From f5bc9d2edb0752683d1f334be4848febbdfd7fb5 Mon Sep 17 00:00:00 2001
From: Apertis CI <devel@lists.apertis.org>
Date: Sat, 6 Mar 2021 14:07:31 +0000
Subject: [PATCH 1/6] Import Upstream version 1.1.1j
---
AUTHORS | 7 +
CHANGES | 224 +-
CONTRIBUTING | 6 +-
Configurations/10-main.conf | 30 +-
Configurations/15-android.conf | 2 +-
Configurations/50-win-onecore.conf | 2 +-
Configurations/descrip.mms.tmpl | 46 +-
Configurations/unix-Makefile.tmpl | 204 +-
Configurations/windows-makefile.tmpl | 4 +-
Configure | 227 +-
INSTALL | 41 +-
NEWS | 37 +
NOTES.ANDROID | 43 +-
NOTES.PERL | 2 +-
NOTES.VMS | 14 +-
NOTES.WIN | 14 +-
README | 4 +-
VMS/msg_install.com | 19 +
VMS/msg_staging.com | 37 +
apps/apps.c | 30 +-
apps/apps.h | 4 +-
apps/build.info | 61 +-
apps/ca.c | 57 +-
apps/cms.c | 8 +-
apps/dgst.c | 126 +-
apps/dhparam.c | 63 +-
apps/dsa.c | 55 +-
apps/dsaparam.c | 35 +-
apps/ec.c | 29 +-
apps/ecparam.c | 36 +-
apps/enc.c | 3 +-
apps/engine.c | 25 +-
apps/gendsa.c | 35 +-
apps/genpkey.c | 8 +-
apps/genrsa.c | 45 +-
apps/ocsp.c | 171 +-
apps/openssl.c | 7 +
apps/passwd.c | 2 +-
apps/pkcs12.c | 118 +-
apps/pkeyutl.c | 5 +-
apps/rehash.c | 14 +-
apps/req.c | 15 +-
apps/rsa.c | 59 +-
apps/rsa8192.pem | 4 +-
apps/rsautl.c | 37 +-
apps/s_cb.c | 3 +-
apps/s_client.c | 22 +-
apps/s_server.c | 21 +-
apps/s_time.c | 3 +-
apps/server.pem | 95 +-
apps/speed.c | 43 +-
apps/srp.c | 41 +-
apps/timeouts.h | 6 +-
apps/ts.c | 51 +-
apps/vms_term_sock.h | 4 +-
apps/x509.c | 16 +-
appveyor.yml | 22 +-
build.info | 14 +-
config | 28 +-
crypto/LPdir_unix.c | 5 +-
crypto/aes/aes_core.c | 636 +-
crypto/aes/aes_ecb.c | 2 +-
crypto/aes/aes_ige.c | 18 +-
crypto/aes/{aes_locl.h => aes_local.h} | 9 +-
crypto/aes/aes_misc.c | 2 +-
crypto/aes/aes_x86core.c | 2 +-
crypto/aes/asm/aes-armv4.pl | 4 +-
crypto/aes/asm/aes-c64xplus.pl | 4 +-
crypto/aes/asm/aes-mips.pl | 4 +-
crypto/aes/asm/aes-parisc.pl | 4 +-
crypto/aes/asm/aes-ppc.pl | 4 +-
crypto/aes/asm/aes-s390x.pl | 8 +-
crypto/aes/asm/aes-sparcv9.pl | 4 +-
crypto/aes/asm/aesfx-sparcv9.pl | 4 +-
crypto/aes/asm/aesni-mb-x86_64.pl | 6 +-
crypto/aes/asm/aesni-sha1-x86_64.pl | 12 +-
crypto/aes/asm/aesni-sha256-x86_64.pl | 66 +-
crypto/aes/asm/aesni-x86.pl | 4 +-
crypto/aes/asm/aesni-x86_64.pl | 30 +-
crypto/aes/asm/aesp8-ppc.pl | 4 +-
crypto/aes/asm/aest4-sparcv9.pl | 4 +-
crypto/aes/asm/aesv8-armx.pl | 42 +-
crypto/aes/asm/bsaes-armv7.pl | 4 +-
crypto/aes/asm/vpaes-armv8.pl | 4 +-
crypto/aes/asm/vpaes-ppc.pl | 4 +-
crypto/aes/asm/vpaes-x86.pl | 4 +-
crypto/aes/asm/vpaes-x86_64.pl | 4 +-
crypto/alphacpuid.pl | 4 +-
crypto/aria/aria.c | 2 +-
crypto/arm64cpuid.pl | 4 +-
crypto/arm_arch.h | 4 +-
crypto/armcap.c | 19 +-
crypto/armv4cpuid.pl | 4 +-
crypto/asn1/a_bitstr.c | 2 +-
crypto/asn1/a_d2i_fp.c | 2 +-
crypto/asn1/a_gentm.c | 2 +-
crypto/asn1/a_int.c | 2 +-
crypto/asn1/a_mbstr.c | 2 +-
crypto/asn1/a_object.c | 6 +-
crypto/asn1/a_print.c | 2 +-
crypto/asn1/a_sign.c | 4 +-
crypto/asn1/a_strex.c | 2 +-
crypto/asn1/a_time.c | 4 +-
crypto/asn1/a_type.c | 2 +-
crypto/asn1/a_utctm.c | 2 +-
crypto/asn1/a_verify.c | 4 +-
crypto/asn1/ameth_lib.c | 4 +-
crypto/asn1/asn1_err.c | 4 +-
crypto/asn1/asn1_lib.c | 25 +-
crypto/asn1/{asn1_locl.h => asn1_local.h} | 0
crypto/asn1/asn1_par.c | 38 +-
crypto/asn1/asn_mime.c | 16 +-
crypto/asn1/asn_moid.c | 6 +-
crypto/asn1/charmap.h | 2 +-
crypto/asn1/d2i_pr.c | 8 +-
crypto/asn1/d2i_pu.c | 2 +-
crypto/asn1/f_int.c | 2 +-
crypto/asn1/f_string.c | 2 +-
crypto/asn1/i2d_pr.c | 4 +-
crypto/asn1/p8_pkey.c | 2 +-
crypto/asn1/t_pkey.c | 2 +-
crypto/asn1/tasn_dec.c | 23 +-
crypto/asn1/tasn_enc.c | 22 +-
crypto/asn1/tasn_fre.c | 2 +-
crypto/asn1/tasn_new.c | 2 +-
crypto/asn1/tasn_prn.c | 4 +-
crypto/asn1/tasn_scn.c | 2 +-
crypto/asn1/tasn_utl.c | 2 +-
crypto/asn1/x_algor.c | 36 +-
crypto/asn1/x_bignum.c | 6 +-
crypto/asn1/x_int64.c | 2 +-
crypto/asn1/x_sig.c | 2 +-
crypto/async/arch/async_null.c | 2 +-
crypto/async/arch/async_posix.c | 2 +-
crypto/async/arch/async_posix.h | 6 +-
crypto/async/arch/async_win.c | 2 +-
crypto/async/async.c | 4 +-
crypto/async/{async_locl.h => async_local.h} | 2 +-
crypto/async/async_wait.c | 2 +-
crypto/bf/asm/bf-586.pl | 4 +-
crypto/bf/bf_cfb64.c | 2 +-
crypto/bf/bf_ecb.c | 2 +-
crypto/bf/bf_enc.c | 2 +-
crypto/bf/{bf_locl.h => bf_local.h} | 4 +-
crypto/bf/bf_ofb64.c | 2 +-
crypto/bf/bf_skey.c | 2 +-
crypto/bio/b_addr.c | 14 +-
crypto/bio/b_dump.c | 6 +-
crypto/bio/b_print.c | 10 +-
crypto/bio/b_sock.c | 2 +-
crypto/bio/b_sock2.c | 2 +-
crypto/bio/bf_buff.c | 2 +-
crypto/bio/bf_lbuf.c | 2 +-
crypto/bio/bf_nbio.c | 2 +-
crypto/bio/bf_null.c | 2 +-
crypto/bio/bio_cb.c | 2 +-
crypto/bio/bio_lib.c | 2 +-
crypto/bio/{bio_lcl.h => bio_local.h} | 6 +-
crypto/bio/bio_meth.c | 2 +-
crypto/bio/bss_acpt.c | 30 +-
crypto/bio/bss_bio.c | 2 +-
crypto/bio/bss_conn.c | 54 +-
crypto/bio/bss_dgram.c | 2 +-
crypto/bio/bss_fd.c | 9 +-
crypto/bio/bss_file.c | 2 +-
crypto/bio/bss_log.c | 2 +-
crypto/bio/bss_mem.c | 2 +-
crypto/bio/bss_null.c | 2 +-
crypto/bio/bss_sock.c | 9 +-
.../blake2/{blake2_locl.h => blake2_local.h} | 0
crypto/blake2/blake2b.c | 2 +-
crypto/blake2/blake2s.c | 2 +-
crypto/blake2/m_blake2b.c | 4 +-
crypto/blake2/m_blake2s.c | 4 +-
crypto/bn/README.pod | 2 +-
crypto/bn/asm/alpha-mont.pl | 4 +-
crypto/bn/asm/armv4-gf2m.pl | 4 +-
crypto/bn/asm/armv4-mont.pl | 4 +-
crypto/bn/asm/armv8-mont.pl | 4 +-
crypto/bn/asm/bn-586.pl | 4 +-
crypto/bn/asm/c64xplus-gf2m.pl | 4 +-
crypto/bn/asm/co-586.pl | 12 +-
crypto/bn/asm/ia64-mont.pl | 4 +-
crypto/bn/asm/mips-mont.pl | 4 +-
crypto/bn/asm/mips.pl | 4 +-
crypto/bn/asm/parisc-mont.pl | 4 +-
crypto/bn/asm/ppc-mont.pl | 4 +-
crypto/bn/asm/ppc.pl | 4 +-
crypto/bn/asm/ppc64-mont.pl | 4 +-
crypto/bn/asm/rsaz-avx2.pl | 6 +-
crypto/bn/asm/rsaz-x86_64.pl | 403 +-
crypto/bn/asm/s390x-gf2m.pl | 4 +-
crypto/bn/asm/s390x-mont.pl | 12 +-
crypto/bn/asm/s390x.S | 2 +-
crypto/bn/asm/sparct4-mont.pl | 4 +-
crypto/bn/asm/sparcv9-gf2m.pl | 4 +-
crypto/bn/asm/sparcv9-mont.pl | 4 +-
crypto/bn/asm/sparcv9a-mont.pl | 4 +-
crypto/bn/asm/via-mont.pl | 4 +-
crypto/bn/asm/vis3-mont.pl | 4 +-
crypto/bn/asm/x86-gf2m.pl | 4 +-
crypto/bn/asm/x86-mont.pl | 4 +-
crypto/bn/asm/x86_64-gcc.c | 2 +-
crypto/bn/asm/x86_64-gf2m.pl | 4 +-
crypto/bn/asm/x86_64-mont.pl | 6 +-
crypto/bn/asm/x86_64-mont5.pl | 24 +-
crypto/bn/bn_add.c | 2 +-
crypto/bn/bn_asm.c | 2 +-
crypto/bn/bn_blind.c | 2 +-
crypto/bn/bn_ctx.c | 2 +-
crypto/bn/bn_depr.c | 2 +-
crypto/bn/bn_dh.c | 4 +-
crypto/bn/bn_div.c | 2 +-
crypto/bn/bn_exp.c | 4 +-
crypto/bn/bn_exp2.c | 2 +-
crypto/bn/bn_gcd.c | 526 +-
crypto/bn/bn_gf2m.c | 2 +-
crypto/bn/bn_intern.c | 2 +-
crypto/bn/bn_kron.c | 2 +-
crypto/bn/bn_lib.c | 26 +-
crypto/bn/{bn_lcl.h => bn_local.h} | 13 +-
crypto/bn/bn_mod.c | 2 +-
crypto/bn/bn_mont.c | 2 +-
crypto/bn/bn_mpi.c | 6 +-
crypto/bn/bn_mul.c | 2 +-
crypto/bn/bn_nist.c | 2 +-
crypto/bn/bn_prime.c | 203 +-
crypto/bn/bn_prime.h | 2 +-
crypto/bn/bn_print.c | 4 +-
crypto/bn/bn_rand.c | 2 +-
crypto/bn/bn_recp.c | 2 +-
crypto/bn/bn_shift.c | 73 +-
crypto/bn/bn_sqr.c | 2 +-
crypto/bn/bn_sqrt.c | 2 +-
crypto/bn/bn_srp.c | 4 +-
crypto/bn/bn_word.c | 2 +-
crypto/bn/bn_x931p.c | 2 +-
crypto/bn/build.info | 1 -
crypto/bn/rsaz_exp.h | 4 +-
crypto/c64xpluscpuid.pl | 4 +-
crypto/camellia/asm/cmll-x86.pl | 4 +-
crypto/camellia/asm/cmll-x86_64.pl | 12 +-
crypto/camellia/asm/cmllt4-sparcv9.pl | 4 +-
crypto/camellia/camellia.c | 2 +-
crypto/camellia/cmll_ecb.c | 2 +-
crypto/camellia/{cmll_locl.h => cmll_local.h} | 6 +-
crypto/camellia/cmll_misc.c | 2 +-
crypto/cast/asm/cast-586.pl | 4 +-
crypto/cast/c_cfb64.c | 2 +-
crypto/cast/c_ecb.c | 2 +-
crypto/cast/c_enc.c | 2 +-
crypto/cast/c_ofb64.c | 2 +-
crypto/cast/c_skey.c | 2 +-
crypto/cast/{cast_lcl.h => cast_local.h} | 0
crypto/chacha/asm/chacha-armv4.pl | 4 +-
crypto/chacha/asm/chacha-armv8.pl | 5 +-
crypto/chacha/asm/chacha-c64xplus.pl | 4 +-
crypto/chacha/asm/chacha-ppc.pl | 4 +-
crypto/chacha/asm/chacha-s390x.pl | 4 +-
crypto/chacha/asm/chacha-x86.pl | 6 +-
crypto/chacha/asm/chacha-x86_64.pl | 6 +-
crypto/chacha/chacha_enc.c | 19 +-
crypto/cmac/cm_ameth.c | 2 +-
crypto/cmac/cm_pmeth.c | 2 +-
crypto/cmac/cmac.c | 21 +-
crypto/cms/cms_asn1.c | 2 +-
crypto/cms/cms_att.c | 2 +-
crypto/cms/cms_cd.c | 2 +-
crypto/cms/cms_dd.c | 2 +-
crypto/cms/cms_enc.c | 2 +-
crypto/cms/cms_env.c | 6 +-
crypto/cms/cms_ess.c | 2 +-
crypto/cms/cms_io.c | 2 +-
crypto/cms/cms_kari.c | 6 +-
crypto/cms/cms_lib.c | 7 +-
crypto/cms/{cms_lcl.h => cms_local.h} | 4 +-
crypto/cms/cms_pwri.c | 4 +-
crypto/cms/cms_sd.c | 12 +-
crypto/cms/cms_smime.c | 8 +-
crypto/comp/c_zlib.c | 26 +-
crypto/comp/comp_lib.c | 2 +-
crypto/comp/{comp_lcl.h => comp_local.h} | 0
crypto/conf/conf_def.c | 35 +-
crypto/conf/conf_def.h | 2 +-
crypto/conf/conf_lib.c | 10 +-
crypto/conf/{conf_lcl.h => conf_local.h} | 0
crypto/conf/conf_mall.c | 2 +-
crypto/conf/conf_ssl.c | 2 +-
crypto/cryptlib.c | 4 +-
crypto/ct/ct_b64.c | 2 +-
crypto/ct/{ct_locl.h => ct_local.h} | 0
crypto/ct/ct_oct.c | 2 +-
crypto/ct/ct_policy.c | 2 +-
crypto/ct/ct_prn.c | 2 +-
crypto/ct/ct_sct.c | 2 +-
crypto/ct/ct_sct_ctx.c | 2 +-
crypto/ct/ct_vfy.c | 2 +-
crypto/ct/ct_x509v3.c | 2 +-
crypto/ctype.c | 2 +-
crypto/des/asm/crypt586.pl | 4 +-
crypto/des/asm/des-586.pl | 4 +-
crypto/des/asm/des_enc.m4 | 8 +-
crypto/des/asm/dest4-sparcv9.pl | 4 +-
crypto/des/cbc_cksm.c | 2 +-
crypto/des/cfb64ede.c | 2 +-
crypto/des/cfb64enc.c | 2 +-
crypto/des/cfb_enc.c | 2 +-
crypto/des/des_enc.c | 2 +-
crypto/des/{des_locl.h => des_local.h} | 4 +-
crypto/des/ecb3_enc.c | 2 +-
crypto/des/ecb_enc.c | 2 +-
crypto/des/fcrypt.c | 2 +-
crypto/des/fcrypt_b.c | 2 +-
crypto/des/ncbc_enc.c | 2 +-
crypto/des/ofb64ede.c | 2 +-
crypto/des/ofb64enc.c | 2 +-
crypto/des/ofb_enc.c | 2 +-
crypto/des/pcbc_enc.c | 2 +-
crypto/des/qud_cksm.c | 2 +-
crypto/des/set_key.c | 2 +-
crypto/des/str2key.c | 2 +-
crypto/des/xcbc_enc.c | 2 +-
crypto/dh/dh_ameth.c | 7 +-
crypto/dh/dh_asn1.c | 2 +-
crypto/dh/dh_check.c | 2 +-
crypto/dh/dh_gen.c | 6 +-
crypto/dh/dh_key.c | 37 +-
crypto/dh/dh_lib.c | 2 +-
crypto/dh/{dh_locl.h => dh_local.h} | 0
crypto/dh/dh_meth.c | 2 +-
crypto/dh/dh_pmeth.c | 4 +-
crypto/dh/dh_rfc5114.c | 4 +-
crypto/dh/dh_rfc7919.c | 4 +-
crypto/dllmain.c | 2 +-
crypto/dsa/dsa_ameth.c | 6 +-
crypto/dsa/dsa_asn1.c | 2 +-
crypto/dsa/dsa_gen.c | 2 +-
crypto/dsa/dsa_key.c | 2 +-
crypto/dsa/dsa_lib.c | 2 +-
crypto/dsa/{dsa_locl.h => dsa_local.h} | 0
crypto/dsa/dsa_meth.c | 2 +-
crypto/dsa/dsa_ossl.c | 4 +-
crypto/dsa/dsa_pmeth.c | 12 +-
crypto/dsa/dsa_sign.c | 2 +-
crypto/dsa/dsa_vrf.c | 2 +-
crypto/dso/dso_dl.c | 2 +-
crypto/dso/dso_dlfcn.c | 2 +-
crypto/dso/dso_lib.c | 2 +-
crypto/dso/{dso_locl.h => dso_local.h} | 2 +-
crypto/dso/dso_openssl.c | 2 +-
crypto/dso/dso_vms.c | 2 +-
crypto/dso/dso_win32.c | 8 +-
crypto/ec/asm/ecp_nistz256-armv4.pl | 83 +-
crypto/ec/asm/ecp_nistz256-armv8.pl | 69 +-
crypto/ec/asm/ecp_nistz256-avx2.pl | 2080 --
crypto/ec/asm/ecp_nistz256-ppc64.pl | 4 +-
crypto/ec/asm/ecp_nistz256-sparcv9.pl | 4 +-
crypto/ec/asm/ecp_nistz256-x86.pl | 80 +-
crypto/ec/asm/ecp_nistz256-x86_64.pl | 40 +-
crypto/ec/asm/x25519-ppc64.pl | 4 +-
crypto/ec/asm/x25519-x86_64.pl | 20 +-
crypto/ec/curve25519.c | 2 +-
crypto/ec/curve448/arch_32/arch_intrinsics.h | 8 +-
crypto/ec/curve448/arch_32/f_impl.h | 6 +-
crypto/ec/curve448/curve448.c | 2 +-
.../{curve448_lcl.h => curve448_local.h} | 6 +-
crypto/ec/curve448/curve448utils.h | 4 +-
crypto/ec/curve448/ed448.h | 6 +-
crypto/ec/curve448/eddsa.c | 11 +-
crypto/ec/curve448/field.h | 8 +-
crypto/ec/curve448/point_448.h | 6 +-
crypto/ec/curve448/word.h | 6 +-
crypto/ec/ec2_oct.c | 2 +-
crypto/ec/ec2_smpl.c | 4 +-
crypto/ec/ec_ameth.c | 33 +-
crypto/ec/ec_asn1.c | 67 +-
crypto/ec/ec_check.c | 2 +-
crypto/ec/ec_curve.c | 2 +-
crypto/ec/ec_cvt.c | 2 +-
crypto/ec/ec_err.c | 3 +-
crypto/ec/ec_key.c | 85 +-
crypto/ec/ec_kmeth.c | 2 +-
crypto/ec/ec_lib.c | 13 +-
crypto/ec/{ec_lcl.h => ec_local.h} | 6 +-
crypto/ec/ec_mult.c | 35 +-
crypto/ec/ec_oct.c | 2 +-
crypto/ec/ec_pmeth.c | 4 +-
crypto/ec/ec_print.c | 6 +-
crypto/ec/ecdh_kdf.c | 2 +-
crypto/ec/ecdh_ossl.c | 2 +-
crypto/ec/ecdsa_ossl.c | 6 +-
crypto/ec/ecdsa_sign.c | 2 +-
crypto/ec/ecdsa_vrf.c | 8 +-
crypto/ec/ecp_mont.c | 2 +-
crypto/ec/ecp_nist.c | 2 +-
crypto/ec/ecp_nistp224.c | 48 +-
crypto/ec/ecp_nistp256.c | 30 +-
crypto/ec/ecp_nistp521.c | 57 +-
crypto/ec/ecp_nistputil.c | 2 +-
crypto/ec/ecp_nistz256.c | 355 +-
crypto/ec/ecp_oct.c | 2 +-
crypto/ec/ecp_smpl.c | 311 +-
crypto/ec/ecx_meth.c | 10 +-
crypto/engine/README | 2 +-
crypto/engine/eng_all.c | 2 +-
crypto/engine/eng_cnf.c | 2 +-
crypto/engine/eng_ctrl.c | 2 +-
crypto/engine/eng_devcrypto.c | 2 +-
crypto/engine/eng_dyn.c | 2 +-
crypto/engine/eng_fat.c | 2 +-
crypto/engine/eng_init.c | 2 +-
crypto/engine/eng_lib.c | 5 +-
crypto/engine/eng_list.c | 2 +-
crypto/engine/{eng_int.h => eng_local.h} | 8 +-
crypto/engine/eng_openssl.c | 6 +-
crypto/engine/eng_pkey.c | 2 +-
crypto/engine/eng_rdrand.c | 2 +-
crypto/engine/eng_table.c | 6 +-
crypto/engine/tb_asnmth.c | 7 +-
crypto/engine/tb_cipher.c | 2 +-
crypto/engine/tb_dh.c | 2 +-
crypto/engine/tb_digest.c | 2 +-
crypto/engine/tb_dsa.c | 2 +-
crypto/engine/tb_eckey.c | 2 +-
crypto/engine/tb_pkmeth.c | 2 +-
crypto/engine/tb_rand.c | 2 +-
crypto/engine/tb_rsa.c | 2 +-
crypto/err/err.c | 8 +-
crypto/err/err_all.c | 2 +-
crypto/err/openssl.ec | 10 +-
crypto/err/openssl.txt | 14 +-
crypto/evp/bio_md.c | 4 +-
crypto/evp/bio_ok.c | 6 +-
crypto/evp/c_allc.c | 2 +-
crypto/evp/c_alld.c | 2 +-
crypto/evp/cmeth_lib.c | 4 +-
crypto/evp/digest.c | 4 +-
crypto/evp/e_aes.c | 14 +-
crypto/evp/e_aes_cbc_hmac_sha1.c | 8 +-
crypto/evp/e_aes_cbc_hmac_sha256.c | 10 +-
crypto/evp/e_aria.c | 15 +-
crypto/evp/e_bf.c | 2 +-
crypto/evp/e_camellia.c | 4 +-
crypto/evp/e_cast.c | 2 +-
crypto/evp/e_chacha20_poly1305.c | 8 +-
crypto/evp/e_des.c | 2 +-
crypto/evp/e_des3.c | 4 +-
crypto/evp/e_idea.c | 2 +-
crypto/evp/e_null.c | 2 +-
crypto/evp/e_rc2.c | 2 +-
crypto/evp/e_rc4.c | 2 +-
crypto/evp/e_rc4_hmac_md5.c | 2 +-
crypto/evp/e_rc5.c | 4 +-
crypto/evp/e_seed.c | 2 +-
crypto/evp/e_sm4.c | 4 +-
crypto/evp/e_xcbc_d.c | 2 +-
crypto/evp/encode.c | 8 +-
crypto/evp/evp_enc.c | 62 +-
crypto/evp/evp_err.c | 5 +-
crypto/evp/evp_lib.c | 4 +-
crypto/evp/{evp_locl.h => evp_local.h} | 0
crypto/evp/evp_pbe.c | 2 +-
crypto/evp/evp_pkey.c | 6 +-
crypto/evp/m_md2.c | 2 +-
crypto/evp/m_md4.c | 2 +-
crypto/evp/m_md5.c | 2 +-
crypto/evp/m_md5_sha1.c | 2 +-
crypto/evp/m_mdc2.c | 2 +-
crypto/evp/m_null.c | 2 +-
crypto/evp/m_ripemd.c | 2 +-
crypto/evp/m_sha1.c | 4 +-
crypto/evp/m_sha3.c | 4 +-
crypto/evp/m_sigver.c | 4 +-
crypto/evp/m_wp.c | 2 +-
crypto/evp/names.c | 4 +-
crypto/evp/p5_crpt.c | 26 +-
crypto/evp/p5_crpt2.c | 2 +-
crypto/evp/p_lib.c | 12 +-
crypto/evp/p_sign.c | 2 +-
crypto/evp/p_verify.c | 2 +-
crypto/evp/pmeth_fn.c | 2 +-
crypto/evp/pmeth_gn.c | 6 +-
crypto/evp/pmeth_lib.c | 36 +-
crypto/ex_data.c | 8 +-
crypto/hmac/hm_ameth.c | 4 +-
crypto/hmac/hm_pmeth.c | 2 +-
crypto/hmac/hmac.c | 44 +-
crypto/hmac/{hmac_lcl.h => hmac_local.h} | 8 +-
crypto/idea/i_cbc.c | 2 +-
crypto/idea/i_cfb64.c | 2 +-
crypto/idea/i_ecb.c | 2 +-
crypto/idea/i_ofb64.c | 2 +-
crypto/idea/i_skey.c | 2 +-
crypto/idea/{idea_lcl.h => idea_local.h} | 0
crypto/include/internal/store.h | 10 -
crypto/init.c | 18 +-
crypto/kdf/hkdf.c | 2 +-
crypto/kdf/scrypt.c | 2 +-
crypto/kdf/tls1_prf.c | 2 +-
crypto/lhash/lh_stats.c | 2 +-
crypto/lhash/lhash.c | 6 +-
crypto/lhash/{lhash_lcl.h => lhash_local.h} | 0
crypto/md4/md4_dgst.c | 4 +-
crypto/md4/{md4_locl.h => md4_local.h} | 4 +-
crypto/md5/asm/md5-586.pl | 4 +-
crypto/md5/asm/md5-sparcv9.pl | 4 +-
crypto/md5/asm/md5-x86_64.pl | 4 +-
crypto/md5/md5_dgst.c | 4 +-
crypto/md5/{md5_locl.h => md5_local.h} | 4 +-
crypto/mem.c | 2 +-
crypto/mem_sec.c | 12 +-
crypto/mips_arch.h | 4 +-
crypto/modes/asm/aesni-gcm-x86_64.pl | 14 +-
crypto/modes/asm/ghash-alpha.pl | 4 +-
crypto/modes/asm/ghash-armv4.pl | 4 +-
crypto/modes/asm/ghash-c64xplus.pl | 4 +-
crypto/modes/asm/ghash-ia64.pl | 4 +-
crypto/modes/asm/ghash-parisc.pl | 4 +-
crypto/modes/asm/ghash-s390x.pl | 4 +-
crypto/modes/asm/ghash-sparcv9.pl | 4 +-
crypto/modes/asm/ghash-x86.pl | 4 +-
crypto/modes/asm/ghash-x86_64.pl | 6 +-
crypto/modes/asm/ghashp8-ppc.pl | 4 +-
crypto/modes/asm/ghashv8-armx.pl | 4 +-
crypto/modes/cbc128.c | 23 +-
crypto/modes/ccm128.c | 26 +-
crypto/modes/cfb128.c | 22 +-
crypto/modes/ctr128.c | 15 +-
crypto/modes/cts128.c | 2 +-
crypto/modes/gcm128.c | 26 +-
crypto/modes/{modes_lcl.h => modes_local.h} | 21 +-
crypto/modes/ocb128.c | 2 +-
crypto/modes/ofb128.c | 15 +-
crypto/modes/xts128.c | 28 +-
crypto/o_str.c | 4 +-
crypto/o_time.c | 4 +-
crypto/objects/o_names.c | 4 +-
crypto/objects/obj_dat.c | 8 +-
crypto/objects/obj_dat.h | 10 +-
crypto/objects/obj_lib.c | 2 +-
crypto/objects/{obj_lcl.h => obj_local.h} | 0
crypto/objects/obj_xref.h | 2 +-
crypto/objects/objects.txt | 4 +-
crypto/ocsp/ocsp_asn.c | 2 +-
crypto/ocsp/ocsp_cl.c | 2 +-
crypto/ocsp/ocsp_ext.c | 2 +-
crypto/ocsp/ocsp_ht.c | 2 +-
crypto/ocsp/ocsp_lib.c | 2 +-
crypto/ocsp/{ocsp_lcl.h => ocsp_local.h} | 0
crypto/ocsp/ocsp_prn.c | 2 +-
crypto/ocsp/ocsp_srv.c | 2 +-
crypto/ocsp/ocsp_vfy.c | 2 +-
crypto/ocsp/v3_ocsp.c | 2 +-
crypto/pariscid.pl | 4 +-
crypto/pem/pem_all.c | 11 +-
crypto/pem/pem_err.c | 6 +-
crypto/pem/pem_lib.c | 38 +-
crypto/pem/pem_pkey.c | 12 +-
crypto/pem/pvkfmt.c | 16 +-
crypto/perlasm/README | 2 +-
crypto/perlasm/arm-xlate.pl | 4 +-
crypto/perlasm/ppc-xlate.pl | 4 +-
crypto/perlasm/x86_64-xlate.pl | 4 +-
crypto/pkcs12/p12_add.c | 2 +-
crypto/pkcs12/p12_asn.c | 2 +-
crypto/pkcs12/p12_attr.c | 2 +-
crypto/pkcs12/p12_crt.c | 7 +-
crypto/pkcs12/p12_init.c | 2 +-
crypto/pkcs12/{p12_lcl.h => p12_local.h} | 0
crypto/pkcs12/p12_mutl.c | 2 +-
crypto/pkcs12/p12_npas.c | 2 +-
crypto/pkcs12/p12_p8e.c | 2 +-
crypto/pkcs12/p12_sbag.c | 2 +-
crypto/pkcs7/pk7_lib.c | 4 +-
crypto/pkcs7/pk7_smime.c | 4 +-
crypto/poly1305/asm/poly1305-armv4.pl | 15 +-
crypto/poly1305/asm/poly1305-armv8.pl | 12 +-
crypto/poly1305/asm/poly1305-mips.pl | 4 +-
crypto/poly1305/asm/poly1305-ppc.pl | 4 +-
crypto/poly1305/asm/poly1305-ppcfp.pl | 4 +-
crypto/poly1305/asm/poly1305-s390x.pl | 4 +-
crypto/poly1305/asm/poly1305-sparcv9.pl | 4 +-
crypto/poly1305/asm/poly1305-x86.pl | 6 +-
crypto/poly1305/asm/poly1305-x86_64.pl | 30 +-
crypto/poly1305/poly1305.c | 4 +-
crypto/poly1305/poly1305_ameth.c | 6 +-
crypto/poly1305/poly1305_pmeth.c | 4 +-
crypto/ppc_arch.h | 4 +-
crypto/ppccap.c | 24 +-
crypto/ppccpuid.pl | 4 +-
crypto/rand/build.info | 2 +
crypto/rand/drbg_ctr.c | 229 +-
crypto/rand/drbg_lib.c | 68 +-
crypto/rand/rand_err.c | 5 +-
crypto/rand/rand_lib.c | 34 +-
crypto/rand/{rand_lcl.h => rand_local.h} | 27 +-
crypto/rand/rand_unix.c | 88 +-
crypto/rand/rand_vms.c | 112 +-
crypto/rand/rand_win.c | 6 +-
crypto/rand/randfile.c | 4 +-
crypto/rc2/rc2_cbc.c | 2 +-
crypto/rc2/rc2_ecb.c | 2 +-
crypto/rc2/{rc2_locl.h => rc2_local.h} | 0
crypto/rc2/rc2_skey.c | 2 +-
crypto/rc2/rc2cfb64.c | 2 +-
crypto/rc2/rc2ofb64.c | 2 +-
crypto/rc4/asm/rc4-586.pl | 4 +-
crypto/rc4/asm/rc4-c64xplus.pl | 4 +-
crypto/rc4/asm/rc4-md5-x86_64.pl | 6 +-
crypto/rc4/asm/rc4-parisc.pl | 4 +-
crypto/rc4/asm/rc4-s390x.pl | 12 +-
crypto/rc4/asm/rc4-x86_64.pl | 13 +-
crypto/rc4/rc4_enc.c | 2 +-
crypto/rc4/{rc4_locl.h => rc4_local.h} | 4 +-
crypto/rc4/rc4_skey.c | 2 +-
crypto/rc5/asm/rc5-586.pl | 4 +-
crypto/rc5/rc5_ecb.c | 2 +-
crypto/rc5/rc5_enc.c | 2 +-
crypto/rc5/{rc5_locl.h => rc5_local.h} | 0
crypto/rc5/rc5_skey.c | 2 +-
crypto/rc5/rc5cfb64.c | 2 +-
crypto/rc5/rc5ofb64.c | 2 +-
crypto/ripemd/asm/rmd-586.pl | 4 +-
crypto/ripemd/rmd_dgst.c | 4 +-
crypto/ripemd/{rmd_locl.h => rmd_local.h} | 4 +-
crypto/rsa/rsa_ameth.c | 17 +-
crypto/rsa/rsa_asn1.c | 2 +-
crypto/rsa/rsa_chk.c | 2 +-
crypto/rsa/rsa_crpt.c | 4 +-
crypto/rsa/rsa_gen.c | 2 +-
crypto/rsa/rsa_lib.c | 11 +-
crypto/rsa/{rsa_locl.h => rsa_local.h} | 0
crypto/rsa/rsa_meth.c | 2 +-
crypto/rsa/rsa_mp.c | 2 +-
crypto/rsa/rsa_oaep.c | 4 +-
crypto/rsa/rsa_ossl.c | 6 +-
crypto/rsa/rsa_pk1.c | 24 +-
crypto/rsa/rsa_pmeth.c | 6 +-
crypto/rsa/rsa_pss.c | 2 +-
crypto/rsa/rsa_sign.c | 4 +-
crypto/rsa/rsa_ssl.c | 32 +-
crypto/rsa/rsa_x931g.c | 2 +-
crypto/s390x_arch.h | 4 +-
crypto/s390xcpuid.pl | 4 +-
crypto/seed/seed.c | 2 +-
crypto/seed/{seed_locl.h => seed_local.h} | 6 +-
crypto/sha/asm/keccak1600-armv4.pl | 4 +-
crypto/sha/asm/keccak1600-armv8.pl | 4 +-
crypto/sha/asm/keccak1600-avx2.pl | 4 +-
crypto/sha/asm/keccak1600-avx512.pl | 4 +-
crypto/sha/asm/keccak1600-avx512vl.pl | 4 +-
crypto/sha/asm/keccak1600-c64x.pl | 4 +-
crypto/sha/asm/keccak1600-mmx.pl | 6 +-
crypto/sha/asm/keccak1600-ppc64.pl | 4 +-
crypto/sha/asm/keccak1600-s390x.pl | 4 +-
crypto/sha/asm/keccak1600-x86_64.pl | 8 +-
crypto/sha/asm/keccak1600p8-ppc.pl | 4 +-
crypto/sha/asm/sha1-586.pl | 6 +-
crypto/sha/asm/sha1-alpha.pl | 4 +-
crypto/sha/asm/sha1-armv4-large.pl | 4 +-
crypto/sha/asm/sha1-armv8.pl | 6 +-
crypto/sha/asm/sha1-c64xplus.pl | 4 +-
crypto/sha/asm/sha1-mb-x86_64.pl | 6 +-
crypto/sha/asm/sha1-mips.pl | 4 +-
crypto/sha/asm/sha1-parisc.pl | 4 +-
crypto/sha/asm/sha1-ppc.pl | 4 +-
crypto/sha/asm/sha1-s390x.pl | 4 +-
crypto/sha/asm/sha1-sparcv9.pl | 4 +-
crypto/sha/asm/sha1-sparcv9a.pl | 4 +-
crypto/sha/asm/sha1-thumb.pl | 4 +-
crypto/sha/asm/sha1-x86_64.pl | 8 +-
crypto/sha/asm/sha256-586.pl | 6 +-
crypto/sha/asm/sha256-armv4.pl | 4 +-
crypto/sha/asm/sha256-c64xplus.pl | 4 +-
crypto/sha/asm/sha256-mb-x86_64.pl | 6 +-
crypto/sha/asm/sha512-586.pl | 4 +-
crypto/sha/asm/sha512-armv4.pl | 4 +-
crypto/sha/asm/sha512-armv8.pl | 11 +-
crypto/sha/asm/sha512-c64xplus.pl | 4 +-
crypto/sha/asm/sha512-mips.pl | 4 +-
crypto/sha/asm/sha512-parisc.pl | 4 +-
crypto/sha/asm/sha512-ppc.pl | 4 +-
crypto/sha/asm/sha512-s390x.pl | 4 +-
crypto/sha/asm/sha512-sparcv9.pl | 4 +-
crypto/sha/asm/sha512-x86_64.pl | 86 +-
crypto/sha/asm/sha512p8-ppc.pl | 4 +-
crypto/sha/sha1dgst.c | 2 +-
crypto/sha/sha256.c | 2 +-
crypto/sha/sha512.c | 2 +-
crypto/sha/{sha_locl.h => sha_local.h} | 2 +-
crypto/siphash/siphash.c | 2 +-
crypto/siphash/siphash_ameth.c | 6 +-
crypto/siphash/siphash_pmeth.c | 4 +-
crypto/sm2/sm2_crypt.c | 6 +-
crypto/sm2/sm2_err.c | 2 +-
crypto/sm2/sm2_pmeth.c | 10 +-
crypto/sm2/sm2_sign.c | 6 +-
crypto/sm3/m_sm3.c | 4 +-
crypto/sm3/sm3.c | 2 +-
crypto/sm3/{sm3_locl.h => sm3_local.h} | 4 +-
crypto/sm4/sm4.c | 2 +-
crypto/sparc_arch.h | 6 +-
crypto/sparcv9cap.c | 4 +-
crypto/srp/srp_lib.c | 15 +-
crypto/srp/srp_vfy.c | 2 +-
crypto/store/loader_file.c | 46 +-
crypto/store/store_init.c | 4 +-
crypto/store/store_lib.c | 12 +-
crypto/store/{store_locl.h => store_local.h} | 0
crypto/store/store_register.c | 4 +-
crypto/threads_none.c | 2 +-
crypto/threads_win.c | 10 +-
crypto/ts/ts_asn1.c | 2 +-
crypto/ts/ts_lib.c | 2 +-
crypto/ts/{ts_lcl.h => ts_local.h} | 0
crypto/ts/ts_req_print.c | 2 +-
crypto/ts/ts_req_utils.c | 2 +-
crypto/ts/ts_rsp_print.c | 2 +-
crypto/ts/ts_rsp_sign.c | 9 +-
crypto/ts/ts_rsp_utils.c | 2 +-
crypto/ts/ts_rsp_verify.c | 12 +-
crypto/ts/ts_verify_ctx.c | 2 +-
crypto/ui/ui_lib.c | 2 +-
crypto/ui/{ui_locl.h => ui_local.h} | 4 +-
crypto/ui/ui_null.c | 2 +-
crypto/ui/ui_openssl.c | 14 +-
crypto/ui/ui_util.c | 5 +-
crypto/whrlpool/asm/wp-mmx.pl | 10 +-
crypto/whrlpool/asm/wp-x86_64.pl | 4 +-
crypto/whrlpool/wp_block.c | 36 +-
crypto/whrlpool/wp_dgst.c | 2 +-
crypto/whrlpool/{wp_locl.h => wp_local.h} | 0
crypto/x509/by_dir.c | 4 +-
crypto/x509/by_file.c | 2 +-
crypto/x509/t_x509.c | 2 +-
crypto/x509/x509_att.c | 6 +-
crypto/x509/x509_cmp.c | 25 +-
crypto/x509/x509_err.c | 3 +-
crypto/x509/x509_ext.c | 2 +-
crypto/x509/{x509_lcl.h => x509_local.h} | 4 +-
crypto/x509/x509_lu.c | 4 +-
crypto/x509/x509_meth.c | 2 +-
crypto/x509/x509_obj.c | 2 +-
crypto/x509/x509_r2x.c | 2 +-
crypto/x509/x509_req.c | 16 +-
crypto/x509/x509_set.c | 6 +-
crypto/x509/x509_trs.c | 9 +-
crypto/x509/x509_txt.c | 4 +-
crypto/x509/x509_v3.c | 2 +-
crypto/x509/x509_vfy.c | 232 +-
crypto/x509/x509_vpm.c | 4 +-
crypto/x509/x509cset.c | 2 +-
crypto/x509/x509name.c | 2 +-
crypto/x509/x509rset.c | 2 +-
crypto/x509/x_all.c | 10 +-
crypto/x509/x_attrib.c | 7 +-
crypto/x509/x_crl.c | 41 +-
crypto/x509/x_exten.c | 2 +-
crypto/x509/x_name.c | 8 +-
crypto/x509/x_pubkey.c | 15 +-
crypto/x509/x_req.c | 2 +-
crypto/x509/x_x509.c | 2 +-
crypto/x509/x_x509a.c | 2 +-
crypto/x509v3/pcy_cache.c | 4 +-
crypto/x509v3/pcy_data.c | 5 +-
crypto/x509v3/pcy_lib.c | 2 +-
crypto/x509v3/{pcy_int.h => pcy_local.h} | 0
crypto/x509v3/pcy_map.c | 4 +-
crypto/x509v3/pcy_node.c | 2 +-
crypto/x509v3/pcy_tree.c | 2 +-
crypto/x509v3/v3_addr.c | 2 +-
crypto/x509v3/v3_admis.h | 4 +-
crypto/x509v3/v3_alt.c | 20 +-
crypto/x509v3/v3_asid.c | 28 +-
crypto/x509v3/v3_conf.c | 4 +-
crypto/x509v3/v3_cpols.c | 2 +-
crypto/x509v3/v3_crld.c | 2 +-
crypto/x509v3/v3_genn.c | 52 +-
crypto/x509v3/v3_ncons.c | 4 +-
crypto/x509v3/v3_purp.c | 181 +-
crypto/x509v3/v3_skey.c | 2 +-
crypto/x509v3/v3_utl.c | 4 +-
crypto/x86_64cpuid.pl | 20 +-
crypto/x86cpuid.pl | 4 +-
doc/HOWTO/proxy_certificates.txt | 319 -
doc/man1/CA.pl.pod | 10 +-
doc/man1/ca.pod | 12 +-
doc/man1/cms.pod | 4 +-
doc/man1/crl2pkcs7.pod | 4 +-
doc/man1/dgst.pod | 16 +-
doc/man1/dsa.pod | 6 +-
doc/man1/ec.pod | 6 +-
doc/man1/enc.pod | 15 +-
doc/man1/genpkey.pod | 4 +-
doc/man1/genrsa.pod | 4 +-
doc/man1/ocsp.pod | 4 +-
doc/man1/pkcs12.pod | 16 +-
doc/man1/pkcs8.pod | 8 +-
doc/man1/pkey.pod | 6 +-
doc/man1/pkeyutl.pod | 6 +-
doc/man1/rand.pod | 35 +-
doc/man1/req.pod | 12 +-
doc/man1/rsa.pod | 6 +-
doc/man1/s_client.pod | 14 +-
doc/man1/s_server.pod | 8 +-
doc/man1/s_time.pod | 8 +-
doc/man1/sess_id.pod | 6 +-
doc/man1/smime.pod | 4 +-
doc/man1/spkac.pod | 4 +-
doc/man1/storeutl.pod | 4 +-
doc/man1/ts.pod | 96 +-
doc/man1/tsget.pod | 30 +-
doc/man1/verify.pod | 23 +-
doc/man1/x509.pod | 23 +-
doc/man3/ASN1_INTEGER_get_int64.pod | 8 +-
doc/man3/ASN1_STRING_length.pod | 4 +-
doc/man3/ASN1_TIME_set.pod | 6 +-
doc/man3/ASN1_TYPE_get.pod | 14 +-
doc/man3/ASYNC_WAIT_CTX_new.pod | 6 +-
doc/man3/ASYNC_start_job.pod | 4 +-
doc/man3/BF_encrypt.pod | 4 +-
doc/man3/BIO_ADDR.pod | 4 +-
doc/man3/BIO_ADDRINFO.pod | 4 +-
doc/man3/BIO_connect.pod | 4 +-
doc/man3/BIO_ctrl.pod | 4 +-
doc/man3/BIO_f_buffer.pod | 20 +-
doc/man3/BIO_get_data.pod | 4 +-
doc/man3/BIO_get_ex_new_index.pod | 6 +-
doc/man3/BIO_parse_hostserv.pod | 6 +-
doc/man3/BIO_read.pod | 4 +-
doc/man3/BIO_s_accept.pod | 4 +-
doc/man3/BIO_s_bio.pod | 6 +-
doc/man3/BIO_s_connect.pod | 4 +-
doc/man3/BIO_s_file.pod | 4 +-
doc/man3/BIO_set_callback.pod | 4 +-
doc/man3/BN_add.pod | 10 +-
doc/man3/BN_bn2bin.pod | 4 +-
doc/man3/BN_generate_prime.pod | 12 +-
doc/man3/BN_mod_mul_montgomery.pod | 4 +-
doc/man3/BN_set_bit.pod | 8 +-
doc/man3/CMS_verify.pod | 6 +-
doc/man3/CRYPTO_THREAD_run_once.pod | 4 +-
doc/man3/CRYPTO_memcmp.pod | 6 +-
doc/man3/DES_random_key.pod | 8 +-
doc/man3/DH_generate_key.pod | 27 +-
doc/man3/DH_get0_pqg.pod | 4 +-
doc/man3/DH_set_method.pod | 6 +-
doc/man3/DSA_set_method.pod | 6 +-
doc/man3/DTLSv1_listen.pod | 18 +-
doc/man3/ECDSA_SIG_new.pod | 6 +-
doc/man3/EC_GROUP_copy.pod | 90 +-
doc/man3/EC_GROUP_new.pod | 102 +-
doc/man3/EC_KEY_new.pod | 12 +-
doc/man3/EC_POINT_new.pod | 24 +-
doc/man3/ENGINE_add.pod | 22 +-
doc/man3/ERR_get_error.pod | 4 +-
doc/man3/ERR_print_errors.pod | 4 +-
doc/man3/ERR_put_error.pod | 6 +-
doc/man3/EVP_DigestInit.pod | 102 +-
doc/man3/EVP_DigestSignInit.pod | 14 +-
doc/man3/EVP_DigestVerifyInit.pod | 8 +-
doc/man3/EVP_EncodeInit.pod | 8 +-
doc/man3/EVP_EncryptInit.pod | 36 +-
doc/man3/EVP_MD_meth_new.pod | 21 +-
doc/man3/EVP_OpenInit.pod | 4 +-
doc/man3/EVP_PKEY_CTX_ctrl.pod | 20 +-
doc/man3/EVP_PKEY_CTX_new.pod | 4 +-
doc/man3/EVP_PKEY_keygen.pod | 4 +-
doc/man3/EVP_PKEY_meth_new.pod | 32 +-
doc/man3/EVP_PKEY_new.pod | 34 +-
doc/man3/EVP_PKEY_size.pod | 80 +
doc/man3/EVP_SealInit.pod | 4 +-
doc/man3/EVP_SignInit.pod | 48 +-
doc/man3/EVP_VerifyInit.pod | 6 +-
doc/man3/EVP_aes.pod | 9 +-
doc/man3/HMAC.pod | 8 +-
doc/man3/OCSP_cert_to_id.pod | 4 +-
doc/man3/OCSP_request_add1_nonce.pod | 6 +-
doc/man3/OCSP_resp_find_status.pod | 6 +-
doc/man3/OCSP_response_status.pod | 4 +-
doc/man3/OCSP_sendreq_new.pod | 41 +-
doc/man3/OPENSSL_LH_COMPFUNC.pod | 6 +-
doc/man3/OPENSSL_config.pod | 4 +-
doc/man3/OPENSSL_ia32cap.pod | 4 +-
doc/man3/OPENSSL_init_crypto.pod | 12 +-
doc/man3/OPENSSL_init_ssl.pod | 6 +-
doc/man3/OPENSSL_malloc.pod | 6 +-
doc/man3/OPENSSL_secure_malloc.pod | 4 +
doc/man3/OSSL_STORE_open.pod | 33 +-
doc/man3/PEM_bytes_read_bio.pod | 4 +-
doc/man3/PEM_read_bio_PrivateKey.pod | 18 +-
doc/man3/PEM_read_bio_ex.pod | 2 +-
doc/man3/PKCS7_verify.pod | 4 +-
doc/man3/RAND_DRBG_new.pod | 4 +-
doc/man3/RAND_DRBG_set_callbacks.pod | 4 +-
doc/man3/RAND_add.pod | 4 +-
doc/man3/RAND_bytes.pod | 26 +-
doc/man3/RAND_load_file.pod | 8 +-
doc/man3/RAND_set_rand_method.pod | 8 +-
doc/man3/RSA_blinding_on.pod | 4 +-
doc/man3/RSA_get0_key.pod | 7 +-
doc/man3/RSA_private_encrypt.pod | 6 +-
doc/man3/RSA_set_method.pod | 4 +-
doc/man3/SHA256_Init.pod | 5 +-
doc/man3/SSL_CONF_cmd.pod | 39 +-
doc/man3/SSL_CTX_dane_enable.pod | 8 +-
doc/man3/SSL_CTX_sess_set_get_cb.pod | 57 +-
doc/man3/SSL_CTX_set_alpn_select_cb.pod | 4 +-
doc/man3/SSL_CTX_set_generate_session_id.pod | 6 +-
doc/man3/SSL_CTX_set_info_callback.pod | 6 +-
doc/man3/SSL_CTX_set_max_cert_list.pod | 4 +-
doc/man3/SSL_CTX_set_mode.pod | 22 +-
doc/man3/SSL_CTX_set_options.pod | 20 +-
doc/man3/SSL_CTX_set_psk_client_callback.pod | 8 +-
doc/man3/SSL_CTX_set_read_ahead.pod | 4 +-
doc/man3/SSL_CTX_set_security_level.pod | 8 +-
doc/man3/SSL_CTX_set_session_cache_mode.pod | 4 +-
doc/man3/SSL_CTX_set_session_id_context.pod | 4 +-
doc/man3/SSL_CTX_set_session_ticket_cb.pod | 6 +-
doc/man3/SSL_CTX_set_split_send_fragment.pod | 4 +-
...L_CTX_set_stateless_cookie_generate_cb.pod | 69 +-
...SSL_CTX_set_tlsext_servername_callback.pod | 122 +-
doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod | 19 +-
doc/man3/SSL_CTX_use_psk_identity_hint.pod | 14 +-
doc/man3/SSL_SESSION_get0_hostname.pod | 7 +-
doc/man3/SSL_accept.pod | 10 +-
doc/man3/SSL_alloc_buffers.pod | 4 +-
doc/man3/SSL_connect.pod | 10 +-
doc/man3/SSL_do_handshake.pod | 10 +-
doc/man3/SSL_get_all_async_fds.pod | 6 +-
doc/man3/SSL_get_error.pod | 22 +-
doc/man3/SSL_load_client_CA_file.pod | 19 +-
doc/man3/SSL_new.pod | 75 +-
doc/man3/SSL_pending.pod | 4 +-
doc/man3/SSL_read.pod | 8 +-
doc/man3/SSL_read_early_data.pod | 19 +-
doc/man3/SSL_set1_host.pod | 6 +-
doc/man3/SSL_set_bio.pod | 6 +-
doc/man3/SSL_set_fd.pod | 6 +-
doc/man3/SSL_set_shutdown.pod | 4 +-
doc/man3/SSL_shutdown.pod | 24 +-
doc/man3/SSL_state_string.pod | 6 +-
doc/man3/SSL_want.pod | 4 +-
doc/man3/SSL_write.pod | 6 +-
doc/man3/UI_UTIL_read_pw.pod | 4 +-
doc/man3/UI_create_method.pod | 4 +-
doc/man3/UI_new.pod | 4 +-
doc/man3/X509V3_get_d2i.pod | 4 +-
doc/man3/X509_ALGOR_dup.pod | 18 +-
doc/man3/X509_LOOKUP.pod | 212 +
doc/man3/X509_LOOKUP_hash_dir.pod | 4 +-
doc/man3/X509_LOOKUP_meth_new.pod | 25 +-
doc/man3/X509_STORE_CTX_get_error.pod | 6 +-
doc/man3/X509_STORE_CTX_new.pod | 10 +-
doc/man3/X509_STORE_CTX_set_verify_cb.pod | 4 +-
doc/man3/X509_STORE_add_cert.pod | 17 +-
doc/man3/X509_STORE_set_verify_cb_func.pod | 4 +-
doc/man3/X509_VERIFY_PARAM_set_flags.pod | 17 +-
doc/man3/X509_check_ca.pod | 4 +-
doc/man3/X509_check_host.pod | 10 +-
doc/man3/X509_check_issued.pod | 19 +-
doc/man3/X509_check_purpose.pod | 74 +
doc/man3/X509_get0_signature.pod | 22 +-
doc/man3/X509_get_extension_flags.pod | 22 +-
doc/man3/X509v3_get_ext_by_NID.pod | 4 +-
doc/man3/d2i_DHparams.pod | 4 +-
doc/man3/d2i_X509.pod | 17 +-
doc/man5/config.pod | 29 +-
doc/man5/x509v3_config.pod | 6 +-
doc/man7/Ed25519.pod | 4 +-
doc/man7/SM2.pod | 4 +-
doc/man7/X25519.pod | 4 +-
doc/man7/evp.pod | 14 +-
doc/man7/ossl_store.pod | 4 +-
doc/man7/passphrase-encoding.pod | 4 +-
doc/man7/proxy-certificates.pod | 363 +
e_os.h | 10 +-
engines/e_afalg.c | 4 +-
engines/e_afalg.h | 4 +-
engines/e_afalg_err.h | 4 +-
engines/e_capi_err.h | 4 +-
engines/e_dasync_err.h | 4 +-
engines/e_ossltest_err.h | 4 +-
fuzz/asn1.c | 3 +-
fuzz/x509.c | 2 +
.../crypto}/__DECC_INCLUDE_EPILOGUE.H | 0
.../crypto}/__DECC_INCLUDE_PROLOGUE.H | 0
.../internal => include/crypto}/aria.h | 4 +-
.../asn1_int.h => include/crypto/asn1.h | 0
.../internal => include/crypto}/async.h | 0
.../internal/bn_int.h => include/crypto/bn.h | 4 +-
.../internal => include/crypto}/bn_conf.h.in | 4 +-
.../internal => include/crypto}/bn_dh.h | 0
.../internal => include/crypto}/bn_srp.h | 0
.../internal => include/crypto}/chacha.h | 4 +-
.../crypto/cryptlib.h | 0
.../internal => include/crypto}/ctype.h | 4 +-
.../internal => include/crypto}/dso_conf.h.in | 6 +-
.../internal/ec_int.h => include/crypto/ec.h | 4 +-
.../internal => include/crypto}/engine.h | 0
.../err_int.h => include/crypto/err.h | 4 +-
.../evp_int.h => include/crypto/evp.h | 0
.../internal => include/crypto}/lhash.h | 4 +-
.../internal => include/crypto}/md32_common.h | 0
.../internal => include/crypto}/objects.h | 0
.../internal => include/crypto}/poly1305.h | 0
.../rand_int.h => include/crypto/rand.h | 4 +-
.../include/internal => include/crypto}/sha.h | 4 +-
.../internal => include/crypto}/siphash.h | 0
.../include/internal => include/crypto}/sm2.h | 4 +-
.../internal => include/crypto}/sm2err.h | 4 +-
.../include/internal => include/crypto}/sm3.h | 4 +-
.../include/internal => include/crypto}/sm4.h | 4 +-
.../store_int.h => include/crypto/store.h | 8 +-
.../x509_int.h => include/crypto/x509.h | 0
include/internal/conf.h | 4 +-
.../{constant_time_locl.h => constant_time.h} | 6 +-
include/internal/cryptlib.h | 4 +-
include/internal/dane.h | 6 +-
include/internal/dso.h | 4 +-
include/internal/dsoerr.h | 4 +-
include/internal/err.h | 4 +-
include/internal/nelem.h | 4 +-
include/internal/numbers.h | 4 +-
include/internal/o_dir.h | 4 +-
include/internal/o_str.h | 4 +-
include/internal/refcount.h | 4 +-
include/internal/sockets.h | 4 +-
include/internal/sslconf.h | 4 +-
include/openssl/__DECC_INCLUDE_EPILOGUE.H | 12 +-
include/openssl/__DECC_INCLUDE_PROLOGUE.H | 14 +-
include/openssl/asn1err.h | 8 +-
include/openssl/bio.h | 3 +-
include/openssl/bn.h | 4 +-
include/openssl/ct.h | 2 -
include/openssl/dsa.h | 6 +
include/openssl/dtls1.h | 2 +-
include/openssl/e_os2.h | 4 +-
include/openssl/ec.h | 4 +-
include/openssl/ecerr.h | 3 +-
include/openssl/evp.h | 30 +-
include/openssl/evperr.h | 8 +-
include/openssl/lhash.h | 7 +-
include/openssl/obj_mac.h | 6 +-
include/openssl/ocsp.h | 2 +-
include/openssl/opensslconf.h.in | 7 +-
include/openssl/opensslv.h | 6 +-
include/openssl/ossl_typ.h | 1 +
include/openssl/pemerr.h | 4 +-
include/openssl/randerr.h | 4 +-
include/openssl/rsa.h | 5 +-
include/openssl/ssl.h | 4 +-
include/openssl/ssl3.h | 5 +-
include/openssl/sslerr.h | 3 +-
include/openssl/x509.h | 7 +-
include/openssl/x509_vfy.h | 6 +-
include/openssl/x509err.h | 7 +-
include/openssl/x509v3.h | 7 +-
ssl/bio_ssl.c | 5 +-
ssl/d1_lib.c | 13 +-
ssl/d1_msg.c | 2 +-
ssl/d1_srtp.c | 2 +-
ssl/methods.c | 2 +-
ssl/packet.c | 2 +-
ssl/{packet_locl.h => packet_local.h} | 6 +-
ssl/pqueue.c | 2 +-
ssl/record/README | 4 +-
ssl/record/dtls1_bitmap.c | 4 +-
ssl/record/rec_layer_d1.c | 15 +-
ssl/record/rec_layer_s3.c | 10 +-
ssl/record/{record_locl.h => record_local.h} | 0
ssl/record/ssl3_buffer.c | 8 +-
ssl/record/ssl3_record.c | 28 +-
ssl/record/ssl3_record_tls13.c | 6 +-
ssl/s3_cbc.c | 4 +-
ssl/s3_enc.c | 2 +-
ssl/s3_lib.c | 27 +-
ssl/s3_msg.c | 2 +-
ssl/ssl_asn1.c | 2 +-
ssl/ssl_cert.c | 30 +-
ssl/ssl_ciph.c | 4 +-
ssl/ssl_conf.c | 11 +-
ssl/ssl_init.c | 2 +-
ssl/ssl_lib.c | 108 +-
ssl/{ssl_locl.h => ssl_local.h} | 11 +-
ssl/ssl_mcnf.c | 2 +-
ssl/ssl_rsa.c | 32 +-
ssl/ssl_sess.c | 8 +-
ssl/ssl_stat.c | 2 +-
ssl/ssl_txt.c | 2 +-
ssl/ssl_utst.c | 2 +-
ssl/statem/README | 2 +-
ssl/statem/extensions.c | 31 +-
ssl/statem/extensions_clnt.c | 4 +-
ssl/statem/extensions_cust.c | 4 +-
ssl/statem/extensions_srvr.c | 33 +-
ssl/statem/statem.c | 4 +-
ssl/statem/statem_clnt.c | 21 +-
ssl/statem/statem_dtls.c | 4 +-
ssl/statem/statem_lib.c | 83 +-
ssl/statem/{statem_locl.h => statem_local.h} | 0
ssl/statem/statem_srvr.c | 93 +-
ssl/t1_enc.c | 4 +-
ssl/t1_lib.c | 175 +-
ssl/t1_trce.c | 30 +-
ssl/tls13_enc.c | 17 +-
ssl/tls_srp.c | 2 +-
test/README | 2 +-
test/asn1_decode_test.c | 38 +-
test/asn1_encode_test.c | 35 +-
test/asn1_internal_test.c | 2 +-
test/asynciotest.c | 2 +-
test/bad_dtls_test.c | 2 +-
test/bioprinttest.c | 3 +-
test/bntest.c | 338 +
test/build.info | 39 +-
test/certs/ca-cert-ec-explicit.pem | 19 +
test/certs/ca-cert-ec-named.pem | 14 +
test/certs/ca-key-ec-explicit.pem | 10 +
test/certs/ca-key-ec-named.pem | 5 +
test/certs/ca-pss-cert.pem | 21 +
test/certs/ca-pss-key.pem | 28 +
test/certs/ee-cert-ec-explicit.pem | 16 +
test/certs/ee-cert-ec-named-explicit.pem | 11 +
test/certs/ee-cert-ec-named-named.pem | 11 +
test/certs/ee-key-ec-explicit.pem | 10 +
test/certs/ee-key-ec-named-explicit.pem | 5 +
test/certs/ee-key-ec-named-named.pem | 5 +
test/certs/ee-pathlen.pem | 17 +
test/certs/ee-pss-cert.pem | 21 +
test/certs/ee-self-signed.pem | 19 +
test/certs/invalid-cert.pem | 19 +
test/certs/mkcert.sh | 24 +-
test/certs/root-ed448-cert.pem | 10 +
test/certs/root-ed448-key.pem | 4 +
test/certs/root-expired.pem | 18 +
test/certs/server-ed448-cert.pem | 21 +-
test/certs/setup.sh | 40 +-
test/chacha_internal_test.c | 2 +-
test/cipher_overhead_test.c | 2 +-
test/clienthellotest.c | 2 +-
test/cmactest.c | 210 +
test/constant_time_test.c | 2 +-
test/ctype_internal_test.c | 2 +-
test/curve448_internal_test.c | 2 +-
test/drbg_cavs_data.h | 4 +-
test/drbg_cavs_test.c | 2 +-
test/drbgtest.c | 85 +-
test/dtls_mtu_test.c | 2 +-
test/dtlstest.c | 4 +-
test/ec_internal_test.c | 105 +-
test/ecdsatest.h | 6 +-
test/ectest.c | 187 +-
test/evp_extra_test.c | 113 +-
test/handshake_helper.c | 7 +-
test/handshake_helper.h | 6 +-
test/hmactest.c | 23 +-
test/modes_internal_test.c | 2 +-
test/ossl_shim/async_bio.h | 6 +-
test/ossl_shim/include/openssl/base.h | 6 +-
test/ossl_shim/packeted_bio.h | 6 +-
test/ossl_shim/test_config.h | 6 +-
test/packettest.c | 2 +-
test/poly1305_internal_test.c | 2 +-
test/recipes/04-test_pem.t | 5 +-
.../cert-254-chars-at-the-end.pem | 6 +
.../cert-254-chars-in-the-middle.pem | 5 +
.../cert-oneline-multiple-of-254.pem | 3 +
test/recipes/05-test_cmac.t | 12 +
test/recipes/10-test_bn.t | 5 +-
test/recipes/10-test_bn_data/bngcd.txt | 17179 ++++++++++++++++
test/recipes/15-test_ec.t | 58 +-
test/recipes/15-test_genec.t | 306 +
test/recipes/20-test_dgst.t | 104 +
test/recipes/25-test_req.t | 142 +-
test/recipes/25-test_verify.t | 39 +-
test/recipes/30-test_evp_data/evpciph.txt | 10 +
test/recipes/70-test_sslsigalgs.t | 123 +-
test/recipes/70-test_verify_extra.t | 5 +-
test/recipes/80-test_x509aux.t | 15 +-
test/rsa_test.c | 131 +-
test/run_tests.pl | 4 +-
test/servername_test.c | 2 +-
test/shlibloadtest.c | 2 +-
test/siphash_internal_test.c | 2 +-
test/sm2_internal_test.c | 23 +-
test/sm4_internal_test.c | 2 +-
test/ssl-tests/20-cert-select.conf | 8 +-
test/ssl-tests/20-cert-select.conf.in | 5 +-
test/ssl-tests/28-seclevel.conf | 110 +-
test/ssl-tests/28-seclevel.conf.in | 35 +-
test/ssl_cert_table_internal_test.c | 2 +-
test/ssl_ctx_test.c | 76 +
test/ssl_test_ctx.h | 6 +-
test/sslapitest.c | 558 +-
test/sslbuffertest.c | 2 +-
test/ssltestlib.h | 6 +-
test/test_test.c | 2 +-
test/tested25519.pem | 3 +
test/tested25519pub.pem | 3 +
test/tested448.pem | 4 +
test/tested448pub.pem | 4 +
test/testutil.h | 6 +-
test/testutil/output.h | 6 +-
test/testutil/{init.c => testutil_init.c} | 0
test/tls13ccstest.c | 2 +-
test/tls13encryptiontest.c | 8 +-
test/tls13secretstest.c | 2 +-
test/v3nametest.c | 346 +-
test/verify_extra_test.c | 55 +-
test/wpackettest.c | 2 +-
test/x509aux.c | 19 +-
util/find-doc-nits | 10 +-
util/fix-includes | 19 +
util/fix-includes.sed | 5 +
util/libcrypto.num | 9 +
util/mkrc.pl | 4 +-
util/perl/OpenSSL/Test.pm | 12 +-
util/perl/TLSProxy/Proxy.pm | 2 +-
util/private.num | 8 +
1220 files changed, 30236 insertions(+), 8209 deletions(-)
create mode 100644 VMS/msg_install.com
create mode 100644 VMS/msg_staging.com
mode change 100644 => 100755 apps/ca.c
rename crypto/aes/{aes_locl.h => aes_local.h} (83%)
rename crypto/asn1/{asn1_locl.h => asn1_local.h} (100%)
rename crypto/async/{async_locl.h => async_local.h} (98%)
rename crypto/bf/{bf_locl.h => bf_local.h} (98%)
rename crypto/bio/{bio_lcl.h => bio_local.h} (97%)
rename crypto/blake2/{blake2_locl.h => blake2_local.h} (100%)
rename crypto/bn/{bn_lcl.h => bn_local.h} (98%)
rename crypto/camellia/{cmll_locl.h => cmll_local.h} (91%)
rename crypto/cast/{cast_lcl.h => cast_local.h} (100%)
rename crypto/cms/{cms_lcl.h => cms_local.h} (99%)
rename crypto/comp/{comp_lcl.h => comp_local.h} (100%)
rename crypto/conf/{conf_lcl.h => conf_local.h} (100%)
rename crypto/ct/{ct_locl.h => ct_local.h} (100%)
rename crypto/des/{des_locl.h => des_local.h} (99%)
rename crypto/dh/{dh_locl.h => dh_local.h} (100%)
rename crypto/dsa/{dsa_locl.h => dsa_local.h} (100%)
rename crypto/dso/{dso_locl.h => dso_local.h} (99%)
delete mode 100755 crypto/ec/asm/ecp_nistz256-avx2.pl
rename crypto/ec/curve448/{curve448_lcl.h => curve448_local.h} (91%)
rename crypto/ec/{ec_lcl.h => ec_local.h} (99%)
rename crypto/engine/{eng_int.h => eng_local.h} (97%)
rename crypto/evp/{evp_locl.h => evp_local.h} (100%)
rename crypto/hmac/{hmac_lcl.h => hmac_local.h} (71%)
rename crypto/idea/{idea_lcl.h => idea_local.h} (100%)
delete mode 100644 crypto/include/internal/store.h
rename crypto/lhash/{lhash_lcl.h => lhash_local.h} (100%)
rename crypto/md4/{md4_locl.h => md4_local.h} (96%)
rename crypto/md5/{md5_locl.h => md5_local.h} (98%)
rename crypto/modes/{modes_lcl.h => modes_local.h} (91%)
rename crypto/objects/{obj_lcl.h => obj_local.h} (100%)
rename crypto/ocsp/{ocsp_lcl.h => ocsp_local.h} (100%)
rename crypto/pkcs12/{p12_lcl.h => p12_local.h} (100%)
rename crypto/rand/{rand_lcl.h => rand_local.h} (94%)
rename crypto/rc2/{rc2_locl.h => rc2_local.h} (100%)
rename crypto/rc4/{rc4_locl.h => rc4_local.h} (86%)
rename crypto/rc5/{rc5_locl.h => rc5_local.h} (100%)
rename crypto/ripemd/{rmd_locl.h => rmd_local.h} (96%)
rename crypto/rsa/{rsa_locl.h => rsa_local.h} (100%)
rename crypto/seed/{seed_locl.h => seed_local.h} (97%)
rename crypto/sha/{sha_locl.h => sha_local.h} (99%)
rename crypto/sm3/{sm3_locl.h => sm3_local.h} (97%)
rename crypto/store/{store_locl.h => store_local.h} (100%)
rename crypto/ts/{ts_lcl.h => ts_local.h} (100%)
rename crypto/ui/{ui_locl.h => ui_local.h} (98%)
rename crypto/whrlpool/{wp_locl.h => wp_local.h} (100%)
rename crypto/x509/{x509_lcl.h => x509_local.h} (96%)
rename crypto/x509v3/{pcy_int.h => pcy_local.h} (100%)
delete mode 100644 doc/HOWTO/proxy_certificates.txt
create mode 100644 doc/man3/EVP_PKEY_size.pod
create mode 100644 doc/man3/X509_LOOKUP.pod
create mode 100644 doc/man3/X509_check_purpose.pod
create mode 100644 doc/man7/proxy-certificates.pod
rename {crypto/include/internal => include/crypto}/__DECC_INCLUDE_EPILOGUE.H (100%)
rename {crypto/include/internal => include/crypto}/__DECC_INCLUDE_PROLOGUE.H (100%)
rename {crypto/include/internal => include/crypto}/aria.h (96%)
rename crypto/include/internal/asn1_int.h => include/crypto/asn1.h (100%)
rename {crypto/include/internal => include/crypto}/async.h (100%)
rename crypto/include/internal/bn_int.h => include/crypto/bn.h (98%)
rename {crypto/include/internal => include/crypto}/bn_conf.h.in (93%)
rename {crypto/include/internal => include/crypto}/bn_dh.h (100%)
rename {crypto/include/internal => include/crypto}/bn_srp.h (100%)
rename {crypto/include/internal => include/crypto}/chacha.h (96%)
rename crypto/include/internal/cryptlib_int.h => include/crypto/cryptlib.h (100%)
rename {crypto/include/internal => include/crypto}/ctype.h (98%)
rename {crypto/include/internal => include/crypto}/dso_conf.h.in (90%)
rename crypto/include/internal/ec_int.h => include/crypto/ec.h (96%)
rename {crypto/include/internal => include/crypto}/engine.h (100%)
rename crypto/include/internal/err_int.h => include/crypto/err.h (90%)
rename crypto/include/internal/evp_int.h => include/crypto/evp.h (100%)
rename {crypto/include/internal => include/crypto}/lhash.h (87%)
rename {crypto/include/internal => include/crypto}/md32_common.h (100%)
rename {crypto/include/internal => include/crypto}/objects.h (100%)
rename {crypto/include/internal => include/crypto}/poly1305.h (100%)
rename crypto/include/internal/rand_int.h => include/crypto/rand.h (98%)
rename {crypto/include/internal => include/crypto}/sha.h (89%)
rename {crypto/include/internal => include/crypto}/siphash.h (100%)
rename {crypto/include/internal => include/crypto}/sm2.h (97%)
rename {crypto/include/internal => include/crypto}/sm2err.h (97%)
rename {crypto/include/internal => include/crypto}/sm3.h (94%)
rename {crypto/include/internal => include/crypto}/sm4.h (94%)
rename crypto/include/internal/store_int.h => include/crypto/store.h (82%)
rename crypto/include/internal/x509_int.h => include/crypto/x509.h (100%)
rename include/internal/{constant_time_locl.h => constant_time.h} (98%)
rename ssl/{packet_locl.h => packet_local.h} (99%)
rename ssl/record/{record_locl.h => record_local.h} (100%)
rename ssl/{ssl_locl.h => ssl_local.h} (99%)
rename ssl/statem/{statem_locl.h => statem_local.h} (100%)
create mode 100644 test/certs/ca-cert-ec-explicit.pem
create mode 100644 test/certs/ca-cert-ec-named.pem
create mode 100644 test/certs/ca-key-ec-explicit.pem
create mode 100644 test/certs/ca-key-ec-named.pem
create mode 100644 test/certs/ca-pss-cert.pem
create mode 100644 test/certs/ca-pss-key.pem
create mode 100644 test/certs/ee-cert-ec-explicit.pem
create mode 100644 test/certs/ee-cert-ec-named-explicit.pem
create mode 100644 test/certs/ee-cert-ec-named-named.pem
create mode 100644 test/certs/ee-key-ec-explicit.pem
create mode 100644 test/certs/ee-key-ec-named-explicit.pem
create mode 100644 test/certs/ee-key-ec-named-named.pem
create mode 100644 test/certs/ee-pathlen.pem
create mode 100644 test/certs/ee-pss-cert.pem
create mode 100644 test/certs/ee-self-signed.pem
create mode 100644 test/certs/invalid-cert.pem
create mode 100644 test/certs/root-ed448-cert.pem
create mode 100644 test/certs/root-ed448-key.pem
create mode 100644 test/certs/root-expired.pem
create mode 100644 test/cmactest.c
create mode 100644 test/recipes/04-test_pem_data/cert-254-chars-at-the-end.pem
create mode 100644 test/recipes/04-test_pem_data/cert-254-chars-in-the-middle.pem
create mode 100644 test/recipes/04-test_pem_data/cert-oneline-multiple-of-254.pem
create mode 100644 test/recipes/05-test_cmac.t
create mode 100644 test/recipes/10-test_bn_data/bngcd.txt
create mode 100644 test/recipes/15-test_genec.t
create mode 100644 test/recipes/20-test_dgst.t
create mode 100644 test/ssl_ctx_test.c
create mode 100644 test/tested25519.pem
create mode 100644 test/tested25519pub.pem
create mode 100644 test/tested448.pem
create mode 100644 test/tested448pub.pem
rename test/testutil/{init.c => testutil_init.c} (100%)
create mode 100755 util/fix-includes
create mode 100644 util/fix-includes.sed
diff --git a/AUTHORS b/AUTHORS
index ac93b2e7..dac46f8b 100644
--- a/AUTHORS
+++ b/AUTHORS
@@ -13,6 +13,8 @@ Ben Kaduk
Bernd Edlinger
Bodo Möller
David Benjamin
+David von Oheimb
+Dmitry Belyavskiy (Дмитрий БелÑвÑкий)
Emilia Käsper
Eric Young
Geoff Thorpe
@@ -22,14 +24,19 @@ Lutz Jänicke
Mark J. Cox
Matt Caswell
Matthias St. Pierre
+Nicola Tuveri
Nils Larsch
+Patrick Steuer
Paul Dale
Paul C. Sutton
+Paul Yang
Ralf S. Engelschall
Rich Salz
Richard Levitte
+Shane Lontis
Stephen Henson
Steve Marquess
Tim Hudson
+Tomáš Mráz
Ulf Möller
Viktor Dukhovni
diff --git a/CHANGES b/CHANGES
index c6ca3439..1ab64b35 100644
--- a/CHANGES
+++ b/CHANGES
@@ -7,6 +7,212 @@
https://github.com/openssl/openssl/commits/ and pick the appropriate
release branch.
+ Changes between 1.1.1i and 1.1.1j [16 Feb 2021]
+
+ *) Fixed the X509_issuer_and_serial_hash() function. It attempts to
+ create a unique hash value based on the issuer and serial number data
+ contained within an X509 certificate. However it was failing to correctly
+ handle any errors that may occur while parsing the issuer field (which might
+ occur if the issuer field is maliciously constructed). This may subsequently
+ result in a NULL pointer deref and a crash leading to a potential denial of
+ service attack.
+ (CVE-2021-23841)
+ [Matt Caswell]
+
+ *) Fixed the RSA_padding_check_SSLv23() function and the RSA_SSLV23_PADDING
+ padding mode to correctly check for rollback attacks. This is considered a
+ bug in OpenSSL 1.1.1 because it does not support SSLv2. In 1.0.2 this is
+ CVE-2021-23839.
+ [Matt Caswell]
+
+ *) Fixed the EVP_CipherUpdate, EVP_EncryptUpdate and EVP_DecryptUpdate
+ functions. Previously they could overflow the output length argument in some
+ cases where the input length is close to the maximum permissable length for
+ an integer on the platform. In such cases the return value from the function
+ call would be 1 (indicating success), but the output length value would be
+ negative. This could cause applications to behave incorrectly or crash.
+ (CVE-2021-23840)
+ [Matt Caswell]
+
+ *) Fixed SRP_Calc_client_key so that it runs in constant time. The previous
+ implementation called BN_mod_exp without setting BN_FLG_CONSTTIME. This
+ could be exploited in a side channel attack to recover the password. Since
+ the attack is local host only this is outside of the current OpenSSL
+ threat model and therefore no CVE is assigned.
+
+ Thanks to Mohammed Sabt and Daniel De Almeida Braga for reporting this
+ issue.
+ [Matt Caswell]
+
+ Changes between 1.1.1h and 1.1.1i [8 Dec 2020]
+
+ *) Fixed NULL pointer deref in the GENERAL_NAME_cmp function
+ This function could crash if both GENERAL_NAMEs contain an EDIPARTYNAME.
+ If an attacker can control both items being compared then this could lead
+ to a possible denial of service attack. OpenSSL itself uses the
+ GENERAL_NAME_cmp function for two purposes:
+ 1) Comparing CRL distribution point names between an available CRL and a
+ CRL distribution point embedded in an X509 certificate
+ 2) When verifying that a timestamp response token signer matches the
+ timestamp authority name (exposed via the API functions
+ TS_RESP_verify_response and TS_RESP_verify_token)
+ (CVE-2020-1971)
+ [Matt Caswell]
+
+ *) Add support for Apple Silicon M1 Macs with the darwin64-arm64-cc target.
+ [Stuart Carnie]
+
+ *) The security callback, which can be customised by application code, supports
+ the security operation SSL_SECOP_TMP_DH. This is defined to take an EVP_PKEY
+ in the "other" parameter. In most places this is what is passed. All these
+ places occur server side. However there was one client side call of this
+ security operation and it passed a DH object instead. This is incorrect
+ according to the definition of SSL_SECOP_TMP_DH, and is inconsistent with all
+ of the other locations. Therefore this client side call has been changed to
+ pass an EVP_PKEY instead.
+ [Matt Caswell]
+
+ *) In 1.1.1h, an expired trusted (root) certificate was not anymore rejected
+ when validating a certificate path. This check is restored in 1.1.1i.
+ [David von Oheimb]
+
+ Changes between 1.1.1g and 1.1.1h [22 Sep 2020]
+
+ *) Certificates with explicit curve parameters are now disallowed in
+ verification chains if the X509_V_FLAG_X509_STRICT flag is used.
+ [Tomas Mraz]
+
+ *) The 'MinProtocol' and 'MaxProtocol' configuration commands now silently
+ ignore TLS protocol version bounds when configuring DTLS-based contexts, and
+ conversely, silently ignore DTLS protocol version bounds when configuring
+ TLS-based contexts. The commands can be repeated to set bounds of both
+ types. The same applies with the corresponding "min_protocol" and
+ "max_protocol" command-line switches, in case some application uses both TLS
+ and DTLS.
+
+ SSL_CTX instances that are created for a fixed protocol version (e.g.
+ TLSv1_server_method()) also silently ignore version bounds. Previously
+ attempts to apply bounds to these protocol versions would result in an
+ error. Now only the "version-flexible" SSL_CTX instances are subject to
+ limits in configuration files in command-line options.
+ [Viktor Dukhovni]
+
+ *) Handshake now fails if Extended Master Secret extension is dropped
+ on renegotiation.
+ [Tomas Mraz]
+
+ *) Accidentally, an expired trusted (root) certificate is not anymore rejected
+ when validating a certificate path.
+ [David von Oheimb]
+
+ *) The Oracle Developer Studio compiler will start reporting deprecated APIs
+
+ Changes between 1.1.1f and 1.1.1g [21 Apr 2020]
+
+ *) Fixed segmentation fault in SSL_check_chain()
+ Server or client applications that call the SSL_check_chain() function
+ during or after a TLS 1.3 handshake may crash due to a NULL pointer
+ dereference as a result of incorrect handling of the
+ "signature_algorithms_cert" TLS extension. The crash occurs if an invalid
+ or unrecognised signature algorithm is received from the peer. This could
+ be exploited by a malicious peer in a Denial of Service attack.
+ (CVE-2020-1967)
+ [Benjamin Kaduk]
+
+ *) Added AES consttime code for no-asm configurations
+ an optional constant time support for AES was added
+ when building openssl for no-asm.
+ Enable with: ./config no-asm -DOPENSSL_AES_CONST_TIME
+ Disable with: ./config no-asm -DOPENSSL_NO_AES_CONST_TIME
+ At this time this feature is by default disabled.
+ It will be enabled by default in 3.0.
+ [Bernd Edlinger]
+
+ Changes between 1.1.1e and 1.1.1f [31 Mar 2020]
+
+ *) Revert the change of EOF detection while reading in libssl to avoid
+ regressions in applications depending on the current way of reporting
+ the EOF. As the existing method is not fully accurate the change to
+ reporting the EOF via SSL_ERROR_SSL is kept on the current development
+ branch and will be present in the 3.0 release.
+ [Tomas Mraz]
+
+ *) Revised BN_generate_prime_ex to not avoid factors 3..17863 in p-1
+ when primes for RSA keys are computed.
+ Since we previously always generated primes == 2 (mod 3) for RSA keys,
+ the 2-prime and 3-prime RSA modules were easy to distinguish, since
+ N = p*q = 1 (mod 3), but N = p*q*r = 2 (mod 3). Therefore fingerprinting
+ 2-prime vs. 3-prime RSA keys was possible by computing N mod 3.
+ This avoids possible fingerprinting of newly generated RSA modules.
+ [Bernd Edlinger]
+
+ Changes between 1.1.1d and 1.1.1e [17 Mar 2020]
+ *) Properly detect EOF while reading in libssl. Previously if we hit an EOF
+ while reading in libssl then we would report an error back to the
+ application (SSL_ERROR_SYSCALL) but errno would be 0. We now add
+ an error to the stack (which means we instead return SSL_ERROR_SSL) and
+ therefore give a hint as to what went wrong.
+ [Matt Caswell]
+
+ *) Check that ed25519 and ed448 are allowed by the security level. Previously
+ signature algorithms not using an MD were not being checked that they were
+ allowed by the security level.
+ [Kurt Roeckx]
+
+ *) Fixed SSL_get_servername() behaviour. The behaviour of SSL_get_servername()
+ was not quite right. The behaviour was not consistent between resumption
+ and normal handshakes, and also not quite consistent with historical
+ behaviour. The behaviour in various scenarios has been clarified and
+ it has been updated to make it match historical behaviour as closely as
+ possible.
+ [Matt Caswell]
+
+ *) [VMS only] The header files that the VMS compilers include automatically,
+ __DECC_INCLUDE_PROLOGUE.H and __DECC_INCLUDE_EPILOGUE.H, use pragmas that
+ the C++ compiler doesn't understand. This is a shortcoming in the
+ compiler, but can be worked around with __cplusplus guards.
+
+ C++ applications that use OpenSSL libraries must be compiled using the
+ qualifier '/NAMES=(AS_IS,SHORTENED)' to be able to use all the OpenSSL
+ functions. Otherwise, only functions with symbols of less than 31
+ characters can be used, as the linker will not be able to successfully
+ resolve symbols with longer names.
+ [Richard Levitte]
+
+ *) Corrected the documentation of the return values from the EVP_DigestSign*
+ set of functions. The documentation mentioned negative values for some
+ errors, but this was never the case, so the mention of negative values
+ was removed.
+
+ Code that followed the documentation and thereby check with something
+ like 'EVP_DigestSignInit(...) <= 0' will continue to work undisturbed.
+ [Richard Levitte]
+
+ *) Fixed an an overflow bug in the x64_64 Montgomery squaring procedure
+ used in exponentiation with 512-bit moduli. No EC algorithms are
+ affected. Analysis suggests that attacks against 2-prime RSA1024,
+ 3-prime RSA1536, and DSA1024 as a result of this defect would be very
+ difficult to perform and are not believed likely. Attacks against DH512
+ are considered just feasible. However, for an attack the target would
+ have to re-use the DH512 private key, which is not recommended anyway.
+ Also applications directly using the low level API BN_mod_exp may be
+ affected if they use BN_FLG_CONSTTIME.
+ (CVE-2019-1551)
+ [Andy Polyakov]
+
+ *) Added a new method to gather entropy on VMS, based on SYS$GET_ENTROPY.
+ The presence of this system service is determined at run-time.
+ [Richard Levitte]
+
+ *) Added newline escaping functionality to a filename when using openssl dgst.
+ This output format is to replicate the output format found in the '*sum'
+ checksum programs. This aims to preserve backward compatibility.
+ [Matt Eaton, Richard Levitte, and Paul Dale]
+
+ *) Print all values for a PKCS#12 attribute with 'openssl pkcs12', not just
+ the first value.
+ [Jon Spillett]
+
Changes between 1.1.1c and 1.1.1d [10 Sep 2019]
*) Fixed a fork protection issue. OpenSSL 1.1.1 introduced a rewritten random
@@ -633,9 +839,9 @@
bytes long. In theory it is permissible in SSLv3 - TLSv1.2 to fragment such
alerts across multiple records (some of which could be empty). In practice
it make no sense to send an empty alert record, or to fragment one. TLSv1.3
- prohibts this altogether and other libraries (BoringSSL, NSS) do not
+ prohibits this altogether and other libraries (BoringSSL, NSS) do not
support this at all. Supporting it adds significant complexity to the
- record layer, and its removal is unlikely to cause inter-operability
+ record layer, and its removal is unlikely to cause interoperability
issues.
[Matt Caswell]
@@ -3652,7 +3858,7 @@
implementations).
[Emilia Käsper, Adam Langley, Bodo Moeller (Google)]
- *) Use type ossl_ssize_t instad of ssize_t which isn't available on
+ *) Use type ossl_ssize_t instead of ssize_t which isn't available on
all platforms. Move ssize_t definition from e_os.h to the public
header file e_os2.h as it now appears in public header file cms.h
[Steve Henson]
@@ -8373,7 +8579,7 @@ des-cbc 3624.96k 5258.21k 5530.91k 5624.30k 5628.26k
*) New OCSP utility. Allows OCSP requests to be generated or
read. The request can be sent to a responder and the output
- parsed, outputed or printed in text form. Not complete yet:
+ parsed, outputted or printed in text form. Not complete yet:
still needs to check the OCSP response validity.
[Steve Henson]
@@ -9368,7 +9574,7 @@ des-cbc 3624.96k 5258.21k 5530.91k 5624.30k 5628.26k
[Andy Polyakov]
*) Modified SSL library such that the verify_callback that has been set
- specificly for an SSL object with SSL_set_verify() is actually being
+ specifically for an SSL object with SSL_set_verify() is actually being
used. Before the change, a verify_callback set with this function was
ignored and the verify_callback() set in the SSL_CTX at the time of
the call was used. New function X509_STORE_CTX_set_verify_cb() introduced
@@ -10485,10 +10691,10 @@ des-cbc 3624.96k 5258.21k 5530.91k 5624.30k 5628.26k
as other interfaces in OpenSSL, like the BIO interface.
NCONF_dump_* dump the internal storage of the configuration file,
which is useful for debugging. All other functions take the same
- arguments as the old CONF_* functions wth the exception of the
+ arguments as the old CONF_* functions with the exception of the
first that must be a `CONF *' instead of a `LHASH *'.
- To make it easer to use the new classes with the old CONF_* functions,
+ To make it easier to use the new classes with the old CONF_* functions,
the function CONF_set_default_method is provided.
[Richard Levitte]
@@ -12331,7 +12537,7 @@ des-cbc 3624.96k 5258.21k 5530.91k 5624.30k 5628.26k
than the old method: it now uses a modified version of Ulf's parser to
read the ANSI prototypes in all header files (thus the old K&R definitions
aren't needed for error creation any more) and do a better job of
- translating function codes into names. The old 'ASN1 error code imbedded
+ translating function codes into names. The old 'ASN1 error code embedded
in a comment' is no longer necessary and it doesn't use .err files which
have now been deleted. Also the error code call doesn't have to appear all
on one line (which resulted in some large lines...).
@@ -12632,7 +12838,7 @@ des-cbc 3624.96k 5258.21k 5530.91k 5624.30k 5628.26k
*) Add a useful kludge to allow package maintainers to specify compiler and
other platforms details on the command line without having to patch the
- Configure script everytime: One now can use ``perl Configure
+ Configure script every time: One now can use ``perl Configure
<id>:<details>'', i.e. platform ids are allowed to have details appended
to them (separated by colons). This is treated as there would be a static
pre-configured entry in Configure's %table under key <id> with value
diff --git a/CONTRIBUTING b/CONTRIBUTING
index 5d717763..83c0dde1 100644
--- a/CONTRIBUTING
+++ b/CONTRIBUTING
@@ -41,8 +41,8 @@ guidelines:
https://www.openssl.org/policies/codingstyle.html) and compile
without warnings. Where gcc or clang is available you should use the
--strict-warnings Configure option. OpenSSL compiles on many varied
- platforms: try to ensure you only use portable features. Clean builds
- via Travis and AppVeyor are required, and they are started automatically
+ platforms: try to ensure you only use portable features. Clean builds via
+ GitHub Actions and AppVeyor are required, and they are started automatically
whenever a PR is created or updated.
5. When at all possible, patches should include tests. These can
@@ -58,7 +58,7 @@ guidelines:
consider adding a note in CHANGES. This could be a summarising
description of the change, and could explain the grander details.
Have a look through existing entries for inspiration.
- Please note that this is NOT simply a copy of git-log oneliners.
+ Please note that this is NOT simply a copy of git-log one-liners.
Also note that security fixes get an entry in CHANGES.
This file helps users get more in depth information of what comes
with a specific release without having to sift through the higher
diff --git a/Configurations/10-main.conf b/Configurations/10-main.conf
index 3c4299d2..8dc3e858 100644
--- a/Configurations/10-main.conf
+++ b/Configurations/10-main.conf
@@ -263,7 +263,7 @@ my %targets = (
# primarily because vendor assembler can't assemble our modules
# with -KPIC flag. As result it, assembly support, was not even
# available as option. But its lack means lack of side-channel
- # resistant code, which is incompatible with security by todays
+ # resistant code, which is incompatible with security by today's
# standards. Fortunately gcc is readily available prepackaged
# option, which we can firmly point at...
#
@@ -434,7 +434,7 @@ my %targets = (
# 32-bit message digests. (For the moment of this writing) HP C
# doesn't seem to "digest" too many local variables (they make "him"
# chew forever:-). For more details look-up MD32_XARRAY comment in
-# crypto/sha/sha_lcl.h.
+# crypto/sha/sha_local.h.
# - originally there were 32-bit hpux-parisc2-* targets. They were
# scrapped, because a) they were not interchangeable with other 32-bit
# targets; b) performance-critical 32-bit assembly modules implement
@@ -663,6 +663,7 @@ my %targets = (
"linux-ppc" => {
inherit_from => [ "linux-generic32", asm("ppc32_asm") ],
perlasm_scheme => "linux32",
+ lib_cppflags => add("-DB_ENDIAN"),
},
"linux-ppc64" => {
inherit_from => [ "linux-generic64", asm("ppc64_asm") ],
@@ -741,7 +742,7 @@ my %targets = (
inherit_from => [ "linux-generic32", asm("mips64_asm") ],
cflags => add("-mabi=n32"),
cxxflags => add("-mabi=n32"),
- bn_ops => "SIXTY_FOUR_BIT RC4_CHAR",
+ bn_ops => "RC4_CHAR",
perlasm_scheme => "n32",
multilib => "32",
},
@@ -1125,7 +1126,7 @@ my %targets = (
CFLAGS => picker(debug => "-O0 -g",
release => "-O"),
cflags => add(threads("-pthread")),
- ex_libs => threads("-pthread"),
+ ex_libs => add(threads("-pthread")),
bn_ops => "BN_LLONG RC4_CHAR",
perlasm_scheme => "aix32",
shared_ldflag => add_before("-shared -static-libgcc"),
@@ -1138,7 +1139,7 @@ my %targets = (
CFLAGS => picker(debug => "-O0 -g",
release => "-O"),
cflags => combine("-maix64", threads("-pthread")),
- ex_libs => threads("-pthread"),
+ ex_libs => add(threads("-pthread")),
bn_ops => "SIXTY_FOUR_BIT_LONG RC4_CHAR",
perlasm_scheme => "aix64",
shared_ldflag => add_before("-shared -static-libgcc"),
@@ -1154,7 +1155,7 @@ my %targets = (
cflags => combine("-q32 -qmaxmem=16384 -qro -qroconst",
threads("-qthreaded")),
cppflags => threads("-D_THREAD_SAFE"),
- ex_libs => threads("-lpthreads"),
+ ex_libs => add(threads("-lpthreads")),
bn_ops => "BN_LLONG RC4_CHAR",
perlasm_scheme => "aix32",
shared_cflag => "-qpic",
@@ -1169,7 +1170,7 @@ my %targets = (
cflags => combine("-q64 -qmaxmem=16384 -qro -qroconst",
threads("-qthreaded")),
cppflags => threads("-D_THREAD_SAFE"),
- ex_libs => threads("-lpthreads"),
+ ex_libs => add(threads("-lpthreads")),
bn_ops => "SIXTY_FOUR_BIT_LONG RC4_CHAR",
perlasm_scheme => "aix64",
dso_scheme => "dlfcn",
@@ -1313,7 +1314,6 @@ my %targets = (
"VC-WIN32" => {
inherit_from => [ "VC-noCE-common", asm("x86_asm"),
sub { $disabled{shared} ? () : "uplink_common" } ],
- CFLAGS => add("/WX"),
AS => sub { vc_win32_info()->{AS} },
ASFLAGS => sub { vc_win32_info()->{ASFLAGS} },
asoutflag => sub { vc_win32_info()->{asoutflag} },
@@ -1366,9 +1366,9 @@ my %targets = (
}
push @ex_libs, '$(PORTSDK_LIBPATH)/portlib.lib'
if (defined(env('PORTSDK_LIBPATH')));
- push @ex_libs, ' /nodefaultlib coredll.lib corelibc.lib'
- if (env('TARGETCPU') eq "X86");
- return @ex_libs;
+ push @ex_libs, '/nodefaultlib coredll.lib corelibc.lib'
+ if (env('TARGETCPU') =~ /^X86|^ARMV4[IT]/);
+ return join(" ", @ex_libs);
}),
},
@@ -1558,6 +1558,14 @@ my %targets = (
bn_ops => "SIXTY_FOUR_BIT_LONG",
perlasm_scheme => "macosx",
},
+ "darwin64-arm64-cc" => {
+ inherit_from => [ "darwin-common", asm("aarch64_asm") ],
+ CFLAGS => add("-Wall"),
+ cflags => add("-arch arm64"),
+ lib_cppflags => add("-DL_ENDIAN"),
+ bn_ops => "SIXTY_FOUR_BIT_LONG",
+ perlasm_scheme => "ios64",
+ },
##### GNU Hurd
"hurd-x86" => {
diff --git a/Configurations/15-android.conf b/Configurations/15-android.conf
index 7b496a45..4616394f 100644
--- a/Configurations/15-android.conf
+++ b/Configurations/15-android.conf
@@ -241,7 +241,7 @@ my %targets = (
},
####################################################################
- # Backward compatible targets, (might) requre $CROSS_SYSROOT
+ # Backward compatible targets, (might) require $CROSS_SYSROOT
#
"android-armeabi" => {
inherit_from => [ "android-arm" ],
diff --git a/Configurations/50-win-onecore.conf b/Configurations/50-win-onecore.conf
index d478f42b..c5952791 100644
--- a/Configurations/50-win-onecore.conf
+++ b/Configurations/50-win-onecore.conf
@@ -4,7 +4,7 @@
# Mobile[?] Windows editions. It's a set up "umbrella" libraries that
# export subset of Win32 API that are common to all Windows 10 devices.
#
-# OneCore Configuration temporarly dedicated for console applications
+# OneCore Configuration temporarily dedicated for console applications
# due to disabled event logging, which is incompatible with one core.
# Error messages are provided via standard error only.
# TODO: extend error handling to use ETW based eventing
diff --git a/Configurations/descrip.mms.tmpl b/Configurations/descrip.mms.tmpl
index 0ccd5f07..04c93222 100644
--- a/Configurations/descrip.mms.tmpl
+++ b/Configurations/descrip.mms.tmpl
@@ -343,6 +343,7 @@ CPPFLAGS_Q={- (my $c = $lib_cppflags.$cppflags2.$cppflags1) =~ s|"|""|g;
#
# #include <openssl/foo.h>
# #include "internal/bar.h"
+# #include "crypto/something.h"
#
# will use the logical names to find the files. Expecting
# DECompHP C to find files in subdirectories of whatever was
@@ -351,11 +352,13 @@ NODEBUG=@
.FIRST :
$(NODEBUG) openssl_inc1 = F$PARSE("[.include.openssl]","A.;",,,"syntax_only") - "A.;"
$(NODEBUG) openssl_inc2 = F$PARSE("{- catdir($config{sourcedir},"[.include.openssl]") -}","A.;",,,"SYNTAX_ONLY") - "A.;"
- $(NODEBUG) internal_inc1 = F$PARSE("[.crypto.include.internal]","A.;",,,"SYNTAX_ONLY") - "A.;"
+ $(NODEBUG) internal_inc1 = F$PARSE("[.include.internal]","A.;",,,"SYNTAX_ONLY") - "A.;"
$(NODEBUG) internal_inc2 = F$PARSE("{- catdir($config{sourcedir},"[.include.internal]") -}","A.;",,,"SYNTAX_ONLY") - "A.;"
- $(NODEBUG) internal_inc3 = F$PARSE("{- catdir($config{sourcedir},"[.crypto.include.internal]") -}","A.;",,,"SYNTAX_ONLY") - "A.;"
+ $(NODEBUG) crypto_inc1 = F$PARSE("[.include.crypto]","A.;",,,"SYNTAX_ONLY") - "A.;"
+ $(NODEBUG) crypto_inc2 = F$PARSE("{- catdir($config{sourcedir},"[.include.crypto]") -}","A.;",,,"SYNTAX_ONLY") - "A.;"
$(NODEBUG) DEFINE openssl 'openssl_inc1','openssl_inc2'
- $(NODEBUG) DEFINE internal 'internal_inc1','internal_inc2','internal_inc3'
+ $(NODEBUG) DEFINE internal 'internal_inc1','internal_inc2'
+ $(NODEBUG) DEFINE crypto 'crypto_inc1','crypto_inc2'
$(NODEBUG) staging_dir = "$(DESTDIR)"
$(NODEBUG) staging_instdir = ""
$(NODEBUG) staging_datadir = ""
@@ -374,8 +377,13 @@ NODEBUG=@
$(NODEBUG) !
$(NODEBUG) ! Installation logical names
$(NODEBUG) !
- $(NODEBUG) installtop = F$PARSE(staging_instdir,"$(INSTALLTOP)","[]A.;",,"SYNTAX_ONLY,NO_CONCEAL") - ".][000000" - "[000000." - "][" - "]A.;" + ".]"
- $(NODEBUG) datatop = F$PARSE(staging_datadir,"$(OPENSSLDIR)","[]A.;",,"SYNTAX_ONLY,NO_CONCEAL") - ".][000000" - "[000000." - "][" - "]A.;" + ".]"
+ $(NODEBUG) ! This also creates a few DCL variables that are used for
+ $(NODEBUG) ! the "install_msg" target.
+ $(NODEBUG) !
+ $(NODEBUG) installroot = F$PARSE(staging_instdir,"$(INSTALLTOP)","[]A.;",,"SYNTAX_ONLY,NO_CONCEAL") - ".][000000" - "[000000." - "][" - "]A.;"
+ $(NODEBUG) installtop = installroot + ".]"
+ $(NODEBUG) dataroot = F$PARSE(staging_datadir,"$(OPENSSLDIR)","[]A.;",,"SYNTAX_ONLY,NO_CONCEAL") - ".][000000" - "[000000." - "][" - "]A.;"
+ $(NODEBUG) datatop = dataroot + ".]"
$(NODEBUG) DEFINE ossl_installroot 'installtop'
$(NODEBUG) DEFINE ossl_dataroot 'datatop'
$(NODEBUG) !
@@ -392,6 +400,7 @@ NODEBUG=@
$(NODEBUG) {- join("\n\t\$(NODEBUG) ", map { "DEASSIGN ".uc($_) } @shlibs) || "!" -}
$(NODEBUG) DEASSIGN ossl_dataroot
$(NODEBUG) DEASSIGN ossl_installroot
+ $(NODEBUG) DEASSIGN crypto
$(NODEBUG) DEASSIGN internal
$(NODEBUG) DEASSIGN openssl
.DEFAULT :
@@ -451,30 +460,19 @@ list-tests :
@ WRITE SYS$OUTPUT "Tests are not supported with your chosen Configure options"
@ ! {- output_on() if !$disabled{tests}; "" -}
-install : install_sw install_ssldirs install_docs
+install : install_sw install_ssldirs install_docs install_msg
+ @ !
+
+install_msg :
@ WRITE SYS$OUTPUT ""
@ WRITE SYS$OUTPUT "######################################################################"
@ WRITE SYS$OUTPUT ""
@ IF "$(DESTDIR)" .EQS. "" THEN -
- PIPE ( WRITE SYS$OUTPUT "Installation complete" ; -
- WRITE SYS$OUTPUT "" ; -
- WRITE SYS$OUTPUT "Run @$(SYSTARTUP)openssl_startup{- $osslver -} to set up logical names" ; -
- WRITE SYS$OUTPUT "then run @$(SYSTARTUP)openssl_utils{- $osslver -} to define commands" ; -
- WRITE SYS$OUTPUT "" )
+ @{- sourcefile("VMS", "msg_install.com") -} "$(SYSTARTUP)" "{- $osslver -}"
@ IF "$(DESTDIR)" .NES. "" THEN -
- PIPE ( WRITE SYS$OUTPUT "Staging installation complete" ; -
- WRITE SYS$OUTPUT "" ; -
- WRITE SYS$OUTPUT "Finish or package in such a way that the contents of the directory tree" ; -
- WRITE SYS$OUTPUT staging_instdir ; -
- WRITE SYS$OUTPUT "ends up in $(INSTALLTOP)," ; -
- WRITE SYS$OUTPUT "and that the contents of the contents of the directory tree" ; -
- WRITE SYS$OUTPUT staging_datadir ; -
- WRITE SYS$OUTPUT "ends up in $(OPENSSLDIR)" ; -
- WRITE SYS$OUTPUT "" ; -
- WRITE SYS$OUTPUT "When in its final destination," ; -
- WRITE SYS$OUTPUT "Run @$(SYSTARTUP)openssl_startup{- $osslver -} to set up logical names" ; -
- WRITE SYS$OUTPUT "then run @$(SYSTARTUP)openssl_utils{- $osslver -} to define commands" ; -
- WRITE SYS$OUTPUT "" )
+ @{- sourcefile("VMS", "msg_staging.com") -} -
+ "''installroot']" "''dataroot']" "$(INSTALLTOP)" "$(OPENSSLDIR)" -
+ "$(SYSTARTUP)" "{- $osslver -}"
check_install :
spawn/nolog @ossl_installroot:[SYSTEST]openssl_ivp{- $osslver -}.com
diff --git a/Configurations/unix-Makefile.tmpl b/Configurations/unix-Makefile.tmpl
index 7db7578a..3a24d551 100644
--- a/Configurations/unix-Makefile.tmpl
+++ b/Configurations/unix-Makefile.tmpl
@@ -516,8 +516,8 @@ libclean:
clean: libclean
$(RM) $(PROGRAMS) $(TESTPROGS) $(ENGINES) $(SCRIPTS)
$(RM) $(GENERATED_MANDATORY) $(GENERATED)
- -$(RM) `find . -name '*{- $depext -}' \! -name '.*' -print`
- -$(RM) `find . -name '*{- $objext -}' \! -name '.*' -print`
+ -$(RM) `find . -name '*{- $depext -}' \! -name '.*' \! -type d -print`
+ -$(RM) `find . -name '*{- $objext -}' \! -name '.*' \! -type d -print`
$(RM) core
$(RM) tags TAGS doc-nits
$(RM) -r test/test-runs
@@ -547,78 +547,78 @@ uninstall_sw: uninstall_runtime uninstall_engines uninstall_dev
install_docs: install_man_docs install_html_docs
uninstall_docs: uninstall_man_docs uninstall_html_docs
- $(RM) -r $(DESTDIR)$(DOCDIR)
+ $(RM) -r "$(DESTDIR)$(DOCDIR)"
install_ssldirs:
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(OPENSSLDIR)/certs
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(OPENSSLDIR)/private
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(OPENSSLDIR)/misc
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(OPENSSLDIR)/certs"
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(OPENSSLDIR)/private"
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(OPENSSLDIR)/misc"
@set -e; for x in dummy $(MISC_SCRIPTS); do \
if [ "$$x" = "dummy" ]; then continue; fi; \
x1=`echo "$$x" | cut -f1 -d:`; \
x2=`echo "$$x" | cut -f2 -d:`; \
fn=`basename $$x1`; \
$(ECHO) "install $$x1 -> $(DESTDIR)$(OPENSSLDIR)/misc/$$fn"; \
- cp $$x1 $(DESTDIR)$(OPENSSLDIR)/misc/$$fn.new; \
- chmod 755 $(DESTDIR)$(OPENSSLDIR)/misc/$$fn.new; \
- mv -f $(DESTDIR)$(OPENSSLDIR)/misc/$$fn.new \
- $(DESTDIR)$(OPENSSLDIR)/misc/$$fn; \
+ cp $$x1 "$(DESTDIR)$(OPENSSLDIR)/misc/$$fn.new"; \
+ chmod 755 "$(DESTDIR)$(OPENSSLDIR)/misc/$$fn.new"; \
+ mv -f "$(DESTDIR)$(OPENSSLDIR)/misc/$$fn.new" \
+ "$(DESTDIR)$(OPENSSLDIR)/misc/$$fn"; \
if [ "$$x1" != "$$x2" ]; then \
ln=`basename "$$x2"`; \
: {- output_off() unless windowsdll(); "" -}; \
$(ECHO) "copy $(DESTDIR)$(OPENSSLDIR)/misc/$$ln -> $(DESTDIR)$(OPENSSLDIR)/misc/$$fn"; \
- cp $(DESTDIR)$(OPENSSLDIR)/misc/$$fn $(DESTDIR)$(OPENSSLDIR)/misc/$$ln; \
+ cp "$(DESTDIR)$(OPENSSLDIR)/misc/$$fn" "$(DESTDIR)$(OPENSSLDIR)/misc/$$ln"; \
: {- output_on() unless windowsdll();
output_off() if windowsdll(); "" -}; \
$(ECHO) "link $(DESTDIR)$(OPENSSLDIR)/misc/$$ln -> $(DESTDIR)$(OPENSSLDIR)/misc/$$fn"; \
- ln -sf $$fn $(DESTDIR)$(OPENSSLDIR)/misc/$$ln; \
+ ln -sf $$fn "$(DESTDIR)$(OPENSSLDIR)/misc/$$ln"; \
: {- output_on() if windowsdll(); "" -}; \
fi; \
done
@$(ECHO) "install $(SRCDIR)/apps/openssl.cnf -> $(DESTDIR)$(OPENSSLDIR)/openssl.cnf.dist"
- @cp $(SRCDIR)/apps/openssl.cnf $(DESTDIR)$(OPENSSLDIR)/openssl.cnf.new
- @chmod 644 $(DESTDIR)$(OPENSSLDIR)/openssl.cnf.new
- @mv -f $(DESTDIR)$(OPENSSLDIR)/openssl.cnf.new $(DESTDIR)$(OPENSSLDIR)/openssl.cnf.dist
+ @cp $(SRCDIR)/apps/openssl.cnf "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf.new"
+ @chmod 644 "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf.new"
+ @mv -f "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf.new" "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf.dist"
@if [ ! -f "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf" ]; then \
$(ECHO) "install $(SRCDIR)/apps/openssl.cnf -> $(DESTDIR)$(OPENSSLDIR)/openssl.cnf"; \
- cp $(SRCDIR)/apps/openssl.cnf $(DESTDIR)$(OPENSSLDIR)/openssl.cnf; \
- chmod 644 $(DESTDIR)$(OPENSSLDIR)/openssl.cnf; \
+ cp $(SRCDIR)/apps/openssl.cnf "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf"; \
+ chmod 644 "$(DESTDIR)$(OPENSSLDIR)/openssl.cnf"; \
fi
@$(ECHO) "install $(SRCDIR)/apps/ct_log_list.cnf -> $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.dist"
- @cp $(SRCDIR)/apps/ct_log_list.cnf $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.new
- @chmod 644 $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.new
- @mv -f $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.new $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.dist
+ @cp $(SRCDIR)/apps/ct_log_list.cnf "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.new"
+ @chmod 644 "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.new"
+ @mv -f "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.new" "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf.dist"
@if [ ! -f "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf" ]; then \
$(ECHO) "install $(SRCDIR)/apps/ct_log_list.cnf -> $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf"; \
- cp $(SRCDIR)/apps/ct_log_list.cnf $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf; \
- chmod 644 $(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf; \
+ cp $(SRCDIR)/apps/ct_log_list.cnf "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf"; \
+ chmod 644 "$(DESTDIR)$(OPENSSLDIR)/ct_log_list.cnf"; \
fi
install_dev: install_runtime_libs
@[ -n "$(INSTALLTOP)" ] || (echo INSTALLTOP should not be empty; exit 1)
@$(ECHO) "*** Installing development files"
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(INSTALLTOP)/include/openssl
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(INSTALLTOP)/include/openssl"
@ : {- output_off() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "" -}
@$(ECHO) "install $(SRCDIR)/ms/applink.c -> $(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c"
- @cp $(SRCDIR)/ms/applink.c $(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c
- @chmod 644 $(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c
+ @cp $(SRCDIR)/ms/applink.c "$(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c"
+ @chmod 644 "$(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c"
@ : {- output_on() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "" -}
@set -e; for i in $(SRCDIR)/include/openssl/*.h \
$(BLDDIR)/include/openssl/*.h; do \
fn=`basename $$i`; \
$(ECHO) "install $$i -> $(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn"; \
- cp $$i $(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn; \
- chmod 644 $(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn; \
+ cp $$i "$(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn"; \
+ chmod 644 "$(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn"; \
done
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(libdir)
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(libdir)"
@set -e; for l in $(INSTALL_LIBS); do \
fn=`basename $$l`; \
$(ECHO) "install $$l -> $(DESTDIR)$(libdir)/$$fn"; \
- cp $$l $(DESTDIR)$(libdir)/$$fn.new; \
- $(RANLIB) $(DESTDIR)$(libdir)/$$fn.new; \
- chmod 644 $(DESTDIR)$(libdir)/$$fn.new; \
- mv -f $(DESTDIR)$(libdir)/$$fn.new \
- $(DESTDIR)$(libdir)/$$fn; \
+ cp $$l "$(DESTDIR)$(libdir)/$$fn.new"; \
+ $(RANLIB) "$(DESTDIR)$(libdir)/$$fn.new"; \
+ chmod 644 "$(DESTDIR)$(libdir)/$$fn.new"; \
+ mv -f "$(DESTDIR)$(libdir)/$$fn.new" \
+ "$(DESTDIR)$(libdir)/$$fn"; \
done
@ : {- output_off() if $disabled{shared}; "" -}
@set -e; for s in $(INSTALL_SHLIB_INFO); do \
@@ -629,61 +629,61 @@ install_dev: install_runtime_libs
: {- output_off(); output_on() unless windowsdll() or sharedaix(); "" -}; \
if [ "$$fn1" != "$$fn2" ]; then \
$(ECHO) "link $(DESTDIR)$(libdir)/$$fn2 -> $(DESTDIR)$(libdir)/$$fn1"; \
- ln -sf $$fn1 $(DESTDIR)$(libdir)/$$fn2; \
+ ln -sf $$fn1 "$(DESTDIR)$(libdir)/$$fn2"; \
fi; \
: {- output_off() unless windowsdll() or sharedaix(); output_on() if windowsdll(); "" -}; \
$(ECHO) "install $$s2 -> $(DESTDIR)$(libdir)/$$fn2"; \
- cp $$s2 $(DESTDIR)$(libdir)/$$fn2.new; \
- chmod 755 $(DESTDIR)$(libdir)/$$fn2.new; \
- mv -f $(DESTDIR)$(libdir)/$$fn2.new \
- $(DESTDIR)$(libdir)/$$fn2; \
+ cp $$s2 "$(DESTDIR)$(libdir)/$$fn2.new"; \
+ chmod 755 "$(DESTDIR)$(libdir)/$$fn2.new"; \
+ mv -f "$(DESTDIR)$(libdir)/$$fn2.new" \
+ "$(DESTDIR)$(libdir)/$$fn2"; \
: {- output_off() if windowsdll(); output_on() if sharedaix(); "" -}; \
- a=$(DESTDIR)$(libdir)/$$fn2; \
+ a="$(DESTDIR)$(libdir)/$$fn2"; \
$(ECHO) "install $$s1 -> $$a"; \
- if [ -f $$a ]; then ( trap "rm -rf /tmp/ar.$$$$" INT 0; \
+ if [ -f "$$a" ]; then ( trap "rm -rf /tmp/ar.$$$$" INT 0; \
mkdir /tmp/ar.$$$$; ( cd /tmp/ar.$$$$; \
- cp -f $$a $$a.new; \
- for so in `$(AR) t $$a`; do \
- $(AR) x $$a $$so; \
- chmod u+w $$so; \
- strip -X32_64 -e $$so; \
- $(AR) r $$a.new $$so; \
+ cp -f "$$a" "$$a.new"; \
+ for so in `$(AR) t "$$a"`; do \
+ $(AR) x "$$a" "$$so"; \
+ chmod u+w "$$so"; \
+ strip -X32_64 -e "$$so"; \
+ $(AR) r "$$a.new" "$$so"; \
done; \
)); fi; \
- $(AR) r $$a.new $$s1; \
- mv -f $$a.new $$a; \
+ $(AR) r "$$a.new" "$$s1"; \
+ mv -f "$$a.new" "$$a"; \
: {- output_off() if sharedaix(); output_on(); "" -}; \
done
@ : {- output_on() if $disabled{shared}; "" -}
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(libdir)/pkgconfig
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(libdir)/pkgconfig"
@$(ECHO) "install libcrypto.pc -> $(DESTDIR)$(libdir)/pkgconfig/libcrypto.pc"
- @cp libcrypto.pc $(DESTDIR)$(libdir)/pkgconfig
- @chmod 644 $(DESTDIR)$(libdir)/pkgconfig/libcrypto.pc
+ @cp libcrypto.pc "$(DESTDIR)$(libdir)/pkgconfig"
+ @chmod 644 "$(DESTDIR)$(libdir)/pkgconfig/libcrypto.pc"
@$(ECHO) "install libssl.pc -> $(DESTDIR)$(libdir)/pkgconfig/libssl.pc"
- @cp libssl.pc $(DESTDIR)$(libdir)/pkgconfig
- @chmod 644 $(DESTDIR)$(libdir)/pkgconfig/libssl.pc
+ @cp libssl.pc "$(DESTDIR)$(libdir)/pkgconfig"
+ @chmod 644 "$(DESTDIR)$(libdir)/pkgconfig/libssl.pc"
@$(ECHO) "install openssl.pc -> $(DESTDIR)$(libdir)/pkgconfig/openssl.pc"
- @cp openssl.pc $(DESTDIR)$(libdir)/pkgconfig
- @chmod 644 $(DESTDIR)$(libdir)/pkgconfig/openssl.pc
+ @cp openssl.pc "$(DESTDIR)$(libdir)/pkgconfig"
+ @chmod 644 "$(DESTDIR)$(libdir)/pkgconfig/openssl.pc"
uninstall_dev: uninstall_runtime_libs
@$(ECHO) "*** Uninstalling development files"
@ : {- output_off() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "" -}
@$(ECHO) "$(RM) $(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c"
- @$(RM) $(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c
+ @$(RM) "$(DESTDIR)$(INSTALLTOP)/include/openssl/applink.c"
@ : {- output_on() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "" -}
@set -e; for i in $(SRCDIR)/include/openssl/*.h \
$(BLDDIR)/include/openssl/*.h; do \
fn=`basename $$i`; \
$(ECHO) "$(RM) $(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn"; \
- $(RM) $(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn; \
+ $(RM) "$(DESTDIR)$(INSTALLTOP)/include/openssl/$$fn"; \
done
- -$(RMDIR) $(DESTDIR)$(INSTALLTOP)/include/openssl
- -$(RMDIR) $(DESTDIR)$(INSTALLTOP)/include
+ -$(RMDIR) "$(DESTDIR)$(INSTALLTOP)/include/openssl"
+ -$(RMDIR) "$(DESTDIR)$(INSTALLTOP)/include"
@set -e; for l in $(INSTALL_LIBS); do \
fn=`basename $$l`; \
$(ECHO) "$(RM) $(DESTDIR)$(libdir)/$$fn"; \
- $(RM) $(DESTDIR)$(libdir)/$$fn; \
+ $(RM) "$(DESTDIR)$(libdir)/$$fn"; \
done
@ : {- output_off() if $disabled{shared}; "" -}
@set -e; for s in $(INSTALL_SHLIB_INFO); do \
@@ -693,35 +693,35 @@ uninstall_dev: uninstall_runtime_libs
fn2=`basename $$s2`; \
: {- output_off() if windowsdll(); "" -}; \
$(ECHO) "$(RM) $(DESTDIR)$(libdir)/$$fn2"; \
- $(RM) $(DESTDIR)$(libdir)/$$fn2; \
+ $(RM) "$(DESTDIR)$(libdir)/$$fn2"; \
if [ "$$fn1" != "$$fn2" -a -f "$(DESTDIR)$(libdir)/$$fn1" ]; then \
$(ECHO) "$(RM) $(DESTDIR)$(libdir)/$$fn1"; \
- $(RM) $(DESTDIR)$(libdir)/$$fn1; \
+ $(RM) "$(DESTDIR)$(libdir)/$$fn1"; \
fi; \
: {- output_on() if windowsdll(); "" -}{- output_off() unless windowsdll(); "" -}; \
$(ECHO) "$(RM) $(DESTDIR)$(libdir)/$$fn2"; \
- $(RM) $(DESTDIR)$(libdir)/$$fn2; \
+ $(RM) "$(DESTDIR)$(libdir)/$$fn2"; \
: {- output_on() unless windowsdll(); "" -}; \
done
@ : {- output_on() if $disabled{shared}; "" -}
- $(RM) $(DESTDIR)$(libdir)/pkgconfig/libcrypto.pc
- $(RM) $(DESTDIR)$(libdir)/pkgconfig/libssl.pc
- $(RM) $(DESTDIR)$(libdir)/pkgconfig/openssl.pc
- -$(RMDIR) $(DESTDIR)$(libdir)/pkgconfig
- -$(RMDIR) $(DESTDIR)$(libdir)
+ $(RM) "$(DESTDIR)$(libdir)/pkgconfig/libcrypto.pc"
+ $(RM) "$(DESTDIR)$(libdir)/pkgconfig/libssl.pc"
+ $(RM) "$(DESTDIR)$(libdir)/pkgconfig/openssl.pc"
+ -$(RMDIR) "$(DESTDIR)$(libdir)/pkgconfig"
+ -$(RMDIR) "$(DESTDIR)$(libdir)"
install_engines: install_runtime_libs build_engines
@[ -n "$(INSTALLTOP)" ] || (echo INSTALLTOP should not be empty; exit 1)
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(ENGINESDIR)/
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(ENGINESDIR)/"
@$(ECHO) "*** Installing engines"
@set -e; for e in dummy $(INSTALL_ENGINES); do \
if [ "$$e" = "dummy" ]; then continue; fi; \
fn=`basename $$e`; \
$(ECHO) "install $$e -> $(DESTDIR)$(ENGINESDIR)/$$fn"; \
- cp $$e $(DESTDIR)$(ENGINESDIR)/$$fn.new; \
- chmod 755 $(DESTDIR)$(ENGINESDIR)/$$fn.new; \
- mv -f $(DESTDIR)$(ENGINESDIR)/$$fn.new \
- $(DESTDIR)$(ENGINESDIR)/$$fn; \
+ cp $$e "$(DESTDIR)$(ENGINESDIR)/$$fn.new"; \
+ chmod 755 "$(DESTDIR)$(ENGINESDIR)/$$fn.new"; \
+ mv -f "$(DESTDIR)$(ENGINESDIR)/$$fn.new" \
+ "$(DESTDIR)$(ENGINESDIR)/$$fn"; \
done
uninstall_engines:
@@ -733,18 +733,18 @@ uninstall_engines:
continue; \
fi; \
$(ECHO) "$(RM) $(DESTDIR)$(ENGINESDIR)/$$fn"; \
- $(RM) $(DESTDIR)$(ENGINESDIR)/$$fn; \
+ $(RM) "$(DESTDIR)$(ENGINESDIR)/$$fn"; \
done
- -$(RMDIR) $(DESTDIR)$(ENGINESDIR)
+ -$(RMDIR) "$(DESTDIR)$(ENGINESDIR)"
install_runtime: install_programs
install_runtime_libs: build_libs
@[ -n "$(INSTALLTOP)" ] || (echo INSTALLTOP should not be empty; exit 1)
@ : {- output_off() if windowsdll(); "" -}
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(libdir)
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(libdir)"
@ : {- output_on() if windowsdll(); output_off() unless windowsdll(); "" -}
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(INSTALLTOP)/bin
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(INSTALLTOP)/bin"
@ : {- output_on() unless windowsdll(); "" -}
@$(ECHO) "*** Installing runtime libraries"
@set -e; for s in dummy $(INSTALL_SHLIBS); do \
@@ -752,40 +752,40 @@ install_runtime_libs: build_libs
fn=`basename $$s`; \
: {- output_off() unless windowsdll(); "" -}; \
$(ECHO) "install $$s -> $(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
- cp $$s $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new; \
- chmod 755 $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new; \
- mv -f $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new \
- $(DESTDIR)$(INSTALLTOP)/bin/$$fn; \
+ cp $$s "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new"; \
+ chmod 755 "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new"; \
+ mv -f "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new" \
+ "$(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
: {- output_on() unless windowsdll(); "" -}{- output_off() if windowsdll(); "" -}; \
$(ECHO) "install $$s -> $(DESTDIR)$(libdir)/$$fn"; \
- cp $$s $(DESTDIR)$(libdir)/$$fn.new; \
- chmod 755 $(DESTDIR)$(libdir)/$$fn.new; \
- mv -f $(DESTDIR)$(libdir)/$$fn.new \
- $(DESTDIR)$(libdir)/$$fn; \
+ cp $$s "$(DESTDIR)$(libdir)/$$fn.new"; \
+ chmod 755 "$(DESTDIR)$(libdir)/$$fn.new"; \
+ mv -f "$(DESTDIR)$(libdir)/$$fn.new" \
+ "$(DESTDIR)$(libdir)/$$fn"; \
: {- output_on() if windowsdll(); "" -}; \
done
install_programs: install_runtime_libs build_programs
@[ -n "$(INSTALLTOP)" ] || (echo INSTALLTOP should not be empty; exit 1)
- @$(PERL) $(SRCDIR)/util/mkdir-p.pl $(DESTDIR)$(INSTALLTOP)/bin
+ @$(PERL) $(SRCDIR)/util/mkdir-p.pl "$(DESTDIR)$(INSTALLTOP)/bin"
@$(ECHO) "*** Installing runtime programs"
@set -e; for x in dummy $(INSTALL_PROGRAMS); do \
if [ "$$x" = "dummy" ]; then continue; fi; \
fn=`basename $$x`; \
$(ECHO) "install $$x -> $(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
- cp $$x $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new; \
- chmod 755 $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new; \
- mv -f $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new \
- $(DESTDIR)$(INSTALLTOP)/bin/$$fn; \
+ cp $$x "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new"; \
+ chmod 755 "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new"; \
+ mv -f "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new" \
+ "$(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
done
@set -e; for x in dummy $(BIN_SCRIPTS); do \
if [ "$$x" = "dummy" ]; then continue; fi; \
fn=`basename $$x`; \
$(ECHO) "install $$x -> $(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
- cp $$x $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new; \
- chmod 755 $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new; \
- mv -f $(DESTDIR)$(INSTALLTOP)/bin/$$fn.new \
- $(DESTDIR)$(INSTALLTOP)/bin/$$fn; \
+ cp $$x "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new"; \
+ chmod 755 "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new"; \
+ mv -f "$(DESTDIR)$(INSTALLTOP)/bin/$$fn.new" \
+ "$(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
done
uninstall_runtime: uninstall_programs uninstall_runtime_libs
@@ -797,16 +797,16 @@ uninstall_programs:
if [ "$$x" = "dummy" ]; then continue; fi; \
fn=`basename $$x`; \
$(ECHO) "$(RM) $(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
- $(RM) $(DESTDIR)$(INSTALLTOP)/bin/$$fn; \
+ $(RM) "$(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
done;
@set -e; for x in dummy $(BIN_SCRIPTS); \
do \
if [ "$$x" = "dummy" ]; then continue; fi; \
fn=`basename $$x`; \
$(ECHO) "$(RM) $(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
- $(RM) $(DESTDIR)$(INSTALLTOP)/bin/$$fn; \
+ $(RM) "$(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
done
- -$(RMDIR) $(DESTDIR)$(INSTALLTOP)/bin
+ -$(RMDIR) "$(DESTDIR)$(INSTALLTOP)/bin"
uninstall_runtime_libs:
@$(ECHO) "*** Uninstalling runtime libraries"
@@ -815,7 +815,7 @@ uninstall_runtime_libs:
if [ "$$s" = "dummy" ]; then continue; fi; \
fn=`basename $$s`; \
$(ECHO) "$(RM) $(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
- $(RM) $(DESTDIR)$(INSTALLTOP)/bin/$$fn; \
+ $(RM) "$(DESTDIR)$(INSTALLTOP)/bin/$$fn"; \
done
@ : {- output_on() unless windowsdll(); "" -}
@@ -824,24 +824,24 @@ install_man_docs:
@[ -n "$(INSTALLTOP)" ] || (echo INSTALLTOP should not be empty; exit 1)
@$(ECHO) "*** Installing manpages"
$(PERL) $(SRCDIR)/util/process_docs.pl \
- --destdir=$(DESTDIR)$(MANDIR) --type=man --suffix=$(MANSUFFIX)
+ "--destdir=$(DESTDIR)$(MANDIR)" --type=man --suffix=$(MANSUFFIX)
uninstall_man_docs:
@$(ECHO) "*** Uninstalling manpages"
$(PERL) $(SRCDIR)/util/process_docs.pl \
- --destdir=$(DESTDIR)$(MANDIR) --type=man --suffix=$(MANSUFFIX) \
+ "--destdir=$(DESTDIR)$(MANDIR)" --type=man --suffix=$(MANSUFFIX) \
--remove
install_html_docs:
@[ -n "$(INSTALLTOP)" ] || (echo INSTALLTOP should not be empty; exit 1)
@$(ECHO) "*** Installing HTML manpages"
$(PERL) $(SRCDIR)/util/process_docs.pl \
- --destdir=$(DESTDIR)$(HTMLDIR) --type=html
+ "--destdir=$(DESTDIR)$(HTMLDIR)" --type=html
uninstall_html_docs:
@$(ECHO) "*** Uninstalling manpages"
$(PERL) $(SRCDIR)/util/process_docs.pl \
- --destdir=$(DESTDIR)$(HTMLDIR) --type=html --remove
+ "--destdir=$(DESTDIR)$(HTMLDIR)" --type=html --remove
# Developer targets (note: these are only available on Unix) #########
diff --git a/Configurations/windows-makefile.tmpl b/Configurations/windows-makefile.tmpl
index 8ef70b86..9351149f 100644
--- a/Configurations/windows-makefile.tmpl
+++ b/Configurations/windows-makefile.tmpl
@@ -211,8 +211,8 @@ CNF_CPPFLAGS={- our $cppfags2 =
join(' ', $target{cppflags} || (),
(map { '-D'.quotify1($_) } @{$target{defines}},
@{$config{defines}}),
- (map { '-I'.quotify1($_) } @{$target{includes}},
- @{$config{includes}}),
+ (map { '-I'.'"'.$_.'"' } @{$target{includes}},
+ @{$config{includes}}),
@{$config{cppflags}}) -}
CNF_CFLAGS={- join(' ', $target{cflags} || (),
@{$config{cflags}}) -}
diff --git a/Configure b/Configure
index 5a699836..b286dd06 100755
--- a/Configure
+++ b/Configure
@@ -1,6 +1,6 @@
#! /usr/bin/env perl
# -*- mode: perl; -*-
-# Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -69,7 +69,15 @@ my $usage="Usage: Configure [no-<cipher> ...] [enable-<cipher> ...] [-Dxxx] [-lx
# no-sse2 disables IA-32 SSE2 code in assembly modules, the above
# mentioned '386' option implies this one
# no-<cipher> build without specified algorithm (rsa, idea, rc5, ...)
-# -<xxx> +<xxx> compiler options are passed through
+# -<xxx> +<xxx> All options which are unknown to the 'Configure' script are
+# /<xxx> passed through to the compiler. Unix-style options beginning
+# with a '-' or '+' are recognized, as well as Windows-style
+# options beginning with a '/'. If the option contains arguments
+# separated by spaces, then the URL-style notation %20 can be
+# used for the space character in order to avoid having to quote
+# the option. For example, -opt%20arg gets expanded to -opt arg.
+# In fact, any ASCII character can be encoded as %xx using its
+# hexadecimal encoding.
# -static while -static is also a pass-through compiler option (and
# as such is limited to environments where it's actually
# meaningful), it triggers a number configuration options,
@@ -152,6 +160,10 @@ my @clang_devteam_warn = qw(
-Wmissing-variable-declarations
);
+my @cl_devteam_warn = qw(
+ /WX
+);
+
# This adds backtrace information to the memory leak info. Is only used
# when crypto-mdebug-backtrace is enabled.
my $memleak_devteam_backtrace = "-rdynamic";
@@ -205,12 +217,22 @@ sub resolve_config;
# Unified build supports separate build dir
my $srcdir = catdir(absolutedir(dirname($0))); # catdir ensures local syntax
my $blddir = catdir(absolutedir(".")); # catdir ensures local syntax
+
+# File::Spec::Unix doesn't detect case insensitivity, so we make sure to
+# check if the source and build directory are really the same, and make
+# them so. This avoids all kinds of confusion later on.
+# We must check @File::Spec::ISA rather than using File::Spec->isa() to
+# know if File::Spec ended up loading File::Spec::Unix.
+$srcdir = $blddir
+ if (grep(/::Unix$/, @File::Spec::ISA)
+ && samedir($srcdir, $blddir));
+
my $dofile = abs2rel(catfile($srcdir, "util/dofile.pl"));
my $local_config_envname = 'OPENSSL_LOCAL_CONFIG_DIR';
-$config{sourcedir} = abs2rel($srcdir);
-$config{builddir} = abs2rel($blddir);
+$config{sourcedir} = abs2rel($srcdir, $blddir);
+$config{builddir} = abs2rel($blddir, $blddir);
# Collect reconfiguration information if needed
my @argvcopy=@ARGV;
@@ -346,6 +368,7 @@ my @disablables = (
"dgram",
"dh",
"dsa",
+ "dso",
"dtls",
"dynamic-engine",
"ec",
@@ -423,7 +446,6 @@ my %deprecated_disablables = (
"buf-freelists" => undef,
"ripemd" => "rmd160",
"ui" => "ui-console",
- "dso" => "", # Empty string means we're silent about it
);
# All of the following are disabled by default:
@@ -480,6 +502,7 @@ my @disable_cascades = (
# Without position independent code, there can be no shared libraries or DSOs
"pic" => [ "shared" ],
"shared" => [ "dynamic-engine" ],
+ "dso" => [ "dynamic-engine" ],
"engine" => [ "afalgeng", "devcryptoeng" ],
# no-autoalginit is only useful when building non-shared
@@ -520,7 +543,7 @@ while ((my $first, my $second) = (shift @list, shift @list)) {
&usage if ($#ARGV < 0);
-# For the "make variables" CINCLUDES and CDEFINES, we support lists with
+# For the "make variables" CPPINCLUDES and CPPDEFINES, we support lists with
# platform specific list separators. Users from those platforms should
# recognise those separators from how you set up the PATH to find executables.
# The default is the Unix like separator, :, but as an exception, we also
@@ -776,7 +799,7 @@ while (@argvcopy)
{
die "FIPS mode not supported\n";
}
- elsif (/^[-+]/)
+ elsif (m|^[-+/]|)
{
if (/^--prefix=(.*)$/)
{
@@ -853,11 +876,11 @@ while (@argvcopy)
{
push @{$useradd{LDFLAGS}}, $_;
}
- elsif (/^-D(.*)$/)
+ elsif (m|^[-/]D(.*)$|)
{
push @{$useradd{CPPDEFINES}}, $1;
}
- elsif (/^-I(.*)$/)
+ elsif (m|^[-/]I(.*)$|)
{
push @{$useradd{CPPINCLUDES}}, $1;
}
@@ -867,11 +890,23 @@ while (@argvcopy)
}
else # common if (/^[-+]/), just pass down...
{
+ # Treat %xx as an ASCII code (e.g. replace %20 by a space character).
+ # This provides a simple way to pass options with arguments separated
+ # by spaces without quoting (e.g. -opt%20arg translates to -opt arg).
$_ =~ s/%([0-9a-f]{1,2})/chr(hex($1))/gei;
push @{$useradd{CFLAGS}}, $_;
push @{$useradd{CXXFLAGS}}, $_;
}
}
+ elsif (m|^/|)
+ {
+ # Treat %xx as an ASCII code (e.g. replace %20 by a space character).
+ # This provides a simple way to pass options with arguments separated
+ # by spaces without quoting (e.g. /opt%20arg translates to /opt arg).
+ $_ =~ s/%([0-9a-f]{1,2})/chr(hex($1))/gei;
+ push @{$useradd{CFLAGS}}, $_;
+ push @{$useradd{CXXFLAGS}}, $_;
+ }
else
{
die "target already defined - $target (offending arg: $_)\n" if ($target ne "");
@@ -949,7 +984,11 @@ foreach (keys %user) {
if (defined $value) {
if (ref $user{$_} eq 'ARRAY') {
- $user{$_} = [ split /$list_separator_re/, $value ];
+ if ($_ eq 'CPPDEFINES' || $_ eq 'CPPINCLUDES') {
+ $user{$_} = [ split /$list_separator_re/, $value ];
+ } else {
+ $user{$_} = [ $value ];
+ }
} elsif (!defined $user{$_}) {
$user{$_} = $value;
}
@@ -1020,6 +1059,9 @@ if (scalar(@seed_sources) == 0) {
print "Using os-specific seed configuration\n";
push @seed_sources, 'os';
}
+if (scalar(grep { $_ eq 'egd' } @seed_sources) > 0) {
+ delete $disabled{'egd'};
+}
if (scalar(grep { $_ eq 'none' } @seed_sources) > 0) {
die "Cannot seed with none and anything else" if scalar(@seed_sources) > 1;
warn <<_____ if scalar(@seed_sources) == 1;
@@ -1159,46 +1201,13 @@ foreach (keys %useradd) {
# At this point, we can forget everything about %user and %useradd,
# because it's now all been merged into the corresponding $config entry
+if (grep { $_ eq '-static' } @{$config{LDFLAGS}}) {
+ disable('static', 'pic', 'threads');
+}
+
# Allow overriding the build file name
$config{build_file} = env('BUILDFILE') || $target{build_file} || "Makefile";
-my %disabled_info = (); # For configdata.pm
-foreach my $what (sort keys %disabled) {
- $config{options} .= " no-$what";
-
- if (!grep { $what eq $_ } ( 'buildtest-c++', 'threads', 'shared', 'pic',
- 'dynamic-engine', 'makedepend',
- 'zlib-dynamic', 'zlib', 'sse2' )) {
- (my $WHAT = uc $what) =~ s|-|_|g;
-
- # Fix up C macro end names
- $WHAT = "RMD160" if $what eq "ripemd";
-
- # fix-up crypto/directory name(s)
- $what = "ripemd" if $what eq "rmd160";
- $what = "whrlpool" if $what eq "whirlpool";
-
- my $macro = $disabled_info{$what}->{macro} = "OPENSSL_NO_$WHAT";
-
- if ((grep { $what eq $_ } @{$config{sdirs}})
- && $what ne 'async' && $what ne 'err') {
- @{$config{sdirs}} = grep { $what ne $_} @{$config{sdirs}};
- $disabled_info{$what}->{skipped} = [ catdir('crypto', $what) ];
-
- if ($what ne 'engine') {
- push @{$config{openssl_algorithm_defines}}, $macro;
- } else {
- @{$config{dirs}} = grep !/^engines$/, @{$config{dirs}};
- push @{$disabled_info{engine}->{skipped}}, catdir('engines');
- push @{$config{openssl_other_defines}}, $macro;
- }
- } else {
- push @{$config{openssl_other_defines}}, $macro;
- }
-
- }
-}
-
# Make sure build_scheme is consistent.
$target{build_scheme} = [ $target{build_scheme} ]
if ref($target{build_scheme}) ne "ARRAY";
@@ -1288,10 +1297,8 @@ if ($target{shared_target} eq "")
}
if ($disabled{"dynamic-engine"}) {
- push @{$config{openssl_other_defines}}, "OPENSSL_NO_DYNAMIC_ENGINE";
$config{dynamic_engines} = 0;
} else {
- push @{$config{openssl_other_defines}}, "OPENSSL_NO_STATIC_ENGINE";
$config{dynamic_engines} = 1;
}
@@ -1375,6 +1382,7 @@ unless ($disabled{asm}) {
}
if ($target{aes_asm_src}) {
push @{$config{lib_defines}}, "AES_ASM" if ($target{aes_asm_src} =~ m/\baes-/);;
+ push @{$config{lib_defines}}, "AESNI_ASM" if ($target{aes_asm_src} =~ m/\baesni-/);;
# aes-ctr.fake is not a real file, only indication that assembler
# module implements AES_ctr32_encrypt...
push @{$config{lib_defines}}, "AES_CTR_ASM" if ($target{aes_asm_src} =~ s/\s*aes-ctr\.fake//);
@@ -1501,17 +1509,22 @@ if ($strict_warnings)
my $wopt;
my $gccver = $predefined_C{__GNUC__} // -1;
- warn "WARNING --strict-warnings requires gcc[>=4] or gcc-alike"
- unless $gccver >= 4;
- push @strict_warnings_collection, @gcc_devteam_warn;
- push @strict_warnings_collection, @clang_devteam_warn
- if (defined($predefined_C{__clang__}));
+ if ($gccver >= 4)
+ {
+ push @strict_warnings_collection, @gcc_devteam_warn;
+ push @strict_warnings_collection, @clang_devteam_warn
+ if (defined($predefined_C{__clang__}));
+ }
+ elsif ($config{target} =~ /^VC-/)
+ {
+ push @strict_warnings_collection, @cl_devteam_warn;
+ }
+ else
+ {
+ warn "WARNING --strict-warnings requires gcc[>=4] or gcc-alike, or MSVC"
+ }
}
-if (grep { $_ eq '-static' } @{$config{LDFLAGS}}) {
- disable('static', 'pic', 'threads');
-}
-
$config{CFLAGS} = [ map { $_ eq '--ossl-strict-warnings'
? @strict_warnings_collection
: ( $_ ) }
@@ -1552,7 +1565,20 @@ unless ($disabled{afalgeng}) {
}
}
-push @{$config{openssl_other_defines}}, "OPENSSL_NO_AFALGENG" if ($disabled{afalgeng});
+unless ($disabled{devcryptoeng}) {
+ if ($target =~ m/^BSD/) {
+ my $maxver = 5*100 + 7;
+ my $sysstr = `uname -s`;
+ my $verstr = `uname -r`;
+ $sysstr =~ s|\R$||;
+ $verstr =~ s|\R$||;
+ my ($ma, $mi, @rest) = split m|\.|, $verstr;
+ my $ver = $ma*100 + $mi;
+ if ($sysstr eq 'OpenBSD' && $ver >= $maxver) {
+ disable('too-new-kernel', 'devcryptoeng');
+ }
+ }
+}
# Get the extra flags used when building shared libraries and modules. We
# do this late because some of them depend on %disabled.
@@ -1597,6 +1623,49 @@ $target{module_ldflags} = $target{shared_ldflag} unless defined $target{module_l
# ALL MODIFICATIONS TO %disabled, %config and %target MUST BE DONE FROM HERE ON
+my %disabled_info = (); # For configdata.pm
+foreach my $what (sort keys %disabled) {
+ $config{options} .= " no-$what";
+
+ if (!grep { $what eq $_ } ( 'buildtest-c++', 'threads', 'shared', 'pic',
+ 'dynamic-engine', 'makedepend',
+ 'zlib-dynamic', 'zlib', 'sse2' )) {
+ (my $WHAT = uc $what) =~ s|-|_|g;
+
+ # Fix up C macro end names
+ $WHAT = "RMD160" if $what eq "ripemd";
+
+ # fix-up crypto/directory name(s)
+ $what = "ripemd" if $what eq "rmd160";
+ $what = "whrlpool" if $what eq "whirlpool";
+
+ my $macro = $disabled_info{$what}->{macro} = "OPENSSL_NO_$WHAT";
+
+ if ((grep { $what eq $_ } @{$config{sdirs}})
+ && $what ne 'async' && $what ne 'err' && $what ne 'dso') {
+ @{$config{sdirs}} = grep { $what ne $_} @{$config{sdirs}};
+ $disabled_info{$what}->{skipped} = [ catdir('crypto', $what) ];
+
+ if ($what ne 'engine') {
+ push @{$config{openssl_algorithm_defines}}, $macro;
+ } else {
+ @{$config{dirs}} = grep !/^engines$/, @{$config{dirs}};
+ push @{$disabled_info{engine}->{skipped}}, catdir('engines');
+ push @{$config{openssl_other_defines}}, $macro;
+ }
+ } else {
+ push @{$config{openssl_other_defines}}, $macro;
+ }
+
+ }
+}
+
+if ($disabled{"dynamic-engine"}) {
+ push @{$config{openssl_other_defines}}, "OPENSSL_NO_DYNAMIC_ENGINE";
+} else {
+ push @{$config{openssl_other_defines}}, "OPENSSL_NO_STATIC_ENGINE";
+}
+
# If we use the unified build, collect information from build.info files
my %unified_info = ();
@@ -2542,19 +2611,22 @@ _____
}
print "\nEnabled features:\n\n";
foreach my $what (@disablables) {
- print " $what\n" unless $disabled{$what};
+ print " $what\n"
+ unless grep { $_ =~ /^${what}$/ } keys %disabled;
}
print "\nDisabled features:\n\n";
foreach my $what (@disablables) {
- if ($disabled{$what}) {
- print " $what", ' ' x ($longest - length($what) + 1),
- "[$disabled{$what}]", ' ' x ($longest2 - length($disabled{$what}) + 1);
- print $disabled_info{$what}->{macro}
- if $disabled_info{$what}->{macro};
+ my @what2 = grep { $_ =~ /^${what}$/ } keys %disabled;
+ my $what3 = $what2[0];
+ if ($what3) {
+ print " $what3", ' ' x ($longest - length($what3) + 1),
+ "[$disabled{$what3}]", ' ' x ($longest2 - length($disabled{$what3}) + 1);
+ print $disabled_info{$what3}->{macro}
+ if $disabled_info{$what3}->{macro};
print ' (skip ',
- join(', ', @{$disabled_info{$what}->{skipped}}),
+ join(', ', @{$disabled_info{$what3}->{skipped}}),
')'
- if $disabled_info{$what}->{skipped};
+ if $disabled_info{$what3}->{skipped};
print "\n";
}
}
@@ -3368,6 +3440,27 @@ sub absolutedir {
return realpath($dir);
}
+# Check if all paths are one and the same, using stat. They must both exist
+# We need this for the cases when File::Spec doesn't detect case insensitivity
+# (File::Spec::Unix assumes case sensitivity)
+sub samedir {
+ die "samedir expects two arguments\n" unless scalar @_ == 2;
+
+ my @stat0 = stat($_[0]); # First argument
+ my @stat1 = stat($_[1]); # Second argument
+
+ die "Couldn't stat $_[0]" unless @stat0;
+ die "Couldn't stat $_[1]" unless @stat1;
+
+ # Compare device number
+ return 0 unless ($stat0[0] == $stat1[0]);
+ # Compare "inode". The perl manual recommends comparing as
+ # string rather than as number.
+ return 0 unless ($stat0[1] eq $stat1[1]);
+
+ return 1; # All the same
+}
+
sub quotify {
my %processors = (
perl => sub { my $x = shift;
diff --git a/INSTALL b/INSTALL
index 2119cbae..f3ac7271 100644
--- a/INSTALL
+++ b/INSTALL
@@ -106,8 +106,7 @@
This will build and install OpenSSL in the default location, which is:
Unix: normal installation directories under /usr/local
- OpenVMS: SYS$COMMON:[OPENSSL-'version'...], where 'version' is the
- OpenSSL version number with underscores instead of periods.
+ OpenVMS: SYS$COMMON:[OPENSSL]
Windows: C:\Program Files\OpenSSL or C:\Program Files (x86)\OpenSSL
The installation directory should be appropriately protected to ensure
@@ -116,7 +115,9 @@
your Operating System it is recommended that you do not overwrite the system
version and instead install to somewhere else.
- If you want to install it anywhere else, run config like this:
+ If you want to install it anywhere else, run config like this (the options
+ --prefix and --openssldir are explained further down, and the values shown
+ here are mere examples):
On Unix:
@@ -198,7 +199,7 @@
Unix: /usr/local
Windows: C:\Program Files\OpenSSL
or C:\Program Files (x86)\OpenSSL
- OpenVMS: SYS$COMMON:[OPENSSL-'version']
+ OpenVMS: SYS$COMMON:[OPENSSL]
--release
Build OpenSSL without debugging symbols. This is the default.
@@ -351,6 +352,9 @@
Don't build support for datagram based BIOs. Selecting this
option will also force the disabling of DTLS.
+ no-dso
+ Don't build support for loading Dynamic Shared Objects.
+
enable-devcryptoeng
Build the /dev/crypto engine. It is automatically selected
on BSD implementations, in which case it can be disabled with
@@ -532,9 +536,9 @@
conjunction with the "-DPEDANTIC" option (or the
--strict-warnings option).
- no-ui
- Don't build with the "UI" capability (i.e. the set of
- features enabling text based prompts).
+ no-ui-console
+ Don't build with the "UI" console method (i.e. the "UI"
+ method that enables text based console prompts).
enable-unit-test
Enable additional unit test APIs. This should not typically
@@ -605,10 +609,19 @@
Take note of the VAR=value documentation below and how
these flags interact with those variables.
- -xxx, +xxx
+ -xxx, +xxx, /xxx
Additional options that are not otherwise recognised are
- passed through as they are to the compiler as well. Again,
- consult your compiler documentation.
+ passed through as they are to the compiler as well.
+ Unix-style options beginning with a '-' or '+' and
+ Windows-style options beginning with a '/' are recognized.
+ Again, consult your compiler documentation.
+
+ If the option contains arguments separated by spaces,
+ then the URL-style notation %20 can be used for the space
+ character in order to avoid having to quote the option.
+ For example, -opt%20arg gets expanded to -opt arg.
+ In fact, any ASCII character can be encoded as %xx using its
+ hexadecimal encoding.
Take note of the VAR=value documentation below and how
these flags interact with those variables.
@@ -949,9 +962,9 @@
share/doc/openssl/html/man7
Contains the HTML rendition of the man-pages.
- OpenVMS ('arch' is replaced with the architecture name, "Alpha"
- or "ia64", 'sover' is replaced with the shared library version
- (0101 for 1.1), and 'pz' is replaced with the pointer size
+ OpenVMS ('arch' is replaced with the architecture name, "ALPHA"
+ or "IA64", 'sover' is replaced with the shared library version
+ (0101 for 1.1.x), and 'pz' is replaced with the pointer size
OpenSSL was built with):
[.EXE.'arch'] Contains the openssl binary.
@@ -1071,7 +1084,7 @@
HASHBANGPERL
The command string for the Perl executable to insert in the
- #! line of perl scripts that will be publically installed.
+ #! line of perl scripts that will be publicly installed.
Default: /usr/bin/env perl
Note: the value of this variable is added to the same scripts
on all platforms, but it's only relevant on Unix-like platforms.
diff --git a/NEWS b/NEWS
index 1c88dee3..3cce5250 100644
--- a/NEWS
+++ b/NEWS
@@ -5,6 +5,43 @@
This file gives a brief overview of the major changes between each OpenSSL
release. For more details please read the CHANGES file.
+ Major changes between OpenSSL 1.1.1i and OpenSSL 1.1.1j [16 Feb 2021]
+
+ o Fixed a NULL pointer deref in the X509_issuer_and_serial_hash()
+ function (CVE-2021-23841)
+ o Fixed the RSA_padding_check_SSLv23() function and the RSA_SSLV23_PADDING
+ padding mode to correctly check for rollback attacks
+ o Fixed an overflow in the EVP_CipherUpdate, EVP_EncryptUpdate and
+ EVP_DecryptUpdate functions (CVE-2021-23840)
+ o Fixed SRP_Calc_client_key so that it runs in constant time
+
+ Major changes between OpenSSL 1.1.1h and OpenSSL 1.1.1i [8 Dec 2020]
+
+ o Fixed NULL pointer deref in GENERAL_NAME_cmp (CVE-2020-1971)
+
+ Major changes between OpenSSL 1.1.1g and OpenSSL 1.1.1h [22 Sep 2020]
+
+ o Disallow explicit curve parameters in verifications chains when
+ X509_V_FLAG_X509_STRICT is used
+ o Enable 'MinProtocol' and 'MaxProtocol' to configure both TLS and DTLS
+ contexts
+ o Oracle Developer Studio will start reporting deprecation warnings
+
+ Major changes between OpenSSL 1.1.1f and OpenSSL 1.1.1g [21 Apr 2020]
+
+ o Fixed segmentation fault in SSL_check_chain() (CVE-2020-1967)
+
+ Major changes between OpenSSL 1.1.1e and OpenSSL 1.1.1f [31 Mar 2020]
+
+ o Revert the unexpected EOF reporting via SSL_ERROR_SSL
+
+ Major changes between OpenSSL 1.1.1d and OpenSSL 1.1.1e [17 Mar 2020]
+
+ o Fixed an overflow bug in the x64_64 Montgomery squaring procedure
+ used in exponentiation with 512-bit moduli (CVE-2019-1551)
+ o Properly detect unexpected EOF while reading in libssl and report
+ it via SSL_ERROR_SSL
+
Major changes between OpenSSL 1.1.1c and OpenSSL 1.1.1d [10 Sep 2019]
o Fixed a fork protection issue (CVE-2019-1549)
diff --git a/NOTES.ANDROID b/NOTES.ANDROID
index 86459778..293ad432 100644
--- a/NOTES.ANDROID
+++ b/NOTES.ANDROID
@@ -6,8 +6,8 @@
-------------------
Beside basic tools like perl and make you'll need to download the Android
- NDK. It's available for Linux, Mac OS X and Windows, but only Linux
- version was actually tested. There is no reason to believe that Mac OS X
+ NDK. It's available for Linux, macOS and Windows, but only Linux
+ version was actually tested. There is no reason to believe that macOS
wouldn't work. And as for Windows, it's unclear which "shell" would be
suitable, MSYS2 might have best chances. NDK version should play lesser
role, the goal is to support a range of most recent versions.
@@ -15,22 +15,33 @@
Configuration
-------------
- Android is naturally cross-compiled target and you can't use ./config.
+ Android is a naturally cross-compiled target and you can't use ./config.
You have to use ./Configure and name your target explicitly; there are
android-arm, android-arm64, android-mips, android-mip64, android-x86
- and android-x86_64. Do not pass --cross-compile-prefix (as you might
- be tempted), as it will be "calculated" automatically based on chosen
- platform. Though you still need to know the prefix to extend your PATH,
- in order to invoke $(CROSS_COMPILE)gcc and company. (Configure will fail
- and give you a hint if you get it wrong.) Apart from PATH adjustment
- you need to set ANDROID_NDK_HOME environment to point at NDK directory
- as /some/where/android-ndk-<ver>. Both variables are significant at both
- configuration and compilation times. NDK customarily supports multiple
- Android API levels, e.g. android-14, android-21, etc. By default latest
- one available is chosen. If you need to target older platform, pass
- additional -D__ANDROID_API__=N to Configure. N is numeric value of the
- target platform version. For example, to compile for ICS on ARM with
- NDK 10d:
+ and android-x86_64 (*MIPS targets are no longer supported with NDK R20+).
+ Do not pass --cross-compile-prefix (as you might be tempted), as it will
+ be "calculated" automatically based on chosen platform. Though you still
+ need to know the prefix to extend your PATH, in order to invoke
+ $(CROSS_COMPILE)clang [*gcc on NDK 19 and lower] and company. (Configure
+ will fail and give you a hint if you get it wrong.) Apart from PATH
+ adjustment you need to set ANDROID_NDK_HOME environment to point at the
+ NDK directory. If you're using a side-by-side NDK the path will look
+ something like /some/where/android-sdk/ndk/<ver>, and for a standalone
+ NDK the path will be something like /some/where/android-ndk-<ver>.
+ Both variables are significant at both configuration and compilation times.
+ The NDK customarily supports multiple Android API levels, e.g. android-14,
+ android-21, etc. By default latest API level is chosen. If you need to
+ target an older platform pass the argument -D__ANDROID_API__=N to Configure,
+ with N being the numerical value of the target platform version. For example,
+ to compile for Android 10 arm64 with a side-by-side NDK r20.0.5594570
+
+ export ANDROID_NDK_HOME=/home/whoever/Android/android-sdk/ndk/20.0.5594570
+ PATH=$ANDROID_NDK_HOME/toolchains/llvm/prebuilt/linux-x86_64/bin:$ANDROID_NDK_HOME/toolchains/arm-linux-androideabi-4.9/prebuilt/linux-x86_64/bin:$PATH
+ ./Configure android-arm64 -D__ANDROID_API__=29
+ make
+
+ Older versions of the NDK have GCC under their common prebuilt tools directory, so the bin path
+ will be slightly different. EG: to compile for ICS on ARM with NDK 10d:
export ANDROID_NDK_HOME=/some/where/android-ndk-10d
PATH=$ANDROID_NDK_HOME/toolchains/arm-linux-androideabi-4.8/prebuilt/linux-x86_64/bin:$PATH
diff --git a/NOTES.PERL b/NOTES.PERL
index 42c61277..201b1438 100644
--- a/NOTES.PERL
+++ b/NOTES.PERL
@@ -109,7 +109,7 @@
$ cpan -f -i Text::Template
- Note: on VMS, you must quote any argument that contains upper case
+ Note: on VMS, you must quote any argument that contains uppercase
characters, so the lines above would be:
$ cpan -i "Text::Template"
diff --git a/NOTES.VMS b/NOTES.VMS
index d6a336ff..bb226da3 100644
--- a/NOTES.VMS
+++ b/NOTES.VMS
@@ -18,7 +18,7 @@
An ANSI C compiled is needed among other things. This means that
VAX C is not and will not be supported.
- We have only tested with DEC C (a.k.a HP VMS C / VSI C) and require
+ We have only tested with DEC C (aka HP VMS C / VSI C) and require
version 7.1 or later. Compiling with a different ANSI C compiler may
require some work.
@@ -90,9 +90,9 @@
Unix mount point.
The easiest way to check if everything got through as it should is to
- check for one of the following files:
+ check that this file exists:
- [.crypto]opensslconf^.h.in
+ [.include.openssl]opensslconf^.h.in
The best way to get a correct distribution is to download the gzipped
tar file from ftp://ftp.openssl.org/source/, use GZIP -d to uncompress
@@ -105,3 +105,11 @@
Should you need it, you can find UnZip for VMS here:
http://www.info-zip.org/UnZip.html
+
+
+ How the value of 'arch' is determined
+ -------------------------------------
+
+ 'arch' is mentioned in INSTALL. It's value is determined like this:
+
+ arch = f$edit( f$getsyi( "arch_name"), "upcase")
diff --git a/NOTES.WIN b/NOTES.WIN
index b1cb542d..66a6a453 100644
--- a/NOTES.WIN
+++ b/NOTES.WIN
@@ -12,11 +12,11 @@
and require --cross-compile-prefix option. While on MSYS[2] it's solved
rather by placing gcc that produces "MinGW binary" code 1st on $PATH.
This is customarily source of confusion. "Hosted" applications "live" in
- emulated file system name space with POSIX-y root, mount points, /dev
+ emulated filesystem name space with POSIX-y root, mount points, /dev
and even /proc. Confusion is intensified by the fact that MSYS2 shell
(or rather emulated execve(2) call) examines the binary it's about to
start, and if it's found *not* to be linked with MSYS2 POSIX-y thing,
- command line arguments that look like file names get translated from
+ command line arguments that look like filenames get translated from
emulated name space to "native". For example '/c/some/where' becomes
'c:\some\where', '/dev/null' - 'nul'. This creates an illusion that
there is no difference between MSYS2 shell and "MinGW binary", but
@@ -26,7 +26,7 @@
it's referred to in quotes here, as "MinGW binary", it's just as
"native" as it can get.)
- Visual C++ builds, a.k.a. VC-*
+ Visual C++ builds, aka VC-*
==============================
Requirement details
@@ -47,7 +47,7 @@
the other hand oldest one is known not to work. Everything between
falls into best-effort category.
- - Netwide Assembler, a.k.a. NASM, available from https://www.nasm.us,
+ - Netwide Assembler, aka NASM, available from https://www.nasm.us,
is required. Note that NASM is the only supported assembler. Even
though Microsoft provided assembler is NOT supported, contemporary
64-bit version is exercised through continuous integration of
@@ -62,8 +62,8 @@
For VC-WIN32, the following defaults are use:
- PREFIX: %ProgramFiles(86)%\OpenSSL
- OPENSSLDIR: %CommonProgramFiles(86)%\SSL
+ PREFIX: %ProgramFiles(x86)%\OpenSSL
+ OPENSSLDIR: %CommonProgramFiles(x86)%\SSL
For VC-WIN64, the following defaults are use:
@@ -132,7 +132,7 @@
If you link with static OpenSSL libraries then you're expected to
additionally link your application with WS2_32.LIB, GDI32.LIB,
ADVAPI32.LIB, CRYPT32.LIB and USER32.LIB. Those developing
- non-interactive service applications might feel concerned about
+ noninteractive service applications might feel concerned about
linking with GDI32.LIB and USER32.LIB, as they are justly associated
with interactive desktop, which is not available to service
processes. The toolkit is designed to detect in which context it's
diff --git a/README b/README
index 51bb4789..da5629f9 100644
--- a/README
+++ b/README
@@ -1,7 +1,7 @@
- OpenSSL 1.1.1d 10 Sep 2019
+ OpenSSL 1.1.1j 16 Feb 2021
- Copyright (c) 1998-2019 The OpenSSL Project
+ Copyright (c) 1998-2020 The OpenSSL Project
Copyright (c) 1995-1998 Eric A. Young, Tim J. Hudson
All rights reserved.
diff --git a/VMS/msg_install.com b/VMS/msg_install.com
new file mode 100644
index 00000000..d1eec7c9
--- /dev/null
+++ b/VMS/msg_install.com
@@ -0,0 +1,19 @@
+$ ! Used by the main descrip.mms to print the installation complete
+$ ! message.
+$ ! Arguments:
+$ ! P1 startup / setup / shutdown scripts directory
+$ ! P2 distinguishing version number ("major version")
+$
+$ systartup = p1
+$ osslver = p2
+$
+$ WRITE SYS$OUTPUT "Installation complete"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "The following commands need to be executed to enable you to use OpenSSL:"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "- to set up OpenSSL logical names:"
+$ WRITE SYS$OUTPUT " @''systartup'openssl_startup''osslver'"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "- to define the OpenSSL command"
+$ WRITE SYS$OUTPUT " @''systartup'openssl_utils''osslver'"
+$ WRITE SYS$OUTPUT ""
diff --git a/VMS/msg_staging.com b/VMS/msg_staging.com
new file mode 100644
index 00000000..11cd8087
--- /dev/null
+++ b/VMS/msg_staging.com
@@ -0,0 +1,37 @@
+$ ! Used by the main descrip.mms to print the statging installation
+$ ! complete
+$ ! message.
+$ ! Arguments:
+$ ! P1 staging software installation directory
+$ ! P2 staging data installation directory
+$ ! P3 final software installation directory
+$ ! P4 final data installation directory
+$ ! P5 startup / setup / shutdown scripts directory
+$ ! P6 distinguishing version number ("major version")
+$
+$ staging_instdir = p1
+$ staging_datadir = p2
+$ final_instdir = p3
+$ final_datadir = p4
+$ systartup = p5
+$ osslver = p6
+$
+$ WRITE SYS$OUTPUT "Staging installation complete"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "Finish or package in such a way that the contents of the following directory"
+$ WRITE SYS$OUTPUT "trees end up being copied:"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "- from ", staging_instdir
+$ WRITE SYS$OUTPUT " to ", final_instdir
+$ WRITE SYS$OUTPUT "- from ", staging_datadir
+$ WRITE SYS$OUTPUT " to ", final_datadir
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "When in its final destination, the following commands need to be executed"
+$ WRITE SYS$OUTPUT "to use OpenSSL:"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "- to set up OpenSSL logical names:"
+$ WRITE SYS$OUTPUT " @''systartup'openssl_startup''osslver'"
+$ WRITE SYS$OUTPUT ""
+$ WRITE SYS$OUTPUT "- to define the OpenSSL command"
+$ WRITE SYS$OUTPUT " @''systartup'openssl_utils''osslver'"
+$ WRITE SYS$OUTPUT ""
diff --git a/apps/apps.c b/apps/apps.c
index 7177c5d9..c06241ab 100644
--- a/apps/apps.c
+++ b/apps/apps.c
@@ -1962,26 +1962,46 @@ unsigned char *next_protos_parse(size_t *outlen, const char *in)
size_t len;
unsigned char *out;
size_t i, start = 0;
+ size_t skipped = 0;
len = strlen(in);
- if (len >= 65535)
+ if (len == 0 || len >= 65535)
return NULL;
- out = app_malloc(strlen(in) + 1, "NPN buffer");
+ out = app_malloc(len + 1, "NPN buffer");
for (i = 0; i <= len; ++i) {
if (i == len || in[i] == ',') {
+ /*
+ * Zero-length ALPN elements are invalid on the wire, we could be
+ * strict and reject the entire string, but just ignoring extra
+ * commas seems harmless and more friendly.
+ *
+ * Every comma we skip in this way puts the input buffer another
+ * byte ahead of the output buffer, so all stores into the output
+ * buffer need to be decremented by the number commas skipped.
+ */
+ if (i == start) {
+ ++start;
+ ++skipped;
+ continue;
+ }
if (i - start > 255) {
OPENSSL_free(out);
return NULL;
}
- out[start] = (unsigned char)(i - start);
+ out[start-skipped] = (unsigned char)(i - start);
start = i + 1;
} else {
- out[i + 1] = in[i];
+ out[i + 1 - skipped] = in[i];
}
}
- *outlen = len + 1;
+ if (len <= skipped) {
+ OPENSSL_free(out);
+ return NULL;
+ }
+
+ *outlen = len + 1 - skipped;
return out;
}
diff --git a/apps/apps.h b/apps/apps.h
index 4a3e1a88..34c3fd86 100644
--- a/apps/apps.h
+++ b/apps/apps.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_APPS_H
-# define HEADER_APPS_H
+#ifndef OSSL_APPS_H
+# define OSSL_APPS_H
# include "e_os.h" /* struct timeval for DTLS */
# include "internal/nelem.h"
diff --git a/apps/build.info b/apps/build.info
index 751d8da8..01537361 100644
--- a/apps/build.info
+++ b/apps/build.info
@@ -1,16 +1,17 @@
{- our @apps_openssl_src =
qw(openssl.c
- asn1pars.c ca.c ciphers.c cms.c crl.c crl2p7.c dgst.c dhparam.c
- dsa.c dsaparam.c ec.c ecparam.c enc.c engine.c errstr.c gendsa.c
- genpkey.c genrsa.c nseq.c ocsp.c passwd.c pkcs12.c pkcs7.c pkcs8.c
- pkey.c pkeyparam.c pkeyutl.c prime.c rand.c req.c rsa.c rsautl.c
+ asn1pars.c ca.c ciphers.c cms.c crl.c crl2p7.c dgst.c
+ enc.c errstr.c
+ genpkey.c nseq.c passwd.c pkcs7.c pkcs8.c
+ pkey.c pkeyparam.c pkeyutl.c prime.c rand.c req.c
s_client.c s_server.c s_time.c sess_id.c smime.c speed.c spkac.c
- srp.c ts.c verify.c version.c x509.c rehash.c storeutl.c);
+ verify.c version.c x509.c rehash.c storeutl.c);
our @apps_lib_src =
( qw(apps.c opt.c s_cb.c s_socket.c app_rand.c bf_prefix.c),
split(/\s+/, $target{apps_aux_src}) );
our @apps_init_src = split(/\s+/, $target{apps_init_src});
"" -}
+
IF[{- !$disabled{apps} -}]
LIBS_NO_INST=libapps.a
SOURCE[libapps.a]={- join(" ", @apps_lib_src) -}
@@ -21,11 +22,51 @@ IF[{- !$disabled{apps} -}]
SOURCE[openssl]={- join(" ", @apps_openssl_src) -}
INCLUDE[openssl]=.. ../include
DEPEND[openssl]=libapps.a ../libssl
-
-IF[{- $config{target} =~ /^(?:Cygwin|mingw|VC-)/ -}]
- GENERATE[openssl.rc]=../util/mkrc.pl openssl
- SOURCE[openssl]=openssl.rc
-ENDIF
+ IF[{- !$disabled{'des'} -}]
+ SOURCE[openssl]=pkcs12.c
+ DEPEND[pkcs12.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'ec'} -}]
+ SOURCE[openssl]=ec.c ecparam.c
+ DEPEND[ec.o]=progs.h
+ DEPEND[ecparam.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'ocsp'} -}]
+ SOURCE[openssl]=ocsp.c
+ DEPEND[ocsp.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'srp'} -}]
+ SOURCE[openssl]=srp.c
+ DEPEND[srp.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'ts'} -}]
+ SOURCE[openssl]=ts.c
+ DEPEND[ts.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'dh'} -}]
+ SOURCE[openssl]=dhparam.c
+ DEPEND[dhparam.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'dsa'} -}]
+ SOURCE[openssl]=dsa.c dsaparam.c gendsa.c
+ DEPEND[dsa.o]=progs.h
+ DEPEND[dsaparam.o]=progs.h
+ DEPEND[gendsa.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'engine'} -}]
+ SOURCE[openssl]=engine.c
+ DEPEND[engine.o]=progs.h
+ ENDIF
+ IF[{- !$disabled{'rsa'} -}]
+ SOURCE[openssl]=rsa.c rsautl.c genrsa.c
+ DEPEND[rsa.o]=progs.h
+ DEPEND[rsautl.o]=progs.h
+ DEPEND[genrsa.o]=progs.h
+ ENDIF
+ IF[{- $config{target} =~ /^(?:Cygwin|mingw|VC-)/ -}]
+ GENERATE[openssl.rc]=../util/mkrc.pl openssl
+ SOURCE[openssl]=openssl.rc
+ ENDIF
{- join("\n ", map { (my $x = $_) =~ s|\.c$|.o|; "DEPEND[$x]=progs.h" }
@apps_openssl_src) -}
diff --git a/apps/ca.c b/apps/ca.c
old mode 100644
new mode 100755
index a4a77126..390ac374
--- a/apps/ca.c
+++ b/apps/ca.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -1862,8 +1862,8 @@ static int do_body(X509 **xret, EVP_PKEY *pkey, X509 *x509,
row[DB_exp_date][tm->length] = '\0';
row[DB_rev_date] = NULL;
row[DB_file] = OPENSSL_strdup("unknown");
- if ((row[DB_type] == NULL) || (row[DB_exp_date] == NULL) ||
- (row[DB_file] == NULL) || (row[DB_name] == NULL)) {
+ if ((row[DB_type] == NULL) || (row[DB_file] == NULL)
+ || (row[DB_name] == NULL)) {
BIO_printf(bio_err, "Memory allocation failure\n");
goto end;
}
@@ -2223,62 +2223,51 @@ static int get_certificate_status(const char *serial, CA_DB *db)
static int do_updatedb(CA_DB *db)
{
- ASN1_UTCTIME *a_tm = NULL;
+ ASN1_TIME *a_tm = NULL;
int i, cnt = 0;
- int db_y2k, a_y2k; /* flags = 1 if y >= 2000 */
- char **rrow, *a_tm_s;
+ char **rrow;
- a_tm = ASN1_UTCTIME_new();
+ a_tm = ASN1_TIME_new();
if (a_tm == NULL)
return -1;
- /* get actual time and make a string */
+ /* get actual time */
if (X509_gmtime_adj(a_tm, 0) == NULL) {
- ASN1_UTCTIME_free(a_tm);
+ ASN1_TIME_free(a_tm);
return -1;
}
- a_tm_s = app_malloc(a_tm->length + 1, "time string");
-
- memcpy(a_tm_s, a_tm->data, a_tm->length);
- a_tm_s[a_tm->length] = '\0';
-
- if (strncmp(a_tm_s, "49", 2) <= 0)
- a_y2k = 1;
- else
- a_y2k = 0;
for (i = 0; i < sk_OPENSSL_PSTRING_num(db->db->data); i++) {
rrow = sk_OPENSSL_PSTRING_value(db->db->data, i);
if (rrow[DB_type][0] == DB_TYPE_VAL) {
/* ignore entries that are not valid */
- if (strncmp(rrow[DB_exp_date], "49", 2) <= 0)
- db_y2k = 1;
- else
- db_y2k = 0;
+ ASN1_TIME *exp_date = NULL;
- if (db_y2k == a_y2k) {
- /* all on the same y2k side */
- if (strcmp(rrow[DB_exp_date], a_tm_s) <= 0) {
- rrow[DB_type][0] = DB_TYPE_EXP;
- rrow[DB_type][1] = '\0';
- cnt++;
+ exp_date = ASN1_TIME_new();
+ if (exp_date == NULL) {
+ ASN1_TIME_free(a_tm);
+ return -1;
+ }
- BIO_printf(bio_err, "%s=Expired\n", rrow[DB_serial]);
- }
- } else if (db_y2k < a_y2k) {
+ if (!ASN1_TIME_set_string(exp_date, rrow[DB_exp_date])) {
+ ASN1_TIME_free(a_tm);
+ ASN1_TIME_free(exp_date);
+ return -1;
+ }
+
+ if (ASN1_TIME_compare(exp_date, a_tm) <= 0) {
rrow[DB_type][0] = DB_TYPE_EXP;
rrow[DB_type][1] = '\0';
cnt++;
BIO_printf(bio_err, "%s=Expired\n", rrow[DB_serial]);
}
-
+ ASN1_TIME_free(exp_date);
}
}
- ASN1_UTCTIME_free(a_tm);
- OPENSSL_free(a_tm_s);
+ ASN1_TIME_free(a_tm);
return cnt;
}
diff --git a/apps/cms.c b/apps/cms.c
index 15edd67d..71554037 100644
--- a/apps/cms.c
+++ b/apps/cms.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -545,9 +545,11 @@ int cms_main(int argc, char **argv)
if (key_param == NULL || key_param->idx != keyidx) {
cms_key_param *nparam;
nparam = app_malloc(sizeof(*nparam), "key param buffer");
- nparam->idx = keyidx;
- if ((nparam->param = sk_OPENSSL_STRING_new_null()) == NULL)
+ if ((nparam->param = sk_OPENSSL_STRING_new_null()) == NULL) {
+ OPENSSL_free(nparam);
goto end;
+ }
+ nparam->idx = keyidx;
nparam->next = NULL;
if (key_first == NULL)
key_first = nparam;
diff --git a/apps/dgst.c b/apps/dgst.c
index d6f5a0e2..e595f7d8 100644
--- a/apps/dgst.c
+++ b/apps/dgst.c
@@ -19,6 +19,7 @@
#include <openssl/x509.h>
#include <openssl/pem.h>
#include <openssl/hmac.h>
+#include <ctype.h>
#undef BUFSIZE
#define BUFSIZE 1024*8
@@ -27,9 +28,15 @@ int do_fp(BIO *out, unsigned char *buf, BIO *bp, int sep, int binout,
EVP_PKEY *key, unsigned char *sigin, int siglen,
const char *sig_name, const char *md_name,
const char *file);
+static void show_digests(const OBJ_NAME *name, void *bio_);
+
+struct doall_dgst_digests {
+ BIO *bio;
+ int n;
+};
typedef enum OPTION_choice {
- OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
+ OPT_ERR = -1, OPT_EOF = 0, OPT_HELP, OPT_LIST,
OPT_C, OPT_R, OPT_OUT, OPT_SIGN, OPT_PASSIN, OPT_VERIFY,
OPT_PRVERIFY, OPT_SIGNATURE, OPT_KEYFORM, OPT_ENGINE, OPT_ENGINE_IMPL,
OPT_HEX, OPT_BINARY, OPT_DEBUG, OPT_FIPS_FINGERPRINT,
@@ -43,6 +50,7 @@ const OPTIONS dgst_options[] = {
{OPT_HELP_STR, 1, '-',
" file... files to digest (default is stdin)\n"},
{"help", OPT_HELP, '-', "Display this summary"},
+ {"list", OPT_LIST, '-', "List digests"},
{"c", OPT_C, '-', "Print the digest with separating colons"},
{"r", OPT_R, '-', "Print the digest in coreutils format"},
{"out", OPT_OUT, '>', "Output to filename rather than stdout"},
@@ -91,6 +99,7 @@ int dgst_main(int argc, char **argv)
int i, ret = 1, out_bin = -1, want_pub = 0, do_verify = 0;
unsigned char *buf = NULL, *sigbuf = NULL;
int engine_impl = 0;
+ struct doall_dgst_digests dec;
prog = opt_progname(argv[0]);
buf = app_malloc(BUFSIZE, "I/O buffer");
@@ -108,6 +117,15 @@ int dgst_main(int argc, char **argv)
opt_help(dgst_options);
ret = 0;
goto end;
+ case OPT_LIST:
+ BIO_printf(bio_out, "Supported digests:\n");
+ dec.bio = bio_out;
+ dec.n = 0;
+ OBJ_NAME_do_all_sorted(OBJ_NAME_TYPE_MD_METH,
+ show_digests, &dec);
+ BIO_printf(bio_out, "\n");
+ ret = 0;
+ goto end;
case OPT_C:
separator = 1;
break;
@@ -413,20 +431,86 @@ int dgst_main(int argc, char **argv)
return ret;
}
+static void show_digests(const OBJ_NAME *name, void *arg)
+{
+ struct doall_dgst_digests *dec = (struct doall_dgst_digests *)arg;
+ const EVP_MD *md = NULL;
+
+ /* Filter out signed digests (a.k.a signature algorithms) */
+ if (strstr(name->name, "rsa") != NULL || strstr(name->name, "RSA") != NULL)
+ return;
+
+ if (!islower((unsigned char)*name->name))
+ return;
+
+ /* Filter out message digests that we cannot use */
+ md = EVP_get_digestbyname(name->name);
+ if (md == NULL)
+ return;
+
+ BIO_printf(dec->bio, "-%-25s", name->name);
+ if (++dec->n == 3) {
+ BIO_printf(dec->bio, "\n");
+ dec->n = 0;
+ } else {
+ BIO_printf(dec->bio, " ");
+ }
+}
+
+/*
+ * The newline_escape_filename function performs newline escaping for any
+ * filename that contains a newline. This function also takes a pointer
+ * to backslash. The backslash pointer is a flag to indicating whether a newline
+ * is present in the filename. If a newline is present, the backslash flag is
+ * set and the output format will contain a backslash at the beginning of the
+ * digest output. This output format is to replicate the output format found
+ * in the '*sum' checksum programs. This aims to preserve backward
+ * compatibility.
+ */
+static const char *newline_escape_filename(const char *file, int * backslash)
+{
+ size_t i, e = 0, length = strlen(file), newline_count = 0, mem_len = 0;
+ char *file_cpy = NULL;
+
+ for (i = 0; i < length; i++)
+ if (file[i] == '\n')
+ newline_count++;
+
+ mem_len = length + newline_count + 1;
+ file_cpy = app_malloc(mem_len, file);
+ i = 0;
+
+ while(e < length) {
+ const char c = file[e];
+ if (c == '\n') {
+ file_cpy[i++] = '\\';
+ file_cpy[i++] = 'n';
+ *backslash = 1;
+ } else {
+ file_cpy[i++] = c;
+ }
+ e++;
+ }
+ file_cpy[i] = '\0';
+ return (const char*)file_cpy;
+}
+
+
int do_fp(BIO *out, unsigned char *buf, BIO *bp, int sep, int binout,
EVP_PKEY *key, unsigned char *sigin, int siglen,
const char *sig_name, const char *md_name,
const char *file)
{
- size_t len;
- int i;
+ size_t len = BUFSIZE;
+ int i, backslash = 0, ret = 1;
+ unsigned char *sigbuf = NULL;
while (BIO_pending(bp) || !BIO_eof(bp)) {
i = BIO_read(bp, (char *)buf, BUFSIZE);
if (i < 0) {
BIO_printf(bio_err, "Read Error in %s\n", file);
ERR_print_errors(bio_err);
- return 1;
+ goto end;
}
if (i == 0)
break;
@@ -439,37 +523,51 @@ int do_fp(BIO *out, unsigned char *buf, BIO *bp, int sep, int binout,
BIO_printf(out, "Verified OK\n");
} else if (i == 0) {
BIO_printf(out, "Verification Failure\n");
- return 1;
+ goto end;
} else {
BIO_printf(bio_err, "Error Verifying Data\n");
ERR_print_errors(bio_err);
- return 1;
+ goto end;
}
- return 0;
+ ret = 0;
+ goto end;
}
if (key != NULL) {
EVP_MD_CTX *ctx;
+ int pkey_len;
BIO_get_md_ctx(bp, &ctx);
- len = BUFSIZE;
+ pkey_len = EVP_PKEY_size(key);
+ if (pkey_len > BUFSIZE) {
+ len = pkey_len;
+ sigbuf = app_malloc(len, "Signature buffer");
+ buf = sigbuf;
+ }
if (!EVP_DigestSignFinal(ctx, buf, &len)) {
BIO_printf(bio_err, "Error Signing Data\n");
ERR_print_errors(bio_err);
- return 1;
+ goto end;
}
} else {
len = BIO_gets(bp, (char *)buf, BUFSIZE);
if ((int)len < 0) {
ERR_print_errors(bio_err);
- return 1;
+ goto end;
}
}
if (binout) {
BIO_write(out, buf, len);
} else if (sep == 2) {
+ file = newline_escape_filename(file, &backslash);
+
+ if (backslash == 1)
+ BIO_puts(out, "\\");
+
for (i = 0; i < (int)len; i++)
BIO_printf(out, "%02x", buf[i]);
+
BIO_printf(out, " *%s\n", file);
+ OPENSSL_free((char *)file);
} else {
if (sig_name != NULL) {
BIO_puts(out, sig_name);
@@ -488,5 +586,11 @@ int do_fp(BIO *out, unsigned char *buf, BIO *bp, int sep, int binout,
}
BIO_printf(out, "\n");
}
- return 0;
+
+ ret = 0;
+ end:
+ if (sigbuf != NULL)
+ OPENSSL_clear_free(sigbuf, len);
+
+ return ret;
}
diff --git a/apps/dhparam.c b/apps/dhparam.c
index 13f76754..98c73214 100644
--- a/apps/dhparam.c
+++ b/apps/dhparam.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,28 +8,24 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_DH
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <time.h>
-# include <string.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/bn.h>
-# include <openssl/dh.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
-
-# ifndef OPENSSL_NO_DSA
-# include <openssl/dsa.h>
-# endif
-
-# define DEFBITS 2048
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <string.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/bn.h>
+#include <openssl/dh.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
+
+#ifndef OPENSSL_NO_DSA
+# include <openssl/dsa.h>
+#endif
+
+#define DEFBITS 2048
static int dh_cb(int p, int n, BN_GENCB *cb);
@@ -56,13 +52,13 @@ const OPTIONS dhparam_options[] = {
{"C", OPT_C, '-', "Print C code"},
{"2", OPT_2, '-', "Generate parameters using 2 as the generator value"},
{"5", OPT_5, '-', "Generate parameters using 5 as the generator value"},
-# ifndef OPENSSL_NO_DSA
+#ifndef OPENSSL_NO_DSA
{"dsaparam", OPT_DSAPARAM, '-',
"Read or generate DSA parameters, convert to DH"},
-# endif
-# ifndef OPENSSL_NO_ENGINE
+#endif
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine e, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -146,13 +142,13 @@ int dhparam_main(int argc, char **argv)
if (g && !num)
num = DEFBITS;
-# ifndef OPENSSL_NO_DSA
+#ifndef OPENSSL_NO_DSA
if (dsaparam && g) {
BIO_printf(bio_err,
"generator may not be chosen for DSA parameters\n");
goto end;
}
-# endif
+#endif
out = bio_open_default(outfile, 'w', outformat);
if (out == NULL)
@@ -173,7 +169,7 @@ int dhparam_main(int argc, char **argv)
BN_GENCB_set(cb, dh_cb, bio_err);
-# ifndef OPENSSL_NO_DSA
+#ifndef OPENSSL_NO_DSA
if (dsaparam) {
DSA *dsa = DSA_new();
@@ -196,7 +192,7 @@ int dhparam_main(int argc, char **argv)
goto end;
}
} else
-# endif
+#endif
{
dh = DH_new();
BIO_printf(bio_err,
@@ -217,7 +213,7 @@ int dhparam_main(int argc, char **argv)
if (in == NULL)
goto end;
-# ifndef OPENSSL_NO_DSA
+#ifndef OPENSSL_NO_DSA
if (dsaparam) {
DSA *dsa;
@@ -239,7 +235,7 @@ int dhparam_main(int argc, char **argv)
goto end;
}
} else
-# endif
+#endif
{
if (informat == FORMAT_ASN1) {
/*
@@ -376,4 +372,3 @@ static int dh_cb(int p, int n, BN_GENCB *cb)
(void)BIO_flush(BN_GENCB_get_arg(cb));
return 1;
}
-#endif
diff --git a/apps/dsa.c b/apps/dsa.c
index 6022e64c..c7884df1 100644
--- a/apps/dsa.c
+++ b/apps/dsa.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,23 +8,19 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_DSA
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include <time.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/dsa.h>
-# include <openssl/evp.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
-# include <openssl/bn.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/dsa.h>
+#include <openssl/evp.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
+#include <openssl/bn.h>
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -49,14 +45,14 @@ const OPTIONS dsa_options[] = {
{"passin", OPT_PASSIN, 's', "Input file pass phrase source"},
{"passout", OPT_PASSOUT, 's', "Output file pass phrase source"},
{"", OPT_CIPHER, '-', "Any supported cipher"},
-# ifndef OPENSSL_NO_RC4
+#ifndef OPENSSL_NO_RC4
{"pvk-strong", OPT_PVK_STRONG, '-', "Enable 'Strong' PVK encoding level (default)"},
{"pvk-weak", OPT_PVK_WEAK, '-', "Enable 'Weak' PVK encoding level"},
{"pvk-none", OPT_PVK_NONE, '-', "Don't enforce PVK encoding"},
-# endif
-# ifndef OPENSSL_NO_ENGINE
+#endif
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine e, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -71,9 +67,9 @@ int dsa_main(int argc, char **argv)
OPTION_CHOICE o;
int informat = FORMAT_PEM, outformat = FORMAT_PEM, text = 0, noout = 0;
int i, modulus = 0, pubin = 0, pubout = 0, ret = 1;
-# ifndef OPENSSL_NO_RC4
+#ifndef OPENSSL_NO_RC4
int pvk_encr = 2;
-# endif
+#endif
int private = 0;
prog = opt_init(argc, argv, dsa_options);
@@ -214,7 +210,7 @@ int dsa_main(int argc, char **argv)
i = PEM_write_bio_DSAPrivateKey(out, dsa, enc,
NULL, 0, NULL, passout);
}
-# ifndef OPENSSL_NO_RSA
+#ifndef OPENSSL_NO_RSA
} else if (outformat == FORMAT_MSBLOB || outformat == FORMAT_PVK) {
EVP_PKEY *pk;
pk = EVP_PKEY_new();
@@ -229,13 +225,13 @@ int dsa_main(int argc, char **argv)
goto end;
}
assert(private);
-# ifdef OPENSSL_NO_RC4
+# ifdef OPENSSL_NO_RC4
BIO_printf(bio_err, "PVK format not supported\n");
EVP_PKEY_free(pk);
goto end;
-# else
+# else
i = i2b_PVK_bio(out, pk, pvk_encr, 0, passout);
-# endif
+# endif
} else if (pubin || pubout) {
i = i2b_PublicKey_bio(out, pk);
} else {
@@ -243,7 +239,7 @@ int dsa_main(int argc, char **argv)
i = i2b_PrivateKey_bio(out, pk);
}
EVP_PKEY_free(pk);
-# endif
+#endif
} else {
BIO_printf(bio_err, "bad output format specified for outfile\n");
goto end;
@@ -262,4 +258,3 @@ int dsa_main(int argc, char **argv)
OPENSSL_free(passout);
return ret;
}
-#endif
diff --git a/apps/dsaparam.c b/apps/dsaparam.c
index b227b76a..75589ac6 100644
--- a/apps/dsaparam.c
+++ b/apps/dsaparam.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,22 +8,18 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_DSA
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <time.h>
-# include <string.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/bn.h>
-# include <openssl/dsa.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <string.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/bn.h>
+#include <openssl/dsa.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
static int dsa_cb(int p, int n, BN_GENCB *cb);
@@ -44,9 +40,9 @@ const OPTIONS dsaparam_options[] = {
{"noout", OPT_NOOUT, '-', "No output"},
{"genkey", OPT_GENKEY, '-', "Generate a DSA key"},
OPT_R_OPTIONS,
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine e, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -255,4 +251,3 @@ static int dsa_cb(int p, int n, BN_GENCB *cb)
(void)BIO_flush(BN_GENCB_get_arg(cb));
return 1;
}
-#endif
diff --git a/apps/ec.c b/apps/ec.c
index 03abb006..0c8ed750 100644
--- a/apps/ec.c
+++ b/apps/ec.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,19 +8,15 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_EC
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/evp.h>
-# include <openssl/pem.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/evp.h>
+#include <openssl/pem.h>
static OPT_PAIR conv_forms[] = {
{"compressed", POINT_CONVERSION_COMPRESSED},
@@ -62,9 +58,9 @@ const OPTIONS ec_options[] = {
"Specifies the way the ec parameters are encoded"},
{"conv_form", OPT_CONV_FORM, 's', "Specifies the point conversion form "},
{"", OPT_CIPHER, '-', "Any supported cipher"},
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -280,4 +276,3 @@ int ec_main(int argc, char **argv)
OPENSSL_free(passout);
return ret;
}
-#endif
diff --git a/apps/ecparam.c b/apps/ecparam.c
index 917f1a86..58fbeb95 100644
--- a/apps/ecparam.c
+++ b/apps/ecparam.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -9,22 +9,18 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_EC
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <time.h>
-# include <string.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/bn.h>
-# include <openssl/ec.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <string.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/bn.h>
+#include <openssl/ec.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -55,9 +51,9 @@ const OPTIONS ecparam_options[] = {
"Specifies the way the ec parameters are encoded"},
{"genkey", OPT_GENKEY, '-', "Generate ec key"},
OPT_R_OPTIONS,
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -446,5 +442,3 @@ int ecparam_main(int argc, char **argv)
BIO_free_all(out);
return ret;
}
-
-#endif
diff --git a/apps/enc.c b/apps/enc.c
index d1772f3e..ddf51e0d 100644
--- a/apps/enc.c
+++ b/apps/enc.c
@@ -50,7 +50,8 @@ typedef enum OPTION_choice {
const OPTIONS enc_options[] = {
{"help", OPT_HELP, '-', "Display this summary"},
- {"ciphers", OPT_LIST, '-', "List ciphers"},
+ {"list", OPT_LIST, '-', "List ciphers"},
+ {"ciphers", OPT_LIST, '-', "Alias for -list"},
{"in", OPT_IN, '<', "Input file"},
{"out", OPT_OUT, '>', "Output file"},
{"pass", OPT_PASS, 's', "Passphrase source"},
diff --git a/apps/engine.c b/apps/engine.c
index 83f9588a..746cace3 100644
--- a/apps/engine.c
+++ b/apps/engine.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,19 +8,15 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_ENGINE
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include "apps.h"
-# include "progs.h"
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include <openssl/err.h>
-# include <openssl/engine.h>
-# include <openssl/ssl.h>
-# include <openssl/store.h>
+#include "apps.h"
+#include "progs.h"
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <openssl/err.h>
+#include <openssl/engine.h>
+#include <openssl/ssl.h>
+#include <openssl/store.h>
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -486,4 +482,3 @@ int engine_main(int argc, char **argv)
BIO_free_all(out);
return ret;
}
-#endif
diff --git a/apps/gendsa.c b/apps/gendsa.c
index 40137542..ec57c92a 100644
--- a/apps/gendsa.c
+++ b/apps/gendsa.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,22 +8,18 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_DSA
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <string.h>
-# include <sys/types.h>
-# include <sys/stat.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/bn.h>
-# include <openssl/dsa.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
+#include <stdio.h>
+#include <string.h>
+#include <sys/types.h>
+#include <sys/stat.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/bn.h>
+#include <openssl/dsa.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -39,9 +35,9 @@ const OPTIONS gendsa_options[] = {
{"passout", OPT_PASSOUT, 's', "Output file pass phrase source"},
OPT_R_OPTIONS,
{"", OPT_CIPHER, '-', "Encrypt the output with any supported cipher"},
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -143,4 +139,3 @@ int gendsa_main(int argc, char **argv)
OPENSSL_free(passout);
return ret;
}
-#endif
diff --git a/apps/genpkey.c b/apps/genpkey.c
index 39fa73c9..3fe87e85 100644
--- a/apps/genpkey.c
+++ b/apps/genpkey.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -177,9 +177,12 @@ int genpkey_main(int argc, char **argv)
goto end;
}
+ ret = 0;
+
if (rv <= 0) {
BIO_puts(bio_err, "Error writing key\n");
ERR_print_errors(bio_err);
+ ret = 1;
}
if (text) {
@@ -191,11 +194,10 @@ int genpkey_main(int argc, char **argv)
if (rv <= 0) {
BIO_puts(bio_err, "Error printing key\n");
ERR_print_errors(bio_err);
+ ret = 1;
}
}
- ret = 0;
-
end:
EVP_PKEY_free(pkey);
EVP_PKEY_CTX_free(ctx);
diff --git a/apps/genrsa.c b/apps/genrsa.c
index c17cd147..e34a2f7a 100644
--- a/apps/genrsa.c
+++ b/apps/genrsa.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,27 +8,23 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_RSA
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <string.h>
-# include <sys/types.h>
-# include <sys/stat.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/bn.h>
-# include <openssl/rsa.h>
-# include <openssl/evp.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
-# include <openssl/rand.h>
-
-# define DEFBITS 2048
-# define DEFPRIMES 2
+#include <stdio.h>
+#include <string.h>
+#include <sys/types.h>
+#include <sys/stat.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/bn.h>
+#include <openssl/rsa.h>
+#include <openssl/evp.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
+#include <openssl/rand.h>
+
+#define DEFBITS 2048
+#define DEFPRIMES 2
static int genrsa_cb(int p, int n, BN_GENCB *cb);
@@ -48,9 +44,9 @@ const OPTIONS genrsa_options[] = {
OPT_R_OPTIONS,
{"passout", OPT_PASSOUT, 's', "Output file pass phrase source"},
{"", OPT_CIPHER, '-', "Encrypt the output with any supported cipher"},
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{"primes", OPT_PRIMES, 'p', "Specify number of primes"},
{NULL}
};
@@ -198,4 +194,3 @@ static int genrsa_cb(int p, int n, BN_GENCB *cb)
(void)BIO_flush(BN_GENCB_get_arg(cb));
return 1;
}
-#endif
diff --git a/apps/ocsp.c b/apps/ocsp.c
index 5d239181..27ec94fa 100644
--- a/apps/ocsp.c
+++ b/apps/ocsp.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,65 +9,62 @@
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_OCSP
-NON_EMPTY_TRANSLATION_UNIT
-#else
-# ifdef OPENSSL_SYS_VMS
-# define _XOPEN_SOURCE_EXTENDED/* So fd_set and friends get properly defined
+#ifdef OPENSSL_SYS_VMS
+# define _XOPEN_SOURCE_EXTENDED/* So fd_set and friends get properly defined
* on OpenVMS */
-# endif
+#endif
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include <time.h>
-# include <ctype.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include <ctype.h>
/* Needs to be included before the openssl headers */
-# include "apps.h"
-# include "progs.h"
-# include "internal/sockets.h"
-# include <openssl/e_os2.h>
-# include <openssl/crypto.h>
-# include <openssl/err.h>
-# include <openssl/ssl.h>
-# include <openssl/evp.h>
-# include <openssl/bn.h>
-# include <openssl/x509v3.h>
-# include <openssl/rand.h>
+#include "apps.h"
+#include "progs.h"
+#include "internal/sockets.h"
+#include <openssl/e_os2.h>
+#include <openssl/crypto.h>
+#include <openssl/err.h>
+#include <openssl/ssl.h>
+#include <openssl/evp.h>
+#include <openssl/bn.h>
+#include <openssl/x509v3.h>
+#include <openssl/rand.h>
#ifndef HAVE_FORK
-# if defined(OPENSSL_SYS_VMS) || defined(OPENSSL_SYS_WINDOWS)
-# define HAVE_FORK 0
-# else
-# define HAVE_FORK 1
-# endif
+#if defined(OPENSSL_SYS_VMS) || defined(OPENSSL_SYS_WINDOWS)
+# define HAVE_FORK 0
+#else
+# define HAVE_FORK 1
+#endif
#endif
#if HAVE_FORK
-# undef NO_FORK
+#undef NO_FORK
#else
-# define NO_FORK
+#define NO_FORK
#endif
-# if !defined(NO_FORK) && !defined(OPENSSL_NO_SOCK) \
+#if !defined(NO_FORK) && !defined(OPENSSL_NO_SOCK) \
&& !defined(OPENSSL_NO_POSIX_IO)
-# define OCSP_DAEMON
-# include <sys/types.h>
-# include <sys/wait.h>
-# include <syslog.h>
-# include <signal.h>
-# define MAXERRLEN 1000 /* limit error text sent to syslog to 1000 bytes */
-# else
-# undef LOG_INFO
-# undef LOG_WARNING
-# undef LOG_ERR
-# define LOG_INFO 0
-# define LOG_WARNING 1
-# define LOG_ERR 2
-# endif
+# define OCSP_DAEMON
+# include <sys/types.h>
+# include <sys/wait.h>
+# include <syslog.h>
+# include <signal.h>
+# define MAXERRLEN 1000 /* limit error text sent to syslog to 1000 bytes */
+#else
+# undef LOG_INFO
+# undef LOG_WARNING
+# undef LOG_ERR
+# define LOG_INFO 0
+# define LOG_WARNING 1
+# define LOG_ERR 2
+#endif
-# if defined(OPENSSL_SYS_VXWORKS)
+#if defined(OPENSSL_SYS_VXWORKS)
/* not supported */
int setpgid(pid_t pid, pid_t pgid)
{
@@ -80,9 +77,9 @@ pid_t fork(void)
errno = ENOSYS;
return (pid_t) -1;
}
-# endif
+#endif
/* Maximum leeway in validity period: default 5 minutes */
-# define MAX_VALIDITY_PERIOD (5 * 60)
+#define MAX_VALIDITY_PERIOD (5 * 60)
static int add_ocsp_cert(OCSP_REQUEST **req, X509 *cert,
const EVP_MD *cert_id_md, X509 *issuer,
@@ -109,20 +106,20 @@ static void log_message(int level, const char *fmt, ...);
static char *prog;
static int multi = 0;
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
static int acfd = (int) INVALID_SOCKET;
static int index_changed(CA_DB *);
static void spawn_loop(void);
static int print_syslog(const char *str, size_t len, void *levPtr);
-static void sock_timeout(int signum);
-# endif
+static void socket_timeout(int signum);
+#endif
-# ifndef OPENSSL_NO_SOCK
+#ifndef OPENSSL_NO_SOCK
static OCSP_RESPONSE *query_responder(BIO *cbio, const char *host,
const char *path,
const STACK_OF(CONF_VALUE) *headers,
OCSP_REQUEST *req, int req_timeout);
-# endif
+#endif
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -160,9 +157,9 @@ const OPTIONS ocsp_options[] = {
"Don't include any certificates in response"},
{"resp_key_id", OPT_RESP_KEY_ID, '-',
"Identify response by signing certificate key ID"},
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
{"multi", OPT_MULTI, 'p', "run multiple responder processes"},
-# endif
+#endif
{"no_certs", OPT_NO_CERTS, '-',
"Don't include any certificates in signed request"},
{"no_signature_verify", OPT_NO_SIGNATURE_VERIFY, '-',
@@ -511,9 +508,9 @@ int ocsp_main(int argc, char **argv)
trailing_md = 1;
break;
case OPT_MULTI:
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
multi = atoi(opt_arg());
-# endif
+#endif
break;
}
}
@@ -593,11 +590,11 @@ int ocsp_main(int argc, char **argv)
}
}
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
if (multi && acbio != NULL)
spawn_loop();
if (acbio != NULL && req_timeout > 0)
- signal(SIGALRM, sock_timeout);
+ signal(SIGALRM, socket_timeout);
#endif
if (acbio != NULL)
@@ -606,7 +603,7 @@ int ocsp_main(int argc, char **argv)
redo_accept:
if (acbio != NULL) {
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
if (index_changed(rdb)) {
CA_DB *newrdb = load_index(ridx_filename, NULL);
@@ -619,7 +616,7 @@ redo_accept:
ridx_filename);
}
}
-# endif
+#endif
req = NULL;
if (!do_responder(&req, &cbio, acbio, req_timeout))
@@ -688,16 +685,16 @@ redo_accept:
if (cbio != NULL)
send_ocsp_response(cbio, resp);
} else if (host != NULL) {
-# ifndef OPENSSL_NO_SOCK
+#ifndef OPENSSL_NO_SOCK
resp = process_responder(req, host, path,
port, use_ssl, headers, req_timeout);
if (resp == NULL)
goto end;
-# else
+#else
BIO_printf(bio_err,
"Error creating connect BIO - sockets not supported.\n");
goto end;
-# endif
+#endif
} else if (respin != NULL) {
derbio = bio_open_default(respin, 'r', FORMAT_ASN1);
if (derbio == NULL)
@@ -840,7 +837,7 @@ log_message(int level, const char *fmt, ...)
va_list ap;
va_start(ap, fmt);
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
if (multi) {
char buf[1024];
if (vsnprintf(buf, sizeof(buf), fmt, ap) > 0) {
@@ -849,7 +846,7 @@ log_message(int level, const char *fmt, ...)
if (level >= LOG_ERR)
ERR_print_errors_cb(print_syslog, &level);
}
-# endif
+#endif
if (!multi) {
BIO_printf(bio_err, "%s: ", prog);
BIO_vprintf(bio_err, fmt, ap);
@@ -858,7 +855,7 @@ log_message(int level, const char *fmt, ...)
va_end(ap);
}
-# ifdef OCSP_DAEMON
+#ifdef OCSP_DAEMON
static int print_syslog(const char *str, size_t len, void *levPtr)
{
@@ -1011,7 +1008,7 @@ static void spawn_loop(void)
syslog(LOG_INFO, "terminating on signal: %d", termsig);
killall(0, kidpids);
}
-# endif
+#endif
static int add_ocsp_cert(OCSP_REQUEST **req, X509 *cert,
const EVP_MD *cert_id_md, X509 *issuer,
@@ -1291,11 +1288,11 @@ static char **lookup_serial(CA_DB *db, ASN1_INTEGER *ser)
static BIO *init_responder(const char *port)
{
-# ifdef OPENSSL_NO_SOCK
+#ifdef OPENSSL_NO_SOCK
BIO_printf(bio_err,
"Error setting up accept BIO - sockets not supported.\n");
return NULL;
-# else
+#else
BIO *acbio = NULL, *bufbio = NULL;
bufbio = BIO_new(BIO_f_buffer());
@@ -1322,10 +1319,10 @@ static BIO *init_responder(const char *port)
BIO_free_all(acbio);
BIO_free(bufbio);
return NULL;
-# endif
+#endif
}
-# ifndef OPENSSL_NO_SOCK
+#ifndef OPENSSL_NO_SOCK
/*
* Decode %xx URL-decoding in-place. Ignores mal-formed sequences.
*/
@@ -1349,22 +1346,22 @@ static int urldecode(char *p)
*out = '\0';
return (int)(out - save);
}
-# endif
+#endif
-# ifdef OCSP_DAEMON
-static void sock_timeout(int signum)
+#ifdef OCSP_DAEMON
+static void socket_timeout(int signum)
{
if (acfd != (int)INVALID_SOCKET)
(void)shutdown(acfd, SHUT_RD);
}
-# endif
+#endif
static int do_responder(OCSP_REQUEST **preq, BIO **pcbio, BIO *acbio,
int timeout)
{
-# ifdef OPENSSL_NO_SOCK
+#ifdef OPENSSL_NO_SOCK
return 0;
-# else
+#else
int len;
OCSP_REQUEST *req = NULL;
char inbuf[2048], reqbuf[2048];
@@ -1382,12 +1379,12 @@ static int do_responder(OCSP_REQUEST **preq, BIO **pcbio, BIO *acbio,
*pcbio = cbio;
client = BIO_get_peer_name(cbio);
-# ifdef OCSP_DAEMON
+# ifdef OCSP_DAEMON
if (timeout > 0) {
(void) BIO_get_fd(cbio, &acfd);
alarm(timeout);
}
-# endif
+# endif
/* Read the request line. */
len = BIO_gets(cbio, reqbuf, sizeof(reqbuf));
@@ -1450,11 +1447,11 @@ static int do_responder(OCSP_REQUEST **preq, BIO **pcbio, BIO *acbio,
break;
}
-# ifdef OCSP_DAEMON
+# ifdef OCSP_DAEMON
/* Clear alarm before we close the client socket */
alarm(0);
timeout = 0;
-# endif
+# endif
/* Try to read OCSP request */
if (getbio != NULL) {
@@ -1470,13 +1467,13 @@ static int do_responder(OCSP_REQUEST **preq, BIO **pcbio, BIO *acbio,
*preq = req;
out:
-# ifdef OCSP_DAEMON
+# ifdef OCSP_DAEMON
if (timeout > 0)
alarm(0);
acfd = (int)INVALID_SOCKET;
-# endif
- return 1;
# endif
+ return 1;
+#endif
}
static int send_ocsp_response(BIO *cbio, OCSP_RESPONSE *resp)
@@ -1492,7 +1489,7 @@ static int send_ocsp_response(BIO *cbio, OCSP_RESPONSE *resp)
return 1;
}
-# ifndef OPENSSL_NO_SOCK
+#ifndef OPENSSL_NO_SOCK
static OCSP_RESPONSE *query_responder(BIO *cbio, const char *host,
const char *path,
const STACK_OF(CONF_VALUE) *headers,
@@ -1623,6 +1620,4 @@ OCSP_RESPONSE *process_responder(OCSP_REQUEST *req,
SSL_CTX_free(ctx);
return resp;
}
-# endif
-
#endif
diff --git a/apps/openssl.c b/apps/openssl.c
index 9648f35b..ff7b759a 100644
--- a/apps/openssl.c
+++ b/apps/openssl.c
@@ -164,6 +164,13 @@ int main(int argc, char *argv[])
}
prog = prog_init();
+ if (prog == NULL) {
+ BIO_printf(bio_err,
+ "FATAL: Startup failure (dev note: prog_init() failed)\n");
+ ERR_print_errors(bio_err);
+ ret = 1;
+ goto end;
+ }
pname = opt_progname(argv[0]);
/* first check the program name */
diff --git a/apps/passwd.c b/apps/passwd.c
index aa516c87..d741d053 100644
--- a/apps/passwd.c
+++ b/apps/passwd.c
@@ -807,7 +807,7 @@ static int do_passwd(int passed_salt, char **salt_p, char **salt_malloc_p,
(*salt_p)[i] = cov_2char[(*salt_p)[i] & 0x3f]; /* 6 bits */
(*salt_p)[i] = 0;
# ifdef CHARSET_EBCDIC
- /* The password encryption funtion will convert back to ASCII */
+ /* The password encryption function will convert back to ASCII */
ascii2ebcdic(*salt_p, *salt_p, saltlen);
# endif
}
diff --git a/apps/pkcs12.c b/apps/pkcs12.c
index d0600b37..8c5d963b 100644
--- a/apps/pkcs12.c
+++ b/apps/pkcs12.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,25 +8,21 @@
*/
#include <openssl/opensslconf.h>
-#if defined(OPENSSL_NO_DES)
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/crypto.h>
-# include <openssl/err.h>
-# include <openssl/pem.h>
-# include <openssl/pkcs12.h>
-
-# define NOKEYS 0x1
-# define NOCERTS 0x2
-# define INFO 0x4
-# define CLCERTS 0x8
-# define CACERTS 0x10
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/crypto.h>
+#include <openssl/err.h>
+#include <openssl/pem.h>
+#include <openssl/pkcs12.h>
+
+#define NOKEYS 0x1
+#define NOCERTS 0x2
+#define INFO 0x4
+#define CLCERTS 0x8
+#define CACERTS 0x10
#define PASSWD_BUF_SIZE 2048
@@ -41,6 +37,7 @@ int dump_certs_pkeys_bags(BIO *out, const STACK_OF(PKCS12_SAFEBAG) *bags,
int dump_certs_pkeys_bag(BIO *out, const PKCS12_SAFEBAG *bags,
const char *pass, int passlen,
int options, char *pempass, const EVP_CIPHER *enc);
+void print_attribute(BIO *out, const ASN1_TYPE *av);
int print_attribs(BIO *out, const STACK_OF(X509_ATTRIBUTE) *attrlst,
const char *name);
void hex_prin(BIO *out, unsigned char *buf, int len);
@@ -73,15 +70,15 @@ const OPTIONS pkcs12_options[] = {
{"chain", OPT_CHAIN, '-', "Add certificate chain"},
{"twopass", OPT_TWOPASS, '-', "Separate MAC, encryption passwords"},
{"nomacver", OPT_NOMACVER, '-', "Don't verify MAC"},
-# ifndef OPENSSL_NO_RC2
+#ifndef OPENSSL_NO_RC2
{"descert", OPT_DESCERT, '-',
"Encrypt output with 3DES (default RC2-40)"},
{"certpbe", OPT_CERTPBE, 's',
"Certificate PBE algorithm (default RC2-40)"},
-# else
+#else
{"descert", OPT_DESCERT, '-', "Encrypt output with 3DES (the default)"},
{"certpbe", OPT_CERTPBE, 's', "Certificate PBE algorithm (default 3DES)"},
-# endif
+#endif
{"export", OPT_EXPORT, '-', "Output PKCS12 file"},
{"noiter", OPT_NOITER, '-', "Don't use encryption iteration"},
{"maciter", OPT_MACITER, '-', "Use MAC iteration"},
@@ -112,9 +109,9 @@ const OPTIONS pkcs12_options[] = {
{"no-CApath", OPT_NOCAPATH, '-',
"Do not load certificates from the default certificates directory"},
{"", OPT_CIPHER, '-', "Any supported cipher"},
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -125,11 +122,11 @@ int pkcs12_main(int argc, char **argv)
char pass[PASSWD_BUF_SIZE] = "", macpass[PASSWD_BUF_SIZE] = "";
int export_cert = 0, options = 0, chain = 0, twopass = 0, keytype = 0;
int iter = PKCS12_DEFAULT_ITER, maciter = PKCS12_DEFAULT_ITER;
-# ifndef OPENSSL_NO_RC2
+#ifndef OPENSSL_NO_RC2
int cert_pbe = NID_pbe_WithSHA1And40BitRC2_CBC;
-# else
+#else
int cert_pbe = NID_pbe_WithSHA1And3_Key_TripleDES_CBC;
-# endif
+#endif
int key_pbe = NID_pbe_WithSHA1And3_Key_TripleDES_CBC;
int ret = 1, macver = 1, add_lmk = 0, private = 0;
int noprompt = 0;
@@ -878,6 +875,38 @@ int cert_load(BIO *in, STACK_OF(X509) *sk)
return ret;
}
+/* Generalised x509 attribute value print */
+
+void print_attribute(BIO *out, const ASN1_TYPE *av)
+{
+ char *value;
+
+ switch (av->type) {
+ case V_ASN1_BMPSTRING:
+ value = OPENSSL_uni2asc(av->value.bmpstring->data,
+ av->value.bmpstring->length);
+ BIO_printf(out, "%s\n", value);
+ OPENSSL_free(value);
+ break;
+
+ case V_ASN1_OCTET_STRING:
+ hex_prin(out, av->value.octet_string->data,
+ av->value.octet_string->length);
+ BIO_printf(out, "\n");
+ break;
+
+ case V_ASN1_BIT_STRING:
+ hex_prin(out, av->value.bit_string->data,
+ av->value.bit_string->length);
+ BIO_printf(out, "\n");
+ break;
+
+ default:
+ BIO_printf(out, "<Unsupported tag %d>\n", av->type);
+ break;
+ }
+}
+
/* Generalised attribute print: handle PKCS#8 and bag attributes */
int print_attribs(BIO *out, const STACK_OF(X509_ATTRIBUTE) *attrlst,
@@ -885,8 +914,7 @@ int print_attribs(BIO *out, const STACK_OF(X509_ATTRIBUTE) *attrlst,
{
X509_ATTRIBUTE *attr;
ASN1_TYPE *av;
- char *value;
- int i, attr_nid;
+ int i, j, attr_nid;
if (!attrlst) {
BIO_printf(out, "%s: <No Attributes>\n", name);
return 1;
@@ -910,30 +938,10 @@ int print_attribs(BIO *out, const STACK_OF(X509_ATTRIBUTE) *attrlst,
}
if (X509_ATTRIBUTE_count(attr)) {
- av = X509_ATTRIBUTE_get0_type(attr, 0);
- switch (av->type) {
- case V_ASN1_BMPSTRING:
- value = OPENSSL_uni2asc(av->value.bmpstring->data,
- av->value.bmpstring->length);
- BIO_printf(out, "%s\n", value);
- OPENSSL_free(value);
- break;
-
- case V_ASN1_OCTET_STRING:
- hex_prin(out, av->value.octet_string->data,
- av->value.octet_string->length);
- BIO_printf(out, "\n");
- break;
-
- case V_ASN1_BIT_STRING:
- hex_prin(out, av->value.bit_string->data,
- av->value.bit_string->length);
- BIO_printf(out, "\n");
- break;
-
- default:
- BIO_printf(out, "<Unsupported tag %d>\n", av->type);
- break;
+ for (j = 0; j < X509_ATTRIBUTE_count(attr); j++)
+ {
+ av = X509_ATTRIBUTE_get0_type(attr, j);
+ print_attribute(out, av);
}
} else {
BIO_printf(out, "<No Values>\n");
@@ -964,5 +972,3 @@ static int set_pbe(int *ppbe, const char *str)
}
return 1;
}
-
-#endif
diff --git a/apps/pkeyutl.c b/apps/pkeyutl.c
index 2c4e524b..831e14da 100644
--- a/apps/pkeyutl.c
+++ b/apps/pkeyutl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -299,8 +299,7 @@ int pkeyutl_main(int argc, char **argv)
/* Sanity check the input */
if (buf_inlen > EVP_MAX_MD_SIZE
&& (pkey_op == EVP_PKEY_OP_SIGN
- || pkey_op == EVP_PKEY_OP_VERIFY
- || pkey_op == EVP_PKEY_OP_VERIFYRECOVER)) {
+ || pkey_op == EVP_PKEY_OP_VERIFY)) {
BIO_printf(bio_err,
"Error: The input data looks too long to be a hash\n");
goto end;
diff --git a/apps/rehash.c b/apps/rehash.c
index 2b769fbc..fc1dffe9 100644
--- a/apps/rehash.c
+++ b/apps/rehash.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2013-2014 Timo Teräs <timo.teras@gmail.com>
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -274,11 +274,19 @@ static int do_file(const char *filename, const char *fullpath, enum Hash h)
if (x->x509 != NULL) {
type = TYPE_CERT;
name = X509_get_subject_name(x->x509);
- X509_digest(x->x509, evpmd, digest, NULL);
+ if (!X509_digest(x->x509, evpmd, digest, NULL)) {
+ BIO_printf(bio_err, "out of memory\n");
+ ++errs;
+ goto end;
+ }
} else if (x->crl != NULL) {
type = TYPE_CRL;
name = X509_CRL_get_issuer(x->crl);
- X509_CRL_digest(x->crl, evpmd, digest, NULL);
+ if (!X509_CRL_digest(x->crl, evpmd, digest, NULL)) {
+ BIO_printf(bio_err, "out of memory\n");
+ ++errs;
+ goto end;
+ }
} else {
++errs;
goto end;
diff --git a/apps/req.c b/apps/req.c
index f9d6fba1..a603907c 100644
--- a/apps/req.c
+++ b/apps/req.c
@@ -200,9 +200,12 @@ static int duplicated(LHASH_OF(OPENSSL_STRING) *addexts, char *kv)
*p = '\0';
/* Finally have a clean "key"; see if it's there [by attempt to add it]. */
- if ((p = (char *)lh_OPENSSL_STRING_insert(addexts, (OPENSSL_STRING*)kv))
- != NULL || lh_OPENSSL_STRING_error(addexts)) {
- OPENSSL_free(p != NULL ? p : kv);
+ p = (char *)lh_OPENSSL_STRING_insert(addexts, (OPENSSL_STRING*)kv);
+ if (p != NULL) {
+ OPENSSL_free(p);
+ return 1;
+ } else if (lh_OPENSSL_STRING_error(addexts)) {
+ OPENSSL_free(kv);
return -1;
}
@@ -435,12 +438,14 @@ int req_main(int argc, char **argv)
if (verbose)
BIO_printf(bio_err, "Using configuration from %s\n", template);
- req_conf = app_load_config(template);
+ if ((req_conf = app_load_config(template)) == NULL)
+ goto end;
if (addext_bio) {
if (verbose)
BIO_printf(bio_err,
"Using additional configuration from command line\n");
- addext_conf = app_load_config_bio(addext_bio, NULL);
+ if ((addext_conf = app_load_config_bio(addext_bio, NULL)) == NULL)
+ goto end;
}
if (template != default_config_file && !app_load_modules(req_conf))
goto end;
diff --git a/apps/rsa.c b/apps/rsa.c
index fdd02dce..aeda917c 100644
--- a/apps/rsa.c
+++ b/apps/rsa.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,23 +8,19 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_RSA
-NON_EMPTY_TRANSLATION_UNIT
-#else
-
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include <time.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/rsa.h>
-# include <openssl/evp.h>
-# include <openssl/x509.h>
-# include <openssl/pem.h>
-# include <openssl/bn.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/rsa.h>
+#include <openssl/evp.h>
+#include <openssl/x509.h>
+#include <openssl/pem.h>
+#include <openssl/bn.h>
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -53,14 +49,14 @@ const OPTIONS rsa_options[] = {
{"modulus", OPT_MODULUS, '-', "Print the RSA key modulus"},
{"check", OPT_CHECK, '-', "Verify key consistency"},
{"", OPT_CIPHER, '-', "Any supported cipher"},
-# if !defined(OPENSSL_NO_DSA) && !defined(OPENSSL_NO_RC4)
+#if !defined(OPENSSL_NO_DSA) && !defined(OPENSSL_NO_RC4)
{"pvk-strong", OPT_PVK_STRONG, '-', "Enable 'Strong' PVK encoding level (default)"},
{"pvk-weak", OPT_PVK_WEAK, '-', "Enable 'Weak' PVK encoding level"},
{"pvk-none", OPT_PVK_NONE, '-', "Don't enforce PVK encoding"},
-# endif
-# ifndef OPENSSL_NO_ENGINE
+#endif
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -75,9 +71,9 @@ int rsa_main(int argc, char **argv)
int i, private = 0;
int informat = FORMAT_PEM, outformat = FORMAT_PEM, text = 0, check = 0;
int noout = 0, modulus = 0, pubin = 0, pubout = 0, ret = 1;
-# if !defined(OPENSSL_NO_DSA) && !defined(OPENSSL_NO_RC4)
+#if !defined(OPENSSL_NO_DSA) && !defined(OPENSSL_NO_RC4)
int pvk_encr = 2;
-# endif
+#endif
OPTION_CHOICE o;
prog = opt_init(argc, argv, rsa_options);
@@ -130,9 +126,9 @@ int rsa_main(int argc, char **argv)
case OPT_PVK_STRONG: /* pvk_encr:= 2 */
case OPT_PVK_WEAK: /* pvk_encr:= 1 */
case OPT_PVK_NONE: /* pvk_encr:= 0 */
-# if !defined(OPENSSL_NO_DSA) && !defined(OPENSSL_NO_RC4)
+#if !defined(OPENSSL_NO_DSA) && !defined(OPENSSL_NO_RC4)
pvk_encr = (o - OPT_PVK_NONE);
-# endif
+#endif
break;
case OPT_NOOUT:
noout = 1;
@@ -265,7 +261,7 @@ int rsa_main(int argc, char **argv)
i = PEM_write_bio_RSAPrivateKey(out, rsa,
enc, NULL, 0, NULL, passout);
}
-# ifndef OPENSSL_NO_DSA
+#ifndef OPENSSL_NO_DSA
} else if (outformat == FORMAT_MSBLOB || outformat == FORMAT_PVK) {
EVP_PKEY *pk;
pk = EVP_PKEY_new();
@@ -280,13 +276,13 @@ int rsa_main(int argc, char **argv)
goto end;
}
assert(private);
-# ifdef OPENSSL_NO_RC4
+# ifdef OPENSSL_NO_RC4
BIO_printf(bio_err, "PVK format not supported\n");
EVP_PKEY_free(pk);
goto end;
-# else
+# else
i = i2b_PVK_bio(out, pk, pvk_encr, 0, passout);
-# endif
+# endif
} else if (pubin || pubout) {
i = i2b_PublicKey_bio(out, pk);
} else {
@@ -294,7 +290,7 @@ int rsa_main(int argc, char **argv)
i = i2b_PrivateKey_bio(out, pk);
}
EVP_PKEY_free(pk);
-# endif
+#endif
} else {
BIO_printf(bio_err, "bad output format specified for outfile\n");
goto end;
@@ -313,4 +309,3 @@ int rsa_main(int argc, char **argv)
OPENSSL_free(passout);
return ret;
}
-#endif
diff --git a/apps/rsa8192.pem b/apps/rsa8192.pem
index 946a6e54..83d962f4 100644
--- a/apps/rsa8192.pem
+++ b/apps/rsa8192.pem
@@ -1,5 +1,4 @@
-----BEGIN RSA PRIVATE KEY-----
-
MIISKAIBAAKCBAEAiQ2f1X6Bte1DKD0OoCBKEikzPW+5w3oXk3WwnE97Wxzy6wJZ
ebbZC3CZKKBnJeBMrysPf+lK+9+fP6Vm8bp1wvbcSIA59BDrX6irFSuM/bdnkbuF
MFlDjt+uVrxwoyqfPi2IPot1HQg3l5mdyBqcTWvbOnU2L9HZxJfPUCjfzdTMPrMY
@@ -62,7 +61,7 @@ JH1/Qx7C/mTAMRsN5SkOthnGq0djCNWfPv/3JV0H67Uf5krFlnwLebrgfTYoPPdo
yO7iBUNJzv6Qh22malLp4P8gzACkD7DGlSTnoB5cLwcjmDGg+i9WrUBbOiVTeQfZ
kOj1o+Tz35ndpq/DDUVlqliB9krcxva+QHeJPH53EGI+YVg1nD+s/vUDZ3mQMGX9
DQou2L8uU6RnWNv/BihGcL8QvS4Ty6QyPOUPpD3zc70JQAEcQk9BxQNaELgJX0IN
-22cYn22tYvElew9G41OpDqzBRcfbdJmKXQ2HcroShutYJQRGUpAXHk24fy6JVkIU
+2cYUn22tYvElew9G41OpDqzBRcfbdJmKXQ2HcroShutYJQRGUpAXHk24fy6JVkIU
ojF5U6cwextMja1ZIIZgh9eugIRUeIE7319nQNDzuXWjRCcoBLA25P7wnpHWDRpz
D9ovXCIvdja74lL5psqobV6L5+fbLPkSgXoImKR0LQKCAgAIC9Jk8kxumCyIVGCP
PeM5Uby9M3GMuKrfYsn0Y5e97+kSJF1dpojTodBgR2KQar6eVrvXt+8uZCcIjfx8
@@ -98,4 +97,3 @@ TwEgE67iOb2iIoUpon/NyP4LesMzvdpsu2JFlfz13PmmQ34mFI7tWvOb3NA5DP3c
rMlMLtKfp2w8HlMZpsUlToNCx6CI+tJrohzcs3BAVAbjFAXRKWGijB1rxwyDdHPv
I+/wJTNaRNPQ1M0SwtEL/zJd21y3KSPn4eL+GP3efhlDSjtlDvZqkdAUsU8=
-----END RSA PRIVATE KEY-----
-
diff --git a/apps/rsautl.c b/apps/rsautl.c
index 5da8504d..0c0fa8eb 100644
--- a/apps/rsautl.c
+++ b/apps/rsautl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,25 +8,21 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_RSA
-NON_EMPTY_TRANSLATION_UNIT
-#else
+#include "apps.h"
+#include "progs.h"
+#include <string.h>
+#include <openssl/err.h>
+#include <openssl/pem.h>
+#include <openssl/rsa.h>
-# include "apps.h"
-# include "progs.h"
-# include <string.h>
-# include <openssl/err.h>
-# include <openssl/pem.h>
-# include <openssl/rsa.h>
+#define RSA_SIGN 1
+#define RSA_VERIFY 2
+#define RSA_ENCRYPT 3
+#define RSA_DECRYPT 4
-# define RSA_SIGN 1
-# define RSA_VERIFY 2
-# define RSA_ENCRYPT 3
-# define RSA_DECRYPT 4
-
-# define KEY_PRIVKEY 1
-# define KEY_PUBKEY 2
-# define KEY_CERT 3
+#define KEY_PRIVKEY 1
+#define KEY_PUBKEY 2
+#define KEY_CERT 3
typedef enum OPTION_choice {
OPT_ERR = -1, OPT_EOF = 0, OPT_HELP,
@@ -60,9 +56,9 @@ const OPTIONS rsautl_options[] = {
{"decrypt", OPT_DECRYPT, '-', "Decrypt with private key"},
{"passin", OPT_PASSIN, 's', "Input file pass phrase source"},
OPT_R_OPTIONS,
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -279,4 +275,3 @@ int rsautl_main(int argc, char **argv)
OPENSSL_free(passin);
return ret;
}
-#endif
diff --git a/apps/s_cb.c b/apps/s_cb.c
index 5dc1d03f..6406ddfb 100644
--- a/apps/s_cb.c
+++ b/apps/s_cb.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -188,6 +188,7 @@ static STRINT_PAIR cert_type_list[] = {
{"RSA fixed ECDH", TLS_CT_RSA_FIXED_ECDH},
{"ECDSA fixed ECDH", TLS_CT_ECDSA_FIXED_ECDH},
{"GOST01 Sign", TLS_CT_GOST01_SIGN},
+ {"GOST12 Sign", TLS_CT_GOST12_SIGN},
{NULL}
};
diff --git a/apps/s_client.c b/apps/s_client.c
index 26a6789d..83b3fc9c 100644
--- a/apps/s_client.c
+++ b/apps/s_client.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2005 Nokia. All rights reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -1283,22 +1283,42 @@ int s_client_main(int argc, char **argv)
case OPT_SSL3:
min_version = SSL3_VERSION;
max_version = SSL3_VERSION;
+ socket_type = SOCK_STREAM;
+#ifndef OPENSSL_NO_DTLS
+ isdtls = 0;
+#endif
break;
case OPT_TLS1_3:
min_version = TLS1_3_VERSION;
max_version = TLS1_3_VERSION;
+ socket_type = SOCK_STREAM;
+#ifndef OPENSSL_NO_DTLS
+ isdtls = 0;
+#endif
break;
case OPT_TLS1_2:
min_version = TLS1_2_VERSION;
max_version = TLS1_2_VERSION;
+ socket_type = SOCK_STREAM;
+#ifndef OPENSSL_NO_DTLS
+ isdtls = 0;
+#endif
break;
case OPT_TLS1_1:
min_version = TLS1_1_VERSION;
max_version = TLS1_1_VERSION;
+ socket_type = SOCK_STREAM;
+#ifndef OPENSSL_NO_DTLS
+ isdtls = 0;
+#endif
break;
case OPT_TLS1:
min_version = TLS1_VERSION;
max_version = TLS1_VERSION;
+ socket_type = SOCK_STREAM;
+#ifndef OPENSSL_NO_DTLS
+ isdtls = 0;
+#endif
break;
case OPT_DTLS:
#ifndef OPENSSL_NO_DTLS
diff --git a/apps/s_server.c b/apps/s_server.c
index 929a08bd..0ba75999 100644
--- a/apps/s_server.c
+++ b/apps/s_server.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -180,9 +180,6 @@ static unsigned int psk_server_cb(SSL *ssl, const char *identity,
}
#endif
-#define TLS13_AES_128_GCM_SHA256_BYTES ((const unsigned char *)"\x13\x01")
-#define TLS13_AES_256_GCM_SHA384_BYTES ((const unsigned char *)"\x13\x02")
-
static int psk_find_session_cb(SSL *ssl, const unsigned char *identity,
size_t identity_len, SSL_SESSION **sess)
{
@@ -1907,7 +1904,7 @@ int s_server_main(int argc, char *argv[])
BIO_printf(bio_s_out, "Setting secondary ctx parameters\n");
if (sdebug)
- ssl_ctx_security_debug(ctx, sdebug);
+ ssl_ctx_security_debug(ctx2, sdebug);
if (session_id_prefix) {
if (strlen(session_id_prefix) >= 32)
@@ -3208,6 +3205,12 @@ static int www_body(int s, int stype, int prot, unsigned char *context)
if (e[0] == ' ')
break;
+ if (e[0] == ':') {
+ /* Windows drive. We treat this the same way as ".." */
+ dot = -1;
+ break;
+ }
+
switch (dot) {
case 1:
dot = (e[0] == '.') ? 2 : 0;
@@ -3216,11 +3219,11 @@ static int www_body(int s, int stype, int prot, unsigned char *context)
dot = (e[0] == '.') ? 3 : 0;
break;
case 3:
- dot = (e[0] == '/') ? -1 : 0;
+ dot = (e[0] == '/' || e[0] == '\\') ? -1 : 0;
break;
}
if (dot == 0)
- dot = (e[0] == '/') ? 1 : 0;
+ dot = (e[0] == '/' || e[0] == '\\') ? 1 : 0;
}
dot = (dot == 3) || (dot == -1); /* filename contains ".."
* component */
@@ -3234,11 +3237,11 @@ static int www_body(int s, int stype, int prot, unsigned char *context)
if (dot) {
BIO_puts(io, text);
- BIO_printf(io, "'%s' contains '..' reference\r\n", p);
+ BIO_printf(io, "'%s' contains '..' or ':'\r\n", p);
break;
}
- if (*p == '/') {
+ if (*p == '/' || *p == '\\') {
BIO_puts(io, text);
BIO_printf(io, "'%s' is an invalid path\r\n", p);
break;
diff --git a/apps/s_time.c b/apps/s_time.c
index 82d40a5a..628e65b2 100644
--- a/apps/s_time.c
+++ b/apps/s_time.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -62,6 +62,7 @@ const OPTIONS s_time_options[] = {
{"key", OPT_KEY, '<', "File with key, PEM; default is -cert file"},
{"CApath", OPT_CAPATH, '/', "PEM format directory of CA's"},
{"cafile", OPT_CAFILE, '<', "PEM format file of CA's"},
+ {"CAfile", OPT_CAFILE, '<', "PEM format file of CA's"},
{"no-CAfile", OPT_NOCAFILE, '-',
"Do not load the default certificates file"},
{"no-CApath", OPT_NOCAPATH, '-',
diff --git a/apps/server.pem b/apps/server.pem
index d0fc265f..b3807591 100644
--- a/apps/server.pem
+++ b/apps/server.pem
@@ -1,52 +1,47 @@
-subject= C = UK, O = OpenSSL Group, OU = FOR TESTING PURPOSES ONLY, CN = Test Server Cert
-issuer= C = UK, O = OpenSSL Group, OU = FOR TESTING PURPOSES ONLY, CN = OpenSSL Test Intermediate CA
-----BEGIN CERTIFICATE-----
-MIID5zCCAs+gAwIBAgIJALnu1NlVpZ6zMA0GCSqGSIb3DQEBBQUAMHAxCzAJBgNV
-BAYTAlVLMRYwFAYDVQQKDA1PcGVuU1NMIEdyb3VwMSIwIAYDVQQLDBlGT1IgVEVT
-VElORyBQVVJQT1NFUyBPTkxZMSUwIwYDVQQDDBxPcGVuU1NMIFRlc3QgSW50ZXJt
-ZWRpYXRlIENBMB4XDTExMTIwODE0MDE0OFoXDTIxMTAxNjE0MDE0OFowZDELMAkG
-A1UEBhMCVUsxFjAUBgNVBAoMDU9wZW5TU0wgR3JvdXAxIjAgBgNVBAsMGUZPUiBU
-RVNUSU5HIFBVUlBPU0VTIE9OTFkxGTAXBgNVBAMMEFRlc3QgU2VydmVyIENlcnQw
-ggEiMA0GCSqGSIb3DQEBAQUAA4IBDwAwggEKAoIBAQDzhPOSNtyyRspmeuUpxfNJ
-KCLTuf7g3uQ4zu4iHOmRO5TQci+HhVlLZrHF9XqFXcIP0y4pWDbMSGuiorUmzmfi
-R7bfSdI/+qIQt8KXRH6HNG1t8ou0VSvWId5TS5Dq/er5ODUr9OaaDva7EquHIcMv
-vPQGuI+OEAcnleVCy9HVEIySrO4P3CNIicnGkwwiAud05yUAq/gPXBC1hTtmlPD7
-TVcGVSEiJdvzqqlgv02qedGrkki6GY4S7GjZxrrf7Foc2EP+51LJzwLQx3/JfrCU
-41NEWAsu/Sl0tQabXESN+zJ1pDqoZ3uHMgpQjeGiE0olr+YcsSW/tJmiU9OiAr8R
-AgMBAAGjgY8wgYwwDAYDVR0TAQH/BAIwADAOBgNVHQ8BAf8EBAMCBeAwLAYJYIZI
-AYb4QgENBB8WHU9wZW5TU0wgR2VuZXJhdGVkIENlcnRpZmljYXRlMB0GA1UdDgQW
-BBSCvM8AABPR9zklmifnr9LvIBturDAfBgNVHSMEGDAWgBQ2w2yI55X+sL3szj49
-hqshgYfa2jANBgkqhkiG9w0BAQUFAAOCAQEAqb1NV0B0/pbpK9Z4/bNjzPQLTRLK
-WnSNm/Jh5v0GEUOE/Beg7GNjNrmeNmqxAlpqWz9qoeoFZax+QBpIZYjROU3TS3fp
-yLsrnlr0CDQ5R7kCCDGa8dkXxemmpZZLbUCpW2Uoy8sAA4JjN9OtsZY7dvUXFgJ7
-vVNTRnI01ghknbtD+2SxSQd3CWF6QhcRMAzZJ1z1cbbwGDDzfvGFPzJ+Sq+zEPds
-xoVLLSetCiBc+40ZcDS5dV98h9XD7JMTQfxzA7mNGv73JoZJA6nFgj+ADSlJsY/t
-JBv+z1iQRueoh9Qeee+ZbRifPouCB8FDx+AltvHTANdAq0t/K3o+pplMVA==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-----END CERTIFICATE-----
------BEGIN RSA PRIVATE KEY-----
-MIIEpAIBAAKCAQEA84TzkjbcskbKZnrlKcXzSSgi07n+4N7kOM7uIhzpkTuU0HIv
-h4VZS2axxfV6hV3CD9MuKVg2zEhroqK1Js5n4ke230nSP/qiELfCl0R+hzRtbfKL
-tFUr1iHeU0uQ6v3q+Tg1K/Tmmg72uxKrhyHDL7z0BriPjhAHJ5XlQsvR1RCMkqzu
-D9wjSInJxpMMIgLndOclAKv4D1wQtYU7ZpTw+01XBlUhIiXb86qpYL9NqnnRq5JI
-uhmOEuxo2ca63+xaHNhD/udSyc8C0Md/yX6wlONTRFgLLv0pdLUGm1xEjfsydaQ6
-qGd7hzIKUI3hohNKJa/mHLElv7SZolPTogK/EQIDAQABAoIBAADq9FwNtuE5IRQn
-zGtO4q7Y5uCzZ8GDNYr9RKp+P2cbuWDbvVAecYq2NV9QoIiWJOAYZKklOvekIju3
-r0UZLA0PRiIrTg6NrESx3JrjWDK8QNlUO7CPTZ39/K+FrmMkV9lem9yxjJjyC34D
-AQB+YRTx+l14HppjdxNwHjAVQpIx/uO2F5xAMuk32+3K+pq9CZUtrofe1q4Agj9R
-5s8mSy9pbRo9kW9wl5xdEotz1LivFOEiqPUJTUq5J5PeMKao3vdK726XI4Z455Nm
-W2/MA0YV0ug2FYinHcZdvKM6dimH8GLfa3X8xKRfzjGjTiMSwsdjgMa4awY3tEHH
-674jhAECgYEA/zqMrc0zsbNk83sjgaYIug5kzEpN4ic020rSZsmQxSCerJTgNhmg
-utKSCt0Re09Jt3LqG48msahX8ycqDsHNvlEGPQSbMu9IYeO3Wr3fAm75GEtFWePY
-BhM73I7gkRt4s8bUiUepMG/wY45c5tRF23xi8foReHFFe9MDzh8fJFECgYEA9EFX
-4qAik1pOJGNei9BMwmx0I0gfVEIgu0tzeVqT45vcxbxr7RkTEaDoAG6PlbWP6D9a
-WQNLp4gsgRM90ZXOJ4up5DsAWDluvaF4/omabMA+MJJ5kGZ0gCj5rbZbKqUws7x8
-bp+6iBfUPJUbcqNqFmi/08Yt7vrDnMnyMw2A/sECgYEAiiuRMxnuzVm34hQcsbhH
-6ymVqf7j0PW2qK0F4H1ocT9qhzWFd+RB3kHWrCjnqODQoI6GbGr/4JepHUpre1ex
-4UEN5oSS3G0ru0rC3U4C59dZ5KwDHFm7ffZ1pr52ljfQDUsrjjIMRtuiwNK2OoRa
-WSsqiaL+SDzSB+nBmpnAizECgYBdt/y6rerWUx4MhDwwtTnel7JwHyo2MDFS6/5g
-n8qC2Lj6/fMDRE22w+CA2esp7EJNQJGv+b27iFpbJEDh+/Lf5YzIT4MwVskQ5bYB
-JFcmRxUVmf4e09D7o705U/DjCgMH09iCsbLmqQ38ONIRSHZaJtMDtNTHD1yi+jF+
-OT43gQKBgQC/2OHZoko6iRlNOAQ/tMVFNq7fL81GivoQ9F1U0Qr+DH3ZfaH8eIkX
-xT0ToMPJUzWAn8pZv0snA0um6SIgvkCuxO84OkANCVbttzXImIsL7pFzfcwV/ERK
-UM6j0ZuSMFOCr/lGPAoOQU0fskidGEHi1/kW+suSr28TqsyYZpwBDQ==
------END RSA PRIVATE KEY-----
+-----BEGIN PRIVATE KEY-----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+-----END PRIVATE KEY-----
diff --git a/apps/speed.c b/apps/speed.c
index 20149506..d4ae7ab7 100644
--- a/apps/speed.c
+++ b/apps/speed.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -1242,8 +1242,6 @@ static int run_benchmark(int async_jobs,
OSSL_ASYNC_FD job_fd = 0;
size_t num_job_fds = 0;
- run = 1;
-
if (async_jobs == 0) {
return loop_function((void *)&loopargs);
}
@@ -2412,7 +2410,7 @@ int speed_main(int argc, char **argv)
print_message(names[D_CBC_128_CML], c[D_CBC_128_CML][testnum],
lengths[testnum], seconds.sym);
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_128_CML][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_128_CML][testnum]); count++)
Camellia_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &camellia_ks1,
iv, CAMELLIA_ENCRYPT);
@@ -2434,7 +2432,7 @@ int speed_main(int argc, char **argv)
exit(1);
}
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_192_CML][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_192_CML][testnum]); count++)
Camellia_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &camellia_ks2,
iv, CAMELLIA_ENCRYPT);
@@ -2452,7 +2450,7 @@ int speed_main(int argc, char **argv)
print_message(names[D_CBC_256_CML], c[D_CBC_256_CML][testnum],
lengths[testnum], seconds.sym);
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_256_CML][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_256_CML][testnum]); count++)
Camellia_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &camellia_ks3,
iv, CAMELLIA_ENCRYPT);
@@ -2472,7 +2470,7 @@ int speed_main(int argc, char **argv)
print_message(names[D_CBC_IDEA], c[D_CBC_IDEA][testnum],
lengths[testnum], seconds.sym);
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_IDEA][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_IDEA][testnum]); count++)
IDEA_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &idea_ks,
iv, IDEA_ENCRYPT);
@@ -2492,7 +2490,7 @@ int speed_main(int argc, char **argv)
print_message(names[D_CBC_SEED], c[D_CBC_SEED][testnum],
lengths[testnum], seconds.sym);
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_SEED][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_SEED][testnum]); count++)
SEED_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &seed_ks, iv, 1);
d = Time_F(STOP);
@@ -2515,7 +2513,7 @@ int speed_main(int argc, char **argv)
exit(1);
}
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_RC2][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_RC2][testnum]); count++)
RC2_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &rc2_ks,
iv, RC2_ENCRYPT);
@@ -2539,7 +2537,7 @@ int speed_main(int argc, char **argv)
exit(1);
}
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_RC5][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_RC5][testnum]); count++)
RC5_32_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &rc5_ks,
iv, RC5_ENCRYPT);
@@ -2559,7 +2557,7 @@ int speed_main(int argc, char **argv)
print_message(names[D_CBC_BF], c[D_CBC_BF][testnum],
lengths[testnum], seconds.sym);
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_BF][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_BF][testnum]); count++)
BF_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &bf_ks,
iv, BF_ENCRYPT);
@@ -2579,7 +2577,7 @@ int speed_main(int argc, char **argv)
print_message(names[D_CBC_CAST], c[D_CBC_CAST][testnum],
lengths[testnum], seconds.sym);
Time_F(START);
- for (count = 0, run = 1; COND(c[D_CBC_CAST][testnum]); count++)
+ for (count = 0; COND(c[D_CBC_CAST][testnum]); count++)
CAST_cbc_encrypt(loopargs[0].buf, loopargs[0].buf,
(size_t)lengths[testnum], &cast_ks,
iv, CAST_ENCRYPT);
@@ -3006,7 +3004,7 @@ int speed_main(int argc, char **argv)
pctx = NULL;
}
if (kctx == NULL || /* keygen ctx is not null */
- !EVP_PKEY_keygen_init(kctx) /* init keygen ctx */ ) {
+ EVP_PKEY_keygen_init(kctx) <= 0/* init keygen ctx */ ) {
ecdh_checks = 0;
BIO_printf(bio_err, "ECDH keygen failure.\n");
ERR_print_errors(bio_err);
@@ -3014,12 +3012,12 @@ int speed_main(int argc, char **argv)
break;
}
- if (!EVP_PKEY_keygen(kctx, &key_A) || /* generate secret key A */
- !EVP_PKEY_keygen(kctx, &key_B) || /* generate secret key B */
+ if (EVP_PKEY_keygen(kctx, &key_A) <= 0 || /* generate secret key A */
+ EVP_PKEY_keygen(kctx, &key_B) <= 0 || /* generate secret key B */
!(ctx = EVP_PKEY_CTX_new(key_A, NULL)) || /* derivation ctx from skeyA */
- !EVP_PKEY_derive_init(ctx) || /* init derivation ctx */
- !EVP_PKEY_derive_set_peer(ctx, key_B) || /* set peer pubkey in ctx */
- !EVP_PKEY_derive(ctx, NULL, &outlen) || /* determine max length */
+ EVP_PKEY_derive_init(ctx) <= 0 || /* init derivation ctx */
+ EVP_PKEY_derive_set_peer(ctx, key_B) <= 0 || /* set peer pubkey in ctx */
+ EVP_PKEY_derive(ctx, NULL, &outlen) <= 0 || /* determine max length */
outlen == 0 || /* ensure outlen is a valid size */
outlen > MAX_ECDH_SIZE /* avoid buffer overflow */ ) {
ecdh_checks = 0;
@@ -3106,8 +3104,8 @@ int speed_main(int argc, char **argv)
if ((ed_pctx = EVP_PKEY_CTX_new_id(test_ed_curves[testnum].nid, NULL))
== NULL
- || !EVP_PKEY_keygen_init(ed_pctx)
- || !EVP_PKEY_keygen(ed_pctx, &ed_pkey)) {
+ || EVP_PKEY_keygen_init(ed_pctx) <= 0
+ || EVP_PKEY_keygen(ed_pctx, &ed_pkey) <= 0) {
st = 0;
EVP_PKEY_CTX_free(ed_pctx);
break;
@@ -3395,6 +3393,7 @@ static void print_message(const char *s, long num, int length, int tm)
mr ? "+DT:%s:%d:%d\n"
: "Doing %s for %ds on %d size blocks: ", s, tm, length);
(void)BIO_flush(bio_err);
+ run = 1;
alarm(tm);
#else
BIO_printf(bio_err,
@@ -3412,6 +3411,7 @@ static void pkey_print_message(const char *str, const char *str2, long num,
mr ? "+DTP:%d:%s:%s:%d\n"
: "Doing %u bits %s %s's for %ds: ", bits, str, str2, tm);
(void)BIO_flush(bio_err);
+ run = 1;
alarm(tm);
#else
BIO_printf(bio_err,
@@ -3584,6 +3584,7 @@ static int do_multi(int multi, int size_num)
p = buf + 4;
k = atoi(sstrsep(&p, sep));
sstrsep(&p, sep);
+ sstrsep(&p, sep);
d = atof(sstrsep(&p, sep));
eddsa_results[k][0] += d;
@@ -3641,7 +3642,7 @@ static void multiblock_speed(const EVP_CIPHER *evp_cipher, int lengths_single,
for (j = 0; j < num; j++) {
print_message(alg_name, 0, mblengths[j], seconds->sym);
Time_F(START);
- for (count = 0, run = 1; run && count < 0x7fffffff; count++) {
+ for (count = 0; run && count < 0x7fffffff; count++) {
unsigned char aad[EVP_AEAD_TLS1_AAD_LEN];
EVP_CTRL_TLS1_1_MULTIBLOCK_PARAM mb_param;
size_t len = mblengths[j];
diff --git a/apps/srp.c b/apps/srp.c
index 689574a4..6c581738 100644
--- a/apps/srp.c
+++ b/apps/srp.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2004-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2004, EdelKey Project. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -12,28 +12,24 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_SRP
-NON_EMPTY_TRANSLATION_UNIT
-#else
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <openssl/conf.h>
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/txt_db.h>
+#include <openssl/buffer.h>
+#include <openssl/srp.h>
+#include "apps.h"
+#include "progs.h"
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include <openssl/conf.h>
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/txt_db.h>
-# include <openssl/buffer.h>
-# include <openssl/srp.h>
-# include "apps.h"
-# include "progs.h"
+#define BASE_SECTION "srp"
+#define CONFIG_FILE "openssl.cnf"
-# define BASE_SECTION "srp"
-# define CONFIG_FILE "openssl.cnf"
-
-# define ENV_DATABASE "srpvfile"
-# define ENV_DEFAULT_SRP "default_srp"
+#define ENV_DATABASE "srpvfile"
+#define ENV_DEFAULT_SRP "default_srp"
static int get_index(CA_DB *db, char *id, char type)
{
@@ -212,9 +208,9 @@ const OPTIONS srp_options[] = {
{"passin", OPT_PASSIN, 's', "Input file pass phrase source"},
{"passout", OPT_PASSOUT, 's', "Output file pass phrase source"},
OPT_R_OPTIONS,
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{NULL}
};
@@ -610,4 +606,3 @@ int srp_main(int argc, char **argv)
release_engine(e);
return ret;
}
-#endif
diff --git a/apps/timeouts.h b/apps/timeouts.h
index e023b0aa..7e606cba 100644
--- a/apps/timeouts.h
+++ b/apps/timeouts.h
@@ -7,11 +7,11 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef INCLUDED_TIMEOUTS_H
-# define INCLUDED_TIMEOUTS_H
+#ifndef OSSL_APPS_TIMEOUTS_H
+# define OSSL_APPS_TIMEOUTS_H
/* numbers in us */
# define DGRAM_RCV_TIMEOUT 250000
# define DGRAM_SND_TIMEOUT 250000
-#endif /* ! INCLUDED_TIMEOUTS_H */
+#endif /* ! OSSL_APPS_TIMEOUTS_H */
diff --git a/apps/ts.c b/apps/ts.c
index 930c1daa..66a0c810 100644
--- a/apps/ts.c
+++ b/apps/ts.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,29 +8,26 @@
*/
#include <openssl/opensslconf.h>
-#ifdef OPENSSL_NO_TS
-NON_EMPTY_TRANSLATION_UNIT
-#else
-# include <stdio.h>
-# include <stdlib.h>
-# include <string.h>
-# include "apps.h"
-# include "progs.h"
-# include <openssl/bio.h>
-# include <openssl/err.h>
-# include <openssl/pem.h>
-# include <openssl/rand.h>
-# include <openssl/ts.h>
-# include <openssl/bn.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "apps.h"
+#include "progs.h"
+#include <openssl/bio.h>
+#include <openssl/err.h>
+#include <openssl/pem.h>
+#include <openssl/rand.h>
+#include <openssl/ts.h>
+#include <openssl/bn.h>
/* Request nonce length, in bits (must be a multiple of 8). */
-# define NONCE_LENGTH 64
+#define NONCE_LENGTH 64
/* Name of config entry that defines the OID file. */
-# define ENV_OID_FILE "oid_file"
+#define ENV_OID_FILE "oid_file"
/* Is |EXACTLY_ONE| of three pointers set? */
-# define EXACTLY_ONE(a, b, c) \
+#define EXACTLY_ONE(a, b, c) \
(( a && !b && !c) || \
( b && !a && !c) || \
( c && !a && !b))
@@ -114,9 +111,9 @@ const OPTIONS ts_options[] = {
{"CAfile", OPT_CAFILE, '<', "File with trusted CA certs"},
{"untrusted", OPT_UNTRUSTED, '<', "File with untrusted certs"},
{"", OPT_MD, '-', "Any supported digest"},
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
-# endif
+#endif
{OPT_HELP_STR, 1, '-', "\nOptions specific to 'ts -verify': \n"},
OPT_V_OPTIONS,
{OPT_HELP_STR, 1, '-', "\n"},
@@ -137,11 +134,11 @@ static char* opt_helplist[] = {
" [-signer tsa_cert.pem] [-inkey private_key.pem]",
" [-chain certs_file.pem] [-tspolicy oid]",
" [-in file] [-token_in] [-out file] [-token_out]",
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
" [-text] [-engine id]",
-# else
+#else
" [-text]",
-# endif
+#endif
" or",
"ts -verify -CApath dir -CAfile file.pem -untrusted file.pem",
" [-data file] [-digest hexstring]",
@@ -282,7 +279,8 @@ int ts_main(int argc, char **argv)
goto end;
}
- conf = load_config_file(configfile);
+ if ((conf = load_config_file(configfile)) == NULL)
+ goto end;
if (configfile != default_config_file && !app_load_modules(conf))
goto end;
@@ -681,10 +679,10 @@ static TS_RESP *create_response(CONF *conf, const char *section, const char *eng
goto end;
if (!TS_CONF_set_serial(conf, section, serial_cb, resp_ctx))
goto end;
-# ifndef OPENSSL_NO_ENGINE
+#ifndef OPENSSL_NO_ENGINE
if (!TS_CONF_set_crypto_device(conf, section, engine))
goto end;
-# endif
+#endif
if (!TS_CONF_set_signer_cert(conf, section, signer, resp_ctx))
goto end;
if (!TS_CONF_set_certs(conf, section, chain, resp_ctx))
@@ -983,4 +981,3 @@ static int verify_cb(int ok, X509_STORE_CTX *ctx)
{
return ok;
}
-#endif /* ndef OPENSSL_NO_TS */
diff --git a/apps/vms_term_sock.h b/apps/vms_term_sock.h
index c4d1702d..e092b18e 100644
--- a/apps/vms_term_sock.h
+++ b/apps/vms_term_sock.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef TERM_SOCK_H
-# define TERM_SOCK_H
+#ifndef OSSL_APPS_VMS_TERM_SOCK_H
+# define OSSL_APPS_VMS_TERM_SOCK_H
/*
** Terminal Socket Function Codes
diff --git a/apps/x509.c b/apps/x509.c
index 81291a9a..1043eba0 100644
--- a/apps/x509.c
+++ b/apps/x509.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -72,7 +72,7 @@ const OPTIONS x509_options[] = {
{"outform", OPT_OUTFORM, 'f',
"Output format - default PEM (one of DER or PEM)"},
{"out", OPT_OUT, '>', "Output file - default stdout"},
- {"keyform", OPT_KEYFORM, 'F', "Private key format - default PEM"},
+ {"keyform", OPT_KEYFORM, 'E', "Private key format - default PEM"},
{"passin", OPT_PASSIN, 's', "Private key password/pass-phrase source"},
{"serial", OPT_SERIAL, '-', "Print serial number value"},
{"subject_hash", OPT_HASH, '-', "Print subject hash value"},
@@ -107,7 +107,7 @@ const OPTIONS x509_options[] = {
{"checkend", OPT_CHECKEND, 'M',
"Check whether the cert expires in the next arg seconds"},
{OPT_MORE_STR, 1, 1, "Exit 1 if so, 0 if not"},
- {"signkey", OPT_SIGNKEY, '<', "Self sign cert with arg"},
+ {"signkey", OPT_SIGNKEY, 's', "Self sign cert with arg"},
{"x509toreq", OPT_X509TOREQ, '-',
"Output a certification request object"},
{"req", OPT_REQ, '-', "Input is a certificate request, sign and output"},
@@ -130,7 +130,7 @@ const OPTIONS x509_options[] = {
{"checkemail", OPT_CHECKEMAIL, 's', "Check certificate matches email"},
{"checkip", OPT_CHECKIP, 's', "Check certificate matches ipaddr"},
{"CAform", OPT_CAFORM, 'F', "CA format - default PEM"},
- {"CAkeyform", OPT_CAKEYFORM, 'f', "CA key format - default PEM"},
+ {"CAkeyform", OPT_CAKEYFORM, 'E', "CA key format - default PEM"},
{"sigopt", OPT_SIGOPT, 's', "Signature parameter in n:v form"},
{"force_pubkey", OPT_FORCE_PUBKEY, '<', "Force the Key to put inside certificate"},
{"next_serial", OPT_NEXT_SERIAL, '-', "Increment current certificate serial number"},
@@ -140,9 +140,9 @@ const OPTIONS x509_options[] = {
{"", OPT_MD, '-', "Any supported digest"},
#ifndef OPENSSL_NO_MD5
{"subject_hash_old", OPT_SUBJECT_HASH_OLD, '-',
- "Print old-style (MD5) issuer hash value"},
- {"issuer_hash_old", OPT_ISSUER_HASH_OLD, '-',
"Print old-style (MD5) subject hash value"},
+ {"issuer_hash_old", OPT_ISSUER_HASH_OLD, '-',
+ "Print old-style (MD5) issuer hash value"},
#endif
#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
@@ -217,7 +217,7 @@ int x509_main(int argc, char **argv)
goto opthelp;
break;
case OPT_KEYFORM:
- if (!opt_format(opt_arg(), OPT_FMT_PEMDER, &keyformat))
+ if (!opt_format(opt_arg(), OPT_FMT_PDE, &keyformat))
goto opthelp;
break;
case OPT_CAFORM:
@@ -225,7 +225,7 @@ int x509_main(int argc, char **argv)
goto opthelp;
break;
case OPT_CAKEYFORM:
- if (!opt_format(opt_arg(), OPT_FMT_ANY, &CAkeyformat))
+ if (!opt_format(opt_arg(), OPT_FMT_PDE, &CAkeyformat))
goto opthelp;
break;
case OPT_OUT:
diff --git a/appveyor.yml b/appveyor.yml
index 24966c0f..6210391f 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -1,3 +1,6 @@
+image:
+ - Visual Studio 2017
+
platform:
- x64
- x86
@@ -5,17 +8,24 @@ platform:
environment:
fast_finish: true
matrix:
- - VSVER: 14
+ - VSVER: 15
configuration:
- shared
- plain
+ - minimal
before_build:
+ - ps: >-
+ Install-Module VSSetup -Scope CurrentUser
+ - ps: >-
+ Get-VSSetupInstance -All
+ - ps: >-
+ gci env:* | sort-object name
- ps: >-
If ($env:Platform -Match "x86") {
$env:VCVARS_PLATFORM="x86"
- $env:TARGET="VC-WIN32 no-asm"
+ $env:TARGET="VC-WIN32 no-asm --strict-warnings"
} Else {
$env:VCVARS_PLATFORM="amd64"
$env:TARGET="VC-WIN64A-masm"
@@ -23,11 +33,12 @@ before_build:
- ps: >-
If ($env:Configuration -Match "shared") {
$env:SHARED="no-makedepend"
+ } ElseIf ($env:Configuration -Match "minimal") {
+ $env:SHARED="no-shared no-dso no-makedepend no-aria no-async no-autoload-config no-blake2 no-bf no-camellia no-cast no-chacha no-cmac no-cms no-comp no-ct no-des no-dgram no-dh no-dsa no-dtls no-ec2m no-engine no-filenames no-gost no-idea no-mdc2 no-md4 no-multiblock no-nextprotoneg no-ocsp no-ocb no-poly1305 no-psk no-rc2 no-rc4 no-rmd160 no-seed no-siphash no-sm2 no-sm3 no-sm4 no-srp no-srtp no-ssl3 no-ssl3-method no-ts no-ui-console no-whirlpool no-asm -DOPENSSL_SMALL_FOOTPRINT"
} Else {
$env:SHARED="no-shared no-makedepend"
}
- - ps: $env:VSCOMNTOOLS=(Get-Content ("env:VS" + "$env:VSVER" + "0COMNTOOLS"))
- - call "%VSCOMNTOOLS%\..\..\VC\vcvarsall.bat" %VCVARS_PLATFORM%
+ - call "C:\Program Files (x86)\Microsoft Visual Studio\2017\Community\VC\Auxiliary\Build\vcvarsall.bat" %VCVARS_PLATFORM%
- mkdir _build
- cd _build
- perl ..\Configure %TARGET% %SHARED%
@@ -35,7 +46,8 @@ before_build:
- cd ..
- ps: >-
if (-not $env:APPVEYOR_PULL_REQUEST_NUMBER`
- -or (&git log -2 | Select-String "\[extended tests\]") ) {
+ -or (&git log -1 $env:APPVEYOR_PULL_REQUEST_HEAD_COMMIT |
+ Select-String "\[extended tests\]") ) {
$env:EXTENDED_TESTS="yes"
}
diff --git a/build.info b/build.info
index 3dda4e89..05c9bdd1 100644
--- a/build.info
+++ b/build.info
@@ -9,20 +9,20 @@
"";
-}
LIBS=libcrypto libssl
-INCLUDE[libcrypto]=. crypto/include include
+INCLUDE[libcrypto]=. include
INCLUDE[libssl]=. include
DEPEND[libssl]=libcrypto
# Empty DEPEND "indices" means the dependencies are expected to be built
# unconditionally before anything else.
-DEPEND[]=include/openssl/opensslconf.h crypto/include/internal/bn_conf.h \
- crypto/include/internal/dso_conf.h
+DEPEND[]=include/openssl/opensslconf.h include/crypto/bn_conf.h \
+ include/crypto/dso_conf.h
DEPEND[include/openssl/opensslconf.h]=configdata.pm
GENERATE[include/openssl/opensslconf.h]=include/openssl/opensslconf.h.in
-DEPEND[crypto/include/internal/bn_conf.h]=configdata.pm
-GENERATE[crypto/include/internal/bn_conf.h]=crypto/include/internal/bn_conf.h.in
-DEPEND[crypto/include/internal/dso_conf.h]=configdata.pm
-GENERATE[crypto/include/internal/dso_conf.h]=crypto/include/internal/dso_conf.h.in
+DEPEND[include/crypto/bn_conf.h]=configdata.pm
+GENERATE[include/crypto/bn_conf.h]=include/crypto/bn_conf.h.in
+DEPEND[include/crypto/dso_conf.h]=configdata.pm
+GENERATE[include/crypto/dso_conf.h]=include/crypto/dso_conf.h.in
IF[{- defined $target{shared_defflag} -}]
IF[{- $config{target} =~ /^mingw/ -}]
diff --git a/config b/config
index c1a94d4e..26225ca2 100755
--- a/config
+++ b/config
@@ -1,5 +1,5 @@
#!/bin/sh
-# Copyright 1998-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1998-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -253,11 +253,8 @@ case "${SYSTEM}:${RELEASE}:${VERSION}:${MACHINE}" in
Power*)
echo "ppc-apple-darwin${VERSION}"
;;
- x86_64)
- echo "x86_64-apple-darwin${VERSION}"
- ;;
*)
- echo "i686-apple-darwin${VERSION}"
+ echo "${MACHINE}-apple-darwin${VERSION}"
;;
esac
exit 0
@@ -497,6 +494,9 @@ case "$GUESSOS" in
else
OUT="darwin64-x86_64-cc"
fi ;;
+ $MACHINE-apple-darwin*)
+ OUT="darwin64-$MACHINE-cc"
+ ;;
armv6+7-*-iphoneos)
__CNF_CFLAGS="$__CNF_CFLAGS -arch armv6 -arch armv7"
__CNF_CXXFLAGS="$__CNF_CXXFLAGS -arch armv6 -arch armv7"
@@ -509,10 +509,7 @@ case "$GUESSOS" in
OUT="ios64-cross" ;;
alpha-*-linux2)
ISA=`awk '/cpu model/{print$4;exit(0);}' /proc/cpuinfo`
- case ${ISA:-generic} in
- *[678]) OUT="linux-alpha+bwx-$CC" ;;
- *) OUT="linux-alpha-$CC" ;;
- esac
+ OUT="linux-alpha-$CC"
if [ "$CC" = "gcc" ]; then
case ${ISA:-generic} in
EV5|EV45) __CNF_CFLAGS="$__CNF_CFLAGS -mcpu=ev5"
@@ -908,8 +905,12 @@ fi
OUT="$OUT"
-$PERL $THERE/Configure LIST | grep "$OUT" > /dev/null
-if [ $? = "0" ]; then
+if [ "$OUT" = "darwin64-x86_64-cc" ]; then
+ echo "WARNING! If you wish to build 32-bit libraries, then you have to"
+ echo " invoke 'KERNEL_BITS=32 $THERE/config $options'."
+fi
+
+if $PERL $THERE/Configure LIST | grep "$OUT" > /dev/null; then
if [ "$VERBOSE" = "true" ]; then
echo /usr/bin/env \
__CNF_CPPDEFINES="'$__CNF_CPPDEFINES'" \
@@ -939,8 +940,5 @@ else
exit 1
fi
-if [ "$OUT" = "darwin64-x86_64-cc" ]; then
- echo "WARNING! If you wish to build 32-bit libraries, then you have to"
- echo " invoke 'KERNEL_BITS=32 $THERE/config $options'."
-fi
+# Do not add anothing from here on, so we don't lose the Configure exit code
)
diff --git a/crypto/LPdir_unix.c b/crypto/LPdir_unix.c
index b1022895..bbbec0ae 100644
--- a/crypto/LPdir_unix.c
+++ b/crypto/LPdir_unix.c
@@ -131,9 +131,8 @@ const char *LP_find_file(LP_DIR_CTX **ctx, const char *directory)
return 0;
}
- strncpy((*ctx)->entry_name, direntry->d_name,
- sizeof((*ctx)->entry_name) - 1);
- (*ctx)->entry_name[sizeof((*ctx)->entry_name) - 1] = '\0';
+ OPENSSL_strlcpy((*ctx)->entry_name, direntry->d_name,
+ sizeof((*ctx)->entry_name));
#ifdef __VMS
if ((*ctx)->expect_file_generations) {
char *p = (*ctx)->entry_name + strlen((*ctx)->entry_name);
diff --git a/crypto/aes/aes_core.c b/crypto/aes/aes_core.c
index f1f11fd8..ad00c729 100644
--- a/crypto/aes/aes_core.c
+++ b/crypto/aes/aes_core.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -41,9 +41,639 @@
#include <stdlib.h>
#include <openssl/crypto.h>
#include <openssl/aes.h>
-#include "aes_locl.h"
+#include "aes_local.h"
-#ifndef AES_ASM
+#if defined(OPENSSL_AES_CONST_TIME) && !defined(AES_ASM)
+typedef union {
+ unsigned char b[8];
+ u32 w[2];
+ u64 d;
+} uni;
+
+/*
+ * Compute w := (w * x) mod (x^8 + x^4 + x^3 + x^1 + 1)
+ * Therefore the name "xtime".
+ */
+static void XtimeWord(u32 *w)
+{
+ u32 a, b;
+
+ a = *w;
+ b = a & 0x80808080u;
+ a ^= b;
+ b -= b >> 7;
+ b &= 0x1B1B1B1Bu;
+ b ^= a << 1;
+ *w = b;
+}
+
+static void XtimeLong(u64 *w)
+{
+ u64 a, b;
+
+ a = *w;
+ b = a & 0x8080808080808080uLL;
+ a ^= b;
+ b -= b >> 7;
+ b &= 0x1B1B1B1B1B1B1B1BuLL;
+ b ^= a << 1;
+ *w = b;
+}
+
+/*
+ * This computes w := S * w ^ -1 + c, where c = {01100011}.
+ * Instead of using GF(2^8) mod (x^8+x^4+x^3+x+1} we do the inversion
+ * in GF(GF(GF(2^2)^2)^2) mod (X^2+X+8)
+ * and GF(GF(2^2)^2) mod (X^2+X+2)
+ * and GF(2^2) mod (X^2+X+1)
+ * The first part of the algorithm below transfers the coordinates
+ * {0x01,0x02,0x04,0x08,0x10,0x20,0x40,0x80} =>
+ * {1,Y,Y^2,Y^3,Y^4,Y^5,Y^6,Y^7} with Y=0x41:
+ * {0x01,0x41,0x66,0x6c,0x56,0x9a,0x58,0xc4}
+ * The last part undoes the coordinate transfer and the final affine
+ * transformation S:
+ * b[i] = b[i] + b[(i+4)%8] + b[(i+5)%8] + b[(i+6)%8] + b[(i+7)%8] + c[i]
+ * in one step.
+ * The multiplication in GF(2^2^2^2) is done in ordinary coords:
+ * A = (a0*1 + a1*x^4)
+ * B = (b0*1 + b1*x^4)
+ * AB = ((a0*b0 + 8*a1*b1)*1 + (a1*b0 + (a0+a1)*b1)*x^4)
+ * When A = (a0,a1) is given we want to solve AB = 1:
+ * (a) 1 = a0*b0 + 8*a1*b1
+ * (b) 0 = a1*b0 + (a0+a1)*b1
+ * => multiply (a) by a1 and (b) by a0
+ * (c) a1 = a1*a0*b0 + (8*a1*a1)*b1
+ * (d) 0 = a1*a0*b0 + (a0*a0+a1*a0)*b1
+ * => add (c) + (d)
+ * (e) a1 = (a0*a0 + a1*a0 + 8*a1*a1)*b1
+ * => therefore
+ * b1 = (a0*a0 + a1*a0 + 8*a1*a1)^-1 * a1
+ * => and adding (a1*b0) to (b) we get
+ * (f) a1*b0 = (a0+a1)*b1
+ * => therefore
+ * b0 = (a0*a0 + a1*a0 + 8*a1*a1)^-1 * (a0+a1)
+ * Note this formula also works for the case
+ * (a0+a1)*a0 + 8*a1*a1 = 0
+ * if the inverse element for 0^-1 is mapped to 0.
+ * Repeat the same for GF(2^2^2) and GF(2^2).
+ * We get the following algorithm:
+ * inv8(a0,a1):
+ * x0 = a0^a1
+ * [y0,y1] = mul4([x0,a1],[a0,a1]); (*)
+ * y1 = mul4(8,y1);
+ * t = inv4(y0^y1);
+ * [b0,b1] = mul4([x0,a1],[t,t]); (*)
+ * return [b0,b1];
+ * The non-linear multiplies (*) can be done in parallel at no extra cost.
+ */
+static void SubWord(u32 *w)
+{
+ u32 x, y, a1, a2, a3, a4, a5, a6;
+
+ x = *w;
+ y = ((x & 0xFEFEFEFEu) >> 1) | ((x & 0x01010101u) << 7);
+ x &= 0xDDDDDDDDu;
+ x ^= y & 0x57575757u;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x1C1C1C1Cu;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x4A4A4A4Au;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x42424242u;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x64646464u;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0xE0E0E0E0u;
+ a1 = x;
+ a1 ^= (x & 0xF0F0F0F0u) >> 4;
+ a2 = ((x & 0xCCCCCCCCu) >> 2) | ((x & 0x33333333u) << 2);
+ a3 = x & a1;
+ a3 ^= (a3 & 0xAAAAAAAAu) >> 1;
+ a3 ^= (((x << 1) & a1) ^ ((a1 << 1) & x)) & 0xAAAAAAAAu;
+ a4 = a2 & a1;
+ a4 ^= (a4 & 0xAAAAAAAAu) >> 1;
+ a4 ^= (((a2 << 1) & a1) ^ ((a1 << 1) & a2)) & 0xAAAAAAAAu;
+ a5 = (a3 & 0xCCCCCCCCu) >> 2;
+ a3 ^= ((a4 << 2) ^ a4) & 0xCCCCCCCCu;
+ a4 = a5 & 0x22222222u;
+ a4 |= a4 >> 1;
+ a4 ^= (a5 << 1) & 0x22222222u;
+ a3 ^= a4;
+ a5 = a3 & 0xA0A0A0A0u;
+ a5 |= a5 >> 1;
+ a5 ^= (a3 << 1) & 0xA0A0A0A0u;
+ a4 = a5 & 0xC0C0C0C0u;
+ a6 = a4 >> 2;
+ a4 ^= (a5 << 2) & 0xC0C0C0C0u;
+ a5 = a6 & 0x20202020u;
+ a5 |= a5 >> 1;
+ a5 ^= (a6 << 1) & 0x20202020u;
+ a4 |= a5;
+ a3 ^= a4 >> 4;
+ a3 &= 0x0F0F0F0Fu;
+ a2 = a3;
+ a2 ^= (a3 & 0x0C0C0C0Cu) >> 2;
+ a4 = a3 & a2;
+ a4 ^= (a4 & 0x0A0A0A0A0Au) >> 1;
+ a4 ^= (((a3 << 1) & a2) ^ ((a2 << 1) & a3)) & 0x0A0A0A0Au;
+ a5 = a4 & 0x08080808u;
+ a5 |= a5 >> 1;
+ a5 ^= (a4 << 1) & 0x08080808u;
+ a4 ^= a5 >> 2;
+ a4 &= 0x03030303u;
+ a4 ^= (a4 & 0x02020202u) >> 1;
+ a4 |= a4 << 2;
+ a3 = a2 & a4;
+ a3 ^= (a3 & 0x0A0A0A0Au) >> 1;
+ a3 ^= (((a2 << 1) & a4) ^ ((a4 << 1) & a2)) & 0x0A0A0A0Au;
+ a3 |= a3 << 4;
+ a2 = ((a1 & 0xCCCCCCCCu) >> 2) | ((a1 & 0x33333333u) << 2);
+ x = a1 & a3;
+ x ^= (x & 0xAAAAAAAAu) >> 1;
+ x ^= (((a1 << 1) & a3) ^ ((a3 << 1) & a1)) & 0xAAAAAAAAu;
+ a4 = a2 & a3;
+ a4 ^= (a4 & 0xAAAAAAAAu) >> 1;
+ a4 ^= (((a2 << 1) & a3) ^ ((a3 << 1) & a2)) & 0xAAAAAAAAu;
+ a5 = (x & 0xCCCCCCCCu) >> 2;
+ x ^= ((a4 << 2) ^ a4) & 0xCCCCCCCCu;
+ a4 = a5 & 0x22222222u;
+ a4 |= a4 >> 1;
+ a4 ^= (a5 << 1) & 0x22222222u;
+ x ^= a4;
+ y = ((x & 0xFEFEFEFEu) >> 1) | ((x & 0x01010101u) << 7);
+ x &= 0x39393939u;
+ x ^= y & 0x3F3F3F3Fu;
+ y = ((y & 0xFCFCFCFCu) >> 2) | ((y & 0x03030303u) << 6);
+ x ^= y & 0x97979797u;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x9B9B9B9Bu;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x3C3C3C3Cu;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0xDDDDDDDDu;
+ y = ((y & 0xFEFEFEFEu) >> 1) | ((y & 0x01010101u) << 7);
+ x ^= y & 0x72727272u;
+ x ^= 0x63636363u;
+ *w = x;
+}
+
+static void SubLong(u64 *w)
+{
+ u64 x, y, a1, a2, a3, a4, a5, a6;
+
+ x = *w;
+ y = ((x & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((x & 0x0101010101010101uLL) << 7);
+ x &= 0xDDDDDDDDDDDDDDDDuLL;
+ x ^= y & 0x5757575757575757uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x1C1C1C1C1C1C1C1CuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x4A4A4A4A4A4A4A4AuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x4242424242424242uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x6464646464646464uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xE0E0E0E0E0E0E0E0uLL;
+ a1 = x;
+ a1 ^= (x & 0xF0F0F0F0F0F0F0F0uLL) >> 4;
+ a2 = ((x & 0xCCCCCCCCCCCCCCCCuLL) >> 2) | ((x & 0x3333333333333333uLL) << 2);
+ a3 = x & a1;
+ a3 ^= (a3 & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ a3 ^= (((x << 1) & a1) ^ ((a1 << 1) & x)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a4 = a2 & a1;
+ a4 ^= (a4 & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ a4 ^= (((a2 << 1) & a1) ^ ((a1 << 1) & a2)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a5 = (a3 & 0xCCCCCCCCCCCCCCCCuLL) >> 2;
+ a3 ^= ((a4 << 2) ^ a4) & 0xCCCCCCCCCCCCCCCCuLL;
+ a4 = a5 & 0x2222222222222222uLL;
+ a4 |= a4 >> 1;
+ a4 ^= (a5 << 1) & 0x2222222222222222uLL;
+ a3 ^= a4;
+ a5 = a3 & 0xA0A0A0A0A0A0A0A0uLL;
+ a5 |= a5 >> 1;
+ a5 ^= (a3 << 1) & 0xA0A0A0A0A0A0A0A0uLL;
+ a4 = a5 & 0xC0C0C0C0C0C0C0C0uLL;
+ a6 = a4 >> 2;
+ a4 ^= (a5 << 2) & 0xC0C0C0C0C0C0C0C0uLL;
+ a5 = a6 & 0x2020202020202020uLL;
+ a5 |= a5 >> 1;
+ a5 ^= (a6 << 1) & 0x2020202020202020uLL;
+ a4 |= a5;
+ a3 ^= a4 >> 4;
+ a3 &= 0x0F0F0F0F0F0F0F0FuLL;
+ a2 = a3;
+ a2 ^= (a3 & 0x0C0C0C0C0C0C0C0CuLL) >> 2;
+ a4 = a3 & a2;
+ a4 ^= (a4 & 0x0A0A0A0A0A0A0A0AuLL) >> 1;
+ a4 ^= (((a3 << 1) & a2) ^ ((a2 << 1) & a3)) & 0x0A0A0A0A0A0A0A0AuLL;
+ a5 = a4 & 0x0808080808080808uLL;
+ a5 |= a5 >> 1;
+ a5 ^= (a4 << 1) & 0x0808080808080808uLL;
+ a4 ^= a5 >> 2;
+ a4 &= 0x0303030303030303uLL;
+ a4 ^= (a4 & 0x0202020202020202uLL) >> 1;
+ a4 |= a4 << 2;
+ a3 = a2 & a4;
+ a3 ^= (a3 & 0x0A0A0A0A0A0A0A0AuLL) >> 1;
+ a3 ^= (((a2 << 1) & a4) ^ ((a4 << 1) & a2)) & 0x0A0A0A0A0A0A0A0AuLL;
+ a3 |= a3 << 4;
+ a2 = ((a1 & 0xCCCCCCCCCCCCCCCCuLL) >> 2) | ((a1 & 0x3333333333333333uLL) << 2);
+ x = a1 & a3;
+ x ^= (x & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ x ^= (((a1 << 1) & a3) ^ ((a3 << 1) & a1)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a4 = a2 & a3;
+ a4 ^= (a4 & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ a4 ^= (((a2 << 1) & a3) ^ ((a3 << 1) & a2)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a5 = (x & 0xCCCCCCCCCCCCCCCCuLL) >> 2;
+ x ^= ((a4 << 2) ^ a4) & 0xCCCCCCCCCCCCCCCCuLL;
+ a4 = a5 & 0x2222222222222222uLL;
+ a4 |= a4 >> 1;
+ a4 ^= (a5 << 1) & 0x2222222222222222uLL;
+ x ^= a4;
+ y = ((x & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((x & 0x0101010101010101uLL) << 7);
+ x &= 0x3939393939393939uLL;
+ x ^= y & 0x3F3F3F3F3F3F3F3FuLL;
+ y = ((y & 0xFCFCFCFCFCFCFCFCuLL) >> 2) | ((y & 0x0303030303030303uLL) << 6);
+ x ^= y & 0x9797979797979797uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x9B9B9B9B9B9B9B9BuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x3C3C3C3C3C3C3C3CuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xDDDDDDDDDDDDDDDDuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x7272727272727272uLL;
+ x ^= 0x6363636363636363uLL;
+ *w = x;
+}
+
+/*
+ * This computes w := (S^-1 * (w + c))^-1
+ */
+static void InvSubLong(u64 *w)
+{
+ u64 x, y, a1, a2, a3, a4, a5, a6;
+
+ x = *w;
+ x ^= 0x6363636363636363uLL;
+ y = ((x & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((x & 0x0101010101010101uLL) << 7);
+ x &= 0xFDFDFDFDFDFDFDFDuLL;
+ x ^= y & 0x5E5E5E5E5E5E5E5EuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xF3F3F3F3F3F3F3F3uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xF5F5F5F5F5F5F5F5uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x7878787878787878uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x7777777777777777uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x1515151515151515uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xA5A5A5A5A5A5A5A5uLL;
+ a1 = x;
+ a1 ^= (x & 0xF0F0F0F0F0F0F0F0uLL) >> 4;
+ a2 = ((x & 0xCCCCCCCCCCCCCCCCuLL) >> 2) | ((x & 0x3333333333333333uLL) << 2);
+ a3 = x & a1;
+ a3 ^= (a3 & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ a3 ^= (((x << 1) & a1) ^ ((a1 << 1) & x)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a4 = a2 & a1;
+ a4 ^= (a4 & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ a4 ^= (((a2 << 1) & a1) ^ ((a1 << 1) & a2)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a5 = (a3 & 0xCCCCCCCCCCCCCCCCuLL) >> 2;
+ a3 ^= ((a4 << 2) ^ a4) & 0xCCCCCCCCCCCCCCCCuLL;
+ a4 = a5 & 0x2222222222222222uLL;
+ a4 |= a4 >> 1;
+ a4 ^= (a5 << 1) & 0x2222222222222222uLL;
+ a3 ^= a4;
+ a5 = a3 & 0xA0A0A0A0A0A0A0A0uLL;
+ a5 |= a5 >> 1;
+ a5 ^= (a3 << 1) & 0xA0A0A0A0A0A0A0A0uLL;
+ a4 = a5 & 0xC0C0C0C0C0C0C0C0uLL;
+ a6 = a4 >> 2;
+ a4 ^= (a5 << 2) & 0xC0C0C0C0C0C0C0C0uLL;
+ a5 = a6 & 0x2020202020202020uLL;
+ a5 |= a5 >> 1;
+ a5 ^= (a6 << 1) & 0x2020202020202020uLL;
+ a4 |= a5;
+ a3 ^= a4 >> 4;
+ a3 &= 0x0F0F0F0F0F0F0F0FuLL;
+ a2 = a3;
+ a2 ^= (a3 & 0x0C0C0C0C0C0C0C0CuLL) >> 2;
+ a4 = a3 & a2;
+ a4 ^= (a4 & 0x0A0A0A0A0A0A0A0AuLL) >> 1;
+ a4 ^= (((a3 << 1) & a2) ^ ((a2 << 1) & a3)) & 0x0A0A0A0A0A0A0A0AuLL;
+ a5 = a4 & 0x0808080808080808uLL;
+ a5 |= a5 >> 1;
+ a5 ^= (a4 << 1) & 0x0808080808080808uLL;
+ a4 ^= a5 >> 2;
+ a4 &= 0x0303030303030303uLL;
+ a4 ^= (a4 & 0x0202020202020202uLL) >> 1;
+ a4 |= a4 << 2;
+ a3 = a2 & a4;
+ a3 ^= (a3 & 0x0A0A0A0A0A0A0A0AuLL) >> 1;
+ a3 ^= (((a2 << 1) & a4) ^ ((a4 << 1) & a2)) & 0x0A0A0A0A0A0A0A0AuLL;
+ a3 |= a3 << 4;
+ a2 = ((a1 & 0xCCCCCCCCCCCCCCCCuLL) >> 2) | ((a1 & 0x3333333333333333uLL) << 2);
+ x = a1 & a3;
+ x ^= (x & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ x ^= (((a1 << 1) & a3) ^ ((a3 << 1) & a1)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a4 = a2 & a3;
+ a4 ^= (a4 & 0xAAAAAAAAAAAAAAAAuLL) >> 1;
+ a4 ^= (((a2 << 1) & a3) ^ ((a3 << 1) & a2)) & 0xAAAAAAAAAAAAAAAAuLL;
+ a5 = (x & 0xCCCCCCCCCCCCCCCCuLL) >> 2;
+ x ^= ((a4 << 2) ^ a4) & 0xCCCCCCCCCCCCCCCCuLL;
+ a4 = a5 & 0x2222222222222222uLL;
+ a4 |= a4 >> 1;
+ a4 ^= (a5 << 1) & 0x2222222222222222uLL;
+ x ^= a4;
+ y = ((x & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((x & 0x0101010101010101uLL) << 7);
+ x &= 0xB5B5B5B5B5B5B5B5uLL;
+ x ^= y & 0x4040404040404040uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x8080808080808080uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x1616161616161616uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xEBEBEBEBEBEBEBEBuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x9797979797979797uLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0xFBFBFBFBFBFBFBFBuLL;
+ y = ((y & 0xFEFEFEFEFEFEFEFEuLL) >> 1) | ((y & 0x0101010101010101uLL) << 7);
+ x ^= y & 0x7D7D7D7D7D7D7D7DuLL;
+ *w = x;
+}
+
+static void ShiftRows(u64 *state)
+{
+ unsigned char s[4];
+ unsigned char *s0;
+ int r;
+
+ s0 = (unsigned char *)state;
+ for (r = 0; r < 4; r++) {
+ s[0] = s0[0*4 + r];
+ s[1] = s0[1*4 + r];
+ s[2] = s0[2*4 + r];
+ s[3] = s0[3*4 + r];
+ s0[0*4 + r] = s[(r+0) % 4];
+ s0[1*4 + r] = s[(r+1) % 4];
+ s0[2*4 + r] = s[(r+2) % 4];
+ s0[3*4 + r] = s[(r+3) % 4];
+ }
+}
+
+static void InvShiftRows(u64 *state)
+{
+ unsigned char s[4];
+ unsigned char *s0;
+ int r;
+
+ s0 = (unsigned char *)state;
+ for (r = 0; r < 4; r++) {
+ s[0] = s0[0*4 + r];
+ s[1] = s0[1*4 + r];
+ s[2] = s0[2*4 + r];
+ s[3] = s0[3*4 + r];
+ s0[0*4 + r] = s[(4-r) % 4];
+ s0[1*4 + r] = s[(5-r) % 4];
+ s0[2*4 + r] = s[(6-r) % 4];
+ s0[3*4 + r] = s[(7-r) % 4];
+ }
+}
+
+static void MixColumns(u64 *state)
+{
+ uni s1;
+ uni s;
+ int c;
+
+ for (c = 0; c < 2; c++) {
+ s1.d = state[c];
+ s.d = s1.d;
+ s.d ^= ((s.d & 0xFFFF0000FFFF0000uLL) >> 16)
+ | ((s.d & 0x0000FFFF0000FFFFuLL) << 16);
+ s.d ^= ((s.d & 0xFF00FF00FF00FF00uLL) >> 8)
+ | ((s.d & 0x00FF00FF00FF00FFuLL) << 8);
+ s.d ^= s1.d;
+ XtimeLong(&s1.d);
+ s.d ^= s1.d;
+ s.b[0] ^= s1.b[1];
+ s.b[1] ^= s1.b[2];
+ s.b[2] ^= s1.b[3];
+ s.b[3] ^= s1.b[0];
+ s.b[4] ^= s1.b[5];
+ s.b[5] ^= s1.b[6];
+ s.b[6] ^= s1.b[7];
+ s.b[7] ^= s1.b[4];
+ state[c] = s.d;
+ }
+}
+
+static void InvMixColumns(u64 *state)
+{
+ uni s1;
+ uni s;
+ int c;
+
+ for (c = 0; c < 2; c++) {
+ s1.d = state[c];
+ s.d = s1.d;
+ s.d ^= ((s.d & 0xFFFF0000FFFF0000uLL) >> 16)
+ | ((s.d & 0x0000FFFF0000FFFFuLL) << 16);
+ s.d ^= ((s.d & 0xFF00FF00FF00FF00uLL) >> 8)
+ | ((s.d & 0x00FF00FF00FF00FFuLL) << 8);
+ s.d ^= s1.d;
+ XtimeLong(&s1.d);
+ s.d ^= s1.d;
+ s.b[0] ^= s1.b[1];
+ s.b[1] ^= s1.b[2];
+ s.b[2] ^= s1.b[3];
+ s.b[3] ^= s1.b[0];
+ s.b[4] ^= s1.b[5];
+ s.b[5] ^= s1.b[6];
+ s.b[6] ^= s1.b[7];
+ s.b[7] ^= s1.b[4];
+ XtimeLong(&s1.d);
+ s1.d ^= ((s1.d & 0xFFFF0000FFFF0000uLL) >> 16)
+ | ((s1.d & 0x0000FFFF0000FFFFuLL) << 16);
+ s.d ^= s1.d;
+ XtimeLong(&s1.d);
+ s1.d ^= ((s1.d & 0xFF00FF00FF00FF00uLL) >> 8)
+ | ((s1.d & 0x00FF00FF00FF00FFuLL) << 8);
+ s.d ^= s1.d;
+ state[c] = s.d;
+ }
+}
+
+static void AddRoundKey(u64 *state, const u64 *w)
+{
+ state[0] ^= w[0];
+ state[1] ^= w[1];
+}
+
+static void Cipher(const unsigned char *in, unsigned char *out,
+ const u64 *w, int nr)
+{
+ u64 state[2];
+ int i;
+
+ memcpy(state, in, 16);
+
+ AddRoundKey(state, w);
+
+ for (i = 1; i < nr; i++) {
+ SubLong(&state[0]);
+ SubLong(&state[1]);
+ ShiftRows(state);
+ MixColumns(state);
+ AddRoundKey(state, w + i*2);
+ }
+
+ SubLong(&state[0]);
+ SubLong(&state[1]);
+ ShiftRows(state);
+ AddRoundKey(state, w + nr*2);
+
+ memcpy(out, state, 16);
+}
+
+static void InvCipher(const unsigned char *in, unsigned char *out,
+ const u64 *w, int nr)
+
+{
+ u64 state[2];
+ int i;
+
+ memcpy(state, in, 16);
+
+ AddRoundKey(state, w + nr*2);
+
+ for (i = nr - 1; i > 0; i--) {
+ InvShiftRows(state);
+ InvSubLong(&state[0]);
+ InvSubLong(&state[1]);
+ AddRoundKey(state, w + i*2);
+ InvMixColumns(state);
+ }
+
+ InvShiftRows(state);
+ InvSubLong(&state[0]);
+ InvSubLong(&state[1]);
+ AddRoundKey(state, w);
+
+ memcpy(out, state, 16);
+}
+
+static void RotWord(u32 *x)
+{
+ unsigned char *w0;
+ unsigned char tmp;
+
+ w0 = (unsigned char *)x;
+ tmp = w0[0];
+ w0[0] = w0[1];
+ w0[1] = w0[2];
+ w0[2] = w0[3];
+ w0[3] = tmp;
+}
+
+static void KeyExpansion(const unsigned char *key, u64 *w,
+ int nr, int nk)
+{
+ u32 rcon;
+ uni prev;
+ u32 temp;
+ int i, n;
+
+ memcpy(w, key, nk*4);
+ memcpy(&rcon, "\1\0\0\0", 4);
+ n = nk/2;
+ prev.d = w[n-1];
+ for (i = n; i < (nr+1)*2; i++) {
+ temp = prev.w[1];
+ if (i % n == 0) {
+ RotWord(&temp);
+ SubWord(&temp);
+ temp ^= rcon;
+ XtimeWord(&rcon);
+ } else if (nk > 6 && i % n == 2) {
+ SubWord(&temp);
+ }
+ prev.d = w[i-n];
+ prev.w[0] ^= temp;
+ prev.w[1] ^= prev.w[0];
+ w[i] = prev.d;
+ }
+}
+
+/**
+ * Expand the cipher key into the encryption key schedule.
+ */
+int AES_set_encrypt_key(const unsigned char *userKey, const int bits,
+ AES_KEY *key)
+{
+ u64 *rk;
+
+ if (!userKey || !key)
+ return -1;
+ if (bits != 128 && bits != 192 && bits != 256)
+ return -2;
+
+ rk = (u64*)key->rd_key;
+
+ if (bits == 128)
+ key->rounds = 10;
+ else if (bits == 192)
+ key->rounds = 12;
+ else
+ key->rounds = 14;
+
+ KeyExpansion(userKey, rk, key->rounds, bits/32);
+ return 0;
+}
+
+/**
+ * Expand the cipher key into the decryption key schedule.
+ */
+int AES_set_decrypt_key(const unsigned char *userKey, const int bits,
+ AES_KEY *key)
+{
+ return AES_set_encrypt_key(userKey, bits, key);
+}
+
+/*
+ * Encrypt a single block
+ * in and out can overlap
+ */
+void AES_encrypt(const unsigned char *in, unsigned char *out,
+ const AES_KEY *key)
+{
+ const u64 *rk;
+
+ assert(in && out && key);
+ rk = (u64*)key->rd_key;
+
+ Cipher(in, out, rk, key->rounds);
+}
+
+/*
+ * Decrypt a single block
+ * in and out can overlap
+ */
+void AES_decrypt(const unsigned char *in, unsigned char *out,
+ const AES_KEY *key)
+{
+ const u64 *rk;
+
+ assert(in && out && key);
+ rk = (u64*)key->rd_key;
+
+ InvCipher(in, out, rk, key->rounds);
+}
+#elif !defined(AES_ASM)
/*-
Te0[x] = S [x].[02, 01, 01, 03];
Te1[x] = S [x].[03, 02, 01, 01];
diff --git a/crypto/aes/aes_ecb.c b/crypto/aes/aes_ecb.c
index 29bfc1ad..4fa360ca 100644
--- a/crypto/aes/aes_ecb.c
+++ b/crypto/aes/aes_ecb.c
@@ -10,7 +10,7 @@
#include <assert.h>
#include <openssl/aes.h>
-#include "aes_locl.h"
+#include "aes_local.h"
void AES_ecb_encrypt(const unsigned char *in, unsigned char *out,
const AES_KEY *key, const int enc)
diff --git a/crypto/aes/aes_ige.c b/crypto/aes/aes_ige.c
index 75f796cf..804b3a72 100644
--- a/crypto/aes/aes_ige.c
+++ b/crypto/aes/aes_ige.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,12 +10,7 @@
#include "internal/cryptlib.h"
#include <openssl/aes.h>
-#include "aes_locl.h"
-
-#define N_WORDS (AES_BLOCK_SIZE / sizeof(unsigned long))
-typedef struct {
- unsigned long data[N_WORDS];
-} aes_block_t;
+#include "aes_local.h"
/* XXX: probably some better way to do this */
#if defined(__i386__) || defined(__x86_64__)
@@ -24,6 +19,15 @@ typedef struct {
# define UNALIGNED_MEMOPS_ARE_FAST 0
#endif
+#define N_WORDS (AES_BLOCK_SIZE / sizeof(unsigned long))
+typedef struct {
+ unsigned long data[N_WORDS];
+#if defined(__GNUC__) && UNALIGNED_MEMOPS_ARE_FAST
+} aes_block_t __attribute((__aligned__(1)));
+#else
+} aes_block_t;
+#endif
+
#if UNALIGNED_MEMOPS_ARE_FAST
# define load_block(d, s) (d) = *(const aes_block_t *)(s)
# define store_block(d, s) *(aes_block_t *)(d) = (s)
diff --git a/crypto/aes/aes_locl.h b/crypto/aes/aes_local.h
similarity index 83%
rename from crypto/aes/aes_locl.h
rename to crypto/aes/aes_local.h
index adee29df..a9c0059e 100644
--- a/crypto/aes/aes_locl.h
+++ b/crypto/aes/aes_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_AES_LOCL_H
-# define HEADER_AES_LOCL_H
+#ifndef OSSL_CRYPTO_AES_LOCAL_H
+# define OSSL_CRYPTO_AES_LOCAL_H
# include <openssl/e_os2.h>
# include <stdio.h>
@@ -24,6 +24,7 @@
# define PUTU32(ct, st) { (ct)[0] = (u8)((st) >> 24); (ct)[1] = (u8)((st) >> 16); (ct)[2] = (u8)((st) >> 8); (ct)[3] = (u8)(st); }
# endif
+typedef unsigned long long u64;
# ifdef AES_LONG
typedef unsigned long u32;
# else
@@ -39,4 +40,4 @@ typedef unsigned char u8;
/* This controls loop-unrolling in aes_core.c */
# undef FULL_UNROLL
-#endif /* !HEADER_AES_LOCL_H */
+#endif /* !OSSL_CRYPTO_AES_LOCAL_H */
diff --git a/crypto/aes/aes_misc.c b/crypto/aes/aes_misc.c
index 7403c84f..e0edc72b 100644
--- a/crypto/aes/aes_misc.c
+++ b/crypto/aes/aes_misc.c
@@ -9,7 +9,7 @@
#include <openssl/opensslv.h>
#include <openssl/aes.h>
-#include "aes_locl.h"
+#include "aes_local.h"
const char *AES_options(void)
{
diff --git a/crypto/aes/aes_x86core.c b/crypto/aes/aes_x86core.c
index 1b660d71..50b53abc 100644
--- a/crypto/aes/aes_x86core.c
+++ b/crypto/aes/aes_x86core.c
@@ -46,7 +46,7 @@
#include <stdlib.h>
#include <openssl/aes.h>
-#include "aes_locl.h"
+#include "aes_local.h"
/*
* These two parameters control which table, 256-byte or 2KB, is
diff --git a/crypto/aes/asm/aes-armv4.pl b/crypto/aes/asm/aes-armv4.pl
index 99815899..1112eef5 100644
--- a/crypto/aes/asm/aes-armv4.pl
+++ b/crypto/aes/asm/aes-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1242,4 +1242,4 @@ while(<SELF>) {
close SELF;
print $code;
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/aes/asm/aes-c64xplus.pl b/crypto/aes/asm/aes-c64xplus.pl
index 19d2cc17..cad3fcd0 100644
--- a/crypto/aes/asm/aes-c64xplus.pl
+++ b/crypto/aes/asm/aes-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1379,4 +1379,4 @@ AES_Td4:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aes-mips.pl b/crypto/aes/asm/aes-mips.pl
index 716c3356..b5601e90 100644
--- a/crypto/aes/asm/aes-mips.pl
+++ b/crypto/aes/asm/aes-mips.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -2167,4 +2167,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aes-parisc.pl b/crypto/aes/asm/aes-parisc.pl
index e817c757..5b07fac3 100644
--- a/crypto/aes/asm/aes-parisc.pl
+++ b/crypto/aes/asm/aes-parisc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1035,4 +1035,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aes-ppc.pl b/crypto/aes/asm/aes-ppc.pl
index ca69df4c..bb4ee84a 100644
--- a/crypto/aes/asm/aes-ppc.pl
+++ b/crypto/aes/asm/aes-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1456,4 +1456,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aes-s390x.pl b/crypto/aes/asm/aes-s390x.pl
index 815fde8f..4cb8f433 100644
--- a/crypto/aes/asm/aes-s390x.pl
+++ b/crypto/aes/asm/aes-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1987,7 +1987,7 @@ $code.=<<___;
.Lxts_enc_done:
stg $sp,$tweak+0($sp) # wipe tweak
- stg $sp,$twesk+8($sp)
+ stg $sp,$tweak+8($sp)
lm${g} %r6,$ra,6*$SIZE_T($sp)
br $ra
.size AES_xts_encrypt,.-AES_xts_encrypt
@@ -2267,7 +2267,7 @@ $code.=<<___;
stg $sp,$tweak-16+8($sp)
.Lxts_dec_done:
stg $sp,$tweak+0($sp) # wipe tweak
- stg $sp,$twesk+8($sp)
+ stg $sp,$tweak+8($sp)
lm${g} %r6,$ra,6*$SIZE_T($sp)
br $ra
.size AES_xts_decrypt,.-AES_xts_decrypt
@@ -2279,4 +2279,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT; # force flush
+close STDOUT or die "error closing STDOUT: $!"; # force flush
diff --git a/crypto/aes/asm/aes-sparcv9.pl b/crypto/aes/asm/aes-sparcv9.pl
index 40d1f94c..1b37a920 100755
--- a/crypto/aes/asm/aes-sparcv9.pl
+++ b/crypto/aes/asm/aes-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1189,4 +1189,4 @@ ___
$code =~ s/fmovs.*$//gm;
print $code;
-close STDOUT; # ensure flush
+close STDOUT or die "error closing STDOUT: $!"; # ensure flush
diff --git a/crypto/aes/asm/aesfx-sparcv9.pl b/crypto/aes/asm/aesfx-sparcv9.pl
index 9ddf0b4b..1678c4f7 100644
--- a/crypto/aes/asm/aesfx-sparcv9.pl
+++ b/crypto/aes/asm/aesfx-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1267,4 +1267,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesni-mb-x86_64.pl b/crypto/aes/asm/aesni-mb-x86_64.pl
index 1f356d2d..a80cfdc1 100644
--- a/crypto/aes/asm/aesni-mb-x86_64.pl
+++ b/crypto/aes/asm/aesni-mb-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -70,7 +70,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -1471,4 +1471,4 @@ $code =~ s/\`([^\`]*)\`/eval($1)/gem;
$code =~ s/\b(aes.*%xmm[0-9]+).*$/aesni($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesni-sha1-x86_64.pl b/crypto/aes/asm/aesni-sha1-x86_64.pl
index b01a4c55..04fd13be 100644
--- a/crypto/aes/asm/aesni-sha1-x86_64.pl
+++ b/crypto/aes/asm/aesni-sha1-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -108,7 +108,7 @@ $avx=1 if (!$avx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
$avx=1 if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
`ml64 2>&1` =~ /Version ([0-9]+)\./ &&
$1>=10);
-$avx=1 if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/ && $2>=3.0);
+$avx=1 if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/ && $2>=3.0);
$shaext=1; ### set to zero if compiling for 1.0.1
@@ -133,6 +133,7 @@ $code.=<<___;
.type aesni_cbc_sha1_enc,\@abi-omnipotent
.align 32
aesni_cbc_sha1_enc:
+.cfi_startproc
# caller should check for SSSE3 and AES-NI bits
mov OPENSSL_ia32cap_P+0(%rip),%r10d
mov OPENSSL_ia32cap_P+4(%rip),%r11
@@ -151,6 +152,7 @@ ___
$code.=<<___;
jmp aesni_cbc_sha1_enc_ssse3
ret
+.cfi_endproc
.size aesni_cbc_sha1_enc,.-aesni_cbc_sha1_enc
___
@@ -840,6 +842,7 @@ $code.=<<___;
.type aesni256_cbc_sha1_dec,\@abi-omnipotent
.align 32
aesni256_cbc_sha1_dec:
+.cfi_startproc
# caller should check for SSSE3 and AES-NI bits
mov OPENSSL_ia32cap_P+0(%rip),%r10d
mov OPENSSL_ia32cap_P+4(%rip),%r11d
@@ -854,6 +857,7 @@ ___
$code.=<<___;
jmp aesni256_cbc_sha1_dec_ssse3
ret
+.cfi_endproc
.size aesni256_cbc_sha1_dec,.-aesni256_cbc_sha1_dec
.type aesni256_cbc_sha1_dec_ssse3,\@function,6
@@ -1760,6 +1764,7 @@ $code.=<<___;
.type aesni_cbc_sha1_enc_shaext,\@function,6
.align 32
aesni_cbc_sha1_enc_shaext:
+.cfi_startproc
mov `($win64?56:8)`(%rsp),$inp # load 7th argument
___
$code.=<<___ if ($win64);
@@ -1911,6 +1916,7 @@ $code.=<<___ if ($win64);
___
$code.=<<___;
ret
+.cfi_endproc
.size aesni_cbc_sha1_enc_shaext,.-aesni_cbc_sha1_enc_shaext
___
}}}
@@ -2137,4 +2143,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesni-sha256-x86_64.pl b/crypto/aes/asm/aesni-sha256-x86_64.pl
index ef460237..ff9b1850 100644
--- a/crypto/aes/asm/aesni-sha256-x86_64.pl
+++ b/crypto/aes/asm/aesni-sha256-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -70,7 +70,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=12);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -123,6 +123,7 @@ $code=<<___;
.type $func,\@abi-omnipotent
.align 16
$func:
+.cfi_startproc
___
if ($avx) {
$code.=<<___;
@@ -162,6 +163,7 @@ $code.=<<___;
ud2
.Lprobe:
ret
+.cfi_endproc
.size $func,.-$func
.align 64
@@ -1084,7 +1086,23 @@ $code.=<<___;
vmovdqa $t0,0x00(%rsp)
xor $a1,$a1
vmovdqa $t1,0x20(%rsp)
+___
+$code.=<<___ if (!$win64);
+# temporarily use %rsi as frame pointer
+ mov $_rsp,%rsi
+.cfi_def_cfa %rsi,8
+___
+$code.=<<___;
lea -$PUSH8(%rsp),%rsp
+___
+$code.=<<___ if (!$win64);
+# the frame info is at $_rsp, but the stack is moving...
+# so a second frame pointer is saved at -8(%rsp)
+# that is in the red zone
+ mov %rsi,-8(%rsp)
+.cfi_cfa_expression %rsp-8,deref,+8
+___
+$code.=<<___;
mov $B,$a3
vmovdqa $t2,0x00(%rsp)
xor $C,$a3 # magic
@@ -1106,7 +1124,17 @@ my @X = @_;
my @insns = (&$body,&$body,&$body,&$body); # 96 instructions
my $base = "+2*$PUSH8(%rsp)";
- &lea ("%rsp","-$PUSH8(%rsp)") if (($j%2)==0);
+ if (($j%2)==0) {
+ &lea ("%rsp","-$PUSH8(%rsp)");
+$code.=<<___ if (!$win64);
+.cfi_cfa_expression %rsp+`$PUSH8-8`,deref,+8
+# copy secondary frame pointer to new location again at -8(%rsp)
+ pushq $PUSH8-8(%rsp)
+.cfi_cfa_expression %rsp,deref,+8
+ lea 8(%rsp),%rsp
+.cfi_cfa_expression %rsp-8,deref,+8
+___
+ }
foreach (Xupdate_256_AVX()) { # 29 instructions
eval;
eval(shift(@insns));
@@ -1232,26 +1260,28 @@ $code.=<<___;
jbe .Loop_avx2
lea (%rsp),$Tbl
+# temporarily use $Tbl as index to $_rsp
+# this avoids the need to save a secondary frame pointer at -8(%rsp)
+.cfi_cfa_expression $Tbl+`16*$SZ+7*8`,deref,+8
.Ldone_avx2:
- lea ($Tbl),%rsp
- mov $_ivp,$ivp
- mov $_rsp,%rsi
+ mov 16*$SZ+4*8($Tbl),$ivp
+ mov 16*$SZ+7*8($Tbl),%rsi
.cfi_def_cfa %rsi,8
vmovdqu $iv,($ivp) # output IV
vzeroall
___
$code.=<<___ if ($win64);
- movaps `$framesz+16*0`(%rsp),%xmm6
- movaps `$framesz+16*1`(%rsp),%xmm7
- movaps `$framesz+16*2`(%rsp),%xmm8
- movaps `$framesz+16*3`(%rsp),%xmm9
- movaps `$framesz+16*4`(%rsp),%xmm10
- movaps `$framesz+16*5`(%rsp),%xmm11
- movaps `$framesz+16*6`(%rsp),%xmm12
- movaps `$framesz+16*7`(%rsp),%xmm13
- movaps `$framesz+16*8`(%rsp),%xmm14
- movaps `$framesz+16*9`(%rsp),%xmm15
+ movaps `$framesz+16*0`($Tbl),%xmm6
+ movaps `$framesz+16*1`($Tbl),%xmm7
+ movaps `$framesz+16*2`($Tbl),%xmm8
+ movaps `$framesz+16*3`($Tbl),%xmm9
+ movaps `$framesz+16*4`($Tbl),%xmm10
+ movaps `$framesz+16*5`($Tbl),%xmm11
+ movaps `$framesz+16*6`($Tbl),%xmm12
+ movaps `$framesz+16*7`($Tbl),%xmm13
+ movaps `$framesz+16*8`($Tbl),%xmm14
+ movaps `$framesz+16*9`($Tbl),%xmm15
___
$code.=<<___;
mov -48(%rsi),%r15
@@ -1339,6 +1369,7 @@ $code.=<<___;
.type ${func}_shaext,\@function,6
.align 32
${func}_shaext:
+.cfi_startproc
mov `($win64?56:8)`(%rsp),$inp # load 7th argument
___
$code.=<<___ if ($win64);
@@ -1555,6 +1586,7 @@ $code.=<<___ if ($win64);
___
$code.=<<___;
ret
+.cfi_endproc
.size ${func}_shaext,.-${func}_shaext
___
}
@@ -1767,4 +1799,4 @@ sub rex {
$code =~ s/\`([^\`]*)\`/eval $1/gem;
$code =~ s/\b(sha256[^\s]*)\s+(.*)/sha256op38($1,$2)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesni-x86.pl b/crypto/aes/asm/aesni-x86.pl
index b351fca2..fe2b2654 100644
--- a/crypto/aes/asm/aesni-x86.pl
+++ b/crypto/aes/asm/aesni-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -3412,4 +3412,4 @@ my ($l_,$block,$i1,$i3,$i5) = ($rounds_,$key_,$rounds,$len,$out);
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesni-x86_64.pl b/crypto/aes/asm/aesni-x86_64.pl
index b68c14da..f8c2e239 100644
--- a/crypto/aes/asm/aesni-x86_64.pl
+++ b/crypto/aes/asm/aesni-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -59,7 +59,7 @@
# nothing one can do and the result appears optimal. CCM result is
# identical to CBC, because CBC-MAC is essentially CBC encrypt without
# saving output. CCM CTR "stays invisible," because it's neatly
-# interleaved wih CBC-MAC. This provides ~30% improvement over
+# interleaved with CBC-MAC. This provides ~30% improvement over
# "straightforward" CCM implementation with CTR and CBC-MAC performed
# disjointly. Parallelizable modes practically achieve the theoretical
# limit.
@@ -984,6 +984,7 @@ $code.=<<___;
.type aesni_ccm64_encrypt_blocks,\@function,6
.align 16
aesni_ccm64_encrypt_blocks:
+.cfi_startproc
___
$code.=<<___ if ($win64);
lea -0x58(%rsp),%rsp
@@ -1066,6 +1067,7 @@ $code.=<<___ if ($win64);
___
$code.=<<___;
ret
+.cfi_endproc
.size aesni_ccm64_encrypt_blocks,.-aesni_ccm64_encrypt_blocks
___
######################################################################
@@ -1074,6 +1076,7 @@ $code.=<<___;
.type aesni_ccm64_decrypt_blocks,\@function,6
.align 16
aesni_ccm64_decrypt_blocks:
+.cfi_startproc
___
$code.=<<___ if ($win64);
lea -0x58(%rsp),%rsp
@@ -1173,6 +1176,7 @@ $code.=<<___ if ($win64);
___
$code.=<<___;
ret
+.cfi_endproc
.size aesni_ccm64_decrypt_blocks,.-aesni_ccm64_decrypt_blocks
___
}
@@ -2339,7 +2343,7 @@ $code.=<<___;
movdqu `16*0`($inp),$inout0 # load input
movdqa $rndkey0,$twmask
movdqu `16*1`($inp),$inout1
- pxor @tweak[0],$inout0 # intput^=tweak^round[0]
+ pxor @tweak[0],$inout0 # input^=tweak^round[0]
movdqu `16*2`($inp),$inout2
pxor @tweak[1],$inout1
aesdec $rndkey1,$inout0
@@ -3031,6 +3035,7 @@ $code.=<<___;
.type __ocb_encrypt6,\@abi-omnipotent
.align 32
__ocb_encrypt6:
+.cfi_startproc
pxor $rndkey0l,@offset[5] # offset_i ^ round[0]
movdqu ($L_p,$i1),@offset[1]
movdqa @offset[0],@offset[2]
@@ -3128,11 +3133,13 @@ __ocb_encrypt6:
aesenclast @offset[4],$inout4
aesenclast @offset[5],$inout5
ret
+.cfi_endproc
.size __ocb_encrypt6,.-__ocb_encrypt6
.type __ocb_encrypt4,\@abi-omnipotent
.align 32
__ocb_encrypt4:
+.cfi_startproc
pxor $rndkey0l,@offset[5] # offset_i ^ round[0]
movdqu ($L_p,$i1),@offset[1]
movdqa @offset[0],@offset[2]
@@ -3197,11 +3204,13 @@ __ocb_encrypt4:
aesenclast @offset[2],$inout2
aesenclast @offset[3],$inout3
ret
+.cfi_endproc
.size __ocb_encrypt4,.-__ocb_encrypt4
.type __ocb_encrypt1,\@abi-omnipotent
.align 32
__ocb_encrypt1:
+.cfi_startproc
pxor @offset[5],$inout5 # offset_i
pxor $rndkey0l,$inout5 # offset_i ^ round[0]
pxor $inout0,$checksum # accumulate checksum
@@ -3232,6 +3241,7 @@ __ocb_encrypt1:
aesenclast $inout5,$inout0
ret
+.cfi_endproc
.size __ocb_encrypt1,.-__ocb_encrypt1
.globl aesni_ocb_decrypt
@@ -3513,6 +3523,7 @@ $code.=<<___;
.type __ocb_decrypt6,\@abi-omnipotent
.align 32
__ocb_decrypt6:
+.cfi_startproc
pxor $rndkey0l,@offset[5] # offset_i ^ round[0]
movdqu ($L_p,$i1),@offset[1]
movdqa @offset[0],@offset[2]
@@ -3604,11 +3615,13 @@ __ocb_decrypt6:
aesdeclast @offset[4],$inout4
aesdeclast @offset[5],$inout5
ret
+.cfi_endproc
.size __ocb_decrypt6,.-__ocb_decrypt6
.type __ocb_decrypt4,\@abi-omnipotent
.align 32
__ocb_decrypt4:
+.cfi_startproc
pxor $rndkey0l,@offset[5] # offset_i ^ round[0]
movdqu ($L_p,$i1),@offset[1]
movdqa @offset[0],@offset[2]
@@ -3669,11 +3682,13 @@ __ocb_decrypt4:
aesdeclast @offset[2],$inout2
aesdeclast @offset[3],$inout3
ret
+.cfi_endproc
.size __ocb_decrypt4,.-__ocb_decrypt4
.type __ocb_decrypt1,\@abi-omnipotent
.align 32
__ocb_decrypt1:
+.cfi_startproc
pxor @offset[5],$inout5 # offset_i
pxor $rndkey0l,$inout5 # offset_i ^ round[0]
pxor $inout5,$inout0 # input ^ round[0] ^ offset_i
@@ -3703,6 +3718,7 @@ __ocb_decrypt1:
aesdeclast $inout5,$inout0
ret
+.cfi_endproc
.size __ocb_decrypt1,.-__ocb_decrypt1
___
} }}
@@ -4637,7 +4653,6 @@ __aesni_set_encrypt_key:
add \$8,%rsp
.cfi_adjust_cfa_offset -8
ret
-.cfi_endproc
.LSEH_end_set_encrypt_key:
.align 16
@@ -4708,6 +4723,7 @@ __aesni_set_encrypt_key:
shufps \$0b10101010,%xmm1,%xmm1 # critical path
xorps %xmm1,%xmm2
ret
+.cfi_endproc
.size ${PREFIX}_set_encrypt_key,.-${PREFIX}_set_encrypt_key
.size __aesni_set_encrypt_key,.-__aesni_set_encrypt_key
___
@@ -4812,7 +4828,7 @@ ctr_xts_se_handler:
mov 56($disp),%r11 # disp->HandlerData
mov 0(%r11),%r10d # HandlerData[0]
- lea (%rsi,%r10),%r10 # prologue lable
+ lea (%rsi,%r10),%r10 # prologue label
cmp %r10,%rbx # context->Rip<prologue label
jb .Lcommon_seh_tail
@@ -4856,7 +4872,7 @@ ocb_se_handler:
mov 56($disp),%r11 # disp->HandlerData
mov 0(%r11),%r10d # HandlerData[0]
- lea (%rsi,%r10),%r10 # prologue lable
+ lea (%rsi,%r10),%r10 # prologue label
cmp %r10,%rbx # context->Rip<prologue label
jb .Lcommon_seh_tail
@@ -5138,4 +5154,4 @@ $code =~ s/\bmovbe\s+%eax,\s*([0-9]+)\(%rsp\)/movbe($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesp8-ppc.pl b/crypto/aes/asm/aesp8-ppc.pl
index c0da1b84..22a538f9 100755
--- a/crypto/aes/asm/aesp8-ppc.pl
+++ b/crypto/aes/asm/aesp8-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -3804,4 +3804,4 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aest4-sparcv9.pl b/crypto/aes/asm/aest4-sparcv9.pl
index 54d0c588..478c97eb 100644
--- a/crypto/aes/asm/aest4-sparcv9.pl
+++ b/crypto/aes/asm/aest4-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -926,4 +926,4 @@ ___
&emit_assembler();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/aesv8-armx.pl b/crypto/aes/asm/aesv8-armx.pl
index eec0ed23..2b0e9829 100755
--- a/crypto/aes/asm/aesv8-armx.pl
+++ b/crypto/aes/asm/aesv8-armx.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -183,7 +183,12 @@ $code.=<<___;
.Loop192:
vtbl.8 $key,{$in1},$mask
vext.8 $tmp,$zero,$in0,#12
+#ifdef __ARMEB__
+ vst1.32 {$in1},[$out],#16
+ sub $out,$out,#8
+#else
vst1.32 {$in1},[$out],#8
+#endif
aese $key,$zero
subs $bits,$bits,#1
@@ -715,8 +720,11 @@ $code.=<<___;
ldr $rounds,[$key,#240]
ldr $ctr, [$ivp, #12]
+#ifdef __ARMEB__
+ vld1.8 {$dat0},[$ivp]
+#else
vld1.32 {$dat0},[$ivp]
-
+#endif
vld1.32 {q8-q9},[$key] // load key schedule...
sub $rounds,$rounds,#4
mov $step,#16
@@ -732,17 +740,17 @@ $code.=<<___;
#ifndef __ARMEB__
rev $ctr, $ctr
#endif
- vorr $dat1,$dat0,$dat0
add $tctr1, $ctr, #1
- vorr $dat2,$dat0,$dat0
- add $ctr, $ctr, #2
vorr $ivec,$dat0,$dat0
rev $tctr1, $tctr1
- vmov.32 ${dat1}[3],$tctr1
+ vmov.32 ${ivec}[3],$tctr1
+ add $ctr, $ctr, #2
+ vorr $dat1,$ivec,$ivec
b.ls .Lctr32_tail
rev $tctr2, $ctr
+ vmov.32 ${ivec}[3],$tctr2
sub $len,$len,#3 // bias
- vmov.32 ${dat2}[3],$tctr2
+ vorr $dat2,$ivec,$ivec
b .Loop3x_ctr32
.align 4
@@ -769,11 +777,11 @@ $code.=<<___;
aese $dat1,q8
aesmc $tmp1,$dat1
vld1.8 {$in0},[$inp],#16
- vorr $dat0,$ivec,$ivec
+ add $tctr0,$ctr,#1
aese $dat2,q8
aesmc $dat2,$dat2
vld1.8 {$in1},[$inp],#16
- vorr $dat1,$ivec,$ivec
+ rev $tctr0,$tctr0
aese $tmp0,q9
aesmc $tmp0,$tmp0
aese $tmp1,q9
@@ -782,8 +790,6 @@ $code.=<<___;
mov $key_,$key
aese $dat2,q9
aesmc $tmp2,$dat2
- vorr $dat2,$ivec,$ivec
- add $tctr0,$ctr,#1
aese $tmp0,q12
aesmc $tmp0,$tmp0
aese $tmp1,q12
@@ -799,20 +805,22 @@ $code.=<<___;
aese $tmp1,q13
aesmc $tmp1,$tmp1
veor $in2,$in2,$rndlast
- rev $tctr0,$tctr0
+ vmov.32 ${ivec}[3], $tctr0
aese $tmp2,q13
aesmc $tmp2,$tmp2
- vmov.32 ${dat0}[3], $tctr0
+ vorr $dat0,$ivec,$ivec
rev $tctr1,$tctr1
aese $tmp0,q14
aesmc $tmp0,$tmp0
+ vmov.32 ${ivec}[3], $tctr1
+ rev $tctr2,$ctr
aese $tmp1,q14
aesmc $tmp1,$tmp1
- vmov.32 ${dat1}[3], $tctr1
- rev $tctr2,$ctr
+ vorr $dat1,$ivec,$ivec
+ vmov.32 ${ivec}[3], $tctr2
aese $tmp2,q14
aesmc $tmp2,$tmp2
- vmov.32 ${dat2}[3], $tctr2
+ vorr $dat2,$ivec,$ivec
subs $len,$len,#3
aese $tmp0,q15
aese $tmp1,q15
@@ -1008,4 +1016,4 @@ if ($flavour =~ /64/) { ######## 64-bit code
}
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/bsaes-armv7.pl b/crypto/aes/asm/bsaes-armv7.pl
index bfe825af..2b9f241c 100644
--- a/crypto/aes/asm/bsaes-armv7.pl
+++ b/crypto/aes/asm/bsaes-armv7.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -2488,4 +2488,4 @@ close SELF;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/vpaes-armv8.pl b/crypto/aes/asm/vpaes-armv8.pl
index e38288af..7a9ffbd7 100755
--- a/crypto/aes/asm/vpaes-armv8.pl
+++ b/crypto/aes/asm/vpaes-armv8.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1274,4 +1274,4 @@ ___
} }
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/vpaes-ppc.pl b/crypto/aes/asm/vpaes-ppc.pl
index 3c771a7e..0260a5c9 100644
--- a/crypto/aes/asm/vpaes-ppc.pl
+++ b/crypto/aes/asm/vpaes-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1591,4 +1591,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/vpaes-x86.pl b/crypto/aes/asm/vpaes-x86.pl
index 7d57edc0..fb02a413 100644
--- a/crypto/aes/asm/vpaes-x86.pl
+++ b/crypto/aes/asm/vpaes-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -913,4 +913,4 @@ $k_dsbo=0x2c0; # decryption sbox final output
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aes/asm/vpaes-x86_64.pl b/crypto/aes/asm/vpaes-x86_64.pl
index 33d293e6..099a686a 100644
--- a/crypto/aes/asm/vpaes-x86_64.pl
+++ b/crypto/aes/asm/vpaes-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1238,4 +1238,4 @@ $code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/alphacpuid.pl b/crypto/alphacpuid.pl
index 6c7fd4c9..23fe3022 100644
--- a/crypto/alphacpuid.pl
+++ b/crypto/alphacpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -254,4 +254,4 @@ OPENSSL_instrument_bus2:
___
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/aria/aria.c b/crypto/aria/aria.c
index 293bcc72..ce55d526 100644
--- a/crypto/aria/aria.c
+++ b/crypto/aria/aria.c
@@ -19,7 +19,7 @@
*/
#include <openssl/e_os2.h>
-#include "internal/aria.h"
+#include "crypto/aria.h"
#include <assert.h>
#include <string.h>
diff --git a/crypto/arm64cpuid.pl b/crypto/arm64cpuid.pl
index 06c8add7..319927e6 100755
--- a/crypto/arm64cpuid.pl
+++ b/crypto/arm64cpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -144,4 +144,4 @@ CRYPTO_memcmp:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/arm_arch.h b/crypto/arm_arch.h
index f11b543d..8b710557 100644
--- a/crypto/arm_arch.h
+++ b/crypto/arm_arch.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef __ARM_ARCH_H__
-# define __ARM_ARCH_H__
+#ifndef OSSL_CRYPTO_ARM_ARCH_H
+# define OSSL_CRYPTO_ARM_ARCH_H
# if !defined(__ARM_ARCH__)
# if defined(__CC_ARM)
diff --git a/crypto/armcap.c b/crypto/armcap.c
index 58e54f0d..8bf96f10 100644
--- a/crypto/armcap.c
+++ b/crypto/armcap.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -69,6 +69,23 @@ void OPENSSL_cpuid_setup(void) __attribute__ ((constructor));
# define OSSL_IMPLEMENT_GETAUXVAL
# endif
# endif
+# if defined(__FreeBSD__)
+# include <sys/param.h>
+# if __FreeBSD_version >= 1200000
+# include <sys/auxv.h>
+# define OSSL_IMPLEMENT_GETAUXVAL
+
+static unsigned long getauxval(unsigned long key)
+{
+ unsigned long val = 0ul;
+
+ if (elf_aux_info((int)key, &val, sizeof(val)) != 0)
+ return 0ul;
+
+ return val;
+}
+# endif
+# endif
/*
* ARM puts the feature bits for Crypto Extensions in AT_HWCAP2, whereas
diff --git a/crypto/armv4cpuid.pl b/crypto/armv4cpuid.pl
index ab007c19..d1b71f83 100644
--- a/crypto/armv4cpuid.pl
+++ b/crypto/armv4cpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -293,4 +293,4 @@ atomic_add_spinlock:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/asn1/a_bitstr.c b/crypto/asn1/a_bitstr.c
index bffbd160..f462dd10 100644
--- a/crypto/asn1/a_bitstr.c
+++ b/crypto/asn1/a_bitstr.c
@@ -11,7 +11,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
int ASN1_BIT_STRING_set(ASN1_BIT_STRING *x, unsigned char *d, int len)
{
diff --git a/crypto/asn1/a_d2i_fp.c b/crypto/asn1/a_d2i_fp.c
index a1a17901..a452b3de 100644
--- a/crypto/asn1/a_d2i_fp.c
+++ b/crypto/asn1/a_d2i_fp.c
@@ -13,7 +13,7 @@
#include "internal/numbers.h"
#include <openssl/buffer.h>
#include <openssl/asn1.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
#ifndef NO_OLD_ASN1
# ifndef OPENSSL_NO_STDIO
diff --git a/crypto/asn1/a_gentm.c b/crypto/asn1/a_gentm.c
index d3878d6e..133bbb15 100644
--- a/crypto/asn1/a_gentm.c
+++ b/crypto/asn1/a_gentm.c
@@ -15,7 +15,7 @@
#include <time.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
/* This is the primary function used to parse ASN1_GENERALIZEDTIME */
int asn1_generalizedtime_to_tm(struct tm *tm, const ASN1_GENERALIZEDTIME *d)
diff --git a/crypto/asn1/a_int.c b/crypto/asn1/a_int.c
index 70a45cb3..9c1a9f52 100644
--- a/crypto/asn1/a_int.c
+++ b/crypto/asn1/a_int.c
@@ -13,7 +13,7 @@
#include <limits.h>
#include <openssl/asn1.h>
#include <openssl/bn.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
ASN1_INTEGER *ASN1_INTEGER_dup(const ASN1_INTEGER *x)
{
diff --git a/crypto/asn1/a_mbstr.c b/crypto/asn1/a_mbstr.c
index 949fe6c1..bdb697ab 100644
--- a/crypto/asn1/a_mbstr.c
+++ b/crypto/asn1/a_mbstr.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
diff --git a/crypto/asn1/a_object.c b/crypto/asn1/a_object.c
index 5e1424a8..d67a723c 100644
--- a/crypto/asn1/a_object.c
+++ b/crypto/asn1/a_object.c
@@ -9,14 +9,14 @@
#include <stdio.h>
#include <limits.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/asn1.h>
#include <openssl/objects.h>
#include <openssl/bn.h>
-#include "internal/asn1_int.h"
-#include "asn1_locl.h"
+#include "crypto/asn1.h"
+#include "asn1_local.h"
int i2d_ASN1_OBJECT(const ASN1_OBJECT *a, unsigned char **pp)
{
diff --git a/crypto/asn1/a_print.c b/crypto/asn1/a_print.c
index 8a373d9d..85a631a2 100644
--- a/crypto/asn1/a_print.c
+++ b/crypto/asn1/a_print.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
diff --git a/crypto/asn1/a_sign.c b/crypto/asn1/a_sign.c
index 146fdb96..72381b66 100644
--- a/crypto/asn1/a_sign.c
+++ b/crypto/asn1/a_sign.c
@@ -18,8 +18,8 @@
#include <openssl/x509.h>
#include <openssl/objects.h>
#include <openssl/buffer.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
#ifndef NO_ASN1_OLD
diff --git a/crypto/asn1/a_strex.c b/crypto/asn1/a_strex.c
index ea4dd1c5..4879b337 100644
--- a/crypto/asn1/a_strex.c
+++ b/crypto/asn1/a_strex.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <string.h>
#include "internal/cryptlib.h"
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
#include <openssl/crypto.h>
#include <openssl/x509.h>
#include <openssl/asn1.h>
diff --git a/crypto/asn1/a_time.c b/crypto/asn1/a_time.c
index c36dd950..54e0de19 100644
--- a/crypto/asn1/a_time.c
+++ b/crypto/asn1/a_time.c
@@ -16,10 +16,10 @@
#include <stdio.h>
#include <time.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
IMPLEMENT_ASN1_MSTRING(ASN1_TIME, B_ASN1_TIME)
diff --git a/crypto/asn1/a_type.c b/crypto/asn1/a_type.c
index 732328e0..4a96315d 100644
--- a/crypto/asn1/a_type.c
+++ b/crypto/asn1/a_type.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/objects.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
int ASN1_TYPE_get(const ASN1_TYPE *a)
{
diff --git a/crypto/asn1/a_utctm.c b/crypto/asn1/a_utctm.c
index b224991a..0ff37b16 100644
--- a/crypto/asn1/a_utctm.c
+++ b/crypto/asn1/a_utctm.c
@@ -11,7 +11,7 @@
#include <time.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
/* This is the primary function used to parse ASN1_UTCTIME */
int asn1_utctime_to_tm(struct tm *tm, const ASN1_UTCTIME *d)
diff --git a/crypto/asn1/a_verify.c b/crypto/asn1/a_verify.c
index cdaf17c3..4b5f5423 100644
--- a/crypto/asn1/a_verify.c
+++ b/crypto/asn1/a_verify.c
@@ -18,8 +18,8 @@
#include <openssl/objects.h>
#include <openssl/buffer.h>
#include <openssl/evp.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
#ifndef NO_ASN1_OLD
diff --git a/crypto/asn1/ameth_lib.c b/crypto/asn1/ameth_lib.c
index d7d270db..5e8c3ed1 100644
--- a/crypto/asn1/ameth_lib.c
+++ b/crypto/asn1/ameth_lib.c
@@ -13,8 +13,8 @@
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/engine.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
#include "standard_methods.h"
diff --git a/crypto/asn1/asn1_err.c b/crypto/asn1/asn1_err.c
index 613f9ae7..cc0a59ca 100644
--- a/crypto/asn1/asn1_err.c
+++ b/crypto/asn1/asn1_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -49,6 +49,7 @@ static const ERR_STRING_DATA ASN1_str_functs[] = {
"asn1_item_embed_d2i"},
{ERR_PACK(ERR_LIB_ASN1, ASN1_F_ASN1_ITEM_EMBED_NEW, 0),
"asn1_item_embed_new"},
+ {ERR_PACK(ERR_LIB_ASN1, ASN1_F_ASN1_ITEM_EX_I2D, 0), "ASN1_item_ex_i2d"},
{ERR_PACK(ERR_LIB_ASN1, ASN1_F_ASN1_ITEM_FLAGS_I2D, 0),
"asn1_item_flags_i2d"},
{ERR_PACK(ERR_LIB_ASN1, ASN1_F_ASN1_ITEM_I2D_BIO, 0), "ASN1_item_i2d_bio"},
@@ -160,6 +161,7 @@ static const ERR_STRING_DATA ASN1_str_reasons[] = {
"asn1 sig parse error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_AUX_ERROR), "aux error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BAD_OBJECT_HEADER), "bad object header"},
+ {ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BAD_TEMPLATE), "bad template"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BMPSTRING_IS_WRONG_LENGTH),
"bmpstring is wrong length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BN_LIB), "bn lib"},
diff --git a/crypto/asn1/asn1_lib.c b/crypto/asn1/asn1_lib.c
index 88c4b539..366afc5f 100644
--- a/crypto/asn1/asn1_lib.c
+++ b/crypto/asn1/asn1_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,7 +11,7 @@
#include <limits.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
static int asn1_get_length(const unsigned char **pp, int *inf, long *rl,
long max);
@@ -268,18 +268,29 @@ ASN1_STRING *ASN1_STRING_dup(const ASN1_STRING *str)
return ret;
}
-int ASN1_STRING_set(ASN1_STRING *str, const void *_data, int len)
+int ASN1_STRING_set(ASN1_STRING *str, const void *_data, int len_in)
{
unsigned char *c;
const char *data = _data;
+ size_t len;
- if (len < 0) {
+ if (len_in < 0) {
if (data == NULL)
return 0;
- else
- len = strlen(data);
+ len = strlen(data);
+ } else {
+ len = (size_t)len_in;
+ }
+ /*
+ * Verify that the length fits within an integer for assignment to
+ * str->length below. The additional 1 is subtracted to allow for the
+ * '\0' terminator even though this isn't strictly necessary.
+ */
+ if (len > INT_MAX - 1) {
+ ASN1err(0, ASN1_R_TOO_LARGE);
+ return 0;
}
- if ((str->length <= len) || (str->data == NULL)) {
+ if ((size_t)str->length <= len || str->data == NULL) {
c = str->data;
str->data = OPENSSL_realloc(c, len + 1);
if (str->data == NULL) {
diff --git a/crypto/asn1/asn1_locl.h b/crypto/asn1/asn1_local.h
similarity index 100%
rename from crypto/asn1/asn1_locl.h
rename to crypto/asn1/asn1_local.h
diff --git a/crypto/asn1/asn1_par.c b/crypto/asn1/asn1_par.c
index 4b60c615..3f10c7cb 100644
--- a/crypto/asn1/asn1_par.c
+++ b/crypto/asn1/asn1_par.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -75,6 +75,8 @@ static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
int nl, hl, j, r;
ASN1_OBJECT *o = NULL;
ASN1_OCTET_STRING *os = NULL;
+ ASN1_INTEGER *ai = NULL;
+ ASN1_ENUMERATED *ae = NULL;
/* ASN1_BMPSTRING *bmp=NULL; */
int dump_indent, dump_cont = 0;
@@ -250,22 +252,21 @@ static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
ASN1_OCTET_STRING_free(os);
os = NULL;
} else if (tag == V_ASN1_INTEGER) {
- ASN1_INTEGER *bs;
int i;
opp = op;
- bs = d2i_ASN1_INTEGER(NULL, &opp, len + hl);
- if (bs != NULL) {
+ ai = d2i_ASN1_INTEGER(NULL, &opp, len + hl);
+ if (ai != NULL) {
if (BIO_write(bp, ":", 1) <= 0)
goto end;
- if (bs->type == V_ASN1_NEG_INTEGER)
+ if (ai->type == V_ASN1_NEG_INTEGER)
if (BIO_write(bp, "-", 1) <= 0)
goto end;
- for (i = 0; i < bs->length; i++) {
- if (BIO_printf(bp, "%02X", bs->data[i]) <= 0)
+ for (i = 0; i < ai->length; i++) {
+ if (BIO_printf(bp, "%02X", ai->data[i]) <= 0)
goto end;
}
- if (bs->length == 0) {
+ if (ai->length == 0) {
if (BIO_write(bp, "00", 2) <= 0)
goto end;
}
@@ -274,24 +275,24 @@ static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
goto end;
dump_cont = 1;
}
- ASN1_INTEGER_free(bs);
+ ASN1_INTEGER_free(ai);
+ ai = NULL;
} else if (tag == V_ASN1_ENUMERATED) {
- ASN1_ENUMERATED *bs;
int i;
opp = op;
- bs = d2i_ASN1_ENUMERATED(NULL, &opp, len + hl);
- if (bs != NULL) {
+ ae = d2i_ASN1_ENUMERATED(NULL, &opp, len + hl);
+ if (ae != NULL) {
if (BIO_write(bp, ":", 1) <= 0)
goto end;
- if (bs->type == V_ASN1_NEG_ENUMERATED)
+ if (ae->type == V_ASN1_NEG_ENUMERATED)
if (BIO_write(bp, "-", 1) <= 0)
goto end;
- for (i = 0; i < bs->length; i++) {
- if (BIO_printf(bp, "%02X", bs->data[i]) <= 0)
+ for (i = 0; i < ae->length; i++) {
+ if (BIO_printf(bp, "%02X", ae->data[i]) <= 0)
goto end;
}
- if (bs->length == 0) {
+ if (ae->length == 0) {
if (BIO_write(bp, "00", 2) <= 0)
goto end;
}
@@ -300,7 +301,8 @@ static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
goto end;
dump_cont = 1;
}
- ASN1_ENUMERATED_free(bs);
+ ASN1_ENUMERATED_free(ae);
+ ae = NULL;
} else if (len > 0 && dump) {
if (!nl) {
if (BIO_write(bp, "\n", 1) <= 0)
@@ -341,6 +343,8 @@ static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
end:
ASN1_OBJECT_free(o);
ASN1_OCTET_STRING_free(os);
+ ASN1_INTEGER_free(ai);
+ ASN1_ENUMERATED_free(ae);
*pp = p;
return ret;
}
diff --git a/crypto/asn1/asn_mime.c b/crypto/asn1/asn_mime.c
index dfd5be63..38735cd8 100644
--- a/crypto/asn1/asn_mime.c
+++ b/crypto/asn1/asn_mime.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,15 +8,15 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/rand.h>
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#include "internal/bio.h"
-#include "asn1_locl.h"
+#include "asn1_local.h"
/*
* Generalised MIME like utilities for streaming ASN1. Although many have a
@@ -198,6 +198,14 @@ static int asn1_write_micalg(BIO *out, STACK_OF(X509_ALGOR) *mdalgs)
BIO_puts(out, "gostr3411-94");
goto err;
+ case NID_id_GostR3411_2012_256:
+ BIO_puts(out, "gostr3411-2012-256");
+ goto err;
+
+ case NID_id_GostR3411_2012_512:
+ BIO_puts(out, "gostr3411-2012-512");
+ goto err;
+
default:
if (have_unknown)
write_comma = 0;
diff --git a/crypto/asn1/asn_moid.c b/crypto/asn1/asn_moid.c
index 68a01f31..732ce972 100644
--- a/crypto/asn1/asn_moid.c
+++ b/crypto/asn1/asn_moid.c
@@ -8,13 +8,13 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <openssl/crypto.h>
#include "internal/cryptlib.h"
#include <openssl/conf.h>
#include <openssl/x509.h>
-#include "internal/asn1_int.h"
-#include "internal/objects.h"
+#include "crypto/asn1.h"
+#include "crypto/objects.h"
/* Simple ASN1 OID module: add all objects in a given section */
diff --git a/crypto/asn1/charmap.h b/crypto/asn1/charmap.h
index f15d72d7..e234c9e6 100644
--- a/crypto/asn1/charmap.h
+++ b/crypto/asn1/charmap.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/asn1/charmap.pl
*
- * Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/asn1/d2i_pr.c b/crypto/asn1/d2i_pr.c
index aa0d6ad6..7b127d20 100644
--- a/crypto/asn1/d2i_pr.c
+++ b/crypto/asn1/d2i_pr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,8 +15,8 @@
#include <openssl/engine.h>
#include <openssl/x509.h>
#include <openssl/asn1.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
EVP_PKEY *d2i_PrivateKey(int type, EVP_PKEY **a, const unsigned char **pp,
long length)
@@ -56,6 +56,8 @@ EVP_PKEY *d2i_PrivateKey(int type, EVP_PKEY **a, const unsigned char **pp,
goto err;
EVP_PKEY_free(ret);
ret = tmp;
+ if (EVP_PKEY_type(type) != EVP_PKEY_base_id(ret))
+ goto err;
} else {
ASN1err(ASN1_F_D2I_PRIVATEKEY, ERR_R_ASN1_LIB);
goto err;
diff --git a/crypto/asn1/d2i_pu.c b/crypto/asn1/d2i_pu.c
index 7bc16c7b..8327ac16 100644
--- a/crypto/asn1/d2i_pu.c
+++ b/crypto/asn1/d2i_pu.c
@@ -17,7 +17,7 @@
#include <openssl/dsa.h>
#include <openssl/ec.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
EVP_PKEY *d2i_PublicKey(int type, EVP_PKEY **a, const unsigned char **pp,
long length)
diff --git a/crypto/asn1/f_int.c b/crypto/asn1/f_int.c
index 6d6bddc6..3a183811 100644
--- a/crypto/asn1/f_int.c
+++ b/crypto/asn1/f_int.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/asn1.h>
diff --git a/crypto/asn1/f_string.c b/crypto/asn1/f_string.c
index f893489a..53dfec71 100644
--- a/crypto/asn1/f_string.c
+++ b/crypto/asn1/f_string.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/asn1.h>
diff --git a/crypto/asn1/i2d_pr.c b/crypto/asn1/i2d_pr.c
index 445b0c84..0374c0bf 100644
--- a/crypto/asn1/i2d_pr.c
+++ b/crypto/asn1/i2d_pr.c
@@ -11,8 +11,8 @@
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
int i2d_PrivateKey(EVP_PKEY *a, unsigned char **pp)
{
diff --git a/crypto/asn1/p8_pkey.c b/crypto/asn1/p8_pkey.c
index dbee827e..ab509b1a 100644
--- a/crypto/asn1/p8_pkey.c
+++ b/crypto/asn1/p8_pkey.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
/* Minor tweak to operation: zero private key data */
static int pkey_cb(int operation, ASN1_VALUE **pval, const ASN1_ITEM *it,
diff --git a/crypto/asn1/t_pkey.c b/crypto/asn1/t_pkey.c
index 3b2c9df8..651622ae 100644
--- a/crypto/asn1/t_pkey.c
+++ b/crypto/asn1/t_pkey.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/objects.h>
#include <openssl/buffer.h>
-#include "internal/bn_int.h"
+#include "crypto/bn.h"
/* Number of octets per line */
#define ASN1_BUF_PRINT_WIDTH 15
diff --git a/crypto/asn1/tasn_dec.c b/crypto/asn1/tasn_dec.c
index c2a521ed..82577b1e 100644
--- a/crypto/asn1/tasn_dec.c
+++ b/crypto/asn1/tasn_dec.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,7 +15,7 @@
#include <openssl/buffer.h>
#include <openssl/err.h>
#include "internal/numbers.h"
-#include "asn1_locl.h"
+#include "asn1_local.h"
/*
@@ -182,6 +182,15 @@ static int asn1_item_embed_d2i(ASN1_VALUE **pval, const unsigned char **in,
tag, aclass, opt, ctx);
case ASN1_ITYPE_MSTRING:
+ /*
+ * It never makes sense for multi-strings to have implicit tagging, so
+ * if tag != -1, then this looks like an error in the template.
+ */
+ if (tag != -1) {
+ ASN1err(ASN1_F_ASN1_ITEM_EMBED_D2I, ASN1_R_BAD_TEMPLATE);
+ goto err;
+ }
+
p = *in;
/* Just read in tag and class */
ret = asn1_check_tlen(NULL, &otag, &oclass, NULL, NULL,
@@ -199,6 +208,7 @@ static int asn1_item_embed_d2i(ASN1_VALUE **pval, const unsigned char **in,
ASN1err(ASN1_F_ASN1_ITEM_EMBED_D2I, ASN1_R_MSTRING_NOT_UNIVERSAL);
goto err;
}
+
/* Check tag matches bit map */
if (!(ASN1_tag2bit(otag) & it->utype)) {
/* If OPTIONAL, assume this is OK */
@@ -215,6 +225,15 @@ static int asn1_item_embed_d2i(ASN1_VALUE **pval, const unsigned char **in,
return ef->asn1_ex_d2i(pval, in, len, it, tag, aclass, opt, ctx);
case ASN1_ITYPE_CHOICE:
+ /*
+ * It never makes sense for CHOICE types to have implicit tagging, so
+ * if tag != -1, then this looks like an error in the template.
+ */
+ if (tag != -1) {
+ ASN1err(ASN1_F_ASN1_ITEM_EMBED_D2I, ASN1_R_BAD_TEMPLATE);
+ goto err;
+ }
+
if (asn1_cb && !asn1_cb(ASN1_OP_D2I_PRE, pval, it, NULL))
goto auxerr;
if (*pval) {
diff --git a/crypto/asn1/tasn_enc.c b/crypto/asn1/tasn_enc.c
index 30be314f..bcc96337 100644
--- a/crypto/asn1/tasn_enc.c
+++ b/crypto/asn1/tasn_enc.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,8 +13,8 @@
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
-#include "internal/asn1_int.h"
-#include "asn1_locl.h"
+#include "crypto/asn1.h"
+#include "asn1_local.h"
static int asn1_i2d_ex_primitive(ASN1_VALUE **pval, unsigned char **out,
const ASN1_ITEM *it, int tag, int aclass);
@@ -103,9 +103,25 @@ int ASN1_item_ex_i2d(ASN1_VALUE **pval, unsigned char **out,
return asn1_i2d_ex_primitive(pval, out, it, tag, aclass);
case ASN1_ITYPE_MSTRING:
+ /*
+ * It never makes sense for multi-strings to have implicit tagging, so
+ * if tag != -1, then this looks like an error in the template.
+ */
+ if (tag != -1) {
+ ASN1err(ASN1_F_ASN1_ITEM_EX_I2D, ASN1_R_BAD_TEMPLATE);
+ return -1;
+ }
return asn1_i2d_ex_primitive(pval, out, it, -1, aclass);
case ASN1_ITYPE_CHOICE:
+ /*
+ * It never makes sense for CHOICE types to have implicit tagging, so
+ * if tag != -1, then this looks like an error in the template.
+ */
+ if (tag != -1) {
+ ASN1err(ASN1_F_ASN1_ITEM_EX_I2D, ASN1_R_BAD_TEMPLATE);
+ return -1;
+ }
if (asn1_cb && !asn1_cb(ASN1_OP_I2D_PRE, pval, it, NULL))
return 0;
i = asn1_get_choice_selector(pval, it);
diff --git a/crypto/asn1/tasn_fre.c b/crypto/asn1/tasn_fre.c
index bbce489f..2916bef7 100644
--- a/crypto/asn1/tasn_fre.c
+++ b/crypto/asn1/tasn_fre.c
@@ -11,7 +11,7 @@
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
/* Free up an ASN1 structure */
diff --git a/crypto/asn1/tasn_new.c b/crypto/asn1/tasn_new.c
index 6b8ea8dd..287f2af3 100644
--- a/crypto/asn1/tasn_new.c
+++ b/crypto/asn1/tasn_new.c
@@ -13,7 +13,7 @@
#include <openssl/err.h>
#include <openssl/asn1t.h>
#include <string.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
static int asn1_item_embed_new(ASN1_VALUE **pval, const ASN1_ITEM *it,
int embed);
diff --git a/crypto/asn1/tasn_prn.c b/crypto/asn1/tasn_prn.c
index 1fb66f10..56d5ea0f 100644
--- a/crypto/asn1/tasn_prn.c
+++ b/crypto/asn1/tasn_prn.c
@@ -15,8 +15,8 @@
#include <openssl/buffer.h>
#include <openssl/err.h>
#include <openssl/x509v3.h>
-#include "internal/asn1_int.h"
-#include "asn1_locl.h"
+#include "crypto/asn1.h"
+#include "asn1_local.h"
/*
* Print routines.
diff --git a/crypto/asn1/tasn_scn.c b/crypto/asn1/tasn_scn.c
index e1df2cfc..f0f218ae 100644
--- a/crypto/asn1/tasn_scn.c
+++ b/crypto/asn1/tasn_scn.c
@@ -15,7 +15,7 @@
#include <openssl/buffer.h>
#include <openssl/err.h>
#include <openssl/x509v3.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
/*
* General ASN1 structure recursive scanner: iterate through all fields
diff --git a/crypto/asn1/tasn_utl.c b/crypto/asn1/tasn_utl.c
index 7ceecffc..a448685e 100644
--- a/crypto/asn1/tasn_utl.c
+++ b/crypto/asn1/tasn_utl.c
@@ -15,7 +15,7 @@
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include <openssl/err.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
/* Utility functions for manipulating fields and offsets */
diff --git a/crypto/asn1/x_algor.c b/crypto/asn1/x_algor.c
index 853d45b8..c9a8f1e9 100644
--- a/crypto/asn1/x_algor.c
+++ b/crypto/asn1/x_algor.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1998-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1998-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,7 +11,7 @@
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
ASN1_SEQUENCE(X509_ALGOR) = {
ASN1_SIMPLE(X509_ALGOR, algorithm, ASN1_OBJECT),
@@ -92,3 +92,35 @@ int X509_ALGOR_cmp(const X509_ALGOR *a, const X509_ALGOR *b)
return 0;
return ASN1_TYPE_cmp(a->parameter, b->parameter);
}
+
+int X509_ALGOR_copy(X509_ALGOR *dest, const X509_ALGOR *src)
+{
+ if (src == NULL || dest == NULL)
+ return 0;
+
+ if (dest->algorithm)
+ ASN1_OBJECT_free(dest->algorithm);
+ dest->algorithm = NULL;
+
+ if (dest->parameter)
+ ASN1_TYPE_free(dest->parameter);
+ dest->parameter = NULL;
+
+ if (src->algorithm)
+ if ((dest->algorithm = OBJ_dup(src->algorithm)) == NULL)
+ return 0;
+
+ if (src->parameter) {
+ dest->parameter = ASN1_TYPE_new();
+ if (dest->parameter == NULL)
+ return 0;
+
+ /* Assuming this is also correct for a BOOL.
+ * set does copy as a side effect.
+ */
+ if (ASN1_TYPE_set1(dest->parameter,
+ src->parameter->type, src->parameter->value.ptr) == 0)
+ return 0;
+ }
+ return 1;
+}
diff --git a/crypto/asn1/x_bignum.c b/crypto/asn1/x_bignum.c
index 6c93ea75..c6b3accd 100644
--- a/crypto/asn1/x_bignum.c
+++ b/crypto/asn1/x_bignum.c
@@ -82,7 +82,7 @@ static int bn_secure_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
static void bn_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
- if (!*pval)
+ if (*pval == NULL)
return;
if (it->size & BN_SENSITIVE)
BN_clear_free((BIGNUM *)*pval);
@@ -96,7 +96,7 @@ static int bn_i2c(ASN1_VALUE **pval, unsigned char *cont, int *putype,
{
BIGNUM *bn;
int pad;
- if (!*pval)
+ if (*pval == NULL)
return -1;
bn = (BIGNUM *)*pval;
/* If MSB set in an octet we need a padding byte */
@@ -133,7 +133,7 @@ static int bn_secure_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int ret;
BIGNUM *bn;
- if (!*pval && !bn_secure_new(pval, it))
+ if (*pval == NULL && !bn_secure_new(pval, it))
return 0;
ret = bn_c2i(pval, cont, len, utype, free_cont, it);
diff --git a/crypto/asn1/x_int64.c b/crypto/asn1/x_int64.c
index 0ee552cf..96c1a259 100644
--- a/crypto/asn1/x_int64.c
+++ b/crypto/asn1/x_int64.c
@@ -12,7 +12,7 @@
#include "internal/numbers.h"
#include <openssl/asn1t.h>
#include <openssl/bn.h>
-#include "asn1_locl.h"
+#include "asn1_local.h"
/*
* Custom primitive types for handling int32_t, int64_t, uint32_t, uint64_t.
diff --git a/crypto/asn1/x_sig.c b/crypto/asn1/x_sig.c
index e465cf2d..fb24e240 100644
--- a/crypto/asn1/x_sig.c
+++ b/crypto/asn1/x_sig.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
ASN1_SEQUENCE(X509_SIG) = {
ASN1_SIMPLE(X509_SIG, algor, X509_ALGOR),
diff --git a/crypto/async/arch/async_null.c b/crypto/async/arch/async_null.c
index 3eaf170f..26801f87 100644
--- a/crypto/async/arch/async_null.c
+++ b/crypto/async/arch/async_null.c
@@ -8,7 +8,7 @@
*/
/* This must be the first #include file */
-#include "../async_locl.h"
+#include "../async_local.h"
#ifdef ASYNC_NULL
int ASYNC_is_capable(void)
diff --git a/crypto/async/arch/async_posix.c b/crypto/async/arch/async_posix.c
index 02c342d3..95678d4f 100644
--- a/crypto/async/arch/async_posix.c
+++ b/crypto/async/arch/async_posix.c
@@ -8,7 +8,7 @@
*/
/* This must be the first #include file */
-#include "../async_locl.h"
+#include "../async_local.h"
#ifdef ASYNC_POSIX
diff --git a/crypto/async/arch/async_posix.h b/crypto/async/arch/async_posix.h
index 62449fe6..873c0316 100644
--- a/crypto/async/arch/async_posix.h
+++ b/crypto/async/arch/async_posix.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef OPENSSL_ASYNC_ARCH_ASYNC_POSIX_H
-#define OPENSSL_ASYNC_ARCH_ASYNC_POSIX_H
+#ifndef OSSL_CRYPTO_ASYNC_POSIX_H
+#define OSSL_CRYPTO_ASYNC_POSIX_H
#include <openssl/e_os2.h>
#if defined(OPENSSL_SYS_UNIX) \
@@ -55,4 +55,4 @@ void async_fibre_free(async_fibre *fibre);
# endif
#endif
-#endif /* OPENSSL_ASYNC_ARCH_ASYNC_POSIX_H */
+#endif /* OSSL_CRYPTO_ASYNC_POSIX_H */
diff --git a/crypto/async/arch/async_win.c b/crypto/async/arch/async_win.c
index 077d56ce..1f360d89 100644
--- a/crypto/async/arch/async_win.c
+++ b/crypto/async/arch/async_win.c
@@ -8,7 +8,7 @@
*/
/* This must be the first #include file */
-#include "../async_locl.h"
+#include "../async_local.h"
#ifdef ASYNC_WIN
diff --git a/crypto/async/async.c b/crypto/async/async.c
index 1d83e457..326015c6 100644
--- a/crypto/async/async.c
+++ b/crypto/async/async.c
@@ -16,10 +16,10 @@
#undef _FORTIFY_SOURCE
/* This must be the first #include file */
-#include "async_locl.h"
+#include "async_local.h"
#include <openssl/err.h>
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include <string.h>
#define ASYNC_JOB_RUNNING 0
diff --git a/crypto/async/async_locl.h b/crypto/async/async_local.h
similarity index 98%
rename from crypto/async/async_locl.h
rename to crypto/async/async_local.h
index d7790293..dd1a85e0 100644
--- a/crypto/async/async_locl.h
+++ b/crypto/async/async_local.h
@@ -20,7 +20,7 @@
# include <windows.h>
#endif
-#include "internal/async.h"
+#include "crypto/async.h"
#include <openssl/crypto.h>
typedef struct async_ctx_st async_ctx;
diff --git a/crypto/async/async_wait.c b/crypto/async/async_wait.c
index b23e43e8..7723f949 100644
--- a/crypto/async/async_wait.c
+++ b/crypto/async/async_wait.c
@@ -8,7 +8,7 @@
*/
/* This must be the first #include file */
-#include "async_locl.h"
+#include "async_local.h"
#include <openssl/err.h>
diff --git a/crypto/bf/asm/bf-586.pl b/crypto/bf/asm/bf-586.pl
index 4e913aec..cddc17bd 100644
--- a/crypto/bf/asm/bf-586.pl
+++ b/crypto/bf/asm/bf-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -32,7 +32,7 @@ $tmp4="edx";
&cbc("BF_cbc_encrypt","BF_encrypt","BF_decrypt",1,4,5,3,-1,-1);
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub BF_encrypt
{
diff --git a/crypto/bf/bf_cfb64.c b/crypto/bf/bf_cfb64.c
index ce6e13b5..12332c54 100644
--- a/crypto/bf/bf_cfb64.c
+++ b/crypto/bf/bf_cfb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/blowfish.h>
-#include "bf_locl.h"
+#include "bf_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/bf/bf_ecb.c b/crypto/bf/bf_ecb.c
index dc1becdb..38e784cc 100644
--- a/crypto/bf/bf_ecb.c
+++ b/crypto/bf/bf_ecb.c
@@ -8,7 +8,7 @@
*/
#include <openssl/blowfish.h>
-#include "bf_locl.h"
+#include "bf_local.h"
#include <openssl/opensslv.h>
/*
diff --git a/crypto/bf/bf_enc.c b/crypto/bf/bf_enc.c
index 67c0d78a..423a4697 100644
--- a/crypto/bf/bf_enc.c
+++ b/crypto/bf/bf_enc.c
@@ -8,7 +8,7 @@
*/
#include <openssl/blowfish.h>
-#include "bf_locl.h"
+#include "bf_local.h"
/*
* Blowfish as implemented from 'Blowfish: Springer-Verlag paper' (From
diff --git a/crypto/bf/bf_locl.h b/crypto/bf/bf_local.h
similarity index 98%
rename from crypto/bf/bf_locl.h
rename to crypto/bf/bf_local.h
index b1a415e5..8c76976f 100644
--- a/crypto/bf/bf_locl.h
+++ b/crypto/bf/bf_local.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_BF_LOCL_H
-# define HEADER_BF_LOCL_H
+#ifndef OSSL_CRYPTO_BF_LOCAL_H
+# define OSSL_CRYPTO_BF_LOCAL_H
# include <openssl/opensslconf.h>
/* NOTE - c is not incremented as per n2l */
diff --git a/crypto/bf/bf_ofb64.c b/crypto/bf/bf_ofb64.c
index 6418217b..5d75401f 100644
--- a/crypto/bf/bf_ofb64.c
+++ b/crypto/bf/bf_ofb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/blowfish.h>
-#include "bf_locl.h"
+#include "bf_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/bf/bf_skey.c b/crypto/bf/bf_skey.c
index a4903a2a..ed29cf91 100644
--- a/crypto/bf/bf_skey.c
+++ b/crypto/bf/bf_skey.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <string.h>
#include <openssl/blowfish.h>
-#include "bf_locl.h"
+#include "bf_local.h"
#include "bf_pi.h"
void BF_set_key(BF_KEY *key, int len, const unsigned char *data)
diff --git a/crypto/bio/b_addr.c b/crypto/bio/b_addr.c
index dd5008e6..b023bbda 100644
--- a/crypto/bio/b_addr.c
+++ b/crypto/bio/b_addr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,10 +7,14 @@
* https://www.openssl.org/source/license.html
*/
+#ifndef _GNU_SOURCE
+# define _GNU_SOURCE
+#endif
+
#include <assert.h>
#include <string.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include <openssl/crypto.h>
#ifndef OPENSSL_NO_SOCK
@@ -22,7 +26,7 @@ CRYPTO_RWLOCK *bio_lookup_lock;
static CRYPTO_ONCE bio_lookup_init = CRYPTO_ONCE_STATIC_INIT;
/*
- * Throughout this file and bio_lcl.h, the existence of the macro
+ * Throughout this file and bio_local.h, the existence of the macro
* AI_PASSIVE is used to detect the availability of struct addrinfo,
* getnameinfo() and getaddrinfo(). If that macro doesn't exist,
* we use our own implementation instead, using gethostbyname,
@@ -694,9 +698,11 @@ int BIO_lookup_ex(const char *host, const char *service, int lookup_type,
hints.ai_flags |= AI_PASSIVE;
/* Note that |res| SHOULD be a 'struct addrinfo **' thanks to
- * macro magic in bio_lcl.h
+ * macro magic in bio_local.h
*/
+# if defined(AI_ADDRCONFIG) && defined(AI_NUMERICHOST)
retry:
+# endif
switch ((gai_ret = getaddrinfo(host, service, &hints, res))) {
# ifdef EAI_SYSTEM
case EAI_SYSTEM:
diff --git a/crypto/bio/b_dump.c b/crypto/bio/b_dump.c
index 0d06414e..f175e244 100644
--- a/crypto/bio/b_dump.c
+++ b/crypto/bio/b_dump.c
@@ -12,7 +12,7 @@
*/
#include <stdio.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#define DUMP_WIDTH 16
#define DUMP_WIDTH_LESS_INDENT(i) (DUMP_WIDTH - ((i - (i > 6 ? 6 : i) + 3) / 4))
@@ -36,8 +36,8 @@ int BIO_dump_indent_cb(int (*cb) (const void *data, size_t len, void *u),
if (indent < 0)
indent = 0;
- else if (indent > 128)
- indent = 128;
+ else if (indent > 64)
+ indent = 64;
dump_width = DUMP_WIDTH_LESS_INDENT(indent);
rows = len / dump_width;
diff --git a/crypto/bio/b_print.c b/crypto/bio/b_print.c
index 9e907fca..41b7f5e2 100644
--- a/crypto/bio/b_print.c
+++ b/crypto/bio/b_print.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <string.h>
#include "internal/cryptlib.h"
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/numbers.h"
#include <openssl/bio.h>
@@ -635,7 +635,11 @@ fmtfp(char **sbuffer,
fvalue = tmpvalue;
}
ufvalue = abs_val(fvalue);
- if (ufvalue > ULONG_MAX) {
+ /*
+ * By subtracting 65535 (2^16-1) we cancel the low order 15 bits
+ * of ULONG_MAX to avoid using imprecise floating point values.
+ */
+ if (ufvalue >= (double)(ULONG_MAX - 65535) + 65536.0) {
/* Number too big */
return 0;
}
diff --git a/crypto/bio/b_sock.c b/crypto/bio/b_sock.c
index e7a24d02..df431e6d 100644
--- a/crypto/bio/b_sock.c
+++ b/crypto/bio/b_sock.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <stdlib.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#ifndef OPENSSL_NO_SOCK
# define SOCKET_PROTOCOL IPPROTO_TCP
# ifdef SO_MAXCONN
diff --git a/crypto/bio/b_sock2.c b/crypto/bio/b_sock2.c
index 5d82ab22..335dfabc 100644
--- a/crypto/bio/b_sock2.c
+++ b/crypto/bio/b_sock2.c
@@ -11,7 +11,7 @@
#include <stdlib.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include <openssl/err.h>
diff --git a/crypto/bio/bf_buff.c b/crypto/bio/bf_buff.c
index 8e87a629..51ae1f91 100644
--- a/crypto/bio/bf_buff.c
+++ b/crypto/bio/bf_buff.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
static int buffer_write(BIO *h, const char *buf, int num);
diff --git a/crypto/bio/bf_lbuf.c b/crypto/bio/bf_lbuf.c
index 194c7b8a..72f99018 100644
--- a/crypto/bio/bf_lbuf.c
+++ b/crypto/bio/bf_lbuf.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
#include <openssl/evp.h>
diff --git a/crypto/bio/bf_nbio.c b/crypto/bio/bf_nbio.c
index 4bc84eeb..dd7011ab 100644
--- a/crypto/bio/bf_nbio.c
+++ b/crypto/bio/bf_nbio.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
#include <openssl/rand.h>
diff --git a/crypto/bio/bf_null.c b/crypto/bio/bf_null.c
index 613fb2e0..48c6be69 100644
--- a/crypto/bio/bf_null.c
+++ b/crypto/bio/bf_null.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
/*
diff --git a/crypto/bio/bio_cb.c b/crypto/bio/bio_cb.c
index 1154c233..a153100a 100644
--- a/crypto/bio/bio_cb.c
+++ b/crypto/bio/bio_cb.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
#include <openssl/err.h>
diff --git a/crypto/bio/bio_lib.c b/crypto/bio/bio_lib.c
index ca375b91..d2202e53 100644
--- a/crypto/bio/bio_lib.c
+++ b/crypto/bio/bio_lib.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <errno.h>
#include <openssl/crypto.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
diff --git a/crypto/bio/bio_lcl.h b/crypto/bio/bio_local.h
similarity index 97%
rename from crypto/bio/bio_lcl.h
rename to crypto/bio/bio_local.h
index e2c05a20..8b212212 100644
--- a/crypto/bio/bio_lcl.h
+++ b/crypto/bio/bio_local.h
@@ -27,11 +27,11 @@
* For clarity, we check for internal/cryptlib.h since it's a common header
* that also includes bio.h.
*/
-# ifdef HEADER_CRYPTLIB_H
-# error internal/cryptlib.h included before bio_lcl.h
+# ifdef OSSL_INTERNAL_CRYPTLIB_H
+# error internal/cryptlib.h included before bio_local.h
# endif
# ifdef HEADER_BIO_H
-# error openssl/bio.h included before bio_lcl.h
+# error openssl/bio.h included before bio_local.h
# endif
/*
diff --git a/crypto/bio/bio_meth.c b/crypto/bio/bio_meth.c
index 493ff63a..da116461 100644
--- a/crypto/bio/bio_meth.c
+++ b/crypto/bio/bio_meth.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/thread_once.h"
CRYPTO_RWLOCK *bio_type_lock = NULL;
diff --git a/crypto/bio/bss_acpt.c b/crypto/bio/bss_acpt.c
index 993e5903..4461eae2 100644
--- a/crypto/bio/bss_acpt.c
+++ b/crypto/bio/bss_acpt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#ifndef OPENSSL_NO_SOCK
@@ -222,10 +222,10 @@ static int acpt_state(BIO *b, BIO_ACCEPT *c)
break;
case ACPT_S_CREATE_SOCKET:
- ret = BIO_socket(BIO_ADDRINFO_family(c->addr_iter),
- BIO_ADDRINFO_socktype(c->addr_iter),
- BIO_ADDRINFO_protocol(c->addr_iter), 0);
- if (ret == (int)INVALID_SOCKET) {
+ s = BIO_socket(BIO_ADDRINFO_family(c->addr_iter),
+ BIO_ADDRINFO_socktype(c->addr_iter),
+ BIO_ADDRINFO_protocol(c->addr_iter), 0);
+ if (s == (int)INVALID_SOCKET) {
SYSerr(SYS_F_SOCKET, get_last_socket_error());
ERR_add_error_data(4,
"hostname=", c->param_addr,
@@ -233,9 +233,10 @@ static int acpt_state(BIO *b, BIO_ACCEPT *c)
BIOerr(BIO_F_ACPT_STATE, BIO_R_UNABLE_TO_CREATE_SOCKET);
goto exit_loop;
}
- c->accept_sock = ret;
- b->num = ret;
+ c->accept_sock = s;
+ b->num = s;
c->state = ACPT_S_LISTEN;
+ s = -1;
break;
case ACPT_S_LISTEN:
@@ -433,8 +434,10 @@ static long acpt_ctrl(BIO *b, int cmd, long num, void *ptr)
b->init = 1;
} else if (num == 1) {
OPENSSL_free(data->param_serv);
- data->param_serv = BUF_strdup(ptr);
- b->init = 1;
+ if ((data->param_serv = OPENSSL_strdup(ptr)) == NULL)
+ ret = 0;
+ else
+ b->init = 1;
} else if (num == 2) {
data->bind_mode |= BIO_SOCK_NONBLOCK;
} else if (num == 3) {
@@ -527,7 +530,12 @@ static long acpt_ctrl(BIO *b, int cmd, long num, void *ptr)
break;
case BIO_CTRL_DUP:
break;
-
+ case BIO_CTRL_EOF:
+ if (b->next_bio == NULL)
+ ret = 0;
+ else
+ ret = BIO_ctrl(b->next_bio, cmd, num, ptr);
+ break;
default:
ret = 0;
break;
diff --git a/crypto/bio/bss_bio.c b/crypto/bio/bss_bio.c
index e34382c5..c97349e4 100644
--- a/crypto/bio/bss_bio.c
+++ b/crypto/bio/bss_bio.c
@@ -21,7 +21,7 @@
#include <stdlib.h>
#include <string.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include <openssl/err.h>
#include <openssl/crypto.h>
diff --git a/crypto/bio/bss_conn.c b/crypto/bio/bss_conn.c
index e9673fe7..807a82b2 100644
--- a/crypto/bio/bss_conn.c
+++ b/crypto/bio/bss_conn.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#ifndef OPENSSL_NO_SOCK
@@ -54,6 +54,7 @@ void BIO_CONNECT_free(BIO_CONNECT *a);
#define BIO_CONN_S_CONNECT 4
#define BIO_CONN_S_OK 5
#define BIO_CONN_S_BLOCKED_CONNECT 6
+#define BIO_CONN_S_CONNECT_ERROR 7
static const BIO_METHOD methods_connectp = {
BIO_TYPE_CONNECT,
@@ -174,7 +175,8 @@ static int conn_state(BIO *b, BIO_CONNECT *c)
ERR_add_error_data(4,
"hostname=", c->param_hostname,
" service=", c->param_service);
- BIOerr(BIO_F_CONN_STATE, BIO_R_CONNECT_ERROR);
+ c->state = BIO_CONN_S_CONNECT_ERROR;
+ break;
}
goto exit_loop;
} else {
@@ -184,8 +186,17 @@ static int conn_state(BIO *b, BIO_CONNECT *c)
case BIO_CONN_S_BLOCKED_CONNECT:
i = BIO_sock_error(b->num);
- if (i) {
+ if (i != 0) {
BIO_clear_retry_flags(b);
+ if ((c->addr_iter = BIO_ADDRINFO_next(c->addr_iter)) != NULL) {
+ /*
+ * if there are more addresses to try, do that first
+ */
+ BIO_closesocket(b->num);
+ c->state = BIO_CONN_S_CREATE_SOCKET;
+ ERR_clear_error();
+ break;
+ }
SYSerr(SYS_F_CONNECT, i);
ERR_add_error_data(4,
"hostname=", c->param_hostname,
@@ -197,6 +208,11 @@ static int conn_state(BIO *b, BIO_CONNECT *c)
c->state = BIO_CONN_S_OK;
break;
+ case BIO_CONN_S_CONNECT_ERROR:
+ BIOerr(BIO_F_CONN_STATE, BIO_R_CONNECT_ERROR);
+ ret = 0;
+ goto exit_loop;
+
case BIO_CONN_S_OK:
ret = 1;
goto exit_loop;
@@ -309,6 +325,8 @@ static int conn_read(BIO *b, char *out, int outl)
if (ret <= 0) {
if (BIO_sock_should_retry(ret))
BIO_set_retry_read(b);
+ else if (ret == 0)
+ b->flags |= BIO_FLAGS_IN_EOF;
}
}
return ret;
@@ -398,12 +416,13 @@ static long conn_ctrl(BIO *b, int cmd, long num, void *ptr)
case BIO_C_SET_CONNECT:
if (ptr != NULL) {
b->init = 1;
- if (num == 0) {
+ if (num == 0) { /* BIO_set_conn_hostname */
char *hold_service = data->param_service;
/* We affect the hostname regardless. However, the input
* string might contain a host:service spec, so we must
* parse it, which might or might not affect the service
*/
+
OPENSSL_free(data->param_hostname);
data->param_hostname = NULL;
ret = BIO_parse_hostserv(ptr,
@@ -412,19 +431,29 @@ static long conn_ctrl(BIO *b, int cmd, long num, void *ptr)
BIO_PARSE_PRIO_HOST);
if (hold_service != data->param_service)
OPENSSL_free(hold_service);
- } else if (num == 1) {
+ } else if (num == 1) { /* BIO_set_conn_port */
OPENSSL_free(data->param_service);
- data->param_service = BUF_strdup(ptr);
- } else if (num == 2) {
+ if ((data->param_service = OPENSSL_strdup(ptr)) == NULL)
+ ret = 0;
+ } else if (num == 2) { /* BIO_set_conn_address */
const BIO_ADDR *addr = (const BIO_ADDR *)ptr;
+ char *host = BIO_ADDR_hostname_string(addr, 1);
+ char *service = BIO_ADDR_service_string(addr, 1);
+
+ ret = host != NULL && service != NULL;
if (ret) {
- data->param_hostname = BIO_ADDR_hostname_string(addr, 1);
- data->param_service = BIO_ADDR_service_string(addr, 1);
+ OPENSSL_free(data->param_hostname);
+ data->param_hostname = host;
+ OPENSSL_free(data->param_service);
+ data->param_service = service;
BIO_ADDRINFO_free(data->addr_first);
data->addr_first = NULL;
data->addr_iter = NULL;
+ } else {
+ OPENSSL_free(host);
+ OPENSSL_free(service);
}
- } else if (num == 3) {
+ } else if (num == 3) { /* BIO_set_conn_ip_family */
data->connect_family = *(int *)ptr;
} else {
ret = 0;
@@ -488,6 +517,9 @@ static long conn_ctrl(BIO *b, int cmd, long num, void *ptr)
*fptr = data->info_callback;
}
break;
+ case BIO_CTRL_EOF:
+ ret = (b->flags & BIO_FLAGS_IN_EOF) != 0 ? 1 : 0;
+ break;
default:
ret = 0;
break;
diff --git a/crypto/bio/bss_dgram.c b/crypto/bio/bss_dgram.c
index 55182160..942fd8b5 100644
--- a/crypto/bio/bss_dgram.c
+++ b/crypto/bio/bss_dgram.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#ifndef OPENSSL_NO_DGRAM
# ifndef OPENSSL_NO_SCTP
diff --git a/crypto/bio/bss_fd.c b/crypto/bio/bss_fd.c
index 5bc539c9..ccbe1626 100644
--- a/crypto/bio/bss_fd.c
+++ b/crypto/bio/bss_fd.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#if defined(OPENSSL_NO_POSIX_IO)
/*
@@ -123,6 +123,8 @@ static int fd_read(BIO *b, char *out, int outl)
if (ret <= 0) {
if (BIO_fd_should_retry(ret))
BIO_set_retry_read(b);
+ else if (ret == 0)
+ b->flags |= BIO_FLAGS_IN_EOF;
}
}
return ret;
@@ -186,6 +188,9 @@ static long fd_ctrl(BIO *b, int cmd, long num, void *ptr)
case BIO_CTRL_FLUSH:
ret = 1;
break;
+ case BIO_CTRL_EOF:
+ ret = (b->flags & BIO_FLAGS_IN_EOF) != 0 ? 1 : 0;
+ break;
default:
ret = 0;
break;
diff --git a/crypto/bio/bss_file.c b/crypto/bio/bss_file.c
index a2102055..1a70ce79 100644
--- a/crypto/bio/bss_file.c
+++ b/crypto/bio/bss_file.c
@@ -27,7 +27,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include <openssl/err.h>
#if !defined(OPENSSL_NO_STDIO)
diff --git a/crypto/bio/bss_log.c b/crypto/bio/bss_log.c
index e9ab932e..b9579faa 100644
--- a/crypto/bio/bss_log.c
+++ b/crypto/bio/bss_log.c
@@ -19,7 +19,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
#if defined(OPENSSL_SYS_WINCE)
diff --git a/crypto/bio/bss_mem.c b/crypto/bio/bss_mem.c
index 2d536e9d..7cb4a578 100644
--- a/crypto/bio/bss_mem.c
+++ b/crypto/bio/bss_mem.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
static int mem_write(BIO *h, const char *buf, int num);
diff --git a/crypto/bio/bss_null.c b/crypto/bio/bss_null.c
index 08f1d2bc..e73ce784 100644
--- a/crypto/bio/bss_null.c
+++ b/crypto/bio/bss_null.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
static int null_write(BIO *h, const char *buf, int num);
diff --git a/crypto/bio/bss_sock.c b/crypto/bio/bss_sock.c
index ad384532..6251f3d4 100644
--- a/crypto/bio/bss_sock.c
+++ b/crypto/bio/bss_sock.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <errno.h>
-#include "bio_lcl.h"
+#include "bio_local.h"
#include "internal/cryptlib.h"
#ifndef OPENSSL_NO_SOCK
@@ -101,6 +101,8 @@ static int sock_read(BIO *b, char *out, int outl)
if (ret <= 0) {
if (BIO_sock_should_retry(ret))
BIO_set_retry_read(b);
+ else if (ret == 0)
+ b->flags |= BIO_FLAGS_IN_EOF;
}
}
return ret;
@@ -151,6 +153,9 @@ static long sock_ctrl(BIO *b, int cmd, long num, void *ptr)
case BIO_CTRL_FLUSH:
ret = 1;
break;
+ case BIO_CTRL_EOF:
+ ret = (b->flags & BIO_FLAGS_IN_EOF) != 0 ? 1 : 0;
+ break;
default:
ret = 0;
break;
diff --git a/crypto/blake2/blake2_locl.h b/crypto/blake2/blake2_local.h
similarity index 100%
rename from crypto/blake2/blake2_locl.h
rename to crypto/blake2/blake2_local.h
diff --git a/crypto/blake2/blake2b.c b/crypto/blake2/blake2b.c
index 4b353dd4..fc6e5f1a 100644
--- a/crypto/blake2/blake2b.c
+++ b/crypto/blake2/blake2b.c
@@ -18,7 +18,7 @@
#include <string.h>
#include <openssl/crypto.h>
-#include "blake2_locl.h"
+#include "blake2_local.h"
#include "blake2_impl.h"
static const uint64_t blake2b_IV[8] =
diff --git a/crypto/blake2/blake2s.c b/crypto/blake2/blake2s.c
index 8211374d..d072e05c 100644
--- a/crypto/blake2/blake2s.c
+++ b/crypto/blake2/blake2s.c
@@ -18,7 +18,7 @@
#include <string.h>
#include <openssl/crypto.h>
-#include "blake2_locl.h"
+#include "blake2_local.h"
#include "blake2_impl.h"
static const uint32_t blake2s_IV[8] =
diff --git a/crypto/blake2/m_blake2b.c b/crypto/blake2/m_blake2b.c
index c493648c..ce4d8f95 100644
--- a/crypto/blake2/m_blake2b.c
+++ b/crypto/blake2/m_blake2b.c
@@ -20,8 +20,8 @@
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "blake2_locl.h"
-# include "internal/evp_int.h"
+# include "blake2_local.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/blake2/m_blake2s.c b/crypto/blake2/m_blake2s.c
index 83b2811e..b8fb048b 100644
--- a/crypto/blake2/m_blake2s.c
+++ b/crypto/blake2/m_blake2s.c
@@ -20,8 +20,8 @@
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "blake2_locl.h"
-# include "internal/evp_int.h"
+# include "blake2_local.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/bn/README.pod b/crypto/bn/README.pod
index 706a1403..5d5c4fa9 100644
--- a/crypto/bn/README.pod
+++ b/crypto/bn/README.pod
@@ -188,7 +188,7 @@ B<a> and the 2*B<n> word arrays B<tmp> and B<r>.
The implementations use the following macros which, depending on the
architecture, may use "long long" C operations or inline assembler.
-They are defined in C<bn_lcl.h>.
+They are defined in C<bn_local.h>.
mul(B<r>, B<a>, B<w>, B<c>) computes B<w>*B<a>+B<c> and places the
low word of the result in B<r> and the high word in B<c>.
diff --git a/crypto/bn/asm/alpha-mont.pl b/crypto/bn/asm/alpha-mont.pl
index c9b962a1..83717921 100644
--- a/crypto/bn/asm/alpha-mont.pl
+++ b/crypto/bn/asm/alpha-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -325,4 +325,4 @@ bn_mul_mont:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/armv4-gf2m.pl b/crypto/bn/asm/armv4-gf2m.pl
index 7a0cdb2e..3a83cb85 100644
--- a/crypto/bn/asm/armv4-gf2m.pl
+++ b/crypto/bn/asm/armv4-gf2m.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -329,4 +329,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/bn/asm/armv4-mont.pl b/crypto/bn/asm/armv4-mont.pl
index 6bedc62b..eadc8bbf 100644
--- a/crypto/bn/asm/armv4-mont.pl
+++ b/crypto/bn/asm/armv4-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -754,4 +754,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/armv8-mont.pl b/crypto/bn/asm/armv8-mont.pl
index d8347bf9..bc9a18dc 100755
--- a/crypto/bn/asm/armv8-mont.pl
+++ b/crypto/bn/asm/armv8-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1511,4 +1511,4 @@ ___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/bn-586.pl b/crypto/bn/asm/bn-586.pl
index 58effc88..e0422405 100644
--- a/crypto/bn/asm/bn-586.pl
+++ b/crypto/bn/asm/bn-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -31,7 +31,7 @@ for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub bn_mul_add_words
{
diff --git a/crypto/bn/asm/c64xplus-gf2m.pl b/crypto/bn/asm/c64xplus-gf2m.pl
index 9c46da3a..3bb8d120 100644
--- a/crypto/bn/asm/c64xplus-gf2m.pl
+++ b/crypto/bn/asm/c64xplus-gf2m.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -157,4 +157,4 @@ $code.=<<___;
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/co-586.pl b/crypto/bn/asm/co-586.pl
index 97f5e3a1..3c34fa88 100644
--- a/crypto/bn/asm/co-586.pl
+++ b/crypto/bn/asm/co-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -22,7 +22,7 @@ open STDOUT,">$output";
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub mul_add_c
{
@@ -39,17 +39,17 @@ sub mul_add_c
&mul("edx");
&add($c0,"eax");
- &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # laod next a
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # load next a
&mov("eax",&wparam(0)) if $pos > 0; # load r[]
###
&adc($c1,"edx");
- &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 0; # laod next b
- &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 1; # laod next b
+ &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 0; # load next b
+ &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 1; # load next b
###
&adc($c2,0);
# is pos > 1, it means it is the last loop
&mov(&DWP($i*4,"eax","",0),$c0) if $pos > 0; # save r[];
- &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # laod next a
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # load next a
}
sub sqr_add_c
diff --git a/crypto/bn/asm/ia64-mont.pl b/crypto/bn/asm/ia64-mont.pl
index ec486f77..7a4e74d7 100644
--- a/crypto/bn/asm/ia64-mont.pl
+++ b/crypto/bn/asm/ia64-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -857,4 +857,4 @@ ___
open STDOUT,">$output" if $output;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/mips-mont.pl b/crypto/bn/asm/mips-mont.pl
index fbe5d04f..3b79a4b1 100644
--- a/crypto/bn/asm/mips-mont.pl
+++ b/crypto/bn/asm/mips-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -430,4 +430,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/mips.pl b/crypto/bn/asm/mips.pl
index a205189e..8ad715bd 100644
--- a/crypto/bn/asm/mips.pl
+++ b/crypto/bn/asm/mips.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -2260,4 +2260,4 @@ $code.=<<___;
.end bn_sqr_comba4
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/parisc-mont.pl b/crypto/bn/asm/parisc-mont.pl
index aa9f626e..6a7c714a 100644
--- a/crypto/bn/asm/parisc-mont.pl
+++ b/crypto/bn/asm/parisc-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1003,4 +1003,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/ppc-mont.pl b/crypto/bn/asm/ppc-mont.pl
index ec7e019a..278314c5 100644
--- a/crypto/bn/asm/ppc-mont.pl
+++ b/crypto/bn/asm/ppc-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1987,4 +1987,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/ppc.pl b/crypto/bn/asm/ppc.pl
index d6d4e66f..a8d3f14e 100644
--- a/crypto/bn/asm/ppc.pl
+++ b/crypto/bn/asm/ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2004-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -2009,4 +2009,4 @@ Lppcasm_maw_adios:
EOF
$data =~ s/\`([^\`]*)\`/eval $1/gem;
print $data;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/ppc64-mont.pl b/crypto/bn/asm/ppc64-mont.pl
index c41b620b..b55fd46c 100644
--- a/crypto/bn/asm/ppc64-mont.pl
+++ b/crypto/bn/asm/ppc64-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1649,4 +1649,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/rsaz-avx2.pl b/crypto/bn/asm/rsaz-avx2.pl
index 85cd73c6..0be771fe 100755
--- a/crypto/bn/asm/rsaz-avx2.pl
+++ b/crypto/bn/asm/rsaz-avx2.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
# Copyright (c) 2012, Intel Corporation. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
@@ -66,7 +66,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$addx = ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|based on LLVM) ([3-9])\.([0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|based on LLVM) ([0-9]+)\.([0-9]+)/) {
my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
$avx = ($ver>=3.0) + ($ver>=3.01);
$addx = ($ver>=3.03);
@@ -1979,4 +1979,4 @@ rsaz_1024_gather5_avx2:
___
}}}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/rsaz-x86_64.pl b/crypto/bn/asm/rsaz-x86_64.pl
index b1797b64..cf08ce9b 100755
--- a/crypto/bn/asm/rsaz-x86_64.pl
+++ b/crypto/bn/asm/rsaz-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
# Copyright (c) 2012, Intel Corporation. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
@@ -81,7 +81,7 @@ if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$addx = ($1>=12);
}
-if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) {
my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
$addx = ($ver>=3.03);
}
@@ -116,7 +116,7 @@ rsaz_512_sqr: # 25-29% faster than rsaz_512_mul
subq \$128+24, %rsp
.cfi_adjust_cfa_offset 128+24
.Lsqr_body:
- movq $mod, %rbp # common argument
+ movq $mod, %xmm1 # common off-load
movq ($inp), %rdx
movq 8($inp), %rax
movq $n0, 128(%rsp)
@@ -134,7 +134,8 @@ $code.=<<___;
.Loop_sqr:
movl $times,128+8(%rsp)
#first iteration
- movq %rdx, %rbx
+ movq %rdx, %rbx # 0($inp)
+ mov %rax, %rbp # 8($inp)
mulq %rdx
movq %rax, %r8
movq 16($inp), %rax
@@ -173,31 +174,29 @@ $code.=<<___;
mulq %rbx
addq %rax, %r14
movq %rbx, %rax
- movq %rdx, %r15
- adcq \$0, %r15
+ adcq \$0, %rdx
- addq %r8, %r8 #shlq \$1, %r8
- movq %r9, %rcx
- adcq %r9, %r9 #shld \$1, %r8, %r9
+ xorq %rcx,%rcx # rcx:r8 = r8 << 1
+ addq %r8, %r8
+ movq %rdx, %r15
+ adcq \$0, %rcx
mulq %rax
- movq %rax, (%rsp)
- addq %rdx, %r8
- adcq \$0, %r9
+ addq %r8, %rdx
+ adcq \$0, %rcx
- movq %r8, 8(%rsp)
- shrq \$63, %rcx
+ movq %rax, (%rsp)
+ movq %rdx, 8(%rsp)
#second iteration
- movq 8($inp), %r8
movq 16($inp), %rax
- mulq %r8
+ mulq %rbp
addq %rax, %r10
movq 24($inp), %rax
movq %rdx, %rbx
adcq \$0, %rbx
- mulq %r8
+ mulq %rbp
addq %rax, %r11
movq 32($inp), %rax
adcq \$0, %rdx
@@ -205,7 +204,7 @@ $code.=<<___;
movq %rdx, %rbx
adcq \$0, %rbx
- mulq %r8
+ mulq %rbp
addq %rax, %r12
movq 40($inp), %rax
adcq \$0, %rdx
@@ -213,7 +212,7 @@ $code.=<<___;
movq %rdx, %rbx
adcq \$0, %rbx
- mulq %r8
+ mulq %rbp
addq %rax, %r13
movq 48($inp), %rax
adcq \$0, %rdx
@@ -221,7 +220,7 @@ $code.=<<___;
movq %rdx, %rbx
adcq \$0, %rbx
- mulq %r8
+ mulq %rbp
addq %rax, %r14
movq 56($inp), %rax
adcq \$0, %rdx
@@ -229,39 +228,39 @@ $code.=<<___;
movq %rdx, %rbx
adcq \$0, %rbx
- mulq %r8
+ mulq %rbp
addq %rax, %r15
- movq %r8, %rax
+ movq %rbp, %rax
adcq \$0, %rdx
addq %rbx, %r15
- movq %rdx, %r8
- movq %r10, %rdx
- adcq \$0, %r8
+ adcq \$0, %rdx
- add %rdx, %rdx
- lea (%rcx,%r10,2), %r10 #shld \$1, %rcx, %r10
- movq %r11, %rbx
- adcq %r11, %r11 #shld \$1, %r10, %r11
+ xorq %rbx, %rbx # rbx:r10:r9 = r10:r9 << 1
+ addq %r9, %r9
+ movq %rdx, %r8
+ adcq %r10, %r10
+ adcq \$0, %rbx
mulq %rax
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rcx, %rax
+ movq 16($inp), %rbp
addq %rax, %r9
+ movq 24($inp), %rax
adcq %rdx, %r10
- adcq \$0, %r11
+ adcq \$0, %rbx
movq %r9, 16(%rsp)
movq %r10, 24(%rsp)
- shrq \$63, %rbx
#third iteration
- movq 16($inp), %r9
- movq 24($inp), %rax
- mulq %r9
+ mulq %rbp
addq %rax, %r12
movq 32($inp), %rax
movq %rdx, %rcx
adcq \$0, %rcx
- mulq %r9
+ mulq %rbp
addq %rax, %r13
movq 40($inp), %rax
adcq \$0, %rdx
@@ -269,7 +268,7 @@ $code.=<<___;
movq %rdx, %rcx
adcq \$0, %rcx
- mulq %r9
+ mulq %rbp
addq %rax, %r14
movq 48($inp), %rax
adcq \$0, %rdx
@@ -277,9 +276,7 @@ $code.=<<___;
movq %rdx, %rcx
adcq \$0, %rcx
- mulq %r9
- movq %r12, %r10
- lea (%rbx,%r12,2), %r12 #shld \$1, %rbx, %r12
+ mulq %rbp
addq %rax, %r15
movq 56($inp), %rax
adcq \$0, %rdx
@@ -287,36 +284,40 @@ $code.=<<___;
movq %rdx, %rcx
adcq \$0, %rcx
- mulq %r9
- shrq \$63, %r10
+ mulq %rbp
addq %rax, %r8
- movq %r9, %rax
+ movq %rbp, %rax
adcq \$0, %rdx
addq %rcx, %r8
- movq %rdx, %r9
- adcq \$0, %r9
+ adcq \$0, %rdx
- movq %r13, %rcx
- leaq (%r10,%r13,2), %r13 #shld \$1, %r12, %r13
+ xorq %rcx, %rcx # rcx:r12:r11 = r12:r11 << 1
+ addq %r11, %r11
+ movq %rdx, %r9
+ adcq %r12, %r12
+ adcq \$0, %rcx
mulq %rax
+ # rbx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rbx, %rax
+ movq 24($inp), %r10
addq %rax, %r11
+ movq 32($inp), %rax
adcq %rdx, %r12
- adcq \$0, %r13
+ adcq \$0, %rcx
movq %r11, 32(%rsp)
movq %r12, 40(%rsp)
- shrq \$63, %rcx
#fourth iteration
- movq 24($inp), %r10
- movq 32($inp), %rax
+ mov %rax, %r11 # 32($inp)
mulq %r10
addq %rax, %r14
movq 40($inp), %rax
movq %rdx, %rbx
adcq \$0, %rbx
+ mov %rax, %r12 # 40($inp)
mulq %r10
addq %rax, %r15
movq 48($inp), %rax
@@ -325,9 +326,8 @@ $code.=<<___;
movq %rdx, %rbx
adcq \$0, %rbx
+ mov %rax, %rbp # 48($inp)
mulq %r10
- movq %r14, %r12
- leaq (%rcx,%r14,2), %r14 #shld \$1, %rcx, %r14
addq %rax, %r8
movq 56($inp), %rax
adcq \$0, %rdx
@@ -336,32 +336,33 @@ $code.=<<___;
adcq \$0, %rbx
mulq %r10
- shrq \$63, %r12
addq %rax, %r9
movq %r10, %rax
adcq \$0, %rdx
addq %rbx, %r9
- movq %rdx, %r10
- adcq \$0, %r10
+ adcq \$0, %rdx
- movq %r15, %rbx
- leaq (%r12,%r15,2),%r15 #shld \$1, %r14, %r15
+ xorq %rbx, %rbx # rbx:r13:r14 = r13:r14 << 1
+ addq %r13, %r13
+ movq %rdx, %r10
+ adcq %r14, %r14
+ adcq \$0, %rbx
mulq %rax
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rcx, %rax
addq %rax, %r13
+ movq %r12, %rax # 40($inp)
adcq %rdx, %r14
- adcq \$0, %r15
+ adcq \$0, %rbx
movq %r13, 48(%rsp)
movq %r14, 56(%rsp)
- shrq \$63, %rbx
#fifth iteration
- movq 32($inp), %r11
- movq 40($inp), %rax
mulq %r11
addq %rax, %r8
- movq 48($inp), %rax
+ movq %rbp, %rax # 48($inp)
movq %rdx, %rcx
adcq \$0, %rcx
@@ -369,97 +370,99 @@ $code.=<<___;
addq %rax, %r9
movq 56($inp), %rax
adcq \$0, %rdx
- movq %r8, %r12
- leaq (%rbx,%r8,2), %r8 #shld \$1, %rbx, %r8
addq %rcx, %r9
movq %rdx, %rcx
adcq \$0, %rcx
+ mov %rax, %r14 # 56($inp)
mulq %r11
- shrq \$63, %r12
addq %rax, %r10
movq %r11, %rax
adcq \$0, %rdx
addq %rcx, %r10
- movq %rdx, %r11
- adcq \$0, %r11
+ adcq \$0, %rdx
- movq %r9, %rcx
- leaq (%r12,%r9,2), %r9 #shld \$1, %r8, %r9
+ xorq %rcx, %rcx # rcx:r8:r15 = r8:r15 << 1
+ addq %r15, %r15
+ movq %rdx, %r11
+ adcq %r8, %r8
+ adcq \$0, %rcx
mulq %rax
+ # rbx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rbx, %rax
addq %rax, %r15
+ movq %rbp, %rax # 48($inp)
adcq %rdx, %r8
- adcq \$0, %r9
+ adcq \$0, %rcx
movq %r15, 64(%rsp)
movq %r8, 72(%rsp)
- shrq \$63, %rcx
#sixth iteration
- movq 40($inp), %r12
- movq 48($inp), %rax
mulq %r12
addq %rax, %r10
- movq 56($inp), %rax
+ movq %r14, %rax # 56($inp)
movq %rdx, %rbx
adcq \$0, %rbx
mulq %r12
addq %rax, %r11
movq %r12, %rax
- movq %r10, %r15
- leaq (%rcx,%r10,2), %r10 #shld \$1, %rcx, %r10
adcq \$0, %rdx
- shrq \$63, %r15
addq %rbx, %r11
- movq %rdx, %r12
- adcq \$0, %r12
+ adcq \$0, %rdx
- movq %r11, %rbx
- leaq (%r15,%r11,2), %r11 #shld \$1, %r10, %r11
+ xorq %rbx, %rbx # rbx:r10:r9 = r10:r9 << 1
+ addq %r9, %r9
+ movq %rdx, %r12
+ adcq %r10, %r10
+ adcq \$0, %rbx
mulq %rax
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rcx, %rax
addq %rax, %r9
+ movq %r14, %rax # 56($inp)
adcq %rdx, %r10
- adcq \$0, %r11
+ adcq \$0, %rbx
movq %r9, 80(%rsp)
movq %r10, 88(%rsp)
#seventh iteration
- movq 48($inp), %r13
- movq 56($inp), %rax
- mulq %r13
+ mulq %rbp
addq %rax, %r12
- movq %r13, %rax
- movq %rdx, %r13
- adcq \$0, %r13
+ movq %rbp, %rax
+ adcq \$0, %rdx
- xorq %r14, %r14
- shlq \$1, %rbx
- adcq %r12, %r12 #shld \$1, %rbx, %r12
- adcq %r13, %r13 #shld \$1, %r12, %r13
- adcq %r14, %r14 #shld \$1, %r13, %r14
+ xorq %rcx, %rcx # rcx:r12:r11 = r12:r11 << 1
+ addq %r11, %r11
+ movq %rdx, %r13
+ adcq %r12, %r12
+ adcq \$0, %rcx
mulq %rax
+ # rbx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rbx, %rax
addq %rax, %r11
+ movq %r14, %rax # 56($inp)
adcq %rdx, %r12
- adcq \$0, %r13
+ adcq \$0, %rcx
movq %r11, 96(%rsp)
movq %r12, 104(%rsp)
#eighth iteration
- movq 56($inp), %rax
- mulq %rax
- addq %rax, %r13
- adcq \$0, %rdx
-
- addq %rdx, %r14
+ xorq %rbx, %rbx # rbx:r13 = r13 << 1
+ addq %r13, %r13
+ adcq \$0, %rbx
- movq %r13, 112(%rsp)
- movq %r14, 120(%rsp)
+ mulq %rax
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ addq %rcx, %rax
+ addq %r13, %rax
+ adcq %rbx, %rdx
movq (%rsp), %r8
movq 8(%rsp), %r9
@@ -469,6 +472,10 @@ $code.=<<___;
movq 40(%rsp), %r13
movq 48(%rsp), %r14
movq 56(%rsp), %r15
+ movq %xmm1, %rbp
+
+ movq %rax, 112(%rsp)
+ movq %rdx, 120(%rsp)
call __rsaz_512_reduce
@@ -500,9 +507,9 @@ $code.=<<___;
.Loop_sqrx:
movl $times,128+8(%rsp)
movq $out, %xmm0 # off-load
- movq %rbp, %xmm1 # off-load
#first iteration
mulx %rax, %r8, %r9
+ mov %rax, %rbx
mulx 16($inp), %rcx, %r10
xor %rbp, %rbp # cf=0, of=0
@@ -510,40 +517,39 @@ $code.=<<___;
mulx 24($inp), %rax, %r11
adcx %rcx, %r9
- mulx 32($inp), %rcx, %r12
+ .byte 0xc4,0x62,0xf3,0xf6,0xa6,0x20,0x00,0x00,0x00 # mulx 32($inp), %rcx, %r12
adcx %rax, %r10
- mulx 40($inp), %rax, %r13
+ .byte 0xc4,0x62,0xfb,0xf6,0xae,0x28,0x00,0x00,0x00 # mulx 40($inp), %rax, %r13
adcx %rcx, %r11
- .byte 0xc4,0x62,0xf3,0xf6,0xb6,0x30,0x00,0x00,0x00 # mulx 48($inp), %rcx, %r14
+ mulx 48($inp), %rcx, %r14
adcx %rax, %r12
adcx %rcx, %r13
- .byte 0xc4,0x62,0xfb,0xf6,0xbe,0x38,0x00,0x00,0x00 # mulx 56($inp), %rax, %r15
+ mulx 56($inp), %rax, %r15
adcx %rax, %r14
adcx %rbp, %r15 # %rbp is 0
- mov %r9, %rcx
- shld \$1, %r8, %r9
- shl \$1, %r8
-
- xor %ebp, %ebp
- mulx %rdx, %rax, %rdx
- adcx %rdx, %r8
- mov 8($inp), %rdx
- adcx %rbp, %r9
+ mulx %rdx, %rax, $out
+ mov %rbx, %rdx # 8($inp)
+ xor %rcx, %rcx
+ adox %r8, %r8
+ adcx $out, %r8
+ adox %rbp, %rcx
+ adcx %rbp, %rcx
mov %rax, (%rsp)
mov %r8, 8(%rsp)
#second iteration
- mulx 16($inp), %rax, %rbx
+ .byte 0xc4,0xe2,0xfb,0xf6,0x9e,0x10,0x00,0x00,0x00 # mulx 16($inp), %rax, %rbx
adox %rax, %r10
adcx %rbx, %r11
- .byte 0xc4,0x62,0xc3,0xf6,0x86,0x18,0x00,0x00,0x00 # mulx 24($inp), $out, %r8
+ mulx 24($inp), $out, %r8
adox $out, %r11
+ .byte 0x66
adcx %r8, %r12
mulx 32($inp), %rax, %rbx
@@ -561,24 +567,25 @@ $code.=<<___;
.byte 0xc4,0x62,0xc3,0xf6,0x86,0x38,0x00,0x00,0x00 # mulx 56($inp), $out, %r8
adox $out, %r15
adcx %rbp, %r8
+ mulx %rdx, %rax, $out
adox %rbp, %r8
+ .byte 0x48,0x8b,0x96,0x10,0x00,0x00,0x00 # mov 16($inp), %rdx
- mov %r11, %rbx
- shld \$1, %r10, %r11
- shld \$1, %rcx, %r10
-
- xor %ebp,%ebp
- mulx %rdx, %rax, %rcx
- mov 16($inp), %rdx
+ xor %rbx, %rbx
+ adox %r9, %r9
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rcx, %rax
+ adox %r10, %r10
adcx %rax, %r9
- adcx %rcx, %r10
- adcx %rbp, %r11
+ adox %rbp, %rbx
+ adcx $out, %r10
+ adcx %rbp, %rbx
mov %r9, 16(%rsp)
.byte 0x4c,0x89,0x94,0x24,0x18,0x00,0x00,0x00 # mov %r10, 24(%rsp)
#third iteration
- .byte 0xc4,0x62,0xc3,0xf6,0x8e,0x18,0x00,0x00,0x00 # mulx 24($inp), $out, %r9
+ mulx 24($inp), $out, %r9
adox $out, %r12
adcx %r9, %r13
@@ -586,7 +593,7 @@ $code.=<<___;
adox %rax, %r13
adcx %rcx, %r14
- mulx 40($inp), $out, %r9
+ .byte 0xc4,0x62,0xc3,0xf6,0x8e,0x28,0x00,0x00,0x00 # mulx 40($inp), $out, %r9
adox $out, %r14
adcx %r9, %r15
@@ -594,27 +601,28 @@ $code.=<<___;
adox %rax, %r15
adcx %rcx, %r8
- .byte 0xc4,0x62,0xc3,0xf6,0x8e,0x38,0x00,0x00,0x00 # mulx 56($inp), $out, %r9
+ mulx 56($inp), $out, %r9
adox $out, %r8
adcx %rbp, %r9
+ mulx %rdx, %rax, $out
adox %rbp, %r9
+ mov 24($inp), %rdx
- mov %r13, %rcx
- shld \$1, %r12, %r13
- shld \$1, %rbx, %r12
-
- xor %ebp, %ebp
- mulx %rdx, %rax, %rdx
+ xor %rcx, %rcx
+ adox %r11, %r11
+ # rbx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rbx, %rax
+ adox %r12, %r12
adcx %rax, %r11
- adcx %rdx, %r12
- mov 24($inp), %rdx
- adcx %rbp, %r13
+ adox %rbp, %rcx
+ adcx $out, %r12
+ adcx %rbp, %rcx
mov %r11, 32(%rsp)
- .byte 0x4c,0x89,0xa4,0x24,0x28,0x00,0x00,0x00 # mov %r12, 40(%rsp)
+ mov %r12, 40(%rsp)
#fourth iteration
- .byte 0xc4,0xe2,0xfb,0xf6,0x9e,0x20,0x00,0x00,0x00 # mulx 32($inp), %rax, %rbx
+ mulx 32($inp), %rax, %rbx
adox %rax, %r14
adcx %rbx, %r15
@@ -629,25 +637,25 @@ $code.=<<___;
mulx 56($inp), $out, %r10
adox $out, %r9
adcx %rbp, %r10
+ mulx %rdx, %rax, $out
adox %rbp, %r10
+ mov 32($inp), %rdx
- .byte 0x66
- mov %r15, %rbx
- shld \$1, %r14, %r15
- shld \$1, %rcx, %r14
-
- xor %ebp, %ebp
- mulx %rdx, %rax, %rdx
+ xor %rbx, %rbx
+ adox %r13, %r13
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rcx, %rax
+ adox %r14, %r14
adcx %rax, %r13
- adcx %rdx, %r14
- mov 32($inp), %rdx
- adcx %rbp, %r15
+ adox %rbp, %rbx
+ adcx $out, %r14
+ adcx %rbp, %rbx
mov %r13, 48(%rsp)
mov %r14, 56(%rsp)
#fifth iteration
- .byte 0xc4,0x62,0xc3,0xf6,0x9e,0x28,0x00,0x00,0x00 # mulx 40($inp), $out, %r11
+ mulx 40($inp), $out, %r11
adox $out, %r8
adcx %r11, %r9
@@ -658,18 +666,19 @@ $code.=<<___;
mulx 56($inp), $out, %r11
adox $out, %r10
adcx %rbp, %r11
+ mulx %rdx, %rax, $out
+ mov 40($inp), %rdx
adox %rbp, %r11
- mov %r9, %rcx
- shld \$1, %r8, %r9
- shld \$1, %rbx, %r8
-
- xor %ebp, %ebp
- mulx %rdx, %rax, %rdx
+ xor %rcx, %rcx
+ adox %r15, %r15
+ # rbx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rbx, %rax
+ adox %r8, %r8
adcx %rax, %r15
- adcx %rdx, %r8
- mov 40($inp), %rdx
- adcx %rbp, %r9
+ adox %rbp, %rcx
+ adcx $out, %r8
+ adcx %rbp, %rcx
mov %r15, 64(%rsp)
mov %r8, 72(%rsp)
@@ -682,18 +691,19 @@ $code.=<<___;
.byte 0xc4,0x62,0xc3,0xf6,0xa6,0x38,0x00,0x00,0x00 # mulx 56($inp), $out, %r12
adox $out, %r11
adcx %rbp, %r12
+ mulx %rdx, %rax, $out
adox %rbp, %r12
+ mov 48($inp), %rdx
- mov %r11, %rbx
- shld \$1, %r10, %r11
- shld \$1, %rcx, %r10
-
- xor %ebp, %ebp
- mulx %rdx, %rax, %rdx
+ xor %rbx, %rbx
+ adox %r9, %r9
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rcx, %rax
+ adox %r10, %r10
adcx %rax, %r9
- adcx %rdx, %r10
- mov 48($inp), %rdx
- adcx %rbp, %r11
+ adcx $out, %r10
+ adox %rbp, %rbx
+ adcx %rbp, %rbx
mov %r9, 80(%rsp)
mov %r10, 88(%rsp)
@@ -703,31 +713,31 @@ $code.=<<___;
adox %rax, %r12
adox %rbp, %r13
- xor %r14, %r14
- shld \$1, %r13, %r14
- shld \$1, %r12, %r13
- shld \$1, %rbx, %r12
-
- xor %ebp, %ebp
- mulx %rdx, %rax, %rdx
- adcx %rax, %r11
- adcx %rdx, %r12
+ mulx %rdx, %rax, $out
+ xor %rcx, %rcx
mov 56($inp), %rdx
- adcx %rbp, %r13
+ adox %r11, %r11
+ # rbx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rbx, %rax
+ adox %r12, %r12
+ adcx %rax, %r11
+ adox %rbp, %rcx
+ adcx $out, %r12
+ adcx %rbp, %rcx
.byte 0x4c,0x89,0x9c,0x24,0x60,0x00,0x00,0x00 # mov %r11, 96(%rsp)
.byte 0x4c,0x89,0xa4,0x24,0x68,0x00,0x00,0x00 # mov %r12, 104(%rsp)
#eighth iteration
mulx %rdx, %rax, %rdx
- adox %rax, %r13
- adox %rbp, %rdx
+ xor %rbx, %rbx
+ adox %r13, %r13
+ # rcx <= 2 and rax <= 0xFFFF..F9, so carry must be zero here
+ adcx %rcx, %rax
+ adox %rbp, %rbx
+ adcx %r13, %rax
+ adcx %rdx, %rbx
- .byte 0x66
- add %rdx, %r14
-
- movq %r13, 112(%rsp)
- movq %r14, 120(%rsp)
movq %xmm0, $out
movq %xmm1, %rbp
@@ -741,6 +751,9 @@ $code.=<<___;
movq 48(%rsp), %r14
movq 56(%rsp), %r15
+ movq %rax, 112(%rsp)
+ movq %rbx, 120(%rsp)
+
call __rsaz_512_reducex
addq 64(%rsp), %r8
@@ -1606,6 +1619,7 @@ $code.=<<___;
.type __rsaz_512_reduce,\@abi-omnipotent
.align 32
__rsaz_512_reduce:
+.cfi_startproc
movq %r8, %rbx
imulq 128+8(%rsp), %rbx
movq 0(%rbp), %rax
@@ -1685,6 +1699,7 @@ __rsaz_512_reduce:
jne .Lreduction_loop
ret
+.cfi_endproc
.size __rsaz_512_reduce,.-__rsaz_512_reduce
___
}
@@ -1698,6 +1713,7 @@ $code.=<<___;
.type __rsaz_512_reducex,\@abi-omnipotent
.align 32
__rsaz_512_reducex:
+.cfi_startproc
#movq 128+8(%rsp), %rdx # pull $n0
imulq %r8, %rdx
xorq %rsi, %rsi # cf=0,of=0
@@ -1750,6 +1766,7 @@ __rsaz_512_reducex:
jne .Lreduction_loopx
ret
+.cfi_endproc
.size __rsaz_512_reducex,.-__rsaz_512_reducex
___
}
@@ -1761,6 +1778,7 @@ $code.=<<___;
.type __rsaz_512_subtract,\@abi-omnipotent
.align 32
__rsaz_512_subtract:
+.cfi_startproc
movq %r8, ($out)
movq %r9, 8($out)
movq %r10, 16($out)
@@ -1814,6 +1832,7 @@ __rsaz_512_subtract:
movq %r15, 56($out)
ret
+.cfi_endproc
.size __rsaz_512_subtract,.-__rsaz_512_subtract
___
}
@@ -1827,6 +1846,7 @@ $code.=<<___;
.type __rsaz_512_mul,\@abi-omnipotent
.align 32
__rsaz_512_mul:
+.cfi_startproc
leaq 8(%rsp), %rdi
movq ($ap), %rax
@@ -1965,6 +1985,7 @@ __rsaz_512_mul:
movq %r15, 56(%rdi)
ret
+.cfi_endproc
.size __rsaz_512_mul,.-__rsaz_512_mul
___
}
@@ -1979,6 +2000,7 @@ $code.=<<___;
.type __rsaz_512_mulx,\@abi-omnipotent
.align 32
__rsaz_512_mulx:
+.cfi_startproc
mulx ($ap), %rbx, %r8 # initial %rdx preloaded by caller
mov \$-6, %rcx
@@ -2095,6 +2117,7 @@ __rsaz_512_mulx:
mov %r15, 8+64+56(%rsp)
ret
+.cfi_endproc
.size __rsaz_512_mulx,.-__rsaz_512_mulx
___
}
@@ -2105,6 +2128,7 @@ $code.=<<___;
.type rsaz_512_scatter4,\@abi-omnipotent
.align 16
rsaz_512_scatter4:
+.cfi_startproc
leaq ($out,$power,8), $out
movl \$8, %r9d
jmp .Loop_scatter
@@ -2117,12 +2141,14 @@ rsaz_512_scatter4:
decl %r9d
jnz .Loop_scatter
ret
+.cfi_endproc
.size rsaz_512_scatter4,.-rsaz_512_scatter4
.globl rsaz_512_gather4
.type rsaz_512_gather4,\@abi-omnipotent
.align 16
rsaz_512_gather4:
+.cfi_startproc
___
$code.=<<___ if ($win64);
.LSEH_begin_rsaz_512_gather4:
@@ -2217,6 +2243,7 @@ ___
$code.=<<___;
ret
.LSEH_end_rsaz_512_gather4:
+.cfi_endproc
.size rsaz_512_gather4,.-rsaz_512_gather4
.align 64
@@ -2401,4 +2428,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/s390x-gf2m.pl b/crypto/bn/asm/s390x-gf2m.pl
index 06181bf9..a7e4b8a9 100644
--- a/crypto/bn/asm/s390x-gf2m.pl
+++ b/crypto/bn/asm/s390x-gf2m.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -225,4 +225,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/s390x-mont.pl b/crypto/bn/asm/s390x-mont.pl
index c2fc5adf..bc8c8951 100644
--- a/crypto/bn/asm/s390x-mont.pl
+++ b/crypto/bn/asm/s390x-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -145,7 +145,7 @@ $code.=<<___;
lghi $NHI,0
alcgr $NHI,$nhi
- la $j,8(%r0) # j=1
+ la $j,8 # j=1
lr $count,$num
.align 16
@@ -197,7 +197,7 @@ $code.=<<___;
lghi $NHI,0
alcgr $NHI,$nhi
- la $j,8(%r0) # j=1
+ la $j,8 # j=1
lr $count,$num
.align 16
@@ -241,7 +241,7 @@ $code.=<<___;
la $ap,$stdframe($sp)
ahi $num,1 # restore $num, incidentally clears "borrow"
- la $j,0(%r0)
+ la $j,0
lr $count,$num
.Lsub: lg $alo,0($j,$ap)
lg $nlo,0($j,$np)
@@ -255,7 +255,7 @@ $code.=<<___;
lghi $NHI,-1
xgr $NHI,$AHI
- la $j,0(%r0)
+ la $j,0
lgr $count,$num
.Lcopy: lg $ahi,$stdframe($j,$sp) # conditional copy
lg $alo,0($j,$rp)
@@ -281,4 +281,4 @@ foreach (split("\n",$code)) {
s/_dswap\s+(%r[0-9]+)/sprintf("rllg\t%s,%s,32",$1,$1) if($SIZE_T==4)/e;
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/s390x.S b/crypto/bn/asm/s390x.S
index 292a7a99..b666c41a 100644
--- a/crypto/bn/asm/s390x.S
+++ b/crypto/bn/asm/s390x.S
@@ -511,7 +511,7 @@ bn_mul_comba4:
lghi zero,0
mul_add_c(0,0,c1,c2,c3);
- stg c1,0*8(%r3)
+ stg c1,0*8(%r2)
lghi c1,0
mul_add_c(0,1,c2,c3,c1);
diff --git a/crypto/bn/asm/sparct4-mont.pl b/crypto/bn/asm/sparct4-mont.pl
index fcae9cfc..62e297a0 100755
--- a/crypto/bn/asm/sparct4-mont.pl
+++ b/crypto/bn/asm/sparct4-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1225,4 +1225,4 @@ ___
&emit_assembler();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/sparcv9-gf2m.pl b/crypto/bn/asm/sparcv9-gf2m.pl
index dcf11a87..238a93dc 100644
--- a/crypto/bn/asm/sparcv9-gf2m.pl
+++ b/crypto/bn/asm/sparcv9-gf2m.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -197,4 +197,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/sparcv9-mont.pl b/crypto/bn/asm/sparcv9-mont.pl
index b41903af..d1a3c2bc 100644
--- a/crypto/bn/asm/sparcv9-mont.pl
+++ b/crypto/bn/asm/sparcv9-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -617,4 +617,4 @@ $code.=<<___;
___
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/sparcv9a-mont.pl b/crypto/bn/asm/sparcv9a-mont.pl
index c8f759df..7a1fca12 100755
--- a/crypto/bn/asm/sparcv9a-mont.pl
+++ b/crypto/bn/asm/sparcv9a-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -884,4 +884,4 @@ $code =~ s/fzeros\s+%f([0-9]+)/
print $code;
# flush
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/via-mont.pl b/crypto/bn/asm/via-mont.pl
index 9cf717e8..9dbc8d45 100644
--- a/crypto/bn/asm/via-mont.pl
+++ b/crypto/bn/asm/via-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -248,4 +248,4 @@ $sp=&DWP(28,"esp");
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/vis3-mont.pl b/crypto/bn/asm/vis3-mont.pl
index 04833a0c..d797af87 100644
--- a/crypto/bn/asm/vis3-mont.pl
+++ b/crypto/bn/asm/vis3-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -381,4 +381,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/x86-gf2m.pl b/crypto/bn/asm/x86-gf2m.pl
index d03efcc7..436d90b1 100644
--- a/crypto/bn/asm/x86-gf2m.pl
+++ b/crypto/bn/asm/x86-gf2m.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -322,4 +322,4 @@ if ($sse2) {
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/x86-mont.pl b/crypto/bn/asm/x86-mont.pl
index 7ba2133a..2103f806 100755
--- a/crypto/bn/asm/x86-mont.pl
+++ b/crypto/bn/asm/x86-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -628,4 +628,4 @@ $sbit=$num;
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/x86_64-gcc.c b/crypto/bn/asm/x86_64-gcc.c
index 31839ba0..e6fdaadf 100644
--- a/crypto/bn/asm/x86_64-gcc.c
+++ b/crypto/bn/asm/x86_64-gcc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "../bn_lcl.h"
+#include "../bn_local.h"
#if !(defined(__GNUC__) && __GNUC__>=2)
# include "../bn_asm.c" /* kind of dirty hack for Sun Studio */
#else
diff --git a/crypto/bn/asm/x86_64-gf2m.pl b/crypto/bn/asm/x86_64-gf2m.pl
index 0fd6e985..655f13c8 100644
--- a/crypto/bn/asm/x86_64-gf2m.pl
+++ b/crypto/bn/asm/x86_64-gf2m.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -421,4 +421,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/x86_64-mont.pl b/crypto/bn/asm/x86_64-mont.pl
index c051135e..f14d4e63 100755
--- a/crypto/bn/asm/x86_64-mont.pl
+++ b/crypto/bn/asm/x86_64-mont.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -75,7 +75,7 @@ if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$addx = ($1>=12);
}
-if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) {
my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
$addx = ($ver>=3.03);
}
@@ -1589,4 +1589,4 @@ ___
}
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/asm/x86_64-mont5.pl b/crypto/bn/asm/x86_64-mont5.pl
index f43e13d1..8c37d132 100755
--- a/crypto/bn/asm/x86_64-mont5.pl
+++ b/crypto/bn/asm/x86_64-mont5.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -60,7 +60,7 @@ if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$addx = ($1>=12);
}
-if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) {
my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
$addx = ($ver>=3.03);
}
@@ -580,6 +580,7 @@ $code.=<<___;
.type mul4x_internal,\@abi-omnipotent
.align 32
mul4x_internal:
+.cfi_startproc
shl \$5,$num # $num was in bytes
movd `($win64?56:8)`(%rax),%xmm5 # load 7th argument, index
lea .Linc(%rip),%rax
@@ -1074,6 +1075,7 @@ $code.=<<___
___
}
$code.=<<___;
+.cfi_endproc
.size mul4x_internal,.-mul4x_internal
___
}}}
@@ -1239,6 +1241,7 @@ $code.=<<___;
.align 32
bn_sqr8x_internal:
__bn_sqr8x_internal:
+.cfi_startproc
##############################################################
# Squaring part:
#
@@ -2030,6 +2033,7 @@ __bn_sqr8x_reduction:
cmp %rdx,$tptr # end of t[]?
jb .L8x_reduction_loop
ret
+.cfi_endproc
.size bn_sqr8x_internal,.-bn_sqr8x_internal
___
}
@@ -2042,6 +2046,7 @@ $code.=<<___;
.type __bn_post4x_internal,\@abi-omnipotent
.align 32
__bn_post4x_internal:
+.cfi_startproc
mov 8*0($nptr),%r12
lea (%rdi,$num),$tptr # %rdi was $tptr above
mov $num,%rcx
@@ -2092,6 +2097,7 @@ __bn_post4x_internal:
mov $num,%r10 # prepare for back-to-back call
neg $num # restore $num
ret
+.cfi_endproc
.size __bn_post4x_internal,.-__bn_post4x_internal
___
}
@@ -2101,10 +2107,12 @@ $code.=<<___;
.type bn_from_montgomery,\@abi-omnipotent
.align 32
bn_from_montgomery:
+.cfi_startproc
testl \$7,`($win64?"48(%rsp)":"%r9d")`
jz bn_from_mont8x
xor %eax,%eax
ret
+.cfi_endproc
.size bn_from_montgomery,.-bn_from_montgomery
.type bn_from_mont8x,\@function,6
@@ -2400,6 +2408,7 @@ bn_mulx4x_mont_gather5:
.type mulx4x_internal,\@abi-omnipotent
.align 32
mulx4x_internal:
+.cfi_startproc
mov $num,8(%rsp) # save -$num (it was in bytes)
mov $num,%r10
neg $num # restore $num
@@ -2750,6 +2759,7 @@ $code.=<<___;
mov 8*2(%rbp),%r14
mov 8*3(%rbp),%r15
jmp .Lsqrx4x_sub_entry # common post-condition
+.cfi_endproc
.size mulx4x_internal,.-mulx4x_internal
___
} {
@@ -3555,6 +3565,7 @@ my ($rptr,$nptr)=("%rdx","%rbp");
$code.=<<___;
.align 32
__bn_postx4x_internal:
+.cfi_startproc
mov 8*0($nptr),%r12
mov %rcx,%r10 # -$num
mov %rcx,%r9 # -$num
@@ -3602,6 +3613,7 @@ __bn_postx4x_internal:
neg %r9 # restore $num
ret
+.cfi_endproc
.size __bn_postx4x_internal,.-__bn_postx4x_internal
___
}
@@ -3618,6 +3630,7 @@ $code.=<<___;
.type bn_get_bits5,\@abi-omnipotent
.align 16
bn_get_bits5:
+.cfi_startproc
lea 0($inp),%r10
lea 1($inp),%r11
mov $num,%ecx
@@ -3631,12 +3644,14 @@ bn_get_bits5:
shrl %cl,%eax
and \$31,%eax
ret
+.cfi_endproc
.size bn_get_bits5,.-bn_get_bits5
.globl bn_scatter5
.type bn_scatter5,\@abi-omnipotent
.align 16
bn_scatter5:
+.cfi_startproc
cmp \$0, $num
jz .Lscatter_epilogue
lea ($tbl,$idx,8),$tbl
@@ -3649,6 +3664,7 @@ bn_scatter5:
jnz .Lscatter
.Lscatter_epilogue:
ret
+.cfi_endproc
.size bn_scatter5,.-bn_scatter5
.globl bn_gather5
@@ -3656,6 +3672,7 @@ bn_scatter5:
.align 32
bn_gather5:
.LSEH_begin_bn_gather5: # Win64 thing, but harmless in other cases
+.cfi_startproc
# I can't trust assembler to use specific encoding:-(
.byte 0x4c,0x8d,0x14,0x24 #lea (%rsp),%r10
.byte 0x48,0x81,0xec,0x08,0x01,0x00,0x00 #sub $0x108,%rsp
@@ -3740,6 +3757,7 @@ $code.=<<___;
lea (%r10),%rsp
ret
.LSEH_end_bn_gather5:
+.cfi_endproc
.size bn_gather5,.-bn_gather5
___
}
@@ -3942,4 +3960,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/bn/bn_add.c b/crypto/bn/bn_add.c
index f2736b8f..8ffe4961 100644
--- a/crypto/bn/bn_add.c
+++ b/crypto/bn/bn_add.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/* signed add of b to a. */
int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
diff --git a/crypto/bn/bn_asm.c b/crypto/bn/bn_asm.c
index 729b2480..4d83a8cf 100644
--- a/crypto/bn/bn_asm.c
+++ b/crypto/bn/bn_asm.c
@@ -10,7 +10,7 @@
#include <assert.h>
#include <openssl/crypto.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
diff --git a/crypto/bn/bn_blind.c b/crypto/bn/bn_blind.c
index 450cdfb3..76fc7ebc 100644
--- a/crypto/bn/bn_blind.c
+++ b/crypto/bn/bn_blind.c
@@ -9,7 +9,7 @@
#include <openssl/opensslconf.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#define BN_BLINDING_COUNTER 32
diff --git a/crypto/bn/bn_ctx.c b/crypto/bn/bn_ctx.c
index 90cecea2..042cb247 100644
--- a/crypto/bn/bn_ctx.c
+++ b/crypto/bn/bn_ctx.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/*-
* TODO list
diff --git a/crypto/bn/bn_depr.c b/crypto/bn/bn_depr.c
index 58bcf197..b60269cd 100644
--- a/crypto/bn/bn_depr.c
+++ b/crypto/bn/bn_depr.c
@@ -20,7 +20,7 @@ NON_EMPTY_TRANSLATION_UNIT
# include <stdio.h>
# include <time.h>
# include "internal/cryptlib.h"
-# include "bn_lcl.h"
+# include "bn_local.h"
BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
const BIGNUM *add, const BIGNUM *rem,
diff --git a/crypto/bn/bn_dh.c b/crypto/bn/bn_dh.c
index 38acdee2..58c44f0b 100644
--- a/crypto/bn/bn_dh.c
+++ b/crypto/bn/bn_dh.c
@@ -7,12 +7,12 @@
* https://www.openssl.org/source/license.html
*/
-#include "bn_lcl.h"
+#include "bn_local.h"
#include "internal/nelem.h"
#ifndef OPENSSL_NO_DH
#include <openssl/dh.h>
-#include "internal/bn_dh.h"
+#include "crypto/bn_dh.h"
/* DH parameters from RFC5114 */
# if BN_BITS2 == 64
diff --git a/crypto/bn/bn_div.c b/crypto/bn/bn_div.c
index 7fc01328..286d69c8 100644
--- a/crypto/bn/bn_div.c
+++ b/crypto/bn/bn_div.c
@@ -10,7 +10,7 @@
#include <assert.h>
#include <openssl/bn.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/* The old slow way */
#if 0
diff --git a/crypto/bn/bn_exp.c b/crypto/bn/bn_exp.c
index 88f2baf0..9531acfc 100644
--- a/crypto/bn/bn_exp.c
+++ b/crypto/bn/bn_exp.c
@@ -8,8 +8,8 @@
*/
#include "internal/cryptlib.h"
-#include "internal/constant_time_locl.h"
-#include "bn_lcl.h"
+#include "internal/constant_time.h"
+#include "bn_local.h"
#include <stdlib.h>
#ifdef _WIN32
diff --git a/crypto/bn/bn_exp2.c b/crypto/bn/bn_exp2.c
index 082c9286..e542abe4 100644
--- a/crypto/bn/bn_exp2.c
+++ b/crypto/bn/bn_exp2.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#define TABLE_SIZE 32
diff --git a/crypto/bn/bn_gcd.c b/crypto/bn/bn_gcd.c
index 0091ea4e..0941f7b9 100644
--- a/crypto/bn/bn_gcd.c
+++ b/crypto/bn/bn_gcd.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,130 +8,191 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
-static BIGNUM *euclid(BIGNUM *a, BIGNUM *b);
-
-int BN_gcd(BIGNUM *r, const BIGNUM *in_a, const BIGNUM *in_b, BN_CTX *ctx)
+/*
+ * bn_mod_inverse_no_branch is a special version of BN_mod_inverse. It does
+ * not contain branches that may leak sensitive information.
+ *
+ * This is a static function, we ensure all callers in this file pass valid
+ * arguments: all passed pointers here are non-NULL.
+ */
+static ossl_inline
+BIGNUM *bn_mod_inverse_no_branch(BIGNUM *in,
+ const BIGNUM *a, const BIGNUM *n,
+ BN_CTX *ctx, int *pnoinv)
{
- BIGNUM *a, *b, *t;
- int ret = 0;
+ BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL;
+ BIGNUM *ret = NULL;
+ int sign;
- bn_check_top(in_a);
- bn_check_top(in_b);
+ bn_check_top(a);
+ bn_check_top(n);
BN_CTX_start(ctx);
- a = BN_CTX_get(ctx);
- b = BN_CTX_get(ctx);
- if (b == NULL)
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ X = BN_CTX_get(ctx);
+ D = BN_CTX_get(ctx);
+ M = BN_CTX_get(ctx);
+ Y = BN_CTX_get(ctx);
+ T = BN_CTX_get(ctx);
+ if (T == NULL)
+ goto err;
+
+ if (in == NULL)
+ R = BN_new();
+ else
+ R = in;
+ if (R == NULL)
goto err;
- if (BN_copy(a, in_a) == NULL)
+ BN_one(X);
+ BN_zero(Y);
+ if (BN_copy(B, a) == NULL)
goto err;
- if (BN_copy(b, in_b) == NULL)
+ if (BN_copy(A, n) == NULL)
goto err;
- a->neg = 0;
- b->neg = 0;
+ A->neg = 0;
- if (BN_cmp(a, b) < 0) {
- t = a;
- a = b;
- b = t;
+ if (B->neg || (BN_ucmp(B, A) >= 0)) {
+ /*
+ * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
+ * BN_div_no_branch will be called eventually.
+ */
+ {
+ BIGNUM local_B;
+ bn_init(&local_B);
+ BN_with_flags(&local_B, B, BN_FLG_CONSTTIME);
+ if (!BN_nnmod(B, &local_B, A, ctx))
+ goto err;
+ /* Ensure local_B goes out of scope before any further use of B */
+ }
}
- t = euclid(a, b);
- if (t == NULL)
- goto err;
+ sign = -1;
+ /*-
+ * From B = a mod |n|, A = |n| it follows that
+ *
+ * 0 <= B < A,
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ */
- if (BN_copy(r, t) == NULL)
- goto err;
- ret = 1;
- err:
- BN_CTX_end(ctx);
- bn_check_top(r);
- return ret;
-}
+ while (!BN_is_zero(B)) {
+ BIGNUM *tmp;
-static BIGNUM *euclid(BIGNUM *a, BIGNUM *b)
-{
- BIGNUM *t;
- int shifts = 0;
+ /*-
+ * 0 < B < A,
+ * (*) -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|)
+ */
- bn_check_top(a);
- bn_check_top(b);
+ /*
+ * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
+ * BN_div_no_branch will be called eventually.
+ */
+ {
+ BIGNUM local_A;
+ bn_init(&local_A);
+ BN_with_flags(&local_A, A, BN_FLG_CONSTTIME);
- /* 0 <= b <= a */
- while (!BN_is_zero(b)) {
- /* 0 < b <= a */
+ /* (D, M) := (A/B, A%B) ... */
+ if (!BN_div(D, M, &local_A, B, ctx))
+ goto err;
+ /* Ensure local_A goes out of scope before any further use of A */
+ }
- if (BN_is_odd(a)) {
- if (BN_is_odd(b)) {
- if (!BN_sub(a, a, b))
- goto err;
- if (!BN_rshift1(a, a))
- goto err;
- if (BN_cmp(a, b) < 0) {
- t = a;
- a = b;
- b = t;
- }
- } else { /* a odd - b even */
+ /*-
+ * Now
+ * A = D*B + M;
+ * thus we have
+ * (**) sign*Y*a == D*B + M (mod |n|).
+ */
- if (!BN_rshift1(b, b))
- goto err;
- if (BN_cmp(a, b) < 0) {
- t = a;
- a = b;
- b = t;
- }
- }
- } else { /* a is even */
+ tmp = A; /* keep the BIGNUM object, the value does not
+ * matter */
- if (BN_is_odd(b)) {
- if (!BN_rshift1(a, a))
- goto err;
- if (BN_cmp(a, b) < 0) {
- t = a;
- a = b;
- b = t;
- }
- } else { /* a even - b even */
+ /* (A, B) := (B, A mod B) ... */
+ A = B;
+ B = M;
+ /* ... so we have 0 <= B < A again */
- if (!BN_rshift1(a, a))
- goto err;
- if (!BN_rshift1(b, b))
- goto err;
- shifts++;
- }
- }
- /* 0 <= b <= a */
+ /*-
+ * Since the former M is now B and the former B is now A,
+ * (**) translates into
+ * sign*Y*a == D*A + B (mod |n|),
+ * i.e.
+ * sign*Y*a - D*A == B (mod |n|).
+ * Similarly, (*) translates into
+ * -sign*X*a == A (mod |n|).
+ *
+ * Thus,
+ * sign*Y*a + D*sign*X*a == B (mod |n|),
+ * i.e.
+ * sign*(Y + D*X)*a == B (mod |n|).
+ *
+ * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ * Note that X and Y stay non-negative all the time.
+ */
+
+ if (!BN_mul(tmp, D, X, ctx))
+ goto err;
+ if (!BN_add(tmp, tmp, Y))
+ goto err;
+
+ M = Y; /* keep the BIGNUM object, the value does not
+ * matter */
+ Y = X;
+ X = tmp;
+ sign = -sign;
}
- if (shifts) {
- if (!BN_lshift(a, a, shifts))
+ /*-
+ * The while loop (Euclid's algorithm) ends when
+ * A == gcd(a,n);
+ * we have
+ * sign*Y*a == A (mod |n|),
+ * where Y is non-negative.
+ */
+
+ if (sign < 0) {
+ if (!BN_sub(Y, n, Y))
goto err;
}
- bn_check_top(a);
- return a;
- err:
- return NULL;
-}
+ /* Now Y*a == A (mod |n|). */
-/* solves ax == 1 (mod n) */
-static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
- const BIGNUM *a, const BIGNUM *n,
- BN_CTX *ctx);
+ if (BN_is_one(A)) {
+ /* Y*a == 1 (mod |n|) */
+ if (!Y->neg && BN_ucmp(Y, n) < 0) {
+ if (!BN_copy(R, Y))
+ goto err;
+ } else {
+ if (!BN_nnmod(R, Y, n, ctx))
+ goto err;
+ }
+ } else {
+ *pnoinv = 1;
+ /* caller sets the BN_R_NO_INVERSE error */
+ goto err;
+ }
-BIGNUM *BN_mod_inverse(BIGNUM *in,
- const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
-{
- BIGNUM *rv;
- int noinv;
- rv = int_bn_mod_inverse(in, a, n, ctx, &noinv);
- if (noinv)
- BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE);
- return rv;
+ ret = R;
+ *pnoinv = 0;
+
+ err:
+ if ((ret == NULL) && (in == NULL))
+ BN_free(R);
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return ret;
}
+/*
+ * This is an internal function, we assume all callers pass valid arguments:
+ * all pointers passed here are assumed non-NULL.
+ */
BIGNUM *int_bn_mod_inverse(BIGNUM *in,
const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
int *pnoinv)
@@ -142,17 +203,15 @@ BIGNUM *int_bn_mod_inverse(BIGNUM *in,
/* This is invalid input so we don't worry about constant time here */
if (BN_abs_is_word(n, 1) || BN_is_zero(n)) {
- if (pnoinv != NULL)
- *pnoinv = 1;
+ *pnoinv = 1;
return NULL;
}
- if (pnoinv != NULL)
- *pnoinv = 0;
+ *pnoinv = 0;
if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0)
|| (BN_get_flags(n, BN_FLG_CONSTTIME) != 0)) {
- return BN_mod_inverse_no_branch(in, a, n, ctx);
+ return bn_mod_inverse_no_branch(in, a, n, ctx, pnoinv);
}
bn_check_top(a);
@@ -438,8 +497,7 @@ BIGNUM *int_bn_mod_inverse(BIGNUM *in,
goto err;
}
} else {
- if (pnoinv)
- *pnoinv = 1;
+ *pnoinv = 1;
goto err;
}
ret = R;
@@ -451,173 +509,137 @@ BIGNUM *int_bn_mod_inverse(BIGNUM *in,
return ret;
}
-/*
- * BN_mod_inverse_no_branch is a special version of BN_mod_inverse. It does
- * not contain branches that may leak sensitive information.
- */
-static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
- const BIGNUM *a, const BIGNUM *n,
- BN_CTX *ctx)
+/* solves ax == 1 (mod n) */
+BIGNUM *BN_mod_inverse(BIGNUM *in,
+ const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
{
- BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL;
- BIGNUM *ret = NULL;
- int sign;
-
- bn_check_top(a);
- bn_check_top(n);
-
- BN_CTX_start(ctx);
- A = BN_CTX_get(ctx);
- B = BN_CTX_get(ctx);
- X = BN_CTX_get(ctx);
- D = BN_CTX_get(ctx);
- M = BN_CTX_get(ctx);
- Y = BN_CTX_get(ctx);
- T = BN_CTX_get(ctx);
- if (T == NULL)
- goto err;
-
- if (in == NULL)
- R = BN_new();
- else
- R = in;
- if (R == NULL)
- goto err;
-
- BN_one(X);
- BN_zero(Y);
- if (BN_copy(B, a) == NULL)
- goto err;
- if (BN_copy(A, n) == NULL)
- goto err;
- A->neg = 0;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *rv;
+ int noinv = 0;
- if (B->neg || (BN_ucmp(B, A) >= 0)) {
- /*
- * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
- * BN_div_no_branch will be called eventually.
- */
- {
- BIGNUM local_B;
- bn_init(&local_B);
- BN_with_flags(&local_B, B, BN_FLG_CONSTTIME);
- if (!BN_nnmod(B, &local_B, A, ctx))
- goto err;
- /* Ensure local_B goes out of scope before any further use of B */
+ if (ctx == NULL) {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL) {
+ BNerr(BN_F_BN_MOD_INVERSE, ERR_R_MALLOC_FAILURE);
+ return NULL;
}
}
- sign = -1;
- /*-
- * From B = a mod |n|, A = |n| it follows that
- *
- * 0 <= B < A,
- * -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|).
- */
- while (!BN_is_zero(B)) {
- BIGNUM *tmp;
+ rv = int_bn_mod_inverse(in, a, n, ctx, &noinv);
+ if (noinv)
+ BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE);
+ BN_CTX_free(new_ctx);
+ return rv;
+}
- /*-
- * 0 < B < A,
- * (*) -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|)
- */
+/*-
+ * This function is based on the constant-time GCD work by Bernstein and Yang:
+ * https://eprint.iacr.org/2019/266
+ * Generalized fast GCD function to allow even inputs.
+ * The algorithm first finds the shared powers of 2 between
+ * the inputs, and removes them, reducing at least one of the
+ * inputs to an odd value. Then it proceeds to calculate the GCD.
+ * Before returning the resulting GCD, we take care of adding
+ * back the powers of two removed at the beginning.
+ * Note 1: we assume the bit length of both inputs is public information,
+ * since access to top potentially leaks this information.
+ */
+int BN_gcd(BIGNUM *r, const BIGNUM *in_a, const BIGNUM *in_b, BN_CTX *ctx)
+{
+ BIGNUM *g, *temp = NULL;
+ BN_ULONG mask = 0;
+ int i, j, top, rlen, glen, m, bit = 1, delta = 1, cond = 0, shifts = 0, ret = 0;
+
+ /* Note 2: zero input corner cases are not constant-time since they are
+ * handled immediately. An attacker can run an attack under this
+ * assumption without the need of side-channel information. */
+ if (BN_is_zero(in_b)) {
+ ret = BN_copy(r, in_a) != NULL;
+ r->neg = 0;
+ return ret;
+ }
+ if (BN_is_zero(in_a)) {
+ ret = BN_copy(r, in_b) != NULL;
+ r->neg = 0;
+ return ret;
+ }
- /*
- * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
- * BN_div_no_branch will be called eventually.
- */
- {
- BIGNUM local_A;
- bn_init(&local_A);
- BN_with_flags(&local_A, A, BN_FLG_CONSTTIME);
+ bn_check_top(in_a);
+ bn_check_top(in_b);
- /* (D, M) := (A/B, A%B) ... */
- if (!BN_div(D, M, &local_A, B, ctx))
- goto err;
- /* Ensure local_A goes out of scope before any further use of A */
- }
+ BN_CTX_start(ctx);
+ temp = BN_CTX_get(ctx);
+ g = BN_CTX_get(ctx);
- /*-
- * Now
- * A = D*B + M;
- * thus we have
- * (**) sign*Y*a == D*B + M (mod |n|).
- */
+ /* make r != 0, g != 0 even, so BN_rshift is not a potential nop */
+ if (g == NULL
+ || !BN_lshift1(g, in_b)
+ || !BN_lshift1(r, in_a))
+ goto err;
- tmp = A; /* keep the BIGNUM object, the value does not
- * matter */
+ /* find shared powers of two, i.e. "shifts" >= 1 */
+ for (i = 0; i < r->dmax && i < g->dmax; i++) {
+ mask = ~(r->d[i] | g->d[i]);
+ for (j = 0; j < BN_BITS2; j++) {
+ bit &= mask;
+ shifts += bit;
+ mask >>= 1;
+ }
+ }
- /* (A, B) := (B, A mod B) ... */
- A = B;
- B = M;
- /* ... so we have 0 <= B < A again */
+ /* subtract shared powers of two; shifts >= 1 */
+ if (!BN_rshift(r, r, shifts)
+ || !BN_rshift(g, g, shifts))
+ goto err;
- /*-
- * Since the former M is now B and the former B is now A,
- * (**) translates into
- * sign*Y*a == D*A + B (mod |n|),
- * i.e.
- * sign*Y*a - D*A == B (mod |n|).
- * Similarly, (*) translates into
- * -sign*X*a == A (mod |n|).
- *
- * Thus,
- * sign*Y*a + D*sign*X*a == B (mod |n|),
- * i.e.
- * sign*(Y + D*X)*a == B (mod |n|).
- *
- * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
- * -sign*X*a == B (mod |n|),
- * sign*Y*a == A (mod |n|).
- * Note that X and Y stay non-negative all the time.
- */
+ /* expand to biggest nword, with room for a possible extra word */
+ top = 1 + ((r->top >= g->top) ? r->top : g->top);
+ if (bn_wexpand(r, top) == NULL
+ || bn_wexpand(g, top) == NULL
+ || bn_wexpand(temp, top) == NULL)
+ goto err;
- if (!BN_mul(tmp, D, X, ctx))
+ /* re arrange inputs s.t. r is odd */
+ BN_consttime_swap((~r->d[0]) & 1, r, g, top);
+
+ /* compute the number of iterations */
+ rlen = BN_num_bits(r);
+ glen = BN_num_bits(g);
+ m = 4 + 3 * ((rlen >= glen) ? rlen : glen);
+
+ for (i = 0; i < m; i++) {
+ /* conditionally flip signs if delta is positive and g is odd */
+ cond = (-delta >> (8 * sizeof(delta) - 1)) & g->d[0] & 1
+ /* make sure g->top > 0 (i.e. if top == 0 then g == 0 always) */
+ & (~((g->top - 1) >> (sizeof(g->top) * 8 - 1)));
+ delta = (-cond & -delta) | ((cond - 1) & delta);
+ r->neg ^= cond;
+ /* swap */
+ BN_consttime_swap(cond, r, g, top);
+
+ /* elimination step */
+ delta++;
+ if (!BN_add(temp, g, r))
goto err;
- if (!BN_add(tmp, tmp, Y))
+ BN_consttime_swap(g->d[0] & 1 /* g is odd */
+ /* make sure g->top > 0 (i.e. if top == 0 then g == 0 always) */
+ & (~((g->top - 1) >> (sizeof(g->top) * 8 - 1))),
+ g, temp, top);
+ if (!BN_rshift1(g, g))
goto err;
-
- M = Y; /* keep the BIGNUM object, the value does not
- * matter */
- Y = X;
- X = tmp;
- sign = -sign;
}
- /*-
- * The while loop (Euclid's algorithm) ends when
- * A == gcd(a,n);
- * we have
- * sign*Y*a == A (mod |n|),
- * where Y is non-negative.
- */
+ /* remove possible negative sign */
+ r->neg = 0;
+ /* add powers of 2 removed, then correct the artificial shift */
+ if (!BN_lshift(r, r, shifts)
+ || !BN_rshift1(r, r))
+ goto err;
- if (sign < 0) {
- if (!BN_sub(Y, n, Y))
- goto err;
- }
- /* Now Y*a == A (mod |n|). */
+ ret = 1;
- if (BN_is_one(A)) {
- /* Y*a == 1 (mod |n|) */
- if (!Y->neg && BN_ucmp(Y, n) < 0) {
- if (!BN_copy(R, Y))
- goto err;
- } else {
- if (!BN_nnmod(R, Y, n, ctx))
- goto err;
- }
- } else {
- BNerr(BN_F_BN_MOD_INVERSE_NO_BRANCH, BN_R_NO_INVERSE);
- goto err;
- }
- ret = R;
err:
- if ((ret == NULL) && (in == NULL))
- BN_free(R);
BN_CTX_end(ctx);
- bn_check_top(ret);
+ bn_check_top(r);
return ret;
}
diff --git a/crypto/bn/bn_gf2m.c b/crypto/bn/bn_gf2m.c
index 34d8b69c..a2ea8675 100644
--- a/crypto/bn/bn_gf2m.c
+++ b/crypto/bn/bn_gf2m.c
@@ -12,7 +12,7 @@
#include <limits.h>
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#ifndef OPENSSL_NO_EC2M
diff --git a/crypto/bn/bn_intern.c b/crypto/bn/bn_intern.c
index 46bc9757..147b4fa0 100644
--- a/crypto/bn/bn_intern.c
+++ b/crypto/bn/bn_intern.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/*
* Determine the modified width-(w+1) Non-Adjacent Form (wNAF) of 'scalar'.
diff --git a/crypto/bn/bn_kron.c b/crypto/bn/bn_kron.c
index b9bc6cca..c1e09d27 100644
--- a/crypto/bn/bn_kron.c
+++ b/crypto/bn/bn_kron.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/* least significant word */
#define BN_lsw(n) (((n)->top == 0) ? (BN_ULONG) 0 : (n)->d[0])
diff --git a/crypto/bn/bn_lib.c b/crypto/bn/bn_lib.c
index 254069ff..eb4a3184 100644
--- a/crypto/bn/bn_lib.c
+++ b/crypto/bn/bn_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,9 +10,9 @@
#include <assert.h>
#include <limits.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#include <openssl/opensslconf.h>
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
/* This stuff appears to be completely unused, so is deprecated */
#if OPENSSL_API_COMPAT < 0x00908000L
@@ -87,6 +87,15 @@ const BIGNUM *BN_value_one(void)
return &const_one;
}
+/*
+ * Old Visual Studio ARM compiler miscompiles BN_num_bits_word()
+ * https://mta.openssl.org/pipermail/openssl-users/2018-August/008465.html
+ */
+#if defined(_MSC_VER) && defined(_ARM_) && defined(_WIN32_WCE) \
+ && _MSC_VER>=1400 && _MSC_VER<1501
+# define MS_BROKEN_BN_num_bits_word
+# pragma optimize("", off)
+#endif
int BN_num_bits_word(BN_ULONG l)
{
BN_ULONG x, mask;
@@ -131,6 +140,9 @@ int BN_num_bits_word(BN_ULONG l)
return bits;
}
+#ifdef MS_BROKEN_BN_num_bits_word
+# pragma optimize("", on)
+#endif
/*
* This function still leaks `a->dmax`: it's caller's responsibility to
@@ -322,15 +334,19 @@ BIGNUM *BN_dup(const BIGNUM *a)
BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
{
+ int bn_words;
+
bn_check_top(b);
+ bn_words = BN_get_flags(b, BN_FLG_CONSTTIME) ? b->dmax : b->top;
+
if (a == b)
return a;
- if (bn_wexpand(a, b->top) == NULL)
+ if (bn_wexpand(a, bn_words) == NULL)
return NULL;
if (b->top > 0)
- memcpy(a->d, b->d, sizeof(b->d[0]) * b->top);
+ memcpy(a->d, b->d, sizeof(b->d[0]) * bn_words);
a->neg = b->neg;
a->top = b->top;
diff --git a/crypto/bn/bn_lcl.h b/crypto/bn/bn_local.h
similarity index 98%
rename from crypto/bn/bn_lcl.h
rename to crypto/bn/bn_local.h
index 7f823a61..8ad69ccd 100644
--- a/crypto/bn/bn_lcl.h
+++ b/crypto/bn/bn_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_BN_LCL_H
-# define HEADER_BN_LCL_H
+#ifndef OSSL_CRYPTO_BN_LOCAL_H
+# define OSSL_CRYPTO_BN_LOCAL_H
/*
* The EDK2 build doesn't use bn_conf.h; it sets THIRTY_TWO_BIT or
@@ -18,10 +18,10 @@
# include <openssl/opensslconf.h>
# if !defined(OPENSSL_SYS_UEFI)
-# include "internal/bn_conf.h"
+# include "crypto/bn_conf.h"
# endif
-# include "internal/bn_int.h"
+# include "crypto/bn.h"
/*
* These preprocessor symbols control various aspects of the bignum headers
@@ -654,9 +654,6 @@ BIGNUM *int_bn_mod_inverse(BIGNUM *in,
const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
int *noinv);
-int bn_probable_prime_dh(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
-
static ossl_inline BIGNUM *bn_expand(BIGNUM *a, int bits)
{
if (bits > (INT_MAX - BN_BITS2 + 1))
diff --git a/crypto/bn/bn_mod.c b/crypto/bn/bn_mod.c
index 712fc8ac..f7d2e265 100644
--- a/crypto/bn/bn_mod.c
+++ b/crypto/bn/bn_mod.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
{
diff --git a/crypto/bn/bn_mont.c b/crypto/bn/bn_mont.c
index 393d27c3..1e5045a0 100644
--- a/crypto/bn/bn_mont.c
+++ b/crypto/bn/bn_mont.c
@@ -15,7 +15,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#define MONT_WORD /* use the faster word-based algorithm */
diff --git a/crypto/bn/bn_mpi.c b/crypto/bn/bn_mpi.c
index 043e21d2..0902da5d 100644
--- a/crypto/bn/bn_mpi.c
+++ b/crypto/bn/bn_mpi.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,7 +9,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
int BN_bn2mpi(const BIGNUM *a, unsigned char *d)
{
@@ -45,7 +45,7 @@ BIGNUM *BN_mpi2bn(const unsigned char *d, int n, BIGNUM *ain)
int neg = 0;
BIGNUM *a = NULL;
- if (n < 4) {
+ if (n < 4 || (d[0] & 0x80) != 0) {
BNerr(BN_F_BN_MPI2BN, BN_R_INVALID_LENGTH);
return NULL;
}
diff --git a/crypto/bn/bn_mul.c b/crypto/bn/bn_mul.c
index 5eda65cf..6743e7be 100644
--- a/crypto/bn/bn_mul.c
+++ b/crypto/bn/bn_mul.c
@@ -9,7 +9,7 @@
#include <assert.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#if defined(OPENSSL_NO_ASM) || !defined(OPENSSL_BN_ASM_PART_WORDS)
/*
diff --git a/crypto/bn/bn_nist.c b/crypto/bn/bn_nist.c
index dcdd321c..325dc228 100644
--- a/crypto/bn/bn_nist.c
+++ b/crypto/bn/bn_nist.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "bn_lcl.h"
+#include "bn_local.h"
#include "internal/cryptlib.h"
#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
diff --git a/crypto/bn/bn_prime.c b/crypto/bn/bn_prime.c
index 19b081f3..d0cf3779 100644
--- a/crypto/bn/bn_prime.c
+++ b/crypto/bn/bn_prime.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <time.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/*
* The quick sieve algorithm approach to weeding out primes is Philip
@@ -22,10 +22,12 @@
static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
const BIGNUM *a1_odd, int k, BN_CTX *ctx,
BN_MONT_CTX *mont);
-static int probable_prime(BIGNUM *rnd, int bits, prime_t *mods);
-static int probable_prime_dh_safe(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem,
- BN_CTX *ctx);
+static int probable_prime(BIGNUM *rnd, int bits, int safe, prime_t *mods);
+static int probable_prime_dh(BIGNUM *rnd, int bits, int safe, prime_t *mods,
+ const BIGNUM *add, const BIGNUM *rem,
+ BN_CTX *ctx);
+
+#define square(x) ((BN_ULONG)(x) * (BN_ULONG)(x))
int BN_GENCB_call(BN_GENCB *cb, int a, int b)
{
@@ -87,16 +89,11 @@ int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe,
loop:
/* make a random number and set the top and bottom bits */
if (add == NULL) {
- if (!probable_prime(ret, bits, mods))
+ if (!probable_prime(ret, bits, safe, mods))
goto err;
} else {
- if (safe) {
- if (!probable_prime_dh_safe(ret, bits, add, rem, ctx))
- goto err;
- } else {
- if (!bn_probable_prime_dh(ret, bits, add, rem, ctx))
- goto err;
- }
+ if (!probable_prime_dh(ret, bits, safe, mods, add, rem, ctx))
+ goto err;
}
if (!BN_GENCB_call(cb, 0, c1++))
@@ -272,17 +269,18 @@ static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
return 1;
}
-static int probable_prime(BIGNUM *rnd, int bits, prime_t *mods)
+static int probable_prime(BIGNUM *rnd, int bits, int safe, prime_t *mods)
{
int i;
BN_ULONG delta;
BN_ULONG maxdelta = BN_MASK2 - primes[NUMPRIMES - 1];
- char is_single_word = bits <= BN_BITS2;
again:
/* TODO: Not all primes are private */
if (!BN_priv_rand(rnd, bits, BN_RAND_TOP_TWO, BN_RAND_BOTTOM_ODD))
return 0;
+ if (safe && !BN_set_bit(rnd, 1))
+ return 0;
/* we now have a random number 'rnd' to test. */
for (i = 1; i < NUMPRIMES; i++) {
BN_ULONG mod = BN_mod_word(rnd, (BN_ULONG)primes[i]);
@@ -290,61 +288,25 @@ static int probable_prime(BIGNUM *rnd, int bits, prime_t *mods)
return 0;
mods[i] = (prime_t) mod;
}
- /*
- * If bits is so small that it fits into a single word then we
- * additionally don't want to exceed that many bits.
- */
- if (is_single_word) {
- BN_ULONG size_limit;
-
- if (bits == BN_BITS2) {
- /*
- * Shifting by this much has undefined behaviour so we do it a
- * different way
- */
- size_limit = ~((BN_ULONG)0) - BN_get_word(rnd);
- } else {
- size_limit = (((BN_ULONG)1) << bits) - BN_get_word(rnd) - 1;
- }
- if (size_limit < maxdelta)
- maxdelta = size_limit;
- }
delta = 0;
loop:
- if (is_single_word) {
- BN_ULONG rnd_word = BN_get_word(rnd);
-
- /*-
- * In the case that the candidate prime is a single word then
- * we check that:
- * 1) It's greater than primes[i] because we shouldn't reject
- * 3 as being a prime number because it's a multiple of
- * three.
- * 2) That it's not a multiple of a known prime. We don't
- * check that rnd-1 is also coprime to all the known
- * primes because there aren't many small primes where
- * that's true.
+ for (i = 1; i < NUMPRIMES; i++) {
+ /*
+ * check that rnd is a prime and also that
+ * gcd(rnd-1,primes) == 1 (except for 2)
+ * do the second check only if we are interested in safe primes
+ * in the case that the candidate prime is a single word then
+ * we check only the primes up to sqrt(rnd)
*/
- for (i = 1; i < NUMPRIMES && primes[i] < rnd_word; i++) {
- if ((mods[i] + delta) % primes[i] == 0) {
- delta += 2;
- if (delta > maxdelta)
- goto again;
- goto loop;
- }
- }
- } else {
- for (i = 1; i < NUMPRIMES; i++) {
- /*
- * check that rnd is not a prime and also that gcd(rnd-1,primes)
- * == 1 (except for 2)
- */
- if (((mods[i] + delta) % primes[i]) <= 1) {
- delta += 2;
- if (delta > maxdelta)
- goto again;
- goto loop;
- }
+ if (bits <= 31 && delta <= 0x7fffffff
+ && square(primes[i]) > BN_get_word(rnd) + delta)
+ break;
+ if (safe ? (mods[i] + delta) % primes[i] <= 1
+ : (mods[i] + delta) % primes[i] == 0) {
+ delta += safe ? 4 : 2;
+ if (delta > maxdelta)
+ goto again;
+ goto loop;
}
}
if (!BN_add_word(rnd, delta))
@@ -355,16 +317,23 @@ static int probable_prime(BIGNUM *rnd, int bits, prime_t *mods)
return 1;
}
-int bn_probable_prime_dh(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx)
+static int probable_prime_dh(BIGNUM *rnd, int bits, int safe, prime_t *mods,
+ const BIGNUM *add, const BIGNUM *rem,
+ BN_CTX *ctx)
{
int i, ret = 0;
BIGNUM *t1;
+ BN_ULONG delta;
+ BN_ULONG maxdelta = BN_MASK2 - primes[NUMPRIMES - 1];
BN_CTX_start(ctx);
if ((t1 = BN_CTX_get(ctx)) == NULL)
goto err;
+ if (maxdelta > BN_MASK2 - BN_get_word(add))
+ maxdelta = BN_MASK2 - BN_get_word(add);
+
+ again:
if (!BN_rand(rnd, bits, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD))
goto err;
@@ -375,98 +344,48 @@ int bn_probable_prime_dh(BIGNUM *rnd, int bits,
if (!BN_sub(rnd, rnd, t1))
goto err;
if (rem == NULL) {
- if (!BN_add_word(rnd, 1))
+ if (!BN_add_word(rnd, safe ? 3u : 1u))
goto err;
} else {
if (!BN_add(rnd, rnd, rem))
goto err;
}
- /* we now have a random number 'rand' to test. */
+ if (BN_num_bits(rnd) < bits
+ || BN_get_word(rnd) < (safe ? 5u : 3u)) {
+ if (!BN_add(rnd, rnd, add))
+ goto err;
+ }
- loop:
+ /* we now have a random number 'rnd' to test. */
for (i = 1; i < NUMPRIMES; i++) {
- /* check that rnd is a prime */
BN_ULONG mod = BN_mod_word(rnd, (BN_ULONG)primes[i]);
if (mod == (BN_ULONG)-1)
goto err;
- if (mod <= 1) {
- if (!BN_add(rnd, rnd, add))
- goto err;
- goto loop;
- }
- }
- ret = 1;
-
- err:
- BN_CTX_end(ctx);
- bn_check_top(rnd);
- return ret;
-}
-
-static int probable_prime_dh_safe(BIGNUM *p, int bits, const BIGNUM *padd,
- const BIGNUM *rem, BN_CTX *ctx)
-{
- int i, ret = 0;
- BIGNUM *t1, *qadd, *q;
-
- bits--;
- BN_CTX_start(ctx);
- t1 = BN_CTX_get(ctx);
- q = BN_CTX_get(ctx);
- qadd = BN_CTX_get(ctx);
- if (qadd == NULL)
- goto err;
-
- if (!BN_rshift1(qadd, padd))
- goto err;
-
- if (!BN_rand(q, bits, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD))
- goto err;
-
- /* we need ((rnd-rem) % add) == 0 */
- if (!BN_mod(t1, q, qadd, ctx))
- goto err;
- if (!BN_sub(q, q, t1))
- goto err;
- if (rem == NULL) {
- if (!BN_add_word(q, 1))
- goto err;
- } else {
- if (!BN_rshift1(t1, rem))
- goto err;
- if (!BN_add(q, q, t1))
- goto err;
+ mods[i] = (prime_t) mod;
}
-
- /* we now have a random number 'rand' to test. */
- if (!BN_lshift1(p, q))
- goto err;
- if (!BN_add_word(p, 1))
- goto err;
-
+ delta = 0;
loop:
for (i = 1; i < NUMPRIMES; i++) {
- /* check that p and q are prime */
- /*
- * check that for p and q gcd(p-1,primes) == 1 (except for 2)
- */
- BN_ULONG pmod = BN_mod_word(p, (BN_ULONG)primes[i]);
- BN_ULONG qmod = BN_mod_word(q, (BN_ULONG)primes[i]);
- if (pmod == (BN_ULONG)-1 || qmod == (BN_ULONG)-1)
- goto err;
- if (pmod == 0 || qmod == 0) {
- if (!BN_add(p, p, padd))
- goto err;
- if (!BN_add(q, q, qadd))
- goto err;
+ /* check that rnd is a prime */
+ if (bits <= 31 && delta <= 0x7fffffff
+ && square(primes[i]) > BN_get_word(rnd) + delta)
+ break;
+ /* rnd mod p == 1 implies q = (rnd-1)/2 is divisible by p */
+ if (safe ? (mods[i] + delta) % primes[i] <= 1
+ : (mods[i] + delta) % primes[i] == 0) {
+ delta += BN_get_word(add);
+ if (delta > maxdelta)
+ goto again;
goto loop;
}
}
+ if (!BN_add_word(rnd, delta))
+ goto err;
ret = 1;
err:
BN_CTX_end(ctx);
- bn_check_top(p);
+ bn_check_top(rnd);
return ret;
}
diff --git a/crypto/bn/bn_prime.h b/crypto/bn/bn_prime.h
index 2eb7b52f..1a25c285 100644
--- a/crypto/bn/bn_prime.h
+++ b/crypto/bn/bn_prime.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/bn/bn_prime.pl
*
- * Copyright 1998-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/bn/bn_print.c b/crypto/bn/bn_print.c
index 1853269d..69749a9f 100644
--- a/crypto/bn/bn_print.c
+++ b/crypto/bn/bn_print.c
@@ -8,11 +8,11 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <limits.h>
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
-#include "bn_lcl.h"
+#include "bn_local.h"
static const char Hex[] = "0123456789ABCDEF";
diff --git a/crypto/bn/bn_rand.c b/crypto/bn/bn_rand.c
index 051f29e3..6b4b50a0 100644
--- a/crypto/bn/bn_rand.c
+++ b/crypto/bn/bn_rand.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <time.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
#include <openssl/rand.h>
#include <openssl/sha.h>
diff --git a/crypto/bn/bn_recp.c b/crypto/bn/bn_recp.c
index 9ab767f4..e8223133 100644
--- a/crypto/bn/bn_recp.c
+++ b/crypto/bn/bn_recp.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
void BN_RECP_CTX_init(BN_RECP_CTX *recp)
{
diff --git a/crypto/bn/bn_shift.c b/crypto/bn/bn_shift.c
index b7a1e0ff..210a83f5 100644
--- a/crypto/bn/bn_shift.c
+++ b/crypto/bn/bn_shift.c
@@ -9,7 +9,7 @@
#include <assert.h>
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
int BN_lshift1(BIGNUM *r, const BIGNUM *a)
{
@@ -34,12 +34,10 @@ int BN_lshift1(BIGNUM *r, const BIGNUM *a)
for (i = 0; i < a->top; i++) {
t = *(ap++);
*(rp++) = ((t << 1) | c) & BN_MASK2;
- c = (t & BN_TBIT) ? 1 : 0;
- }
- if (c) {
- *rp = 1;
- r->top++;
+ c = t >> (BN_BITS2 - 1);
}
+ *rp = c;
+ r->top += c;
bn_check_top(r);
return 1;
}
@@ -47,7 +45,7 @@ int BN_lshift1(BIGNUM *r, const BIGNUM *a)
int BN_rshift1(BIGNUM *r, const BIGNUM *a)
{
BN_ULONG *ap, *rp, t, c;
- int i, j;
+ int i;
bn_check_top(r);
bn_check_top(a);
@@ -58,23 +56,22 @@ int BN_rshift1(BIGNUM *r, const BIGNUM *a)
}
i = a->top;
ap = a->d;
- j = i - (ap[i - 1] == 1);
if (a != r) {
- if (bn_wexpand(r, j) == NULL)
+ if (bn_wexpand(r, i) == NULL)
return 0;
r->neg = a->neg;
}
rp = r->d;
+ r->top = i;
t = ap[--i];
- c = (t & 1) ? BN_TBIT : 0;
- if (t >>= 1)
- rp[i] = t;
+ rp[i] = t >> 1;
+ c = t << (BN_BITS2 - 1);
+ r->top -= (t == 1);
while (i > 0) {
t = ap[--i];
rp[i] = ((t >> 1) & BN_MASK2) | c;
- c = (t & 1) ? BN_TBIT : 0;
+ c = t << (BN_BITS2 - 1);
}
- r->top = j;
if (!r->top)
r->neg = 0; /* don't allow negative zero */
bn_check_top(r);
@@ -152,57 +149,19 @@ int bn_lshift_fixed_top(BIGNUM *r, const BIGNUM *a, int n)
int BN_rshift(BIGNUM *r, const BIGNUM *a, int n)
{
- int i, j, nw, lb, rb;
- BN_ULONG *t, *f;
- BN_ULONG l, tmp;
-
- bn_check_top(r);
- bn_check_top(a);
+ int ret = 0;
if (n < 0) {
BNerr(BN_F_BN_RSHIFT, BN_R_INVALID_SHIFT);
return 0;
}
- nw = n / BN_BITS2;
- rb = n % BN_BITS2;
- lb = BN_BITS2 - rb;
- if (nw >= a->top || a->top == 0) {
- BN_zero(r);
- return 1;
- }
- i = (BN_num_bits(a) - n + (BN_BITS2 - 1)) / BN_BITS2;
- if (r != a) {
- if (bn_wexpand(r, i) == NULL)
- return 0;
- r->neg = a->neg;
- } else {
- if (n == 0)
- return 1; /* or the copying loop will go berserk */
- }
-
- f = &(a->d[nw]);
- t = r->d;
- j = a->top - nw;
- r->top = i;
+ ret = bn_rshift_fixed_top(r, a, n);
- if (rb == 0) {
- for (i = j; i != 0; i--)
- *(t++) = *(f++);
- } else {
- l = *(f++);
- for (i = j - 1; i != 0; i--) {
- tmp = (l >> rb) & BN_MASK2;
- l = *(f++);
- *(t++) = (tmp | (l << lb)) & BN_MASK2;
- }
- if ((l = (l >> rb) & BN_MASK2))
- *(t) = l;
- }
- if (!r->top)
- r->neg = 0; /* don't allow negative zero */
+ bn_correct_top(r);
bn_check_top(r);
- return 1;
+
+ return ret;
}
/*
diff --git a/crypto/bn/bn_sqr.c b/crypto/bn/bn_sqr.c
index 0c0a590f..7f3a1791 100644
--- a/crypto/bn/bn_sqr.c
+++ b/crypto/bn/bn_sqr.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
/* r must not be a */
/*
diff --git a/crypto/bn/bn_sqrt.c b/crypto/bn/bn_sqrt.c
index c3e66b03..1723d5de 100644
--- a/crypto/bn/bn_sqrt.c
+++ b/crypto/bn/bn_sqrt.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
/*
diff --git a/crypto/bn/bn_srp.c b/crypto/bn/bn_srp.c
index 27b6ebe5..820757be 100644
--- a/crypto/bn/bn_srp.c
+++ b/crypto/bn/bn_srp.c
@@ -7,13 +7,13 @@
* https://www.openssl.org/source/license.html
*/
-#include "bn_lcl.h"
+#include "bn_local.h"
#include "internal/nelem.h"
#ifndef OPENSSL_NO_SRP
#include <openssl/srp.h>
-#include "internal/bn_srp.h"
+#include "crypto/bn_srp.h"
# if (BN_BYTES == 8)
# if (defined(_WIN32) || defined(_WIN64)) && !defined(__MINGW32__)
diff --git a/crypto/bn/bn_word.c b/crypto/bn/bn_word.c
index 262d7668..18fb3030 100644
--- a/crypto/bn/bn_word.c
+++ b/crypto/bn/bn_word.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "bn_lcl.h"
+#include "bn_local.h"
BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w)
{
diff --git a/crypto/bn/bn_x931p.c b/crypto/bn/bn_x931p.c
index 9eb8384f..00995025 100644
--- a/crypto/bn/bn_x931p.c
+++ b/crypto/bn/bn_x931p.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <openssl/bn.h>
-#include "bn_lcl.h"
+#include "bn_local.h"
/* X9.31 routines for prime derivation */
diff --git a/crypto/bn/build.info b/crypto/bn/build.info
index a463edda..b9ed5322 100644
--- a/crypto/bn/build.info
+++ b/crypto/bn/build.info
@@ -6,7 +6,6 @@ SOURCE[../../libcrypto]=\
{- $target{bn_asm_src} -} \
bn_recp.c bn_mont.c bn_mpi.c bn_exp2.c bn_gf2m.c bn_nist.c \
bn_depr.c bn_const.c bn_x931p.c bn_intern.c bn_dh.c bn_srp.c
-INCLUDE[../../libcrypto]=../../crypto/include
INCLUDE[bn_exp.o]=..
diff --git a/crypto/bn/rsaz_exp.h b/crypto/bn/rsaz_exp.h
index c5864f8a..88f65a4b 100644
--- a/crypto/bn/rsaz_exp.h
+++ b/crypto/bn/rsaz_exp.h
@@ -12,8 +12,8 @@
* (2) University of Haifa, Israel
*/
-#ifndef RSAZ_EXP_H
-# define RSAZ_EXP_H
+#ifndef OSSL_CRYPTO_BN_RSAZ_EXP_H
+# define OSSL_CRYPTO_BN_RSAZ_EXP_H
# undef RSAZ_ENABLED
# if defined(OPENSSL_BN_ASM_MONT) && \
diff --git a/crypto/c64xpluscpuid.pl b/crypto/c64xpluscpuid.pl
index b7b11d50..9aeee574 100644
--- a/crypto/c64xpluscpuid.pl
+++ b/crypto/c64xpluscpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -284,4 +284,4 @@ bus_loop2_done?:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/camellia/asm/cmll-x86.pl b/crypto/camellia/asm/cmll-x86.pl
index 55af9b4e..cd514acf 100644
--- a/crypto/camellia/asm/cmll-x86.pl
+++ b/crypto/camellia/asm/cmll-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1147,4 +1147,4 @@ my ($s0,$s1,$s2,$s3) = @T;
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/camellia/asm/cmll-x86_64.pl b/crypto/camellia/asm/cmll-x86_64.pl
index 02c52c3e..59e18401 100644
--- a/crypto/camellia/asm/cmll-x86_64.pl
+++ b/crypto/camellia/asm/cmll-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -125,11 +125,13 @@ $code=<<___;
.type Camellia_EncryptBlock,\@abi-omnipotent
.align 16
Camellia_EncryptBlock:
+.cfi_startproc
movl \$128,%eax
subl $arg0d,%eax
movl \$3,$arg0d
adcl \$0,$arg0d # keyBitLength==128?3:4
jmp .Lenc_rounds
+.cfi_endproc
.size Camellia_EncryptBlock,.-Camellia_EncryptBlock
# V2
.globl Camellia_EncryptBlock_Rounds
@@ -198,6 +200,7 @@ Camellia_EncryptBlock_Rounds:
.type _x86_64_Camellia_encrypt,\@abi-omnipotent
.align 16
_x86_64_Camellia_encrypt:
+.cfi_startproc
xor 0($key),@S[1]
xor 4($key),@S[0] # ^=key[0-3]
xor 8($key),@S[3]
@@ -241,6 +244,7 @@ $code.=<<___;
mov $t3,@S[3]
.byte 0xf3,0xc3 # rep ret
+.cfi_endproc
.size _x86_64_Camellia_encrypt,.-_x86_64_Camellia_encrypt
# V1.x API
@@ -248,11 +252,13 @@ $code.=<<___;
.type Camellia_DecryptBlock,\@abi-omnipotent
.align 16
Camellia_DecryptBlock:
+.cfi_startproc
movl \$128,%eax
subl $arg0d,%eax
movl \$3,$arg0d
adcl \$0,$arg0d # keyBitLength==128?3:4
jmp .Ldec_rounds
+.cfi_endproc
.size Camellia_DecryptBlock,.-Camellia_DecryptBlock
# V2
.globl Camellia_DecryptBlock_Rounds
@@ -321,6 +327,7 @@ Camellia_DecryptBlock_Rounds:
.type _x86_64_Camellia_decrypt,\@abi-omnipotent
.align 16
_x86_64_Camellia_decrypt:
+.cfi_startproc
xor 0($key),@S[1]
xor 4($key),@S[0] # ^=key[0-3]
xor 8($key),@S[3]
@@ -365,6 +372,7 @@ $code.=<<___;
mov $t1,@S[3]
.byte 0xf3,0xc3 # rep ret
+.cfi_endproc
.size _x86_64_Camellia_decrypt,.-_x86_64_Camellia_decrypt
___
@@ -1142,4 +1150,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/camellia/asm/cmllt4-sparcv9.pl b/crypto/camellia/asm/cmllt4-sparcv9.pl
index 6396679a..71a40f6a 100644
--- a/crypto/camellia/asm/cmllt4-sparcv9.pl
+++ b/crypto/camellia/asm/cmllt4-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -936,4 +936,4 @@ ___
&emit_assembler();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/camellia/camellia.c b/crypto/camellia/camellia.c
index c200b823..f623864b 100644
--- a/crypto/camellia/camellia.c
+++ b/crypto/camellia/camellia.c
@@ -40,7 +40,7 @@
*/
#include <openssl/camellia.h>
-#include "cmll_locl.h"
+#include "cmll_local.h"
#include <string.h>
#include <stdlib.h>
diff --git a/crypto/camellia/cmll_ecb.c b/crypto/camellia/cmll_ecb.c
index d932f1b3..5760d1ed 100644
--- a/crypto/camellia/cmll_ecb.c
+++ b/crypto/camellia/cmll_ecb.c
@@ -8,7 +8,7 @@
*/
#include <openssl/camellia.h>
-#include "cmll_locl.h"
+#include "cmll_local.h"
void Camellia_ecb_encrypt(const unsigned char *in, unsigned char *out,
const CAMELLIA_KEY *key, const int enc)
diff --git a/crypto/camellia/cmll_locl.h b/crypto/camellia/cmll_local.h
similarity index 91%
rename from crypto/camellia/cmll_locl.h
rename to crypto/camellia/cmll_local.h
index 6403b390..d16baa55 100644
--- a/crypto/camellia/cmll_locl.h
+++ b/crypto/camellia/cmll_local.h
@@ -22,8 +22,8 @@
* to the OpenSSL project.
*/
-#ifndef HEADER_CAMELLIA_LOCL_H
-# define HEADER_CAMELLIA_LOCL_H
+#ifndef OSSL_CRYPTO_CAMELLIA_CMLL_LOCAL_H
+# define OSSL_CRYPTO_CAMELLIA_CMLL_LOCAL_H
typedef unsigned int u32;
typedef unsigned char u8;
@@ -40,4 +40,4 @@ void Camellia_EncryptBlock(int keyBitLength, const u8 plaintext[],
const KEY_TABLE_TYPE keyTable, u8 ciphertext[]);
void Camellia_DecryptBlock(int keyBitLength, const u8 ciphertext[],
const KEY_TABLE_TYPE keyTable, u8 plaintext[]);
-#endif /* #ifndef HEADER_CAMELLIA_LOCL_H */
+#endif /* #ifndef OSSL_CRYPTO_CAMELLIA_CMLL_LOCAL_H */
diff --git a/crypto/camellia/cmll_misc.c b/crypto/camellia/cmll_misc.c
index e5f014b7..d8fc3738 100644
--- a/crypto/camellia/cmll_misc.c
+++ b/crypto/camellia/cmll_misc.c
@@ -9,7 +9,7 @@
#include <openssl/opensslv.h>
#include <openssl/camellia.h>
-#include "cmll_locl.h"
+#include "cmll_local.h"
int Camellia_set_key(const unsigned char *userKey, const int bits,
CAMELLIA_KEY *key)
diff --git a/crypto/cast/asm/cast-586.pl b/crypto/cast/asm/cast-586.pl
index d5d38965..04710819 100644
--- a/crypto/cast/asm/cast-586.pl
+++ b/crypto/cast/asm/cast-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -46,7 +46,7 @@ $S4="CAST_S_table3";
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub CAST_encrypt {
local($name,$enc)=@_;
diff --git a/crypto/cast/c_cfb64.c b/crypto/cast/c_cfb64.c
index bd7cb2f4..72221595 100644
--- a/crypto/cast/c_cfb64.c
+++ b/crypto/cast/c_cfb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/cast.h>
-#include "cast_lcl.h"
+#include "cast_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/cast/c_ecb.c b/crypto/cast/c_ecb.c
index da417943..6fe093f7 100644
--- a/crypto/cast/c_ecb.c
+++ b/crypto/cast/c_ecb.c
@@ -8,7 +8,7 @@
*/
#include <openssl/cast.h>
-#include "cast_lcl.h"
+#include "cast_local.h"
#include <openssl/opensslv.h>
void CAST_ecb_encrypt(const unsigned char *in, unsigned char *out,
diff --git a/crypto/cast/c_enc.c b/crypto/cast/c_enc.c
index 700b6d16..d27d1fc0 100644
--- a/crypto/cast/c_enc.c
+++ b/crypto/cast/c_enc.c
@@ -8,7 +8,7 @@
*/
#include <openssl/cast.h>
-#include "cast_lcl.h"
+#include "cast_local.h"
void CAST_encrypt(CAST_LONG *data, const CAST_KEY *key)
{
diff --git a/crypto/cast/c_ofb64.c b/crypto/cast/c_ofb64.c
index dffb0747..49c0cfad 100644
--- a/crypto/cast/c_ofb64.c
+++ b/crypto/cast/c_ofb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/cast.h>
-#include "cast_lcl.h"
+#include "cast_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/cast/c_skey.c b/crypto/cast/c_skey.c
index 962d2a60..0311482d 100644
--- a/crypto/cast/c_skey.c
+++ b/crypto/cast/c_skey.c
@@ -8,7 +8,7 @@
*/
#include <openssl/cast.h>
-#include "cast_lcl.h"
+#include "cast_local.h"
#include "cast_s.h"
#define CAST_exp(l,A,a,n) \
diff --git a/crypto/cast/cast_lcl.h b/crypto/cast/cast_local.h
similarity index 100%
rename from crypto/cast/cast_lcl.h
rename to crypto/cast/cast_local.h
diff --git a/crypto/chacha/asm/chacha-armv4.pl b/crypto/chacha/asm/chacha-armv4.pl
index d3fadcc6..81c616ad 100755
--- a/crypto/chacha/asm/chacha-armv4.pl
+++ b/crypto/chacha/asm/chacha-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1157,4 +1157,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/chacha/asm/chacha-armv8.pl b/crypto/chacha/asm/chacha-armv8.pl
index e90be6d0..84c98014 100755
--- a/crypto/chacha/asm/chacha-armv8.pl
+++ b/crypto/chacha/asm/chacha-armv8.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -125,6 +125,7 @@ $code.=<<___;
.text
.extern OPENSSL_armcap_P
+.hidden OPENSSL_armcap_P
.align 5
.Lsigma:
@@ -1141,4 +1142,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # flush
+close STDOUT or die "error closing STDOUT: $!"; # flush
diff --git a/crypto/chacha/asm/chacha-c64xplus.pl b/crypto/chacha/asm/chacha-c64xplus.pl
index 266401eb..4bd18a4f 100755
--- a/crypto/chacha/asm/chacha-c64xplus.pl
+++ b/crypto/chacha/asm/chacha-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -923,4 +923,4 @@ $code.=<<___;
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/chacha/asm/chacha-ppc.pl b/crypto/chacha/asm/chacha-ppc.pl
index f4f8610b..3073deac 100755
--- a/crypto/chacha/asm/chacha-ppc.pl
+++ b/crypto/chacha/asm/chacha-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1345,4 +1345,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/chacha/asm/chacha-s390x.pl b/crypto/chacha/asm/chacha-s390x.pl
index c3152647..dd66a9c6 100755
--- a/crypto/chacha/asm/chacha-s390x.pl
+++ b/crypto/chacha/asm/chacha-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -323,4 +323,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/chacha/asm/chacha-x86.pl b/crypto/chacha/asm/chacha-x86.pl
index 13c217dc..492fda5f 100755
--- a/crypto/chacha/asm/chacha-x86.pl
+++ b/crypto/chacha/asm/chacha-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -62,7 +62,7 @@ $ymm=1 if ($xmm && !$ymm && $ARGV[0] eq "win32" &&
$1>=10); # first version supporting AVX
$ymm=1 if ($xmm && !$ymm &&
- `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|based on LLVM) ([3-9]\.[0-9]+)/ &&
+ `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|based on LLVM) ([0-9]+\.[0-9]+)/ &&
$2>=3.0); # first version supporting AVX
$a="eax";
@@ -1152,4 +1152,4 @@ sub XOPROUND {
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/chacha/asm/chacha-x86_64.pl b/crypto/chacha/asm/chacha-x86_64.pl
index b54f3b15..227ee59f 100755
--- a/crypto/chacha/asm/chacha-x86_64.pl
+++ b/crypto/chacha/asm/chacha-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -85,7 +85,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -4002,4 +4002,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/chacha/chacha_enc.c b/crypto/chacha/chacha_enc.c
index 239f68ab..18251eac 100644
--- a/crypto/chacha/chacha_enc.c
+++ b/crypto/chacha/chacha_enc.c
@@ -11,7 +11,8 @@
#include <string.h>
-#include "internal/chacha.h"
+#include "crypto/chacha.h"
+#include "crypto/ctype.h"
typedef unsigned int u32;
typedef unsigned char u8;
@@ -78,10 +79,18 @@ void ChaCha20_ctr32(unsigned char *out, const unsigned char *inp,
size_t todo, i;
/* sigma constant "expand 32-byte k" in little-endian encoding */
- input[0] = ((u32)'e') | ((u32)'x'<<8) | ((u32)'p'<<16) | ((u32)'a'<<24);
- input[1] = ((u32)'n') | ((u32)'d'<<8) | ((u32)' '<<16) | ((u32)'3'<<24);
- input[2] = ((u32)'2') | ((u32)'-'<<8) | ((u32)'b'<<16) | ((u32)'y'<<24);
- input[3] = ((u32)'t') | ((u32)'e'<<8) | ((u32)' '<<16) | ((u32)'k'<<24);
+ input[0] = ((u32)ossl_toascii('e')) | ((u32)ossl_toascii('x') << 8)
+ | ((u32)ossl_toascii('p') << 16)
+ | ((u32)ossl_toascii('a') << 24);
+ input[1] = ((u32)ossl_toascii('n')) | ((u32)ossl_toascii('d') << 8)
+ | ((u32)ossl_toascii(' ') << 16)
+ | ((u32)ossl_toascii('3') << 24);
+ input[2] = ((u32)ossl_toascii('2')) | ((u32)ossl_toascii('-') << 8)
+ | ((u32)ossl_toascii('b') << 16)
+ | ((u32)ossl_toascii('y') << 24);
+ input[3] = ((u32)ossl_toascii('t')) | ((u32)ossl_toascii('e') << 8)
+ | ((u32)ossl_toascii(' ') << 16)
+ | ((u32)ossl_toascii('k') << 24);
input[4] = key[0];
input[5] = key[1];
diff --git a/crypto/cmac/cm_ameth.c b/crypto/cmac/cm_ameth.c
index a58454a0..82adf18c 100644
--- a/crypto/cmac/cm_ameth.c
+++ b/crypto/cmac/cm_ameth.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/cmac.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
/*
* CMAC "ASN1" method. This is just here to indicate the maximum CMAC output
diff --git a/crypto/cmac/cm_pmeth.c b/crypto/cmac/cm_pmeth.c
index 10748f14..5574f25b 100644
--- a/crypto/cmac/cm_pmeth.c
+++ b/crypto/cmac/cm_pmeth.c
@@ -13,7 +13,7 @@
#include <openssl/x509v3.h>
#include <openssl/evp.h>
#include <openssl/cmac.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/* The context structure and "key" is simply a CMAC_CTX */
diff --git a/crypto/cmac/cmac.c b/crypto/cmac/cmac.c
index 6989c32d..1fac5310 100644
--- a/crypto/cmac/cmac.c
+++ b/crypto/cmac/cmac.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -116,11 +116,18 @@ int CMAC_Init(CMAC_CTX *ctx, const void *key, size_t keylen,
return 1;
}
/* Initialise context */
- if (cipher && !EVP_EncryptInit_ex(ctx->cctx, cipher, impl, NULL, NULL))
- return 0;
+ if (cipher != NULL) {
+ /* Ensure we can't use this ctx until we also have a key */
+ ctx->nlast_block = -1;
+ if (!EVP_EncryptInit_ex(ctx->cctx, cipher, impl, NULL, NULL))
+ return 0;
+ }
/* Non-NULL key means initialisation complete */
- if (key) {
+ if (key != NULL) {
int bl;
+
+ /* If anything fails then ensure we can't use this ctx */
+ ctx->nlast_block = -1;
if (!EVP_CIPHER_CTX_cipher(ctx->cctx))
return 0;
if (!EVP_CIPHER_CTX_set_key_length(ctx->cctx, keylen))
@@ -128,7 +135,7 @@ int CMAC_Init(CMAC_CTX *ctx, const void *key, size_t keylen,
if (!EVP_EncryptInit_ex(ctx->cctx, NULL, NULL, key, zero_iv))
return 0;
bl = EVP_CIPHER_CTX_block_size(ctx->cctx);
- if (!EVP_Cipher(ctx->cctx, ctx->tbl, zero_iv, bl))
+ if (EVP_Cipher(ctx->cctx, ctx->tbl, zero_iv, bl) <= 0)
return 0;
make_kn(ctx->k1, ctx->tbl, bl);
make_kn(ctx->k2, ctx->k1, bl);
@@ -166,12 +173,12 @@ int CMAC_Update(CMAC_CTX *ctx, const void *in, size_t dlen)
return 1;
data += nleft;
/* Else not final block so encrypt it */
- if (!EVP_Cipher(ctx->cctx, ctx->tbl, ctx->last_block, bl))
+ if (EVP_Cipher(ctx->cctx, ctx->tbl, ctx->last_block, bl) <= 0)
return 0;
}
/* Encrypt all but one of the complete blocks left */
while (dlen > bl) {
- if (!EVP_Cipher(ctx->cctx, ctx->tbl, data, bl))
+ if (EVP_Cipher(ctx->cctx, ctx->tbl, data, bl) <= 0)
return 0;
dlen -= bl;
data += bl;
diff --git a/crypto/cms/cms_asn1.c b/crypto/cms/cms_asn1.c
index 993ea6b2..08069d72 100644
--- a/crypto/cms/cms_asn1.c
+++ b/crypto/cms/cms_asn1.c
@@ -11,7 +11,7 @@
#include <openssl/pem.h>
#include <openssl/x509v3.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
ASN1_SEQUENCE(CMS_IssuerAndSerialNumber) = {
diff --git a/crypto/cms/cms_att.c b/crypto/cms/cms_att.c
index 05660197..4f716619 100644
--- a/crypto/cms/cms_att.c
+++ b/crypto/cms/cms_att.c
@@ -12,7 +12,7 @@
#include <openssl/x509v3.h>
#include <openssl/err.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
#include "internal/nelem.h"
/*-
diff --git a/crypto/cms/cms_cd.c b/crypto/cms/cms_cd.c
index f05e3084..45365b8b 100644
--- a/crypto/cms/cms_cd.c
+++ b/crypto/cms/cms_cd.c
@@ -15,7 +15,7 @@
#include <openssl/cms.h>
#include <openssl/bio.h>
#include <openssl/comp.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
#ifdef ZLIB
diff --git a/crypto/cms/cms_dd.c b/crypto/cms/cms_dd.c
index 5da6802f..0df2e698 100644
--- a/crypto/cms/cms_dd.c
+++ b/crypto/cms/cms_dd.c
@@ -13,7 +13,7 @@
#include <openssl/x509v3.h>
#include <openssl/err.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
/* CMS DigestedData Utilities */
diff --git a/crypto/cms/cms_enc.c b/crypto/cms/cms_enc.c
index a1719830..fc490303 100644
--- a/crypto/cms/cms_enc.c
+++ b/crypto/cms/cms_enc.c
@@ -14,7 +14,7 @@
#include <openssl/err.h>
#include <openssl/cms.h>
#include <openssl/rand.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
/* CMS EncryptedData Utilities */
diff --git a/crypto/cms/cms_env.c b/crypto/cms/cms_env.c
index 26fb81f7..04940146 100644
--- a/crypto/cms/cms_env.c
+++ b/crypto/cms/cms_env.c
@@ -14,9 +14,9 @@
#include <openssl/err.h>
#include <openssl/cms.h>
#include <openssl/aes.h>
-#include "cms_lcl.h"
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "cms_local.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
/* CMS EnvelopedData Utilities */
diff --git a/crypto/cms/cms_ess.c b/crypto/cms/cms_ess.c
index 4780231c..a21c443a 100644
--- a/crypto/cms/cms_ess.c
+++ b/crypto/cms/cms_ess.c
@@ -14,7 +14,7 @@
#include <openssl/x509v3.h>
#include <openssl/err.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
IMPLEMENT_ASN1_FUNCTIONS(CMS_ReceiptRequest)
diff --git a/crypto/cms/cms_io.c b/crypto/cms/cms_io.c
index d18f980a..b37e485f 100644
--- a/crypto/cms/cms_io.c
+++ b/crypto/cms/cms_io.c
@@ -12,7 +12,7 @@
#include <openssl/err.h>
#include <openssl/pem.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
int CMS_stream(unsigned char ***boundary, CMS_ContentInfo *cms)
{
diff --git a/crypto/cms/cms_kari.c b/crypto/cms/cms_kari.c
index 5e83814d..cafc3040 100644
--- a/crypto/cms/cms_kari.c
+++ b/crypto/cms/cms_kari.c
@@ -14,8 +14,8 @@
#include <openssl/err.h>
#include <openssl/cms.h>
#include <openssl/aes.h>
-#include "cms_lcl.h"
-#include "internal/asn1_int.h"
+#include "cms_local.h"
+#include "crypto/asn1.h"
/* Key Agreement Recipient Info (KARI) routines */
@@ -162,7 +162,7 @@ int CMS_RecipientInfo_kari_set0_pkey(CMS_RecipientInfo *ri, EVP_PKEY *pk)
if (!pk)
return 1;
pctx = EVP_PKEY_CTX_new(pk, NULL);
- if (!pctx || !EVP_PKEY_derive_init(pctx))
+ if (!pctx || EVP_PKEY_derive_init(pctx) <= 0)
goto err;
kari->pctx = pctx;
return 1;
diff --git a/crypto/cms/cms_lib.c b/crypto/cms/cms_lib.c
index c2cac260..be4c2c70 100644
--- a/crypto/cms/cms_lib.c
+++ b/crypto/cms/cms_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,7 +14,7 @@
#include <openssl/bio.h>
#include <openssl/asn1.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
+#include "cms_local.h"
IMPLEMENT_ASN1_FUNCTIONS(CMS_ContentInfo)
IMPLEMENT_ASN1_PRINT_FUNCTION(CMS_ContentInfo)
@@ -92,12 +92,13 @@ BIO *CMS_dataInit(CMS_ContentInfo *cms, BIO *icont)
default:
CMSerr(CMS_F_CMS_DATAINIT, CMS_R_UNSUPPORTED_TYPE);
- return NULL;
+ goto err;
}
if (cmsbio)
return BIO_push(cmsbio, cont);
+err:
if (!icont)
BIO_free(cont);
return NULL;
diff --git a/crypto/cms/cms_lcl.h b/crypto/cms/cms_local.h
similarity index 99%
rename from crypto/cms/cms_lcl.h
rename to crypto/cms/cms_local.h
index 68aa0127..a0ce4448 100644
--- a/crypto/cms/cms_lcl.h
+++ b/crypto/cms/cms_local.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_CMS_LCL_H
-# define HEADER_CMS_LCL_H
+#ifndef OSSL_CRYPTO_CMS_LOCAL_H
+# define OSSL_CRYPTO_CMS_LOCAL_H
# include <openssl/x509.h>
diff --git a/crypto/cms/cms_pwri.c b/crypto/cms/cms_pwri.c
index 26e3bdcf..d7414883 100644
--- a/crypto/cms/cms_pwri.c
+++ b/crypto/cms/cms_pwri.c
@@ -15,8 +15,8 @@
#include <openssl/cms.h>
#include <openssl/rand.h>
#include <openssl/aes.h>
-#include "cms_lcl.h"
-#include "internal/asn1_int.h"
+#include "cms_local.h"
+#include "crypto/asn1.h"
int CMS_RecipientInfo_set0_password(CMS_RecipientInfo *ri,
unsigned char *pass, ossl_ssize_t passlen)
diff --git a/crypto/cms/cms_sd.c b/crypto/cms/cms_sd.c
index 3841513f..3f2a7825 100644
--- a/crypto/cms/cms_sd.c
+++ b/crypto/cms/cms_sd.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,9 +14,9 @@
#include <openssl/x509v3.h>
#include <openssl/err.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "cms_local.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
/* CMS SignedData Utilities */
@@ -897,8 +897,10 @@ int CMS_add_simple_smimecap(STACK_OF(X509_ALGOR) **algs,
ASN1_INTEGER *key = NULL;
if (keysize > 0) {
key = ASN1_INTEGER_new();
- if (key == NULL || !ASN1_INTEGER_set(key, keysize))
+ if (key == NULL || !ASN1_INTEGER_set(key, keysize)) {
+ ASN1_INTEGER_free(key);
return 0;
+ }
}
alg = X509_ALGOR_new();
if (alg == NULL) {
diff --git a/crypto/cms/cms_smime.c b/crypto/cms/cms_smime.c
index 10815639..6e7dbc4d 100644
--- a/crypto/cms/cms_smime.c
+++ b/crypto/cms/cms_smime.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,8 +13,8 @@
#include <openssl/x509v3.h>
#include <openssl/err.h>
#include <openssl/cms.h>
-#include "cms_lcl.h"
-#include "internal/asn1_int.h"
+#include "cms_local.h"
+#include "crypto/asn1.h"
static BIO *cms_get_text_bio(BIO *out, unsigned int flags)
{
@@ -341,7 +341,7 @@ int CMS_verify(CMS_ContentInfo *cms, STACK_OF(X509) *certs,
char *ptr;
long len;
len = BIO_get_mem_data(dcont, &ptr);
- tmpin = BIO_new_mem_buf(ptr, len);
+ tmpin = (len == 0) ? dcont : BIO_new_mem_buf(ptr, len);
if (tmpin == NULL) {
CMSerr(CMS_F_CMS_VERIFY, ERR_R_MALLOC_FAILURE);
goto err2;
diff --git a/crypto/comp/c_zlib.c b/crypto/comp/c_zlib.c
index d688deee..b8193379 100644
--- a/crypto/comp/c_zlib.c
+++ b/crypto/comp/c_zlib.c
@@ -13,9 +13,9 @@
#include <openssl/objects.h>
#include "internal/comp.h"
#include <openssl/err.h>
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include "internal/bio.h"
-#include "comp_lcl.h"
+#include "comp_local.h"
COMP_METHOD *COMP_zlib(void);
@@ -598,6 +598,28 @@ static long bio_zlib_ctrl(BIO *b, int cmd, long num, void *ptr)
BIO_copy_next_retry(b);
break;
+ case BIO_CTRL_WPENDING:
+ if (ctx->obuf == NULL)
+ return 0;
+
+ if (ctx->odone) {
+ ret = ctx->ocount;
+ } else {
+ ret = ctx->ocount;
+ if (ret == 0)
+ /* Unknown amount pending but we are not finished */
+ ret = 1;
+ }
+ if (ret == 0)
+ ret = BIO_ctrl(next, cmd, num, ptr);
+ break;
+
+ case BIO_CTRL_PENDING:
+ ret = ctx->zin.avail_in;
+ if (ret == 0)
+ ret = BIO_ctrl(next, cmd, num, ptr);
+ break;
+
default:
ret = BIO_ctrl(next, cmd, num, ptr);
break;
diff --git a/crypto/comp/comp_lib.c b/crypto/comp/comp_lib.c
index 6ae21144..56920e1c 100644
--- a/crypto/comp/comp_lib.c
+++ b/crypto/comp/comp_lib.c
@@ -13,7 +13,7 @@
#include <openssl/objects.h>
#include <openssl/comp.h>
#include <openssl/err.h>
-#include "comp_lcl.h"
+#include "comp_local.h"
COMP_CTX *COMP_CTX_new(COMP_METHOD *meth)
{
diff --git a/crypto/comp/comp_lcl.h b/crypto/comp/comp_local.h
similarity index 100%
rename from crypto/comp/comp_lcl.h
rename to crypto/comp/comp_local.h
diff --git a/crypto/conf/conf_def.c b/crypto/conf/conf_def.c
index 8e3f42a0..31c02cc4 100644
--- a/crypto/conf/conf_def.c
+++ b/crypto/conf/conf_def.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -185,6 +185,7 @@ static int def_load_bio(CONF *conf, BIO *in, long *line)
BUF_MEM *buff = NULL;
char *s, *p, *end;
int again;
+ int first_call = 1;
long eline = 0;
char btmp[DECIMAL_SIZE(eline) + 1];
CONF_VALUE *v = NULL, *tv;
@@ -233,6 +234,19 @@ static int def_load_bio(CONF *conf, BIO *in, long *line)
BIO_gets(in, p, CONFBUFSIZE - 1);
p[CONFBUFSIZE - 1] = '\0';
ii = i = strlen(p);
+ if (first_call) {
+ /* Other BOMs imply unsupported multibyte encoding,
+ * so don't strip them and let the error raise */
+ const unsigned char utf8_bom[3] = {0xEF, 0xBB, 0xBF};
+
+ if (i >= 3 && memcmp(p, utf8_bom, 3) == 0) {
+ memmove(p, p + 3, i - 3);
+ p[i - 3] = 0;
+ i -= 3;
+ ii -= 3;
+ }
+ first_call = 0;
+ }
if (i == 0 && !again) {
/* the currently processed BIO is at EOF */
BIO *parent;
@@ -376,11 +390,13 @@ static int def_load_bio(CONF *conf, BIO *in, long *line)
if (biosk == NULL) {
if ((biosk = sk_BIO_new_null()) == NULL) {
CONFerr(CONF_F_DEF_LOAD_BIO, ERR_R_MALLOC_FAILURE);
+ BIO_free(next);
goto err;
}
}
if (!sk_BIO_push(biosk, in)) {
CONFerr(CONF_F_DEF_LOAD_BIO, ERR_R_MALLOC_FAILURE);
+ BIO_free(next);
goto err;
}
/* continue with reading from the included BIO */
@@ -703,7 +719,9 @@ static BIO *process_include(char *include, OPENSSL_DIR_CTX **dirctx,
static BIO *get_next_file(const char *path, OPENSSL_DIR_CTX **dirctx)
{
const char *filename;
+ size_t pathlen;
+ pathlen = strlen(path);
while ((filename = OPENSSL_DIR_read(dirctx, path)) != NULL) {
size_t namelen;
@@ -716,7 +734,7 @@ static BIO *get_next_file(const char *path, OPENSSL_DIR_CTX **dirctx)
char *newpath;
BIO *bio;
- newlen = strlen(path) + namelen + 2;
+ newlen = pathlen + namelen + 2;
newpath = OPENSSL_zalloc(newlen);
if (newpath == NULL) {
CONFerr(CONF_F_GET_NEXT_FILE, ERR_R_MALLOC_FAILURE);
@@ -727,14 +745,11 @@ static BIO *get_next_file(const char *path, OPENSSL_DIR_CTX **dirctx)
* If the given path isn't clear VMS syntax,
* we treat it as on Unix.
*/
- {
- size_t pathlen = strlen(path);
-
- if (path[pathlen - 1] == ']' || path[pathlen - 1] == '>'
- || path[pathlen - 1] == ':') {
- /* Clear VMS directory syntax, just copy as is */
- OPENSSL_strlcpy(newpath, path, newlen);
- }
+ if (path[pathlen - 1] == ']'
+ || path[pathlen - 1] == '>'
+ || path[pathlen - 1] == ':') {
+ /* Clear VMS directory syntax, just copy as is */
+ OPENSSL_strlcpy(newpath, path, newlen);
}
#endif
if (newpath[0] == '\0') {
diff --git a/crypto/conf/conf_def.h b/crypto/conf/conf_def.h
index 2016d31b..1e4a03e1 100644
--- a/crypto/conf/conf_def.h
+++ b/crypto/conf/conf_def.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/conf/keysets.pl
*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
diff --git a/crypto/conf/conf_lib.c b/crypto/conf/conf_lib.c
index 2d40ac97..add1dfa1 100644
--- a/crypto/conf/conf_lib.c
+++ b/crypto/conf/conf_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,7 +11,7 @@
#include <stdio.h>
#include <string.h>
#include "internal/conf.h"
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/conf.h>
@@ -356,8 +356,10 @@ OPENSSL_INIT_SETTINGS *OPENSSL_INIT_new(void)
{
OPENSSL_INIT_SETTINGS *ret = malloc(sizeof(*ret));
- if (ret != NULL)
- memset(ret, 0, sizeof(*ret));
+ if (ret == NULL)
+ return NULL;
+
+ memset(ret, 0, sizeof(*ret));
ret->flags = DEFAULT_CONF_MFLAGS;
return ret;
diff --git a/crypto/conf/conf_lcl.h b/crypto/conf/conf_local.h
similarity index 100%
rename from crypto/conf/conf_lcl.h
rename to crypto/conf/conf_local.h
diff --git a/crypto/conf/conf_mall.c b/crypto/conf/conf_mall.c
index 7e86948e..d7eaa850 100644
--- a/crypto/conf/conf_mall.c
+++ b/crypto/conf/conf_mall.c
@@ -14,7 +14,7 @@
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include <openssl/engine.h>
-#include "conf_lcl.h"
+#include "conf_local.h"
/* Load all OpenSSL builtin modules */
diff --git a/crypto/conf/conf_ssl.c b/crypto/conf/conf_ssl.c
index 387f2cf4..4bd8117d 100644
--- a/crypto/conf/conf_ssl.c
+++ b/crypto/conf/conf_ssl.c
@@ -12,7 +12,7 @@
#include <openssl/conf.h>
#include <openssl/err.h>
#include "internal/sslconf.h"
-#include "conf_lcl.h"
+#include "conf_local.h"
/*
* SSL library configuration module placeholder. We load it here but defer
diff --git a/crypto/cryptlib.c b/crypto/cryptlib.c
index 7b761a3a..1f36b20c 100644
--- a/crypto/cryptlib.c
+++ b/crypto/cryptlib.c
@@ -9,7 +9,7 @@
*/
#include "e_os.h"
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include <openssl/safestack.h>
#if defined(__i386) || defined(__i386__) || defined(_M_IX86) || \
@@ -49,7 +49,7 @@ typedef char variant_char;
# define ossl_getenv getenv
# endif
-# include "internal/ctype.h"
+# include "crypto/ctype.h"
static int todigit(variant_char c)
{
diff --git a/crypto/ct/ct_b64.c b/crypto/ct/ct_b64.c
index 109ffcdc..4abe11ca 100644
--- a/crypto/ct/ct_b64.c
+++ b/crypto/ct/ct_b64.c
@@ -14,7 +14,7 @@
#include <openssl/err.h>
#include <openssl/evp.h>
-#include "ct_locl.h"
+#include "ct_local.h"
/*
* Decodes the base64 string |in| into |out|.
diff --git a/crypto/ct/ct_locl.h b/crypto/ct/ct_local.h
similarity index 100%
rename from crypto/ct/ct_locl.h
rename to crypto/ct/ct_local.h
diff --git a/crypto/ct/ct_oct.c b/crypto/ct/ct_oct.c
index 0dd691c0..d4b6645a 100644
--- a/crypto/ct/ct_oct.c
+++ b/crypto/ct/ct_oct.c
@@ -19,7 +19,7 @@
#include <openssl/ct.h>
#include <openssl/err.h>
-#include "ct_locl.h"
+#include "ct_local.h"
int o2i_SCT_signature(SCT *sct, const unsigned char **in, size_t len)
{
diff --git a/crypto/ct/ct_policy.c b/crypto/ct/ct_policy.c
index 0d7b3463..df66e8a4 100644
--- a/crypto/ct/ct_policy.c
+++ b/crypto/ct/ct_policy.c
@@ -15,7 +15,7 @@
#include <openssl/err.h>
#include <time.h>
-#include "ct_locl.h"
+#include "ct_local.h"
/*
* Number of seconds in the future that an SCT timestamp can be, by default,
diff --git a/crypto/ct/ct_prn.c b/crypto/ct/ct_prn.c
index 376e0452..e6584b57 100644
--- a/crypto/ct/ct_prn.c
+++ b/crypto/ct/ct_prn.c
@@ -14,7 +14,7 @@
#include <openssl/asn1.h>
#include <openssl/bio.h>
-#include "ct_locl.h"
+#include "ct_local.h"
static void SCT_signature_algorithms_print(const SCT *sct, BIO *out)
{
diff --git a/crypto/ct/ct_sct.c b/crypto/ct/ct_sct.c
index 1dc16857..4ff36e2f 100644
--- a/crypto/ct/ct_sct.c
+++ b/crypto/ct/ct_sct.c
@@ -17,7 +17,7 @@
#include <openssl/tls1.h>
#include <openssl/x509.h>
-#include "ct_locl.h"
+#include "ct_local.h"
SCT *SCT_new(void)
{
diff --git a/crypto/ct/ct_sct_ctx.c b/crypto/ct/ct_sct_ctx.c
index 75a5027d..841e7680 100644
--- a/crypto/ct/ct_sct_ctx.c
+++ b/crypto/ct/ct_sct_ctx.c
@@ -18,7 +18,7 @@
#include <openssl/obj_mac.h>
#include <openssl/x509.h>
-#include "ct_locl.h"
+#include "ct_local.h"
SCT_CTX *SCT_CTX_new(void)
{
diff --git a/crypto/ct/ct_vfy.c b/crypto/ct/ct_vfy.c
index cabcf578..74fd34f4 100644
--- a/crypto/ct/ct_vfy.c
+++ b/crypto/ct/ct_vfy.c
@@ -14,7 +14,7 @@
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "ct_locl.h"
+#include "ct_local.h"
typedef enum sct_signature_type_t {
SIGNATURE_TYPE_NOT_SET = -1,
diff --git a/crypto/ct/ct_x509v3.c b/crypto/ct/ct_x509v3.c
index ec186d1f..19c2a852 100644
--- a/crypto/ct/ct_x509v3.c
+++ b/crypto/ct/ct_x509v3.c
@@ -11,7 +11,7 @@
# error "CT is disabled"
#endif
-#include "ct_locl.h"
+#include "ct_local.h"
static char *i2s_poison(const X509V3_EXT_METHOD *method, void *val)
{
diff --git a/crypto/ctype.c b/crypto/ctype.c
index e05f84cd..b7f1183f 100644
--- a/crypto/ctype.c
+++ b/crypto/ctype.c
@@ -9,7 +9,7 @@
#include <string.h>
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "openssl/ebcdic.h"
/*
diff --git a/crypto/des/asm/crypt586.pl b/crypto/des/asm/crypt586.pl
index a02d1806..d14b9f89 100644
--- a/crypto/des/asm/crypt586.pl
+++ b/crypto/des/asm/crypt586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -25,7 +25,7 @@ $R="esi";
&fcrypt_body("fcrypt_body");
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub fcrypt_body
{
diff --git a/crypto/des/asm/des-586.pl b/crypto/des/asm/des-586.pl
index 2bcc54ef..07d9d87a 100644
--- a/crypto/des/asm/des-586.pl
+++ b/crypto/des/asm/des-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -47,7 +47,7 @@ $small_footprint=1 if (grep(/\-DOPENSSL_SMALL_FOOTPRINT/,@ARGV));
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub DES_encrypt_internal()
{
diff --git a/crypto/des/asm/des_enc.m4 b/crypto/des/asm/des_enc.m4
index 4ada97b1..ebb5e7cd 100644
--- a/crypto/des/asm/des_enc.m4
+++ b/crypto/des/asm/des_enc.m4
@@ -106,15 +106,15 @@ changequote({,})
! technique.
!
! The macro also loads address sbox 1 to 5 to global 1 to 5, address
-! sbox 6 to local6, and addres sbox 8 to out3.
+! sbox 6 to local6, and address sbox 8 to out3.
!
-! Rotates the halfs 3 left to bring the sbox bits in convenient positions.
+! Rotates the halves 3 left to bring the sbox bits in convenient positions.
!
! Loads key first round from address in parameter 5 to out0, out1.
!
! After the original LibDES initial permutation, the resulting left
! is in the variable initially used for right and vice versa. The macro
-! implements the possibility to keep the halfs in the original registers.
+! implements the possibility to keep the halves in the original registers.
!
! parameter 1 left
! parameter 2 right
@@ -1184,7 +1184,7 @@ DES_encrypt2:
add %o7,global1,global1
sub global1,.PIC.DES_SPtrans-.des_and,out2
- ! Set sbox address 1 to 6 and rotate halfs 3 left
+ ! Set sbox address 1 to 6 and rotate halves 3 left
! Errors caught by destest? Yes. Still? *NO*
!sethi %hi(DES_SPtrans), global1 ! address sbox 1
diff --git a/crypto/des/asm/dest4-sparcv9.pl b/crypto/des/asm/dest4-sparcv9.pl
index fe1fdc70..5c92a52b 100644
--- a/crypto/des/asm/dest4-sparcv9.pl
+++ b/crypto/des/asm/dest4-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -624,4 +624,4 @@ ___
&emit_assembler();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/des/cbc_cksm.c b/crypto/des/cbc_cksm.c
index 5a1f72f8..c5e2e017 100644
--- a/crypto/des/cbc_cksm.c
+++ b/crypto/des/cbc_cksm.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
DES_LONG DES_cbc_cksum(const unsigned char *in, DES_cblock *output,
long length, DES_key_schedule *schedule,
diff --git a/crypto/des/cfb64ede.c b/crypto/des/cfb64ede.c
index 21943f61..490d925f 100644
--- a/crypto/des/cfb64ede.c
+++ b/crypto/des/cfb64ede.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/des/cfb64enc.c b/crypto/des/cfb64enc.c
index 96de51b0..ca0e8216 100644
--- a/crypto/des/cfb64enc.c
+++ b/crypto/des/cfb64enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/des/cfb_enc.c b/crypto/des/cfb_enc.c
index 544392e4..17018420 100644
--- a/crypto/des/cfb_enc.c
+++ b/crypto/des/cfb_enc.c
@@ -8,7 +8,7 @@
*/
#include "e_os.h"
-#include "des_locl.h"
+#include "des_local.h"
#include <assert.h>
/*
diff --git a/crypto/des/des_enc.c b/crypto/des/des_enc.c
index ed134ace..45eec615 100644
--- a/crypto/des/des_enc.c
+++ b/crypto/des/des_enc.c
@@ -8,7 +8,7 @@
*/
#include <openssl/crypto.h>
-#include "des_locl.h"
+#include "des_local.h"
#include "spr.h"
void DES_encrypt1(DES_LONG *data, DES_key_schedule *ks, int enc)
diff --git a/crypto/des/des_locl.h b/crypto/des/des_local.h
similarity index 99%
rename from crypto/des/des_locl.h
rename to crypto/des/des_local.h
index f401e6f3..0f58a1c9 100644
--- a/crypto/des/des_locl.h
+++ b/crypto/des/des_local.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_DES_LOCL_H
-# define HEADER_DES_LOCL_H
+#ifndef OSSL_CRYPTO_DES_LOCAL_H
+# define OSSL_CRYPTO_DES_LOCAL_H
# include <openssl/e_os2.h>
diff --git a/crypto/des/ecb3_enc.c b/crypto/des/ecb3_enc.c
index 6ac89d4e..7afa8eaa 100644
--- a/crypto/des/ecb3_enc.c
+++ b/crypto/des/ecb3_enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
void DES_ecb3_encrypt(const_DES_cblock *input, DES_cblock *output,
DES_key_schedule *ks1, DES_key_schedule *ks2,
diff --git a/crypto/des/ecb_enc.c b/crypto/des/ecb_enc.c
index 5ed079d1..513c65e1 100644
--- a/crypto/des/ecb_enc.c
+++ b/crypto/des/ecb_enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
#include <openssl/opensslv.h>
#include <openssl/bio.h>
diff --git a/crypto/des/fcrypt.c b/crypto/des/fcrypt.c
index aaee4bf2..e83cf76b 100644
--- a/crypto/des/fcrypt.c
+++ b/crypto/des/fcrypt.c
@@ -19,7 +19,7 @@
#endif
#include <openssl/crypto.h>
-#include "des_locl.h"
+#include "des_local.h"
/*
* Added more values to handle illegal salt values the way normal crypt()
diff --git a/crypto/des/fcrypt_b.c b/crypto/des/fcrypt_b.c
index fe2369a9..22f967b8 100644
--- a/crypto/des/fcrypt_b.c
+++ b/crypto/des/fcrypt_b.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#define DES_FCRYPT
-#include "des_locl.h"
+#include "des_local.h"
#undef DES_FCRYPT
#undef PERM_OP
diff --git a/crypto/des/ncbc_enc.c b/crypto/des/ncbc_enc.c
index 244f15ca..cd4b071a 100644
--- a/crypto/des/ncbc_enc.c
+++ b/crypto/des/ncbc_enc.c
@@ -13,7 +13,7 @@
* des_enc.c (DES_ncbc_encrypt)
*/
-#include "des_locl.h"
+#include "des_local.h"
#ifdef CBC_ENC_C__DONT_UPDATE_IV
void DES_cbc_encrypt(const unsigned char *in, unsigned char *out, long length,
diff --git a/crypto/des/ofb64ede.c b/crypto/des/ofb64ede.c
index a551a07e..68cf2dc5 100644
--- a/crypto/des/ofb64ede.c
+++ b/crypto/des/ofb64ede.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/des/ofb64enc.c b/crypto/des/ofb64enc.c
index 30976c87..5796980c 100644
--- a/crypto/des/ofb64enc.c
+++ b/crypto/des/ofb64enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/des/ofb_enc.c b/crypto/des/ofb_enc.c
index 65a9b860..2b049899 100644
--- a/crypto/des/ofb_enc.c
+++ b/crypto/des/ofb_enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
/*
* The input and output are loaded in multiples of 8 bits. What this means is
diff --git a/crypto/des/pcbc_enc.c b/crypto/des/pcbc_enc.c
index 0fa058f0..34905927 100644
--- a/crypto/des/pcbc_enc.c
+++ b/crypto/des/pcbc_enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
void DES_pcbc_encrypt(const unsigned char *input, unsigned char *output,
long length, DES_key_schedule *schedule,
diff --git a/crypto/des/qud_cksm.c b/crypto/des/qud_cksm.c
index 81e6be82..10b6abf6 100644
--- a/crypto/des/qud_cksm.c
+++ b/crypto/des/qud_cksm.c
@@ -13,7 +13,7 @@
* only based on the code in this paper and is almost definitely not the same
* as the MIT implementation.
*/
-#include "des_locl.h"
+#include "des_local.h"
#define Q_B0(a) (((DES_LONG)(a)))
#define Q_B1(a) (((DES_LONG)(a))<<8)
diff --git a/crypto/des/set_key.c b/crypto/des/set_key.c
index adbad723..cbcb616c 100644
--- a/crypto/des/set_key.c
+++ b/crypto/des/set_key.c
@@ -16,7 +16,7 @@
* 1.0 First working version
*/
#include <openssl/crypto.h>
-#include "des_locl.h"
+#include "des_local.h"
/* defaults to false */
OPENSSL_IMPLEMENT_GLOBAL(int, DES_check_key, 0)
diff --git a/crypto/des/str2key.c b/crypto/des/str2key.c
index e18d7265..61db6051 100644
--- a/crypto/des/str2key.c
+++ b/crypto/des/str2key.c
@@ -8,7 +8,7 @@
*/
#include <openssl/crypto.h>
-#include "des_locl.h"
+#include "des_local.h"
void DES_string_to_key(const char *str, DES_cblock *key)
{
diff --git a/crypto/des/xcbc_enc.c b/crypto/des/xcbc_enc.c
index c4e455d9..fb3fd529 100644
--- a/crypto/des/xcbc_enc.c
+++ b/crypto/des/xcbc_enc.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "des_locl.h"
+#include "des_local.h"
/* RSA's DESX */
diff --git a/crypto/dh/dh_ameth.c b/crypto/dh/dh_ameth.c
index 05a1d422..d5300408 100644
--- a/crypto/dh/dh_ameth.c
+++ b/crypto/dh/dh_ameth.c
@@ -11,10 +11,10 @@
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/asn1.h>
-#include "dh_locl.h"
+#include "dh_local.h"
#include <openssl/bn.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
#include <openssl/cms.h>
/*
@@ -901,6 +901,7 @@ static int dh_cms_encrypt(CMS_RecipientInfo *ri)
err:
OPENSSL_free(penc);
X509_ALGOR_free(wrap_alg);
+ OPENSSL_free(dukm);
return rv;
}
diff --git a/crypto/dh/dh_asn1.c b/crypto/dh/dh_asn1.c
index 1a40633b..e37f0904 100644
--- a/crypto/dh/dh_asn1.c
+++ b/crypto/dh/dh_asn1.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
-#include "dh_locl.h"
+#include "dh_local.h"
#include <openssl/objects.h>
#include <openssl/asn1t.h>
diff --git a/crypto/dh/dh_check.c b/crypto/dh/dh_check.c
index d13d8206..4ac169e7 100644
--- a/crypto/dh/dh_check.c
+++ b/crypto/dh/dh_check.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
-#include "dh_locl.h"
+#include "dh_local.h"
# define DH_NUMBER_ITERATIONS_FOR_PRIME 64
diff --git a/crypto/dh/dh_gen.c b/crypto/dh/dh_gen.c
index d293835e..ab82ab58 100644
--- a/crypto/dh/dh_gen.c
+++ b/crypto/dh/dh_gen.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,7 +15,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
-#include "dh_locl.h"
+#include "dh_local.h"
static int dh_builtin_genparams(DH *ret, int prime_len, int generator,
BN_GENCB *cb);
@@ -54,7 +54,7 @@ int DH_generate_parameters_ex(DH *ret, int prime_len, int generator,
* for 3, p mod 12 == 11
* for 5, p mod 60 == 59
*
- * However for compatibilty with previous versions we use:
+ * However for compatibility with previous versions we use:
* for 2, p mod 24 == 11
* for 5, p mod 60 == 23
*/
diff --git a/crypto/dh/dh_key.c b/crypto/dh/dh_key.c
index 718aa422..117f2fa8 100644
--- a/crypto/dh/dh_key.c
+++ b/crypto/dh/dh_key.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,8 +9,8 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "dh_locl.h"
-#include "internal/bn_int.h"
+#include "dh_local.h"
+#include "crypto/bn.h"
static int generate_key(DH *dh);
static int compute_key(unsigned char *key, const BIGNUM *pub_key, DH *dh);
@@ -25,18 +25,45 @@ int DH_generate_key(DH *dh)
return dh->meth->generate_key(dh);
}
+/*-
+ * NB: This function is inherently not constant time due to the
+ * RFC 5246 (8.1.2) padding style that strips leading zero bytes.
+ */
int DH_compute_key(unsigned char *key, const BIGNUM *pub_key, DH *dh)
{
- return dh->meth->compute_key(key, pub_key, dh);
+ int ret = 0, i;
+ volatile size_t npad = 0, mask = 1;
+
+ /* compute the key; ret is constant unless compute_key is external */
+ if ((ret = dh->meth->compute_key(key, pub_key, dh)) <= 0)
+ return ret;
+
+ /* count leading zero bytes, yet still touch all bytes */
+ for (i = 0; i < ret; i++) {
+ mask &= !key[i];
+ npad += mask;
+ }
+
+ /* unpad key */
+ ret -= npad;
+ /* key-dependent memory access, potentially leaking npad / ret */
+ memmove(key, key + npad, ret);
+ /* key-dependent memory access, potentially leaking npad / ret */
+ memset(key + ret, 0, npad);
+
+ return ret;
}
int DH_compute_key_padded(unsigned char *key, const BIGNUM *pub_key, DH *dh)
{
int rv, pad;
+
+ /* rv is constant unless compute_key is external */
rv = dh->meth->compute_key(key, pub_key, dh);
if (rv <= 0)
return rv;
pad = BN_num_bytes(dh->p) - rv;
+ /* pad is constant (zero) unless compute_key is external */
if (pad > 0) {
memmove(key + pad, key, rv);
memset(key, 0, pad);
@@ -212,7 +239,7 @@ static int compute_key(unsigned char *key, const BIGNUM *pub_key, DH *dh)
goto err;
}
- ret = BN_bn2bin(tmp, key);
+ ret = BN_bn2binpad(tmp, key, BN_num_bytes(dh->p));
err:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
diff --git a/crypto/dh/dh_lib.c b/crypto/dh/dh_lib.c
index e7e7ef08..04b79d35 100644
--- a/crypto/dh/dh_lib.c
+++ b/crypto/dh/dh_lib.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include "internal/refcount.h"
#include <openssl/bn.h>
-#include "dh_locl.h"
+#include "dh_local.h"
#include <openssl/engine.h>
int DH_set_method(DH *dh, const DH_METHOD *meth)
diff --git a/crypto/dh/dh_locl.h b/crypto/dh/dh_local.h
similarity index 100%
rename from crypto/dh/dh_locl.h
rename to crypto/dh/dh_local.h
diff --git a/crypto/dh/dh_meth.c b/crypto/dh/dh_meth.c
index 59c4d7e9..8a54a810 100644
--- a/crypto/dh/dh_meth.c
+++ b/crypto/dh/dh_meth.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "dh_locl.h"
+#include "dh_local.h"
#include <string.h>
#include <openssl/err.h>
diff --git a/crypto/dh/dh_pmeth.c b/crypto/dh/dh_pmeth.c
index 568831f1..1fd94deb 100644
--- a/crypto/dh/dh_pmeth.c
+++ b/crypto/dh/dh_pmeth.c
@@ -12,11 +12,11 @@
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/evp.h>
-#include "dh_locl.h"
+#include "dh_local.h"
#include <openssl/bn.h>
#include <openssl/dsa.h>
#include <openssl/objects.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/* DH pkey context structure */
diff --git a/crypto/dh/dh_rfc5114.c b/crypto/dh/dh_rfc5114.c
index c4a21959..e3603a05 100644
--- a/crypto/dh/dh_rfc5114.c
+++ b/crypto/dh/dh_rfc5114.c
@@ -9,9 +9,9 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "dh_locl.h"
+#include "dh_local.h"
#include <openssl/bn.h>
-#include "internal/bn_dh.h"
+#include "crypto/bn_dh.h"
/*
* Macro to make a DH structure from BIGNUM data. NB: although just copying
diff --git a/crypto/dh/dh_rfc7919.c b/crypto/dh/dh_rfc7919.c
index a54b468e..03d30a1f 100644
--- a/crypto/dh/dh_rfc7919.c
+++ b/crypto/dh/dh_rfc7919.c
@@ -9,10 +9,10 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "dh_locl.h"
+#include "dh_local.h"
#include <openssl/bn.h>
#include <openssl/objects.h>
-#include "internal/bn_dh.h"
+#include "crypto/bn_dh.h"
static DH *dh_param_init(const BIGNUM *p, int32_t nbits)
{
diff --git a/crypto/dllmain.c b/crypto/dllmain.c
index 0838c55e..e8217893 100644
--- a/crypto/dllmain.c
+++ b/crypto/dllmain.c
@@ -8,7 +8,7 @@
*/
#include "e_os.h"
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#if defined(_WIN32) || defined(__CYGWIN__)
# ifdef __CYGWIN__
diff --git a/crypto/dsa/dsa_ameth.c b/crypto/dsa/dsa_ameth.c
index 49aa1ae2..2dcaa081 100644
--- a/crypto/dsa/dsa_ameth.c
+++ b/crypto/dsa/dsa_ameth.c
@@ -11,11 +11,11 @@
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/asn1.h>
-#include "dsa_locl.h"
+#include "dsa_local.h"
#include <openssl/bn.h>
#include <openssl/cms.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
static int dsa_pub_decode(EVP_PKEY *pkey, X509_PUBKEY *pubkey)
{
diff --git a/crypto/dsa/dsa_asn1.c b/crypto/dsa/dsa_asn1.c
index 6499e87e..9cafd5ca 100644
--- a/crypto/dsa/dsa_asn1.c
+++ b/crypto/dsa/dsa_asn1.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "dsa_locl.h"
+#include "dsa_local.h"
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/rand.h>
diff --git a/crypto/dsa/dsa_gen.c b/crypto/dsa/dsa_gen.c
index af59a582..5d066a06 100644
--- a/crypto/dsa/dsa_gen.c
+++ b/crypto/dsa/dsa_gen.c
@@ -21,7 +21,7 @@
#include <openssl/bn.h>
#include <openssl/rand.h>
#include <openssl/sha.h>
-#include "dsa_locl.h"
+#include "dsa_local.h"
int DSA_generate_parameters_ex(DSA *ret, int bits,
const unsigned char *seed_in, int seed_len,
diff --git a/crypto/dsa/dsa_key.c b/crypto/dsa/dsa_key.c
index a48af584..bdeddd4f 100644
--- a/crypto/dsa/dsa_key.c
+++ b/crypto/dsa/dsa_key.c
@@ -11,7 +11,7 @@
#include <time.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
-#include "dsa_locl.h"
+#include "dsa_local.h"
static int dsa_builtin_keygen(DSA *dsa);
diff --git a/crypto/dsa/dsa_lib.c b/crypto/dsa/dsa_lib.c
index 1048601b..f98af585 100644
--- a/crypto/dsa/dsa_lib.c
+++ b/crypto/dsa/dsa_lib.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include "internal/refcount.h"
#include <openssl/bn.h>
-#include "dsa_locl.h"
+#include "dsa_local.h"
#include <openssl/asn1.h>
#include <openssl/engine.h>
#include <openssl/dh.h>
diff --git a/crypto/dsa/dsa_locl.h b/crypto/dsa/dsa_local.h
similarity index 100%
rename from crypto/dsa/dsa_locl.h
rename to crypto/dsa/dsa_local.h
diff --git a/crypto/dsa/dsa_meth.c b/crypto/dsa/dsa_meth.c
index ff4fae44..1e6ee2f4 100644
--- a/crypto/dsa/dsa_meth.c
+++ b/crypto/dsa/dsa_meth.c
@@ -15,7 +15,7 @@
* or in the file LICENSE in the source distribution.
*/
-#include "dsa_locl.h"
+#include "dsa_local.h"
#include <string.h>
#include <openssl/err.h>
diff --git a/crypto/dsa/dsa_ossl.c b/crypto/dsa/dsa_ossl.c
index 16161dca..a983def6 100644
--- a/crypto/dsa/dsa_ossl.c
+++ b/crypto/dsa/dsa_ossl.c
@@ -9,10 +9,10 @@
#include <stdio.h>
#include "internal/cryptlib.h"
-#include "internal/bn_int.h"
+#include "crypto/bn.h"
#include <openssl/bn.h>
#include <openssl/sha.h>
-#include "dsa_locl.h"
+#include "dsa_local.h"
#include <openssl/asn1.h>
static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa);
diff --git a/crypto/dsa/dsa_pmeth.c b/crypto/dsa/dsa_pmeth.c
index 1dd2fef9..4ca3747a 100644
--- a/crypto/dsa/dsa_pmeth.c
+++ b/crypto/dsa/dsa_pmeth.c
@@ -13,8 +13,8 @@
#include <openssl/x509.h>
#include <openssl/evp.h>
#include <openssl/bn.h>
-#include "internal/evp_int.h"
-#include "dsa_locl.h"
+#include "crypto/evp.h"
+#include "dsa_local.h"
/* DSA pkey context structure */
@@ -178,9 +178,7 @@ static int pkey_dsa_ctrl_str(EVP_PKEY_CTX *ctx,
}
if (strcmp(type, "dsa_paramgen_q_bits") == 0) {
int qbits = atoi(value);
- return EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_DSA, EVP_PKEY_OP_PARAMGEN,
- EVP_PKEY_CTRL_DSA_PARAMGEN_Q_BITS, qbits,
- NULL);
+ return EVP_PKEY_CTX_set_dsa_paramgen_q_bits(ctx, qbits);
}
if (strcmp(type, "dsa_paramgen_md") == 0) {
const EVP_MD *md = EVP_get_digestbyname(value);
@@ -189,9 +187,7 @@ static int pkey_dsa_ctrl_str(EVP_PKEY_CTX *ctx,
DSAerr(DSA_F_PKEY_DSA_CTRL_STR, DSA_R_INVALID_DIGEST_TYPE);
return 0;
}
- return EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_DSA, EVP_PKEY_OP_PARAMGEN,
- EVP_PKEY_CTRL_DSA_PARAMGEN_MD, 0,
- (void *)md);
+ return EVP_PKEY_CTX_set_dsa_paramgen_md(ctx, md);
}
return -2;
}
diff --git a/crypto/dsa/dsa_sign.c b/crypto/dsa/dsa_sign.c
index e9466b29..51c7754b 100644
--- a/crypto/dsa/dsa_sign.c
+++ b/crypto/dsa/dsa_sign.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "dsa_locl.h"
+#include "dsa_local.h"
#include <openssl/bn.h>
DSA_SIG *DSA_do_sign(const unsigned char *dgst, int dlen, DSA *dsa)
diff --git a/crypto/dsa/dsa_vrf.c b/crypto/dsa/dsa_vrf.c
index 21f98cd9..6f80a4aa 100644
--- a/crypto/dsa/dsa_vrf.c
+++ b/crypto/dsa/dsa_vrf.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "dsa_locl.h"
+#include "dsa_local.h"
int DSA_do_verify(const unsigned char *dgst, int dgst_len, DSA_SIG *sig,
DSA *dsa)
diff --git a/crypto/dso/dso_dl.c b/crypto/dso/dso_dl.c
index 290d73cf..3bbb10e5 100644
--- a/crypto/dso/dso_dl.c
+++ b/crypto/dso/dso_dl.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "dso_locl.h"
+#include "dso_local.h"
#ifdef DSO_DL
diff --git a/crypto/dso/dso_dlfcn.c b/crypto/dso/dso_dlfcn.c
index ba3b55fc..4719e8f4 100644
--- a/crypto/dso/dso_dlfcn.c
+++ b/crypto/dso/dso_dlfcn.c
@@ -16,7 +16,7 @@
# define _GNU_SOURCE /* make sure dladdr is declared */
#endif
-#include "dso_locl.h"
+#include "dso_local.h"
#include "e_os.h"
#ifdef DSO_DLFCN
diff --git a/crypto/dso/dso_lib.c b/crypto/dso/dso_lib.c
index 2e75021d..50a39bb7 100644
--- a/crypto/dso/dso_lib.c
+++ b/crypto/dso/dso_lib.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "dso_locl.h"
+#include "dso_local.h"
#include "internal/refcount.h"
static DSO_METHOD *default_DSO_meth = NULL;
diff --git a/crypto/dso/dso_locl.h b/crypto/dso/dso_local.h
similarity index 99%
rename from crypto/dso/dso_locl.h
rename to crypto/dso/dso_local.h
index 14a0ccb7..43b7df9d 100644
--- a/crypto/dso/dso_locl.h
+++ b/crypto/dso/dso_local.h
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include "internal/dso.h"
-#include "internal/dso_conf.h"
+#include "crypto/dso_conf.h"
#include "internal/refcount.h"
/**********************************************************************/
diff --git a/crypto/dso/dso_openssl.c b/crypto/dso/dso_openssl.c
index f0dd38ac..c76a04db 100644
--- a/crypto/dso/dso_openssl.c
+++ b/crypto/dso/dso_openssl.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "dso_locl.h"
+#include "dso_local.h"
#ifdef DSO_NONE
diff --git a/crypto/dso/dso_vms.c b/crypto/dso/dso_vms.c
index 178e7257..9d1066f9 100644
--- a/crypto/dso/dso_vms.c
+++ b/crypto/dso/dso_vms.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "dso_locl.h"
+#include "dso_local.h"
#ifdef OPENSSL_SYS_VMS
diff --git a/crypto/dso/dso_win32.c b/crypto/dso/dso_win32.c
index 6631d517..af1e559d 100644
--- a/crypto/dso/dso_win32.c
+++ b/crypto/dso/dso_win32.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include "e_os.h"
-#include "dso_locl.h"
+#include "dso_local.h"
#if defined(DSO_WIN32)
@@ -565,8 +565,8 @@ static int win32_pathbyaddr(void *addr, char *path, int sz)
/* Enumerate the modules to find one which includes me. */
do {
- if ((uintptr_t) addr >= (uintptr_t) me32.modBaseAddr &&
- (uintptr_t) addr < (uintptr_t) (me32.modBaseAddr + me32.modBaseSize)) {
+ if ((size_t) addr >= (size_t) me32.modBaseAddr &&
+ (size_t) addr < (size_t) (me32.modBaseAddr + me32.modBaseSize)) {
(*close_snap) (hModuleSnap);
FreeLibrary(dll);
# ifdef _WIN32_WCE
diff --git a/crypto/ec/asm/ecp_nistz256-armv4.pl b/crypto/ec/asm/ecp_nistz256-armv4.pl
index 83abbdd8..fa833ce6 100755
--- a/crypto/ec/asm/ecp_nistz256-armv4.pl
+++ b/crypto/ec/asm/ecp_nistz256-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1394,7 +1394,7 @@ my ($Z1sqr, $Z2sqr) = ($Hsqr, $Rsqr);
# 256-bit vectors on top. Then note that we push
# starting from r0, which means that we have copy of
# input arguments just below these temporary vectors.
-# We use three of them for !in1infty, !in2intfy and
+# We use three of them for ~in1infty, ~in2infty and
# result of check for zero.
$code.=<<___;
@@ -1424,7 +1424,7 @@ ecp_nistz256_point_add:
#endif
movne r12,#-1
stmia r3,{r4-r11}
- str r12,[sp,#32*18+8] @ !in2infty
+ str r12,[sp,#32*18+8] @ ~in2infty
ldmia $a_ptr!,{r4-r11} @ copy in1_x
add r3,sp,#$in1_x
@@ -1445,7 +1445,7 @@ ecp_nistz256_point_add:
#endif
movne r12,#-1
stmia r3,{r4-r11}
- str r12,[sp,#32*18+4] @ !in1infty
+ str r12,[sp,#32*18+4] @ ~in1infty
add $a_ptr,sp,#$in2_z
add $b_ptr,sp,#$in2_z
@@ -1510,33 +1510,20 @@ ecp_nistz256_point_add:
orr $a0,$a0,$a2
orr $a4,$a4,$a6
orr $a0,$a0,$a7
- orrs $a0,$a0,$a4
+ orr $a0,$a0,$a4 @ ~is_equal(U1,U2)
- bne .Ladd_proceed @ is_equal(U1,U2)?
+ ldr $t0,[sp,#32*18+4] @ ~in1infty
+ ldr $t1,[sp,#32*18+8] @ ~in2infty
+ ldr $t2,[sp,#32*18+12] @ ~is_equal(S1,S2)
+ mvn $t0,$t0 @ -1/0 -> 0/-1
+ mvn $t1,$t1 @ -1/0 -> 0/-1
+ orr $a0,$a0,$t0
+ orr $a0,$a0,$t1
+ orrs $a0,$a0,$t2 @ set flags
- ldr $t0,[sp,#32*18+4]
- ldr $t1,[sp,#32*18+8]
- ldr $t2,[sp,#32*18+12]
- tst $t0,$t1
- beq .Ladd_proceed @ (in1infty || in2infty)?
- tst $t2,$t2
- beq .Ladd_double @ is_equal(S1,S2)?
+ @ if(~is_equal(U1,U2) | in1infty | in2infty | ~is_equal(S1,S2))
+ bne .Ladd_proceed
- ldr $r_ptr,[sp,#32*18+16]
- eor r4,r4,r4
- eor r5,r5,r5
- eor r6,r6,r6
- eor r7,r7,r7
- eor r8,r8,r8
- eor r9,r9,r9
- eor r10,r10,r10
- eor r11,r11,r11
- stmia $r_ptr!,{r4-r11}
- stmia $r_ptr!,{r4-r11}
- stmia $r_ptr!,{r4-r11}
- b .Ladd_done
-
-.align 4
.Ladd_double:
ldr $a_ptr,[sp,#32*18+20]
add sp,sp,#32*(18-5)+16 @ difference in frame sizes
@@ -1601,15 +1588,15 @@ ecp_nistz256_point_add:
add $b_ptr,sp,#$S2
bl __ecp_nistz256_sub_from @ p256_sub(res_y, res_y, S2);
- ldr r11,[sp,#32*18+4] @ !in1intfy
- ldr r12,[sp,#32*18+8] @ !in2intfy
+ ldr r11,[sp,#32*18+4] @ ~in1infty
+ ldr r12,[sp,#32*18+8] @ ~in2infty
add r1,sp,#$res_x
add r2,sp,#$in2_x
- and r10,r11,r12
+ and r10,r11,r12 @ ~in1infty & ~in2infty
mvn r11,r11
add r3,sp,#$in1_x
- and r11,r11,r12
- mvn r12,r12
+ and r11,r11,r12 @ in1infty & ~in2infty
+ mvn r12,r12 @ in2infty
ldr $r_ptr,[sp,#32*18+16]
___
for($i=0;$i<96;$i+=8) { # conditional moves
@@ -1617,11 +1604,11 @@ $code.=<<___;
ldmia r1!,{r4-r5} @ res_x
ldmia r2!,{r6-r7} @ in2_x
ldmia r3!,{r8-r9} @ in1_x
- and r4,r4,r10
+ and r4,r4,r10 @ ~in1infty & ~in2infty
and r5,r5,r10
- and r6,r6,r11
+ and r6,r6,r11 @ in1infty & ~in2infty
and r7,r7,r11
- and r8,r8,r12
+ and r8,r8,r12 @ in2infty
and r9,r9,r12
orr r4,r4,r6
orr r5,r5,r7
@@ -1656,7 +1643,7 @@ my $Z1sqr = $S2;
# 256-bit vectors on top. Then note that we push
# starting from r0, which means that we have copy of
# input arguments just below these temporary vectors.
-# We use two of them for !in1infty, !in2intfy.
+# We use two of them for ~in1infty, ~in2infty.
my @ONE_mont=(1,0,0,-1,-1,-1,-2,0);
@@ -1687,7 +1674,7 @@ ecp_nistz256_point_add_affine:
#endif
movne r12,#-1
stmia r3,{r4-r11}
- str r12,[sp,#32*15+4] @ !in1infty
+ str r12,[sp,#32*15+4] @ ~in1infty
ldmia $b_ptr!,{r4-r11} @ copy in2_x
add r3,sp,#$in2_x
@@ -1714,7 +1701,7 @@ ecp_nistz256_point_add_affine:
it ne
#endif
movne r12,#-1
- str r12,[sp,#32*15+8] @ !in2infty
+ str r12,[sp,#32*15+8] @ ~in2infty
add $a_ptr,sp,#$in1_z
add $b_ptr,sp,#$in1_z
@@ -1796,15 +1783,15 @@ ecp_nistz256_point_add_affine:
add $b_ptr,sp,#$S2
bl __ecp_nistz256_sub_from @ p256_sub(res_y, res_y, S2);
- ldr r11,[sp,#32*15+4] @ !in1intfy
- ldr r12,[sp,#32*15+8] @ !in2intfy
+ ldr r11,[sp,#32*15+4] @ ~in1infty
+ ldr r12,[sp,#32*15+8] @ ~in2infty
add r1,sp,#$res_x
add r2,sp,#$in2_x
- and r10,r11,r12
+ and r10,r11,r12 @ ~in1infty & ~in2infty
mvn r11,r11
add r3,sp,#$in1_x
- and r11,r11,r12
- mvn r12,r12
+ and r11,r11,r12 @ in1infty & ~in2infty
+ mvn r12,r12 @ in2infty
ldr $r_ptr,[sp,#32*15]
___
for($i=0;$i<64;$i+=8) { # conditional moves
@@ -1812,11 +1799,11 @@ $code.=<<___;
ldmia r1!,{r4-r5} @ res_x
ldmia r2!,{r6-r7} @ in2_x
ldmia r3!,{r8-r9} @ in1_x
- and r4,r4,r10
+ and r4,r4,r10 @ ~in1infty & ~in2infty
and r5,r5,r10
- and r6,r6,r11
+ and r6,r6,r11 @ in1infty & ~in2infty
and r7,r7,r11
- and r8,r8,r12
+ and r8,r8,r12 @ in2infty
and r9,r9,r12
orr r4,r4,r6
orr r5,r5,r7
@@ -1862,4 +1849,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/ec/asm/ecp_nistz256-armv8.pl b/crypto/ec/asm/ecp_nistz256-armv8.pl
index 887ddfb1..e93e18f2 100644
--- a/crypto/ec/asm/ecp_nistz256-armv8.pl
+++ b/crypto/ec/asm/ecp_nistz256-armv8.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -722,7 +722,7 @@ $code.=<<___;
.align 5
ecp_nistz256_point_double:
.inst 0xd503233f // paciasp
- stp x29,x30,[sp,#-80]!
+ stp x29,x30,[sp,#-96]!
add x29,sp,#0
stp x19,x20,[sp,#16]
stp x21,x22,[sp,#32]
@@ -855,7 +855,7 @@ ecp_nistz256_point_double:
add sp,x29,#0 // destroy frame
ldp x19,x20,[x29,#16]
ldp x21,x22,[x29,#32]
- ldp x29,x30,[sp],#80
+ ldp x29,x30,[sp],#96
.inst 0xd50323bf // autiasp
ret
.size ecp_nistz256_point_double,.-ecp_nistz256_point_double
@@ -872,7 +872,7 @@ my ($res_x,$res_y,$res_z,
my ($Z1sqr, $Z2sqr) = ($Hsqr, $Rsqr);
# above map() describes stack layout with 12 temporary
# 256-bit vectors on top.
-my ($rp_real,$ap_real,$bp_real,$in1infty,$in2infty,$temp)=map("x$_",(21..26));
+my ($rp_real,$ap_real,$bp_real,$in1infty,$in2infty,$temp0,$temp1,$temp2)=map("x$_",(21..28));
$code.=<<___;
.globl ecp_nistz256_point_add
@@ -880,12 +880,13 @@ $code.=<<___;
.align 5
ecp_nistz256_point_add:
.inst 0xd503233f // paciasp
- stp x29,x30,[sp,#-80]!
+ stp x29,x30,[sp,#-96]!
add x29,sp,#0
stp x19,x20,[sp,#16]
stp x21,x22,[sp,#32]
stp x23,x24,[sp,#48]
stp x25,x26,[sp,#64]
+ stp x27,x28,[sp,#80]
sub sp,sp,#32*12
ldp $a0,$a1,[$bp,#64] // in2_z
@@ -899,7 +900,7 @@ ecp_nistz256_point_add:
orr $t2,$a2,$a3
orr $in2infty,$t0,$t2
cmp $in2infty,#0
- csetm $in2infty,ne // !in2infty
+ csetm $in2infty,ne // ~in2infty
add $rp,sp,#$Z2sqr
bl __ecp_nistz256_sqr_mont // p256_sqr_mont(Z2sqr, in2_z);
@@ -909,7 +910,7 @@ ecp_nistz256_point_add:
orr $t2,$a2,$a3
orr $in1infty,$t0,$t2
cmp $in1infty,#0
- csetm $in1infty,ne // !in1infty
+ csetm $in1infty,ne // ~in1infty
add $rp,sp,#$Z1sqr
bl __ecp_nistz256_sqr_mont // p256_sqr_mont(Z1sqr, in1_z);
@@ -950,7 +951,7 @@ ecp_nistz256_point_add:
orr $acc0,$acc0,$acc1 // see if result is zero
orr $acc2,$acc2,$acc3
- orr $temp,$acc0,$acc2
+ orr $temp0,$acc0,$acc2 // ~is_equal(S1,S2)
add $bp,sp,#$Z2sqr
add $rp,sp,#$U1
@@ -971,32 +972,21 @@ ecp_nistz256_point_add:
orr $acc0,$acc0,$acc1 // see if result is zero
orr $acc2,$acc2,$acc3
- orr $acc0,$acc0,$acc2
- tst $acc0,$acc0
- b.ne .Ladd_proceed // is_equal(U1,U2)?
+ orr $acc0,$acc0,$acc2 // ~is_equal(U1,U2)
- tst $in1infty,$in2infty
- b.eq .Ladd_proceed // (in1infty || in2infty)?
+ mvn $temp1,$in1infty // -1/0 -> 0/-1
+ mvn $temp2,$in2infty // -1/0 -> 0/-1
+ orr $acc0,$acc0,$temp1
+ orr $acc0,$acc0,$temp2
+ orr $acc0,$acc0,$temp0
+ cbnz $acc0,.Ladd_proceed // if(~is_equal(U1,U2) | in1infty | in2infty | ~is_equal(S1,S2))
- tst $temp,$temp
- b.eq .Ladd_double // is_equal(S1,S2)?
-
- eor $a0,$a0,$a0
- eor $a1,$a1,$a1
- stp $a0,$a1,[$rp_real]
- stp $a0,$a1,[$rp_real,#16]
- stp $a0,$a1,[$rp_real,#32]
- stp $a0,$a1,[$rp_real,#48]
- stp $a0,$a1,[$rp_real,#64]
- stp $a0,$a1,[$rp_real,#80]
- b .Ladd_done
-
-.align 4
.Ladd_double:
mov $ap,$ap_real
mov $rp,$rp_real
ldp x23,x24,[x29,#48]
ldp x25,x26,[x29,#64]
+ ldp x27,x28,[x29,#80]
add sp,sp,#32*(12-4) // difference in stack frames
b .Ldouble_shortcut
@@ -1081,14 +1071,14 @@ ___
for($i=0;$i<64;$i+=32) { # conditional moves
$code.=<<___;
ldp $acc0,$acc1,[$ap_real,#$i] // in1
- cmp $in1infty,#0 // !$in1intfy, remember?
+ cmp $in1infty,#0 // ~$in1intfy, remember?
ldp $acc2,$acc3,[$ap_real,#$i+16]
csel $t0,$a0,$t0,ne
csel $t1,$a1,$t1,ne
ldp $a0,$a1,[sp,#$res_x+$i+32] // res
csel $t2,$a2,$t2,ne
csel $t3,$a3,$t3,ne
- cmp $in2infty,#0 // !$in2intfy, remember?
+ cmp $in2infty,#0 // ~$in2intfy, remember?
ldp $a2,$a3,[sp,#$res_x+$i+48]
csel $acc0,$t0,$acc0,ne
csel $acc1,$t1,$acc1,ne
@@ -1102,13 +1092,13 @@ ___
}
$code.=<<___;
ldp $acc0,$acc1,[$ap_real,#$i] // in1
- cmp $in1infty,#0 // !$in1intfy, remember?
+ cmp $in1infty,#0 // ~$in1intfy, remember?
ldp $acc2,$acc3,[$ap_real,#$i+16]
csel $t0,$a0,$t0,ne
csel $t1,$a1,$t1,ne
csel $t2,$a2,$t2,ne
csel $t3,$a3,$t3,ne
- cmp $in2infty,#0 // !$in2intfy, remember?
+ cmp $in2infty,#0 // ~$in2intfy, remember?
csel $acc0,$t0,$acc0,ne
csel $acc1,$t1,$acc1,ne
csel $acc2,$t2,$acc2,ne
@@ -1122,7 +1112,8 @@ $code.=<<___;
ldp x21,x22,[x29,#32]
ldp x23,x24,[x29,#48]
ldp x25,x26,[x29,#64]
- ldp x29,x30,[sp],#80
+ ldp x27,x28,[x29,#80]
+ ldp x29,x30,[sp],#96
.inst 0xd50323bf // autiasp
ret
.size ecp_nistz256_point_add,.-ecp_nistz256_point_add
@@ -1166,7 +1157,7 @@ ecp_nistz256_point_add_affine:
orr $t2,$a2,$a3
orr $in1infty,$t0,$t2
cmp $in1infty,#0
- csetm $in1infty,ne // !in1infty
+ csetm $in1infty,ne // ~in1infty
ldp $acc0,$acc1,[$bp] // in2_x
ldp $acc2,$acc3,[$bp,#16]
@@ -1180,7 +1171,7 @@ ecp_nistz256_point_add_affine:
orr $t0,$t0,$t2
orr $in2infty,$acc0,$t0
cmp $in2infty,#0
- csetm $in2infty,ne // !in2infty
+ csetm $in2infty,ne // ~in2infty
add $rp,sp,#$Z1sqr
bl __ecp_nistz256_sqr_mont // p256_sqr_mont(Z1sqr, in1_z);
@@ -1290,14 +1281,14 @@ ___
for($i=0;$i<64;$i+=32) { # conditional moves
$code.=<<___;
ldp $acc0,$acc1,[$ap_real,#$i] // in1
- cmp $in1infty,#0 // !$in1intfy, remember?
+ cmp $in1infty,#0 // ~$in1intfy, remember?
ldp $acc2,$acc3,[$ap_real,#$i+16]
csel $t0,$a0,$t0,ne
csel $t1,$a1,$t1,ne
ldp $a0,$a1,[sp,#$res_x+$i+32] // res
csel $t2,$a2,$t2,ne
csel $t3,$a3,$t3,ne
- cmp $in2infty,#0 // !$in2intfy, remember?
+ cmp $in2infty,#0 // ~$in2intfy, remember?
ldp $a2,$a3,[sp,#$res_x+$i+48]
csel $acc0,$t0,$acc0,ne
csel $acc1,$t1,$acc1,ne
@@ -1314,13 +1305,13 @@ ___
}
$code.=<<___;
ldp $acc0,$acc1,[$ap_real,#$i] // in1
- cmp $in1infty,#0 // !$in1intfy, remember?
+ cmp $in1infty,#0 // ~$in1intfy, remember?
ldp $acc2,$acc3,[$ap_real,#$i+16]
csel $t0,$a0,$t0,ne
csel $t1,$a1,$t1,ne
csel $t2,$a2,$t2,ne
csel $t3,$a3,$t3,ne
- cmp $in2infty,#0 // !$in2intfy, remember?
+ cmp $in2infty,#0 // ~$in2intfy, remember?
csel $acc0,$t0,$acc0,ne
csel $acc1,$t1,$acc1,ne
csel $acc2,$t2,$acc2,ne
@@ -1880,4 +1871,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/ec/asm/ecp_nistz256-avx2.pl b/crypto/ec/asm/ecp_nistz256-avx2.pl
deleted file mode 100755
index 794e56a0..00000000
--- a/crypto/ec/asm/ecp_nistz256-avx2.pl
+++ /dev/null
@@ -1,2080 +0,0 @@
-#! /usr/bin/env perl
-# Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
-# Copyright (c) 2014, Intel Corporation. All Rights Reserved.
-#
-# Licensed under the OpenSSL license (the "License"). You may not use
-# this file except in compliance with the License. You can obtain a copy
-# in the file LICENSE in the source distribution or at
-# https://www.openssl.org/source/license.html
-#
-# Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)
-# (1) Intel Corporation, Israel Development Center, Haifa, Israel
-# (2) University of Haifa, Israel
-#
-# Reference:
-# S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with
-# 256 Bit Primes"
-
-$flavour = shift;
-$output = shift;
-if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
-
-$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
-
-$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
-( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
-( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
-die "can't locate x86_64-xlate.pl";
-
-open OUT,"| \"$^X\" $xlate $flavour $output";
-*STDOUT=*OUT;
-
-if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
- =~ /GNU assembler version ([2-9]\.[0-9]+)/) {
- $avx = ($1>=2.19) + ($1>=2.22);
- $addx = ($1>=2.23);
-}
-
-if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
- `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
- $avx = ($1>=2.09) + ($1>=2.10);
- $addx = ($1>=2.10);
-}
-
-if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
- `ml64 2>&1` =~ /Version ([0-9]+)\./) {
- $avx = ($1>=10) + ($1>=11);
- $addx = ($1>=12);
-}
-
-if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|based on LLVM) ([3-9])\.([0-9]+)/) {
- my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
- $avx = ($ver>=3.0) + ($ver>=3.01);
- $addx = ($ver>=3.03);
-}
-
-if ($avx>=2) {{
-$digit_size = "\$29";
-$n_digits = "\$9";
-
-$code.=<<___;
-.text
-
-.align 64
-.LAVX2_AND_MASK:
-.LAVX2_POLY:
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x000001ff, 0x000001ff, 0x000001ff, 0x000001ff
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x00040000, 0x00040000, 0x00040000, 0x00040000
-.quad 0x1fe00000, 0x1fe00000, 0x1fe00000, 0x1fe00000
-.quad 0x00ffffff, 0x00ffffff, 0x00ffffff, 0x00ffffff
-
-.LAVX2_POLY_x2:
-.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC
-.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC
-.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC
-.quad 0x400007FC, 0x400007FC, 0x400007FC, 0x400007FC
-.quad 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE
-.quad 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE
-.quad 0x400FFFFE, 0x400FFFFE, 0x400FFFFE, 0x400FFFFE
-.quad 0x7F7FFFFE, 0x7F7FFFFE, 0x7F7FFFFE, 0x7F7FFFFE
-.quad 0x03FFFFFC, 0x03FFFFFC, 0x03FFFFFC, 0x03FFFFFC
-
-.LAVX2_POLY_x8:
-.quad 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8
-.quad 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8
-.quad 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8
-.quad 0x80000FF8, 0x80000FF8, 0x80000FF8, 0x80000FF8
-.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC
-.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC
-.quad 0x801FFFFC, 0x801FFFFC, 0x801FFFFC, 0x801FFFFC
-.quad 0xFEFFFFFC, 0xFEFFFFFC, 0xFEFFFFFC, 0xFEFFFFFC
-.quad 0x07FFFFF8, 0x07FFFFF8, 0x07FFFFF8, 0x07FFFFF8
-
-.LONE:
-.quad 0x00000020, 0x00000020, 0x00000020, 0x00000020
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x1fffc000, 0x1fffc000, 0x1fffc000, 0x1fffc000
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1f7fffff, 0x1f7fffff, 0x1f7fffff, 0x1f7fffff
-.quad 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-
-# RR = 2^266 mod p in AVX2 format, to transform from the native OpenSSL
-# Montgomery form (*2^256) to our format (*2^261)
-
-.LTO_MONT_AVX2:
-.quad 0x00000400, 0x00000400, 0x00000400, 0x00000400
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x1ff80000, 0x1ff80000, 0x1ff80000, 0x1ff80000
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x0fffffff, 0x0fffffff, 0x0fffffff, 0x0fffffff
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x00000003, 0x00000003, 0x00000003, 0x00000003
-
-.LFROM_MONT_AVX2:
-.quad 0x00000001, 0x00000001, 0x00000001, 0x00000001
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-.quad 0x1ffffe00, 0x1ffffe00, 0x1ffffe00, 0x1ffffe00
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff
-.quad 0x1ffbffff, 0x1ffbffff, 0x1ffbffff, 0x1ffbffff
-.quad 0x001fffff, 0x001fffff, 0x001fffff, 0x001fffff
-.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000
-
-.LIntOne:
-.long 1,1,1,1,1,1,1,1
-___
-
-{
-# This function receives a pointer to an array of four affine points
-# (X, Y, <1>) and rearranges the data for AVX2 execution, while
-# converting it to 2^29 radix redundant form
-
-my ($X0,$X1,$X2,$X3, $Y0,$Y1,$Y2,$Y3,
- $T0,$T1,$T2,$T3, $T4,$T5,$T6,$T7)=map("%ymm$_",(0..15));
-
-$code.=<<___;
-.globl ecp_nistz256_avx2_transpose_convert
-.type ecp_nistz256_avx2_transpose_convert,\@function,2
-.align 64
-ecp_nistz256_avx2_transpose_convert:
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -8-16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- # Load the data
- vmovdqa 32*0(%rsi), $X0
- lea 112(%rsi), %rax # size optimization
- vmovdqa 32*1(%rsi), $Y0
- lea .LAVX2_AND_MASK(%rip), %rdx
- vmovdqa 32*2(%rsi), $X1
- vmovdqa 32*3(%rsi), $Y1
- vmovdqa 32*4-112(%rax), $X2
- vmovdqa 32*5-112(%rax), $Y2
- vmovdqa 32*6-112(%rax), $X3
- vmovdqa 32*7-112(%rax), $Y3
-
- # Transpose X and Y independently
- vpunpcklqdq $X1, $X0, $T0 # T0 = [B2 A2 B0 A0]
- vpunpcklqdq $X3, $X2, $T1 # T1 = [D2 C2 D0 C0]
- vpunpckhqdq $X1, $X0, $T2 # T2 = [B3 A3 B1 A1]
- vpunpckhqdq $X3, $X2, $T3 # T3 = [D3 C3 D1 C1]
-
- vpunpcklqdq $Y1, $Y0, $T4
- vpunpcklqdq $Y3, $Y2, $T5
- vpunpckhqdq $Y1, $Y0, $T6
- vpunpckhqdq $Y3, $Y2, $T7
-
- vperm2i128 \$0x20, $T1, $T0, $X0 # X0 = [D0 C0 B0 A0]
- vperm2i128 \$0x20, $T3, $T2, $X1 # X1 = [D1 C1 B1 A1]
- vperm2i128 \$0x31, $T1, $T0, $X2 # X2 = [D2 C2 B2 A2]
- vperm2i128 \$0x31, $T3, $T2, $X3 # X3 = [D3 C3 B3 A3]
-
- vperm2i128 \$0x20, $T5, $T4, $Y0
- vperm2i128 \$0x20, $T7, $T6, $Y1
- vperm2i128 \$0x31, $T5, $T4, $Y2
- vperm2i128 \$0x31, $T7, $T6, $Y3
- vmovdqa (%rdx), $T7
-
- vpand (%rdx), $X0, $T0 # out[0] = in[0] & mask;
- vpsrlq \$29, $X0, $X0
- vpand $T7, $X0, $T1 # out[1] = (in[0] >> shift) & mask;
- vpsrlq \$29, $X0, $X0
- vpsllq \$6, $X1, $T2
- vpxor $X0, $T2, $T2
- vpand $T7, $T2, $T2 # out[2] = ((in[0] >> (shift*2)) ^ (in[1] << (64-shift*2))) & mask;
- vpsrlq \$23, $X1, $X1
- vpand $T7, $X1, $T3 # out[3] = (in[1] >> ((shift*3)%64)) & mask;
- vpsrlq \$29, $X1, $X1
- vpsllq \$12, $X2, $T4
- vpxor $X1, $T4, $T4
- vpand $T7, $T4, $T4 # out[4] = ((in[1] >> ((shift*4)%64)) ^ (in[2] << (64*2-shift*4))) & mask;
- vpsrlq \$17, $X2, $X2
- vpand $T7, $X2, $T5 # out[5] = (in[2] >> ((shift*5)%64)) & mask;
- vpsrlq \$29, $X2, $X2
- vpsllq \$18, $X3, $T6
- vpxor $X2, $T6, $T6
- vpand $T7, $T6, $T6 # out[6] = ((in[2] >> ((shift*6)%64)) ^ (in[3] << (64*3-shift*6))) & mask;
- vpsrlq \$11, $X3, $X3
- vmovdqa $T0, 32*0(%rdi)
- lea 112(%rdi), %rax # size optimization
- vpand $T7, $X3, $T0 # out[7] = (in[3] >> ((shift*7)%64)) & mask;
- vpsrlq \$29, $X3, $X3 # out[8] = (in[3] >> ((shift*8)%64)) & mask;
-
- vmovdqa $T1, 32*1(%rdi)
- vmovdqa $T2, 32*2(%rdi)
- vmovdqa $T3, 32*3(%rdi)
- vmovdqa $T4, 32*4-112(%rax)
- vmovdqa $T5, 32*5-112(%rax)
- vmovdqa $T6, 32*6-112(%rax)
- vmovdqa $T0, 32*7-112(%rax)
- vmovdqa $X3, 32*8-112(%rax)
- lea 448(%rdi), %rax # size optimization
-
- vpand $T7, $Y0, $T0 # out[0] = in[0] & mask;
- vpsrlq \$29, $Y0, $Y0
- vpand $T7, $Y0, $T1 # out[1] = (in[0] >> shift) & mask;
- vpsrlq \$29, $Y0, $Y0
- vpsllq \$6, $Y1, $T2
- vpxor $Y0, $T2, $T2
- vpand $T7, $T2, $T2 # out[2] = ((in[0] >> (shift*2)) ^ (in[1] << (64-shift*2))) & mask;
- vpsrlq \$23, $Y1, $Y1
- vpand $T7, $Y1, $T3 # out[3] = (in[1] >> ((shift*3)%64)) & mask;
- vpsrlq \$29, $Y1, $Y1
- vpsllq \$12, $Y2, $T4
- vpxor $Y1, $T4, $T4
- vpand $T7, $T4, $T4 # out[4] = ((in[1] >> ((shift*4)%64)) ^ (in[2] << (64*2-shift*4))) & mask;
- vpsrlq \$17, $Y2, $Y2
- vpand $T7, $Y2, $T5 # out[5] = (in[2] >> ((shift*5)%64)) & mask;
- vpsrlq \$29, $Y2, $Y2
- vpsllq \$18, $Y3, $T6
- vpxor $Y2, $T6, $T6
- vpand $T7, $T6, $T6 # out[6] = ((in[2] >> ((shift*6)%64)) ^ (in[3] << (64*3-shift*6))) & mask;
- vpsrlq \$11, $Y3, $Y3
- vmovdqa $T0, 32*9-448(%rax)
- vpand $T7, $Y3, $T0 # out[7] = (in[3] >> ((shift*7)%64)) & mask;
- vpsrlq \$29, $Y3, $Y3 # out[8] = (in[3] >> ((shift*8)%64)) & mask;
-
- vmovdqa $T1, 32*10-448(%rax)
- vmovdqa $T2, 32*11-448(%rax)
- vmovdqa $T3, 32*12-448(%rax)
- vmovdqa $T4, 32*13-448(%rax)
- vmovdqa $T5, 32*14-448(%rax)
- vmovdqa $T6, 32*15-448(%rax)
- vmovdqa $T0, 32*16-448(%rax)
- vmovdqa $Y3, 32*17-448(%rax)
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps 16*0(%rsp), %xmm6
- movaps 16*1(%rsp), %xmm7
- movaps 16*2(%rsp), %xmm8
- movaps 16*3(%rsp), %xmm9
- movaps 16*4(%rsp), %xmm10
- movaps 16*5(%rsp), %xmm11
- movaps 16*6(%rsp), %xmm12
- movaps 16*7(%rsp), %xmm13
- movaps 16*8(%rsp), %xmm14
- movaps 16*9(%rsp), %xmm15
- lea 8+16*10(%rsp), %rsp
-___
-$code.=<<___;
- ret
-.size ecp_nistz256_avx2_transpose_convert,.-ecp_nistz256_avx2_transpose_convert
-___
-}
-{
-################################################################################
-# This function receives a pointer to an array of four AVX2 formatted points
-# (X, Y, Z) convert the data to normal representation, and rearranges the data
-
-my ($D0,$D1,$D2,$D3, $D4,$D5,$D6,$D7, $D8)=map("%ymm$_",(0..8));
-my ($T0,$T1,$T2,$T3, $T4,$T5,$T6)=map("%ymm$_",(9..15));
-
-$code.=<<___;
-
-.globl ecp_nistz256_avx2_convert_transpose_back
-.type ecp_nistz256_avx2_convert_transpose_back,\@function,2
-.align 32
-ecp_nistz256_avx2_convert_transpose_back:
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -8-16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- mov \$3, %ecx
-
-.Lconv_loop:
- vmovdqa 32*0(%rsi), $D0
- lea 160(%rsi), %rax # size optimization
- vmovdqa 32*1(%rsi), $D1
- vmovdqa 32*2(%rsi), $D2
- vmovdqa 32*3(%rsi), $D3
- vmovdqa 32*4-160(%rax), $D4
- vmovdqa 32*5-160(%rax), $D5
- vmovdqa 32*6-160(%rax), $D6
- vmovdqa 32*7-160(%rax), $D7
- vmovdqa 32*8-160(%rax), $D8
-
- vpsllq \$29, $D1, $D1
- vpsllq \$58, $D2, $T0
- vpaddq $D1, $D0, $D0
- vpaddq $T0, $D0, $D0 # out[0] = (in[0]) ^ (in[1] << shift*1) ^ (in[2] << shift*2);
-
- vpsrlq \$6, $D2, $D2
- vpsllq \$23, $D3, $D3
- vpsllq \$52, $D4, $T1
- vpaddq $D2, $D3, $D3
- vpaddq $D3, $T1, $D1 # out[1] = (in[2] >> (64*1-shift*2)) ^ (in[3] << shift*3%64) ^ (in[4] << shift*4%64);
-
- vpsrlq \$12, $D4, $D4
- vpsllq \$17, $D5, $D5
- vpsllq \$46, $D6, $T2
- vpaddq $D4, $D5, $D5
- vpaddq $D5, $T2, $D2 # out[2] = (in[4] >> (64*2-shift*4)) ^ (in[5] << shift*5%64) ^ (in[6] << shift*6%64);
-
- vpsrlq \$18, $D6, $D6
- vpsllq \$11, $D7, $D7
- vpsllq \$40, $D8, $T3
- vpaddq $D6, $D7, $D7
- vpaddq $D7, $T3, $D3 # out[3] = (in[6] >> (64*3-shift*6)) ^ (in[7] << shift*7%64) ^ (in[8] << shift*8%64);
-
- vpunpcklqdq $D1, $D0, $T0 # T0 = [B2 A2 B0 A0]
- vpunpcklqdq $D3, $D2, $T1 # T1 = [D2 C2 D0 C0]
- vpunpckhqdq $D1, $D0, $T2 # T2 = [B3 A3 B1 A1]
- vpunpckhqdq $D3, $D2, $T3 # T3 = [D3 C3 D1 C1]
-
- vperm2i128 \$0x20, $T1, $T0, $D0 # X0 = [D0 C0 B0 A0]
- vperm2i128 \$0x20, $T3, $T2, $D1 # X1 = [D1 C1 B1 A1]
- vperm2i128 \$0x31, $T1, $T0, $D2 # X2 = [D2 C2 B2 A2]
- vperm2i128 \$0x31, $T3, $T2, $D3 # X3 = [D3 C3 B3 A3]
-
- vmovdqa $D0, 32*0(%rdi)
- vmovdqa $D1, 32*3(%rdi)
- vmovdqa $D2, 32*6(%rdi)
- vmovdqa $D3, 32*9(%rdi)
-
- lea 32*9(%rsi), %rsi
- lea 32*1(%rdi), %rdi
-
- dec %ecx
- jnz .Lconv_loop
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps 16*0(%rsp), %xmm6
- movaps 16*1(%rsp), %xmm7
- movaps 16*2(%rsp), %xmm8
- movaps 16*3(%rsp), %xmm9
- movaps 16*4(%rsp), %xmm10
- movaps 16*5(%rsp), %xmm11
- movaps 16*6(%rsp), %xmm12
- movaps 16*7(%rsp), %xmm13
- movaps 16*8(%rsp), %xmm14
- movaps 16*9(%rsp), %xmm15
- lea 8+16*10(%rsp), %rsp
-___
-$code.=<<___;
- ret
-.size ecp_nistz256_avx2_convert_transpose_back,.-ecp_nistz256_avx2_convert_transpose_back
-___
-}
-{
-my ($r_ptr,$a_ptr,$b_ptr,$itr)=("%rdi","%rsi","%rdx","%ecx");
-my ($ACC0,$ACC1,$ACC2,$ACC3,$ACC4,$ACC5,$ACC6,$ACC7,$ACC8)=map("%ymm$_",(0..8));
-my ($B,$Y,$T0,$AND_MASK,$OVERFLOW)=map("%ymm$_",(9..13));
-
-sub NORMALIZE {
-my $ret=<<___;
- vpsrlq $digit_size, $ACC0, $T0
- vpand $AND_MASK, $ACC0, $ACC0
- vpaddq $T0, $ACC1, $ACC1
-
- vpsrlq $digit_size, $ACC1, $T0
- vpand $AND_MASK, $ACC1, $ACC1
- vpaddq $T0, $ACC2, $ACC2
-
- vpsrlq $digit_size, $ACC2, $T0
- vpand $AND_MASK, $ACC2, $ACC2
- vpaddq $T0, $ACC3, $ACC3
-
- vpsrlq $digit_size, $ACC3, $T0
- vpand $AND_MASK, $ACC3, $ACC3
- vpaddq $T0, $ACC4, $ACC4
-
- vpsrlq $digit_size, $ACC4, $T0
- vpand $AND_MASK, $ACC4, $ACC4
- vpaddq $T0, $ACC5, $ACC5
-
- vpsrlq $digit_size, $ACC5, $T0
- vpand $AND_MASK, $ACC5, $ACC5
- vpaddq $T0, $ACC6, $ACC6
-
- vpsrlq $digit_size, $ACC6, $T0
- vpand $AND_MASK, $ACC6, $ACC6
- vpaddq $T0, $ACC7, $ACC7
-
- vpsrlq $digit_size, $ACC7, $T0
- vpand $AND_MASK, $ACC7, $ACC7
- vpaddq $T0, $ACC8, $ACC8
- #vpand $AND_MASK, $ACC8, $ACC8
-___
- $ret;
-}
-
-sub STORE {
-my $ret=<<___;
- vmovdqa $ACC0, 32*0(%rdi)
- lea 160(%rdi), %rax # size optimization
- vmovdqa $ACC1, 32*1(%rdi)
- vmovdqa $ACC2, 32*2(%rdi)
- vmovdqa $ACC3, 32*3(%rdi)
- vmovdqa $ACC4, 32*4-160(%rax)
- vmovdqa $ACC5, 32*5-160(%rax)
- vmovdqa $ACC6, 32*6-160(%rax)
- vmovdqa $ACC7, 32*7-160(%rax)
- vmovdqa $ACC8, 32*8-160(%rax)
-___
- $ret;
-}
-
-$code.=<<___;
-.type avx2_normalize,\@abi-omnipotent
-.align 32
-avx2_normalize:
- vpsrlq $digit_size, $ACC0, $T0
- vpand $AND_MASK, $ACC0, $ACC0
- vpaddq $T0, $ACC1, $ACC1
-
- vpsrlq $digit_size, $ACC1, $T0
- vpand $AND_MASK, $ACC1, $ACC1
- vpaddq $T0, $ACC2, $ACC2
-
- vpsrlq $digit_size, $ACC2, $T0
- vpand $AND_MASK, $ACC2, $ACC2
- vpaddq $T0, $ACC3, $ACC3
-
- vpsrlq $digit_size, $ACC3, $T0
- vpand $AND_MASK, $ACC3, $ACC3
- vpaddq $T0, $ACC4, $ACC4
-
- vpsrlq $digit_size, $ACC4, $T0
- vpand $AND_MASK, $ACC4, $ACC4
- vpaddq $T0, $ACC5, $ACC5
-
- vpsrlq $digit_size, $ACC5, $T0
- vpand $AND_MASK, $ACC5, $ACC5
- vpaddq $T0, $ACC6, $ACC6
-
- vpsrlq $digit_size, $ACC6, $T0
- vpand $AND_MASK, $ACC6, $ACC6
- vpaddq $T0, $ACC7, $ACC7
-
- vpsrlq $digit_size, $ACC7, $T0
- vpand $AND_MASK, $ACC7, $ACC7
- vpaddq $T0, $ACC8, $ACC8
- #vpand $AND_MASK, $ACC8, $ACC8
-
- ret
-.size avx2_normalize,.-avx2_normalize
-
-.type avx2_normalize_n_store,\@abi-omnipotent
-.align 32
-avx2_normalize_n_store:
- vpsrlq $digit_size, $ACC0, $T0
- vpand $AND_MASK, $ACC0, $ACC0
- vpaddq $T0, $ACC1, $ACC1
-
- vpsrlq $digit_size, $ACC1, $T0
- vpand $AND_MASK, $ACC1, $ACC1
- vmovdqa $ACC0, 32*0(%rdi)
- lea 160(%rdi), %rax # size optimization
- vpaddq $T0, $ACC2, $ACC2
-
- vpsrlq $digit_size, $ACC2, $T0
- vpand $AND_MASK, $ACC2, $ACC2
- vmovdqa $ACC1, 32*1(%rdi)
- vpaddq $T0, $ACC3, $ACC3
-
- vpsrlq $digit_size, $ACC3, $T0
- vpand $AND_MASK, $ACC3, $ACC3
- vmovdqa $ACC2, 32*2(%rdi)
- vpaddq $T0, $ACC4, $ACC4
-
- vpsrlq $digit_size, $ACC4, $T0
- vpand $AND_MASK, $ACC4, $ACC4
- vmovdqa $ACC3, 32*3(%rdi)
- vpaddq $T0, $ACC5, $ACC5
-
- vpsrlq $digit_size, $ACC5, $T0
- vpand $AND_MASK, $ACC5, $ACC5
- vmovdqa $ACC4, 32*4-160(%rax)
- vpaddq $T0, $ACC6, $ACC6
-
- vpsrlq $digit_size, $ACC6, $T0
- vpand $AND_MASK, $ACC6, $ACC6
- vmovdqa $ACC5, 32*5-160(%rax)
- vpaddq $T0, $ACC7, $ACC7
-
- vpsrlq $digit_size, $ACC7, $T0
- vpand $AND_MASK, $ACC7, $ACC7
- vmovdqa $ACC6, 32*6-160(%rax)
- vpaddq $T0, $ACC8, $ACC8
- #vpand $AND_MASK, $ACC8, $ACC8
- vmovdqa $ACC7, 32*7-160(%rax)
- vmovdqa $ACC8, 32*8-160(%rax)
-
- ret
-.size avx2_normalize_n_store,.-avx2_normalize_n_store
-
-################################################################################
-# void avx2_mul_x4(void* RESULTx4, void *Ax4, void *Bx4);
-.type avx2_mul_x4,\@abi-omnipotent
-.align 32
-avx2_mul_x4:
- lea .LAVX2_POLY(%rip), %rax
-
- vpxor $ACC0, $ACC0, $ACC0
- vpxor $ACC1, $ACC1, $ACC1
- vpxor $ACC2, $ACC2, $ACC2
- vpxor $ACC3, $ACC3, $ACC3
- vpxor $ACC4, $ACC4, $ACC4
- vpxor $ACC5, $ACC5, $ACC5
- vpxor $ACC6, $ACC6, $ACC6
- vpxor $ACC7, $ACC7, $ACC7
-
- vmovdqa 32*7(%rax), %ymm14
- vmovdqa 32*8(%rax), %ymm15
-
- mov $n_digits, $itr
- lea -512($a_ptr), $a_ptr # strategic bias to control u-op density
- jmp .Lavx2_mul_x4_loop
-
-.align 32
-.Lavx2_mul_x4_loop:
- vmovdqa 32*0($b_ptr), $B
- lea 32*1($b_ptr), $b_ptr
-
- vpmuludq 32*0+512($a_ptr), $B, $T0
- vpmuludq 32*1+512($a_ptr), $B, $OVERFLOW # borrow $OVERFLOW
- vpaddq $T0, $ACC0, $ACC0
- vpmuludq 32*2+512($a_ptr), $B, $T0
- vpaddq $OVERFLOW, $ACC1, $ACC1
- vpand $AND_MASK, $ACC0, $Y
- vpmuludq 32*3+512($a_ptr), $B, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC2
- vpmuludq 32*4+512($a_ptr), $B, $T0
- vpaddq $OVERFLOW, $ACC3, $ACC3
- vpmuludq 32*5+512($a_ptr), $B, $OVERFLOW
- vpaddq $T0, $ACC4, $ACC4
- vpmuludq 32*6+512($a_ptr), $B, $T0
- vpaddq $OVERFLOW, $ACC5, $ACC5
- vpmuludq 32*7+512($a_ptr), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- # Skip some multiplications, optimizing for the constant poly
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*8+512($a_ptr), $B, $ACC8
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- .byte 0x67
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $OVERFLOW
- .byte 0x67
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $T0
- vpaddq $OVERFLOW, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $OVERFLOW
- vpaddq $T0, $ACC7, $ACC6
- vpaddq $OVERFLOW, $ACC8, $ACC7
-
- dec $itr
- jnz .Lavx2_mul_x4_loop
-
- vpxor $ACC8, $ACC8, $ACC8
-
- ret
-.size avx2_mul_x4,.-avx2_mul_x4
-
-# Function optimized for the constant 1
-################################################################################
-# void avx2_mul_by1_x4(void* RESULTx4, void *Ax4);
-.type avx2_mul_by1_x4,\@abi-omnipotent
-.align 32
-avx2_mul_by1_x4:
- lea .LAVX2_POLY(%rip), %rax
-
- vpxor $ACC0, $ACC0, $ACC0
- vpxor $ACC1, $ACC1, $ACC1
- vpxor $ACC2, $ACC2, $ACC2
- vpxor $ACC3, $ACC3, $ACC3
- vpxor $ACC4, $ACC4, $ACC4
- vpxor $ACC5, $ACC5, $ACC5
- vpxor $ACC6, $ACC6, $ACC6
- vpxor $ACC7, $ACC7, $ACC7
- vpxor $ACC8, $ACC8, $ACC8
-
- vmovdqa 32*3+.LONE(%rip), %ymm14
- vmovdqa 32*7+.LONE(%rip), %ymm15
-
- mov $n_digits, $itr
- jmp .Lavx2_mul_by1_x4_loop
-
-.align 32
-.Lavx2_mul_by1_x4_loop:
- vmovdqa 32*0($a_ptr), $B
- .byte 0x48,0x8d,0xb6,0x20,0,0,0 # lea 32*1($a_ptr), $a_ptr
-
- vpsllq \$5, $B, $OVERFLOW
- vpmuludq %ymm14, $B, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC3
- .byte 0x67
- vpmuludq $AND_MASK, $B, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $T0, $ACC4, $ACC4
- vpaddq $T0, $ACC5, $ACC5
- vpaddq $T0, $ACC6, $ACC6
- vpsllq \$23, $B, $T0
-
- .byte 0x67,0x67
- vpmuludq %ymm15, $B, $OVERFLOW
- vpsubq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- .byte 0x67,0x67
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $OVERFLOW
- vmovdqa $ACC5, $ACC4
- vpmuludq 32*7(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC6, $ACC5
- vpaddq $T0, $ACC7, $ACC6
- vpmuludq 32*8(%rax), $Y, $ACC7
-
- dec $itr
- jnz .Lavx2_mul_by1_x4_loop
-
- ret
-.size avx2_mul_by1_x4,.-avx2_mul_by1_x4
-
-################################################################################
-# void avx2_sqr_x4(void* RESULTx4, void *Ax4, void *Bx4);
-.type avx2_sqr_x4,\@abi-omnipotent
-.align 32
-avx2_sqr_x4:
- lea .LAVX2_POLY(%rip), %rax
-
- vmovdqa 32*7(%rax), %ymm14
- vmovdqa 32*8(%rax), %ymm15
-
- vmovdqa 32*0($a_ptr), $B
- vmovdqa 32*1($a_ptr), $ACC1
- vmovdqa 32*2($a_ptr), $ACC2
- vmovdqa 32*3($a_ptr), $ACC3
- vmovdqa 32*4($a_ptr), $ACC4
- vmovdqa 32*5($a_ptr), $ACC5
- vmovdqa 32*6($a_ptr), $ACC6
- vmovdqa 32*7($a_ptr), $ACC7
- vpaddq $ACC1, $ACC1, $ACC1 # 2*$ACC0..7
- vmovdqa 32*8($a_ptr), $ACC8
- vpaddq $ACC2, $ACC2, $ACC2
- vmovdqa $ACC1, 32*0(%rcx)
- vpaddq $ACC3, $ACC3, $ACC3
- vmovdqa $ACC2, 32*1(%rcx)
- vpaddq $ACC4, $ACC4, $ACC4
- vmovdqa $ACC3, 32*2(%rcx)
- vpaddq $ACC5, $ACC5, $ACC5
- vmovdqa $ACC4, 32*3(%rcx)
- vpaddq $ACC6, $ACC6, $ACC6
- vmovdqa $ACC5, 32*4(%rcx)
- vpaddq $ACC7, $ACC7, $ACC7
- vmovdqa $ACC6, 32*5(%rcx)
- vpaddq $ACC8, $ACC8, $ACC8
- vmovdqa $ACC7, 32*6(%rcx)
- vmovdqa $ACC8, 32*7(%rcx)
-
- #itr 1
- vpmuludq $B, $B, $ACC0
- vpmuludq $B, $ACC1, $ACC1
- vpand $AND_MASK, $ACC0, $Y
- vpmuludq $B, $ACC2, $ACC2
- vpmuludq $B, $ACC3, $ACC3
- vpmuludq $B, $ACC4, $ACC4
- vpmuludq $B, $ACC5, $ACC5
- vpmuludq $B, $ACC6, $ACC6
- vpmuludq $AND_MASK, $Y, $T0
- vpmuludq $B, $ACC7, $ACC7
- vpmuludq $B, $ACC8, $ACC8
- vmovdqa 32*1($a_ptr), $B
-
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 2
- vpmuludq $B, $B, $OVERFLOW
- vpand $AND_MASK, $ACC0, $Y
- vpmuludq 32*1(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC1, $ACC1
- vpmuludq 32*2(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC2
- vpmuludq 32*3(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC3, $ACC3
- vpmuludq 32*4(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC4, $ACC4
- vpmuludq 32*5(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC5, $ACC5
- vpmuludq 32*6(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*2($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 3
- vpmuludq $B, $B, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpmuludq 32*2(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC2
- vpmuludq 32*3(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC3, $ACC3
- vpmuludq 32*4(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC4, $ACC4
- vpmuludq 32*5(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC5, $ACC5
- vpmuludq 32*6(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*3($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 4
- vpmuludq $B, $B, $OVERFLOW
- vpmuludq 32*3(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC3, $ACC3
- vpmuludq 32*4(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC4, $ACC4
- vpmuludq 32*5(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC5, $ACC5
- vpmuludq 32*6(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*4($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 5
- vpmuludq $B, $B, $T0
- vpmuludq 32*4(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC4, $ACC4
- vpmuludq 32*5(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC5, $ACC5
- vpmuludq 32*6(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*5($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3+.LAVX2_POLY(%rip), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 6
- vpmuludq $B, $B, $OVERFLOW
- vpmuludq 32*5(%rcx), $B, $T0
- vpaddq $OVERFLOW, $ACC5, $ACC5
- vpmuludq 32*6(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*6($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 7
- vpmuludq $B, $B, $T0
- vpmuludq 32*6(%rcx), $B, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC6
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*7($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 8
- vpmuludq $B, $B, $OVERFLOW
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC7
- vpmuludq 32*7(%rcx), $B, $ACC8
- vmovdqa 32*8($a_ptr), $B
- vpaddq $T0, $ACC0, $OVERFLOW
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpand $AND_MASK, $ACC0, $Y
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- #itr 9
- vpmuludq $B, $B, $ACC8
-
- vpmuludq $AND_MASK, $Y, $T0
- vpaddq $T0, $ACC0, $OVERFLOW
- vpsrlq $digit_size, $OVERFLOW, $OVERFLOW
- vpaddq $T0, $ACC1, $ACC0
- vpaddq $T0, $ACC2, $ACC1
- vpmuludq 32*3(%rax), $Y, $T0
- vpaddq $OVERFLOW, $ACC0, $ACC0
- vpaddq $T0, $ACC3, $ACC2
- vmovdqa $ACC4, $ACC3
- vpsllq \$18, $Y, $T0
- vmovdqa $ACC5, $ACC4
- vpmuludq %ymm14, $Y, $OVERFLOW
- vpaddq $T0, $ACC6, $ACC5
- vpmuludq %ymm15, $Y, $T0
- vpaddq $OVERFLOW, $ACC7, $ACC6
- vpaddq $T0, $ACC8, $ACC7
-
- vpxor $ACC8, $ACC8, $ACC8
-
- ret
-.size avx2_sqr_x4,.-avx2_sqr_x4
-
-################################################################################
-# void avx2_sub_x4(void* RESULTx4, void *Ax4, void *Bx4);
-.type avx2_sub_x4,\@abi-omnipotent
-.align 32
-avx2_sub_x4:
- vmovdqa 32*0($a_ptr), $ACC0
- lea 160($a_ptr), $a_ptr
- lea .LAVX2_POLY_x8+128(%rip), %rax
- lea 128($b_ptr), $b_ptr
- vmovdqa 32*1-160($a_ptr), $ACC1
- vmovdqa 32*2-160($a_ptr), $ACC2
- vmovdqa 32*3-160($a_ptr), $ACC3
- vmovdqa 32*4-160($a_ptr), $ACC4
- vmovdqa 32*5-160($a_ptr), $ACC5
- vmovdqa 32*6-160($a_ptr), $ACC6
- vmovdqa 32*7-160($a_ptr), $ACC7
- vmovdqa 32*8-160($a_ptr), $ACC8
-
- vpaddq 32*0-128(%rax), $ACC0, $ACC0
- vpaddq 32*1-128(%rax), $ACC1, $ACC1
- vpaddq 32*2-128(%rax), $ACC2, $ACC2
- vpaddq 32*3-128(%rax), $ACC3, $ACC3
- vpaddq 32*4-128(%rax), $ACC4, $ACC4
- vpaddq 32*5-128(%rax), $ACC5, $ACC5
- vpaddq 32*6-128(%rax), $ACC6, $ACC6
- vpaddq 32*7-128(%rax), $ACC7, $ACC7
- vpaddq 32*8-128(%rax), $ACC8, $ACC8
-
- vpsubq 32*0-128($b_ptr), $ACC0, $ACC0
- vpsubq 32*1-128($b_ptr), $ACC1, $ACC1
- vpsubq 32*2-128($b_ptr), $ACC2, $ACC2
- vpsubq 32*3-128($b_ptr), $ACC3, $ACC3
- vpsubq 32*4-128($b_ptr), $ACC4, $ACC4
- vpsubq 32*5-128($b_ptr), $ACC5, $ACC5
- vpsubq 32*6-128($b_ptr), $ACC6, $ACC6
- vpsubq 32*7-128($b_ptr), $ACC7, $ACC7
- vpsubq 32*8-128($b_ptr), $ACC8, $ACC8
-
- ret
-.size avx2_sub_x4,.-avx2_sub_x4
-
-.type avx2_select_n_store,\@abi-omnipotent
-.align 32
-avx2_select_n_store:
- vmovdqa `8+32*9*8`(%rsp), $Y
- vpor `8+32*9*8+32`(%rsp), $Y, $Y
-
- vpandn $ACC0, $Y, $ACC0
- vpandn $ACC1, $Y, $ACC1
- vpandn $ACC2, $Y, $ACC2
- vpandn $ACC3, $Y, $ACC3
- vpandn $ACC4, $Y, $ACC4
- vpandn $ACC5, $Y, $ACC5
- vpandn $ACC6, $Y, $ACC6
- vmovdqa `8+32*9*8+32`(%rsp), $B
- vpandn $ACC7, $Y, $ACC7
- vpandn `8+32*9*8`(%rsp), $B, $B
- vpandn $ACC8, $Y, $ACC8
-
- vpand 32*0(%rsi), $B, $T0
- lea 160(%rsi), %rax
- vpand 32*1(%rsi), $B, $Y
- vpxor $T0, $ACC0, $ACC0
- vpand 32*2(%rsi), $B, $T0
- vpxor $Y, $ACC1, $ACC1
- vpand 32*3(%rsi), $B, $Y
- vpxor $T0, $ACC2, $ACC2
- vpand 32*4-160(%rax), $B, $T0
- vpxor $Y, $ACC3, $ACC3
- vpand 32*5-160(%rax), $B, $Y
- vpxor $T0, $ACC4, $ACC4
- vpand 32*6-160(%rax), $B, $T0
- vpxor $Y, $ACC5, $ACC5
- vpand 32*7-160(%rax), $B, $Y
- vpxor $T0, $ACC6, $ACC6
- vpand 32*8-160(%rax), $B, $T0
- vmovdqa `8+32*9*8+32`(%rsp), $B
- vpxor $Y, $ACC7, $ACC7
-
- vpand 32*0(%rdx), $B, $Y
- lea 160(%rdx), %rax
- vpxor $T0, $ACC8, $ACC8
- vpand 32*1(%rdx), $B, $T0
- vpxor $Y, $ACC0, $ACC0
- vpand 32*2(%rdx), $B, $Y
- vpxor $T0, $ACC1, $ACC1
- vpand 32*3(%rdx), $B, $T0
- vpxor $Y, $ACC2, $ACC2
- vpand 32*4-160(%rax), $B, $Y
- vpxor $T0, $ACC3, $ACC3
- vpand 32*5-160(%rax), $B, $T0
- vpxor $Y, $ACC4, $ACC4
- vpand 32*6-160(%rax), $B, $Y
- vpxor $T0, $ACC5, $ACC5
- vpand 32*7-160(%rax), $B, $T0
- vpxor $Y, $ACC6, $ACC6
- vpand 32*8-160(%rax), $B, $Y
- vpxor $T0, $ACC7, $ACC7
- vpxor $Y, $ACC8, $ACC8
- `&STORE`
-
- ret
-.size avx2_select_n_store,.-avx2_select_n_store
-___
-$code.=<<___ if (0); # inlined
-################################################################################
-# void avx2_mul_by2_x4(void* RESULTx4, void *Ax4);
-.type avx2_mul_by2_x4,\@abi-omnipotent
-.align 32
-avx2_mul_by2_x4:
- vmovdqa 32*0($a_ptr), $ACC0
- lea 160($a_ptr), %rax
- vmovdqa 32*1($a_ptr), $ACC1
- vmovdqa 32*2($a_ptr), $ACC2
- vmovdqa 32*3($a_ptr), $ACC3
- vmovdqa 32*4-160(%rax), $ACC4
- vmovdqa 32*5-160(%rax), $ACC5
- vmovdqa 32*6-160(%rax), $ACC6
- vmovdqa 32*7-160(%rax), $ACC7
- vmovdqa 32*8-160(%rax), $ACC8
-
- vpaddq $ACC0, $ACC0, $ACC0
- vpaddq $ACC1, $ACC1, $ACC1
- vpaddq $ACC2, $ACC2, $ACC2
- vpaddq $ACC3, $ACC3, $ACC3
- vpaddq $ACC4, $ACC4, $ACC4
- vpaddq $ACC5, $ACC5, $ACC5
- vpaddq $ACC6, $ACC6, $ACC6
- vpaddq $ACC7, $ACC7, $ACC7
- vpaddq $ACC8, $ACC8, $ACC8
-
- ret
-.size avx2_mul_by2_x4,.-avx2_mul_by2_x4
-___
-my ($r_ptr_in,$a_ptr_in,$b_ptr_in)=("%rdi","%rsi","%rdx");
-my ($r_ptr,$a_ptr,$b_ptr)=("%r8","%r9","%r10");
-
-$code.=<<___;
-################################################################################
-# void ecp_nistz256_avx2_point_add_affine_x4(void* RESULTx4, void *Ax4, void *Bx4);
-.globl ecp_nistz256_avx2_point_add_affine_x4
-.type ecp_nistz256_avx2_point_add_affine_x4,\@function,3
-.align 32
-ecp_nistz256_avx2_point_add_affine_x4:
- mov %rsp, %rax
- push %rbp
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- lea -8(%rax), %rbp
-
-# Result + 32*0 = Result.X
-# Result + 32*9 = Result.Y
-# Result + 32*18 = Result.Z
-
-# A + 32*0 = A.X
-# A + 32*9 = A.Y
-# A + 32*18 = A.Z
-
-# B + 32*0 = B.X
-# B + 32*9 = B.Y
-
- sub \$`32*9*8+32*2+32*8`, %rsp
- and \$-64, %rsp
-
- mov $r_ptr_in, $r_ptr
- mov $a_ptr_in, $a_ptr
- mov $b_ptr_in, $b_ptr
-
- vmovdqa 32*0($a_ptr_in), %ymm0
- vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK
- vpxor %ymm1, %ymm1, %ymm1
- lea 256($a_ptr_in), %rax # size optimization
- vpor 32*1($a_ptr_in), %ymm0, %ymm0
- vpor 32*2($a_ptr_in), %ymm0, %ymm0
- vpor 32*3($a_ptr_in), %ymm0, %ymm0
- vpor 32*4-256(%rax), %ymm0, %ymm0
- lea 256(%rax), %rcx # size optimization
- vpor 32*5-256(%rax), %ymm0, %ymm0
- vpor 32*6-256(%rax), %ymm0, %ymm0
- vpor 32*7-256(%rax), %ymm0, %ymm0
- vpor 32*8-256(%rax), %ymm0, %ymm0
- vpor 32*9-256(%rax), %ymm0, %ymm0
- vpor 32*10-256(%rax), %ymm0, %ymm0
- vpor 32*11-256(%rax), %ymm0, %ymm0
- vpor 32*12-512(%rcx), %ymm0, %ymm0
- vpor 32*13-512(%rcx), %ymm0, %ymm0
- vpor 32*14-512(%rcx), %ymm0, %ymm0
- vpor 32*15-512(%rcx), %ymm0, %ymm0
- vpor 32*16-512(%rcx), %ymm0, %ymm0
- vpor 32*17-512(%rcx), %ymm0, %ymm0
- vpcmpeqq %ymm1, %ymm0, %ymm0
- vmovdqa %ymm0, `32*9*8`(%rsp)
-
- vpxor %ymm1, %ymm1, %ymm1
- vmovdqa 32*0($b_ptr), %ymm0
- lea 256($b_ptr), %rax # size optimization
- vpor 32*1($b_ptr), %ymm0, %ymm0
- vpor 32*2($b_ptr), %ymm0, %ymm0
- vpor 32*3($b_ptr), %ymm0, %ymm0
- vpor 32*4-256(%rax), %ymm0, %ymm0
- lea 256(%rax), %rcx # size optimization
- vpor 32*5-256(%rax), %ymm0, %ymm0
- vpor 32*6-256(%rax), %ymm0, %ymm0
- vpor 32*7-256(%rax), %ymm0, %ymm0
- vpor 32*8-256(%rax), %ymm0, %ymm0
- vpor 32*9-256(%rax), %ymm0, %ymm0
- vpor 32*10-256(%rax), %ymm0, %ymm0
- vpor 32*11-256(%rax), %ymm0, %ymm0
- vpor 32*12-512(%rcx), %ymm0, %ymm0
- vpor 32*13-512(%rcx), %ymm0, %ymm0
- vpor 32*14-512(%rcx), %ymm0, %ymm0
- vpor 32*15-512(%rcx), %ymm0, %ymm0
- vpor 32*16-512(%rcx), %ymm0, %ymm0
- vpor 32*17-512(%rcx), %ymm0, %ymm0
- vpcmpeqq %ymm1, %ymm0, %ymm0
- vmovdqa %ymm0, `32*9*8+32`(%rsp)
-
- # Z1^2 = Z1*Z1
- lea `32*9*2`($a_ptr), %rsi
- lea `32*9*2`(%rsp), %rdi
- lea `32*9*8+32*2`(%rsp), %rcx # temporary vector
- call avx2_sqr_x4
- call avx2_normalize_n_store
-
- # U2 = X2*Z1^2
- lea `32*9*0`($b_ptr), %rsi
- lea `32*9*2`(%rsp), %rdx
- lea `32*9*0`(%rsp), %rdi
- call avx2_mul_x4
- #call avx2_normalize
- `&STORE`
-
- # S2 = Z1*Z1^2 = Z1^3
- lea `32*9*2`($a_ptr), %rsi
- lea `32*9*2`(%rsp), %rdx
- lea `32*9*1`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- # S2 = S2*Y2 = Y2*Z1^3
- lea `32*9*1`($b_ptr), %rsi
- lea `32*9*1`(%rsp), %rdx
- lea `32*9*1`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- # H = U2 - U1 = U2 - X1
- lea `32*9*0`(%rsp), %rsi
- lea `32*9*0`($a_ptr), %rdx
- lea `32*9*3`(%rsp), %rdi
- call avx2_sub_x4
- call avx2_normalize_n_store
-
- # R = S2 - S1 = S2 - Y1
- lea `32*9*1`(%rsp), %rsi
- lea `32*9*1`($a_ptr), %rdx
- lea `32*9*4`(%rsp), %rdi
- call avx2_sub_x4
- call avx2_normalize_n_store
-
- # Z3 = H*Z1*Z2
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*2`($a_ptr), %rdx
- lea `32*9*2`($r_ptr), %rdi
- call avx2_mul_x4
- call avx2_normalize
-
- lea .LONE(%rip), %rsi
- lea `32*9*2`($a_ptr), %rdx
- call avx2_select_n_store
-
- # R^2 = R^2
- lea `32*9*4`(%rsp), %rsi
- lea `32*9*6`(%rsp), %rdi
- lea `32*9*8+32*2`(%rsp), %rcx # temporary vector
- call avx2_sqr_x4
- call avx2_normalize_n_store
-
- # H^2 = H^2
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*5`(%rsp), %rdi
- call avx2_sqr_x4
- call avx2_normalize_n_store
-
- # H^3 = H^2*H
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*5`(%rsp), %rdx
- lea `32*9*7`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- # U2 = U1*H^2
- lea `32*9*0`($a_ptr), %rsi
- lea `32*9*5`(%rsp), %rdx
- lea `32*9*0`(%rsp), %rdi
- call avx2_mul_x4
- #call avx2_normalize
- `&STORE`
-
- # Hsqr = U2*2
- #lea 32*9*0(%rsp), %rsi
- #lea 32*9*5(%rsp), %rdi
- #call avx2_mul_by2_x4
-
- vpaddq $ACC0, $ACC0, $ACC0 # inlined avx2_mul_by2_x4
- lea `32*9*5`(%rsp), %rdi
- vpaddq $ACC1, $ACC1, $ACC1
- vpaddq $ACC2, $ACC2, $ACC2
- vpaddq $ACC3, $ACC3, $ACC3
- vpaddq $ACC4, $ACC4, $ACC4
- vpaddq $ACC5, $ACC5, $ACC5
- vpaddq $ACC6, $ACC6, $ACC6
- vpaddq $ACC7, $ACC7, $ACC7
- vpaddq $ACC8, $ACC8, $ACC8
- call avx2_normalize_n_store
-
- # X3 = R^2 - H^3
- #lea 32*9*6(%rsp), %rsi
- #lea 32*9*7(%rsp), %rdx
- #lea 32*9*5(%rsp), %rcx
- #lea 32*9*0($r_ptr), %rdi
- #call avx2_sub_x4
- #NORMALIZE
- #STORE
-
- # X3 = X3 - U2*2
- #lea 32*9*0($r_ptr), %rsi
- #lea 32*9*0($r_ptr), %rdi
- #call avx2_sub_x4
- #NORMALIZE
- #STORE
-
- lea `32*9*6+128`(%rsp), %rsi
- lea .LAVX2_POLY_x2+128(%rip), %rax
- lea `32*9*7+128`(%rsp), %rdx
- lea `32*9*5+128`(%rsp), %rcx
- lea `32*9*0`($r_ptr), %rdi
-
- vmovdqa 32*0-128(%rsi), $ACC0
- vmovdqa 32*1-128(%rsi), $ACC1
- vmovdqa 32*2-128(%rsi), $ACC2
- vmovdqa 32*3-128(%rsi), $ACC3
- vmovdqa 32*4-128(%rsi), $ACC4
- vmovdqa 32*5-128(%rsi), $ACC5
- vmovdqa 32*6-128(%rsi), $ACC6
- vmovdqa 32*7-128(%rsi), $ACC7
- vmovdqa 32*8-128(%rsi), $ACC8
-
- vpaddq 32*0-128(%rax), $ACC0, $ACC0
- vpaddq 32*1-128(%rax), $ACC1, $ACC1
- vpaddq 32*2-128(%rax), $ACC2, $ACC2
- vpaddq 32*3-128(%rax), $ACC3, $ACC3
- vpaddq 32*4-128(%rax), $ACC4, $ACC4
- vpaddq 32*5-128(%rax), $ACC5, $ACC5
- vpaddq 32*6-128(%rax), $ACC6, $ACC6
- vpaddq 32*7-128(%rax), $ACC7, $ACC7
- vpaddq 32*8-128(%rax), $ACC8, $ACC8
-
- vpsubq 32*0-128(%rdx), $ACC0, $ACC0
- vpsubq 32*1-128(%rdx), $ACC1, $ACC1
- vpsubq 32*2-128(%rdx), $ACC2, $ACC2
- vpsubq 32*3-128(%rdx), $ACC3, $ACC3
- vpsubq 32*4-128(%rdx), $ACC4, $ACC4
- vpsubq 32*5-128(%rdx), $ACC5, $ACC5
- vpsubq 32*6-128(%rdx), $ACC6, $ACC6
- vpsubq 32*7-128(%rdx), $ACC7, $ACC7
- vpsubq 32*8-128(%rdx), $ACC8, $ACC8
-
- vpsubq 32*0-128(%rcx), $ACC0, $ACC0
- vpsubq 32*1-128(%rcx), $ACC1, $ACC1
- vpsubq 32*2-128(%rcx), $ACC2, $ACC2
- vpsubq 32*3-128(%rcx), $ACC3, $ACC3
- vpsubq 32*4-128(%rcx), $ACC4, $ACC4
- vpsubq 32*5-128(%rcx), $ACC5, $ACC5
- vpsubq 32*6-128(%rcx), $ACC6, $ACC6
- vpsubq 32*7-128(%rcx), $ACC7, $ACC7
- vpsubq 32*8-128(%rcx), $ACC8, $ACC8
- call avx2_normalize
-
- lea 32*0($b_ptr), %rsi
- lea 32*0($a_ptr), %rdx
- call avx2_select_n_store
-
- # H = U2 - X3
- lea `32*9*0`(%rsp), %rsi
- lea `32*9*0`($r_ptr), %rdx
- lea `32*9*3`(%rsp), %rdi
- call avx2_sub_x4
- call avx2_normalize_n_store
-
- #
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*4`(%rsp), %rdx
- lea `32*9*3`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- #
- lea `32*9*7`(%rsp), %rsi
- lea `32*9*1`($a_ptr), %rdx
- lea `32*9*1`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- #
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*1`(%rsp), %rdx
- lea `32*9*1`($r_ptr), %rdi
- call avx2_sub_x4
- call avx2_normalize
-
- lea 32*9($b_ptr), %rsi
- lea 32*9($a_ptr), %rdx
- call avx2_select_n_store
-
- #lea 32*9*0($r_ptr), %rsi
- #lea 32*9*0($r_ptr), %rdi
- #call avx2_mul_by1_x4
- #NORMALIZE
- #STORE
-
- lea `32*9*1`($r_ptr), %rsi
- lea `32*9*1`($r_ptr), %rdi
- call avx2_mul_by1_x4
- call avx2_normalize_n_store
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps %xmm6, -16*10(%rbp)
- movaps %xmm7, -16*9(%rbp)
- movaps %xmm8, -16*8(%rbp)
- movaps %xmm9, -16*7(%rbp)
- movaps %xmm10, -16*6(%rbp)
- movaps %xmm11, -16*5(%rbp)
- movaps %xmm12, -16*4(%rbp)
- movaps %xmm13, -16*3(%rbp)
- movaps %xmm14, -16*2(%rbp)
- movaps %xmm15, -16*1(%rbp)
-___
-$code.=<<___;
- mov %rbp, %rsp
- pop %rbp
- ret
-.size ecp_nistz256_avx2_point_add_affine_x4,.-ecp_nistz256_avx2_point_add_affine_x4
-
-################################################################################
-# void ecp_nistz256_avx2_point_add_affines_x4(void* RESULTx4, void *Ax4, void *Bx4);
-.globl ecp_nistz256_avx2_point_add_affines_x4
-.type ecp_nistz256_avx2_point_add_affines_x4,\@function,3
-.align 32
-ecp_nistz256_avx2_point_add_affines_x4:
- mov %rsp, %rax
- push %rbp
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- lea -8(%rax), %rbp
-
-# Result + 32*0 = Result.X
-# Result + 32*9 = Result.Y
-# Result + 32*18 = Result.Z
-
-# A + 32*0 = A.X
-# A + 32*9 = A.Y
-
-# B + 32*0 = B.X
-# B + 32*9 = B.Y
-
- sub \$`32*9*8+32*2+32*8`, %rsp
- and \$-64, %rsp
-
- mov $r_ptr_in, $r_ptr
- mov $a_ptr_in, $a_ptr
- mov $b_ptr_in, $b_ptr
-
- vmovdqa 32*0($a_ptr_in), %ymm0
- vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK
- vpxor %ymm1, %ymm1, %ymm1
- lea 256($a_ptr_in), %rax # size optimization
- vpor 32*1($a_ptr_in), %ymm0, %ymm0
- vpor 32*2($a_ptr_in), %ymm0, %ymm0
- vpor 32*3($a_ptr_in), %ymm0, %ymm0
- vpor 32*4-256(%rax), %ymm0, %ymm0
- lea 256(%rax), %rcx # size optimization
- vpor 32*5-256(%rax), %ymm0, %ymm0
- vpor 32*6-256(%rax), %ymm0, %ymm0
- vpor 32*7-256(%rax), %ymm0, %ymm0
- vpor 32*8-256(%rax), %ymm0, %ymm0
- vpor 32*9-256(%rax), %ymm0, %ymm0
- vpor 32*10-256(%rax), %ymm0, %ymm0
- vpor 32*11-256(%rax), %ymm0, %ymm0
- vpor 32*12-512(%rcx), %ymm0, %ymm0
- vpor 32*13-512(%rcx), %ymm0, %ymm0
- vpor 32*14-512(%rcx), %ymm0, %ymm0
- vpor 32*15-512(%rcx), %ymm0, %ymm0
- vpor 32*16-512(%rcx), %ymm0, %ymm0
- vpor 32*17-512(%rcx), %ymm0, %ymm0
- vpcmpeqq %ymm1, %ymm0, %ymm0
- vmovdqa %ymm0, `32*9*8`(%rsp)
-
- vpxor %ymm1, %ymm1, %ymm1
- vmovdqa 32*0($b_ptr), %ymm0
- lea 256($b_ptr), %rax # size optimization
- vpor 32*1($b_ptr), %ymm0, %ymm0
- vpor 32*2($b_ptr), %ymm0, %ymm0
- vpor 32*3($b_ptr), %ymm0, %ymm0
- vpor 32*4-256(%rax), %ymm0, %ymm0
- lea 256(%rax), %rcx # size optimization
- vpor 32*5-256(%rax), %ymm0, %ymm0
- vpor 32*6-256(%rax), %ymm0, %ymm0
- vpor 32*7-256(%rax), %ymm0, %ymm0
- vpor 32*8-256(%rax), %ymm0, %ymm0
- vpor 32*9-256(%rax), %ymm0, %ymm0
- vpor 32*10-256(%rax), %ymm0, %ymm0
- vpor 32*11-256(%rax), %ymm0, %ymm0
- vpor 32*12-512(%rcx), %ymm0, %ymm0
- vpor 32*13-512(%rcx), %ymm0, %ymm0
- vpor 32*14-512(%rcx), %ymm0, %ymm0
- vpor 32*15-512(%rcx), %ymm0, %ymm0
- vpor 32*16-512(%rcx), %ymm0, %ymm0
- vpor 32*17-512(%rcx), %ymm0, %ymm0
- vpcmpeqq %ymm1, %ymm0, %ymm0
- vmovdqa %ymm0, `32*9*8+32`(%rsp)
-
- # H = U2 - U1 = X2 - X1
- lea `32*9*0`($b_ptr), %rsi
- lea `32*9*0`($a_ptr), %rdx
- lea `32*9*3`(%rsp), %rdi
- call avx2_sub_x4
- call avx2_normalize_n_store
-
- # R = S2 - S1 = Y2 - Y1
- lea `32*9*1`($b_ptr), %rsi
- lea `32*9*1`($a_ptr), %rdx
- lea `32*9*4`(%rsp), %rdi
- call avx2_sub_x4
- call avx2_normalize_n_store
-
- # Z3 = H*Z1*Z2 = H
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*2`($r_ptr), %rdi
- call avx2_mul_by1_x4
- call avx2_normalize
-
- vmovdqa `32*9*8`(%rsp), $B
- vpor `32*9*8+32`(%rsp), $B, $B
-
- vpandn $ACC0, $B, $ACC0
- lea .LONE+128(%rip), %rax
- vpandn $ACC1, $B, $ACC1
- vpandn $ACC2, $B, $ACC2
- vpandn $ACC3, $B, $ACC3
- vpandn $ACC4, $B, $ACC4
- vpandn $ACC5, $B, $ACC5
- vpandn $ACC6, $B, $ACC6
- vpandn $ACC7, $B, $ACC7
-
- vpand 32*0-128(%rax), $B, $T0
- vpandn $ACC8, $B, $ACC8
- vpand 32*1-128(%rax), $B, $Y
- vpxor $T0, $ACC0, $ACC0
- vpand 32*2-128(%rax), $B, $T0
- vpxor $Y, $ACC1, $ACC1
- vpand 32*3-128(%rax), $B, $Y
- vpxor $T0, $ACC2, $ACC2
- vpand 32*4-128(%rax), $B, $T0
- vpxor $Y, $ACC3, $ACC3
- vpand 32*5-128(%rax), $B, $Y
- vpxor $T0, $ACC4, $ACC4
- vpand 32*6-128(%rax), $B, $T0
- vpxor $Y, $ACC5, $ACC5
- vpand 32*7-128(%rax), $B, $Y
- vpxor $T0, $ACC6, $ACC6
- vpand 32*8-128(%rax), $B, $T0
- vpxor $Y, $ACC7, $ACC7
- vpxor $T0, $ACC8, $ACC8
- `&STORE`
-
- # R^2 = R^2
- lea `32*9*4`(%rsp), %rsi
- lea `32*9*6`(%rsp), %rdi
- lea `32*9*8+32*2`(%rsp), %rcx # temporary vector
- call avx2_sqr_x4
- call avx2_normalize_n_store
-
- # H^2 = H^2
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*5`(%rsp), %rdi
- call avx2_sqr_x4
- call avx2_normalize_n_store
-
- # H^3 = H^2*H
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*5`(%rsp), %rdx
- lea `32*9*7`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- # U2 = U1*H^2
- lea `32*9*0`($a_ptr), %rsi
- lea `32*9*5`(%rsp), %rdx
- lea `32*9*0`(%rsp), %rdi
- call avx2_mul_x4
- #call avx2_normalize
- `&STORE`
-
- # Hsqr = U2*2
- #lea 32*9*0(%rsp), %rsi
- #lea 32*9*5(%rsp), %rdi
- #call avx2_mul_by2_x4
-
- vpaddq $ACC0, $ACC0, $ACC0 # inlined avx2_mul_by2_x4
- lea `32*9*5`(%rsp), %rdi
- vpaddq $ACC1, $ACC1, $ACC1
- vpaddq $ACC2, $ACC2, $ACC2
- vpaddq $ACC3, $ACC3, $ACC3
- vpaddq $ACC4, $ACC4, $ACC4
- vpaddq $ACC5, $ACC5, $ACC5
- vpaddq $ACC6, $ACC6, $ACC6
- vpaddq $ACC7, $ACC7, $ACC7
- vpaddq $ACC8, $ACC8, $ACC8
- call avx2_normalize_n_store
-
- # X3 = R^2 - H^3
- #lea 32*9*6(%rsp), %rsi
- #lea 32*9*7(%rsp), %rdx
- #lea 32*9*5(%rsp), %rcx
- #lea 32*9*0($r_ptr), %rdi
- #call avx2_sub_x4
- #NORMALIZE
- #STORE
-
- # X3 = X3 - U2*2
- #lea 32*9*0($r_ptr), %rsi
- #lea 32*9*0($r_ptr), %rdi
- #call avx2_sub_x4
- #NORMALIZE
- #STORE
-
- lea `32*9*6+128`(%rsp), %rsi
- lea .LAVX2_POLY_x2+128(%rip), %rax
- lea `32*9*7+128`(%rsp), %rdx
- lea `32*9*5+128`(%rsp), %rcx
- lea `32*9*0`($r_ptr), %rdi
-
- vmovdqa 32*0-128(%rsi), $ACC0
- vmovdqa 32*1-128(%rsi), $ACC1
- vmovdqa 32*2-128(%rsi), $ACC2
- vmovdqa 32*3-128(%rsi), $ACC3
- vmovdqa 32*4-128(%rsi), $ACC4
- vmovdqa 32*5-128(%rsi), $ACC5
- vmovdqa 32*6-128(%rsi), $ACC6
- vmovdqa 32*7-128(%rsi), $ACC7
- vmovdqa 32*8-128(%rsi), $ACC8
-
- vpaddq 32*0-128(%rax), $ACC0, $ACC0
- vpaddq 32*1-128(%rax), $ACC1, $ACC1
- vpaddq 32*2-128(%rax), $ACC2, $ACC2
- vpaddq 32*3-128(%rax), $ACC3, $ACC3
- vpaddq 32*4-128(%rax), $ACC4, $ACC4
- vpaddq 32*5-128(%rax), $ACC5, $ACC5
- vpaddq 32*6-128(%rax), $ACC6, $ACC6
- vpaddq 32*7-128(%rax), $ACC7, $ACC7
- vpaddq 32*8-128(%rax), $ACC8, $ACC8
-
- vpsubq 32*0-128(%rdx), $ACC0, $ACC0
- vpsubq 32*1-128(%rdx), $ACC1, $ACC1
- vpsubq 32*2-128(%rdx), $ACC2, $ACC2
- vpsubq 32*3-128(%rdx), $ACC3, $ACC3
- vpsubq 32*4-128(%rdx), $ACC4, $ACC4
- vpsubq 32*5-128(%rdx), $ACC5, $ACC5
- vpsubq 32*6-128(%rdx), $ACC6, $ACC6
- vpsubq 32*7-128(%rdx), $ACC7, $ACC7
- vpsubq 32*8-128(%rdx), $ACC8, $ACC8
-
- vpsubq 32*0-128(%rcx), $ACC0, $ACC0
- vpsubq 32*1-128(%rcx), $ACC1, $ACC1
- vpsubq 32*2-128(%rcx), $ACC2, $ACC2
- vpsubq 32*3-128(%rcx), $ACC3, $ACC3
- vpsubq 32*4-128(%rcx), $ACC4, $ACC4
- vpsubq 32*5-128(%rcx), $ACC5, $ACC5
- vpsubq 32*6-128(%rcx), $ACC6, $ACC6
- vpsubq 32*7-128(%rcx), $ACC7, $ACC7
- vpsubq 32*8-128(%rcx), $ACC8, $ACC8
- call avx2_normalize
-
- lea 32*0($b_ptr), %rsi
- lea 32*0($a_ptr), %rdx
- call avx2_select_n_store
-
- # H = U2 - X3
- lea `32*9*0`(%rsp), %rsi
- lea `32*9*0`($r_ptr), %rdx
- lea `32*9*3`(%rsp), %rdi
- call avx2_sub_x4
- call avx2_normalize_n_store
-
- # H = H*R
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*4`(%rsp), %rdx
- lea `32*9*3`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- # S2 = S1 * H^3
- lea `32*9*7`(%rsp), %rsi
- lea `32*9*1`($a_ptr), %rdx
- lea `32*9*1`(%rsp), %rdi
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- #
- lea `32*9*3`(%rsp), %rsi
- lea `32*9*1`(%rsp), %rdx
- lea `32*9*1`($r_ptr), %rdi
- call avx2_sub_x4
- call avx2_normalize
-
- lea 32*9($b_ptr), %rsi
- lea 32*9($a_ptr), %rdx
- call avx2_select_n_store
-
- #lea 32*9*0($r_ptr), %rsi
- #lea 32*9*0($r_ptr), %rdi
- #call avx2_mul_by1_x4
- #NORMALIZE
- #STORE
-
- lea `32*9*1`($r_ptr), %rsi
- lea `32*9*1`($r_ptr), %rdi
- call avx2_mul_by1_x4
- call avx2_normalize_n_store
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps %xmm6, -16*10(%rbp)
- movaps %xmm7, -16*9(%rbp)
- movaps %xmm8, -16*8(%rbp)
- movaps %xmm9, -16*7(%rbp)
- movaps %xmm10, -16*6(%rbp)
- movaps %xmm11, -16*5(%rbp)
- movaps %xmm12, -16*4(%rbp)
- movaps %xmm13, -16*3(%rbp)
- movaps %xmm14, -16*2(%rbp)
- movaps %xmm15, -16*1(%rbp)
-___
-$code.=<<___;
- mov %rbp, %rsp
- pop %rbp
- ret
-.size ecp_nistz256_avx2_point_add_affines_x4,.-ecp_nistz256_avx2_point_add_affines_x4
-
-################################################################################
-# void ecp_nistz256_avx2_to_mont(void* RESULTx4, void *Ax4);
-.globl ecp_nistz256_avx2_to_mont
-.type ecp_nistz256_avx2_to_mont,\@function,2
-.align 32
-ecp_nistz256_avx2_to_mont:
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -8-16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK
- lea .LTO_MONT_AVX2(%rip), %rdx
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps 16*0(%rsp), %xmm6
- movaps 16*1(%rsp), %xmm7
- movaps 16*2(%rsp), %xmm8
- movaps 16*3(%rsp), %xmm9
- movaps 16*4(%rsp), %xmm10
- movaps 16*5(%rsp), %xmm11
- movaps 16*6(%rsp), %xmm12
- movaps 16*7(%rsp), %xmm13
- movaps 16*8(%rsp), %xmm14
- movaps 16*9(%rsp), %xmm15
- lea 8+16*10(%rsp), %rsp
-___
-$code.=<<___;
- ret
-.size ecp_nistz256_avx2_to_mont,.-ecp_nistz256_avx2_to_mont
-
-################################################################################
-# void ecp_nistz256_avx2_from_mont(void* RESULTx4, void *Ax4);
-.globl ecp_nistz256_avx2_from_mont
-.type ecp_nistz256_avx2_from_mont,\@function,2
-.align 32
-ecp_nistz256_avx2_from_mont:
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -8-16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK
- lea .LFROM_MONT_AVX2(%rip), %rdx
- call avx2_mul_x4
- call avx2_normalize_n_store
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps 16*0(%rsp), %xmm6
- movaps 16*1(%rsp), %xmm7
- movaps 16*2(%rsp), %xmm8
- movaps 16*3(%rsp), %xmm9
- movaps 16*4(%rsp), %xmm10
- movaps 16*5(%rsp), %xmm11
- movaps 16*6(%rsp), %xmm12
- movaps 16*7(%rsp), %xmm13
- movaps 16*8(%rsp), %xmm14
- movaps 16*9(%rsp), %xmm15
- lea 8+16*10(%rsp), %rsp
-___
-$code.=<<___;
- ret
-.size ecp_nistz256_avx2_from_mont,.-ecp_nistz256_avx2_from_mont
-
-################################################################################
-# void ecp_nistz256_avx2_set1(void* RESULTx4);
-.globl ecp_nistz256_avx2_set1
-.type ecp_nistz256_avx2_set1,\@function,1
-.align 32
-ecp_nistz256_avx2_set1:
- lea .LONE+128(%rip), %rax
- lea 128(%rdi), %rdi
- vzeroupper
- vmovdqa 32*0-128(%rax), %ymm0
- vmovdqa 32*1-128(%rax), %ymm1
- vmovdqa 32*2-128(%rax), %ymm2
- vmovdqa 32*3-128(%rax), %ymm3
- vmovdqa 32*4-128(%rax), %ymm4
- vmovdqa 32*5-128(%rax), %ymm5
- vmovdqa %ymm0, 32*0-128(%rdi)
- vmovdqa 32*6-128(%rax), %ymm0
- vmovdqa %ymm1, 32*1-128(%rdi)
- vmovdqa 32*7-128(%rax), %ymm1
- vmovdqa %ymm2, 32*2-128(%rdi)
- vmovdqa 32*8-128(%rax), %ymm2
- vmovdqa %ymm3, 32*3-128(%rdi)
- vmovdqa %ymm4, 32*4-128(%rdi)
- vmovdqa %ymm5, 32*5-128(%rdi)
- vmovdqa %ymm0, 32*6-128(%rdi)
- vmovdqa %ymm1, 32*7-128(%rdi)
- vmovdqa %ymm2, 32*8-128(%rdi)
-
- vzeroupper
- ret
-.size ecp_nistz256_avx2_set1,.-ecp_nistz256_avx2_set1
-___
-}
-{
-################################################################################
-# void ecp_nistz256_avx2_multi_gather_w7(void* RESULT, void *in,
-# int index0, int index1, int index2, int index3);
-################################################################################
-
-my ($val,$in_t,$index0,$index1,$index2,$index3)=("%rdi","%rsi","%edx","%ecx","%r8d","%r9d");
-my ($INDEX0,$INDEX1,$INDEX2,$INDEX3)=map("%ymm$_",(0..3));
-my ($R0a,$R0b,$R1a,$R1b,$R2a,$R2b,$R3a,$R3b)=map("%ymm$_",(4..11));
-my ($M0,$T0,$T1,$TMP0)=map("%ymm$_",(12..15));
-
-$code.=<<___;
-.globl ecp_nistz256_avx2_multi_gather_w7
-.type ecp_nistz256_avx2_multi_gather_w7,\@function,6
-.align 32
-ecp_nistz256_avx2_multi_gather_w7:
- vzeroupper
-___
-$code.=<<___ if ($win64);
- lea -8-16*10(%rsp), %rsp
- vmovaps %xmm6, -8-16*10(%rax)
- vmovaps %xmm7, -8-16*9(%rax)
- vmovaps %xmm8, -8-16*8(%rax)
- vmovaps %xmm9, -8-16*7(%rax)
- vmovaps %xmm10, -8-16*6(%rax)
- vmovaps %xmm11, -8-16*5(%rax)
- vmovaps %xmm12, -8-16*4(%rax)
- vmovaps %xmm13, -8-16*3(%rax)
- vmovaps %xmm14, -8-16*2(%rax)
- vmovaps %xmm15, -8-16*1(%rax)
-___
-$code.=<<___;
- lea .LIntOne(%rip), %rax
-
- vmovd $index0, %xmm0
- vmovd $index1, %xmm1
- vmovd $index2, %xmm2
- vmovd $index3, %xmm3
-
- vpxor $R0a, $R0a, $R0a
- vpxor $R0b, $R0b, $R0b
- vpxor $R1a, $R1a, $R1a
- vpxor $R1b, $R1b, $R1b
- vpxor $R2a, $R2a, $R2a
- vpxor $R2b, $R2b, $R2b
- vpxor $R3a, $R3a, $R3a
- vpxor $R3b, $R3b, $R3b
- vmovdqa (%rax), $M0
-
- vpermd $INDEX0, $R0a, $INDEX0
- vpermd $INDEX1, $R0a, $INDEX1
- vpermd $INDEX2, $R0a, $INDEX2
- vpermd $INDEX3, $R0a, $INDEX3
-
- mov \$64, %ecx
- lea 112($val), $val # size optimization
- jmp .Lmulti_select_loop_avx2
-
-# INDEX=0, corresponds to the point at infty (0,0)
-.align 32
-.Lmulti_select_loop_avx2:
- vpcmpeqd $INDEX0, $M0, $TMP0
-
- vmovdqa `32*0+32*64*2*0`($in_t), $T0
- vmovdqa `32*1+32*64*2*0`($in_t), $T1
- vpand $TMP0, $T0, $T0
- vpand $TMP0, $T1, $T1
- vpxor $T0, $R0a, $R0a
- vpxor $T1, $R0b, $R0b
-
- vpcmpeqd $INDEX1, $M0, $TMP0
-
- vmovdqa `32*0+32*64*2*1`($in_t), $T0
- vmovdqa `32*1+32*64*2*1`($in_t), $T1
- vpand $TMP0, $T0, $T0
- vpand $TMP0, $T1, $T1
- vpxor $T0, $R1a, $R1a
- vpxor $T1, $R1b, $R1b
-
- vpcmpeqd $INDEX2, $M0, $TMP0
-
- vmovdqa `32*0+32*64*2*2`($in_t), $T0
- vmovdqa `32*1+32*64*2*2`($in_t), $T1
- vpand $TMP0, $T0, $T0
- vpand $TMP0, $T1, $T1
- vpxor $T0, $R2a, $R2a
- vpxor $T1, $R2b, $R2b
-
- vpcmpeqd $INDEX3, $M0, $TMP0
-
- vmovdqa `32*0+32*64*2*3`($in_t), $T0
- vmovdqa `32*1+32*64*2*3`($in_t), $T1
- vpand $TMP0, $T0, $T0
- vpand $TMP0, $T1, $T1
- vpxor $T0, $R3a, $R3a
- vpxor $T1, $R3b, $R3b
-
- vpaddd (%rax), $M0, $M0 # increment
- lea 32*2($in_t), $in_t
-
- dec %ecx
- jnz .Lmulti_select_loop_avx2
-
- vmovdqu $R0a, 32*0-112($val)
- vmovdqu $R0b, 32*1-112($val)
- vmovdqu $R1a, 32*2-112($val)
- vmovdqu $R1b, 32*3-112($val)
- vmovdqu $R2a, 32*4-112($val)
- vmovdqu $R2b, 32*5-112($val)
- vmovdqu $R3a, 32*6-112($val)
- vmovdqu $R3b, 32*7-112($val)
-
- vzeroupper
-___
-$code.=<<___ if ($win64);
- movaps 16*0(%rsp), %xmm6
- movaps 16*1(%rsp), %xmm7
- movaps 16*2(%rsp), %xmm8
- movaps 16*3(%rsp), %xmm9
- movaps 16*4(%rsp), %xmm10
- movaps 16*5(%rsp), %xmm11
- movaps 16*6(%rsp), %xmm12
- movaps 16*7(%rsp), %xmm13
- movaps 16*8(%rsp), %xmm14
- movaps 16*9(%rsp), %xmm15
- lea 8+16*10(%rsp), %rsp
-___
-$code.=<<___;
- ret
-.size ecp_nistz256_avx2_multi_gather_w7,.-ecp_nistz256_avx2_multi_gather_w7
-
-.extern OPENSSL_ia32cap_P
-.globl ecp_nistz_avx2_eligible
-.type ecp_nistz_avx2_eligible,\@abi-omnipotent
-.align 32
-ecp_nistz_avx2_eligible:
- mov OPENSSL_ia32cap_P+8(%rip),%eax
- shr \$5,%eax
- and \$1,%eax
- ret
-.size ecp_nistz_avx2_eligible,.-ecp_nistz_avx2_eligible
-___
-}
-}} else {{ # assembler is too old
-$code.=<<___;
-.text
-
-.globl ecp_nistz256_avx2_transpose_convert
-.globl ecp_nistz256_avx2_convert_transpose_back
-.globl ecp_nistz256_avx2_point_add_affine_x4
-.globl ecp_nistz256_avx2_point_add_affines_x4
-.globl ecp_nistz256_avx2_to_mont
-.globl ecp_nistz256_avx2_from_mont
-.globl ecp_nistz256_avx2_set1
-.globl ecp_nistz256_avx2_multi_gather_w7
-.type ecp_nistz256_avx2_multi_gather_w7,\@abi-omnipotent
-ecp_nistz256_avx2_transpose_convert:
-ecp_nistz256_avx2_convert_transpose_back:
-ecp_nistz256_avx2_point_add_affine_x4:
-ecp_nistz256_avx2_point_add_affines_x4:
-ecp_nistz256_avx2_to_mont:
-ecp_nistz256_avx2_from_mont:
-ecp_nistz256_avx2_set1:
-ecp_nistz256_avx2_multi_gather_w7:
- .byte 0x0f,0x0b # ud2
- ret
-.size ecp_nistz256_avx2_multi_gather_w7,.-ecp_nistz256_avx2_multi_gather_w7
-
-.globl ecp_nistz_avx2_eligible
-.type ecp_nistz_avx2_eligible,\@abi-omnipotent
-ecp_nistz_avx2_eligible:
- xor %eax,%eax
- ret
-.size ecp_nistz_avx2_eligible,.-ecp_nistz_avx2_eligible
-___
-}}
-
-foreach (split("\n",$code)) {
- s/\`([^\`]*)\`/eval($1)/geo;
-
- print $_,"\n";
-}
-
-close STDOUT;
diff --git a/crypto/ec/asm/ecp_nistz256-ppc64.pl b/crypto/ec/asm/ecp_nistz256-ppc64.pl
index 984c7f20..2bf54e2a 100755
--- a/crypto/ec/asm/ecp_nistz256-ppc64.pl
+++ b/crypto/ec/asm/ecp_nistz256-ppc64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -2379,4 +2379,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/ec/asm/ecp_nistz256-sparcv9.pl b/crypto/ec/asm/ecp_nistz256-sparcv9.pl
index 4383bea4..042e1227 100755
--- a/crypto/ec/asm/ecp_nistz256-sparcv9.pl
+++ b/crypto/ec/asm/ecp_nistz256-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -3057,4 +3057,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/ec/asm/ecp_nistz256-x86.pl b/crypto/ec/asm/ecp_nistz256-x86.pl
index 0c6fc665..e926d69b 100755
--- a/crypto/ec/asm/ecp_nistz256-x86.pl
+++ b/crypto/ec/asm/ecp_nistz256-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1388,7 +1388,7 @@ for ($i=0;$i<7;$i++) {
# above map() describes stack layout with 18 temporary
# 256-bit vectors on top, then we take extra words for
- # !in1infty, !in2infty, result of check for zero and
+ # ~in1infty, ~in2infty, result of check for zero and
# OPENSSL_ia32cap_P copy. [one unused word for padding]
&stack_push(8*18+5);
if ($sse2) {
@@ -1419,7 +1419,7 @@ for ($i=0;$i<7;$i++) {
&sub ("eax","ebp");
&or ("ebp","eax");
&sar ("ebp",31);
- &mov (&DWP(32*18+4,"esp"),"ebp"); # !in2infty
+ &mov (&DWP(32*18+4,"esp"),"ebp"); # ~in2infty
&lea ("edi",&DWP($in1_x,"esp"));
for($i=0;$i<96;$i+=16) {
@@ -1441,7 +1441,7 @@ for ($i=0;$i<7;$i++) {
&sub ("eax","ebp");
&or ("ebp","eax");
&sar ("ebp",31);
- &mov (&DWP(32*18+0,"esp"),"ebp"); # !in1infty
+ &mov (&DWP(32*18+0,"esp"),"ebp"); # ~in1infty
&mov ("eax",&DWP(32*18+12,"esp")); # OPENSSL_ia32cap_P copy
&lea ("esi",&DWP($in2_z,"esp"));
@@ -1516,23 +1516,19 @@ for ($i=0;$i<7;$i++) {
&or ("eax",&DWP(0,"edi"));
&or ("eax",&DWP(4,"edi"));
&or ("eax",&DWP(8,"edi"));
- &or ("eax",&DWP(12,"edi"));
+ &or ("eax",&DWP(12,"edi")); # ~is_equal(U1,U2)
- &data_byte(0x3e); # predict taken
- &jnz (&label("add_proceed")); # is_equal(U1,U2)?
-
- &mov ("eax",&DWP(32*18+0,"esp"));
- &and ("eax",&DWP(32*18+4,"esp"));
- &mov ("ebx",&DWP(32*18+8,"esp"));
- &jz (&label("add_proceed")); # (in1infty || in2infty)?
- &test ("ebx","ebx");
- &jz (&label("add_double")); # is_equal(S1,S2)?
+ &mov ("ebx",&DWP(32*18+0,"esp")); # ~in1infty
+ ¬ ("ebx"); # -1/0 -> 0/-1
+ &or ("eax","ebx");
+ &mov ("ebx",&DWP(32*18+4,"esp")); # ~in2infty
+ ¬ ("ebx"); # -1/0 -> 0/-1
+ &or ("eax","ebx");
+ &or ("eax",&DWP(32*18+8,"esp")); # ~is_equal(S1,S2)
- &mov ("edi",&wparam(0));
- &xor ("eax","eax");
- &mov ("ecx",96/4);
- &data_byte(0xfc,0xf3,0xab); # cld; stosd
- &jmp (&label("add_done"));
+ # if (~is_equal(U1,U2) | in1infty | in2infty | ~is_equal(S1,S2))
+ &data_byte(0x3e); # predict taken
+ &jnz (&label("add_proceed"));
&set_label("add_double",16);
&mov ("esi",&wparam(1));
@@ -1614,34 +1610,34 @@ for ($i=0;$i<7;$i++) {
&lea ("edi",&DWP($res_y,"esp"));
&call ("_ecp_nistz256_sub"); # p256_sub(res_y, res_y, S2);
- &mov ("ebp",&DWP(32*18+0,"esp")); # !in1infty
- &mov ("esi",&DWP(32*18+4,"esp")); # !in2infty
+ &mov ("ebp",&DWP(32*18+0,"esp")); # ~in1infty
+ &mov ("esi",&DWP(32*18+4,"esp")); # ~in2infty
&mov ("edi",&wparam(0));
&mov ("edx","ebp");
¬ ("ebp");
- &and ("edx","esi");
- &and ("ebp","esi");
- ¬ ("esi");
+ &and ("edx","esi"); # ~in1infty & ~in2infty
+ &and ("ebp","esi"); # in1infty & ~in2infty
+ ¬ ("esi"); # in2infty
########################################
# conditional moves
for($i=64;$i<96;$i+=4) {
- &mov ("eax","edx");
+ &mov ("eax","edx"); # ~in1infty & ~in2infty
&and ("eax",&DWP($res_x+$i,"esp"));
- &mov ("ebx","ebp");
+ &mov ("ebx","ebp"); # in1infty & ~in2infty
&and ("ebx",&DWP($in2_x+$i,"esp"));
- &mov ("ecx","esi");
+ &mov ("ecx","esi"); # in2infty
&and ("ecx",&DWP($in1_x+$i,"esp"));
&or ("eax","ebx");
&or ("eax","ecx");
&mov (&DWP($i,"edi"),"eax");
}
for($i=0;$i<64;$i+=4) {
- &mov ("eax","edx");
+ &mov ("eax","edx"); # ~in1infty & ~in2infty
&and ("eax",&DWP($res_x+$i,"esp"));
- &mov ("ebx","ebp");
+ &mov ("ebx","ebp"); # in1infty & ~in2infty
&and ("ebx",&DWP($in2_x+$i,"esp"));
- &mov ("ecx","esi");
+ &mov ("ecx","esi"); # in2infty
&and ("ecx",&DWP($in1_x+$i,"esp"));
&or ("eax","ebx");
&or ("eax","ecx");
@@ -1668,7 +1664,7 @@ for ($i=0;$i<7;$i++) {
# above map() describes stack layout with 15 temporary
# 256-bit vectors on top, then we take extra words for
- # !in1infty, !in2infty, and OPENSSL_ia32cap_P copy.
+ # ~in1infty, ~in2infty, and OPENSSL_ia32cap_P copy.
&stack_push(8*15+3);
if ($sse2) {
&call ("_picup_eax");
@@ -1698,7 +1694,7 @@ for ($i=0;$i<7;$i++) {
&sub ("eax","ebp");
&or ("ebp","eax");
&sar ("ebp",31);
- &mov (&DWP(32*15+0,"esp"),"ebp"); # !in1infty
+ &mov (&DWP(32*15+0,"esp"),"ebp"); # ~in1infty
&lea ("edi",&DWP($in2_x,"esp"));
for($i=0;$i<64;$i+=16) {
@@ -1724,7 +1720,7 @@ for ($i=0;$i<7;$i++) {
&lea ("ebp",&DWP($in1_z,"esp"));
&sar ("ebx",31);
&lea ("edi",&DWP($Z1sqr,"esp"));
- &mov (&DWP(32*15+4,"esp"),"ebx"); # !in2infty
+ &mov (&DWP(32*15+4,"esp"),"ebx"); # ~in2infty
&call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(Z1sqr, in1_z);
@@ -1823,14 +1819,14 @@ for ($i=0;$i<7;$i++) {
&lea ("edi",&DWP($res_y,"esp"));
&call ("_ecp_nistz256_sub"); # p256_sub(res_y, res_y, S2);
- &mov ("ebp",&DWP(32*15+0,"esp")); # !in1infty
- &mov ("esi",&DWP(32*15+4,"esp")); # !in2infty
+ &mov ("ebp",&DWP(32*15+0,"esp")); # ~in1infty
+ &mov ("esi",&DWP(32*15+4,"esp")); # ~in2infty
&mov ("edi",&wparam(0));
&mov ("edx","ebp");
¬ ("ebp");
- &and ("edx","esi");
- &and ("ebp","esi");
- ¬ ("esi");
+ &and ("edx","esi"); # ~in1infty & ~in2infty
+ &and ("ebp","esi"); # in1infty & ~in2infty
+ ¬ ("esi"); # in2infty
########################################
# conditional moves
@@ -1848,11 +1844,11 @@ for ($i=0;$i<7;$i++) {
&mov (&DWP($i,"edi"),"eax");
}
for($i=0;$i<64;$i+=4) {
- &mov ("eax","edx");
+ &mov ("eax","edx"); # ~in1infty & ~in2infty
&and ("eax",&DWP($res_x+$i,"esp"));
- &mov ("ebx","ebp");
+ &mov ("ebx","ebp"); # in1infty & ~in2infty
&and ("ebx",&DWP($in2_x+$i,"esp"));
- &mov ("ecx","esi");
+ &mov ("ecx","esi"); # in2infty
&and ("ecx",&DWP($in1_x+$i,"esp"));
&or ("eax","ebx");
&or ("eax","ecx");
@@ -1863,4 +1859,4 @@ for ($i=0;$i<7;$i++) {
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/ec/asm/ecp_nistz256-x86_64.pl b/crypto/ec/asm/ecp_nistz256-x86_64.pl
index 10ccc641..b50ee701 100755
--- a/crypto/ec/asm/ecp_nistz256-x86_64.pl
+++ b/crypto/ec/asm/ecp_nistz256-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
# Copyright (c) 2014, Intel Corporation. All Rights Reserved.
# Copyright (c) 2015 CloudFlare, Inc.
#
@@ -72,7 +72,7 @@ if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$addx = ($1>=12);
}
-if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) {
my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
$avx = ($ver>=3.0) + ($ver>=3.01);
$addx = ($ver>=3.03);
@@ -1579,6 +1579,7 @@ $code.=<<___;
.type ecp_nistz256_to_mont,\@function,2
.align 32
ecp_nistz256_to_mont:
+.cfi_startproc
___
$code.=<<___ if ($addx);
mov \$0x80100, %ecx
@@ -1587,6 +1588,7 @@ ___
$code.=<<___;
lea .LRR(%rip), $b_org
jmp .Lmul_mont
+.cfi_endproc
.size ecp_nistz256_to_mont,.-ecp_nistz256_to_mont
################################################################################
@@ -2562,6 +2564,7 @@ $code.=<<___;
.type ecp_nistz256_scatter_w5,\@abi-omnipotent
.align 32
ecp_nistz256_scatter_w5:
+.cfi_startproc
lea -3($index,$index,2), $index
movdqa 0x00($in_t), %xmm0
shl \$5, $index
@@ -2578,6 +2581,7 @@ ecp_nistz256_scatter_w5:
movdqa %xmm5, 0x50($val,$index)
ret
+.cfi_endproc
.size ecp_nistz256_scatter_w5,.-ecp_nistz256_scatter_w5
################################################################################
@@ -2685,6 +2689,7 @@ $code.=<<___;
.type ecp_nistz256_scatter_w7,\@abi-omnipotent
.align 32
ecp_nistz256_scatter_w7:
+.cfi_startproc
movdqu 0x00($in_t), %xmm0
shl \$6, $index
movdqu 0x10($in_t), %xmm1
@@ -2696,6 +2701,7 @@ ecp_nistz256_scatter_w7:
movdqa %xmm3, 0x30($val,$index)
ret
+.cfi_endproc
.size ecp_nistz256_scatter_w7,.-ecp_nistz256_scatter_w7
################################################################################
@@ -3020,8 +3026,10 @@ $code.=<<___;
.type ecp_nistz256_avx2_gather_w7,\@function,3
.align 32
ecp_nistz256_avx2_gather_w7:
+.cfi_startproc
.byte 0x0f,0x0b # ud2
ret
+.cfi_endproc
.size ecp_nistz256_avx2_gather_w7,.-ecp_nistz256_avx2_gather_w7
___
}
@@ -3617,29 +3625,19 @@ $code.=<<___;
call __ecp_nistz256_sub_from$x # p256_sub(H, U2, U1);
or $acc5, $acc4 # see if result is zero
+ or $acc0, $acc4
+ or $acc1, $acc4 # !is_equal(U1, U2)
+
+ movq %xmm2, $acc0 # in1infty | in2infty
+ movq %xmm3, $acc1 # !is_equal(S1, S2)
+
or $acc0, $acc4
or $acc1, $acc4
+ # if (!is_equal(U1, U2) | in1infty | in2infty | !is_equal(S1, S2))
.byte 0x3e # predict taken
- jnz .Ladd_proceed$x # is_equal(U1,U2)?
- movq %xmm2, $acc0
- movq %xmm3, $acc1
- test $acc0, $acc0
- jnz .Ladd_proceed$x # (in1infty || in2infty)?
- test $acc1, $acc1
- jz .Ladd_double$x # is_equal(S1,S2)?
+ jnz .Ladd_proceed$x
- movq %xmm0, $r_ptr # restore $r_ptr
- pxor %xmm0, %xmm0
- movdqu %xmm0, 0x00($r_ptr)
- movdqu %xmm0, 0x10($r_ptr)
- movdqu %xmm0, 0x20($r_ptr)
- movdqu %xmm0, 0x30($r_ptr)
- movdqu %xmm0, 0x40($r_ptr)
- movdqu %xmm0, 0x50($r_ptr)
- jmp .Ladd_done$x
-
-.align 32
.Ladd_double$x:
movq %xmm1, $a_ptr # restore $a_ptr
movq %xmm0, $r_ptr # restore $r_ptr
@@ -4738,4 +4736,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/ec/asm/x25519-ppc64.pl b/crypto/ec/asm/x25519-ppc64.pl
index 6e8b3642..f4b523bf 100755
--- a/crypto/ec/asm/x25519-ppc64.pl
+++ b/crypto/ec/asm/x25519-ppc64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2018-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -821,4 +821,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/ec/asm/x25519-x86_64.pl b/crypto/ec/asm/x25519-x86_64.pl
index 18dc6af9..62599dac 100755
--- a/crypto/ec/asm/x25519-x86_64.pl
+++ b/crypto/ec/asm/x25519-x86_64.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -90,7 +90,7 @@ if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$addx = ($1>=12);
}
-if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+)\.([0-9]+)/) {
my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10
$addx = ($ver>=3.03);
}
@@ -488,12 +488,14 @@ $code.=<<___;
.type x25519_fe64_eligible,\@abi-omnipotent
.align 32
x25519_fe64_eligible:
+.cfi_startproc
mov OPENSSL_ia32cap_P+8(%rip),%ecx
xor %eax,%eax
and \$0x80100,%ecx
cmp \$0x80100,%ecx
cmove %ecx,%eax
ret
+.cfi_endproc
.size x25519_fe64_eligible,.-x25519_fe64_eligible
.globl x25519_fe64_mul
@@ -722,6 +724,7 @@ x25519_fe64_sqr:
.align 32
x25519_fe64_mul121666:
.Lfe64_mul121666_body:
+.cfi_startproc
mov \$121666,%edx
mulx 8*0(%rsi),$acc0,%rcx
mulx 8*1(%rsi),$acc1,%rax
@@ -750,6 +753,7 @@ x25519_fe64_mul121666:
.Lfe64_mul121666_epilogue:
ret
+.cfi_endproc
.size x25519_fe64_mul121666,.-x25519_fe64_mul121666
.globl x25519_fe64_add
@@ -757,6 +761,7 @@ x25519_fe64_mul121666:
.align 32
x25519_fe64_add:
.Lfe64_add_body:
+.cfi_startproc
mov 8*0(%rsi),$acc0
mov 8*1(%rsi),$acc1
mov 8*2(%rsi),$acc2
@@ -785,6 +790,7 @@ x25519_fe64_add:
.Lfe64_add_epilogue:
ret
+.cfi_endproc
.size x25519_fe64_add,.-x25519_fe64_add
.globl x25519_fe64_sub
@@ -792,6 +798,7 @@ x25519_fe64_add:
.align 32
x25519_fe64_sub:
.Lfe64_sub_body:
+.cfi_startproc
mov 8*0(%rsi),$acc0
mov 8*1(%rsi),$acc1
mov 8*2(%rsi),$acc2
@@ -820,6 +827,7 @@ x25519_fe64_sub:
.Lfe64_sub_epilogue:
ret
+.cfi_endproc
.size x25519_fe64_sub,.-x25519_fe64_sub
.globl x25519_fe64_tobytes
@@ -827,6 +835,7 @@ x25519_fe64_sub:
.align 32
x25519_fe64_tobytes:
.Lfe64_to_body:
+.cfi_startproc
mov 8*0(%rsi),$acc0
mov 8*1(%rsi),$acc1
mov 8*2(%rsi),$acc2
@@ -862,6 +871,7 @@ x25519_fe64_tobytes:
.Lfe64_to_epilogue:
ret
+.cfi_endproc
.size x25519_fe64_tobytes,.-x25519_fe64_tobytes
___
} else {
@@ -870,8 +880,10 @@ $code.=<<___;
.type x25519_fe64_eligible,\@abi-omnipotent
.align 32
x25519_fe64_eligible:
+.cfi_startproc
xor %eax,%eax
ret
+.cfi_endproc
.size x25519_fe64_eligible,.-x25519_fe64_eligible
.globl x25519_fe64_mul
@@ -887,8 +899,10 @@ x25519_fe64_mul121666:
x25519_fe64_add:
x25519_fe64_sub:
x25519_fe64_tobytes:
+.cfi_startproc
.byte 0x0f,0x0b # ud2
ret
+.cfi_endproc
.size x25519_fe64_mul,.-x25519_fe64_mul
___
}
@@ -1114,4 +1128,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/ec/curve25519.c b/crypto/ec/curve25519.c
index c5d887ec..952da0e6 100644
--- a/crypto/ec/curve25519.c
+++ b/crypto/ec/curve25519.c
@@ -8,7 +8,7 @@
*/
#include <string.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/sha.h>
#if defined(X25519_ASM) && (defined(__x86_64) || defined(__x86_64__) || \
diff --git a/crypto/ec/curve448/arch_32/arch_intrinsics.h b/crypto/ec/curve448/arch_32/arch_intrinsics.h
index 48081c77..5f638986 100644
--- a/crypto/ec/curve448/arch_32/arch_intrinsics.h
+++ b/crypto/ec/curve448/arch_32/arch_intrinsics.h
@@ -10,10 +10,10 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_ARCH_32_ARCH_INTRINSICS_H
-# define HEADER_ARCH_32_ARCH_INTRINSICS_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_ARCH_32_INTRINSICS_H
+# define OSSL_CRYPTO_EC_CURVE448_ARCH_32_INTRINSICS_H
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
# define ARCH_WORD_BITS 32
@@ -24,4 +24,4 @@ static ossl_inline uint64_t widemul(uint32_t a, uint32_t b)
return ((uint64_t)a) * b;
}
-#endif /* HEADER_ARCH_32_ARCH_INTRINSICS_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_ARCH_32_INTRINSICS_H */
diff --git a/crypto/ec/curve448/arch_32/f_impl.h b/crypto/ec/curve448/arch_32/f_impl.h
index bbde84a0..e1ddddae 100644
--- a/crypto/ec/curve448/arch_32/f_impl.h
+++ b/crypto/ec/curve448/arch_32/f_impl.h
@@ -10,8 +10,8 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_ARCH_32_F_IMPL_H
-# define HEADER_ARCH_32_F_IMPL_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_ARCH_32_F_IMPL_H
+# define OSSL_CRYPTO_EC_CURVE448_ARCH_32_F_IMPL_H
# define GF_HEADROOM 2
# define LIMB(x) ((x) & ((1 << 28) - 1)), ((x) >> 28)
@@ -57,4 +57,4 @@ void gf_weak_reduce(gf a)
a->limb[0] = (a->limb[0] & mask) + tmp;
}
-#endif /* HEADER_ARCH_32_F_IMPL_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_ARCH_32_F_IMPL_H */
diff --git a/crypto/ec/curve448/curve448.c b/crypto/ec/curve448/curve448.c
index 19bd3857..12d97f06 100644
--- a/crypto/ec/curve448/curve448.c
+++ b/crypto/ec/curve448/curve448.c
@@ -15,7 +15,7 @@
#include "point_448.h"
#include "ed448.h"
-#include "curve448_lcl.h"
+#include "curve448_local.h"
#define COFACTOR 4
diff --git a/crypto/ec/curve448/curve448_lcl.h b/crypto/ec/curve448/curve448_local.h
similarity index 91%
rename from crypto/ec/curve448/curve448_lcl.h
rename to crypto/ec/curve448/curve448_local.h
index 2bc3bd84..b2777066 100644
--- a/crypto/ec/curve448/curve448_lcl.h
+++ b/crypto/ec/curve448/curve448_local.h
@@ -6,8 +6,8 @@
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_CURVE448_LCL_H
-# define HEADER_CURVE448_LCL_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_LOCAL_H
+# define OSSL_CRYPTO_EC_CURVE448_LOCAL_H
# include "curve448utils.h"
int X448(uint8_t out_shared_key[56], const uint8_t private_key[56],
@@ -35,4 +35,4 @@ int ED448ph_verify(const uint8_t hash[64], const uint8_t signature[114],
int ED448_public_from_private(uint8_t out_public_key[57],
const uint8_t private_key[57]);
-#endif /* HEADER_CURVE448_LCL_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_LOCAL_H */
diff --git a/crypto/ec/curve448/curve448utils.h b/crypto/ec/curve448/curve448utils.h
index 9032bb4f..86c258e7 100644
--- a/crypto/ec/curve448/curve448utils.h
+++ b/crypto/ec/curve448/curve448utils.h
@@ -10,8 +10,8 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_CURVE448UTILS_H
-# define HEADER_CURVE448UTILS_H
+#ifndef OSSL_CRYPTO_EC_CURVE448UTILS_H
+# define OSSL_CRYPTO_EC_CURVE448UTILS_H
# include <openssl/e_os2.h>
diff --git a/crypto/ec/curve448/ed448.h b/crypto/ec/curve448/ed448.h
index 5fe939e8..c1e5c283 100644
--- a/crypto/ec/curve448/ed448.h
+++ b/crypto/ec/curve448/ed448.h
@@ -10,8 +10,8 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_ED448_H
-# define HEADER_ED448_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_ED448_H
+# define OSSL_CRYPTO_EC_CURVE448_ED448_H
# include "point_448.h"
@@ -192,4 +192,4 @@ c448_error_t c448_ed448_convert_private_key_to_x448(
uint8_t x[X448_PRIVATE_BYTES],
const uint8_t ed[EDDSA_448_PRIVATE_BYTES]);
-#endif /* HEADER_ED448_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_ED448_H */
diff --git a/crypto/ec/curve448/eddsa.c b/crypto/ec/curve448/eddsa.c
index b28f7dff..82741f54 100644
--- a/crypto/ec/curve448/eddsa.c
+++ b/crypto/ec/curve448/eddsa.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -12,7 +12,7 @@
#include <string.h>
#include <openssl/crypto.h>
#include <openssl/evp.h>
-#include "curve448_lcl.h"
+#include "curve448_local.h"
#include "word.h"
#include "ed448.h"
#include "internal/numbers.h"
@@ -50,7 +50,12 @@ static c448_error_t hash_init_with_dom(EVP_MD_CTX *hashctx, uint8_t prehashed,
const uint8_t *context,
size_t context_len)
{
- const char *dom_s = "SigEd448";
+#ifdef CHARSET_EBCDIC
+ const char dom_s[] = {0x53, 0x69, 0x67, 0x45,
+ 0x64, 0x34, 0x34, 0x38, 0x00};
+#else
+ const char dom_s[] = "SigEd448";
+#endif
uint8_t dom[2];
if (context_len > UINT8_MAX)
diff --git a/crypto/ec/curve448/field.h b/crypto/ec/curve448/field.h
index d96d4c02..ccd04482 100644
--- a/crypto/ec/curve448/field.h
+++ b/crypto/ec/curve448/field.h
@@ -10,10 +10,10 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_FIELD_H
-# define HEADER_FIELD_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_FIELD_H
+# define OSSL_CRYPTO_EC_CURVE448_FIELD_H
-# include "internal/constant_time_locl.h"
+# include "internal/constant_time.h"
# include <string.h>
# include <assert.h>
# include "word.h"
@@ -165,4 +165,4 @@ static ossl_inline void gf_cond_swap(gf x, gf_s * RESTRICT y, mask_t swap)
}
}
-#endif /* HEADER_FIELD_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_FIELD_H */
diff --git a/crypto/ec/curve448/point_448.h b/crypto/ec/curve448/point_448.h
index 399f91b9..93e715fd 100644
--- a/crypto/ec/curve448/point_448.h
+++ b/crypto/ec/curve448/point_448.h
@@ -10,8 +10,8 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_POINT_448_H
-# define HEADER_POINT_448_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_POINT_448_H
+# define OSSL_CRYPTO_EC_CURVE448_POINT_448_H
# include "curve448utils.h"
# include "field.h"
@@ -298,4 +298,4 @@ void curve448_scalar_destroy(curve448_scalar_t scalar);
/* Overwrite point with zeros. */
void curve448_point_destroy(curve448_point_t point);
-#endif /* HEADER_POINT_448_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_POINT_448_H */
diff --git a/crypto/ec/curve448/word.h b/crypto/ec/curve448/word.h
index a48b9e05..237cc9b6 100644
--- a/crypto/ec/curve448/word.h
+++ b/crypto/ec/curve448/word.h
@@ -10,8 +10,8 @@
* Originally written by Mike Hamburg
*/
-#ifndef HEADER_WORD_H
-# define HEADER_WORD_H
+#ifndef OSSL_CRYPTO_EC_CURVE448_WORD_H
+# define OSSL_CRYPTO_EC_CURVE448_WORD_H
# include <string.h>
# include <assert.h>
@@ -78,4 +78,4 @@ static ossl_inline mask_t bool_to_mask(c448_bool_t m)
return ret;
}
-#endif /* HEADER_WORD_H */
+#endif /* OSSL_CRYPTO_EC_CURVE448_WORD_H */
diff --git a/crypto/ec/ec2_oct.c b/crypto/ec/ec2_oct.c
index ee300518..48543265 100644
--- a/crypto/ec/ec2_oct.c
+++ b/crypto/ec/ec2_oct.c
@@ -10,7 +10,7 @@
#include <openssl/err.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#ifndef OPENSSL_NO_EC2M
diff --git a/crypto/ec/ec2_smpl.c b/crypto/ec/ec2_smpl.c
index 898e741f..84e5537a 100644
--- a/crypto/ec/ec2_smpl.c
+++ b/crypto/ec/ec2_smpl.c
@@ -10,8 +10,8 @@
#include <openssl/err.h>
-#include "internal/bn_int.h"
-#include "ec_lcl.h"
+#include "crypto/bn.h"
+#include "ec_local.h"
#ifndef OPENSSL_NO_EC2M
diff --git a/crypto/ec/ec_ameth.c b/crypto/ec/ec_ameth.c
index c086f47a..5098bd7a 100644
--- a/crypto/ec/ec_ameth.c
+++ b/crypto/ec/ec_ameth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,16 +14,16 @@
#include <openssl/bn.h>
#include <openssl/cms.h>
#include <openssl/asn1t.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
-#include "ec_lcl.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
+#include "ec_local.h"
#ifndef OPENSSL_NO_CMS
static int ecdh_cms_decrypt(CMS_RecipientInfo *ri);
static int ecdh_cms_encrypt(CMS_RecipientInfo *ri);
#endif
-static int eckey_param2type(int *pptype, void **ppval, EC_KEY *ec_key)
+static int eckey_param2type(int *pptype, void **ppval, const EC_KEY *ec_key)
{
const EC_GROUP *group;
int nid;
@@ -35,7 +35,14 @@ static int eckey_param2type(int *pptype, void **ppval, EC_KEY *ec_key)
&& (nid = EC_GROUP_get_curve_name(group)))
/* we have a 'named curve' => just set the OID */
{
- *ppval = OBJ_nid2obj(nid);
+ ASN1_OBJECT *asn1obj = OBJ_nid2obj(nid);
+
+ if (asn1obj == NULL || OBJ_length(asn1obj) == 0) {
+ ASN1_OBJECT_free(asn1obj);
+ ECerr(EC_F_ECKEY_PARAM2TYPE, EC_R_MISSING_OID);
+ return 0;
+ }
+ *ppval = asn1obj;
*pptype = V_ASN1_OBJECT;
} else { /* explicit parameters */
@@ -43,7 +50,17 @@ static int eckey_param2type(int *pptype, void **ppval, EC_KEY *ec_key)
pstr = ASN1_STRING_new();
if (pstr == NULL)
return 0;
- pstr->length = i2d_ECParameters(ec_key, &pstr->data);
+
+ /*
+ * The cast in the following line is intentional as the
+ * `i2d_ECParameters` signature can't be constified (see discussion at
+ * https://github.com/openssl/openssl/pull/9347 where related and
+ * required constification backports were rejected).
+ *
+ * This cast should be safe anyway, because we can expect
+ * `i2d_ECParameters()` to treat the first argument as if it was const.
+ */
+ pstr->length = i2d_ECParameters((EC_KEY *)ec_key, &pstr->data);
if (pstr->length <= 0) {
ASN1_STRING_free(pstr);
ECerr(EC_F_ECKEY_PARAM2TYPE, ERR_R_EC_LIB);
@@ -57,7 +74,7 @@ static int eckey_param2type(int *pptype, void **ppval, EC_KEY *ec_key)
static int eckey_pub_encode(X509_PUBKEY *pk, const EVP_PKEY *pkey)
{
- EC_KEY *ec_key = pkey->pkey.ec;
+ const EC_KEY *ec_key = pkey->pkey.ec;
void *pval = NULL;
int ptype;
unsigned char *penc = NULL, *p;
diff --git a/crypto/ec/ec_asn1.c b/crypto/ec/ec_asn1.c
index 1ce1181f..7b7c75ce 100644
--- a/crypto/ec/ec_asn1.c
+++ b/crypto/ec/ec_asn1.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include <string.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/err.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
@@ -137,6 +137,12 @@ struct ec_parameters_st {
ASN1_INTEGER *cofactor;
} /* ECPARAMETERS */ ;
+typedef enum {
+ ECPKPARAMETERS_TYPE_NAMED = 0,
+ ECPKPARAMETERS_TYPE_EXPLICIT,
+ ECPKPARAMETERS_TYPE_IMPLICIT
+} ecpk_parameters_type_t;
+
struct ecpk_parameters_st {
int type;
union {
@@ -446,6 +452,7 @@ ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
unsigned char *buffer = NULL;
const EC_POINT *point = NULL;
point_conversion_form_t form;
+ ASN1_INTEGER *orig;
if (params == NULL) {
if ((ret = ECPARAMETERS_new()) == NULL) {
@@ -496,8 +503,9 @@ ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_EC_LIB);
goto err;
}
- ret->order = BN_to_ASN1_INTEGER(tmp, ret->order);
+ ret->order = BN_to_ASN1_INTEGER(tmp, orig = ret->order);
if (ret->order == NULL) {
+ ret->order = orig;
ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_ASN1_LIB);
goto err;
}
@@ -505,8 +513,9 @@ ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
/* set the cofactor (optional) */
tmp = EC_GROUP_get0_cofactor(group);
if (tmp != NULL) {
- ret->cofactor = BN_to_ASN1_INTEGER(tmp, ret->cofactor);
+ ret->cofactor = BN_to_ASN1_INTEGER(tmp, orig = ret->cofactor);
if (ret->cofactor == NULL) {
+ ret->cofactor = orig;
ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_ASN1_LIB);
goto err;
}
@@ -532,9 +541,10 @@ ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
return NULL;
}
} else {
- if (ret->type == 0)
+ if (ret->type == ECPKPARAMETERS_TYPE_NAMED)
ASN1_OBJECT_free(ret->value.named_curve);
- else if (ret->type == 1 && ret->value.parameters)
+ else if (ret->type == ECPKPARAMETERS_TYPE_EXPLICIT
+ && ret->value.parameters != NULL)
ECPARAMETERS_free(ret->value.parameters);
}
@@ -544,15 +554,22 @@ ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
*/
tmp = EC_GROUP_get_curve_name(group);
if (tmp) {
- ret->type = 0;
- if ((ret->value.named_curve = OBJ_nid2obj(tmp)) == NULL)
+ ASN1_OBJECT *asn1obj = OBJ_nid2obj(tmp);
+
+ if (asn1obj == NULL || OBJ_length(asn1obj) == 0) {
+ ASN1_OBJECT_free(asn1obj);
+ ECerr(EC_F_EC_GROUP_GET_ECPKPARAMETERS, EC_R_MISSING_OID);
ok = 0;
+ } else {
+ ret->type = ECPKPARAMETERS_TYPE_NAMED;
+ ret->value.named_curve = asn1obj;
+ }
} else
/* we don't know the nid => ERROR */
ok = 0;
} else {
/* use the ECPARAMETERS structure */
- ret->type = 1;
+ ret->type = ECPKPARAMETERS_TYPE_EXPLICIT;
if ((ret->value.parameters =
EC_GROUP_get_ecparameters(group, NULL)) == NULL)
ok = 0;
@@ -846,6 +863,20 @@ EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params)
* serialized using explicit parameters by default.
*/
EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_EXPLICIT_CURVE);
+
+ /*
+ * If the input params do not contain the optional seed field we make
+ * sure it is not added to the returned group.
+ *
+ * The seed field is not really used inside libcrypto anyway, and
+ * adding it to parsed explicit parameter keys would alter their DER
+ * encoding output (because of the extra field) which could impact
+ * applications fingerprinting keys by their DER encoding.
+ */
+ if (params->curve->seed == NULL) {
+ if (EC_GROUP_set_seed(ret, NULL, 0) != 1)
+ goto err;
+ }
}
ok = 1;
@@ -877,7 +908,8 @@ EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params)
return NULL;
}
- if (params->type == 0) { /* the curve is given by an OID */
+ if (params->type == ECPKPARAMETERS_TYPE_NAMED) {
+ /* the curve is given by an OID */
tmp = OBJ_obj2nid(params->value.named_curve);
if ((ret = EC_GROUP_new_by_curve_name(tmp)) == NULL) {
ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS,
@@ -885,15 +917,16 @@ EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params)
return NULL;
}
EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_NAMED_CURVE);
- } else if (params->type == 1) { /* the parameters are given by a
- * ECPARAMETERS structure */
+ } else if (params->type == ECPKPARAMETERS_TYPE_EXPLICIT) {
+ /* the parameters are given by an ECPARAMETERS structure */
ret = EC_GROUP_new_from_ecparameters(params->value.parameters);
if (!ret) {
ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS, ERR_R_EC_LIB);
return NULL;
}
EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_EXPLICIT_CURVE);
- } else if (params->type == 2) { /* implicitlyCA */
+ } else if (params->type == ECPKPARAMETERS_TYPE_IMPLICIT) {
+ /* implicit parameters inherited from CA - unsupported */
return NULL;
} else {
ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS, EC_R_ASN1_ERROR);
@@ -923,6 +956,9 @@ EC_GROUP *d2i_ECPKParameters(EC_GROUP **a, const unsigned char **in, long len)
return NULL;
}
+ if (params->type == ECPKPARAMETERS_TYPE_EXPLICIT)
+ group->decoded_from_explicit_params = 1;
+
if (a) {
EC_GROUP_free(*a);
*a = group;
@@ -974,6 +1010,9 @@ EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len)
if (priv_key->parameters) {
EC_GROUP_free(ret->group);
ret->group = EC_GROUP_new_from_ecpkparameters(priv_key->parameters);
+ if (ret->group != NULL
+ && priv_key->parameters->type == ECPKPARAMETERS_TYPE_EXPLICIT)
+ ret->group->decoded_from_explicit_params = 1;
}
if (ret->group == NULL) {
@@ -1280,5 +1319,7 @@ int ECDSA_size(const EC_KEY *r)
i = i2d_ASN1_INTEGER(&bs, NULL);
i += i; /* r and s */
ret = ASN1_object_size(1, i, V_ASN1_SEQUENCE);
+ if (ret < 0)
+ return 0;
return ret;
}
diff --git a/crypto/ec/ec_check.c b/crypto/ec/ec_check.c
index eeb06ec1..d0706d28 100644
--- a/crypto/ec/ec_check.c
+++ b/crypto/ec/ec_check.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/err.h>
int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx)
diff --git a/crypto/ec/ec_curve.c b/crypto/ec/ec_curve.c
index 477349d4..8de486cb 100644
--- a/crypto/ec/ec_curve.c
+++ b/crypto/ec/ec_curve.c
@@ -9,7 +9,7 @@
*/
#include <string.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/opensslconf.h>
diff --git a/crypto/ec/ec_cvt.c b/crypto/ec/ec_cvt.c
index 0ec346c1..944e317d 100644
--- a/crypto/ec/ec_cvt.c
+++ b/crypto/ec/ec_cvt.c
@@ -9,7 +9,7 @@
*/
#include <openssl/err.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
diff --git a/crypto/ec/ec_err.c b/crypto/ec/ec_err.c
index ce349382..bfe74226 100644
--- a/crypto/ec/ec_err.c
+++ b/crypto/ec/ec_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -341,6 +341,7 @@ static const ERR_STRING_DATA EC_str_reasons[] = {
{ERR_PACK(ERR_LIB_EC, 0, EC_R_LADDER_POST_FAILURE), "ladder post failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_LADDER_PRE_FAILURE), "ladder pre failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_LADDER_STEP_FAILURE), "ladder step failure"},
+ {ERR_PACK(ERR_LIB_EC, 0, EC_R_MISSING_OID), "missing OID"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_MISSING_PARAMETERS), "missing parameters"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_MISSING_PRIVATE_KEY), "missing private key"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NEED_NEW_SETUP_VALUES),
diff --git a/crypto/ec/ec_key.c b/crypto/ec/ec_key.c
index 9349abf0..23efbd01 100644
--- a/crypto/ec/ec_key.c
+++ b/crypto/ec/ec_key.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -10,10 +10,11 @@
#include "internal/cryptlib.h"
#include <string.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include "internal/refcount.h"
#include <openssl/err.h>
#include <openssl/engine.h>
+#include "crypto/bn.h"
EC_KEY *EC_KEY_new(void)
{
@@ -416,17 +417,86 @@ const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key)
int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *priv_key)
{
+ int fixed_top;
+ const BIGNUM *order = NULL;
+ BIGNUM *tmp_key = NULL;
+
if (key->group == NULL || key->group->meth == NULL)
return 0;
+
+ /*
+ * Not only should key->group be set, but it should also be in a valid
+ * fully initialized state.
+ *
+ * Specifically, to operate in constant time, we need that the group order
+ * is set, as we use its length as the fixed public size of any scalar used
+ * as an EC private key.
+ */
+ order = EC_GROUP_get0_order(key->group);
+ if (order == NULL || BN_is_zero(order))
+ return 0; /* This should never happen */
+
if (key->group->meth->set_private != NULL
&& key->group->meth->set_private(key, priv_key) == 0)
return 0;
if (key->meth->set_private != NULL
&& key->meth->set_private(key, priv_key) == 0)
return 0;
+
+ /*
+ * We should never leak the bit length of the secret scalar in the key,
+ * so we always set the `BN_FLG_CONSTTIME` flag on the internal `BIGNUM`
+ * holding the secret scalar.
+ *
+ * This is important also because `BN_dup()` (and `BN_copy()`) do not
+ * propagate the `BN_FLG_CONSTTIME` flag from the source `BIGNUM`, and
+ * this brings an extra risk of inadvertently losing the flag, even when
+ * the caller specifically set it.
+ *
+ * The propagation has been turned on and off a few times in the past
+ * years because in some conditions has shown unintended consequences in
+ * some code paths, so at the moment we can't fix this in the BN layer.
+ *
+ * In `EC_KEY_set_private_key()` we can work around the propagation by
+ * manually setting the flag after `BN_dup()` as we know for sure that
+ * inside the EC module the `BN_FLG_CONSTTIME` is always treated
+ * correctly and should not generate unintended consequences.
+ *
+ * Setting the BN_FLG_CONSTTIME flag alone is never enough, we also have
+ * to preallocate the BIGNUM internal buffer to a fixed public size big
+ * enough that operations performed during the processing never trigger
+ * a realloc which would leak the size of the scalar through memory
+ * accesses.
+ *
+ * Fixed Length
+ * ------------
+ *
+ * The order of the large prime subgroup of the curve is our choice for
+ * a fixed public size, as that is generally the upper bound for
+ * generating a private key in EC cryptosystems and should fit all valid
+ * secret scalars.
+ *
+ * For preallocating the BIGNUM storage we look at the number of "words"
+ * required for the internal representation of the order, and we
+ * preallocate 2 extra "words" in case any of the subsequent processing
+ * might temporarily overflow the order length.
+ */
+ tmp_key = BN_dup(priv_key);
+ if (tmp_key == NULL)
+ return 0;
+
+ BN_set_flags(tmp_key, BN_FLG_CONSTTIME);
+
+ fixed_top = bn_get_top(order) + 2;
+ if (bn_wexpand(tmp_key, fixed_top) == NULL) {
+ BN_clear_free(tmp_key);
+ return 0;
+ }
+
BN_clear_free(key->priv_key);
- key->priv_key = BN_dup(priv_key);
- return (key->priv_key == NULL) ? 0 : 1;
+ key->priv_key = tmp_key;
+
+ return 1;
}
const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key)
@@ -494,6 +564,13 @@ void EC_KEY_clear_flags(EC_KEY *key, int flags)
key->flags &= ~flags;
}
+int EC_KEY_decoded_from_explicit_params(const EC_KEY *key)
+{
+ if (key == NULL || key->group == NULL)
+ return -1;
+ return key->group->decoded_from_explicit_params;
+}
+
size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
unsigned char **pbuf, BN_CTX *ctx)
{
diff --git a/crypto/ec/ec_kmeth.c b/crypto/ec/ec_kmeth.c
index 64a5d208..53a4a929 100644
--- a/crypto/ec/ec_kmeth.c
+++ b/crypto/ec/ec_kmeth.c
@@ -11,7 +11,7 @@
#include <openssl/ec.h>
#include <openssl/engine.h>
#include <openssl/err.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
static const EC_KEY_METHOD openssl_ec_key_method = {
diff --git a/crypto/ec/ec_lib.c b/crypto/ec/ec_lib.c
index 1289c860..08db89fc 100644
--- a/crypto/ec/ec_lib.c
+++ b/crypto/ec/ec_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -13,7 +13,7 @@
#include <openssl/err.h>
#include <openssl/opensslv.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
/* functions for EC_GROUP objects */
@@ -211,6 +211,7 @@ int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
dest->asn1_flag = src->asn1_flag;
dest->asn1_form = src->asn1_form;
+ dest->decoded_from_explicit_params = src->decoded_from_explicit_params;
if (src->seed) {
OPENSSL_free(dest->seed);
@@ -1007,14 +1008,14 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t i = 0;
BN_CTX *new_ctx = NULL;
- if ((scalar == NULL) && (num == 0)) {
- return EC_POINT_set_to_infinity(group, r);
- }
-
if (!ec_point_is_compat(r, group)) {
ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
+
+ if (scalar == NULL && num == 0)
+ return EC_POINT_set_to_infinity(group, r);
+
for (i = 0; i < num; i++) {
if (!ec_point_is_compat(points[i], group)) {
ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_local.h
similarity index 99%
rename from crypto/ec/ec_lcl.h
rename to crypto/ec/ec_local.h
index fbdb04ea..64725a9c 100644
--- a/crypto/ec/ec_lcl.h
+++ b/crypto/ec/ec_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -14,7 +14,7 @@
#include <openssl/ec.h>
#include <openssl/bn.h>
#include "internal/refcount.h"
-#include "internal/ec_int.h"
+#include "crypto/ec.h"
#if defined(__SUNPRO_C)
# if __SUNPRO_C >= 0x520
@@ -209,6 +209,8 @@ struct ec_group_st {
BIGNUM *order, *cofactor;
int curve_name; /* optional NID for named curve */
int asn1_flag; /* flag to control the asn1 encoding */
+ int decoded_from_explicit_params; /* set if decoded from explicit
+ * curve parameters encoding */
point_conversion_form_t asn1_form;
unsigned char *seed; /* optional seed for parameters (appears in
* ASN1) */
diff --git a/crypto/ec/ec_mult.c b/crypto/ec/ec_mult.c
index 57bdf116..9a1e3974 100644
--- a/crypto/ec/ec_mult.c
+++ b/crypto/ec/ec_mult.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -12,8 +12,8 @@
#include <openssl/err.h>
#include "internal/cryptlib.h"
-#include "internal/bn_int.h"
-#include "ec_lcl.h"
+#include "crypto/bn.h"
+#include "ec_local.h"
#include "internal/refcount.h"
/*
@@ -260,17 +260,10 @@ int ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r,
goto err;
}
- /*-
- * Apply coordinate blinding for EC_POINT.
- *
- * The underlying EC_METHOD can optionally implement this function:
- * ec_point_blind_coordinates() returns 0 in case of errors or 1 on
- * success or if coordinate blinding is not implemented for this
- * group.
- */
- if (!ec_point_blind_coordinates(group, p, ctx)) {
- ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_POINT_COORDINATES_BLIND_FAILURE);
- goto err;
+ /* ensure input point is in affine coords for ladder step efficiency */
+ if (!p->Z_is_one && !EC_POINT_make_affine(group, p, ctx)) {
+ ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_EC_LIB);
+ goto err;
}
/* Initialize the Montgomery ladder */
@@ -747,6 +740,20 @@ int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
if (r_is_at_infinity) {
if (!EC_POINT_copy(r, val_sub[i][digit >> 1]))
goto err;
+
+ /*-
+ * Apply coordinate blinding for EC_POINT.
+ *
+ * The underlying EC_METHOD can optionally implement this function:
+ * ec_point_blind_coordinates() returns 0 in case of errors or 1 on
+ * success or if coordinate blinding is not implemented for this
+ * group.
+ */
+ if (!ec_point_blind_coordinates(group, r, ctx)) {
+ ECerr(EC_F_EC_WNAF_MUL, EC_R_POINT_COORDINATES_BLIND_FAILURE);
+ goto err;
+ }
+
r_is_at_infinity = 0;
} else {
if (!EC_POINT_add
diff --git a/crypto/ec/ec_oct.c b/crypto/ec/ec_oct.c
index 522f79e6..7ddc86b0 100644
--- a/crypto/ec/ec_oct.c
+++ b/crypto/ec/ec_oct.c
@@ -13,7 +13,7 @@
#include <openssl/err.h>
#include <openssl/opensslv.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, int y_bit, BN_CTX *ctx)
diff --git a/crypto/ec/ec_pmeth.c b/crypto/ec/ec_pmeth.c
index 454be16c..64d2cc93 100644
--- a/crypto/ec/ec_pmeth.c
+++ b/crypto/ec/ec_pmeth.c
@@ -12,9 +12,9 @@
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/ec.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/evp.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/* EC pkey context structure */
diff --git a/crypto/ec/ec_print.c b/crypto/ec/ec_print.c
index 027a5192..660fc400 100644
--- a/crypto/ec/ec_print.c
+++ b/crypto/ec/ec_print.c
@@ -9,7 +9,7 @@
#include <openssl/crypto.h>
#include <openssl/err.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
BIGNUM *EC_POINT_point2bn(const EC_GROUP *group,
const EC_POINT *point,
@@ -39,13 +39,13 @@ EC_POINT *EC_POINT_bn2point(const EC_GROUP *group,
EC_POINT *ret;
if ((buf_len = BN_num_bytes(bn)) == 0)
- return NULL;
+ buf_len = 1;
if ((buf = OPENSSL_malloc(buf_len)) == NULL) {
ECerr(EC_F_EC_POINT_BN2POINT, ERR_R_MALLOC_FAILURE);
return NULL;
}
- if (!BN_bn2bin(bn, buf)) {
+ if (!BN_bn2binpad(bn, buf, buf_len)) {
OPENSSL_free(buf);
return NULL;
}
diff --git a/crypto/ec/ecdh_kdf.c b/crypto/ec/ecdh_kdf.c
index d686f9d8..96efac62 100644
--- a/crypto/ec/ecdh_kdf.c
+++ b/crypto/ec/ecdh_kdf.c
@@ -10,7 +10,7 @@
#include <string.h>
#include <openssl/ec.h>
#include <openssl/evp.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
/* Key derivation function from X9.63/SECG */
/* Way more than we will ever need */
diff --git a/crypto/ec/ecdh_ossl.c b/crypto/ec/ecdh_ossl.c
index ab51ee71..0be00d43 100644
--- a/crypto/ec/ecdh_ossl.c
+++ b/crypto/ec/ecdh_ossl.c
@@ -17,7 +17,7 @@
#include <openssl/bn.h>
#include <openssl/objects.h>
#include <openssl/ec.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
int ossl_ecdh_compute_key(unsigned char **psec, size_t *pseclen,
const EC_POINT *pub_key, const EC_KEY *ecdh)
diff --git a/crypto/ec/ecdsa_ossl.c b/crypto/ec/ecdsa_ossl.c
index c35ed2dc..1da87bfb 100644
--- a/crypto/ec/ecdsa_ossl.c
+++ b/crypto/ec/ecdsa_ossl.c
@@ -11,8 +11,8 @@
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/rand.h>
-#include "internal/bn_int.h"
-#include "ec_lcl.h"
+#include "crypto/bn.h"
+#include "ec_local.h"
int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
unsigned char *sig, unsigned int *siglen,
@@ -309,7 +309,7 @@ int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
goto err;
ret = ECDSA_do_verify(dgst, dgst_len, s, eckey);
err:
- OPENSSL_clear_free(der, derlen);
+ OPENSSL_free(der);
ECDSA_SIG_free(s);
return ret;
}
diff --git a/crypto/ec/ecdsa_sign.c b/crypto/ec/ecdsa_sign.c
index aee06e99..dc79c8c8 100644
--- a/crypto/ec/ecdsa_sign.c
+++ b/crypto/ec/ecdsa_sign.c
@@ -8,7 +8,7 @@
*/
#include <openssl/ec.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/err.h>
ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dlen, EC_KEY *eckey)
diff --git a/crypto/ec/ecdsa_vrf.c b/crypto/ec/ecdsa_vrf.c
index f61a2006..ff597bdc 100644
--- a/crypto/ec/ecdsa_vrf.c
+++ b/crypto/ec/ecdsa_vrf.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include <openssl/ec.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/err.h>
/*-
@@ -23,7 +23,7 @@ int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
if (eckey->meth->verify_sig != NULL)
return eckey->meth->verify_sig(dgst, dgst_len, sig, eckey);
ECerr(EC_F_ECDSA_DO_VERIFY, EC_R_OPERATION_NOT_SUPPORTED);
- return 0;
+ return -1;
}
/*-
@@ -39,5 +39,5 @@ int ECDSA_verify(int type, const unsigned char *dgst, int dgst_len,
return eckey->meth->verify(type, dgst, dgst_len, sigbuf, sig_len,
eckey);
ECerr(EC_F_ECDSA_VERIFY, EC_R_OPERATION_NOT_SUPPORTED);
- return 0;
+ return -1;
}
diff --git a/crypto/ec/ecp_mont.c b/crypto/ec/ecp_mont.c
index 252e66ef..bdc39d5e 100644
--- a/crypto/ec/ecp_mont.c
+++ b/crypto/ec/ecp_mont.c
@@ -10,7 +10,7 @@
#include <openssl/err.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
const EC_METHOD *EC_GFp_mont_method(void)
{
diff --git a/crypto/ec/ecp_nist.c b/crypto/ec/ecp_nist.c
index 5eaa99d8..9fd01279 100644
--- a/crypto/ec/ecp_nist.c
+++ b/crypto/ec/ecp_nist.c
@@ -12,7 +12,7 @@
#include <openssl/err.h>
#include <openssl/obj_mac.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
const EC_METHOD *EC_GFp_nist_method(void)
{
diff --git a/crypto/ec/ecp_nistp224.c b/crypto/ec/ecp_nistp224.c
index fbbdb9d9..6f7d66c8 100644
--- a/crypto/ec/ecp_nistp224.c
+++ b/crypto/ec/ecp_nistp224.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2010-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -38,7 +38,7 @@ NON_EMPTY_TRANSLATION_UNIT
# include <stdint.h>
# include <string.h>
# include <openssl/err.h>
-# include "ec_lcl.h"
+# include "ec_local.h"
# if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16
/* even with gcc, the typedef won't work for 32-bit platforms */
@@ -72,6 +72,7 @@ typedef uint64_t u64;
*/
typedef uint64_t limb;
+typedef uint64_t limb_aX __attribute((__aligned__(1)));
typedef uint128_t widelimb;
typedef limb felem[4];
@@ -307,10 +308,10 @@ const EC_METHOD *EC_GFp_nistp224_method(void)
*/
static void bin28_to_felem(felem out, const u8 in[28])
{
- out[0] = *((const uint64_t *)(in)) & 0x00ffffffffffffff;
- out[1] = (*((const uint64_t *)(in + 7))) & 0x00ffffffffffffff;
- out[2] = (*((const uint64_t *)(in + 14))) & 0x00ffffffffffffff;
- out[3] = (*((const uint64_t *)(in+20))) >> 8;
+ out[0] = *((const limb *)(in)) & 0x00ffffffffffffff;
+ out[1] = (*((const limb_aX *)(in + 7))) & 0x00ffffffffffffff;
+ out[2] = (*((const limb_aX *)(in + 14))) & 0x00ffffffffffffff;
+ out[3] = (*((const limb_aX *)(in + 20))) >> 8;
}
static void felem_to_bin28(u8 out[28], const felem in)
@@ -907,6 +908,7 @@ static void point_add(felem x3, felem y3, felem z3,
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, x_out, y_out, z_out;
widefelem tmp, tmp2;
limb z1_is_zero, z2_is_zero, x_equal, y_equal;
+ limb points_equal;
if (!mixed) {
/* ftmp2 = z2^2 */
@@ -963,15 +965,41 @@ static void point_add(felem x3, felem y3, felem z3,
felem_reduce(ftmp, tmp);
/*
- * the formulae are incorrect if the points are equal so we check for
- * this and do doubling if this happens
+ * The formulae are incorrect if the points are equal, in affine coordinates
+ * (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
+ * happens.
+ *
+ * We use bitwise operations to avoid potential side-channels introduced by
+ * the short-circuiting behaviour of boolean operators.
*/
x_equal = felem_is_zero(ftmp);
y_equal = felem_is_zero(ftmp3);
+ /*
+ * The special case of either point being the point at infinity (z1 and/or
+ * z2 are zero), is handled separately later on in this function, so we
+ * avoid jumping to point_double here in those special cases.
+ */
z1_is_zero = felem_is_zero(z1);
z2_is_zero = felem_is_zero(z2);
- /* In affine coordinates, (X_1, Y_1) == (X_2, Y_2) */
- if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) {
+
+ /*
+ * Compared to `ecp_nistp256.c` and `ecp_nistp521.c`, in this
+ * specific implementation `felem_is_zero()` returns truth as `0x1`
+ * (rather than `0xff..ff`).
+ *
+ * This implies that `~true` in this implementation becomes
+ * `0xff..fe` (rather than `0x0`): for this reason, to be used in
+ * the if expression, we mask out only the last bit in the next
+ * line.
+ */
+ points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero)) & 1;
+
+ if (points_equal) {
+ /*
+ * This is obviously not constant-time but, as mentioned before, this
+ * case never happens during single point multiplication, so there is no
+ * timing leak for ECDH or ECDSA signing.
+ */
point_double(x3, y3, z3, x1, y1, z1);
return;
}
diff --git a/crypto/ec/ecp_nistp256.c b/crypto/ec/ecp_nistp256.c
index 22ba69aa..e23e9d2a 100644
--- a/crypto/ec/ecp_nistp256.c
+++ b/crypto/ec/ecp_nistp256.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -39,7 +39,7 @@ NON_EMPTY_TRANSLATION_UNIT
# include <stdint.h>
# include <string.h>
# include <openssl/err.h>
-# include "ec_lcl.h"
+# include "ec_local.h"
# if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16
/* even with gcc, the typedef won't work for 32-bit platforms */
@@ -74,8 +74,8 @@ static const felem_bytearray nistp256_curve_params[5] = {
{0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* a = -3 */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc}, /* b */
- {0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc},
+ {0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, /* b */
0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc,
0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6,
0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b},
@@ -1241,6 +1241,7 @@ static void point_add(felem x3, felem y3, felem z3,
longfelem tmp, tmp2;
smallfelem small1, small2, small3, small4, small5;
limb x_equal, y_equal, z1_is_zero, z2_is_zero;
+ limb points_equal;
felem_shrink(small3, z1);
@@ -1340,7 +1341,26 @@ static void point_add(felem x3, felem y3, felem z3,
felem_shrink(small1, ftmp5);
y_equal = smallfelem_is_zero(small1);
- if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) {
+ /*
+ * The formulae are incorrect if the points are equal, in affine coordinates
+ * (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
+ * happens.
+ *
+ * We use bitwise operations to avoid potential side-channels introduced by
+ * the short-circuiting behaviour of boolean operators.
+ *
+ * The special case of either point being the point at infinity (z1 and/or
+ * z2 are zero), is handled separately later on in this function, so we
+ * avoid jumping to point_double here in those special cases.
+ */
+ points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero));
+
+ if (points_equal) {
+ /*
+ * This is obviously not constant-time but, as mentioned before, this
+ * case never happens during single point multiplication, so there is no
+ * timing leak for ECDH or ECDSA signing.
+ */
point_double(x3, y3, z3, x1, y1, z1);
return;
}
diff --git a/crypto/ec/ecp_nistp521.c b/crypto/ec/ecp_nistp521.c
index 6340f482..08b32787 100644
--- a/crypto/ec/ecp_nistp521.c
+++ b/crypto/ec/ecp_nistp521.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -38,7 +38,7 @@ NON_EMPTY_TRANSLATION_UNIT
# include <string.h>
# include <openssl/err.h>
-# include "ec_lcl.h"
+# include "ec_local.h"
# if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16
/* even with gcc, the typedef won't work for 32-bit platforms */
@@ -128,6 +128,7 @@ static const felem_bytearray nistp521_curve_params[5] = {
# define NLIMBS 9
typedef uint64_t limb;
+typedef limb limb_aX __attribute((__aligned__(1)));
typedef limb felem[NLIMBS];
typedef uint128_t largefelem[NLIMBS];
@@ -141,14 +142,14 @@ static const limb bottom58bits = 0x3ffffffffffffff;
static void bin66_to_felem(felem out, const u8 in[66])
{
out[0] = (*((limb *) & in[0])) & bottom58bits;
- out[1] = (*((limb *) & in[7]) >> 2) & bottom58bits;
- out[2] = (*((limb *) & in[14]) >> 4) & bottom58bits;
- out[3] = (*((limb *) & in[21]) >> 6) & bottom58bits;
- out[4] = (*((limb *) & in[29])) & bottom58bits;
- out[5] = (*((limb *) & in[36]) >> 2) & bottom58bits;
- out[6] = (*((limb *) & in[43]) >> 4) & bottom58bits;
- out[7] = (*((limb *) & in[50]) >> 6) & bottom58bits;
- out[8] = (*((limb *) & in[58])) & bottom57bits;
+ out[1] = (*((limb_aX *) & in[7]) >> 2) & bottom58bits;
+ out[2] = (*((limb_aX *) & in[14]) >> 4) & bottom58bits;
+ out[3] = (*((limb_aX *) & in[21]) >> 6) & bottom58bits;
+ out[4] = (*((limb_aX *) & in[29])) & bottom58bits;
+ out[5] = (*((limb_aX *) & in[36]) >> 2) & bottom58bits;
+ out[6] = (*((limb_aX *) & in[43]) >> 4) & bottom58bits;
+ out[7] = (*((limb_aX *) & in[50]) >> 6) & bottom58bits;
+ out[8] = (*((limb_aX *) & in[58])) & bottom57bits;
}
/*
@@ -159,14 +160,14 @@ static void felem_to_bin66(u8 out[66], const felem in)
{
memset(out, 0, 66);
(*((limb *) & out[0])) = in[0];
- (*((limb *) & out[7])) |= in[1] << 2;
- (*((limb *) & out[14])) |= in[2] << 4;
- (*((limb *) & out[21])) |= in[3] << 6;
- (*((limb *) & out[29])) = in[4];
- (*((limb *) & out[36])) |= in[5] << 2;
- (*((limb *) & out[43])) |= in[6] << 4;
- (*((limb *) & out[50])) |= in[7] << 6;
- (*((limb *) & out[58])) = in[8];
+ (*((limb_aX *) & out[7])) |= in[1] << 2;
+ (*((limb_aX *) & out[14])) |= in[2] << 4;
+ (*((limb_aX *) & out[21])) |= in[3] << 6;
+ (*((limb_aX *) & out[29])) = in[4];
+ (*((limb_aX *) & out[36])) |= in[5] << 2;
+ (*((limb_aX *) & out[43])) |= in[6] << 4;
+ (*((limb_aX *) & out[50])) |= in[7] << 6;
+ (*((limb_aX *) & out[58])) = in[8];
}
/* BN_to_felem converts an OpenSSL BIGNUM into an felem */
@@ -1158,6 +1159,7 @@ static void point_add(felem x3, felem y3, felem z3,
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out;
largefelem tmp, tmp2;
limb x_equal, y_equal, z1_is_zero, z2_is_zero;
+ limb points_equal;
z1_is_zero = felem_is_zero(z1);
z2_is_zero = felem_is_zero(z2);
@@ -1242,7 +1244,24 @@ static void point_add(felem x3, felem y3, felem z3,
felem_scalar64(ftmp5, 2);
/* ftmp5[i] < 2^61 */
- if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) {
+ /*
+ * The formulae are incorrect if the points are equal, in affine coordinates
+ * (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
+ * happens.
+ *
+ * We use bitwise operations to avoid potential side-channels introduced by
+ * the short-circuiting behaviour of boolean operators.
+ *
+ * The special case of either point being the point at infinity (z1 and/or
+ * z2 are zero), is handled separately later on in this function, so we
+ * avoid jumping to point_double here in those special cases.
+ *
+ * Notice the comment below on the implications of this branching for timing
+ * leaks and why it is considered practically irrelevant.
+ */
+ points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero));
+
+ if (points_equal) {
/*
* This is obviously not constant-time but it will almost-never happen
* for ECDH / ECDSA. The case where it can happen is during scalar-mult
diff --git a/crypto/ec/ecp_nistputil.c b/crypto/ec/ecp_nistputil.c
index f89a2f0a..60e1325c 100644
--- a/crypto/ec/ecp_nistputil.c
+++ b/crypto/ec/ecp_nistputil.c
@@ -33,7 +33,7 @@ NON_EMPTY_TRANSLATION_UNIT
*/
# include <stddef.h>
-# include "ec_lcl.h"
+# include "ec_local.h"
/*
* Convert an array of points into affine coordinates. (If the point at
diff --git a/crypto/ec/ecp_nistz256.c b/crypto/ec/ecp_nistz256.c
index 7ad5eb62..5005249b 100644
--- a/crypto/ec/ecp_nistz256.c
+++ b/crypto/ec/ecp_nistz256.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2014-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2014, Intel Corporation. All Rights Reserved.
* Copyright (c) 2015, CloudFlare, Inc.
*
@@ -21,8 +21,8 @@
#include <string.h>
#include "internal/cryptlib.h"
-#include "internal/bn_int.h"
-#include "ec_lcl.h"
+#include "crypto/bn.h"
+#include "ec_local.h"
#include "internal/refcount.h"
#if BN_BITS2 != 64
@@ -358,16 +358,47 @@ static void ecp_nistz256_point_add(P256_POINT *r,
ecp_nistz256_sub(H, U2, U1); /* H = U2 - U1 */
/*
- * This should not happen during sign/ecdh, so no constant time violation
+ * The formulae are incorrect if the points are equal so we check for
+ * this and do doubling if this happens.
+ *
+ * Points here are in Jacobian projective coordinates (Xi, Yi, Zi)
+ * that are bound to the affine coordinates (xi, yi) by the following
+ * equations:
+ * - xi = Xi / (Zi)^2
+ * - y1 = Yi / (Zi)^3
+ *
+ * For the sake of optimization, the algorithm operates over
+ * intermediate variables U1, U2 and S1, S2 that are derived from
+ * the projective coordinates:
+ * - U1 = X1 * (Z2)^2 ; U2 = X2 * (Z1)^2
+ * - S1 = Y1 * (Z2)^3 ; S2 = Y2 * (Z1)^3
+ *
+ * It is easy to prove that is_equal(U1, U2) implies that the affine
+ * x-coordinates are equal, or either point is at infinity.
+ * Likewise is_equal(S1, S2) implies that the affine y-coordinates are
+ * equal, or either point is at infinity.
+ *
+ * The special case of either point being the point at infinity (Z1 or Z2
+ * is zero), is handled separately later on in this function, so we avoid
+ * jumping to point_double here in those special cases.
+ *
+ * When both points are inverse of each other, we know that the affine
+ * x-coordinates are equal, and the y-coordinates have different sign.
+ * Therefore since U1 = U2, we know H = 0, and therefore Z3 = H*Z1*Z2
+ * will equal 0, thus the result is infinity, if we simply let this
+ * function continue normally.
+ *
+ * We use bitwise operations to avoid potential side-channels introduced by
+ * the short-circuiting behaviour of boolean operators.
*/
- if (is_equal(U1, U2) && !in1infty && !in2infty) {
- if (is_equal(S1, S2)) {
- ecp_nistz256_point_double(r, a);
- return;
- } else {
- memset(r, 0, sizeof(*r));
- return;
- }
+ if (is_equal(U1, U2) & ~in1infty & ~in2infty & is_equal(S1, S2)) {
+ /*
+ * This is obviously not constant-time but it should never happen during
+ * single point multiplication, so there is no timing leak for ECDH or
+ * ECDSA signing.
+ */
+ ecp_nistz256_point_double(r, a);
+ return;
}
ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */
@@ -898,207 +929,6 @@ __owur static int ecp_nistz256_mult_precompute(EC_GROUP *group, BN_CTX *ctx)
return ret;
}
-/*
- * Note that by default ECP_NISTZ256_AVX2 is undefined. While it's great
- * code processing 4 points in parallel, corresponding serial operation
- * is several times slower, because it uses 29x29=58-bit multiplication
- * as opposite to 64x64=128-bit in integer-only scalar case. As result
- * it doesn't provide *significant* performance improvement. Note that
- * just defining ECP_NISTZ256_AVX2 is not sufficient to make it work,
- * you'd need to compile even asm/ecp_nistz256-avx.pl module.
- */
-#if defined(ECP_NISTZ256_AVX2)
-# if !(defined(__x86_64) || defined(__x86_64__) || \
- defined(_M_AMD64) || defined(_M_X64)) || \
- !(defined(__GNUC__) || defined(_MSC_VER)) /* this is for ALIGN32 */
-# undef ECP_NISTZ256_AVX2
-# else
-/* Constant time access, loading four values, from four consecutive tables */
-void ecp_nistz256_avx2_multi_gather_w7(void *result, const void *in,
- int index0, int index1, int index2,
- int index3);
-void ecp_nistz256_avx2_transpose_convert(void *RESULTx4, const void *in);
-void ecp_nistz256_avx2_convert_transpose_back(void *result, const void *Ax4);
-void ecp_nistz256_avx2_point_add_affine_x4(void *RESULTx4, const void *Ax4,
- const void *Bx4);
-void ecp_nistz256_avx2_point_add_affines_x4(void *RESULTx4, const void *Ax4,
- const void *Bx4);
-void ecp_nistz256_avx2_to_mont(void *RESULTx4, const void *Ax4);
-void ecp_nistz256_avx2_from_mont(void *RESULTx4, const void *Ax4);
-void ecp_nistz256_avx2_set1(void *RESULTx4);
-int ecp_nistz_avx2_eligible(void);
-
-static void booth_recode_w7(unsigned char *sign,
- unsigned char *digit, unsigned char in)
-{
- unsigned char s, d;
-
- s = ~((in >> 7) - 1);
- d = (1 << 8) - in - 1;
- d = (d & s) | (in & ~s);
- d = (d >> 1) + (d & 1);
-
- *sign = s & 1;
- *digit = d;
-}
-
-/*
- * ecp_nistz256_avx2_mul_g performs multiplication by G, using only the
- * precomputed table. It does 4 affine point additions in parallel,
- * significantly speeding up point multiplication for a fixed value.
- */
-static void ecp_nistz256_avx2_mul_g(P256_POINT *r,
- unsigned char p_str[33],
- const P256_POINT_AFFINE(*preComputedTable)[64])
-{
- const unsigned int window_size = 7;
- const unsigned int mask = (1 << (window_size + 1)) - 1;
- unsigned int wvalue;
- /* Using 4 windows at a time */
- unsigned char sign0, digit0;
- unsigned char sign1, digit1;
- unsigned char sign2, digit2;
- unsigned char sign3, digit3;
- unsigned int idx = 0;
- BN_ULONG tmp[P256_LIMBS];
- int i;
-
- ALIGN32 BN_ULONG aX4[4 * 9 * 3] = { 0 };
- ALIGN32 BN_ULONG bX4[4 * 9 * 2] = { 0 };
- ALIGN32 P256_POINT_AFFINE point_arr[4];
- ALIGN32 P256_POINT res_point_arr[4];
-
- /* Initial four windows */
- wvalue = *((u16 *) & p_str[0]);
- wvalue = (wvalue << 1) & mask;
- idx += window_size;
- booth_recode_w7(&sign0, &digit0, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign1, &digit1, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign2, &digit2, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign3, &digit3, wvalue);
-
- ecp_nistz256_avx2_multi_gather_w7(point_arr, preComputedTable[0],
- digit0, digit1, digit2, digit3);
-
- ecp_nistz256_neg(tmp, point_arr[0].Y);
- copy_conditional(point_arr[0].Y, tmp, sign0);
- ecp_nistz256_neg(tmp, point_arr[1].Y);
- copy_conditional(point_arr[1].Y, tmp, sign1);
- ecp_nistz256_neg(tmp, point_arr[2].Y);
- copy_conditional(point_arr[2].Y, tmp, sign2);
- ecp_nistz256_neg(tmp, point_arr[3].Y);
- copy_conditional(point_arr[3].Y, tmp, sign3);
-
- ecp_nistz256_avx2_transpose_convert(aX4, point_arr);
- ecp_nistz256_avx2_to_mont(aX4, aX4);
- ecp_nistz256_avx2_to_mont(&aX4[4 * 9], &aX4[4 * 9]);
- ecp_nistz256_avx2_set1(&aX4[4 * 9 * 2]);
-
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign0, &digit0, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign1, &digit1, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign2, &digit2, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign3, &digit3, wvalue);
-
- ecp_nistz256_avx2_multi_gather_w7(point_arr, preComputedTable[4 * 1],
- digit0, digit1, digit2, digit3);
-
- ecp_nistz256_neg(tmp, point_arr[0].Y);
- copy_conditional(point_arr[0].Y, tmp, sign0);
- ecp_nistz256_neg(tmp, point_arr[1].Y);
- copy_conditional(point_arr[1].Y, tmp, sign1);
- ecp_nistz256_neg(tmp, point_arr[2].Y);
- copy_conditional(point_arr[2].Y, tmp, sign2);
- ecp_nistz256_neg(tmp, point_arr[3].Y);
- copy_conditional(point_arr[3].Y, tmp, sign3);
-
- ecp_nistz256_avx2_transpose_convert(bX4, point_arr);
- ecp_nistz256_avx2_to_mont(bX4, bX4);
- ecp_nistz256_avx2_to_mont(&bX4[4 * 9], &bX4[4 * 9]);
- /* Optimized when both inputs are affine */
- ecp_nistz256_avx2_point_add_affines_x4(aX4, aX4, bX4);
-
- for (i = 2; i < 9; i++) {
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign0, &digit0, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign1, &digit1, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign2, &digit2, wvalue);
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
- booth_recode_w7(&sign3, &digit3, wvalue);
-
- ecp_nistz256_avx2_multi_gather_w7(point_arr,
- preComputedTable[4 * i],
- digit0, digit1, digit2, digit3);
-
- ecp_nistz256_neg(tmp, point_arr[0].Y);
- copy_conditional(point_arr[0].Y, tmp, sign0);
- ecp_nistz256_neg(tmp, point_arr[1].Y);
- copy_conditional(point_arr[1].Y, tmp, sign1);
- ecp_nistz256_neg(tmp, point_arr[2].Y);
- copy_conditional(point_arr[2].Y, tmp, sign2);
- ecp_nistz256_neg(tmp, point_arr[3].Y);
- copy_conditional(point_arr[3].Y, tmp, sign3);
-
- ecp_nistz256_avx2_transpose_convert(bX4, point_arr);
- ecp_nistz256_avx2_to_mont(bX4, bX4);
- ecp_nistz256_avx2_to_mont(&bX4[4 * 9], &bX4[4 * 9]);
-
- ecp_nistz256_avx2_point_add_affine_x4(aX4, aX4, bX4);
- }
-
- ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 0], &aX4[4 * 9 * 0]);
- ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 1], &aX4[4 * 9 * 1]);
- ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 2], &aX4[4 * 9 * 2]);
-
- ecp_nistz256_avx2_convert_transpose_back(res_point_arr, aX4);
- /* Last window is performed serially */
- wvalue = *((u16 *) & p_str[(idx - 1) / 8]);
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- booth_recode_w7(&sign0, &digit0, wvalue);
- ecp_nistz256_gather_w7((P256_POINT_AFFINE *)r,
- preComputedTable[36], digit0);
- ecp_nistz256_neg(tmp, r->Y);
- copy_conditional(r->Y, tmp, sign0);
- memcpy(r->Z, ONE, sizeof(ONE));
- /* Sum the four windows */
- ecp_nistz256_point_add(r, r, &res_point_arr[0]);
- ecp_nistz256_point_add(r, r, &res_point_arr[1]);
- ecp_nistz256_point_add(r, r, &res_point_arr[2]);
- ecp_nistz256_point_add(r, r, &res_point_arr[3]);
-}
-# endif
-#endif
-
__owur static int ecp_nistz256_set_from_affine(EC_POINT *out, const EC_GROUP *group,
const P256_POINT_AFFINE *in,
BN_CTX *ctx)
@@ -1188,6 +1018,8 @@ __owur static int ecp_nistz256_points_mul(const EC_GROUP *group,
}
if (preComputedTable) {
+ BN_ULONG infty;
+
if ((BN_num_bits(scalar) > 256)
|| BN_is_negative(scalar)) {
if ((tmp_scalar = BN_CTX_get(ctx)) == NULL)
@@ -1219,67 +1051,58 @@ __owur static int ecp_nistz256_points_mul(const EC_GROUP *group,
for (; i < 33; i++)
p_str[i] = 0;
-#if defined(ECP_NISTZ256_AVX2)
- if (ecp_nistz_avx2_eligible()) {
- ecp_nistz256_avx2_mul_g(&p.p, p_str, preComputedTable);
- } else
-#endif
- {
- BN_ULONG infty;
+ /* First window */
+ wvalue = (p_str[0] << 1) & mask;
+ idx += window_size;
- /* First window */
- wvalue = (p_str[0] << 1) & mask;
- idx += window_size;
+ wvalue = _booth_recode_w7(wvalue);
- wvalue = _booth_recode_w7(wvalue);
+ ecp_nistz256_gather_w7(&p.a, preComputedTable[0],
+ wvalue >> 1);
- ecp_nistz256_gather_w7(&p.a, preComputedTable[0],
- wvalue >> 1);
-
- ecp_nistz256_neg(p.p.Z, p.p.Y);
- copy_conditional(p.p.Y, p.p.Z, wvalue & 1);
-
- /*
- * Since affine infinity is encoded as (0,0) and
- * Jacobian ias (,,0), we need to harmonize them
- * by assigning "one" or zero to Z.
- */
- infty = (p.p.X[0] | p.p.X[1] | p.p.X[2] | p.p.X[3] |
- p.p.Y[0] | p.p.Y[1] | p.p.Y[2] | p.p.Y[3]);
- if (P256_LIMBS == 8)
- infty |= (p.p.X[4] | p.p.X[5] | p.p.X[6] | p.p.X[7] |
- p.p.Y[4] | p.p.Y[5] | p.p.Y[6] | p.p.Y[7]);
-
- infty = 0 - is_zero(infty);
- infty = ~infty;
-
- p.p.Z[0] = ONE[0] & infty;
- p.p.Z[1] = ONE[1] & infty;
- p.p.Z[2] = ONE[2] & infty;
- p.p.Z[3] = ONE[3] & infty;
- if (P256_LIMBS == 8) {
- p.p.Z[4] = ONE[4] & infty;
- p.p.Z[5] = ONE[5] & infty;
- p.p.Z[6] = ONE[6] & infty;
- p.p.Z[7] = ONE[7] & infty;
- }
+ ecp_nistz256_neg(p.p.Z, p.p.Y);
+ copy_conditional(p.p.Y, p.p.Z, wvalue & 1);
- for (i = 1; i < 37; i++) {
- unsigned int off = (idx - 1) / 8;
- wvalue = p_str[off] | p_str[off + 1] << 8;
- wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
- idx += window_size;
+ /*
+ * Since affine infinity is encoded as (0,0) and
+ * Jacobian is (,,0), we need to harmonize them
+ * by assigning "one" or zero to Z.
+ */
+ infty = (p.p.X[0] | p.p.X[1] | p.p.X[2] | p.p.X[3] |
+ p.p.Y[0] | p.p.Y[1] | p.p.Y[2] | p.p.Y[3]);
+ if (P256_LIMBS == 8)
+ infty |= (p.p.X[4] | p.p.X[5] | p.p.X[6] | p.p.X[7] |
+ p.p.Y[4] | p.p.Y[5] | p.p.Y[6] | p.p.Y[7]);
+
+ infty = 0 - is_zero(infty);
+ infty = ~infty;
+
+ p.p.Z[0] = ONE[0] & infty;
+ p.p.Z[1] = ONE[1] & infty;
+ p.p.Z[2] = ONE[2] & infty;
+ p.p.Z[3] = ONE[3] & infty;
+ if (P256_LIMBS == 8) {
+ p.p.Z[4] = ONE[4] & infty;
+ p.p.Z[5] = ONE[5] & infty;
+ p.p.Z[6] = ONE[6] & infty;
+ p.p.Z[7] = ONE[7] & infty;
+ }
- wvalue = _booth_recode_w7(wvalue);
+ for (i = 1; i < 37; i++) {
+ unsigned int off = (idx - 1) / 8;
+ wvalue = p_str[off] | p_str[off + 1] << 8;
+ wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
+ idx += window_size;
- ecp_nistz256_gather_w7(&t.a,
- preComputedTable[i], wvalue >> 1);
+ wvalue = _booth_recode_w7(wvalue);
- ecp_nistz256_neg(t.p.Z, t.a.Y);
- copy_conditional(t.a.Y, t.p.Z, wvalue & 1);
+ ecp_nistz256_gather_w7(&t.a,
+ preComputedTable[i], wvalue >> 1);
- ecp_nistz256_point_add_affine(&p.p, &p.p, &t.a);
- }
+ ecp_nistz256_neg(t.p.Z, t.a.Y);
+ copy_conditional(t.a.Y, t.p.Z, wvalue & 1);
+
+ ecp_nistz256_point_add_affine(&p.p, &p.p, &t.a);
}
} else {
p_is_infinity = 1;
diff --git a/crypto/ec/ecp_oct.c b/crypto/ec/ecp_oct.c
index 7ade1b3d..94607632 100644
--- a/crypto/ec/ecp_oct.c
+++ b/crypto/ec/ecp_oct.c
@@ -11,7 +11,7 @@
#include <openssl/err.h>
#include <openssl/symhacks.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group,
EC_POINT *point,
diff --git a/crypto/ec/ecp_smpl.c b/crypto/ec/ecp_smpl.c
index e6e4c9d2..b3110ec8 100644
--- a/crypto/ec/ecp_smpl.c
+++ b/crypto/ec/ecp_smpl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -11,7 +11,7 @@
#include <openssl/err.h>
#include <openssl/symhacks.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
const EC_METHOD *EC_GFp_simple_method(void)
{
@@ -1372,6 +1372,7 @@ int ec_GFp_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
* Computes the multiplicative inverse of a in GF(p), storing the result in r.
* If a is zero (or equivalent), you'll get a EC_R_CANNOT_INVERT error.
* Since we don't have a Mont structure here, SCA hardening is with blinding.
+ * NB: "a" must be in _decoded_ form. (i.e. field_decode must precede.)
*/
int ec_GFp_simple_field_inv(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
BN_CTX *ctx)
@@ -1431,112 +1432,133 @@ int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
temp = BN_CTX_get(ctx);
if (temp == NULL) {
ECerr(EC_F_EC_GFP_SIMPLE_BLIND_COORDINATES, ERR_R_MALLOC_FAILURE);
- goto err;
+ goto end;
}
- /* make sure lambda is not zero */
+ /*-
+ * Make sure lambda is not zero.
+ * If the RNG fails, we cannot blind but nevertheless want
+ * code to continue smoothly and not clobber the error stack.
+ */
do {
- if (!BN_priv_rand_range(lambda, group->field)) {
- ECerr(EC_F_EC_GFP_SIMPLE_BLIND_COORDINATES, ERR_R_BN_LIB);
- goto err;
+ ERR_set_mark();
+ ret = BN_priv_rand_range(lambda, group->field);
+ ERR_pop_to_mark();
+ if (ret == 0) {
+ ret = 1;
+ goto end;
}
} while (BN_is_zero(lambda));
/* if field_encode defined convert between representations */
- if (group->meth->field_encode != NULL
- && !group->meth->field_encode(group, lambda, lambda, ctx))
- goto err;
- if (!group->meth->field_mul(group, p->Z, p->Z, lambda, ctx))
- goto err;
- if (!group->meth->field_sqr(group, temp, lambda, ctx))
- goto err;
- if (!group->meth->field_mul(group, p->X, p->X, temp, ctx))
- goto err;
- if (!group->meth->field_mul(group, temp, temp, lambda, ctx))
- goto err;
- if (!group->meth->field_mul(group, p->Y, p->Y, temp, ctx))
- goto err;
- p->Z_is_one = 0;
+ if ((group->meth->field_encode != NULL
+ && !group->meth->field_encode(group, lambda, lambda, ctx))
+ || !group->meth->field_mul(group, p->Z, p->Z, lambda, ctx)
+ || !group->meth->field_sqr(group, temp, lambda, ctx)
+ || !group->meth->field_mul(group, p->X, p->X, temp, ctx)
+ || !group->meth->field_mul(group, temp, temp, lambda, ctx)
+ || !group->meth->field_mul(group, p->Y, p->Y, temp, ctx))
+ goto end;
+ p->Z_is_one = 0;
ret = 1;
- err:
+ end:
BN_CTX_end(ctx);
return ret;
}
/*-
- * Set s := p, r := 2p.
+ * Input:
+ * - p: affine coordinates
+ *
+ * Output:
+ * - s := p, r := 2p: blinded projective (homogeneous) coordinates
*
* For doubling we use Formula 3 from Izu-Takagi "A fast parallel elliptic curve
- * multiplication resistant against side channel attacks" appendix, as described
- * at
+ * multiplication resistant against side channel attacks" appendix, described at
* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#doubling-dbl-2002-it-2
+ * simplified for Z1=1.
*
- * The input point p will be in randomized Jacobian projective coords:
- * x = X/Z**2, y=Y/Z**3
- *
- * The output points p, s, and r are converted to standard (homogeneous)
- * projective coords:
- * x = X/Z, y=Y/Z
+ * Blinding uses the equivalence relation (\lambda X, \lambda Y, \lambda Z)
+ * for any non-zero \lambda that holds for projective (homogeneous) coords.
*/
int ec_GFp_simple_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
- BIGNUM *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
+ BIGNUM *t1, *t2, *t3, *t4, *t5 = NULL;
- t1 = r->Z;
- t2 = r->Y;
+ t1 = s->Z;
+ t2 = r->Z;
t3 = s->X;
t4 = r->X;
t5 = s->Y;
- t6 = s->Z;
-
- /* convert p: (X,Y,Z) -> (XZ,Y,Z**3) */
- if (!group->meth->field_mul(group, p->X, p->X, p->Z, ctx)
- || !group->meth->field_sqr(group, t1, p->Z, ctx)
- || !group->meth->field_mul(group, p->Z, p->Z, t1, ctx)
- /* r := 2p */
- || !group->meth->field_sqr(group, t2, p->X, ctx)
- || !group->meth->field_sqr(group, t3, p->Z, ctx)
- || !group->meth->field_mul(group, t4, t3, group->a, ctx)
- || !BN_mod_sub_quick(t5, t2, t4, group->field)
- || !BN_mod_add_quick(t2, t2, t4, group->field)
- || !group->meth->field_sqr(group, t5, t5, ctx)
- || !group->meth->field_mul(group, t6, t3, group->b, ctx)
- || !group->meth->field_mul(group, t1, p->X, p->Z, ctx)
- || !group->meth->field_mul(group, t4, t1, t6, ctx)
- || !BN_mod_lshift_quick(t4, t4, 3, group->field)
+
+ if (!p->Z_is_one /* r := 2p */
+ || !group->meth->field_sqr(group, t3, p->X, ctx)
+ || !BN_mod_sub_quick(t4, t3, group->a, group->field)
+ || !group->meth->field_sqr(group, t4, t4, ctx)
+ || !group->meth->field_mul(group, t5, p->X, group->b, ctx)
+ || !BN_mod_lshift_quick(t5, t5, 3, group->field)
/* r->X coord output */
- || !BN_mod_sub_quick(r->X, t5, t4, group->field)
- || !group->meth->field_mul(group, t1, t1, t2, ctx)
- || !group->meth->field_mul(group, t2, t3, t6, ctx)
- || !BN_mod_add_quick(t1, t1, t2, group->field)
+ || !BN_mod_sub_quick(r->X, t4, t5, group->field)
+ || !BN_mod_add_quick(t1, t3, group->a, group->field)
+ || !group->meth->field_mul(group, t2, p->X, t1, ctx)
+ || !BN_mod_add_quick(t2, group->b, t2, group->field)
/* r->Z coord output */
- || !BN_mod_lshift_quick(r->Z, t1, 2, group->field)
- || !EC_POINT_copy(s, p))
+ || !BN_mod_lshift_quick(r->Z, t2, 2, group->field))
+ return 0;
+
+ /* make sure lambda (r->Y here for storage) is not zero */
+ do {
+ if (!BN_priv_rand_range(r->Y, group->field))
+ return 0;
+ } while (BN_is_zero(r->Y));
+
+ /* make sure lambda (s->Z here for storage) is not zero */
+ do {
+ if (!BN_priv_rand_range(s->Z, group->field))
+ return 0;
+ } while (BN_is_zero(s->Z));
+
+ /* if field_encode defined convert between representations */
+ if (group->meth->field_encode != NULL
+ && (!group->meth->field_encode(group, r->Y, r->Y, ctx)
+ || !group->meth->field_encode(group, s->Z, s->Z, ctx)))
+ return 0;
+
+ /* blind r and s independently */
+ if (!group->meth->field_mul(group, r->Z, r->Z, r->Y, ctx)
+ || !group->meth->field_mul(group, r->X, r->X, r->Y, ctx)
+ || !group->meth->field_mul(group, s->X, p->X, s->Z, ctx)) /* s := p */
return 0;
r->Z_is_one = 0;
s->Z_is_one = 0;
- p->Z_is_one = 0;
return 1;
}
/*-
- * Differential addition-and-doubling using Eq. (9) and (10) from Izu-Takagi
+ * Input:
+ * - s, r: projective (homogeneous) coordinates
+ * - p: affine coordinates
+ *
+ * Output:
+ * - s := r + s, r := 2r: projective (homogeneous) coordinates
+ *
+ * Differential addition-and-doubling using Eq. (9) and (10) from Izu-Takagi
* "A fast parallel elliptic curve multiplication resistant against side channel
* attacks", as described at
- * https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#ladder-ladd-2002-it-4
+ * https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#ladder-mladd-2002-it-4
*/
int ec_GFp_simple_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
int ret = 0;
- BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6, *t7 = NULL;
+ BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
@@ -1546,50 +1568,47 @@ int ec_GFp_simple_ladder_step(const EC_GROUP *group,
t4 = BN_CTX_get(ctx);
t5 = BN_CTX_get(ctx);
t6 = BN_CTX_get(ctx);
- t7 = BN_CTX_get(ctx);
- if (t7 == NULL
- || !group->meth->field_mul(group, t0, r->X, s->X, ctx)
- || !group->meth->field_mul(group, t1, r->Z, s->Z, ctx)
- || !group->meth->field_mul(group, t2, r->X, s->Z, ctx)
+ if (t6 == NULL
+ || !group->meth->field_mul(group, t6, r->X, s->X, ctx)
+ || !group->meth->field_mul(group, t0, r->Z, s->Z, ctx)
+ || !group->meth->field_mul(group, t4, r->X, s->Z, ctx)
|| !group->meth->field_mul(group, t3, r->Z, s->X, ctx)
- || !group->meth->field_mul(group, t4, group->a, t1, ctx)
- || !BN_mod_add_quick(t0, t0, t4, group->field)
- || !BN_mod_add_quick(t4, t3, t2, group->field)
- || !group->meth->field_mul(group, t0, t4, t0, ctx)
- || !group->meth->field_sqr(group, t1, t1, ctx)
- || !BN_mod_lshift_quick(t7, group->b, 2, group->field)
- || !group->meth->field_mul(group, t1, t7, t1, ctx)
- || !BN_mod_lshift1_quick(t0, t0, group->field)
- || !BN_mod_add_quick(t0, t1, t0, group->field)
- || !BN_mod_sub_quick(t1, t2, t3, group->field)
- || !group->meth->field_sqr(group, t1, t1, ctx)
- || !group->meth->field_mul(group, t3, t1, p->X, ctx)
- || !group->meth->field_mul(group, t0, p->Z, t0, ctx)
- /* s->X coord output */
- || !BN_mod_sub_quick(s->X, t0, t3, group->field)
- /* s->Z coord output */
- || !group->meth->field_mul(group, s->Z, p->Z, t1, ctx)
- || !group->meth->field_sqr(group, t3, r->X, ctx)
- || !group->meth->field_sqr(group, t2, r->Z, ctx)
- || !group->meth->field_mul(group, t4, t2, group->a, ctx)
- || !BN_mod_add_quick(t5, r->X, r->Z, group->field)
- || !group->meth->field_sqr(group, t5, t5, ctx)
- || !BN_mod_sub_quick(t5, t5, t3, group->field)
- || !BN_mod_sub_quick(t5, t5, t2, group->field)
- || !BN_mod_sub_quick(t6, t3, t4, group->field)
- || !group->meth->field_sqr(group, t6, t6, ctx)
- || !group->meth->field_mul(group, t0, t2, t5, ctx)
- || !group->meth->field_mul(group, t0, t7, t0, ctx)
- /* r->X coord output */
- || !BN_mod_sub_quick(r->X, t6, t0, group->field)
+ || !group->meth->field_mul(group, t5, group->a, t0, ctx)
+ || !BN_mod_add_quick(t5, t6, t5, group->field)
|| !BN_mod_add_quick(t6, t3, t4, group->field)
- || !group->meth->field_sqr(group, t3, t2, ctx)
- || !group->meth->field_mul(group, t7, t3, t7, ctx)
- || !group->meth->field_mul(group, t5, t5, t6, ctx)
+ || !group->meth->field_mul(group, t5, t6, t5, ctx)
+ || !group->meth->field_sqr(group, t0, t0, ctx)
+ || !BN_mod_lshift_quick(t2, group->b, 2, group->field)
+ || !group->meth->field_mul(group, t0, t2, t0, ctx)
|| !BN_mod_lshift1_quick(t5, t5, group->field)
+ || !BN_mod_sub_quick(t3, t4, t3, group->field)
+ /* s->Z coord output */
+ || !group->meth->field_sqr(group, s->Z, t3, ctx)
+ || !group->meth->field_mul(group, t4, s->Z, p->X, ctx)
+ || !BN_mod_add_quick(t0, t0, t5, group->field)
+ /* s->X coord output */
+ || !BN_mod_sub_quick(s->X, t0, t4, group->field)
+ || !group->meth->field_sqr(group, t4, r->X, ctx)
+ || !group->meth->field_sqr(group, t5, r->Z, ctx)
+ || !group->meth->field_mul(group, t6, t5, group->a, ctx)
+ || !BN_mod_add_quick(t1, r->X, r->Z, group->field)
+ || !group->meth->field_sqr(group, t1, t1, ctx)
+ || !BN_mod_sub_quick(t1, t1, t4, group->field)
+ || !BN_mod_sub_quick(t1, t1, t5, group->field)
+ || !BN_mod_sub_quick(t3, t4, t6, group->field)
+ || !group->meth->field_sqr(group, t3, t3, ctx)
+ || !group->meth->field_mul(group, t0, t5, t1, ctx)
+ || !group->meth->field_mul(group, t0, t2, t0, ctx)
+ /* r->X coord output */
+ || !BN_mod_sub_quick(r->X, t3, t0, group->field)
+ || !BN_mod_add_quick(t3, t4, t6, group->field)
+ || !group->meth->field_sqr(group, t4, t5, ctx)
+ || !group->meth->field_mul(group, t4, t4, t2, ctx)
+ || !group->meth->field_mul(group, t1, t1, t3, ctx)
+ || !BN_mod_lshift1_quick(t1, t1, group->field)
/* r->Z coord output */
- || !BN_mod_add_quick(r->Z, t7, t5, group->field))
+ || !BN_mod_add_quick(r->Z, t4, t1, group->field))
goto err;
ret = 1;
@@ -1600,17 +1619,23 @@ int ec_GFp_simple_ladder_step(const EC_GROUP *group,
}
/*-
+ * Input:
+ * - s, r: projective (homogeneous) coordinates
+ * - p: affine coordinates
+ *
+ * Output:
+ * - r := (x,y): affine coordinates
+ *
* Recovers the y-coordinate of r using Eq. (8) from Brier-Joye, "Weierstrass
- * Elliptic Curves and Side-Channel Attacks", modified to work in projective
- * coordinates and return r in Jacobian projective coordinates.
+ * Elliptic Curves and Side-Channel Attacks", modified to work in mixed
+ * projective coords, i.e. p is affine and (r,s) in projective (homogeneous)
+ * coords, and return r in affine coordinates.
*
- * X4 = two*Y1*X2*Z3*Z2*Z1;
- * Y4 = two*b*Z3*SQR(Z2*Z1) + Z3*(a*Z2*Z1+X1*X2)*(X1*Z2+X2*Z1) - X3*SQR(X1*Z2-X2*Z1);
- * Z4 = two*Y1*Z3*SQR(Z2)*Z1;
+ * X4 = two*Y1*X2*Z3*Z2;
+ * Y4 = two*b*Z3*SQR(Z2) + Z3*(a*Z2+X1*X2)*(X1*Z2+X2) - X3*SQR(X1*Z2-X2);
+ * Z4 = two*Y1*Z3*SQR(Z2);
*
* Z4 != 0 because:
- * - Z1==0 implies p is at infinity, which would have caused an early exit in
- * the caller;
* - Z2==0 implies r is at infinity (handled by the BN_is_zero(r->Z) branch);
* - Z3==0 implies s is at infinity (handled by the BN_is_zero(s->Z) branch);
* - Y1==0 implies p has order 2, so either r or s are infinity and handled by
@@ -1627,11 +1652,7 @@ int ec_GFp_simple_ladder_post(const EC_GROUP *group,
return EC_POINT_set_to_infinity(group, r);
if (BN_is_zero(s->Z)) {
- /* (X,Y,Z) -> (XZ,YZ**2,Z) */
- if (!group->meth->field_mul(group, r->X, p->X, p->Z, ctx)
- || !group->meth->field_sqr(group, r->Z, p->Z, ctx)
- || !group->meth->field_mul(group, r->Y, p->Y, r->Z, ctx)
- || !BN_copy(r->Z, p->Z)
+ if (!EC_POINT_copy(r, p)
|| !EC_POINT_invert(group, r, ctx))
return 0;
return 1;
@@ -1647,38 +1668,46 @@ int ec_GFp_simple_ladder_post(const EC_GROUP *group,
t6 = BN_CTX_get(ctx);
if (t6 == NULL
- || !BN_mod_lshift1_quick(t0, p->Y, group->field)
- || !group->meth->field_mul(group, t1, r->X, p->Z, ctx)
- || !group->meth->field_mul(group, t2, r->Z, s->Z, ctx)
- || !group->meth->field_mul(group, t2, t1, t2, ctx)
- || !group->meth->field_mul(group, t3, t2, t0, ctx)
- || !group->meth->field_mul(group, t2, r->Z, p->Z, ctx)
- || !group->meth->field_sqr(group, t4, t2, ctx)
- || !BN_mod_lshift1_quick(t5, group->b, group->field)
- || !group->meth->field_mul(group, t4, t4, t5, ctx)
- || !group->meth->field_mul(group, t6, t2, group->a, ctx)
- || !group->meth->field_mul(group, t5, r->X, p->X, ctx)
- || !BN_mod_add_quick(t5, t6, t5, group->field)
- || !group->meth->field_mul(group, t6, r->Z, p->X, ctx)
- || !BN_mod_add_quick(t2, t6, t1, group->field)
- || !group->meth->field_mul(group, t5, t5, t2, ctx)
- || !BN_mod_sub_quick(t6, t6, t1, group->field)
- || !group->meth->field_sqr(group, t6, t6, ctx)
- || !group->meth->field_mul(group, t6, t6, s->X, ctx)
- || !BN_mod_add_quick(t4, t5, t4, group->field)
- || !group->meth->field_mul(group, t4, t4, s->Z, ctx)
- || !BN_mod_sub_quick(t4, t4, t6, group->field)
- || !group->meth->field_sqr(group, t5, r->Z, ctx)
- || !group->meth->field_mul(group, r->Z, p->Z, s->Z, ctx)
- || !group->meth->field_mul(group, r->Z, t5, r->Z, ctx)
- || !group->meth->field_mul(group, r->Z, r->Z, t0, ctx)
- /* t3 := X, t4 := Y */
- /* (X,Y,Z) -> (XZ,YZ**2,Z) */
- || !group->meth->field_mul(group, r->X, t3, r->Z, ctx)
+ || !BN_mod_lshift1_quick(t4, p->Y, group->field)
+ || !group->meth->field_mul(group, t6, r->X, t4, ctx)
+ || !group->meth->field_mul(group, t6, s->Z, t6, ctx)
+ || !group->meth->field_mul(group, t5, r->Z, t6, ctx)
+ || !BN_mod_lshift1_quick(t1, group->b, group->field)
+ || !group->meth->field_mul(group, t1, s->Z, t1, ctx)
|| !group->meth->field_sqr(group, t3, r->Z, ctx)
- || !group->meth->field_mul(group, r->Y, t4, t3, ctx))
+ || !group->meth->field_mul(group, t2, t3, t1, ctx)
+ || !group->meth->field_mul(group, t6, r->Z, group->a, ctx)
+ || !group->meth->field_mul(group, t1, p->X, r->X, ctx)
+ || !BN_mod_add_quick(t1, t1, t6, group->field)
+ || !group->meth->field_mul(group, t1, s->Z, t1, ctx)
+ || !group->meth->field_mul(group, t0, p->X, r->Z, ctx)
+ || !BN_mod_add_quick(t6, r->X, t0, group->field)
+ || !group->meth->field_mul(group, t6, t6, t1, ctx)
+ || !BN_mod_add_quick(t6, t6, t2, group->field)
+ || !BN_mod_sub_quick(t0, t0, r->X, group->field)
+ || !group->meth->field_sqr(group, t0, t0, ctx)
+ || !group->meth->field_mul(group, t0, t0, s->X, ctx)
+ || !BN_mod_sub_quick(t0, t6, t0, group->field)
+ || !group->meth->field_mul(group, t1, s->Z, t4, ctx)
+ || !group->meth->field_mul(group, t1, t3, t1, ctx)
+ || (group->meth->field_decode != NULL
+ && !group->meth->field_decode(group, t1, t1, ctx))
+ || !group->meth->field_inv(group, t1, t1, ctx)
+ || (group->meth->field_encode != NULL
+ && !group->meth->field_encode(group, t1, t1, ctx))
+ || !group->meth->field_mul(group, r->X, t5, t1, ctx)
+ || !group->meth->field_mul(group, r->Y, t0, t1, ctx))
goto err;
+ if (group->meth->field_set_to_one != NULL) {
+ if (!group->meth->field_set_to_one(group, r->Z, ctx))
+ goto err;
+ } else {
+ if (!BN_one(r->Z))
+ goto err;
+ }
+
+ r->Z_is_one = 1;
ret = 1;
err:
diff --git a/crypto/ec/ecx_meth.c b/crypto/ec/ecx_meth.c
index c87419b5..9dc5259e 100644
--- a/crypto/ec/ecx_meth.c
+++ b/crypto/ec/ecx_meth.c
@@ -12,10 +12,10 @@
#include <openssl/x509.h>
#include <openssl/ec.h>
#include <openssl/rand.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
-#include "ec_lcl.h"
-#include "curve448/curve448_lcl.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
+#include "ec_local.h"
+#include "curve448/curve448_local.h"
#define X25519_BITS 253
#define X25519_SECURITY_BITS 128
@@ -191,7 +191,7 @@ static int ecx_priv_decode(EVP_PKEY *pkey, const PKCS8_PRIV_KEY_INFO *p8)
}
rv = ecx_key_op(pkey, pkey->ameth->pkey_id, palg, p, plen, KEY_OP_PRIVATE);
- ASN1_OCTET_STRING_free(oct);
+ ASN1_STRING_clear_free(oct);
return rv;
}
diff --git a/crypto/engine/README b/crypto/engine/README
index c7a5696c..0f8a8fbd 100644
--- a/crypto/engine/README
+++ b/crypto/engine/README
@@ -9,7 +9,7 @@ for masochists" document *and* a rather extensive commit log message. (I'd get
lynched for sticking all this in CHANGES or the commit mails :-).
ENGINE_TABLE underlies this restructuring, as described in the internal header
-"eng_int.h", implemented in eng_table.c, and used in each of the "class" files;
+"eng_local.h", implemented in eng_table.c, and used in each of the "class" files;
tb_rsa.c, tb_dsa.c, etc.
However, "EVP_CIPHER" underlies the motivation and design of ENGINE_TABLE so
diff --git a/crypto/engine/eng_all.c b/crypto/engine/eng_all.c
index af306ccf..b675ed78 100644
--- a/crypto/engine/eng_all.c
+++ b/crypto/engine/eng_all.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "eng_int.h"
+#include "eng_local.h"
void ENGINE_load_builtin_engines(void)
{
diff --git a/crypto/engine/eng_cnf.c b/crypto/engine/eng_cnf.c
index 6f0a066d..df00df6a 100644
--- a/crypto/engine/eng_cnf.c
+++ b/crypto/engine/eng_cnf.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
#include <openssl/conf.h>
/* #define ENGINE_CONF_DEBUG */
diff --git a/crypto/engine/eng_ctrl.c b/crypto/engine/eng_ctrl.c
index 3bc4aab1..e65e7844 100644
--- a/crypto/engine/eng_ctrl.c
+++ b/crypto/engine/eng_ctrl.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
/*
* When querying a ENGINE-specific control command's 'description', this
diff --git a/crypto/engine/eng_devcrypto.c b/crypto/engine/eng_devcrypto.c
index a727c6f6..49e9ce1a 100644
--- a/crypto/engine/eng_devcrypto.c
+++ b/crypto/engine/eng_devcrypto.c
@@ -22,7 +22,7 @@
#include <openssl/objects.h>
#include <crypto/cryptodev.h>
-#include "internal/engine.h"
+#include "crypto/engine.h"
/* #define ENGINE_DEVCRYPTO_DEBUG */
diff --git a/crypto/engine/eng_dyn.c b/crypto/engine/eng_dyn.c
index 843226c0..06e67729 100644
--- a/crypto/engine/eng_dyn.c
+++ b/crypto/engine/eng_dyn.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
#include "internal/dso.h"
#include <openssl/crypto.h>
diff --git a/crypto/engine/eng_fat.c b/crypto/engine/eng_fat.c
index 591fddc8..fe231a65 100644
--- a/crypto/engine/eng_fat.c
+++ b/crypto/engine/eng_fat.c
@@ -8,7 +8,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
#include <openssl/conf.h>
int ENGINE_set_default(ENGINE *e, unsigned int flags)
diff --git a/crypto/engine/eng_init.c b/crypto/engine/eng_init.c
index 7c235fc4..6c9063f8 100644
--- a/crypto/engine/eng_init.c
+++ b/crypto/engine/eng_init.c
@@ -8,7 +8,7 @@
*/
#include "e_os.h"
-#include "eng_int.h"
+#include "eng_local.h"
/*
* Initialise a engine type for use (or up its functional reference count if
diff --git a/crypto/engine/eng_lib.c b/crypto/engine/eng_lib.c
index d7f2026f..5bd584c5 100644
--- a/crypto/engine/eng_lib.c
+++ b/crypto/engine/eng_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include "e_os.h"
-#include "eng_int.h"
+#include "eng_local.h"
#include <openssl/rand.h>
#include "internal/refcount.h"
@@ -171,6 +171,7 @@ void engine_cleanup_int(void)
cleanup_stack = NULL;
}
CRYPTO_THREAD_lock_free(global_engine_lock);
+ global_engine_lock = NULL;
}
/* Now the "ex_data" support */
diff --git a/crypto/engine/eng_list.c b/crypto/engine/eng_list.c
index 45c339c5..1352fb7c 100644
--- a/crypto/engine/eng_list.c
+++ b/crypto/engine/eng_list.c
@@ -8,7 +8,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
/*
* The linked-list of pointers to engine types. engine_list_head incorporates
diff --git a/crypto/engine/eng_int.h b/crypto/engine/eng_local.h
similarity index 97%
rename from crypto/engine/eng_int.h
rename to crypto/engine/eng_local.h
index b9548334..8ef7172b 100644
--- a/crypto/engine/eng_int.h
+++ b/crypto/engine/eng_local.h
@@ -8,11 +8,11 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_ENGINE_INT_H
-# define HEADER_ENGINE_INT_H
+#ifndef OSSL_CRYPTO_ENGINE_ENG_LOCAL_H
+# define OSSL_CRYPTO_ENGINE_ENG_LOCAL_H
# include "internal/cryptlib.h"
-# include "internal/engine.h"
+# include "crypto/engine.h"
# include "internal/thread_once.h"
# include "internal/refcount.h"
@@ -168,4 +168,4 @@ typedef struct st_engine_pile ENGINE_PILE;
DEFINE_LHASH_OF(ENGINE_PILE);
-#endif /* HEADER_ENGINE_INT_H */
+#endif /* OSSL_CRYPTO_ENGINE_ENG_LOCAL_H */
diff --git a/crypto/engine/eng_openssl.c b/crypto/engine/eng_openssl.c
index d9b3067a..25631fb8 100644
--- a/crypto/engine/eng_openssl.c
+++ b/crypto/engine/eng_openssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -11,7 +11,7 @@
#include <stdio.h>
#include <openssl/crypto.h>
#include "internal/cryptlib.h"
-#include "internal/engine.h"
+#include "crypto/engine.h"
#include <openssl/pem.h>
#include <openssl/evp.h>
#include <openssl/rand.h>
@@ -167,7 +167,7 @@ static int bind_fn(ENGINE *e, const char *id)
}
IMPLEMENT_DYNAMIC_CHECK_FN()
- IMPLEMENT_DYNAMIC_BIND_FN(bind_fn)
+IMPLEMENT_DYNAMIC_BIND_FN(bind_fn)
#endif /* ENGINE_DYNAMIC_SUPPORT */
#ifdef TEST_ENG_OPENSSL_RC4
/*-
diff --git a/crypto/engine/eng_pkey.c b/crypto/engine/eng_pkey.c
index 305a648f..e813bc6d 100644
--- a/crypto/engine/eng_pkey.c
+++ b/crypto/engine/eng_pkey.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
/* Basic get/set stuff */
diff --git a/crypto/engine/eng_rdrand.c b/crypto/engine/eng_rdrand.c
index 261e5deb..9dceb167 100644
--- a/crypto/engine/eng_rdrand.c
+++ b/crypto/engine/eng_rdrand.c
@@ -11,7 +11,7 @@
#include <stdio.h>
#include <string.h>
-#include "internal/engine.h"
+#include "crypto/engine.h"
#include <openssl/rand.h>
#include <openssl/err.h>
#include <openssl/crypto.h>
diff --git a/crypto/engine/eng_table.c b/crypto/engine/eng_table.c
index ac4b02fc..72f393db 100644
--- a/crypto/engine/eng_table.c
+++ b/crypto/engine/eng_table.c
@@ -10,7 +10,7 @@
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/lhash.h>
-#include "eng_int.h"
+#include "eng_local.h"
/* The type of the items in the table */
struct st_engine_pile {
@@ -26,7 +26,7 @@ struct st_engine_pile {
int uptodate;
};
-/* The type exposed in eng_int.h */
+/* The type exposed in eng_local.h */
struct st_engine_table {
LHASH_OF(ENGINE_PILE) piles;
}; /* ENGINE_TABLE */
@@ -76,7 +76,7 @@ static int int_table_check(ENGINE_TABLE **t, int create)
}
/*
- * Privately exposed (via eng_int.h) functions for adding and/or removing
+ * Privately exposed (via eng_local.h) functions for adding and/or removing
* ENGINEs from the implementation table
*/
int engine_table_register(ENGINE_TABLE **table, ENGINE_CLEANUP_CB *cleanup,
diff --git a/crypto/engine/tb_asnmth.c b/crypto/engine/tb_asnmth.c
index 4bcc7613..72850b93 100644
--- a/crypto/engine/tb_asnmth.c
+++ b/crypto/engine/tb_asnmth.c
@@ -8,9 +8,9 @@
*/
#include "e_os.h"
-#include "eng_int.h"
+#include "eng_local.h"
#include <openssl/evp.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
/*
* If this symbol is defined then ENGINE_get_pkey_asn1_meth_engine(), the
@@ -147,7 +147,8 @@ const EVP_PKEY_ASN1_METHOD *ENGINE_get_pkey_asn1_meth_str(ENGINE *e,
nidcount = e->pkey_asn1_meths(e, NULL, &nids, 0);
for (i = 0; i < nidcount; i++) {
e->pkey_asn1_meths(e, &ameth, NULL, nids[i]);
- if (((int)strlen(ameth->pem_str) == len)
+ if (ameth != NULL
+ && ((int)strlen(ameth->pem_str) == len)
&& strncasecmp(ameth->pem_str, str, len) == 0)
return ameth;
}
diff --git a/crypto/engine/tb_cipher.c b/crypto/engine/tb_cipher.c
index faa967c4..236da346 100644
--- a/crypto/engine/tb_cipher.c
+++ b/crypto/engine/tb_cipher.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *cipher_table = NULL;
diff --git a/crypto/engine/tb_dh.c b/crypto/engine/tb_dh.c
index 785119f6..a13a1395 100644
--- a/crypto/engine/tb_dh.c
+++ b/crypto/engine/tb_dh.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *dh_table = NULL;
static const int dummy_nid = 1;
diff --git a/crypto/engine/tb_digest.c b/crypto/engine/tb_digest.c
index d644b1b0..a6e6337a 100644
--- a/crypto/engine/tb_digest.c
+++ b/crypto/engine/tb_digest.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *digest_table = NULL;
diff --git a/crypto/engine/tb_dsa.c b/crypto/engine/tb_dsa.c
index 65b6ea8d..2c77f0f3 100644
--- a/crypto/engine/tb_dsa.c
+++ b/crypto/engine/tb_dsa.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *dsa_table = NULL;
static const int dummy_nid = 1;
diff --git a/crypto/engine/tb_eckey.c b/crypto/engine/tb_eckey.c
index 1e507368..907d55ae 100644
--- a/crypto/engine/tb_eckey.c
+++ b/crypto/engine/tb_eckey.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *dh_table = NULL;
static const int dummy_nid = 1;
diff --git a/crypto/engine/tb_pkmeth.c b/crypto/engine/tb_pkmeth.c
index 03cd1e69..c5c001c5 100644
--- a/crypto/engine/tb_pkmeth.c
+++ b/crypto/engine/tb_pkmeth.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
#include <openssl/evp.h>
static ENGINE_TABLE *pkey_meth_table = NULL;
diff --git a/crypto/engine/tb_rand.c b/crypto/engine/tb_rand.c
index 98a98073..92f61c5a 100644
--- a/crypto/engine/tb_rand.c
+++ b/crypto/engine/tb_rand.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *rand_table = NULL;
static const int dummy_nid = 1;
diff --git a/crypto/engine/tb_rsa.c b/crypto/engine/tb_rsa.c
index d8d2e34f..43e865e6 100644
--- a/crypto/engine/tb_rsa.c
+++ b/crypto/engine/tb_rsa.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "eng_int.h"
+#include "eng_local.h"
static ENGINE_TABLE *rsa_table = NULL;
static const int dummy_nid = 1;
diff --git a/crypto/err/err.c b/crypto/err/err.c
index 3a58ccb9..1372d52f 100644
--- a/crypto/err/err.c
+++ b/crypto/err/err.c
@@ -10,17 +10,17 @@
#include <stdio.h>
#include <stdarg.h>
#include <string.h>
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include "internal/err.h"
-#include "internal/err_int.h"
+#include "crypto/err.h"
#include <openssl/err.h>
#include <openssl/crypto.h>
#include <openssl/buffer.h>
#include <openssl/bio.h>
#include <openssl/opensslconf.h>
#include "internal/thread_once.h"
-#include "internal/ctype.h"
-#include "internal/constant_time_locl.h"
+#include "crypto/ctype.h"
+#include "internal/constant_time.h"
#include "e_os.h"
static int err_load_strings(const ERR_STRING_DATA *str);
diff --git a/crypto/err/err_all.c b/crypto/err/err_all.c
index d9ec04b6..7c0a5f0b 100644
--- a/crypto/err/err_all.c
+++ b/crypto/err/err_all.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "internal/err_int.h"
+#include "crypto/err.h"
#include <openssl/asn1err.h>
#include <openssl/bnerr.h>
#include <openssl/ecerr.h>
diff --git a/crypto/err/openssl.ec b/crypto/err/openssl.ec
index 3e092eae..5976d150 100644
--- a/crypto/err/openssl.ec
+++ b/crypto/err/openssl.ec
@@ -32,15 +32,15 @@ L CMS include/openssl/cms.h crypto/cms/cms_err.c
L CT include/openssl/ct.h crypto/ct/ct_err.c
L ASYNC include/openssl/async.h crypto/async/async_err.c
L KDF include/openssl/kdf.h crypto/kdf/kdf_err.c
-L SM2 crypto/include/internal/sm2.h crypto/sm2/sm2_err.c
+L SM2 include/crypto/sm2.h crypto/sm2/sm2_err.c
L OSSL_STORE include/openssl/store.h crypto/store/store_err.c
# additional header files to be scanned for function names
L NONE include/openssl/x509_vfy.h NONE
-L NONE crypto/ec/ec_lcl.h NONE
-L NONE crypto/cms/cms_lcl.h NONE
-L NONE crypto/ct/ct_locl.h NONE
-L NONE ssl/ssl_locl.h NONE
+L NONE crypto/ec/ec_local.h NONE
+L NONE crypto/cms/cms_local.h NONE
+L NONE crypto/ct/ct_local.h NONE
+L NONE ssl/ssl_local.h NONE
# SSL/TLS alerts
R SSL_R_SSLV3_ALERT_UNEXPECTED_MESSAGE 1010
diff --git a/crypto/err/openssl.txt b/crypto/err/openssl.txt
index a433b032..7e177637 100644
--- a/crypto/err/openssl.txt
+++ b/crypto/err/openssl.txt
@@ -1,4 +1,4 @@
-# Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -36,6 +36,7 @@ ASN1_F_ASN1_ITEM_D2I_FP:206:ASN1_item_d2i_fp
ASN1_F_ASN1_ITEM_DUP:191:ASN1_item_dup
ASN1_F_ASN1_ITEM_EMBED_D2I:120:asn1_item_embed_d2i
ASN1_F_ASN1_ITEM_EMBED_NEW:121:asn1_item_embed_new
+ASN1_F_ASN1_ITEM_EX_I2D:144:ASN1_item_ex_i2d
ASN1_F_ASN1_ITEM_FLAGS_I2D:118:asn1_item_flags_i2d
ASN1_F_ASN1_ITEM_I2D_BIO:192:ASN1_item_i2d_bio
ASN1_F_ASN1_ITEM_I2D_FP:193:ASN1_item_i2d_fp
@@ -934,6 +935,8 @@ PEM_F_PEM_READ_PRIVATEKEY:124:PEM_read_PrivateKey
PEM_F_PEM_SIGNFINAL:112:PEM_SignFinal
PEM_F_PEM_WRITE:113:PEM_write
PEM_F_PEM_WRITE_BIO:114:PEM_write_bio
+PEM_F_PEM_WRITE_BIO_PRIVATEKEY_TRADITIONAL:147:\
+ PEM_write_bio_PrivateKey_traditional
PEM_F_PEM_WRITE_PRIVATEKEY:139:PEM_write_PrivateKey
PEM_F_PEM_X509_INFO_READ:115:PEM_X509_INFO_read
PEM_F_PEM_X509_INFO_READ_BIO:116:PEM_X509_INFO_read_bio
@@ -1002,6 +1005,7 @@ PKCS7_F_PKCS7_SIGNER_INFO_SIGN:139:PKCS7_SIGNER_INFO_sign
PKCS7_F_PKCS7_SIGN_ADD_SIGNER:137:PKCS7_sign_add_signer
PKCS7_F_PKCS7_SIMPLE_SMIMECAP:119:PKCS7_simple_smimecap
PKCS7_F_PKCS7_VERIFY:117:PKCS7_verify
+RAND_F_DATA_COLLECT_METHOD:127:data_collect_method
RAND_F_DRBG_BYTES:101:drbg_bytes
RAND_F_DRBG_GET_ENTROPY:105:drbg_get_entropy
RAND_F_DRBG_SETUP:117:drbg_setup
@@ -1027,6 +1031,7 @@ RAND_F_RAND_POOL_ATTACH:124:rand_pool_attach
RAND_F_RAND_POOL_BYTES_NEEDED:115:rand_pool_bytes_needed
RAND_F_RAND_POOL_GROW:125:rand_pool_grow
RAND_F_RAND_POOL_NEW:116:rand_pool_new
+RAND_F_RAND_PSEUDO_BYTES:126:RAND_pseudo_bytes
RAND_F_RAND_WRITE_FILE:112:RAND_write_file
RSA_F_CHECK_PADDING_MD:140:check_padding_md
RSA_F_ENCODE_PKCS1:146:encode_pkcs1
@@ -1178,6 +1183,7 @@ SSL_F_OSSL_STATEM_SERVER_CONSTRUCT_MESSAGE:431:*
SSL_F_OSSL_STATEM_SERVER_POST_PROCESS_MESSAGE:601:\
ossl_statem_server_post_process_message
SSL_F_OSSL_STATEM_SERVER_POST_WORK:602:ossl_statem_server_post_work
+SSL_F_OSSL_STATEM_SERVER_PRE_WORK:640:
SSL_F_OSSL_STATEM_SERVER_PROCESS_MESSAGE:603:ossl_statem_server_process_message
SSL_F_OSSL_STATEM_SERVER_READ_TRANSITION:418:ossl_statem_server_read_transition
SSL_F_OSSL_STATEM_SERVER_WRITE_TRANSITION:604:\
@@ -1739,6 +1745,7 @@ X509_F_X509_NAME_PRINT:117:X509_NAME_print
X509_F_X509_OBJECT_NEW:150:X509_OBJECT_new
X509_F_X509_PRINT_EX_FP:118:X509_print_ex_fp
X509_F_X509_PUBKEY_DECODE:148:x509_pubkey_decode
+X509_F_X509_PUBKEY_GET:161:X509_PUBKEY_get
X509_F_X509_PUBKEY_GET0:119:X509_PUBKEY_get0
X509_F_X509_PUBKEY_SET:120:X509_PUBKEY_set
X509_F_X509_REQ_CHECK_PRIVATE_KEY:144:X509_REQ_check_private_key
@@ -1765,6 +1772,7 @@ ASN1_R_ASN1_PARSE_ERROR:203:asn1 parse error
ASN1_R_ASN1_SIG_PARSE_ERROR:204:asn1 sig parse error
ASN1_R_AUX_ERROR:100:aux error
ASN1_R_BAD_OBJECT_HEADER:102:bad object header
+ASN1_R_BAD_TEMPLATE:230:bad template
ASN1_R_BMPSTRING_IS_WRONG_LENGTH:214:bmpstring is wrong length
ASN1_R_BN_LIB:105:bn lib
ASN1_R_BOOLEAN_IS_WRONG_LENGTH:106:boolean is wrong length
@@ -2161,6 +2169,7 @@ EC_R_KEYS_NOT_SET:140:keys not set
EC_R_LADDER_POST_FAILURE:136:ladder post failure
EC_R_LADDER_PRE_FAILURE:153:ladder pre failure
EC_R_LADDER_STEP_FAILURE:162:ladder step failure
+EC_R_MISSING_OID:167:missing OID
EC_R_MISSING_PARAMETERS:124:missing parameters
EC_R_MISSING_PRIVATE_KEY:125:missing private key
EC_R_NEED_NEW_SETUP_VALUES:157:need new setup values
@@ -2254,6 +2263,7 @@ EVP_R_INITIALIZATION_ERROR:134:initialization error
EVP_R_INPUT_NOT_INITIALIZED:111:input not initialized
EVP_R_INVALID_DIGEST:152:invalid digest
EVP_R_INVALID_FIPS_MODE:168:invalid fips mode
+EVP_R_INVALID_IV_LENGTH:194:invalid iv length
EVP_R_INVALID_KEY:163:invalid key
EVP_R_INVALID_KEY_LENGTH:130:invalid key length
EVP_R_INVALID_OPERATION:148:invalid operation
@@ -2273,6 +2283,7 @@ EVP_R_ONLY_ONESHOT_SUPPORTED:177:only oneshot supported
EVP_R_OPERATION_NOT_SUPPORTED_FOR_THIS_KEYTYPE:150:\
operation not supported for this keytype
EVP_R_OPERATON_NOT_INITIALIZED:151:operaton not initialized
+EVP_R_OUTPUT_WOULD_OVERFLOW:184:output would overflow
EVP_R_PARTIALLY_OVERLAPPING:162:partially overlapping buffers
EVP_R_PBKDF2_ERROR:181:pbkdf2 error
EVP_R_PKEY_APPLICATION_ASN1_METHOD_ALREADY_REGISTERED:179:\
@@ -2394,6 +2405,7 @@ PEM_R_UNEXPECTED_DEK_IV:130:unexpected dek iv
PEM_R_UNSUPPORTED_CIPHER:113:unsupported cipher
PEM_R_UNSUPPORTED_ENCRYPTION:114:unsupported encryption
PEM_R_UNSUPPORTED_KEY_COMPONENTS:126:unsupported key components
+PEM_R_UNSUPPORTED_PUBLIC_KEY_TYPE:110:unsupported public key type
PKCS12_R_CANT_PACK_STRUCTURE:100:cant pack structure
PKCS12_R_CONTENT_TYPE_NOT_DATA:121:content type not data
PKCS12_R_DECODE_ERROR:101:decode error
diff --git a/crypto/evp/bio_md.c b/crypto/evp/bio_md.c
index 288dee01..fed4cf1e 100644
--- a/crypto/evp/bio_md.c
+++ b/crypto/evp/bio_md.c
@@ -12,8 +12,8 @@
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/evp.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
#include "internal/bio.h"
/*
diff --git a/crypto/evp/bio_ok.c b/crypto/evp/bio_ok.c
index 300db6cd..9610f3c1 100644
--- a/crypto/evp/bio_ok.c
+++ b/crypto/evp/bio_ok.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -76,7 +76,7 @@
#include "internal/bio.h"
#include <openssl/evp.h>
#include <openssl/rand.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
static int ok_write(BIO *h, const char *buf, int num);
static int ok_read(BIO *h, char *buf, int size);
@@ -203,7 +203,7 @@ static int ok_read(BIO *b, char *out, int outl)
/*
* copy start of the next block into proper place
*/
- if (ctx->buf_len_save - ctx->buf_off_save > 0) {
+ if (ctx->buf_len_save > ctx->buf_off_save) {
ctx->buf_len = ctx->buf_len_save - ctx->buf_off_save;
memmove(ctx->buf, &(ctx->buf[ctx->buf_off_save]),
ctx->buf_len);
diff --git a/crypto/evp/c_allc.c b/crypto/evp/c_allc.c
index 086b3c4d..22fdcc40 100644
--- a/crypto/evp/c_allc.c
+++ b/crypto/evp/c_allc.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#include <openssl/pkcs12.h>
#include <openssl/objects.h>
diff --git a/crypto/evp/c_alld.c b/crypto/evp/c_alld.c
index 1267531a..16ac1b67 100644
--- a/crypto/evp/c_alld.c
+++ b/crypto/evp/c_alld.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#include <openssl/pkcs12.h>
#include <openssl/objects.h>
diff --git a/crypto/evp/cmeth_lib.c b/crypto/evp/cmeth_lib.c
index e2295c4d..272e4824 100644
--- a/crypto/evp/cmeth_lib.c
+++ b/crypto/evp/cmeth_lib.c
@@ -10,8 +10,8 @@
#include <string.h>
#include <openssl/evp.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
EVP_CIPHER *EVP_CIPHER_meth_new(int cipher_type, int block_size, int key_len)
{
diff --git a/crypto/evp/digest.c b/crypto/evp/digest.c
index 6693f270..d1bfa274 100644
--- a/crypto/evp/digest.c
+++ b/crypto/evp/digest.c
@@ -12,8 +12,8 @@
#include <openssl/objects.h>
#include <openssl/evp.h>
#include <openssl/engine.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
/* This call frees resources associated with the context */
int EVP_MD_CTX_reset(EVP_MD_CTX *ctx)
diff --git a/crypto/evp/e_aes.c b/crypto/evp/e_aes.c
index 1db346fc..405ddbf9 100644
--- a/crypto/evp/e_aes.c
+++ b/crypto/evp/e_aes.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,10 +14,10 @@
#include <string.h>
#include <assert.h>
#include <openssl/aes.h>
-#include "internal/evp_int.h"
-#include "modes_lcl.h"
+#include "crypto/evp.h"
+#include "modes_local.h"
#include <openssl/rand.h>
-#include "evp_locl.h"
+#include "evp_local.h"
typedef struct {
union {
@@ -176,7 +176,7 @@ static void ctr64_inc(unsigned char *counter)
# define HWAES_xts_decrypt aes_p8_xts_decrypt
#endif
-#if !defined(OPENSSL_NO_ASM) && ( \
+#if defined(OPENSSL_CPUID_OBJ) && ( \
((defined(__i386) || defined(__i386__) || \
defined(_M_IX86)) && defined(OPENSSL_IA32_SSE2))|| \
defined(__x86_64) || defined(__x86_64__) || \
@@ -1127,7 +1127,7 @@ typedef struct {
} icv;
unsigned char k[32];
} kmac_param;
- /* KMAC-AES paramater block - end */
+ /* KMAC-AES parameter block - end */
union {
unsigned long long g[2];
@@ -1414,7 +1414,7 @@ static int s390x_aes_ctr_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
(OPENSSL_s390xcap_P.kma[0] & \
S390X_CAPBIT(S390X_AES_256)))
-/* iv + padding length for iv lenghts != 12 */
+/* iv + padding length for iv lengths != 12 */
# define S390X_gcm_ivpadlen(i) ((((i) + 15) >> 4 << 4) + 16)
/*-
diff --git a/crypto/evp/e_aes_cbc_hmac_sha1.c b/crypto/evp/e_aes_cbc_hmac_sha1.c
index 09d24dc3..27c36b46 100644
--- a/crypto/evp/e_aes_cbc_hmac_sha1.c
+++ b/crypto/evp/e_aes_cbc_hmac_sha1.c
@@ -17,9 +17,9 @@
#include <openssl/aes.h>
#include <openssl/sha.h>
#include <openssl/rand.h>
-#include "modes_lcl.h"
-#include "internal/evp_int.h"
-#include "internal/constant_time_locl.h"
+#include "modes_local.h"
+#include "crypto/evp.h"
+#include "internal/constant_time.h"
typedef struct {
AES_KEY ks;
@@ -33,7 +33,7 @@ typedef struct {
#define NO_PAYLOAD_LENGTH ((size_t)-1)
-#if defined(AES_ASM) && ( \
+#if defined(AESNI_ASM) && ( \
defined(__x86_64) || defined(__x86_64__) || \
defined(_M_AMD64) || defined(_M_X64) )
diff --git a/crypto/evp/e_aes_cbc_hmac_sha256.c b/crypto/evp/e_aes_cbc_hmac_sha256.c
index caac0c9d..cc622b6f 100644
--- a/crypto/evp/e_aes_cbc_hmac_sha256.c
+++ b/crypto/evp/e_aes_cbc_hmac_sha256.c
@@ -18,9 +18,9 @@
#include <openssl/aes.h>
#include <openssl/sha.h>
#include <openssl/rand.h>
-#include "modes_lcl.h"
-#include "internal/constant_time_locl.h"
-#include "internal/evp_int.h"
+#include "modes_local.h"
+#include "internal/constant_time.h"
+#include "crypto/evp.h"
typedef struct {
AES_KEY ks;
@@ -34,7 +34,7 @@ typedef struct {
# define NO_PAYLOAD_LENGTH ((size_t)-1)
-#if defined(AES_ASM) && ( \
+#if defined(AESNI_ASM) && ( \
defined(__x86_64) || defined(__x86_64__) || \
defined(_M_AMD64) || defined(_M_X64) )
@@ -947,4 +947,4 @@ const EVP_CIPHER *EVP_aes_256_cbc_hmac_sha256(void)
{
return NULL;
}
-#endif
+#endif /* AESNI_ASM */
diff --git a/crypto/evp/e_aria.c b/crypto/evp/e_aria.c
index fcaceb3b..1cc6dd91 100644
--- a/crypto/evp/e_aria.c
+++ b/crypto/evp/e_aria.c
@@ -14,10 +14,10 @@
# include <openssl/modes.h>
# include <openssl/rand.h>
# include <openssl/rand_drbg.h>
-# include "internal/aria.h"
-# include "internal/evp_int.h"
-# include "modes_lcl.h"
-# include "evp_locl.h"
+# include "crypto/aria.h"
+# include "crypto/evp.h"
+# include "modes_local.h"
+# include "evp_local.h"
/* ARIA subkey Structure */
typedef struct {
@@ -695,8 +695,6 @@ static int aria_ccm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
if (!cctx->iv_set)
return -1;
- if (!EVP_CIPHER_CTX_encrypting(ctx) && !cctx->tag_set)
- return -1;
if (!out) {
if (!in) {
if (CRYPTO_ccm128_setiv(ccm, EVP_CIPHER_CTX_iv_noconst(ctx),
@@ -711,6 +709,11 @@ static int aria_ccm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
CRYPTO_ccm128_aad(ccm, in, len);
return len;
}
+
+ /* The tag must be set before actually decrypting data */
+ if (!EVP_CIPHER_CTX_encrypting(ctx) && !cctx->tag_set)
+ return -1;
+
/* If not set length yet do it */
if (!cctx->len_set) {
if (CRYPTO_ccm128_setiv(ccm, EVP_CIPHER_CTX_iv_noconst(ctx),
diff --git a/crypto/evp/e_bf.c b/crypto/evp/e_bf.c
index dc386905..9a065582 100644
--- a/crypto/evp/e_bf.c
+++ b/crypto/evp/e_bf.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#ifndef OPENSSL_NO_BF
# include <openssl/evp.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/objects.h>
# include <openssl/blowfish.h>
diff --git a/crypto/evp/e_camellia.c b/crypto/evp/e_camellia.c
index 2df4a6e3..502d6936 100644
--- a/crypto/evp/e_camellia.c
+++ b/crypto/evp/e_camellia.c
@@ -17,8 +17,8 @@ NON_EMPTY_TRANSLATION_UNIT
# include <string.h>
# include <assert.h>
# include <openssl/camellia.h>
-# include "internal/evp_int.h"
-# include "modes_lcl.h"
+# include "crypto/evp.h"
+# include "modes_local.h"
static int camellia_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
const unsigned char *iv, int enc);
diff --git a/crypto/evp/e_cast.c b/crypto/evp/e_cast.c
index 259d4405..df9f445b 100644
--- a/crypto/evp/e_cast.c
+++ b/crypto/evp/e_cast.c
@@ -13,7 +13,7 @@
#ifndef OPENSSL_NO_CAST
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/cast.h>
static int cast_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
diff --git a/crypto/evp/e_chacha20_poly1305.c b/crypto/evp/e_chacha20_poly1305.c
index 435a38d3..bdc406bb 100644
--- a/crypto/evp/e_chacha20_poly1305.c
+++ b/crypto/evp/e_chacha20_poly1305.c
@@ -14,9 +14,9 @@
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "evp_locl.h"
-# include "internal/evp_int.h"
-# include "internal/chacha.h"
+# include "evp_local.h"
+# include "crypto/evp.h"
+# include "crypto/chacha.h"
typedef struct {
union {
@@ -146,7 +146,7 @@ const EVP_CIPHER *EVP_chacha20(void)
}
# ifndef OPENSSL_NO_POLY1305
-# include "internal/poly1305.h"
+# include "crypto/poly1305.h"
typedef struct {
EVP_CHACHA_KEY key;
diff --git a/crypto/evp/e_des.c b/crypto/evp/e_des.c
index c13fb3e2..6d6e919a 100644
--- a/crypto/evp/e_des.c
+++ b/crypto/evp/e_des.c
@@ -12,7 +12,7 @@
#ifndef OPENSSL_NO_DES
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/des.h>
# include <openssl/rand.h>
diff --git a/crypto/evp/e_des3.c b/crypto/evp/e_des3.c
index 6b492ce4..2a5597fe 100644
--- a/crypto/evp/e_des3.c
+++ b/crypto/evp/e_des3.c
@@ -12,10 +12,10 @@
#ifndef OPENSSL_NO_DES
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/des.h>
# include <openssl/rand.h>
-# include "evp_locl.h"
+# include "evp_local.h"
typedef struct {
union {
diff --git a/crypto/evp/e_idea.c b/crypto/evp/e_idea.c
index 93f6a413..1068378d 100644
--- a/crypto/evp/e_idea.c
+++ b/crypto/evp/e_idea.c
@@ -13,7 +13,7 @@
#ifndef OPENSSL_NO_IDEA
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/idea.h>
/* Can't use IMPLEMENT_BLOCK_CIPHER because IDEA_ecb_encrypt is different */
diff --git a/crypto/evp/e_null.c b/crypto/evp/e_null.c
index 18a84682..0725454a 100644
--- a/crypto/evp/e_null.c
+++ b/crypto/evp/e_null.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/objects.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
static int null_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
const unsigned char *iv, int enc);
diff --git a/crypto/evp/e_rc2.c b/crypto/evp/e_rc2.c
index aa0d1401..4d8a0ee4 100644
--- a/crypto/evp/e_rc2.c
+++ b/crypto/evp/e_rc2.c
@@ -14,7 +14,7 @@
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/rc2.h>
static int rc2_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
diff --git a/crypto/evp/e_rc4.c b/crypto/evp/e_rc4.c
index d16abdd0..c24bc8fe 100644
--- a/crypto/evp/e_rc4.c
+++ b/crypto/evp/e_rc4.c
@@ -16,7 +16,7 @@
# include <openssl/objects.h>
# include <openssl/rc4.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
typedef struct {
RC4_KEY ks; /* working key */
diff --git a/crypto/evp/e_rc4_hmac_md5.c b/crypto/evp/e_rc4_hmac_md5.c
index b1e8ccd6..201ce443 100644
--- a/crypto/evp/e_rc4_hmac_md5.c
+++ b/crypto/evp/e_rc4_hmac_md5.c
@@ -19,7 +19,7 @@
# include <openssl/objects.h>
# include <openssl/rc4.h>
# include <openssl/md5.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
typedef struct {
RC4_KEY ks;
diff --git a/crypto/evp/e_rc5.c b/crypto/evp/e_rc5.c
index dc5589b6..c86e87b6 100644
--- a/crypto/evp/e_rc5.c
+++ b/crypto/evp/e_rc5.c
@@ -13,9 +13,9 @@
#ifndef OPENSSL_NO_RC5
# include <openssl/evp.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/objects.h>
-# include "evp_locl.h"
+# include "evp_local.h"
# include <openssl/rc5.h>
static int r_32_12_16_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
diff --git a/crypto/evp/e_seed.c b/crypto/evp/e_seed.c
index 40aec5fc..aeb2363b 100644
--- a/crypto/evp/e_seed.c
+++ b/crypto/evp/e_seed.c
@@ -16,7 +16,7 @@ NON_EMPTY_TRANSLATION_UNIT
# include <string.h>
# include <assert.h>
# include <openssl/seed.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
static int seed_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
const unsigned char *iv, int enc);
diff --git a/crypto/evp/e_sm4.c b/crypto/evp/e_sm4.c
index 79deb656..fce32794 100644
--- a/crypto/evp/e_sm4.c
+++ b/crypto/evp/e_sm4.c
@@ -13,8 +13,8 @@
#ifndef OPENSSL_NO_SM4
# include <openssl/evp.h>
# include <openssl/modes.h>
-# include "internal/sm4.h"
-# include "internal/evp_int.h"
+# include "crypto/sm4.h"
+# include "crypto/evp.h"
typedef struct {
SM4_KEY ks;
diff --git a/crypto/evp/e_xcbc_d.c b/crypto/evp/e_xcbc_d.c
index 57ce813d..b7307754 100644
--- a/crypto/evp/e_xcbc_d.c
+++ b/crypto/evp/e_xcbc_d.c
@@ -14,7 +14,7 @@
# include <openssl/evp.h>
# include <openssl/objects.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/des.h>
static int desx_cbc_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
diff --git a/crypto/evp/encode.c b/crypto/evp/encode.c
index da32d4fd..85926434 100644
--- a/crypto/evp/encode.c
+++ b/crypto/evp/encode.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,8 +11,8 @@
#include <limits.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "evp_locl.h"
-#include "internal/evp_int.h"
+#include "evp_local.h"
+#include "crypto/evp.h"
static unsigned char conv_ascii2bin(unsigned char a,
const unsigned char *table);
@@ -423,7 +423,7 @@ static int evp_decodeblock_int(EVP_ENCODE_CTX *ctx, unsigned char *t,
table = data_ascii2bin;
/* trim white space from the start of the line. */
- while ((conv_ascii2bin(*f, table) == B64_WS) && (n > 0)) {
+ while ((n > 0) && (conv_ascii2bin(*f, table) == B64_WS)) {
f++;
n--;
}
diff --git a/crypto/evp/evp_enc.c b/crypto/evp/evp_enc.c
index 05dd791b..0843caf4 100644
--- a/crypto/evp/evp_enc.c
+++ b/crypto/evp/evp_enc.c
@@ -8,6 +8,7 @@
*/
#include <stdio.h>
+#include <limits.h>
#include <assert.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
@@ -15,8 +16,8 @@
#include <openssl/rand.h>
#include <openssl/rand_drbg.h>
#include <openssl/engine.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
int EVP_CIPHER_CTX_reset(EVP_CIPHER_CTX *c)
{
@@ -305,6 +306,17 @@ static int evp_EncryptDecryptUpdate(EVP_CIPHER_CTX *ctx,
bl = ctx->cipher->block_size;
+ /*
+ * CCM mode needs to know about the case where inl == 0 && in == NULL - it
+ * means the plaintext/ciphertext length is 0
+ */
+ if (inl < 0
+ || (inl == 0
+ && EVP_CIPHER_mode(ctx->cipher) != EVP_CIPH_CCM_MODE)) {
+ *outl = 0;
+ return inl == 0;
+ }
+
if (ctx->cipher->flags & EVP_CIPH_FLAG_CUSTOM_CIPHER) {
/* If block size > 1 then the cipher will have to do this check */
if (bl == 1 && is_partially_overlapping(out, in, cmpl)) {
@@ -320,10 +332,6 @@ static int evp_EncryptDecryptUpdate(EVP_CIPHER_CTX *ctx,
return 1;
}
- if (inl <= 0) {
- *outl = 0;
- return inl == 0;
- }
if (is_partially_overlapping(out + ctx->buf_len, in, cmpl)) {
EVPerr(EVP_F_EVP_ENCRYPTDECRYPTUPDATE, EVP_R_PARTIALLY_OVERLAPPING);
return 0;
@@ -348,6 +356,19 @@ static int evp_EncryptDecryptUpdate(EVP_CIPHER_CTX *ctx,
return 1;
} else {
j = bl - i;
+
+ /*
+ * Once we've processed the first j bytes from in, the amount of
+ * data left that is a multiple of the block length is:
+ * (inl - j) & ~(bl - 1)
+ * We must ensure that this amount of data, plus the one block that
+ * we process from ctx->buf does not exceed INT_MAX
+ */
+ if (((inl - j) & ~(bl - 1)) > INT_MAX - bl) {
+ EVPerr(EVP_F_EVP_ENCRYPTDECRYPTUPDATE,
+ EVP_R_OUTPUT_WOULD_OVERFLOW);
+ return 0;
+ }
memcpy(&(ctx->buf[i]), in, j);
inl -= j;
in += j;
@@ -457,6 +478,17 @@ int EVP_DecryptUpdate(EVP_CIPHER_CTX *ctx, unsigned char *out, int *outl,
if (EVP_CIPHER_CTX_test_flags(ctx, EVP_CIPH_FLAG_LENGTH_BITS))
cmpl = (cmpl + 7) / 8;
+ /*
+ * CCM mode needs to know about the case where inl == 0 - it means the
+ * plaintext/ciphertext length is 0
+ */
+ if (inl < 0
+ || (inl == 0
+ && EVP_CIPHER_mode(ctx->cipher) != EVP_CIPH_CCM_MODE)) {
+ *outl = 0;
+ return inl == 0;
+ }
+
if (ctx->cipher->flags & EVP_CIPH_FLAG_CUSTOM_CIPHER) {
if (b == 1 && is_partially_overlapping(out, in, cmpl)) {
EVPerr(EVP_F_EVP_DECRYPTUPDATE, EVP_R_PARTIALLY_OVERLAPPING);
@@ -472,11 +504,6 @@ int EVP_DecryptUpdate(EVP_CIPHER_CTX *ctx, unsigned char *out, int *outl,
return 1;
}
- if (inl <= 0) {
- *outl = 0;
- return inl == 0;
- }
-
if (ctx->flags & EVP_CIPH_NO_PADDING)
return evp_EncryptDecryptUpdate(ctx, out, outl, in, inl);
@@ -489,6 +516,19 @@ int EVP_DecryptUpdate(EVP_CIPHER_CTX *ctx, unsigned char *out, int *outl,
EVPerr(EVP_F_EVP_DECRYPTUPDATE, EVP_R_PARTIALLY_OVERLAPPING);
return 0;
}
+ /*
+ * final_used is only ever set if buf_len is 0. Therefore the maximum
+ * length output we will ever see from evp_EncryptDecryptUpdate is
+ * the maximum multiple of the block length that is <= inl, or just:
+ * inl & ~(b - 1)
+ * Since final_used has been set then the final output length is:
+ * (inl & ~(b - 1)) + b
+ * This must never exceed INT_MAX
+ */
+ if ((inl & ~(b - 1)) > INT_MAX - b) {
+ EVPerr(EVP_F_EVP_DECRYPTUPDATE, EVP_R_OUTPUT_WOULD_OVERFLOW);
+ return 0;
+ }
memcpy(out, ctx->final, b);
out += b;
fix_len = 1;
diff --git a/crypto/evp/evp_err.c b/crypto/evp/evp_err.c
index 84bd3c2d..32ac0125 100644
--- a/crypto/evp/evp_err.c
+++ b/crypto/evp/evp_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -213,6 +213,7 @@ static const ERR_STRING_DATA EVP_str_reasons[] = {
"input not initialized"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_INVALID_DIGEST), "invalid digest"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_INVALID_FIPS_MODE), "invalid fips mode"},
+ {ERR_PACK(ERR_LIB_EVP, 0, EVP_R_INVALID_IV_LENGTH), "invalid iv length"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_INVALID_KEY), "invalid key"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_INVALID_KEY_LENGTH), "invalid key length"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_INVALID_OPERATION), "invalid operation"},
@@ -238,6 +239,8 @@ static const ERR_STRING_DATA EVP_str_reasons[] = {
"operation not supported for this keytype"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_OPERATON_NOT_INITIALIZED),
"operaton not initialized"},
+ {ERR_PACK(ERR_LIB_EVP, 0, EVP_R_OUTPUT_WOULD_OVERFLOW),
+ "output would overflow"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_PARTIALLY_OVERLAPPING),
"partially overlapping buffers"},
{ERR_PACK(ERR_LIB_EVP, 0, EVP_R_PBKDF2_ERROR), "pbkdf2 error"},
diff --git a/crypto/evp/evp_lib.c b/crypto/evp/evp_lib.c
index 4935c2a9..45cde0da 100644
--- a/crypto/evp/evp_lib.c
+++ b/crypto/evp/evp_lib.c
@@ -11,8 +11,8 @@
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/objects.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
int EVP_CIPHER_param_to_asn1(EVP_CIPHER_CTX *c, ASN1_TYPE *type)
{
diff --git a/crypto/evp/evp_locl.h b/crypto/evp/evp_local.h
similarity index 100%
rename from crypto/evp/evp_locl.h
rename to crypto/evp/evp_local.h
diff --git a/crypto/evp/evp_pbe.c b/crypto/evp/evp_pbe.c
index 5a88817b..967203f3 100644
--- a/crypto/evp/evp_pbe.c
+++ b/crypto/evp/evp_pbe.c
@@ -12,7 +12,7 @@
#include <openssl/evp.h>
#include <openssl/pkcs12.h>
#include <openssl/x509.h>
-#include "evp_locl.h"
+#include "evp_local.h"
/* Password based encryption (PBE) functions */
diff --git a/crypto/evp/evp_pkey.c b/crypto/evp/evp_pkey.c
index e61a8761..586b7460 100644
--- a/crypto/evp/evp_pkey.c
+++ b/crypto/evp/evp_pkey.c
@@ -12,9 +12,9 @@
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/rand.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
-#include "internal/x509_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
+#include "crypto/x509.h"
/* Extract a private key from a PKCS8 structure */
diff --git a/crypto/evp/m_md2.c b/crypto/evp/m_md2.c
index c4e28ae1..1aec5185 100644
--- a/crypto/evp/m_md2.c
+++ b/crypto/evp/m_md2.c
@@ -18,7 +18,7 @@
# include <openssl/md2.h>
# include <openssl/rsa.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_md4.c b/crypto/evp/m_md4.c
index 0efc586d..45d2cafe 100644
--- a/crypto/evp/m_md4.c
+++ b/crypto/evp/m_md4.c
@@ -17,7 +17,7 @@
# include <openssl/x509.h>
# include <openssl/md4.h>
# include <openssl/rsa.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_md5.c b/crypto/evp/m_md5.c
index 3d96ae93..d26b5a4d 100644
--- a/crypto/evp/m_md5.c
+++ b/crypto/evp/m_md5.c
@@ -17,7 +17,7 @@
# include <openssl/x509.h>
# include <openssl/md5.h>
# include <openssl/rsa.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_md5_sha1.c b/crypto/evp/m_md5_sha1.c
index 2d98886b..eeec2b13 100644
--- a/crypto/evp/m_md5_sha1.c
+++ b/crypto/evp/m_md5_sha1.c
@@ -15,7 +15,7 @@
# include <openssl/md5.h>
# include <openssl/sha.h>
# include "internal/cryptlib.h"
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/rsa.h>
struct md5_sha1_ctx {
diff --git a/crypto/evp/m_mdc2.c b/crypto/evp/m_mdc2.c
index 1051a907..fffa751e 100644
--- a/crypto/evp/m_mdc2.c
+++ b/crypto/evp/m_mdc2.c
@@ -17,7 +17,7 @@
# include <openssl/x509.h>
# include <openssl/mdc2.h>
# include <openssl/rsa.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_null.c b/crypto/evp/m_null.c
index 5dce1d51..0847139d 100644
--- a/crypto/evp/m_null.c
+++ b/crypto/evp/m_null.c
@@ -12,7 +12,7 @@
#include <openssl/evp.h>
#include <openssl/objects.h>
#include <openssl/x509.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_ripemd.c b/crypto/evp/m_ripemd.c
index 7ab32084..d93ad24f 100644
--- a/crypto/evp/m_ripemd.c
+++ b/crypto/evp/m_ripemd.c
@@ -17,7 +17,7 @@
# include <openssl/objects.h>
# include <openssl/x509.h>
# include <openssl/rsa.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_sha1.c b/crypto/evp/m_sha1.c
index ac524178..22b9bbc7 100644
--- a/crypto/evp/m_sha1.c
+++ b/crypto/evp/m_sha1.c
@@ -14,8 +14,8 @@
#include <openssl/objects.h>
#include <openssl/sha.h>
#include <openssl/rsa.h>
-#include "internal/evp_int.h"
-#include "internal/sha.h"
+#include "crypto/evp.h"
+#include "crypto/sha.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/m_sha3.c b/crypto/evp/m_sha3.c
index 01cf57d3..54c592a3 100644
--- a/crypto/evp/m_sha3.c
+++ b/crypto/evp/m_sha3.c
@@ -12,8 +12,8 @@
#include <openssl/evp.h>
#include <openssl/objects.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
size_t SHA3_absorb(uint64_t A[5][5], const unsigned char *inp, size_t len,
size_t r);
diff --git a/crypto/evp/m_sigver.c b/crypto/evp/m_sigver.c
index 94e37f02..04643acc 100644
--- a/crypto/evp/m_sigver.c
+++ b/crypto/evp/m_sigver.c
@@ -12,8 +12,8 @@
#include <openssl/evp.h>
#include <openssl/objects.h>
#include <openssl/x509.h>
-#include "internal/evp_int.h"
-#include "evp_locl.h"
+#include "crypto/evp.h"
+#include "evp_local.h"
static int update(EVP_MD_CTX *ctx, const void *data, size_t datalen)
{
diff --git a/crypto/evp/m_wp.c b/crypto/evp/m_wp.c
index 27e2b3c5..5ce15d2d 100644
--- a/crypto/evp/m_wp.c
+++ b/crypto/evp/m_wp.c
@@ -16,7 +16,7 @@
# include <openssl/objects.h>
# include <openssl/x509.h>
# include <openssl/whrlpool.h>
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/evp/names.c b/crypto/evp/names.c
index 077c2a6c..90c7b73b 100644
--- a/crypto/evp/names.c
+++ b/crypto/evp/names.c
@@ -10,9 +10,9 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "internal/objects.h"
+#include "crypto/objects.h"
#include <openssl/x509.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
int EVP_add_cipher(const EVP_CIPHER *c)
{
diff --git a/crypto/evp/p5_crpt.c b/crypto/evp/p5_crpt.c
index 7e55d0bf..6c5f45f7 100644
--- a/crypto/evp/p5_crpt.c
+++ b/crypto/evp/p5_crpt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -28,7 +28,7 @@ int PKCS5_PBE_keyivgen(EVP_CIPHER_CTX *cctx, const char *pass, int passlen,
EVP_MD_CTX *ctx;
unsigned char md_tmp[EVP_MAX_MD_SIZE];
unsigned char key[EVP_MAX_KEY_LENGTH], iv[EVP_MAX_IV_LENGTH];
- int i;
+ int i, ivl, kl;
PBEPARAM *pbe;
int saltlen, iter;
unsigned char *salt;
@@ -48,6 +48,19 @@ int PKCS5_PBE_keyivgen(EVP_CIPHER_CTX *cctx, const char *pass, int passlen,
return 0;
}
+ ivl = EVP_CIPHER_iv_length(cipher);
+ if (ivl < 0 || ivl > 16) {
+ EVPerr(EVP_F_PKCS5_PBE_KEYIVGEN, EVP_R_INVALID_IV_LENGTH);
+ PBEPARAM_free(pbe);
+ return 0;
+ }
+ kl = EVP_CIPHER_key_length(cipher);
+ if (kl < 0 || kl > (int)sizeof(md_tmp)) {
+ EVPerr(EVP_F_PKCS5_PBE_KEYIVGEN, EVP_R_INVALID_KEY_LENGTH);
+ PBEPARAM_free(pbe);
+ return 0;
+ }
+
if (!pbe->iter)
iter = 1;
else
@@ -73,6 +86,7 @@ int PKCS5_PBE_keyivgen(EVP_CIPHER_CTX *cctx, const char *pass, int passlen,
if (!EVP_DigestUpdate(ctx, salt, saltlen))
goto err;
PBEPARAM_free(pbe);
+ pbe = NULL;
if (!EVP_DigestFinal_ex(ctx, md_tmp, NULL))
goto err;
mdsize = EVP_MD_size(md);
@@ -86,11 +100,8 @@ int PKCS5_PBE_keyivgen(EVP_CIPHER_CTX *cctx, const char *pass, int passlen,
if (!EVP_DigestFinal_ex(ctx, md_tmp, NULL))
goto err;
}
- OPENSSL_assert(EVP_CIPHER_key_length(cipher) <= (int)sizeof(md_tmp));
- memcpy(key, md_tmp, EVP_CIPHER_key_length(cipher));
- OPENSSL_assert(EVP_CIPHER_iv_length(cipher) <= 16);
- memcpy(iv, md_tmp + (16 - EVP_CIPHER_iv_length(cipher)),
- EVP_CIPHER_iv_length(cipher));
+ memcpy(key, md_tmp, kl);
+ memcpy(iv, md_tmp + (16 - ivl), ivl);
if (!EVP_CipherInit_ex(cctx, cipher, NULL, key, iv, en_de))
goto err;
OPENSSL_cleanse(md_tmp, EVP_MAX_MD_SIZE);
@@ -98,6 +109,7 @@ int PKCS5_PBE_keyivgen(EVP_CIPHER_CTX *cctx, const char *pass, int passlen,
OPENSSL_cleanse(iv, EVP_MAX_IV_LENGTH);
rv = 1;
err:
+ PBEPARAM_free(pbe);
EVP_MD_CTX_free(ctx);
return rv;
}
diff --git a/crypto/evp/p5_crpt2.c b/crypto/evp/p5_crpt2.c
index e819eb9b..7f625b3d 100644
--- a/crypto/evp/p5_crpt2.c
+++ b/crypto/evp/p5_crpt2.c
@@ -13,7 +13,7 @@
# include <openssl/x509.h>
# include <openssl/evp.h>
# include <openssl/hmac.h>
-# include "evp_locl.h"
+# include "evp_local.h"
/* set this to print out info about the keygen algorithm */
/* #define OPENSSL_DEBUG_PKCS5V2 */
diff --git a/crypto/evp/p_lib.c b/crypto/evp/p_lib.c
index 3cd7ca8d..9f1a485a 100644
--- a/crypto/evp/p_lib.c
+++ b/crypto/evp/p_lib.c
@@ -21,8 +21,8 @@
#include <openssl/cmac.h>
#include <openssl/engine.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
static void EVP_PKEY_free_it(EVP_PKEY *x);
@@ -102,7 +102,7 @@ int EVP_PKEY_copy_parameters(EVP_PKEY *to, const EVP_PKEY *from)
int EVP_PKEY_missing_parameters(const EVP_PKEY *pkey)
{
- if (pkey->ameth && pkey->ameth->param_missing)
+ if (pkey != NULL && pkey->ameth && pkey->ameth->param_missing)
return pkey->ameth->param_missing(pkey);
return 0;
}
@@ -465,7 +465,7 @@ int EVP_PKEY_set1_RSA(EVP_PKEY *pkey, RSA *key)
RSA *EVP_PKEY_get0_RSA(EVP_PKEY *pkey)
{
- if (pkey->type != EVP_PKEY_RSA) {
+ if (pkey->type != EVP_PKEY_RSA && pkey->type != EVP_PKEY_RSA_PSS) {
EVPerr(EVP_F_EVP_PKEY_GET0_RSA, EVP_R_EXPECTING_AN_RSA_KEY);
return NULL;
}
@@ -540,7 +540,9 @@ EC_KEY *EVP_PKEY_get1_EC_KEY(EVP_PKEY *pkey)
int EVP_PKEY_set1_DH(EVP_PKEY *pkey, DH *key)
{
- int ret = EVP_PKEY_assign_DH(pkey, key);
+ int type = DH_get0_q(key) == NULL ? EVP_PKEY_DH : EVP_PKEY_DHX;
+ int ret = EVP_PKEY_assign(pkey, type, key);
+
if (ret)
DH_up_ref(key);
return ret;
diff --git a/crypto/evp/p_sign.c b/crypto/evp/p_sign.c
index 6cb442e4..0383294a 100644
--- a/crypto/evp/p_sign.c
+++ b/crypto/evp/p_sign.c
@@ -12,7 +12,7 @@
#include <openssl/evp.h>
#include <openssl/objects.h>
#include <openssl/x509.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
int EVP_SignFinal(EVP_MD_CTX *ctx, unsigned char *sigret,
unsigned int *siglen, EVP_PKEY *pkey)
diff --git a/crypto/evp/p_verify.c b/crypto/evp/p_verify.c
index 6e8c565d..e27196f7 100644
--- a/crypto/evp/p_verify.c
+++ b/crypto/evp/p_verify.c
@@ -12,7 +12,7 @@
#include <openssl/evp.h>
#include <openssl/objects.h>
#include <openssl/x509.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
int EVP_VerifyFinal(EVP_MD_CTX *ctx, const unsigned char *sigbuf,
unsigned int siglen, EVP_PKEY *pkey)
diff --git a/crypto/evp/pmeth_fn.c b/crypto/evp/pmeth_fn.c
index de1c07e1..02f40934 100644
--- a/crypto/evp/pmeth_fn.c
+++ b/crypto/evp/pmeth_fn.c
@@ -12,7 +12,7 @@
#include "internal/cryptlib.h"
#include <openssl/objects.h>
#include <openssl/evp.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#define M_check_autoarg(ctx, arg, arglen, err) \
if (ctx->pmeth->flags & EVP_PKEY_FLAG_AUTOARGLEN) { \
diff --git a/crypto/evp/pmeth_gn.c b/crypto/evp/pmeth_gn.c
index e14965f3..3ad6d5c7 100644
--- a/crypto/evp/pmeth_gn.c
+++ b/crypto/evp/pmeth_gn.c
@@ -12,9 +12,9 @@
#include "internal/cryptlib.h"
#include <openssl/objects.h>
#include <openssl/evp.h>
-#include "internal/bn_int.h"
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/bn.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
int EVP_PKEY_paramgen_init(EVP_PKEY_CTX *ctx)
{
diff --git a/crypto/evp/pmeth_lib.c b/crypto/evp/pmeth_lib.c
index 7fbf895e..603ccd83 100644
--- a/crypto/evp/pmeth_lib.c
+++ b/crypto/evp/pmeth_lib.c
@@ -13,8 +13,8 @@
#include <openssl/engine.h>
#include <openssl/evp.h>
#include <openssl/x509v3.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
#include "internal/numbers.h"
typedef int sk_cmp_fn_type(const char *const *a, const char *const *b);
@@ -642,6 +642,21 @@ void EVP_PKEY_meth_set_ctrl(EVP_PKEY_METHOD *pmeth,
pmeth->ctrl_str = ctrl_str;
}
+void EVP_PKEY_meth_set_digestsign(EVP_PKEY_METHOD *pmeth,
+ int (*digestsign) (EVP_MD_CTX *ctx, unsigned char *sig, size_t *siglen,
+ const unsigned char *tbs, size_t tbslen))
+{
+ pmeth->digestsign = digestsign;
+}
+
+void EVP_PKEY_meth_set_digestverify(EVP_PKEY_METHOD *pmeth,
+ int (*digestverify) (EVP_MD_CTX *ctx, const unsigned char *sig,
+ size_t siglen, const unsigned char *tbs,
+ size_t tbslen))
+{
+ pmeth->digestverify = digestverify;
+}
+
void EVP_PKEY_meth_set_check(EVP_PKEY_METHOD *pmeth,
int (*check) (EVP_PKEY *pkey))
{
@@ -834,6 +849,23 @@ void EVP_PKEY_meth_get_ctrl(const EVP_PKEY_METHOD *pmeth,
*pctrl_str = pmeth->ctrl_str;
}
+void EVP_PKEY_meth_get_digestsign(EVP_PKEY_METHOD *pmeth,
+ int (**digestsign) (EVP_MD_CTX *ctx, unsigned char *sig, size_t *siglen,
+ const unsigned char *tbs, size_t tbslen))
+{
+ if (digestsign)
+ *digestsign = pmeth->digestsign;
+}
+
+void EVP_PKEY_meth_get_digestverify(EVP_PKEY_METHOD *pmeth,
+ int (**digestverify) (EVP_MD_CTX *ctx, const unsigned char *sig,
+ size_t siglen, const unsigned char *tbs,
+ size_t tbslen))
+{
+ if (digestverify)
+ *digestverify = pmeth->digestverify;
+}
+
void EVP_PKEY_meth_get_check(const EVP_PKEY_METHOD *pmeth,
int (**pcheck) (EVP_PKEY *pkey))
{
diff --git a/crypto/ex_data.c b/crypto/ex_data.c
index 08dc7c40..0f5a9295 100644
--- a/crypto/ex_data.c
+++ b/crypto/ex_data.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include "internal/thread_once.h"
/*
@@ -235,7 +235,7 @@ int CRYPTO_new_ex_data(int class_index, void *obj, CRYPTO_EX_DATA *ad)
return 0;
}
for (i = 0; i < mx; i++) {
- if (storage[i] && storage[i]->new_func) {
+ if (storage[i] != NULL && storage[i]->new_func != NULL) {
ptr = CRYPTO_get_ex_data(ad, i);
storage[i]->new_func(obj, ptr, ad, i,
storage[i]->argl, storage[i]->argp);
@@ -299,7 +299,7 @@ int CRYPTO_dup_ex_data(int class_index, CRYPTO_EX_DATA *to,
for (i = 0; i < mx; i++) {
ptr = CRYPTO_get_ex_data(from, i);
- if (storage[i] && storage[i]->dup_func)
+ if (storage[i] != NULL && storage[i]->dup_func != NULL)
if (!storage[i]->dup_func(to, from, &ptr, i,
storage[i]->argl, storage[i]->argp))
goto err;
diff --git a/crypto/hmac/hm_ameth.c b/crypto/hmac/hm_ameth.c
index fa204e90..638f61b5 100644
--- a/crypto/hmac/hm_ameth.c
+++ b/crypto/hmac/hm_ameth.c
@@ -10,8 +10,8 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
/*
* HMAC "ASN1" method. This is just here to indicate the maximum HMAC output
diff --git a/crypto/hmac/hm_pmeth.c b/crypto/hmac/hm_pmeth.c
index 55dd27d6..56f98707 100644
--- a/crypto/hmac/hm_pmeth.c
+++ b/crypto/hmac/hm_pmeth.c
@@ -14,7 +14,7 @@
#include <openssl/evp.h>
#include <openssl/hmac.h>
#include <openssl/err.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/* HMAC pkey context structure */
diff --git a/crypto/hmac/hmac.c b/crypto/hmac/hmac.c
index 0c0a7133..5e087bf9 100644
--- a/crypto/hmac/hmac.c
+++ b/crypto/hmac/hmac.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,21 +13,22 @@
#include "internal/cryptlib.h"
#include <openssl/hmac.h>
#include <openssl/opensslconf.h>
-#include "hmac_lcl.h"
+#include "hmac_local.h"
int HMAC_Init_ex(HMAC_CTX *ctx, const void *key, int len,
const EVP_MD *md, ENGINE *impl)
{
- int rv = 0;
- int i, j, reset = 0;
+ int rv = 0, reset = 0;
+ int i, j;
unsigned char pad[HMAC_MAX_MD_CBLOCK_SIZE];
+ unsigned int keytmp_length;
+ unsigned char keytmp[HMAC_MAX_MD_CBLOCK_SIZE];
/* If we are changing MD then we must have a key */
if (md != NULL && md != ctx->md && (key == NULL || len < 0))
return 0;
if (md != NULL) {
- reset = 1;
ctx->md = md;
} else if (ctx->md) {
md = ctx->md;
@@ -44,35 +45,34 @@ int HMAC_Init_ex(HMAC_CTX *ctx, const void *key, int len,
if (key != NULL) {
reset = 1;
+
j = EVP_MD_block_size(md);
- if (!ossl_assert(j <= (int)sizeof(ctx->key)))
+ if (!ossl_assert(j <= (int)sizeof(keytmp)))
return 0;
if (j < len) {
if (!EVP_DigestInit_ex(ctx->md_ctx, md, impl)
|| !EVP_DigestUpdate(ctx->md_ctx, key, len)
- || !EVP_DigestFinal_ex(ctx->md_ctx, ctx->key,
- &ctx->key_length))
+ || !EVP_DigestFinal_ex(ctx->md_ctx, keytmp,
+ &keytmp_length))
return 0;
} else {
- if (len < 0 || len > (int)sizeof(ctx->key))
+ if (len < 0 || len > (int)sizeof(keytmp))
return 0;
- memcpy(ctx->key, key, len);
- ctx->key_length = len;
+ memcpy(keytmp, key, len);
+ keytmp_length = len;
}
- if (ctx->key_length != HMAC_MAX_MD_CBLOCK_SIZE)
- memset(&ctx->key[ctx->key_length], 0,
- HMAC_MAX_MD_CBLOCK_SIZE - ctx->key_length);
- }
+ if (keytmp_length != HMAC_MAX_MD_CBLOCK_SIZE)
+ memset(&keytmp[keytmp_length], 0,
+ HMAC_MAX_MD_CBLOCK_SIZE - keytmp_length);
- if (reset) {
for (i = 0; i < HMAC_MAX_MD_CBLOCK_SIZE; i++)
- pad[i] = 0x36 ^ ctx->key[i];
+ pad[i] = 0x36 ^ keytmp[i];
if (!EVP_DigestInit_ex(ctx->i_ctx, md, impl)
|| !EVP_DigestUpdate(ctx->i_ctx, pad, EVP_MD_block_size(md)))
goto err;
for (i = 0; i < HMAC_MAX_MD_CBLOCK_SIZE; i++)
- pad[i] = 0x5c ^ ctx->key[i];
+ pad[i] = 0x5c ^ keytmp[i];
if (!EVP_DigestInit_ex(ctx->o_ctx, md, impl)
|| !EVP_DigestUpdate(ctx->o_ctx, pad, EVP_MD_block_size(md)))
goto err;
@@ -81,8 +81,10 @@ int HMAC_Init_ex(HMAC_CTX *ctx, const void *key, int len,
goto err;
rv = 1;
err:
- if (reset)
+ if (reset) {
+ OPENSSL_cleanse(keytmp, sizeof(keytmp));
OPENSSL_cleanse(pad, sizeof(pad));
+ }
return rv;
}
@@ -149,8 +151,6 @@ static void hmac_ctx_cleanup(HMAC_CTX *ctx)
EVP_MD_CTX_reset(ctx->o_ctx);
EVP_MD_CTX_reset(ctx->md_ctx);
ctx->md = NULL;
- ctx->key_length = 0;
- OPENSSL_cleanse(ctx->key, sizeof(ctx->key));
}
void HMAC_CTX_free(HMAC_CTX *ctx)
@@ -201,8 +201,6 @@ int HMAC_CTX_copy(HMAC_CTX *dctx, HMAC_CTX *sctx)
goto err;
if (!EVP_MD_CTX_copy_ex(dctx->md_ctx, sctx->md_ctx))
goto err;
- memcpy(dctx->key, sctx->key, HMAC_MAX_MD_CBLOCK_SIZE);
- dctx->key_length = sctx->key_length;
dctx->md = sctx->md;
return 1;
err:
diff --git a/crypto/hmac/hmac_lcl.h b/crypto/hmac/hmac_local.h
similarity index 71%
rename from crypto/hmac/hmac_lcl.h
rename to crypto/hmac/hmac_local.h
index 8fd83456..8bcc5581 100644
--- a/crypto/hmac/hmac_lcl.h
+++ b/crypto/hmac/hmac_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_HMAC_LCL_H
-# define HEADER_HMAC_LCL_H
+#ifndef OSSL_CRYPTO_HMAC_LOCAL_H
+# define OSSL_CRYPTO_HMAC_LOCAL_H
/* The current largest case is for SHA3-224 */
#define HMAC_MAX_MD_CBLOCK_SIZE 144
@@ -18,8 +18,6 @@ struct hmac_ctx_st {
EVP_MD_CTX *md_ctx;
EVP_MD_CTX *i_ctx;
EVP_MD_CTX *o_ctx;
- unsigned int key_length;
- unsigned char key[HMAC_MAX_MD_CBLOCK_SIZE];
};
#endif
diff --git a/crypto/idea/i_cbc.c b/crypto/idea/i_cbc.c
index a70a8682..4eff4671 100644
--- a/crypto/idea/i_cbc.c
+++ b/crypto/idea/i_cbc.c
@@ -8,7 +8,7 @@
*/
#include <openssl/idea.h>
-#include "idea_lcl.h"
+#include "idea_local.h"
void IDEA_cbc_encrypt(const unsigned char *in, unsigned char *out,
long length, IDEA_KEY_SCHEDULE *ks, unsigned char *iv,
diff --git a/crypto/idea/i_cfb64.c b/crypto/idea/i_cfb64.c
index daf467eb..61c72301 100644
--- a/crypto/idea/i_cfb64.c
+++ b/crypto/idea/i_cfb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/idea.h>
-#include "idea_lcl.h"
+#include "idea_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/idea/i_ecb.c b/crypto/idea/i_ecb.c
index 058d0c14..cb724e1a 100644
--- a/crypto/idea/i_ecb.c
+++ b/crypto/idea/i_ecb.c
@@ -8,7 +8,7 @@
*/
#include <openssl/idea.h>
-#include "idea_lcl.h"
+#include "idea_local.h"
#include <openssl/opensslv.h>
const char *IDEA_options(void)
diff --git a/crypto/idea/i_ofb64.c b/crypto/idea/i_ofb64.c
index 997a7b88..f000ced5 100644
--- a/crypto/idea/i_ofb64.c
+++ b/crypto/idea/i_ofb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/idea.h>
-#include "idea_lcl.h"
+#include "idea_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/idea/i_skey.c b/crypto/idea/i_skey.c
index 9d914558..230338d7 100644
--- a/crypto/idea/i_skey.c
+++ b/crypto/idea/i_skey.c
@@ -8,7 +8,7 @@
*/
#include <openssl/idea.h>
-#include "idea_lcl.h"
+#include "idea_local.h"
static IDEA_INT inverse(unsigned int xin);
void IDEA_set_encrypt_key(const unsigned char *key, IDEA_KEY_SCHEDULE *ks)
diff --git a/crypto/idea/idea_lcl.h b/crypto/idea/idea_local.h
similarity index 100%
rename from crypto/idea/idea_lcl.h
rename to crypto/idea/idea_local.h
diff --git a/crypto/include/internal/store.h b/crypto/include/internal/store.h
deleted file mode 100644
index f5013dc3..00000000
--- a/crypto/include/internal/store.h
+++ /dev/null
@@ -1,10 +0,0 @@
-/*
- * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
- *
- * Licensed under the OpenSSL license (the "License"). You may not use
- * this file except in compliance with the License. You can obtain a copy
- * in the file LICENSE in the source distribution or at
- * https://www.openssl.org/source/license.html
- */
-
-void ossl_store_cleanup_int(void);
diff --git a/crypto/init.c b/crypto/init.c
index 9fc0e8ef..1b0d523b 100644
--- a/crypto/init.c
+++ b/crypto/init.c
@@ -8,25 +8,25 @@
*/
#include "e_os.h"
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include <openssl/err.h>
-#include "internal/rand_int.h"
+#include "crypto/rand.h"
#include "internal/bio.h"
#include <openssl/evp.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#include "internal/conf.h"
-#include "internal/async.h"
-#include "internal/engine.h"
+#include "crypto/async.h"
+#include "crypto/engine.h"
#include "internal/comp.h"
#include "internal/err.h"
-#include "internal/err_int.h"
-#include "internal/objects.h"
+#include "crypto/err.h"
+#include "crypto/objects.h"
#include <stdlib.h>
#include <assert.h>
#include "internal/thread_once.h"
-#include "internal/dso_conf.h"
+#include "crypto/dso_conf.h"
#include "internal/dso.h"
-#include "internal/store.h"
+#include "crypto/store.h"
static int stopped = 0;
diff --git a/crypto/kdf/hkdf.c b/crypto/kdf/hkdf.c
index ae46fad6..25bf4b72 100644
--- a/crypto/kdf/hkdf.c
+++ b/crypto/kdf/hkdf.c
@@ -13,7 +13,7 @@
#include <openssl/kdf.h>
#include <openssl/evp.h>
#include "internal/cryptlib.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#define HKDF_MAXBUF 1024
diff --git a/crypto/kdf/scrypt.c b/crypto/kdf/scrypt.c
index 61fd390e..68606ac0 100644
--- a/crypto/kdf/scrypt.c
+++ b/crypto/kdf/scrypt.c
@@ -13,7 +13,7 @@
#include <openssl/kdf.h>
#include <openssl/evp.h>
#include "internal/cryptlib.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
#ifndef OPENSSL_NO_SCRYPT
diff --git a/crypto/kdf/tls1_prf.c b/crypto/kdf/tls1_prf.c
index 49f7ecce..e9ca8e12 100644
--- a/crypto/kdf/tls1_prf.c
+++ b/crypto/kdf/tls1_prf.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/kdf.h>
#include <openssl/evp.h>
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
static int tls1_prf_alg(const EVP_MD *md,
const unsigned char *sec, size_t slen,
diff --git a/crypto/lhash/lh_stats.c b/crypto/lhash/lh_stats.c
index 65b91e1e..45f1b105 100644
--- a/crypto/lhash/lh_stats.c
+++ b/crypto/lhash/lh_stats.c
@@ -18,7 +18,7 @@
#include <openssl/bio.h>
#include <openssl/lhash.h>
-#include "lhash_lcl.h"
+#include "lhash_local.h"
# ifndef OPENSSL_NO_STDIO
void OPENSSL_LH_stats(const OPENSSL_LHASH *lh, FILE *fp)
diff --git a/crypto/lhash/lhash.c b/crypto/lhash/lhash.c
index 485d4c3f..9dc887d9 100644
--- a/crypto/lhash/lhash.c
+++ b/crypto/lhash/lhash.c
@@ -13,9 +13,9 @@
#include <openssl/crypto.h>
#include <openssl/lhash.h>
#include <openssl/err.h>
-#include "internal/ctype.h"
-#include "internal/lhash.h"
-#include "lhash_lcl.h"
+#include "crypto/ctype.h"
+#include "crypto/lhash.h"
+#include "lhash_local.h"
/*
* A hashing implementation that appears to be based on the linear hashing
diff --git a/crypto/lhash/lhash_lcl.h b/crypto/lhash/lhash_local.h
similarity index 100%
rename from crypto/lhash/lhash_lcl.h
rename to crypto/lhash/lhash_local.h
diff --git a/crypto/md4/md4_dgst.c b/crypto/md4/md4_dgst.c
index 53196186..29b6b252 100644
--- a/crypto/md4/md4_dgst.c
+++ b/crypto/md4/md4_dgst.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <openssl/opensslv.h>
-#include "md4_locl.h"
+#include "md4_local.h"
/*
* Implemented from RFC1186 The MD4 Message-Digest Algorithm
@@ -39,7 +39,7 @@ void md4_block_data_order(MD4_CTX *c, const void *data_, size_t num)
const unsigned char *data = data_;
register unsigned MD32_REG_T A, B, C, D, l;
# ifndef MD32_XARRAY
- /* See comment in crypto/sha/sha_locl.h for details. */
+ /* See comment in crypto/sha/sha_local.h for details. */
unsigned MD32_REG_T XX0, XX1, XX2, XX3, XX4, XX5, XX6, XX7,
XX8, XX9, XX10, XX11, XX12, XX13, XX14, XX15;
# define X(i) XX##i
diff --git a/crypto/md4/md4_locl.h b/crypto/md4/md4_local.h
similarity index 96%
rename from crypto/md4/md4_locl.h
rename to crypto/md4/md4_local.h
index a6c4003f..5f05720e 100644
--- a/crypto/md4/md4_locl.h
+++ b/crypto/md4/md4_local.h
@@ -31,7 +31,7 @@ void md4_block_data_order(MD4_CTX *c, const void *p, size_t num);
} while (0)
#define HASH_BLOCK_DATA_ORDER md4_block_data_order
-#include "internal/md32_common.h"
+#include "crypto/md32_common.h"
/*-
#define F(x,y,z) (((x) & (y)) | ((~(x)) & (z)))
@@ -53,7 +53,7 @@ void md4_block_data_order(MD4_CTX *c, const void *p, size_t num);
#define R1(a,b,c,d,k,s,t) { \
a+=((k)+(t)+G((b),(c),(d))); \
- a=ROTATE(a,s); };\
+ a=ROTATE(a,s); };
#define R2(a,b,c,d,k,s,t) { \
a+=((k)+(t)+H((b),(c),(d))); \
diff --git a/crypto/md5/asm/md5-586.pl b/crypto/md5/asm/md5-586.pl
index 15e14864..7986a241 100644
--- a/crypto/md5/asm/md5-586.pl
+++ b/crypto/md5/asm/md5-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -43,7 +43,7 @@ $X="esi";
&md5_block("md5_block_asm_data_order");
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub Np
{
diff --git a/crypto/md5/asm/md5-sparcv9.pl b/crypto/md5/asm/md5-sparcv9.pl
index 6a62c625..3595e3d3 100644
--- a/crypto/md5/asm/md5-sparcv9.pl
+++ b/crypto/md5/asm/md5-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -434,4 +434,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/md5/asm/md5-x86_64.pl b/crypto/md5/asm/md5-x86_64.pl
index 386d8048..c6a172d4 100755
--- a/crypto/md5/asm/md5-x86_64.pl
+++ b/crypto/md5/asm/md5-x86_64.pl
@@ -1,6 +1,6 @@
#! /usr/bin/env perl
# Author: Marc Bevand <bevand_m (at) epita.fr>
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -390,4 +390,4 @@ ___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/md5/md5_dgst.c b/crypto/md5/md5_dgst.c
index fbede674..d84cba37 100644
--- a/crypto/md5/md5_dgst.c
+++ b/crypto/md5/md5_dgst.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "md5_locl.h"
+#include "md5_local.h"
#include <openssl/opensslv.h>
/*
@@ -39,7 +39,7 @@ void md5_block_data_order(MD5_CTX *c, const void *data_, size_t num)
const unsigned char *data = data_;
register unsigned MD32_REG_T A, B, C, D, l;
# ifndef MD32_XARRAY
- /* See comment in crypto/sha/sha_locl.h for details. */
+ /* See comment in crypto/sha/sha_local.h for details. */
unsigned MD32_REG_T XX0, XX1, XX2, XX3, XX4, XX5, XX6, XX7,
XX8, XX9, XX10, XX11, XX12, XX13, XX14, XX15;
# define X(i) XX##i
diff --git a/crypto/md5/md5_locl.h b/crypto/md5/md5_local.h
similarity index 98%
rename from crypto/md5/md5_locl.h
rename to crypto/md5/md5_local.h
index 4eb7e50e..b0087bea 100644
--- a/crypto/md5/md5_locl.h
+++ b/crypto/md5/md5_local.h
@@ -42,7 +42,7 @@ void md5_block_data_order(MD5_CTX *c, const void *p, size_t num);
} while (0)
#define HASH_BLOCK_DATA_ORDER md5_block_data_order
-#include "internal/md32_common.h"
+#include "crypto/md32_common.h"
/*-
#define F(x,y,z) (((x) & (y)) | ((~(x)) & (z)))
@@ -62,7 +62,7 @@ void md5_block_data_order(MD5_CTX *c, const void *p, size_t num);
#define R0(a,b,c,d,k,s,t) { \
a+=((k)+(t)+F((b),(c),(d))); \
a=ROTATE(a,s); \
- a+=b; };\
+ a+=b; };
#define R1(a,b,c,d,k,s,t) { \
a+=((k)+(t)+G((b),(c),(d))); \
diff --git a/crypto/mem.c b/crypto/mem.c
index 780053ff..2b39ca3a 100644
--- a/crypto/mem.c
+++ b/crypto/mem.c
@@ -9,7 +9,7 @@
#include "e_os.h"
#include "internal/cryptlib.h"
-#include "internal/cryptlib_int.h"
+#include "crypto/cryptlib.h"
#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
diff --git a/crypto/mem_sec.c b/crypto/mem_sec.c
index 9e0f6702..222c786c 100644
--- a/crypto/mem_sec.c
+++ b/crypto/mem_sec.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2004-2014, Akamai Technologies. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -34,6 +34,12 @@
# include <errno.h>
# endif
# endif
+# if defined(__FreeBSD__)
+# define MADV_DONTDUMP MADV_NOCORE
+# endif
+# if !defined(MAP_CONCEAL)
+# define MAP_CONCEAL 0
+# endif
# include <sys/param.h>
# include <sys/stat.h>
# include <fcntl.h>
@@ -442,7 +448,7 @@ static int sh_init(size_t size, int minsize)
if (1) {
#ifdef MAP_ANON
sh.map_result = mmap(NULL, sh.map_size,
- PROT_READ|PROT_WRITE, MAP_ANON|MAP_PRIVATE, -1, 0);
+ PROT_READ|PROT_WRITE, MAP_ANON|MAP_PRIVATE|MAP_CONCEAL, -1, 0);
} else {
#endif
int fd;
@@ -502,7 +508,7 @@ static void sh_done(void)
OPENSSL_free(sh.freelist);
OPENSSL_free(sh.bittable);
OPENSSL_free(sh.bitmalloc);
- if (sh.map_result != NULL && sh.map_size)
+ if (sh.map_result != MAP_FAILED && sh.map_size)
munmap(sh.map_result, sh.map_size);
memset(&sh, 0, sizeof(sh));
}
diff --git a/crypto/mips_arch.h b/crypto/mips_arch.h
index e18ac072..4ae1a1a9 100644
--- a/crypto/mips_arch.h
+++ b/crypto/mips_arch.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef __MIPS_ARCH_H__
-# define __MIPS_ARCH_H__
+#ifndef OSSL_CRYPTO_MIPS_ARCH_H
+# define OSSL_CRYPTO_MIPS_ARCH_H
# if (defined(__mips_smartmips) || defined(_MIPS_ARCH_MIPS32R3) || \
defined(_MIPS_ARCH_MIPS32R5) || defined(_MIPS_ARCH_MIPS32R6)) \
diff --git a/crypto/modes/asm/aesni-gcm-x86_64.pl b/crypto/modes/asm/aesni-gcm-x86_64.pl
index b4201610..60f03e4f 100644
--- a/crypto/modes/asm/aesni-gcm-x86_64.pl
+++ b/crypto/modes/asm/aesni-gcm-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -66,7 +66,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -90,6 +90,7 @@ $code=<<___;
.type _aesni_ctr32_ghash_6x,\@abi-omnipotent
.align 32
_aesni_ctr32_ghash_6x:
+.cfi_startproc
vmovdqu 0x20($const),$T2 # borrow $T2, .Lone_msb
sub \$6,$len
vpxor $Z0,$Z0,$Z0 # $Z0 = 0
@@ -397,6 +398,7 @@ _aesni_ctr32_ghash_6x:
vpxor $Z0,$Xi,$Xi # modulo-scheduled
ret
+.cfi_endproc
.size _aesni_ctr32_ghash_6x,.-_aesni_ctr32_ghash_6x
___
######################################################################
@@ -543,6 +545,7 @@ $code.=<<___;
.type _aesni_ctr32_6x,\@abi-omnipotent
.align 32
_aesni_ctr32_6x:
+.cfi_startproc
vmovdqu 0x00-0x80($key),$Z0 # borrow $Z0 for $rndkey
vmovdqu 0x20($const),$T2 # borrow $T2, .Lone_msb
lea -1($rounds),%r13
@@ -629,6 +632,7 @@ _aesni_ctr32_6x:
vpshufb $Ii,$T1,$T1 # next counter value
vpxor $Z0,$inout5,$inout5
jmp .Loop_ctr32
+.cfi_endproc
.size _aesni_ctr32_6x,.-_aesni_ctr32_6x
.globl aesni_gcm_encrypt
@@ -1079,15 +1083,19 @@ $code=<<___; # assembler is too old
.globl aesni_gcm_encrypt
.type aesni_gcm_encrypt,\@abi-omnipotent
aesni_gcm_encrypt:
+.cfi_startproc
xor %eax,%eax
ret
+.cfi_endproc
.size aesni_gcm_encrypt,.-aesni_gcm_encrypt
.globl aesni_gcm_decrypt
.type aesni_gcm_decrypt,\@abi-omnipotent
aesni_gcm_decrypt:
+.cfi_startproc
xor %eax,%eax
ret
+.cfi_endproc
.size aesni_gcm_decrypt,.-aesni_gcm_decrypt
___
}}}
@@ -1096,4 +1104,4 @@ $code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-alpha.pl b/crypto/modes/asm/ghash-alpha.pl
index ccf6b2bd..d8092072 100644
--- a/crypto/modes/asm/ghash-alpha.pl
+++ b/crypto/modes/asm/ghash-alpha.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -463,5 +463,5 @@ rem_4bit:
___
$output=pop and open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-armv4.pl b/crypto/modes/asm/ghash-armv4.pl
index dcc23f7d..d84ac6f2 100644
--- a/crypto/modes/asm/ghash-armv4.pl
+++ b/crypto/modes/asm/ghash-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -548,4 +548,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/modes/asm/ghash-c64xplus.pl b/crypto/modes/asm/ghash-c64xplus.pl
index 3cadda39..5826dcbd 100644
--- a/crypto/modes/asm/ghash-c64xplus.pl
+++ b/crypto/modes/asm/ghash-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -244,4 +244,4 @@ $code.=<<___;
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-ia64.pl b/crypto/modes/asm/ghash-ia64.pl
index eb9ded91..6e29f995 100755
--- a/crypto/modes/asm/ghash-ia64.pl
+++ b/crypto/modes/asm/ghash-ia64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -467,4 +467,4 @@ $code =~ s/mux1(\s+)\S+\@rev/nop.i$1 0x0/gm if ($big_endian);
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-parisc.pl b/crypto/modes/asm/ghash-parisc.pl
index a614c99c..d798b7ab 100644
--- a/crypto/modes/asm/ghash-parisc.pl
+++ b/crypto/modes/asm/ghash-parisc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -745,4 +745,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-s390x.pl b/crypto/modes/asm/ghash-s390x.pl
index 17dc3750..2f3ca295 100644
--- a/crypto/modes/asm/ghash-s390x.pl
+++ b/crypto/modes/asm/ghash-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -259,4 +259,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-sparcv9.pl b/crypto/modes/asm/ghash-sparcv9.pl
index c4eb3b1f..ccebc74b 100644
--- a/crypto/modes/asm/ghash-sparcv9.pl
+++ b/crypto/modes/asm/ghash-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -578,4 +578,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghash-x86.pl b/crypto/modes/asm/ghash-x86.pl
index bcbe6e39..4183d99b 100644
--- a/crypto/modes/asm/ghash-x86.pl
+++ b/crypto/modes/asm/ghash-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1378,7 +1378,7 @@ my ($Xhi,$Xi)=@_;
&asciz("GHASH for x86, CRYPTOGAMS by <appro\@openssl.org>");
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
# A question was risen about choice of vanilla MMX. Or rather why wasn't
# SSE2 chosen instead? In addition to the fact that MMX runs on legacy
diff --git a/crypto/modes/asm/ghash-x86_64.pl b/crypto/modes/asm/ghash-x86_64.pl
index 6b2a51ec..9bdba41d 100644
--- a/crypto/modes/asm/ghash-x86_64.pl
+++ b/crypto/modes/asm/ghash-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -116,7 +116,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -1815,4 +1815,4 @@ $code =~ s/\`([^\`]*)\`/eval($1)/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/modes/asm/ghashp8-ppc.pl b/crypto/modes/asm/ghashp8-ppc.pl
index 6a2ac712..447472cb 100755
--- a/crypto/modes/asm/ghashp8-ppc.pl
+++ b/crypto/modes/asm/ghashp8-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -668,4 +668,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/modes/asm/ghashv8-armx.pl b/crypto/modes/asm/ghashv8-armx.pl
index 47e88200..d0e398b5 100644
--- a/crypto/modes/asm/ghashv8-armx.pl
+++ b/crypto/modes/asm/ghashv8-armx.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -778,4 +778,4 @@ if ($flavour =~ /64/) { ######## 64-bit code
}
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/modes/cbc128.c b/crypto/modes/cbc128.c
index 4ce5eb2a..c85e37c6 100644
--- a/crypto/modes/cbc128.c
+++ b/crypto/modes/cbc128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,13 +8,19 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
#if !defined(STRICT_ALIGNMENT) && !defined(PEDANTIC)
# define STRICT_ALIGNMENT 0
#endif
+#if defined(__GNUC__) && !STRICT_ALIGNMENT
+typedef size_t size_t_aX __attribute((__aligned__(1)));
+#else
+typedef size_t size_t_aX;
+#endif
+
void CRYPTO_cbc128_encrypt(const unsigned char *in, unsigned char *out,
size_t len, const void *key,
unsigned char ivec[16], block128_f block)
@@ -40,8 +46,8 @@ void CRYPTO_cbc128_encrypt(const unsigned char *in, unsigned char *out,
} else {
while (len >= 16) {
for (n = 0; n < 16; n += sizeof(size_t))
- *(size_t *)(out + n) =
- *(size_t *)(in + n) ^ *(size_t *)(iv + n);
+ *(size_t_aX *)(out + n) =
+ *(size_t_aX *)(in + n) ^ *(size_t_aX *)(iv + n);
(*block) (out, out, key);
iv = out;
len -= 16;
@@ -96,7 +102,8 @@ void CRYPTO_cbc128_decrypt(const unsigned char *in, unsigned char *out,
}
} else if (16 % sizeof(size_t) == 0) { /* always true */
while (len >= 16) {
- size_t *out_t = (size_t *)out, *iv_t = (size_t *)iv;
+ size_t_aX *out_t = (size_t_aX *)out;
+ size_t_aX *iv_t = (size_t_aX *)iv;
(*block) (in, out, key);
for (n = 0; n < 16 / sizeof(size_t); n++)
@@ -125,8 +132,10 @@ void CRYPTO_cbc128_decrypt(const unsigned char *in, unsigned char *out,
}
} else if (16 % sizeof(size_t) == 0) { /* always true */
while (len >= 16) {
- size_t c, *out_t = (size_t *)out, *ivec_t = (size_t *)ivec;
- const size_t *in_t = (const size_t *)in;
+ size_t c;
+ size_t_aX *out_t = (size_t_aX *)out;
+ size_t_aX *ivec_t = (size_t_aX *)ivec;
+ const size_t_aX *in_t = (const size_t_aX *)in;
(*block) (in, tmp.c, key);
for (n = 0; n < 16 / sizeof(size_t); n++) {
diff --git a/crypto/modes/ccm128.c b/crypto/modes/ccm128.c
index 05a33239..655b1035 100644
--- a/crypto/modes/ccm128.c
+++ b/crypto/modes/ccm128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,17 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
+#ifndef STRICT_ALIGNMENT
+# ifdef __GNUC__
+typedef u64 u64_a1 __attribute((__aligned__(1)));
+# else
+typedef u64 u64_a1;
+# endif
+#endif
+
/*
* First you setup M and L parameters and pass the key schedule. This is
* called once per session setup...
@@ -170,8 +178,8 @@ int CRYPTO_ccm128_encrypt(CCM128_CONTEXT *ctx,
ctx->cmac.u[0] ^= temp.u[0];
ctx->cmac.u[1] ^= temp.u[1];
#else
- ctx->cmac.u[0] ^= ((u64 *)inp)[0];
- ctx->cmac.u[1] ^= ((u64 *)inp)[1];
+ ctx->cmac.u[0] ^= ((u64_a1 *)inp)[0];
+ ctx->cmac.u[1] ^= ((u64_a1 *)inp)[1];
#endif
(*block) (ctx->cmac.c, ctx->cmac.c, key);
(*block) (ctx->nonce.c, scratch.c, key);
@@ -181,8 +189,8 @@ int CRYPTO_ccm128_encrypt(CCM128_CONTEXT *ctx,
temp.u[1] ^= scratch.u[1];
memcpy(out, temp.c, 16);
#else
- ((u64 *)out)[0] = scratch.u[0] ^ ((u64 *)inp)[0];
- ((u64 *)out)[1] = scratch.u[1] ^ ((u64 *)inp)[1];
+ ((u64_a1 *)out)[0] = scratch.u[0] ^ ((u64_a1 *)inp)[0];
+ ((u64_a1 *)out)[1] = scratch.u[1] ^ ((u64_a1 *)inp)[1];
#endif
inp += 16;
out += 16;
@@ -254,8 +262,10 @@ int CRYPTO_ccm128_decrypt(CCM128_CONTEXT *ctx,
ctx->cmac.u[1] ^= (scratch.u[1] ^= temp.u[1]);
memcpy(out, scratch.c, 16);
#else
- ctx->cmac.u[0] ^= (((u64 *)out)[0] = scratch.u[0] ^ ((u64 *)inp)[0]);
- ctx->cmac.u[1] ^= (((u64 *)out)[1] = scratch.u[1] ^ ((u64 *)inp)[1]);
+ ctx->cmac.u[0] ^= (((u64_a1 *)out)[0]
+ = scratch.u[0] ^ ((u64_a1 *)inp)[0]);
+ ctx->cmac.u[1] ^= (((u64_a1 *)out)[1]
+ = scratch.u[1] ^ ((u64_a1 *)inp)[1]);
#endif
(*block) (ctx->cmac.c, ctx->cmac.c, key);
diff --git a/crypto/modes/cfb128.c b/crypto/modes/cfb128.c
index e439567f..b2530007 100644
--- a/crypto/modes/cfb128.c
+++ b/crypto/modes/cfb128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,15 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
+#if defined(__GNUC__) && !defined(STRICT_ALIGNMENT)
+typedef size_t size_t_aX __attribute((__aligned__(1)));
+#else
+typedef size_t size_t_aX;
+#endif
+
/*
* The input and output encrypted as though 128bit cfb mode is being used.
* The extra state information to record how much of the 128bit block we have
@@ -43,8 +49,9 @@ void CRYPTO_cfb128_encrypt(const unsigned char *in, unsigned char *out,
while (len >= 16) {
(*block) (ivec, ivec, key);
for (; n < 16; n += sizeof(size_t)) {
- *(size_t *)(out + n) =
- *(size_t *)(ivec + n) ^= *(size_t *)(in + n);
+ *(size_t_aX *)(out + n) =
+ *(size_t_aX *)(ivec + n)
+ ^= *(size_t_aX *)(in + n);
}
len -= 16;
out += 16;
@@ -92,9 +99,10 @@ void CRYPTO_cfb128_encrypt(const unsigned char *in, unsigned char *out,
while (len >= 16) {
(*block) (ivec, ivec, key);
for (; n < 16; n += sizeof(size_t)) {
- size_t t = *(size_t *)(in + n);
- *(size_t *)(out + n) = *(size_t *)(ivec + n) ^ t;
- *(size_t *)(ivec + n) = t;
+ size_t t = *(size_t_aX *)(in + n);
+ *(size_t_aX *)(out + n)
+ = *(size_t_aX *)(ivec + n) ^ t;
+ *(size_t_aX *)(ivec + n) = t;
}
len -= 16;
out += 16;
diff --git a/crypto/modes/ctr128.c b/crypto/modes/ctr128.c
index 03920b44..1ed7dece 100644
--- a/crypto/modes/ctr128.c
+++ b/crypto/modes/ctr128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,15 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
+#if defined(__GNUC__) && !defined(STRICT_ALIGNMENT)
+typedef size_t size_t_aX __attribute((__aligned__(1)));
+#else
+typedef size_t size_t_aX;
+#endif
+
/*
* NOTE: the IV/counter CTR mode is big-endian. The code itself is
* endian-neutral.
@@ -97,8 +103,9 @@ void CRYPTO_ctr128_encrypt(const unsigned char *in, unsigned char *out,
(*block) (ivec, ecount_buf, key);
ctr128_inc_aligned(ivec);
for (n = 0; n < 16; n += sizeof(size_t))
- *(size_t *)(out + n) =
- *(size_t *)(in + n) ^ *(size_t *)(ecount_buf + n);
+ *(size_t_aX *)(out + n) =
+ *(size_t_aX *)(in + n)
+ ^ *(size_t_aX *)(ecount_buf + n);
len -= 16;
out += 16;
in += 16;
diff --git a/crypto/modes/cts128.c b/crypto/modes/cts128.c
index 93826a1e..9052e857 100644
--- a/crypto/modes/cts128.c
+++ b/crypto/modes/cts128.c
@@ -8,7 +8,7 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
/*
diff --git a/crypto/modes/gcm128.c b/crypto/modes/gcm128.c
index 15f76e3e..0c0bf3cd 100644
--- a/crypto/modes/gcm128.c
+++ b/crypto/modes/gcm128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,15 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
+#if defined(__GNUC__) && !defined(STRICT_ALIGNMENT)
+typedef size_t size_t_aX __attribute((__aligned__(1)));
+#else
+typedef size_t size_t_aX;
+#endif
+
#if defined(BSWAP4) && defined(STRICT_ALIGNMENT)
/* redefine, because alignment is ensured */
# undef GETU32
@@ -1080,8 +1086,8 @@ int CRYPTO_gcm128_encrypt(GCM128_CONTEXT *ctx,
size_t j = GHASH_CHUNK;
while (j) {
- size_t *out_t = (size_t *)out;
- const size_t *in_t = (const size_t *)in;
+ size_t_aX *out_t = (size_t_aX *)out;
+ const size_t_aX *in_t = (const size_t_aX *)in;
(*block) (ctx->Yi.c, ctx->EKi.c, key);
++ctr;
@@ -1107,8 +1113,8 @@ int CRYPTO_gcm128_encrypt(GCM128_CONTEXT *ctx,
size_t j = i;
while (len >= 16) {
- size_t *out_t = (size_t *)out;
- const size_t *in_t = (const size_t *)in;
+ size_t_aX *out_t = (size_t_aX *)out;
+ const size_t_aX *in_t = (const size_t_aX *)in;
(*block) (ctx->Yi.c, ctx->EKi.c, key);
++ctr;
@@ -1318,8 +1324,8 @@ int CRYPTO_gcm128_decrypt(GCM128_CONTEXT *ctx,
GHASH(ctx, in, GHASH_CHUNK);
while (j) {
- size_t *out_t = (size_t *)out;
- const size_t *in_t = (const size_t *)in;
+ size_t_aX *out_t = (size_t_aX *)out;
+ const size_t_aX *in_t = (const size_t_aX *)in;
(*block) (ctx->Yi.c, ctx->EKi.c, key);
++ctr;
@@ -1343,8 +1349,8 @@ int CRYPTO_gcm128_decrypt(GCM128_CONTEXT *ctx,
if ((i = (len & (size_t)-16))) {
GHASH(ctx, in, i);
while (len >= 16) {
- size_t *out_t = (size_t *)out;
- const size_t *in_t = (const size_t *)in;
+ size_t_aX *out_t = (size_t_aX *)out;
+ const size_t_aX *in_t = (const size_t_aX *)in;
(*block) (ctx->Yi.c, ctx->EKi.c, key);
++ctr;
diff --git a/crypto/modes/modes_lcl.h b/crypto/modes/modes_local.h
similarity index 91%
rename from crypto/modes/modes_lcl.h
rename to crypto/modes/modes_local.h
index f2ae01d1..88814168 100644
--- a/crypto/modes/modes_lcl.h
+++ b/crypto/modes/modes_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -37,6 +37,14 @@ typedef unsigned char u8;
# endif
#endif
+#ifndef STRICT_ALIGNMENT
+# ifdef __GNUC__
+typedef u32 u32_a1 __attribute((__aligned__(1)));
+# else
+typedef u32 u32_a1;
+# endif
+#endif
+
#if !defined(PEDANTIC) && !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM)
# if defined(__GNUC__) && __GNUC__>=2
# if defined(__x86_64) || defined(__x86_64__)
@@ -55,12 +63,15 @@ typedef unsigned char u8;
asm ("bswapl %0" \
: "+r"(ret_)); ret_; })
# elif defined(__aarch64__)
-# define BSWAP8(x) ({ u64 ret_; \
+# if defined(__BYTE_ORDER__) && defined(__ORDER_LITTLE_ENDIAN__) && \
+ __BYTE_ORDER__==__ORDER_LITTLE_ENDIAN__
+# define BSWAP8(x) ({ u64 ret_; \
asm ("rev %0,%1" \
: "=r"(ret_) : "r"(x)); ret_; })
-# define BSWAP4(x) ({ u32 ret_; \
+# define BSWAP4(x) ({ u32 ret_; \
asm ("rev %w0,%w1" \
: "=r"(ret_) : "r"(x)); ret_; })
+# endif
# elif (defined(__arm__) || defined(__arm)) && !defined(STRICT_ALIGNMENT)
# define BSWAP8(x) ({ u32 lo_=(u64)(x)>>32,hi_=(x); \
asm ("rev %0,%0; rev %1,%1" \
@@ -86,8 +97,8 @@ _asm mov eax, val _asm bswap eax}
# endif
#endif
#if defined(BSWAP4) && !defined(STRICT_ALIGNMENT)
-# define GETU32(p) BSWAP4(*(const u32 *)(p))
-# define PUTU32(p,v) *(u32 *)(p) = BSWAP4(v)
+# define GETU32(p) BSWAP4(*(const u32_a1 *)(p))
+# define PUTU32(p,v) *(u32_a1 *)(p) = BSWAP4(v)
#else
# define GETU32(p) ((u32)(p)[0]<<24|(u32)(p)[1]<<16|(u32)(p)[2]<<8|(u32)(p)[3])
# define PUTU32(p,v) ((p)[0]=(u8)((v)>>24),(p)[1]=(u8)((v)>>16),(p)[2]=(u8)((v)>>8),(p)[3]=(u8)(v))
diff --git a/crypto/modes/ocb128.c b/crypto/modes/ocb128.c
index 713b9aaf..b39a55a1 100644
--- a/crypto/modes/ocb128.c
+++ b/crypto/modes/ocb128.c
@@ -10,7 +10,7 @@
#include <string.h>
#include <openssl/crypto.h>
#include <openssl/err.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#ifndef OPENSSL_NO_OCB
diff --git a/crypto/modes/ofb128.c b/crypto/modes/ofb128.c
index 83092564..a3469712 100644
--- a/crypto/modes/ofb128.c
+++ b/crypto/modes/ofb128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,15 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
+#if defined(__GNUC__) && !defined(STRICT_ALIGNMENT)
+typedef size_t size_t_aX __attribute((__aligned__(1)));
+#else
+typedef size_t size_t_aX;
+#endif
+
/*
* The input and output encrypted as though 128bit ofb mode is being used.
* The extra state information to record how much of the 128bit block we have
@@ -41,8 +47,9 @@ void CRYPTO_ofb128_encrypt(const unsigned char *in, unsigned char *out,
while (len >= 16) {
(*block) (ivec, ivec, key);
for (; n < 16; n += sizeof(size_t))
- *(size_t *)(out + n) =
- *(size_t *)(in + n) ^ *(size_t *)(ivec + n);
+ *(size_t_aX *)(out + n) =
+ *(size_t_aX *)(in + n)
+ ^ *(size_t_aX *)(ivec + n);
len -= 16;
out += 16;
in += 16;
diff --git a/crypto/modes/xts128.c b/crypto/modes/xts128.c
index 81b1eacd..fe1626c6 100644
--- a/crypto/modes/xts128.c
+++ b/crypto/modes/xts128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,17 @@
*/
#include <openssl/crypto.h>
-#include "modes_lcl.h"
+#include "modes_local.h"
#include <string.h>
+#ifndef STRICT_ALIGNMENT
+# ifdef __GNUC__
+typedef u64 u64_a1 __attribute((__aligned__(1)));
+# else
+typedef u64 u64_a1;
+# endif
+#endif
+
int CRYPTO_xts128_encrypt(const XTS128_CONTEXT *ctx,
const unsigned char iv[16],
const unsigned char *inp, unsigned char *out,
@@ -45,8 +53,8 @@ int CRYPTO_xts128_encrypt(const XTS128_CONTEXT *ctx,
scratch.u[0] ^= tweak.u[0];
scratch.u[1] ^= tweak.u[1];
#else
- scratch.u[0] = ((u64 *)inp)[0] ^ tweak.u[0];
- scratch.u[1] = ((u64 *)inp)[1] ^ tweak.u[1];
+ scratch.u[0] = ((u64_a1 *)inp)[0] ^ tweak.u[0];
+ scratch.u[1] = ((u64_a1 *)inp)[1] ^ tweak.u[1];
#endif
(*ctx->block1) (scratch.c, scratch.c, ctx->key1);
#if defined(STRICT_ALIGNMENT)
@@ -54,8 +62,8 @@ int CRYPTO_xts128_encrypt(const XTS128_CONTEXT *ctx,
scratch.u[1] ^= tweak.u[1];
memcpy(out, scratch.c, 16);
#else
- ((u64 *)out)[0] = scratch.u[0] ^= tweak.u[0];
- ((u64 *)out)[1] = scratch.u[1] ^= tweak.u[1];
+ ((u64_a1 *)out)[0] = scratch.u[0] ^= tweak.u[0];
+ ((u64_a1 *)out)[1] = scratch.u[1] ^= tweak.u[1];
#endif
inp += 16;
out += 16;
@@ -128,8 +136,8 @@ int CRYPTO_xts128_encrypt(const XTS128_CONTEXT *ctx,
scratch.u[0] ^= tweak1.u[0];
scratch.u[1] ^= tweak1.u[1];
#else
- scratch.u[0] = ((u64 *)inp)[0] ^ tweak1.u[0];
- scratch.u[1] = ((u64 *)inp)[1] ^ tweak1.u[1];
+ scratch.u[0] = ((u64_a1 *)inp)[0] ^ tweak1.u[0];
+ scratch.u[1] = ((u64_a1 *)inp)[1] ^ tweak1.u[1];
#endif
(*ctx->block1) (scratch.c, scratch.c, ctx->key1);
scratch.u[0] ^= tweak1.u[0];
@@ -148,8 +156,8 @@ int CRYPTO_xts128_encrypt(const XTS128_CONTEXT *ctx,
scratch.u[1] ^= tweak.u[1];
memcpy(out, scratch.c, 16);
#else
- ((u64 *)out)[0] = scratch.u[0] ^ tweak.u[0];
- ((u64 *)out)[1] = scratch.u[1] ^ tweak.u[1];
+ ((u64_a1 *)out)[0] = scratch.u[0] ^ tweak.u[0];
+ ((u64_a1 *)out)[1] = scratch.u[1] ^ tweak.u[1];
#endif
}
diff --git a/crypto/o_str.c b/crypto/o_str.c
index 9ad7a89d..eb9f21cc 100644
--- a/crypto/o_str.c
+++ b/crypto/o_str.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2003-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2003-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -220,7 +220,7 @@ char *OPENSSL_buf2hexstr(const unsigned char *buffer, long len)
int openssl_strerror_r(int errnum, char *buf, size_t buflen)
{
-#if defined(_MSC_VER) && _MSC_VER>=1400
+#if defined(_MSC_VER) && _MSC_VER>=1400 && !defined(_WIN32_WCE)
return !strerror_s(buf, buflen, errnum);
#elif defined(_GNU_SOURCE)
char *err;
diff --git a/crypto/o_time.c b/crypto/o_time.c
index 6d764f55..3502edda 100644
--- a/crypto/o_time.c
+++ b/crypto/o_time.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -41,7 +41,7 @@ struct tm *OPENSSL_gmtime(const time_t *timer, struct tm *result)
if (gmtime_r(timer, result) == NULL)
return NULL;
ts = result;
-#elif defined (OPENSSL_SYS_WINDOWS) && defined(_MSC_VER) && _MSC_VER >= 1400
+#elif defined (OPENSSL_SYS_WINDOWS) && defined(_MSC_VER) && _MSC_VER >= 1400 && !defined(_WIN32_WCE)
if (gmtime_s(result, timer))
return NULL;
ts = result;
diff --git a/crypto/objects/o_names.c b/crypto/objects/o_names.c
index c4355370..979d8357 100644
--- a/crypto/objects/o_names.c
+++ b/crypto/objects/o_names.c
@@ -17,8 +17,8 @@
#include <openssl/safestack.h>
#include <openssl/e_os2.h>
#include "internal/thread_once.h"
-#include "internal/lhash.h"
-#include "obj_lcl.h"
+#include "crypto/lhash.h"
+#include "obj_local.h"
#include "e_os.h"
/*
diff --git a/crypto/objects/obj_dat.c b/crypto/objects/obj_dat.c
index ef2d1e0d..46006fe6 100644
--- a/crypto/objects/obj_dat.c
+++ b/crypto/objects/obj_dat.c
@@ -8,15 +8,15 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <limits.h>
#include "internal/cryptlib.h"
#include <openssl/lhash.h>
#include <openssl/asn1.h>
-#include "internal/objects.h"
+#include "crypto/objects.h"
#include <openssl/bn.h>
-#include "internal/asn1_int.h"
-#include "obj_lcl.h"
+#include "crypto/asn1.h"
+#include "obj_local.h"
/* obj_dat.h is generated from objects.h by obj_dat.pl */
#include "obj_dat.h"
diff --git a/crypto/objects/obj_dat.h b/crypto/objects/obj_dat.h
index ea91db66..24b49a2d 100644
--- a/crypto/objects/obj_dat.h
+++ b/crypto/objects/obj_dat.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/objects/obj_dat.pl
*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
@@ -1728,8 +1728,8 @@ static const ASN1_OBJECT nid_objs[NUM_NID] = {
{"ITU-T", "itu-t", NID_itu_t},
{"JOINT-ISO-ITU-T", "joint-iso-itu-t", NID_joint_iso_itu_t},
{"international-organizations", "International Organizations", NID_international_organizations, 1, &so[4439]},
- {"msSmartcardLogin", "Microsoft Smartcardlogin", NID_ms_smartcard_login, 10, &so[4440]},
- {"msUPN", "Microsoft Universal Principal Name", NID_ms_upn, 10, &so[4450]},
+ {"msSmartcardLogin", "Microsoft Smartcard Login", NID_ms_smartcard_login, 10, &so[4440]},
+ {"msUPN", "Microsoft User Principal Name", NID_ms_upn, 10, &so[4450]},
{"AES-128-CFB1", "aes-128-cfb1", NID_aes_128_cfb1},
{"AES-192-CFB1", "aes-192-cfb1", NID_aes_192_cfb1},
{"AES-256-CFB1", "aes-256-cfb1", NID_aes_256_cfb1},
@@ -3578,9 +3578,9 @@ static const unsigned int ln_objs[NUM_LN] = {
134, /* "Microsoft Individual Code Signing" */
856, /* "Microsoft Local Key set" */
137, /* "Microsoft Server Gated Crypto" */
- 648, /* "Microsoft Smartcardlogin" */
+ 648, /* "Microsoft Smartcard Login" */
136, /* "Microsoft Trust List Signing" */
- 649, /* "Microsoft Universal Principal Name" */
+ 649, /* "Microsoft User Principal Name" */
393, /* "NULL" */
404, /* "NULL" */
72, /* "Netscape Base Url" */
diff --git a/crypto/objects/obj_lib.c b/crypto/objects/obj_lib.c
index acbdeec2..456a1598 100644
--- a/crypto/objects/obj_lib.c
+++ b/crypto/objects/obj_lib.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/objects.h>
#include <openssl/buffer.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
ASN1_OBJECT *OBJ_dup(const ASN1_OBJECT *o)
{
diff --git a/crypto/objects/obj_lcl.h b/crypto/objects/obj_local.h
similarity index 100%
rename from crypto/objects/obj_lcl.h
rename to crypto/objects/obj_local.h
diff --git a/crypto/objects/obj_xref.h b/crypto/objects/obj_xref.h
index 9144d569..5c3561ab 100644
--- a/crypto/objects/obj_xref.h
+++ b/crypto/objects/obj_xref.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by objxref.pl
*
- * Copyright 1998-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/objects/objects.txt b/crypto/objects/objects.txt
index 5b2bb54e..c49d4c56 100644
--- a/crypto/objects/objects.txt
+++ b/crypto/objects/objects.txt
@@ -426,9 +426,9 @@ rsadsi 3 8 : RC5-CBC : rc5-cbc
!Cname ms-efs
1 3 6 1 4 1 311 10 3 4 : msEFS : Microsoft Encrypted File System
!Cname ms-smartcard-login
-1 3 6 1 4 1 311 20 2 2 : msSmartcardLogin : Microsoft Smartcardlogin
+1 3 6 1 4 1 311 20 2 2 : msSmartcardLogin : Microsoft Smartcard Login
!Cname ms-upn
-1 3 6 1 4 1 311 20 2 3 : msUPN : Microsoft Universal Principal Name
+1 3 6 1 4 1 311 20 2 3 : msUPN : Microsoft User Principal Name
1 3 6 1 4 1 188 7 1 1 2 : IDEA-CBC : idea-cbc
: IDEA-ECB : idea-ecb
diff --git a/crypto/ocsp/ocsp_asn.c b/crypto/ocsp/ocsp_asn.c
index 1e0b8279..a869e32b 100644
--- a/crypto/ocsp/ocsp_asn.c
+++ b/crypto/ocsp/ocsp_asn.c
@@ -10,7 +10,7 @@
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
ASN1_SEQUENCE(OCSP_SIGNATURE) = {
ASN1_EMBED(OCSP_SIGNATURE, signatureAlgorithm, X509_ALGOR),
diff --git a/crypto/ocsp/ocsp_cl.c b/crypto/ocsp/ocsp_cl.c
index 739ac018..55ffd45c 100644
--- a/crypto/ocsp/ocsp_cl.c
+++ b/crypto/ocsp/ocsp_cl.c
@@ -16,7 +16,7 @@
#include <openssl/pem.h>
#include <openssl/x509v3.h>
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
/*
* Utility functions related to sending OCSP requests and extracting relevant
diff --git a/crypto/ocsp/ocsp_ext.c b/crypto/ocsp/ocsp_ext.c
index 3ab5308a..f6c387ff 100644
--- a/crypto/ocsp/ocsp_ext.c
+++ b/crypto/ocsp/ocsp_ext.c
@@ -12,7 +12,7 @@
#include <openssl/objects.h>
#include <openssl/x509.h>
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
#include <openssl/rand.h>
#include <openssl/x509v3.h>
diff --git a/crypto/ocsp/ocsp_ht.c b/crypto/ocsp/ocsp_ht.c
index 42c36864..ba408bc8 100644
--- a/crypto/ocsp/ocsp_ht.c
+++ b/crypto/ocsp/ocsp_ht.c
@@ -10,7 +10,7 @@
#include "e_os.h"
#include <stdio.h>
#include <stdlib.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <string.h>
#include <openssl/asn1.h>
#include <openssl/ocsp.h>
diff --git a/crypto/ocsp/ocsp_lib.c b/crypto/ocsp/ocsp_lib.c
index b8b91cc9..37ac6c03 100644
--- a/crypto/ocsp/ocsp_lib.c
+++ b/crypto/ocsp/ocsp_lib.c
@@ -14,7 +14,7 @@
#include <openssl/pem.h>
#include <openssl/x509v3.h>
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
#include <openssl/asn1t.h>
/* Convert a certificate and its issuer to an OCSP_CERTID */
diff --git a/crypto/ocsp/ocsp_lcl.h b/crypto/ocsp/ocsp_local.h
similarity index 100%
rename from crypto/ocsp/ocsp_lcl.h
rename to crypto/ocsp/ocsp_local.h
diff --git a/crypto/ocsp/ocsp_prn.c b/crypto/ocsp/ocsp_prn.c
index 5605812e..1965f2a1 100644
--- a/crypto/ocsp/ocsp_prn.c
+++ b/crypto/ocsp/ocsp_prn.c
@@ -10,7 +10,7 @@
#include <openssl/bio.h>
#include <openssl/err.h>
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
#include "internal/cryptlib.h"
#include <openssl/pem.h>
diff --git a/crypto/ocsp/ocsp_srv.c b/crypto/ocsp/ocsp_srv.c
index 6bd6f7b6..e35fc52f 100644
--- a/crypto/ocsp/ocsp_srv.c
+++ b/crypto/ocsp/ocsp_srv.c
@@ -14,7 +14,7 @@
#include <openssl/pem.h>
#include <openssl/x509v3.h>
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
/*
* Utility functions related to sending OCSP responses and extracting
diff --git a/crypto/ocsp/ocsp_vfy.c b/crypto/ocsp/ocsp_vfy.c
index 9a8d3438..e87b71c0 100644
--- a/crypto/ocsp/ocsp_vfy.c
+++ b/crypto/ocsp/ocsp_vfy.c
@@ -8,7 +8,7 @@
*/
#include <openssl/ocsp.h>
-#include "ocsp_lcl.h"
+#include "ocsp_local.h"
#include <openssl/err.h>
#include <string.h>
diff --git a/crypto/ocsp/v3_ocsp.c b/crypto/ocsp/v3_ocsp.c
index 2d425a89..a174ce15 100644
--- a/crypto/ocsp/v3_ocsp.c
+++ b/crypto/ocsp/v3_ocsp.c
@@ -12,7 +12,7 @@
# include <openssl/conf.h>
# include <openssl/asn1.h>
# include <openssl/ocsp.h>
-# include "ocsp_lcl.h"
+# include "ocsp_local.h"
# include <openssl/x509v3.h>
# include "../x509v3/ext_dat.h"
diff --git a/crypto/pariscid.pl b/crypto/pariscid.pl
index 5a231c49..f4d36475 100644
--- a/crypto/pariscid.pl
+++ b/crypto/pariscid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -272,5 +272,5 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/pem/pem_all.c b/crypto/pem/pem_all.c
index 0e718131..9d57ee7c 100644
--- a/crypto/pem/pem_all.c
+++ b/crypto/pem/pem_all.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -84,9 +84,8 @@ IMPLEMENT_PEM_write_cb_const(RSAPrivateKey, RSA, PEM_STRING_RSA,
IMPLEMENT_PEM_rw_const(RSAPublicKey, RSA, PEM_STRING_RSA_PUBLIC,
- RSAPublicKey) IMPLEMENT_PEM_rw(RSA_PUBKEY, RSA,
- PEM_STRING_PUBLIC,
- RSA_PUBKEY)
+ RSAPublicKey)
+IMPLEMENT_PEM_rw(RSA_PUBKEY, RSA, PEM_STRING_PUBLIC, RSA_PUBKEY)
#endif
#ifndef OPENSSL_NO_DSA
static DSA *pkey_get_dsa(EVP_PKEY *key, DSA **dsa)
@@ -115,7 +114,7 @@ DSA *PEM_read_bio_DSAPrivateKey(BIO *bp, DSA **dsa, pem_password_cb *cb,
IMPLEMENT_PEM_write_cb_const(DSAPrivateKey, DSA, PEM_STRING_DSA,
DSAPrivateKey)
- IMPLEMENT_PEM_rw(DSA_PUBKEY, DSA, PEM_STRING_PUBLIC, DSA_PUBKEY)
+IMPLEMENT_PEM_rw(DSA_PUBKEY, DSA, PEM_STRING_PUBLIC, DSA_PUBKEY)
# ifndef OPENSSL_NO_STDIO
DSA *PEM_read_DSAPrivateKey(FILE *fp, DSA **dsa, pem_password_cb *cb, void *u)
{
@@ -176,6 +175,6 @@ EC_KEY *PEM_read_ECPrivateKey(FILE *fp, EC_KEY **eckey, pem_password_cb *cb,
#ifndef OPENSSL_NO_DH
IMPLEMENT_PEM_write_const(DHparams, DH, PEM_STRING_DHPARAMS, DHparams)
- IMPLEMENT_PEM_write_const(DHxparams, DH, PEM_STRING_DHXPARAMS, DHxparams)
+IMPLEMENT_PEM_write_const(DHxparams, DH, PEM_STRING_DHXPARAMS, DHxparams)
#endif
IMPLEMENT_PEM_rw(PUBKEY, EVP_PKEY, PEM_STRING_PUBLIC, PUBKEY)
diff --git a/crypto/pem/pem_err.c b/crypto/pem/pem_err.c
index f642030a..0f3cb024 100644
--- a/crypto/pem/pem_err.c
+++ b/crypto/pem/pem_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -60,6 +60,8 @@ static const ERR_STRING_DATA PEM_str_functs[] = {
{ERR_PACK(ERR_LIB_PEM, PEM_F_PEM_SIGNFINAL, 0), "PEM_SignFinal"},
{ERR_PACK(ERR_LIB_PEM, PEM_F_PEM_WRITE, 0), "PEM_write"},
{ERR_PACK(ERR_LIB_PEM, PEM_F_PEM_WRITE_BIO, 0), "PEM_write_bio"},
+ {ERR_PACK(ERR_LIB_PEM, PEM_F_PEM_WRITE_BIO_PRIVATEKEY_TRADITIONAL, 0),
+ "PEM_write_bio_PrivateKey_traditional"},
{ERR_PACK(ERR_LIB_PEM, PEM_F_PEM_WRITE_PRIVATEKEY, 0),
"PEM_write_PrivateKey"},
{ERR_PACK(ERR_LIB_PEM, PEM_F_PEM_X509_INFO_READ, 0), "PEM_X509_INFO_read"},
@@ -109,6 +111,8 @@ static const ERR_STRING_DATA PEM_str_reasons[] = {
"unsupported encryption"},
{ERR_PACK(ERR_LIB_PEM, 0, PEM_R_UNSUPPORTED_KEY_COMPONENTS),
"unsupported key components"},
+ {ERR_PACK(ERR_LIB_PEM, 0, PEM_R_UNSUPPORTED_PUBLIC_KEY_TYPE),
+ "unsupported public key type"},
{0, NULL}
};
diff --git a/crypto/pem/pem_lib.c b/crypto/pem/pem_lib.c
index 4bb86463..a2632211 100644
--- a/crypto/pem/pem_lib.c
+++ b/crypto/pem/pem_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <string.h>
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
@@ -18,7 +18,7 @@
#include <openssl/x509.h>
#include <openssl/pem.h>
#include <openssl/pkcs12.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
#include <openssl/des.h>
#include <openssl/engine.h>
@@ -332,7 +332,7 @@ int PEM_ASN1_write_bio(i2d_of_void *i2d, const char *name, BIO *bp,
}
}
- if ((dsize = i2d(x, NULL)) < 0) {
+ if ((dsize = i2d(x, NULL)) <= 0) {
PEMerr(PEM_F_PEM_ASN1_WRITE_BIO, ERR_R_ASN1_LIB);
dsize = 0;
goto err;
@@ -791,7 +791,7 @@ static int get_header_and_data(BIO *bp, BIO **header, BIO **data, char *name,
{
BIO *tmp = *header;
char *linebuf, *p;
- int len, line, ret = 0, end = 0;
+ int len, line, ret = 0, end = 0, prev_partial_line_read = 0, partial_line_read = 0;
/* 0 if not seen (yet), 1 if reading header, 2 if finished header */
enum header_status got_header = MAYBE_HEADER;
unsigned int flags_mask;
@@ -809,10 +809,18 @@ static int get_header_and_data(BIO *bp, BIO **header, BIO **data, char *name,
flags_mask = ~0u;
len = BIO_gets(bp, linebuf, LINESIZE);
if (len <= 0) {
- PEMerr(PEM_F_GET_HEADER_AND_DATA, PEM_R_SHORT_HEADER);
+ PEMerr(PEM_F_GET_HEADER_AND_DATA, PEM_R_BAD_END_LINE);
goto err;
}
+ /*
+ * Check if line has been read completely or if only part of the line
+ * has been read. Keep the previous value to ignore newlines that
+ * appear due to reading a line up until the char before the newline.
+ */
+ prev_partial_line_read = partial_line_read;
+ partial_line_read = len == LINESIZE-1 && linebuf[LINESIZE-2] != '\n';
+
if (got_header == MAYBE_HEADER) {
if (memchr(linebuf, ':', len) != NULL)
got_header = IN_HEADER;
@@ -823,13 +831,19 @@ static int get_header_and_data(BIO *bp, BIO **header, BIO **data, char *name,
/* Check for end of header. */
if (linebuf[0] == '\n') {
- if (got_header == POST_HEADER) {
- /* Another blank line is an error. */
- PEMerr(PEM_F_GET_HEADER_AND_DATA, PEM_R_BAD_END_LINE);
- goto err;
+ /*
+ * If previous line has been read only partially this newline is a
+ * regular newline at the end of a line and not an empty line.
+ */
+ if (!prev_partial_line_read) {
+ if (got_header == POST_HEADER) {
+ /* Another blank line is an error. */
+ PEMerr(PEM_F_GET_HEADER_AND_DATA, PEM_R_BAD_END_LINE);
+ goto err;
+ }
+ got_header = POST_HEADER;
+ tmp = *data;
}
- got_header = POST_HEADER;
- tmp = *data;
continue;
}
diff --git a/crypto/pem/pem_pkey.c b/crypto/pem/pem_pkey.c
index aa032d2b..4a949272 100644
--- a/crypto/pem/pem_pkey.c
+++ b/crypto/pem/pem_pkey.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -17,8 +17,8 @@
#include <openssl/pem.h>
#include <openssl/engine.h>
#include <openssl/dh.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
int pem_check_suffix(const char *pem_str, const char *suffix);
@@ -108,6 +108,12 @@ int PEM_write_bio_PrivateKey_traditional(BIO *bp, EVP_PKEY *x,
pem_password_cb *cb, void *u)
{
char pem_str[80];
+
+ if (x->ameth == NULL || x->ameth->old_priv_encode == NULL) {
+ PEMerr(PEM_F_PEM_WRITE_BIO_PRIVATEKEY_TRADITIONAL,
+ PEM_R_UNSUPPORTED_PUBLIC_KEY_TYPE);
+ return 0;
+ }
BIO_snprintf(pem_str, 80, "%s PRIVATE KEY", x->ameth->pem_str);
return PEM_ASN1_write_bio((i2d_of_void *)i2d_PrivateKey,
pem_str, bp, x, enc, kstr, klen, cb, u);
diff --git a/crypto/pem/pvkfmt.c b/crypto/pem/pvkfmt.c
index 2bbee4a3..a933b7c1 100644
--- a/crypto/pem/pvkfmt.c
+++ b/crypto/pem/pvkfmt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -29,10 +29,10 @@ static unsigned int read_ledword(const unsigned char **in)
{
const unsigned char *p = *in;
unsigned int ret;
- ret = *p++;
- ret |= (*p++ << 8);
- ret |= (*p++ << 16);
- ret |= (*p++ << 24);
+ ret = (unsigned int)*p++;
+ ret |= (unsigned int)*p++ << 8;
+ ret |= (unsigned int)*p++ << 16;
+ ret |= (unsigned int)*p++ << 24;
*in = p;
return ret;
}
@@ -844,9 +844,9 @@ static int i2b_PVK(unsigned char **out, EVP_PKEY *pk, int enclevel,
if (!EVP_EncryptInit_ex(cctx, EVP_rc4(), NULL, keybuf, NULL))
goto error;
OPENSSL_cleanse(keybuf, 20);
- if (!EVP_DecryptUpdate(cctx, p, &enctmplen, p, pklen - 8))
+ if (!EVP_EncryptUpdate(cctx, p, &enctmplen, p, pklen - 8))
goto error;
- if (!EVP_DecryptFinal_ex(cctx, p + enctmplen, &enctmplen))
+ if (!EVP_EncryptFinal_ex(cctx, p + enctmplen, &enctmplen))
goto error;
}
@@ -875,9 +875,9 @@ int i2b_PVK_bio(BIO *out, EVP_PKEY *pk, int enclevel,
wrlen = BIO_write(out, tmp, outlen);
OPENSSL_free(tmp);
if (wrlen == outlen) {
- PEMerr(PEM_F_I2B_PVK_BIO, PEM_R_BIO_WRITE_FAILURE);
return outlen;
}
+ PEMerr(PEM_F_I2B_PVK_BIO, PEM_R_BIO_WRITE_FAILURE);
return -1;
}
diff --git a/crypto/perlasm/README b/crypto/perlasm/README
index 3177c371..59f2c955 100644
--- a/crypto/perlasm/README
+++ b/crypto/perlasm/README
@@ -35,7 +35,7 @@ Functions of interest are:
&function_begin_B(name,extra) Same as normal function_begin but no pushing.
&function_end(name) Call at end of function.
&function_end_A(name) Standard pop and ret, for use inside functions
-&function_end_B(name) Call at end but with poping or 'ret'.
+&function_end_B(name) Call at end but with pop or ret.
&swtmp(num) Address on stack temp word.
&wparam(num) Parameter number num, that was push
in C convention. This all works over pushes
diff --git a/crypto/perlasm/arm-xlate.pl b/crypto/perlasm/arm-xlate.pl
index ca2f8b99..48819be5 100755
--- a/crypto/perlasm/arm-xlate.pl
+++ b/crypto/perlasm/arm-xlate.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -174,4 +174,4 @@ while(my $line=<>) {
print "\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/perlasm/ppc-xlate.pl b/crypto/perlasm/ppc-xlate.pl
index d220c624..08668b29 100755
--- a/crypto/perlasm/ppc-xlate.pl
+++ b/crypto/perlasm/ppc-xlate.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -341,4 +341,4 @@ while($line=<>) {
print "\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/perlasm/x86_64-xlate.pl b/crypto/perlasm/x86_64-xlate.pl
index 29a0eacf..59af6df9 100755
--- a/crypto/perlasm/x86_64-xlate.pl
+++ b/crypto/perlasm/x86_64-xlate.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1216,7 +1216,7 @@ while(defined(my $line=<>)) {
print "\n$current_segment\tENDS\n" if ($current_segment && $masm);
print "END\n" if ($masm);
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
#################################################
# Cross-reference x86_64 ABI "card"
diff --git a/crypto/pkcs12/p12_add.c b/crypto/pkcs12/p12_add.c
index 193ed809..af184c86 100644
--- a/crypto/pkcs12/p12_add.c
+++ b/crypto/pkcs12/p12_add.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
/* Pack an object into an OCTET STRING and turn into a safebag */
diff --git a/crypto/pkcs12/p12_asn.c b/crypto/pkcs12/p12_asn.c
index 422dfc39..88f14589 100644
--- a/crypto/pkcs12/p12_asn.c
+++ b/crypto/pkcs12/p12_asn.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
/* PKCS#12 ASN1 module */
diff --git a/crypto/pkcs12/p12_attr.c b/crypto/pkcs12/p12_attr.c
index c324f505..a958fdf3 100644
--- a/crypto/pkcs12/p12_attr.c
+++ b/crypto/pkcs12/p12_attr.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
/* Add a local keyid to a safebag */
diff --git a/crypto/pkcs12/p12_crt.c b/crypto/pkcs12/p12_crt.c
index 10cf8dd5..bfcae3f6 100644
--- a/crypto/pkcs12/p12_crt.c
+++ b/crypto/pkcs12/p12_crt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
static int pkcs12_add_bag(STACK_OF(PKCS12_SAFEBAG) **pbags,
PKCS12_SAFEBAG *bag);
@@ -62,7 +62,8 @@ PKCS12 *PKCS12_create(const char *pass, const char *name, EVP_PKEY *pkey, X509 *
if (pkey && cert) {
if (!X509_check_private_key(cert, pkey))
return NULL;
- X509_digest(cert, EVP_sha1(), keyid, &keyidlen);
+ if (!X509_digest(cert, EVP_sha1(), keyid, &keyidlen))
+ return NULL;
}
if (cert) {
diff --git a/crypto/pkcs12/p12_init.c b/crypto/pkcs12/p12_init.c
index 88db0f2d..7ecc29ec 100644
--- a/crypto/pkcs12/p12_init.c
+++ b/crypto/pkcs12/p12_init.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
/* Initialise a PKCS12 structure to take data */
diff --git a/crypto/pkcs12/p12_lcl.h b/crypto/pkcs12/p12_local.h
similarity index 100%
rename from crypto/pkcs12/p12_lcl.h
rename to crypto/pkcs12/p12_local.h
diff --git a/crypto/pkcs12/p12_mutl.c b/crypto/pkcs12/p12_mutl.c
index 0cbbed36..3658003f 100644
--- a/crypto/pkcs12/p12_mutl.c
+++ b/crypto/pkcs12/p12_mutl.c
@@ -13,7 +13,7 @@
#include <openssl/hmac.h>
#include <openssl/rand.h>
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
int PKCS12_mac_present(const PKCS12 *p12)
{
diff --git a/crypto/pkcs12/p12_npas.c b/crypto/pkcs12/p12_npas.c
index 0ce75ed3..0334289a 100644
--- a/crypto/pkcs12/p12_npas.c
+++ b/crypto/pkcs12/p12_npas.c
@@ -13,7 +13,7 @@
#include <openssl/pem.h>
#include <openssl/err.h>
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
/* PKCS#12 password change routine */
diff --git a/crypto/pkcs12/p12_p8e.c b/crypto/pkcs12/p12_p8e.c
index 86a07e13..05fc388a 100644
--- a/crypto/pkcs12/p12_p8e.c
+++ b/crypto/pkcs12/p12_p8e.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/pkcs12.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
X509_SIG *PKCS8_encrypt(int pbe_nid, const EVP_CIPHER *cipher,
const char *pass, int passlen,
diff --git a/crypto/pkcs12/p12_sbag.c b/crypto/pkcs12/p12_sbag.c
index a09c5b93..7cf52278 100644
--- a/crypto/pkcs12/p12_sbag.c
+++ b/crypto/pkcs12/p12_sbag.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/pkcs12.h>
-#include "p12_lcl.h"
+#include "p12_local.h"
#if OPENSSL_API_COMPAT < 0x10100000L
ASN1_TYPE *PKCS12_get_attr(const PKCS12_SAFEBAG *bag, int attr_nid)
diff --git a/crypto/pkcs7/pk7_lib.c b/crypto/pkcs7/pk7_lib.c
index 16b76431..ec4d9abd 100644
--- a/crypto/pkcs7/pk7_lib.c
+++ b/crypto/pkcs7/pk7_lib.c
@@ -11,8 +11,8 @@
#include "internal/cryptlib.h"
#include <openssl/objects.h>
#include <openssl/x509.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
long PKCS7_ctrl(PKCS7 *p7, int cmd, long larg, char *parg)
{
diff --git a/crypto/pkcs7/pk7_smime.c b/crypto/pkcs7/pk7_smime.c
index 44187230..a95db621 100644
--- a/crypto/pkcs7/pk7_smime.c
+++ b/crypto/pkcs7/pk7_smime.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -301,7 +301,7 @@ int PKCS7_verify(PKCS7 *p7, STACK_OF(X509) *certs, X509_STORE *store,
char *ptr;
long len;
len = BIO_get_mem_data(indata, &ptr);
- tmpin = BIO_new_mem_buf(ptr, len);
+ tmpin = (len == 0) ? indata : BIO_new_mem_buf(ptr, len);
if (tmpin == NULL) {
PKCS7err(PKCS7_F_PKCS7_VERIFY, ERR_R_MALLOC_FAILURE);
goto err;
diff --git a/crypto/poly1305/asm/poly1305-armv4.pl b/crypto/poly1305/asm/poly1305-armv4.pl
index 5cdb6be0..70f46cd1 100755
--- a/crypto/poly1305/asm/poly1305-armv4.pl
+++ b/crypto/poly1305/asm/poly1305-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -133,10 +133,10 @@ poly1305_init:
# ifdef __thumb2__
itete eq
# endif
- addeq r12,r11,#(poly1305_emit-.Lpoly1305_init)
- addne r12,r11,#(poly1305_emit_neon-.Lpoly1305_init)
- addeq r11,r11,#(poly1305_blocks-.Lpoly1305_init)
- addne r11,r11,#(poly1305_blocks_neon-.Lpoly1305_init)
+ addeq r12,r11,#(.Lpoly1305_emit-.Lpoly1305_init)
+ addne r12,r11,#(.Lpoly1305_emit_neon-.Lpoly1305_init)
+ addeq r11,r11,#(.Lpoly1305_blocks-.Lpoly1305_init)
+ addne r11,r11,#(.Lpoly1305_blocks_neon-.Lpoly1305_init)
# endif
# ifdef __thumb2__
orr r12,r12,#1 @ thumb-ify address
@@ -352,6 +352,7 @@ $code.=<<___;
.type poly1305_emit,%function
.align 5
poly1305_emit:
+.Lpoly1305_emit:
stmdb sp!,{r4-r11}
.Lpoly1305_emit_enter:
@@ -671,6 +672,7 @@ poly1305_init_neon:
.type poly1305_blocks_neon,%function
.align 5
poly1305_blocks_neon:
+.Lpoly1305_blocks_neon:
ldr ip,[$ctx,#36] @ is_base2_26
ands $len,$len,#-16
beq .Lno_data_neon
@@ -1157,6 +1159,7 @@ poly1305_blocks_neon:
.type poly1305_emit_neon,%function
.align 5
poly1305_emit_neon:
+.Lpoly1305_emit_neon:
ldr ip,[$ctx,#36] @ is_base2_26
stmdb sp!,{r4-r11}
@@ -1250,4 +1253,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/poly1305/asm/poly1305-armv8.pl b/crypto/poly1305/asm/poly1305-armv8.pl
index 6c6c9bb0..2a42b64a 100755
--- a/crypto/poly1305/asm/poly1305-armv8.pl
+++ b/crypto/poly1305/asm/poly1305-armv8.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -57,10 +57,14 @@ $code.=<<___;
// forward "declarations" are required for Apple
.extern OPENSSL_armcap_P
+.hidden OPENSSL_armcap_P
+.globl poly1305_init
+.hidden poly1305_init
.globl poly1305_blocks
+.hidden poly1305_blocks
.globl poly1305_emit
+.hidden poly1305_emit
-.globl poly1305_init
.type poly1305_init,%function
.align 5
poly1305_init:
@@ -860,8 +864,8 @@ poly1305_blocks_neon:
st1 {$ACC4}[0],[$ctx]
.Lno_data_neon:
- .inst 0xd50323bf // autiasp
ldr x29,[sp],#80
+ .inst 0xd50323bf // autiasp
ret
.size poly1305_blocks_neon,.-poly1305_blocks_neon
@@ -943,4 +947,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-mips.pl b/crypto/poly1305/asm/poly1305-mips.pl
index 28b6772e..965825dc 100755
--- a/crypto/poly1305/asm/poly1305-mips.pl
+++ b/crypto/poly1305/asm/poly1305-mips.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -433,5 +433,5 @@ ___
$output=pop and open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-ppc.pl b/crypto/poly1305/asm/poly1305-ppc.pl
index 0c6d015d..e5d6933a 100755
--- a/crypto/poly1305/asm/poly1305-ppc.pl
+++ b/crypto/poly1305/asm/poly1305-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -642,4 +642,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-ppcfp.pl b/crypto/poly1305/asm/poly1305-ppcfp.pl
index 09f81858..a9ab2071 100755
--- a/crypto/poly1305/asm/poly1305-ppcfp.pl
+++ b/crypto/poly1305/asm/poly1305-ppcfp.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -736,4 +736,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-s390x.pl b/crypto/poly1305/asm/poly1305-s390x.pl
index 82d757d9..bcc8fd3b 100755
--- a/crypto/poly1305/asm/poly1305-s390x.pl
+++ b/crypto/poly1305/asm/poly1305-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -224,4 +224,4 @@ $code =~ s/\`([^\`]*)\`/eval $1/gem;
$code =~ s/\b(srlg\s+)(%r[0-9]+\s*,)\s*([0-9]+)/$1$2$2$3/gm;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-sparcv9.pl b/crypto/poly1305/asm/poly1305-sparcv9.pl
index 0bdd0489..997e0d83 100755
--- a/crypto/poly1305/asm/poly1305-sparcv9.pl
+++ b/crypto/poly1305/asm/poly1305-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1117,4 +1117,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-x86.pl b/crypto/poly1305/asm/poly1305-x86.pl
index 1e09ddcc..2ae16a23 100755
--- a/crypto/poly1305/asm/poly1305-x86.pl
+++ b/crypto/poly1305/asm/poly1305-x86.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -71,7 +71,7 @@ if ($sse2) {
$avx = ($1>=2.09) + ($1>=2.10);
}
- if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|based on LLVM) ([3-9]\.[0-9]+)/) {
+ if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
}
@@ -1812,4 +1812,4 @@ sub vlazy_reduction {
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/asm/poly1305-x86_64.pl b/crypto/poly1305/asm/poly1305-x86_64.pl
index 342ad7f1..5f834d8f 100755
--- a/crypto/poly1305/asm/poly1305-x86_64.pl
+++ b/crypto/poly1305/asm/poly1305-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -90,7 +90,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=12);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -168,6 +168,7 @@ $code.=<<___;
.type poly1305_init,\@function,3
.align 32
poly1305_init:
+.cfi_startproc
xor %rax,%rax
mov %rax,0($ctx) # initialize hash value
mov %rax,8($ctx)
@@ -219,6 +220,7 @@ $code.=<<___;
mov \$1,%eax
.Lno_key:
ret
+.cfi_endproc
.size poly1305_init,.-poly1305_init
.type poly1305_blocks,\@function,4
@@ -298,6 +300,7 @@ $code.=<<___;
.type poly1305_emit,\@function,3
.align 32
poly1305_emit:
+.cfi_startproc
.Lemit:
mov 0($ctx),%r8 # load hash value
mov 8($ctx),%r9
@@ -318,6 +321,7 @@ poly1305_emit:
mov %rcx,8($mac)
ret
+.cfi_endproc
.size poly1305_emit,.-poly1305_emit
___
if ($avx) {
@@ -342,15 +346,18 @@ $code.=<<___;
.type __poly1305_block,\@abi-omnipotent
.align 32
__poly1305_block:
+.cfi_startproc
___
&poly1305_iteration();
$code.=<<___;
ret
+.cfi_endproc
.size __poly1305_block,.-__poly1305_block
.type __poly1305_init_avx,\@abi-omnipotent
.align 32
__poly1305_init_avx:
+.cfi_startproc
mov $r0,$h0
mov $r1,$h1
xor $h2,$h2
@@ -508,6 +515,7 @@ __poly1305_init_avx:
lea -48-64($ctx),$ctx # size [de-]optimization
ret
+.cfi_endproc
.size __poly1305_init_avx,.-__poly1305_init_avx
.type poly1305_blocks_avx,\@function,4
@@ -1373,6 +1381,7 @@ $code.=<<___;
.type poly1305_emit_avx,\@function,3
.align 32
poly1305_emit_avx:
+.cfi_startproc
cmpl \$0,20($ctx) # is_base2_26?
je .Lemit
@@ -1423,6 +1432,7 @@ poly1305_emit_avx:
mov %rcx,8($mac)
ret
+.cfi_endproc
.size poly1305_emit_avx,.-poly1305_emit_avx
___
@@ -2741,6 +2751,7 @@ $code.=<<___;
.type poly1305_init_base2_44,\@function,3
.align 32
poly1305_init_base2_44:
+.cfi_startproc
xor %rax,%rax
mov %rax,0($ctx) # initialize hash value
mov %rax,8($ctx)
@@ -2782,6 +2793,7 @@ ___
$code.=<<___;
mov \$1,%eax
ret
+.cfi_endproc
.size poly1305_init_base2_44,.-poly1305_init_base2_44
___
{
@@ -2793,6 +2805,7 @@ $code.=<<___;
.type poly1305_blocks_vpmadd52,\@function,4
.align 32
poly1305_blocks_vpmadd52:
+.cfi_startproc
shr \$4,$len
jz .Lno_data_vpmadd52 # too short
@@ -2899,6 +2912,7 @@ poly1305_blocks_vpmadd52:
.Lno_data_vpmadd52:
ret
+.cfi_endproc
.size poly1305_blocks_vpmadd52,.-poly1305_blocks_vpmadd52
___
}
@@ -2916,6 +2930,7 @@ $code.=<<___;
.type poly1305_blocks_vpmadd52_4x,\@function,4
.align 32
poly1305_blocks_vpmadd52_4x:
+.cfi_startproc
shr \$4,$len
jz .Lno_data_vpmadd52_4x # too short
@@ -3340,6 +3355,7 @@ poly1305_blocks_vpmadd52_4x:
.Lno_data_vpmadd52_4x:
ret
+.cfi_endproc
.size poly1305_blocks_vpmadd52_4x,.-poly1305_blocks_vpmadd52_4x
___
}
@@ -3358,6 +3374,7 @@ $code.=<<___;
.type poly1305_blocks_vpmadd52_8x,\@function,4
.align 32
poly1305_blocks_vpmadd52_8x:
+.cfi_startproc
shr \$4,$len
jz .Lno_data_vpmadd52_8x # too short
@@ -3713,6 +3730,7 @@ $code.=<<___;
.Lno_data_vpmadd52_8x:
ret
+.cfi_endproc
.size poly1305_blocks_vpmadd52_8x,.-poly1305_blocks_vpmadd52_8x
___
}
@@ -3720,6 +3738,7 @@ $code.=<<___;
.type poly1305_emit_base2_44,\@function,3
.align 32
poly1305_emit_base2_44:
+.cfi_startproc
mov 0($ctx),%r8 # load hash value
mov 8($ctx),%r9
mov 16($ctx),%r10
@@ -3750,6 +3769,7 @@ poly1305_emit_base2_44:
mov %rcx,8($mac)
ret
+.cfi_endproc
.size poly1305_emit_base2_44,.-poly1305_emit_base2_44
___
} } }
@@ -3800,6 +3820,7 @@ $code.=<<___;
.type xor128_encrypt_n_pad,\@abi-omnipotent
.align 16
xor128_encrypt_n_pad:
+.cfi_startproc
sub $otp,$inp
sub $otp,$out
mov $len,%r10 # put len aside
@@ -3841,12 +3862,14 @@ xor128_encrypt_n_pad:
.Ldone_enc:
mov $otp,%rax
ret
+.cfi_endproc
.size xor128_encrypt_n_pad,.-xor128_encrypt_n_pad
.globl xor128_decrypt_n_pad
.type xor128_decrypt_n_pad,\@abi-omnipotent
.align 16
xor128_decrypt_n_pad:
+.cfi_startproc
sub $otp,$inp
sub $otp,$out
mov $len,%r10 # put len aside
@@ -3892,6 +3915,7 @@ xor128_decrypt_n_pad:
.Ldone_dec:
mov $otp,%rax
ret
+.cfi_endproc
.size xor128_decrypt_n_pad,.-xor128_decrypt_n_pad
___
}
@@ -4156,4 +4180,4 @@ foreach (split('\n',$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/poly1305/poly1305.c b/crypto/poly1305/poly1305.c
index 1d182364..e7f5b92c 100644
--- a/crypto/poly1305/poly1305.c
+++ b/crypto/poly1305/poly1305.c
@@ -11,7 +11,7 @@
#include <string.h>
#include <openssl/crypto.h>
-#include "internal/poly1305.h"
+#include "crypto/poly1305.h"
#include "poly1305_local.h"
size_t Poly1305_ctx_size(void)
@@ -89,7 +89,7 @@ static void
poly1305_blocks(void *ctx, const unsigned char *inp, size_t len, u32 padbit);
/*
- * Type-agnostic "rip-off" from constant_time_locl.h
+ * Type-agnostic "rip-off" from constant_time.h
*/
# define CONSTANT_TIME_CARRY(a,b) ( \
(a ^ ((a ^ b) | ((a - b) ^ b))) >> (sizeof(a) * 8 - 1) \
diff --git a/crypto/poly1305/poly1305_ameth.c b/crypto/poly1305/poly1305_ameth.c
index 033ee8cd..0c8a91dc 100644
--- a/crypto/poly1305/poly1305_ameth.c
+++ b/crypto/poly1305/poly1305_ameth.c
@@ -10,10 +10,10 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "internal/asn1_int.h"
-#include "internal/poly1305.h"
+#include "crypto/asn1.h"
+#include "crypto/poly1305.h"
#include "poly1305_local.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/*
* POLY1305 "ASN1" method. This is just here to indicate the maximum
diff --git a/crypto/poly1305/poly1305_pmeth.c b/crypto/poly1305/poly1305_pmeth.c
index 3bc24c98..49a799a1 100644
--- a/crypto/poly1305/poly1305_pmeth.c
+++ b/crypto/poly1305/poly1305_pmeth.c
@@ -13,9 +13,9 @@
#include <openssl/x509v3.h>
#include <openssl/evp.h>
#include <openssl/err.h>
-#include "internal/poly1305.h"
+#include "crypto/poly1305.h"
#include "poly1305_local.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/* POLY1305 pkey context structure */
diff --git a/crypto/ppc_arch.h b/crypto/ppc_arch.h
index 72bd7468..e3845e93 100644
--- a/crypto/ppc_arch.h
+++ b/crypto/ppc_arch.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_PPC_ARCH_H
-# define HEADER_PPC_ARCH_H
+#ifndef OSSL_CRYPTO_PPC_ARCH_H
+# define OSSL_CRYPTO_PPC_ARCH_H
extern unsigned int OPENSSL_ppccap_P;
diff --git a/crypto/ppccap.c b/crypto/ppccap.c
index a5948520..e5115646 100644
--- a/crypto/ppccap.c
+++ b/crypto/ppccap.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2009-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2009-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -29,8 +29,8 @@
#include <openssl/crypto.h>
#include <openssl/bn.h>
#include <internal/cryptlib.h>
-#include <internal/chacha.h>
-#include "bn/bn_lcl.h"
+#include <crypto/chacha.h>
+#include "bn/bn_local.h"
#include "ppc_arch.h"
@@ -214,6 +214,24 @@ size_t OPENSSL_instrument_bus2(unsigned int *out, size_t cnt, size_t max)
# endif
#endif
+#if defined(__FreeBSD__)
+# include <sys/param.h>
+# if __FreeBSD_version >= 1200000
+# include <sys/auxv.h>
+# define OSSL_IMPLEMENT_GETAUXVAL
+
+static unsigned long getauxval(unsigned long key)
+{
+ unsigned long val = 0ul;
+
+ if (elf_aux_info((int)key, &val, sizeof(val)) != 0)
+ return 0ul;
+
+ return val;
+}
+# endif
+#endif
+
/* I wish <sys/auxv.h> was universally available */
#define HWCAP 16 /* AT_HWCAP */
#define HWCAP_PPC64 (1U << 30)
diff --git a/crypto/ppccpuid.pl b/crypto/ppccpuid.pl
index a38445fd..2065cbb8 100755
--- a/crypto/ppccpuid.pl
+++ b/crypto/ppccpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -379,4 +379,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/rand/build.info b/crypto/rand/build.info
index df9bac67..a4e7900b 100644
--- a/crypto/rand/build.info
+++ b/crypto/rand/build.info
@@ -2,3 +2,5 @@ LIBS=../../libcrypto
SOURCE[../../libcrypto]=\
randfile.c rand_lib.c rand_err.c rand_egd.c \
rand_win.c rand_unix.c rand_vms.c drbg_lib.c drbg_ctr.c
+
+INCLUDE[drbg_ctr.o]=../modes
diff --git a/crypto/rand/drbg_ctr.c b/crypto/rand/drbg_ctr.c
index a243361b..a757d0a2 100644
--- a/crypto/rand/drbg_ctr.c
+++ b/crypto/rand/drbg_ctr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,28 +12,25 @@
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/rand.h>
+#include "modes_local.h"
#include "internal/thread_once.h"
-#include "internal/thread_once.h"
-#include "rand_lcl.h"
+#include "rand_local.h"
+
/*
* Implementation of NIST SP 800-90A CTR DRBG.
*/
static void inc_128(RAND_DRBG_CTR *ctr)
{
- int i;
- unsigned char c;
- unsigned char *p = &ctr->V[15];
-
- for (i = 0; i < 16; i++, p--) {
- c = *p;
- c++;
- *p = c;
- if (c != 0) {
- /* If we didn't wrap around, we're done. */
- break;
- }
- }
+ unsigned char *p = &ctr->V[0];
+ u32 n = 16, c = 1;
+
+ do {
+ --n;
+ c += p[n];
+ p[n] = (u8)c;
+ c >>= 8;
+ } while (n);
}
static void ctr_XOR(RAND_DRBG_CTR *ctr, const unsigned char *in, size_t inlen)
@@ -66,15 +63,15 @@ static void ctr_XOR(RAND_DRBG_CTR *ctr, const unsigned char *in, size_t inlen)
* Process a complete block using BCC algorithm of SP 800-90A 10.3.3
*/
__owur static int ctr_BCC_block(RAND_DRBG_CTR *ctr, unsigned char *out,
- const unsigned char *in)
+ const unsigned char *in, int len)
{
int i, outlen = AES_BLOCK_SIZE;
- for (i = 0; i < 16; i++)
+ for (i = 0; i < len; i++)
out[i] ^= in[i];
- if (!EVP_CipherUpdate(ctr->ctx_df, out, &outlen, out, AES_BLOCK_SIZE)
- || outlen != AES_BLOCK_SIZE)
+ if (!EVP_CipherUpdate(ctr->ctx_df, out, &outlen, out, len)
+ || outlen != len)
return 0;
return 1;
}
@@ -85,12 +82,16 @@ __owur static int ctr_BCC_block(RAND_DRBG_CTR *ctr, unsigned char *out,
*/
__owur static int ctr_BCC_blocks(RAND_DRBG_CTR *ctr, const unsigned char *in)
{
- if (!ctr_BCC_block(ctr, ctr->KX, in)
- || !ctr_BCC_block(ctr, ctr->KX + 16, in))
- return 0;
- if (ctr->keylen != 16 && !ctr_BCC_block(ctr, ctr->KX + 32, in))
- return 0;
- return 1;
+ unsigned char in_tmp[48];
+ unsigned char num_of_blk = 2;
+
+ memcpy(in_tmp, in, 16);
+ memcpy(in_tmp + 16, in, 16);
+ if (ctr->keylen != 16) {
+ memcpy(in_tmp + 32, in, 16);
+ num_of_blk = 3;
+ }
+ return ctr_BCC_block(ctr, ctr->KX, in_tmp, AES_BLOCK_SIZE * num_of_blk);
}
/*
@@ -99,19 +100,14 @@ __owur static int ctr_BCC_blocks(RAND_DRBG_CTR *ctr, const unsigned char *in)
*/
__owur static int ctr_BCC_init(RAND_DRBG_CTR *ctr)
{
+ unsigned char bltmp[48] = {0};
+ unsigned char num_of_blk;
+
memset(ctr->KX, 0, 48);
- memset(ctr->bltmp, 0, 16);
- if (!ctr_BCC_block(ctr, ctr->KX, ctr->bltmp))
- return 0;
- ctr->bltmp[3] = 1;
- if (!ctr_BCC_block(ctr, ctr->KX + 16, ctr->bltmp))
- return 0;
- if (ctr->keylen != 16) {
- ctr->bltmp[3] = 2;
- if (!ctr_BCC_block(ctr, ctr->KX + 32, ctr->bltmp))
- return 0;
- }
- return 1;
+ num_of_blk = ctr->keylen == 16 ? 2 : 3;
+ bltmp[(AES_BLOCK_SIZE * 1) + 3] = 1;
+ bltmp[(AES_BLOCK_SIZE * 2) + 3] = 2;
+ return ctr_BCC_block(ctr, ctr->KX, bltmp, num_of_blk * AES_BLOCK_SIZE);
}
/*
@@ -200,20 +196,20 @@ __owur static int ctr_df(RAND_DRBG_CTR *ctr,
|| !ctr_BCC_final(ctr))
return 0;
/* Set up key K */
- if (!EVP_CipherInit_ex(ctr->ctx, ctr->cipher, NULL, ctr->KX, NULL, 1))
+ if (!EVP_CipherInit_ex(ctr->ctx_ecb, NULL, NULL, ctr->KX, NULL, -1))
return 0;
/* X follows key K */
- if (!EVP_CipherUpdate(ctr->ctx, ctr->KX, &outlen, ctr->KX + ctr->keylen,
+ if (!EVP_CipherUpdate(ctr->ctx_ecb, ctr->KX, &outlen, ctr->KX + ctr->keylen,
AES_BLOCK_SIZE)
|| outlen != AES_BLOCK_SIZE)
return 0;
- if (!EVP_CipherUpdate(ctr->ctx, ctr->KX + 16, &outlen, ctr->KX,
+ if (!EVP_CipherUpdate(ctr->ctx_ecb, ctr->KX + 16, &outlen, ctr->KX,
AES_BLOCK_SIZE)
|| outlen != AES_BLOCK_SIZE)
return 0;
if (ctr->keylen != 16)
- if (!EVP_CipherUpdate(ctr->ctx, ctr->KX + 32, &outlen, ctr->KX + 16,
- AES_BLOCK_SIZE)
+ if (!EVP_CipherUpdate(ctr->ctx_ecb, ctr->KX + 32, &outlen,
+ ctr->KX + 16, AES_BLOCK_SIZE)
|| outlen != AES_BLOCK_SIZE)
return 0;
return 1;
@@ -232,31 +228,25 @@ __owur static int ctr_update(RAND_DRBG *drbg,
{
RAND_DRBG_CTR *ctr = &drbg->data.ctr;
int outlen = AES_BLOCK_SIZE;
+ unsigned char V_tmp[48], out[48];
+ unsigned char len;
/* correct key is already set up. */
+ memcpy(V_tmp, ctr->V, 16);
inc_128(ctr);
- if (!EVP_CipherUpdate(ctr->ctx, ctr->K, &outlen, ctr->V, AES_BLOCK_SIZE)
- || outlen != AES_BLOCK_SIZE)
- return 0;
-
- /* If keylen longer than 128 bits need extra encrypt */
- if (ctr->keylen != 16) {
+ memcpy(V_tmp + 16, ctr->V, 16);
+ if (ctr->keylen == 16) {
+ len = 32;
+ } else {
inc_128(ctr);
- if (!EVP_CipherUpdate(ctr->ctx, ctr->K+16, &outlen, ctr->V,
- AES_BLOCK_SIZE)
- || outlen != AES_BLOCK_SIZE)
- return 0;
+ memcpy(V_tmp + 32, ctr->V, 16);
+ len = 48;
}
- inc_128(ctr);
- if (!EVP_CipherUpdate(ctr->ctx, ctr->V, &outlen, ctr->V, AES_BLOCK_SIZE)
- || outlen != AES_BLOCK_SIZE)
+ if (!EVP_CipherUpdate(ctr->ctx_ecb, out, &outlen, V_tmp, len)
+ || outlen != len)
return 0;
-
- /* If 192 bit key part of V is on end of K */
- if (ctr->keylen == 24) {
- memcpy(ctr->V + 8, ctr->V, 8);
- memcpy(ctr->V, ctr->K + 24, 8);
- }
+ memcpy(ctr->K, out, ctr->keylen);
+ memcpy(ctr->V, out + ctr->keylen, 16);
if ((drbg->flags & RAND_DRBG_FLAG_CTR_NO_DF) == 0) {
/* If no input reuse existing derived value */
@@ -271,7 +261,8 @@ __owur static int ctr_update(RAND_DRBG *drbg,
ctr_XOR(ctr, in2, in2len);
}
- if (!EVP_CipherInit_ex(ctr->ctx, ctr->cipher, NULL, ctr->K, NULL, 1))
+ if (!EVP_CipherInit_ex(ctr->ctx_ecb, NULL, NULL, ctr->K, NULL, -1)
+ || !EVP_CipherInit_ex(ctr->ctx_ctr, NULL, NULL, ctr->K, NULL, -1))
return 0;
return 1;
}
@@ -288,8 +279,10 @@ __owur static int drbg_ctr_instantiate(RAND_DRBG *drbg,
memset(ctr->K, 0, sizeof(ctr->K));
memset(ctr->V, 0, sizeof(ctr->V));
- if (!EVP_CipherInit_ex(ctr->ctx, ctr->cipher, NULL, ctr->K, NULL, 1))
+ if (!EVP_CipherInit_ex(ctr->ctx_ecb, NULL, NULL, ctr->K, NULL, -1))
return 0;
+
+ inc_128(ctr);
if (!ctr_update(drbg, entropy, entropylen, pers, perslen, nonce, noncelen))
return 0;
return 1;
@@ -299,20 +292,40 @@ __owur static int drbg_ctr_reseed(RAND_DRBG *drbg,
const unsigned char *entropy, size_t entropylen,
const unsigned char *adin, size_t adinlen)
{
+ RAND_DRBG_CTR *ctr = &drbg->data.ctr;
+
if (entropy == NULL)
return 0;
+
+ inc_128(ctr);
if (!ctr_update(drbg, entropy, entropylen, adin, adinlen, NULL, 0))
return 0;
return 1;
}
+static void ctr96_inc(unsigned char *counter)
+{
+ u32 n = 12, c = 1;
+
+ do {
+ --n;
+ c += counter[n];
+ counter[n] = (u8)c;
+ c >>= 8;
+ } while (n);
+}
+
__owur static int drbg_ctr_generate(RAND_DRBG *drbg,
unsigned char *out, size_t outlen,
const unsigned char *adin, size_t adinlen)
{
RAND_DRBG_CTR *ctr = &drbg->data.ctr;
+ unsigned int ctr32, blocks;
+ int outl, buflen;
if (adin != NULL && adinlen != 0) {
+ inc_128(ctr);
+
if (!ctr_update(drbg, adin, adinlen, NULL, 0, NULL, 0))
return 0;
/* This means we reuse derived value */
@@ -324,28 +337,53 @@ __owur static int drbg_ctr_generate(RAND_DRBG *drbg,
adinlen = 0;
}
- for ( ; ; ) {
- int outl = AES_BLOCK_SIZE;
+ inc_128(ctr);
+ if (outlen == 0) {
inc_128(ctr);
- if (outlen < 16) {
- /* Use K as temp space as it will be updated */
- if (!EVP_CipherUpdate(ctr->ctx, ctr->K, &outl, ctr->V,
- AES_BLOCK_SIZE)
- || outl != AES_BLOCK_SIZE)
- return 0;
- memcpy(out, ctr->K, outlen);
- break;
- }
- if (!EVP_CipherUpdate(ctr->ctx, out, &outl, ctr->V, AES_BLOCK_SIZE)
- || outl != AES_BLOCK_SIZE)
+
+ if (!ctr_update(drbg, adin, adinlen, NULL, 0, NULL, 0))
return 0;
- out += 16;
- outlen -= 16;
- if (outlen == 0)
- break;
+ return 1;
}
+ memset(out, 0, outlen);
+
+ do {
+ if (!EVP_CipherInit_ex(ctr->ctx_ctr,
+ NULL, NULL, NULL, ctr->V, -1))
+ return 0;
+
+ /*-
+ * outlen has type size_t while EVP_CipherUpdate takes an
+ * int argument and thus cannot be guaranteed to process more
+ * than 2^31-1 bytes at a time. We process such huge generate
+ * requests in 2^30 byte chunks, which is the greatest multiple
+ * of AES block size lower than or equal to 2^31-1.
+ */
+ buflen = outlen > (1U << 30) ? (1U << 30) : outlen;
+ blocks = (buflen + 15) / 16;
+
+ ctr32 = GETU32(ctr->V + 12) + blocks;
+ if (ctr32 < blocks) {
+ /* 32-bit counter overflow into V. */
+ if (ctr32 != 0) {
+ blocks -= ctr32;
+ buflen = blocks * 16;
+ ctr32 = 0;
+ }
+ ctr96_inc(ctr->V);
+ }
+ PUTU32(ctr->V + 12, ctr32);
+
+ if (!EVP_CipherUpdate(ctr->ctx_ctr, out, &outl, out, buflen)
+ || outl != buflen)
+ return 0;
+
+ out += buflen;
+ outlen -= buflen;
+ } while (outlen);
+
if (!ctr_update(drbg, adin, adinlen, NULL, 0, NULL, 0))
return 0;
return 1;
@@ -353,7 +391,8 @@ __owur static int drbg_ctr_generate(RAND_DRBG *drbg,
static int drbg_ctr_uninstantiate(RAND_DRBG *drbg)
{
- EVP_CIPHER_CTX_free(drbg->data.ctr.ctx);
+ EVP_CIPHER_CTX_free(drbg->data.ctr.ctx_ecb);
+ EVP_CIPHER_CTX_free(drbg->data.ctr.ctx_ctr);
EVP_CIPHER_CTX_free(drbg->data.ctr.ctx_df);
OPENSSL_cleanse(&drbg->data.ctr, sizeof(drbg->data.ctr));
return 1;
@@ -377,25 +416,36 @@ int drbg_ctr_init(RAND_DRBG *drbg)
return 0;
case NID_aes_128_ctr:
keylen = 16;
- ctr->cipher = EVP_aes_128_ecb();
+ ctr->cipher_ecb = EVP_aes_128_ecb();
+ ctr->cipher_ctr = EVP_aes_128_ctr();
break;
case NID_aes_192_ctr:
keylen = 24;
- ctr->cipher = EVP_aes_192_ecb();
+ ctr->cipher_ecb = EVP_aes_192_ecb();
+ ctr->cipher_ctr = EVP_aes_192_ctr();
break;
case NID_aes_256_ctr:
keylen = 32;
- ctr->cipher = EVP_aes_256_ecb();
+ ctr->cipher_ecb = EVP_aes_256_ecb();
+ ctr->cipher_ctr = EVP_aes_256_ctr();
break;
}
drbg->meth = &drbg_ctr_meth;
ctr->keylen = keylen;
- if (ctr->ctx == NULL)
- ctr->ctx = EVP_CIPHER_CTX_new();
- if (ctr->ctx == NULL)
+ if (ctr->ctx_ecb == NULL)
+ ctr->ctx_ecb = EVP_CIPHER_CTX_new();
+ if (ctr->ctx_ctr == NULL)
+ ctr->ctx_ctr = EVP_CIPHER_CTX_new();
+ if (ctr->ctx_ecb == NULL || ctr->ctx_ctr == NULL
+ || !EVP_CipherInit_ex(ctr->ctx_ecb,
+ ctr->cipher_ecb, NULL, NULL, NULL, 1)
+ || !EVP_CipherInit_ex(ctr->ctx_ctr,
+ ctr->cipher_ctr, NULL, NULL, NULL, 1))
return 0;
+
+ drbg->meth = &drbg_ctr_meth;
drbg->strength = keylen * 8;
drbg->seedlen = keylen + 16;
@@ -413,7 +463,8 @@ int drbg_ctr_init(RAND_DRBG *drbg)
if (ctr->ctx_df == NULL)
return 0;
/* Set key schedule for df_key */
- if (!EVP_CipherInit_ex(ctr->ctx_df, ctr->cipher, NULL, df_key, NULL, 1))
+ if (!EVP_CipherInit_ex(ctr->ctx_df,
+ ctr->cipher_ecb, NULL, df_key, NULL, 1))
return 0;
drbg->min_entropylen = ctr->keylen;
diff --git a/crypto/rand/drbg_lib.c b/crypto/rand/drbg_lib.c
index 12bb627a..8c7c28c9 100644
--- a/crypto/rand/drbg_lib.c
+++ b/crypto/rand/drbg_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,10 +11,10 @@
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/rand.h>
-#include "rand_lcl.h"
+#include "rand_local.h"
#include "internal/thread_once.h"
-#include "internal/rand_int.h"
-#include "internal/cryptlib_int.h"
+#include "crypto/rand.h"
+#include "crypto/cryptlib.h"
/*
* Support framework for NIST SP 800-90A DRBG
@@ -327,13 +327,6 @@ int RAND_DRBG_instantiate(RAND_DRBG *drbg,
max_entropylen += drbg->max_noncelen;
}
- drbg->reseed_next_counter = tsan_load(&drbg->reseed_prop_counter);
- if (drbg->reseed_next_counter) {
- drbg->reseed_next_counter++;
- if(!drbg->reseed_next_counter)
- drbg->reseed_next_counter = 1;
- }
-
if (drbg->get_entropy != NULL)
entropylen = drbg->get_entropy(drbg, &entropy, min_entropy,
min_entropylen, max_entropylen, 0);
@@ -359,9 +352,15 @@ int RAND_DRBG_instantiate(RAND_DRBG *drbg,
}
drbg->state = DRBG_READY;
- drbg->reseed_gen_counter = 1;
+ drbg->generate_counter = 1;
drbg->reseed_time = time(NULL);
- tsan_store(&drbg->reseed_prop_counter, drbg->reseed_next_counter);
+ if (drbg->enable_reseed_propagation) {
+ if (drbg->parent == NULL)
+ tsan_counter(&drbg->reseed_counter);
+ else
+ tsan_store(&drbg->reseed_counter,
+ tsan_load(&drbg->parent->reseed_counter));
+ }
end:
if (entropy != NULL && drbg->cleanup_entropy != NULL)
@@ -428,14 +427,6 @@ int RAND_DRBG_reseed(RAND_DRBG *drbg,
}
drbg->state = DRBG_ERROR;
-
- drbg->reseed_next_counter = tsan_load(&drbg->reseed_prop_counter);
- if (drbg->reseed_next_counter) {
- drbg->reseed_next_counter++;
- if(!drbg->reseed_next_counter)
- drbg->reseed_next_counter = 1;
- }
-
if (drbg->get_entropy != NULL)
entropylen = drbg->get_entropy(drbg, &entropy, drbg->strength,
drbg->min_entropylen,
@@ -451,9 +442,15 @@ int RAND_DRBG_reseed(RAND_DRBG *drbg,
goto end;
drbg->state = DRBG_READY;
- drbg->reseed_gen_counter = 1;
+ drbg->generate_counter = 1;
drbg->reseed_time = time(NULL);
- tsan_store(&drbg->reseed_prop_counter, drbg->reseed_next_counter);
+ if (drbg->enable_reseed_propagation) {
+ if (drbg->parent == NULL)
+ tsan_counter(&drbg->reseed_counter);
+ else
+ tsan_store(&drbg->reseed_counter,
+ tsan_load(&drbg->parent->reseed_counter));
+ }
end:
if (entropy != NULL && drbg->cleanup_entropy != NULL)
@@ -554,7 +551,9 @@ int rand_drbg_restart(RAND_DRBG *drbg,
drbg->meth->reseed(drbg, adin, adinlen, NULL, 0);
} else if (reseeded == 0) {
/* do a full reseeding if it has not been done yet above */
- RAND_DRBG_reseed(drbg, NULL, 0, 0);
+ if (!RAND_DRBG_reseed(drbg, NULL, 0, 0)) {
+ RANDerr(RAND_F_RAND_DRBG_RESTART, RAND_R_RESEED_ERROR);
+ }
}
}
@@ -612,7 +611,7 @@ int RAND_DRBG_generate(RAND_DRBG *drbg, unsigned char *out, size_t outlen,
}
if (drbg->reseed_interval > 0) {
- if (drbg->reseed_gen_counter >= drbg->reseed_interval)
+ if (drbg->generate_counter >= drbg->reseed_interval)
reseed_required = 1;
}
if (drbg->reseed_time_interval > 0) {
@@ -621,11 +620,8 @@ int RAND_DRBG_generate(RAND_DRBG *drbg, unsigned char *out, size_t outlen,
|| now - drbg->reseed_time >= drbg->reseed_time_interval)
reseed_required = 1;
}
- if (drbg->parent != NULL) {
- unsigned int reseed_counter = tsan_load(&drbg->reseed_prop_counter);
- if (reseed_counter > 0
- && tsan_load(&drbg->parent->reseed_prop_counter)
- != reseed_counter)
+ if (drbg->enable_reseed_propagation && drbg->parent != NULL) {
+ if (drbg->reseed_counter != tsan_load(&drbg->parent->reseed_counter))
reseed_required = 1;
}
@@ -644,7 +640,7 @@ int RAND_DRBG_generate(RAND_DRBG *drbg, unsigned char *out, size_t outlen,
return 0;
}
- drbg->reseed_gen_counter++;
+ drbg->generate_counter++;
return 1;
}
@@ -706,8 +702,7 @@ int RAND_DRBG_set_callbacks(RAND_DRBG *drbg,
RAND_DRBG_get_nonce_fn get_nonce,
RAND_DRBG_cleanup_nonce_fn cleanup_nonce)
{
- if (drbg->state != DRBG_UNINITIALISED
- || drbg->parent != NULL)
+ if (drbg->state != DRBG_UNINITIALISED)
return 0;
drbg->get_entropy = get_entropy;
drbg->cleanup_entropy = cleanup_entropy;
@@ -883,8 +878,9 @@ static RAND_DRBG *drbg_setup(RAND_DRBG *parent)
if (parent == NULL && rand_drbg_enable_locking(drbg) == 0)
goto err;
- /* enable seed propagation */
- tsan_store(&drbg->reseed_prop_counter, 1);
+ /* enable reseed propagation */
+ drbg->enable_reseed_propagation = 1;
+ drbg->reseed_counter = 1;
/*
* Ignore instantiation error to support just-in-time instantiation.
@@ -1044,7 +1040,7 @@ static int drbg_add(const void *buf, int num, double randomness)
return ret;
#else
/*
- * If an os entropy source is avaible then we declare the buffer content
+ * If an os entropy source is available then we declare the buffer content
* as additional data by setting randomness to zero and trigger a regular
* reseeding.
*/
diff --git a/crypto/rand/rand_err.c b/crypto/rand/rand_err.c
index ae4d8559..a3ae5f53 100644
--- a/crypto/rand/rand_err.c
+++ b/crypto/rand/rand_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,6 +14,8 @@
#ifndef OPENSSL_NO_ERR
static const ERR_STRING_DATA RAND_str_functs[] = {
+ {ERR_PACK(ERR_LIB_RAND, RAND_F_DATA_COLLECT_METHOD, 0),
+ "data_collect_method"},
{ERR_PACK(ERR_LIB_RAND, RAND_F_DRBG_BYTES, 0), "drbg_bytes"},
{ERR_PACK(ERR_LIB_RAND, RAND_F_DRBG_GET_ENTROPY, 0), "drbg_get_entropy"},
{ERR_PACK(ERR_LIB_RAND, RAND_F_DRBG_SETUP, 0), "drbg_setup"},
@@ -49,6 +51,7 @@ static const ERR_STRING_DATA RAND_str_functs[] = {
"rand_pool_bytes_needed"},
{ERR_PACK(ERR_LIB_RAND, RAND_F_RAND_POOL_GROW, 0), "rand_pool_grow"},
{ERR_PACK(ERR_LIB_RAND, RAND_F_RAND_POOL_NEW, 0), "rand_pool_new"},
+ {ERR_PACK(ERR_LIB_RAND, RAND_F_RAND_PSEUDO_BYTES, 0), "RAND_pseudo_bytes"},
{ERR_PACK(ERR_LIB_RAND, RAND_F_RAND_WRITE_FILE, 0), "RAND_write_file"},
{0, NULL}
};
diff --git a/crypto/rand/rand_lib.c b/crypto/rand/rand_lib.c
index 91b26523..ba3a29e5 100644
--- a/crypto/rand/rand_lib.c
+++ b/crypto/rand/rand_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,10 +11,10 @@
#include <time.h>
#include "internal/cryptlib.h"
#include <openssl/opensslconf.h>
-#include "internal/rand_int.h"
+#include "crypto/rand.h"
#include <openssl/engine.h>
#include "internal/thread_once.h"
-#include "rand_lcl.h"
+#include "rand_local.h"
#include "e_os.h"
#ifndef OPENSSL_NO_ENGINE
@@ -174,8 +174,6 @@ size_t rand_drbg_get_entropy(RAND_DRBG *drbg,
prediction_resistance,
(unsigned char *)&drbg, sizeof(drbg)) != 0)
bytes = bytes_needed;
- drbg->reseed_next_counter
- = tsan_load(&drbg->parent->reseed_prop_counter);
rand_drbg_unlock(drbg->parent);
rand_pool_add_end(pool, bytes, 8 * bytes);
@@ -386,6 +384,9 @@ int RAND_poll(void)
const RAND_METHOD *meth = RAND_get_rand_method();
+ if (meth == NULL)
+ return 0;
+
if (meth == RAND_OpenSSL()) {
/* fill random pool and seed the master DRBG */
RAND_DRBG *drbg = RAND_DRBG_get0_master();
@@ -765,7 +766,7 @@ int rand_pool_add(RAND_POOL *pool,
* is returned without producing an error message.
*
* After updating the buffer, rand_pool_add_end() needs to be called
- * to finish the udpate operation (see next comment).
+ * to finish the update operation (see next comment).
*/
unsigned char *rand_pool_add_begin(RAND_POOL *pool, size_t len)
{
@@ -896,7 +897,7 @@ void RAND_seed(const void *buf, int num)
{
const RAND_METHOD *meth = RAND_get_rand_method();
- if (meth->seed != NULL)
+ if (meth != NULL && meth->seed != NULL)
meth->seed(buf, num);
}
@@ -904,7 +905,7 @@ void RAND_add(const void *buf, int num, double randomness)
{
const RAND_METHOD *meth = RAND_get_rand_method();
- if (meth->add != NULL)
+ if (meth != NULL && meth->add != NULL)
meth->add(buf, num, randomness);
}
@@ -917,24 +918,22 @@ int RAND_priv_bytes(unsigned char *buf, int num)
{
const RAND_METHOD *meth = RAND_get_rand_method();
RAND_DRBG *drbg;
- int ret;
- if (meth != RAND_OpenSSL())
+ if (meth != NULL && meth != RAND_OpenSSL())
return RAND_bytes(buf, num);
drbg = RAND_DRBG_get0_private();
- if (drbg == NULL)
- return 0;
+ if (drbg != NULL)
+ return RAND_DRBG_bytes(drbg, buf, num);
- ret = RAND_DRBG_bytes(drbg, buf, num);
- return ret;
+ return 0;
}
int RAND_bytes(unsigned char *buf, int num)
{
const RAND_METHOD *meth = RAND_get_rand_method();
- if (meth->bytes != NULL)
+ if (meth != NULL && meth->bytes != NULL)
return meth->bytes(buf, num);
RANDerr(RAND_F_RAND_BYTES, RAND_R_FUNC_NOT_IMPLEMENTED);
return -1;
@@ -945,8 +944,9 @@ int RAND_pseudo_bytes(unsigned char *buf, int num)
{
const RAND_METHOD *meth = RAND_get_rand_method();
- if (meth->pseudorand != NULL)
+ if (meth != NULL && meth->pseudorand != NULL)
return meth->pseudorand(buf, num);
+ RANDerr(RAND_F_RAND_PSEUDO_BYTES, RAND_R_FUNC_NOT_IMPLEMENTED);
return -1;
}
#endif
@@ -955,7 +955,7 @@ int RAND_status(void)
{
const RAND_METHOD *meth = RAND_get_rand_method();
- if (meth->status != NULL)
+ if (meth != NULL && meth->status != NULL)
return meth->status();
return 0;
}
diff --git a/crypto/rand/rand_lcl.h b/crypto/rand/rand_local.h
similarity index 94%
rename from crypto/rand/rand_lcl.h
rename to crypto/rand/rand_local.h
index 306c59f6..a5de5252 100644
--- a/crypto/rand/rand_lcl.h
+++ b/crypto/rand/rand_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_RAND_LCL_H
-# define HEADER_RAND_LCL_H
+#ifndef OSSL_CRYPTO_RAND_LOCAL_H
+# define OSSL_CRYPTO_RAND_LOCAL_H
# include <openssl/aes.h>
# include <openssl/evp.h>
@@ -82,7 +82,7 @@
* Typically, the DRBGs will set a minimum larger than this so optimal
* allocation ought to take place (for full quality seed material).
*
- * The normal value has been chosed by noticing that the rand_drbg_get_nonce
+ * The normal value has been chosen by noticing that the rand_drbg_get_nonce
* function is usually the largest of the built in allocation (twenty four
* bytes and then appending another sixteen bytes). This means the buffer ends
* with 40 bytes. The value of forty eight is comfortably above this which
@@ -138,9 +138,11 @@ typedef struct rand_drbg_method_st {
* The state of a DRBG AES-CTR.
*/
typedef struct rand_drbg_ctr_st {
- EVP_CIPHER_CTX *ctx;
+ EVP_CIPHER_CTX *ctx_ecb;
+ EVP_CIPHER_CTX *ctx_ctr;
EVP_CIPHER_CTX *ctx_df;
- const EVP_CIPHER *cipher;
+ const EVP_CIPHER *cipher_ecb;
+ const EVP_CIPHER *cipher_ctr;
size_t keylen;
unsigned char K[32];
unsigned char V[16];
@@ -233,7 +235,7 @@ struct rand_drbg_st {
size_t max_perslen, max_adinlen;
/* Counts the number of generate requests since the last reseed. */
- unsigned int reseed_gen_counter;
+ unsigned int generate_counter;
/*
* Maximum number of generate requests until a reseed is required.
* This value is ignored if it is zero.
@@ -246,9 +248,15 @@ struct rand_drbg_st {
* This value is ignored if it is zero.
*/
time_t reseed_time_interval;
+
+ /*
+ * Enables reseed propagation (see following comment)
+ */
+ unsigned int enable_reseed_propagation;
+
/*
* Counts the number of reseeds since instantiation.
- * This value is ignored if it is zero.
+ * This value is ignored if enable_reseed_propagation is zero.
*
* This counter is used only for seed propagation from the <master> DRBG
* to its two children, the <public> and <private> DRBG. This feature is
@@ -256,8 +264,7 @@ struct rand_drbg_st {
* is added by RAND_add() or RAND_seed() will have an immediate effect on
* the output of RAND_bytes() resp. RAND_priv_bytes().
*/
- TSAN_QUALIFIER unsigned int reseed_prop_counter;
- unsigned int reseed_next_counter;
+ TSAN_QUALIFIER unsigned int reseed_counter;
size_t seedlen;
DRBG_STATUS state;
diff --git a/crypto/rand/rand_unix.c b/crypto/rand/rand_unix.c
index 69efcdee..ec6be791 100644
--- a/crypto/rand/rand_unix.c
+++ b/crypto/rand/rand_unix.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,8 +15,8 @@
#include "internal/cryptlib.h"
#include <openssl/rand.h>
#include <openssl/crypto.h>
-#include "rand_lcl.h"
-#include "internal/rand_int.h"
+#include "rand_local.h"
+#include "crypto/rand.h"
#include <stdio.h>
#include "internal/dso.h"
#ifdef __linux
@@ -26,12 +26,12 @@
# include <sys/utsname.h>
# endif
#endif
-#if defined(__FreeBSD__) && !defined(OPENSSL_SYS_UEFI)
+#if (defined(__FreeBSD__) || defined(__NetBSD__)) && !defined(OPENSSL_SYS_UEFI)
# include <sys/types.h>
# include <sys/sysctl.h>
# include <sys/param.h>
#endif
-#if defined(__OpenBSD__) || defined(__NetBSD__)
+#if defined(__OpenBSD__)
# include <sys/param.h>
#endif
@@ -80,7 +80,8 @@ static uint64_t get_timer_bits(void);
# define OSSL_POSIX_TIMER_OKAY
# endif
# endif
-#endif /* defined(OPENSSL_SYS_UNIX) || defined(__DJGPP__) */
+#endif /* (defined(OPENSSL_SYS_UNIX) && !defined(OPENSSL_SYS_VXWORKS))
+ || defined(__DJGPP__) */
#if defined(OPENSSL_RAND_SEED_NONE)
/* none means none. this simplifies the following logic */
@@ -246,10 +247,12 @@ static ssize_t sysctl_random(char *buf, size_t buflen)
* when the sysctl returns long and we want to request something not a
* multiple of longs, which should never be the case.
*/
+#if defined(__FreeBSD__)
if (!ossl_assert(buflen % sizeof(long) == 0)) {
errno = EINVAL;
return -1;
}
+#endif
/*
* On NetBSD before 4.0 KERN_ARND was an alias for KERN_URND, and only
@@ -267,7 +270,7 @@ static ssize_t sysctl_random(char *buf, size_t buflen)
mib[1] = KERN_ARND;
do {
- len = buflen;
+ len = buflen > 256 ? 256 : buflen;
if (sysctl(mib, 2, buf, &len, NULL, 0) == -1)
return done > 0 ? done : -1;
done += len;
@@ -282,12 +285,58 @@ static ssize_t sysctl_random(char *buf, size_t buflen)
# if defined(OPENSSL_RAND_SEED_GETRANDOM)
# if defined(__linux) && !defined(__NR_getrandom)
-# if defined(__arm__) && defined(__NR_SYSCALL_BASE)
+# if defined(__arm__)
# define __NR_getrandom (__NR_SYSCALL_BASE+384)
# elif defined(__i386__)
# define __NR_getrandom 355
-# elif defined(__x86_64__) && !defined(__ILP32__)
-# define __NR_getrandom 318
+# elif defined(__x86_64__)
+# if defined(__ILP32__)
+# define __NR_getrandom (__X32_SYSCALL_BIT + 318)
+# else
+# define __NR_getrandom 318
+# endif
+# elif defined(__xtensa__)
+# define __NR_getrandom 338
+# elif defined(__s390__) || defined(__s390x__)
+# define __NR_getrandom 349
+# elif defined(__bfin__)
+# define __NR_getrandom 389
+# elif defined(__powerpc__)
+# define __NR_getrandom 359
+# elif defined(__mips__) || defined(__mips64)
+# if _MIPS_SIM == _MIPS_SIM_ABI32
+# define __NR_getrandom (__NR_Linux + 353)
+# elif _MIPS_SIM == _MIPS_SIM_ABI64
+# define __NR_getrandom (__NR_Linux + 313)
+# elif _MIPS_SIM == _MIPS_SIM_NABI32
+# define __NR_getrandom (__NR_Linux + 317)
+# endif
+# elif defined(__hppa__)
+# define __NR_getrandom (__NR_Linux + 339)
+# elif defined(__sparc__)
+# define __NR_getrandom 347
+# elif defined(__ia64__)
+# define __NR_getrandom 1339
+# elif defined(__alpha__)
+# define __NR_getrandom 511
+# elif defined(__sh__)
+# if defined(__SH5__)
+# define __NR_getrandom 373
+# else
+# define __NR_getrandom 384
+# endif
+# elif defined(__avr32__)
+# define __NR_getrandom 317
+# elif defined(__microblaze__)
+# define __NR_getrandom 385
+# elif defined(__m68k__)
+# define __NR_getrandom 352
+# elif defined(__cris__)
+# define __NR_getrandom 356
+# elif defined(__aarch64__)
+# define __NR_getrandom 278
+# else /* generic */
+# define __NR_getrandom 278
# endif
# endif
@@ -316,12 +365,19 @@ static ssize_t syscall_random(void *buf, size_t buflen)
* - OpenBSD since 5.6
* - Linux since 3.17 with glibc 2.25
* - FreeBSD since 12.0 (1200061)
+ *
+ * Note: Sometimes getentropy() can be provided but not implemented
+ * internally. So we need to check errno for ENOSYS
*/
# if defined(__GNUC__) && __GNUC__>=2 && defined(__ELF__) && !defined(__hpux)
extern int getentropy(void *buffer, size_t length) __attribute__((weak));
- if (getentropy != NULL)
- return getentropy(buf, buflen) == 0 ? (ssize_t)buflen : -1;
+ if (getentropy != NULL) {
+ if (getentropy(buf, buflen) == 0)
+ return (ssize_t)buflen;
+ if (errno != ENOSYS)
+ return -1;
+ }
# else
union {
void *p;
@@ -362,7 +418,8 @@ static struct random_device {
} random_devices[OSSL_NELEM(random_device_paths)];
static int keep_random_devices_open = 1;
-# if defined(__linux) && defined(DEVRANDOM_WAIT)
+# if defined(__linux) && defined(DEVRANDOM_WAIT) \
+ && defined(OPENSSL_RAND_SEED_GETRANDOM)
static void *shm_addr;
static void cleanup_shm(void)
@@ -440,7 +497,7 @@ static int wait_random_seeded(void)
}
return seeded;
}
-# else /* defined __linux */
+# else /* defined __linux && DEVRANDOM_WAIT && OPENSSL_RAND_SEED_GETRANDOM */
static int wait_random_seeded(void)
{
return 1;
@@ -814,4 +871,5 @@ static uint64_t get_timer_bits(void)
# endif
return time(NULL);
}
-#endif /* defined(OPENSSL_SYS_UNIX) || defined(__DJGPP__) */
+#endif /* (defined(OPENSSL_SYS_UNIX) && !defined(OPENSSL_SYS_VXWORKS))
+ || defined(__DJGPP__) */
diff --git a/crypto/rand/rand_vms.c b/crypto/rand/rand_vms.c
index e1e1c0b9..61c2f102 100644
--- a/crypto/rand/rand_vms.c
+++ b/crypto/rand/rand_vms.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,9 +13,11 @@
# define __NEW_STARLET 1 /* New starlet definitions since VMS 7.0 */
# include <unistd.h>
# include "internal/cryptlib.h"
+# include <openssl/bio.h>
+# include <openssl/err.h>
# include <openssl/rand.h>
-# include "internal/rand_int.h"
-# include "rand_lcl.h"
+# include "crypto/rand.h"
+# include "rand_local.h"
# include <descrip.h>
# include <dvidef.h>
# include <jpidef.h>
@@ -32,10 +34,21 @@
# pragma message disable DOLLARID
# endif
+# include <dlfcn.h> /* SYS$GET_ENTROPY presence */
+
# ifndef OPENSSL_RAND_SEED_OS
# error "Unsupported seeding method configured; must be os"
# endif
+/*
+ * DATA COLLECTION METHOD
+ * ======================
+ *
+ * This is a method to get low quality entropy.
+ * It works by collecting all kinds of statistical data that
+ * VMS offers and using them as random seed.
+ */
+
/* We need to make sure we have the right size pointer in some cases */
# if __INITIAL_POINTER_SIZE == 64
# pragma pointer_size save
@@ -330,7 +343,7 @@ static void massage_JPI(ILE3 *items)
*/
#define ENTROPY_FACTOR 20
-size_t rand_pool_acquire_entropy(RAND_POOL *pool)
+size_t data_collect_method(RAND_POOL *pool)
{
ILE3 JPI_items_64bit[OSSL_NELEM(JPI_item_data_64bit) + 1];
ILE3 RMI_items_64bit[OSSL_NELEM(RMI_item_data_64bit) + 1];
@@ -445,15 +458,12 @@ size_t rand_pool_acquire_entropy(RAND_POOL *pool)
* If we can't feed the requirements from the caller, we're in deep trouble.
*/
if (!ossl_assert(total_length >= bytes_needed)) {
- char neededstr[20];
- char availablestr[20];
-
- BIO_snprintf(neededstr, sizeof(neededstr), "%zu", bytes_needed);
- BIO_snprintf(availablestr, sizeof(availablestr), "%zu", total_length);
- RANDerr(RAND_F_RAND_POOL_ACQUIRE_ENTROPY,
- RAND_R_RANDOM_POOL_UNDERFLOW);
- ERR_add_error_data(4, "Needed: ", neededstr, ", Available: ",
- availablestr);
+ char buf[100]; /* That should be enough */
+
+ BIO_snprintf(buf, sizeof(buf), "Needed: %zu, Available: %zu",
+ bytes_needed, total_length);
+ RANDerr(RAND_F_DATA_COLLECT_METHOD, RAND_R_RANDOM_POOL_UNDERFLOW);
+ ERR_add_error_data(1, buf);
return 0;
}
@@ -480,7 +490,7 @@ int rand_pool_add_nonce_data(RAND_POOL *pool)
/*
* Add process id, thread id, and a high resolution timestamp
* (where available, which is OpenVMS v8.4 and up) to ensure that
- * the nonce is unique whith high probability for different process
+ * the nonce is unique with high probability for different process
* instances.
*/
data.pid = getpid();
@@ -494,6 +504,80 @@ int rand_pool_add_nonce_data(RAND_POOL *pool)
return rand_pool_add(pool, (unsigned char *)&data, sizeof(data), 0);
}
+/*
+ * SYS$GET_ENTROPY METHOD
+ * ======================
+ *
+ * This is a high entropy method based on a new system service that is
+ * based on getentropy() from FreeBSD 12. It's only used if available,
+ * and its availability is detected at run-time.
+ *
+ * We assume that this function provides full entropy random output.
+ */
+#define PUBLIC_VECTORS "SYS$LIBRARY:SYS$PUBLIC_VECTORS.EXE"
+#define GET_ENTROPY "SYS$GET_ENTROPY"
+
+static int get_entropy_address_flag = 0;
+static int (*get_entropy_address)(void *buffer, size_t buffer_size) = NULL;
+static int init_get_entropy_address(void)
+{
+ if (get_entropy_address_flag == 0)
+ get_entropy_address = dlsym(dlopen(PUBLIC_VECTORS, 0), GET_ENTROPY);
+ get_entropy_address_flag = 1;
+ return get_entropy_address != NULL;
+}
+
+size_t get_entropy_method(RAND_POOL *pool)
+{
+ /*
+ * The documentation says that SYS$GET_ENTROPY will give a maximum of
+ * 256 bytes of data.
+ */
+ unsigned char buffer[256];
+ size_t bytes_needed;
+ size_t bytes_to_get = 0;
+ uint32_t status;
+
+ for (bytes_needed = rand_pool_bytes_needed(pool, 1);
+ bytes_needed > 0;
+ bytes_needed -= bytes_to_get) {
+ bytes_to_get =
+ bytes_needed > sizeof(buffer) ? sizeof(buffer) : bytes_needed;
+
+ status = get_entropy_address(buffer, bytes_to_get);
+ if (status == SS$_RETRY) {
+ /* Set to zero so the loop doesn't diminish |bytes_needed| */
+ bytes_to_get = 0;
+ /* Should sleep some amount of time */
+ continue;
+ }
+
+ if (status != SS$_NORMAL) {
+ lib$signal(status);
+ return 0;
+ }
+
+ rand_pool_add(pool, buffer, bytes_to_get, 8 * bytes_to_get);
+ }
+
+ return rand_pool_entropy_available(pool);
+}
+
+/*
+ * MAIN ENTROPY ACQUISITION FUNCTIONS
+ * ==================================
+ *
+ * These functions are called by the RAND / DRBG functions
+ */
+
+size_t rand_pool_acquire_entropy(RAND_POOL *pool)
+{
+ if (init_get_entropy_address())
+ return get_entropy_method(pool);
+ return data_collect_method(pool);
+}
+
+
int rand_pool_add_additional_data(RAND_POOL *pool)
{
struct {
diff --git a/crypto/rand/rand_win.c b/crypto/rand/rand_win.c
index a9c5751f..90365460 100644
--- a/crypto/rand/rand_win.c
+++ b/crypto/rand/rand_win.c
@@ -9,8 +9,8 @@
#include "internal/cryptlib.h"
#include <openssl/rand.h>
-#include "rand_lcl.h"
-#include "internal/rand_int.h"
+#include "rand_local.h"
+#include "crypto/rand.h"
#if defined(OPENSSL_SYS_WINDOWS) || defined(OPENSSL_SYS_WIN32)
# ifndef OPENSSL_RAND_SEED_OS
@@ -130,7 +130,7 @@ int rand_pool_add_nonce_data(RAND_POOL *pool)
/*
* Add process id, thread id, and a high resolution timestamp to
- * ensure that the nonce is unique whith high probability for
+ * ensure that the nonce is unique with high probability for
* different process instances.
*/
data.pid = GetCurrentProcessId();
diff --git a/crypto/rand/randfile.c b/crypto/rand/randfile.c
index ba121eef..229ce864 100644
--- a/crypto/rand/randfile.c
+++ b/crypto/rand/randfile.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -26,7 +26,7 @@
#ifndef OPENSSL_NO_POSIX_IO
# include <sys/stat.h>
# include <fcntl.h>
-# ifdef _WIN32
+# if defined(_WIN32) && !defined(_WIN32_WCE)
# include <windows.h>
# include <io.h>
# define stat _stat
diff --git a/crypto/rc2/rc2_cbc.c b/crypto/rc2/rc2_cbc.c
index 2b59353b..17e86f69 100644
--- a/crypto/rc2/rc2_cbc.c
+++ b/crypto/rc2/rc2_cbc.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc2.h>
-#include "rc2_locl.h"
+#include "rc2_local.h"
void RC2_cbc_encrypt(const unsigned char *in, unsigned char *out, long length,
RC2_KEY *ks, unsigned char *iv, int encrypt)
diff --git a/crypto/rc2/rc2_ecb.c b/crypto/rc2/rc2_ecb.c
index fb2f7827..8d9927cd 100644
--- a/crypto/rc2/rc2_ecb.c
+++ b/crypto/rc2/rc2_ecb.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc2.h>
-#include "rc2_locl.h"
+#include "rc2_local.h"
#include <openssl/opensslv.h>
/*-
diff --git a/crypto/rc2/rc2_locl.h b/crypto/rc2/rc2_local.h
similarity index 100%
rename from crypto/rc2/rc2_locl.h
rename to crypto/rc2/rc2_local.h
diff --git a/crypto/rc2/rc2_skey.c b/crypto/rc2/rc2_skey.c
index 55d8ba37..60ebd42f 100644
--- a/crypto/rc2/rc2_skey.c
+++ b/crypto/rc2/rc2_skey.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc2.h>
-#include "rc2_locl.h"
+#include "rc2_local.h"
static const unsigned char key_table[256] = {
0xd9, 0x78, 0xf9, 0xc4, 0x19, 0xdd, 0xb5, 0xed, 0x28, 0xe9, 0xfd, 0x79,
diff --git a/crypto/rc2/rc2cfb64.c b/crypto/rc2/rc2cfb64.c
index e11093db..8d1c3a4d 100644
--- a/crypto/rc2/rc2cfb64.c
+++ b/crypto/rc2/rc2cfb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc2.h>
-#include "rc2_locl.h"
+#include "rc2_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/rc2/rc2ofb64.c b/crypto/rc2/rc2ofb64.c
index d610278a..61b2c564 100644
--- a/crypto/rc2/rc2ofb64.c
+++ b/crypto/rc2/rc2ofb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc2.h>
-#include "rc2_locl.h"
+#include "rc2_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/rc4/asm/rc4-586.pl b/crypto/rc4/asm/rc4-586.pl
index 8c5cf87d..3a936de1 100644
--- a/crypto/rc4/asm/rc4-586.pl
+++ b/crypto/rc4/asm/rc4-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1998-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1998-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -423,4 +423,4 @@ $idx="edx";
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/rc4/asm/rc4-c64xplus.pl b/crypto/rc4/asm/rc4-c64xplus.pl
index 1354d182..b12d044a 100644
--- a/crypto/rc4/asm/rc4-c64xplus.pl
+++ b/crypto/rc4/asm/rc4-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -189,4 +189,4 @@ ___
$output=pop;
open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/rc4/asm/rc4-md5-x86_64.pl b/crypto/rc4/asm/rc4-md5-x86_64.pl
index 74e51910..7aa5c21b 100644
--- a/crypto/rc4/asm/rc4-md5-x86_64.pl
+++ b/crypto/rc4/asm/rc4-md5-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -484,6 +484,7 @@ $code.=<<___;
.type RC4_set_key,\@function,3
.align 16
RC4_set_key:
+.cfi_startproc
lea 8($dat),$dat
lea ($inp,$len),$inp
neg $len
@@ -519,6 +520,7 @@ RC4_set_key:
mov %eax,-8($dat)
mov %eax,-4($dat)
ret
+.cfi_endproc
.size RC4_set_key,.-RC4_set_key
.globl RC4_options
@@ -658,4 +660,4 @@ $code =~ s/#rc4#//gm if ($rc4);
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/rc4/asm/rc4-parisc.pl b/crypto/rc4/asm/rc4-parisc.pl
index 4111f339..631e742b 100644
--- a/crypto/rc4/asm/rc4-parisc.pl
+++ b/crypto/rc4/asm/rc4-parisc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -330,4 +330,4 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/rc4/asm/rc4-s390x.pl b/crypto/rc4/asm/rc4-s390x.pl
index 469f110f..dded0b75 100644
--- a/crypto/rc4/asm/rc4-s390x.pl
+++ b/crypto/rc4/asm/rc4-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -184,7 +184,7 @@ $code.=<<___;
RC4_set_key:
stm${g} %r6,%r8,6*$SIZE_T($sp)
lhi $cnt,256
- la $idx,0(%r0)
+ la $idx,0
sth $idx,0($key)
.align 4
.L1stloop:
@@ -194,8 +194,8 @@ RC4_set_key:
lghi $ikey,-256
lr $cnt,$len
- la $iinp,0(%r0)
- la $idx,0(%r0)
+ la $iinp,0
+ la $idx,0
.align 16
.L2ndloop:
llgc $acc,2+256($ikey,$key)
@@ -212,7 +212,7 @@ RC4_set_key:
jz .Ldone
brct $cnt,.L2ndloop
lr $cnt,$len
- la $iinp,0(%r0)
+ la $iinp,0
j .L2ndloop
.Ldone:
lm${g} %r6,%r8,6*$SIZE_T($sp)
@@ -238,4 +238,4 @@ RC4_options:
___
print $code;
-close STDOUT; # force flush
+close STDOUT or die "error closing STDOUT: $!"; # force flush
diff --git a/crypto/rc4/asm/rc4-x86_64.pl b/crypto/rc4/asm/rc4-x86_64.pl
index 1a9cc47d..423eb5b4 100755
--- a/crypto/rc4/asm/rc4-x86_64.pl
+++ b/crypto/rc4/asm/rc4-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -138,11 +138,12 @@ $code=<<___;
.globl RC4
.type RC4,\@function,4
.align 16
-RC4: or $len,$len
+RC4:
+.cfi_startproc
+ or $len,$len
jne .Lentry
ret
.Lentry:
-.cfi_startproc
push %rbx
.cfi_push %rbx
push %r12
@@ -453,6 +454,7 @@ $code.=<<___;
.type RC4_set_key,\@function,3
.align 16
RC4_set_key:
+.cfi_startproc
lea 8($dat),$dat
lea ($inp,$len),$inp
neg $len
@@ -519,12 +521,14 @@ RC4_set_key:
mov %eax,-8($dat)
mov %eax,-4($dat)
ret
+.cfi_endproc
.size RC4_set_key,.-RC4_set_key
.globl RC4_options
.type RC4_options,\@abi-omnipotent
.align 16
RC4_options:
+.cfi_startproc
lea .Lopts(%rip),%rax
mov OPENSSL_ia32cap_P(%rip),%edx
bt \$20,%edx
@@ -537,6 +541,7 @@ RC4_options:
add \$12,%rax
.Ldone:
ret
+.cfi_endproc
.align 64
.Lopts:
.asciz "rc4(8x,int)"
@@ -693,4 +698,4 @@ $code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/rc4/rc4_enc.c b/crypto/rc4/rc4_enc.c
index 638a75bb..09ef6a89 100644
--- a/crypto/rc4/rc4_enc.c
+++ b/crypto/rc4/rc4_enc.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc4.h>
-#include "rc4_locl.h"
+#include "rc4_local.h"
/*-
* RC4 as implemented from a posting from
diff --git a/crypto/rc4/rc4_locl.h b/crypto/rc4/rc4_local.h
similarity index 86%
rename from crypto/rc4/rc4_locl.h
rename to crypto/rc4/rc4_local.h
index 4380addb..e739be4b 100644
--- a/crypto/rc4/rc4_locl.h
+++ b/crypto/rc4/rc4_local.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_RC4_LOCL_H
-# define HEADER_RC4_LOCL_H
+#ifndef OSSL_CRYPTO_RC4_LOCAL_H
+# define OSSL_CRYPTO_RC4_LOCAL_H
# include <openssl/opensslconf.h>
# include "internal/cryptlib.h"
diff --git a/crypto/rc4/rc4_skey.c b/crypto/rc4/rc4_skey.c
index e9007331..100eb79c 100644
--- a/crypto/rc4/rc4_skey.c
+++ b/crypto/rc4/rc4_skey.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc4.h>
-#include "rc4_locl.h"
+#include "rc4_local.h"
#include <openssl/opensslv.h>
const char *RC4_options(void)
diff --git a/crypto/rc5/asm/rc5-586.pl b/crypto/rc5/asm/rc5-586.pl
index e58a98bc..af11be81 100644
--- a/crypto/rc5/asm/rc5-586.pl
+++ b/crypto/rc5/asm/rc5-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -32,7 +32,7 @@ $tmp4="edx";
&cbc("RC5_32_cbc_encrypt","RC5_32_encrypt","RC5_32_decrypt",0,4,5,3,-1,-1);
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub RC5_32_encrypt
{
diff --git a/crypto/rc5/rc5_ecb.c b/crypto/rc5/rc5_ecb.c
index c32f38e4..94ec6463 100644
--- a/crypto/rc5/rc5_ecb.c
+++ b/crypto/rc5/rc5_ecb.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc5.h>
-#include "rc5_locl.h"
+#include "rc5_local.h"
#include <openssl/opensslv.h>
void RC5_32_ecb_encrypt(const unsigned char *in, unsigned char *out,
diff --git a/crypto/rc5/rc5_enc.c b/crypto/rc5/rc5_enc.c
index 58631dee..75ddeb2e 100644
--- a/crypto/rc5/rc5_enc.c
+++ b/crypto/rc5/rc5_enc.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <openssl/rc5.h>
-#include "rc5_locl.h"
+#include "rc5_local.h"
void RC5_32_cbc_encrypt(const unsigned char *in, unsigned char *out,
long length, RC5_32_KEY *ks, unsigned char *iv,
diff --git a/crypto/rc5/rc5_locl.h b/crypto/rc5/rc5_local.h
similarity index 100%
rename from crypto/rc5/rc5_locl.h
rename to crypto/rc5/rc5_local.h
diff --git a/crypto/rc5/rc5_skey.c b/crypto/rc5/rc5_skey.c
index 943a7849..b2e6bbb1 100644
--- a/crypto/rc5/rc5_skey.c
+++ b/crypto/rc5/rc5_skey.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc5.h>
-#include "rc5_locl.h"
+#include "rc5_local.h"
void RC5_32_set_key(RC5_32_KEY *key, int len, const unsigned char *data,
int rounds)
diff --git a/crypto/rc5/rc5cfb64.c b/crypto/rc5/rc5cfb64.c
index 9a8aa6b2..cfce7ec1 100644
--- a/crypto/rc5/rc5cfb64.c
+++ b/crypto/rc5/rc5cfb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc5.h>
-#include "rc5_locl.h"
+#include "rc5_local.h"
/*
* The input and output encrypted as though 64bit cfb mode is being used.
diff --git a/crypto/rc5/rc5ofb64.c b/crypto/rc5/rc5ofb64.c
index 3a41d773..224eb968 100644
--- a/crypto/rc5/rc5ofb64.c
+++ b/crypto/rc5/rc5ofb64.c
@@ -8,7 +8,7 @@
*/
#include <openssl/rc5.h>
-#include "rc5_locl.h"
+#include "rc5_local.h"
/*
* The input and output encrypted as though 64bit ofb mode is being used.
diff --git a/crypto/ripemd/asm/rmd-586.pl b/crypto/ripemd/asm/rmd-586.pl
index 84aa7ced..e8d02812 100644
--- a/crypto/ripemd/asm/rmd-586.pl
+++ b/crypto/ripemd/asm/rmd-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -70,7 +70,7 @@ $KR3=0x7A6D76E9;
&ripemd160_block("ripemd160_block_asm_data_order");
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
sub Xv
{
diff --git a/crypto/ripemd/rmd_dgst.c b/crypto/ripemd/rmd_dgst.c
index a1670c7f..e9e440f1 100644
--- a/crypto/ripemd/rmd_dgst.c
+++ b/crypto/ripemd/rmd_dgst.c
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "rmd_locl.h"
+#include "rmd_local.h"
#include <openssl/opensslv.h>
#ifdef RMD160_ASM
@@ -39,7 +39,7 @@ void ripemd160_block_data_order(RIPEMD160_CTX *ctx, const void *p, size_t num)
register unsigned MD32_REG_T A, B, C, D, E;
unsigned MD32_REG_T a, b, c, d, e, l;
# ifndef MD32_XARRAY
- /* See comment in crypto/sha/sha_locl.h for details. */
+ /* See comment in crypto/sha/sha_local.h for details. */
unsigned MD32_REG_T XX0, XX1, XX2, XX3, XX4, XX5, XX6, XX7,
XX8, XX9, XX10, XX11, XX12, XX13, XX14, XX15;
# define X(i) XX##i
diff --git a/crypto/ripemd/rmd_locl.h b/crypto/ripemd/rmd_local.h
similarity index 96%
rename from crypto/ripemd/rmd_locl.h
rename to crypto/ripemd/rmd_local.h
index f1ae4323..f3604e34 100644
--- a/crypto/ripemd/rmd_locl.h
+++ b/crypto/ripemd/rmd_local.h
@@ -13,7 +13,7 @@
#include <openssl/ripemd.h>
/*
- * DO EXAMINE COMMENTS IN crypto/md5/md5_locl.h & crypto/md5/md5_dgst.c
+ * DO EXAMINE COMMENTS IN crypto/md5/md5_local.h & crypto/md5/md5_dgst.c
* FOR EXPLANATIONS ON FOLLOWING "CODE."
*/
#ifdef RMD160_ASM
@@ -42,7 +42,7 @@ void ripemd160_block_data_order(RIPEMD160_CTX *c, const void *p, size_t num);
} while (0)
#define HASH_BLOCK_DATA_ORDER ripemd160_block_data_order
-#include "internal/md32_common.h"
+#include "crypto/md32_common.h"
/*
* Transformed F2 and F4 are courtesy of Wei Dai
diff --git a/crypto/rsa/rsa_ameth.c b/crypto/rsa/rsa_ameth.c
index 9dcb85d8..fb045544 100644
--- a/crypto/rsa/rsa_ameth.c
+++ b/crypto/rsa/rsa_ameth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,9 +13,9 @@
#include <openssl/x509.h>
#include <openssl/bn.h>
#include <openssl/cms.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
-#include "rsa_locl.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
+#include "rsa_local.h"
#ifndef OPENSSL_NO_CMS
static int rsa_cms_sign(CMS_SignerInfo *si);
@@ -118,6 +118,15 @@ static int rsa_pub_decode(EVP_PKEY *pkey, X509_PUBKEY *pubkey)
static int rsa_pub_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
{
+ /*
+ * Don't check the public/private key, this is mostly for smart
+ * cards.
+ */
+ if (((RSA_flags(a->pkey.rsa) & RSA_METHOD_FLAG_NO_CHECK))
+ || (RSA_flags(b->pkey.rsa) & RSA_METHOD_FLAG_NO_CHECK)) {
+ return 1;
+ }
+
if (BN_cmp(b->pkey.rsa->n, a->pkey.rsa->n) != 0
|| BN_cmp(b->pkey.rsa->e, a->pkey.rsa->e) != 0)
return 0;
diff --git a/crypto/rsa/rsa_asn1.c b/crypto/rsa/rsa_asn1.c
index 9fe62c82..e8df8d76 100644
--- a/crypto/rsa/rsa_asn1.c
+++ b/crypto/rsa/rsa_asn1.c
@@ -12,7 +12,7 @@
#include <openssl/bn.h>
#include <openssl/x509.h>
#include <openssl/asn1t.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
/*
* Override the default free and new methods,
diff --git a/crypto/rsa/rsa_chk.c b/crypto/rsa/rsa_chk.c
index 1b69be30..b4ba7fce 100644
--- a/crypto/rsa/rsa_chk.c
+++ b/crypto/rsa/rsa_chk.c
@@ -9,7 +9,7 @@
#include <openssl/bn.h>
#include <openssl/err.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
int RSA_check_key(const RSA *key)
{
diff --git a/crypto/rsa/rsa_crpt.c b/crypto/rsa/rsa_crpt.c
index f4ef8b43..f1131ce9 100644
--- a/crypto/rsa/rsa_crpt.c
+++ b/crypto/rsa/rsa_crpt.c
@@ -10,9 +10,9 @@
#include <stdio.h>
#include <openssl/crypto.h>
#include "internal/cryptlib.h"
-#include "internal/bn_int.h"
+#include "crypto/bn.h"
#include <openssl/rand.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
int RSA_bits(const RSA *r)
{
diff --git a/crypto/rsa/rsa_gen.c b/crypto/rsa/rsa_gen.c
index 2b818088..29056a62 100644
--- a/crypto/rsa/rsa_gen.c
+++ b/crypto/rsa/rsa_gen.c
@@ -17,7 +17,7 @@
#include <time.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
static int rsa_builtin_keygen(RSA *rsa, int bits, int primes, BIGNUM *e_value,
BN_GENCB *cb);
diff --git a/crypto/rsa/rsa_lib.c b/crypto/rsa/rsa_lib.c
index e737a288..63fd1a6d 100644
--- a/crypto/rsa/rsa_lib.c
+++ b/crypto/rsa/rsa_lib.c
@@ -11,11 +11,11 @@
#include <openssl/crypto.h>
#include "internal/cryptlib.h"
#include "internal/refcount.h"
-#include "internal/bn_int.h"
+#include "crypto/bn.h"
#include <openssl/engine.h>
#include <openssl/evp.h>
-#include "internal/evp_int.h"
-#include "rsa_locl.h"
+#include "crypto/evp.h"
+#include "rsa_local.h"
RSA *RSA_new(void)
{
@@ -451,6 +451,11 @@ const BIGNUM *RSA_get0_iqmp(const RSA *r)
return r->iqmp;
}
+const RSA_PSS_PARAMS *RSA_get0_pss_params(const RSA *r)
+{
+ return r->pss;
+}
+
void RSA_clear_flags(RSA *r, int flags)
{
r->flags &= ~flags;
diff --git a/crypto/rsa/rsa_locl.h b/crypto/rsa/rsa_local.h
similarity index 100%
rename from crypto/rsa/rsa_locl.h
rename to crypto/rsa/rsa_local.h
diff --git a/crypto/rsa/rsa_meth.c b/crypto/rsa/rsa_meth.c
index def19f37..2845b79d 100644
--- a/crypto/rsa/rsa_meth.c
+++ b/crypto/rsa/rsa_meth.c
@@ -8,7 +8,7 @@
*/
#include <string.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
#include <openssl/err.h>
RSA_METHOD *RSA_meth_new(const char *name, int flags)
diff --git a/crypto/rsa/rsa_mp.c b/crypto/rsa/rsa_mp.c
index e7e81082..44dda8f8 100644
--- a/crypto/rsa/rsa_mp.c
+++ b/crypto/rsa/rsa_mp.c
@@ -10,7 +10,7 @@
#include <openssl/bn.h>
#include <openssl/err.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
void rsa_multip_info_free_ex(RSA_PRIME_INFO *pinfo)
{
diff --git a/crypto/rsa/rsa_oaep.c b/crypto/rsa/rsa_oaep.c
index 48b888bf..302360a9 100644
--- a/crypto/rsa/rsa_oaep.c
+++ b/crypto/rsa/rsa_oaep.c
@@ -20,7 +20,7 @@
* one-wayness. For the RSA function, this is an equivalent notion.
*/
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
#include <stdio.h>
#include "internal/cryptlib.h"
@@ -28,7 +28,7 @@
#include <openssl/evp.h>
#include <openssl/rand.h>
#include <openssl/sha.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
int RSA_padding_add_PKCS1_OAEP(unsigned char *to, int tlen,
const unsigned char *from, int flen,
diff --git a/crypto/rsa/rsa_ossl.c b/crypto/rsa/rsa_ossl.c
index c8c3b788..b52a66f6 100644
--- a/crypto/rsa/rsa_ossl.c
+++ b/crypto/rsa/rsa_ossl.c
@@ -8,9 +8,9 @@
*/
#include "internal/cryptlib.h"
-#include "internal/bn_int.h"
-#include "rsa_locl.h"
-#include "internal/constant_time_locl.h"
+#include "crypto/bn.h"
+#include "rsa_local.h"
+#include "internal/constant_time.h"
static int rsa_ossl_public_encrypt(int flen, const unsigned char *from,
unsigned char *to, RSA *rsa, int padding);
diff --git a/crypto/rsa/rsa_pk1.c b/crypto/rsa/rsa_pk1.c
index 5260d12f..a3d0b7ce 100644
--- a/crypto/rsa/rsa_pk1.c
+++ b/crypto/rsa/rsa_pk1.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
#include <stdio.h>
#include "internal/cryptlib.h"
@@ -57,7 +57,7 @@ int RSA_padding_check_PKCS1_type_1(unsigned char *to, int tlen,
* D - data.
*/
- if (num < 11)
+ if (num < RSA_PKCS1_PADDING_SIZE)
return -1;
/* Accept inputs with and without the leading 0-byte. */
@@ -120,7 +120,7 @@ int RSA_padding_add_PKCS1_type_2(unsigned char *to, int tlen,
int i, j;
unsigned char *p;
- if (flen > (tlen - 11)) {
+ if (flen > (tlen - RSA_PKCS1_PADDING_SIZE)) {
RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_TYPE_2,
RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
return 0;
@@ -169,7 +169,7 @@ int RSA_padding_check_PKCS1_type_2(unsigned char *to, int tlen,
* section 7.2.2.
*/
- if (flen > num || num < 11) {
+ if (flen > num || num < RSA_PKCS1_PADDING_SIZE) {
RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_TYPE_2,
RSA_R_PKCS_DECODING_ERROR);
return -1;
@@ -226,8 +226,8 @@ int RSA_padding_check_PKCS1_type_2(unsigned char *to, int tlen,
good &= constant_time_ge(tlen, mlen);
/*
- * Move the result in-place by |num|-11-|mlen| bytes to the left.
- * Then if |good| move |mlen| bytes from |em|+11 to |to|.
+ * Move the result in-place by |num|-RSA_PKCS1_PADDING_SIZE-|mlen| bytes to the left.
+ * Then if |good| move |mlen| bytes from |em|+RSA_PKCS1_PADDING_SIZE to |to|.
* Otherwise leave |to| unchanged.
* Copy the memory back in a way that does not reveal the size of
* the data being copied via a timing side channel. This requires copying
@@ -235,16 +235,16 @@ int RSA_padding_check_PKCS1_type_2(unsigned char *to, int tlen,
* length. Clear bits do a non-copy with identical access pattern.
* The loop below has overall complexity of O(N*log(N)).
*/
- tlen = constant_time_select_int(constant_time_lt(num - 11, tlen),
- num - 11, tlen);
- for (msg_index = 1; msg_index < num - 11; msg_index <<= 1) {
- mask = ~constant_time_eq(msg_index & (num - 11 - mlen), 0);
- for (i = 11; i < num - msg_index; i++)
+ tlen = constant_time_select_int(constant_time_lt(num - RSA_PKCS1_PADDING_SIZE, tlen),
+ num - RSA_PKCS1_PADDING_SIZE, tlen);
+ for (msg_index = 1; msg_index < num - RSA_PKCS1_PADDING_SIZE; msg_index <<= 1) {
+ mask = ~constant_time_eq(msg_index & (num - RSA_PKCS1_PADDING_SIZE - mlen), 0);
+ for (i = RSA_PKCS1_PADDING_SIZE; i < num - msg_index; i++)
em[i] = constant_time_select_8(mask, em[i + msg_index], em[i]);
}
for (i = 0; i < tlen; i++) {
mask = good & constant_time_lt(i, mlen);
- to[i] = constant_time_select_8(mask, em[i + 11], to[i]);
+ to[i] = constant_time_select_8(mask, em[i + RSA_PKCS1_PADDING_SIZE], to[i]);
}
OPENSSL_clear_free(em, num);
diff --git a/crypto/rsa/rsa_pmeth.c b/crypto/rsa/rsa_pmeth.c
index 082ab8fd..0eb21c8a 100644
--- a/crypto/rsa/rsa_pmeth.c
+++ b/crypto/rsa/rsa_pmeth.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
#include <stdio.h>
#include "internal/cryptlib.h"
@@ -18,8 +18,8 @@
#include <openssl/evp.h>
#include <openssl/x509v3.h>
#include <openssl/cms.h>
-#include "internal/evp_int.h"
-#include "rsa_locl.h"
+#include "crypto/evp.h"
+#include "rsa_local.h"
/* RSA pkey context structure */
diff --git a/crypto/rsa/rsa_pss.c b/crypto/rsa/rsa_pss.c
index f7c575d0..40ce1c4d 100644
--- a/crypto/rsa/rsa_pss.c
+++ b/crypto/rsa/rsa_pss.c
@@ -14,7 +14,7 @@
#include <openssl/evp.h>
#include <openssl/rand.h>
#include <openssl/sha.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
static const unsigned char zeroes[] = { 0, 0, 0, 0, 0, 0, 0, 0 };
diff --git a/crypto/rsa/rsa_sign.c b/crypto/rsa/rsa_sign.c
index 952d24fb..7fc69361 100644
--- a/crypto/rsa/rsa_sign.c
+++ b/crypto/rsa/rsa_sign.c
@@ -13,8 +13,8 @@
#include <openssl/rsa.h>
#include <openssl/objects.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
-#include "rsa_locl.h"
+#include "crypto/x509.h"
+#include "rsa_local.h"
/* Size of an SSL signature: MD5+SHA1 */
#define SSL_SIG_LENGTH 36
diff --git a/crypto/rsa/rsa_ssl.c b/crypto/rsa/rsa_ssl.c
index 3859128a..ecdb3cee 100644
--- a/crypto/rsa/rsa_ssl.c
+++ b/crypto/rsa/rsa_ssl.c
@@ -12,7 +12,7 @@
#include <openssl/bn.h>
#include <openssl/rsa.h>
#include <openssl/rand.h>
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
int RSA_padding_add_SSLv23(unsigned char *to, int tlen,
const unsigned char *from, int flen)
@@ -20,7 +20,7 @@ int RSA_padding_add_SSLv23(unsigned char *to, int tlen,
int i, j;
unsigned char *p;
- if (flen > (tlen - 11)) {
+ if (flen > (tlen - RSA_PKCS1_PADDING_SIZE)) {
RSAerr(RSA_F_RSA_PADDING_ADD_SSLV23,
RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
return 0;
@@ -55,7 +55,7 @@ int RSA_padding_add_SSLv23(unsigned char *to, int tlen,
/*
* Copy of RSA_padding_check_PKCS1_type_2 with a twist that rejects padding
- * if nul delimiter is not preceded by 8 consecutive 0x03 bytes. It also
+ * if nul delimiter is preceded by 8 consecutive 0x03 bytes. It also
* preserves error code reporting for backward compatibility.
*/
int RSA_padding_check_SSLv23(unsigned char *to, int tlen,
@@ -70,7 +70,7 @@ int RSA_padding_check_SSLv23(unsigned char *to, int tlen,
if (tlen <= 0 || flen <= 0)
return -1;
- if (flen > num || num < 11) {
+ if (flen > num || num < RSA_PKCS1_PADDING_SIZE) {
RSAerr(RSA_F_RSA_PADDING_CHECK_SSLV23, RSA_R_DATA_TOO_SMALL);
return -1;
}
@@ -122,7 +122,13 @@ int RSA_padding_check_SSLv23(unsigned char *to, int tlen,
RSA_R_NULL_BEFORE_BLOCK_MISSING);
mask = ~good;
- good &= constant_time_ge(threes_in_row, 8);
+ /*
+ * Reject if nul delimiter is preceded by 8 consecutive 0x03 bytes. Note
+ * that RFC5246 incorrectly states this the other way around, i.e. reject
+ * if it is not preceded by 8 consecutive 0x03 bytes. However this is
+ * corrected in subsequent errata for that RFC.
+ */
+ good &= constant_time_lt(threes_in_row, 8);
err = constant_time_select_int(mask | good, err,
RSA_R_SSLV3_ROLLBACK_ATTACK);
mask = ~good;
@@ -141,8 +147,8 @@ int RSA_padding_check_SSLv23(unsigned char *to, int tlen,
err = constant_time_select_int(mask | good, err, RSA_R_DATA_TOO_LARGE);
/*
- * Move the result in-place by |num|-11-|mlen| bytes to the left.
- * Then if |good| move |mlen| bytes from |em|+11 to |to|.
+ * Move the result in-place by |num|-RSA_PKCS1_PADDING_SIZE-|mlen| bytes to the left.
+ * Then if |good| move |mlen| bytes from |em|+RSA_PKCS1_PADDING_SIZE to |to|.
* Otherwise leave |to| unchanged.
* Copy the memory back in a way that does not reveal the size of
* the data being copied via a timing side channel. This requires copying
@@ -150,16 +156,16 @@ int RSA_padding_check_SSLv23(unsigned char *to, int tlen,
* length. Clear bits do a non-copy with identical access pattern.
* The loop below has overall complexity of O(N*log(N)).
*/
- tlen = constant_time_select_int(constant_time_lt(num - 11, tlen),
- num - 11, tlen);
- for (msg_index = 1; msg_index < num - 11; msg_index <<= 1) {
- mask = ~constant_time_eq(msg_index & (num - 11 - mlen), 0);
- for (i = 11; i < num - msg_index; i++)
+ tlen = constant_time_select_int(constant_time_lt(num - RSA_PKCS1_PADDING_SIZE, tlen),
+ num - RSA_PKCS1_PADDING_SIZE, tlen);
+ for (msg_index = 1; msg_index < num - RSA_PKCS1_PADDING_SIZE; msg_index <<= 1) {
+ mask = ~constant_time_eq(msg_index & (num - RSA_PKCS1_PADDING_SIZE - mlen), 0);
+ for (i = RSA_PKCS1_PADDING_SIZE; i < num - msg_index; i++)
em[i] = constant_time_select_8(mask, em[i + msg_index], em[i]);
}
for (i = 0; i < tlen; i++) {
mask = good & constant_time_lt(i, mlen);
- to[i] = constant_time_select_8(mask, em[i + 11], to[i]);
+ to[i] = constant_time_select_8(mask, em[i + RSA_PKCS1_PADDING_SIZE], to[i]);
}
OPENSSL_clear_free(em, num);
diff --git a/crypto/rsa/rsa_x931g.c b/crypto/rsa/rsa_x931g.c
index e7ac476b..322cd14a 100644
--- a/crypto/rsa/rsa_x931g.c
+++ b/crypto/rsa/rsa_x931g.c
@@ -12,7 +12,7 @@
#include <time.h>
#include <openssl/err.h>
#include <openssl/bn.h>
-#include "rsa_locl.h"
+#include "rsa_local.h"
/* X9.31 RSA key derivation and generation */
diff --git a/crypto/s390x_arch.h b/crypto/s390x_arch.h
index 4a775a92..4d2cc02e 100644
--- a/crypto/s390x_arch.h
+++ b/crypto/s390x_arch.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef S390X_ARCH_H
-# define S390X_ARCH_H
+#ifndef OSSL_CRYPTO_S390X_ARCH_H
+# define OSSL_CRYPTO_S390X_ARCH_H
# ifndef __ASSEMBLER__
diff --git a/crypto/s390xcpuid.pl b/crypto/s390xcpuid.pl
index ec700a47..5cbb9625 100755
--- a/crypto/s390xcpuid.pl
+++ b/crypto/s390xcpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -418,4 +418,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT; # force flush
+close STDOUT or die "error closing STDOUT: $!"; # force flush
diff --git a/crypto/seed/seed.c b/crypto/seed/seed.c
index d62da91e..c3a1f183 100644
--- a/crypto/seed/seed.c
+++ b/crypto/seed/seed.c
@@ -42,7 +42,7 @@
# endif
# include <openssl/seed.h>
-# include "seed_locl.h"
+# include "seed_local.h"
# ifdef SS /* can get defined on Solaris by inclusion of
* <stdlib.h> */
diff --git a/crypto/seed/seed_locl.h b/crypto/seed/seed_local.h
similarity index 97%
rename from crypto/seed/seed_locl.h
rename to crypto/seed/seed_local.h
index ac2950d9..e3681f8b 100644
--- a/crypto/seed/seed_locl.h
+++ b/crypto/seed/seed_local.h
@@ -32,8 +32,8 @@
* SUCH DAMAGE.
*
*/
-#ifndef HEADER_SEED_LOCL_H
-# define HEADER_SEED_LOCL_H
+#ifndef OSSL_CRYPTO_SEED_LOCAL_H
+# define OSSL_CRYPTO_SEED_LOCAL_H
# include "openssl/e_os2.h"
# include <openssl/seed.h>
@@ -109,4 +109,4 @@ typedef unsigned int seed_word;
(X1) ^= (T0); \
(X2) ^= (T1)
-#endif /* HEADER_SEED_LOCL_H */
+#endif /* OSSL_CRYPTO_SEED_LOCAL_H */
diff --git a/crypto/sha/asm/keccak1600-armv4.pl b/crypto/sha/asm/keccak1600-armv4.pl
index cb8ccc90..39fe559e 100755
--- a/crypto/sha/asm/keccak1600-armv4.pl
+++ b/crypto/sha/asm/keccak1600-armv4.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1603,4 +1603,4 @@ foreach (split($/,$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/sha/asm/keccak1600-armv8.pl b/crypto/sha/asm/keccak1600-armv8.pl
index 3173c77f..ce5df4d6 100755
--- a/crypto/sha/asm/keccak1600-armv8.pl
+++ b/crypto/sha/asm/keccak1600-armv8.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -877,4 +877,4 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-avx2.pl b/crypto/sha/asm/keccak1600-avx2.pl
index d9fc1c59..6104caf4 100755
--- a/crypto/sha/asm/keccak1600-avx2.pl
+++ b/crypto/sha/asm/keccak1600-avx2.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -479,4 +479,4 @@ ___
$output=pop;
open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-avx512.pl b/crypto/sha/asm/keccak1600-avx512.pl
index 9074ff02..6bfff788 100755
--- a/crypto/sha/asm/keccak1600-avx512.pl
+++ b/crypto/sha/asm/keccak1600-avx512.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -548,4 +548,4 @@ ___
$output=pop;
open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-avx512vl.pl b/crypto/sha/asm/keccak1600-avx512vl.pl
index a21bb861..446706fc 100755
--- a/crypto/sha/asm/keccak1600-avx512vl.pl
+++ b/crypto/sha/asm/keccak1600-avx512vl.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -389,4 +389,4 @@ ___
$output=pop;
open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-c64x.pl b/crypto/sha/asm/keccak1600-c64x.pl
index b00af9af..4d1bbee2 100755
--- a/crypto/sha/asm/keccak1600-c64x.pl
+++ b/crypto/sha/asm/keccak1600-c64x.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -882,4 +882,4 @@ ___
$output=pop;
open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-mmx.pl b/crypto/sha/asm/keccak1600-mmx.pl
index c7685add..353f1e14 100755
--- a/crypto/sha/asm/keccak1600-mmx.pl
+++ b/crypto/sha/asm/keccak1600-mmx.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -30,7 +30,7 @@
# produce worse code. On the other hand one can wonder why not 128-bit
# SSE2? Well, SSE2 won't provide double improvement, rather far from
# that, if any at all on some processors, because it will take extra
-# permutations and inter-bank data trasfers. Besides, contemporary
+# permutations and inter-bank data transfers. Besides, contemporary
# CPUs are better off executing 64-bit code, and it makes lesser sense
# to invest into fancy 32-bit code. And the decision doesn't seem to
# be inadequate, if one compares below results to "64-bit platforms in
@@ -437,4 +437,4 @@ sub Rho() { ######### regular Rho step
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-ppc64.pl b/crypto/sha/asm/keccak1600-ppc64.pl
index 30e70c5d..11b6329f 100755
--- a/crypto/sha/asm/keccak1600-ppc64.pl
+++ b/crypto/sha/asm/keccak1600-ppc64.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -755,4 +755,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-s390x.pl b/crypto/sha/asm/keccak1600-s390x.pl
index 1184cf23..a7d819a5 100755
--- a/crypto/sha/asm/keccak1600-s390x.pl
+++ b/crypto/sha/asm/keccak1600-s390x.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -557,4 +557,4 @@ ___
$code =~ s/(srlg\s+)(%r[0-9]+),/$1$2,$2,/gm;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600-x86_64.pl b/crypto/sha/asm/keccak1600-x86_64.pl
index 42de5bf1..b1a7e65e 100755
--- a/crypto/sha/asm/keccak1600-x86_64.pl
+++ b/crypto/sha/asm/keccak1600-x86_64.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -44,7 +44,7 @@
# Ryzen 8.8
#
# (*) Corresponds to SHA3-256. Improvement over compiler-generate
-# varies a lot, most commont coefficient is 15% in comparison to
+# varies a lot, most common coefficient is 15% in comparison to
# gcc-5.x, 50% for gcc-4.x, 90% for gcc-3.x.
# (**) Sandy Bridge has broken rotate instruction. Performance can be
# improved by 14% by replacing rotates with double-precision
@@ -84,6 +84,7 @@ $code.=<<___;
.type __KeccakF1600,\@abi-omnipotent
.align 32
__KeccakF1600:
+.cfi_startproc
mov $A[4][0](%rdi),@C[0]
mov $A[4][1](%rdi),@C[1]
mov $A[4][2](%rdi),@C[2]
@@ -342,6 +343,7 @@ $code.=<<___;
lea -192($iotas),$iotas # rewind iotas
ret
+.cfi_endproc
.size __KeccakF1600,.-__KeccakF1600
.type KeccakF1600,\@abi-omnipotent
@@ -604,4 +606,4 @@ foreach (split("\n",$code)) {
print $_, "\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/keccak1600p8-ppc.pl b/crypto/sha/asm/keccak1600p8-ppc.pl
index de2bcd66..c04c7dea 100755
--- a/crypto/sha/asm/keccak1600p8-ppc.pl
+++ b/crypto/sha/asm/keccak1600p8-ppc.pl
@@ -1,5 +1,5 @@
#!/usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -847,4 +847,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-586.pl b/crypto/sha/asm/sha1-586.pl
index 9d4ff7f3..b72869b8 100644
--- a/crypto/sha/asm/sha1-586.pl
+++ b/crypto/sha/asm/sha1-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1998-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1998-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -144,7 +144,7 @@ $ymm=1 if ($xmm && !$ymm && $ARGV[0] eq "win32" &&
`ml 2>&1` =~ /Version ([0-9]+)\./ &&
$1>=10); # first version supporting AVX
-$ymm=1 if ($xmm && !$ymm && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|based on LLVM) ([3-9]\.[0-9]+)/ &&
+$ymm=1 if ($xmm && !$ymm && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|based on LLVM) ([0-9]+\.[0-9]+)/ &&
$2>=3.0); # first version supporting AVX
$shaext=$xmm; ### set to zero if compiling for 1.0.1
@@ -1488,4 +1488,4 @@ sub Xtail_avx()
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-alpha.pl b/crypto/sha/asm/sha1-alpha.pl
index c1a0b0c6..540ef3b4 100644
--- a/crypto/sha/asm/sha1-alpha.pl
+++ b/crypto/sha/asm/sha1-alpha.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -326,4 +326,4 @@ $code.=<<___;
___
$output=pop and open STDOUT,">$output";
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-armv4-large.pl b/crypto/sha/asm/sha1-armv4-large.pl
index 7ff5bfbb..52d426bb 100644
--- a/crypto/sha/asm/sha1-armv4-large.pl
+++ b/crypto/sha/asm/sha1-armv4-large.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -739,4 +739,4 @@ foreach (split($/,$code)) {
print $_,$/;
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/sha/asm/sha1-armv8.pl b/crypto/sha/asm/sha1-armv8.pl
index 3ba871fe..557cabc0 100644
--- a/crypto/sha/asm/sha1-armv8.pl
+++ b/crypto/sha/asm/sha1-armv8.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -176,6 +176,7 @@ $code.=<<___;
.text
.extern OPENSSL_armcap_P
+.hidden OPENSSL_armcap_P
.globl sha1_block_data_order
.type sha1_block_data_order,%function
.align 6
@@ -329,7 +330,6 @@ $code.=<<___;
#endif
.asciz "SHA1 block transform for ARMv8, CRYPTOGAMS by <appro\@openssl.org>"
.align 2
-.comm OPENSSL_armcap_P,4,4
___
}}}
@@ -361,4 +361,4 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-c64xplus.pl b/crypto/sha/asm/sha1-c64xplus.pl
index 4db2bcb0..ceec503a 100644
--- a/crypto/sha/asm/sha1-c64xplus.pl
+++ b/crypto/sha/asm/sha1-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -334,4 +334,4 @@ $code.=<<___;
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-mb-x86_64.pl b/crypto/sha/asm/sha1-mb-x86_64.pl
index 443b6498..47c58871 100644
--- a/crypto/sha/asm/sha1-mb-x86_64.pl
+++ b/crypto/sha/asm/sha1-mb-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -66,7 +66,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -1625,4 +1625,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-mips.pl b/crypto/sha/asm/sha1-mips.pl
index 08f84bc3..c293cd3b 100644
--- a/crypto/sha/asm/sha1-mips.pl
+++ b/crypto/sha/asm/sha1-mips.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -458,4 +458,4 @@ $code.=<<___;
.asciiz "SHA1 for MIPS, CRYPTOGAMS by <appro\@openssl.org>"
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-parisc.pl b/crypto/sha/asm/sha1-parisc.pl
index b001be16..70ef7956 100644
--- a/crypto/sha/asm/sha1-parisc.pl
+++ b/crypto/sha/asm/sha1-parisc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -276,4 +276,4 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-ppc.pl b/crypto/sha/asm/sha1-ppc.pl
index 0cda0a3e..650a6291 100755
--- a/crypto/sha/asm/sha1-ppc.pl
+++ b/crypto/sha/asm/sha1-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -348,4 +348,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-s390x.pl b/crypto/sha/asm/sha1-s390x.pl
index 5729c308..653a6cb5 100644
--- a/crypto/sha/asm/sha1-s390x.pl
+++ b/crypto/sha/asm/sha1-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -246,4 +246,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-sparcv9.pl b/crypto/sha/asm/sha1-sparcv9.pl
index 3e612e3d..8c23d85a 100644
--- a/crypto/sha/asm/sha1-sparcv9.pl
+++ b/crypto/sha/asm/sha1-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -431,4 +431,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-sparcv9a.pl b/crypto/sha/asm/sha1-sparcv9a.pl
index 50d3e136..4e90da4b 100644
--- a/crypto/sha/asm/sha1-sparcv9a.pl
+++ b/crypto/sha/asm/sha1-sparcv9a.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -605,4 +605,4 @@ $code =~ s/\b(alignaddr)\s+(%[goli][0-7]),(%[goli][0-7]),(%[goli][0-7])/
&unalignaddr($1,$2,$3,$4)
/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha1-thumb.pl b/crypto/sha/asm/sha1-thumb.pl
index ac74a25d..b53e0bee 100644
--- a/crypto/sha/asm/sha1-thumb.pl
+++ b/crypto/sha/asm/sha1-thumb.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -263,4 +263,4 @@ $code.=<<___;
___
print $code;
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/sha/asm/sha1-x86_64.pl b/crypto/sha/asm/sha1-x86_64.pl
index 60819f61..89146d13 100755
--- a/crypto/sha/asm/sha1-x86_64.pl
+++ b/crypto/sha/asm/sha1-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -119,7 +119,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([2-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -468,8 +468,8 @@ $code.=<<___ if ($win64);
.Lepilogue_shaext:
___
$code.=<<___;
-.cfi_endproc
ret
+.cfi_endproc
.size sha1_block_data_order_shaext,.-sha1_block_data_order_shaext
___
}}}
@@ -2129,4 +2129,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha256-586.pl b/crypto/sha/asm/sha256-586.pl
index dccc771a..7523dbc1 100644
--- a/crypto/sha/asm/sha256-586.pl
+++ b/crypto/sha/asm/sha256-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -96,7 +96,7 @@ if ($xmm && !$avx && $ARGV[0] eq "win32" &&
$avx = ($1>=10) + ($1>=11);
}
-if ($xmm && !$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|based on LLVM) ([3-9]\.[0-9]+)/) {
+if ($xmm && !$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -1293,4 +1293,4 @@ sub bodyx_00_15 () { # +10%
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha256-armv4.pl b/crypto/sha/asm/sha256-armv4.pl
index edcfc312..d120febb 100644
--- a/crypto/sha/asm/sha256-armv4.pl
+++ b/crypto/sha/asm/sha256-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -729,4 +729,4 @@ foreach (split($/,$code)) {
print $_,"\n";
}
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/sha/asm/sha256-c64xplus.pl b/crypto/sha/asm/sha256-c64xplus.pl
index 3ab7d9b6..b2d00e4f 100644
--- a/crypto/sha/asm/sha256-c64xplus.pl
+++ b/crypto/sha/asm/sha256-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -317,4 +317,4 @@ K256:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha256-mb-x86_64.pl b/crypto/sha/asm/sha256-mb-x86_64.pl
index 73978dbd..c8cc6efa 100644
--- a/crypto/sha/asm/sha256-mb-x86_64.pl
+++ b/crypto/sha/asm/sha256-mb-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -67,7 +67,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -1611,4 +1611,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-586.pl b/crypto/sha/asm/sha512-586.pl
index 867ce30b..66b6e96f 100644
--- a/crypto/sha/asm/sha512-586.pl
+++ b/crypto/sha/asm/sha512-586.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -922,4 +922,4 @@ sub BODY_00_15_ssse3 { # "phase-less" copy of BODY_00_15_sse2
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-armv4.pl b/crypto/sha/asm/sha512-armv4.pl
index 0b4c5674..e9c5e0ce 100644
--- a/crypto/sha/asm/sha512-armv4.pl
+++ b/crypto/sha/asm/sha512-armv4.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -665,4 +665,4 @@ while(<SELF>) {
close SELF;
print $code;
-close STDOUT; # enforce flush
+close STDOUT or die "error closing STDOUT: $!"; # enforce flush
diff --git a/crypto/sha/asm/sha512-armv8.pl b/crypto/sha/asm/sha512-armv8.pl
index 01ffe9f9..3188c905 100644
--- a/crypto/sha/asm/sha512-armv8.pl
+++ b/crypto/sha/asm/sha512-armv8.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -193,6 +193,7 @@ $code.=<<___;
.text
.extern OPENSSL_armcap_P
+.hidden OPENSSL_armcap_P
.globl $func
.type $func,%function
.align 6
@@ -840,12 +841,6 @@ $code.=<<___;
___
}
-$code.=<<___;
-#ifndef __KERNEL__
-.comm OPENSSL_armcap_P,4,4
-#endif
-___
-
{ my %opcode = (
"sha256h" => 0x5e004000, "sha256h2" => 0x5e005000,
"sha256su0" => 0x5e282800, "sha256su1" => 0x5e006000 );
@@ -902,4 +897,4 @@ foreach(split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-c64xplus.pl b/crypto/sha/asm/sha512-c64xplus.pl
index 9ebfc92e..4263fb13 100644
--- a/crypto/sha/asm/sha512-c64xplus.pl
+++ b/crypto/sha/asm/sha512-c64xplus.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2012-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -435,4 +435,4 @@ K512:
___
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-mips.pl b/crypto/sha/asm/sha512-mips.pl
index dab684dd..15acd530 100644
--- a/crypto/sha/asm/sha512-mips.pl
+++ b/crypto/sha/asm/sha512-mips.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -518,4 +518,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-parisc.pl b/crypto/sha/asm/sha512-parisc.pl
index 59eb320a..132f1db8 100755
--- a/crypto/sha/asm/sha512-parisc.pl
+++ b/crypto/sha/asm/sha512-parisc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2009-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -804,4 +804,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-ppc.pl b/crypto/sha/asm/sha512-ppc.pl
index 71699f66..265ecfa5 100755
--- a/crypto/sha/asm/sha512-ppc.pl
+++ b/crypto/sha/asm/sha512-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -796,4 +796,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-s390x.pl b/crypto/sha/asm/sha512-s390x.pl
index 4c0f4e79..9752fed4 100644
--- a/crypto/sha/asm/sha512-s390x.pl
+++ b/crypto/sha/asm/sha512-s390x.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -321,4 +321,4 @@ $code =~ s/\`([^\`]*)\`/eval $1/gem;
$code =~ s/(srlg\s+)(%r[0-9]+),/$1$2,$2,/gm;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-sparcv9.pl b/crypto/sha/asm/sha512-sparcv9.pl
index c2159096..54429d34 100644
--- a/crypto/sha/asm/sha512-sparcv9.pl
+++ b/crypto/sha/asm/sha512-sparcv9.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2007-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -854,4 +854,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512-x86_64.pl b/crypto/sha/asm/sha512-x86_64.pl
index f2ebdfdb..ad37850e 100755
--- a/crypto/sha/asm/sha512-x86_64.pl
+++ b/crypto/sha/asm/sha512-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -135,7 +135,7 @@ if (!$avx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
$avx = ($1>=10) + ($1>=11);
}
-if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9]\.[0-9]+)/) {
+if (!$avx && `$ENV{CC} -v 2>&1` =~ /((?:clang|LLVM) version|.*based on LLVM) ([0-9]+\.[0-9]+)/) {
$avx = ($2>=3.0) + ($2>3.0);
}
@@ -569,6 +569,7 @@ $code.=<<___;
.align 64
sha256_block_data_order_shaext:
_shaext_shortcut:
+.cfi_startproc
___
$code.=<<___ if ($win64);
lea `-8-5*16`(%rsp),%rsp
@@ -712,6 +713,7 @@ $code.=<<___ if ($win64);
___
$code.=<<___;
ret
+.cfi_endproc
.size sha256_block_data_order_shaext,.-sha256_block_data_order_shaext
___
}}}
@@ -1992,7 +1994,23 @@ $code.=<<___;
vmovdqa $t0,0x00(%rsp)
xor $a1,$a1
vmovdqa $t1,0x20(%rsp)
+___
+$code.=<<___ if (!$win64);
+# temporarily use %rdi as frame pointer
+ mov $_rsp,%rdi
+.cfi_def_cfa %rdi,8
+___
+$code.=<<___;
lea -$PUSH8(%rsp),%rsp
+___
+$code.=<<___ if (!$win64);
+# the frame info is at $_rsp, but the stack is moving...
+# so a second frame pointer is saved at -8(%rsp)
+# that is in the red zone
+ mov %rdi,-8(%rsp)
+.cfi_cfa_expression %rsp-8,deref,+8
+___
+$code.=<<___;
mov $B,$a3
vmovdqa $t2,0x00(%rsp)
xor $C,$a3 # magic
@@ -2012,7 +2030,18 @@ my @X = @_;
my @insns = (&$body,&$body,&$body,&$body); # 96 instructions
my $base = "+2*$PUSH8(%rsp)";
- &lea ("%rsp","-$PUSH8(%rsp)") if (($j%2)==0);
+ if (($j%2)==0) {
+ &lea ("%rsp","-$PUSH8(%rsp)");
+$code.=<<___ if (!$win64);
+.cfi_cfa_expression %rsp+`$PUSH8-8`,deref,+8
+# copy secondary frame pointer to new location again at -8(%rsp)
+ pushq $PUSH8-8(%rsp)
+.cfi_cfa_expression %rsp,deref,+8
+ lea 8(%rsp),%rsp
+.cfi_cfa_expression %rsp-8,deref,+8
+___
+ }
+
foreach (Xupdate_256_AVX()) { # 29 instructions
eval;
eval(shift(@insns));
@@ -2083,7 +2112,23 @@ $code.=<<___;
vmovdqa $t2,0x40(%rsp)
vpaddq 0x40($Tbl),@X[6],$t2
vmovdqa $t3,0x60(%rsp)
+___
+$code.=<<___ if (!$win64);
+# temporarily use %rdi as frame pointer
+ mov $_rsp,%rdi
+.cfi_def_cfa %rdi,8
+___
+$code.=<<___;
lea -$PUSH8(%rsp),%rsp
+___
+$code.=<<___ if (!$win64);
+# the frame info is at $_rsp, but the stack is moving...
+# so a second frame pointer is saved at -8(%rsp)
+# that is in the red zone
+ mov %rdi,-8(%rsp)
+.cfi_cfa_expression %rsp-8,deref,+8
+___
+$code.=<<___;
vpaddq 0x60($Tbl),@X[7],$t3
vmovdqa $t0,0x00(%rsp)
xor $a1,$a1
@@ -2107,7 +2152,18 @@ my @X = @_;
my @insns = (&$body,&$body); # 48 instructions
my $base = "+2*$PUSH8(%rsp)";
- &lea ("%rsp","-$PUSH8(%rsp)") if (($j%4)==0);
+ if (($j%4)==0) {
+ &lea ("%rsp","-$PUSH8(%rsp)");
+$code.=<<___ if (!$win64);
+.cfi_cfa_expression %rsp+`$PUSH8-8`,deref,+8
+# copy secondary frame pointer to new location again at -8(%rsp)
+ pushq $PUSH8-8(%rsp)
+.cfi_cfa_expression %rsp,deref,+8
+ lea 8(%rsp),%rsp
+.cfi_cfa_expression %rsp-8,deref,+8
+___
+ }
+
foreach (Xupdate_512_AVX()) { # 23 instructions
eval;
if ($_ !~ /\;$/) {
@@ -2182,6 +2238,8 @@ $code.=<<___;
add $a1,$A
#mov `2*$SZ*$rounds+8`(%rsp),$inp # $_inp
lea `2*$SZ*($rounds-8)`(%rsp),%rsp
+# restore frame pointer to original location at $_rsp
+.cfi_cfa_expression $_rsp,deref,+8
add $SZ*0($ctx),$A
add $SZ*1($ctx),$B
@@ -2207,22 +2265,24 @@ $code.=<<___;
jbe .Loop_avx2
lea (%rsp),$Tbl
+# temporarily use $Tbl as index to $_rsp
+# this avoids the need to save a secondary frame pointer at -8(%rsp)
+.cfi_cfa_expression $Tbl+`16*$SZ+3*8`,deref,+8
.Ldone_avx2:
- lea ($Tbl),%rsp
- mov $_rsp,%rsi
+ mov `16*$SZ+3*8`($Tbl),%rsi
.cfi_def_cfa %rsi,8
vzeroupper
___
$code.=<<___ if ($win64);
- movaps 16*$SZ+32(%rsp),%xmm6
- movaps 16*$SZ+48(%rsp),%xmm7
- movaps 16*$SZ+64(%rsp),%xmm8
- movaps 16*$SZ+80(%rsp),%xmm9
+ movaps 16*$SZ+32($Tbl),%xmm6
+ movaps 16*$SZ+48($Tbl),%xmm7
+ movaps 16*$SZ+64($Tbl),%xmm8
+ movaps 16*$SZ+80($Tbl),%xmm9
___
$code.=<<___ if ($win64 && $SZ>4);
- movaps 16*$SZ+96(%rsp),%xmm10
- movaps 16*$SZ+112(%rsp),%xmm11
+ movaps 16*$SZ+96($Tbl),%xmm10
+ movaps 16*$SZ+112($Tbl),%xmm11
___
$code.=<<___;
mov -48(%rsi),%r15
@@ -2495,4 +2555,4 @@ foreach (split("\n",$code)) {
print $_,"\n";
}
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/asm/sha512p8-ppc.pl b/crypto/sha/asm/sha512p8-ppc.pl
index 0d4fdd29..3f202964 100755
--- a/crypto/sha/asm/sha512p8-ppc.pl
+++ b/crypto/sha/asm/sha512p8-ppc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -417,4 +417,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/sha/sha1dgst.c b/crypto/sha/sha1dgst.c
index 819370e6..7965829e 100644
--- a/crypto/sha/sha1dgst.c
+++ b/crypto/sha/sha1dgst.c
@@ -14,4 +14,4 @@
/* The implementation is in ../md32_common.h */
-# include "sha_locl.h"
+# include "sha_local.h"
diff --git a/crypto/sha/sha256.c b/crypto/sha/sha256.c
index bf78f075..11050ba5 100644
--- a/crypto/sha/sha256.c
+++ b/crypto/sha/sha256.c
@@ -128,7 +128,7 @@ static
#endif
void sha256_block_data_order(SHA256_CTX *ctx, const void *in, size_t num);
-#include "internal/md32_common.h"
+#include "crypto/md32_common.h"
#ifndef SHA256_ASM
static const SHA_LONG K256[64] = {
diff --git a/crypto/sha/sha512.c b/crypto/sha/sha512.c
index 50b65ee8..ca1f387a 100644
--- a/crypto/sha/sha512.c
+++ b/crypto/sha/sha512.c
@@ -50,7 +50,7 @@
#include <openssl/opensslv.h>
#include "internal/cryptlib.h"
-#include "internal/sha.h"
+#include "crypto/sha.h"
#if defined(__i386) || defined(__i386__) || defined(_M_IX86) || \
defined(__x86_64) || defined(_M_AMD64) || defined(_M_X64) || \
diff --git a/crypto/sha/sha_locl.h b/crypto/sha/sha_local.h
similarity index 99%
rename from crypto/sha/sha_locl.h
rename to crypto/sha/sha_local.h
index 4e5a0903..6edb9ef1 100644
--- a/crypto/sha/sha_locl.h
+++ b/crypto/sha/sha_local.h
@@ -42,7 +42,7 @@ static void sha1_block_data_order(SHA_CTX *c, const void *p, size_t num);
void sha1_block_data_order(SHA_CTX *c, const void *p, size_t num);
#endif
-#include "internal/md32_common.h"
+#include "crypto/md32_common.h"
#define INIT_DATA_h0 0x67452301UL
#define INIT_DATA_h1 0xefcdab89UL
diff --git a/crypto/siphash/siphash.c b/crypto/siphash/siphash.c
index be74a38d..07d94c1e 100644
--- a/crypto/siphash/siphash.c
+++ b/crypto/siphash/siphash.c
@@ -27,7 +27,7 @@
#include <string.h>
#include <openssl/crypto.h>
-#include "internal/siphash.h"
+#include "crypto/siphash.h"
#include "siphash_local.h"
/* default: SipHash-2-4 */
diff --git a/crypto/siphash/siphash_ameth.c b/crypto/siphash/siphash_ameth.c
index c0ab7efa..2da6dfec 100644
--- a/crypto/siphash/siphash_ameth.c
+++ b/crypto/siphash/siphash_ameth.c
@@ -10,10 +10,10 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
-#include "internal/asn1_int.h"
-#include "internal/siphash.h"
+#include "crypto/asn1.h"
+#include "crypto/siphash.h"
#include "siphash_local.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/*
* SIPHASH "ASN1" method. This is just here to indicate the maximum
diff --git a/crypto/siphash/siphash_pmeth.c b/crypto/siphash/siphash_pmeth.c
index 66e552fe..0c7d2c61 100644
--- a/crypto/siphash/siphash_pmeth.c
+++ b/crypto/siphash/siphash_pmeth.c
@@ -13,9 +13,9 @@
#include <openssl/x509v3.h>
#include <openssl/evp.h>
#include <openssl/err.h>
-#include "internal/siphash.h"
+#include "crypto/siphash.h"
#include "siphash_local.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/* SIPHASH pkey context structure */
diff --git a/crypto/sm2/sm2_crypt.c b/crypto/sm2/sm2_crypt.c
index 4389fc73..ef505f64 100644
--- a/crypto/sm2/sm2_crypt.c
+++ b/crypto/sm2/sm2_crypt.c
@@ -9,9 +9,9 @@
* https://www.openssl.org/source/license.html
*/
-#include "internal/sm2.h"
-#include "internal/sm2err.h"
-#include "internal/ec_int.h" /* ecdh_KDF_X9_63() */
+#include "crypto/sm2.h"
+#include "crypto/sm2err.h"
+#include "crypto/ec.h" /* ecdh_KDF_X9_63() */
#include <openssl/err.h>
#include <openssl/evp.h>
#include <openssl/bn.h>
diff --git a/crypto/sm2/sm2_err.c b/crypto/sm2/sm2_err.c
index 653c6797..e5973e9c 100644
--- a/crypto/sm2/sm2_err.c
+++ b/crypto/sm2/sm2_err.c
@@ -9,7 +9,7 @@
*/
#include <openssl/err.h>
-#include "internal/sm2err.h"
+#include "crypto/sm2err.h"
#ifndef OPENSSL_NO_ERR
diff --git a/crypto/sm2/sm2_pmeth.c b/crypto/sm2/sm2_pmeth.c
index d187699c..b42a14c3 100644
--- a/crypto/sm2/sm2_pmeth.c
+++ b/crypto/sm2/sm2_pmeth.c
@@ -11,9 +11,9 @@
#include <openssl/asn1t.h>
#include <openssl/ec.h>
#include <openssl/evp.h>
-#include "internal/evp_int.h"
-#include "internal/sm2.h"
-#include "internal/sm2err.h"
+#include "crypto/evp.h"
+#include "crypto/sm2.h"
+#include "crypto/sm2err.h"
/* EC pkey context structure */
@@ -220,6 +220,10 @@ static int pkey_sm2_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2)
*(size_t *)p2 = smctx->id_len;
return 1;
+ case EVP_PKEY_CTRL_DIGESTINIT:
+ /* nothing to be inited, this is to suppress the error... */
+ return 1;
+
default:
return -2;
}
diff --git a/crypto/sm2/sm2_sign.c b/crypto/sm2/sm2_sign.c
index 50ecb4d6..683f03f9 100644
--- a/crypto/sm2/sm2_sign.c
+++ b/crypto/sm2/sm2_sign.c
@@ -9,9 +9,9 @@
* https://www.openssl.org/source/license.html
*/
-#include "internal/sm2.h"
-#include "internal/sm2err.h"
-#include "internal/ec_int.h" /* ec_group_do_inverse_ord() */
+#include "crypto/sm2.h"
+#include "crypto/sm2err.h"
+#include "crypto/ec.h" /* ec_group_do_inverse_ord() */
#include "internal/numbers.h"
#include <openssl/err.h>
#include <openssl/evp.h>
diff --git a/crypto/sm3/m_sm3.c b/crypto/sm3/m_sm3.c
index 85538dc8..7e54f429 100644
--- a/crypto/sm3/m_sm3.c
+++ b/crypto/sm3/m_sm3.c
@@ -12,8 +12,8 @@
#ifndef OPENSSL_NO_SM3
# include <openssl/evp.h>
-# include "internal/evp_int.h"
-# include "internal/sm3.h"
+# include "crypto/evp.h"
+# include "crypto/sm3.h"
static int init(EVP_MD_CTX *ctx)
{
diff --git a/crypto/sm3/sm3.c b/crypto/sm3/sm3.c
index 1588dd11..d78292b4 100644
--- a/crypto/sm3/sm3.c
+++ b/crypto/sm3/sm3.c
@@ -10,7 +10,7 @@
*/
#include <openssl/e_os2.h>
-#include "sm3_locl.h"
+#include "sm3_local.h"
int sm3_init(SM3_CTX *c)
{
diff --git a/crypto/sm3/sm3_locl.h b/crypto/sm3/sm3_local.h
similarity index 97%
rename from crypto/sm3/sm3_locl.h
rename to crypto/sm3/sm3_local.h
index efa6db57..7171de51 100644
--- a/crypto/sm3/sm3_locl.h
+++ b/crypto/sm3/sm3_local.h
@@ -10,7 +10,7 @@
*/
#include <string.h>
-#include "internal/sm3.h"
+#include "crypto/sm3.h"
#define DATA_ORDER_IS_BIG_ENDIAN
@@ -36,7 +36,7 @@
void sm3_transform(SM3_CTX *c, const unsigned char *data);
-#include "internal/md32_common.h"
+#include "crypto/md32_common.h"
#define P0(X) (X ^ ROTATE(X, 9) ^ ROTATE(X, 17))
#define P1(X) (X ^ ROTATE(X, 15) ^ ROTATE(X, 23))
diff --git a/crypto/sm4/sm4.c b/crypto/sm4/sm4.c
index 0c819a4b..5750e763 100644
--- a/crypto/sm4/sm4.c
+++ b/crypto/sm4/sm4.c
@@ -10,7 +10,7 @@
*/
#include <openssl/e_os2.h>
-#include "internal/sm4.h"
+#include "crypto/sm4.h"
static const uint8_t SM4_S[256] = {
0xD6, 0x90, 0xE9, 0xFE, 0xCC, 0xE1, 0x3D, 0xB7, 0x16, 0xB6, 0x14, 0xC2,
diff --git a/crypto/sparc_arch.h b/crypto/sparc_arch.h
index 99eafb33..c74063be 100644
--- a/crypto/sparc_arch.h
+++ b/crypto/sparc_arch.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef __SPARC_ARCH_H__
-# define __SPARC_ARCH_H__
+#ifndef OSSL_CRYPTO_SPARC_ARCH_H
+# define OSSL_CRYPTO_SPARC_ARCH_H
# define SPARCV9_TICK_PRIVILEGED (1<<0)
# define SPARCV9_PREFER_FPU (1<<1)
@@ -115,4 +115,4 @@
mov tmp, %o7;
# endif
-#endif /* __SPARC_ARCH_H__ */
+#endif /* OSSL_CRYPTO_SPARC_ARCH_H */
diff --git a/crypto/sparcv9cap.c b/crypto/sparcv9cap.c
index c8c56753..ff1a983a 100644
--- a/crypto/sparcv9cap.c
+++ b/crypto/sparcv9cap.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -268,7 +268,7 @@ void OPENSSL_cpuid_setup(void)
/*
* In wait for better solution _sparcv9_rdcfr is masked by
- * VIS3 flag, because it goes to uninterruptable endless
+ * VIS3 flag, because it goes to uninterruptible endless
* loop on UltraSPARC II running Solaris. Things might be
* different on Linux...
*/
diff --git a/crypto/srp/srp_lib.c b/crypto/srp/srp_lib.c
index ca20f6d0..ce350482 100644
--- a/crypto/srp/srp_lib.c
+++ b/crypto/srp/srp_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2004-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2004-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2004, EdelKey Project. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -16,7 +16,7 @@
# include <openssl/sha.h>
# include <openssl/srp.h>
# include <openssl/evp.h>
-# include "internal/bn_srp.h"
+# include "crypto/bn_srp.h"
/* calculate = SHA1(PAD(x) || PAD(y)) */
@@ -177,6 +177,7 @@ BIGNUM *SRP_Calc_client_key(const BIGNUM *N, const BIGNUM *B, const BIGNUM *g,
const BIGNUM *x, const BIGNUM *a, const BIGNUM *u)
{
BIGNUM *tmp = NULL, *tmp2 = NULL, *tmp3 = NULL, *k = NULL, *K = NULL;
+ BIGNUM *xtmp = NULL;
BN_CTX *bn_ctx;
if (u == NULL || B == NULL || N == NULL || g == NULL || x == NULL
@@ -185,10 +186,13 @@ BIGNUM *SRP_Calc_client_key(const BIGNUM *N, const BIGNUM *B, const BIGNUM *g,
if ((tmp = BN_new()) == NULL ||
(tmp2 = BN_new()) == NULL ||
- (tmp3 = BN_new()) == NULL)
+ (tmp3 = BN_new()) == NULL ||
+ (xtmp = BN_new()) == NULL)
goto err;
- if (!BN_mod_exp(tmp, g, x, N, bn_ctx))
+ BN_with_flags(xtmp, x, BN_FLG_CONSTTIME);
+ BN_set_flags(tmp, BN_FLG_CONSTTIME);
+ if (!BN_mod_exp(tmp, g, xtmp, N, bn_ctx))
goto err;
if ((k = srp_Calc_k(N, g)) == NULL)
goto err;
@@ -196,7 +200,7 @@ BIGNUM *SRP_Calc_client_key(const BIGNUM *N, const BIGNUM *B, const BIGNUM *g,
goto err;
if (!BN_mod_sub(tmp, B, tmp2, N, bn_ctx))
goto err;
- if (!BN_mul(tmp3, u, x, bn_ctx))
+ if (!BN_mul(tmp3, u, xtmp, bn_ctx))
goto err;
if (!BN_add(tmp2, a, tmp3))
goto err;
@@ -208,6 +212,7 @@ BIGNUM *SRP_Calc_client_key(const BIGNUM *N, const BIGNUM *B, const BIGNUM *g,
err:
BN_CTX_free(bn_ctx);
+ BN_free(xtmp);
BN_clear_free(tmp);
BN_clear_free(tmp2);
BN_clear_free(tmp3);
diff --git a/crypto/srp/srp_vfy.c b/crypto/srp/srp_vfy.c
index eb279dd4..3dd2ab05 100644
--- a/crypto/srp/srp_vfy.c
+++ b/crypto/srp/srp_vfy.c
@@ -13,7 +13,7 @@
#ifndef OPENSSL_NO_SRP
# include "internal/cryptlib.h"
-# include "internal/evp_int.h"
+# include "crypto/evp.h"
# include <openssl/sha.h>
# include <openssl/srp.h>
# include <openssl/evp.h>
diff --git a/crypto/store/loader_file.c b/crypto/store/loader_file.c
index 6f569ee6..9c9e3bd0 100644
--- a/crypto/store/loader_file.c
+++ b/crypto/store/loader_file.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -24,12 +24,12 @@
#include <openssl/store.h>
#include <openssl/ui.h>
#include <openssl/x509.h> /* For the PKCS8 stuff o.O */
-#include "internal/asn1_int.h"
-#include "internal/ctype.h"
+#include "crypto/asn1.h"
+#include "crypto/ctype.h"
#include "internal/o_dir.h"
#include "internal/cryptlib.h"
-#include "internal/store_int.h"
-#include "store_locl.h"
+#include "crypto/store.h"
+#include "store_local.h"
#ifdef _WIN32
# define stat _stat
@@ -429,6 +429,42 @@ static OSSL_STORE_INFO *try_decode_PrivateKey(const char *pem_name,
}
} else {
int i;
+#ifndef OPENSSL_NO_ENGINE
+ ENGINE *curengine = ENGINE_get_first();
+
+ while (curengine != NULL) {
+ ENGINE_PKEY_ASN1_METHS_PTR asn1meths =
+ ENGINE_get_pkey_asn1_meths(curengine);
+
+ if (asn1meths != NULL) {
+ const int *nids = NULL;
+ int nids_n = asn1meths(curengine, NULL, &nids, 0);
+
+ for (i = 0; i < nids_n; i++) {
+ EVP_PKEY_ASN1_METHOD *ameth2 = NULL;
+ EVP_PKEY *tmp_pkey = NULL;
+ const unsigned char *tmp_blob = blob;
+
+ if (!asn1meths(curengine, &ameth2, NULL, nids[i]))
+ continue;
+ if (ameth2 == NULL
+ || ameth2->pkey_flags & ASN1_PKEY_ALIAS)
+ continue;
+
+ tmp_pkey = d2i_PrivateKey(ameth2->pkey_id, NULL,
+ &tmp_blob, len);
+ if (tmp_pkey != NULL) {
+ if (pkey != NULL)
+ EVP_PKEY_free(tmp_pkey);
+ else
+ pkey = tmp_pkey;
+ (*matchcount)++;
+ }
+ }
+ }
+ curengine = ENGINE_get_next(curengine);
+ }
+#endif
for (i = 0; i < EVP_PKEY_asn1_get_count(); i++) {
EVP_PKEY *tmp_pkey = NULL;
diff --git a/crypto/store/store_init.c b/crypto/store/store_init.c
index b398bf59..0103c8db 100644
--- a/crypto/store/store_init.c
+++ b/crypto/store/store_init.c
@@ -8,8 +8,8 @@
*/
#include <openssl/err.h>
-#include "internal/store.h"
-#include "store_locl.h"
+#include "crypto/store.h"
+#include "store_local.h"
static CRYPTO_ONCE store_init = CRYPTO_ONCE_STATIC_INIT;
DEFINE_RUN_ONCE_STATIC(do_store_init)
diff --git a/crypto/store/store_lib.c b/crypto/store/store_lib.c
index 7de2e31f..fb71f847 100644
--- a/crypto/store/store_lib.c
+++ b/crypto/store/store_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -18,8 +18,8 @@
#include <openssl/err.h>
#include <openssl/store.h>
#include "internal/thread_once.h"
-#include "internal/store_int.h"
-#include "store_locl.h"
+#include "crypto/store.h"
+#include "store_local.h"
struct ossl_store_ctx_st {
const OSSL_STORE_LOADER *loader;
@@ -218,7 +218,11 @@ int OSSL_STORE_eof(OSSL_STORE_CTX *ctx)
int OSSL_STORE_close(OSSL_STORE_CTX *ctx)
{
- int loader_ret = ctx->loader->close(ctx->loader_ctx);
+ int loader_ret;
+
+ if (ctx == NULL)
+ return 1;
+ loader_ret = ctx->loader->close(ctx->loader_ctx);
OPENSSL_free(ctx);
return loader_ret;
diff --git a/crypto/store/store_locl.h b/crypto/store/store_local.h
similarity index 100%
rename from crypto/store/store_locl.h
rename to crypto/store/store_local.h
diff --git a/crypto/store/store_register.c b/crypto/store/store_register.c
index e68cb3c5..3631d9b5 100644
--- a/crypto/store/store_register.c
+++ b/crypto/store/store_register.c
@@ -8,12 +8,12 @@
*/
#include <string.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <assert.h>
#include <openssl/err.h>
#include <openssl/lhash.h>
-#include "store_locl.h"
+#include "store_local.h"
static CRYPTO_RWLOCK *registry_lock;
static CRYPTO_ONCE registry_init = CRYPTO_ONCE_STATIC_INIT;
diff --git a/crypto/threads_none.c b/crypto/threads_none.c
index aabf0e0d..aaaaae87 100644
--- a/crypto/threads_none.c
+++ b/crypto/threads_none.c
@@ -143,7 +143,7 @@ int openssl_get_fork_id(void)
# if defined(OPENSSL_SYS_UNIX)
return getpid();
# else
- return return 0;
+ return 0;
# endif
}
#endif
diff --git a/crypto/threads_win.c b/crypto/threads_win.c
index 44a360fc..83dccb84 100644
--- a/crypto/threads_win.c
+++ b/crypto/threads_win.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -24,15 +24,15 @@ CRYPTO_RWLOCK *CRYPTO_THREAD_lock_new(void)
return NULL;
}
-#if !defined(_WIN32_WCE)
+# if !defined(_WIN32_WCE)
/* 0x400 is the spin count value suggested in the documentation */
if (!InitializeCriticalSectionAndSpinCount(lock, 0x400)) {
OPENSSL_free(lock);
return NULL;
}
-#else
+# else
InitializeCriticalSection(lock);
-#endif
+# endif
return lock;
}
@@ -155,7 +155,7 @@ int CRYPTO_THREAD_compare_id(CRYPTO_THREAD_ID a, CRYPTO_THREAD_ID b)
int CRYPTO_atomic_add(int *val, int amount, int *ret, CRYPTO_RWLOCK *lock)
{
- *ret = InterlockedExchangeAdd(val, amount) + amount;
+ *ret = (int)InterlockedExchangeAdd((long volatile *)val, (long)amount) + amount;
return 1;
}
diff --git a/crypto/ts/ts_asn1.c b/crypto/ts/ts_asn1.c
index 87072070..2840f585 100644
--- a/crypto/ts/ts_asn1.c
+++ b/crypto/ts/ts_asn1.c
@@ -10,7 +10,7 @@
#include <openssl/ts.h>
#include <openssl/err.h>
#include <openssl/asn1t.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
ASN1_SEQUENCE(TS_MSG_IMPRINT) = {
ASN1_SIMPLE(TS_MSG_IMPRINT, hash_algo, X509_ALGOR),
diff --git a/crypto/ts/ts_lib.c b/crypto/ts/ts_lib.c
index ce2e12c5..bfe98136 100644
--- a/crypto/ts/ts_lib.c
+++ b/crypto/ts/ts_lib.c
@@ -14,7 +14,7 @@
#include <openssl/x509.h>
#include <openssl/x509v3.h>
#include <openssl/ts.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
int TS_ASN1_INTEGER_print_bio(BIO *bio, const ASN1_INTEGER *num)
{
diff --git a/crypto/ts/ts_lcl.h b/crypto/ts/ts_local.h
similarity index 100%
rename from crypto/ts/ts_lcl.h
rename to crypto/ts/ts_local.h
diff --git a/crypto/ts/ts_req_print.c b/crypto/ts/ts_req_print.c
index 0dedf47d..4eba5cf0 100644
--- a/crypto/ts/ts_req_print.c
+++ b/crypto/ts/ts_req_print.c
@@ -13,7 +13,7 @@
#include <openssl/bn.h>
#include <openssl/x509v3.h>
#include <openssl/ts.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
int TS_REQ_print_bio(BIO *bio, TS_REQ *a)
{
diff --git a/crypto/ts/ts_req_utils.c b/crypto/ts/ts_req_utils.c
index 2073d339..a4568e3b 100644
--- a/crypto/ts/ts_req_utils.c
+++ b/crypto/ts/ts_req_utils.c
@@ -12,7 +12,7 @@
#include <openssl/objects.h>
#include <openssl/x509v3.h>
#include <openssl/ts.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
int TS_REQ_set_version(TS_REQ *a, long version)
{
diff --git a/crypto/ts/ts_rsp_print.c b/crypto/ts/ts_rsp_print.c
index 6eb0ec8d..a2451aaa 100644
--- a/crypto/ts/ts_rsp_print.c
+++ b/crypto/ts/ts_rsp_print.c
@@ -13,7 +13,7 @@
#include <openssl/bn.h>
#include <openssl/x509v3.h>
#include <openssl/ts.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
struct status_map_st {
int bit;
diff --git a/crypto/ts/ts_rsp_sign.c b/crypto/ts/ts_rsp_sign.c
index 1b2b84ef..342582f0 100644
--- a/crypto/ts/ts_rsp_sign.c
+++ b/crypto/ts/ts_rsp_sign.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,7 +14,7 @@
#include <openssl/ts.h>
#include <openssl/pkcs7.h>
#include <openssl/crypto.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
static ASN1_INTEGER *def_serial_cb(struct TS_resp_ctx *, void *);
static int def_time_cb(struct TS_resp_ctx *, void *, long *sec, long *usec);
@@ -57,12 +57,14 @@ static ASN1_INTEGER *def_serial_cb(struct TS_resp_ctx *ctx, void *data)
goto err;
if (!ASN1_INTEGER_set(serial, 1))
goto err;
+
return serial;
err:
TSerr(TS_F_DEF_SERIAL_CB, ERR_R_MALLOC_FAILURE);
TS_RESP_CTX_set_status_info(ctx, TS_STATUS_REJECTION,
"Error during serial number generation.");
+ ASN1_INTEGER_free(serial);
return NULL;
}
@@ -771,7 +773,8 @@ static ESS_CERT_ID *ess_CERT_ID_new_init(X509 *cert, int issuer_needed)
X509_check_purpose(cert, -1, 0);
if ((cid = ESS_CERT_ID_new()) == NULL)
goto err;
- X509_digest(cert, EVP_sha1(), cert_sha1, NULL);
+ if (!X509_digest(cert, EVP_sha1(), cert_sha1, NULL))
+ goto err;
if (!ASN1_OCTET_STRING_set(cid->hash, cert_sha1, SHA_DIGEST_LENGTH))
goto err;
diff --git a/crypto/ts/ts_rsp_utils.c b/crypto/ts/ts_rsp_utils.c
index 3ecee39a..3fa0dbd0 100644
--- a/crypto/ts/ts_rsp_utils.c
+++ b/crypto/ts/ts_rsp_utils.c
@@ -12,7 +12,7 @@
#include <openssl/objects.h>
#include <openssl/ts.h>
#include <openssl/pkcs7.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
int TS_RESP_set_status_info(TS_RESP *a, TS_STATUS_INFO *status_info)
{
diff --git a/crypto/ts/ts_rsp_verify.c b/crypto/ts/ts_rsp_verify.c
index 9deda81b..c2e7abd6 100644
--- a/crypto/ts/ts_rsp_verify.c
+++ b/crypto/ts/ts_rsp_verify.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,7 +12,7 @@
#include <openssl/objects.h>
#include <openssl/ts.h>
#include <openssl/pkcs7.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
static int ts_verify_cert(X509_STORE *store, STACK_OF(X509) *untrusted,
X509 *signer, STACK_OF(X509) **chain);
@@ -289,11 +289,12 @@ static int ts_find_cert(STACK_OF(ESS_CERT_ID) *cert_ids, X509 *cert)
if (!cert_ids || !cert)
return -1;
- X509_digest(cert, EVP_sha1(), cert_sha1, NULL);
-
/* Recompute SHA1 hash of certificate if necessary (side effect). */
X509_check_purpose(cert, -1, 0);
+ if (!X509_digest(cert, EVP_sha1(), cert_sha1, NULL))
+ return -1;
+
/* Look for cert in the cert_ids vector. */
for (i = 0; i < sk_ESS_CERT_ID_num(cert_ids); ++i) {
ESS_CERT_ID *cid = sk_ESS_CERT_ID_value(cert_ids, i);
@@ -326,7 +327,8 @@ static int ts_find_cert_v2(STACK_OF(ESS_CERT_ID_V2) *cert_ids, X509 *cert)
else
md = EVP_sha256();
- X509_digest(cert, md, cert_digest, &len);
+ if (!X509_digest(cert, md, cert_digest, &len))
+ return -1;
if (cid->hash->length != (int)len)
return -1;
diff --git a/crypto/ts/ts_verify_ctx.c b/crypto/ts/ts_verify_ctx.c
index d4792ee0..1e80e0d3 100644
--- a/crypto/ts/ts_verify_ctx.c
+++ b/crypto/ts/ts_verify_ctx.c
@@ -10,7 +10,7 @@
#include "internal/cryptlib.h"
#include <openssl/objects.h>
#include <openssl/ts.h>
-#include "ts_lcl.h"
+#include "ts_local.h"
TS_VERIFY_CTX *TS_VERIFY_CTX_new(void)
{
diff --git a/crypto/ui/ui_lib.c b/crypto/ui/ui_lib.c
index f550972d..49cc4505 100644
--- a/crypto/ui/ui_lib.c
+++ b/crypto/ui/ui_lib.c
@@ -13,7 +13,7 @@
#include <openssl/buffer.h>
#include <openssl/ui.h>
#include <openssl/err.h>
-#include "ui_locl.h"
+#include "ui_local.h"
UI *UI_new(void)
{
diff --git a/crypto/ui/ui_locl.h b/crypto/ui/ui_local.h
similarity index 98%
rename from crypto/ui/ui_locl.h
rename to crypto/ui/ui_local.h
index 19b33b8f..8a7dbda1 100644
--- a/crypto/ui/ui_locl.h
+++ b/crypto/ui/ui_local.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_UI_LOCL_H
-# define HEADER_UI_LOCL_H
+#ifndef OSSL_CRYPTO_UI_LOCAL_H
+# define OSSL_CRYPTO_UI_LOCAL_H
# include <openssl/ui.h>
# include <openssl/crypto.h>
diff --git a/crypto/ui/ui_null.c b/crypto/ui/ui_null.c
index 9e5f6fca..9ab00e0a 100644
--- a/crypto/ui/ui_null.c
+++ b/crypto/ui/ui_null.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ui_locl.h"
+#include "ui_local.h"
static const UI_METHOD ui_null = {
"OpenSSL NULL UI",
diff --git a/crypto/ui/ui_openssl.c b/crypto/ui/ui_openssl.c
index 0ec9f0da..9526c165 100644
--- a/crypto/ui/ui_openssl.c
+++ b/crypto/ui/ui_openssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -53,7 +53,7 @@
# endif
# endif
-# include "ui_locl.h"
+# include "ui_local.h"
# include "internal/cryptlib.h"
# ifdef OPENSSL_SYS_VMS /* prototypes for sys$whatever */
@@ -439,6 +439,16 @@ static int open_console(UI *ui)
is_a_tty = 0;
else
# endif
+# ifdef EPERM
+ /*
+ * Linux can return EPERM (Operation not permitted),
+ * e.g. if a daemon executes openssl via fork()+execve()
+ * This should be ok
+ */
+ if (errno == EPERM)
+ is_a_tty = 0;
+ else
+# endif
# ifdef ENODEV
/*
* MacOS X returns ENODEV (Operation not supported by device),
diff --git a/crypto/ui/ui_util.c b/crypto/ui/ui_util.c
index b379324f..32a3c4e3 100644
--- a/crypto/ui/ui_util.c
+++ b/crypto/ui/ui_util.c
@@ -8,8 +8,9 @@
*/
#include <string.h>
+#include <openssl/pem.h> /* PEM_def_callback() */
#include "internal/thread_once.h"
-#include "ui_locl.h"
+#include "ui_local.h"
#ifndef BUFSIZ
#define BUFSIZ 256
@@ -156,7 +157,7 @@ UI_METHOD *UI_UTIL_wrap_read_pem_callback(pem_password_cb *cb, int rwflag)
return NULL;
}
data->rwflag = rwflag;
- data->cb = cb;
+ data->cb = cb != NULL ? cb : PEM_def_callback;
return ui_method;
}
diff --git a/crypto/whrlpool/asm/wp-mmx.pl b/crypto/whrlpool/asm/wp-mmx.pl
index 2241c6f0..176be50a 100644
--- a/crypto/whrlpool/asm/wp-mmx.pl
+++ b/crypto/whrlpool/asm/wp-mmx.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -69,19 +69,19 @@ sub LL()
unshift(@_,pop(@_));
}
}
- else { die "unvalid SCALE value"; }
+ else { die "invalid SCALE value"; }
}
sub scale()
{ if ($SCALE==2) { &lea(@_[0],&DWP(0,@_[1],@_[1])); }
elsif ($SCALE==8) { &lea(@_[0],&DWP(0,"",@_[1],8)); }
- else { die "unvalid SCALE value"; }
+ else { die "invalid SCALE value"; }
}
sub row()
{ if ($SCALE==2) { ((8-shift)&7); }
elsif ($SCALE==8) { (8*shift); }
- else { die "unvalid SCALE value"; }
+ else { die "invalid SCALE value"; }
}
$tbl="ebp";
@@ -504,4 +504,4 @@ for($i=0;$i<8;$i++) {
&function_end_B("whirlpool_block_mmx");
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/whrlpool/asm/wp-x86_64.pl b/crypto/whrlpool/asm/wp-x86_64.pl
index fe23d8ca..b4fcd8be 100644
--- a/crypto/whrlpool/asm/wp-x86_64.pl
+++ b/crypto/whrlpool/asm/wp-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -614,4 +614,4 @@ ___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
print $code;
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/crypto/whrlpool/wp_block.c b/crypto/whrlpool/wp_block.c
index 2ae5c38a..39ad009c 100644
--- a/crypto/whrlpool/wp_block.c
+++ b/crypto/whrlpool/wp_block.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -36,7 +36,7 @@
*
*/
-#include "wp_locl.h"
+#include "wp_local.h"
#include <string.h>
typedef unsigned char u8;
@@ -63,6 +63,20 @@ typedef unsigned long long u64;
# undef STRICT_ALIGNMENT
#endif
+#ifndef STRICT_ALIGNMENT
+# ifdef __GNUC__
+typedef u64 u64_a1 __attribute((__aligned__(1)));
+# else
+typedef u64 u64_a1;
+# endif
+#endif
+
+#if defined(__GNUC__) && !defined(STRICT_ALIGNMENT)
+typedef u64 u64_aX __attribute((__aligned__(1)));
+#else
+typedef u64 u64_aX;
+#endif
+
#undef SMALL_REGISTER_BANK
#if defined(__i386) || defined(__i386__) || defined(_M_IX86)
# define SMALL_REGISTER_BANK
@@ -191,13 +205,13 @@ typedef unsigned long long u64;
# define LL(c0,c1,c2,c3,c4,c5,c6,c7) c0,c1,c2,c3,c4,c5,c6,c7, \
c0,c1,c2,c3,c4,c5,c6,c7
# define C0(K,i) (((u64*)(Cx.c+0))[2*K.c[(i)*8+0]])
-# define C1(K,i) (((u64*)(Cx.c+7))[2*K.c[(i)*8+1]])
-# define C2(K,i) (((u64*)(Cx.c+6))[2*K.c[(i)*8+2]])
-# define C3(K,i) (((u64*)(Cx.c+5))[2*K.c[(i)*8+3]])
-# define C4(K,i) (((u64*)(Cx.c+4))[2*K.c[(i)*8+4]])
-# define C5(K,i) (((u64*)(Cx.c+3))[2*K.c[(i)*8+5]])
-# define C6(K,i) (((u64*)(Cx.c+2))[2*K.c[(i)*8+6]])
-# define C7(K,i) (((u64*)(Cx.c+1))[2*K.c[(i)*8+7]])
+# define C1(K,i) (((u64_a1*)(Cx.c+7))[2*K.c[(i)*8+1]])
+# define C2(K,i) (((u64_a1*)(Cx.c+6))[2*K.c[(i)*8+2]])
+# define C3(K,i) (((u64_a1*)(Cx.c+5))[2*K.c[(i)*8+3]])
+# define C4(K,i) (((u64_a1*)(Cx.c+4))[2*K.c[(i)*8+4]])
+# define C5(K,i) (((u64_a1*)(Cx.c+3))[2*K.c[(i)*8+5]])
+# define C6(K,i) (((u64_a1*)(Cx.c+2))[2*K.c[(i)*8+6]])
+# define C7(K,i) (((u64_a1*)(Cx.c+1))[2*K.c[(i)*8+7]])
#endif
static const
@@ -531,7 +545,7 @@ void whirlpool_block(WHIRLPOOL_CTX *ctx, const void *inp, size_t n)
} else
# endif
{
- const u64 *pa = (const u64 *)p;
+ const u64_aX *pa = (const u64_aX *)p;
S.q[0] = (K.q[0] = H->q[0]) ^ pa[0];
S.q[1] = (K.q[1] = H->q[1]) ^ pa[1];
S.q[2] = (K.q[2] = H->q[2]) ^ pa[2];
@@ -769,7 +783,7 @@ void whirlpool_block(WHIRLPOOL_CTX *ctx, const void *inp, size_t n)
} else
# endif
{
- const u64 *pa = (const u64 *)p;
+ const u64_aX *pa = (const u64_aX *)p;
H->q[0] ^= S.q[0] ^ pa[0];
H->q[1] ^= S.q[1] ^ pa[1];
H->q[2] ^= S.q[2] ^ pa[2];
diff --git a/crypto/whrlpool/wp_dgst.c b/crypto/whrlpool/wp_dgst.c
index 1ac29803..e8a33922 100644
--- a/crypto/whrlpool/wp_dgst.c
+++ b/crypto/whrlpool/wp_dgst.c
@@ -53,7 +53,7 @@
*/
#include <openssl/crypto.h>
-#include "wp_locl.h"
+#include "wp_local.h"
#include <string.h>
int WHIRLPOOL_Init(WHIRLPOOL_CTX *c)
diff --git a/crypto/whrlpool/wp_locl.h b/crypto/whrlpool/wp_local.h
similarity index 100%
rename from crypto/whrlpool/wp_locl.h
rename to crypto/whrlpool/wp_local.h
diff --git a/crypto/x509/by_dir.c b/crypto/x509/by_dir.c
index b691a83a..238c2519 100644
--- a/crypto/x509/by_dir.c
+++ b/crypto/x509/by_dir.c
@@ -19,8 +19,8 @@
#endif
#include <openssl/x509.h>
-#include "internal/x509_int.h"
-#include "x509_lcl.h"
+#include "crypto/x509.h"
+#include "x509_local.h"
struct lookup_dir_hashes_st {
unsigned long hash;
diff --git a/crypto/x509/by_file.c b/crypto/x509/by_file.c
index 244512c9..237b362e 100644
--- a/crypto/x509/by_file.c
+++ b/crypto/x509/by_file.c
@@ -15,7 +15,7 @@
#include <openssl/buffer.h>
#include <openssl/x509.h>
#include <openssl/pem.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
static int by_file_ctrl(X509_LOOKUP *ctx, int cmd, const char *argc,
long argl, char **ret);
diff --git a/crypto/x509/t_x509.c b/crypto/x509/t_x509.c
index ccacbe7c..12d807f7 100644
--- a/crypto/x509/t_x509.c
+++ b/crypto/x509/t_x509.c
@@ -14,7 +14,7 @@
#include <openssl/objects.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
#ifndef OPENSSL_NO_STDIO
int X509_print_fp(FILE *fp, X509 *x)
diff --git a/crypto/x509/x509_att.c b/crypto/x509/x509_att.c
index 3c4566d2..cc9f9d19 100644
--- a/crypto/x509/x509_att.c
+++ b/crypto/x509/x509_att.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,7 +15,7 @@
#include <openssl/evp.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
int X509at_get_attr_count(const STACK_OF(X509_ATTRIBUTE) *x)
{
@@ -149,7 +149,7 @@ STACK_OF(X509_ATTRIBUTE) *X509at_add1_attr_by_txt(STACK_OF(X509_ATTRIBUTE)
return ret;
}
-void *X509at_get0_data_by_OBJ(STACK_OF(X509_ATTRIBUTE) *x,
+void *X509at_get0_data_by_OBJ(const STACK_OF(X509_ATTRIBUTE) *x,
const ASN1_OBJECT *obj, int lastpos, int type)
{
int i;
diff --git a/crypto/x509/x509_cmp.c b/crypto/x509/x509_cmp.c
index 833bfce1..1d8d2d7b 100644
--- a/crypto/x509/x509_cmp.c
+++ b/crypto/x509/x509_cmp.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,7 +13,7 @@
#include <openssl/objects.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
int X509_issuer_and_serial_cmp(const X509 *a, const X509 *b)
{
@@ -39,6 +39,8 @@ unsigned long X509_issuer_and_serial_hash(X509 *a)
if (ctx == NULL)
goto err;
f = X509_NAME_oneline(a->cert_info.issuer, NULL, 0);
+ if (f == NULL)
+ goto err;
if (!EVP_DigestInit_ex(ctx, EVP_md5(), NULL))
goto err;
if (!EVP_DigestUpdate(ctx, (unsigned char *)f, strlen(f)))
@@ -133,14 +135,21 @@ unsigned long X509_subject_name_hash_old(X509 *x)
*/
int X509_cmp(const X509 *a, const X509 *b)
{
- int rv;
- /* ensure hash is valid */
- X509_check_purpose((X509 *)a, -1, 0);
- X509_check_purpose((X509 *)b, -1, 0);
+ int rv = 0;
+
+ if (a == b) /* for efficiency */
+ return 0;
- rv = memcmp(a->sha1_hash, b->sha1_hash, SHA_DIGEST_LENGTH);
- if (rv)
+ /* try to make sure hash is valid */
+ (void)X509_check_purpose((X509 *)a, -1, 0);
+ (void)X509_check_purpose((X509 *)b, -1, 0);
+
+ if ((a->ex_flags & EXFLAG_NO_FINGERPRINT) == 0
+ && (b->ex_flags & EXFLAG_NO_FINGERPRINT) == 0)
+ rv = memcmp(a->sha1_hash, b->sha1_hash, SHA_DIGEST_LENGTH);
+ if (rv != 0)
return rv;
+
/* Check for match against stored encoding too */
if (!a->cert_info.enc.modified && !b->cert_info.enc.modified) {
if (a->cert_info.enc.len < b->cert_info.enc.len)
diff --git a/crypto/x509/x509_err.c b/crypto/x509/x509_err.c
index c110d908..bdd1e67c 100644
--- a/crypto/x509/x509_err.c
+++ b/crypto/x509/x509_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -79,6 +79,7 @@ static const ERR_STRING_DATA X509_str_functs[] = {
{ERR_PACK(ERR_LIB_X509, X509_F_X509_PRINT_EX_FP, 0), "X509_print_ex_fp"},
{ERR_PACK(ERR_LIB_X509, X509_F_X509_PUBKEY_DECODE, 0),
"x509_pubkey_decode"},
+ {ERR_PACK(ERR_LIB_X509, X509_F_X509_PUBKEY_GET, 0), "X509_PUBKEY_get"},
{ERR_PACK(ERR_LIB_X509, X509_F_X509_PUBKEY_GET0, 0), "X509_PUBKEY_get0"},
{ERR_PACK(ERR_LIB_X509, X509_F_X509_PUBKEY_SET, 0), "X509_PUBKEY_set"},
{ERR_PACK(ERR_LIB_X509, X509_F_X509_REQ_CHECK_PRIVATE_KEY, 0),
diff --git a/crypto/x509/x509_ext.c b/crypto/x509/x509_ext.c
index 2db84376..4cdab724 100644
--- a/crypto/x509/x509_ext.c
+++ b/crypto/x509/x509_ext.c
@@ -13,7 +13,7 @@
#include <openssl/objects.h>
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/x509v3.h>
int X509_CRL_get_ext_count(const X509_CRL *x)
diff --git a/crypto/x509/x509_lcl.h b/crypto/x509/x509_local.h
similarity index 96%
rename from crypto/x509/x509_lcl.h
rename to crypto/x509/x509_local.h
index c517a774..10807e1d 100644
--- a/crypto/x509/x509_lcl.h
+++ b/crypto/x509/x509_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -145,3 +145,5 @@ DEFINE_STACK_OF(STACK_OF_X509_NAME_ENTRY)
void x509_set_signature_info(X509_SIG_INFO *siginf, const X509_ALGOR *alg,
const ASN1_STRING *sig);
+int x509_likely_issued(X509 *issuer, X509 *subject);
+int x509_signing_allowed(const X509 *issuer, const X509 *subject);
diff --git a/crypto/x509/x509_lu.c b/crypto/x509/x509_lu.c
index b7d2e665..641a41c3 100644
--- a/crypto/x509/x509_lu.c
+++ b/crypto/x509/x509_lu.c
@@ -11,9 +11,9 @@
#include "internal/cryptlib.h"
#include "internal/refcount.h"
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/x509v3.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
X509_LOOKUP *X509_LOOKUP_new(X509_LOOKUP_METHOD *method)
{
diff --git a/crypto/x509/x509_meth.c b/crypto/x509/x509_meth.c
index 9dc587a0..9348cc8e 100644
--- a/crypto/x509/x509_meth.c
+++ b/crypto/x509/x509_meth.c
@@ -15,7 +15,7 @@
#include <openssl/asn1.h>
#include <openssl/x509.h>
#include <openssl/ossl_typ.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
X509_LOOKUP_METHOD *X509_LOOKUP_meth_new(const char *name)
{
diff --git a/crypto/x509/x509_obj.c b/crypto/x509/x509_obj.c
index 85c39415..f54d483c 100644
--- a/crypto/x509/x509_obj.c
+++ b/crypto/x509/x509_obj.c
@@ -12,7 +12,7 @@
#include <openssl/objects.h>
#include <openssl/x509.h>
#include <openssl/buffer.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
/*
* Limit to ensure we don't overflow: much greater than
diff --git a/crypto/x509/x509_r2x.c b/crypto/x509/x509_r2x.c
index 3d72787d..6b1623fe 100644
--- a/crypto/x509/x509_r2x.c
+++ b/crypto/x509/x509_r2x.c
@@ -13,7 +13,7 @@
#include <openssl/evp.h>
#include <openssl/asn1.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/objects.h>
#include <openssl/buffer.h>
diff --git a/crypto/x509/x509_req.c b/crypto/x509/x509_req.c
index 0bdbb81d..dd674926 100644
--- a/crypto/x509/x509_req.c
+++ b/crypto/x509/x509_req.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,7 +14,7 @@
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/objects.h>
#include <openssl/buffer.h>
#include <openssl/pem.h>
@@ -286,6 +286,18 @@ void X509_REQ_get0_signature(const X509_REQ *req, const ASN1_BIT_STRING **psig,
*palg = &req->sig_alg;
}
+void X509_REQ_set0_signature(X509_REQ *req, ASN1_BIT_STRING *psig)
+{
+ if (req->signature)
+ ASN1_BIT_STRING_free(req->signature);
+ req->signature = psig;
+}
+
+int X509_REQ_set1_signature_algo(X509_REQ *req, X509_ALGOR *palg)
+{
+ return X509_ALGOR_copy(&req->sig_alg, palg);
+}
+
int X509_REQ_get_signature_nid(const X509_REQ *req)
{
return OBJ_obj2nid(req->sig_alg.algorithm);
diff --git a/crypto/x509/x509_set.c b/crypto/x509/x509_set.c
index 3ab6bf35..164b4e2b 100644
--- a/crypto/x509/x509_set.c
+++ b/crypto/x509/x509_set.c
@@ -15,9 +15,9 @@
#include <openssl/evp.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/asn1_int.h"
-#include "internal/x509_int.h"
-#include "x509_lcl.h"
+#include "crypto/asn1.h"
+#include "crypto/x509.h"
+#include "x509_local.h"
int X509_set_version(X509 *x, long version)
{
diff --git a/crypto/x509/x509_trs.c b/crypto/x509/x509_trs.c
index d749af4d..a10d4377 100644
--- a/crypto/x509/x509_trs.c
+++ b/crypto/x509/x509_trs.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
static int tr_cmp(const X509_TRUST *const *a, const X509_TRUST *const *b);
static void trtable_free(X509_TRUST *p);
@@ -240,8 +240,9 @@ static int trust_1oid(X509_TRUST *trust, X509 *x, int flags)
static int trust_compat(X509_TRUST *trust, X509 *x, int flags)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, 0);
- if ((flags & X509_TRUST_NO_SS_COMPAT) == 0 && x->ex_flags & EXFLAG_SS)
+ if (X509_check_purpose(x, -1, 0) != 1)
+ return X509_TRUST_UNTRUSTED;
+ if ((flags & X509_TRUST_NO_SS_COMPAT) == 0 && (x->ex_flags & EXFLAG_SS))
return X509_TRUST_TRUSTED;
else
return X509_TRUST_UNTRUSTED;
diff --git a/crypto/x509/x509_txt.c b/crypto/x509/x509_txt.c
index 4755b39e..02bde640 100644
--- a/crypto/x509/x509_txt.c
+++ b/crypto/x509/x509_txt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -174,6 +174,8 @@ const char *X509_verify_cert_error_string(long n)
return "OCSP verification failed";
case X509_V_ERR_OCSP_CERT_UNKNOWN:
return "OCSP unknown cert";
+ case X509_V_ERR_EC_KEY_EXPLICIT_PARAMS:
+ return "Certificate public key has explicit ECC parameters";
default:
/* Printing an error number into a static buffer is not thread-safe */
diff --git a/crypto/x509/x509_v3.c b/crypto/x509/x509_v3.c
index 75ae767d..c7876023 100644
--- a/crypto/x509/x509_v3.c
+++ b/crypto/x509/x509_v3.c
@@ -15,7 +15,7 @@
#include <openssl/evp.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
int X509v3_get_ext_count(const STACK_OF(X509_EXTENSION) *x)
{
diff --git a/crypto/x509/x509_vfy.c b/crypto/x509/x509_vfy.c
index 6be2c71e..0c71b2e8 100644
--- a/crypto/x509/x509_vfy.c
+++ b/crypto/x509/x509_vfy.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,7 +12,7 @@
#include <errno.h>
#include <limits.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/crypto.h>
#include <openssl/buffer.h>
@@ -22,8 +22,8 @@
#include <openssl/x509v3.h>
#include <openssl/objects.h>
#include "internal/dane.h"
-#include "internal/x509_int.h"
-#include "x509_lcl.h"
+#include "crypto/x509.h"
+#include "x509_local.h"
/* CRL score values */
@@ -80,6 +80,7 @@ static int get_issuer_sk(X509 **issuer, X509_STORE_CTX *ctx, X509 *x);
static int check_dane_issuer(X509_STORE_CTX *ctx, int depth);
static int check_key_level(X509_STORE_CTX *ctx, X509 *cert);
static int check_sig_level(X509_STORE_CTX *ctx, X509 *cert);
+static int check_curve(X509 *cert);
static int get_crl_score(X509_STORE_CTX *ctx, X509 **pissuer,
unsigned int *preasons, X509_CRL *crl, X509 *x);
@@ -104,15 +105,16 @@ static int null_callback(int ok, X509_STORE_CTX *e)
return ok;
}
-/* Return 1 is a certificate is self signed */
+/*
+ * Return 1 if given cert is considered self-signed, 0 if not or on error.
+ * This does not verify self-signedness but relies on x509v3_cache_extensions()
+ * matching issuer and subject names (i.e., the cert being self-issued) and any
+ * present authority key identifier matching the subject key identifier, etc.
+ */
static int cert_self_signed(X509 *x)
{
- /*
- * FIXME: x509v3_cache_extensions() needs to detect more failures and not
- * set EXFLAG_SET when that happens. Especially, if the failures are
- * parse errors, rather than memory pressure!
- */
- X509_check_purpose(x, -1, 0);
+ if (X509_check_purpose(x, -1, 0) != 1)
+ return 0;
if (x->ex_flags & EXFLAG_SS)
return 1;
else
@@ -135,10 +137,9 @@ static X509 *lookup_cert_match(X509_STORE_CTX *ctx, X509 *x)
xtmp = sk_X509_value(certs, i);
if (!X509_cmp(xtmp, x))
break;
+ xtmp = NULL;
}
- if (i < sk_X509_num(certs))
- X509_up_ref(xtmp);
- else
+ if (xtmp != NULL && !X509_up_ref(xtmp))
xtmp = NULL;
sk_X509_pop_free(certs, X509_free);
return xtmp;
@@ -271,17 +272,24 @@ int X509_verify_cert(X509_STORE_CTX *ctx)
return -1;
}
+ if (!X509_up_ref(ctx->cert)) {
+ X509err(X509_F_X509_VERIFY_CERT, ERR_R_INTERNAL_ERROR);
+ ctx->error = X509_V_ERR_UNSPECIFIED;
+ return -1;
+ }
+
/*
* first we make sure the chain we are going to build is present and that
* the first entry is in place
*/
- if (((ctx->chain = sk_X509_new_null()) == NULL) ||
- (!sk_X509_push(ctx->chain, ctx->cert))) {
+ if ((ctx->chain = sk_X509_new_null()) == NULL
+ || !sk_X509_push(ctx->chain, ctx->cert)) {
+ X509_free(ctx->cert);
X509err(X509_F_X509_VERIFY_CERT, ERR_R_MALLOC_FAILURE);
ctx->error = X509_V_ERR_OUT_OF_MEM;
return -1;
}
- X509_up_ref(ctx->cert);
+
ctx->num_untrusted = 1;
/* If the peer's public key is too weak, we can stop early. */
@@ -304,8 +312,21 @@ int X509_verify_cert(X509_STORE_CTX *ctx)
return ret;
}
+static int sk_X509_contains(STACK_OF(X509) *sk, X509 *cert)
+{
+ int i, n = sk_X509_num(sk);
+
+ for (i = 0; i < n; i++)
+ if (X509_cmp(sk_X509_value(sk, i), cert) == 0)
+ return 1;
+ return 0;
+}
+
/*
- * Given a STACK_OF(X509) find the issuer of cert (if any)
+ * Find in given STACK_OF(X509) sk an issuer cert of given cert x.
+ * The issuer must not yet be in ctx->chain, where the exceptional case
+ * that x is self-issued and ctx->chain has just one element is allowed.
+ * Prefer the first one that is not expired, else take the last expired one.
*/
static X509 *find_issuer(X509_STORE_CTX *ctx, STACK_OF(X509) *sk, X509 *x)
{
@@ -314,7 +335,9 @@ static X509 *find_issuer(X509_STORE_CTX *ctx, STACK_OF(X509) *sk, X509 *x)
for (i = 0; i < sk_X509_num(sk); i++) {
issuer = sk_X509_value(sk, i);
- if (ctx->check_issued(ctx, x, issuer)) {
+ if (ctx->check_issued(ctx, x, issuer)
+ && (((x->ex_flags & EXFLAG_SI) != 0 && sk_X509_num(ctx->chain) == 1)
+ || !sk_X509_contains(ctx->chain, issuer))) {
rv = issuer;
if (x509_check_cert_time(ctx, rv, -1))
break;
@@ -323,42 +346,25 @@ static X509 *find_issuer(X509_STORE_CTX *ctx, STACK_OF(X509) *sk, X509 *x)
return rv;
}
-/* Given a possible certificate and issuer check them */
-
+/* Check that the given certificate 'x' is issued by the certificate 'issuer' */
static int check_issued(X509_STORE_CTX *ctx, X509 *x, X509 *issuer)
{
- int ret;
- if (x == issuer)
- return cert_self_signed(x);
- ret = X509_check_issued(issuer, x);
- if (ret == X509_V_OK) {
- int i;
- X509 *ch;
- /* Special case: single self signed certificate */
- if (cert_self_signed(x) && sk_X509_num(ctx->chain) == 1)
- return 1;
- for (i = 0; i < sk_X509_num(ctx->chain); i++) {
- ch = sk_X509_value(ctx->chain, i);
- if (ch == issuer || !X509_cmp(ch, issuer)) {
- ret = X509_V_ERR_PATH_LOOP;
- break;
- }
- }
- }
-
- return (ret == X509_V_OK);
+ return x509_likely_issued(issuer, x) == X509_V_OK;
}
/* Alternative lookup method: look from a STACK stored in other_ctx */
-
static int get_issuer_sk(X509 **issuer, X509_STORE_CTX *ctx, X509 *x)
{
*issuer = find_issuer(ctx, ctx->other_ctx, x);
- if (*issuer) {
- X509_up_ref(*issuer);
- return 1;
- } else
- return 0;
+
+ if (*issuer == NULL || !X509_up_ref(*issuer))
+ goto err;
+
+ return 1;
+
+ err:
+ *issuer = NULL;
+ return 0;
}
static STACK_OF(X509) *lookup_certs_sk(X509_STORE_CTX *ctx, X509_NAME *nm)
@@ -370,15 +376,21 @@ static STACK_OF(X509) *lookup_certs_sk(X509_STORE_CTX *ctx, X509_NAME *nm)
for (i = 0; i < sk_X509_num(ctx->other_ctx); i++) {
x = sk_X509_value(ctx->other_ctx, i);
if (X509_NAME_cmp(nm, X509_get_subject_name(x)) == 0) {
+ if (!X509_up_ref(x)) {
+ sk_X509_pop_free(sk, X509_free);
+ X509err(X509_F_LOOKUP_CERTS_SK, ERR_R_INTERNAL_ERROR);
+ ctx->error = X509_V_ERR_UNSPECIFIED;
+ return NULL;
+ }
if (sk == NULL)
sk = sk_X509_new_null();
- if (sk == NULL || sk_X509_push(sk, x) == 0) {
+ if (sk == NULL || !sk_X509_push(sk, x)) {
+ X509_free(x);
sk_X509_pop_free(sk, X509_free);
X509err(X509_F_LOOKUP_CERTS_SK, ERR_R_MALLOC_FAILURE);
ctx->error = X509_V_ERR_OUT_OF_MEM;
return NULL;
}
- X509_up_ref(x);
}
}
return sk;
@@ -512,6 +524,20 @@ static int check_chain_extensions(X509_STORE_CTX *ctx)
ret = 1;
break;
}
+ if ((ctx->param->flags & X509_V_FLAG_X509_STRICT) && num > 1) {
+ /* Check for presence of explicit elliptic curve parameters */
+ ret = check_curve(x);
+ if (ret < 0)
+ ctx->error = X509_V_ERR_UNSPECIFIED;
+ else if (ret == 0)
+ ctx->error = X509_V_ERR_EC_KEY_EXPLICIT_PARAMS;
+ }
+ if ((x->ex_flags & EXFLAG_CA) == 0
+ && x->ex_pathlen != -1
+ && (ctx->param->flags & X509_V_FLAG_X509_STRICT)) {
+ ctx->error = X509_V_ERR_INVALID_EXTENSION;
+ ret = 0;
+ }
if (ret == 0 && !verify_cb_cert(ctx, x, i, X509_V_OK))
return 0;
/* check_purpose() makes the callback as needed */
@@ -1697,6 +1723,7 @@ int x509_check_cert_time(X509_STORE_CTX *ctx, X509 *x, int depth)
return 1;
}
+/* verify the issuer signatures and cert times of ctx->chain */
static int internal_verify(X509_STORE_CTX *ctx)
{
int n = sk_X509_num(ctx->chain) - 1;
@@ -1711,19 +1738,25 @@ static int internal_verify(X509_STORE_CTX *ctx)
if (ctx->bare_ta_signed) {
xs = xi;
xi = NULL;
- goto check_cert;
+ goto check_cert_time;
}
if (ctx->check_issued(ctx, xi, xi))
- xs = xi;
+ xs = xi; /* the typical case: last cert in the chain is self-issued */
else {
if (ctx->param->flags & X509_V_FLAG_PARTIAL_CHAIN) {
xs = xi;
- goto check_cert;
+ goto check_cert_time;
}
- if (n <= 0)
- return verify_cb_cert(ctx, xi, 0,
- X509_V_ERR_UNABLE_TO_VERIFY_LEAF_SIGNATURE);
+ if (n <= 0) {
+ if (!verify_cb_cert(ctx, xi, 0,
+ X509_V_ERR_UNABLE_TO_VERIFY_LEAF_SIGNATURE))
+ return 0;
+
+ xs = xi;
+ goto check_cert_time;
+ }
+
n--;
ctx->error_depth = n;
xs = sk_X509_value(ctx->chain, n);
@@ -1734,27 +1767,55 @@ static int internal_verify(X509_STORE_CTX *ctx)
* is allowed to reset errors (at its own peril).
*/
while (n >= 0) {
- EVP_PKEY *pkey;
-
/*
- * Skip signature check for self signed certificates unless explicitly
- * asked for. It doesn't add any security and just wastes time. If
- * the issuer's public key is unusable, report the issuer certificate
- * and its depth (rather than the depth of the subject).
+ * For each iteration of this loop:
+ * n is the subject depth
+ * xs is the subject cert, for which the signature is to be checked
+ * xi is the supposed issuer cert containing the public key to use
+ * Initially xs == xi if the last cert in the chain is self-issued.
+ *
+ * Skip signature check for self-signed certificates unless explicitly
+ * asked for because it does not add any security and just wastes time.
*/
- if (xs != xi || (ctx->param->flags & X509_V_FLAG_CHECK_SS_SIGNATURE)) {
+ if (xs != xi || ((ctx->param->flags & X509_V_FLAG_CHECK_SS_SIGNATURE)
+ && (xi->ex_flags & EXFLAG_SS) != 0)) {
+ EVP_PKEY *pkey;
+ /*
+ * If the issuer's public key is not available or its key usage
+ * does not support issuing the subject cert, report the issuer
+ * cert and its depth (rather than n, the depth of the subject).
+ */
+ int issuer_depth = n + (xs == xi ? 0 : 1);
+ /*
+ * According to https://tools.ietf.org/html/rfc5280#section-6.1.4
+ * step (n) we must check any given key usage extension in a CA cert
+ * when preparing the verification of a certificate issued by it.
+ * According to https://tools.ietf.org/html/rfc5280#section-4.2.1.3
+ * we must not verify a certifiate signature if the key usage of the
+ * CA certificate that issued the certificate prohibits signing.
+ * In case the 'issuing' certificate is the last in the chain and is
+ * not a CA certificate but a 'self-issued' end-entity cert (i.e.,
+ * xs == xi && !(xi->ex_flags & EXFLAG_CA)) RFC 5280 does not apply
+ * (see https://tools.ietf.org/html/rfc6818#section-2) and thus
+ * we are free to ignore any key usage restrictions on such certs.
+ */
+ int ret = xs == xi && (xi->ex_flags & EXFLAG_CA) == 0
+ ? X509_V_OK : x509_signing_allowed(xi, xs);
+
+ if (ret != X509_V_OK && !verify_cb_cert(ctx, xi, issuer_depth, ret))
+ return 0;
if ((pkey = X509_get0_pubkey(xi)) == NULL) {
- if (!verify_cb_cert(ctx, xi, xi != xs ? n+1 : n,
- X509_V_ERR_UNABLE_TO_DECODE_ISSUER_PUBLIC_KEY))
+ ret = X509_V_ERR_UNABLE_TO_DECODE_ISSUER_PUBLIC_KEY;
+ if (!verify_cb_cert(ctx, xi, issuer_depth, ret))
return 0;
} else if (X509_verify(xs, pkey) <= 0) {
- if (!verify_cb_cert(ctx, xs, n,
- X509_V_ERR_CERT_SIGNATURE_FAILURE))
+ ret = X509_V_ERR_CERT_SIGNATURE_FAILURE;
+ if (!verify_cb_cert(ctx, xs, n, ret))
return 0;
}
}
- check_cert:
+ check_cert_time: /* in addition to RFC 5280, do also for trusted (root) cert */
/* Calls verify callback as needed */
if (!x509_check_cert_time(ctx, xs, n))
return 0;
@@ -3156,7 +3217,16 @@ static int build_chain(X509_STORE_CTX *ctx)
/* Drop this issuer from future consideration */
(void) sk_X509_delete_ptr(sktmp, xtmp);
+ if (!X509_up_ref(xtmp)) {
+ X509err(X509_F_BUILD_CHAIN, ERR_R_INTERNAL_ERROR);
+ trust = X509_TRUST_REJECTED;
+ ctx->error = X509_V_ERR_UNSPECIFIED;
+ search = 0;
+ continue;
+ }
+
if (!sk_X509_push(ctx->chain, xtmp)) {
+ X509_free(xtmp);
X509err(X509_F_BUILD_CHAIN, ERR_R_MALLOC_FAILURE);
trust = X509_TRUST_REJECTED;
ctx->error = X509_V_ERR_OUT_OF_MEM;
@@ -3164,7 +3234,7 @@ static int build_chain(X509_STORE_CTX *ctx)
continue;
}
- X509_up_ref(x = xtmp);
+ x = xtmp;
++ctx->num_untrusted;
ss = cert_self_signed(xtmp);
@@ -3255,6 +3325,32 @@ static int check_key_level(X509_STORE_CTX *ctx, X509 *cert)
return EVP_PKEY_security_bits(pkey) >= minbits_table[level - 1];
}
+/*
+ * Check whether the public key of ``cert`` does not use explicit params
+ * for an elliptic curve.
+ *
+ * Returns 1 on success, 0 if check fails, -1 for other errors.
+ */
+static int check_curve(X509 *cert)
+{
+#ifndef OPENSSL_NO_EC
+ EVP_PKEY *pkey = X509_get0_pubkey(cert);
+
+ /* Unsupported or malformed key */
+ if (pkey == NULL)
+ return -1;
+
+ if (EVP_PKEY_id(pkey) == EVP_PKEY_EC) {
+ int ret;
+
+ ret = EC_KEY_decoded_from_explicit_params(EVP_PKEY_get0_EC_KEY(pkey));
+ return ret < 0 ? ret : !ret;
+ }
+#endif
+
+ return 1;
+}
+
/*
* Check whether the signature digest algorithm of ``cert`` meets the security
* level of ``ctx``. Should not be checked for trust anchors (whether
diff --git a/crypto/x509/x509_vpm.c b/crypto/x509/x509_vpm.c
index aea18629..68b681d5 100644
--- a/crypto/x509/x509_vpm.c
+++ b/crypto/x509/x509_vpm.c
@@ -14,9 +14,9 @@
#include <openssl/buffer.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
-#include "x509_lcl.h"
+#include "x509_local.h"
/* X509_VERIFY_PARAM functions */
diff --git a/crypto/x509/x509cset.c b/crypto/x509/x509cset.c
index 7645ce37..6c085091 100644
--- a/crypto/x509/x509cset.c
+++ b/crypto/x509/x509cset.c
@@ -14,7 +14,7 @@
#include <openssl/objects.h>
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
int X509_CRL_set_version(X509_CRL *x, long version)
{
diff --git a/crypto/x509/x509name.c b/crypto/x509/x509name.c
index 64a73e79..c86d8e79 100644
--- a/crypto/x509/x509name.c
+++ b/crypto/x509/x509name.c
@@ -14,7 +14,7 @@
#include <openssl/objects.h>
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
int X509_NAME_get_text_by_NID(X509_NAME *name, int nid, char *buf, int len)
{
diff --git a/crypto/x509/x509rset.c b/crypto/x509/x509rset.c
index e8921b82..9da3f2ee 100644
--- a/crypto/x509/x509rset.c
+++ b/crypto/x509/x509rset.c
@@ -13,7 +13,7 @@
#include <openssl/objects.h>
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
int X509_REQ_set_version(X509_REQ *x, long version)
{
diff --git a/crypto/x509/x_all.c b/crypto/x509/x_all.c
index 24e41146..a4e9cdae 100644
--- a/crypto/x509/x_all.c
+++ b/crypto/x509/x_all.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -13,7 +13,7 @@
#include <openssl/asn1.h>
#include <openssl/evp.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/ocsp.h>
#include <openssl/rsa.h>
#include <openssl/dsa.h>
@@ -362,7 +362,8 @@ int X509_pubkey_digest(const X509 *data, const EVP_MD *type,
int X509_digest(const X509 *data, const EVP_MD *type, unsigned char *md,
unsigned int *len)
{
- if (type == EVP_sha1() && (data->ex_flags & EXFLAG_SET) != 0) {
+ if (type == EVP_sha1() && (data->ex_flags & EXFLAG_SET) != 0
+ && (data->ex_flags & EXFLAG_NO_FINGERPRINT) == 0) {
/* Asking for SHA1 and we already computed it. */
if (len != NULL)
*len = sizeof(data->sha1_hash);
@@ -376,7 +377,8 @@ int X509_digest(const X509 *data, const EVP_MD *type, unsigned char *md,
int X509_CRL_digest(const X509_CRL *data, const EVP_MD *type,
unsigned char *md, unsigned int *len)
{
- if (type == EVP_sha1() && (data->flags & EXFLAG_SET) != 0) {
+ if (type == EVP_sha1() && (data->flags & EXFLAG_SET) != 0
+ && (data->flags & EXFLAG_INVALID) == 0) {
/* Asking for SHA1; always computed in CRL d2i. */
if (len != NULL)
*len = sizeof(data->sha1_hash);
diff --git a/crypto/x509/x_attrib.c b/crypto/x509/x_attrib.c
index 9a41e547..7342c4f6 100644
--- a/crypto/x509/x_attrib.c
+++ b/crypto/x509/x_attrib.c
@@ -12,7 +12,7 @@
#include <openssl/objects.h>
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
/*-
* X509_ATTRIBUTE: this has the following form:
@@ -37,10 +37,13 @@ X509_ATTRIBUTE *X509_ATTRIBUTE_create(int nid, int atrtype, void *value)
{
X509_ATTRIBUTE *ret = NULL;
ASN1_TYPE *val = NULL;
+ ASN1_OBJECT *oid;
+ if ((oid = OBJ_nid2obj(nid)) == NULL)
+ return NULL;
if ((ret = X509_ATTRIBUTE_new()) == NULL)
return NULL;
- ret->object = OBJ_nid2obj(nid);
+ ret->object = oid;
if ((val = ASN1_TYPE_new()) == NULL)
goto err;
if (!sk_ASN1_TYPE_push(ret->set, val))
diff --git a/crypto/x509/x_crl.c b/crypto/x509/x_crl.c
index 12ab3cca..c9762f9e 100644
--- a/crypto/x509/x_crl.c
+++ b/crypto/x509/x_crl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,13 +11,13 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/x509v3.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
static int X509_REVOKED_cmp(const X509_REVOKED *const *a,
const X509_REVOKED *const *b);
-static void setup_idp(X509_CRL *crl, ISSUING_DIST_POINT *idp);
+static int setup_idp(X509_CRL *crl, ISSUING_DIST_POINT *idp);
ASN1_SEQUENCE(X509_REVOKED) = {
ASN1_EMBED(X509_REVOKED,serialNumber, ASN1_INTEGER),
@@ -155,7 +155,7 @@ static int crl_cb(int operation, ASN1_VALUE **pval, const ASN1_ITEM *it,
X509_CRL *crl = (X509_CRL *)*pval;
STACK_OF(X509_EXTENSION) *exts;
X509_EXTENSION *ext;
- int idx;
+ int idx, i;
switch (operation) {
case ASN1_OP_D2I_PRE:
@@ -184,23 +184,35 @@ static int crl_cb(int operation, ASN1_VALUE **pval, const ASN1_ITEM *it,
break;
case ASN1_OP_D2I_POST:
- X509_CRL_digest(crl, EVP_sha1(), crl->sha1_hash, NULL);
+ if (!X509_CRL_digest(crl, EVP_sha1(), crl->sha1_hash, NULL))
+ crl->flags |= EXFLAG_INVALID;
crl->idp = X509_CRL_get_ext_d2i(crl,
- NID_issuing_distribution_point, NULL,
+ NID_issuing_distribution_point, &i,
NULL);
- if (crl->idp)
- setup_idp(crl, crl->idp);
+ if (crl->idp != NULL) {
+ if (!setup_idp(crl, crl->idp))
+ crl->flags |= EXFLAG_INVALID;
+ }
+ else if (i != -1) {
+ crl->flags |= EXFLAG_INVALID;
+ }
crl->akid = X509_CRL_get_ext_d2i(crl,
- NID_authority_key_identifier, NULL,
+ NID_authority_key_identifier, &i,
NULL);
+ if (crl->akid == NULL && i != -1)
+ crl->flags |= EXFLAG_INVALID;
crl->crl_number = X509_CRL_get_ext_d2i(crl,
- NID_crl_number, NULL, NULL);
+ NID_crl_number, &i, NULL);
+ if (crl->crl_number == NULL && i != -1)
+ crl->flags |= EXFLAG_INVALID;
crl->base_crl_number = X509_CRL_get_ext_d2i(crl,
- NID_delta_crl, NULL,
+ NID_delta_crl, &i,
NULL);
+ if (crl->base_crl_number == NULL && i != -1)
+ crl->flags |= EXFLAG_INVALID;
/* Delta CRLs must have CRL number */
if (crl->base_crl_number && !crl->crl_number)
crl->flags |= EXFLAG_INVALID;
@@ -259,9 +271,10 @@ static int crl_cb(int operation, ASN1_VALUE **pval, const ASN1_ITEM *it,
/* Convert IDP into a more convenient form */
-static void setup_idp(X509_CRL *crl, ISSUING_DIST_POINT *idp)
+static int setup_idp(X509_CRL *crl, ISSUING_DIST_POINT *idp)
{
int idp_only = 0;
+
/* Set various flags according to IDP */
crl->idp_flags |= IDP_PRESENT;
if (idp->onlyuser > 0) {
@@ -292,7 +305,7 @@ static void setup_idp(X509_CRL *crl, ISSUING_DIST_POINT *idp)
crl->idp_reasons &= CRLDP_ALL_REASONS;
}
- DIST_POINT_set_dpname(idp->distpoint, X509_CRL_get_issuer(crl));
+ return DIST_POINT_set_dpname(idp->distpoint, X509_CRL_get_issuer(crl));
}
ASN1_SEQUENCE_ref(X509_CRL, crl_cb) = {
diff --git a/crypto/x509/x_exten.c b/crypto/x509/x_exten.c
index f10f4a4d..bd7518ef 100644
--- a/crypto/x509/x_exten.c
+++ b/crypto/x509/x_exten.c
@@ -11,7 +11,7 @@
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
-#include "x509_lcl.h"
+#include "x509_local.h"
ASN1_SEQUENCE(X509_EXTENSION) = {
ASN1_SIMPLE(X509_EXTENSION, object, ASN1_OBJECT),
diff --git a/crypto/x509/x_name.c b/crypto/x509/x_name.c
index a1e9bbdb..aa7f4722 100644
--- a/crypto/x509/x_name.c
+++ b/crypto/x509/x_name.c
@@ -8,13 +8,13 @@
*/
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
-#include "internal/asn1_int.h"
-#include "x509_lcl.h"
+#include "crypto/x509.h"
+#include "crypto/asn1.h"
+#include "x509_local.h"
/*
* Maximum length of X509_NAME: much larger than anything we should
diff --git a/crypto/x509/x_pubkey.c b/crypto/x509/x_pubkey.c
index 1c87b826..9be7e928 100644
--- a/crypto/x509/x_pubkey.c
+++ b/crypto/x509/x_pubkey.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,9 +11,9 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/asn1_int.h"
-#include "internal/evp_int.h"
-#include "internal/x509_int.h"
+#include "crypto/asn1.h"
+#include "crypto/evp.h"
+#include "crypto/x509.h"
#include <openssl/rsa.h>
#include <openssl/dsa.h>
@@ -169,8 +169,11 @@ EVP_PKEY *X509_PUBKEY_get0(X509_PUBKEY *key)
EVP_PKEY *X509_PUBKEY_get(X509_PUBKEY *key)
{
EVP_PKEY *ret = X509_PUBKEY_get0(key);
- if (ret != NULL)
- EVP_PKEY_up_ref(ret);
+
+ if (ret != NULL && !EVP_PKEY_up_ref(ret)) {
+ X509err(X509_F_X509_PUBKEY_GET, ERR_R_INTERNAL_ERROR);
+ ret = NULL;
+ }
return ret;
}
diff --git a/crypto/x509/x_req.c b/crypto/x509/x_req.c
index c2da95a7..d2b02f6d 100644
--- a/crypto/x509/x_req.c
+++ b/crypto/x509/x_req.c
@@ -11,7 +11,7 @@
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
/*-
* X509_REQ_INFO is handled in an unusual way to get round
diff --git a/crypto/x509/x_x509.c b/crypto/x509/x_x509.c
index afe59c46..7aa8b77a 100644
--- a/crypto/x509/x_x509.c
+++ b/crypto/x509/x_x509.c
@@ -13,7 +13,7 @@
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
ASN1_SEQUENCE_enc(X509_CINF, enc, 0) = {
ASN1_EXP_OPT(X509_CINF, version, ASN1_INTEGER, 0),
diff --git a/crypto/x509/x_x509a.c b/crypto/x509/x_x509a.c
index 8c9ad71d..c5175fae 100644
--- a/crypto/x509/x_x509a.c
+++ b/crypto/x509/x_x509a.c
@@ -12,7 +12,7 @@
#include <openssl/evp.h>
#include <openssl/asn1t.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
/*
* X509_CERT_AUX routines. These are used to encode additional user
diff --git a/crypto/x509v3/pcy_cache.c b/crypto/x509v3/pcy_cache.c
index 623870b1..04401bac 100644
--- a/crypto/x509v3/pcy_cache.c
+++ b/crypto/x509v3/pcy_cache.c
@@ -10,9 +10,9 @@
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
-#include "pcy_int.h"
+#include "pcy_local.h"
static int policy_data_cmp(const X509_POLICY_DATA *const *a,
const X509_POLICY_DATA *const *b);
diff --git a/crypto/x509v3/pcy_data.c b/crypto/x509v3/pcy_data.c
index bd3bb0e4..8c7bc695 100644
--- a/crypto/x509v3/pcy_data.c
+++ b/crypto/x509v3/pcy_data.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2004-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,7 +11,7 @@
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "pcy_int.h"
+#include "pcy_local.h"
/* Policy Node routines */
@@ -52,6 +52,7 @@ X509_POLICY_DATA *policy_data_new(POLICYINFO *policy,
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL) {
X509V3err(X509V3_F_POLICY_DATA_NEW, ERR_R_MALLOC_FAILURE);
+ ASN1_OBJECT_free(id);
return NULL;
}
ret->expected_policy_set = sk_ASN1_OBJECT_new_null();
diff --git a/crypto/x509v3/pcy_lib.c b/crypto/x509v3/pcy_lib.c
index 67f7eafc..2e196b83 100644
--- a/crypto/x509v3/pcy_lib.c
+++ b/crypto/x509v3/pcy_lib.c
@@ -11,7 +11,7 @@
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "pcy_int.h"
+#include "pcy_local.h"
/* accessor functions */
diff --git a/crypto/x509v3/pcy_int.h b/crypto/x509v3/pcy_local.h
similarity index 100%
rename from crypto/x509v3/pcy_int.h
rename to crypto/x509v3/pcy_local.h
diff --git a/crypto/x509v3/pcy_map.c b/crypto/x509v3/pcy_map.c
index ab9dd21b..ae2a62c9 100644
--- a/crypto/x509v3/pcy_map.c
+++ b/crypto/x509v3/pcy_map.c
@@ -10,9 +10,9 @@
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
-#include "pcy_int.h"
+#include "pcy_local.h"
/*
* Set policy mapping entries in cache. Note: this modifies the passed
diff --git a/crypto/x509v3/pcy_node.c b/crypto/x509v3/pcy_node.c
index 1ffe9849..e2d7b153 100644
--- a/crypto/x509v3/pcy_node.c
+++ b/crypto/x509v3/pcy_node.c
@@ -12,7 +12,7 @@
#include <openssl/x509v3.h>
#include <openssl/err.h>
-#include "pcy_int.h"
+#include "pcy_local.h"
static int node_cmp(const X509_POLICY_NODE *const *a,
const X509_POLICY_NODE *const *b)
diff --git a/crypto/x509v3/pcy_tree.c b/crypto/x509v3/pcy_tree.c
index 87f51d00..6e8322cb 100644
--- a/crypto/x509v3/pcy_tree.c
+++ b/crypto/x509v3/pcy_tree.c
@@ -11,7 +11,7 @@
#include <openssl/x509.h>
#include <openssl/x509v3.h>
-#include "pcy_int.h"
+#include "pcy_local.h"
/*
* Enable this to print out the complete policy tree at various point during
diff --git a/crypto/x509v3/v3_addr.c b/crypto/x509v3/v3_addr.c
index bb58e048..4258dbc4 100644
--- a/crypto/x509v3/v3_addr.c
+++ b/crypto/x509v3/v3_addr.c
@@ -20,7 +20,7 @@
#include <openssl/asn1t.h>
#include <openssl/buffer.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include "ext_dat.h"
#ifndef OPENSSL_NO_RFC3779
diff --git a/crypto/x509v3/v3_admis.h b/crypto/x509v3/v3_admis.h
index fa23fc76..ea7632b3 100644
--- a/crypto/x509v3/v3_admis.h
+++ b/crypto/x509v3/v3_admis.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_V3_ADMISSION_H
-# define HEADER_V3_ADMISSION_H
+#ifndef OSSL_CRYPTO_X509V3_V3_ADMIS_H
+# define OSSL_CRYPTO_X509V3_V3_ADMIS_H
struct NamingAuthority_st {
ASN1_OBJECT* namingAuthorityId;
diff --git a/crypto/x509v3/v3_alt.c b/crypto/x509v3/v3_alt.c
index dfcb9094..4dce0041 100644
--- a/crypto/x509v3/v3_alt.c
+++ b/crypto/x509v3/v3_alt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -52,11 +52,24 @@ STACK_OF(CONF_VALUE) *i2v_GENERAL_NAMES(X509V3_EXT_METHOD *method,
{
int i;
GENERAL_NAME *gen;
+ STACK_OF(CONF_VALUE) *tmpret = NULL, *origret = ret;
+
for (i = 0; i < sk_GENERAL_NAME_num(gens); i++) {
gen = sk_GENERAL_NAME_value(gens, i);
- ret = i2v_GENERAL_NAME(method, gen, ret);
+ /*
+ * i2v_GENERAL_NAME allocates ret if it is NULL. If something goes
+ * wrong we need to free the stack - but only if it was empty when we
+ * originally entered this function.
+ */
+ tmpret = i2v_GENERAL_NAME(method, gen, ret);
+ if (tmpret == NULL) {
+ if (origret == NULL)
+ sk_CONF_VALUE_pop_free(ret, X509V3_conf_free);
+ return NULL;
+ }
+ ret = tmpret;
}
- if (!ret)
+ if (ret == NULL)
return sk_CONF_VALUE_new_null();
return ret;
}
@@ -262,6 +275,7 @@ static int copy_issuer(X509V3_CTX *ctx, GENERAL_NAMES *gens)
num = sk_GENERAL_NAME_num(ialt);
if (!sk_GENERAL_NAME_reserve(gens, num)) {
X509V3err(X509V3_F_COPY_ISSUER, ERR_R_MALLOC_FAILURE);
+ sk_GENERAL_NAME_free(ialt);
goto err;
}
diff --git a/crypto/x509v3/v3_asid.c b/crypto/x509v3/v3_asid.c
index 089f2ae2..ac685726 100644
--- a/crypto/x509v3/v3_asid.c
+++ b/crypto/x509v3/v3_asid.c
@@ -20,7 +20,7 @@
#include <openssl/asn1t.h>
#include <openssl/x509v3.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/bn.h>
#include "ext_dat.h"
@@ -256,6 +256,7 @@ static int extract_min_max(ASIdOrRange *aor,
static int ASIdentifierChoice_is_canonical(ASIdentifierChoice *choice)
{
ASN1_INTEGER *a_max_plus_one = NULL;
+ ASN1_INTEGER *orig;
BIGNUM *bn = NULL;
int i, ret = 0;
@@ -298,9 +299,15 @@ static int ASIdentifierChoice_is_canonical(ASIdentifierChoice *choice)
*/
if ((bn == NULL && (bn = BN_new()) == NULL) ||
ASN1_INTEGER_to_BN(a_max, bn) == NULL ||
- !BN_add_word(bn, 1) ||
- (a_max_plus_one =
- BN_to_ASN1_INTEGER(bn, a_max_plus_one)) == NULL) {
+ !BN_add_word(bn, 1)) {
+ X509V3err(X509V3_F_ASIDENTIFIERCHOICE_IS_CANONICAL,
+ ERR_R_MALLOC_FAILURE);
+ goto done;
+ }
+
+ if ((a_max_plus_one =
+ BN_to_ASN1_INTEGER(bn, orig = a_max_plus_one)) == NULL) {
+ a_max_plus_one = orig;
X509V3err(X509V3_F_ASIDENTIFIERCHOICE_IS_CANONICAL,
ERR_R_MALLOC_FAILURE);
goto done;
@@ -351,6 +358,7 @@ int X509v3_asid_is_canonical(ASIdentifiers *asid)
static int ASIdentifierChoice_canonize(ASIdentifierChoice *choice)
{
ASN1_INTEGER *a_max_plus_one = NULL;
+ ASN1_INTEGER *orig;
BIGNUM *bn = NULL;
int i, ret = 0;
@@ -416,9 +424,15 @@ static int ASIdentifierChoice_canonize(ASIdentifierChoice *choice)
*/
if ((bn == NULL && (bn = BN_new()) == NULL) ||
ASN1_INTEGER_to_BN(a_max, bn) == NULL ||
- !BN_add_word(bn, 1) ||
- (a_max_plus_one =
- BN_to_ASN1_INTEGER(bn, a_max_plus_one)) == NULL) {
+ !BN_add_word(bn, 1)) {
+ X509V3err(X509V3_F_ASIDENTIFIERCHOICE_CANONIZE,
+ ERR_R_MALLOC_FAILURE);
+ goto done;
+ }
+
+ if ((a_max_plus_one =
+ BN_to_ASN1_INTEGER(bn, orig = a_max_plus_one)) == NULL) {
+ a_max_plus_one = orig;
X509V3err(X509V3_F_ASIDENTIFIERCHOICE_CANONIZE,
ERR_R_MALLOC_FAILURE);
goto done;
diff --git a/crypto/x509v3/v3_conf.c b/crypto/x509v3/v3_conf.c
index 7acaebfa..e93de345 100644
--- a/crypto/x509v3/v3_conf.c
+++ b/crypto/x509v3/v3_conf.c
@@ -10,11 +10,11 @@
/* extension creation utilities */
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/conf.h>
#include <openssl/x509.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/x509v3.h>
static int v3_check_critical(const char **value);
diff --git a/crypto/x509v3/v3_cpols.c b/crypto/x509v3/v3_cpols.c
index 7a47fd38..1d12c899 100644
--- a/crypto/x509v3/v3_cpols.c
+++ b/crypto/x509v3/v3_cpols.c
@@ -14,7 +14,7 @@
#include <openssl/asn1t.h>
#include <openssl/x509v3.h>
-#include "pcy_int.h"
+#include "pcy_local.h"
#include "ext_dat.h"
/* Certificate policies extension support: this one is a bit complex... */
diff --git a/crypto/x509v3/v3_crld.c b/crypto/x509v3/v3_crld.c
index 6cba4240..4854748f 100644
--- a/crypto/x509v3/v3_crld.c
+++ b/crypto/x509v3/v3_crld.c
@@ -14,7 +14,7 @@
#include <openssl/asn1t.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include "ext_dat.h"
static void *v2i_crld(const X509V3_EXT_METHOD *method,
diff --git a/crypto/x509v3/v3_genn.c b/crypto/x509v3/v3_genn.c
index 23e3bc45..87a5eff4 100644
--- a/crypto/x509v3/v3_genn.c
+++ b/crypto/x509v3/v3_genn.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -22,8 +22,9 @@ ASN1_SEQUENCE(OTHERNAME) = {
IMPLEMENT_ASN1_FUNCTIONS(OTHERNAME)
ASN1_SEQUENCE(EDIPARTYNAME) = {
- ASN1_IMP_OPT(EDIPARTYNAME, nameAssigner, DIRECTORYSTRING, 0),
- ASN1_IMP_OPT(EDIPARTYNAME, partyName, DIRECTORYSTRING, 1)
+ /* DirectoryString is a CHOICE type so use explicit tagging */
+ ASN1_EXP_OPT(EDIPARTYNAME, nameAssigner, DIRECTORYSTRING, 0),
+ ASN1_EXP(EDIPARTYNAME, partyName, DIRECTORYSTRING, 1)
} ASN1_SEQUENCE_END(EDIPARTYNAME)
IMPLEMENT_ASN1_FUNCTIONS(EDIPARTYNAME)
@@ -57,6 +58,37 @@ GENERAL_NAME *GENERAL_NAME_dup(GENERAL_NAME *a)
(char *)a);
}
+static int edipartyname_cmp(const EDIPARTYNAME *a, const EDIPARTYNAME *b)
+{
+ int res;
+
+ if (a == NULL || b == NULL) {
+ /*
+ * Shouldn't be possible in a valid GENERAL_NAME, but we handle it
+ * anyway. OTHERNAME_cmp treats NULL != NULL so we do the same here
+ */
+ return -1;
+ }
+ if (a->nameAssigner == NULL && b->nameAssigner != NULL)
+ return -1;
+ if (a->nameAssigner != NULL && b->nameAssigner == NULL)
+ return 1;
+ /* If we get here then both have nameAssigner set, or both unset */
+ if (a->nameAssigner != NULL) {
+ res = ASN1_STRING_cmp(a->nameAssigner, b->nameAssigner);
+ if (res != 0)
+ return res;
+ }
+ /*
+ * partyName is required, so these should never be NULL. We treat it in
+ * the same way as the a == NULL || b == NULL case above
+ */
+ if (a->partyName == NULL || b->partyName == NULL)
+ return -1;
+
+ return ASN1_STRING_cmp(a->partyName, b->partyName);
+}
+
/* Returns 0 if they are equal, != 0 otherwise. */
int GENERAL_NAME_cmp(GENERAL_NAME *a, GENERAL_NAME *b)
{
@@ -66,8 +98,11 @@ int GENERAL_NAME_cmp(GENERAL_NAME *a, GENERAL_NAME *b)
return -1;
switch (a->type) {
case GEN_X400:
+ result = ASN1_TYPE_cmp(a->d.x400Address, b->d.x400Address);
+ break;
+
case GEN_EDIPARTY:
- result = ASN1_TYPE_cmp(a->d.other, b->d.other);
+ result = edipartyname_cmp(a->d.ediPartyName, b->d.ediPartyName);
break;
case GEN_OTHERNAME:
@@ -114,8 +149,11 @@ void GENERAL_NAME_set0_value(GENERAL_NAME *a, int type, void *value)
{
switch (type) {
case GEN_X400:
+ a->d.x400Address = value;
+ break;
+
case GEN_EDIPARTY:
- a->d.other = value;
+ a->d.ediPartyName = value;
break;
case GEN_OTHERNAME:
@@ -149,8 +187,10 @@ void *GENERAL_NAME_get0_value(const GENERAL_NAME *a, int *ptype)
*ptype = a->type;
switch (a->type) {
case GEN_X400:
+ return a->d.x400Address;
+
case GEN_EDIPARTY:
- return a->d.other;
+ return a->d.ediPartyName;
case GEN_OTHERNAME:
return a->d.otherName;
diff --git a/crypto/x509v3/v3_ncons.c b/crypto/x509v3/v3_ncons.c
index 9a2cd5af..2a7b4f09 100644
--- a/crypto/x509v3/v3_ncons.c
+++ b/crypto/x509v3/v3_ncons.c
@@ -10,12 +10,12 @@
#include "internal/cryptlib.h"
#include "internal/numbers.h"
#include <stdio.h>
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
#include <openssl/asn1t.h>
#include <openssl/conf.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include "ext_dat.h"
static void *v2i_NAME_CONSTRAINTS(const X509V3_EXT_METHOD *method,
diff --git a/crypto/x509v3/v3_purp.c b/crypto/x509v3/v3_purp.c
index 2f06289d..a1aeb4e4 100644
--- a/crypto/x509v3/v3_purp.c
+++ b/crypto/x509v3/v3_purp.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,7 +12,8 @@
#include "internal/numbers.h"
#include <openssl/x509v3.h>
#include <openssl/x509_vfy.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
+#include "../x509/x509_local.h" /* for x509_signing_allowed() */
#include "internal/tsan_assist.h"
static void x509v3_cache_extensions(X509 *x);
@@ -81,6 +82,8 @@ int X509_check_purpose(X509 *x, int id, int ca)
const X509_PURPOSE *pt;
x509v3_cache_extensions(x);
+ if (x->ex_flags & EXFLAG_INVALID)
+ return -1;
/* Return if side-effect only call */
if (id == -1)
@@ -300,10 +303,11 @@ int X509_supported_extension(X509_EXTENSION *ex)
return 0;
}
-static void setup_dp(X509 *x, DIST_POINT *dp)
+static int setup_dp(X509 *x, DIST_POINT *dp)
{
X509_NAME *iname = NULL;
int i;
+
if (dp->reasons) {
if (dp->reasons->length > 0)
dp->dp_reasons = dp->reasons->data[0];
@@ -313,7 +317,7 @@ static void setup_dp(X509 *x, DIST_POINT *dp)
} else
dp->dp_reasons = CRLDP_ALL_REASONS;
if (!dp->distpoint || (dp->distpoint->type != 1))
- return;
+ return 1;
for (i = 0; i < sk_GENERAL_NAME_num(dp->CRLissuer); i++) {
GENERAL_NAME *gen = sk_GENERAL_NAME_value(dp->CRLissuer, i);
if (gen->type == GEN_DIRNAME) {
@@ -324,16 +328,39 @@ static void setup_dp(X509 *x, DIST_POINT *dp)
if (!iname)
iname = X509_get_issuer_name(x);
- DIST_POINT_set_dpname(dp->distpoint, iname);
-
+ return DIST_POINT_set_dpname(dp->distpoint, iname);
}
-static void setup_crldp(X509 *x)
+static int setup_crldp(X509 *x)
{
int i;
- x->crldp = X509_get_ext_d2i(x, NID_crl_distribution_points, NULL, NULL);
- for (i = 0; i < sk_DIST_POINT_num(x->crldp); i++)
- setup_dp(x, sk_DIST_POINT_value(x->crldp, i));
+
+ x->crldp = X509_get_ext_d2i(x, NID_crl_distribution_points, &i, NULL);
+ if (x->crldp == NULL && i != -1)
+ return 0;
+ for (i = 0; i < sk_DIST_POINT_num(x->crldp); i++) {
+ if (!setup_dp(x, sk_DIST_POINT_value(x->crldp, i)))
+ return 0;
+ }
+ return 1;
+}
+
+/* Check that issuer public key algorithm matches subject signature algorithm */
+static int check_sig_alg_match(const EVP_PKEY *pkey, const X509 *subject)
+{
+ int pkey_sig_nid, subj_sig_nid;
+
+ if (pkey == NULL)
+ return X509_V_ERR_NO_ISSUER_PUBLIC_KEY;
+ if (OBJ_find_sigid_algs(EVP_PKEY_base_id(pkey),
+ NULL, &pkey_sig_nid) == 0)
+ pkey_sig_nid = EVP_PKEY_base_id(pkey);
+ if (OBJ_find_sigid_algs(OBJ_obj2nid(subject->cert_info.signature.algorithm),
+ NULL, &subj_sig_nid) == 0)
+ return X509_V_ERR_UNSUPPORTED_SIGNATURE_ALGORITHM;
+ if (pkey_sig_nid != EVP_PKEY_type(subj_sig_nid))
+ return X509_V_ERR_SIGNATURE_ALGORITHM_MISMATCH;
+ return X509_V_OK;
}
#define V1_ROOT (EXFLAG_V1|EXFLAG_SS)
@@ -366,28 +393,36 @@ static void x509v3_cache_extensions(X509 *x)
return;
}
- X509_digest(x, EVP_sha1(), x->sha1_hash, NULL);
+ if (!X509_digest(x, EVP_sha1(), x->sha1_hash, NULL))
+ x->ex_flags |= (EXFLAG_NO_FINGERPRINT | EXFLAG_INVALID);
+
/* V1 should mean no extensions ... */
if (!X509_get_version(x))
x->ex_flags |= EXFLAG_V1;
/* Handle basic constraints */
- if ((bs = X509_get_ext_d2i(x, NID_basic_constraints, NULL, NULL))) {
+ if ((bs = X509_get_ext_d2i(x, NID_basic_constraints, &i, NULL))) {
if (bs->ca)
x->ex_flags |= EXFLAG_CA;
if (bs->pathlen) {
- if ((bs->pathlen->type == V_ASN1_NEG_INTEGER)
- || !bs->ca) {
+ if (bs->pathlen->type == V_ASN1_NEG_INTEGER) {
x->ex_flags |= EXFLAG_INVALID;
x->ex_pathlen = 0;
- } else
+ } else {
x->ex_pathlen = ASN1_INTEGER_get(bs->pathlen);
+ if (!bs->ca && x->ex_pathlen != 0) {
+ x->ex_flags |= EXFLAG_INVALID;
+ x->ex_pathlen = 0;
+ }
+ }
} else
x->ex_pathlen = -1;
BASIC_CONSTRAINTS_free(bs);
x->ex_flags |= EXFLAG_BCONS;
+ } else if (i != -1) {
+ x->ex_flags |= EXFLAG_INVALID;
}
/* Handle proxy certificates */
- if ((pci = X509_get_ext_d2i(x, NID_proxyCertInfo, NULL, NULL))) {
+ if ((pci = X509_get_ext_d2i(x, NID_proxyCertInfo, &i, NULL))) {
if (x->ex_flags & EXFLAG_CA
|| X509_get_ext_by_NID(x, NID_subject_alt_name, -1) >= 0
|| X509_get_ext_by_NID(x, NID_issuer_alt_name, -1) >= 0) {
@@ -399,9 +434,11 @@ static void x509v3_cache_extensions(X509 *x)
x->ex_pcpathlen = -1;
PROXY_CERT_INFO_EXTENSION_free(pci);
x->ex_flags |= EXFLAG_PROXY;
+ } else if (i != -1) {
+ x->ex_flags |= EXFLAG_INVALID;
}
/* Handle key usage */
- if ((usage = X509_get_ext_d2i(x, NID_key_usage, NULL, NULL))) {
+ if ((usage = X509_get_ext_d2i(x, NID_key_usage, &i, NULL))) {
if (usage->length > 0) {
x->ex_kusage = usage->data[0];
if (usage->length > 1)
@@ -410,9 +447,11 @@ static void x509v3_cache_extensions(X509 *x)
x->ex_kusage = 0;
x->ex_flags |= EXFLAG_KUSAGE;
ASN1_BIT_STRING_free(usage);
+ } else if (i != -1) {
+ x->ex_flags |= EXFLAG_INVALID;
}
x->ex_xkusage = 0;
- if ((extusage = X509_get_ext_d2i(x, NID_ext_key_usage, NULL, NULL))) {
+ if ((extusage = X509_get_ext_d2i(x, NID_ext_key_usage, &i, NULL))) {
x->ex_flags |= EXFLAG_XKUSAGE;
for (i = 0; i < sk_ASN1_OBJECT_num(extusage); i++) {
switch (OBJ_obj2nid(sk_ASN1_OBJECT_value(extusage, i))) {
@@ -455,36 +494,50 @@ static void x509v3_cache_extensions(X509 *x)
}
}
sk_ASN1_OBJECT_pop_free(extusage, ASN1_OBJECT_free);
+ } else if (i != -1) {
+ x->ex_flags |= EXFLAG_INVALID;
}
- if ((ns = X509_get_ext_d2i(x, NID_netscape_cert_type, NULL, NULL))) {
+ if ((ns = X509_get_ext_d2i(x, NID_netscape_cert_type, &i, NULL))) {
if (ns->length > 0)
x->ex_nscert = ns->data[0];
else
x->ex_nscert = 0;
x->ex_flags |= EXFLAG_NSCERT;
ASN1_BIT_STRING_free(ns);
+ } else if (i != -1) {
+ x->ex_flags |= EXFLAG_INVALID;
}
- x->skid = X509_get_ext_d2i(x, NID_subject_key_identifier, NULL, NULL);
- x->akid = X509_get_ext_d2i(x, NID_authority_key_identifier, NULL, NULL);
+ x->skid = X509_get_ext_d2i(x, NID_subject_key_identifier, &i, NULL);
+ if (x->skid == NULL && i != -1)
+ x->ex_flags |= EXFLAG_INVALID;
+ x->akid = X509_get_ext_d2i(x, NID_authority_key_identifier, &i, NULL);
+ if (x->akid == NULL && i != -1)
+ x->ex_flags |= EXFLAG_INVALID;
/* Does subject name match issuer ? */
if (!X509_NAME_cmp(X509_get_subject_name(x), X509_get_issuer_name(x))) {
- x->ex_flags |= EXFLAG_SI;
- /* If SKID matches AKID also indicate self signed */
- if (X509_check_akid(x, x->akid) == X509_V_OK &&
- !ku_reject(x, KU_KEY_CERT_SIGN))
- x->ex_flags |= EXFLAG_SS;
+ x->ex_flags |= EXFLAG_SI; /* cert is self-issued */
+ if (X509_check_akid(x, x->akid) == X509_V_OK /* SKID matches AKID */
+ /* .. and the signature alg matches the PUBKEY alg: */
+ && check_sig_alg_match(X509_get0_pubkey(x), x) == X509_V_OK)
+ x->ex_flags |= EXFLAG_SS; /* indicate self-signed */
}
- x->altname = X509_get_ext_d2i(x, NID_subject_alt_name, NULL, NULL);
+ x->altname = X509_get_ext_d2i(x, NID_subject_alt_name, &i, NULL);
+ if (x->altname == NULL && i != -1)
+ x->ex_flags |= EXFLAG_INVALID;
x->nc = X509_get_ext_d2i(x, NID_name_constraints, &i, NULL);
- if (!x->nc && (i != -1))
+ if (x->nc == NULL && i != -1)
+ x->ex_flags |= EXFLAG_INVALID;
+ if (!setup_crldp(x))
x->ex_flags |= EXFLAG_INVALID;
- setup_crldp(x);
#ifndef OPENSSL_NO_RFC3779
- x->rfc3779_addr = X509_get_ext_d2i(x, NID_sbgp_ipAddrBlock, NULL, NULL);
- x->rfc3779_asid = X509_get_ext_d2i(x, NID_sbgp_autonomousSysNum,
- NULL, NULL);
+ x->rfc3779_addr = X509_get_ext_d2i(x, NID_sbgp_ipAddrBlock, &i, NULL);
+ if (x->rfc3779_addr == NULL && i != -1)
+ x->ex_flags |= EXFLAG_INVALID;
+ x->rfc3779_asid = X509_get_ext_d2i(x, NID_sbgp_autonomousSysNum, &i, NULL);
+ if (x->rfc3779_asid == NULL && i != -1)
+ x->ex_flags |= EXFLAG_INVALID;
#endif
for (i = 0; i < X509_get_ext_count(x); i++) {
ex = X509_get_ext(x, i);
@@ -516,9 +569,11 @@ static void x509v3_cache_extensions(X509 *x)
* return codes:
* 0 not a CA
* 1 is a CA
- * 2 basicConstraints absent so "maybe" a CA
+ * 2 Only possible in older versions of openSSL when basicConstraints are absent
+ * new versions will not return this value. May be a CA
* 3 basicConstraints absent but self signed V1.
* 4 basicConstraints absent but keyUsage present and keyCertSign asserted.
+ * 5 Netscape specific CA Flags present
*/
static int check_ca(const X509 *x)
@@ -757,6 +812,23 @@ static int no_check(const X509_PURPOSE *xp, const X509 *x, int ca)
return 1;
}
+/*-
+ * Check if certificate I<issuer> is allowed to issue certificate I<subject>
+ * according to the B<keyUsage> field of I<issuer> if present
+ * depending on any proxyCertInfo extension of I<subject>.
+ * Returns 0 for OK, or positive for reason for rejection
+ * where reason codes match those for X509_verify_cert().
+ */
+int x509_signing_allowed(const X509 *issuer, const X509 *subject)
+{
+ if (subject->ex_flags & EXFLAG_PROXY) {
+ if (ku_reject(issuer, KU_DIGITAL_SIGNATURE))
+ return X509_V_ERR_KEYUSAGE_NO_DIGITAL_SIGNATURE;
+ } else if (ku_reject(issuer, KU_KEY_CERT_SIGN))
+ return X509_V_ERR_KEYUSAGE_NO_CERTSIGN;
+ return X509_V_OK;
+}
+
/*-
* Various checks to see if one certificate issued the second.
* This can be used to prune a set of possible issuer certificates
@@ -765,19 +837,34 @@ static int no_check(const X509_PURPOSE *xp, const X509 *x, int ca)
* These are:
* 1. Check issuer_name(subject) == subject_name(issuer)
* 2. If akid(subject) exists check it matches issuer
- * 3. If key_usage(issuer) exists check it supports certificate signing
+ * 3. Check that issuer public key algorithm matches subject signature algorithm
+ * 4. If key_usage(issuer) exists check it supports certificate signing
* returns 0 for OK, positive for reason for mismatch, reasons match
* codes for X509_verify_cert()
*/
int X509_check_issued(X509 *issuer, X509 *subject)
+{
+ int ret;
+
+ if ((ret = x509_likely_issued(issuer, subject)) != X509_V_OK)
+ return ret;
+ return x509_signing_allowed(issuer, subject);
+}
+
+/* do the checks 1., 2., and 3. as described above for X509_check_issued() */
+int x509_likely_issued(X509 *issuer, X509 *subject)
{
if (X509_NAME_cmp(X509_get_subject_name(issuer),
X509_get_issuer_name(subject)))
return X509_V_ERR_SUBJECT_ISSUER_MISMATCH;
x509v3_cache_extensions(issuer);
+ if (issuer->ex_flags & EXFLAG_INVALID)
+ return X509_V_ERR_UNSPECIFIED;
x509v3_cache_extensions(subject);
+ if (subject->ex_flags & EXFLAG_INVALID)
+ return X509_V_ERR_UNSPECIFIED;
if (subject->akid) {
int ret = X509_check_akid(issuer, subject->akid);
@@ -785,12 +872,8 @@ int X509_check_issued(X509 *issuer, X509 *subject)
return ret;
}
- if (subject->ex_flags & EXFLAG_PROXY) {
- if (ku_reject(issuer, KU_DIGITAL_SIGNATURE))
- return X509_V_ERR_KEYUSAGE_NO_DIGITAL_SIGNATURE;
- } else if (ku_reject(issuer, KU_KEY_CERT_SIGN))
- return X509_V_ERR_KEYUSAGE_NO_CERTSIGN;
- return X509_V_OK;
+ /* check if the subject signature alg matches the issuer's PUBKEY alg */
+ return check_sig_alg_match(X509_get0_pubkey(issuer), subject);
}
int X509_check_akid(X509 *issuer, AUTHORITY_KEYID *akid)
@@ -842,7 +925,8 @@ uint32_t X509_get_extension_flags(X509 *x)
uint32_t X509_get_key_usage(X509 *x)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, -1);
+ if (X509_check_purpose(x, -1, -1) != 1)
+ return 0;
if (x->ex_flags & EXFLAG_KUSAGE)
return x->ex_kusage;
return UINT32_MAX;
@@ -851,7 +935,8 @@ uint32_t X509_get_key_usage(X509 *x)
uint32_t X509_get_extended_key_usage(X509 *x)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, -1);
+ if (X509_check_purpose(x, -1, -1) != 1)
+ return 0;
if (x->ex_flags & EXFLAG_XKUSAGE)
return x->ex_xkusage;
return UINT32_MAX;
@@ -860,28 +945,32 @@ uint32_t X509_get_extended_key_usage(X509 *x)
const ASN1_OCTET_STRING *X509_get0_subject_key_id(X509 *x)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, -1);
+ if (X509_check_purpose(x, -1, -1) != 1)
+ return NULL;
return x->skid;
}
const ASN1_OCTET_STRING *X509_get0_authority_key_id(X509 *x)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, -1);
+ if (X509_check_purpose(x, -1, -1) != 1)
+ return NULL;
return (x->akid != NULL ? x->akid->keyid : NULL);
}
const GENERAL_NAMES *X509_get0_authority_issuer(X509 *x)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, -1);
+ if (X509_check_purpose(x, -1, -1) != 1)
+ return NULL;
return (x->akid != NULL ? x->akid->issuer : NULL);
}
const ASN1_INTEGER *X509_get0_authority_serial(X509 *x)
{
/* Call for side-effect of computing hash and caching extensions */
- X509_check_purpose(x, -1, -1);
+ if (X509_check_purpose(x, -1, -1) != 1)
+ return NULL;
return (x->akid != NULL ? x->akid->serial : NULL);
}
diff --git a/crypto/x509v3/v3_skey.c b/crypto/x509v3/v3_skey.c
index 749f51b2..c2e82045 100644
--- a/crypto/x509v3/v3_skey.c
+++ b/crypto/x509v3/v3_skey.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include "ext_dat.h"
static ASN1_OCTET_STRING *s2i_skey_id(X509V3_EXT_METHOD *method,
diff --git a/crypto/x509v3/v3_utl.c b/crypto/x509v3/v3_utl.c
index c9b40d2c..7281a7b9 100644
--- a/crypto/x509v3/v3_utl.c
+++ b/crypto/x509v3/v3_utl.c
@@ -12,11 +12,11 @@
#include "e_os.h"
#include "internal/cryptlib.h"
#include <stdio.h>
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include <openssl/conf.h>
#include <openssl/crypto.h>
#include <openssl/x509v3.h>
-#include "internal/x509_int.h"
+#include "crypto/x509.h"
#include <openssl/bn.h>
#include "ext_dat.h"
diff --git a/crypto/x86_64cpuid.pl b/crypto/x86_64cpuid.pl
index 6423e803..d9536d65 100644
--- a/crypto/x86_64cpuid.pl
+++ b/crypto/x86_64cpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2005-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -39,6 +39,7 @@ print<<___;
.type OPENSSL_atomic_add,\@abi-omnipotent
.align 16
OPENSSL_atomic_add:
+.cfi_startproc
movl ($arg1),%eax
.Lspin: leaq ($arg2,%rax),%r8
.byte 0xf0 # lock
@@ -47,16 +48,19 @@ OPENSSL_atomic_add:
movl %r8d,%eax
.byte 0x48,0x98 # cltq/cdqe
ret
+.cfi_endproc
.size OPENSSL_atomic_add,.-OPENSSL_atomic_add
.globl OPENSSL_rdtsc
.type OPENSSL_rdtsc,\@abi-omnipotent
.align 16
OPENSSL_rdtsc:
+.cfi_startproc
rdtsc
shl \$32,%rdx
or %rdx,%rax
ret
+.cfi_endproc
.size OPENSSL_rdtsc,.-OPENSSL_rdtsc
.globl OPENSSL_ia32_cpuid
@@ -232,6 +236,7 @@ OPENSSL_ia32_cpuid:
.type OPENSSL_cleanse,\@abi-omnipotent
.align 16
OPENSSL_cleanse:
+.cfi_startproc
xor %rax,%rax
cmp \$15,$arg2
jae .Lot
@@ -261,12 +266,14 @@ OPENSSL_cleanse:
cmp \$0,$arg2
jne .Little
ret
+.cfi_endproc
.size OPENSSL_cleanse,.-OPENSSL_cleanse
.globl CRYPTO_memcmp
.type CRYPTO_memcmp,\@abi-omnipotent
.align 16
CRYPTO_memcmp:
+.cfi_startproc
xor %rax,%rax
xor %r10,%r10
cmp \$0,$arg3
@@ -295,6 +302,7 @@ CRYPTO_memcmp:
shr \$63,%rax
.Lno_data:
ret
+.cfi_endproc
.size CRYPTO_memcmp,.-CRYPTO_memcmp
___
@@ -303,6 +311,7 @@ print<<___ if (!$win64);
.type OPENSSL_wipe_cpu,\@abi-omnipotent
.align 16
OPENSSL_wipe_cpu:
+.cfi_startproc
pxor %xmm0,%xmm0
pxor %xmm1,%xmm1
pxor %xmm2,%xmm2
@@ -329,6 +338,7 @@ OPENSSL_wipe_cpu:
xorq %r11,%r11
leaq 8(%rsp),%rax
ret
+.cfi_endproc
.size OPENSSL_wipe_cpu,.-OPENSSL_wipe_cpu
___
print<<___ if ($win64);
@@ -365,6 +375,7 @@ print<<___;
.type OPENSSL_instrument_bus,\@abi-omnipotent
.align 16
OPENSSL_instrument_bus:
+.cfi_startproc
mov $arg1,$out # tribute to Win64
mov $arg2,$cnt
mov $arg2,$max
@@ -391,12 +402,14 @@ OPENSSL_instrument_bus:
mov $max,%rax
ret
+.cfi_endproc
.size OPENSSL_instrument_bus,.-OPENSSL_instrument_bus
.globl OPENSSL_instrument_bus2
.type OPENSSL_instrument_bus2,\@abi-omnipotent
.align 16
OPENSSL_instrument_bus2:
+.cfi_startproc
mov $arg1,$out # tribute to Win64
mov $arg2,$cnt
mov $arg3,$max
@@ -439,6 +452,7 @@ OPENSSL_instrument_bus2:
mov $redzone(%rsp),%rax
sub $cnt,%rax
ret
+.cfi_endproc
.size OPENSSL_instrument_bus2,.-OPENSSL_instrument_bus2
___
}
@@ -450,6 +464,7 @@ print<<___;
.type OPENSSL_ia32_${rdop}_bytes,\@abi-omnipotent
.align 16
OPENSSL_ia32_${rdop}_bytes:
+.cfi_startproc
xor %rax, %rax # return value
cmp \$0,$arg2
je .Ldone_${rdop}_bytes
@@ -486,10 +501,11 @@ OPENSSL_ia32_${rdop}_bytes:
.Ldone_${rdop}_bytes:
xor %r10,%r10 # Clear sensitive data from register
ret
+.cfi_endproc
.size OPENSSL_ia32_${rdop}_bytes,.-OPENSSL_ia32_${rdop}_bytes
___
}
gen_random("rdrand");
gen_random("rdseed");
-close STDOUT; # flush
+close STDOUT or die "error closing STDOUT: $!"; # flush
diff --git a/crypto/x86cpuid.pl b/crypto/x86cpuid.pl
index d43dda4d..ba4fd80f 100644
--- a/crypto/x86cpuid.pl
+++ b/crypto/x86cpuid.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2004-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -506,4 +506,4 @@ my $rdop = shift;
&asm_finish();
-close STDOUT;
+close STDOUT or die "error closing STDOUT: $!";
diff --git a/doc/HOWTO/proxy_certificates.txt b/doc/HOWTO/proxy_certificates.txt
deleted file mode 100644
index 3c423492..00000000
--- a/doc/HOWTO/proxy_certificates.txt
+++ /dev/null
@@ -1,319 +0,0 @@
- HOWTO proxy certificates
-
-0. WARNING
-
-NONE OF THE CODE PRESENTED HERE HAS BEEN CHECKED! The code is just examples to
-show you how things could be done. There might be typos or type conflicts, and
-you will have to resolve them.
-
-1. Introduction
-
-Proxy certificates are defined in RFC 3820. They are really usual certificates
-with the mandatory extension proxyCertInfo.
-
-Proxy certificates are issued by an End Entity (typically a user), either
-directly with the EE certificate as issuing certificate, or by extension through
-an already issued proxy certificate. Proxy certificates are used to extend
-rights to some other entity (a computer process, typically, or sometimes to the
-user itself). This allows the entity to perform operations on behalf of the
-owner of the EE certificate.
-
-See https://www.ietf.org/rfc/rfc3820.txt for more information.
-
-
-2. A warning about proxy certificates
-
-No one seems to have tested proxy certificates with security in mind. To this
-date, it seems that proxy certificates have only been used in a context highly
-aware of them.
-
-Existing applications might misbehave when trying to validate a chain of
-certificates which use a proxy certificate. They might incorrectly consider the
-leaf to be the certificate to check for authorisation data, which is controlled
-by the EE certificate owner.
-
-subjectAltName and issuerAltName are forbidden in proxy certificates, and this
-is enforced in OpenSSL. The subject must be the same as the issuer, with one
-commonName added on.
-
-Possible threats we can think of at this time include:
-
- - impersonation through commonName (think server certificates).
- - use of additional extensions, possibly non-standard ones used in certain
- environments, that would grant extra or different authorisation rights.
-
-For these reasons, OpenSSL requires that the use of proxy certificates be
-explicitly allowed. Currently, this can be done using the following methods:
-
- - if the application directly calls X509_verify_cert(), it can first call:
-
- X509_STORE_CTX_set_flags(ctx, X509_V_FLAG_ALLOW_PROXY_CERTS);
-
- Where ctx is the pointer which then gets passed to X509_verify_cert().
-
- - proxy certificate validation can be enabled before starting the application
- by setting the environment variable OPENSSL_ALLOW_PROXY_CERTS.
-
-In the future, it might be possible to enable proxy certificates by editing
-openssl.cnf.
-
-
-3. How to create proxy certificates
-
-Creating proxy certificates is quite easy, by taking advantage of a lack of
-checks in the 'openssl x509' application (*ahem*). You must first create a
-configuration section that contains a definition of the proxyCertInfo extension,
-for example:
-
- [ v3_proxy ]
- # A proxy certificate MUST NEVER be a CA certificate.
- basicConstraints=CA:FALSE
-
- # Usual authority key ID
- authorityKeyIdentifier=keyid,issuer:always
-
- # The extension which marks this certificate as a proxy
- proxyCertInfo=critical,language:id-ppl-anyLanguage,pathlen:1,policy:text:AB
-
-It's also possible to specify the proxy extension in a separate section:
-
- proxyCertInfo=critical,@proxy_ext
-
- [ proxy_ext ]
- language=id-ppl-anyLanguage
- pathlen=0
- policy=text:BC
-
-The policy value has a specific syntax, {syntag}:{string}, where the syntag
-determines what will be done with the string. The following syntags are
-recognised:
-
- text indicates that the string is simply bytes, without any encoding:
-
- policy=text:räksmörgås
-
- Previous versions of this design had a specific tag for UTF-8 text.
- However, since the bytes are copied as-is anyway, there is no need for
- such a specific tag.
-
- hex indicates the string is encoded in hex, with colons between each byte
- (every second hex digit):
-
- policy=hex:72:E4:6B:73:6D:F6:72:67:E5:73
-
- Previous versions of this design had a tag to insert a complete DER
- blob. However, the only legal use for this would be to surround the
- bytes that would go with the hex: tag with whatever is needed to
- construct a correct OCTET STRING. The DER tag therefore felt
- superfluous, and was removed.
-
- file indicates that the text of the policy should really be taken from a
- file. The string is then really a file name. This is useful for
- policies that are large (more than a few lines, e.g. XML documents).
-
-The 'policy' setting can be split up in multiple lines like this:
-
- 0.policy=This is
- 1.policy= a multi-
- 2.policy=line policy.
-
-NOTE: the proxy policy value is the part which determines the rights granted to
-the process using the proxy certificate. The value is completely dependent on
-the application reading and interpreting it!
-
-Now that you have created an extension section for your proxy certificate, you
-can easily create a proxy certificate by doing:
-
- openssl req -new -config openssl.cnf -out proxy.req -keyout proxy.key
- openssl x509 -req -CAcreateserial -in proxy.req -days 7 -out proxy.crt \
- -CA user.crt -CAkey user.key -extfile openssl.cnf -extensions v3_proxy
-
-You can also create a proxy certificate using another proxy certificate as
-issuer (note: I'm using a different configuration section for it):
-
- openssl req -new -config openssl.cnf -out proxy2.req -keyout proxy2.key
- openssl x509 -req -CAcreateserial -in proxy2.req -days 7 -out proxy2.crt \
- -CA proxy.crt -CAkey proxy.key -extfile openssl.cnf -extensions v3_proxy2
-
-
-4. How to have your application interpret the policy?
-
-The basic way to interpret proxy policies is to start with some default rights,
-then compute the resulting rights by checking the proxy certificate against
-the chain of proxy certificates, user certificate and CA certificates. You then
-use the final computed rights. Sounds easy, huh? It almost is.
-
-The slightly complicated part is figuring out how to pass data between your
-application and the certificate validation procedure.
-
-You need the following ingredients:
-
- - a callback function that will be called for every certificate being
- validated. The callback be called several times for each certificate,
- so you must be careful to do the proxy policy interpretation at the right
- time. You also need to fill in the defaults when the EE certificate is
- checked.
-
- - a data structure that is shared between your application code and the
- callback.
-
- - a wrapper function that sets it all up.
-
- - an ex_data index function that creates an index into the generic ex_data
- store that is attached to an X509 validation context.
-
-Here is some skeleton code you can fill in:
-
- #include <string.h>
- #include <netdb.h>
- #include <openssl/x509.h>
- #include <openssl/x509v3.h>
-
- #define total_rights 25
-
- /*
- * In this example, I will use a view of granted rights as a bit
- * array, one bit for each possible right.
- */
- typedef struct your_rights {
- unsigned char rights[(total_rights + 7) / 8];
- } YOUR_RIGHTS;
-
- /*
- * The following procedure will create an index for the ex_data
- * store in the X509 validation context the first time it's called.
- * Subsequent calls will return the same index. */
- static int get_proxy_auth_ex_data_idx(X509_STORE_CTX *ctx)
- {
- static volatile int idx = -1;
- if (idx < 0) {
- X509_STORE_lock(X509_STORE_CTX_get0_store(ctx));
- if (idx < 0) {
- idx = X509_STORE_CTX_get_ex_new_index(0,
- "for verify callback",
- NULL,NULL,NULL);
- }
- X509_STORE_unlock(X509_STORE_CTX_get0_store(ctx));
- }
- return idx;
- }
-
- /* Callback to be given to the X509 validation procedure. */
- static int verify_callback(int ok, X509_STORE_CTX *ctx)
- {
- if (ok == 1) {
- /*
- * It's REALLY important you keep the proxy policy
- * check within this section. It's important to know
- * that when ok is 1, the certificates are checked
- * from top to bottom. You get the CA root first,
- * followed by the possible chain of intermediate
- * CAs, followed by the EE certificate, followed by
- * the possible proxy certificates.
- */
- X509 *xs = X509_STORE_CTX_get_current_cert(ctx);
-
- if (X509_get_extension_flags(xs) & EXFLAG_PROXY) {
- YOUR_RIGHTS *rights =
- (YOUR_RIGHTS *)X509_STORE_CTX_get_ex_data(ctx,
- get_proxy_auth_ex_data_idx(ctx));
- PROXY_CERT_INFO_EXTENSION *pci =
- X509_get_ext_d2i(xs, NID_proxyCertInfo, NULL, NULL);
-
- switch (OBJ_obj2nid(pci->proxyPolicy->policyLanguage)) {
- case NID_Independent:
- /*
- * Do whatever you need to grant explicit rights to
- * this particular proxy certificate, usually by
- * pulling them from some database. If there are none
- * to be found, clear all rights (making this and any
- * subsequent proxy certificate void of any rights).
- */
- memset(rights->rights, 0, sizeof(rights->rights));
- break;
- case NID_id_ppl_inheritAll:
- /*
- * This is basically a NOP, we simply let the current
- * rights stand as they are.
- */
- break;
- default:
- /* This is usually the most complex section of code.
- * You really do whatever you want as long as you
- * follow RFC 3820. In the example we use here, the
- * simplest thing to do is to build another, temporary
- * bit array and fill it with the rights granted by
- * the current proxy certificate, then use it as a
- * mask on the accumulated rights bit array, and
- * voilà , you now have a new accumulated rights bit
- * array.
- */
- {
- int i;
- YOUR_RIGHTS tmp_rights;
- memset(tmp_rights.rights, 0, sizeof(tmp_rights.rights));
-
- /*
- * process_rights() is supposed to be a procedure
- * that takes a string and its length, interprets
- * it and sets the bits in the YOUR_RIGHTS pointed
- * at by the third argument.
- */
- process_rights((char *) pci->proxyPolicy->policy->data,
- pci->proxyPolicy->policy->length,
- &tmp_rights);
-
- for(i = 0; i < total_rights / 8; i++)
- rights->rights[i] &= tmp_rights.rights[i];
- }
- break;
- }
- PROXY_CERT_INFO_EXTENSION_free(pci);
- } else if (!(X509_get_extension_flags(xs) & EXFLAG_CA)) {
- /* We have an EE certificate, let's use it to set default! */
- YOUR_RIGHTS *rights =
- (YOUR_RIGHTS *)X509_STORE_CTX_get_ex_data(ctx,
- get_proxy_auth_ex_data_idx(ctx));
-
- /* The following procedure finds out what rights the owner
- * of the current certificate has, and sets them in the
- * YOUR_RIGHTS structure pointed at by the second
- * argument.
- */
- set_default_rights(xs, rights);
- }
- }
- return ok;
- }
-
- static int my_X509_verify_cert(X509_STORE_CTX *ctx,
- YOUR_RIGHTS *needed_rights)
- {
- int ok;
- int (*save_verify_cb)(int ok,X509_STORE_CTX *ctx) =
- X509_STORE_CTX_get_verify_cb(ctx);
- YOUR_RIGHTS rights;
-
- X509_STORE_CTX_set_verify_cb(ctx, verify_callback);
- X509_STORE_CTX_set_ex_data(ctx, get_proxy_auth_ex_data_idx(ctx), &rights);
- X509_STORE_CTX_set_flags(ctx, X509_V_FLAG_ALLOW_PROXY_CERTS);
- ok = X509_verify_cert(ctx);
-
- if (ok == 1) {
- ok = check_needed_rights(rights, needed_rights);
- }
-
- X509_STORE_CTX_set_verify_cb(ctx, save_verify_cb);
-
- return ok;
- }
-
-
-If you use SSL or TLS, you can easily set up a callback to have the
-certificates checked properly, using the code above:
-
- SSL_CTX_set_cert_verify_callback(s_ctx, my_X509_verify_cert, &needed_rights);
-
-
---
-Richard Levitte
diff --git a/doc/man1/CA.pl.pod b/doc/man1/CA.pl.pod
index 6949ec62..4e8958e5 100644
--- a/doc/man1/CA.pl.pod
+++ b/doc/man1/CA.pl.pod
@@ -91,7 +91,7 @@ to standard output. Leverages B<openssl ca> command.
=item B<-signCA>
-This option is the same as the B<-signreq> option except it uses the
+This option is the same as the B<-sign> option except it uses the
configuration file section B<v3_ca> and so makes the signed request a
valid CA certificate. This is useful when creating intermediate CA from
a root CA. Extra params are passed on to B<openssl ca> command.
@@ -143,7 +143,7 @@ the request and finally create a PKCS#12 file containing it.
CA.pl -newca
CA.pl -newreq
- CA.pl -signreq
+ CA.pl -sign
CA.pl -pkcs12 "My Test Certificate"
=head1 DSA CERTIFICATES
@@ -164,7 +164,7 @@ Create the CA directories and files:
CA.pl -newca
-enter cacert.pem when prompted for the CA file name.
+enter cacert.pem when prompted for the CA filename.
Create a DSA certificate request and private key (a different set of parameters
can optionally be created first):
@@ -173,7 +173,7 @@ can optionally be created first):
Sign the request:
- CA.pl -signreq
+ CA.pl -sign
=head1 NOTES
@@ -204,7 +204,7 @@ L<config(5)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/ca.pod b/doc/man1/ca.pod
index 7385a009..4380d869 100644
--- a/doc/man1/ca.pod
+++ b/doc/man1/ca.pod
@@ -51,6 +51,7 @@ B<openssl> B<ca>
[B<-engine id>]
[B<-subj arg>]
[B<-utf8>]
+[B<-sigopt nm:v>]
[B<-create_serial>]
[B<-rand_serial>]
[B<-multivalue-rdn>]
@@ -134,6 +135,11 @@ The private key to sign requests with.
The format of the data in the private key file.
The default is PEM.
+=item B<-sigopt nm:v>
+
+Pass options to the signature algorithm during sign or verify operations.
+Names and values of these options are algorithm-specific.
+
=item B<-key password>
The password used to encrypt the private key. Since on some
@@ -157,7 +163,7 @@ self-signed certificate.
=item B<-passin arg>
The key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-notext>
@@ -213,7 +219,7 @@ DNs match the order of the request. This is not needed for Xenroll.
=item B<-noemailDN>
The DN of a certificate can contain the EMAIL field if present in the
-request DN, however it is good policy just having the e-mail set into
+request DN, however, it is good policy just having the e-mail set into
the altName extension of the certificate. When this option is set the
EMAIL field is removed from the certificate' subject and set only in
the, eventually present, extensions. The B<email_in_dn> keyword can be
@@ -753,7 +759,7 @@ L<config(5)>, L<x509v3_config(5)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/cms.pod b/doc/man1/cms.pod
index 72cd9b5d..2caf3ef4 100644
--- a/doc/man1/cms.pod
+++ b/doc/man1/cms.pod
@@ -465,7 +465,7 @@ or to modify default parameters for ECDH.
=item B<-passin arg>
The private key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-rand file...>
@@ -735,7 +735,7 @@ The -no_alt_chains option was added in OpenSSL 1.0.2b.
=head1 COPYRIGHT
-Copyright 2008-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2008-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/crl2pkcs7.pod b/doc/man1/crl2pkcs7.pod
index f58a442b..3fcb737b 100644
--- a/doc/man1/crl2pkcs7.pod
+++ b/doc/man1/crl2pkcs7.pod
@@ -56,7 +56,7 @@ output by default.
Specifies a filename containing one or more certificates in B<PEM> format.
All certificates in the file will be added to the PKCS#7 structure. This
-option can be used more than once to read certificates form multiple
+option can be used more than once to read certificates from multiple
files.
=item B<-nocrl>
@@ -96,7 +96,7 @@ L<pkcs7(1)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/dgst.pod b/doc/man1/dgst.pod
index 66a6697e..8d48c9ae 100644
--- a/doc/man1/dgst.pod
+++ b/doc/man1/dgst.pod
@@ -12,6 +12,7 @@ B<openssl dgst>
[B<-help>]
[B<-c>]
[B<-d>]
+[B<-list>]
[B<-hex>]
[B<-binary>]
[B<-r>]
@@ -22,6 +23,7 @@ B<openssl dgst>
[B<-verify filename>]
[B<-prverify filename>]
[B<-signature filename>]
+[B<-sigopt nm:v>]
[B<-hmac key>]
[B<-fips-fingerprint>]
[B<-rand file...>]
@@ -66,6 +68,10 @@ B<hex> format output is used.
Print out BIO debugging information.
+=item B<-list>
+
+Prints out a list of supported message digests.
+
=item B<-hex>
Digest is to be output as a hex dump. This is the default case for a "normal"
@@ -78,7 +84,8 @@ Output the digest or signature in binary form.
=item B<-r>
-Output the digest in the "coreutils" format used by programs like B<sha1sum>.
+Output the digest in the "coreutils" format, including newlines.
+Used by programs like B<sha1sum>.
=item B<-out filename>
@@ -87,8 +94,7 @@ Filename to output to, or standard output by default.
=item B<-sign filename>
Digitally sign the digest using the private key in "filename". Note this option
-does not support Ed25519 or Ed448 private keys. Use the B<pkeyutl> command
-instead for this.
+does not support Ed25519 or Ed448 private keys.
=item B<-keyform arg>
@@ -103,7 +109,7 @@ Names and values of these options are algorithm-specific.
=item B<-passin arg>
The private key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-verify filename>
@@ -235,7 +241,7 @@ The FIPS-related options were removed in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/dsa.pod b/doc/man1/dsa.pod
index fb6cbf12..752c2206 100644
--- a/doc/man1/dsa.pod
+++ b/doc/man1/dsa.pod
@@ -75,7 +75,7 @@ prompted for.
=item B<-passin arg>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-out filename>
@@ -87,7 +87,7 @@ filename.
=item B<-passout arg>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-aes128>, B<-aes192>, B<-aes256>, B<-aria128>, B<-aria192>, B<-aria256>, B<-camellia128>, B<-camellia192>, B<-camellia256>, B<-des>, B<-des3>, B<-idea>
@@ -172,7 +172,7 @@ L<genrsa(1)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/ec.pod b/doc/man1/ec.pod
index 4d368e20..41ffc6cb 100644
--- a/doc/man1/ec.pod
+++ b/doc/man1/ec.pod
@@ -68,7 +68,7 @@ prompted for.
=item B<-passin arg>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-out filename>
@@ -80,7 +80,7 @@ filename.
=item B<-passout arg>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-des|-des3|-idea>
@@ -193,7 +193,7 @@ L<ecparam(1)>, L<dsa(1)>, L<rsa(1)>
=head1 COPYRIGHT
-Copyright 2003-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2003-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/enc.pod b/doc/man1/enc.pod
index a3e0b03b..3c7b6c42 100644
--- a/doc/man1/enc.pod
+++ b/doc/man1/enc.pod
@@ -9,6 +9,7 @@ enc - symmetric cipher routines
B<openssl enc -I<cipher>>
[B<-help>]
+[B<-list>]
[B<-ciphers>]
[B<-in filename>]
[B<-out filename>]
@@ -56,10 +57,14 @@ either by itself or in addition to the encryption or decryption.
Print out a usage message.
-=item B<-ciphers>
+=item B<-list>
List all supported ciphers.
+=item B<-ciphers>
+
+Alias of -list to display all supported ciphers.
+
=item B<-in filename>
The input filename, standard input by default.
@@ -71,7 +76,7 @@ The output filename, standard output by default.
=item B<-pass arg>
The password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-e>
@@ -235,7 +240,7 @@ a strong block cipher, such as AES, in CBC mode.
All the block ciphers normally use PKCS#5 padding, also known as standard
block padding. This allows a rudimentary integrity or password check to
-be performed. However since the chance of random data passing the test
+be performed. However, since the chance of random data passing the test
is better than 1 in 256 it isn't a very good test.
If padding is disabled then the input data must be a multiple of the cipher
@@ -419,9 +424,11 @@ certain parameters. So if, for example, you want to use RC2 with a
The default digest was changed from MD5 to SHA256 in OpenSSL 1.1.0.
+The B<-list> option was added in OpenSSL 1.1.1e.
+
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/genpkey.pod b/doc/man1/genpkey.pod
index 1ba54d48..6a681ef3 100644
--- a/doc/man1/genpkey.pod
+++ b/doc/man1/genpkey.pod
@@ -44,7 +44,7 @@ This specifies the output format DER or PEM. The default format is PEM.
=item B<-pass arg>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-I<cipher>>
@@ -325,7 +325,7 @@ The ability to generate X448, ED25519 and ED448 keys was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/genrsa.pod b/doc/man1/genrsa.pod
index a9c994ff..8bd3799e 100644
--- a/doc/man1/genrsa.pod
+++ b/doc/man1/genrsa.pod
@@ -51,7 +51,7 @@ standard output is used.
=item B<-passout arg>
The output file password source. For more information about the format
-of B<arg> see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+of B<arg> see L<openssl(1)/Pass Phrase Options>.
=item B<-aes128>, B<-aes192>, B<-aes256>, B<-aria128>, B<-aria192>, B<-aria256>, B<-camellia128>, B<-camellia192>, B<-camellia256>, B<-des>, B<-des3>, B<-idea>
@@ -118,7 +118,7 @@ L<gendsa(1)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/ocsp.pod b/doc/man1/ocsp.pod
index 736055b1..1f724b42 100644
--- a/doc/man1/ocsp.pod
+++ b/doc/man1/ocsp.pod
@@ -176,7 +176,7 @@ Specify the responder URL. Both HTTP and HTTPS (SSL/TLS) URLs can be specified.
=item B<-host hostname:port>, B<-path pathname>
If the B<host> option is present then the OCSP request is sent to the host
-B<hostname> on port B<port>. B<path> specifies the HTTP path name to use
+B<hostname> on port B<port>. B<path> specifies the HTTP pathname to use
or "/" by default. This is equivalent to specifying B<-url> with scheme
http:// and the given hostname, port, and pathname.
@@ -490,7 +490,7 @@ The -no_alt_chains option was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/pkcs12.pod b/doc/man1/pkcs12.pod
index da887a46..ac0397a9 100644
--- a/doc/man1/pkcs12.pod
+++ b/doc/man1/pkcs12.pod
@@ -78,14 +78,12 @@ default. They are all written in PEM format.
=item B<-passin arg>
The PKCS#12 file (i.e. input file) password source. For more information about
-the format of B<arg> see the B<PASS PHRASE ARGUMENTS> section in
-L<openssl(1)>.
+the format of B<arg> see L<openssl(1)/Pass Phrase Options>.
=item B<-passout arg>
Pass phrase source to encrypt any outputted private keys with. For more
-information about the format of B<arg> see the B<PASS PHRASE ARGUMENTS> section
-in L<openssl(1)>.
+information about the format of B<arg> see L<openssl(1)/Pass Phrase Options>.
=item B<-password arg>
@@ -206,14 +204,12 @@ displays them.
=item B<-pass arg>, B<-passout arg>
The PKCS#12 file (i.e. output file) password source. For more information about
-the format of B<arg> see the B<PASS PHRASE ARGUMENTS> section in
-L<openssl(1)>.
+the format of B<arg> see L<openssl(1)/Pass Phrase Options>.
=item B<-passin password>
Pass phrase source to decrypt any input private keys with. For more information
-about the format of B<arg> see the B<PASS PHRASE ARGUMENTS> section in
-L<openssl(1)>.
+about the format of B<arg> see L<openssl(1)/Pass Phrase Options>.
=item B<-chain>
@@ -245,7 +241,7 @@ This option is only interpreted by MSIE and similar MS software. Normally
encryption purposes but arbitrary length keys for signing. The B<-keysig>
option marks the key for signing only. Signing only keys can be used for
S/MIME signing, authenticode (ActiveX control signing) and SSL client
-authentication, however due to a bug only MSIE 5.0 and later support
+authentication, however, due to a bug only MSIE 5.0 and later support
the use of signing only keys for SSL client authentication.
=item B<-macalg digest>
@@ -383,7 +379,7 @@ L<pkcs8(1)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/pkcs8.pod b/doc/man1/pkcs8.pod
index b079885d..dba75fc8 100644
--- a/doc/man1/pkcs8.pod
+++ b/doc/man1/pkcs8.pod
@@ -75,7 +75,7 @@ prompted for.
=item B<-passin arg>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-out filename>
@@ -87,7 +87,7 @@ filename.
=item B<-passout arg>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-iter count>
@@ -285,7 +285,7 @@ one million iterations of the password:
Test vectors from this PKCS#5 v2.0 implementation were posted to the
pkcs-tng mailing list using triple DES, DES and RC2 with high iteration
counts, several people confirmed that they could decrypt the private
-keys produced and Therefore it can be assumed that the PKCS#5 v2.0
+keys produced and therefore, it can be assumed that the PKCS#5 v2.0
implementation is reasonably accurate at least as far as these
algorithms are concerned.
@@ -309,7 +309,7 @@ The B<-iter> option was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/pkey.pod b/doc/man1/pkey.pod
index 9569fe0e..1c290927 100644
--- a/doc/man1/pkey.pod
+++ b/doc/man1/pkey.pod
@@ -57,7 +57,7 @@ prompted for.
=item B<-passin arg>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-out filename>
@@ -69,7 +69,7 @@ filename.
=item B<-passout password>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-traditional>
@@ -158,7 +158,7 @@ L<dsa(1)>, L<genrsa(1)>, L<gendsa(1)>
=head1 COPYRIGHT
-Copyright 2006-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/pkeyutl.pod b/doc/man1/pkeyutl.pod
index dffc449a..3b350efa 100644
--- a/doc/man1/pkeyutl.pod
+++ b/doc/man1/pkeyutl.pod
@@ -38,7 +38,7 @@ B<openssl> B<pkeyutl>
=head1 DESCRIPTION
-The B<pkeyutl> command can be used to perform low level public key operations
+The B<pkeyutl> command can be used to perform low-level public key operations
using any supported algorithm.
=head1 OPTIONS
@@ -74,7 +74,7 @@ The key format PEM, DER or ENGINE. Default is PEM.
=item B<-passin arg>
The input key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-peerkey file>
@@ -327,7 +327,7 @@ L<EVP_PKEY_CTX_set_hkdf_md(3)>, L<EVP_PKEY_CTX_set_tls1_prf_md(3)>
=head1 COPYRIGHT
-Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/rand.pod b/doc/man1/rand.pod
index 5dd9e8e0..b5d45ab5 100644
--- a/doc/man1/rand.pod
+++ b/doc/man1/rand.pod
@@ -18,12 +18,14 @@ I<num>
=head1 DESCRIPTION
-The B<rand> command outputs I<num> pseudo-random bytes after seeding
-the random number generator once. As in other B<openssl> command
-line tools, PRNG seeding uses the file I<$HOME/>B<.rnd> or B<.rnd>
-in addition to the files given in the B<-rand> option. A new
-I<$HOME>/B<.rnd> or B<.rnd> file will be written back if enough
-seeding was obtained from these sources.
+This command generates I<num> random bytes using a cryptographically
+secure pseudo random number generator (CSPRNG).
+
+The random bytes are generated using the L<RAND_bytes(3)> function,
+which provides a security level of 256 bits, provided it managed to
+seed itself successfully from a trusted operating system entropy source.
+Otherwise, the command will fail with a nonzero error code.
+For more details, see L<RAND_bytes(3)>, L<RAND(7)>, and L<RAND_DRBG(7)>.
=head1 OPTIONS
@@ -44,6 +46,8 @@ generator.
Multiple files can be specified separated by an OS-dependent character.
The separator is B<;> for MS-Windows, B<,> for OpenVMS, and B<:> for
all others.
+Explicitly specifying a seed file is in general not necessary, see the
+L</NOTES> section for more information.
=item [B<-writerand file>]
@@ -60,13 +64,28 @@ Show the output as a hex string.
=back
+=head1 NOTES
+
+Prior to OpenSSL 1.1.1, it was common for applications to store information
+about the state of the random-number generator in a file that was loaded
+at startup and rewritten upon exit. On modern operating systems, this is
+generally no longer necessary as OpenSSL will seed itself from a trusted
+entropy source provided by the operating system. The B<-rand> and
+B<-writerand> flags are still supported for special platforms or
+circumstances that might require them.
+
+It is generally an error to use the same seed file more than once and
+every use of B<-rand> should be paired with B<-writerand>.
+
=head1 SEE ALSO
-L<RAND_bytes(3)>
+L<RAND_bytes(3)>,
+L<RAND(7)>,
+L<RAND_DRBG(7)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/req.pod b/doc/man1/req.pod
index a9b5b169..539b8438 100644
--- a/doc/man1/req.pod
+++ b/doc/man1/req.pod
@@ -46,6 +46,7 @@ B<openssl> B<req>
[B<-reqopt>]
[B<-subject>]
[B<-subj arg>]
+[B<-sigopt nm:v>]
[B<-batch>]
[B<-verbose>]
[B<-engine id>]
@@ -82,10 +83,15 @@ This specifies the input filename to read a request from or standard input
if this option is not specified. A request is only read if the creation
options (B<-new> and B<-newkey>) are not specified.
+=item B<-sigopt nm:v>
+
+Pass options to the signature algorithm during sign or verify operations.
+Names and values of these options are algorithm-specific.
+
=item B<-passin arg>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-out filename>
@@ -95,7 +101,7 @@ default.
=item B<-passout arg>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-text>
@@ -689,7 +695,7 @@ L<x509v3_config(5)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/rsa.pod b/doc/man1/rsa.pod
index 37f64616..fddd828b 100644
--- a/doc/man1/rsa.pod
+++ b/doc/man1/rsa.pod
@@ -75,7 +75,7 @@ prompted for.
=item B<-passin arg>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-out filename>
@@ -87,7 +87,7 @@ filename.
=item B<-passout password>
The output file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-aes128>, B<-aes192>, B<-aes256>, B<-aria128>, B<-aria192>, B<-aria256>, B<-camellia128>, B<-camellia192>, B<-camellia256>, B<-des>, B<-des3>, B<-idea>
@@ -195,7 +195,7 @@ L<gendsa(1)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/s_client.pod b/doc/man1/s_client.pod
index e2475ea0..743b2db2 100644
--- a/doc/man1/s_client.pod
+++ b/doc/man1/s_client.pod
@@ -258,7 +258,7 @@ Extra certificate and private key format respectively.
=item B<-pass arg>
the private key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-verify depth>
@@ -335,7 +335,7 @@ at a positive depth or else "matched EE certificate" at depth 0.
Use one or more times to specify the RRDATA fields of the DANE TLSA
RRset associated with the target service. The B<rrdata> value is
-specied in "presentation form", that is four whitespace separated
+specified in "presentation form", that is four whitespace separated
fields that specify the usage, selector, matching type and associated
data, with the last of these encoded in hexadecimal. Optional
whitespace is ignored in the associated data field. For example:
@@ -427,11 +427,11 @@ File to send output of B<-msg> or B<-trace> to, default standard output.
=item B<-nbio_test>
-Tests non-blocking I/O
+Tests nonblocking I/O
=item B<-nbio>
-Turns on non-blocking I/O
+Turns on nonblocking I/O
=item B<-crlf>
@@ -781,14 +781,14 @@ is that a web client complains it has no certificates or gives an empty
list to choose from. This is normally because the server is not sending
the clients certificate authority in its "acceptable CA list" when it
requests a certificate. By using B<s_client> the CA list can be viewed
-and checked. However some servers only request client authentication
+and checked. However, some servers only request client authentication
after a specific URL is requested. To obtain the list in this case it
is necessary to use the B<-prexit> option and send an HTTP request
for an appropriate page.
If a certificate is specified on the command line using the B<-cert>
option it will not be used unless the server specifically requests
-a client certificate. Therefor merely including a client certificate
+a client certificate. Therefore, merely including a client certificate
on the command line is no guarantee that the certificate works.
If there are problems verifying a server certificate then the
@@ -828,7 +828,7 @@ The B<-name> option was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/s_server.pod b/doc/man1/s_server.pod
index 7fa382a8..9fdac491 100644
--- a/doc/man1/s_server.pod
+++ b/doc/man1/s_server.pod
@@ -297,7 +297,7 @@ The private format to use: DER or PEM. PEM is the default.
=item B<-pass val>
The private key password source. For more information about the format of B<val>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-dcert infile>, B<-dkey infile>
@@ -432,9 +432,9 @@ used in conjunction with B<-early_data>.
=item B<-id_prefix val>
Generate SSL/TLS session IDs prefixed by B<val>. This is mostly useful
-for testing any SSL/TLS code (eg. proxies) that wish to deal with multiple
+for testing any SSL/TLS code (e.g. proxies) that wish to deal with multiple
servers, when each of which might be generating a unique range of session
-IDs (eg. with a certain prefix).
+IDs (e.g. with a certain prefix).
=item B<-rand file...>
@@ -845,7 +845,7 @@ The
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/s_time.pod b/doc/man1/s_time.pod
index ac32f36b..1085bfbb 100644
--- a/doc/man1/s_time.pod
+++ b/doc/man1/s_time.pod
@@ -14,7 +14,7 @@ B<openssl> B<s_time>
[B<-cert filename>]
[B<-key filename>]
[B<-CApath directory>]
-[B<-cafile filename>]
+[B<-CAfile filename>]
[B<-no-CAfile>]
[B<-no-CApath>]
[B<-reuse>]
@@ -177,14 +177,14 @@ is that a web client complains it has no certificates or gives an empty
list to choose from. This is normally because the server is not sending
the clients certificate authority in its "acceptable CA list" when it
requests a certificate. By using L<s_client(1)> the CA list can be
-viewed and checked. However some servers only request client authentication
+viewed and checked. However, some servers only request client authentication
after a specific URL is requested. To obtain the list in this case it
is necessary to use the B<-prexit> option of L<s_client(1)> and
send an HTTP request for an appropriate page.
If a certificate is specified on the command line using the B<-cert>
option it will not be used unless the server specifically requests
-a client certificate. Therefor merely including a client certificate
+a client certificate. Therefore, merely including a client certificate
on the command line is no guarantee that the certificate works.
=head1 BUGS
@@ -202,7 +202,7 @@ L<s_client(1)>, L<s_server(1)>, L<ciphers(1)>
=head1 COPYRIGHT
-Copyright 2004-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/sess_id.pod b/doc/man1/sess_id.pod
index 1f7a1e86..543b5b7d 100644
--- a/doc/man1/sess_id.pod
+++ b/doc/man1/sess_id.pod
@@ -93,7 +93,7 @@ Typical output:
Timeout : 300 (sec)
Verify return code 0 (ok)
-Theses are described below in more detail.
+These are described below in more detail.
=over 4
@@ -142,7 +142,7 @@ The PEM encoded session format uses the header and footer lines:
Since the SSL session output contains the master key it is
possible to read the contents of an encrypted session using this
-information. Therefore appropriate security precautions should be taken if
+information. Therefore, appropriate security precautions should be taken if
the information is being output by a "real" application. This is however
strongly discouraged and should only be used for debugging purposes.
@@ -156,7 +156,7 @@ L<ciphers(1)>, L<s_server(1)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/smime.pod b/doc/man1/smime.pod
index 7f224fdc..bf40d04c 100644
--- a/doc/man1/smime.pod
+++ b/doc/man1/smime.pod
@@ -295,7 +295,7 @@ specified, the argument is given to the engine as a key identifier.
=item B<-passin arg>
The private key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-rand file...>
@@ -514,7 +514,7 @@ The -no_alt_chains option was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/spkac.pod b/doc/man1/spkac.pod
index 655f1358..87e1b4bb 100644
--- a/doc/man1/spkac.pod
+++ b/doc/man1/spkac.pod
@@ -60,7 +60,7 @@ The default is PEM.
=item B<-passin password>
The input file password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-challenge string>
@@ -145,7 +145,7 @@ L<ca(1)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/storeutl.pod b/doc/man1/storeutl.pod
index a8d82bfb..3d2cb60b 100644
--- a/doc/man1/storeutl.pod
+++ b/doc/man1/storeutl.pod
@@ -51,7 +51,7 @@ this option prevents output of the PEM data.
=item B<-passin arg>
the key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-text>
@@ -123,7 +123,7 @@ The B<openssl> B<storeutl> app was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/ts.pod b/doc/man1/ts.pod
index ec57ec7e..9e1ffd5d 100644
--- a/doc/man1/ts.pod
+++ b/doc/man1/ts.pod
@@ -101,23 +101,23 @@ the hash to the TSA.
=item 2.
The TSA attaches the current date and time to the received hash value,
-signs them and sends the time stamp token back to the client. By
+signs them and sends the timestamp token back to the client. By
creating this token the TSA certifies the existence of the original
data file at the time of response generation.
=item 3.
-The TSA client receives the time stamp token and verifies the
+The TSA client receives the timestamp token and verifies the
signature on it. It also checks if the token contains the same hash
value that it had sent to the TSA.
=back
-There is one DER encoded protocol data unit defined for transporting a time
-stamp request to the TSA and one for sending the time stamp response
+There is one DER encoded protocol data unit defined for transporting
+a timestamp request to the TSA and one for sending the timestamp response
back to the client. The B<ts> command has three main functions:
-creating a time stamp request based on a data file,
-creating a time stamp response based on a request, verifying if a
+creating a timestamp request based on a data file,
+creating a timestamp response based on a request, verifying if a
response corresponds to a particular request or a data file.
There is no support for sending the requests/responses automatically
@@ -128,7 +128,7 @@ requests either by ftp or e-mail.
=head2 Time Stamp Request generation
-The B<-query> switch can be used for creating and printing a time stamp
+The B<-query> switch can be used for creating and printing a timestamp
request with the following options:
=over 4
@@ -154,7 +154,7 @@ see L<openssl(1)/COMMAND SUMMARY>.
=item B<-data> file_to_hash
-The data file for which the time stamp request needs to be
+The data file for which the timestamp request needs to be
created. stdin is the default if neither the B<-data> nor the B<-digest>
parameter is specified. (Optional)
@@ -175,7 +175,7 @@ The default is SHA-1. (Optional)
=item B<-tspolicy> object_id
The policy that the client expects the TSA to use for creating the
-time stamp token. Either the dotted OID notation or OID names defined
+timestamp token. Either the dotted OID notation or OID names defined
in the config file can be used. If no policy is requested the TSA will
use its own default policy. (Optional)
@@ -193,7 +193,7 @@ response. (Optional)
=item B<-in> request.tsq
-This option specifies a previously created time stamp request in DER
+This option specifies a previously created timestamp request in DER
format that will be printed into the output file. Useful when you need
to examine the content of a request in human-readable
format. (Optional)
@@ -212,13 +212,13 @@ instead of DER. (Optional)
=head2 Time Stamp Response generation
-A time stamp response (TimeStampResp) consists of a response status
-and the time stamp token itself (ContentInfo), if the token generation was
-successful. The B<-reply> command is for creating a time stamp
-response or time stamp token based on a request and printing the
+A timestamp response (TimeStampResp) consists of a response status
+and the timestamp token itself (ContentInfo), if the token generation was
+successful. The B<-reply> command is for creating a timestamp
+response or timestamp token based on a request and printing the
response/token in human-readable format. If B<-token_out> is not
-specified the output is always a time stamp response (TimeStampResp),
-otherwise it is a time stamp token (ContentInfo).
+specified the output is always a timestamp response (TimeStampResp),
+otherwise it is a timestamp token (ContentInfo).
=over 4
@@ -237,12 +237,12 @@ used, see B<CONFIGURATION FILE OPTIONS> for details. (Optional)
=item B<-queryfile> request.tsq
-The name of the file containing a DER encoded time stamp request. (Optional)
+The name of the file containing a DER encoded timestamp request. (Optional)
=item B<-passin> password_src
Specifies the password source for the private key of the TSA. See
-B<PASS PHRASE ARGUMENTS> in L<openssl(1)>. (Optional)
+L<openssl(1)/Pass Phrase Options>. (Optional)
=item B<-signer> tsa_cert.pem
@@ -282,19 +282,19 @@ B<default_policy> config file option. (Optional)
=item B<-in> response.tsr
-Specifies a previously created time stamp response or time stamp token
+Specifies a previously created timestamp response or timestamp token
(if B<-token_in> is also specified) in DER format that will be written
to the output file. This option does not require a request, it is
useful e.g. when you need to examine the content of a response or
-token or you want to extract the time stamp token from a response. If
-the input is a token and the output is a time stamp response a default
+token or you want to extract the timestamp token from a response. If
+the input is a token and the output is a timestamp response a default
'granted' status info is added to the token. (Optional)
=item B<-token_in>
This flag can be used together with the B<-in> option and indicates
-that the input is a DER encoded time stamp token (ContentInfo) instead
-of a time stamp response (TimeStampResp). (Optional)
+that the input is a DER encoded timestamp token (ContentInfo) instead
+of a timestamp response (TimeStampResp). (Optional)
=item B<-out> response.tsr
@@ -304,7 +304,7 @@ stdout. (Optional)
=item B<-token_out>
-The output is a time stamp token (ContentInfo) instead of time stamp
+The output is a timestamp token (ContentInfo) instead of timestamp
response (TimeStampResp). (Optional)
=item B<-text>
@@ -323,8 +323,8 @@ for all available algorithms. Default is builtin. (Optional)
=head2 Time Stamp Response verification
-The B<-verify> command is for verifying if a time stamp response or time
-stamp token is valid and matches a particular time stamp request or
+The B<-verify> command is for verifying if a timestamp response or
+timestamp token is valid and matches a particular timestamp request or
data file. The B<-verify> command does not use the configuration file.
=over 4
@@ -345,18 +345,18 @@ specified with this one. (Optional)
=item B<-queryfile> request.tsq
-The original time stamp request in DER format. The B<-data> and B<-digest>
+The original timestamp request in DER format. The B<-data> and B<-digest>
options must not be specified with this one. (Optional)
=item B<-in> response.tsr
-The time stamp response that needs to be verified in DER format. (Mandatory)
+The timestamp response that needs to be verified in DER format. (Mandatory)
=item B<-token_in>
This flag can be used together with the B<-in> option and indicates
-that the input is a DER encoded time stamp token (ContentInfo) instead
-of a time stamp response (TimeStampResp). (Optional)
+that the input is a DER encoded timestamp token (ContentInfo) instead
+of a timestamp response (TimeStampResp). (Optional)
=item B<-CApath> trusted_cert_path
@@ -430,7 +430,7 @@ See L<ca(1)> for description. (Optional)
=item B<serial>
The name of the file containing the hexadecimal serial number of the
-last time stamp response created. This number is incremented by 1 for
+last timestamp response created. This number is incremented by 1 for
each response. If the file does not exist at the time of response
generation a new file is created with serial number 1. (Mandatory)
@@ -487,7 +487,7 @@ the components is missing zero is assumed for that field. (Optional)
=item B<clock_precision_digits>
Specifies the maximum number of digits, which represent the fraction of
-seconds, that need to be included in the time field. The trailing zeroes
+seconds, that need to be included in the time field. The trailing zeros
must be removed from the time, so there might actually be fewer digits,
or no fraction of seconds at all. Supported only on UNIX platforms.
The maximum value is 6, default is 0.
@@ -530,13 +530,13 @@ openssl/apps/openssl.cnf will do.
=head2 Time Stamp Request
-To create a time stamp request for design1.txt with SHA-1
+To create a timestamp request for design1.txt with SHA-1
without nonce and policy and no certificate is required in the response:
openssl ts -query -data design1.txt -no_nonce \
-out design1.tsq
-To create a similar time stamp request with specifying the message imprint
+To create a similar timestamp request with specifying the message imprint
explicitly:
openssl ts -query -digest b7e5d3f93198b38379852f2c04e78d73abdd0f4b \
@@ -546,7 +546,7 @@ To print the content of the previous request in human readable format:
openssl ts -query -in design1.tsq -text
-To create a time stamp request which includes the MD-5 digest
+To create a timestamp request which includes the MD-5 digest
of design2.txt, requests the signer certificate and nonce,
specifies a policy id (assuming the tsa_policy1 name is defined in the
OID section of the config file):
@@ -568,7 +568,7 @@ below assume that cacert.pem contains the certificate of the CA,
tsacert.pem is the signing certificate issued by cacert.pem and
tsakey.pem is the private key of the TSA.
-To create a time stamp response for a request:
+To create a timestamp response for a request:
openssl ts -reply -queryfile design1.tsq -inkey tsakey.pem \
-signer tsacert.pem -out design1.tsr
@@ -577,44 +577,44 @@ If you want to use the settings in the config file you could just write:
openssl ts -reply -queryfile design1.tsq -out design1.tsr
-To print a time stamp reply to stdout in human readable format:
+To print a timestamp reply to stdout in human readable format:
openssl ts -reply -in design1.tsr -text
-To create a time stamp token instead of time stamp response:
+To create a timestamp token instead of timestamp response:
openssl ts -reply -queryfile design1.tsq -out design1_token.der -token_out
-To print a time stamp token to stdout in human readable format:
+To print a timestamp token to stdout in human readable format:
openssl ts -reply -in design1_token.der -token_in -text -token_out
-To extract the time stamp token from a response:
+To extract the timestamp token from a response:
openssl ts -reply -in design1.tsr -out design1_token.der -token_out
-To add 'granted' status info to a time stamp token thereby creating a
+To add 'granted' status info to a timestamp token thereby creating a
valid response:
openssl ts -reply -in design1_token.der -token_in -out design1.tsr
=head2 Time Stamp Verification
-To verify a time stamp reply against a request:
+To verify a timestamp reply against a request:
openssl ts -verify -queryfile design1.tsq -in design1.tsr \
-CAfile cacert.pem -untrusted tsacert.pem
-To verify a time stamp reply that includes the certificate chain:
+To verify a timestamp reply that includes the certificate chain:
openssl ts -verify -queryfile design2.tsq -in design2.tsr \
-CAfile cacert.pem
-To verify a time stamp token against the original data file:
+To verify a timestamp token against the original data file:
openssl ts -verify -data design2.txt -in design2.tsr \
-CAfile cacert.pem
-To verify a time stamp token against a message imprint:
+To verify a timestamp token against a message imprint:
openssl ts -verify -digest b7e5d3f93198b38379852f2c04e78d73abdd0f4b \
-in design2.tsr -CAfile cacert.pem
@@ -628,7 +628,7 @@ You could also look at the 'test' directory for more examples.
=item *
-No support for time stamps over SMTP, though it is quite easy
+No support for timestamps over SMTP, though it is quite easy
to implement an automatic e-mail based TSA with L<procmail(1)>
and L<perl(1)>. HTTP server support is provided in the form of
a separate apache module. HTTP client support is provided by
@@ -638,7 +638,7 @@ L<tsget(1)>. Pure TCP/IP protocol is not supported.
The file containing the last serial number of the TSA is not
locked when being read or written. This is a problem if more than one
-instance of L<openssl(1)> is trying to create a time stamp
+instance of L<openssl(1)> is trying to create a timestamp
response at the same time. This is not an issue when using the apache
server module, it does proper locking.
@@ -665,7 +665,7 @@ L<config(5)>
=head1 COPYRIGHT
-Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/tsget.pod b/doc/man1/tsget.pod
index 43bf2c7e..8fe417f2 100644
--- a/doc/man1/tsget.pod
+++ b/doc/man1/tsget.pod
@@ -24,15 +24,15 @@ B<-h> server_url
=head1 DESCRIPTION
-The B<tsget> command can be used for sending a time stamp request, as
-specified in B<RFC 3161>, to a time stamp server over HTTP or HTTPS and storing
-the time stamp response in a file. This tool cannot be used for creating the
+The B<tsget> command can be used for sending a timestamp request, as
+specified in B<RFC 3161>, to a timestamp server over HTTP or HTTPS and storing
+the timestamp response in a file. This tool cannot be used for creating the
requests and verifying responses, you can use the OpenSSL B<ts(1)> command to
do that. B<tsget> can send several requests to the server without closing
the TCP connection if more than one requests are specified on the command
line.
-The tool sends the following HTTP request for each time stamp request:
+The tool sends the following HTTP request for each timestamp request:
POST url HTTP/1.1
User-Agent: OpenTSA tsget.pl/<version>
@@ -53,7 +53,7 @@ written to a file without any interpretation.
=item B<-h> server_url
-The URL of the HTTP/HTTPS server listening for time stamp requests.
+The URL of the HTTP/HTTPS server listening for timestamp requests.
=item B<-e> extension
@@ -64,8 +64,8 @@ the input files. Default extension is '.tsr'. (Optional)
=item B<-o> output
This option can be specified only when just one request is sent to the
-server. The time stamp response will be written to the given output file. '-'
-means standard output. In case of multiple time stamp requests or the absence
+server. The timestamp response will be written to the given output file. '-'
+means standard output. In case of multiple timestamp requests or the absence
of this argument the names of the output files will be derived from the names
of the input files and the default or specified extension argument. (Optional)
@@ -124,7 +124,7 @@ The name of an EGD socket to get random data from. (Optional)
=item [request]...
-List of files containing B<RFC 3161> DER-encoded time stamp requests. If no
+List of files containing B<RFC 3161> DER-encoded timestamp requests. If no
requests are specified only one request will be sent to the server and it will be
read from the standard input. (Optional)
@@ -139,35 +139,35 @@ arguments.
=head1 EXAMPLES
The examples below presume that B<file1.tsq> and B<file2.tsq> contain valid
-time stamp requests, tsa.opentsa.org listens at port 8080 for HTTP requests
+timestamp requests, tsa.opentsa.org listens at port 8080 for HTTP requests
and at port 8443 for HTTPS requests, the TSA service is available at the /tsa
absolute path.
-Get a time stamp response for file1.tsq over HTTP, output is written to
+Get a timestamp response for file1.tsq over HTTP, output is written to
file1.tsr:
tsget -h http://tsa.opentsa.org:8080/tsa file1.tsq
-Get a time stamp response for file1.tsq and file2.tsq over HTTP showing
+Get a timestamp response for file1.tsq and file2.tsq over HTTP showing
progress, output is written to file1.reply and file2.reply respectively:
tsget -h http://tsa.opentsa.org:8080/tsa -v -e .reply \
file1.tsq file2.tsq
-Create a time stamp request, write it to file3.tsq, send it to the server and
+Create a timestamp request, write it to file3.tsq, send it to the server and
write the response to file3.tsr:
openssl ts -query -data file3.txt -cert | tee file3.tsq \
| tsget -h http://tsa.opentsa.org:8080/tsa \
-o file3.tsr
-Get a time stamp response for file1.tsq over HTTPS without client
+Get a timestamp response for file1.tsq over HTTPS without client
authentication:
tsget -h https://tsa.opentsa.org:8443/tsa \
-C cacerts.pem file1.tsq
-Get a time stamp response for file1.tsq over HTTPS with certificate-based
+Get a timestamp response for file1.tsq over HTTPS with certificate-based
client authentication (it will ask for the passphrase if client_key.pem is
protected):
@@ -192,7 +192,7 @@ B<RFC 3161>
=head1 COPYRIGHT
-Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/verify.pod b/doc/man1/verify.pod
index 63ba850b..da2b7024 100644
--- a/doc/man1/verify.pod
+++ b/doc/man1/verify.pod
@@ -98,8 +98,11 @@ current system time. B<timestamp> is the number of seconds since
=item B<-check_ss_sig>
-Verify the signature on the self-signed root CA. This is disabled by default
-because it doesn't add any security.
+Verify the signature of
+the last certificate in a chain if the certificate is supposedly self-signed.
+This is prohibited and will result in an error if it is a non-conforming CA
+certificate with key usage restrictions not including the keyCertSign bit.
+This verification is disabled by default because it doesn't add any security.
=item B<-CRLfile file>
@@ -333,7 +336,7 @@ in PEM format.
=head1 VERIFY OPERATION
The B<verify> program uses the same functions as the internal SSL and S/MIME
-verification, therefore this description applies to these verify operations
+verification, therefore, this description applies to these verify operations
too.
There is one crucial difference between the verify operations performed
@@ -379,10 +382,14 @@ should be trusted for the supplied purpose.
For compatibility with previous versions of OpenSSL, a certificate with no
trust settings is considered to be valid for all purposes.
-The final operation is to check the validity of the certificate chain. The validity
-period is checked against the current system time and the notBefore and notAfter
-dates in the certificate. The certificate signatures are also checked at this
-point.
+The final operation is to check the validity of the certificate chain.
+For each element in the chain, including the root CA certificate,
+the validity period as specified by the C<notBefore> and C<notAfter> fields
+is checked against the current system time.
+The B<-attime> flag may be used to use a reference time other than "now."
+The certificate signature is checked as well
+(except for the signature of the typically self-signed root CA certificate,
+which is verified only if the B<-check_ss_sig> option is given).
If all operations complete successfully then certificate is considered valid. If
any operation fails then the certificate is not valid.
@@ -769,7 +776,7 @@ is silently ignored.
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/x509.pod b/doc/man1/x509.pod
index 78787534..3c9b2f22 100644
--- a/doc/man1/x509.pod
+++ b/doc/man1/x509.pod
@@ -11,7 +11,7 @@ B<openssl> B<x509>
[B<-help>]
[B<-inform DER|PEM>]
[B<-outform DER|PEM>]
-[B<-keyform DER|PEM>]
+[B<-keyform DER|PEM|ENGINE>]
[B<-CAform DER|PEM>]
[B<-CAkeyform DER|PEM>]
[B<-in filename>]
@@ -44,7 +44,7 @@ B<openssl> B<x509>
[B<-setalias arg>]
[B<-days arg>]
[B<-set_serial n>]
-[B<-signkey filename>]
+[B<-signkey arg>]
[B<-passin arg>]
[B<-x509toreq>]
[B<-req>]
@@ -61,6 +61,7 @@ B<openssl> B<x509>
[B<-clrext>]
[B<-extfile filename>]
[B<-extensions section>]
+[B<-sigopt nm:v>]
[B<-rand file...>]
[B<-writerand file>]
[B<-engine id>]
@@ -254,7 +255,7 @@ Prints out the start and expiry dates of a certificate.
=item B<-checkend arg>
Checks if the certificate expires within the next B<arg> seconds and exits
-non-zero if yes it will expire or zero if not.
+nonzero if yes it will expire or zero if not.
=item B<-fingerprint>
@@ -349,10 +350,11 @@ can thus behave like a "mini CA".
=over 4
-=item B<-signkey filename>
+=item B<-signkey arg>
This option causes the input file to be self signed using the supplied
-private key.
+private key or engine. The private key's format is specified with the
+B<-keyform> option.
If the input file is a certificate it sets the issuer name to the
subject name (i.e. makes it self signed) changes the public key to the
@@ -366,10 +368,15 @@ If the input is a certificate request then a self signed certificate
is created using the supplied private key using the subject name in
the request.
+=item B<-sigopt nm:v>
+
+Pass options to the signature algorithm during sign or verify operations.
+Names and values of these options are algorithm-specific.
+
=item B<-passin arg>
The key password source. For more information about the format of B<arg>
-see the B<PASS PHRASE ARGUMENTS> section in L<openssl(1)>.
+see L<openssl(1)/Pass Phrase Options>.
=item B<-clrext>
@@ -378,7 +385,7 @@ certificate is being created from another certificate (for example with
the B<-signkey> or the B<-CA> options). Normally all extensions are
retained.
-=item B<-keyform PEM|DER>
+=item B<-keyform PEM|DER|ENGINE>
Specifies the format (DER or PEM) of the private key file used in the
B<-signkey> option.
@@ -925,7 +932,7 @@ the old form must have their links rebuilt using B<c_rehash> or similar.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ASN1_INTEGER_get_int64.pod b/doc/man3/ASN1_INTEGER_get_int64.pod
index 9b732907..faf34eb1 100644
--- a/doc/man3/ASN1_INTEGER_get_int64.pod
+++ b/doc/man3/ASN1_INTEGER_get_int64.pod
@@ -22,10 +22,10 @@ ASN1_INTEGER_get_int64, ASN1_INTEGER_get, ASN1_INTEGER_set_int64, ASN1_INTEGER_s
ASN1_INTEGER *BN_to_ASN1_INTEGER(const BIGNUM *bn, ASN1_INTEGER *ai);
BIGNUM *ASN1_INTEGER_to_BN(const ASN1_INTEGER *ai, BIGNUM *bn);
- int ASN1_ENUMERATED_get_int64(int64_t *pr, const ASN1_INTEGER *a);
+ int ASN1_ENUMERATED_get_int64(int64_t *pr, const ASN1_ENUMERATED *a);
long ASN1_ENUMERATED_get(const ASN1_ENUMERATED *a);
- int ASN1_ENUMERATED_set_int64(ASN1_INTEGER *a, int64_t r);
+ int ASN1_ENUMERATED_set_int64(ASN1_ENUMERATED *a, int64_t r);
int ASN1_ENUMERATED_set(ASN1_ENUMERATED *a, long v);
ASN1_ENUMERATED *BN_to_ASN1_ENUMERATED(BIGNUM *bn, ASN1_ENUMERATED *ai);
@@ -81,7 +81,7 @@ instead.
In general an B<ASN1_INTEGER> or B<ASN1_ENUMERATED> type can contain an
integer of almost arbitrary size and so cannot always be represented by a C
-B<int64_t> type. However in many cases (for example version numbers) they
+B<int64_t> type. However, in many cases (for example version numbers) they
represent small integers which can be more easily manipulated if converted to
an appropriate C integer type.
@@ -123,7 +123,7 @@ were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ASN1_STRING_length.pod b/doc/man3/ASN1_STRING_length.pod
index 85d35654..ab109c2e 100644
--- a/doc/man3/ASN1_STRING_length.pod
+++ b/doc/man3/ASN1_STRING_length.pod
@@ -72,7 +72,7 @@ In general it cannot be assumed that the data returned by ASN1_STRING_data()
is null terminated or does not contain embedded nulls. The actual format
of the data will depend on the actual string type itself: for example
for an IA5String the data will be ASCII, for a BMPString two bytes per
-character in big endian format, and for an UTF8String it will be in UTF8 format.
+character in big endian format, and for a UTF8String it will be in UTF8 format.
Similar care should be take to ensure the data is in the correct format
when calling ASN1_STRING_set().
@@ -103,7 +103,7 @@ L<ERR_get_error(3)>
=head1 COPYRIGHT
-Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ASN1_TIME_set.pod b/doc/man3/ASN1_TIME_set.pod
index 5ed81751..584ae232 100644
--- a/doc/man3/ASN1_TIME_set.pod
+++ b/doc/man3/ASN1_TIME_set.pod
@@ -117,7 +117,7 @@ one or both (depending on the time difference) of B<*pday> and B<*psec>
will be positive. If B<to> represents a time earlier than B<from> then
one or both of B<*pday> and B<*psec> will be negative. If B<to> and B<from>
represent the same time then B<*pday> and B<*psec> will both be zero.
-If both B<*pday> and B<*psec> are non-zero they will always have the same
+If both B<*pday> and B<*psec> are nonzero they will always have the same
sign. The value of B<*psec> will always be less than the number of seconds
in a day. If B<from> or B<to> is NULL the current time is used.
@@ -167,7 +167,7 @@ format.
=head1 BUGS
ASN1_TIME_print(), ASN1_UTCTIME_print() and ASN1_GENERALIZEDTIME_print()
-do not print out the time zone: it either prints out "GMT" or nothing. But all
+do not print out the timezone: it either prints out "GMT" or nothing. But all
certificates complying with RFC5280 et al use GMT anyway.
Use the ASN1_TIME_normalize() function to normalize the time value before
@@ -248,7 +248,7 @@ The ASN1_TIME_compare() function was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ASN1_TYPE_get.pod b/doc/man3/ASN1_TYPE_get.pod
index 70c56878..f14850b3 100644
--- a/doc/man3/ASN1_TYPE_get.pod
+++ b/doc/man3/ASN1_TYPE_get.pod
@@ -33,7 +33,7 @@ up after the call.
ASN1_TYPE_set1() sets the value of B<a> to B<type> a copy of B<value>.
ASN1_TYPE_cmp() compares ASN.1 types B<a> and B<b> and returns 0 if
-they are identical and non-zero otherwise.
+they are identical and nonzero otherwise.
ASN1_TYPE_unpack_sequence() attempts to parse the SEQUENCE present in
B<t> using the ASN.1 structure B<it>. If successful it returns a pointer
@@ -62,14 +62,14 @@ length octets).
ASN1_TYPE_cmp() may not return zero if two types are equivalent but have
different encodings. For example the single content octet of the boolean TRUE
-value under BER can have any non-zero encoding but ASN1_TYPE_cmp() will
+value under BER can have any nonzero encoding but ASN1_TYPE_cmp() will
only return zero if the values are the same.
If either or both of the parameters passed to ASN1_TYPE_cmp() is NULL the
-return value is non-zero. Technically if both parameters are NULL the two
-types could be absent OPTIONAL fields and so should match, however passing
+return value is nonzero. Technically if both parameters are NULL the two
+types could be absent OPTIONAL fields and so should match, however, passing
NULL values could also indicate a programming error (for example an
-unparseable type which returns NULL) for types which do B<not> match. So
+unparsable type which returns NULL) for types which do B<not> match. So
applications should handle the case of two absent values separately.
=head1 RETURN VALUES
@@ -80,7 +80,7 @@ ASN1_TYPE_set() does not return a value.
ASN1_TYPE_set1() returns 1 for success and 0 for failure.
-ASN1_TYPE_cmp() returns 0 if the types are identical and non-zero otherwise.
+ASN1_TYPE_cmp() returns 0 if the types are identical and nonzero otherwise.
ASN1_TYPE_unpack_sequence() returns a pointer to an ASN.1 structure or
NULL on failure.
@@ -90,7 +90,7 @@ NULL on failure.
=head1 COPYRIGHT
-Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ASYNC_WAIT_CTX_new.pod b/doc/man3/ASYNC_WAIT_CTX_new.pod
index e4d809c0..0e8c1d80 100644
--- a/doc/man3/ASYNC_WAIT_CTX_new.pod
+++ b/doc/man3/ASYNC_WAIT_CTX_new.pod
@@ -50,7 +50,7 @@ job in B<*fd>. The number of file descriptors returned will be stored in
B<*numfds>. It is the caller's responsibility to ensure that sufficient memory
has been allocated in B<*fd> to receive all the file descriptors. Calling
ASYNC_WAIT_CTX_get_all_fds() with a NULL B<fd> value will return no file
-descriptors but will still populate B<*numfds>. Therefore application code is
+descriptors but will still populate B<*numfds>. Therefore, application code is
typically expected to call this function twice: once to get the number of fds,
and then again when sufficient memory has been allocated. If only one
asynchronous engine is being used then normally this call will only ever return
@@ -117,7 +117,7 @@ success or 0 on error.
On Windows platforms the openssl/async.h header is dependent on some
of the types customarily made available by including windows.h. The
application developer is likely to require control over when the latter
-is included, commonly as one of the first included headers. Therefore
+is included, commonly as one of the first included headers. Therefore,
it is defined as an application developer's responsibility to include
windows.h prior to async.h.
@@ -134,7 +134,7 @@ were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ASYNC_start_job.pod b/doc/man3/ASYNC_start_job.pod
index b06db767..810b9678 100644
--- a/doc/man3/ASYNC_start_job.pod
+++ b/doc/man3/ASYNC_start_job.pod
@@ -166,7 +166,7 @@ otherwise.
On Windows platforms the openssl/async.h header is dependent on some
of the types customarily made available by including windows.h. The
application developer is likely to require control over when the latter
-is included, commonly as one of the first included headers. Therefore
+is included, commonly as one of the first included headers. Therefore,
it is defined as an application developer's responsibility to include
windows.h prior to async.h.
@@ -321,7 +321,7 @@ added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BF_encrypt.pod b/doc/man3/BF_encrypt.pod
index b20f634d..02e04b7f 100644
--- a/doc/man3/BF_encrypt.pod
+++ b/doc/man3/BF_encrypt.pod
@@ -60,7 +60,7 @@ recipient needs to know what it was initialized with, or it won't be able
to decrypt. Some programs and protocols simplify this, like SSH, where
B<ivec> is simply initialized to zero.
BF_cbc_encrypt() operates on data that is a multiple of 8 bytes long, while
-BF_cfb64_encrypt() and BF_ofb64_encrypt() are used to encrypt an variable
+BF_cfb64_encrypt() and BF_ofb64_encrypt() are used to encrypt a variable
number of bytes (the amount does not have to be an exact multiple of 8). The
purpose of the latter two is to simulate stream ciphers, and therefore, they
need the parameter B<num>, which is a pointer to an integer where the current
@@ -109,7 +109,7 @@ L<des_modes(7)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_ADDR.pod b/doc/man3/BIO_ADDR.pod
index 4b169e8a..e9652ed5 100644
--- a/doc/man3/BIO_ADDR.pod
+++ b/doc/man3/BIO_ADDR.pod
@@ -42,7 +42,7 @@ BIO_ADDR_free() frees a B<BIO_ADDR> created with BIO_ADDR_new().
BIO_ADDR_clear() clears any data held within the provided B<BIO_ADDR> and sets
it back to an uninitialised state.
-BIO_ADDR_rawmake() takes a protocol B<family>, an byte array of
+BIO_ADDR_rawmake() takes a protocol B<family>, a byte array of
size B<wherelen> with an address in network byte order pointed at
by B<where> and a port number in network byte order in B<port> (except
for the B<AF_UNIX> protocol family, where B<port> is meaningless and
@@ -115,7 +115,7 @@ L<BIO_connect(3)>, L<BIO_s_connect(3)>
=head1 COPYRIGHT
-Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_ADDRINFO.pod b/doc/man3/BIO_ADDRINFO.pod
index 8ca6454a..37609666 100644
--- a/doc/man3/BIO_ADDRINFO.pod
+++ b/doc/man3/BIO_ADDRINFO.pod
@@ -94,7 +94,7 @@ information they should return isn't available.
The BIO_lookup_ex() implementation uses the platform provided getaddrinfo()
function. On Linux it is known that specifying 0 for the protocol will not
-return any SCTP based addresses when calling getaddrinfo(). Therefore if an SCTP
+return any SCTP based addresses when calling getaddrinfo(). Therefore, if an SCTP
address is required then the B<protocol> parameter to BIO_lookup_ex() should be
explicitly set to IPPROTO_SCTP. The same may be true on other platforms.
@@ -104,7 +104,7 @@ The BIO_lookup_ex() function was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2016-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_connect.pod b/doc/man3/BIO_connect.pod
index 853315aa..0ebf17ca 100644
--- a/doc/man3/BIO_connect.pod
+++ b/doc/man3/BIO_connect.pod
@@ -55,7 +55,7 @@ Enables regular sending of keep-alive messages.
=item BIO_SOCK_NONBLOCK
-Sets the socket to non-blocking mode.
+Sets the socket to nonblocking mode.
=item BIO_SOCK_NODELAY
@@ -107,7 +107,7 @@ Use the functions described above instead.
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_ctrl.pod b/doc/man3/BIO_ctrl.pod
index 60cd1088..2e438c3c 100644
--- a/doc/man3/BIO_ctrl.pod
+++ b/doc/man3/BIO_ctrl.pod
@@ -109,7 +109,7 @@ Filter BIOs if they do not internally handle a particular BIO_ctrl()
operation usually pass the operation to the next BIO in the chain.
This often means there is no need to locate the required BIO for
a particular operation, it can be called on a chain and it will
-be automatically passed to the relevant BIO. However this can cause
+be automatically passed to the relevant BIO. However, this can cause
unexpected results: for example no current filter BIOs implement
BIO_seek(), but this may still succeed if the chain ends in a FILE
or file descriptor BIO.
@@ -126,7 +126,7 @@ the case of BIO_seek() on a file BIO for a successful operation.
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_f_buffer.pod b/doc/man3/BIO_f_buffer.pod
index 8ceaaa3c..047a11d2 100644
--- a/doc/man3/BIO_f_buffer.pod
+++ b/doc/man3/BIO_f_buffer.pod
@@ -49,10 +49,20 @@ is expanded.
These functions, other than BIO_f_buffer(), are implemented as macros.
-Buffering BIOs implement BIO_gets() by using BIO_read_ex() operations on the
-next BIO in the chain. By prepending a buffering BIO to a chain it is therefore
-possible to provide BIO_gets() functionality if the following BIOs do not
-support it (for example SSL BIOs).
+Buffering BIOs implement BIO_read_ex() and BIO_gets() by using
+BIO_read_ex() operations on the next BIO in the chain and storing the
+result in an internal buffer, from which bytes are given back to the
+caller as appropriate for the call; a BIO_gets() is guaranteed to give
+the caller a whole line, and BIO_read_ex() is guaranteed to give the
+caller the number of bytes it asks for, unless there's an error or end
+of communication is reached in the next BIO. By prepending a
+buffering BIO to a chain it is therefore possible to provide
+BIO_gets() or exact size BIO_read_ex() functionality if the following
+BIOs do not support it.
+
+Do not add more than one BIO_f_buffer() to a BIO chain. The result of
+doing so will force a full read of the size of the internal buffer of
+the top BIO_f_buffer(), which is 4 KiB at a minimum.
Data is only written to the next BIO in the chain when the write buffer fills
or when BIO_flush() is called. It is therefore important to call BIO_flush()
@@ -82,7 +92,7 @@ L<BIO_ctrl(3)>.
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_get_data.pod b/doc/man3/BIO_get_data.pod
index c3137c4c..da1651c7 100644
--- a/doc/man3/BIO_get_data.pod
+++ b/doc/man3/BIO_get_data.pod
@@ -25,7 +25,7 @@ the BIO. This data can subsequently be retrieved via a call to BIO_get_data().
This can be used by custom BIOs for storing implementation specific information.
The BIO_set_init() function sets the value of the BIO's "init" flag to indicate
-whether initialisation has been completed for this BIO or not. A non-zero value
+whether initialisation has been completed for this BIO or not. A nonzero value
indicates that initialisation is complete, whilst zero indicates that it is not.
Often initialisation will complete during initial construction of the BIO. For
some BIOs however, initialisation may not complete until after additional steps
@@ -55,7 +55,7 @@ The functions described here were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_get_ex_new_index.pod b/doc/man3/BIO_get_ex_new_index.pod
index e61228f1..89008531 100644
--- a/doc/man3/BIO_get_ex_new_index.pod
+++ b/doc/man3/BIO_get_ex_new_index.pod
@@ -39,7 +39,7 @@ L<CRYPTO_get_ex_new_index(3)>.
These functions handle application-specific data for OpenSSL data
structures.
-TYPE_get_new_ex_index() is a macro that calls CRYPTO_get_ex_new_index()
+TYPE_get_ex_new_index() is a macro that calls CRYPTO_get_ex_new_index()
with the correct B<index> value.
TYPE_set_ex_data() is a function that calls CRYPTO_set_ex_data() with
@@ -50,7 +50,7 @@ an offset into the opaque exdata part of the TYPE object.
=head1 RETURN VALUES
-TYPE_get_new_ex_index() returns a new index on success or -1 on error.
+TYPE_get_ex_new_index() returns a new index on success or -1 on error.
TYPE_set_ex_data() returns 1 on success or 0 on error.
@@ -62,7 +62,7 @@ L<CRYPTO_get_ex_new_index(3)>.
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_parse_hostserv.pod b/doc/man3/BIO_parse_hostserv.pod
index 73cb6100..35c14d1b 100644
--- a/doc/man3/BIO_parse_hostserv.pod
+++ b/doc/man3/BIO_parse_hostserv.pod
@@ -19,10 +19,10 @@ BIO_parse_hostserv
=head1 DESCRIPTION
BIO_parse_hostserv() will parse the information given in B<hostserv>,
-create strings with the host name and service name and give those
+create strings with the hostname and service name and give those
back via B<host> and B<service>. Those will need to be freed after
they are used. B<hostserv_prio> helps determine if B<hostserv> shall
-be interpreted primarily as a host name or a service name in ambiguous
+be interpreted primarily as a hostname or a service name in ambiguous
cases.
The syntax the BIO_parse_hostserv() recognises is:
@@ -68,7 +68,7 @@ L<BIO_ADDRINFO(3)>
=head1 COPYRIGHT
-Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_read.pod b/doc/man3/BIO_read.pod
index 270ab533..d0ebf32c 100644
--- a/doc/man3/BIO_read.pod
+++ b/doc/man3/BIO_read.pod
@@ -55,7 +55,7 @@ NUL is not included in the length returned by BIO_gets().
=head1 NOTES
A 0 or -1 return is not necessarily an indication of an error. In
-particular when the source/sink is non-blocking or of a certain type
+particular when the source/sink is nonblocking or of a certain type
it may merely be an indication that no data is currently available and that
the application should retry the operation later.
@@ -87,7 +87,7 @@ keep the '\n' at the end of the line in the buffer.
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_s_accept.pod b/doc/man3/BIO_s_accept.pod
index 37b6f4d8..312c881b 100644
--- a/doc/man3/BIO_s_accept.pod
+++ b/doc/man3/BIO_s_accept.pod
@@ -143,7 +143,7 @@ however because the accept BIO will still accept additional incoming
connections. This can be resolved by using BIO_pop() (see above)
and freeing up the accept BIO after the initial connection.
-If the underlying accept socket is non-blocking and BIO_do_accept() is
+If the underlying accept socket is nonblocking and BIO_do_accept() is
called to await an incoming connection it is possible for
BIO_should_io_special() with the reason BIO_RR_ACCEPT. If this happens
then it is an indication that an accept attempt would block: the application
@@ -224,7 +224,7 @@ down each and finally closes both down.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_s_bio.pod b/doc/man3/BIO_s_bio.pod
index f78fe134..4837d194 100644
--- a/doc/man3/BIO_s_bio.pod
+++ b/doc/man3/BIO_s_bio.pod
@@ -144,7 +144,7 @@ without having to go through the SSL-interface.
...
BIO_new_bio_pair(&internal_bio, 0, &network_bio, 0);
SSL_set_bio(ssl, internal_bio, internal_bio);
- SSL_operations(); /* e.g SSL_read and SSL_write */
+ SSL_operations(); /* e.g. SSL_read and SSL_write */
...
application | TLS-engine
@@ -167,7 +167,7 @@ without having to go through the SSL-interface.
...
As the BIO pair will only buffer the data and never directly access the
-connection, it behaves non-blocking and will return as soon as the write
+connection, it behaves nonblocking and will return as soon as the write
buffer is full or the read buffer is drained. Then the application has to
flush the write buffer and/or fill the read buffer.
@@ -191,7 +191,7 @@ L<BIO_should_retry(3)>, L<BIO_read_ex(3)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_s_connect.pod b/doc/man3/BIO_s_connect.pod
index 4f145297..1223fad8 100644
--- a/doc/man3/BIO_s_connect.pod
+++ b/doc/man3/BIO_s_connect.pod
@@ -106,7 +106,7 @@ If blocking I/O is set then a non positive return value from any
I/O call is caused by an error condition, although a zero return
will normally mean that the connection was closed.
-If the port name is supplied as part of the host name then this will
+If the port name is supplied as part of the hostname then this will
override any value set with BIO_set_conn_port(). This may be undesirable
if the application does not wish to allow connection to arbitrary
ports. This can be avoided by checking for the presence of the ':'
@@ -203,7 +203,7 @@ Use BIO_set_conn_address() and BIO_get_conn_address() instead.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_s_file.pod b/doc/man3/BIO_s_file.pod
index 2ed0bb3c..f1a75f7c 100644
--- a/doc/man3/BIO_s_file.pod
+++ b/doc/man3/BIO_s_file.pod
@@ -78,7 +78,7 @@ in stdio behaviour will be mirrored by the corresponding BIO.
On Windows BIO_new_files reserves for the filename argument to be
UTF-8 encoded. In other words if you have to make it work in multi-
-lingual environment, encode file names in UTF-8.
+lingual environment, encode filenames in UTF-8.
=head1 RETURN VALUES
@@ -158,7 +158,7 @@ L<BIO_set_close(3)>, L<BIO_get_close(3)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_set_callback.pod b/doc/man3/BIO_set_callback.pod
index 291456ba..f7ee104c 100644
--- a/doc/man3/BIO_set_callback.pod
+++ b/doc/man3/BIO_set_callback.pod
@@ -31,7 +31,7 @@ BIO_callback_fn_ex, BIO_callback_fn
=head1 DESCRIPTION
BIO_set_callback_ex() and BIO_get_callback_ex() set and retrieve the BIO
-callback. The callback is called during most high level BIO operations. It can
+callback. The callback is called during most high-level BIO operations. It can
be used for debugging purposes to trace operations on a BIO or to modify its
operation.
@@ -230,7 +230,7 @@ in crypto/bio/bio_cb.c
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_add.pod b/doc/man3/BN_add.pod
index 0f0e4955..dccd4790 100644
--- a/doc/man3/BN_add.pod
+++ b/doc/man3/BN_add.pod
@@ -68,16 +68,16 @@ For division by powers of 2, use BN_rshift(3).
BN_mod() corresponds to BN_div() with I<dv> set to B<NULL>.
-BN_nnmod() reduces I<a> modulo I<m> and places the non-negative
+BN_nnmod() reduces I<a> modulo I<m> and places the nonnegative
remainder in I<r>.
-BN_mod_add() adds I<a> to I<b> modulo I<m> and places the non-negative
+BN_mod_add() adds I<a> to I<b> modulo I<m> and places the nonnegative
result in I<r>.
BN_mod_sub() subtracts I<b> from I<a> modulo I<m> and places the
-non-negative result in I<r>.
+nonnegative result in I<r>.
-BN_mod_mul() multiplies I<a> by I<b> and finds the non-negative
+BN_mod_mul() multiplies I<a> by I<b> and finds the nonnegative
remainder respective to modulus I<m> (C<r=(a*b) mod m>). I<r> may be
the same B<BIGNUM> as I<a> or I<b>. For more efficient algorithms for
repeated computations using the same modulus, see
@@ -119,7 +119,7 @@ L<BN_add_word(3)>, L<BN_set_bit(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_bn2bin.pod b/doc/man3/BN_bn2bin.pod
index b3cbc8cb..67595e05 100644
--- a/doc/man3/BN_bn2bin.pod
+++ b/doc/man3/BN_bn2bin.pod
@@ -37,7 +37,7 @@ memory.
BN_bn2binpad() also converts the absolute value of B<a> into big-endian form
and stores it at B<to>. B<tolen> indicates the length of the output buffer
-B<to>. The result is padded with zeroes if necessary. If B<tolen> is less than
+B<to>. The result is padded with zeros if necessary. If B<tolen> is less than
BN_num_bytes(B<a>) an error is returned.
BN_bin2bn() converts the positive integer in big-endian form of length
@@ -106,7 +106,7 @@ L<BN_num_bytes(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_generate_prime.pod b/doc/man3/BN_generate_prime.pod
index 31fbc1ff..25674d03 100644
--- a/doc/man3/BN_generate_prime.pod
+++ b/doc/man3/BN_generate_prime.pod
@@ -52,7 +52,9 @@ Deprecated:
BN_generate_prime_ex() generates a pseudo-random prime number of
at least bit length B<bits>. The returned number is probably prime
-with a negligible error.
+with a negligible error. If B<add> is B<NULL> the returned prime
+number will have exact bit length B<bits> with the top most two
+bits set.
If B<ret> is not B<NULL>, it will be used to store the number.
@@ -89,7 +91,9 @@ If B<add> is not B<NULL>, the prime will fulfill the condition p % B<add>
generator.
If B<safe> is true, it will be a safe prime (i.e. a prime p so
-that (p-1)/2 is also prime).
+that (p-1)/2 is also prime). If B<safe> is true, and B<rem> == B<NULL>
+the condition will be p % B<add> == 3.
+It is recommended that B<add> is a multiple of 4.
The random generator must be seeded prior to calling BN_generate_prime_ex().
If the automatic seeding or reseeding of the OpenSSL CSPRNG fails due to
@@ -123,7 +127,7 @@ For instance, to reach the 128 bit security level, B<nchecks> should be set to
If B<cb> is not B<NULL>, B<BN_GENCB_call(cb, 1, j)> is called
after the j-th iteration (j = 0, 1, ...). B<ctx> is a
-pre-allocated B<BN_CTX> (to save the overhead of allocating and
+preallocated B<BN_CTX> (to save the overhead of allocating and
freeing the structure in a loop), or B<NULL>.
BN_GENCB_call() calls the callback function held in the B<BN_GENCB> structure
@@ -206,7 +210,7 @@ and BN_GENCB_get_arg() functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_mod_mul_montgomery.pod b/doc/man3/BN_mod_mul_montgomery.pod
index 7f47e94c..911945fd 100644
--- a/doc/man3/BN_mod_mul_montgomery.pod
+++ b/doc/man3/BN_mod_mul_montgomery.pod
@@ -49,7 +49,7 @@ the result in I<r>.
BN_from_montgomery() performs the Montgomery reduction I<r> = I<a>*R^-1.
BN_to_montgomery() computes Mont(I<a>,R^2), i.e. I<a>*R.
-Note that I<a> must be non-negative and smaller than the modulus.
+Note that I<a> must be nonnegative and smaller than the modulus.
For all functions, I<ctx> is a previously allocated B<BN_CTX> used for
temporary variables.
@@ -80,7 +80,7 @@ BN_MONT_CTX_init() was removed in OpenSSL 1.1.0
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_set_bit.pod b/doc/man3/BN_set_bit.pod
index af02983c..6e0a11a2 100644
--- a/doc/man3/BN_set_bit.pod
+++ b/doc/man3/BN_set_bit.pod
@@ -33,15 +33,15 @@ error occurs if B<a> is shorter than B<n> bits.
BN_is_bit_set() tests if bit B<n> in B<a> is set.
BN_mask_bits() truncates B<a> to an B<n> bit number
-(C<a&=~((~0)E<gt>E<gt>n)>). An error occurs if B<a> already is
+(C<a&=~((~0)E<lt>E<lt>n)>). An error occurs if B<a> already is
shorter than B<n> bits.
BN_lshift() shifts B<a> left by B<n> bits and places the result in
-B<r> (C<r=a*2^n>). Note that B<n> must be non-negative. BN_lshift1() shifts
+B<r> (C<r=a*2^n>). Note that B<n> must be nonnegative. BN_lshift1() shifts
B<a> left by one and places the result in B<r> (C<r=2*a>).
BN_rshift() shifts B<a> right by B<n> bits and places the result in
-B<r> (C<r=a/2^n>). Note that B<n> must be non-negative. BN_rshift1() shifts
+B<r> (C<r=a/2^n>). Note that B<n> must be nonnegative. BN_rshift1() shifts
B<a> right by one and places the result in B<r> (C<r=a/2>).
For the shift functions, B<r> and B<a> may be the same variable.
@@ -59,7 +59,7 @@ L<BN_num_bytes(3)>, L<BN_add(3)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/CMS_verify.pod b/doc/man3/CMS_verify.pod
index be688681..c7dbb6b6 100644
--- a/doc/man3/CMS_verify.pod
+++ b/doc/man3/CMS_verify.pod
@@ -24,7 +24,7 @@ present in B<cms>. The content is written to B<out> if it is not NULL.
B<flags> is an optional set of flags, which can be used to modify the verify
operation.
-CMS_get0_signers() retrieves the signing certificate(s) from B<cms>, it must
+CMS_get0_signers() retrieves the signing certificate(s) from B<cms>, it may only
be called after a successful CMS_verify() operation.
=head1 VERIFY PROCESS
@@ -94,7 +94,7 @@ useful if one merely wishes to write the content to B<out> and its validity
is not considered important.
Chain verification should arguably be performed using the signing time rather
-than the current time. However since the signing time is supplied by the
+than the current time. However, since the signing time is supplied by the
signer it cannot be trusted without additional evidence (such as a trusted
timestamp).
@@ -122,7 +122,7 @@ L<ERR_get_error(3)>, L<CMS_sign(3)>
=head1 COPYRIGHT
-Copyright 2008-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/CRYPTO_THREAD_run_once.pod b/doc/man3/CRYPTO_THREAD_run_once.pod
index b919e2e4..946147e5 100644
--- a/doc/man3/CRYPTO_THREAD_run_once.pod
+++ b/doc/man3/CRYPTO_THREAD_run_once.pod
@@ -93,7 +93,7 @@ On Windows platforms the CRYPTO_THREAD_* types and functions in the
openssl/crypto.h header are dependent on some of the types customarily
made available by including windows.h. The application developer is
likely to require control over when the latter is included, commonly as
-one of the first included headers. Therefore it is defined as an
+one of the first included headers. Therefore, it is defined as an
application developer's responsibility to include windows.h prior to
crypto.h where use of CRYPTO_THREAD_* types and functions is required.
@@ -161,7 +161,7 @@ L<crypto(7)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/CRYPTO_memcmp.pod b/doc/man3/CRYPTO_memcmp.pod
index 9182d007..20578c55 100644
--- a/doc/man3/CRYPTO_memcmp.pod
+++ b/doc/man3/CRYPTO_memcmp.pod
@@ -19,17 +19,17 @@ contents of the memory regions pointed to by B<a> and B<b>.
=head1 RETURN VALUES
-CRYPTO_memcmp() returns 0 if the memory regions are equal and non-zero
+CRYPTO_memcmp() returns 0 if the memory regions are equal and nonzero
otherwise.
=head1 NOTES
Unlike memcmp(2), this function cannot be used to order the two memory regions
-as the return value when they differ is undefined, other than being non-zero.
+as the return value when they differ is undefined, other than being nonzero.
=head1 COPYRIGHT
-Copyright 2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2019-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the Apache License 2.0 (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DES_random_key.pod b/doc/man3/DES_random_key.pod
index 04df6ec0..a5209905 100644
--- a/doc/man3/DES_random_key.pod
+++ b/doc/man3/DES_random_key.pod
@@ -120,7 +120,7 @@ is returned. If the key is a weak key, then -2 is returned. If an
error is returned, the key schedule is not generated.
DES_set_key() works like
-DES_set_key_checked() if the I<DES_check_key> flag is non-zero,
+DES_set_key_checked() if the I<DES_check_key> flag is nonzero,
otherwise like DES_set_key_unchecked(). These functions are available
for compatibility; it is recommended to use a function that does not
depend on a global variable.
@@ -137,7 +137,7 @@ DES_ecb_encrypt() is the basic DES encryption routine that encrypts or
decrypts a single 8-byte I<DES_cblock> in I<electronic code book>
(ECB) mode. It always transforms the input data, pointed to by
I<input>, into the output data, pointed to by the I<output> argument.
-If the I<encrypt> argument is non-zero (DES_ENCRYPT), the I<input>
+If the I<encrypt> argument is nonzero (DES_ENCRYPT), the I<input>
(cleartext) is encrypted in to the I<output> (ciphertext) using the
key_schedule specified by the I<schedule> argument, previously set via
I<DES_set_key>. If I<encrypt> is zero (DES_DECRYPT), the I<input> (now
@@ -156,7 +156,7 @@ The macro DES_ecb2_encrypt() is provided to perform two-key Triple-DES
encryption by using I<ks1> for the final encryption.
DES_ncbc_encrypt() encrypts/decrypts using the I<cipher-block-chaining>
-(CBC) mode of DES. If the I<encrypt> argument is non-zero, the
+(CBC) mode of DES. If the I<encrypt> argument is nonzero, the
routine cipher-block-chain encrypts the cleartext data pointed to by
the I<input> argument into the ciphertext pointed to by the I<output>
argument, using the key schedule provided by the I<schedule> argument,
@@ -313,7 +313,7 @@ on some platforms.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DH_generate_key.pod b/doc/man3/DH_generate_key.pod
index 297e7fbf..72726661 100644
--- a/doc/man3/DH_generate_key.pod
+++ b/doc/man3/DH_generate_key.pod
@@ -2,7 +2,8 @@
=head1 NAME
-DH_generate_key, DH_compute_key - perform Diffie-Hellman key exchange
+DH_generate_key, DH_compute_key, DH_compute_key_padded - perform
+Diffie-Hellman key exchange
=head1 SYNOPSIS
@@ -10,14 +11,16 @@ DH_generate_key, DH_compute_key - perform Diffie-Hellman key exchange
int DH_generate_key(DH *dh);
- int DH_compute_key(unsigned char *key, BIGNUM *pub_key, DH *dh);
+ int DH_compute_key(unsigned char *key, const BIGNUM *pub_key, DH *dh);
+
+ int DH_compute_key_padded(unsigned char *key, const BIGNUM *pub_key, DH *dh);
=head1 DESCRIPTION
DH_generate_key() performs the first step of a Diffie-Hellman key
exchange by generating private and public DH values. By calling
-DH_compute_key(), these are combined with the other party's public
-value to compute the shared key.
+DH_compute_key() or DH_compute_key_padded(), these are combined with
+the other party's public value to compute the shared key.
DH_generate_key() expects B<dh> to contain the shared parameters
B<dh-E<gt>p> and B<dh-E<gt>g>. It generates a random private DH value
@@ -28,6 +31,14 @@ published.
DH_compute_key() computes the shared secret from the private DH value
in B<dh> and the other party's public value in B<pub_key> and stores
it in B<key>. B<key> must point to B<DH_size(dh)> bytes of memory.
+The padding style is RFC 5246 (8.1.2) that strips leading zero bytes.
+It is not constant time due to the leading zero bytes being stripped.
+The return value should be considered public.
+
+DH_compute_key_padded() is similar but stores a fixed number of bytes.
+The padding style is NIST SP 800-56A (C.1) that retains leading zero bytes.
+It is constant time due to the leading zero bytes being retained.
+The return value should be considered public.
=head1 RETURN VALUES
@@ -36,15 +47,21 @@ DH_generate_key() returns 1 on success, 0 otherwise.
DH_compute_key() returns the size of the shared secret on success, -1
on error.
+DH_compute_key_padded() returns B<DH_size(dh)> on success, -1 on error.
+
The error codes can be obtained by L<ERR_get_error(3)>.
=head1 SEE ALSO
L<DH_new(3)>, L<ERR_get_error(3)>, L<RAND_bytes(3)>, L<DH_size(3)>
+=head1 HISTORY
+
+DH_compute_key_padded() was added in OpenSSL 1.0.2.
+
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DH_get0_pqg.pod b/doc/man3/DH_get0_pqg.pod
index e878fa00..6b5e843e 100644
--- a/doc/man3/DH_get0_pqg.pod
+++ b/doc/man3/DH_get0_pqg.pod
@@ -81,7 +81,7 @@ DH_get0_engine() returns a handle to the ENGINE that has been set for this DH
object, or NULL if no such ENGINE has been set.
The DH_get_length() and DH_set_length() functions get and set the optional
-length parameter associated with this DH object. If the length is non-zero then
+length parameter associated with this DH object. If the length is nonzero then
it is used, otherwise it is ignored. The B<length> parameter indicates the
length of the secret exponent (private key) in bits.
@@ -118,7 +118,7 @@ The functions described here were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DH_set_method.pod b/doc/man3/DH_set_method.pod
index ea45961f..b36011d6 100644
--- a/doc/man3/DH_set_method.pod
+++ b/doc/man3/DH_set_method.pod
@@ -45,7 +45,7 @@ DH_set_method() selects B<meth> to perform all operations using the key B<dh>.
This will replace the DH_METHOD used by the DH key and if the previous method
was supplied by an ENGINE, the handle to that ENGINE will be released during the
change. It is possible to have DH keys that only work with certain DH_METHOD
-implementations (eg. from an ENGINE module that supports embedded
+implementations (e.g. from an ENGINE module that supports embedded
hardware-protected keys), and in such cases attempting to change the DH_METHOD
for the key can have unexpected results.
@@ -64,7 +64,7 @@ B<DH_METHOD>s.
DH_set_default_method() returns no value.
-DH_set_method() returns non-zero if the provided B<meth> was successfully set as
+DH_set_method() returns nonzero if the provided B<meth> was successfully set as
the method for B<dh> (including unloading the ENGINE handle if the previous
method was supplied by an ENGINE).
@@ -78,7 +78,7 @@ L<DH_new(3)>, L<DH_new(3)>, L<DH_meth_new(3)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DSA_set_method.pod b/doc/man3/DSA_set_method.pod
index f10307e6..f6eb260c 100644
--- a/doc/man3/DSA_set_method.pod
+++ b/doc/man3/DSA_set_method.pod
@@ -46,7 +46,7 @@ DSA_set_method() selects B<meth> to perform all operations using the key
B<rsa>. This will replace the DSA_METHOD used by the DSA key and if the
previous method was supplied by an ENGINE, the handle to that ENGINE will
be released during the change. It is possible to have DSA keys that only
-work with certain DSA_METHOD implementations (eg. from an ENGINE module
+work with certain DSA_METHOD implementations (e.g. from an ENGINE module
that supports embedded hardware-protected keys), and in such cases
attempting to change the DSA_METHOD for the key can have unexpected
results. See L<DSA_meth_new> for information on constructing custom DSA_METHOD
@@ -64,7 +64,7 @@ B<DSA_METHOD>s.
DSA_set_default_method() returns no value.
-DSA_set_method() returns non-zero if the provided B<meth> was successfully set as
+DSA_set_method() returns nonzero if the provided B<meth> was successfully set as
the method for B<dsa> (including unloading the ENGINE handle if the previous
method was supplied by an ENGINE).
@@ -78,7 +78,7 @@ L<DSA_new(3)>, L<DSA_new(3)>, L<DSA_meth_new(3)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DTLSv1_listen.pod b/doc/man3/DTLSv1_listen.pod
index 76be40b6..272a8c2e 100644
--- a/doc/man3/DTLSv1_listen.pod
+++ b/doc/man3/DTLSv1_listen.pod
@@ -35,7 +35,7 @@ message then the amplification attack has succeeded.
If DTLS is used over UDP (or any datagram based protocol that does not validate
the source IP) then it is susceptible to this type of attack. TLSv1.3 is
designed to operate over a stream-based transport protocol (such as TCP).
-If TCP is being used then there is no need to use SSL_stateless(). However some
+If TCP is being used then there is no need to use SSL_stateless(). However, some
stream-based transport protocols (e.g. QUIC) may not validate the source
address. In this case a TLSv1.3 application would be susceptible to this attack.
@@ -66,9 +66,9 @@ the peer and continue the handshake in a connected state.
Prior to calling DTLSv1_listen() user code must ensure that cookie generation
and verification callbacks have been set up using
-SSL_CTX_set_cookie_generate_cb() and SSL_CTX_set_cookie_verify_cb()
-respectively. For SSL_stateless(), SSL_CTX_set_stateless_cookie_generate_cb()
-and SSL_CTX_set_stateless_cookie_verify_cb() must be used instead.
+L<SSL_CTX_set_cookie_generate_cb(3)> and L<SSL_CTX_set_cookie_verify_cb(3)>
+respectively. For SSL_stateless(), L<SSL_CTX_set_stateless_cookie_generate_cb(3)>
+and L<SSL_CTX_set_stateless_cookie_verify_cb(3)> must be used instead.
Since DTLSv1_listen() operates entirely statelessly whilst processing incoming
ClientHellos it is unable to process fragmented messages (since this would
@@ -98,7 +98,7 @@ will be set up ready to continue the handshake. the B<peer> value will also be
filled in.
A return value of 0 indicates a non-fatal error. This could (for
-example) be because of non-blocking IO, or some invalid message having been
+example) be because of nonblocking IO, or some invalid message having been
received from a peer. Errors may be placed on the OpenSSL error queue with
further information if appropriate. Typically user code is expected to retry the
call to DTLSv1_listen() in the event of a non-fatal error.
@@ -112,8 +112,10 @@ errors as non-fatal), whilst return codes >0 indicate success.
=head1 SEE ALSO
-L<SSL_get_error(3)>, L<SSL_accept(3)>,
-L<ssl(7)>, L<bio(7)>
+L<SSL_CTX_set_cookie_generate_cb(3)>, L<SSL_CTX_set_cookie_verify_cb(3)>,
+L<SSL_CTX_set_stateless_cookie_generate_cb(3)>,
+L<SSL_CTX_set_stateless_cookie_verify_cb(3)>, L<SSL_get_error(3)>,
+L<SSL_accept(3)>, L<ssl(7)>, L<bio(7)>
=head1 HISTORY
@@ -124,7 +126,7 @@ The type of "peer" also changed in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ECDSA_SIG_new.pod b/doc/man3/ECDSA_SIG_new.pod
index 6a7d1070..010c163c 100644
--- a/doc/man3/ECDSA_SIG_new.pod
+++ b/doc/man3/ECDSA_SIG_new.pod
@@ -5,7 +5,7 @@
ECDSA_SIG_get0, ECDSA_SIG_get0_r, ECDSA_SIG_get0_s, ECDSA_SIG_set0,
ECDSA_SIG_new, ECDSA_SIG_free, ECDSA_size, ECDSA_sign, ECDSA_do_sign,
ECDSA_verify, ECDSA_do_verify, ECDSA_sign_setup, ECDSA_sign_ex,
-ECDSA_do_sign_ex - low level elliptic curve digital signature algorithm (ECDSA)
+ECDSA_do_sign_ex - low-level elliptic curve digital signature algorithm (ECDSA)
functions
=head1 SYNOPSIS
@@ -40,7 +40,7 @@ functions
=head1 DESCRIPTION
-Note: these functions provide a low level interface to ECDSA. Most
+Note: these functions provide a low-level interface to ECDSA. Most
applications should use the higher level B<EVP> interface such as
L<EVP_DigestSignInit(3)> or L<EVP_DigestVerifyInit(3)> instead.
@@ -199,7 +199,7 @@ L<d2i_ECDSA_SIG(3)>
=head1 COPYRIGHT
-Copyright 2004-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EC_GROUP_copy.pod b/doc/man3/EC_GROUP_copy.pod
index 7bf35006..0d50fdc0 100644
--- a/doc/man3/EC_GROUP_copy.pod
+++ b/doc/man3/EC_GROUP_copy.pod
@@ -40,7 +40,7 @@ EC_GROUP_get_pentanomial_basis
int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
- point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
+ point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *group);
unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
size_t EC_GROUP_get_seed_len(const EC_GROUP *);
@@ -61,34 +61,39 @@ EC_GROUP_get_pentanomial_basis
=head1 DESCRIPTION
-EC_GROUP_copy copies the curve B<src> into B<dst>. Both B<src> and B<dst> must use the same EC_METHOD.
+EC_GROUP_copy() copies the curve B<src> into B<dst>. Both B<src> and B<dst> must use the same EC_METHOD.
-EC_GROUP_dup creates a new EC_GROUP object and copies the content from B<src> to the newly created
+EC_GROUP_dup() creates a new EC_GROUP object and copies the content from B<src> to the newly created
EC_GROUP object.
-EC_GROUP_method_of obtains the EC_METHOD of B<group>.
+EC_GROUP_method_of() obtains the EC_METHOD of B<group>.
-EC_GROUP_set_generator sets curve parameters that must be agreed by all participants using the curve. These
+EC_GROUP_set_generator() sets curve parameters that must be agreed by all participants using the curve. These
parameters include the B<generator>, the B<order> and the B<cofactor>. The B<generator> is a well defined point on the
curve chosen for cryptographic operations. Integers used for point multiplications will be between 0 and
n-1 where n is the B<order>. The B<order> multiplied by the B<cofactor> gives the number of points on the curve.
-EC_GROUP_get0_generator returns the generator for the identified B<group>.
+EC_GROUP_get0_generator() returns the generator for the identified B<group>.
-The functions EC_GROUP_get_order and EC_GROUP_get_cofactor populate the provided B<order> and B<cofactor> parameters
-with the respective order and cofactors for the B<group>.
+EC_GROUP_get_order() retrieves the order of B<group> and copies its value into
+B<order>. It fails in case B<group> is not fully initialized (i.e., its order
+is not set or set to zero).
-The functions EC_GROUP_set_curve_name and EC_GROUP_get_curve_name, set and get the NID for the curve respectively
+EC_GROUP_get_cofactor() retrieves the cofactor of B<group> and copies its value
+into B<cofactor>. It fails in case B<group> is not fully initialized or if the
+cofactor is not set (or set to zero).
+
+The functions EC_GROUP_set_curve_name() and EC_GROUP_get_curve_name(), set and get the NID for the curve respectively
(see L<EC_GROUP_new(3)>). If a curve does not have a NID associated with it, then EC_GROUP_get_curve_name
-will return 0.
+will return NID_undef.
The asn1_flag value is used to determine whether the curve encoding uses
explicit parameters or a named curve using an ASN1 OID: many applications only
support the latter form. If asn1_flag is B<OPENSSL_EC_NAMED_CURVE> then the
named curve form is used and the parameters must have a corresponding
named curve NID set. If asn1_flags is B<OPENSSL_EC_EXPLICIT_CURVE> the
-parameters are explicitly encoded. The functions EC_GROUP_get_asn1_flag and
-EC_GROUP_set_asn1_flag get and set the status of the asn1_flag for the curve.
+parameters are explicitly encoded. The functions EC_GROUP_get_asn1_flag() and
+EC_GROUP_set_asn1_flag() get and set the status of the asn1_flag for the curve.
Note: B<OPENSSL_EC_EXPLICIT_CURVE> was added in OpenSSL 1.1.0, for
previous versions of OpenSSL the value 0 must be used instead. Before OpenSSL
1.1.0 the default form was to use explicit parameters (meaning that
@@ -119,32 +124,32 @@ the two possible solutions for y has been used, followed by the octets for x.
For POINT_CONVERSION_HYBRID the point is encoded as an octet signifying the HYBRID form has been used AND which of the two
possible solutions for y has been used, followed by the octets for x, followed by the octets for y.
-The functions EC_GROUP_set_point_conversion_form and EC_GROUP_get_point_conversion_form set and get the point_conversion_form
+The functions EC_GROUP_set_point_conversion_form() and EC_GROUP_get_point_conversion_form(), set and get the point_conversion_form
for the curve respectively.
ANSI X9.62 (ECDSA standard) defines a method of generating the curve parameter b from a random number. This provides advantages
in that a parameter obtained in this way is highly unlikely to be susceptible to special purpose attacks, or have any trapdoors in it.
If the seed is present for a curve then the b parameter was generated in a verifiable fashion using that seed. The OpenSSL EC library
-does not use this seed value but does enable you to inspect it using EC_GROUP_get0_seed. This returns a pointer to a memory block
-containing the seed that was used. The length of the memory block can be obtained using EC_GROUP_get_seed_len. A number of the
-builtin curves within the library provide seed values that can be obtained. It is also possible to set a custom seed using
-EC_GROUP_set_seed and passing a pointer to a memory block, along with the length of the seed. Again, the EC library will not use
+does not use this seed value but does enable you to inspect it using EC_GROUP_get0_seed(). This returns a pointer to a memory block
+containing the seed that was used. The length of the memory block can be obtained using EC_GROUP_get_seed_len(). A number of the
+built-in curves within the library provide seed values that can be obtained. It is also possible to set a custom seed using
+EC_GROUP_set_seed() and passing a pointer to a memory block, along with the length of the seed. Again, the EC library will not use
this seed value, although it will be preserved in any ASN1 based communications.
-EC_GROUP_get_degree gets the degree of the field. For Fp fields this will be the number of bits in p. For F2^m fields this will be
+EC_GROUP_get_degree() gets the degree of the field. For Fp fields this will be the number of bits in p. For F2^m fields this will be
the value m.
-The function EC_GROUP_check_discriminant calculates the discriminant for the curve and verifies that it is valid.
+The function EC_GROUP_check_discriminant() calculates the discriminant for the curve and verifies that it is valid.
For a curve defined over Fp the discriminant is given by the formula 4*a^3 + 27*b^2 whilst for F2^m curves the discriminant is
simply b. In either case for the curve to be valid the discriminant must be non zero.
-The function EC_GROUP_check performs a number of checks on a curve to verify that it is valid. Checks performed include
+The function EC_GROUP_check() performs a number of checks on a curve to verify that it is valid. Checks performed include
verifying that the discriminant is non zero; that a generator has been defined; that the generator is on the curve and has
the correct order.
-EC_GROUP_cmp compares B<a> and B<b> to determine whether they represent the same curve or not.
+EC_GROUP_cmp() compares B<a> and B<b> to determine whether they represent the same curve or not.
-The functions EC_GROUP_get_basis_type, EC_GROUP_get_trinomial_basis and EC_GROUP_get_pentanomial_basis should only be called for curves
+The functions EC_GROUP_get_basis_type(), EC_GROUP_get_trinomial_basis() and EC_GROUP_get_pentanomial_basis() should only be called for curves
defined over an F2^m field. Addition and multiplication operations within an F2^m field are performed using an irreducible polynomial
function f(x). This function is either a trinomial of the form:
@@ -154,39 +159,48 @@ or a pentanomial of the form:
f(x) = x^m + x^k3 + x^k2 + x^k1 + 1 with m > k3 > k2 > k1 >= 1
-The function EC_GROUP_get_basis_type returns a NID identifying whether a trinomial or pentanomial is in use for the field. The
-function EC_GROUP_get_trinomial_basis must only be called where f(x) is of the trinomial form, and returns the value of B<k>. Similarly
-the function EC_GROUP_get_pentanomial_basis must only be called where f(x) is of the pentanomial form, and returns the values of B<k1>,
+The function EC_GROUP_get_basis_type() returns a NID identifying whether a trinomial or pentanomial is in use for the field. The
+function EC_GROUP_get_trinomial_basis() must only be called where f(x) is of the trinomial form, and returns the value of B<k>. Similarly
+the function EC_GROUP_get_pentanomial_basis() must only be called where f(x) is of the pentanomial form, and returns the values of B<k1>,
B<k2> and B<k3> respectively.
=head1 RETURN VALUES
-The following functions return 1 on success or 0 on error: EC_GROUP_copy, EC_GROUP_set_generator, EC_GROUP_check,
-EC_GROUP_check_discriminant, EC_GROUP_get_trinomial_basis and EC_GROUP_get_pentanomial_basis.
+The following functions return 1 on success or 0 on error: EC_GROUP_copy(), EC_GROUP_set_generator(), EC_GROUP_check(),
+EC_GROUP_check_discriminant(), EC_GROUP_get_trinomial_basis() and EC_GROUP_get_pentanomial_basis().
+
+EC_GROUP_dup() returns a pointer to the duplicated curve, or NULL on error.
+
+EC_GROUP_method_of() returns the EC_METHOD implementation in use for the given curve or NULL on error.
+
+EC_GROUP_get0_generator() returns the generator for the given curve or NULL on error.
+
+EC_GROUP_get_order() returns 0 if the order is not set (or set to zero) for
+B<group> or if copying into B<order> fails, 1 otherwise.
+
+EC_GROUP_get_cofactor() returns 0 if the cofactor is not set (or is set to zero) for B<group> or if copying into B<cofactor> fails, 1 otherwise.
-EC_GROUP_dup returns a pointer to the duplicated curve, or NULL on error.
+EC_GROUP_get_curve_name() returns the curve name (NID) for B<group> or will return NID_undef if no curve name is associated.
-EC_GROUP_method_of returns the EC_METHOD implementation in use for the given curve or NULL on error.
+EC_GROUP_get_asn1_flag() returns the ASN1 flag for the specified B<group> .
-EC_GROUP_get0_generator returns the generator for the given curve or NULL on error.
+EC_GROUP_get_point_conversion_form() returns the point_conversion_form for B<group>.
-EC_GROUP_get_order, EC_GROUP_get_cofactor, EC_GROUP_get_curve_name, EC_GROUP_get_asn1_flag, EC_GROUP_get_point_conversion_form
-and EC_GROUP_get_degree return the order, cofactor, curve name (NID), ASN1 flag, point_conversion_form and degree for the
-specified curve respectively. If there is no curve name associated with a curve then EC_GROUP_get_curve_name will return 0.
+EC_GROUP_get_degree() returns the degree for B<group> or 0 if the operation is not supported by the underlying group implementation.
EC_GROUP_get0_order() returns an internal pointer to the group order.
EC_GROUP_order_bits() returns the number of bits in the group order.
EC_GROUP_get0_cofactor() returns an internal pointer to the group cofactor.
-EC_GROUP_get0_seed returns a pointer to the seed that was used to generate the parameter b, or NULL if the seed is not
-specified. EC_GROUP_get_seed_len returns the length of the seed or 0 if the seed is not specified.
+EC_GROUP_get0_seed() returns a pointer to the seed that was used to generate the parameter b, or NULL if the seed is not
+specified. EC_GROUP_get_seed_len() returns the length of the seed or 0 if the seed is not specified.
-EC_GROUP_set_seed returns the length of the seed that has been set. If the supplied seed is NULL, or the supplied seed length is
+EC_GROUP_set_seed() returns the length of the seed that has been set. If the supplied seed is NULL, or the supplied seed length is
0, the return value will be 1. On error 0 is returned.
-EC_GROUP_cmp returns 0 if the curves are equal, 1 if they are not equal, or -1 on error.
+EC_GROUP_cmp() returns 0 if the curves are equal, 1 if they are not equal, or -1 on error.
-EC_GROUP_get_basis_type returns the values NID_X9_62_tpBasis or NID_X9_62_ppBasis (as defined in <openssl/obj_mac.h>) for a
+EC_GROUP_get_basis_type() returns the values NID_X9_62_tpBasis or NID_X9_62_ppBasis (as defined in <openssl/obj_mac.h>) for a
trinomial or pentanomial respectively. Alternatively in the event of an error a 0 is returned.
=head1 SEE ALSO
diff --git a/doc/man3/EC_GROUP_new.pod b/doc/man3/EC_GROUP_new.pod
index 1eee4949..b1141a07 100644
--- a/doc/man3/EC_GROUP_new.pod
+++ b/doc/man3/EC_GROUP_new.pod
@@ -57,49 +57,63 @@ objects
=head1 DESCRIPTION
-Within the library there are two forms of elliptic curve that are of interest. The first form is those defined over the
-prime field Fp. The elements of Fp are the integers 0 to p-1, where p is a prime number. This gives us a revised
+Within the library there are two forms of elliptic curve that are of interest.
+The first form is those defined over the prime field Fp. The elements of Fp are
+the integers 0 to p-1, where p is a prime number. This gives us a revised
elliptic curve equation as follows:
y^2 mod p = x^3 +ax + b mod p
-The second form is those defined over a binary field F2^m where the elements of the field are integers of length at
-most m bits. For this form the elliptic curve equation is modified to:
+The second form is those defined over a binary field F2^m where the elements of
+the field are integers of length at most m bits. For this form the elliptic
+curve equation is modified to:
y^2 + xy = x^3 + ax^2 + b (where b != 0)
-Operations in a binary field are performed relative to an B<irreducible polynomial>. All such curves with OpenSSL
-use a trinomial or a pentanomial for this parameter.
-
-A new curve can be constructed by calling EC_GROUP_new, using the implementation provided by B<meth> (see
-L<EC_GFp_simple_method(3)>). It is then necessary to call EC_GROUP_set_curve() to set the curve parameters.
-EC_GROUP_new_from_ecparameters() will create a group from the
-specified B<params> and
-EC_GROUP_new_from_ecpkparameters() will create a group from the specific PK B<params>.
-
-EC_GROUP_set_curve() sets the curve parameters B<p>, B<a> and B<b>. For a curve over Fp B<b>
-is the prime for the field. For a curve over F2^m B<p> represents the irreducible polynomial - each bit
-represents a term in the polynomial. Therefore there will either be three or five bits set dependent on whether
-the polynomial is a trinomial or a pentanomial.
+Operations in a binary field are performed relative to an B<irreducible
+polynomial>. All such curves with OpenSSL use a trinomial or a pentanomial for
+this parameter.
+
+A new curve can be constructed by calling EC_GROUP_new(), using the
+implementation provided by B<meth> (see L<EC_GFp_simple_method(3)>). It is then
+necessary to call EC_GROUP_set_curve() to set the curve parameters.
+EC_GROUP_new_from_ecparameters() will create a group from the specified
+B<params> and EC_GROUP_new_from_ecpkparameters() will create a group from the
+specific PK B<params>.
+
+EC_GROUP_set_curve() sets the curve parameters B<p>, B<a> and B<b>. For a curve
+over Fp B<p> is the prime for the field. For a curve over F2^m B<p> represents
+the irreducible polynomial - each bit represents a term in the polynomial.
+Therefore, there will either be three or five bits set dependent on whether the
+polynomial is a trinomial or a pentanomial.
+In either case, B<a> and B<b> represents the coefficients a and b from the
+relevant equation introduced above.
EC_group_get_curve() obtains the previously set curve parameters.
-EC_GROUP_set_curve_GFp() and EC_GROUP_set_curve_GF2m() are synonyms for EC_GROUP_set_curve(). They are defined for
-backwards compatibility only and should not be used.
-
-EC_GROUP_get_curve_GFp() and EC_GROUP_get_curve_GF2m() are synonyms for EC_GROUP_get_curve(). They are defined for
-backwards compatibility only and should not be used.
-
-The functions EC_GROUP_new_curve_GFp and EC_GROUP_new_curve_GF2m are shortcuts for calling EC_GROUP_new and then the
-EC_GROUP_set_curve function. An appropriate default implementation method will be used.
-
-Whilst the library can be used to create any curve using the functions described above, there are also a number of
-predefined curves that are available. In order to obtain a list of all of the predefined curves, call the function
-EC_get_builtin_curves. The parameter B<r> should be an array of EC_builtin_curve structures of size B<nitems>. The function
-will populate the B<r> array with information about the builtin curves. If B<nitems> is less than the total number of
-curves available, then the first B<nitems> curves will be returned. Otherwise the total number of curves will be
-provided. The return value is the total number of curves available (whether that number has been populated in B<r> or
-not). Passing a NULL B<r>, or setting B<nitems> to 0 will do nothing other than return the total number of curves available.
+EC_GROUP_set_curve_GFp() and EC_GROUP_set_curve_GF2m() are synonyms for
+EC_GROUP_set_curve(). They are defined for backwards compatibility only and
+should not be used.
+
+EC_GROUP_get_curve_GFp() and EC_GROUP_get_curve_GF2m() are synonyms for
+EC_GROUP_get_curve(). They are defined for backwards compatibility only and
+should not be used.
+
+The functions EC_GROUP_new_curve_GFp() and EC_GROUP_new_curve_GF2m() are
+shortcuts for calling EC_GROUP_new() and then the EC_GROUP_set_curve() function.
+An appropriate default implementation method will be used.
+
+Whilst the library can be used to create any curve using the functions described
+above, there are also a number of predefined curves that are available. In order
+to obtain a list of all of the predefined curves, call the function
+EC_get_builtin_curves(). The parameter B<r> should be an array of
+EC_builtin_curve structures of size B<nitems>. The function will populate the
+B<r> array with information about the builtin curves. If B<nitems> is less than
+the total number of curves available, then the first B<nitems> curves will be
+returned. Otherwise the total number of curves will be provided. The return
+value is the total number of curves available (whether that number has been
+populated in B<r> or not). Passing a NULL B<r>, or setting B<nitems> to 0 will
+do nothing other than return the total number of curves available.
The EC_builtin_curve structure is defined as follows:
typedef struct {
@@ -107,24 +121,28 @@ The EC_builtin_curve structure is defined as follows:
const char *comment;
} EC_builtin_curve;
-Each EC_builtin_curve item has a unique integer id (B<nid>), and a human readable comment string describing the curve.
+Each EC_builtin_curve item has a unique integer id (B<nid>), and a human
+readable comment string describing the curve.
-In order to construct a builtin curve use the function EC_GROUP_new_by_curve_name and provide the B<nid> of the curve to
+In order to construct a builtin curve use the function
+EC_GROUP_new_by_curve_name() and provide the B<nid> of the curve to
be constructed.
-EC_GROUP_free frees the memory associated with the EC_GROUP.
+EC_GROUP_free() frees the memory associated with the EC_GROUP.
If B<group> is NULL nothing is done.
-EC_GROUP_clear_free destroys any sensitive data held within the EC_GROUP and then frees its memory.
-If B<group> is NULL nothing is done.
+EC_GROUP_clear_free() destroys any sensitive data held within the EC_GROUP and
+then frees its memory. If B<group> is NULL nothing is done.
=head1 RETURN VALUES
-All EC_GROUP_new* functions return a pointer to the newly constructed group, or NULL on error.
+All EC_GROUP_new* functions return a pointer to the newly constructed group, or
+NULL on error.
-EC_get_builtin_curves returns the number of builtin curves that are available.
+EC_get_builtin_curves() returns the number of builtin curves that are available.
-EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, EC_GROUP_set_curve_GF2m, EC_GROUP_get_curve_GF2m return 1 on success or 0 on error.
+EC_GROUP_set_curve_GFp(), EC_GROUP_get_curve_GFp(), EC_GROUP_set_curve_GF2m(),
+EC_GROUP_get_curve_GF2m() return 1 on success or 0 on error.
=head1 SEE ALSO
@@ -134,7 +152,7 @@ L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>
=head1 COPYRIGHT
-Copyright 2013-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EC_KEY_new.pod b/doc/man3/EC_KEY_new.pod
index 9d32d78a..6507dc95 100644
--- a/doc/man3/EC_KEY_new.pod
+++ b/doc/man3/EC_KEY_new.pod
@@ -9,7 +9,8 @@ EC_KEY_get0_engine,
EC_KEY_get0_group, EC_KEY_set_group, EC_KEY_get0_private_key,
EC_KEY_set_private_key, EC_KEY_get0_public_key, EC_KEY_set_public_key,
EC_KEY_get_conv_form,
-EC_KEY_set_conv_form, EC_KEY_set_asn1_flag, EC_KEY_precompute_mult,
+EC_KEY_set_conv_form, EC_KEY_set_asn1_flag,
+EC_KEY_decoded_from_explicit_params, EC_KEY_precompute_mult,
EC_KEY_generate_key, EC_KEY_check_key, EC_KEY_set_public_key_affine_coordinates,
EC_KEY_oct2key, EC_KEY_key2buf, EC_KEY_oct2priv, EC_KEY_priv2oct,
EC_KEY_priv2buf - Functions for creating, destroying and manipulating
@@ -38,6 +39,7 @@ EC_KEY objects
point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
+ int EC_KEY_decoded_from_explicit_params(const EC_KEY *key);
int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
int EC_KEY_generate_key(EC_KEY *key);
int EC_KEY_check_key(const EC_KEY *key);
@@ -118,11 +120,15 @@ EC_KEY_set_asn1_flag() sets the asn1_flag on the underlying EC_GROUP object
(if set). Refer to L<EC_GROUP_copy(3)> for further information on the
asn1_flag.
+EC_KEY_decoded_from_explicit_params() returns 1 if the group of the I<key> was
+decoded from data with explicitly encoded group parameters, -1 if the I<key>
+is NULL or the group parameters are missing, and 0 otherwise.
+
EC_KEY_precompute_mult() stores multiples of the underlying EC_GROUP generator
for faster point multiplication. See also L<EC_POINT_add(3)>.
EC_KEY_oct2key() and EC_KEY_key2buf() are identical to the functions
-EC_POINT_oct2point() and EC_KEY_point2buf() except they use the public key
+EC_POINT_oct2point() and EC_POINT_point2buf() except they use the public key
EC_POINT in B<eckey>.
EC_KEY_oct2priv() and EC_KEY_priv2oct() convert between the private key
@@ -178,7 +184,7 @@ L<d2i_ECPKParameters(3)>
=head1 COPYRIGHT
-Copyright 2013-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EC_POINT_new.pod b/doc/man3/EC_POINT_new.pod
index 796f6666..5d2c3f2e 100644
--- a/doc/man3/EC_POINT_new.pod
+++ b/doc/man3/EC_POINT_new.pod
@@ -148,7 +148,7 @@ EC_POINT_get_Jprojective_coordinates_GFp() respectively.
Points can also be described in terms of their compressed co-ordinates. For a
point (x, y), for any given value for x such that the point is on the curve
-there will only ever be two possible values for y. Therefore a point can be set
+there will only ever be two possible values for y. Therefore, a point can be set
using the EC_POINT_set_compressed_coordinates() function where B<x> is the x
co-ordinate and B<y_bit> is a value 0 or 1 to identify which of the two
possible values for y should be used.
@@ -171,6 +171,26 @@ The functions EC_POINT_point2oct(), EC_POINT_oct2point(), EC_POINT_point2bn(),
EC_POINT_bn2point(), EC_POINT_point2hex() and EC_POINT_hex2point() convert from
and to EC_POINTs for the formats: octet, BIGNUM and hexadecimal respectively.
+The function EC_POINT_point2oct() encodes the given curve point B<p> as an
+octet string into the buffer B<buf> of size B<len>, using the specified
+conversion form B<form>.
+The encoding conforms with Sec. 2.3.3 of the SECG SEC 1 ("Elliptic Curve
+Cryptography") standard.
+Similarly the function EC_POINT_oct2point() decodes a curve point into B<p> from
+the octet string contained in the given buffer B<buf> of size B<len>, conforming
+to Sec. 2.3.4 of the SECG SEC 1 ("Elliptic Curve Cryptography") standard.
+
+The functions EC_POINT_point2hex() and EC_POINT_point2bn() convert a point B<p>,
+respectively, to the hexadecimal or BIGNUM representation of the same
+encoding of the function EC_POINT_point2oct().
+Vice versa, similarly to the function EC_POINT_oct2point(), the functions
+EC_POINT_hex2point() and EC_POINT_point2bn() decode the hexadecimal or
+BIGNUM representation into the EC_POINT B<p>.
+
+Notice that, according to the standard, the octet string encoding of the point
+at infinity for a given curve is fixed to a single octet of value zero and that,
+vice versa, a single octet of size zero is decoded as the point at infinity.
+
The function EC_POINT_point2oct() must be supplied with a buffer long enough to
store the octet form. The return value provides the number of octets stored.
Calling the function with a NULL buffer will not perform the conversion but
@@ -223,7 +243,7 @@ L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>
=head1 COPYRIGHT
-Copyright 2013-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ENGINE_add.pod b/doc/man3/ENGINE_add.pod
index a2fc2994..369900c2 100644
--- a/doc/man3/ENGINE_add.pod
+++ b/doc/man3/ENGINE_add.pod
@@ -181,7 +181,7 @@ implementation includes the following abstractions;
=head2 Reference counting and handles
Due to the modular nature of the ENGINE API, pointers to ENGINEs need to be
-treated as handles - ie. not only as pointers, but also as references to
+treated as handles - i.e. not only as pointers, but also as references to
the underlying ENGINE object. Ie. one should obtain a new reference when
making copies of an ENGINE pointer if the copies will be used (and
released) independently.
@@ -252,15 +252,15 @@ operational ENGINE for a given cryptographic purpose.
To obtain a functional reference from an existing structural reference,
call the ENGINE_init() function. This returns zero if the ENGINE was not
-already operational and couldn't be successfully initialised (eg. lack of
+already operational and couldn't be successfully initialised (e.g. lack of
system drivers, no special hardware attached, etc), otherwise it will
-return non-zero to indicate that the ENGINE is now operational and will
+return nonzero to indicate that the ENGINE is now operational and will
have allocated a new B<functional> reference to the ENGINE. All functional
references are released by calling ENGINE_finish() (which removes the
implicit structural reference as well).
The second way to get a functional reference is by asking OpenSSL for a
-default implementation for a given task, eg. by ENGINE_get_default_RSA(),
+default implementation for a given task, e.g. by ENGINE_get_default_RSA(),
ENGINE_get_default_cipher_engine(), etc. These are discussed in the next
section, though they are not usually required by application programmers as
they are used automatically when creating and using the relevant
@@ -278,7 +278,7 @@ In the case of other abstractions like RSA, DSA, etc, there is only one
"algorithm" so all implementations implicitly register using the same 'nid'
index.
-When a default ENGINE is requested for a given abstraction/algorithm/mode, (eg.
+When a default ENGINE is requested for a given abstraction/algorithm/mode, (e.g.
when calling RSA_new_method(NULL)), a "get_default" call will be made to the
ENGINE subsystem to process the corresponding state table and return a
functional reference to an initialised ENGINE whose implementation should be
@@ -328,7 +328,7 @@ is something for the application to control. Some applications
will want to allow the user to specify exactly which ENGINE they want used
if any is to be used at all. Others may prefer to load all support and have
OpenSSL automatically use at run-time any ENGINE that is able to
-successfully initialise - ie. to assume that this corresponds to
+successfully initialise - i.e. to assume that this corresponds to
acceleration hardware attached to the machine or some such thing. There are
probably numerous other ways in which applications may prefer to handle
things, so we will simply illustrate the consequences as they apply to a
@@ -417,7 +417,7 @@ so that it can be initialised for use. This could include the path to any
driver or config files it needs to load, required network addresses,
smart-card identifiers, passwords to initialise protected devices,
logging information, etc etc. This class of commands typically needs to be
-passed to an ENGINE B<before> attempting to initialise it, ie. before
+passed to an ENGINE B<before> attempting to initialise it, i.e. before
calling ENGINE_init(). The other class of commands consist of settings or
operations that tweak certain behaviour or cause certain operations to take
place, and these commands may work either before or after ENGINE_init(), or
@@ -477,7 +477,7 @@ boolean success or failure.
}
Note that ENGINE_ctrl_cmd_string() accepts a boolean argument that can
-relax the semantics of the function - if set non-zero it will only return
+relax the semantics of the function - if set nonzero it will only return
failure if the ENGINE supported the given command name but failed while
executing it, if the ENGINE doesn't support the command name it will simply
return success without doing anything. In this case we assume the user is
@@ -490,7 +490,7 @@ It is possible to discover at run-time the names, numerical-ids, descriptions
and input parameters of the control commands supported by an ENGINE using a
structural reference. Note that some control commands are defined by OpenSSL
itself and it will intercept and handle these control commands on behalf of the
-ENGINE, ie. the ENGINE's ctrl() handler is not used for the control command.
+ENGINE, i.e. the ENGINE's ctrl() handler is not used for the control command.
openssl/engine.h defines an index, ENGINE_CMD_BASE, that all control commands
implemented by ENGINEs should be numbered from. Any command value lower than
this symbol is considered a "generic" command is handled directly by the
@@ -556,7 +556,7 @@ by applications, administrations, users, etc. These can support arbitrary
operations via ENGINE_ctrl(), including passing to and/or from the control
commands data of any arbitrary type. These commands are supported in the
discovery mechanisms simply to allow applications to determine if an ENGINE
-supports certain specific commands it might want to use (eg. application "foo"
+supports certain specific commands it might want to use (e.g. application "foo"
might query various ENGINEs to see if they implement "FOO_GET_VENDOR_LOGO_GIF" -
and ENGINE could therefore decide whether or not to support this "foo"-specific
extension).
@@ -657,7 +657,7 @@ and should not be used.
=head1 COPYRIGHT
-Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ERR_get_error.pod b/doc/man3/ERR_get_error.pod
index a76df038..fc155ad0 100644
--- a/doc/man3/ERR_get_error.pod
+++ b/doc/man3/ERR_get_error.pod
@@ -45,7 +45,7 @@ messages.
ERR_get_error_line(), ERR_peek_error_line() and
ERR_peek_last_error_line() are the same as the above, but they
-additionally store the file name and line number where
+additionally store the filename and line number where
the error occurred in *B<file> and *B<line>, unless these are B<NULL>.
ERR_get_error_line_data(), ERR_peek_error_line_data() and
@@ -69,7 +69,7 @@ L<ERR_GET_LIB(3)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ERR_print_errors.pod b/doc/man3/ERR_print_errors.pod
index f7e612f6..78a4b6a8 100644
--- a/doc/man3/ERR_print_errors.pod
+++ b/doc/man3/ERR_print_errors.pod
@@ -29,7 +29,7 @@ B<u> as the callback parameters.
The error strings will have the following format:
- [pid]:error:[error code]:[library name]:[function name]:[reason string]:[file name]:[line]:[optional text message]
+ [pid]:error:[error code]:[library name]:[function name]:[reason string]:[filename]:[line]:[optional text message]
I<error code> is an 8 digit hexadecimal number. I<library name>,
I<function name> and I<reason string> are ASCII text, as is I<optional
@@ -49,7 +49,7 @@ L<ERR_get_error(3)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ERR_put_error.pod b/doc/man3/ERR_put_error.pod
index 4fba618d..ee6a61ff 100644
--- a/doc/man3/ERR_put_error.pod
+++ b/doc/man3/ERR_put_error.pod
@@ -39,14 +39,14 @@ descriptions. For example, the function ssl3_read_bytes() reports a
SSLerr(SSL_F_SSL3_READ_BYTES, SSL_R_SSL_HANDSHAKE_FAILURE);
-Function and reason codes should consist of upper case characters,
+Function and reason codes should consist of uppercase characters,
numbers and underscores only. The error file generation script translates
function codes into function names by looking in the header files
for an appropriate function name, if none is found it just uses
the capitalized form such as "SSL3_READ_BYTES" in the above example.
The trailing section of a reason code (after the "_R_") is translated
-into lower case and underscores changed to spaces.
+into lowercase and underscores changed to spaces.
Although a library will normally report errors using its own specific
XXXerr macro, another library's macro can be used. This is normally
@@ -65,7 +65,7 @@ L<ERR_load_strings(3)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_DigestInit.pod b/doc/man3/EVP_DigestInit.pod
index 3e3e3422..a0ed943a 100644
--- a/doc/man3/EVP_DigestInit.pod
+++ b/doc/man3/EVP_DigestInit.pod
@@ -2,17 +2,17 @@
=head1 NAME
-EVP_MD_CTX_new, EVP_MD_CTX_reset, EVP_MD_CTX_free, EVP_MD_CTX_copy_ex,
-EVP_MD_CTX_ctrl, EVP_MD_CTX_set_flags, EVP_MD_CTX_clear_flags,
-EVP_MD_CTX_test_flags, EVP_DigestInit_ex, EVP_DigestInit, EVP_DigestUpdate,
+EVP_MD_CTX_new, EVP_MD_CTX_reset, EVP_MD_CTX_free, EVP_MD_CTX_copy,
+EVP_MD_CTX_copy_ex, EVP_MD_CTX_ctrl, EVP_MD_CTX_set_flags,
+EVP_MD_CTX_clear_flags, EVP_MD_CTX_test_flags,
+EVP_Digest, EVP_DigestInit_ex, EVP_DigestInit, EVP_DigestUpdate,
EVP_DigestFinal_ex, EVP_DigestFinalXOF, EVP_DigestFinal,
-EVP_MD_CTX_copy, EVP_MD_type, EVP_MD_pkey_type, EVP_MD_size,
-EVP_MD_block_size, EVP_MD_CTX_md, EVP_MD_CTX_size,
-EVP_MD_CTX_block_size, EVP_MD_CTX_type, EVP_MD_CTX_md_data,
+EVP_MD_type, EVP_MD_pkey_type, EVP_MD_size, EVP_MD_block_size, EVP_MD_flags,
+EVP_MD_CTX_md, EVP_MD_CTX_type, EVP_MD_CTX_size, EVP_MD_CTX_block_size,
+EVP_MD_CTX_md_data, EVP_MD_CTX_update_fn, EVP_MD_CTX_set_update_fn,
EVP_md_null,
-EVP_get_digestbyname, EVP_get_digestbynid,
-EVP_get_digestbyobj,
-EVP_MD_CTX_set_pkey_ctx - EVP digest routines
+EVP_get_digestbyname, EVP_get_digestbynid, EVP_get_digestbyobj,
+EVP_MD_CTX_pkey_ctx, EVP_MD_CTX_set_pkey_ctx - EVP digest routines
=head1 SYNOPSIS
@@ -26,6 +26,8 @@ EVP_MD_CTX_set_pkey_ctx - EVP digest routines
void EVP_MD_CTX_clear_flags(EVP_MD_CTX *ctx, int flags);
int EVP_MD_CTX_test_flags(const EVP_MD_CTX *ctx, int flags);
+ int EVP_Digest(const void *data, size_t count, unsigned char *md,
+ unsigned int *size, const EVP_MD *type, ENGINE *impl);
int EVP_DigestInit_ex(EVP_MD_CTX *ctx, const EVP_MD *type, ENGINE *impl);
int EVP_DigestUpdate(EVP_MD_CTX *ctx, const void *d, size_t cnt);
int EVP_DigestFinal_ex(EVP_MD_CTX *ctx, unsigned char *md, unsigned int *s);
@@ -42,12 +44,18 @@ EVP_MD_CTX_set_pkey_ctx - EVP digest routines
int EVP_MD_pkey_type(const EVP_MD *md);
int EVP_MD_size(const EVP_MD *md);
int EVP_MD_block_size(const EVP_MD *md);
+ unsigned long EVP_MD_flags(const EVP_MD *md);
const EVP_MD *EVP_MD_CTX_md(const EVP_MD_CTX *ctx);
- int EVP_MD_CTX_size(const EVP_MD *ctx);
- int EVP_MD_CTX_block_size(const EVP_MD *ctx);
- int EVP_MD_CTX_type(const EVP_MD *ctx);
+ int EVP_MD_CTX_size(const EVP_MD_CTX *ctx);
+ int EVP_MD_CTX_block_size(const EVP_MD_CTX *ctx);
+ int EVP_MD_CTX_type(const EVP_MD_CTX *ctx);
void *EVP_MD_CTX_md_data(const EVP_MD_CTX *ctx);
+ int (*EVP_MD_CTX_update_fn(EVP_MD_CTX *ctx))(EVP_MD_CTX *ctx,
+ const void *data, size_t count);
+ void EVP_MD_CTX_set_update_fn(EVP_MD_CTX *ctx,
+ int (*update)(EVP_MD_CTX *ctx,
+ const void *data, size_t count));
const EVP_MD *EVP_md_null(void);
@@ -55,11 +63,12 @@ EVP_MD_CTX_set_pkey_ctx - EVP digest routines
const EVP_MD *EVP_get_digestbynid(int type);
const EVP_MD *EVP_get_digestbyobj(const ASN1_OBJECT *o);
+ EVP_PKEY_CTX *EVP_MD_CTX_pkey_ctx(const EVP_MD_CTX *ctx);
void EVP_MD_CTX_set_pkey_ctx(EVP_MD_CTX *ctx, EVP_PKEY_CTX *pctx);
=head1 DESCRIPTION
-The EVP digest routines are a high level interface to message digests,
+The EVP digest routines are a high-level interface to message digests,
and should be used instead of the cipher-specific functions.
=over 4
@@ -79,12 +88,24 @@ Cleans up digest context B<ctx> and frees up the space allocated to it.
=item EVP_MD_CTX_ctrl()
-Performs digest-specific control actions on context B<ctx>.
+Performs digest-specific control actions on context B<ctx>. The control command
+is indicated in B<cmd> and any additional arguments in B<p1> and B<p2>.
+EVP_MD_CTX_ctrl() must be called after EVP_DigestInit_ex(). Other restrictions
+may apply depending on the control type and digest implementation.
+See L</CONTROLS> below for more information.
=item EVP_MD_CTX_set_flags(), EVP_MD_CTX_clear_flags(), EVP_MD_CTX_test_flags()
Sets, clears and tests B<ctx> flags. See L</FLAGS> below for more information.
+=item EVP_Digest()
+
+A wrapper around the Digest Init_ex, Update and Final_ex functions.
+Hashes B<count> bytes of data at B<data> using a digest B<type> from ENGINE
+B<impl>. The digest value is placed in B<md> and its length is written at B<size>
+if the pointer is not NULL. At most B<EVP_MAX_MD_SIZE> bytes will be written.
+If B<impl> is NULL the default implementation of digest B<type> is used.
+
=item EVP_DigestInit_ex()
Sets up digest context B<ctx> to use a digest B<type> from ENGINE B<impl>.
@@ -122,7 +143,7 @@ few bytes.
=item EVP_DigestInit()
Behaves in the same way as EVP_DigestInit_ex() except it always uses the
-default digest implementation.
+default digest implementation and calls EVP_MD_CTX_reset().
=item EVP_DigestFinal()
@@ -163,6 +184,21 @@ EVP_MD_meth_set_app_datasize().
Returns the B<EVP_MD> structure corresponding to the passed B<EVP_MD_CTX>.
+=item EVP_MD_CTX_set_update_fn()
+
+Sets the update function for B<ctx> to B<update>.
+This is the function that is called by EVP_DigestUpdate. If not set, the
+update function from the B<EVP_MD> type specified at initialization is used.
+
+=item EVP_MD_CTX_update_fn()
+
+Returns the update function for B<ctx>.
+
+=item EVP_MD_flags()
+
+Returns the B<md> flags. Note that these are different from the B<EVP_MD_CTX>
+ones. See L<EVP_MD_meth_set_flags(3)> for more information.
+
=item EVP_MD_pkey_type()
Returns the NID of the public key signing algorithm associated with this
@@ -182,10 +218,15 @@ EVP_get_digestbyobj()
Returns an B<EVP_MD> structure when passed a digest name, a digest B<NID> or an
B<ASN1_OBJECT> structure respectively.
+=item EVP_MD_CTX_pkey_ctx()
+
+Returns the B<EVP_PKEY_CTX> assigned to B<ctx>. The returned pointer should not
+be freed by the caller.
+
=item EVP_MD_CTX_set_pkey_ctx()
Assigns an B<EVP_PKEY_CTX> to B<EVP_MD_CTX>. This is usually used to provide
-a customzied B<EVP_PKEY_CTX> to L<EVP_DigestSignInit(3)> or
+a customized B<EVP_PKEY_CTX> to L<EVP_DigestSignInit(3)> or
L<EVP_DigestVerifyInit(3)>. The B<pctx> passed to this function should be freed
by the caller. A NULL B<pctx> pointer is also allowed to clear the B<EVP_PKEY_CTX>
assigned to B<ctx>. In such case, freeing the cleared B<EVP_PKEY_CTX> or not
@@ -193,6 +234,27 @@ depends on how the B<EVP_PKEY_CTX> is created.
=back
+=head1 CONTROLS
+
+EVP_MD_CTX_ctrl() can be used to send the following standard controls:
+
+=over 4
+
+=item EVP_MD_CTRL_MICALG
+
+Gets the digest Message Integrity Check algorithm string. This is used when
+creating S/MIME multipart/signed messages, as specified in RFC 3851.
+The string value is written to B<p2>.
+
+=item EVP_MD_CTRL_XOF_LEN
+
+This control sets the digest length for extendable output functions to B<p1>.
+Sending this control directly should not be necessary, the use of
+C<EVP_DigestFinalXOF()> is preferred.
+Currently used by SHAKE.
+
+=back
+
=head1 FLAGS
EVP_MD_CTX_set_flags(), EVP_MD_CTX_clear_flags() and EVP_MD_CTX_test_flags()
@@ -245,8 +307,7 @@ Returns 1 if successful or 0 for failure.
Returns 1 if successful or 0 for failure.
=item EVP_MD_type(),
-EVP_MD_pkey_type(),
-EVP_MD_type()
+EVP_MD_pkey_type()
Returns the NID of the corresponding OBJECT IDENTIFIER or NID_undef if none
exists.
@@ -277,7 +338,7 @@ This function has no return value.
=head1 NOTES
The B<EVP> interface to message digests should almost always be used in
-preference to the low level interfaces. This is because the code then becomes
+preference to the low-level interfaces. This is because the code then becomes
transparent to the digest used and much more flexible.
New applications should use the SHA-2 (such as L<EVP_sha256(3)>) or the SHA-3
@@ -350,6 +411,7 @@ digest name passed on the command line.
=head1 SEE ALSO
+L<EVP_MD_meth_new(3)>,
L<dgst(1)>,
L<evp(7)>
@@ -381,7 +443,7 @@ The EVP_MD_CTX_set_pkey_ctx() function was added in 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_DigestSignInit.pod b/doc/man3/EVP_DigestSignInit.pod
index 0bbc3d0f..4efc8a49 100644
--- a/doc/man3/EVP_DigestSignInit.pod
+++ b/doc/man3/EVP_DigestSignInit.pod
@@ -20,7 +20,7 @@ EVP_DigestSign - EVP signing functions
=head1 DESCRIPTION
-The EVP signature routines are a high level interface to digital signatures.
+The EVP signature routines are a high-level interface to digital signatures.
EVP_DigestSignInit() sets up signing context B<ctx> to use digest B<type> from
ENGINE B<e> and private key B<pkey>. B<ctx> must be created with
@@ -36,7 +36,7 @@ EVP_MD_CTX is freed).
The digest B<type> may be NULL if the signing algorithm supports it.
No B<EVP_PKEY_CTX> will be created by EVP_DigestSignInit() if the passed B<ctx>
-has already been assigned one via L<EVP_MD_CTX_set_ctx(3)>. See also L<SM2(7)>.
+has already been assigned one via L<EVP_MD_CTX_set_pkey_ctx(3)>. See also L<SM2(7)>.
Only EVP_PKEY types that support signing can be used with these functions. This
includes MAC algorithms where the MAC generation is considered as a form of
@@ -102,17 +102,15 @@ EVP_DigestSignFinal().
=head1 RETURN VALUES
-EVP_DigestSignInit(), EVP_DigestSignUpdate(), EVP_DigestSignaFinal() and
-EVP_DigestSign() return 1 for success and 0 or a negative value for failure. In
-particular, a return value of -2 indicates the operation is not supported by the
-public key algorithm.
+EVP_DigestSignInit(), EVP_DigestSignUpdate(), EVP_DigestSignFinal() and
+EVP_DigestSign() return 1 for success and 0 for failure.
The error codes can be obtained from L<ERR_get_error(3)>.
=head1 NOTES
The B<EVP> interface to digital signatures should almost always be used in
-preference to the low level interfaces. This is because the code then becomes
+preference to the low-level interfaces. This is because the code then becomes
transparent to the algorithm used and much more flexible.
EVP_DigestSign() is a one shot operation which signs a single block of data
@@ -158,7 +156,7 @@ were added in OpenSSL 1.0.0.
=head1 COPYRIGHT
-Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_DigestVerifyInit.pod b/doc/man3/EVP_DigestVerifyInit.pod
index 05b99bb9..e7d8c831 100644
--- a/doc/man3/EVP_DigestVerifyInit.pod
+++ b/doc/man3/EVP_DigestVerifyInit.pod
@@ -19,7 +19,7 @@ EVP_DigestVerify - EVP signature verification functions
=head1 DESCRIPTION
-The EVP signature routines are a high level interface to digital signatures.
+The EVP signature routines are a high-level interface to digital signatures.
EVP_DigestVerifyInit() sets up verification context B<ctx> to use digest
B<type> from ENGINE B<e> and public key B<pkey>. B<ctx> must be created
@@ -33,7 +33,7 @@ inside EVP_DigestVerifyInit() and it will be freed automatically when the
EVP_MD_CTX is freed).
No B<EVP_PKEY_CTX> will be created by EVP_DigestSignInit() if the passed B<ctx>
-has already been assigned one via L<EVP_MD_CTX_set_ctx(3)>. See also L<SM2(7)>.
+has already been assigned one via L<EVP_MD_CTX_set_pkey_ctx(3)>. See also L<SM2(7)>.
EVP_DigestVerifyUpdate() hashes B<cnt> bytes of data at B<d> into the
verification context B<ctx>. This function can be called several times on the
@@ -62,7 +62,7 @@ The error codes can be obtained from L<ERR_get_error(3)>.
=head1 NOTES
The B<EVP> interface to digital signatures should almost always be used in
-preference to the low level interfaces. This is because the code then becomes
+preference to the low-level interfaces. This is because the code then becomes
transparent to the algorithm used and much more flexible.
EVP_DigestVerify() is a one shot operation which verifies a single block of
@@ -104,7 +104,7 @@ were added in OpenSSL 1.0.0.
=head1 COPYRIGHT
-Copyright 2006-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_EncodeInit.pod b/doc/man3/EVP_EncodeInit.pod
index 8055b100..e8b65d38 100644
--- a/doc/man3/EVP_EncodeInit.pod
+++ b/doc/man3/EVP_EncodeInit.pod
@@ -29,7 +29,7 @@ EVP_DecodeBlock - EVP base 64 encode/decode routines
=head1 DESCRIPTION
-The EVP encode routines provide a high level interface to base 64 encoding and
+The EVP encode routines provide a high-level interface to base 64 encoding and
decoding. Base 64 encoding converts binary data into a printable form that uses
the characters A-Z, a-z, 0-9, "+" and "/" to represent the data. For every 3
bytes of binary data provided 4 bytes of base 64 encoded data will be produced
@@ -83,8 +83,8 @@ EVP_ENCODE_CTX_num() will return the number of as yet unprocessed bytes still to
be encoded or decoded that are pending in the B<ctx> object.
EVP_EncodeBlock() encodes a full block of input data in B<f> and of length
-B<dlen> and stores it in B<t>. For every 3 bytes of input provided 4 bytes of
-output data will be produced. If B<dlen> is not divisible by 3 then the block is
+B<n> and stores it in B<t>. For every 3 bytes of input provided 4 bytes of
+output data will be produced. If B<n> is not divisible by 3 then the block is
encoded as a final block of data and the output is padded such that it is always
divisible by 4. Additionally a NUL terminator character will be added. For
example if 16 bytes of input data is provided then 24 bytes of encoded data is
@@ -151,7 +151,7 @@ L<evp(7)>
=head1 COPYRIGHT
-Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_EncryptInit.pod b/doc/man3/EVP_EncryptInit.pod
index 6b068617..0d8a780b 100644
--- a/doc/man3/EVP_EncryptInit.pod
+++ b/doc/man3/EVP_EncryptInit.pod
@@ -120,7 +120,7 @@ EVP_enc_null
=head1 DESCRIPTION
-The EVP cipher routines are a high level interface to certain
+The EVP cipher routines are a high-level interface to certain
symmetric ciphers.
EVP_CIPHER_CTX_new() creates a cipher context.
@@ -146,10 +146,15 @@ appropriate.
EVP_EncryptUpdate() encrypts B<inl> bytes from the buffer B<in> and
writes the encrypted version to B<out>. This function can be called
multiple times to encrypt successive blocks of data. The amount
-of data written depends on the block alignment of the encrypted data:
-as a result the amount of data written may be anything from zero bytes
-to (inl + cipher_block_size - 1) so B<out> should contain sufficient
-room. The actual number of bytes written is placed in B<outl>. It also
+of data written depends on the block alignment of the encrypted data.
+For most ciphers and modes, the amount of data written can be anything
+from zero bytes to (inl + cipher_block_size - 1) bytes.
+For wrap cipher modes, the amount of data written can be anything
+from zero bytes to (inl + cipher_block_size) bytes.
+For stream ciphers, the amount of data written can be anything from zero
+bytes to inl bytes.
+Thus, B<out> should contain sufficient room for the operation being performed.
+The actual number of bytes written is placed in B<outl>. It also
checks if B<in> and B<out> are partially overlapping, and if they are
0 is returned to indicate failure.
@@ -422,8 +427,8 @@ Sets the CCM B<L> value. If not set a default is used (8 for AES).
=item EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_AEAD_SET_IVLEN, ivlen, NULL)
-Sets the CCM nonce (IV) length. This call can only be made before specifying an
-nonce value. The nonce length is given by B<15 - L> so it is 7 by default for
+Sets the CCM nonce (IV) length. This call can only be made before specifying
+a nonce value. The nonce length is given by B<15 - L> so it is 7 by default for
AES.
=back
@@ -463,10 +468,10 @@ This call is only valid when decrypting data.
=head1 NOTES
Where possible the B<EVP> interface to symmetric ciphers should be used in
-preference to the low level interfaces. This is because the code then becomes
+preference to the low-level interfaces. This is because the code then becomes
transparent to the cipher used and much more flexible. Additionally, the
B<EVP> interface will ensure the use of platform specific cryptographic
-acceleration such as AES-NI (the low level interfaces do not provide the
+acceleration such as AES-NI (the low-level interfaces do not provide the
guarantee).
PKCS padding works by adding B<n> padding bytes of value B<n> to make the total
@@ -492,6 +497,15 @@ EVP_EncryptFinal_ex(), EVP_DecryptInit_ex(), EVP_DecryptFinal_ex(),
EVP_CipherInit_ex() and EVP_CipherFinal_ex() because they can reuse an
existing context without allocating and freeing it up on each call.
+There are some differences between functions EVP_CipherInit() and
+EVP_CipherInit_ex(), significant in some circumstances. EVP_CipherInit() fills
+the passed context object with zeros. As a consequence, EVP_CipherInit() does
+not allow step-by-step initialization of the ctx when the I<key> and I<iv> are
+passed in separate calls. It also means that the flags set for the CTX are
+removed, and it is especially important for the
+B<EVP_CIPHER_CTX_FLAG_WRAP_ALLOW> flag treated specially in
+EVP_CipherInit_ex().
+
EVP_get_cipherbynid(), and EVP_get_cipherbyobj() are implemented as macros.
=head1 BUGS
@@ -582,7 +596,7 @@ with a 128-bit key:
/* Don't set key or IV right away; we want to check lengths */
ctx = EVP_CIPHER_CTX_new();
- EVP_CipherInit_ex(&ctx, EVP_aes_128_cbc(), NULL, NULL, NULL,
+ EVP_CipherInit_ex(ctx, EVP_aes_128_cbc(), NULL, NULL, NULL,
do_encrypt);
OPENSSL_assert(EVP_CIPHER_CTX_key_length(ctx) == 16);
OPENSSL_assert(EVP_CIPHER_CTX_iv_length(ctx) == 16);
@@ -645,7 +659,7 @@ EVP_CIPHER_CTX_reset().
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_MD_meth_new.pod b/doc/man3/EVP_MD_meth_new.pod
index 0265c7d5..e17a4cd5 100644
--- a/doc/man3/EVP_MD_meth_new.pod
+++ b/doc/man3/EVP_MD_meth_new.pod
@@ -84,7 +84,12 @@ together. The available flags are:
=item EVP_MD_FLAG_ONESHOT
-This digest method can only handles one block of input.
+This digest method can only handle one block of input.
+
+=item EVP_MD_FLAG_XOF
+
+This digest method is an extensible-output function (XOF) and supports
+the B<EVP_MD_CTRL_XOF_LEN> control.
=item EVP_MD_FLAG_DIGALGID_NULL
@@ -105,19 +110,24 @@ B<EVP_MD_FLAG_DIGALGID_ABSENT> as default. I<Note: if combined with
EVP_MD_FLAG_DIGALGID_NULL, the latter will be overridden.>
Currently unused.
+=item EVP_MD_FLAG_FIPS
+
+This digest method is suitable for use in FIPS mode.
+Currently unused.
+
=back
EVP_MD_meth_set_init() sets the digest init function for B<md>.
-The digest init function is called by EVP_DigestInit(),
+The digest init function is called by EVP_Digest(), EVP_DigestInit(),
EVP_DigestInit_ex(), EVP_SignInit, EVP_SignInit_ex(), EVP_VerifyInit()
and EVP_VerifyInit_ex().
EVP_MD_meth_set_update() sets the digest update function for B<md>.
-The digest update function is called by EVP_DigestUpdate(),
+The digest update function is called by EVP_Digest(), EVP_DigestUpdate() and
EVP_SignUpdate().
EVP_MD_meth_set_final() sets the digest final function for B<md>.
-The digest final function is called by EVP_DigestFinal(),
+The digest final function is called by EVP_Digest(), EVP_DigestFinal(),
EVP_DigestFinal_ex(), EVP_SignFinal() and EVP_VerifyFinal().
EVP_MD_meth_set_copy() sets the function for B<md> to do extra
@@ -138,6 +148,7 @@ This cleanup function is called by EVP_MD_CTX_reset() and
EVP_MD_CTX_free().
EVP_MD_meth_set_ctrl() sets the control function for B<md>.
+See L<EVP_MD_CTX_ctrl(3)> for the available controls.
EVP_MD_meth_get_input_blocksize(), EVP_MD_meth_get_result_size(),
EVP_MD_meth_get_app_datasize(), EVP_MD_meth_get_flags(),
@@ -169,7 +180,7 @@ The B<EVP_MD> structure was openly available in OpenSSL before version
=head1 COPYRIGHT
-Copyright 2015-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_OpenInit.pod b/doc/man3/EVP_OpenInit.pod
index 61b4307b..37223c8a 100644
--- a/doc/man3/EVP_OpenInit.pod
+++ b/doc/man3/EVP_OpenInit.pod
@@ -16,7 +16,7 @@ EVP_OpenInit, EVP_OpenUpdate, EVP_OpenFinal - EVP envelope decryption
=head1 DESCRIPTION
-The EVP envelope routines are a high level interface to envelope
+The EVP envelope routines are a high-level interface to envelope
decryption. They decrypt a public key encrypted symmetric key and
then decrypt data using it.
@@ -59,7 +59,7 @@ L<EVP_SealInit(3)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_PKEY_CTX_ctrl.pod b/doc/man3/EVP_PKEY_CTX_ctrl.pod
index 75fad0f7..e4753168 100644
--- a/doc/man3/EVP_PKEY_CTX_ctrl.pod
+++ b/doc/man3/EVP_PKEY_CTX_ctrl.pod
@@ -23,6 +23,8 @@ EVP_PKEY_CTX_get_rsa_oaep_md,
EVP_PKEY_CTX_set0_rsa_oaep_label,
EVP_PKEY_CTX_get0_rsa_oaep_label,
EVP_PKEY_CTX_set_dsa_paramgen_bits,
+EVP_PKEY_CTX_set_dsa_paramgen_q_bits,
+EVP_PKEY_CTX_set_dsa_paramgen_md,
EVP_PKEY_CTX_set_dh_paramgen_prime_len,
EVP_PKEY_CTX_set_dh_paramgen_subprime_len,
EVP_PKEY_CTX_set_dh_paramgen_generator,
@@ -93,6 +95,8 @@ EVP_PKEY_CTX_set1_id, EVP_PKEY_CTX_get1_id, EVP_PKEY_CTX_get1_id_len
#include <openssl/dsa.h>
int EVP_PKEY_CTX_set_dsa_paramgen_bits(EVP_PKEY_CTX *ctx, int nbits);
+ int EVP_PKEY_CTX_set_dsa_paramgen_q_bits(EVP_PKEY_CTX *ctx, int qbits);
+ int EVP_PKEY_CTX_set_dsa_paramgen_md(EVP_PKEY_CTX *ctx, const EVP_MD *md);
#include <openssl/dh.h>
@@ -255,7 +259,17 @@ by the library and should not be freed by the caller.
=head2 DSA parameters
The EVP_PKEY_CTX_set_dsa_paramgen_bits() macro sets the number of bits used
-for DSA parameter generation to B<bits>. If not specified 1024 is used.
+for DSA parameter generation to B<nbits>. If not specified, 1024 is used.
+
+The EVP_PKEY_CTX_set_dsa_paramgen_q_bits() macro sets the number of bits in the
+subprime parameter B<q> for DSA parameter generation to B<qbits>. If not
+specified, 160 is used. If a digest function is specified below, this parameter
+is ignored and instead, the number of bits in B<q> matches the size of the
+digest.
+
+The EVP_PKEY_CTX_set_dsa_paramgen_md() macro sets the digest function used for
+DSA parameter generation to B<md>. If not specified, one of SHA-1, SHA-224, or
+SHA-256 is selected to match the bit length of B<q> above.
=head2 DH parameters
@@ -276,7 +290,7 @@ parameter generation. Use 0 for PKCS#3 DH and 1 for X9.42 DH.
The default is 0.
The EVP_PKEY_CTX_set_dh_pad() macro sets the DH padding mode. If B<pad> is
-1 the shared secret is padded with zeroes up to the size of the DH prime B<p>.
+1 the shared secret is padded with zeros up to the size of the DH prime B<p>.
If B<pad> is zero (the default) then no padding is performed.
EVP_PKEY_CTX_set_dh_nid() sets the DH parameters to values corresponding to
@@ -445,7 +459,7 @@ macros were added in 1.1.1, other functions were added in OpenSSL 1.0.0.
=head1 COPYRIGHT
-Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_PKEY_CTX_new.pod b/doc/man3/EVP_PKEY_CTX_new.pod
index f01fc975..8c3c796f 100644
--- a/doc/man3/EVP_PKEY_CTX_new.pod
+++ b/doc/man3/EVP_PKEY_CTX_new.pod
@@ -31,7 +31,7 @@ If B<ctx> is NULL, nothing is done.
=head1 NOTES
The B<EVP_PKEY_CTX> structure is an opaque public key algorithm context used
-by the OpenSSL high level public key API. Contexts B<MUST NOT> be shared between
+by the OpenSSL high-level public key API. Contexts B<MUST NOT> be shared between
threads: that is it is not permissible to use the same context simultaneously
in two threads.
@@ -52,7 +52,7 @@ These functions were added in OpenSSL 1.0.0.
=head1 COPYRIGHT
-Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_PKEY_keygen.pod b/doc/man3/EVP_PKEY_keygen.pod
index 83cebe7c..82df1536 100644
--- a/doc/man3/EVP_PKEY_keygen.pod
+++ b/doc/man3/EVP_PKEY_keygen.pod
@@ -51,7 +51,7 @@ generation callback.
The function EVP_PKEY_CTX_get_keygen_info() returns parameters associated
with the generation operation. If B<idx> is -1 the total number of
parameters available is returned. Any non negative value returns the value of
-that parameter. EVP_PKEY_CTX_gen_keygen_info() with a non-negative value for
+that parameter. EVP_PKEY_CTX_gen_keygen_info() with a nonnegative value for
B<idx> should only be called within the generation callback.
If the callback returns 0 then the key generation operation is aborted and an
@@ -196,7 +196,7 @@ in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_PKEY_meth_new.pod b/doc/man3/EVP_PKEY_meth_new.pod
index 8a167ce0..106873d9 100644
--- a/doc/man3/EVP_PKEY_meth_new.pod
+++ b/doc/man3/EVP_PKEY_meth_new.pod
@@ -8,14 +8,18 @@ EVP_PKEY_meth_set_init, EVP_PKEY_meth_set_copy, EVP_PKEY_meth_set_cleanup,
EVP_PKEY_meth_set_paramgen, EVP_PKEY_meth_set_keygen, EVP_PKEY_meth_set_sign,
EVP_PKEY_meth_set_verify, EVP_PKEY_meth_set_verify_recover, EVP_PKEY_meth_set_signctx,
EVP_PKEY_meth_set_verifyctx, EVP_PKEY_meth_set_encrypt, EVP_PKEY_meth_set_decrypt,
-EVP_PKEY_meth_set_derive, EVP_PKEY_meth_set_ctrl, EVP_PKEY_meth_set_check,
+EVP_PKEY_meth_set_derive, EVP_PKEY_meth_set_ctrl,
+EVP_PKEY_meth_set_digestsign, EVP_PKEY_meth_set_digestverify,
+EVP_PKEY_meth_set_check,
EVP_PKEY_meth_set_public_check, EVP_PKEY_meth_set_param_check,
EVP_PKEY_meth_set_digest_custom,
EVP_PKEY_meth_get_init, EVP_PKEY_meth_get_copy, EVP_PKEY_meth_get_cleanup,
EVP_PKEY_meth_get_paramgen, EVP_PKEY_meth_get_keygen, EVP_PKEY_meth_get_sign,
EVP_PKEY_meth_get_verify, EVP_PKEY_meth_get_verify_recover, EVP_PKEY_meth_get_signctx,
EVP_PKEY_meth_get_verifyctx, EVP_PKEY_meth_get_encrypt, EVP_PKEY_meth_get_decrypt,
-EVP_PKEY_meth_get_derive, EVP_PKEY_meth_get_ctrl, EVP_PKEY_meth_get_check,
+EVP_PKEY_meth_get_derive, EVP_PKEY_meth_get_ctrl,
+EVP_PKEY_meth_get_digestsign, EVP_PKEY_meth_get_digestverify,
+EVP_PKEY_meth_get_check,
EVP_PKEY_meth_get_public_check, EVP_PKEY_meth_get_param_check,
EVP_PKEY_meth_get_digest_custom,
EVP_PKEY_meth_remove
@@ -112,6 +116,18 @@ EVP_PKEY_meth_remove
int (*ctrl_str) (EVP_PKEY_CTX *ctx,
const char *type,
const char *value));
+ void EVP_PKEY_meth_set_digestsign(EVP_PKEY_METHOD *pmeth,
+ int (*digestsign) (EVP_MD_CTX *ctx,
+ unsigned char *sig,
+ size_t *siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
+ void EVP_PKEY_meth_set_digestverify(EVP_PKEY_METHOD *pmeth,
+ int (*digestverify) (EVP_MD_CTX *ctx,
+ const unsigned char *sig,
+ size_t siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
void EVP_PKEY_meth_set_check(EVP_PKEY_METHOD *pmeth,
int (*check) (EVP_PKEY *pkey));
void EVP_PKEY_meth_set_public_check(EVP_PKEY_METHOD *pmeth,
@@ -200,6 +216,18 @@ EVP_PKEY_meth_remove
int (**pctrl_str) (EVP_PKEY_CTX *ctx,
const char *type,
const char *value));
+ void EVP_PKEY_meth_get_digestsign(EVP_PKEY_METHOD *pmeth,
+ int (**digestsign) (EVP_MD_CTX *ctx,
+ unsigned char *sig,
+ size_t *siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
+ void EVP_PKEY_meth_get_digestverify(EVP_PKEY_METHOD *pmeth,
+ int (**digestverify) (EVP_MD_CTX *ctx,
+ const unsigned char *sig,
+ size_t siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
void EVP_PKEY_meth_get_check(const EVP_PKEY_METHOD *pmeth,
int (**pcheck) (EVP_PKEY *pkey));
void EVP_PKEY_meth_get_public_check(const EVP_PKEY_METHOD *pmeth,
diff --git a/doc/man3/EVP_PKEY_new.pod b/doc/man3/EVP_PKEY_new.pod
index ebe20986..faf5a117 100644
--- a/doc/man3/EVP_PKEY_new.pod
+++ b/doc/man3/EVP_PKEY_new.pod
@@ -66,27 +66,31 @@ B<EVP_PKEY_X25519>, B<EVP_PKEY_ED25519>, B<EVP_PKEY_X448> or B<EVP_PKEY_ED448>.
EVP_PKEY_new_CMAC_key() works in the same way as EVP_PKEY_new_raw_private_key()
except it is only for the B<EVP_PKEY_CMAC> algorithm type. In addition to the
raw private key data, it also takes a cipher algorithm to be used during
-creation of a CMAC in the B<cipher> argument.
+creation of a CMAC in the B<cipher> argument. The cipher should be a standard
+encryption only cipher. For example AEAD and XTS ciphers should not be used.
EVP_PKEY_new_mac_key() works in the same way as EVP_PKEY_new_raw_private_key().
New applications should use EVP_PKEY_new_raw_private_key() instead.
EVP_PKEY_get_raw_private_key() fills the buffer provided by B<priv> with raw
-private key data. The number of bytes written is populated in B<*len>. If the
-buffer B<priv> is NULL then B<*len> is populated with the number of bytes
-required to hold the key. The calling application is responsible for ensuring
-that the buffer is large enough to receive the private key data. This function
-only works for algorithms that support raw private keys. Currently this is:
-B<EVP_PKEY_HMAC>, B<EVP_PKEY_POLY1305>, B<EVP_PKEY_SIPHASH>, B<EVP_PKEY_X25519>,
-B<EVP_PKEY_ED25519>, B<EVP_PKEY_X448> or B<EVP_PKEY_ED448>.
+private key data. The size of the B<priv> buffer should be in B<*len> on entry
+to the function, and on exit B<*len> is updated with the number of bytes
+actually written. If the buffer B<priv> is NULL then B<*len> is populated with
+the number of bytes required to hold the key. The calling application is
+responsible for ensuring that the buffer is large enough to receive the private
+key data. This function only works for algorithms that support raw private keys.
+Currently this is: B<EVP_PKEY_HMAC>, B<EVP_PKEY_POLY1305>, B<EVP_PKEY_SIPHASH>,
+B<EVP_PKEY_X25519>, B<EVP_PKEY_ED25519>, B<EVP_PKEY_X448> or B<EVP_PKEY_ED448>.
EVP_PKEY_get_raw_public_key() fills the buffer provided by B<pub> with raw
-public key data. The number of bytes written is populated in B<*len>. If the
-buffer B<pub> is NULL then B<*len> is populated with the number of bytes
-required to hold the key. The calling application is responsible for ensuring
-that the buffer is large enough to receive the public key data. This function
-only works for algorithms that support raw public keys. Currently this is:
-B<EVP_PKEY_X25519>, B<EVP_PKEY_ED25519>, B<EVP_PKEY_X448> or B<EVP_PKEY_ED448>.
+public key data. The size of the B<pub> buffer should be in B<*len> on entry
+to the function, and on exit B<*len> is updated with the number of bytes
+actually written. If the buffer B<pub> is NULL then B<*len> is populated with
+the number of bytes required to hold the key. The calling application is
+responsible for ensuring that the buffer is large enough to receive the public
+key data. This function only works for algorithms that support raw public keys.
+Currently this is: B<EVP_PKEY_X25519>, B<EVP_PKEY_ED25519>, B<EVP_PKEY_X448> or
+B<EVP_PKEY_ED448>.
=head1 NOTES
@@ -126,7 +130,7 @@ EVP_PKEY_get_raw_public_key() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_PKEY_size.pod b/doc/man3/EVP_PKEY_size.pod
new file mode 100644
index 00000000..786c5039
--- /dev/null
+++ b/doc/man3/EVP_PKEY_size.pod
@@ -0,0 +1,80 @@
+=pod
+
+=head1 NAME
+
+EVP_PKEY_size, EVP_PKEY_bits, EVP_PKEY_security_bits
+- EVP_PKEY information functions
+
+=head1 SYNOPSIS
+
+ #include <openssl/evp.h>
+
+ int EVP_PKEY_size(const EVP_PKEY *pkey);
+ int EVP_PKEY_bits(const EVP_PKEY *pkey);
+ int EVP_PKEY_security_bits(const EVP_PKEY *pkey);
+
+=head1 DESCRIPTION
+
+EVP_PKEY_size() returns the maximum suitable size for the output
+buffers for almost all operations that can be done with I<pkey>.
+The primary documented use is with L<EVP_SignFinal(3)> and
+L<EVP_SealInit(3)>, but it isn't limited there. The returned size is
+also large enough for the output buffer of L<EVP_PKEY_sign(3)>,
+L<EVP_PKEY_encrypt(3)>, L<EVP_PKEY_decrypt(3)>, L<EVP_PKEY_derive(3)>.
+
+It must be stressed that, unless the documentation for the operation
+that's being performed says otherwise, the size returned by
+EVP_PKEY_size() is only preliminary and not exact, so the final
+contents of the target buffer may be smaller. It is therefore crucial
+to take note of the size given back by the function that performs the
+operation, such as L<EVP_PKEY_sign(3)> (the I<siglen> argument will
+receive that length), to avoid bugs.
+
+EVP_PKEY_bits() returns the cryptographic length of the cryptosystem
+to which the key in I<pkey> belongs, in bits. Note that the definition
+of cryptographic length is specific to the key cryptosystem.
+
+EVP_PKEY_security_bits() returns the number of security bits of the given
+I<pkey>, bits of security is defined in NIST SP800-57.
+
+=head1 RETURN VALUES
+
+EVP_PKEY_size(), EVP_PKEY_bits() and EVP_PKEY_security_bits() return a
+positive number, or 0 if this size isn't available.
+
+=head1 NOTES
+
+Most functions that have an output buffer and are mentioned with
+EVP_PKEY_size() have a functionality where you can pass NULL for the
+buffer and still pass a pointer to an integer and get the exact size
+that this function call delivers in the context that it's called in.
+This allows those functions to be called twice, once to find out the
+exact buffer size, then allocate the buffer in between, and call that
+function again actually output the data. For those functions, it
+isn't strictly necessary to call EVP_PKEY_size() to find out the
+buffer size, but may be useful in cases where it's desirable to know
+the upper limit in advance.
+
+It should also be especially noted that EVP_PKEY_size() shouldn't be
+used to get the output size for EVP_DigestSignFinal(), according to
+L<EVP_DigestSignFinal(3)/NOTES>.
+
+=head1 SEE ALSO
+
+L<EVP_SignFinal(3)>,
+L<EVP_SealInit(3)>,
+L<EVP_PKEY_sign(3)>,
+L<EVP_PKEY_encrypt(3)>,
+L<EVP_PKEY_decrypt(3)>,
+L<EVP_PKEY_derive(3)>
+
+=head1 COPYRIGHT
+
+Copyright 2020 The OpenSSL Project Authors. All Rights Reserved.
+
+Licensed under the Apache License 2.0 (the "License"). You may not use
+this file except in compliance with the License. You can obtain a copy
+in the file LICENSE in the source distribution or at
+L<https://www.openssl.org/source/license.html>.
+
+=cut
diff --git a/doc/man3/EVP_SealInit.pod b/doc/man3/EVP_SealInit.pod
index 2c2c89a7..4bee4492 100644
--- a/doc/man3/EVP_SealInit.pod
+++ b/doc/man3/EVP_SealInit.pod
@@ -17,7 +17,7 @@ EVP_SealInit, EVP_SealUpdate, EVP_SealFinal - EVP envelope encryption
=head1 DESCRIPTION
-The EVP envelope routines are a high level interface to envelope
+The EVP envelope routines are a high-level interface to envelope
encryption. They generate a random key and IV (if required) then
"envelope" it by using public key encryption. Data can then be
encrypted using this key.
@@ -82,7 +82,7 @@ L<RAND(7)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_SignInit.pod b/doc/man3/EVP_SignInit.pod
index c26b7f7d..299c5cf3 100644
--- a/doc/man3/EVP_SignInit.pod
+++ b/doc/man3/EVP_SignInit.pod
@@ -2,10 +2,8 @@
=head1 NAME
-EVP_PKEY_size,
-EVP_SignInit, EVP_SignInit_ex, EVP_SignUpdate, EVP_SignFinal,
-EVP_PKEY_security_bits - EVP signing
-functions
+EVP_SignInit, EVP_SignInit_ex, EVP_SignUpdate, EVP_SignFinal
+- EVP signing functions
=head1 SYNOPSIS
@@ -17,53 +15,40 @@ functions
void EVP_SignInit(EVP_MD_CTX *ctx, const EVP_MD *type);
- int EVP_PKEY_size(const EVP_PKEY *pkey);
- int EVP_PKEY_security_bits(const EVP_PKEY *pkey);
-
=head1 DESCRIPTION
-The EVP signature routines are a high level interface to digital
+The EVP signature routines are a high-level interface to digital
signatures.
-EVP_SignInit_ex() sets up signing context B<ctx> to use digest
-B<type> from ENGINE B<impl>. B<ctx> must be created with
+EVP_SignInit_ex() sets up signing context I<ctx> to use digest
+I<type> from B<ENGINE> I<impl>. I<ctx> must be created with
EVP_MD_CTX_new() before calling this function.
-EVP_SignUpdate() hashes B<cnt> bytes of data at B<d> into the
-signature context B<ctx>. This function can be called several times on the
-same B<ctx> to include additional data.
+EVP_SignUpdate() hashes I<cnt> bytes of data at I<d> into the
+signature context I<ctx>. This function can be called several times on the
+same I<ctx> to include additional data.
-EVP_SignFinal() signs the data in B<ctx> using the private key B<pkey> and
-places the signature in B<sig>. B<sig> must be at least EVP_PKEY_size(pkey)
-bytes in size. B<s> is an OUT parameter, and not used as an IN parameter.
+EVP_SignFinal() signs the data in I<ctx> using the private key I<pkey> and
+places the signature in I<sig>. I<sig> must be at least C<EVP_PKEY_size(pkey)>
+bytes in size. I<s> is an OUT parameter, and not used as an IN parameter.
The number of bytes of data written (i.e. the length of the signature)
-will be written to the integer at B<s>, at most EVP_PKEY_size(pkey) bytes
+will be written to the integer at I<s>, at most C<EVP_PKEY_size(pkey)> bytes
will be written.
-EVP_SignInit() initializes a signing context B<ctx> to use the default
-implementation of digest B<type>.
-
-EVP_PKEY_size() returns the maximum size of a signature in bytes. The actual
-signature returned by EVP_SignFinal() may be smaller.
-
-EVP_PKEY_security_bits() returns the number of security bits of the given B<pkey>,
-bits of security is defined in NIST SP800-57.
+EVP_SignInit() initializes a signing context I<ctx> to use the default
+implementation of digest I<type>.
=head1 RETURN VALUES
EVP_SignInit_ex(), EVP_SignUpdate() and EVP_SignFinal() return 1
for success and 0 for failure.
-EVP_PKEY_size() returns the maximum size of a signature in bytes.
-
The error codes can be obtained by L<ERR_get_error(3)>.
-EVP_PKEY_security_bits() returns the number of security bits.
-
=head1 NOTES
The B<EVP> interface to digital signatures should almost always be used in
-preference to the low level interfaces. This is because the code then becomes
+preference to the low-level interfaces. This is because the code then becomes
transparent to the algorithm used and much more flexible.
When signing with DSA private keys the random number generator must be seeded.
@@ -95,6 +80,7 @@ The previous two bugs are fixed in the newer EVP_SignDigest*() function.
=head1 SEE ALSO
+L<EVP_PKEY_size(3)>, L<EVP_PKEY_bits(3)>, L<EVP_PKEY_security_bits(3)>,
L<EVP_VerifyInit(3)>,
L<EVP_DigestInit(3)>,
L<evp(7)>, L<HMAC(3)>, L<MD2(3)>,
@@ -103,7 +89,7 @@ L<SHA1(3)>, L<dgst(1)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_VerifyInit.pod b/doc/man3/EVP_VerifyInit.pod
index 647c99bc..3c6b2dae 100644
--- a/doc/man3/EVP_VerifyInit.pod
+++ b/doc/man3/EVP_VerifyInit.pod
@@ -19,7 +19,7 @@ EVP_VerifyInit, EVP_VerifyUpdate, EVP_VerifyFinal
=head1 DESCRIPTION
-The EVP signature verification routines are a high level interface to digital
+The EVP signature verification routines are a high-level interface to digital
signatures.
EVP_VerifyInit_ex() sets up verification context B<ctx> to use digest
@@ -49,7 +49,7 @@ The error codes can be obtained by L<ERR_get_error(3)>.
=head1 NOTES
The B<EVP> interface to digital signatures should almost always be used in
-preference to the low level interfaces. This is because the code then becomes
+preference to the low-level interfaces. This is because the code then becomes
transparent to the algorithm used and much more flexible.
The call to EVP_VerifyFinal() internally finalizes a copy of the digest context.
@@ -85,7 +85,7 @@ L<SHA1(3)>, L<dgst(1)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_aes.pod b/doc/man3/EVP_aes.pod
index 4192a9ec..6377fc9a 100644
--- a/doc/man3/EVP_aes.pod
+++ b/doc/man3/EVP_aes.pod
@@ -160,6 +160,13 @@ In particular, XTS-AES-128 (B<EVP_aes_128_xts>) takes input of a 256-bit key to
achieve AES 128-bit security, and XTS-AES-256 (B<EVP_aes_256_xts>) takes input
of a 512-bit key to achieve AES 256-bit security.
+The XTS implementation in OpenSSL does not support streaming. That is there must
+only be one L<EVP_EncryptUpdate(3)> call per L<EVP_EncryptInit_ex(3)> call (and
+similarly with the "Decrypt" functions).
+
+The I<iv> parameter to L<EVP_EncryptInit_ex(3)> or L<EVP_DecryptInit_ex(3)> is
+the XTS "tweak" value.
+
=back
=head1 RETURN VALUES
@@ -176,7 +183,7 @@ L<EVP_CIPHER_meth_new(3)>
=head1 COPYRIGHT
-Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/HMAC.pod b/doc/man3/HMAC.pod
index 30c0e6ba..27022686 100644
--- a/doc/man3/HMAC.pod
+++ b/doc/man3/HMAC.pod
@@ -21,7 +21,7 @@ HMAC_size
#include <openssl/hmac.h>
unsigned char *HMAC(const EVP_MD *evp_md, const void *key,
- int key_len, const unsigned char *d, int n,
+ int key_len, const unsigned char *d, size_t n,
unsigned char *md, unsigned int *md_len);
HMAC_CTX *HMAC_CTX_new(void);
@@ -29,7 +29,7 @@ HMAC_size
int HMAC_Init_ex(HMAC_CTX *ctx, const void *key, int key_len,
const EVP_MD *md, ENGINE *impl);
- int HMAC_Update(HMAC_CTX *ctx, const unsigned char *data, int len);
+ int HMAC_Update(HMAC_CTX *ctx, const unsigned char *data, size_t len);
int HMAC_Final(HMAC_CTX *ctx, unsigned char *md, unsigned int *len);
void HMAC_CTX_free(HMAC_CTX *ctx);
@@ -69,7 +69,7 @@ EVP_shake256().
HMAC_CTX_new() creates a new HMAC_CTX in heap memory.
-HMAC_CTX_reset() zeroes an existing B<HMAC_CTX> and associated
+HMAC_CTX_reset() zeros an existing B<HMAC_CTX> and associated
resources, making it suitable for new computations as if it was newly
created with HMAC_CTX_new().
@@ -149,7 +149,7 @@ OpenSSL before version 1.0.0.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OCSP_cert_to_id.pod b/doc/man3/OCSP_cert_to_id.pod
index c8d39c19..49393f73 100644
--- a/doc/man3/OCSP_cert_to_id.pod
+++ b/doc/man3/OCSP_cert_to_id.pod
@@ -52,7 +52,7 @@ corresponding parameter can be set to B<NULL>.
OCSP_cert_to_id() and OCSP_cert_id_new() return either a pointer to a valid
B<OCSP_CERTID> structure or B<NULL> if an error occurred.
-OCSP_id_cmp() and OCSP_id_issuer_cmp() returns zero for a match and non-zero
+OCSP_id_cmp() and OCSP_id_issuer_cmp() returns zero for a match and nonzero
otherwise.
OCSP_CERTID_free() does not return a value.
@@ -79,7 +79,7 @@ L<OCSP_sendreq_new(3)>
=head1 COPYRIGHT
-Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OCSP_request_add1_nonce.pod b/doc/man3/OCSP_request_add1_nonce.pod
index 66e4c7b8..777d876d 100644
--- a/doc/man3/OCSP_request_add1_nonce.pod
+++ b/doc/man3/OCSP_request_add1_nonce.pod
@@ -24,7 +24,7 @@ it adds a nonce to OCSP basic response B<resp>.
OCSP_check_nonce() compares the nonce value in B<req> and B<resp>.
-OCSP_copy_nonce() copys any nonce value present in B<req> to B<resp>.
+OCSP_copy_nonce() copies any nonce value present in B<req> to B<resp>.
=head1 RETURN VALUES
@@ -57,7 +57,7 @@ performance reasons. As a result they do not support nonces.
The return values of OCSP_check_nonce() can be checked to cover each case. A
positive return value effectively indicates success: nonces are both present
-and match, both absent or present in the response only. A non-zero return
+and match, both absent or present in the response only. A nonzero return
additionally covers the case where the nonce is present in the request only:
this will happen if the responder doesn't support nonces. A zero return value
indicates present and mismatched nonces: this should be treated as an error
@@ -74,7 +74,7 @@ L<OCSP_sendreq_new(3)>
=head1 COPYRIGHT
-Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OCSP_resp_find_status.pod b/doc/man3/OCSP_resp_find_status.pod
index 35f7d35e..72dcc426 100644
--- a/doc/man3/OCSP_resp_find_status.pod
+++ b/doc/man3/OCSP_resp_find_status.pod
@@ -112,7 +112,7 @@ no freeing of the results is necessary.
OCSP_check_validity() checks the validity of B<thisupd> and B<nextupd> values
which will be typically obtained from OCSP_resp_find_status() or
-OCSP_single_get0_status(). If B<sec> is non-zero it indicates how many seconds
+OCSP_single_get0_status(). If B<sec> is nonzero it indicates how many seconds
leeway should be allowed in the check. If B<maxsec> is positive it indicates
the maximum age of B<thisupd> in seconds.
@@ -167,7 +167,7 @@ can then take appropriate action based on the status of the certificate.
An OCSP response for a certificate contains B<thisUpdate> and B<nextUpdate>
fields. Normally the current time should be between these two values. To
-account for clock skew the B<maxsec> field can be set to non-zero in
+account for clock skew the B<maxsec> field can be set to nonzero in
OCSP_check_validity(). Some responders do not set the B<nextUpdate> field, this
would otherwise mean an ancient response would be considered valid: the
B<maxsec> parameter to OCSP_check_validity() can be used to limit the permitted
@@ -189,7 +189,7 @@ L<OCSP_sendreq_new(3)>
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OCSP_response_status.pod b/doc/man3/OCSP_response_status.pod
index 82f95b3a..e7e22e4c 100644
--- a/doc/man3/OCSP_response_status.pod
+++ b/doc/man3/OCSP_response_status.pod
@@ -58,7 +58,7 @@ with the X509 certificate B<cert>.
OCSP_basic_sign() signs OCSP response B<brsp> using certificate B<signer>, private key
B<key>, digest B<dgst> and additional certificates B<certs>. If the B<flags> option
-B<OCSP_NOCERTS> is set then no certificates will be included in the request. If the
+B<OCSP_NOCERTS> is set then no certificates will be included in the response. If the
B<flags> option B<OCSP_RESPID_KEY> is set then the responder is identified by key ID
rather than by name. OCSP_basic_sign_ctx() also signs OCSP response B<brsp> but
uses the parameters contained in digest context B<ctx>.
@@ -107,7 +107,7 @@ The OCSP_basic_sign_ctx() function was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OCSP_sendreq_new.pod b/doc/man3/OCSP_sendreq_new.pod
index 65ba235c..65bdde88 100644
--- a/doc/man3/OCSP_sendreq_new.pod
+++ b/doc/man3/OCSP_sendreq_new.pod
@@ -2,9 +2,15 @@
=head1 NAME
-OCSP_sendreq_new, OCSP_sendreq_nbio, OCSP_REQ_CTX_free,
-OCSP_set_max_response_length, OCSP_REQ_CTX_add1_header,
-OCSP_REQ_CTX_set1_req, OCSP_sendreq_bio - OCSP responder query functions
+OCSP_sendreq_new,
+OCSP_sendreq_nbio,
+OCSP_REQ_CTX_free,
+OCSP_set_max_response_length,
+OCSP_REQ_CTX_add1_header,
+OCSP_REQ_CTX_set1_req,
+OCSP_sendreq_bio,
+OCSP_REQ_CTX_i2d
+- OCSP responder query functions
=head1 SYNOPSIS
@@ -24,8 +30,10 @@ OCSP_REQ_CTX_set1_req, OCSP_sendreq_bio - OCSP responder query functions
int OCSP_REQ_CTX_set1_req(OCSP_REQ_CTX *rctx, OCSP_REQUEST *req);
- OCSP_RESPONSE *OCSP_sendreq_bio(BIO *io, const char *path, OCSP_REQUEST *req,
- int maxline);
+ OCSP_RESPONSE *OCSP_sendreq_bio(BIO *io, const char *path, OCSP_REQUEST *req);
+
+ int OCSP_REQ_CTX_i2d(OCSP_REQ_CTX *rctx, const char *content_type,
+ const ASN1_ITEM *it, ASN1_VALUE *req);
=head1 DESCRIPTION
@@ -35,7 +43,7 @@ response header maximum line length of B<maxline>. If B<maxline> is zero a
default value of 4k is used. The OCSP request B<req> may be set to B<NULL>
and provided later if required.
-OCSP_sendreq_nbio() performs non-blocking I/O on the OCSP request context
+OCSP_sendreq_nbio() performs nonblocking I/O on the OCSP request context
B<rctx>. When the operation is complete it returns the response in B<*presp>.
OCSP_REQ_CTX_free() frees up the OCSP context B<rctx>.
@@ -52,10 +60,19 @@ additional headers are set.
OCSP_REQ_CTX_set1_req() sets the OCSP request in B<rctx> to B<req>. This
function should be called after any calls to OCSP_REQ_CTX_add1_header().
+OCSP_REQ_CTX_set1_req(rctx, req) is equivalent to the following:
+
+ OCSP_REQ_CTX_i2d(rctx, "application/ocsp-request",
+ ASN1_ITEM_rptr(OCSP_REQUEST), (ASN1_VALUE *)req)
+
+OCSP_REQ_CTX_i2d() sets the request context B<rctx> to have the request
+B<req>, which has the ASN.1 type B<it>.
+The B<content_type>, if not NULL, will be included in the HTTP request.
+The function should be called after all other headers have already been added.
OCSP_sendreq_bio() performs an OCSP request using the responder B<io>, the URL
-path B<path>, the OCSP request B<req> and with a response header maximum line
-length of B<maxline>. If B<maxline> is zero a default value of 4k is used.
+path B<path>, and the OCSP request B<req> with a response header maximum line
+length 4k. It waits indefinitely on a response.
=head1 RETURN VALUES
@@ -65,8 +82,8 @@ an error occurred.
OCSP_sendreq_nbio() returns B<1> if the operation was completed successfully,
B<-1> if the operation should be retried and B<0> if an error occurred.
-OCSP_REQ_CTX_add1_header() and OCSP_REQ_CTX_set1_req() return B<1> for success
-and B<0> for failure.
+OCSP_REQ_CTX_add1_header(), OCSP_REQ_CTX_set1_req(), and OCSP_REQ_CTX_i2d()
+return B<1> for success and B<0> for failure.
OCSP_sendreq_bio() returns the B<OCSP_RESPONSE> structure sent by the
responder or B<NULL> if an error occurred.
@@ -97,7 +114,7 @@ corresponding BIO can be examined to determine which operation (read or
write) should be retried and appropriate action taken (for example a select()
call on the underlying socket).
-OCSP_sendreq_bio() does not support retries and so cannot handle non-blocking
+OCSP_sendreq_bio() does not support retries and so cannot handle nonblocking
I/O efficiently. It is retained for compatibility and its use in new
applications is not recommended.
@@ -112,7 +129,7 @@ L<OCSP_response_status(3)>
=head1 COPYRIGHT
-Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_LH_COMPFUNC.pod b/doc/man3/OPENSSL_LH_COMPFUNC.pod
index a312ef73..ae0a4bbf 100644
--- a/doc/man3/OPENSSL_LH_COMPFUNC.pod
+++ b/doc/man3/OPENSSL_LH_COMPFUNC.pod
@@ -51,7 +51,7 @@ an unsigned long hash value for its key field. The hash value is
normally truncated to a power of 2, so make sure that your hash
function returns well mixed low order bits. The B<compare> callback
takes two arguments (pointers to two hash table entries), and returns
-0 if their keys are equal, non-zero otherwise.
+0 if their keys are equal, nonzero otherwise.
If your hash table
will contain items of some particular type and the B<hash> and
@@ -196,7 +196,7 @@ all such parameters as constant.
As an example, a hash table may be maintained by code that, for
reasons of encapsulation, has only "const" access to the data being
-indexed in the hash table (ie. it is returned as "const" from
+indexed in the hash table (i.e. it is returned as "const" from
elsewhere in their code) - in this case the LHASH prototypes are
appropriate as-is. Conversely, if the caller is responsible for the
life-time of the data in question, then they may well wish to make
@@ -229,7 +229,7 @@ type checking.
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_config.pod b/doc/man3/OPENSSL_config.pod
index 6294ee1d..528eef0c 100644
--- a/doc/man3/OPENSSL_config.pod
+++ b/doc/man3/OPENSSL_config.pod
@@ -41,7 +41,7 @@ initialization (that is before starting any threads).
There are several reasons why calling the OpenSSL configuration routines is
advisable. For example, to load dynamic ENGINEs from shared libraries (DSOs).
-However very few applications currently support the control interface and so
+However, very few applications currently support the control interface and so
very few can load and use dynamic ENGINEs. Equally in future more sophisticated
ENGINEs will require certain control operations to customize them. If an
application calls OPENSSL_config() it doesn't need to know or care about
@@ -75,7 +75,7 @@ deprecated in OpenSSL 1.1.0 by OPENSSL_init_crypto().
=head1 COPYRIGHT
-Copyright 2004-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_ia32cap.pod b/doc/man3/OPENSSL_ia32cap.pod
index 08a18116..73c96d70 100644
--- a/doc/man3/OPENSSL_ia32cap.pod
+++ b/doc/man3/OPENSSL_ia32cap.pod
@@ -102,7 +102,7 @@ and RORX;
=item bit #64+19 denoting availability of ADCX and ADOX instructions;
=item bit #64+21 denoting availability of VPMADD52[LH]UQ instructions,
-a.k.a. AVX512IFMA extension;
+aka AVX512IFMA extension;
=item bit #64+29 denoting availability of SHA extension;
@@ -157,7 +157,7 @@ Not available.
=head1 COPYRIGHT
-Copyright 2004-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_init_crypto.pod b/doc/man3/OPENSSL_init_crypto.pod
index c7823e32..3447f5f1 100644
--- a/doc/man3/OPENSSL_init_crypto.pod
+++ b/doc/man3/OPENSSL_init_crypto.pod
@@ -39,13 +39,13 @@ needs so no explicit initialisation is required. Similarly it will also
automatically deinitialise as required.
However, there may be situations when explicit initialisation is desirable or
-needed, for example when some non-default initialisation is required. The
+needed, for example when some nondefault initialisation is required. The
function OPENSSL_init_crypto() can be used for this purpose for
libcrypto (see also L<OPENSSL_init_ssl(3)> for the libssl
equivalent).
Numerous internal OpenSSL functions call OPENSSL_init_crypto().
-Therefore, in order to perform non-default initialisation,
+Therefore, in order to perform nondefault initialisation,
OPENSSL_init_crypto() MUST be called by application code prior to
any other OpenSSL function calls.
@@ -216,10 +216,10 @@ The filename, application name, and flags can be customized by providing a
non-null B<OPENSSL_INIT_SETTINGS> object.
The object can be allocated via B<OPENSSL_init_new()>.
The B<OPENSSL_INIT_set_config_filename()> function can be used to specify a
-non-default filename, which is copied and need not refer to persistent storage.
+nondefault filename, which is copied and need not refer to persistent storage.
Similarly, OPENSSL_INIT_set_config_appname() can be used to specify a
-non-default application name.
-Finally, OPENSSL_INIT_set_file_flags can be used to specify non-default flags.
+nondefault application name.
+Finally, OPENSSL_INIT_set_file_flags can be used to specify nondefault flags.
If the B<CONF_MFLAGS_IGNORE_RETURN_CODES> flag is not included, any errors in
the configuration file will cause an error return from B<OPENSSL_init_crypto>
or indirectly L<OPENSSL_init_ssl(3)>.
@@ -264,7 +264,7 @@ and OPENSSL_INIT_free() functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_init_ssl.pod b/doc/man3/OPENSSL_init_ssl.pod
index b963e5e7..cf4f0891 100644
--- a/doc/man3/OPENSSL_init_ssl.pod
+++ b/doc/man3/OPENSSL_init_ssl.pod
@@ -23,14 +23,14 @@ needs so no explicit initialisation is required. Similarly it will also
automatically deinitialise as required.
However, there may be situations when explicit initialisation is desirable or
-needed, for example when some non-default initialisation is required. The
+needed, for example when some nondefault initialisation is required. The
function OPENSSL_init_ssl() can be used for this purpose. Calling
this function will explicitly initialise BOTH libcrypto and libssl. To
explicitly initialise ONLY libcrypto see the
L<OPENSSL_init_crypto(3)> function.
Numerous internal OpenSSL functions call OPENSSL_init_ssl().
-Therefore, in order to perform non-default initialisation,
+Therefore, in order to perform nondefault initialisation,
OPENSSL_init_ssl() MUST be called by application code prior to
any other OpenSSL function calls.
@@ -74,7 +74,7 @@ The OPENSSL_init_ssl() function was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_malloc.pod b/doc/man3/OPENSSL_malloc.pod
index 2d678c95..9834a8f1 100644
--- a/doc/man3/OPENSSL_malloc.pod
+++ b/doc/man3/OPENSSL_malloc.pod
@@ -104,7 +104,7 @@ before ultimately calling OPENSSL_free().
OPENSSL_cleanse() fills B<ptr> of size B<len> with a string of 0's.
Use OPENSSL_cleanse() with care if the memory is a mapping of a file.
-If the storage controller uses write compression, then its possible
+If the storage controller uses write compression, then it's possible
that sensitive tail bytes will survive zeroization because the block of
zeros will be compressed. If the storage controller uses wear leveling,
then the old sensitive data will not be overwritten; rather, a block of
@@ -160,7 +160,7 @@ about what is being done.
For example, identifying the field names when parsing a complicated
data structure.
OPENSSL_mem_debug_push() (which calls CRYPTO_mem_debug_push())
-attachs an identifying string to the allocation stack.
+attaches an identifying string to the allocation stack.
This must be a global or other static string; it is not copied.
OPENSSL_mem_debug_pop() removes identifying state from the stack.
@@ -245,7 +245,7 @@ only, say, the malloc() implementation is outright dangerous.>
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OPENSSL_secure_malloc.pod b/doc/man3/OPENSSL_secure_malloc.pod
index 6c395383..86c2522a 100644
--- a/doc/man3/OPENSSL_secure_malloc.pod
+++ b/doc/man3/OPENSSL_secure_malloc.pod
@@ -7,6 +7,7 @@ CRYPTO_secure_malloc_done, OPENSSL_secure_malloc, CRYPTO_secure_malloc,
OPENSSL_secure_zalloc, CRYPTO_secure_zalloc, OPENSSL_secure_free,
CRYPTO_secure_free, OPENSSL_secure_clear_free,
CRYPTO_secure_clear_free, OPENSSL_secure_actual_size,
+CRYPTO_secure_allocated,
CRYPTO_secure_used - secure heap storage
=head1 SYNOPSIS
@@ -33,6 +34,7 @@ CRYPTO_secure_used - secure heap storage
size_t OPENSSL_secure_actual_size(const void *ptr);
+ int CRYPTO_secure_allocated(const void *ptr);
size_t CRYPTO_secure_used();
=head1 DESCRIPTION
@@ -90,6 +92,8 @@ OPENSSL_secure_actual_size() tells the actual size allocated to the
pointer; implementations may allocate more space than initially
requested, in order to "round up" and reduce secure heap fragmentation.
+OPENSSL_secure_allocated() tells if a pointer is allocated in the secure heap.
+
CRYPTO_secure_used() returns the number of bytes allocated in the
secure heap.
diff --git a/doc/man3/OSSL_STORE_open.pod b/doc/man3/OSSL_STORE_open.pod
index 1e8ebf7c..71fdd693 100644
--- a/doc/man3/OSSL_STORE_open.pod
+++ b/doc/man3/OSSL_STORE_open.pod
@@ -46,21 +46,22 @@ OSSL_STORE_close() to work together.
=head2 Functions
-OSSL_STORE_open() takes a uri or path B<uri>, password UI method
-B<ui_method> with associated data B<ui_data>, and post processing
-callback B<post_process> with associated data B<post_process_data>,
+OSSL_STORE_open() takes a uri or path I<uri>, password UI method
+I<ui_method> with associated data I<ui_data>, and post processing
+callback I<post_process> with associated data I<post_process_data>,
opens a channel to the data located at that URI and returns a
B<OSSL_STORE_CTX> with all necessary internal information.
-The given B<ui_method> and B<ui_data_data> will be reused by all
-functions that use B<OSSL_STORE_CTX> when interaction is needed.
-The given B<post_process> and B<post_process_data> will be reused by
+The given I<ui_method> and I<ui_data> will be reused by all
+functions that use B<OSSL_STORE_CTX> when interaction is needed,
+for instance to provide a password.
+The given I<post_process> and I<post_process_data> will be reused by
OSSL_STORE_load() to manipulate or drop the value to be returned.
-The B<post_process> function drops values by returning B<NULL>, which
+The I<post_process> function drops values by returning NULL, which
will cause OSSL_STORE_load() to start its process over with loading
-the next object, until B<post_process> returns something other than
-B<NULL>, or the end of data is reached as indicated by OSSL_STORE_eof().
+the next object, until I<post_process> returns something other than
+NULL, or the end of data is reached as indicated by OSSL_STORE_eof().
-OSSL_STORE_ctrl() takes a B<OSSL_STORE_CTX>, and command number B<cmd> and
+OSSL_STORE_ctrl() takes a B<OSSL_STORE_CTX>, and command number I<cmd> and
more arguments not specified here.
The available loader specific command numbers and arguments they each
take depends on the loader that's used and is documented together with
@@ -94,6 +95,7 @@ OSSL_STORE_eof() shows that the end of data has been reached.
OSSL_STORE_close() takes a B<OSSL_STORE_CTX>, closes the channel that was opened
by OSSL_STORE_open() and frees all other information that was stored in the
B<OSSL_STORE_CTX>, as well as the B<OSSL_STORE_CTX> itself.
+If I<ctx> is NULL it does nothing.
=head1 SUPPORTED SCHEMES
@@ -123,12 +125,12 @@ See L<passphrase-encoding(7)> for further information.
=head1 RETURN VALUES
OSSL_STORE_open() returns a pointer to a B<OSSL_STORE_CTX> on success, or
-B<NULL> on failure.
+NULL on failure.
OSSL_STORE_load() returns a pointer to a B<OSSL_STORE_INFO> on success, or
-B<NULL> on error or when end of data is reached.
+NULL on error or when end of data is reached.
Use OSSL_STORE_error() and OSSL_STORE_eof() to determine the meaning of a
-returned B<NULL>.
+returned NULL.
OSSL_STORE_eof() returns 1 if the end of data has been reached, otherwise
0.
@@ -149,9 +151,12 @@ OSSL_STORE_CTX(), OSSL_STORE_post_process_info_fn(), OSSL_STORE_open(),
OSSL_STORE_ctrl(), OSSL_STORE_load(), OSSL_STORE_eof() and OSSL_STORE_close()
were added in OpenSSL 1.1.1.
+Handling of NULL I<ctx> argument for OSSL_STORE_close()
+was introduced in OpenSSL 1.1.1h.
+
=head1 COPYRIGHT
-Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/PEM_bytes_read_bio.pod b/doc/man3/PEM_bytes_read_bio.pod
index 3a5bfee9..eb2fb205 100644
--- a/doc/man3/PEM_bytes_read_bio.pod
+++ b/doc/man3/PEM_bytes_read_bio.pod
@@ -17,7 +17,8 @@ PEM_bytes_read_bio, PEM_bytes_read_bio_secmem - read a PEM-encoded data structur
=head1 DESCRIPTION
-PEM_bytes_read_bio() reads PEM-formatted (RFC 1421) data from the BIO
+PEM_bytes_read_bio() reads PEM-formatted (IETF RFC 1421 and IETF RFC 7468)
+data from the BIO
I<bp> for the data type given in I<name> (RSA PRIVATE KEY, CERTIFICATE,
etc.). If multiple PEM-encoded data structures are present in the same
stream, PEM_bytes_read_bio() will skip non-matching data types and
@@ -66,7 +67,6 @@ PEM_bytes_read_bio() and PEM_bytes_read_bio_secmem() return 1 for success or
=head1 SEE ALSO
-L<PEM(3)>,
L<PEM_read_bio_ex(3)>,
L<passphrase-encoding(7)>
diff --git a/doc/man3/PEM_read_bio_PrivateKey.pod b/doc/man3/PEM_read_bio_PrivateKey.pod
index 7c381e85..233df7fc 100644
--- a/doc/man3/PEM_read_bio_PrivateKey.pod
+++ b/doc/man3/PEM_read_bio_PrivateKey.pod
@@ -15,7 +15,8 @@ PEM_write_RSAPublicKey, PEM_read_bio_RSA_PUBKEY, PEM_read_RSA_PUBKEY,
PEM_write_bio_RSA_PUBKEY, PEM_write_RSA_PUBKEY, PEM_read_bio_DSAPrivateKey,
PEM_read_DSAPrivateKey, PEM_write_bio_DSAPrivateKey, PEM_write_DSAPrivateKey,
PEM_read_bio_DSA_PUBKEY, PEM_read_DSA_PUBKEY, PEM_write_bio_DSA_PUBKEY,
-PEM_write_DSA_PUBKEY, PEM_read_bio_DSAparams, PEM_read_DSAparams,
+PEM_write_DSA_PUBKEY, PEM_read_bio_Parameters, PEM_write_bio_Parameters,
+PEM_read_bio_DSAparams, PEM_read_DSAparams,
PEM_write_bio_DSAparams, PEM_write_DSAparams, PEM_read_bio_DHparams,
PEM_read_DHparams, PEM_write_bio_DHparams, PEM_write_DHparams,
PEM_read_bio_X509, PEM_read_X509, PEM_write_bio_X509, PEM_write_X509,
@@ -110,6 +111,9 @@ PEM_write_bio_PKCS7, PEM_write_PKCS7 - PEM routines
int PEM_write_bio_DSA_PUBKEY(BIO *bp, DSA *x);
int PEM_write_DSA_PUBKEY(FILE *fp, DSA *x);
+ EVP_PKEY *PEM_read_bio_Parameters(BIO *bp, EVP_PKEY **x);
+ int PEM_write_bio_Parameters(BIO *bp, const EVP_PKEY *x);
+
DSA *PEM_read_bio_DSAparams(BIO *bp, DSA **x, pem_password_cb *cb, void *u);
DSA *PEM_read_DSAparams(FILE *fp, DSA **x, pem_password_cb *cb, void *u);
int PEM_write_bio_DSAparams(BIO *bp, DSA *x);
@@ -202,7 +206,7 @@ RSA structure. The public key is encoded using a PKCS#1 RSAPublicKey
structure.
The B<RSA_PUBKEY> functions also process an RSA public key using
-an RSA structure. However the public key is encoded using a
+an RSA structure. However, the public key is encoded using a
SubjectPublicKeyInfo structure and an error occurs if the public
key is not RSA.
@@ -216,6 +220,12 @@ a DSA structure. The public key is encoded using a
SubjectPublicKeyInfo structure and an error occurs if the public
key is not DSA.
+The B<Parameters> functions read or write key parameters in PEM format using
+an EVP_PKEY structure. The encoding depends on the type of key; for DSA key
+parameters, it will be a Dss-Parms structure as defined in RFC2459, and for DH
+key parameters, it will be a PKCS#3 DHparameter structure. I<These functions
+only exist for the B<BIO> type>.
+
The B<DSAparams> functions process DSA parameters using a DSA
structure. The parameters are encoded using a Dss-Parms structure
as defined in RFC2459.
@@ -377,7 +387,7 @@ The pseudo code to derive the key would look similar to:
=head1 BUGS
The PEM read routines in some versions of OpenSSL will not correctly reuse
-an existing structure. Therefore the following:
+an existing structure. Therefore, the following:
PEM_read_bio_X509(bp, &x, 0, NULL);
@@ -473,7 +483,7 @@ as they will be formally deprecated in a future releases.
=head1 COPYRIGHT
-Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/PEM_read_bio_ex.pod b/doc/man3/PEM_read_bio_ex.pod
index a16b0ede..9748e74e 100644
--- a/doc/man3/PEM_read_bio_ex.pod
+++ b/doc/man3/PEM_read_bio_ex.pod
@@ -52,7 +52,7 @@ PEM_read_bio_ex() returns 1 for success or 0 for failure.
=head1 SEE ALSO
-L<PEM(3)>
+L<PEM_bytes_read_bio(3)>
=head1 HISTORY
diff --git a/doc/man3/PKCS7_verify.pod b/doc/man3/PKCS7_verify.pod
index ebcdde07..9e238c56 100644
--- a/doc/man3/PKCS7_verify.pod
+++ b/doc/man3/PKCS7_verify.pod
@@ -91,7 +91,7 @@ useful if one merely wishes to write the content to B<out> and its validity
is not considered important.
Chain verification should arguably be performed using the signing time rather
-than the current time. However since the signing time is supplied by the
+than the current time. However, since the signing time is supplied by the
signer it cannot be trusted without additional evidence (such as a trusted
timestamp).
@@ -119,7 +119,7 @@ L<ERR_get_error(3)>, L<PKCS7_sign(3)>
=head1 COPYRIGHT
-Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RAND_DRBG_new.pod b/doc/man3/RAND_DRBG_new.pod
index 5da91be9..ca52e2f3 100644
--- a/doc/man3/RAND_DRBG_new.pod
+++ b/doc/man3/RAND_DRBG_new.pod
@@ -56,7 +56,7 @@ its type and to instantiate it.
The optional B<flags> argument specifies a set of bit flags which can be
joined using the | operator. Currently, the only flag is
-RAND_DRBG_FLAG_CTR_NO_DF, which disables the use of a the derivation function
+RAND_DRBG_FLAG_CTR_NO_DF, which disables the use of the derivation function
ctr_df. For an explanation, see [NIST SP 800-90A Rev. 1].
If a B<parent> instance is specified then this will be used instead of
@@ -117,7 +117,7 @@ The RAND_DRBG functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RAND_DRBG_set_callbacks.pod b/doc/man3/RAND_DRBG_set_callbacks.pod
index 55e9a8b7..4d046456 100644
--- a/doc/man3/RAND_DRBG_set_callbacks.pod
+++ b/doc/man3/RAND_DRBG_set_callbacks.pod
@@ -77,7 +77,7 @@ does not satisfy the conditions requested by [NIST SP 800-90C], then
it must also indicate an error by returning a buffer length of 0.
See NOTES section for more details.
-The B<cleanup_entropy>() callback is called from the B<drbg> to to clear and
+The B<cleanup_entropy>() callback is called from the B<drbg> to clear and
free the buffer allocated previously by get_entropy().
The values B<out> and B<outlen> are the random buffer's address and length,
as returned by the get_entropy() callback.
@@ -136,7 +136,7 @@ The RAND_DRBG functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RAND_add.pod b/doc/man3/RAND_add.pod
index 4ba6ff97..e4454d44 100644
--- a/doc/man3/RAND_add.pod
+++ b/doc/man3/RAND_add.pod
@@ -62,7 +62,7 @@ usage by the random seed sources. Some seed sources maintain open file
descriptors by default, which allows such sources to operate in a
chroot(2) jail without the associated device nodes being available. When
the B<keep> argument is zero, this call disables the retention of file
-descriptors. Conversely, a non-zero argument enables the retention of
+descriptors. Conversely, a nonzero argument enables the retention of
file descriptors. This function is usually called during initialization
and it takes effect immediately.
@@ -94,7 +94,7 @@ not be used.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RAND_bytes.pod b/doc/man3/RAND_bytes.pod
index e2265d17..c44c2f96 100644
--- a/doc/man3/RAND_bytes.pod
+++ b/doc/man3/RAND_bytes.pod
@@ -19,8 +19,8 @@ Deprecated:
=head1 DESCRIPTION
-RAND_bytes() puts B<num> cryptographically strong pseudo-random bytes
-into B<buf>.
+RAND_bytes() generates B<num> random bytes using a cryptographically
+secure pseudo random generator (CSPRNG) and stores them in B<buf>.
RAND_priv_bytes() has the same semantics as RAND_bytes(). It is intended to
be used for generating values that should remain private. If using the
@@ -31,10 +31,22 @@ and L<RAND_DRBG(7)>.
=head1 NOTES
-Always check the error return value of RAND_bytes() and
-RAND_priv_bytes() and do not take randomness for granted: an error occurs
-if the CSPRNG has not been seeded with enough randomness to ensure an
-unpredictable byte sequence.
+By default, the OpenSSL CSPRNG supports a security level of 256 bits, provided it
+was able to seed itself from a trusted entropy source.
+On all major platforms supported by OpenSSL (including the Unix-like platforms
+and Windows), OpenSSL is configured to automatically seed the CSPRNG on first use
+using the operating systems's random generator.
+
+If the entropy source fails or is not available, the CSPRNG will enter an
+error state and refuse to generate random bytes. For that reason, it is important
+to always check the error return value of RAND_bytes() and RAND_priv_bytes() and
+not take randomness for granted.
+
+On other platforms, there might not be a trusted entropy source available
+or OpenSSL might have been explicitly configured to use different entropy sources.
+If you are in doubt about the quality of the entropy source, don't hesitate to ask
+your operating system vendor or post a question on GitHub or the openssl-users
+mailing list.
=head1 RETURN VALUES
@@ -68,7 +80,7 @@ The RAND_priv_bytes() function was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RAND_load_file.pod b/doc/man3/RAND_load_file.pod
index 24f8fdcf..6ddd2c89 100644
--- a/doc/man3/RAND_load_file.pod
+++ b/doc/man3/RAND_load_file.pod
@@ -17,7 +17,7 @@ RAND_load_file, RAND_write_file, RAND_file_name - PRNG seed file
=head1 DESCRIPTION
RAND_load_file() reads a number of bytes from file B<filename> and
-adds them to the PRNG. If B<max_bytes> is non-negative,
+adds them to the PRNG. If B<max_bytes> is nonnegative,
up to B<max_bytes> are read;
if B<max_bytes> is -1, the complete file is read.
Do not load the same file multiple times unless its contents have
@@ -37,7 +37,7 @@ file. B<buf> points to a buffer of size B<num> in which to store the
filename.
On all systems, if the environment variable B<RANDFILE> is set, its
-value will be used as the seed file name.
+value will be used as the seed filename.
Otherwise, the file is called C<.rnd>, found in platform dependent locations:
=over 4
@@ -57,7 +57,7 @@ Otherwise, the file is called C<.rnd>, found in platform dependent locations:
=back
If C<$HOME> (on non-Windows and non-VMS system) is not set either, or
-B<num> is too small for the path name, an error occurs.
+B<num> is too small for the pathname, an error occurs.
=head1 RETURN VALUES
@@ -77,7 +77,7 @@ L<RAND(7)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RAND_set_rand_method.pod b/doc/man3/RAND_set_rand_method.pod
index 83a6cac1..1e9360d2 100644
--- a/doc/man3/RAND_set_rand_method.pod
+++ b/doc/man3/RAND_set_rand_method.pod
@@ -33,10 +33,10 @@ RAND_get_rand_method() returns a pointer to the current B<RAND_METHOD>.
=head1 THE RAND_METHOD STRUCTURE
typedef struct rand_meth_st {
- void (*seed)(const void *buf, int num);
+ int (*seed)(const void *buf, int num);
int (*bytes)(unsigned char *buf, int num);
void (*cleanup)(void);
- void (*add)(const void *buf, int num, int randomness);
+ int (*add)(const void *buf, int num, double entropy);
int (*pseudorand)(unsigned char *buf, int num);
int (*status)(void);
} RAND_METHOD;
@@ -48,7 +48,7 @@ Each pointer may be NULL if the function is not implemented.
=head1 RETURN VALUES
-RAND_set_rand_method() returns 1 on success and 0 on failue.
+RAND_set_rand_method() returns 1 on success and 0 on failure.
RAND_get_rand_method() and RAND_OpenSSL() return pointers to the respective
methods.
@@ -60,7 +60,7 @@ L<RAND(7)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RSA_blinding_on.pod b/doc/man3/RSA_blinding_on.pod
index 5db127f1..85f4453b 100644
--- a/doc/man3/RSA_blinding_on.pod
+++ b/doc/man3/RSA_blinding_on.pod
@@ -19,7 +19,7 @@ measure the time of RSA decryption or signature operations, blinding
must be used to protect the RSA operation from that attack.
RSA_blinding_on() turns blinding on for key B<rsa> and generates a
-random blinding factor. B<ctx> is B<NULL> or a pre-allocated and
+random blinding factor. B<ctx> is B<NULL> or a preallocated and
initialized B<BN_CTX>.
RSA_blinding_off() turns blinding off and frees the memory used for
@@ -33,7 +33,7 @@ RSA_blinding_off() returns no value.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RSA_get0_key.pod b/doc/man3/RSA_get0_key.pod
index 358c2de2..adcd57c4 100644
--- a/doc/man3/RSA_get0_key.pod
+++ b/doc/man3/RSA_get0_key.pod
@@ -5,7 +5,7 @@
RSA_set0_key, RSA_set0_factors, RSA_set0_crt_params, RSA_get0_key,
RSA_get0_factors, RSA_get0_crt_params,
RSA_get0_n, RSA_get0_e, RSA_get0_d, RSA_get0_p, RSA_get0_q,
-RSA_get0_dmp1, RSA_get0_dmq1, RSA_get0_iqmp,
+RSA_get0_dmp1, RSA_get0_dmq1, RSA_get0_iqmp, RSA_get0_pss_params,
RSA_clear_flags,
RSA_test_flags, RSA_set_flags, RSA_get0_engine, RSA_get_multi_prime_extra_count,
RSA_get0_multi_prime_factors, RSA_get0_multi_prime_crt_params,
@@ -33,6 +33,7 @@ RSA_set0_multi_prime_params, RSA_get_version
const BIGNUM *RSA_get0_dmp1(const RSA *r);
const BIGNUM *RSA_get0_dmq1(const RSA *r);
const BIGNUM *RSA_get0_iqmp(const RSA *r);
+ const RSA_PSS_PARAMS *RSA_get0_pss_params(const RSA *r);
void RSA_clear_flags(RSA *r, int flags);
int RSA_test_flags(const RSA *r, int flags);
void RSA_set_flags(RSA *r, int flags);
@@ -98,6 +99,8 @@ retrieved separately by the corresponding function
RSA_get0_n(), RSA_get0_e(), RSA_get0_d(), RSA_get0_p(), RSA_get0_q(),
RSA_get0_dmp1(), RSA_get0_dmq1(), and RSA_get0_iqmp(), respectively.
+RSA_get0_pss_params() is used to retrieve the RSA-PSS parameters.
+
RSA_set_flags() sets the flags in the B<flags> parameter on the RSA
object. Multiple flags can be passed in one go (bitwise ORed together).
Any flags that are already set are left set. RSA_test_flags() tests to
@@ -157,6 +160,8 @@ L<RSA_new(3)>, L<RSA_size(3)>
=head1 HISTORY
+The RSA_get0_pss_params() function was added in OpenSSL 1.1.1e.
+
The
RSA_get_multi_prime_extra_count(), RSA_get0_multi_prime_factors(),
RSA_get0_multi_prime_crt_params(), RSA_set0_multi_prime_params(),
diff --git a/doc/man3/RSA_private_encrypt.pod b/doc/man3/RSA_private_encrypt.pod
index 060a9000..6629fff3 100644
--- a/doc/man3/RSA_private_encrypt.pod
+++ b/doc/man3/RSA_private_encrypt.pod
@@ -2,7 +2,7 @@
=head1 NAME
-RSA_private_encrypt, RSA_public_decrypt - low level signature operations
+RSA_private_encrypt, RSA_public_decrypt - low-level signature operations
=head1 SYNOPSIS
@@ -16,7 +16,7 @@ RSA_private_encrypt, RSA_public_decrypt - low level signature operations
=head1 DESCRIPTION
-These functions handle RSA signatures at a low level.
+These functions handle RSA signatures at a low-level.
RSA_private_encrypt() signs the B<flen> bytes at B<from> (usually a
message digest with an algorithm identifier) using the private key
@@ -64,7 +64,7 @@ L<RSA_sign(3)>, L<RSA_verify(3)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/RSA_set_method.pod b/doc/man3/RSA_set_method.pod
index 4bb63962..449b841e 100644
--- a/doc/man3/RSA_set_method.pod
+++ b/doc/man3/RSA_set_method.pod
@@ -51,7 +51,7 @@ RSA_set_method() selects B<meth> to perform all operations using the key
B<rsa>. This will replace the RSA_METHOD used by the RSA key and if the
previous method was supplied by an ENGINE, the handle to that ENGINE will
be released during the change. It is possible to have RSA keys that only
-work with certain RSA_METHOD implementations (eg. from an ENGINE module
+work with certain RSA_METHOD implementations (e.g. from an ENGINE module
that supports embedded hardware-protected keys), and in such cases
attempting to change the RSA_METHOD for the key can have unexpected
results.
@@ -176,7 +176,7 @@ was replaced to always return NULL in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SHA256_Init.pod b/doc/man3/SHA256_Init.pod
index 6a8f2fa0..f50839db 100644
--- a/doc/man3/SHA256_Init.pod
+++ b/doc/man3/SHA256_Init.pod
@@ -75,9 +75,6 @@ SHA512_DIGEST_LENGTH). Also note that, as for the SHA1() function above, the
SHA224(), SHA256(), SHA384() and SHA512() functions are not thread safe if
B<md> is NULL.
-The predecessor of SHA-1, SHA, is also implemented, but it should be
-used only when backward compatibility is required.
-
=head1 RETURN VALUES
SHA1(), SHA224(), SHA256(), SHA384() and SHA512() return a pointer to the hash
@@ -98,7 +95,7 @@ L<EVP_DigestInit(3)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CONF_cmd.pod b/doc/man3/SSL_CONF_cmd.pod
index 7f2449e3..900c4f3a 100644
--- a/doc/man3/SSL_CONF_cmd.pod
+++ b/doc/man3/SSL_CONF_cmd.pod
@@ -79,7 +79,7 @@ B<ClientHello>.
The B<value> argument is a colon separated list of groups. The group can be
either the B<NIST> name (e.g. B<P-256>), some other commonly used name where
-applicable (e.g. B<X25519>) or an OpenSSL OID name (e.g B<prime256v1>). Group
+applicable (e.g. B<X25519>) or an OpenSSL OID name (e.g. B<prime256v1>). Group
names are case sensitive. The list should be in order of preference with the
most preferred group first.
@@ -95,7 +95,7 @@ servers
The B<value> argument is a curve name or the special value B<auto> which
picks an appropriate curve based on client and server preferences. The curve
can be either the B<NIST> name (e.g. B<P-256>) or an OpenSSL OID name
-(e.g B<prime256v1>). Curve names are case sensitive.
+(e.g. B<prime256v1>). Curve names are case sensitive.
=item B<-cipher>
@@ -147,13 +147,16 @@ B<SSL_OP_NO_RENEGOTIATION>.
=item B<-min_protocol>, B<-max_protocol>
Sets the minimum and maximum supported protocol.
-Currently supported protocol values are B<SSLv3>, B<TLSv1>,
-B<TLSv1.1>, B<TLSv1.2>, B<TLSv1.3> for TLS and B<DTLSv1>, B<DTLSv1.2> for DTLS,
-and B<None> for no limit.
-If either bound is not specified then only the other bound applies,
-if specified.
-To restrict the supported protocol versions use these commands rather
-than the deprecated alternative commands below.
+Currently supported protocol values are B<SSLv3>, B<TLSv1>, B<TLSv1.1>,
+B<TLSv1.2>, B<TLSv1.3> for TLS; B<DTLSv1>, B<DTLSv1.2> for DTLS, and B<None>
+for no limit.
+If either the lower or upper bound is not specified then only the other bound
+applies, if specified.
+If your application supports both TLS and DTLS you can specify any of these
+options twice, once with a bound for TLS and again with an appropriate bound
+for DTLS.
+To restrict the supported protocol versions use these commands rather than the
+deprecated alternative commands below.
=item B<-no_ssl3>, B<-no_tls1>, B<-no_tls1_1>, B<-no_tls1_2>, B<-no_tls1_3>
@@ -356,7 +359,7 @@ B<ClientHello>.
The B<value> argument is a colon separated list of groups. The group can be
either the B<NIST> name (e.g. B<P-256>), some other commonly used name where
-applicable (e.g. B<X25519>) or an OpenSSL OID name (e.g B<prime256v1>). Group
+applicable (e.g. B<X25519>) or an OpenSSL OID name (e.g. B<prime256v1>). Group
names are case sensitive. The list should be in order of preference with the
most preferred group first.
@@ -370,7 +373,11 @@ This sets the minimum supported SSL, TLS or DTLS version.
Currently supported protocol values are B<SSLv3>, B<TLSv1>, B<TLSv1.1>,
B<TLSv1.2>, B<TLSv1.3>, B<DTLSv1> and B<DTLSv1.2>.
-The value B<None> will disable the limit.
+The SSL and TLS bounds apply only to TLS-based contexts, while the DTLS bounds
+apply only to DTLS-based contexts.
+The command can be repeated with one instance setting a TLS bound, and the
+other setting a DTLS bound.
+The value B<None> applies to both types of contexts and disables the limits.
=item B<MaxProtocol>
@@ -378,7 +385,11 @@ This sets the maximum supported SSL, TLS or DTLS version.
Currently supported protocol values are B<SSLv3>, B<TLSv1>, B<TLSv1.1>,
B<TLSv1.2>, B<TLSv1.3>, B<DTLSv1> and B<DTLSv1.2>.
-The value B<None> will disable the limit.
+The SSL and TLS bounds apply only to TLS-based contexts, while the DTLS bounds
+apply only to DTLS-based contexts.
+The command can be repeated with one instance setting a TLS bound, and the
+other setting a DTLS bound.
+The value B<None> applies to both types of contexts and disables the limits.
=item B<Protocol>
@@ -537,7 +548,7 @@ The value is a string without any specific structure.
=item B<SSL_CONF_TYPE_FILE>
-The value is a file name.
+The value is a filename.
=item B<SSL_CONF_TYPE_DIR>
@@ -683,7 +694,7 @@ B<AllowNoDHEKEX> and B<PrioritizeChaCha> were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2012-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_dane_enable.pod b/doc/man3/SSL_CTX_dane_enable.pod
index 7168bd64..6f9514ae 100644
--- a/doc/man3/SSL_CTX_dane_enable.pod
+++ b/doc/man3/SSL_CTX_dane_enable.pod
@@ -122,7 +122,7 @@ SSL_get0_dane_tlsa() can be used to retrieve the fields of the TLSA record that
matched the peer certificate chain.
The return value indicates the match depth or failure to match just as with
SSL_get0_dane_authority().
-When the return value is non-negative, the storage pointed to by the B<usage>,
+When the return value is nonnegative, the storage pointed to by the B<usage>,
B<selector>, B<mtype> and B<data> parameters is updated to the corresponding
TLSA record fields.
The B<data> field is in binary wire form, and is therefore not NUL-terminated,
@@ -136,7 +136,7 @@ SSL_CTX_dane_set_flags() and SSL_dane_set_flags() can be used to enable
optional DANE verification features.
SSL_CTX_dane_clear_flags() and SSL_dane_clear_flags() can be used to disable
the same features.
-The B<flags> argument is a bitmask of the features to enable or disable.
+The B<flags> argument is a bit mask of the features to enable or disable.
The B<flags> set for an B<SSL_CTX> context are copied to each B<SSL> handle
associated with that context at the time the handle is created.
Subsequent changes in the context's B<flags> have no effect on the B<flags> set
@@ -173,7 +173,7 @@ certificate or a public key that fails to parse.
The functions SSL_get0_dane_authority() and SSL_get0_dane_tlsa() return a
negative value when DANE authentication failed or was not enabled, a
-non-negative value indicates the chain depth at which the TLSA record matched a
+nonnegative value indicates the chain depth at which the TLSA record matched a
chain certificate, or the depth of the top-most certificate, when the TLSA
record is a full public key that is its signer.
@@ -372,7 +372,7 @@ These functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_sess_set_get_cb.pod b/doc/man3/SSL_CTX_sess_set_get_cb.pod
index 774c4b12..d30f84d7 100644
--- a/doc/man3/SSL_CTX_sess_set_get_cb.pod
+++ b/doc/man3/SSL_CTX_sess_set_get_cb.pod
@@ -28,19 +28,19 @@ SSL_CTX_sess_set_new_cb, SSL_CTX_sess_set_remove_cb, SSL_CTX_sess_set_get_cb, SS
=head1 DESCRIPTION
-SSL_CTX_sess_set_new_cb() sets the callback function, which is automatically
+SSL_CTX_sess_set_new_cb() sets the callback function that is
called whenever a new session was negotiated.
-SSL_CTX_sess_set_remove_cb() sets the callback function, which is
-automatically called whenever a session is removed by the SSL engine,
-because it is considered faulty or the session has become obsolete because
-of exceeding the timeout value.
+SSL_CTX_sess_set_remove_cb() sets the callback function that is
+called whenever a session is removed by the SSL engine. For example,
+this can occur because a session is considered faulty or has become obsolete
+because of exceeding the timeout value.
-SSL_CTX_sess_set_get_cb() sets the callback function which is called,
-whenever a SSL/TLS client proposed to resume a session but the session
+SSL_CTX_sess_set_get_cb() sets the callback function that is called
+whenever a TLS client proposed to resume a session but the session
could not be found in the internal session cache (see
L<SSL_CTX_set_session_cache_mode(3)>).
-(SSL/TLS server only.)
+(TLS server only.)
SSL_CTX_sess_get_new_cb(), SSL_CTX_sess_get_remove_cb(), and
SSL_CTX_sess_get_get_cb() retrieve the function pointers set by the
@@ -54,12 +54,19 @@ session cache is realized via callback functions. Inside these callback
functions, session can be saved to disk or put into a database using the
L<d2i_SSL_SESSION(3)> interface.
-The new_session_cb() is called, whenever a new session has been negotiated
-and session caching is enabled (see
-L<SSL_CTX_set_session_cache_mode(3)>).
-The new_session_cb() is passed the B<ssl> connection and the ssl session
-B<sess>. If the callback returns B<0>, the session will be immediately
-removed again. Note that in TLSv1.3, sessions are established after the main
+The new_session_cb() is called whenever a new session has been negotiated and
+session caching is enabled (see L<SSL_CTX_set_session_cache_mode(3)>). The
+new_session_cb() is passed the B<ssl> connection and the nascent
+ssl session B<sess>.
+Since sessions are reference-counted objects, the reference count on the
+session is incremented before the callback, on behalf of the application. If
+the callback returns B<0>, the session will be immediately removed from the
+internal cache and the reference count released. If the callback returns B<1>,
+the application retains the reference (for an entry in the
+application-maintained "external session cache"), and is responsible for
+calling SSL_SESSION_free() when the session reference is no longer in use.
+
+Note that in TLSv1.3, sessions are established after the main
handshake has completed. The server decides when to send the client the session
information and this may occur some time after the end of the handshake (or not
at all). This means that applications should expect the new_session_cb()
@@ -72,21 +79,23 @@ In TLSv1.3 it is recommended that each SSL_SESSION object is only used for
resumption once. One way of enforcing that is for applications to call
L<SSL_CTX_remove_session(3)> after a session has been used.
-The remove_session_cb() is called, whenever the SSL engine removes a session
-from the internal cache. This happens when the session is removed because
+The remove_session_cb() is called whenever the SSL engine removes a session
+from the internal cache. This can happen when the session is removed because
it is expired or when a connection was not shutdown cleanly. It also happens
for all sessions in the internal session cache when
L<SSL_CTX_free(3)> is called. The remove_session_cb() is passed
the B<ctx> and the ssl session B<sess>. It does not provide any feedback.
-The get_session_cb() is only called on SSL/TLS servers with the session id
-proposed by the client. The get_session_cb() is always called, also when
+The get_session_cb() is only called on SSL/TLS servers, and is given
+the session id
+proposed by the client. The get_session_cb() is always called, even when
session caching was disabled. The get_session_cb() is passed the
-B<ssl> connection, the session id of length B<length> at the memory location
-B<data>. With the parameter B<copy> the callback can require the
-SSL engine to increment the reference count of the SSL_SESSION object,
-Normally the reference count is not incremented and therefore the
-session must not be explicitly freed with
+B<ssl> connection and the session id of length B<length> at the memory location
+B<data>. By setting the parameter B<copy> to B<1>, the callback can require the
+SSL engine to increment the reference count of the SSL_SESSION object;
+setting B<copy> to B<0> causes the reference count to remain unchanged.
+If the get_session_cb() does not write to B<copy>, the reference count
+is incremented and the session must be explicitly freed with
L<SSL_SESSION_free(3)>.
=head1 RETURN VALUES
@@ -104,7 +113,7 @@ L<SSL_CTX_free(3)>
=head1 COPYRIGHT
-Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_alpn_select_cb.pod b/doc/man3/SSL_CTX_set_alpn_select_cb.pod
index 56c86097..e90caecd 100644
--- a/doc/man3/SSL_CTX_set_alpn_select_cb.pod
+++ b/doc/man3/SSL_CTX_set_alpn_select_cb.pod
@@ -114,7 +114,7 @@ provided by the callback.
=head1 NOTES
The protocol-lists must be in wire-format, which is defined as a vector of
-non-empty, 8-bit length-prefixed, byte strings. The length-prefix byte is not
+nonempty, 8-bit length-prefixed, byte strings. The length-prefix byte is not
included in the length. Each string is limited to 255 bytes. A byte-string
length of 0 is invalid. A truncated byte-string is invalid. The length of the
vector is not in the vector itself, but in a separate variable.
@@ -187,7 +187,7 @@ L<SSL_CTX_set_tlsext_servername_arg(3)>
=head1 COPYRIGHT
-Copyright 2016-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_generate_session_id.pod b/doc/man3/SSL_CTX_set_generate_session_id.pod
index 1735c627..2ad3bf0f 100644
--- a/doc/man3/SSL_CTX_set_generate_session_id.pod
+++ b/doc/man3/SSL_CTX_set_generate_session_id.pod
@@ -108,8 +108,8 @@ server id given, and will fill the rest with pseudo random bytes:
/*
* Prefix the session_id with the required prefix. NB: If our
* prefix is too long, clip it - but there will be worse effects
- * anyway, eg. the server could only possibly create 1 session
- * ID (ie. the prefix!) so all future session negotiations will
+ * anyway, e.g. the server could only possibly create 1 session
+ * ID (i.e. the prefix!) so all future session negotiations will
* fail due to conflicts.
*/
memcpy(id, session_id_prefix, strlen(session_id_prefix) < *id_len ?
@@ -128,7 +128,7 @@ L<ssl(7)>, L<SSL_get_version(3)>
=head1 COPYRIGHT
-Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_info_callback.pod b/doc/man3/SSL_CTX_set_info_callback.pod
index 01b03f9a..cc032f87 100644
--- a/doc/man3/SSL_CTX_set_info_callback.pod
+++ b/doc/man3/SSL_CTX_set_info_callback.pod
@@ -50,7 +50,7 @@ the callback function was called. If B<ret> is 0, an error condition occurred.
If an alert is handled, SSL_CB_ALERT is set and B<ret> specifies the alert
information.
-B<where> is a bitmask made up of the following bits:
+B<where> is a bit mask made up of the following bits:
=over 4
@@ -64,7 +64,7 @@ per state in some situations.
Callback has been called to indicate exit of a handshake function. This will
happen after the end of a handshake, but may happen at other times too such as
-on error or when IO might otherwise block and non-blocking is being used.
+on error or when IO might otherwise block and nonblocking is being used.
=item SSL_CB_READ
@@ -156,7 +156,7 @@ L<SSL_alert_type_string(3)>
=head1 COPYRIGHT
-Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_max_cert_list.pod b/doc/man3/SSL_CTX_set_max_cert_list.pod
index 01936c58..3996c976 100644
--- a/doc/man3/SSL_CTX_set_max_cert_list.pod
+++ b/doc/man3/SSL_CTX_set_max_cert_list.pod
@@ -39,7 +39,7 @@ received from a faulty or malicious peer, a maximum size for the certificate
chain is set.
The default value for the maximum certificate chain size is 100kB (30kB
-on the 16bit DOS platform). This should be sufficient for usual certificate
+on the 16-bit DOS platform). This should be sufficient for usual certificate
chains (OpenSSL's default maximum chain length is 10, see
L<SSL_CTX_set_verify(3)>, and certificates
without special extensions have a typical size of 1-2kB).
@@ -72,7 +72,7 @@ L<SSL_CTX_set_verify(3)>
=head1 COPYRIGHT
-Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_mode.pod b/doc/man3/SSL_CTX_set_mode.pod
index 387d1ec1..85e3353e 100644
--- a/doc/man3/SSL_CTX_set_mode.pod
+++ b/doc/man3/SSL_CTX_set_mode.pod
@@ -18,13 +18,13 @@ SSL_CTX_set_mode, SSL_CTX_clear_mode, SSL_set_mode, SSL_clear_mode, SSL_CTX_get_
=head1 DESCRIPTION
-SSL_CTX_set_mode() adds the mode set via bitmask in B<mode> to B<ctx>.
+SSL_CTX_set_mode() adds the mode set via bit mask in B<mode> to B<ctx>.
Options already set before are not cleared.
-SSL_CTX_clear_mode() removes the mode set via bitmask in B<mode> from B<ctx>.
+SSL_CTX_clear_mode() removes the mode set via bit mask in B<mode> from B<ctx>.
-SSL_set_mode() adds the mode set via bitmask in B<mode> to B<ssl>.
+SSL_set_mode() adds the mode set via bit mask in B<mode> to B<ssl>.
Options already set before are not cleared.
-SSL_clear_mode() removes the mode set via bitmask in B<mode> from B<ssl>.
+SSL_clear_mode() removes the mode set via bit mask in B<mode> from B<ssl>.
SSL_CTX_get_mode() returns the mode set for B<ctx>.
@@ -50,8 +50,8 @@ the behaviour of write().
Make it possible to retry SSL_write_ex() or SSL_write() with changed buffer
location (the buffer contents must stay the same). This is not the default to
-avoid the misconception that non-blocking SSL_write() behaves like
-non-blocking write().
+avoid the misconception that nonblocking SSL_write() behaves like
+nonblocking write().
=item SSL_MODE_AUTO_RETRY
@@ -64,9 +64,9 @@ If such a non-application data record was processed, the flag
B<SSL_MODE_AUTO_RETRY> causes it to try to process the next record instead of
returning.
-In a non-blocking environment applications must be prepared to handle
+In a nonblocking environment applications must be prepared to handle
incomplete read/write operations.
-Setting B<SSL_MODE_AUTO_RETRY> for a non-blocking B<BIO> will process
+Setting B<SSL_MODE_AUTO_RETRY> for a nonblocking B<BIO> will process
non-application data records until either no more data is available or
an application data record has been processed.
@@ -121,10 +121,10 @@ default since 1.1.1.
=head1 RETURN VALUES
-SSL_CTX_set_mode() and SSL_set_mode() return the new mode bitmask
+SSL_CTX_set_mode() and SSL_set_mode() return the new mode bit mask
after adding B<mode>.
-SSL_CTX_get_mode() and SSL_get_mode() return the current bitmask.
+SSL_CTX_get_mode() and SSL_get_mode() return the current bit mask.
=head1 SEE ALSO
@@ -137,7 +137,7 @@ SSL_MODE_ASYNC was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_options.pod b/doc/man3/SSL_CTX_set_options.pod
index 2d840b62..969e0366 100644
--- a/doc/man3/SSL_CTX_set_options.pod
+++ b/doc/man3/SSL_CTX_set_options.pod
@@ -23,16 +23,16 @@ SSL_get_secure_renegotiation_support - manipulate SSL options
=head1 DESCRIPTION
-SSL_CTX_set_options() adds the options set via bitmask in B<options> to B<ctx>.
+SSL_CTX_set_options() adds the options set via bit mask in B<options> to B<ctx>.
Options already set before are not cleared!
-SSL_set_options() adds the options set via bitmask in B<options> to B<ssl>.
+SSL_set_options() adds the options set via bit mask in B<options> to B<ssl>.
Options already set before are not cleared!
-SSL_CTX_clear_options() clears the options set via bitmask in B<options>
+SSL_CTX_clear_options() clears the options set via bit mask in B<options>
to B<ctx>.
-SSL_clear_options() clears the options set via bitmask in B<options> to B<ssl>.
+SSL_clear_options() clears the options set via bit mask in B<options> to B<ssl>.
SSL_CTX_get_options() returns the options set for B<ctx>.
@@ -45,7 +45,7 @@ Note, this is implemented via a macro.
=head1 NOTES
The behaviour of the SSL library can be changed by setting several options.
-The options are coded as bitmasks and can be combined by a bitwise B<or>
+The options are coded as bit masks and can be combined by a bitwise B<or>
operation (|).
SSL_CTX_set_options() and SSL_set_options() affect the (external)
@@ -161,7 +161,7 @@ the session. In this way the server can operate statelessly - no session
information needs to be cached locally.
The TLSv1.3 protocol only supports tickets and does not directly support session
-ids. However OpenSSL allows two modes of ticket operation in TLSv1.3: stateful
+ids. However, OpenSSL allows two modes of ticket operation in TLSv1.3: stateful
and stateless. Stateless tickets work the same way as in TLSv1.2 and below.
Stateful tickets mimic the session id behaviour available in TLSv1.2 and below.
The session information is cached on the server and the session id is wrapped up
@@ -340,13 +340,13 @@ and renegotiation between OpenSSL and unpatched clients or servers.
=head1 RETURN VALUES
-SSL_CTX_set_options() and SSL_set_options() return the new options bitmask
+SSL_CTX_set_options() and SSL_set_options() return the new options bit mask
after adding B<options>.
-SSL_CTX_clear_options() and SSL_clear_options() return the new options bitmask
+SSL_CTX_clear_options() and SSL_clear_options() return the new options bit mask
after clearing B<options>.
-SSL_CTX_get_options() and SSL_get_options() return the current bitmask.
+SSL_CTX_get_options() and SSL_get_options() return the current bit mask.
SSL_get_secure_renegotiation_support() returns 1 is the peer supports
secure renegotiation and 0 if it does not.
@@ -368,7 +368,7 @@ were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_psk_client_callback.pod b/doc/man3/SSL_CTX_set_psk_client_callback.pod
index eb4e4f5f..0273ccb9 100644
--- a/doc/man3/SSL_CTX_set_psk_client_callback.pod
+++ b/doc/man3/SSL_CTX_set_psk_client_callback.pod
@@ -123,7 +123,9 @@ and it will use that in preference. If no such callback is present then it will
check to see if a callback has been set via SSL_CTX_set_psk_client_callback() or
SSL_set_psk_client_callback() and use that. In this case the B<hint> value will
always be NULL and the handshake digest will default to SHA-256 for any returned
-PSK.
+PSK. TLSv1.3 early data exchanges are possible in PSK connections only with the
+B<SSL_psk_use_session_cb_func> callback, and are not possible with the
+B<SSL_psk_client_cb_func> callback.
=head1 NOTES
@@ -133,7 +135,7 @@ A connection established via a TLSv1.3 PSK will appear as if session resumption
has occurred so that L<SSL_session_reused(3)> will return true.
There are no known security issues with sharing the same PSK between TLSv1.2 (or
-below) and TLSv1.3. However the RFC has this note of caution:
+below) and TLSv1.3. However, the RFC has this note of caution:
"While there is no known way in which the same PSK might produce related output
in both versions, only limited analysis has been done. Implementations can
@@ -166,7 +168,7 @@ were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_read_ahead.pod b/doc/man3/SSL_CTX_set_read_ahead.pod
index ff037d93..6d1e8bd5 100644
--- a/doc/man3/SSL_CTX_set_read_ahead.pod
+++ b/doc/man3/SSL_CTX_set_read_ahead.pod
@@ -21,7 +21,7 @@ SSL_CTX_get_default_read_ahead
=head1 DESCRIPTION
SSL_CTX_set_read_ahead() and SSL_set_read_ahead() set whether we should read as
-many input bytes as possible (for non-blocking reads) or not. For example if
+many input bytes as possible (for nonblocking reads) or not. For example if
B<x> bytes are currently required by OpenSSL, but B<y> bytes are available from
the underlying BIO (where B<y> > B<x>), then OpenSSL will read all B<y> bytes
into its buffer (providing that the buffer is large enough) if reading ahead is
@@ -64,7 +64,7 @@ L<ssl(7)>, L<SSL_pending(3)>
=head1 COPYRIGHT
-Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_security_level.pod b/doc/man3/SSL_CTX_set_security_level.pod
index 0cb6c1f5..f85959e7 100644
--- a/doc/man3/SSL_CTX_set_security_level.pod
+++ b/doc/man3/SSL_CTX_set_security_level.pod
@@ -114,12 +114,6 @@ I<Documentation to be provided.>
=head1 NOTES
-B<WARNING> at this time setting the security level higher than 1 for
-general internet use is likely to cause B<considerable> interoperability
-issues and is not recommended. This is because the B<SHA1> algorithm
-is very widely used in certificates and will be rejected at levels
-higher than 1 because it only offers 80 bits of security.
-
The default security level can be configured when OpenSSL is compiled by
setting B<-DOPENSSL_TLS_SECURITY_LEVEL=level>. If not set then 1 is used.
@@ -180,7 +174,7 @@ These functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_session_cache_mode.pod b/doc/man3/SSL_CTX_set_session_cache_mode.pod
index 18c9783f..38603f25 100644
--- a/doc/man3/SSL_CTX_set_session_cache_mode.pod
+++ b/doc/man3/SSL_CTX_set_session_cache_mode.pod
@@ -96,7 +96,7 @@ session caching (callback) that is configured for the SSL_CTX. This flag will
prevent sessions being stored in the internal cache (though the application can
add them manually using L<SSL_CTX_add_session(3)>). Note:
in any SSL/TLS servers where external caching is configured, any successful
-session lookups in the external cache (ie. for session-resume requests) would
+session lookups in the external cache (i.e. for session-resume requests) would
normally be copied into the local cache before processing continues - this flag
prevents these additions to the internal cache as well.
@@ -131,7 +131,7 @@ L<SSL_CTX_flush_sessions(3)>
=head1 COPYRIGHT
-Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_session_id_context.pod b/doc/man3/SSL_CTX_set_session_id_context.pod
index 4036d3c7..ccd37ba6 100644
--- a/doc/man3/SSL_CTX_set_session_id_context.pod
+++ b/doc/man3/SSL_CTX_set_session_id_context.pod
@@ -26,7 +26,7 @@ B<sid_ctx_len> within which a session can be reused for the B<ssl> object.
Sessions are generated within a certain context. When exporting/importing
sessions with B<i2d_SSL_SESSION>/B<d2i_SSL_SESSION> it would be possible,
to re-import a session generated from another context (e.g. another
-application), which might lead to malfunctions. Therefore each application
+application), which might lead to malfunctions. Therefore, each application
must set its own session id context B<sid_ctx> which is used to distinguish
the contexts and is stored in exported sessions. The B<sid_ctx> can be
any kind of binary data with a given length, it is therefore possible
@@ -82,7 +82,7 @@ L<ssl(7)>
=head1 COPYRIGHT
-Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_session_ticket_cb.pod b/doc/man3/SSL_CTX_set_session_ticket_cb.pod
index f3dfb62c..aa520f4a 100644
--- a/doc/man3/SSL_CTX_set_session_ticket_cb.pod
+++ b/doc/man3/SSL_CTX_set_session_ticket_cb.pod
@@ -107,7 +107,7 @@ The return value can be any of these values:
The handshake should be aborted, either because of an error or because of some
policy. Note that in TLSv1.3 a client may send more than one ticket in a single
-handshake. Therefore just because one ticket is unacceptable it does not mean
+handshake. Therefore, just because one ticket is unacceptable it does not mean
that all of them are. For this reason this option should be used with caution.
=item SSL_TICKET_RETURN_IGNORE
@@ -177,12 +177,12 @@ L<SSL_get_session(3)>
=head1 HISTORY
-The SSL_CTX_set_session_ticket_cb(), SSSL_SESSION_set1_ticket_appdata()
+The SSL_CTX_set_session_ticket_cb(), SSL_SESSION_set1_ticket_appdata()
and SSL_SESSION_get_ticket_appdata() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_split_send_fragment.pod b/doc/man3/SSL_CTX_set_split_send_fragment.pod
index d63ca415..d8fd3f53 100644
--- a/doc/man3/SSL_CTX_set_split_send_fragment.pod
+++ b/doc/man3/SSL_CTX_set_split_send_fragment.pod
@@ -41,7 +41,7 @@ capability is known as "pipelining" within OpenSSL.
In order to benefit from the pipelining capability. You need to have an engine
that provides ciphers that support this. The OpenSSL "dasync" engine provides
-AES128-SHA based ciphers that have this capability. However these are for
+AES128-SHA based ciphers that have this capability. However, these are for
development and test purposes only.
SSL_CTX_set_max_send_fragment() and SSL_set_max_send_fragment() set the
@@ -178,7 +178,7 @@ and SSL_SESSION_get_max_fragment_length() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_stateless_cookie_generate_cb.pod b/doc/man3/SSL_CTX_set_stateless_cookie_generate_cb.pod
index f29153ed..aa167f63 100644
--- a/doc/man3/SSL_CTX_set_stateless_cookie_generate_cb.pod
+++ b/doc/man3/SSL_CTX_set_stateless_cookie_generate_cb.pod
@@ -3,7 +3,9 @@
=head1 NAME
SSL_CTX_set_stateless_cookie_generate_cb,
-SSL_CTX_set_stateless_cookie_verify_cb
+SSL_CTX_set_stateless_cookie_verify_cb,
+SSL_CTX_set_cookie_generate_cb,
+SSL_CTX_set_cookie_verify_cb
- Callback functions for stateless TLS1.3 cookies
=head1 SYNOPSIS
@@ -21,22 +23,51 @@ SSL_CTX_set_stateless_cookie_verify_cb
const unsigned char *cookie,
size_t cookie_len));
+ void SSL_CTX_set_cookie_generate_cb(SSL_CTX *ctx,
+ int (*app_gen_cookie_cb) (SSL *ssl,
+ unsigned char
+ *cookie,
+ unsigned int
+ *cookie_len));
+ void SSL_CTX_set_cookie_verify_cb(SSL_CTX *ctx,
+ int (*app_verify_cookie_cb) (SSL *ssl,
+ const unsigned
+ char *cookie,
+ unsigned int
+ cookie_len));
+
=head1 DESCRIPTION
-SSL_CTX_set_cookie_generate_cb() sets the callback used by L<SSL_stateless(3)>
-to generate the application-controlled portion of the cookie provided to clients
-in the HelloRetryRequest transmitted as a response to a ClientHello with a
-missing or invalid cookie. gen_stateless_cookie_cb() must write at most
-SSL_COOKIE_LENGTH bytes into B<cookie>, and must write the number of bytes
-written to B<cookie_len>. If a cookie cannot be generated, a zero return value
-can be used to abort the handshake.
-
-SSL_CTX_set_cookie_verify_cb() sets the callback used by L<SSL_stateless(3)> to
-determine whether the application-controlled portion of a ClientHello cookie is
-valid. A nonzero return value from app_verify_cookie_cb() communicates that the
-cookie is valid. The integrity of the entire cookie, including the
-application-controlled portion, is automatically verified by HMAC before
-verify_stateless_cookie_cb() is called.
+SSL_CTX_set_stateless_cookie_generate_cb() sets the callback used by
+L<SSL_stateless(3)> to generate the application-controlled portion of the cookie
+provided to clients in the HelloRetryRequest transmitted as a response to a
+ClientHello with a missing or invalid cookie. gen_stateless_cookie_cb() must
+write at most SSL_COOKIE_LENGTH bytes into B<cookie>, and must write the number
+of bytes written to B<cookie_len>. If a cookie cannot be generated, a zero
+return value can be used to abort the handshake.
+
+SSL_CTX_set_stateless_cookie_verify_cb() sets the callback used by
+L<SSL_stateless(3)> to determine whether the application-controlled portion of a
+ClientHello cookie is valid. The cookie data is pointed to by B<cookie> and is of
+length B<cookie_len>. A nonzero return value from verify_stateless_cookie_cb()
+communicates that the cookie is valid. The integrity of the entire cookie,
+including the application-controlled portion, is automatically verified by HMAC
+before verify_stateless_cookie_cb() is called.
+
+SSL_CTX_set_cookie_generate_cb() sets the callback used by L<DTLSv1_listen(3)>
+to generate the cookie provided to clients in the HelloVerifyRequest transmitted
+as a response to a ClientHello with a missing or invalid cookie.
+app_gen_cookie_cb() must write at most DTLS1_COOKIE_LENGTH bytes into
+B<cookie>, and must write the number of bytes written to B<cookie_len>. If a
+cookie cannot be generated, a zero return value can be used to abort the
+handshake.
+
+SSL_CTX_set_cookie_verify_cb() sets the callback used by L<DTLSv1_listen(3)> to
+determine whether the cookie in a ClientHello is valid. The cookie data is
+pointed to by B<cookie> and is of length B<cookie_len>. A nonzero return value
+from app_verify_cookie_cb() communicates that the cookie is valid. The
+integrity of the cookie is not verified by OpenSSL. This is an application
+responsibility.
=head1 RETURN VALUES
@@ -44,7 +75,13 @@ Neither function returns a value.
=head1 SEE ALSO
-L<SSL_stateless(3)>
+L<SSL_stateless(3)>,
+L<DTLSv1_listen(3)>
+
+=head1 HISTORY
+
+SSL_CTX_set_stateless_cookie_generate_cb() and
+SSL_CTX_set_stateless_cookie_verify_cb() were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
diff --git a/doc/man3/SSL_CTX_set_tlsext_servername_callback.pod b/doc/man3/SSL_CTX_set_tlsext_servername_callback.pod
index b1fb5ab7..0c21cfdb 100644
--- a/doc/man3/SSL_CTX_set_tlsext_servername_callback.pod
+++ b/doc/man3/SSL_CTX_set_tlsext_servername_callback.pod
@@ -11,7 +11,7 @@ SSL_set_tlsext_host_name - handle server name indication (SNI)
#include <openssl/ssl.h>
long SSL_CTX_set_tlsext_servername_callback(SSL_CTX *ctx,
- int (*cb)(SSL *, int *, void *));
+ int (*cb)(SSL *s, int *al, void *arg));
long SSL_CTX_set_tlsext_servername_arg(SSL_CTX *ctx, void *arg);
const char *SSL_get_servername(const SSL *s, const int type);
@@ -21,21 +21,106 @@ SSL_set_tlsext_host_name - handle server name indication (SNI)
=head1 DESCRIPTION
-The functionality provided by the servername callback is superseded by the
-ClientHello callback, which can be set using SSL_CTX_set_client_hello_cb().
-The servername callback is retained for historical compatibility.
+The functionality provided by the servername callback is mostly superseded by
+the ClientHello callback, which can be set using SSL_CTX_set_client_hello_cb().
+However, even where the ClientHello callback is used, the servername callback is
+still necessary in order to acknowledge the servername requested by the client.
SSL_CTX_set_tlsext_servername_callback() sets the application callback B<cb>
used by a server to perform any actions or configuration required based on
the servername extension received in the incoming connection. When B<cb>
-is NULL, SNI is not used. The B<arg> value is a pointer which is passed to
-the application callback.
+is NULL, SNI is not used.
+
+The servername callback should return one of the following values:
+
+=over 4
+
+=item SSL_TLSEXT_ERR_OK
+
+This is used to indicate that the servername requested by the client has been
+accepted. Typically a server will call SSL_set_SSL_CTX() in the callback to set
+up a different configuration for the selected servername in this case.
+
+=item SSL_TLSEXT_ERR_ALERT_FATAL
+
+In this case the servername requested by the client is not accepted and the
+handshake will be aborted. The value of the alert to be used should be stored in
+the location pointed to by the B<al> parameter to the callback. By default this
+value is initialised to SSL_AD_UNRECOGNIZED_NAME.
+
+=item SSL_TLSEXT_ERR_ALERT_WARNING
+
+If this value is returned then the servername is not accepted by the server.
+However, the handshake will continue and send a warning alert instead. The value
+of the alert should be stored in the location pointed to by the B<al> parameter
+as for SSL_TLSEXT_ERR_ALERT_FATAL above. Note that TLSv1.3 does not support
+warning alerts, so if TLSv1.3 has been negotiated then this return value is
+treated the same way as SSL_TLSEXT_ERR_NOACK.
+
+=item SSL_TLSEXT_ERR_NOACK
+
+This return value indicates that the servername is not accepted by the server.
+No alerts are sent and the server will not acknowledge the requested servername.
+
+=back
SSL_CTX_set_tlsext_servername_arg() sets a context-specific argument to be
-passed into the callback for this B<SSL_CTX>.
+passed into the callback (via the B<arg> parameter) for this B<SSL_CTX>.
+
+The behaviour of SSL_get_servername() depends on a number of different factors.
+In particular note that in TLSv1.3 the servername is negotiated in every
+handshake. In TLSv1.2 the servername is only negotiated on initial handshakes
+and not on resumption handshakes.
+
+=over 4
+
+=item On the client, before the handshake
+
+If a servername has been set via a call to SSL_set_tlsext_host_name() then it
+will return that servername.
+
+If one has not been set, but a TLSv1.2 resumption is being attempted and the
+session from the original handshake had a servername accepted by the server then
+it will return that servername.
+
+Otherwise it returns NULL.
-SSL_get_servername() returns a servername extension value of the specified
-type if provided in the Client Hello or NULL.
+=item On the client, during or after the handshake and a TLSv1.2 (or below)
+resumption occurred
+
+If the session from the original handshake had a servername accepted by the
+server then it will return that servername.
+
+Otherwise it returns the servername set via SSL_set_tlsext_host_name() or NULL
+if it was not called.
+
+=item On the client, during or after the handshake and a TLSv1.2 (or below)
+resumption did not occur
+
+It will return the servername set via SSL_set_tlsext_host_name() or NULL if it
+was not called.
+
+=item On the server, before the handshake
+
+The function will always return NULL before the handshake
+
+=item On the server, after the servername extension has been processed and a
+TLSv1.2 (or below) resumption occurred
+
+If a servername was accepted by the server in the original handshake then it
+will return that servername, or NULL otherwise.
+
+=item On the server, after the servername extension has been processed and a
+TLSv1.2 (or below) resumption did not occur
+
+The function will return the servername requested by the client in this
+handshake or NULL if none was requested.
+
+=back
+
+Note that the ClientHello callback occurs before a servername extension from the
+client is processed. The servername, certificate and ALPN callbacks occur after
+a servername extension from the client is processed.
SSL_get_servername_type() returns the servername type or -1 if no servername
is present. Currently the only supported type (defined in RFC3546) is
@@ -65,9 +150,26 @@ SSL_set_tlsext_host_name() returns 1 on success, 0 in case of error.
L<ssl(7)>, L<SSL_CTX_set_alpn_select_cb(3)>,
L<SSL_get0_alpn_selected(3)>, L<SSL_CTX_set_client_hello_cb(3)>
+=head1 HISTORY
+
+SSL_get_servername() historically provided some unexpected results in certain
+corner cases. This has been fixed from OpenSSL 1.1.1e.
+
+Prior to 1.1.1e, when the client requested a servername in an initial TLSv1.2
+handshake, the server accepted it, and then the client successfully resumed but
+set a different explicit servername in the second handshake then when called by
+the client it returned the servername from the second handshake. This has now
+been changed to return the servername requested in the original handshake.
+
+Also prior to 1.1.1e, if the client sent a servername in the first handshake but
+the server did not accept it, and then a second handshake occurred where TLSv1.2
+resumption was successful then when called by the server it returned the
+servername requested in the original handshake. This has now been changed to
+NULL.
+
=head1 COPYRIGHT
-Copyright 2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod b/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod
index 43bddc51..b2637efc 100644
--- a/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod
+++ b/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod
@@ -136,6 +136,8 @@ Reference Implementation:
unsigned char *iv, EVP_CIPHER_CTX *ctx,
HMAC_CTX *hctx, int enc)
{
+ your_type_t *key; /* something that you need to implement */
+
if (enc) { /* create new session */
if (RAND_bytes(iv, EVP_MAX_IV_LENGTH) <= 0)
return -1; /* insufficient random */
@@ -154,21 +156,22 @@ Reference Implementation:
}
memcpy(key_name, key->name, 16);
- EVP_EncryptInit_ex(&ctx, EVP_aes_128_cbc(), NULL, key->aes_key, iv);
- HMAC_Init_ex(&hctx, key->hmac_key, 16, EVP_sha256(), NULL);
+ EVP_EncryptInit_ex(&ctx, EVP_aes_256_cbc(), NULL, key->aes_key, iv);
+ HMAC_Init_ex(&hctx, key->hmac_key, 32, EVP_sha256(), NULL);
return 1;
} else { /* retrieve session */
- key = findkey(name);
+ time_t t = time(NULL);
+ key = findkey(key_name); /* something that you need to implement */
- if (key == NULL || key->expire < now())
+ if (key == NULL || key->expire < t)
return 0;
- HMAC_Init_ex(&hctx, key->hmac_key, 16, EVP_sha256(), NULL);
- EVP_DecryptInit_ex(&ctx, EVP_aes_128_cbc(), NULL, key->aes_key, iv);
+ HMAC_Init_ex(&hctx, key->hmac_key, 32, EVP_sha256(), NULL);
+ EVP_DecryptInit_ex(&ctx, EVP_aes_256_cbc(), NULL, key->aes_key, iv);
- if (key->expire < now() - RENEW_TIME) {
+ if (key->expire < t - RENEW_TIME) { /* RENEW_TIME: implement */
/*
* return 2 - This session will get a new ticket even though the
* current one is still valid.
@@ -190,7 +193,7 @@ L<SSL_CTX_set_session_id_context(3)>,
=head1 COPYRIGHT
-Copyright 2014-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_use_psk_identity_hint.pod b/doc/man3/SSL_CTX_use_psk_identity_hint.pod
index c8f75266..b39fc091 100644
--- a/doc/man3/SSL_CTX_use_psk_identity_hint.pod
+++ b/doc/man3/SSL_CTX_use_psk_identity_hint.pod
@@ -39,9 +39,9 @@ SSL_set_psk_find_session_callback
=head1 DESCRIPTION
-A client application wishing to use TLSv1.3 PSKs should set a callback
-using either SSL_CTX_set_psk_use_session_callback() or
-SSL_set_psk_use_session_callback() as appropriate.
+A server application wishing to use TLSv1.3 PSKs should set a callback
+using either SSL_CTX_set_psk_find_session_callback() or
+SSL_set_psk_find_session_callback() as appropriate.
The callback function is given a pointer to the SSL connection in B<ssl> and
an identity in B<identity> of length B<identity_len>. The callback function
@@ -83,7 +83,9 @@ via SSL_CTX_set_psk_find_session_callback() or SSL_set_psk_find_session_callback
and it will use that in preference. If no such callback is present then it will
check to see if a callback has been set via SSL_CTX_set_psk_server_callback() or
SSL_set_psk_server_callback() and use that. In this case the handshake digest
-will default to SHA-256 for any returned PSK.
+will default to SHA-256 for any returned PSK. TLSv1.3 early data exchanges are
+possible in PSK connections only with the B<SSL_psk_find_session_cb_func>
+callback, and are not possible with the B<SSL_psk_server_cb_func> callback.
=head1 NOTES
@@ -126,7 +128,7 @@ failure. In the event of failure the connection setup fails.
=head1 NOTES
There are no known security issues with sharing the same PSK between TLSv1.2 (or
-below) and TLSv1.3. However the RFC has this note of caution:
+below) and TLSv1.3. However, the RFC has this note of caution:
"While there is no known way in which the same PSK might produce related output
in both versions, only limited analysis has been done. Implementations can
@@ -145,7 +147,7 @@ were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_SESSION_get0_hostname.pod b/doc/man3/SSL_SESSION_get0_hostname.pod
index 475f700a..6e39cbc6 100644
--- a/doc/man3/SSL_SESSION_get0_hostname.pod
+++ b/doc/man3/SSL_SESSION_get0_hostname.pod
@@ -24,7 +24,10 @@ SSL_SESSION_set1_alpn_selected
=head1 DESCRIPTION
SSL_SESSION_get0_hostname() retrieves the SNI value that was sent by the
-client when the session was created, or NULL if no value was sent.
+client when the session was created if it was accepted by the server and TLSv1.2
+or below was negotiated. Otherwise NULL is returned. Note that in TLSv1.3 the
+SNI hostname is negotiated with each handshake including resumption handshakes
+and is therefore never associated with the session.
The value returned is a pointer to memory maintained within B<s> and
should not be free'd.
@@ -64,7 +67,7 @@ SSL_SESSION_set1_alpn_selected() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_accept.pod b/doc/man3/SSL_accept.pod
index 335655f0..81c9dbea 100644
--- a/doc/man3/SSL_accept.pod
+++ b/doc/man3/SSL_accept.pod
@@ -23,14 +23,14 @@ The behaviour of SSL_accept() depends on the underlying BIO.
If the underlying BIO is B<blocking>, SSL_accept() will only return once the
handshake has been finished or an error occurred.
-If the underlying BIO is B<non-blocking>, SSL_accept() will also return
+If the underlying BIO is B<nonblocking>, SSL_accept() will also return
when the underlying BIO could not satisfy the needs of SSL_accept()
to continue the handshake, indicating the problem by the return value -1.
In this case a call to SSL_get_error() with the
return value of SSL_accept() will yield B<SSL_ERROR_WANT_READ> or
B<SSL_ERROR_WANT_WRITE>. The calling process then must repeat the call after
taking appropriate action to satisfy the needs of SSL_accept().
-The action depends on the underlying BIO. When using a non-blocking socket,
+The action depends on the underlying BIO. When using a nonblocking socket,
nothing is to be done, but select() can be used to check for the required
condition. When using a buffering BIO, like a BIO pair, data must be written
into or retrieved out of the BIO before being able to continue.
@@ -56,8 +56,8 @@ established.
The TLS/SSL handshake was not successful because a fatal error occurred either
at the protocol level or a connection failure occurred. The shutdown was
-not clean. It can also occur of action is need to continue the operation
-for non-blocking BIOs. Call SSL_get_error() with the return value B<ret>
+not clean. It can also occur if action is needed to continue the operation
+for nonblocking BIOs. Call SSL_get_error() with the return value B<ret>
to find out the reason.
=back
@@ -72,7 +72,7 @@ L<SSL_CTX_new(3)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_alloc_buffers.pod b/doc/man3/SSL_alloc_buffers.pod
index 94bd0584..ac3bd814 100644
--- a/doc/man3/SSL_alloc_buffers.pod
+++ b/doc/man3/SSL_alloc_buffers.pod
@@ -22,7 +22,7 @@ control when buffers are freed and allocated.
After freeing the buffers, the buffers are automatically reallocated upon a
new read or write. The SSL_alloc_buffers() does not need to be called, but
-can be used to make sure the buffers are pre-allocated. This can be used to
+can be used to make sure the buffers are preallocated. This can be used to
avoid allocation during data processing or with CRYPTO_set_mem_functions()
to control where and how buffers are allocated.
@@ -57,7 +57,7 @@ L<CRYPTO_set_mem_functions>
=head1 COPYRIGHT
-Copyright 2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_connect.pod b/doc/man3/SSL_connect.pod
index 426b8ad7..0e6b6253 100644
--- a/doc/man3/SSL_connect.pod
+++ b/doc/man3/SSL_connect.pod
@@ -23,14 +23,14 @@ The behaviour of SSL_connect() depends on the underlying BIO.
If the underlying BIO is B<blocking>, SSL_connect() will only return once the
handshake has been finished or an error occurred.
-If the underlying BIO is B<non-blocking>, SSL_connect() will also return
+If the underlying BIO is B<nonblocking>, SSL_connect() will also return
when the underlying BIO could not satisfy the needs of SSL_connect()
to continue the handshake, indicating the problem by the return value -1.
In this case a call to SSL_get_error() with the
return value of SSL_connect() will yield B<SSL_ERROR_WANT_READ> or
B<SSL_ERROR_WANT_WRITE>. The calling process then must repeat the call after
taking appropriate action to satisfy the needs of SSL_connect().
-The action depends on the underlying BIO. When using a non-blocking socket,
+The action depends on the underlying BIO. When using a nonblocking socket,
nothing is to be done, but select() can be used to check for the required
condition. When using a buffering BIO, like a BIO pair, data must be written
into or retrieved out of the BIO before being able to continue.
@@ -71,8 +71,8 @@ established.
The TLS/SSL handshake was not successful, because a fatal error occurred either
at the protocol level or a connection failure occurred. The shutdown was
-not clean. It can also occur of action is need to continue the operation
-for non-blocking BIOs. Call SSL_get_error() with the return value B<ret>
+not clean. It can also occur if action is needed to continue the operation
+for nonblocking BIOs. Call SSL_get_error() with the return value B<ret>
to find out the reason.
=back
@@ -87,7 +87,7 @@ L<SSL_CTX_new(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_do_handshake.pod b/doc/man3/SSL_do_handshake.pod
index a1b973f7..fa133d76 100644
--- a/doc/man3/SSL_do_handshake.pod
+++ b/doc/man3/SSL_do_handshake.pod
@@ -25,13 +25,13 @@ The behaviour of SSL_do_handshake() depends on the underlying BIO.
If the underlying BIO is B<blocking>, SSL_do_handshake() will only return
once the handshake has been finished or an error occurred.
-If the underlying BIO is B<non-blocking>, SSL_do_handshake() will also return
+If the underlying BIO is B<nonblocking>, SSL_do_handshake() will also return
when the underlying BIO could not satisfy the needs of SSL_do_handshake()
to continue the handshake. In this case a call to SSL_get_error() with the
return value of SSL_do_handshake() will yield B<SSL_ERROR_WANT_READ> or
B<SSL_ERROR_WANT_WRITE>. The calling process then must repeat the call after
taking appropriate action to satisfy the needs of SSL_do_handshake().
-The action depends on the underlying BIO. When using a non-blocking socket,
+The action depends on the underlying BIO. When using a nonblocking socket,
nothing is to be done, but select() can be used to check for the required
condition. When using a buffering BIO, like a BIO pair, data must be written
into or retrieved out of the BIO before being able to continue.
@@ -57,8 +57,8 @@ established.
The TLS/SSL handshake was not successful because a fatal error occurred either
at the protocol level or a connection failure occurred. The shutdown was
-not clean. It can also occur of action is need to continue the operation
-for non-blocking BIOs. Call SSL_get_error() with the return value B<ret>
+not clean. It can also occur if action is needed to continue the operation
+for nonblocking BIOs. Call SSL_get_error() with the return value B<ret>
to find out the reason.
=back
@@ -71,7 +71,7 @@ L<SSL_set_connect_state(3)>
=head1 COPYRIGHT
-Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_get_all_async_fds.pod b/doc/man3/SSL_get_all_async_fds.pod
index 5b17f091..6fa6ed4a 100644
--- a/doc/man3/SSL_get_all_async_fds.pod
+++ b/doc/man3/SSL_get_all_async_fds.pod
@@ -32,7 +32,7 @@ appearing as "read ready" on the file descriptor (no actual data should be read
from the file descriptor). This function should only be called if the SSL object
is currently waiting for asynchronous work to complete (i.e.
SSL_ERROR_WANT_ASYNC has been received - see L<SSL_get_error(3)>). Typically the
-list will only contain one file descriptor. However if multiple asynchronous
+list will only contain one file descriptor. However, if multiple asynchronous
capable engines are in use then more than one is possible. The number of file
descriptors returned is stored in B<*numfds> and the file descriptors themselves
are in B<*fds>. The B<fds> parameter may be NULL in which case no file
@@ -63,7 +63,7 @@ SSL_get_all_async_fds() and SSL_get_changed_async_fds() return 1 on success or
On Windows platforms the openssl/async.h header is dependent on some
of the types customarily made available by including windows.h. The
application developer is likely to require control over when the latter
-is included, commonly as one of the first included headers. Therefore
+is included, commonly as one of the first included headers. Therefore,
it is defined as an application developer's responsibility to include
windows.h prior to async.h.
@@ -78,7 +78,7 @@ and SSL_get_changed_async_fds() functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_get_error.pod b/doc/man3/SSL_get_error.pod
index 97320a6c..e6a1e8b6 100644
--- a/doc/man3/SSL_get_error.pod
+++ b/doc/man3/SSL_get_error.pod
@@ -49,7 +49,7 @@ indicate that the underlying transport has been closed.
The operation did not complete and can be retried later.
B<SSL_ERROR_WANT_READ> is returned when the last operation was a read
-operation from a non-blocking B<BIO>.
+operation from a nonblocking B<BIO>.
It means that not enough data was available at this time to complete the
operation.
If at a later time the underlying B<BIO> has data available for reading the same
@@ -61,8 +61,8 @@ for a blocking B<BIO>.
See L<SSL_read(3)> for more information.
B<SSL_ERROR_WANT_WRITE> is returned when the last operation was a write
-to a non-blocking B<BIO> and it was unable to sent all data to the B<BIO>.
-When the B<BIO> is writeable again, the same function can be called again.
+to a nonblocking B<BIO> and it was unable to sent all data to the B<BIO>.
+When the B<BIO> is writable again, the same function can be called again.
Note that the retry may again lead to an B<SSL_ERROR_WANT_READ> or
B<SSL_ERROR_WANT_WRITE> condition.
@@ -72,7 +72,7 @@ protocol level.
It is safe to call SSL_read() or SSL_read_ex() when more data is available
even when the call that set this error was an SSL_write() or SSL_write_ex().
-However if the call was an SSL_write() or SSL_write_ex(), it should be called
+However, if the call was an SSL_write() or SSL_write_ex(), it should be called
again to continue sending the application data.
For socket B<BIO>s (e.g. when SSL_set_fd() was used), select() or
@@ -155,6 +155,18 @@ connection and SSL_shutdown() must not be called.
=back
+=head1 BUGS
+
+The B<SSL_ERROR_SYSCALL> with B<errno> value of 0 indicates unexpected EOF from
+the peer. This will be properly reported as B<SSL_ERROR_SSL> with reason
+code B<SSL_R_UNEXPECTED_EOF_WHILE_READING> in the OpenSSL 3.0 release because
+it is truly a TLS protocol error to terminate the connection without
+a SSL_shutdown().
+
+The issue is kept unfixed in OpenSSL 1.1.1 releases because many applications
+which choose to ignore this protocol error depend on the existing way of
+reporting the error.
+
=head1 SEE ALSO
L<ssl(7)>
@@ -166,7 +178,7 @@ The SSL_ERROR_WANT_CLIENT_HELLO_CB error code was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_load_client_CA_file.pod b/doc/man3/SSL_load_client_CA_file.pod
index a6cfb308..f354ef41 100644
--- a/doc/man3/SSL_load_client_CA_file.pod
+++ b/doc/man3/SSL_load_client_CA_file.pod
@@ -2,7 +2,10 @@
=head1 NAME
-SSL_load_client_CA_file - load certificate names from file
+SSL_load_client_CA_file,
+SSL_add_file_cert_subjects_to_stack,
+SSL_add_dir_cert_subjects_to_stack
+- load certificate names
=head1 SYNOPSIS
@@ -10,11 +13,23 @@ SSL_load_client_CA_file - load certificate names from file
STACK_OF(X509_NAME) *SSL_load_client_CA_file(const char *file);
+ int SSL_add_file_cert_subjects_to_stack(STACK_OF(X509_NAME) *stack,
+ const char *file)
+ int SSL_add_dir_cert_subjects_to_stack(STACK_OF(X509_NAME) *stack,
+ const char *dir)
+
=head1 DESCRIPTION
-SSL_load_client_CA_file() reads certificates from B<file> and returns
+SSL_load_client_CA_file() reads certificates from I<file> and returns
a STACK_OF(X509_NAME) with the subject names found.
+SSL_add_file_cert_subjects_to_stack() reads certificates from I<file>,
+and adds their subject name to the already existing I<stack>.
+
+SSL_add_dir_cert_subjects_to_stack() reads certificates from every
+file in the directory I<dir>, and adds their subject name to the
+already existing I<stack>.
+
=head1 NOTES
SSL_load_client_CA_file() reads a file of PEM formatted certificates and
diff --git a/doc/man3/SSL_new.pod b/doc/man3/SSL_new.pod
index 222e9d58..b8680526 100644
--- a/doc/man3/SSL_new.pod
+++ b/doc/man3/SSL_new.pod
@@ -26,10 +26,75 @@ structure are freed.
SSL_up_ref() increments the reference count for an
existing B<SSL> structure.
-SSL_dup() duplicates an existing B<SSL> structure into a new allocated one. All
-settings are inherited from the original B<SSL> structure. Dynamic data (i.e.
-existing connection details) are not copied, the new B<SSL> is set into an
-initial accept (server) or connect (client) state.
+The function SSL_dup() creates and returns a new B<SSL> structure from the same
+B<SSL_CTX> that was used to create I<s>. It additionally duplicates a subset of
+the settings in I<s> into the new B<SSL> object.
+
+For SSL_dup() to work, the connection MUST be in its initial state and
+MUST NOT have yet started the SSL handshake. For connections that are not in
+their initial state SSL_dup() just increments an internal
+reference count and returns the I<same> handle. It may be possible to
+use L<SSL_clear(3)> to recycle an SSL handle that is not in its initial
+state for re-use, but this is best avoided. Instead, save and restore
+the session, if desired, and construct a fresh handle for each connection.
+
+The subset of settings in I<s> that are duplicated are:
+
+=over 4
+
+=item any session data if configured (including the session_id_context)
+
+=item any tmp_dh settings set via L<SSL_set_tmp_dh(3)>,
+L<SSL_set_tmp_dh_callback(3)>, or L<SSL_set_dh_auto(3)>
+
+=item any configured certificates, private keys or certificate chains
+
+=item any configured signature algorithms, or client signature algorithms
+
+=item any DANE settings
+
+=item any Options set via L<SSL_set_options(3)>
+
+=item any Mode set via L<SSL_set_mode(3)>
+
+=item any minimum or maximum protocol settings set via
+L<SSL_set_min_proto_version(3)> or L<SSL_set_max_proto_version(3)> (Note: Only
+from OpenSSL 1.1.1h and above)
+
+=item any Verify mode, callback or depth set via L<SSL_set_verify(3)> or
+L<SSL_set_verify_depth(3)> or any configured X509 verification parameters
+
+=item any msg callback or info callback set via L<SSL_set_msg_callback(3)> or
+L<SSL_set_info_callback(3)>
+
+=item any default password callback set via L<SSL_set_default_passwd_cb(3)>
+
+=item any session id generation callback set via L<SSL_set_generate_session_id(3)>
+
+=item any configured Cipher List
+
+=item initial accept (server) or connect (client) state
+
+=item the max cert list value set via L<SSL_set_max_cert_list(3)>
+
+=item the read_ahead value set via L<SSL_set_read_ahead(3)>
+
+=item application specific data set via L<SSL_set_ex_data(3)>
+
+=item any CA list or client CA list set via L<SSL_set0_CA_list(3)>,
+SSL_set0_client_CA_list() or similar functions
+
+=item any security level settings or callbacks
+
+=item any configured serverinfo data
+
+=item any configured PSK identity hint
+
+=item any configured custom extensions
+
+=item any client certificate types configured via SSL_set1_client_certificate_types
+
+=back
=head1 RETURN VALUES
@@ -59,7 +124,7 @@ L<ssl(7)>
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_pending.pod b/doc/man3/SSL_pending.pod
index c077a318..eb42b554 100644
--- a/doc/man3/SSL_pending.pod
+++ b/doc/man3/SSL_pending.pod
@@ -27,7 +27,7 @@ record) may have been read containing more TLS/SSL records. This also applies to
DTLS and pipelining (see L<SSL_CTX_set_split_send_fragment(3)>). These
additional bytes will be buffered by OpenSSL but will remain unprocessed until
they are needed. As these bytes are still in an unprocessed state SSL_pending()
-will ignore them. Therefore it is possible for no more bytes to be readable from
+will ignore them. Therefore, it is possible for no more bytes to be readable from
the underlying BIO (because OpenSSL has already read them) and for SSL_pending()
to return 0, even though readable application data bytes are available (because
the data is in unprocessed buffered records).
@@ -59,7 +59,7 @@ The SSL_has_pending() function was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_read.pod b/doc/man3/SSL_read.pod
index 4da7ad1a..29ccd994 100644
--- a/doc/man3/SSL_read.pod
+++ b/doc/man3/SSL_read.pod
@@ -45,7 +45,7 @@ invocation of a read function.
The read functions work based on the SSL/TLS records. The data are received in
records (with a maximum record size of 16kB). Only when a record has been
completely received, can it be processed (decryption and check of integrity).
-Therefore data that was not retrieved at the last read call can still be
+Therefore, data that was not retrieved at the last read call can still be
buffered inside the SSL layer and will be retrieved on the next read
call. If B<num> is higher than the number of bytes buffered then the read
functions will return with the bytes buffered. If no more bytes are in the
@@ -72,7 +72,7 @@ not set.
Note that if B<SSL_MODE_AUTO_RETRY> is set and only non-application data is
available the call will hang.
-If the underlying BIO is B<non-blocking>, a read function will also return when
+If the underlying BIO is B<nonblocking>, a read function will also return when
the underlying BIO could not satisfy the needs of the function to continue the
operation.
In this case a call to L<SSL_get_error(3)> with the
@@ -83,7 +83,7 @@ a read function can also cause write operations.
The calling process then must repeat the call after taking appropriate action
to satisfy the needs of the read function.
The action depends on the underlying BIO.
-When using a non-blocking socket, nothing is to be done, but select() can be
+When using a nonblocking socket, nothing is to be done, but select() can be
used to check for the required condition.
When using a buffering BIO, like a BIO pair, data must be written into or
retrieved out of the BIO before being able to continue.
@@ -142,7 +142,7 @@ The SSL_read_ex() and SSL_peek_ex() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_read_early_data.pod b/doc/man3/SSL_read_early_data.pod
index c51fe135..178bad73 100644
--- a/doc/man3/SSL_read_early_data.pod
+++ b/doc/man3/SSL_read_early_data.pod
@@ -58,10 +58,11 @@ SSL_set_allow_early_data_cb
These functions are used to send and receive early data where TLSv1.3 has been
negotiated. Early data can be sent by the client immediately after its initial
ClientHello without having to wait for the server to complete the handshake.
-Early data can only be sent if a session has previously been established with
-the server, and the server is known to support it. Additionally these functions
-can be used to send data from the server to the client when the client has not
-yet completed the authentication stage of the handshake.
+Early data can be sent if a session has previously been established with the
+server or when establishing a new session using an out-of-band PSK, and only
+when the server is known to support it. Additionally these functions can be used
+to send data from the server to the client when the client has not yet completed
+the authentication stage of the handshake.
Early data has weaker security properties than other data sent over an SSL/TLS
connection. In particular the data does not have forward secrecy. There are also
@@ -202,7 +203,7 @@ early data settings for the SSL_CTX and SSL objects respectively. Generally a
server application will either use both of SSL_read_early_data() and
SSL_CTX_set_max_early_data() (or SSL_set_max_early_data()), or neither of them,
since there is no practical benefit from using only one of them. If the maximum
-early data setting for a server is non-zero then replay protection is
+early data setting for a server is nonzero then replay protection is
automatically enabled (see L</REPLAY PROTECTION> below).
If the server rejects the early data sent by a client then it will skip over
@@ -220,7 +221,7 @@ max_early_data for the session and the recv_max_early_data setting for the
server. If a client sends more data than this then the connection will abort.
The configured value for max_early_data on a server may change over time as
-required. However clients may have tickets containing the previously configured
+required. However, clients may have tickets containing the previously configured
max_early_data value. The recv_max_early_data should always be equal to or
higher than any recently configured max_early_data value in order to avoid
aborted connections. The recv_max_early_data should never be set to less than
@@ -285,7 +286,7 @@ retry with a lower maximum protocol version.
When early data is in use the TLS protocol provides no security guarantees that
the same early data was not replayed across multiple connections. As a
mitigation for this issue OpenSSL automatically enables replay protection if the
-server is configured with a non-zero max early data value. With replay
+server is configured with a nonzero max early data value. With replay
protection enabled sessions are forced to be single use only. If a client
attempts to reuse a session ticket more than once, then the second and
subsequent attempts will fall back to a full handshake (and any early data that
@@ -316,7 +317,7 @@ cache. Applications should be designed with this in mind in order to minimise
the possibility of replay attacks.
The OpenSSL replay protection does not apply to external Pre Shared Keys (PSKs)
-(e.g. see SSL_CTX_set_psk_find_session_callback(3)). Therefore extreme caution
+(e.g. see SSL_CTX_set_psk_find_session_callback(3)). Therefore, extreme caution
should be applied when combining external PSKs with early data.
Some applications may mitigate the replay risks in other ways. For those
@@ -364,7 +365,7 @@ All of the functions described above were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_set1_host.pod b/doc/man3/SSL_set1_host.pod
index 4ae9f6e7..5754d480 100644
--- a/doc/man3/SSL_set1_host.pod
+++ b/doc/man3/SSL_set1_host.pod
@@ -19,9 +19,9 @@ SSL server verification parameters
These functions configure server hostname checks in the SSL client.
SSL_set1_host() sets the expected DNS hostname to B<name> clearing
-any previously specified host name or names. If B<name> is NULL,
+any previously specified hostname or names. If B<name> is NULL,
or the empty string the list of hostnames is cleared, and name
-checks are not performed on the peer certificate. When a non-empty
+checks are not performed on the peer certificate. When a nonempty
B<name> is specified, certificate verification automatically checks
the peer hostname via L<X509_check_host(3)> with B<flags> as specified
via SSL_set_hostflags(). Clients that enable DANE TLSA authentication
@@ -108,7 +108,7 @@ These functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_set_bio.pod b/doc/man3/SSL_set_bio.pod
index 1fa0d349..b824b5ae 100644
--- a/doc/man3/SSL_set_bio.pod
+++ b/doc/man3/SSL_set_bio.pod
@@ -16,7 +16,7 @@ SSL_set_bio, SSL_set0_rbio, SSL_set0_wbio - connect the SSL object with a BIO
SSL_set0_rbio() connects the BIO B<rbio> for the read operations of the B<ssl>
object. The SSL engine inherits the behaviour of B<rbio>. If the BIO is
-non-blocking then the B<ssl> object will also have non-blocking behaviour. This
+nonblocking then the B<ssl> object will also have nonblocking behaviour. This
function transfers ownership of B<rbio> to B<ssl>. It will be automatically
freed using L<BIO_free_all(3)> when the B<ssl> is freed. On calling this
function, any existing B<rbio> that was previously set will also be freed via a
@@ -26,7 +26,7 @@ the same value as previously).
SSL_set0_wbio() works in the same as SSL_set0_rbio() except that it connects
the BIO B<wbio> for the write operations of the B<ssl> object. Note that if the
rbio and wbio are the same then SSL_set0_rbio() and SSL_set0_wbio() each take
-ownership of one reference. Therefore it may be necessary to increment the
+ownership of one reference. Therefore, it may be necessary to increment the
number of references available using L<BIO_up_ref(3)> before calling the set0
functions.
@@ -104,7 +104,7 @@ SSL_set0_rbio() and SSL_set0_wbio() were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_set_fd.pod b/doc/man3/SSL_set_fd.pod
index d5ec951e..6780d515 100644
--- a/doc/man3/SSL_set_fd.pod
+++ b/doc/man3/SSL_set_fd.pod
@@ -20,8 +20,8 @@ socket file descriptor of a network connection.
When performing the operation, a B<socket BIO> is automatically created to
interface between the B<ssl> and B<fd>. The BIO and hence the SSL engine
-inherit the behaviour of B<fd>. If B<fd> is non-blocking, the B<ssl> will
-also have non-blocking behaviour.
+inherit the behaviour of B<fd>. If B<fd> is nonblocking, the B<ssl> will
+also have nonblocking behaviour.
If there was already a BIO connected to B<ssl>, BIO_free() will be called
(for both the reading and writing side, if different).
@@ -53,7 +53,7 @@ L<SSL_shutdown(3)>, L<ssl(7)> , L<bio(7)>
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_set_shutdown.pod b/doc/man3/SSL_set_shutdown.pod
index b1cf5892..1d08f6c2 100644
--- a/doc/man3/SSL_set_shutdown.pod
+++ b/doc/man3/SSL_set_shutdown.pod
@@ -20,7 +20,7 @@ SSL_get_shutdown() returns the shutdown mode of B<ssl>.
=head1 NOTES
-The shutdown state of an ssl connection is a bitmask of:
+The shutdown state of an ssl connection is a bit mask of:
=over 4
@@ -71,7 +71,7 @@ L<SSL_clear(3)>, L<SSL_free(3)>
=head1 COPYRIGHT
-Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_shutdown.pod b/doc/man3/SSL_shutdown.pod
index 732e5ada..a77721c8 100644
--- a/doc/man3/SSL_shutdown.pod
+++ b/doc/man3/SSL_shutdown.pod
@@ -95,13 +95,13 @@ The behaviour of SSL_shutdown() additionally depends on the underlying BIO.
If the underlying BIO is B<blocking>, SSL_shutdown() will only return once the
handshake step has been finished or an error occurred.
-If the underlying BIO is B<non-blocking>, SSL_shutdown() will also return
+If the underlying BIO is B<nonblocking>, SSL_shutdown() will also return
when the underlying BIO could not satisfy the needs of SSL_shutdown()
to continue the handshake. In this case a call to SSL_get_error() with the
return value of SSL_shutdown() will yield B<SSL_ERROR_WANT_READ> or
B<SSL_ERROR_WANT_WRITE>. The calling process then must repeat the call after
taking appropriate action to satisfy the needs of SSL_shutdown().
-The action depends on the underlying BIO. When using a non-blocking socket,
+The action depends on the underlying BIO. When using a nonblocking socket,
nothing is to be done, but select() can be used to check for the required
condition. When using a buffering BIO, like a BIO pair, data must be written
into or retrieved out of the BIO before being able to continue.
@@ -116,6 +116,16 @@ state but not actually send the close_notify alert messages,
see L<SSL_CTX_set_quiet_shutdown(3)>.
When "quiet shutdown" is enabled, SSL_shutdown() will always succeed
and return 1.
+Note that this is not standard compliant behaviour.
+It should only be done when the peer has a way to make sure all
+data has been received and doesn't wait for the close_notify alert
+message, otherwise an unexpected EOF will be reported.
+
+There are implementations that do not send the required close_notify alert.
+If there is a need to communicate with such an implementation, and it's clear
+that all data has been received, do not wait for the peer's close_notify alert.
+Waiting for the close_notify alert when the peer just closes the connection will
+result in an error being generated.
=head1 RETURN VALUES
@@ -128,8 +138,10 @@ The following return values can occur:
The shutdown is not yet finished: the close_notify was sent but the peer
did not send it back yet.
Call SSL_read() to do a bidirectional shutdown.
-The output of L<SSL_get_error(3)> may be misleading, as an
-erroneous SSL_ERROR_SYSCALL may be flagged even though no error occurred.
+
+Unlike most other function, returning 0 does not indicate an error.
+L<SSL_get_error(3)> should not get called, it may misleadingly
+indicate an error even though no error occurred.
=item Z<>1
@@ -140,7 +152,7 @@ and the peer's close_notify alert was received.
The shutdown was not successful.
Call L<SSL_get_error(3)> with the return value B<ret> to find out the reason.
-It can occur if an action is needed to continue the operation for non-blocking
+It can occur if an action is needed to continue the operation for nonblocking
BIOs.
It can also occur when not all data was read using SSL_read().
@@ -157,7 +169,7 @@ L<ssl(7)>, L<bio(7)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_state_string.pod b/doc/man3/SSL_state_string.pod
index 505945a9..54dfdd6c 100644
--- a/doc/man3/SSL_state_string.pod
+++ b/doc/man3/SSL_state_string.pod
@@ -26,11 +26,11 @@ maintained. Querying the state information is not very informative before
or when a connection has been established. It however can be of significant
interest during the handshake.
-When using non-blocking sockets, the function call performing the handshake
+When using nonblocking sockets, the function call performing the handshake
may return with SSL_ERROR_WANT_READ or SSL_ERROR_WANT_WRITE condition,
so that SSL_state_string[_long]() may be called.
-For both blocking or non-blocking sockets, the details state information
+For both blocking or nonblocking sockets, the details state information
can be used within the info_callback function set with the
SSL_set_info_callback() call.
@@ -44,7 +44,7 @@ L<ssl(7)>, L<SSL_CTX_set_info_callback(3)>
=head1 COPYRIGHT
-Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_want.pod b/doc/man3/SSL_want.pod
index 6840ccbf..4827e7ee 100644
--- a/doc/man3/SSL_want.pod
+++ b/doc/man3/SSL_want.pod
@@ -33,7 +33,7 @@ return values are similar to that of L<SSL_get_error(3)>.
Unlike L<SSL_get_error(3)>, which also evaluates the
error queue, the results are obtained by examining an internal state flag
only. The information must therefore only be used for normal operation under
-non-blocking I/O. Error conditions are not handled and must be treated
+nonblocking I/O. Error conditions are not handled and must be treated
using L<SSL_get_error(3)>.
The result returned by SSL_want() should always be consistent with
@@ -106,7 +106,7 @@ were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2001-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_write.pod b/doc/man3/SSL_write.pod
index a76ffbb8..5e3ce1e7 100644
--- a/doc/man3/SSL_write.pod
+++ b/doc/man3/SSL_write.pod
@@ -36,7 +36,7 @@ before the first call to a write function.
If the underlying BIO is B<blocking>, the write functions will only return, once
the write operation has been finished or an error occurred.
-If the underlying BIO is B<non-blocking> the write functions will also return
+If the underlying BIO is B<nonblocking> the write functions will also return
when the underlying BIO could not satisfy the needs of the function to continue
the operation. In this case a call to L<SSL_get_error(3)> with the
return value of the write function will yield B<SSL_ERROR_WANT_READ>
@@ -44,7 +44,7 @@ or B<SSL_ERROR_WANT_WRITE>. As at any time a re-negotiation is possible, a
call to a write function can also cause read operations! The calling process
then must repeat the call after taking appropriate action to satisfy the needs
of the write function. The action depends on the underlying BIO. When using a
-non-blocking socket, nothing is to be done, but select() can be used to check
+nonblocking socket, nothing is to be done, but select() can be used to check
for the required condition. When using a buffering BIO, like a BIO pair, data
must be written into or retrieved out of the BIO before being able to continue.
@@ -118,7 +118,7 @@ The SSL_write_ex() function was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/UI_UTIL_read_pw.pod b/doc/man3/UI_UTIL_read_pw.pod
index a59cc4f3..a6528a03 100644
--- a/doc/man3/UI_UTIL_read_pw.pod
+++ b/doc/man3/UI_UTIL_read_pw.pod
@@ -21,7 +21,7 @@ UI_UTIL_read_pw_string() asks for a passphrase, using B<prompt> as a
prompt, and stores it in B<buf>.
The maximum allowed size is given with B<length>, including the
terminating NUL byte.
-If B<verify> is non-zero, the password will be verified as well.
+If B<verify> is nonzero, the password will be verified as well.
UI_UTIL_read_pw() does the same as UI_UTIL_read_pw_string(), the
difference is that you can give it an external buffer B<buff> for the
@@ -62,7 +62,7 @@ L<UI_get_default_method(3)>
=head1 COPYRIGHT
-Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/UI_create_method.pod b/doc/man3/UI_create_method.pod
index a01e1012..c9295ff5 100644
--- a/doc/man3/UI_create_method.pod
+++ b/doc/man3/UI_create_method.pod
@@ -51,7 +51,7 @@ interface method creation and destruction
=head1 DESCRIPTION
-A method contains a few functions that implement the low level of the
+A method contains a few functions that implement the low-level of the
User Interface.
These functions are:
@@ -210,7 +210,7 @@ and UI_method_get_data_destructor() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/UI_new.pod b/doc/man3/UI_new.pod
index 3042b13f..f40b65df 100644
--- a/doc/man3/UI_new.pod
+++ b/doc/man3/UI_new.pod
@@ -152,7 +152,7 @@ UI_construct_prompt() is a helper function that can be used to create
a prompt from two pieces of information: an description and a name.
The default constructor (if there is none provided by the method used)
creates a string "Enter I<description> for I<name>:". With the
-description "pass phrase" and the file name "foo.key", that becomes
+description "pass phrase" and the filename "foo.key", that becomes
"Enter pass phrase for foo.key:". Other methods may create whatever
string and may include encodings that will be processed by the other
method functions.
@@ -243,7 +243,7 @@ The UI_dup_user_data() function was added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509V3_get_d2i.pod b/doc/man3/X509V3_get_d2i.pod
index ac560b21..159948b1 100644
--- a/doc/man3/X509V3_get_d2i.pod
+++ b/doc/man3/X509V3_get_d2i.pod
@@ -78,7 +78,7 @@ of a certificate a CRL or a CRL entry respectively.
=head1 NOTES
In almost all cases an extension can occur at most once and multiple
-occurrences is an error. Therefore the B<idx> parameter is usually B<NULL>.
+occurrences is an error. Therefore, the B<idx> parameter is usually B<NULL>.
The B<flags> parameter may be one of the following values.
@@ -231,7 +231,7 @@ L<X509_verify_cert(3)>
=head1 COPYRIGHT
-Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_ALGOR_dup.pod b/doc/man3/X509_ALGOR_dup.pod
index 4aeaa591..de2faf85 100644
--- a/doc/man3/X509_ALGOR_dup.pod
+++ b/doc/man3/X509_ALGOR_dup.pod
@@ -2,7 +2,7 @@
=head1 NAME
-X509_ALGOR_dup, X509_ALGOR_set0, X509_ALGOR_get0, X509_ALGOR_set_md, X509_ALGOR_cmp - AlgorithmIdentifier functions
+X509_ALGOR_dup, X509_ALGOR_set0, X509_ALGOR_get0, X509_ALGOR_set_md, X509_ALGOR_cmp, X509_ALGOR_copy - AlgorithmIdentifier functions
=head1 SYNOPSIS
@@ -14,6 +14,7 @@ X509_ALGOR_dup, X509_ALGOR_set0, X509_ALGOR_get0, X509_ALGOR_set_md, X509_ALGOR_
const void **ppval, const X509_ALGOR *alg);
void X509_ALGOR_set_md(X509_ALGOR *alg, const EVP_MD *md);
int X509_ALGOR_cmp(const X509_ALGOR *a, const X509_ALGOR *b);
+ int X509_ALGOR_copy(X509_ALGOR *dest, const X509_ALGOR *src);
=head1 DESCRIPTION
@@ -34,23 +35,30 @@ X509_ALGOR_set_md() sets the B<AlgorithmIdentifier> B<alg> to appropriate
values for the message digest B<md>.
X509_ALGOR_cmp() compares B<a> and B<b> and returns 0 if they have identical
-encodings and non-zero otherwise.
+encodings and nonzero otherwise.
+
+X509_ALGOR_copy() copies the source values into the dest structs; making
+a duplicate of each (and free any thing pointed to from within *dest).
=head1 RETURN VALUES
X509_ALGOR_dup() returns a valid B<X509_ALGOR> structure or NULL if an error
occurred.
-X509_ALGOR_set0() returns 1 on success or 0 on error.
+X509_ALGOR_set0() and X509_ALGOR_copy() return 1 on success or 0 on error.
X509_ALGOR_get0() and X509_ALGOR_set_md() return no values.
X509_ALGOR_cmp() returns 0 if the two parameters have identical encodings and
-non-zero otherwise.
+nonzero otherwise.
+
+=head1 HISTORY
+
+The X509_ALGOR_copy() was added in 1.1.1e.
=head1 COPYRIGHT
-Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_LOOKUP.pod b/doc/man3/X509_LOOKUP.pod
new file mode 100644
index 00000000..3e0bb6ab
--- /dev/null
+++ b/doc/man3/X509_LOOKUP.pod
@@ -0,0 +1,212 @@
+=pod
+
+=head1 NAME
+
+X509_LOOKUP, X509_LOOKUP_TYPE,
+X509_LOOKUP_new, X509_LOOKUP_free, X509_LOOKUP_init,
+X509_LOOKUP_shutdown,
+X509_LOOKUP_set_method_data, X509_LOOKUP_get_method_data,
+X509_LOOKUP_ctrl,
+X509_LOOKUP_load_file, X509_LOOKUP_add_dir,
+X509_LOOKUP_get_store, X509_LOOKUP_by_subject,
+X509_LOOKUP_by_issuer_serial, X509_LOOKUP_by_fingerprint,
+X509_LOOKUP_by_alias
+- OpenSSL certificate lookup mechanisms
+
+=head1 SYNOPSIS
+
+ #include <openssl/x509_vfy.h>
+
+ typedef x509_lookup_st X509_LOOKUP;
+
+ typedef enum X509_LOOKUP_TYPE;
+
+ X509_LOOKUP *X509_LOOKUP_new(X509_LOOKUP_METHOD *method);
+ int X509_LOOKUP_init(X509_LOOKUP *ctx);
+ int X509_LOOKUP_shutdown(X509_LOOKUP *ctx);
+ void X509_LOOKUP_free(X509_LOOKUP *ctx);
+
+ int X509_LOOKUP_set_method_data(X509_LOOKUP *ctx, void *data);
+ void *X509_LOOKUP_get_method_data(const X509_LOOKUP *ctx);
+
+ int X509_LOOKUP_ctrl(X509_LOOKUP *ctx, int cmd, const char *argc,
+ long argl, char **ret);
+ int X509_LOOKUP_load_file(X509_LOOKUP *ctx, char *name, long type);
+ int X509_LOOKUP_add_dir(X509_LOOKUP *ctx, char *name, long type);
+
+ X509_STORE *X509_LOOKUP_get_store(const X509_LOOKUP *ctx);
+
+ int X509_LOOKUP_by_subject(X509_LOOKUP *ctx, X509_LOOKUP_TYPE type,
+ X509_NAME *name, X509_OBJECT *ret);
+ int X509_LOOKUP_by_issuer_serial(X509_LOOKUP *ctx, X509_LOOKUP_TYPE type,
+ X509_NAME *name, ASN1_INTEGER *serial,
+ X509_OBJECT *ret);
+ int X509_LOOKUP_by_fingerprint(X509_LOOKUP *ctx, X509_LOOKUP_TYPE type,
+ const unsigned char *bytes, int len,
+ X509_OBJECT *ret);
+ int X509_LOOKUP_by_alias(X509_LOOKUP *ctx, X509_LOOKUP_TYPE type,
+ const char *str, int len, X509_OBJECT *ret);
+
+=head1 DESCRIPTION
+
+The B<X509_LOOKUP> structure holds the information needed to look up
+certificates and CRLs according to an associated L<X509_LOOKUP_METHOD(3)>.
+Multiple B<X509_LOOKUP> instances can be added to an L<X509_STORE(3)>
+to enable lookup in that store.
+
+X509_LOOKUP_new() creates a new B<X509_LOOKUP> using the given lookup
+I<method>.
+It can also be created by calling L<X509_STORE_add_lookup(3)>, which
+will associate an B<X509_STORE> with the lookup mechanism.
+
+X509_LOOKUP_init() initializes the internal state and resources as
+needed by the given B<X509_LOOKUP> to do its work.
+
+X509_LOOKUP_shutdown() tears down the internal state and resources of
+the given B<X509_LOOKUP>.
+
+X509_LOOKUP_free() destructs the given B<X509_LOOKUP>.
+
+X509_LOOKUP_set_method_data() associates a pointer to application data
+to the given B<X509_LOOKUP>.
+
+X509_LOOKUP_get_method_data() retrieves a pointer to application data
+from the given B<X509_LOOKUP>.
+
+X509_LOOKUP_ctrl() is used to set or get additional data to or from an
+B<X509_LOOKUP> structure or its associated L<X509_LOOKUP_METHOD(3)>.
+The arguments of the control command are passed via I<argc> and I<argl>,
+its return value via I<*ret>.
+The meaning of the arguments depends on the I<cmd> number of the
+control command. In general, this function is not called directly, but
+wrapped by a macro call, see below.
+The control I<cmd>s known to OpenSSL are discussed in more depth
+in L</Control Commands>.
+
+X509_LOOKUP_load_file() passes a filename to be loaded immediately
+into the associated B<X509_STORE>.
+I<type> indicates what type of object is expected.
+This can only be used with a lookup using the implementation
+L<X509_LOOKUP_file(3)>.
+
+X509_LOOKUP_add_dir() passes a directory specification from which
+certificates and CRLs are loaded on demand into the associated
+B<X509_STORE>.
+I<type> indicates what type of object is expected.
+This can only be used with a lookup using the implementation
+L<X509_LOOKUP_hash_dir(3)>.
+
+X509_LOOKUP_load_file(), X509_LOOKUP_add_dir(),
+X509_LOOKUP_add_store(), and X509_LOOKUP_load_store() are implemented
+as macros that use X509_LOOKUP_ctrl().
+
+X509_LOOKUP_by_subject(), X509_LOOKUP_by_issuer_serial(),
+X509_LOOKUP_by_fingerprint(), and X509_LOOKUP_by_alias() look up
+certificates and CRLs in the L<X509_STORE(3)> associated with the
+B<X509_LOOKUP> using different criteria, where the looked up object is
+stored in I<ret>.
+Some of the underlying B<X509_LOOKUP_METHOD>s will also cache objects
+matching the criteria in the associated B<X509_STORE>, which makes it
+possible to handle cases where the criteria have more than one hit.
+
+=head2 File Types
+
+X509_LOOKUP_load_file() and X509_LOOKUP_add_dir() take a I<type>,
+which can be one of the following:
+
+=over 4
+
+=item B<X509_FILETYPE_PEM>
+
+The file or files that are loaded are expected to be in PEM format.
+
+=item B<X509_FILETYPE_ASN1>
+
+The file or files that are loaded are expected to be in raw DER format.
+
+=item B<X509_FILETYPE_DEFAULT>
+
+The default certificate file or directory is used. In this case,
+I<name> is ignored.
+
+=begin comment
+
+TODO
+Document X509_get_default_cert_file_env(3),
+X509_get_default_cert_file(3), X509_get_default_cert_dir_env(3) and
+X509_get_default_cert_dir(3) and link to them here.
+
+=end comment
+
+=back
+
+=head2 Control Commands
+
+The B<X509_LOOKUP_METHOD>s built into OpenSSL recognise the following
+X509_LOOKUP_ctrl() I<cmd>s:
+
+=over 4
+
+=item B<X509_L_FILE_LOAD>
+
+This is the command that X509_LOOKUP_load_file() uses.
+The filename is passed in I<argc>, and the type in I<argl>.
+
+=item B<X509_L_ADD_DIR>
+
+This is the command that X509_LOOKUP_add_dir() uses.
+The directory specification is passed in I<argc>, and the type in
+I<argl>.
+
+=item B<X509_L_ADD_STORE>
+
+This is the command that X509_LOOKUP_add_store() uses.
+The URI is passed in I<argc>.
+
+=item B<X509_L_LOAD_STORE>
+
+This is the command that X509_LOOKUP_load_store() uses.
+The URI is passed in I<argc>.
+
+=back
+
+=head1 RETURN VALUES
+
+X509_LOOKUP_new() returns an B<X509_LOOKUP> pointer when successful,
+or NULL on error.
+
+X509_LOOKUP_init() and X509_LOOKUP_shutdown() return 1 on success, or
+0 on error.
+
+X509_LOOKUP_ctrl() returns -1 if the B<X509_LOOKUP> doesn't have an
+associated B<X509_LOOKUP_METHOD>, or 1 if the X<509_LOOKUP_METHOD>
+doesn't have a control function.
+Otherwise, it returns what the control function in the
+B<X509_LOOKUP_METHOD> returns, which is usually 1 on success and 0 in
+error.
+
+X509_LOOKUP_get_store() returns an B<X509_STORE> pointer if there is
+one, otherwise NULL.
+
+X509_LOOKUP_by_subject(), X509_LOOKUP_by_issuer_serial(),
+X509_LOOKUP_by_fingerprint(), and X509_LOOKUP_by_alias() all return 0
+if there is no B<X509_LOOKUP_METHOD> or that method doesn't implement
+the corresponding function.
+Otherwise, it returns what the corresponding function in the
+B<X509_LOOKUP_METHOD> returns, which is usually 1 on success and 0 in
+error.
+
+=head1 SEE ALSO
+
+L<X509_LOOKUP_METHOD(3)>, L<X509_STORE(3)>
+
+=head1 COPYRIGHT
+
+Copyright 2020 The OpenSSL Project Authors. All Rights Reserved.
+
+Licensed under the Apache License 2.0 (the "License"). You may not use
+this file except in compliance with the License. You can obtain a copy
+in the file LICENSE in the source distribution or at
+L<https://www.openssl.org/source/license.html>.
+
+=cut
diff --git a/doc/man3/X509_LOOKUP_hash_dir.pod b/doc/man3/X509_LOOKUP_hash_dir.pod
index dd41f78b..365d0dea 100644
--- a/doc/man3/X509_LOOKUP_hash_dir.pod
+++ b/doc/man3/X509_LOOKUP_hash_dir.pod
@@ -80,7 +80,7 @@ upon each lookup, so that newer CRLs are as soon as they appear in
the directory.
The directory should contain one certificate or CRL per file in PEM format,
-with a file name of the form I<hash>.I<N> for a certificate, or
+with a filename of the form I<hash>.I<N> for a certificate, or
I<hash>.B<r>I<N> for a CRL.
The I<hash> is the value returned by the L<X509_NAME_hash(3)> function applied
to the subject name for certificates or issuer name for CRLs.
@@ -129,7 +129,7 @@ L<X509_LOOKUP_meth_new(3)>,
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_LOOKUP_meth_new.pod b/doc/man3/X509_LOOKUP_meth_new.pod
index e5f0a098..ad581d4b 100644
--- a/doc/man3/X509_LOOKUP_meth_new.pod
+++ b/doc/man3/X509_LOOKUP_meth_new.pod
@@ -2,6 +2,7 @@
=head1 NAME
+X509_LOOKUP_METHOD,
X509_LOOKUP_meth_new, X509_LOOKUP_meth_free, X509_LOOKUP_meth_set_new_item,
X509_LOOKUP_meth_get_new_item, X509_LOOKUP_meth_set_free,
X509_LOOKUP_meth_get_free, X509_LOOKUP_meth_set_init,
@@ -16,14 +17,15 @@ X509_LOOKUP_get_by_fingerprint_fn, X509_LOOKUP_meth_set_get_by_fingerprint,
X509_LOOKUP_meth_get_get_by_fingerprint,
X509_LOOKUP_get_by_alias_fn, X509_LOOKUP_meth_set_get_by_alias,
X509_LOOKUP_meth_get_get_by_alias,
-X509_LOOKUP_set_method_data, X509_LOOKUP_get_method_data,
-X509_LOOKUP_get_store, X509_OBJECT_set1_X509, X509_OBJECT_set1_X509_CRL
+X509_OBJECT_set1_X509, X509_OBJECT_set1_X509_CRL
- Routines to build up X509_LOOKUP methods
=head1 SYNOPSIS
#include <openssl/x509_vfy.h>
+ typedef x509_lookup_method_st X509_LOOKUP_METHOD;
+
X509_LOOKUP_METHOD *X509_LOOKUP_meth_new(const char *name);
void X509_LOOKUP_meth_free(X509_LOOKUP_METHOD *method);
@@ -92,11 +94,6 @@ X509_LOOKUP_get_store, X509_OBJECT_set1_X509, X509_OBJECT_set1_X509_CRL
X509_LOOKUP_get_by_alias_fn X509_LOOKUP_meth_get_get_by_alias(
const X509_LOOKUP_METHOD *method);
- int X509_LOOKUP_set_method_data(X509_LOOKUP *ctx, void *data);
- void *X509_LOOKUP_get_method_data(const X509_LOOKUP *ctx);
-
- X509_STORE *X509_LOOKUP_get_store(const X509_LOOKUP *ctx);
-
int X509_OBJECT_set1_X509(X509_OBJECT *a, X509 *obj);
int X509_OBJECT_set1_X509_CRL(X509_OBJECT *a, X509_CRL *obj);
@@ -118,7 +115,7 @@ X509_LOOKUP_get_new_item() and X509_LOOKUP_set_new_item() get and set the
function that is called when an B<X509_LOOKUP> object is created with
X509_LOOKUP_new(). If an X509_LOOKUP_METHOD requires any per-X509_LOOKUP
specific data, the supplied new_item function should allocate this data and
-invoke X509_LOOKUP_set_method_data().
+invoke L<X509_LOOKUP_set_method_data(3)>.
X509_LOOKUP_get_free() and X509_LOOKUP_set_free() get and set the function
that is used to free any method data that was allocated and set from within
@@ -126,7 +123,7 @@ new_item function.
X509_LOOKUP_meth_get_init() and X509_LOOKUP_meth_set_init() get and set the
function that is used to initialize the method data that was set with
-X509_LOOKUP_set_method_data() as part of the new_item routine.
+L<X509_LOOKUP_set_method_data(3)> as part of the new_item routine.
X509_LOOKUP_meth_get_shutdown() and X509_LOOKUP_meth_set_shutdown() get and set
the function that is used to shut down the method data whose state was
@@ -154,7 +151,7 @@ Implementations must add objects they find to the B<X509_STORE> object
using X509_STORE_add_cert() or X509_STORE_add_crl(). This increments
its reference count. However, the X509_STORE_CTX_get_by_subject()
function also increases the reference count which leads to one too
-many references being held. Therefore applications should
+many references being held. Therefore, applications should
additionally call X509_free() or X509_CRL_free() to decrement the
reference count again.
@@ -164,9 +161,9 @@ increments the result's reference count.
Any method data that was created as a result of the new_item function
set by X509_LOOKUP_meth_set_new_item() can be accessed with
-X509_LOOKUP_get_method_data(). The B<X509_STORE> object that owns the
-X509_LOOKUP may be accessed with X509_LOOKUP_get_store(). Successful lookups
-should return 1, and unsuccessful lookups should return 0.
+L<X509_LOOKUP_get_method_data(3)>. The B<X509_STORE> object that owns the
+X509_LOOKUP may be accessed with L<X509_LOOKUP_get_store(3)>. Successful
+lookups should return 1, and unsuccessful lookups should return 0.
X509_LOOKUP_get_get_by_subject(), X509_LOOKUP_get_get_by_issuer_serial(),
X509_LOOKUP_get_get_by_fingerprint(), X509_LOOKUP_get_get_by_alias() retrieve
@@ -189,7 +186,7 @@ The functions described here were added in OpenSSL 1.1.0i.
=head1 COPYRIGHT
-Copyright 2018-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_STORE_CTX_get_error.pod b/doc/man3/X509_STORE_CTX_get_error.pod
index bdbf86ae..74a28c07 100644
--- a/doc/man3/X509_STORE_CTX_get_error.pod
+++ b/doc/man3/X509_STORE_CTX_get_error.pod
@@ -38,7 +38,7 @@ it might be used in a verification callback to set an error based on additional
checks.
X509_STORE_CTX_get_error_depth() returns the B<depth> of the error. This is a
-non-negative integer representing where in the certificate chain the error
+nonnegative integer representing where in the certificate chain the error
occurred. If it is zero it occurred in the end entity certificate, one if
it is the certificate which signed the end entity certificate and so on.
@@ -79,7 +79,7 @@ verification error B<n>.
X509_STORE_CTX_get_error() returns B<X509_V_OK> or an error code.
-X509_STORE_CTX_get_error_depth() returns a non-negative error depth.
+X509_STORE_CTX_get_error_depth() returns a nonnegative error depth.
X509_STORE_CTX_get_current_cert() returns the certificate which caused the
error or B<NULL> if no certificate is relevant to the error.
@@ -328,7 +328,7 @@ L<X509_free(3)>.
=head1 COPYRIGHT
-Copyright 2009-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_STORE_CTX_new.pod b/doc/man3/X509_STORE_CTX_new.pod
index 472db508..aba7fff7 100644
--- a/doc/man3/X509_STORE_CTX_new.pod
+++ b/doc/man3/X509_STORE_CTX_new.pod
@@ -28,7 +28,7 @@ X509_STORE_CTX_verify_fn
void X509_STORE_CTX_set0_trusted_stack(X509_STORE_CTX *ctx, STACK_OF(X509) *sk);
void X509_STORE_CTX_set_cert(X509_STORE_CTX *ctx, X509 *x);
- STACK_OF(X509) *X509_STORE_CTX_get0_chain(X609_STORE_CTX *ctx);
+ STACK_OF(X509) *X509_STORE_CTX_get0_chain(X509_STORE_CTX *ctx);
void X509_STORE_CTX_set0_verified_chain(X509_STORE_CTX *ctx, STACK_OF(X509) *chain);
void X509_STORE_CTX_set0_crls(X509_STORE_CTX *ctx, STACK_OF(X509_CRL) *sk);
@@ -52,7 +52,7 @@ by X509_verify_cert().
X509_STORE_CTX_new() returns a newly initialised B<X509_STORE_CTX> structure.
X509_STORE_CTX_cleanup() internally cleans up an B<X509_STORE_CTX> structure.
-The context can then be reused with an new call to X509_STORE_CTX_init().
+The context can then be reused with a new call to X509_STORE_CTX_init().
X509_STORE_CTX_free() completely frees up B<ctx>. After this call B<ctx>
is no longer valid.
@@ -80,7 +80,7 @@ X509_STORE_CTX_set0_verified_chain() sets the validated chain used
by B<ctx> to be B<chain>.
Ownership of the chain is transferred to B<ctx> and should not be
free'd by the caller.
-X509_STORE_CTX_get0_chain() returns a the internal pointer used by the
+X509_STORE_CTX_get0_chain() returns the internal pointer used by the
B<ctx> that contains the validated chain.
X509_STORE_CTX_set0_crls() sets a set of CRLs to use to aid certificate
@@ -133,7 +133,7 @@ should be made or reference counts increased instead.
=head1 RETURN VALUES
-X509_STORE_CTX_new() returns an newly allocates context or B<NULL> is an
+X509_STORE_CTX_new() returns a newly allocated context or B<NULL> if an
error occurred.
X509_STORE_CTX_init() returns 1 for success or 0 if an error occurred.
@@ -164,7 +164,7 @@ The X509_STORE_CTX_get_num_untrusted() function was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2009-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_STORE_CTX_set_verify_cb.pod b/doc/man3/X509_STORE_CTX_set_verify_cb.pod
index 7cd661f2..81fe0b25 100644
--- a/doc/man3/X509_STORE_CTX_set_verify_cb.pod
+++ b/doc/man3/X509_STORE_CTX_set_verify_cb.pod
@@ -48,7 +48,7 @@ The verification callback can be used to customise the operation of certificate
verification, either by overriding error conditions or logging errors for
debugging purposes.
-However a verification callback is B<not> essential and the default operation
+However, a verification callback is B<not> essential and the default operation
is often sufficient.
The B<ok> parameter to the callback indicates the value the callback should
@@ -202,7 +202,7 @@ and X509_STORE_CTX_get_cleanup() functions were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2009-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_STORE_add_cert.pod b/doc/man3/X509_STORE_add_cert.pod
index 3ea5b8b1..d840bd6d 100644
--- a/doc/man3/X509_STORE_add_cert.pod
+++ b/doc/man3/X509_STORE_add_cert.pod
@@ -2,8 +2,10 @@
=head1 NAME
+X509_STORE,
X509_STORE_add_cert, X509_STORE_add_crl, X509_STORE_set_depth,
X509_STORE_set_flags, X509_STORE_set_purpose, X509_STORE_set_trust,
+X509_STORE_add_lookup,
X509_STORE_load_locations,
X509_STORE_set_default_paths
- X509_STORE manipulation
@@ -12,6 +14,8 @@ X509_STORE_set_default_paths
#include <openssl/x509_vfy.h>
+ typedef x509_store_st X509_STORE;
+
int X509_STORE_add_cert(X509_STORE *ctx, X509 *x);
int X509_STORE_add_crl(X509_STORE *ctx, X509_CRL *x);
int X509_STORE_set_depth(X509_STORE *store, int depth);
@@ -19,6 +23,9 @@ X509_STORE_set_default_paths
int X509_STORE_set_purpose(X509_STORE *ctx, int purpose);
int X509_STORE_set_trust(X509_STORE *ctx, int trust);
+ X509_LOOKUP *X509_STORE_add_lookup(X509_STORE *store,
+ X509_LOOKUP_METHOD *meth);
+
int X509_STORE_load_locations(X509_STORE *ctx,
const char *file, const char *dir);
int X509_STORE_set_default_paths(X509_STORE *ctx);
@@ -65,6 +72,11 @@ for the corresponding values used in certificate chain validation. Their
behavior is documented in the corresponding B<X509_VERIFY_PARAM> manual
pages, e.g., L<X509_VERIFY_PARAM_set_depth(3)>.
+X509_STORE_add_lookup() finds or creates a L<X509_LOOKUP(3)> with the
+L<X509_LOOKUP_METHOD(3)> I<meth> and adds it to the B<X509_STORE>
+I<store>. This also associates the B<X509_STORE> with the lookup, so
+B<X509_LOOKUP> functions can look up objects in that store.
+
X509_STORE_load_locations() loads trusted certificate(s) into an
B<X509_STORE> from a given file and/or directory path. It is permitted
to specify just a file, just a directory, or both paths. The certificates
@@ -83,6 +95,9 @@ X509_STORE_set_flags(), X509_STORE_set_purpose(),
X509_STORE_set_trust(), X509_STORE_load_locations(), and
X509_STORE_set_default_paths() return 1 on success or 0 on failure.
+X509_STORE_add_lookup() returns the found or created
+L<X509_LOOKUP(3)>, or NULL on error.
+
=head1 SEE ALSO
L<X509_LOOKUP_hash_dir(3)>.
@@ -92,7 +107,7 @@ L<X509_STORE_get0_param(3)>
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_STORE_set_verify_cb_func.pod b/doc/man3/X509_STORE_set_verify_cb_func.pod
index d16881ed..6d709825 100644
--- a/doc/man3/X509_STORE_set_verify_cb_func.pod
+++ b/doc/man3/X509_STORE_set_verify_cb_func.pod
@@ -137,7 +137,7 @@ I<If no function to get the issuer is provided, the internal default
function will be used instead.>
X509_STORE_set_check_issued() sets the function to check that a given
-certificate B<x> is issued with the issuer certificate B<issuer>.
+certificate B<x> is issued by the issuer certificate B<issuer>.
This function must return 0 on failure (among others if B<x> hasn't
been issued with B<issuer>) and 1 on success.
I<If no function to get the issuer is provided, the internal default
@@ -256,7 +256,7 @@ were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2009-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_VERIFY_PARAM_set_flags.pod b/doc/man3/X509_VERIFY_PARAM_set_flags.pod
index 7593dea7..f6f304bf 100644
--- a/doc/man3/X509_VERIFY_PARAM_set_flags.pod
+++ b/doc/man3/X509_VERIFY_PARAM_set_flags.pod
@@ -129,7 +129,7 @@ interoperable, though it will, for example, reject MD5 signatures or RSA keys
shorter than 1024 bits.
X509_VERIFY_PARAM_set1_host() sets the expected DNS hostname to
-B<name> clearing any previously specified host name or names. If
+B<name> clearing any previously specified hostname or names. If
B<name> is NULL, or empty the list of hostnames is cleared, and
name checks are not performed on the peer certificate. If B<name>
is NUL-terminated, B<namelen> may be zero, otherwise B<namelen>
@@ -264,12 +264,15 @@ they are enabled.
If B<X509_V_FLAG_USE_DELTAS> is set delta CRLs (if present) are used to
determine certificate status. If not set deltas are ignored.
-B<X509_V_FLAG_CHECK_SS_SIGNATURE> enables checking of the root CA self signed
-certificate signature. By default this check is disabled because it doesn't
+B<X509_V_FLAG_CHECK_SS_SIGNATURE> requests checking the signature of
+the last certificate in a chain if the certificate is supposedly self-signed.
+This is prohibited and will result in an error if it is a non-conforming CA
+certificate with key usage restrictions not including the keyCertSign bit.
+By default this check is disabled because it doesn't
add any additional security but in some cases applications might want to
-check the signature anyway. A side effect of not checking the root CA
-signature is that disabled or unsupported message digests on the root CA
-are not treated as fatal errors.
+check the signature anyway. A side effect of not checking the self-signature
+of such a certificate is that disabled or unsupported message digests used for
+the signature are not treated as fatal errors.
When B<X509_V_FLAG_TRUSTED_FIRST> is set, construction of the certificate chain
in L<X509_verify_cert(3)> will search the trust store for issuer certificates
@@ -376,7 +379,7 @@ The X509_VERIFY_PARAM_get_hostflags() function was added in OpenSSL 1.1.0i.
=head1 COPYRIGHT
-Copyright 2009-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_check_ca.pod b/doc/man3/X509_check_ca.pod
index 38f0811d..b70ecb78 100644
--- a/doc/man3/X509_check_ca.pod
+++ b/doc/man3/X509_check_ca.pod
@@ -24,7 +24,7 @@ B<keyUsage> extension with bit B<keyCertSign> set, but without
B<basicConstraints>, and 5 if it has outdated Netscape Certificate Type
extension telling that it is CA certificate.
-Actually, any non-zero value means that this certificate could have been
+Actually, any nonzero value means that this certificate could have been
used to sign other certificates.
=head1 SEE ALSO
@@ -35,7 +35,7 @@ L<X509_check_purpose(3)>
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_check_host.pod b/doc/man3/X509_check_host.pod
index dba6a697..b8bdd4c8 100644
--- a/doc/man3/X509_check_host.pod
+++ b/doc/man3/X509_check_host.pod
@@ -19,13 +19,13 @@ X509_check_host, X509_check_email, X509_check_ip, X509_check_ip_asc - X.509 cert
=head1 DESCRIPTION
The certificate matching functions are used to check whether a
-certificate matches a given host name, email address, or IP address.
+certificate matches a given hostname, email address, or IP address.
The validity of the certificate and its trust level has to be checked by
other means.
X509_check_host() checks if the certificate Subject Alternative
-Name (SAN) or Subject CommonName (CN) matches the specified host
-name, which must be encoded in the preferred name syntax described
+Name (SAN) or Subject CommonName (CN) matches the specified hostname,
+which must be encoded in the preferred name syntax described
in section 3.5 of RFC 1034. By default, wildcards are supported
and they match only in the left-most label; but they may match
part of that label with an explicit prefix or suffix. For example,
@@ -37,7 +37,7 @@ Per section 6.4.2 of RFC 6125, B<name> values representing international
domain names must be given in A-label form. The B<namelen> argument
must be the number of characters in the name string or zero in which
case the length is calculated with strlen(B<name>). When B<name> starts
-with a dot (e.g ".example.com"), it will be matched by a certificate
+with a dot (e.g. ".example.com"), it will be matched by a certificate
valid for any sub-domain of B<name>, (see also
B<X509_CHECK_FLAG_SINGLE_LABEL_SUBDOMAINS> below).
@@ -150,7 +150,7 @@ These functions were added in OpenSSL 1.0.2.
=head1 COPYRIGHT
-Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_check_issued.pod b/doc/man3/X509_check_issued.pod
index f9a541ef..55f75ac8 100644
--- a/doc/man3/X509_check_issued.pod
+++ b/doc/man3/X509_check_issued.pod
@@ -2,7 +2,7 @@
=head1 NAME
-X509_check_issued - checks if certificate is issued by another
+X509_check_issued - checks if certificate is apparently issued by another
certificate
=head1 SYNOPSIS
@@ -14,13 +14,14 @@ certificate
=head1 DESCRIPTION
-This function checks if certificate I<subject> was issued using CA
-certificate I<issuer>. This function takes into account not only
-matching of issuer field of I<subject> with subject field of I<issuer>,
-but also compares B<authorityKeyIdentifier> extension of I<subject> with
-B<subjectKeyIdentifier> of I<issuer> if B<authorityKeyIdentifier>
-present in the I<subject> certificate and checks B<keyUsage> field of
-I<issuer>.
+X509_check_issued() checks if certificate I<subject> was apparently issued
+using (CA) certificate I<issuer>. This function takes into account not only
+matching of the issuer field of I<subject> with the subject field of I<issuer>,
+but also compares all sub-fields of the B<authorityKeyIdentifier> extension of
+I<subject>, as far as present, with the respective B<subjectKeyIdentifier>,
+serial number, and issuer fields of I<issuer>, as far as present. It also checks
+if the B<keyUsage> field (if present) of I<issuer> allows certificate signing.
+It does not check the certificate signature.
=head1 RETURN VALUES
@@ -35,7 +36,7 @@ L<verify(1)>
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_check_purpose.pod b/doc/man3/X509_check_purpose.pod
new file mode 100644
index 00000000..6af9e798
--- /dev/null
+++ b/doc/man3/X509_check_purpose.pod
@@ -0,0 +1,74 @@
+=pod
+
+=head1 NAME
+
+X509_check_purpose - Check the purpose of a certificate
+
+=head1 SYNOPSIS
+
+ #include <openssl/x509v3.h>
+
+ int X509_check_purpose(X509 *x, int id, int ca)
+
+=head1 DESCRIPTION
+
+This function checks if certificate I<x> was created with the purpose
+represented by I<id>. If I<ca> is nonzero, then certificate I<x> is
+checked to determine if it's a possible CA with various levels of certainty
+possibly returned.
+
+Below are the potential ID's that can be checked:
+
+ # define X509_PURPOSE_SSL_CLIENT 1
+ # define X509_PURPOSE_SSL_SERVER 2
+ # define X509_PURPOSE_NS_SSL_SERVER 3
+ # define X509_PURPOSE_SMIME_SIGN 4
+ # define X509_PURPOSE_SMIME_ENCRYPT 5
+ # define X509_PURPOSE_CRL_SIGN 6
+ # define X509_PURPOSE_ANY 7
+ # define X509_PURPOSE_OCSP_HELPER 8
+ # define X509_PURPOSE_TIMESTAMP_SIGN 9
+
+=head1 RETURN VALUES
+
+For non-CA checks
+
+=over 4
+
+=item -1 an error condition has occurred
+
+=item E<32>1 if the certificate was created to perform the purpose represented by I<id>
+
+=item E<32>0 if the certificate was not created to perform the purpose represented by I<id>
+
+=back
+
+For CA checks the below integers could be returned with the following meanings:
+
+=over 4
+
+=item -1 an error condition has occurred
+
+=item E<32>0 not a CA or does not have the purpose represented by I<id>
+
+=item E<32>1 is a CA.
+
+=item E<32>2 Only possible in old versions of openSSL when basicConstraints are absent.
+ New versions will not return this value. May be a CA
+
+=item E<32>3 basicConstraints absent but self signed V1.
+
+=item E<32>4 basicConstraints absent but keyUsage present and keyCertSign asserted.
+
+=item E<32>5 legacy Netscape specific CA Flags present
+
+=back
+
+=head1 COPYRIGHT
+
+Copyright 2019-2020 The OpenSSL Project Authors. All Rights Reserved.
+Licensed under the Apache License 2.0 (the "License"). You may not use this
+file except in compliance with the License. You can obtain a copy in the file
+LICENSE in the source distribution or at L<https://www.openssl.org/source/license.html>.
+
+=cut
diff --git a/doc/man3/X509_get0_signature.pod b/doc/man3/X509_get0_signature.pod
index 4133bc37..99565e2a 100644
--- a/doc/man3/X509_get0_signature.pod
+++ b/doc/man3/X509_get0_signature.pod
@@ -2,10 +2,10 @@
=head1 NAME
-X509_get0_signature, X509_get_signature_nid, X509_get0_tbs_sigalg,
-X509_REQ_get0_signature, X509_REQ_get_signature_nid, X509_CRL_get0_signature,
-X509_CRL_get_signature_nid, X509_get_signature_info, X509_SIG_INFO_get,
-X509_SIG_INFO_set - signature information
+X509_get0_signature, X509_REQ_set0_signature, X509_REQ_set1_signature_algo,
+X509_get_signature_nid, X509_get0_tbs_sigalg, X509_REQ_get0_signature,
+X509_REQ_get_signature_nid, X509_CRL_get0_signature, X509_CRL_get_signature_nid,
+X509_get_signature_info, X509_SIG_INFO_get, X509_SIG_INFO_set - signature information
=head1 SYNOPSIS
@@ -14,6 +14,8 @@ X509_SIG_INFO_set - signature information
void X509_get0_signature(const ASN1_BIT_STRING **psig,
const X509_ALGOR **palg,
const X509 *x);
+ void X509_REQ_set0_signature(X509_REQ *req, ASN1_BIT_STRING *psig);
+ int X509_REQ_set1_signature_algo(X509_REQ *req, X509_ALGOR *palg);
int X509_get_signature_nid(const X509 *x);
const X509_ALGOR *X509_get0_tbs_sigalg(const X509 *x);
@@ -41,6 +43,9 @@ X509_get0_signature() sets B<*psig> to the signature of B<x> and B<*palg>
to the signature algorithm of B<x>. The values returned are internal
pointers which B<MUST NOT> be freed up after the call.
+X509_set0_signature() and X509_REQ_set1_signature_algo() are the
+equivalent setters for the two values of X509_get0_signature().
+
X509_get0_tbs_sigalg() returns the signature algorithm in the signed
portion of B<x>.
@@ -88,6 +93,10 @@ X509_get_signature_info() returns 1 if the signature information
returned is valid or 0 if the information is not available (e.g.
unknown algorithms or malformed parameters).
+X509_REQ_set1_signature_algo() returns 0 on success; or 1 on an
+error (e.g. null ALGO pointer). X509_REQ_set0_signature does
+not return an error value.
+
=head1 SEE ALSO
L<d2i_X509(3)>,
@@ -118,9 +127,12 @@ X509_REQ_get0_signature(), X509_REQ_get_signature_nid(),
X509_CRL_get0_signature() and X509_CRL_get_signature_nid() were
added in OpenSSL 1.1.0.
+The X509_REQ_set0_signature() and X509_REQ_set1_signature_algo()
+were added in OpenSSL 1.1.1e.
+
=head1 COPYRIGHT
-Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_get_extension_flags.pod b/doc/man3/X509_get_extension_flags.pod
index 2dfe2ef3..d958b22a 100644
--- a/doc/man3/X509_get_extension_flags.pod
+++ b/doc/man3/X509_get_extension_flags.pod
@@ -78,8 +78,24 @@ The certificate contains an unhandled critical extension.
=item B<EXFLAG_INVALID>
-Some certificate extension values are invalid or inconsistent. The
-certificate should be rejected.
+Some certificate extension values are invalid or inconsistent.
+The certificate should be rejected.
+This bit may also be raised after an out-of-memory error while
+processing the X509 object, so it may not be related to the processed
+ASN1 object itself.
+
+=item B<EXFLAG_NO_FINGERPRINT>
+
+Failed to compute the internal SHA1 hash value of the certificate.
+This may be due to malloc failure or because no SHA1 implementation was found.
+
+=item B<EXFLAG_INVALID_POLICY>
+
+The NID_certificate_policies certificate extension is invalid or
+inconsistent. The certificate should be rejected.
+This bit may also be raised after an out-of-memory error while
+processing the X509 object, so it may not be related to the processed
+ASN1 object itself.
=item B<EXFLAG_KUSAGE>
@@ -183,7 +199,7 @@ X509_get_proxy_pathlen() were added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509v3_get_ext_by_NID.pod b/doc/man3/X509v3_get_ext_by_NID.pod
index c81d4636..67a7df58 100644
--- a/doc/man3/X509v3_get_ext_by_NID.pod
+++ b/doc/man3/X509v3_get_ext_by_NID.pod
@@ -71,7 +71,7 @@ the extension is found its index is returned otherwise B<-1> is returned.
X509v3_get_ext_by_critical() is similar to X509v3_get_ext_by_NID() except it
looks for an extension of criticality B<crit>. A zero value for B<crit>
-looks for a non-critical extension a non-zero value looks for a critical
+looks for a non-critical extension a nonzero value looks for a critical
extension.
X509v3_delete_ext() deletes the extension with index B<loc> from B<x>. The
@@ -132,7 +132,7 @@ L<X509V3_get_d2i(3)>
=head1 COPYRIGHT
-Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/d2i_DHparams.pod b/doc/man3/d2i_DHparams.pod
index d4e34fe8..5be0c298 100644
--- a/doc/man3/d2i_DHparams.pod
+++ b/doc/man3/d2i_DHparams.pod
@@ -8,7 +8,7 @@ d2i_DHparams, i2d_DHparams - PKCS#3 DH parameter functions
#include <openssl/dh.h>
- DH *d2i_DHparams(DH **a, unsigned char **pp, long length);
+ DH *d2i_DHparams(DH **a, const unsigned char **pp, long length);
int i2d_DHparams(DH *a, unsigned char **pp);
=head1 DESCRIPTION
@@ -32,7 +32,7 @@ L<d2i_X509(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/d2i_X509.pod b/doc/man3/d2i_X509.pod
index e36270f7..e42049d2 100644
--- a/doc/man3/d2i_X509.pod
+++ b/doc/man3/d2i_X509.pod
@@ -307,7 +307,6 @@ i2d_POLICYQUALINFO,
i2d_PROFESSION_INFO,
i2d_PROXY_CERT_INFO_EXTENSION,
i2d_PROXY_POLICY,
-i2d_PublicKey,
i2d_RSAPrivateKey,
i2d_RSAPrivateKey_bio,
i2d_RSAPrivateKey_fp,
@@ -366,7 +365,7 @@ i2d_X509_VAL,
=for comment generic
- TYPE *d2i_TYPE(TYPE **a, unsigned char **ppin, long length);
+ TYPE *d2i_TYPE(TYPE **a, const unsigned char **ppin, long length);
TYPE *d2i_TYPE_bio(BIO *bp, TYPE **a);
TYPE *d2i_TYPE_fp(FILE *fp, TYPE **a);
@@ -437,8 +436,8 @@ The actual TYPE structure passed to i2d_TYPE() must be a valid
populated B<TYPE> structure -- it B<cannot> simply be fed with an
empty structure such as that returned by TYPE_new().
-The encoded data is in binary form and may contain embedded zeroes.
-Therefore any FILE pointers or BIOs should be opened in binary mode.
+The encoded data is in binary form and may contain embedded zeros.
+Therefore, any FILE pointers or BIOs should be opened in binary mode.
Functions such as strlen() will B<not> return the correct length
of the encoded structure.
@@ -461,7 +460,7 @@ Represents an ASN1 OBJECT IDENTIFIER.
Represents a PKCS#3 DH parameters structure.
-=item B<DHparamx>
+=item B<DHxparams>
Represents an ANSI X9.42 DH parameters structure.
@@ -530,7 +529,8 @@ Allocate and encode the DER encoding of an X509 structure:
Attempt to decode a buffer:
X509 *x;
- unsigned char *buf, *p;
+ unsigned char *buf;
+ const unsigned char *p;
int len;
/* Set up buf and len to point to the input buffer. */
@@ -542,7 +542,8 @@ Attempt to decode a buffer:
Alternative technique:
X509 *x;
- unsigned char *buf, *p;
+ unsigned char *buf;
+ const unsigned char *p;
int len;
/* Set up buf and len to point to the input buffer. */
@@ -611,7 +612,7 @@ efficiency reasons.
=head1 COPYRIGHT
-Copyright 1998-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 1998-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man5/config.pod b/doc/man5/config.pod
index 992fdfcc..3cc2d73a 100644
--- a/doc/man5/config.pod
+++ b/doc/man5/config.pod
@@ -262,13 +262,11 @@ Example of a configuration with the system default:
ssl_conf = ssl_sect
[ssl_sect]
-
system_default = system_default_sect
[system_default_sect]
-
MinProtocol = TLSv1.2
-
+ MinProtocol = DTLSv1.2
=head1 NOTES
@@ -355,6 +353,27 @@ Simple OpenSSL library configuration example to enter FIPS mode:
Note: in the above example you will get an error in non FIPS capable versions
of OpenSSL.
+Simple OpenSSL library configuration to make TLS 1.2 and DTLS 1.2 the
+system-default minimum TLS and DTLS versions, respectively:
+
+ # Toplevel section for openssl (including libssl)
+ openssl_conf = default_conf_section
+
+ [default_conf_section]
+ # We only specify configuration for the "ssl module"
+ ssl_conf = ssl_section
+
+ [ssl_section]
+ system_default = system_default_section
+
+ [system_default_section]
+ MinProtocol = TLSv1.2
+ MinProtocol = DTLSv1.2
+
+The minimum TLS protocol is applied to B<SSL_CTX> objects that are TLS-based,
+and the minimum DTLS protocol to those are DTLS-based.
+The same applies also to maximum versions set with B<MaxProtocol>.
+
More complex OpenSSL library configuration. Add OID and don't enter FIPS mode:
# Default appname: should match "appname" parameter (if any)
@@ -416,7 +435,7 @@ the value.
The escaping isn't quite right: if you want to use sequences like B<\n>
you can't use any quote escaping on the same line.
-Files are loaded in a single pass. This means that an variable expansion
+Files are loaded in a single pass. This means that a variable expansion
will only work if the variables referenced are defined earlier in the
file.
@@ -426,7 +445,7 @@ L<x509(1)>, L<req(1)>, L<ca(1)>
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man5/x509v3_config.pod b/doc/man5/x509v3_config.pod
index 803b12b3..5c0caa5b 100644
--- a/doc/man5/x509v3_config.pod
+++ b/doc/man5/x509v3_config.pod
@@ -60,8 +60,8 @@ The following sections describe each supported extension in detail.
This is a multi valued extension which indicates whether a certificate is
a CA certificate. The first (mandatory) name is B<CA> followed by B<TRUE> or
-B<FALSE>. If B<CA> is B<TRUE> then an optional B<pathlen> name followed by an
-non-negative value can be included.
+B<FALSE>. If B<CA> is B<TRUE> then an optional B<pathlen> name followed by a
+nonnegative value can be included.
For example:
@@ -534,7 +534,7 @@ L<ASN1_generate_nconf(3)>
=head1 COPYRIGHT
-Copyright 2004-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2004-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/Ed25519.pod b/doc/man7/Ed25519.pod
index 6442e0ea..8ab4fff7 100644
--- a/doc/man7/Ed25519.pod
+++ b/doc/man7/Ed25519.pod
@@ -11,7 +11,7 @@ Ed448
The B<Ed25519> and B<Ed448> EVP_PKEY implementation supports key generation,
one-shot digest sign and digest verify using PureEdDSA and B<Ed25519> or B<Ed448>
(see RFC8032). It has associated private and public key formats compatible with
-draft-ietf-curdle-pkix-04.
+RFC 8410.
No additional parameters can be set during key generation, one-shot signing or
verification. In particular, because PureEdDSA is used, a digest must B<NOT> be
@@ -77,7 +77,7 @@ L<EVP_DigestVerifyInit(3)>,
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/SM2.pod b/doc/man7/SM2.pod
index c8fceffa..43786749 100644
--- a/doc/man7/SM2.pod
+++ b/doc/man7/SM2.pod
@@ -33,7 +33,7 @@ Then an ID should be set by calling:
EVP_PKEY_CTX_set1_id(pctx, id, id_len);
When calling the EVP_DigestSignInit() or EVP_DigestVerifyInit() functions, a
-pre-allocated B<EVP_PKEY_CTX> should be assigned to the B<EVP_MD_CTX>. This is
+preallocated B<EVP_PKEY_CTX> should be assigned to the B<EVP_MD_CTX>. This is
done by calling:
EVP_MD_CTX_set_pkey_ctx(mctx, pctx);
@@ -69,7 +69,7 @@ L<EVP_MD_CTX_set_pkey_ctx(3)>
=head1 COPYRIGHT
-Copyright 2018-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/X25519.pod b/doc/man7/X25519.pod
index 4851f8a1..6f153cb4 100644
--- a/doc/man7/X25519.pod
+++ b/doc/man7/X25519.pod
@@ -10,7 +10,7 @@ X448
The B<X25519> and B<X448> EVP_PKEY implementation supports key generation and
key derivation using B<X25519> and B<X448>. It has associated private and public
-key formats compatible with draft-ietf-curdle-pkix-03.
+key formats compatible with RFC 8410.
No additional parameters can be set during key generation.
@@ -64,7 +64,7 @@ L<EVP_PKEY_derive_set_peer(3)>
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/evp.pod b/doc/man7/evp.pod
index e493dacd..fd8d6c7f 100644
--- a/doc/man7/evp.pod
+++ b/doc/man7/evp.pod
@@ -25,7 +25,7 @@ functions.
Symmetric encryption is available with the L<B<EVP_Encrypt>I<XXX>|EVP_EncryptInit(3)>
functions. The L<B<EVP_Digest>I<XXX>|EVP_DigestInit(3)> functions provide message digests.
-The B<EVP_PKEY>I<XXX> functions provide a high level interface to
+The B<EVP_PKEY>I<XXX> functions provide a high-level interface to
asymmetric algorithms. To create a new EVP_PKEY see
L<EVP_PKEY_new(3)>. EVP_PKEYs can be associated
with a private key of a particular algorithm by using the functions
@@ -43,7 +43,7 @@ The EVP_PKEY functions support the full range of asymmetric algorithm operations
=item For signing and verifying see L<EVP_PKEY_sign(3)>,
L<EVP_PKEY_verify(3)> and L<EVP_PKEY_verify_recover(3)>.
However, note that
-these functions do not perform a digest of the data to be signed. Therefore
+these functions do not perform a digest of the data to be signed. Therefore,
normally you would use the L<EVP_DigestSignInit(3)>
functions for this purpose.
@@ -72,12 +72,12 @@ as defaults, then the various EVP functions will automatically use those
implementations automatically in preference to built in software
implementations. For more information, consult the engine(3) man page.
-Although low level algorithm specific functions exist for many algorithms
+Although low-level algorithm specific functions exist for many algorithms
their use is discouraged. They cannot be used with an ENGINE and ENGINE
-versions of new algorithms cannot be accessed using the low level functions.
+versions of new algorithms cannot be accessed using the low-level functions.
Also makes code harder to adapt to new algorithms and some options are not
-cleanly supported at the low level and some operations are more efficient
-using the high level interface.
+cleanly supported at the low-level and some operations are more efficient
+using the high-level interface.
=head1 SEE ALSO
@@ -104,7 +104,7 @@ L<ENGINE_by_id(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/ossl_store.pod b/doc/man7/ossl_store.pod
index 6e75abd3..b7061968 100644
--- a/doc/man7/ossl_store.pod
+++ b/doc/man7/ossl_store.pod
@@ -15,7 +15,7 @@ ossl_store - Store retrieval functions
=head2 General
A STORE is a layer of functionality to retrieve a number of supported
-objects from a repository of any kind, addressable as a file name or
+objects from a repository of any kind, addressable as a filename or
as a URI.
The functionality supports the pattern "open a channel to the
@@ -77,7 +77,7 @@ L<OSSL_STORE_SEARCH(3)>
=head1 COPYRIGHT
-Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/passphrase-encoding.pod b/doc/man7/passphrase-encoding.pod
index 68108445..19dcef9a 100644
--- a/doc/man7/passphrase-encoding.pod
+++ b/doc/man7/passphrase-encoding.pod
@@ -65,7 +65,7 @@ A pass phrase encoded in ISO-8859-2 could very well have a sequence such as
0xC3 0xAF (which is the two characters "LATIN CAPITAL LETTER A WITH BREVE"
and "LATIN CAPITAL LETTER Z WITH DOT ABOVE" in ISO-8859-2 encoding), but would
be misinterpreted as the perfectly valid UTF-8 encoded code point U+00EF (LATIN
-SMALL LETTER I WITH DIARESIS) I<if the pass phrase doesn't contain anything that
+SMALL LETTER I WITH DIAERESIS) I<if the pass phrase doesn't contain anything that
would be invalid UTF-8>.
A pass phrase that contains this kind of byte sequence will give a different
outcome in OpenSSL 1.1.0 and newer than in OpenSSL older than 1.1.0.
@@ -170,7 +170,7 @@ L<d2i_PKCS8PrivateKey_bio(3)>
=head1 COPYRIGHT
-Copyright 2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2018-2020 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/proxy-certificates.pod b/doc/man7/proxy-certificates.pod
new file mode 100644
index 00000000..df5ee1b4
--- /dev/null
+++ b/doc/man7/proxy-certificates.pod
@@ -0,0 +1,363 @@
+=pod
+
+=encoding UTF-8
+
+=head1 NAME
+
+proxy-certificates - Proxy certificates in OpenSSL
+
+=head1 DESCRIPTION
+
+Proxy certificates are defined in RFC 3820. They are used to
+extend rights to some other entity (a computer process, typically, or
+sometimes to the user itself). This allows the entity to perform
+operations on behalf of the owner of the EE (End Entity) certificate.
+
+The requirements for a valid proxy certificate are:
+
+=over 4
+
+=item *
+
+They are issued by an End Entity, either a normal EE certificate, or
+another proxy certificate.
+
+=item *
+
+They must not have the B<subjectAltName> or B<issuerAltName>
+extensions.
+
+=item *
+
+They must have the B<proxyCertInfo> extension.
+
+=item *
+
+They must have the subject of their issuer, with one B<commonName>
+added.
+
+=back
+
+=head2 Enabling proxy certificate verification
+
+OpenSSL expects applications that want to use proxy certificates to be
+specially aware of them, and make that explicit. This is done by
+setting an X509 verification flag:
+
+ X509_STORE_CTX_set_flags(ctx, X509_V_FLAG_ALLOW_PROXY_CERTS);
+
+or
+
+ X509_VERIFY_PARAM_set_flags(param, X509_V_FLAG_ALLOW_PROXY_CERTS);
+
+See L</NOTES> for a discussion on this requirement.
+
+=head2 Creating proxy certificates
+
+Creating proxy certificates can be done using the L<openssl-x509(1)>
+command, with some extra extensions:
+
+ [ v3_proxy ]
+ # A proxy certificate MUST NEVER be a CA certificate.
+ basicConstraints=CA:FALSE
+
+ # Usual authority key ID
+ authorityKeyIdentifier=keyid,issuer:always
+
+ # The extension which marks this certificate as a proxy
+ proxyCertInfo=critical,language:id-ppl-anyLanguage,pathlen:1,policy:text:AB
+
+It's also possible to specify the proxy extension in a separate section:
+
+ proxyCertInfo=critical,@proxy_ext
+
+ [ proxy_ext ]
+ language=id-ppl-anyLanguage
+ pathlen=0
+ policy=text:BC
+
+The policy value has a specific syntax, I<syntag>:I<string>, where the
+I<syntag> determines what will be done with the string. The following
+I<syntag>s are recognised:
+
+=over 4
+
+=item B<text>
+
+indicates that the string is a byte sequence, without any encoding:
+
+ policy=text:räksmörgås
+
+=item B<hex>
+
+indicates the string is encoded hexadecimal encoded binary data, with
+colons between each byte (every second hex digit):
+
+ policy=hex:72:E4:6B:73:6D:F6:72:67:E5:73
+
+=item B<file>
+
+indicates that the text of the policy should be taken from a file.
+The string is then a filename. This is useful for policies that are
+large (more than a few lines, e.g. XML documents).
+
+=back
+
+I<NOTE: The proxy policy value is what determines the rights granted
+to the process during the proxy certificate. It's up to the
+application to interpret and combine these policies.>
+
+With a proxy extension, creating a proxy certificate is a matter of
+two commands:
+
+ openssl req -new -config proxy.cnf \
+ -out proxy.req -keyout proxy.key \
+ -subj "/DC=org/DC=openssl/DC=users/CN=proxy 1"
+
+ openssl x509 -req -CAcreateserial -in proxy.req -out proxy.crt \
+ -CA user.crt -CAkey user.key -days 7 \
+ -extfile proxy.cnf -extensions v3_proxy1
+
+You can also create a proxy certificate using another proxy
+certificate as issuer (note: using a different configuration
+section for the proxy extensions):
+
+ openssl req -new -config proxy.cnf \
+ -out proxy2.req -keyout proxy2.key \
+ -subj "/DC=org/DC=openssl/DC=users/CN=proxy 1/CN=proxy 2"
+
+ openssl x509 -req -CAcreateserial -in proxy2.req -out proxy2.crt \
+ -CA proxy.crt -CAkey proxy.key -days 7 \
+ -extfile proxy.cnf -extensions v3_proxy2
+
+=head2 Using proxy certs in applications
+
+To interpret proxy policies, the application would normally start with
+some default rights (perhaps none at all), then compute the resulting
+rights by checking the rights against the chain of proxy certificates,
+user certificate and CA certificates.
+
+The complicated part is figuring out how to pass data between your
+application and the certificate validation procedure.
+
+The following ingredients are needed for such processing:
+
+=over 4
+
+=item *
+
+a callback function that will be called for every certificate being
+validated. The callback is called several times for each certificate,
+so you must be careful to do the proxy policy interpretation at the
+right time. You also need to fill in the defaults when the EE
+certificate is checked.
+
+=item *
+
+a data structure that is shared between your application code and the
+callback.
+
+=item *
+
+a wrapper function that sets it all up.
+
+=item *
+
+an ex_data index function that creates an index into the generic
+ex_data store that is attached to an X509 validation context.
+
+=back
+
+The following skeleton code can be used as a starting point:
+
+ #include <string.h>
+ #include <netdb.h>
+ #include <openssl/x509.h>
+ #include <openssl/x509v3.h>
+
+ #define total_rights 25
+
+ /*
+ * In this example, I will use a view of granted rights as a bit
+ * array, one bit for each possible right.
+ */
+ typedef struct your_rights {
+ unsigned char rights[(total_rights + 7) / 8];
+ } YOUR_RIGHTS;
+
+ /*
+ * The following procedure will create an index for the ex_data
+ * store in the X509 validation context the first time it's
+ * called. Subsequent calls will return the same index.
+ */
+ static int get_proxy_auth_ex_data_idx(X509_STORE_CTX *ctx)
+ {
+ static volatile int idx = -1;
+
+ if (idx < 0) {
+ X509_STORE_lock(X509_STORE_CTX_get0_store(ctx));
+ if (idx < 0) {
+ idx = X509_STORE_CTX_get_ex_new_index(0,
+ "for verify callback",
+ NULL,NULL,NULL);
+ }
+ X509_STORE_unlock(X509_STORE_CTX_get0_store(ctx));
+ }
+ return idx;
+ }
+
+ /* Callback to be given to the X509 validation procedure. */
+ static int verify_callback(int ok, X509_STORE_CTX *ctx)
+ {
+ if (ok == 1) {
+ /*
+ * It's REALLY important you keep the proxy policy check
+ * within this section. It's important to know that when
+ * ok is 1, the certificates are checked from top to
+ * bottom. You get the CA root first, followed by the
+ * possible chain of intermediate CAs, followed by the EE
+ * certificate, followed by the possible proxy
+ * certificates.
+ */
+ X509 *xs = X509_STORE_CTX_get_current_cert(ctx);
+
+ if (X509_get_extension_flags(xs) & EXFLAG_PROXY) {
+ YOUR_RIGHTS *rights =
+ (YOUR_RIGHTS *)X509_STORE_CTX_get_ex_data(ctx,
+ get_proxy_auth_ex_data_idx(ctx));
+ PROXY_CERT_INFO_EXTENSION *pci =
+ X509_get_ext_d2i(xs, NID_proxyCertInfo, NULL, NULL);
+
+ switch (OBJ_obj2nid(pci->proxyPolicy->policyLanguage)) {
+ case NID_Independent:
+ /*
+ * Do whatever you need to grant explicit rights
+ * to this particular proxy certificate, usually
+ * by pulling them from some database. If there
+ * are none to be found, clear all rights (making
+ * this and any subsequent proxy certificate void
+ * of any rights).
+ */
+ memset(rights->rights, 0, sizeof(rights->rights));
+ break;
+ case NID_id_ppl_inheritAll:
+ /*
+ * This is basically a NOP, we simply let the
+ * current rights stand as they are.
+ */
+ break;
+ default:
+ /*
+ * This is usually the most complex section of
+ * code. You really do whatever you want as long
+ * as you follow RFC 3820. In the example we use
+ * here, the simplest thing to do is to build
+ * another, temporary bit array and fill it with
+ * the rights granted by the current proxy
+ * certificate, then use it as a mask on the
+ * accumulated rights bit array, and voilà , you
+ * now have a new accumulated rights bit array.
+ */
+ {
+ int i;
+ YOUR_RIGHTS tmp_rights;
+ memset(tmp_rights.rights, 0,
+ sizeof(tmp_rights.rights));
+
+ /*
+ * process_rights() is supposed to be a
+ * procedure that takes a string and its
+ * length, interprets it and sets the bits
+ * in the YOUR_RIGHTS pointed at by the
+ * third argument.
+ */
+ process_rights((char *) pci->proxyPolicy->policy->data,
+ pci->proxyPolicy->policy->length,
+ &tmp_rights);
+
+ for(i = 0; i < total_rights / 8; i++)
+ rights->rights[i] &= tmp_rights.rights[i];
+ }
+ break;
+ }
+ PROXY_CERT_INFO_EXTENSION_free(pci);
+ } else if (!(X509_get_extension_flags(xs) & EXFLAG_CA)) {
+ /* We have an EE certificate, let's use it to set default! */
+ YOUR_RIGHTS *rights =
+ (YOUR_RIGHTS *)X509_STORE_CTX_get_ex_data(ctx,
+ get_proxy_auth_ex_data_idx(ctx));
+
+ /*
+ * The following procedure finds out what rights the
+ * owner of the current certificate has, and sets them
+ * in the YOUR_RIGHTS structure pointed at by the
+ * second argument.
+ */
+ set_default_rights(xs, rights);
+ }
+ }
+ return ok;
+ }
+
+ static int my_X509_verify_cert(X509_STORE_CTX *ctx,
+ YOUR_RIGHTS *needed_rights)
+ {
+ int ok;
+ int (*save_verify_cb)(int ok,X509_STORE_CTX *ctx) =
+ X509_STORE_CTX_get_verify_cb(ctx);
+ YOUR_RIGHTS rights;
+
+ X509_STORE_CTX_set_verify_cb(ctx, verify_callback);
+ X509_STORE_CTX_set_ex_data(ctx, get_proxy_auth_ex_data_idx(ctx),
+ &rights);
+ X509_STORE_CTX_set_flags(ctx, X509_V_FLAG_ALLOW_PROXY_CERTS);
+ ok = X509_verify_cert(ctx);
+
+ if (ok == 1) {
+ ok = check_needed_rights(rights, needed_rights);
+ }
+
+ X509_STORE_CTX_set_verify_cb(ctx, save_verify_cb);
+
+ return ok;
+ }
+
+If you use SSL or TLS, you can easily set up a callback to have the
+certificates checked properly, using the code above:
+
+ SSL_CTX_set_cert_verify_callback(s_ctx, my_X509_verify_cert,
+ &needed_rights);
+
+=head1 NOTES
+
+To this date, it seems that proxy certificates have only been used in
+environments that are aware of them, and no one seems to have
+investigated how they can be used or misused outside of such an
+environment.
+
+For that reason, OpenSSL requires that applications aware of proxy
+certificates must also make that explicit.
+
+B<subjectAltName> and B<issuerAltName> are forbidden in proxy
+certificates, and this is enforced in OpenSSL. The subject must be
+the same as the issuer, with one commonName added on.
+
+=head1 SEE ALSO
+
+L<X509_STORE_CTX_set_flags(3)>,
+L<X509_STORE_CTX_set_verify_cb(3)>,
+L<X509_VERIFY_PARAM_set_flags(3)>,
+L<SSL_CTX_set_cert_verify_callback(3)>,
+L<openssl-req(1)>, L<openssl-x509(1)>,
+L<RFC 3820|https://tools.ietf.org/html/rfc3820>
+
+=head1 COPYRIGHT
+
+Copyright 2019 The OpenSSL Project Authors. All Rights Reserved.
+
+Licensed under the Apache License 2.0 (the "License"). You may not use
+this file except in compliance with the License. You can obtain a copy
+in the file LICENSE in the source distribution or at
+L<https://www.openssl.org/source/license.html>.
+
+=cut
diff --git a/e_os.h b/e_os.h
index 858bc40c..9af7f375 100644
--- a/e_os.h
+++ b/e_os.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_E_OS_H
-# define HEADER_E_OS_H
+#ifndef OSSL_E_OS_H
+# define OSSL_E_OS_H
# include <limits.h>
# include <openssl/opensslconf.h>
@@ -42,7 +42,7 @@
# endif
/*
* Some operating systems do not permit select(2) on their random devices,
- * defining this to zero will force the used of read(2) to extract one byte
+ * defining this to zero will force the use of read(2) to extract one byte
* from /dev/random.
*/
# ifndef DEVRANDM_WAIT_USE_SELECT
@@ -308,7 +308,7 @@ extern FILE *_imp___iob;
# if defined(OPENSSL_SYS_WINDOWS)
# define strcasecmp _stricmp
# define strncasecmp _strnicmp
-# if (_MSC_VER >= 1310)
+# if (_MSC_VER >= 1310) && !defined(_WIN32_WCE)
# define open _open
# define fdopen _fdopen
# define close _close
diff --git a/engines/e_afalg.c b/engines/e_afalg.c
index 7f62d77e..4b172284 100644
--- a/engines/e_afalg.c
+++ b/engines/e_afalg.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -456,7 +456,7 @@ static int afalg_start_cipher_sk(afalg_ctx *actx, const unsigned char *in,
/*
* vmsplice and splice are used to pin the user space input buffer for
- * kernel space processing avoiding copys from user to kernel space
+ * kernel space processing avoiding copies from user to kernel space
*/
ret = vmsplice(actx->zc_pipe[1], &iov, 1, SPLICE_F_GIFT);
if (ret < 0) {
diff --git a/engines/e_afalg.h b/engines/e_afalg.h
index 2c03c448..3323c898 100644
--- a/engines/e_afalg.h
+++ b/engines/e_afalg.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_AFALG_H
-# define HEADER_AFALG_H
+#ifndef OSSL_ENGINES_E_AFALG_H
+# define OSSL_ENGINES_E_AFALG_H
# if defined(__GNUC__) && __GNUC__ >= 4 && \
(!defined(__STDC_VERSION__) || __STDC_VERSION__ < 199901L)
diff --git a/engines/e_afalg_err.h b/engines/e_afalg_err.h
index 3eb1332b..3036443f 100644
--- a/engines/e_afalg_err.h
+++ b/engines/e_afalg_err.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_AFALGERR_H
-# define HEADER_AFALGERR_H
+#ifndef OSSL_ENGINES_E_AFALG_ERR_H
+# define OSSL_ENGINES_E_AFALG_ERR_H
# define AFALGerr(f, r) ERR_AFALG_error((f), (r), OPENSSL_FILE, OPENSSL_LINE)
diff --git a/engines/e_capi_err.h b/engines/e_capi_err.h
index e034c98c..e3a927aa 100644
--- a/engines/e_capi_err.h
+++ b/engines/e_capi_err.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_CAPIERR_H
-# define HEADER_CAPIERR_H
+#ifndef OSSL_ENGINES_E_CAPI_ERR_H
+# define OSSL_ENGINES_E_CAPI_ERR_H
# define CAPIerr(f, r) ERR_CAPI_error((f), (r), OPENSSL_FILE, OPENSSL_LINE)
diff --git a/engines/e_dasync_err.h b/engines/e_dasync_err.h
index 7c2c0278..5b74d8be 100644
--- a/engines/e_dasync_err.h
+++ b/engines/e_dasync_err.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_DASYNCERR_H
-# define HEADER_DASYNCERR_H
+#ifndef OSSL_ENGINES_E_DASYNC_ERR_H
+# define OSSL_ENGINES_E_DASYNC_ERR_H
# define DASYNCerr(f, r) ERR_DASYNC_error((f), (r), OPENSSL_FILE, OPENSSL_LINE)
diff --git a/engines/e_ossltest_err.h b/engines/e_ossltest_err.h
index e745c1a2..8e6535b7 100644
--- a/engines/e_ossltest_err.h
+++ b/engines/e_ossltest_err.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_OSSLTESTERR_H
-# define HEADER_OSSLTESTERR_H
+#ifndef OSSL_ENGINES_E_OSSLTEST_ERR_H
+# define OSSL_ENGINES_E_OSSLTEST_ERR_H
# define OSSLTESTerr(f, r) ERR_OSSLTEST_error((f), (r), OPENSSL_FILE, OPENSSL_LINE)
diff --git a/fuzz/asn1.c b/fuzz/asn1.c
index fd2271bf..9fa5f20b 100644
--- a/fuzz/asn1.c
+++ b/fuzz/asn1.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL licenses, (the "License");
* you may not use this file except in compliance with the License.
@@ -20,6 +20,7 @@
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/dh.h>
+#include <openssl/dsa.h>
#include <openssl/ec.h>
#include <openssl/ocsp.h>
#include <openssl/pkcs12.h>
diff --git a/fuzz/x509.c b/fuzz/x509.c
index 926287da..1a20ca21 100644
--- a/fuzz/x509.c
+++ b/fuzz/x509.c
@@ -37,6 +37,8 @@ int FuzzerTestOneInput(const uint8_t *buf, size_t len)
X509_print(bio, x509);
BIO_free(bio);
+ X509_issuer_and_serial_hash(x509);
+
i2d_X509(x509, &der);
OPENSSL_free(der);
diff --git a/crypto/include/internal/__DECC_INCLUDE_EPILOGUE.H b/include/crypto/__DECC_INCLUDE_EPILOGUE.H
similarity index 100%
rename from crypto/include/internal/__DECC_INCLUDE_EPILOGUE.H
rename to include/crypto/__DECC_INCLUDE_EPILOGUE.H
diff --git a/crypto/include/internal/__DECC_INCLUDE_PROLOGUE.H b/include/crypto/__DECC_INCLUDE_PROLOGUE.H
similarity index 100%
rename from crypto/include/internal/__DECC_INCLUDE_PROLOGUE.H
rename to include/crypto/__DECC_INCLUDE_PROLOGUE.H
diff --git a/crypto/include/internal/aria.h b/include/crypto/aria.h
similarity index 96%
rename from crypto/include/internal/aria.h
rename to include/crypto/aria.h
index 355abe53..03a62950 100644
--- a/crypto/include/internal/aria.h
+++ b/include/crypto/aria.h
@@ -10,8 +10,8 @@
/* Copyright (c) 2017 National Security Research Institute. All rights reserved. */
-#ifndef HEADER_ARIA_H
-# define HEADER_ARIA_H
+#ifndef OSSL_CRYPTO_ARIA_H
+# define OSSL_CRYPTO_ARIA_H
# include <openssl/opensslconf.h>
diff --git a/crypto/include/internal/asn1_int.h b/include/crypto/asn1.h
similarity index 100%
rename from crypto/include/internal/asn1_int.h
rename to include/crypto/asn1.h
diff --git a/crypto/include/internal/async.h b/include/crypto/async.h
similarity index 100%
rename from crypto/include/internal/async.h
rename to include/crypto/async.h
diff --git a/crypto/include/internal/bn_int.h b/include/crypto/bn.h
similarity index 98%
rename from crypto/include/internal/bn_int.h
rename to include/crypto/bn.h
index 30be7efe..60afda1d 100644
--- a/crypto/include/internal/bn_int.h
+++ b/include/crypto/bn.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_BN_INT_H
-# define HEADER_BN_INT_H
+#ifndef OSSL_CRYPTO_BN_H
+# define OSSL_CRYPTO_BN_H
# include <openssl/bn.h>
# include <limits.h>
diff --git a/crypto/include/internal/bn_conf.h.in b/include/crypto/bn_conf.h.in
similarity index 93%
rename from crypto/include/internal/bn_conf.h.in
rename to include/crypto/bn_conf.h.in
index ec6e4f6c..b6b9eb74 100644
--- a/crypto/include/internal/bn_conf.h.in
+++ b/include/crypto/bn_conf.h.in
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_BN_CONF_H
-# define HEADER_BN_CONF_H
+#ifndef OSSL_CRYPTO_BN_CONF_H
+# define OSSL_CRYPTO_BN_CONF_H
/*
* The contents of this file are not used in the UEFI build, as
diff --git a/crypto/include/internal/bn_dh.h b/include/crypto/bn_dh.h
similarity index 100%
rename from crypto/include/internal/bn_dh.h
rename to include/crypto/bn_dh.h
diff --git a/crypto/include/internal/bn_srp.h b/include/crypto/bn_srp.h
similarity index 100%
rename from crypto/include/internal/bn_srp.h
rename to include/crypto/bn_srp.h
diff --git a/crypto/include/internal/chacha.h b/include/crypto/chacha.h
similarity index 96%
rename from crypto/include/internal/chacha.h
rename to include/crypto/chacha.h
index 67243f22..4029400a 100644
--- a/crypto/include/internal/chacha.h
+++ b/include/crypto/chacha.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_CHACHA_H
-#define HEADER_CHACHA_H
+#ifndef OSSL_CRYPTO_CHACHA_H
+#define OSSL_CRYPTO_CHACHA_H
#include <stddef.h>
diff --git a/crypto/include/internal/cryptlib_int.h b/include/crypto/cryptlib.h
similarity index 100%
rename from crypto/include/internal/cryptlib_int.h
rename to include/crypto/cryptlib.h
diff --git a/crypto/include/internal/ctype.h b/include/crypto/ctype.h
similarity index 98%
rename from crypto/include/internal/ctype.h
rename to include/crypto/ctype.h
index 9f3a5833..81ef8f5c 100644
--- a/crypto/include/internal/ctype.h
+++ b/include/crypto/ctype.h
@@ -18,8 +18,8 @@
* throughout the rest of the source code. Refer to issue #4154 for
* details.
*/
-#ifndef INTERNAL_CTYPE_H
-# define INTERNAL_CTYPE_H
+#ifndef OSSL_CRYPTO_CTYPE_H
+# define OSSL_CRYPTO_CTYPE_H
# define CTYPE_MASK_lower 0x1
# define CTYPE_MASK_upper 0x2
diff --git a/crypto/include/internal/dso_conf.h.in b/include/crypto/dso_conf.h.in
similarity index 90%
rename from crypto/include/internal/dso_conf.h.in
rename to include/crypto/dso_conf.h.in
index 2a76818b..57a09b10 100644
--- a/crypto/include/internal/dso_conf.h.in
+++ b/include/crypto/dso_conf.h.in
@@ -8,15 +8,15 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_DSO_CONF_H
-# define HEADER_DSO_CONF_H
+#ifndef OSSL_CRYPTO_DSO_CONF_H
+# define OSSL_CRYPTO_DSO_CONF_H
{- # The DSO code currently always implements all functions so that no
# applications will have to worry about that from a compilation point
# of view. However, the "method"s may return zero unless that platform
# has support compiled in for them. Currently each method is enabled
# by a define "DSO_<name>" ... we translate the "dso_scheme" config
# string entry into using the following logic;
- my $scheme = uc $target{dso_scheme};
+ my $scheme = $disabled{dso} ? undef : uc $target{dso_scheme};
if (!$scheme) {
$scheme = "NONE";
}
diff --git a/crypto/include/internal/ec_int.h b/include/crypto/ec.h
similarity index 96%
rename from crypto/include/internal/ec_int.h
rename to include/crypto/ec.h
index 182c39cc..fe52ae70 100644
--- a/crypto/include/internal/ec_int.h
+++ b/include/crypto/ec.h
@@ -9,8 +9,8 @@
/* Internal EC functions for other submodules: not for application use */
-#ifndef HEADER_OSSL_EC_INTERNAL_H
-# define HEADER_OSSL_EC_INTERNAL_H
+#ifndef OSSL_CRYPTO_EC_H
+# define OSSL_CRYPTO_EC_H
# include <openssl/opensslconf.h>
# ifndef OPENSSL_NO_EC
diff --git a/crypto/include/internal/engine.h b/include/crypto/engine.h
similarity index 100%
rename from crypto/include/internal/engine.h
rename to include/crypto/engine.h
diff --git a/crypto/include/internal/err_int.h b/include/crypto/err.h
similarity index 90%
rename from crypto/include/internal/err_int.h
rename to include/crypto/err.h
index 44ac9446..8ab0e5ba 100644
--- a/crypto/include/internal/err_int.h
+++ b/include/crypto/err.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef INTERNAL_ERR_INT_H
-# define INTERNAL_ERR_INT_H
+#ifndef OSSL_CRYPTO_ERR_H
+# define OSSL_CRYPTO_ERR_H
int err_load_crypto_strings_int(void);
void err_cleanup(void);
diff --git a/crypto/include/internal/evp_int.h b/include/crypto/evp.h
similarity index 100%
rename from crypto/include/internal/evp_int.h
rename to include/crypto/evp.h
diff --git a/crypto/include/internal/lhash.h b/include/crypto/lhash.h
similarity index 87%
rename from crypto/include/internal/lhash.h
rename to include/crypto/lhash.h
index 200ba868..ab060cce 100644
--- a/crypto/include/internal/lhash.h
+++ b/include/crypto/lhash.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef INTERNAL_LHASH_H
-# define INTERNAL_LHASH_H
+#ifndef OSSL_CRYPTO_LHASH_H
+# define OSSL_CRYPTO_LHASH_H
unsigned long openssl_lh_strcasehash(const char *);
diff --git a/crypto/include/internal/md32_common.h b/include/crypto/md32_common.h
similarity index 100%
rename from crypto/include/internal/md32_common.h
rename to include/crypto/md32_common.h
diff --git a/crypto/include/internal/objects.h b/include/crypto/objects.h
similarity index 100%
rename from crypto/include/internal/objects.h
rename to include/crypto/objects.h
diff --git a/crypto/include/internal/poly1305.h b/include/crypto/poly1305.h
similarity index 100%
rename from crypto/include/internal/poly1305.h
rename to include/crypto/poly1305.h
diff --git a/crypto/include/internal/rand_int.h b/include/crypto/rand.h
similarity index 98%
rename from crypto/include/internal/rand_int.h
rename to include/crypto/rand.h
index 10347ab0..5350d3a9 100644
--- a/crypto/include/internal/rand_int.h
+++ b/include/crypto/rand.h
@@ -15,8 +15,8 @@
* or in the file LICENSE in the source distribution.
*/
-#ifndef HEADER_RAND_INT_H
-# define HEADER_RAND_INT_H
+#ifndef OSSL_CRYPTO_RAND_H
+# define OSSL_CRYPTO_RAND_H
# include <openssl/rand.h>
diff --git a/crypto/include/internal/sha.h b/include/crypto/sha.h
similarity index 89%
rename from crypto/include/internal/sha.h
rename to include/crypto/sha.h
index 458a75e8..6d15edb9 100644
--- a/crypto/include/internal/sha.h
+++ b/include/crypto/sha.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_INTERNAL_SHA_H
-# define HEADER_INTERNAL_SHA_H
+#ifndef OSSL_CRYPTO_SHA_H
+# define OSSL_CRYPTO_SHA_H
# include <openssl/opensslconf.h>
diff --git a/crypto/include/internal/siphash.h b/include/crypto/siphash.h
similarity index 100%
rename from crypto/include/internal/siphash.h
rename to include/crypto/siphash.h
diff --git a/crypto/include/internal/sm2.h b/include/crypto/sm2.h
similarity index 97%
rename from crypto/include/internal/sm2.h
rename to include/crypto/sm2.h
index 5c5cd4b4..76ee80ba 100644
--- a/crypto/include/internal/sm2.h
+++ b/include/crypto/sm2.h
@@ -9,8 +9,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SM2_H
-# define HEADER_SM2_H
+#ifndef OSSL_CRYPTO_SM2_H
+# define OSSL_CRYPTO_SM2_H
# include <openssl/opensslconf.h>
# ifndef OPENSSL_NO_SM2
diff --git a/crypto/include/internal/sm2err.h b/include/crypto/sm2err.h
similarity index 97%
rename from crypto/include/internal/sm2err.h
rename to include/crypto/sm2err.h
index 09edfab7..d1c0ee25 100644
--- a/crypto/include/internal/sm2err.h
+++ b/include/crypto/sm2err.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SM2ERR_H
-# define HEADER_SM2ERR_H
+#ifndef OSSL_CRYPTO_SM2ERR_H
+# define OSSL_CRYPTO_SM2ERR_H
# ifndef HEADER_SYMHACKS_H
# include <openssl/symhacks.h>
diff --git a/crypto/include/internal/sm3.h b/include/crypto/sm3.h
similarity index 94%
rename from crypto/include/internal/sm3.h
rename to include/crypto/sm3.h
index 27eb471c..97e74603 100644
--- a/crypto/include/internal/sm3.h
+++ b/include/crypto/sm3.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SM3_H
-# define HEADER_SM3_H
+#ifndef OSSL_CRYPTO_SM3_H
+# define OSSL_CRYPTO_SM3_H
# include <openssl/opensslconf.h>
diff --git a/crypto/include/internal/sm4.h b/include/crypto/sm4.h
similarity index 94%
rename from crypto/include/internal/sm4.h
rename to include/crypto/sm4.h
index f1f157ef..abe28f38 100644
--- a/crypto/include/internal/sm4.h
+++ b/include/crypto/sm4.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SM4_H
-# define HEADER_SM4_H
+#ifndef OSSL_CRYPTO_SM4_H
+# define OSSL_CRYPTO_SM4_H
# include <openssl/opensslconf.h>
# include <openssl/e_os2.h>
diff --git a/crypto/include/internal/store_int.h b/include/crypto/store.h
similarity index 82%
rename from crypto/include/internal/store_int.h
rename to include/crypto/store.h
index 6f31e019..428d3c60 100644
--- a/crypto/include/internal/store_int.h
+++ b/include/crypto/store.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_STORE_INT_H
-# define HEADER_STORE_INT_H
+#ifndef OSSL_CRYPTO_STORE_H
+# define OSSL_CRYPTO_STORE_H
# include <openssl/bio.h>
# include <openssl/store.h>
@@ -23,4 +23,6 @@ OSSL_STORE_CTX *ossl_store_attach_pem_bio(BIO *bp, const UI_METHOD *ui_method,
void *ui_data);
int ossl_store_detach_pem_bio(OSSL_STORE_CTX *ctx);
+void ossl_store_cleanup_int(void);
+
#endif
diff --git a/crypto/include/internal/x509_int.h b/include/crypto/x509.h
similarity index 100%
rename from crypto/include/internal/x509_int.h
rename to include/crypto/x509.h
diff --git a/include/internal/conf.h b/include/internal/conf.h
index 29bc9f96..163fea8d 100644
--- a/include/internal/conf.h
+++ b/include/internal/conf.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_INTERNAL_CONF_H
-# define HEADER_INTERNAL_CONF_H
+#ifndef OSSL_INTERNAL_CONF_H
+# define OSSL_INTERNAL_CONF_H
#include <openssl/conf.h>
diff --git a/include/internal/constant_time_locl.h b/include/internal/constant_time.h
similarity index 98%
rename from include/internal/constant_time_locl.h
rename to include/internal/constant_time.h
index 0193a653..6600a1d7 100644
--- a/include/internal/constant_time_locl.h
+++ b/include/internal/constant_time.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_CONSTANT_TIME_LOCL_H
-# define HEADER_CONSTANT_TIME_LOCL_H
+#ifndef OSSL_INTERNAL_CONSTANT_TIME_H
+# define OSSL_INTERNAL_CONSTANT_TIME_H
# include <stdlib.h>
# include <string.h>
@@ -384,4 +384,4 @@ static ossl_inline void constant_time_lookup(void *out,
*/
void err_clear_last_constant_time(int clear);
-#endif /* HEADER_CONSTANT_TIME_LOCL_H */
+#endif /* OSSL_INTERNAL_CONSTANT_TIME_H */
diff --git a/include/internal/cryptlib.h b/include/internal/cryptlib.h
index 23e17e55..6e7291ae 100644
--- a/include/internal/cryptlib.h
+++ b/include/internal/cryptlib.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_CRYPTLIB_H
-# define HEADER_CRYPTLIB_H
+#ifndef OSSL_INTERNAL_CRYPTLIB_H
+# define OSSL_INTERNAL_CRYPTLIB_H
# include <stdlib.h>
# include <string.h>
diff --git a/include/internal/dane.h b/include/internal/dane.h
index a1cb5488..7a39bd7d 100644
--- a/include/internal/dane.h
+++ b/include/internal/dane.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_INTERNAL_DANE_H
-#define HEADER_INTERNAL_DANE_H
+#ifndef OSSL_INTERNAL_DANE_H
+#define OSSL_INTERNAL_DANE_H
#include <openssl/safestack.h>
@@ -100,4 +100,4 @@ struct ssl_dane_st {
#define DANETLS_HAS_DANE_TA(dane) ((dane)&&((dane)->umask & DANETLS_DANE_TA_MASK))
#define DANETLS_HAS_DANE_EE(dane) ((dane)&&((dane)->umask & DANETLS_DANE_EE_MASK))
-#endif /* HEADER_INTERNAL_DANE_H */
+#endif /* OSSL_INTERNAL_DANE_H */
diff --git a/include/internal/dso.h b/include/internal/dso.h
index eb5f7d53..c57c0c40 100644
--- a/include/internal/dso.h
+++ b/include/internal/dso.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_DSO_H
-# define HEADER_DSO_H
+#ifndef OSSL_INTERNAL_DSO_H
+# define OSSL_INTERNAL_DSO_H
# include <openssl/crypto.h>
# include "internal/dsoerr.h"
diff --git a/include/internal/dsoerr.h b/include/internal/dsoerr.h
index 5f4511c4..94d642a2 100644
--- a/include/internal/dsoerr.h
+++ b/include/internal/dsoerr.h
@@ -8,8 +8,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_DSOERR_H
-# define HEADER_DSOERR_H
+#ifndef OSSL_INTERNAL_DSOERR_H
+# define OSSL_INTERNAL_DSOERR_H
# ifndef HEADER_SYMHACKS_H
# include <openssl/symhacks.h>
diff --git a/include/internal/err.h b/include/internal/err.h
index d46b8bdb..88dde705 100644
--- a/include/internal/err.h
+++ b/include/internal/err.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef INTERNAL_ERR_H
-# define INTERNAL_ERR_H
+#ifndef OSSL_INTERNAL_ERR_H
+# define OSSL_INTERNAL_ERR_H
void err_free_strings_int(void);
diff --git a/include/internal/nelem.h b/include/internal/nelem.h
index d65a21a9..699ef88e 100644
--- a/include/internal/nelem.h
+++ b/include/internal/nelem.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_NELEM_H
-# define HEADER_NELEM_H
+#ifndef OSSL_INTERNAL_NELEM_H
+# define OSSL_INTERNAL_NELEM_H
# define OSSL_NELEM(x) (sizeof(x)/sizeof((x)[0]))
#endif
diff --git a/include/internal/numbers.h b/include/internal/numbers.h
index 31931df3..f5ade522 100644
--- a/include/internal/numbers.h
+++ b/include/internal/numbers.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_NUMBERS_H
-# define HEADER_NUMBERS_H
+#ifndef OSSL_INTERNAL_NUMBERS_H
+# define OSSL_INTERNAL_NUMBERS_H
# include <limits.h>
diff --git a/include/internal/o_dir.h b/include/internal/o_dir.h
index e7b55e0c..dafc8dd2 100644
--- a/include/internal/o_dir.h
+++ b/include/internal/o_dir.h
@@ -36,8 +36,8 @@
* SUCH DAMAGE.
*/
-#ifndef O_DIR_H
-# define O_DIR_H
+#ifndef OSSL_INTERNAL_O_DIR_H
+# define OSSL_INTERNAL_O_DIR_H
typedef struct OPENSSL_dir_context_st OPENSSL_DIR_CTX;
diff --git a/include/internal/o_str.h b/include/internal/o_str.h
index 86403c9e..15c12e82 100644
--- a/include/internal/o_str.h
+++ b/include/internal/o_str.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_O_STR_H
-# define HEADER_O_STR_H
+#ifndef OSSL_INTERNAL_O_STR_H
+# define OSSL_INTERNAL_O_STR_H
# include <stddef.h> /* to get size_t */
diff --git a/include/internal/refcount.h b/include/internal/refcount.h
index 6e1a840e..8fb536ea 100644
--- a/include/internal/refcount.h
+++ b/include/internal/refcount.h
@@ -6,8 +6,8 @@
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_INTERNAL_REFCOUNT_H
-# define HEADER_INTERNAL_REFCOUNT_H
+#ifndef OSSL_INTERNAL_REFCOUNT_H
+# define OSSL_INTERNAL_REFCOUNT_H
/* Used to checking reference counts, most while doing perl5 stuff :-) */
# if defined(OPENSSL_NO_STDIO)
diff --git a/include/internal/sockets.h b/include/internal/sockets.h
index 5bb0355f..39186efe 100644
--- a/include/internal/sockets.h
+++ b/include/internal/sockets.h
@@ -8,8 +8,8 @@
*/
-#ifndef HEADER_INTERNAL_SOCKETS
-# define HEADER_INTERNAL_SOCKETS
+#ifndef OSSL_INTERNAL_SOCKETS_H
+# define OSSL_INTERNAL_SOCKETS_H
# if defined(OPENSSL_SYS_VXWORKS) || defined(OPENSSL_SYS_UEFI)
# define NO_SYS_PARAM_H
diff --git a/include/internal/sslconf.h b/include/internal/sslconf.h
index d538f861..92c8941d 100644
--- a/include/internal/sslconf.h
+++ b/include/internal/sslconf.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SSLCONF_H
-# define HEADER_SSLCONF_H
+#ifndef OSSL_INTERNAL_SSLCONF_H
+# define OSSL_INTERNAL_SSLCONF_H
typedef struct ssl_conf_cmd_st SSL_CONF_CMD;
diff --git a/include/openssl/__DECC_INCLUDE_EPILOGUE.H b/include/openssl/__DECC_INCLUDE_EPILOGUE.H
index c350018a..ad0a5f56 100644
--- a/include/openssl/__DECC_INCLUDE_EPILOGUE.H
+++ b/include/openssl/__DECC_INCLUDE_EPILOGUE.H
@@ -1,5 +1,5 @@
/*
- * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,9 +8,15 @@
*/
/*
- * This file is only used by HP C on VMS, and is included automatically
+ * This file is only used by HP C/C++ on VMS, and is included automatically
* after each header file from this directory
*/
+/*
+ * The C++ compiler doesn't understand these pragmas, even though it
+ * understands the corresponding command line qualifier.
+ */
+#ifndef __cplusplus
/* restore state. Must correspond to the save in __decc_include_prologue.h */
-#pragma names restore
+# pragma names restore
+#endif
diff --git a/include/openssl/__DECC_INCLUDE_PROLOGUE.H b/include/openssl/__DECC_INCLUDE_PROLOGUE.H
index 9a9c777f..5f5513e8 100644
--- a/include/openssl/__DECC_INCLUDE_PROLOGUE.H
+++ b/include/openssl/__DECC_INCLUDE_PROLOGUE.H
@@ -1,5 +1,5 @@
/*
- * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,13 +8,19 @@
*/
/*
- * This file is only used by HP C on VMS, and is included automatically
+ * This file is only used by HP C/C++ on VMS, and is included automatically
* after each header file from this directory
*/
+/*
+ * The C++ compiler doesn't understand these pragmas, even though it
+ * understands the corresponding command line qualifier.
+ */
+#ifndef __cplusplus
/* save state */
-#pragma names save
+# pragma names save
/* have the compiler shorten symbols larger than 31 chars to 23 chars
* followed by a 8 hex char CRC
*/
-#pragma names as_is,shortened
+# pragma names as_is,shortened
+#endif
diff --git a/include/openssl/asn1err.h b/include/openssl/asn1err.h
index faed5a55..e1ad1fef 100644
--- a/include/openssl/asn1err.h
+++ b/include/openssl/asn1err.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,9 +11,7 @@
#ifndef HEADER_ASN1ERR_H
# define HEADER_ASN1ERR_H
-# ifndef HEADER_SYMHACKS_H
-# include <openssl/symhacks.h>
-# endif
+# include <openssl/symhacks.h>
# ifdef __cplusplus
extern "C"
@@ -53,6 +51,7 @@ int ERR_load_ASN1_strings(void);
# define ASN1_F_ASN1_ITEM_DUP 191
# define ASN1_F_ASN1_ITEM_EMBED_D2I 120
# define ASN1_F_ASN1_ITEM_EMBED_NEW 121
+# define ASN1_F_ASN1_ITEM_EX_I2D 144
# define ASN1_F_ASN1_ITEM_FLAGS_I2D 118
# define ASN1_F_ASN1_ITEM_I2D_BIO 192
# define ASN1_F_ASN1_ITEM_I2D_FP 193
@@ -145,6 +144,7 @@ int ERR_load_ASN1_strings(void);
# define ASN1_R_ASN1_SIG_PARSE_ERROR 204
# define ASN1_R_AUX_ERROR 100
# define ASN1_R_BAD_OBJECT_HEADER 102
+# define ASN1_R_BAD_TEMPLATE 230
# define ASN1_R_BMPSTRING_IS_WRONG_LENGTH 214
# define ASN1_R_BN_LIB 105
# define ASN1_R_BOOLEAN_IS_WRONG_LENGTH 106
diff --git a/include/openssl/bio.h b/include/openssl/bio.h
index e1fddfb7..ae559a51 100644
--- a/include/openssl/bio.h
+++ b/include/openssl/bio.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -169,6 +169,7 @@ extern "C" {
*/
# define BIO_FLAGS_MEM_RDONLY 0x200
# define BIO_FLAGS_NONCLEAR_RST 0x400
+# define BIO_FLAGS_IN_EOF 0x800
typedef union bio_addr_st BIO_ADDR;
typedef struct bio_addrinfo_st BIO_ADDRINFO;
diff --git a/include/openssl/bn.h b/include/openssl/bn.h
index 8af05d00..d8776604 100644
--- a/include/openssl/bn.h
+++ b/include/openssl/bn.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -56,7 +56,7 @@ extern "C" {
* avoid leaking exponent information through timing,
* BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
* BN_div() will call BN_div_no_branch,
- * BN_mod_inverse() will call BN_mod_inverse_no_branch.
+ * BN_mod_inverse() will call bn_mod_inverse_no_branch.
*/
# define BN_FLG_CONSTTIME 0x04
# define BN_FLG_SECURE 0x08
diff --git a/include/openssl/ct.h b/include/openssl/ct.h
index d4262fa0..ebdba34d 100644
--- a/include/openssl/ct.h
+++ b/include/openssl/ct.h
@@ -463,8 +463,6 @@ __owur int CTLOG_STORE_load_file(CTLOG_STORE *store, const char *file);
/*
* Loads the default CT log list into a |store|.
- * See internal/cryptlib.h for the environment variable and file path that are
- * consulted to find the default file.
* Returns 1 if loading is successful, or 0 otherwise.
*/
__owur int CTLOG_STORE_load_default_file(CTLOG_STORE *store);
diff --git a/include/openssl/dsa.h b/include/openssl/dsa.h
index 822eff34..6d8a18a4 100644
--- a/include/openssl/dsa.h
+++ b/include/openssl/dsa.h
@@ -162,6 +162,12 @@ DH *DSA_dup_DH(const DSA *r);
# define EVP_PKEY_CTX_set_dsa_paramgen_bits(ctx, nbits) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_DSA, EVP_PKEY_OP_PARAMGEN, \
EVP_PKEY_CTRL_DSA_PARAMGEN_BITS, nbits, NULL)
+# define EVP_PKEY_CTX_set_dsa_paramgen_q_bits(ctx, qbits) \
+ EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_DSA, EVP_PKEY_OP_PARAMGEN, \
+ EVP_PKEY_CTRL_DSA_PARAMGEN_Q_BITS, qbits, NULL)
+# define EVP_PKEY_CTX_set_dsa_paramgen_md(ctx, md) \
+ EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_DSA, EVP_PKEY_OP_PARAMGEN, \
+ EVP_PKEY_CTRL_DSA_PARAMGEN_MD, 0, (void *)(md))
# define EVP_PKEY_CTRL_DSA_PARAMGEN_BITS (EVP_PKEY_ALG_CTRL + 1)
# define EVP_PKEY_CTRL_DSA_PARAMGEN_Q_BITS (EVP_PKEY_ALG_CTRL + 2)
diff --git a/include/openssl/dtls1.h b/include/openssl/dtls1.h
index a312e386..d55ca9c3 100644
--- a/include/openssl/dtls1.h
+++ b/include/openssl/dtls1.h
@@ -43,7 +43,7 @@ extern "C" {
# define DTLS1_AL_HEADER_LENGTH 2
-/* Timeout multipliers (timeout slice is defined in apps/timeouts.h */
+/* Timeout multipliers */
# define DTLS1_TMO_READ_COUNT 2
# define DTLS1_TMO_WRITE_COUNT 2
diff --git a/include/openssl/e_os2.h b/include/openssl/e_os2.h
index 97a776cd..cf308eee 100644
--- a/include/openssl/e_os2.h
+++ b/include/openssl/e_os2.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -241,7 +241,7 @@ typedef UINT64 uint64_t;
defined(__osf__) || defined(__sgi) || defined(__hpux) || \
defined(OPENSSL_SYS_VMS) || defined (__OpenBSD__)
# include <inttypes.h>
-# elif defined(_MSC_VER) && _MSC_VER<=1500
+# elif defined(_MSC_VER) && _MSC_VER<1600
/*
* minimally required typdefs for systems not supporting inttypes.h or
* stdint.h: currently just older VC++
diff --git a/include/openssl/ec.h b/include/openssl/ec.h
index 5af9ebdc..44cc1399 100644
--- a/include/openssl/ec.h
+++ b/include/openssl/ec.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -829,6 +829,8 @@ void EC_KEY_set_flags(EC_KEY *key, int flags);
void EC_KEY_clear_flags(EC_KEY *key, int flags);
+int EC_KEY_decoded_from_explicit_params(const EC_KEY *key);
+
/** Creates a new EC_KEY object using a named curve as underlying
* EC_GROUP object.
* \param nid NID of the named curve.
diff --git a/include/openssl/ecerr.h b/include/openssl/ecerr.h
index f7b91834..51738113 100644
--- a/include/openssl/ecerr.h
+++ b/include/openssl/ecerr.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -243,6 +243,7 @@ int ERR_load_EC_strings(void);
# define EC_R_LADDER_POST_FAILURE 136
# define EC_R_LADDER_PRE_FAILURE 153
# define EC_R_LADDER_STEP_FAILURE 162
+# define EC_R_MISSING_OID 167
# define EC_R_MISSING_PARAMETERS 124
# define EC_R_MISSING_PRIVATE_KEY 125
# define EC_R_NEED_NEW_SETUP_VALUES 157
diff --git a/include/openssl/evp.h b/include/openssl/evp.h
index 545654a9..a411f3f2 100644
--- a/include/openssl/evp.h
+++ b/include/openssl/evp.h
@@ -180,7 +180,7 @@ int (*EVP_MD_meth_get_ctrl(const EVP_MD *md))(EVP_MD_CTX *ctx, int cmd,
* if the following flag is set.
*/
# define EVP_MD_CTX_FLAG_FINALISE 0x0200
-/* NOTE: 0x0400 is reserved for internal usage in evp_int.h */
+/* NOTE: 0x0400 is reserved for internal usage */
EVP_CIPHER *EVP_CIPHER_meth_new(int cipher_type, int block_size, int key_len);
EVP_CIPHER *EVP_CIPHER_meth_dup(const EVP_CIPHER *cipher);
@@ -1512,6 +1512,20 @@ void EVP_PKEY_meth_set_ctrl(EVP_PKEY_METHOD *pmeth,
const char *type,
const char *value));
+void EVP_PKEY_meth_set_digestsign(EVP_PKEY_METHOD *pmeth,
+ int (*digestsign) (EVP_MD_CTX *ctx,
+ unsigned char *sig,
+ size_t *siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
+
+void EVP_PKEY_meth_set_digestverify(EVP_PKEY_METHOD *pmeth,
+ int (*digestverify) (EVP_MD_CTX *ctx,
+ const unsigned char *sig,
+ size_t siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
+
void EVP_PKEY_meth_set_check(EVP_PKEY_METHOD *pmeth,
int (*check) (EVP_PKEY *pkey));
@@ -1617,6 +1631,20 @@ void EVP_PKEY_meth_get_ctrl(const EVP_PKEY_METHOD *pmeth,
const char *type,
const char *value));
+void EVP_PKEY_meth_get_digestsign(EVP_PKEY_METHOD *pmeth,
+ int (**digestsign) (EVP_MD_CTX *ctx,
+ unsigned char *sig,
+ size_t *siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
+
+void EVP_PKEY_meth_get_digestverify(EVP_PKEY_METHOD *pmeth,
+ int (**digestverify) (EVP_MD_CTX *ctx,
+ const unsigned char *sig,
+ size_t siglen,
+ const unsigned char *tbs,
+ size_t tbslen));
+
void EVP_PKEY_meth_get_check(const EVP_PKEY_METHOD *pmeth,
int (**pcheck) (EVP_PKEY *pkey));
diff --git a/include/openssl/evperr.h b/include/openssl/evperr.h
index 6a651f55..b4ea90ae 100644
--- a/include/openssl/evperr.h
+++ b/include/openssl/evperr.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,9 +11,7 @@
#ifndef HEADER_EVPERR_H
# define HEADER_EVPERR_H
-# ifndef HEADER_SYMHACKS_H
-# include <openssl/symhacks.h>
-# endif
+# include <openssl/symhacks.h>
# ifdef __cplusplus
extern "C"
@@ -160,6 +158,7 @@ int ERR_load_EVP_strings(void);
# define EVP_R_INPUT_NOT_INITIALIZED 111
# define EVP_R_INVALID_DIGEST 152
# define EVP_R_INVALID_FIPS_MODE 168
+# define EVP_R_INVALID_IV_LENGTH 194
# define EVP_R_INVALID_KEY 163
# define EVP_R_INVALID_KEY_LENGTH 130
# define EVP_R_INVALID_OPERATION 148
@@ -178,6 +177,7 @@ int ERR_load_EVP_strings(void);
# define EVP_R_ONLY_ONESHOT_SUPPORTED 177
# define EVP_R_OPERATION_NOT_SUPPORTED_FOR_THIS_KEYTYPE 150
# define EVP_R_OPERATON_NOT_INITIALIZED 151
+# define EVP_R_OUTPUT_WOULD_OVERFLOW 184
# define EVP_R_PARTIALLY_OVERLAPPING 162
# define EVP_R_PBKDF2_ERROR 181
# define EVP_R_PKEY_APPLICATION_ASN1_METHOD_ALREADY_REGISTERED 179
diff --git a/include/openssl/lhash.h b/include/openssl/lhash.h
index 47b99d17..2e42d727 100644
--- a/include/openssl/lhash.h
+++ b/include/openssl/lhash.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -120,9 +120,8 @@ void OPENSSL_LH_node_usage_stats_bio(const OPENSSL_LHASH *lh, BIO *out);
# define DEFINE_LHASH_OF(type) \
LHASH_OF(type) { union lh_##type##_dummy { void* d1; unsigned long d2; int d3; } dummy; }; \
- static ossl_inline LHASH_OF(type) * \
- lh_##type##_new(unsigned long (*hfn)(const type *), \
- int (*cfn)(const type *, const type *)) \
+ static ossl_unused ossl_inline LHASH_OF(type) *lh_##type##_new(unsigned long (*hfn)(const type *), \
+ int (*cfn)(const type *, const type *)) \
{ \
return (LHASH_OF(type) *) \
OPENSSL_LH_new((OPENSSL_LH_HASHFUNC)hfn, (OPENSSL_LH_COMPFUNC)cfn); \
diff --git a/include/openssl/obj_mac.h b/include/openssl/obj_mac.h
index 47dafe48..eb812ed1 100644
--- a/include/openssl/obj_mac.h
+++ b/include/openssl/obj_mac.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/objects/objects.pl
*
- * Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
@@ -1290,12 +1290,12 @@
#define OBJ_ms_efs 1L,3L,6L,1L,4L,1L,311L,10L,3L,4L
#define SN_ms_smartcard_login "msSmartcardLogin"
-#define LN_ms_smartcard_login "Microsoft Smartcardlogin"
+#define LN_ms_smartcard_login "Microsoft Smartcard Login"
#define NID_ms_smartcard_login 648
#define OBJ_ms_smartcard_login 1L,3L,6L,1L,4L,1L,311L,20L,2L,2L
#define SN_ms_upn "msUPN"
-#define LN_ms_upn "Microsoft Universal Principal Name"
+#define LN_ms_upn "Microsoft User Principal Name"
#define NID_ms_upn 649
#define OBJ_ms_upn 1L,3L,6L,1L,4L,1L,311L,20L,2L,3L
diff --git a/include/openssl/ocsp.h b/include/openssl/ocsp.h
index 8582fe1e..4d759a49 100644
--- a/include/openssl/ocsp.h
+++ b/include/openssl/ocsp.h
@@ -123,7 +123,7 @@ typedef struct ocsp_service_locator_st OCSP_SERVICELOC;
(char *(*)())d2i_OCSP_REQUEST,PEM_STRING_OCSP_REQUEST, \
bp,(char **)(x),cb,NULL)
-# define PEM_read_bio_OCSP_RESPONSE(bp,x,cb)(OCSP_RESPONSE *)PEM_ASN1_read_bio(\
+# define PEM_read_bio_OCSP_RESPONSE(bp,x,cb) (OCSP_RESPONSE *)PEM_ASN1_read_bio(\
(char *(*)())d2i_OCSP_RESPONSE,PEM_STRING_OCSP_RESPONSE, \
bp,(char **)(x),cb,NULL)
diff --git a/include/openssl/opensslconf.h.in b/include/openssl/opensslconf.h.in
index bc98cad5..06270922 100644
--- a/include/openssl/opensslconf.h.in
+++ b/include/openssl/opensslconf.h.in
@@ -1,7 +1,7 @@
/*
* {- join("\n * ", @autowarntext) -}
*
- * Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -77,6 +77,11 @@ extern "C" {
# undef DECLARE_DEPRECATED
# define DECLARE_DEPRECATED(f) f __attribute__ ((deprecated));
# endif
+# elif defined(__SUNPRO_C)
+# if (__SUNPRO_C >= 0x5130)
+# undef DECLARE_DEPRECATED
+# define DECLARE_DEPRECATED(f) f __attribute__ ((deprecated));
+# endif
# endif
#endif
diff --git a/include/openssl/opensslv.h b/include/openssl/opensslv.h
index c28e632c..cd5c2321 100644
--- a/include/openssl/opensslv.h
+++ b/include/openssl/opensslv.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -39,8 +39,8 @@ extern "C" {
* (Prior to 0.9.5a beta1, a different scheme was used: MMNNFFRBB for
* major minor fix final patch/beta)
*/
-# define OPENSSL_VERSION_NUMBER 0x1010104fL
-# define OPENSSL_VERSION_TEXT "OpenSSL 1.1.1d 10 Sep 2019"
+# define OPENSSL_VERSION_NUMBER 0x101010afL
+# define OPENSSL_VERSION_TEXT "OpenSSL 1.1.1j 16 Feb 2021"
/*-
* The macros below are to be used for shared library (.so, .dll, ...)
diff --git a/include/openssl/ossl_typ.h b/include/openssl/ossl_typ.h
index 7993ca28..e0edfaaf 100644
--- a/include/openssl/ossl_typ.h
+++ b/include/openssl/ossl_typ.h
@@ -109,6 +109,7 @@ typedef struct dsa_method DSA_METHOD;
typedef struct rsa_st RSA;
typedef struct rsa_meth_st RSA_METHOD;
+typedef struct rsa_pss_params_st RSA_PSS_PARAMS;
typedef struct ec_key_st EC_KEY;
typedef struct ec_key_method_st EC_KEY_METHOD;
diff --git a/include/openssl/pemerr.h b/include/openssl/pemerr.h
index 0c45918f..4f7e3574 100644
--- a/include/openssl/pemerr.h
+++ b/include/openssl/pemerr.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -61,6 +61,7 @@ int ERR_load_PEM_strings(void);
# define PEM_F_PEM_SIGNFINAL 112
# define PEM_F_PEM_WRITE 113
# define PEM_F_PEM_WRITE_BIO 114
+# define PEM_F_PEM_WRITE_BIO_PRIVATEKEY_TRADITIONAL 147
# define PEM_F_PEM_WRITE_PRIVATEKEY 139
# define PEM_F_PEM_X509_INFO_READ 115
# define PEM_F_PEM_X509_INFO_READ_BIO 116
@@ -99,5 +100,6 @@ int ERR_load_PEM_strings(void);
# define PEM_R_UNSUPPORTED_CIPHER 113
# define PEM_R_UNSUPPORTED_ENCRYPTION 114
# define PEM_R_UNSUPPORTED_KEY_COMPONENTS 126
+# define PEM_R_UNSUPPORTED_PUBLIC_KEY_TYPE 110
#endif
diff --git a/include/openssl/randerr.h b/include/openssl/randerr.h
index 70d1a17a..79d57905 100644
--- a/include/openssl/randerr.h
+++ b/include/openssl/randerr.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -21,6 +21,7 @@ int ERR_load_RAND_strings(void);
/*
* RAND function codes.
*/
+# define RAND_F_DATA_COLLECT_METHOD 127
# define RAND_F_DRBG_BYTES 101
# define RAND_F_DRBG_GET_ENTROPY 105
# define RAND_F_DRBG_SETUP 117
@@ -46,6 +47,7 @@ int ERR_load_RAND_strings(void);
# define RAND_F_RAND_POOL_BYTES_NEEDED 115
# define RAND_F_RAND_POOL_GROW 125
# define RAND_F_RAND_POOL_NEW 116
+# define RAND_F_RAND_PSEUDO_BYTES 126
# define RAND_F_RAND_WRITE_FILE 112
/*
diff --git a/include/openssl/rsa.h b/include/openssl/rsa.h
index cdce1264..5e76365c 100644
--- a/include/openssl/rsa.h
+++ b/include/openssl/rsa.h
@@ -224,6 +224,7 @@ const BIGNUM *RSA_get0_q(const RSA *d);
const BIGNUM *RSA_get0_dmp1(const RSA *r);
const BIGNUM *RSA_get0_dmq1(const RSA *r);
const BIGNUM *RSA_get0_iqmp(const RSA *r);
+const RSA_PSS_PARAMS *RSA_get0_pss_params(const RSA *r);
void RSA_clear_flags(RSA *r, int flags);
int RSA_test_flags(const RSA *r, int flags);
void RSA_set_flags(RSA *r, int flags);
@@ -279,14 +280,14 @@ int RSA_pkey_ctx_ctrl(EVP_PKEY_CTX *ctx, int optype, int cmd, int p1, void *p2);
DECLARE_ASN1_ENCODE_FUNCTIONS_const(RSA, RSAPublicKey)
DECLARE_ASN1_ENCODE_FUNCTIONS_const(RSA, RSAPrivateKey)
-typedef struct rsa_pss_params_st {
+struct rsa_pss_params_st {
X509_ALGOR *hashAlgorithm;
X509_ALGOR *maskGenAlgorithm;
ASN1_INTEGER *saltLength;
ASN1_INTEGER *trailerField;
/* Decoded hash algorithm from maskGenAlgorithm */
X509_ALGOR *maskHash;
-} RSA_PSS_PARAMS;
+};
DECLARE_ASN1_FUNCTIONS(RSA_PSS_PARAMS)
diff --git a/include/openssl/ssl.h b/include/openssl/ssl.h
index 6724ccf2..fd0c5a99 100644
--- a/include/openssl/ssl.h
+++ b/include/openssl/ssl.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -1393,7 +1393,7 @@ DECLARE_PEM_rw(SSL_SESSION, SSL_SESSION)
# define SSL_get1_groups(s, glist) \
SSL_ctrl(s,SSL_CTRL_GET_GROUPS,0,(int*)(glist))
# define SSL_CTX_set1_groups(ctx, glist, glistlen) \
- SSL_CTX_ctrl(ctx,SSL_CTRL_SET_GROUPS,glistlen,(char *)(glist))
+ SSL_CTX_ctrl(ctx,SSL_CTRL_SET_GROUPS,glistlen,(int *)(glist))
# define SSL_CTX_set1_groups_list(ctx, s) \
SSL_CTX_ctrl(ctx,SSL_CTRL_SET_GROUPS_LIST,0,(char *)(s))
# define SSL_set1_groups(s, glist, glistlen) \
diff --git a/include/openssl/ssl3.h b/include/openssl/ssl3.h
index 8d01fcc4..07effba2 100644
--- a/include/openssl/ssl3.h
+++ b/include/openssl/ssl3.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -292,6 +292,9 @@ extern "C" {
# define TLS1_FLAGS_STATELESS 0x0800
+/* Set if extended master secret extension required on renegotiation */
+# define TLS1_FLAGS_REQUIRED_EXTMS 0x1000
+
# define SSL3_MT_HELLO_REQUEST 0
# define SSL3_MT_CLIENT_HELLO 1
# define SSL3_MT_SERVER_HELLO 2
diff --git a/include/openssl/sslerr.h b/include/openssl/sslerr.h
index 3d6850de..82983d3c 100644
--- a/include/openssl/sslerr.h
+++ b/include/openssl/sslerr.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -88,6 +88,7 @@ int ERR_load_SSL_strings(void);
# define SSL_F_OSSL_STATEM_SERVER_CONSTRUCT_MESSAGE 431
# define SSL_F_OSSL_STATEM_SERVER_POST_PROCESS_MESSAGE 601
# define SSL_F_OSSL_STATEM_SERVER_POST_WORK 602
+# define SSL_F_OSSL_STATEM_SERVER_PRE_WORK 640
# define SSL_F_OSSL_STATEM_SERVER_PROCESS_MESSAGE 603
# define SSL_F_OSSL_STATEM_SERVER_READ_TRANSITION 418
# define SSL_F_OSSL_STATEM_SERVER_WRITE_TRANSITION 604
diff --git a/include/openssl/x509.h b/include/openssl/x509.h
index 39ca0ba5..3ff86ec7 100644
--- a/include/openssl/x509.h
+++ b/include/openssl/x509.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -478,6 +478,7 @@ void X509_ALGOR_get0(const ASN1_OBJECT **paobj, int *pptype,
const void **ppval, const X509_ALGOR *algor);
void X509_ALGOR_set_md(X509_ALGOR *alg, const EVP_MD *md);
int X509_ALGOR_cmp(const X509_ALGOR *a, const X509_ALGOR *b);
+int X509_ALGOR_copy(X509_ALGOR *dest, const X509_ALGOR *src);
X509_NAME *X509_NAME_dup(X509_NAME *xn);
X509_NAME_ENTRY *X509_NAME_ENTRY_dup(X509_NAME_ENTRY *ne);
@@ -679,6 +680,8 @@ X509_NAME *X509_REQ_get_subject_name(const X509_REQ *req);
int X509_REQ_set_subject_name(X509_REQ *req, X509_NAME *name);
void X509_REQ_get0_signature(const X509_REQ *req, const ASN1_BIT_STRING **psig,
const X509_ALGOR **palg);
+void X509_REQ_set0_signature(X509_REQ *req, ASN1_BIT_STRING *psig);
+int X509_REQ_set1_signature_algo(X509_REQ *req, X509_ALGOR *palg);
int X509_REQ_get_signature_nid(const X509_REQ *req);
int i2d_re_X509_REQ_tbs(X509_REQ *req, unsigned char **pp);
int X509_REQ_set_pubkey(X509_REQ *x, EVP_PKEY *pkey);
@@ -930,7 +933,7 @@ STACK_OF(X509_ATTRIBUTE) *X509at_add1_attr_by_txt(STACK_OF(X509_ATTRIBUTE)
int type,
const unsigned char *bytes,
int len);
-void *X509at_get0_data_by_OBJ(STACK_OF(X509_ATTRIBUTE) *x,
+void *X509at_get0_data_by_OBJ(const STACK_OF(X509_ATTRIBUTE) *x,
const ASN1_OBJECT *obj, int lastpos, int type);
X509_ATTRIBUTE *X509_ATTRIBUTE_create_by_NID(X509_ATTRIBUTE **attr, int nid,
int atrtype, const void *data,
diff --git a/include/openssl/x509_vfy.h b/include/openssl/x509_vfy.h
index adb8bce7..25c79f1b 100644
--- a/include/openssl/x509_vfy.h
+++ b/include/openssl/x509_vfy.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -184,6 +184,10 @@ void X509_STORE_CTX_set_depth(X509_STORE_CTX *ctx, int depth);
# define X509_V_ERR_OCSP_VERIFY_NEEDED 73 /* Need OCSP verification */
# define X509_V_ERR_OCSP_VERIFY_FAILED 74 /* Couldn't verify cert through OCSP */
# define X509_V_ERR_OCSP_CERT_UNKNOWN 75 /* Certificate wasn't recognized by the OCSP responder */
+# define X509_V_ERR_SIGNATURE_ALGORITHM_MISMATCH 76
+# define X509_V_ERR_NO_ISSUER_PUBLIC_KEY 77
+# define X509_V_ERR_UNSUPPORTED_SIGNATURE_ALGORITHM 78
+# define X509_V_ERR_EC_KEY_EXPLICIT_PARAMS 79
/* Certificate verify flags */
diff --git a/include/openssl/x509err.h b/include/openssl/x509err.h
index 02738531..cd08673f 100644
--- a/include/openssl/x509err.h
+++ b/include/openssl/x509err.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,9 +11,7 @@
#ifndef HEADER_X509ERR_H
# define HEADER_X509ERR_H
-# ifndef HEADER_SYMHACKS_H
-# include <openssl/symhacks.h>
-# endif
+# include <openssl/symhacks.h>
# ifdef __cplusplus
extern "C"
@@ -65,6 +63,7 @@ int ERR_load_X509_strings(void);
# define X509_F_X509_OBJECT_NEW 150
# define X509_F_X509_PRINT_EX_FP 118
# define X509_F_X509_PUBKEY_DECODE 148
+# define X509_F_X509_PUBKEY_GET 161
# define X509_F_X509_PUBKEY_GET0 119
# define X509_F_X509_PUBKEY_SET 120
# define X509_F_X509_REQ_CHECK_PRIVATE_KEY 144
diff --git a/include/openssl/x509v3.h b/include/openssl/x509v3.h
index 6c6eca38..90fa3592 100644
--- a/include/openssl/x509v3.h
+++ b/include/openssl/x509v3.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -364,8 +364,9 @@ struct ISSUING_DIST_POINT_st {
# define EXFLAG_INVALID_POLICY 0x800
# define EXFLAG_FRESHEST 0x1000
-/* Self signed */
-# define EXFLAG_SS 0x2000
+# define EXFLAG_SS 0x2000 /* cert is apparently self-signed */
+
+# define EXFLAG_NO_FINGERPRINT 0x100000
# define KU_DIGITAL_SIGNATURE 0x0080
# define KU_NON_REPUDIATION 0x0040
diff --git a/ssl/bio_ssl.c b/ssl/bio_ssl.c
index d1876d8b..53129bfb 100644
--- a/ssl/bio_ssl.c
+++ b/ssl/bio_ssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,7 +14,7 @@
#include <openssl/crypto.h>
#include "internal/bio.h"
#include <openssl/err.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
static int ssl_write(BIO *h, const char *buf, size_t size, size_t *written);
static int ssl_read(BIO *b, char *buf, size_t size, size_t *readbytes);
@@ -284,6 +284,7 @@ static long ssl_ctrl(BIO *b, int cmd, long num, void *ptr)
ssl_free(b);
if (!ssl_new(b))
return 0;
+ bs = BIO_get_data(b);
}
BIO_set_shutdown(b, num);
ssl = (SSL *)ptr;
diff --git a/ssl/d1_lib.c b/ssl/d1_lib.c
index fcda3275..afbf0152 100644
--- a/ssl/d1_lib.c
+++ b/ssl/d1_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,7 +11,7 @@
#include <stdio.h>
#include <openssl/objects.h>
#include <openssl/rand.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
static void get_current_time(struct timeval *t);
static int dtls1_handshake_write(SSL *s);
@@ -142,10 +142,11 @@ void dtls1_free(SSL *s)
ssl3_free(s);
- dtls1_clear_queues(s);
-
- pqueue_free(s->d1->buffered_messages);
- pqueue_free(s->d1->sent_messages);
+ if (s->d1 != NULL) {
+ dtls1_clear_queues(s);
+ pqueue_free(s->d1->buffered_messages);
+ pqueue_free(s->d1->sent_messages);
+ }
OPENSSL_free(s->d1);
s->d1 = NULL;
diff --git a/ssl/d1_msg.c b/ssl/d1_msg.c
index 6365b365..8a31064a 100644
--- a/ssl/d1_msg.c
+++ b/ssl/d1_msg.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ssl_locl.h"
+#include "ssl_local.h"
int dtls1_write_app_data_bytes(SSL *s, int type, const void *buf_, size_t len,
size_t *written)
diff --git a/ssl/d1_srtp.c b/ssl/d1_srtp.c
index ff8f0c57..c05a77e3 100644
--- a/ssl/d1_srtp.c
+++ b/ssl/d1_srtp.c
@@ -15,7 +15,7 @@
#include <stdio.h>
#include <openssl/objects.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#ifndef OPENSSL_NO_SRTP
diff --git a/ssl/methods.c b/ssl/methods.c
index 348efe46..c5e88983 100644
--- a/ssl/methods.c
+++ b/ssl/methods.c
@@ -9,7 +9,7 @@
#include <stdio.h>
#include <openssl/objects.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
/*-
* TLS/SSLv3 methods
diff --git a/ssl/packet.c b/ssl/packet.c
index 95031430..1ddde969 100644
--- a/ssl/packet.c
+++ b/ssl/packet.c
@@ -8,7 +8,7 @@
*/
#include "internal/cryptlib.h"
-#include "packet_locl.h"
+#include "packet_local.h"
#include <openssl/sslerr.h>
#define DEFAULT_BUF_SIZE 256
diff --git a/ssl/packet_locl.h b/ssl/packet_local.h
similarity index 99%
rename from ssl/packet_locl.h
rename to ssl/packet_local.h
index 860360b8..1b6c2fb9 100644
--- a/ssl/packet_locl.h
+++ b/ssl/packet_local.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_PACKET_LOCL_H
-# define HEADER_PACKET_LOCL_H
+#ifndef OSSL_SSL_PACKET_LOCAL_H
+# define OSSL_SSL_PACKET_LOCAL_H
# include <string.h>
# include <openssl/bn.h>
@@ -871,4 +871,4 @@ unsigned char *WPACKET_get_curr(WPACKET *pkt);
/* Release resources in a WPACKET if a failure has occurred. */
void WPACKET_cleanup(WPACKET *pkt);
-#endif /* HEADER_PACKET_LOCL_H */
+#endif /* OSSL_SSL_PACKET_LOCAL_H */
diff --git a/ssl/pqueue.c b/ssl/pqueue.c
index 548a7a44..75844021 100644
--- a/ssl/pqueue.c
+++ b/ssl/pqueue.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/bn.h>
struct pqueue_st {
diff --git a/ssl/record/README b/ssl/record/README
index 987e9fd3..630fe802 100644
--- a/ssl/record/README
+++ b/ssl/record/README
@@ -12,7 +12,7 @@ of these components is defined by:
3) A set of accessor macros
All struct definitions are in record.h. The functions and macros are either
-defined in record.h or record_locl.h dependent on whether they are intended to
+defined in record.h or record_local.h dependent on whether they are intended to
be private to the record layer, or whether they form part of the API to the rest
of libssl.
@@ -55,7 +55,7 @@ Conceptually it looks like this:
|| rec_layer_d1.c ||
||____________________||
|______________________|
- record_locl.h ^ ^ ^
+ record_local.h ^ ^ ^
_________________| | |_________________
| | |
_____V_________ ______V________ _______V________
diff --git a/ssl/record/dtls1_bitmap.c b/ssl/record/dtls1_bitmap.c
index 5923c537..8167b418 100644
--- a/ssl/record/dtls1_bitmap.c
+++ b/ssl/record/dtls1_bitmap.c
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#include "../ssl_locl.h"
-#include "record_locl.h"
+#include "../ssl_local.h"
+#include "record_local.h"
/* mod 128 saturating subtract of two 64-bit values in big-endian order */
static int satsub64be(const unsigned char *v1, const unsigned char *v2)
diff --git a/ssl/record/rec_layer_d1.c b/ssl/record/rec_layer_d1.c
index cb5d54ef..78d29594 100644
--- a/ssl/record/rec_layer_d1.c
+++ b/ssl/record/rec_layer_d1.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,11 +9,11 @@
#include <stdio.h>
#include <errno.h>
-#include "../ssl_locl.h"
+#include "../ssl_local.h"
#include <openssl/evp.h>
#include <openssl/buffer.h>
-#include "record_locl.h"
-#include "../packet_locl.h"
+#include "record_local.h"
+#include "../packet_local.h"
#include "internal/cryptlib.h"
int DTLS_RECORD_LAYER_new(RECORD_LAYER *rl)
@@ -46,6 +46,9 @@ int DTLS_RECORD_LAYER_new(RECORD_LAYER *rl)
void DTLS_RECORD_LAYER_free(RECORD_LAYER *rl)
{
+ if (rl->d == NULL)
+ return;
+
DTLS_RECORD_LAYER_clear(rl);
pqueue_free(rl->d->unprocessed_rcds.q);
pqueue_free(rl->d->processed_rcds.q);
@@ -808,8 +811,8 @@ int do_dtls1_write(SSL *s, int type, const unsigned char *buf,
wb = &s->rlayer.wbuf[0];
/*
- * first check if there is a SSL3_BUFFER still being written out. This
- * will happen with non blocking IO
+ * DTLS writes whole datagrams, so there can't be anything left in
+ * the buffer.
*/
if (!ossl_assert(SSL3_BUFFER_get_left(wb) == 0)) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_DO_DTLS1_WRITE,
diff --git a/ssl/record/rec_layer_s3.c b/ssl/record/rec_layer_s3.c
index 982a0608..b2a7a47e 100644
--- a/ssl/record/rec_layer_s3.c
+++ b/ssl/record/rec_layer_s3.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,15 +10,15 @@
#include <stdio.h>
#include <limits.h>
#include <errno.h>
-#include "../ssl_locl.h"
+#include "../ssl_local.h"
#include <openssl/evp.h>
#include <openssl/buffer.h>
#include <openssl/rand.h>
-#include "record_locl.h"
-#include "../packet_locl.h"
+#include "record_local.h"
+#include "../packet_local.h"
#if defined(OPENSSL_SMALL_FOOTPRINT) || \
- !( defined(AES_ASM) && ( \
+ !( defined(AESNI_ASM) && ( \
defined(__x86_64) || defined(__x86_64__) || \
defined(_M_AMD64) || defined(_M_X64) ) \
)
diff --git a/ssl/record/record_locl.h b/ssl/record/record_local.h
similarity index 100%
rename from ssl/record/record_locl.h
rename to ssl/record/record_local.h
diff --git a/ssl/record/ssl3_buffer.c b/ssl/record/ssl3_buffer.c
index 53bd4cb1..9b2a6964 100644
--- a/ssl/record/ssl3_buffer.c
+++ b/ssl/record/ssl3_buffer.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#include "../ssl_locl.h"
-#include "record_locl.h"
+#include "../ssl_local.h"
+#include "record_local.h"
void SSL3_BUFFER_set_data(SSL3_BUFFER *b, const unsigned char *d, size_t n)
{
@@ -94,7 +94,7 @@ int ssl3_setup_write_buffer(SSL *s, size_t numwpipes, size_t len)
headerlen = SSL3_RT_HEADER_LENGTH;
#if defined(SSL3_ALIGN_PAYLOAD) && SSL3_ALIGN_PAYLOAD!=0
- align = (-SSL3_RT_HEADER_LENGTH) & (SSL3_ALIGN_PAYLOAD - 1);
+ align = SSL3_ALIGN_PAYLOAD - 1;
#endif
len = ssl_get_max_send_fragment(s)
diff --git a/ssl/record/ssl3_record.c b/ssl/record/ssl3_record.c
index e59ac5a6..ab5d22aa 100644
--- a/ssl/record/ssl3_record.c
+++ b/ssl/record/ssl3_record.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,10 +7,10 @@
* https://www.openssl.org/source/license.html
*/
-#include "../ssl_locl.h"
-#include "internal/constant_time_locl.h"
+#include "../ssl_local.h"
+#include "internal/constant_time.h"
#include <openssl/rand.h>
-#include "record_locl.h"
+#include "record_local.h"
#include "internal/cryptlib.h"
static const unsigned char ssl3_pad_1[48] = {
@@ -559,7 +559,7 @@ int ssl3_get_record(SSL *s)
RECORD_LAYER_reset_read_sequence(&s->rlayer);
return 1;
}
- SSLfatal(s, SSL_AD_DECRYPTION_FAILED, SSL_F_SSL3_GET_RECORD,
+ SSLfatal(s, SSL_AD_BAD_RECORD_MAC, SSL_F_SSL3_GET_RECORD,
SSL_R_BLOCK_CIPHER_PAD_IS_WRONG);
return -1;
}
@@ -837,7 +837,7 @@ int ssl3_do_compress(SSL *ssl, SSL3_RECORD *wr)
* SSLfatal() for internal errors, but not otherwise.
*
* Returns:
- * 0: (in non-constant time) if the record is publically invalid (i.e. too
+ * 0: (in non-constant time) if the record is publicly invalid (i.e. too
* short etc).
* 1: if the record's padding is valid / the encryption was successful.
* -1: if the record's padding is invalid or, if sending, an internal error
@@ -928,7 +928,7 @@ int ssl3_enc(SSL *s, SSL3_RECORD *inrecs, size_t n_recs, int sending)
* internal errors, but not otherwise.
*
* Returns:
- * 0: (in non-constant time) if the record is publically invalid (i.e. too
+ * 0: (in non-constant time) if the record is publicly invalid (i.e. too
* short etc).
* 1: if the record's padding is valid / the encryption was successful.
* -1: if the record's padding/AEAD-authenticator is invalid or, if sending,
@@ -1075,7 +1075,7 @@ int tls1_enc(SSL *s, SSL3_RECORD *recs, size_t n_recs, int sending)
} else if ((bs != 1) && sending) {
padnum = bs - (reclen[ctr] % bs);
- /* Add weird padding of upto 256 bytes */
+ /* Add weird padding of up to 256 bytes */
if (padnum > MAX_PADDING) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS1_ENC,
@@ -1610,6 +1610,7 @@ int dtls1_process_record(SSL *s, DTLS1_BITMAP *bitmap)
int imac_size;
size_t mac_size;
unsigned char md[EVP_MAX_MD_SIZE];
+ size_t max_plain_length = SSL3_RT_MAX_PLAIN_LENGTH;
rr = RECORD_LAYER_get_rrec(&s->rlayer);
sess = s->session;
@@ -1669,7 +1670,7 @@ int dtls1_process_record(SSL *s, DTLS1_BITMAP *bitmap)
enc_err = s->method->ssl3_enc->enc(s, rr, 1, 0);
/*-
* enc_err is:
- * 0: (in non-constant time) if the record is publically invalid.
+ * 0: (in non-constant time) if the record is publicly invalid.
* 1: if the padding is valid
* -1: if the padding is invalid
*/
@@ -1782,7 +1783,12 @@ int dtls1_process_record(SSL *s, DTLS1_BITMAP *bitmap)
}
}
- if (rr->length > SSL3_RT_MAX_PLAIN_LENGTH) {
+ /* use current Max Fragment Length setting if applicable */
+ if (s->session != NULL && USE_MAX_FRAGMENT_LENGTH_EXT(s->session))
+ max_plain_length = GET_MAX_FRAGMENT_LENGTH(s->session);
+
+ /* send overflow if the plaintext is too long now it has passed MAC */
+ if (rr->length > max_plain_length) {
SSLfatal(s, SSL_AD_RECORD_OVERFLOW, SSL_F_DTLS1_PROCESS_RECORD,
SSL_R_DATA_LENGTH_TOO_LONG);
return 0;
@@ -1926,7 +1932,7 @@ int dtls1_get_record(SSL *s)
/* If received packet overflows own-client Max Fragment Length setting */
if (s->session != NULL && USE_MAX_FRAGMENT_LENGTH_EXT(s->session)
- && rr->length > GET_MAX_FRAGMENT_LENGTH(s->session)) {
+ && rr->length > GET_MAX_FRAGMENT_LENGTH(s->session) + SSL3_RT_MAX_ENCRYPTED_OVERHEAD) {
/* record too long, silently discard it */
rr->length = 0;
rr->read = 1;
diff --git a/ssl/record/ssl3_record_tls13.c b/ssl/record/ssl3_record_tls13.c
index a11ed483..ab50e376 100644
--- a/ssl/record/ssl3_record_tls13.c
+++ b/ssl/record/ssl3_record_tls13.c
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#include "../ssl_locl.h"
-#include "record_locl.h"
+#include "../ssl_local.h"
+#include "record_local.h"
#include "internal/cryptlib.h"
/*-
@@ -16,7 +16,7 @@
* internal errors, but not otherwise.
*
* Returns:
- * 0: (in non-constant time) if the record is publically invalid (i.e. too
+ * 0: (in non-constant time) if the record is publicly invalid (i.e. too
* short etc).
* 1: if the record encryption was successful.
* -1: if the record's AEAD-authenticator is invalid or, if sending,
diff --git a/ssl/s3_cbc.c b/ssl/s3_cbc.c
index 8377d7fe..aa7d63f8 100644
--- a/ssl/s3_cbc.c
+++ b/ssl/s3_cbc.c
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#include "internal/constant_time_locl.h"
-#include "ssl_locl.h"
+#include "internal/constant_time.h"
+#include "ssl_local.h"
#include "internal/cryptlib.h"
#include <openssl/md5.h>
diff --git a/ssl/s3_enc.c b/ssl/s3_enc.c
index 2e185e9f..8a89f512 100644
--- a/ssl/s3_enc.c
+++ b/ssl/s3_enc.c
@@ -9,7 +9,7 @@
*/
#include <stdio.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/evp.h>
#include <openssl/md5.h>
#include "internal/cryptlib.h"
diff --git a/ssl/s3_lib.c b/ssl/s3_lib.c
index 066bf472..4511b52c 100644
--- a/ssl/s3_lib.c
+++ b/ssl/s3_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -12,7 +12,7 @@
#include <stdio.h>
#include <openssl/objects.h>
#include "internal/nelem.h"
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/md5.h>
#include <openssl/dh.h>
#include <openssl/rand.h>
@@ -4072,9 +4072,10 @@ const SSL_CIPHER *ssl3_get_cipher_by_id(uint32_t id)
const SSL_CIPHER *ssl3_get_cipher_by_std_name(const char *stdname)
{
- SSL_CIPHER *c = NULL, *tbl;
- SSL_CIPHER *alltabs[] = {tls13_ciphers, ssl3_ciphers};
- size_t i, j, tblsize[] = {TLS13_NUM_CIPHERS, SSL3_NUM_CIPHERS};
+ SSL_CIPHER *tbl;
+ SSL_CIPHER *alltabs[] = {tls13_ciphers, ssl3_ciphers, ssl3_scsvs};
+ size_t i, j, tblsize[] = {TLS13_NUM_CIPHERS, SSL3_NUM_CIPHERS,
+ SSL3_NUM_SCSVS};
/* this is not efficient, necessary to optimize this? */
for (j = 0; j < OSSL_NELEM(alltabs); j++) {
@@ -4082,21 +4083,11 @@ const SSL_CIPHER *ssl3_get_cipher_by_std_name(const char *stdname)
if (tbl->stdname == NULL)
continue;
if (strcmp(stdname, tbl->stdname) == 0) {
- c = tbl;
- break;
- }
- }
- }
- if (c == NULL) {
- tbl = ssl3_scsvs;
- for (i = 0; i < SSL3_NUM_SCSVS; i++, tbl++) {
- if (strcmp(stdname, tbl->stdname) == 0) {
- c = tbl;
- break;
+ return tbl;
}
}
}
- return c;
+ return NULL;
}
/*
@@ -4639,7 +4630,7 @@ int ssl_generate_master_secret(SSL *s, unsigned char *pms, size_t pmslen,
OPENSSL_clear_free(s->s3->tmp.psk, psklen);
s->s3->tmp.psk = NULL;
if (!s->method->ssl3_enc->generate_master_secret(s,
- s->session->master_key,pskpms, pskpmslen,
+ s->session->master_key, pskpms, pskpmslen,
&s->session->master_key_length)) {
OPENSSL_clear_free(pskpms, pskpmslen);
/* SSLfatal() already called */
diff --git a/ssl/s3_msg.c b/ssl/s3_msg.c
index 42382547..339fb277 100644
--- a/ssl/s3_msg.c
+++ b/ssl/s3_msg.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ssl_locl.h"
+#include "ssl_local.h"
int ssl3_do_change_cipher_spec(SSL *s)
{
diff --git a/ssl/ssl_asn1.c b/ssl/ssl_asn1.c
index b56c5e96..799fee77 100644
--- a/ssl/ssl_asn1.c
+++ b/ssl/ssl_asn1.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <stdlib.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
diff --git a/ssl/ssl_cert.c b/ssl/ssl_cert.c
index 9df9fb96..5d3e83f3 100644
--- a/ssl/ssl_cert.c
+++ b/ssl/ssl_cert.c
@@ -20,7 +20,7 @@
#include <openssl/bn.h>
#include <openssl/crypto.h>
#include "internal/refcount.h"
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include "ssl_cert_table.h"
#include "internal/thread_once.h"
@@ -601,14 +601,6 @@ static unsigned long xname_hash(const X509_NAME *a)
return X509_NAME_hash((X509_NAME *)a);
}
-/**
- * Load CA certs from a file into a ::STACK. Note that it is somewhat misnamed;
- * it doesn't really have anything to do with clients (except that a common use
- * for a stack of CAs is to send it to the client). Actually, it doesn't have
- * much to do with CAs, either, since it will load any old cert.
- * \param file the file containing one or more certs.
- * \return a ::STACK containing the certs.
- */
STACK_OF(X509_NAME) *SSL_load_client_CA_file(const char *file)
{
BIO *in = BIO_new(BIO_s_file());
@@ -666,15 +658,6 @@ STACK_OF(X509_NAME) *SSL_load_client_CA_file(const char *file)
return ret;
}
-/**
- * Add a file of certs to a stack.
- * \param stack the stack to add to.
- * \param file the file to add from. All certs in this file that are not
- * already in the stack will be added.
- * \return 1 for success, 0 for failure. Note that in the case of failure some
- * certs may have been added to \c stack.
- */
-
int SSL_add_file_cert_subjects_to_stack(STACK_OF(X509_NAME) *stack,
const char *file)
{
@@ -725,17 +708,6 @@ int SSL_add_file_cert_subjects_to_stack(STACK_OF(X509_NAME) *stack,
return ret;
}
-/**
- * Add a directory of certs to a stack.
- * \param stack the stack to append to.
- * \param dir the directory to append from. All files in this directory will be
- * examined as potential certs. Any that are acceptable to
- * SSL_add_dir_cert_subjects_to_stack() that are not already in the stack will be
- * included.
- * \return 1 for success, 0 for failure. Note that in the case of failure some
- * certs may have been added to \c stack.
- */
-
int SSL_add_dir_cert_subjects_to_stack(STACK_OF(X509_NAME) *stack,
const char *dir)
{
diff --git a/ssl/ssl_ciph.c b/ssl/ssl_ciph.c
index 27a1b2ec..735a483c 100644
--- a/ssl/ssl_ciph.c
+++ b/ssl/ssl_ciph.c
@@ -17,7 +17,7 @@
#include <openssl/crypto.h>
#include <openssl/conf.h>
#include "internal/nelem.h"
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include "internal/thread_once.h"
#include "internal/cryptlib.h"
@@ -92,7 +92,7 @@ static CRYPTO_ONCE ssl_load_builtin_comp_once = CRYPTO_ONCE_STATIC_INIT;
/*
* Constant SSL_MAX_DIGEST equal to size of digests array should be defined
- * in the ssl_locl.h
+ * in the ssl_local.h
*/
#define SSL_MD_NUM_IDX SSL_MAX_DIGEST
diff --git a/ssl/ssl_conf.c b/ssl/ssl_conf.c
index 9c202708..0a3fef7c 100644
--- a/ssl/ssl_conf.c
+++ b/ssl/ssl_conf.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include <stdio.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/conf.h>
#include <openssl/objects.h>
#include <openssl/dh.h>
@@ -305,6 +305,13 @@ static int protocol_from_string(const char *value)
const char *name;
int version;
};
+ /*
+ * Note: To avoid breaking previously valid configurations, we must retain
+ * legacy entries in this table even if the underlying protocol is no
+ * longer supported. This also means that the constants SSL3_VERSION, ...
+ * need to be retained indefinitely. This table can only grow, never
+ * shrink.
+ */
static const struct protocol_versions versions[] = {
{"None", 0},
{"SSLv3", SSL3_VERSION},
diff --git a/ssl/ssl_init.c b/ssl/ssl_init.c
index f0969fa9..d083d959 100644
--- a/ssl/ssl_init.c
+++ b/ssl/ssl_init.c
@@ -12,7 +12,7 @@
#include "internal/err.h"
#include <openssl/crypto.h>
#include <openssl/evp.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include "internal/thread_once.h"
static int stopped;
diff --git a/ssl/ssl_lib.c b/ssl/ssl_lib.c
index ac820cf9..98057921 100644
--- a/ssl/ssl_lib.c
+++ b/ssl/ssl_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -10,7 +10,7 @@
*/
#include <stdio.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/objects.h>
#include <openssl/x509v3.h>
#include <openssl/rand.h>
@@ -1200,6 +1200,8 @@ void SSL_free(SSL *s)
OPENSSL_free(s->ext.ocsp.resp);
OPENSSL_free(s->ext.alpn);
OPENSSL_free(s->ext.tls13_cookie);
+ if (s->clienthello != NULL)
+ OPENSSL_free(s->clienthello->pre_proc_exts);
OPENSSL_free(s->clienthello);
OPENSSL_free(s->pha_context);
EVP_MD_CTX_free(s->pha_dgst);
@@ -2623,31 +2625,85 @@ char *SSL_get_shared_ciphers(const SSL *s, char *buf, int size)
return buf;
}
-/** return a servername extension value if provided in Client Hello, or NULL.
- * So far, only host_name types are defined (RFC 3546).
+/**
+ * Return the requested servername (SNI) value. Note that the behaviour varies
+ * depending on:
+ * - whether this is called by the client or the server,
+ * - if we are before or during/after the handshake,
+ * - if a resumption or normal handshake is being attempted/has occurred
+ * - whether we have negotiated TLSv1.2 (or below) or TLSv1.3
+ *
+ * Note that only the host_name type is defined (RFC 3546).
*/
-
const char *SSL_get_servername(const SSL *s, const int type)
{
+ /*
+ * If we don't know if we are the client or the server yet then we assume
+ * client.
+ */
+ int server = s->handshake_func == NULL ? 0 : s->server;
if (type != TLSEXT_NAMETYPE_host_name)
return NULL;
- /*
- * SNI is not negotiated in pre-TLS-1.3 resumption flows, so fake up an
- * SNI value to return if we are resuming/resumed. N.B. that we still
- * call the relevant callbacks for such resumption flows, and callbacks
- * might error out if there is not a SNI value available.
- */
- if (s->hit)
- return s->session->ext.hostname;
+ if (server) {
+ /**
+ * Server side
+ * In TLSv1.3 on the server SNI is not associated with the session
+ * but in TLSv1.2 or below it is.
+ *
+ * Before the handshake:
+ * - return NULL
+ *
+ * During/after the handshake (TLSv1.2 or below resumption occurred):
+ * - If a servername was accepted by the server in the original
+ * handshake then it will return that servername, or NULL otherwise.
+ *
+ * During/after the handshake (TLSv1.2 or below resumption did not occur):
+ * - The function will return the servername requested by the client in
+ * this handshake or NULL if none was requested.
+ */
+ if (s->hit && !SSL_IS_TLS13(s))
+ return s->session->ext.hostname;
+ } else {
+ /**
+ * Client side
+ *
+ * Before the handshake:
+ * - If a servername has been set via a call to
+ * SSL_set_tlsext_host_name() then it will return that servername
+ * - If one has not been set, but a TLSv1.2 resumption is being
+ * attempted and the session from the original handshake had a
+ * servername accepted by the server then it will return that
+ * servername
+ * - Otherwise it returns NULL
+ *
+ * During/after the handshake (TLSv1.2 or below resumption occurred):
+ * - If the session from the original handshake had a servername accepted
+ * by the server then it will return that servername.
+ * - Otherwise it returns the servername set via
+ * SSL_set_tlsext_host_name() (or NULL if it was not called).
+ *
+ * During/after the handshake (TLSv1.2 or below resumption did not occur):
+ * - It will return the servername set via SSL_set_tlsext_host_name()
+ * (or NULL if it was not called).
+ */
+ if (SSL_in_before(s)) {
+ if (s->ext.hostname == NULL
+ && s->session != NULL
+ && s->session->ssl_version != TLS1_3_VERSION)
+ return s->session->ext.hostname;
+ } else {
+ if (!SSL_IS_TLS13(s) && s->hit && s->session->ext.hostname != NULL)
+ return s->session->ext.hostname;
+ }
+ }
+
return s->ext.hostname;
}
int SSL_get_servername_type(const SSL *s)
{
- if (s->session
- && (!s->ext.hostname ? s->session->
- ext.hostname : s->ext.hostname))
+ if (SSL_get_servername(s, TLSEXT_NAMETYPE_host_name) != NULL)
return TLSEXT_NAMETYPE_host_name;
return -1;
}
@@ -2841,7 +2897,8 @@ int SSL_export_keying_material(SSL *s, unsigned char *out, size_t olen,
const unsigned char *context, size_t contextlen,
int use_context)
{
- if (s->version < TLS1_VERSION && s->version != DTLS1_BAD_VER)
+ if (s->session == NULL
+ || (s->version < TLS1_VERSION && s->version != DTLS1_BAD_VER))
return -1;
return s->method->ssl3_enc->export_keying_material(s, out, olen, label,
@@ -3770,6 +3827,8 @@ SSL *SSL_dup(SSL *s)
goto err;
ret->version = s->version;
ret->options = s->options;
+ ret->min_proto_version = s->min_proto_version;
+ ret->max_proto_version = s->max_proto_version;
ret->mode = s->mode;
SSL_set_max_cert_list(ret, SSL_get_max_cert_list(s));
SSL_set_read_ahead(ret, SSL_get_read_ahead(s));
@@ -3785,21 +3844,6 @@ SSL *SSL_dup(SSL *s)
if (!CRYPTO_dup_ex_data(CRYPTO_EX_INDEX_SSL, &ret->ex_data, &s->ex_data))
goto err;
- /* setup rbio, and wbio */
- if (s->rbio != NULL) {
- if (!BIO_dup_state(s->rbio, (char *)&ret->rbio))
- goto err;
- }
- if (s->wbio != NULL) {
- if (s->wbio != s->rbio) {
- if (!BIO_dup_state(s->wbio, (char *)&ret->wbio))
- goto err;
- } else {
- BIO_up_ref(ret->rbio);
- ret->wbio = ret->rbio;
- }
- }
-
ret->server = s->server;
if (s->handshake_func) {
if (s->server)
diff --git a/ssl/ssl_locl.h b/ssl/ssl_local.h
similarity index 99%
rename from ssl/ssl_locl.h
rename to ssl/ssl_local.h
index 25875c9f..8c3542a5 100644
--- a/ssl/ssl_locl.h
+++ b/ssl/ssl_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -9,8 +9,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SSL_LOCL_H
-# define HEADER_SSL_LOCL_H
+#ifndef OSSL_SSL_LOCAL_H
+# define OSSL_SSL_LOCAL_H
# include "e_os.h" /* struct timeval for DTLS */
# include <stdlib.h>
@@ -30,7 +30,7 @@
# include <openssl/ct.h>
# include "record/record.h"
# include "statem/statem.h"
-# include "packet_locl.h"
+# include "packet_local.h"
# include "internal/dane.h"
# include "internal/refcount.h"
# include "internal/tsan_assist.h"
@@ -537,7 +537,6 @@ struct ssl_session_st {
int not_resumable;
/* This is the cert and type for the other end. */
X509 *peer;
- int peer_type;
/* Certificate chain peer sent. */
STACK_OF(X509) *peer_chain;
/*
@@ -2581,7 +2580,7 @@ __owur int tls_check_sigalg_curve(const SSL *s, int curve);
# endif
__owur int tls12_check_peer_sigalg(SSL *s, uint16_t, EVP_PKEY *pkey);
__owur int ssl_set_client_disabled(SSL *s);
-__owur int ssl_cipher_disabled(SSL *s, const SSL_CIPHER *c, int op, int echde);
+__owur int ssl_cipher_disabled(const SSL *s, const SSL_CIPHER *c, int op, int echde);
__owur int ssl_handshake_hash(SSL *s, unsigned char *out, size_t outlen,
size_t *hashlen);
diff --git a/ssl/ssl_mcnf.c b/ssl/ssl_mcnf.c
index a0e26577..583df416 100644
--- a/ssl/ssl_mcnf.c
+++ b/ssl/ssl_mcnf.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <openssl/conf.h>
#include <openssl/ssl.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include "internal/sslconf.h"
/* SSL library configuration module. */
diff --git a/ssl/ssl_rsa.c b/ssl/ssl_rsa.c
index 172e15f9..6457c0c0 100644
--- a/ssl/ssl_rsa.c
+++ b/ssl/ssl_rsa.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,8 +8,8 @@
*/
#include <stdio.h>
-#include "ssl_locl.h"
-#include "packet_locl.h"
+#include "ssl_local.h"
+#include "packet_local.h"
#include <openssl/bio.h>
#include <openssl/objects.h>
#include <openssl/evp.h>
@@ -148,15 +148,6 @@ static int ssl_set_pkey(CERT *c, EVP_PKEY *pkey)
EVP_PKEY_copy_parameters(pktmp, pkey);
ERR_clear_error();
-#ifndef OPENSSL_NO_RSA
- /*
- * Don't check the public/private key, this is mostly for smart
- * cards.
- */
- if (EVP_PKEY_id(pkey) == EVP_PKEY_RSA
- && RSA_flags(EVP_PKEY_get0_RSA(pkey)) & RSA_METHOD_FLAG_NO_CHECK) ;
- else
-#endif
if (!X509_check_private_key(c->pkeys[i].x509, pkey)) {
X509_free(c->pkeys[i].x509);
c->pkeys[i].x509 = NULL;
@@ -342,16 +333,6 @@ static int ssl_set_cert(CERT *c, X509 *x)
EVP_PKEY_copy_parameters(pkey, c->pkeys[i].privatekey);
ERR_clear_error();
-#ifndef OPENSSL_NO_RSA
- /*
- * Don't check the public/private key, this is mostly for smart
- * cards.
- */
- if (EVP_PKEY_id(c->pkeys[i].privatekey) == EVP_PKEY_RSA
- && RSA_flags(EVP_PKEY_get0_RSA(c->pkeys[i].privatekey)) &
- RSA_METHOD_FLAG_NO_CHECK) ;
- else
-#endif /* OPENSSL_NO_RSA */
if (!X509_check_private_key(x, c->pkeys[i].privatekey)) {
/*
* don't fail for a cert/key mismatch, just free current private
@@ -1082,13 +1063,6 @@ static int ssl_set_cert_and_key(SSL *ssl, SSL_CTX *ctx, X509 *x509, EVP_PKEY *pr
EVP_PKEY_copy_parameters(pubkey, privatekey);
} /* else both have parameters */
- /* Copied from ssl_set_cert/pkey */
-#ifndef OPENSSL_NO_RSA
- if ((EVP_PKEY_id(privatekey) == EVP_PKEY_RSA) &&
- ((RSA_flags(EVP_PKEY_get0_RSA(privatekey)) & RSA_METHOD_FLAG_NO_CHECK)))
- /* no-op */ ;
- else
-#endif
/* check that key <-> cert match */
if (EVP_PKEY_cmp(pubkey, privatekey) != 1) {
SSLerr(SSL_F_SSL_SET_CERT_AND_KEY, SSL_R_PRIVATE_KEY_MISMATCH);
diff --git a/ssl/ssl_sess.c b/ssl/ssl_sess.c
index 52cfa7ef..cda6b7cc 100644
--- a/ssl/ssl_sess.c
+++ b/ssl/ssl_sess.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2005 Nokia. All rights reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -13,8 +13,8 @@
#include <openssl/engine.h>
#include "internal/refcount.h"
#include "internal/cryptlib.h"
-#include "ssl_locl.h"
-#include "statem/statem_locl.h"
+#include "ssl_local.h"
+#include "statem/statem_local.h"
static void SSL_SESSION_list_remove(SSL_CTX *ctx, SSL_SESSION *s);
static void SSL_SESSION_list_add(SSL_CTX *ctx, SSL_SESSION *s);
@@ -107,7 +107,7 @@ SSL_SESSION *ssl_session_dup(SSL_SESSION *src, int ticket)
{
SSL_SESSION *dest;
- dest = OPENSSL_malloc(sizeof(*src));
+ dest = OPENSSL_malloc(sizeof(*dest));
if (dest == NULL) {
goto err;
}
diff --git a/ssl/ssl_stat.c b/ssl/ssl_stat.c
index 179513b1..ca51c033 100644
--- a/ssl/ssl_stat.c
+++ b/ssl/ssl_stat.c
@@ -9,7 +9,7 @@
*/
#include <stdio.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
const char *SSL_state_string_long(const SSL *s)
{
diff --git a/ssl/ssl_txt.c b/ssl/ssl_txt.c
index cf6e4c3c..457bc8b3 100644
--- a/ssl/ssl_txt.c
+++ b/ssl/ssl_txt.c
@@ -10,7 +10,7 @@
#include <stdio.h>
#include <openssl/buffer.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#ifndef OPENSSL_NO_STDIO
int SSL_SESSION_print_fp(FILE *fp, const SSL_SESSION *x)
diff --git a/ssl/ssl_utst.c b/ssl/ssl_utst.c
index cea1bc27..487f56e5 100644
--- a/ssl/ssl_utst.c
+++ b/ssl/ssl_utst.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ssl_locl.h"
+#include "ssl_local.h"
#ifndef OPENSSL_NO_UNIT_TEST
diff --git a/ssl/statem/README b/ssl/statem/README
index 145c69db..86cc0663 100644
--- a/ssl/statem/README
+++ b/ssl/statem/README
@@ -40,7 +40,7 @@ Conceptually the state machine component is designed as follows:
| |
| Core state machine code |
|____________________________|
- statem_locl.h ^ ^
+ statem_local.h ^ ^
_________| |_______
| |
_____________|____________ _____________|____________
diff --git a/ssl/statem/extensions.c b/ssl/statem/extensions.c
index 24410991..9f51a6eb 100644
--- a/ssl/statem/extensions.c
+++ b/ssl/statem/extensions.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,8 +10,8 @@
#include <string.h>
#include "internal/nelem.h"
#include "internal/cryptlib.h"
-#include "../ssl_locl.h"
-#include "statem_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
#include "internal/cryptlib.h"
static int final_renegotiate(SSL *s, unsigned int context, int sent);
@@ -94,7 +94,7 @@ typedef struct extensions_definition_st {
/*
* Definitions of all built-in extensions. NOTE: Changes in the number or order
* of these extensions should be mirrored with equivalent changes to the
- * indexes ( TLSEXT_IDX_* ) defined in ssl_locl.h.
+ * indexes ( TLSEXT_IDX_* ) defined in ssl_local.h.
* Each extension has an initialiser, a client and
* server side parser and a finaliser. The initialiser is called (if the
* extension is relevant to the given context) even if we did not see the
@@ -949,8 +949,7 @@ static int final_server_name(SSL *s, unsigned int context, int sent)
* was successful.
*/
if (s->server) {
- /* TODO(OpenSSL1.2) revisit !sent case */
- if (sent && ret == SSL_TLSEXT_ERR_OK && (!s->hit || SSL_IS_TLS13(s))) {
+ if (sent && ret == SSL_TLSEXT_ERR_OK && !s->hit) {
/* Only store the hostname in the session if we accepted it. */
OPENSSL_free(s->session->ext.hostname);
s->session->ext.hostname = OPENSSL_strdup(s->ext.hostname);
@@ -967,7 +966,8 @@ static int final_server_name(SSL *s, unsigned int context, int sent)
* context, to avoid the confusing situation of having sess_accept_good
* exceed sess_accept (zero) for the new context.
*/
- if (SSL_IS_FIRST_HANDSHAKE(s) && s->ctx != s->session_ctx) {
+ if (SSL_IS_FIRST_HANDSHAKE(s) && s->ctx != s->session_ctx
+ && s->hello_retry_request == SSL_HRR_NONE) {
tsan_counter(&s->ctx->stats.sess_accept);
tsan_decr(&s->session_ctx->stats.sess_accept);
}
@@ -1011,6 +1011,7 @@ static int final_server_name(SSL *s, unsigned int context, int sent)
/* TLSv1.3 doesn't have warning alerts so we suppress this */
if (!SSL_IS_TLS13(s))
ssl3_send_alert(s, SSL3_AL_WARNING, altmp);
+ s->servername_done = 0;
return 1;
case SSL_TLSEXT_ERR_NOACK:
@@ -1168,14 +1169,26 @@ static int init_etm(SSL *s, unsigned int context)
static int init_ems(SSL *s, unsigned int context)
{
- if (!s->server)
+ if (s->s3->flags & TLS1_FLAGS_RECEIVED_EXTMS) {
s->s3->flags &= ~TLS1_FLAGS_RECEIVED_EXTMS;
+ s->s3->flags |= TLS1_FLAGS_REQUIRED_EXTMS;
+ }
return 1;
}
static int final_ems(SSL *s, unsigned int context, int sent)
{
+ /*
+ * Check extended master secret extension is not dropped on
+ * renegotiation.
+ */
+ if (!(s->s3->flags & TLS1_FLAGS_RECEIVED_EXTMS)
+ && (s->s3->flags & TLS1_FLAGS_REQUIRED_EXTMS)) {
+ SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE, SSL_F_FINAL_EMS,
+ SSL_R_INCONSISTENT_EXTMS);
+ return 0;
+ }
if (!s->server && s->hit) {
/*
* Check extended master secret extension is consistent with
@@ -1449,7 +1462,7 @@ int tls_psk_do_binder(SSL *s, const EVP_MD *md, const unsigned char *msgstart,
unsigned char finishedkey[EVP_MAX_MD_SIZE], tmpbinder[EVP_MAX_MD_SIZE];
unsigned char *early_secret;
#ifdef CHARSET_EBCDIC
- static const unsigned char resumption_label[] = { 0x72, 0x65, 0x64, 0x20, 0x62, 0x69, 0x6E, 0x64, 0x65, 0x72, 0x00 };
+ static const unsigned char resumption_label[] = { 0x72, 0x65, 0x73, 0x20, 0x62, 0x69, 0x6E, 0x64, 0x65, 0x72, 0x00 };
static const unsigned char external_label[] = { 0x65, 0x78, 0x74, 0x20, 0x62, 0x69, 0x6E, 0x64, 0x65, 0x72, 0x00 };
#else
static const unsigned char resumption_label[] = "res binder";
diff --git a/ssl/statem/extensions_clnt.c b/ssl/statem/extensions_clnt.c
index f0ae642f..bcce0f1d 100644
--- a/ssl/statem/extensions_clnt.c
+++ b/ssl/statem/extensions_clnt.c
@@ -8,9 +8,9 @@
*/
#include <openssl/ocsp.h>
-#include "../ssl_locl.h"
+#include "../ssl_local.h"
#include "internal/cryptlib.h"
-#include "statem_locl.h"
+#include "statem_local.h"
EXT_RETURN tls_construct_ctos_renegotiate(SSL *s, WPACKET *pkt,
unsigned int context, X509 *x,
diff --git a/ssl/statem/extensions_cust.c b/ssl/statem/extensions_cust.c
index a4cdc81d..a0ba18ef 100644
--- a/ssl/statem/extensions_cust.c
+++ b/ssl/statem/extensions_cust.c
@@ -10,9 +10,9 @@
/* Custom extension utility functions */
#include <openssl/ct.h>
-#include "../ssl_locl.h"
+#include "../ssl_local.h"
#include "internal/cryptlib.h"
-#include "statem_locl.h"
+#include "statem_local.h"
typedef struct {
void *add_arg;
diff --git a/ssl/statem/extensions_srvr.c b/ssl/statem/extensions_srvr.c
index ab5453f6..3c7395c0 100644
--- a/ssl/statem/extensions_srvr.c
+++ b/ssl/statem/extensions_srvr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,8 +8,8 @@
*/
#include <openssl/ocsp.h>
-#include "../ssl_locl.h"
-#include "statem_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
#include "internal/cryptlib.h"
#define COOKIE_STATE_FORMAT_VERSION 0
@@ -127,6 +127,10 @@ int tls_parse_ctos_server_name(SSL *s, PACKET *pkt, unsigned int context,
return 0;
}
+ /*
+ * In TLSv1.2 and below the SNI is associated with the session. In TLSv1.3
+ * we always use the SNI value from the handshake.
+ */
if (!s->hit || SSL_IS_TLS13(s)) {
if (PACKET_remaining(&hostname) > TLSEXT_MAXLEN_host_name) {
SSLfatal(s, SSL_AD_UNRECOGNIZED_NAME,
@@ -155,8 +159,12 @@ int tls_parse_ctos_server_name(SSL *s, PACKET *pkt, unsigned int context,
}
s->servername_done = 1;
- }
- if (s->hit) {
+ } else {
+ /*
+ * In TLSv1.2 and below we should check if the SNI is consistent between
+ * the initial handshake and the resumption. In TLSv1.3 SNI is not
+ * associated with the session.
+ */
/*
* TODO(openssl-team): if the SNI doesn't match, we MUST
* fall back to a full handshake.
@@ -164,9 +172,6 @@ int tls_parse_ctos_server_name(SSL *s, PACKET *pkt, unsigned int context,
s->servername_done = (s->session->ext.hostname != NULL)
&& PACKET_equal(&hostname, s->session->ext.hostname,
strlen(s->session->ext.hostname));
-
- if (!s->servername_done && s->session->ext.hostname != NULL)
- s->ext.early_data_ok = 0;
}
return 1;
@@ -1146,7 +1151,7 @@ int tls_parse_ctos_psk(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
if (sesstmp == NULL) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_PARSE_CTOS_PSK, ERR_R_INTERNAL_ERROR);
- return 0;
+ goto err;
}
SSL_SESSION_free(sess);
sess = sesstmp;
@@ -1330,8 +1335,14 @@ EXT_RETURN tls_construct_stoc_server_name(SSL *s, WPACKET *pkt,
unsigned int context, X509 *x,
size_t chainidx)
{
- if (s->hit || s->servername_done != 1
- || s->ext.hostname == NULL)
+ if (s->servername_done != 1)
+ return EXT_RETURN_NOT_SENT;
+
+ /*
+ * Prior to TLSv1.3 we ignore any SNI in the current handshake if resuming.
+ * We just use the servername from the initial handshake.
+ */
+ if (s->hit && !SSL_IS_TLS13(s))
return EXT_RETURN_NOT_SENT;
if (!WPACKET_put_bytes_u16(pkt, TLSEXT_TYPE_server_name)
diff --git a/ssl/statem/statem.c b/ssl/statem/statem.c
index e3c5ec00..20f5bd58 100644
--- a/ssl/statem/statem.c
+++ b/ssl/statem/statem.c
@@ -9,8 +9,8 @@
#include "internal/cryptlib.h"
#include <openssl/rand.h>
-#include "../ssl_locl.h"
-#include "statem_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
#include <assert.h>
/*
diff --git a/ssl/statem/statem_clnt.c b/ssl/statem/statem_clnt.c
index 6410414f..d84cc046 100644
--- a/ssl/statem/statem_clnt.c
+++ b/ssl/statem/statem_clnt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -12,8 +12,8 @@
#include <stdio.h>
#include <time.h>
#include <assert.h>
-#include "../ssl_locl.h"
-#include "statem_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
#include <openssl/buffer.h>
#include <openssl/rand.h>
#include <openssl/objects.h>
@@ -1960,7 +1960,6 @@ MSG_PROCESS_RETURN tls_process_server_certificate(SSL *s, PACKET *pkt)
goto err;
}
}
- s->session->peer_type = certidx;
X509_free(s->session->peer);
X509_up_ref(x);
@@ -2145,17 +2144,19 @@ static int tls_process_ske_dhe(SSL *s, PACKET *pkt, EVP_PKEY **pkey)
}
bnpub_key = NULL;
- if (!ssl_security(s, SSL_SECOP_TMP_DH, DH_security_bits(dh), 0, dh)) {
- SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE, SSL_F_TLS_PROCESS_SKE_DHE,
- SSL_R_DH_KEY_TOO_SMALL);
- goto err;
- }
-
if (EVP_PKEY_assign_DH(peer_tmp, dh) == 0) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PROCESS_SKE_DHE,
ERR_R_EVP_LIB);
goto err;
}
+ dh = NULL;
+
+ if (!ssl_security(s, SSL_SECOP_TMP_DH, EVP_PKEY_security_bits(peer_tmp),
+ 0, peer_tmp)) {
+ SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE, SSL_F_TLS_PROCESS_SKE_DHE,
+ SSL_R_DH_KEY_TOO_SMALL);
+ goto err;
+ }
s->s3->peer_tmp = peer_tmp;
diff --git a/ssl/statem/statem_dtls.c b/ssl/statem/statem_dtls.c
index b016fa7c..8e3fb686 100644
--- a/ssl/statem/statem_dtls.c
+++ b/ssl/statem/statem_dtls.c
@@ -10,8 +10,8 @@
#include <limits.h>
#include <string.h>
#include <stdio.h>
-#include "../ssl_locl.h"
-#include "statem_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/objects.h>
diff --git a/ssl/statem/statem_lib.c b/ssl/statem/statem_lib.c
index 22e9f049..c3b6f8f4 100644
--- a/ssl/statem/statem_lib.c
+++ b/ssl/statem/statem_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -11,8 +11,8 @@
#include <limits.h>
#include <string.h>
#include <stdio.h>
-#include "../ssl_locl.h"
-#include "statem_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/objects.h>
@@ -169,17 +169,17 @@ static int get_cert_verify_tbs_data(SSL *s, unsigned char *tls13tbs,
void **hdata, size_t *hdatalen)
{
#ifdef CHARSET_EBCDIC
- static const char *servercontext = { 0x54, 0x4c, 0x53, 0x20, 0x31, 0x2e,
+ static const char servercontext[] = { 0x54, 0x4c, 0x53, 0x20, 0x31, 0x2e,
0x33, 0x2c, 0x20, 0x73, 0x65, 0x72, 0x76, 0x65, 0x72, 0x20, 0x43, 0x65,
0x72, 0x74, 0x69, 0x66, 0x69, 0x63, 0x61, 0x74, 0x65, 0x56, 0x65, 0x72,
0x69, 0x66, 0x79, 0x00 };
- static const char *clientcontext = { 0x54, 0x4c, 0x53, 0x20, 0x31, 0x2e,
+ static const char clientcontext[] = { 0x54, 0x4c, 0x53, 0x20, 0x31, 0x2e,
0x33, 0x2c, 0x20, 0x63, 0x6c, 0x69, 0x65, 0x6e, 0x74, 0x20, 0x43, 0x65,
0x72, 0x74, 0x69, 0x66, 0x69, 0x63, 0x61, 0x74, 0x65, 0x56, 0x65, 0x72,
0x69, 0x66, 0x79, 0x00 };
#else
- static const char *servercontext = "TLS 1.3, server CertificateVerify";
- static const char *clientcontext = "TLS 1.3, client CertificateVerify";
+ static const char servercontext[] = "TLS 1.3, server CertificateVerify";
+ static const char clientcontext[] = "TLS 1.3, client CertificateVerify";
#endif
if (SSL_IS_TLS13(s)) {
size_t hashlen;
@@ -844,9 +844,11 @@ MSG_PROCESS_RETURN tls_process_finished(SSL *s, PACKET *pkt)
return MSG_PROCESS_ERROR;
}
} else {
+ /* TLS 1.3 gets the secret size from the handshake md */
+ size_t dummy;
if (!s->method->ssl3_enc->generate_master_secret(s,
s->master_secret, s->handshake_secret, 0,
- &s->session->master_key_length)) {
+ &dummy)) {
/* SSLfatal() already called */
return MSG_PROCESS_ERROR;
}
@@ -1033,14 +1035,25 @@ WORK_STATE tls_finish_handshake(SSL *s, WORK_STATE wst, int clearbufs, int stop)
int cleanuphand = s->statem.cleanuphand;
if (clearbufs) {
- if (!SSL_IS_DTLS(s)) {
+ if (!SSL_IS_DTLS(s)
+#ifndef OPENSSL_NO_SCTP
+ /*
+ * RFC6083: SCTP provides a reliable and in-sequence transport service for DTLS
+ * messages that require it. Therefore, DTLS procedures for retransmissions
+ * MUST NOT be used.
+ * Hence the init_buf can be cleared when DTLS over SCTP as transport is used.
+ */
+ || BIO_dgram_is_sctp(SSL_get_wbio(s))
+#endif
+ ) {
/*
- * We don't do this in DTLS because we may still need the init_buf
+ * We don't do this in DTLS over UDP because we may still need the init_buf
* in case there are any unexpected retransmits
*/
BUF_MEM_free(s->init_buf);
s->init_buf = NULL;
}
+
if (!ssl_free_wbio_buffer(s)) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_FINISH_HANDSHAKE,
ERR_R_INTERNAL_ERROR);
@@ -1328,6 +1341,7 @@ int tls_get_message_body(SSL *s, size_t *len)
static const X509ERR2ALERT x509table[] = {
{X509_V_ERR_APPLICATION_VERIFICATION, SSL_AD_HANDSHAKE_FAILURE},
{X509_V_ERR_CA_KEY_TOO_SMALL, SSL_AD_BAD_CERTIFICATE},
+ {X509_V_ERR_EC_KEY_EXPLICIT_PARAMS, SSL_AD_BAD_CERTIFICATE},
{X509_V_ERR_CA_MD_TOO_WEAK, SSL_AD_BAD_CERTIFICATE},
{X509_V_ERR_CERT_CHAIN_TOO_LONG, SSL_AD_UNKNOWN_CA},
{X509_V_ERR_CERT_HAS_EXPIRED, SSL_AD_CERTIFICATE_EXPIRED},
@@ -1490,8 +1504,8 @@ static int ssl_method_error(const SSL *s, const SSL_METHOD *method)
/*
* Only called by servers. Returns 1 if the server has a TLSv1.3 capable
- * certificate type, or has PSK or a certificate callback configured. Otherwise
- * returns 0.
+ * certificate type, or has PSK or a certificate callback configured, or has
+ * a servername callback configured. Otherwise returns 0.
*/
static int is_tls13_capable(const SSL *s)
{
@@ -1501,6 +1515,17 @@ static int is_tls13_capable(const SSL *s)
EC_KEY *eckey;
#endif
+ if (!ossl_assert(s->ctx != NULL) || !ossl_assert(s->session_ctx != NULL))
+ return 0;
+
+ /*
+ * A servername callback can change the available certs, so if a servername
+ * cb is set then we just assume TLSv1.3 will be ok
+ */
+ if (s->ctx->ext.servername_cb != NULL
+ || s->session_ctx->ext.servername_cb != NULL)
+ return 1;
+
#ifndef OPENSSL_NO_PSK
if (s->psk_server_callback != NULL)
return 1;
@@ -1643,11 +1668,22 @@ int ssl_check_version_downgrade(SSL *s)
*/
int ssl_set_version_bound(int method_version, int version, int *bound)
{
+ int valid_tls;
+ int valid_dtls;
+
if (version == 0) {
*bound = version;
return 1;
}
+ valid_tls = version >= SSL3_VERSION && version <= TLS_MAX_VERSION;
+ valid_dtls =
+ DTLS_VERSION_LE(version, DTLS_MAX_VERSION) &&
+ DTLS_VERSION_GE(version, DTLS1_BAD_VER);
+
+ if (!valid_tls && !valid_dtls)
+ return 0;
+
/*-
* Restrict TLS methods to TLS protocol versions.
* Restrict DTLS methods to DTLS protocol versions.
@@ -1658,31 +1694,24 @@ int ssl_set_version_bound(int method_version, int version, int *bound)
* configurations. If the MIN (supported) version ever rises, the user's
* "floor" remains valid even if no longer available. We don't expect the
* MAX ceiling to ever get lower, so making that variable makes sense.
+ *
+ * We ignore attempts to set bounds on version-inflexible methods,
+ * returning success.
*/
switch (method_version) {
default:
- /*
- * XXX For fixed version methods, should we always fail and not set any
- * bounds, always succeed and not set any bounds, or set the bounds and
- * arrange to fail later if they are not met? At present fixed-version
- * methods are not subject to controls that disable individual protocol
- * versions.
- */
- return 0;
+ break;
case TLS_ANY_VERSION:
- if (version < SSL3_VERSION || version > TLS_MAX_VERSION)
- return 0;
+ if (valid_tls)
+ *bound = version;
break;
case DTLS_ANY_VERSION:
- if (DTLS_VERSION_GT(version, DTLS_MAX_VERSION) ||
- DTLS_VERSION_LT(version, DTLS1_BAD_VER))
- return 0;
+ if (valid_dtls)
+ *bound = version;
break;
}
-
- *bound = version;
return 1;
}
diff --git a/ssl/statem/statem_locl.h b/ssl/statem/statem_local.h
similarity index 100%
rename from ssl/statem/statem_locl.h
rename to ssl/statem/statem_local.h
diff --git a/ssl/statem/statem_srvr.c b/ssl/statem/statem_srvr.c
index 8cf9c40d..cf45a40c 100644
--- a/ssl/statem/statem_srvr.c
+++ b/ssl/statem/statem_srvr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -10,9 +10,9 @@
*/
#include <stdio.h>
-#include "../ssl_locl.h"
-#include "statem_locl.h"
-#include "internal/constant_time_locl.h"
+#include "../ssl_local.h"
+#include "statem_local.h"
+#include "internal/constant_time.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/rand.h>
@@ -23,9 +23,24 @@
#include <openssl/dh.h>
#include <openssl/bn.h>
#include <openssl/md5.h>
+#include <openssl/asn1t.h>
#define TICKET_NONCE_SIZE 8
+typedef struct {
+ ASN1_TYPE *kxBlob;
+ ASN1_TYPE *opaqueBlob;
+} GOST_KX_MESSAGE;
+
+DECLARE_ASN1_FUNCTIONS(GOST_KX_MESSAGE)
+
+ASN1_SEQUENCE(GOST_KX_MESSAGE) = {
+ ASN1_SIMPLE(GOST_KX_MESSAGE, kxBlob, ASN1_ANY),
+ ASN1_OPT(GOST_KX_MESSAGE, opaqueBlob, ASN1_ANY),
+} ASN1_SEQUENCE_END(GOST_KX_MESSAGE)
+
+IMPLEMENT_ASN1_FUNCTIONS(GOST_KX_MESSAGE)
+
static int tls_construct_encrypted_extensions(SSL *s, WPACKET *pkt);
/*
@@ -728,7 +743,15 @@ WORK_STATE ossl_statem_server_pre_work(SSL *s, WORK_STATE wst)
case TLS_ST_SW_CHANGE:
if (SSL_IS_TLS13(s))
break;
- s->session->cipher = s->s3->tmp.new_cipher;
+ /* Writes to s->session are only safe for initial handshakes */
+ if (s->session->cipher == NULL) {
+ s->session->cipher = s->s3->tmp.new_cipher;
+ } else if (s->session->cipher != s->s3->tmp.new_cipher) {
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR,
+ SSL_F_OSSL_STATEM_SERVER_PRE_WORK,
+ ERR_R_INTERNAL_ERROR);
+ return WORK_ERROR;
+ }
if (!s->method->ssl3_enc->setup_key_block(s)) {
/* SSLfatal() already called */
return WORK_ERROR;
@@ -932,9 +955,11 @@ WORK_STATE ossl_statem_server_post_work(SSL *s, WORK_STATE wst)
}
#endif
if (SSL_IS_TLS13(s)) {
+ /* TLS 1.3 gets the secret size from the handshake md */
+ size_t dummy;
if (!s->method->ssl3_enc->generate_master_secret(s,
s->master_secret, s->handshake_secret, 0,
- &s->session->master_key_length)
+ &dummy)
|| !s->method->ssl3_enc->change_cipher_state(s,
SSL3_CC_APPLICATION | SSL3_CHANGE_CIPHER_SERVER_WRITE))
/* SSLfatal() already called */
@@ -2552,7 +2577,7 @@ int tls_construct_server_key_exchange(SSL *s, WPACKET *pkt)
s->s3->tmp.pkey = ssl_generate_pkey(pkdhp);
if (s->s3->tmp.pkey == NULL) {
- /* SSLfatal() already called */
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR, 0, ERR_R_INTERNAL_ERROR);
goto err;
}
@@ -3320,9 +3345,9 @@ static int tls_process_cke_gost(SSL *s, PACKET *pkt)
const unsigned char *start;
size_t outlen = 32, inlen;
unsigned long alg_a;
- unsigned int asn1id, asn1len;
+ GOST_KX_MESSAGE *pKX = NULL;
+ const unsigned char *ptr;
int ret = 0;
- PACKET encdata;
/* Get our certificate private key */
alg_a = s->s3->tmp.new_cipher->algorithm_auth;
@@ -3363,42 +3388,33 @@ static int tls_process_cke_gost(SSL *s, PACKET *pkt)
if (EVP_PKEY_derive_set_peer(pkey_ctx, client_pub_pkey) <= 0)
ERR_clear_error();
}
- /* Decrypt session key */
- if (!PACKET_get_1(pkt, &asn1id)
- || asn1id != (V_ASN1_SEQUENCE | V_ASN1_CONSTRUCTED)
- || !PACKET_peek_1(pkt, &asn1len)) {
- SSLfatal(s, SSL_AD_DECODE_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
- SSL_R_DECRYPTION_FAILED);
- goto err;
+
+ ptr = PACKET_data(pkt);
+ /* Some implementations provide extra data in the opaqueBlob
+ * We have nothing to do with this blob so we just skip it */
+ pKX = d2i_GOST_KX_MESSAGE(NULL, &ptr, PACKET_remaining(pkt));
+ if (pKX == NULL
+ || pKX->kxBlob == NULL
+ || ASN1_TYPE_get(pKX->kxBlob) != V_ASN1_SEQUENCE) {
+ SSLfatal(s, SSL_AD_DECODE_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
+ SSL_R_DECRYPTION_FAILED);
+ goto err;
}
- if (asn1len == 0x81) {
- /*
- * Long form length. Should only be one byte of length. Anything else
- * isn't supported.
- * We did a successful peek before so this shouldn't fail
- */
- if (!PACKET_forward(pkt, 1)) {
- SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
- SSL_R_DECRYPTION_FAILED);
- goto err;
- }
- } else if (asn1len >= 0x80) {
- /*
- * Indefinite length, or more than one long form length bytes. We don't
- * support it
- */
- SSLfatal(s, SSL_AD_DECODE_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
+
+ if (!PACKET_forward(pkt, ptr - PACKET_data(pkt))) {
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
SSL_R_DECRYPTION_FAILED);
goto err;
- } /* else short form length */
+ }
- if (!PACKET_as_length_prefixed_1(pkt, &encdata)) {
- SSLfatal(s, SSL_AD_DECODE_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
+ if (PACKET_remaining(pkt) != 0) {
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PROCESS_CKE_GOST,
SSL_R_DECRYPTION_FAILED);
goto err;
}
- inlen = PACKET_remaining(&encdata);
- start = PACKET_data(&encdata);
+
+ inlen = pKX->kxBlob->value.sequence->length;
+ start = pKX->kxBlob->value.sequence->data;
if (EVP_PKEY_decrypt(pkey_ctx, premaster_secret, &outlen, start,
inlen) <= 0) {
@@ -3420,6 +3436,7 @@ static int tls_process_cke_gost(SSL *s, PACKET *pkt)
ret = 1;
err:
EVP_PKEY_CTX_free(pkey_ctx);
+ GOST_KX_MESSAGE_free(pKX);
return ret;
#else
/* Should never happen */
diff --git a/ssl/t1_enc.c b/ssl/t1_enc.c
index 57fb17a6..c85c0b03 100644
--- a/ssl/t1_enc.c
+++ b/ssl/t1_enc.c
@@ -9,7 +9,7 @@
*/
#include <stdio.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/comp.h>
#include <openssl/evp.h>
#include <openssl/kdf.h>
@@ -466,7 +466,7 @@ int tls1_generate_master_secret(SSL *s, unsigned char *out, unsigned char *p,
unsigned char hash[EVP_MAX_MD_SIZE * 2];
size_t hashlen;
/*
- * Digest cached records keeping record buffer (if present): this wont
+ * Digest cached records keeping record buffer (if present): this won't
* affect client auth because we're freezing the buffer at the same
* point (after client key exchange and before certificate verify)
*/
diff --git a/ssl/t1_lib.c b/ssl/t1_lib.c
index b482019c..48d46f8a 100644
--- a/ssl/t1_lib.c
+++ b/ssl/t1_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -18,10 +18,11 @@
#include <openssl/dh.h>
#include <openssl/bn.h>
#include "internal/nelem.h"
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include <openssl/ct.h>
static const SIGALG_LOOKUP *find_sig_alg(SSL *s, X509 *x, EVP_PKEY *pkey);
+static int tls12_sigalg_allowed(const SSL *s, int op, const SIGALG_LOOKUP *lu);
SSL3_ENC_METHOD const TLSv1_enc_data = {
tls1_enc,
@@ -849,8 +850,11 @@ static int rsa_pss_check_min_key_size(const RSA *rsa, const SIGALG_LOOKUP *lu)
}
/*
- * Return a signature algorithm for TLS < 1.2 where the signature type
- * is fixed by the certificate type.
+ * Returns a signature algorithm when the peer did not send a list of supported
+ * signature algorithms. The signature algorithm is fixed for the certificate
+ * type. |idx| is a certificate type index (SSL_PKEY_*). When |idx| is -1 the
+ * certificate type from |s| will be used.
+ * Returns the signature algorithm to use, or NULL on error.
*/
static const SIGALG_LOOKUP *tls1_get_legacy_sigalg(const SSL *s, int idx)
{
@@ -893,8 +897,12 @@ static const SIGALG_LOOKUP *tls1_get_legacy_sigalg(const SSL *s, int idx)
if (!tls1_lookup_md(lu, NULL))
return NULL;
+ if (!tls12_sigalg_allowed(s, SSL_SECOP_SIGALG_SUPPORTED, lu))
+ return NULL;
return lu;
}
+ if (!tls12_sigalg_allowed(s, SSL_SECOP_SIGALG_SUPPORTED, &legacy_rsa_sigalg))
+ return NULL;
return &legacy_rsa_sigalg;
}
/* Set peer sigalg based key type */
@@ -983,6 +991,31 @@ int tls_check_sigalg_curve(const SSL *s, int curve)
}
#endif
+/*
+ * Return the number of security bits for the signature algorithm, or 0 on
+ * error.
+ */
+static int sigalg_security_bits(const SIGALG_LOOKUP *lu)
+{
+ const EVP_MD *md = NULL;
+ int secbits = 0;
+
+ if (!tls1_lookup_md(lu, &md))
+ return 0;
+ if (md != NULL)
+ {
+ /* Security bits: half digest bits */
+ secbits = EVP_MD_size(md) * 4;
+ } else {
+ /* Values from https://tools.ietf.org/html/rfc8032#section-8.5 */
+ if (lu->sigalg == TLSEXT_SIGALG_ed25519)
+ secbits = 128;
+ else if (lu->sigalg == TLSEXT_SIGALG_ed448)
+ secbits = 224;
+ }
+ return secbits;
+}
+
/*
* Check signature algorithm is consistent with sent supported signature
* algorithms and if so set relevant digest and signature scheme in
@@ -996,6 +1029,7 @@ int tls12_check_peer_sigalg(SSL *s, uint16_t sig, EVP_PKEY *pkey)
size_t sent_sigslen, i, cidx;
int pkeyid = EVP_PKEY_id(pkey);
const SIGALG_LOOKUP *lu;
+ int secbits = 0;
/* Should never happen */
if (pkeyid == -1)
@@ -1097,20 +1131,20 @@ int tls12_check_peer_sigalg(SSL *s, uint16_t sig, EVP_PKEY *pkey)
SSL_R_UNKNOWN_DIGEST);
return 0;
}
- if (md != NULL) {
- /*
- * Make sure security callback allows algorithm. For historical
- * reasons we have to pass the sigalg as a two byte char array.
- */
- sigalgstr[0] = (sig >> 8) & 0xff;
- sigalgstr[1] = sig & 0xff;
- if (!ssl_security(s, SSL_SECOP_SIGALG_CHECK,
- EVP_MD_size(md) * 4, EVP_MD_type(md),
- (void *)sigalgstr)) {
- SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE, SSL_F_TLS12_CHECK_PEER_SIGALG,
- SSL_R_WRONG_SIGNATURE_TYPE);
- return 0;
- }
+ /*
+ * Make sure security callback allows algorithm. For historical
+ * reasons we have to pass the sigalg as a two byte char array.
+ */
+ sigalgstr[0] = (sig >> 8) & 0xff;
+ sigalgstr[1] = sig & 0xff;
+ secbits = sigalg_security_bits(lu);
+ if (secbits == 0 ||
+ !ssl_security(s, SSL_SECOP_SIGALG_CHECK, secbits,
+ md != NULL ? EVP_MD_type(md) : NID_undef,
+ (void *)sigalgstr)) {
+ SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE, SSL_F_TLS12_CHECK_PEER_SIGALG,
+ SSL_R_WRONG_SIGNATURE_TYPE);
+ return 0;
}
/* Store the sigalg the peer uses */
s->s3->tmp.peer_sigalg = lu;
@@ -1176,7 +1210,7 @@ int ssl_set_client_disabled(SSL *s)
*
* Returns 1 when it's disabled, 0 when enabled.
*/
-int ssl_cipher_disabled(SSL *s, const SSL_CIPHER *c, int op, int ecdhe)
+int ssl_cipher_disabled(const SSL *s, const SSL_CIPHER *c, int op, int ecdhe)
{
if (c->algorithm_mkey & s->s3->tmp.mask_k
|| c->algorithm_auth & s->s3->tmp.mask_a)
@@ -1556,7 +1590,7 @@ SSL_TICKET_STATUS tls_decrypt_ticket(SSL *s, const unsigned char *etick,
}
/* Check to see if a signature algorithm is allowed */
-static int tls12_sigalg_allowed(SSL *s, int op, const SIGALG_LOOKUP *lu)
+static int tls12_sigalg_allowed(const SSL *s, int op, const SIGALG_LOOKUP *lu)
{
unsigned char sigalgstr[2];
int secbits;
@@ -1617,11 +1651,8 @@ static int tls12_sigalg_allowed(SSL *s, int op, const SIGALG_LOOKUP *lu)
}
}
- if (lu->hash == NID_undef)
- return 1;
- /* Security bits: half digest bits */
- secbits = EVP_MD_size(ssl_md(lu->hash_idx)) * 4;
/* Finally see if security callback allows it */
+ secbits = sigalg_security_bits(lu);
sigalgstr[0] = (lu->sigalg >> 8) & 0xff;
sigalgstr[1] = lu->sigalg & 0xff;
return ssl_security(s, op, secbits, lu->hash, (void *)sigalgstr);
@@ -2099,7 +2130,7 @@ static int tls1_check_sig_alg(SSL *s, X509 *x, int default_nid)
sigalg = use_pc_sigalgs
? tls1_lookup_sigalg(s->s3->tmp.peer_cert_sigalgs[i])
: s->shared_sigalgs[i];
- if (sig_nid == sigalg->sigandhash)
+ if (sigalg != NULL && sig_nid == sigalg->sigandhash)
return 1;
}
return 0;
@@ -2408,46 +2439,48 @@ int SSL_check_chain(SSL *s, X509 *x, EVP_PKEY *pk, STACK_OF(X509) *chain)
#ifndef OPENSSL_NO_DH
DH *ssl_get_auto_dh(SSL *s)
{
+ DH *dhp = NULL;
+ BIGNUM *p = NULL, *g = NULL;
int dh_secbits = 80;
- if (s->cert->dh_tmp_auto == 2)
- return DH_get_1024_160();
- if (s->s3->tmp.new_cipher->algorithm_auth & (SSL_aNULL | SSL_aPSK)) {
- if (s->s3->tmp.new_cipher->strength_bits == 256)
- dh_secbits = 128;
- else
- dh_secbits = 80;
- } else {
- if (s->s3->tmp.cert == NULL)
- return NULL;
- dh_secbits = EVP_PKEY_security_bits(s->s3->tmp.cert->privatekey);
+ if (s->cert->dh_tmp_auto != 2) {
+ if (s->s3->tmp.new_cipher->algorithm_auth & (SSL_aNULL | SSL_aPSK)) {
+ if (s->s3->tmp.new_cipher->strength_bits == 256)
+ dh_secbits = 128;
+ else
+ dh_secbits = 80;
+ } else {
+ if (s->s3->tmp.cert == NULL)
+ return NULL;
+ dh_secbits = EVP_PKEY_security_bits(s->s3->tmp.cert->privatekey);
+ }
}
- if (dh_secbits >= 128) {
- DH *dhp = DH_new();
- BIGNUM *p, *g;
- if (dhp == NULL)
- return NULL;
- g = BN_new();
- if (g == NULL || !BN_set_word(g, 2)) {
- DH_free(dhp);
- BN_free(g);
- return NULL;
- }
- if (dh_secbits >= 192)
- p = BN_get_rfc3526_prime_8192(NULL);
- else
- p = BN_get_rfc3526_prime_3072(NULL);
- if (p == NULL || !DH_set0_pqg(dhp, p, NULL, g)) {
- DH_free(dhp);
- BN_free(p);
- BN_free(g);
- return NULL;
- }
- return dhp;
+ dhp = DH_new();
+ if (dhp == NULL)
+ return NULL;
+ g = BN_new();
+ if (g == NULL || !BN_set_word(g, 2)) {
+ DH_free(dhp);
+ BN_free(g);
+ return NULL;
}
- if (dh_secbits >= 112)
- return DH_get_2048_224();
- return DH_get_1024_160();
+ if (dh_secbits >= 192)
+ p = BN_get_rfc3526_prime_8192(NULL);
+ else if (dh_secbits >= 152)
+ p = BN_get_rfc3526_prime_4096(NULL);
+ else if (dh_secbits >= 128)
+ p = BN_get_rfc3526_prime_3072(NULL);
+ else if (dh_secbits >= 112)
+ p = BN_get_rfc3526_prime_2048(NULL);
+ else
+ p = BN_get_rfc2409_prime_1024(NULL);
+ if (p == NULL || !DH_set0_pqg(dhp, p, NULL, g)) {
+ DH_free(dhp);
+ BN_free(p);
+ BN_free(g);
+ return NULL;
+ }
+ return dhp;
}
#endif
@@ -2774,6 +2807,26 @@ int tls_choose_sigalg(SSL *s, int fatalerrs)
#endif
break;
}
+#ifndef OPENSSL_NO_GOST
+ /*
+ * Some Windows-based implementations do not send GOST algorithms indication
+ * in supported_algorithms extension, so when we have GOST-based ciphersuite,
+ * we have to assume GOST support.
+ */
+ if (i == s->shared_sigalgslen && s->s3->tmp.new_cipher->algorithm_auth & (SSL_aGOST01 | SSL_aGOST12)) {
+ if ((lu = tls1_get_legacy_sigalg(s, -1)) == NULL) {
+ if (!fatalerrs)
+ return 1;
+ SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE,
+ SSL_F_TLS_CHOOSE_SIGALG,
+ SSL_R_NO_SUITABLE_SIGNATURE_ALGORITHM);
+ return 0;
+ } else {
+ i = 0;
+ sig_idx = lu->sig_idx;
+ }
+ }
+#endif
if (i == s->shared_sigalgslen) {
if (!fatalerrs)
return 1;
diff --git a/ssl/t1_trce.c b/ssl/t1_trce.c
index be3039af..e2c397b7 100644
--- a/ssl/t1_trce.c
+++ b/ssl/t1_trce.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "ssl_locl.h"
+#include "ssl_local.h"
#ifndef OPENSSL_NO_SSL_TRACE
@@ -656,7 +656,10 @@ static int ssl_print_random(BIO *bio, int indent,
if (*pmsglen < 32)
return 0;
- tm = (p[0] << 24) | (p[1] << 16) | (p[2] << 8) | p[3];
+ tm = ((unsigned int)p[0] << 24)
+ | ((unsigned int)p[1] << 16)
+ | ((unsigned int)p[2] << 8)
+ | (unsigned int)p[3];
p += 4;
BIO_indent(bio, indent, 80);
BIO_puts(bio, "Random:\n");
@@ -864,8 +867,10 @@ static int ssl_print_extension(BIO *bio, int indent, int server,
break;
if (extlen != 4)
return 0;
- max_early_data = (ext[0] << 24) | (ext[1] << 16) | (ext[2] << 8)
- | ext[3];
+ max_early_data = ((unsigned int)ext[0] << 24)
+ | ((unsigned int)ext[1] << 16)
+ | ((unsigned int)ext[2] << 8)
+ | (unsigned int)ext[3];
BIO_indent(bio, indent + 2, 80);
BIO_printf(bio, "max_early_data=%u\n", max_early_data);
break;
@@ -1246,8 +1251,9 @@ static int ssl_print_certificates(BIO *bio, const SSL *ssl, int server,
while (clen > 0) {
if (!ssl_print_certificate(bio, indent + 2, &msg, &clen))
return 0;
- if (!ssl_print_extensions(bio, indent + 2, server, SSL3_MT_CERTIFICATE,
- &msg, &clen))
+ if (SSL_IS_TLS13(ssl)
+ && !ssl_print_extensions(bio, indent + 2, server,
+ SSL3_MT_CERTIFICATE, &msg, &clen))
return 0;
}
@@ -1355,7 +1361,10 @@ static int ssl_print_ticket(BIO *bio, int indent, const SSL *ssl,
}
if (msglen < 4)
return 0;
- tick_life = (msg[0] << 24) | (msg[1] << 16) | (msg[2] << 8) | msg[3];
+ tick_life = ((unsigned int)msg[0] << 24)
+ | ((unsigned int)msg[1] << 16)
+ | ((unsigned int)msg[2] << 8)
+ | (unsigned int)msg[3];
msglen -= 4;
msg += 4;
BIO_indent(bio, indent + 2, 80);
@@ -1366,7 +1375,10 @@ static int ssl_print_ticket(BIO *bio, int indent, const SSL *ssl,
if (msglen < 4)
return 0;
ticket_age_add =
- (msg[0] << 24) | (msg[1] << 16) | (msg[2] << 8) | msg[3];
+ ((unsigned int)msg[0] << 24)
+ | ((unsigned int)msg[1] << 16)
+ | ((unsigned int)msg[2] << 8)
+ | (unsigned int)msg[3];
msglen -= 4;
msg += 4;
BIO_indent(bio, indent + 2, 80);
diff --git a/ssl/tls13_enc.c b/ssl/tls13_enc.c
index b5f57a02..b8fb07f2 100644
--- a/ssl/tls13_enc.c
+++ b/ssl/tls13_enc.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,7 +8,7 @@
*/
#include <stdlib.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/kdf.h>
@@ -44,7 +44,7 @@ int tls13_hkdf_expand(SSL *s, const EVP_MD *md, const unsigned char *secret,
* prefix and label + bytes for the label itself + 1 byte length of hash
* + bytes for the hash itself
*/
- unsigned char hkdflabel[sizeof(uint16_t) + sizeof(uint8_t) +
+ unsigned char hkdflabel[sizeof(uint16_t) + sizeof(uint8_t)
+ (sizeof(label_prefix) - 1) + TLS13_MAX_LABEL_LEN
+ 1 + EVP_MAX_MD_SIZE];
WPACKET pkt;
@@ -390,11 +390,18 @@ static int derive_secret_key_and_iv(SSL *s, int sending, const EVP_MD *md,
uint32_t algenc;
ivlen = EVP_CCM_TLS_IV_LEN;
- if (s->s3->tmp.new_cipher == NULL) {
+ if (s->s3->tmp.new_cipher != NULL) {
+ algenc = s->s3->tmp.new_cipher->algorithm_enc;
+ } else if (s->session->cipher != NULL) {
/* We've not selected a cipher yet - we must be doing early data */
algenc = s->session->cipher->algorithm_enc;
+ } else if (s->psksession != NULL && s->psksession->cipher != NULL) {
+ /* We must be doing early data with out-of-band PSK */
+ algenc = s->psksession->cipher->algorithm_enc;
} else {
- algenc = s->s3->tmp.new_cipher->algorithm_enc;
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_DERIVE_SECRET_KEY_AND_IV,
+ ERR_R_EVP_LIB);
+ goto err;
}
if (algenc & (SSL_AES128CCM8 | SSL_AES256CCM8))
taglen = EVP_CCM8_TLS_TAG_LEN;
diff --git a/ssl/tls_srp.c b/ssl/tls_srp.c
index f94e46b4..ede7427f 100644
--- a/ssl/tls_srp.c
+++ b/ssl/tls_srp.c
@@ -14,7 +14,7 @@
#include <openssl/crypto.h>
#include <openssl/rand.h>
#include <openssl/err.h>
-#include "ssl_locl.h"
+#include "ssl_local.h"
#ifndef OPENSSL_NO_SRP
# include <openssl/srp.h>
diff --git a/test/README b/test/README
index 37722e79..ebe77846 100644
--- a/test/README
+++ b/test/README
@@ -114,7 +114,7 @@ Generic form of C test executables
int observed;
observed = function(); /* Call the code under test */
- if (!TEST_int_equal(observed, 2)) /* Check the result is correct */
+ if (!TEST_int_eq(observed, 2)) /* Check the result is correct */
goto end; /* Exit on failure - optional */
testresult = 1; /* Mark the test case a success */
diff --git a/test/asn1_decode_test.c b/test/asn1_decode_test.c
index 369023d5..18f0ca12 100644
--- a/test/asn1_decode_test.c
+++ b/test/asn1_decode_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -160,6 +160,41 @@ static int test_uint64(void)
return 1;
}
+typedef struct {
+ ASN1_STRING *invalidDirString;
+} INVALIDTEMPLATE;
+
+ASN1_SEQUENCE(INVALIDTEMPLATE) = {
+ /*
+ * DirectoryString is a CHOICE type so it must use explicit tagging -
+ * but we deliberately use implicit here, which makes this template invalid.
+ */
+ ASN1_IMP(INVALIDTEMPLATE, invalidDirString, DIRECTORYSTRING, 12)
+} static_ASN1_SEQUENCE_END(INVALIDTEMPLATE)
+
+IMPLEMENT_STATIC_ASN1_ENCODE_FUNCTIONS(INVALIDTEMPLATE)
+IMPLEMENT_STATIC_ASN1_ALLOC_FUNCTIONS(INVALIDTEMPLATE)
+
+/* Empty sequence for invalid template test */
+static unsigned char t_invalid_template[] = {
+ 0x30, 0x03, /* SEQUENCE tag + length */
+ 0x0c, 0x01, 0x41 /* UTF8String, length 1, "A" */
+};
+
+static int test_invalid_template(void)
+{
+ const unsigned char *p = t_invalid_template;
+ INVALIDTEMPLATE *tmp = d2i_INVALIDTEMPLATE(NULL, &p,
+ sizeof(t_invalid_template));
+
+ /* We expect a NULL pointer return */
+ if (TEST_ptr_null(tmp))
+ return 1;
+
+ INVALIDTEMPLATE_free(tmp);
+ return 0;
+}
+
int setup_tests(void)
{
#if OPENSSL_API_COMPAT < 0x10200000L
@@ -169,5 +204,6 @@ int setup_tests(void)
ADD_TEST(test_uint32);
ADD_TEST(test_int64);
ADD_TEST(test_uint64);
+ ADD_TEST(test_invalid_template);
return 1;
}
diff --git a/test/asn1_encode_test.c b/test/asn1_encode_test.c
index ed920a4d..51c38029 100644
--- a/test/asn1_encode_test.c
+++ b/test/asn1_encode_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -856,6 +856,38 @@ static int test_uint64(void)
return test_intern(&uint64_test_package);
}
+typedef struct {
+ ASN1_STRING *invalidDirString;
+} INVALIDTEMPLATE;
+
+ASN1_SEQUENCE(INVALIDTEMPLATE) = {
+ /*
+ * DirectoryString is a CHOICE type so it must use explicit tagging -
+ * but we deliberately use implicit here, which makes this template invalid.
+ */
+ ASN1_IMP(INVALIDTEMPLATE, invalidDirString, DIRECTORYSTRING, 12)
+} static_ASN1_SEQUENCE_END(INVALIDTEMPLATE)
+
+IMPLEMENT_STATIC_ASN1_ENCODE_FUNCTIONS(INVALIDTEMPLATE)
+IMPLEMENT_STATIC_ASN1_ALLOC_FUNCTIONS(INVALIDTEMPLATE)
+
+static int test_invalid_template(void)
+{
+ INVALIDTEMPLATE *temp = INVALIDTEMPLATE_new();
+ int ret;
+
+ if (!TEST_ptr(temp))
+ return 0;
+
+ ret = i2d_INVALIDTEMPLATE(temp, NULL);
+
+ INVALIDTEMPLATE_free(temp);
+
+ /* We expect the i2d operation to fail */
+ return ret < 0;
+}
+
+
int setup_tests(void)
{
#if OPENSSL_API_COMPAT < 0x10200000L
@@ -866,5 +898,6 @@ int setup_tests(void)
ADD_TEST(test_uint32);
ADD_TEST(test_int64);
ADD_TEST(test_uint64);
+ ADD_TEST(test_invalid_template);
return 1;
}
diff --git a/test/asn1_internal_test.c b/test/asn1_internal_test.c
index 63278040..865e0584 100644
--- a/test/asn1_internal_test.c
+++ b/test/asn1_internal_test.c
@@ -59,7 +59,7 @@ static int test_tbl_standard(void)
*
***/
-#include "internal/asn1_int.h"
+#include "crypto/asn1.h"
#include "../crypto/asn1/standard_methods.h"
static int test_standard_methods(void)
diff --git a/test/asynciotest.c b/test/asynciotest.c
index 5e85cbb0..5a12d013 100644
--- a/test/asynciotest.c
+++ b/test/asynciotest.c
@@ -13,7 +13,7 @@
#include <openssl/bio.h>
#include <openssl/err.h>
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#include "ssltestlib.h"
#include "testutil.h"
diff --git a/test/bad_dtls_test.c b/test/bad_dtls_test.c
index 1c836b9c..e06206b6 100644
--- a/test/bad_dtls_test.c
+++ b/test/bad_dtls_test.c
@@ -37,7 +37,7 @@
#include <openssl/err.h>
#include <openssl/rand.h>
#include <openssl/kdf.h>
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#include "internal/nelem.h"
#include "testutil.h"
diff --git a/test/bioprinttest.c b/test/bioprinttest.c
index 680391ea..40218e3f 100644
--- a/test/bioprinttest.c
+++ b/test/bioprinttest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -249,6 +249,7 @@ static int test_big(void)
if (!TEST_int_eq(BIO_snprintf(buf, sizeof(buf),
"%f\n", 2 * (double)ULONG_MAX), -1))
return 0;
+
return 1;
}
diff --git a/test/bntest.c b/test/bntest.c
index 0bd9a06f..97d08ac0 100644
--- a/test/bntest.c
+++ b/test/bntest.c
@@ -1634,6 +1634,30 @@ static int file_modsqrt(STANZA *s)
return st;
}
+static int file_gcd(STANZA *s)
+{
+ BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL;
+ int st = 0;
+
+ if (!TEST_ptr(a = getBN(s, "A"))
+ || !TEST_ptr(b = getBN(s, "B"))
+ || !TEST_ptr(gcd = getBN(s, "GCD"))
+ || !TEST_ptr(ret = BN_new()))
+ goto err;
+
+ if (!TEST_true(BN_gcd(ret, a, b, ctx))
+ || !equalBN("gcd(A,B)", gcd, ret))
+ goto err;
+
+ st = 1;
+ err:
+ BN_free(a);
+ BN_free(b);
+ BN_free(gcd);
+ BN_free(ret);
+ return st;
+}
+
static int test_bn2padded(void)
{
#if HAVE_BN_PADDED
@@ -2352,6 +2376,316 @@ static int test_ctx_consttime_flag(void)
return st;
}
+static int test_gcd_prime(void)
+{
+ BIGNUM *a = NULL, *b = NULL, *gcd = NULL;
+ int i, st = 0;
+
+ if (!TEST_ptr(a = BN_new())
+ || !TEST_ptr(b = BN_new())
+ || !TEST_ptr(gcd = BN_new()))
+ goto err;
+
+ if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL)))
+ goto err;
+ for (i = 0; i < NUM0; i++) {
+ if (!TEST_true(BN_generate_prime_ex(b, 1024, 0,
+ NULL, NULL, NULL))
+ || !TEST_true(BN_gcd(gcd, a, b, ctx))
+ || !TEST_true(BN_is_one(gcd)))
+ goto err;
+ }
+
+ st = 1;
+ err:
+ BN_free(a);
+ BN_free(b);
+ BN_free(gcd);
+ return st;
+}
+
+typedef struct mod_exp_test_st
+{
+ const char *base;
+ const char *exp;
+ const char *mod;
+ const char *res;
+} MOD_EXP_TEST;
+
+static const MOD_EXP_TEST ModExpTests[] = {
+ /* original test vectors for rsaz_512_sqr bug, by OSS-Fuzz */
+ {
+ "1166180238001879113042182292626169621106255558914000595999312084"
+ "4627946820899490684928760491249738643524880720584249698100907201"
+ "002086675047927600340800371",
+ "8000000000000000000000000000000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000000"
+ "00000000",
+ "1340780792684523720980737645613191762604395855615117867483316354"
+ "3294276330515137663421134775482798690129946803802212663956180562"
+ "088664022929883876655300863",
+ "8243904058268085430037326628480645845409758077568738532059032482"
+ "8294114415890603594730158120426756266457928475330450251339773498"
+ "26758407619521544102068438"
+ },
+ {
+ "4974270041410803822078866696159586946995877618987010219312844726"
+ "0284386121835740784990869050050504348861513337232530490826340663"
+ "197278031692737429054",
+ "4974270041410803822078866696159586946995877428188754995041148539"
+ "1663243362592271353668158565195557417149981094324650322556843202"
+ "946445882670777892608",
+ "1340780716511420227215592830971452482815377482627251725537099028"
+ "4429769497230131760206012644403029349547320953206103351725462999"
+ "947509743623340557059752191",
+ "5296244594780707015616522701706118082963369547253192207884519362"
+ "1767869984947542695665420219028522815539559194793619684334900442"
+ "49304558011362360473525933"
+ },
+ /* test vectors for rsaz_512_srq bug, with rcx/rbx=1 */
+ { /* between first and second iteration */
+ "5148719036160389201525610950887605325980251964889646556085286545"
+ "3931548809178823413169359635978762036512397113080988070677858033"
+ "36463909753993540214027190",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between second and third iteration */
+ "8908340854353752577419678771330460827942371434853054158622636544"
+ "8151360109722890949471912566649465436296659601091730745087014189"
+ "2672764191218875181826063",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between third and fourth iteration */
+ "3427446396505596330634350984901719674479522569002785244080234738"
+ "4288743635435746136297299366444548736533053717416735379073185344"
+ "26985272974404612945608761",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between fourth and fifth iteration */
+ "3472743044917564564078857826111874560045331237315597383869652985"
+ "6919870028890895988478351133601517365908445058405433832718206902"
+ "4088133164805266956353542",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between fifth and sixth iteration */
+ "3608632990153469264412378349742339216742409743898601587274768025"
+ "0110772032985643555192767717344946174122842255204082586753499651"
+ "14483434992887431333675068",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between sixth and seventh iteration */
+ "8455374370234070242910508226941981520235709767260723212165264877"
+ "8689064388017521524568434328264431772644802567028663962962025746"
+ "9283458217850119569539086",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between seventh and eighth iteration */
+ "5155371529688532178421209781159131443543419764974688878527112131"
+ "7446518205609427412336183157918981038066636807317733319323257603"
+ "04416292040754017461076359",
+ "1005585594745694782468051874865438459560952436544429503329267108"
+ "2791323022555160232601405723625177570767523893639864538140315412"
+ "108959927459825236754563832",
+ "1005585594745694782468051874865438459560952436544429503329267108"
+ "2791323022555160232601405723625177570767523893639864538140315412"
+ "108959927459825236754563833",
+ "1"
+ },
+ /* test vectors for rsaz_512_srq bug, with rcx/rbx=2 */
+ { /* between first and second iteration */
+ "3155666506033786929967309937640790361084670559125912405342594979"
+ "4345142818528956285490897841406338022378565972533508820577760065"
+ "58494345853302083699912572",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between second and third iteration */
+ "3789819583801342198190405714582958759005991915505282362397087750"
+ "4213544724644823098843135685133927198668818185338794377239590049"
+ "41019388529192775771488319",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between third and forth iteration */
+ "4695752552040706867080542538786056470322165281761525158189220280"
+ "4025547447667484759200742764246905647644662050122968912279199065"
+ "48065034299166336940507214",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between forth and fifth iteration */
+ "2159140240970485794188159431017382878636879856244045329971239574"
+ "8919691133560661162828034323196457386059819832804593989740268964"
+ "74502911811812651475927076",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between fifth and sixth iteration */
+ "5239312332984325668414624633307915097111691815000872662334695514"
+ "5436533521392362443557163429336808208137221322444780490437871903"
+ "99972784701334569424519255",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between sixth and seventh iteration */
+ "1977953647322612860406858017869125467496941904523063466791308891"
+ "1172796739058531929470539758361774569875505293428856181093904091"
+ "33788264851714311303725089",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between seventh and eighth iteration */
+ "6456987954117763835533395796948878140715006860263624787492985786"
+ "8514630216966738305923915688821526449499763719943997120302368211"
+ "04813318117996225041943964",
+ "1340780792994259709957402499820584612747936582059239337772356144"
+ "3721764030073546976801874298166903427690031858186486050853753882"
+ "811946551499689575296532556",
+ "1340780792994259709957402499820584612747936582059239337772356144"
+ "3721764030073546976801874298166903427690031858186486050853753882"
+ "811946551499689575296532557",
+ "1"
+ }
+};
+
+static int test_mod_exp(int i)
+{
+ const MOD_EXP_TEST *test = &ModExpTests[i];
+ int res = 0;
+ BIGNUM* result = NULL;
+ BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
+ char *s = NULL;
+
+ if (!TEST_ptr(result = BN_new())
+ || !TEST_true(BN_dec2bn(&base, test->base))
+ || !TEST_true(BN_dec2bn(&exponent, test->exp))
+ || !TEST_true(BN_dec2bn(&modulo, test->mod)))
+ goto err;
+
+ if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
+ goto err;
+
+ if (!TEST_ptr(s = BN_bn2dec(result)))
+ goto err;
+
+ if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
+ goto err;
+
+ res = 1;
+
+ err:
+ OPENSSL_free(s);
+ BN_free(result);
+ BN_free(base);
+ BN_free(exponent);
+ BN_free(modulo);
+ return res;
+}
+
+static int test_mod_exp_consttime(int i)
+{
+ const MOD_EXP_TEST *test = &ModExpTests[i];
+ int res = 0;
+ BIGNUM* result = NULL;
+ BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
+ char *s = NULL;
+
+ if (!TEST_ptr(result = BN_new())
+ || !TEST_true(BN_dec2bn(&base, test->base))
+ || !TEST_true(BN_dec2bn(&exponent, test->exp))
+ || !TEST_true(BN_dec2bn(&modulo, test->mod)))
+ goto err;
+
+ BN_set_flags(base, BN_FLG_CONSTTIME);
+ BN_set_flags(exponent, BN_FLG_CONSTTIME);
+ BN_set_flags(modulo, BN_FLG_CONSTTIME);
+
+ if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
+ goto err;
+
+ if (!TEST_ptr(s = BN_bn2dec(result)))
+ goto err;
+
+ if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
+ goto err;
+
+ res = 1;
+
+ err:
+ OPENSSL_free(s);
+ BN_free(result);
+ BN_free(base);
+ BN_free(exponent);
+ BN_free(modulo);
+ return res;
+}
+
static int file_test_run(STANZA *s)
{
static const FILETEST filetests[] = {
@@ -2366,6 +2700,7 @@ static int file_test_run(STANZA *s)
{"ModExp", file_modexp},
{"Exp", file_exp},
{"ModSqrt", file_modsqrt},
+ {"GCD", file_gcd},
};
int numtests = OSSL_NELEM(filetests);
const FILETEST *tp = filetests;
@@ -2454,6 +2789,9 @@ int setup_tests(void)
#endif
ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
+ ADD_TEST(test_gcd_prime);
+ ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests));
+ ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests));
} else {
ADD_ALL_TESTS(run_file_tests, n);
}
diff --git a/test/build.info b/test/build.info
index 1727f286..bc3dae81 100644
--- a/test/build.info
+++ b/test/build.info
@@ -12,7 +12,7 @@ IF[{- !$disabled{tests} -}]
SOURCE[libtestutil.a]=testutil/basic_output.c testutil/output_helpers.c \
testutil/driver.c testutil/tests.c testutil/cb.c testutil/stanza.c \
testutil/format_output.c testutil/tap_bio.c \
- testutil/test_cleanup.c testutil/main.c testutil/init.c \
+ testutil/test_cleanup.c testutil/main.c testutil/testutil_init.c \
testutil/random.c
INCLUDE[libtestutil.a]=../include
DEPEND[libtestutil.a]=../libcrypto
@@ -51,7 +51,7 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
recordlentest drbgtest drbg_cavs_test sslbuffertest \
time_offset_test pemtest ssl_cert_table_internal_test ciphername_test \
servername_test ocspapitest rsa_mp_test fatalerrtest tls13ccstest \
- sysdefaulttest errtest gosttest
+ sysdefaulttest errtest ssl_ctx_test gosttest
SOURCE[versions]=versions.c
INCLUDE[versions]=../include
@@ -185,7 +185,7 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
DEPEND[evp_test]=../libcrypto libtestutil.a
SOURCE[evp_extra_test]=evp_extra_test.c
- INCLUDE[evp_extra_test]=../include ../crypto/include
+ INCLUDE[evp_extra_test]=../include
DEPEND[evp_extra_test]=../libcrypto libtestutil.a
SOURCE[igetest]=igetest.c
@@ -393,7 +393,7 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
IF[{- !$disabled{shared} -}]
PROGRAMS_NO_INST=shlibloadtest
SOURCE[shlibloadtest]=shlibloadtest.c
- INCLUDE[shlibloadtest]=../include ../crypto/include
+ INCLUDE[shlibloadtest]=../include
ENDIF
IF[{- $disabled{shared} -}]
@@ -461,17 +461,20 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
IF[{- !$disabled{ec} -}]
PROGRAMS_NO_INST=ec_internal_test curve448_internal_test
ENDIF
+ IF[{- !$disabled{cmac} -}]
+ PROGRAMS_NO_INST=cmactest
+ ENDIF
SOURCE[poly1305_internal_test]=poly1305_internal_test.c
- INCLUDE[poly1305_internal_test]=.. ../include ../crypto/include
+ INCLUDE[poly1305_internal_test]=.. ../include
DEPEND[poly1305_internal_test]=../libcrypto.a libtestutil.a
SOURCE[chacha_internal_test]=chacha_internal_test.c
- INCLUDE[chacha_internal_test]=.. ../include ../crypto/include
+ INCLUDE[chacha_internal_test]=.. ../include
DEPEND[chacha_internal_test]=../libcrypto.a libtestutil.a
SOURCE[asn1_internal_test]=asn1_internal_test.c
- INCLUDE[asn1_internal_test]=.. ../include ../crypto/include
+ INCLUDE[asn1_internal_test]=.. ../include
DEPEND[asn1_internal_test]=../libcrypto.a libtestutil.a
SOURCE[modes_internal_test]=modes_internal_test.c
@@ -491,23 +494,29 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
DEPEND[wpackettest]=../libcrypto ../libssl.a libtestutil.a
SOURCE[ctype_internal_test]=ctype_internal_test.c
- INCLUDE[ctype_internal_test]=.. ../crypto/include ../include
+ INCLUDE[ctype_internal_test]=.. ../include
DEPEND[ctype_internal_test]=../libcrypto.a libtestutil.a
+ IF[{- !$disabled{cmac} -}]
+ SOURCE[cmactest]=cmactest.c
+ INCLUDE[cmactest]=../include
+ DEPEND[cmactest]=../libcrypto.a libtestutil.a
+ ENDIF
+
SOURCE[siphash_internal_test]=siphash_internal_test.c
- INCLUDE[siphash_internal_test]=.. ../include ../crypto/include
+ INCLUDE[siphash_internal_test]=.. ../include
DEPEND[siphash_internal_test]=../libcrypto.a libtestutil.a
SOURCE[sm2_internal_test]=sm2_internal_test.c
- INCLUDE[sm2_internal_test]=../include ../crypto/include
+ INCLUDE[sm2_internal_test]=../include
DEPEND[sm2_internal_test]=../libcrypto.a libtestutil.a
SOURCE[sm4_internal_test]=sm4_internal_test.c
- INCLUDE[sm4_internal_test]=.. ../include ../crypto/include
+ INCLUDE[sm4_internal_test]=.. ../include
DEPEND[sm4_internal_test]=../libcrypto.a libtestutil.a
SOURCE[ec_internal_test]=ec_internal_test.c
- INCLUDE[ec_internal_test]=../include ../crypto/ec ../crypto/include
+ INCLUDE[ec_internal_test]=../include ../crypto/ec
DEPEND[ec_internal_test]=../libcrypto.a libtestutil.a
SOURCE[curve448_internal_test]=curve448_internal_test.c
@@ -558,7 +567,10 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
SOURCE[gosttest]=gosttest.c ssltestlib.c
INCLUDE[gosttest]=../include ..
DEPEND[gosttest]=../libcrypto ../libssl libtestutil.a
-ENDIF
+
+ SOURCE[ssl_ctx_test]=ssl_ctx_test.c
+ INCLUDE[ssl_ctx_test]=../include
+ DEPEND[ssl_ctx_test]=../libcrypto ../libssl libtestutil.a
{-
use File::Spec::Functions;
@@ -596,3 +608,4 @@ _____
_____
}
-}
+ENDIF
diff --git a/test/certs/ca-cert-ec-explicit.pem b/test/certs/ca-cert-ec-explicit.pem
new file mode 100644
index 00000000..d741ecdb
--- /dev/null
+++ b/test/certs/ca-cert-ec-explicit.pem
@@ -0,0 +1,19 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ca-cert-ec-named.pem b/test/certs/ca-cert-ec-named.pem
new file mode 100644
index 00000000..5fbe251a
--- /dev/null
+++ b/test/certs/ca-cert-ec-named.pem
@@ -0,0 +1,14 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ca-key-ec-explicit.pem b/test/certs/ca-key-ec-explicit.pem
new file mode 100644
index 00000000..08add31c
--- /dev/null
+++ b/test/certs/ca-key-ec-explicit.pem
@@ -0,0 +1,10 @@
+-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
diff --git a/test/certs/ca-key-ec-named.pem b/test/certs/ca-key-ec-named.pem
new file mode 100644
index 00000000..cff7a64e
--- /dev/null
+++ b/test/certs/ca-key-ec-named.pem
@@ -0,0 +1,5 @@
+-----BEGIN PRIVATE KEY-----
+MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQgCTrYrMKcyV49+w4B
+TWr2WTZsMM4aFpaYulKAuhiuQ7mhRANCAAT7fjFwovfsM7RL5nRthFUpO2wIiTFy
+V1v7tDW3Bgq624TtTSUhx1dy5LPPPLKnkj4f24n/wEidB1/lWqzFKBSC
+-----END PRIVATE KEY-----
diff --git a/test/certs/ca-pss-cert.pem b/test/certs/ca-pss-cert.pem
new file mode 100644
index 00000000..566b63a8
--- /dev/null
+++ b/test/certs/ca-pss-cert.pem
@@ -0,0 +1,21 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ca-pss-key.pem b/test/certs/ca-pss-key.pem
new file mode 100644
index 00000000..9270c364
--- /dev/null
+++ b/test/certs/ca-pss-key.pem
@@ -0,0 +1,28 @@
+-----BEGIN PRIVATE KEY-----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+-----END PRIVATE KEY-----
diff --git a/test/certs/ee-cert-ec-explicit.pem b/test/certs/ee-cert-ec-explicit.pem
new file mode 100644
index 00000000..eccb3342
--- /dev/null
+++ b/test/certs/ee-cert-ec-explicit.pem
@@ -0,0 +1,16 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ee-cert-ec-named-explicit.pem b/test/certs/ee-cert-ec-named-explicit.pem
new file mode 100644
index 00000000..db13c0e5
--- /dev/null
+++ b/test/certs/ee-cert-ec-named-explicit.pem
@@ -0,0 +1,11 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ee-cert-ec-named-named.pem b/test/certs/ee-cert-ec-named-named.pem
new file mode 100644
index 00000000..0730febf
--- /dev/null
+++ b/test/certs/ee-cert-ec-named-named.pem
@@ -0,0 +1,11 @@
+-----BEGIN CERTIFICATE-----
+MIIBkzCCATqgAwIBAgIBAjAKBggqhkjOPQQDAjANMQswCQYDVQQDDAJDQTAgFw0y
+MDA5MTUxNDEwNDhaGA8yMTIwMDkxNjE0MTA0OFowGTEXMBUGA1UEAwwOc2VydmVy
+LmV4YW1wbGUwWTATBgcqhkjOPQIBBggqhkjOPQMBBwNCAAS0YU57+RFRWxr/frnL
++vOYkY3h9roKnvxCG07wK5tevEYtSdKz0KsHvDBDatw1r3JNv+m2p54/3AqFPAZ3
+5b0Po30wezAdBgNVHQ4EFgQUypypuZrUl0BEmbuhfJpo3QFNIvUwHwYDVR0jBBgw
+FoAUY4oFOURM/C8H9Yg+pgC1YbByGp4wCQYDVR0TBAIwADATBgNVHSUEDDAKBggr
+BgEFBQcDATAZBgNVHREEEjAQgg5zZXJ2ZXIuZXhhbXBsZTAKBggqhkjOPQQDAgNH
+ADBEAiAEkKD7H5uxQ4YbQOiN4evbu5RCV5W7TVE80iBfcY5u4wIgGcwr++lVNX0Q
+CTT+M3ukDjOA8OEvKUz1TiDuRAQ29qU=
+-----END CERTIFICATE-----
diff --git a/test/certs/ee-key-ec-explicit.pem b/test/certs/ee-key-ec-explicit.pem
new file mode 100644
index 00000000..d847d85d
--- /dev/null
+++ b/test/certs/ee-key-ec-explicit.pem
@@ -0,0 +1,10 @@
+-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
diff --git a/test/certs/ee-key-ec-named-explicit.pem b/test/certs/ee-key-ec-named-explicit.pem
new file mode 100644
index 00000000..28f81e95
--- /dev/null
+++ b/test/certs/ee-key-ec-named-explicit.pem
@@ -0,0 +1,5 @@
+-----BEGIN PRIVATE KEY-----
+MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQg2ue+X5ZFJPJPQG2E
+WQY4ALv2PkPp2Gy6KrMiokgmjkehRANCAAQv5PnMStW/Wx9lpvjlJTsFIjc2wBv1
+4sNuMh1hfNX8ZJcoCfAAKYu6ujxXt328GWBMaubRbBjOd/eqpEsttYKz
+-----END PRIVATE KEY-----
diff --git a/test/certs/ee-key-ec-named-named.pem b/test/certs/ee-key-ec-named-named.pem
new file mode 100644
index 00000000..d627bcf0
--- /dev/null
+++ b/test/certs/ee-key-ec-named-named.pem
@@ -0,0 +1,5 @@
+-----BEGIN PRIVATE KEY-----
+MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQgGSoneIKG3//ujXGu
+/EoJdNhpKZj026EF/YQ5FblUBWahRANCAAS0YU57+RFRWxr/frnL+vOYkY3h9roK
+nvxCG07wK5tevEYtSdKz0KsHvDBDatw1r3JNv+m2p54/3AqFPAZ35b0P
+-----END PRIVATE KEY-----
diff --git a/test/certs/ee-pathlen.pem b/test/certs/ee-pathlen.pem
new file mode 100644
index 00000000..0bcae1d7
--- /dev/null
+++ b/test/certs/ee-pathlen.pem
@@ -0,0 +1,17 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ee-pss-cert.pem b/test/certs/ee-pss-cert.pem
new file mode 100644
index 00000000..e908783b
--- /dev/null
+++ b/test/certs/ee-pss-cert.pem
@@ -0,0 +1,21 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/ee-self-signed.pem b/test/certs/ee-self-signed.pem
new file mode 100644
index 00000000..e854c9ad
--- /dev/null
+++ b/test/certs/ee-self-signed.pem
@@ -0,0 +1,19 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/invalid-cert.pem b/test/certs/invalid-cert.pem
new file mode 100644
index 00000000..a8951305
--- /dev/null
+++ b/test/certs/invalid-cert.pem
@@ -0,0 +1,19 @@
+-----BEGIN TRUSTED CERTIFICATE-----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+-----END TRUSTED CERTIFICATE-----
diff --git a/test/certs/mkcert.sh b/test/certs/mkcert.sh
index ebb71c17..d8e70423 100755
--- a/test/certs/mkcert.sh
+++ b/test/certs/mkcert.sh
@@ -1,6 +1,6 @@
#! /bin/bash
#
-# Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
# Copyright (c) 2016 Viktor Dukhovni <openssl-users@dukhovni.org>.
# All rights reserved.
#
@@ -114,6 +114,19 @@ genroot() {
}
genca() {
+ local OPTIND=1
+ local purpose=
+
+ while getopts p: o
+ do
+ case $o in
+ p) purpose="$OPTARG";;
+ *) echo "Usage: $0 genca [-p EKU] cn keyname certname cakeyname cacertname" >&2
+ return 1;;
+ esac
+ done
+
+ shift $((OPTIND - 1))
local cn=$1; shift
local key=$1; shift
local cert=$1; shift
@@ -123,17 +136,16 @@ genca() {
local akid="authorityKeyIdentifier = keyid"
exts=$(printf "%s\n%s\n%s\n" "$skid" "$akid" "basicConstraints = critical,CA:true")
- for eku in "$@"
- do
- exts=$(printf "%s\nextendedKeyUsage = %s\n" "$exts" "$eku")
- done
+ if [ -n "$purpose" ]; then
+ exts=$(printf "%s\nextendedKeyUsage = %s\n" "$exts" "$purpose")
+ fi
if [ -n "$NC" ]; then
exts=$(printf "%s\nnameConstraints = %s\n" "$exts" "$NC")
fi
csr=$(req "$key" "CN = $cn") || return 1
echo "$csr" |
cert "$cert" "$exts" -CA "${cacert}.pem" -CAkey "${cakey}.pem" \
- -set_serial 2 -days "${DAYS}"
+ -set_serial 2 -days "${DAYS}" "$@"
}
gen_nonbc_ca() {
diff --git a/test/certs/root-ed448-cert.pem b/test/certs/root-ed448-cert.pem
new file mode 100644
index 00000000..48e293d6
--- /dev/null
+++ b/test/certs/root-ed448-cert.pem
@@ -0,0 +1,10 @@
+-----BEGIN CERTIFICATE-----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=
+-----END CERTIFICATE-----
diff --git a/test/certs/root-ed448-key.pem b/test/certs/root-ed448-key.pem
new file mode 100644
index 00000000..e0c36ff4
--- /dev/null
+++ b/test/certs/root-ed448-key.pem
@@ -0,0 +1,4 @@
+-----BEGIN PRIVATE KEY-----
+MEcCAQAwBQYDK2VxBDsEOQeryQn6L8gItRarrM0pRHxjNdtaIz3BrWU2mwhLZQaq
+8Cm6w5gP6aitAIde7Td3nQ55bIGC5roxFQ==
+-----END PRIVATE KEY-----
diff --git a/test/certs/root-expired.pem b/test/certs/root-expired.pem
new file mode 100644
index 00000000..eb5b697e
--- /dev/null
+++ b/test/certs/root-expired.pem
@@ -0,0 +1,18 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/server-ed448-cert.pem b/test/certs/server-ed448-cert.pem
index 740f2755..ba050077 100644
--- a/test/certs/server-ed448-cert.pem
+++ b/test/certs/server-ed448-cert.pem
@@ -1,14 +1,11 @@
-----BEGIN CERTIFICATE-----
-MIICHTCCAQWgAwIBAgIBAjANBgkqhkiG9w0BAQsFADASMRAwDgYDVQQDDAdSb290
-IENBMCAXDTE4MDIyNzE1MDcxM1oYDzIxMTgwMjI4MTUwNzEzWjAQMQ4wDAYDVQQD
-DAVFZDQ0ODBDMAUGAytlcQM6ABBicYlhG1s3AoG5BFmY3r50lJzjQoER4zwuieEe
-QTvKxLEV06vGh79UWO6yQ5FxqmxvM1F/Xw7RAKNfMF0wHQYDVR0OBBYEFAwa1L4m
-3pwA8+IEJ7K/4izrjJIHMB8GA1UdIwQYMBaAFHB/Lq6DaFmYBCMqzes+F80k3QFJ
-MAkGA1UdEwQCMAAwEAYDVR0RBAkwB4IFRWQ0NDgwDQYJKoZIhvcNAQELBQADggEB
-AAugH2aE6VvArnOVjKBtalqtHlx+NCC3+S65sdWc9A9sNgI1ZiN7dn76TKn5d0T7
-NqV8nY1rwQg6WPGrCD6Eh63qhotytqYIxltppb4MOUJcz/Zf0ZwhB5bUfwNB//Ih
-5aZT86FpXVuyMnwUTWPcISJqpZiBv95yzZFMpniHFvecvV445ly4TFW5y6VURh40
-Tg4tMgjPTE7ADw+dX4FvnTWY3blxT1GzGxGvqWW4HgP8dOETnjmAwCzN0nUVmH9s
-7ybHORcSljcpe0XH6L/K7mbI+r8mVLsAoIzUeDwUdKKJZ2uGEtdhQDmJBp4EjOXE
-3qIn3wEQQ6ax4NIwkZihdLI=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-----END CERTIFICATE-----
diff --git a/test/certs/setup.sh b/test/certs/setup.sh
index 26b2f1dd..49aab711 100755
--- a/test/certs/setup.sh
+++ b/test/certs/setup.sh
@@ -1,10 +1,11 @@
-#! /bin/sh
+#! /bin/bash
# Primary root: root-cert
# root cert variants: CA:false, key2, DN2
# trust variants: +serverAuth -serverAuth +clientAuth -clientAuth +anyEKU -anyEKU
#
./mkcert.sh genroot "Root CA" root-key root-cert
+DAYS=-1 ./mkcert.sh genroot "Root CA" root-key root-expired
./mkcert.sh genss "Root CA" root-key root-nonca
./mkcert.sh genroot "Root CA" root-key2 root-cert2
./mkcert.sh genroot "Root Cert 2" root-key root-name2
@@ -116,11 +117,15 @@ openssl x509 -in ca-cert-md5.pem -trustout \
# CA has 768-bit key
OPENSSL_KEYBITS=768 \
./mkcert.sh genca "CA" ca-key-768 ca-cert-768 root-key root-cert
+# EC cert with explicit curve
+./mkcert.sh genca "CA" ca-key-ec-explicit ca-cert-ec-explicit root-key root-cert
+# EC cert with named curve
+./mkcert.sh genca "CA" ca-key-ec-named ca-cert-ec-named root-key root-cert
# client intermediate ca: cca-cert
# trust variants: +serverAuth, -serverAuth, +clientAuth, -clientAuth
#
-./mkcert.sh genca "CA" ca-key cca-cert root-key root-cert clientAuth
+./mkcert.sh genca -p clientAuth "CA" ca-key cca-cert root-key root-cert
#
openssl x509 -in cca-cert.pem -trustout \
-addtrust serverAuth -out cca+serverAuth.pem
@@ -138,7 +143,7 @@ openssl x509 -in cca-cert.pem -trustout \
# server intermediate ca: sca-cert
# trust variants: +serverAuth, -serverAuth, +clientAuth, -clientAuth, -anyEKU, +anyEKU
#
-./mkcert.sh genca "CA" ca-key sca-cert root-key root-cert serverAuth
+./mkcert.sh genca -p serverAuth "CA" ca-key sca-cert root-key root-cert
#
openssl x509 -in sca-cert.pem -trustout \
-addtrust serverAuth -out sca+serverAuth.pem
@@ -154,7 +159,7 @@ openssl x509 -in sca-cert.pem -trustout \
-addtrust anyExtendedKeyUsage -out sca+anyEKU.pem
# Primary leaf cert: ee-cert
-# ee variants: expired, issuer-key2, issuer-name2
+# ee variants: expired, issuer-key2, issuer-name2, bad-pathlen
# trust variants: +serverAuth, -serverAuth, +clientAuth, -clientAuth
# purpose variants: client
#
@@ -163,6 +168,8 @@ openssl x509 -in sca-cert.pem -trustout \
./mkcert.sh genee server.example ee-key ee-cert2 ca-key2 ca-cert2
./mkcert.sh genee server.example ee-key ee-name2 ca-key ca-name2
./mkcert.sh genee -p clientAuth server.example ee-key ee-client ca-key ca-cert
+./mkcert.sh genee server.example ee-key ee-pathlen ca-key ca-cert \
+ -extfile <(echo "basicConstraints=CA:FALSE,pathlen:0") # bash needed here
#
openssl x509 -in ee-cert.pem -trustout \
-addtrust serverAuth -out ee+serverAuth.pem
@@ -182,6 +189,17 @@ OPENSSL_SIGALG=md5 \
# 768-bit leaf key
OPENSSL_KEYBITS=768 \
./mkcert.sh genee server.example ee-key-768 ee-cert-768 ca-key ca-cert
+# EC cert with explicit curve signed by named curve ca
+./mkcert.sh genee server.example ee-key-ec-explicit ee-cert-ec-explicit ca-key-ec-named ca-cert-ec-named
+# EC cert with named curve signed by explicit curve ca
+./mkcert.sh genee server.example ee-key-ec-named-explicit \
+ ee-cert-ec-named-explicit ca-key-ec-explicit ca-cert-ec-explicit
+# EC cert with named curve signed by named curve ca
+./mkcert.sh genee server.example ee-key-ec-named-named \
+ ee-cert-ec-named-named ca-key-ec-named ca-cert-ec-named
+
+# self-signed end-entity cert with explicit keyUsage not including KeyCertSign
+openssl req -new -x509 -key ee-key.pem -subj /CN=ee-self-signed -out ee-self-signed.pem -addext keyUsage=digitalSignature -days 36500
# Proxy certificates, off of ee-client
# Start with some good ones
@@ -362,9 +380,14 @@ REQMASK=MASK:0x800 ./mkcert.sh req badalt7-key "O = Bad NC Test Certificate 7" \
# SHA1
./mkcert.sh genee PSS-SHA1 ee-key ee-pss-sha1-cert ca-key ca-cert \
-sha1 -sigopt rsa_padding_mode:pss -sigopt rsa_pss_saltlen:digest
-# SHA256
+# EE SHA256
./mkcert.sh genee PSS-SHA256 ee-key ee-pss-sha256-cert ca-key ca-cert \
- -sha256 -sigopt rsa_padding_mode:pss -sigopt rsa_pss_saltlen:digest
+ -sha256 -sigopt rsa_padding_mode:pss -sigopt rsa_pss_saltlen:digest
+# CA-PSS
+./mkcert.sh genca "CA-PSS" ca-pss-key ca-pss-cert root-key root-cert \
+ -sha256 -sigopt rsa_padding_mode:pss -sigopt rsa_pss_saltlen:-1
+./mkcert.sh genee "EE-PSS" ee-key ee-pss-cert ca-pss-key ca-pss-cert \
+ -sha256 -sigopt rsa_padding_mode:pss -sigopt rsa_pss_saltlen:-1
OPENSSL_KEYALG=ec OPENSSL_KEYBITS=brainpoolP256r1 ./mkcert.sh genee \
"Server ECDSA brainpoolP256r1 cert" server-ecdsa-brainpoolP256r1-key \
@@ -375,3 +398,8 @@ openssl req -new -nodes -subj "/CN=localhost" \
-pkeyopt rsa_pss_keygen_md:sha256 -pkeyopt rsa_pss_keygen_saltlen:32 | \
./mkcert.sh geneenocsr "Server RSA-PSS restricted cert" \
server-pss-restrict-cert rootkey rootcert
+
+OPENSSL_SIGALG=ED448 OPENSSL_KEYALG=ed448 ./mkcert.sh genroot "Root Ed448" \
+ root-ed448-key root-ed448-cert
+OPENSSL_SIGALG=ED448 OPENSSL_KEYALG=ed448 ./mkcert.sh genee ed448 \
+ server-ed448-key server-ed448-cert root-ed448-key root-ed448-cert
diff --git a/test/chacha_internal_test.c b/test/chacha_internal_test.c
index be440121..dcb3c237 100644
--- a/test/chacha_internal_test.c
+++ b/test/chacha_internal_test.c
@@ -15,7 +15,7 @@
#include <string.h>
#include <openssl/opensslconf.h>
#include "testutil.h"
-#include "internal/chacha.h"
+#include "crypto/chacha.h"
static const unsigned int key[] = {
0x03020100, 0x07060504, 0x0b0a0908, 0x0f0e0d0c,
diff --git a/test/cipher_overhead_test.c b/test/cipher_overhead_test.c
index f8c6fd73..2275fced 100644
--- a/test/cipher_overhead_test.c
+++ b/test/cipher_overhead_test.c
@@ -15,7 +15,7 @@
# pragma names as_is,shortened
#endif
-#include "../ssl/ssl_locl.h"
+#include "../ssl/ssl_local.h"
#ifdef __VMS
# pragma names restore
diff --git a/test/clienthellotest.c b/test/clienthellotest.c
index 862ca9ff..8ae1e4d9 100644
--- a/test/clienthellotest.c
+++ b/test/clienthellotest.c
@@ -17,7 +17,7 @@
#include <openssl/err.h>
#include <time.h>
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#include "testutil.h"
diff --git a/test/cmactest.c b/test/cmactest.c
new file mode 100644
index 00000000..ddd75378
--- /dev/null
+++ b/test/cmactest.c
@@ -0,0 +1,210 @@
+/*
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the Apache License 2.0 (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+#include <stdio.h>
+#include <string.h>
+#include <stdlib.h>
+
+#include "internal/nelem.h"
+
+#include <openssl/cmac.h>
+#include <openssl/aes.h>
+#include <openssl/evp.h>
+
+#include "testutil.h"
+
+static const char xtskey[32] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b,
+ 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
+ 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f
+};
+
+static struct test_st {
+ const char key[32];
+ int key_len;
+ const unsigned char data[64];
+ int data_len;
+ const char *mac;
+} test[3] = {
+ {
+ {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a,
+ 0x0b, 0x0c, 0x0d, 0x0e, 0x0f
+ },
+ 16,
+ "My test data",
+ 12,
+ "29cec977c48f63c200bd5c4a6881b224"
+ },
+ {
+ {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a,
+ 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15,
+ 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f
+ },
+ 32,
+ "My test data",
+ 12,
+ "db6493aa04e4761f473b2b453c031c9a"
+ },
+ {
+ {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a,
+ 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15,
+ 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f
+ },
+ 32,
+ "My test data again",
+ 18,
+ "65c11c75ecf590badd0a5e56cbb8af60"
+ },
+};
+
+static char *pt(unsigned char *md, unsigned int len);
+
+static int test_cmac_bad(void)
+{
+ CMAC_CTX *ctx = NULL;
+ int ret = 0;
+
+ ctx = CMAC_CTX_new();
+ if (!TEST_ptr(ctx)
+ || !TEST_false(CMAC_Init(ctx, NULL, 0, NULL, NULL))
+ || !TEST_false(CMAC_Update(ctx, test[0].data, test[0].data_len))
+ /* Should be able to pass cipher first, and then key */
+ || !TEST_true(CMAC_Init(ctx, NULL, 0, EVP_aes_128_cbc(), NULL))
+ /* Must have a key */
+ || !TEST_false(CMAC_Update(ctx, test[0].data, test[0].data_len))
+ /* Now supply the key */
+ || !TEST_true(CMAC_Init(ctx, test[0].key, test[0].key_len, NULL, NULL))
+ /* Update should now work */
+ || !TEST_true(CMAC_Update(ctx, test[0].data, test[0].data_len))
+ /* XTS is not a suitable cipher to use */
+ || !TEST_false(CMAC_Init(ctx, xtskey, sizeof(xtskey), EVP_aes_128_xts(),
+ NULL))
+ || !TEST_false(CMAC_Update(ctx, test[0].data, test[0].data_len)))
+ goto err;
+
+ ret = 1;
+err:
+ CMAC_CTX_free(ctx);
+ return ret;
+}
+
+static int test_cmac_run(void)
+{
+ char *p;
+ CMAC_CTX *ctx = NULL;
+ unsigned char buf[AES_BLOCK_SIZE];
+ size_t len;
+ int ret = 0;
+
+ ctx = CMAC_CTX_new();
+
+ if (!TEST_true(CMAC_Init(ctx, test[0].key, test[0].key_len,
+ EVP_aes_128_cbc(), NULL))
+ || !TEST_true(CMAC_Update(ctx, test[0].data, test[0].data_len))
+ || !TEST_true(CMAC_Final(ctx, buf, &len)))
+ goto err;
+
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, test[0].mac))
+ goto err;
+
+ if (!TEST_true(CMAC_Init(ctx, test[1].key, test[1].key_len,
+ EVP_aes_256_cbc(), NULL))
+ || !TEST_true(CMAC_Update(ctx, test[1].data, test[1].data_len))
+ || !TEST_true(CMAC_Final(ctx, buf, &len)))
+ goto err;
+
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, test[1].mac))
+ goto err;
+
+ if (!TEST_true(CMAC_Init(ctx, test[2].key, test[2].key_len, NULL, NULL))
+ || !TEST_true(CMAC_Update(ctx, test[2].data, test[2].data_len))
+ || !TEST_true(CMAC_Final(ctx, buf, &len)))
+ goto err;
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, test[2].mac))
+ goto err;
+ /* Test reusing a key */
+ if (!TEST_true(CMAC_Init(ctx, NULL, 0, NULL, NULL))
+ || !TEST_true(CMAC_Update(ctx, test[2].data, test[2].data_len))
+ || !TEST_true(CMAC_Final(ctx, buf, &len)))
+ goto err;
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, test[2].mac))
+ goto err;
+
+ /* Test setting the cipher and key separately */
+ if (!TEST_true(CMAC_Init(ctx, NULL, 0, EVP_aes_256_cbc(), NULL))
+ || !TEST_true(CMAC_Init(ctx, test[2].key, test[2].key_len, NULL, NULL))
+ || !TEST_true(CMAC_Update(ctx, test[2].data, test[2].data_len))
+ || !TEST_true(CMAC_Final(ctx, buf, &len)))
+ goto err;
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, test[2].mac))
+ goto err;
+
+ ret = 1;
+err:
+ CMAC_CTX_free(ctx);
+ return ret;
+}
+
+static int test_cmac_copy(void)
+{
+ char *p;
+ CMAC_CTX *ctx = NULL, *ctx2 = NULL;
+ unsigned char buf[AES_BLOCK_SIZE];
+ size_t len;
+ int ret = 0;
+
+ ctx = CMAC_CTX_new();
+ ctx2 = CMAC_CTX_new();
+ if (!TEST_ptr(ctx) || !TEST_ptr(ctx2))
+ goto err;
+
+ if (!TEST_true(CMAC_Init(ctx, test[0].key, test[0].key_len,
+ EVP_aes_128_cbc(), NULL))
+ || !TEST_true(CMAC_Update(ctx, test[0].data, test[0].data_len))
+ || !TEST_true(CMAC_CTX_copy(ctx2, ctx))
+ || !TEST_true(CMAC_Final(ctx2, buf, &len)))
+ goto err;
+
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, test[0].mac))
+ goto err;
+
+ ret = 1;
+err:
+ CMAC_CTX_free(ctx2);
+ CMAC_CTX_free(ctx);
+ return ret;
+}
+
+static char *pt(unsigned char *md, unsigned int len)
+{
+ unsigned int i;
+ static char buf[80];
+
+ for (i = 0; i < len; i++)
+ sprintf(&(buf[i * 2]), "%02x", md[i]);
+ return buf;
+}
+
+int setup_tests(void)
+{
+ ADD_TEST(test_cmac_bad);
+ ADD_TEST(test_cmac_run);
+ ADD_TEST(test_cmac_copy);
+ return 1;
+}
+
diff --git a/test/constant_time_test.c b/test/constant_time_test.c
index e5e3e497..25f53928 100644
--- a/test/constant_time_test.c
+++ b/test/constant_time_test.c
@@ -11,7 +11,7 @@
#include <stdlib.h>
#include "internal/nelem.h"
-#include "internal/constant_time_locl.h"
+#include "internal/constant_time.h"
#include "testutil.h"
#include "internal/numbers.h"
diff --git a/test/ctype_internal_test.c b/test/ctype_internal_test.c
index a4613031..1bb61ab1 100644
--- a/test/ctype_internal_test.c
+++ b/test/ctype_internal_test.c
@@ -8,7 +8,7 @@
*/
#include "testutil.h"
-#include "internal/ctype.h"
+#include "crypto/ctype.h"
#include "internal/nelem.h"
#include <ctype.h>
#include <stdio.h>
diff --git a/test/curve448_internal_test.c b/test/curve448_internal_test.c
index e7d43785..4b65ee3f 100644
--- a/test/curve448_internal_test.c
+++ b/test/curve448_internal_test.c
@@ -16,7 +16,7 @@
# pragma names as_is,shortened
#endif
-#include "curve448_lcl.h"
+#include "curve448_local.h"
#ifdef __VMS
# pragma names restore
diff --git a/test/drbg_cavs_data.h b/test/drbg_cavs_data.h
index d6733756..c04b0129 100644
--- a/test/drbg_cavs_data.h
+++ b/test/drbg_cavs_data.h
@@ -13,8 +13,8 @@
#include <stddef.h>
-#ifndef DRBG_CAVS_DATA_H
-# define DRBG_CAVS_DATA_H
+#ifndef OSSL_TEST_DRBG_CAVS_DATA_H
+# define OSSL_TEST_DRBG_CAVS_DATA_H
enum drbg_kat_type {
NO_RESEED,
diff --git a/test/drbg_cavs_test.c b/test/drbg_cavs_test.c
index eea387b4..4573e2b0 100644
--- a/test/drbg_cavs_test.c
+++ b/test/drbg_cavs_test.c
@@ -15,7 +15,7 @@
#include <openssl/obj_mac.h>
#include <openssl/evp.h>
#include <openssl/aes.h>
-#include "../crypto/rand/rand_lcl.h"
+#include "../crypto/rand/rand_local.h"
#include "testutil.h"
#include "drbg_cavs_data.h"
diff --git a/test/drbgtest.c b/test/drbgtest.c
index 7325e2ff..a9ba5b49 100644
--- a/test/drbgtest.c
+++ b/test/drbgtest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,8 +15,8 @@
#include <openssl/obj_mac.h>
#include <openssl/evp.h>
#include <openssl/aes.h>
-#include "../crypto/rand/rand_lcl.h"
-#include "../crypto/include/internal/rand_int.h"
+#include "../crypto/rand/rand_local.h"
+#include "../include/crypto/rand.h"
#if defined(_WIN32)
# include <windows.h>
@@ -286,7 +286,6 @@ static int instantiate(RAND_DRBG *drbg, DRBG_SELFTEST_DATA *td,
*/
static int error_check(DRBG_SELFTEST_DATA *td)
{
- static char zero[sizeof(RAND_DRBG)];
RAND_DRBG *drbg = NULL;
TEST_CTX t;
unsigned char buff[1024];
@@ -302,7 +301,7 @@ static int error_check(DRBG_SELFTEST_DATA *td)
/* Test detection of too large personalisation string */
if (!init(drbg, td, &t)
- || RAND_DRBG_instantiate(drbg, td->pers, drbg->max_perslen + 1) > 0)
+ || !TEST_false(RAND_DRBG_instantiate(drbg, td->pers, drbg->max_perslen + 1)))
goto err;
/*
@@ -311,7 +310,7 @@ static int error_check(DRBG_SELFTEST_DATA *td)
/* Test entropy source failure detection: i.e. returns no data */
t.entropylen = 0;
- if (TEST_int_le(RAND_DRBG_instantiate(drbg, td->pers, td->perslen), 0))
+ if (!TEST_false(RAND_DRBG_instantiate(drbg, td->pers, td->perslen)))
goto err;
/* Try to generate output from uninstantiated DRBG */
@@ -321,16 +320,18 @@ static int error_check(DRBG_SELFTEST_DATA *td)
goto err;
/* Test insufficient entropy */
+ if (!init(drbg, td, &t))
+ goto err;
t.entropylen = drbg->min_entropylen - 1;
- if (!init(drbg, td, &t)
- || RAND_DRBG_instantiate(drbg, td->pers, td->perslen) > 0
+ if (!TEST_false(RAND_DRBG_instantiate(drbg, td->pers, td->perslen))
|| !uninstantiate(drbg))
goto err;
/* Test too much entropy */
+ if (!init(drbg, td, &t))
+ goto err;
t.entropylen = drbg->max_entropylen + 1;
- if (!init(drbg, td, &t)
- || RAND_DRBG_instantiate(drbg, td->pers, td->perslen) > 0
+ if (!TEST_false(RAND_DRBG_instantiate(drbg, td->pers, td->perslen))
|| !uninstantiate(drbg))
goto err;
@@ -340,18 +341,20 @@ static int error_check(DRBG_SELFTEST_DATA *td)
/* Test too small nonce */
if (drbg->min_noncelen) {
+ if (!init(drbg, td, &t))
+ goto err;
t.noncelen = drbg->min_noncelen - 1;
- if (!init(drbg, td, &t)
- || RAND_DRBG_instantiate(drbg, td->pers, td->perslen) > 0
+ if (!TEST_false(RAND_DRBG_instantiate(drbg, td->pers, td->perslen))
|| !uninstantiate(drbg))
goto err;
}
/* Test too large nonce */
if (drbg->max_noncelen) {
+ if (!init(drbg, td, &t))
+ goto err;
t.noncelen = drbg->max_noncelen + 1;
- if (!init(drbg, td, &t)
- || RAND_DRBG_instantiate(drbg, td->pers, td->perslen) > 0
+ if (!TEST_false(RAND_DRBG_instantiate(drbg, td->pers, td->perslen))
|| !uninstantiate(drbg))
goto err;
}
@@ -377,7 +380,7 @@ static int error_check(DRBG_SELFTEST_DATA *td)
* failure.
*/
t.entropylen = 0;
- if (TEST_false(RAND_DRBG_generate(drbg, buff, td->exlen, 1,
+ if (!TEST_false(RAND_DRBG_generate(drbg, buff, td->exlen, 1,
td->adin, td->adinlen))
|| !uninstantiate(drbg))
goto err;
@@ -385,15 +388,15 @@ static int error_check(DRBG_SELFTEST_DATA *td)
/* Instantiate again with valid data */
if (!instantiate(drbg, td, &t))
goto err;
- reseed_counter_tmp = drbg->reseed_gen_counter;
- drbg->reseed_gen_counter = drbg->reseed_interval;
+ reseed_counter_tmp = drbg->generate_counter;
+ drbg->generate_counter = drbg->reseed_interval;
/* Generate output and check entropy has been requested for reseed */
t.entropycnt = 0;
if (!TEST_true(RAND_DRBG_generate(drbg, buff, td->exlen, 0,
td->adin, td->adinlen))
|| !TEST_int_eq(t.entropycnt, 1)
- || !TEST_int_eq(drbg->reseed_gen_counter, reseed_counter_tmp + 1)
+ || !TEST_int_eq(drbg->generate_counter, reseed_counter_tmp + 1)
|| !uninstantiate(drbg))
goto err;
@@ -410,15 +413,15 @@ static int error_check(DRBG_SELFTEST_DATA *td)
/* Test reseed counter works */
if (!instantiate(drbg, td, &t))
goto err;
- reseed_counter_tmp = drbg->reseed_gen_counter;
- drbg->reseed_gen_counter = drbg->reseed_interval;
+ reseed_counter_tmp = drbg->generate_counter;
+ drbg->generate_counter = drbg->reseed_interval;
/* Generate output and check entropy has been requested for reseed */
t.entropycnt = 0;
if (!TEST_true(RAND_DRBG_generate(drbg, buff, td->exlen, 0,
td->adin, td->adinlen))
|| !TEST_int_eq(t.entropycnt, 1)
- || !TEST_int_eq(drbg->reseed_gen_counter, reseed_counter_tmp + 1)
+ || !TEST_int_eq(drbg->generate_counter, reseed_counter_tmp + 1)
|| !uninstantiate(drbg))
goto err;
@@ -428,12 +431,12 @@ static int error_check(DRBG_SELFTEST_DATA *td)
/* Test explicit reseed with too large additional input */
if (!instantiate(drbg, td, &t)
- || RAND_DRBG_reseed(drbg, td->adin, drbg->max_adinlen + 1, 0) > 0)
+ || !TEST_false(RAND_DRBG_reseed(drbg, td->adin, drbg->max_adinlen + 1, 0)))
goto err;
/* Test explicit reseed with entropy source failure */
t.entropylen = 0;
- if (!TEST_int_le(RAND_DRBG_reseed(drbg, td->adin, td->adinlen, 0), 0)
+ if (!TEST_false(RAND_DRBG_reseed(drbg, td->adin, td->adinlen, 0))
|| !uninstantiate(drbg))
goto err;
@@ -441,7 +444,7 @@ static int error_check(DRBG_SELFTEST_DATA *td)
if (!instantiate(drbg, td, &t))
goto err;
t.entropylen = drbg->max_entropylen + 1;
- if (!TEST_int_le(RAND_DRBG_reseed(drbg, td->adin, td->adinlen, 0), 0)
+ if (!TEST_false(RAND_DRBG_reseed(drbg, td->adin, td->adinlen, 0))
|| !uninstantiate(drbg))
goto err;
@@ -449,14 +452,10 @@ static int error_check(DRBG_SELFTEST_DATA *td)
if (!instantiate(drbg, td, &t))
goto err;
t.entropylen = drbg->min_entropylen - 1;
- if (!TEST_int_le(RAND_DRBG_reseed(drbg, td->adin, td->adinlen, 0), 0)
+ if (!TEST_false(RAND_DRBG_reseed(drbg, td->adin, td->adinlen, 0))
|| !uninstantiate(drbg))
goto err;
- /* Standard says we have to check uninstantiate really zeroes */
- if (!TEST_mem_eq(zero, sizeof(drbg->data), &drbg->data, sizeof(drbg->data)))
- goto err;
-
ret = 1;
err:
@@ -483,7 +482,7 @@ static int test_error_checks(int i)
DRBG_SELFTEST_DATA *td = &drbg_test[i];
int rv = 0;
- if (error_check(td))
+ if (!error_check(td))
goto err;
rv = 1;
@@ -601,14 +600,14 @@ static int test_drbg_reseed(int expect_success,
*/
/* Test whether seed propagation is enabled */
- if (!TEST_int_ne(master->reseed_prop_counter, 0)
- || !TEST_int_ne(public->reseed_prop_counter, 0)
- || !TEST_int_ne(private->reseed_prop_counter, 0))
+ if (!TEST_int_ne(master->reseed_counter, 0)
+ || !TEST_int_ne(public->reseed_counter, 0)
+ || !TEST_int_ne(private->reseed_counter, 0))
return 0;
/* Check whether the master DRBG's reseed counter is the largest one */
- if (!TEST_int_le(public->reseed_prop_counter, master->reseed_prop_counter)
- || !TEST_int_le(private->reseed_prop_counter, master->reseed_prop_counter))
+ if (!TEST_int_le(public->reseed_counter, master->reseed_counter)
+ || !TEST_int_le(private->reseed_counter, master->reseed_counter))
return 0;
/*
@@ -656,8 +655,8 @@ static int test_drbg_reseed(int expect_success,
if (expect_success == 1) {
/* Test whether all three reseed counters are synchronized */
- if (!TEST_int_eq(public->reseed_prop_counter, master->reseed_prop_counter)
- || !TEST_int_eq(private->reseed_prop_counter, master->reseed_prop_counter))
+ if (!TEST_int_eq(public->reseed_counter, master->reseed_counter)
+ || !TEST_int_eq(private->reseed_counter, master->reseed_counter))
return 0;
/* Test whether reseed time of master DRBG is set correctly */
@@ -771,7 +770,7 @@ static int test_rand_drbg_reseed(void)
* Test whether the public and private DRBG are both reseeded when their
* reseed counters differ from the master's reseed counter.
*/
- master->reseed_prop_counter++;
+ master->reseed_counter++;
if (!TEST_true(test_drbg_reseed(1, master, public, private, 0, 1, 1, 0)))
goto error;
reset_drbg_hook_ctx();
@@ -780,8 +779,8 @@ static int test_rand_drbg_reseed(void)
* Test whether the public DRBG is reseeded when its reseed counter differs
* from the master's reseed counter.
*/
- master->reseed_prop_counter++;
- private->reseed_prop_counter++;
+ master->reseed_counter++;
+ private->reseed_counter++;
if (!TEST_true(test_drbg_reseed(1, master, public, private, 0, 1, 0, 0)))
goto error;
reset_drbg_hook_ctx();
@@ -790,8 +789,8 @@ static int test_rand_drbg_reseed(void)
* Test whether the private DRBG is reseeded when its reseed counter differs
* from the master's reseed counter.
*/
- master->reseed_prop_counter++;
- public->reseed_prop_counter++;
+ master->reseed_counter++;
+ public->reseed_counter++;
if (!TEST_true(test_drbg_reseed(1, master, public, private, 0, 0, 1, 0)))
goto error;
reset_drbg_hook_ctx();
@@ -824,7 +823,7 @@ static int test_rand_drbg_reseed(void)
* Test whether none of the DRBGs is reseed if the master fails to reseed
*/
master_ctx.fail = 1;
- master->reseed_prop_counter++;
+ master->reseed_counter++;
RAND_add(rand_add_buf, sizeof(rand_add_buf), sizeof(rand_add_buf));
if (!TEST_true(test_drbg_reseed(0, master, public, private, 0, 0, 0, 0)))
goto error;
diff --git a/test/dtls_mtu_test.c b/test/dtls_mtu_test.c
index 3aa519f1..f20edf02 100644
--- a/test/dtls_mtu_test.c
+++ b/test/dtls_mtu_test.c
@@ -18,7 +18,7 @@
#include "testutil.h"
/* for SSL_READ_ETM() */
-#include "../ssl/ssl_locl.h"
+#include "../ssl/ssl_local.h"
static int debug = 0;
diff --git a/test/dtlstest.c b/test/dtlstest.c
index ab4d4c15..1d7b105f 100644
--- a/test/dtlstest.c
+++ b/test/dtlstest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -122,7 +122,7 @@ static int test_dtls_unprocessed(int testidx)
#define CLI_TO_SRV_EPOCH_0_RECS 3
#define CLI_TO_SRV_EPOCH_1_RECS 1
#if !defined(OPENSSL_NO_EC) || !defined(OPENSSL_NO_DH)
-# define SRV_TO_CLI_EPOCH_0_RECS 12
+# define SRV_TO_CLI_EPOCH_0_RECS 10
#else
/*
* In this case we have no ServerKeyExchange message, because we don't have
diff --git a/test/ec_internal_test.c b/test/ec_internal_test.c
index 8d3a4fdd..5b708e20 100644
--- a/test/ec_internal_test.c
+++ b/test/ec_internal_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2019-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,7 +10,7 @@
#include "internal/nelem.h"
#include "testutil.h"
#include <openssl/ec.h>
-#include "ec_lcl.h"
+#include "ec_local.h"
#include <openssl/objects.h>
static size_t crv_len = 0;
@@ -183,6 +183,106 @@ static int field_tests_default(int n)
return ret;
}
+/*
+ * Tests behavior of the decoded_from_explicit_params flag and API
+ */
+static int decoded_flag_test(void)
+{
+ EC_GROUP *grp;
+ EC_GROUP *grp_copy = NULL;
+ ECPARAMETERS *ecparams = NULL;
+ ECPKPARAMETERS *ecpkparams = NULL;
+ EC_KEY *key = NULL;
+ unsigned char *encodedparams = NULL;
+ const unsigned char *encp;
+ int encodedlen;
+ int testresult = 0;
+
+ /* Test EC_GROUP_new not setting the flag */
+ grp = EC_GROUP_new(EC_GFp_simple_method());
+ if (!TEST_ptr(grp)
+ || !TEST_int_eq(grp->decoded_from_explicit_params, 0))
+ goto err;
+ EC_GROUP_free(grp);
+
+ /* Test EC_GROUP_new_by_curve_name not setting the flag */
+ grp = EC_GROUP_new_by_curve_name(NID_X9_62_prime256v1);
+ if (!TEST_ptr(grp)
+ || !TEST_int_eq(grp->decoded_from_explicit_params, 0))
+ goto err;
+
+ /* Test EC_GROUP_new_from_ecparameters not setting the flag */
+ if (!TEST_ptr(ecparams = EC_GROUP_get_ecparameters(grp, NULL))
+ || !TEST_ptr(grp_copy = EC_GROUP_new_from_ecparameters(ecparams))
+ || !TEST_int_eq(grp_copy->decoded_from_explicit_params, 0))
+ goto err;
+ EC_GROUP_free(grp_copy);
+ grp_copy = NULL;
+ ECPARAMETERS_free(ecparams);
+ ecparams = NULL;
+
+ /* Test EC_GROUP_new_from_ecpkparameters not setting the flag */
+ if (!TEST_int_eq(EC_GROUP_get_asn1_flag(grp), OPENSSL_EC_NAMED_CURVE)
+ || !TEST_ptr(ecpkparams = EC_GROUP_get_ecpkparameters(grp, NULL))
+ || !TEST_ptr(grp_copy = EC_GROUP_new_from_ecpkparameters(ecpkparams))
+ || !TEST_int_eq(grp_copy->decoded_from_explicit_params, 0)
+ || !TEST_ptr(key = EC_KEY_new())
+ /* Test EC_KEY_decoded_from_explicit_params on key without a group */
+ || !TEST_int_eq(EC_KEY_decoded_from_explicit_params(key), -1)
+ || !TEST_int_eq(EC_KEY_set_group(key, grp_copy), 1)
+ /* Test EC_KEY_decoded_from_explicit_params negative case */
+ || !TEST_int_eq(EC_KEY_decoded_from_explicit_params(key), 0))
+ goto err;
+ EC_GROUP_free(grp_copy);
+ grp_copy = NULL;
+ ECPKPARAMETERS_free(ecpkparams);
+ ecpkparams = NULL;
+
+ /* Test d2i_ECPKParameters with named params not setting the flag */
+ if (!TEST_int_gt(encodedlen = i2d_ECPKParameters(grp, &encodedparams), 0)
+ || !TEST_ptr(encp = encodedparams)
+ || !TEST_ptr(grp_copy = d2i_ECPKParameters(NULL, &encp, encodedlen))
+ || !TEST_int_eq(grp_copy->decoded_from_explicit_params, 0))
+ goto err;
+ EC_GROUP_free(grp_copy);
+ grp_copy = NULL;
+ OPENSSL_free(encodedparams);
+ encodedparams = NULL;
+
+ /* Asn1 flag stays set to explicit with EC_GROUP_new_from_ecpkparameters */
+ EC_GROUP_set_asn1_flag(grp, OPENSSL_EC_EXPLICIT_CURVE);
+ if (!TEST_ptr(ecpkparams = EC_GROUP_get_ecpkparameters(grp, NULL))
+ || !TEST_ptr(grp_copy = EC_GROUP_new_from_ecpkparameters(ecpkparams))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(grp_copy), OPENSSL_EC_EXPLICIT_CURVE)
+ || !TEST_int_eq(grp_copy->decoded_from_explicit_params, 0))
+ goto err;
+ EC_GROUP_free(grp_copy);
+ grp_copy = NULL;
+
+ /* Test d2i_ECPKParameters with explicit params setting the flag */
+ if (!TEST_int_gt(encodedlen = i2d_ECPKParameters(grp, &encodedparams), 0)
+ || !TEST_ptr(encp = encodedparams)
+ || !TEST_ptr(grp_copy = d2i_ECPKParameters(NULL, &encp, encodedlen))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(grp_copy), OPENSSL_EC_EXPLICIT_CURVE)
+ || !TEST_int_eq(grp_copy->decoded_from_explicit_params, 1)
+ || !TEST_int_eq(EC_KEY_set_group(key, grp_copy), 1)
+ /* Test EC_KEY_decoded_from_explicit_params positive case */
+ || !TEST_int_eq(EC_KEY_decoded_from_explicit_params(key), 1))
+ goto err;
+
+ testresult = 1;
+
+ err:
+ EC_KEY_free(key);
+ EC_GROUP_free(grp);
+ EC_GROUP_free(grp_copy);
+ ECPARAMETERS_free(ecparams);
+ ECPKPARAMETERS_free(ecpkparams);
+ OPENSSL_free(encodedparams);
+
+ return testresult;
+}
+
int setup_tests(void)
{
crv_len = EC_get_builtin_curves(NULL, 0);
@@ -196,6 +296,7 @@ int setup_tests(void)
ADD_TEST(field_tests_ec2_simple);
#endif
ADD_ALL_TESTS(field_tests_default, crv_len);
+ ADD_TEST(decoded_flag_test);
return 1;
}
diff --git a/test/ecdsatest.h b/test/ecdsatest.h
index 216e66e2..63fe3190 100644
--- a/test/ecdsatest.h
+++ b/test/ecdsatest.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef ECDSATEST_CAVS_H
-# define ECDSATEST_CAVS_H
+#ifndef OSSL_TEST_ECDSATEST_H
+# define OSSL_TEST_ECDSATEST_H
/*-
* NIST CAVP ECDSA KATs:
@@ -10211,4 +10211,4 @@ static const ecdsa_cavs_kat_t ecdsa_cavs_kats[] = {
"1c8c4343a8ecbf7c4d4e48f7d76d5658bc027c77086ec8b10097deb307d6"}
# endif /* OPENSSL_NO_EC2M */
};
-#endif /* ECDSATEST_CAVS_H */
+#endif /* OSSL_TEST_ECDSATEST_H */
diff --git a/test/ectest.c b/test/ectest.c
index 136dc741..9bdbf70a 100644
--- a/test/ectest.c
+++ b/test/ectest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -1999,7 +1999,188 @@ static int cardinality_test(int n)
BN_CTX_free(ctx);
return ret;
}
-#endif
+
+/*
+ * Helper for ec_point_hex2point_test
+ *
+ * Self-tests EC_POINT_point2hex() against EC_POINT_hex2point() for the given
+ * (group,P) pair.
+ *
+ * If P is NULL use point at infinity.
+ */
+static ossl_inline
+int ec_point_hex2point_test_helper(const EC_GROUP *group, const EC_POINT *P,
+ point_conversion_form_t form,
+ BN_CTX *bnctx)
+{
+ int ret = 0;
+ EC_POINT *Q = NULL, *Pinf = NULL;
+ char *hex = NULL;
+
+ if (P == NULL) {
+ /* If P is NULL use point at infinity. */
+ if (!TEST_ptr(Pinf = EC_POINT_new(group))
+ || !TEST_true(EC_POINT_set_to_infinity(group, Pinf)))
+ goto err;
+ P = Pinf;
+ }
+
+ if (!TEST_ptr(hex = EC_POINT_point2hex(group, P, form, bnctx))
+ || !TEST_ptr(Q = EC_POINT_hex2point(group, hex, NULL, bnctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, bnctx)))
+ goto err;
+
+ /*
+ * The next check is most likely superfluous, as EC_POINT_cmp should already
+ * cover this.
+ * Nonetheless it increases the test coverage for EC_POINT_is_at_infinity,
+ * so we include it anyway!
+ */
+ if (Pinf != NULL
+ && !TEST_true(EC_POINT_is_at_infinity(group, Q)))
+ goto err;
+
+ ret = 1;
+
+ err:
+ EC_POINT_free(Pinf);
+ OPENSSL_free(hex);
+ EC_POINT_free(Q);
+
+ return ret;
+}
+
+/*
+ * This test self-validates EC_POINT_hex2point() and EC_POINT_point2hex()
+ */
+static int ec_point_hex2point_test(int id)
+{
+ int ret = 0, nid;
+ EC_GROUP *group = NULL;
+ const EC_POINT *G = NULL;
+ EC_POINT *P = NULL;
+ BN_CTX * bnctx = NULL;
+
+ /* Do some setup */
+ nid = curves[id].nid;
+ if (!TEST_ptr(bnctx = BN_CTX_new())
+ || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
+ || !TEST_ptr(G = EC_GROUP_get0_generator(group))
+ || !TEST_ptr(P = EC_POINT_dup(G, group)))
+ goto err;
+
+ if (!TEST_true(ec_point_hex2point_test_helper(group, P,
+ POINT_CONVERSION_COMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
+ POINT_CONVERSION_COMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, P,
+ POINT_CONVERSION_UNCOMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
+ POINT_CONVERSION_UNCOMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, P,
+ POINT_CONVERSION_HYBRID,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
+ POINT_CONVERSION_HYBRID,
+ bnctx)))
+ goto err;
+
+ ret = 1;
+
+ err:
+ EC_POINT_free(P);
+ EC_GROUP_free(group);
+ BN_CTX_free(bnctx);
+
+ return ret;
+}
+
+/*
+ * check the EC_METHOD respects the supplied EC_GROUP_set_generator G
+ */
+static int custom_generator_test(int id)
+{
+ int ret = 0, nid, bsize;
+ EC_GROUP *group = NULL;
+ EC_POINT *G2 = NULL, *Q1 = NULL, *Q2 = NULL;
+ BN_CTX *ctx = NULL;
+ BIGNUM *k = NULL;
+ unsigned char *b1 = NULL, *b2 = NULL;
+
+ /* Do some setup */
+ nid = curves[id].nid;
+ TEST_note("Curve %s", OBJ_nid2sn(nid));
+ if (!TEST_ptr(ctx = BN_CTX_new()))
+ return 0;
+
+ BN_CTX_start(ctx);
+
+ if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)))
+ goto err;
+
+ /* expected byte length of encoded points */
+ bsize = (EC_GROUP_get_degree(group) + 7) / 8;
+ bsize = 2 * bsize + 1;
+
+ if (!TEST_ptr(k = BN_CTX_get(ctx))
+ /* fetch a testing scalar k != 0,1 */
+ || !TEST_true(BN_rand(k, EC_GROUP_order_bits(group) - 1,
+ BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))
+ /* make k even */
+ || !TEST_true(BN_clear_bit(k, 0))
+ || !TEST_ptr(G2 = EC_POINT_new(group))
+ || !TEST_ptr(Q1 = EC_POINT_new(group))
+ /* Q1 := kG */
+ || !TEST_true(EC_POINT_mul(group, Q1, k, NULL, NULL, ctx))
+ /* pull out the bytes of that */
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
+ POINT_CONVERSION_UNCOMPRESSED, NULL,
+ 0, ctx), bsize)
+ || !TEST_ptr(b1 = OPENSSL_malloc(bsize))
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
+ POINT_CONVERSION_UNCOMPRESSED, b1,
+ bsize, ctx), bsize)
+ /* new generator is G2 := 2G */
+ || !TEST_true(EC_POINT_dbl(group, G2, EC_GROUP_get0_generator(group),
+ ctx))
+ || !TEST_true(EC_GROUP_set_generator(group, G2,
+ EC_GROUP_get0_order(group),
+ EC_GROUP_get0_cofactor(group)))
+ || !TEST_ptr(Q2 = EC_POINT_new(group))
+ || !TEST_true(BN_rshift1(k, k))
+ /* Q2 := k/2 G2 */
+ || !TEST_true(EC_POINT_mul(group, Q2, k, NULL, NULL, ctx))
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q2,
+ POINT_CONVERSION_UNCOMPRESSED, NULL,
+ 0, ctx), bsize)
+ || !TEST_ptr(b2 = OPENSSL_malloc(bsize))
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q2,
+ POINT_CONVERSION_UNCOMPRESSED, b2,
+ bsize, ctx), bsize)
+ /* Q1 = kG = k/2 G2 = Q2 should hold */
+ || !TEST_int_eq(CRYPTO_memcmp(b1, b2, bsize), 0))
+ goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ EC_POINT_free(Q1);
+ EC_POINT_free(Q2);
+ EC_POINT_free(G2);
+ EC_GROUP_free(group);
+ BN_CTX_free(ctx);
+ OPENSSL_free(b1);
+ OPENSSL_free(b2);
+
+ return ret;
+}
+
+#endif /* OPENSSL_NO_EC */
int setup_tests(void)
{
@@ -2025,6 +2206,8 @@ int setup_tests(void)
ADD_ALL_TESTS(internal_curve_test_method, crv_len);
ADD_ALL_TESTS(check_named_curve_from_ecparameters, crv_len);
+ ADD_ALL_TESTS(ec_point_hex2point_test, crv_len);
+ ADD_ALL_TESTS(custom_generator_test, crv_len);
#endif /* OPENSSL_NO_EC */
return 1;
}
diff --git a/test/evp_extra_test.c b/test/evp_extra_test.c
index 3ae6408f..a74f6332 100644
--- a/test/evp_extra_test.c
+++ b/test/evp_extra_test.c
@@ -18,9 +18,10 @@
#include <openssl/x509.h>
#include <openssl/pem.h>
#include <openssl/kdf.h>
+#include <openssl/dh.h>
#include "testutil.h"
#include "internal/nelem.h"
-#include "internal/evp_int.h"
+#include "crypto/evp.h"
/*
* kExampleRSAKeyDER is an RSA private key in ASN.1, DER format. Of course, you
@@ -1069,6 +1070,109 @@ done:
}
#endif
+#if !defined(OPENSSL_NO_CHACHA) && !defined(OPENSSL_NO_POLY1305)
+static int test_decrypt_null_chunks(void)
+{
+ EVP_CIPHER_CTX* ctx = NULL;
+ const unsigned char key[32] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b,
+ 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
+ 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1
+ };
+ unsigned char iv[12] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b
+ };
+ unsigned char msg[] = "It was the best of times, it was the worst of times";
+ unsigned char ciphertext[80];
+ unsigned char plaintext[80];
+ /* We initialise tmp to a non zero value on purpose */
+ int ctlen, ptlen, tmp = 99;
+ int ret = 0;
+ const int enc_offset = 10, dec_offset = 20;
+
+ if (!TEST_ptr(ctx = EVP_CIPHER_CTX_new())
+ || !TEST_true(EVP_EncryptInit_ex(ctx, EVP_chacha20_poly1305(), NULL,
+ key, iv))
+ || !TEST_true(EVP_EncryptUpdate(ctx, ciphertext, &ctlen, msg,
+ enc_offset))
+ /* Deliberate add a zero length update */
+ || !TEST_true(EVP_EncryptUpdate(ctx, ciphertext + ctlen, &tmp, NULL,
+ 0))
+ || !TEST_int_eq(tmp, 0)
+ || !TEST_true(EVP_EncryptUpdate(ctx, ciphertext + ctlen, &tmp,
+ msg + enc_offset,
+ sizeof(msg) - enc_offset))
+ || !TEST_int_eq(ctlen += tmp, sizeof(msg))
+ || !TEST_true(EVP_EncryptFinal(ctx, ciphertext + ctlen, &tmp))
+ || !TEST_int_eq(tmp, 0))
+ goto err;
+
+ /* Deliberately initialise tmp to a non zero value */
+ tmp = 99;
+ if (!TEST_true(EVP_DecryptInit_ex(ctx, EVP_chacha20_poly1305(), NULL, key,
+ iv))
+ || !TEST_true(EVP_DecryptUpdate(ctx, plaintext, &ptlen, ciphertext,
+ dec_offset))
+ /*
+ * Deliberately add a zero length update. We also deliberately do
+ * this at a different offset than for encryption.
+ */
+ || !TEST_true(EVP_DecryptUpdate(ctx, plaintext + ptlen, &tmp, NULL,
+ 0))
+ || !TEST_int_eq(tmp, 0)
+ || !TEST_true(EVP_DecryptUpdate(ctx, plaintext + ptlen, &tmp,
+ ciphertext + dec_offset,
+ ctlen - dec_offset))
+ || !TEST_int_eq(ptlen += tmp, sizeof(msg))
+ || !TEST_true(EVP_DecryptFinal(ctx, plaintext + ptlen, &tmp))
+ || !TEST_int_eq(tmp, 0)
+ || !TEST_mem_eq(msg, sizeof(msg), plaintext, ptlen))
+ goto err;
+
+ ret = 1;
+ err:
+ EVP_CIPHER_CTX_free(ctx);
+ return ret;
+}
+#endif /* !defined(OPENSSL_NO_CHACHA) && !defined(OPENSSL_NO_POLY1305) */
+
+#ifndef OPENSSL_NO_DH
+static int test_EVP_PKEY_set1_DH(void)
+{
+ DH *x942dh, *pkcs3dh;
+ EVP_PKEY *pkey1, *pkey2;
+ int ret = 0;
+
+ x942dh = DH_get_2048_256();
+ pkcs3dh = DH_new_by_nid(NID_ffdhe2048);
+ pkey1 = EVP_PKEY_new();
+ pkey2 = EVP_PKEY_new();
+ if (!TEST_ptr(x942dh)
+ || !TEST_ptr(pkcs3dh)
+ || !TEST_ptr(pkey1)
+ || !TEST_ptr(pkey2))
+ goto err;
+
+ if(!TEST_true(EVP_PKEY_set1_DH(pkey1, x942dh))
+ || !TEST_int_eq(EVP_PKEY_id(pkey1), EVP_PKEY_DHX))
+ goto err;
+
+
+ if(!TEST_true(EVP_PKEY_set1_DH(pkey2, pkcs3dh))
+ || !TEST_int_eq(EVP_PKEY_id(pkey2), EVP_PKEY_DH))
+ goto err;
+
+ ret = 1;
+ err:
+ EVP_PKEY_free(pkey1);
+ EVP_PKEY_free(pkey2);
+ DH_free(x942dh);
+ DH_free(pkcs3dh);
+
+ return ret;
+}
+#endif
+
int setup_tests(void)
{
ADD_TEST(test_EVP_DigestSignInit);
@@ -1098,5 +1202,12 @@ int setup_tests(void)
ADD_ALL_TESTS(test_invalide_ec_char2_pub_range_decode,
OSSL_NELEM(ec_der_pub_keys));
#endif
+#if !defined(OPENSSL_NO_CHACHA) && !defined(OPENSSL_NO_POLY1305)
+ ADD_TEST(test_decrypt_null_chunks);
+#endif
+#ifndef OPENSSL_NO_DH
+ ADD_TEST(test_EVP_PKEY_set1_DH);
+#endif
+
return 1;
}
diff --git a/test/handshake_helper.c b/test/handshake_helper.c
index 27ff7940..167447b2 100644
--- a/test/handshake_helper.c
+++ b/test/handshake_helper.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -16,7 +16,7 @@
#include <openssl/srp.h>
#endif
-#include "../ssl/ssl_locl.h"
+#include "../ssl/ssl_local.h"
#include "internal/sockets.h"
#include "internal/nelem.h"
#include "handshake_helper.h"
@@ -637,7 +637,8 @@ static int configure_handshake_ctx(SSL_CTX *server_ctx, SSL_CTX *server2_ctx,
}
if (extra->client.alpn_protocols != NULL) {
unsigned char *alpn_protos = NULL;
- size_t alpn_protos_len;
+ size_t alpn_protos_len = 0;
+
if (!TEST_true(parse_protos(extra->client.alpn_protocols,
&alpn_protos, &alpn_protos_len))
/* Reversed return value convention... */
diff --git a/test/handshake_helper.h b/test/handshake_helper.h
index ab6446a4..96406dd9 100644
--- a/test/handshake_helper.h
+++ b/test/handshake_helper.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_HANDSHAKE_HELPER_H
-#define HEADER_HANDSHAKE_HELPER_H
+#ifndef OSSL_TEST_HANDSHAKE_HELPER_H
+#define OSSL_TEST_HANDSHAKE_HELPER_H
#include "ssl_test_ctx.h"
@@ -78,4 +78,4 @@ HANDSHAKE_RESULT *do_handshake(SSL_CTX *server_ctx, SSL_CTX *server2_ctx,
SSL_CTX *resume_client_ctx,
const SSL_TEST_CTX *test_ctx);
-#endif /* HEADER_HANDSHAKE_HELPER_H */
+#endif /* OSSL_TEST_HANDSHAKE_HELPER_H */
diff --git a/test/hmactest.c b/test/hmactest.c
index ca775773..39955497 100644
--- a/test/hmactest.c
+++ b/test/hmactest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -173,6 +173,27 @@ static int test_hmac_run(void)
if (!TEST_str_eq(p, (char *)test[6].digest))
goto err;
+ /* Test reusing a key */
+ if (!TEST_true(HMAC_Init_ex(ctx, NULL, 0, NULL, NULL))
+ || !TEST_true(HMAC_Update(ctx, test[6].data, test[6].data_len))
+ || !TEST_true(HMAC_Final(ctx, buf, &len)))
+ goto err;
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, (char *)test[6].digest))
+ goto err;
+
+ /*
+ * Test reusing a key where the digest is provided again but is the same as
+ * last time
+ */
+ if (!TEST_true(HMAC_Init_ex(ctx, NULL, 0, EVP_sha256(), NULL))
+ || !TEST_true(HMAC_Update(ctx, test[6].data, test[6].data_len))
+ || !TEST_true(HMAC_Final(ctx, buf, &len)))
+ goto err;
+ p = pt(buf, len);
+ if (!TEST_str_eq(p, (char *)test[6].digest))
+ goto err;
+
ret = 1;
err:
HMAC_CTX_free(ctx);
diff --git a/test/modes_internal_test.c b/test/modes_internal_test.c
index e0f1adf6..a0fa86e6 100644
--- a/test/modes_internal_test.c
+++ b/test/modes_internal_test.c
@@ -14,7 +14,7 @@
#include <openssl/aes.h>
#include <openssl/modes.h>
-#include "../crypto/modes/modes_lcl.h"
+#include "../crypto/modes/modes_local.h"
#include "testutil.h"
#include "internal/nelem.h"
diff --git a/test/ossl_shim/async_bio.h b/test/ossl_shim/async_bio.h
index bb24eadb..c09e236a 100644
--- a/test/ossl_shim/async_bio.h
+++ b/test/ossl_shim/async_bio.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_ASYNC_BIO
-#define HEADER_ASYNC_BIO
+#ifndef OSSL_TEST_SHIM_ASYNC_BIO_H
+#define OSSL_TEST_SHIM_ASYNC_BIO_H
#include <openssl/base.h>
#include <openssl/bio.h>
@@ -36,4 +36,4 @@ void AsyncBioAllowWrite(BIO *bio, size_t count);
void AsyncBioEnforceWriteQuota(BIO *bio, bool enforce);
-#endif // HEADER_ASYNC_BIO
+#endif // OSSL_TEST_SHIM_ASYNC_BIO_H
diff --git a/test/ossl_shim/include/openssl/base.h b/test/ossl_shim/include/openssl/base.h
index f725cd9d..a8d47b86 100644
--- a/test/ossl_shim/include/openssl/base.h
+++ b/test/ossl_shim/include/openssl/base.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef OPENSSL_HEADER_BASE_H
-#define OPENSSL_HEADER_BASE_H
+#ifndef OSSL_TEST_SHIM_INCLUDE_OPENSSL_BASE_H
+#define OSSL_TEST_SHIM_INCLUDE_OPENSSL_BASE_H
/* Needed for BORINGSSL_MAKE_DELETER */
# include <openssl/bio.h>
@@ -108,4 +108,4 @@ BORINGSSL_MAKE_DELETER(SSL_SESSION, SSL_SESSION_free)
} /* extern C++ */
-#endif /* OPENSSL_HEADER_BASE_H */
+#endif /* OSSL_TEST_SHIM_INCLUDE_OPENSSL_BASE_H */
diff --git a/test/ossl_shim/packeted_bio.h b/test/ossl_shim/packeted_bio.h
index 436cf908..895bd379 100644
--- a/test/ossl_shim/packeted_bio.h
+++ b/test/ossl_shim/packeted_bio.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_PACKETED_BIO
-#define HEADER_PACKETED_BIO
+#ifndef OSSL_TEST_SHIM_PACKETED_BIO_H
+#define OSSL_TEST_SHIM_PACKETED_BIO_H
#include <openssl/base.h>
#include <openssl/bio.h>
@@ -32,4 +32,4 @@ timeval PacketedBioGetClock(const BIO *bio);
bool PacketedBioAdvanceClock(BIO *bio);
-#endif // HEADER_PACKETED_BIO
+#endif // OSSL_TEST_SHIM_PACKETED_BIO_H
diff --git a/test/ossl_shim/test_config.h b/test/ossl_shim/test_config.h
index b4efa455..f95475a4 100644
--- a/test/ossl_shim/test_config.h
+++ b/test/ossl_shim/test_config.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_TEST_CONFIG
-#define HEADER_TEST_CONFIG
+#ifndef OSSL_TEST_SHIM_TEST_CONFIG_H
+#define OSSL_TEST_SHIM_TEST_CONFIG_H
#include <string>
#include <vector>
@@ -85,4 +85,4 @@ struct TestConfig {
bool ParseConfig(int argc, char **argv, TestConfig *out_config);
-#endif // HEADER_TEST_CONFIG
+#endif // OSSL_TEST_SHIM_TEST_CONFIG_H
diff --git a/test/packettest.c b/test/packettest.c
index e58d8d8b..6c82d044 100644
--- a/test/packettest.c
+++ b/test/packettest.c
@@ -7,7 +7,7 @@
* https://www.openssl.org/source/license.html
*/
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#include "testutil.h"
#define BUF_LEN 255
diff --git a/test/poly1305_internal_test.c b/test/poly1305_internal_test.c
index 7f7a9e39..2b6a529b 100644
--- a/test/poly1305_internal_test.c
+++ b/test/poly1305_internal_test.c
@@ -13,7 +13,7 @@
#include <string.h>
#include "testutil.h"
-#include "internal/poly1305.h"
+#include "crypto/poly1305.h"
#include "../crypto/poly1305/poly1305_local.h"
#include "internal/nelem.h"
diff --git a/test/recipes/04-test_pem.t b/test/recipes/04-test_pem.t
index c3216111..4f24011e 100644
--- a/test/recipes/04-test_pem.t
+++ b/test/recipes/04-test_pem.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2017 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -28,6 +28,8 @@ my %cert_expected = (
"cert-1023line.pem" => 1,
"cert-1024line.pem" => 1,
"cert-1025line.pem" => 1,
+ "cert-254-chars-at-the-end.pem" => 1,
+ "cert-254-chars-in-the-middle.pem" => 1,
"cert-255line.pem" => 1,
"cert-256line.pem" => 1,
"cert-257line.pem" => 1,
@@ -42,6 +44,7 @@ my %cert_expected = (
"cert-misalignedpad.pem" => 0,
"cert-onecolumn.pem" => 1,
"cert-oneline.pem" => 1,
+ "cert-oneline-multiple-of-254.pem" => 1,
"cert-shortandlongline.pem" => 1,
"cert-shortline.pem" => 1,
"cert-threecolumn.pem" => 1,
diff --git a/test/recipes/04-test_pem_data/cert-254-chars-at-the-end.pem b/test/recipes/04-test_pem_data/cert-254-chars-at-the-end.pem
new file mode 100644
index 00000000..0b6a3ba3
--- /dev/null
+++ b/test/recipes/04-test_pem_data/cert-254-chars-at-the-end.pem
@@ -0,0 +1,6 @@
+-----BEGIN CERTIFICATE-----
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
+mipKB41NPXrbp/T5eu+fndvZq72N/Tq0vZp2dRoz89NEFC3jYVBjp4pmVwCS9F/fGX1tnVfhb9k/4fqiI/y9lBVzxaHyMG/pt0D2nTS8iaMTM7uBeRvB5rUZlEbU8uvv4GXu3CeP/NnVceXruGbPb4IpjfoUbGLvn5oK35h8a+LNY5f7QRBlAXtUwYrdxVzT+CqQ4wIAuqoIVXgRIweveS1ArbS8hOtsVnu1bUAQVKqORHx8gtbOyiA4heTCEOkwh45YV6KW+uLI1wTeE4E9erlI4RwZ7umbBnQai/hYL//AUfQKQhpGbgfyJrS0UYY7WEP/mcFQh0U2EBTXtAy/e4XPiftViR3+pd+G2TJ/JFofDDzJRrceeo
+9tUnMr0pKtU7oB77lSKgsruKKkhn6lLH8CAwEAAaNTMFEwHQYDVR0OBBYEFIkawSiFUdL6G3jw8qg1WQI8Xi4rMB8GA1UdIwQYMBaAFIkawSiFUdL6G3jw8qg1WQI8Xi4rMA8GA1UdEwEB/wQFMAMBAf8wDQYJKoZIhvcNAQELBQADggE0AAHe/+71vykcq9BQ5h2X7MpnkE5n0Yn0Xi24uuCpv59JjABmOdaeT6XBQ5UJN8WfidawgzbJ6WiWgjflaMfRfjsdCJRgvdw0gfXXXrsseJMeMYnw1hQTGuB83BKjXBdL6zb45qGf2Fgjm3aNW2NUVM+Q2QfMjo
+Kx13hTyDh9l5nOhMv/Rkygcx1Row2WbkvrhxvCLxY0VhL7RuPV8K0ogKicv8VJgQriOUVTTkqBP1xUimKSTaNaZ8KAnC7thxxZHxsNa45a6AouPSzyAOPZQgCJW83OIFxvWsdYU1KvP1wmoi1XC9giSQ/5sLPu/eAYTzmY+Xd6Sq8dF8uyodeI2gFu3AzC28PVKeUriIGfxaqEUn+aXx5W+r8JTE6fQ9mBo9YxJBXG+OTIFgHR27q2dJwqK9c=
+-----END CERTIFICATE-----
diff --git a/test/recipes/04-test_pem_data/cert-254-chars-in-the-middle.pem b/test/recipes/04-test_pem_data/cert-254-chars-in-the-middle.pem
new file mode 100644
index 00000000..cc9076b4
--- /dev/null
+++ b/test/recipes/04-test_pem_data/cert-254-chars-in-the-middle.pem
@@ -0,0 +1,5 @@
+-----BEGIN CERTIFICATE-----
+MIIEcjCCAyegAwIBAgIUPLgYY73GEwkikNCKRJrcbCR+TbQwDQYJKoZIhvcNAQELBQAwgZUxCzAJBgNVBAYTAkFVMWMwYQYDVQQIDFpUaGUgR3JlYXQgU3RhdGUgb2YgTG9uZy1XaW5kZWQgQ2VydGlmaWNhdGUgRmllbGQgTmFtZXMgV2hlcmVieSB0byBJbmNyZWFzZSB0aGUgT
+3V0cHV0IFNpemUxITAfBgNVBAoMGEludGVybmV0IFdpZGdpdHMgUHR5IEx0ZDAeFw0yMDA0MDcwMDAwNDJaFw0zMDA0MDUwMDAwNDJaMIGVMQswCQYDVQQGEwJBVTFjMGEGA1UECAxaVGhlIEdyZWF0IFN0YXRlIG9mIExvbmctV2luZGVkIENlcnRpZmljYXRlIEZpZWxkIE5hbWVzIFdoZXJlYnkgdG8gSW5jcmVhc2UgdGhlIE91dHB1dCB
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
+-----END CERTIFICATE-----
diff --git a/test/recipes/04-test_pem_data/cert-oneline-multiple-of-254.pem b/test/recipes/04-test_pem_data/cert-oneline-multiple-of-254.pem
new file mode 100644
index 00000000..e0af8595
--- /dev/null
+++ b/test/recipes/04-test_pem_data/cert-oneline-multiple-of-254.pem
@@ -0,0 +1,3 @@
+-----BEGIN CERTIFICATE-----
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
+-----END CERTIFICATE-----
diff --git a/test/recipes/05-test_cmac.t b/test/recipes/05-test_cmac.t
new file mode 100644
index 00000000..da4272c7
--- /dev/null
+++ b/test/recipes/05-test_cmac.t
@@ -0,0 +1,12 @@
+#! /usr/bin/env perl
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the Apache License 2.0 (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+
+
+use OpenSSL::Test::Simple;
+
+simple_test("test_cmac", "cmactest", "cmac");
diff --git a/test/recipes/10-test_bn.t b/test/recipes/10-test_bn.t
index a663009c..4e38c8f8 100644
--- a/test/recipes/10-test_bn.t
+++ b/test/recipes/10-test_bn.t
@@ -16,9 +16,8 @@ use OpenSSL::Test qw/:DEFAULT data_file/;
setup("test_bn");
-my @files = (
- "bnexp.txt", "bnmod.txt", "bnmul.txt", "bnshift.txt", "bnsum.txt"
- );
+my @files = qw( bnexp.txt bnmod.txt bnmul.txt bnshift.txt bnsum.txt bngcd.txt );
+
plan tests => 1 + scalar(@files);
foreach my $f ( @files ) {
diff --git a/test/recipes/10-test_bn_data/bngcd.txt b/test/recipes/10-test_bn_data/bngcd.txt
new file mode 100644
index 00000000..ea19336b
--- /dev/null
+++ b/test/recipes/10-test_bn_data/bngcd.txt
@@ -0,0 +1,17179 @@
+# Copyright 2019 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the Apache License 2.0 (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+
+# GCD tests.
+#
+# These test vectors satisfy gcd(A, B) = GCD.
+# They were generated with sage, independent of OpenSSL.
+
+A = 0
+B = 0
+GCD = 0
+
+# gcd(1,0) = 1
+A = 1
+B = 0
+GCD = 1
+
+# gcd(1,1) = 1
+A = 1
+B = 1
+GCD = 1
+
+# gcd(0,a) = a
+A = 0
+B = 70030ffeeea3deaea19387f4f1d0f460a6954a2a9cb98290602ac09036143ef8eb9692f3eac22961811083e073ee0be1506c24d7b0d4eb0089406758828f7c99dc01692846f88aafb58b2d56a6dd1157b781eeaf807d59496aac6ca754f8830b743ea938ce16cbe03c8fd8675c78ba2420d502f2227a9bbe3979865cd154cbb2
+GCD = 70030ffeeea3deaea19387f4f1d0f460a6954a2a9cb98290602ac09036143ef8eb9692f3eac22961811083e073ee0be1506c24d7b0d4eb0089406758828f7c99dc01692846f88aafb58b2d56a6dd1157b781eeaf807d59496aac6ca754f8830b743ea938ce16cbe03c8fd8675c78ba2420d502f2227a9bbe3979865cd154cbb2
+
+# gcd(-a,0) = |a|
+A = -231f16458c487346cf50a17beec83632f25d19abeea1097c746533cd3e35207b7efd75dc3e9c663a64b6861e88579dad08649f107a13edf2ad43d0056f9240ad2a08c4aba20f05cc4aad23eb47e77cc8031df5b1c735b55103e164ca6c07bd040e12616df28064e5895a8903a26dfde7e88229a8d29fc4cb77711bf81bd04db9
+B = 0
+GCD = 231f16458c487346cf50a17beec83632f25d19abeea1097c746533cd3e35207b7efd75dc3e9c663a64b6861e88579dad08649f107a13edf2ad43d0056f9240ad2a08c4aba20f05cc4aad23eb47e77cc8031df5b1c735b55103e164ca6c07bd040e12616df28064e5895a8903a26dfde7e88229a8d29fc4cb77711bf81bd04db9
+
+# for even i, test:
+# gcd(2**i - 1, 2**(i/2) - 1) = 2**(i/2) - 1
+# gcd(2**i - 1, 2**(i/2) + 1) = 2**(i/2) + 1
+A = f
+B = 3
+GCD = 3
+
+A = f
+B = 5
+GCD = 5
+
+A = 3f
+B = 7
+GCD = 7
+
+A = 3f
+B = 9
+GCD = 9
+
+A = ff
+B = f
+GCD = f
+
+A = ff
+B = 11
+GCD = 11
+
+A = 3ff
+B = 1f
+GCD = 1f
+
+A = 3ff
+B = 21
+GCD = 21
+
+A = fff
+B = 3f
+GCD = 3f
+
+A = fff
+B = 41
+GCD = 41
+
+A = 3fff
+B = 7f
+GCD = 7f
+
+A = 3fff
+B = 81
+GCD = 81
+
+A = ffff
+B = ff
+GCD = ff
+
+A = ffff
+B = 101
+GCD = 101
+
+A = 3ffff
+B = 1ff
+GCD = 1ff
+
+A = 3ffff
+B = 201
+GCD = 201
+
+A = fffff
+B = 3ff
+GCD = 3ff
+
+A = fffff
+B = 401
+GCD = 401
+
+A = 3fffff
+B = 7ff
+GCD = 7ff
+
+A = 3fffff
+B = 801
+GCD = 801
+
+A = ffffff
+B = fff
+GCD = fff
+
+A = ffffff
+B = 1001
+GCD = 1001
+
+A = 3ffffff
+B = 1fff
+GCD = 1fff
+
+A = 3ffffff
+B = 2001
+GCD = 2001
+
+A = fffffff
+B = 3fff
+GCD = 3fff
+
+A = fffffff
+B = 4001
+GCD = 4001
+
+A = 3fffffff
+B = 7fff
+GCD = 7fff
+
+A = 3fffffff
+B = 8001
+GCD = 8001
+
+A = ffffffff
+B = ffff
+GCD = ffff
+
+A = ffffffff
+B = 10001
+GCD = 10001
+
+A = 3ffffffff
+B = 1ffff
+GCD = 1ffff
+
+A = 3ffffffff
+B = 20001
+GCD = 20001
+
+A = fffffffff
+B = 3ffff
+GCD = 3ffff
+
+A = fffffffff
+B = 40001
+GCD = 40001
+
+A = 3fffffffff
+B = 7ffff
+GCD = 7ffff
+
+A = 3fffffffff
+B = 80001
+GCD = 80001
+
+A = ffffffffff
+B = fffff
+GCD = fffff
+
+A = ffffffffff
+B = 100001
+GCD = 100001
+
+A = 3ffffffffff
+B = 1fffff
+GCD = 1fffff
+
+A = 3ffffffffff
+B = 200001
+GCD = 200001
+
+A = fffffffffff
+B = 3fffff
+GCD = 3fffff
+
+A = fffffffffff
+B = 400001
+GCD = 400001
+
+A = 3fffffffffff
+B = 7fffff
+GCD = 7fffff
+
+A = 3fffffffffff
+B = 800001
+GCD = 800001
+
+A = ffffffffffff
+B = ffffff
+GCD = ffffff
+
+A = ffffffffffff
+B = 1000001
+GCD = 1000001
+
+A = 3ffffffffffff
+B = 1ffffff
+GCD = 1ffffff
+
+A = 3ffffffffffff
+B = 2000001
+GCD = 2000001
+
+A = fffffffffffff
+B = 3ffffff
+GCD = 3ffffff
+
+A = fffffffffffff
+B = 4000001
+GCD = 4000001
+
+A = 3fffffffffffff
+B = 7ffffff
+GCD = 7ffffff
+
+A = 3fffffffffffff
+B = 8000001
+GCD = 8000001
+
+A = ffffffffffffff
+B = fffffff
+GCD = fffffff
+
+A = ffffffffffffff
+B = 10000001
+GCD = 10000001
+
+A = 3ffffffffffffff
+B = 1fffffff
+GCD = 1fffffff
+
+A = 3ffffffffffffff
+B = 20000001
+GCD = 20000001
+
+A = fffffffffffffff
+B = 3fffffff
+GCD = 3fffffff
+
+A = fffffffffffffff
+B = 40000001
+GCD = 40000001
+
+A = 3fffffffffffffff
+B = 7fffffff
+GCD = 7fffffff
+
+A = 3fffffffffffffff
+B = 80000001
+GCD = 80000001
+
+A = ffffffffffffffff
+B = ffffffff
+GCD = ffffffff
+
+A = ffffffffffffffff
+B = 100000001
+GCD = 100000001
+
+A = 3ffffffffffffffff
+B = 1ffffffff
+GCD = 1ffffffff
+
+A = 3ffffffffffffffff
+B = 200000001
+GCD = 200000001
+
+A = fffffffffffffffff
+B = 3ffffffff
+GCD = 3ffffffff
+
+A = fffffffffffffffff
+B = 400000001
+GCD = 400000001
+
+A = 3fffffffffffffffff
+B = 7ffffffff
+GCD = 7ffffffff
+
+A = 3fffffffffffffffff
+B = 800000001
+GCD = 800000001
+
+A = ffffffffffffffffff
+B = fffffffff
+GCD = fffffffff
+
+A = ffffffffffffffffff
+B = 1000000001
+GCD = 1000000001
+
+A = 3ffffffffffffffffff
+B = 1fffffffff
+GCD = 1fffffffff
+
+A = 3ffffffffffffffffff
+B = 2000000001
+GCD = 2000000001
+
+A = fffffffffffffffffff
+B = 3fffffffff
+GCD = 3fffffffff
+
+A = fffffffffffffffffff
+B = 4000000001
+GCD = 4000000001
+
+A = 3fffffffffffffffffff
+B = 7fffffffff
+GCD = 7fffffffff
+
+A = 3fffffffffffffffffff
+B = 8000000001
+GCD = 8000000001
+
+A = ffffffffffffffffffff
+B = ffffffffff
+GCD = ffffffffff
+
+A = ffffffffffffffffffff
+B = 10000000001
+GCD = 10000000001
+
+A = 3ffffffffffffffffffff
+B = 1ffffffffff
+GCD = 1ffffffffff
+
+A = 3ffffffffffffffffffff
+B = 20000000001
+GCD = 20000000001
+
+A = fffffffffffffffffffff
+B = 3ffffffffff
+GCD = 3ffffffffff
+
+A = fffffffffffffffffffff
+B = 40000000001
+GCD = 40000000001
+
+A = 3fffffffffffffffffffff
+B = 7ffffffffff
+GCD = 7ffffffffff
+
+A = 3fffffffffffffffffffff
+B = 80000000001
+GCD = 80000000001
+
+A = ffffffffffffffffffffff
+B = fffffffffff
+GCD = fffffffffff
+
+A = ffffffffffffffffffffff
+B = 100000000001
+GCD = 100000000001
+
+A = 3ffffffffffffffffffffff
+B = 1fffffffffff
+GCD = 1fffffffffff
+
+A = 3ffffffffffffffffffffff
+B = 200000000001
+GCD = 200000000001
+
+A = fffffffffffffffffffffff
+B = 3fffffffffff
+GCD = 3fffffffffff
+
+A = fffffffffffffffffffffff
+B = 400000000001
+GCD = 400000000001
+
+A = 3fffffffffffffffffffffff
+B = 7fffffffffff
+GCD = 7fffffffffff
+
+A = 3fffffffffffffffffffffff
+B = 800000000001
+GCD = 800000000001
+
+A = ffffffffffffffffffffffff
+B = ffffffffffff
+GCD = ffffffffffff
+
+A = ffffffffffffffffffffffff
+B = 1000000000001
+GCD = 1000000000001
+
+A = 3ffffffffffffffffffffffff
+B = 1ffffffffffff
+GCD = 1ffffffffffff
+
+A = 3ffffffffffffffffffffffff
+B = 2000000000001
+GCD = 2000000000001
+
+A = fffffffffffffffffffffffff
+B = 3ffffffffffff
+GCD = 3ffffffffffff
+
+A = fffffffffffffffffffffffff
+B = 4000000000001
+GCD = 4000000000001
+
+A = 3fffffffffffffffffffffffff
+B = 7ffffffffffff
+GCD = 7ffffffffffff
+
+A = 3fffffffffffffffffffffffff
+B = 8000000000001
+GCD = 8000000000001
+
+A = ffffffffffffffffffffffffff
+B = fffffffffffff
+GCD = fffffffffffff
+
+A = ffffffffffffffffffffffffff
+B = 10000000000001
+GCD = 10000000000001
+
+A = 3ffffffffffffffffffffffffff
+B = 1fffffffffffff
+GCD = 1fffffffffffff
+
+A = 3ffffffffffffffffffffffffff
+B = 20000000000001
+GCD = 20000000000001
+
+A = fffffffffffffffffffffffffff
+B = 3fffffffffffff
+GCD = 3fffffffffffff
+
+A = fffffffffffffffffffffffffff
+B = 40000000000001
+GCD = 40000000000001
+
+A = 3fffffffffffffffffffffffffff
+B = 7fffffffffffff
+GCD = 7fffffffffffff
+
+A = 3fffffffffffffffffffffffffff
+B = 80000000000001
+GCD = 80000000000001
+
+A = ffffffffffffffffffffffffffff
+B = ffffffffffffff
+GCD = ffffffffffffff
+
+A = ffffffffffffffffffffffffffff
+B = 100000000000001
+GCD = 100000000000001
+
+A = 3ffffffffffffffffffffffffffff
+B = 1ffffffffffffff
+GCD = 1ffffffffffffff
+
+A = 3ffffffffffffffffffffffffffff
+B = 200000000000001
+GCD = 200000000000001
+
+A = fffffffffffffffffffffffffffff
+B = 3ffffffffffffff
+GCD = 3ffffffffffffff
+
+A = fffffffffffffffffffffffffffff
+B = 400000000000001
+GCD = 400000000000001
+
+A = 3fffffffffffffffffffffffffffff
+B = 7ffffffffffffff
+GCD = 7ffffffffffffff
+
+A = 3fffffffffffffffffffffffffffff
+B = 800000000000001
+GCD = 800000000000001
+
+A = ffffffffffffffffffffffffffffff
+B = fffffffffffffff
+GCD = fffffffffffffff
+
+A = ffffffffffffffffffffffffffffff
+B = 1000000000000001
+GCD = 1000000000000001
+
+A = 3ffffffffffffffffffffffffffffff
+B = 1fffffffffffffff
+GCD = 1fffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffff
+B = 2000000000000001
+GCD = 2000000000000001
+
+A = fffffffffffffffffffffffffffffff
+B = 3fffffffffffffff
+GCD = 3fffffffffffffff
+
+A = fffffffffffffffffffffffffffffff
+B = 4000000000000001
+GCD = 4000000000000001
+
+A = 3fffffffffffffffffffffffffffffff
+B = 7fffffffffffffff
+GCD = 7fffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffff
+B = 8000000000000001
+GCD = 8000000000000001
+
+A = ffffffffffffffffffffffffffffffff
+B = ffffffffffffffff
+GCD = ffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffff
+B = 10000000000000001
+GCD = 10000000000000001
+
+A = 3ffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffff
+GCD = 1ffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffff
+B = 20000000000000001
+GCD = 20000000000000001
+
+A = fffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffff
+GCD = 3ffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffff
+B = 40000000000000001
+GCD = 40000000000000001
+
+A = 3fffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffff
+GCD = 7ffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffff
+B = 80000000000000001
+GCD = 80000000000000001
+
+A = ffffffffffffffffffffffffffffffffff
+B = fffffffffffffffff
+GCD = fffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffff
+B = 100000000000000001
+GCD = 100000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffff
+GCD = 1fffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffff
+B = 200000000000000001
+GCD = 200000000000000001
+
+A = fffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffff
+GCD = 3fffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffff
+B = 400000000000000001
+GCD = 400000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffff
+GCD = 7fffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffff
+B = 800000000000000001
+GCD = 800000000000000001
+
+A = ffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffff
+GCD = ffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffff
+B = 1000000000000000001
+GCD = 1000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffff
+GCD = 1ffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffff
+B = 2000000000000000001
+GCD = 2000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffff
+GCD = 3ffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffff
+B = 4000000000000000001
+GCD = 4000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffff
+GCD = 7ffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffff
+B = 8000000000000000001
+GCD = 8000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffff
+GCD = fffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffff
+B = 10000000000000000001
+GCD = 10000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffff
+GCD = 1fffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffff
+B = 20000000000000000001
+GCD = 20000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffff
+GCD = 3fffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffff
+B = 40000000000000000001
+GCD = 40000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffff
+GCD = 7fffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffff
+B = 80000000000000000001
+GCD = 80000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffff
+GCD = ffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffff
+B = 100000000000000000001
+GCD = 100000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffff
+GCD = 1ffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffff
+B = 200000000000000000001
+GCD = 200000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffff
+GCD = 3ffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffff
+B = 400000000000000000001
+GCD = 400000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffff
+GCD = 7ffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffff
+B = 800000000000000000001
+GCD = 800000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffff
+GCD = fffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffff
+B = 1000000000000000000001
+GCD = 1000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffff
+GCD = 1fffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffff
+B = 2000000000000000000001
+GCD = 2000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffffff
+GCD = 3fffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffff
+B = 4000000000000000000001
+GCD = 4000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffffff
+GCD = 7fffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffff
+B = 8000000000000000000001
+GCD = 8000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffffff
+GCD = ffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffff
+B = 10000000000000000000001
+GCD = 10000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffffff
+GCD = 1ffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffff
+B = 20000000000000000000001
+GCD = 20000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffffff
+GCD = 3ffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffff
+B = 40000000000000000000001
+GCD = 40000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffffff
+GCD = 7ffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffff
+B = 80000000000000000000001
+GCD = 80000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffffff
+GCD = fffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffff
+B = 100000000000000000000001
+GCD = 100000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffffff
+GCD = 1fffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffff
+B = 200000000000000000000001
+GCD = 200000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffffffff
+GCD = 3fffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffff
+B = 400000000000000000000001
+GCD = 400000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffffffff
+GCD = 7fffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffff
+B = 800000000000000000000001
+GCD = 800000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffffffff
+GCD = ffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1000000000000000000000001
+GCD = 1000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffffffff
+GCD = 1ffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffff
+B = 2000000000000000000000001
+GCD = 2000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffffffff
+GCD = 3ffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffff
+B = 4000000000000000000000001
+GCD = 4000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffffffff
+GCD = 7ffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffff
+B = 8000000000000000000000001
+GCD = 8000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffffffff
+GCD = fffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 10000000000000000000000001
+GCD = 10000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffffffff
+GCD = 1fffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 20000000000000000000000001
+GCD = 20000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffffffffff
+GCD = 3fffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 40000000000000000000000001
+GCD = 40000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffffffffff
+GCD = 7fffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 80000000000000000000000001
+GCD = 80000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffffffffff
+GCD = ffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 100000000000000000000000001
+GCD = 100000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffffffffff
+GCD = 1ffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 200000000000000000000000001
+GCD = 200000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffffffffff
+GCD = 3ffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 400000000000000000000000001
+GCD = 400000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffffffffff
+GCD = 7ffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 800000000000000000000000001
+GCD = 800000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffffffffff
+GCD = fffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1000000000000000000000000001
+GCD = 1000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffffffffff
+GCD = 1fffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 2000000000000000000000000001
+GCD = 2000000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffffffffffff
+GCD = 3fffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 4000000000000000000000000001
+GCD = 4000000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffffffffffff
+GCD = 7fffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 8000000000000000000000000001
+GCD = 8000000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffffffffffff
+GCD = ffffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 10000000000000000000000000001
+GCD = 10000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffffffffffff
+GCD = 1ffffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 20000000000000000000000000001
+GCD = 20000000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffffffffffff
+GCD = 3ffffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 40000000000000000000000000001
+GCD = 40000000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffffffffffff
+GCD = 7ffffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 80000000000000000000000000001
+GCD = 80000000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffffffffffff
+GCD = fffffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 100000000000000000000000000001
+GCD = 100000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffffffffffff
+GCD = 1fffffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 200000000000000000000000000001
+GCD = 200000000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffffffffffffff
+GCD = 3fffffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 400000000000000000000000000001
+GCD = 400000000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffffffffffffff
+GCD = 7fffffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 800000000000000000000000000001
+GCD = 800000000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffffffffffffff
+GCD = ffffffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1000000000000000000000000000001
+GCD = 1000000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffffffffffffff
+GCD = 1ffffffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 2000000000000000000000000000001
+GCD = 2000000000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffffffffffffff
+GCD = 3ffffffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 4000000000000000000000000000001
+GCD = 4000000000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffffffffffffff
+GCD = 7ffffffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 8000000000000000000000000000001
+GCD = 8000000000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffffffffffffff
+GCD = fffffffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 10000000000000000000000000000001
+GCD = 10000000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffffffffffffff
+GCD = 1fffffffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 20000000000000000000000000000001
+GCD = 20000000000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3fffffffffffffffffffffffffffffff
+GCD = 3fffffffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 40000000000000000000000000000001
+GCD = 40000000000000000000000000000001
+
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+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = 7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = 1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = 7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = 3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+GCD = 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+
+A = 3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+B = 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+GCD = 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
+
+# random KATs
+A = -1
+B = -1
+GCD = 1
+
+A = -e9
+B = -122
+GCD = 1
+
+A = a991
+B = 9c91
+GCD = 1
+
+A = aee38e
+B = -ef35d4
+GCD = 12
+
+A = 11fac5874
+B = -13a37ad53
+GCD = 1
+
+A = -30ba5f2ee8
+B = -15935eabc59
+GCD = 1
+
+A = c85702ba3795
+B = -4646d650b41
+GCD = 1
+
+A = -1804fb46dd79d30
+B = -8d3ebf6a5c5c36
+GCD = 16
+
+A = e0d6ca65ea05ea62
+B = -93acbd36ca94622e
+GCD = 2
+
+A = 15ad06885f13cffb323
+B = 17f0004c657a8977d75
+GCD = 1
+
+A = e7ff96cec9c080a4ce76
+B = -18dc55650afa9072683fd
+GCD = 3
+
+A = 1f04b96580d11dca1a42066
+B = f39f140e2a29fc19c6368e
+GCD = 2
+
+A = 1839733c9c52eef9beb64d92e
+B = -70bb38f2d70b9bfb6d764371
+GCD = 1
+
+A = 157393bc256b25c0a1d107c270b
+B = 171a32af49c010663708c8e4dd6
+GCD = 1
+
+A = -15c0ac453e8b47c0a8da6a95c6d1c
+B = 1fcded9fb7ea85e696b675dedfe3c
+GCD = 4
+
+A = -4f4db668e2b044ee972eec62b06264
+B = -be55936205e72ebb3e0543b8d83628
+GCD = c
+
+A = a8de6c3578a1f2fb69adfdb7cd687eb4
+B = -1371dea9653f87dafa5512b89b2691b4c
+GCD = 4
+
+A = -188f12124f8209f97ae82183cdf31586244
+B = 21943e5fc78521801b7adc83d3ff634eca
+GCD = 2
+
+A = -1e420c37d2a409a1343bb17987d3e94af10e9
+B = d5cd4728f9272d5127dc104340ac89cf1eec
+GCD = 1
+
+A = -1e760bd24fda671fb720885de3256b4d55795f5
+B = -1c6711aff275b54c644371b1aeb6f463006f06
+GCD = 1
+
+A = 2894fbe326e1dc1a2822fd8d262f85fb667ba633
+B = 179f9449f643787ff96fc064da43cd5da2a72a35e
+GCD = 1
+
+A = eadf17a11a74869d40d124c748aa39961f53e83165
+B = 1b428b0c3b619f2001fe8290e8e3849c765b06d3a7c
+GCD = 1
+
+A = -1f8596327f7e3f97be2317163c6452b376bb604845ca1
+B = -1e0c736e66846f8d2b8c785c00db9a586fc5317d0e66d
+GCD = 1
+
+A = -1601684fb83ed9e1d8ffe6b0cfbd98d21a19aaf4da369d8
+B = -c1a63d561ff82329a03c2a49fea26d950a0f58fee95afd
+GCD = 1
+
+A = 1375f0dac727bcd1fe8d4b1d1dd563f236dcc58e1a36fbdfd
+B = a96ba42e882a321930399b7788e0fec9a8f76f44b5432a00
+GCD = 1
+
+A = -1f97ab20b489a029b542fcdd8cb0d057b86e4e34fa3cca7585e
+B = -9bc7742a043afce9a631bac56cd2e319850cc7f73efe3c0a5b
+GCD = 1
+
+A = -9a25f52b7931435209611f2ad2e234f4582bdc42712765a9318e
+B = -1284cf183b2ec1b4dfec71a6a91705f5df295c95b28aeccd247e
+GCD = 2
+
+A = -1809511b69429a5f991744ecd94091c0e56d7777b4a742ba9785f7a
+B = 17b9cb217832e39c4933fe0581369a767a08104d5bebea2895beb6e
+GCD = 2
+
+A = -72334f3e1d30b6bad9557d9f71d4da5de7d70309cb0a723c347e6e12
+B = -1930a381a580375b7de06f0fc9d201326852efa287ad8cf32c17e06bb
+GCD = 1
+
+A = 45d3a8d17d00d181ea1b116f235a98ce63291e9aaa90b41e1a24ad0156
+B = -1d7568b87de073113c8ac7bb800234cb263d67c00e7b4743b297d2e8aa8
+GCD = 2
+
+A = 80ccfa8098eae998bdb17dbea961082c8cd102e92973346238e0c92dda04
+B = dff995ba1133f96e2f35b73bd22626e804b012901ad068316fe84e3c3f6e
+GCD = 2
+
+A = 1dcb28bd5126103759315cf41afec22d1a687ec010b60bd9b316226ebb2a1ea
+B = 9103b9f322cc8ba52c7e28a2d4c56bb61c59c92caa033030a575b0c32aeccb
+GCD = 1
+
+A = 143cc2cc2998897aab5bfd934b96551cc1fd390df3a27d39b4e6b7318e7b2ef4d
+B = 13b18e4776bb567f0908a670ee611ad402ffcd38f3de3c04d7a8a55b783811817
+GCD = 1
+
+A = -14c3c0af075bc68f7b3736141718d8892df43034d13416d84801cc6a0f5e3755bc6
+B = -d28486b18e2da1e97f1437c701e1856a683f0649541de1379bd3efb60b959b4497
+GCD = 1
+
+A = 453270f4a4ece4f6f1715159ce1c79d903923afb61b270c2784752d6ce57b39e0a71
+B = 935c04ebd73f4ba27ee5d538d77ee1ac0a1763b4c06b0f455878ce685409e27f224a
+GCD = 1
+
+A = 1f641676b547c76f4f25bd7b51000be79b301843ad54936f4cf234e772807f6984b400f
+B = -90450f1b6cd63d8d267d610045739be18a9ec4bbf8f6023ae373cf32366b8e6e406f37
+GCD = 1
+
+A = -64b0f11ad58106c02ec6a75bab4c527f8e524d61af3a1a55d4917e0023fa5528259a85a8
+B = 4771313a91911c0bf608f053dce02c3a710b6af607b7af950a125e2726feeceb77881e1a
+GCD = 2
+
+A = 1fcedacaf7e1bf8127b4c3023a31c4ea77728aa5162117f7b49f5d79ec65f614b78839b585
+B = 1506a9f996301e4b442a553e957aee1064b13dbb3d1835e9404c40b66845f897e5b8471ec7b
+GCD = 1
+
+A = -1b8e8aaeb9f4fd373c91a6e16d95bcc3597acbf3ef96d9863c128fd804fd3914ef66119c47c83
+B = -e2e25f6ecde0bfd2f7d0baa4d4a4e44324897ee9ff8e4578fbc6fa26d60660e5618b7bf787f6
+GCD = 1
+
+A = -335c87c3429ff3c97fa7cd2ba7cee0be9eca938b5efcc176f6d997cf4daee639d72d3b468c76fe
+B = -1369edb1cd98b3ec3d5a5ff91213df595848938f50f7c72b5579c62b7577d43fe2d67da2d23570c
+GCD = 62
+
+A = 595e6ff3fe0be024d58d9906ec9655560fe6caf83b10ef5b057565d25cb84603d0ef1942f2de68e0
+B = -123a4ef2b10b3a5af116e04d520440f80a3d69288f15bfe567a9df5f392808de829fdb2a310a7c54
+GCD = 4
+
+A = 1b38edb12c4a5a1fd60fdef562b9c1afbbe4b3c9653353bb5d409959bebde80f70118cb5fe231ce2281
+B = d795459901e5632813ee9c41c62629546a30c9c3aa8547bc1dc1b3308b7f72290962c07d6737eca08e
+GCD = 1
+
+A = -155f92cc303ac4964be78e178d4d9c331981405cf8bfa5c4fd388790ae3ac97ba4ec4ce2fa09d521f4e61
+B = 1c037e98e141acc316573d409b6d3b2b80152b3c99d83ece7ee595fe5a819f21544e63f2691d4e83449b0
+GCD = 1
+
+A = 8ee6db77234a82b5ab5ffd56f3252dbd5c3b85fd6226c4889eab86021fa295e223cec5bfa2920fa222f2ec
+B = 1fdd2fdc9456c648e5c0f71eea76376cb5fc2df0cb807714746f7ad8ffd1d765463a6da88b84c5d755dc18d
+GCD = 1
+
+A = 1326ca90f69200645488c325424c5cabb3b0a399d763ab7c8db84a05738ef94ed69a38c47353fbbc6d87df2cf
+B = 184e654bfdb1ebe9edcb700337e16054f7532f09b28aa588c22ec3eae40f59fe5515bd0158e562b79c472b811
+GCD = 1
+
+A = -1b8282f1d39ade651917fb348de3b0fec54f9af03fc1b25bbbb791762bc3708d6d6d375d6ad55efd24a83d65e93
+B = 2e004f8cc320892c61972596ace48b4e969b439eeff1b4d518ee3e70c40bb1294750ec31acca190912ba43803
+GCD = 3
+
+A = d0005d09b37a3d076f7dd28df6b2ed7f8025b13fc8e5594f90ecb65c56938fc2a45d71d7b741f04e5b9a674c2cc1
+B = 17478ff17cdd349bc5d37f5dc52106542139d5d61bccdd0d5bc233ac8e9cf54ddee1ba7c86822fd175209cca97fab
+GCD = 1
+
+A = 16449bbff3f02e684558cb401cbb885c2bd3f340d1f04e25dbfb1bd4d3d2c754019109386f05727a9ab643f4f6d256e
+B = 2fab68d37b6b5d04c8bad87660ff3623dec88d1f12c0331a161d9294e3506f107939b3d4112b02098ae3858b35f638
+GCD = 2
+
+A = 4969b50d1cb296de0575d6c4aabc96a7af93feef5a9b1a45b5fe47466d884eeaacbead767ac085cfd0ebaaa300d17b2e
+B = -14cd23e34c8ecec92f5b03dc7b23374566ecd5981d368a8421c7f40e0b2c64bc710690feccd6be52028af985103e9260d
+GCD = 3
+
+A = -1e147a7d54c2e3175d29ddfb4da1fd04f3235bedfad0bf6dfb86bd36335e214d8c40fe968d42ad3ce6383e22b18dffd20ea
+B = e50a4e27df90f5f29fa0f4c33a7b3e0b194aee3d1dcb22c0cbd50640546c9248729904e9b7bb96f7e3e9c42edeadf2e7df
+GCD = 1
+
+A = -4fc9395d1de5a27737807b3324a95c542eb13f76fc9c02e5437e9502c1f8eb78a678c64d2fb66d529779299d4b19224a1324
+B = -1e0ee0eab241ab56a2548c98fc0cce9b4d301bccb5d8ca726cf3bc76b76f8e9d256c60361d2083947df784ffdbcd764e89273
+GCD = 1
+
+A = 8e13879d78637b80f874ff12889a7429703e9457a1ea592f623363b4886d55dad202064d308d1cba1d66cb3c4eeb7821174ceb
+B = -1829ff03ec9313562088b8c9c62cf2a102b81800192d55bdbe00d632e05c952773251f775902a7364e0c578adeea635240855d0
+GCD = 1
+
+A = 744c17672b4fb3cade089b2cbce0e508bd632b6d558c1d0cdf9744ab49596051884895f44f348840d1ded9aace7984d76cb76c2b
+B = db0fc616f3da7665f4475f992e665cf5e50df858dd74e7038dbc484839edaaa5c932d2e74bd48c5ad5cf329e37b7094e65da1a0
+GCD = 1
+
+A = -f7e708a624b8a7e892d9e4e3b6749a52244025c60d5cb91efa8bf3173a167af9adff2ff15cd15eb099346fabd51435e9d448aab243
+B = -187a5538713ed86be39629eee68dbf708f05f980b7c8ab8c083faf67fcdb19219b196a1f54d782c922e1c045646f7e65ed2e4c19013
+GCD = 1
+
+A = af952df8a3f4a23bba59f89a4a8d831018b439aa7ba275ac728a34383cc1cabbbbc29b85341e8c8fd7de4ee59ff4a5929a4a1f621841
+B = e89cbcd3fb82682cd2710940b1135ce5b3e96a9313dea51c97a39db8a6baddcef27c5158261802aa516abb45b3af67f65550284dcdf8
+GCD = 1
+
+A = 65e38d0c1b6ae3147288af950370215e9ab97a73f5620f4494bbe3727ab930889e1289f28a2f1f99592116dad19e4accfe14922ba67467
+B = 430b97e4d97b1897a823d716b8ee087cb4d591b5ca15121450d55d988fe65d53e13451a5ba010e8ef382b28ecbbe7ecabb34de61fa008
+GCD = 1
+
+A = a84023af42f1d1f81abec3f39fd7a85319d25a6a14bb3b5b48f699cab506c5aa701754bd68aec40214eb7bded5bc3d502d4cfd970d17ed02
+B = 1997f443a82913a6ff5f0f50739a1b5fffe3fa4ae68b46e28f4e9e124f80efc75c345182cd93c86e79fa57f78a902fccd7d6c6c2646c98644
+GCD = 12
+
+A = 144f099dcc5d0cc0307d510cfaf2b2d4d5cc89e85afe269690ab1094fe5734b1e1a9018583ffa7cdc172b02740002669bafa6fb172a35e7ca26
+B = 18d743f978c4ede6b840d5cf194584fb5d20957bae0f74e877f364a464f0f39729b81e48dbfcf4e1c954d9f7cad60a663947b2f1792f1870cb3
+GCD = 1
+
+A = e6b25ce1ce3b44ac6362793a743d43f2fd7a6c584bf9522c65cd2768446cdb5a980cbca31d2cc90ca354aa21dae34ea13407f3519c07ebde3106
+B = 16f4475cea77b5debeb310d35a9b057e6bfc4bc7edbb4691bd97a8124e9b07605420d358c98435f7ab522559d7ebc271fa72f1c46c2b1a7cba71e
+GCD = a
+
+A = -146a72ffff0699d3e6b78cc3a2953b679f4ef60a191b71c55c2534cb2df65d7ee880b095e9233fa763c7ebe136580153676c45b10471f8765b9facf
+B = 1d39f16825125ef77d02c662b4743c387941021b7fe13a19cc1caa57275e885d0bfdb92c00ae447c707c62c99d9dcfae1f8e38576829be6ddf02c48
+GCD = 1
+
+A = -18cfca9d12d66050fe7487725037b144328c17d0970d1a357e3b6309b4011ae23b496cce3f5e01bdc40dff57379e7ab5479e2f8c4da8acf6905551aa1
+B = 7a33f9b10a683ae6577fbd665dc695679cc9f13d5b55c6340ef4ba8682091f39e5b32fb0d7b49e92cb6344b379f71f022fa6d0d14cf043af352ab3eb
+GCD = 1
+
+A = 1308073b625424e7256155e552c7360479c8daf15dbf28b58ce1a32e71f23391724ca434dcfb8d943f6b1c2605283120b681dcb6fa7e32acacbbb096116
+B = 1368952d59b7beab2529615ed13a82114238d6970ab01f647ad74db8775517832c78b561179ccd9b7d942a0e95ee60b73a2b2da65d15a65d4780251e5ed
+GCD = 1
+
+A = 19e0429f04f48ddbde5c799eb68fc42f16c87e7ad846ec23ca067f6a2646d2439c56fcac63f945ea4e46735ca8aa9861f0f2ae60bf15d0d2b763d4bea4cb8
+B = e92ac7c91d3df4339a4ecf2e7eb7bba54ccf5713550f7be0ce1e88dffc9b9b1f798c96dc8df474d0bd2398620db3fedd6781c803dc58e37aeacbc37f2b11
+GCD = 3
+
+A = -d0574568670990b9006ef9d88fa6a2910b3d4368ba9f9ae1156df24a08f2785a9b95413c8ffea0ca3fc6d2819753f7504af98908299c423a538638adebca38
+B = 1a47702f41a8d8b06beed8c1274249ba4d1894f23d643e334a7cbb467c564c34487abe3d4e10a5ea413d86bf69b3d3d39bd8f41124fb2e2c75ab232b2dbeb9d
+GCD = 5
+
+A = 17472527c16c791804743e11eac47f9cde83d38afaaf015cab6b1977730d817f080e4ab864852a1bebef756c3280f010ce83bb247b9ea9854eb6c273c4495bf66
+B = ce282ec890884d87c803432eca66ae10b1381d77afde9394757e40dea8ead57a84ffa155c50d6da8742422f0ee42e056b6b9a698916dcbfd8a8c62b536792aa5
+GCD = 1
+
+A = -10bae6fe741604054f4801ccf4d310c10a24bad458d2bb9e536ac071b994326ce4dded82c19c73a82c75488ead4b4ca21abcec77fb208c90ee461bf27085a57ae45
+B = 1a5b9c18e755870012147afe400f974c1ac17ac5921171d3d9a4c310a5c0d433e2afd1a2077106220a0b7324ed169c4371a23f8f7334969a6108c888819c897efad
+GCD = 1
+
+A = -1b881dda84158e8b75ae4caefa5b58182acbaf10b121d5b987a4e9cbddcab844ad579b33f840859f03e4e9d9d45715df06a4a84f72c3b14b0cd7919955da3b5d9e4d2
+B = 17b67dd4fbc0f03dba4c5ce29b57d3ccd3b591fe72c6b9419f0cd4e2aa0a752e009f596bfa5eea0ed564543e5b1f2f8554823248f3163fb142bcf4df93bcecdc03ef9
+GCD = 13
+
+A = 68692ec39565ec8b666eb15e4aa878ebe4ab71302b9a88f412d759767504f93d420827dd20d5b9a61d3f0f6b34fb2b7d9290a31b66866695d7ba9a2e841122a25f6e40
+B = 1bdd40ee550fc1521309d51528fd00d1b44b79a3f592e576b44a72ce835016d140aaf690cd7d0cae330d81e5cadd8ce4c42ba04e9e1dad875fd8ca7cb86bc339a3bbf5d
+GCD = 5
+
+A = -b789b091157cf3ebf83eccc253948c80fc5eb6115b91c6b748222aefcac64f253f15254968220d1b2920c601d6b958c048fbf5785f36a0019ec3d914cfdc1bf602ae958
+B = 63e7831ece851cf35b876ed6306cbccf0eecfbcb0061cfafd7299b49b92e7ab6575691a469b971358317debc3aeeb94b0473266ff71e4f04c85d940699de6106ab9788e0
+GCD = 8
+
+A = 14a723c68069b43cad6a293259204444b8003896d1773d0c231178e301d9441a82c088657e4015d09f24da93f3d875ede31f40f2c3e499ee8b3d17b1987c6925a1ab01389d7
+B = fd3e117df477741462b13253420e116370277ac2057ebaf74159ad2e661d833686d7dd0bf12f1932de367b4daef6995db0ac7dcae12f3a1aa5cdd5fc7233fad25ccd0b7f35
+GCD = 1
+
+A = f00a97e17eace2dfbdf29081a798cb9df9d47fad119921b4d17469adcb2f65bc5ae8003b1734ac9f2e66310b3191c99e2ea20f51ac8944ea4c3a4c03f47170a7d34672cac622
+B = 5dd290b928e8acb0423f56526f4064d68165518b250cc77b71f0b10c9e9d78953a4936f8dfef579ebdd69e94985dbacc50d89a74b032cbbf8570154f5e7961c530ae924a61f3
+GCD = 3
+
+A = -2c19e437e1dd0eaa6ef2810e7940e1dfc00b93a94b0698d8403824cc96c38b7709ce158b113df830321e1cf7bc01d5417244d1a00801b983794e523f8e9478bb142f1740ec35f8
+B = e46307358b999c6a166c82f5f7883fa2499833e12f4a9bfa5bd095684751fbf8eed10c7cff6b01d47da3caa8be0123005f9d5fd418071369f6a3ed1d6f79c9176ba33c137f1a7f
+GCD = 5
+
+A = -1ba5e202200eb9e7323b325ba3edbfd42682d4436e4ac17de47a07a2e974c37edf68d5cb6eefc11560a5feb1e462dfbb3506efe6166b5527c5ace949bd34ecaeb4059d5ddf6a2acc4
+B = 1f180b6334ee7a453779a360ad011ac34f00eca053d94aced8ec69c2f868655578717917ce46f903b498b8a74e4fd9540b8c83e7668d9c2d5331a1a8b4a8be7fc1eaa878a7a8d0e7c
+GCD = 4
+
+A = -1c336e766b6012c270dd2c39cb01ca144ea30c905997e1db3e8ac10484f6f47dd124671d62f0dd3e7e301195f7f44661af47b3c30bc40c3fbcfb10ca43d64b4fbfc00dcc9689c955945
+B = 119fcbaa4b1d7f4a044dee464425c148c0a56dc0efc6e9a7c9d698c974535497000e6e900ad1cac61fe0c05edc705bc13d053a5f4e09ab733b1f7ce291f835c9a1c63ca4ba942a53c98
+GCD = 1
+
+A = 1d98bf3a71b81114b19923c433f6ee23ef76f0e00bae5f93541040646103430e28fbf778a537a3e310348126049d8847df6110889d623df5e10b5377cc2491e9ba7cac3e16d7dca7bca4e
+B = -2f3a8298c2d14f45cc22d7f61860b13e4ef909569d1c060f229702fbc45a92a3332ef699fa45f07bc7fae4213920be0731fae62918b05031764749dbbe98614b2d47f9b3476b6029b737
+GCD = 7
+
+A = 188940390dea60de153bcbcb03aa4d3757e9226da394f2d27224f68b067986cdfdc0ea0ea05941f9a38db68fdd26bfa40a4ca69f3fb55ad3ef7a54f41c43547457f59f3a5efc056346d5057
+B = -1c3b8fc51bace9ec1cc95ed06a72b66101e246387c6c67c8b24f60b366e1351ded4ac2e6bb9ac787ff511f9b5c4316001d4b6d8c0cac831ad1c7bf9b53e504bfa12366ee06536f5b14f4ee
+GCD = 1
+
+A = 17b87983b5c88cc7c1b349fc1a93cc7142333363db67a21bbfc4f9bfc963045c47651039c069d5908787c6944820a8081d7224c3d3ca59c04a311e458452897a9e41f137834c21c5eb7f75378
+B = -15a7a339a4a0cd99540f3387ecef5796c8138c715017477b870718bfc2d84b54947b282e4aae25b8bda01b62598bb43e6fd7d0390a7ccc53c22d4dd0d1e6277e351a93fb09e1a3dadbe2c0072
+GCD = 2
+
+A = -1ff3728d4381168a8939ca71b3274288fdf6c3f7fe7e648eb353888463bd456f7a4af2a78b3069bdfa6dd05f9bc795bba29bf879d8ecffa7c60ecb300f465368dc261ac337a2aa516e634f7ef7
+B = -3566c80416f729f4630fa19d45552f1388a42e34bc4f085b3a228b4a1d21e8d64b7f8002efd9c462860f1792448c7df3b6fb6387c5a9f81a3853ae0b4df4bcee54ee093bc904c4c8cb905a993b
+GCD = 1
+
+A = -f86ceadcc60272df13bd98d6ac375821dfaf9ad8f663f65aeabae09d11cccaf87d69ef9f39da40c649ec38bf158578d72e8013868bea2a1a34635184237af7b8cd18af3735ecffff67a066566f79
+B = d8ae668e6ec63b22fca2d0dc48579cc6d64bd321f618a367d87ff161b7a17f00d2795bab9ae68a1c93b9ed750133254ab12724a5c6c315f6ad6701456c33b2e0fa337d8dbc93cb4a18e4014afb2f
+GCD = 1
+
+A = 1e61a136590b6e980e54135800b52a0823beac18d98205aa1438b1aa3b755f13e3c8aa921ba47319040176a3d8951a842978b0bd8f4d80da92d1551f4feaf71164196dbd9ad0f81c155cdf9402e84a9
+B = -c6e5ba1cb842d572cf5875e3f6565208d2091e491447dd4a090dc0de80c00b29567bcb831b83bf610ad2b5cf1f2ab9aed47836b036711b43c5d0ebbc48d876a61e02be1dec4e89e677dd808388f674
+GCD = 1
+
+A = -1f2c93caccde7852e99e65d0b73fd82318041bd225aeeb6f80b21c90d055eaa0607f042dbd9b66960e0ccbeeca32a23a8fd19518f5146e7aa6dd02a0946a3eeecd5f5f000ee9ead8874503624fe965d83
+B = b0aa22dfb0cd46d1462aa02933c65ab242d274fd7271a555762205f1c791821b5aabe781d3ebf932eb8f264d8604e9c14cb4f3b71527593a0658e4a00ea1b7688634677e5effb0b112a7426332dcd2ee
+GCD = 1
+
+A = -1ece1a5ea104db93ce3159622fb40a5c37ae8e427641f7a972892d564aa3332739a60f4ab34e757d460bc5850e766c86d70c77c05d8b8d454dd66fa1e691406bad49a8046b01970848fae8ecd8e343d2f60
+B = 934ccda0b23ccba867a230fa187447289f784f98faffe952f686f40da20a319ccf8f134c111a93ecb31f8c2dbbb644420a50d3c472ed37c7393197a65cfce72a938f317360bca5a930dd2ff196522dcf4b
+GCD = 1
+
+A = 1f8446db527a96e2244e1956d36c00c5c90823512575b79b39971de168f1a6096b4cf705f441b6c419d696c41db8b67f87847fa8333cb9bdcce9958b241328c9437125c2bd983324ef8bed0e7ca202c203cbf
+B = 16f9bd5fbf45d95934429f912b2eea8b346633cf09127be615232e999ec111e73848578b412c42098917d334c9897116c3bf4607b4c8110bfb01a14e8f928ea29d4065101885177676b84438039d6cef0e164
+GCD = 1
+
+A = 1de739d426f8065659d826324e172186a72d89269fb3a1699d62e3d7a2cb096cc89a23de0b762e8d04ff04308ed0317b11b792cfc4030547c1b2c28dcb0b71feefd1519af3d33b199ad6d2d88047047af179801
+B = -139d796fb7325f9633c2069b568a211d6b2843e11646d2ed3689bc44e03e2f30f604f51b5352edaf85032215f5d00188c31fab2aea7edd0b62dbea241ff91e436a075ebfc38fc2887ee0d116137ba586b2d66b1
+GCD = 1
+
+A = 17e6e6d3eefab6ae7c054226765e57940a06ccd9759594a50d322804c1f04ee2db2cc726afe26a5880eae2d3de02b9c3fa18129861b4dfe83a7f945f80843f35cf44b77b72bccb62621cc76ab4e1145671cf4e1fb
+B = -16f61bdeab1cd4fb7c477eadd4a0f14c23bdf8d1f97c297c0576e1e6b9f554bee42dc68535d8d5d4166b906adea41ede1e562d08064beb6e8d01cb48b81eb02880237c4bd78153fadb293747370d284f319a3fede
+GCD = 1
+
+A = 9720f247b2290a3ddf543340c6ac23654cf075fe957c131af99a28844bc5c5c2b9f3cfe1d8d68dbecdfa7086b889a493ddb409e0b363793753a5ff624cdb4f93e89cc39e7f71128469218907e853b026b03128260c
+B = -beab5b719dcedd902a7fee587de6dfac9aa291d8548c350e628b824e08d20ebf45bbf502cc3c5c6f17143ad8be1577578863b7fc648225bb59f03ac32819a381952e2fa90ca3d6b154cc82b80858b7fd12bc972c0f
+GCD = 1
+
+A = -1f47a70253ece49019932a4bc36fa2e249343bad2a1b93b0f1343ff5887bc261465ff81ddc1223c4692d0a58ef0e5561221ec2d9ee6436194d5a90659af8e58cd411bfc47b1b1584ce8032f3939b4fb16c87516c620f6
+B = 1dd2bb04a9d252dd81d985556a285e2a16132f95a17392388f52bb2e5b2793d476db06426479a1d330141198d00457728e96d2a676ab0d186ed44990c548559c1576a2eea8db4688818777b898ecd8b8eb0c035f8108d
+GCD = 1
+
+A = 131ca0dbb4eccd76f3985b15fd623877feafd86f2b1c5c6f6c5d65a4fafbe25c168e633a81a9687f8625767927036b57ef7aa1830169dfe4661e534c72c5863b26ef4c7331d36ff98cd3d31c65f60a123dd7750bd120bbe
+B = 143a3bc7729aa158fdabfb8fcd7e420f5e0a506e09455645f2fcbf3caa29b023536df12667d569382c1c3aef94f332423a8ba46b8976bda06d077e9a4355ee41d70a7f8d1e9f10f41b724435e11ed2f32c640afd96e20a5
+GCD = 1
+
+A = 1b9e7f32245d67206cfc158b05701523cab7178eeb22ab828e65ee6b8cdab4ec70dc3c132fe71942e3e8443f813de8de7bfde4bd3c19c1d0cd9b8cb288a56a7c59229cdfe6142724a5c4915b6e45e07439fe4aa5c1ab75074
+B = -8b264b200be85f0df34c774a95330d8b4c3e4cc6272bcef2e4fb5534abc99f07588258781676b1a9894b37928ae0feca903ba3336ab532930f2b5f0982c0288faa02d6cc613711d0aa302d7ec7d8652789cb597d3a137ac0
+GCD = 4
+
+A = 7ffda115ed00ec00cbdd3db181fb544168fe8d7b3738c4bbe6d43940d806ab5b6000abba31874954cb0156d969ba61f8cc1ea1eb339ac787c285e1800728c71fd6d762a8724691419808379a5946b15ac5e3a50761a1a610b7
+B = d86a6c78030f585e02890588388cbc033f1aa01b7c6bd777ddf13d4f39b7c6417c480d9b5b6c05bc7c1e5881a7fbde0af614099f4ea77205ac335de0a931f9e172d626d86cd2592662a7347220fb70027d00aa3739eb2d4033
+GCD = 1
+
+A = -195b1e890246f1474a735bc881350367dc24dd5029ccc32130add6cb9c0cbee5984c95c5a0ee9dd3bfac814424e24322b62ea995f6bdb82b1558f0052edb830af5a6bc57e5887d671cb6d29ff71157378f6dbc5d1543aba4e8560
+B = 240d197ebdd352432661a8b299dea9987747d46daee9e83fa04e7aa5caa54c37430fb4dc7e011ee0d85273910e517089898029c328a676b95eaead4284628ff34690adbbf4f180f4c51ea9365de02fe759ee91c2110200d1e261
+GCD = 1
+
+A = 1f450515a64fe303b37e2b5e29526e427eb940a31ceec2e9025e668794aebd10e355c9a3df9f0126bc4003e5acefc321811e910c9e3420dca3483914d4868f80ac2ca6c069cf1cd7afefa10de51e19a46622ca936883ada39a3cee3
+B = -7fb7ce1bbd8bed6c8197dd7f3f87c0db2c2bb660f4d044fc5ec425a2dbc7a32e1b882cbd735439359499e21124aa1cdb833bc9ad2583a37f961aaec7b811a9d41e0f3716f76bd5aa82223290ed5ea6b296dea976768d81c0165964
+GCD = 1
+
+A = -1d4c92758a0442547ebda5989a829f649e7d9b07e35d468d3701ba9bd72185d44bc32af11a3014d1ea3d334671f96bfaa285a942c4c0389b5d15bb2b2854bc0975536feea1fc88d827c6833f4d72edd84f4bc931c41f4049f1a69983a
+B = 2c70638a67acd4636028a8c9245d68e2866688b35c85bcb62c5ee970c9580a23d9baa4be36f0ac0d4b7c3b2dbaf3037da13590c0487e2c0615894a26288d598968e4c4e8318f60ee78b496dcb213b4f27d906d3070fb222f7d5facbd
+GCD = 1
+
+A = dfa8e7c654bc1859cd62685a5d01892744fb5e0d5c751be4464833a9d125236b1c74635832d43352c5d3e6370cec200fefab9e2379156506e3bfdef641971b7bfaa76248cb1785d8d096c87f36d18b8465d7e01e167825079b9fc82f93
+B = 2aaf7caeed892768e9ee5fa5e5c545a1a9f6765f23814c65aa175ff46edfc9ccfe7d4fe3c048ab69b8bb7934937c36348535b9530dad20e7375474fd465a16301cfe8c19ef49e6f3e84dc13cea97ac9e0614c64808e2431cb261f440bb
+GCD = 1
+
+A = fb48d53863a542e2b3f312c9eb5d4c1645beff51aca1e6333f5d4aafa9b530d1ebc68127c911f08c029a0a81d80beb4b184420c2427cfae9754629532d14e04b0d65701fea5b4a618471ad2c85f1acc66eddb4d5e856d960ee329f22c235
+B = -15164ba1f25a99e064cbb380e64f10134e1210ef97ef9a356bfe9c7d49e2c7a973f9926abd603d6ad95c54062e420b1740fa6b99e5538d118dd8c8b70e4941defe4a8174d5e450019fa5a2343309cf8b5e3d7451a7556c239216d27ae4a43
+GCD = 1
+
+A = -19293e4a1cbf995b3fcd9f8958b1225d5b91e1e97d44433868bdb418d7302c33b0471c3e90dc1ee9243f4d4e0a14965baccd2d710b96f47c1ceb9f7acd767fc3e343001ea7deb74203b71b5aa016e3f65521f7a784afb1e9e4c8bc66967d1ad
+B = 1371e2b1544befe4b445c8a08fdebcd80b6aa7457c4bff362bdc3860f4cad1220969fdae3e0ded976bee00723545348bc890a7f983184cd7403b37a1677039b47a9c7d88f44829404bf81ea3d00ca195f66d798443969b42c272ff1c053d3f
+GCD = 1
+
+A = -1111d3fd9856b58585345d515e04ed0fe6aab671da3bc8ea033baf7dfde3ac66ac6d532d6f1ebc1968a28afbed56324ae8e7079437cbd4cc6d274c4cd04ad828b1365012b4ac45ed5d8ff6dc829cdc0dc28fbe7892cc4e02cd51d613084fc282b
+B = -1cb3c8c28f4e91ca61b515f06010c4d62f41ea3bb46a6958919f5726ce66b5bab4e139f5af1b9bccf8e4d89d3c328ffc01b81ba513cac4dc452e30b6e2866eed0fb9f35c80d00259b949fb9f5ce18ccf18de63b7ad00482b25551e5bd674dff5e
+GCD = 1
+
+A = 195670341878824e78dbcd7a9bbdf01d7d54e01cfa117f739ab817058ad46dd5dac32470badf593199e18435430480e2fee254b3366d304b6836caa0dac60f72bd253d1609c552c2ba17344f0cb31b04af26892beef7d8b6f3ce13ffd98a9f46883
+B = -c4f0453103a641d9ed6f43d346a46d13f27db35d1c59e8c2b41dcef25d2973606b661bb1146a67605dac9d6c6206ad088e03e7f4fcc9b87359016d65c8cea153ea38c9d05f14f4d8bfebf6a8581f1a8d795180dcbfc1e6f4d6632196a2a160f59c
+GCD = 1
+
+A = -1d79245983fa01e4d163aff7ce0af8f4e7c6163f72b9742bee42d32649e1301902407ea0ad95f4257c606d23322c8e7d40cc85c414f7ba8e1261e17cb11cd31e41c1cedf62f8dc3598197c4e360c9db2de4b61907f08190c6e366d5367d22f1ef954
+B = 1d9b83afae0a98265e6db4d0d1ad6a3347365ac638a67422215bc55df542aa453696dd2d204b88881a327d6c9a94857ff791abc1c93af7433a4c454e2ca5bbc501e7c97d12032aea304c451bf60df7c09ab1d0fbf36d0c0f78fb68d8789fa33b6c7fa
+GCD = 2
+
+A = 799e777775d7394f7a77c6db8e4529df86e558329770e19f3e6a0c3265f977ab9136d17189fc03b4f9bfc15542f043bf36bd23b4ac5f588fbc3397d8a07e4fd0637555c048f0b409dc95144e043ae7eb3f7237220b4e69ea9e9504c5abe51f8c59a5af
+B = -19ea3656e1da17cc2f354c7041dda3f6bb851ac01796d1eb1cf5af31860a06b2293b4aa37d8bab04ff4536f6aeea6832fb43e4fc53d9d1b23b9af9740c3b95a8ab617b5c2e001dd28d4510e6a5365031935b130de2d966f38fe88ec2262d4f5ced94252
+GCD = 1
+
+A = 1310e5826ac225e8b87d9522cbbad948409dd85504c259432ea240107c71966abed2f99d171143d1fe40a72b2bb04e40b60eacd3991599870e6a9895e1c13fbdad65bf1f65e80cefd5106d1f5801f9a0a0b69c9ddbf5296023b5293a4bca25794eac6a85d
+B = -b0ab1e364364263b095716435b5707d8df942a74cbedffb7a8c7839866a3cbc9d7e7ebc7bd595de37e3eae9b911c7b32c4f89f97914da0c34734ce14f6c3a044c29121abc8a2cf4c66c97add14ff7abc6948bae778ad8e2312c88811fed28d99fd7892fe
+GCD = 1
+
+A = -38e054e10212393c1e06b81ea801e5e3f9deb19f04a0d1859eabd710e6a8d84127aa983013a617df35b2490fc1138a03f8086250bfd3c10caea0e135f305243518e68f121f655adbc2e9150a8786534b2f1bb8041ca6507934892e9ff80eb6c48bfe2631b0
+B = b02ad650b74479c61cd2c3e30a752764532ddd364ea6971b81a4ff59eaa31f075291f2efa81ea898ef97bbfcd526c54f76a1b3efa9944bf97fc051cb9bd16a7a92c1841a93c565a720c4a12c36fe24869692e88f5760a6fb08065f1a3dbc9e86069733148e
+GCD = 2
+
+A = 10294a7bef1935e40e5d5a169118fae2dfee679dd25e71e35f9b265adb49818cbd56740d5f91657300467c7f0cce26b1b5f7c9b5f37ae8bac26c07721ae24adb06de97c1d3befd4a162141bf45c90187a1a4c662167b7927cf7e7f016b8556556ba2b40fd2e1c
+B = 1c7889e668fbb811a850d939a8d967d910b670ef4937a5aee3c0c8ac0255dab86be09bb5c65e2c08932a949dfba40298345cb4ba26ff9c69dfd39c1674c784e5498947a96421deb07ad293448809a9ca4bc1f35620069ca1d3b3b31126ee27739eba6147df8
+GCD = 4
+
+A = 193093f8ff4eeeecf48441b80ea2d337dce52077eaa3044fa89638a72cb9362d1b6603251fe2794233ec0afa3df79f8816ebb6c525f5f4870f9ab2379ea5e6ae5cb79bbd4a3cca46f35b5c9dd7c2b4b31624da200c1ad5f8e44447d66048a964d69cad9599bc710
+B = 1dbbb0a1a452b0c5416ea19b76984d4faa77a040e3f45694523ad18fa0554a3ac0613158177eb3c5b88a6bd757dd00f2cc7b53641828f50790fc66f5af17b74d068a4a8c398877d176f7856342051854c77e6d0b197a18dfe98bbd4a3008451f9674785a362b1df
+GCD = 1
+
+A = -adf652d2278ac55fc954b53f5d1ad856912ee4c727eb36a40739803d7fe32437a67aaa0a59cc8394ea84eb096a11956dc611a6fb0d846ac7ec107d5e08e092fc98f34094040845dce29730348500284feca0dd0bf723da6c1a9a79409b3310be848e7b88b11ac3b
+B = 27fa57c1c92a3a60d9708160a8996db66fe590f75ed0fb00c2d6243ff151e9d9dc7eccbf46953a6b0f7b44ae1199b8c61237d1c7410ed413b5fe6b61b5a628e8a387a77e0c59ea4354f9a61db2df57227a9b4acc869d856b849cb20042485034eaf20f9e33e42312
+GCD = 3
+
+A = -14c7d5b904755b8f4d20b0e23b6367aeb453e637b3b5583fcc131938e3a10527f9db281cfb61fa718fec45a1beb19274757ce6ad482caddb80426f63842371ea328102f57d5221fd89324b82e2d091350a0ce628877611d2d16e9674f003199f0368a2beb092e68b181
+B = -1701edb25940b44dfecda504eaa7d092857f46a7da0687ba606388189bb355b6ca8f1a80617eb883faec51709d5ccf63474be8e6af008ad7296a69f47d6a99ee274d420685530e521a4186d327829f0b2be15e6816f22c1ed3f8e5e195e6181d9e76378c0b02e49a670
+GCD = 1
+
+A = -11fe62efdd49137f4171fd1cf7e05d571bc83ecf88e4f25d548aa6d48ac468a1056cfb47f83f1851c5aa5bf37860307bdc4ae21e5641c830eeca0efc1d952352c6da051f2a39931d78e6eb9cabe6694a7b3546085965bb1c8b1911af911faa85d726cdf7995812ed8b4f9
+B = -1e18be71d63252d88a9ba24a4b496307d4ebb799dc8d7d51f0d5bf8c25df4809a06bf5de7ca330c380f4e3e32605340070cc24614ce8c403fb40dbf1a1bfee996121b352acba9b98420b5f34d9cb1e04f75304908fdf23d57ded0e8e3e1cbfdc11c8f37b40b5739393672
+GCD = 1
+
+A = 1e26106a038f96fefa81499b8c071f950f01173fd855cfcffe8efac710846fc4c8acc3176ec63b16720c2bf8aa2f8ae41084e3808824f9c87f8af8b131928d81bfcb203873cabca842c63e5b572f007adc1f21462498c32205ab9a6609a5669b47ceec49c155c874ccc3ba7
+B = -301ca6ea04efce6b833130e716a3c7d33de943c8751bd1b6743247c7b278c2419c8f88346b6dce45c67b3a6248f8114e978fd982f1096f4a49d99037a18e1cdf51546b18f703cb342a6c7511323b25e0da5120703b27605513cdc934026f86a8390ea3cb2a809820245a5d
+GCD = 1
+
+A = -1235c5a143af75f8ee43a9ae17b3422c29732581d99af2cf7caebc8534e0c9083ee532c9e5357b663e5d0895b8d06ba34521dc4f27582e94c20f6fc1bec19a81a5c0e6f3db249132000fe8530676ee7f6104d9440192acfc43a2bd15be5af4e1c702fcecd3f365f81befdb68f
+B = -c59787911815bbc53dbd825493b8114bb6925cf35d5ad5572be33db2134cff7030bfe1b1544fd9c842178c1d8a80a06ed23feb08605425bf8788503a8ab43fcd03737993b41bcf84eee4bfa6d09e753314fad68f7d78ab8c30943e0e4fd8f552126d69d53475851ad79de556
+GCD = 1
+
+A = 3984340a1a2282fc4f08d749f6acf3c49d69be244609d0965ca430dace8147b5c07dec0a2691cbf96c945fca9447de446b9f7e45f328903daf574b7fca299742d4b3c632bd48cc32ee3db771459acb73fda9277c746f4ff5c08161cd1336c4d2a1392b676886b098889715032d
+B = 14569bacb60b94aff13c409f7c045bc2a40f6e7202a61ff7ad367c23aed1f13849b9e67462ca9d4464c8b200ebb5b06d7151047792ab9aa5b043a67883f2d32cc9983004b0e7df001cbfe1fb30da2e81164c27590a4b3946d9a0f529d1803e314d095da05d9732ebfa6e1e74cfc
+GCD = 1
+
+A = -9cc3c8b4daa1042936979deee5a67644d69565aa1acf2ae7b017172e28c01be4df5af1bd30cebd029153f49891fbfaa35f1ff7797478223598d1203da831290b41a31914c20f5d1a636ee142ca61521b3be2bc5ef09992c56722ff282dccbdbf7ec30457625b31f873b1e4353460
+B = -b3bdc786eda280a4f65920f842303f33434da1f7f010f22f0d019daa3b4228fcbd7d1cacab23b414b4ca50a24106fd779eace714b765993fcbaf154ad863e448bd7edb119bfdefacec961a2eb2d95875b5e24cc3678facbf28250d34cd199bd76a1faf2ce777c14dea56b9841bd7
+GCD = 1
+
+A = -f4d600ca23119a9bf6b42b7ae208c12493fff374f899bafb351bffab0fa299892e17377343b4a2a6e2d697266f4acb7f1b1a463b508c98ff60b5a5ca4314b4a70f65011c745bff7a02e0839427eaebf8b420a32d66d11adcf3612655cf46d5246ea4aa1250305c87f476ed61d5cd7a
+B = -122a8d2b5fbca94051404e1e454ce748febc63620003c5c7eb6d7685f0a6ee80d68c64c1e873c653c6ec832581d6f6e3b3c7bef6ee176ac2246a032334b9998627e704f36e959c28ed744f7e89981721e986fcbfca1bb79656eda9608c3194ea5badb6abe7fa27e01a491542deaa9e3
+GCD = 1
+
+A = -12814a364322a7beee32fa9d170d8ff2d6037a43c2d1a37f3d9a8b1fa5cef44194d4255d693355fcf7d6d9750e000bb3374f139f0731564e426a3e67c3577eba178bdd3a8d2d1145c7b2a260fb28ad8dea6381af89cb39e23a68b7ac0d891be092251613d049bf7ab479d1dba3de0e507
+B = 1539c5e522e924f07ba6be9f60db8a2db2c78e3b84585ac17a13042877ac2d027cbaa88e9f45c758f35df06308da1d2626dd6be9ed3abb102295df3cbeacc6b2adcc739c772a3a9c9320e79316ab7db6c32310869aeff56d1bfd0fe0d9d316e1f06eedfe987b56dd3016ebe4d3e280039
+GCD = 1
+
+A = 1538a9f244f81fd697238c252cb3bef4221e525bd915e27fc865674a8b24b25235b6c731c8af6ff1b8f32d818058e3b50c59929517bd728e1f76fb7d320a9b1a4e90cd7e2946eda39342441932c153f72d18fd73ee431dddd62e925916e7e6c4d835a919a371351c4fc0e182b86621a94bf
+B = e127c6009413c8eff6ea59c73b1067d26c1ce42b5a3336b9fa85a4f57724a37734c18d028f2d669baa7d613153fdaf0e482759622c38dcc6aecb2838c577d5b12dc42b8a143dcbec33de26369ed59709410f7cf2cde4b0bd89167f5574fd606019d1bdb3581ba35d004a55bca651bc7b43
+GCD = 1
+
+A = 1079904a6aa766e7147e5ea77b46d82825d452e657b39aef739ee1f3d4c3276cedb11e551f4e82f7a6f9e57b72a61e82ab37a15967435a63499336a0c7751db2ebfb83d4244fa1165175c8535b9900ab015c645b674f7347c99ba63a9a163657c37cd62cb49cd3ec9213e59ce4fff1834716e
+B = 199d3d0b3b117127fa5ba38d7f82b35db7298f75c449ea8b2de1064e22d1ebf42cfe550c16b0e5a706826811b60d71e1dd05519aae7ac82fdb93f5618b6c0c0287d6089cdb8ef6dcb48e0f55495764163d488140f508f44240c9e2d591201359c316fef38fda4e8b231cc35e3b94b38d4b0a1
+GCD = 1
+
+A = -16b5167c502df1df3ec2d91cc247b9b31e326956032cb1b7cfa885018cfac1c42621a1618ea396e6e64bc8b36425a134b2605dbbd058b0ba56ef4b8de60db35dd1816dcdc13246cd222b601257c8074e21777fd2cf3a9f46abbd1072f2d2645d89cc5fb9deb801950fd2106576c900006ff734f
+B = -1d13fff4b34c8cd55aa288fed39984e6c6039e97ee645fd5a2b73ad24c2c691b62c9e3dc467397310e5d5e745ed5a844bf8b32e49042e0e86266ae76a4719c521d08e40297ad4018da5c0a3247e1806f600877d039fd7701c1eb8c47496541ffb866d4dca1a396940c3bdbd747f51db24f5b686
+GCD = 1
+
+A = 1878cbd0524042789e86edcdc8c33eef67054ae306a259d4c6694d1d53e1955071d100ede14f98082b0e0b3889a003a67971d93dcc8dbac6e7ab2d18374af676b37b63df40b1f946be8d6fd3c14674d126824eb1863a1835d15c7fb44e743f036043beedd9bcccc1923d5f896c18635c401965bba
+B = -1bec905d0c60dccad4532b0ce71db2e99659fa111f3bcaa53014bf14ee7013529f731688e09b7eaf07cffe0c4a80543f55943bab6490eff978b60fc27a032748821704314599c94bf7771588631f01ff4a18acaa61a8d6396efbc4bc16290ee7fa84eb41c16a83f7227afd362c0079937bd3870aa
+GCD = 2
+
+A = 1b5859b59da58a2da71faca1a38837689d2a654869396e6644c8c7608354e755caad3317300d106d3cc3d1e1beec59db994345c847edc5c8f38da278553bbd81f7dc862069ad3a4601c96b8624db0657b1b7688e5b1d1886e547766b980fe14f4830277435c213922a7c6dd8313e724aa3aff19f04c
+B = 1e1faa796c2cfacd1e1df1803c8404c707111ca682181a69fe1fd5d5a1265d786991185826d6d8325890afeea0a7c8cd75bf9282c183e60d7c8e2af87567ead0bcc357fccad1726c112db0812e255825d7f27533df1e05520ae9db084bc1d51332e00c3a36dd143e2bfb0a0f01eafe10b8cabbaa8c6
+GCD = 6
+
+A = 94a49f1fc933b6fa4ce049dca65bba377aa28279f3faf8396abc2bb4b8973aaa3e41cdf6786b2b916fc788ff918c02cca1ba9486da57e5a07a68b104f70d240018fbaaa7924a61da6bfbc2f03ee2b32b19000635a62b67049b5fb922c6dec2f4451a02873a57d68fe27f37d4f8068305810b1a8aa238
+B = -1c34702e8fea24f032904aeb6f78a37cac87017cfc781a46b477b5fc35a82e5c37e3fde3aaa813a037ac8724d9153ef7b2d361dc5a1922e8b20d7f31a45c6ad66287ecad59b296c5a851d6f99fe94b3a60f08c7561c7eb1903eacbb1e773945d24b7a2e317caf77b0d523d114d1375cdd06e863fd7577
+GCD = 1
+
+A = -1f1ccca5533c2121ba01e3b30ac867352d401a256c29e05c9624f31f9527758e8c5b1dfa6cea3556bb738c70c18171bbe3f5245ebebd6ab6185c9795383060cd2b4212eb337b45181e7fff2570458d7013d74836784521240bf7a0fafe3c0762b94b9adb3f57c13611f9707369da300a36d459a05385b90
+B = -b06ade579cb5262e1341c317cb139ccd1757455a413b8dce25cf4e2cae6038bd0b8600d8bb79bac469b0403331f4ceed563041caa844dc7f7ec758f09b4191ed12170f5e3649e9417d346eb0618ba068c26888b9d5a45c76852afefe825940ca0a208e028a5f023c864b4304ffb47f99148bb9d2885c73
+GCD = 1
+
+A = -167c33e1738a2d4a1c2f29a1f1a14748a4c3064e44987cff5f0bdea5322d340aff91d4061311be0b92e70b1303debc9f6f2576e91e9823db7aa90738d9695cb9efe9da700db2d7844bc3a3f8ea8591b76714c3779d8ba29998b9596d04377f140aca8e714f0aa3173e92e8f7ac129d4b83c762dbe82154cae
+B = -1b9134739ec8af81a5007128d71e22fcded3040d414dcf844cd385bb3cb61648c63338d3c708afca2d8f32a82a6199acb8f9a60dbea4e3cd85b929829eb2e2c4c1800f2672a20194bfc35887cf96db94375e079f449b28a1c06198b74a8aa5b11d172b2bb91e6139ca077e7e9d5d79519aa836132df381b4d
+GCD = 1
+
+A = 939694bfe167dadfaef933887f49baef88bc9851ca5e977e395e7f493988ba1b3c276101111843ec153b15db6c2148e9ac60ed5f06d3349cb694b04137c2cbd71cb331a5b5ab4a90f8f4ae9290d69d3ca0d8981b530875b6d7d9db9c8ba09a3c066546116a7dac8a34c0ae4d5dcff4058ddbf1b24c938bbd5
+B = 188e2fcfa16300eabf7550e7bb493fb53b92442da890ce10fc4ba493103efd6afd5bb06ea1b0658da0079fe5b9aaf0c787eac6413a50cc687b691b5431c878c194a88902f81f532990acaf715f6163a7038739a220c115f75c44f75abef3e74759b664379c282caeb9b9b721acf7dee2e91a45e0ecb798dba89
+GCD = 1
+
+A = 1ace227a0cbf863cbd6f6cfb62145383516cd36d819ca9506f9098ae53fb943a9080f8450ca21a5daf083924b9370dfc7212608d19cb7ef359dc23618a9480ff47e5a3f4b811980dc5fa1165b0f1aec88d28a1eda55edd694cfbb114548166c02e26922e5f52dc2ce83af42258897dd6c0b09ad691698e4bf45b
+B = 1b9b335bb6d9dccb2f2ba12ffd92308bb7824410950e3643f70d32ba0a2273540c02b18256f14bd37e2ddbc6e5525e201ec9bb82248464f0f3167664b1ae729f0c29f1c74dd9d68da6a8a5b3042b3a9969b7e10c95b1bbf1cfac98b77314adb68368ffcf7f6aea762e736979bfa98296c96f15878a0d7bbbee785
+GCD = 1
+
+A = 12f64c4ea9154b8f80755d20c76288dc3ce8edbe5ed0c3d1d57f29fac2582410a563382955b8060ec9db7642ea7ae03579d748b4b5c28da9c52655e17275734619586ec9fca406ecc58997a338a9e13b6706074549fa7850e3ba67013fa7aab8177da734f08521af8d475625330bc1d5097d2df45215fb9c29f71c
+B = -9e6e781ac14f805a6063b79262c666edecc4f63e8ba7fe13ac13aca681711e2b44a3d282061dc2e5e24b908978fa878ae0ae0f950d98fcc47063a7b1425cdc8f9e3640b32730c66adf484633d0392171264dd6f47fb37aa6f7cda4cd77cd7e2e798a901753adde37211af119809e69aead821cb76fff71e897e630
+GCD = 4
+
+A = 12761b7101002f4559b00ba7687c76abb7570c0404e993c6e88535a71f95e195cbe985f76965c84c0382790b3213d00a352764c41742864aebf46c7907d2426df91775b360fe5141ea80def72368151551b6e06b7fdba5d5ec9a84f36fd62ea8a234ebc3247d7485ae29ed106aadc87a54398e91acf6174c7c4108e6c
+B = d59e9d7560f97d3c36ac6921b33af72fb9f42a241852c29900bc27d8e2be791ba33fd847ac1dbeded097c3684d08d868e6a750f62c036fa01c3772c05c8b5a9f46831dcfcd5047ccd35cfc20e404ba676266c7bff764b0b84485c2de9ab4faff880b189c42b0ce53e78ac3c19d09b056bd14f9387cb125c8dff2d42d
+GCD = 1
+
+A = -a357e493a884ee4d99b45450896404caa2f006ded907335b2b840bba78a04a75a856ea128770c0b7aab27eb56744d7d1accb7861aab23e9805b2ad712eeab69aa26c8f0a1497c5d9da0ac8ec5e3c36ea060574caa3b7cd5c108fb590db671897c58f5f26c78f24e29f054b1bcfe3e345efa0bde0d9d25c3dbeee6c7e15
+B = 3b171c506a7595480490b308d5295848c9a198d51b74042ea5fa9dd3cb40b865516f2762e889fe268655f629984577ceacb913949f73c4e2d8448001979843d04a2f7f43426dedc4a0ba26943bcf33bac63931627b2490ee304123f5e3ff49f07b13c65bc0fbf5ce2bb675e16209efdc5d648435aeee8663ce4b799ab8
+GCD = 1
+
+A = 878d367075d5bbc764d3169441ca9bc06567b372848efa2c763c406f6082288e7b155023127914eb167ba822ce1fb4f77c6d0f4c8211c9d91ebada13599765b708d0c03f25ef7b3aaa5147274357fd6f9589a0c1ca2e0adbfbb8cd37fa1f283f356bd2754e4dca86d7a7b59cefc84392f3f39da132aadc21e621393eea8c
+B = 286fa28479f863ba0655ec460acaeca416a5213a5cbf7c16982efd5a35d03cd222044b2c8515d6b97656977ccff126b6213bca344dee2cbf567c8611fd648d062076317b5b89cc37f754ef1ecfe0cc1b64a826a3dd79b3d030d816155db88164e6c1d20ad81afdd796f6c12b9c10a42ce683d116ff3284ec53ee74523611
+GCD = 1
+
+A = -1b0f16d548eff49f6c89f73a9611ec14035a84d05af4812fbb2eba5db27354bf7e6c517d1e2ca3a71bb076020e89fe060dab0290c37f9faf1daa5dbee056e9778c87039378ad926c178c4f5f240b1eebf20ce1abd61689305ba2fa46800a8ffd89115f27977e7310dced082db1dcdccb359d55aaa6b99125b74bcc3b1363684
+B = 1546179c7ef3bdbd9d122d7d53746057a4749b6796eba332006854f340ceb86ca47fd221c6b17feca8725de22169e08a9c60b6af4c83a3fab9314a5de6874d1c0579bb93b650251d1407f957f8e05109dfe77603c04c3da92a40d2dcb2f1fbbb9a335832653965c3e14a579c62bdb9c3ae179bb6230229caa7d01383620f2e7
+GCD = 1
+
+A = -9477943e646e890512b975233d5c2b6f30295850fc605fe4b5fd3ebf97e99ec33cb3ba8dc06f2b13d1d3795d4de9003abc1c72204b27a1b77fb643724e8a20c79c93c930556a72038848d24be395eabc4901b076f645825cf7cd8372e6543afdd85d6f2947e42372ef897b15c4a8376929ceaf383def428f748d4f40dfc0ee6f
+B = -62089c0c1792712323c027efded0c6f9106f9f298e6ecda72795bd5dc430e41347e84a1bbf266b00ca58008a8b86564cabfd7f45b5b9cd0a7d16c41f627e43ab12a6100060ac5f059854ace166c28eff20af72f6359c26008863f0ac09fb85583a173bf487f7304be48c5129777169783620f7790d0da6044be47c290044ab9a
+GCD = 1
+
+A = -6caccf36a233543e132092e2ea688fa1d46510f190d4f6c9410e2d2a0299f63aa28609c57093f43cf67bf816cc87f8fac3d7f14cfad70b815a42f9980035b38b18d93576595dffcf7f7732303662d091bbaffd3fb56b97204b265e06455e28c040d7b47b22b71b2d489af5ed892f1cc968f6f8567c5dc2eeca6cd3f79369f24b
+B = -38f7ec4ff7e5a9557bd0b88d436e684f6ecb99550b0efa916a6ecfe1320e5adac4d7c4efb57d05163b22584c705b5b143c4cf3e253f1f3a05ed2c1505abe8fed982e8e19aee09c93160109d7008ed6dc9d41b243736a0aca8913ced6cec18cefc9674d0edcfe2dcfdc81eeb2820ae8d4aa813ee7c2183c5539f58796774f2fc5
+GCD = 3
+
+A = bd5d7c2ed417b2875e083725a902fb1a3e260cc68fc7f6c9ae750045f1e69301da60e054119696eb185f218ffe04a19d3faa6230b582e46a4481b6bd1c3a6c900980e0fda0c18338b7ec5f55a2686821da6a0ed5bd4b90cfd2548ed7921b71e6d393e4d39be4e7355c97becb125f1bd7c614400ecc8cd8c305ffc2f887bbe779
+B = 7017b20ff6fbce259291b53a91c09ece87a7834af86cb5dd3249b71ebbe462148a81ac3e653eff29fd544d729be28977384d334c8863f64ad9c2276b20030c87faa2f693e71036753c7e8b98aa27f8daf4399dd83a84a5abe2db8e04cf06b0606adfd321b76459777e265a036b6c59782d097836ee24a75b3cd3bf59d400eaa5
+GCD = 1
+
+A = e33fe12dec47ad538509af5ea67a506814e787b475a4c9e809197c99afd80de66a1f68bfc177f86e8a409305fc9df40ffaed8740e63c5b6fb67b5960ff0444e91e661213e0a62728c37589ce834196bae6ddd6ee53607e41633d70af624731161ea7ac9fedb70b21688075fc0d6a3082b82a1a991b87f1cf3203bbbc3f7bc762
+B = -cfe76cfae757cedd8ca9186077b7fadca17250ce655e5b4af4f30ed872135b47a03ce3876e2850f90e1ce207459f31669eedaec4ebd4a0cb9ace3ea3b9687984388dc2bf298617d7ce6668566c5aaa030eefeb5c5f5665ef1a1c7ba23356167e5b76a2f79564020bbc263fa0f734c6f8913e4ad507aae1f65e3311c7bd7074b0
+GCD = 2
+
+A = -756d0a0ff13b141172ebb82ed364f9a35d1022efbe41b1d0508443a8da55b7c49ae9ed5f804a22752e5629c61a58a9fc466625afee42c09f7a0fdfb520f43d762f1ae069bc4d93a8a869b78cf22f62ccc44e7af6884ca642e048665ba4fb13746dc887939db27c99944c3ced118828c3543e1f04b765e293258abbe0f486f044
+B = ed412544d4eec6ba5986a3b4dc091a5a29226e2a3f0f72296474024054fd3edfe2ab0afc23a4d967220820fff3b7cf0d8251166a76836264416362d0f5c30465d6cfd9c6f1b9af3f7707294ba521971b5e8a9d315010177daedf5851f564d3e47655269bbcf41f0d820ebf9fab8e54e3f7bb96fb5e4a0554fbdec2b52599e275
+GCD = 1
+
+A = -c199bc6851a15c193972f46d4f7ac5e1321fc3a53df1a5559f8450d3d1ccda5fb597ea57409f62b49c89b607694c5b6c699c1190041e0c59d622ea13445f2d0b47520472317c163bbef1be889de648339f7b042bfbd7605ed23ae35cd58d59aed632d1445421746ffeff50cb80445106eea241180abde98c3b3c0054a6392e46
+B = -5f01ec6db256e8ff8b6aba1947ecf18c2f2c8d56964aff26456a6b3b438fd273037f7c82241b00796e0a21505cf82044c7545b0e152c436596d26de7c373015a19e25d334b16486abc43ca4251809d09d70c246887d00efb5a1068fc19f90b725c56333714a06c1d04a45bb42b6a81a69c8af6e10dbbf79b53d9d36b4c4a58bf
+GCD = 1
+
+A = d031613a925e8c33edddda72237f08e3dd38a827368823664cefad36c7bfddc8e2d7d7c768d55d5058e1c1e43d7cc612c441d7e974cf638252e2e7911c1225a03fb7565571fb1e33bd31c0652e4148cd6efbd51b10e8caa28714ee6cab9138c4f0745ea27bd101b01642dfca88de7d22185c1b8ae8303873389d4e6ebd0e83f4
+B = 289dd5fc0aedd8edf9fc7c8790e87c8f7dfba39cc652526e57d6f4c54e34080f9423e74737c0106c40265f8d588a2fe3c4a2d8fb9a2a750240b68b49c3fccf444cd82166656e43c4ddd5956d961c0da0a82b24bf02d27438ee72ea694d50d48689949b8373499c79f99e126d2068aa0b39879cbc6fea9165331da3ad4eef5037
+GCD = 1
+
+A = -55963bda34f328b534120ca4bd3b65deff696e4f3f0fa3849d8c38c5f011dfe3ab2965af91ad87b92e5bfb5e129af532363ae5da50c625b0d64688ec708a483c8f5f1e100fb5d4efd1ac82f431cf9faca2c63864050c642bbfd6e77c0cf5c93ea391272ef66ce806b58576459474697e35485f85b7c1426c0dfa1506b011d8f7
+B = d246117e7ae43d6d8957707a4e86e184643420ea755ef8bbbc98a724b3e8b0197c235b91d2d3701c0ed80420ead84a68f7fc8fe14986e4b2ca89e6cc5235aba8c8916e5752e724418b9a9fb4e16ce9f04c47328af66d8b4ebe384498aac1e81bd993694e9ba66df262e22c6bb66514dbd163d9811adda2a966094dbe98ab0ba3
+GCD = 1
+
+A = -ddb882195f29bafbff1c87925f8dfa8dc51df7799aade28b7e8860c374fccb1491fcbdbabe6c378e1e603d26cf728afb49a332bff65bae40a90f148e611728161212503724fb917481c25c5b869b0b0d6d65f7635a98946ccdc5f74803890ba51a33594b64ec32128e2cd16df93cadf3ca720cd6712db44718c60af59ac34f10
+B = 4927bdf37163fd73c8353ede48248d63c90d7b274d3eb5b24d8bebe295e14ab6dd885b6bd2b90c74b04660435d6f9de29520bcfca89f7a336fb3943e6abe8139db76abeacba8c432051f0227db91f1ca891994126a371cbaa60554389b2763ba191c47ff16b93810f5512c3cc3067cc439834200bb4cbcc927f961f98394f5ed
+GCD = 1
+
+A = -f6f73171e7043d30a6b1ac1492835f49bf0e7fcda58fa949d296be8bd336a8576771265d1d0de02b2b66f0ff4379b149bb3f1cea1841f37b6b0ede0dd910a44b327fbea556080b3efe7200beb50fc157bcecf0c69f58087358134569a997d2d3eda22ce16fe5a1e0a341140914f72c5d473ba0a4efdffe67edf86ca6b83a4f9e
+B = f08ac097be5e56dc27875f6823faed994c1b2364c9b02aef1d4acc3b1a7027589d9504df3f214825cee2bb0a80065de3b960a4b9ac15e7449917e3e1a8048babf7b1c762d259397923599fc954d66bce3ac24b11be318cc939384536861633bbc8c1720ef4f82d979c24b9d43d058ce12cdcd8bf6ff37c1dde4d8e2e3e433068
+GCD = 2
+
+A = 70f1c11cf262d61f1526cbfb8ab7e13b8e1955ee345f644243dde102a8dccfc9d8a1677b85221cb3ceda2a52e497fb00a3dee9734ceda4c4e0e317808498a7e515f80fa9a13007c210c7be8b795c695716549ab4d523050c256139d0e37f37f49a8434e1415c6385fc4727eefcc62a9e47d3897cc99cb830d74750216e15d643
+B = d82855f451b9dc67c65655decf728764ee0c8cd37cea5d0fb17b5093776ba6bbad68d363de994ef484c7c9d119eb00adc9c5b4e6e2ee4ab721989d969dd2b6f5ecb7087f17d58f0c715625410dac2245a482bba7cdb44a4472c354e2ee0b62f48b5786002d21212f44b58225ed8422456e18f292f6184587cc11c0a6c3d32bd6
+GCD = d
+
+A = 3769a82693775d539dc3a85be4a645477f512b31f15e21488507e1c3e58b04310f013de661072c5cd8b86e22dfc45c878af4747b6e84d15561e82dffab77f2404aba54387dc4cf5739dc8b43b961a844ad175d08b2fff50c78ef1d960fc50d482dfeac6bf293b376a7c34564f17f858083499d5fa77069d4c3f09fd669eca6e1
+B = d408ddf12c29827b76183b55af124b4fbe6df4a28c7182dab2f8fdfd88404100c16587ac701357c03da9d2fd23c5cb521ee9a2213af3c3ce8bc80492b2904e1ee2ff5a25b042845307e561e5ddcf17ce48b91fe0c0555ce9be4cfcec2a141e11aeb233e8328d853bb414d4f25b8859b7111f3e8897bc7a7e48915e384708578d
+GCD = 3
+
+A = -9aed513c9b54e793cb9f4f609989cc0c807d3a92c2599de08b5dabb84ab76678740427fdd516a5b065cc5ea48223b187132854320a9f8c6175df4f1e47ad4d6a7c5d83a940c6b7a35acd6d47b286cf3eae563380b6c9f858379965ef66768c372df9c4f0ddcfb1852480cf5b5bb49c8dcf2c7f2862230d32d1621a31903da26b
+B = -b59b3f89c21bef97624fa6d4a9aab2d73058060f5a85845ececedc684f6356991845ec3b2efafe766241464b0aea882707c7fb09bcd41dd0f29ae5ec6307aad950e03d6a61d65b44e51f0b95dfbcef9004c9704edd2965685b58ec3e14338c542cd6159c07082bd6745730a0b48177fb1fbf34d0f126427eb5f669f105caae91
+GCD = 1
+
+A = ff5402a7e3cdf18beefde98b874aaa0f63a320018b2cc476d9da21f0bb0660245f12b8323fd3f216bf923329038a2b79cf81e105ea811cdeb37b324ad87b7b25d7c62d1a33feea288e98af7886f6ec118fd5dc30eef8027e746573adbf99c4de1c4e4422a96e824921d14be5ca3d2e259e57303ec30df721b799af2f16979b6c
+B = 11cc449131049142ac79a1758bddf434ca2079e060c621c9ca7bcb355df93303305dba62cda7a9187ec24ea6a8c6c7d099d6237d8e251f84d9d9fb6661b71b3b6bb8641f2e19892526bae5085039f7873650f087d933f2f41c80eec34cc8f0a14c39552263d0e25165c09bfe63625ca89aadf08ae18984ab93b7fa1bee1e86ca
+GCD = 2
+
+A = 5e44cac87597648bfb5fa4e02567adbbe189e4e7ff8fd6177cc13bf05f107c25ffef9ca6a84db7f2808fa463c4c1e05a83b0a3345af8622c5795b0b9d3dcf569bf277da70f90238cba04926f9e892b162433b40e7fe8329bffa2ddb06ab24c34de42fd57209e0e60763fcc13964dadb28dae00038b365a1fd6c8de8498826aef
+B = 55fcadd42af7356651963ebcab519de6a2a9c95cf44b362882f61a0c2c3b45b30f0b36c0b1919bff845e6252203e9930cab4bb39ca521e03092f2462fac2e5047fd3536654b8deef12d747260de226bdbb79eacaaa1eff609648c4abfe9850181ae6789f01a9c9e798af5afd79f82e479455b6fdfa2bb8a41c18e392bfbe833a
+GCD = 1
+
+A = -65f9e5726db37028eee2330e4171252bc08c7da46904936d016d26d67e6765ebcf811e903df6924aa84c1ec6ed583a2c169476b439cae7a008c1b08b5d5ae3280662504fee3dbfb9203cefea31f8efbe39d0958dbe53c522aaa57334c5af2217df352b84d55f788cc179ffac3bcd2bf914ebd62821c6dfed81daf034c9e636c9
+B = 21c3e3f338d121394144a2084a0b1b4e47f50421658e9d3e42c8b3204db2c4f4a26999dce0e91e3318ba764e599a8a3ce7d799834b1d4158d2172e85a837c2d684e27cd350e4efee98a8bf844204d6a27a21e1cfe77dbbdcaab05db88b0d42b902c67e4e99ea8b3f3b6285773213a901b245e9d2757b60347c30413a0252f64
+GCD = 1
+
+A = 9c55e770567f5523c8c34a40db5c99a65a18cfebf01c408ccd1a14fc449db21c70e1a59ff7e8045b4848cd9072061a8b9a0b0e82b12ac3ce2fb240a3a2f130a56d9a08123cd700ad2ef6a5d540f5088c3fa78eec9e1fd6b440967b9b6f4e29449ce1c2943de4215683e1699c286b1001ccd7ad04984f1dc941732794fdc5d108
+B = ca1d8c8831ae7583627ea61fb6e7df1d2a83c415fcd350995c791d8bd0b53407d65034cae16f498e215fee81b38d5de7b8cea3f1f937eae45eddf4afffbc5969d7dd9e405578fd7d37e36f4cf082ebe8435c5d01f80bec534a43965aa9841dc71866556d7e1415350716fa7575f4a9299ad2746171976e2ff0d2eb26a011d64d
+GCD = 1
+
+A = -82145818e887333c10d64163b49a55a7b3d5755fe499e7ba2f4bf23ba81b20ba8fa07030f2c6e7a3aee019b62dca63114b4f601f09f0120537661dfcd9db012b8ec7c3bf02da8c78eb3a696a63ec265ca09e9da390b6c82505de27a87a062d47a8483cc70408fd559b97f93e84546db4306fd354eebd4fdf19cdbd9b2ec252de
+B = -cb7e2c35be308b92c84cb442ae7a04f57135df7b86eed2e6414dcecf917a1644e3e13b1c348f6e13a30e00f75b1aa8395bfb771c7f577e03a0141975b1842a128f08eb3b2826f43a9c1c9f3934d279c38107dc8c4cb06c5e3fb94b869bf7616277639415196c2a5f0025a2f20237e12091658a838cff6719a45950a07a5d325a
+GCD = 2
+
+A = -a3a579bd080a8dacc7c8b4c338659ae633de7cb248b911d8f9a699e715756864d8be436184abe827005145102db9ed9fac3f769cbbc50db74ab30dda96ab54468d077b62733bb4808d88a2ff8128b50a7942edafde008d0088ff73dbb9d0b457975baa04f9d0344a2447a76414e3c3d4b450499acad3d507b28216722598704d
+B = 5c89960d45ea9507a3251911e9a6a44a431565b976396eadd21d310d4fda77f6bf236e71155aba05862a3135d713c734c3400653750c5d055e3656b57e0d098990824f87cd180753483c5bffb92e7f481506a329e2cf88474d57d6d61eb9aee91cd4b31141b24c4e9ba3e44f9e4c705e8504409f94ff60e18334c97754964602
+GCD = f
+
+A = -34f6460c9f7cdeef668460bb0b25c53bf4583d184d598bbdf3ffbb23016fc47ab5bcb68004bae8c29b7d1352f8bc44ab2dd247efc60792813eaf577dedbb2df88578f6ead9c72146be9120fdd8bc3914ce4eb40259ddf76ef449a1980b531d013dbd70b076ecb5967fc18e7b16b69e294976e0c5cf8e08da6a555d1c5a348d50
+B = -93914aee0405920bb43a1656451777b0b29d18988696120c8355dea64a0c68da342b652263764f9466beb5eb9e6a971d7d00b1957e0160b9ed73204d7c6d36d9098ebe918dea46a07ef55405ea09395d503c6dd013d48e096fdcad8fbe285c16f20f44925d16c4bf51bc1ce41aa3fa242e2668cfb62df5500c7e8f5a5733b2f0
+GCD = 10
+
+A = -c68ab09f465fb56a2ffdfd157708b343e584f095bbfb09c74b50af7885959d001aca824a7aa1dfb5842342ff907781ae622d6818325d88dc87e26d4d4b21ed27c90a00a425f6977dfa4607774c92138da94a911d4442778ed39405fa33cf37cd5a1d985843dc15a2e3dbbe7338f43a5ed9c925a6a4df6820afdf8db4036472ed
+B = 5f88ed05689915d77c0ff4603ebdd8cca4402803d6520adead85a11eb2cb2363917644c7129fe8c6f900de95bbfc3efdf44f8c06ec38f14f627f18c7d15c5c7832b544ae9524bba75df7c92e51e027f447de29e37a6e97ecd6e61859de03dd2bf9177254e79702e53ccab7e8f98deb75829f6f996d4e828bdb2cf345d9c076b9
+GCD = 3
+
+A = f2a1e80f723edc6024afaa3212f6fea834c6954d58b3b53687123d22a32ca933f00b23ec35b29acf208f5a1df459fbeb05d993ad5ec147a7212dbf99601a4e70033fc268c75c1371cbd0e91b4b67fdd0db37f82ae69b64921b6249436b64c2a0ae0717219b202d628722008d4cfa4329a15f95cb552e54edf534b18506ef5732
+B = -36ab5aaf4d66f9a577b141faed35455392464f55346ba2611a45ab90b6cbd1f19af2ae713be4c149759bdf7575834850f5ada15cf15dda3175c6878ed210a822e459ecb3bedca1b50bd8085308e96c8f3c8c90242e5e9fb976bebce004610ee4ba24067c0d31c6ec2a33b2fa0d73df805ceae3ff51fc30be498c5cf66123973e
+GCD = 2
+
+A = 7ddf6a76ee91ad09346a9caad7187a3a2e2e5e3019a517f197412a653c6e0569536b1eaef5b8bc17453eb6d304a4278e84e397d8b8739230b7a7985eab7481cf56e9a7442db229da14d09009a11e80130722cacecfb4186318777fd017d834a68f9f231b0ce895a59a0b37e7086657a70091ec864b15a1f5f5aea40a0d271a74
+B = -ac7ce8a90f6a5d64458f99b9791a174e45a450e5ae5063dde007ef5d6bbc4b9c82dac6433fe3e267e8c0156aebe28b6c1406bfd52488f6c07f00e100420bac2b360a203dde3a105b19d70ff7a771eadd2f72af09658265d652d3c1107bbf37dc710c44f368cbc9ab1436760dd0160602bab5d609e78298aa64da24675c2af3ce
+GCD = 2
+
+A = e1aa7194ebc4a4a97d498f88b4240970903f1e3fc617477efef582f604eb12dee73e71d29300b802afdcadeb98b26c4a73edc9dc3938801c8f1b85f7079d15e1f89ba011fffc06e7f208fcfd60a9a1b3237bf537c7fb7b7d4ea6bfe260630c73a90d98189ced91e4845eb0fefc5970161e87947dc102e24731e5ab91e60551cd
+B = 55ba462127b24e612807dcab3e19411e197f67d57c3adc76266b4dea2eccf80c22b3a66fb100338cf3b03870d5801576c48d668ecbcc832465f8d9b1227e98a941458ad30e05c89a5682ef004e4091c1a13ebe7b3617539490e98fc96a26ea8eb433f02bfff96bcd79a5ff52a8e7d04566d5fb4ac0deee3519770b273f9e5587
+GCD = 1
+
+A = b1406338c3be11cf67a8613b8149e0204e3509073a3ca0fddc0cf3df3df5307befe6aeca29c653505eb9e1f9a658b2f1d8fe46b97a33a417f31b4faad0ae841c7181fc74a70ab91dc6f6e877d4e75b7ce12585f5602d07882afd74b899ffc86c0d27a62e20c8026500b0ba6832ee3d870f20b33cb8bf54adffcf743cb67a1eaf
+B = -9c1f7ce47c1256e9a5bf89a6c86619b88bebd3fe28be55a4401b0d68c864182f358576a47712466d9ac106f10c52030b67217879c913ba19472e5e424d00091a0d7d8668d09e832131d5e8f502646a5c332fe1f6fed7cee86193f68dadd1f42f9aea761c9598563a613e1488ce87b165c879cb99a64f46e691cb7329b341e90c
+GCD = 1
+
+A = 5a5b9982b6af5f2e4c7414150b503fbd22d00efd6a9b7eff48964ba147b8132a80e7e6207b6961b946f32cecdaf83baa78a7dddfa3d175fa594b90d2fc2abc53bf4ee3412a4fc72edd2351f2ede9b41cc97dcfb68d1648c6c6e6d3257e5efc36493c9f02ab7716692442b2670de89084a4c7a9475e4347529cfc4bbc3b8b4500
+B = -49991a89c2d0f7a5de081c22fcd49346530b0f319795146d721fadca7d015f0d524eeec770a7b9888ecb41d48650bef3256edcb22ac77725f96f1b797cfbe8970f65a93718bde7ff948df33408a9e46eaaf03e8fd009ee0bc34a189e43dfaf7a03c06a6e11db25e4110dfcd1bee6b493f7de40f6b0e0c0ef341a243c8edbf905
+GCD = 1
+
+A = -e7484deda086ff745db70a1655aa72ff6537571440092d73b017364f46b5337ebbe8f7a0afed55242e82bd7f0b14559305a6d88f28286c99c27ee5e32daae2db8b3d6ad9dc246ef55c830ad646c58fb44c23682b33abb94e477bbf939e8bb27a4e2f1e27482c30fc7db46bfabe2208c9e89bb40fec3dc24c83f7da3c3d3b6d96
+B = -b9ef8ea30cab0a42c19bed201708a07bbc10509220603aa09d4cea6386280aa6f2548020dfca2e0d0651ba2ef75dfd6fca95876e597a5d8cb102bf9ec6e36cf962d4a29b0531862fd8edccd3c996889c4edd8801dfa3620c9f3488c770320f6e288de3ed763b6223500ebd42099b7b5ecd86ce55ded4c8386c497a0211c4dc83
+GCD = 1
+
+A = db952637b7704ffadafc51db2d418d6727e4da720160b1abb3c73cf3d11d95856761ed7cd490f8b5dde0f8eeab5d71a007223ab33d72596d50d3f660922fec44565da2779990b9b84382645c12fe80c84d7769db36403a6704f899fc2b7474ab784b6eb1dcb19b775d8eff02d225254eebbff9ae67015141e944796069f336fa
+B = 54d5ad2f79175143565445539d8f95a1776012af72784a9769a1d8ec9653367c5e8290e0a2990b7460de28a47768e3ce5930caab841fe19b369879f912804b66ec0794f0471265dac2c59439a3c04c35e6e3b989753fc10b7c536bf114ce49f9d43757ce152baabf2ef2553715c3c637886720d138bb8b59e71ed28d0c61a02b
+GCD = 1
+
+A = -541a341827715392d101b245955096cd5ff54393edb51c90815216c7be8eb6cfbc4f6363587400a7137d5f4ce5f2131e9b86eb9e0ba895b3f0d699bc4c3136d2dfc027deb67682e42cccb2cd58a9353f32469d4e9058087b06905ca17fe5a38111a4f3a43b0ca8ca4e2507aecc77aabc85fe5b477336ca305e049705ee36dfd9
+B = 9e37e6be12098f93cce777141a311509152f47567cf7b5719919511f752acfcd0275b0715df4f81706a7c93ddbed319c5dbf65fa19fb35e16a850bf77cb8fe55ad72e7d288f33d57e695c17e89f7e835b57106baac75be4b22e9ec81b5410278c9d4cd3a860ff89316583c9d8e0291ab77a58942427df6a4f42082341cf8da04
+GCD = 1
+
+A = -db9f0aef07e018d88d03a0cbf06e87f827b793e8e69c5384e6ba77bad80c81465be214b1388f7746ac7e4b038f44842ccf017ae12e5e989eef94c5a005a0f165bf3b3c63f27e7e152fc1a5b880d73996da28f00b5b74deca2bacad56a046e29300c0325b9f068f942e6b7ca45a17acbcc97104562049fac42f03ea6694260c57
+B = -f97a2c761901b15e9e8b1a3ddd2fbbe37bb3d3ce1809d88ccfbbd632bbf2795fa660eb35c733c919444cd4b23d11a8625b073899086e58ffd074281bbfcc4a9c6f7e8fa9d438cb6856fe8f7007d6bc599c7d31e37bccb33fb72cbbdad6eab7b7ca6791f2f87b38553aa34b6f40f91a74d0d76128f04f5fcf730819722a427853
+GCD = 1
+
+A = 92e8f0210ec436e404a353e31b6e6d521758e7176bef0bd97d5e18ce0f7e53e8cda9d0ebdc642cc6f98343fd42f1257332e3f43c640bb17a4627c606bcc4f1a185743c2d8b0f2ac2744403a36226ca32dd91a2bbafc4151e12f0f528046ff5530a5fc0a8f3b5be51a2f4916bec6a2fa9ef7e006102886b2491ed531f362a196f
+B = -2dfa59607d7803576f80f7a1229cfbe646b60a3c9e802041560a1eb666289b3fc2dd1449adbd0c9ec4007977e1973ab6fe81f12099724d5574fb6d3eb4151e9a165fde6d0d8e9b177ef7e1c9961b7af5b7478ade5a3956052070cee6d0a86556ca0533a5fbbfc5202f77f09ef3f2fa0f635bd9d800115cceb29530a9ae188640
+GCD = 1
+
+A = -f9907d01ce6987ee8f322646fffc324909f62ef1c19697f4f0b4ee1c024c2e9708d5df31747783c1a0240034a22e8986f24b34d2df70e5ba75fae03d30682c093f351741639927da0357ffb303bc240fead312a152a5cd830e16301a820a8818fc83e1ffd8d698478a6668035f6a971180564368239db6574f2ce3a7069b4bdf
+B = -1054e20b0f4c034e0afb49af0775fa038130b8146ba8b83754f3fc5be81e08742bcc148b6bdde6fe7a779e484e75c7d7b30bd3cd77e8a5eef8c90ec3dd6f19548f326383d4c807a0a3e51c2eb5e1d9a906cd475815999b46b61e9af17eb37f39caf16a963910bee778923bbd3241936ac0aa0de5532624553aa9d0540afca656
+GCD = 1
+
+A = -acbe447391e96e280ca05a19ca95a07754bac7633b44c3b9bbc4727633feb83f7aa99ce22d43ddc25d4a7c3311afcd9c072f527ceb12315b38da52538089ab9b02893a0f07231b37a8fd1ed1560f4bb57da0fd4e760f5f5bd34b6d13f013f5d73e6744111ed2be31515b92db3f016829a640fee1b574d24abb618f0da7db697d
+B = -90d228694275cf10d180a6da81a5451e2f2c49c7bcfb505894ff65e91db1d938036bcd44542d2033b4c86a85f9fa3d792a5d0d13d522c61326514793159ecf15013b15a79832f258872f5a454289e1d4768e07a5b33f0a31741a49607d0f7f766b7b7748890de31bcda74b1ea8ad20e42daab8d9385bbcd583217d7184387ea3
+GCD = 1
+
+A = d63dc3c811f1873f1583645dd6f196e3949128a314f19a3a6f61ce4034d72636c60d3e6789ec3f1c99a0c55aec8db58e2a56bc609c6cf75ea188ae51503623ab999494c85b78da10f45abf90874e993b8189d5dff711913a205c773c343dc290fac2f674494742b7f0411a94dc1e282f86872f2661953c5d87cba160c0823cf3
+B = cb2e71b2d5bcf60e08b53805645ab23942937d610adead1daf2169b1a73866ca8a00ad52a5caaccc2fc785c549a6d7b1d69abfe0ba2548b6d039e0fb4775f09afb439a6ccc3b043727f977fc6381f09a034f557dd662e20672419d00921c0286d52f11ec7152a64abae1dc7015a2b96d8411461adf101779b707b9a500648b94
+GCD = 1
+
+A = 125422c4df20f12576bc8aa7c8a0fbf94a005eb933907e8293559023ebdf1692e80594d05165630311b2b9c1265300deda5dacb980bb3d3b4819852a1978ee49f46b1a0665252b51b74cb7b40e41c15d204cf768639c6c468c28a17dbf1503f187125a95d17f088e85ffec1aa8b4d6aa94b93a7655991591066696f83b9c374e
+B = -1c01543774f54e9758475361e112f9ab5c871b57a79fbaa070d9a23d05861e89dbc0c244b254b366c13efb600e0a19cad416b9e172d3fe213e55ed125d4a56202ccb36535fc709f2195ec6e10ec38cbc412984e8debd825d082bb8d93d7f81fe024379f2b7e84a2b7e2a5bc9b726c4f03d45c730112fbbe3f0c38884314767de
+GCD = 13a
+
+A = -b7085eb4ec0877f7c275203307471342dd75face1264aa790c000455dccd01f257fe51916fcc87db24cd866333d2993cb1085a1e845c5745680e7c9a075cfcf80ab135dc25b3119ee0bb8eb903293f6366155157754464a0430573f240593f43a38c3e1045e1714a69b749094138a21e76d7e3a66fe98656dd0973a87e52e2c4
+B = ec2ab74f638e649b2c0bd11f165f7d148290a15549a5b92548fdf66779af5f4afa561105969a31cdc3c8019b8923982da9ca564f1bc6233fed708c80693f5c8b377a31c8cfcf8d61c75557bda9d7641ac21e7b86394bc9c719c9634fa2731febabdc0eb41cda6dd8ba558ce368cbbe6cada99e5422f4b1bb7a17cfc5d6bf0d8a
+GCD = 2
+
+A = -29b85f1f9265e9d3871f4f9e8aeb11bb44d3f67b4cb9fb1f123dd2ffb629d55af52d46a0584b0e55a7ff63c578677457c8316587b44eb397d72f51cce3211b6b1058cb4d395783f4feee48c0b992894527f2c82769325b32ca4d88ff06cc6a004b5377d78b204ddc4ed833f3a875bc37e9d60b719c76cfec6634fb0a071a5d51
+B = -d7277f4649e576713e20395cd81ca9e0be8f413a677bc7189424688d8facd220c8927c529fddafa7d1966a4e69b4c6dbfa2dd42d3e883b922bf381634f19c44e8059f70b35cbba226c650c51d5a224352baffccb20a948bbd5ccf2600746bde6b4cb12be91edf2f8a3d0c5d0e68894bea5619b530e24697dce6df590326746b7
+GCD = 1
+
+A = -269f7f6e86e202d21b32584f7fee0276a09d7df3f82aa5fea773d9f778fe3df405d296f37ae3dc4f36eaa954a5677e2bc1a18e9849e98e08fa6d8b052ad34d40fd25809b09c62acd423066b4a2a726fae7568ef10351fa99f267342f0a8b8ee45ccf09226082a1d68ed1de412646fe7a7906fbec7ac49bb776d7f8587b62c395
+B = -3a756ee81e6374fb9b4d6f411194773bc2c34afaa09a882555931470173c2f08756fa183218f7655e5acd5f1f8b42ac4bb2b7e4dee726f3883602423ea79bbcf50cce383a66d797af682e791705defd57537d1e0bae240e93097ef6b6f3d2cd2c534bfd3386bc3af93c1caf8a9d17b83385694c9dd238cb76e0563961bd828b2
+GCD = 1
+
+A = -a9887b259ede2f47e9195370185fa7ce9b0b03dc9c612d3f9cc7d553fcbdf109de2b3ee7fc0a6273c84f657271ceb8dd3fc2789b9ee3327a7fdcaf3140ea1a5f9eadc790f1740cb3ef5cd00462522738aaedb2fd5426bae6d9fb0a4151d5e927838a5aca027dad070f75fc4d523b7080d9d56740bf5d8d9b3cc6152177c3f0bf
+B = -2a7e77778f38491f2ff1cf31e9d2024f1afa0edb75348ce6d9ba21cc081523d4bd609c699455d5036f65d2b3239f7ded4500489ac0f05f2b2ae244876582a3eca3c37766cdef1b806032692ca685de474e6c0aace771486fe3a8c35249113996e006d572a8de579a7e2fa056b2bc1ba9c8dd336fa9c05a4227854aed33b8bc31
+GCD = 1
+
+A = f2518026f344e9ad46a65e0c0382bd6a75f1b1adb98076780663e3efa736fd9629529c83f62cc72245e274f3f4328bf36a39edf740e082f78e030b88aa69e42af9c21e06fd58150efbcdda0693019c9f92902917a3b796094c3f1e6725e933b57d38b3be8015dd7a1d293270fbf4e1c11ab7519cf817b3333f3fd6c4cbfd63aa
+B = 844ed502eebba7ead23859c38d0fcdf6641abba60ebed453b8ee68be67f84ad8b019d16fb2a1681d305bf11dfde9f5119f1e67af891e46ba00e9741af0546395be72ac6d96edebbb93d29956ace4b6da3a4a2773b825afe28e55e129707f42ebbfb36825ff30986abad47a6bcc919af81c70511f816afc3d203b4df48909b650
+GCD = 2
+
+A = -331c7a990370840722a14c9900a512ff6c454eb37890ad6d59dc897258ca668682e563f753e5e6a1121381f2e239e8d9eeb5867c2b89eb6b7e2f58632ad94d66c29b79b980670dff642cadb62781ef36e97631da48278120c534026e15a1f01a2369cafe0cfd47588ec5c3a55cb88fc0d60ffc0af2c0caaeb37e83322816bf09
+B = -d29a675ebb1e842fe43988371ec9fcc0cb6c03c213cced7c58f0b5a3d742820be36db4a7769a7d9ce3d30d3d638b20e777d8f026efefa64ba05e9beaa70e031394b71ca51fed694d6eb36891b5843ff56e9a34cd6760c9d34cdee25db33fffe861e69368498946db5758e95d14ce34c41807f44e629b31d7fca44d2e19a8af39
+GCD = 1
+
+A = -731f7189bdec6588c949aad1ba5584a0230eabc2c6b5f21ea37f8bfb05295c599df6090570e2eb17c443d53da696708b5c70cd6b7d8fb087e7d44ccead85c7986f6120ddda45f851cea93e0405bf54e5e182dabf30033f1e86754cb59c82a7f3402ed8a890be867e8d935f6c4a7df7ea9ed1a5a36016320e78ab830e902c9c8f
+B = cbb25e36feb44b74ed083842f0dfda97df7c8e869c470eff5ad69fcc1660ada9eef10f2f175ed83664dabd70285fd25efe67ad21b9ffe1a7ad51e38899a0b518e312b84056ad6756883f74bf7f55beb1929551bdb9536670a71d61b94a44f244dd1ad88ccde4f3e63c9d971517846f44e29788bf5acefe6c2e8b8418e4d17ff9
+GCD = 1
+
+A = -4d1121e7c0e22c10ecd9506d5cf39fb320ed8c606179a4a1d11c313eafa4ee726d22bbd5f7d3fbc889a55be8a20a0c1a16d26e9768df894124f2219fde34d406db30e25b71796dde1128f77461e0c324f2c05b79cfeaa1d5d4b40838a4e8ff4b7b47f300f77c32056841fa44774d9d6d68c566216cbeec3946cec1a0a3b3ca8
+B = -f3cffd8a72118a4c28389a9ab2b98fb687c445eccf7d74ed1f8f1e06b04d9288c493e73f04df6d8cbf18db95b26f44be721e4414714644c32de8a6da8200448a83ffeb52a624bb11c51458ef69016a20b43085fa8739a5f86da3120aff4985ff086857014dcc9c07e03775842345240af95752d929388d364cee5edab3882819
+GCD = 1
+
+A = 2616b3d49f58e60346539c83cfa58776bb7c3ee25c275d403da500b21f7256d3d4e08f8de77a7d6589c2bc78ced2d8b39e0ee958e4fed9343997b0c77172ad40d290a84c127f1cbf2de13dc24e08a22f287e242ca464e3e67f3f569cd7c317cb7cd8de44d0cf9f5e6d9b6125169722ec8f68ac04cc5cf6b9b7ed9f634ac9091
+B = -15969bc04e5096c938f053682d225a7ee7f9c71379df51c2f57cca68194b59ac71098fb8d3234c3687292b45da7e63b0259cc15b5cde509e89d2260694f85c788c4b2951390acb3c1595c637bfb46535fef18f56db6623dec727f270e2a9e51936d1ac8db7cab76338b3b50d116e8f9722e4c6f69a068c2ef8260c2d88c2e55c
+GCD = 7
+
+A = f665b4d25d8dbee0ab39080c4135270aa21b5d0d04076faf50456fc5b198c0e4599d323d3774b361765817c0279898da833ea235488ce0405fe727cf2a70537d693c5ccc748a370b68491521cb2911bd9e8b5da0bdf08c65843022e71d12292c246a48366c9014187fd82c4619af5ece902267741157f65dcd6d16d4c1a2825
+B = -75d7e8a968302d160115f3da5cc61e443e40ab10a80a1356428de256bfe22ef03302754a35f50dfa54f01646044fc195542ea4302e037c0514ef66f157e9e1a3026a559edb6f74ecffd71112483deeb2576a6be36439ca2bc496667258ee640d7c9f4c81e42c5c337326abb94884cd3b448ddaa2c0d1bc8e2cc5a36cd3c3b867
+GCD = 1
+
+A = 8c6ea052ea27830bb4d6edd1ac608efdf1ef0fc3721c073fa47aaab2a9aae124e70263e16638bc6fe32140c90003ba1c61a0adc083fbb2ec6d542108f226f83b69752666dc92638b90ed8884fefcd98dd809e259a360b3d7410b4c3f131a2c0b1ee2ed62c118009eebf4011a84f4b69d29a80cc49fa4eac22dfd125ece45b251
+B = -6e0d94812db085482960a2345696853e58469df6d8c423e8a822df40b5867b437b6d5d4c493b212132e0b089c1a1221d941c65ced8bbe82bb3c00a1e620dfd3456a64b95988e46237613b6ad736ecfb68d3e16c77ea1efe68af8d192dd9ec07f91bad4736b4e89347756c9ab7edd9f2b0b6765e723f1239b7db1c1bb2779e6d4
+GCD = 1
+
+A = 7e511584681b9bd09d29705f8f722fb83a94d914e7388979606ce99e1d8a6cd55a6b76f8eba238b05f9c5b7f35be534817c3934ec792080dd71f89548211d30280f20bc2034384902606470b9ad60b1a3e133503e0f67d5e30fac447f7b15aab94d2fdf33a575573975905e8a62127a35c820b9f00297e9e2ef5ba015aec64a0
+B = -3ccff0ead3639f375625d4c79196e4e4c3db30970499cf3f62ae0064ea43e9302440454e5d8b974a41f7a90163f1c01dc14489e8023856990b152e05ce2e301e33d5104c90faf09b1edbee5d87ed835c76ec302ec8d22a43bb6d1e28061a18be7752785420a8982d3d4d0f9a31a3d27e0e9ac86b12a628b74c0d830b1aec85d0
+GCD = 10
+
+A = f60d47cc5233fbdce987536ca2686e23ad5bbd1309a911b565a95d467ba756bd91bd1976844272581dfded42f9380cf3be29a19eb6b78172e5a4264578b9466c3a04499ab8f84f817b4e5a287b91d1621df8cad01d291ad14f93b3e33d7a8d54f6d2fe0db966a4ecbf06ece7af95487bc1bdc65b4314d333586027137969527f
+B = 24fa64544f165b1e9d5ae66e597cc2e1da96090c3ff7b183922f161aca617acff7b4069dc0086f47cfa392fa861f1e34d0f4192e18ca5167f647cf55521a97dcb5010c077f41053035deddd2bd36d6b13b8bbdb771748187bfb71a45d4fd6b3c2890db6b52fe6617b945ba9e67866daeb07e536946defc0d17565bd866e5c054
+GCD = 1
+
+A = fdd7ac0c47888486c4b66d071d1a6e71a3b05bd869d57c145005d77a716bc9aa0c6eeffa143149b7a2d811f7e23f7c6288c4e791538e58b10c3d2b4ac8388d41ad5811d51ec8eee49ba3d66fffc683ad7fb397f39cfb6d387e7ed515775e43a004a9aaadfa9cf48c176af7af194c40d80b10919b3c7a56c14bf000528521c9df
+B = 5230bd51b8d7fbd6e59118e74087b4f8c3276bbc4ba969d5177b9e7e0819f396805dc6ea27ae46bcd84a76f885f9f0bd2ca30e9406bfdee2add7d7d6df07d0dc92553b699c485c024a8bc801fbc6da38f638680d8481b7ecf30b331f1eb84ca5e62044f5f4016a80858d8509f760bd7ab2759f3a082ceff15a31a3b229e81e45
+GCD = 1
+
+A = ea3d6fa16c9bab8a046418c590653e2f4702f7e6786c8abadd9af39b277c3176019a7ce4c4c34ed0981d40e9d7b255d5ab4f5d5d143f1339056b860bcb0d81109a818a3830b583f1e81f69b8733607b529a6b98db8ca02e91caa3726cb7531c895ee70bb1b955561cf36f47d9d70907839990cd63db1b4f141879fbb651e605
+B = 7dc4f9578148627746bed3b58209dfdc70352e66ea15bee8c25ff6b9d63b9546df5dad862e2b852d4275bd89d76779bcfb15037a70cd3fa4587f93ae00e2df7d46963cfe378da3ef591fb85178feef5f14a9bf0c151a91f1c4027c6a4b64169ec2164ec5a75d080b1dc3b93fc0ea6c3560cd4d65911919562e6e57aa8047d2
+GCD = 1
+
+A = becdd98079097d92ad6c1a3cc710d15bc504fef0c2b94fc2db76f046f7929d3f7b8c7f5b5c716bb13624f6971b0cdf4a9eb92e6a8ed9b4d67d12a3f16d21bdd9dfa7524a313962562fce2a75c120cd7f891f00bac63cd1f2bff4b4ca2898e25af28d6707a1736abc38025eb2c165f5d652fb589c0f8892e38550174f0ab37ce0
+B = be6ea38ef2cdc9e3f32b824806c6499012b3d2458869879659e27dd229f378b0cbaf8c2d7728143d8a75a080cec0059515d2446bb47d1c74a53fabaca5e922dc78e31c15bc0a667351fa7349cc305d9c734f7f45e86991b6a739f9442aeca3ba6ce5daad23b3567fedf7eddeec804141ca1a08121dc2af1b6d86f7059ca035d7
+GCD = 1
+
+A = ee263ee7997be5793160a715a52f7a6fa80ada06c3cd5f7430706aeb8dd6a3cd3c9b00c8b881ec2cecb0bd6c786dc13fa2f8cdf876376d3d753574b891b01394a5051fdfed5bf319872c303b8077d6fe74e68bdbae86beed1422bbd6cefab10a0f2aa6cd0ed54e6c2e463b5949f14b22185de87760dfce1d58ced45d5dfa9661
+B = f79ccfa144fcdab12f48015030608b3d0975f958fc4a706b8ad8388c5d81ea7f2b8225effe77fe44c79aea7a069fdc02554a205177a6ae2d9088c4e2a09393142d3a0d0e8fe2b87887c2feea4e86068f9672800f7b410c4752f13e33d028aa2ba6666d8e90f0c457bc1d8b4a17469278df25d5957833c83b410bc745c766c326
+GCD = 7
+
+A = -88c7db25489aac465d59fe9a5fb6f8505da0aa910573347d6050e3dadd0faec3f0f70d684ec05f8bf5d47c1a5c808c7bdf791dc30d67ff207a3feb452b3dd185eadaa36eedc5c30d146507d4a8ae3d11c357e54d6639aae4e1d9fb63476b972c9b5e622e797f22270570580b948f238685b84b7a05583266acc0660a2ebb9c09
+B = 9ce8bd067b47223bbcfac7e30a825eadd93b66981c7128d2af314fbf349a2f1565b06c78f1647fd98021b02e4c918a63d8fd078d7fd8561a7a455fb2fca54f550de365451f8457ed438e8b2f147d3fff8c713c42ca3402f5cb886dd1d945aa3e75c988dbda45b635b5177348fcd13641d7826bd341b1ee60de14779e06dc90e
+GCD = 1
+
+A = -6f8fa03b531890b883642bc43d866819780f3d1224aa5e978b9c488b0229d822d5c674d57997fa61a8baccb0bb195d5bf7032f16bd980348295081a5c2221fab862127d3c795b78fda305bf246ea8ccf0527a5351a2eef4e1d478a40dee7a6fec18ccbbea53477c2567f6748b2cbbf2384d628e17c9e920599cc031afef64b13
+B = 76b96251244dcd2b686fcd5d3461ee178e130a4299cfb16d184384442ad91fff5f95be7f65456d906045c3e39fe6aecc030ab944400f44511d9a8ff23d61dafa9714c66d22dd17fe98565bfe156bdc2d4cd3afa9c559163f71b736385f32a512fda979abe8fe642ab9cb121f8d5fe515b79c487c580dc8fdb62e512a5a54690
+GCD = 1
+
+A = -586fce64c6b5c25a93c8150d4f63022db044286130000ffb6b91b0b91bfc0472eaa5de3b4183b4c9017439327db990fefd1dd846bccccdb0122459b423de029edf26c02f69a6ba628dcde89a59a855eccd31f686a7d095125678d03428fae3ba1fae4f2c6ae3bf3bd6cbcb8586287a22f1d974a58fd4f77befb91be133c8dde9
+B = -e007d70c8c1bdbe3fea07a5212a1302296b25aca3082fe1f2f89863d3c410ac84bfd1ca443d45ed4596f778d1a980c18fb9df65b02221a888a5cf0f491a726b29bb94e9e281f9ed5d3f09894f47e6c1506e3ea60c41dfb684ee24f8b7d11820273d270b6ac2806aaaf43790bec020aa3c3f284003fd77b0eaa93502ae3672927
+GCD = 3
+
+A = -4a6bbbe091afdc8fc981b80a24502e5c278a97e71867a617af987b33e9db7dc24befd9534b95f5d38293e438ad711bc25292ca2addde293a47ace50c7b4b625f56cda9251574007a8e505e120e11c9b33ac00a9beb61cbcf5c35bc8dd67957509d9822be52ca1eac5360efe8822befdac45b90bb4b81def0b009091373dc1a4c
+B = 8c18f6202bc786f45563dd3820e17024bad5f0f7db57c49a0384f06e27fe939e6aa27a1213e013fd02a2347a678d554e349d5430df3474ee9494b8add34df811e09b55a275e9e770beebb9fa74c339dece5bcc83c28c35ab8e266ba4f922a21a3d8ae679c9957c45326d9d478eec1ae1662024caeb0e2b42c5c5980187819d22
+GCD = 2
+
+A = 8ace66a3caac6f8739d620c0d30ddde62d0a7404603f3a00a8cecdcaaca41883bdfb66bea0ee114653ade55b7cd0c99df6e0224b0e2c2375607bb432cf568f690823d7ac3223c30fba334590f214e6f7b97835d34a1ab2f9358bea39eb874b68016fe22f2b9e7498a98a85d73af5cebec080f8332055fb8fd71efd47b54809df
+B = -a3be0a142ddd03b2ebc4e0be41ca274d3728ff55ca24ec52c511ac69b613f4f79f13ac56e851fb6e5ff2ab377606a6e92ab9424797fcce761aa86129d7a7307c0b9b382e841e392919bb40a553f880a19a0308bc87f4a7779a613daec10f4e21184bf09348e8bba1ed2d3ec071e61f71fd0029d5be0d754771fb8ee9b935d183
+GCD = 1
+
+A = -ef169664cb3832164098e5ff6245ef3108d2345b35c4f4bb84a61c8ee50011e1afb546025697b9e465802aaec737a0e0924de165d6bac7c6eb5b0f784b39db787c807de3ec8307b8a2e09317fd7b5bb5233f08b8e937685d9e28a2471e64ec1c9c4aa37b95225322f726649baee74281d15865f37a6c4ed98958fae347e084d0
+B = -9c8f59a568e6f7a8a6ce1f929c384a8d4b50f2911edec5947a295624db894608c7eab9718568c3331fcd9386b808a4a0317ad7235b9d9621441f25a14a77ff4cf34a39b19229dcd567b93de080e0ca5f07bd80cf4ecd21d977e4155174173900ee7623f884127422a50d07751c2e0e86c2cfd8e559d3ac39a26185fc27bba81b
+GCD = 1
+
+A = a757fd1000add34d9fea80c97bb42033b6379a7145872a8b53378b50b008b9f9606eeabd49a6bdf569193826f939c308a8de666ee3590dfa68c4067baca2520bdea3507ee2e6ca9278de9ad1c06d14e93a1e4fdb83336f0b492dff110ff09f4ce792df83198787b863dbfdb6b55f7683c407e902b2c5030dca9f018e6de58317
+B = -aa4453270d7de2c15d0014f2b5ce3a20a6a94e4be615c2612f234691ff65652411549c7ee2059bb3f7bd38578bf946b24bce9bba9f2a11e1311c9d18cffcc0cddf97b3d96fa7493da0a19732f0a448d26ed96ae6c0eb0ca8a97d0d73d5cd960e5ea6bc9898e75b7034a4e7bf8b1dc5f8cc971cee2348ae56980e2a6af070b82d
+GCD = 5
+
+A = -3936005e48e2e5751c1d58e5aa27cea790aa37d7d1673a8c276d4b9fadb72745a7cd4e707e3e191dbfa9daa7c70c822f12adec3a881be0316da3dda3c4b023c83d60753ac8e80e3ae8cb8d496c1679c6ba22f3255f1c92fc82130a19a299e01843614d2e18286feb34b1e1ee5348b7f02f33dc95911ea823f9c4fe214d9e3f84
+B = -9c89c45a6f1433296800f17198c4b5f8289347a9d83979c8bbd8b25c510195d749ef038bad3e7e72c4a1462fd48ef576d2edbad0cb5f2e216ed334d0c28fdab2c9f7547a7fea358527c262448c000cb54c36bacf462d0bd4e9e3f351eb5aad6581be1827a6993bef936be9241a022026a587ce6ec9f04c599481936d68277c8b
+GCD = 1
+
+A = b2644a071759709d5ce0a75f3e131ac45aaafebc56a18150cd1840624b8b376cfabcd089b3e12d53e509545fe99d2f56f54b6c47ea1f5ff6123549854cf54bb88d7faa65079d0c41bf92241895f79b4fdabf0a20607b8a80259d49b19f8b3f72bac6a9a65e41ede7e544d644b2222a3290d4bbdedd3c44042258dfcd74992e75
+B = -9b0abb3cc92c14a2c421b13f2ccca25e76cb150128c00d5434b07e0446e5e76ea51355d327ccaca63775c204d0b80da9be66abe9ff04712993a11f1dfdf046b1892b55d8b692b874a4a699188e82b7f6a5226a2e2d522ab560f4790509467a394d56c8300eeef19fb84b93e0fb1618fa97eae99a2bd5999664089875d44a9c4
+GCD = 5
+
+A = -36faa2d37ca1461c0c7919635bfeba03e463d86ab6383bab074c3d4ccc8ff58ab2396bdf1f5eae19f4e271aeaf0b62f1892ec9eebef8d1727e509c18de87ab1a274bf1ab2307a9fd6948673fb4cc8cbc0f0faac3eb5f2c9448dd12e1c4ae3e28836289a858df5457899749cd12ff98909f39649bbe80300ecb022f1347ad09f2
+B = -3d6a8d671af688942f631223cb8b5fad99d5676ab9d2d9e8c36fe1d2907e44163faec6d12fc34d436e1d22bc2988152ed01f440fbdb2547bbf0febe861ea312458db342f0f8c4085bad13ffb3fcf8580573306d9045ac09ff4f65ed2eb31f55c134fca21d9e45fe922906aefca1e3f9574be1eca72bb75cc6eb1ca6aa1531514
+GCD = 2
+
+A = -712c4b770532abe82e0c34b78feca3b65d25d7154e69663d1bc4a3087cf109c1daa84519134e17bda04b77889f1e01342b2c62ae00ed65f87d1a82686ae9944a55a884ec26ef0bbffe89f446c4074f9e074d69eb2628a4479dd4c868aeba976ac95b0db3b615976fa779d10fbb651dccf164c04723f372a91c6d40d7ef2419af
+B = -37f489a682f08f94615c40207d6fb8a4ee0b93709427cf6cc078bb8cfba60d95628f70e88d2798726ea9d3d6ba8f00f29b4cd34398a650e2b5b5620f4b4693e2600310e91005db720a7b6f2b8fbb3b28a542cee58f1b2acb8c43a7607c1c0d944a0f675304995c3a761b6c5b3e2faf9af756affa32e499999236df6eb9785da4
+GCD = 1
+
+A = 4c9f2babe4428ac58e191c98a91f12240f4e682b0866a21756cbb4f6c8feecf4e9e1b0a9e04b1298474c8fa4910197b81972126110b07799f70f0c589a4be7c32f1a285386eb861d23e9c2a7ac35d26d95374438aa8c26700f6673157e6fae40a5f1d48b897a5c38e1fd31d2694aa82025afa747c8f05d422fd37044fafecf22
+B = d53d378df9e232a8c2027b6a292b68621756d4a58af602ac4d9806d5611b3b2177cdd436fee7acf3becbdf733e3de229c8a0e997ea77e7be225fbe6ece7a240255bed4d6ec2035defe1f8f3f7dba416e4521b962806e9653a5d5024dabf0515f0c5723313be1447b0ae2daa3c57d56a23967b3667951f6d3531c57a9b14e0311
+GCD = 1
+
+A = 36e12557c58d0f31c2b8f263daf1495ff8781663c4100e1d379bcff380e1bb0f5a7b8f846371232dabb7af0d125f55c3f17a85df6c667274eb03268c3e2d8e1d5630aecbe12fbd5263f4a05a577c73914de8b54b38cfc03b3a252c7475982851a8989e2fe13250df59b0d085482f9788ffe0061468ee752cebc0ab024f4efce8
+B = -369c2c45787d4761f5c1eed121292f1a36f591fbdc44259002413a81b21da3b75c7505f61ebd061a0ec70bc21cdb18fac7e9262f48b94cbf34c6f9cde2a49dcbf31b2925dadfd688bb990d5b38e5d8c21eeccdd46f94ec82e2ab51fe053f829ab682a6a81eddb2a1bcfba0da8e052954e5757bb20f1959f614cbfffc2e0a0408
+GCD = 8
+
+A = f9de4ff75601ed4403ef42683bf28b12ef9580b0d17a26be539856cce68d65157ecc1bacac58c0f56902adf8cfc8bb123a4c8d9b9842ecfd42219794127d2d225e26c6b7c1ea6449bffc1f04657fb7ae89110d2c735c416790aa0a1c79b2ec082570111a52675df471c92ca246667a024d94946b564f3e6d5ab26a315bbdacb
+B = -21c901305699f787c2a1cd350b48a6af69e00203be480abcda412b0f04ec7a0d8e3033a5c3a06fe4a84c98f285685340cc3994d7de0e2988cef9a3107b322590af11b6b195846759f84216f74fa7d4f4e4b24862e390d6c79decfd14bbd20a4a7a4f0be8086abf23b5c9693274ce1ba5f21d8492b2a41bab277ffa0bc64a8d45
+GCD = 1
+
+A = c609b314fe68253016b123ecf683ddd1d2b7ce7f74cf94d55a352c87a14af98ba45ff8b7facaeacf46f4553cc2cb1cf6df4994d71ad8cfb42aecd8f4c39ab63f1eb9f902fcb5a3c06842595fd29908c517384377717cb9d2ef5634784d56cd45793a79675a5bbe7488b948e6b23c68e4b4d64d5ee42d62924cab5e3bf2ed8f63
+B = -b994ffcdb10fe09f1016a6fd3f01fc95a67d7b6f0d4912e0a13d83fcdefe7eb09f595ef412ec27a51bc31162e7d7895a4fb2df0678623d41e8bcfd48af11a0826c550994ed5bf99a98906e2e5122167ca81437ee1adad8fc39e788e5f1e235bf4b8bb339bb734db649469708b664aa1ad23b695d5c2fb3c653a75e0741ad0a9c
+GCD = 1
+
+A = -622458091a88b3cda0d712b9467753d67cc73893539188e5b70f139b0efd7b0576d2dcd432d79ca7807949de70e7845d35207b9316fa88feb97bf46068101dbf376b8dad46250f81227ff1162536d92e5dd7a24190cb9ffaf75bfaef468a329d003ec7b5a3df084dcbdfd043a782fbc5e6f524151968c645cd391adeacb4bce4
+B = 90ac0c595156d0efc2065153c04c36973ea281c937b9f07a365458996f6140125721cfa4d110a99665a19462718dd5aab8352732df3b3b1ea12f037512047a255c5478a7442313e1d1bee1a8a51b8123d8bce2e3d24af7c6b036e4bae872e983ae32c6ee555240cdcbe1b0de332f27785775e9e2707aad1e92b8ac8e0b09f7ef
+GCD = 1
+
+A = cfdf67331ceab5929d01231db019db73e4a8c8eaa74e8c238286ec9011a26fd94412493d45916692cf4da5a0af56c32892981ba8ff3a9cb982d3bc18b9b21d8a24a96089272bffb23663b5953ca213f2d6b1709ed875ece09a3e8f93fd3052b5c6cbc1f4750beeccba88b645348b6ba9ddec1850f1678e898bbb8c5568eec514
+B = 65c0ed69d499f9dd0526fb1651d0d0a5f6b034c6a0521b4cc855c1dc1b0901c9ef0308c44309c98b61a6a6ffc1e5c2709ab96a9046fa706a23fc55ce5c7bf26f11f31d40ef2be41e05d126d47a005e22c5689619da6676ebb5ace6256f84c3c8705812d91c3bfcaad090e2dda61f0e313697e8ca980663ed4f3db12e347307c9
+GCD = 1
+
+A = -446cd6ae72eb4ec610628fe06f993006505a5fd55cb9b3d03220c3dfc787c58497b54d7d67853355f937cd007b60b0db9e29d9b7437bf40f9f2dea504acaaf59081df03e06aa8ccf4dc96bcb8e1b7d9a02dbeaa242231f3ec2398f00ec939e50ca1f7a49327359b38fd9753ab128afb89024d2e7458ddd756ca1ca3c7c2c157d
+B = 702c4ddd30f22b192700493d415e840ed084e4eea8b06d9f030a3a13dc826930fa149456c2a07a3045e9e6adbbed5481fec5f69048778552ad8634b4c7695f1566cccb00a87bcb9c37d3262fabe85c4b4b08617c8b3c197e8284cf5b9d1b2b31469c58e5ce627c971125721113a4458bc88b8f722aaba7e1c4468fee55f66223
+GCD = 1
+
+A = -f25b9adeabc18c00087c3d9ac1ba29bd9f456179f19439abc6b79dc6d4e7bf0099228bd6528102d58f422dd9cec38a53efddf947c65b9f1082f755c9885a5ff3cc51fb3ef01d324720f322925dc486096a436d183937ec796e6ffdf06ae8dab810d2a6ab82f22ecc3eff597abbbbf0f2c85eb6da4f19ae0f97fe79848ac9b1c4
+B = -c26ab8e23136c8472c223085b77d96e069509be8c46b6ea1d280c8dc149d5bf53403661a3fc62a26282299a6a95de99620346831d3708b9e54ac4516a3bbb7ee63120eabe34ac22a2e021bef9affb3fdbb0bad54ce4758a72f861fcc8e6dd76678bc1e065e486540060f45fd7421d20afcb773ee60be274f4799f15d2ffb17f5
+GCD = 1
+
+A = 9f86c812fba442b45835c1917d6d016fd1f2e42f99ac6247710062e7fb518f3b934ae53194056e2f96d5c6ef7743c018edd670fb8197075da89acd24fff142abf3dd7ed108a2b313fc256b92d0d70097523e2b04e9a5e0973eb47577b38f00435e959370ad27c606996810c342236541beec7fec87c4c223f911ee5cb17e7ad5
+B = -ecb9187dc6b65835da358c0c754038f01e8ce809c97a4abeddebd64140701efc49cb28d15ff12bb9a600e5ec53a1c6e0c60f19053199cb13735ea89d70d07bfb2a3b8b7e02276fa3d47128640bb8587194aa561202c2cf42dc1786c5e01eaae83f528ef05646fc2fffe3d6441c52685fb5b28ad3a2a7e4510249e48ac217fac
+GCD = 1
+
+A = 41a2b641be79fa1b0151e2e53fe9f6d8e5fd639560469ae5ebcbe99d03503e39373d9268d66bd409f8e2c11273a01b21845f62a2c9868580ae6c438ff652af751c3c566ee81b68f04c59596739e379314c2cda2301c750305d475bfc3f53d3eee42ec44ad5c379e07f78ba6a51bed45046e6c41948640777d6fff0dc0c28385d
+B = 8f587b1ed591f3ac3b933e9b3f9075179ed0ac2b03b68453f9c4b1609accf1c5fafc1e8f557b8ee2fe22b448e84383a827c543c9bc797be1be63f12e010dd920e51ea90c9a4e37052b4323d3e3359e7e9389e6ddea8d473d56a43a4cc35ac271f194f433532ba2224fffefefebb0d119b51d5edb1e0c9cd9aff638fff1cfc1c2
+GCD = 3
+
+A = 293e308448427a12bc1772677114178effcfd956bb5d1ba9b922ee4c2ceb16b288530f590a0c33bdf25f4f6cd1a248a036416ebabfe9308b3dac099ff08bf69c0cb0e605c2550ce22739cd9982ba2d0ec3e130f9ae8fd58cc51ce22eead7307b7e3893769d6d5d39613cbd93a9681c3c75996400a1a92d7342e0fa36aa25c155
+B = 48bb591fe3a0c1fd8a0c59cdaf40002ff1d6c4656231572f9db0d98ecbf188633f8a71e0f74080b8dd77c87682f1052f801ff7cadf96565592eeb5bb7ae2c0886d7c2d66076a3ec1188e0bc4c432d5455ea96a6f594a696f0ebc653996832d7026e20c8823586283c6e653a93331015ec30adb729d370abca86476046d022f32
+GCD = 1
+
+A = ce29b2c76a641325a6af0cfaf93c18aabb3d474492cb11f2e05f0d22d84d794743ed6c6ca849740d17fe860db021bc75912a2449a8ce05d547bdf9a28d00dd5ef51cd529137a6f01ca8df3a09c4a3051b189b953a47fed4144c0361748ebdecba64e9e2503810ac8b67b919255d335bab5774d0ab9c0fe9410d43ca50f7e2c1a
+B = 4c3838c0b0163aaecccb2c3da074706220251492da156e040be2582a4824f389b5c6f04a326171e751aa52e9b594b6e6c4a75d919fcba7d540f96d7829302ddaf1bbe7c88715ecbf1db69fb78fe83795925fb9cd9b33e0102427d11cf701aab0ea634e4bef64d3fb09163dbfb60758967b5bf8526248db8409a64cbc180b3f24
+GCD = 2
+
+A = e3db115dc52436e29742b36bedf792a49e109027656d5f4f91907ae46e733af311c55955d1d11f3a84652cc924914438fe264b7cbc0b59b578abb22133d1b04b7245d9759b7053f8bdcc88c153101257b48c82b80e142460bef44c53468d01c7ab5aecf858cadc260a86798f52c3e6124e15d174060effec8378a9d0919d4195
+B = -a29270d84dce9c86f3e984b9cc64a4b2f9a81b730e096213aa9bcab5c860a11bcc6dd9d5b704b66216f6d2b592923bd3e2a38e45343f056c454691bad5cac60567988a06b37b1c2d0a13c7499d6ba06d35d55dfc55b10f7a57f5c4454084f615a9efbcf50d4f0168594ea1611fa4743507ab74c2790e3e93ae7f241c9e4dfac6
+GCD = 1
+
+A = 68705aca194a1c14067ff1e7edfca3bab113a9010d0d8e160099158059939e2eeaa219f854c20bd7616678be2d8bc823a8e76d411e02d3a19ad73c4f573f7146edfe86198ede377a77dc2ce409cb13fe8579b9576e83d7a2b36aed2acdc6ebbe8b298863c07e715c2b1a08fd8ccaea9996408214e59d751cd3d5be6151e8de86
+B = a335c8f59a8de3e76d3069a12393e7265ce88906595022395aef8c95aa5c376395affe55dfbca98e486c4a076715d971bc1407fb3bd66ca7b17a85a4e9a576ee0b3e0b1e21eeee1075ef98d8c9f02aae5cd2710e4f9c6b34f356b4cdec3079defcefb9b959154af09cd084eca6747f71c27ef620df564e53d4979658dd467daa
+GCD = 2
+
+A = ef3db775502b10227df44494c88a3bc0a16cddbc3cb9cedfcf803b327ce6f1885f2baa253d8e2fd2e2e0d19a1c66aafcbc8d9cb6be72d2669e9ea6f15290336bba5e907d5a21c429bdd9b71321989ebbc3e69241afa842fed3999bdd8801a6970c2cf88461d2f26245864fe8efe07f6df8eae87896e06d82daf1264fe86c30
+B = -7e7d5236ff38b82b0d9daa6bb46f3734eb89420a1dad401d2f827eb617f6b1df22f8130631b27301c3b5d368f36a4011127b49b36d2c6f40761de4c48ebaa8e3cb31e418b8d8f4641bb74dc970addd1d915ba8b5b590c4689ee50a17ee854089135a30b61aefe55b2cda7832ff4db48faa526db20ee33f4e446e8250984cec58
+GCD = 8
+
+A = 8e20eb25451d35c3df5b9fd6b02f5cfbc354c4a9f3fc497daa9b13f99bbf710fac1fd0190ba8970dc527f12de3471eeedc6fe09768ce1f8aebc7db6af9a602219b466416e5332b224813d7c98f9ec93061a1b1068fc539c99f0f7053f56e5e518e17ea72069bbf9d45433e7c3f1d36bc51e9c75ed82c547f8ef25f4cea427256
+B = 8ea1a51d0b934fd8eafc5c8c086fd063cf535508897a58502b094eeb0dcfc1f1e2fb441c77ef5110a68e1ef7d439f862be2cbc9f34c05d4ffeccd0276915bceef3bd7939a8fcf170b4769797d4f0f0cdb59667b3831e3769fc1546d17c5e40865af2db0267b3c4459469bac401be53a66432104f944bc45aca942837fcd96a79
+GCD = 1
+
+A = -88415b7af7366fc9276af133f99664f53c1d3148f76f383ef26ceeeed5cbe2af67fd4585bbb4a50fa2d300306273dfb0d286e089dbe594114729ff3b8c882584a3aac44c574de29aefd99bb55b51a6564054cd17f3d3cff5986b6d3371c09272a346feb83abf175169e9b6037f1d73985d67cbace64047fb022bd3dc1c0286e
+B = 3714e6ba7c0f40e3e0f6094a7c6249a348b6e7136e62b5628c5836b3ac992537b32107b3e030c35f58c1a26f18e4162649086f964cca81d86b285dba0c0589218c6bd4b146ae39a2e0a13b13c9ac6398864d773793c17c7da79af99f0bf041316fa52bf144bd1b2ac05d5d10361a26e958894c5993434980793fe8a3c2711177
+GCD = 1
+
+A = -8838d92feb6e074703bf74e06da5d8126e8825829ca69f2dd6ee927aff1dc4e5bfcda527cd5580b70f93d4941b072a982e7c8d82cbe7cd835d251b4a933389ceb23488d0701309e461047532b1be5582e3452e9fc9f1dc13fa524cca55a07475c7f066460b1d15ffc460b1d05e9369a3c58441c47e3e6410a45d784bc50a2d25
+B = d60720d0064eefb830e29068116dc7a7998d1b4994fd8263ba71038f20bc0833e4fb84e910ab5038d0028a1047b5f52862f3a68285638555e5a832ea452332f59af9a65f4c23a708957a971ba99213c02c68d49c93d359a172ba322991a96644fa3a565864efb6f918f58ea9274bd7c323197c4b1f42534b2a463a713dc3e30d
+GCD = 1
+
+A = -7ec8fbb84c65f5984f09336f539ac478469007c2adad8298fc2ec0ab01e666a1fd16fd8ecfa4c5b599a814124c9101bb399bd4fa8e79c43ad6f4b03275610e7742eae7a84f4307b90fdf8e07d8b66dcce539363d290ae6108127e1e2edf3ab7363785b7c6302a97ab7e3cb4b9f8f238a876138aec4ee85d28323f0a5ed569895
+B = cab41f81103882d4fca8d8fd1fde614714a75f6679709e0d40a1d4c91457b1d5ca423b683497a40d1a34575bfb5d9693e6d6cd12d1a4c318a7bf5c74536afa8579851868b0e6fca83490b51510c7c34f67444a0ddfaebe17f0e71d0ac81a62b540ae92732217f00328398b998caae43d814bc96890ea34ccbfb08e01871af032
+GCD = 1
+
+A = -c53b352d778e0d58b7ddb5078252c63a1b00102aefb8747616cc4ea2ce7f251a2a462c19a27c4e4c22e3c8201b4ab47a134b2522fe1e8a74875218a8e00d3ab7b01184fd28d8303ec91e00ce4ca5eb2f53f92624f755d5af462ea78f22929326fc2e256355a04628593fdaaedbf3d4d37dbde52402d069e82321e35c7d207a9e
+B = -17e17759929d0c4cb6340adf3366c3a3428869030a30aa7ac0e6d9fccf28db759802e428e306ace4650ca7b3b852f57c76f8141f0d613da42854380307c740ef45c349efab065b1dc242542549d563228c96bae39f9b9740a552488cd5e5c0e97791e803fbbf5ae0311b69080b3e1dd5cb4746ffe88a56428f932edbf6d65000
+GCD = 2
+
+A = -fad714585a9eaafaa41673c097fefc2be2a86023a4cf0b9434f04b162e3483940ba51c6dfcebb20c8297b40747ca43a6812ef6d5cfa1f25babb2d70be10fce00c96f2104e196ff17b4323677ad68b1e3b6c2c48862c1d847055a875bae92a2e5048ac7fcb6b541e2ed7ce445933637361b07f56476c7b678ea89e584122d89cd
+B = f08499f81ebdd02ce09ad4017a8a812c45fc90740beb4554001ac94f26fb16d29fd480181b5c56ccff243641404c214c21a9e40e6bb8f0e772b510c35ea6643cc1e4743929d8c31337530f10e75e2574c951479b0dbd3b14c74b335ee52a5c95edacf7e2e66b31972e4390b5bd024ea1364042f587f67e33718bc382dcf2c272
+GCD = 1
+
+A = -9002d61ef0fce955f86b86ea536c9c229f231982066870ac4aa5ff171ccba06c348f0a69a2664a77c15aee435cf9f68d9739e05b2361621b554b5776ba27b318d1aa08e74d0e37215a7f5b41e087dc829159a4e981ef24c9c840e964467fdb377137161edaa973016f5065a63406eacc8005f597e5682a6c992ff5182f88e00b
+B = -c346d1060e6565759884b97667c721eedc9f9ab33dfbbd0786ef718975d018036491c39437c4fd118106afeed1e71120130f36b88f3b3617965101cc4135edeb5889471de4534a5ea6cee903c0c15cd05075a6afba6d9c32e35a64beb8a6e71edd2191a8ac3ca2d3c5bc3052cdb3cf100ed0d204b1ec6b96ee2eee332977ee13
+GCD = 1
+
+A = -af58d877f64be3057544f5b0776f607fea0e7c70bff5e6a6dc50ab74eeb9e5d1633ba8223bf0f736d648414bf79ff88602179d0485a0393e61c861024d68bc4199cbfc4d8606171007694a5ab143d437596afc7e0acee003572894ab5c001c97e8875304d1091ad3caa6e6972d19aea9f56513f094884dbdb66c78c087e5623e
+B = c755d5bf3bfa7a76018b546a6f6e0a5362e814a24ac1bb357cafa4a755af652a8501dd32da6e4b9094c332597d9b7c4645fe611fff3603af09b8f46fd1333f499f2005227f50421c0522b1f8740db2c99981d2074da45da96df90abefbe8352dab79f16c6517b3b91fa2e1cddb2724fc9a5725b4b1f9180b2d4cc5699e84ef28
+GCD = 2
+
+A = a7a1384cd960e5b6bf2c38a1426f29dc375d71679a47a82c24ea9273019d0703c36578c278db2589338187603a7223ce88a66c255dbda01182eac3ef822db7753442ce6bb9850e3fadc1e56c6ca8d4088df110a8c265ede7ff1905ef67ea22179accba4415bc767d84bc6c698b570301170e30f34e3e05a96b9d08bb586756bb
+B = 3de72605eb4cdc5661296da8ad8c2b01cca8501ce27e88f79d3f1c167750232e67d96071ff87d22f3271e8322c25dc13075d17512646cf47a052a65fa23cab88e979a913c5da3a18f4c271c9a36704396a523366747f4ec19700b19ba0d93dbfcdac07c861c264aa6ef86dd4ec52959781cdcd49ab9eda5bebfad52797b6cb03
+GCD = 1
+
+A = 5a6b2996b36728bb3ddd2434b437221563431b8bbe8064edd928fb7bb3e8801289f9cc6eb21a29f93e60b60d230eaea10a779a29d0012778f3062a2cf7e784f3a90335baf280ca5b7bf13b79bdd9af79b7406aa3d6e67ada7acaae7e368436be287dbba7c836997311d9dcc299d50ee7d5ed7079c81629f5de94b658ae201d66
+B = -a2ee1abb1f1afbb77a5221bd2b9e40a673d4af94c8645ee93040d5d8c22bbcb706fe2ac8f93f3a9e4023b1efa3e042f45dfb66a3b870093b758f420f098f4d30cb3dc3d9a0eb0b5a3be94806bf67f6be765ea942d7e7cb81d9006701bd7df79e150380eedefcf64a288764c520746e3c551aa330b7728d38ced63405f45f9d5a
+GCD = a
+
+A = 56c31f5c365fa85f77425798ec6dec5427cb977810132bc981ac7850e6beb92155db0d1cec9310de3595839b38fc0110e4fffd893491940cd5c97b27f5c4fc74395f41f16f3c253e5a1e16a1afafc830afff0dcc32ad5fb6e7d9839289b84a52e83abd1f0059a24f3384095639779bdfb43f8fb07e00677681e8da7b1f4069cb
+B = -1fced12e2dc5d274a643fc6564f8519d0660319f233b11217a0e4afa3defd37ace2c52366cb54157e22ad90baadf3f7816c27fa5bc64fc8488ddb0a6094e2cbaaa33d1042732240bc16ed1f52c0cbed980833c0bf3a17a23c40cdba93cdbeeb3de5408bd5ca83fdbe429dda40ac400a773099f5c23b557396df242b108755393
+GCD = 3
+
+A = -6449a272693920f5f5314a1dcd4f5024d563ddcba9b0c6792b5fa9af022531fab83ccd53f84e051407b916dfe63d14d886fdf2b678cf0b3cdb1842a4add6d3f3e5b4778242552b1f56835837023889376f8408bd5c5253a2179d6c6baab9a20a7dafc4984d866554527ff759dd07a7b43dbea15710af4395c55a3fe8eb50defb
+B = 8f5428adff69f073b36fdc029c97235139ff73165ca54ecdb64e5ce0b184928820280efc568a58027af679816e0b76ba3b2994048ef41f85f067b3274ba53aab9bb832ad6c2a5e9e9cc9f38451f2652047a3160f2d058f24e9534589d8854a1b5a69d05abd7aec914ca8a840ce50e83e3436b983ab9417c7bbdd91e0f8f53a1f
+GCD = 1
+
+A = 56769910f83bbbcc7d1b084886925ab19de23bea05ef03a6df1e5bde64f636f71f379b51d5bb550466bafa2141c60c28e3030334b66bdf36e10e7b04ad4941bdcaee06832cc3cf29bd4e1ac3e1b4d3e6f90861dbd692ab90ed6bea34eace1e288a157bb7f7bacf16a28e65de0b2155593d5cb249315e391fcbf03c0e5e0255e9
+B = -f3f2a9e3e20f3685a5c0498e90e0bcf8f6d21f9f0770b389e4a0aeb6884233f8608f0e1e89b5f88ca5bf82eb3fa2905d41fd7b2e77b8a14794230fe5503544f72b34836786aae1093806575c9815d3bf48b156a32c1f4133c7af111d6a8aa6a82d0af3c1d8812ef95784c739ada1d3817cf455572c6bf97ea4156eaaa91abe7f
+GCD = 1
+
+A = 597f0f07fb775416fd2ac373adc1f535a73e683592209c5730c552e4245b1014bfd57aec664c3615aee83322da08157a8b9844bbf1febabdb641609c9ec30e75886d8d35cddee470dd11c2d28cac824a9a4afe67cd70b447d79bafc72e9f3d03e16e8a4a79d1f64f03afc76d18a7ab311d84fb39f9f8eefc01341c7bccded8d8
+B = -b8f58a904eeca1290ba928fec61954d25d74b6085a2579f0f28db13b8da45b5f47e97dfb945be9ac7abfc16ac840193e1246dd8b336846687ac160cb8fee0bb5be52b08560ef17d0ec60830ecfc6612267523a21e63920ace919f157057f8a818c7998bec96fd23def2b7eb7a3306fa05491cedda916048b9f6f6a8e9b8b49b8
+GCD = 8
+
+A = -4e4ed189f9fa439ab2ba8aebecf8686fa3ecd3363299be220f768324da1da45bd4b546b332819d7e737c6ccb2ae67b62aab35a7b51951ccca610c5e500ba82d71e4c27e8889c14a2027ca435fb2d659816ef1b14d825640e2883bf4042651b64a9ab52dbfc1b1e4e9c2245592509a704af25548441c58c6ac1215e374b751554
+B = -6913ac48a89202c3cbe2c8b49a8111f647c94027131e9afdc6a89e7eda92277a48a9b3e54ce84e9e960974bd6fdd56e975d4ad6929bd2ac6f5d2f940ba386601bf4396c6518592793626eba7bbd69c750b62066ba24c14791482cd85585b3dd6cff05fb886812a6ad04a885648b84a7bc797c037c3bff824ae70ee549da439c3
+GCD = 1
+
+A = d30a756c61c77555743af4495300e4e6d238fd301120d90d56f51f35ec9b8b8d1011e73697147706cb1889f08e967addc7a5f413354d5dcdd687637b05e2fefbc702f4b845981a32102613cbce1eaf8c9436698cccdc0196f7a96f10fd16720e0b74fe0eee502306e853f390947ddca4bed09ee113a71c3a24b9b5214a5cfd8
+B = f63b6015c911a67e83cf82240382f0e2d0a256963a272cb660223b21ee2e7df5d01996891703f28621e174d46bb8555716696d077b276245eb794fd74c828f5e36a15aa531ad3277ba431bbe8407df764b84dc49570126769a273793c8767552d599058b267ce84b66ec253d7858f6cdbf9e370ad6705b58f1bb4959a684cebd
+GCD = 1
+
+A = -c15c041370465e4a08caccb78b8b41d0f43d5733db1353b9731498b585fd7bea844bd554200299e188397527589cf0698eff4d2c51c9c317475f8b46e8604ac265cd602af23127698b8140e57698642e18ecc1920ca29a94a9ccd6bc3ce51a3c91c88af16bdfaba141b65e04389018e64636a4dc2b15cc7f338025d76dd87139
+B = e5f7b0c94ab73465ab4cf4c44e5cee16d385b4a1d59aa56f5242c84e5dcd6930d82bcbf187c72914cf60f825e34e59f57769eb706c6ff8e6e2f054fdc28e0d37c4fe7b1fa7b30458fe9ef0667af0a4041771cdd39310c1db2b79bb05bb448a369393fea7aaa05d304d6fb0bdaba6452a32e4a2c37009bc1b7f6a39f5e81c594b
+GCD = 1
+
+A = -651387ccbeeaddebf4aeb2738580b7cd0b7ffc6327b892bf8eb18b7a5ef497add11e39d77c06bc58164eff68f1490d0cc86c1704688841d3ee317c3a0d4e2f620a15d03b0dbe2f0c72a685e318a2f65a82ecec37982d45a69ffaa3b88efa3ab9069af410c16c051448c91c70b7d51e0411ecdf8ed61cda37aa73228400c4ca57
+B = -a46a61c66f1bfda295bc7532d738c34f2c036693c36cc5abc78b5a995ef3ab607e3567175b267e9df3da7498ccde152d260b4843dbaee33f801913f4c1e4b3e11b26885f07c8e979036ee114a9891764121bb7ac16ab430ec69c90acb02ade4f1268e5a2d9153671d73b7a85288a2128cd996f271eb0c797c7177a694d263a9c
+GCD = 1
+
+A = -8f8f2796f50c933d285b375902daef82016b3ff9026f7f29f8bab182e389d596c50f1ea4dbc81b3c8e1628c22fa14dd05ddbf01c423e4c4316e8df7950789ef689bbc07df303261f615b6e14439e767f36c0b03532ce0d434ba3c8c710f1d82ed640fc29e12a81c9e296d820e8e15939578021ed764e63461c11d36a5ef95d06
+B = f580460776c0734ce1235fe588e6cbfbaf02796c168bae6123a3949635e7921225951a44edd7dc7bdb03b5b58cbcf09e13ecf551a8e8c9adc861907a141741c345001a1fc426c4bb44fb2eed20fc7a9fe4df89b0e4c6c243574295abea72418b3e355ead386d0a879c402ea9c9de436558ef19c0df933f5f144864a3cdc236a
+GCD = 2
+
+A = 537ad39fc0c1910ed2a9986119aafe18d391fcfe045b90c45332c28eb8e32e7208c7e7531878455070a4e127bc97c5a1cd849e419f26387436306ce27331e9537253672bf1b66c171946008ed4b263da308343376842f0162bc728143c9aa4768dc89d3fc9b966a5bf44ff5b3638913d8ad299dbd65e7b64c8803b07f00c8ef7
+B = -cdfc498c772846431e47ad9ada196bfdcdf9d3c13ff1f45dd5dccc22d99d66d7dd2641db228c8c0e9ae4c8a2746c7de8e2b54031cfa49e3f8f267e992f4daa9b9134a2f59a2bfb3833a37df0771e7f842f16c651674772474193ccc190cf5c43d966b6628d0b1bbf18b1ff7e7ffe43fd3acf5a89a9192b3407fbbd7d42e47977
+GCD = 1
+
+A = 8231d42ab0bedba1be0dbe324687887f5315da824a1a305544e96f79386fb2ff2d5ada46cee48a3a807bb0694d560cbef9075b0bd100b425105c6806d4edce46245f665f4b10296d7cdf050d1b0d72c3c78b0342ff65e83d7f5ea009e2e0ee2e6435589157ea7b20e3b06e56403dfc01252fc96781b3adbb2945a0b8c8ad9f53
+B = -9daf6408da191228588b602f6415023d2c87bda4c0ada5d2c4ea6becbe1821b32c47c30a572de5e8062db0ab79353773c2653acacf11fbae6208cab76b32b617a03698bbd5e5507efff99b45c92b0b0a7d711b33c08f9f2b152728ee9923b66a66e975ccbf1f7e47cabdc6fa2a0c9b4586b5d7f1d637bbac86d3c77ffa026b20
+GCD = 17
+
+A = -e4f6d805ce00095e90efa2be79ec696ebb3d96571ace17d324bd40df2000613850fe7d84ade95554011d20c5bd68005829a424c8cacba19a95c103f418a3e591fbd2373b27c4b4d783dae73e49c5ab9cdaebe4cae03d59312be770f1194f20471e7a827f0f2b6ad3b58745fe028a4b07bda1baf921543a0d42eef5e12d9a9451
+B = -a3e22d08c1376041d77aaa96e13f7b3c0d56ca03f31fcb8ffc1488fbb0fbec1df6aa037f4ab38f4c0e9f5cff9b03e26960c59d4a129a3fe6e843930ddfed306bc682bd3aa339772796af03f4ced712f3e2cee42014400d9ae489bff652ed17fba4bfbf8ce878844f53ed0b2ddb8bca0b65e430cf8c56986e894daeda72413392
+GCD = 1
+
+A = fae2388a30cad3c7e3b8a62dabb36b368c9f17cd435c382eba3f67aa099f09e2e57beaebde41076f92edc26deba0fc29cacf23b1281c2022f8827029d5f49588ca023c681f59e46d81cf29173eab78f379a8039292900444fbc7053b91cbe261cede83899b644256f44b2ff67fc94347f997be18d22be4505977bf71609d8c99
+B = 6c693c8fde5c8db701685ff0c4432efdec803fbbb092d2b3fafecde614754433a79b24d2176f69b31f04cb8a732137663bbaeeaa1f7907d5d838643fa7d257f3e801565cc90bb4aa9dfb17434f06f66972b04695e51c759a494bb91de0310621bd8ee22843b0d7598afbeef526c3cab503a059b727cd8e73eb5ae1a0efb13fe6
+GCD = 1
+
+A = -cab880fd1d9a277033a0b75d7f622e39a97b02cb21187ceadf0a1182e803d5480d00b991507ed14a67ed29a6d9846df8bb8f9a810f47364a84f8ba0775b7989dae071765ce68630bbfe15ebe0a9f0943ff799b31813c5876c3b6326a9cfc0facb79ea744468545c64d8e69ad40314d6145300c1a0ed7e31752d210b3aa3ed96a
+B = 6a5ae64e8ebce1565aa6b1f5b7552bfc57f546a5b7e30455affd28937f0ef1df1d033acb141db66b1e3b9bb11fadc685066c5bc08477a259246821e2ca3c3c91477dc251076267c4b34b48cf92d7dfe527f353471b97c81dcdd9a5e8b1f96f0fea1b5c64bbf2f81aafd249707c1253dca6f9ce585b2a7f7ab4dd537c5be3fa5
+GCD = 1
+
+A = -847868c03353406e954996143fb4bcbfc316b0d0228f91c6672ce59ffbc924d9cd10e657cbc1ac96f2533fb916a17d94d03b921dbf5266e8f8ed5c83c6fb9088ab84e0d09e35a59987e7718722c360d6cec26fa5067828237f03bdcbfe1be1aadf5877d646bbce112c4c57a7a26abd66e8239a83800a6b56042da5ee3333b7bb
+B = 88d24a64f3cab2699b3e3f436d0aacf75ef5efc3cc469897e4a9ce779c68510fa5f84bf452a2c70c750ee37e7128cc28f94aa7ea4101b5db7bfe13bfb9c1d477ced4791056746aefaa30b4c93bb732c95572a0295d5b6c69afb500e0e1e2706c16b400cf963ea5998c8a825cc8905d63977b90432266030377fffd5750dfbc25
+GCD = 1
+
+A = -797ad41029e0da0f2ea54eb949b477878104f2d2c49e0b9326d39f25e9c7b4dbfa060573d67d355fdc46a9cf9d0a3c219939d8d241e7fe2b73cb2b31b8db3371767e67e333ce388620aaac2cb0ff5fe6cdd4b213d44ca6060e7713334cd833371e33e431c00ea3c4fb2217508d56698cde1766a21d5210c18a4b9929127ff1c3
+B = -ac6a8d9f8d3ec2ee29a66ec531dad42fc625fb91344ef5d2d4a289ebd3016d7da5cf1b3dce9124b9dd5e94d89d38ca1132c02cff9b6ed690d5979103154ea7d86ed9a361dda3b069f4a09130657d0a12e1fdda3f269945c9e9c511ec3b51edf1e65e38a9fa726af1b8a003f94978f5e1e7f905138b122f544766a3c4c5a74ab5
+GCD = 7
+
+A = -4fdfe88d116580526027975ff76568db661ccd5584927a22d120f845683eda279f7f06b24c62c7a3e1707bc67187619e444e0a9551c76e31de27c6d304a3f5dd55c092845b4e2542e54c40af56dd94affc2a3ac70eec42f7e76d44e9b6b1ff7842f7510087fc6b48ad66a5820524f362c44d91c4ebad2a41c5537c64cd9d575f
+B = -e11927492b6d39e92b1d90eeeeab66bd40437d6edace4be32cab78dd0bd42d77ddfa7a3a8f05e46aeec245b91131dc553256396579144fa5ecfa78c1e3ecfbd6ecaaaa40a912aa6fd7115f2517d7288788655c7913c7bcdb943a4a53939b1206611398eb6c359f60d0cda4aa2281401152622b98b2a8c1c506684c06f5d9109a
+GCD = 3
+
+A = -ad9a4a185754428770f6fb5f19daa979ff4ab1c0b2a04742cbdf2cea4be6a8ab7cf9205c461753f0e56bec314ff41eb6e681e56647a486fcf4d23e6140d5b841d5c62fa329d32b71b48a9fb558a180972a4de7be4f3ba83dc9c8649602c5529e3e3d46703092bc9a84d21ec0af7463b87d343651a63e4a34e63889fa7faac6a7
+B = -d76d738de8b47601e139667b36b52e40b425fe45cf28baa2156e8c93e8416d1425c99607efe2e97ac3a55431a1e3e611bec103f81983712e506dc33b65b9c101d3e662a32acb15ab5c421e1b8d2ae9fb81c4ef834d0d3dd53537a72e3ea94c3d70ab496fce31555077152960006e688771730aabd49e1891fa1a7abaf265721d
+GCD = 1
+
+A = ac83070c4d50c5bc45fb5511030770c99937f52f690b1c49871fbbeb71f31a4d0ae2ad43f1c7881a9472338d66c074875a2a2de4558a97f177da656a971c2968473c94b9f3299a7f4bf0de3b25e1cfe2a77a6cff91db65c98191027b59981a9d28408721f2fbff06e4023824ac5633db748049e52293f5cf91c2334b710eb7b0
+B = b1dafddfcd515fc86b29f138ba67f7370e729bbdab2c7c376a00ca9a8025c75e686f9cc6d5bad85ed6e9fefc670a5d48cb8f974d61f86ceecfc2fcd1ab4e1f96c74448541f8a59166c16b94df5a0b70b91c924ba587b71feead48ade625a5bbba996cdf326a2447d0dacf78bb273740e29aa230876c07ced7d9bc26fd51a955f
+GCD = 1
+
+A = ae247d4192f3a4b8b47a16d3864c2fbe49c5e7649ae2a184ac07726d85e0655860901200851bc38896ac68fae2f458dd407418b1382ff6c54fde4ffc25d52c7e0aed16140ab5bbac4ee3c098900d2f844a5fe5f14cc011f275701804d4ed65aff3adfb0e94f1c4b6154a4c3fb6003446b7a86ef71e196a6516cf05a93f195f77
+B = 5f0115ff2a4e71e3d6e78fcc7811e3e45f645cdcce2d384529f9e61397f527ccb17372f38881b485480de01091f9fcd2c552f9eef9b0880d7ec6357b4c1deaa40de9d501a0901e7f7165bd1b207d684f7873ad500aedfada464b2a8a3fc06e24c857e1ab41829274138c98fc28575b2f8270bc8f6145441e80d6f0d0c6637859
+GCD = 1
+
+A = -1c07bcdf9d2c645b8898d9304d9d0fed8289ad52ac993811218755cd2046dd374530588e8d89941e069cea4bafa695bc97c72029f6a8656ac164f26a42fcfe267e73cbd377a54cb97a716680374cdf3ffe246b4019f33784aea178c05d3e767a68572e8eed84fef6a6bdd3489ed542b25beae08b95380e5aa885b3c59829acb0
+B = -dbdcef7539b68c55b20fb50689c2aadb202b77b70597f14c4e21e24d79ca682c3ed0e1a7b3afea0edd6720deab786da11ab0f24e0402b1e3ee0261ca92ee3224affee837f60b8c95a5103cac40cc5fc6865a17804aefb3c89d403459f113f118857067b0d3a9df0a69780b3223178ec30f8963906b7941ecb515dcfb97e8826e
+GCD = 2
+
+A = -baddda78c2d2ba19eb82a3850eab8913085b31582a2832249eb6c287362e4c1a47793a03d879d479461f334ba3ae521530d493e0f3a47cff732178bac5e37b452ffa2f8376df8f82cfd3dc53e0648bbe2b7b357962712c0beffa061aed5741f8a51ff79c2275ade6b9c8f168a1f1a13c124843ec35349b9997a4fd144a030907
+B = -4636d310a5c1c442e3821a7cbba1d814a8a2ce7a97faeb79c7a540c57717b91bcb833cd72a8b5d5cfd0028baf655e3bd6315fc580841d26a1b0018d7f4121b2289979ca41b19791e867cb543bc8f9521bd4ee1b277940c9077afc1d467982e3bb03c9089611f02745199df542d5506b2d9a7131fd09685730685ba75ba695268
+GCD = 1
+
+A = 46baa49c2f7728048d9f5364575b62b2f63b7b10155cd73d7c5526996760603634e50221af5eb57b8025d93771dbc180d6d1eebda2b2b0a25b9755e1c401aca364e9a1e740e3d4b4bd14fb104d450c610dfbfdb11fcc0811d80846cb3b7e19c9c63474737e971e31dd55b6d24615d0c05a51e3efccb3c2dfe36f5b9438acf967
+B = -345016d699e4a527ff4e41f7b39bc28ed4f3a0b3683ae41027ca922610df60287bd05fd7010a5a0e3fcc393e8989b4274089e506b747cdee159fd9c2de53fd892dfff8f5c30b985c980568bb0d5db08a452a510acddddc3d69f1ed094e3dfa17155817c8854a2489d6f575a002375fb09465822932664913ea1bf4b642e0ddc7
+GCD = 1
+
+A = 523d9a78bb927c32264f235207e29d7cc7afbf3257c74421d1d29cd30e2868cca064ba01d256a04a2b6e36d8b9ecf8c4a08a966a9d3adf4404c3f4c780a39d539efb9699626f24fab7042aba81bb8d6a6b49ca08e0644efe3f3310e7ef582cbdffd6b33f873b9fdef3406d06278049458d2d600d47f3cbbcb909be2813f017f7
+B = -e323d7fed66a1c7067696ec71cc338c8eef4273988ca844ef32b2d699a281b795765b31c7eb9fc613567a8e369438892350a6c8dcc2c3031047edb1d09b12534099e3339a73676a225f3afb7fb9fa3f07f928abe09c01a9aa1f657226655935f30e8645c62476f75ce1f61ed3b7ccf0d1091b6e51a2b2a7ee2756a64b23b0a7a
+GCD = 1
+
+A = -65af147cba476771db1e57a7b371a81fe1eff3735c2beea08095e1900e23f7cb03ca9ec3482e8c09f5f82c5db5c787133df367687744e207c4e022463e474a48cd9c04a9781c1f70dfce111d2d7707b7fbf221e9dea7d873bb6ffcf53f336446ab03276e5a5e077bb61a89e3e789de2dc275dccbe56225851953a83f08d01e67
+B = 62a1cb36bd8be8f8f9158a598c93a34c1c4fd845cfc44c1c328e19260d855da650d01cc0f3ccc398fb8845ef488c588738775c1a1f7c8ab546f11e33724f590891a987d554bb6f349ac246a7d15a30157eadaae4556fa97fb038a74c0c67f0c4bb6236852838963dd1237ea5479b73a37fbba2b6baef816d3cecb75736155ee1
+GCD = 5
+
+A = -d58ab10de058b1c1807e694fb50834e4120c903660155dd34ec6c6138367cc5a93755f04e611e993194fa4f400a9eaeec637a184773a4e17564979eb47f1c34888a6ff6e2b2ccfb1451e89d8b622f82c8ee28152b9bc5905ebef33aacc9d20be76205f6c301ff68ffc93b1a6ac6a27ab5011bb0b8b41060011a70d2c40704ccf
+B = -db517c29a3977052e2a0cf6804ab1525f7b5fcf1edf40c1cf526756530e6c1079e594cb604e67ff387cf30098fc3c51e202c257387f19d8f1478ee9e2e9a69a50cc3361e4478fe3740cd6aaa221c8ea0f87f7252840a61e0289844d3c84f9f7a8c3c880283e8a22ad2bc2a9ae96547706b1e33c8c020e222e2707d4507ade472
+GCD = 1
+
+A = -7e18b8dbca30e7dc908e2acea77629c16739d2ed248ffca6cf89b0ec29fa910eb30109e314057bb1e7c3ad4655626ab7c3d8f6e1febe092e24d0f86d78b8e2ee953f7b46be1ebc5b5c72729ae2804d73cb84f02af042dfafaaed3fb9ce280549b278557ac502d6309ddc1ca8976b90416bd785547210c78d03f62b19060858da
+B = ce9b6409cce54edea5bd5c90732dff0347fbe948c75be56f4f636c5269ecd72be8fd269a1d35d0ed3f3d2d2069524f7dd24fe97f3233a2fa19d373e718896789e5423ad9043f801274e66978c2796d190e1fce24f3846711fea654326dd381314ca031bf41fe1d26ae73bc207128bcf67e380108ec09dd67c4a6b9b7a227ef08
+GCD = 26
+
+A = -c19a98626ed1ad7c06df22a846d15e0de0cc5cfb5fb2034fbcc05a42f2e5fb75b8ea200ed7a797fdeb50fbac99db28328e0e9bc621f0fe1f80adeee80ecc9ccd8fab9c3e68e871373ce4d271e7b0a2e106caee1226df33fe525e7e419f07a0c003114639a955007739b7ef399f9cc95974789c0aa364653ced2bf82cb4ca55
+B = e282d29832833a086fbbe98f43f257b401ef1aef702ae69da86a16dd148c7f1ad5e9ba5cba2efe61624e4388a275bd91603d64f841f2db1e957f012f08bafb448d45990edb35e9b45a35898a056f29ae9b8df98e276d5896acc3e0170ccf56f61f28d046ce6d80337706b9bff482cf1f50af881be29ad55144c61e50f60ceaf7
+GCD = f
+
+A = 1ba81942b49375a5dfc0cf3bd2767b333183b0b537432b937b939f792fc73694defce7c9f45b5359a8e096e296fa5cb6806d2dfe16fd0e2c1c3017b6bb8fe1cd42768db5dffe0be6b1a4bf4b3825db1f12792ae78c38fd3356d97dd668693b29a4f8508c7d791a754dfa64aa512afffdd8cb8d39fefbe4e1aa411040ee6ae64e
+B = 55699d1411df1e559260770362f47c9c717ac59fee03a4e9daac5d35bcb1d8da656b794dbc1c3adf9102d9edaa994281dcac2cb6a1feac8085c15aadfa95ffc2eee95850ef3b449ad430ba1f12eb7d2844c58a9fc40d356b2d0e85a76abc83ad7ac7360d4c4bf8575ce83a0a6efd1ed07276b04202a0e378c1952d4c05f0e9f
+GCD = 1
+
+A = 6b1c440daba7b4ff5842a695212129e0f22d652c4f1320afd6260c86a1fbea8d9da9b595029b5031f599fe605f6e45c8ee085be45213d93354a7a9f1063218f6eba3cc1928d4bad9c58e3b29907e3f33d859354dc35bd2052bfb1f73b388031389a1d52e0d7012fef9c16fab753b8a37a18ac0e1dada19e4a18ceeb9580d63f9
+B = -38eb0946cef6fb3501cef13845cc1e41b5b29db4d522d6e750cabaeb196b77812801ce973ae94a6226b76487f8fb4f7c73e4e4f7858eb923460604046687295a0cc829d34106acc100d88ffae5efbc957cd870426d5dc7dfa7270c6cbea6d7465b07118200ade49d25a5b73974202f28d49df55c724616b431486a8ac686e978
+GCD = 1
+
+A = b7bbe000c2b7b01940c9c800c485940db7e118f9e9a8b4cd509224dff6a6109df506921c01cedf12e3a7e94d0a6ad4b26c4b2da406649bbc49733fce0cf83e9bd3ab3fbc61c05224e4fad7f9ce9faed8ed8c810ec83d20622b50e3cb25c9da8edc281037e9683c3be507cec88316229a5572e9fe51392caf8d20a3e19f513497
+B = ab3cca133393ab6f04c981f63769a99cc584b441a07cddce030ae7d8c29be2ecf438840dba17c7257c598ed9362b3a6ae6825571b6c2371e3ca9ffdb46eb0928e8aeded6724c182434e7a6b1c9e785f8d0b2379d2b065dcf520b7d039f58036a15e494011083d7716e87b87027cd06511ceff22c89aba346544d131d459ad4d1
+GCD = 1
+
+A = -3a7671fb793fe4f8860dd6f1f62b2f2e3eb76782030c8ef58d1daff67b500db263b04c93434a6cef6c0c8717f7a1f0b9834d684cb5ff08827811cdd85d2dee649c6d5503dbaabd13b431c79a1da009d3f872dde56593b952b09f38b2d31ed4ae2d552b6899b88633cd25c2b786fb2946882639621f6daf947e3c0dfe962bfda4
+B = 8df16704d43d7a8cf3dfcc4990112db53f1347a0ba589bd521d57020b1e4c32acd0ab1fd5015bd17d68b98f973800f1a5af0cbecad12f3c8e94f0569f7b068843bd09da9c462c120925ab8e0f60569876e0ee4dc089c1b26a8813caec057f0cb153371497fed5fbfb88494509118d7c24b18276e7c863cbfb19e837bd28f09d5
+GCD = 1
+
+A = f699efd4f6602bf7a6ad35145d8378be44215098ce9303084d153381281a2d2d01c7704eb430eedeaa9d80979f4728cbdb69aa6a39f6d82d79480260d848faa76cc3969907bf77c4b95903c67e9f3a41c8b84f3f84d1264fb7a96bd0602fb327eb1ae8b83c49468839d44516a40d6b17f8bb7b721e756dd94112199418b91db3
+B = 68ecbb6460d11e9937b1ae0622d2598c801c77b349cf27d69fd4bc56b6eb7278195ce9d4f10458dd6b23695127200372d9eaec0b86630916ed52da914070ea177ae37ac31e8cc9096495a2221a27412b75e6deac4ccfb34d8197798272b1c31a1c8f120a94b8d7f6fb746259810f74a97bd40116fc0c33b324c2b75b58450eb1
+GCD = 1
+
+A = -eb2f190429e4b06cb8f0d2dfbff6c1f9070b7eae8a124aaa3fae7e5f9d7f08dad78c0c64fe6c7548b87d56c75bb77825db8ed0487825cdf526eced4454d0c643428298034e908a8d85dcf42a80c35834c153c7036aca7d7c6b56f022e976a37dbedf0112aefd5ae6db580be2ec8c81a0fe41e7d3c2201a784427374d187209f9
+B = -4a94e4ab9d10647c27893ce721b326c91fa18ee518deb6b52beaa83e60ac88ae6d7f01adb1c5b11099c014ec9bca3fbedbac7342ab039b35c26b2b037d2598f5331e49c02ed9a75217f81bbe7f83ab984c0cf1658fe4e7c92941fc931b7d033104a090280e81df6116b20315bb52e6be2efe7c28442458bb138ba49ab23f3386
+GCD = 1
+
+A = 5cf919191e7ce00c2f65e95ee0caea264132d72e45bea8b5b60dd80c346652d3fa8842d02154375e32a59fce2beca66334b5b48deff06ecc5e042c1d7996d36c964e1e21fd70db4ec41e359cfbba081835a726bf5f376f2f3c586765f34b8291ff92ba84f10a41dddf1ab7da9fe28e11176158836e5566ca81e991f2b23ae620
+B = dee4170410d1cbab945a5ab63d5c92de054d3896aac9d711bdc7100a6bc069ae2fcb4ab1bb6880da239cd69df3c8a1c9eb0431393f5b53374fe140c5c71628ee5d66124efa4b7006cd8264362dd75ccb04899d63bee78ab9ca7ff09b8dba43acb1df1c4476120ec837c0d3aa2fbc5b84c356e14a2be3e90d360363888558f39
+GCD = 1
+
+A = 915743d518c5b65a1b34b0b5280aedf5efd89efbbc6ed35df99e05365a183891a90a5d7d32f4e1573db2d9dff242bc9a4868d6562b3475e2bf1b5c78b998774023a8d1e7577757784703fefc22e6f70a40aa81ca7eef8ab8b0eb169fe9021f3a9cedcca76725a4b978eeca820965fba42f5db0b4f8167ec6b60d18af55cd8d58
+B = 24be1aa4114edbf7a8c69111d2371558ef441316cddee4b76622a611c2dffc76754d967d49b0b2afc14106c38c807c0734145d8fdba17b03010d696e3ee8d5c19b09eb924a0c025d21168a9033d60e185cb288a06b8164332fa34027612214fc7fbaf1c32d0852305753b5593b9a4c232a746cbf94552659bae327e86ddad9ba
+GCD = 2
+
+A = c2c0b86663a66945321c3fde8ad5061f0a141f876850595c36d0ec2a051a459303d3056180b97308416116a8f810afab6a2b77e02b016251e0010a0520d4f31b360945ec71d984b8600a2f7e27d0c37125440b4f537de469c2b18e811d6eb63cce609b392ca4b3a49b2bd74c2badf748e574cfc0a0b2298e374e58ae8fd0d9ae
+B = -a8299dcab5e527b8300425b251ca07a0fa2cad85eb8c5b9832a13b8266c8484c41bd5e62396d5b75dae7125fd82125a89c706217bd32a014908ab36d8045cba667407717dbd853c7ae0286788715ad909e6340cde365fc4abbfe9456f901b980441f7794279fab6534504e17ba1fc10172ec4d9e6dfedb1b5c0d981e42c1efd3
+GCD = 1
+
+A = -558312feb60f77144171508b358b8fd4d962387d9fc6c24a3760df8fc631e24174d8d9be376ccd395833820fe3492ea37e48c2036e099595c850ffc31bea2f7824e67101552360f200084c425c7499971156a851e5c7f36386d3103dc9987257f9322a6fee94b2ab45330c2e654964c5a3c3d8a14a24ba787af4cfe2dd44273
+B = -cfa1dec0499709a51f57c0f4231761363d18919c92dfaa950085492b76ebc4bb8ec7398a78416e11a9894713621cc4076725756c5c143bc64c03c31c5ca8713804e89503b9ffe477ab3d9c9842d72d93f78636f6fda43ae396ddbc4ad01a61e50d0c39ff922ee0c8f9237c522a1f0af73ae699734b4adc24663f5d3479612b0f
+GCD = 1
+
+A = 24b50ac79018938e673892d1bbb2458b8bf97ddff749c7d2f25c7d7689dd18189c879611b6406dc2f9a9c6cbde9d3d4ccb1930c599fa1063937325d219524b97d2afadf01d5e983d8c8cae43aa62b07c90653549e34e221d70c7c32b404274145153adea759f2db704b510de1a8e8574db95e768a2bbc828578399c7b7555b99
+B = -c17aca09336b02e6b99841cfadbb530bb3668370c30b0af1fd3df5254a2287df44a0d952395648432aa60c4e3a9bad26b14c6c32b50f5bf3da39bb4d2f3de6309d75262080deb9e52ad0d6e690e51a0cc30c131010912bf45952ad7155d271f9f50198a37e283be0797fa5d4aa446b2e05eddc5ac7e5cc24e4d3a27c0ad5181e
+GCD = 3
+
+A = 219358bf26de14de7a281db1c579d17c1385945739d9160ad92078e108c9b177029f6a6bda96a747cc9edcf00ac1fe05c709c4676710756109e834d5975f3818aaba48e142953da8ab5bee5411af26c41f4f59159c4fe7737015729bb1f64d07e9f883e445c1e44636b26872039990bb0135bc07457ed95ad88c65c33b38b022
+B = -4c8a5ad09afdfe6c86d9f1ceb1d63bd42df742c2170ed60386be9e936ff4fc3ff358e444c975d77eac51e112daef11c0106b95856fac4980840206f290f3ff8d869ff82d11d111710d8bafde4c845e2dce269b6dc1ac61b46d6862a094b9434647e5847003e17ad3b687083871fe1f49c400b2fd83306ace5a6c0a9e2c907e21
+GCD = 5
+
+A = f6f8439fcf3abeea0ea57a71bcc7b14b1d977baf4725362e55e48cbdbc79f7cf62881d9a3bc6976ff639a7148ed023935a7dbec412db76fa4ee4da47b715454dcf1316ddd21886ec983f58c9ceca40c55a5980a1958a249bdb0c8920e37cf5aa76f9df2206962b68c4379f9943de8b973990b6face5e94f169edf058309fca8c
+B = -f16353a82dc0880c8e7600b87cb8496425b7e116726dbfafe06bd92acd069e74e08afdabcd69092e0715a583034f4a2d70cb2e2b1f3584cebaca113d233d28997425931f371f5cbda04313df3cfb20f8f896c18bf157605a05ee9f47022f8ebe6078bd24b78f9df15f293af4f524bd558997e6d2ce137e641508c7aeb3fd728f
+GCD = 1
+
+A = -e9927ec088b4dee2b3b147670b6b6e7adb582faebadaa8eb3f6c2653fe7d2d61a0ae5c09479de746ff8b9ba16ef70e9472e01399ff87694584b2146d663ad6921a3f7a3b636b4ed70c166280016203591e68133c243da1d8aeed40e6fff7da11ea84ac04f7663ca1d9f85f342f7bedadaaf4aab167836d571c56a73de35f1bb5
+B = -6bddcd7258d73fc1dc525ca6838dd6b0767998e11f9eda2e379ca4ef315242f4b726b3d6ff700a164e9f87d4d2a910453c838f529c5ed3e762f8d1581d2c3259322290f43e990c3122612e41824c375c7ad6c743c7899b035e43b34e4f375855187ae3ad3c477f96a7610403b92be34be1421d84c88aabe9d99d11ba5a5530b6
+GCD = 1
+
+A = -f150dd297f1ece05d8a2d67636737d2d80626aaa0571de64fab56fceeb8f297625d1c0c46cd2270eb2da105e529ddbdc56228af7b65cd2ecf166b848768be6c9bd7da502ee88fff28052362a6696608dfff05a8f21c087f0cadae4b1b2e14ca98089000f78f5dc0dde8c00858bfdb9a08fc5c52763418aaecde78f362c796a9e
+B = -c14c3208100dd43ad41dafc6a2e5b8451484b54bb30a49489239b2aed80c954a1c9cf78591c5ea4ba8d54ff2ebadd86d7dd6bf3e7d19adb4e6b0427d221e86b70b902ff6765c91ce575a1c6266a6e23e85e728a08798fa8a5a5589389b03f66d9ecba5b59569237f71ef7991be340805f4bb04f4a2191ec2d3022c550be0b71a
+GCD = a
+
+A = -a2a491e9040953e5ad41a12c383623debf2d085cb7b11e99e1618d17c393ce17c0336cf60214ecfc96b18ead55daca28caab9c6ab38e90c1d73ab354298cfc2b6f89613f5d85ec6a88a8f5fbc791df9a60ebb81c564e5a133d3120725b7da543b0e1a7087d59df0179f5f4f315074253717e8140239d95eeb52c7c096c723199
+B = 6106a637f288c73e88fce3d93340096b03c76f95bed973a434882a1b07f64606922c2b01a2b30a6f27375b30b00ddecb2aa939383c8df0832cafac0938351286fda0fef558d9a706fe7451d11255859c984b37b8eedc43fc597d969a72756ac1faf3bbb478f17c6fb5b4dab0e398e0ca6a7b9e152e17e01f6ead8c7fa4f19e86
+GCD = 1
+
+A = -9670618aed5148ea24541bebed25ffb79681f909715c72622cf7c73401154f54f15ef6f1100529fdc1f8716ee66f6bd9744fcafc05db87f51e20428cf65832e3e008ad9cf2ee313d3896344188f4a0a2b569d34534d74e02a550f3531da78a15904414e384a3f564d1ab92046198b70348e958090c09f23054a5a5e8feb45d21
+B = -803ebc2bbb62d9ad33317a89d891a140d4a62913fc0f13b4f9b37cf7178d2f5d201ee1f9a13d682f1e2627bcf379cbead3321951e38efb39fca9bfcfe3729192535e1424cc4d0744373a72887fc06e8221f6232ba9b7243feac70aa97a32ef93aeb2293ab933d103eab2917de36aebf8184550984f8cc9fc9cd660f8b1bfdc5b
+GCD = 1
+
+A = 7f7730bbbac5c500ebef32d68a3c12fb94387f8ec962acd85c6ced74709362061d3334b545b891b200f1c615069c666acea78b293ceb1d32cfe846911cccd980e5a25bd49e767a63616bc7d6df7523ed30a9bd8cf807c59cfb75d5ec296f78a8af99f156a61cdeb70da0d7691ff6824dee195b447f04a424ed0aeeb5bbd60761
+B = 27c093cf983b9c55b17dcb8561f85da15cf34261992f7eb07d61d53c1db5d697a6de52629a90628865bf3dd0b80af571ded7eb9c5a569505dbd4f899697abe5d9675bfa7f5e8d460cb9afd9a40b5f28ea0a0c4d655da45f6246d1431c18084d5513b4e1563b138bdcbaf738968b366114b3b58b1c14f4b7f0ee6fbbe5bf55b6c
+GCD = 3
+
+A = 17a86b2dca7cb017dacb7934122177bc14a3f93ddfdf4b0542dd55ae4aee052a60f4f5a80dfbbb13ce17cf3ba2296dbfd205c2b72b497c3611bdfc0b8657efa10d1ad559d6a6d7a7b7b159fbb993ba9b9a6b10b1ad4320e175bccfeef4c51e79eb133239a85be5251fe1ef544820d8b1e50c8f47f13009c267e13b550b87264a
+B = eae25e90df4e0e9aa81c72d6b11cb17b43a36c9bb544d12236ea42bcb681ff8f6a96e574cf43fd4d7eb8e98a10b78cf3c7c173470965a2b188b3d20181c24f555a692dc19ac0ec4d68cd9f3763c9d467a6f0bfdac1bb90dd4bd264fe61d6e67ac75a4a46da09c23087d6bfe1967db5c71801581f74bcd983052345f63273e541
+GCD = 1
+
+A = -290afffa7c9f4035dd982a856b2173887f96cf6cc273e5372cf10d4024ff4309bcaa17e1871d354e275c9a54bf0739b4a3b6369f7806651f949b9fa5c0f5a838c5098dca2d9f52ae387222541b1b4cea8a35098f2ee8ac7bc79465d19600706e0ff555e7055770b4dae1f9ff3b1c1fbc3080084d6542ac065099f1dd5ef945ee
+B = -9d6156e9541dcf6e71b769cc04cd6919e6daa48577bf2f5e433f98420ae8cc8ac7caa2c7167e646f6c3725a250b14a123fe6c3e50ca16361eedc2109290ca924d2bb8c631cc7567b870b5896e2a9155983a33a5b686deb86eec118147ec0e84e3214a61cf8cd4f394b8879d56cad4fcfd34799bcec954972d1128f0a0732e279
+GCD = 1
+
+A = a587028f54f34472345942f4442f9082f22ff0851dfb06f8b450507f3d50d3cc9dcf356526970a0b945cb87964c87355e4fef9a3e0af7c2184dc929554942fa36e338831829c154a4e3a92451068c797e92ced73a1f1d5719863ff6f2b240f26933232adb514433a52c1f90a414ac1d177f50aad6672913b836fd5213fc73925
+B = ef12b0200d540159c923f152e64aaa59a8af6227cf3883f75a6f0b377438771c49891ddc4859122480c6f6f1dfd7806aabb44f0978f62f76dce3a3ef033a0bdc3ac7f6e27ae2ac0d7a881f369da1907a5627bfb1e20e25cecb4bbe75d97acc528507f7a5c8104bfa6fd7d0720ba4355d101e91658f8b65c5af90867397765ef3
+GCD = 1
+
+A = 5969fcaea1ea024f5310dbfaa8a441e4ce84351eaa6be8dc4f13513681b2e6c3a224fb8f7bf7a2bf41b7843fad0626f21b07d45ab6abcbff554acb2fb2e4ec8527a93de44fb89781495f557b17b671b1d29d313cb4f83b418b19201e57c821d0e9736a30512895c69f790a719820ae161acc1932aa562f03109c64ea2e489c7c
+B = -fc1725597839d78f679b4303dd499b8c72dd44e438bf894517aca5625d8a65920b24b4083caba2980fc4ec4832bcafa60f5847bd23551da6f7185120d4daf6a459221dc3b51f191550ff4e4f3f98fa7c3ccaac897f4de5277e33cf082332d83c58224105d0e734c0d5cbd889c16afce9842c3f57a765333f5365cbd0619bd7ad
+GCD = 1
+
+A = -5c7615d07e8d7705a409672af2d017d4c3e722fc196a7cc38e14d33b54b6352e5610b31dc49685ab4dc8a6d212fc22683cbde6da3d4bd2077cf85199fc5b0a917060d9706438e6f51d10d3a4f93590679111ceca9c8b0bbbbd9b11a61e0f4ea060d8e78973789cefc04cca2edc82033426761dc8b69d9d63ce2a1bb1f89aae64
+B = -ca8d899889f95f9e7540453465f532de8509c4be96a5180649a13031ee3cbbba82a3836d62e2bf4957b4eb24f72d3791efc3dc6924f6ad1638e4fa98574bb139fcf313390ec5069b7dc870b0c4b91efc59a3c5e753c84938eb3a11220778090f122eb7a80b72434f9f72f9c4efb62fe5f8ffc62bd4479e73ea4de411cb4ca2f1
+GCD = 1
+
+A = b228a5dbc8f0fd6813d3e2e0ca3faf737a16da9de30136baa25ece4d18efff8aa8f058b622932ae86b7dc3834d4c5a13bb743af4d9a6cf930abe093a3c13121ba884ffa8ed432bf5530a32f35c74c59988dedf597f92215e77e688b86f8830d3b1718ec1fe98e127243ce0eb8635e5c67ef5298fbe626e5103801d203e5ea68d
+B = 5e8edba6ad295a9ef6de64e83c0a2912f823a26e0ffd29b2bb35ce15d96f26c5fd7d9d458add5ae4fb322ede40be5fa80a3813bdf51c531476e8eca0e510cba764708b22efdbee1c593ba9bd172db351a9e469bc63494acfe4265b59f298a5e7ee943421bdefbccfbc50beb3a4f0534276c54b9f92ce9b1a81549cf0a752f86f
+GCD = 1
+
+A = daaa9df87752053815d2869858a9d90d78c0042797e09bf1efe128e105b8ca1dbd2549fce28d301ac3c207c5115bdaea8491bf9bb618a7a0c1c5dbde5b42f67a5bd7a4e041af156ae8b93bd5b01204322e0c9ec0eede44a4e2652d094805af06fcb2657cbf725548656ee5e943621ae9516a0f4018933003d6b5e60127c00802
+B = -9ba0ad4321b1bcc6dcbf4fb95486263c2d9f91e1d997216538c6f29c687fcaab2d31f8b948d2fba1d932c613c8d373cf2bdbfcc8a7dd08652d1c3cdba9c01f8bdb19534b1194689c361aa69ee8cd735a1e181eaca31750415e965c0f449e1866d3eab00c07590c5854639df4c425e8fda3e97c9d845f0d36a57f46486b1bfb41
+GCD = 1
+
+A = 8ce527e4f770ddc7717e4912de5549c578841c58f0e4b1976f7aca919aac653d5f1a204c11adb28a208d25c01c630d04181ade823140ddd43912225792ea7f3d902d9b2f1ee76bd29711a767cca7c4dea535b11384e70f3c5bc86371aede57e1868274fe971f662977fe3ea7271bdd296482b2b76e641b59aed3aea4ab04e994
+B = -e4eeda96e60840ef8a2647b16f84ebeeb3409029385674c276903c72362a2cd2d55480df6352fb67e63ada4580e31f3bb9ab711ab3b7288c968c6f9c06dc8f3cc7f9fa6383f90ddb82ffba8bc9ae0d05c12b7dbbbb472b4ac19d0f8b3b55ebdde325d80bd2c793fb47e4162d6b8ec1a5aa9851b169782ad4cd7d29b9ffdb7733
+GCD = 1
+
+A = 4f7483ef99d00c8f779d107e62c0898c8ca09860f2a615c9b6ed56a14046175e259cb076560b27aaccd24049b284ab75ba85164bf16b96e02b6415186fa50d33d8335f85026261c6876a45d5deb91a3dd619944a6027fdfc7fb6b52ced11efeca79ab7443f9f9c43b34237fa7c4a7dbb7d1bdf91691558e4a108e7b6633a1237
+B = -ddf27c43f25b08b9bc961c16bb5869b4698c6caf09289c41ca2caa4d7128d5123ab5badeb19c5b0387e3ba9151c5a34767cd9b98ac253901a83301ea86bdc9c6eccc9e844e0a5a62e623470e296f16c563088e512dab76d4de55b640d44cac67d091675958e5cfe950544fd463bb7b2b94a2cc314a5364792c5ae185310e6fd9
+GCD = 7
+
+A = e1eda05210f39acff8e3a55f0b364e9800c94139a18651f263ca80cb1e2cd9b98f1ca7b13bd74d7d300b43bb4ab60e47476640735caddd9b1084576453089b4fa15d76a91a6e04b5fba37573d431ba208f5da3f5bc247caab959cbb1b8de7e33782f5100bdfb27449d0c7d1e4152b411c85dfc4c1ccf915ab0bccebaa05f4181
+B = 409fa219d89403a4c0bd7006a89a729e94745cb5f5c3ad966fa42054af36ea90d67edc26aa83ff7539f45fcfb34879ed4c5c2b91ef0edf290cd5c71a72ee749f319d0433a1b7f3b918d60c8530282599f205490791b36f157716e24cb8e908ac19d1b0ff9da35bf8bcf886d4ef032de77626390d8a02d62d99fb901a2ecd4aab
+GCD = 1
+
+A = -52bfce0d65cb325ff4f39608d61eee613e6ef5359bd64203811b2d417c108af3d7b8d024df882f9dffc4bf4104689bb4d8c9f31846731c883de404e23c5f8d5adb5f86c3a6d1a658e577f0bbce73001ffc35816dbeec761204eb15fdcbc2cf23483eb86c6b9e8437190ea25e0a38a7e80109828d357e0528dc8e393d4327d22f
+B = 34e064103d80cce850df60680f73c4944176ce061e47d1a4e44876ab01d76a089a9adc54de98ad9ece04d88c6b3af4a8460b2d676cf4ea96b2e245973d981112ce034f42500a30d9de3454012ab34bcc5f0d5245dba2b26fab2ea463f6f2a5aa0f0cfb2feb1f685eb220d6e07fbb30749a9350b30972622e28567fcecd4476f9
+GCD = 1
+
+A = ddef3849107b4d977d64bbca913979ed7ef5df6c6efdd9c3d72c99d29f45b07924b045b6cb4c793a5e25f8463e133e1d7468575a020491d15bc9b9b9b7558dc0407b58cbe5ef05055a7847d21a02b9294dbc60dec0b8e3dcddd5373c887a84c9350b2d5c6d8302418bfb4fa298c4e10ff770deab9bbe42683c66851f596749d6
+B = -a3c801853e4a2343936633546e4467d422e70e2c6e441c30b2573d2d18d38fb2daa2fe8bb618c5a0347795578629c1594d261c7ff99f5a2dbf3471a3d87f4bbb97e42dc606522f04df941dfc18afeb3cf10d1eab9fbf53c5df03ef9c52b392fce4639662e2f7d64e46e29e27dc044f9a7452844f1cf3530256a08a49c57afb68
+GCD = 6
+
+A = 6a11eba63ec3cc03182a5deb2cdb3c28ca38c77f15e872b7da67d7f92bf39cc25b229dc6d0df32b41917395b3e3fa5d6a8f507a52c0e552f7d6331ec9808e60bac7cd76f6ba9063a268e73cef4181c025c796b370bdebae04361d86b11cdca768bdba161bb22b40e753f1f17fe3371caf442d862e1046c079e8abf0dd76cca19
+B = 6b548fc229f4e6948a4501e5a0c9ad28a10e5ba3db8b52d300c8fd88f3ee736f84dd7d4eb238fc07d92482eced7f972a94c6a8181934975d924ca7294e39afa9edcae2e14811c676f4d00aee7fc8da8b0a5cae07850a5506cb7f92dd927f62b0bf054a9ddf7eb21d33e59b25fb981592d8e9ca8f7edb9afc75ba2deda519a89d
+GCD = 1
+
+A = 85b61531f5450b92f78aa7a508af38d8742faf288984dd38390d4a0bc65c10c57cfe7121d9cb027ac57c3a8cbe7a4427ffc02e9cc0e492a0cb085d4e47007beebeb99e1c42b832ddc5f823edf232f750a847477c57718dc4bcfc7a42bc3f9487fe37dd1abd3b929c40854e6b7011ff861d6ba0fd38d6273183eb151fa4cb2ae5
+B = 91b3c92fb7ad42b8c51de1378eba3c6352eea245c87ae377587c8049880470ed09d55f8f32c381216104683ea7bc9b29d98d80927330aeac72ec55f7de1f8e5e4de650ce16eb20b2140c8904f6c062598e045a199d606987871c18987cf6759a56900b484f94a842b0071d830005987d8416d38d0a9023aea8fc90534fafae4e
+GCD = 1
+
+A = -7a0c0824694e5437bae51697b12e3ab3d61ea73bcd8f74334c9dd03a36469b457eb0fa39e60a37456e9c1d1791b21da8b63f0b66f4a6182b5f26db5185357742375a25f34e15318647f92618917ec33296a0bd2937e3a16dbb70d6ae925cbedb9918c6d500df98274b312876a08f8dc78609626d774292922c5eb6879278f2d
+B = -fa1e7d2d1a01ce735f902c862dcd34a95f346ceec4afb6fb8db9cd33d542938da9a4a6e152c7ff456fac3cdb2ba05fb75f84dc2e40ac464a36af489239ca6666c919a36b50a62ea1098b4938b6294fdb2978627b07febaa2e331cf27ae287f0c6587f94e5d962dcc54a8ca251c212651e942993839e66ed73d29cfd869d1bbd3
+GCD = 1f
+
+A = -df03041c6b4ed7e36cf098873364bd1ae65c1df89e2c49be706c2869f951a5ff78cd757e2d820f0f803e5681d3563448729938ef42e7d85ecba7876f492a8689fe1a6c1f56f1ab9a5757727695a39242eaa726bccc2eaae2ce7f8f7a3c58737fb3faeb6da259af95a916d2213e8cf2d782cd9a036712d07c99956c4c46144a40
+B = -daf1d8ef715d2bd63e453f49d83d134d73463f5d795a7d4171e4a534dd903f17febde26f1c830b8c52419bd70c8536358c2078de466b585e188abb6c46652bd78cf6e4cba6d2bb17ee69a346182a0630d2711fc529beac3f1b41eb06d890a5256ce02d2f136722a21bbc77a992834b56c7ab662fe1d9bdbe7483af776a39b6f1
+GCD = 1
+
+A = c2dc29d39cb9410a74fbdf4a10ce7ffbffae61892a5947dd1ae3cdcdaafd90001c802bbda712b6e790c88b83c538bbe2965caf597458e5d5adceca705ecf3bb08a75a79c7241b26fa3a64db04460392503222f9b6f7731c83f7a24d939e4fd66d83bfaca198d3baf5a22ff8e87decca01eaa3565dc2d2dac803697c1e9d08597
+B = -7754041afea6e47febf1327b337e7ae40199626827b4c84c279b983dbee675af2c3a0e49e75164fb54f8a56e541cd5154615e6bddbcf2658e2ccd304f24e60bd6a45b1cadc5f6a52ff8639cc2613fbed749664ea5c38cc0c37b4600ac92553c2330ef7d017f7ffc8e98faa40c0abad92e0ca88deb169e2f568450a24ee7a597b
+GCD = 1
+
+A = -a0c69dd5594eef70ac837631f479a9e1fdd6c70461ca18eeb2a2060d7c92b1c85d8684220948f69084aed8e9efde1d83b6953be5cd2f54f48121458975c94c286688816c425180941fe4daa02eed4a289e33d9d01a05e5b850931bb781d46c688f43ef473fb05985d8b86bb5d4e1ea91b3fb21945cd51c712c80e6eb3cc8485a
+B = b7e13a29f6d28caf672d386809e952c04a1aefdd8bd97ab187c80c4ae78c0425199e47eb84e108047b962def2f1b2957fee52a411305945421d3d44b0753774f63be4e2bce6a2cf3c962099c1d498c1d689af4606c0383b965bad058cfe846dd06f0b0cf4a71b972e032deb57986dbb942cc88a959d05cca370203c34a306f19
+GCD = 1
+
+A = -77c5273d0cde3d14944b7ad58f1d923ac53cf9ab0abfdc1338fd751b50908f56a2a6b90b9144805d4049f807f4f4ae836b7759e5091dbd7f39188700ea707d11c6b027a1f0120e3e54beca4a5145bd1befbe9f8f6aad41d41a0160f87579c8c79ffe3b280ab82502b9cc46715d81a06838294b360855e38db7755ad506b0a303
+B = -ed49cd8c1448a03e23dc954d065003556cf105b593e5c6786c78b9b7c578d574dc8ef456efa0ba8f5ca63a52f42e09fd04c1c49b401a585d6ff72d9565ca7d6e2ab70b12c27b08b36c3a5c020d44177e71907f9cf2ef6f5c6307f434c2f63170f74cc52b1c15c59a9f31a7eef8273edf6a621506789ffe2dce9cadb1d1128850
+GCD = 1
+
+A = -22dafea395294540fd1d8d1ea441ff96db011ed2f25b065ae237558cb48c40e60cde2629fac19ca14f6a813e83861c7b8e39eb5aea1cdfdb255fba5139dfc569f0644e529ce294640fbbd596588160b9b7812abca6a0aa3dde8e3dea982342c583cfa589be8d0af09de158d471cf1b68c89117ee51df2cac1010b837db05bebb
+B = -8b9315bbb60d86d23af0268ded41e7e56c5054af37255727d10a5bf985cdfe8f76575f25b9bd0259aeb8862aae8bd01380898efe2a3ec966bfc814c0e5d7cce720ee3372905a84185e59cbf386e8acf835a5c82915412833b32e08be47852ccb87336f4d4b797733a9d3f3423cd6ae00f6d47b11608f532222a3eecc8167c231
+GCD = 1
+
+A = -1efb3f796250b1dca388818d66b58e0c673d8e91433e75947bf911a5055b863e67e8092cd25bd83c6f321c37e781c3a74515166420b14c92f6a4f4d34ed9b720cee54851c824974a6b72ef2bebe159515f128c99ceae1611a5b67285022a832809d208ad42ee7f7e612880cbf3b93e5d67b331ec778ba38764c44e089a3206d2
+B = 2eeb33d29fc7eb0b2f7a1ed0fcff41c2e7c92455a7eaf72ba5008ee7a72ff0dbe21e116c900a7ceb172008f089b0b3e2d1dcbd01b078a6b2cd73c9a483bb038e2101735724201ee57156b8455f023e24e5692ae5e15649e361f19b3295d1aeb0ac8208292261b76ffbb3e11398037f18ace39981fdda814306692565ac2e2a1a
+GCD = 2
+
+A = -6386c2da9064c3cfe7d34173ccced22aeb2d3cfb2fcda0102859b925f2a882c6465f9b06a253868c254ccfcdb857e77170a951e6232d05967c019ee6ba4fc13cec53fd2c8226aa237d122d745d8d28a26f586fd687848bb3fc62c6702db601e5edf9237afab3acd7f90c146f2c1bee57281da808402f2a45ebdc7aa0a184ccd7
+B = -4285b7c728a18cbffada168ffeb5b5709df4610ec97bcd60d8228cb3843ccf538fe542aacce135e5e813b2a0d14374bc4054e2d11b9ae1b5ae5d59452eac6f16361e41e07481fb754bc3c07050b8601bdaf8beecd47aee0d8548d99ab11fcb3a0f22f435eee7b558c12bf6d8c0497d8788f279730fdffed9c1d4e4979c6b9956
+GCD = 1
+
+A = 31376114c9db98be5b1a9fdeb784f31ba28b61142d9ed2f293a0eff0ad64af1019c757f4254983629e3b8e1e6acd7f0e36b77e04a979ae1e37ace4882d3d7526eeb13169838f1ed569ac5eb8c0852b14c9a5a1a6ef8412573c0fc197b32604a8198c0cb08237e47460f360f9a7cfc0ce8b00a9da5edb08e09c72d7e26ed62579
+B = -88873925a5fe8b2d26aca918a08cd118d67c0b7d0f2bcd70ca6fb0ed9079289443bf21cf60a9c70f9879dabbbf76384c3533e01005b2c2a1e2057d87764751ba3ef56aa4eef8de7efe9b1d66a9fb392585756ab1d5bc3bd7cb1f54b0babe334c5d3e5cd6ecf5668a3baed7e273016d31d3cebbc9986633599b1065d7d0725e8c
+GCD = 1
+
+A = 28995270792d3997cb00832c89813bda71d0909df2a08d96999d4e5f4142cc5968204d5245f23838bcb865345ccef36af771271f734c5957435abe68f6e0408a529b52bd794377b4d386b638edad75ff43c9b885cd7fb144da38914d5224af2fc5b2cb9a9f81ba6c458e0eafd3ff79e5630d197a744065e7ee6f9f2cb0b7d813
+B = -fbc89910e2260df6c8187f4de25b38647ac421437cbdf1016bdf8a2196e528b26aeafbd265b9d26d3ee0d126e81c46f4167292404b26c7c725bb09e737ca2f2d548a78b48f720fcb14ff8450ed9a60061746078226aa6462cd0a7f19e817c19c4eb329328c1171a62526ce70e6bd177b3e650395d70cb71e93c842ee8fe44266
+GCD = 1
+
+A = 5720275ab014e106122249d54b704a9bb8ec2d0789938610a50ec8491f6782aff3f87c27741955f046b6adddb3f34935f49c775067de5658b37129860ffa515e9fba3c4669da726ef5b171f99a3fc7e292c936d81c2b088297c90f5b37da8d826e8562648249fb36af81a7f135312d37fc336a427a37311a6b9f654da58cf8db
+B = d02b7bc045fffc3f6f084e71432df357477ddc914a78b24d8cab1f5b08522fd3badc9f0e7bb47e2eee4a00eb27a592d7c1dc70d1532d1ddba9c63352b46a17fb9c8dd7cdd894d9c9c212858ab0ea878e703d403613de189f3ebca37b1a9cd9ede086538e9dd6192f4b07cb74fe4fd5d79de7164343a38abf39f51ddf1ffa81e0
+GCD = 9
+
+A = 58395882946f2a4afb7c07225eea7658def0ad1b9204954747b099b221cc8c2631e344840cee358edd1b9c33ad7c694ba7a2ff4d9cb1d89f5413bc8fc2dfdb39fa04a1e7af2381673993e99cb86c86a75addfeadc9a86076ddbf45e28877dcba9b695e72bf4993258109bc7981388ea441f00b88210fc17533882dfeb9a481d8
+B = -d089cff57827f8408d61b4b32e5a337d9b9e363dd145943af0de7a60b911850aa86ff0a28de1a5d3b15d7881f737aa0f933289ad3951bc5c984a2ff9cc55e112c607d9608eabda8826171464deb39fa93ee0fb317464ca6fc03dc72d2beafa5cf83f72ba22f6672303b134c2ba1af337fbc215ef0a8e9a2c3e50308b11b487d0
+GCD = 18
+
+A = a62185dde2ea6f61bd547596a966f2109b17fc84984e6030326ab6a3163f20bf31f7e29b49e19c1dfbe1d8d2a66e37c00fdd27f601e4977349d5df4e5ebe726b840c521b680540c1d42aa31bad3c56524cbb7892063e10b292cbcbd9795ec38815c50217265afa14304dfae3cc21ef05b654c0733e575d45d33e6c6b7206f010
+B = -d1146b0e499b53bbbd54e009996b5dfe41fff6bbecc74015406f0b5777020418c7f8a58ea5f8881da990981b5384af93d51656e05a2d50f0c23b0fa4a333a92fff2e8450a7fa65e01dcf5325398c359f34dc799a4bc55f8db538529ae6f0aeac86ceeb3d3f00be43ef5e567695cc3c0e27c652407533bdc40995e8ebc23aef02
+GCD = 2
+
+A = -19bb5de4aa684dfd95b64a2efd0a76b82525d6768bb0a1e0b3311e06e694e3f7c3b9dfe92f0fd4ce859525fc9a00655558773efa134b63dbc6246c2deb8ce1a73dc034033c61ef17a91dee0d22155713084cd9d66b9727a842a4bae96a029ea3d212ba4a6fa3227cb267b176b7ada465a2b1a2bfbf310871e537e51cabbf0f
+B = -e11c5295664395f0404b184fd16e7fe6123e2b14e5fc8a017cfbc2c712795ad08d43457a176b1042e2d679b36de4aeb89e0de93a1522bd3b2bd44b631f2c756974e11442be01eab03564e8368164c4fe9e1f5a026545433687ff44b760be40755032cbfbcfd5b66000e5fb886b9d7889c4bb4515fd3587ddf4d186cbd33a8e1e
+GCD = 1
+
+A = -ce06721af0f66ff8a3df8ab2fe46ad49a61f7444f5c2bc55cc651086e5279bee32ba2b5bb3276e83200d8c994d00a36c5901945b11a17c62dc82bbd9a5c7787536d8643a8a7b1d64efee2206f02a7354b185f4c7793b23bf9dada8984396c76da219a0e5d746f15d2fc732e3f13faee869d941d3f4b1c3b61189deb786f73099
+B = cc436e5f3db0da416928a58a03f91038c1ab8fbe79591f8e5a83bd8186a9fecdd505fda88a297c14e7260f7735dec7cdefbaf8133037d70a75416589edb13ca35d8acf7f81c2c4b1bbcf6572c07ea69c6e6868d2e3fa283a191811f6ea180432a8fd7ca9fd6278b145df4cf69afd15637bcc9124094d9df7c90b7be52e5f274f
+GCD = 1
+
+A = -229b42807581eaebcd2c60a39a22236e7a173930e02c37187176664f390461e0be5d9081dc87cb587b415714c3afb0d7867f2e0c2e8675b21e7c0001d1a6452737befcdc3697fd544d69a893ee8574887726d92dd75671167f064107c8700fbe2ad868fdd0271697709f18c20a00539dffdc40584831fdc4ce4425874a7881c
+B = 2cfe0ca4335bbcaecf265dc46cbf3ad927e05a878ce3548cef3c601642ec54d5b382f9e78d5fbf4a97a54e244c7ec0120291855d319cb57086c5f30930d816aeee46f60d356e2d14f587af6ee8c3599553f8b9162dd16f1799637798cb8561b36102a2692db2b1f3f6041c46db8a20a875968845eb445568679148707290b00b
+GCD = 1
+
+A = -64fc5e360d4e3d24bfb31d5ba75455aa4d7a20c090ebff452121462125bf587d76a3c4329578048964a419256ca61a76e8b45e343d8a026e99d0666a3891238e5a9a51da039f7a797895e1418c9b0839c26e78c816e1666888cb3c9a8457f602e1b66e631992639f44830907c63e0b35bb9cd85c87804fe3cd7700e506cf0b64
+B = -95212acf0d73ea524da4679f663ce3099fd570f9118f30cfa0363d088ebfa768812f0079cceb8f51070e07e69062613f66a0ff3bc86ed2508e02a1714327a547069a87afa10856e5491f2bcb6e3fc82155fd198ae7ac34f76d5917a0922b83d8ad581d0b76c1b7ae6a0b0702442da647c655a09833a8bd28aa89c90a414a9d16
+GCD = 2
+
+A = e4131db5487d8d350cb0e927462fe9f6f43564736737f92c245e43fc9d2fc2030fac4d319588150069b61b0c70b34501bfcfc6da6df5b93e84a977d5c5449d051eec2b0c69269c9216946ff6af96e79a824f6d2f37251b402cf3dd2f060d2dac0ba2245c6a0537ad160183e76bc6e694700b1fef703ee546722c462ede23deb9
+B = -84613155c850ebb3235fe00ee513ba33ec1e58ef146b729aeecafa9714b591b57f0d62258d1cf41d6ba5ca2af77726e3b6a5a6fb528620f33cc495ca6ee2683761aa6709333e8c47605bce66a634016a7dec675356443ac57277b3192f164b44768e590907254c705897eddd0c264f8a5ac92c020c059731b3e0f2c834a082c9
+GCD = 3
+
+A = 2dd41432ca896911f6095f28b0851b2245f75d24501c5083403455c0a13acb172ad90a2d127849f2fc02f5055aceb460f6789175db522ead8d5efb1bb009edae75564d2ef90b8b585f77fc7cb11ab79cabcf76a068fc14ee80bec60e6ca524816f57703b2d6671ae5a1a2d1e95cd6971f33a81029943c403b9678aab69aa4b2f
+B = -d8c70da65df7a5aeb580218933a5d4a9f16c108412dc19360b14cec65543011f5c37c2e32e5821626b0cfb34c6a195740ab23cc93321cc9066f9b7d188bd5377486f0638b40a4aed49340340716dbdcc76f44a093399d2760819d8be4f7e63232f36be4c78a460e42dc620f8c3b3ce3320d1e1dbec7da9b7e889d53e5c572873
+GCD = 1
+
+A = 3ee366f91752e139ce9ae8e422acc0444e05ee47754231ba9a0224ce11683c32536689d6826bc5d51559593c1106a273825357f61dd82f8cc8e92b66a20ddcc84299345b603da31866fe8baf43b042505447de6f6dec85ac9397e22887010ab8db03f59c038f98e2dc2e158ca3286be7e88705b6daac344dd14dda542aacf1f9
+B = 9b8e6fcad70b373ba1c536f36d8fb4eaa12e107d8c2542503330b819599ebc2e108f10668d565d39a97e313f28fc32c0241bb12a3bce998e3e78392c48b56ecf7f9e7cfc45bb52142dc4278b63f53a55bfec6569ffedb6dccfb2444caadd26186e4e9f870b0d817ffb8061844a587c73d52a012a147dff70676d5ad57e541209
+GCD = 1
+
+A = -e8d9bf2d06ed0e90c06817fac2280b19a3d0dc5793defc150d364ce35a5c047895389e4f5310f4ef0e60a6d4e7f58e806f75d8398edac251304990d8fe2a8d1a5e4807e3d727da89bb61db5290a417c09eb8971070028eb7ea494ac347f73376e34a06efbceda19235c9165aa218471a5c885a1c4c778c1e69e4bbca13806db3
+B = -6616157bae085ab4c87fb1608e24817e8043999b5421bebd1db2b760da062b6ca3fb3435f376f2d094fcb71df1653eb4e4cdca022084a1ba5d87bf0fe88fb118766cd988ecf52c8ea177c5077512f2895eeb98bf914614b7862041e06257a5a480e41abe0e9d6db29eedfd0722a36f01f4e6d3ae92f34006bf00bc50055ba708
+GCD = 1
+
+A = -dbc449ca5253b53420a8fe2ed301e37299f811dbf5e550565e74d8177230b229b4d4aaf745b29b206eb984db1b68d11412c9c144beacb351b23be5086c66543189ab577c5886b383ef9903f99c03e1cecfa188a4baa468b3b10ecd937165c9d040d6cd908713f6a1f99cf241ed1127d1a022395a36b937579326ee76900e4c6c
+B = f5e38add2508329919c137d0bdfbd353fe9fce70b2d173bf91039a6e52de858e5df35829bb28cf1201a13da91e761cbc972c439c3415e9dc28b0465baa8e34089757e3e0b245abc94268479d4d4c3ea4c32318b2c94163f09883e634e33dbc4231e1b23ed7ae89f6efd53f72e4635d8c06836216d338c82ee5f6ba39e4c45ec7
+GCD = 1
+
+A = -6507585db81fe5872b4204d0a36cc34af63e58e04f077733108f435e801d1e40fa24e752421afe3b4c2cfa1852a0040d5674793e9d7871c108dc00b2062e51caf3924c480b884415bee4a55557b9b9dde7e4d090b2a1f4cfa7206da8369976499894e74ccc3482e6ff641af731aa9c38b2b58690050d254c9d6c4197e6d36cad
+B = -76f11f9bbb4aede3445775e11899c60ae1595881532b62df256dc45957e7ed59e1f5a2d6f10a235c1468f6167f76690548192846519d6f060a99cbf553709fc30020cbc19f30e7d76fa3bde708ce5bba9cbbe4a9d6b6fff67e6bb6a08d85e8d237c39a707bfb62af0890d1775c29d8f1b4a3f4fc145fcbd72c5c65374a8c49d1
+GCD = 1
+
+A = -ba696a5454a099f81bed7b7376f93223720fc2c4af6663197f80c32967e0635d7687dab6ef4885a0f4218d2735d30b1dd8f122d2e7614341255799f587538efe0391e7f29694a3dcb6a1da2c18f775c472d4a4cf3da0b44e2e8fe641551732c88681add226cf69eaff9bf77b944a655fbfc3cebb131f67a13175dd2285eccf87
+B = -4ad9059704e9aaf02d5dda2ced2eda5dfbb09c2c4636d60fb59f6b98a2b2f7679f8ed6d33ffe4117730ed6bffac8cb095253451a34ad9be30854e47efa1ecde722c7809ab8113dbb31cf82288590b19ac873eb682131ac78eef1af33063174e1c3aeb5ada04616303e23f38e3f34cd01c3c7fd1e5eecd49acd469c5edb5f9f7b
+GCD = 3
+
+A = -e64fa114dc5cad58b777372162a0eb0fb52a8653546313c87b66b97009f9aee1c3a12bfc530907a345b14e355b411b0c623993103cf43a8b700d58c107057075c2dbaecf788dd1ac4a7c374773111c86e73660d10a0e8fde421bb05c8e222b52ea7a4b9b32583f7e280a03868407f3f8ce6cbcf0c7ff85b3b503eda8c8b80612
+B = -9ba4a195088c99e4fd50d27c7e17472629f1f860523edb94b7802cb43266a2c1be703e8bfa4f1a898d968c3d0f3035b6ba2dc8e44bc96780a297abaa7b6431131b773cde95f1e1cf5a762d3f9ef2cfe325e6bfd512fac136e0863b5fc4cbbdd9a09802538c42507f32d82252413cceb1048d085beafcc4775e5769c83f989bc9
+GCD = 1
+
+A = 5f87242f516387482d53cee6cf0b57f6cbf5ee7879e73b98d79e1f4967d93e1042ced4ac822a85220a0d8b52b33c3e0405667e9ecc4ca24cd0a7ebf6d5df395958e805ddef68c331c2aced39bdd6a65e0e43e13e2d641bebbe23893780c54ab8b9032e6c345aded119e1dd296e9203507ba3674c89d2e966272f3810e5be7ccb
+B = -34433396a87381c918a68b2f1713e84d4f0090eae7eb104cd160e62bf7636fd950204849e1dff8e651ecb09e5bb68f8565c6b48fa77d688f4b98dad46b5be0b9fa9e3ba39f6fc3ea41c8713a14a264081a8fe524802eb173d235334308220e94bfd0f705f6821a79557d0f13e96e44ba109f794d8f6b6c04f4bb25de327e569
+GCD = 1
+
+A = 9ea2482ab4cf0d17d35b42f231822689e2c0548ef79d2c8ad50843749b7f909967c4851ef63d62973fca1ff86c7868970b7929dd6aa61c9b7b1a3264a8e1262f918619ea751d508eb34a17561514912ef6add8ba7e4a62567e583c573297576c638f1474b86276a5faf06220fd2ff8c3647c5585767aa4701efcab61882f1f98
+B = dfca32cb9380e8f7c09a5373d0c4eee7c3f43b3845df393ac041def309d5f844df6d972bf05ddd6b1bcfdef27837caf7e3c48632d5f528eb7d01dcff1023597b84ebba422e7e2d80f7ded1f7c288cc2ff8c3efe42badfc8612db2cb0becb895f34123d267c1a3d2d9b4abe88617a7f3f46597b10847dc6385f9dc591be6f1666
+GCD = 2
+
+A = dba72cba86404083e73b70bfde6d3c5ddf9392797f08bbbd19ababf69642b0e09cd8a57d7800b9d74ab0168665b56bbc66bd554066337db870c50068d8c11be72bc290b1df01292dc22af695970a18ac8016c2e21d0c72e0981a4d2b7c981d83a7e469bfd97d205b81cc89941c6e7755402406d86967b7f7c7d1eebb5e65083
+B = 9eda382aecbb22b4a1707a4074612eb5a2f986a1ff8c69832f2dd66462c0f48cc1dbe0ad7745c9de125778afa93e609ff22e505c6a13019fcd75ae611d4fc278f554edd63b193722009f2d0c76b497292fe45a7b1b5d9e9fd14a0d7d8288361ef656a3e0a573079f0142ff5ed0a55c1232141fd67bb16ea448bb665683628055
+GCD = 1
+
+A = 7622770fb750c8cb80997c6fc2c4763c1fad1cbdb2069bf192c856c8725079c076870101420f4bb3f7a8e45a6606e0d871e3478863576a414cbdc1bdb45b4b241ea1427bee7efa4cd65b207bf0f97720d26c02f689082f62a0da40766629eb5b5968578edb1cb1a4c381dcee484fb0373d195610c8b33d709b48a6d89995906
+B = ef3caa8ca433bdcd85a54a4e9be3049ff3c4119e8d7b0e842991c6ae0ebc5049bb2bf09717563fdc39672d8ba2111695e0f61ef28afb1ddab25b61c45a085f3d7a4972790adc04c66a26090bea81a67931014ce058e853e961b440510d9f59f615dd4f6eff796b4799dc500b2b3fbe4d712723ce2c1fc0d5f098b94d09987480
+GCD = 2
+
+A = 9c24e4efb9d54bfb72a16152bb939b8ebffea3817b0161fc1aaeb92abd8d193b42ab50bf363ff56f24f78203008b722f50036844ea43757f1925f8768b2ba53434aa5d03f06542999f2df920a7f9aea4e68510f662355cd9a0f72743891773e51e88b0e4f4a73791fd10be490ccdd9d6e4879a7f93e8ab36d26c7b71eb136c9b
+B = 10e87dc04e9e395097b00ff75bbadf213c7c152757570801556fb3f255efde9d1a2f965e7470257d02af73130462a037fe4aed163744cb34adb7fe1a07cab2036785e3a915fb027077f7b9eb66be105c10a33b08d1ba95af296edf845e33520b54862c7e89708df5e31b27c3f022d78823169f6cd616ac8d040c9445c2f8c272
+GCD = 1
+
+A = -f37b32714eaeaf89ac225b055f2afaaed57e6bb3f136028bfcd18638da50e9be829bb6cb691f8d872c576e8b853196a9e3ea4034427a2ecb32da7ec5bc4e63ca30339589b886053a006ed8c9eabee1eec392c4cafab1e31d05ff3530849b6f0ba60d26e15a92b4fb62ffcf2182db2084cbc1f38cfe0b1323a75399b57ba493a4
+B = -112f3273fd768ecec46ddfedf589cad3efd5ad34361ecf124cb5ad8101bb89ec78d6ba6c357d518a31e0b674baf795f84765aecbeec09508d6a660e3754266e5006b44a47dd2ebf2d8256b40ccb4f982f4f4c7cbe5b918c02027b87177651a186adef2604a15659683fcf318ae8644373820a4d36a3e46cbd8fe9f78ecd73271
+GCD = 9
+
+A = -becb79c951239e2e1b74b37132dd589b0803dfb4b63575ca32c6894f85a083a45ea826183a630dac7e3953e251d8ca073f1bc726fe3ae8f6354a08f81f3a601d6c00e149d26a8beff205c1b6846aa7dd65750eaaff52210da28053a181ea4712767ddc20f024307f4fd54b6d8fbeffca6117cdffbdcd7fa5851b74cb095eab93
+B = -c225f9722aacb0d06a17c8134774d2fb41f0a7ed7c2aa1ce15844c8170bb63a5c3d0343311798cce8378a8682dbb97c0c12d6eaf650a88909f196141b25e07b9656bb5b5291b06243b4d41994f15d3877556e3f3279b2187dbad74832361120328ab470b63858c55a5c29f23396b6bfabfe3dfbb375c8d4976b5832663bc6924
+GCD = 1
+
+A = -2fbe6c1020bbd2bb007dc977c809d53e58b05879861d1817db3aafd7762bf9d7429edbd6a98a77ef04fc67e69d5d4d9c835a72298a9b396e778bb8ad20f5c620090e333e3f6f717d943fdf9b0e71dea7ff50836da8d4a6332cbf9cdaaa991eaa1f54f7881d8de7c06c5d0f29206fc83a919c02a6a8a4cbf0bf9d245f5f6fa987
+B = -1c4097c825c37f38bc5bb5455e79479f089315c2bce2594f6cc87cd69a127419ca878cb491eb3096974e2799b0923f3354f5ae642901a5e001fac9073502c2f345c5e7928e1e3de872600473cf1fd5e5098cd6d6d4eba45aa7a19e470c896ac82b118fca177284d35f3d94e9ae399338e344b605bcdd9a7d0961c9dbde86149a
+GCD = 1
+
+A = 77c22f3e8cc59e6d16fd9fecde834a7fb34232ca43948acfd0276ed2ed7a853810d8f8f26b23b4d92b1bc11ac55d294150f335b66854be580cb2f1701e00d94fbacd6cc8208a13e14f9dfb2f6ff5857f0975901cdf83f434fe96fcb48c79a1ac01bca92a1f258953cd0f4d9827c8c2e356b546951ab82cd23b5e436719663396
+B = b0ddea5e48cde4538afd9d654497d209036c155786b934944223cdff235d67f7d1b3bdc2d17d438ed6e3391d7cdb9498101cb77eb68993d0fc31ae4ee2a1e029337d45d17f2b2a112a7e46d57777a26d1d0c5f16056cbf651b764d3dbf09672bd601dbdf8bb92705dd74499d7bb9484ee08efb884549a30e4e4ce69d6b1a3186
+GCD = 2
+
+A = 5eda6669e068a1ba60b72f72c8134be45d11a15fb0d804b0bfe4570054ffc55d70e79a50cc878ca7eaeffb637978f5588b26e86713b3cdfe2a091593ea12566dba239270708dbc8f15e798b1dd831724971dec5eed95175359e1d92e637be58fbbbd70e62e9683055b4c35b978a9f26d59c2cf04f985fecc69fd2d1ba5340191
+B = ed3d33a6444ecbd6f2a5cbb2996e4d0e33a9de4d391935b34fcdf8c5bbe21c4e53f9534080fa991752355c327f2a69b73c71e3b53dae06e6d42ef2df8f5385172661e38f4a59785ae41ed14310827b13378cd623b115db3bd7ec4a20f995f145ae9411a5a05c8d8998b2f4406d7d53f66c4ffa0fd09c201e2740e48fb16d2c33
+GCD = 1
+
+A = -8fdd32108f2b9ed4db0987defef367ed4e79897a67bfb1e0874a07b76f7cdb2170f06a76b4c688396cdbec7fdbdc08445f8a2cf9077fb1b3cf557701ed0ecb52871ca56b797c6a146c098ed3b905b0472f5f9eaa728b4665f6087801dbf3fef50a7ec1541b2b4e393a753fb7a1340c52951decf1ac36a92b992c948112e02139
+B = d38a1bfb7bda21ce6016fa808d0d13fd99c2b0beddd69946bcfd107ee58f4ca92d55167aede394fad4eace8db837b2cb1b1d658fb04697042ccecd358723533f3a0c1ad293f4bf63d9458ecec0b88a1f544c48589ab675b27214660243bdefd71cc5119c0f2c00d722ff145ec4eb97a51303c57d7b9dd4de86e7b715cc53c251
+GCD = 1
+
+A = 141d3696ae5d9bddcee491423e95edc1417011bdc431cf08bb6c1b5816040e7114c3d893014a431677091b9adbb2beb96e414d1c622d4ae6f16f50402094136678d20e976355ec2d9d1bb6e4da2f53ed42d50d7fff1e5898c1fc18dfc73d5f2498d76a584d685a05ad8bad3d35072f6de8f24ca9b9d8bbe91e386a1d087ed994
+B = -ab89309a3f8d5cd159bdb9605bae55b7b8767540c40372d88368d312bb3f56f0278020601efbdb002c9dd82ac41500d3c6fcbdd0a61ba9b26c6418906407fb6cf9bd31c32a05917fcee3e159c635d56d03036874a836b6b56718a92f87b1c0732115f8bc989dcfa6cfff6fd89e10abc3edcbce1123d3f5a95205305b7baacb6d
+GCD = 1
+
+A = -eb6d7f4c979a83cb28751238503d9dea46c2003027987008886e3c36a1cf6eee6911dcb770f02e36e66f1f910c71ac359a0a32bc9015844f2cb6b73b1016ba3da4eab3fc97636043e75e6ee8e9a428b58cee71efa018dcc01194d44c47eba3e51836ddffbd963f71d1e05662b797c61bd1e78f8749025b2cdce2b572772e5d0c
+B = -6e559ec50ceb01590d5fd485d6db7f3d48c626f9cda8a9d71b808e7dbde671b16607637ca894afc62ae7a9f8c633ff80e8cbb1ad6e090b1e22e2507df844b3a09e36f8023859409a5cc8822a074b8a44ad5b4eb437a7d047601d3d12ae7fda35848375ffd6fc0cab63f3cf7baac905f58a3b4f95e26a2c90199383b2432d4835
+GCD = 1
+
+A = f1465dd873ef240dc4335f2bb33d07bf8ae15fe3c94cd7924cd713d00a3429c5064ec235478f797aa1cd24a2934719026d4aacde50c389e06a544bb1e972978a2334c5f8367c36d80f58cce964d52cc83ab714380f3f476d542b40be1c6a53568353508297bba337db8262fe8eb6a821877392bd5beb78ff364bd3492ade2bac
+B = -c9ab219eed80b6efbc26962ad411e9d9afa045b1803f536e06d2dbd04e61d2c35ab79975cc00dfacf7be723d7bbf38a6e9535b2c0b477d87388f7d9f1a8747d148a55c729ca8b1212dd19053b45e7ca661fb263cd25a83bb6902c6227a4a6a84dc8cdace1fbc9853c44fec83a553e0bcb0c6cd9e1b5bc3733941de7dc1bb7df7
+GCD = 1
+
+A = -a1e8f6bc59299ba9d897da4814d1f001db6e818a550faf6e74edfff1a190fb2cb494fdf596f2b26e605d9887605d290b0d2c3fbbffcffff6785e40ac438eebc185ff84eef0b117268a6236f67b679aed1edda5b1646335249057a8c503ccbaae73962ba48f007c5240e3438762e18859085d1e2c53516b16a19634ed36e9ff99
+B = b4c03a06b61ef97735420d752d4bb654b9771dcf7deb718e9a2c3e144afbd0602e51db737b27b6cc5b563a30a0a0d2b4f6ca105fdbcfe7e4a92b20ad75c09352aa1087caecce52d1630d31acaddf631f94c8a087b97d325dd3da4c707ee571e45bc7067f57d296b351f3f4c1590450541943fea9aa39229e98315df01ab818cc
+GCD = 1
+
+A = c889e6a57fde763bab859a8da39f6562f34aea39ab9aa78252658eebd35384698d76d7997e034ab41e992074b8292b940830de7249575db91e726008ee46b49a95426d2d9928312c63f236ddfde746d525119bb36e6d9be88a2de2b65dfb1b7bd9ab6b5455a9e86c990496e7f5af49be2fbcec9984a5b07b3a4ced120fc7baac
+B = f9914fa1cb14addfd683057b7dc4cd1b0a77ad4a89d6098635ddf2cde544ab0b62c9fcbfbdd80e24cc91c09604ae66c867d3322dfbf7728813242dd18805ea4f16b4925b57ebc3b9ff77e6cc84c8f6903176be75243bcd6a9fc7b2c72fa65a4f1717ea2fbbdea31e9c112be6abca89567754c333d9bb0971e2e394147d37f7a7
+GCD = 1
+
+A = 69ad50c29abb11a952ceff86b200ce13e2ed389b188eee0798cb45ac430ede93288fbdf27aade0a22226fc567f60cbb553d660713511b1535ba1a60ad6932a774235395682763d705cc7ee8deb17c0835ca0c68e2c401b28df8132942e3469b0f9b1455bb1a4ca1165f868a0d5d3a95573a174efa15cb258cab439aa25e6b117
+B = 4fc289390ca3760438bbeba3c0643faf9aba231bad37f9dee804afefbdbe405e7474001403fc28d69a131feb19a7dc374966c00fc910ccf08a9bbad00b8d54992d3c6b7b88f7053704b8bbffbdb952ecc9b74ab00fc81487ff145d2c0b114a4d0b3601ecfbf9fdf0c427fe438cd41e0dd4254b41477e17171f2944165c95a764
+GCD = 1
+
+A = a6958b10b000af19622c74c60e835b21b364df3fce9f5c3f426ee379c362a55b3f255b54a98f6300188373ba049f91b186d5cce0774b68400f4c5c09184e8d2dbdb4b02608881fffe4d5f9b32c4bb51b9b4799f1458069c3947485e1dc8bb8b04a21b8a824205050b818dcd2c79b7f935864ae7a686574f3a1fc9684cab8672d
+B = e12f293ca9f9bfccf620b3035df8e15f2a6c0cd6f708fd0fa5f8e22d5209a85e0f30293d2f9785cb40c685ca576c5f202cd56faf995f362990b49cba88a5ee9c9bdc85946bb228797c424fdc52d52cd9a7818a822aaedaa1b05892aa455f4a311bb86b71222f54da47ac466f957b37fd93c498aedf051a9a2eb44fcdd513cce3
+GCD = 1
+
+A = 7e7667d9c324c4b38a6abaa9cf16de74c8831cf96486d563efdfd97ea9fd547e79b10bfc18f05e685ffbbf1784daaad2774f209d745360a45e3285683784ae16408193a2646fc4437f7ad839fd53ad923d1db82c90fd6c7660b7bfe2f9e821b0866d0f6244418dcfe6a477345e54e7aa57cc12d3e6a0ebc96f6e42a953f42e69
+B = 8f7eefd5e9b340e6c31e9550ee8657409267bcccc19cbb2d223c81faee21c7e7c61a5c68daa98ce48c43b655abb5255de29bd3d1136ab7e46fee2a66ca60a231c9e708d568609644e76a4dac5ac5bcb0c7e80a83bc046a8dd3afcc653516ea77ea7ff43e89a2507e75774ef9d17fe62550788548fe7d1345de98849028e2dcf4
+GCD = 1
+
+A = -f4aeefb72ce5bc92be21102f9bde324b71b751ca2cba3396b1a0cf50292a7095ab636d1155f25a389ee219b8384c49b27240ba11bc500546fd88ffad5e6b98fe942991dee7f1ec312c1cd7bd2a29e031f1f3e2daf07cae6b9e7ba0f2255c602db347a82ac6ba9e660acc60e88347deca1bc92d8d74c03a9383ad9a4d8df95faa
+B = ed96f4f15cc3b6ba18153fa6bbbd603c0d5e7a16506f62a07a68b128705d3d0ca4a234cb8bff6b132efd981069305371e2f9017a35e372431ee0c04c52c519781e90afcce3261f41c52fa7996b3d8d0b7e8008a8d0c753254f69f25637ba6bb666696048c2fd57cabdf85c4e7cc1806b4d5098dc3a1d7a05358b73c59f68c686
+GCD = 2
+
+A = ad539ff8790907f93b5d7651a76739c906c2a05a8a91cba1cdc015c0052194c7a00047201982793225bd756cfcff9078550e655ea91a0551a64863b38db92a1a9b670364b2f81f4c531307f3e59216d8cee1c179c5b9ba7b5ecdcdbfe1555b0b90db28ecb444dee04cc19d4376fa969de9661405ffe26b86d862b1985ff24e86
+B = -14dc76cbeb5d0d13cc1fe1a3d7b74ad089d1bc817b8dea5a06f0b10f47636fc7492b5699cc2f4fa1705ef06c4096e2a93924e2c16e0bf934e6f9d84222d46fa6e2c3081dc4aa29746256eecaffa2757b6f2ec06ae21f8d19308d59196fc88ffeb05dc7924627586c44f8e450775efdc85444c86fddb7e61f9799f3854e3f40af
+GCD = 1
+
+A = 42256a176668c404a39223d36216d2f7e7011d298272759e47636173b18514adc8bab0a1e147b3bb8432e1645544d7e6d2591995e5ca6743cabaaa16183ece7b7e846d786c4fd53708ffdf5b7c3933545690c42e9231693905ef8391f9344af8c85015416baf20d36d2ba91c10d4fabd2ddae51f4d2e9ae8fee40221dc0f321d
+B = a01fdb11921bf592401b5735002a4a0c3fcf5496b4d4c51da1948d2fcd5a754f51219d7d82ec312dd330398ac16dda72c15fa4cf4893fc01c647d0e87b8724303c31b2193e1113a2ceb6160fa5b0034426b5e7b16c189abeaf23502920cfa3323a27d86ac2ca026005e8e27f24b036ac1f0796143f97a1bca0505054a27f5a89
+GCD = 1
+
+A = ac294fa2025e419ce04a308b040f002ab6e926797de79092371ecebcbe751563d311fda0b0b49e1c8dd83d6bc36c2de915e7333b88393a9731a3ac17a8881e876688255db23147f489cce94aa12424f6564c8fa25fb0d60edcf0e86fc0b59f9e4228cf89a5add863c214f25e3023d60558e9615d21cb797cdcdb1caaccc01fde
+B = -f9be3436e80285f1659ccffe8e2a54db6b72d9c547fbb08a9ad92efbea1e6804019bcf3766fdb6fc33ade6d95d8558fb811c0a46422abca2d101b9c8ed7ca7184738543d172c71df379a74a03194b36b760b716577481e7e80f9d8728690a2418c94eec9aa54bf6a1867810ccca4cf3010eb7cde36d840627187c6bc2cc881bd
+GCD = 3
+
+A = 1bb748bbdf139e00cee6bb12223e1a1e0c8e4ce80f69edfda0df5bf3eef4364f673579790c88790f1d67655bb4b2f6acfc098a747667b396a3f43e47bdc4efb768e025288953226554978035909de2442212f9f5e18403e49295bda1d823d1c03a3128991fb79f44c6536456988d6457fed5b32fd7abb6c738344ba617c62940
+B = f73ab9fd39a618f4b6bebc775a73299a56484751c0bd87dfc322b702dcc1b932eba527bae1f6df286ed9b79d0dd9e577fa2f7eb0508f8c688c43849087a6738c5154fa00cb995b5a681bf32a4a8b74de5c7d24a1b17cf996371b38292471fe176b070acaa2e7d5944d1bcd3fb41f9f7496aa9d12a1da9753351d831d8689786a
+GCD = 2
+
+A = -62100d0ea245f1c0d4c44c880976dc52a5b56640c266d037c7498527c427caff7cf1ff023c966c996848b198e61655f0bbdb8406fcc55f187d0f96ab1b5ee59e98c98cf066eaba84a40146fd5118bc408f560b57a937c88efcb8be483283178824dfff90f9d03f062aeb31a53a149335692ad9615f4f5591d53f4cc98b03fff9
+B = f9956a7365254b161b2eb8286630889110b3491db671e79debf5c244bfe3aded448b8edbf43f9c1dad3e13d41980cf8dacdb4746419de22f86b2d11d76a1965d8055759bbf2ee1b96470236486359f630a929eb3180b317fc5fe1dbade5532a43a73bfd0ac43b1edbec5290faec53ab2869771d742670655a9be7bcd8971e20e
+GCD = 27
+
+A = -1a89ce2299d269abcfd05aadab7321cecd718b733ae6140d286005483ebec431cc2fddf1583bcf4050d9b527f8a3dd761d03c9bdab6c70a816d3854261ab553ce6c2b8a8d4106030877881c8da4c522f5c690d2576a9438ddd04f0866f3c63ec559c3c1e1c316d4de2b4422769b233df68622503926e7d0d76af31cd909a79d2
+B = -9bdf5847ada9f010ff2d886d635a0423d94d58529d1de24d97535174ac087d98d784125102961791b9d3b2ebb0d26af8d4c858479c1656b735f5433967a534e9dfc6d4a336bc9868c0b80aeb0a6b2b01dea90b6422bf8701fccb0a6726c2479ba00338b71f350724713d7aebc1bf3f372d4b956643859f55f5e7d46d3c7aedba
+GCD = 2
+
+A = 8e6cfa0aed843d7716e2430892a7c296ffae5a7b94dd724a53ca5895d258518934f8c57d108a88a194bc69d26c1df574ca4f3bc8322c78570086467f9e7728d8f23e5ef352cd975069ade419a334a1b7b0e607c3cebb4b47d1004618985fc330862240c7adf83bfe8cb956783d43de28f9b5ccc5100875770e46e320f919db3f
+B = e90e670b795faa3d3b44374355f087305eb84eef68f395f1985a4dce207547a5c1880d89f2284e3fd312e67ebc9ae09ce48d9f7fc25559935bbff5eda3dbcb23b3265c8f25ab91f4c604f9589d48272709a78cbff7bc693c6095f44b931b422734a1d7751cb2f35687b0656d2e9c25eb8f2e1687a2cde452e4c7e13f380a3320
+GCD = 1
+
+A = ea8c5d18a562b2a5059242c12676bca709c309314efa13acd068385637b1bcafaa752ff9d6747fcb028eadc0227436327da6c9ac38cf1c10f49ff599ae149e7fd11e0f87629cb7cfa7ae623a6c902f07974726bedcafc5666ed6c0d4d9be32c36eaeef0eddd81f8f4db807a9dbfb5976c0518393033ba412d7e6c1a717b5dac
+B = 86b840c6ea9f7f1e02899a96dfb00f4495ab9a867e98d38f78fc2fe169c50339564056d650a18490e644886e0a82d91ff9f964e807376673377f8811f1b759ba03dd674f701030d731d9e304364ed3593f6b164859fa96f9616848bf8d3f7df114dca6d978221d491892b72064cf64a8d7bfef322419c55e1f5bcfb9895b7fa4
+GCD = 4
+
+A = b8f1f9f22d2ad3ff7fd61c2207c2b833ac781b683dd83de59f1ee85d036ca933295e60337ba87ff8034a0abf94dce4741c9842c44765c1576797a11951ae97123c642d2c6e71ff974f5a20c8a57f51292c0e15ab538220719531b810ad8fe3e9c9f2ac9b67e7315b9cb786df65e2e87afd2a05629fd679a9f04f9a65b1dfea1b
+B = a974ea619e4ead5de86c2858dccc66b49d7f2edcd33c5ecca22904c6a9c6a804f00516e9098430ad924b12eadab1febb9f59883a84229f19ef22664fd6b47d19e202635aa74ed8827735ce294454aa2ee26e03401430e7c7ff91778c0bcc0b566d25c41d110f8c7b5ec407af3a642c14cdf67ed8279e76805b6031efa946287c
+GCD = 1
+
+A = 9ab3b52f06efc2caf836ab494759c8e53dba44c50b9b7e9c2e1860b975d2ab8ac865480cc5f7c6d55741b20e3bae945be87298cb42a8b462445d0e9c3273c55d744512037e104a5a16be7209c288601c23edf35fa833502305083208436400bc7c7b592e82e957f05fd6bb98e0769c8eec8352279ac62b269d4ee940b942e825
+B = 73e264200bf4dc4b2885d69351543e921ff914bca9b824546a0fa5fd9b176b20a8bee890b9165d7aa781c7f8217d6ac5d70a07211a20d4b41e0e9ada44d2d0688b76244a6837844acd3330fa69bf72c4abc5cc6b1866c9796d42e8f4fb1929554d50cb77ff55a18bf43fe94e3c2609e27e51ffe5893879a889530b345a81e626
+GCD = 2f
+
+A = -18f9692bc1adf8abfbb1b811bf4dabd84b07824813451d67edc865faa055049c45ac51f9115f8f2c19297f9baff1c1f4f59c3d59ede9b038dbd5d2955244599f28cf4886751ded5f810240d45fce790f9df593e1f5710945b3ae7893f3cabac41bf0f249e23d468006f13f69888f2850cb49ca7c929c4a786f85c7603c22bdf7
+B = bc64002d4c69f755ed2e0f7b26d55701b5b2fad5e04f60728505e2e2103ca28f0d99182f49d0c76ca882845289330e9db88926bb6989a480474febeb8b3b64aa0a7815ad3e82937732d6cf994667e309c0b508c950b67b22a20454274be3a3c2fb7ac729ecc2b7733e3cc8df24d78c952f1bf51cc0a341cfb04834e784ddb832
+GCD = 1
+
+A = -5c75650f4c0290f16f532706a9d56a63b7d3a5e0e942e733552ffd78ead7ba9172e1d5dada5888c16fc0abcdc85e01ec0ae41cbd9fefcd6736aaf0599c0014959989f5c09bc2922ab8dd97db74f8140c624d212574fac14c54cc6b3a13e54493940b33950d913db1e27d418dadd44b69d975086a841f71581bbb2846f04f9dd5
+B = 3b42f714d0ab3e7a3d6149f2d952ae870acd9a43cf55300e5bca92ac5866f34e28e1a79e40ea1794a5bef531817222c39259e595e926cf23812ca311bb3435c7efc8b639c42cb1411fcb979925d8fdb53de0d786d20ddb081e1da1272d89a1db2885f388a8b07950cf0cb5199984b7c70901926637e9d9a56b582792b31fd49c
+GCD = 1
+
+A = -aa355a852724adcf7a07c2ec7145afdeeeb1937e5835e75d675e45e81cbe7a60d7c2fed68f6a2f95bcf31dcc4bc15e9399318db8896e9b5bf21f7c63eb74207557151e9fd5cdafdf970a108e77b0e6af46eef3a5ebe21f1b73cdd2a863b47363c962422d220749a04aa598b47fd6babb328d1db4446cd1b954f75f73e54a8f86
+B = -98f99e43a024078df5ef11197328e8abdcf551aed887eff045e2c543ee98d2617bdb69160fdea02ad0492ddc4c4d21155db8f4902ab5c9bbc275a7edb61308689affa1f913d33ca2f5d0a556fd336bd6ae2dd20d1959ff78a931744afed715a09845d5f594fe4ebeb4626bd015e9204966277f9e82175689332514606e284509
+GCD = 11
+
+A = -4c74192a29f90bbccf0503e2e6ebcbfe3880c6723414ce4d8782f158f7d908e143aee42f123afb2486655d1248d14b6624158361b53a15986a406f457200d904adb99ab446467ae6fb95103c34bf23b664171d625b6c876f67dc5e6e7f1a74af5f6fd14e6d8e09a6465f311a012630da46419d46c09c95887d1ac3878e1424b8
+B = ef29f04bbde0a295308eb4c6e416e91c8236a5eceae5ccd8828a3f276ede45e8a8b76a4cb0fe60c4e08194d20c366b499d2e25a7b9c0b7adc875d36f55702953d98b257458c04ea43d4343bad9664444031a398809aa5d0946b6ff9b2c335e18243adcb6659b542d74968bce28d1d95b1c06f07e17cc1620e79b114db0a3089a
+GCD = 2
+
+A = 8158ec0bdab042fe15a5f755e090b81f59d8e1f6d1fbb4c11c21aae1c8e494f1ce6795aa8c653e7884c269586be9294599706496edcd66cfda237799df6c546d917fe071a97a88ff1d77509b0e828d8073fb17697c3bc37a057c337812e8c6aa9026306ec40b622d47b94d5602507b1055d54a97ab7d8fc7b06c7066e52b50c5
+B = -a63457087b14920bf1ab9c63d23382defe14ce5b502abd7dcba2b3f7f78f9569cc111b74ba19951d5047947a573017533021da317f901b11c7f2a62876652ceab888000ef51e3d4fab953f1267db1b91c3d7e3b559932f4a83fb369226b9458e9ce57d98171749effa316a379dd3591f5283af15584d72c4da74dbd16f058bf2
+GCD = 1
+
+A = -46f241adf0dfdf28907dc97ed2fb1a7d3dbac6bd109cbbf200966e014339317ee150b3bd56fecf4637a3ac368ccb353c7799223580882715262448bd7d9808b700ba10d761a547d9b65659efd3c501891e7b1f5d59486bf9263392e554235c080c0b27ccc6c746a8b6816c7cd2e57df346bd618a6e6167aa790ad50a0024c9c8
+B = -cf63bbe406bdf481e370e5071b1d5e4712a3a625a1dafb439a6c9e8282550bc67a56393bb9e7b8fc9cdf0d377c43559e6e72841b470dcd44efa9bc707b579005acc2481728897c6966432093f8971941ab74fc098d3d20f371d32a4345f44f57349259ba4e59f0e1c67ac1438125c41270c375517ea47a9f745cd9acf8c02b3a
+GCD = 2
+
+A = -e5aba3ea8c24bd2a084dd957dee72f3e76878b032b7b194e74f42545fea4becb386e77154aab28d940755f6a03fe4061f513ca1657eaf1663eff9878449b987c70ce25686bdb3f2667cc2fe694520365a9f47e7210b5aac817d9d46fe35305932d8262807421166529f3cdfb749f79df73e29ddd1a322d0689532f68b78a492a
+B = -27693d6cda42168573773f5fead3ba37c9357a9004f270cbb381c8841af9f5b665db287e08076e92cc7e17cb96bda789fda7ac9828a3f50199b57303e8fe0ea4218c18a435be863f27a0db4ab5361e490f806b25123f4b48d099df9e10fa3bc233a76286edcfabb18c27a0c5dd7d05a69623ebcac8919d0f29f21ada1447445b
+GCD = 1
+
+A = ed01a476a5396ec18bea640a4e84bb7bd58ab709196da56e2e1b68f78e728e2a57f4f1b07e783c0985839955188174ca213e8ab41159e15d352570a74f716f581137995fcc226c662c2999c1fd136d51ce56e8b1a241e45a49399d3ac6d9d665e11cc0f6c1ce343ddd09fceb16a40fe4ef4bec198a0ddf4c0f8dea0152769bf4
+B = -39412cf40b9991f1693fa22aa2697ea0332dccca7f3c6c91c0bbbc34253e2e3d3bec4684f660933c96d77ac09a5bac970de56a11a36b898d4eef306581c3ed829836b2767a7fbef0a390a3e75658ede2d32244ac3b88d0625cea38a1724e3050cd56f12999545a9583e5262c791c5c9307953b5246a1342064ce8fff5f55886a
+GCD = 2
+
+A = 45ed2e42cdd46ebd9428b2b16448e3ef9d0a4e62cc24f5db01772d3ddccdaedbb3b326f45641204fa3fe9449a62afafabed9fb46e329bdced67d732b3671df82690fd9176501b4c6703763b02d0726df1d103f6de16f4f1ac11d3ca7479141a8c418d775910ebe2e12d35c3f98be593e077c006d68df2f7566a148d73f89839f
+B = d55b0413877f29d4615e01d77d63c648dc0c49e403cff630aeae507839027fcf3b10c6e529d53c0efe0d78ccb7f2eb160c854a0cbb56296481825736bffa81cf4c53a30ee568b76b1d33a43d8cd6f0c5495fc7c1687fe97f0973e7b2cb196b9e1592ec1805ffd3332c887350ca356c12187c4f6a744ee6f01785cf6b4d3fb629
+GCD = 1
+
+A = -689cc64b461c27f2ba5e0ee0e92eb1169ad4b4fd5ca342312b9768597174035ff3dc60d45b88b807c9df3f96701bf3691bf207542cd44004613e0fdc6fbe17aa3099d365531f8af11920bed14f10aeb2c8145c325003a4e5d661bd308eb023bdfb2d7073e4da382fafbc17e37bfb381b4e1482a6a9cfef75e89403fd5f5ae822
+B = 8c396d16f8f93fa2588d2fe23e4f9290a6f063ffa8902f5ed331ce8e41844ec7fa39190c28ade85e63ac0f8de14390de4365469ed14846c4983493974d90e9a95e746620eaba9210c8e2dc65cd8b736a0b69db069377d2cb528dede5ab1b8187b3113c6dd29ad30336ccab2640f0db8fd87ca3b5efac7646be0ef282b292ad1f
+GCD = 1
+
+A = 2c50be7ddeea610c09882c68f159759092d7f59f015c6e7bfb17dd37086c3781d501e2d0b070435d00c830fc925b69e3376858db4b05de2d334c9b85274eb3f73f1dda800b5ac462cf352b15f7ac9999f5fab3d714ec72a589a727db26ed26c68f89cdaebbe1e34f87a7386909f8fe15b07852b6bbc561a578c32d5aae059fe5
+B = -9238dee9e069e1741534521f74f0eaca7bb444da8722189823a4d0f15dc45410beb94fa3de6a8c32d6278464c1f668013ab49298e956f73e62ddfa29b64fa16a7dbeff63353987d0fd541f5bc12cf941001f31842dc3e904f02926062990f552d5ca8b0110ca414bbbe4a4d63df4794768be41024261233834c4e73b6731a995
+GCD = 1
+
+A = 5fa96a794101f5988bb9c0f9ef767990676326b06df4e17250d5c343e0ef0b8b47061f5200c2e500086d71210e240d75aae00aa1fa581cf377ecd908a560d8cb63984321a2a1c181e300bba2261d3f74c58464dfc198b2381209f448b38557172e734c00e90ace90834b9c1eb4632c9a841301920a99a107721914f802a0a4d9
+B = -2bd44b1061aa83bd81c67fdf8aefa58613270a82f0807ced4834a5be3d048688d1025e3acd80c8962751df5b3ba928e1b5b0fa1d7b3b07007617854d075e7ddd5b3c8f4b984c2c9c386e2c181754c2e5726b80035a3b2295e1bd1890080d9beccce1db010f0a09865b2812c1e624da804d1294b034b6b5e86d23b23783f8194e
+GCD = 1
+
+A = b5c8f36365148bf442d254d79aa3f6ab2220198eb38f2991ab5e541e4b6b85ebec48753b979d39c03d8594438bbb1fe0d382b505f05537c43428ea9680cd4f52f60ab6a23b839efb9d7984e425033ce769d58afbc052c7643d4e08c932b9eb4e49349a3976025555caa874ddf02fa22fd4720947a8b143a2f53a9a822b1161d2
+B = b1b9e9a36bb68e300ca0e903246628e77c98d932ee137e6be07d8e29277d3e773e996b1bd54dc6faf4cddd7a291dc84ffc5f86a7d59f86037d25080f3d44078261be7ab55ab4bbdd4828c8c4eb8e9c842e6c089fcd5bddaab276d7aecf51335958a083176f2421a4c5b77c887f90621f8fb43ad6bca5576ae28402cd58f4a1bc
+GCD = 2
+
+A = -2cc807a3d76dc0860cf497175eca612be4e42167e2200659cc022d2aa8d6838f62771c9bb2c4894bdcc2f13a594877dbc3bba1eecb7d58642f24d30186b2dc334d5c4bb2efd4808d61a7735127e5c51383e430ba547ca8a9e96a4ee73636a86ca9b5762b14b8449ce8609b7fd3be627b0d9747ae3a1fcdbb9e9d1667544fe033
+B = c1ad7129b8c5e39d2d588a9f9a4c15dde7e641e6996ffc4f3efaffec423bda64d0f342c6f992866bac067dff2fce23bab4c761c98c3b2ff4705d503426b84d4ab25bf6ed9646a346739dfa9809cce9ea29f040913e67cd22cdd00d5f6de055da49d1439954402071113a9b72b4dc25c114badd87e05da3cb896457b9d8674a89
+GCD = 1
+
+A = -32f71d850eb1eb3fd4377095b5c5a0de35e45243f1862d4d44b0bfa518ce746c9d051f1e9a64a48888c832195b173edb3dd9b8d2672024b4c3b7c70164fc5027fd0363b30b178ce50eb3d1fd29b1d6183a216608d3661f8a893ea8d553f3e3c96e106a7db0db715c9356c6ff14ca5841d149b03dcf8a2881360c332685800dd2
+B = b2b1eb727bc60c5ab24f8a6f3c547ece158b74f5993a9fe005e1c4942effd1b7ed2a1ea6349a310b85d03b555da4044e362b99865afe15a3671748f75cd5294c62de81c055e3bc116580b75bbe616063705d36e6c468418c836c05ddc753f8cb1346f09a69aa5f54d2997e990110317666ed32a509b1be077443e8b742db743b
+GCD = 1
+
+A = d95a2a9d45147d170debbf4156b55b45af102ee2dccabfc99c8d0fe38828478947431aad87f7ffb084c8652560ab029c70e7a1d0c6d8219bec65dfa4f3b47f62eff44c78e14ae12062713b98ce00d94c0ef459966394d932a3d77cd6ca0a3989c89e3fa5badcec441407088d038196c4afa59593edd209cb0e4b85ad551fa92b
+B = 3697cab3f684261e009892cb528727f0a37cddbfaacfd272333b514e362c2a15c486d99bc2224e7ddf51b8d49dac1445b716901bcf6fa7cb5aa12e69d9f718b1c6256d16bc0187f6f0f9163bc32406cdaed25d47758280907bb604323f6e9492649cf52c7f2961958a54ff5fbc57eb91e2018ca3d41f043a3653c8855f3a0247
+GCD = 1
+
+A = 24ddb0657d11a2f57859018bf81f29f23d5ba0c62e70798ad802979718eb1d50ab501ee26da2b91b2400fc9d2f8456e579a6450c0f636aa8212f9c225747d2f2232a02517d08334ab96c0aeb0daee71afd40fc47ac11507d12526d056527571fde94c940d600c6ef1428c89cb4344fe2dd04807b12b01f64d41bf78a41aa3820
+B = 4a2bd79379a02605482ebafc3b86b2da2883ff897a5aebbead62cc1bd469bb355a397631314025e78af5983c9a475091f0a237a95b4123daaff1f8a49e8dec76cb1e3d210dd1b88c4b686b9dfbe304a8b813ae62ef3b921b77eb836007c34cee38986f8184e3d5d9f99f0676bb2e3fb5009935e5c61cea295f7478f7d7535fa
+GCD = 2
+
+A = -74ba1925c0860eb2507bc3d248cca2272763d4f51334fddd21ebbcd41b74626634b34cb697cf48e5d4ac8310e0d6dfa37360990b78dda47bf32e2fdf33755d908fc63bb191278405697bb3cfb7d785b9a50822960a2b7b453f8060c08327e3f723d7825694f84ee122a185538f434ef6962d6d889950dece705ff25f657ac501
+B = -c144a90bbacb1ed0c5a5ded71780324d6dee78456b67585c57f6f86c7c64e9fae64faa1f36896d9be3252b2b3cc5632baebeb3d82f77bd6470be01897eb17e70b49593db7ba4675f802650d7f031d45544c428522780fc6680c50f0a78b342f8c259d0253582398a2f2245db60eff372b3e705e58cc56d9e621b1e3d718bf454
+GCD = 1
+
+A = -a4536de10f37ed1ef5a256b7a1fe0bec93350c4cec8d151fd53c566898cd3946a353f187c769b3b7f39abba08edf5a3b5987b56e2780605cf224a759be00328fd99d7eb5c76a6800586e8fd6d3030bd9220198e8278499520afe15c7353adbc403865ae2e33f9d75ed703f333414a374a65ecd6d93a72c55d97b5e0f2f14b40a
+B = bc65a4fb99f6edac37bf147b08b8bc9a59988907c719a0064f9d6de1c6cdb8f839809d1ebf744e0a02d02a36c270e879c5a7745fcc85a986ac4dbfd21ea6d2944a239e34af1e8073caf046514ad2fa5032b5c20d8c708d5df47801a076b15d5c1b140620f46a5024b5d9d77cb22eaa557d2db9743445cad2804ae94d97406eb2
+GCD = 6
+
+A = -a545c033a325fe399789ce9a7a645743db86936c5e0aa6d16bcde482a66ba29e43c558a883d9153e17cba30e734679b9528d35ee3d75c1efbfce483501c6dd421f4914725de5304439ae86b05070c7d9c3b3a74f69b5e625138bd5cba8b0970e72798a9e2bfe30abcb5384e6981444b009593cffac3c47107afd5a72a2a07621
+B = -d5611d3282e737ce71460fd387cdba554681aaca0840df41814f378cee57e15963c554f17adae711b6a1488f9f4349676e0f2b59a115f43ff3b16f5b02121121a5e29f7e797341579e43b4a13f5a4b672a2868d843c88c2e3114a68dc33fbccc9c0a0234d9ea64fb3fd97e17f1f4f1f73ea757dd21412906cc3dc25ce18d4d44
+GCD = 7
+
+A = 6014790ff9839cde9e8140ceab2a5cb198098feb5ad5ee17edd581c4e74cb8758b857f59c91525c40b2d147890ad8f1af8acd339af61eddce824dc0fa735efd3a2c05eeec46776fb306af07683dcc10ddd4921d34cdf9acf9e1ed8f798ca556832cdfa5a366ecd9c8630aa62f5f6f1dbd154e7d6660d11293ba76b5b6b8f74fc
+B = -7a82c8643075a3d923de4550ce8718eab9954353b35dfa99f3fe9c8da450338d103274929c6bf0c682b7b1ce3b41998a418d96a4425186fb3efbd256bd0c9edc11e896442d13b3a0a30690cc6de6aa533a55320df2938c04b5bd029a5b308f0ee78a1482495b60daf8823d6503434cbd1c26f776dd088096718a9105304e2492
+GCD = 6
+
+A = 2f94d61eaae0b546bf54b558ed624106bba5c4b6150830e30b46ffd1ce324f2c604a8161adafffb09e1e54248ca0d9a0a17b1f50a4874659b7064d8399430a7cd4de3fa1f0dd66f1ea1971581027e5cbf4c46268ed10a878f0e9410b07c940ed20381a86bf77dcb23fd691f76676bb197d6103f25690f802031bf547fb798741
+B = -3c5544370a941a85aea5ae02c70eeb376eb1b0671a0b77ac40d82e2da46c48991a8ef6a65129584949ccaadeefe238b64efc360137addaf5195675978acf980e7184a4757ba246bfe4fb3e8879ad8e6061c0782e398e2af37963f25294ba5c819f8645a330a57c1cb6f9a58d55acc31be9167b9ce8f6f5e0303fb125262612d7
+GCD = 1
+
+A = -4786d1607a1c67e35da02e38d639d1b81bdbc3878ba01aacf4a8a9d52b8d4ea23e76dc5677e1e4939fe14d0f98515bc0bf43554fe9f1161c155d005d3e96e543c4ce08d2ed891bc581e33a6dbd9661874a62d70c008f5c3b58fd627a22af20a180737742e815616ec6cd80c53932f6e2aaa73e16aea6d95a86e368f0c726e138
+B = 4ef4dca39afbdc86f8f21c53207e7eb6abe43b1fb044265302aaf9570b3a00ec4ab5e18b3910049a5414f409da839f9fee7240c86cd31839e45e73413f0ad3183bd57c0635e2375d0df0742e3dc1e65d92910cb0a74a693e257e0ec1d19a804954b3f08001c3379002bb798c267cc73f9519d100d129c050cf9ba88436a9cd6
+GCD = 2
+
+A = -6e1a665d401db6eeb03978c8495e3a5702c6a48dcee7ebf25711582cf27deaf0403d16c7022a7766024835c92259a6a9878026d91c50cce94ce8975ad0d092a521a197f2975d5a38b9fe48f8b14a247d67f0c6620ebeb11d8702fd298f77ab5a46aa6497e0e3665cb6b889a67139541ad8326097bf4c2e1a47d221856d74bd6b
+B = -59a2474909e5e944b00562cfb5745d828b12a5ba2ca17fc3d68bccce25adc39f029fb993e91002b8edeeb6324458e541131b760f1c113162887ecde888597dd6c46961e953e1a541b45d8b852d201ae6bdd172cfd100c00d76a4da200d7b819fa92517914f5f8d6adb96d365e6f1abe944d927043bfc29cd28ca41a4a4810154
+GCD = 1
+
+A = -950b093253cb0facacc280d0d0ee3fa0a273411c32009962b7e156e0786cbdc21e4695bed9ada656c513d25dce0f0807f695ca386d89d5434cb5f3a72bda6b8c0e5521d55b395b0f613c1fe77eac265abaefe91126ef7fb70bc7c3a859b0d5bc0aa848bd4455a4b50ec2aedbb1d585ca60e1d5fc28c96db7ce532e07c381bb7a
+B = 50f3fb76c9b2098efc136ede4bdbd1a8a4a341361fc0bae9cd12d66e0e64a2d5b5ab407613325dac205e06b645e3a5bc1b60d92c9c3f5367e9026013fc828e9ad4f27b1227b643f880e86c11e2829dfd2d8e619c1dbf497a772cb86f8c63acddf78f9bf460cae7d20416255f3685796887d27a6bc06e49dfa397487397422f8e
+GCD = 2
+
+A = 5dcc986415f0593b9bae27f6d9bef08249239d0310e3e911fc2eb27d75e0c8e5754eff06e2a864981ff69af3bcefdfe0f990fce0b50385988910993417463afc4f7d408664a817fb7921d2171db32dc7dd10fed62d76cd8fb4f59c91f90b58ff973eafc61aca941c3cd9195e67c0381c4820830a36a2392f9976dc87720e5f9c
+B = -ebf3f0a9d7e601b6f7b32d73238e404b01053ef443abe334139b366a927f876f2e5ada10a264a96d993ab73a0b0413d87b5b5f0da0f47d44c317f7dafb1b10abcbdef62fb1e50e4eb6dd4c007b2af3efa398cb0c126920d7527ac14d92afe574208995c62a6a0e57747c52f795b5c14848eb9c6fad9e995ae551e94d6a491930
+GCD = 4
+
+A = 113588007c47c8446bb9327edf9927741b49dd860308265b5599c08671828d884036530f50be121ce42701cda05b48fa6fc0c523d11d6ff9ec77103d43216845026265bbd441c5b0291355dcf6a70ad62113ca9737a2bb380a5ffb2af186e497fdaa536a613d66046e1fb6ceadf734f9609c6c04547e018139f871272bff16ed
+B = 2ee5821cca2bf68179241aefe900b017822f48a2258dc7430c8aa361cf4bc57185dc14fdcc358d3219243bf2031f170b651a9da15af58172edf783092ae3cee1b1152b9e96faed54e36b47ad7cc09c8a9f67991024cdff3c7f02d2c9884b8d6611cf8eaf594f60637a113a1c558badce1ae038f36539f2321d4bb0150166d203
+GCD = 3
+
+A = -f0a5f2f299ff6ecd9ddf7783a146ff16de2c5824046e4817fcdf81f2bf98fb77079523ac29a72441323c0d2f03e6cb1d30507018912935b8d7c744189b938f95d16472838cbb201c3bb13adf06d289102abb45c9897c90530454e1f74e3c6dbb4716c007557ef9dcd2160ec2350fe4defc8d2688a8c23e38faf957bf1fc1e1b9
+B = 998339cc35c2a9c037b87a81a5006f432c1126ba4e730d1ad362bf03895c0a9eb5def7c2dea1c1aaf68ab9c8dc96e82ae7285181d237c5b78a54119e4830809f52668366cdb1ea0ed2813a9d2afdb816b8f5eed82080122effb3fdd126cf1e2da6611b0d08a34184fc7a62421da140be3189d2d6672b8f562be9c83da10aab7b
+GCD = 1
+
+A = -39f3293480aebc9e9ffb9eacd6a5931519b463deda0cb1f17fdf15bd157bbd4e5298a5a26355473b3ec3df00cc10bde46cefdb5b460e68a08162c95a52d3fa9d3dc0ce86c86e02f490a94198c8b367167feb7cd7e5749c2d8aae5064ce3e89dbaef716db72d6b91a742ae136fbf07dce8180e694a12c976ef028b8f55680cc7f
+B = b5ec8f244eb49a949f59226e2d1c2861b5f1730a98c35bd8a17d6b9618619ad5a38d3cea3371979b917e75402535ae3dc27c864957866691dd4378760850f43fc1688612a116d1568bdccacaa2e19a313647fd9e02a749123505ca010c0149837009e1bd7407f930baa68b4c00b5946dd9b2ace8790b0afaa6f7344b86ae27bd
+GCD = 1
+
+A = f20a84c97750699d43ff9e226de9f6b361deacd8d7097322e940f8642ce072e6bca4169b38b860e7103a38714346293b84488bcd5faa606c64daadd186bcbec1595abdd4a43f1170d19f46ea98b205280abb6d51b959654411093c79cf48f7bd48ac045f22d8cef5470d9ba95beaa64d35ca2a6c8449e3ed68b8e2aa633f62de
+B = c33f2010c87dba2b97e3e3a21967fa11e3ccc63093a0e64fa157ea73d9d8b4df08b7252c69751ea52775b16626da8868c31cfd74f4d582688633f8b8557f2cccb80b42f7811c79e4c2ceaeb168c084f5899209b5b79d154941052b43310090da44c4ca540f790c92a4a049ba4c43496dbde310f0575c84e9bb50abcac5f1b917
+GCD = 1
+
+A = 6cc1106b17e4d67848326d4ade3646de27d55397a7b22f620c9db48758307db9af9944d4582550724ac5f37fd8060fb2dd45c8fe3eb7f2a179853eb0cb186a459d447af95a9540e1a2a44d91b697d66cce28eadcd61ba38bd5e818e279531c654c4455f775e4ccb5ff8becf4ad64f9a35e8184b539171f602043e6669056a526
+B = e8c79e03e683b83ba549270d76ae3404d8479995c57e2dadd728ca22d0919b64b4ca36ae53c694b45123d68970d9db4f31acdcee16c375010fbc954f27b37aae4c6b3c1d9d9c762f4db1250b056bb20292216e1066dafdea119ed9eb4748d01018d1b0a66bb1fd9f6c9da05cbca502e6ea24567d1f1f72018ba5bb36bcd04503
+GCD = 1
+
+A = f1a3e6f4dbcb46a93a87a346e734cbbef90eb5fbe1fbcac34a1d676e12a2f9d20e0815fb519c69b5fcafd0bad7c750aea40a518adfa761572577799e196fd727ec31616d6a230d9c7f9c40d27517672f84d063b958140db929a7cae00201e0e6a8cca516f5df0d749f64ded6cbf80646f8f689fdb87a3d2a316b0fe5cee75375
+B = -50383f56f74b4436b1b06d7c5fa850a2352c21052eb22f1f63c441d6bafdd5f42648568b58ce4bc6a52ad67389e47f1106500f46244c71184b8882a1efb94301a1f4df6ec313ce8acf5b910cb90dab0522c3a1cc3f581767d89a7ced685f7ef04832c839e7d9c05b2e3cf017f98c28637b9e6e3d9cb68b63efaa2d0f863e60e4
+GCD = 1
+
+A = cf5874c419c5da8df67fcc5c4e38ad7202fea304e92d222ce9a32240d8c27252b97a750489e6c049696a70e084ad76ed9345bbc400913a7d0a05d399f35d0f89061078341fa071a43b7b2cff7fef6c8665abeae78068914c00d4593e962e294c9e7ba2de84f342332163c72df51fff325f700f37a4624d0a944c851d7ef8d05b
+B = -cf7128b22045180dac29ff129d662076c75e8eaae91dfa30d3cccd3ac68f0f5b41075f0dacea37fadbbf9dc6fc15609ae49bc050664a4b8032821adc5803064aed95745d201933989e473abef9dc3eb818ead872ac06be462e5bd00c739bac1f1945edd3208d93650c3802e2ecebafd99f3a57bf1779ddb004f6d5e91c2f0f98
+GCD = 7
+
+A = -e9dd0c99e2841cde43c0308e62edae5b900e06c6a5f9ac38df37f26e828a701f2d370fe38ba0c21444807132823e925641014a935bc075228bc2077694a77e3f0293ce91cf21575fba9c134970dbef3952ee278138dc0332fd7f272915b46ca671be36b4210cc18f32a3aa295e4f0f1547a2891be16809d32d51c606da7c9184
+B = b114c128ef14e29829be70f79b5572ff84c62a9f475e962817a735b7b5d9769d7c75feabbb7b60f2fa9d85f7304303f50a5974fa2d77aa1603b2c59d4a1a53a79d511508ed081e1f07bee018b5f124bde2ac4d06d89ded82c3785ee6279f5be4376af498bea796dd8118e2d61c5f413afad65da9b48f050958c15dd5ad6dfae5
+GCD = 3
+
+A = -b9c226c716819abbbdbadea4448c67d498c20f48a44c2a0433a8e800cc333477402958c32a56c1d74c37e07a8e59e66b591d6de8ac1f165c995a07ea45aedcbad4b919353d8c18554a4cc016a2fba7f758b98478e0c139a058c847307710f03fed087abd3986b90fbc8a49342d8e3874acf27c5c947cb00fd6c1007a2c5ab6c0
+B = -3853034d982efca21362ace215ad28f524e7b3c82d5a163643729899b56d11863dbfb64f2072b387e7d03e49710a4e51cb09b8c080b7c0bbe1f364c7e654d41653b0a23efc4e9b2195c85791618b9fef7fc6ce841d638b825bb3245acd167181156b490fdbcc47acf1396236e4e9d35b7b634e0ca09f9755df216a86fe868060
+GCD = 20
+
+A = -ca848f790211aa3f9c17b1c8d7ccb7a36eca0a150f13a478a6970995f84db7e4bcd59efd11e5f5a523d691a492f2663d45e63a481a4763364e97935c11adac592e5c054fc9e10919e3a0979e671fad9d2a7e2305c9fb65846bc533a15df8ffff933a4d86cd86e76a17d9388b1ec8dd089ddf3bf2765641e43d22f3653bf65ca
+B = 6945bfc8baaa501d2affaac88af992cace4371865e95562e491fd53b646d020af185330ad3f86b6fa304891e28b1307758fa0e9e09c2c5a8c129eefaf9fbdac2c970c85a86bc2d2726615289ade108996988bc7e0b5ceb3ad8fe7674fbfe38dbb5b2261bfc6cd78ee422643405a36761612ff4a1f5d654e4ffc0c60e0ee1dccb
+GCD = 1
+
+A = 181ee8c341b8dcb5d4b4515297c88bd0bc9819e9fa08a87e2c2f0c9b795d34d566996e62dbc315d9917ede71e9e67618c56d297beb910fed8187ce7ed6d419c83bbc7edf0ad7a0701fe61a8556dec2f186d6e7930f7b9bcbc931806e70a21635a2e8052894d33458f2017300e570e402c0110a47a2aae60ffb29c7dd909346cd
+B = 2e1018a9e9f35473a0c3011be046281b8202596f508aa12699af8ae8e8fcb3a4c055d0d525db02f7db5a0863147a759d2e6ea13a1639d80587d15a9613326119d5bf778d2a0e1af8b8d8ddd8b44df4cb2fb8a260178f5b9d0ab649b93a70e3d55adc96fde81d6a8050229a908762c62b1169bb179973ac3ed3c048b1f011b5ab
+GCD = 1
+
+A = -aad18976b5984713d5d264c4ac56be897bf2d70a496619e2bd61885d3bbce349e30aba60eeb1cb5ddd03cb3514d02447f655625a320d8d2fca5b873b4c38f2ebadeb2ad8ef8f496a7e980af0f8c882063e4603392430f8264c3d572aeae97113d418389adb586f00b4092f69d79342cb560da9cf92e094b967c8bd1911babd50
+B = -3331c0ab5c3a6c72fc14864f6e2c05d178ce177bc1a94989095c5fb73d6c583aa62e35a5138d75ac5d20c83b4544401a1808ce7e05d2365b3743b75d184550c7f1d2557e701109b958f2d1f032143de5e5cdfabb16ebdc2fb17645098ecd693399c0fc11dd664efc2c377b958eb8a562d0b34d1ca0bfe86e4ebd98e85ea0cbfb
+GCD = 3
+
+A = 408b5413fa8d5c237ca6f74452aeaa2dc0fbce1db2d845005e4ae5e73bfa4818ee6a4e1731480418af0e251ed76b9972b756ce2e96f6e390bc2efdba89a2689ac6bcec04296aeeb398e0a3166c89a98a2f14b5935cbb3f91142bb971219ef69305648a99aa042233c3598158bc09ae1474f32f30bfa705ea06fc7bf19be37332
+B = 5082ade7ef9a105e88f4d4f2715f3b6fe8810eef95b1b22e0d9a4de772553751c9c252328063cb48470c417a2be131bdb5e7b409deff69d5f7e9b8ee523d0293780fc7536ad2ec41d3b01d11ef0d3f26ab5ea49efe4ca962c2a1a36f4f92fa0b2165482f466ee3d3bb12ffbb9468a9b437d42b54f10e8f68ea4b1bebd4626796
+GCD = 16
+
+A = 2527f3772ef71811694454e161760461a85bbfbcd23f0cb908b3b581546d978885f07f2cebf7174a51143d5da4dad390f316bb8966d930542b76eb307ff06ebe92092bb6a1b5cf9dbc00977f8f1889a53da233ddec5dbf621adfbb6793ec306b9282596320783ae30be15ec22ca1432b77207121c564fb9545db2f4506819d1c
+B = -982962815ca355599a96257aabfe04f43c520e3b9e9f16f33803be223208bb602bf61dd2bee6bf206ed86eaf09c65b3d5025cddc4554a5cc194f954d6949b9275ee42bdee6951ad8cbdf69a3aa3ed05bc8c37c436a06e48d0989b8d202a224e9f5880ccb56c38fc989f81629bab118b14200d827b39fd45ad86a3c275fb5ebe
+GCD = 2
+
+A = -c721e3e207853ce66001c076a1f95045f3347ff90826bfe976d05f10af4aa6dc65af4df82d246fc05462a1d4319e7bdb01edb242184dc191815e833b5bc143c332dfb3b7a9ee49bd7393866988d71972339078f6c65c591cd06feb24ce8d67ffcbbecfe08610e39fc0cbe9e3fa7c2ca79cd4cfdae0493b53361e7a471a3e23
+B = -919876c963c181859fe87695d2875f2d9fb9c17600cd0bf9f23f39a3f0e3dc129e990d4abe576a243a841473578d75746019a29e315596e159f6f0616cfa58b5e1a4ea53f187f42496a5a4bbc2f9a46cfe138387f1596bdaad06e7895780ec07fb05af359c76833cf9989c7c0ed2f5b37c67fe0e6a4fd0f6bb5b6fa54de684d5
+GCD = 3
+
+A = 59dddfb46824e489198c6d1b256b87e5ea90184585b479ef6aab716dd6d8e8747ae87344db8ced454e1474ffa662e4627fef10b66d9399cf835d2222731bd069a8ac0dd4eac9146ea421d7ab60680f3fd37d12f74c4c6550b9fc002c3a8b2c8301fba23d40035a76cc61ea95a95ea3efd18c0019ae76b1a6d499f915d0275d5d
+B = -b0c96aae71b5627eb00c2b4df9e4c80817ff6148ccdea632e1ade49311df3200481dce42508eb70be7dc90e958011aa00298a0bdffcafdbb06c3a232b45cb16f92a84beb09187c7b38de5da32e9286d7b1abe2a59dcd1b0df7f34baa70501ac41075f4c08d9c06108efd1fa14e6edfb281b4f898c4d0cf0963bc90cad3211271
+GCD = 5
+
+A = -226f4f9ab805a21b13c3af0133778c611447a9da0f716e2cd12a47b509dc1ab4893d6f20040ec27b80cdbfc39566477cc0a4b891ea4d793e253b09370361edb58a0b26810cc2ee325591b3cee525aa63b5fca3c6014ce7d684a92f9013df1f14a31de8cceb91cb89fd29479119ddc9b463d33527eb1a3ab800dcbb15bea8526a
+B = -1223aedf7add6aa6d300f25f53b84c27657ff045a37ebe991718fa8ab3f5b97544356f5184f03c80d49592a8ff051f0f11b5b1ed2d0016d1f7498a58607ff3b3f95552de42668237ffeb73fac6e7f4d74c58436d1635da85de9c0583928698407cb729d338a7224206dba44ac12c996cdff510e68a38adb439ea3ef3b5a0c471
+GCD = 1
+
+A = 9965821b1b2ee6194877c3da96749e7cf7259743662382365b673f1046d84cc719dabb4a98c2af3c4a1406e6f89e848a47be67a4c1c8cc5b36c8c2ad2312d374431697e3a9a0348a261ed2abc676331d798e2dcd14dc03964767c94968bfe2a14d71245123e36389466203a3fb32aa7b9cb251e0a517a27ef60f7cd762882fe6
+B = e079a40bd4075e1c3ab043e919c12e39cd3925bea3eacd8e519ad625b91443fa1a7b7a280f757663e1fd5cc64cdcea0ec5f41e382b3d0949d697f425a26bd2b633c1bbdab2912b99cf8d1b97653844fc8822a7b077d31c6538d8a1e09002745fa492ac04aa7bff09858f5a436232e48e58ac3cde1958dcc4647ff4cf23e25329
+GCD = 1
+
+A = dbf7e77ac155d1ef8e653f636cb7dface45b1f04db8666412db2d9ecebf3a5de12ea0884f4c34736dea4600b0aa892ded72505894734e2906a05d1416d684b00753b9c37868b44a8454bb237bf15a7d63826d6a26b761376ad3592134ae78c141bd063b2e55a26c0ba972c2e0b5957782351c4182a8f77d97d5ccbba78ded8c
+B = 4858f94908c783045a071e14d217f6c46c1adecf0e279bf556113fcc88802cec30d16f5abd7c8f384da4a327a1193f4ce84b8c937aa44538c7d7cf1fea3c235f11d81417a608daa62d374d38d583ad66a794e19424431c03b71891b7eb2d688fe6131ed9b972cbc0d6111746cf551346ce8eea53a985f00277f4d3bed6297c6
+GCD = 2
+
+A = -14bbb77462733e03551d9a0972153048805d0f690f02165db80af21328ee6161622e38a4c9c065243e465f93f9f6da1af68212cdb8515d10a44ca31c01b9c37480fb74e17c054f2c4a7e48ca759490c532457ef79630d9a1d7c5f26347f420ae4d5a8bf884abad3ad783a96154463e2e6b9e0252373807a6fbd4f92f0e4b6f0
+B = 5d6b45d1a99fc1c7c57c8018eceb3a59ea10117a974b549565f9c6535b62b0b411f7caba081e4379c19f482ce4cf6bf716773f31c789da851180ad7cf41031ac4e027fa0fe17ed33078b12b80ec133ab72bfe4c625e5fc6d1d247b094ff1229f2bd1d172a851f53f691921eb61887f6926e6fc2be50b86594312e42804898110
+GCD = 10
+
+A = -765feeec7e34c125f82dcd19b472536c6bae3285dead28633c703883c724de4a4bc497f43a1a57e223928520fb9ac262a2c5bd343517b37931b7d451b49798b2975fe8d14e00fb10bcd149e955f347c70b5b8ed0a0fd080ce5224a5250c6584659509e9f25d76c49feb2875293cfa31451037b0c7126af5bc9d0b79c3c5cc9a7
+B = -6c30c4b72d5a52e551dc154f685d1f34d2e5dc11943ab01160ca8c1dc98c54dba776fb7e39e69572f74d7ff1c21831222d8e6657b732fad5c6aae77e87e7a99552489424c6f3b87ca51fdb45f51b523196df8251b71fa9c0a33579571b80ce533bbc385b8ee7a532adf13e66134250138bbfc5bceba9446d53a58740cc005fa3
+GCD = 1f
+
+A = d1a9567c95f0e09515941b6f0cdd90208410e6b266825a467012c2ee9947b2789b06c06c0adc40e35ad3c2b8118945984caa2d65b03882668c654a8934037ac0043ea053ad58a864d00545d047bd0c69b72c490ca7faead1b9b4eece5e7d2d0dd93a2b4c84cc356f8b398ad546f4dfc1fbd13ea25fcf12eab8738e19e1a70a4c
+B = 1678b02461ceb06bd4b29175c1e11671a0e41a2b951605fc034f0e585f459728d124cd51bd5b42048bab31eb513522410daa306f9955bc48a912a45e3c929c54dda1160b992b1feedbe9ae06f9c0753b87d234d941d2541ca8324a904af0f8d4ac9a0f6a2438a866a0ee1fabd182c29dab29abea0754c8ba1adc2ee6595a67d5
+GCD = 1
+
+A = -6655101cee19096b61bb71f92fa0ddd3cff5ff0ee1986eb9ddf712b2a91cf520b19d4a9625e03e835452cbb2ee89cf4f2f0e0a849dabf4b40c5040ba276046c0e26d8c402ad11164d707cbcdfd33326111b077ff8d33f3abe703198185bbd1fe67ff9b4d1af3f0168ef1809c246816fe41372117d91950c1468fa797519ac67c
+B = -73cf12ed398c635780dc71e5b6b8b35db5edefc42f4a0137701d69d5fff06f5e8bb76366225003c3e363c2adddccea595588db0cbaffde7a88a6c1f5fe4227c0b30436c917f131a3a7243890589bacb81c810c9318d0b26e65af14406ccd9e461470e9a40c1a24de3ebd6ef2b0f906dce3cc7145aad699e01256e6e7218c2a95
+GCD = 13
+
+A = 672cd5d88a3b7ab490e57972c336895d12b22fc316020d2fb9abf419603af35eb536f15ea821483612072a45127980b2639fa2b467743b2337611c62bbdde1547ea604a7acd6b55e7c36ecc74164b19d572d63b83281ebaa3cf3901860c8acf2fc09b78f48052a926202712d33bdbaf3e2f8d8b6a38631232b1143b538784218
+B = -ecba4c9220cc47e34e625ded95c032628a27baf61b13fdfa74b9786b718fc64c8491fa9b80316212b65fb15bb9d97259729004bb9095adbb34fd59c0caacc35ea950cb0bc692996098ad31368621e6f1b1846de058294f739f516f126bdd6d8be93e52887d3d4dfa619bd67295080057856e608641e32f833ede9eb98360ac49
+GCD = 1
+
+A = a59d98ea45597b8a01b406ab885f9b95bc71003ba785d6cddd1a0a4631695c15acbdfaca6aa2f00501b9b55d795c41eec49a7a42b80950d76deebba132797755a4ab9d05479c859f9718c7cc9e7b520db8f5121d34eee810a29b74044d296541da3ba710222c51acbe926165b83c29f1eb8c022a87bc77e8db6cca00d8517683
+B = d18c7a1b2f314ecf2de6e5e6c31de6f02fe0915194d387cbdca76ea12770c75a663a56a91c23e88835fe527eea82423b455157534d8da85204e18ff6f2512174153962b338712efff3c271ee220de7e0e29cccb2f5d06e7d41986f327805349b4094d8eb8b8314e3f53f6bc40b3ffe2c4385694f1f1a025b0f52303d1353023f
+GCD = 1
+
+A = 275972ee388bad072fe497034cc7f38d331028ca1b313538c15a0387a6f5dfc37e377efc4e794b5e42c81bc9be9ff350867f079dad090d387dbc6ba9c12a3244ae0fb3df7b0d8c42e918f13f82ab1ff1bf92eea8a3f74e7ec1a81b90b423f93e477760efab431c131a7bc1496989011cfce4e239ce222fa3bb3c35953cdfa328
+B = -773b70cf799c3158457a236490eaee73cfea16d30dd4e35af28e07c6841c2b512991430a909f65d7a198eba0c8408b96dd5b3d1106b5b9baabb3c6531e426e8b6623f7896fce31687e6c0a3c9b2fe598454a3c83d808e692efc9b7cacc480b9d081b352a37298656a6be0c0e5e8e809de08d9a364c8ccde792d48c709738d6bd
+GCD = 1
+
+A = 50f3a4a3e98386bbed3d3deb76a7ff406c8cbadbfd29d1bf4be6e1856e012cdda9c15dee2eac79199983a36f753d9372c41acb60022d3e67f88883e2b12044bb4ca0baac1cd5a6d2e7c656f5da5a6e0f0969539516d4a938b61b790e5b43a189eb8eee0337e912b4da67f80e41e00d410f9315e802419f9e139b8dcb1a4dc830
+B = a09e8b5cc6f0f713eb27cff04069cbe13cffc6a535903c456c06a721f07ae2b497cc8d03f1ba22b9d4cf59d24574ded090eb4382c4caf84e8b2227bb2a176e7a372dac2836fdcb0389daec0d3cc41e2c6574b0c7661d1b9267e7997def8ce88e03583985f151be7119546f52a1a85a21c2ed149956e759c918e1f7bfd5970a42
+GCD = 2
+
+A = 28b56201b1fd7583e9617471b92b0f9caec80f9d312645f63140934eee31221b37ad6bd48e18d9c896c4247c7803ffedfeed4bc26ad4879839e69b38a202df194c0e8ab99ee68c0d4ce5afadc0a1315e552210ab3747aad2c458a24543fb5b9015d380543a9eb4b3fbfb764618fdb9db80869ffbddd75522a04a00e52351e619
+B = dea8a62d414cb8c815a2a505664b87da35882d3a883443ec683ddee00463d74f3c098a2becf5daa928c0a206fe776790603c89725f92d0ea7567a4ea9bb8190861286b0cec9198a088a37821c462a9b52a86dff1075da3460d240193dc4b843e6c5b6ef0dfd85a978b09c3f5f5e832ced400e49b645ee7c2d19764ff79ad89c4
+GCD = 1
+
+A = -a2d70c04aa7873f30daffa5065e8edc1ef9040fe395e5f7cf5317286460ecf184009ac6e98a777aee6cc2d06b026dfd32e92311d8cf9f2823ea6c5e358003d834033276633a682138e79257a832bad3a5b0865e5ff4312670db2f3df7fff085bfb04682bf946b48e67ee2e1a4af62a830e78d1df182ca1f6c9d6b51ad81935d2
+B = -54f770b408433cea93181b2ce6d02317e397e7fd2b4941527ee1a02bb447eda4ac556e0ded07c179cbb269c1a9d63885fbb5c49ef6b5991f768161f4602bd3ba6dc7e0935403f8dfee99c3f0d626db7a282225c16ad2725f006bbbaca559800931be938d388fe0ecb00cefb6174ddca426e4635a25f7b64e00c0f19ed17d9013
+GCD = 1
+
+A = 9736a7cadc6b84c3976fa42051ba5fb41420ede032e11d75c1d9829996bd3ef61a4f34ab8e9d6ef1e2b011e058c67ecb049b940ffdb180a1aa45165e14954a06a78e0807a144430954122160b3c30488f2787bd1602f1d536d9f206e5265dc13411b6fd86fb7f2481d50bd0789de55261fe8df04d42f5b2d3dfcd6ff928e00dd
+B = 14df228d8533515fc27ae4614f30262e939bdf69ea5781382b00cb1162076187af453ac0c62c49b19f56f2c03d125b1836addfe2b5d19f990573d02388ee86962d9632de49739bcb16aef25321f406fab0dbdd9954040962d9c01e3d5f27818559f606293d5626d0457868b5cb6cb29e7300295977e9b2929f597595691e3fa4
+GCD = 1
+
+A = -6ac8530e4cae087a08ca3f5f99c2125ad7df963ca4f67bc21a3aede4b5a7e3a851f10ed7018dc8166e7d29e8f9afc11a00f3cbc2b3816e6a424cfd2d4ae2512ead649a3c22cf9e0906037e1186d884bb6479458585cda2fc28197b546a52653b58ef6054bc2111980f414a2288e93a3d98d58de7924c4098c7db7f60477735e
+B = -b6001b6bb270892757672f3edc34ebaafa8288a1da76a2780c308e913612f2b95619d103058bc989f22ac74930bf100638fc151202833f22a53cc1965c6b4d840875054dff65af192034e13d2ab496b944b162c841d34048530cfaf68dcd053385538e00dfd2cc361c2420e7e21326ec9862566b3211b4f1b6b0e8765db4e855
+GCD = 1
+
+A = 7ad10bcae33469b823206691058f5006831e5f4cf8c899e8e805c296c2d023fc9fa30ae48629c9121a1b7b7baa7869f41952d976d3325c20d78e365eb71ab9799ce4e532f4ef01cd7890e42d9d9f08106f5d318997376bb39bb770bb53df6ac92a5f12161cfeb1b992bb6942ac07e9dc3f09d1dafd9749a5ace44eecf0c2a2cf
+B = 8121b391b68864fce85167ea74d7fd00ca5debccaa1af7ffdfc351df9034a5ae46ef7e3fc1bc69cb6ce3d3d09ffb34aa97a4e61ae7b1bec3007b10f2685b8485177e9d458fefa1e669a65266cdde1ff9316fae0044de3c9c5f2975ec3fa401c7b103f044803ca59549390cebcb2789fa69f7437764216230cd6ea8de8e2f3de7
+GCD = 1
+
+A = fb162c82917a2526cde13085a3547dbe3386789f38dfe9319005b428ac1a48855a558ac6d5abd3a4f5476ae35f1cb3741fdfc793c97e974239ef5161c33b7ed0644a2df7379d5c6ac4c4a9e8aec886410284d33949d031db8aae609bab887b11a0b43e11ad9318fd4d49e05d5366413aec0a2da7591f06b0f1a9600065c0ca62
+B = -31f66028ce40bd9d2fa06c03f4c6fdff773fdbc2cec0b96708bf713dbfaaab75159ccc7404e2622ead81c4d8143a7dff47d0e03dbb08a1ec7a4c683633a27028ce7ea0ad5681cd323921ee7a858999c85042ddf43656e5dd76601402763d08700017b65886459c0aa6118b6e138b6b33e9449e347c7d0d931e25aed61b3b7b7d
+GCD = 1
+
+A = 152c0081f69dc3e300b502ac728d860094fe3b7835b0a94193e4d24b565b0e5a0f0bac601d770d2de3bee614d9cae108092bbf9bb5cd49341561d9ed337df3e5dd22318a4fb2e86a4ac40113bdef9cf2ccadb23cda530a40ffa9d31fc272fce3a55f6d65cd21a267001ecc98719c74807043b9ab9105c4ff82f5ad221a95480d
+B = 4c39ecf56e2e4aac656aa89eec6b2607acd6a7a707b06d90eff64db77681e4869a21107898330b73daafc3a03c508f0c314d658b74d0b5030602bdeb4146ad158a9441ee120f86b53de8f2668de576f1adc6b426409472591733a0dc323f23562ec3dddd542e34cf43e6698fd1d997162c974d9fa898fcd0f07a0ea883f6972d
+GCD = 7
+
+A = -1a5c5682a4abc09bcdcd8b0a9b5e01ad9ad199d6fb4fe64d2b3fb87c9e436ff8d240fba52d78f84b2b4587c281c161290a7e6e2810c78ee7221057af32c86df8f397cd081e1d9e69087b8c441580ce17f6e6449e21dce1995faadad23b0284ff4fd80093544decf4183b1ff6ba407f46aeb9bc236c5ae1a5ae5cbedd264b85f9
+B = 4a6437c38007fea68f48ed8e816bc4b8295736bb8513e8a97b6992e113df68fb7dfa891794934552e9401aee6fab2f57c6a090197fb6ce24077764453f32962602fae7ef52a6c9be9046b029fadbf0da5869e3ec7632fe797e14db9f8d2d38b3e1a310de89151d6edb33af69d8af0ffa3128e42419c428ffce1bf42da741d948
+GCD = 1
+
+A = -ae54b5651cd7f68978bc22ac1df6e12a0401b44c01364554e5190a47e9b7a7474897723d5438b68122998c08041703d8a4ea6d7b12e34342dcc8672728f907fcee17c0db1c4da54ae89c44c3e7ea07c0f323275fbdc560abf1e6afe94f66cd8c43327c62766cfd68d44981b83ae3a68291eb37d35a871833ebbf1fbba3c66cc4
+B = 9b988e52169bc0b39923ada8603d028e4fea0d6610d978d0da978afa8943af9bbbcbf687a9d44babc490690077d85feaf1061a1fe2e8190622b5464090b655b35f5314bfb0b95dd4644aaafcff093ee5642114ffdbb4d8b6d55bb0a941d6ef838bb15645aa9c379a339df2f8e06ca91e0a2cef3572ad0d2f7b17fcb3e842a6b3
+GCD = 5
+
+A = -b82b4a5f9137a069db269e477edf6f5fc306c26839d29a1580f611ee1a0822fca8a45bda22199b8f46873eef8c81d36b6bca0cf122fb7c9c194faaa7935c655f039b5e9174013315f7da8b666d9ec6f2665ccae864a802299ff2313089b54ceb6bfecf9bf731112cbed2b6ff8402c9d8c545e1110c7208616cd44efcb86f0cfb
+B = -c20bfd4e6c25282c961079f20fa65abedd3c18748984abae47a939f5acb3322b64335ebfb23c275eabb3d20700ff837f09f8fb97a62448c865a5f5a3659363bcf0ba51a762afbdfcbe0f24e4afb342112c912a79e361a2c75f273ced8dced1138088197a3f9f9624f5c239f6781020ba05e347bd1daa5fca56e320745d69fa3
+GCD = 1
+
+A = 1249f09f304ea32e0ce5aef1c661a6b6add1eaed1724f33107c6005bd695385e47ecd3c2f71eb579209a0cea97b9a813f85d19dadf827e8d1544bde457a8b97a7a77c68a57f99c912ee08188d67719efbfe9f4cd0e5108fc22c9ef0faf335b94eb572a4b4131b1b370a97e17b14a69e6dd245d4fea0f2f9da05f926ac69800c2
+B = -cf5e7b49773acb326749ff253c041445250b604c76f435998a61a636efd828d041208883f9c55ba7c005c6ad4af8cff442da0aa0279956a6c381a99db90686a3e7b636e59e2ed84c9935c74ff6460f499e10c597c37604f5af8b5a6d5bbcead2779a2f1393a79d48234c603ec0ade5f22329a18276fb92bf44fc517625adc786
+GCD = 2
+
+A = -12dc61ff7bd4e228a844619b16077cb4953ac320a2382a197c4fb700b4b684047369fda957bd57c4990aff262d571c67a2fe7ce0335ba97ac33974ed7c127b6cf4f43cf82d146b0de727c39057b70e16eca92b187a4ca9fa24efa24a4ae2ba62af895b7ec64d568851a9db2aed699a52d5615a86c3a62f2eec1637c02420bc37
+B = 397b906ebcfb54a9ad2dfdd9dea11cd22ff9a2a7a7505c2399c5914b081bfb3ec9f87b88bc2b09f549ff76b9a7ab09a751be9182895536144705cea87b882d3ee0a7243c0e89dc10d4f1f7aff2f67b582bf9c90b461c6c51ee8d8da5655650a5e556a0236abb74fa0981cdb98d5895b751bb9c46350805481d80e0b238c7992e
+GCD = 1
+
+A = -d44596051e7555297d94b4648c71967019068334fb036929765191011b5c2fc189428fe9146372ca8879ca6e250381b7fc0c9a821d7d33e2ed03bf4aae967c4bf4cc400188ef0848c79605260be1d96ae2d7c77408e18407f7c7cd00710e7d18eb983d42fd0256e939ecd6d1d737401d64e43ce90058bcdcdc9c7f98675b83fc
+B = -cbe542096fedc3832aa562aaef311914d6c5900f3337942854c4efb1eb12f93a3e3c58b9f26d26dad191ca25ee4c6f7c9c4cd59929887c365c040038eb20ab54cbfa95818901e919c308805f25b2fe59ec7d097f2e593df3fd8631dc1afd5964cfb042f3aa185fc966044533f15d084907efa1e60c5a509b60d7dc2d5c23a81f
+GCD = 1
+
+A = 6df3504b7b87167f703e7fd496bd6d19425736674640aef96c21bb6e2231b9f8b02cf344e4bd6dd5d6b5eb4a6ef267fa7b6529971b56fdac8ba3f7a908ebfddc2fc24990e16d3a5a84d184616b4dd17ab41c4b2c8aaab69386803f955d5b3a316111a0982e27082743d55d03c653057cf3a5b1a6c90e3f7c414d19e789a0ad1e
+B = 806a8bce02c84c7997a6a87b6afbecc5c44e1e9d0f7bad7a45b082f9fb335519ce14e21001042d29f662bc8eda29f67c780c46f1b3b71ed6954a04d3d50e359f34b849358c2ed72059e0fd77746584cb13eefb260c8ad4563e67c990d9086ddaa68a4d3c32cf55a5cf0bf105fad2a22ac29feb9b515fa99caddc9aed2e015fc3
+GCD = 1
+
+A = -f6c4b7cdf00f533ac8237f776749b05ff7de4a59b6caf880eeb649379391c4254fcad5ec15d4215fdf5f0d0fae4135e9d48a2e15a263b3d87b303ec8d661ca09051fd5eea45c0e384da73337cc0d1b08cae551d21148b6de0d6418d0b82dcacea5c5f9271253036ac8fb5803984eef0f7dba388d023f0831d9727cf9ea6c012d
+B = cf0f938f35e54bc46633a9c31a118e66727a69b6990e643e6fe530b99e2ce65aab394f138ae2bfb64843ca38fcaaf1f9043e548a944d3b2e199d4fcc9e375fa9af59b9b4bc188028f3cf2f5dfae7e90716eb8c748c438165279d1825f378f4694f5a29e132248ae0b75af135f9d648f72d20b1df9e64709e87bd279f75c570bd
+GCD = 35
+
+A = 7e08abde3aa9c51a2d331e3215a7c5edfb271ac41d984f75f177f4c5d98d8bc4bc03559df8508042cb771781624e52a04203ae37b350656b6e189c3bf739c2d4969ff09b3bd176f4ce25fc961b8d3ed1a5fb14c24cebdf7fe0872f5ad0150a0faa6099a886c42aff58850fd3895c2155a22db644db77948c44dfe56e374efeb6
+B = -eecceb8c5417e5c6b84cbeec9e3c23b70b976b3a2cee213a9de282cc753d7390547dece964e7c2752655092c731d0e2fc65edf7dcae77c3d9e8d4d207188e60200dab768f0a45b39de5ed3643c3a949440f5260d078454734309879ddf6bb8199ae0dea4b593e3e6a64fc67e40746c69c0742daa46a37fc49515a86fcf9e5d63
+GCD = 1
+
+A = 26f5751b949ce3fffce89bf0fadc40a022f85ef0f7303b4855a4590b3c814ec1d504291e3cef1d055a67700b1f7003b017b6a6499f8f02e45ea3e696feb18ee11dd7c2df4f5bf4f93008d6c49bff57337d208176806f134847e3163ab3cba7e1916019a9b8f6f37fde062dda5cb38f1908d34b0a957086350929c3aee52004c1
+B = ae5975d32b09104da4ada12423d84e8b38db6b79f97968b09741f7127a55bf5652bfb740607a6de1238205a082bc20735c245f390bfeab18011ea8ed60a514fce37de604aae1b8ac08484898f698de70d5388238980a50fa9ceaf4e8d93bd07fd1987861e174d9bd802565b17ce4d717f25a9a0bb37e91d5e316514615f802b7
+GCD = 1
+
+A = bd8a84158928af45ba021a6c7c3239539f8ffeea2d8b33d23c8770301835f9b13e86332baf8176d099fee024d0e59838fd4fe380eb5198351b9886354bb7ae24f4596afee3587cbce2f432226855ed58f6450938956966a9959ada06fdf8472401b367880f9f7b419706de0f1319a442e6a093cccfaceeae9f178986a986b87d
+B = -6c9c70ab6bc3f03b44263a545567391484e1dbdf9280a217ea5fd5f196f7d9b57a4258274ab54cbe3c3fbc92b11d5e558481150de5d53d33f6efb7ec88772b4a52fe50829359099897f8f9473974a792be4eedd07bca38de6336235bfc0441280a5bb63e940313412da6608f8ebfec2e40aeae252d8793899dd936f72c783820
+GCD = 7
+
+A = -1b46093736125630aac970a7b45a5ca13cc154f49ddcfe61f09a2818913829f184baf185a9afa044389e1ee00351c07bb6477a65c5ec5095286dd27a4587391278c421a5ba787db4ce0c506079633c8c441ee125ff2054df7bb7a0f7e23b0b575fa5fc4de303bf7cf2f7dd25186a5daedfc3287503b288cf827dc52875fb1b52
+B = -8f9e65ceb82dfb8f9935ef6b080fe47cf19b3cc4997b46e77c605fe8d63c60961dc13d13ea7f6b6713c4b6e98b253c6df6fbff6577682be88df974e1e33eadb992620aff5ab7af2308bfbdf18a9565624ec6d9fb3b5cbe80754adba3feb8166d1feda6ffa4cf042edca49fe00eb95665ee6e9ea58389d03c4ddb50187528aeec
+GCD = 2
+
+A = 86ba4dc8b626d95aa46d5520ccb51c3a45c95360b8c395614ea09a7200028e9573f66b4faaa0a2ceca8511ee205df8a3f4eca52caf1db785a97ed744de6e002cd4a7d8db3a5b897a72497a1c3794bc49448f3fd5425c8dec658bed51ebe393d0ea35e2d19f8cbf990eaad5e1da896f6d517ebf8f49743d8293626794af7e195f
+B = 812eefc8cb684b3db4aa019ca2f08f5c8d930a2be11fef2096120ccdbd9b08ed043995bf70b7381a943a6b9b70d64d3690b75fcc2f0c8b7e143c4f94b72699820ecd7b429e0687a58c7be01b5e9cce8fa643a681f25eaf49240af277fd2cf4673d4de1b4530578d4b1c60b4e243e99312d235b35c3c063bcf2b3eb43408db8d7
+GCD = 1
+
+A = -6a0b4cad8f284fe26e746b9729326d02c5ae6586e686b362e386a159bfc39c0d694ed5c5ea1a7f879c086cfe51282d5fc16704c092f20ebf2ff5b969b11e2618cbba0c17ae8e6b189bbfa5e10ae11beceef45b998fb36ffa3fb266923daaf5e1c90ffcf9fac309469bae974e66de336269caaf1d7ef857836ababa9784b849a0
+B = cfde7ad3cfc2f051c0eead4a686b068025ddef5625ddad97c9bec5ea40eba38428fa360524c953a3add4e81da55699a6aa802b0c545f33b70b15bc94e2fdfb83db6d2fecd0d3eb7f662e8f76dd9de464a5ca4d3c84c1e2c3c2ffc386c05d8027de77579acfc4b02020c8c5cce7c5161204f5aed6fa77a7bae012dd4d00e8bd78
+GCD = 8
+
+A = -7d532cdbd5d32c1510b4c794b34dba600c55b7c4618fb0f70a4910522b6b3b0764e62900d9bcb92dcdca07b7e64694a3d4dbaceb5f4edd568745f17d8f2113b6dfc631cc50df3bac7a6fa0bde84f27b07c11aff4a23ac7f9b5538343154be92bc129367e6f38b07efea352ef9d19c6538c9ed0bf0617a4164a5e53b57de7127a
+B = 4e8a5eb3c193404fb2c6255c70d652106a05c56ff83151d979dc393f2360b9af49e538db08b5d519e0d16480ec95f112d77a70987b9ce618f688f1ff734959a67de03cc15f0c0d27c4b29e61eaf47730d24e1b093e2f66c9774a6306c3e76f7baa2daf43e95fb53c94e787c464c74d0ecdaf1d0a03dc70f32cca4b274e8d6ace
+GCD = 2
+
+A = -8e2c670baf6c5404785ee3e5a5609c1b75b94bac7948dc0306e52401502549ee563483d732acb356e6fc597df29ff45eb4efb114f3826098f1c405a0e8264771dce5cf63a49db23931b11474bb78cbd4592c7bba846a210260193064363eef5f9c7ea34b9167ba6aba693cbf24b1108accb8e1c0fbe717fbfe1d8cb4e9c09060
+B = 8eadfec28a09c920b35acb8a2f1b7ab25812431878860737c18c96afe11ed5ac55465cbdbed96fdf333f07e0568b7c77aa0de151d31b347314ffda288188a71b7f875716a8989894974f415e37490c591df521d1421cd1e3f32820f23c5eef7d78223066e5d4ef1c8a0ab1900eaa3298c4f194586db0c3153810f5bf81df3cc0
+GCD = 20
+
+A = -e810dbe611b08847676ed4478b6e461946e960655e132da494766a5f4daf1d9456697587bed0a5f515aef91700c725f29d2a3522462ea8b069a8a5a0a379b609e91863f7e4df522fc69cd18e4eaedcf97b834a8c7b42b5a53c6628a1b6772f96f6678991d82393b708aea74fbb9916d7b38eae0399720a3dacbdae31189ad1ba
+B = 520cc7e7e8c04041f5b6928048461c00c8a185dcf2aa97df309dfeefc4a03792e388417162a64995721b4f5bf5c14120c02fbad64e8e247ae2816780cef5677ff86189bb5e6cb40da330991bcfa5ef0484f11bd0ffa1394923b5a57c6dceb2220a0636d15e2a337066ad0002ec0fdd5bda17ff0c4fcbef400b4e098823fff6a1
+GCD = 1
+
+A = 7c185ffd2a9d85e9c1e93d8b587a0fe6f82abc742ef883bc3b9ab6108e998279fa31dee70def428789484f854e4621b4e2e1bfae9853fd8117535042094f252f684a0c01092e6865f5f96cc99c3ea002cfea909da83e37c0182b121ffd3049e6d62b60d6fafb3aded2551b1c92defaa6eabee304de9ab23366713470a0bf9360
+B = -cc8938597fb504a423e967d5c5724dfd2f819b59e9e82efc42809218c7c8e32c7a0db6de1fe3003dc37943598ccf7e4db4fbe8d760633e3a2f307a6e108a9a2d7699be3c074cdfe13054522fa03c89ac862db210ae1a17ef93587ca53cc49956b573c000515b98750c94a590d0aaf2cf1519fad1ec97a61b50686147fe54c7e3
+GCD = 1
+
+A = -8667216fec17c48ddbe51724a122cfbf1b55aba17d8917ac2840929a983aaf157dc45f4872a6f7218a4bad4edbb02e7ea616ef14690364d0157d6ecd894827b3b5bc8365df08e838b0db87c2c92b9edfe628cc8734fff5e0dc425a7c82d63408463f754f97a74822e616cbc70724143b0398c845eb6ac61cf254743fb25b20dd
+B = 8de5e505dbfe6c0cde94adffbfaa29f097b9d8148572be4be8de40f61303bdec687e2f450cf2cd7c6055bd4271e9b1cfc281de8b142bf2019cb121aaba325f38290b7030616894940ad00363e4ce4b3cead13bfde4fe7dc4062e2d679b44dcf67781f091ef10e0c7a4b2bffc33e0ca14e3e698ebdcbc1ce70d5ffbabec0600f0
+GCD = 1
+
+A = 4687222223cc6a0c08f499af5aafd0258ed3c77fae15bdc77571af30227f0a04f1f25376e7b6af961f538c3554646a34c7e3897b88d0e3efc58ec37c75eb95bcb177a5af2a963c267627100f89aa81a8156ac440156fb6015752be253f9ebbe6d6d7e51c570c3554f5222e19079900b7f0f8d64547a53844e266e600d4a3bdaf
+B = c49a39e09f1d31553211738c912aedd37757b6b9d1410ff3cc35a4697c84e23ad568bf22b2bbb8246eba878f92d07a6c2499b4b611b5affc0e18054cf95bd6970f11a686bc20c46bebbfbf55281c804262bc9c4bb481cd861ca5429df21e2fb6f115bf40ff86eaa0cedd1911ea889111550f252fe0e6913a569b099c396215c3
+GCD = 1
+
+A = 9cb9ce6a26854e1fb55cc94737b8c66cd115b688cf69b478c9f3ada8f032f30f4df96f405b8245a72fafee05214954a94461e9a630c38e7117badf1b1689caf1f21bfd5f75e9f1b89fba56ddfb9e44654e8e6343d79b8d1ba58b4dd3bcdafcfd365cd45d943e4e02215ac1a8aad1ff6ecec68db4c0b3f628e82460da5695407f
+B = 148180b8a5c3715380063d6de5d7d2b4923beb1a2d155bb7c03d89a5a3fea32ac2619191c6128eed4afd2d367fbc9f115ccbba19c8ee464fa6282771c66760754ecc8151f3d0685beb5ab553828099304dd5cd07338f3465a2320beb7615ce73ace166bc12891e73bf8194e697f2ec7204707eebd1a28f2d51d35ff6a6fc3e96
+GCD = 1
+
+A = -acbf95c6a8ebc77fac5c1e1c9450ec154f3c7bb5e559ec30f83d7bcd27971e90e90f5d543d2be26bc47e4ccc249c97e76045514a9f20ff2d5270c7a5e828c1c85966ed7528c5ef3cfd04dbb3a02662ed0cf08a08d2ec6c9bd5c45604c7d4c5a04c074081a8bccc11e4c168b209fef07d0e6504963b33a75b003caaab8d5b148e
+B = -6cd29d135ddf5dbc5e57c51e6a7ee09376d88c97fa0a58cba92f3ff7837afd6a6ec16fdff14e94b4b52b3312ffdb2896960246f231c7b6831693c86cb488573188785766d0b390ba310d8af0ff291bb9ebbc5fe3569e2c94106f4c1112905b5292383b6548f47cc18d85ab48d08d7c84eb90d2dbc23c4c61fc8402bd352e3149
+GCD = 3
+
+A = c049c5a822187f0a189c9b679d8fb54e4d504786153f317b89311d8c5f36b64cccc21edaf5a325f5b48bf50f87453ff4362667a0fe66ccdb03eba4285160464cee4ade66d0f7eaef51a0ae7d294ef8119dcee96bba53f4dea1c2fdac6a449b848225a35bf4d14afc330c7457258c2575ee76386579741d9f5c9d5f6e0484e9ae
+B = d7b9ecf7a9ade1fc887c37a5dad452a8c6d5b8174b01649effef9b5266bdce523b03186a772c8f7b24845a4d8b059ac9daa4375bbb78fdc1d7ef331c1563f69e62ec39e8df61398d60bba007fe9360233b2514d79919abc7f5dd471f979608a4fff6fa6542c307371706190cf59626110898c4ca0374021ef4593c6d33e4c5f5
+GCD = 1
+
+A = -7c7c4f12564cf218a6234f5a8235e4e077e378d647e674ad70fbf675d047aca85d76a140ac995b1a42bfc17c457bbcb87524540d27546439b7e1107ae8f74ae1fd28f062bc772e1236221d494fa4fe4b50878537a867bb494434b042c025e38d8925f404491f604d302a84dc5176c435718b0e0253ef063dcdf726dd1a61e208
+B = -27c25efe47335f04b2b9fe713366e8d34b6174df9d1aeecad1c5ed23ecaca287a7315f2404e7278dbcb5f8c9a116602727a198c777742658ae846d43048b60328df7c53e40190ba5125c4e7b896dcddc306033d7b86e89bbe95b86c5dc0576d0f1698edcde4274a34e46df6f54c542e11cbc55fa6fc0156de6eface2989a50a6
+GCD = 2
+
+A = -3a0273166cd9d182a69d4f77bc6c285483de210e864ae6c2e25d252876c65d6be5a809b04e724a7f8ca54438b04c0354c03b9ea0167ecc0ef57d24acd72d5c519d916f41a330238d0ee8c33841434dc5eb4941cde78f23d4c66d514669b8b30d42c1cea637937592a0d521db30a7f06d5f9bde1879783477e54349bd4fe8b18b
+B = aac206227045c5d9b12693d052167d65482a95605e22f5b37090ff44471f371595d1a57a937b9fc0d9690355ce790b242bed302d24687428a8da9983175e7e12c2e80f2a4abc893e1532497b366a1e1b277bb1955b4daf642c7da6b77cc729f4fbc2b7955a1d2c0a67d87d82650ac8a10c66d3b7afe4da29aadd3de65de795c8
+GCD = 1
+
+A = dcc0cfcb6aa6d5ef15db367eab2f12e45fb38d9c50ae04f8f591eafe9cd8065a896e3dedeb44c47e1819fc0d216faac828b82ce6815edc87672a29590967f0568bb6016e2b42f8cbcae70551449483efe1e7a8df85db38fc623c1c899a8cc65ff97a0f61ef77e4874ea9132b9762ba8736d0efbe9675e188b63e1007ea64bfb9
+B = 47c814a176bfb8f021e42bda6c9e33a5ecb22275a43b62c90fd8933aa7c64545c92b4627ebd872175c99f951aefb931ac9668aedd17c5a0518590f5bf33b47d3f487fe3ec36dbb6c8f93ab5b0167507c4f0e3c9d1459321e4878063cfd9e4249ccda14cf934d8ed365a739b99921aad7250de194d6fa4698f156a01b50bebbee
+GCD = 1
+
+A = 482f0747a26b07856fcd53041830a5561c66d45dc18ed9c8205c17b1ffb3f1a912f696a16a0fe092d5eb6bde593eaecb2f0e26aa5f2eac21f0eacb14b234834f30fb1e1e59ab12ff6a9b861569222e762d71627b480b75099d021d5e4566a45beac5474903f16bddf0e93aab609e258eab50f2343b79c56e44bdfd1c29ed076b
+B = 4f359f7e9dee0c0a1cf3f48090c6ef316f6a15829f1b616f8215fd04413289587f00029b8e9a58aa24e35054991b9c590c389f23764bf21fbc9a3460cae192d5ee2d2de88a5d0e0e042533bdbd9d6175bacfe3a063c211c59950c48838b9987bb0c35fd3423d644894a374a9dad0e88167538ee302a535820204661d999d55a
+GCD = 1
+
+A = e7998965f59c94163280cd7d68a80eb9a312927e2fd0a58797f396d0f599e4a7086dd001cfad91f0e99fd8289f0e4684d40df0409f00b046dd2016171feffd550eaeb8f6fedbc164a71a5c9babe3e90288352ddab170aa1b03c178cacd205a39e43bce98c53a838c29f98baa93265dea9b1e15e5496f037359826ecb550187a4
+B = b280b894436213be27d51fb5f4c4fd5c3158592653dd62c048203b7c3a5b84d566f56b0a0ab8a69d9e25471edb460a571aa34a8f1b88065448ea15b454acdc8d2f59590f7d3202bfc536d72eb2b2e645e0f22000cf8d8ed246c64a67dbeb836aee2fc8130ed70cde94e95e0e5ce19e07672552d3c0265046b2d673c1219a7840
+GCD = 4
+
+A = -741bd1cc129352202b699f301de9699fffe1b2ed1a9a0143414cf822e99d091a880f4c6e67b81cf953fb09c7d04dfa5318aa602769bd01059cb0eb12de36a5e9d982954014c7e032ad0a187c4c6cd7245e75eccbfd247429cac40b8ec0a0fc7d0cc40877eb03726f895170173ad18c6a839997b9f1243fd49ef71071d382fab5
+B = a0e4ba17a442e28aace9cdf6c46b10e0d3aa025acb68fdd27e2630283795a07908ccc941a09feac2379c7c4f994d4ee0a8fc7624783279b7d8c1173c048bfb6b00f51d89a59f907286d6f310814c6ee0e1e9d1e0850ff1e80c0e65e1b4314ceec71f7029681317bab664626c7c1e1b65dd9cfdb6223ba0ae822d9e75b25d5229
+GCD = 3
+
+A = -cf991a54c2463042d45433217710faddfdd64dfe7a7e2e2fd4d2eaebf86937747a0ac3c524ba9cc1e1f1a6aa44e3134664e26fc1bdb9023f9dc2501de87eb238052a77cb60341a711d3f2dd4febad04f1c0c983e936765e7ea17bc43b20fdf28db5212935dd696103acf3521999028d55f92da5babf6788fedb15ec5f0257543
+B = 3f487c6207bc5f8eb8ffaed70bdf6750afd31ffd02c8eb04e4a69f32e8e5395b826a626057ad65eeb648e4967c5d3e94039877dd5862168295ec2f4269ee33849bf76c7788377050841e1dac646abf960a8a159fa3153566180f2ffcb30990dc4dd660098573a55a18445f7fb63e995b766d227c241cc3a00cb2a0e82c1778ee
+GCD = 1
+
+A = -51ae4101818f249a3418700e19f005fe2f69a9a407382a808462aa37b2d8b9728b7debcf7a6438b68e88de78e36ded56f96317631bf097ed3b52a290ee1af994968d26b478c3d8ee6c115b8f082c514b9734ee3db6d499229aab22bdb66c40322387d0c8b73836a6c700ac9054cab2256953e20326c000055cde801a077e5d8d
+B = -66537e2cb5ab09d0cd5088ba58dbb4c8b8ddd5eddcf68ca5fd35fa57e94d7d1d8d9aeb6ffa128a807358e6a47fb8cef6a89a16edbd56a73355520b7331fecc1823143f385734314e0ab1f5630fa68c2282904db0e243d67df15be3de7b6a18971a1ca4d0c82606c92fe72de29f0fccdccb11fe992df142e9a0b6fdc66875cb78
+GCD = 1
+
+A = -a0e65ac5abbb8946e60c5718e51d5ae27df597411610fb63f2778a5ee4b913a24c48af79f80c4ba343c7b0eb529d0f44f0f660ed94dcd47772dcf53770a132daa4bc1350217629433b223aceab21bba211aed40474e6fc153529323b4af43b4775edac222f356077cc14fe6d8d23dc1b7dc4f89a27c67815851df11b9519b226
+B = 547679d5c75573568a9c799fa97370cb5421cc0371924267ef00603a452582b5dd88a79db6ee2a2aff8e1c1e320bd9d3f75164845b15ceaafd638203583b6d57cbe1d5fa1d992db1c8045926dc229bd2dee5dc1a4ce5584d23ac703c51248c13aaff9c7a27a82f3b86b7c83248157963264b8ad99af86db79ac762ad9c1eeda4
+GCD = 2
+
+A = 4ff8f96feaf2bdc5a311b7c604c3867776aadfa7391e14a5ee54854d08ab82bb630c2e77e80575a93fb56e4a37c62d0decd620173e2ab264f08a4ed6ddc7366fe9725ba2c245c5ba46eb7a4e04486fe478fb6c14c4d748e8aba7f4df3c3929ff27697c2307a3b5b4801ea36535f2ceaa5f6010da4e6854b8910c36b718d383ae
+B = -d1dbfcdf85713c749665987b31a62c9d29a7ecf6bf367b5952b4fd8b1361580dc487b37290d2eb4713c4cd8388048108ebe31a09ab7a08217d12670018f4d02fa3a79f0717d75990c8a03761751391184ad6f18e5c8e2598b722dc7815aa175cc06738c692eb5652cb839cc07f7e34b7a18110803b0d44bac30c9b0feddf67f8
+GCD = 6
+
+A = bcf9ce96c159d304b6b61c873d3b30821571b397f1eff085ec87f224eaf646fa6403db6b422ab6406acef4c3a03a363c69a03cdc2a4d1e549863e8477f8c915c4c93db5fcbae31ce4dfb4f667359d857d73fe8b8d8ecbf5021ce4a762a8cff371e8f172c74d9442c96b203df676ceaadb237643bfd3bb4f18a9eebf8dc37e0d5
+B = -cf0776bccac418b27d95d65121480673de732e76d8ed19127d976e80beb50426123ecd20102b4c3a9757a4fc104a34a620af5a35cd41cc0b77877b4645a5c6856059a98f2d8a771f28ea18650b4e8c96c441822ef9253e039d329f863240ca6605cc153f573761bde7ca782ac7980344c1b15ff6868e94cd64bd8453a8594b3e
+GCD = 1
+
+A = -ebd18c5a63b0b674299c42de80b6f217c9b84ac9425390ac0c146e1256d2609f5372fad2b128cca554942629f74dd179e5a90c84a884f6e609402e5b26b508986a6dae1701844108023cfaf09325fb3d8aea8e7f93c1bd8c7efbe7fc91e7d86d8eac30a97f404b68e3aa471cf0e0882d7837472b22d14258469c6c286481c548
+B = e1cbd621398f15d83c54175fd8d824775c8457e3aff649ab3b59d8a4a715a588a1abca24d76cd91ce5438f2316970edc50f5170a17a178373179177dc90598bc7c6271791fadf2e23af3f889dc875c5f3933729fbee1f84a2dac36ad6084299d2c66d339837e1c2dbf289e073085c827b178fcc97960533000f2104951435777
+GCD = 3
+
+A = -1a451d226934d260b82b691856f6ab490422a27f0fc619506668293f0f99d48601ce6e258ee6825ef2e343d1e1fd1ae3f0f661d2d40bf3c25a382d2f82a5c9af147af05467e2e4bbf6fdc67df5cba086df21945f3dd0b9701a68a456e1954f9499100bcc263a754b415655ec6f47b4de6aaf20af51a13858b02cdfda9d47bfef
+B = a251cc8d0d1eb7ff7e2eff9ac36e01ec3d8faf1c8a8004196bb79887edbf14894e9ce019269e04652ad95c454445bee283a4b609787c2ca307ca5c4c1ac37366226f90009991b3ceb08f0a5cdd1002e33e357dac1cff7b1bff1446ac3f9f75d7258d76b25776062ddbf5df44dfba55a257c6a934c6d9e095c08870296d559d6e
+GCD = 3
+
+A = d593ab06d4321d8fd431c7efee0abecf19955ea34d58675ae54944e1b256762abf06156ddbc24e147fa48dc8f31fc44472594d825bc504415527a6ab9e8350d06d51f08478c74de836d44a361f7e0908e4ff36e718b85fba119db126e8dcb7623270bdb91d81513ac6fc178d1af3535af7dc8a3306319c0548d6093242352568
+B = 4ccb72f21749ea14e64d692853752df499a1edc280eb24be9b0b17871a26c19f0dee7135a048a4c843b70543dcd6cd9a5317928bf27fc741e2e3b2a0465170082d03e08dab3954b711278b68ec73db89d99a2be3d764f3661f645e2557d5cfe0d825cd81ee70c9047d1aa22a3cc054bd7c03fab22a5b990f563db2a8d4782cb9
+GCD = 1
+
+A = -ec6e35796b5e8dbe52ef9ab9b728766e21de21835062167fef2b9cb3cfe0b4a5d103631790549e0e7846a7e3421ffd9146fd1a9c84a68954a194cbc5d730016e8d8df95d7e35c2406c6f1cd2b00328e08bb0f853565ecc6bd262cf95a706a526a2120ebca2bf9a8ff2dd8e25fc290ae2f5294574e2c8647b55114b0800a1b16a
+B = -db4072e1d4bbc7a46b951e549b1e468cd6cfc4205378ee12db794ad6bfe021dc33bfd665940bd52438964ab986f641c5983e74e23768094355590edccce2c1d90987dedaedf8a9a3840f7004e804971d2607daa97974b03df376acf685af258569de2bf29a517ac0aa9085da74855a0076ad31cde94adc45e6dd794d60193a06
+GCD = 2
+
+A = f111f0846dc412346698a07450f2583b73a192b8db4f4d5e63f7d7423d21d5641919f87a5372b60fac786ecc007f5cb407c03e73cbbbe999cab22659ee320862044fb2f33d52d3e7424c12515a87094d1fe26061a0b070de63d55436169646cb0a5742728b161b127ab629cad0d4d74ba66b051e5d9fc3790380d74d582ddd7c
+B = -ea1b527f48dfa797dfa650e7c6ffd255f96c37967d9b8327a8c556401aae49103b4d202ab0de26bdcbe638ae0528707f6772ab0c71d34cbf60de735d6fa4b4736bc93edab15055031cfe56a31a5fc8dddbfdd7829b1399c295934269b018ad4f6e2195da8c2da66d964ae376e0683671776058ef88584baf483e63519b2ee299
+GCD = 1
+
+A = 7076c80ed4000cd1cb5c3d9b89d1e09b57eab0c701d9b1b754cab6faaac932d745ef0e16f1fe26440e34e826ed8f1b8d181a2598104dea50aede6a7e56c666c0eb9c905c05bb159a97b9339fa4bd888449db2e9fc0e1f82f3f90d36917f5e05e24bc4ecea072e9aac7805e9c7e637a8712e3704e9f64e9ff3bb90bd43a84922f
+B = cb9c40f46ab68fbf0d638b0dc394dcb28a51942b88b07b02c282d4ace3d379c49610c0e62f1c8f6a472370955e868d853ca14d1b5ea68fe5cc2fb54708a97e2aa60917fa1925f289bd723da5f9d5e4a7db6bb3ec01ace76d62786fe9476b07fa7408ce54e682fe638ed0d075361178f55280c20776c5f4628c6340b53805a567
+GCD = 1
+
+A = -408a0d198daa8008a0050af3ea2f00c44206537d86469f8dacf7af6f9a29870f7ccdcae54816858bb999c66717e592b1fa46dee9d981006a93e0f320bb6d5acc5436c32ea92777ebf2379ae0e7064043134f3cbccaa49fdad9cb5a8ab72608cfa8fd08c6d9528d12f0de14beadd4280471f1f40f2ac1409a274c0462b03526ac
+B = -b8a358b213b43650105b9eceaeb821b2f984c595d2085c44289fa911ce0bd36820a6b9b4eb4f834227873afadbc2d21bbded12f9f9d686436ba4f787dcbff32d556f40cfdc6715307e1680de5a8cec62ead4673e3b37128708f396e9671947c7f80b0b2129e0128dd99507b6aed0a160184b6d6fd5726c338f5e9d56c70cb781
+GCD = 1
+
+A = -a464435f68a42cb7379060de55bf9a1902f52f3c1a4e918fd8f6b07f255ab9329a58ee56cebd4e793873fb1146973cd0d9f859edc03ebf3a904f46f4b5f4255fdfc81c2b0a80a8e54389c18ca1894ccc16793e93ba98945588c4e50e1a4e0bc790c3ebc1b72f43f2b7197b1c5a407a591acc8fb9c7b71f0399a97d16f88bf51a
+B = 4ed0e3711eab5212783a75db0bfbbf36e1010ef9eae5d923ee6ac5fe65c2022f5d3a5932ab545b4fadf8355a0b351fe2c0525d139cdb9bf7df21461d81615acae275c49d4cc5d6f7488b318a051bffd9701852e068010571f553fd0a16d806f3f3648d85de664c88dea6fbff924857808d62d5a1d3511a82f0e8cb2f0304ba0d
+GCD = 1
+
+A = 6da1881883193493c684e78ab50c8db22bbd20bf526c9076ba6d5daf0a5116a275060698236af798d93a700c01739477ce21c719686514402bc6ce4b6a7a28f0d785a059acb0c08d5d149e78f35bafd718351357f0546f034ca728456b21ecf914e6cd14d27ac8be6db0b1f75a11b018be08aa5005f51e8096f821acc2b6fc10
+B = -5763ff3c2d8d2e39bfa6a952130248076a475320b8c7716827f725f4208db3f21c76b86a5622338223eeca3452910775bda483fef9e5beea46c3e78eca68fa177695bd0cd69f73c804d8ed91553b67083b6aa7b5f7da818b759e8b855ea3b83a2b7a2bf568fec6f017292aeabb1ae0a0b84807a9f692a8689237b0e0cf1fceea
+GCD = 2
+
+A = -db1d35d213eea304a4d800ea6df6f4a8311849966a0562256d116ede3d01fbc6fcbd2961770d8a40a3435b63ddf832c0ff7c7ea3c44b2c2e0e08fa7e3a38c7075a1eb9f97e23f13422f7ced5bc1d13d8fce5048643be6752db6fc165b6da03a018567fecbcb9eb4e357e7afcfa33251ec20e7858d47028255a85775ac4919609
+B = 43d8372dd5babe95c96c7c4abc33c0e0e264e8b70d6adcfd3c8050f2133ea7e94854b55cd0b2e3351880f5f01987a530d1d3ca4d7dd2aff38b96be31417cc6197d0f83a3f585093533b54069ed1116216d7acb41a24ece014093fb5c11b97b23bd631395e344b8887362c2d44ae37940b1d6916fe0ec52c9c9914e5f87aef9c2
+GCD = f
+
+A = dcfe5680e6ab4f7e4b60ed760ed07e762776074a33376cf7040227e9153383319ac415cd64392752f8b9a70a83d8a13014b212a0278258da12a2da9a03dad414fd1f225020c2d9e9aceead6bbaddf3c1d7adec9e9243ab3d550e78e769ca5373bf87e856092420225e0b9cb16a56e12357f1eb6a2a8a5b911236ebc8f30004b5
+B = -5255ba927d7b3dc7e5d26c654f20b897cb1d490f1f598de5c6cc09f69a8ef010590f844f5b7c54c658ae15ff5e68fdf19498848a5f17f075fe54a6ae58780eba1a248f95bceecd05724a74fa0e92d7112004796c362a84ccc86c300603a4afef44c6248986e986e3cdb8d9822471b0295b1e82951999eb69ee8734661987c620
+GCD = 1
+
+A = -ca7876ae7adfa3af16850aae906c2f8536864a4714d423bcbe27d924a41ec3d39791ed7747ac1fe4f289c02495510285a7e6dcd5eca6b44306e106431a777a498951b442260fc2bd68d092ab56b4f26ef8e58bc0f48c09ae0bcab0282886523f13f2a970089508daaced83587fd39b5eef165cd1bd0ba0ff9a6928734e42675a
+B = -3eacc2a2aecfd0c40648b9acf015ad8d8a75f700e8c40dab172f4395e91c8df4c7465b7371bf9d42c0850488f336134265b736149d4fd5088eb19e4f2f87c7b386bb8aaf0a1ab204d7afe03d2cb4ca34d6f0f6f88d911c11f403bcaaf9630da75b270c155bc65234dde727eb71e7e58601e643f4eb1d5a8c2f817e0f60f7b70d
+GCD = 1
+
+A = f92e1d5690812eb4a2a107a4a395b35681b7a8a183ae0aef2bf57c8da663def73935631700d5c4d13e0bf399747c0dbd1a639b42a0c76aa834cf8c9d8853d6c525296e0c9cce5903c98aefd725143e77d66528dafa10efc2970de0d06af959c9c70863c758932580b6aa2a01bb9c3cb28ff1916d686aa6f582c2a1337590e0bb
+B = -58ac2a12249be9e0b9a26741b1e830ded8f1a2375b45f88c1549ae55b9dfd7141ce5476e47a71ec6a1c4ea19d26e29f7dcc60c368729a7497e977c5992cf5dd783a754abcb5507b0b74703c07330866410b5807ec0f7f0b8003353ea01fd8e162b81b9eaa66217a90105a4ad80db46d3a6463ce1c344babbcd881f4d9e5a0b9b
+GCD = 1
+
+A = 92b89a12f6e7f06a2579a95097992e2a21d089796a7c331cc8b8b559ed8afb6b1de33d380c48ba7c8a4a641a5d2ef69d9bcd8bc710496e9e844e079978f93fe9e0f762199775ebd2d9d555b77fdfbb2f4d02717fc4859a15b6eb9089bee47f3748a3f98a0ec1723b4cd6ba972dd880db71080db11eb2b7aa677b22ad38da0f4c
+B = -27839c73bc4d4dfbcde48591297cbd8096cdf3cccb72e51b1df5a835af1f2331a323b47444269dff2107bf6370e80811f1db92ca52e9dbf7d41512563c384783bbb0efad2d56c25d3ba56f351ca8bbcd6db5a82d02b0b71dae250009dd774ced8975bd09789ec5229c5016229fc28cbd06dfbfbef81e020e1cde05f7f1e8a0e7
+GCD = 1
+
+A = 34caec1ca4f9e9cac45b2a1b4130968f20a43109db79e5ac72848ce8f6d01aa25c9f350d1c88294c6c2e6f58ea3755f98ab04a4b438709d17e76ad081d15e1335a6e7c63e7bdf52b46919bf86be1eef654f43ed4c857f454ff9641f90a982700cc4710016bd7e666aedfe9bb81b325feca07782a822f13d3e996060fda1c8619
+B = 6221d8eae89e62172409ff48b3a726109b6e0622cc206aa1f5421b3026c671898aa759c973d2cbbd50fe9ed0b06ac736501aee9de45e2dcd49f8491168894e08d87dabddd5a9977c52902d88d94e2c9106f0a8b1d18fdecd7caa60fcdaa20565ed041b4e688612b4e6bb0ee8ec9ced1b28610dbc81ad37ff6b2f492eb482cdcf
+GCD = 1
+
+A = -ff502eaef742f6cbc13795cb995f91d6596a8fd63eb90a273e78fae0e1d1a46947b8c38dbe87f9eae250bf502bdf3faf06fe8fddfe3e7f1cf230f6b7aa060e8fa2499646d13443a483205afc220767444c5eb40c2b2ef7bf3b17a16eb8253baaf287f118333795dbb23621fb6172df8df2c159169f5e0120c45f46f3d208d8f9
+B = -3ba904be06a57286f6bc4203f9b57f2d76b41e08594841ee17593282f68e3cd8dd2a4740d8fd43afd57653b0381efc36289831cc39ed2620ff316183dd6b13f50347d9cd00339e4e5ea87cb0e445c8cfa8b7924c08bfe0a53875656eb286415cff34c4f213d19ed21cab175e2bcd008343d92f71416703f6946a4ab70cf0ac1d
+GCD = 5
+
+A = 2e9a15576d2705cd48b66f82cf461814348911cab78e5b5e736ce803c58e546f5c2cdee8423c847e712af7f42ae33da4218decbc343b50d7188e91846044f27dd6c09720d0d5243aa52dfe5346a1882aeb68a13f5ab5ad253bfe82ce65b20c1060fb3aff56adfffda839a16772584513237309f583c3b4e279bd31641ca36fed
+B = 42f9ae1c4e870faba371d82704d99b2960573e40bc782044a93e6ef10c8855afeb69c89e43b41172571941b4355ab63f8979505b3ddad2385afa1c920a47dcacd2e974ec230f53b3304921546b350145d7069fac8368f22f98edcc7dc4ba7a9ef618024292e497d58b4421f5795c4e4dced0d963e2a9dbac10c2a9b9cf0c2635
+GCD = 1
+
+A = -abfacb184c39fca4044f0fdae54c4bbcb1d82355e86d13e3ec234a756ed118bf3684c1d33d694e390044429b2d7bc2245bbeb33fedbe48a4e9e0eac364f0a80cd021c774c6ae1d1d1906072c9bb8ec179b7122d1c0b00f6d367d57f45ccf5a722e6598b858dabb859dae632225e6021fa80221523e7d482cc1b467e9536b830e
+B = -7beae7c1941a50dcaca65c1068366e9b91f78eaa0dee8eea08b2c8d74be37fb984d17c39fc388e949f22520c612db684a8cf2b7c1e6b4068bb76a37ce5bcaf8052346b98bb59d29e017633d5fd27262420682c07892481cb62fc4571f0aac9eeabb755ee06d16e579bbb01593f00b4cfcd50b9d738d648fdc93114d917c8ac79
+GCD = 1
+
+A = -bde7be1b0969998361ee9b9f6161e2a2408f9e016484c0781e149998eb168312494afa41dafbfedf035a57dac5bc7402fe111b5dc8fcbe6dd10bf08e254f2652250e3fc7ea1046dd61771d47dbf34e451ba637c57d3f5a991cb0ea840da745d6e30a8aa35521447b44424d89e722e0a60a25820dc56169028122577a3eb23233
+B = dde0f8672eecf6cb5885fd54495432ac26ef19d68df3325d59338367135d1efa4790813f5b03e8ba4f87817675af55afb441705a339aab7262564292edca1de76c949828d533fe89af97fe265236752fe6a2941fe27c6cd695f9145d9d435054264c82796a6d236ffe8f388b4d1abe43b5534e726deeb0552d9d25ff60af9869
+GCD = 1
+
+A = -1cd50237000d29ea623c51302896ddc1c63c9d57c5bea95f2821b553ec9b928b052fcefdbd609823ac265aa6a477452016f01cd4093851a07f97b0f003a5bea56dfe99eff04801edf7529945a6650cbc4a3399c9675a36ba3ff41e958359cc8ef1de225bddefc2d5c0548556161d12018e59808d27267dd0b847c05b63a1669a
+B = -d40e4142e1f5969ea4f839e1808f9684a2486d352bd2b44505d3b19961dd0614f6c1f79022cdf75fbc356136d9d46e618cb8e8b814c2be55415e162862fa43ee102e3dcf78be3f58bb6196454a985b7dc7b7c80714695063b3b00655f891343b7517285bb9dafd950c4287e51aed8a61eef82d54a0ca0a0203239c5f6b5b147d
+GCD = 1
+
+A = -6ce0035cc0a2f898e3aaa5dbc03e5798b73dfcd749378f6503095c8df11c8274053ebb3fe0fbd38f9e3d144520dcb4a2c41b001283471a93aa062e52fc6ccaca649b3af3c0bbaeb44542868f6c31e4341fdf29d106439501891ad0e009fe030d2ee1772a89921cb6890130df6cced53bd394bc1fbac767a9e4a42da929934536
+B = -61870b057b88db401b1d34d4724d0624cef0469aae5ec319f29afb4f3bed8ee2d4b8da9bbba1ad8338594d77408de991ddec50dff443a0593b68d541de6b74950e90ba133d6bd59587f3ceef7e73f72298c177d0ef297b2895b2ccb4bf98781ea6d70df2344c3a95e3c48976b1905dca7b68fe9f653d64be9ddfc6c4a01c55df
+GCD = 17
+
+A = 779f020a5e14b5ff9ebae45799c1b2c6ffde59db1396fb1ad90516a9b7e50b5f98b32f379e47f781d5f8c7a21bf07aa8c6294bd2470f84565ec1dab52740ee009bc20b71bb82c453d628bf9573fbc227d216858a7edbd563181b57c6bbfb575463c6d0199db6e69ba8f36b4455b235be1169e0e81f93c089c81cbb8f74bc9651
+B = -932ed2504702008fcb8e50ae53722439d21e0f14662299a33c72a1b659c76d35514f0c41f265d0f599c61dd15819c97185903277c6b1bc6df8f25b80e56172a5b0b4d03aefbd56748b6536b901cbd4d5ece174791eb2f4656635362db45137103e4e7366d8c5889952968e612e1864ecbf4e5b7beeff2c330f6e33963b468614
+GCD = 1
+
+A = a296053f44bbcb543a97f9a333018dbcebf6148738a0f36bc0ffd9e5b2d68b14ac0cf9e1d9e7ccd19de9217c567be1bf17cf4ee6c6af349b5f0307edefc2051a671306b65e6ee3db624e7c86472752790236c3aabe9f060b41883855943596cfbbb42a1bdf13b9d36d017b42439e24fefe1862bf98e434d65855c9f016833cb7
+B = -955f3923c2f49d4a11a841cfc996453981a8bbaa157e482e5d61345a67e594e71ee2cb899c9f734eb36110789c5c65814d2fa1077aa36c4351b2a873a131aabe65a00b8973408000652bb764591630c7c00e1e72eed85e465d1ed40e8fe8612913a8665523e07e80ca42d70f7a459dec9f60ff3af67261c7e4f2222c8eb1d48e
+GCD = 1
+
+A = -9d54a3e12f3accb2a45fcec3f6b460a074fff1cc770be78aebfb1d694612622f4ce37ef921439b088a2d7350ba0319c9e8a59db1b5cf040d9c09a315c15eed7d76f0677dc055d4946902e28a369f39f8044aaa0d4b41eebd8baf27187a09b6b8ed10e065d24544db6b3d582e1c98d85f96132b0a498abdd6b13ef36e06b80509
+B = a8496c6007f910ffb98c3a0ce1e3cc424cdb06fc4b8bb65c78e62a0f75f24dbd7668e0c20ae4f3dbceae0edae3b11b09506b24550571e9369bc7a5977ca7d6c77a953136e62fb41ba79b328ca095d7c57d6e56a392bab6162c2fdafd168766332fc04c0111d919974a54bdfd49d16e2724a7cd72a6400e40e074c5154ff2e3da
+GCD = 1
+
+A = -a94636ce5d9a5c1c0bd6c37644616f8fb1a013628aefc96e25c639829c69feac88af74e97b7cb28c56e34ceb642c009b2318b8c31feed8b769e882f519ed19ad7403d82481a8eb0a889081800f4059753977efc77063ce879fd229b0782f71c760b91838591da728ce2dafbe0c00a0b365680604e293f86da837c9c8f05047b0
+B = 503216defde871a1789b7c7a09e49ce0fdcc490df96f9ba84271cae34d6f8df83fea328199dbf4e829ad12cadb98bb45e17be6e20cc1c30e060c663259b4338479e4af65b7b7a9353e82fbf7f3662e7b332885cd363062c0fcd4d20788cda471a56c157d04cd1aaf1681be1b458ca65ede55aa2123b8c7e4e108fa7196601a79
+GCD = 5
+
+A = f37e35f0cfd11b54a3f661810012975075bd681b7d62aca0868e35f21ffb336512b0c4e99a6d559a7babd81f3b44bb98f6cbefc2e20a1815613f2aebdf5bf309632547afa3ae5e8d3186f4045d29ec11fca23a0b14a850b31ad161c7a2f8989a83a479217c00b4312abafdeba4de1aa77232b87f3ebb6304c0464a2a50461bef
+B = f957d20d84192c92eedd6ea792e2cf53a4935d1c09a85732f409f8dc6f8083ee6fdad0abef4d9c652a88de8550df2fade5fd95ef8bb33cb58018dfe0435cbc6d0c9b29f3e08d2a1d58db44ea82674aa3a05d7590c6e4fa20932dcb3a1881d1b568df8e5f705e8b314969f626f7f66d621aadbd5e552fc8bd0b815b7b9c3992e3
+GCD = 1
+
+A = -df57a231085a42bc4190aa29a6b061568703861905ee3f979cead10169db6e27e312721e621e252db304329d318cf5f72498ae3e91f0d5268f2032ae80b1aa358edc919cc19a1a688cbd6ee3ec448b18592a83affe1e4d84e0c680104a4c7b9edfbefca9683e58080deec7f8d71b122c4a13198fd99f3a3ae4249a8e427e68db
+B = -e6830d14dec15cb2ea54deb63c6082dfa1647070e9d24a84e8f492ce23de5e1cda94f15854f0221c802ab2e4b540ef6117bf4ec6da6f668546409ee48a7176a523e848a1413a258d339d101cedd5e50abdfdf025f58769144fca8bd8d8e33e61c803a18da1446d1ec07b9b8d4b1a683791e64e2a85f5a4b174a09e62d34bbe3c
+GCD = 1
+
+A = -8c7d5b7b967ab1422971ffbeb22521137a5522d747c592979487af046bcc8c09a282161806efd4da6dfabd484af68a7f0f1e40afa894cdf2f53b25281d01a49a7efb2fb57ad5df9db4a01a3b24f684cb50388f57af885ebbfbb95d5a4d9871c8b39526f3344773a711e772c91aa55d7130ccb10ac4d9a98665cbeba27d6c6e28
+B = 6cacc8362af07bc36dd7f435f0ca65d53720df1e52b8eddf9c084d212f9a2e34818bd35babfb7043e7ba3c3a9f7bf49ce13c9d25cc40d58c806cb7340b3434e4e3f6b518707382bc8f471e8e45a23b47e4aef8273070bcfc380fe4ba9c259705598ec6de7b880e72be01eed3a9139e6bbf568faaf8b288157df55cb08bf409a8
+GCD = 8
+
+A = -4b33b563d997abfbcc574a1b98934a5428d3d2daa232fd588aa84ec9e0f6d29b97f562113422ca004f0e56e0f1879102a94dc5ef816e418dd83bd264dba3e2c2abec323a110924db970e067e0b73bce71d63e1f2110840d10a2ae7b986916fd24b028d7a8321679d4f0e66eb8c783e7dd66a9c13e187ec7bab5305fb894e527c
+B = -21591df1a5406e09297e3027b2c332d7046a30470b08f7e8074f513c07bd16f721842ec872e0a384efa247acb6e067a673a148944549a6b01a67fdc705b987aaf760987130438c7ea73df67fd0460e3ffbed0ba23e3474a9b50a2dcb3008bdc357860ece07bce361a36a7ad26cc844ecec3e0369f9e8e35ee0363497886a33a4
+GCD = 4
+
+A = e76ad50bbfd97378d3f66ad97df9aa8a7ae3614e3c4f3c6272a9de8fcd5baea049642b21bb59e4b497c723b109f6d3dc3fabf55cd38812afb7b7d9e4a1d4778fbc223d9802e6ac624ef6fc5f3e62ce8159b7c37f34374a3a0598ab6a0d64888bf1caf32ca244f16361d40510ec4418b5e69e4efdba9965c12cf478637952705b
+B = -adc2994d3f0ce5d9206bc818702c9cdde9853293d1fbaceb6b5a24272ea900fffa4053a1052d68979d2b20c29fbcf944e9f5be4ff2f51ecd2fe5a96728107096c6914d5f45cf16bcf7044c39cc3c458eb311ed07f94eb8f99efdf1630e0608f78724488b101d39bc4be8f2876b3f9e09390167aedc037f0ce2ce785dba875d57
+GCD = 1
+
+A = -a26d58676dfcba352caa8b7faa5aaec7f1785f0fbc1daf679d2aa6e9211a82745291c1690dada45dba1c69678218d4faa1498222548217c58c74d2db40e661dfd406d38406801e1606323abadaa8d13068595dfa578ad57475cd8b3651d43bcf4bcefc689b52dc7b0e435f4a79db12110948ec98ab112c2d6130a8864477ec8
+B = -ef7c6720aadb401d5ed469c27686663a7d1cc6260db0cb32bc98c567b3bcfff2d34e40c350aae332ff4713f80c0dddf6b2e7c099d40bdf5a8219936e048b3e2ff8965678c5ef7b9678a5ba1bdeb85125d05559ed9bcb712e8395563f29557d024972972fe183567dd01857b463639bf3adc69df512955be05c17bd7da23c4b6f
+GCD = 1
+
+A = df032624bb6ab7476fd8929208f0a3356f459bddabef866b1c37da5c640e236ce34db54f9a5678039cc663dc3674cd2221e2c1083bea754a51faa1f5fd7c9a128e1062bd393f13252c85ae5441b8d89fc1bbfef9a7cbffdc90449df52d6a717c290916b7c143f3f51cb19e68752f0822550e294d161ef60024673b944dd9ae47
+B = -f0882ea223c94de0f7429f7fa58efc81dda38e02eeedf8b6e83ecbc188e6f16a4900c9f5e58e0024ac8a0f5d342cce5f7bccd9e6e92428a0501a6b35fcbac51141b5bf23ccbca35a962f031dcd3c2dfe45198eb6afa41f1ef7db9b5c51062ff1f3fc85bae1b9e4864144220f31327944ef5f9e4921d6cddc9db4d10b9d60cc0d
+GCD = 1
+
+A = 21c379cd46c1653eea675f05b7de1936ea8c6059f379ba432075447f4193418e6695696c39a402d495ae5ff0ef206f6f8728b5dd15c4bcc99cb8df2f05bf1e3269ab54bf559f893d7de0092fbe49af03b7e2838c9d9893ffbe6200d7e7d4ed9b5ba2ca4e9d74397c7f742a019fb2e3c8111f5566552732f9abcf3a080301b08e
+B = -a91705a139ce7019af10fce8e8ddb9bcd3f956ce345cd5d9f5a0c75a164290dfa9e72165d12ef52cc3aadc091eafd873accba9b578a5e4444df0fc704f728beffea0d0da4751d75fe689404d10683baa05438ac2bcb58c2ad9678de6ddfa076a2f235ec0bba35add40999620f668f714f3a198f6d97a920b1e2e37d3b96cffc6
+GCD = 2
+
+A = b268ecd0e391a74a5fd3f1b6cd6d2a6c0fa0a8528d2dfb8688e820e0c86314a4f1b69f6fa618db115574a75e3673f1bf7077fa21e34a7f4f5bb08a485aea73ca984d300a941108d1b637e3486778f63a7d88f8873b2a7471c64e9494349c7ca33c74fe6c889f6e515b10207b5bb8800094362e7b5267d72ab3dbc7fd5de0f8b1
+B = 8ba48fe0806812f28c260759db6aea5a1c5b7d76dc6e7e56c1ea1eb4731a0cbf0a2146245642707a93fdfc4eb2016f74478558326781e4be7801e58f4d360de1030c164bec702d8768107e3871f0e586c319c9c464a5cf01ff39bda5e4fa390d7603a04f553eca09baa1b2b540ad4749fdd544e113c5fe66ddd1b2ab5867c6da
+GCD = 1
+
+A = -81a14d3a351dfb5e769a0fa13ac1ba03adfb44c0e70e859c08515b123304d698f3720c4bb93004dbec54a83b2958e5a1d3c9207e86f2e2980f82383743246db9ea143f28a84ad125ad81f9eeee23f7f89a71532582de802dfa375745899e1cf7e2fb7fe4eab272178a57c6a6518158a348c4638e058f9383fa4d6d099f890004
+B = -e7866f33c29dfb85e07d50fce9f09386a927dacd97bcd535e05c87b460867f9736ca84de2e7b3dee1e8876094ca31a9f3e6888ccaf8691361de6ed22ecacd22ad2025abb804bf082719b9bcdf94e5c107f31201560edf83c194a47ce27ad78640eabbb08f96048c5dca8c957c7f171ed927ddee287d2671b8cfc4b9efcd34d83
+GCD = 35
+
+A = f07fa8c1249c09dfa2a5b5c5666a1eef38d98ec5cb95c24954fab3e619a79f07da25ce5ed0763b6b112db9ea41e0a39043d25b696cd505277d759841913896ab492afd1a3fbbeffa646bb09f375d749728d55f9ee8c0c01d38bf1ac5e1e78281c5d9965a214c78a03fc01a8b22ccd0e8395b9b6c23acb6d3d0e03f8ad8523e3d
+B = -f7992a5509162338e685c18223f9cab1970c599808940bdf68e036041e89daf4ccaa468863ec034433fad37c19f26758b359563efbbc8b1319e14b1538408d8b86df616bf76994e843d9eee7b4b5122dc10e6dd7509dd596d253cc4165f6a4bb41c06861a824a45f576e413a701921ca4035dba6d0ccb627ff50c5cc14c4b155
+GCD = 1
+
+A = -cb8ac44017ba238d4212bb347e8ee1cf66d7c7927e74526abff4a496d552b8a9dba6a2417cd6ac18d619e930859493ee27ca7a4168b82f8cbdc168ce66f150e104239388d2967bf669d098dfd3f7c14b49460c3e6218e3195724996318be3834937a1cd8b4c31d8fa36cc9efac68d430958a705338a3d3a687480680cd622457
+B = -dabf6e2de58d9953d51d5027324d69ebe731d90cbf234bfbe301c3ba64c83c296b318f7bc010de8cb5d97c377a418ece4acf72d447fb282fa74d7c580b689d52945d44a19079f840dda9223ebae08064b5d47d7dfaac5a6e634b19047baac0e3a57dc8412b28a65e21aeb4719d6683eab2c427550c4fa2f4bfcc60f1cff9df1d
+GCD = 1
+
+A = -65b865036fa8636ed1ef024aec9b06255f736375b54859dcb6555a029e7fa46f9cfc8e8cf511ce86401c59b2d2a407b66eb4b8f40dd7074c9708e036220a72902fd32468977b66381aacadbb4a4ecb4bba23d639587c1f252f4c2f51e4f3632619f2c351c7f7e9793c8db97b92378ab360c1c1051e51df4500512653e55ae46b
+B = -981d477aeb1970aa9d1330ac9bf1d1b9ec0966547f62f0d8dd81fca25bc679f160056efd1c4750e6a72b7a0902a1eac992912db780842c1733694d5c42ff4ba4f3a0baa7726fcdf9bb05b12477c0047dbdea40411ca38938cbf3d8188f008dac4a2e9498bb518c0ced1e6a2531ac686cebb871f6574083771270eb67497b7765
+GCD = 1
+
+A = 43a372a3985094c0d6affe0ca94b70c12278e9ba2fdc4b7f3b399200214c618c57dddfb7dc87aa4ba948e89d8795fab80554a96fb820bc70a9240ea7805dabd715842c5998ad16436f72027af12a7e3e4af6dc977c25beef3d14d32b060305f388ae54ff34d3dc01f9737f80946764810fa17ac7c4b3edd90a68f189321a0eb6
+B = 14c1f76b12d6e75a50fdb169565ce361518c4e15cfcd888d3883aeafc8d8a5f7602e0d5f87189a056c4ae44ecd918b0f44a0e3ef39d1f5bc4a1454b495c0be36389fe71a069989b7802314d979180917b90e8cfa4f45606c4bc86f7e71f2e7debd81ce5f4ac78714779c433f15cb907174b7a8ee89a695a9fbd79e7cbcc0d527
+GCD = 1
+
+A = -38b25215785d328a77623832d51ab84755374962facd5d5e717999e78edfee5c3c2d6de6bfb8eb4c23eec80b98e3093c20ca258e6213e2b7c055ea44f048d51dafe9f802ec505a2ced55d6d80046b9b3212e921959762175c5f09f2020e0679c5f9b13e634dee08268eab05e4320367334ad3d9f4897db5ca7dba0f475b704f2
+B = bf0650c4aef678cac150400e06e7281591f7395dc85333af367addd99be31885757a7663646619b631879a442fa299a78bca076fe8bc0326ed62e4f92b8129c0e65711a0f035933df7bec1f4cd0c45be6559d771b2077f333c0940818461e8c8e394a13e1cb1b6349dd97d99a73460ff476bce30103db89de7f53b3446db38f1
+GCD = 1
+
+A = b88fcef1a65c429fc01f8aab9c6ab04696d7c20b747e7622ac1a36a382af92799a6fefa7e395ccd5dd1bf793ee678583f5acc1f733957213d3f9e5faef7f01838ec7949c990eb83407df0c43abc60bc7a5be4821bf914f3cab354aa5289fc1ea9ec4bae896476a2c8cec9910dc7a6c6c0e4d13f1bd30f02bc1660e83d959025c
+B = -8fac4a9109d38f3c5e7ba7064c174bd3d09a452cdb201d4b95d328b3c26f507d96b6762284e0cc47afab8cedb2daf382524238d06e59bc5c2754821c97fbbe1fd713b56c2ca201906e8d42572348bedb1eb94734d34ce5709f1b536fa5bee61cf2ff025b7de2cb41b99540ecaacea9ed6f50be8b6369e66978a797aa7d1a0cbd
+GCD = 1
+
+A = 6d0bed26e9f4889a74fbd6a974a9bec4805b76b74efe8ecb2036712197ecbfcd5c692767d8a53a036e3d744977c00a1cb6515ffd190d856c4a532800cc2c9a7ee58ae7a94e521c4dac3e360d26aa1b75604d13d74c86c600639b69b75778e9b97befd1272270d45fdc1cbeac7dc60e40593dc9fbfd7c41e7058f75cfa76ea15f
+B = 71aeccc1b64c8136e8fc38efd268760660593105dd392b27c993b79ede50c74d69f249b3a5510b2b52f2785fa2a74acd2be549c492fe0ab47474e5d33a221c30234b7f3ffe52473a29157b6b56715bc747132e484ddf343a9495761040a09438e9e5c593a8614558070fa34ee0bc092854e4361566f4378fc90718cb0a316e3a
+GCD = 3
+
+A = -aae79b902e43c29eaf5515ee58a3ec34978b53d2b2f930170de3c722b64caa53faed9c010cf3311bf2370f5de7b23db3f80892a4075ad40c28f17dc576d25910694039d7ae93cca990a81b9440df60805b183810882e3546caf68c606b8b1e4d268db863a6eeff0246f1070b08b4efbeff1d0c2619800ddbb70cfa7555b18937
+B = -418054795ccf579c0ba706461461fccdb9cea4b966e40abbf96c8748eeb95edccbdf79753871be48635b6b63e91649a9a2e19091122cbdbab0a700b56ed31d5f989c6fd33c96b226c53663b331db70c22be07d23004acef438666c007bf3ae1cf68aee5e9d2eba546918f969668d195b54d996719a0f9a780b3283c9a8ee97fd
+GCD = 1
+
+A = daf8cde04e24e01e9c732c2c829a655763e92c9793ee6d3aa9fa587d80c756430447b3b41840be0073709dc86eeb3853516dcb130dd43657b8af64f1e8674c24a410b2f8f8e13ec59594620ac1a6868698a9235c0976d465fdf64a899eabe4af7d2dbc824730b6a35465a5bf30726f2364c0fc3950c1d7853442576244b6a08c
+B = -c1e6213422e3bd2ba3195aeff596ead7d8695717c514766335d999fa8052c8bc440611d34b61e27e020beb3cd5ac3495defd064de1c72dfac99ca6461d79508468ca991fdf487bb4026c8d360decffc01a5b5df36cc90b08bbfe20b8292d48d0f22a289ff38c986f36eefd3eb8fa91031d77b534402374fa8757194f6ecdab87
+GCD = 1
+
+A = 1f13ff29f61ef53ba74a584bba2f876faf30c3a48f14801f2670fc8c3a3f12a6e62e9c69751f6046ac25992e4fbf0939a55ec2a375785367bdce907d4b9fc5f51bf3c59a4f8cfcc157c22fd814de1a5adb87b9c022dc93c2fa0bf8722380da01d82f81e3ab90749b6c5b1b76e21b09e1da1900f2aa70e0a9e2f007c2c3ee1c0c
+B = 6120a7393e915c22efe5c1349fe12e735f114c16361d84ef3909d35628ec556ad9aaaf010bd71cb54c43c958cbbb3e714c5945076636359272282a92250f1ba4ff21376ef85b574516b1eceb0a3e2aa5cd3ac99df188b4e29916d83a3ec033280e5257aa9bab30071e82cff29abda6ac993d0b7cf8a0c1fe5d598bc3caebbe5a
+GCD = 2
+
+A = a712ad383a734b4ac4d9c72a932622fbb2fd0e657a0e09306cc50f2307d4d7f488f5b04678913ddaa00d4c17e5e4a79dd4f4ab86dbd0e223f1c05e10445aa7fd7a58d0295efc04bfa5aaf5d6a810d875ffd9fd0abc89cda17a88fe15fd40407f5cbe53bd813b5408068d8a76282bb0156e1765bf7e9c2d4c4c8bfb804d9f5693
+B = 4776f15c7686fba5de4064e7bb75196c5bd92140f7ca3a118ac06bd35a9c730d71b47bff57f4399b746a8164fd392ae94e2111795c7ce714bf3072162d8e079537e17f3a477ca8799532654f07561e5b3916ba21199fa50512e1e3541cffca5729e2f073f23eec876c0a2460b6fb81fd49fd841082e5deddf4f2e7ba7fcbbf82
+GCD = 1
+
+A = -c6ff0a22603be09f68237d3efa36c1701333b0196c3dd3d7612584fe9431cb13d5ccf753b0c1b3d35b2e4e59c005fd6621891b5d0c0acf9bd47bd20e15bfae3a37cc76f9024f3149127f750629ee19abf1eac01c2ddf9fd87ad55819c5efbc2f542bde99cd8db9f5be25c24da53ebe3dd28ccb07f2de8f0d11a5ea3cc8be5ec4
+B = -5155e77dfa312d2b21b46604fe2fc3a334d3e3e1a918962e9d0d9cf32f7f58ef942b770cb53a740fa464e293207fa2a3fa1fdabf4bde2f30d173beb37a9c314a1fab9c94e7b1b98558238cf523d9b48d4bb5ca638e7ba0306190632e30b92c0956068ba4e5207e7d280c608b96758d824cd7ac51cc074c8b8e194f6f0918b3dc
+GCD = 4
+
+A = fd21d30e49a0305fdc6716f6ab7472d933bd7d4d857228a6f5ebe1966eb74f395a474bc12bad45845717656336530c79452b8e62c8b661c80028d3de7d660dc603d6cc7b34e3dc835f5ddc8ee2496df0a55f628926fc2d3c331025da1972c80a142fb43690fff14edba13093b71b3aba5611cc60a85e8c8269305bacbbb9ae5a
+B = 317c0d2092a5bd71a77b28bcd59599243a2baa5cd6593d553d7c0f322ca20f9b4adab128e7b7331adfee4afd47f2413ecc210d75994f319a75529f6cbe929ccd2244139401b241dc9f349076c6a07f1b41da7f607b1f94f536d62ee2790efef71500e20f076565d712c2bde1e54a5599975cfe726b47cf5f5a8ce308a58aca41
+GCD = 1
+
+A = -a77183cb2c846782bc3c76bd01a48abbbced42256e2469157bbcb0174861bab7658a56125517ab6524940072788912b15a17873d0630c74d0786c7c998d9d6d0ad01c32aa85814a4b6435922b8b9c227d0843ae5dcc1a6487a219793420477ee62319a074f31b4035680bcf7be465b61416cecdb576009f021d648436a62c9a6
+B = 54ad1186b5b7b38611ea9420a9c5acd14f72c5041c989b4f9e1107764da5b664cdc6193d09e24dbfbd69476e56d22ff99d9a9b00ea7602f114164d63d0b10400f53738436353769528827cc5d4a06e6bbf579500ae1340beba7e3df6db3f78d3562571d74a5fb00e6884ee95b5fbebec61c357ac235bcf3114d7a0b757eb0bd3
+GCD = 1
+
+A = d12591808a77326c83cd03d4e8014e5bfbbe90096676a7dece3881f1452bbbd9ad22346663a8e9cccc982d91191c16c7ff652d449b11ccc1d9b9c6d65387bf849f8e9fead8f6b60b45309d83f81b444cd24ee1f562ca06632ddffc00310b168c25ed30cbb04e83ed99ef95091100d1e49b5eae1e1bf13193d54a79d6b89da5f2
+B = a4e5a52af81703a4ca71d63be1eb12479c07aa1413bf978ff5390954249523afc71a74893a1400e9382dd8b47b44756f9e374e76393ea3f76ad00c5e14584d67d3af7a8963218313b5870e1a0c16cad9863762ac89b06d667f57845795e4b8384facd661bd5fc1cf00acec90dce8130cb7114dcc1db64a3566d5fffef0758641
+GCD = 1
+
+A = f1515cd45bc9110dd40a05bdc25513ea453b89405b42588c8272a59f011d926294cb40f1e14eae8383751cfd7a0f7210dba1ec2b3d8135616db29c1b27dfa57758ad9e0d46bcf3b71faa99482fd394bf1aebbce79d25812a6556b06003424bd76f4ddcec7f1296ceee1a4d70a1a5e13758882d7cd35dd9c9dc753674036b081f
+B = 473cf0ba3fd689129f57285191508310684b66cd3c5b5159ee602839bb721169eaa3dea26fc758c71260846a16ed0757a220a3bc262865de0824b3b9f03399cded6194e1229ba5dfd4f0436c75657b7b96cac4cd31f64d62af94373c1dd5a028b88d1f88ace120c0f3a5f22aac0dc2ade9d9c773a72d1bb3e6c7c3f5a804d9e
+GCD = 3
+
+A = 9151a42861828b4488cc0be096108cc04032973871fc889c0588c7a8de390384ad84836ecdceb2a532dfb200defe5ce66809a7d4ff4d31236042be18216d5bec8530d9bcf9deccd4b57dd81a26bc13390ea840d6facf12491ce7861773ef5a571d410f4758e887eaab61420c350e3f87db7a90626e27aefab24faf3dcfc45aa6
+B = 4505c1520f6852d35dd0f3778eba396ddf5efe730a5f3db1cfd594606fbcc1e97572e9d4cc26be153c5f945892a896070fb70d1e92a4155fbe12c1b17b48f0b9be59f73a1a55f248f119c7f28f5f4ef7782f6736c26836777bbc9234687f36308ed01d635ed5d4806628f5723ef8f09c7645080b4902e8c5eed5a80589ca1f42
+GCD = a
+
+A = -3d1b41fa04b57c10234693943c4f63c1703acc6059fec1d735beef5a42d80b7b52ea3bb062d86ec2663519ac664ed46148ad591f605422517f68487eceee7a5cbc6f80e9ae47b6ea4f5e1b6393f2dfd4d2a74a791356582117e255f8fe6388cbef75268d214408e0c96ad2da68c91c17a65687f93e72aa75a337a11b5ff62e57
+B = 87dc371fd217bf4a20a1b227da2ebb6d84380df47872f4a303f00a1f5d531ac4513bdead520dbf3dfc03e7631c1f1d7276a6b4877d9ad112f55631287ee1b281da2c5bd648007355e939077573919413d33cfc8ecb2431380c013bfdf05f364a9a5a8a12e08188ad726853df2973b248ce30634c3a8c4c0220fc81c4441e8b0a
+GCD = 1
+
+A = -7dd56f785f4a548424730a6286300efeecd23642be87da54ff3d492efa629e22467be9b35f324b1f426ce9e8aaccf5ef00a9a3bdc07a94f147e5ce4693ef6a1b1578c6d65435988f95aa979e73b1bd1fa180bf7c927b422a81d6841d51b2388193b69facde06751b54070bdfc6ec49938106188dcabb0d27e41f71907cd55fc5
+B = 676dcc9713c7bc5f48f8623980dc70c8a7416771068c98d92bd9847b7e063ef2140bbb7a47e17f3adb900295a89bb0dda74361c0e281211ac727e5b1051e06373ba4eafdceb6aaddb5ec2ef2413af512e79f31a768c1918624b835dad59220e94eeb506a6840b9149e921d93cb558357f49da6d2fa20050788e6df5df5818004
+GCD = 1
+
+A = -c309840459c0490ff8395dea6392fa5ca8285881d7d5d81a604345740d1c9799b687e7d0806a4ebe9b7eeec64fc248099b50af8e18852814bd9dcc74ddb5de462ecba55a9e0abc79beaeaaa1929a48b1d66dbb74f23dbfa73555a6a2c3748edb351ca2f9e2b80659bcc11b61b595265728148f7575e31cb49cb285a5e112c148
+B = -8c4b3fa57df015461a1c22c625d2233f025644da1f0a05565e4fb14e9d380597bd17fcbf18319b069afb59f4b78a7010ba6c967b7fcc164e1e88cfc0813dde04f467990ba4257378fa1ffbcc6a4388ff9d3f4925232fbed09e07ad262e419492eed3e6cf2bf6f648db9bf3548c6df88cc8ac08582abf27982fecc1f08d38e326
+GCD = 2
+
+A = -2fc99b46f9ca75ce80c4e2673c8e2d1088ee75fac5b944346d92386f58bda65702bb18bc1ecf384c27c5b8af9f680977900d71191853709c71979eca9a8dee53da55472bf483aeebb4f2440fcde48721b378f94e73c94dbfad2f3f8c91df0a4b1598d348e505034e6f47940d81cd265e4fba8175ea548cce777ab6efcd784dde
+B = 7765803dd955c4d3c559425ff1c3aa4201a15014eb8a5fbcd85cad326d26040d66e61e7da9f4de9a56a7dcabc3aba3b993f2c5b90d4c0bbb3c275d8807a37bca9c58aa17877614b8a086c12c0ed3d143cd9c4271864200e128b98cee6da9020979e75453bca9f57c64333df59a214f9897d5c58f327b6bfc13ba15f2611ba0f8
+GCD = 2
+
+A = ed8687ab0438c4208d835b83ffbf8d55d5214b2b39d17c419b6e6d07e3798da5c01c9ebc4dcedda314437cd27168a76195e718384bff709ff51aca1821e40016f920092ad51562777c969e72932cf4014c1b25c0878909c94e775ff5653821028c9c9c64f5a538ef2dc0a0d6f004bc909ec54176b1e2e6ae5c8b3c3c2d445150
+B = bd429f988bf8ed8fa53b5832a8a168cf0d58a992d6362a8d95912714a0fb2050ae5f7356a5dc5da97603e73983ce2276b7a7af4d1e91ba4da4dbfa95ba09dfc8c990e639136312c4172692efffcf6ef5030ffc15a9bddc3ed252b21f345f9f2d74fabc424c86330f92f47afb4b8bc934bfd5fb97ca1446efb0e482afc70d9cfd
+GCD = 1
+
+A = a51054c371b579d89492a0857f4060779ee58fbc1869852e38338a29d1a5a392a2cbc1410167806e6c2346bed7e8ca43cb320c69cb3ad1b564a36a2dcbc7c5d9182a67a8344cabf38111953d6bd7982c570c291e602641fd05434f480323498998b3dee6ead61e0a937bd2bcc0e6b9c580f8b9dcb95a61b1d3cc28518dac1a0
+B = bd5c6d1a4c5f6b5dcac080c571518d107b67aa7ec649122f3d1e9c16db09b746167d21774a8324b8a36f6192414b74d25cd47bc86363a1aa587f1a267a50e65b538d49f668ee923c4790393c94aeb23fbdc7521a7f6b0c0910e4be6ae214800819e6c4a4ee3b3034aaa80b92d5445b6a7061a0c8b0f639077912130e2e3f05f6
+GCD = 2
+
+A = -12f5509130eb7500d7a60e8a21fb7df4b83bc2c3b634ba2cc07638db779ab043b228ed91b863353b9f74533d3fa4d0846d445f078e77f441a533c2650f58c586f4e799e489d5086fdb743a56b0cf0cab246c66462a356d98ee9933fe6eeffcc27b51d1da421bb6c6f267a6d6b9a0d53bacdec37253946e31f8c2c2c05e435031
+B = -f9a1feef60b8cad7cc064391b7533fc40dc209bdf8730419635d6140a5e2104adee7f84bb56cbfe61979b2e64a7699d1556a1bb6aa794c123c41dcb4510d181e0cf0a1f6aed0a80e15f5617f9c282af0378206f970bef7f29bacea5f4f3120268d0269251e2d9537d5a1a7b395c7d6cee062fd216cc3c49c17d3d5424d9fd5d8
+GCD = 1
+
+A = -713365950ca1d0c2e752f6f77b801fc79a079c360dfea91b2763f887c4a76cfa613ee36aed15c8f3c9fdc6912d840ec92616a304803da1e581621fc04ee43c247df101390388dcd36a4528a500376179b8169916d7cad20bf037450ca406f838235fcbce03986d69c857a1288b57dc1d67f6eb37c2e6ad9f0117dc1615ac8e46
+B = -851a56490fbda7a668501c9890e0ec97c26d151be6342e4aac8747749c874df1ee747a22aa763349e59a7f6421e895432f5bd054dfbfcac7a06c27ac9fa27d71a2dd9abd5a92906020e2be5ab8a055a2e7729a3e099dea080a09ace6d4610b0f4fc2bacbafc8e443bcda7b55d5f264b1459d1dce0b74039e536ddbaee59c037
+GCD = 1
+
+A = -a1e5cfb7a0ca45afe7e86a4e4e6021d64ca09bf2820b87c828c0a9bf1878225716bb083abc138f6690c582c39cb1ae0811c4d3225217842d0073b35236de0980d88a4130185a822b87b6036fd7c96e554790afc92315d72533a70517a18d8efea52b86b48eccbbae2d21a418f9154d686c29d4038a42bee17b9bfe1e9fc26ec0
+B = 2573b52de96c92c9135c5836214b07fd67734315a9496221c748f2c3bd52674e8ca70ce29490a3cabf46c82bb19def3f1f244ea1f76ae29a1910251a7be89a7b13b4e0eb81548528c7e84bda9414e767dee4790f43868c54d7945103b939a13da20c0aa81651592bad64b59bbee340b668cd5c90113fc70a7dafbadf7e27fc49
+GCD = 1
+
+A = 55b2b0451786487aa2d5ce08330fdbc73d45009a742546c4aaeb1a342c40eba495717cf01edc6b8bf9a5cbc74f6ec349063b39c07344627d35a8edb57e2c3fec531e2051797e3c52a3db21b65ad940d5f9015c33e03d75050f46b1b1961b9d843b936760bc5f83a26de9c7d68aeb1f0db567ff4adfe1ff8ea07caf7fdbba5daa
+B = f0bdca936ce3d3b32e23a171ced7edc74dbeb98b8221f24091a50643dbdfab8da843be653b938f317ed5eeb621979e7bb78dc5b3d5e93c830cd21369459a68e3685ec1e96ca6b2d290d49f563691d749df977acb80f3d0a4958c306f8999c653c7a690cf196ff34ae52a715a74ed089de90a45530c5ac919dddd6676ec569d66
+GCD = 2
+
+A = -e186af8ac9709acd36e21aedb4c927600a614f58b47fdeec0ee7902e562d99dce69714c6d9a01658dc9d75bda9cf4e5512620a2b8137c747a335022ffe925fed08ee390d3f45c963f594f49a21e235ebe8dc59ffd4e1d41c864a328b8d37b51202380186c0366f74ec008d65f11ca484901e72ca3523e526f16c77e1b9013f30
+B = 595be70c41f6d3380b2dab9181d8c0e975466fd97639dbdbe749a68515a1e4e4752010965fc5459eb0420d1e7637e6b7b5ed312df63a1c50d3d50bf39e0f1909df5628c111cf99f4612e7def00451f9099c05c008e92a0a3cda3de25cdfb8ae3c05a49b558e3f044e0eb337c4c36fdf4d4e088337fab36382333c21074cec29f
+GCD = 1
+
+A = -9d0a4ad5e8428bec2f6faa247074e846d00c7c442949c3cdee5ce54dceb83205eb82f69c38b46f65eed493bd392f9688ed80e4fdeedb6dd8a2a2139d4b1a61977402802762c209008acd2d3cc3291a0de0f9722f9cc28f1a66cbc02f844f9eb83ea207beeda5583e8f39b85a83cbb96eb0266c6eaf25e8b2c8625728ff53a649
+B = -6eb723b317ac30d3658b8296eaa7e3cd58f2fc9785426f5f88ba987551cca52c1ab20ed1f17a6863fa34b062515ec0bb9b124dbd224b3b6581eed8e3e202fffe16422f62dd4ec41d276e91b9b5e26057d10674087e093f05c34378bce5ed59e1fa2368fccd42b2955e54ef8bc0faa59fd0607bf7e35d39ef790e713ed507e4f0
+GCD = 1
+
+A = bebf88341ae86d4b9eb386e189efe8dd88fb7a55e6b10646c3d291fba7d5823d59e7e97a6e995288c8ee8b4b127dd4e9e2e2758ec27f5f608075fdbf16e90d6547be80ce7e97e7f4efabad3475b197caee1470e1ccfcd4f98d401755fa9803aa38cc3ca67f3e2b852272beadf4cb400e9973262ec514545a193d29ea98fae3ec
+B = -4f28e7bd738d006cc40c66af464351e3a353f8d8d35d7388180b3996be158ea7e5a58c898b6db659403a3486297d0e33305ca21460b5b5e5ccf1fdb8b861f85b64c5fcd95faa3fa2f964c6460451e0ddb8ff9517eafbbeee1290c9a296b14917f0d8a8dac43818cd05732340662e1298058611138f4a98d99e1cb0668576bec3
+GCD = 1
+
+A = -cc8a5eee49715ca0173eccb68e5be3eacd5699b5998bb2659f08378a218f7b5e1e45cb3396733a46c231856bf127eff8fd5029c5f281da37c0af07049feba7b19029da345ad5ff0760eaf8fed5798c03a10e311e2fdf23801e8ccdaabd3481e855b2ee73460c21a6b74eb1b3a5571a70d01f24433c87039222dbd045829fe68b
+B = ef908d9cb815fbe02b89154849fd829fa15bd034f46757c2d552193f5bbf75f22926f0d0460172816e52f93e3489b651d5ea146dbc16d42539294d6949c103d5bcf8d802e4d0f5ecbacba1c943e5d08e29b190d1ebd2e725ea3a797a4b7354f1f775a2c6ee3b695c1377e7da40c076a310a6531eb2c65b4de12eb4ff49a1c01
+GCD = 1
+
+A = ee25da44d22b969603fb9f287e4a61d52d6cbc118462b826d5bb389a682556ed1ff15fd04e66d03a053f5dd3a1852a0e1d177b7e7abdaf511f465a517b4a1b890eee2dcac330118177e76fdac9ff7921367b9b315c2c8238b364ea190b54656224ec2af0da888739f3ffa5d9dbdd4d76f9af9722331dad933461f2f323c23d15
+B = 33759eb1d7dad9e7098668acf316a6beed01135177852cb3b1f2ad5abf5b64d1817c9119975d6bac74fa5fea20d19ac72e7d74167753e7f191c36ec7c52301a0a17d96ea499ca183a585f640ff27e76320137503400734ac397cabcecbc7850f31a31a04ff562b31ee7c7e3742d4f4650bb9ec5c324b053518ac63716bfef1d7
+GCD = 1
+
+A = -e8f9574b884d9a87bbf4d5f694e7f9938a537b6dfa1816feb451b48916d6fa3bd2b1a123d61fd9f673d45b2dc71e633db4c6e8e515b4a76419bfcd5e3a9e81e56b535c78e0477856601cabc940d897bb8d718985c98bd35a4155539192909caa1c1044a154b8465b91c70c9621d0fcb8317be48b12d2f3a7c8a15ab0a40c8d81
+B = b33fc45b073853f4616469588d43f294ee43a07cd5b2f150e4f229dfa8ea403e8ca31f52558d54c61f0466d20b082cc579ed674d96749e9db484eba1658ab6b6fdc1ce61684e5a65e7e6934741d7933321336190877bb185a16216b267b2c52fd874d258c89543452f4bb922a11fbcd5dc9bc04c7e2580169975520833209c91
+GCD = 1
+
+A = 691711e53ab60cb76d7af1a47f705b938667078af7a1281c4acd7b00d13caae2f7f125cee919fe6c0a682cce13dac2691722f4f3c887c9f1eb493f07c592e3b0b1ed3cb168cd5f0feaa8052466d057e299f0435167ed9df6ed963e708059bfc1f433a6b8c1a8ea8e4dac62dcd941b00cfac66636a9daa2e865a401bd76e7e208
+B = -7d7f2c632d5cb8277cac8b9cee326ba5dcf63dfd7de20c192f5577b3e40596338bdffac2295c977091b578305479cd6eb52b7382f48e4b33ab4a46fe084694c9705897bd16379c2713b6d6284f5d86c20e37a867b4528c83e0ff6cd86e66e8c40939d0ccd81520cce70446f124b977fd572487a2a5d011cacde11a70b12c75ea
+GCD = 2
+
+A = -131502a0f0b7daf349b54f10bd806a7638589be94462408e424793ed426fc01c9feae83121272daa70e0912be1022ca436f928d02b2de9af001332f37f76388e46167f52ee302941366d00095fd030326d5eb990de7cde35f0057ab394ff34b23f450c0ad7fa5d83de2719de8ba8f62638be4ffd1cf2800d4b462608aab2e1bf
+B = -bbea62f6637917178bf29d7dce9e500d7ef9ce2c042ada06b4a48e80116ac3fd668f03b89605ed3bb3094242251bb2a0d6873eb388019165b261762cbc914c76f9b1ba8f9201246e33f8267e1c7f566758a85839d75ba37dd5689a17d988d69b25ac0ba813483b6d4797a05cc0a6b99d7446108db8d6e1f2e1c1466e3d9921eb
+GCD = 1
+
+A = 705512bddf2091a984dd345e2ff234dc46fbcd7e8ced866651ad5dfa5e1a4b7b035854bac002a53592f0585e72729872272c62414c5ab03c78dbfff3df957a4c042326576462cf6ca15cedd27e0611190048a7b375d6d0433d0b93580d63e969ae558a8e2591abf1c9d4808b6f4060fb382d028c526aee6a6601aefbcc0bdc02
+B = c47c3f0e969b993314fffa9f130f862bdeef386bcc1ce35bbcd1591c3d9381b8d1a635fe2cd52b6f98f384e896b5a0bd5266c3f6ddd836b0b76533eac987af5b4ba273fec63e9f11be465c69a3be84c1c66141990a7365f223f41c811b2af4a3b058fe62edc9eccf2ae8bb7ce872ac7bc010b86b0baf38130d422487ee241e95
+GCD = 1
+
+A = -5f2fa7abd4e3b1f8006b2b1369cce82cfdfba1d839fbe5fda5939fdbd8645b6d64de3b4a980fd19de53df15ea268a1ec78e3e6014637da8df6c9e9bd8b06db939b26c6410c824f77d6ae5617ef70c032d06b33054abe2688114c9951616942dca81b883fc7bc626d1e8e4bb48fad5687c3c4e6211046f947ef8ed44b76d75a04
+B = abfbf22956ffecd9c657bbab651401d0510846500e9e97b77c52caf200ea2580e6d55c3152ec244a765570d32668ffd98dcdfb41dad54865307ba45bdffdcd5db4ec65ee2ca9a30e51cc138ac9557284622b926f87aaf2125fcf03acdbbe12261d33ef9ad92f5e92b0a098591227dfb99e35ae95850ae7ce071a0e727a787c3f
+GCD = 1
+
+A = -993cd61f974a15571945ef82a549dd58c02e10348b158742406aa9322cbc961c914c2aa3cfd1cbb204c185159110500fd43d4ed8b3889940ef70e6d0ecadba1ea0386a4b192e907c0f9f6087ce3ad179ab30fb16b7cdbfeba1b382f7417415be95560c001c18aa2a9757ec07685cea0261c635496ee83288b460f6fa8ba813d
+B = -85e3f76a6ac92e52f08eb6360ef0a39be703fae04658149d05d60a8ece15b399a499d9bfd4b038f4d45bad84480b73be496d571c9ea0febfdfc82afe9ab1fc05a90eaed9fad57c9892e89b489dec6efffded496e9460ee8d93b852c2e6bbcf680affb78035ffe243f912b8dc194cd14aacf25263eaacbc36d64d9dd8c5f3bc14
+GCD = 1
+
+A = -b03254fae82386a8bcbad647de09f2de0c95a12bfbe93e3004a3587dc0a83f51f9e93d2b88528e1338df06b5360fc7c78bf1c834e7411ab56f35d429afc7ce8f973dcd5fef80790ec75693c2d387e350b06571744df16b2f66c0e4303ead719a1ad2cdd212348fb3f63e3aa77a5a0cedf31248f04220a471a7f7d2a965cad144
+B = ca67e06d79442a36b7d7f7efd3cead566162d78194aa44ecc55917ec32d391c8cfc771d9c9bd4ab9527d38cfbbd630917d8ab20902297cd08ca68735738a1c731e924eb17234ae509c86fb27fedbed700b871cfd33cbe2d1d785d7aab7c623ab20e1c76d25baae3666b37952c78959ba9ac68e814651d432b9baa6db52cf51c4
+GCD = 4
+
+A = -a4748b9be73d26de6329b56d377f5bed53240259cd1aafe5c0a9d671ea4752ae38e21029b2601f0709ff044c4b6b9e3889f934b3a8fb5c102833c0971dc142a9609dd3486ea56e4e1890a1067a8113985fd7512e8bc0c91251fe6b8cb50cd23d2a11d34761bcfdfa593d72406150fe62a29bb51bc32d91c94228565f8943d2d1
+B = ddb9785185ea24fd27bfa25dfc9c07452ebdf4d34523ee15fc3cdd8e7551f4a0f50d6dd671fb75c0ab96e4dc721082dc15fe9ed706c57393d6f23b53cf02d44f12201c3c2d8c3a7df033e7775d2da2a27390889f4521fcac964b510eb7b442f311144d18920fa0e9f6ff606fe2585ff5534a2d49f833dc7e09fbd99a24a6760
+GCD = 1
+
+A = ea4519a8212482c2676d24336b4210f66d81b3be2b4bfb3f7ff7d0fd84c84a38e03748d6e3c41fe9c913490b101ca04be999d6841c2c191b3c47edb1a26dd848831e1fd69ed688cffec45571595ef28b7bf7ba521b6a2a3f4b31fc87d4cabe399b817bf22a8658514344d7ce01f434b43bb069ddac3e31612e7209da3e32c5ac
+B = -12624f162e4fc5f59db697911e98690559cc5d75a52904f5ee2577639043387f3c67445ef56465311cf2599d86f77444d289db7ea57cb253391570bfa80e53633cacd4474d6185018abb8cd0c17572484b8c632fb6c27a5731cb4e7238d830f55a812491faa97b637257eb9967dcd70ed7c9a32d6261c916a3510655bd79e169
+GCD = 1
+
+A = e3a593598d81487852037b3ea30bb6755884ec6d7ae7cdd43215bf640b6179a27c85cefb9e9554cd9cd6ee17d559e2f788e4b32fefd117072ac749ddf28bb05ae8b05b606361a21b923dfc8382de9520d7079a55b5bf7bef939d937174082520a3b5a5bc562fbcdd2aca5a31dc9582c8e18d68dadba711e043edccb5fe04f3cd
+B = -729b8646b0052bde7cfcf36d5dd67130988db680b4bd1c4a3f2fd90b370a5f70fe7ce220be8cff784e9fd7d263f090aa71fb7a013b1151aaa3fb220e2e1ff6a51b3481a5954c636fa2f50fabf13d5e899662f695b996715c2e7d0be1f4d3a1759688e16dbf4b02b0c319c639b2eb8f4e3ef20531bc3ea59479bb4773ba30bb92
+GCD = 1
+
+A = -29801fe4acc5548e0cae403299735510d5e50f781f7f0461ab843b1bec6db9c1efee3bbc404fbe752bc604298557c2176935b33331cf19af464a80d65824bb59750935e5a92b763ab3394d14e9730849b4d80f4d4c56c6c8f35966f99c3d569f5d4e80ff79b1c19e6b82082e3d591fa1f15a99e40df28f4b74e85ad2358a88e4
+B = bd83d1d1ba6d7fa16279e6b5664d56c5bcaa35b639c53f62818665b48bcb83abb26092881fb919ac6f45e0b1945cbb9f5794ccef9dc42368adc414554313c71d6c36e4cb4f2ddbb3891aeebc34137e8e86496ea291b7fd0886b61e3e3c2612046e0f13273a37c3fd9a6f43ce639761fcce6b827d969e34b3a842cf410903b27e
+GCD = 2
+
+A = 96f3100a31e2d55b588ddd4a8585babbed9cc64db576b879814354f9fd60b67847cf33684ab53973f6337f89cc324e9787ae49243487cc3bbb5572541f6cf056e02bf1d7d368720455bf614524511aec744f4007e9440acfbc117840194177c5e14950c617f8a9cc3e29ed169c75c6ae3ce57d26cb5a66cb3f0a4ca0686c6d17
+B = -82d1c719dfe6a3f707098cba96416992652580647cb0f13a07d76cd8a6774335399fb2c118ee80cc8eb1746c111843b880b7cd04bc82a36f42bb52d9f93bccd27c83a9822eab6db16e0a8c381c7dcfecf2ef8be73b135304d2c7b20ef40e0c463789e81b4cc8a7e9048b96e694d878403d6b819d6e887e5633b6b60b7494fb34
+GCD = 1
+
+A = 198bb55ae906943b5d2cb9ce80eb78a98318d2f5490c7ecb71d905b477cdb28faba8c855d4f4f2726d10cf34ca7f67e196b8c69b48fef0b53b209e7d0a54cb74e7a9c860659be2fabbd2c043cd9d188e841abd4f9e342650e18fc284e6ea77cd994145b0b69e5fa2a0306937d7d3845b1300563f173f265f1f62100e6f107854
+B = -ec5710f22360c2a7272fcb5ba622f8255eb6c28cea75a7d70d70ca7b18e4f75c08a476aa8462a738d64ca89e48a7258ca6b6a8567a5b040ce3b194ba3018c855ce8bd30ddaa4012e40eca71eb3e37e92617201ec4b1d3c006a638c43c5bc50226ba367733561a50a418024534ee32aa49eea5ae6887d1663b9e81b8b516f1628
+GCD = 4
+
+A = a52e8e57aaad729701cabf25e471016491ed51af3e2463685a581f0af296926ef65677eda1db9e744c8e5f6852c8a42ff75c9d0ba142b0e4443d9030047321034f861d3f34297902bb8400ec10887842d7a59f9f8030d26feb840e128f724136139eecff7f5a549b25e1693f1b1dc4ce50791c62bc064abd422d4e3ef23ce313
+B = ed05bd5ad870b997169059c301bfd5db8e24ae56489671b12bf0355fd25c3d0cf85888a96680dec5a048c1728b1c0efe1812e3644d76ddcdab04d0b82175a436dcf15229fc4f6590d3ce64c38a8d8f0934ad42b0c854da58501ff72c6930de78dc4f04544f9547cb837d08c53c60b0a10190439e74020c05889ed166cdb4c9b7
+GCD = 1
+
+A = b37efa02adc9c60695cf63363717d5c9c3dee6a133a90bf037e9f9f390bd129b3a779d88c2720789b92651524766477fe442e6147c2b72d84d74dc6ef03c204cc700e4a955042cd25e174dbd1cdd08384c30c44dee77f5716ac5da92b5476b5eb1123eaf944863594171098cb78cad9f87593eff2359c1996d81a375ba94f8c1
+B = -cfd3100e357d86156cc763942399bb92fe7ae939a272c7fb1518507581e249da35affc2ad60ba12b2e4ee3d3a71c6aebb1f2ef6001c28f9d0abba7978198f0376bea0f84ec074021e1705251221ec3010fde8a11cd217cb047d9f2d9d781993a7dd2273a32b4d8fd440a0e7145d4d1eba6d1a1268431b9d7ee888698110282bf
+GCD = 1
+
+A = 21236de4a82e95775e0a1d89bae60aa509b8d3237e43c2fda8b21c527bf1f3cecf400601241c39ba28c48662e8da0e26c7509e7224c7499bc880c63bd9dd5c37e4277660cb480c98c6bdb4ab9d5c2aa68ee6e178824f25b555c0fb3df8bf5fa51e3f5ff7c71418d3863c5cc5000ab4ab390d20ac0e0b5124bd802125d5011081
+B = -5d14a86a082daba957cdc8fb467da35c8485790bb1d3860516daea8b0d3b21faff88e38f0e07c3a9f9cfea72ab403d87b3b9492b4d1ab6bef55c4942f9d5cd6d094f082ba6b127ebc7dd8260203129cee7a50fcb43848a9d43ca9c830bb49c1b07155db8177234b2e1bae5413fd35027207ca74c3ba70446f72ab998341468e0
+GCD = 1
+
+A = 72f0e901eb0c525cd292c6715a0375902add862612e9fb274e93fa28793a35536d4ecf6c1491e3a938560775a4a85fd03f2a6d1193482c0c26db067def7c24fa4dc732e6f88191ae9786409f6b47e1891979c6057245bdf4b7bb564762cb155d144f8f9adfa9711d61853c3e6f5e99a001917284ae6311a04610be7a09a36eed
+B = be109a52f49bb471dde043923a45d94ebf2d9c3f378af8efc48d7b8b13d48b20b1fcd34651ff0f47f4eddf66412ea4326b1925825badf57904389a2b0416eeb6c471ce76686dafe04b38113486a3b301a20abfb959a42375b3514f619825ee9b8c0d0958f38d6b291a149319175b84a622917463eda11da1dd575e8e8f2c7d60
+GCD = 1
+
+A = 801a28b718e67bc608a06c153081eaca69dfe6a519bb83853e6c1375ad739ca6d21a7b711c8e32c78e8dd1c404abdb9d950c6f1ed8d88a4d365ecc361af194242330340e77e4ad8d551ab6c7cad7b2729496513b2415e75c33074b8af33770afa10e668fb7ff464eb588e1c08c9df3e8c9335540b967695d6ee1e77c8cc063cd
+B = -c640200cf20216baf64ea4fe7e483493528e691b3fd47a0dd17de0c023493f6b2f027825e8a069a1fc8b7c938a901d1c3303b910ab6c99a70d4116d055c404844eaca03888d73456ccc116932819a4a7eb89084c4bc098e1a4f7615c859df8f8a669e8445f37100b934792d2371b206d34308b7682b63f32cfc16ce1581a83be
+GCD = 3
+
+A = 75d7695e510de5a18da7a4c7dde88471ee2359aa8c9e91d36ea96e53ce1efb159f387e6274c7af95301eed366d68d09cab8721fdbdc8df19e1ab98f7718dd333a04c48ca78b95fdce657bafed5571391dd9256cc7010e885538390ac1c5572eec5a97ea6f4a628601426ed8b27339eaa4e8fb0d86019405964d03fc0e90f4aff
+B = 4ee18dd3b97063c0886948f0ecefe74f2a6791201be4d6ad003333c248567a37af91667f00b8b7e0d81f3a0827d17501db46e7d8805d8055caf17075c8d845d25249de8189edfb9f3a069ebd256e279479b2ed872007b54a4d61d4eb9bf256f767a742c65dcc923c776ebd8925d3e3e4b27b51ea3d3e8fcd1a49318d0dff898c
+GCD = 1
+
+A = -83faa4548144d45b5b288c4582a0b13dc59625aa3fc345af6a4a651fe9cd85d2e91f8ae69b8bbe59b60bb3487a52ff80e8c5c81531e9f308db158a407bbac0dcc5d777894881f91a165e831151880c46eeb7abed2af51b715495e0359775950821597c3e4f352d2968c9c392b02ee88c90f091e387000e1ab915d11a456b2aca
+B = -41637b1bebda55c5c440ba24aa9661938211ba049ad644e5cbb46c12e0aadcb2ffab2c285fba5f560350de24c168d586a455012b1894e960f96c3cc914403bbd611aef7643c8d3d2dbdffe3350b77d600b1dca3895e95120076346ca1449e8b456645e1b32cb2685f96e3a35d8719e43083fd781752ad4bb0300c24557e05941
+GCD = 1
+
+A = db477e9b49bc979a2a70e5ae2f90332d0133bce815d096f3f36e84d81829707ce53c1cbbb3cfb74952341dc96ffb26fc678d32daf5ea994ba9f67bad237d4f32708d1257093ec447c75bf4082ed1c6038803721f54a9e4232a52921a0173595bc9d5acd086385d2d6ddcbb99f27bd16b61adbf3f6bb19de5ecb7031632a65edf
+B = -e940bf7c06c93a5003e31741e59ec68d5b62ba3f59c4e5b84b154d421efc18314836413d9de25ccba4e19252038e0fd00aabd7219f8a808ef4db48c5ebb7805e7467056f39c661d057c168a78525796c833d865425151851f3c349cb0c269c9d9cc2f4a61316b92cfd355becf21a3649e36d09f3190ecbe64564a8c61b04fd02
+GCD = 1
+
+A = ecad43f54394487a8a3cd2b2d653402ecb9160f5c6a64fea3187b895657bcfc67032918c8127f827e464eb23438acee2914f5bf7a91eae71d585ed1a2f6446c113eeb0750cf2283839d6caee0c4e5f21984b3ee092a2b1a3bcd17bd3f48fea94387158041ec46ef8fdeb6b8b77c64e46649c7c13dab159ce04889d009704fc69
+B = 9792f7115c06b3effa9c09ad94bec498daff59a907ad050e4e6b0818cd54d1e7273aad7ec1a06cb902d74299c1b9155d36dcad749caab0239e1dce376469db95037fa171ea3edf088ebdd04fc4471cc460fbc102e269c16a78242030d72d2a07452fb064db088374de708dd5bf21a9f4ccffeb7d8fed526d5f84c4d94c7284d8
+GCD = 1
+
+A = 8b398783e2a3b0a49f721682c15c9f7442be5cc75e2145d05e38d7a460e562d21a6ffb794a035ea055bc5b1e1b77ed09e505509164b36e36eeb6123abc9dd9a7fe2b91edb0d1e1000519dd80c6d1659fb627d9cdfcdd0cb31bde85106141babe8bd068c7102a42706d7df5fe0f03ce97b5b2c9c84017646e501a51e067655a1b
+B = -d72540b308701c303074094979c08c543b9a8ebb16a56004e696280cbe4df4b69c74963bd9c6fd7bffdb12bb9fa2ae756d198d35cb8ebacce6ac50f8d77ea295d8487d73a5e1edeb26566268bdeb5b698f8572df828790617449f64f7b959357c012b570763bee27872498e9cfbfe2c26084a76afa7066df951ff5cd22c32451
+GCD = 1
+
+A = aee9ec9d5348d5a3b6d50df1577aba8623718fb94b024b0723a860dc56438957b15b35f384db7dd06faff838b72e242528e2aead34559d0168449d123246fed18ff0fc7cdee43537923e5dcb7fc85c1c691f1f56216728a3e91554e40d333ad928abdd320eaafd118a77c6e8291b014870ec9e87499ab1878150a9f4619e8c84
+B = -f9cffe32a4d157ffca4897ee22f2eb9138672056eb1647955d3717cb95be322969484ed8a1b24a2bb3dd399209b28b52aa6bcfea77694fd359a929bbf61f383caa114cdc91b5abad97395cc2d4b2fce5a54562190151b1dfed7bc5e7aaacb41d8286da97dc586749db11ed044cbc9c3f075c6e919ecdaafce390882fae8cbe6a
+GCD = 2
+
+A = e5c203885753bf9449a409617ce544748fdcb757eb5552842715a7026d33b9e7907f5f4f8c19383bd5891d914b4ade451f70914a1dde09ee2167b1feb574f21760197fa3cb78169231e8b5a0e0ad264d4bc0216286c8bbb20dc84c0a55eda92376e941dcd29e7a06efa3f100f94ed33f35b87017b4e8f30b1378c71ff2e62b61
+B = -fb4a169aacf5aeac7549e124ed024d010cbb8c46e3e3ed002b32bd31ccf3ad826fbb2712a2139acf35fd61fecd2125290b0ccfb394e750a393fc31bee32bac7429950686923677724190f85c1a776de7791c3ae6fda17871e8ce3cb97c37a3965cdb9c67288dcdebd8a7e492d0670774a996c76e7138f3d36c431ab3d3e60a33
+GCD = 3
+
+A = -9a8e71dc74d5e4a549834af4070397ef98beb1ad463d1ba204210afb048b59c885fdf4837701316746d25cfd53ee15a2be3815982d5d373901390c17f9097886c4c404bcd39702f37246175abb6dc17ce2899c0d85e0e85743d4e6b7889a4805eb80f535a695c37361371037ce88e320ca06e1fd9a204399fe70631584eab0d
+B = -1d88dc050c4233b79cb0f911b3cb6b6824c565fb72ae41dfd6c16f1b57d69b95ed4ad38495f2709030ef061ee82d80364952ac72f31d2e0636d034d4bb6c62a6dbf7a5411331fa7ec3a775f24db2bd49f4ca46413a07bd7892ccd934f3ff1c56f6cea7c5d02e97317cc762e802758faab18bd4a3e57da558e35189780bcdb26e
+GCD = 1
+
+A = 4a2f86a19bbcb564045c7d837378c2f832c7b7f986e7aee15bcab9b5cfe434582220f1caef86ca0f8a5e89b5c1f2ac815da0dee7d33b437d04bf0bb90580e843451e2bef03018d58f58bf54d43835d61433469d75e0afbd68f04b4264229d343af329ecbc1eb9350c250dfdaeb43f85e71c95109834204499d02dac584ac628c
+B = -50e606301fe9a9b04d8a753ec7d52b83e8c4987fae8a11b832edbd5ffbc7a6347a1fdd750d7a89d6232e33714936a49ac3b2dab1c117c62c0e3b3fb2ff6b8b2132d02b14bc6455c3ba223184891ad32748a480d40633694829fd4d7bff81057ee043db86f6c1553d50e54654f38ffd9d6fe31cdb51f9bedae30cca6aadec5b41
+GCD = 1
+
+A = 5ea350766125f5f270534bdb2c75714c568958f9bfd2827b2f89b9fdf04b79d1185b45b2fc8e43b0c6d80a1a9d431d1013a91179da7002a4b6d226776b2ce23676cce751b9e9b0aba865a9e7bd39fa5fc947b719320377d1c80e0e32a1a65e3da72bea5a3567238f0d1806cccb1d8547f1aade9aa8f7456434a57a5c494a3253
+B = 46e84baf9e32d8605fd7f08697e98dd7e60ac6fa033964d86f6179d0e61514b44218c9e4717554260ef2e1debdc811f4bfebc495ccbdd24d3c2202b517a386b9405a5e7a083f6ea6cb138b6fde94a16563df358b7c331fa34fb7afe9303eb20034d8ed3629a09636132c8be73a16840578c2ff3c2d7a9577c6364ed28e9c26ea
+GCD = 1
+
+A = a85c7b2bf60a96256fd28a6b581c2f8f4b4c1c5b3ad704413cfd1c29df88932853ca91897a06107519b37bf7e24db2402602abafe09a339e6d8156059e29eccc49f6a7260007c5b57d3e7f3dd1234564f566eb153f4017b3965436d1da369babcf235e15e4153c91ca50dbe884bd5df53a06aadf9ec368b63c1afba90c6b4041
+B = -cae1434ea2c0f91e740b8783898dadc1f708fd9793d09cb3712538a105a9cfb5bfd28ef029d46c4c6aa414b76358359990e42f27b7baeadfbc3d1bd96827b4f37b574e2add0d89cd2d2435f59202e1a62f9824d33bd2008bbeee091ab6db5fdce31df9b3a343c53ccca991eb779b7266edc0d7afcbe21fe6e326ca429f0a9093
+GCD = 1
+
+A = -693d485b24874479422a67968a05fb83687ec6a02264c3d62cfeb5880fbfd548a8c8d0fab6dfac3d86c68ca482fb9de3d490384150f0d0c2bc89729294dea923b99493b6823f07368b7436fe0f1a1f6ff96f6430d3ce90d72c7a09758a5c67a754627edb008457a40930ca518d3eec883e0f653097012fbee803f4a8662eaaac
+B = 37250a368f1f19afca3b77a2e5e2b18c46fbd2a7c1a588b0c05044aabcd66e990d97624c41037cbd7ad94f1991465b42d208eb235d026bd4fc5510dc178000db7722437ade87d045290d2788dc856a9552efbd7abeb75baa1bccef5ac6f0a87f7e99c23e66916f39bccfd308fdb50e337124d3670e79a80a5e1404c643ad2df
+GCD = 1
+
+A = 86a573b4f14f768a3c20c25fc7eb01ba2a8f134a9f8e6a805609f2a554861db96d838b5c6b6dc504ee7d54e0b83884eab5d091ce9909c0ef87dc58e0534bfc2ea2fe705633f5897ab7bd601fe3d30c32ae9ba911624b392de3d32c58a1223aa5f8b63d1557e502ff1b49923bbd8bfaf4d0d0317dee7d864f05f8767a54fc12e
+B = 51e1571a1bc85c3142342f22af92e5d5bf0f3ebed3ffe327fcb8932219da132c0a43a0fe1e4087bcd57abfd151d071105b714ab148019978d7abb5e31b3210c40d1278e78376fbe31f889d9337e28cdd8213ead71cc5370bffc8c87af20bdc7a223d8cd2348057eb7a3ccec0849098f16598a61d91ce4288fd9439b7bcf9b254
+GCD = 6
+
+A = -14971d9f02697a0fc2b1a29690cccf5019176250c7bc1fc0d87f774d0ed9bfc0f26ba9ace3aa35999dced85797317fccd9fb4696318e7e102604ae9b739783d889d737e39d5259d319c7199e992ab32f0c59b589e934cd7656f94a14d1dad9645a1043ee331d8025029655bbbcbba076e693794dc029bc1442e66ef514b1322d
+B = -8707c577d7fedaf849c12b11b06e0b88f96f85b36b3913377a5fcd070d1ee6b2ccd384ec86915a27ba802fdf56a0c3eb7602682de9635cbba3eef78b36ae6f6ceb1fce725ea2de8ff7f8f8b17318476e3d58617832f9b32fb70bde3bbdcc121de817daa4c8edec0569c75fa0b5129c09b7dc17de24fc1f53f8dbd18750c13e75
+GCD = 1
+
+A = 34c031d312e3b7a0d29e2dc92441221e126dcdb9327b302f6f3ea04e9a3220a9fdb3d0f99ef460976bb5e7f76ce79cf823bbfcaf21659dbe0cd7b0fdd4d0be26491e0ac90830d8e5386be073b2d7a7405ef61edc0eee87da33ea5818fb875ecc63b6a611a07ccabd79e06b19e7a5498bb4ff6e02fb1d522f3ce608bd98e557b
+B = 7e6dfb0c4369314b4f74c2a8de20efcfe3076961b6de0ec0151edfe9c3ff56b25689768798ea745f2f5d02d3d3ce0ba995c6e641d0cd3c0f249fc90db4fba2182160d4e53dd3718534da3d4b33f96ba4ed3c3c318c678fd14d9f57b912e36d520389083b285d62254ff55a0e378bc9ad7598ec370dae040c01efdef2c46437f4
+GCD = 1
+
+A = -bf225604f96c61c230809bb145212311be18072cb03dac10aceb6f39d43567a894861d78b318d3590390f888c9f041bd48d3040d751d45903e9fdcc2755a4fbe07bd9e48603ee6048f6481542ea857b74c93ed6af56e939c5d20f6d6df80d9f3f194a8532e9e109f7a940ca98b9f37612966491e96c221bb43002246194e4070
+B = 7bd29fc8d3c22f7ae8675ddf42a2b1bc35172cc81e8dbbbbd390b24fe65e8259a4c3b0c738368395bc19821a7c79ebb560a5150a8ddab8717ff1f6d964b0542ce2d19dd2c00d5e81f4fcbc95f61a1a9a6b1d8cf06b4e1b287ebf5319a775e4bf8462da0376cf634573cad7f0efa4f8694614aeac8cef5b0166cca75ce7d76b5d
+GCD = 1
+
+A = 92f350832dad95c3c7711dd212bf1bfb0486c6747ac659f754291c0839e7d26d31041c592f6f505b1d8a46469aa48c1b03eb223669211b58b226900915be39e001cf032ede5684093e965a90a34dd23a85ed05e5392d3e106090b7259de9105e1f076fd927bdd9ac6b8e385ccd57e7182f41e4ec0f79e32234511172d4b300fe
+B = b8a602cfe062667fe5b51b6fd8b9f4a658f19f25d3d5f64b87be86bd1c6ed5b2b74dd92dceb9736348395676eb3cf1df0cf7e4e29b50a5d3d09cf424ab88d79a43adeafbfc845319f8e3297a90ef480139597c688f7a276ff4aa3afb57b0339ff57a27e597fe8ae7f6cc2570d7fca4e20a1a2272a8fb15ea097050c9d9842dd3
+GCD = 5
+
+A = 5f230a43ec4b8da17aa115a3e271faedfaf0d79632a8fc6f67a9323711be7f50186fe6c5c0f8d87ad4669a13c54d4756bc5f95d2152e263131c9240708f37a58af890dffcf4010ee09cdfdb0498489a15e80bb50647949751c7c1de1da78e0d59e7202661c64fd075d7e2d720636cd77360c7db00b9fb2fd4a1ed1a46212b7f9
+B = 52d63ac9ba7981032059ef2fa4b3e877ccb00d18abbf057a6c8b4b018fe74acf6bf21e9b5272300e13ee8240c326d358b07a98524b764c1dd8b0016eb6274283337f9e98f66dde6ca0e708d9ddacfbb7a71da2a57da0785945c9560467b4d43f00c36e1519fd990245bcf6c941c4a594798d981552c501c07a1aad47d772e2db
+GCD = 1
+
+A = 5ba80444d4c01405a7735fbf1d2c24f0cd9711098086edf21affe08bbc24d852e38d701ff99bfa2851cafbc12f797082749fa648bad505a0a252cafc073c79962290795566b09af21a79189f9592a319f41da1d51238a3e3cc189153b1d787c77b43ac33136357984add3b1d80ef532e355cdc7209659ecb0b06dff5eb86e364
+B = 767fd7b87418e986b41fd90005017baada3706400dcfbb8ca98a441ae912c083871fb6df4acd7f366c7f6ed2ec0acb893d3e1f10b05075e710d3fad5776bc5eaf9bea5ed081c8443ff4cd94c500e1b1cb7cc08d0330b1230388f09bfaa0f932099e9415531b1dfaa1ecec78a3c12cbb348457e8b35f7a87d299e716869a8c11c
+GCD = 4
+
+A = -65c31f8fe18d57923f4aef6d8b70b9494c9a6449a5367572f85023682260e027aff2a2f70c3bd476874c2a40d7a7d70fb94a6f44c42a4985b35decfb430f012795713a7d652c4d56defc04892bd07d06bf4a02734a6789c9773f18105328d43c3cd78600697547d406be89c3a9506ca93299bf036aa144fad0e7c42925e019a5
+B = -b7c5412a323b279e8a2ac399dc5ff3ff11fc538dabc2deb8078b6272dc85027911852e14438d00a3fbec5543e31d16a24edb724cc73a5fae23c473ea21848733afda433affed5c899f4e7a3651c03940c14fd95cd3dd4d7bb64526ee8b78a92f0548d0b1ee2c1961208ef55de4be67d09c1dc5c76a9911a70c675db974a7b5ba
+GCD = 1
+
+A = b6c7d05d7c95135204634b7fd903b4de3aaf9a05efb3d271804b7f22f4ad07606c2576d0c5c7384b33d976e29783fd8fa87adf51ee9a0b93565f4a0600bb9390d2544dabb3ca8b228cb67abb2368b27bce4d25161a6c9c7dcb59a029b14e094fef1f7cee8582298434dbe6319ceaeeb2f5926febffc998f34e43e6378698f845
+B = d4ad3a0f85f56b26b26e1f7db8a89fab3f019e9664216c8deb9681dc5b189c73b0661df2bd19560055b88cc2a69e5154f947765017254c4048181aa4fd0cfa74241b75838ea3c90596331ee2fd9ac61b30f3f09e1927db5b62345010576af996aea0f598d39917ed02dd6d2d05b941b53f179f598fc9589114ed2aabd9622abb
+GCD = 1
+
+A = 51812a5c838f7c6f4411d4b684727c2474293bf59caa1ca9cfddd5702f71e90583ea256f06a6008c320b41913846781e9b57ed6e9f5d5b70291b3c73905436a3a298b68fe121673071b40709a37783e1c0cf73d0022ccef9135b04d7fc3d9cc896a35210400dc92fc1c7a8e027c4cc035d362f5164ac26ebe0449dd1f400e787
+B = -91737ba876bf8400cdbe7e2c7d154f3b7d5345774aa8b6aa91b00155ba8c058077a25699c3218545b12f345d6724ea3d05c03bc991f3e03df863a99339c6a172497572fda47272fce472ca8b324cf2254fbb249c5913e3eafb10bb567e117383ebc9371bcd4e4323531ff66272d5edc6acd7d38456663f14623f577698df6a38
+GCD = 1
+
+A = b4456585f607e3b73b373099cf1ec781c1dbac06ca40d4cfe08ef102d6f942e7c366016b97b23596dabc11bc636af4ed20ac7988ef48b134ec5bcacc4009214858645869261a5be606e114bec229fb66b972fd68ec5a00ccaa588ccd39b6998af946189ca92bde80ddb2684a7e6303c02e19ab10fa5d7b9f9f141cefc12e7cdc
+B = -9871ea620b9ce7df7743c468fc76993ffb86e91add7e127d59eb55d7650b2c2e4fbb7106c7240dd5f063171c58bdcd76d238998f231835c7f1baa6c10617c0e7f7b695d2ca33e5ad5d73a466306ffc71b07e46813bf4ebfc336b9d934cbc35483a0e57c790be33ec5633e7732c8ff0232ca9a8523720eaab653419550e600809
+GCD = 1
+
+A = 665a6070fe3af81556cbb9ddc9e2d9a3c2957ea3471c778ec9b0da76614fc8f95313526c304e2b5cdae7cf040920ec10799f04851278810751202c407166dfd728b2aae11c6b15765fec0763da8d7e00f92a91bbd3c0ab26235766f40bdb4c748a664a7dd7b0e274e5a7db6d885c8cd4e2d5f473fad31747cb25f2bc9546fbce
+B = da58e2cf0180c0f44be6c165dd10bacff709932410250e6c9b159303bf6738f718e874824cb6cbc1b721567b2b66f63cb4735dd6643896b210e626217e53a130e1446f4b3ab368eaa233292a8e1ec67dc5706bdb77a6288cf68b309cd15fb71936e0eafd4bba427fe6c2372d9c66414e61e42841b8d18918c59955a45244538e
+GCD = 2
+
+A = ba153380652a5100bd67fe0ffebca423c2372d2acc511ef2b2fa6724baf108a08cdbcf5495b5a1a2c8932bdae6dac6587c6617ca1db43b1dfbe557cd341d51293cb73cf3ec8f8bf3ec4cfb84caafd29c169a4e8222bc1734c7f47868ddcb29627fa5d4f06c20b995a411c73b72891699d666c0e9cddda8228de1b8ead951a3f7
+B = -99c7bc61921a2dc8fb9cf3bca8b359f64c0f2403ac55e12f59693347b75f37fdfa5635909f60439ec05a72dd08372ff44be2fc9b9d67da359011eee2a8aa46cd953b350b736a6f5431510f96a992e717c8d43288c490af0f222ca8f98ee25bb5be58a7472c19cb018893d22aad041b628c536eedba84be36a965d1a16044706e
+GCD = 5
+
+A = -aee4a3cf9c778b8461146ff2ca1d6e828e5b2027e3a0bfcbc733106f0c6c8c3bf6e9784e5b799d7bb0578750ab304460d6efe7b64e0cc9c9acacbc6a799b40b738d7da1d93c0f018187a3b55522fcb9b00131cce30e332e20e1ecfa6fe54e45720cca00b41d71495f8cf42e9c2a83ee343d9c2c0bb89ef0f185921d40908c5e6
+B = -7e75c75d4f2eea9010dc6effb6f9f2f533cb3590c0c499e21659fe33c6aa6e796065592c5347ccb84eb58ffedfe80a444a381a7de4e077b9b66eb875e6e8e87fb9dc60192bda856c6daae0ee241eb399a1ac46c5d0b8b3bb04952ffdf3f95805080f407d732a8d51f7dcadcb57c456799d02de2232904f1d9661e2a6918e3e6b
+GCD = 1
+
+A = -b1f8d90061550438c0f0c45d0a892754877472a016d1e63948f934bc48d95a0f2dbdb9401b5fa4a9a4d9c0cbfbd87a72033b81ffc4589401eb49b7e84b6b87e2278a267ad809e8655ac90bf0300b03259d7211cbb2c9a8cc93f01c88a15d950573ce5604db103d8c047a3f4e3592cb859daffbbc845579cc66e71df6a537c713
+B = -eaaf6b7f8c144e671b1c4b9b41b672c77a44dbdacfc17ada74fe2b9c119776765a5919fd74dce0ca105784e00be181bfd70177ad893eccf7228f7cb9673bcf0efe23f72c204c4c2870847a9d0cf4c0f7bc19b43caf58946fc45d4454877ce456aab4258e5e899c352f871e8620a30eb150fdbb286e1c189c0289f49cde003ad6
+GCD = 1
+
+A = b3a6883c444a7c53b096414d08db71b228a11b5ce2b4e6caf4b36f36f0ee707b8a3aee2124c1608583c22d56c10fd01d144beb2773c055bbaf73c5f9c28dd1c46561d0358370ce7921be4dfa9ef64e84260595692502a6b9cc472c2535f8a4a8adc79de5c40b23fd0bedbd0f00a52665cccba215079dadb980ec171d13cac575
+B = -2348df8cc06997a5577098d17a2ff610b75f18476e1e4920ce46f500a275bd0c1853cc920eaf6362ea18c6beb632589032897bcadba0140f9379339e21d2a4d0c05e29e453e3c1b1a0857c638bc37596f4b299d30afdb821b74c66d3f6c28c7d3406ed25df52cf62d36146d8f85be1f7b59ea313d292f3871d7bd1af6be9ee58
+GCD = 1
+
+A = -6d10b44903090e41284205d3c2092351553adb11988ca5a9de89b1e582e5e368ea51ccbbb3bd92c9ef7d305ae1ade3033e9aac661f758354043592c9fc434334f3e26984e13f3e8afa39b3db8de20eaed2a1b85719363b497c453ebd2c35ab09244aa62eee6a417600e32dea74418ee55bb82fbbdbed647d641f942a85589d04
+B = -a0c68e483e6f9abccb8c2d2bab7fe95ff010ae6c1bf3d99daaaa7e25e540addf66fc9d43811452584103e6ff6f75af2560d0242d179fefabb9bd5d795000764f9e7d151b0fa4a8f7593a6c2439eae8cb09cc0c9cf0d6802c35a39501f21c7edd697ebd2d4d640857631a4bb6b08ff888865fcbf388a4d68c71aaf95420944a81
+GCD = 1
+
+A = -8581ca79838842f7b7be22c95f38772e520b4fed76e967d7c522ccd297ba8e26c05e3528c2595e8dac023dbe83a7dbcd08e49346acb8c261ff897fab72fa0c782e7598511ab9c220ac709fe4f05525ffa2db3f13c20daec20de7b49318b68a1bf1f0dc7a107f2abf7eea90a0d87f35f119437b13ce64949f2ed36693acf34d76
+B = -70250f2a5a5ec428fb5b25312187afa01348a3447395a13ecf4227a07265797a31088b086942df4a73d5f929020e8549cc7a597db2227d7f6cfa8a4df6efb7edc11f754336d86b04c074d43321ff56f82578f0d1787d4a16aeb5719a85e248a40b332708018639e3bbe8116f4a5e46fdc66207a28b6b5d8033fa1b92a09fdc77
+GCD = 3
+
+A = -c5f1f2c251d601b350066c4c8a0bcf797c0cf2aa5a6d5c943b3f2709e1da155925ea735009a95a0a97e897522a830ddfd183db2018159c12659cdcf08c988605e2c74e06d5b726099d09f83757f94d35d04f38c19b02842f571178a065c96eb00696c3914335886f6daadb9348e7933daa7a88315445ac632682a63bad183925
+B = -300adf27394df6575ad2b0986ff6f87f442ef30c8c451569687c0b0705d89ebdeb9c6cc8b6935874ced54f9055fd4b137e94ca8b2f09c42d17e5ff60683e5d27e61dc75fc9f4bf4b49dad7ca721fb2bef769f58a4ff8d79072e2ed1f410da0d384f5203493729ba8f8af17deb7ad99eaeda9594aaf805c1c6e0323b555484832
+GCD = 3
+
+A = 3e4c6ad83c4002619fa76d7912b6423f9808d24c6ec9cb5fb262db790b6dd9b79ef87a9ab2a349a0416210ff951548415761fd181a0c95fd903edf400edfa34d5832b2a33e4769e59bf9d67976175489ff547179ffc4be5206e7544954f6a83df03decfb37a36e2e352af1ca4607a9815489332c2dc035e0c2fe3978777797cf
+B = 1fc32d6d0134e17fc482320c1b82fdeed06a0d4b8fc97352f47f456f6c7907793ac9cbd71e648d0e8a952e98a41eab71b3a8867151e0bdfd25685ca001b4d3bc9f1d0af481d43fdcfd0f8b4257ce7bb7eca20cddf59fae7884fd901f563a68a2777a9cfe78155844c927807e62df60e401a8652a617686d593f62d24ea7e2348
+GCD = 1
+
+A = -92eb4b85ecfb5e2a77871124a75f48812b9a26caa08975e4459dbadc383c445270335154270fac96b6137dbd09716b0c304c5b2abe16f744951e991d04b123117c05321522f602646f098f4e6d3cf9872cfbd1402859414d208af5a576f8278019b2d521b283e7c984048fd851ae34e62f8cb6037675120478d35e1bcbd6853a
+B = 52b5242829c14ab42bf8b8e1bbd855d55d41524832bf3937c91773885d853fc4b9f8823e411b481875d5766894e87e186caf17577eeeb89beb9e77a6ead91e383e1f350d278c80e77a880e232ba5d803f192bd9505ba99dae7f659cf5757dc81bc2d5e682c51f6e77426c3b7dcff0f02e03ccc2a15807a781a1342cb4efd6c56
+GCD = 2
+
+A = 7203c851fbbbed75db6773e2f69844a15f501c53522559c6260c4b3f6e2d0ca205d275f9bd976600b19c2dcecf06599ba3885a5f24589b00429a80ca3da4cee54326f23101a3e2eeb62956a3009251123ec2a6fdab76d59d7b58dac7d90bee767eab9a19d0bbe1229ca8c5980da04709293b26fcb06a0b3c26ef1c318a2e1f10
+B = -a3871296b72041485eb2967a3ee023c4430ee4e999d7365a804ee12e936bdb29a5a9595fe83b87cc9d30492462758c065b329d0bcd56708295baf12f2556f6bc6a5e57f1347131113f52d82936fe422ecaf318f9c4ed5e8c17dc55aed006810807ad3d4006dc0d5958aaeae0ce6a7062ee28f72623cd12d5b7f505249c6a7644
+GCD = 4
+
+A = -5d15906368a2f08ead6d7ed2c4f6d191dc2c02dcac4f313e601c606d5e7aa3df20dcf3914ba12b6f9f19f8237dd5f9a34dbd0931dcbbd08a87eda2c18f97bb2c9ed7662c62185710c009585b94a603434707ac135e8e85500da0d61979022a9d5f38a38ea9b13a6be9c299cba090953a7260640716d75494a988819ca71ff9b5
+B = d902c554832452469dace6f1715120a439f5d100c0500c9fe3b3f13c431efc5883f60e08ab1b0536f979eaa25fa19536be14c61fd36d45d74aae61f9fcb71fab5ee72c2bd1cf21958733ef57fe7eac6d6eaf2fab19894dc957292207e1a7c82019dcf97091423ff02f097eeabb7da63718f8df88a03c8b2b6d419434cf87243d
+GCD = 1
+
+A = -6961aded1779f616b02dac22e40adf870e263934006423ad5145fd0e6151cb55d60b84a0fe45c2f1cde563f0c048fcf01e45b596abf62242c4f2ba96a5b9dfbadd0a1322f7455abab6aaa32f148663acf446022bcaa8212ece70da31a65981555a16000eb5170467e9ceafe61181162cc22536512da836f5364c47df1c73257c
+B = 7845d10dc62a825a7025e58211fd99363fd508ded7df7b42aaf171d8422d685928673210ef91239ea0c93f7a120b6c4442daac151260fd1fe6bc53bdadfa05d6e04fd79996dc13f06a376b65d3766a051599d94c3f274564d4e239a3143814b250cf559e7e7de3229030941bfaaad55ccd9678e1d1bf919e05f75ac011139746
+GCD = 2
+
+A = cc5c02d7a747bb018f8dea32912bd2d4e7f6391336d83590630ee37f25fe1d87ef748c620c0b547ff705e44c0217879072157ca0521992fa0e6a787acae451d7ad61c019e2b179ef75ffe1032005fbcdef531173c68dc67bb1eeaba2f478e688559fd6e8356fd8fe3a1085ac2490a377986e1882cb2d2cf988cd8a82b4abd5ae
+B = 46fbd5801b4b0c7af7d6be7a3c559cee008b40100a21fc4e8a5c8352e10de67efb142579cd81dc5118c02739fe83f1f352c8a44d2d11b0f7bb74a128dc9d4a894f6500e3a017b372d71ca871652ab30ddb08aa56034b1c7198f8fa9d30d2530d33ee2d4eaff42d769c3f0b19e5dd428eab536b67c7dea4f649f3d43b3da78288
+GCD = 2
+
+A = 2a40d3727a3c1aa736dd976ce7b1fee07fe5bf1be3c9e9e306ce26653bae7db2b4be2497f715372769292af6ce6640e51dc2a34206d4600ae9dc27910a95cb9844f9fa2b356e6528f6ef76df5e99cd0e40bb45dca29f35f8f2289a63f440504ce55151bf25676ca3345b4f27ee680e43b271457a0217453c482d9a77459581e6
+B = ed7feb69ee618be3e273f25b03a6b109c0db8858d4a637811b9e3b626e567cad6ccef5123fb6502d5e83c3009c950e54228332fdce8c28c4cca6b5029effc948299efa8e8479cf8f7c2d30d07624fee7cd2eeeff102adfb98b37b2850c87b005020118b8ddbb1bc9e239dd51f7ba9330f6b8fc9630d298af8e2adf6738ab1f5f
+GCD = 1
+
+A = d64f98cb4716d4af14d68df3b1e2da6a7eb3ba79dddbb1fabe2fb24c1588e281366b9e90cdd8d7e9a945897b717cf92cc68414b3a955f2e8903c4b7122d26e82e076f23acfd2da0b58e6d00a925a510bb69dbf25ce894ea43e5c05983e31e9f428029036322327f82c3c41e8542e2e904f5c4d9a4180c7144b3468b62101814
+B = 32dc426b9914fa0756e86890118f221ab42f1fc031a6171ab52116f49de8c9b0c38c42685f12e4d61c1ef1e200f1de416db8a08ab2868fbe87bf8cd6a04aaf6a4bc91f2adaa9f82d503ddb38a429b58c83c751142386e018fb4179613d1d27a6a794c501ac5b61ce947a130f5400a7410b0d41f822559e0d114fee6813d91906
+GCD = 2
+
+A = 9369bad19bdd480212e01884222a63a171a3558e9f98dce2854f2355a26b052234be13c69a2417e925c418a0ad43b345f6f87a149b830dcc425bfba82b2e9a6d174b8a385fba73f5e584b5dd2c3555660e6afd99735110dc97d40c6bfeebe08c1772f587fb76dff0c711f12d95ffa93fdaf1b3a7db7841d8c444b1ed62e3f225
+B = -cdac35ddf16d4b46f811c5555be1ab672055e1a6f00df8b4886fabf1ce75d8aea23241248c6a3dc51357ba3377539ffeed520d5077e1b521c01c9c2495f937b29a6c482c59f94a95de47bbe7396086cbe1e3a98902546e1397836a89311541421cc5b85ed3ea89d876f40d4ac7699e4fc0a7015dc759c6c28bdddc6fba059dc6
+GCD = 1
+
+A = -2756a26dc7b9ecb12cc85a38b34ac41f5cf9f2d7d6c824178fd6d45f7b81123072669e2387e2e4402090a49772f124bc4ba3d3f0e204f4a388f3d6ac093e615ddf664fbcddfba4966c59cbdb6d906d9d981a303c7f65c78ff08aac4e04749375d39b65fd2d8267dc5751a789e3c70008b5df5b4f058cc01295ea214b6c582bf3
+B = -bd6c01cdec77975ca37b6080172e9e4c6395b37c7fa0047b9399316a6298d3e33123f92651f8c551512bd3a558d9781c57dced91b5e6c11f4260412f19efb36027b77c6dd028258b4b263709f7298d489147375119d561db6e9ef1c016a58b44c4aaf12d4af762aca4915af8aedd436f24c079e0274415a03d5e33c7d774cebc
+GCD = 1
+
+A = b80cc8f87f1bc1b69fadf81525fea5b3bccc081268315a34d78fb981e7b3bbbd4a0b4a2ce1ef3db4456293a0e137a5f0f9ae3be99d8b52b176cb02f99ad6594bc57744975986a8f80b7f0c3a677ec989f339ef91084e08a325b9a06bf5853db35f58d29a4dd2887ab6878f1408f6d7ace796281ef38bf903c6265b0777c0d9bd
+B = 2a1432d8bf1883530795fba19041d1d39406479428b21ccb77fb0efd003ad80ca4fa6a350cfd9eb74441bf00af7eb10ac478cdf42c86240694b927d17442289d9593dd863ef576ae27f74289849d4346f2282b39a984540d632403bde1e33defde15b07104ec3bd1a4d007cc8b6fd6d704c1b673a950589ff73cef702121eb5c
+GCD = 3
+
+A = -8113d81837c3674966857c786a2e3f814d83cd0e04a7d6f715d54855186907ff59b6b00c870c20cd68da2ac0b91be45c979e83764c5a27bddbdfa903336cffb969dfa11b6ef7ee2e8ac64f7748f2e9e51e5f33280934b25015db1b3ab951e963c32ca8f1478a7cbf74cc94903ff9a19ffc01a64b7455e4c90d2debaa2da67fa7
+B = c4f442ba13097a76657a027f26f4699ec1dcf38fdb97e48464252f617b60133d4fc93f916efbc0af49f209591379f478fe64d30b092a5b0f67897513ea014934e55d8bb9ecb781252f624ff18cc334efa9354bdc0492584c1aa93dda5f271965805803beea5c55417d46f434dee349fa229a420d7d96571cb3b86f97959a1aa4
+GCD = 1
+
+A = -6b671b78377121922223ccd40b7befeb5b9787081ab0a0e1e3d759a8d7022eb3d4968384db22adeee8375f6deeedbf8f3616458fd6741c2689ad92d5354249cbfcb2a6c2c397c78bd4283cb16cf63837b6c018c883903160e74d0f3700ec6fbad6a1deb3ef9edb3d1a5592081261579dcd3991c4fae6c20ae3606f441a6b5888
+B = 9e7b237d74ddbf157695cd632ab52b06bc23ae8474d973f18bb09377058aaba06de37bc2121d02d1c00c56b366dc5a1767ced4013a90c1ec1f56f93e1ca58bd7da4fb52a83f68c39efe8518558265fa94d90c2c7585b46b7210b750e4f4faf8009ee8f94f6e96e67e958a710f8272532059c115130eb7633617feee090986b91
+GCD = 1
+
+A = -21a743ce921b7a2e55ee8d4f26f6f6812aed3a76ad58394ae79cad21737e8585162fe93daad7c69bd1ea316c8dcea617f45f50947477e249b7c3172730921cb596c36a3ce790d1cf0adec21e54eb29a4c4d2e0a5dead6e2b573ef73d34fe1e3be1cabd892b9083e48bfc7d0db4230dc94e4180501ab00da11973c6d48805a349
+B = -b20bd0f1867813bfcb4858c7582eb32381a777fd3d1ceda4d96ae894deefd5cd81361cafa2d5f0f1f53b36df0beeca44feff9cc08f37dc78e2c62eb4a9fdd73e499f6e2b4cf7f46a749079f9eb724526046c74f7b936b3e3a584cb31b6d4adf7e7b48ed63c9a9bb525e3cd0be0b3f6e547048397df724faa8f3f6e78662f6a55
+GCD = 1
+
+A = eb1295c8474521287e78b6121f44e25fc59e015d3501979310065035ae42b898db12a8aaf9b4b7ad55eaa9874b98f557e74a6939d1cc1e754be4ca8513b2a411259016522adfa0cc1ae5149dc12ed6749092fbb464e1a3d6a0ca7bc288d37cfdca179ec19409016d8b3b25fd0fbb1a17e05d8d17785ca53ce6cdf047da22b0f2
+B = afc9494b1fa096724b5c66ecc605a13d2df49cac73ca1cca57e13b74b481cab90488c36f89dd7f89062236113ed66a82821b223fcedc7b8e2532b0d54b02f84aae7bc10b51df1b3acad87caae0d2d3f15978e6e5318e829b4066b66fa21580a9b2e1c6009f37fb648ebd399a8f3a1bf310331f8a71714d226ecfd43bff90bda3
+GCD = 31
+
+A = 1f5915f9f6c6665a2fe99d6981b1ed6895b97a2a5ae35fe9e0813e8904cfcf5ca80d0a5453457bb019c41af3f89ddca41ac9c90945745de0b5156d8c7c8a74c3b3d60fba6cda67529a733b89923c52c4eb249e2a8a3c8035d24b3ee1b4b34a5ef9a54d5557a61f3282d5ff4c858f7c82db57aeec8895895e0759b8cc4501bce7
+B = 97d1c439de6673591ac769b53d92cffd0e6f25c1b6033071cd9a7cd5e73540d1897008d9814d276502c68367797fc0227ad23863fb013bb791d411b69e84e47b57f4941069af08ef0127cd0ccd7eef32e571138207c4f4f885b8c73004ee3773f908d4a9cb514f045cdb1b19f2737b32c9c11cd786fc387ab8eee6db59f5accd
+GCD = 1
+
+A = -d0768522dfdb156d91a654206a0b8650e5e7e67917ae31dad09972f99a7702f8e069ec088ead679076ad8f71444b2a4260aa183dedb1d1cfa36c716dd55a44ff0c88a87af218591a7385a7da8162602f410d76060c10e0895cdc48fbde074b9a554d74c4cf80e1990b0fa6326e30bee460ad34ea707fc4a5bb4837d57919242f
+B = -8e4cb4a9b6e16c9bb86a7a75f70a1e4fb8e9107079610d2ae47e7a9aa685a502789cda0f4be89bd247bdca0aa132d662891cec443c69ecdcbb3fba09946f45f08f453480779fc98b024b6cbbb0bf2c3b0b14b928774610c0ef47b4a308c9b47edcc55b59a3cc0a519e43472e8377247e79795a8cd554b170fd81e774333a04fc
+GCD = 1
+
+A = -32e14aa48faa6b475c46b05f6d6c7479979c577ccd50861ee17a24cce662f99e8e2e5250f50dde5cb19a15c7dc53161fcc64feb68881f45f5a0d8253cad6688fb26f1417b309941c21e2e344aafbe727ce3288cfada655f186fd2866ae9f43ce835aa340aa943bd53fc34241287dc2046efc880767de5d6488ec2957542e66b
+B = -427f2a22ceb8f2237f7ce0b2084b9792dc94ade6e50793d3329bb47d92acc9e2fd614c40fbff3f01ab5696486470450f11aecd1bd0bb0132f611e636e95621ebcc1110ddc03e506c6b6b0ebd3c707a162651606b393877340a767357e0da6d2e49432eba3ec8f844d659c944c042d0b943132d7d63abe7ed5fe6d820be513cd9
+GCD = 1
+
+A = be060325b38818c4b936b38c85e6ed8e9da685524f590160d1b4c12467aec4d43ba1b5d01802fa84c99fc8500934794854a8adb3b3b905741075710b1cd2850e80043ebd4a4f8db732a94dfc946f519c8cf60df393ade40a351912cfd14aae2fb2c9587799aaf2c125049e6f52544cb8adc4dd8776f845d4928d8f20435dbca
+B = 71d7e2811660227968f27035dbf3c8462f7dcb5be64a124d4e87bb83b4420da9a931f7c65ba2031462396489d1e279f2e13859f32e5d98c55aef68380cac681cdc93c041a9e0b4f9c5c12f98a271dbe8a9bfe7ff8bd9138c67c04887a2ed8bc5bdf9746fa5af722e5036f70219336c74c9c023f5f8400d87b7caf02f33b3f680
+GCD = 2
+
+A = a52a4b4011b009accbd85bf9fe12626fe5da30103b8708ae06707675c7a5ef423c5916c53e346d12c622b039cbf043c0ed5a56a8641890b44ad814d7c38a0903994947ba574756b52301620438068b90a88f57b411108a20759347602f9371089025d5ece4cd0f24314f230d661cb32a6e2826bd332372a9a7a6c871512901c2
+B = -281b72cfc24a8c19d9978add4a2ccc09877f25353337eefb01f02e810291a47472aa84878d236e6f5d8d1327438f4126ea2c78de9988c9c43dc062f79512925bc58035ea9a44550b1149e2cd18d3670979c2f5a97a993baf87bfc97af96b1139341e129be53bd340452e0cf02f478ca99f82f99e8dc15b9be54867fb698a629e
+GCD = 6
+
+A = 43cfb41db09dc5e81be7236c6dc542735237345fda5988c2cafdf5df170c68c7f3e5601cfd5f3517f5d13cb5eb5b901289fd17148921a725561be723fabb36437c0ab90683fd7d4080f9bdab6e0613f8fb70d0f8044ed2b33e3cd6e3bd27bbda1d665b740664fd6dcc00cd6e4e4519102042ac1eb4452aca5c5fc509b28ab229
+B = -84eec64003a14784c16e4c77a98702674bad1f7d64ba89f62909a2b599d4e6a2d8d4464702ef77e294ec35c07d167e612a9f9591bf8199814b21081c2a8d2d71bbd2ec4f4a4f906d38fc93e4bc6a64240f08ef0f0d098fdb9a40a3e5c5be440dcce2c0d68a01683b162c6556f65a387b1deb058309d02ebea2deca0f129d61f9
+GCD = 1
+
+A = -d4c2de2f8db5a71b8ad653fbed51d0978df81f9a21e39f8f4e1b405100cc4fc7d071b94d827ea7a06ff3b557c4810acf003fb2f4354005f055bb481100a30d2e738591218a456c61e9a552977c7cbbdc08e418143ceecc15c35858f8bf5231e76d63653419f79b0a7d7cc7d858b373179cf2dc72205f4d294116709130c62958
+B = 96285e10e53fc744a21f6db9e76446cad0cb24d7053f8fbd5cdb056a3890cdb1120b2a86da75bc2706258d23347955bd3765f34b4f1a16d55e574a7631045604b967e8dd671b7e010207f766ee82773cc59e5ea295c73030fd6a7c5e5a34d794b454419017ce1e790758e3f16a122085b4060def65e04e4d9a1c97c7098f4980
+GCD = 8
+
+A = 5a600c3f7e973e7979039b6c6bf1a48cdd6b77744895a3298ff108c5a2664e3a34c92b9dfa628a938b55afa9b61b99a9655d5c0f022c41dc9fe1a4af778cabf553a410b3d6869b2cb5b05cd3c49628135fa9872269a7b5d95617392f4ee5d0e768c0a594af2fc64a8fd367d73d4164c8e923a69610c540175f71657e59f1ea50
+B = 61af413b7ebf7f5402ef6161299551359a17ac11b5880577c6de5ec24e12468d04b1de245670ccdf81f4e6fb7d89dd6a64a48421a0853bd2ca298d4da987b19ebe9c0cbfd4debbfd0b67373018147462beed300a8c69f4832213e393c4e5b56f9a6c643fe757fb61bafac999319336f5eeb0dc72b64084fea8ad00a6a318ac11
+GCD = 1
+
+A = -986e5a6afa9b547527fd5a9a0e8146460294e39e0f8820e5f6e9a004fa36a534e9bd7b0989e394e6ce990bd0b11a797548c880126cbb76e967a959b28211a8d91af1c3127a6e7c30e1b8bf35b3a510b9b59ca60ce434d751bdaf3072c34cabc211bff4f49d5ba5a97d927a8c641bc2dc5f69bf6972fd843a9b28eeb1f33c48e
+B = -60aa14969ca4971c9fbbe71aa4724e3def8c8359f45ff80d9e266dccbc341b426300aa741163e4228d1a928f2810d51fbd9f11c75fa35517a483bc7c5f37c75a3b8c9f0d38d68dae26ef4c68f7120c927ffb7ef5661dd1496eeb985592bfc1434cf2f12296f5a929e3fc1348c2597ed0f7aebfa191dee009cfa13c9c53dbff31
+GCD = 1
+
+A = 4563fd1bfcdcc7ee97924ad79aafdbdc5b7463ccf6a9b28403b2be84a88c40d2260f11920ac4c5c6b44c649e705dd7ef6c806c7bbf26da9485f150132e5144e34fb02d93383e1c25e57652295ba9c1fb47c663e635703fed27a4a8b8998f99b6f99051f8807f6d064a58e57391093ac52508747ff303c33bbe9f56415565d5de
+B = -4ebd1938a076106491f44b8fc83779c5cb24c38a25f962f02625908104a81625dd8ba534ad73f39f75d7593fbbbdd31c734181565ff442deb79fe7897b0d072546c5320f0309ed9921c3bd8fdebfda083bb3672e6b9c4c9a9bbd5c802a3e5a13593b7df44b3c165195dfd47defacb11997557c4607086af9ca5174565c70d947
+GCD = 1
+
+A = -47a3405acd11f9ec276f5083ab4b685d5d54e0d7124e0be653acf880c7e782453e311493b9a76c681b078fc2a37784d18c82cc72db900ce213019528ec9383e57bf64169f27e11ef605837370b42c05b6a9580c406030bfbf8e224f4fa375e88fd01f1e38bce3890b8052184eecb1e19f25423e1321dd8fefddf3b5c43718865
+B = -8fd3e1c8b9cd38bd07dc58f00ca62cd1a601489819c75e70c12a74d38922cde630495e0feec8a624f8c4f3e0381e136855e7fae6d0c891ea63b86569ab4a9f08c13159c304a7166c5c0e04c88f51f36bfc3813046704d923c8e236f5d2b1f34fc6b6ae9bfbc599f4f8286799058c9e85a95c47e359d09c6f69797b72f1c0f3c7
+GCD = 1
+
+A = 97a4c14c32af38be35eb0a2cabaa5bc64d23443cac7aa01ac787994bd11b466be9b931b8162900bb0de32b1d39c7d4cff58573b0e8c78f2dc3aee53c76a6bad44f7c7209b248f65b0cf890ae30f09d518dd7c576c02aecfab1a05194385f70e305c6f61c74f3d372bfc34fe8a9565a7b6b3781f4371ce1577fc1e495683660f5
+B = 99e07c455fcc2b2b37e21ed93d1e0fb9c20cd4ebd117060077d2b51a01bdcf8872956e3fe978fe68fa12493f24da12a7668790d900aef3a8ebf50ca6be0bbe4d804930f423146e6fa09211f949b62df3eb3fd663416d4efe517444fd0f9d198b8d9c28367befd14d3894cc1eada2ed74865b99bbc4d4e28f7307a83539f8f1e1
+GCD = 3
+
+A = d6f0b24dd80506bb67b3f0817c442670eccc37978c3abfacdce1a68bfdb12c27c0c7fdd0611b2814180a32d16f3a4c6f8240123b8e33b9fdc6612c9d913ece8865f919e5f569ee0bd87bab6f38cd1a36f2fc593e6aa04eea739642c64d8be542bce5b1235ca49f1df04841a85d30dcc63bd950dfd636a42f3ddc859865092d55
+B = 69daf80faf2b56a66b8de5c7d1fbd9d8f920ddb016fca362237bca0ead515f942f36f5ff423f8904786f5ec3caabb6ebba3e8e1cc5c512a4ee2feae2c4af53f48eaac8b264696ad4a3e7cd5fe15db754fe2a37d9595c1c69ed250ab57d00fd21781c45316e85cf45964c995519bab81d1d5a426a2a2e875781f1e2ba7fb2f9ef
+GCD = 1
+
+A = -ba0e7d8a3e1fca296442be2497f0dc2fcc2e0dd11e4e1a3777f1bb7c97988a1985976c398b9312e5b633062db11bbc9629bad4346b5106c745886b16d988edeb1d3969b1e8e8da2209211f0b461a6469871c607a22b27ca990f386673186dba3572d899f0be2e9f261a35f6186180e92b3b22506da5641ae6560c1247fb22be8
+B = -4b4a3c7c8def6543c5a2ffa18ae6428e3cfbb376d257edc3c627d07a1672af2df9cb56a99f337d5a1bf8879e4f73d0eaacc05dbe489a97bd530d1818f2574df19ac234ef6a7db007446b3822427a87feccd333bf74fbb67d20cdcc302eb2bf8fbf3faecf2f2f684c6955fe2614026a11a6fd8d175565d8f37a51b2606c17772a
+GCD = 6
+
+A = 3dc5e185a984e8c25f26f7fdee08a7f4978aefcca5f3922d10224c433081a77b2dfa6b472d46d0bc9da183f285fd6fd820e9d4b5cba705a25f9a4523990b78b1b460c9d5836b0e66f14787da002b0a8ef2a162748c16bd06b1e96672b7681dd7aeb526cc324701378fc7c49ebd350fc32549f4896b06ef396d349d8611cecab4
+B = -fed11fa278ecf793c0eb288ab69222f6332548b2ad222eddff1aa2ebc9531480167144b27556db069e11f7624870aef8b204bc90a5b404e1756ef6ce032bac6e7df1c4df263a2c4b2dc7e473ffd80c2202c939642f8313fa0e6daa8a3f5497c43185d1416b1287c73300bcbd3061296a5f594fab7727ce2f4e56e6bb58600bef
+GCD = 1
+
+A = 9e5b8c62a06d72d74ffa4d1d33190859c43dfa2bb9737b1ca10dee2ddcc61306df8177d457ad12c8c649aaf20a8eb6bf28956520e734baa74a83197a4297a6ea21c06a73e9b8e444a5c1ecca9752abe524a6aac676e3b58ac8e6a86c17aa261a71544bd490377ace697853bea46946401e927ff9da2c3dad040eb26173bffbfa
+B = -7edbd4b029dfc0116910d43f28e948cdd7b2daed3a9e5ba47fbe83af539cea788891fdf4111969de3d6793a1ed5e911756d10bb9e139d308038e463c1693f2b2693e79275473db668a33da016021ae7356f288dc29c61eff7b2c9d26d902a2deeeb192b05a69752e7f6b1f6a4ac72a9d503ffa095ea50790f232fc12535366da
+GCD = a
+
+A = 2ffa021fd6b07c011b79c5cca063270401789fc08ca8981ec05692bc485f022c30986f806173bfdf4ab54f89a804a1b6130c5489d72788b014c4a02e6c2fb506c7e51129035daec4bc0bbfd779fe392742266e34079028be31159da88335675894bba96384c19a886c27ebd70b9e86d01ca934ce3e0563b5fa0752699d81c375
+B = -782ede960fb3ee57e1d603f1d655620f0976f754fb6a1278b52617a25dd55571d02db029368887b7a7c468d6280508832d5a41924ebea3b01b78b090499fefd8ed95a754700dd21c29238f4a3aa776fb60bf7b78fc84577db809cfbf8f4f4f436affd562200a148c861e9723b0c153ff08788adde482f4f85c013c915bfce4fa
+GCD = 1
+
+A = -891b497ae124ed0122af774d36b7ba3d69d9d1577b941daaf44cd796f03136a858ad5afda36774db4584f97d7958601678642b25f7362fdbe1feabc14e4bd031268f2b91872f8c8823b4584f79c549c067c42de369885db1f55735615fef293e61a65ab3f783fef37b44cf578e2377c0e9328c8da320a19ac9019d9d58c1e810
+B = 4ba26bf83a16f458865e9843dcd7fbe2d6c4e44d6b7382baec33acd58d4dbbed88a1c861d25b6ef0c739bfc11a4281224e9bbfbf4c9e33be1c9e3aa0525a1b4120c2005cc81619825f3ac03fc5e68850b1d5a8153df54d8c070779e79add76f9fa840690f60f847a84663d8c7d0f5caf774138e863f9be777e1ab4968e788bc0
+GCD = 10
+
+A = ffec42a9b9a2587936cbde6d09ee8948a2df033258331d44431c597cbf243f4a8e2b7708ddb503cb0d667588688a936d6f8fc399877bc1e3068cfe046914c207ac1e9caeb2710bdd439881d58e8a5799ed657a76a0f117a16602ec0139d3c216209476da52f4fd2e57ced80e2a4eeefce81dfca9a296544358e0bd382c91e342
+B = a76760bdcf7a60a1499ae6cc4397a8b9891510a5f9fd3bc50ea9844ec483a4ccdcdb3928dee163ab3029d44c8e10cbf8ffaa26b26f5ce531f739c5675506e060369d546ae93af0e3066fb8e6844f61ef376fd264f3e591f9323dd83f8e889c86d8e85e5982974b51177579ce23bb0da10b114b8240d2ae2f0711355474113687
+GCD = 1
+
+A = 81b04f6d9038e2337a3f3a86e926019805ca5a8ef37da21b14e53a6a2f1b5b8de550ae47bfdf1dde68964e287511d8c98e0e6212ecb13857987ab727f1cbc7662a49d7a232b568aaef8b92f57f2d70ea1566073c222997bd2599457183888a19993afa6f6ac143b13e9ad81f25b10e76b02f60922cc27b711115957727e36404
+B = 6083617c7f3b18801243dc8e90503ce5f232b8756750226a98a05cfad092b0fb058f15e4f8e2d264c13994ab0fd7881c12b7f72767c4e094a01474b4dc2c91210f33777f5acbd6107373abb8342eb258c8e4d6928faa19a69710b650ff56b4184c4f83b4f9404692993025d293fe926a61634358ba99cdb36f84908adb8457bf
+GCD = 1
+
+A = -b4a8f6306d5de531af7cd48349ddf3c3c502139500edf9f15f2c40973cecacb5e5b80508a56228dd8b9c574cd40729e6b78f71b00f040bad1824721e25b87ae1dfd14201bc76d7d6c3cea60039401254fbeeed29dbe18a876758f862bfc4f3d6d0c57cb56a7eba04fed1da50ab4e0d01cc4fe4b2d5dc2df8a4d1877827eb021e
+B = 77d7be21aa9bb385e8dba8674dd0035a0d79bc153a007204d8f3f03ab5d510ee5e0a104f885534453daa40d1d50689fc34f86aadae71bbbbc8e359ee76074edcc56f698aaff48768ab3a12da305c6b4e4211c0e347dc6c9d9c8c41642ccfece0001315afcfa0782269f87388c7ec71d7050934f6d1ae84a868c6aaa7ff1728d8
+GCD = 6
+
+A = -6c2884e8b4dd564eadfb853d14d32cf51ac1abc7bcab2f5a8592feee93fe24b623a3cefe7f28234bafecbf2ab9e05801f57f411c318920b5e05f73551c4ed63ab89e4d8eee9da56e51120dc79388c24f096aad5ea9f83386d6bfe4185436a461ccac454cdc968440f78e73d3e9577d3688f0b12945c6cce03a8e60132df88b6
+B = -285a87e39fa8c39929bfa7640607b622354b1ad7f3b962c7fd4105da6e1dca1949fc7fe6f5bf2584503328a390dace046ff4a3f2538f6c9bfdafd5b41d501bf28bdc33b26838df2299cf4fdb2111ee29a6e99313e88ccca187f5fe8415bce389cbf937c2cf03c19005a63e1baf809e9246166445291b40af609cf90d496c86e8
+GCD = 2
+
+A = -ab2d0dd7e99ada6a16bb7350ae8410e707d6b1565426111154eb74ba38f8994f2836f84b6a16f0d08c19b5db0398526a40030f8caf21830670ab117590b268069b6ae98fbf71620d1004eb040019bd1277ac4c65b7e190f06a6718536c5d3939b8041cf545a4fe3f4c04b69e0c05e70658b73530ae26f6b886434c5f2697cf1c
+B = 99fe9e762d2cbe137244e21812a0f72455618d7b0e2cec511788161a342b7d1b60763442630dd4d02807853ce69388500e195ca6f2b260780d97efc97abaf1db32d0704f9136400707820239d83594cbf562f81a004957643fd103e234d562ced76e64e7ba14877f0e1c6754c61ce3c543c27cf4c554f06131258c90d704052d
+GCD = 1
+
+A = b844e52b0a0bff6bb5df5030a9adb8d7116af7abf342ae12c5c74c6a829f5ad41ce60213bce565e4e284ba34da67e072d625e84ee9948e4f72947832ce725a80720cee385fbefea27645e2f92e6310cdfe09ad539b876ebd587cf2b8afc8440a112c7de191fa9519f8ba744a041650509e680bcf74780d390126888868f6d75a
+B = fd63caa1d98b60aaf8487a3444dad51f3ecf9844195a84104921750ee4a3a2235d3d9224cbf7714446d213577cc93f08ca5a07a5e0876e0e868293d4b3a09f3c32903ae4fb5072e19e5432ea2a6fc90149e385a414af0edd6ae6a2ff4e915a18db10e57a79b65addb961cb39ed858d15ef31a14d9fdb4865933a67922cb576a1
+GCD = 2b
+
+A = -6796c966e24fdf498832e58e2956464f7ab6f7a6e86dd90d117854e0b38fcba307c097beb638d9719e341c83c1cdd1a353c18f0188fc19acf91a7fffc0747b1c4ab21c2a1259da048198c787cacb69ee6e01b78f8acddf738e40cca7d523ba5d2d8d00d09a95cae0ae4c0b3ddd13348259cc4ca1127462ef59db73fdcddaeab7
+B = -7eca244e64d76899158bfc1f14eff176f8c780a912d0b1e11dac867879166949b77cae31a4aed6645e89f07d5de79e0217e3802862f06841e07c4876331629c31ee2bc4005ba10b7cce1f584f729e231f2d06f8406bd966a5db83b15d004aac68c004206eb3072f442b5e30a69c767de35bf3cb1b8714346c8f7a966b341348f
+GCD = 6b
+
+A = -d7a4868b78e2fd83c8e5f68345e30fde35f742adb0cc05c5c3bc282fc559c7a03699d3f7e3303889a5a9e84bf0a38dcb721b62dea0bade5f5115de62fb89257870d7b3272818c9066af713aff49de1572aeca8164bdb6a070aff3c2ea8da6bd16ce2cfe17032b0153e9ed2e2826ae755127758fd28194bfddc1a198c3ca79c03
+B = dd93e4bcde94b3bdf7db555891725ff05e6e4f4845e417c70c32fac49baa694f41cad1b900d7ede8c80301ac628467fdccf09f21e7cf9df51d4a888cd5dd125e270403f344bc2b3f2916b0293ba465d41c3e6c5e108c360cb2fd034ee7978f3ca8f00250ceeca0c78afae61a3ce2caaa974dae10844d9c2ab0a872bf5a450037
+GCD = 1
+
+A = -7411c843ad36f46bcda4091e1b977359e4df4224e174e55a78bcc423d68362a24de62fb83f7a8d3944fc157d6666da9d25470c0b8d00c58e3d76a30418acc0455d76d221fd80a16be58fcd316bdd69b509358b6e822cbe28b857889077fb9c266b2fc5ed4a67c6f9178ba6f3c8c083b8154b2da89b86c5733ae28885ec1df8cf
+B = -1fb06e327b0e995e3be632da3cc1e9dd80a9e767866b9aaef5fdc542fe3394e4584e21ff61f211656db4cd4c78d788f46f84ffbda5ee0fa923d9f13d6a8d45b313cabc5326be496723101d802a8f6581fadb719a5c683dea5b223f4c2e38529f433f2fba765070298094c1ff158cbc6d2240e9f7b2516fb3dc9fdc56b879496b
+GCD = 1
+
+A = 47d4707448896229b676cca6c38c76173c2bdb2c5bb34ed4fb88d54da367905cb0661b9b2ba888e3f1006bb506bcf9459dcd88ee4947525e6d09ec48a335cce9d53c3a2c61a1df175a6c54b88ab91a90b762cc273c72246a5d2fda345d5d35900bb120eb30be948aadfe48f80f21db54b539081c284ce9f589a8332f7bf5f096
+B = 7e71dc426dd4eb2f0eb41bba7a3ea42518852bfad21d9a6325c0b97ac1720dd59261c7636d1ff6ad7b75f11c3aaac76c7f048da473a4dd869b73f26b87679fdc40e4f6f4ee989945501bf6ef2235159f3b7933acfebf295eaed5b37dbef24ae4b6920aea57d9c04182305128c42fcd4e4db9cf22be34349dccdd7b06931c618b
+GCD = 1
+
+A = -b8f867a5b3f4866ee166b5c443e9107d0e41f75dc3eaf6b4eaa71f7ac0194ee70a1ceaad13eace5b885a791e1c76e9b51c5916a54dde1216cb9a43606179d76bf44f081fbc27273c7d82fc27ef656aeddaaad435d600a6978b238a4ec0f68236efa3796ddcb0c6030765009cbf3510a7c6fc6ca31ba9be540adc8275ffd683d2
+B = 1fbbfb546c1078e405da72ff2e76ef3f9d445ffdc1f593ca3f498d95b12ae62dbbfe2c22830f06233583b63af445cc09a64f9882b9fc3151af3239a910a01ef80129de0fe89cd4dcecdb982604cd0cb95294912ff4cd856ab3092f627bc6842effb8e5440974bf0781c7fd6237dd9f7e5ccfa2a3c04fcaca33f60c3ff5411675
+GCD = 1
+
+A = 3403e3153ca94f31e8c4d04285958197c59ccba323dae7c9cac8648d7e0d9ea292744f09befb2951a2ac8b034504e1602c2e1301d6e47ff1ba11a077bc96d7bb4ee5f15155fcf56e4a99661b71e964f533ab7056ea6986317911ec859e99ca31474551851883c2ad6d4df01333ffda8d31bfae10338930541fb14d388f885640
+B = f460857e121aef219f05a8ea2a401aadde30eed3d2d1f928074c87b94f35a052edf8f9ce9379eef26a46eec82eece80f3fd2ad36f4a6d856e119a7ae446a6a23f1e217696be4374a70197a97a34e9027061eeb6b73b5b6c647e655f0f06978b873489d8f1fe872052ed07f92df98453c90367e4dae21e5b7c9bc9c7fe6361bb
+GCD = 5
+
+A = -1f5c949d8d2459b9f52231635df546c74f73e9db87c6ecc50db920a2d53ff40435f73f4ec8f88f5f5040b066a7e2e60f4db762080cea6670024b43eaaf0843b777440d4773135ad8a6a7eea88ed8cf5f579c4350afc32b79bf433c12079dd8e096a50d673d2d44dd18dc4af2f8bac000b31c07b672dee1d7fdea07a2b998538e
+B = 989c554a84e3511cc871e48052fd99080ee510e00e881aebeb1fda7db20d3f478732db7e4498047579dc9eb9ff7cf76480545ab18ed677a677a88b7365e73e067bc21ed9b599d27fa7a1f5c52c113ab363dc567e1cdaadd9fd4d56d86a225946486d752b067e5aad7823dcc497b2ea91b30d547d4485cd5eb8a38246de75235e
+GCD = 2
+
+A = -ba1c94e13d0e68a62c01583bece2ab2b363c21b3c5dbe912cef358563191a236c4f51886181e3417bdc306c0af8df3652ea66e260ba9939d32bda0b93110a15bb9319e13e91a00adf56289421aece7ea362341173c1b9029ebbdb39a5fc1fc84df0b35efe20fd0e5bd26b7307896c0584bfae81cdef40a2460e420a65cb2f0f8
+B = bd4f2d593568d9b4746dc201416b8f4f9c80fcb51549db798c7fbaf2bafd5faaef75fb9f7e72ea8f2051410d4dfe93f6b046a6da915ba170e6040a26ceebcccf4e1df7011f10852dc56d05b26ecae91ddca1cdb54dabe6ef7ad101437b826071f7da3065b6e034db9406dad4da0b8534728a1aef1f2211821ec93e527ead6330
+GCD = 8
+
+A = 9bec3b9e7937d5f0af8f947b3212c5bb7c49fcfb346958ad98aa4b6623ea0477f2b8158358195f32e3a59833772e3f398f24a0afe68dcdd8e2efdc92c4372089cf06b26a6cce98fb8d0a2706227ac5ad1e5a17bc4a37ee75b0dfe069d0b6c291431128e4fe425d72262b92a17bae9ec094d254d6ca0558fca528bc6d87b5da57
+B = -6cf1c0d6c89b90698312a1210d57c45d65a92a8cac77db44fbc1af15832a2aff10ab92f47f7246e76f841b395058e0de3fb6b92c84e3c69a0e78d54317f0779c2a4e124e4826ab717130955cbbbfb99acd80d6971481d62925d05c5896ab843e82aaf866f6e161a301c4735364b10d2d2687ec5fb2142ebef6e66368150b511e
+GCD = 1
+
+A = -c02f379b14681a8e22ef49f3017f68e9a50c12b6fcf4474e7edbc7219b1a84ee8161430f51d66e92d5f6a04ed4bd3f6a4450c36856aefebc42e78cceb1b287d11959a1b92e046bf471573d9cebfdff3b77147bd5645e3c86d48e8deb5276dd8b5fc76533b90d6203c39bbe3fc3e6011a4c694e8e736e65d8721e7cc9e875a3af
+B = -bae310ea9bb9e6a4611560202f47f01a08c7ffac2b64d0fa0e8070974fcafdb0a41a8570d46813097f407d3b57e9a82712b1de72ca861f99b608669d8f59c30b66f225ff9d7a08ba15affd9747e627ac93e67c654273fc2d4522050fa8e78b496030432cef93e7348ab35961489226bae444b5e5038375f25055cf113f03e811
+GCD = 1
+
+A = e58cf8c714130a5ea2094e4370a53a2eca7c0fb6bdd1e9aece299278f2136be69c2b61dbc1870d3df7dd0b543e221e32341f6445b0ddeef2a32c33fff7c51b1092ee81342131c4001604a1e5019e968a51ad6017acbadfb20ce0a08dd4d4274685447692463fefd7a68519ec15cf4605a2fce09bf6342bbe1d6fa13c30287ed5
+B = 5aa56776bb3de86cd6feebf730aeb77c42349f3c983fbbe9f17fdfd6a8f600a08555450333175b4f43787877c097c2f69f00f1fb65a06d41231450727ba20502f5c73e37cc5453d0baaa6af8bbb40dbbcb2e29a0b2df58a40203c6a095c3e4b00c483c05646c0b66c9ca757c4e79bad6d4a0af029acaa129bce5162aca5b7e44
+GCD = 1
+
+A = -5695bfd8edecc0022124b75e5f3b5b9432574e5cc4957b8a580684e32dfc9cfbcbee2c71e941d96c73ceec0768ec8f326804d0cfcedf1699cd8665dc83764c5b333433a3369e216b03ca831ebee1fb39181d02a663462087cddf7ddf6ed2be224a1fb8f66230a3f9712b0c514581c52f9ccd968e31a10ccd1324dc5dc5fa85f9
+B = -cd7df9372e07dca86f3a8168611a4b0921c030970f029ca3afe3e0501e77e874dc2fb8b6cb50e6d7fa7bd912d6e112b535f2c9b2e0045f335b3bc1f71ddc87751fd36421117d575390184f35f39f57bbd474d910a839c0e30c53f24f7cb2a357e7fc57dfdbeafdefc2df72e7faea75c0e8567f8effcdc45934d6b5daa21624d3
+GCD = 5
+
+A = -960954f2604cd4f6687a9910f155ad2e322a5ccd41468ad4c59995a7b8a44c54beb1d7dba4435d5956e5757af287a95360064ac99e3dd3a7038aec5c76e18b79dd2ccdea9a49f77d97e8e5b1efce410bae37672c682956c7ab4656848eb1f11eecb58600d47e3e7e831c0fffb5f20d9276b9f4f287aa1bdc31f62bf8d95d9451
+B = 4208f9518aa2a4bdcc9ca750e46a9b4393fb76e61538585b1503a6c52de8d31c7d24126fd5db04bf00227f22b6a235be39a5c083c343d35914a14b9827b1491e76c47761891305363b195e699b9dfe79d92e1d0899210e505871970e63e7869f4ba07f4205fe22c841268cb5ecd12c7c0d4edf48500a3f91c471c9b1b2b1b711
+GCD = 3
+
+A = a3b7cf019351f252a9a7fa2c38325be698f0837ebe9e859a13b87d406210492a498a9c7c0d74e9a4927910cfb99fd09c05d9b1b0e6e1edbac72d99ad36e8c8f1a57781e3da9d494277aafcec17fb7c3328c6c1e7a80ea12f7a7678c8b83a3fc6cc251a1cfb14a460a08853ab67cd2499ea9528301eb81ea9cab59c2f5915e913
+B = -697374ebe8e633cbb1774914898683c883af7e3875357802e9af48a6a4da2a7029426b64489675feefba1ef5bec0c0bd9de07734576a4efd950cbee4a4c851202ba2b0ddd09fa3195ec96ec0aed780f57bb57bfbe6bb48e0afae8dd5b12d2cb819580bc890aa725c6a5f71217224eb486f9121a2d82ef7a491887568669dba0d
+GCD = 1
+
+A = f1128f3a57db5d0812c1372f6690ca3af699ad2bd9b6956f158a5f78d33c464af85ddf916f2a5464af17ff71f0a22f42ed804d0eae988e971db72ede47c0253d28169113f39356170a1530bb068bbc2e6ecc3931ac70f63881d3fe45cef4372ea03f38552ca3e74f251040721120fef165ef8014f5d647b7d5b02d3c13501cda
+B = -915ed34c40035bdfa6727752d3334cfb5863bce5abb7094af232496690922a8f410895fbb827ba34495df84a466c8a924142bc92641f056ee9d12a64054e125128b71a27335f549a90fa11778646d78b11447cd5afb31f1e5a667f9f4d6784a65c30f9cff34f9b5b3656ce419c3fed1defe0638b21bfbdd42b15fc7a7c789715
+GCD = 21
+
+A = -587f0a997722c76827b3ed1ed6f1bf1b9b74d6aa94ba5e4c735cf96a42334d9a9812010a6296f9c84bb011a329a2ac738417c8791fb062845e84ec3ae2bf4888e6ef902220929bb5d56c5c82abf995f1493991552065a59d9ed65314c7a2bdaf20d4596e710d2099c3db9c833afed1c4b5d9cba8ae5934fc2a753caeec7e7527
+B = 2d2ff327e05cda44287cde4a9b589bca20f0c5a15031b9d7edc36e5624e750f46612a89bceeba2d4964c02c23f9e42498992a594d43fcf3ed8a999e389cb640105074205d3acf0a072628323a3f3ff96f45d4af6cf84a523bcb83be204846b1b84f738bd9e17a2b1bd1c70b6b294346f6e87d08b91493c48adcba8428929a2ee
+GCD = 1
+
+A = 58ec55b033a8bbe72f5e27224ccbddb950cf4a1a02d07cd83addecf9b9a174512b5323966c9db4d3ba6e0f6a90d78e24b348d91f717340a3a354b23cb69d236a5a42661b5f3b183f45ecfc3b78791fa2e59797e85cb555a969f1a6c2fceaa8c373f8117bbffa23b9d387504e5dad627c05881a2a7e1d58fc22174a2b8e29ba59
+B = -1c7fdd15c7415163ac22e766424d6685286fb62f3674cdccdabf0f8cb2764788d7c86afdf8b45fbf43295784069e57a48af7d54c9fb13e2cee1a08be7e7bdc5f75dfa947e88b9486041ff7038605b199c2659f80ae684158ffa942cf8bbf9fff50f03947219fd7c8f2e585cbd8a66223a4778b4271ad179e84214e1c66359ba0
+GCD = 1
+
+A = -c1d3c2c81bcae8b8bbcca7a04df8cea662ca0cd05f8b2d99ed1361412c3fc54be413e72e926f878b436c6708c41bd67d92a9fa26691f5e9b9f435e42670b295ca02052484c0116e915b10011db67fd6d1c8d28823972b2e3041fcf0d04c02f3ffcf431a3636d508a6cffd1f33da17b6dbbc5c043c3537f43cc17c44b7a5c8ac2
+B = 67e4cb08cd8eea1e9600d7dfc602eddb0401939fa90b6f7cb7ee81e4332fcbc0d68920a15d3ed81c462449bed1aa7160eae70d6f20ed9932656e24fc5735f01732daa4ee460caffacf5237b3d5d9c546f6440cec219119a0ec7612d8cbed4714ee50ce1504b398c96b5a229f6226c8b456af4cc54fff95cd6907281db6eefc5
+GCD = 1
+
+A = 41b3860e81a337fc40852b093e727e32084efbec61fbaf59dd28493b197a41224bbf1c15265196537928f181194c3742129822576c1fb5181bc707d81e340cb5bb40ffbdc919d5a418a681118b6f99ac7439fa75f23f35ab0e758e2571dbfcfe4cb3868517d1524b2844626e9308fb1b0430f670d1ee87de76eee5b7a1734fd0
+B = 2854ec0663da374474343a01f74b13d5a0b64d0ea2c3e9af7636dbb8874244541219aa549bee2acd061e05857ee7fcdc1a8ec37d52b731bbc9ef200293956ceecc0846219f97facc3c76b2ed3595fb829c0a6ca0f7f041c8650635ac2da7bf7ac1791e1b250b11874c6ebe5718d7de8f090e5df084078b11c47a7b1d1e5dffca
+GCD = 2
+
+A = -f8cc8bd8fd5197095148a12e48afce61b0c0b0f1a5985aa376f00f4ac8f5631abb293ef3d90440523f76329e6e51cfa0c0f80e52096f2db67c83b987840bfaafb665eb99cc856c3ee66d4c7ff7e2d27e65e56f6d1b33be2082355f7d3d3a518b919ddd67929e8f41772b7110aa6fd0fd5bcc25387b62b78124505648a0614e06
+B = -2793d055589254302469cc9771bc837fedf08a153c6280cd835789d4b074d1a9c77c9a5e15029e3e7c78b61629fa9414574ea4c074777a3442ad0baea50aede74c9b6ab26852152e70c84c86c76b871fa90707dfcdcf9501a23f7b05d95c3fe43bfac67d3d1b7a2b8ddc817774bdbec2f1cc0e513c4b1792c2006ce510c5726b
+GCD = 3
+
+A = 9aac4efc5828f646af7002252fd8553ae5b330051502371db87bdc34eefa0f138e55044c7ec531e80b0570ee207656fada2507368a837c7b94051cefaa745f3a301936a2c846e44caf6ec604378d7347b50a860c86a8340a10f728c819ee0cab892fa178c28f9663ccbfb392c109d3179de3387931ca6becbb4d93ccb463ced
+B = 6ac4b6ce8d3821dc7e350071efa6212bb685175ec32183d00424bb35d9ce467c442552ace65fc72a1fd8e370fa891a04f565f79eeb0e086a405ddda82fe881918826688b3b3d5143c4c4c325e66ed0a544f533b2b9c513fa2c98ffdb85a384d9d81e83138dcdb7645d7c0e1b9b4dc135314264fb2929b902fa97440ee73997ab
+GCD = 1
+
+A = a56b5f2d7d23608fac2b494c72ca764ef581482329faba6595e4be73492e41bd0bbb9e0561c328ea10e3bb1a149a877afb937d202e67c51e7613bfb086dec6f27b7b7048899e02fd7f5085dd44f0a873666ae20f74e69a5ff258f2be9bb777f20b9aa402b2e2f5a0ec892341ad0ac5b3f419a8a531012c082686f1bc44d1f6d1
+B = -af73058c3e51b0818f958e6ffaa34c72ed9653c3f9ced0157ca4dafa770d289607d3fad16deca72a2fb295a74388dfe337f8185d3db5954e25445b7056acff777931424710c55ec7d5db3027255b786241f393e09832f1d113b96bac5f0f8be1728f77e8a1c67bea0e50f38c57d2378b3febf0fcfc5bd9bc8e08d5acf5ccbee8
+GCD = 1
+
+A = -156dc1415d58bfcb020319fc2d23f9fa44732388569906d59aa9ba1be590bcda14c24e5b10401976df50bd01003656ba1ec51786f45f099fae3c3a54804a864c5ae6291e891e386cf0117ddf06999887f6b63c16dbd397f6bfd23de4628304c77b1c21ef564f3b500ff93a8f85cd5cde00b7628dcecb43a2b286bd36b36af2e8
+B = -30853db6fb940a85214412173501e71466b87b30a0ad917cc7c16a86f64f763a356806c1154f42f22603ccb9e19cbf98caa02d87205e9b3c89d7c0b50645d61e86f8319be5e98727f017f5cd139eee71bd6f43bf63495c3548ac100bb1de9f4190084531b88b57b82208fbea59981eac45802bddb1c2e867eec307e37baba12b
+GCD = 1
+
+A = -c58a6bb316fd230fd0ad37906892240138879653cadd519d3e80e0841852017d8bf7a5799846f9988c2ebaf0f7393ce92247704f05df022557bde9bc5cee1d37202655ec283057700696f79644f7db62b838d22292fd2d71e4f8b01bbefa9f33e4a20a4d6b88c0774b435d85fb0533d49aa6b3a3e9b644e8a99b69b0fc839032
+B = 413235192140846471e8039312c6c60b8a17d037f0652fc0fa6f7671c01ee197906b023eb90b59a42a4081d8fb8af1dc909208966e297ebb739e103cca336b20ef4ffdafb1ea5eb4e0f19d09297a6cb6ee24221cc1b17a2e78a66605c346b7a4bf69b91258d75aeb1b1715a82249400c499a07f965835139d4090762ca4d7f5d
+GCD = 1
+
+A = 5c67e06428e845fe7170d0a5227521918ed949ad4887a113395929a2cd70e70e1df88c67de3bc54f2913614f224a259279f2b4afd7ad78d2c26efc3148c6f3b09212f8af2a8973cdd29bb07b9a26b27766100fa75ebdd5a8158612c2b929b6ba972e663128ebe0be86776fa6ed78baa0f342da17c9cb358e1ef2206ff9da33d8
+B = e6b9578994d68bca9fd69875f730313103303a5b81a1599e5af9b0d1bf561f6d6ee21bdba8c85befe37f556bae7be5725cbefb0aa2fd32b3f1281c9236b8329d56a7b19a0a904cd4d2d7976a258af7782953274620d0f29117e0d7b9d91dbdd6f258d97b9e1c0ef6b1950a9933b4f6641d1274b160443e41a70c0106ffb86ca2
+GCD = 2
+
+A = -711666619bfbeaf7f5a7ae3b700c210f36a81a7f10c81a1d4b1be83ad08ec6c30d206a1c8ff968d69d0f9e411003f7891ac5ce4263b00bcf4befead45180edc37dac9f3df132c35e8f0c68b8458d11af5c8d6206062bad23dde4ea230e2405c567c50eb93272b9f95e3f6efaae4baafffe844f5768d948f48f60ffd9027f5676
+B = -89a4eb8d2d5310c4b017aedbb5fc5d29532253da5303068619941352950145c993ea10bf3f21a697eb4e3e3130a183625419a29a1b5c15f3687c68a94ce7fde1561992b1369c4948fab8db9f96a0f7c3e3ba2c3474d57a4edd90439ba7692b2e8a3fd6867be22a7e8bedfc69e1c340dae8fef65628c388d62ac97d1dd4e6df74
+GCD = 2
+
+A = ffe0a3763d69e6ab5e90c7dc9451a7b91c0caf76bf48f3c0badf73071731b57461ed99edaa289b0e74bbf011804c8f34bb6ce0f104509181f8e6f898fcc6082f8d847a1682d84d6894b44ae6d3568389fd7f8c395f2c04bf083f42002ba1392294b003b61dfc0d1e1980922f8873f7eea038d4f9b6b1f3abb5082786ed144814
+B = b1897f83b3df810c440d75c2fee6b1369dea666fcfa2d5734affe33f6dbd44e5a1c6eaa65b8a75842a692e98139bb1be164a9ada60733b875c4f4c00eb108c5c076240addf65c68a4a01700a99b383e0b110ab8c9bc4fa7563548f19f0cbcac7408b4a734f9aa80f1e5e54942330cc2f6caf849f9c2069724543524e259d92fd
+GCD = 1
+
+A = 342acf2dac3e71da54c2ca58eb3fd7a45e0a0afb9959991d167baaa17941736b3c4841436f2f9bad425373a4c742041acea65d485664fa5ce67da7438816060578365e52d9d78b70ee92681dadecf384d4923baf4bd80e888914a5f16ec82b2406a4ce00474695468db8bca2a568c53877e4b4a3a51564216292727c1fcb6314
+B = -1276268cfc6cc7564d2e5c20305e28db261b7dc1c2affc8f80a55872fb2975eec68330c186cb053e90cf5b96a3d91812225864740d429a3755f044b4629abd4d6c55a4e3f91d1a395c4d6a47a69be47b14da2261fa6cb5da95f9c4b255f7596a39bed4b3c93d5a795e445f25c4f7f0536ee9c268a98db8ee34756206826fe0e2
+GCD = 2
+
+A = -99418137b55f8bf8a7851cceff88c95e3648894d39ff3791f05a3cf98dc5ce7769d97501d2348102372df1728ed81eca845e426d36b0ee26f7f047ba67b876db76a15bb6c3a31eeba06be51d494b87f6ae30907a34742e36b4f1e59810ed50553e11132dc2b450eed437fcb20c5f0b2938a5ae387b60881e2bad6bf124092858
+B = -9c3f99f96ca456fa647b93811a7a93189fbda5016b9440bb7363b2da1c26185a23d5e023a1ec08051b527de6b37028cc0a8b182cef931945b81d73a6cb2d5e986a4fc3cef6f19678b81aa9cdd318153e23f0dd20b138a4dbd28ec8cd9f5281b9b216f17bed831142395e5c2edae45eacbeeabede544c2c9798f7bbd8d9dcffd
+GCD = 1
+
+A = 8f9c55d58c5bdd33d9384f015e19a1572b54184f436cacee17873a7b2fa5fff8d1939af314ea62dce2bd38439e12533a09aba4701e562650e5d0555dab503ab23eb6d752004a8bc70fefcb0b2d3195389efba2741ff35901727b136c52f1f4d74f03dec04cc6f4a4ff41425b52f87c4dada161858410b18c2879282728bc50f4
+B = ed94fcbb8f6d0019d73240243dacf1e76e9c791daa0c7274d33e07947249c865ebf9943e4f691632fe39d35ac807f4a062705463c8bbac00dcac4f7b517b8339feb035c622be41084edc18cd2456e537590ce526a8583ff38ba28ec14ac2d78c3662c788afdc02162fff51232482bc2a7f44b4cf4e0d5d0966d97f5700f6437b
+GCD = 73
+
+A = -fc9df267ac76188bb1253754911bbd067b00d6b4af03c6971ba05b938028b635d3c7879f2f501f37071e7ad039557a820d9b452b24e5237c31329d34fbc449304c31c8cef0a357c34b5c20580b36f2c1da0928a6879b655267d026615fc9dc3b457b8dcde594fb632c4c0992740dedf1ca9e5acac32175131a0952a0cceb3d9b
+B = -8e606ac0ec08268e625208a9a65a6d4acfc3524f500e6bc8fa620ec46c1d19565250d7122be3a8c2caacdea259c05bddd632092777c8e9d3c0a251cce559521c11840d2711d946b0ecd81dd4a2f32f61bf7b735ff997d5d18378000f1c38310f34d5de31f002d4a0694932c2e9674acb7e81b3bbf4ae16164ae440aabba805a1
+GCD = 1
+
+A = a80ed58487234dd9fc427dd327ec6d44bcfda741964184a9a4ecbef537b6f4c3b27450f55a337f187ebbbd3951ab5a189d2556ce9656656f9c94bc8809ec023bf5370a69a153d3ee53e2684e4252400c48c3f7b5c6870092d58754ad0e3488316234f58353be97761be8b31551e8c7de02055f4e773b027797bdf59d2ec7ea40
+B = 3b48b28165af0315bf5599a6ad14bfe657f4e25cb29c1d7fd942c07c5ccc2fa6007019c21297131b70c70b2177e5fab2e35fda6b578ab9710d3e18a89861e0b9042758c75e8231cb4cefefe873310cc140fe1be9b71f14eda93d1b3ba18fdf889fe2419b010310a56877f980960abbf62f71ec3ed842ca1e358af2ca49c1fe78
+GCD = 8
+
+A = c0ef4bf8aac609aac78c2d7895702026649a813ae8ec1cdfea00586d28ae8621268f919809553bfda490c1eaff89d939ef579fb498ef11bbbb9ede3949877a4721b40e1345a3f6972c2e2874cee23302675ea85cd7c1c937313311d75e000b181839e0da96b44acb5851f067dc7efdc94260cfac13fec4300873c4f3c5a9fdf9
+B = e64ae7744ad5f564242c4863d878ac4d8c116279c70a8590e3c3b873436e07b170c58c58496bc61b1c1c88e2f1f130292f5343b6a7fbec667b40567433f8f6421bea275fd86890da92ac30cb38897426d0da19146ddf5117ba3ab55c26432e0587615f0b4fabe4833e9a6382e354406ec4826bf64bf868d68d6da862461a516e
+GCD = 1
+
+A = -871b939490bd400aa629e2772b7f22ef120f86d950f503e8aea4a6241e43225200bbb539ec4459b448d4131497468ba4b5d1fa1c5dad0ed0f9a1134133bfdbe39aa379d33cf7ad57b3c8b7082129f3090c176813d3d2e526ba25ba84299a406214bef04a0ae478d2f457edc10f5484b52dcef7124ce3847e6c756f6347a727d
+B = e917c319b1d6ae0dbd657cb4340346be39bebe5211836541bd22638e0ab58e5d60a460676131abcdd07309c3139a430d40d5edf6af558587d3fa16a9f2ac3b4f7c3dff963f5805329ca0b520d1daa96193ac8a777f9cfa46a6677b2353c6fc4d4533407218f37ab81a433d219e9f330054fdd632502e481eade4e6f41979d9d9
+GCD = 1
+
+A = 1b37809529b041170bd78579c85f21023afa2b0b6077cf9663ac4fd87dbce5dbbf72a5772daba717f3b9825e4267ca323d0a394f7ff9e489362517543b2bec50e8e17caa64c67ac837b575ca53958424d7532dc74db431bbb710817399e951fe145fac0ed414bb8d74e4829f02a8791bbe274d49027f2d641912861cdf21646f
+B = c6fa35432508d1b49c8e5a047289027ef2e343a46f75c437cc7edd6f1d8cd1b732e95e1d05ee56cb62e675aef96cf6d0b9ddaa772249e34df232cb7a48199b38fd49cbb0cc17a836f6e9dca24284722e1aab1350ab220f03403a24b9e71bdad8e78f038d52034f61c52fa8d1d149d7b13a36aee6c4704509bb7c448dc4bdbe52
+GCD = 1
+
+A = -dbc538fdcdccc1fe7cb84b1cf5d702bfc7cf161b959184c5282f2cf4431c87128a204ec98cb1b38455d4bc0e4842562e1b7c8e4e5d1425f92f78bd0fcc981ec73d48aa750cd98a0d97ba1ca6e0653725530bc44677c93f2e89bd3fb3b5001a025f9e83561048e4602d31fd1bc08826e9bc0e6492fcc2565e320327a6c150cd49
+B = 63218c14728ea6dc6782f04587d3e0b9c36cbb7877f0755be2c62094e8abcb4cb0366060f9564b2946b5bcb2f32401b99ec7f29220227b997d431291b793e610a45586d66ae2543f75b6fe0d9d39704b0a3773543d919e772d7bd0039497c1d495528d29d97a7f4b42373039778a19b27acf99ece57f7182a28b740da9b443ab
+GCD = 1
+
+A = -b6c0363fd5205b632b7efe4f888f99ad0f24d3b290be0b79f0fc51d3c11ad30ee6c8e566a2612c2f6b07d91efb3c268cd4d2ed1b816c11d0947f996dedf7f3501f98851fd8dc61f1c2b9f572093656e9a1fb78c7f4de416812be2e06c45b61fa735e005ccfd5f87a4ca9c3416181b954742c09ed3ca2e893a4730e88547d307a
+B = -90e1b02be60ff20a16ea0641fc1a19b9ab3401ecacb1a827f6ca5d4476bbab77974e2a8201bf07a12b9527ad4db6661d20bab3b7b7af5528892d32c9102bf3055ef3d08509243fbc1eb8ecdea5ebd02b5b080a6f2bc1fad349b3dc6750f5944084961387e0a282fb3f80868bbb9c336c7a57e3f1118a4f89c333120bde48cc79
+GCD = 1
+
+A = b1967b7db0905871ec69ac90d7dcffe67ecd29c9fbb0f2f8b4543742a2382416ea9d527f80e5ceae9af07dc6a836ee26fca58a02d7ea600d6de51bbe22a7c3e4444ff78afe0c19f82a9044cc82225a3b3629005bd6d7a21e459b943dd0994d84109fffd72d14c3b2060f048b5f92c4b8456daf65526b1dca58ad067ddbd9d154
+B = -3543b5c0ddc94f064b3d4f7f65e63552014144f50adba324c009a0005204b3d2a1eccfceacffb0f21325497e12469108bef898c45ba68f0cb50cb456276e87a2377632a64a8e24ddf7f885be40e4f02488c5f6093af42490d5a90679b71415ad29d651f680f494916551082ee1e2c23c9e997c8681b7c39d1340f4fe57de5636
+GCD = a
+
+A = -1745d1b23d2b993024e718c0ef69993c747af9d9f6c09d7a014728c075ba7514a76360e1bceda5b00018367eb4c2257930daa358afc6c3504a0203f37550a55ac6654572120e7d1e2aeabdb98e2995580d4c2906a09b2207351d2a2a0591ec0bdffe7ef6f3b613b004b635ab4e70e20193aa51477eff01b7f08295592e860d68
+B = -811bef5e7f403d063e89c30e815719c0badddf21e467204c88d7d2d752111ea1d68f3211da12eb36f375a009c3b95b6d722dc650862ce4cfb239aa2656454a8d0d01a5172905778d3feee6e0175b0407657b80cf3454396c0345089ef7a65f0866878943e1e10b941b10f973373aeab633210f796ce3136a3a8230d2da7a1470
+GCD = 8
+
+A = -36461c07fb2fbbce73a2b69dff466bdaac04eadd813977b4d2486f8c57246bd1d00eab0880d163039016a8501712a5c5f34def4738477055f7dab27ebcae415ed4bfe34f7388f27e7c0b7f4dff9ccf4765d760f2ebd85dc965d1efa9ad9e913ac1e819ee6b07bea3bd0338a8a2188d8f6ad404938dd5ea002eb60e0830f861ad
+B = -404a2327270526cf65ce87fd8c2b5b6caeee39dbd6f329e29737d7aa950c594bb4d08109836a1f4b3ee45f67815da9fd4336d382964fbe07087c60beb709b2c2b99a6ec6674ab11c19b270a852c20b28bce8408051e91c68921c0925f1633fba0f212584c879423d51adf123162dd3892866a115e7383deca05c989384e838aa
+GCD = 1
+
+A = 27cf16768a0fc66c47b18fbfca79f8cfe704850d39cfeacce0389c41f45e1bb2b6921c758bb7219a1fd33e93a0e990abf736eb358e272c9bf33d33d511e17f7457650f3f2dd67330c2631a0b754a916b40dd021d00e5476adba99bfce8a4faa825a8f3dc950797ec7b85761872bc03c56866746d87526ebd5729f349bc8dc349
+B = -676d85ac2307ef3bbb049b04f3dd80a52c87ed3cb0275f6be0c818f5bbdcc13249a462a1ce7313acba8fc265b6bd6343425b2fcb7d6090a921a2a2b3194e4a7b842d6801683bcb16c7ce3fd7d75501deaefc49d0a219a07cf2af4a5454467e0b24dfbf8cf56eacafa69c78db266910243047c16a162dd6fd8167f3d755838030
+GCD = 3
+
+A = -174ebf3591f5a2fa379b3cefb9b7cebcb7639ad8850e267358462b9303ebbab3e62c5731ad3c89331f3e1ff8df8600bcb64d93caf33c775c69deb2ace4556e634dd4058951da7f52173a1beb37ef159443d9a0d65a8ef4bf1c80cfe2c759633f84fabd2c7ad26faeb02607786032eea5c503aa1da0ef7849dcd412abd56045e5
+B = c7050c87f19d7e800e48ec4183c019b2169ce690ead0f489a6020012fe0f4703878fab5b737e1c789890dd92f1d295902beaa1ec921b5719ca5add72d0c9712cca0921e32b978330b5d7fda19afa4cea9502f2e2e0bf361aacacb124e8bcdd361c28e288a7fd11d67eafd8882d785174b428b92decf2c043861f55b851a5435e
+GCD = 1
+
+A = 10a05dae8781376ff398c34ddf0d3850e318f9de536a5878d7a165df108fb03b0c829615ff47c6f0410647bd4369f5f073f190a5f2ddcb71b20f2b513fef58d41ac90b122e5e6dfd64555a9d2225563aed21e14356c23f3cc3212e6479b8e545289b62bc70dcdbb78a21abc12186394770bd7d0d34493659cf0b5693e7512c38
+B = -19a0090083b5b7efbd0f98d035da7d7bc15246f0d7c91d51b0505ad73c2250cf85ac64267d0c91785b4cb9acd828d1a0bb748136a104089de7d3bd4668a412861de19878547472357e1a0402431252d6df29be8cf5d05a248502e33a85142893e7c47e492c988d5b6c5d8653cb2f683d93b3dedd44a0dd06e635273f8d66e455
+GCD = 1
+
+A = 61839d34940c97acb76c21a22693240078ba28deffe1702a19d5a10e7dd2a405b6c59d88001bb271da25274e444df4978c40a560a94e7e80cdf2956db23ab77f6560ebc7950e482d97837dddf15c7a1d8df913c58f98974a8f4a622714c23af0374fec49682907fe4737234f93c38c8fbf90a0111e65c4caa13c1267372a391a
+B = 7810d238188ff40418ea2994e0f0f095e699843462cb242799cb00e96e4b2d8d81bbba9d5e3521d24287665eafe957be5bddfefe3f19c5f9d00069049ebd1e586e2b41aa4b975098ff274441b579b0711196c4d581fa9f3e878075f9803d4fa50bd5b404e3f91b3a98713c5f28ae95182e1fde6e9b33bd2f2041b2abc84a084f
+GCD = 1
+
+A = bc5d1252908108e46370a6e6761e7744f1149af2b12a7a4af8cc88324b88f07450ae12173d6913c94448204c80496bed008864c4b8362b1ffd2858a25fa47d2ddd511d3d330224d4181329dac0e149d161ba081068c991c9a8c65a70eb115525fe6e3b17e4c2786b0268ca454e5f72f39e36f8986a4cfdd64b42a3dd77dde4c6
+B = 83f26aad6b361c2ca5143b11efa70709d19d1fafd99b21f65e31cd71303c50fbf5c6a2d1deb48490d96092bbf63e555544eb865bfa35db8ec4edfcb07bf5e0acb91484c1c6f103068dacefe42b01276f9f5731e5c6f2b67472dace47544ab93920574e6727613af47b99072e3eb1d5a68a1dea6d084432c29d1eca4bc5251ed5
+GCD = 3
+
+A = 43cc14a533879f7ab876d003a5e4ff19d5155319911733240d2521512c850c292988a2c69760cbfe8a5bd138f96de7d2f8abe799041f94c917dfb7a750b55cd454d12b21c561181f6ebe15b899511f10628fc54778698a5a4f15bc9378b4e7491ef87261f0a50727249c7e126e21cc20a36321f9fca9669f1058a8bc7896b115
+B = -1a0862d017459bc05010f63d69a30fe93753048e39a3af8be2918b70807160b0056dda9b2463c39083bab5521e7e1c89948586d29a58c545b2adf560a7e4353e609c62adacdeee5cb428623ace09631e7b5122dd129b058959809ec892f78fe315fdf1552943dca104346b50d4de532866657a1e4d829f95bd6b83e6af45ac49
+GCD = 1
+
+A = -4ed6004e462fb6082286a72046efb94f9db9b7bbc1a4d1c82db7eca267092625d0325a9e3ad205c01e765b325dd86c4ed0fba4d58c02c0ec7dbdb67ad11b88d4c96fb349ef3058e240b6491948aaeb1023c74f50d3342411dc56c6ce3ce7e84c4cde0c849a197d9f2c58bc97f13939f13553f9fcc6e0929833901679d9e79748
+B = -84fbe26c9e0739e4228a961649dcf8af26d661392008af3e77c4a454a90f4e47ef99c277253f439678f0870142a520fc5a365671790b7eb8b8215410a0fdc95304d1f795c8fed0c41ec208a7e544e98b16cb9268224ebad34124b2d31554320ffaacdc5b3eec2d6a17ecee6adf8657830c63b21ea6b0d9aa05bf95bec0496d78
+GCD = 18
+
+A = -80b9486fd7bdac1ebc36c5187e21961bff9196da51b0f551f3746fc05952fb2277463ee44a97d16c0f7a8b02bda7c1739eaae39514cf741361c9b28b11f54cd0fcd198b5cb5208a910de0ef328b17ee2ac2bbcc87cd9f3226e155f4711f933d61b2eceaa2d57f8b07d0c491c399f727ea42297dfa9c4f181ef9a6b746f0200f7
+B = e5f39906f90605bd6de11c13fa9fd113c3f0cb852538b68101fb824ee36f28864b12242136c92bbb191c19259d063ce8205dd101c5400732b82584dbec0e51d2f14f45510c62c5c0ff67089a548c48b66f2d9f18f19628fa2b3e49860d9ce63abd1609ee6cce54cddfb2d77a4c848620fa8e1d1621552c00aae5a31afc529397
+GCD = 3
+
+A = -e8f32f3a30a2eb10d994eb5cd0bfc247661b24664d5e2fc352e336b23a5bd394c7a3d482b3b69a6e29a0315bcf9229e85a2fe62dd7e29048547ba47ad65abf56c20f7811483ca98a061ad7273676fe0bb5c839ad477688fbb550d008012a09c1f69f11e94a648c210ecca207d0b4867268219f13f45b5edcb2a8ff7067d9e76c
+B = 7a5e98f36054cdeb7498273fbd124659973ec0df401086601c8fdb869785831ac67024c9025e4a80a496c06824758efc37452fac0cef83ff40c36cb0b60078f9daa70d4570375cd0d86d74986536d46834aa7623f9ed64c2d700899d2a9f2a40e2c8f2ad967fb1ae2dc49a7b29a4db3542cee10cf93a6fc6ae8a1b87024a0f20
+GCD = 4
+
+A = d1541dc85654fc89ec4ca1de9406a1d3a9b1b87b02b81026131b99991db35edb82f245c7c53bfc6d4a1d28cbc27496f3ed7a90bffdad4abcca70a39cc4adb978811d424db7604b05cd7fad0f513421df67dd5ff94666b60ae73f4c0ac4cfa128b949c04b25dcbb6a2f218a6e2cf4fdc440be4200d36442d5433756eddedaff4f
+B = -d4db710b33c51067c22cf349399ad31f43f95cca082856621462a9cd3928f1f9fd09f435e04569702e18fb3afbd71ccf2c4b29541ad36a2106a2a2989b7334029740d07cdbf289ad33f04ce81431e5a401cfbb762a69c2279a2e60a4ab7e39a23802c9b5a2729f0549a5951cd74d7abbcc13b80b6e3bd17a59b291af81f7feef
+GCD = 1
+
+A = -8ef899beaf850c3c2010f364235bfdd5fd46060991a5c189d1d77024cc01a616265429e414af6ea0cdc3757d3b5e639842f2521a77f43941a4152a8d277c570194d88b15f713429faeb550efc0a1ded4a9c8e50a8b02e52d4b5f5ca069a61b6cd4b65f3201f49f50a91c60fa38860a04d0a1727f5e90f78029ce1d5838b79002
+B = -cf54c2b60bb0c9d95d52a8c5b75af42d2091861f34fccaa7e56e54e0e417def230bba28b0f32fbd9f68ae8f94b3e2a279e2ca87cc432980b0c6e56a66825e01377b8d88ed4e8df6ef615565ad006a5fece2475661cd02ba2120210f0e970a8c7cd2bab5069170a6613f257294ebd914787757b7cc5890ec5041e0e0aaa1c2cbe
+GCD = 2
+
+A = -60b243ca9b36e6b6fd48323edf6125957cbb16389ea59db94cb990615f9333a64835b1984d4c21386ee83b626d0ce93ad4c2b92d5f43c8693400f7d3be1320bd7ce3fc2ac84ffb0e23b8c283121c75ee1ba85e7dc0c46d8a59b19457b801c429d86e4ba4fbf36c37475eaf12b813018a7f793806a3d5c9561ebd294cef9a8568
+B = 738ef7b58be6b1051adffeca03c058b5a00345bf349d324271c8fc5ae6a320c40f9ee4ebd1e146e078b01d2299c031891e28f0905911aec07dc96a22c776e65e1fc528220e1790c1ef6c734c50c6673a255c4c2e441006619f85a2a79532fc565a3b6ea744fb4a34039c1c396e34a70ec502ac38a7e63ca9adbec823292f7741
+GCD = 1
+
+A = -733affaba63caff2a964198169497944099f9003261b051f46e64f4651d3b164ee764bc66b3eed8da29622502c40295d9cf02aad043892f4ffa61e23c4d0274f1fb64e104db53e2574cf6dd0f3f6aea4aba6a74e6775adb14a82fca016d32bf55263fc34cac209d39b86ceb90c7dc2ffd2626514e106bd827191236263c9165a
+B = e4ffb3b307dc57a949da31c34f38adf9c613880f52736164fcfc443f7fc77fd7fcb12984ab8d18c16e7bb69847ac80cc3b54f2441866e5769b5b137acde112e808619c2fb23dcac75ea15b0ad06fffd7b2a3f00b50390b005d5dc42992da236c242c0887a0b8f518578b3f50de2a4dde6cff5ad8edddd6590b75c8921ce69ae5
+GCD = 1
+
+A = -8c97c1e3b3de021a55e8cec46a29d8d4eb5d6d46067bfbf4daf42fb1dc355fd11bf8b7934fe3e58532e2c3daabf4c4ec11d8450a9e85e826f59d17a049a6446a2d38865634182e4d5338b084a72e30305ed51119495097a19c2bd16c63c185208669b32c72173e911b3ec1d2327591b7060acdaac473e4d8b1b77b16e450d6c9
+B = -3e50e9d30bb5ef2fb3b1d81b5e5a973df2f6bc020fc6ab0ce4393ce5d88151e399a0e888308133315f1f03538c8e0d4c8d75c25fa635f7e68105b531bc40b30c0c2361bd813ebd7a0c8d599f56f5c3a39f829cf850438d3dd0e33e7090d8fef1d1206a98dcb4713a818b1b9eed3872179851ed54f477070f00af38f5ef1d775a
+GCD = 1
+
+A = -8229f5fa645c9c6801e87025feb3fcf0832db4c07fb42aafa583f965c6dd920c54336a873f6d6404d412c81d3af64671f426c98494557929f4ca24b0a2e5621a35c73574c6e10dbf7ed7f1ba9942d5e8ef6edfe0b7219cea78ec41b24d07ca50857abaffa89c3e9992313bfe8d649758613821496a4be878f9392bb2d60c9ab2
+B = a237b3ae870bec995c99cde0268690a5f23171fa2c847cc2fe348bb9442cbe3345298de3042f1748a9d1cdb2c1eaeebd8d8f6f9bd40c858c60a846d7b3d6d5b85f02a657d6dcd70565e87b36f50bb153a13bd1791038eca8a9b796a6046cce7ede4f654126cbdceb8ef7396f9ef0e065d67d6e1a968a18f414947c36a3c536b0
+GCD = 2
+
+A = c6c178aa82e1c2f9f68e8fd33281941348c5099e2adec7486ee5b644916c543305b193a9816c9dc9da8c81f78a02bb0b71ba8c54cbbd9d4ae9cd58e6f667cc00643846fc652e63681af64e59375211e81ee7cf9922e93aac34988417f8f1c87ace781892f8711068161b2efde557d0476bae43de602a47fff059456d92893812
+B = a0f4bc90562601eed2905f4dc02a531b7aeb0bc6ba32df9d763e42aadd46781f6dd92f7fb4ecd1e32fa3bd828d8140f2cfd89c0eb85e03756aba497f81d228199f2f698e2d4f9b53b783c152347215a145744402d89cf21791c2537df76a8ea4ac45775a2ae21ddced0d9bf814e2ae8d75c8efdddf3d115e078c0f1c914ba78a
+GCD = 2
+
+A = -500005757e01917b74069287273a783792ccf6d9b4e9c7d6044ce13f490053af844f0b01b24455156d5a7030af1d4555f0d9ef12dafc4dd6ca3b64c91eab5e3bd974df5920753cbb5d98adbd61c24199c3396da16c8ea34dbe09713e9888dd82be81b881561a7648ae21a8ef990455bbd6aba81424e99087c47d3c48a06b3320
+B = b3c8b18af39f8828d8fe2c239bc940549e994cba15548ea15ce08026466d0a5c6d1929bb87437412516b57bdd9cefbc442385757035f6b92504edcc6f3f7e717c1e5da27c377d326d66fce8e45cfdaa239b9d812ab7b6fbf0e8844f7ce875b257a0b687d5cd6a6fb800d4e07d354fa13afb27c03816a2ce1713c1b293f4b5c18
+GCD = 8
+
+A = a38e1b6cf1b6e1b54531b0f90492791212ad5cc663dae74540899d1e3a1101064d9a0917cbb766e7d78e467088ff3f8537abd747a880e6f270fd906a0344963dc9388cfc3b2446c0ae4a23018f49574bf0665464dc5ea9a3d883fc7980e691e4a41b41dbf15051e5bc65b9bb05638fbd58ac1e4b954b6017afabe2cbda088dfc
+B = -b5208d9377d780fdfb819eb1ba06e5bb41b1aa8f9a0454028054007d0392721f6d33c00d2fa59f203a02033a801af5b8bd7e1f01ab94a6a5212b99c9a86fda0c5338762a16c948cb3ccde5b9502eacc7a463dcd4bf42a2cf7bb4f11e40783ec36079ac2f467365bb01e748244761d897342fafa0fa4a1c3a9bd42b524cc35933
+GCD = 1
+
+A = -3d16bfff0652d3ffa3724c505b999fe53d2c6cb93c2e1b53c964e87d68c3f9ba4688d968441a6af844a534f8cc7fb5701ba2666d9a0cc5c03b50cd158e39c1aec247a0af8638c1089de26695a1fc3d8b294570a9c7ea649be4726e80a4393f8a753b9e8d03e4a40a3df046c64208c72784ca67e451dbd322b8401d1150ead3a4
+B = -63afe6005395093b7fe182a0054419c5c2f4e3724da3fd3e99c91d6166f73b90442521fb0d9f15f506d5458fa104f4f9921b1745001eee3cc7ce3786e28da529d21e7409844a9e4e9c4726613eeee1cc573c9c8b26ef9a775c2ba03611cfbb9d1089f47426be6b3c0c6a1991a06d051230a25e12c94d6532dba66d8ea7afa540
+GCD = 4
+
+A = -5598f5c9e242569279c3e39d7d1aafd068cd314e091419b6752c77aea6518655a44958ff980898642136cb68ff8023efd6139c9aa832867eadc607598b3514b016392ec831abf678ea80a4c845475f180196b4e72d8e56f04f9f7d4616f1194dcff5265dc7b70d399bbf0bc1328ba4311e40c01054d167e568c8c7935a7ddd97
+B = 62521775d4a8548ad2c69d6e8a5e6ee2dbee7eaeefa344979e7fcc275de18dbea1ac9d3e232b7e8e0b6dcc3f467117f6a9767395ce32daac2feef7474349cb2529334e7b1696676f6ced8d0cf4fd7ea3ab32d50742079232419583f239eb68a9069e837f6bf60bf3775552fecb1db529994cb602c30f4ef3fc41b2f11e21d994
+GCD = 1
+
+A = 816608444e008059f116f9fcf67df60560f4acb07502804983609ccd9fd92662b8ba78b50eaf836aff2eb3f311a9e96995b3909012503d321d7d0bd72f5d8314afe3c23b4dfe9bd40cb55d2b1c5b7d142404fe2f8609f16c6c3498dc3485c3521309da2cd0dad8fd10fba7ddc90d632e01e4f03924e762025712d192cfd6f412
+B = eeaa92e3ffb212ed9f194689fe3458715e5e43fb0796ffe63033cc5cf3a070c71a31f57e3333e4de9510a8679685ab5afb494b2d61c64f8e10ca89bd75e271d235bf6221913c14fabcd35204e72ae738c43b2d80a7bd7d0aced8d292445a85a90b4afe7b0fb8f12382cc4c3a75d306b66dc61a2cdb49ee52a19150c6462cfe07
+GCD = 1
+
+A = 5c90c251515c2c1cdfa38a6b7b9f58ca0f6d31bb868774189cb18edac9de86114e72108d07d09541a651bde54f179ef022d77ab15045fdd65e791e1be31375799d497019c9163d16580f67010344aab3829b2ef93abcaf62be6bfa411f04ccc0968dc42a1cc1ac004fcc3957d91f4a970088d3bb57e6359c80d4b9179b5e5565
+B = 92d8ccc069e840b3fedc5dbb0abd6fae25ee702793f42d9d3dffa73e724aaf52451a525bb5e0c5e3c019904d3577c97ac47561c237dee5550f4ea5daf6fc1fb21bd30583cee44554770dc81e9ab41a64bf7fdcb48eea17af80b348b4b0ca8c90dae675a7e216cd50c05d54ba3c1684d9adc83fb99d1adb99793651185e5a1886
+GCD = 1
+
+A = c861db2bb040f3855e42fe369139bf5e8e01f03cacd4e4d120b1fe14cf3e2744efa751a661a882e993360c678fad65782c5245e355d2539b9319a3c54e0bc0bb1f3c2f6dd7af7c206ac4fcfde5daccd5ee4152d23fce78ef8f6c7fa3b475a2bcd3cd9b2b3528b7d6942fad89246fdf51f156f4d64a315655fd02ab817851bd46
+B = 65f2fec5abe10ef65207bcdaac8dde26be064fb559e73e821573416594c8348e48dbec702f5d2cb44f6c3d74da8466bafc5c470fd3bdc8fb1acb9cbc8f7d2236fdbce057fbf4433f02b1e8591e14fb06b66863a48074fcd0d5a1fe55ecc525e59fbcb08f937ba8ccb0905f748894d35e3531a5921c1af9af1ed3293273686007
+GCD = 1
+
+A = -4202ba4ee82cdcea8ee6df869fb9444ed38b1037fd137246b138cb8f494b5c361e24d620d8c7e6b269c72c30150b34cfd1d94d912676e3b8d275b91189c0969781e508e478232288c04a0ec7c4405b144d4e83aa639fe0caf6b67cbdef8c2d8ae56d410136c23ebee40acb2ef56e3be8e8d42045e728a07aac76e991032faf1e
+B = 95c44b59395040ef34bb977b84eb0b64653bd3236a7c5ff729163909f85ace02990dd4c7d97bf7bec6c72db02c67c66606678f7ed89ad962fee26d76539d7b45b658c613c75ba9dec551e47550494894f4af1f384a27ca0eb7e5501dd5f9ea431f14c83a170c409e6a87f11b636f6f36a7e04c28c3a869d54873e0cdc2bba09
+GCD = 7
+
+A = 30db8ba02221849ec72ce02129ddd99f029e35609b432ac840d9af5a7c1ea2abf54b82652486733fb0a4b11bc40ca6498407a3fb5438f5a1c663b722b1b1232c2babfab2b228c309d3893a9ad23e5e77753da94aa6fb5bfb61167529f7a1b5b7d8110abee949b78726e2008e775ee71f94d87a327f897ea2f77951ff33d60cdc
+B = -afa0403f5b009663bb639424d9ae0313d004cd2aa148d0e90b0e513eca64c4eeac3f45894ecc31fb39e74f6296abfe9917a77e5c2c3291d7864375e9dbe600603707afdd0d356b8b1e2b23f2423314be614302d27148a56b0a62abe48f52c19b8b1acac98311ddc7db9ac20d8fb296e331fe2d752617ca5c4542dd89c1d8a235
+GCD = 1
+
+A = -f84afb555df4a59e9ca24567f9515e0cfe5bdb0978346024b1bd901ccb31e83d2cb3e6ac9f815c4b0cdec3d67063f28bf132f9abeee6c2e0c607463f12206776e344fcf63f18a1ac1f3ba15d10a7df881611cfb60acf97a6f37c577ba1022744862a1c5df18890667590476963db2aa8c40d40d7bd1927f475716f72e8978215
+B = 5a49e2a60f0477745125b1f1b4eb64ba6999cb07d09afbc3a718d66af7804aa0d834e0d654314f6b44cf7c8f354ef695bc363d0580406489d04de1490c98380a6539cf1c145acdbf9877c8e59fb53acd8aecd8a3a8d1509c69899b75319eb252f0f5dbdf544fcb35d333aebd162adccb47533e6657d1f04cf41e7b79aed44069
+GCD = 1
+
+A = 3044a938a096cdeb4d3579789fd1a15d44c7ac60438f40bc6efde1229f7aa287908719473ca590105c5c439b0f9b341db95fb7aab7a50a69214d987e1b73bb804bc7a2fb47422a9ca06df3e6e73f0b875d35ca15e31281b100401b739b6ab1bc4657c32f78185e07949186f94776d83032d8b5de744080e9fc98287141a151d
+B = -fca7a3eebf0e4bfd851ffcccab2cd802b971d251547b74bb7cb8985cc1d681d67528635109ccbb656139b16bb177cc8c2fcc71f52df44035ca15341cb208643abd78979208a3a9874473d78d7827454df0bb04ea92811afc264f08d28a6d6e5537b042d24459816a35edc3f549481e6ff75c74417f680e273c54d794721fcf8e
+GCD = 5
+
+A = 454e13f0954930b3ae6e2dfd34c434ed6d29ffbc4488136d1bdca898b220980c2e2c697ac95e8e09f4d5cce2da2494c09db889d2e4ab73e2744d6729059b22fb5d91b9a592839ca84afe0722cbb397c17eeb0c8bc8477592a38892d757ee30256c88f78caef2427b5763be560c6d92b5b944858c9df191dbca884d241743074c
+B = a9b93a47d05aacbcf95ab7c94e1b35842ce8d6d9cf3cf163e7634e7181fb8d898bd830c2a450f26ab5bf01861845edc3626422f821da53ec7ec2720d0567b2a114c131b7d94454026e9dedf722fae83045ea7a735856b492aff536ff8826c2392f862b54e28a1b004b1be5925c44ba8a536002fdf6e3a99af04be4484a505b7b
+GCD = 3
+
+A = -39da7ea5f607693f629305109147bd579c48503ae33261e78fb55821fcb51f7de1a4f11275b8092baef9e4e782235f75638e56c223ce17c5a168709284461bde012f99246e42a90477dbdcf0be39458ddffaaf2266766f0ff9b75c05531b394fa134b3cd9e69fdf38aae23748dd21c969af1b7cd512311ec99b2eee65d4dee3d
+B = -505797fc6134c0838b6c76401bd7ba25e107bd2310d0c1cd6396d03fc7bde8c7f847c448b1876969f91363157739c4b16e71f3cd917b3924c9f8f32ace43b231458e77ca8f6e4a716f300b05718cc92e02a48203d8ce12dd8511b8c8f395595fc0691a4fa2962958a55cb46b84e0fe3fc2ec37d5ef1b6b9599cf11edff254ddd
+GCD = 1
+
+A = a66e1450eeb5e973b2b7d3cc2ef894d252d5aae380ca8bb6b7efd4d79b89827545dc96c4327e19dd918429fb293eb976a8bc74c55548392a1135f40863ed7e7cf3a989d0e9b0a1c9227ca5df20aa5b67506b9f0d5bf29a3ca566355cff7c37fc55eecc95873021b8d81e8136b806231d8300ec1551b153ab6de25910314c8c3e
+B = -3d5907a265fe552ffa02fb4fa2b786f8540d46f3e8cc6e0cfd12532a14a0c4b25803cdc1a4ff68950226451662a958f16b158f16476b4bc7074f08ed9846993975b6c70fa10fa64c3c5bd8626297c784534157f120989e53ad8c7dc61fa0742aace310111912165aff92416b03a29b34893efcea6f63419df46f713abe701963
+GCD = 3
+
+A = -619b87b3fa88453527005e0568d4a1e69f33072bad4093732d4519af4345d974ca845bdf225012e6c9520c30fa1d4ddd6a4da4e724e32713b134b09b88cba5461dece95e19824e105d75ff6360b319b22c8c8807eaebb118dd1089f1318c386ac6743920025597964e6e9ef5d38dd979d312eadce887030b029cf8fd2bb9f264
+B = -84260bcd7657972590f32e5bebb4fafd5622f9c5c0ea7d14e31d5e040300b04fe17fdc8ce4d33e20ffb11d923b8109d9b2240284b9c929dd99182fd5b9dded803cd2e0df7c5aa0aeaa3a37c4ba755b399cdeec569f21ca541873ee807771bc02a7106fe1bdf6fe2ce84e1a0d8dd67f5f99b4d6328621631d26441257da14b0d4
+GCD = 4
+
+A = -7f0fac4bb9bbbcc4a996836bb8d21d4a17a77b17a7aa5078b8948bab72ba707e714fec911988b22f3ccc912fd1b972ee9846a20666479a22a4fe82cc285c13528117004462b44a2a9c60f51aa3dd360e64009abea5fde183d498a00aff0e763d821d1b647cbdf55305be9ca2610a950c1c9b9fc71abf975cb21c208f899bbb6d
+B = -111bf64821ca5c6654ae4c11ca1b0f45db3848fa0ceed695046ac4dd46d2370b31c49ee104d98de64fc2392507bc4c73eeb1b721bc90dca88089f856ec584f8c6841ead8700b32c26870704696c3800ed0f0a7c4781f686e48939f7f09807e9dad9bf633b71f7d93ab2b88d35353f9f15ee2b59f126be18469820b6e7288e952
+GCD = 1
+
+A = -d73352d32f5009fafec3e83e40550d6bb5d5e55ea5ad4057531a8ac6a5999d10ca2fc0d02399b09eb9cd633728a34cae68eca6cd59d9028c93718aa513ce473574a81dd15f49c78f9c0d143a507619ce9b4aaa8e34f99d427e69ed18d5e019c2ce434d159bcf8ec687ef7a335fee06a9375f074ee49f00c27acdddc7c900c2d4
+B = -51b25820f5bf8d98b397bc5b13bc5dc31bb3bf0240b469da77938e112fb53291750e858f4d6bc9d676b70708aad68d923752255ef6ff9b455a127c3b3323b711764fb8f0678b9b2899dbd60b38742a298e1b0663c5fe96158f9944a904df0b55b59674f3e9a142e5783df01164066842dd07ba7bf5a2fa4f7bc2c93ca96cf7b6
+GCD = 2
+
+A = 6153c1de8eb590ee60cac8ec423321caf49ca270e09f2b22fa5cfa725db98c7a7c1bf741866858f097ff5522c1da7bcbfb505a8ef9fbc62b94d1b111f4adf91d7335773d09c79e55932d5de56d334de4249c6df22185e616502520c643a2d4fcce9209287c4405604463c9a95343d55393c9df09d7f96621f01aba3bcbb263fe
+B = -fbb6c9d45a7b7f74e680c61099231fd6d66858cf104996eb06322babaf954021366f37b47f0a8b8ac2d1cec7b74123bc975bd2628df9ca4a707b74610e05954187ae765757d166ffc38eb57e5f8d15ead55b9f6e802886410e020b62e1bc9540791f1d87a09f2c6d402bd5ec3402b7605ff61354acd0ef41473f6478fc658f83
+GCD = 1
+
+A = -574d2cf9ff62560ecde9af20d6d265abb5b3c96f0a169d23c99ff046f1420300a3efae574742e9c8cc100eb70e2711f4e15fce237d8b6d72ef2ae8b3058ee750013a862eadd720ab8d89a82951b58b82a61d2035adfc109abea315f362a38bde5fa8ecd7d51286ad61241040ede5da5bf539dc777c7e0cfd87146ed54653533f
+B = -448f6ae189500de5e85a5a41edc39b9b6c9e1d750c917f843df94d65cbc86eca46ba7f68603c5f7866a351090e9c65a540ad843a19a4350cb65e989e0e0ebca7ca056c97138fac06bebeafdc33dc672587c5e98a0f390645b583434000e1bf56d72752ff6b920653f09be6130c70a69df1c55446ed75aad63dbddbc76327988b
+GCD = 1
+
+A = -dcfa2f0c71c5d49ba462781a383deb21d22c1b40e95d3f8a97549533abf3c00d9531a1e6f43205d77a723bcfde5ec684b025fdfd182d95db38234c368953e67974fb165322a8903d51b358fbc4c9c03fe80cae5c0a93f4beabc787b8b5a56b90784b7861ab0ec588eca15c666bde4f6d9f838d966a14f8c1fc3b1378d047020
+B = 19a441b933f2b7301a5c87f7b270af630cd4667c7d587d4953e18d33e7c483706507bef68df702e9a6d778a9d3cc84c35a1f058fad8801cbb23f0d3f58e6dc890cf236fa5a9e53961cb89042f07b942cdfd3583a6e4ec6fc88f4937c6189b4dd5c198838fd8977f268de39b6b1ac49f291ba8512ec5ece81f8a57bfd0296aa77
+GCD = 1
+
+A = 2bdf5ef23c35d77343a6e5b545ce767178c6691e4bb5544bf4e5b2516a55f167823a1086f7bf8e0ea8a77f05a7aba5265809ea26d5d4b674b7eaee7daf188cb1db6ea09d2ce71f308d1ff0196d3cf6fcec018885127719d1a78ee27713e9c6c680632dc7e7fdb178f226c484a326bf66641d51cbe086dee1e83f42f5cf1fce57
+B = fdd6ecd8f5ecb061a73ee46278831b7290ae9091d0a32b0c47f99c1f7eda9a53f315ca6e9856594e642f2c14e839ff7175202f8da657212a9267db09eb9324e0010c6d72a7a10c50cfcd234b32607501b0b3b9452e68e87399c41e466b759bd08ac1fa8f08d646a008a8a151b49d487c9ac659e37d96a6dab3244c1d686ce14e
+GCD = 1
+
+A = 18c12b494b0f1916cf8ed47ff8aab286645b3ec752e5969d0a13daf2bee2d10770eeb6247f4e44b789492db476ac11514caff3d49d19cc3ac75d95a07333b9c273b246a08ce424b4d56d406b73a50f08ea2a09b67d3806387c3769efa7fc434a91317782e3b312591b5d25566fb2dd0f3c1bde31b371320613b5acbf13136f88
+B = 7eabc7819faf0d0c01a03c2027cbc938381b3546cb174d45a89af73aae10695a4f4dc820a966249e8c14987dae5bb547cf1025f70ddd7861d71e104d4012e92058ab2621192b1c1e0446eb852a5639821663720cee0ac48391eb2e54fde09aed432334e414e096570f13937f3d20d9b5aa939970d89e6b0130615f020675545c
+GCD = 4
+
+A = 6200bc875c3d4db509932873eaa4ad935b2a479078bb291132897ef445078ad2da29a94033fd909c477a868b43fc0209e5bb148b45a0638b086fa7e867a48ba00967f5244e2492b929d7eb2d840074eaf138deb3a47a4c1c97450428160e9dd489a48714ae505f73a3af06970110c3a2afd89f8c9c933531867c60969712fc6f
+B = -aefb9703388710ec605c6133bf12c0624694748d57b79b0d4ed4f351e02f345c9ff4162b5931c0d4ef36dee9e666cf833523b9ad881b7e1ebf591c5294367fe72d28ec4b92ae20a338854da9c7ff33544d66470bb2072ae86f07257e59d596329a558add940b9ddd9a29ab7dac275d50552de28531eed89e67ae7275a9f082b8
+GCD = 1
+
+A = c390d7788498e438568134f52451b10a0bddccba32a0274b4d939a804e8ca1e4e59c58f2b56148a04d7b769e0524627c744f76961c03c85e6f60f219c139065dc143c1c452d99997b6255a270257e83a296fd77f5044812f89ea818c54bfe1b075923286147ba3008ca05d749903b51332a63c3e0c6dbcb8b0c5692ea773e193
+B = 3cb3129974e2d4c6f4cd64475e020c669499501aba17a17b11ea6a51a5bed7f3bef8c880683a219939ec481b28b8865039d1ac2c5985457f28f96bdff900005e27e8e067f72785a5eb4fd657232c1596072ff8b32eda2177d40fe8b65f66accebc474a452c9647e279a8335ba67e2d5e95a706afacfacc04e7a63c0b67bdef66
+GCD = 3
+
+A = -87e2ab1bf32647d6f72cfac20a2e4c55c1fcaa20ab76dd1234c6bc3a0a0ba695de6d56c1ef1cc81b500d6430350f23036413c56628e9cf71e62d55135ebaae0e2e7af474a5292dc9254d1eb215126f94f2b74bdb29bf486b4b85d1ccc88da9f792738ed7e8e167e88fff53d871e5204937982984b5d72a51ff89679f9ad54508
+B = 6c13ed0236912c7e5aabf1ae54178a47a9d21ee0c3924dc699107be6867bf376ed6c1d8949f1b5f4611ed539d89459c8c24c642840864ea26cf53409379a3ea7569ae7633eca1b5259104c144362e48becf00bd27bac0162f6d8b0693e8eed04e5606d4715a692273942f2fd8c27586b4453ad31e96eecb0f4b075f1343d49e
+GCD = 2
+
+A = 62e81a546ab83254c10061e8f8153e1e19e412306fdf3b5bb348fc7620b6813109b3d9ce760fc1907ba1623faae111ce7a0b978a12b3b21798830fc6285ab14448aacf3596dc21cb060bb71bb4fa2cc7ad52ccbd7f83e78f3294b1913628c6b34cea9f72550757297e12b6b8df548f9645804282ee49845494fa0b7ba9a59ad7
+B = 47411a2f25c67809865dbee588cb8533e243bff4413bb01ef1c17875fc3d77c92fed10136039f01113a658c1534593bf18888f34318f6c942dd34e082f0d9094a438ed10ab7eb119d5a2f742685ff1d76aa546f7f55afc9b82d52776e43a88dd9db442187039e4360a1f7544b53e3630c39f681323652e08ebb4706bf5d10802
+GCD = 1
+
+A = a67bbf5bb5e2d370f27e98d964ff06d441422f7fa02676db1795de9355dd5cc57f4840abfb9efeb86f052153cb9846b82e6d133bfce07388d598faf1fe598be9ccf4ff74d8e7635031b0bf89e430e75e03be06e0e3f7758d402430ad31c58a873c57c7ed3ec290501e8fdfb6251520d483703d2aa079cd1dd07fe48f41dfba46
+B = b6b795eda9c4d88855db1f32bf6c914b9a259fbf392972f0a78158dd5be4e2df99e13010133b235139e8e1fec87a9668500f15ce2aae170c17760e76f024a468ddc6e40c713916ddec1ae28e18ff3e5382996a953e7f586fcbf18c4e3e14f58b14e95affb79905b763d38b618c6830beced0719b3d0f91073aede8a08b14b36f
+GCD = 1
+
+A = 60106e517082f29c14931a457aaa583fb9bb429a4153cf74d3a2e42aac8b618e2e64e930e035db9245a89ee1dd2865b2d6570feb8483a7809a174736e17d688fe913280c4ef1273ef44ed797ac9416721f8d17d4be0d5589338f6dcabe05c48b706d754bf7241dad172999a78cfcc27b46cb95f2c1e771843619d3e44fe370f3
+B = b0f3981e6d0a08d26f381b21530e4a35c5e7de444bbe0f4ba48a6a3339529383daaee7373f36a2df0324ef768b0ba9ce800babd233f4fb9e021e4ff06f96f4f4ccb04b6f5683b98dfd060c71264fad4926a2280d49fbb0fabe1c062917cf9adc996a20ec140a6fc253311b2385809bf533e8509efe7f6bfc96f874d688b74fda
+GCD = 1
+
+A = 49080f966745287e68b82e29bcc54fbc2df5aba1846cd31acaef733ed542b6cbeaff66b7011e28a7875b90543221949f0d9d84554a68ce146553ac1e886da795c19f6118d1d1ea3ed75cc584c1505063404a54fd7eabd3441037b138cbad96fe5729beaf8ad4000f174e0e2ed4a1dface3fb74e35c10fc5eede398de1a76f50d
+B = -ee87023b465c59b2a24c7c0c31504bf2c6550ea8aaad3b8b3d20e0fa646786678a2f0a00b534d8a7e300214b31d85171eb053a5404e5d784b13f9af16945d016c2d59dd0c4903c139d581ea546d82b72384108e8f7261b746f67d2e19aa41febf2c53b2ef470410b7044d4df30ce37c15d501d46d7654f969b2c146428175774
+GCD = 1
+
+A = -2f2578e32586590c8cde13cef25e1005c0f1583a1e208ed6603390db8ccc71b846297ffd0029c58af2d2882b767bc5be05d514b3a0a3addb09771f881ecf635c5d10117b150745d385f689d7b1ef4096696f1d1d44b0be51cb2a329db0d7fca98b8411b8cb307dbc57011633f59712463426b20c694828710bd37a846b4fe9d9
+B = 829c7ab5dacd008be39a74eff2152102ce10e97aa310a32cd3578d76d5e05800f8023f48d6cd71716a2e0f0933d54b88b3c16d1fcbcfebf786d6a28de7cd0308a73a44be86231b55f5377200023d432c9c04d82c09c20dba866f10998bbfbc62d14fa685f76c1db581939fc5d6812e770b7758befc37ba5e044f2a953e558705
+GCD = e1
+
+A = -6ebe34f64732da4e4c6e41ff14dd29b0ad338d2346525c0b2254f8619d40d7cbe9e952c3343117ae0e646cf8e97fd5d2b69f177aa83bcff3804999a95fb5d26f3d94e125fcbe36c0fc62ab20185c433d3cf1cc16234e8176a14209560bc07f24fdf97f9e49e73ff722c4a3bce7db63d63b9f552fad71600f9ad8fca4ba644538
+B = 9e7cc1a655037c6c4e2a519426f9405e1335ef92a54ef5b5926c0d5855ad6b7e8197e21ef3c3c8c0e92d0278f5737a7335099a6fd6e09109bd004745f6ddea7686afdafc6ec495f9b10def94f0c6c716d63596c08d73ea096c6ef7fc8715656c9749dbaab2e31b29f7cceee3690b7e3ca1cd45444f388b6a75f58788d6bce1fd
+GCD = 3
+
+A = ac5bb94f0cdde0558bba2022dae58d439761fd6cd94446a60ca949405375cf5f5b2b98d986f7d669c49ff343bce792ef9ba87a9b415e70f2a76e926adc970c6f13a854ce5b486f929b4d29bb69f6f2068cb32ce693a23127af06ca8f5b3da0fc8eb1fb3d1136fb22c35c8d93a6228cb1f9ad6387f772a07ce7036377437cdbad
+B = aa9cf693451c73a70363ed820aeeb9e54835a27f23a68c25aff34c6c3bb4d21cef73eacb85fecc51bd98f0bdbbb1cd81b8052559da5bb9fe5eaabb46307491d46cc0e60ff83fd0358b100b672789de6317efd7299f9ca65194afc220ffcb1723fcd154920526ad890e55de6b8d597284f712e984fb896a6880f707835be4c910
+GCD = 1
+
+A = c53c947d31f4b3424a8ae10636fde67e80b900feb575c7d93b230d827c793e13051a58b3db0773681bece8ab094ba492d8af1abee4a87ccaa237c762af2a09d37088ebe16115dbe2ece992c286aa6fd6eab4e51f90fe4fd34f471ce25ba53b97db5850cee9b1d7749a2a6e0ab99ca0896b37d26caec5ea0a162565787888989e
+B = 7b2171cf36fb8900419b63f25b77a67016bf72cd3b140e9f3819fb1bb4a346014a85038739693b7f106ceb3a9dda3c8bafb52091e6c74fce337b5d6d4549f016eecad9278bd51b804e901dcb453c8abab3c617fac8129db06b178bbfdf63970ce4604433a902066c10552b0682bf7c87a27f6429ffd9c362eb7d7ddcb4988fa8
+GCD = 6
+
+A = -be8c7b2bf91b752a35a44f1f31d189daee9f1c5b91fd68be66e4e3b775eba0c920e761cdf941133083cc116469ff69400cb0341af694d7bb23a0c1684157ebae9779ec55069a502c535021df1c0db9c22d95fe58c8d96ec8c68c1b0160845567fcb4076010b28ef41d050dabb6686a4be2644b16d26694acd34bf6561651c0ed
+B = -91f629dcf66ff63ea7bc22226857b49876eb216fb4fbaba1c253961ac2520c0dfa78518c2cff8022a27d890d8146fd89b2de5ce81b10e9d4fe5ae1d63fb01db53276351be7904694b7ae38c26fc35c37c4a947cbf73bd1dd17b701c3277298c600831a50c367f94d591f05a5aad66e73e2e2da4eefa0160452fd9732013597d
+GCD = 1
+
+A = -df9ad16c807289807764f63d0027ce58b2cd8d37e8161b8ce8372e26725b01b0e87cae054f611763adb9c5a81adad51821e03833c1c073344295b2e0b1e52aa8824d3e0a3de44f78c7531ad8b291f518f3dbb0e4bda591e18051a97b6a71c390304699d4b69158eef420eca18d4acfd24a933b984bf29664d44cb07182e94f86
+B = 53881209b54e0e2ee9d6f7ee905e8eb9afffe060708d8b721e24cdf7058be3b2661ad02707040af99e1e28c2ba3025ce2b1e37dac2af8c2dded84a5b7e90121893c393c8dcd461f77b542cb6851a7a2d74bcae1847ccc19722b869205315e5f23c80df18a6f40e20b60f926cb66ea32ee5257f12ae6d5a08e56525c8099adbb2
+GCD = 2
+
+A = 109957dce99696dc3c46a5bc784623778e3a5336e55b3d5d4bfcc1ea7823606b303b0490b922d1c1c79f7103931ac0148fc96ae0ed28cae06d8d2782df4e1b55d6ed99a8efb9e4f48561038b5b4190cb4d8536c32ba19058bfcc28e372395cb81bb381c4057dbd6b243f6c56063ae0ed3b122a3c7991ef71df93be71aaa21c77
+B = -d362c327be67bf57bfdd7865641fb35e65b7d956decb52fc6f68272ea65caa59a988db0fb0094a3ade660b84e82fe54bc4b2f423b4107a9dffdab699b73c7043b561b7a913331c61057bc4b861476cbf61e6092a4430b846d353d448172d2df7099b93320af3e1940e12d001e66252b5e1dd37d643c2913a6ba791c63f67614a
+GCD = 1
+
+A = 74bf95ed69a2fa141c60132454bcafcd7129898e9c47517f8a92166f70f5fb8bf04822be8f5d10e7ebeea87caa43df1aeabff75c21ea5f210919e16c89040eeb919da568f91be49c7fecfbde5f220b6e3169996eae8cddc818b06b999c1725ae5ec8097125ccbba12e8173ecff268823618d1179d727b64033d080b07fae693b
+B = -5e05bfae1bdc6b323e206083241686ae0dd51247127fb1194c31b0a831e5a0ff90eecf6afb62497e670d28265352d17d230691aea9c5c9aaf4d88e3cf45c8a9e18dad2310357354c6acd7d2028705ab36f92f0af8d6b975a6e10ce2ed991b3cbb01218361d54206a386b2310e49ce1c26c2998e0dcaacab6edb88854a13e5ca9
+GCD = 1
+
+A = ad1b5bba8c641e28f2564e6169c8cda845327eb2f3195bc4b1c85849c086d12a03e560eaf2ade0f1a823c9b30073aef5594b06b0aaea40cccd253cb87c752252c1a5387b62be6a42f92b13ca302deb94ae9e214a263572f4df8be343da759257f507e7d095baf792d51f57c4b70614d4f0f46a32ee403cec8599589ffcfdf17f
+B = 3c0b273ff69a31a0631713e98421bc68612eb589f5f6381378ebb42462225c62e308400bc06610f941a1dd0a18993c38db541e1ec6cc673406b53bc8804a9f40ca20eb42bd43d2799782807624d81799df7e887b2b996d031a7cc2f8f4905fc88e3342f39d68cca6780de50c7ee9268d3f87477650209d1f2a193244857e5e64
+GCD = 1
+
+A = -1765c51d99ec0fd64d6249cb0c8548b59a4e4cc55d35e9eb68fce159d01a035bba9fce5a8d5dcf5f82db7777adfafa598c5753fac278b8f34741cdd4e36baed37d088e0a09b1ba7b6c5794c4e40d677838ce0225be0de200dbcb0b6b5096667f59dab436e1a0342320f2c64630bdc53d069269fb1910c53a2f1ce2d8edf1043d
+B = -ecb2d9c6b9e4845c5ccc4ca1bb538c3b1d4b6fd440126bdc7308c6242719ccfd7ebbdfc3dabde158d4aab7858460a37de5a191680da4c94bab9d2a25a6529be585b54efec599d62d3a475ce943a7476c9849a888b6d7a6fad60d1cae786c3cd32dc6bb3fec1bdcb47edf92cf00fa3fb3a3643a1cb3db9496122b1ab88fb239d6
+GCD = 1
+
+A = 544e92babdcacabfdca63c6949f88ec4ada3ba0afae53586719acefd5c9246f211e1b46b0cf893fa755945ec2a09a26728b2e35e3c09aecb8407d5d8a01eab121dc006ce18bcef5e3144f64a328a5d1805bcdd5eaff50efd3a124b4ec6632298c121adb712cf0336d6b43ecb5333f918bde61c0a2ee166079b9b193089ceb32f
+B = -ec25a3c75d4d7453951c2f08a676c2b32bf9efc321fe0c3114b9284f5edebdcdc991270588bd539edd9679179e8a8112843fb7ee3049042c216f4b57d8c0a6a4d26acc7f65736a6b390975e0a5f21a1a003852aaa8ee5d4b09cba188f2fed5d71fa0fc11ce4fda6c9247b899381c88b416539548bc47b6d28f51312e15e0d186
+GCD = 1
+
+A = 8af4d6588f782ff57335ebb4683adcdd2e75dda35f17e0b6f559784cc8e079bc30d78a2777208c9524843e1de365df5c05343781b65ece72b6a0795f1bcd87cf8e2a2c74e42cd7fb302e64813353aa9c08b5db4da96276346d1779f89f16f47dc26fa12e9e2eb96f1aeaf61988f49824982309b3ff88e8ec5616387b5a26c342
+B = -9213f21fc297f638959e6de8608295b055ed5432d2ada370597bb5b0a31a532bb259bb6651510893e1e1817bab8ea939c05b62a6d3d52f7c0048d0d90d9101fe6d639d75f21c22ee4f6336fb9a680f9aea0824cf898fd0577faf65c0d035c9851405255f3cf9fab840089658cdded4a76cc2cfbb40927d05f73cef4fe709b83b
+GCD = 1
+
+A = -40b9aa04e53a7c697c3f9b597d6995bdb9560e1943e58e976ba3cad7c058991772b989e1425879ed4223b3c9d5be48b9cf79d045305cf9952b6a152d4bac31edccff549e56cf399d1743cce33d7b5a4d777abc2828b015f02035dbf097ff09315304a1eecb45509ce99da5909454a77e8adbc072b1a7440c8f61ae443affb386
+B = -a9af9c0800dddd44f43882bade9fe97a00fece843c319004e5e1d74c70b1075b651be6eb1cad2d685137d2d66f3a5fc0466e17078f13172debc708b6c2300620e29b3f72cb1e95bd47fd67f3e11c822ede6a279ec2aac2ce0758b0da2bd205bb7d4e4b6fb2212f01269c658bc3fd70fad5d95ef82e45c1ab7528aaaf8f0472c7
+GCD = 1
+
+A = -9e67377c24b7f6b9afc2245056d1b0246d4fc6e76c612fb1a54c6ca9ec33691de0fe9e8fa1cca3c4d3d45b80eabeaacec3c2281f7ab01fd2f8101a21ce217bbee62aeb5121ebad8d380a42df78432f829c50e18ed4dafbe648fbc1c6d754595a27a19b9e44e737af6b49ab47cd628e48d540f2f24923211a88860fcc3634a6f5
+B = -b35a48b380ef0f9440f2c577b1b774c9474bdde01b21313376412a7d52c6be642c21b6170d9bad7a4ba9d125cbaa9e4a87527fa0e145e8a97633613644afae42a2ab2ca530ddfc2e33632ef0a42e8cb08486555c27bc89b156195e55d3ccaa552d6168eec126485234edbc517c60af81c40847eb834c9640caac7d9e083a9c33
+GCD = 1
+
+A = -1dedb6393bcfec75b54d0206539cdeef4bb141bf96d1ecde15a7f9fd82392ed6cb838df37a503646c0e9ce00653e66538f798949f1ceec2abf4cb67a62be4ed8a128221d0017c36f5f204187181937b1e0399801edc2c9101d20bc4484d7a3f7638328b842fe5e2c07487acb9531e15e54510ab42c5878b53b750867cdfa0069
+B = 164741f045a849e2cc4bab01946e57721b49ee7ec01b1ec4728f0918580271fc97bc82183b053c47c60ebd146c1206d2af6be1533113fd9b19c9e1a002941e8c843067022c4c6acf7284dffc8c2aa7f8ffd6d145af0497cd48143593e0be23c628a2a90069d310f7c81d4c398f5a7c88b236584c45eac14d2b4c33c3ab7a09b2
+GCD = 1
+
+A = -cbd51213a9b0f3337a4bad0440002cc8aec8a251e2bff581aead81c896ab4f289be102f6b3c5cdb7ff48c2a8b589237adbcc5d3f5e5979bf09428242c47dfefea54b2ae0fa4317eeaa59cedcdd178038c6ee58ff61b1dc944716144de7913d36262775fc83bcdfb01fc751befb0dc0e67c4da2895979521c3b39788fd65be0b2
+B = 627ce2c0a30033724a49f01d9f0e9ddd72e8d6c8699fc227f581f0b44d70f2056690250f2d78d7abe98314903e5b3b16ceccb00512daebcce268d6ec2dc308e2d717055b351141ca9067e59541605079edf26916ed00a29347a7a337145f8bf9aa76d419f4487c2ef8b6bf78fd7501e691dc952031918036593e491cb87137ed
+GCD = 1
+
+A = -1638b7584c4569de34d87c6f8d034d6df0886a054d5c5642d53f11dbdcba47d36d2e24fa1c5ed0388e1a8ae0edf5237a09ce29637861350a9bb5b3b29d040fdd990008a72f49db40342f566ed246eee87c85664bb72dfb27e8b3cd09b981c31f055638cb574d79be7a473d99b57c491d95d4666d572edc5d667776c9870c656d
+B = -4796bcb8d5146f6d61db50f13ae2eabc45db83dc0860dfef2ad5cad4935d97c85c04545677e552a6e904f60b24765cb2e1f1b31ad975c4e244571b31a6dc5e2801815e7385ecbc4b55d96395b60a8b57d3a848f0cedd2438022116c90a5e96de6f6b43b6930359eb4bb7f7f705af8cbc555d5e28d085fddbb8be65033e5fdd71
+GCD = 19
+
+A = 18eafe6ee3100b8b79b6da5a4b5d774c3c7f9d93d323ad7a7b3256c163a09ae66ae998428c7afe7c3bc7824910d75e43bcf8a7613a6f67254cc3ef7f0b0e00beef0c68be3f2a64c9796cbec78ba0921e281e7ba36a2f55472345f30dc5e631119bf0779987ad50f38736aedabac6b27e884537a07fac6ac4f7d93bb2521273eb
+B = -8e8dd2dfeb32af3d3e94aaddf05add63797c5b481bcb2ddddc3ce26acdc72a5dd5050f2a800fca4ae405f255013d2b95e6e73e8f7d2c5c6c638da8cb6924002f6364e03b9b6fb183954049097d2b40ddb3f9cfa25c07b78e6c5a9cae94424c6009d631e9f4756401adbd4b48270105d9fb31f168e237f2156225a5512e6a1efd
+GCD = 1
+
+A = -ec8c435e15d86278a926c5c4657da8974a0e53c506ddfc88c3b1baaee0dcb9fb85cb10e21904c88cbab68e11521dd1b31c6caf5bd89568bf9c8e3dd5a333cf23508e443347a3dfc43d9301711e884402715f09570f6a59b1a0d00a75bd0f0e1cdc2db56e046d0c301af95000884b5e77a740ef0624e1b2266bf7cdc90978e027
+B = -3bde46956f72125f03f1cdd9d966c7dd486d96d28d0cb95ca06dd4192330a184806e3be63ca8817ae3ace9ce043bc83e7a5909d4f802ed9385952e2e778902d0d9c9f064a9d1456464783dbbf2ef27ad77e4cd4cb6f45a5f365f29174a4e785ce2728f2c805dff131b0e2fbc62fdf0a33b3ec77547403c2269ba910ba9c39605
+GCD = 1
+
+A = bc211d811845832e03d18cbdc470fa61b88e49f129726cbf9b56947cacd655babbf9891ed931bcb4ad30bae0c74ea8f493079e8c7ef32f28ed735192921f42e0e25a74644fa99115b8e5799b9241af4e2c5e6dfdc12426975e2a0d287d47bea84302ba639f17432bb10fd4be41ba5f666a51b51e54e37752521e1fab7c7704f4
+B = 206c5dc07062e2c92bea8fe3e60855895ba69ac90c9ef297d736ec740ab9c4b8bfe657fa6a2e53922481f1ff79aadd12963b8bc31e47fb63176505a516fed3df556dbeeddd224c3b5229cd9532954f1d1539dd249f7cf03e50705f71aa7d11ad6748c8f7a6c559b816a7f41fa51656ad87145a6385c18b02ff6ad8723cfb295f
+GCD = 1
+
+A = -f119636ead254672d1d9693ca78b83643e4eafbaead76a0f6a35646ce0064461c22ae899ff0a32b63cc9142bc19b1ef7efd4c1576e437f7e1e87bc6661863adb4f30ec72bc6e774d531e6fe7ccee0cd04ea1097dff2f04ea99986f0d6637ba3f6aa52906ef0a92c305a9a414e118837a169bbd5b3832a29507f3d5e8d1361f53
+B = -bdf4bb35662c385ae6e2b063761e53a84a61da4bcc9fa5a5339c1ed517afa4b1b1dbe7f41e5d7cde4864019cdbf9a6c660482dd74380cac666eb240756c462c16a4e8ed69deeec8f8a52783ed6ee1cb9cf3a13b5ee998ffff93e98d4aae93ae7b605557b5d7b509c127ed462a1d529c3d22133e26e04314e5915268f062d1a6e
+GCD = 1
+
+A = -6eb12dc070c7bd82172e8027e18be401672f0d5302581e678ce450c68d3776fbf785fe5c7d828a9308d9b634d5584844c46699cae03db59ca3c45d1b5510b718d2b9ff50126e86f5b7e4a35ac0662ddd820f4a61866c332fe97b9a720c2995028b1529d20ae6df83057d55ca0c47117c5752e260c1998655d648f7cd00d537bf
+B = -d11cf0282527809e9918f3307c2d67aa291bf3525ad42e93968a48d9b8bbbb07fa4c151b9b1abc1201556010ab71756224f95ac70180d475da2db8d43c1bc70279f35aa7e0d470f8a9a49d85b1d652bc710f4df8ed43685522f18555e8370276670d39461edf91480f945014e3495ca921c6853ca8ef3bf7d819339630a40a9d
+GCD = 1
+
+A = -d4b69a6e5f61860b38dcc92b8ad150e1610af795d6664b433ded41c844f2eec34721cf2b5fc4f8a5cba9f2389fa221f0b43f743ca6e7519b70a43798cdeb05d26077f2aa5dd326782a235b2f27a7ae41753fe5626aaeff1e2ab26a81350046aa855b5f3432cf004d01181796f24dd4dcddebfe9be6d77c52286d149b6fc4d8d1
+B = -31bc2cdd2c3ba67cb8596a29802456fbe2912751091d3497810c5df6c031014d28f52b833794e131f0d41abb8012f8bc6f909907de42398f03363cd37a0db1796ae6771265fd9daa5ecf0d06de9306fb4706c94cd2c08575469c6630f53a1c694c5883e9c7d3beaacb9ea4991eb779b53291de815031a4321ea55229f2b99875
+GCD = 1
+
+A = -aef1237d1e3d7c468d16741023ef183fa52d2432794040f9ddfe17b960738760fa70d7c5fff5594436623b15b7a8e3aca55daf6b8581e22c5ed359ea2e0c437b81e59d51da05aaf674e935b4a69abb07571b6452bd76f2658b6885e5ea87afe35a464b347b68148784c7a37f6c9d742afb5fb67fc99d3f195f987f22802684c3
+B = 8146d11b6bd45ed5c86913b34180f462b0bb73a41ff7a96a7e83331194dae5a0fcdef7cec619eb3178b3fe70a1d61ddfbc3c624d4cbddb6f204bdd7e1271260d8080e80e22b87d9b783cce892fbebeb0295e1c61d50b3da7887f4d14f5b2d8df7e9b2a2c7bcb14be98468321ee0b83b5e839d28169c2c5c3dfc52ca631e92a3
+GCD = 1
+
+A = 9deaf6a161438426b3de6da68110d899e6307e7a3d5f016f04da2ca3ada69f32baa161f3e151f898bf681eb9ba37faa2649c23ca0d48c6ebe2392e4d813ba509100fef502167d8987edc68beda438c44129c54833907b8833fed81e177a286e530b88e9cd6c09bda88af1c3d5cd612acdf8ba7420dfc6211a870e85fd1b08347
+B = -c1de265bca486c6b43bac6e2482a8d95d8708ec0c0d6099217b9f7e9d9013ee9fc6b5bb55bc088fecd88f315ddabb219fb8edf7a130392fff10d1714243c30737d8cd8ed8f1ec7edcb3c2f2322e02e1fdb807db11f27be86b2cf42c007eb0eba852738c8c0df2796db02c368ca81bacdfc5fe842005fce65afeaefc578b5869d
+GCD = 1
+
+A = -698f5ecf3dc1f35a56b40813d8b38a765fc908c959d24fbdc3d1d87a59f2e6c446d2e4d3df19b76b4c3602428345de40b927bf8c2bf9e2aad4b9dcc06422d23538ecebc520c27792ea1bc5ae686efeff8c060e4c34122159be37e087951e136d936e524234b1b86b581a88632b60be97d15c2792962a8e0439712074e2e58beb
+B = -15352d0ec9fede20325778bd77680b3bae3016f801bc8b9f16d3e9b7b590152995c51c61705830a62f12d105f38f64d1b70ac0c193d03c5cc1944ef70c5e0bace199914d2f944a725c5e10f1850b100f9833dbc90abf87fabfb50c7080b0e97d01aee2e118dd218119a7c6fc1098d64262f54e7cbe2c3c96d1342bea4b826bc4
+GCD = 1
+
+A = f29db7c700e22f97207133e8d38f27f6756edde371c81f2ee93c6760db47d76d6b7bca6743a4eec9727a19751b46a314b7eaa0f44325b05519b6ed9fa3b3ad8e9c4749f7e00b26d2d63a1a473396bce96d891fdebf68c9b89725a38458c47a7cd51b42338a1b15cfeb58945db703347e6cad4068b57e0896769044af10b1245f
+B = -2009e0b579f8e9274afaeba9a13b49a5b673eb7bdeb7fa6a80aa13aafb83dbdf630fe63330e429b954cacac9001014219232740414880cbaf11442b899c904e8d9cef92940c644c15b89b72d30f930a1fa52f7a2844a7cd24f8831f1922ad185e3c2332e515aeecee86362273bbf02b8c2a2c679e5ab996f7e352f27e6cea2ca
+GCD = 1
+
+A = a7e3d09900a1b1b8d220cedf76c70a8edb836e223b6fc47139a8709023e8805c2e90041e72f8e60d4a5e51600c48df624e257e166015517f3fcc6f3c652146ae3bfd8cc803e2e37ea5835cfe49e2433ae761d20bc36799e3efa7ce5f85b21741f10ecc54c4c3a1b46f927eed693edf63e0e46eda9fb7d47b18996f0cdc8429e8
+B = fc1e4e45f28cc46e4174bede7aabce0ffe6104a0f4499f8cd3b664d478e628ec2dc9435c12f729c037d9884b16f0b62f5a577536c431a878640c62b63c8871efe46c776ff0891a1ab37303acebdcfdacea92d13ae382eda3cfb015a1e52476a4caef44c57b95b19ff36797f26900b5c99f33b2ba54beade661ef4fd91266c2d2
+GCD = 2
+
+A = -c514e6370b6ab52d35746bbbdf5a8827a8aeb913d0e31ea5981b3cfe5ffe9b681b18809bccd98c87452740218bfd2e79922cfdcf95f3116d722504e631e01894d697cd07047deeee8bde99c15e9dcb95c4291e26eb82ceac34e01a9a4bbec158ed58d5fa09f0f97e3135f6732650d5a7f13717aa1e8a29fbe4ca801175528183
+B = -e9a2e0cc170101b34167c20d28bfd78745964210b5f113efe83b4be3dcf5ba26a10c8f723c6563cad462fb273f36515aeb9f43361520e098e88634aa37177066d83563130874ba5dc27ba41968b030621c5ba40b07013db9f58ebca18ec10508f262fb63c2d8da6df1a653b613b2faadc344db28bb9584f7c3b0366e36b17c65
+GCD = 1
+
+A = 4976b0d18f434098e97a9f6b8ba43f7d7a233ed341e0935fe051bf63d21e66635a2e16afbfde89da14e84f5ba44930c420b9d6e83e6bff0270c1704c4792f7c330ee69b5faa435ccf0a233306cbc2dca7606b343dbe7f2c0b6cb2d5c072d8f6286f208647642c1a9c08e538f83118ae66dc8033a142be65285bf9e9d07a6816e
+B = 3d557ebeba586390616482db869c981aab3edf3de4c7fce05f99f03036f1b550164f8212668b36f40149129759888e12ad315b9fa497104bdcb2d4a8a2dd252127e522925ea1a530b11b41b0559069ddb4eb0a417fb890fe720bebbbad696285ea6d2929e3a3e2d0a8942e78dc20906ad62436008ae9030e913ff8260df84c4a
+GCD = 2
+
+A = c998e3603ed032713696e8299eed63cc6483bd4e5a44714bfbc28d011745ecebcff75cc14c1d254957bfe6a058282013d0b8553c72bfb2572057353869465861465f14e73ca8c1499eac9fe9eece96d06f288ba1b150986cce21aacbb0dd5d64654c71cd208c38a10ead654e2fd37e6ad8437e713fae84c8050728b8835ed89f
+B = -28784b31434074f3a59e143f51ba6f396f91e3241fb913065de8d6b4843702ca7765c44b3730c2407c0185b4754fbe7736f5e1376cc5570e8dba8517eed816805eda098c5e4e3529c88c29eb38ee147328a36450f833040339fdf596e6845f838564ac397c2ce6e2068efc8ad6d325e82646bb08c4862e6b338c79b9f5c07d49
+GCD = 1
+
+A = -ac872b02ce59f0bc1b1766cb1a85cba4ce1aa5d4326ef3672047b4be318d95dbf0188dfa2bcc5d08c16087552a3510c9f9947f2d014ae8f1c4ed642cb67a29410fb0a769cb8871b42a4309e7c465b843cfa17d6e79fe33ef59d0056a6d2fc384a485c15e32e90339f3aa216bf0ca84cb56e1faa8a648ceeec6a89d261f91d977
+B = -18e879b7555d0c5c1aa9b1cecbbdc2fc3209f215f7b8a8cf9a3f1514836b4480d4a9c113109bb5478b588c7ecb4d967601049d5a5228444243a01b623cf516208a5aa216c8cea68d5ca5b091ba732ea5eb82d9de7e3645a84d41a1ffa11dd23df148f78440a7cb943b548017e82f7316a5ffbccb31125cdba682e53d22509fc3
+GCD = 1
+
+A = a135c563a95890c6adf21c575bf6717bbb6a2481149f3613dc6d6c181e065a0a51561b4d316658dfdcd473873e1dd8b96062a8aa590b4c2ce1a817d3e079c4e6b9b930a5421730e5924936c41a4dc6de3947d88f12bc2fa48910986729bb1ef31cbb154646d40ae7f2ffdc2d7dbde0a6221a8224a3946fe8dfde4f03988c1f43
+B = c85e8ed7bbf6910e4e43d5df972c1367dbf86d5baceb05ac17eaa10c83abfa4de9729e6fcd5795c15888d6783fa7da686687d5d9feefba959e719da0daa5f338c192705a157fdb8c9bbad8b58d36d0571dd9ffe8ba32411a6d796cab0db9a52fe6e2df1d480a2cb3dd8623e9db6a7890ed760243249b6f64ca5c4e73eb621b8d
+GCD = 1
+
+A = 639e2fba5d576f4dfc61214cdd5afa9f5eeaa932fdd7e95d8dcb1f9c09cbdf7dd6909d394e2d4485558a7d87c007ca72dbf2af1dcefa43b8056c6151c71f9f40e8d24769bbc042002bee339e8addd4181dd4b7b71693120e8c4a3ae3976af8a88bdd19edb85654563e41fb478ece1df2a68d1ed8edb7bb736bfb7cdd3b85c21c
+B = 8e57c76667942360df8c9782862619eb959ecb1946fda0dba0edd02b01612f04136de81d1408e579bffd7d61ace9976ba5b4ce45fe53acaaef451b56cf4283bd7d984a4b092ba4c63dbd2b75feb6bbb4491cf14dc9cad1f4bce7bf79757fac2644949bb584b97be06db746f891dbf478598e69547ea2368fd983d03b5f816a98
+GCD = 4
+
+A = -538ec7d8441a229e61189eb52f7c7d91202c730864898f527a52498bd1fa63203df7ab6c79295aad17314437b4c2e174040a7b982e36bcc1c8b3b3273e3f1d898ff1ebe863aec0ed9c2658a01563434ae75e8016fccaf60685397961562979b41d68d2c8ba6d110b145b927e18c3a3691ef3b63e8bc2b659817ccf6f381034b0
+B = -f68ed4bb00e45ffe409527a9a27676a158cb238dc73a329fc8a5e0c86f37bb8ba435aa55a77395fd82f8ed5af7988f6951418abd333d17ec3781ecacde86ef4b15890ceb4afacadef0cc30322183a39a1894c76b1f63667221d3ca5c6c31326ce16836a449ae73396968d100c919307cf0574dbc541c7ef47603ce9e29f96885
+GCD = 3
+
+A = -611cc8a712dc30062e174b550e214678ec349bef5228cfe60eda8c1b318ddc5a00be36457c897746c9709e85e223089b5bb85fd2a24d04221d1659356ddc1db61cc3d645a563a202656db88eab043a82fd3c2ecfd2e4086cb879dfab9f7bfa1523f0346abe9fb672ac4b139468b67c0cda63dc0ac5c07e2a27bc2c09741276cc
+B = e2607ad197a93c925b24d329cace976447c2f577a06a2a826f3345c9535152d32be9b8299fb03bb88f28e39fcbe00cb5b611db5bf69ef669e8a83bff0d7cb4ea9c135d6d4db535ad5b48701b9bee638a6dac8063b569ade1c92fab00e6219541b7e7b80af424a005fe4df9213c2c0ed018de23c88d19945194c33ba628065dc2
+GCD = 1e
+
+A = -b13ee553e1727723347a0b8ed446d25522bbf8cee992aa762426b9163e4605dc2641d709648f6d7c51fc588311900c1b39189ef71c7b60557c1dcb530a33f1ebc12113d292a935dfc49dd4c55f535a9f9f3d5793808b53316ab8d205c13f4f339b2d4e5e810ff1c67f22fbf7787e896a83d248bbc363735b00b6b29951e75467
+B = 3fe8bfb09e9402afde521909af5a4d329b8c377ac01666ba90ec0fad38c92c5b4b35dc7915713a4fa7f34c69b5aeeeabaa0f0c1435cfcce44b159a8ead0094e77939433cf664a97d98ec5ecfa259b91046f06d0f2a5d39f4fa6b655ddd3a26a50ec68c066ac34153e2b502c05620a610d8a6a5280a9f71fd0ae8176df518ecc5
+GCD = 1
+
+A = -419b6c3b67c23b7cb7e53c0ff1d43d5f9e6e8c701808cb2a15eaabd3374fb3d3de2d60850a82bc8f18c79c82125214c0228f4b581da6127d67beb52fd833729b14a584349f0d90cc9f3e5b18feba6ae6ba251ea01b96f79be631608918acbc0e734aab99292d7e1b87402b3e4b15e43d2412e169ba9df8c628a1c18d16101d1
+B = -3927617af93c1bd99199ae39ca78d69cdffdd71568c39630e1574da3d0df4aa8025f06e9eee1dddbbec23b6507d906c0f24bebedcd3a82018dd89db8cbb8a09f7c531610bcf21bc06ff63a8dec7827dbd386475f652676fb94c454f357d6a7eb9eba85bc3f3134b2d6237dadc9586cdb95ef27ea2d29b9f4f21a0e4fae14837d
+GCD = 1
+
+A = 7e69f56c11bd82f0e20812c9e10d7aedfa4b35cfc3d49dbffdaf0b1cd30c2a2cd1abec82bb129ac814ac9df39b01159708a4d56ba518408f6f370545d2b966dc166348d5bcaf8c272536c1cfacb718ad9760de6a4dcef5f55cea837a6fa709226b0760d56f046e411ef5c46b1e532094666d8fa79f12c34ebc942fda4cd36f08
+B = e258725b87f6e91f0de53e200936a2eb8e7a23c2e01f470dbfcc01c92866db5fc0a1c3174287217769b40f6fec2004703fdf1dc5709178c4a5e7354806af9674e6f4c9406169ed14ae6ba2c1fa55bca7f622ca20852516598a7330ed56e563d83bb3fc652ae542fb3370cb4ab8a8a719f98730a15e32a2951ccb69cbb485db97
+GCD = 1
+
+A = -b84640c3490cbd0255fa3944b04fe03453e2f87576256abc29d6740e975358bc4e107284490625f6130265b95e251aaeb6ad5b9339d1ea6e33ad07ddfd32b2725495ae19e4fd63497f89c45254e7d16742f2910b822462dc01660e9ce42a94b8c587934500057474110c5239f719e6184cea4edc27a5794369dcb32e1e852334
+B = -bd89d654257a72a48ef4fe626583f97f59391693bd27ef5654756da297131e13f2d4ebcac1dc5099d89a8476282d2e0c42c8ee4a345d1cc5080fe0796918fefeb2baa0992f3afd05419b1b50a71501ae519f5ae3b13e50456651afe7dd46e2b1f998ce20a6da5d7cba1d9d92ce739f8f32ae30a6b945605c52725ca6dee616cf
+GCD = 1
+
+A = -d52f37da9fcd540f6560121140a09a18562f4762ce95cab8f17c0384158cb41bb448039d6f4ec62a6e6d2a1941512aa54f33f1863a5e9d23eeea026f0ee486764c379d1612a021b3b87db11eb4e31f462523edf4c2926e4bd7bf9cd68598247663a4944bb8a82cec1c9f88839587db12f1201632b256bd92c950984a5a503a2d
+B = 74558224195382da434186436b1dd09a8ebf51db1e2cd7134674ea4d140f8c1493af7f8e78be4b525ea440954e643a5e87adbc7dae0d54ee84a3414606f2852758ad2bebd748245515c4cfde2e9b2cb55461aa43200723b792b731d48919ef87af67e34fd95196825451d2582411538fac8c1f67ca9c85c0585a3145d6079c8f
+GCD = 31
+
+A = c04e4316bd4bfb9e9c00cac5c22ce19a5f7008380d6812ef185f1a8d3ae406548a5dcf15f739f2e68bb8597796a48d52ee2136f30bb00787ba8bbd784debadb255e91c1757b7e8df939958841c7adc95da4298663fe666bd1848553107274a2ce4d589ac1bba494fcab6594d81ba5472ecb1bdc6e1ce5f4386626f313d4ce5de
+B = -1aaf10135159a89433a99fb6ab17aa6df49017bac9296b54f51f2daa01bfef96e01e41d70d4c2f2cc16a95f98a86b9c57040a3dfefa2ade9307a9956f6499e0969d912411b529689c81c77402c4a0cb3da2c1db788c0a350afb8c9081306219cafcab8315110f5d5ecd7a6f0eadad196b42801a33e46188e3b08532f62b2e341
+GCD = 1
+
+A = 5793a0c1d4e107b034cf07d12fa365f3fd156c51387afffa3cc3c4eb6325f777620e5f3ad0bd50e1810238c8b6ec6c7a54fff5a3ececb6ddafb1ec70188c678c146b90e22fbd36a8c5900bdaf4f0f11348e9236dd3e8e998310002a73158cee0003abf31d81ecd29b3d349af726d3d19689e5a6fe8cc67e1a9d1a467f59c05fc
+B = -6dc7282fd7c06f6e79af08e8118bd117aa313dc176c5aba1a078d29d4e925524b2e96dd2135708108dc20416c5c8d435de41ea20c6e3a8baecc0f7eef6d65f3d28e202e8c1dcde8d3ee9814e3aec2b2056ac90ec267a6295354feed30f40ea86860255c9eeed65c646618e137f2f64e2647bb5c364ee75a3de73166b85674e8b
+GCD = 1
+
+A = 8ca0257263d88970d9672aba246619baccb1d7d8d1e9f6bcf6048f30da9d5641d8c507d63e96b08e17e7911d0e3d8338a1a4d110d3b6f138662be0d091091add57f80ed8ae2aeee6060e4107885384a4db00b30e01e81ad20aa9d36e9709b879e46da2750b617d59ef12578d1d15bc5f534565cdcdcca27d6ce5f314d6eeb86d
+B = -3c73040bd6a6bef52b10db3e3293de21f8ebe5438fa0771869d06faa7a7b113674fd331aad905af028331012b10ff4841ba360a2cc89fe9dd68b787183d0db734fec8ae9d1dc78aed03a39424cf07c2d0d139e95614b258e461951387606f59ddf4840a703602c36ca4c59559f54a53e7137300a938dedbaea5a6209d089a619
+GCD = 1
+
+A = 6d700f41de52c707a7ef8692b5a51234c41869aa883b58fa675ae37be3ad81f739b9e62db5a85d48afba5bd72b3e002fa6756129ef99f52f482a646e1c4c9a946ce16a78a706626111c19e4cea52fb5c2473d9729ad40ab8bd874ad6452f28ed8e8cadcda05aa66a5456e6f6ff7116f82294dc9d6f333cec4c5ad7e94893e445
+B = ec2047150a0120ef1949869e055ff76b479e067a7a30b268178fdf4384ad8377a0d0d87e3fb91de288913bdc8ccacd05e2f18fef690623f415f6c4060b7db37310b09b5f500961a94aba6a0f752d81dcffe053e7babd022e7c3f292c2b7b19a1d2b356c202f6334df048c9d282c57eaa00e5037b6bff199554feaf3a20d18a5e
+GCD = 3
+
+A = -71a685c4c883c22612d50168560a95e6073e948e6973e79081cbb308fac7f0e112a5680713f901b18a87a78950dbbecac5e462d8931437c3504ef5d24442c91c3fa50b5aa157be57f2e9dadf803fee227656991f752b097162fe3ff4c1fa02d8a317bd57747ee202faf935f62dd46348e8b1592a56af9e9f2be07f180bd7233
+B = -537d956a8bfd896a9fbb603dc42470ebb200913e2e46263b5aae8f5bfef88c9a885f9f7a9cb244711f0a09536530b5f9caa80cc2484cc4ac767b65a01c77a39985116fc7ca8a0a1417eb316ff51888bab06331ecb8094b84c904fd42156a9923d7f6e09f7e99a89d1acff3f2ff0ce4bff9086cee2f38e403f7ef2a835323842e
+GCD = 5
+
+A = -dfce20b74c30e89efe9b9e199607a6dd26c2fcb5dccb9c1f4ca35a9182102851687daa615d35eb59433b583faee613a07eeee0f177c8eed5e26354c1e190223ce00126e96a36e935346fd9100383835238aa93017bf2a4f77ff80771c2f5dcc4f999f3e6aaaad748004aa7bb18933c1de3d8eece5a6473ba27683d176282677
+B = e2dbd07982ff7104129dfee0faadb2536de485eb101d4dabff2140ab2687ab8a4e77a3b26a7bd1daf62f5e9d2d8a0a3da5b0f136cf59cd27b6b458d8834a5b3d3bdf9fcaef0ac9b72352822f41d91518a7e4d52d63f937954994f636259c3ce13c73c7ff86b9ddebb206ae6bf8d2b1e04e16b1af02c48666a6938d80c7813976
+GCD = 3
+
+A = -13eda4578a7dfbdfa46d6c64e6ba9c955de15ae21826d6476dd2322aabab0bffa3405d9d07551259ae6bb96aee9689008de3965f918841b19c889d47c568e127fe39fc1b4b6be2ef357a3ccf6aa3ecd594af7e9d40464c814c1078a32cda9f8b37e77dca34aa11ed3f3669487b1b16197f9f7e3ddcf115c08420189036deeb23
+B = 53cdfc1c082d1332cf41b228ff94364a86c917ae50b99ea2ffd55d36fb3543c6dcb34bfd66cf91acabdf5015dfee0bcca38803c6faf236e9f8740ddf1d5f74c221b8774ae80be322a944026fb1c45f9ed7f0eeda8398fe1bbd2ec20a6a120efa63f2663271cdf6ad6c14bb06dd07d46c0267016c60697f92b647027c7b10d9ab
+GCD = 1
+
+A = c04fa53c0df1cd8754d2d02227675e68c78389c2873f69f4eda790be543aaa67a08a728423b9df14897aa4f6132fc5f645f85f48c572800051903e4a1b035539e24340521245e3126df97df2af049dab72ef33388f480cd6bf5324119bee3b7e23f48cba93e68e7b5123e74127928abf4501814fc0faab549fd6a0a41bb5f566
+B = cc0e8fc19a001965770a1556f34883e8ca343a6d551e4787e33baa52111982149c1f2348e1a657ea609fa2768e3a01c4ea51e0dbda32d36b184477edef1ce1e1a0326af8b402d24e04a5fafffc001a9c1034e5d6e5ec3ac5e21ada821846be0b17da49969e3fd7d941d49906e75bb89ddedf9675ff7590d4371ecb2be98a8e68
+GCD = 2
+
+A = -4b7445cc1cb1fcef572e342a8a461102bdd0f6cb0a59e771d7310a6d219674991797448107b9297e98af1b07afeb0395be0181c65f50bcc6683570a7b5e36ec180e0ea074155b80879163493e480aca3196029c9dbbb13b61ccf5420ee76125a61c8017b1a0f9d3543d39ebee85812ec46499f1b7f4ba313fc1c82d9d663a95a
+B = -7a6c6f76ba62edd5bff66725b6cf49cf0b00d5875fd435430281c0c4f7cb979643a927962f1a487076cb1d8302c0c930dbea5f870a7d6a519960f8e135870330efc694198afc49d00fbdc024afe5e9da0e30ebb301dd93beb71b440b0201ab45c492fd7a339e29b3faef22f42819e80f161057f03ed02b1cada4f7335c74728a
+GCD = 2
+
+A = -7915966851a302e4b76bbf48ca4e7456cb5e39fdd050aa4a0b8fb09f89e6c2fed20c6815bb2e14632790d94dd2829762487f117fb9234a9514364cfe2b600f502edb4fca5431661d2f5433d2a734f50fbd60c773a7b356315a5878a9fee3d9d444d7365b833da23f4b0dc5f310ccc3d574954b4a0398dc872c4412bf0b80e7e5
+B = 4b971b22bf6fa2c9144d33835e4beffc4951107231e9bbeeca1f4e3d25f5e75c44205195989470ffbdf2135f22b33ee9f26455c8bf1e11f28a150dd492ad6bf1419fda88048ed3621998ec369649ceb820d99f5391736635d44cee6b06cee5b7bf2e16f92674236b3b65b39ff71e44b12252ae8a38cf2546a4531ec56c085464
+GCD = 1
+
+A = -b4653953a6df9866808a1e6d02485952fa8fa5ef70b186d61f4c2d42bdb0323a0610353622f60e6e3ce5b9f39ff3d40962e31b464e1227bdcda945c35d3da2f58899dfeab9e30b7bf50c8b1f677ee5f071a02fb97c941c93781fba49489cbc3339dee3416b7e4c2e434703d5142475f2bb93883de6488b347751c382f4f4029c
+B = 2e3363804655cf0b6348baf83da0fcdc2cb97c9178d8b398ae70efe00c1457ade98373a90d1819bc88e7070f733129f6f719bc925b49bc3e0dfe67ab330297b865c842141bda7f5fbf340523c1eafe44e1c83092d14e62006d883796a4c6ebd9cdc62a440627c1b65507441f8b1e94df7e85547def0e0ea7b5dc5e6dabde8adc
+GCD = 44
+
+A = 1353645bbfda9a372f5c7137b03e589414df9f3f70bfb98b5f10f5a71a3d859af9bfc3e6caaa15e5c9c76af0ea5dd58a4867424296ec0c09e4a6c1886e203ea38abf038608e88fe48ea94a4c8efcd4e58cdfe8558162878dbd354eb72e59df737385ba396a8c1d52228c8b11033573093c99961779c48d3c9ad991d700a6065f
+B = -8e3097c84a7ee74acbdb67f5c66071240d0cd1c37377ab8da302ce8b6112dbc8fce40a3d37376774f7261d8f24035c1eb5083287decdf9edffb0da1899fd88c55d1e8bff9341331e599f1a18dc5fb93b6ff988150727ff14e83d50d4772ed47423eaddbfcb052d796b2b6459e895b71b24856d17a4d0a11a312b68f4b9618816
+GCD = 3
+
+A = da8931532f23b89081fed3430d3d8f158139c5cae9157eaa800926a8ffa5b6056d17973b25449aa3a8b7cbaa430c9fc890d3b4cd9b5b7ab16b60d1ed988a7bd5a80bcb6843ebda22f4f92ba6a14cd18a4b3c209d7e5eb8767f2c468833b44dc99c0463a38ba085362d50a63a2de53a225c2a18884f3b996a0ecadc58533599a8
+B = -cb6f15d26c0885d8dd9774ff5eb8b0cddcc9887eefb1d3c3b58b81492b7904a295ea3b5ea6b9efc42d88a7229dbabf19fbaa34d3935635699bafb859f5fd620c7e625928e6ba526f45051bca802c599e61102685f193c47def95f7c31837cad8895dbf85ad6eba7fe6872a9e346da18b0db7dba32a6929d2507f0e6b73eb2c89
+GCD = 1
+
+A = -9ab625db135647e562b78b028fb7c39678991a2121801ae943a1e04493f8e3086ac6c1881c334ba49fe2ff1e875a983ca38602eeadafd61ac649ef4ec78cfd3c11a6bdbef360fae04fada90d6802292cb90ad0cea6b1d03a83f200a88de82873400fe5eb6ff94a1d6c981a061b1cbb27aea63bd245a680ec44bb5e20f3498b74
+B = -e41eff8c883053e3a009ac93db0e72c495061659291ba567d19b2825149ce68887d898abf73d26058ac2dd9d7dfae7602c590ba619704f7638a9ee011f1a7e257696d504491e10e0a22feff1aea4d68051f9c1cd0372ee336f20ea5f189540990450e18a60bd525b84731e1dc4c004ead9d610758007d25f7538c23434523cd5
+GCD = 1
+
+A = -a55e44fa3a49bd55b502bec1041aa0065977c99bde1f07586ba454fdc461641bca4d4c1fcfee771b7e961917ffb1cb68f7deac84e48002568a53a9c9ec5bc861a23193e52ad0599dd1a52d53ba1cfbccf0a854101cad2e85a76861a844f3719134e431b0acd1056719b45634fd6014ed085a67cbb152d219aa80888bb9c8f5cc
+B = d0603fd46ccba49ec9d635f0080f9a7f988083348dd4bc584116b2cd87efe25b2e900090e593db8a470c11d0801f53cd3bf1d413d417a403639098798388af0a6f3c3b645e14ef06950dcbfa64518403777f595c87b06caa82bee72853512e96320f54869dc73d06962a9885485746a1969bd971d17f3b191204651df5fd003f
+GCD = 1
+
+A = -e0761ec774e4ba1f11d7df5a6206b94247f65be9298e5b808162e4d996f6bc5da42093c8453f7d4f9e5a5d10add00a4e823ecf9f032ec418adb1f57775ecc936e18ccd5b4131a26dac7f0679e9784d192aabc027f04c05758efea54204f054fe3f658f8b5293196cfc16fbe4a504d03aa20e4f36a60900765972c6869667f7b6
+B = a57dd9d36cf7cfff4f95eca89b6ed87c86272e71f98512226f0b7c8ca338da4ebbff13b7c42f768ebc7a8671dbb6f17544df6a03f316283aadc6f4686ed3381e77eb27b4a21f87c03313044df7027820aaf3353eba7fb1c6792ff4a5658ceb6ab44455f108c8f22b1ac3d5c3cc33e377f68150943b7291b072106939f99620c3
+GCD = 1
+
+A = df31b37cb4ec55dd54cb1b91c8116b1e7eddef50f7d2f74ab29d83e85723eaaeac8e141ebe3fdb8411f60814e186e0a22da9db53449a7063fabecc439412d9fc50056ae47dfa9c9ccf27c656c0e5c7ea3e78792eef32dea79b9a3cfec8e0212cd220f8636f9b0134c6d76edbc7a0fb2e22fbd3d454d8534aba50aa162762bf6f
+B = 38109ed7d8a9666f0d7768190868a23bcdf08bf114bc64c29527f7e3e8253fd675d98722f92a9b849f5fc7d53968d1b09a3428119ecf9401c2f7d1c08225201d0424249f9a553197e1b1010f89f2c2037d8dbf136670313c3be87e636e9f322a1a1ea99375f8e988a0bc6ca4c884b42a9047d57a053e4ce29db67aa9f1c01085
+GCD = 1
+
+A = 4b7522b0e3d9b1b2e7bcc9f9a602ec5822a40d5696cb8dd88e8cc1b74a3bb7559ec470ab6e2e14e370ab7f22890c0707d07c0019bd91f097558bace0383318497d27e6f2e98d337d52b076b586ae847ec070f82594bd24bd5b7bef17443a5e1f550e4aed7bbfef7197f1a74c809ca1b289503c65822ffe25f85799ca6270caad
+B = c12f0559273fc7b71a25998ba1e00a1da9dce1d8ef35e0fc96420cd0f5c0c3a9d1fd7ada87896d2f570d43be3e1788bb150cf1eb27d50d98c600bdbad722b7517046366eb52b3bc2bd89e4c098b100d323da6ff8bbd917273e14d0cf57362e7f94f4ca3f0acb878993230146ce8db6a755019b48a4b7aed135addb6a2d74a984
+GCD = 1
+
+A = -f8e741bd10bc64eb911130e05457c0043feca6dc21f0b74f9c53885e3714cf65ef6ad9d199f64c43ab4b89241e675c2369a115faea49f718aa6c51672afda6f4ceea91f94e1c55df38ddcf9ffd3edcced3dd087745dacb60c0b651907c8b40bef0cb68f42c08165e51c915d9c51fc62f9dcd4cda3426f3eaa18d75be0c19d4a7
+B = af1d8918fe0250dc485ea7cb5bcfdd7f3113d46d4cbe25c9a2076e29139303e559c11d3c440011bf754b20780f41b2db031a5992488208b20aded7a5e516daac9c0244fdb5cb5e19016cb6d243eb8fb5edb281cc5f19d22af0a0158ec4e672287dbd19ee97026cab86a74b1415509a7836862858a8ac4952d42bd6027a923eaf
+GCD = 1
+
+A = 6dad2dc4488f6c0ab132cd6bca27b198edcc735386c2d15683a67622ca8772a476b806be8a5970b4cf64a150c7eac469c17fc8c61ed21ff2fa9eb38645c65b8632e9b4096174f6c8a0060ea48ad21e45a0442ddfe0682baac76f12b5947e99f7505cece284ae8c5b794e187e7e3fc4ddd7cd61b17d82e2d0a51224eff1126014
+B = -51381a511393f164fcdf6b17a5dce22b3e902ea3d4551551ca88e21150a6ad2191dc1f34711da2009a23578c4f6dcf76da370066cddcd4fbe67590adb525010f169087f41352452cfc4fa0ff304afd1119d377d7b3849750062e74c6368436b9de926bdd6174c1e25e1e83d02030fffc7907e6e2ee6a793f8fc6cd8aacbe3769
+GCD = 1
+
+A = -44fcf777c30334efebeef67151586b2f337602ca4905e2ddd05b7bd51b24e1510622603af6d17326fe14b476f1bd44b29498f7e4573dae76e3d0acc79876cc4d6fbc1218c99da9514def99f615a5e37e0b95c6849d9b76c3a90249d6ad583ec22bf8801ebecc66fa4513260d5e1b4c65e6744964b0f537ba5891fa44f2ea851e
+B = -20bcc244584a8a859a3293bb21ba5ccda6237f2598af0604f0e9c76fb969e6a1a992ec958df35dd0dc8fe37b3516319296359dcb86faeeb6ab9a48257883b6cbe2064a6215d51dae9ae49fe0aa77febb7b39f1f63487a24b5d3b48ff6ee56eb18816f074db12d6393798648c80474d9a31dda251cb7c487f58b08a12b22a9263
+GCD = 5
+
+A = -c2202239a2b5b74c8bb04abf42656a1ad2601637441e6f37cf0a0759df08628197f50ac650cd4395d9b5b7bde8bc85c31a5f2dc12a11caea2f3b2b56a95f7d89d9cb5e43c83c4d4c85ccd7b1a74a7f5bea1596880f574bf653f2f8131a9976fb233de02645f1320e47421766f5e396d675e1da9ca9a8de8a587f70f8d7d77ebb
+B = -b0075b95e49b4a1457bb911caf8f8bdf2289e5ca47cce4806538cbbbabeec5571f030344b3b8fd3877d562a3ea91d659a4007647d6c92747589b6ad910db0ad116b08a9c046ca77435d8074f2b1f00b18df06101c59d5f83de86fc8c750f2c6a65e21d97436a2d061648339c8336ab936412f77e710a12dea3b133e9c4223de0
+GCD = 1
+
+A = 68d8ee04cf030d2566eff7b8d0cd6a0afb53c9d430325d17125010253ae6ab61aa741f296f5c4d58250de272f43885739c20ba3784b72c734a2ce9811a3aa8cd0c6bc3ea38597e1ea39457a9d7d7033ecd39d697739f70421bbbc56c8813c44117553659b0874ce8bf7e327fab86399dbcfd4a4d69da73d70c8b9e92eda660c2
+B = ba9c80adb3b324e3eea0ba07893b48da9e2fe17374a87c1a678783446d4625fbc12ac9a815e057ac7d3e41319aeae93fc2e2eccee7c92bc15c0a13ad5d6fdb057cab8594b922ac4e51c0f861b46249c9a76f7d1b9583e736d35a58b1744a469a9e77ad66ee84c8ac5a071ae4e8449559b3b5a4e52f0a457f41a3edca74d5a8c3
+GCD = 1
+
+A = d068b4b23c3e4ff3e0d65487134aade29da80c0765ef74e1b2f2b80b3cdf9d1f650d04959c9f5bacad62b4ccab9744b7b2b9adb15a90d140b3f16fde0976b0c63b6fabf9ca2fa838a736a2545dd6b3d927cd94cdd1d60f7c223c41e457a435381e3ae0593bec0c08a4e6fc3f5deb5f3cc07c501007f7084b75a2a9a49d229996
+B = -5d08bbc1c5082dfb7cd66f7cafe0b22644f1487907e7c4f3b9fd41861f9142d9f0ef41088d019bc0db541b0c40b03a91488e46c1aa3c5becbef3596ad283d21b7ca531e2a2d9d9228ab64c86da9e9aa439f5d49fbcecb0e28e5c0aacd7001c756eb6b75f71e847552a07734afea8ab4ec56d0eb2ab52d4b8cd843018e97bf840
+GCD = 2
+
+A = -c99b2f7ca90a10481c0d8c9afcfed463744f7a915a207d4c3a2bf182a1ef0a8792857475804e613411e9d7caf66d62c3cb1673ee654a4270426c738984c204e82b662a22d79e7916cf1075cfcd5f149a0555964a4df879084e12a297a1ebbf7653b7bec92de19388749310243bbd735dd407cda8459a4e5531b9892154764330
+B = 14181d2c758471fa2c1a213df4ef08671d3157f7582f2f4646a66b0b730c1e66bb2120c925b48abf0676b567d2f776e6d257007ab1e46423798728d95961dbcfa2529e53e985d1349b882a5a11395ae35e034cda6738203fb3bf3005c344ad93813a2d5ea49f4ebfa281029c197cef56940af09476d96130d00f9fd00f53baaa
+GCD = 2
+
+A = -f63cbf5915fbfa0f0e4ddbea7deab610187b6e177ab0b07e89208b9bc7523bc0b8ebf8959824309dfb546d476164288bc8e5519cb77ee7ff321e3fd3a78cae8b9b5918aeeaf09561f1a73923d541972a084af5a0bd8e2cf437980deac2646bed44a194e785ec590e998b2623a3d22f2ee57e847b9175f18b082a639a35cdae04
+B = 72b9e8cca1d38a34091abc8ae9cbf551f981d03f0d6062ca7a047dfc29fbc9846583d5edac6d99cd9e13f12655a4520352344d8e88fb2232b4b63cb82147847b6ae4834c0f6d6dee52b5f892dec5843aea7473e4acdaeb75b86e62b08e29d10b0971b1c5ae6f345ca2f1573aca88aad298b4ff0df5ced6e4c51d76d8c77ae199
+GCD = 1
+
+A = 123cf2915d3e2de6a3ee109f3232a4a227fcd05fad8cc15f9717a788c88462fd53f278b72dc87499acf2e3517438be92739e04b20e129f0643bbdf4c7fe4a4982832d1958c7e80985728636ddd4be24b1df902afb53066879df8239004a0872b5760473de85af59931e0f88eb05bfe306395ac941485d6a843d95f9cc211de8
+B = -fb0bab19fced224b475243afa5c308ae32f9d9e0cc7d222611506ec1709f68757a60bfb7a881ca9de80e2e06b4ac8ab9bc95d9532eaf65bb88100ff47d5950831191a5f064e6e65a6561c4e810bdc459a531a7b9abf561612f0ca8c5f94c3e7810630e117b13fb0b443f7216935e855712694e6f6b0a229ca8a867e6ed55ad4b
+GCD = 1
+
+A = -a5c4c4bab4df869fb46ad8a7a3903360f71f057c1653771ef7b60f21ed31114d2909bbeee54c4c01c65b7544c75e1a8ef56f134a882af12bba61f477d2405a7e7f56bb777297cf5a27c7c3e4630af1c0ae9e8810efcee88e13638b41f130df3683ab0256b95e53fb022e57fa14b3c67bc66d6977ccb6a8dec771c4aee4f866fb
+B = -aa14ceb645aa0b3d85557da7b1d43ae4d8e2d819be23d20ab7714848a955a5cd0b318f1844e86917c3f28e19ead03ba5856258e0a699566d302f474708b8a04c98b32e02dce2c19d7c5109605eeb56a0a88451fca376e6021c5011599e1edb9128ea08c746fcdd327d094280f73b0c09eb7d2cc8838830be6b82c4e6a7db2ccb
+GCD = 1
+
+A = c432f60292d6de79ee4d778572aa840476ee43a257d3c971868dfadfeea03e7d941c41d4911ab0a91316ca326f923f5b64c22d1c2bcad055d2d1baf94611736b6a27e09792d2bcb8405b71852583c498cd72d77fcde6e90010a02e08a9a9a89fb2a0192bb14802585f2a6084709c7d9e02b3d8262cc48521d1dc0f9ad2fa73d5
+B = a8dd3cfbfd8fe648a3793273da8b26e36a3e72aad6aa21c9c5dae89d6e875fb8e910d565020392f6890f7c5c9e266de7e5cf5b3fe071f7c302d2db2633c4975823d4df76abe3377cdd9088b70f63ed39c45decc07e0d00db5786b5a3301988d3a98e4c2c1e711aee755ef51efc98dbd35f82b06475b5377a58ac7d917d57cd99
+GCD = 1
+
+A = -ff59beedc1d8bff9a050e66f43d5847245c2488f1a72d031fc05d2c88a7aeb0b161afa0b7007565448d427cc9b14212114950f12a7a85d4fd49869132d932444a109883eabc7f047941c37cd7ba297e5c101ee80ef80f73d7f682d133d9680e52e08a048a4f2451df18938f0316fde5fc6fa4ffab8be8fca298234b83c94da01
+B = 6e09e3c53c00d41adc5d33741ff27ef0cd14aa71369465af8116a072938c16fbecc8c196aaae99ae1189a3ea44558ac1e04df56de714fd331235f6d39faa42c70cee662607afc3c84d7309c231a58da226f9a2d4e40e5a6f72fc966c51aaa70ed32fede5f924230530db6b9c9707a4d6907e3d4a68900fc6156da00159a0bc5a
+GCD = 1
+
+A = -a0fd24f5c020ba8026c0a25208397908e7bb4843f23ff4a11707533a9e2997e3f7e63eb660516f5c7264613e70942b1336758172623dc698c84c91b1dcfddd16805f59674b73fc408b686b4e9f252b982d4d5d7a2162887d63627f1623b228f9fae8c8165804f6212cc31ad0deb8a2791ab1294a7153966c970fad32553ecf2a
+B = 6fb229fe1d4135949b781d9756f8fd6d2318e19722fcfdeb1cd0a1312bd9ff93925db04c4fd73fb40462a431e532a6f4fa4b89932f022eb3c0133dab088fec19865b0b000edfb85d3c0abf8362aaf119a2cbb42cb061adec5b8001af12af505a10308ee92849ea3c51e6af24edb020ad15756081257a70f4be0e85ca829ce2b9
+GCD = 1
+
+A = -a593dbe4a20fb1b6bf4cd8e49e20e808274a3e3ea125c7f9cf33dc82cecb44f028bec1a0030b951ef8a9c5d149f803d07bb65aeaee9ec0788dee93745c4f43dda5101622a8290dd17b4720692202353a893e1e9e4c52c5ebcaadaef9ca34d8ec7f3c132767717e7fc19b70cbc0b82ab5f496e4ae2b6dc6d8bf695df055fb8772
+B = -de18e2c611bff98420607daf82b544735a63bf2fa94764cf215dc6ec1f68370a049144a5331e04ea554736686a13098d885249357bb649c2d1b171ad4ca5045a78c9c2f3b4224b09c8f63733f69e1bc13d79fa1f5815cc7972178f910efa41314605a1a3c5224f608796b43b973be88b29b3844258b0d2fbcfd206f30506e2bb
+GCD = 1
+
+A = -e52da4bc3e5d8f60e2da877d1a0190869162ae1c04669519208d74cfa3683b6097b9a5e5553a775e96ea4d419c0defb3eb499c572e4fe0c394deab2bd4d08cdde4c855decf41222707c16bf6b936fe48d4845d270d5e340bf79360e384c119e2f97923de0e4a44252e39e07d85775ba544090d5aaf7b942cad8dfb9e12c6538a
+B = 39827db4e52434a69677be69d675dcf22ff54c4572421d7b75de9168ab051fc8effcea565d2e6850fc22e2c01eeb035c892503d04165da23e29649a196235fb9da768d8391af44061f73a038bbc9c1d62481c7460e9ec5a89bd0d4af2388553d826644c9973c4b73c568baf205c08c918cff87eeba94d47d544972b56c8d74a0
+GCD = 2
+
+A = -2658c0f75a35f852bb84f6d24671a7315919fb42215873d9303d004020be0428dacaa398bef0be232f0814842ede603cd7d61d7a06e6fc0df33c738a1f0de2e742bd462c757d1799fbd56f3b59a96adf7b37847d594921a32cce54dad3ea31b1d218c38c9cde8ce515767d9d741b3ac1f99201d330aabffd9d0cab11b8b570eb
+B = -39ea3d5a9850d83d73da5fd718611596a2f86afaa757d6f253f14f54a27c8a73ba0ca24f08373e3b8c6b3f0d0916492905b73f764e94ebda60b4d4b79ba93719b74a96d4bab92d4cfd20b38d2b9faa63509d15ca473f8ed7a5b432d31b9afe80c0c198ae9608ab4c787961c4e707c636ff75facc899f204eeb007d4e43bf1e54
+GCD = 1
+
+A = 1e9a54cee94fc9f8b860106f323b5093727b0920d963d5965662c09803ab027e6095ea112efc46736b78026c7761ae0c0376fdaacedf002cdcc6fb50858de2b7868d2bf6691efbb83ca61af718f36986536059e92f24beb5cc3a080e27f89323969abf4a4b8ba218cc4c27169dad86d14d675989cbb42fc9ac3dc9a4b636db87
+B = 1a88f27e8921f140ea52808d7d474c7377c3d2748fd3d1f6143fc6ba5b6260398b2bae9342722ab23ee578f15d8deb32a0bb46f13467bbab7c3e22485e6a7e46b59bbba9776ce17e67a15692b8ba92743b562ba02b54e648a3590d98f5df16ff67788b2a9668b8cec119aa9d602587c61b17b555f9591bd27aa5735f7882d039
+GCD = 3
+
+A = 69c9cf1c4459f359a3ecd0b0d148ffa8535a4e28f13c0bbe2b61e35af07e27ce6d25258f74cc766b91933eb3d6c562bdf45190b9085475dbe675dd5b60192da7fe915798130a23a296d526d5ba4f26d84be4cb1f67b4d496830c09d178cbc0e38d2349625fda6f02c498bbbb3fdab27781f69bf29526ddaebefe8fb4d71aab12
+B = -f7411bee2e363bccf0dd48729a1e24800f74187f3f0eac4b0bffea717099102f59c526a9a4b32b9b60b28d191a00eba0bf94a8c3a7e9318bf985c8c42d59cd185b0f1d774b80a748f55701aeafb858d7a894c8cecc07877b17753079a1437e7104d7527e569797051d6e23b9dc097795ba16994ec46dbe8f9795d50c7e56dfae
+GCD = 2
+
+A = -16a0720f665fe6b5b7f20d9830ec2c6dcee247c2ffc3d209635cc780fa1ab08fa36124d8236b25046460fc2fe2418485849eba87adb5c393c473b319b32b0f094376f63b841ae624303ba03557a80e1695b0adf7d23cef1279a1ac3d2452f96128ea18a5d589f477d6d4e63da337ca954f7666d7a05a3c4b8f64ee42a16ca376
+B = -87563ed277ade1af23cfe99685e0ce3c175f8395e6b30348648ac34d85e789a93199ee2c63c0e9901b34bf8acbc8c34795950f9ad0c9bd9d8670feb20b684c544ecc3a9ef65786675ad9282cf2ce10e1e6eb8743d00e70cead41b6ad97bda344c603128f83f1fc99da061ef7f2e7a2a4c14d191e5772efadbe38496b3b10714c
+GCD = 2
+
+A = 4bf84cd267f0bfe1728bb1dd7c977766efbe0124cb138a74f55afb94118100f13f38c6013fb4c7b057847487b264a0fbef5fefbe04833e061adffa9ee8196023ce6a1c3e073fba41c73df3dcb9afc31e9f957fa70347e309b2ce880a6792d652dfa1a6285b77aad7495bffe1f4851cf9b0fd7a9b65867888226de153eb979b5e
+B = -4dd4863a399d3acc18a010578d725233c93058c84b198f3a9dbd1ea5341dc6bca119248ad6848556cad6678befefef66b9b03017d4bb826e594dba1852092faa4ce944329702ca8ee5f4521ed0fe13acf6dc914e5ee8232426b4fceb7f39082e3cee3e7275f7ee24ad296dadf5a2fd85cd6d9424d2004aa28bdfffd14af494a8
+GCD = 2
+
+A = -fcf0ce69fa81b5c7f869835c15ee2d264e6cf95946d75f0f040c565efdcd017ce20d0688de57e54390c931888c08d482043a24ea048192a98d96cdf0e9a5c7ee33da19592e5210247e081b1fb206cdc6e28a54ea2dbe63e8bfb9e9c002b891b42c99584c6727879781c3c208897247b3f1dec0d55fe152a2e21e77ea868b2a54
+B = b2c2041c93d8877be57775b6a519507546f6f5f5853d57b08d74f66d0f4c2812130b846c4ee689d604d43b6eb42cf8021648fea0ed42b272dee1cf0f7a4c1be591b160b0d93ed1d3e7cd068b2938af4c2eb9395c3e34e04123252544e46e3f9d20fc6323870fd4bc1692fcb52c754452f8b68dc092bfddb29c43a7dae718ac6b
+GCD = 1
+
+A = 4c55ce5424f2c9d6d158eb0971014be3f470a70dd526de94fadff2b247abdf5e7f7c605e7546d220438952a6b41e7d1bb3533dd10a35b34ea2c2c78c2df9f8c66eaa9b29a0c51428a7b1bb2fa4ea3330e19270b5f5f56107a72880fa69865b1ccf2ad0d64f827c3e8e91ff68a2454c9ceb376c5e64243a1cff9137ab38ebf18d
+B = -41ba6b03e2853b202e23108f333b18c512559ef3bd5ff70b733c15d3168e804fedb8ee49a62b416088a9991e244b75754ac40182e521ab6cf546d75f14ef412c4ac43084890599156ee83064e7c73faf45bbd14bba3f1637522cbd1f05160a8ad03486c23df1ff4e018110168e9f636ee6b380a92c0528797226e1fab15db72e
+GCD = 1
+
+A = ccc54150481e9f136a54a6619f10b6492ec57993bc4b2d9cff3c6be964f640f57bca911ff7fdbb55ae6feb9c36d3a599722a37a8c86cdbb52a2688c022b58b3ecfc7e1985008853d9d0315dfea05fff1ee465bcb3a89420d2875c1d39c54418f16dac4b40fc6838e642be03dd14f0680535e2444af8f8197a43bd9b579d5cba4
+B = f0053588d2e792dc522c4aaa6926486c92402357c0408b3452857b22dba26ed5378f2e8b5cafa2876ca321d1f22b040bff3b9d34f511285675e1f04d39da0c956e84d9e140d995d81ad7c7774336ac13e64f45308fbf87e956508abc37338aef402450272369a38390aaa6ecbd0d80f7a820b85a282f4eaa3828f316d7f39a14
+GCD = 4
+
+A = -571d26ad38cdb460292c46e0cc0b1356b0b5665b1ae8a955e80f7dd4887a9633f0d21ffd0dc6f0ee36c2c7ca1a45d4c6f995d9b60361ee944e908e0558e1beda07e1e9e8e88cacc1673e39919dad79802190117ce99f934f2b0c23848bd1dfd9ee7816be4c403509574a043bba1257485522f766d68cd47bb56b3c5e2ca8a7eb
+B = 4af3a2cd3081a3b0c5b386894cb6a40a1075878829ceb8109a8fc47d1f7eb93faddbfa851769d5f1090d591194362e8a685efdc98d421e5780001fd8450033ef77102fe55256b80ee3cfc1c0eb02f55099003d8234b3bd3243ab6da6ae04a7032303fba0f3bb3583fb39d2744f807b03ac680e16cb1eaccfe2f00966a74b9a15
+GCD = 1
+
+A = 4ab43d9387e6ae566ed27ae06a1425cf614e740b3431bc0320be21dcbe4c06cb57df34fa652832de2d6bf0d998fb45888a4926de287a7f6d5fb7d6cf544f31acb7a8431028f62583c08640be503b953b2ed39f9a416d4c883bf7b55eceeda63199e73de9dd1d2e4f950d5d01aba94a8aa14a80b25cc48f4c47b6feccaea32a24
+B = -16c55ad418506c69b9f3ebd148c406c93028fb061ef4983b21a758951d50ff8e79f989a4a9925186d527dc3e1b6eae06f1e42b4e07d1c8da988b033b115300d6c95e45076557a08bdb4e7ef90e8428a3ae9f7614a43262a83f9e73bece979a2cc7e27f73caf5ec39ffab0cf29b56fecc1bac9d15e8173fe02ea9ad84d686e460
+GCD = 4
+
+A = -90c11c9fbe7d26b1fc3e915bdff70866e890fee81958f9e2d818b79a734e4e049c7adb52f3a743e47880856610711d9d07a1ec722fa5a9a896600ba0a3dced41e1c4ede945c9b98cd10ce7980252a857a55fb979a88a1414d6bea2c3b3e4854cd706179491d43de684914759b389e52921b7b358849cb76ea8aeacfe31440203
+B = -7ebaa8cde1150e22f914d2e1b8102dd13cf6e675dfac7cad948a3fe1760588fca53baba7c82a99e50b012a0bd4bd4ed8e5373d48e43a0c9929760e9aafe1d6e87b78ff34b078256e33e9cecac09e52244652ad94813ab8f72405c265186ff9d0cf3e78de1975455a81a71eddc70c84b78540909b1714d7b05b5a4d1115d471c7
+GCD = 9
+
+A = -265358b6f4e45cf818bad085c3ec4eee4611cf1e84d3b29ae14f37b28524d36d08ca644f66b54de177ce8a1f7b07ddd898348849bea4feade555986eef5e3fc34acbe05b910ef15fa4f6cbf6eb25b89f58d78071ad883385a17cdaa3afcec445e71a1afcca7121c5010ad74a0e2a8acc58f1b1927b852ab5937a942d50ff9a1d
+B = 33a0e5636d22caa6dc84c83bb21f7993dd804dd4032fd5cc2076e47dbf60a0189352cc83be6a29451eebea3fd033b92612b6969e997ba1c669a9f7f2a9be522a712ab861ece3657ad6c54fc3da21b2cf0581dc322dc327d721c7373682bef98de32b8b9f385ba211ac222d0d88a467d54895e00f1f9e8349487d75537a1ae0af
+GCD = 1
+
+A = -d37493ce7352d1f8b1b9d47db0411e7607c6b7c81289ff059a95741cb8dc12b03cff4d92092231c5f64e6b7dfe24ddd9e12820ee850d5cdc55dd49c76176b19c589bf67894fdc8f2fd37677bf5d3f0bea2422dd1ec20e1f3b0116702da824d2ebb4d61d6cf1a41b1145c73b4e528b7d4ba25215b8ba808ef75ff280bb47eeb54
+B = -7a978f71b184a07de124b64ca99577485e3b2f30593dab6019b0e9c43f749071bb46356205e0e7a941f35e601365a3d4aefd360d7336f815ce737e293a9c2f3bbfe793756d3f3a2f3b3aeb50c5d2157d1a03022fd26dbed943d0e13f8cd222deb1fb8d6a398d8ce39e61f76874e8df6cf96b77d1486f639dec86be6d96b62201
+GCD = 1
+
+A = 54efebc6b00dfb7b78438c5fd3d0ad25370c7363992ac2250922525e4dbd5f306b0f28995af8e75ab81615f10909064967a2d413724d6aecc6d5bfaebeceeba7bc00670e90d66ef48bf666c47fc01cfe3813d90829bcd5a0c635fc6342cb361ca72d00601d6c99d4028c78214739fe29d501575cf7a5566cbcb1f393e8f0d5d6
+B = 99d116d93c4ef3c7e7932b1c732e027256b86acea78c2cc83176b7273032102c634f173ff875ec60a9aafeb5572209eaf75a13b52013fa71132943fafeae00453eb8aeb5aa3207a940d351d051d56a76bb853a589969e501a82a09338a58db50dba58d33bfc233c9e1e29b96bc5160e8638ddff55fe3ca9e0560f9366ee822dd
+GCD = 1
+
+A = -c1b6275ddbfed8faec4d4d4a097356f51c80f33e6221948c23b3ac1e04860e339b60647ad54dc8594637e935ef26cd6ff5cad45bef840e6eb02dc25fb628b7170f48426273b12b14aecf9584283d3d649678d8530683de873595f77b99ce7c7b7f9affa53a32f8b06533be3ac426d14ee754e0a765d93a83872aef21df4ab3d5
+B = -a9663739cf8ca44afa9fc318b80672c9e2dfe50515e55cf1661393b64dfa5d4c88c1ef0a63d39cb25c0e8ea93096d59d9453adb39ade57062b9c0777d00724fe8bec7a7b939e229f0b486c8c8e5847211b0e674e4ad7f770b95078284197754c0f3bfbe36fd9039d0df6e0c6ca0ee08c0e921f1b3ec8e0cf07f536c5844b0524
+GCD = 1
+
+A = -ec30b08a0264800a55d46125103f0124682e34df5ee5162db1503875f5c57cde9ddda23ac0d4fdec41c463c97f6f006a1aecccdbf599e9afba7d89feb3483df3c4926383f4ec9e1158389d8759860a62d142c6678848c41e926eb95ed4258cc760dd8e713836a3efd7da1fb733e131703378f73f1e42c44bf1a6c258dec5297c
+B = -7e69a3a067739ee949b17175a1ebc4c0fae3ab6109ed354e68b9cb5996572fade11a36065fc65743d886c0fc7f7322f1e5b8c452c993d4a8b6bee2f14a10e3e27757e86b2c0b6d2c4a862ebc7906be9ea316aa0d70a79dbe3764cd96a7aac9ca1d846f27b634ab5a6c53e82d216d73d08e3c139799178f807c0302d84a42b2cb
+GCD = 1
+
+A = -9c5251e2677831fcd399b0ed4bea16d773bdc82f28c9df1075ee50e751ee763dcf4f11724b72fed1082d460affbe4480b23d5d9c056cccf256177fa112170f4a781cebb07ccb67d9c58715abbd2b1678f5269b1ec390b032730d6040d2a6641152637377d6e02d0cd2cc0ead56d1d5b50d2583cd0fa0ea5bd39697b510e44172
+B = 4a4c65e59ddc31de1d1c449d338d736e8e3a223575e13904eb51aa8357a90f9284fe6597e1ed4bfe3efbca4c7a6932762556136428c8f005364421858dea66d915a7bb0825e1234e18d8472b9743bcaae7388319dc9aef9037f6b04bf37b1a364a14b794d1d3b8b4928515c23027d0eac67ad2ee0d76ea8456eda2bc09d5a9a9
+GCD = 1
+
+A = 5004e6511781d7c0a4833e4e5a5c45db4c695abe6a6e3bfb02841607dc8f228be8a3f18a496eea513e8f1e1a8ed9ba848b643fa75808d05a962c9169f7c2bd5a890a7729218c1eb4badf12cbfa61373bd034c71b94c2f50be70faf917070cd9921911d881658a7be955f358fb3280867cdaeb4b52de69934a4d741a949f9143a
+B = 207a7d2e93f97fabcdb84a320878d41b2f79d97b8736ac486ffbca7d261a906a8f16a1f6be417d49df024b84f83ee84015e4113515a8846faf6901972a5c44972e0fd82a18f83bb3279daac2c7868059623889ce1995bdfd530641565c29770221719ea602489fefca922a3335acb3b88306e1b1dba914617f8cb24296348468
+GCD = 2
+
+A = 1180638c68dffbd682ba0aec037cb3326d3b9894daa3cfb02cd22f5568c7653c8d33989eb777a1acd6fa0dc7150e9ed73e40f39b9c6f8b51eb0f7e50d84183dab0f164ce14b98be6d933edf7dfaa519669e6121186e39d21357359a9a8d6017b5c57706a6cfc07d31d6b3f105281783342cf135b2e0a521ffa97db383e2436ef
+B = 16b577daa236efc24a918a5fdeba337e225c86137abfda1cfce0a07f59171abd151b68dca976a30c5fe516fa08a376a34f77aeceeaa3f4114dffd0957a5e92988568b3eaa25627e5e91561b299287f10f3ff30c33086ba27a9b94efe6955febc72884007e35f3003d70b2649320fa644c92d866433915f4db22db93318d044ec
+GCD = 1
+
+A = -7b49594c5e44e2eb920072625f4ae7f4572bfa6c6397a76455cb4f7058460bd70bbdd829dbce99ac5a53daab8c50b25436269a1532babd83aaed2f78c6fa4e18f74341d3ae17b0e2ec0870d96df0f7a7064152378ef36ce3c5e02b7022f3183468993ab1aa309f14451ddc02ff2df5e803f4a110ae876462fbd2a328780a30b7
+B = e346503b86bbea8adc538a111859e577090de776d7b6268589f7fd5df46b6ff5e3f52a4c1660b883492399ec45c15cf7092a30812591840f90ac93c49fabc4b42919f3c605217070b0b428b9bcf2d44726e74de487553832fdc842e14bf7a074a48d6e2732fb628ba75b60f400e296f4fe6c6f263f166eec1bd0a79977492d8c
+GCD = 1
+
+A = 9129392d1731fca0316cc58ec96501921568230569769b13569874b56f9d076fd5a01e4f35f32863dafbb3a882697825380176cf4feb8e660fa4a9121586917f0ed71a2b68cb7608e0389d321589ef9cb324d3e2dd53814042db6238798f672f925379661fbbe339f61670666550cd198a9eab6a5d0df39a3c28438908e18101
+B = 7e20839dc334aa833593fbd59d62e050e6545e5caf0e5f380f329f836b2f98a24dd692425a89dfb4072c64716f43de0ca0256b252bf929b17b61d76f7dca91673063e3c2dcf23f836b7748340168614cdfb60eb486eba92a809efd2f9d61db25e7fa293f27b4dbc1a3c7366679d856878a747d59a0621344a541cd97ce8f0e2a
+GCD = 1
+
+A = -20c565ee8f7ad4b06efb713d4ae987f9547b303a2f679fa5723683e6a413be1c62e221378e96e15a4ddfc0f8397ab1edea2741ccfbc72860120e95bcebecf13d4c5a9e05a1d48ca97c8939eb73b3a46d2e0848e0e5f5454821538a788aa12034d878a10c6719e7e68497052e4ba17c559513b41448c6fd683f01b237a285c73d
+B = -2e4f817928c78c2f9fa5daae4346407437c5c386c500c3cb758afb75b064d89f022b98c8e3a4b9947cc27fbe396ac8d7884ff6e4f33c1641fd28c1f69deffe220b0180cceb5029560c78b2748d418e0d2ddc22194be0bd9163163d95c0574a9d4032086122bf6d106b746dd41d6573ad612bd51472a2c23a344a034e21a3f8e9
+GCD = 1
+
+A = -43f97ef65942bd5a04aff5a2ef0c6b42e744185e6cfc01eb434c41db7a30e035fb7bfdd891be1b343d527cb01a3a861d1921f92f2e5e271483051bf1b9838d6df928f807c2e8bab9af2376545b793eaee1ba14e66f97a35a3141cb9063d28105e2595388e91fbdec83d24353c196a99984c4bdadac4f377556162958063fc67c
+B = 7d14c95fd913f29e8df9a31ac0a9958abe7e6d59f5d09371dfa4df674287e85740743122018f77ea23d786dc38fe5954c4b39f8170e7b0fcb513cb8813be7c078fd1142664662a5e22b7c548c38fbc2e7eceb1f42d774eda99ce5fe6adf1d25d0de9a74b0db186130a67a8c638f227f7a1cdd36ccc31e28883759184b2693979
+GCD = 1
+
+A = -775be0fc4df8f50171bdfc95a5dc848f827bfc58dc101bb1b08c79240eb9de9e0aff378befd46c395abfbadb66a2c7b55767946f457e2851e47f507ad623c18315059b1e59cade01d9aaaa32eb2462be9707a0e825a611ed7fa31102ae7cf6f9e0c589c26909d803a68da529bcdefa3181074ae23c09e16b051b9866b47b4c4b
+B = -a3b6cc062228ee98ecf04c67d27e6e608ef259db854667e826fb4d28065d584723da9bf3690240e3f587b7a90e70216af227a793f26669d306a4de8c10d9b564c648f709fd12a2dca20221d9ff576a9398b878a1513f96e11958da940803d28dabf11abb7ff940b6f4fa697605e9c9205d1f858e6062dbc0ac356bea1742bc24
+GCD = 1
+
+A = 82a42f94197ce8f002cc7109fb011d4d839acc4d1611cf21d6faac649b94b602cecbeaded96206816c417666c74ab14d4e0cba73adc0005a891eedbbdef97651d486f021edcfb5cca1b5aaf35a91bddb0b2c19615b20201b1fb1106fea844ae722a6836d388846fd2886f45a29bc341039bdfd8f3eccca247495aeb5e37fce1c
+B = -f43db37636f5f90d577e81b3a386617db7934b4a3f929e069cb98d71f4db3a786320697efe8e829896178ec352359ee411e2f42b53119297a66355b32b630cad481bfeb37e00254f4458ba006ae2b7381d556fd59808d00619aa902a484405a8547fce6540e78db713e8ab010fe09b0049d0c2254277c4bfc6fc748f3bb5ba0d
+GCD = 1
+
+A = -fc5ece215c712e69a60dbc15b5ca83ee381141030d155b322fcb23363aeef379b7e272c919af83f9bceb2b6b4324b6eceec94628c7b36bc7d9a3bbccd01c3aa7c0d7d4277c332d2ce8eb079b651f009d8896da4f4e6706ca208ca13664ac930fa707c1339e58aad5047e2b7d34cd7984cb3230546434f18ae2e00bacf2f1de69
+B = 3d1cfe6f55721e46ab0b4a869f354f3eb7b49a76d084f724db604d0f2d0525e7207f65933283cb2feb8131b32fe384a7023bbdda54d331d99626e16d41ece61c9df2256b8802706bf3f49e9eec73ca4a2a77242b238f22d312bd298fe643a6baae9533b8be2a8382b2b26448420644e17fc76c49f1fb47566ade430bedd093e3
+GCD = 1
+
+A = -304b9a1db248f1b534112b3a62f4679c4564277047f07494ab42385755841521cec3bddfca8f3c7860b2ec5ef67128f95fcaab7112a32fc332df56f5c26e20cb7b6e338fba11743853733d8b743ee8c9db24f179c1b8e0ccefd190288bd6aadeb6c83142e4820a8546fd15e3127d9b1855fc472afd4878e2925d82c118ea995d
+B = -d2d666e855669e676f59ab900e65939bd20833ed8a3510405e74178aebf3fea12630b8c09e208515acd1c199d96c8e3e42993bef315c64bfd0a06a2cad92f9edb04e623146a6cf74aa12b65a90d73d565661c340914a3b34757e89390268b9b8ec2b6753c7c0e0b39ac2071d33ab9ba605924f78229e38417863d008e59ab0e3
+GCD = 1
+
+A = 75e9642a674b1dcc66b17f15f3c4f4fcf860337b21804f5afe44d42082aceb17d663252531c8434e0cc197429b491f0cabc346d69b3a0d5b558927a4370a7d615419b85e1c435265e01c99c6fd9c916d47e587abf7df5af8dd4df54d666a7d581897b2f6458c574c64eb2258512ea7823d0f6fca7015dbbf7875a6e2bacba638
+B = -ba871b17116132fd6cf9bab257d2857662148bd3becc8ee12629fff8f64cb11cfd69983ad203872afee3a4d03d847f64e0f827d6ad35b30eff5a9783e1d91a0af415d08a7d6d762e1181efea6f0f9373798967b9d56dc39166d19cf5e4553e8b94d7c9ea252a7cbacf2407a8ac486ea9bf528534b6f95f60f51564fa7062160c
+GCD = 4
+
+A = 6512d3ab4d01cef3abc407772193535240a5adc152b5cb66a5901afa56ef8423eaf89003da39e32b81115f3f272d48bec5e68c4b4143b3abaa1c721d48b5592a599426893438925d5c41af167c5cfa49bf209b330ebb8a4393ad459c643a976ae6bf394b332def554ba2be6f3fc5dab010692cde549f3c060768f8774d85759f
+B = 2e6ffd2e1407754b7fa6ef98309f3b5eabb8e0ef19f25552aa0120c67a47cfc538c31c8ec4fcb47a42a94742be77ac4fbb205c7c6bb2002bc1bb5ba23fd089e98fc09d4459229c84321d813d8a238d1283c3a6a34c068ac481b95b194150dd649d4e35261476a10c36652ff90f2e7eb20ccb65f458dbabb6df398ea81256daf2
+GCD = 1
+
+A = -13d2a568f1ac69f569ae28d076c80e6d81c56cd8a5c201e459036481800e2accb339cdcd3680f0a893d7b644fb29e28db25e67cf283637d0bb52065ff88399a13c706740934e9022ec61a180ac31eddfbfc47db9e074a6caf58e9b94420440e1ea731ffe7789a43a4c46ec12972772e077a78e8ecfc2c96f164fe68880c584c4
+B = -22078c08005d8fbc1e8b2321384659d3774a00594b032b89eb144e11e8d1765b1358d4bc6d5a2323378a2da4b48e0ee2babf37e87b587dda73a9d347f26dba4a9567fb91adcc00108485dcd676d0889c0aad00b4c4225d9fcbd0216fbd4ee10c92be9ab175536ce7c15afc1ba983566ab82feee2d93a4406ffcdf1e11af96d1
+GCD = 7
+
+A = cd47224e6a25f404048e1b672fd68b342d97a42668f92329810822923b0c499ddff351336b85ab63594e022357166a35284be2723126905e788cc8fc7bb47f5495480ad9a49aeaf913f18c739c4fd00cb85f4b9d6426010f6830cd4e3d8ef7c082a199891824b83d2936202aba14412ef068930f69e18b48c423805d8fce88d5
+B = 4a662b8e37b7467cae23d99c52fc8ec0f998cd064a36c1b5eec049dcd44b36aa960160cd6aadc66ff10178704df95ec4fe5e0c14e468d026ea3a10492c5babd29de256ac06ecc36b82209101fd55650d0abc30b4497830bb2158af15e8b9d54d31b52d7160dac777ce9826633c50618797ad419dd4e769d74656cd0bdf22cbe9
+GCD = 1
+
+A = -9c7b998c8753061ee14ee19464ec7cfb075e02c41aed1bb129702f3fd5481bbd195f628e0f0e9f27931cfc107a966b55f537ea010f01ad48357b5643d96bbcf54c37d447c79d0cfd8fd08f70cdc1c97bfa1f515ef4bc10a6eebd3b9bde420966e507c756da2c02673830027bf4d6fedce14377c3fc55e6bc5e809d4f949e4a82
+B = 2255e99e2ab71f27df9deef84ef46e56dd42ffe6e10befc0d32d47fda1f111da546327f09ab1a8ff9f761010cb23ed3ff1388286ef19044f3efc0a43f8150544d88e8359bb07728ac35a1e5e80b697ee3ca120f32f7f7817c2e65ddf914fa6ec5c209a337705ef567a558049fbc4ce1a336264530e2d02562099ec99ed8bada1
+GCD = 1
+
+A = -41e4259209ffb0bdfa755f8281b2eb5ee8f16f088091b91c8ddd50995beceaf112445c712f66d13b80bed00acc986ca7ddcb27dda0ac47caac8355e17a67736cc8c0e297f96547b29742f835e42c45e831a58e00ac5c7aca18c8e49df342db914ef0be4954c020c955dbbaf9f3e93e07c01dbcae018eec4e8544ef765a36014b
+B = e22e8243f69740f7030666c886853628d4352e6ce9ab11653dafe30127ac4fe86872fcdbca9bde6d4cf36e223154ef85ff43983e46b09d6edcd7a13c3830e80f374a6d08577925eef2e594b47f858d528ad21bf5748508dc83ecf7d3e86817cfe41c8a9214ad1c29fb49598107c275e2e3b2851d485a0bd0962e8ce84341eb6f
+GCD = 7
+
+A = 3d4d6c213dead6ae9536b0834ad7fff746dc5409d52327b58d65ac2a56dcd892a74c78104b516eb63838e3cf9d29c3cc1d1a1a2154619cdcc9315113d4216e68480dccc48dc986a2eac133ec5443a738ffb9a2e321b9ef4610cbe84877d732c68d801c587212076b8e9b28f1d7c48360b84c17f0ca8240a244b3dd93b16f73f2
+B = -8ab3499ab8a349672d7fc047290271817fc88fe8fd8c717a2b7f5a981e17031ade7d37d33a3ce17b2f8f1d0e522dc7f23c0767e60a31fdc70be1edcefd5bffce598cd7619384e8c0d326790e8ebb2ea511b20d2c6fe9a2f3d1706b3c0abb02711dd210db118018235f9dc6e76b61971b768847706e93723eeb9577b13529f6e6
+GCD = 2
+
+A = -f8834743ad62287445644f9f6e1294b4a1c758deff4efdb833c1913961a26c03e098e397532fa83597b813ee64eb8bb9ef783f08776bd885bc1cc19ee07e2d45abd19a3a324b73f83903c5dc8b564b8e257f17e18cef7cbcd5102e7a5d6bb6d89b219f19e6a34aba1d455fb6652de528d42848bcb67cbdbe59e5b336a52a37b2
+B = -dc42c3591ace769b102cc3437536438de4eb2a43bf8a8c274801d0c72a15cfd5c628bd7b47b144a4826ad55d1fb7f5a5cc9adcc295fd4bc02ea2d14302a2d8e0381a255bea31ce43215fada89937c2c7750cb149940f5f1700b0024a9539fb6b6e53c87452cc254d96a08205f6420b7e14edd2ffaec52a774d5ab26d6df1a4ea
+GCD = a
+
+A = 8d0680b4e798e423132ff0375ebd072acd45e0e642e3c127f2c8683558816e1d3b870efabed4f80e82f722b4cfe228e5ad00ac354568213de22114dc05e8c7de18b2befd2d1deb6cbc4e4ee584f9aaf99f8a5e5084a2b0999c51bfe369d05d0d28e5c5989bf266b5caa90d335d2d71f41284010b0e7527e8582567d3acafa885
+B = -7473f060eda17103bc9804528830fd200d276391ed30c4cc665d503c125362f43ae6287ca40a8726382ee2219149570c69588650e61baf1a0fb9af9d3fec41d58f27a15df936fd2dfa4b9a06c1f0a371a24ad127b3b3c52bc5659390c3ac6813305fc852f3a8abe25fcc492ea23d624b5a2873e1143fe8e75a949a5b21e698ba
+GCD = 1
+
+A = e85b1200fbce33f3504f7a367b01f270ea235cda43c0b656adcb5e3fda544c76ec403151aaff9ee0fa909d8d41c0d9d119f097111843e971da8e8e66c088b12a71464fba781d5c0df5a368971d0b6a00e961b55f6bbf55a4c32aaf9dbf3bfc2c71a3afe3bceec91683e36336dc2d66d9123e3d4b8c870ad8d925372ae716d249
+B = -2682ecd58cf75a3f1a97fd0364a792f3a11da355af5a0104cc814e6d3f21e14e70b761cd4a51a47f7485d8daf1473dc535a21b941aa3e899486dcabb0720a33c1acc0ab4cd1b2db385544aa43cb8860c2d6d7971a9c7238d5f7027387fb088013497384a408fcd9fd2021952940fd492fa02faf10b24ccaf0fdbbcc3687b93f9
+GCD = 1
+
+A = 70a970db644a89cb39124b0a890dbca5b0e07e81169a4c8202ad20bff01a46d8003b130e23af84daa919b53f6c17acfba6726a84ea7664289072aff46c5c984e2971152e18d6cc6f52d1171e1f6c5ccea42db0e4b44a8e5ef5aaedf8f3ace469eba2dfbbb19f1843d11f46ab9e20ca085ae4f029c466c519d92eb9b9c78817db
+B = -15a56f26bf32de8d92a618853a4ede0ed62b41f6466aed56b79b97847087ca7a43d1b8f366e32d776c49c3b59beba5559c2a38662576fc20b6efb78bf76d2b1408999f0d6a74fcc9306fdd02a9bd6e9e872965c98840340f6f9a80db69ab42698dae341311140749184a2ceb8b58f73c2de7396ddbc0ecdd11ef62f8e1b035f1
+GCD = 3
+
+A = -f14b60a87beefa6c57578c08bf63fb803652fdbd687fcd05c215e80882cc76cab77241a9661d4fbe68350c96aedda89a041cacb49dbc0f415efe71153289ffd86b585df721b0269bc550960128dc143a8a779c9b4e729fd29a3ba6274b0f1d6122f05f7baa1171673210be7bb523ef5550a7e0943d61e8c247435666a40dd2d7
+B = -53cab2c18ae5013e477ab1896f728de743bc572cbf1ccea6f423a4eb1e9d7a04a52a1cd61cf1fa9bf9fa87ad22ec4da82531353a36071fd96f1ddf3999b1d0b55a43b810f36a040b0529546ec495a8da1fa174b274ff40cc18b57a43b4efb8e4fcdff42d3553db1891ca533b118bd4bb5228fc2f7cffeaae1ca977087a317e1c
+GCD = 1
+
+A = -30c47419211671851c1af0996ea97fa48c2c46a619ee126aeee5b12f7dd3b06df1e78eeb8b14b5b82dc24f73e69b65a2baf32476cb1585035ebee4c1fab98486434fc2da9702200cece572bd376f121ce441f901272dd8a9631d957cc418efbdf795a788e0204ca468ad2d81522d449e5dc0ebf345cfb5cf04566b504c4871e4
+B = -2238c5087a800599a40f927fe2dfad2b950001ba0148f4b9bfd4f269c12e637367c873b0bec97977b8f122f6cd7669a9af2ffeb712c7c13c8edb8628c675e44842fa5a1a895ec4f116ef9cfd580318e078d77c6fc18af7eb9c1dd7d8bae7fa9e1f0affd494ab624d1b146569dc920294044716f91a34b5554c2eebee9aae42d
+GCD = 1
+
+A = -8f5e734316ba03a2dbe3bb1a6d4609af5034312545f958094f055e02d13333e0ea3114e0afe1815af8fd31710467892bb6b82ef478296545f30c554a9c194ce59b423850d9faacca86a8f60554041c4b579c5671609859cb17694e473b447da40f0c33cd1cf89d90f3cde874b9ac3deefe86273dc248d073a7d73ee009677429
+B = a4f326bf0af69ba18bbdf4d38fd5618482135338316674344c5bcf10c29b07562aae8d8aa44563749add52dee2bf58ca7abbe5ed1457368e0c6f27542250f12af5ec948a12d792da40225fc6379aa1b1eec1feae26bda80e8d7170c5c2039f8a8ba9026b81f97df625e5264901ce3febb02fee1080506903a44c286e1dbb02f7
+GCD = 1
+
+A = -a40591cdf91de26b487846e0a41541f03a266b07e8efc031a60ee7cece0f86e0284ebcbb57d2fd1aa8b888eae75877af379bfba7ec58326560cddf15bbc469b96b32fe1130a47c21d04fcba347a4f427ad75d07200329b1aac3553bc21e73b6d9e26685995807707ab5ff52c6c3aef00d95e778207c83cd727c3f67716e80064
+B = -8fb67e563344508261c6c8fe8f4ee855fac133c604284d98b0d3043c9ea0e552b48eafec7292045ea248006e98ed8b77d3fbe27f8d5cb1d7933c1d2b9787dc8cd747a706b19a30a57f0d070361f6eb866c70d1deb76abd3d2227e57c260a9bb91cfe2396f5911013960e29c1a48f755e9dc2ef66b2360875396d85311f34e82d
+GCD = 1
+
+A = 3a5693a85c4f438027458cb30ae5396b690b0ff23347c786ffe7231e60e67e635e104a3b01bcb25ca51a3c604591b37ba494820ebf5dada145f1df3733544e09094a42a97d4989530c0d67ba57ce3a49e75e4986500abe6fbe455611dbf743d6281b5660d7c5ff0274909769c5ecbbc8e5fcef0a35dcdae7a5d8e672cc228328
+B = cc048c716588c40f593d5cdef7a97db2fefb8add52c70d00ef30f9e31d2f2db96cda9b19aebecf0908017782a5a63693ebe60b356c53acfe18d95cb81fa57a50b2a9fbc737fcefb7132c9e1a918ddd8031faaf5ae382a0ca3a7915047fa6703ecec159462d866c67b9b2dec7e1cc24cbdb5dc305c637f64cce54e9c1278cb151
+GCD = 1
+
+A = e468320ff548ba7074444dd778253ab277afb9b4432b08690af12b62941746bf7814050ab479d5a0bdca6f5038bf0d881fc66c3b9dce0bcf4f5a2ab36e19342037a3dc43895af88065eeeaa2062385a2746b0c09f91834fb775a5e7aa91755a3407efaa5841e1dc8949dba77c6b9ba7531edc2af0673cc6ced0a9230f4fd969
+B = -fa4b86e63d1d3267f88354bb06d59550891db99419ad40234576dd72e6b1785a76be0d2d3ce7dc5e0abdd2bf01fcdac297a16cb5bb293a84484586eb0d7937ef2a79e6be9a8be96e6875fa9a89fbd51966056400b8ae794accf6af533e433b9092148b6b2139d685bf29ecfe090d6fac137d6378251468715d50c220bdf564ba
+GCD = 1
+
+A = -91e7b626d52ad3e98ef15b7c5b995614d7c1980acd7276bbb79e51a6799bfbfebbe473e809fa843edc2a4fc5e00a14a7eca5ba71ec233358b8859ee051ae9e68bfdca6b6bd75daec45de9873ad73afef8724711a897eeb40e09e45ef48d7078dc956998ee1ba7ebc8cbaefcc47605af2dfbc5eb780009171cce20bcf95b410cb
+B = 99ab8c668d78d3cb3e986daed70b81b4995d1090fbf578349e62c66f5546018dc2d4b2f9f18c0ce478483a2f8dc6e45d807b3aa4bd5b2cd68aa1d156f3b9211c1cbd2faf2c459a54ed3136560c7a7aa2c0dd4da3fd8d8da8ea934b498b5689a3f0efa3b56952b35eb80b42ea384eee53d1f9767d0ebad2900cd149a518fbf8f7
+GCD = 3
+
+A = 78a6d44c588df41f522ab06c1779649dc525538f5538e34b1fdec651661254f801f2382580697c49d9ba653c368fc9beef86876252cb411657a386491d32846c898bb648b23cb58d175bac519796f6f8092ad5b0fdd69ca132b129df0ab5ed27b637f6b080cadb6ab5f7cdf0be0ad61acef2b1fb8f70d417ad650daa26d73fd9
+B = -e34154eb0a91bf637a7a3b1f13bc0859d72227db3d7ec1267a6bff10cace80aadcfe86bb0c83d421d9b675868fb59e7b463e4c538df5dac6566b9b1551558e886a41c25f46aa478a70305e547786f966571f22439929b5cc940639d35802155bda1f4b8ff4277ee25035251eeb02ffa3451b81e38c80790a7e099c111850bd83
+GCD = 3
+
+A = 277ba648989987c89d0017ef02818f51f8202f2a5177719e8d210224fcb5e1ef3a24ffbc7084fd02fe0bd293bf732215cbf4cecc302b4ad57441ef4a9e17ec3afab8c49ed41de7fcfcac5399d47a7e89b6bfe925d70310277649b8a921b0fb05102c24b0d783f2186049ac8f55f02f94bd7f523e8ec47f79ec4edfcb67458b13
+B = -f240ccbbb4c09e8c019ddd674fbbec2ef862030fe21c0eac295fb2efd6a937ba047b184fd8f495aa57ab633e571ca1f7782e43d8f3662b2779c29d7c4bcee48ade58db47ecc94c1978fbb528ec8cd500bf08ffc28c4e257bb3448110308cf54c0c827264f5fb2cc4570d06fc0dad32e08b0f461d5df0bbb61a7194e1616887ff
+GCD = 1
+
+A = -25fc2f439faed14765bda423a9705cf3c321ab6265da25e5aebbcb2706c4a97577f0315ef7950108908cf844a7c6f52638814572b0ba1c26b6e0a031ebca0f71175f82348da8e9c80b37117d439c450540396b51cc4f7966d21b4829d6ee59f012114ddb89460858a9d353da1b84ba51df5c8f16fc4fc7418dbabd2335a2c760
+B = f1c6868e1cddfd371550ba9c4f3bc6250b9f46864cddf259370366578140ddfe252e36e82f184fc874f9efda5b4595f39067f04c3854f9578355a4a6ea7a74969529e5c40b12a9d0bd96005bea78f80f425d3ad4554bbabc12917b18dcfcb96ff2aca213bc0b9ade99a2dc81d8c03281e35f5e7d82ffa8e2b4cb771f7972801a
+GCD = 2
+
+A = -27020155555ae28e969e1f307e8dd0672d3a62122abadf7b5bfce320cdd83495734ecf7893f3611aebcca183e7269946ceed043f956b0d91c6a7b63de37314c8f9fcbf1a6b3b5686aedcb51b89f5db357a75ec4346911b2d565e8cfad9b4d8e56fe026323a599e2fbb046e334d0510528573c04c6b7e245c42d596d0d56e1257
+B = -3cd68fc1d0347e90b16ec92f6ddee506aea48575f3f2a615fb74ec19ef0a22924a5bcadb946cd13f98da0dcff4d5f8a5d5418ab4cf9b6275aac694e70092dc0b3a8f242d8e05901714db864be88c674d3a9331096f9da2ebe0ca350c792e0df9113017a98aee589c16705cc2c4c61e7a43642d9e814ee6c27e86be3a7f40e316
+GCD = 9
+
+A = c167d1e88e30299e9ef5c70eb75cbda23149b7d438c69066f321dd16c405369baa196595614ef9ee4d1ddf1982a3218e8eb448a43d4407ce49c3038efbcaca7f04254b885c3786f3e57fe4c8d1b49ec70c7687678211c7d7cc909eb17c9f93fcb8a82413314f7cccea01fd3a23cf8ce75b90bed7f6709e5dbcf0f62527b18d62
+B = 838caf24ad3111a195faff7799f02944d86fba1b473fa3ad7b5bb3a3a4538665370653c460d15dd0ad61f37a0a7a256b9dc15b936157b69a6df393de4a665f87cb4a75c62448f0ffef038ce3433b443e077105ca1598d6da5d192028355284e764fcc49c257c51f17b0561fe33ec4a13b5e28766997cdbc0f5d69538b40cd
+GCD = 1
+
+A = fa2f6442a580092ed7a3888f2c19145e25e6209581db175c4414ab37d47e0e01c15d52efa851169441b3f678ca896599fdcf0fd24a0bf54afa42d43c1ccdf3930955ea5e7499cd94af363477ed2c1ba09e3615e2c2a0d4c1fd5bba8ab009d173b6bea067d58a97246610877c3a5f9b9343f8abdd937ec59bbbb224dbf9f1f6db
+B = -b5c75e19d117f35d14ea948ce0edf3614e8cd7501ce4ad8a85da2baa084c1fb79857e703e2178e6a3ca4d0d5294755a7f420995ba85e435b60f30ade497b472507579ced5d60e58b60af8b452553e9998fe2d15ea1097d637a989d6a057f3b1e172e92fc30a015d6010765c9b3ac365ca558c6e545a2dbfbb460ea2f34d11516
+GCD = 1
+
+A = -c29401ee730abc257fd768e9c115d5e5ed1e9bb5ef7c3674b3ae194b89f5217b44c815d3cfb0acb68ba7c14ef3e8c369fdc34a6a61a0776c0caf77d8d97d388c64181d82d79ddffb7fea81f8fcf0debd101acff8cdd0fa18f0a25cd41e2a94d4d2c8065797b88f057aa035bc9d82262f709222e00ae4535ce39c6640e6f000bd
+B = fcd76c2119bddd7f4d0b12bf309c2c0d61eb99f04cb74dd211efba3d39c6e2a6769892d2ce4695545e8e47d00ae65d660c6fd475f80cf83f004bd08b7d527246b373bf492aaa192e4f40147d8325e9dc5af966326e62909b37b7b820a56fc236e277d764dc183945c8f2bfe5ea14898cded5a7b4d7727c96dbd51e5baa899c0
+GCD = 3
+
+A = 3e39eca99ed7b6278b47b2cbf1cf9a401f3b1696426d469e98db7b5d635189e1cf1e799a63291467bc37757c251a461c3763bd712dcfbae9306d76a58c2d07fad9f080910603d782dc6ac5fc8c56c4cd9ee9dc40226d65aae9543dae3dd400697c8f3335a458db60a02100d8e117097f9a9582759da8693d61fc105b83790915
+B = d9fec1b2060d911af5029d4c395f76b758618ffa87d9778a10578385e655ca711d907c3f61db67a6a07c6911bef7b27620b2a7dded0c70d5da92c31fdc67524ebef05086ed7955a2507bc627bf563f59fa7c36f777680fdaa9d25d369df44e869291196206446499c3b86e4a2c73f8b06a6ee0e25fb271ec64e8877905130108
+GCD = 1
+
+A = bd51200da2c3d0770c5728cca3fdaf620f14c5ae882c3d2fc59d34c12313961c7859546501afb8e3772e56f211829d6db907560b663b9e10bdc90804b601f8da641e3c4276e118e29ebaaeb87d8125b4debf937e07a4cb63facca9a1c0ad00f68289840a44f6532c1e1f864d235a9c17db505acb0275e2f2f9b64bf36b616a4
+B = f70ad24ea5364f726c3eec09aa298cac83cd7b2cfd66db17752e4ba390c772e9a30cb1938f5197867ba066734636ecb4089bb8cfd1ca2a889db8ba0ee5b19d614d03b1e9f1001eccb2e0bdd916160c272ba8b989bb7234e441c62b4a14d00bf2196f3634ecbef017f2d6271831db80931324642f6d8fdb6abfbdd7fe67a7172f
+GCD = 1
+
+A = c49b9eafced537e25f85799ffe36e98da095cc114926606ef3215393d0be949dcf853f00f9d4a56cc3b1fc3280a1d286ea5a185c1f8b439b03b8af825f9df745738abccb8a74f25a504b9c9eb8716dc84dd1b476573b3cb6f47b762f4eee9791a55e4d0d2f3cf7eacf87af65ee6059e2f43b0f743415e13cf8eb33c119a8ed96
+B = -a1f2ec34a2fde73c5bc7b990a064452085797da7bc8ce6856ce93efbb072d944635e9a770d883f9178fcb3ce2a38f34afa55ee6f59a688e7069dec33ee5dc5453a6ca24d17f6f09e754c1a106335dedc947e164bdb843de0f909064487dc283d90a6c9af77394602363209977e74ada675639e1fc25d3fcca80933818b126ce3
+GCD = 1
+
+A = 7b779ba7035f4e9f7f83cfcae89deb28294f1ecc88bc188a5d07949a99da2da06ca0cef147c46569ef4dc00923eb6b5bac470c90208fa116a29a1443c7c3bdc2ff2be17c2c76b585222c60f599f261f25678c7610444dd8f6367bef187f82ca8aa283198290e82c020bc5595a18e45d6371c5355402d5d39dd2a5e9ba35e3d0a
+B = -4f87c64d76e5778452a41277faccba96d955dbf91ca686a43716e507476b4093e1b159013d4a9b8fd7497b0617be8f21de9cf6127e94d71cd201ad7ee2200f30fc2f383ef1ae7e319c6e7ebcc30d227f20592ba9685af229d394b336f9e1d20e3f05a9c3a90493e7e6b3e20d2efd3b3498829ee3259f2bf03142cd57583fa166
+GCD = 2
+
+A = cfe99b0e1f529420242abd47b8c13a56c1e6c492db6ac75b7788999fb69e51fbb00d9c027103e240210b06477f1bf79090d74af5ea44153587ba88c779307c9d855fdc688c422a0fe4202796d4d3b273d2c2d60c0c22d22305db1be15e94748157a4a0331c06c189750f9a9d47244fe36d16138a6497df6d94db70672fc730d
+B = -fd8e7d819c4af7f84f57158b9b1f5ce65e595ead9af02393d6900fdf533dc7f9589c619e09c2479afdfa63109984d59406cadec2157b7152a2c50b04211776063be949270ae88d82cf28921fab1ba8020f05db8e15ba85637e1b96ddfb815cc7245250aa6cd8e1c4a2016291b6755fc83e98cd61774cddfc5e1de6c96197367
+GCD = 1
+
+A = -c940c1e846b0e625370161f33a37e32c486e9d45cc2e9c38e362a3e77e13122f22641c8aa11d3ca185eeb94b3bc77d5b12bb906875ee06734f848434d7d58d1c666bb8fb8d0546c2d00fd491816643c05616968c7a41a8b7e5b9de21fb7b20e94da9aa896243db5bcb9b53e0a2a9c14fa288754c352f5e78ffb18e73c0029bd0
+B = 69f1a766a98e27ed9d66f3d4fa2a4540d3fc3f4474babe926b735a3e7c084fd176ee5036d61da0bae4a517e37e65e724cecc73d94e79cef82bfba9d72415d10d93dce42bede9e79575ab6ec2b245b54adbec85517ea1243b9fb1c89c24ae62c65ac66f84da789d10ab3ef9a10e43dce60d8bee12e5fe6c4b51294630a6a17a13
+GCD = 1
+
+A = -618281bb5de3a32cdf4014834acb9a3de1fa10c5f60484b3f34f06175e5242062cb2f024053c3fd889f7beef0e5a7e3512e67c00744f979cb218b62ed637d1c0a75e56db4f71b09d1c9f75a00311a7fb7af7a7b8fcd02725973eb9ae0094bb9896b741c24f03234b3bf64d333fab7cf3b02895d02017b531461a8bd0555d6863
+B = bd432865f99d5ed5d8acd7dc58cffa98799684ed173afc34ea0e9ef6622f651ef6b7a8aabd45fcacf73b041c48ea04aaf769a1956a2bc7b6c47b9bac121776c0bd4a87e8e98ef3f91d2825370794af1ac22fee25a244ebe4ee7201c7f23065878dbfadd180b740c61ee60d0bb06a1e54d1cbd4378a6725375b53692293a202a3
+GCD = 1
+
+A = -b6d08d3b454bb8dcdd5fb576cc1b96a8326ddfa01bb1ff24b41a703ae9aaf860c06d5050b3636880529c2868959e51a2f9992774e32eb11ec877738b36f693ce369b1784ad0197a1b65f607cdd66980f47fd37c97d98a44615f5fe6590d780f89a9ccd0e728974e9bfaebc8f528fbf84a19fdb9c2e2f62a8c3cf338610f44095
+B = 8e47efbbbb4cfa2dd3be53ec2c4c253327c1c0748601e2f3d190ce5e7c1f601ec049a45618338f7ea99b96cc5825b3c429d4c4eb87468f7dd6e87ca42dd230262b618fa414e27dea2f5e0c02f0ac19d0c5312155e2f493f4fb33b2d0c71d489482d9024e36d329cf8c3fefaf1bf45d659ec36b0fa4e919242633fb156c09924
+GCD = 1
+
+A = -f7f3ca34f2937ee1f6f73fe4d7c97861f95f2eb44f34c31e47f31f7eee5d4ea9e4b953a109fff0559b934b2f89a4c8e92db958c640c8830b8156febcda82a9985d4b5f5f46971ff256e3cf5e96a5ce634b68a34393bb2a0fb0d5002672440ebb031eb084fbc83ba5fd40b8c9cf2b62f0f30a66c9e6b8f32740eac6ead8943509
+B = 4ef0f9c2209ddf98d89566abf4c573a5abfc94c5dee0704c4b22b0f013a232069afac798fb9a0240713704ac36bfd6c5543ccf8d2bec2ad83d6547faff19804486ba996d0c2f326777053681f8c1695a4163509c3e18a0953991883430dc9741b29aa73766d226cc1f8b05fadc735b84074a5ae52353ec113f264202497a61d2
+GCD = 1
+
+A = -3784a23ea6efbeffb28395b11676296c3a3327f647137a06be4a57cd4bee70f064434812c3caac0c7bb98b2ca2e2bde1e66a8026f380719fb8e1467aee380e07d88fa120e1cd826bbcdba6a1c95664f1b1d165543044e5580710d3b754976630af7d5745d39314ca64661ed25706d156c5d5dd0a6d20ccc2708946deac49a61b
+B = 7d262be70acad7ec9ca29045bc60fbd9375415c8309836b16dd06c22c5e3c56f563326fc2f77322559cfe63bd2badfc81a14624d0d620eb29a96fd62fa484376c87404df8ddefc49070d6bb63430e57f9a886e62606b2a6e77b6bd3e3f5ae2e73d7f18dfb1673a4c6d79e26ddea8150723cd898a78d8fd90e1ec9f7f10e98ec1
+GCD = 1
+
+A = 6fedc24b248cc9ba6c353261f5830d54abecd1159fb2df362c97a79baf8c9b122c5db6858663da286754835885b922d3240cf464c831ee660091cd78ffcbb26eb85ba6a32c2949b4fccaa24546ee8d14dfe982d4c864e9be378a9b4ff4b9da0fde86b018661bdb1cf76722e526d48d868dbc125973847d3c551ad260b81922e6
+B = -a0be9223c793c6857de0250f4288f05e1b6ecb93f802063fbaa2437a92d39975883edbbe4a48ad03ea0eea763ce6b4e1b1e47fe510f3406a47b1c4a84eef9f2267ab6643d4e4005456c62d612a84e0a99ab6766f90b968844b3c3846d93c01561605acf58b90124d91e45f3be5e88376deb304fe196174322e21ea407bf0a56e
+GCD = 2
+
+A = -619c08b252791873324f07417640b9080db7bfe159ea7c7e8b75080456d5fdc65fb13f9d4ce5fb8e4cb5a9f4f3b1f972b7067d5ced3b57eb88d01943e1a0566619377ecd6ac5562562f0b8e2820753e9c7ab24509bbfffac5a68c41847b5e96016fba3b04168f56311185bee2a118651f1fd0840564b364a981bd094640b9d5e
+B = -81b4e28ce0df6cb45f386a9115abb06f0aa4f707b6f550123b62284bb020c3f188f937770c2dcee4e341e47e23ce2905febc3100700ca227fe22d0965b6c64962e1ed38bde3e3299c693a30497a1c0f8e2639a25c6cadb5b34b0320c2b7ffd0e24371a19d7f1057e7f449227ebf2795b36755f988c184bdd83d0893a48d3cd82
+GCD = 2
+
+A = -5f7e9a7053dee522ddc0c991502f1aa42f1d9c5e92e775847b96150b9530463f76efcda717e105920ed429c65e1aca990b8e925eec5b3c792afcffdaf4f398a06a0d720b75223ab94ec6bdf922cffe224eea819e14c3632a23c1b92b2fb749f60e05d53c24ee9b4b7c0e72332c9c22822df32ed160a99507165ffc739d1ffe8
+B = 73fa6bd399ac802ce4d9c5700c44e7ba28da2a5698b27fa828c67ace56ee660727f9a3672e05e6f3946be233bf0f406dfc0cbdb141c6d9973138b5ce237eb7aacd78c7fb4498ab1f183ff91fa2dd7d6f44f7052004057460704608f23d27e79fd9be41a05294c88bea241ab7e7b8d934ab419b36d15e71c117e96fbe9835c1bb
+GCD = 5
+
+A = -542e12adc48143ec459693957b9a61eafb545e4384fb430f8628b9c3d112608f1437ba9e9a62741a0e4a388332993f118bde0e042b7d251004c0b2af51d3a31f42b68f2c124f4dc10da1b3d7c9c958ca4efbcccfeb69378b69d5f0e67fc91094ff14a6a19f566643e03686ef6130afb602dd063d2b95cee41db6242b812da9a1
+B = -d2a9224127ee5ab97ecc17116c598e21a62b0c4cd8b71be3d89984786d3a8a87e3c5d7a7e552f609ab2b26990fed85e95f445ad80cd32c8008df04c1dc3c9d5757900b3ad9e5d5a5409139eeae271215d1f0a7832349d3115ddad3aa33b0555e9dcbb6dc80ae201242868f50c6233196c7740e3a8877bb16b805ea43f4604e21
+GCD = 1
+
+A = 478f222b9a864d3cb794885169ef2f6343c4a890d4bc21fd3612efe2b69386a13b126b69ebda353797199350c175939caa31de5d0b01a345cbde438029a5b8b64e6de21cb1957cc236fac64887e1f56137599ef419c302a7b1774f89130a585c90fd0521bce73439ca2b63692656295f3aa82022c24141e98a285d7de6dc48e5
+B = a1edf273b61031f7fcf705963a300b855e3120e574818c2b3f5ec096d0679aba1103551df6ace26461a9eb455fd7114db985a06cdeeccd7ad6b22167581d6830264e28b2561730580b48a8e81ab2d6dcc53f8fda79a4bfb7c69fe20a768ffc943ae62529e142bdfcd148bb4dfdfac808b70eac968e0c8d28a4c1dd1e4eda70fe
+GCD = 1
+
+A = 5639cf8f671877ba7b681cdca449159cee1f35254d224ba447eb223e7985dd714854ea75c43c8dbc0da297505433ab6e8450f244c43543c27d81a01804617a5307ebd112af15c896b8432707d26f6251a4c362303bfd839db699df07ed79ad6323cd75ce65c58a99fe63d931f4c97ce3e60c77ad1d4490d66e01ca0cd02289c9
+B = -f29c9366b73050baeeab2ab07367396741fee501f0205e8fb2a41dc4bce2fedc86dda9f4043a089b22966cdbe11211889310e700de5f42b09d36e48d827ddd88972169391db1896e6e621fee7c94b72b64dab6a9d35ac2b1c446816e5db9dec770a5ef4923194dabf329a13c87ed3a2eba2f6f2912da9e02ec0ffd1c48950012
+GCD = 11
+
+A = -40480842c3c4ef4d5b7f9561d4d21ad617380c67ddc6ae861091ebf36fd2ca8939f11442838b6dc6f3e96503a4ebe3f6f7d96089c5cce5e0342d818edc08184299ce6695a5548149fafb818f224c9d834363f286e39461d491999e122f210def8acfe89d6223ca427802779be936d20ab275880e4cbe8e3f903f50941f36db63
+B = b17d57ddd939d891a688ec98b898ad4e36601f5aba8145005ed906a40606e44a2f21e51dd22d1a15763728c3764922e4f2d80d514cf0f2c3fde727ec2ecb3a015cfafc12531e62136ec10a6ba0aee7726f5241ffab7c6455519d7cf44cdf87944010dd8c0e19509949bc0b66e5df48ce3458c8655448bb42e0843388f2c69f06
+GCD = 1
+
+A = 8d98e252f4d11dab689f23e3af245ae5ea4ba545fe2ef2c8b4caaa5e88eddfa1d873e2da792917c05747c68db67d56d023cc228274eef3cfcb76680bdba05e978124533ccba71c9dca8106e113738b6b6ae0b1331389fa9eeb7456cee6531c69214561222549726d0cf15aa5953eb0fafb0a1cb3c33b9cfe55dc74e4a32f67df
+B = -31ab94aaec376c4f17c63e7fcffe8bd381d10ec2927334443775dacc0a14ff1c7e7a77e56e868b4f977fac8c3da20b0bdf4a1ccfc0b5b5d78dadd5ea655af91a1a5982cf92ef22f858dd723ddcdc96bfd809d44e7ad7d4f92df95a8207765b3a37234366c9dc362344f7997f2a1596337956723ead10a8627417d9d213ef27b6
+GCD = 1
+
+A = -320b45099e6a66688eabede6622d014d890f2a06c6e2830f820b9aeee8435c35e8ea683016a1615ca7d4e604136b968776d044a94a18af819092cc383b07bc9785ed47bfd3d9f73a524ad6829e729fc61ecbc6c48e469b587689f9c96e57a146311dfa4bf92711be0fd69162147b019b968ed4afe8b2c57d64a5df39db013cd3
+B = 92ffa658194707854aafd92140231d6fb3590d414b97a82b2fd43d43695f09814b498f5f6496f64752b2c6796632dca417991fe3b6b9d6beb8feaeb1a56d1e9c45ba38de64a302f10e5d2258b4cb83d2c4dd0b6883e1a8e423655c41df31905cfc6263d7d5e2476904209eb6d18a06db87cd2b8c5e2f774ed897107f7f1e4f5f
+GCD = 1
+
+A = -5741ed6e0e435d18de08555c70aa54525368172faa6963c567378eddffdcd9520dd889a1b5d4240cc99c9d221a868cae16fe0b908b486f29caa80e8a345654068323f07e60a50cc0088bdc39c4391ba4f6e55215746b7a0abaa182b53beb82f637eaed0de6b482524975b549ec51cfc2132d02f30faa1b4aea3fd1a81264dc7f
+B = -a337f261ec03650498f7698a7d2f528ad1968fd530f1977da49693dd8f1afb5192d1f5aedf0d23cba910bf013f1e7af945ab18df8340352f11120216d7bc6fe3c331c7a3f4cdd75179e547be866ca867cab2c32683f679fe06f8d3392961ae5877fd60ddd9d5ce1757c25d4e5108d1f0ea75f8d33436a608ab20ac561deef6f3
+GCD = 1
+
+A = -8daa6ab6a98241735c878f1b8c6a001df49795561216f648b0cf9455b1b01ce4644e024cd46d117d8c57796aa46e7a60e8ed51503d3f044b9c071217caad72df3733ce1f1e077aa830cb8f2f2006ab36c83ac1b17f02d631097d177dfb8bd218d6495a86977eb25c6742d98f55b6bdb330c23216d1aaa511d2f177b7671c6def
+B = -15f573bfaf3b1f373ed67bea2673d58255c6aad8e3d125109f1820a6370b6d53d940cf1136560bd59d76c77732b570138304d0d0de84f89892770dd4fcf23843315f88f882decf5349b499dc431dfff2967d5de8120ba02566e877b94256880a22bc6ab216002052740d10b1cb4e5c6eaed94e55a25f36daa5a6babfdba1a346
+GCD = 3
+
+A = 7c699aa2e2526acb7ee4886483736d4d665ef8337e61fe68773735478a155264970df364965dcd3f3472ead35ab7037c488d114f8316b25afb54c445c803a9cdcbb85bf68fe8d339080f04a232dc1d704cedfb11267a3588983d6747959b7575ed302c4c9a22cd930d28a4326034cb281fc227f600b582092c54b7806d9d7d17
+B = c76516579078a666a4d632bf19a15a47a1d3fb48b03c9834d7fbbb84fac67b4182b3d0521625ff7313aa0f5db0fd7ef5fcdd5c4067d97a947b08d77e8cee7c63611d7cfbd7ada895363402b73b2af6036a3036f6be80268b6c4eb6bd0fc30fde9c6575e9f31d712bca37d947ea2596f0c074cff08b68c1e4e7c62bf0942f5daa
+GCD = 11
+
+A = -b5d722dc81258b4d6ba87e79bf0ae3f191bf5139848bf113ac779d633db02b4562c6ba0a8d2bdfa46065ef1597d5e3b5be8568a9d0bb78affd75af4f3d275648145e1e6884548380160e36a99d709b123af2cec8c388bf090ad1683182636f969b8956ee7633889dca7cad3aec39a86ec76557a230443af99344e41e3d7f8d7e
+B = 3960dc516e526fab4cdab76232384b2a55b516ca9bc8ec1dcf63d06f71a70a572290dca3ac11c0709ca5fb29c19af4f1ae0d2b3b4fb8102a3fa751fd91f720eb7d9d94bb9f12d2a26947e037ee6d31e4455cf597d51e3ec3046c67a482a909b7865e6126d01d6993bd447d6ededc17bb1ef2f90869bcda8a950223a25033b1f1
+GCD = 1
+
+A = 538e4164cc0dc77a0db1ce24a591d97dd844596995036c592cbbf942dd7481723f76e5474eed9e21ed5147724bb764ba440fd130014c7362bd9cfcc8315b2bfad71b5238b194b65d96011fecda888e0b4213deed308ec1a36a3274002ddfb6d568c06a02f7900d182b00eee2f190b98dd7dfd1ae1ac1dac5a1812917369083eb
+B = 28c94320020b50021c3293320427d61b5e1e3ac44c763987c8637e3ffd826bc1dab1e077d3fcf9a0342849a527674540e2a704ca719583b1b4b0140f9e1bb3b44be8ba91c2577640e328f5797cb8a6b87b4fd572ae64496cc75ab6fdf69903d47919af72663d850b0e9cb0fdce5586b3f8755e26ca72b47066589a233a4058b
+GCD = 3
+
+A = -d7c9689c86c2c1aacc998ebfe48ed0480a9a0d7500399bc8bf6d29dbcd47d29be4ec52a8a559a042047661f5d08af1eb51f2ab7c12dbf5505eccfa9dac5c8e239de2f49adafd20e861e8ba6366c62a5dccb3a6885fe0eb87df701f969676f7b154f88e3390fa530a261b5d07e336f6587c63cf95ebe6fc6581302e48d641cf24
+B = b905786cbfb32e6b8daf2a58c25f786ff956937def8679f623b32ff3c1ab7e1f1453f192f47bfd76c1ebe513f3158e52d2925bdc710fbd90cfdb34df9c06cc8c277d33e7d9259a2c12e6875893c59d9d95998585996e14f8c30bbae0bf1e226d03eea2dc0d69b302b6129bc9af4e3a44c0d86ad913168de098fbd4fa0700da18
+GCD = 24
+
+A = 8a2acba391a75a2b7727d83f4e67631ec10cd74476bee8c882281480f44fea9408e7a1499b46079b045d85af502f2ecedc3e630da538f818db0858fb163c2187b0cf1b1f23c3ae2c273fb9fe668c14b6d9282710992c2d86e288b714a75fec1f329c74a0b0921251d1c47fa95c98df77bb9a5b159507d601e50f7a104afc4a0e
+B = d6beb6626cf585023a0a622d8ef5343cad5f57c4e0c2f0fc0c0e7508d49ed9acc0a7f12379f7df61a1f419aaec71193847ead7cfe5a73ed925bcce0097b964d09f9ed0a64bf790a44ebed847415012d809d9f1ed285a5fad05ed66f42221f91a004ccf203dad709de93d0adb1b1d9a5cb275b520a61c1366c849e4912f8c6e58
+GCD = 2
+
+A = 4e6dc0bf488cb214ed0f82cff9cd692233e78808e32be2cbbc066cd86ce29171475c4fc784f51b7b29a21d57acdcd1c0d67401860888e14618705fa78577367a0bf904520b979627620ae33045fbc66050e111fe7b53a99e0faf2dae09d4f177879c3874c8a00674295dd35f9a4b25ed1d9139a1425c56e21ac34222bc8011db
+B = -98461e6cb7bb527e88cacbb6a37750c0839f9458094522fbce1ab20982aed5f810f65b4575e820e9dcdbce1dc98e031a440378dfd4d820f7cf555cac796822581323e8cabe5731980ccc2d609e13d1c92e5fcedc4bc657b4f6f60f0fdb21eda413e2fe0fab5183d885cc8626e2bb55acb3e4191359461aff4e8a91d1125118fc
+GCD = 1
+
+A = -ea19f7f26056f11938975558c0dcc901cd500df7c7c359014deb5d537f4c979edc1e176046e1b0fe444adfd70210a78e6953ecdbdec7f368283a7e658e9cc2cdf8e8b14b638fcea285803ba9908dd8b176622cb414ae69c18a8ae12e5693feb397b5bab0788922be9a369c8423a445650429925e5ae3137ce1172bee4a702108
+B = -fbb016ebf67c48f6c4bc33f252a97888f31b80a56be0840ee9e32e704086aa90171a1fd2c65426ea77ef6663abd6bdaad0bbe7096b8a41b2428a2905f40a1e85deacf90ef2ad75c2303265938c3d728f8c18a5b7b6ee3fe33d197407d7bcc8391f41b78b0fcb3404e59b22e3144f6418a61141c21aaacbe9953dbd918f9dcaec
+GCD = c
+
+A = -c168e74a6cfbc43ee11ae04da1580da40f954a3f87247a1e9cadd3468b3aaeb80995b5ee3208a1e85996b895fb242f0ddef185a2d5fc4e7f4a5528852027a14a73b484eedc45f42b2ffac6ec917542b31546f1b6fe167d65e94d9ad38936b5c232ad8ffe9a3ffbcacab9c103829d24c950057b2aa324b549af1486d58255b487
+B = -90b42a0eb01b4903ddfb4a014152fdebfab31ae3e7d92da65633887e780a70f6f152cd155017af87ec2743d58344d30a422d9c7446a0b3f29c9f7925380da19fdae29dd34fc1be901246bd99c90c15fd8fb11704319c779b1ce2b7f8a7ee333e7512344831ef7083ac0129ce0123c0bd4e18f88534cc05287afd1905f000c6ef
+GCD = 1
+
+A = -79eab93b92fba169951e29a88b60ad572a167ae546ae563037f0e8888286a615204f3c7b3b0a43893917ae208dd33403ae537bdd92249cc756715e8421dad70acb2b67f1a807f0e7f5f5b8bb23f9d83817ebbd8bf5f89d0175eb72928c3715c693e6cac2bdd711e2f1fcf0cce857e050102ef2d011e03d5a153d9e08e8acd629
+B = af6d4c5a9f134c9534476767601f9acde783c89efa3d92d7812907588d524f5c6cb1a90bf28abac8d59d5223f03bcf38451d75fbded9653f522fbb0139df22508e0bd12dbbb6a85dfb3c94d27ab4ad28f91e7c514fd24c88829a1eaa5921279197d37f4f02c639acf2df054845a7fa70d840dc04d119b8a1e34f5a43d83b1e58
+GCD = 1
+
+A = dd98fab0bf32676deba2a6445b5b26e042e74b5245dca2eb758ae4ced364d2b2b0b9bfbc80fe83146f0119d1ad96f15ad59f743ce1ebbeab4ddce88da6077d761fbba548223ae8508ab43cb04d6b4d8efac47ccc31dafeaa7524d8ffe287ca2305ba6df9dfb9a6175e0a89543457fd2f7bcd8c10e42602f928b2100009bc4f63
+B = -cef417a8f1468dcff5a7b53b37316e64d8bac3cd517784c732d3170a07fe268e4cfff7362b82f00cfb7616a014c1c7c42a5aa2cd15353ce692e75d1be114167c0f898bb43309f4a82a81a2259bbd0c5b4ebc78069427b4d01e15777d1966cbe01c5c7076fc840c093405bf96432dc4164b7e3f0e3b8ebb561c009f172d965cfb
+GCD = 1
+
+A = 7f3ea13b447818e00d527e160643649c8e58d5003473d75c5bfbebe2cbb2883d0e32e8793ed8c20241152d2718f0c989c041d4592f1901640a08d4007342fa1aefc0354a4d900c3846a176801d01373999eb7e515a9092168e832cbff4f1caf76fa5f30407d158b10bf47cf058728743c29642e44a5f37b4db66ded9a14ab6b2
+B = 8d035269d413dc066d946e34fc21278c3ad5907e9cb2c9ae693b7565b4978bd4ef527112e2ecdf20e0655b728ea51cf6b2564608f902ff7f03613775f1a36df2008408689b1c05178c36468efadb0383affd69864e3d8f8889ae0b223e1553115d079fddf51e29c5ecdc4abf667023cffb0d98070984f75edea9a27473f3fc2a
+GCD = 2
+
+A = 2d30345d173fb6ba3f9f9502f5a177bd91d532118f2464ae88ff50e595acca7702f8729a2708e59ef66e557c37c0f950c61cd9ec88e44df24db7d51cced07021235c9c873980fb8ae5da3e876d4c3a12f70b35951d3b1ccb30b9827d6616443e1bf24cf47e17690d2da81454ba36759bcaadd9a0db16e6987fcea8c134e60b28
+B = e38335b08b9c7de3d13c956175d4d1379e46b173d16b5b583a1b880ca32a3316bea9a8fd761418c7f44dc9709aad964787b51ba206ec164d035a4c03a5276090bf8ec275aae641b6d0c6119b3dd441784d745dee0061d4a12e205a13a8404d158f3d857008597bb80e9d567413450b3a2fb5c54dfe0c89a16f9fdb16fb6d0e6c
+GCD = 4
+
+A = c7584c68d7befc88830468de6708d1f99aeeebc0bd2f06c270236ddd947eaf0816b2c19e18e3f065ba71e6992b9809150afc32920cf744ec87805aa0f743dd78772f1b90187eff89a8689d2dfb76761ebd5fb111b88fb04fdb32e443d8741be49dd7077cb98a2ea9a7fdad1dbecec1062c4b65b15365ef2b6a77bb64c08e9706
+B = -d4b6ad4a44fc414a86106ff6182f3cea4938fb2bc977e134dcf60b7e44d3ccbfb89b21d9c7ab9e0f050f674dbab1cc37277d2b7eff9a3583ea4bd20986cc7f685e4f1031cbc9f61f71938240ad8a98b5d4116b31e774528cdeb9098cd69b014066d27ddecad6f3a6939a633b61628d4085ce1359c9bf06b9b9cc690aa8fa8492
+GCD = 2
+
+A = f364b05aeabad28e1002baf8ee7a4b09f5271f8338e07d321a76760051ae7460f72f13569bbbcd994be653e1b248142abca49222dc1f08cd2690de35f02b86833406137e091a14e89c7e9a9d449283527c13d0f2c531280659a00170f2e558c5a37c87dd1430a614ade77e78c4e55919b7138e2880522fa6578b3fafd2223930
+B = 363f28c9944a8e044e418d5b0289a282e4ee4a2de19b0f16001609c36b202b54825a2cec13a7e370bed3ea2f417aa35abd2477918127f3779edbb168bb86e029c7f006753d8ac2bc365cf959b7b9248b5feceec9a6156fbc8a5871259e3b238857ba10b30c98266259d6735a6aa8ef84dc0f4c3ce2afc2032b10cbf33ba71a91
+GCD = 1
+
+A = -753dd368a04b19e90657d17040f3402a16b9089858d577ba4f81cd74c6f5ae3262e41ef4328c28e14ecf7d1e896383ff2f9d0eda3bf9e43d063d96d3ab6dd1d298035404d30e100400f2fb92d741cd438d2a9fcf4074c6fde453efa8c2e348cf1b421ba36eda318b957b0a0d4bbe1ce879de0be301d856fa8fa7f510fde826f1
+B = -afc3674cfcb1576dee479d12d3a07e2202931b43748b3a01664b8caffb3523d8af13a1e338400966c5f87e4f234051fcf7395d31fff5e40cf5f1a967f172eafa3899495f77f9bb9239baafa8a79917e01d04dd03bd1939ee56db4fb1b70ad6f669e55f9071fd344eb7139c3754cdc27b5b4a6f741c3cb4b54cceb45a69d9aa16
+GCD = 1
+
+A = -56a51db9aa144a698983f98f2eca90cf37a3326b46a8e8cd3bef8a37504575b413778498c74c70aedfb9e039aadfad3aef06fb3ddd4cc3b8a78e76a88a5d97e8a461284179dc105e7e3f8790fb616cb840d9476ed172fa0258c90632f869ed109beb77d8f4b3e1fa4c03945b5aa772eb037c06251113c24065daf55e794e6d6a
+B = 7b003c772c0db595145e3ffef7fc2eb2ce2ecf6ae0c8a0d3af11d2e43524d7a3cb70b36decc310f80a7428a5c7fb0976f1659e6e43c7aed643f800085b1b0925479775513ac2a24c407dd8820afaea544a86e51e4a156ddf397e9c5581783ac7b33abc57836127d84cdaae847b32842b9bf99d7ba554d0f34a37bbfe847ad317
+GCD = 1
+
+A = -a3d2098694b8c8a27cfb0946b007e21b528a6228a03585a919ca14f37c6b454696be7496f3473345894f56884510724a048958f88a0ef03f5edcce2dffc95579d7afe91fc756466e0b56a4518a724a5dc2283e520f95bf1c0f9d1bfebde2151a3423a356001111295810b530f13fcf8d5b02294dfc06b786adc60c192e63558e
+B = -17080aee3412236e396babdccf73459efd7578fdb465df2458aa08c4198bf4c5a99af40eb8964887e14bd6ab0da5b6f11c4a371933b3268c4e74878e702ea8c6daf374f6dbb4787444ca0fdacfae4155b9d3408e6e7d84145a410e115dfe6e734b0dc7b0661efedf04bf6f542980c4c1618c2499a3aacd7d0de2f0ef605b64af
+GCD = 1
+
+A = 306a0e87294260caed538117fee9ac617a96d316b837249acc519e893ae486449af7bf8222f10d0472ec60aa90d19f8b908a1fc4585b128cc57e6b878d676fac0a1b49e6f9ea685425139fd77ad9f2a09e9f5ba126e4c60c2948493c00dde87d17dda784b39ba2e95bf4103a46b12a7f456f097ffb2fbb59bb5e5ca668301a8d
+B = d36c8d9b20cd3a12be94cb277f78f2193f647c406fac01f0a1087e531222298edb76305f0ed327d32cb42fb1dadc678795cb5755eb6a684c35575a89773c8096cf1741e8cf1345141737cc7af2cd5da38fc6d3c517514d19defc16cf6df692c9e9fd8160549bd9279610d65661c88b95b8de9e817fdb5a3ccfa934c6371d77fe
+GCD = 39
+
+A = -d5be92938f9f1e90f41cfcf1be9ded8ad969ee0f79d2740184be8886f4b3331487e84f9cc2a78e71f62c0dcdca9b7092b5060650eba59554cce56ffadc2f9a9827a0e4df250d23abbf3e887323342b938bd99ecaf44d8afd01211c350d1bd2cee5c21ff43456f3dcb467490fa18ab92aaebe1c3730f2e848379689536b936a28
+B = c51edf7bc148f0ea88cb4b3d112e1f3048a08b9da8c196896535c2e22b22c07e8e5be63f6fa18af23f9f25b7c7e8c9bf3bcb76da94ba82f8affbecac8792e03c5fa2e1624ab999d192a3266c8dfa0fbd53938a6bba729ccdb8e4337a75b6564bda12b4b4b989e470387dd19dae5e9c77666b51f07cd9e28634ef48ad4f4d11d1
+GCD = 5
+
+A = -60f96ae88cc77059cfc3cfdf10d82c5969b843d6c76724243c738cc55ef428b4f9d321a480a3fef80caf7707ea10f6b2854f9441a7a77a1c7d8970dc18cfd03c519ef0950e2914198ea89cd188f633d3a68f0d1cf3ab5cbc0bab9feab6a9e57c191b56f67e7540fff882ddd60ac7c18efc550f101e14d4ecd52363dccf9552dc
+B = -239a2f67237c916e8b6f9b89ccda703ee26c79211d807f396428f1df8feb0bbb75b64de95e88beadf2a3fa958aaf8e61a1b3f96bb3184b657c7f568ba189b3dc08f07d51e50f7e5117a02c865aae34cb3306f49d571e48d73d7916aaf68862e68c16246c2a0bf0d4ca55769bfa7da8bed66d2c1d2c7e6324a0fbe693935ec773
+GCD = 1
+
+A = f49e3092c3ca80d325df2ebea6358f449d47fb27569e1f165976597f003a3e292658d296ef55a3d0b7fe880310fdc5841244390efd4f20910b23862eb3390b42eba8651d9ede27b2c440c3665c7a84d2578cb82a97ab53c49d99d95e6b29762371cb485f6029eb8ccd18430ef904422482d3d2f2721128b9f3f6242d4af92401
+B = -bbd14b4b3fad7eab95114bfcbe44bac79f7055492889f9ab199daded5e2bfb0fe73ba311ac226c0f79a52dc6b0566a51bd5b52a9d2076ead739dc2122e67faaed5358eb049e51ce26adf49dbe06ef80bafdafad83c53c933f67832f2ccdc6dea345feafbc6a9f9d2ab755b35ab691daf8affe2993f8b56f51e292e99f5baab7
+GCD = 1
+
+A = -1591b52098b6fb6e18fa9969b06037cd5a5b2cd9f7bc834e2f8f82097a63e30d8de0b81efd973f0d6cc3f62ad14254cdbd087aaad2c051101c99716095f2c3113f046aced142ea90016124b529456ea7708ea49ff81f5f618d3cd49155a4a68b17bbb7f17902c5ed3aea75222c90465911dfdf01342668891443c90fba2a2371
+B = -356c8a4982053aeb6d34b250b0e20dd25cab372ea6d9e98f1f778d2d856f363a26706224d81a720554e4ae831c4d07ec4b73626a50a83467253b1643ee6121df28fd876386a0c582b8065bc62a74850ea962ccb2d777a43a02751762099d60f8993e92deef694f208007bb3577b98b2ef373d2b0eec1a557e47ad24ca561a151
+GCD = 3
+
+A = 855c4c2e3875fcef52321f69a0366e4bf91b1258a3b6b3226a3bcf4c2c0a8cfd310c47419d1fb30064d23479a70309c73f916b57966eef448360ea39a7c1b12751ec19b35bca228366e4821dc608065ddb8acc97917d398408d3a734d15e25c8adfa0b966a940670955103a4226d5700b29d113b943c58c3fb0ef0981c0dae2f
+B = -52a3a9c73b89185d44016498590922155ab7ec9c9554ba06038fc04e3d4422450ad0bb0557627e46127cfe1a657c41c87a91480fb157e9bcc19d1944346f864cbc5a93864add528142cfcef1c042e61d63c2f8fd12d250c7a0526d413149b29641ee7941c277e211f5518ff572cf5b025b495c3c8df10a4a66af6684aada670c
+GCD = 1
+
+A = 23dc368c3eb9e042546f6fa10b87e7eb945c69eb5f44f37310b68d97e60d5f7401b69a754159f8ae4dc9ac935cd08a827dd19fb2ea5d70aef9cf20f0e4818c596c2c7a0ab607e4ea8176e3e13ccfb84871c0d0aabeb7de0d130d50be98cf44ba6869c588f08ef466ea8f3da672b6b509ff5ce31030c9a9fc4e4eaa6708771d44
+B = -5b25674c433dbdaa030898dade6bf4fc8894837045f212ce3c06d10a8fcbe1d67c1a31f9bfb1aa84c00380208f3bcaa8f55ba7f2892a39a0c412bce55d08104a73e9e699e61023ccf53a524fb938c9bbe0b83b88466522f1aa8c41e6720d3b016a913ffa7c3d27697300249b7923ed55774c03424ce455519a007c265d898aee
+GCD = 2
+
+A = e816bd876e1ca98c2e0953a55ec4c5f22a0d6306b26464d5dca8485efd25036a6e5e77273fc215a37a828b80f3016da6086f63192e0962fc80388b0c88ffd3945eb60e5f673407ad18c4e62b7cb5180f8a961765f08c552950d45ba3b63e24939e1eac4c509a3ddcb4ee47446f56cea9706834249710dc47241dd49147f2cadb
+B = -babf7052e1977b4e6ef4caf0065ae49375021c3cca77ccb4e12dc62900ff3038e78b823078e964b653efc5b519e26c7cb034719be94a69635c33205ef899e3f994a9f776f294158660a959385620846bc2211455f981f34226720913016992031a51155d4fcfb964f27ff3318209a7c5ce9433e38d803adcd01bdbda5a1df20c
+GCD = 1
+
+A = 4063fd1e25f259da4aeb111db384426348695a8554818ea9ca54d234e0b19405b30d75cf47b98293d9bfa2660f5ae8ff92bf663b595ba43fb45e59b9c8d89090cd955a97eebcb7c2d72f361c08b228dac2992899b80ce94c61c9426f0d2797808554377aa6f4f94839bca1ec30bd871c4b077952972fdd5624466b22712b606e
+B = -b4f93303a614bfe88241df365ae6e2b05c2af23ecb547b45155475d7e329da588db707701ce10eb358a829fbf040e687389cade3881674ac7cd24f3453bba830e97b6196e1df2f9206572cc732b4d21f380a98276ad6f353d28b275de2a8f1b33f2e0565cc0b3e4e5a6502b78b9315ea711a340c517c2e3501a503da1f28b199
+GCD = 1
+
+A = -21dd649566da91768470548bd925e11a7c24a9607bb275ed9ddfa34f665fb4246f75b02932d152a05434a5df129ca107b50c353ba303540fa569b93704f0daa212d3b59e9645437119399f4f7d37a1e9cf1e74d626cc0e79eae91d8d487095ed5ef22e0d15a8aef00a6db5f0e50cac13225cfcbe79b13ec05ccf453a4c8106e
+B = -c8e9a63718d59605db093a1284dbce0a0e6128f00fab41f86120b526b3569f79af2f9aab1c911d10f270035541a5fe67311d0a63802650e9baf72314426ff42e8784cd15fa49ec347e8511e2aa246371f7bc035ac33b3cfbc8dc76c7d8c390205ddacc4c146ffc189bdba0dab0f31e57efb8156cb48bedcd5e17a2418b687b0f
+GCD = 1
+
+A = b14b6fa2d09c53234f0594c9be1d1116f7f4457ac2b94d8b484b0e27ef952475528cf0e6d18d3df3b57a07214419150c5186540f94592828ae01051b72f34e9bfdde67c0f57f37286e7a0cbf661c4a8849a82f8e3274b3e1fbaa7e83e4e12a6b97d5e3c1d279976b55fe93318c69d1aedef6ecac5f8f5fbb05d2ff5262dbf8cd
+B = -f07562307b893675106cb458cac34e850904533145d58160eb3cf593330969647595881a9dea91d37d6d7d2de8f1783fcf0fc2fc04d59db604d1fc48fc7a2fd41c4b21bb38301baf24b9bfc5b4012fa96088ab3687512a594b6a51d75355f20be8fbf1435e53eb7cefa46f78204eb19a592b5094df9f3f5a9633e85427148b7e
+GCD = 1
+
+A = de9a0b8674ed240b507261adc010c59a6848a863fd10ceeed6373afabac5fff2e31bacbe1ccad29d10192833c873bd20d4a14df4efa9ffe5ae5ddd16b631a8a385aad345e743d052e9559a461dad52596e4307ea8e277f59f9bfaf330fde27ce1337938f07bc3efcb4048d4b7acdb514b7fe06fc37f4532cfceaa16da49cbc81
+B = 761aea78854bccf7eb0e9442a67a4873759e693c9f7626e49124b27518930e67a700b0be817e801b4a4614351ccd709e4a665a8c0579264151b2419715630c8ca53d6f9ce4f597cc045e69761c01f5429bcc6597b00d0ca92430528dcb3bb56e110466a53b290f1e1f3442efb7e26ac6f59c1aa3dfa7415895332220ee34e95c
+GCD = 1
+
+A = -ab1162d98a163a84f24e46191f2a43624286fc535f9c5a5a17a4931cb1105bcb618c58a79b788fb7959a649a5cc0d3d10dd990cd0a5afa8059de2abb8acb067466cd25c1e433c6c2fde212c08cdd67b4b32030497397d492a684d94dd55b807a5e63c01a4aa938e8495044739f9710a9de685568ed2a9f59b06e1cb501896282
+B = -a5ec30558efd043ac3e80296306244056d38d792a29f2113be809df1639e883a80cddad293b487bf39a3fe60f0e15b0708230be27c297bf93194836b9b1da04f16fa345a1b898d5e68752c2b031194a4359a424a0b592eb4b07f53137ea20c3436606773b2cbbc945bbe51ed6e838f6df398cf55733aef9c66d9d7910b2afc62
+GCD = 2
+
+A = -d2a3fb79378be5427bb771e233f32872f692109d39f4f0d4ae9f831dc7c3b8957bb96d71399f1592545693d24a77bde6efa228694d08fcfdffe3fcbdcdfca2e25aa38adda22d77c95441f0e80ba7773efad08548764fd83172befe3d6f3b73df5a10ca75a13947bb9a93bc20652f7309f7be24493c9af7eaf80c4bca45c8a818
+B = 61b4c66345f0fd8ddb0185767da295baa22d51ee461879ac0b0264fbb09d2d0e59fae902625eb8d7af338fd6e91fca3121c699d5e9e5a20b8992c6295abdd17cc311672ab014a83dfbab26bba482f7997cc39f6e97746c8323dbd4026c7057a67ba248a721ee933441f4f716ad6ac4e834fc5f15c8ba38e5e62690c3faee5591
+GCD = 1
+
+A = -1cc11607588bdb98b926f330a8cc449fe85eb876e138b4234d567b3e8dc9a2ff3142181069d0da06919d782e128ee7ce0e2e95dd201c11ed19b8674f82dea6d5d6253f7c705378f0110f6ceff2d72f0f6e8e62c3351ab84164187630db43eb188775207d27f9f11fffbc70185eaa57d1dbee64aabfe8ba8f7c8b653737970ca7
+B = 2410a6aed9afe750b328610f85ad82fe7b93e22d3c57f35f0dd2c449229dfc10ad9713a1b1756c02170dcabf735038e4212bf34f28749487e9b4d1db8715e7803941baf034f7868ca89e76a3fcf16ebe5e3ad87444ab40a2cdc4286c9629798a69f79c807be9c86fbf0b93bdc0728f2a504ee5637a9011965c85578b5187c4ac
+GCD = 1
+
+A = 961722f18949e64fc2b37ce93b4f10df539f61423fb85f6709e269429eb582a9763406c2466bb499d735dad454726a363c3e54c60d668abfeeb71eef5b636c7ebc047127325ee717d9dd7e95192eafe189344ebb4e19fa543c51d937e9c3adb0fb8986e663840ac377a02bbb9a942ace6c13a78fda252c70cc9bfab4d30b75b9
+B = 65cf045c2ebac15a51f54513153ebbe631419aa7bb0010dee619cf2bed1019812f761cb1ae2195200163d96c1a6eda1a5745a18d1474c351eb680829bb604c8046e5b5ba21d3bb39a1207f3bd14c8da8c0d2538f89dc0311a646ca6faf11b0e1bfd3a21a899890bdfd13ee25238e8161284d7533e51958ea5c5f1d897d9d0236
+GCD = 9
+
+A = -62df09338845dc933d45672198acba7616273acfa347c87d0b588aa1fedd909e0939272970d0204b209a6ccbb361d14c1a55ab1396b800b9a34c1135950a055af81821438b8a1a13c64e2015d28870555291d1a812fb25e25c1454d469627bae7d98a5bc4b28e0fc66fc2120933a1f20c24b0506e06595ddf001fcdca2604777
+B = 384d65066ea4300dddb8aec169ef23a2726258b47ff8f52293f959917738103c6dddd0f80b431d99750b22f66cafa7a5813fd71ac9bfb6380fa65da1feda097fd2c4e7786e0a188f89ccd6b24f06ffcd632285f3acc86f0ed2bd8a69f6bc39fa8fcc471dd22c411b6b34e61bd04a288f3b8209683db4485fc2a6b81c55cd154a
+GCD = 5
+
+A = -857f986de3645f152e0e689ac57034a8b31d51918fcb9a8b3d6cffb6c2529ac4102e9d1bb1210893501e7e305771411fa93b92a459e1406d7c9ef66890a2ec5cec75ff6919bbdc813dccd2d987470ab5f639943b5678be5e6704e1a8bfa3d3b077dad37ecefe34cfa6591b900b9c0add33f8bd282735536f8ec66875f7978190
+B = 16c0adc2d3b86fde6f053d1950b83765a9bdacfc22df0a8bd6c56361c1d24e903e5d4590dfbc64c73ab6333a740055fd9ae97ae476d729f871e0a373c4bc8479f01df5edd7e45a96aebe40b9089e6aeca3e291d87759d5aa371139d4b95ca5ae9e248512c6439288358273a918e0714d5016dd2a7bfa4502082e1022e0c7d92
+GCD = 2
+
+A = -1db55d589bda08bd7360140d0ae579a2706937e0d0e4ec84bc0b5906f5dc33a8267ef04eeb3bf99d11446d9a1818d9fa61daec41df466d129f67a38336e05c25de2f7b3034e3039668cfa7bdafd23d0bb81f03ad0fc1bffd152e89011d7399f1a3ed3aa03e1177657d9496d75964d97b13535818e39392ce49f8c604b8efc49a
+B = f685a5babe5a5ba3031e643ca5c721abd1fbda6c75997f86a994a4da1c38cfd158462c8951f97cec054c86b3c4b082fcf8d55b864f88ed74bf9abf61f6cd49796a4def9310eae7323d7f642cc3d6b3da45bfd458e082da0ad92f44948f6093563218946a4c65778a4057242a4905b00103af41d5f793eec54c04dbc9c8793fb4
+GCD = 2
+
+A = -6cabd38b7f13a98bd4e1962a4766bb29fabda331508ae24bcb63e97d6547fa57fde43b4ec07b6b5dec01a0974a7d3e4c5c2a05191b41910c9df1cc871a71900c9d50d81b0aca3cfc2b5019a151b1e80b7b5d56dcc520de314ab661339238c41c6d70fa5bddbc9387afd6a1c91904fbc7634381b431c0a08395d2dea75bc8d8cc
+B = -7b4b05b727311395960b6826c4defd4bdb12bac43ae7e54d631bcada77a61f2c3d10383a0075fe79fd297bab0dc1b03c6820c6bf926fbdc0122d7b9a6c478f20aad3c4bc14bd7a0d68b2bae7d2000a5e1175511e47e363ae2f50d22d417eb2a1f8e61ddbc2d6be596346844e49d893fffa8e95662875b56c0d0becf67301f5d5
+GCD = 1
+
+A = -24f968b4d5d3d1122c1f4168be1ef884218c8953ffeb07f0f0905342c4f6c073b99e51ad09f432e9882f259da5cfb3fb3c420cf8c3fd9946f4a9a43e367f4bd958972b6ae4c28e730d9f49b16bf1e70a0d1f0d6b6bd68761c672708008d03540062e6493bd43aee1cb4bb2685489eb224953d0ee2f8922bbd718536b19dad4a8
+B = -43d82a51c59a02f290022f399f275da2e51c8e13c214f04d76aad258970d3ded269475c07ea8153c34503f25ec07742df602ef055305c5acc7efefa6474c205707cb41698c3fe409d25c82fd0bd6431fe94fa1b456123ce77cc5d24c5bd62dfdd9cd07db3576689a26d0cbb095a170c1a37654e4fc334daf5eb98387ec4a2acc
+GCD = 4
+
+A = 636d11711f36e260069cb73fa0c1b2aeb06dc1eea13bf1ffd60d07a2f362d4fcc910288fc80725ccfd0a93bdb3db13859d8eb06cc49d21f1a4727845113951c52d800030808d55e53c8c9a2880337dc1a3dacb0000e34f0f6b0aa30c16d1223cccf11811145eb37e7994cf7e2ccc88bb240faf25d8de9925f7522f46fb925319
+B = -bcf2d134049cd275476e4b255a3acdf5d84b3419a932ea153a4faa95d1ec5578e2825eca2cd42b0bc62d4553630e2539ac2a11e4cabbd3d212f77438f8ed9a58159c262fc8ac4c5e3574ff23f907f043a431a9c5801f321c845b40214c3ae5edeaed5f4db8fa364b76e0c5ca7a14879f629030ad59759d3c3426088dee036ab5
+GCD = 3
+
+A = -6b0efb5649ec830c0f46c9da3973eb8e120a8ba25738c8c2ac9a58d8cb74835941e6cca4ef6086a49261afa28c771583f772a82d4e3acc26bb4f4368c62d4e6f918d49ec463e8849f7e06dd77cac5ce257c45736c789a5102f31401aac9703848e7e728015767bb5f46c5180688b967bbf1326cdbb5a9b8f397e7e169e5870a8
+B = 6c556488a56d178367a48de914f3ab7c695c704894f9506b17661cee6d6afc189562a425c3f21384438a9b5fef4dc3eb1e845911f17c202260274aee1d535cc7e90542cb0ea978b3201d4650bfb623d8dd192360f074a19471970f299ab59b110bc767d9c0bac330f8234ed2f5f17b0a14889e3975047b3f07de8c99ee6fc7ac
+GCD = 4
+
+A = 88403cb3f6dac3516fd9190978e668b9e76b9180e6759936d0d744547b41326621d9b5e3b80767f33f2e0de301c918faf56f0203f15a2996d86d5d1665548b392cb35ddb1d52fa31fcf376de79daf7486c453809d8addf1d8c9b12185af90e1d7840969bca66673c63061bb89dadf8a11db77a072061e45415456293e5d4ae9f
+B = -5aaafa59cc04fab48e18cb7edcccb3e2db5858ed4f2a4b5909c41e6dc813ca44c74c76afaf669d03df8492600120b0eb8fffba9b19e39f8aa6b66e9a34b8506da889f7ee7aea0a37506fdca5953d55730e4a3fa348b3c5ac706604b2b2559340233d7b5135b6e323656c6582e6acb46379a57be8e07d17d79e8710152b28d518
+GCD = 1
+
+A = 947dce7834d19fef53447018c986183e1c51c390eb823f12a7364b4d9c328ede24fce7dee0d0b40d9fc5099cd5e6f4550f16ec7066ecc8bcac57b46c7a7e4359773499b0df3c79883cf660d41b72c0da67782f71937b961532c2422e42b8a98647ce985868949abf6b702e3215a77593bb4f6e92db2c0c146008468679a23f93
+B = -784799efa56959587ed3b46901ebd76a5ab7344e3a4e2f69e8ed2ea3b21332e37fd7ee403e2244b411197fe0d95950fa11caa1feadbe145cb538652890bc1bcd526aec7632e19fc05ff403ecdd4ecfd919b7b322b69ff11475767cc5e32fd0c6c2a9fff4f54a474d4ca88f42468932c4a0dc9fcff887159a2adcb7caf253917e
+GCD = 1
+
+A = -55e4d28b74ec6d553d1b364f4db88164a5f6f88ec359fcc0dc46bc393d5271d4b5b0744a70391df7c26a3f05c65a6786774d7cf27327fd5c63d6cf9fe523ec0abeab7c50ad3a0bc7722f5a981db8a71bd8d662332f96da6cebfcec6c613f6801b0e7e20687330951cb27bca867bd74a77e814d9125400698ab727f044a5e8f5c
+B = -9a822fc748950318d69565cefbd036a36d1b80b955fa774d3e129138c14da4199c1a235c0cdedc7b37b7d6f49fb4c50a3bc845380795a1e9925f5c8aec94ccde57a468433205d10005246aa1c4922249e8c27687713e2523db9d4a95cbb5d3ac81eea46e6a0f24fda8c34feae6e4014b6c9f11548c7d560bd3e5dcd7b083dae3
+GCD = 1
+
+A = -f3915579101ae26fd8a042b8966e0a4ebb6f450f62e362a6e80c780941ac5435c7a25704ed63af184195f017424e1b9a6d88865950df314d865e2842c4b0484b04c906cd572910d9a2c1166f42f1a836590993bcc0e8a45d60a2d6be0f7cf2e17b11b0be4a7e24e41f92603a8892df8b92617b07d84858cd381f769809fe394e
+B = -3af27f228fabfd06ddbd22bc7611933e7741a1d1facdbcc9726315e2f22daab36bb9cff0e2e7fca709c66fef35ff6d2b33fbc3a10de6198a8e9654c53728d6679dafbce191c14a1ace250d96e92b46cee1cbe4e9afc8b10cc8fa17b296c14a7bee1c22182e3b7ec42f092c046fb80168a802f55492fc6a0ce5ba3b70621e4886
+GCD = 2
+
+A = -1a9834a5331ff1b7b94ff2b8f5ca2418381763ca987fce6f13c8921741f421ba18e45cf22ab7bae201c3457b0eee8f18c8fbf740d7b6b0c135f0c0f6be70b4f89ee3809c90a1bceea7db85ef93870a2ec238fb27ab4e2ed001b81018bc8c1485e4e75c0a1dab521281422853285b2a142a578196de4c55593890d5328df92551
+B = -4d716c7e05dce86ecc8aa5d44ca078155571752b61d36d97db2d1090bc8cd79310ef60d765a2c1eaebb38191455dd71e133ec8d6a21562cdb1e5ffabb71e95a953bdf849c39fac7aeeacdeaa654ae2fbb9211b915fdd1210bde92a8a468dd959b43fb5cb8928ef388c8a5c1cc864065f0c31f2ef65e405ce9f67783252da1ed8
+GCD = 7
+
+A = -bce66a48544d69e2e5c5ce2588cd3693476f7272c67b5eadb2c14be8f9a0bb086261aa2c7bb4cf87be35524e53ff9fb1cec7893024dd1487b12722f5beaf6ffd358a936f6a43944c053d64b73a340f68bfba9ae9f4ebaa1f6fbb6c5b1d1a0f674e5cc34a7612f2d91d2ea26d5f14daf2afc6ba3b85b69b45b693347bf25e1720
+B = -d4e6369c7aef6c4ff6245a801cbcf984b60b6242d3904dadd4021b3b6ff7614102235aa3486c3da1d89f2ded9a1f507a47511805bfb27d31a702fd79251b90e797927a9f1970780ba80f100928f782e9f894100b1992348d64037e869ca522a3f928e43fd8dd69a21af0f7722e36d4f1876ab67a4d63d52741746256f68bfa21
+GCD = 1
+
+A = 2f9285d79eaa65235ade7169dd1cde738e9a70eee623115497138d95fc3ba0b7160876eb3baf065d06993e26d82244ba27378da5e5df7b1208df3b49c11b516fd0e28b30b618d09e8fcbeedae1479b848d0332e38a77a8337c9ee0fee0b5136079e527fb4f30851a2c854baf762b5144a9dfa7c91e6deafffe68aadbd8a7187c
+B = 2415f627334139d33fce229dda858f790695d936d764ddbe8616d0588885456d41d4f6ee5988ef12bbb196dcfa87172824aca0210ae0d1c86ba429ed9811c2cbde2f8a6da5b27c7a2ec1153d8b59ca4e17b02b9eace9850e3ed1e10c2492d7856b0370241a9178f58786432cc492e9d24ecc7c197de3947b857bf6b8630c8a81
+GCD = 3
+
+A = cec5427203cdf62c6a18a25e1989d6c8b5c68eac54757010294c7d3c312a70452840015f22eaba11a9582d01e6f02bbf0477c7fbe8f0e85088ccc6e64df24bba0ef05837ce6394c5a2da76fa18517e5379bfbc007129f6046027d4600ff4ab1ed2201079ffa77741a713df4b21206373c0a00267ecc2d27b7fe6dcd986cfb33e
+B = cdf34772ca52dbf46dc9018f74c3162f521dd2615a82604e9f6203345236d2f8d7eba85b0d49f1aeb3f660289899b401f01d56ee1316df385c4aad81d85a0c66d412d88a8e4db2f5579c648619ba25ab0b118428e77a6acbc3b234cc6110df96f467260880ee1d2adedcffd5c2137c2845342741337bddd9182507cfb1b17dfc
+GCD = 2
+
+A = 2faf9f2f6eac0a10e6b0a14df59a3a13dd9f2b1a19b2064a38eeda0b8c4d70535d5b6d16ee8cfa115079e0d8677c394efb3a963ff67672c4151a1512741efd5fc124947d13d0ec1a34fdeac999b899f75e10451b3f73a2deb3c6b216ccfc67c8f3a4f588f239d97363916587d109ece92240a3db36245a36725d35d6388c01a4
+B = 23bce02f7b7073e037cccce224f479c689c66bfb5d13709ce2b0aa65155fbc27a343bd2c3bfef891b70391629b05ef5bba2bfc5e0363f406dd3902cfa1655129a5423334537ee07e7b929840a8a0966bb5879ede7b8c7acc6e526bd533be5c0271e4a8ec574cb20d6b6c5ba3aba6b77bd7940885ba6eb93023e737a294d5503b
+GCD = 3
+
+A = a6e08d945a2474842150da5ad2070b2005910429ffbded511f808af86d60cbc076f3850b57da719fbe1885bd7f1afd58125ac9d35276a9ca28e9fecf542fb4d20878ec00e3509046084accbdae052b29e4c573bec72f8a2a0228f93e44e91f233bbaf60d45198a9c2aa0cc77649a2b22ee0bdece8cccf9b87754247599abe0c
+B = 1070bdb20f1af7b35dde9e5caed0a216b21c08bddcc01918fac7ccc5edc1a895a1ce0d733af0269db273ddb72debe3998b4af21d198630f5226b03252e0e4447f1ca04f7757d25ae950fc1154c461aa2a38d0740f0c7f821f75da71d7bb20f8aa2c1ce4c53163e030ea3ac74018f7d64e1251844cb0ddaf8d5b7e6c62841b4d2
+GCD = 2
+
+A = 2cac3f864ec1ded24bfacc4e148b32695498eeca74015dd20bcbcb22fecc5aa1c3700a65dfe821fd0d9016c3d7fbcf2d85a97f4f32f041d0cee7a524e97390eca65f508f9df01bc41358b296b3ad84fd7f07a56fa6600b9823f983a7abae28f019d25bf2339cc58454a7e5948708cbefddb76366ee67587b2b2ec774660e5162
+B = 4849cf4106e3f6c994dd0f9bde071f78ea7ec4a4ed1574f03a9dfee2afe74b6627dfc7cacde8801cc8e56e5fee245ff6382303b68b3e5ea71425ebd595fc0c4afeefe4941fc68591b6b9ff4247c8e04e7bbeaf518b1b133eaf86e46c7bfd7b4e87cbd750913e3fa07e1576bbd4051de5272ef0e753dac18e17803f6f9687878e
+GCD = 6
+
+A = -3629f8989e40503db0693db866615af7a0bc134d590ddc326a219e20b02fb658ac1d5ad968ae557c655103c72d2881ea02e4703fad02d6325c50583f10199c80a91c223657694cf56d1fb3e3211a5a2f667e449e953b58ffd286e532297255755448bf5b5facef29c27c545a07ad51078f24315d97db59814a1be211cc357812
+B = 2dd2b61c456ed397ce4cad3cfc11b4b96c14fe4014af610e962e6b7b8a2fdf86bd61ccf5e16fe1ff37d994bf4c47d90badbc366115a3b3a13c5ad5c62d947b446070e2cf729eea8f3c7f5566090aa642dee5cf5326b1bcdaabc62d5b0b35ae984e20960e6ff33fdbe8b2c77c90a7f2de959884dc8cb8a13d6f5af0903593f63e
+GCD = 6e
+
+A = 9497f2226e1214d85f6c1b20012b4e785e0b0f6d8526b4fa47b84c457a599a3bbcdcbb6e7d1b13bab9225449ab2eda5c1706b35de082bb71902aecc2dd7e0231938685c8a7327b344c8836fae10e41c5757b4313e3fa74cfd2f1bbd45e2adcda1de71e8554118d20da0fc253a9552de41dd30230e0a6ebf69d1bd76e4ce1942d
+B = -900de7a1a6affe8ff2515f5fa70e0746e298f0bb1cf6d11c86b838fe13d601026655583137ae20bffa5d2431d988d0d627fb8cd18e57798f7fdb3552179fab6ed11b48e70d0ee5a626598af8b719a051bb621751f58303258f556e533702175e967f95d217bce0bf751255f3b0c2914a65b2932c5411ba4f2444546f93af78b0
+GCD = 1
+
+A = -532976cd3c8e3fde31abee5c5aa58b0f16b53e23b4e4c9d8024422928c6c7419c18e521c68191535c55d178bfb381487d0f360c5636f92d4f3e9261df7e04ad5cc16ab8544c786d8d1931349d0b85c21ad1e955c0ac79771bbc7b9b53f4a514bb570bbadc1bef54151eb75dc3899e72a04a0f76b583f6cb5b5d3ed9751c18c86
+B = -2347de32a5c1e4ca6329a652172fddee596facc84c873b24d0ac575517ffcc7dfe80974a76b15307c7c0c88894702200b6dd071e2cb1dcce5046a053b0b6187e7b82581adaca73238b689cd869102c874afbd3e5269c98e21512febc40965256241f09c6eb68a4384b9364ac066d824400dd3fe83f4b0ee7f372933942f134bf
+GCD = 1
+
+A = -e63dc5a55722e9391ffd14fb4472752020562d56c3ab1aa8d7bc071bd0dabd2800507033448b62e2539b6c2bedc8b993fdaf0facff097a897cfbe0995f8beb7a02a2b7b3e41276f6b9b9326b75936ed1b307950a5b7a1222d319a8e1045014718bf7e6d5d6024a92f70302421f4636a493f599b1c5473a91d44bc18d3a18c0ee
+B = -63e4441545a8e3e9ec06635a41d6bb9f2058dd8319296c0ba537c872012417f62f61cfb9eac28cfd66d799569330a148ed0c4421a2ae0950fb3c20482b05a747a1c5e2929174c128d69b188b336a6aedd6484b9a3332bfdd07290a11ebc589fa19ffd91c8dee0472e6654ae0d7e437d7160affae650a6694d8486da5b61f0776
+GCD = 6
+
+A = 4fa36f85da1ffc4fa6250cf6d019c77bae7e7383de971716adb46ddb77c905d0878a08839cb31589cb651a18f0f14911dcec8f21a8b24c5490b8539ea66c4db701fd6c5b213ac5e8c3cfba14e84f86df32042d7991778df385f608f75b2d047ee971ba7f537327e8bbd89ab48fb9234e0b8099b9ef93ee1875a2d3c59683d197
+B = 6585c622d838f9036f411e2a46a8ad7422f726e502ee4a2f2f0da92264de787c64882dff0f8fbe208a5df0effa4f3e77b63b88a9875ca416b7441dd6ce355f25dbe42ddae5823097bae4164ac15d8efa7c9fa21aafdfa0bb4cb73b48c312ae98db8d434c31b77de08f6b0c6cf1f00c88114337d6b6b38df298a3b67e14747e4f
+GCD = 1
+
+A = -742bb69c130738fb2cb08e95487a3b53994ad5dc80ea81c0815f0d32dc751be13f5a89bf9f13d2198fb86d7521263cb7678dfeb2667cfaff90c3fc95963c3a7867fefe86a4586d759b849c0a21007a665ec65a9f88d7f9e7eb0ab32cb31a21ae9024ac9b4b63f5a1bcd8cb6932a44f3a9a468e56605d24280ff26dc4b668450b
+B = -c617b9f3bc8ea4ecc0920da679a4410611a20f7396b9aff4abbea2d5d444df78b2df1b9070ab7c5e083a4acb936ae78b8833a9e3e9a46ade5a10150c49019c4a20b9275e5c0dbf87746da29c391cfbc214433417c86d2b10a54419f42fa7884c1ebfa381907e6d2ffefa2d968c44bbd8b9cf670909bb994f504fa4425d361ca0
+GCD = 1
+
+A = 3c2862d5e5e0fc4eaea2768a88c3b57633952ba234f8b513a752c8de99ea08dce506d46203b7b5c49eb0d8179cac6f23d9de74c632f722c7a518a393c48cfb71e4d20bb231765e89743a2f1bb1a5c1a24915272eb9407fed1c1a06eded3110f7576463b82afde4dbf7a4e066b643dc7824cd8960102d384b6b1e2ba4ec8731d8
+B = -2462a09282fa452d2cb30f9356ecc7ba90189cea0f3091b16ebdd420830eb6fe89b301bd70e89d9f4573b4abab6ff7dc2e16a1556fe6a8d7e9cd79d3692bb7fcd123f7a63cf3edb1b538b5fa2b15e2c4412ec707948ab75c39deb307d972a318fd29adb7c231fa18c1ccc7e4480fcadb0c0bd3aef789c411cf073368c8307f6c
+GCD = 4
+
+A = -61f5df558c7438fdc0335dc7175c9a59811ae41af43825829007ad1c52cc4820ff4f65cd6fc65f68aa9b52424b67aac2bf25b8ce555d66c80f530267e4844f133df40ab4c0034641b6dac3a26d88df651da94a54aaeff46ad9c4745d475c83e1a04820c4b246c6862822778772881f1978a39c15929f7187461510e3c350ea58
+B = -c5b7b9552a025eb3d994e9c145e6cdbac5ec2cf5dba21c8ece799398ac032cf051f60e828665e8777a7a646add7de115866f01f444a3f0bf1ac795bc2617be8559495b71b998e785f6835b84a36a59909959f8edd4a0a0972f047bca702186cd6839051aa23140fa98874e7b5e2c8555554bdff981eb533cbb7a5dd36420daa
+GCD = 2
+
+A = 648eec6d8325b0a7374a8c3ab1ddb37fb3c3fff07f7120813187515f4ec3ef56480557c731bd3caaf68c68236b44894300a8249ab5789e4a37725906be8c6d8e3d68e30fd4d83cffecb555ef049ef93ff79907aceaaa3c8bdf1abe09219ed73f4790e750abac9d8e2e97b3a804d401fc5602daef1fe0bc2988c7775ffaa5b3f1
+B = -377d750bff734643261b2ff53c54b7951b1584ce225c1b3fd978213f5105e3394e19f3dc43ab782e74d8928a94c4b24420b6d733f91933ce1905db16725a7d959117b89349a2d18ad18c07851b471924da0995f47c973ba7ca26446db89697dcb97031c7f85fd35c1c86facd91b936f6aecfd0bbdc1e26462d0b148718caf179
+GCD = 1
+
+A = e09852d480c6ecd939dac4c0f38977e4fb516ff5b7c2eaa65d5b1b61bd587bcbbd9e2d7d17e488763e9bba2f5d468340a7dda3581c082f325aa9a3a46413e6728aaa3b4d20d56885c5369287530dd5254377324446ba6fc0b6d10949dea78d1163fdf8a46fdecae602c3280e698bd908d7fa9d8a8392571b5d9ddf2906303ff2
+B = f364abe5b51325e989817221d40d486ad6649b094ee9848d0ba7b1fbf1e98f8065860c33fcdd1e40f03d48faff2def9cf27d48be9764c6fdb22139083c57b83ad1ff24dd7ed25321dd320e5ba42246e861e634d5a26d9ce803f09f92037a6ef20f47e51508539c3639da1c1d1edf237816982dfff3c142b012bb59d88f55b6d
+GCD = 1
+
+A = -8a194b89d328c5b8931d5881c43a70b1c4d79eec0621aeb6fec40a4488de601f267c864929ac642c6679c5f8ef04ef36bbba2715d68d7badcc43e22e1c32cb560eba3f24e314085b36bf75a5d6f9fa3fdc7e5fb0f44d9754df0ca65a9c1efb862538b34f4581d79061bf0d2acec5e5945ed7619b90f740caab115b837eb417db
+B = 166431c8f2cad8bda05bb2c126c891902f6d97dce4eb4e4cfa80dffece6bb738816f3ece6f36218c107e46d37f1d3bb58ffcdc182d806ec4d52df0db16a439a935379e738dc476a6c66dd1d7e010d05022a9bededf356a7c31ec953f51001251a20329408a96ff3daf685d0d3f9b2387e7f2c3b03c3669a37d91060e705c98c1
+GCD = 1
+
+A = fa19148af661450ee78d90098ad641a9a51660bbdf8a137976468e404b5e6741e7ed937c8d358bdb1269716cfa2a116b54518f19051ca93ae9a1f815f26df6ae718962153e6a42cb46bf963bf9651272ecb37211cc34d086dc8fd58fcbba5df21a62e7ce3a86cfce24109a3d7bae57e12c74127e490d5ed4d0c12c1f6c69b94d
+B = -7126e0d273390db965e25cf2e9c48ab5cdc7a621756a60292cd4336e83e20fbf4c8c9307adf54782533a56608490bd54a6eff227d41fc6e994c293c6c9f275b9e9abb8f045edd11228751ae6cdf9b36b60a4571dd5727401b689c07deae87b3d0459bdd703c7c6d5ec8dcf7729b37ea93f8293927a8b7ffc583c760978ad4fec
+GCD = 1
+
+A = b31c7b9116fae736fd91ab67ed6b212f14d7301741914e48a7420f5b4999cf59e160458ab96475db0c84a5cb07737a8296af83dbe30bb46dc016221db50e8243136e0069f2fa7eb4b99e65d7d85174abd142aef3dbad60896eec6b98c95a5e31bda73b3dd29803bdf87ff63662296f92fb8e4faa34d7828e382641faaedf7d7f
+B = -2a5e6b189c70f2d03bc32bd1726b55b4d25e4f0eb9b2f911e6b298fd9aa215e82f429c6ed927cb4de5d26ce671ff0fb62f969ac36d72d6bad9352e2588e32134a2530788df0734dc8550046e9898d5c53b323505dcf13bb4037135a093a15f1d60ba593e1c26c427e496f06f1a29d98c43966fb482b8f751d5bd93ff69233d9a
+GCD = 1
+
+A = 32242ac9e9c4f069d58f3f8701c37693b336ccc05d709c1071dd417c7355353c24e622d331c894588b701acf005b07318de1d2585fc8acd71915b234c937e8faa8ec29b5b5647863cecd09bccc40cd826a14f6b4a7a70d52fe7220af5a05cec6ad3a3f6be1284584d59412a381520dc6efad2c4cbc7e1b4b28e2541eb2ab5070
+B = e4829a217d2ddb8a5e30fa73f943d029f1ad187d9ecd61c3a38438e9107f82c8708e2f8413ecea9c2070cea54023f32e3b5cf082c3e168befa7539bccea262ded34055e296a4760639822c65025f830f52422b5ddb9b925fddd2c2dacbdfe3ed2dbac9378e921331a0a570b207f0532c682add29d6a4bf04e7b692d1b7296208
+GCD = 8
+
+A = 9ee30db91ba625daea6ba8c56bd98be6992d9ba69ec48c81e8fdd8f6be874b0bd7c3c63dad98344dcbac909e780e366d1eccc374e00629ba26ac688223fb6a478f8bbee2068f905ebfb18da1d1dec8243a9cacf3560836a4387dd7ba1d71e7a9cfb50daff55138fe7771d4cb112c307d82b1a9da61bceab8f8f41a237dbd46aa
+B = -99e4e2f7a3a7a4879702fdf8fddba531cab30dee44d1b64226efda08947274a53c2b07ec3ce5a6539ecc2c1225f0d88fa3212ff0ab54a9e7c2d3ede3a82ce2a769854ee5f05b1b79fb8373a7a4da58bde0066fa160a00f4071b400d5e4031f2ace0e9c2811d1dbafc022d4e9042e8094fa9b70357f19cb1081880c61a59475a5
+GCD = 17
+
+A = 654d547d4e6cff2ffa525545518c0bc07d6a337605de87ea82afa133a59355da855cca627c0fded08c77ba6c47294931475b2676a3a68f9c735f008a2038a45e189b1fa62a28a4a27b8df9bb66d2fe0d78f60eae06ea470f5f808557e009178bc66948e1454b3623a8976f397950c614abadbbb43e777afe96694e57ae73eb0
+B = a6bd8b20e09616a14cbe9f0433e0edc8fae02662e58d1e38e9746f4256db17be7b41e0e32384cb2676002b25ad0948c1ae9817b9971d6579e0a8b239976b7bfb2bb60dffb50aba3971a9178a2bfe368eb7ec739b3789af51db460702ab0f875cceafd51ed9091e547d3b7f7dd71522e143ddc9dede6905fd4c80e4ccf09cb987
+GCD = 1
+
+A = 46a9c76e64a99e3f7f97fa30c67952b6c9d5d0056a2a9a099f6e5157b87f84a1dc35376308411cff0f8875a88c28f115210788169937745bbfcd0e2c993929aefe34764e2a03face18ff0e8798f3f78443a9a8bd1b9464c722782ecc0ed347d4553832eda31429aadb516ee32b303d08bf269ad78723b4e67e391cea01ba2266
+B = bb06a0f665c935d6075b97c01e715f01795374f52bfb337651a199852a0e9da0f75f9bdd1a69fa5f48451171d896b5406a0871ed1d9eba06c2811a038b9daccd35849f0280c78d102021e526e4a9bd49397a054ddc1f7f02527a7c86e808e8656846c582ee1ed9eb96516c01cafec2388c73db50d1e1b9f00b7a62512cd62585
+GCD = 1
+
+A = cf42c8afeed139d491563a75fff70cfda42e15c93b55115508b27bc5d10fd0883e507142a89bdb95d07e95f5b2c838f30a4ab1ba1ef8cd0ed332d56458ff91d80de696a46409409d07cdbfb031bf65d64284b86f5c49d780cf3781ad38e1f0c50ae19faa115578e4797705c043b088c2df78425bb277607c3af775e24bc5b121
+B = 421969f9943102e4881975a31c5d06315655e711dc5e9dbcc61d2f1318e3c71caff4bf6abd76fbc236b27bbc203ffde8246f9f122b553729ecf83e197e33305abe00f7f8e0f947fad2238b2e2a8f018046c1d4e9098127ccb2b07dba7b85e4591d52da6b17ac1c20889f2c3798ef9b6afd21cd59af891fb3a1f9d925935bb3d7
+GCD = b
+
+A = -25d3081de644b7c3452fe6b46a5e312297065c1c6ee2831524e17c59b84c8c9b53742793b9de25b9b3cfea51f4439d530accf4b6ce53dfdfde9b1bae3828fa3c50a7f320bc1ad77825ea6c8cf6367bb1fbc9a61ff9d9911980d5cb62dea3cfd5c3d693c4ab6ff140f9844e81af99e065f559ce8932d0e812b48ba1d56beaf9ed
+B = -d5cc6be6bed8577194f848363176d17635907c924e1094aba118ccf69e7e458dabd639feebcf9478cd5ff2db365eeea98d71d046ee02d893bf6de41c46d06a5995a79a4f03085a00dd6ae2ede5a830882bec04410f64218008354c4c060714cd6b7f754ad1225b140ecd7c174df46c074417abba0d8817a55ea08719b2e0ac97
+GCD = 1
+
+A = -a432c6d0a3673797c838dcf4f33a9455223d131d9de0dd8e8446bd50acf3fe95810ddd18847cc5b8619bc80db6af336cdb3ed7d15c68acc3449acd63f0ff45b4d4514d557cfb800016e5a7d76abdd61078dfb12f765463cbac43f106eb7b33ff00b7d1ea00949ae92671bd4ce9aee2c3e9c6781f605309de4731d7ab9c09076b
+B = -bb8c6cf5e36f59285dad4e303de60cfaf9419d7c1cdd9808c7993fd1cc3852d27fcad027bdbecb10c21f6664ddc3d03c0ad41ab9b7cfac0a74ffb89bf8a3330b9fb50635448640a83341a4d421937f62f96b2692e0e5594d809d561f746598d90d5e50dfbffa0520fed9c09f0a965846b74f268dfc8849bec973c7ca2203da40
+GCD = 1
+
+A = 68112027785315d5a9846d5a4cb938e952e0abefe520991717457ab258b95893de7f2b930001502b07cc0b091b94ae27cde34e8a714730516f68ca7f5ed304b2a05425c9dbad7bb79fe81400f38c45c1305a497509fa140201c70732bbb1f7adfd010f40ac03e6296f2c641ff2af4911f8031e66fb68c4e04ad3fa14a9079836
+B = -2311d9ba12b6c475467c7fbd02daba863219426453c2a6a5ae96b962df4a526f89742b50a08a992a8f4d985343e5baac745e1d6f692f7cda84e0af8008ce8814df41941ec058d889d979acaa24651e3f2825d437ef98f62628c80817005a61061603f417136ebba4df3c6ef55bba7b9e0868b295b6d4c6bdb32205aa4f8fc75e
+GCD = 2
+
+A = 49757de67af93c39e02d40787b1233219d7ca51bc9cbe4c93b670903cf002620afae43aff78584843db232f77bb6fddd965e5799089bdfa3fef3409c2051a39a13c676677a08d50c9d0c4f81244c6acf5cec9f06a19ec09bca27953972e2e2eadc46d978bc13558e4cb5636fb3340bbdc61f7f759e743482ef691d4ae9ecdb41
+B = -a5890b9a53f5a64d0a1ab08987085e80b2b9f3b84308d8b5ffeb717c1e327909e4aed2d90437b2a0ecef1aec6835b663299999a09d425f4e132d4ca7823f19b21582f3f57a1c3f83f6920b5b9aecef6b7c2813b89f830bcef1fc039556aac8d68b5f3e0938ebf5bcc55a13911088383913e07567fa86575ca1991c6946817fd2
+GCD = 1
+
+A = -5376df749693c55043baba6a3fc403baedaf9264848ddbf8cfe950db37819a38ac901b18670111ba17f341640a621789b5af06d9dfaa02be8370e49ccb5abd135c9ef8f47f5beddfd9ef1f52606292a28db74d4ffa09532a308967679c1979e58bb40a3efe40a9c75bb147b840174cb3d67f1520abb621f0edc87c393feb9132
+B = 7e4ef050ad98132716fd001efc28d3f690bb5a6cbe4c7d1b59b4c80e199099f90f73ed8ca37daf92727305818e1b66e18ef2838e03ea3d11065bf5020f61871fb62877c871bbf31a282c4652665e01913e8a23c8964fee732b4448ee51fbe13efd63df9bde335b8a9c1af3c42a242d551463d0b3875d222d7c6e60b369719a21
+GCD = 1
+
+A = -4ce385a9d67b1ff8c17daac37f47f422c2a6514ddbea906552e1876b687dbd32bf76326bccd20793a630dcc2545b1325b75d4fe9386491df8eb45c68bdacc3ddc7236e976fca9cdd99641a037ed551c1652f6153a0d6a0bd6fad2a759d866a6e0028d2c0f6e96bd412a4bbc113bd618089e1defc3cb0dc8124163ed1516a96b7
+B = -b982cfca38bc118cd767ff0484657b33e6cb9a63434cab0775e66f7fd7ead8521264bd5ecfb478e3738d1dc2bc984ec5b4971a5bdbb0852598c7560da34bf3caf7a055f53ea15390ee0540d2fcac693e646fc1f97f9e19322312ee462c390a470eb74dc2afe289299b8bc7d0220e626b31db2b0acd6c188db37c4efe2aab66be
+GCD = 3
+
+A = -62cd38ceacdaa2b18c07727f75ff52759a9605ea7fa28d51f211f6a2a1d4f3029b53b54e4e15470fbb50c7f332aaee3dd858e27e8a92965acd9a0e5b6001ee1095d66e5044c2ded4337eb21e32f9cc24ddd3f0051635f8484dac118399736bcb356fb7318311686332c892c6832c00b2399bf4e33259375de7d83da4f9b50d67
+B = 83ebe9f4184fe5a331409dbb1713349683506ff6364f20b7424dfe42df4fd476bbc5383e42418e4f764ec5569c4765852940ec7b012ec4db0ad927c8d097145f53d418c2f070f29ea1d943da571cc79ded165473ac62c0e9e526e768793c89ff70cc57730b8bd70755fc9051eabacccce54c252286f7d997c0c5e28316ed4a83
+GCD = 3
+
+A = -8dc6ab7bfed5a04cf4beb2e3bc9c702284dce10eec9ec958bf0dab3169b7c6b78c53b587fd200dfa2b0df090ab142b0cd8481cda28f7e75f38ac8da54bc6213414c9585db48a852b2e3e2b0766073024f09f5703a7959879f7f2feccb77ce6d0a11216a529cc31f11a0bf7354324b6438475ba27e79ddb2367bfa6ab9b9c4db0
+B = -f1284c3d18b59d4bc93b5c2206b4c52f3e6d9cec5be41bd70b7f224936e69cc7e358828c98f75f5adaf68cf30ccbaab92b4a941f45677e64658c95f4104e0f0382e4b966026cd4bd7efc6f8a756153e3bdab34c4a8b97e12db9f3881eb14bd0c2c935f1dcb668b7cab771b47594865903b0434a88bc127361d29e457a50916f2
+GCD = 2
+
+A = ff315251623d327d939c03e221d6ffb48bf84d27273a8cd66cd0496ebd2a3129a3276d3b37a0ceba7d9c6462f5f8a9e211f86dfb14abedb67f5277bbd7c620157376b4018fbdcfaa6f9700fe02eebcf7b15ab24d1b05f83bf5fdb992b8d0083322e53f07697e8235aecb65104ae7608a010170baf996f5af398d0a53a4051c49
+B = 2623597f80ecce7793b6e339733a5f69c58c577c995cbbdbc1abd75084436e151ae59aaf089d2009022245008baee0ff304b8cac6edfc68c5127281a374fab301e890475723aaed6c68d926f93cab14a0526ba20746f1be937236e69153618b29eb66bec4d9ee3c997e98acb703644ce6475fd6b4bb0650a8c99d697a0f37a73
+GCD = 1
+
+A = -b1704c44dccd3d9320a52f68fb111bbf6582c364a8c90ae73f032edeb55a0519c5957715d6e84e29e4a1df69c0d7e87903bd919c7e443c94bf4dde1bb44013390b5ec007b610f1bed3bab1909aea3dd5aba5139a8c09ee6ac56976c9facff3b3cd39880a6c2b5504fef817f44e17980c9ef5f7a8186e9e62e7c9124f65ddae04
+B = -9852c59d799188ce5ce431d68bbcfa66c196ea4b0a4df5d2ea772d0dce3dac278858f5b9006108cef3e296cb3e370179c79ec44337772f2bdc7b3568101f8a2dd3c693a396ca5bc2206889917bba1346f0a7473b936ed5611d77e9d9ea3c28c8a43daff4513e4385608d94ca6d309cfee178d9f4f5b57620cd2d637a4efd905c
+GCD = 14
+
+A = 3c4415b064d1a9ca2e171def49f94412d8bee09cbb3acdca5250da87952ec224d4ddd779c162ef4848a1c01266527c5423330ba9d8f649b7fc6c76416260419bd30a9f00fc1bb169b25428056b348b90c7c4753d4b7b5db37896cd46c52ea8b558bab805010191e239ccc0ee7d36560c50be58397dcca6b92f1269c6562e933e
+B = 3fcece815d5c010417329c3d5085b094a564f712e4c0886750c31567b4309d8bb645201d03289bb4c986357bb3021258d88a5e7ab7e142123f4eac09221d8f20c5ecffc74aed3e8e4bec52837c24993a18249089ba1f182e911cd7b156d4fd59e88d49a42c02b04dcce1e5ce90b466f69d7a43092f1d94b071cec244d867f2
+GCD = 6
+
+A = -4c54a942bdf922574de41783f3a1d00ce711d3fcfdbb6b92a0698a0cd8a38029073051064373ce749e6a5da2ebecb0b64f401209e52ab1baee52d845340904fd790cc027392b9d818a9b046ef26a0bdf0bcde7b2c195981fc29f8c057e77baaa9b799266f3334e4fc3415c1f47cda88978362b24da9c2b5aeaf376bf00ae732c
+B = -bde86d18485d7edec3a185b9c26be8d6f7b6c2bf8d8d9e720e7ee534a968baa128403faebdaf6f092dde6a439993ec90987fb0d14b9385556c60eb65fa78402b708a62be8060bcacf4f93590b6fc23c4e1e3f2dac1174e233fed12ef81bfe4057cea22b7c8c645bd1e2abd6d166daa2549dd04c97b721a9465c368573fc1f6b9
+GCD = 1
+
+A = -2309fcf49841bae5c5c86f55f25c4b6ee00cf5ce08dee7ff3da46000b8dad6736ff9094191e2dd962000f9e64d21acd12ec4ee6355d339edb17016f6130929c342fce7886e7f525413f46ece6dde9931994c392a5478b6ae8e41e04799b1a0934a2e9069bcdca38868a10a3af35e77240310bcfa7962ef128f412448f3b62688
+B = 97d6d24f6a2f2434827cdd8c28b4912851475b3b00f5a7850bacbd6b4a824dcf23671ad8c844e462507d9be9be4e99888911fc2578097707c4b8d4fa3ad472086105418f29a60c31b6ac728c9b50f8cfa957f228df56b64a7ce940bbe87bbf7a9b49a2c4e37115de0648a73b1e2f26f2fcc0ecfbcbfab2157689d99337144629
+GCD = 1
+
+A = -8b80fbe4b6be1cc83bd6a26d6d9080234c5b07da67358271df77542f6e8790c043fd721ed52a902634aea3913cfe4b25740869e118c9d8e47ef387fc5aefaceab3d138fed594adeb7501063972617691fc9f40d31592dc3c84c50ec348c495053455c51c1dcd56b86cf3a058786c42a34741e56010faec638e1f3d47ba567796
+B = e4f5db9f0b73629fed55b0ef26653eac5582bdadd059563ef1de89b7c592529000bddfcfdda420aa0d658e934d98e436843bb3ead0fc604993f72ff5c312caf8d5ae054b4f7bfded684655b0230c55618a1e75ac9dae0a66654c349a655a37425e5d862ed3d92377fecfc4b5759166afe654d6dc2c0138379fd2ed6e0ff3073c
+GCD = 6
+
+A = -25dd341cb3dadb56db0dc8bb2fac2e9de48768448dc2ca90d283649690d60875054bc0c833b537db9de2ea0d93e0a9c8a1e4dece0bb9860bb68cb09e87f8b67efee82d7ebdda3ace99a09fb20b9f978e3c4c163e181c0a21f2b79fb2035bdd7a649810e35b08e728448064ef7f760471038c87a24916bc9e2c79426fb596505b
+B = -4724a0a3b175442acd9cac6d9436851b030f815954d22cc9fcd47ae8df7c415c231cdffddbc2dc8694ac29fc84e3c7e0136c1ca97a034f9fd7151051e02c500469d479aff5a4655320985a02225a0c9d3b3fb753536f38be41179d3a185b8e12eaf323cb75ab89ce857fc32f68b22238bd893a1f51aeaa5940c5b775d95a0974
+GCD = 1
+
+A = 80241c665a7ed2e7a524ea291c863ca5fad804e9b076a36318fef8ae778d589c81035d991ec0a80374ab5d9885cb2a1380807b460731395155b1e4404b974e48e3a79a2c24f959cfd14baa479401b52ac96be56311556b8777b1f60d73b5dd2a6130cd34f381f7faa3754091183b9d92062ce04c2472aa66232cef266d131dba
+B = c57b452005a700815b74b6ad007a5956a9e7b38fbd1e845fab71ba20f70145232483a9f4ad487de1bcc812454384af134a1fb4e5ac5412e99ca9ec38334f4e7cbdd8b1593b2247bcbf3dfdc6d0035aac4d0a9132cac117a3e5e67ff2df09b74343eec9a00e382c6462f77d498773668b04b0f549ece27910ce4b8154acd9be43
+GCD = 1
+
+A = -deaacadc27f44cd687d7389db02abb38747fc47234d05f89d9849506090b3a2d03f157d037bd2d94635160fe7a94420d22233a3c4a734f73252b0596b7c1df24e7c00ba112d98102878ddbe78c06dca3d25bc496222fafd73a439a40a0f47e856ea2b81e9d94504a78f1b61b5ad80e67db6e412e8d35d2fb8825bcb9a2485065
+B = -c190f03096fcaea2a441de085c818aa1e2da9a6dfe12a5fa03ddd5724c194b96ff0835c82132400e17925468bf8f57c24b515728f74e5a80915430eba481adee6a486a752e6366d622322f3629611c6c0163ec92c631cff8015e628542d4469a80d291eb651fce648e8e7599cfe129889bcedf3089232c37fb39c4fa721d692a
+GCD = 1
+
+A = -dc1f8cb9f7bbfa870194b7ffbbde4fd0f1bc91d1f6bb0fbe11d5254ce3c4c8349ee0870533c910444ae83f853d9c0f6cda9b9524a777bf904b831519b3f5ed90a1374b18dd15fb87e55f62b64fe18e327bb3a558b993076b77ab45031a355c76c9c2c44fa6309af0d8efbc28bedf49846cd82686e107faed5ae114ab838827a9
+B = -2a8023a8ee9d2a7b86ea867f0eed181754ba4b77c3456922b248f70dd54d079a7bf3f1901720bd1a81913bd507abcb40d6193b995b27877eae01c9fe562b96bf096357f3f57178dfc5a2d51abe538977682fc8d1cfbd63781b43dc9f8c88848b56d8da6d3ed7a2d5476afeb59f9fd87df055994a3c98207111c18a05baf7f848
+GCD = 1
+
+A = -b6404963ee730caea819b2768fcc211e65e8b69dac03261f23832df155d59fe095aca53831b62dac7f8f28ce3fdc23fc6415498ba01323153c566108a8ab9f8508196f24894e7881215028ebb50a1a984dc57c01afdb14ecf1526d3cb58155dce2b115ddc16ab6d22a49b35703668e257b81b9c3922015fa73239f64b2a9e2b
+B = 6f3b8d004746f2069870ff11291fd76dcab58ecceef1ce75becd2f0361359b599ea0f8b5ecb210b2816c958a7edddd56cac2e40a6c4c4d88ee13cdc392bd1ef94502591fbe17564d7732a37cbf8cd84ed318d3e3d773b4f69d38165a3eef38fb15f401521feede5aec605c5f5c189b95add893a24e437f79f025f75808732e91
+GCD = 1
+
+A = 2c1e039dc7749eecdeda015b186faef593940045ce5da32416a032dc8df85cf03e29ef8f664031b8d91016bc3bf671c9e70de6f4ed616cd2989814376650887300280582fcc65fc83212998352c69651843d797c9d486b1db1d1463872de1bf2596c16233718a3f6bfba1ea08d4166d05dd17a5fcfb4350bb0d08df2752c73c2
+B = -8ccc222a304c32c804507edbc0a2c84e96c9856658149cd86158e81b1df4b989d3f456c24d5d26b04deaf42b1571679e36ba065d547d88a8b915300d63bc07e0e375ef3e36437161db245d15b9973955a027534a999bfa2a2b361dc82998e900918e8880457f41b7bfb4482a4e05cfe253db16c17108d66bdcc17b01d979b769
+GCD = 1
+
+A = cbf176a710cd55a804818b61b215ce7bb609831c7182fe5d900504b71ee62d2d73ad2851f8729ce1f244e8b7ef6f937e655adc37de625f34a3ca76d4081a3280dca1fcf6f91f2d8f15511179c881ab4fe56436fd2a63b998edd2d405640a7c114901c29eebb713e599b44e6bc2dd70553d6ad86867c75c3ef2f867c9372d073a
+B = 6636f1b74fe94cdcb9aaa132d0d53229a3c2d404af1aa2a14505bf14a495a8ceff5c4ff0271b293d3fb2d120ec8756307c6d11b04d4b0f71a9c68b55e88818454a74fca8b4a9da32ed09f659791dde6938405bf7cd3d1e83464de6bb59752f0962a02c53c83e9c3718f3e39cc962323bd1593eab293427f92c5fed1986c4bb9c
+GCD = 2
+
+A = -58fce44487aed61dfa6a86099cd21c987434aade86b3e45c5989a19a3d99d302e76bdf506500b9792bb5e9d6d738408d7622aeb544a6891a902f2468427ca3fd02ed126b16fff147cc6225375f1cb0c7b6289ca5bf81600548c9e1a2c132aca000e4486e7583d72281720331f2ba2d6bd0a76935c006a05ce415cea3612366dd
+B = d8e9d72f23d2d8b47cda6f4d869dd07379c8f23b31b17e719b794c0547d441e4e82f3c3e1fe8465ff204f8038554b88605be934dcd262401c7fc85faa6674af89a46a82cbd98bd1be814579fdc92a3ad0459009e6936d0d62cc101a78bfbf2bc1ad58c9c08ff764b9ecdde87087b8c718137f7ba52b80bbb776f100d26c88116
+GCD = 1
+
+A = 39f19cbd6f6d057db452da95ac4ab52a3ec56b3eda1cb7149521814949bf04629f76d6358dc4602502974ab0c7090eb27cbfca4cdc83417d03fc7c987992c487ff0e82ef13680510ab43a98956dd315350e81d72dee3a280e04056f49a27de6a0cd56a1c728bffb0a48a784e527eca0b08e47b8272aa0a47171c0a6718d3ef2e
+B = 73caf7c97b71c669563026dba47ad94f816d3b50f230ad64c5d4a5f8780081c6ced803db0cf7f9309409e77c30709060e97c19c198917d01dfc2bb001f79fa5840dd481fb84bc023a70e8405f4176741055f0c69628c7c581963c4b55ad58c3c95a884c0ad527f28d906ead7f8fb2f4bbf19ac9afc688ae6dac6a424207db36c
+GCD = 2
+
+A = -ee15e8ae715d4a9128a6a68e1d740d3ec1777279a1fef0b77135a277ed3338976c8d159f1214343e83b7c66d382fd4a6e10f1f0479a0eba7dce759ff5c9d935ac5897c0890a90ae2cbc94db7816cfb97621da2df4222d77b20877a409dbd2323ce7362fde977d70278dfb5bdbeb27e0dc6b2c0c0a03bd538b62c63aa2828d1ce
+B = -b39a8782878b900795a3e854d0d24353b7a86fa182ae9c9f028ead664354baf03a7635196f919ec9420f3c3784c491c67170bbf3af853174d3b996d3d06a52a903b7b37359b36b946bf601bbabe4d945c64e44876dd727359d69d988f2c6838a9cb94ef4c4ebbf4da9bb1de27ef94f8bdfeccbcf9c852400a642d8edad031adb
+GCD = 1
+
+A = -dd4c7f7a119ad97634c818116155e93cd64d40f7e5c4d17e298309f480917530912377df280e87f3a3dce02efbc5324368cc75109eae70918b0d6a83d3142cebf9729421a99d34757b101ae187e6a25e43d527554cf2b86467ba1b222f5ce6deffe8dd11de40dbb94e864456cf397f9902f3fcea5699056f9ee5bf9a276fd40a
+B = -5dcef43bd093d11148992d7819bdd3e39ab27a2f97c8a4d1e82a7d64a1986213236fd7140b60ce280285d6f33dcbd61d4326abe96d9ba1cd96d8784c75a60f2ea186fc1543c6a104dc93f619a6bffb5da228bd03c9e71b5554747288b7391b3dfbd267312a9c81ced1b919a18b405c3b40a2ae2ed1d3b23fc8388b05f4e04107
+GCD = 1
+
+A = 21e25e87c110dcbc1c88cf83e4fa483522fcfafa811eb3a46126e5b47adbf7bc6e3296fcf973b6277807a8d985dcbed207b920071664338f67a7aa9c27a87b5ad6c08f1ae15161c7c6ac92540649c1d791ae3ad428463732e701074e9d3556da7a381451a87076ac360a3150b45dd14c72770cdfaa5b6d9b7b9905e7de13014a
+B = -7026130a40faa7f8b34264359dcc43c05edf43448e3300b9d0bbad0f91c60041a9d65ab1e00d61380be1b1028508e775aed11154ff65c159ff6106fc098cb6138141a13a8dd6ec7c727f0a1658fa867ab81980164e29b9983c143cb0cbe216f9af59384035f59df15871e9a37dc69f4abe9f4babb91e57b1b03ceab3ea71f0d4
+GCD = 2
+
+A = 28aeea020d00e8a8bc2b52e292f67167799a53eb8937bc5cffaf12d913bb5d7cc7af9a734b53993bf9412a4e8bbcc8a95d2a00c48981c2c13f23142dc6fe6f4e3535056135f9f11e46f20df0911d8f68eaffe197dd179b97cba93bfcf57c3a8d0c3d0a18afbb357c2c3458858c28e40ebbf6b6a34e936a6852a216cc4e9de8ac
+B = a39649af490acc0c517a06b6fdc55c054dbf0b146ea75d0ae95a6966c2fe49c4d02f71cb41cb52943557b2e5d46fb3f070105a2da60b6114de2e18aa480d514c30aa03830482b05a2b46175a1c005bc93661f5b103dc8a027651ad74e05b329476302f38af7f38c3e54e59eb257f0ee1d94adfb37ac981b86e11d5fca3777e20
+GCD = 4
+
+A = -add759f78eb0bf1225e75fd1e444e0cf4c5ced5ab44f07ba306f95590ec019674a08547ac37b69f91d7a4b532df58eb79345d29921349d7ff157d191cb760ab8c3d34dd69a2b23ea75d382fa91c46af3a75536f5cc61b7da2dec41cb59d3638bc89adf62c2024d304d748296a0b4df510d82a7cf8b8b78152d2a0b8d147ae9ac
+B = 6440316fca0c1a607872f52500af7ae546a0fa8839c18a50d650a16a25b718f6381f25691989369e1905f5416cb2d8b0bc1e06f9d4cb159be4a62db2dc637ff66e171beec9400e690628d5c031f986a3a5c604f5ccdd419e9ce64b29ae59efc4da17cf2ce57df4989f0f4c860c186546037e6f8b91568a2573db7316d8fe0499
+GCD = 1
+
+A = -ec6793aec3a80a88d520e1cbf9e0491fc1490b86c91dfea1be7a3bc95c1df0d6805f86c7fbd284072d3ff5813078e728362fc3749810f30507c6bd4e5fa81a59652aec5cb183d09d775e5db809a7403984286eafd9c0f3eb7f6762c87c9cad421760e5bcc91a68542f217fb8b0e51626a35900cce7794bcc57f1ba05c3c85f5e
+B = -95b811cca5cdb0de74b07a3fe61b4fb4240b0b6b8ed33c6a57895c57ca992ffa9de3a54bcc7b8859badb4cb2d598bc1d54598179bf246024f2b0d193c45092a6d3b4c9bedb686daec25e865d9b732bfbb5198da003c35d0520bab11b8bfeacb99236db007ff28554dfcb3487b215ef2f4245c270cc1646f046d52f2e4c42084e
+GCD = 2
+
+A = -bf1e7065f80eb95535baba14d484df406d07d30006546a5adfba8b85c719170416f1d1f511aeb5f2c7a997b82536d90a63bc8becc8695e011f5d48964db8a77cdbd0712274fdabafb11c51dc927657d49d09fd75333cebdd41497d6338ca585527bd5e331ec864c360c8984fb081a01e2b5706e70dc38b1ecde23380a2dab52a
+B = 526cf04b0858eba00bb1e50e061277408d8df1cff759b55e31264025bac191f216c412b7944760b16ce8a7ab5c92df288c703184ff8d9d2774882a76072f0cb5868c091d2d1d3631249dbb5cb52ab5094f51c319594ba9485d26091144e1718b4811f21f6271cf3b4122949a1b67076849750d02422aa3c8342e52fe7b2874c4
+GCD = a
+
+A = 59a2e4b8c8f675e017cb86035f5535eb7a64240277ecd16589ad1a369b9ef2ea793d2e7cb546a319d4d94ee689e79323eafcdbf1a0c87c2101a2ce336405f8d79caa7309cf4cfa6f2de330764ffbf004028fbe5623208872a5ea278cada4b4afb4ff9861ecaf65785679788d81d0f64938e6cd11140431087e5182ddd3b7ce85
+B = -1b1dc27d9a046f43701e96bac5c5060e52355b01131c0ae67c096743870ad0a6e50558595720fe3ff1a804c6e275ada04250e0a60e53078d8cbe39cdb97e3980c591c48f8a07a2fda7bfc5f20991c22e45d8d26ac6338cd59562785a29a7f157c60d9eba7384cb99a1d12afdb83007ea9bae7bb33a54f7a82540a78e6ed981de
+GCD = 1
+
+A = -c5855145684dda3a6157c7f40276faa5b459a96fa41194b16bca9f7883d3cf30de7b15f302f178b10683cc874f9a26b5c7592c0531025c3d98d3aa13dbd8527e0256db203d2967259cd05c395a697943a8d8ab2866b353d9e026a5079d44a1564838d2d784daec76c507f72c4de9ffe11dc3eecabad0ef009a089936f85ee4c8
+B = d73f67c414a4a2f1929d4bc94000b4de88f26bc44b06288bff6b0ba1bccd72291557cdbac24503cf06c4996fbf6489fda8b2313cfef341388865dfdecd0fba849d43a9763aec60be142ca840cf99042f534798491d43f2d3e7f0d0ded2562f94bf82b9aee6fb9f948bc2a16dc097d9dcc8a3dd3342f5157b71c2b96cdc5d6f10
+GCD = 8
+
+A = 1eb6e991c2f63f151fcd868d954cf517ac41af0a3c24f7bfcb6a4a6d8162fe69768a27f8ef7001b9b44cd7708dfdf485cdca104dad9688207f3cad872ba29453d78fefa6c89ad20602678ba6ee50799a8c30cab4b0c07577767448f8a70ab86b0174641140717be570f16f748905b60b65965a275b2d045a18597ec9738f545d
+B = -95efaaa084aa7b21d04d821086eb2a0499c13bc541b52dcd3afb0c67b0b2993631beee8d96d99f094a64e176738862f5c2c095b4f5659d028025c1114e75b7b493e863c61b5a1a3d975cbbf2bbd1425eee932a508f6c45ebd5548fb391bee23dfaf1e6977e1d268f381dcb462c048c2d770b28954de2f309cf60df76b9bf03eb
+GCD = 1
+
+A = e26094b51fceab223e9e4f67f32a38dc4c973316509d290cbd1447410f489ae7ceba0719b38e3ae3003e0ed4b875b09a3bc718a81fd3b979fa2905b51758021d632240362516d48306fffe38acfe357c8f71c472c11d71ff6362e752aba5c4b1daddba2af97c445139223f723a430e6838e3889f622b38fc656ce14e52d1bfe9
+B = b4d080b2d2e99d0a47175e28c9108e90d1abb5abbffcf5f4fdfb13d08cc0e5372f250ac514e1d8defcb00755551c96c9bdf924718290df64ee4dd73cc4758475b4b25dc60a1b71af65b0c9e4e33fa98e753aea82ce5ce2c555e2bf74a555fb0b7f7acebb719c61f2fb757a6a0c421937332c9825ac70d993b034b163860269b
+GCD = 1
+
+A = 8c7c206d06d653c17e31bafdd2ca010741f918f76ddd2b20f47f3e4e888ab7f953857d112209bcc6ac880d52f5cd3f054cc9fa2ccd61ec67b5094984a99eed6228ecdf38b5f61d965ccb13f7412b8d9c76ebe7cf0eef816af6f66d3202c4b43bed95fb9f25ccc0eb9943469f7af2e07d66576512045fd38ccff0d97041f90099
+B = -3e9d4b1ad14e0a58255fa474b416aed7cccbb967949643dd99c3840da40ee5185f56bb51065972eb904c7fd2be5bc20a582143b19083d3226b77291c31add90c19e29dc7b622d01cbab78a341ff37cd53cf78f5b8dc354425764ab628b7f7417f0ddd55a0dd520bc7aa365a4d7dc30c8b953340549f4fef96a3ee9b0c5a7953b
+GCD = 1
+
+A = decfe8c4bb814e0dadabfe91e6592be990c548808bf617b79008a9b9148f577f2f0d44cdc0f61a351e15145c70848c8a533d82841215c508c30dc3c0e06005bb111a39f0807f4b3665dc6dfa8ed60be00ce5ccc6181cc55da73a9546172cf6cd41daabd47cfa95e70daef22802dfbd0f2f3f228e8a5b58937e1050e8ddad06e9
+B = e46f4d5ac9d4694c2e5df86cd67814a6742bc1637a5f5460db961f8ca815ff7c010cfea0ec5fdcab593cae6cc390a62012ae56273ea96a64cf7f23e831a63da74e72862399bb55d46b9899f089be38155c03477f958bfc0fadfdb2defd7b93cc95888b8878633930c8eaf2a335adcac45af126fa5cd152b9289882a582338d
+GCD = 1
+
+A = -108641a52918e3f0bdbd0ba2e35485821aa3b380b0f4c3c38243d17537408aa7e3830aad32c8a1fab51ebb765455a71d0e9c2389cc9ed66ceed519f9c0c6a54fafe05b1397575ecc638f397343a88e226aadbbac0580dc81baff3669211dd867857ca698871e312ec0850e2b2e6c510d9cf691e72143316821b828a1d416ec18
+B = -46c241a009d35d1b5fee0fab2b6b3f368ec1ecbe78cddda786d8e98695059e5d871081fb5dc1e355454790cf5a0de801cb6734c3769fc17346df3d55cac21a84e82d829fc8965bb158efe1cbeb1994298483265660529c9dcee1ff73e8d91a082f7db8869d2504d2ca2eeea5b7b4539b33db24208b4fde855c24314fa5e3f448
+GCD = 8
+
+A = 4720ab93840e403322a193d011ca967448fdecff13a5f28766dd52d4ca71a2f7892585636bef4a3e8fa8dd13afaafedfeefbfbd3b1a9790436207461d871b41bfe1a3239f22fe144057b47ff6c53db5342023368dc0769b324884105ec3f70a29ec81e88e7940c12ae2c8ac351b318c4af9245210df9e3b5fff4630796b3bd05
+B = cc4ab82c443279bedf49cbafb288f64b5ad79439d6f1fa4c8e7b545878fd2b154118ffe2f59f01dd4798239512368a155c26e2f47fd4f762428e2acea296ee4dcdde33c1f92509100fbb5bbbe084d229d53f33d3efad26d9da641e67ab536b7a2bc47b64db5469db452410f81e8b7b236c002e58d8cff0c401409317abbdc6e5
+GCD = 1
+
+A = -965182269555564514c8ca373da444e119e27e8754aeb60e60a3a3b55fd438d61fcf33b8adc9cd1a459f58b96ba78447d5d2f788c5537009ef083195bd2711c3bae1fb592d7cad11deb56b50ee40130e3fd9e7c8005691c3f289b18c5b40d9ac9f0666f20cb5bff1f395b86d2e8e84c2906b247168c21892cc21a0dcefdbbc00
+B = -bfa9c90eb11f3d7c78d2e51767a281ce6a6b6c5c9692f7629e3978817aeca66afdaf6e063d27e407dfe4130d6b5d8fbd72ad2a2f39a5da1983613cd93d04650244f097351836f7a748d8711c86974a78711d88266cb3c0e5e56558e8d30e3be738fefa6cd20f879a8180c19502beb0aa9592e245e2ffb482e06f9b75ea5a994e
+GCD = 2
+
+A = -1bc6d0c4da357def16e0ecd8d61a32927e3a3e0f7cd636295f3d190691293481d3e188f2d824214a24537f93594c7205e6aa805e7ebd931bd9678b6e162349f8acae10f2631693dbb17eb9d17c86379b7af68cfaff7f5d55abc78f3038c6930623eef600937a0ea16dd61461962f15b71e6622650d66b973b78e1b9eb0126964
+B = -7dd3936b644bc7108a50a2d4644cc3449415801264b65ae2a2cfe0aaaf78618e4d2404c458a49e9d4b92c566cd648e875c1e71c16c38f205eddfcdba304fc811ebeec2df0ea4d9bef1efe9b0deaa4093961a9d60bbdff781399175385fa970a3fd36b81dd62c03c0d9ced249379f97faf87a0e17868271029a116a0d8a27c2f
+GCD = 1
+
+A = -609cf5364be77cd9b14bcc5427082d76d8699489b7976661ecb33022cef1b6bb3fd4dc6642f019743159e092edde7f27643183a28f8e7750ed993231a3a89c22990a7f1e9aa48163e62a43129e723e8fc20f93d12bb5104c4538a5e41697211bf2a962e0b9cdd8c2e3f51698a7828b2a3d624a30674d11569ad332936571913f
+B = -54cc20a73c9b5ea6bf4f9b53fef33cf5f00095646698254e1f4fe4c9c9ed32c7843d91b2f0e8551c008cc3e3778912be9a033e4aff024e6a90244a1ce63123c84c328655132d47b8aabdbaec09a62f4c78f04e045b87d9cf31592fbd199cf5c976d1db7c4de78110f3ec1595b3c061e6ce4b30c5ac998551eb11c4e1a7220a19
+GCD = 3
+
+A = -9278ab3412723ee755f31b5562e01bfaabc5063e0982d5d206e39baf99c3e1737b4a769d5897191c0a2715956412c83f85cdfe541460170b1e6f2247b732b31928320bcf576e7ce7a5918af874e78877044d8791149ccb0290cfd061a6d75785f2681d36819d11fe614b6a2802ee14540e7dfab83bec25c98f5e72055dd7c703
+B = -4aac16fe70310304c3e47153a22066dad0be2cfdbdcb18444acf6c8663972b5c0fbc2c0d8e9bc3ca65490a7d8d3de9b71fd0b2ca744f0b7d5153c968cea9d9908beb6d914b6465ec4af997549851be29589fb3c90ee05d066aec4fb11c7f49309ea1b8624b2d7f07b4dd13b6132af1058b3434c126abcffa06c7ddf5b706796
+GCD = 1
+
+A = feb6083cb588971c55d225b3397ec83ca47dc16b9c9852ef6388041cc98c328178bfbb1f01acb5370e7a2788307f13750f51a5089a27eb5c7a0425507410cc8ecddebcd6517be411556325c5bd4787dc400e8014148638ff9b79c1c16fdacbc73f8a2fa3027eb44d9e861639b503fd4bc22548047b7bfb11ba9c94739c318150
+B = -2481f5bea05236fecdf86df84a5a6ebc11540d1ff890126def4a3b4d2f3243ddfbc2e1b92333e64e1925e211ec59908740630c5bc33d80ac0735ab1867d51f6d3fd75d47882c6f638c70e90053d83ed0df56a3a88ed20839ccbcf13dc207389107427acfda235945c4b59a7fcb8f0f16269f1f5fde8b6cabc6babdee7e4925b4
+GCD = 4
+
+A = 4d29230b1fbf92c77173d0c58b6bd77f46178c3675da41927217c0e8be65612b0ab8cee4bffce9e9463ce5634f1b06a2769baf331e3d5cffbe45d33c0ab7c7d6804891d3f1ba305aa4e05b56de7a5e5ea7f81d95304deadf974b1a23132ccc5a2bd3c9448bfac6873ae274e5cd13c2e8fc4c93fc2d523f639c6fa49a818550c7
+B = -2af726c1987c192cc61dd4ffe3795dbf798e913054f88e89d85f9070febf1938562cf3e42f18f520f170a776f23827e593dde61de519dabaf2e2311aee22102935c60ed40feb5c07fe595cd568144918ba205cbef87102ef4530b334864a97f3dbd12c34162d4def59a5481236b05a5224ba2a1a44324b874d69deb014b2ffc7
+GCD = b
+
+A = -dd5614cb4dad71bb4eed045b6a8274c8b95daf78db7b9e7b77996d26f8dc47be1bbdb073145801692e0c26546131ee08e0461f01d9a15d092c189683098b246aab46376552feb1d8dbbe9c57ca86dd67b1942b8220c9dc561b340d569625c17d04a19aa87fd7d3dc925df3751ad641d848349ea15039b37d1bab2ea8eb9230f
+B = -dd5fa9909377cf34eb858ad42b67c241488b816f2ef2b3a80c99b49b3b919833002648d7423e55ccc911496925005241e56e2366fd09f5f20c1892a81ebcf6247d7baccb7c1e76d36a68d25e994854ca444c70b235d940a55f84768c3f68336760e6e3315bc89ce4d438733d87c0e04437666d6c28e3a56a5480665a3b781319
+GCD = 1
+
+A = -915c11047d21a43b83958f7766e33e1bc7b74c9420c7a2ceeda4327d9a489c78e7c968c71aa30e421981c2569ee4fa4732406981bf19fc0e05793c22106bff5d73f281512710593e69529a2054717e8e3bcc52080f093a97b936f827c5500f0b34adc125f0b43032558f0f8d72560aa9ffa2601cd2fb9915c0c7a7bef529b1c2
+B = 9ddb97d4e9e1b49b0b0e9a7da9c38b6a0e4ba0b75d2da4aa423428cc008c7ac34b32b8332caf632e6a51240d7470c5032ae2b940efd6adf2fae22d9f005ebf5c701706fca7f84740100917fef5c9472f8dc9dfb8e78728fd8481f6c9a4bedd3241cbce55b266a72428643a38aceacc115f51b3328f1158900acd0f3a8c823440
+GCD = 2
+
+A = 86612043066c45ae60c979c9b67fa9ae4ee85426b9e32ba7b2e7316df889788c385691c9b24f83de75f3b5ff2b106243720819544ba0653745f22cac59535743cd1d471709834ce7b6fd46b65a3fc7e29f3b384c91de8f8fc6c82d10958b68860c8832fa71d2563245e4adb9f796095297b1652ae6c8ef41ead580750cce1abf
+B = -917733cb7b8d867a089f105eec7621da224c139709294486df873114cf494a7a871944f53acc0be462dafcce0426f4fe9259034bf696d4392fce3488c4748f279b8b629fff872aeb2f60905733d33585fe971a048721e2ba4ba910d4fd69b231ca0623d504c2631fe17cecbd8f9a5934f5db095cfdc490ef378632610a15bac
+GCD = 1
+
+A = a7929e42f128d36dd7818b3ab03dca17519e6c057e3d3bec33832b0ad301c78f8ab8e7b2d07c5b0abc11fa02ef8b57e6821e014c5fa3ef5548295e31a877418768b5620a1b53e38084a4b35e143e2cdb8b76874114dc2b492df26e242203f2a9bffbdcaefa953f94517e3ffcd7e26b36600a67340999b065dcdc11544a1b0065
+B = f4b4ac68aec905b66fc923d96ea9c6ca29fbd892633e363acd507c76d19bedcb70c66b200130f687c4a244a83a8c472f1c0eb5399dc010c26613f037f968205550bed377e81aa73571f91ddb714b3270ef6f52639749890efb68a8a02e82ae414ffabbd302030267a8f556cc1092b08c94b092805a60ccebae506412556ec564
+GCD = 1
+
+A = 9a2fa5625026df897b8d3d66dc721cc70cd1740fc1dbefb91bbfe93c099400b67ca41b02d5712fb51ed21c5f3c6450bc0e1eec7fee773d893c110dd67d64da2d4512969ff9e4ad17ae72231a425c3ae547ce1758e33f35d625ab45eddcb53ea832367b7096d44c3578530dfae9d631b8cfb84587b7dab3ea2ecca2874ed76b2
+B = 8b6f058ac42f82e6b1103fe7df1244cd54f686362fdf88d529636b71c60a1c7b612be33b278f429a8bbc00a0905baba66376be1f2fc6a00d09802d7cb08268cb12583c042daa50047c738b2a2c940a6d4beb974695348e7eb7cc7ebcdd4613496e56b305b3caad71d55bfd1bf08493929549d4fbd1e36c1cb5ccae5190241403
+GCD = 1
+
+A = 93457720b36d35c89f9317d0a16b0a9fc47f29551a173a075bdba8e575c0d5857ef29934df7ad0da049f09d85e3a55cf5b7cb32ddfc5fdb2700f8dca96941ec9803151f4903173c219b6a46bb4bf92be0aecc7d055821ad8dfa2fc8f5b3b329cc1c86556bc286187f29943f8bd603c2bc87155725ea746f4c2f14cfaf8c849f2
+B = -dae7a6bb1fd38e5e319c164b0e011093a90dd166c80a773381594e74d00f735f0683c0bd5aea1a202b88ef0f687f7d83819a2e8680c39a98aafca159d443d411cd9b62209a69ea21a708d7f80598d9d18e169b2e8b4e50969a474afc9bd8bc5deeb1c00dc59b8a587caa385897117ef00ab76aba589ad1dd0b1882dd1c0fe838
+GCD = 2
+
+A = ee29d090e49f432d919a167718a2326c1dc349eb0c440da2b7c2c5f076b63ecaa82e8243c39801ad55e4bb61f4343526ea3f104b726a77d7828b89e497f45f13891e72fffed6292d1397c36084e9f4874ec33138c88271c2f3b5798dd4473d01dd7d671ade1aa089acd55c5c67e9bda517ce483b7ec8a9c3ee07f8d7b2aa90d3
+B = 3a7964d6c34f24b721116517746b50a010581f851175c09ac3925294c11fcf82a6a7dfda5b9a0c8eff004fce8b4137629da9a3a39d8f3cebd4f1882c580c64d205c7d40567a3b23d14fee1c6844c0915df7bab14d3e6c7092e336c364a0054dd4eb973829cf67985fff676cceffeb179847ffca25a904df326e39188f7c802de
+GCD = 1
+
+A = 8f86e06ea9b5a09439d8a3d1882e43747e43eab412d711dbacfeedc35f0a0164568400bae37a9afd31a41de54e56778658c116c0017eb3b1ba2f1cc36dee7ee20c36b7169fa46abae2113a058868cec9f4df74a93fab7a00a1123d47ecd62e769f7418b74543570e814911f2cc1e4a9cb3a949fad92f3ad1d8dd6ebe12ce32ff
+B = -8e24b629a7ac29a0b04b888b8b5d85610136f103012f2a993c986e6ae4ccdb7a5761fe803c08e60007b89c7b3439cbd40fac15ebf482ca5c90338ac30454398423fc227de47291d08009a959d63c266296ca9963a3645c16f705026089196eae7187a7df82831a27ee821b6024e1bb6e8f860b909eedab00dd6362681c4dc83a
+GCD = 1
+
+A = -d2db5230d1d11cfbcbf401a7bb988408bfa92a169568d9c4226b59cb3c10c72d34e548a5251ece69978580a761b4a982c2151d3408ff33e3ffdca34f111ac025cb712ce4a20ae5e833bf92abe28a02ddc554d2f21e5fbadc2a39fa1db87cda271c3b1ad57af5ec7f3af6f108c4ee07fd445c604e7fa73a7f40f7a2512bf896d3
+B = 6e63e8e2f79c0f96c1b44c14f563d0d1a129d03b5bcff5720d84c28ab2d65d101cefeca7f7376b9c40ba7679f4b02b6fb6e6a1d5b1788051736943ebabc57579652cb26b63e4b50d5b445355a82bab195f4ace074004af856bf3b974a40f50e5fadda3571a914b528249b1ae4ade1d77e791f6fd1f096050cff54d3b714051c
+GCD = 1
+
+A = fbbe7a65aed45fe825de3d1e42e3417a0f87bef39e1b3cba51243bf320a6bcb91bb5df0eb934e601033945e4388f8af2b2b5fd7a03635e7b8a2d68e2235ae82eff312d25103cd31aafddc8e88ee01346266760414a46de0ca12b164f7e6420c23b084ff28953ae647018ecfaf9fb1f2f0a4dfb48f6fcae372801d9458b369642
+B = 7d0fc73d3ff7f2f0071f61c8a0c75e774ac6e9a46e120aaa5e851f167ee07ce3994dc525945551936276b036d3ccc0063dde1c963516103a4629125a8eaec15e96c5bf6e536aca39b605c51689a5d7b5b82907702b07f598850f25c9118f401d30e554f8ff450fe4693700ba6179e78e7f19c36147a718f6da62377c9565ec74
+GCD = 2
+
+A = -5c9885a9a4e82efdba48fe9aa163723cbf05b085981d92ecb9669789e171751cc8c16a8fa33b5ef2dbabab27bcdbdbd80492204ae95bddca7fd282b4238bac3aeecb63c0401661dba005fad19f336ec2bb026414ab68b66d3d0be57d845e45c597cc10b93ef23eaf307c0dc6c96fc95ed99b6325917879f6a47d372cf931aded
+B = -56eda4e3fb27ad7d32849038707cb1f9f453169406441f7faf2844edaa161d5d0373dd0dc2b462922ae3aca20165d098f4d123e26d19e55100f4a2186bed4cc34d6dec18c894c3d3beaf1318514ca7debddfa390308286d263a1f03bb44f56305f388bcea1794ee820b6e2c828c607953a466b00b47da8485d27bd85e3df0f1d
+GCD = 1
+
+A = -ea08bde44d189903f2bb180cd15649d611f8b24f4e1176f51816d9ff2413cc429ac7c043bea266345cb9bc4cdb907bc8e6a8de935ca8618474dc61773eb6093474f9476279492daed490a89b1993c8f88f1ee17a3ece6144d37e5385cbaf9a0790406adafef398c13022b54958559a00bf7ce9306c1eb3233e373d94a3a03878
+B = 23208b8db7f2fca5d86fd000801047e615e222ad327b06b0731b58706df0584e98e3d8c0ad3854bcffaaa85d3fcea5c8f11588c460be69e8c7d860d3fdf3b0ef885a7de5020c239a1b7e07f77ee3afa8d9af88cb7d5c819e8fa35d283f33032a0bb14312b0b82f255b123d0ed7d4918b0fc7c59060815cbce0c8196ff9720baf
+GCD = 1
+
+A = 40d7af35d73fcd7bb0db090853b0df75e01e5e460e7e2d1d59b5e7ce8f34f95937093385a306ab9e7dc1453728f0969c6f0373973e17cf9c771ffe81236e705d42a76ba20ecbbf0a2f08e5475b826c614a65865029f5812ca0d43c426073169821eca32801c3fb093b79a7b48f10792d59eb5546d5677a04bc58e311e5d60141
+B = 5b669b76c2bea241fb37b23f2e31a81cab2b40c41a48d91686c9877c0b0d4e291ec26334058210e680d0c98aebd4c49807924e2b2f40e5f9ae4ecd098152b1a658b26cd87c77dfa93218e87a172082f2c5b7949bd86574b4b4407c0409415c465767d3fb2ed1865473cff6fcbcd616e4eb928f45b44d80fe767ef760390050c9
+GCD = 1
+
+A = 35590707d2c08a43b87d483a322ba5807696ab1412f33069f39857e9543e149c5636003205b22a0ff3bdf2b29f7f4079ca21210c88a29e9617951ac6d0101326e9a18b5bfb3d78b391824e46e669571a5cde0e4c862e8cf80699fd1c9047d05decca517f0ea727465a23dff61b4880acf04672df713cec9120a5a0afef7b8311
+B = -911f1422cc364599a185070ebc291953015acc84eca89c3edc27fd7343aaa39ea299f4fa47b38d4be4ab3075f2f658a36afc5c9ddf205d5a484973c83ebddc7ee2359428ef2315de59a5ad5a606b265f42041644a85b93cbbded4fafaddbd65ea4e549a67423441af317ce5b51072a3daa609cc7b7f3f33ad906441ad1903e5d
+GCD = 1
+
+A = 55fa1d4d81cabbd6be4418918b5167aeb56ffc9e2c66e01efb928ec1a64db119aea07d16cd819f3ded475035019a3f5c12a9867c6486dbbaef5a07ed3f36748d4419b4040ba6d1965fa1aded4a410cb7c5c739a31a81ea95a0d460bacec055a6f06f8e8bbb70dd4126eb730140eb5b73ef7b7dbdc1a0e0724cbbaccba27c443
+B = -27107265daa7a6708c938d8aa6018e17186fb15e37f7bc4539d5269dee0d111799e0fdc81092f55e83e49c8560269dbf0531af1bfb8ed97754929c21e842f35045bf6769f053d8f0ea68adfced5a70bfe4a705fbd1a2f95487d5a1a8e200e04860b91d05034c7bfa66fe37fa2822f219184b522041ae964c7cb9e6424682e831
+GCD = 1
+
+A = -be3f07aa74a66505783d44475fa9cb1a54ed573fe324a644605eb052bd3d180bdddb6894fb478dd6de6da624fae5c59efd628ac4d6909bdbfa24b6ff4f77afdcf35c4022ec6ab0eb16da546c4062a8077f7a008dd24e92431d66ceddee1b9c7a07ef053979f12100fd7aa9f57f943b1af49d74542b6c2bfc000d465e07836513
+B = a042dd9632a9264df8e736267522c60cc23da0f7cc1dfe38dd68f7e1f801fbcccc3a16150bee8758e9295de45e23b8a2dd05093288152b4e55b8a51bc8a7fe1c5f36467b6b26a9e5876088e07c1bb518f114afb107524dd392742ccb64bc3ca21dc30019a61ec7409cdea9bbc65303a5b5a0291f891b48d86991a7625331d45d
+GCD = 1
+
+A = c5d510419f102fe480275a07e90cea34f791a21c04818994607c51418f148a7d87d8a9bc061131fb13cd521b39ca711358e3a6260e26e0c985af7ede409e93bc8002a349246b97ad43d36e239107256aa6096420f7b1bd902be95f8d4646a908f4db16adc4fb949821267d1b42a760a49d38f45692a657e899b7993d6254217
+B = -ffc32bab6fb45a67800b70a696430fc6658babe4cdd24a42be661ea59b99f68c9dc615da7b622ba993ddd2fea3b7865628f7588fe3c14a2273986d89ae7d8463aec4b7784a0a848564c49dd61dd91dc18aa136bd30aae70c770b11ebadc9260fc0848a6ece5f7025d9f4b850963a08f65944515830b735832c26203395869d27
+GCD = 1
+
+A = -66a302abae8e8d22837778086c4a5446a9f153b75982d19cef2fa8f34ebb3f8416da8db43730e83978c918cf757ab68237ecffeb6f1f66379c5a5af9aae7fd25df3951746c2a562816d449996a0468b534b9c6f7c32e7ce6271e97fe75df1629715c72a48ee76f54d10f737040da723b25756a01a3f9f83e541605dd6e711c2b
+B = 7862f54384670a8374b931da72d32ef47c97171804cdc227112278e8b128c3e108a2da1e9408eae8124e954ff2bdda0acaa61a7b347fcc8ad48a83e62691ae58a48298e76a9a26703909d24ea7ff04b357d283bfce193b4d613e1d521f38861975e27497c54d9d52c671bca8e56ad517118deebb35828c51b780b7b73ed5fb3f
+GCD = 1
+
+A = f40a35e114b30eda18d139407068b47f3b521731e023e4bb56efdc78e9f2bfb8bc837e9218326803791dcae3d273eeb2305210c480918888723ff54ed1c7af36e195a3282167bded0c971bd124c5940d10328db029c7f2e7ebb1f8a794a69e630ba53b480d5a3e0afa11710d999be86e3865c09ee628afce19603997e907ed04
+B = d178894ee19ff72043f9901fb9fc14ee3c14fb27c4a672e4030149d05570c11f231b7d6b1baff764e6d8fde86cc1f2984713274aaa15102fb2e13c489652aee46db185826381c8c4956e22811e4e9b86dce4b016d51dec1406f8dfbe17032aae4fafce0806057de5ee00e60a87742476cf6ee59bae42825f7fdfde806ede0e5
+GCD = 1
+
+A = -6d2bf7e3b56c003edab5c0a356cd0b46a2b85de63da5de19b86e4e739b3e6a5e180fa2adb56e70a05ed59b9d1cd29b5d243d89ae99767a341aad18cb97d81ecd5c4f0a4ad2dd8e3d39417464700f8cd7486db214591b9f5f9d41e3cd2ca286d2e653c92d75d993f6e37fff343c9470fff6a6a79b5b8badab82a97b374835d973
+B = 13fc8a3a132ecb9746994a95f75827429f73a4342e89d14f67ba7cdb404752055e06fdbf44bd381b815b986d2e621683c869a7031ef5b43c7a38568f100e7a35adc2cb8a5819d95d9ac7c5adb6bb8523283f0fc233ac072778cd526f7c46b3a1df886c7e46dc5c3fc7a768890e7c0e4affe2cdeb4c9fd59706a11323e349aacb
+GCD = 1
+
+A = 23c2506bf90e469e550aebf406dec7218fce3c95dc067abf5b2526d032d0c35570b9cc42488f802cbd14b5cd50b17b4380b94ae125e98179f2ead85da7dfdd3a06828272a57f144f8e228b91a8d323096108c5eb9287e24073925ad119eac54d23e1df805c85dc87b53dbf907b12270de3bb358b50ad352dc08eed4a35ab3a3c
+B = b870fd2a72f1e3059a17417fbfc62ec14331c22fd845015c7a132fd1793910ddf019e04b88eaa27fa04bb71b8a7d65648ece878889607cdd143e140cc50309c5b0b59643262e5a446310c8542b5ad442b5b384b0b044b66be44a8968f5a39aafcebe553914e22965819bc64e5b81babf8423c31b6eac7078c050641a580ddaa1
+GCD = 1
+
+A = d98ba781fab893ebc563f70717b1579b9aec15f4ff543125b2321bfa1062ff212a24a6f12a5c9149c9337dcf90dd02055d1340bfe8c2f43367fa956d595e81904c33593d2d2cf99961d1b0c29167d34f3bae2a1edd59f5a8391f9214fea17e797abd3aa22197697e3dbd5880a14da22e1b5a38f2e7c0582944de093a9b02ce91
+B = -85c9a8585f15bf6d22c013a3eecbacd1f7abe74601e6355b41394ceee24af75e93711ae7176d7c09ee6ff6152254f7c459db995f72298184bd8e4654d41ca83c77a1a441fa497770e60c6a4ebf0469c9500386a12e9fb018bc295a7fc197b6b4bd94b352e48ecc939bbbeeafd5baf8ef15826c8957cfd64facb60558899ad536
+GCD = 1
+
+A = -1fcf241c0ea8adf4bb4b280ba94d2eacb501ca71036f841daf004a8ae5725babe80ca52bd218220a3efaac09800dc6754db380dda1f1b0647b1571d70cdd5364c89a9f8351dca47109b4f3da34c577f3671825082d2d02df0d86db392dc861387b18fc1a40573a5569c5a2bb04cd2410a487895cb226d78f468d0ddc56730dca
+B = -f232f1960071ca338f9798a0d40ebd8b9b42480c8b824ebcdba56950427732cd8eeea8a8ffe10bd704cd09ab41f9f3cf506d2491ba2470cf6e845d9bc9838f4a43f83f48713de57e5590754eb8745254715618e190ccb7dda686fb7c214b0d69b8fa8d5ed64b23d218afb5be68223b9e64631c2f8c0e889e54cae11ea9f173e0
+GCD = 2
+
+A = -d73a6808b73654db2d7af9edec52300d1964a6fea675d363060705de7100a904d0cf54823c870b6934f8c1596ac85373813766e36fe2dfa1cc3008e29fd16ea0a353d70946d07a75fa0b9cca2b7886b2a04ceb8db84cc4b29ed8af2fdc63655da982f9c6901c33e8450e9321b716e4f340190a22ed18001c738c6c2b8c7e73f9
+B = 351dd90eb2a8085bec451a725432485f645e4397ceeebcb53d46a165224fe5327ec955548cb9da36f27728f14814aa1c4e5d44f38313b6978cf1cb6ae89f2dbebe58748809da73b03c8b3f35fb847e1b7ce57172586fd7d28b6e94de4015faaad63beace642b023221193148945d3ef2d75dd6e46c554d96d617ac5f2c23c3de
+GCD = 1
+
+A = 8b273a43a24a73b8583750e5f20a9ee68403d3fdbc5d5cf84726325c468d888e568b8299fab746aca92aa9dbdf547fbd5208aa5b75781582775fb9af329ed090f12c81a28b21641867b584eb1fc433301c980b034fbb13038c86bb9c12da135ce54d9a73d31637f0d2b55000f99d7b730ea1f80be12d61c100d1acf41ee812b9
+B = 5fa5449a098a665d62160bdd0a0f2e3223e745e35ef8b98c316b8c5589146441a352bd6b2a398dd32ff53a6681b48e2da80e099e78df01e23f5368fc8e374bb843fdb403ec103b651ac8ba7ca1a24163f49fd64d5550e18f13365f5d01528a8135e2a8eeb9b862b600a63a4fb6b2bb406b60b97dfa57ffa60aea87785f52f189
+GCD = 5
+
+A = c5bb6dbbd1600dd42f9318b40ee906ec90e830586f2189a1e9b5cb3fb3f34369117e7ad75e9919365487ab5cc246d5e54dd49a16622785b60dc5a5fb0905c0d11930b341b10700911f716eb7edf8e27a60e04e59054028eb637341a859925d3537714e126d036852d66a5cafeb5c5e09cde8e62dcce554fa0bcd44a9e8d0417a
+B = -eda665a311807c185f4ed6a55aa5b88fc2203c170b7d8a9f1af3de49bcda113869218a0bc99ebc277f74dea776b6a88e4e79f5516b804929e39ce6eac07b0d26e582422b347b8378956a641c950a5cb4f53d9b7c9b830fe10f8496e388e9a15005d4706bd9bb0414b4c828fc462de3023796f408e8d6015c11dd999d0d47d4bd
+GCD = 1
+
+A = 64e4fa037fa48604a5bc62db8bc35b542946707e500f67f46d54447673acf3b54ce01b1b0bc141a6c6bc2ce8c48cee4d94c3f7d5f272735374cc4fe40103d39c337be1bb97fa90ad5ba8c5459e96f5a1833de2521f987674ea5e7c2c922cca5b37f7f12f0a847c160bf578495d996beff32717451fcbc8758680fab9ddf13ff6
+B = 2cb7a43f80a8c11b29011853c7b981697bf934e8b476668433e0754b7bee52799dae1622513c958c2008f69acc481722c70a1a30bd26a8598e7d9ff9ab62c437fcc3399134e651e0fe2ff811793cab06fb80ee79727a91c00167b82f2c91ac5fc850d7e348e1f9fd9b43a4ba0752f9cb8cd48beca4dab14498faff4e0a21294b
+GCD = 1
+
+A = -1a18052e2a02e8676b55407d91c3e859d96a0cb155551538a5f22989c52ebb528144216b5f82e43ed722cb057c75a7796c1e1cfa93f8daca2affecd251c53df3bc536d1f3df878f31226e2198cb27451b05d40399ad8748b6b6040f5ceab39f2dbf0b1a0c8f427931f9e87c2e1fb3cfc33c4f3759a3194fb222030b9f30e8e57
+B = -6118ff3b70715c15c2cea688d257e5e791ec872a63509c86e192223b7409ba4d3105487e168392149eed8d7410b982052e65655f6c328e86729eb058fd006eb8af23de42d24de102da1183992edd0ab83007fd0b3b4122ac7a81a9ff20162dfefd00332fdaa1aab941fcdff9a62a8b732734415631185a261975710402c01d90
+GCD = 1
+
+A = -819aea41d2314f118f2a35f2918d9bbb91d66071193711df4e147d899f7d2c4922c546dd8ec850c06c42843c8357a6d237349c6b8ab3f37781508a852e67102933334c0869a13d0885edebfb291f1a280aeae31476fc917d9b446cb178cee7831d4248fbf53337d6eb72bcc4a30410e8060266e7fe5a8d6f8fe925413d7f989c
+B = 73823d98c1ed2414abdf1057012377c0055282639cb8cef9a9a8bd06b4a453ef0ec72560cb853ece804db8c77f374fdb39d872db6ccf6b5a6e0a5dcb4aca53c199817862f40ed9f04428778ef61ea72fabac2eb788c6fb4074f5ec1adaa7910fcd73ba2b84594a2533157de9e5535bcf2a6a4b81a5922e2d14782aad0ac24337
+GCD = 1
+
+A = dcd429b1dd6dfab665e9dfdbe7cbc1e95e67130e6a53127cdf37a8528944227ed8a1650de2098de9ecbd9210ed3c692965f35631214235c5fb58bc4519b8e2802bce00d499796e5d71650359098ad82fea34e06762a72f1fa419340d882b028bee4342295b836375bd6e72bc3efd299340cb3c4908373bdd3760ac2f51163072
+B = c96d1e49011c27f9e66ddc8965f3d2cbbe0b4a0846fe08d0d969093550623804dfe30f5032453ab751dec499ab8dd3f6d5e84ba28b2452ca9e9736bca8738917096b7c1de7f7d5d0b8eac389f479305bffcb50295607b66244f7ffaeef340a8dd94bbcf0398593c9fc34dd86f7a4a3ce8285d245cf2695d2e825df6dab61fea6
+GCD = 6
+
+A = -e47a3a8cab43eaeead21d9b42f8e60fd58c244bb6c654559c7ce635e7a7916b953493d849239ff29ae458aee50e3552828831062bd81c14f4bf0e25dfa00ba954d9d1d235e91428beead92b99b2527a728d7ac919b6d3184cf00173eb53c73d4c5891b2897ce5484753ec1ac58393f8ce6891cfa187520686a900746863658f3
+B = -e872e0a28bb17fcf34b13fa4c81da19eb465e81c8201acc77ec1922ba4457b9d9c56c9499a2660479d2669c56fef85b4db6428212cdec7b251c8e6c6696bea9a5ce47b8598c482d56e34fd654bc4d9a292bdcb82150ecf41d76309e7fa275d9d2b31840e3911ae801bcff8039628c4d9d86c22b12b3978dcd4f51c8821e2e1ee
+GCD = 1
+
+A = a325737a25f0bc388f812d88a061e7e90ff40d1013966f8dc4e98d6798670c221bc264f36cba7c29a0fc2b35062c9d84813844ae987404b611cc8ee76086e0e0db226e4288ad36704bd2dd30169ef00376706e39966e91cca894f68c8126edf2614f3a58c88e02396b5e73fdae0f8e6f1b59f405e1b557d93bfd517f538b0f04
+B = -648ddbad4f339a2054824820900bf35bef95d79ea1b47c3035d9f85889ed2cee5351f0a5acc4251843a6e28d0b7e9e6e8862ae65276d5fa5d42c5db7a3613ce68a6d3b4c78139295234d8f8a506a9e0526b1a2062e6af4019f806f27ed15f50c9455481dfaa6d9ac2878d60b9f54f959019a8fdc2655b6215832d474ae6b74ca
+GCD = 2
+
+A = -a2628d2c301970dc4cc026f468baeb9524c75e6b42f2c680fd2932bb4eaf85e9fcbe2ce3e0c36c20757102ec59d3b7cd78843086c3d9e2276d24a4b17d8af2b39f401f171996c20d55198ec549147b91b87e2c30ed9dca77f4b6490631b8527fd7b9746b56b23eaa2af9e3b8ab2ba7c3fdd6768e9f397240896b070044cffc95
+B = -90e3fcebfaf863b7f2bf393adeaa764dc4b65082511f723699eb6ae4230b808f94b938706c7ee626d7e53e74d5e50f0df0c21b7f013d23ca636a3e1c5d1e0794d91f5dbe6d33fda87d470a150ef0a3350f232e6b0fc8ddd6c41db47c4e5fcd32269343026b7347dbac9b93c560d4b4962dec2cd9160101d62b1ed0b919537b74
+GCD = 1
+
+A = -981e850517d3a94fd1a2c79628489d3e64bdca3b15c0f680a6c2b1de31f35a472248d57e2118507526a0bf25b6573acf9d7acf9477b60ccb0b077cfcaf3a42dc2b1b1f5a34071f3fcce65905f98e754aa90462374100b4c93f381b216ed808abb48ea23fe6402ee3a3fc88118f992effafa2620b17bcc1551819d1dfe6cd55e
+B = -33f6f2b67f5804020de6ac81f61392d3dcb492063505b180d62a16a61956b0e07aa575975ff011db7a04b370236f5399f1e07b9f0a54a662b4535030e916be62b595276d5c6cfccff7a8fa243c96d29cabba3de08183d3382978d459278080162519872f245bb9bf13a1290630986ab5a547e1b59655426015e2cb70b61c6887
+GCD = 1
+
+A = -88287bd6c8d80f5285b856af1cd02b619aff37fd8673fb12ea26ad3c2d3e646ba92bf68206402698b61bfa583585613db1de5cf910a538239c90024dd82f71c315800946f7ce7785fa1628aa5f6ecbb2f6f75427fb07bd031e4b4e4f5d9c4b21e7d7a6e3e797aeb4106d75fdfa564b62b5011e7e9f159e4ce9e388d0e5c81678
+B = -5d3b18470511a0001449c8b4f4d808e65de40ab2f0cceff3e5cff4e02757c0c057a15abd85473125be29f73bf048941c12c0c0ff0908e336bc2549f5273784158e90a2509f765e8cdd9fdfa70214b680c290869718bfd0d7c151e8728a004255bca8c36032b221bf126198cb0396f28942dbdda55173f1e54bccb0f057c8f84a
+GCD = 2
+
+A = -e707ca4c7e05331794d2b91e8849877ada09f2321db4da06ef7a47476a47afe389adfee8a27512203a208ef5e33f3cdb0f4b13c0d326fd103836824d6eff00af234a737b86989a35b99d01bd30c92ac8fbdaf8540a66562bbfcd7dd1fdbe1c5c7f00d4a42dc48a4b0e3908d5fb227c0e6e9e9992847de45117bf6757196da929
+B = -998a728d8ad5c87357b678a546f35c5ccc5f8f32bc3152126a6febbbc338a60a0f0831c5d55eaabe3c996e02330be69671e1690aba744e4efa717c5bd4eb3ee6c213947276a84bb0ee119ff259c9740ee097d2245b94ad7191e625afb9f5c85cf6aa45baadf2a5837ca80253e61367a12318c4128fbb8ffbb34aca9679f6a340
+GCD = 1
+
+A = 489d0db8b879bc4e2e17b7e4d0ab8fbb1cb326952c18a237a178a1d5cf46a28a53fb12be40dc827b89229d93b6d325c36815665846181eb3fa0e2f00def53ba9752d4f1e4b9771878023a0df23fddfa5a7c68fb1b4133706afec677180b414268c94516b3f76d520e12ce8f9241605043fcb46e8c7993cafe18c623404da40c
+B = -54c141f5fd5c3eb3c676320d0f2a556782a566d1e70d7ae1d250befb081ce28341ef8a32eaa7db5c403e7c20b855269fd682510581ff8478f57c9d187575d16fc3b833e6e166a9cc74fcaaa6595016c87e1ae96a80c6f8935cdb6433bfe5fce93c791d0858df626687a9e0bed30233d6ba6770b94ade68a22efc3dafa38cfbf6
+GCD = 2
+
+A = -5f2b3e3657e4fd856c207a6a4948ff5ee2011ede8ac0074c46608a08f875f6380e5bcdb1a57ea99ca05e1736ae34304efebcfe34ccfd0297dcb34298363964d854dc70e9882e3646f50266bb6444fac30625041bb75b68d2bcc1bf25c9029f0959a92a940d49ac59082c7a6d4bd2b7d54367d71211c2b5ee0c3559ecbf8bd106
+B = -d0b57739ea96c3bf58c74fc3990e334c77680d7907a97137e708be7bed12dc4d058be1eceea84f50fc60653e73527e2a1fe790813091dd6c65df97e8258a8df63c288f2ddf36538c533567947e275784211e89815475133bfba7863e4e4b635f70b43c47ddfb439363e2812f9f84d7e20bf0346048e7f19a22c649123e5ea393
+GCD = 1
+
+A = 70d8319092dd9e7d46a45449912beedae9bd9e38417653e83fbe1d5cb58380df617623006bb82b7ea1580ff49a32f9a97f6ed82d69f1074823deb7548e87d7331e0602041017f75cf9e75f79aa3f8a5e289edb86af95d0d9a2ad3f434f3d3c046e89c8f35b4bb7cf4ced0072524a5de7661d164859719624e147195237f26039
+B = -984b2883f46970ec19ac99a031c104f669a8894a88a980594bddba1b4c40856298b892780bb92131fcbca38aaf6be2c24e965e24e70900e00ef837196ba609542a2898d97f41035099fda3d118e1840b77f1f7e77725fd932caf71b7438283b7ba5f5937099bbe016303abf33297375d68b8649eea7546f5c2ca3d2be6b2c42d
+GCD = 1
+
+A = -d1562afbb22aa35e4a1e12eef7de39635c6d10f92572cf3a4eb9527eb76323d041ddf58cc22d8ba29a02fba0ca1ff099718699abd6dc66adafa2f3db0ebf337c18ea75a433a4a7be9e318ad76f31608e7d22a5d1b9fad122f067601c89b2bc03a671694b6f8c12cf475f2372ed4bc90d696fb4dae54279d8442239234aea7e46
+B = c51ef6dba8a9c5a036251a9ed6408120e544b8a2c9e360891d85099ef0cddee4eae91b0935de6cb08e04260ef9dc673830dd8c49dfc59d734b171f83579506c884ca5f167cdf57764c4df1d10508b30cc027682159ad772691ec1c39c586b557aca2e0e766943fdb7b7ca75bf6d0327c1ddd03a380c04ec3c12f80ca55bc7752
+GCD = 2
+
+A = -d376809df7e77b76db511fa04ff9b418d32ea16cca0f27b89cee5c63d8960ff1920dd69b9b6ebd76f7eaf1e8b7e2abdc81f5ac5cc7bcb7955ca33298f0e49aa68c639150e998136410bd3470195f478d14830000a7acf81ae15d162bf7106782843ceacce675ba3a62441e39722305b396b29c030b3e9db6ed15bcee45fee72
+B = 4f4d97e3936b1845c2fd67135658083a89a214ff9f7d0cc0e46e6faf2ad832de0a069f80ccb4969a930780704b72cd3ad375331438ffa55228597e12849f3f857430e078ead5fa023a77dea27fa776f2b8bb51c717ff9dafbe150accbbbb8ea7ef91110b930e078b16d857abb3d6a1cea3c29b761059006592d3ff2a2200f7ab
+GCD = 1
+
+A = 491b8c302ea139cf13c1232f3bd8f952f85c2520da2d601177945909bb8bccd950304ba655cccf2db1e196822c0aeae5adcb4e71680f34f5914faab4480a2816b6630d7e7dfe263011e5b6c7c0e6a7f859e0c03a57714cd00a2671897aa7da1cbc7ad295cc1c0f94bd96124e078b59dfa1e38fd19384f20f639eab818e66244d
+B = 2b30e10ff02d9464c7813af10d74112108bf320802fd2ebd48aaeca72d9d8554d92dc6a9409b0d645f3c61d1dd07a1b3a5da63a7c24121a3a1c8be82a3d024d86c9e2e72a252b4cb2b4309a316c50d97466498f458b62f652c9aea1d6478e068e66f7e2f7aa9cedec4e715ba636c2a082346288632eaaaf0e165d7e8e1084fb0
+GCD = 1
+
+A = 7a1f9eeac0d5a1e063cf102defc67644835003a509ecf4431388d299155e5d16f2654d2c6102f2774d35eb0f6d50e53ed37e57cb4634abbdaebfcfe5f66d65b8579e5cc5c72e1e2d1cbeee8f3db419299ac529a55f8eb94575ce1ec8a248a3d72c0e0c7d311ded04f3fabab61e421638323e79ca6ef5e0cee57e9f32581bb4cd
+B = -c44864128b6cf55e3da20fd5363f3f7019fe0e0eabd99b892df01bd185ecb841c7898bdb9b6bc7002e36fbf4ba05235c76f8eddf49bd98fb06a80c4e4bf47f7165226312641f614c15d52fe72c11193f3dd9353976a49563362ef7595b8e4eb048f2f64436e007d3f1f80cc95b56fd731876b9034cb9c30c95a4dc572c7a5919
+GCD = 1
+
+A = 7aa4b293d7b884c068f99a5e71d4a53c7bb9a7aae198655602a54280abdfc355ceb625769ff94911fffc76679b1970afc97453d9147309f9887f690b799fc41980b984408cc30c34a53d193fbca5d5fd1a78ab292195260c1c719afe66473c7d8242650bb43b3f21e8d0f6d57eacbc63af19968b7614293e01ae2348c4d767c6
+B = -bfe3405e6845b04ecd7503e3a3041a6b881125de8f5142e3a71f459a471ad5f4e7c5e12c8b58e3f9691ade00013f050a3d094c35a121d7af383c700a8c115201b1f49fd606059867372e610fdfdace08bfa195c38646150a1b1f71e72f4a0a84f0be95185d8f1c2a777bde902f474566ee87393a1d73ae452363af398ca6d0ac
+GCD = 5e
+
+A = 154b0d59c72dc6f70b690c088233ac0e3d93e9c474a722675c2a04d07050c778e0850c6083a6abc9e1b1579a65fdd2a254365bb9ed9685d6b0dff07b792bc04ad35a12c577c41f18a46a446c8f91d0d689ab668f5f228bb3f7f52c9d63221d30b03c4d02d10d63dadbbb10b5bced629f88ebb40dd28ae4961894963bc0152bd
+B = -3c885a2244ee49e198d3b751900102f0cbdcb35b0d4a62183443a54929c30a5629954a8ade9f4947c3db81bd6e2b7fe84fd159b41f5315191c1061e9463d2d4cd49dfe343b6103564df3e0e09d74722f3b6bfbd5fc556ec61ffe3fc3b4c5b0a2c1ae6fbe2c070cd9513b78eb025e14e71405e0c616d4c9f30c6c9e8caf8e3559
+GCD = 1
+
+A = aedc3dae0bfe44496648449693b32d9e1288864da804f2755b9baf23a35790292f38120b4ab400919e2527cdecb2a0782e8f2abb2c6f167345b61b9bf961b1d4efa29879c1e949dbb698cd757e1eec9d1b8d2f68a3d52712ca528146dc2efbc303ab71bbea8d668e496b13d80f9c97b7b7aa0fcc7c3bb5fbe49fb3ec12ad52d4
+B = -5dce0a5263492badb406a685554f21822da52f6e6ed6c308c95ab33633fc510a61ca25c34488fc5cadbcfdad10ce75fda83571a8a8d18cc8f88d5fca59925c9bbad78d7535c60efed3b501a7f09e64d75cb2471857b11a430d914d9331e0255e7a1e42f167a4917f94dd5dd23f79ee326080c53d4019900b0b4a811aa45bdf12
+GCD = 2
+
+A = -53201d3cb5116e1ed891a6a51814371a5e6598af0e8638ca58f3b84b39256b3c72130c6d40b0a7612907522fa43c901cf074212cc05ba2024ba55e8993e2cb565dc26b211300cfb3d2bb4df9ab6746def130bb59e3f60323cfb693657f38ff99c7840694ffc292801c921e7670ca3e221fd727677e14a23f59039243ce11b699
+B = -784fdb52ff6f2562892286cfa38e6d27f975e64d68b1f27d7f4b911d89f41d9605cd33bd3e14b12dab59db6f36e700f8b811c5032bd6e1f48cfefd3e527651145c35eb3cb61c6400a943c44cdabad5affadaff9d8bd5b6f1fdcbc0cfd489ab95e63e212d92245421227c0b97bae9c8def6724dbf80021c1be5fda067cce5e818
+GCD = 1
+
+A = 522384feecfa9a7ed6432f8f0c968f7cb4b70dcd64ac92079a676182e1670dd7b5cda1d78b52f0d68fb8eff7a7974a24b6ac2f141456d94607f71366d671d549ad7b22e476c11c32825967d58b149e4fb0d6ef3395062a7006814f6f502f606a714a60ea2a68549b45aa7a2b489479e7234975eb8aa4832b1a5c7ba1eb45e0b4
+B = -66f473cf8daffc708dd2d607aad4302faed9e869c65b32c24538c8ce68ed2ef3e8dbe0113ff9b75a1b94450535b3c38f394dcf6026c7401f9ee5d5d661396ade9d26ab389428d7df8382ba80d79ffc04554419dae5b29a72cc6ad8019b45aa0f239078f4ee8e40087859182538f4808cf90856f5f3dd5f7667f35595ca7cb492
+GCD = a
+
+A = -9f3a8d7f4c5ca5099be8aeb27ac88bc84a7c54953503db48fb22682097d87effb30d7ab99d20a774f1f56587ea21aaee6b18981027a406adaa2e9044151126545d20d3a676bfe4267d0a0cd76f9abbd18143580db1624febb96458de255c519c817898f53062fd9315bbb0104206b0f3c3664468232984cfef31dbe7b4d92183
+B = d5079ef5b65d765fae1f1494f91bdbc16f746f81b5489d6ba9e90442d1ce4ded8ed3543a2a74b2f96c6c24e343157274809087cc9c09d49f1d40788bd00bf2361fcaa2de41895a4de9da3953983ad9d0fe4c66599ff66543044bca600305a50f199f232e8a7dcb461404bf3eb0793dad42d7d4475ff253257ad4460a8d9fd641
+GCD = 1
+
+A = -c29022251da8ea9d1797120a448e8f5c506f7a666153d6f2dd57936ff0d68cb3747b5f9788dccf406e0ca34f6468d78c24506503004d34f297017cd45ed782707ffce61f90a97779b1feaa0b4b527157e8de4557372998183fbc4d49e2d3cc1f33731c8b17a4248073f107fc152d471d96c6430cba0b939ad0a3b2017fef8f95
+B = 167a877ca2c4ecafa18fe4179bb71ef26ca1b50fc2bbf5ed0384e1415c9d7d75ac25d142111e51e3b1496ee00fa916d382304cd525afce6cfd419af212999d761b12846a749476a8c5e7d3a3acb7daa77ec7e4c33e08235e091f6447bf476b2438bbe3f6627089eeb524e5854620e9a3d52f20a6264de93dcfb75ff42e96dc7a
+GCD = 1
+
+A = -f1b01a508c7a5e1b83cb8c7d9ba74419711dfe32b252f284b83daf391a7560cc9006d35a2549cfc9e4cff464d8d9bea34e9a2879a67435932503a8f37f563074d00afa79071cec2dbc85bd9f2e5cbbdd42c3f2e8ef85312368b46b78329d27649aaf15e73aa2fd7ede847b8d7c4ed7033073a7867d025e1cb92b1f466e1d14c1
+B = -87d7d498ef57cc24e0032c3d05de96f3456cc5a1865128edef73a5578259b564f141edf89513ac601dd93a6c79b7d59c2ecba11f2f81f34d954b6fa0ca81e25ef6ae4b03879bedce03642d4f34bbad67837a997200feb3a37a786cfdacc946dcd8a5d49e7c02284f2ce1904313a54654289f9be672b301b8dbdedc6ba6af1a4f
+GCD = 1
+
+A = 48a2ca1d093788100b1ccfd7e2efd28a3b4ca2fc68a9803074ca2fde090c16f88cfcf8d21fc0a0b5d967a28c57616717f855e104799ad1f9cce980f6ee5746fabe7bc3cdb216dc9eb5bb809942159592e2da4530b26b1a48676945a9eaf75da4ceb677ddf7d2d9c0d4f40fcedb5c14d84c06bee4630aa608cbe7bc68e95d7bac
+B = 6fdebfbf71eea092db63cb3dd013b28a7face1169d6fcbb53d94f185fbc01502435e648a1115d019af6ab9fa0f9d754eb04ef4f47b827ef21cfbf0ed55ad367e340786146b81428a16f27734f8a2439e21d39f8e9fdf28b27e49a5877e26a55ec6762cfd9bf0c82fb1dc95173db2e9f8a5138de70d79304d6c9fdb811567ef43
+GCD = 1
+
+A = db659d5c87330bfdfce7cda7e84180787c096ac2adac3f16b8658a1aa1631a5536e96c82038a998fd5d92030c4a7cb4ee65e401461299e9812053888d34c9a1e5faf73bd3dc4e8e92cc818e5a72f29e2f645792a471a480ee644ff5b53d1735137f182b6ce6c13ff3df639261d9285ff700ca12486cdbf8fb1c82d175a0a6c6f
+B = -28d58f1ec6190366035cef8a48338f59591deaa7c15c2ac1f1c95ba0f6070b171a1e7ff0f492c503236cf1458bc47fd5575356141e432ad98c7babb5f9c303a585d78aa6b3a995748178906d7ac92ce52f438e01e2643ad5d1079fa80aad66d0a0f912986241390eb341338d3b39adddf4ff69c8988b431262fcae446171d107
+GCD = 1
+
+A = -72e471a443703c59a0b501bc06120f32b86835b9ccffbac7bf06de790d407afba8daf6b569429653ed56234d458c73ade9e43eb282d823d371d340871b3d37de1a30351ed86e5370aafb9ec3bd5c94b7500f8158d53f73bd4fcdcd0dd8d3d38cc90217fcad6d25fc4b50f5ccbf00ba50aeb0ef3b2a13de07e32d5c5ddbff9b5d
+B = -b1aa46ddfba7df7e6096081cba0270fcdf329ef99e8c0153410cced7e326944063528a3e82f4471cad80a66ae71ba63feebae5ec3a2747612df4a1bf4ac187da956ac6614d1be45ea290e2bc88a2112354640e2d08fc13630fe19da20af2720a810aa4ea51d48e2beacefbd60992d6209604c4ab87ea99a4496d8ea6df537376
+GCD = 3
+
+A = f40f9eba98f5a840c6d133f98351f9cc2a9993246d8b848fac591143d4d390fb6775f468409bed0addbb8b7bd97b9df07ae6d7912ff263e37cf611694dcc860cde7256dc80313f811116b187d87256d807628aceec86ccc0c4cfcf155818a75e6bc219c9f7261f22fd3fa5b3ec00587d12e5e35eec527640ea2a2f607358edf6
+B = -54db122a02aaf1e8356cc80a4dd8e40f5f25934f9d2385da7867f9582f49ff4a1c0b396b12136e8325a729e55cd444337897bd7e9b7c2328b60892ae879e2a7a102f1d20b6cda684486b1cfaf72ec410add82ffd2aa3c3f647e6a9e3aee957700de2eb99669468bf8b6a13a703785d0f5597760752b1ce1e97b659cadf1282b2
+GCD = 2
+
+A = c2919cc5632e2e2664a81140b59f3f11e0276b73893c359e351755d3b5fbf459078fdc0cdab8aed9799b93965f0624d85e094fca1a1d2042bbb904c4ca6b2e123713320abef0c6802af784d144850e468b04ec2248f438c8eb1cf7e35968aef74c4b7edc191fb4a7bcf33b27cb61e73fd99dd1a31939fddcfe7db0872d891730
+B = -d45c6aea632426bed9beafadcfc2e18fe6efe6a7c6a70b37f2812ecea354d70e8f3552c5fb7ca56e326324265240e59cfe7c595d26167c3dbcc7ed1fd6e5fbabe93ea5ded35a63a61ee962698e5798e28922dca9b252f62800c842915677a2a56989fe8c23986b2182b7d7aa09b13e9504232bd460e6a30207e44323301305ea
+GCD = 2
+
+A = 288e3ba8025c171a58e1baa1242057e7e40ea2493b5a191db8009dfc9f049b1fc8ca29cc65910d8ce62ae374c4af805e539f65449c89f6b2b682a2d33143941b96b25b21f638ea0d9d95caa534311faededfbdaf71eb65f1744314c41b6e44e697a3d33637ce8077ca382e89137d1da88b395167c11c2e3059ecf2f8eae0b128
+B = ffa3a37f0a81d560285c2cf391189ce07d3ae622e5d46d624bef6e218f14455fa51d796014f933cbd302b62c08b8e4b6908c14e8bea475fd77ff9e91a4d721617a8a9267885326239887275350e41abf437e95f5c59f567ba38cedc6970245d1bf2202e27e61a28859dba4f75796f74c07ccd55d9a0f847bbf28ff3b6985d963
+GCD = 27
+
+A = 7ef5b5abbc4d37656e1361be70d2d377733105e8468e52adce96597f449b0766d08996da0b94cab6fbb319ff0292d2f057681337ae4ba8e2288c4d99f1fd3dcc4c87a620d1706647243858f822e7628c8ee6fed2d74fac90c11aab7450645e787520473bbfa4325851c811217ba544b776984bb648deaa97b3f616ff44be7f93
+B = 5c632ecffdab62d2222c0eee1a8b294a5a2113335107422839ce141ff768529424ba7dc7a6f7d5d585a21c2a66af43a38b2e92f924b0b00de00a421fe9a852e06ebcf05b42b5871729404aa70134efb32c637d58593eef07dfd5ffa3bdd3f845b65c7226799b0f8a57cc980e213c5fe3ae50e4335607084288ef0dff127d0029
+GCD = 1
+
+A = 140db1546f0baac73208142e1dc6ecba8f85d13e46cfae751a39ff618cb51d359f84639b16157b649abbf060b29d50fa86de5929208bec0c53023bf508389437b46ac304315051b27e65a6e04cdec736392eebccd8fce1cb064206704c1f75351df4f4c9950ba8e5f1bdf9eeea353baee1a5328d992af90692b4f51b0e174227
+B = 2f89690ebfb9ff780b85352071f9b91ff03af4915382cebd1e276700b500210d94c92979fdcf6c31c6499176149dac85422656cc5b8ef675c6ea9521f9f9a0b4278c785f7bb1080530165e660070ee6b7277fd81133a01d1e74382ff9df98e2d93ab653f4f3403734f468ca0c92fe26e0a420dcd7201c51b18a2676474dc11a4
+GCD = 1
+
+A = 84084adb6cf02639893aaab4f35c700748396a18d3b112e04aac9e1aa9599de74bc67941dfc4163ea38d5555a6d4f64267db92cd8a4d9e7eaecd26997ca3ba4f8a1fe01ead6a4ff479b73cdf2c3f737020b77ed78df10173fab4c812aed68b8bcc53c56f90bf7bf73961f78a1bd7f756eefee6f4155a6354165ba721152ea72a
+B = -7c46a32ab5df788177f4eb44595339c1137d99d953cf6fed96c0236eb132ae35e3c5443247732f3b953a1ef84eb2d2765cfe31138635bd5169c46a0e3ca2e3ed58f8c82918cf1559e042ffcbe0511d64d4f4eccbab15f69309e88d34469dabdada53fafe0b8b93954ad540e03a7d30e770cd4895c8f6d465edec4204c749267f
+GCD = 1
+
+A = a981fd251483fc2af4fb7af6ab2dffb689485c04d8e129593029a93b215f5ca4766e8fffc7c09e61a07551bfba9c9df8a664f97aa8bdfadc834c4efd27a05109266283f10f6aef075be86cf11c2bc8d4704514f335ea47a2a1bb1704cddd94077796264e56c77004af7d700d58f8d2ea0f9279cb1a25d73819260477cf4ae567
+B = -6ae7fa3301fe3321d330c1f7090be90eb361c4c0a134a5b6f19cff350d7bb0e48a237d42b34a667e947935c329e49c37f44dd7a2e41a1476c0c49f8b71fb4412ccc64707efe1d4a4198215ed68cbb8936a08c11d33b503695a070eb67cff485e0c86358b417fccdd8f93be49cfef57b07667aa7b7ddc1b9d4c52798d5c8f9bc8
+GCD = 1
+
+A = -b631f8a7641b5d41b3eb612f279c14202b99a4207b3af5686de3a3b3a06af565dc40f175e7fa55370e450eee70664ddd161e72647986a61f2403fd63e28a6916f59f2ca89d2e7f547a59c41663419f0d4f47c3416084ebc55b0e32a7d9946d596829905535ed5ea96ddff540559e403e89070f76ded127a63356a887908970f
+B = 40d83735d70fc67b949d6c9011b424b8610c101e14b6c14e3dcc218cef3ed6b9a6937455df733cf28395a6bbd57b58f1bd6b644d7289c406c02d88a5c90336df76dcdb3915129435a295f8baca607b2d95be6f453cf33f27e54e904fa8efb468d3d3bfe42d205f4d215141bd7a667a081dab56b6bf9ac58a37384960f3d00143
+GCD = 1
+
+A = c283bc231037e4382a9cc3dea35145a0a27d81c58d93ebddf41a99a91593e502b85f309c1abe08400fcc242c92a783492d616c9769015770de653108562f7969b164e269112f93ee1eaad4914415790b64b74c4dc3a1c07d183aa9a868de3c8d2f49494e31c5ae8c849ee15786ddc265347cfff8b23b0cc15161f1a91066b4cf
+B = 1de4a88e80558a547a0883feecead664c4631b1f59d19b4fe1aa5e61376730dea4cf628ac5347c69978be6464e7916af4008824544a06492fce4356061d654a2f730f9d3cdda8ce520be84c9c5e45be0a59507be7d7fda93ee14b343d8db2be812156c3aba8adfabfb3b002ceff06710c662e0d3c962294fcad438977bf3a43c
+GCD = 3
+
+A = 839382ff295caf55e6490afe233722d56e9d7658d5fb649723d1e8093bb40941a452e1f6915b808af12abd65f4417184a7bc28dbdbb43bdb87a6b1d79907cebb3f2e88e408ce8ef7f4847d09c5fbf1a99e3d8c36fda1fc2245febd99d9a345f6b547a42d0cc99a5eabf97e4f5276407e990189e671d16f03fa06f75992136f23
+B = 93c2e1c35b426b9a55eb9eaa6d0a519bbb59f8ebca8ac50c0ab37f5d2d56d942ea3866100b8ddaf150601685f9cb178ca7a1e4a6411f92af4065ca58fca5c35e8b1c36b223b874ea3d3360d2d7540a5583c6d7e3da24b3aa24b3c790841b29ef663170e4492fdbb286f58a6173eb4a8d7bbc72ef887d89b36562443b4f2e169e
+GCD = 1
+
+A = -4a3f82c72925fb805a1dd02a4831fcdb7d0bf1cb0b90f1a97053076b64aafaf9cec3df00f335e25fcbee9f80a80f6ab105db6c80c6b4c9136388c68d20847cf31e402c94946dbf8ef8569917cb7c5eba390cc3e8230398a3386f9c55ce924a108a1d7d42451b1d15268c6241601a58bcc5763d909ded7de1ca6992157bb3e6bf
+B = -ce803dd8eaa66bea9122e4886d11e866517fbe2ddbbf4fcea573403b88764dccbc01de1298bab469bd87deaccf4749c93a5ccda073bfeac05e8ee23a98e09c2b9db7dec899496dc86538cb58022307f3ba95d2ba497541c36825ec0725bbea9ff2557f912e9207399b2e2a6eb8d380bf32d6f9b1dd78437066279aa619c01b08
+GCD = 3f
+
+A = -daea240e1c50452d78975a729483433127094ffe17c1504d20c2d973409065f2f9b04a4671ccbea0ea1246280dc5bd398fcae5a91b11a3b106cb0b04e8ccd0fb2dfd8a1fd5357dbb71b9475f26288cfaa40fce158e523bdb2ab4392d630afbbdc12b0ccd6a22e2db09c2a77c4fcd4637c3efec7d1cc9929c5e952383a17c2ebc
+B = 6c6e38391d5c794d7e4104516a24ce0f0ba77d13c8ea294f07ad8f61870f40f587496707e1906d7c8f46a8584e5aa82b0bd16b26b01e5b276fd2cca76f5e8c09bfde3b4628d237dc6ee35ef64e1136fb4e6baf3ef46268c3f4ea21ac5e7683f143ae1c7bb333a7c9e3ec121fdfca6ec8f22e6cfd64d9f68509abc58aded834c5
+GCD = 1
+
+A = 21bbda00bd3ffb167fe34e01735d432378a6dd2f896d936e1182e0882f17bccb3b3d964272d2c64c2a7e886fa92413e6c01ecf84db9f29c435f2132b9f0c49587dbe985b18269cebfd72a785c165777e293ad7b32f614dac592e0603c531619313729dcfce5dc210e3250b8bf4646b447741c10f1dd9e495f89c55a6a5c11bdb
+B = e303980479317084c56d9bd5a6865b31ab3d1e7675014af88823ca388c915e00046d30f54774f0cd117998d2659de9b04ef7e78898b885012dbd3bd1fbb6f0a608aa47ed8b1328ee3c02feaac84adab461329945b062ec02e690b460ca3b5a0b5063be7a7a0a6634050cbae49091bca19fa229553f412d088c6c1a1ef059bcb8
+GCD = 1
+
+A = d35485a01ae17625e5cfdc384f937e4ebf39be59d8143a1d0131bfda73737837d4f59010e72521e9401ea19409d76bb2f0b1881cbfdd515d9d4c1975cfecaa0e259958d5abd2b3237e7da9a76aefd8b4c21bd8349a4d3a1c8a212c980f7984b2b281195f2df08207b99652ab05263e5ef85eb126492918baf4c4d077461ca1e5
+B = -feb136c65beff472a3c83703fdd3959e4c868e63152ae6b1b708e6303e9c0d81b6bba5c9a18b43635161b9cedd55e558069aad4d31e5aeac224ec34f23cca9830f0000e9239eac525b33d00b8c8a7aa90b391a618ecdf104acb30d09ce42cd3836708b05d1f6ddc3f741fbfd7bea55e504ca573bf94af73008cf7f916b97aa5a
+GCD = 1
+
+A = e6234aee21ea358ed4cc8fe9a1fda68deee6bb7762fa4bf90da04aa9e3c03390e5dd60a5932a3a7e6ad93bf9a6d0f0d79eed7f0cd6a8a714f11a82699aba3e11f953f81dbc592b0a2d2a7de70aa074f592d9b40918c37f02fdb9e7c01e641137bdebb7b3d784a9399ba2c7701de09068e4aeaffa173db361a5e2d573bcacc53f
+B = fc8962f424855af7e0c22c9c424fb6c2afa4c35be6d4051f4b9cb3d762d5324bf318fb7ded05755302af37ac5e6aef2184d8178b53b3bb1ba4f0a54f704ea65cdd34550e20e7cc9acafba64c68667e755e6944bb2a01392125f80df14c2fa6a911f3acf4d9b3737312136f2da0eed34109db21c9dea3cf84c56101c4e7ed2e51
+GCD = 1
+
+A = -f3d77b8eb4c24a2e28668be112ec8bd8ac8ccb71f324b87ffe5e96f6e13881daed223d44b27adc674ad2f1ce83b09889a8bde32ca4d1c140c7c2e25bf824c5dbfc50458d07b0a7616e1b97c8dd7de5f30e0326352a5a81a564e220ac9f8980c874a223a624c171a683005bf98a7d282e78076a13a47ddb3ae09cd3108b8b946c
+B = -89d73a5830fb043739438502b5c5b0b4b31391d13e3e8d926479045d3b55e778e698aa2a593d9936dcdbe3c8213c15b97e34d6fdfcb1bcc42880caa9b4e377438295cb3ffd071f81fb71b13ecaa21da10b04fb0da65b79c363bfcda7e1fd8c3a13a586b8d5a6375dae6c21b5abc433be621cc3d3b462127ac4153032a84be21a
+GCD = 2
+
+A = -60
+B = 3c
+GCD = c
+
+A = 186
+B = d2
+GCD = 1e
+
+A = -113
+B = -1b8
+GCD = 37
+
+A = -b60
+B = 116b
+GCD = 5b
+
+A = 1fea
+B = -ed8
+GCD = be
+
+A = 1b5c1
+B = -148c5
+GCD = 1d1
+
+A = -5a426
+B = -2846a
+GCD = 34e
+
+A = 63800
+B = -94000
+GCD = 800
+
+A = -4638a8
+B = -23f256
+GCD = d602
+
+A = 355d40
+B = 129f350
+GCD = 47270
+
+A = -5ba081e
+B = -3a89072
+GCD = 383e
+
+A = -2014254
+B = -411d534
+GCD = 7004
+
+A = -4c1bb1c8
+B = 28eb8bf0
+GCD = 9ac8
+
+A = -bcbd0f22
+B = 6b2528ce
+GCD = 1544a
+
+A = 3b3ea5246
+B = 9d812da9
+GCD = 38dd9
+
+A = -d341e4963
+B = 897dff148
+GCD = 4bab5
+
+A = 1be090b9d
+B = 10e7682e15
+GCD = b7695
+
+A = f8f4eec48
+B = c1b223b0ea
+GCD = 18d0d2
+
+A = 38b303e10d9
+B = 37338b5cbd7
+GCD = 22fbd1
+
+A = -239480d6150
+B = c9bbdec2573
+GCD = 151fcd7
+
+A = -8bfae4efec8
+B = -5cb3b447464e
+GCD = c6750a
+
+A = -17ffbeda3360
+B = -172360f2b88a4
+GCD = 631bb84
+
+A = 2db19fdfdde20
+B = 1b45394b87c5e
+GCD = 312181a
+
+A = -4495f0e4e9ffc
+B = 9c2cdbe69719f
+GCD = 722c331
+
+A = -220a630cb9dbe0
+B = -3f6d33017bd27a
+GCD = c3a44e6
+
+A = ebf8369df6c6c0
+B = -5e060007b69270
+GCD = 1f09ab30
+
+A = 7b6f0f808af02c0
+B = -6291d40baef1da4
+GCD = 1b51b9314
+
+A = 10763885f54acdb6
+B = 48ad72124b927b2
+GCD = 446be8ee6
+
+A = 1a1835261881c618
+B = -489ad34b6f17877c
+GCD = 1381450b4
+
+A = 501a8657d00fec90
+B = -7d572fe34f1e3f5c
+GCD = 14b7465ac
+
+A = -31d2defd8438d0934
+B = 169de129d42f92a1f
+GCD = 2f5f228d7
+
+A = -f654ddd0674ac42bd
+B = -102942513fe4ff077e
+GCD = 53754c93b
+
+A = 53e625b6193b469bd0
+B = -25339fdb5a2cb8be10
+GCD = 69dbaf98b0
+
+A = -e2136db2a4f5c3b648
+B = -a1222b022d7a60e600
+GCD = 379cabe8c8
+
+A = 4d46abeebca81ce0b62
+B = 4be4576e8dd4460185a
+GCD = 277218eb16
+
+A = fcee21b2537f1e316f6
+B = 8152473e34dc6bf3672
+GCD = 7548bd41fec2
+
+A = -4b2223e1cb3699148261
+B = -c9d5752eb52f007b89c
+GCD = bb2037c85d
+
+A = 1350d1270c3ebd10c35db
+B = 14fc3fdc42f3dcc7e115a
+GCD = 1ba06e1280b
+
+A = 50692071b5ee8a096ff4d
+B = 3976ba57d4058bc12dd0c
+GCD = 2d5d14ad4e9
+
+A = 6a9884789299c2942f1b0
+B = 719653120e442ae6650ce
+GCD = 47175a451ce
+
+A = 72e211d36a45e2f9f2ddda
+B = -5e1085e7003ac906d3cdf0
+GCD = e7f966f04b6
+
+A = 1c947b448d36d1cfae4982a
+B = -6e964fc229dcf41139328
+GCD = 945fc32cf77e
+
+A = 24fcf278c33bd31b63e3216
+B = -49e65692c65d3aec4f6992e
+GCD = 2e7f54c97526
+
+A = -75119da40f9986224346a33
+B = a091e0ab5ecfe93c620471d
+GCD = 4e41cf47726f
+
+A = 40b89aea1ebd3cb5f027dcb8
+B = 29a45f4952aa17040c3a34a4
+GCD = 94a2a8cd851c
+
+A = -df2b6f9d7344fb8f18557e43
+B = -36500a4df1f6a1ace9f0e740
+GCD = 1af85bd617d03
+
+A = 3cb73133275e0c9d970f56530
+B = 454f08b3716fae1e8c9520e18
+GCD = 188bbab2af6a58
+
+A = 17ed791c30dfb55c98a04aeaa7
+B = 120c7fa76ee6ccdcd5eb13d06d
+GCD = 68df2b6f94dc9
+
+A = 69e936e19455efb26b03dcc7d0
+B = -5dbcc1a5e9aa7cfd3610c7e2a8
+GCD = d74ad9c7f8aa8
+
+A = 5108d073a4f96af8478989b920
+B = 1a457913f0fdb4b6252070728c
+GCD = 38d5d2424767b4
+
+A = -8f8f62c3e3098f55785870b258
+B = 2d7b6adb4a62419e44660f494bc
+GCD = 2a57445ed9455c
+
+A = -14d2bfa499ee9db45515af917f60
+B = 7b439debbb28643d36c8321c20a
+GCD = eb4d745e1ee9ee
+
+A = -2a757de40c76d46f3a0c689106c3
+B = -48afc1e13db995e04640fdff13f5
+GCD = c200aed70b3c8d
+
+A = 75cd38babb6944db9278793c44a
+B = a0a9e468c75bdd679bcb25244896
+GCD = 276932887bf3992
+
+A = 48123cf3d27668329869856ffb16
+B = -2552b4e917da9d397885694d1f896
+GCD = 3ff19116559b08e
+
+A = 63156f7b59e4bb5caff950cbdca90
+B = 1a87e98e99598237725543cdc0fac4
+GCD = 7c1b98b8b161e4c
+
+A = 28c3f0e5155df3134fbc202ec5b440
+B = 218e4d504823961c73a752e98ffa14
+GCD = 82f502a9cb94a54
+
+A = 66018fbea01eae81b9798cd07cbb80
+B = -7c443a8771b5a18a4459f3b043d040
+GCD = 1c40989249566fc0
+
+A = 4a7af2c3f8707c504e065e05b1c80b8
+B = 1ff4e92c21ea284ab39c8d0c3764380
+GCD = c1a41e0f6a1f1b88
+
+A = -b3777346ffc00540b7fc277cdeaa120
+B = -1d142b9475c0bcbf157ddef135c6abd8
+GCD = 16b2a3123710d7ab8
+
+A = -54fab06a4720b0d095889274d51933a9
+B = -35b2fa44d46cf20e24ef74f5159ac44e
+GCD = e96ba48429bf2485
+
+A = -36e79bbc0be929b8790f64ccdb9d264a
+B = -e1b9be6e7590db6381f7084207711d16
+GCD = 130af4bf2b0ab886a
+
+A = -2e4ee39b2813741a619d1269c9a5ab874
+B = -334f44bd14e6828f4164e54532062a504
+GCD = a36da43ee906a05e4
+
+A = e750698347c58a88587054d34630be800
+B = d40de7a34ae8aec3069438d1049d6a708
+GCD = a2582199696ccd858
+
+A = -27392efba0d4a4ebf0f0f9ba498e806c8f
+B = 26debce4c2d6c96ef6431473bd9b4a43ea
+GCD = 1e67036d83e93d60b9
+
+A = -1c4c40c4489f36c958801b7dec347165478
+B = c5a7df972998846db2abf3784bcfe3a805
+GCD = 1ecf5da42030d9927f
+
+A = 677c6a306c395c0f39529e5d795e6546dd0
+B = -66238cd10f0b9c567e205c82dd070fb61f0
+GCD = 7908f4ee6786542fb0
+
+A = -15f3c0bd1182b58d8e243c55a24123d06bbf
+B = 886e66cacb7b1725ac4d3770c247d89489c
+GCD = 781ba4691294ea97cb
+
+A = -109d6075209cb53e8164d876dffe810a12e6
+B = 1a78a4bce1ea471a3585fe50cbb7650b3401
+GCD = caeed23752cb0475b5
+
+A = 1202067d091ffb7f976698f3f89e09cbddab
+B = 1bd41e29f9450ca4d064cb51e67c53e2401fc
+GCD = 1ca9a074c9114076b1d
+
+A = -46df2a3b758f612ab5047193a1de42c43c9d0
+B = -3a50bda4ca03e98fd03437ff2f8a84d73aaaa
+GCD = 32776c19a4c5d038ae6
+
+A = c307929b88217259158cf2c615804dc6955f6
+B = -44cd179064d7f47b0f12ae52b442e863d9a0
+GCD = 55bacb5c916360ac886
+
+A = -28e83c0d17135602e6fe937d754e752f92bc5c
+B = -4364326998617e085b6a2cb2c68f579e939b40
+GCD = 928912429b8741a2dcc
+
+A = ec320e05a24f118bb243855461de4bfac2cc90
+B = 71e9d70cc20bfe0f9789c94f599ed42aa0fc95
+GCD = 1e369b04f74afbd9cef3
+
+A = 1ae8d12f2faa8262bc454562953fcaa651545a8
+B = -431ab0d696d3eb7d2dd209d793c81483dc85b74
+GCD = 298f4bee5487a5e31ff4
+
+A = -6ba78b017a29c99be57177f0db6e69e6adb50cc
+B = -161adb15826f168fd50caedcae729119fa4e43cc
+GCD = 6562700e2471a8791b5c
+
+A = -384bc4f58d6f153c42d794a7008458c51edf9ac
+B = 1ddfd41fc2007340874d1ee3b2e98f5dfd353e8a
+GCD = 85db7d6c787a79e0094c6
+
+A = 28301a390f514d6bede850fa603fd01c5a0b741d
+B = -12a7880f4b21e70689f2ccdc4af6b994692f6116e
+GCD = 13edc8737b0d454d7a881
+
+A = -4afb93a6083083909296418bcd17fe1917c0423b6
+B = -19f5cae77162c6992b48abb66b28af7e1590828e4
+GCD = 3062cf438b1a6020552a6
+
+A = 1b01df399f465678baa23632e6f636e6e9995ae978
+B = -33d7e08cd12c7fb51393f4d6529e6b940ed912ff6
+GCD = 1690d80887db5b78ac5e7e
+
+A = 4e163c74a44bb9366fa1fcbf7f5f3466bf76de0b70
+B = 52ee9fd13a73c74ecea641b8647027c0b70cae3cce
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+
+A = -18da164408d5151d83e04d5a12729011793e21e328e
+B = 1ab7d2be06dcfa6fc13972bd8eea00e374e644e9dc6
+GCD = 1c86138b2c3aaf3456294a
+
+A = 157a8f34bfc93447b2738f99417504e7ae99df675d8
+B = -9e1072f81e35737e956ada541883e55d187bbe700
+GCD = 6cc66684ca87ba0eda4e88
+
+A = -730413d5dd18a82f6c9e24de0fd2bab0b6f9abc4c5c
+B = 10cadbe97cfb99dca72d5626c7b75fad81c2f4113264
+GCD = e89f52db95f88ba356066c
+
+A = 213e3442e52fabc81ec6312cf2b3324eeccc536d92d8
+B = -4476713c86e51a0a1a63c5c70cb8d74bc115e1572677
+GCD = 9bf30eab8f99017adf5957
+
+A = ae87fd02c6b7bb4cdbdacbec9cc0925ff604559ecd40
+B = -74b6a9328dff01501b1160e51c708d27d1731f960ce0
+GCD = de4c9a887083b1c11affd20
+
+A = 24e3a4757c785e98567559d1f444676832c8fb4cf9173
+B = 1ae906ee7a49fcc0239c0d0efdb18161b8cbeb4ff44b6
+GCD = 321e7bdc7bd26256ece00bf
+
+A = bfaceea21b4b3aeef201c24f7243bef3e896f3476da80
+B = 34966d7a58057e875ae4572bdd7459ded927c2c7b8f20
+GCD = c4ba3ab148294a8e6d47620
+
+A = -5bdd783da99a7e245ca551396e093f4c465322e5844757
+B = 59d33cb08a960e4c9a32bb7b8d6b863d5f6d2ce40b8250
+GCD = d3d6a2bc13e9a41307a10bf
+
+A = -36b5be6ff7a5df0f24c3627304d9fef0b8a79097a7c4c8
+B = -f000375b520dde6f4d09bea91d3cdf6d0380c46f2fbe3a
+GCD = 2f2bbaaf28b95e18a84f583a
+
+A = 710afafd13f2ad4303f6063ccaffe6471a0483185434fc4
+B = 306c5f7848de05605aa30e18280b6476a16db89864e8cd8
+GCD = 1afb372ba598ffd1553677ae4
+
+A = -1b9962f376d3d9010d5ab1982723ec281db0de5198afa8c
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+
+A = f46660653502988f52f5c5dd41803f6ea0d84e6ec97e810
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+GCD = 12927f998fd18a0c976da06b0
+
+A = -1544ac242cf18085bde53c7623f058a4be9e74848f0c054e0
+B = 1036957e8f99ca11234ea87465e024542dda2ec01bc0cc840
+GCD = 170e6faaaaee067ee651575a0
+
+A = 48e10040e36d3689f808b56e57d66dc229863eb156629b6c0
+B = -31781aba8dcdba4462d0b0d76cedd86e26891ab3df6d18780
+GCD = fe73ee3df95ed8dbed6cb60c0
+
+A = -f1ffdd2179159d5574a836051465c918aeb443f34f4beab39
+B = 122d6f913dfc171b7c6dd2c66185a07f61d38b9887db1caea4
+GCD = 41e0e56dce7544c8e606562897
+
+A = -2e6ac0b560dc647868c997776eeabded9cfc6333f2b7fc83ac
+B = 146b44ad06770ad42a0f04b47351a388de00ea4cc2a9461fde
+GCD = cb29dcdb03a8e33fff6929152
+
+A = -1390f1c1c2d496fd3776042fb87bbfe8ccd673cc48220e3262a
+B = -15c3dbb1d024854be4db2138ab168116b210760ebcae99d0cdc
+GCD = 16352e1ead35648e7ff73971ca
+
+A = 4abac232eade22e553c6eb4d5b6cc04250215ead1c8af15f1ea
+B = 245d690f3952b8d5773bd304f743fdd4a902bb056f814338e62
+GCD = 29bc533ba87f0017c45933f64a
+
+A = 1cce1905ebd7a1a50d1dba965af29a161964433daef467990210
+B = -c258c1b1429322eccc9e57fdebf2018ec8bcbf937577ab60a0
+GCD = 2264d81ab8eb97b41233ea04eb90
+
+A = 16feda78c59cc9ab1707decd0970dbc3cbb8445f9b076ac87948
+B = 1cac7d0661010679551cb2fdfc23db05303f8660e5036f8a8637
+GCD = c6da69d30eaf504be7f8ea388b
+
+A = -891f9eeb3b5acbc7102cefcf4a94b834f1bb4fcf2e5f47a005b2
+B = 14666b1967cd12b44073ba7fdc2eed10a63e5bf2d36cf9589acf3
+GCD = 1903c267fa38ed6b2df075decdd
+
+A = 48e276e7a4197633d46a896cd1fbd51d85b7ac70ed8fcf277d3bc
+B = -424594d2ffe7d44d425e5cdb97e26b3c48f52f401c224a6f69fb8
+GCD = e8196796f47fdc5b8bae54e286c
+
+A = -4ce149df26eded2015965c0e0277a713a15af9a281e6d24f3ebf1
+B = fee88bb8c116fa6fce83c086835e399123a9624e9fdb27f93e902
+GCD = 5aa90e8c1be239ad94ed9ffaffd
+
+A = 446a6dd93c81da9bde1a40f88f75227bd0f4d832c0c75c0f0827d5
+B = 3a0a6788e01a5cb9050d7b099db23e540705a8d0b3cf7efce39def
+GCD = 98dd9967174f20a3eaceb608419
+
+A = -1c573c54bbd96a6daeca8ad08f7c1d5ddc9cfd203c3a5cd7d887eae
+B = -e78d1e0c739f5c239fc8c05ccced17235899c6ca080fe619ab304a
+GCD = 1f413e9056074460a4c4b1d109aa
+
+A = -18a1943a102954088a90b0350b68db66564157440bea1b8e4562266
+B = -3b3de5b0847bbfdd3d433b43a260d1fc890d43b50f30ef95fbc24b3
+GCD = 33449e94e1eaf2b7ba235cad97cd
+
+A = 18a54ff0aad2453a79afd79eeaed1ac3178bd4cd1ac9c5fd8774ce60
+B = 8dc9232a0a1729f1e7ddaea824de9fcad4c0065e9eba1469e55e5b0
+GCD = 6db23e322d6f807c9ac8aeaee550
+
+A = 6aa7a289de427771d237fe84355807aeedc56da586108e5c0efa117a
+B = -34aa6adcf13c278992a2496747d95ebd7fb0978fe70a19879a7f8f3a
+GCD = fa59ae7576a407f0cc6c90970d2e
+
+A = 14971ed18ba7d1a94dff70cac54f50f0eb1d0b9962ccf8f95ac9124f0
+B = 124ca1338251f6312bb87a181c84cac83e7db24082cc1002b5ad5a439
+GCD = 198d1e2e86808e583f5e08701610d
+
+A = -26b9cca877235946022af4669b526ec373951e3447eb7d5ace555545d
+B = -3428e2f4c4751a204c1c0fcc90ec2cd6f20404b7117f08e12ef7ef814
+GCD = 2778771a4b25f9c0a2a89634755bb
+
+A = d5e8c7732d8d5ce5b28ae4db0476bedf5d0ef5951fcfe270bbc487c86
+B = e09863c4b9a04887c245137387357fb6570bb112eec5f19c7c4df912a
+GCD = 50225f1ebf464370403cd65778c306
+
+A = 420e509b0f8d2c7fe49c4a7bf1e570fecd9dfa073fc8cd37f395a06cee
+B = 5b481956824e7828a5a0e124dc5b77e1e08cdb563b906601c15205978b
+GCD = dea45f684be34846c97e948807b71
+
+A = -13d0805f87ac3040a011d5587e2dcc7deaef888e712305e103e3c426f82
+B = -1d06c9c7086cc2a5046caf9037eefdb11feec095a3de1d4de9adba7a8b9
+GCD = 1d18a5461f9bf6bd399d50f98cc4e9
+
+A = 43705b3956e56bbdd83b60f5fcf9655efc3c7b675ba2728bb4db1177794
+B = -1637ee6f96e79ede1ab97fd6e7943f424c0f340a58f7ebb11fb6e1dd13c
+GCD = 257eb70891655f00a12a58652f8ff4
+
+A = -1adfea565faf9f612859be5d997c38448e931da3643c797fd15875660593
+B = -99e4ebee8cb4dbbc7f2cf9b8db62dfc39e3ffeeb629bb56b79d9658270e
+GCD = 6c7739624ab895497a5c1e15031a89
+
+A = -3bac0f98360e068ea61509b67027db8b5ed9deff3802d3a26b02e1e48e48
+B = 63af576de3b0f715fc8b9e4897a46d68b7d24c01adf9ca5cdbcb3f00fd0a
+GCD = d5346e1979317cdc43ed40ff2f0a46
+
+A = -4e2912454e3b9ef8f5f70e64e255c7b5d45514dd0261bfc1d3e9d6e198ff
+B = -8b2ef5d1398a63fc22b44d1c9959364146787885909d9ae65c4548749f69
+GCD = 1fbeee7e7e619279f5c7c485d43207f
+
+A = 29301d123239d4cb4a6f849e58493b20bb1e46bac07e44451399eff17ba70
+B = -31eea4ea038d528b2d8793ec97a9c426e41c5dbb6018b0c09be2e6f7b36b0
+GCD = 5ab3487d2e00b2ebb9be6ed84aa20df0
+
+A = 46afaa677429aa21f301d151b225f9389c68ee4a260890cfa8a872b72b5fe
+B = 1679adde5a60aa24bda71376a0354579620f3a13fd194fece23bacb7a4c9b6
+GCD = 5a18519583b27fb2abc7a4d10750626
+
+A = 2fb260963b23665dfba0dd8fb0b7f5f6629eef7c960e75721ff0661a89a002
+B = 3b8c650ebca9fc99009d57a49ff98088550446f566be7377308783dd6d546
+GCD = e385d3223b5fc1ffa244a538dc3108e
+
+A = -f1bd28c7b6f8134cf6443c193ff73d983fe3a18c5f5ce58deb428f5c6c7498
+B = 542937a86d14d83bcbd62930624070dce93230b769f074776415cb384909e8
+GCD = 3c2d81daa41d0a58c513d44fee26b128
+
+A = -59bcb00e6f32df3373988e268d466e06b9827cc455d5506f6143524de2bea1
+B = -22464a4299c48e4ea336b0ce2828b4f48ffe97d7cb7c0a9d9e282bcda8e6736
+GCD = 33d7d0c13d19d12c2450e8d86af98c45
+
+A = -51b06e3e977ed94e2184d3899d383f9b6d2c7e8eb3a625034a814a72d0df619
+B = -ec842ec08aefd32f2c1f797c86d40f41fb9483e534f1cc37fb0834ab4ee5442
+GCD = 7d914fa6356c08855ae1f2b64f50fde5
+
+A = 2fda06466cd332c4cfdfd159ecdbb32fe63a508d28c7986e8db333d8f3e1e664
+B = 2e4d6e4dc2e60ad07ea26db98085a14c839c24746879c90ed8d8cf66ab5468f9
+GCD = 4a0b745733b83cdc9a94f6b06e589f2e5
+
+A = -2255ca5fbd3ccd756513e3d1885af3b06d22a4e7abb72fd876103b4ccfc72216
+B = 681d91c5c012a9372c6991edf3003d6cf8bb0e0608b9349672c80f93a5317429
+GCD = 307368f4350085b9d3572869a6567e9e5
+
+A = 503def4d2eecf1e6f851a8ddc9380b3cc3ac66e46667ee0c3f8687abb3134ead8
+B = 48a92023acdac18324e432c25f50c5c619da709cb5b10412ee3f3265897115a50
+GCD = d1f599335eebb84aa19a2e6e4a5c8ce28
+
+A = -160e04e27276bbe20fcacee78cf1942e064120b3c0d44f902b2139249ef93aedc7
+B = -10e34b4a835b74e3497c55c06956e41074639168738a23e5491f24df2ec0d1c141
+GCD = 14e2fa17ac3b29e0ad84222283f0697ed1
+
+A = 4a3c79f70f46d68c8442a62a487e0fa54dd25d16cf03b907a48c5b352f0771664f
+B = -5e55c73e34fcd075825263681b9037414ec73f9cb9862417acf76b474c8b77094c
+GCD = c7866e19d6ac563848052fd2b902412f1
+
+A = 122e6328908f0fc79e37fb8eefdf29d6a53d3f853bc2262e93be1f8a7f01fd5afe
+B = 6f091073889e4b8db7224298a0f16f69fc086b02c6e99fc80d09d47112f06c9c85
+GCD = 10548afed577b8440b579204978d16491f
+
+A = -4c0aa42cf6b8447cc4912197098379387c8c01a9d2b5c1ddff3b69738d97956daf2
+B = 1102683a5e494615ff1e8f9d2be7469e87fdff0761ed1eccf3129047fccb86b721
+GCD = 2d46776613c8d811b81e3cea6430d84e87
+
+A = 1e243b2ca937fef9c4eefa3afdd98ba5a22f8b77f62aaee7c725370f1d19e5f7c500
+B = -73efe730ab094b786236b87d169a536630eb59bf6685ba70b969233a7a69810cd00
+GCD = f6edfe5cdfca81f7569196ef35f8238100
+
+A = 4df54eaf7061d5d63dd303a63e1664c93f9fe246d6dea6b3e6f099e2a49974342c50
+B = eb83a62a0bb71d53565ef81cc81186895d48487d386d77afcf19e39dec64044e701
+GCD = ae8facfe0c968dba0ccf354b840110229b
+
+A = 4ae250b0b705bb71a0fb080b2e652dd9499a3d426732d9a8c291ee504b5639d28214
+B = 734fac7be4899726b5056f4b5f20a91b872b259c61e8a04ef5f6d477c6fe4da1346
+GCD = 11359b62c6e2f9657943b13110059e15caea
+
+A = 3196454581c2fbd2fc92724caccb8d6e7503817467f190b337e0dfb1f5f8d48f7e044
+B = 1ee50fc646b544d97ac06fdd775bdeb077d73a205a5b84eb9ef05f9ca2558eb315ae1
+GCD = 8610ab99094112e4e3e860a046c0eae1fa1
+
+A = 18a43021634ee11eb2ed2d4382850eed6d1088fe057b9315d669454778b976bdbbb2e3
+B = -18d4cd58b158b026dd5c7ba2d9fc88655cf2eb8ad12f140b8718841551f6e0c586cea3
+GCD = 69ca61df8b4e86b35e52d6a13bb0a070e73
+
+A = -5a86aea7a57d8832b6c6b7ef935842e12bce7fb730ed253d184859e44e9bd45cd4fee4
+B = -355c8bbe93e163f83152acecce650f9f3941ce888cc0f1d9926cadd3a339fcb4407a84
+GCD = c91b3fde4f08ca8a4173728af195a3b1e7c
+
+A = -107e5de99404463e8ad8fcb8af83c737d1d26d582f01390e3ab1c1a865970d8228b6488
+B = -18c644d5dcb4d10a8e04046ed1610d8fd4de08735a2932094c7aa9ba116e82ba2928e76
+GCD = 3e7d3538deaf5f1a687a8f73ea8b493f58e6
+
+A = -5fe7a36623304438423cc7ccdc85467954f0374fcbe69cc798d4106828e50799ce38ae6
+B = ba95d75a5e8656f500cf09303b4beb88e18d7698a0a81e0faf13525c2902fc959af942
+GCD = 36c38306d6019c1e9676f65080ac9480e782
+
+A = -33971ed94e6443381734a8ed2a0a848ddd60aa23f0681736f91ef62fe8347481a804492
+B = -592ef66e68f6dc5ef53ebb6d647d578a67a383414c7d140bfe091199e93e537c8cfef07
+GCD = 5cd86af3e50f365969224beb8c6dfa2002c3
+
+A = 36105fd008a760c86158ff4b53e6d61876c6c2fc6e139ffb266f7f4ad980e894394fd9c2
+B = 3b9332665a89fb140bf4149f688bf8a27f724e6021c6968231bccf6292d0bf5cf3b1fa
+GCD = a081dc6cdacc79a42514a125234dfc424674e
+
+A = 13f23783adfc6c3813ad227be1423d07b631b5f663ee340cd6567aef95dd870c6c3f0254
+B = -ba37e4b55cd2de86b030c670966a4138982c6dac29d0b41d47fd2701798cf3a1b716357e
+GCD = 193c1005980042f1f075f725ae2093fe0c862
+
+A = 3adf066a954791b5069d393ffb546082eb40eee2b077d9e5cea391bde6aa17225d04038e5
+B = 5ef7078626d97edbbfc4f91a85f99e663aa5d8256c898de89f887e1bb37339200728645
+GCD = 20b592800a2b9e5e4d003e1649c798d29f92f
+
+A = -1915bc6156dbfce1a7f245ecadb10afd6613422f178ff692f85b7c9da81451e0439ff75d18
+B = 1503b6c6ba1a180a4d0e17e2916c4ae422422ed21a08220eeadfb4cee618c29037d58ea5a8
+GCD = 139958287b6aa1db5c226322ed12b6d3dacf78
+
+A = -5959fff3629304a16218ab255c20e02bb03f1e53eb1b320b7a572e02833bb485231c545f73
+B = -300b04f5ceccdbe15c9f2ac6512833e163eeacb2fede463bde4e8bd2f8b4d3d88e2b6ee31a
+GCD = cacbba40d3c6186745fd977a496b8e4cd2a91
+
+A = -1256037784047e3c7dd9aa9456359d74a0c99580fd89bd34675876acd3fbfd4ce870626131e
+B = 529135e12eb3b7a0321dcd3477b4ff3d6395d2341511437dc1e8917b641ea0a94f1fca3556
+GCD = 18ccffed86b3bc1e836aa43447831db8c0efe2
+
+A = 3d2813b3d9b280a4c03d3db3601964bb35adefb6dcd31e2d27a44a6fca17864d325eee26fde
+B = -20f1972ee28233cf4dbadfa5adcd399aee25c8ffe77f1bd969adbc3dc081c033b0ce16511c5
+GCD = 6e664481df3c1f9248e28dd9622424a413b013
+
+A = 1629971f08614cbb42410e785d48063802e2564173e8eac978a8d5f02c2fed19f9af85475fec
+B = -cb20d96f3826a4bdadbd3763b35dc03b6ac938968eccdbde422bb2d348ce62681b663ec998c
+GCD = eb2e218bb74cf554a5fe5ade02e78cfc588f04
+
+A = -24e9f690a775d100d99defb230688efae4ec7652c33b8724d4f96f2bf7c0f8b4193aa63093de
+B = -20c7981ca7932686f71eca5b2800b0986424e7a8ec3f6e1afb52f1bfcc0e95d24f831cc81416
+GCD = bc687ac30265ca7040bcdde1deca1eb5f25096
+
+A = 1d8c9ed1ed1af6f441719718852973096b7272b2814a7bfa6a1363e3f07b1cdb17d7f2c8c503
+B = 109e421661fc6a123fd111ddf55f7d4e4236d339aa2e0b0549229a36ed5ee806f7195c7bc6215
+GCD = 136910e0a9647c85dc04f9cda936f2e438eb3c3
+
+A = 1292f188f0c08bb3563e2116f7eb738ccadfd6f02fcb3cfcb617a7e61ef41e94ba7b9a3ac578
+B = 40a9cfbbe61c779eb4b72e5d09bcd9061e0f77d3c5885be65ab42182c8519d8d0827aec5e5047
+GCD = 2a9bc97d63aaea3501e3f1b0f07cdb45140cd11
+
+A = a1dcbfa2ad666112a17d65b01a1aeb38b3ecd987e154c453a1624625fb9340a076ca375ce9546
+B = 14a91adfe7a64cbca34b0374c6ff11ecde62154fa140e8eda24ed8539ae1fbb47afcafe23dc569
+GCD = 7d2adaa9139a4fc7a6d72c804123ded5d07a5bf
+
+A = 65781b766bbb0660f8c0ec78dd8448f3aefdfa2570fbc362efc2f15a903e7b3c29ba4ae994b69
+B = -41b59c298c47be0a4e0fdefdcf76ce2d5ba585f1d213df0abf4b93d295c1a11c49ae473142c8d0
+GCD = 23ad77f235539f36899547c20ba5f3b31d401467
+
+A = -10c5531121b0f9a5f4280196c2bbe765ea280f61a243a5bbf29bf5f6b9838299337aa30d69bac0e
+B = 10ef8d5bcc77ba1638c8339e5059e6a2fe97d1f2af0499c2c01d2732ba52d3d99ca5a2f8ba47ba
+GCD = 2c87b8fa6c5008b7e149aa9edbfcb0865dc4613a
+
+A = bf96f79b3ff7ffd5b4b02ddf56cdd06d4feb2ba314796cd0ab4855eeb4cc2c6f65df8f0d054590
+B = -3b0cde994a55d36705fb4bb03fe07f8595610a603027854df78e7087124af820f61ad846cbb2840
+GCD = 3089792fa413eecf9209b7fa444b98438f1bd0f0
+
+A = -1ada369eadb8c2e586e175de26042ad83a8f6d8e8f63e3d80b05f9ccb2b7b1d868e415c9e6674842
+B = -12bcc5a9bb5bad252b832ca1fdf4f23404b67df872412aea27dfb2bbd6ba568a6b2ecd560ec85049
+GCD = 77acdaa5c92f9f1bc3d29da07fd8f6657026cd99
+
+A = -53aa92e0c3679565d691f13c8183b155422d13e255583836b6e1d0f04b79c4b168b25cfb19e77a37
+B = -5e6f97724e9a787d14772355af7f8e0a6fff3b83369ec8c244e3d350543262e7c554926c2bf962fd
+GCD = 5c6be609709f5b8370d7fd3cf67a113cd4564915b
+
+A = a753912c8aae0d791e814ead46107c3141e4e35fe1292c8ccb0a5ddfe920e9e4a21f0e70f4b2bc72
+B = -7240241f78f45efc98c74523c53986c6da7229b423f24abfd3512f89f5dc58ad7a55c7ef38b917c
+GCD = 1eca14bfc3e333ca231c3b7e491140d03ea14d012
+
+A = 6cc04a74eed0c7765722e6ca29f8a0b2b2bc7d2e85ac3782a87c727dfabc02d575e640c087778b728
+B = -2cfea03bf556a932491a507f96aa914cbf61c179a2b3820a2a2e49d761c965c5bc815994d1697b610
+GCD = 3790682c4276ab8561bf2ce20fa7ee31aecaf8f38
+
+A = -72253f3e1b362cd773ed9ca5e308a062acbf1357c920d6a1537a157d1b927aea5fc3c45b047350978
+B = 54ab091f9d0e5d493f0414f699bc7e203224cf9125fcc55a0483af606670e74349a402fd1fdf876a0
+GCD = 43e5171c76f68a8c133bd6b03917a5a67fd706538
+
+A = 267c4aee22204ea4cd6feb4a539dd7db4e9ccfe5640aa8a016810b454a9ec3d1bf06c1a63bbeedfde0
+B = -2e08d4a67af7cf209baf33e06c04ddc2a33e27d9856f95ff92a3307ebd69949cb8ac6311b880cd78e0
+GCD = 894b2341dfffa75a6db26e7cf2a06387a22c400060
+
+A = 79952c504e7fa3bd735273cad2c642e27fe06b94fddee39bfaed9d418e9f3574f3886fc825e829b23c
+B = 13513535014a3fe8e9aff67fee1ad10f636029a0e861151c6b16b3b6dc6147a0ece6fa278299cf04d4c
+GCD = 5fae988932ea9cef1b5e2036a686450258ab80dd34
+
+A = -1e41753cd6bdeff8541745b6eed07556fb0850de680909bac89c3df987077512831c955ccc8bf4873a8
+B = -363575fb00b8d17f15ce4750333e2c43b357e21e9ba71f5a56c60f6081c0ecf6c2781e2d2e19ea6d720
+GCD = 23b9ec49be337e1b87122a8928bde60b88db8915d8
+
+A = 1a0c150d7430a23cc835e3d01bc2e6fa5ea64286fb8f884ee7a950d0158ed4e900345e6fe5b27761374a
+B = bf7c788ebeeff2ec198a1837537ea7ea34b3799da04cd2b37b638e0fc4bea92ac1753c25b9be166dbbe
+GCD = 793f9064b11103ed1527c3f6bc48086c981a076dde
+
+A = -6580c63f218b672fe57595745c2ba477064d73be75d6c00278ba4931e6ecf5b127cc6735338080aa71c3
+B = 4b6f7ca1ca7190a3bf11f5ff3b27f926c82b229fb5940af33f92c0e46d8c5aa9e4741f82a86d4608a6bf
+GCD = dd231785828eb794328e10606fb81e12647df8c621
+
+A = -cc9da1be18fffe6c682c0c804740e73981c5010fbdbb01beab5ec2212136bd602c1f971196ea9883641f
+B = c9b4e7c5f764913af6711e6639c72fbeb5444958bd44e7acd422a669e502db8387dbb10f906a3d92a488
+GCD = 12c6593a022fa6cfaeeb3132f985795fc7aec930ea7
+
+A = 21fdcf5c6602f088e5cb695b6ab2a7ea8e97efb274c829a350aa993cc6e10332b5490350cc5b0713094da
+B = 255349cf969e1e927599069d437efda8a3712b0f31fcd8ed15cf49271741f37751a647edc3dd63902dd82
+GCD = ba4e6766f6ed19f796dbf7015be73c868c869e9377e
+
+A = 5c7f3f847b12342b82b987d02804dc9799252893a009240d2e158a9bd2ae289b5dceea9ad19a35c40f580
+B = 11d701fc1407a7acbd5539771211933ce9e78db75dba455528ac5996ff7c7fad1251a9d7f75dae616fb680
+GCD = 6fac7e8051f84c3b5de922c50e33907e0dc66c1aa80
+
+A = -6bba5cd79bb14c94184fcd351e25fc8feedb77a0bf5923b0ebf75988ad7f977353c1814f2f882ccbe250bc
+B = 6e0eee1ec51deafa167cc7446d0cdf8675d903ab3fb0bf1bbbfff9422d69a82194ce353aa142d86d9e5f8f
+GCD = e63779a558e7b41b157d3805c8b6088fcdc82eb3a9f
+
+A = -85f8209a86567a693dedd65c1ded8d5d94ae95336650f545589445062d68c210a235c382f508778bb82d12
+B = -4acfd476665bdfd71864857764b784fdfdce90b639a6e7823711a5ed41e06d09db5101d394ce0c549bb431
+GCD = 19dcc8d7005558e81c57499b933479d21c2ca6902b71
+
+A = -2707873a7747ead5abcc6082118078fa544d500bc472c8a908a4e97f04264f937970820d3145bf1d19fda00
+B = -11c97886cfac841ff3b5a75bfcce84c04e076cbfaf7aba9b09d508905ccff5196da54459aaa686fd219d690
+GCD = 20d26819ec5a915caab7efc5bcfdf191f8bd2efc8550
+
+A = 7054701496a1a89bdad2a8b956563285d400a22ead98bd91b6094146954da0b10ef144a5d85273b9a1b3738
+B = 1a997268c77427fa51abf229a02948819922c98ae2af2c7e809bc7194420229c372844195dc32cc0d62c0594
+GCD = d83cfe3fc146c35424163d8af62b1520400ab595d20c
+
+A = -2ac78840f309d76ad80db5be322b61a05860962180f29d9efeb18b5470f0d8842311773c8ef8462af2938b54
+B = 3c2e89dc73201d467f22eb5a927b1ec47d19c1f42c7d84a8650c8dab7f752f71a6953b9784297afba5fbe846
+GCD = da53c6858be7847f60fd8cdea3fba9568147f73c31fa
+
+A = 75203de87af36826d6f8d721ab8f130b01785628659423de381b3d38b44157e316c0fc762631970cbab8249a
+B = -d136743cc99f5a63dcb4a1378b95aebb6db2355062c00a7c6125112a2b5bb37b030acf2890dba1094ccdb7ce
+GCD = 11a447c9bba42dbb352ae60e7aef11bfe7ccfca4e170a
+
+A = -da62eb5663c46a81e290ab358e1625846ab4919a4a5dbaea1a5758fe929a21eca5db6f400e496a1d3a8068ae
+B = -25ef945b2823e5e653d0026e84c098abf56cc254749b461e50a98b0ef04af41ca1de0ade55d98c34a06c6301e
+GCD = d08cb1b353bc3d41ece972a634c6a0f6256b1fc091732
+
+A = -11ea55d281fbc84982279b0e83eca8a1d843cb8eecfa994b5a4bb0628c4b07f2856e0a55ca85e3b8f5763dcaee
+B = -17d851f04af3405d40be76c6edd205c72472d24bf4b64614148a64b499289831a1c688b04c3b89fc879cc47918
+GCD = 1dc89dc7ce1b2587d4b3723019d4dea3b28c39233f68786
+
+A = -1f9098186e2ac730dacbe0ae273ff5d2e84b1a6937a7865c9edaaba36ed44363fb1e5c6db70bd7167cea004848
+B = 32cc1dd56bbeb6e985fc3f62f4e422fdc6a339154284d546206093d4d8f0ac747966a6173b6e2d98259966edc2
+GCD = cff905834a31af69a90b2bdbfce3c0f5bd2ea2006e33e
+
+A = -539fc42ef8067519bf74f91215812cd3682e895feffe8e97f014cf8e649999c03f59d3818b887bcd95c558a228
+B = 4bcdaca533de4848ae48e17d75c862a71860ed167cbb7aa5f5e319771cb98a1700f22d03c28e7f5b497513dfc8
+GCD = 107915cdc26bb1457a8b65a4c5ef68b1d99d74689ec198
+
+A = 345238bf3bb2eadbe74f169a17c7bff63a098bd21e85d51c88a164741eabc6331edc1cd16cdeffe52feafe7bf7e
+B = -26942c82611e486a842366e54f6c32827592fe833dd859c837e6bb27516e960e1be23d6a8539d7e1d7013d0a6c4
+GCD = 205d424e49857c462b875071eae87a65c99f1d37cf9982
+
+A = -c9e3ddd95cc1e289d7863a179b44a6f372fc0fd317dc9764c42eaba3290f31430550a984cc3a139236254db3f2c
+B = -1aed15c9166cc96d8d2c9f2a0c2067d8c4743154a5bb78442ae8336efd5d96e041ad0d0be45d1238738920c300e8
+GCD = 6be5ae23ef79ec1dcf03948f09f8a775039367584bf35c
+
+A = 145def3ae36900db349ffdde9e636f50f59754da5107dd8bf6abd002c885ccbdd727c64a280bff0f0ec3ce60c81
+B = 5026b9a0c78bfacb35f0ef7a2cf815e920ee74ed08a7d1e13b33ac18b789c319c22c3dd7ac3f229fe3a7ab2d56e9
+GCD = f29c53708d66a5be6fb6f64913e2b651b6d3b3492acd0f
+
+A = -16d38f6d87084a3947af97cf4191143fff27c27c03087660106a3a9812b7a0b24a589fbd894a23c5b4c55e6af741c
+B = 129a5a1815ccce0a9e2464f9252a58152d6aa82920f9bddc4bcb8becf588e6feed67a04f025b7b2395e0812408c18
+GCD = 1c4b69c3607775a7497f928e3b1dbfb1b0b57be1609054c
+
+A = 40770565b641268e97fef5cfe1e91c21c25c80cac020c9d23cc7d1d508c0126bd5eec638b34da5c8b9fd12fb05b10
+B = 443966c18fc15502b80bf86e85638b203244077ee13e70993c16d6e98ace1e50548543b736bd776c14b8618ad5a91
+GCD = 2a0e7ceca9b0bbc68cd38628b50faac8a891d0aaa801235
+
+A = 753b2c3ab29e927f2771e34da31e5db3775d0f65a9f2696f4802782ebeb326d9c5b17030cf960df1791e2468b8b6
+B = -67a434ff28697a4e660290757602b27a4d2b3b4015b8df5e272864c6388bcc34ef54178dbfb3d430e720f8e466d1b
+GCD = 78f2a1e5760a41cf422ab7218b801a23413698f8b5b0397
+
+A = -286b0890de2ae79845db79368b2f5b074d9083b2dfc9ac123d22e63a24dab9ad6690f4bf2e26cb188bda8e5f4a23de
+B = 6d53b6b7cdddf234b0dd117c9c1f9bfd673bb1cda7931d359f8ce1e95600898438f5bd85441839787a5cb907dd5832
+GCD = 1f8c81a01f2316dc1ea1164df161b3b8f712eb7a23ce822a
+
+A = 1a763357284ceb368fe9a8e56087b3fd1c2356508e7cbc061c8885e7a5045610cde0c8b5fdde3d6bb8f4f471a3655c
+B = -198498012c7cbe6ad15acb6d5d8550a266a9a5f1af731af23d0b1387a96c23ba032e47e463224fc7006320c1b5b130e
+GCD = 213247acd8b9f495b766695517558e78a572601bbae637e8a
+
+A = -151c47f5c8c79774eb97af0dfdf9ed318fdb9b4f54d79296594f9ed156d2f581fd658bd2701e79a4052bc4f19355cc6
+B = 499661fdd595dbc4cba807601ec18b2b2d872233813d832c4d400436efce01d26969983f8a0cd7429874a7191678246
+GCD = 2533450171229c32872dc8ee91419b870340acf177f14242
+
+A = -6d343221fa5bf1388c517f7bae0b265bc291b9df8495b186e78e87e6403dadc114202b745cf6864a4a5bf4f5e8377eb
+B = 5384f5bbea4325890b2b01ec2b7efd18b50e46335d73cffb2b68a3d89521013073d5518b5843b3c0e0cf72297466614
+GCD = 4000a2508db78b08c335d937598a3a5f3007bd84e07b0ff7
+
+A = -19d805952563485e813690d907d9fcd9982b41d72a5a8c6655a41fa48d1dd87d7600e75e581d52460b509a461ec7c154
+B = 4b7c0bdafcf3198e86b869b06e94144de2a1b70d4e04f1556061c1c8d481b96e36d42cdbcc2fbec87242e71a464fe9c9
+GCD = e14b04c72b12cd34361585c3c0e9bcaaee5614a87b8bb7ff
+
+A = e8018581f5556724c2d85d5749059e8927adb87d9f791cc218b51b547a9aa9c84c5b1e4f59ff70bac41e0bf7f42eba3e
+B = -171dc792518a7cf6dccb26e119108fbb9f0919d563c4c33d78c8ab0b4ce9b1052e48cdb008b96d7348c551c8592ae8cf4
+GCD = 3bdb23ceae81fb76d167450cd9865448507b0ae053e554d3e
+
+A = 3f4e204f801cdaffb8a609e5cbcfff78c717941071a8e03acbc27b45e9d4aeb5fef050896c85588ec1c8a16f928f479c2
+B = 27c6d008f2c65359b1dc1a4b034ffa4b6913da1385bd50720c2844949c70af6e379f8fbd8d7b1abc0d3b273e7a6cb35dc
+GCD = 831a3c10761e9a5b13e9d2eb93787e3c70e805358bfb28326
+
+A = 1558dd8e52b4a450d135fa59167d6157803cd4da1bd276fb9c8f02c4a95692856ed7f0f61f977764359a0bd31d5bf13f3c
+B = -ac9e54f36ed98bf1197b7de094c22ab01f3d692d0637800cb6524adc8ba0ec7f8f2518349f887653c719a274e10c1b966
+GCD = f62d2cdd7599bd724f005c6bced3a26e95cf9f989e8b1d20a
+
+A = -479eb40ee5130182b94bc01ab422bfcc872db6c900a226f350718586de9f7725f35817454cf25720cfeb4e6abd82788f9a
+B = -5508d4d4434cebd8f52319fe9af311cafe1e8b1ca6ee4ebd33b36803d4da56a30de39633c3fa16341f89d92349e8fbb958
+GCD = 15efd7670626a771144651530f20b87a9d81198920ded46a96
+
+A = 88d0048b5022fb3e0b20b658b748f930c6aa74b8ec07a79730edb69af5625787017f58b6fd671f5644047e4f9c474b00dd
+B = -113a3126fcd16ab8962f30daee939442fbbc0b1d8b36a8b6d4aaf40d08c2fca0e40ec3242d632b756a64defa8df81f20641
+GCD = 54a3d46f93fbc776076987d9bfea8186d1d29589a60c36e9a7
+
+A = -1bdc5b8a3404c09a8bc4a2706acd9e4b6f703931a91d099915c522953b6512409e472852c098f21ffa46ec06072137abb8c
+B = -19cdfd062e60822f25372dfd9f0fe3a8e70900ed1efe2a9ebd2c7e4a3f9a8f73b5ae6a3ddd1a616022ce2c66836fd5d63a4
+GCD = cba2aa900ce0b370807872cef627cb6f3636b5503646162c44
+
+A = 14c8c9e610760694c5c67959786c50241a8f123554d614ef07698e686f84f04349f4244866598c39ffe0b297e4840f0aef4e
+B = 7de0d0971de3c2fefb1b1c5f843353deb1d7ab787cab71ec163422da96922c38c00311e89d59b191a3c009badce1424b7f8
+GCD = dabc3eedf6652d65f442dae1df972eac04b623a60ad52fcf8e
+
+A = 3cd7a3b0de35b8912302d76873868b5e55adc0ed48e18c16adacb9cf32e3abb8473e130f32cf08117a741321aba3c8e209ad
+B = 250923c0ae66e1d3119db8a26fea6bff24fa1da2f8fced77ef215ba118df16407515165c6f4957ae7f37942ae4f05d6af123
+GCD = 92b68549280689712ddf5911a87113a38da98181d025b9d8f5
+
+A = 3db7f3753e722cde98f0f816d7f486fc22a5f438746bfbdfd6281ab58568238555ebc2381a296af11ac9b58b98d6852b365a
+B = -d1e854ab08bc351e69add4668fb373c452aaad30887b70f14ac7c7c159de296b7ecf2faa58a150a220b895b2380ee0936f6c
+GCD = 1d00ead564d6fc8d0fb2ef4a025dfda5bd278487c9cb1a6ae7e
+
+A = -4543d77a51431895adeff40dec120080bd8fa697801b73c5e1034d1310813c16b739cdb51ce6585bafed527d074d58e0a0fbb
+B = -1e48df0e1d9432d3c04c6210dfe3d8d2b9e487023d7bb756dbf1cd097c48c04814bfa247fdbc6466a6ee003a144da56afdfe5
+GCD = 2a931574a93c8cee4695a09cb2f28b99111afbc3bea74c4d135
+
+A = 8dfa4e53421c11daf4ad243529cedeb2c8b4e0ab68f19adc259476760e1c5e4e8a0821e4b52911438c531d12c57bfd636d940
+B = 1f2658c0a8692ab10cf012b8ce9a3ffc251b37aa6587ae3ef747f8d4cc9c04e5eb899b83deb3ceb93c3385572c0aa3d877f780
+GCD = 7ecab00f8151a74d219b067ede81719c25a0c265c31a7137740
+
+A = 3d3767ab5f736946bc457b408c2546deba1657da36a9adcfbaef6fd8caea8f0ebfa7c2f6c5628a453bedbff5abf88a4aa1b6c0
+B = 219b090924b36fa57e2127a3a47563bbb9231c296abc2d5521ff1227fb0ca771e7c053b5e9f571060ca1459affed8951cde14a
+GCD = 8fc8bad098e4118abf8709040cd4d5165e683829e7072da5dde
+
+A = -bf4a5a19a95159d4a8862d1ae61893c714e42632e2f33788000922b4c5d91829f57d08e620b068f19f9b7c315a41be52eccf62
+B = 73e318c13b8803640b258df2cf53f54f0ab0abebe99c5d593c103ab9c0e1e611fe58dc9d8e0496463f4f6e7e3df214aef86d98
+GCD = 18fbb584a28e138a7e129bc954bff84b588044c2842420a50e76
+
+A = 4e34092382eb35e7d263b745069008fd18c446327ad915833179008abb4bd3852d71bb648abde0147c2c2f73c3b1b88e03239e
+B = -65daaf978c59591cb6a53e938d4116850ba8579cc74bba340511ef8713119e939df7e1ebf34d2f0e443e4d5c0e1ebc94c098e13
+GCD = 37ccb42cb4eae376fcdcf4b453550b21a4e4cf4d6dabfc38c0bd
+
+A = -b9011701d0c08322f97a831f57f754247a81d4bcb492baf116fdf418d1ab5ec54c15d962053127d7299c8c52d07a3481e30b301
+B = -8a1863ca08e6a2d9d36247047b26201294c36f8d654124603d1cf294fabae963e032aa10534cda7eac6f3c6b3b62dbec7868791
+GCD = 676bca69959743317359428589273f18287d327f338cbeb32547
+
+A = 16cc4d9182c42a6b6c839cd2ba010454d3c672b3bbdc3b54e0a9fc793d81dc3e87a3eecab5b1703aee5c62c1c2ff6d45c76917de
+B = 5022a9079d66e93e0f6b95dd56ae565f434be101a73de4c55ff2ce11c9449950cee02bf9802170ab582721cb5a9085001f09e322
+GCD = c0c6d7316012448f8a36a5f3d177c832b740ec16d350a8b17796
+
+A = -cfb29432f7b6e8ca57bfa645629187784344a45c0b6ab7ff0ab3a33c7d858986587e89a5f2f6e0cdc640c1892309d0e9cd363fa8
+B = 10a03502dcf683ea8edcfb995087c324834796bf6d8652f23e6f672ee0930bb565c7a8860b78e177264b535782b22653a5f2c5e23
+GCD = 133ca4e1201fa1e489ea670c0d538bb399d14370ce00a5f7d7361
+
+A = -3273fe450c5a4d13a662665e2b65c7bd6b84be94ca194628817cbcb7a320330fa929d31c0fffdc2f4d1cbf851265591ad6d60abf8
+B = -1abe1b39a3833d4ef3b29c7479b11d503550fa450f4a01502e824338ff496160680b73df032d8b203d58469bbc8cf8ba7aebada62
+GCD = 76e87645b6fd46b767711cc9db0792fbf747ff09753bee7b018bace
+
+A = cce4ce303bb56f35b0a4a0b1627ab555e0ad5ab8216df6474edfc53a6528126514ced5a620c3f38b0f4801bae834079235cd4dd50
+B = -119a0798fffee9cc2238563e22f18a7a9f504606e7bd8445fed7ffe5aed3ec0bfe1922ececc7a49da978568f78e555bb5672c2c00e
+GCD = 554f895adc399ccd3d4eff3c92af8c5eebc7d928eaa653262f8a6
+
+A = -f542da8fc3fca1970bd95a0bdfc055a3e4dcf4210c0cb1e924beb544260c5977a209600ec901dfae031442f9a099806a900d3c30
+B = 15f656529a87dc4e8f328c7b9d9cb6a50bafe670d85bf37b69ca5bffb62c4b725d7723af0308959e387c5e3f9047501ec17c2c97ec
+GCD = 159f00110db650fa7022913c4be9be5f8db038d21457df67292cfc
+
+A = -3b914518f964cbc1a2179a9089e822ca5a5a79fda2545adc867674abbd3ed3281ea29c1d235b45123e20aae5b9383d2673f19fc0ba
+B = -12b0fc49faa313c83002782c01179de99b1412b57b8a05b9b9bbe38980945c063e533bea34f7ed0d30a1bf7d857f41e9116f0f84880
+GCD = 928695828532755b9fbc6af84f4a9ff75f8ba08b738be1138c7ad6
+
+A = -d75c84375ca7d27e9d2b01257603c7c87d35a51174143b3b53668fabd0294d645ba637a04f31ad24a5b19152a6785fa6d1e4e11738
+B = -15ced90b5e836536c57add07d7cfa1b09a1969493ea064b0ddeab1a4fcceb3653bd98aeecbcd56cb72661f5147fd311aacb282d120c
+GCD = 61a8fa789fd156be601a41782066210b0cec24dd29691a0a83bed4
+
+A = -159b9cc0a3863dfac0ccaa1cc7903a71976b9a29db39e3449f4a17adff7ed1fb44495f64eecfdc40f6c094acd74962e2add4943fc7e0
+B = 10c855361a721dd9732215c66ca8295cbe1b311807c3501dc7cedebd5159665900accf405403c11f3b76f563e9f00b0285a315f44640
+GCD = 635bb3166f93745eae06a1f0b4837afed6156dc9a03f52f79e4260
+
+A = 1235a6ee13f28e3fc211e06cde2a30e07024af731c59a29cc1366bd5ccdc1419914508097193fe551a1cdacb94cb48f875f685609a30
+B = 4062e13e531b0f0ab84829f6e292105bf786328dffc60e71533f28390b339af23b0c57f3b09cda3074efd9267b242d7e8b20a6ab3880
+GCD = ab35c7749c37afd1bd42ff0ecf0530e6a5b3bcffc17e07d5b9ceb0
+
+A = fbf7dc8e478080932a0a141b2a36ef37f015f5d78ecc0b3f5aba836c8f6f433b092e391fefed68fdbf095808728aa233bd336814ce28
+B = -b329794340178361748277a6cd1138191e5df3ac4e10b1f61faa21574f72db767c3addae3c8b3b36f9e86918e6dba15a308349ff800d
+GCD = 15b7aba51d043e81d4833d00ba7d252866edcd7b9d9574c3113eb95
+
+A = 22443fd9b5638191f9d51e16f0ce72ded78a31c8caf4791fed8847070afeda7bc212d713a794aa6fbb6488bdc7ba2f3e0858faff2ce5e
+B = 5990760a8d54ba970d310d97e21d6b90588741d273010a4b81bcaa463bbc874d4e926768808703735294e8efe4d316abec856db0b0bb4
+GCD = 3a49cd38d520446ee1ea5093efcfb51eabc18eb7aa1ca2a5abc3ca6
+
+A = -3364e480f552b00f701193de1dd82e94a997e1401d22a9bade30e9843997495f9b265d33a305634230220af7c1c35ad3e0bebb6ff3569
+B = 131a85a51e1b41f28aa94fab4b35f1349769b61db239aebca57c9d11246fa1263dc4187406aa23ec9da70316b405d1d6d969ec6f90b630
+GCD = 4ea0e98af23428817648851780f0aa6c607bf473cf9573234ac0d3d
+
+A = 649aa1f5552567c880f06bcb7c794cf3a7b0c625e25be7d7512bc8584efd003e95135086856d57f73a2860687440b6de1acd0c034bcdf6
+B = -19b85bfb1afb006875c1a730fd8df9f51e8bc596aff14b054421f2ff3a7f0aa0efa94961339cf0a4e89890653206058a1a712dd6591faa
+GCD = f01f1de7068e1231f256057dd0c109d8f83ea8731195c1f3087b36a
+
+A = 4019768c40712020adad69bd1b8a4883c500e738175b3a2aa9a47029097cb4bd09b0c0898eb7dc1cc3654e6cb8290deec183044032face
+B = 18555037a6818ff4f4f71994e13eae64df48e3ef8291a3e64490e0a628dbe89ac188307c4c4cd781d08b3bf0600bff6641396a129c0d4c
+GCD = 3215d8c73b8cab3280e2ca0064820689c076e2811c3f3361074076a2
+
+A = 3373f2c105a5eba6339a3b0e3c1eeb6372cb6b1e90fed0b78f9aba3c16cf32134810321697cb5d58ed59251ae813b03a547d42d1fd1158c
+B = -300ffe8f4e814569227ee23ade7fab29db2840920bd9cffafabc818eeda9deab45b0adfd3020f4a93a8ab273a6ff0411943086bd2509926
+GCD = 2ff65fb933e30c2a25997c291004dca0c48df55cdca6f32c2d689f2a
+
+A = -9bc948668558e518d69653e034e5c4c6feb9a16acc99f3332a791faa48c4ca8f39cbbbee34f6320760699bd33554c97c1103bffa752e231
+B = -13745de6c2c9fa492252beb8c83d1969ee623fba21b3d7e3474a2186e30a4f28f5f7075052d8f19694d762c4ff49cb40e6048a2f6b5bf2a9
+GCD = 17552b9afd63a0a99f1a94df9555b6e22e0f96765b97cfe6312aa0f2b
+
+A = 22b99eb84f08f637b84f80f0ff8c937448cfa9b792820beaa5e283a42545590ba8bcf844bbb0279eb4825147bc5166524d259ab642175680
+B = -22f9f0b193d5595765a4b3710beba70589a24a3f56770274b349472a05a48ba02c0adf06ed4b8650c407ca9cb45775cc183448be4539bb00
+GCD = a13927cc5c5450d6aee173ad5032f488af2a3ea22794ea42e6aa4880
+
+A = -10e836ea0c86027feada0d19c73908bd09655285f0a2afe4c6a281f1344ebed130f2a98081e2acd3c5c0e5e6fcc729a52f7c652a5991a00b6
+B = -15d547eb5f30213c6c9ece29048e91e57e4efac3075d474157909ffa1788e427aef39d5e39952fd4ca661605834d0e5d5ab87f2e31931ed46
+GCD = 35fc32ce12e5267a0e367b3395977b1bbb718e9754cd7a9cfa1f496d6
+
+A = -660d3e1e6c4786e81c7bfe2e14672244cc915a949a74e5fd81e836d0b5e761edd88448f410daac75e988951ecc3548e0b9973cff77fffa906
+B = e64fb42cf6be4f3254b6d52cd8fdd9618b75f2c2192c8158698209436de33bb5ea391b6d659a0728b54b06fb3b65bc95d99ea9a1b0f0efe7
+GCD = 3bbc4dc6f3cb8078f97c88418af7954de1e4a30ce1303b70d1c32ee87
+
+A = -3770dbf23da5fabb8a67bbac768ca53bb0b4f9c6567692467c8c52b89f56178d1c5cc25bcb0ec8167cee916ad8e3b890cf1d63650a85044ad
+B = -db61f1213c642a989f83c898e3e4d84ce34fa63ef96f8e719b62772cb8e80fdba8243e9dee3f16e2e7694131e8c25c5419265eea60422e973
+GCD = 6ba743f69174958a228e5260c971854a4a52fc14f83c304c6fbeb789b
+
+A = -2a65659b013d56e26355f01e62201dd90eb55466c03bf96eeec6cfb963982f0cbcb7c3ec9b451af8e297a30b217664d150ce38255bd4ffb277
+B = -2083732e388f22e6a9f605d182d3929718fbe06f754c39d40be378c8d5cd5a1db05524fc31942fbe4bf2fe39d94d81a0174a1eaed220bd5873
+GCD = a9afbd0e33ff2e7b98cf5f05331909f7b718b36f9a4bf31ae59147157
+
+A = 19c2d5d67ea12f2b7f7685463f73c5e62defb7b27aeee0bd02462695e2b408ac624adf5ce716119bc3a0e3e3a8f6ca115bf176f131df3c8b1e6
+B = -5e8713b5f2d2b01bfc102d0e0c25f88236f451961b79fed40d0667fb71f207ff95a3b75044d18f02a93639bafc72358448d46846b879b1c8fa
+GCD = 1a8447fd535c9645aad89ac2b790c0d4231bbeb1641273af9994ddfaa2
+
+A = -2d1da410c37d40aafcf457ab53629f15e8e24aada4a2d78633949286458df5491667fd59427c0d292ed9704fb10efbe5444f178e657a3fea228
+B = -4570f051785a46938b9db3f0f75858fd81c5edab48a7298e9537847314ca56feea13dcac9b71a5a567f9be748c9403b752f6b4cfbe03f56037c
+GCD = 16e6ee8fdf7aa7966069b898fa3a5b8bb9e494a89200a27eb841be4b184
+
+A = f80bf37dd6f5c8941d9c269fe80ff8731ae1fb99f45f4240f868d43c24dc8995f0970847a759906b7906fd176a194cf4d1c2d72288718b489bd
+B = 105a371338d22b530b68c058b9f30e641ff5cf7663fb28a1ddc5e4e7a6a93f092eea8145a7c9a56d5669a3f42265b1c599ab54590ba1da789e37
+GCD = 2bb36aa6242fae1c6d99f9b32d36f723b1fa8a0f8b1c64cc7f77d404a17
+
+A = -544514f654fd9f60dbfe770092045a201aa318647463520f70c9b999dcb719b8bab9282c83bfd4fa9833f3f6ca1a06fbd8436d76c23c3c48f602
+B = 1eb1adc9b8386d872192031ed92a02dacb6c36a1ad965965567eb2fd16917793e1d3d637163cf920fbfba75121920f8d7511de622a0e5e39d84c
+GCD = 16531bf534ce1bf9b23463e225fdb3f28f6bc55d1cb6fe9af4e2e26ea62
+
+A = 8e2fbcd406c57293d51cddbe10fa33a2d2b21edf9bd0434a9bdcc02c6df1e56284d56924d030b8830450d560223dbde9fb7ef98f603588be81e0
+B = da7d00c8504366804185bc00851a5782e0d99aa1a6b9bf104a1b9d4a8386feabc57469f0e4f95d981dc0183adf9db6c7eea339ddab00664df8c8
+GCD = 29ddde28ae7ec95a9b3e07407fdcb0ec597ab03bed65b2784ec3f597dc8
+
+A = 7832045bdeba8a0934ca9f4477b67432f54be4a99227d9d8b41671c228e20369f5851a61bdebc88d8153abb0cee83effcf886eab9e573956e4e16
+B = -214dbfa10b4573d7423f635ec00c68ff20e9f68517aeedee4aa9b57f58499ae55657b0459f3215a070932294faec5d4aa3a0e7d3233ac3df1d8fc
+GCD = 44f7f79135a865fee8d94c540740e886ae6965af8a60ba7f558363cdc4f2
+
+A = 187b92238dfc9c1179fc485e6dd5ea9b3b8154123fb89fd41996e7ae59cfbe36882661438aca8a0d23c20876c231679060ce87e76481ae9c3dfb88
+B = febbccbb01af358555e22b3e4d02d8512763b853a2f15558199a46b450e4943c79c9e3683e2b7e093e7e72b66fdca956c7ab099ad33d82bda788
+GCD = e8844f9edfef1fc4b0a8f9e18e47a520186378fae7a1ba3c25fcfcd52f8
+
+A = -5615c997de67d9b0d8596296ddb43b07af45246b4ce44a346415302faefe7ec5635ba23bb456814f74667f7de106f85b94423519332ca1d43e5971
+B = -45ec83798afa6c1080bb3549e9f867f29dece4ebb09edfc8e2019076c2af4c4657124070c73b51e7df41aada76a06097e19e9a20f5fc6a73bee7d4
+GCD = 7c563eee6cc5a6b259e11206e8df35fb259f280a2de68a594d93660689bb
+
+A = 11efeb97d25f7fab38d0e36b9c2c25a70f48b357bf4710cfa3eccfa7d9324cde6f86f3bdc508cc23b3f8871c32f0b5221af44faf4bd411ab6475fd1
+B = 175161b7c93a71b2844ff34d2b2b3aacdda47a76896c7c132078efb80983f9a12cd08bc98d71e2cba6c6cf06a84908068fa9ac385cf163f3c0679fc
+GCD = 1f91daca6d11233a7361255ee1f84dd89ebb94287a0de01cef08b3ccd4c1
+
+A = 3f6c63a6240c783fdd6f86a0631c4128d49665c25fa03b00c137358e34f0f499db355d1b48422412b40dbdf24a7788d15b1878171fb21e1af58078
+B = e82b3f2ef1b02cc840543e67cc4cc7351c4ca1bbaa933b67d7dbdec924f815b6d73f21906f8e7b05b2614e98105d5c4329fe48a5484a368ada155c
+GCD = 56a85156dc1a49fc180f75f9fb389616be527a590718d3564a188ac7169c
+
+A = -b28676e1888399b7225faab2d0592bf24435dbd794bf82cc182eeec5fd6ee01b83efe0ed379847fc452ba2a9264f0ecaa4ec15e35a6fa6dfd51237c
+B = 58d52aeee3cd6341d247c92d26360b2147eb5bdafb63a757fdc3c03f5de308cb0d9fb35698e8be4ce919ba5107c5dac6b801ec0397e9a26d941a590
+GCD = ea955035fd3fd8c827095523ce66903b3e181eea3a6a6b3ad023e26e776c
+
+A = 4b59bf66db0d8e183e53690097de17b048cefa6f956c9d5abb2b9deff2019375336a618a2bef46e0f5538917de46625b44b209e9471f6efb775340da
+B = -2e1fc6caad945ab20340ab7bd17b26e214bcb852c995c8a01235adc8ded2dddba5cae806b2b2b2a6778d91b68e26629f18ab85fb017f0c6126198612
+GCD = ebd2978a2d5667594854425d50885fa298a37eb75cf59f24ffd88876e0f2
+
+A = 1452cdf9df4cf479480cb771f247a14808685183ac297d87989a4afbeecec255d34b4fdfac188e3a4b3797919f67ee029025902585ea223957220109a
+B = 27f16868b878666e9a154964120f3aa91b70164f2f29c1d21ebcfb0fe15839f940d09d7ab3818505a2149753770b211c22af03dfcdac03e357e4dcc0
+GCD = 325dc596026e347ad85b9d829db3ff3d1646256f20c40301c29632ce9c63e
+
+A = -39379342dc473bc2253a217e53c19a3cc20760c592a1f5a17d8bfb07f043d5c5dd0e6de758cbe2e46cea56ea003ba810d4727f74be628cb4dc9e62f07
+B = -1f8ee483bf73f5ed9d92f35ab4db6af78b12eff98f791e14e6953e3bf60305c6784ea85ae5e6488136060914821a2430520672bfffb1656277ecc4839
+GCD = 6aa576478dd4b6de1396d6d98671416dc691e014eb9c4ea3b82f8156d62ed
+
+A = ce4b367a98405ffdaea338cf4dee7a788ba1e9a4dcd5a7c995b22d13e10122df5c2f2ee898d3071236805458776dd471bf6934cba95abc513e3e0ea16
+B = -7f47799ad47d1b75bb48b27cd1ed09306cbd4f6ec5c7eb8b47efe3437bbb7b37ab39647d4b6d845dd34742bd670298f0d8806351fee2aa5d0f3a5348a
+GCD = 55839b6e1fa2e5d1822c2c6abea819796114c49a8e92afadedff98a40d872
+
+A = -59fb45ebd96d6d0bca0c4f0210e610da3caba27549ed5c50645581ceccf4f90a1434f0fcfaf6b400ae4845a308a5e4fb96e5ebc6edb3f62028753bcc02
+B = -51c1740fc914d2d7d96f0c55c1ee0e7e38da7278192d881a2f90d195de6bdad5e0eeae228b5d9c42258578056d60f23b3e8e7990f2b1a5274f6b82c738
+GCD = c102712779abe5875d87989c42227eaa40ce3a655d2e1b74a861e386ea222
+
+A = -fd07da97787af8e0bd5357b8c1bc9b6500938676dc042c17e49ba6bcb9817adf585d0c27c63258445570a27bbba502159aa1f6d4426eca19437b6c9690
+B = 917e769f5623cf324ad65cb8a485ce6cdd0ecc20c34a648c5ece0e29d2e5bbebbf68eee9c296bf0db0c18fc355492444ff191d67e1a84d4b5011e856b8
+GCD = 16551e44fd07889edd641acaf2f58e41b986294b824c4da081bcf023374368
+
+A = -33230047b31359f319996c2f965e7da69781165ee2e40f7979638667d7e14300bf99587be531dd179f64fae8ad6236ac092ab3fe107333123d192c74ce0
+B = -39d8abd8a8c91ccae3a14f72c8ae7ceb3bb0da758c91218591355ed43ec705396c061313835d894835cde56ff585640abc3679ea7c48a30e5b8c9423dc0
+GCD = 319366f35ea031f160d10e41703842d4b1b2f30f77d7547309776514ba7420
+
+A = 6dd03d375ba683681a68c25983ced10c67f8733776d1673f0bb5c0714e08d73d7f21a43e132c78645635d9460cf7a499638f7c9278a6735578ff6c88aac
+B = -c102fc49e3fb9a65465d1fae91a65a229d69ebc93a0ca55b49fff91479c26dc39fe50fb1ea8796ee96168e480e12436b274141dfdff2a63356a0cead8b4
+GCD = 1992c8faa77e11bc09a5493918409c76be82e2a3996df8e5251aeed41b59284
+
+A = 3d6e324e5b758c2424aa866f50271e36804639a1a884e5c14dd173004c38645f0a1be7913ba7ee169ec2bfe72754e2117322c48f1099f4e24bb5cb85d9d5
+B = -1a705c545c832b21cea0127c7fcd785249198a2cb669a9e468b8b5ff0b377dcdfb79893c15aad2242ceb4e5fed856841a83a6560ea9d538b0734ee6180bf
+GCD = 3e905cae3294496daf38abef3b923bc6f30bd1b82ab8d297e20f15534658183
+
+A = -3e38036911fd781f5a293eedd1514a04b8fe0a6ea813b985e1f6cb9f67219ce4a3cbff8e2bdb1f935df6056ea96c33df84c5778d64854a0213873b7cff3
+B = 89b72141c05df7424e513e91d93b539cee0eff67bf0c05b3a6b54371da0d567dc2393188a9b8e8776626742dcf44a73417a3efb017b2227316a156040c2c
+GCD = 119694be1b1ed11e745519ad3eb9a31e8e43cbe3993694bf3484cd5bb6b5753
+
+A = 25a485b78c4e6e1d32a659bfc1bda781bedd0ea14d4d6eb07209d607fd201a3e4c4c25b7c51c952a7388d9970505d88af57f928bed5514558df57ac1beb98
+B = 4eaf58609eead03954b323a16475992264f38554c53732955cc90ff309ff12457734d27286860baa6db8f46655ee4f74fef2a165c2172cc8af4d9a36ad9bc
+GCD = 3dc164a3226224f1054be7b340dc0ab766f4ffe0599dc3ecd2d166fcc5998a4
+
+A = 1234ee006305884dc928662380b96d0c5160fe382fa352690e2abb7a08e37f3266f798c87e5d9aa8def77455a94eef3eb2782fbb5d0d1fe0d98025905ef18c
+B = -cbafe80eaa3830747013758d2eadef1fffdaa6844bd0e66cc979d9d8f3f1777f3faca83b65dc7d5c8ca6e055272aedf5e13fc9b8d6fa16212daa8d98cbcb4
+GCD = 7eb693c6019e37c403e4d9fe55f9c7ae5cb86bb5b4673d77de737c80a54c7bc
+
+A = -233de6f43625060b93a2d48feb30a546eb14ea5ce90154263d6639f89581a168e73917a82599b9aee74d58fc39ae0c282da264d0c6b57cd7b3d93488cc87c
+B = 16bb621a85eae0d1b0ef408ed92a5bafcc95a2ea7630f6084966fe5ab984db5b1183e5927cb29b23ecab67f6acdd5c66ad2527edbcf24ee533730ec4116bf7
+GCD = 26d23ea1d413dadc4423a65d9ebcb207693b94df7b5b758c24cd96c204549deb
+
+A = 128566a053ab6a683cf3bc0fcd20f44385371b0a2591ae058c8dad8192e75f688416e0b4620bf71ef9c6a43f5b0aa89f6d3b37a9a181a28281e2b07c4ea51b8
+B = bad8822127a17348713c442dc568cc85c1431ed23c49bca02f98c312c77d3a998d2cf45a0b30ccc8b17142af5ad31760ae42a3c059e1a76344da48b4ade410
+GCD = 46a3a91ebec75f0a3970ff30aa247dd643b62914ce4e525d5ca6258edace262a8
+
+A = -25d318f5848f8198babaa2fe7fca0888ba3f936ed2f97075788fce7e154009f97d0a4ea8ea91732d91689135d1b9fa83ed0e57ce2cc123d42d099ecf35e6b
+B = -41f01924b0f94baf431713ca686ea57580f8932dc6081fd8323b5bab63463e4b94f073fc6f6a6f6d41577fa051fb9f5ef77b4be4d4ee1570a1905f5cad8faf6
+GCD = 318895c677212a08ca1ac28d1c9f22cd29e9ba7e4340eefe75aac405fd55e96b
+
+A = cf9432ed1d56c3346452d47cbb36895ec7f98e132273efde7d8ec77b9ae65e912aba83c5b70af267802f2a23892515f2d0cebe11a917f712360c80f5aa7660
+B = -13b4dfc2d72e3421f78dc15ddf1ccc1533709122835c2b7cc8b964c168994479c05b9edf1b16e7fd618fbb18fd29c839da73d38063425085d1fdad07c8a66fc0
+GCD = 61b109e7eda91d2c9918c44af0f8d4e54710380d616c74962833ea2eb03707e0
+
+A = -342f13177b19497d300f7898e5f948dff17909738b3ef859019927fea1beeacb02659dca2c56a1a84d7da6e06b8f42cf02fd7e4d171024ef645a9e149d19ab98
+B = 3a5fece79f3b089d22b3274b334aa1b4eefa4d60c99cd318d0195edcf70b1ee35bb81780fc1f14fb14c5b1a7194fc59aa2573e6f43ab70af616e53e7bd9e5288
+GCD = 19ebc98e11cd27a6d0888f18db92f14d03046879152c8576db9190c0ac424fe48
+
+A = -ed0a6f4ef2b90ab306d67eea63c37df4136578e1df0b585fcbba0f2bf0b7229c7ac0d4fec4dc1ba1c57ef531a3d6aefebf56f2f610517e1bbd09088742af2e36
+B = f637bc9f8830331f6b1035c31f826f39e225931d8d19ae9838ac43223cc82d28e28a21c1d4e75a0c2648ffaf907d3a861af6f74d023ef0b11c6d843caed13d2
+GCD = 1d90604c1d3c66c15ddf83175c87117f94b89c4b96ad06c41baa3600f216914de
+
+A = -55433233cd172f9543d392f6084a5617f1e6498b27b96e33dbf33586704185f406bdb2ac18ecf5c3ee6f107705f0cb7d914176534fe6314be52d8a5258b861140
+B = 2a3af71b481d1c4a4512af6a6767d6d00fdb6d11656607b4f92c84302f31e6287ddfb27b174d6398f140cb5d72ce246cd5927c7e6bc5886e4e3499f22c8bd71c0
+GCD = c343e6fc91736ba7ce0f38137a88bdc4d6c7d9e3e16dbcfd694334aa6308a3240
+
+A = -ed0d31f14127fd4e513b60abe1d66f8c601e81b6833df01eff45c0fcee59729a567baaff29c7ed458a5129c7e3ceb00754d803d14f453a93981003a76eaf2364
+B = -1e70bc5636f0d9467a8b8d2c8d6622d392e2bc68b7a3d952cf6d6e1c12db51417895a74fe5e0121b7f1a17ce88d8edddf3e2a434957d90309b45a2204afe377f8
+GCD = 5b23d4a881b4eb3eabaceac2d70c7c98529c955139a644d92288393d254c3cef4
+
+A = -2ae4a14e32ec59b00ee2a645b23b5d6e3eaf4994a3d7d68b64b46990f1faf955f4104a232e5838149608714d08235af9b3fa3ed8bc9863128cde6add41aa9c0f98
+B = 12ecec8bf404396989fa79ed0dd79ca7be1fa690c45f3d293953983679a999ac65d5b3d772d2fcb5b7eeba295e70625b1ef6191e41de62762b55666b1693c042a3
+GCD = f0ec5d66cc8b6b10d77abb58fadffd6f4f8fbe58c7b3f84d1a8caee0bc4fbbf6d
+
+A = 10f919ffdd8dabf2e18cf94c14634a22ad0be7ad91185ffa6a9983239bb72469a4d52dfe8a278d55ec5d3f11ed57406cfbd4ca2c1ff00e33eb383d673dc4bcc07e2
+B = 1d85eda70abde996add633303e27fd13b0b7d48ff8d28d6b527cf153d51d60614df8376b5dffd26403673fdba09403e63f209b2fc8f56d39021b41fd37d493ee228
+GCD = 3c5c6d6d66aff1221b2fa18f184e66f26240384ecc991efa15ece2c23fc0c12896
+
+A = -5ac1bcf25121420198e74192cf1f9ac8bf2c14faaeb37767e44478b7040cd0f9de82e73e01528f3c9d476cb710df631421fcc9548472a82aa243d627bed7c33020
+B = -33328d1923438e9c87d743b081df5f24bf4eaa734ba5b69bbca0d5692e187227c81d5fe0450316e7bb8c435832a8c059f5ebd9afbfc36f3afe3998aa9f62d2e13ce
+GCD = 52bd829e4f57d204a7a737772c2abf0281aa225e898f00ddb0ea2cc0ccd2d89116
+
+A = -14af0bd5386a411301648f9d01d35b4de32464317ac13357f0ac26758a61972243e3a1c70bff08ed5853d23637f543412d39f1b327f61b8a0289154cf4efa0972442
+B = -107655a4273c37eb86fd7620ec60f8cde6b9480f0a9740d351ba2f910cffc5e5232135ddfdb3c64674a89a2a8412a2c72f54dceda4b2497f6a4e1da926dd4c357c16
+GCD = daa258591cbd5839c8894cf98d54ac67a9bc7333d8580bd2feed09430a11296176
+
+A = -4536875469edab4d446a96b93364a7b8d2c3251f254e84fa7f6a9734a50be79382eb024fe7d98816839015e352f489865f8c71f79eca212002c42e962b4de8e9f716
+B = -c1c7fc8c2109dc038548e2399b1a27e25506b1c4953af2bb65f814ab573968556f129cd2c1ad6902f3d6e585d7f8f20d3ae397ebebb030a1d151874bafb353e13ec
+GCD = d320551e0a6b177819c429ac6397069c86b8589b800f2ec9abb8e430285bc7c18e
+
+A = 3c9464bc9e40ab4557409cc04f4aabc99250560ca5daac03ce228e00ccafdef38133668c8582be2560b22afbae0b97b6a8300dccaeabde0e597d421a9482caab627e
+B = 1bfa56fa31149462a820b07201a08cce25b20dd47eca88743ae9236cd07f0a2d653e3532a89677e63e09225992c6eda1cbd40e79f7b07cf6af1179cbbee5e97f2f0c
+GCD = 1094c869a6360ec6b47c6686a025ddd07203f177a893ef777cb154232a696e869b6
+
+A = -17c57ad12e2e9e5d104bab65a762c40b18dcec99612a48f8095f1d103565f479193cd77fd84163ad34f8b4f05b25d8f16e1c55649dcb107cb6178e6c9427607d18d12
+B = 356cf097e12f11b755ad67c3c19f94e435c491b5e350cc7dcfd7f403c99bdae1326758d055dd5deab136c94e17e1dc7b5a475b94b1b300092ea22a80ce36dab1c7514
+GCD = 3f7cb5248e10cbdfdb6647aba7285153e5bdc9e20fe2126b7eedf6b0672ca8fbeaa
+
+A = -778be9de017539446aa522f00703ecc74580ed6b042dbb416a41c9439dc8f177f9123df209b6923fe527037224d87c71ddc8207ba9545adc5aa37c8e7bf4bb40b1451
+B = -992f46b1cd1dad22fdebf5f6b75b096184557cbec0b7f5fd8d90fa8df5a640dde3716992ed81b1c94f0e5fdabdba05684dd0e5b620e4c59ded9c03fcc0bf3e224a770
+GCD = 633c1ae79ec8d5c650b9bb565d4ad505137227435d3f7dd60af9c59771d5429cb95
+
+A = 1d41554a541fabd0fe241f3435891361328889288db187480550a06879add2a4206cc56604da97c5b913036a63728a5476442f433c13ce42718b7ce21c6c863d50aa44
+B = -3d48e135cd06710e8c69f9d249c6457bc584908caa66db4e9d07436f0add7cf0da0ad67abc797d75a37ac839df02ed321463d8c858d03bc69304f310c733cdc09d3358
+GCD = 11d4e55d0e81a25e81aa387d5f02d22d39462bb99bc8ab7943597bddc58317fd38ec
+
+A = -8455634c818f411dc3eb7bf027ea21569aad9e6552f06e308a4d8e9669bcdfd2feb2f914e1899f61fbaca8fe52aac80f414f7a21424770f1fdd0aca61961dd909579ce
+B = -fe5432f3c771084b065d03d5a5776dfadab0b2a3d1d180a0345feeda0d2fadb69a137dbcdd585ef41ecc805f12b6f9e936c983ea25ffd1c471520e14cfb48f85248191
+GCD = 1858ac7a7aa0b2e0423c0dd5f779223036b88c7234eb6a9148bc3032df4c599b8841
+
+A = 49dce9eadc368753b29478e1423b8638766749719bcc3898fb6ad0d8aee5d809e7f356d4132c821a0acdede2a563b5a9d5fdfd020e7f82fea2d875730250da3fb60b554
+B = 4975494eaa93eda843db7fb888a6f658100bd0287f3adfacbdeace982abd0ca337839693cc8a817259419828b12cf2540e93ca0731b1627e2dd97ae5c48a7b2b0f94488
+GCD = 630540195d9d523ccf24df7ff9b5010472f8aa8780d2c20cc922dcf4218265fc75a4
+
+A = -d29a3206fb085767882b99d6c6deda38573a7e2a0a800841c54d5d243976e4c6a9781c63f990c69b6563e4ca2bda91e3931dd40236eb7c9540c8b653190f6791696b0aa
+B = 591a8555617d8bfd3ae9ea04151ae1aa360c559d1b22e8a44dd95d14e4097e59cc0e83ae87ba67604e23ff6a64d9e1ee8e4aabd66caf439c4df1bd96c3bb7c49c242e3c
+GCD = 41fb8a80626b259f10881e242a7d605940ebdd903129e27b96e9576c07a42a27d5fa
+
+A = 3b22d53ff858ad776082cfd170ba82501a35559e76c93b47163fd711f96887b4d94227018ac32a308b99771dc50a93e1c19ae60bfdd611673051ad4ee6789130b67ea4f8
+B = -11d795c6ec29c5f6a0972d77bb5fde0e58fd873cd77634d993087ab5c4e83a5502ef9a2fd9cbf4eaae8670678e5a525b733de5e4ea8006a4d3deda080e00db946441628e
+GCD = 17eabfe8bdec99b627bbd1637687510c6023d2917406866a97e61734325ec94693f4e
+
+A = 3578809697b7f6299a80d653bce567f0ef848bbb70ce9815c821e3d544f81545759d2c662fb8c1d850c91e699caeeecc1d9d7e78969581e57dcd96bfe82ac3fbf2190de6
+B = -25ba0f690067e86d7202aef904198d02de63e42d02ea7bd188cff4ab5e056d4fe600fdc8c88bc1e8b3d69e5090d63dc6e513f7adafee6f104ac55a0a0e4316b663453330
+GCD = 387ce767fa14f3e1cd3930f25204f24fa21b5745a6bb6cb6a9636e3591032b47ea772
+
+A = -d6549891f812e60828ffc0b250872dc661b1a224ab49e0eacf8c00367bccbde5ba5d00c5234b11acdb69c68d1f2948dbed33b6a5bec4599fe66a895664c2fe857ec851c0
+B = 27d89e909c13696cecb65df364c885b6103116ec31efbaba0665caa55a1259d89e537bd04d13c8a5b51675360e208815770a64c66f1b635442fe5697ba797d6f9e943a1ca
+GCD = 4d226b68b283d0213ef9c111249b2aa21729b144426133d4cb485e94249eb3534ca82
+
+A = 106b5b5ae06abc4ff3e191af2eec18dafcd61170473dd3ee64d7b174995f7b6320244e4c82e198ddd8d483c6a5bb610b118182829fbf86ee78235a509f046012ab1d12ff55
+B = 143de6cfbbe172d7b759b282f28464b17766c0ac051b9c588b4bcd9ad170d462278eb3c6cf7e18168fb4c8be6c306ac8decc47e8768908d2dc9ba8a4822d0cb3ab8ca0fe74
+GCD = 686178e74ec3ab68dee87868674f5c2663f46d8ea0960d94c83eba3d7869786307709
+
+A = -38953f2c424f21b7b1984c7908938a9e685b2c123831fc7e7f595e99897792a038d0e1d94cd295ead895e7b5b69291737b9556692832c3536fa2b813122f2b3c9802428034
+B = -342220cdf13c19a40bb2afe4d0a1fcc4976f7ef8c6afd8a50ad15c4854918ae8dba140a71dac7236b791a384a6cdce134a71673a7318c91098322d9408178640bb01824bc9
+GCD = afdf4acbd31bc165bf194748ed48a76396f0934960385461fc2bd977285d7110d51a9
+
+A = 1605ec15abc0f79cb0d82636376b81cce7d6c4172c63e31421252d86785357bc6d123b188ced34a81d09bdb9aa452c47be44c2084f76f73d8f0b9e089216b22cf1c103bae0a
+B = -7cb17b1127fac1fe36218815cd2eab25c3176afe683fa13dc56b420848aeba8f1b6ef5f57af51a565edec386bfa53cdfb8d32e6e1bc56f14facf613e2fe6575b199848cd40
+GCD = 1a1ef87ee5b0610f6b31143911937f282f21e74b86bd683ebc25472159b34429708c7e
+
+A = -59e89e8f9891b5b7cf139132731b1db0442b52d9493b63069d8603a7e5e741fa8f2adb05541cece22eb18f2c1d85be92724d27025b5aeb123a9e108fde2dcbd42951416f68
+B = 42c27f07252745b4cee71ebe52c82c773660c57aa4a7bcbdab12ddd8977dec8b04be844abd52d1d5040668a09bd49ead568375f5ad66561c296f312aeb1a082d1fe1781787a
+GCD = 72cc170721f48c83e6e9108f7c1e0bc72cd81c8d44d5e63df148af05fdea8c74f0feee
+
+A = d90060ac81e621c82ffa2ce8096a025ee40604c4df2abe2be7fb5938186fcafff01bdc828a58c5a598e9f3dc9ca2ef5541dd5255d75d66f8c775aab103c7a371dec1b8c2c37
+B = -1b629538569d3329094c1ed857de81a530aba3362c786a39b7018163adc2dde5ff823886122c996810fce7724cbb5edbc3223ac30ed832be86dfe4f56228aee4f6af5674f2b
+GCD = 79ed2db901e029b59a15260c826e96a3e6c07faa31590c722848ba713fa67df8eebd55
+
+A = -31def5097f198ae2fb17a75dd5b950988f4ed2b83558f00f27b77eabe98f4cb47ecc3e7cccdf0fa2f05258bd2fd9795668ce55c16bb4308e958b24b6f101105a3e5903b41b4c
+B = 62aff5c234abe59794bf464e5f1d9c702f6e698f62791cf2e8332873914b3e8c70d3df026c9bac7e147014f5383e797797fed2bb8118f938af6fd96efda37bbe8b430475c6a
+GCD = 82276595ddd93168e0f0d92b58c0bd53e06f9034bca205a8a6698e118c56f81a4741e2
+
+A = 10c90516d3a36d85a2a603fcfbb355638b53bc469bf41be8793fe974b0e6271d78f3ef0b8794f064f0eb19afe52513eedc985555f22ea1810a64ff85fdbe89a303005daecd5e7
+B = -15966c787a26c08abca751dde8f86dad911a9700a98183f6660b6573404f5852a5f75c114f6f54552f22e010d1e10e99b7754c8527717b4c87a4b54194ac9d02281dd1f2f34a7
+GCD = 1f68f6e5c87a4feb57ad18c6a9ab9e115531ff878e0ad319c0b1061b5a83ad72af5af3f
+
+A = -456e43c4e3b371b8cd10d2d61ea9b858ac07b85688dd4c409833571433b9fe3b133a62557d30b9e9e2ece32e1a1b6bb615ffc2b310a39d454f1320eb816141662818d3bb385d9
+B = -195e597d6dd3140c1d5eedadc031e4527fef05a9c4f41a71dc656fd9fb856f7d0dd0608eb2449cb885b92040935914e779f44f53b375c659992098ea694e747cb15fba85d66a2
+GCD = 2333fa556572c692d6067ec6b77351b427bc9c0754fc34be2db86417857a23f61b5d9ad
+
+A = b29fe2ff288e931c6b8570a7941325c995a084949879d043d8eac1a57dbb08074595d88e837f4e190148897246e69fcd620fdd8ce7ca89a6afcaca0f7418bcc81eefbd8ba9b65
+B = -e7ba9a1f97460dbbdbe50d9dda776853413a651dfbcd9a0a90df597c4e5db4f1c10e85a79c0a1367fd3fabb217194d14f05acf1970e0a0f607e2d128bea59fd3101a6e276fd51
+GCD = 52ad4c875f1128b0e31ef13793b1bb376d27d0de470603e47ad89ccd08516e5b09a67c3d
+
+A = 18b7e4c476db1ef45552f206638cc6efeb96e06a3612489a2fa975bf7631fa742cb4f548b2c0e996bf08e4d499a2a73197b343f61ebf36298a5be42968170a03f94215b2057c03
+B = -2b1eed2ed3b6198516d72ffcf0174d5daa253fe449c2aa33ececf9e8d7ad403f1bb1cf04b16dc530b759714e27db09d4c261de4ccaab5d83852010d82c36759cb8cfab49065548
+GCD = 9739486102c6c7ae4627cc8767fdfc14625fa4a350ade34345badd58f428c5576585ce5
+
+A = 24d6c9b3c658ed9e3a2953b0777d57a37a6703608e4cb7e2c59f4c45ca287ef569b211dc30f96716cc3457b3694c6301228e2ac0f1149d3f2e403ec6bac420e8751a73c5786a3b
+B = ae7154e6dfd32233b96252bb8d9810a7e14f1f3c1e3db698e62e38b8651bc1b807e056992fdc8cb087d64cabf8b392ebc2456270b2763ee9508fe1bfef615388bb7cffe99f9fc7
+GCD = 9fda5651859f8b14f902014bd9041040735e20cdecd618e6a66ed2f23c807ce7c77d5d59
+
+A = 4e2cf679e064177b4f8efc7248721cfe252f76713fe0159f0ab7ef39b234813828e73db7152f146584b228befde8767e4daf6be8c45bb149e64dd8234ccaf1aea61438afd11ae48
+B = ed5e1783976dec850f3b89b74ac3ddda78c3eb0b641a79f93239055bdefd50e029041672c05ad4937fc32dd51544fa1857e0583081df6b66ded34714f6b1c9ee7d8935e084a610
+GCD = 19ec6b5e5a1c1cfe588bfca746cff330281a16f075bc4c9f1d95861029e62888775d54e48
+
+A = 69264575fc4ada8ef417a44d183203df0b6442292cbcf271f64f4d5a56f4072f6bd50b7ba7980012d4796fb39d5a07439d72770e51e9a3024db91324d3d28ef3546dfab1dbe2c38
+B = 1497ef81ee0e887945357bba106ce890fc2c38625abf569df597cc007c42355b09c0bf3883d3154b361729512ad36190fae3abb6bedd6a35593361e86df5920bbd05d43e234bdc58
+GCD = 3e773f31925e4666610e6b4ead5785dd553087e026d4d7c3cdf9058b0cdfceb517afd6a08
+
+A = 31bba84b6ad2237c6f9d6280b7eedf4b5c6befb50ece2d68450c31bb156d593ca18b590ac1c6a996f2484ba62b550d0b1d563d198b6f0e8ad2ab9a5c314efbee4af0d8316c596d4e
+B = 2dee795da75d4db6484796d216fb2ba8197af0f96c80a36770d276ab8daace5946c98ef4a6fb882fa8dd2617c9d3e5766806fde07d9f7645f5eef49b1d166462075d7e197154b2ea
+GCD = 11dc4efe9ee2878d33758b97bc7aa0438663845ebd0a0fd4b1818a799738f0996a94d14ce
+
+A = -78d4623ca18af4dc1f6afeae38d1aefabb7fe9c84ba39fdb8680f725f7f49f69474f1cf71e5683caaffbdbf66ddb66b466362fda1b2f6b64d66046db74c66e1f7a56903eda04a
+B = 9180b6d5c24de225d67ac5949fb455a3a7504a6580eee29073b5883f367d65b957cb243b16b895e9385e5c2c358d0033183a28e5a5fd0f32c3a2eaaffe2108091c92e459bc503202
+GCD = 2441223b7eb40dc44ba1a8214975a8ca21bc2c4062ba735c16ded0da63a9d32102a42c5e6
+
+A = -403ae86522f35dc86e1dca273050020218973d142aeba3e3750535b10316de44e0c61d52eafb09b2f5532259e0fc82343af8df47ff8808ce9de34fc991dea7fc095e894870897e2e7
+B = 28eb27d3a7694a1ad53027196c2f8c9b26963abf519594d29e8f2d275a63f62a0272fd3b46bc5cb3687b8f2c9b93a32aaf0542b6c9168e3b529813b80ca4ac6f0c65479a29d7afb86
+GCD = 363c1cb90394407209515643a2818d01942903e813a0b73636139f70eadff472e14a4e22f
+
+A = 1bc6517483e57e92a1375f55ec93afe6e0b3294c7aa7f57505adb31a2f40ae373dc35b2c5f0e7c3bc44e0ba2d5c8f76a677731a18eff1552cbefd2897d4c2bf65801040d12f00ec78
+B = -e2bcb37b05602612b3756a880aae851ba32ca2b0043c9da2a1175961a41fd72acfee03aefa6ae78e67dfb210ca8f80dbaa534819e69cdaa411244cf7883f6c42275f2b501d2de9bb0
+GCD = 69eb60f28fe604e4eea78fc93783ac0969b79491a88fd943b66c287abb603d0413df43a08
+
+A = -69399414e0ee4338b76b928f0c52ce6e10f3ab65d06bcec7f0acbd8da301e7e11b2e8b3ee3d3e19542f870b2d91d329fa994ac807dbb43c06a498da0860dea4f3e84c192d5eb3a7c1
+B = 19789e9dce980e04c6d488b244c9183303ff3a0161c3ea01fadcaaf1b42bc2c0c2d4e0dc159e79122f78846b2a3d4070b137c47894bf212ce8988b6cd194bff55d624a3cfcca3aa04c
+GCD = 8929efec553396a106734507b3e27b8b66292b99ef47f0b0a629cedc017161bf2af037357
+
+A = -d3486b411b02d1f803551cca36a013d042a85817b45e1a519e6d790ffe47d1ff70ac54bf64249753f43095daaf72b883b22151c0ce5ec357dc250696723b12e1db2eee8faf492756
+B = -ea5e62401b2c8e77809561599482781e46caf4fe210ac6930ecf06604c8d78b414b360a56e46885ca120e3367e5dd6141f99c82073e8e891efc981d1707bdeeafd51befdca0fc92a5c
+GCD = 1f6ee8a486bf730f08fcb731b914ce4aff1b1ab0f14c3220bd00d8c6eed200849a9a6b892a
+
+A = 3740de51a460599bee0b5bd1ab5f00f21518c5fbed4a944aeeebad8a009386d1f332d015279cc227cd5f6eb0bdc8212ef7ddb41d1de040045355a8055698fd38202df929c5260c35f98
+B = -4a05929c085e16e541172c7e9eb1305b0dc76b7a78d0cea6e1f197820ec95d86cdb3c5b5a618b25f49bca20d4110b8354458bbb5c9c7aad17f49e28642f164b21c8fea27b1a23a0d8a8
+GCD = 21571c25c9007d247a2399cf87685253f187f893e1e56f62051aae733ef94788646899ed2a8
+
+A = -bc00c7e60987956be2f4c0db81741c6b33b1f090fa6d71f5f7ea6c7b824dfbc593b49c4ecd591674f44dce089f88201fdd3fda245d9660a44d0fbc922a7835fb27ffc180dec627b346
+B = -d28463ced2d827daf64ac95089b8fc3ca77faf518caef4184b00ecaed0a8c7565878dc7b7d387d7bfbb05ba26fb490c1d4ec0722495902397154d70a781b260592f250540effdc580b2
+GCD = a6b23c0c78493c4857b545d108b4e4153bdb8ff3818d2e7a9834bce524b2ede915a34880ae
+
+A = 40e97bd2794adaaaf96a77778431c80e985435a91dfaa9557fbceb0d2aa568cbbed449b7fe79b38136b5b31d18458b7482c6ec23f769e449eed2a345ae021b0c34ad395bcca2b528161e
+B = d7ce46d5d72a65971a16cbe0ccb42d1536f4e3e9efc04b4b97c8f768d851ace6736e823883229d12b950a58dccf683f2b4f28b991b087d871c5376c174dc30c3296fe3f05e83bd319e7
+GCD = 8ad57139fe71fc8bd3439740470384139be69b6b621ef861541dea10b368a090f001c1c644d
+
+A = 6cb8b8188dbb02f95a65ce042372a64840c736844854466561c0045b0a1e88695f91ee0900fdce0ea24ea7e26897d39d3a001d182b3385da3af36776c14be39d760e0ae5a8f64af1c7b4
+B = -c31ce19e99f40db83fa040b6ae7e98e23ea6651dd61c0c870e35f500a55e7fece074247278c18c9b90cf22d89d7a75d4d2923c20768cedee77514f65976aa9ad37d75db50a5bc6d2c590
+GCD = 19b168b34ccd1e8e0112bb72937bd092d03feec245f528873859b336fe42b4973e1f5532294
+
+A = -8f8894864cddf9c384e42b49a9723957939b3fe54e58a01ebb1b0dd5f8c008c6bb7fd007cff320b06efe407b2b77aed4fd31958e256148d702223e1358467c2658e9e35f00a040c411a
+B = -725787378b623a53fbdb5663ab22eb7b5ad93786361764dec8eff6062af2c74119fc22571b84e88320833aa20d81b3b123a16307d0ffe82ddae681623e4d3c4b950245266cef4b00dd658
+GCD = 7ca9ba977fd596140f91a1b8178d09282db3e7afb245c67f6cfcd44c5343b13fa2d5a2b16fe
+
+A = -135672c5a4985052d791db7a517fb9491029eb60d508e8c0bd3e58a440c0de93c79707661399ccc1456edb39fff5ef10f2f0dd2beb4b9bb68a9b20bf5681029b2a63f4117fb4b474fdf3f3
+B = -18063bde118d96bcc66c868a6f03ba8693fe4509b5a13763f7e6d4b818fbc87b33a7c61e81057b79aa0f8fe128c2a2e44930f94751e6726734edda325c3b87c046bd8f7fde4d99d37f6f05
+GCD = 66159313e37208c2d8372616fc7d259ff7d79e9f429c7b41eeccf1197f0c0e6c9240ad734d1
+
+A = -90443b2a7fffaeede1f05e7fe350a3b356817b2b8dd887ee1268957c9cfe522543a6d7b84796cb1cf788e8681199d53ad8b611ddbe6605ec6e9730437dda752c2fe8d32340fe874f2a025
+B = 1bcb30b58f1d36e171eaa83f225c94e10d04758fd1d56aeda422cf97ac45a86d30fe0d4328e27db59c8ed619e49a9393214f63939214592994c815074530899416d89f25d624379cd569cd
+GCD = 99ef70d3c6705f8844886bbb12581b26028835e0fc63d9106238b9c278754773b3b12412b9f
+
+A = -338ceb3926a560bb0265fc4dd4f4e31c23e83fa9239960f108fc7a5c677094a79e43a7343701fbfa025cb0057bb0a6e0b4c96ce608eb88a4cd2c8683dc03aee23856404ecb587b87d7a864
+B = 11950e1b6fbce7740da6cb5e1fdbd85ba2f94c18d261b777684097271d03c23cab39924364aaedc22552cce8874b81ab52556f8702a6d1f45f102d3e936d58be7fa12c383abffbbfd98b1f6
+GCD = 17549b5b5b2e3a5956149c2872289c5a43f65005286243c38050c5e3cecf8e0b5f1ecadeaea2
+
+A = 56d7cc72cb3c8e9485ed8aecb28e4e8aadbe2b2442de843be1ed980b7f953bd3c6ab87b13332ad4f0ebfcefb2c4776164c837c5201e903022b3ea1b8f9cd4db69d2c6d478f8e61ac98018e4
+B = -69087128431493852b271b64c2d13f7d50d3596c5956baa739e9825f9d0a81a7d99012b37c93be3e8e9334243d95cf36c4351a99394385923169778c1a188d9ac933353b976e17b19e52c18
+GCD = 6cc0dfbcf02887a74126d85ee735bd56fcdcb7ce1f663403b053f1a0bad7f45cba33062174dc
+
+A = -103763b67d15ee7896b2db89aeabce477e6044f79529d3852a8fb9957e7bb894a7ce7f593c2ef0b9918a61fe9cd199c21c7407968d1dc06b9f2eb4197054a14e8d372469521a586d91ad99ac
+B = -3094b56ff3c61403ac076c43fba6557cf17587a3b72a791e24c45043106b3717cc3f749984d4fdd1e113708d46ad1bf981c7059234533b488af256ad776e39699749a8a7119f4e8140ecace
+GCD = 441c03015ce9539b64fd41f34bfa2079909da3db36aa2325b7ad0ae871090326aae811839c12
+
+A = -788f815e412fa104b7777a33e6d2cfa9e4cb1958a709773a2e26a7547cce23622c59c2e02a3f93e56de3b0afe919e915c90e75c1498f8af2a468f562352bce10636f15ad2120149668826e50
+B = 2e4c1c8d63e691dd07efd9140354f4902460ca0aa0cff7d92f0a63305c84acbdf07a1692984c36027c105036baeb11a2871e9ddb6b68c96f8700d61fcca17401cc0ea1f71cb5e4fd9fc7f1b8
+GCD = fc40e59bc22676ec833cd8f0eba4d773ab37e2b11783b55a28b5ff82f6e3e0246437f8109b08
+
+A = 61fc055c5d2e60711e7bbd4e442b4808bd66a3879b7df2cc8e3cbb9152adfab493fb0e5027ecf80e3b9f1bf11321fc68790687a3215fa5f682dbb395e0d28d089debf364c6a48fc0a53040f0
+B = 10e7df4e9f571537b99b2864e3a4339db511dabb69ce51e145848c8e19901a6bfd66d630e95b35a61498834e6edc971b9248991af9cd631f565f87d404fb39f8f6f8205db5fbb3b1c0c52833a
+GCD = 27b6a7061e47e45c2c9c0d18c641ddcf19e625ca774c32b95f19f1e456671aa32071cd904400a
+
+A = 1345294cc9fbed6be364e3c3df8851525a3f6bf045ad171db5e5013b89316d6ee7cdf7904646a7b1d24a6863cdd8e950ec7921f8bde3cb19a4fe52e255c2dd393e6df85558ccfe0be4fe0d380
+B = -5c9e0c9554026913389e75f4af6e8a558c4dcea26c19259af1d2d3b078d2e13e201dd85e376ed3665968c7e14ee0da002748bcd3a35f90236ec5b03024cb8e5b3c5107a62f6b18ce75ce64e8
+GCD = 281a89a0f3702ca93b9fd0ff34c08ef5e223761f5726ea5a827e952c6b6c316034c73b5f30688
+
+A = -4e380e77843ff046af1827015ddbf0b9b7bced42f76ec51ffb577715796891ae48fefd930770e3296421dd4ea4750405b92fb8ec3e606c24bd0e027af8775eb3333efcef768cd7594ca30d11a
+B = -fd594abb8ae3fc4fcf752f00a37016b10702b1ace227618c2b340ec2086cea3af35998ecb34960979ef0664241e5c770b256f45f5e4c429b6f14870b519c434b320765786993b40014680c4a
+GCD = 191733c89832c80a8bd46d347a791eb92837687275240f3e7a2062c44d1fa03ea61a41cddc7dd26
+
+A = -3f24c254338adfda1572ca89ad02a4d5082065ee4b592d3cf24e65c629b4f69e4a78becf76fda65c30c698f036844858ac120b6776973098fdcb880cd27e61cd9559f33b8119bc6eb691056572
+B = -3c3e5d7f9365f1fbc3bd8a0fa171d4ee063d9549c87a2a8bbae955f47bcd1b827a3018e4cb2f0934fa69ed2dad1a4f1ad418c4debb83ed06ac05093c3d5162bdec27411cc2aab89427190aaaf4
+GCD = 17472f7b577d2b479c4386e989954799d40f2dda8c54f325577a538f56f09d4ce2ca9e53c0056e
+
+A = a55de776b8a4fc34369c6ef0c233417a94a2b2e0cad9a06e6665ef8ad71e812b59890465ea01b4e927f4f4c458012b6a1e7b89a2b6f5ba8716d22547b037c34cdb4471b9d4d20128b3fea7372e
+B = -c9f04eb588b439724755d71e95848bc19d7e8ea74c4435d0df8333e61647bc140411124298ad492251a696c66ca9339ef2b1a468e3890cb2c5658c7d7fb34cf493669da6421511810986814007
+GCD = 1c54b2e93095e58d1cfffa70e44e6b2e74ad05be158d15285a1f1c6c17fa1010751187181b9ce7
+
+A = -1d941aee517603203dff6d2dfd94e780a1e7c512e41ec7f8b352202ed9c9640416a674a503fe4b4142713a1af14b84f788446bd10caa806b113bcdf7f14982eed3bbc488c0c42a3989e60214552
+B = 2797b8fc55a53a57744818b388ed03a25068c59e63bf93ec0ebae9b314da45176b0324f83ba06406b8a52dea524f24af3b143cb63131f00d0953191307747ac0028c913e47db0fc5a44af9fda88
+GCD = 1418144a5fde082869dbcb7f8e9e22260ba6432f7affa18511c0b5d038553eed8e25941e8608702
+
+A = -23e07e809c4c21ed1fe202b63374a9ca956275342c41fa248c9dd0bf5af47bc0cfd05890ce47a62535c2cb9d68a3c3d7c6e9f128577a84772d5f4b86bd5e6c76e37f015274199d5d86bc5a218ea
+B = 9255011de765f911a770063cfcdbcb83e6b15dcac04dd968f202af1ff336d349e6874c62174f485c089141a19372ca5cb5e8dc53fba277585c6b39086026b518ccd1288a79b56356ae6b67abca2
+GCD = 49e0b0dcb47cf633e886acbc61368ee07c12667911482a690a58dec15437dd6a3caff7db87f38e
+
+A = -2e489e90c13b94aa5eb371262c5a06540cb4bca27cf63d09fd97e4519abd2f2fc25faaae09b72a63f7f0330d57d56128a6bf80caf19b39420021312c7f4a62bdee7652e32c988c65274dbded0b56
+B = -2eda51c1af53551bc8e193fed6b71e4fe4519374a41462c69ed028ca3c1f3a6bd72985309c8c3345daab6963fe53c595d4595c8938c30cadb2af8e76620fe03a1a0f798f285bbea9409f81e6ed2a
+GCD = 833ad34d73b58fabd1cda79f8e69985813e7124624f6da07d7f097e9991e30a6577a0f94946572
+
+A = 7098c102905e6d3617ffcdcfb5c0111b6bbf93eb5783c2a2967a104a4ef6f588534a087453e951586698561f808c2a960046790c98d3585d17679d062edc268878fd4be3eb39a9f414d7692a7f62
+B = 7e4fc8be44ae742fb209e5b571eb0df24cc19127c3d3e305e521b4c978173e029bce150cd0d1f4ded031d9529c96fb0a2c74dffe860b9a1a5ca63c1d350ac74c92f2bd29107d1364f689084979cc
+GCD = 1a7544fd32ca4e50f95accfcd4c5fc186148468f9ae08350cff879212e38fffcbd31c417c9f554e
+
+A = -4021a5a13bacf5e5ccc79246591842a5004137a35c628f92fd98ed897ac12437161c6ecfd0a2ded65cbef3c4582d8ef42d7c2770c469c471148ed6f8697ba066d336baa601d4e9364d032ff1c3d7
+B = -fe3b70405122ebe7c0d36b4467267d9c0deb5e20dfd20f7db8bed22f2eb8dacd126bc2cd659809c7a706996afbd2d7b2b6a47c461283207a1600cb5c65a942ae84d0fb97609c8753269fd2e20d9c
+GCD = 2bd4d226bf431f5bfc6b20c29b12ac95a7715dc2586e12741b09ec6fea7a804b7400428425cb081
+
+A = -1e5ad39c2fe0213b64aefcb9013bd016f6ce29c275551cb5c377e062c1acc028735a4e69533e4a181b2fb0832e6ce3f73ab135508407122c011fb0188bad8e53b6140171ecb6731c59007c220e504
+B = 18e26e1413d9e67d3ffc44105934505594dd24d270ada1241b0e87ce5bff863a933cd8651ef2cfb773b08b3ada61c6284185e2ca90a7c24e68acbebc6762b6a59bc4daf10eb2ece7e290e6cdb46ce4
+GCD = 4dec65efd6ed794607e938993be3e565de2467e27e1aa37bafe6b24706819fcc593d7b498d50056c
+
+A = -d9680dcb15ff468668b48e7481752bc62e8457c3b87b015a43385607e4df8da6f4daa9ebbe6f77a4368c573926711d03e4d47573c723b229846770e9fda80b0a9b85ad808df2e0f06c345d1ef5d48
+B = -6b57e3763945ea2bbc1bc6a73de734b2cdf24746f69d1573afe6e2666e3ee9cb2441e758218a293d6ecf8e118c756fd545dc0487dc4efa4bb898edbddcd9ec679bbed32091233aae2b35640b1dcfc8
+GCD = e0dc97a11a3756147ba6dc755d50eda8f840730bbd6a00ef7749f2161311ab6632246fbde9cd8c8
+
+A = 978b52b96d783786f63d70c106da9ceecc8e56a326fbec2233d81897d4a0a691a3080d3167ab28002e23ab0795b50a234022ddbff1b3a4e60771c3304fec2bf39cbc185e1f2c07ca94d75f8964f23a
+B = 647b8a1791c509803c1ff63c3e78b5e52a785e451f212913e0b11a9627269e51ea95d0305aa176fe87d1132a35629e96105239a0f45956e58b6a40c5d8d1f7a3bab1b8a05d79d1e4252b68ac9a92a5
+GCD = 103692e2d6d62a6c452c95d6067daaa56dad15ffa2765d315a25a3f255322645aed4a89e9dafbedd
+
+A = c1f0ed4d9b13f63078250707fac8cc061f4d36d2a0e9010d84a0d894c109cefd3cbb3a50a30591656bf4db45f7c092e2d476bdd90bdfec3dfd6fbc089101ff7ecd788b57b8745ebbb80934362398f8
+B = -5781976db214c35cddcc93f4db0a7e614c7e90abfb21951849d417cbf4c16987af67cffab64c49ee1a730603f2bc90867391a7ea8ac9fee952550a07166e82168b7356b1a91074bc807ff0a06228598
+GCD = 2850a44ca85bf7de4ff3bdc347cef8bdca67b1e6853d0b70775e9906ef3cfd994a7bc8a9f42d90a08
+
+A = -13fd588777d7f39a082fc06387247ee9470028d4cdadd30885a5ba06bd871668dbe721e5524b3e68e2ec9760802c761e8bc75cba874ed1ddaaf894f8717f4e5b4a47f44ec75bee217383babaf449bd54
+B = -1818e3197077ac329b3b4d53cd98bc99fcb9d4db55fb0bd4798b269109efddace54b3b61deb4fee0b6e7a0b685887cbfe1b1b454a35f66e48d992d906bcb4a3a18387ac3cbf427b6f83bdc5db216f90c
+GCD = 639de7eb76ec99a9c4b8adf0127695d9df7516637aaf83ecd126336576ac5e4889b8fad1b79865d4
+
+A = -78960d274f09db4bb879808c9b1fbaa58684b1aa0e9d73269396301bb2e1d2c8d195189ada3c35245660b78307c2e7e76787298e950412025357dda00bcd92f4bbb22d61374a0800fcb66e134e41109b
+B = -42df0fb0c28989372a84c67fe9220fdc7752cabc7f122d00acb33e34397c5c8ca1d1770511eb656ebeb395e1cd75df1b081d68e37017ef8ee1a55a317f40fcfc17250af1e2c8ceaad708d51bfa6eb3c0
+GCD = fc7e31d2c798cddb8bcc46e3fed48726f9637ab7cf71f3dbe5fa011faa776de1728e734c6ff06ab5
+
+A = eadb5e642afe41b70e79397fa90c5bbad4d47b1b0c2f146e5c7f672a71ac03ba06e63b53ceab5d658b2e18475c3cdaf68549321f3f4a1331448ce37af78badd96d201be6474eebebf6ec6852cffb5155
+B = c0576ff2f7ab73ff8c6dbccc99c376a54f88b7079fcdf1769fc03fc3394b5bfdecd694fd954d106a0acc951da806750a0f945d64fb8a3e47e04d4d8813ceeaeb97fc93a9759f2461a4ef83c5bed48c60
+GCD = 12f40d90f061dc0b573379b2645195438691859a12a18f1245a6071b8f3af1d3fd96656ba4558d7c7
+
+A = -226cce11f9e926a3560df7438288bbe56bad54f8c91c8578f292288e586dd315829b5b54d58a621044c43fb34cd999ad12e95eaa457bcd3de9884d5c67ca18c18f1c0f17e9d9aacf5e29a9cb807707dce
+B = 140150b54a03a165580a780f40f6b34b1b0dcc14016f16253483e273d43234f5bdfd4de155b61d5f992b6e72d4f451f6bb8fe4e3e51ae9a7161fcd455633a4fa6613eabcba1338fe721b5dd8dd656146b
+GCD = 2ca53db42218d527d2b256a13f734424180bc120b06a978c4bea6f46e532da58e5cb10d359a311c5f
+
+A = -13f64964fe8710a8b1200b25c7c91a11de2cad78d7004eb47a2f2a83a832c775815051d7e442a0cb9bb0c16722f1450f47b8d6699595d49f626947665cfbeea0e97bd6e378ffc9eb9e6f32edcc562168f0
+B = -14da89e7867acf9673b8b0f9e4982c24945e93f82e02c9f02845b3b7c231291c6bd468d0d9bd18425daf69783cbcd762a054e7b2a07a06cb23f694e4f73bef316c6c9b620c5491d1e6807ad067e0d7b460
+GCD = 1d7a7e2efcafacb56a38f5b83ecf79419382459d23c7f1c601fdd8c89e36c044d0a8a825462c774ad0
+
+A = 32ec6c7cb15c2c24996376dd7f005757845b7882f93700f4b60fb423f6022bfdf7986378a458f7eefbbcd59e83849ae5b7764920516df54092a50e2a8040db9837bfc81aca0922b9709d7358213d94a2a8
+B = 15250ee8d63a714d7a18b67cb7c697c803f29e558ce309c07f29ea81507d5edf626dc8e524bf95a1ab118607bd6829d51319641f6d5544707a7645e17939b5648b72e292710c8b7ab63de32779649b30c8
+GCD = ae15fca840483a5e2680a2bdab52c5551e07e6803e8bd21e69feae3118d98765fac45614bf6844d38
+
+A = -1bc676af24215c24fcf65a803d9ee7db799bb9ea986b490c566ca37e1eb5387ddc6cd627e3a72bb23b9e36ad0e6e37a2b6a6d2aacb7391dfea03d3f2426b6cb868be5e03129f0a6423b0328513b8efe9ce5
+B = -17e1c103ea6ba8d089ca3eadd8aafc7c56d002efee3cfc9442db35429e9f2c25625e381de4fd702598acc914d7ec09f295777432352669dbc47a16fd1464ef0a4b2513437c15f9cce07ba4ef0097cf2d2d1
+GCD = 1f21d55c828a2da90a051ca3899c4dfafa8b7c5af6f45daa6d66d5de4e9571012bfe48327395a9574d
+
+A = -50c5f53a340d0cf0c6a756edb7031dd078f670dde2cd8c2fa7218411b171dc23c99cd26bee86217c8605f5fd719ead965c44ac82d1c3deea21d4594f5d48f8674511663fe2a583b42048e701f250b67d6b5
+B = 50cd63208a37ab931b026b3936e798a0bdf51c4c45dcfaa45131b5879973378be2e73c1e1b8a83aef6abee3ea625c25580745e06ddcf8555fe5640193390f62bbe983d02f0748df876daee08085fe1340
+GCD = 29140f139d73cdd7619651eec490d53274ea6e286ca33965439498ece6c2f4796b89041888fc3d49c9
+
+A = 2a225454569c2a65fddba6a46568c8d54ee9c0054e64f1017e42778d131065f429e95badd768ae2d91388afd42ea895607a46c1a18099e7a519a1994d3836ebe0b3d12756c4010fd4903ebd51e4e510f524
+B = 1996542d731b9d6a43c6ff3ce16222c1d2e9e92237adcde1d9296f9a5afbe60bcca76440aab4f6eeb07000be404c89e04ca886d98d3a6a24ba0d02525ff50e1a417b6c2b7593dd636e97b815e7a3d2eff48
+GCD = 48e8a312834ce64f1222121f2c328a2509ac7deef7cea90ca33a973706879b918ea6e624c0c2922c84
+
+A = -50ce10f99532af3a053fac575332a2bdb6d5eb4bcc2714086dfa16e1454d962d67f42aa246fb1bc87bd7185665dbda684edb7725c88594a35bbc8b9933af1444be0f89af522b3ccf462e3c14d4e3b1b40128
+B = -5148e5df93a268567c8fc1468df7fbe5c176d43c6285beccd951874f6174be2058b5aa1cdc320e73b21ef19f8288462f1f6048ad59c595fd303b047a576cf116898c348bb17b1e081d199c623c4149013288
+GCD = 63e748b95b57641f7b366a1aeb3c0c8227fbced13124e3691508002c5a330d4e3eb918423d958eb1b58
+
+A = -1887ca50d93b18fca7faafe3bc608bb16917d9fed22b6639d652077110e7f87c2078cc4872bb8ff733471c2d59e3405bae30dd708158136c975909b6788615463f693aba2fbb1210f09f960091a26a4fde9f0
+B = -16ed78ecb8cb39d464236898f59c11041fe03498ff62812d89f3a90aeb7e6b8ea964870edb2c8e100d617b6aa60e43047e0540328434c17e6d48e66a6d7733415a65582c09d698d098592ed467764a02bbf68
+GCD = 187027b5115f86bfbd58b347f503668c57b79c2a22fea9473d226cba9d068a49d4410f8a584f5dd7a538
+
+A = 4640ef1fc83020f18f2825fc867ffb1fc867dcfad4c48ab18baf8528cd170b7a0189a47c11595c586a28119322663a800062a111cc74ef0402ac877ed6d81cca6025e70c883dbf4bb79209b96eb70707e131
+B = 2a6fd447d5bd8d2a79b3c5f3b252a33fbe98d03e64abafa267c7f30d95f8514cb1d3376665a6ebc857c93ff908d77dcd808e0047f26679fbc6694c8b499111275ec220b8a64add0be99a732c5d5b260ef52a5
+GCD = 296d18aa966f3a7229fad11f7b51498e1a132cfcc4b0a6b1b126d9b1f1ec951733194a152903e02018f7
+
+A = -f18f6ff8edddb59fa3a869acca127c178db9ab6f7bf77d9216aee839677f650f0f914d989c5b53b0d8fa847a9a25e735e26b9a296357175e11f002fb4bbb187167c480fbf5cc81c83bb3e73847413c0ce2340
+B = -1cdcd72ba6f09cda94d94dd11ce0532ab0a50f4616cf91dc56a0bd4e0c5b3420502d298280b96538c09cfc31102cf63f3ad0ebd11eb7b988578f02e8e38aa949adc3a5b275e6410e65c518e1754e04012a0780
+GCD = 2c3190c99d7c600b14e0b40fe80022b60eee0c4a5cac6076b75dc3f9e05d08262855d639de8d58823f40
+
+A = 43508082b6063dc0949ecfc827e5f1ddfeaf76dc2a30fe78561f626e2b6c5f255f69c0a1ff3a147caa39e13bc7e00c89fa36dd2f2b5d51ae10e0816fe36a4cb52d2c42c9c94c28a41045e8c1dbcc19be43a847
+B = a168064ca805c2a9c40c319a37d3de8ecbceb6fd65b76b07c8f0f6be01ceab562d1b955ff71d970d14eb481d95d47ca15d683d571cbeb879f144dc67f4a5f734819674b865241243ecfa7f7a5684f3f36450d
+GCD = b36f69d05297b4731f358351f454766949673f187412905c5b5c5dd209d486edc28c6ab79d6370df4c1
+
+A = -3ec96f1259941cc385c5fd71f985d286d0e4cbeef00a35e25e8539ff9a342875a7b5de194dde0250db4646cb047735f4d457941c46784874c819ae6d3c9bd233d95f49029f95018eef2d53eebec7a9213b2046
+B = -bb7af1519143cb6cf9dfa8b2b52ef16a206e601d4da82b3ac4760a024e84c42b9d6701a27a214a3f187cfc2019b9706448448409cc154b15920fdd58786cfa8f8e17eb6c38b945b50b224e709b2289f0e55c3e
+GCD = 1457ff49cbea3136c7f2efd1e2ceb09a9105926445056b6f99cc3fb7d21c2e41a484b14a339f67993bc6
+
+A = -1055549b0e3a4fd6ed34016975fcc47624a0fcbaed6aa0f4941ec986f6ab070dd3e3440c16a701112690f1340013009870df312c0b128ec28f36581fbc9e7eafadcb768697c19022cc3cc41f00a4a01efc865c8
+B = -1576f648cbe4a93dce7d937bea3bd736b11a15413203d2fb8446aa66511314b60a481c69372765a82165475bc1c83c696c6d3f63d41702bc49a318f2d6403213f3c4d4b4ce6f7a7a312611f30aaebb5706bdff0
+GCD = 44a26f9cd9e7421a16c13c1c145e430807d61f1b6eca9ed9892e2de522206e0cc29569384579a0e43418
+
+A = -fa26b98cd90e24b492840b0b5a227257f4f68435f27005f1dfcf22c8cb7f745425975a72e70825cea71699ae7b7775363b79eab1e1d683fb08a8fc81918e9d23c19a23d8fa4e6cdb582f1d85594f8961fc6158d
+B = -125c47be35e7658ab5e106d490029e90f6e568884014b8ccd8ec3f4eb9318ad209cd831276f04f4e6207934ec711016f673e59450b1f7e1c40b6eedd6abd844cb23b8ee4ff70a25463e874251344d2fc572a4b76
+GCD = 7114d898bd8f5f5b724be1efa2a9bcf951d7d15f7c38550fec2663a44635b171104e7841c1732cad480f
+
+A = -5aabb4f5524a2bd63cfebef7917efce47c02926a3f16ce7e02f9c8d606042ff26c9a751d11dde633698280469861f10411316c6428be89964a658dcfab6e57f14aac3544a2048d59a10ea89d183a4275e10bd0c4
+B = ca3ca786433c7e257bcee88493d570d49914d4bf81ea7646a4e1654c227dd116b2529ac8f1b36a4dd9aeab9488c5a266fa0bf9ff071231eb56406d2d588554c73aa684c2dc5ce8c02a0bdb3f050c513d9e4e98c
+GCD = c37a5a32e0dff74d5c5d94b89116895602792874c4b58d35d68cd1fcbe5d902f901bbc32d906b4fa469c
+
+A = 1052c535699a8624e26791242d0cc8ccf1242a9aff9a065365e675e3b979dc68f5cc7dc172a7b0f332a5e4fd9f1660561747127ffe9ae0f25cd03e44c665b2de821558a230a51bfa6083d8e0c49fee7d47726ed8c
+B = 91d3b5cfd9585d0933a58076cd2b0d8e628ea9f74508e304d8de2c214dd955d41a993032ce8773b7c41f3d3437b60dd5f3ef5d6daaddc417754e2c3f5aa1f27ebf05ba1a8a4743e7a7d0e12c65505a0ef7d944de
+GCD = 20c78a9cd1bd03685b180c1a990c01c5b80af2e3e6ed35a05f3360f72f52c16dce7c9da43e6389e473556
+
+A = 5350062a99c4277f68e2b28a27679fcd01aab0365ceebfb422f14e2bce264063d66d04760c524b7734f071c1c2e541bb2811b4d984d31d8671263a76d4c7cd0b09c3a2fdb589ab4c861c10e1cfbf9f4f8db34501
+B = -e2a03db9d8870be9d5628007632987ce53daea454436ff2117588a7699c45ee56aa2ebd229a86920ea0a7799df4ecec76d450100f6e994c58ae609561b3d2009b54edd307d0c182bc7a1993beb6c67a64bde7f14
+GCD = 374ad4ce14735dae535224c71520e76c9fc28c77f64c4d8b89361ed158b44ac8925195d4222b047626ee5
+
+A = 153526288c3b2f0a28c1045687e0c62c673bc757f261f8b4c8197ddb6368c855c85477fb8f985bd03356e4b810e37325cdda78c05ba74f2524662f1f4b8067edbc05bd34a413cbb57e299f6f1cc85a2373da8aa4da
+B = -7d401b5afaa9262b9a1024ba14b88062419ae5dc686bed09fe9343a914c65325bf5e2fb06d1e1bf47fbfae01706362621a718c5b3da596bfee1affe5c86d1d406334def3362bc43a0d4321bbac6fecbbc43291e03
+GCD = 5eca5a9ad59f03fe20d7e10577d674244126b47018ecbf53519727469f156fbc405036adbe784c876f3c1
+
+A = e5cef90304dda6dfef5f20c8bd36c36972e9deba4294043302e7b0b6eda8ef8a672385809adde58b08d1812be0fddc3950c1db5c0e93b2e45cc013172896bdc792d4ccfac813f247b9c491925b07adad49c356a2c
+B = -24846228bc1853135fd15536e9d6e921a9e57cf183ce8d1ded7aecf16c9c1ca5cfbf6373fe1f69119d400e145b818e7bf4c04352b255caf8b2f908602500a3dedb1a15735d3ea79d5a569899079df41e54c727aa2d
+GCD = 4cf4419991947df086bec5d78e4a30bd4b1d77e07c86ab2f04d9969933ae2043d410c8d17a65a46626b81f
+
+A = -eba20237df851bd3b286bf07ef825c8328d09352c8cc4dfb7695530ba954435b75a1b823bd4bd9364c230e3222ba256a9c6016b4bfb8b8e15e195643cf2865a2cd208b775559810fd8279490d351c9271d0c2ba550
+B = -1dccc6e01096ac4394001b567cb698be61e7b494fe0a36f891c4d00589c36dacf8b6f26344e6299b3139d5fc3456ded687ca8a858c9b0d70896026bf5f4c9d31412b4fb2a80c915f424371585258aac9d4c24e4fe0
+GCD = 1746dcc748628fa6825ab47d557fd756571fc654f1d15c49683f4493d482862d767567c635f8b7eb5a02d0
+
+A = 2499134aba0c05ec1d72ea6ee96b55b93f916e2f33627f9aaa21c8baa5996b419df15fe46fb5e0a5be7e01924a3733c24e193064de749e5a56f36a8c8f873224995bb81995b99a141a2616348cf1b344602b6e1f731
+B = 80a0850fee1232e0d25a8d1277a337c3ce4a5ede9cc7b5556361997d9d3927540b42d9819db2d2bd1a2ccb89ac5da528d81ed3070100b03a51936f49d36ed901fa141b5dcefd3d60833caede7d73a57bfbd686ad00
+GCD = 29e1f8deb7125f1a3c7a28695f716fd263b940c4a0ee950026348b70dfda56f156e349ba1f9df657766c43
+
+A = ad881d62206c6472e45b29a26ef710df56d60c756c2aba41482c7716ae46495bab2ecc9bf0d9b5e0bfd402357bc77d584b1acea4181733992c7b65ee690a8389204baf833c93eaffd3927d52b54847911057a577fdc
+B = 9a3dcfdc21393152ba6e459ae384d1ff79327f1f4b9a4b01db25184df7604ca5d79fd1ab35eb946883c0bd2814d848dc19813f9d011207b252f6b295edf98a9bb2eac4383abc089a48ca287fb4e4dd61aade05af588
+GCD = 50bd18adedd47d38ad8c02c6fe422af0d36cf4e21c5776db651a6577feb776f78f5a6d3b232af7f6698f6c
+
+A = 29ae2d5e9a31f8fbf46a562f91a630f9ddf142d0d05d0d70d744ce7bd8990949067841ef1282f0c46a6f8f317ada80520807e79704dbe7905615267c0e5a6b4fa3098287a31ee388d753e9e19262286e5c918fc50f80
+B = -1cc7bd417908e40c67b7ca990f68911b409e92bb9daf4f17fa98277caf4f17e4446c5080345ae8f00222a000025e052ed53050f4771f6e3965e53eba1bc2cf4eb28d7f069185b25077573c32412397248cdaf72aaae4
+GCD = 88652a1c65b4d39a683f9ab787e94f49ffb60bf67aa949269956972dccb865a8f05ac9453bc302516c0554
+
+A = -faa87d23dde64ef02fb948ff6b75bc0a4aeaafd9418e71c57505ae5461d4bb8b1aa1b16f0835141b3c393bc9a33b39d4354dbcfb5981ebe5bb25c8f60dc21a6032d8326cf7ba8b790299a301b83ce260de2b72946733
+B = -9dbde9e6faa351a69635d71f19f12a0e6a5141d3733ef3728ec0676625faf252da78badea0b3732ab761392d10e5f4cd43a0068235275dab8bf8e01b3b5c0c3b0ade1104aff4200bf09291dea20028e9b4b501d3ad97
+GCD = 17573323514ca4475885584a2f7b2124a2fd13062f282301575448013abb48f7a87011d806964a310dcf245
+
+A = -40acdbb91f8466c598c7b9b43a5df213c1d7e80b2a02db487064769a34f9043f5728206b5046419b40177075db2a9d22431fe33c1b37927a3df053d3dfe07e1ae054509c271b24322605c3e499bb825b914a1786e9dd0
+B = 1daa2cefe34bc1bf2c432a810a965eaba1713bd16e81073d31c3dda7cd6bdb676535c197fa8a3a1688086a7424592cc04dbe5fa8fbb3f7b5f2b75064693dabe72e5f3bf3ebe92df24db2a5340f1de5fbc337ae314687a
+GCD = 573777efbe5fd053c604d0bee1dd02a58069e89e58859f65684bd0d6e962d9feeda072a381a04eeac1a4f8a
+
+A = -67dbcb0ac09bbbfc3b3ba85d2f267a9b1b575e24f654d3c6d7700e35357c8c235c0a2006a2a57e61f26a27b6e75b4a24b52772061e0e597ca1b6dc9e44190c1349984ce086f6583eb94e18871e53ba67a104d8cd1078
+B = -bd07c143d44daf6594ea11a3daa8d4af63d03fd8f645b3767f695b243b6fb7e2a4bbabbf34645a56ef3d3cd4c8d56552fcc71d5e2ca334b52c6c7e49d0915f143bf56f10049f653ab14c33339aa701353378d25db7060
+GCD = 6ec53d40d021d1e5760287408ef6faf8243c224ffd7549067b11c1e761c4fb593b1f73dfc7357fdf686cea8
+
+A = 3008861931d6034b0d1f03461c2f6a9d0922ca42ee1815434c0ac6342b405c2ae8ef88fab9652d9cf204f3020e6828dfaf0b8786c206c3917c4e0376dc842557dc6f9b04876cf3d69583b8582ebf83ba97f2a49720ed7c
+B = -3ea448c66e456d9a2ef90d0d6de765a03da0d9e35c128773a3ed1411efe9eab8b37c91b77da6faa3403a0623e9b5b3139a1065da51aaa290657d89cd20061deedd92d51bb433d7d058aaa18c9a9b8a00612683e920bfb4
+GCD = 12e919311351b55cbe90f45b82cc2153287b8f5187e73897ff1a9c83f351beb71c7c44d8ce68049a101b443cc
+
+A = -9a4e84a13e7f72d5cdb49a2c0d1b3945887ad4c6bbbb6a43cd706b78b3d4a1de7b9ff563c3016d4539d1a74af1cb5243972fa9402ef4e4f9ab554e4eabb626258cae8d21b928808d0ec8ba3cfead0dee6b646b8e4761ba
+B = d286af35169dab0767bd2fd0f20a237e36af16279ac6406c6be3c854d48650e82381eae198f7a8ab8b2e849e5c17bc6d873ec92da385b3c0001403a80103838cbeac51fa7b4cf8518274c99e71949f8756a7fe37e13aa4
+GCD = 1ed4b6bf7c29917b45a366fb793d183a6137da4b073f5c8e5a5d36110b3a019e283a5c12bcdd192207db9cb6
+
+A = 2d34eb938434803d004893f7d8f97fa63f5505fe34a4468a71d0f8f88e840da48e5592ed10f9a85c7d20faa3f1e9c638292949f4a1f3e912703054c392a52f63f270738c93369fc66843e970965583fa03f85253af6dc86
+B = 3fdbbbdec30a0479b799de6673afa51d5a8192d5196851dc05c0a0374e357be0ad021db135af27d19d10dc727e4a028fdcede48605316768666a1bcc2f2e49341f5cc37ed90e13b05fe40c991a2eac996cf4110ceb73d33
+GCD = 2a9a8bfb81c34433756dab82d6c6963d9a5cf8bdb8af1c550eaf507fd5bf62c07006719eee9d655a4df49cd9
+
+A = 7f71b9df25a07af8fe3111718d4a793c8febebdcff4e6e2061ca6d832f9327fe4cea56bf7cfbebe21c3015eac801054a439eb0b48eb872819ddbca284e67bfe84108812a32e730a4060722f3a0e645619d1890333000c04
+B = 1573a1e80fd037a90033c15e4ff2c48d4209b2959325245f9d18130f3cc68750a1611b326a0f5521f3afa791ae01f109036e1b4c36b269f2d7a2d939bd9f38b53ffb0e9ff5f1fde1810965742869c35fa634ec75724bf258
+GCD = 683b82f8bced2a7bfa3c7e0fcbce2a865c177ddefc11f65d2b3d7cba13198016eb86e46b4cc0580009b17f3c
+
+A = 28a39945ca08bdb6614064cce1b8bf688e87da127c186ee7ecd2d171f39595c746c6b59dd9cab8c666c68a4d042164fece4819d815355e6539ea4814ef9b7d59e2c78fbc5b17975c58cd6c8ca93b7d9921798583c73d4d86
+B = -48503c41963820fefb00b166bd05aae1e280b612707f1984d33312b644635de00213a631b70f48fa790757d44dbd04921007e5cb33f1938700c1c156e7ff71a171ae3ff288a5ac19303a457679d49d7328c92ed95d377944
+GCD = 7475b638e1797d8b274fe02223ea4c6e9bfe6a82a7bbd39d022bf70c62d25d5886349ba733741d75e07a1a8b2
+
+A = 2013deb59bcabb803bf40ae891eb9c5dbe91732c76485b94d407d5df7abbc81981dc5cbe41e818a78725b103ec9a8f0ff5d42b54ddd3fc24d089a2b56fadad2a46d7e32838b7491779ac47451b3a18d08e9f8ca357e90856
+B = -52583cbc2803db21d0f0bfa3615383163e6735d101ec563a7283af6b44d53ef09dbb1c42c5757e3f87171cc639d69ae2d044731c0b0ae0eaed9eb3862e90273ca2a29f56f2bc7b5a82c6f60e6167fc71fed29236d7ccbd2
+GCD = 1dd7211f6a23ebd4475b1a7be1dd527f78fde2321e02193b19622b608449cb7a082f278c04484da08f7af74b6
+
+A = -4964c43b1fe8d88c7eee4201cae0318ececfaa7023a1b0ce3092e6eda98b48905d31d9f9b56a1fb1d274cd1e6e32db82bfdd62d0d7aa45b115070a10de2dce0695e8d011accedd05a3cc33d08a2ed4479218ef9cd931b67
+B = -315b5d4d8f2b4a6496be547ddea160fa0ac8ec9a7169b86d6eebf6bafed78ba14920b324477c714e20bfb4bea0c1e1f696a51afa67268130d402879ebf79cde42ff6de511c7d16beacfdb6de2efbb8aaf2ed14bca8f61ae54
+GCD = 349c9c6c33221af97e24d4c6311cd5a2be1d08822def04b01b2263fe7622112f1f3b8aa2732548cc5f8bb3a9f
+
+A = 84ec2b3e4ddcd5b98cfce99cb7f8b8edbc1b6aa188bccbff82f4cfe3b4271150472bc96b8223269691e51d77e812957c9ca38661f8e30690bbf377cd4e4afe496b58982889859887a64def7e18e11b1ffa9d971d43953bed7
+B = 63b91f5fe04342ddc46cba2e29da50e839fe08453a33a0563bd8ed2ac745035a9366f965b8f36c6dd96338f53058faa5d88f79e48c518e9c0c3daa545a35a41cd87410bd9399741469cd1903d744ed39de9c05d39a0d32bd4
+GCD = 42776770d683835e30e77d3878bbe32124104a354c69b08d64a70e360c992729120d29ac7824b129d9beaae03
+
+A = 26d518965fa9c84e17a0ebcedcdf023c53959117e9e586ed76a3ce7188ed83625fa87f97a0e9927678a3cb02334a23f7bf2b0a34fd079d0e606f918d004bf68ffa6884c69ceef98ae73fed4aeb7f3c840cde199d7cf64bf252
+B = 2176833c6789541d22b3acfca832a67817784b2abb9506f040f4a4fabd4858f00abd6ef1e92706c29a005cc272c2075bcdf310edbc3c01de1103b79b09d4d4f12bf6b969834602300caf903cfde16ac7c5cf449452c4283f79
+GCD = 9a1f9f32707f8675732502401caa5dfc9ee2dc287d5200bfb67db087409f7aeee8bf7c0304f41b544dee12015
+
+A = 886d4d5c35d30068625ea91efdb7cc9b038d854f390b340235e80b0b35f0708068eb0c3c6131b05e9559bf676dcaddeae8749cfb22c327bc583d40593c78703bd1ba03ae2712c037c3bead163e12b704361792bbcf9c1a474
+B = 10282958d59d1efe5eb83feec1131ed0eded9ad3c2ab1cf49984b602c5638befb07063dbb79738ab5a795b46a351d2b2683da0a2b5cab99447e37f60670d85030758508d3bc3c77f26abd25202fc6bd966d27b6738f6a016fb5
+GCD = 1221762eca77809976eea5d077facef333256d774b7a09f23513637ea21ecfbe7deefd08e957e9907ecddacf4b
+
+A = -1f4a3f71cba63fe3820bdbc7bbdff8b162e3de997e90ad939a1540f113d5b1b10d76b356c6d2d626d019eecdd5815bec2005db24d8ee7c3baaff0e344a7ce9c22a207953a67f383b4cdeb2fb7c3e61a438d761e8a8f43d1e48e
+B = -455a937aceb14c0b096d6c30c3432a28959a132f8337f288516557fd07e52d8d962046636b69015714c73518f593b6912d0188baf570a237e03c21f00b2653edc4ae3f884d3f954123cb34f17ad9116dda176a7312560d6ab21
+GCD = 2c6dca939e19f8420d9eeed95dcd81f57d0781bf48f5f4d59b84a218e5e78f037fa60c2d9dd5af709358fec2b7
+
+A = -2a170c2d3d0fdf6f0f661f35c24f4f69acbef0282cb56c3db9c386b36a4d537e1f7bdf560d27104504d3b0d5cad1d1872b4d97b8fab354fc2553dadc6e08b3dd487f172d41e9c23f2d814443de220ffe4db8cc5f93a3f14be48
+B = -ff06d01a83752146521f2079e17c79140b072be9c3d3df0768ea789b21d0d475de40ba426a4a9088c853b728625b5cdce2359f5a6ac1589763ad80a9a071b1c544ef9ce846dafebfbe3b64c85d9e3c5d96de1d8db2563c47fe2
+GCD = 44169f4c6e34f7b29d4a9f9a0f435c1c6af2cdf7302245a29d72be01d081348c8d8644a274be113fa2730e27fa
+
+A = 155f7f4d80e7b032db3ef5fc181b93ae5cd6cb905775cdc2f80c1f7c9b32f662599124e20ac8a13034e76da268d3f13a255ca7f3607c7cab9dcdab3abac5fe28f8a4c37338fe221fa33faf62f75919667255b033f3836e5b3566
+B = -4664952dbf5f3160aabea3e59d9520ff4225de7ff7ff00962fdd7c6bb472d3412012c4dc977f697c64e51cf1f23d9674e33309266ca5c40b5acda3a36e5e70b7fb6b6f3c6b7a642eeca031a9e871bf382d746bd1f30a8e694a68
+GCD = 16844896b753ec5fc14bde8316e9e3eeec0b77ad773f0a5f00dab25751d9fbf2c9a05529781f85ef3bf20318032
+
+A = -b44b0dfb392bd8531489b6518f6ab1859fd8dc1cd2b9c6f324b5d09b6b393a910a0e761cb63d4fed114876dcde32e1e9eb51813f5cc3bd6e9a95481ca5df7d60a90b36ae9f0132cf4ac6a8c6cd8c06c7ed9610bc8d18447be56
+B = -42a0ec1e35639241b56ce518462366497cfeb2d1a484a950f9009b098fa137e46e8447a78b26881f7dd750dc286e09900c58f3cd76099e9518eaca2d947b312bb2bd250a2126463fdd9b9f2a495be66f25c99b97a1808ca23148
+GCD = 4000283af135a1ad1333d52e2f863dc8cc0247452c461c6c5755eaf93d4b4a12cdebab8976277261e516eeddb3a
+
+A = -3e9cd5ed9f5f5769d0cd65a3f1c01cb0b306ca607865ab362f6ce3cf05d460d320c3e9cbc7ca1fcd5807c98cfd655632944f01c78a9a29f75e9df0b772e4f1c712c572c89e681de93579ee5fd581e311df5ac6506fca3cb021110
+B = 2b7d630e5ef48c414eac856165c1226efe6d6a81be6969828e3e44f4f0e9377cd7acb722b3d71d7130ef9308bd73f592d5e7f4db445d497da50fb0500e3e270348921ed165bc256044b0ff95ba4aab783afbbda491cac1939c0c0
+GCD = 18524fec60bad39231e2e5511832c3d1fc9806e03389ef6c21a3462d022158b237e1f8de5d1d82f1d65af832a3d0
+
+A = -17f7c0f63c5f37371e0b4d23bb67e968a55c65daaece334708b401267ec4ef57c0d4d694ae177105f7484172071232dbca01f18c4c905b4f16a2e5e1deea79f57326f3f39b123ca06ec936c22f1d9f190f82a3de0ea509c5e5a10f
+B = 12b8f917f1d967cb5aa9e8728e17ca088a33e6868354352ab2c6ac0a7f05d3657e134bc304deb3ab2fe2151a5cccd61a8c9d315b6da7ff142c268fdaab4fad5c91dfb67db6b1514c4b97b1a1fe82fce4d7fa1b7d630d4e2497a0fb
+GCD = 60adea3c9e15f93f75231a866f4114020c8f961f87accf77f540b69b886c3f51f3f001ecd243081e7938a058b31
+
+A = -4c2b0d32e1c36e6296aa8dbf925e80f989a3974b46ed648bec4fabcf494c14985e4edc0f0a2fb014a2d7e48e1587ecc51ed09b4d6c98a95385b94d8a4051e5adbff87dd9e55c663c0d4a0dce0c29db83516cf6f5b20dd483a44606
+B = -4f9db15e7e8f83254b3b16ef64f49525ebf9989b769504c3bc77b6f019435e387a6685dd4823f27ae486dbff3396f4ef35d8c9debf442d53f6d0ed6670e4b199ce97b8474a88fb878021876dc89beb3d4e101f0353024b89da2724
+GCD = 1b950d9d476d485d68bc2efb1859af9d3b8bd5a18b8bfd7da170a0b6400a872394e25777f338a6bf7bd1cce7659a
+
+A = -13ca7f56583fcd0f45f1d1b841c37c414dcae69f8614bbc637ac4ad2b4501531f436961b7e880790ea4bb7f331ad2db31e2524793fac7fbbc9446df1e3cee4d6c6364486afb88be29da297f969709750ba88c3c40ac3c68edbe81ae
+B = -12bb7fa8d6daf398f7fd13ab9895e94aa3e8b91a81f897cab24b6aa0553cf2db296fa3bd070fbccbee9916199398b7d4832deb10912498ef4b82bbd9ecd5cf89830990915091ddecfe9de6d769d3b6391293d40690917f880b74e9c
+GCD = 2ab6b90336298392e19bb820144c441f4b7f2feb6dde96a70e5e7e87ad3f4d9dd1306e35184d2e125174fa601212
+
+A = 1be5400b05c3b6c129bc1ff6554913323fe74cba06107c289618cbc07e0984dbd3ede9b4e43fbf00bb0246a9ae480fe46cbb0a71aaceec8faf375391d86628fbc33ab99ff36b5a6dc0df6aa5eda6325a8f52c42bd3aa52373cdd5f4
+B = 7086d1a975093b0ab5a64e9ec40d2f76e29ea125a1ae48c600ce178bc35701843e03de36a9395b2779fe57fb85a543e970edd58cadf4f6e92c9033bca9dac06d64d62f3471027e65b05b1c119649334877ba9fc4e8ea765a3eb542
+GCD = 37fcec1df7348c917c6beea434bcd45b2a1ce061c6c99aef39b5bb430981ceb91dfe0608fe35f2cc2b25c3370b22
+
+A = f8f353b051b550ecec2c0fdca09ffda96dc67b9c8188828d5d950889176eede1caf23bb9279124ed65faa874083a989331d4609385a76094f81e2fe0c3e9633f7e43d7da30f5b566a153c6edf24718903c19348424e8c426247de12
+B = -359189b51aab04c7511d9208656692959f1f995baa51ab1ebcd1468bb50f20df29a9cd7360feb134d157054fca271814a89e79d76166a4a84870c150360005766dc619ea33332b850801a94177c035b9cd989206700231da3c1859c
+GCD = b30520c708db9fe43a9c520140ae61ca8dc6b586333f44e4004eef28ac51d7aa93415b9136ce194b75e4bbe5d7aa
+
+A = a71d0f5f83bcae29b0949ac67671783383dd032ceeb501eba447b6a1382a13e1741e5117c7de63c66b132b035d82df3ed9f03a418feeb8fe073343690b4ba655c6fa8ec5611dca510c056554327dc1307456503ec1d33bdd02a5b42
+B = -6244dd7b23f1e33c407c89c39f0af31e8577a5ad50ac44735521073789faa780c7fb1e644890556d118170bdb463a4c739154fc43647b693a96ed4231f57067b611010fc6a028b9f88704a167957622c6a5204166709adb1517f59c3
+GCD = e42f2bda40c5b833e518360460382598ba653abd85bd2cebb08cbd0f8d9690a5f403bcc3ceba6255e846f735b4cf
+
+A = 1062ca1b121f45fb4ea09ec5062d30174b043fa14b04ead0dc346bd81e60eae87c6a4a416f16aedb13845a91db112fa7351b29f1a979e423e79cf3fa9eeee32baf19b73714242f84fed3dbfe2708d9b2c876368fa20f09f257ebf62f6
+B = ecd73a16ae56f347e865287412c1722c6bf1d691ab26c7ac73c60fd483817015e325b5c18d1f370ef635ae39b0f504c5172d7bc61628fecb14726b4af5da6de0385cd9a53697382b786f08c51e1e3f161053750dda0338184a24926f
+GCD = 1107cf4f5018fed248083ec145d6959d2af23e77d0fd4a1d335eafd2452ef9f2e11da5dae2e4cfb5cba7c2edd8ad3
+
+A = 28e9c26e11c84f19e26c9f72cc40b86b4d612bb5bbc8677de54d48d7bc35535c3ee84a8369acbcfe641f85aabf8a539c6a0321cdaf2d104871a9a03e02cc5ac0c72c3ac5e22251ed33d1f76937a6540d3340f9787a1a44ce3f414f66b
+B = -30b28f961c2e96c7547973a278d06fce9286e0179a8e047193a9214d3ba27028a483a398698d40edc24bb75cd1bdefc1e57a0e7e15a34429b85d3914085c83d5b9dfa480840a50ac89977aa93c809d0bd8913a2f2b083172f978d9955
+GCD = a8cb1d6827f9bc60d2e7b0532a430bf25d809ee1931aa6e767cd1b5a8056254dbcb54c8f29bb840356b5330576cf1
+
+A = -bec4af5bff53a35e8276575aa346b3cd54344fc4e141924c0fcc3714d6dfef3766b39ebfc2327e55c47648d2e335aebd02ae8cefe3c701bb55467530a99abafaf3a7cbc2ff3e5e2693553a01a3bfb3030de9994178f2191d9f26a8a14
+B = 3b1fc9bf2c4faa4573df2ea913e2277dd2101436e1a7a74621aabed4c87a91456c9e52b10af2617f1f68b2ae3ede795c07af61ae2c8241ba7d75e01560bd691d24af95ad1fec89e80fd81abb938b150cfece785d6f76cbd9249f8bd50
+GCD = 1e78ddad371ab2e05f81f5d98ff197d7f886c0371b0d113ccb73abe2c9b18dd3a08f60134de5a638b08791803132cc
+
+A = -187eb572a45622faf1906e52bc66d24451ed8c16132bd470c0527ac5c26ef3e50241fe2e0b8c162cf187e3351e6ac562e1ae2dd0a4bceaa2ce6dc58b11e601b91d33a098fad4a6b96dc7be83dbc90b60a42cf853f4fb0f500af2efe4d2
+B = -2de57c16b9d8c46bade89d1730a1e332d731c47280a1bc219668f1579dbb07bf0cde72d559da4dcc28c24177740fbc21efa6703c9e277a4fe818f39eaac75c2450724f7db9930b1d460a7f15fcdc32b1ba6f692277d3305cf3a07e663f
+GCD = 86172e2a3a6a3c5bcfdaae14f224ef060f19d9f4b2d51167a1e8c23bfeb3cacbff55364fc769ef4cfe64b27b2bc57
+
+A = -4b9a74706f873c0e7dc05d45f1e8f7dafa27e121ff954bb9aaf104ed2b4b673765f8008ede0d509e4a337bd6cfe41d8c88d891f608b5441bf9f0b19af45dfe7a6a7030e8a17c24d16fa58dca6567f79ec34b8a7c25f3e66b723143cc0
+B = 43ac404d0f16e69edea0d924746771f35da74ddc85a9cbbb770662753eac2c11555037edce8e510623ae561a638912ce0d7d968a8f6938ee20e730b156311cb5f906d0f2cd080815c15fe6789b0bbee3db720418f2e85c2ca373806a9
+GCD = 1efdf68ee94dff7ece65330df32eea3a737a724299519277ab2b73f3fed7200fe8705d29ddece03f0064037020fa7f
+
+A = bc6595be248d4ed48eb911e7d6eae643f13a076c34aecd35ab4b19f17401a117bdce2a4f77b5a4b70f9d8fc4e608835d8d82ad5cad6921d01a3f9f618a8c84105f46f2f344ab4dac2a38deef97dadae519c1e3202de9100dee6a153f8e
+B = 205615896afe769ba625d60c5a7de672d00776c685f7d284f5d3c828d231017f38fdc72d7492cfbfb8022b07251849b4320c3814850368a9a1e57d8ea6751cc08db1c8724fdb3d325e3d4179ec49767f36e8aefae4a0db43c551a76ea52
+GCD = 69a779bec79fc59f00a03703bcdef4a9ec6bf77846d03530cf786eb5d6ac78b67d99600e8b61ec2d3d9c65551699ae
+
+A = f07939abace11b47c69e9fa21dd4b024a6299d6d960e5b833a3dc61f1f8c6020ec9c091043162c38575002f4fe44b9215ed98d67bf5e94552de076b7ae28a00812b1f3c0c4dde10c25a0c7f3c4ee1cd12838e454641457d07122fd49a97
+B = -56df35868ee92fd91fa70a89efee7ef71855488f4d6e78b6d298be2572f5a9747213216a41a7cecf061699c6ed106aa713188115fb0b316d91e147dd4cc1da523e1730c49eee73926a8f9f417be8cafffcd7db50f8a01e09a6dd0fdf0dd
+GCD = 4fd633cbc3e9d190a659c7041e858627765ac3fc9b289afea7a7f0d3d5e0a64a1039e24105e8f385692db1880c920d
+
+A = -48c6a705b62ad1fde4bc878db156bb933698a60271f685cf8aebc0758251294a735e18500a125222a4c94bdb29d9ecbfc7c9035cabaeca2021cefb67e8116574105309467475acefe2ca0907dc74c9638383cfdba9a96cfadadbeb75a86c
+B = -2e53ec4fdbf83e5a143950c07006ac6fb152f7d99ccaa884ba3e1397f7cfa346d22c8e09964fde376ed601c0b8845b338c595fbf08fe9d082ec409f43ea15d48a35a347959c30e7f08017f3ddab3a581953b2911927f5f2897fe8cc5f62c
+GCD = a959e0499771c520193a6ac4693ed620a1ba165efa7ba4b29b7e5f7818c2f4abc0ed1dbf04fa9c4463ab73af6e2cd4
+
+A = c2f608d99d0e913b61cc29633b0a9a65276e9d4fbb56e7e1cda792765a8d85464a051c176505cfcfdec9015860b0a0768a6d2f4ffeab5ad0cfad0a071851fa0099ad2c9dec0d52295ec4bff716575edc970f2fc10ce665b2550b9107b840
+B = 1aef2f8a8ed8954350d54082697191f638ab098a18fc5aa135183b75430c94184072c1220484db75c8215c7ed0706867f0a00fb1e2238aaa0abcda47df1f04c1ded288ce15a09e4ab8f734bb832b16b1c3ffeda26a5b6c86fa069d8936000
+GCD = 199d02e025adcc86b5f7ea830740859380c491850304c066fb9ace057b59d3a01d41af7e84d503633f66e6e36116d040
+
+A = -70429b7d2ea5eeca53292ffa80d74d73dc08ce01c1e1369fdd683f14ee1f507f6f6c2b7280e85fd5e5d84cf50a5fea1de52c7bc95fce48185a47d43255d94e519e8736f96b5563c976478f1894e690f43551ecb477bfe6ccd0e5ad9977a0
+B = 14904d2a8392a13efe95f3620be8bae324f485f29806e605b4a22d3995a826593af291b34909fa50a227635948d319f26ac21ad1c81a30fe880a6c9e60ecae35e323e48a18518522922f881cb7417777020753d07d6d60116ba3f7a561000
+GCD = 2267912b74db239e19d88ff4ca8eeb73b860e5cbb2631c1df16c3d6ff12b1d6f55c2bd693bedfb8f4ad36b324adbea0
+
+A = 7776100db14f0cf58ce1afb8657b72d8f0752db5cc04f50faf2ebf110d93c5744a24044aa8dbc32a0b83a6e90539be8f2a6a7cad132d5033dfdb054d3f7154b5f6050e6673ae99b0f1d801b9f75ba2189402d84b3c11b0d112ec2d667b8c0
+B = 704f03362ac1fe7ef4477f7ad6005f6b718dae79a386508164bf52d47036fbbad0efecefc4328aab3c306ff9bfb44210f246e084eef76dee97b7027379e771e4fb861fb838eacd2c23a2705b877e337defa5d57492a8ab2590ee98b3c6800
+GCD = 4cb8921bb1ed9f93e7d60268cdb1f6bcad4dc4930bbc78867119313164d35a42f8ef169d571402758494240f08a6c40
+
+A = 2f490a067678ba320d0c3763601f86df9cc3cd54cb3c80f1cee219a32a9987ad930a4283ff03d4171c89acfb6b90b8c70cb82013181779e631f703d75f822670f1b74fc114721334adecaa06d9453773273dd162403f1ae4aa2cbe93e65c51
+B = -21ab4336c50a8fe382ca29993192af58491a81120b8ae986c38e0454e55c6ea30d02135ff4d82319a7dbb9b2e9d113fc0e7e3449c9920f6544b35ce52f3216625d4090954c30703df50fb38e0e75cb4ecd5ef2e17ced3c27e4e68271b8c73b
+GCD = 9cfbdd01f4970c4ba2590e78e2161e64e0ff7947ca86c0b897d92ff8f6b4de5570df504bda6cfa506df523eb66be3f7
+
+A = -611c3b6ba26e07b3d37bf994a94ab0abc69a15c9f1b649bb8ed5a4ba4a6c6c686ec72e5664f503d6fe20b10539c8ace71e63904053909ebe045ec84ba639b2228965127ca022a5c6c75815433cb05c2a0e29f05eda3cbc81cdb59fe09fb215
+B = 10fb4231a147ab1bc2a5e82e097b5c62b599420dd1e803e9c09c284e1cb3df653904e1c791a0ec19c6aee376f3297fb6e53e02c0ff85ebd0c63962dd60ed8abae21ab02d8357279dfc7968a99939f12e15bf558ec41a9e4cd12650cebb9b124
+GCD = 18c888131cb1ffc06fe9b0e805215c8f30c72135342102493e8242096698623ea5a5569eea2565b87d33c3b5270fd7bf
+
+A = 65b9557e5e30d73f22b7974963507687bba687e1c3d5f044e2c41376b3c5999a93262822a052d093c680cdc2a55367e17b40030f54ab63f101dd5a45797c4e10d7277f3afe0363356c30046fb1d6ffe68b52e160474b1b7a9d19d354fd1ffec
+B = 5b6930e5790e299e721353aed2d7dde3d729851568ce017504e162b4955cb7e0072bbc68d83e79f136120a0598fc3394abd7518a340f03697bb0498d047bbc4361f37928ec294033789c31859ec7fb15c0dff482c3097cec2ceaf883da13970
+GCD = eaee4f9859aca2f53925dc6b1212591de71a573b07fb4b92165b803c173cb9b0577776b24794054c13dd327949bdb2bc
+
+A = -af52d8577227f64c4dd76c35ad05c2b6828c59a122794387c20dc9216f6fe5ea9cf9e7fc4ca8e47e2be52e8e8e245b3998f7e03f22cc6267270d386bf4823c8c13468bbcb0ddad017ea993368bde3988d7ad2f5de1590d9870f481b13673cc
+B = 9d2d9651b7847f58a7693d41224c6d8360d28e115f8e9ce8f3db541f460f97acf9e1f0f2e72e5956e8b3474e380ee19e58dc528e105547b7edd53fd7ca23992d3085ee1e232ae12570453ef3f0741ba3838a4d0fb5d5a8c249b8de8601c0be6
+GCD = 7817883ee1cde88f0eeb1dd45de78eaace94a27b51d82889e6ada013a5620b2d3a8cd864e34531cb295a3b3fb8791a1e
+
+A = -2d1639db545b9ed6cce5ac24bd9acac4e3eb8639d6a98cf7a6010dd760caafee22f45f76fafcd33ab906e10f10eea3182279d6219b47768407283fb881381b669e4937caea374d5fed66d22ed91024b4cf57907db816566154cbb8e73190d542
+B = -32e17c2e843f232a911e3a40ec94e5ee3a0af39f179a15c1ab05924a62ae4a4986e0bdee7c80782fa61f8bcdf34f43c69f6c78d94b59200129e1fda6b5758e5a43a3ce6ad1f36f2bfbce2ece7d4f6d1ced2dfe0b6d09422634515fc6729b2924
+GCD = 2a9daaee9085ba42c19f6a22ccd4bbf2844dae3c189cb10abaad899083855a89fd5f03e0fc9a29c173c171ea069e52ec2
+
+A = -c1c479bfb428d27fb8d6954d614d47f49527cca253427601c6155f6761051d19a1162cffe12f7ce789c142b29250f6a1adb8342d7822eefdf972385abaef7a9c902c020a311a0e3076f3c3cf9dd262af19760783cc27f61369a5032e59a3db4
+B = -14b799ce82150daf38e7287f45582aed9fcaa7fc515e9f15be128fdc55673d5b87140a21f8f4d88322a9b7a8821435c3fc0d40685b78054fc8c230f59191ab0948ee473c0be9753c7d29698b35dfef2b23def672711b5d7e786c595d9d8c0e8c0
+GCD = 30ad136811b362f9b8b222f0c548b889c6d768675161a8901591c5f7cbf4668532c92fcc827b45db804d508609ecf512c
+
+A = -9dfe5e74cdd9b5ec226c517dc4d2fdb1f1ca900a6ee86a9b391e45bb9bd6dd0811155ae6287b317177eb3a38eae68d135950cff06c27673778de136c5f831dea56ed8d8894017215de43efd5b6b5e42bb05e30bc4e46e6d647f7fa2ecda800c0
+B = 1d5e6872abb66331000851b33c2763476d8be244ac2e0a05c639260845154cb56a03ca1cd63829eea2101e1070a9f53b28429d715d62c85918b628264aae7c9afa920883708c14fca8e323a7465ebfaa0d0aa2c3fbe542c9cfa6f1a07ebd33280
+GCD = 4d2957af237b577df31fd8d59756896856254ec1f5d1feb7422e5a8fd95dfb4a9211a21dbe2e605e291087e4d1cb3ffc0
+
+A = 2336afdde64618b3aa7f34c6f31542762d3c55e8a7dad8b5705390ba7ef61619930fbfc4563bc9b7b6ddc55fdd4ff686a249114a86e1893bb4de0d7dfe2063e99bb806cc948180b8d798ca52b305fb6b71371857d8975d8a45065e25431be4114
+B = 7bb159b33a68c83905028224a106f46622e7256b38591e3ee4201b171f1a945f9ec0e0fb739544093527fab5fd17244fe07158e348f29f9b999c428ed972ffd6569011ebc68f9007b05a677ccc00f001a0079ff3ff0b271d513071e830b59e36e
+GCD = b0143de44b85277123fc1331468dcfe2117f4bc55c94a02658b12e48dfaa2710365c5bbd650630134ef1aae30553d582e
+
+A = 5ec49f56fe8598ae1e816972a3038e5a749370964bf2a21f0d9079863b0b5407eccbe5dce3e92b1de5f096e590edf1df89df3b5ae5b3e4c3aefc9fe9d488a406670c6a41ab764d01e3eda97036dc15287d098e1e3cb808c53d68900b3565d1a02b
+B = -2794644fa7d9c5e908708cec66a4d7a091defaa12f2fa714f7a73e0c364c3e28a8df4b4376f54a8d59f69885305038be2ca13847dca01035a1a8bdb32fb71ff42a25f360bcc2a1fe59d7dbb8fd2ca28d5ea5e5fae41a96f351ae9856273744e8ff
+GCD = 26196015aacadea54dd1ed0b60bc37a032aa6bf40125917ac14898aa20355b03022ce855e814c32e5178b2d561a7320771
+
+A = -581b46edd0b15971e75506fb2040d96c3d396fb0bfd54a1659969495b9ce8ad68a71a98c823e587d97f5ffb4d40bdfc4c962c02af7d04c6912ac8021631d82a0c3e3aca948152c43493fcf2c5fb2caace9f8168f3e6fa8c277794fc2e225d9eed5
+B = -115906ecc3f3058f9061b4a74a65b7720adef86a906f0944eeb042916e8ed6b77e1e98a0fccce8768f9c0c2b34268b61a0a0d7f9b9035c4248136310b9ae246f1bb5dc1caaf568174a5b8744111b793625a02a02229049da46d6fed5b70a9c9bbf0
+GCD = 1b7b7f51e9e1787d361394ac21dc5ea9f8b72efa0a534cd93efc7ff880385c3c25f6e8ddb6b41799e848c864a44fda1807
+
+A = -660a270a9cca98128692b269c097542a92a106c75e7775f04224fc13b51e4628d75a00257e9dd5bc4342bfc3a4b781fc70db8553c0965dfaa91e0418e6744d515c0c6f35f09365b6826c9f71beeca315de79aa983153778f70b4e1db4397b9c14d6
+B = 56bc03117abb87d9c4a85098651fd1a3f03729fd659c813c4f7ecb210b937a2b9da3c7a6427748aabae02ea838cd09a2cf8219188822dee3742ae8d5c93ec00465c9f641a8933487d21dd3c4bde44551df130c0cc0a7bb7b2ba5702571d98cf5f29
+GCD = 10af9a9df8bba7e5ed132105c126a9d650b4735839da049bfa036e16df3677a19482daca70cac49d776a7e626b3a917612f
+
+A = -f5069680be2bc9529260c9d279116d273a97fdac960381d17d7bcfe16ad2afc06f88f625d1a31a58813a14857e74f006c46020c0da12b0d0d225158d15a49c6cf41f5b5890aa861bf4d44c0ce75ea1343e0f29866e7b74b663e34097ccf68395eec
+B = 962529257f52161d87ce6d6b0076d3414b660b4234434f8886bf5b044d3b6706207226c0e9f8ff6ec0738d870ead355b00e855ff07baa3bec793b79af8a530b172b4b6e97411a885f2d8ab859dded8b9ea9abc50440f5e7145df4e1e00af72fbc8
+GCD = 4fc34029a1d7df4aea092502b3b4813822efaf2c4c91f9ab716067edfc9e7a200ef307f0942947b8dfe2efb9b0a195557c
+
+A = 4f5d40c84dc43791f53399250623661528787a609c6b3fb0a1ca8db344446d27071b768191e72ddaa74c049f3b32fbe42e9790887902fe3d93a3eaf2c1d9db2a64090322faad9247922db0e96ef16c99c5a8ce273fb1d13b019c3c5134ffd25b6701
+B = -34d12d06274ed528785d60e56e1c35b27478e907fea092ab4b5bd539202771ade58b23f08507dd54365a3f1be450d5299664915a3191209968f8b87cc048578fce74c6ef755d11f39b90922dde5ae8d0b5fa973a24c7950bfac57ee88b7dffc0a7ef
+GCD = a944496417dfb7bdca1384f396bae1d188e7313982aaf4d8d7ddd8c1628b237d0434342a35876a965e95f9ed12de149915
+
+A = -d6388ed41cf345a5d4a99275492a6a9210c120f102ef5f07e1ad5da418d23d81ea7d4bffabf279b8644962b620fb85600c6aa10e70b91ad3719131299c53bdbdd6aa90d755c4a014abcbf3f01e21d550428d3dad2f6bde1bd3d4f9b00f5b127ba801
+B = 2ae4d11a437dec66ca7a5379185057dd30a38b157f0782b3be73a2824f66297ae22811c6b8d1716bdf2adad3e2de46690abebe39504be0281f5f36de29bd36166073618027e6ec8576e76654b58f4ad36fd93e2f95601c87af454a1f37ef9eeaf32b
+GCD = 12c5077cdd9cf58d1e906ed7d6147b671ed006703bb615c93231dd045366939429ccdee90f45929c5a52d87de6cd9ef9539
+
+A = 2e20018e6f49caeca16b018b47accabde275e7e0e6ccf0910382c678a80af882dc4825d59237740223943c4067fa02f587beff484782481f3d10ab0fa907d8fd2d233bb0ce16057db425593f6c52a9b4a0a2a8974b36e89eb0cc22f6e72917422a841
+B = 4948ae142d762489072bd80ffc647fd390b52c85563294985f7a6f1397f3646bbb53a2d6ffe21ae9a9ec12d47b35732db85bcaaf979cca2d08b2bc9d74996633d015059b208567bbea4fefbc5fc566ab13288c01b47167bf43b943daf9edcd43c2a80
+GCD = 2717fc7e8faaf45f7bc651fc00823c6f2410505713a5722bc170814d24ef8a3682e5a2ebd2afbaaea0c84bc5486c0742b11
+
+A = -327d55aea1a587e4ef04b8c0157245f845845c4ad0b532493231149eb243c608bd8bee05c743b14a044c7c55514c5d2a5288bf96a574c7a2686460caf1f97a510fedbbad526d4c478ef07e478e54b4ec6ff2ad5bd05c187434aa41a5847c6a9ea62d1
+B = 95960fd2cd83aa48f7b294d2f029e1c2f4c915d91a99d4ec332b453bd9f7fccdb2d46955510afcc9ee497bb8560d7bd8286d76a5dcd69b357e373a960e54522fa9e576254a728511843fe372ec4961367684a147e9ce193a19d845b311e65d6daef2
+GCD = 45e4931dfc4254446bf86dcb3d687f2eb26e35a01be02e80d54106555e8601e4e2136eab350f4e9c3cb904c97c4f66aa93b
+
+A = 2b97c3baef4aa2dda514142e8139747da67125eab065bf463a35817d6e2e6f7fb947f1c845238e041727802460ec5414a2a7b658b051e366b81a53f7e860ec0fd0e50ff32f6fe1f22cf9dd59fd966a23b23e688e1cdd0558babd9d5e3c30e67db53f40
+B = -3cfd9e9da52a720e2cea1a821e3710157ee6b1c3b2b75871ad63b3d6d1d1897a46c2358c6a256a423afe4c52ae3c6325f0d1d921e4c8d43312e18666c3d430e81d3814f0ec1cb56e42844fe5f6e4e64df5ac54453ddfd327662babbb79df125788b19c
+GCD = 144b29fa84dcfe98cd20ca9021a7b551beeccaf9cb6188d193217e5b37b27fc16c27028fb42537e61f64e99435ffa548fdd4
+
+A = 1051766a66052f6b8dc88d645b5ca03a98430377b4b72ab65591d751c5757a9b91b9dbdb37094ad2c19550d6cf9af5cd3833d5f69d2448b6f3b3ababe94c19f6a4a57c01bd0e1acae3b32f44afd5e7d29985d624762381112ba8998eb4774de610aa160
+B = d2ecf0aa93e708ac853c8101ee8f0f590971d5c53fe7854b0d443c7f1947c655266766a3b8d6c17f196885b4788431b3df6f0cf76c5ddae4524fc25a411a18ae725054fcd73b634c5487b97eda9e45204c57ddf3ef4e783e888adbeb162e27a2f4b080
+GCD = 3ad165ea0ebe4c834675b9c7c33b6dad0eb27d625097ae7fcaec60d752aa06fe7e9be1dc0acb11d0106a424b150b5f4320e0
+
+A = -154f2f847b731646cec8a03643253b8d6c2c6c3225f81ae1b32b6e5be9888a6db719b4d9ad44c0d5b99781510be262052c6187d48569bdbe5ab9c3910904f44f30f8e43839340fec28c51430bfb03d6e6a9873a8a9189fc84ea4aa9c751b33be05e3fa2
+B = -d11e4a70342a88d4c41882bb2d0bb5cc311be50025f6005a44425a1a51e9c1a99615c4dd7e50507e32fc3ca0ab27351dcf9f19c9ee6e21c44784711c84d6b62867e613bd791d8bb6153ab54e38889e0d03a47333eafb43b1509add41ceb22d088af660
+GCD = 31ef02883c4513704a30e2f6183be889f67a80ce84a94cf1158a2a4dbe9bc270e8ac21cf1dba4d494fb99fb360c1b37a2e86
+
+A = 95637d7294f9bc9217d2bedd34d088df3ce5c6d55e84bd0ebf6a86200b2837be8fdb686b3f5c35c717574d81d2aa2f66ea3003aa735661f5143968c2bea8f130202783662952fdc676ecf5414653f6dadca22bdf681daccfb24688c533b49f1855c23fc
+B = -b41a788caf2de25607529e4981ee9c111acb0f305b27319cfd58f9543fee730217e19123847fcba0b4e34bf48c888e3a907866c66066907d127005e4151d12b7add77852a9d787904a88c4b2f188e5c40620e9e0a866f3bafb61dee67a431e4e69ee402
+GCD = 72024a5650fd974263a5de8d42101c0c0770ebed51f7ec4b452065e023a3cffdb86acd15f13ca55e789204abe44f6d544156
+
+A = 2605d50f90ffc219efca5a0b3eae84c3977f8b0c7c3b90f7eb8f27b3d2de3b6387b57abd3efd699ca6776c254806e5a2be5f1f260a10e4e5fe87025bc6fc3f72044fd04e61bcc61ee85157b598fa1b2abb896b82481739b91bac39dcc4345ee92e55ef24
+B = 3cd19af2cf7667ca153ee67e601fab1d660c92756dac7c51b3cbc3e49ee1ce640da8722e0687e9cda38a4bdaaa74583c7bf308279d0329b5ae0d182170958f8aaa73439f5d9c8a7459d3fc75874fe9f084884a66548c7520cafccc9bfdd367b266559584
+GCD = 876fce900ea175fb034d92a1c883370aa4ca3df3ecd133fee3ccdf2e7f5b35ab0754cdce0917110600146639c1a9f862bb64
+
+A = f64b7603fd1207e5c325a6728f0a08c32036457ed9b2d70022ddabb38f6fd5ff226cc788c1daacdd1567917058b510e9b4dfce12d842cb5e32209bffe7cd28a6b145d4e29f834f18eaf6d77dc2e7504affd6f56a0b8946cccb274d9d194d226041e9310a
+B = 1154be1e8d333fbc45ccefafa94b98e0dff121851af3dd0a8e7cbd0a7ee0d17e39fb2bdf8f9a2999df47f8cd68da787630b60cd23d24bdd4f2c7e3fe0afb61214f7b2942619d9336875a18b6ce2081bb831972f421be15a9974fde93ec347f5e6ef8df016
+GCD = 1fad0c628fdd1b9f098fe53aeb498997bc5984f7bf35ada4e890cd9309613b81c5b7afe331dd3f1e26b24c11ced34099c94de
+
+A = -351e40a2cdbbec70553e013e0f6f13dd24dcc19b6815329dd5ce63328f4d76809c295fb74608084fec0f66dcfcc7d82ac302764544533fcdd8659961ac5049a3ff317f3222bb46aba1391fbc7a0fc655a3bb81e16b362acdc9ddb152d0bd6babc49df93a8
+B = 5246b50e2f3c835c4b15589ffd2af75a49c6802de112b58ecb2ef6653e8107357c992e943a3f6252db147858e42d2092a9ce9c1a1dfef0782b48faec0ad7e614dfb08e42a40ac1e74ac4525eab4e918ed4c61457f7d5e2ec57abd958fc135f3ec0e6f977f
+GCD = 29b7ab484cd02e2c1c3c4a495abe3b104b8bb42b1b20c3411a30c845e2a679e4749f3806f47c6dde03a0ec228d2d46cfbc0d7
+
+A = 23590a5ecf117c9786a73d014ee2a31d9930968192d6367875305fa664e7fa3a23f2a720103a62356825f3ca54ee4b5ce9af3723735dbb529191e63e4ef7cd3e795a8c0f53e0ff52f0cb43d1b5f3a08bf951cae5f9c04b793b9d37f3b0c07dc1aa6c0b696
+B = 8c819a7a35ee2e5d47b6fd74a5a0217203890a3415c11170488fd703977ce5d9735d46eba74e141cb2aa5bc8e2d86fcdbdf3a5b4e299203948c587d214827a7329f388a20cfb9e7361b23fe2fd2edde631158f757453b39e087f74d7d77eedcc6e41c6036
+GCD = 430bc8b6324178616c11aa7dd88b440c4820ac849071defc385f4fe41595af29985690ee81fc06e6fac4d5e96a3e56c35ad806
+
+A = 52850a344bc14d18a758b47042ba3d2a8340f93612f94735cf212f4fcba92873a2f50f9a5897ed17dac3b41b584435cdfb674d8b902e46c22c361ab95c9125c3d3d2e650cf9326b92103d3fc0024de907561a0e6ecfb7cc2dcdcfe1ad4a08bb1ed9f93d07
+B = -4091831cbbfc028b8d39e56003f1128b143fbb9f662b9f21cf9cfdaaa0f237a0767df5d249b384d9cbeff6d18f6b3547275a30f95dc214d6cbd5a2845c7abec9486c47c555e06eef10db56b5f9f1fcd68bc6d34c5458630fa94aa34417de5ec1872ecba18
+GCD = 92b931c239eb1afa212ce792362bd5318a5fef55543a219f9a6c7050309cbf56ffde5b0d38cb8b0bd9937ab621e617977cccd1
+
+A = d7cf5ba09cb8760011b38db1fbbae5702e831643549b393fea88b0166a66b0bb648adbb605051c6dbda8965ff62da60ae2869f3d6280517c5b94cc49244a2d77c0c29c365b7543165f6774d5758aaa4b277ca810788fa00a6fa6b2b9d9f321e651bfd46040
+B = 47ca624b0e6c4e0cb1a874ff8958d07eda4318a21b2f5ba92324d86a5dd303153dcafffcd780156242b814111039ef7d5892b25650328fb305895c3c275a373b3c58eb912ee9dcdcde7e9f68110be97957ff9db4e58856ccc51701a9b7de0b7dc3f37fd910
+GCD = 113f3fe13bc4a628375be0ad05cc6d331c6fa91ae158784bb60168ea87b644c4b5996e916e3262a11e548ef86649597203ead0
+
+A = -ad26371e8bb2e5ebe46e4dd365767a8e7ce09176046b2d55eef959e593b17c1540baaf036ceb644dbf377a70e7e4f95cce5fa3e65b2604b02dfc6902582d73ae0ac118708c225dea76c213d8560f9eec160e2e48b960c1b38b9f1ae1d726d8a6c20002690f
+B = -146b5a80ecef3db0af23277b8498452ee778f7eab3323da323c7597030d84c0b6173a205b33ef160bb92f7dc1f5d74c502b44c21a5ce8b6564af44867521805fabc3c7a3953b85ec4cc7d4d3ae45a760929ba19a24c70762067af33159006fe16868eb76b8d
+GCD = 2c3faf7a6e6911a181341b9a5da00ac41a4c12bd331081aec409f0919af60e6b4913f0157f1a7477be6fbf66165500c267c8d3
+
+A = 11414e2ab4abf6e9bd46d32e1447726555ad1fa1e6f169c27e674351e3a778f6ddf55f47fa8c850347a45cbcfbf1911d0e2bdf148a752a1a09395a52fd8ab3214c268cb3ac7bded4fb132573b1cdb0f800e54fad33ded373abccdbf8f48d6357e6539788b640
+B = -9085c12741394e6ec4d255ae74a7efad1017e193786ee6456f8a33c929c34abfd220c09eea0e4352ca1a2d6ea0245728d37b8e803050846364d255d1a9c6bd383ba6a1688aa06e4d66885ecb4d8543bdbc676ba5093e4df92f3fb43f69b71dad783d8014a0
+GCD = 78404ce9ae13cbc329fdc0b307e4bb74027f21b2f885db34aa64136568dab7692c7ba031d2fde8fb0babf2a338b31e3f0681a0
+
+A = -497ebeeee15a0776132c177655fe8ac2fc2a76a9e061626980ca3b20ba64d987798ac9b50087634b8632e8806783bf1a4a6aec2d151b5fbb329a8e05986bdb36f90c70f8697081de5fb1f4a3b9329b3753b94e68340575c16ff4f980c8e2a09918d2c9b954b6
+B = 5cf8e34b62528c880dc9c76362af2f813452222190cbfd0ceb3236ad8f00a9a638f148310e82263db84e21eed54251c01bab14b92366a098f32e43d842ac33eeb24dc46da5c7e4def146dd1c6f282f84f3346b7c666fcc6b24f90053f82a091252ed90ea77c1
+GCD = c733511737a6264522a7f4ed76ddabbe4dd09901cd866d31630c0c7b4f62a6cbe425b4b8411a3877a1c5f43c421338d9927935
+
+A = 94772a01f39364eea6a231544942189de82aecdc1cb20d984e752880dfe73fc274ef42116e4433426fef89755dbe581fbc264696636674f860da559649db26781c0e8d7fffc3bffa771bb3a9d51158e757f566428d4ec3909e378d55ae63f8ca510fe862a986
+B = f9dbe9a8b1b96ef2178b3ac1c4860c5d809c278aa620111cca122394485caa7d38406d53ec699dc7f740aec2eaa6c2157c53e567dd5d183eef3aec9ebefbccafdda8df71b5b3ce40a4ac48c7aaa6ed3f7197f7f2690ffcea902d63e5189c22e4c72b89c2a2b0
+GCD = 240d217b3c1e749c0baf9f987493734fdb84ca6be82c41c2c120683681bcada315b12239c5c68f56e7153835f8171dcd6aaf596
+
+A = 31697f0876d4c2889d2a47f45dee5d39147a9673df50a56f374c0f32592df51b7314bfea73c4dc51a0701c5de3cc6ebee8ccbfd3104881d8cc14b978fd7c3449d3977015f03b6bdb29b0430768268ace8722c12bd353f33b305a94fb54576ad0693852b11618c
+B = 370613f25e7588ccf96fe08d99afd26ac6d304979de48e31ae3916745410d65e688db7bb5b874400bab273d0b745ea39703bb5c75452ea8245b4d430556024bbb79632acfd748d7aa4ba60309d9700c720e37063825ee9491675d0720882ccdcea8a0dcce5206
+GCD = 21319b80553e8240201e98dd33eb02cd2cdc83a81c8fb0657c929da5cca4a6a63627a809e65b37c2f116b0688098b5ce6a8402a
+
+A = -289f13b51b3fe125f795760192631c01f99fbbd14e124087f363c908222425864a750782c855f04c0ea400214f5dd6d8448c134b799a8cf38776d3c5cf70090e8d799b2d75c109f8bb284bc734499e03351e0421f95d604f142c387ecaf68eab7516fdd03d58c
+B = -8deda9dd77016fdd20d29033c3c9cb6db1546d631413afba6e95416789ffb457547e8b21c26ca9fd213f9d753891e66ebe9896833024b9a55d0e4381d73ebb62ea2dbe4e068b8157b32ed9cb419c13972f80f845807b21995265e1944556410b8441323fce3b4
+GCD = 5425a4020f886d8d4e86dc5f34242031f0abd5eb08757a6f111cae901c3630a18dfb4390029d88009704f08a3177be20e708114
+
+A = -173d7ba64a761f8b717cdad3bfe22e55748c48404ba3fbef96dca11695b8d15e36b654be5b305bf4bc142b0d9d05254e19819805233fbb48b92a82d97fc61dd16327a2dcbab280190af790b7a885f7d49edb90c78bae20c162ffeb8e95be96965795b452a92f04
+B = 45a2e16db55b81605020892145cb89f1cfbcca7cf64c3650549de79eb865e9e8b071647a7ccb7ad234cbc150645b5a9f2db5320e70f85a794f177dbfe998e6d02fbe1dfa4d46146eb41ca56479506d5cf600b008638378e47e64bd3f214677d05298e3ecd76cc
+GCD = 28478e46b77c92f4e13936a2a6bf7801560877b5e94fd861b34b53a120c81bd7c0d77bf7da1ec2b9c907f1312862d4128de3a004
+
+A = be301fe6317d4ffdb8c632bd4df21c40663c5e3cee79f7ed23c8676ea6c5eb02bbab42541abbee582ff4681285053645032f63126a002ef2238477237b689b81c7f6374e1b969555df12482aab56c6e27c19e4f014e1988bd92fa5b08d5a4a9f8716c8a44a1120
+B = f7bad65b19d9c07631842d57327199b0355848744bfcc2422d14700281ebfdb35535850c2a6d547f23434096753aab03eea132d4d94fc931f2abb5dc4968b237047579624aa2d22e3cf554d6756c33cbd237b09da66d3119122dc855d56dd531fafce15ac697a0
+GCD = 1a6e2fbc6104c0b239a3f7e6a03766e6dd5357148f868373859197f69a7642e876002cd4cd1b4d98782df06274ff812aa651aac20
+
+A = -e7d0b110dd122e35af8ed79ae43aa27ef020441ac1388acdebd5b749f27aaf04cdb77fe9c256056a57d038d9eaaeba1219c4bd80cd4810a5228a1d1f02522a2c4165d5c2b6f037c3968f965fe5a76dad1c8821792b5886459dfd4e85ed2ada0d91aa93962b5bf6
+B = f76c3229b089f799480a926a72b690dbccffc855ed037798ad0fc24387985b42c38f7749b2043f4a98e2f08e56893bacdbd32a810de632248ad751f8189e9295dd171820ec3a2e1be166d705727b277318b941b24e09ad7fc15ddf401edec76ee9101bc78e0de0
+GCD = 27db61c8fb818289f8e9f215344b58c74af11a14f914f83284ded8482a15bb8de8a9db38dd34c7405405992844a17ab924d883ea
+
+A = -e2f3d27203187a3e5cf54b9da1411c6f8c9f957f4e0590db3659f7672f7c30f90c39f882ba3dce6e253d7032e12842304d1512f2f8cf2a50cab5d68bf2b2834dd4cefbe53bdb33163de76b64873e5424045313c56d59b80ddade9054789e982a403bb65578328c6
+B = -4c8174139b7e759bead0961cf4f7a0f0ba9d7cb35e7959b6341b8d5c40bccf457ef1d4aa71e34ffdafbca5de545ac21a616630c06b088f66f813b45b895ed03c09ef0db925b1e591944f516d23e84d674af3b3c8b563aa06968e0b7c12ccb268745229b193e9091
+GCD = 404da3111bd24c9d57f33222db8e3d21d422dc47e5c345fafc4583140117700e9af716d45a439c14f6fdf4100c43334cd907c823
+
+A = -2ae801e85fe54a39d7cf57a85a9b587266b13a1a66d0b45f99f6590c27edb66e93ea09de783e0facd674d12451f12e469cdc05cc5504947e0f825f47c56eb9f5a24578a64b2d4969f5e7e58a416ad42eee972583c93e6cff5f7d17a49e7aabb5d3b3067f6674724
+B = 1fb451e42361ecddc973baf000c41627320f97ccc79cf7040000166336842fc8f88492ae0282cd3505dababe1305b28e98b822d61f2b2762e020e990f9c73c02fe05d00ac6a54169f31aecf3de71c2154625e6322b730108b3a0faf3ef8fa9b7846e1fa734fe7d83
+GCD = 175775fe5c314f5472aef5100f5cfd5070d162e208f3aa0dc5881bd0be9d2e2bc2c1a429dba9a87bef0d290fa224f57f3c51421cfb
+
+A = 19a8e72b0d85b767b86e4fed1a56fa7d8bd12806f74324fba2fa0a401e84bdfae41813840923a87870864c3797d366873966ec9c50b5b74312f76fdb2dc90947334ec2759484815ea3f25aaff304d8e2ec9f9601ec0de922e014e47157bdf8dfae523abf5b7ffa92d
+B = 142133075f16db0fc70140604d60f6ad1b381a2e1ba9dd909f49647913849a63046dc796b6211b3d8cc012b81f7ccfcc7c1f34a7a20c758bd9accc6fad1778b205ebe89c6fbc79edbbb52fd2e229b69e9919f219e607e0a183cfe990ae4c33227c5e974c86f46648
+GCD = 1b4502867e44fcc95cb18e6cf7614cfbb7289d627dcf04cb95144222287720dc5a4d6e66a7c67380dfb1bb6e7a134add79d54ef39
+
+A = -6a61f23e7ebb4c529feeb351b113ac3bb0c7c7fd143f4dde7f8477a09e1aa56e7df10fdc032c50ed4ea13d94ba17133f3bca3e75b251569567027314c7713d29c1567e26b25e2ada8eeea64cb11027573f815bb07d3e4f020445018bcb5437928d3a74124ab015980
+B = -3d6507d2040b484f2d6831106074dcdf0dd42283400d3ee91c06cd0d2c011e9b45c908ce57e9ba9e9e8f99795db35f6359b538add1a5f9a89cdd8b0a47d60ba52520efd36b7df2e817ceb0af3173ef26d8a1d51e62c3a1d4565a9ec318fb8d64ccd67c9bc7fa91a66
+GCD = 6d88cedf1171d34bd14f314740a17235d5b42ac5d5ab45bdfeeacec79566ac5d02162d2a4318cef45eb0310526d88972f4ece44b2
+
+A = db6e6d3f7d5378642962715666261bb12bc444dfaaaaafb4ecfb51e3331bfe7bd0f492a9d52089f0ccd439472f27e9884b0c8f0e6ff0d4d918ab1a97a49961f124b685d760298879015b2c55458eb287efa1a584b4d4494aa87f76a1ed2475831c0e9671649328a1f
+B = 545d328c07d7ac5f330e6106aef053cf328c627a6e961fdc8f339243b6b6837e1652c45d711cc63f4f31412d64c5bc743736b5b83fa90f80f9c889454bf3236bd61be290127642c7400e920c4a61d8871f94d44daa12a3ce430c42e396c33293e041df8cdad262d05
+GCD = 219160f378dae36736cd6f2e31f03c0e754e17c90c804e10a7846b0dc83a47cae3a96b4b0fea921fcfaa48ee7171da6e6820f2a9a3
+
+A = 488e091d388da72fa2cb0abed3bcd9e6f27ac58e0c90b8438a9bfaad0571dd13a80ae3a7a432d0d0a98d5aa90c39c1d2ac426fe05bfca9cc8ac268404823c085f6ea58014b173ad8b793b2caac7db80881faa32aae16ce6287f7cabf2c04f6b388be9fce99c86c3177
+B = -52b3abe79c9c9788587f864aa0ea25107806ac6645199177e52daf37d9857e8595abb8d7bf50783ba69665daeb70c2dd5b0134e90b6c0f2e378d4e5e40150d1cdddd175e14e2bb3d037b9e2c17d770f5ad99f38084d9f752f2cc829c3283dfacd334aab5f8ebbaefb6
+GCD = 125cb35f34cceff399212789eaba719d0b45538091a3ddcf05c3d15e65fa7bc34fba50b4914c1b9e903e2a9ae8cdb4a0491aace99cf
+
+A = -181ccf1874f401e08ace42a3228ba457213d53a083b60e1e9a8be244b971cb6680f72ff00de3c9854f0e7e408164711b6f38cbb3496fa3f967e664e125cc17968a1e98392c08017a40642bae1c31cc461660dc2800ad722c3391219eef0780f541ab2883f3b6c703722
+B = -ceb311eae2b8dffe86286065c699a985a2f76d6b1addb5bf452d63c65b205c05a68a66761e94ee7b2df45ccdcd8b3e53d396b4b05d17acd111e3ba2fcdfa7ff7e4f252a613c018c7446f4727be226b7047b40f567ad01ea71701202897ecf2fd1d647d9761374cb0e0
+GCD = 1b542b873375e05818c4aeb64dfea05c8e5597de268442a9736584ac1cda5563f17bf63944f91d75d30e8b2870c14f6c5056509d2a
+
+A = 4095d03187686b2b9b7c7f6c84eabe070c51d08975ee7eb2686d392ab2c93941e72a0e334d850c1b170b9824b0da68423b153eab9ec0e938d7490e28cf2f1f0fec23d9d15d2aea07986ce24cc96e6bffc59e0e014e17873ca50430a0e98adfcdb985800acea4693e9b9
+B = 3e15f947f151396f3ab5d34b9422d83eff10d64e2398dd16b87d4f2e4b318c24ce96d417e21854dbba2fa2ca8eb9153cbe59e954aea408552c11fc1fd9d8914da9640ed2d7f63b71db529d6da7a2480bf2b694049aa5e45fdb006d20da0743862d7505252f6900716c4
+GCD = 26cfe771d7313fc58ec5b3e371615b9980aa87d146e97e5ba3a331d5dc9e6f87ecb1b904b6c12f0ab3aab542e0a4f695b733dfb0fd
+
+A = e999572693d3b0a9623f71dd47baa7e17a581aae029c649467a0dff6e8f5cea5374dc9d84a9415146a0f6c3b5fd6a80361efea5d45d00b9ecf13cd6c8e82d2e8edde26ed0de1c63062292fd174f52c49d5eea8575a31f4da7a6384499860420bb1e3f4f9e127d64bb4b
+B = -2ef614cf1ef09391cf7c8b884779c2b939f1614afe829521143ea9a1cbc4f82af152c14e3dd9404a4c108c33a74fcdd86f5ed2f5de48064785f9a5615c91dccac85583abffa169a000a5d7a99d15dd6e82dbfc25a3c28334764bd8753b5effe891240e83616431dc5b
+GCD = 5c3ae308126e13d2fbd7a2c4edb4f51f6ce9fc344c1663747ac46bc130db84647db2806563e594d5fcb0189eb32197a7136498052d
+
+A = -5e930ea21a9f8b1ac66514aed615ceec44ff5974e50880790cbe158a47cbb87fc50d7700a101ac56b1a36128c7f2734af94dd1622965c01336b5a004438396f5d3672511fd65f96341f0d773ebf9eb3f2c66f966a8c44aa6f7e91896b26445c3d833fd5806f6fe5039d0
+B = -65e79a04cda2712f2e794e8ad1adeb61eb074b920b452f33b8799e60ceaa6cd87c1e2e06f96c90305e94f04c6e83195dd8f43830e516c7c4b46f5ed2674ffc82c9ae277b4d1294414c1819531b32fdb98a099f47a2919af87247313b9731cdbb8ad071c83125529cfcb0
+GCD = fc3c52b89fcd7e6f49a7e438c9fa46b8a55bb6652e2318f8608c36d52e15a19d6348a8095c7f4db73a9e56a8fdfed9c72084f8e9f0
+
+A = -84f13bf6f0d8a29032868ffae98f452edf3527c911ddce819f8b0ec8f114c8081e9e9b1736dd737f9e4d6e3d7b09f7cea0a1cfbda36339ccddb06cbe936d46b73aeb1dc6e0ce92f040d6b02cc9e05f350a55d21b5367514ecb7ca15f51de9622bfd21590804168fd698
+B = -999d27b247b1acfccc7b7b98c65a82169d070527d46f4730531a1164b7e209ff399584510d61112b8b102a8de76eff6aa5b2ff1c83ac5cff7c35b56f3cfb8c5b65012caeda4a01aa23801bc1cea112a5ae9873d1f67d9327323800a694330fedad2ba847933373faa82d
+GCD = 19bd3e4990b2ce78e4e44fc252cde231bf9b82796912a294370050c7fc8bd816055929dd272fb86669a488ba21f48fc017729c11cd7
+
+A = 40ab8abede551d5ca27e7b0a88c17f2874f30751f1656d1c6ad4a5c7ee000c9d30d6b0452059374c3fd802a802b39ef88596c3ebf51286794e023ab1bf943cedc0d4c1dbcffa0f5988b502edd405908ef951172ac1284cf9269f1c659707f5b9c6c6184b1e83a3fac3903
+B = -1ea9afac1f523ceba17f9353d677a234b95951f2eb5b39e237e2e2da7cc8ad7a329dfb0ed4b6f458ec08bbcad3edae1e8ec6c643cfa7d78e37c47ed17fad01471352fced9a4cd175b00daef6c32055d6fa330d579ba79abf1ad23c2b0b6cf845c16a168422966ad6a9521
+GCD = 742c4908e58b723a29dfcaa3c5120ad4c3ae897b6a409ceca1542e3071431a9f4501b2dca936a55a1ea4c52de022415f5496200d5e1
+
+A = -d65e10ea9da6a804efdfb78c2c35bf346f712f8523abf8a64be09d33bcc7048ff875f2dd85e756df59f4cb9d1647ec2e22ac0879b55167eb52368db6b686d9ab1b9f50fc25a51b1a8984b4e56e19ee978665c67bfc3ded2be29cf23497a272d7553f12b193a694a71fc07
+B = -25f0f2de52f719cad71d5e8c49a767279fc07b678cd81d0ee7f6a0259b63075c8cb2749c44cc9aeb222c827fd0e7f500f9cce12b20f8add4a6fddc49ef8069b04b7e9463d8491c40a0d5acdff872d8beb41a8c235c2aa6efc340df105f47d817679faf7b84dcd14bbf9c3
+GCD = 13d763c408389dc6808f678327419c39675d8c3e509822d245704ce2efde4df5ecbca672a8524d20e43609b59ccccc9240d0cc88df99
+
+A = eb5d1fe1490a460026441dbb2154bb80b050e28b2261cd08551b1d8214572bbdeb233bbe53db107cd89e36c10fa707bad729135dd34350f1470fa0056b7b3f040eeb2f89b101ca2eb4858189a5d32a1f522bd365e2ed5708eb513343447e42ce4db3f391c457b343f0b9c
+B = -275c2bbccf82396177099782b6b792ee766b7863dcfbf2919370c0ab8388639654f39738d22e9a15888787d3fccc4b89e97ea25f1928e30518d5b52c87f37326a808b63fc7d6249bcc565c1d480b618e4cc597392042e7f6b80871b4cdcdefe7eba730abb56b3f672478a6
+GCD = a86abccfd65c2d3948c8c66d37c44503b7c954b4ae6ec8a17bd767e566ed950ec76a915d16275b310bce27e8c7774004e5dbb93e89e
+
+A = 3d99f894630629dd0eb4daca0bc9dbf6972d6864983f195efce5764acc3b2e56004dd2043a46f13a07e46f789dd9d849714b6d69399ea8a16ca54b3f83b4d00fdb9a590bb3b0ba8426c24503b36ad877715be61ab94eecbdab0e383a5567314600d87f43173f023b6537a9
+B = -93de92a135c29abdfad741da74e7a62f2f3ce7f0f989ead3c9b0ec92686730f22417492508d1cbcfa99e20e055d446fc35d7c0b19ad915400b79001ac7872353c1bd91efc67e57c0a0e1a20779685b36ac0b0c7772ac86c6bf84596472807364d59e8e0f514358c7a7e076
+GCD = 105d443e7aa1a1fe7901d6cba452bf6e7126e22d0e4a8290b0b6fdcd5d004d61139b0a34fd570f18bf42db39ea0520c8e16bc4ab0a0f
+
+A = 25634b628214a935d3e7fd404872f2c555a995f2bbcc04b6639853a2910cc5923237303da47581d7a6ca8dec026f3a4ed91f5297eeaefe83bfb488b6b6a0e4434b8df6a92b35d1c62b79f12d6568e9b0166bcb3a2022f38c8ae0bafad9beaf482d54ed69f5292335d24ba2a
+B = -13a6f891298a63aea3d3b5534f310df9a5aec26cc5585fba4104a9ec2f8b9fbbbf6c0a3475fe41b404d370e720758a299acef1ccf18adc8f0b4f24f96eaf6cf629ce887783107f525eb900cce5255ac7725b20c61a5f504ce3bbd5867f9e0eb20ff9f1cea54bec97726e946
+GCD = 1eb8cdb0ff88ff52c2fb3bf262da3cb089d8d606458c556e6c0071aa5b6c73bfe9ce0e87c601415aa1aa5514c7390b75c3ca446f8c412
+
+A = 6bf11ac8a63e61eda3f99c2d3bb0f4b1850f0f8bc61fed33a1cdf9fbe9cdea242b7edb16931f37e13b31b0301973db8195be4684dc59a0fd669d715b05a5305f5d0f3f8d934152ee4ae244a70b93c0ff4edd693de85908a45ea7b27eed119ac3094eec9ab7e33136c15fb
+B = f9b63a80daec87ecb5ad2b76b766a5d1d12acaf2580aee55289cfcd74bd9c112df6aed8a5c5289759f4383e91f45936df32ca5c39506b21c7d25dfe5671f7a85e2c23eb0eb169d65d2257ba719db23ae29aae6d67b4b50351257f595c1915b5e928bb083f4afab9e970ebbc
+GCD = 668f6697aef26603d17db4fa223e0c162646e5fda615456b827ada62d3d51eb4d48864d795e1b4b6d26187b9b3da633c79fc0699a0f7
+
+A = 119a81ec841f0d8bd69eecc1acb4c237bd572eaf8f966c9018f837fd749f9c5f82f48a57c180b0ce634ed91858e056157ef6d1ad8d0a0ec5200b83e400b0d25d52db788e35e7bd6ab967498b075782bc7bba32d171724422c87a013bcb0e39d2d5a803ad899371d3e52322df
+B = -41e59655552cb7343616d5e71a557eef92dce58eba99222d0565e24be49eb963190bd67907c4529a1819bda6e50662c717e5705c5b03715ec36aa65a6376849ceeaf18a3041ace1f8855864b9756af48416f71b7467dc9b3bb2e19fe1be639fd4bee32e947d83860d207bc53
+GCD = b43c412d3e3b1c7a7c42b3caf2351500acb33e9f49b56d40d6869edb21d870edcc15799c90b284b2f0b92d126f7f01cacb3955216b45
+
+A = -ba162696a00aadde76f476defa27f401a0b1963e7f368acf83f0a707e8b631d91c1abf1a9c8b7af1cf8904001eca9731d43db59ba3ebd7bea7957b2be16eadd0dd73caa85dcff3a55aa747fbc74becb0b7f4b1da30355a3c5de5d7150bc0b2bc14e576e9c4ef1581409e15e8
+B = -e31b40f21cf9db1765a380ee710170531a3c32f8f4e01a5e0a74d5fe3f47bae1a6058b591e69be101f362cdde3a19e53b36ae953eb4eb9875b960659e64de6bdd5d05e800eb64eda772e2766b75297d61d103cf2aa04793df17847873344056e502fec81629c9f59d3c3cfaa
+GCD = 566b2a150c92fe5cff53fa13081c60a5768338738ddcdb041f6254ae9701fc95f3f6077d490cb718d8047d497a180a71761a985e7bde2
+
+A = 22c0939846a6f38df4f5632d3a534e7eec997883242ac0614d833e5e92feea7e16c95a882137516ba604e8c39843f1998b9e83ab91c875bda4a7015c9b17e79674e851466b97ebc7f307771a4bd64b66dc869ff9b08131dda5f1d11dc81a5f4d0376bce0397dcfc8c2b59b573
+B = 297abf05fe0bb96fb9164a13b0b63d70df175d5224071bf93dd039b13e8144830d52631dd63fa76709da5da5dff517b4ff3e99610415e69e95585da111e926497efd1bf3c3d5ede1a3170abffb5a3825440c627fe8473b74f9655f985599b8ca00f530a5ae44678d29dda6854
+GCD = 24b926de88e2b600d3309a45b549a8086258b5aa0c4b4be2b523f84fac28e79814bdd5a2e4385545a3e0886ed4090adb6dab545147a9f
+
+A = df1e6af71f3ec05cde41d3741290f422bc5df92e854880c034c523e8d9bbd518664fc8f2a4eab867f0ecd0e605d904a98e2425dc51a20701b5e0413ba88602e992c7567d3836f38d27402d23bfc87fb602b202c2e15ef2724281c677bc57820a04856321f3bbb414c13a83e77
+B = 196442299f7a20f04d1532e2e78de70a46490c24c3cc080575d06199edbb1f0c315efcea19ce068eb75dc9249fd37957c3674a7015f0ec891b70f7eadf7734a91f58fe4df449f028487d74ccee0ace1d60ecb70c7f85a2477727605ee73fcdeccdd470b7ccb455f56c2341f9f1
+GCD = 6ab2c0b52cd70100f646b475efca7701db38134549e1e02f29ce74d36f80112fc95634a2a83b86f722e42f4a0da91611b6c538355e0ed
+
+A = 33413ba4d0fc7c3078e987f42b271b1f9c7ec0aac62655d8222525a982fc33f3a6c9e8226676ddcdd4e7d500dcf26efbb2298842fcbb57b12a76ea6ff2ab204478fbf64fe90a36ff8232ca8fb2c19ebecf0ff45054c6331b478cb364f837994bc1929efb06600147b220e61254
+B = 2d3859308e7baee210386e3a2b5892ab91b33e5c37217532a63da06f7ee35b18bc320420c1fae42d2bfc2c874a19d7f135373e4e0e0fae1fa5881765c166444d2ae08d7ab1778a1390244b3c87dcebb2b58b0eff1f4e68dcaee5feab491b5cd4eb7544e82f23169766266715ae
+GCD = ec8bb0341f02b244ace6db766a7476d995e5a1bc301d0f2b1d850e3c179b3952d84685f000626b856706f489af54065e7e69a6db64a0a
+
+A = -11d2d9c8031fc9ea2c73d76063265ebfbb0b8d8ab83f485c37747546e65d3ccb109ffb03d92e65b16e2735b4a2dcbe5b2b48e90564bd1fc1e298d5e405308c7ef62535a24b1e4169644c395c9074938c927963ff7efb53fbfbf3c7826c17c17d1a7a07f612348343aa6f734b282
+B = -2ff6aa64fa271f7fa062c486a45fdba3afff8cb8fb5cdd9207556be7dbd1c78fd1973cdc9da00f38af7d28b11f462b487bb080da8507314e6038d3fcb50af67d44493d13fcaeb0a0ab1751bda935b7dfb6be254bb2bf6c40bae715ebb22d302e5136e748fdf4bbf4be5ade6240
+GCD = 467a3efa7658c8dd0b3adf01a5da18939502d17f71d711c75e6de458a4bb53a7179f72caa88b166301216b319d6d7be0c91bfce3a0b6b86
+
+A = 1c5df0689b31df95b9c11fabfbbc11ce0df9c36365ad97b887dc36ba450df64cd959f377c94d12cba6abca9c3f2e9557015a276d2bedc26536c7ef35c199b631fa265f1b95ce36abe09d729ae2468c8acd8da0f7223e9a78805fae4bb8a5e7bfbcf88090dc71dc8f377b273b9be
+B = -63dc6f8b947723444d1f295fe25f55e0e0fb626be88d5329303c6694547dc4e6582a293172437664ae401e3742fa2c0dbc4842c494cd8b7a7f726ffdfcdfaa59e2cd705e176c27bf3cb1ac70c0f4d18d543142954e4eecfb4b92ef4b644f1bbb1bedf26fa1356c8cdc06dbc366
+GCD = 6f460f3d41c6e84f10944775f81d8fc4f14b14a1d3ece491eb781d5f7e922e19d96568779f8977866264fd8eb3e7209f9bd580dce89f36
+
+A = -abb0ff21b635ead4140b48d39df0bad16d7f2b7868ef1f257d47bd28dd162a703b41842cbe56256513850d2ac3c81b5dba11672e15ae6f75680e838071fcdccb9d7401047bd65a79c34cade8f5a21a5bdf0d0b8497091dcc0b6f7059d802bdf4c7e24b534f09ec234c4628487f8
+B = 7f82b461e0c911a23efd31e84491eb7ba7e6b6785b577c397890fa9192270f2c411c89aaa1bb14c14a36506a63eaef75d8c776ba2e5beadce3b9f2a220b2d784d2976679c8b1f5eb4a04bb716b1d00bfc0a8554743fce3f7938d2ea794f72254bfbea51c99592d4fdae708912fc
+GCD = 810540d59b7dc454ae9695b09857c20b648dff676452f47dd390f0ad937029142cf9d6099385e92785fabb29c0f3ab03a74dae18e273a4
+
+A = -1fbb7bdac932f0bc4de7dc7367f328c6a88899d2575e29b7f3075e4b26678e22fea51482f2f85cafc4e6d6349600d7d5529819c43f99f561e8bad73dc6dde79c80a3f56e2f95937ad77134553da9df81b642e0d80eafef05d15968e614181b92022f04afdf7356398bee31761190
+B = -51b1946ae0768a42470cddd66e74af29b62809620ea04724cd3db4d3c907b16527287252f4abcac7ad3b0fb84e6233174063113b542dc0e952e1bc0546d0e5fa1e09a00972fc5d58f226f6ecdc4671d23c5badf45865ddaa9606e000fed506d2b63390eecba015908586f4e4e750
+GCD = 1ef49f17bb05c77d852ecd3f6eed1ac0a3c339282c399f959ae5f96ddea688daf7941ea033a780a8e5184a5a2f61b2c3766a772ac39d7f0
+
+A = 9daf4d175bf52c34ff1400ee9f0d485badd2edcab3500fb080d6c101c3cc315740a8b25c7705681df5f70198ca36fb2b40c06361c5b547ef0e81ffe5f36d9606edbcfa2a0ddc30b8a548e61dbe44cd4a6ddf9b6f1481311f958db289c88d17f334a0f17368db2a2dead43d47424e
+B = -d86e0c3cd90211e48e4d2e2a2c11e3eb29adc31615739db79f56e3b8dda00ee099fab849cb83677f3e624fe65b26a8dd2dd71448d0e7194a70e48cc9b2abfaa73260353206b1569408360a166dda68feacfb92e9f47ec1d0a1eb737ce77d9b61cae1bee202cedade8bc70137a8f0
+GCD = 121536ec30d88330c55c573680ee87aa5c6ba1bfa57ecb31c47877f8403f37d82e9453757337c723ba9f10398b4e8405bb5c23b2410eb16
+
+A = -3f52d92ce99bf4d01bfe8d8e437c9ba17a4783b99f7db254434baa136cd69f62bf23543285737b1cb2eb25f47e82640a44303c308d0191b129d57e78a968f130920228c8157076f5e7c1b378c8a8d52d9bdd2589d6d6ea34f32615777616e2c92ddc9dd6ff6c9488c4d2116e89a92
+B = a72406b7cfe19e33f19315353e84d52092e77a76db1262fcd3b782812faf40cf302892a96c938aaf03b2dafede08fbd933675d759b38fc5060b9e4d18fc6c0df2048c8ea88c156ee62f929621aa58900d9acaf08acbc11f93ddde681833bb382a9164a5dd6628ff9f4d51c38f4fc
+GCD = 23d35279572f58a32bf8c310bfae00fc0a31703f773360784934631ec4d7e45c2fbf183c02db714827b71b5af149b7098b90103337883a6
+
+A = -70625f1fe61ca55407c478e469848c2f57b2039ee1a1e39cecad40ae2ebe917e725c42cb59d873518665842267b2a4f270fdb9d8c7998badacae48e8cfd47d030c998ea19a7cdfd2629037aebb6cd8a3d6c9edbfc4d7710db5b91dcae5e34faa6988728fa048275bea4133ce333f
+B = -13ed950e9b0b2db27e9536ffb1518687af24258846bdf2da04c0001ca90d9ac8ed89bec4580384fb4cda4efaa66b10446486a281eb4a47e1928a2974038cc26f862b34ce2c5e95503b051852b97c8e74c426c3aee5599b126bce7f9052b468319fc9a5b0f4b6e2f0222599c14e7ae0
+GCD = 6a1a9e6107ff8ab752c26c63cfd8db96a467260ccba0e24bb5105b0038384bd298c9d85feca738f5979be245ff94179952b7d1e440402f7
+
+A = 425150f8b168e3ec884aa0d3dd415360bd4b7dc7ad8fa9dc3ba098bcd4b26cfb751c74f65c91d5501d273a9e9727f96e51c93e3be1ca1fab1657c77e1e94ae3d54d5f13b12688e76852d6f6e5142f33ba325d927492e13a777bd804ac4bc55250061dba9d36268f6b8675678cc9aec
+B = -31769d01ed4b7660266e3a281f77bdc710942946fe95f88fc0d619367e96c2e0e2ebb374691bf3e101f4ddeaae4830ffc584eb5bc4e188c7740286ccb5e711154dce18544bcf7e2eedee03456b106f01bf06aeaa32c563f5055cbbefd214d9963990774d7c06b8ba7b5d4187cea5fc
+GCD = 1e57257d1bb7f7da39a84eb480982e2be899c5cc8695cf1689358d498d2bd1ba5c1b997b73f350b9e57d6fbab2cb604a92016893553fc56f4
+
+A = 152064b0457d1f5ce5199ed307f8d6fb2eb786a26f4baec50227ee329542c91931ec9954e9b2b9bfc02d0e94b14496a7f69da4eb4a9ac80d9ff08a03e08ee7769e7af91858d4c91d22ea0958089762994d188429c50ba1c938a79cef47cab55fafb49298ef78f73699dc5e016452eec
+B = 14ecee89eec01811ffd32ba7dd8057ebb019dce69578fbbe6a92bb9830b9a8a0ab706b0db5cdd26c73604c120ae2a1cb0ec5da42d6e08cf00ec261987ad6bc5c40a5c452eee68b9c12eb07770a309afa1bf7ef46adf9ff6c7b33a59cfaa12b0e71110e2a8ff390d8a018e8629514af8
+GCD = 228c70cc4c350368fdab7d2c11694d09573ac2f45a51205a69515ac44c457700ec1a6160aea10e3154a0d75ca606dfd36822b18cad603ec8c
+
+A = 34d488fa70f96c8550f09be15c8183b9042dbddd18e3a5eae1b749c43f686a72a74d822dd632d05d00e245ab255d5acc46b867b1174347db9260e7cf38bddc640bbb2e1ea63384305ac6736c27a8ebdda385a1e77d7f4830d9717c50f41b8eb83b6971788b308f701a18267674647c1
+B = 6342c841eb02448933ac12e4c0a4c947ad1522d5d9690df2f795e983580f24f3757c7f46d62dd199af7cd2b199c518335c8ec60308c1e024831e3c8129a05a8cd462f72291a1036440420a5dfbdace7bee8e901923a6cf72e91e3b2b8a98140488b1153057dc3324cbf800c619501c
+GCD = 26d8a5a1b445a70749d544168eceaacbc317f7cc9b6d299530dc84c17c032626645773360d62790cf387b448e854b2fe69396d9febaabba5
+
+A = -7d18102a1827dbad01bdd6c7503a2c648eaacae4d59f20fdcb5c4daf9ba50a061b51f2ff2e8892edf8901e7f134a2b41befc218ac3791285f4ad2a71b15151eca7bc0c601964b782aa1ffbd8355a07d1aee65aea46a9ca0effa1347a352510f09307f3d3fb9625de9bf220bb4374931
+B = 13d289867c1c9746429d4d0c76197967677d11574a3d6ae64cea892eb585d6a075f62c67e16ee4eb57831098244fed8796522c9c54bca379d387377b07394a209ac4653024019f37e27aab50a5ed93fc63c1770cde0bcd1e17f07797348a319c08cfe29cb021232a12ff98a7bc437dc4
+GCD = 51eeffe4deaac567e17ead80a7999402a0e206d19d2989ea9f3a3f83bc0fdcd268dda9bf0e027c1701b263ddab78ee3eb02b067f871b3fe9
+
+A = -4d03801708304d7dc21b7188c45b3414ec8032fd0ea7846e697122504426328eca1c26a4afd772304d8b0362339ffd2643bf559b426bb8d00af810b4831f64e28094c87d687b9edc02cd25cc3d4f57f5729211e535d199dca7eac80f627e72b7a92b460fbd70f1181791fd85ce8479e6
+B = -20b0610adf8dcbd0bd4a5378dad5078ee9dc3530a4830eb97dd5612f634c706ca5b49a44178c0a6d0c8c2c4ed495a8de503f117b67854cd32ec4dc8495975adcc599809344e615271413ff7032d43e9972b8442176ec8bf92da77ceb6072d95a2fb3a09a41225b24b50e48329b718696
+GCD = a191944a20a82bec1fa74edd6d9beb50d804b4e34e407a08069b12866ace83d284c0fa7c43c89e08f6b78fa7fe823dd1c5e64b42ebc1b682
+
+A = b299f79ae9db91aac3bbc5bf15ef8304314bfbfb9fb9c64957a0b326bf53969e8464a36a6915f4d03a7d1672717153ed94f6c4961887a453e5144f0f3522fa1032b516293b1ef8e336e10fc25c9e0ef7592ede46ca2a782b9d8943599b8187c4abfda919082ce2954d77068f9023cb0
+B = -fe2a56f915a31d8ac21e8fcc6267fdf5535a09ac4d600506c33758b8eadd10962130d47c149939848c20a859a5cb284b9aef71eeb51398b47ea489637c68295a968b572e179445b0b29ae086159f6c4470983f83d7f3bae03b6483771d775bd415c3872dd38b092309f660e4955522bc
+GCD = 344956c7e865b221e4e877810c66da9ff1393c6c2ea44236fff666255183f925908b6a81ec9947f17cedc29b2eda873703c782368b0a41c1c
+
+A = 21cfcf98fb4ec6038090493313de4c1e8e7bcfda867710ccabd5b54d33e7f1016ef527ff0745c9df0bd1f1665a8a4cca400daa44a69f89aaf21503b264571725680a8c6b13df315766cc3f721ee56a5f5bef3bbf85eb4770924950f9efa90d6a0275b6fdeac1b53fcca3f98580c977075
+B = -124cbdf72fd4b3a7bfe1a0baf4eabf0a5e6786cd0f3c39d2bbac5f32d76d937d035ee36ca6da6178ffa3922d55eae51545f7712e77667e4154c54ff1e9b7fa2b3856002883ea4794aab1efa4979647dde79befcba839d49834cc7a4afaa7cf9a505983cf215380b5ca5b2bb07380d1643
+GCD = 235aac61a6f03eee5ceb6aa8ece87f79b7c3f6ff596765226985d4f870a84ad61ec3d501c0e4486f1fc65a02cbbb38b97d16836d0b3722f8b
+
+A = dabfb52277153dd079e78ff48bc86e2378bd7c35f9c497ca2a58c1a598bc9006e1fc39f7780d45157f07951b0baef0cb73785554061295bb40bc4e0366fc2db7debcf25950b5216e56100e634a6e099d0f1318f63d1b229059d7fa4b08bfa765fd21507eac0a0ec19463fb47ad53d4350
+B = b2cff63048095d44bf3c30c170c9b26356c00798065191a4769e61ed7c1bda05351e001bad901f7af6f069298a8bf232e26853707ee4df12be95237b6655b0e1287e82bbba085b1fd11514a47a87993e76fcd243e1ce749987d1f207d42b204b114690fe649c7a1e2bda8cbb330a1f2c5
+GCD = 420c41343d013942898faed835ef8a004a630f47818afaeaa0fe78395c1618f6867bb14c654a1cdbfca7668b75179f4f9f09c72c01625ad35
+
+A = -592b9ef205ce4cef0cfa8d53a550676c30be5fa85997d8f6a5545296bb5d2c1037cfefa15d7cae50896415d061ba41e00364845f6d48688f0be62c6d88cc74ecb0aebb8d8fcc0fd68bdb49ec1d80c936f707e46104ba1deb95d8cddc248e1273da2e4d0cf76ab0e9f6058723ee57317412
+B = -700104497e0af12aa11807e6e038fd35f916e3be0ab45d6dc826b52b86c6e43ff208c627e6f9674ac508997a871f265fd4f6284dddcf55053865ad53a2e4f00c4b1415d6d0f0e666ecbb858bc71737e19a525c5719ebc2265c5f96f4569c02422dc778e11c740027eccbb2b26f9d54af3b
+GCD = f41da4e774c8cf0411518430d1054e870d59912627a6071b85a3192da4b53be9f945f011e281d8268ed10b07542166b9235b50c1c27186cdb
+
+A = -127986f90596211f77b9821e753c5022a34d784427b4a4f30ceddde83fe9d20abfa8e9a730e28f65f9486bdd6d3f93f54f929af03766c3bde25d8fe4c881d731df113b212e4a5912df537996428f23ae0d2c731923a6780b556077c52d7e65a9369473013457e3fc2da148c80f55349e85b
+B = a0af148d46f9a054a6a2d77b522194db82712645cbeb6cfa6dcb60d658642b8e79d03d573f174b414d2b72052e576ae17d4d6df311e1939c749af34b6dbf45704c0243bc304018ae1d4408dca0f84ea0fb8b68ba142cb25afc1b7fa5d2d27697d05d8f2b0f48a29252e6bb668e554e47b2
+GCD = 3ac63917697d8b851e31e2707246c993f3905ff5064ea40b48998af1a17b837cbdcc36ccb84dc66b46d568e1c86b48e58e96370c08fcdd64ed
+
+A = 21800697751eaabad7b50a1bf3a886531c25868f98569111d287eb0acf3ff9761da66a855b86f1c1141aae8a024ae4e9fba7bcf70e52d29016a46682a3a65766fb2de223acc3de7f23b27d7f3711442f969036e3280a9fd0d5eb687e268c89b1b06389e844e9dadd3ecd0cbb85ed00e66f4
+B = 50ef0e0ebaeff229e3dcac026ba0393fd80c688141ccb394540c8f7aca1e346e01e51c13b8e577a21c81ab647dfab32fa891b208bba4c5adb62e1caf925481db460d34e3ad2601c3319d337072254cf9cde7a686e6c3a3a68f8296d48844389c6ae5a4f1cf5001b228c86c67c4fa61942ac
+GCD = 3c0964d9a5bbf5f02fb5f5ca166c87c2d95fc18d341779716bacb3bb6fac8540b89a7393bcb38028d536abb80eb8a6231ebc388de445c0be74
+
+A = -9be4a14d2eb6059ce4fef51e508f9dae6ed8bea2601e7af37d08ce4a25d4e218cbf6ee64542b15e63a4e9faa6d52844ecd5c0db9cc6abb4197fc391a6487df183182edb387ca71db6bf2ee0cca0c95216c61c3317e0cb2004f395ebc418b772011e297afb323ee66655a2b89c557f3c22e2
+B = 142998ca35994542ddb4477a2408c608efae341ae411f9713bdd6e2655183cbbea4f8d20fdab6dba1d842e11d78f7ff6a144996db296416dd1ee6f7fa6857e7b8566d412cd6ca39ed61f5d40e2db3eec7fe8932d71392b239238412bf0d83d7026d912fd078aefb384fed5ec686838ef442d
+GCD = 75b9053c7343b6dd11be59f1dd9746cf1884b74031ba76b3dcff3a23048c77468950c08f082708bfe8d71ef6d379c69c5ad93d5611cb7ffa23
+
+A = -3f7cc2e64b2b17a3118cd9c6c4a466492bad86b6eac6d58539112e7ede1af981c075f2804db23d9d8b30144d7028dc863ea20db0acd2787d05ca6d36010e28683c95e496c96dbc32cfa2eb7a516ec5b02093fd4a456673c8dc4491651d7e6fca5ea099ca84c82af6f4140e0185139cef5e6b
+B = 1cfcd5f34bdd9cb4697c8ecc165f825dba618954f95b24b71413a6a40894a09d6e4af422e8d0f8f681eab80629be55c0f3a728710126eebe4cf08df78a8ff5eeff12ef1e6558ee05a68f23b92b41e973ed4b72ace6c27519d860d403c3c8a50f6c28abda9e112dcab848a7ce9f07896d218b
+GCD = 8f94443edcee33f32a03e4d0ac350f58b1037fba3c577b68536338fd921a14f16031459eccc515f775677625a6cc8460a03e3cae9071ec4389
+
+A = c87607c87d106cd834f47c0b318b2cc26a097d867e8a2d99a0b57dffbac2a81d9e024ab10975831a2442357dc6cf51db46d0875d26c47776a4b7514e04834d2a7415ab493469617ddb3a3daa42f6b63a0d3945fc88d966e590b969d0d0166003f0f5b87120b82a9fdc2eccbea167263658
+B = e0ec85385e3444b998d097b598f14a3a8bb91507df297629c9edc8cc652baae04e4d2ed2871eb0350d5601f5f005e184b3123d97390347e5ceda80c50bf866dc7f5b467646b443fb569be05b982614c630a6b5ddf869067bb6b00b7c2685a3c1404a35fc5d1adf9922b0a77ec487f6f37d4d
+GCD = 1ac13ed8468055875db58597a872f1923d65aedb6d06b7d779dbc5890815070172a39b7221e701354db329a1d6d229fab23300227bcb6bc7299
+
+A = a8a5ba7e7aa9d60ca7bd3225ade327db4e3a2860501d0c06c2f76ad323055c4c93762c9f9de5e4f91f995f8c30d0124b29fef4b0b5f044e036668488d4524b51501d160809379eaadb2228fa7c72f12d76ad4a7337e82f80ccc4b12040a2dd2bfa6b04b3bc2367e9952b1126bb41b8eee63e
+B = -4b1addced3750962dda3d623895550cdc136a3d8735fd5be0042dbc9b83266f2a04afe7631efd1fae63e07b9e326247d742837187c8391f18e90fd1c8e89ef56d76ef33e9a62d7dd382145390e45d21f968a5bbb98f137e8bd4c12c05ce198722dae28e6303a8b06410964e72c86456bec748
+GCD = 26a41ec2520d0e53241e1ead9dd430e2d0f463a49c2182de48ae651eca7beba2e348227c5de45971e8b50ba1aa77530fa9637ad890fa5526282
+
+A = -74d746195612d73fb3a87bf0b0aebed276dec5bd53b3f627757dae7da2ba904bad275b235fc81cfae0b620b99f8318aecd8192e0ed0d619fb2cb3815ee34d613729662ef3871c05ca2732553303473b92cf56d769b0db68c4d4203b6abc5712f76fb84d26a9d1b6453eca768ca8fde5442a1c
+B = 11a3a2a590175cfb9a35b38b8252aacf833264262f8befdc6d791ab33b7607125d5f132cd91318c9a0f7649d134dd8bdd0d203c52f0496844673434e5fdee36b5dde2d443f120addfa43509c3b0b1751ce854e8ec38ec97a7b3c1c9a9ac4349bde3186b5c574f710818f03720c5ec96e779894
+GCD = 61ec699a16aa56f2bbd6d54545561c739e074230ed76744d5a6a7d6aa117b2b20913ff1ba1ddec41ff4586416c2c525e5b70b2d403e8fe3af74
+
+A = -6ba555e1464e72531d2e5f1487352e2b2de72055adb71cc6666ba9df2208fa8b1039304cb0849bcb00db52033428c7f269c6a5e85ec8601a39918f0d7b01728b47133ea490153be3afba1fe7ec3fde13e0cd4cd9e073fbce2cedb17aaa89e6744ea5fee19c67de63db0db704df33f711535933
+B = 4b380882d27f3eed43f69fada8e33c35d455806352dcf6368f270bd7bfa3339f55c7cee88278b7dfa8c353a019da07f9633f08b536b5423879e1e8a00a7b2990fd3da07e0065fc15954dd625e9d5f9657611b80e953f7ef1d07d09203efa52ec0e94fd9c4378306339e2eaafab831ffa44f3b5
+GCD = ede25177adf92afc77f73bcd13c27fc426c0e71e68c32b3626c1c85d88a3f61c5b613aac5550d234fcf45c0ae8852bbdc809d88baef414f950d
+
+A = -1050f62a8d1afa340bbc96099ad58d71f3330761fdb0a7ea85d0871cf15ca081d7dd3770864caf8a50109827992e23c6de993bc8f2753780379ab0bc6a8d0798dd8ecaa32ee20dd68ef9b3aadac8a6130141b1ef8c4b4c2b5a6b391e027845f866b9785eef0dceee47f8870643320f1f913b6c4
+B = c00aa815a83d0697be1ddb85f09a7fc2163660417e4d78abb898cb31cd8392ad78055a819e6103d0f57154427a7c17012da60a55c00e0e446f6222cd66c713432332a5746fbb1357cf402bd324021ba60579e8569db17cba9b0bb1d2a3be9979410ef3c45dcf1c30bd51a8f0d191bd219f84d8
+GCD = 15f18faf0ea0bc24c457e024f1732f27faa740b800c85eea7f33708154483dfc13bb31bf235dcbe05c19360b138e793149c2cc867c1a3012c1d4
+
+A = -1e7c9043f408ba66ae9e516fe04d091f1b4077710449ea1252b6079292382674cf42360dbb9cc4325fb2904b959f0f96f3e4c189b2a54c5a7b2bed28994805dd81ba88ac42f5e6d515abfd23c2aa6834c52942c4ef351e89597d5a746eba26922504717aa8ba866d596d3f488df76b319405cb0
+B = a39e070db3d12c0ad6d16d0f467743e93ddae20105faf38ebc0604b26cb72c8a5052c580b6a7d9eedfcf6b4dc0c7bff0496240aa93cc161887361772dd917fe73011598aa615d074cd5d531819f8371230915ab0ffda00294c2bfd685d0f2af6a936b61442fd989daf26b45f84c613bd49fd8
+GCD = d75b588b75784ec3f5f930c160b00c2e754134d40a287a0055220c2d44e9639f9ae678260e08808da46da6168aa0adfba9efdf911ebfd025f8f8
+
+A = -10c2cb320c2080bf10a8f7d264c1731aa43c9680e43ec0f0db17e95d525e77c7abe8bac779013c56e7cf9c9719e8662e56c7cab18dc9bc0fa50017de1eef3978715253ec9572e5d25dd15116aa17b21afe28b1724f7493443d811cf0413a8bd0f19083d3924d4f06356571631b00bc7da09e5760
+B = 89143b96367b6ac6575b3b43af2070f5354b00380e76d261029cab24f6affd0cf0ea9a834bbc066e577ff74c0f3b83aa378268599ca1dc6595df5b9c1d9c384c069825d541167a1f8081424ad4a9c479ad17bceb48c6809d6b6087b3b14f7cdac43953c5e43afb604f49017582c80c6e237bb9b
+GCD = 479a4629dd49cd992df32e7061b6e633d5b36f7b0bdf46e5ea1a58957e768322b6d50dbb7cf465b83970dd1d18db4425ef00f4fe15177d19a741
+
+A = 137c584c2e3e8f22402761826526914c94a569bfe637b4c445db819af68bf59c9c4d65f500b5e217fc75a40aa716f53881fb754153353bad32708b27e09090ea23655bbe48eb146fde3b4bfaa18ddd0b0535df0fb271eff6733c295a1e88085504a5f19eade18cb7d6b621f91b3dd0d922e87b79
+B = ca574b12fdd29f9efa96a0bb6927a1e6f5b6079021d272bdf0d3af8ce5474cad90858d5ebe6d4b8ba5bb22354dc3f09e7c02928adfcb2135a234f22a33de4d0c3f6dd76213246471aac83e35433dfaf076aac8980f59395fb1e308b48d7802978a9dfe8cdd6eaf7689a140577f59af3e9ade8e4
+GCD = ab2f03c36ae261dfe73fffcab8220364db9d5d6322eb47b62f0a2fa7bd7144b04d9d62c7d1f2dcbf99678a83dccb63767731600ebc4b151213d7
+
+A = d9bf4b25b423b8d7f918d7c84db26043805edf5dc666d50e64423204d034ca0e04c2196ff6e50e6105d82ed70898e4db5465b94df304047679322d1dfef4b9ccbb86266c197dddc6efd7cdae3f4078bba6f516581abe247a86402e9547017831a27e2954d81af188605a78e9cafc4cce01bec55e
+B = -11664c1ded93b5b17125bb9682cc1022ebe41f2319df909435dc6ed611bbd20c80ef7726a86e7a66e9e924d494ced304107b3b9728a2ca0d5f23ab395c464a26060b58b3c8efcb1beceafe4df58a4db516658b67e212bcdc9300878fe0136b5887c9e7b5c2eb4f1705127f8209a7055c505bda6ca
+GCD = 2dd732fa3470ff80786adb0dd19531aa95ae269ed7156318e468a6e3a4c1c8b4372f43cb7dfa79fae8aa6311f32e4a4cbdaeff248dc8d7ec15b2a
+
+A = 36c86a4c4768f05f89951d00fc1599efa0b6a9a327dd5299218bfcacf8b8aa81c0832b5f77ee061c25dc5f73255467d5a1ddfe05320c33b777b9e4bd5d09bfed75105049e3d55bd90e462a42471519ef6227c7a4f98a3412a89ab522cb8f2e37c72a11d38bb2e2142e2454326fc6707d90953afe0
+B = 3cf3f312c89d5154dc4372e89fc024f3bcda08679974a475e02b32e5892697f996881842532e0adb07186ff59a76ccd64b11ce27c2c54b17bfc3a2959e58095d75128c3cb7c036581f7d74075100a009f52fd16281b264a87f32df8f9da2efe5287eeaed40a7292e0efc12d1ee73fedd4deb23f4
+GCD = 3ab23c322e9cfcf456755bda46951198cda9d5459a6177bfe06156d05d7f7c817fbe1a335ff09e9bb49841d1e43239792b0141506080b3eecb38c
+
+A = 196ce36c230e58ef3b4567eb4c2a57c026af2e65c3b63b3d34b9410f2b8bb210409f14fb93aaf1028066239f18c56d4b28490acff831069dada4a6f93f710ee20990ec07bf754bb67f67049f83fe9ea9d490243449454e12cb73c9b7c247fe03b93a5d95802cef7c2c700f2e89cc74d50ddec3900
+B = -73ec289010c03b2ca31ae5825b002f8d2f8384dc674d53880a50e289b84c1c1a64bd78e035f8e952d8e935332d271ac50917603e334c4ddcc74c0ef7c1495a3b586a63702c5d34f06db2b36b23150845b659c37b397d0a4c7cef144178a386d28e5766837d9a0e374072a902e5be3852ce0519380
+GCD = ebc5468c61f0fd4ea0aa687dc3390778f8c09b3cb3e95a4fe30a7066deb667db88730d6331b3bc1cb47616a46a0c8603a394601becd29a815ef80
+
+A = -2e0e5fc49093a906628e9e46db3e1d740f72a572cb3407749ea43dc32be2ab4a0f14580c29d1a40647c2e778c68bb49cc0419ce9de51c42f2bbd77d64344bfd7f19af846f1ae396961a5f28f8cdcecce1a9a7e1a3624757a75127d047bf1bb4d2ac151760399d9c64d856a89c65019d7a057e2cd80
+B = -11805337a04695510025c7c8583a3b4e2ff969ec75a899ef5f359571c49467d2509faa0ca8009af84798da75632607e1d181a510f81d3f9a3af6b5cb9947afa71bbfc3d9f715968a85375831ba72028299e33f7e4f59b212079cf2edef2f5e18715c4c1e77e73ad8cb0ed235b73398798ebc12bf22
+GCD = 219ecbec4d671fa5b9eefbc8a0fc5ebfad06041589134b7f8559f1c6d5d4ec9fcc6e2fc6793a17323931dda067420067b08eddc8716cfd8bc7d2536
+
+A = 1698769009b130a86faa6cb25aa286d770892edd267adb3b265958c9a49dc382de5361e9ccb26319cc27d16585ffedf0637958738ccddf7bcb5280e45a1c323cad72b34d022f59b7ea813bfb650c740ab47092cddb5ddcadc880c9e5c3fe5bc7c74caef8b88b264bac3632a9527e3834b3290df6403
+B = -a23b83d8eb0993a2a9a6011030177c675fe0cd8e0757e502082fc9384a39c2dac8d4056128d89c7bfc509ef29a818b3ab9da66e781e28010522ed625cebe4172ceeabc0a8191c0db4f9e004824631afe268af7d44e1883e07f71634aac006c60b82898b932e40655d87af6b8bc72fff4d17172e043
+GCD = 184b8443e4a246d6b8b3eece09c8a2f46826476cf5d02645e763fc82d915a4bb2c90b33e45e1671696ecf6c44796d80d00dadac6b1237b76096249
+
+A = -40f89a0e67f77eae8ca0a49f0b66df0a90d75f7cfd08a294cea5d594daca79c13f5d4e74dc31554daeec693ab78378f5cbc2c4853809cc485b43eaabb7fa9265adf3ac5497adbcf2bc746a5023aba4fc8cabd28938a1460b2ff122a3cb3f1c0b831a86e5419e106ab1b4e3b1e38cd9056f36357b9af
+B = -362fefd818d1c5f2a76ede54d0be2728e32cda5fc535885d8f65d90e953a58808d43ace7203d95b125f1308fdfeb00ae2e4b2002c690617fafecffcf5cbdbcf69378418fbe71ad90956e358bae6a0d78d4300f8c40b2382348bd76246169081233991d7bba235c4415c3b640c2df06c8cca611aa8e3
+GCD = 33ac061690bf4548fcc29a05f2804868dffbc0ee311af714fbc873c74b35ffa3dffe04b649bfadf05fe571afdc4bcd1609fe83ddf576c5ec2734f5
+
+A = -15e1f05c1381306b7501c0fea671598fd6cfb53b27778e68e40ee79d0b3ad33d3ce5123f99c1552f2aba31054fe9b579d3d78fa63619c4d90cbb652fcc2e68408046acb69cb1a7b57ba420c0ecf57995d3fe1b970062f17a1c35449e7908da32875ea9ffa886a373179992c9f57c919f756ac2150066
+B = -d9f6b2044c6f95f5ce487ff5cb732670dec617e3740985acb5996d385ab7cefc4f675495e353c7ccb97e8902a891569fc7477c37467ab90236cc0a5e7093f2b477ce37d76dee2b922b4bdd05d4bb214626eae837e72761c32d6769ac9c5d967dc99c4736349ac0ef155aee59cfa4140c33b7504ae5a
+GCD = e9493f51c5342ce3613efb829673772a28bd4425e268684c0286382c1785c1850019927be3aa788ad96ae463162cab7fabd350721f14d628902232
+
+A = -2038137c239f3a7f9e9d2ed434c2f9492350f945d4a4950290df0a156cb94ef41e6a7942708b49e258e9a614cc9dbc7f48b1757192b651305e9ec29677131c636005ce1ea36d4d4d7fc32bd341647f4f842ff14a78294ebeb16fcc44a9b39c69a530444bc0e52a6d79143e846d176de1a2744273d910
+B = 4865069b26c718f0610fc45bbd1dcf3d3f9fdeecede27bf6ed8e0be9a8b77f9e1313f17381120d5adf3880ca0a608308b238d1210a2a7af3e2b4acef515991a4478217848bd46276b74fdcba352d426e64d36d4df5f6a89d565802f6f1a6bc5345b5a065294453e17750713b6465e51783632fb74298
+GCD = b1014148a7ba22acef4eae05bef50e7e45e6ccb04a459ef6f54fa020b8a539f9f47c6ebf79d343af5da7234a55ee45d721e4d5e0b798af53d5a268
+
+A = a35858daa90f4fe0fbc8972983f24fbb68efd917ef8ae21a8d2c9d62d08a6e5da13c5cb5bf72382cd411c5eb89ba63edb54d5b34a193617e6b7149d94479870c8c1072acde2eb9954b51e628358246def27e863efc55322a28aa2082d75c1865a0c7e128a241ca0dfc97c6a6956be06ea8e8477afaf4
+B = -72ab83b853b1fc47ec4f0fded9a2c281f3d4177415e2bec33026e26f3cb8e88200c739e142074d9714407b177a36dcf3c36070063d9057501109ed19c3db5c5f97bfb14e4284f6fc6bcbc9768f4bbfe1c9ee1c3091445f862fe56f8e8bfb8db2996b66e647ed728c2ba3ac7c04938a1bc76b98a31af0
+GCD = 6cefcda22c30ab0fa89b4d82712356d12f5a2672e0d31687cdef039b9f2292b305b847c330e759e3fb5c276ad29ef38f2d60d790e70b1faf83d4144
+
+A = be345e8fc34a17284af741c7cf0d885d1042f48ce5e6475913956cb8519d3506e5e071db788ff6f81c9917b1d0accc7319bf348bbb399ea22d99ad96c76fa89d8b6d4a3e0ffbd22502e3b018cdeb4debbed4269ce6f74dbfbacdc3f83632020960e289f247747277f7336b589cf9f83854553a5bb860
+B = 34131d13ad1fb2c3621f67718a324c4db373141d906802e673bc0229ccb5e205ae6563848fb218d6ef1b1cc97008836e0eaa6ea7c9fc00ff712c3edae0655ee7d58d7ddc03f8475c2b5c098fbf17de0e97efc8eec654af861861c493b57b76d3ddf2bf4b40b8ceb0e2398006c16d81b59b050a1e14c78
+GCD = 2fcf3e304ee24d66dc7a8c3bcf52eccbe508e3c12f1951407aba77cb8ef367323fbbeb9b7700ac96ef08909c94a0154f66f332ad480103a7e6d8338
+
+A = -549d7d178daef5cb05e4e12fb881d3c0a49bfa37eacc23893292b7293082eb86fdcec97745af18aed017d7110e839b3dd907762beff45f5630a598a52a893e726d229e299c4264c0ad2fc4f54bec747537cca1a599ec4951f94cd343434b0bcfb772e91431e22f2892cb280c7fa4b43c5f3538c13fb4
+B = fe8666fddcab4c9520dca891c1757451b778591213a1943ef85f9e23f85bc4db4e1b0d5b7cfd354c84de41c675460a7a20e934df07ff30f93ad00a96fa9990b88caa4754d17429d04b8f3adc29f9d0682cdee2cc783d928cdc154e1b4506d6ec233bf14d0a77448606adb3df648b41472adaf6e86d73e
+GCD = 4ff01f35a245dae14ee3fba70c3f06dc40007a11615dde076a13ecf5cee7a29bbdaad794f4801bf089131614b7a7b731e27c370b11a314ffe2c8442
+
+A = 91fca0655d985d0a48f61070f899e9b1a993730a4e050df46dfcbb87853657a4807c21c14027bb72ed58dee5fd378295b5337f67070a9dd10162720f52da293f28f9f821482ddd2424a2843a7b71011ac40b9e9a024787563fd3bad45132080b8b7fac2525817a1a310fa74e4e6b0164a3c2b5a6d31f4
+B = 49f9fac8189229122779f80602d45d2f114011200d662df9559be0517551f2ab1ff7c4f8cb40ae8c453e1b3f17a8e1ac4ef9614438b8e65200b45fb1555a2f656fd2dc4e5b70b1b8aadebca59fb7ea51b4d28478add3a75f04239125822725458d404d9b0c12c2cfc7e3e3296138532310b7c19a4954f2
+GCD = 9c41888508264fac660b6f13049d0d8aceec75df39233f761f775845fc57ee9991c6d643341da4397ce7b37507c485dab704ecf30fe3375098de4a2
+
+A = -d5636b21254fa09a4afa28c410c7f054d7a343c0b8b02af5bea4b436e50a7d365b530f36a61b81eb888c0cb117e4bea2a7080f238e0337747b3f6d2231e229b0acaeda580528c97932137942c84c5ccf79a88307ffc885e16f44e38b6519daea34a9f771dad78cf678a7c97ef6bd02e9b7b5cccafc3df4
+B = -b4bd518003cab694a4a5a19fa86de14f2aa94c473d24a1daeb1693477258962812562228dd9d7ee8cfe94d26296c081b455bb5387ce8f2da1d32ebd6eb6304e766782986037050f275f2d183beb5193f90842d765b2629107dcfca1622666e5908b0f1faed4fe4026f305bc59e64b8a3fb4ced86dc07e6
+GCD = 2d7f650c9ea137da64ad1ea979a9b37912f8e5460246790f9863c78664ed042c024d22dad8909db33925a5f96ad33ebf72d5fe5be8851dcac662564e
+
+A = 283369b25b345a445db025a9b3ba8b4b16234dd03875c5a3ac716ee7b5f903c7687ad19181e7e3ee928af8d4d29f03048172b84c6906570d27b696d395a16d0c42acf513c1e7ced504cf4f72d057c503800096bc9dd79f87ae34bd734b60b6a9939bbdb30e0268a5968d22a82a258fea497449dc5ba456a
+B = -216cae4a75235a114aa89a9b4d6a5593f17f0b1990297215f213cc9e7a54c67c75289a09db8fcd668d75fccaffc36600e4030b40511e35b4d2c9efdb37f81dd082794d6d14c9d8d8651fd279e12262571731d8e1aff6bcb63d789f7393d1444ef19121755e25dca10c0c21844e16d0315bdbe1f4d2b0164
+GCD = 31303a60581a3924d1bae6e9641d022063e9278ffcf08a2d1a34b65fb9f9578a6f7d4e9b87fc81fd3020f0ef1eb69ddcf49132744d25c096c0e5effa
+
+A = -128ffcd17d717821707bebb8e9f981bf88520b709964c42ed568feb9e18a53c3fcb2b2147d01a64261d31b3c1b7528c21376e8437bb1d255502785022bc3e0dc8787f73440b91090727a51fb996b61b9ffdad9c43e913764839dd982bb1c9741bf905573e70b6e7b0471db298c85e44ee74c7412c06b59d4
+B = 1a771b29a19e8be7216cb670c57d2801364f682064a0bd9a3356a556da2e47b7ed08fed6b7bf16c53745d00ed7fdf6423bd385f72de2e396a1322453e96fa941906ec6ab3dde3c21be503025126d58559495f09b57c38a610b9d90da1e0d857ebc8258a43544e617a730b3c97976492570f969312b663aac
+GCD = 2a4e74db8109672cd0e1b4c45f1b59f67a4fc4f7040048f56063d6e844c5d49412221a155848dd7da30f52d888c8f81639dba4beff684c1e22c786c3c
+
+A = -4e95166758c14a62731988165c67fdc3bc68b02d52e9af110c0c9ce4e911196f03217f8a7d54a6d12a61972ca1df4c8bd253674c847ac159f64f91a24f8e832309199736eca41e407f18f2bf18ebff9fe53f5de87e8d919d544150210014b7690bb006b09821d1bbd75a77138ca8c8a8ff1f5448f9147a88
+B = 5926e17df70df20896814a5dd08d6cf51830019d36b136c009136d518646fd3a77d4ce7dfc1aa9c33648b7946aa65f88544d608af691914d29fe4c29f60f55e58a2171e339333fc32a31edafa568b29590f6d1dd29d842774eb6701dcdff04a91e58d2826c2f024653ab3c92dabc011bdd0f76c03e6893f4
+GCD = d575d16c240a93ee16b05241c69c85edf9d11bb5a24baa9b06818a665c1110d6a82229312da519ddd652ab003d10c1ac442e314bebfc786eeb73ad2c
+
+A = a2ca7519384cb080569980a1ae22c782d773d44452fa405dd3d606e0b43911f82b8270ef948385f814e70ac095eb0def562389a867b042d3348da5caf5d584d189f7f26340e4a08e12d1b1206be7abdabe6ee9c9d0d7b577dbc20f8814a7e04232a8e6b61f13f3cc8c8427003c78f370c45a7b325e2f1d4
+B = -12a401e8d906beac59312ed0cae4dd6ce6a745022a1a704fd492541602d38d2cbfb6443c77eaaf9cf1ab4a2327bb52324be9381912bf538dc9e4442959482c40a9567b9fa6989b652406589dfe2f02b08ccf39cba85cd3c1061d42c905fb369af3c764f30cdcbee7ada624cf5d381dda68ee2dd203e98ba0c
+GCD = 1dabe7e5fc836920b45fccb0ee6fdd36b9b2f5460eff40980cd013c3adeb3fab941215034d98361fed1f3210230189bc7536bd3eedf379e1dd24ab5ec
+
+A = -19c0879ba44d3e3972919ebc0ea6b242b121e593e817682bb419488717726083267cdfb5d9f5f4097d72877b935d973fb224fc35bfa3bef5950089766810e4dbacc04dc528f724d5e848524910a69a01bc899d194de5e3cca2cba60ad86d2bbfac7509d61b8fd4469b64c4ac1458cd48c15b6f987f992eadb
+B = 2d8570618517ebedabe68659fc76b01ba278df8328d75c0fbdfa1530c21910f4e43ab6230717077c8aca4f418270dc8f290c7310363ded726f66de3c4e4992f76c9c6c26de623a32df133e006f5455bc5c72061e321e8d5d1469d937c2337c1299b5ab3822654cea10a503d1dbfa869aa4ceea8257da66bdb
+GCD = 3594f8ff717c30f4c8aabe4dc8086b79330bdbc7c10aef171bfaaa28eeae6663a448157adc33004ee5e9dcde8f2c9d16c43d0cda95b29bc75a5c49923
+
+A = 45896611f96f24b3765d63aeebcef9dadedf84e314c926d5c782da595c2c8bc4223288f616f3456c64635cf84dc3649c6040aa993d13f705e459729661e3ba0bf02a25f0f9108d47c630e92824f3ee76346c7d76cec4d6fe57e0afa67aacca8d534489a27fb23d10a82a44b315b2de982600f6567ff92244
+B = 12b62a7a4e0c0d3e830ce467cb87435d4b5162b780e13e50301fef5c3fa3a61af15d7122ed241b6771b198bdea5f3a38525f94ad4036dbe5fb86f08e40b5a9e0a5cac30c46896745afb52e261ab50b5fc3298e4521e7283ed210f697d5f0e0a69414774e5ad82830f1c56b154720b1c27946f49c00e56d99a
+GCD = 4fd3c3efb8a8108f78a32fa3de1dad6eaf9c5078dd2985378938d6c3f8fa9ed30a2cb072d8d1c430bcf6d45f58e4a6475870b563bb72b945f69fb5682
+
+A = -203c075e25bb76ece9bf8441de82b86e2ac215f4e4217894709b0256819b438a45051838410b7c32238cbb62785e3975a91d77286d584723fb3a0f598440904af00dc055bdb1931fbc8d3fc940e5af8f9d9b159bd2be17607be1d787c411e25b1e014436ccd787802474015c78a49a6e05de42c8d214722814
+B = -5410706a185e0febc19bb3e106d146c1cf63f61ab72d770ac9048c6069c665423216827721911e7c2f2ef6d0c9f2223506e1d3ae5e0a7ad866d7d2e2d1f4a3ad7f966f1ad2c8584146c30a5884f3c45caf60d784f2544541fe688964d3661fff7b03653de7b57543b6990ba4c2201b738ff6452762b65d31fc
+GCD = 1cb76da3e6d75f90901e5a968d994d467180f26eafde55232c8dd72acb136bc044b2b1a1fce1e93e2ccfc01d00e541e208b8092ec77b7f1afce9f6d6ec
+
+A = aca40d6e53c58740ecc2d8e3faca8590390ae0fbfc634c065ddb53062164cd646ac2aa4dcf6107d9a6c74bbc013d8da5cd99ba62e5e90e6ed44dc1a1ade96d402d297a265a4861c2d32d2edee48c02e20a38eef1a7eb698661a03d5f1f11d0c56ff71a34110e5a0003fa83329cc860eb74347e86084f806ee5
+B = 213fd4fd30cb71b48b070590f5e32e479dc5cd3c4647a582e7a259e59fc50ff12d086a637720ed9f77ea7496e233932d2ba95d8375d09d0a559bef64cdaa3e5c3d635d8e32456a9c0d3d9182a2a899de5916a747c5c2493bbae171775d8850df88341872547766f8488acceccc49d88988e2aae3a7942fb005
+GCD = 149f0d624a09ed71cfa35f28d42e0d74ffda6b91a522ca050e3b51b85c57282b3c181ec6a3a792b187c284e99961ca8c1fda63b1d44b48c6d1857a5275
+
+A = -251d8412b8d830274ae7afee7350de4a6f85be2f3137544e060c71da2a134f12a50a12d5fea6ec9f80184c11142a99453e42098fec72c6a7138094576687fc501833ca08532fb66c4c67183c0d1aac05257b26dd2ae69f26bca68b70fd5aa74a625b0d2fd8b3226ff2ae84a2831408d9ed3d186e2dba4e1cea4
+B = -2049c4a7415046d0713ec915d86ba58fe131ddb697231fa35daaabe60bb1ca0e59429062812706a6bfe543d0c659bde19af203666ae289648f068ab574e26704e156c0146acc25e6134c59b070851f502925c8fedacc7a71c4f7f1f6986cc077e80313b2b3d4976a265ba108b792e4fc24a446e1774012386c3
+GCD = 88d12b39d37215c55f3c5d8fbb240c59eefbb4ea896180fc95e7c82bf4125b10fb3e3a2a80a08e8300765609dcf67d7f5672a7c8ac1de07a879de4a243
+
+A = f83eb1415c011049d463038d7db7af6e1557f763e723021c14314cdb37acfe2001eeddc8fb8afb676b2f8f1e1dbf78808c5147b4feafc8c425fc917c54e5b60af824194dc4d2a50b74eb3b14dcc6e99c4ffc068efd67a3d4886f85eeddea92aa09f58199b560d493f6d667ade709d6d469a41e1feca789cfae0
+B = ce7e7861e1c786e9d7e42c0a7131cdcaa7b36cdbe8458e2a7f2d5a16b3feede8e12e91ea24fcc01a832866ddc831f044053545c6182cbf2e9e1e1f6d50d1394920d64c99ac6071b8b8ff8a62de638c6904638d75add920bbf06c79929d6a44a923e60f9c1b9330f196b69571dd7e7397939cb91f52372a97a14
+GCD = 738c2164f5ed456dbefbce33b22fb44dcfd78872accdba08f621b79a78c2dbcc7b12ff67a24f15d183ef1fecb37ae1ce305585b681e83eedcb6563a65c
+
+A = -138af74759224667b0149821b2d1622437a80b8306f243e0f03fae2dd106004b18fd68cdd5a2dc2a2b20678c0cea6b4423154cebac3374880b58c2895122daaafbbba75540b31324f36d26107a32ea056e2bee52234a3f54cb4fc81f75322f5826adb80dca1f416d859e8ee48b6fc3e6962cfce88e89371cf3af
+B = -71480328253bafe5b9968c0a3e6871949eabc3acd98096747db188fc534729f17f564c5324cb6e229e06bab4ad4764b66a0c642ee4fdeeadff48df016f57dabc378c05a348390e9429f49057bb09754ea803fa3fbdeccf8b459733bbeccbff1415241a8c14a6b76a82afae5e71ce49c84b88dda7896e9b92c08
+GCD = bbea99bd98e6a6a293dc79e1628603b7ccd0bccc1713ea5610e1d4e7bf4cf41aa73e4ad7c86047b7b756afa41762917ba81414bcde22e573e5d38be4b3
+
+A = c6ecd02ebaa7fa09eb1b4bab64a0a21a340641ebccd545d05f2d723b711d25c522a9206c5a6b506fe2e19d13da4aaf41284d76ad12c3b9d509914287a8bf4a012bdba4f270f44bacd3d523e3a600bd51a900e414df83a4454d6252709f4c07bb4d9f03a397f3dc1db7ddffaedc119ef769e96b849345d4200ed0
+B = dc4a269266fc3d7a1b84666eed3fd1a1a2387354cdcb8a0a7f84ddbc1954e00a18a73698fcdc5ed75fb262fed30cec241152305fd7af2a7fa8cc7a90f4ddd686c7b4425cf199a8a5161c0552d22f47a13baa30569ea17d7ab13e2db73cd9eb879938229535dffc62f83783388c664f64c6cb037fceed9c0c902a
+GCD = 1242c618cb49b1e5f0414bf98db968d0aaa4ced8b22862e72ad7c06b7d4ee6acaf6a53b2ec54111e23c8698463d44d41bc568ce6aa44e8d39b868915666
+
+A = -68767e6f7b1b1f1b7791c6d124ea675768e43624642c0a18c02c65b17c23b21b21ab7c389bd263d778d85df4e7e9e068151cf54e46956c62a6a3a15990ddc912f672ed3f426300d69737309cb327dbf50fa3abc0e77fbe40a3142a9ca52e773fe988ec5e98a0d4eeb059f27bc39bd23786f6c55fba384cae97db0
+B = 49b702d1f7a2f770a37cd2d80fb5880ec0e567ddef08a26d471287379b7893d1139b5614da27262e303e8901161cec8bee11d8b58ad4c055313a996c401b14a09a0e52f053530d57bb21c0f1cf87bc87195efd2aa06737c4087f4c44ce794be02569fdb8a1d3c14ab31cea1a7b865bc8e007d547e601a5d60c6f8
+GCD = 3ba56275ca3b715d77e7b42b719660165c6da197d768cdb21663cc86ef4ef633d9ef5a32ebbe1784d35a8ce36573589623beef5ee27403d97d78b04b8a8
+
+A = -127aaab3e40c06285a2eccf231e529c4e7a9119beec49c036f2c9c36e7a697d92c123a6dc842053a3a862648bf3f5b5159da1d750ae40b97734157093eb3070924d0c45652e9b003f6c8207556fe7e93d26f3760fdb922aa9667979f33bf82f8941348e354aa8e42d11143544a87991a5d01bf4825be68612a1fe6
+B = -ea59227edde6e23afd14a7ac889dd8ea7a160a63da1cf2ce94a55690b9580426c3df0a51073599138b567e2cc9fa3ffd7eb2ab2262b909052aed284a4b14a15498a03f7c976f4db515a70c799b483463d4c35b794fd72a1fdc6a71974a3ab63636a19e3ebc2a6b7a3763fb5fe7894ec17e03fe105b5a2cd530bf5
+GCD = 4de82f2e206104ead6ca55c0c2cff048d442cf31ffcb73535dafadbfddd1a6c115968c4b428b1ebef88a48093b2b56a09e15f2c12a941c70f772551a289
+
+A = 95a6b512180e78225517d22c10ec89f570041c4d11ac1439aea052c804b81f8d2054021a7f5952d4e3a1ecf8a8d808cc752d2b71569aa8cd62f86c179a7ca1a03eefc68797928820f8bda731edac663d77cc40966a8bf0e4a291260cce7a201ecdd72754cdc4d9c285944e5642414918a3fdbf4ddcfc073b2303a
+B = 3f7302e6a5a72d29302a27941fbcd36bdf744aceb77c0e19e13fc5a53def6defb13a9ac64e602ad3d0577b6b7034484cb0b5c03ce9c4cc042657df7c9f913fb6ee3729b1a82e7f32a798925bd6417689d5fe8df008fd8c3911bcb91274c2e32f892a69ad546a0f77a789dbef9bb0d7bfa5c8eaf5f00728cc60bf26
+GCD = 8977794c5a5e9f46a1f6e84100acf294b57edcbbd2ed9dde67d51eb92885b2738878cbfc5da2bd899434ff43350d4d7ec78aa4944da59ad135ead3c0d3a
+
+A = 693cef3efdf58a4906251a2a3be417188a977fec58353d8945484abb5377aae6f51de48f384c7376ceb4dc60676a538b2e65adc40f5ac6fcba8c745cb0294772c770ecf49f5ad784aa9124e44483537a814c2dc2a75d0dfd57fce4e1294a224dbbaa400de6440ccb594a654cb1d0cdb9a86d74002ec2f6f6c81ba1
+B = -3745231d4c7e85d22d5b2a7b511e34a5e5921fab4650333e0799e6263801d7bb212c97002a0eacdd23c345d8f3bf1dc39187e2f992fc03d6a74943d5505dbc6d99f756c9cd4c007ad555452d1544c189214f04d723eb8e26e8f487e024e06fe45e3d0c7e178d7645fc3e3e404e00a323b701eb27d5e2ff0e24fd22
+GCD = 1e39c2da58a27cc13ed1c28e5ff514304e69bc3a61f002f15916ae6ed530668816fcf158c31cbf4e0bbbd881827afd65428249086245bf5e31ea36dd4225
+
+A = -513b395f1a78a339e9113fd5c86f1f88665a1838bb46401bb049eb868817d6e79041f8b654045f9dd874bdebd02474eb276c7bcc5cd951935d15a3d3319af96697ee288762d4c2bee28ff2713f088d14de57f8418ddadcf1bb3b657f4b02f544cd9200ac8e2a871c8b9400433d99ed7e395895117307cfeada1616a
+B = 3cc965070c64eb6ca304ce8c477855d955f93e712e2b1fe87be8408eec38078d71c4fda775342a34f88ebb2e00fbb4204b0b32f10017b9d64c2901112bc85fcfc4361cd49c6f482982c5e81d53e92cdede2338c3ecdb99af66f56bb64daf57a5c8af9a8ebabf745a7a057f93abf5247f5f8bb348acb8fb7db29550e
+GCD = 7df3ca64d56be96e30807b7bf9e24ca7080b08bff91fd302f58f15750b37d27c3f926629d841b88fd49e922932601fdf16a99fb36b0f27d768e4d7ae5b5e
+
+A = fbcd99875c5084f1a0c59b5d1fe603fa71f69d3c6fbfc143a7bfa726dc9d71401860e3c9680139f1112b40456fcef378e7342892ef8433294d45899ae081b6f4df708a0e74626a433ca8e9214b69f0fcad6aa3c53d65f5ee45564177fb8b66d3868d9b2f1e66f04016ae835f2f2d857a33e553e64ccf204239bc5f8
+B = d977b0fd86671b667777d021cd003325ee3918564fa2a51f6e77aafbcce042b5f565bc95c5fc9e1b8bbe35e17e37c22c2faabf883fde575c92df7a7f01db9b9c0726808ac70f320b9af5ce6cdeede6db98a3592a59cfdebcb14af2aa86bc92c281d70fbe6f4ed3fa0444717bebfeaa715fc4a7ff3d8ea1508759ab0
+GCD = 43a145da2e0e11169332db03d9e65b6f258c36e5a10b9c00bbbb6395e6597b19b23e78568e931984304c841db119ebbba8a0b41ffe5f4e23c7249ccd5c88
+
+A = 38d916967815a8a1b9c77c39e9b9cb68b9f5350da609c2cfb904a77cdb46ec97d27261c1a40da198d6b4bb14c7aa76cc9b57fb2b09fc4bad131a01cef9ea7eff248d158be35c2c185357c43f7b5603c46973e06c151ef7475479c375e3ff408f754cd162bfd6cfd1897ff7ca409284d3e873689e3d9d0e61deb1cb99
+B = 49545674a69872a10218e111c9da7b19f75c87bcc5129349cd29f87a01a5c498870a5318849a92b715e7575c7a46c07b4f17d34b456b7c72f4f78a1017ce9036f1040b135f9f9c0c556ad9255918d939dcc442a8b8ef576f71686e13dce788fb3773c749d8eb93344daa67f039579ad47bd62a1afc4a5818d360c9af
+GCD = b5bc5937a6c81084ee5da4adcde46f5f476b1cd5b42c14d4e1eb30d912bb5fec64c9bb0e5337cc85087bc09cef3debfbf584c21b6c3df913c61346c4711f
+
+A = -bd708af6c65e7bb058bd313bc49ec919309bb291adc7fd28f57f7cbb1f1d981bf870ac738ba863fef2da0f8734c821fe985aaee4fc64db5ad6e7c55f5cb8dd4c9554b804b4f34e15689dcd2763316a84c628c802e58499bc3b5435bae10190f0ada815625fd5cbb6efae464746f191bdaf935343e94ae1e3d1ac7b91
+B = -a23c7040e19ad5414e36e9765b6db062bd8f0c56058abd95b1cfccfd7eb4bf030d19831c802b18b666532c20fe4ebacf1e530da650b8ed47695da3a3f25b7ecce8cffdf4eca155d8d6d2d6e37a3b398156e2f8bc2946161215e195e4a1feb5c8b7c4bbbbd03e706c05ca05e1add1096ad67e58e974c1558417509c28
+GCD = 12cf97727e27ae47b69ff22fe8cb90a81649539c3c6c6128b20c270ca7057953e0d7fd9d79be1bc408c60f6ab2ae27b25961996f1acb272b179676f7185e7
+
+A = 2ab0e6ba66ccfeff73b17a0aee7e9aa1d4abfb9c6755887f98fffc1fb1941c0f6de791ce56ee6a4169e0b0d86277f692a5e1ee871439c12850367c9667c0ddd736e31485f15ca10ac5beface9d7b4f0262fc3a8ebc71b3a3f0a8faeb6955c55f1010250cdb01baec3538f364cb9cee5180f36414531207274db53e338
+B = -8392986106b73f2bad56055c9ad846493527013ce88c38f926a342fb0155f5ef505d1294003fd3078b4bf64c2037df9135992bee219c79bd48c7d25ca40dbda361a9d24174588dfb6825317448ef5ec9f00593cf03e2555f6c7f37cabc73434185ceacc7a1d8bd4dc0abf87c571348f65432a2681a4afeab44e06438
+GCD = 22815e36702fa7487e6cef961cbee77287170245c74b37edefb86302d13a2efcc2e80a1c41b93bff4654d7d126dd6ea358a043f7dc0de17363b206d08dfe8
+
+A = 98660d75d759865da5b72d224d114ac0cd615edf0bee553522878cd58c1e2899f88423f3c3f3cabcf99b20343fc1fe5d2ae9fa7ebdf7693329c96852f3149818c65d72da9d82e7e18b6144eced2f33f1797569f4fbff3d6826de35cacf30f4cbe78dc01166ba5a11673d0a5826e0b24e45675cd1e1f7acb876b8bd5a8
+B = -4ff9dc61cfae64efe7300b8831782a71dc73ce10124598e6610f5b0d99fbda0aca67d52bf77aa2478e654651f94c338d80eab969a6afaa714aaf28f3d76063f7366299cb982db59f873535d4b87c2019b21a5f72340183d93746ae9fa5259e4a14f59077eecc1118f981a333f60e5cdfebdbcc5cc0f04dd054c0fcb88
+GCD = 47760b38bb7ecb7ef17a910843df934dd4c6183b2d3fbc243a61a09a86f520fe26ecb245e10873a1e2eace8c416b0a1ac48e1ffba8c77fb6c639b5c1a2158
+
+A = 2f6e87afcb85ddfadd400724f05f400c6df3fd050df7e82b2b1d13eec135ec933145b6ace02de4fd628485de5754ddad42a7a739d6f92f84161821503431aac74c77ce2d73697d336278d2edb0d4e8ad4963654f83505169f24dd514fecae11e97bb7d845620f9e98c06acd9003c4f5e88d49bf054b42ee10bdb0b87d8
+B = 4bb4cf7d6be4ff65d61b0eb51a9da0f9627b2a2fd47cf200dc2936dec8e447adfdaaf59aa0461a585a7b9e6d09d153f42cde62d5d45fbe76ddca200772c26877a81c4546118d8a4eb1f1e37cb81f69d83b9bf82b30211d1b7d62d3296574148023efc92b87ab0c5b436eb9879ea9473c38a5c0f91e48f4613ebd78ee30
+GCD = d93e2f0f2fc45727ceeb2518f390f16a86766578f20cac064816268b00a2536b9294017dfb6906febb8c2a37e6d759d9469e174be737f80476c4b11690268
+
+A = 4e7982f0c2a5bc14095e232c0fc8c042ac084553304472585d9bc19dda0a67af01c054c252596b493945bf24ebabbc677ca1f17243446ace0ef332c8b274a9e8ce78435e7cb0ec1dbc548e71e9943f618b799524317b3b4bf96b81a609569bf756df84279478eba30e64c28245c9365e6e4529a2309a7d8bbf9c569ef8
+B = 988ba75e045aee5d9ae328204221bff8198026f60732fc237958c461687267a716167dbb8208f57bff67ca01b51509352c09d07b4cdfa3a6b1c2c54a563794f688193bafdf5e1135c7f5f8298364ac39e3a1203fe3d5084022d83f948a9e1eb1d2e2e6962d47c31a4b845bdb7b0e487c81d0325a6fc0e327728f9ff274
+GCD = 3677decdb3cc82c048591e67832d5f1d0d0ec4981b5a1db3c1947aadb8734c66032d8feab033d5f3939e6a7057de6d45062da93e872222c2824458ad06cfc4
+
+A = -14eda5a73a01d371ff172abbf56fb9955cdc957ba14b5bb50bb7d8653edd85bbf77f88b19c0f0a404c432133082275fa0bf0773d284eb0cb22960c7926bc1e155b44effad6a630ed4104e88c745ffc72aebc944fd92c16394fd79ae59e60c253df0b3af16c3c3e9b2f2c8be6af669ed8bc14819f588687d81f2c9e8455e
+B = -4181eefb147341f1ead133ada8563629f09b6bfd0ceedb0b00eac1042a988628330bc5f399fda4c60daac3f07ed43f4d8a35eeb02b63f03a732909ff81be8ea9c8fa3c7da6f44201e950e3dfa8742c92f3bcbf7f246c7cef64439387f0466f1ff8dbb7c3094a6cd79c6bfec33dca8895d13213f831b00ed28eed9b8792f
+GCD = 228ef71b4dd7f5e653351ce15f2f96866658af3f69fd5131069be9d67fe302864062a91605a057077f32705041aab5cdfd9cd9d3b2e40b064efe871c75bda9
+
+A = 919950e68b598cbf741370b1fc2a79fc0807909475ebfb3cca608602dbbd609c2fa0d5eb5a7d4c4001fd60dd68739582af356881dc06ff3a5250348c6b05ff2e345bff7109afb5eec3ee95b3e0b6460d43676a792ea15799b23e1131481e8a2a84a77697b5d481f1efb38ce74260087546f77826a4bc77f027ef51f8808
+B = c6847029954c3f457a4eb7e1729434b1b91b0e91f9cc57723d15dcd22d44ef5e838425d627b9081f7ab2402737a41cd88fdfa587042b0afd380bab111070f37ab9d9cd7c8e451d966166c1259d2be0ee713f5b306a7d3d92ccd53ac4a3542c04bec219545e6496a3bd9edeec46d864f81c445b6ede3480a0b050eb7967c
+GCD = 4ec2fead1ba8656e2c3a7dc3af75f3abcda59b85a7f5881fa70f61cd0584ae84d92e21b3504ed80a42ea2486faf6b1db3e0b2811b5b3cfff028fb35a4a794c
+
+A = 2ccd42079ec1eb205fb71bb5b2de3049710b6d29095d3604f3843b1faec4d42825dc0882a8cf3190cbd643f837cea97d0f71b9cf1a70dd519a5df05ae9dbd879130c151974caa059dceddbbcb779c42cc2c7122fde58c91c5cd1d23b07470df75ef81e1fd7dbaca8966ce8e06423a067f3a280f101ef1c3f2e85b8508fb7
+B = 3243ff9962b4f282ffc4871c26ddee9d1cce6e17a3fe923ac6c301dc6073bbe21cb6f39be6d8392702ab4f9b7b52fa1f7333073724cba5465b5d9287abb1a702119e607c1dcfb2d109375ea729d8f741c7e0e1690e10f91b580132c8038a0901f5146415c1df7c822a5e2b1169b11ba9848ff198991621363989b82afda8
+GCD = d8e3457831ac26b35f7f5e0d759476364c22231ccf31a3fb1757f6f19eb70e72ce638fea07c49cf6e55df46fbd7e6dc736c929b212192d5b10835153cdc5a9
+
+A = 3ab22ca0fb114a3cf0e1a524752badae7b41658e30a13b7422276048acdc1cb77320c9b792f0e7558c0e79891c1457f63e7ce9950a3cdf3445b4a599741f9306dae697672666d5eadfc2a570fdc1917e5a1d360845e89fc1dd4d541dfbf2c8ce54113240d853186f5bd71dac2f336888340905e8f99df0f3c4f4f33e51f6
+B = cf7a7fbdc191b36c7c43ce87e244478ceb0fb26d379bc94262bb0bc2996307172425efb57adc446dbb8b5da556fbb05b2e89135bab0dddba0200c5308c9a104a7ee54b9f6b099fb6164056693f1913636ec753a9c2f429976c7f522cb0bbf22599149f53925f5678f44559563381882353a98f7ad6b08761d89561beec80
+GCD = 1b264ecbb1e5dac047c91b5514d56e098c71c0d98a0fbe7c63f8a38dcbe2f5c37d354d5ad4ef1bdf918c4e15f8dbdd0d75ad44f6ca111fb37ac076f61e62426
+
+A = a1bf367279dab65e06110c2dd811a96e54c2a3de86f7e5144203ccaf83bc59e8f9e3fb65bb3f32675f74eeb27f8c321964d7dbfb56e25074a836d7e559027285da0d97df7170137ea867b5af70c17f764079211e7bf3a5ae9f815237731bee6c5a4d6cc48bfb1eaeee6148b102035340831554df253599be539edf856c92
+B = 2497f8eb01c2c60b5c5f14aa63eea6820059b18be163b2b38cc6c9ab53956e451187ce20f31c0b4f7d2113a79728e6f5c578c3b09739647c1186f18d0f2575ccd47f7b7700715677c25ac4926209d5bd7dd50e33c497e0e0653b57701748d5988bdee1f632476e47771ac1b4894ca5165e9d4872a73b457c8a54c2f54c38a
+GCD = bc70cf3f602b6057f8e672eb7cd6f89de87d52b7926de031456ce68929b824309b5bc6e2f9b0b5653d91d305c21aaf592cd27a71d00c060a1565e81cd8a2602
+
+A = 910f9ad46827e511f8be5fb4a190710bf8a18ebbf2fe45778a4088e2560ff2ee0456c287368e9fbc7d44a539fcb116d6b12c7c8dfe312da6fb3ff1fe8029da86e212772826e9eec7e202e8d5f977d7c7646a3a5116bebea317861beb89fe50f5d03ade992e97d216e143fb60ce773b956764116c6e481ef971a7868277a7c
+B = 80ec11e11511fc5f21caf2f45c38b1e01bdbffbd7bc88c902ebb43a18c14e8ccd80f7d6e48f2b06fd582cdb9b4c9465fd7818b43eeea308ad4211d2e55e745b69514fcb5f623d80095a4334e1261a101c524eb39219ed185afa9d9f1ee84494c4a9fb80985a781eeb2baa5b705b5fc7e11b130f26bee0b18402ccb1fccfc
+GCD = df8c939bf1c3ebc939e26d20722bc605983378877c1bd88e9a7f33890406da770f82bf6802105f388e34bc3fa59ef6b1ed652e88c4c4bd0cc92db814bd2b19c
+
+A = -31110cf46b0ff782c66d87a58f873e7f55f51cb80ef55cebc13f32b09270fb7438313490c600e865799e95acf69f3f9d034c50d7f450c19ad312f00b53e13014440f519e5a6cfa080834defac6be2399a0de7e8b82a40194d505ba98b3043f0dc035549669256333c0c8aa0612b870398bec4f5cd64a0d8c39d5fe4e71419a
+B = -4c7f31f475c282eb7ffd707d0b99330bba1a54466ed6b04c2bab0dbe51eeae73017c4cd45307e518f21e8730bdbf55bead1a70b0016e53cf02660493e805edfa0fc85fc04a4d83c967af98da541403ac815880e8761e458a6a79d35114d3bfc2a145ccb6eb87b3fbc99ac8ee147089a9b99770b96cd380dbfb932717c09946
+GCD = adb1501bd969e78f553e43b80e2b62db8fb62faaf5296e3981228a0cca34848408b2d6db9c7f6b911f5ad64d99adb1cc74b041959576e2683112f8b5080af36
+
+A = 117d79a7564215386488902f48d6e8b50c034bbdb1e810f42a1c27dfe2da840eb89e9f4716a841a15ec7145de969325bab67bcb50e4874756468a2fd160996840d5c0df9295e5e12ea30d657ad1d097eaa2e74c641a9cf73dca638f13479ddeabb40914fb0901ec7b6539b62b7c30bc2ff785752a59f9485bf4c0e41db26b34
+B = f448af3a6583cf606497e82c7e1537350d1da13f008c31c4d1ac4a07632851f6141189dbc0dd03cc5136ec17ec8d3ef4b50b89497777b8514dc2c25057be55dc6cabfcd0d4de1adbbd65b2ed69f39bbb81994f32778c9238b0fe54362534fc105cf8a4ae767fbec8c6bccaf1610334bcf0ad7d8b5463f171f0d531e215cd4
+GCD = 19be1a451384eb66801bfbfc93a17e675b17a4dfc8335a7ccf4fdae172ef6933df35d602701d1d16532e1b8053f3be021f89968463fb47191814c2bdaf08118c
+
+A = -734574d9318e8c540f60023869d9429d619eb9e0de390ae72d7e1cddce372edac46c101e21e2b92b2289953c20d40465178dcae5b744a945dd96ed6a1236b8ff14c66ba8d25fe6cab31d6fd3e0fbd62d2b421f91f185f1d8ad77cb71286489f6159b4305fe665e88daef12c28a77dd61bbde725e852ca09c010e6d6c6c34a9
+B = -6c0f3adfff1e856a75c60cafaa68a0675cf96eafb0b611e42c0194d0b06a957980bb5ba074b04a02f3b8d55bb1d3578e4424de407bca731aecd2c098e99a8bb56252f392847c8589c7cafde16d27a72a7aad96b2245516cbad804a9bea22061634d283bbb2be406c2ae89a84435263518c33ef2b1a50027dbae69ea32b33545
+GCD = 3edcb3fc86abfe9890b558555644e2143fb68f80f63a7a71226c62672786c1dfee151bd28c0193e235c59aecce29f50a12e3a5e1ecd94c4e84db9cc932ade877
+
+A = -15c331aaef740df8cfc9062e52a59f12bfad55ef1eda131ec4607436c87f5fd15393c9e8b6a4234fb5d85199194e06a8f6898f0b1d62a8eb7fb715b27474213cbbcae6a999ae8578442c4ab214487bb12974224e7f9e787b0dc7be2a82a3edc6d7b57689b7e2ff67da9b5b332a9d5db38c0bc080f46198825966a850461a47e8
+B = -28d3dc89c376ea218114791d79e05ad9c6a9666d195fe642c18c971e8c2f26c0089d503cb805ac65f4f475cc25e9bbac40c82570bab7da7071c033259bf720c2a6f9d0ee87b2b27fc9a21a0ff15e2142e9f761c946a2e2fc4b7bf472d2c492635d6b2b94117d3fcda8dac96d96b9eee10060ae233de008726087391b6eeae90
+GCD = 177de3b3b459367dd89048f3ded5a7de235cd417dc70e0e3d381bd5c200e812b307d1c4e09a78fc6d7016d3d30c9927c0eb678c8c3d87c8b539d375c45f459b38
+
+A = 285695b9482127e98e8806fde3da4fa50c2e8245d3fdefdde6d8edbea9ef8e9d16a295794d720d9b652e2e54c42ff349c395f855818b441be2a43119969517f9d541a39c19cdd772b180ae4770022fe5c53361fa34428853d2e7c680d1d90cc3521f2f13213c8cef04cd82203f174336ded2bbfac3bb304036cc1a1c8743bec0
+B = 47cdfd479a80ff62478a8a9cc4628a6bfc4131ef84deb0f02465eac7bf710361199318fd9a4b032c0b385d4c7392af948b8f89bf188620861fdb60bc6cd74bdb544c58634b20b9ee1225ed2f24e7878c62865521c8ad6263a9d19fc3cb0e779e1ea8d370c3f0df037d660ba1b01c7a9fc2f71b416ccdf4f53a3a350e49579374
+GCD = 13e8a2a0a5386b21bd4dcb1585260b9ae40f3c9941a13507396979da9415fcb76fe623cd0ca24bf088cc59f8b05f4daeba906505d5ee6c94902cc18688c9a4a04
+
+A = -14f94518745c5fd856fd8b5080bff3df9631e1e9a4d4dbe038d86f9cfe21ee39aab3ed16e569ce7ac70995a328ce34dffd70565716b372a9af31ff1acb71846a66a37a6c9eea6df183b6c8ca4c57dec2a1bab9bda1bf498fa08c489fc4603f4f8066060eb1f0b29ad82b89c691254c93fe607cf4ee123e0b0d02e907c6e707880
+B = d7c5dbdc000192905bf5631f7828b7f24f183912a3901a2b1432943031cc82cf257ab78fa32adc5c18f6dcc38bfa7da6fcc6c71fce34d317861568dd026aa3a7afd53b31a425477598a4348b833fd85d62aa17bc1ca188c36a67d6ca56210cd2a2205c46797ac9cac519a8ac55f5880ec7a0b207ccd8abcc7f9b0b8e5eeeea4c
+GCD = 2e8cfbf2e67195e00a24c0453dd876590a22c680eed6ea0a790567947e97bf9501a1d4ed29bf0a09a45fbbe8346fd2587f07734c6604589e6d13d654a2deae6ec
+
+A = 3febfd8136abc153063b564a10e4d0bfe9c47c9d193071bf144a56ba6855e06142d3007373d223518382e7e09470f2f2105137d7ab2f8faa1e5d3bf280989068a253982a2a312b2c2e68500f40b4eb582a8fbc338eb80a582939cc7925ecaeded2da499bae15b7625c75b2e90484e0e323efbf953c6bf60be1c99904f573b6823
+B = -11a39f49857c5be8a407e1324c3bdb7bd74e3744d2aca071ff3528a0d86546ac7e86b4fdfbb4adcbf691976d530cc1e45690eb65c1c64a6c67beb53c8f6589dd08b6506d7d515c4206da4b5e072fe0a7dc64c3e5f4d46c32a1e8fa1edefc39ced8f80f49ec160de6d29ccfcaa932680c2a7a59a4aaaa9b300716c3c16b37557a2
+GCD = 36273d81ada020314268b98cd3d7c5c5f198c49aac7ebbef207c93900a53a11ebf8a182e1a99b58cb391b0c11cd68377b471d377f231803003a84d6a9d73a30c3
+
+A = ab69da9bede9e556bdf493c1096c5bf522b116c3a06b0d5705b51b70971c81832a97b6fde4e3cca8e1beb24ed68114954474f0530f1ed8b039a401d5c348c7e3ce3ace1c2ffaede886ab18b1f769f95b9beb6590d5157b39a1f09e12694a11877827b4b2957909b085a6cd2fc4ae84aefd52b8277e7271f3e0b1bb45cbf20d9a8
+B = cd5e6e26686a71497f72cb3a579840129317aeaa3f69a74afec69740af77b2bc0d735708294da2057dccc3ce07ea4371313ef88ba7b0a5e7e883e96a9bd0cc3be1c8048e47638d0598178b65eef20c4df2b9d7a2e0726f6d0ca6f5cecfe3fe4923b23e2b2ee92e2b4a888992ae67732cb6a75c25d9a9c35635b7ec08e09c1fa9e
+GCD = 75f66162283dae4916bb95d00f35d29e514d49b0755cf871f6424dff7010dcba0f5a07e69b7ed097c346c3e8c2ebed2db66f7c946dca8c95cbdec761244d7789a
+
+A = 57af33f645d148750b1ad790d50ba6e97731108bf8bd4c351a79842fea8b595da51dd5a25a9ffdabc75683c4a058b8cad823b22c513eccf215a8f44f70f7a491765a70d1867874377464104949fb0f76a4a20e4bd4049874817049529dd7d2fa5c020bf4e4b4699d130b9a9208274aa3947cee267239042ff0b263343fd7f8c16a
+B = -39dc77cdbbbfe740d05291eba1390db06831af0bce8bc093cb1684d59fcab36a4b26b2efa4bfb20d949d4922ff9cc64e26238648810021eec9d700638efa292f2bbbe68d42fca1680871c37a2731177d4302516baecd5850a59705fd6a471a15be5d19ce108a927a1ef42316c768f242fb7e9dceb385ef388a68cbfbe7d165c304
+GCD = 1b7cc6a8cd7ee5860029fc0657ecaed3a9ff8b7dac0277082995585e79acecb34fba5dcfa64849f67e2d25d129aa09704da1995aec86558c542ccb35019e39bb5e
+
+A = -17eb0227bc4867601423b5578e3af81af1d062074185c77cfbc52b0d629149bcad356d4203abe524b479500d9a54ff21bdbec39ea33b29de6cd9ba67d35105226719a34f7647ec9be5617dc99a651815f67830be1118a957676b997fd3cf8aeaf9e3658c8b858ef32918aa98b9b9bd6c7c7f0ec3b283f80bc7a4acf95e43cbc8a2
+B = 895785843bd944158c829a11236a374bb9a186f6fc397944d9809bde5f1095a355e932835794e01e64f493d1c3de93043979e09aebbf9177295440b616d19014698f0a9c46e03cdaca95e4c2c768801ecb543c11d0ec9643472076f563602652ef5996e5ae3bdccbe52083acfda3f4ab1ed74a279f179401bdf5ce24f7fc2cec7c
+GCD = 22e878c652b96562f3bacfed268adcf3982327e5f5a4d271b7547303f2ca7037565b8075e62040f61bc746b71edaef503868cd53b2e216302535ae687fa0eb73e6
+
+A = 42831fc823be26d259c1a55c2be8c179be174b62ae1d5322e445a2aa0e5a0323edbf8afa3220853322798bdb1f115b421e94e236239064b576f69ef60cfec499d9aea749157dda1a2de4495ec93775afcedfc030366a6630d927db392ba842002e67dc4412ec6a61a4724221107ec433cdf192d944cef4e61f5548df3d3dbac6ed2
+B = 34bc92fcc7a6b235184c18617dcc257000379ed708417900e69eaa9ba1a8931adeb89aa07d2c734186b018934844099b77f4088f17b98e990a696563bb7e9cd2ec4a13e9d1d39465f78428cae6ec1918afb3a4b83af34e7f0cd5982cafddb9f4c16e06bb96520a60f314e9ae311562d2e7d7b709e9a21b0d1ac92265d910acf3cfd
+GCD = 22d817c2334ab652927ddc39965cb39547d0e7f38351b738fb89505b01330b8e221064849d3b24d59ffaaa26f6b6ade2ec7a4834f7791c267438bd91836a4542d7
+
+A = 9d7fe1db937e25604935d50dbfa3aaaa34f082fd4666560cfd0b4f485fa5e9a2a123190c7b5e4e21a9d030f66584448d6d0e3b17671fbc98579cc46fc5dc8d254a989107a385d96c30580fa7629c5ab92497a42120f23a589be56d00e421c54c94e35200752e0c155336ae9c2f3f126e3a8ebb5ecf9c040d86c3e6364dfe3efaa80
+B = -6a1263ed757bb83cf53097523fe0d2b991f0e5857683840bbe062374c96118411452842ca32ff60a1cc2f9cd6e692f2ecf191d6d0ed2413f0addf86ee93fc2267bd17b13178ce23b5cab7d9abcc76a5c4da3b3b2c6f44eeb1d781c6d60606e4f3539cf5036f832ed3787ceb8104d81a15d76b3c3966a391fb54d615f5f231828480
+GCD = 37d0d4ed143057dfe2b8b0d2e06321150aaf64f1f2077b8185107416275fb711bde9005dfe09d451f17e5e0f8ff1d301b43893a1752b678082ed299e97aa33ef5380
+
+A = 5fe5c2cd33a5e6c2e7c2e2f60b84f9dcb284eb592d4ec1d6e70b70b08d72fe768f03345153b4530461090d697c2fbf164b4aec85b11b7683a66690de9649f4b82025cc77ecba25f80fa3a8c218b3dc6b8a6f925d16aa74e4bfdca7fce9022bae3869bf2aeab8e07ee075dc57230fc71fe0323155e3eb4b0fbb0440adb6593295e679
+B = 7055cf3fbc952721bbab8da1a7d689d779c58cba85645552ee8b307c438b25fecf26927fed04b61c2fab944f33c4dd134c1e4a3d5d29017ede3f52d5233c6d16e9365de1ee20a40d790f62016c2ab0d125021867ce8190c237c7197741ab955f990f6f56c2696135638be3642f8206edf35e2a7e82fdcfec2b92e576875acd12c2aa
+GCD = 4e8b6d19f248bf2d35688b32a4a1ff4e8bf540f7726e0789f4de72c3b6ba8ab56175b8e5da1902771fbafe0970ec0b1855deb139e2a672ea91d1e215aa7babeeb97
+
+A = -c73122c4997ebd405efd176b671a30b7712467ffd50648db6536c5324e6ff6069895004ec310af586abe578b48b7434a173deada7740e1c5e5f09163c92a6aad363c2cf759284669dde59302b630d47288ef22c94ed4f4f8c9cbbb4d0a3064e7f458570fc08ed73cc7794cafada0fe5e554e3ed4f97c023e8abd2400ae98f643653c
+B = 4943aeeead98df0ad235163b75a061e683c7b315516125bc612d955700d1628dbdc7cd7c3208e1637ad5c722c0d14d6058116f4766c4f9712153bb1c5aa428405c26b277f4b8cf671fda5d6f2a6b03b53b109847e5ed4fdb5ccf9488d0d69e6fc71616672e89a7a11c7eb7aeb5b1c64b8603e940713fd00bfd6408af7c1db0033a0b
+GCD = 117bbae0438ea8c8ebc648bb6008db88d5df35204df39c1b1ec72a2de826fa9c64696cc2721f681cf0f4b793504b0740c51d98da3ba4530c67d44e636c4a351c33b
+
+A = -68ddc8906eba4ba628dbd1d190e068acd5cca42ab7243c66b453f487efaf76e80c648d84e2e795a77d20df712c7657cba19b6233d3fe98f5770c2297a514908078640208aa0101e14692449fb7ff71007a479703e1468145951f9d1c1dd61888ee2311cd2f4ffa7c1e85d1275efad6ed2332c7d17c151d50b5dff1c1b5038d687bcc
+B = c51f295e6e035d3560949b3b7f40fe1346ee74175873e6322b7453056b2cb2084cb572311a669f7a4886b10df5370239ec4414755902c01d9c6bf1c0afc15b9983862286c2265a36b31e4d710c75e561f1b04cef60c6ae0c36238585273de642790ee4c7666feabba536a0ce5161006d7c2b329721af997b41f47c17fef260671044
+GCD = 16d93374722cf4c1a19397f1febe2dd4e085b8f1665ae4af359cc4f05814bb94f92b43afd8cb6ce81f162d02c5fdf0d7b0e6e8080e56614209cfa002d0dfb45c0364
+
+A = -434b5e0b619a386f9a4bf175152be8a216d08dee40d2926cb5662068391c31bbeb231f661a3d55b4e5fe59c7810877284d07f2536d57f5becb264ad0d1e7ed21ac269f6274fca2389aa1787c6535f6f3a96dd8130c9c7786d70de25444eea1ce27716b20ca751ff9a1071bb359739049ae2d507ea9e3ccb63a54ee065507c17586208
+B = -1a473b5a7cb90b20d1e5933c68a464364f3200d1b175cb189c2b4664e4f68402e773c672970a10791512be983cf7399f3c652bb23c467f4833a90f91b05afda4c18223236af16514d7b8b6fb560547ceaae7c8c03589f97c641b5ec8f29b05d44bdd1a4f73286aac830a66e73f37d7836149fea5eb305a375a5f970fa3f9a8191b19c0
+GCD = 5503230cea1ffe7521d5ce4d2426927f848e6ef7ff09f783a7b17ce6395de6d02f1f47e42b29a161a4d13276d31105b47e8c1e3c737c67e8cec49120a2ed1ddb79e8
+
+A = 21fbbd2951908187a159dbfabb038f7b2435f9343998173d13feff6dcf3aac9d0597e1f079505c9cfae77e6a4719ebab80c5807e187dc40b2636aefecceb7d10f6c32be1b2dcc12e5a3850bc7967aee840427ab451ee84c5d84c949574da81c5bc4ad663393511494c825c4ed01bd8dd66803cb60485a4ce46eae80c7fd574e4c22618
+B = 2dde36213453e526013340533097ae365c2e4f1056db517fcf2280a6f140f23b01800fc55c6ee8ac08d6f27302feff8d099dfa7873b518da687572b15a1da86e398e4854b4f16c9cb586eb096115084eb7d63d228ed30f1d8beb6e3c778efbdbac17bc746fd45541555c4dd5479d837d3985567b303692ba687699b7874eef4b45d379
+GCD = 792fa86813c67adddbfb1f05cfd0e94a5101b9ca786150921c6cdd381fac3eb76b26f47aa9db2a40230b24bd14046f1648f1bced16df698b8d76039b9d92ba4a0657
+
+A = -196e63ea3c7eb3219199b74e52086f891400c116e7038ea64ad817b74e38cdeaf36d4d3d1d502691f6889462699a0402d0c781813a210411c3c152ca3503d8a45952f77ef6c8153ffb68f32ee16106fb8dfc51c2b430b1548c1b2e262dfa40db08b39cb1c2bdb4cdd7be2a40b57daac9b48c9240c2f6dc346cba930d08ff16169a69556
+B = 1c76ba300f9d4ab6ab9d8a1b7938f9ad2078f1146cf14771e525196b393f4bf63e693ba8a1b147966f8436e84bc09c47ea1ab236e578d0601e92ba7730041e6681a60cb5609d34f5fbf2ec599d8f25d5ba1269eec1e479d15472b00aa49720ae6f3272568679977de135d2e01ec611b5a401d5c628bd9a7f0ac049e9864a999df788a8b
+GCD = 1f7a689a2ab07219cbe204a5c98b4757fb4522276a2044eafd3548c620528f2362b27813c8e462def1e0d87c1f3056f43765fa604ff8b4d723f000dee6d27ea9afa5
+
+A = 2f42f42957e2121743bff04ac2a7fed455c995cd3ed05bc9487245fbfbcf5bcc81e3700d3525602451241bd54634929ebc086c4e8d349b30a3002a9d4114891975339e62a566c6a9324f70da3b4225787d01a1fba22eac0652e654330c8f37d347f1110a74226a66170ff6f99464bc998a80dffcaf3c0909d8a1ea6e28839bdfd85f1cc
+B = -372359573918d6ca93a1b8c5bced64be2bc39bab0fe2a0dfd542fc08f7c357a505de4bb12f6379cd52365f2e3285ff9e5aed3af2fe5c7238576148e1d3752ea4d3b12026a1979ca71dfd035ef74484cd490d8157421f702d343c065333aa23ad7c223e2f40acf6ad8ce06d9f77511c00f6357fae438a01fe2b40ba258e8fc969b389858
+GCD = 28d157d4be81321d039b22f34555abce34cc1751078e9c5741d84addfd7535338941a1706379db006ddf194310670a13d5cb32429593e1648d0cadd5c400c66c0cc4
+
+A = 912114ac2e9b3781a7f31461816fd6a0e839839f58138cbc3715936f7c5ea133efd7024b68a444ec004eaea478b6c1d581b95c754345713b70f5e21981bd15a29b7720a855f988febdf57ce8a47cc901f2241cdbc94dd386c46413aa4260ca4dc59df4b9e09b1104c7afba6a4ccbfc408c94e7504a0dd38e568c038d5b4de696a6aea8
+B = df7c28305904522fd91ba1e5c618d5cda6fa1a6a16fa41856f2710f6ff217a75dc5567c70a548277d51634312818d7c308041f663d5c228b3eadf2f3494e207ac8a216e14a5f3482ad09682707b237470adbd4901888451f047f3bf378c976422c0abf222f42d7876cab6c7e3672f8729fd77eaea9b406052b4f812f3eb8a14df04daf8
+GCD = 4b42ae4be3ad7bbbab69a1c5e87ded2a7e4f6587c189b2d58130cb94a7b9aa816d3ba82bb657826903694f9009d78c2eb4e189aba371249f36a7f3225fa9282f4c68
+
+A = -33b0188d6549981d2ff03433f8d15305108b72ddc0440cab7c4db0c3909ac117c72e8432e5b533fac0ee131b3edc4ee263b1bd668d8e378d1aaebec00774c8f625e16ae75475f3c020bb3d9ae0fb5fc25f5c54509e0b2e3468f79a05c761148f8702ee55d7a8ea7d6d950cbc2ab73cc10df51c2bb7a6a0dded863778cba14bf03be93208
+B = -5431e7a0c5dd21f0e5cccf2d7797d13a84fef821bb02ea271d3bcd6b846c2abdc643d2d6102999d8152b78d24c0f03aea900cf74b2641a437ebae20a9a385fd4cdbac714d9504c79c34bcb4b930bfa4c696e99205dd768acd8b0f2bb4a1d528831df879edaf97b781d7352a58810829cd83c263d3282fa73694536c57d9bfde19199340
+GCD = f3d9236df3a220da713eecdc7e2b38982ea486c3e35a8a1c541e71fcf2f91413d59ca3eb6426929df9e7c59ab49f02ad8d7bbdc061bb8156b6f035822671f362d778
+
+A = -78a203c5ad5e1f8ff70933335af7be5aa71f82ada07889af874c62829bfde4f82d9d76ab5ea2b7144f999697921814601cc450c05d72fa42c712c59aa8787c08ac621bd0a5cf6252f65d6324d276ad48bcc8b0a0770602bdf693976528a9606ebdef375f2a1881407d1eb83fd56e4fa3bea37521de704f276c5489b45fa4556ed5cda222
+B = 4bbd77dbab2d574e6359be1342f29dcb037323fd80f5ecee29407008d33a755cd2ceff44294cdba0544a014498e6f114788aa4c7edc9305e1bcc7ac7d74a41ace7e86d29cd2274aff47fde83caa8bc80a58fa6866820ad421e08cffbbb7e724e8742842dbd6870750b87d33a460774203665866130636c515695328acadfea7ef97caa02
+GCD = 101d39e31e422ac5658fe0b3346ed6be5e4f602178be52e13b59e40fee91f733ffc63358bea541b3a3cca19bd1397de4892f460577a26cf568e4d6f4158169879823e
+
+A = 6f7bdc88e41e8db957d98bbc46f04011869201712ea9393d990525ff77ce3fb2ba3e4dc5b4081e1e2d96cd246e06d1f192cbaff38eb5505fc65ab7f48d49c9ab7b84137a589e17fa868e7885950f4b85ab487bff384e0979b6ee1dc6192d4c4b09bb693558a7bcf2a35714bd730daad89dc89811339d23254a38c9cd9be15185306c2ff08
+B = 3a7d3c7b80b8edbad9bbd1d42f96b7df533f822d19faa42fb6474d86479271abe8b9a5f4b8616f1e92af92252922b6591df9be52519da928d040976c5e02668f80474fe3dcc624ff08f798992b97e5e4a16e3fc8e21f44e8df14a37cfc32344d34962b5d53099824e705a283bd769f186de8e2c001d4176e589e93cc5fe21455a9bff6194
+GCD = b47787d07cee830d03c22292412348e0bec6b44cfba0bb885e02f8ee7c5ceeb22ce2f01ec7aee068db65cd5026674d71b845cef83e627a26bec2bda1a9df689daa704
+
+A = -13e379ce4304dd1238d5da15a6d0cc5ff548c67ddcbb3003e28e7caec13e0cc5dae59ff8503de58043f98d58f3cca7979dd1446cdc2478abd02233806db4ba3a873ba492845b6e988dffa20aca1664386a7ce0e51d084ce15de51ca91baefa4f09094b5847253786846e9a6d2d002370def6670d4663b2de1507695575295cdffa48b212fe
+B = -d860662e23be93e65fdf63c01743e7d761b1414dc780412a1ef1f9ed10170bf0795ced718b613f8c2ba28db35f0973304ab22d8ad576b5be0ce296ac3a9ff7e6ae77536ae857d8276dbc02a7432d677434da04235ea9e316c3a6c6ec0ac127a7da243bc2ee64a3b36679d10a1eefc70f6a73d65af0fee46c834a2c061636212c7fc0a1512
+GCD = 5142bb437cb3235b5b0a9eb6e9c1f265f75081d9f3925d84632a7826205a9f51331230594d296714355da6a830a0ee83911017cf252e0ca1cd2d2783390cd5755977e
+
+A = 18697b4097ed7f5a42fd762da26b00954810864e3d82bc9b0c4c0d1be6545c78d848130f8635501ca8427247b8b67bce628159095c7312e1a0687061b33a3f6302845127b1284fa1e43c8941bf8adc5b901b2e49a226c368f5c9008a8c76d625ea2f8dd684732d0da624883e1d160a969671ed178b69a54c93c81e8a3727b57daa37e492ca
+B = 305272df438a07083fe0187ba10551a3110e757a650d8807aa3aa275075f240d4c1fe02ec1623baa24492945ede52715d10b3f9290ad3869ccc528c2d507cba1c08c2ac03e7b6783f9a6df6e49b19008ffb752766762277ce2b71f4b1cbba62347ff8e112b45ff664e8f73d4da33bcb46d1e942cd795e9ce1f7f6a3ed0525f6d899917c4da
+GCD = 1a8d4c87d3a53e005f1f21ee7e9bb7c116bb2b62683fb771315fe38538789855f40a3ad139d35a907b776cc86bdeba49396048d47b5acf521414f3cddf69130af5436a
+
+A = 16fe881d102059f56d851563d9fc16ab6c39bf8317b36a81f73c8a3a04ad39afadf715e76d9376a355745a5645030725487f00394baadadb34a2d458d9eb19623c4f3f9134a954dcd691adb85a92be7bf7b2bbcb7426d19db0db61b1b60a21c98cadfa3ba10aefdd26417128f147a64fc01e7cc628e45959a36239742017b2c388f3f1725a8
+B = -16747526d8d646f19e9cec42182f11ccd98ac3245d2a0d8312639d07de4ca85f91e07a7c6bcd152374714033bb7302b347fb225b5be9afe2cfff95e6f1fe8e4dcbc1a46c049b31360f94fa28d5df1f55cd8efbde5db60384aab8993bed69cf64232d4fd9941c416c4df3074eeae4a7f41fba11c5a2b8b53c15c8b3d1db9bbb8197a69322784
+GCD = 1aacd834d71a4c44cc75219dd054809b1c7392e12409e7a7e315e2be15759580e1d86fdf1970ee382dfd2b43aef663c8a7458d2d0ffe9007bd2406f1e7bd7ad4a7d384
+
+A = 13d4c4fc43bcca1dd8d26845a0895a03325273eceeefbb9a2921f189a8489413c261cd38128e85bbdf833adea94925f2475af98f7c53de6eb39f9addbed750b6a6cdffc4e94f1dcdb9e41283bcf84b851a65fe0e1b59ae13042ff636ac36d8370df76245d74b5feab5ffc06afa8c6a2920c98efe217932e0384fd748fb88e8413a0da6475a8
+B = -2101fbd91773e403855654985a8d2cc6e97ff9cfa3def06420293ee04db7247cd3d720d8374d7d9bf20be5313cbec44f1aef6e13b40032f0c314db1927aa562b467db302614f24c1c3ed83c31ec4f22336e6b5138fb028972b8498945188972fc2867e786dc2de8fbb39a4021c2372ce327d8e306464fdeec7207d86ccadacd0509518159d8
+GCD = 20f4584f9d7fca1ada53f64dcf9e7daa2858560c93b18b30f5f8e09066e56fb75dc1e5f0eb4966128470981b4fde3f219f77862bf4fecce7e50f377280c8b41177cb98
+
+A = 7555eaa8f908aa343ce73e003ee6474bf851d8cec253449016fbe39eae19f375f7cb5684707aaddef5832bf68a9e8f3041bb7998d105f0c3d1559bbd956574adce192ca3e82a7040556236fb6f651a9c7dc49b7144dd658bb4bc9c4e24bad7f07cb187944cbf472fbff452f271fa4d64ed0e5bc12cbc4f284848c28a09c4a00549122758023
+B = -1444ed4ad788362ea000f3838f2b00fe58b1fe31b625d24c566dd7ffe9923726c01d0c67b2b42b49f810c942d4c53bd970490b25d7bc2c06e9bb5ecc04af20db30bc685eeb012cd4ac0a9bf6ebae73bdaaf058afd188fc70cb89288958302252dacd2bf5f565094974ff792f65ca785ac9c3a4ac613d29813172c733bc391951aa6b9867d2b7
+GCD = 703358abcef86f97b51ae70443a419123e510a6265c9d9f203f4bc0123f8f7cf37b8519038f8717c4bcf18aa832e6fad0d92faac3fc46387a002d946661980ba7929a9
+
+A = 30bc428710ba249c0c9522f4567702c8f3e0901417702d43e2a5662c6d71b2ab94b9fd1f303f90eb1f6a1b223535a46920d4c4a4c3dbdc84b02bba63026fb08b2315b5fa4dbd76e3968c5b8ee0b62f95d975b644c7f0db3939da1699c9495c51b8bb0681db31e3d2b27476fb6834de4d70a6bc2e2134ff03fbdc84dace2fc2f4d47eebc6e568
+B = 12865cacc72f44784298b8c11b84b79dc5d46151693c3feba814c01092f059ce06996174ad1cf4db13ca796656a85463aca03240db680e824b2c6272568e77dafd316f34e62c5df3375a178378e36ba0787a4f889c62ffbc7507ae9a07fcc8e664b330e61f327a658cf2f72b2dba2b179d72010d55dd4074c13db4283728d5bb21deb245a194
+GCD = c8d609267d731614a685ee2dcc2ce0d3c0809f859ef92d0e655a1c2f344dcdc170883e33a1f1282ac5d0b55e640f98b319eac83ec56d9730ec173cd5d0305113d6a6b4
+
+A = f28b2bc311cc0e8207ce34783197c341d1134362f2383c988f257ed8b8c7d690da00e5d535004772bf708d494fa13b51520098b362611fb0148f921a01db0cd2cac6c6cf2c68c8aae4155489a118f28f2d05e6d5c23aaa7ba3db59776819367e58288d1c363bbfd7decb81a5602a91ea0d963b0c207034b5fbbc76043741bb4052a3c1b7511a
+B = fd94885d924a51e4bbda4f74f7c2d55ab3ea66330eac3a5710cf8db499d3a6a8fdbb94ee1afe64a5b134a47e3adadbac10b26a8e8fe5aa5bf2ce1ed478a1fa82ac29edb9c2e8404ab38a8d4f18e542f9fec20d6e445b1a5ed2d4bd5615db0d1d58e20bec18f01cc3d17b9e2f275fac08e473df2f8f309c0716b04d99ca5f0e2616837b1f9076
+GCD = cd57d8ed89c357417c4bfe4459620bc0a16b89b1baf19e404e5659b9ca58b9062a0ef6c0a98ff967ddf00ac9ce5e81aefa17771db7a0706275d75d0f1b7d7e19610d492
+
+A = -647ba90322fbaeb96f806dadfbd81b30fa7726527d443d2cb73b9686c8d08186536d2db1c412c88832d071745d824f1fa82c977d9796ae5ce0a7ec308d54957d5f7e59bdfb9831de09daa470a5989139350b199a8b50214a0cbd1ec8ec11e5bae857fb03186bfd69bbdcd773562bca7f36e68be0a88d674240fdc40277fba7ca538d20853a622
+B = 490b12ca23bc84063c8a3d9c7ab7786adc96e53b818aeaafaafd88ca962c128bc69239785373cb5f0a4a91f32ca9ccfa54b26c3f36adf5ab7ff7b7fb82d1750a229a8114ee4aaab155dcbd49b7c84d1c1d64fd98e3e6944c3a434ff6d50003df9ad4efe43d62046b3c9f18466acdc0d88fc041fa143ac09496a6f3a698cbb1addcd9a0a6b67c
+GCD = 7bf1ce1a1c3e3d52c4b53d74a41648dcec6a3610aceca319446a7d0ebdc39f1b09e4483af99aad27b1bdfc93a6a6319d22022eeb01f799b91378b4cd1265b0a97e412ea
+
+A = ccb96cb2f82f8ad40e5d0f5833e2e274bf1633f04a8fea29825a0f360c5ef1c57c70801119140af66168cace4e402806fefb9d581d9e376fc0cb7389db658a9df7953c9bd4bdab44941c70f0057adfefd063dca873a207db9c8bdb18b3ddfa91baa7102d204a7f9f5c3bf84f5c9be4439744e0902ce08bb9ca994aa0bf571e2faf7922424e859
+B = -d71534d2a4f1ed6c64200fd070b7c3b313f09450a07177c1b7c2229f3988ea2a2b52308837d4898e3e63edfb5fbc633abc1885104c3e285341ec86de17b63496a3ab7a4f33fee30c659730933e7e36bf98231c3af4300e5f9e0d3115e7c3de2d8e38e7104ffbf5ffd6b7b108ef4d52cbb6bb54ffe32f9902e34b14f7393c04b48f829e3db4b7b
+GCD = 5c55fbd8899ce296538eadfaa22e84db5eff475d2567018c7cea7b6bd6573116e400b41fc798dd832d4057f38df1ca2a8be73d6d42ba83611eef356fbc1ed2ef37cd5fb
+
+A = 51ea54ad859fac06cf0e7a6d522485a3d42e8552ff2db4983e7d808fe1b8d993c52fb36dfd13ea0b8d634fbc283d4e24c97d88c77f2dfc87387ac39dd705ed0cb6913ff791f92b51279b79dd021a203aabdf3d926995891f1884776cc82dbd087ec2341983b3ffa4f6c6b81aa6869617fbab658e109dfc44d1aeee3a207044ac1ae14868630788
+B = 2008d39e8337d5f397303e1cc67861acd2d4593fb58122afee92a22f01c9c7b8f14e45e5f146b4474c45f79f198dbe6f6e254def50f1d476ce7df9e4bacd81244ab4c1fd9531797c1324870af91cdf87963cbaefe67891bd43114a6c0ff8f5932f5a436ada7878e84b8e92f4a1bb94f33478618e277d7e74ab997a3f1afee8eeecc92b771c47c8
+GCD = 214598e8456a22d3fac7a8b41888873ab857c65d3830742f7a30b2003411b41aec6d1c77718046e4c364861dd8da2757f8cebada69c68240e53693b5d40f7330ab7366d8
+
+A = -122cd6f55e92b864edd26f90ddad77ae64d7faaab8f146ab427a19e9f3c239ac9ad0452f1fa0ae94dc2272b72ccbd6085d024f2703c35895be6785695de298483cc051fab848a2608b20d49aa70d165a3dcc9e92a834a2670c871fa20e8a16805b3c0ac34916ccde0ead3303466c22d1970fee358e626b23144531d39b2d1ffb5dbe782b6b0a66e
+B = 87120757b60840bb60620749af76c8bde55646d622122742d9e074be01d4e9aa7feb96c5efd85a07152f90f9e3b86e2a4ae2f84d88a9d4c77cacbd2906bee66dbff8cd4e171f2c75eb3b217b11acc9c5c54f65a5cfa9508a07fbb5a61f63497920ce9e7d0a8f02e860767e9109549751d26dd2c55b14ddb8aba2ce42f91dc0b4dd839d1cd6ad48
+GCD = 157093a554216c7e675db908e53914f964a9422c7ada1b5af774f505a6d130bc1d8a1c496fe22758c9e9a33be75b3fa296ee55ea5df7ab6c1cdbef48781640c5d2079106
+
+A = -bf4a39586658fcc201ef3a3e7df494eba9456a8524d89158958dea392a41a66541cfb1a72484589a1f50087e67d0772782f7064156bd01082d0b97bdc82d2c1911b1ae77391ec7ac9aeed197b5467d66d64fcf5b82de9fded19804efed393a1c8b5d46292f5dcee940a74d56d430af639569687ef808ccb886ae3d148db408057ea635275cdf35
+B = -2f1471fd7288beed0c99598fc28734050663deff146069f220548360f226b8821217269976a107911d1d94688519bfe6983cd0857b6f0a3f84f9fcb2d40af9676f43575a66da92f450fc5af035cb42baf288f353e164ec99bae3e98c37128febde8cf053168c88ee303f3438e79b6c5df2a63517a8b4107af8002c797555d88e3e201c08d1cf6c6
+GCD = 3b7617127bbf518466b3fd055af4e0ada0d96acc00c27d4ab2e1db5c508604330cf04cd928a67c32cdfd7923758c680b3ab28022c2821341b05be83ad54e38524f00b087
+
+A = -1d8da70741ba0124e19aaf5f39be7395895caedcf545e9057d8bd5acb9e9c9af039ff42b28cd2a41d6c7b3e7ecfd8ebed98b4681bad3b3bc1004fd11c4a769595fc086cb578c407ffddc50fe28609882a6721d61e23f79115475260e2a7032a2324397bbe36a526b96be511069fe6bb9c1375e5f52425093af77bfa0ff882ab275d1be7d6136294
+B = 104f32fd867d65cb3f80efaa8ac029d92caf774323fdc2335a25bee3a337b7ff0255da3af901d0d8a0ed3f6600fc89e4920eaec472c161efec51dba95eb3998dd168a0d4e69c9f33f45cdd5f1f0ee330e0c6cafe7bac86de25470b1750be6156b71ab11ef62ac91daeb56580fcb52d18a9982c04c8d388e68a5a202b1c525cf0804dc824797dc4a6
+GCD = 50254d0ed8eb6fbaccb25b99ad37191a81f7a4f436a8b99f7510f125a8a2743dc68995d7310592f2dbb1f738401abd532498d5295b302d3167d0f2af36dc81cb1a945eca
+
+A = 500f8deb6d9dce4e937bea437e9f87f2b85a7c5200fd64ec6301e5b9c2b924a0e6fd1cda1a9472ac000b76466608e7ad74956641712cbca59ec276e32b59a6962582b07ff2b0afb9c5b5298647e956c70585d94a44e3c69ccb417dd5ba4b62815b6cad2d902ce1cbd9113921b1319591639c850323624cc8abd29bf0af8f38a26fe0ba7e1430043e
+B = -5b9013cde88e7331093b5b3c6c59adef2fb069da4b9d1302579aa3b69aadeceb39b8a729e4e4cca7c8b3e7bec264693a1d3aaf6eed508658e776095ccd0cde96aec37f60eeb0a98af41b6d300e507c6d2a6f52712a63c911f3a881485e738f7b2517075d56c3b3f918abc6690f9761bac57fa1673ea8179087582c8dc16d01db3460cdc5b9809cc2
+GCD = ff38e045d99cbb2f3140aa278f7177d4883e2ae3a0526971c8636d17e2e8cb7ffe924521da966923d747d9910cdce6cf6ccb63d92486a76190f12a29e9cfed62f305d22a
+
+A = -1dc1d3b8dc2960cdf9665c5f5d300fa9bcd1da341261d8d8cad88e12c7ba40e63ea9a8dfc206feb4029e6aaf955bc3dcc049f217452fe3bef0d96ee67dcbd7ec7566a87fcf3ed453e5fc6dd449fcb74a32d5140edb62b0340fe45011d7a662975f37075812735eb10362bbeafbcf3e298cb18465d750cb80c83c0b5b659f912b7956d027f2abc52ce
+B = -55f3d3c95a560d6cdfdfd7e5c45ddfa4451c1a68bb3c62fec817f14b72c20732b847927d34cdb7e354849c147d59478d0b410191e7a24bbc9dabf6a60466cb9610d48e096d52ac84c773e2fc63cc9f10cf3a987e87a5b5986d11bc9f83c31d98d7cec222d6ea1b470d4df3049e3e6c9441674a804e2d131644f1fe905a627b80d33deb8711fc064d
+GCD = 1fec8bf2ab1a085d1b97acd55e42ce90c09ee6c213f0f695cf0669c4f816bd6cabb4d961afb4c2fe4ad42c1fbd3cafb683224c757db5a62fbe40bf00782ec7dc0498f3eef
+
+A = -628b0e2a53cabb32757fff133eed716037115d6b23d8869e08e2082021ba0a740e43736ebc0fc827dcb4ef11b4037107bdafc7729e33ad3410022f79438d82a8b05ade589302dd1ff5f720bd247a5db4589a56553c80afb39f45d4589fb3c142649d8a8cc8ed5c6eed0af66796ced843f2772f38d848265f13674397f4e7b83d974164e0baff43240
+B = -31354213000d57f03a63aefe92be435fe07744f1200cf111f6df57b0b89e0368ebcbe4fda50064de60aeb21d2e88e10027552dfb58c67b9833d6a33f077abc53a3fc272fb446d859d96f00bcf112f4188c62b91b27c780381533003a65433710f20e386bc1cf05d1d772f9b0fbce92a06480adaf675d521c0c87f46458ce46b5baaa9dd651027a570
+GCD = 31af548346fed09ea53dcd763f6c56a0925b3ee7eb2ca36b24eddf447f743dbb341551e51658e45526af3bc2bfc6b3f063d5ec8e00b97103e9e450a9a575ee7e91941cd30
+
+A = -172fe45a5252fbec4dd289c378a8c074c7e0dbe6e17b5d8a9a77503b75dda3d22d82f995ab3f9cbeefcd2c5836fcb84bf1ea5252b4022447c0eff74acd53aac886d96556e3a2152b8f9a67fb8d0ea2c9e11984b3ddb00f3b6cd56f032bd24507a1885c06c0c79fa7ffa967e27608ba0ea5d1c5610dbd5c4c7819f4c4a2e4698cabb83dd7cea5c9327f
+B = 6c8ef1f7ee9937b76d865d54f0e9579748fa3de4363c7d334718ff0e5bca0fbdf436507cb1eb450c17063335ff88dbdfe4fcec973da1713f6e6e7eb4c60a50e3a787e8e6670fc58d3b6f07a08a1cf03058106d076bc8a996f293b7d85f2b88d0d257e9d42473aed894244a7fcc365bf0fe254d15365560c7654e2f6114a0353225e014f2f9326adb0
+GCD = 14972c88494cf36cc349e2793ed601017b6bf916d8db44e691fa20924489a9652f507725a8e1eef174329a696af23b29fd373da8cd45c5e9bf006b7676a054694e6b25e337
+
+A = 2b938a23b7592bf06778359502eea2ed28a56ecdd984dbb45bbe9fa60a4cf35f25443ead6946d87471f6936b205cd4bbaec1f932c3e39589520f664a3a03c65e80796fae9caf24e51f66de3ed19dae4ada8396755b5453a4cc431860dab6d0b8666338a71117c66a8483ea1911efc3cc7400d81ba7730730d0ce7ea4665750405a859e589841c830cd
+B = -40fad12d653450e96425a94c74cd5f9a5d8bc865b5ba7dd189b133be7eb73dd491103987b6a7dd4c92f89f30566fe90520dfac93aa6daa801f60521779e52760fcb0b8faa7223d0586fd329620fe2156685bc7afaadd2a22078dbba42979a4542c46d2dce269716c844a6bdd690b2e46d32d7f030fb68f047f6b820b0aa2ac60b81444d1f3054ffb41
+GCD = d51e1be17d01a5a3a562c9e838f72ec0396442454f8d57d2d5cc3ed067c04d69fcac147050529a41c81d7313e519ff2352448927f847bfd34121119bb5b669b8bcaa500b5
+
+A = -cb258fb9b7527bc8546c218c14a580666c299ddd571d52adad2889dcd9833a939de7f037337f13997e895d91310ceea034dc4a808cc21b1db556a27c57d4846b2ea4d6cceaaa51ee962af5099e6964cb276ceadb56f95d65e95fbd0bb5630b76c778659f7907ccb9bbd62761099f46410bdb1cae3f1530ba99c3b9be6309e9162ae6a1fe102f93d845
+B = -b06ac046635ebcc28e81be9f696e0243fb64ee487793d935cd825515e5ee2cde6eff83cdbe1f35d68a836322f99fb0e48fc49efee3055ec2dac9c9c6c550ea379f61bd8a82bf8cb96fd2024913fb1539438a00c9586d83bb831422069e755ef60cbde73465d0cc4fc64a4835dd76a64b3af090fb53f8f9e2111d6ebf43c536fd81bc37cb1b26d66673
+GCD = 103d50e8d7e183bff76f7a0066ac7efbffc6a6364512769a13010fbd897854350ef583903eb0dc6da86f46109597e4a02fe99d7752b33a7416cf4cec2e83fd97155f318543
+
+A = 99bd621b0b36b5db62b260100c57756ee6dbc018c54722cf8f4e3337210f2326cf3050ac6118ed3b76436420a8e832690ab433773ef682c519bf3680b03e6c35a66681f48f1c160976347e6577794657ce3d242cdc29501fb0ff5d4385c496da441c04b383931680d039a1fe8d89e59b0761c91bfd478238ff0787d791cda6e67b8b0a5f728dc43d50
+B = -3352f27baca38cb00ba3c43aff58e6ae19f76c115c330cdf712d698e638bc8f9c66fb77ea734ca6b633d7495b1bb992e67307ab27c982d4a9696791406ccf6226d68cd2577062049d3187d6e30df09d679b156d637687132890f231039fec719bd6b3801d9d0bb19fcd4918a1c48189a3bc1db5287a87d486a7c78c9ad756ecde4bf7ee434ade8f5b20
+GCD = 2541d6f5419a07c6242b70744215ce7eb19149c640bba839202893bdc063f98dbd1493404a21167338a3470f43733b08ffceccb20e40bbf0370f22bf9986dd9823d9f7bcb0
+
+A = 658c5045e7796579b19cef6619bb689f6ce5ec1091353de6a1aa62d22b2d96566d2e99ac3925ac2a44d763200b8bffff3733f60b871cf8f1f9442c3eb1c4cbacd5367f8c3ef799055de647ba23f9dd9bce1531f3ab5ba078a21f42bd5d5b1d31660554907abeb94e84e8f289885d91fc8a8fa7626c379c2b1edd416ed808e18171879a44e9360da16aa
+B = -154a4ebc05c9675b2c684864cb263d6f6ff22a82621d322b97b3c764c05c18dc9d4667ffafbe781f77c005942fea77403a1a2ba943694455ab9665c64a7a338890897cf6fedcea2ee0596171a6185859ac2c84eb99b67b74a907d7c4d273adebad68541910266f3fd30ad0082207709619593a36f0c9648cd1eb3e102189fd781892fda35f1c0972339e
+GCD = 65af96657a43ff35d51b6694bc1ed0ec22c5c932762b688aac12ad9e3d177c649b05ae6d9172315cb48033483753cb9a2f46341cba0c354bc824e887b75f4ba6d712a3d97a
+
+A = 1e4f64ef6776fb0da068720ab1a83dc5ae761a6b3ce958db32b2b0dee7e2c06a49389fc9a519b1f1f3d7e7d543bac9445706a52df1c73b8f444e31a7c540908dcaf983b4d268462b67a4e126a1c82f9832bd1fdfc7d74ef74672c3a3249006ba27ea108978fb0102d6c480a1443135724017bcda82154656a1325ec4021693860d2d9af6857924e2d4b0
+B = 282090b311b569ffccca865737160c0628e111504b10cb37580e9bda012f49aefa9cda58bd06a0ed1dd990ac85f776ca8bf8f74131977cd8106f5f0f8941a6486b181c251182e20ef75b7b0971f9d95a910fe4e3c065d194395517b79c7262c086ea80af119bdbb90690ee837ca5a70208957dacda4fbbd1c40a509a2a70064ca85d2bf7097b1df8c7c4
+GCD = 8f674fcf35583f7997a36e5947f54e853191ebea29413dc1d68e31c895f34e7b5f236da2519690c778a019d3fecf7c829a30f7c9cb02135a3049b35e85b77e23f401557504
+
+A = -42618b21493dcdc96505929fb8ed9a07dcd300d16e29d2f528757273e596eb521c5e7c8190444a755f142a53dc84d8a756cd0ab52b3d4a586a8027bd69855f074be8d4583584af85ee550488dc00165f8c16da466c252a687efab543c9b34d7a86f5b3dd43324912bc4c12e75d5f43abb1e7b6e014f0969f7f5aa43729494b5a3b1d56fa0e33f047a6fe
+B = 2051e8bbcd1d8a00f0d179b124e8506e0817f5e2125353860458a8dff82a016ebb32908e3a81c7a7d923095832a58cd17064deeea2607642f4fa6ed0c48914c8ab1eb68900f1907a430caad8f6c07109ad7186b6863f4ab15ba0c93b3b1d2606c8a0d552a29f7b795dafc163ab29a4f3e06adbbc3961eb1a94aca2b3fffdb85741acacc82f7ef5c32d40
+GCD = 6a45c6720435ce6abaa6cf141a1f12af2f68471644721976da8e3ed320e42afb61958b9689c9f0db9867fda73d7519cd07ad5fcec3e1e7c477ee80d6902d0ca5f231823906a
+
+A = -468904753b138a65ded2657340ede8c7d79041cfb5c12d30cf79ab60380f724ce5142645141c83f61d014ced6a02d74f32d9ca830741d4772f3eb0c0a996eb9826d23292699f2b5a094fd2e4f21648cc8c225922a675f73f2150b5e720fbc74747c5f16e71f98345271044a3233fb4843f8a6c84b6c120a3581588714b9571582141b3fc16733cc1cef6c
+B = 744b38322466d78c8e92127145e39c8ed8c1c3db291009af3260671e7a096a5026fa8680a522b07d20cd6cb2df919c0dc566eea6afd013d84f9d54242190282407a7791a740b803bf97f5b5b3c5273f73aaef095980214c75696a7288d9b7e6cd9136692ceb6276a082639a4d92321754ed94b589c27ed49e9cd634d7545bf478f9a8db4c5284971d7bd8
+GCD = 7af66d790eb6f312134c56b0081afdd92d30ca38b3a85095cfe951f21009060ea37896f4d7871312b2c829821a802da2b5994a7d34faa9af4eef5f0bfe12e38290b94e2cc1c
+
+A = 759c2137605d4895a69d20f020e57895db4ff81253a8123f13e7bd1ac3c9999effd0376a9a39ed5b94932be051621e4af0145d7749e29dd12b25ce588c5872df7fdd10404f95fe458d36840eb6a841c42023e1f658babfea1bec2b2729f2d3d89a6a6bc02c141deb9c86764e7f93f088bbf862b4a19b51ea22b823d5066eaa9d97a5f2330741f62c82fe8
+B = -12c5942bbad55fa6ef6576c96827e7f5f7a87837510366f189bc5baea618087209a905a1f079ff03ae49fea1c759731bd18377b513030b73ea3453fd3d52498361026c4efcbe99cc56f78e1ca11c54f0c7246686cbf1e9015eb2505a4ebe9e6c73ed31cbb1eb1383741c2201adb80ee633b384f71b09db9730d43c8b8025ea81970f09eab2b6094567ed0
+GCD = 589d64e5cfb79309f63d0b35e3ba4e12cda01e26df479af513c7d80f75f0f84c06d1172c82ded097744161b461d5e70e3f1ed4325595c02468c0c991aecf8564d20a8395938
+
+A = 12bdb41d8d54e99b4f211bcca96343998e6fc66397c32d3f2dde511aca69abab5320e08947551849c19e85d72ee1b410e0777372cdb5daf5b13473e16b4e32f4c1eddb7f7860e5535eb1eaddca0191f200c9b51896b645f080532e43e311f1019303c32f29bbe342645ac6d731f647f84bc1738cc102f080bef4f502eed04bb0a1e1bbb35a761ff060ac6d
+B = 3974d7b94750cddc6a255bad4fc733ee818b742ac40bcf30e1337a75af8f38a82b3c8de508ff43c526a50063ce87a45be5520497e9f457ee5bdce7e293bba6c6871dd0d2a50febc574ef5bf9f77fddca467fcc06379eda15f0150a91c3b551126ff2304bf11544f778a840315e2b8c278c048503fd7a5f4c7c85330d7057530b06f5cedfba4ff4a3d8095c
+GCD = cbad210fe24ee6514782ee5c9b930aad3012dfebc1a2361a06d66a99235717a9741b1bb83a475931d78293a06b9cb2ee7d84936318df924591621c5fbe8b9f1490e8a55b07d
+
+A = 13a73cc4b3c6f51798d53319d4d42370c270903447f906b0ef2f0e1a5d8319a030754ccae0eecc4bb2289cce1986d18285cb65f70e6fc6f2c2700dad5d37cbd06a9b2fc9157adb48d65094f88a2713aa4649c967bd19544448f3edd6b5e9a2e0497de560795ccf9f448911d8cbf41268cc89b6a2028c44618e32369837b36d5c1b4500c0d47fadc59b19bb8
+B = ee6dc9328f3696483ef45f839ca880a63dce610bca83f41bc92c3132234ab4418ca70803fe6fe5be4a44d94c0e9f182c03719979ea6f57b29ad2ec19bdbf55a1b89e9799a6a96ccf1d12449f7adfe51df1713380d93a21abcc5da4337cd77c10fc9f2c18154886d0b2b0ff8a4c937bfd0744ba78d892772fc83b4536a4f963fb37e9cfbb3f949bbc351602
+GCD = 7bd5a801017a66f16fb264c01b78e417e8154ff42c5fb216defe1fef95212f5df16506eb2d8f159ff3c4c5cb40b043c1de4d31ebcaec5367373cb6f5670dee56ad91abe5b696
+
+A = 116013382296fdcb0509ab4fb83c0d3d31ec8781b8af5f3d22b3e678ca68b0ba8108ab8eb64625ea2c31c1bb1d0cbc6772becc091fdc806e437e9b604db9671d7207b2303bbcb615903d2867494dfb3ab727c25e1dd34000bb613e740871b2a4fae5ee7c338650380d1bf1eada4279f601818068ed41685febe4b4e896be5b6cc0114491e910c99bb4f1ab0
+B = 2ebb4655bea88385c3e090c6b30bbac5a7f543186e43eae765291f6e759f96e5d1100d583ceab9f01090903592249a9ec83e9c44b79b90460c738cf452b47d17c0d69f99c06a69b6026d2855afd6e6e8fa50f0a3f4e9c7f894cb073d20d75e97c12541bea23fa05ad4c8873f89e9e1e14bf93d030e1729702acc3fdb359e604dafc0ce9727a4403567472f0
+GCD = 2a3804a44bf2285d7f63a048ccd35e567d7a6af4b9acb00e1cfd4d23b3e342076d4d18d64dbd47c1473867080a77e47a457fcfc868a663f221534a6139c61a2d05611cb58d30
+
+A = ccd52b3197c07b9688271b1f9b4cd8064d040a326d2e8cc782e053d23a448af3b95d677887bc90f359890ccfd8cb151f7f1e002a58e82dc32c5cccd358ebe4bd7337e70c7fa0122c668b8ede36e588c92922a850eef96886b362ad1bb46725cfdfa3f34d1172519596c56df1c2aa6058f76ddc892b5590cc77f8d55d66c4c7b992273b892f2f29576e264d
+B = 167ff7c9b791ef06fa36e4b88332987ca835e924b0d45589bdde5ccdefcf5173deededb1902e300e60a3e25aad9cdd6cef3658dd7a2f5172a9c94ba2885d40a35251617ddbd850c37543d23f08826a343beeb7cdbbc49e10c629ce6fc016b3ea617ebc187cee83db885c2d1225b017233bca0b3a52885ae6a13a6f68dc9260bc4433f011a1f4a77793d8696a
+GCD = 7b2e5073a975969990085a7f1c47c192423cb3e32a1ae1c7dd5d95d113f76b803938fbafa78c6190a5ff5872199aa70ac1c12b59a5679ecfbcda909cf7ed16077fa4527d0fa5
+
+A = 3e993a6d40e09889c281e688338d427fccc7300fc3ad750b499312f0f5810d2a03bdefb98dd72697afb2f0893acff757b8631b39c6e6970ed64e378d95f757f95735e4beaadae3ddd710268fc5f01a5aaaea981fc82fd19dd39b1f18f9240a206b43ad225ef671e7ceefc2eac8b425274a29bae02d8feb9e1c1a11888bc4d85b2158ed8e08c0381791ce86d0
+B = 2a38c3f5948a2eff872b9d7352f927b13cad03b804d39916c6ddbd72ff32e27af0d4629213764976bbb01f2b2654c9e8c61f2c4c933a48d973b46acd7e22fd691ad1cd50435dae979eed76f90d9335df322cc9637621cdef7d55c9f5f4062ff57cd02014104a6c3414555e4d679ca434ca698eeb52c942a84d7ca91e090ed60d36352eaf21b8b19951715960
+GCD = 1694fbbd006933a932fff32df2a7d1f897f60b5901cce46f187919b6a5f52b8d03a266a1b1b8c10820140be300bc49535f8db83a0f32dd5e4fba8f32c349bf7fd8c1c28baecaf0
+
+A = -106c3a237e70b4bd2d349c59581820ba71332357cba7ac2eb5f936e63eef61901f324298f956b42bf349d4b79f4e403c8f86c8c103c22d4263e4db720d26cdcaccf8babcbc9f75ece96f43ed9cddd4c3faaa6fc50c351d46cdf2fae1a74e59736d3ab1593cfdf2dc78f4c23bcf5380df577f9b9388df56d16c6a942998b7c7bb08fa8bee6f2a55f8d5b68e9b6
+B = -52c80b897e0f513dfa880116cf0b3b643cb58d7c7e09e8cee4a237b0a9c308fa9fa56b6383e954e31b7aee7198ef176aa82dd43b6fc82eda558de4938d7b200cb00c0ca0b18acf65fae95f1a172a403e2654ea154645fd47d3c408febff17035755d8ff9474fd02a51286223f6a3fa40fa6b528dae981ecf651466e4bf7852c2237e110c9aa358cdef1600b5
+GCD = 138da5c12d454b942196d826df9e4bd7f06329ffc3e4985cd945e39ec5563bc62727c3b1f906529caeffd207d71a752ab4fc655e1b6c6a32d76ece9cd8544bc68173ce6329701
+
+A = 6e116bb11156442aec05e86262e59532756fdfa0fe2c7a8b3e2a11589e52d385bc08b5a3c546b7416604c5d338ac819c9a38b84155d1d11e02e941e5c9b13b850bd82590cd12bb28b07bdc8ae73a4007feabe6b5709fbdc6a02077035f275797e68fde3c6f0f1733d30a76fa8e03ceaa9f0e0235de4ac5ccfcd458998c2965c6f92d91af53c4bae95437d60ae
+B = 6b8b7bb3ec30e277631d501e4806bd280454efa36f5d420cc3e91a74ea1dbbd0d58122cc04769a9da9d77fa83491126097b404f9e5c0f8e7df62d3f022a3268350820fe4d00e7a860aa2cd17152fb353c567f354ea10460e8cad48d2d7fed192a62a34fbb48c2b6f6e27fddab67a5106572c389982921d73377f2220ca87e330c8ee4fae050b2d4aa08aedfe3
+GCD = 4b80bbd15d8054667664ec7c3edffc88a156d502642707c255bbec9dd16d861d64a8b3852751315d8260c598071c0ef0f783654752273799155fb4a9bea34fde70a547103f8f7d
+
+A = -658b769fe1ec0c9470bebfa6d42c5fa822f0bc7f57f23d7b97a7e2e4daa57f550d1a3154ea91945d1f04307233d2c526f0a007b02451c2ecc3da0fe6c52f2a36fe7ab7b2a227f979acaf58649eb92aeee40b7234b26aa4202f178ebee4e4af432d2397db712355c64119dad797ab1e5a40827d7609dfc502ccaf50bba16eb62b079625e832f1eb939138318e2
+B = -15bee54a8e2eed4bdb26a17b4ab06a17823805d1e7986f02283b71c059011d25cfbe4d17ff83f4d3a6d8831ae691fc1fd379d52a04812acb9bb538a3494648d5284e59c3728a1004553e9d174ce3486e6d90d701b5291633a3e0323a00515f75871e9ccfa3d2a40b3365e8004b3cffdb045509055e62a68a06eb4a581ff3b6cc324c1ed5a92817b47135df1249
+GCD = 118d05fe7839058e457f08551fe5f9c89f9d9ddc727f356aacc94ee805b17b84043526556a87f97a41997b53a13b0db422e0a8b58c7cc4ff065d9af63db5945c3e4152b4190729
+
+A = 3773335e80d7532130b503862e7530c9c5d9440553d23cd423a1697214f4933dc50128b1a38a3df3d2a9f8bb66ae1d08386f0bc7c84b09c7436dd2b6296313f57d8e5af97aff0dbf45572ed9fd5cc7f2ff24a2ef890812be54dfc373279c40c8ecc3c42d4a279c6a0f75eab8d07b52f7b69d62f1b1b5676406248271ba2fbb1e47c33e65568f9e9dee2241dbc8
+B = -3625a177b05c105a93380fe83530e6f415b00b7d5d26ef9ec0b2ae9013cb28c6a446814c6da244a67bfa05fef46cff666079937d742ba87fc4b0e32b907522606fb89a630d317134426c8bea1f5cc62d8d0e246eef7ba8381c35a90cda907b79c7868b3112fc1241e1ea4b126f90925ea47c1c53ac3137a2a45fe2284549d97a1fea360d64fac46d23de77eff0
+GCD = df634cad101563165e1541739fc6041ea443098d69381d9df62e21373622b859cb514af64dee785802ec3c0bb82c8debe46b85eeb4eb6cbe06f42ff60de1fbb635360cc527768
+
+A = 16153809f7c35e4d82547efb033f083cddb73e0d069727028d17dd2dc7eca38e6eef767cb7dbb9adb0cd9b4189440fcf56367ab9c445240276e3283d90ee88b3a562c449ea2ada4a19b0af19250a6b671be6d48e3ca201defce42756ec98947a1aa653d599e0720e90fa2327c262b2739800fc15730ee7dce938cae29c2c9e57b4886eece98b1d9a4895c257514
+B = -3d0815770076c6c347449d2eec96ac6e5c56b32a69ce986a6f0812d5eb7be90d465c0eef362499dbb79a792e39064ffe961949491fa361f6601e534024ea88e8b75d26626b9808552540cf08f9a63eace949b51974d63f6c45fc6abe40ba4332e0a0ab90ff58cba40b716e88565dd6ccc329f18fe6bafd291d3a886b1a9f653c3bacf87f5cde9cb016d79c4582
+GCD = 1a11d0548fd3fcc723ce2d5a58d8052ac63188e427203170e235f7d24fb43d1a69a3ed6ff7623c3a47f09879f7e3524487c1f162d80b4235cd72e0c651aa41da8661c717d7886e
+
+A = 19e4f4acdfa6379561e4fcc72adfe054447cdec7de891ed5179b34ddc9a8728a09201ecdc13316b25b3f9c70b234e8dbae0d226e51793f69036ba109a9318e0fd0ef53a0255ab4c08f1b21ee2e74ef07bc122b910836c71a4e52dbb5e8bec5d7965dd166f3e8c8e7d66efeb8153ef4d773042fab8702962841365e7b0d447f43c0944a78ef78d2c159bf9bf92b0
+B = 23a789a04dc6b013f71a53f66f6ea941e058780b0013cab8bf4c5355659167a78dfd7e708d9bc0a9fa9b3ff2cfa0ce41d60f4369d9b30bef9c09d81d78ceb3d627ebb6e88ba71de5b4332e712406005454e78552ed0a34d36b9ea6cf140e2dc79602d63866a43ccdc34da731297710ed45ae2b4c9b4f4eef7bf0c820a1f9786b4263d600fb376f9c75723bc8388
+GCD = 5fd44646d556f78b05fc93e514f307a0cece74985ffb4c216e7463268ddf418e6b68289d8e7151921f11669536d1f3bbc01975eba6ebb8cf3c12e8f7d8458389e8284d110b2708
+
+A = fedb1db662442f1ecf0c5584c39ef4911ba854228d84f6dea02a3302b101d470897a73a9c2cecdc933ba030c5b2593199d9024b9ecbc1ec516894a3ee8e4f4be289f18d6d11ab117ea8ee4242e0b212800dc70b02fbc74de0a805689439650ac089e98ff24191dfb04054ac28e70c4458a7c5bad0cff9947d2dd15167747194a059dc6dc347be231dbd75042c2b
+B = -666c5ebfad976ab023ca571ba50f850a3d9f8964983397c1c4ab996fc8921dd376bb9dce143bd03a1cdbfd9ee03f2961147c42b53d07308777045f51289a3a3689f2a5db6492d478ce26f866383b23771703a02ee1812b0c3d05c331d1409e1cecaa86c10bdd525e0b0cffd7617238e54ba9956a12d5f384f30284b37193df6ca12a3a2313fef491f43581e3ca3
+GCD = 4c314f61ff0d0da6bf4df52395eaa7ed7d3f3f16f5bb9fa1ab82b07e7dbcee2bd5438e26d5f86073e0062e0dde824c4121a377c537d4d7bdeccfbc67f1629ff1e21ed4c4702f79
+
+A = 1dc0aced92994d2e5c24060c620576c3789738ebe5f7810c4d763ff700574bf63ac366ea3971b76254bc3e9a5b07d87da5a567aced1d7e4a7ab90c67bc2475622402cdab454df5862ecc5b46eb8919d91328713df150d5da542d1b3704def1e92da92b0a18031c87c036e8bdff0c83858944e0c85486d3a44a8fc5b6e279d1c4fd7c551da71b158cbef71b22d0bb
+B = -2c03cdfd2614ca09407ebf500a54179d9c76c92d1ec63aae4b5ce5c7a9b0130684491e2ceac349bf84358474577f99f3b1b5b734358fdc69ca96e3dcf43ff49fe06136aac546ccba54b130459771a317003f0228faadc33d41a88aefcc215bc5ae5297ed41ae8a9c04dbe2f010bc49111db4654a07891fe54676edc8378c4c97f8bab7b9435441c1ece0756db9e4
+GCD = 811a1c35cd903d83c563e1fd437d7f4e76fa8e4ea97a61df30b7e993aa7fe2d7fd491dcbf45e545f52493baa941c122f81f62afc2aa4e6bd853b91fb2760978a061b9ad82b9717
+
+A = -1a599ec72823ddb64c36f739ca42313ce91532ab2a24eb61f85266f5659c1a8691c848f7ea5b19dd91b5a4a4b0d23a045352cd84b522befdbcfb9d6809e81c4370557270ad3137eadbc19113ae21315283b039a5c7064cba8797060620d101dcc9741b9e178e6c845857c31d83771bdfd0672787a3d86e97fc22c46bd9e9dc328b82b6f019f5ee1b6e49dee563108
+B = -15350e9da0fb1739125ff455eb09daba12605c8f28ffabd786e2875150650f36b8a7220eb2c571e1250559163e22f12f65f0c74ae5f49a2cb5301f9bff3192be98636f5e03f127e73473f5059a2f4d9bf9efd7cd6cc1ec9d38e3b9e26ad85c8de6fec79e7bbd195f5fc5cf83277139940534e065f9e3f6b50ff0a2422e12b6db16d3ff72a3164a00e2bb6068ea1d0
+GCD = ede3e5a6a8b7f1c693404abcb0a01519282de1832258bb707e158f643d044c44464cf2a3b41261c78d6ecb37c01794a09fcb44c6f4db85a526361971a3738c45261dac4795e0f48
+
+A = 9d254aa6b5c58362b0ea14e115b8d6cf3facd87d028428042748697b3aa105e8e796f2ef9bed4844aa520bbed84efbede2d9ceaed835575233b24955fcbada6c59af92f36d83ba89813e1f40dbc36f3a9495571f3e63f8e5a7fd6ac30b5ea620fc9ba45336125772315eacfb139e49549648311fdd609a1b14bacc262bab25ff95f881d0d2a35016a11f04202a10
+B = -70d6a02d24ed895ce3881585c57473e0179761a0032d21637a06b6786ef177a13877b4892cf7aff93015525bd331d150b06d393407e46126dfc9ee3c706528f6d18125408c01780082827f57fec2a627ab4ed11ef05b988a78f64441b0b0e5dcb73aa0ef3509c7ba297a33fb395126ff097932e7616284efa85fd1e5a503a6c6a1acfb48c3ab1adfab12d5819b0c
+GCD = 34c2f78abd9938d9b89d15c6cef07694dc6e07df7b581666439b3383ae78c4e8b24413c8b17c969e40fa9f50b7747ad37de23b3d9ce53f966c80a0300810da3ac8722c397627804
+
+A = -1476512b768d51d1357c26becd2455c609f690dc129af9a3b0a3427009b31b72d3a7730bf038bc97de142a670423ae77172ca646e21afa4576c3f8199adff7e20d435234fe189efab488a1f97618159223caadc006bcbf77c11675e05560981db97caf54088948b910bccb0a9208cb5ef66c620db4fa59868dd78092a53a8894b503136f1925ff01550cdaef38dc18
+B = 1391c5ed08d372e87b277f16072e6a63a15dd18e84b079c7d091aaeeb5a73783d857b13d481129e57520c61c0f1e915f7648b0bade62a7f9f7916be6a324552062a0a9c2bcf387aa847c113a61cc647bb9a890d1789460160ad3aa1d9bcf2a01919c91c69e7c1ba92f256b4132f96dad1e51bfcab27ecc88e7ba6d7a3f139a5714c931ca20e5f083253f13e8eaaaca
+GCD = 5420356572d3d9c32cb2a0113749c7da88e86ff4e9bc25ae0a63fe943e8cc9622619a5275976ce61cb2962b81c7d6b59f2a0aec0320d17f6df6f694f5d35ad6c4fe6bda1731fad32
+
+A = 1d739c647b14d9c925c9ea783b2c0470e7e86ed0ad7ac19eabe016976a115b70e4369a2b29b83c7c6f826df023ace50ea8049a1ac94d487224f924626f6acb9d45bca737b9d91bc9c49e121ba88a7cde32383481573a9ebe30f593815c65bd5ff55032ed51d474a289b8e2279ba4339fb8bb9312579412231310649964543061ae5f194cfc00387bedbad475a3e800
+B = -1ab0b0ac966f3c6a0d613bc7492d33acd6f6cc4f9f823c9d8cdac73bdce1bc9eb467ba17841c689e1d24f298f93b28af015b2abea54c90672f4ac9c6d1bc6d57a23795cec60c1cf040a43a81c9c7b57c093c61a2ab83f4886879b30d0272defe06bb1ff39d08737f79f9bf7143d7b7962decba9b6ea5fecd764cf997e27e053a0047069ecd8cdd0ba320d46726f377
+GCD = f27af786acd5823b55e2a9d89fb27db0c71cb62c41e034fb8004a7631cbeda8267802606bd544a1045e01cbfa4c439701b256cce895e97fa8a181f1b37894c97a211d97ccbdb83b
+
+A = -e41ba44ef0a3ef96b0e9829da414f941be4ccd2a1f50bb67a8968b5b56e7c188961e0025809519fa41b65c7e81ad7e8d7407cb27dfb5621f662e3e5b33b3d0da660527a75e72b9c09d979b13edd23ed3f980c45d70401908dd2de61008ea222254f82f94132cb902b70d2422d20fa1252a066b498bce838596bb540d160e4d2c3c513fc76bbb34987e028a16e77cbf
+B = -72120630d549bf03f75b3692196ec006b92ba5d592e8a491d78bdbc88e19d563426559f9c3007881f684cd5c9693623beb8ebe8c2bff5ef471d1f15de9bbb01e73c03378117ad9c8bcf91199f9ae6b89d5b39c3d4f7774ea20a05f94dca9560caa3f7a4a5964e00531d7a77db616e18009ded8ce405cdb43c14db058cae083f6c6ee58390b4201c6a322acb2a87dd6
+GCD = 558bc335731e2605651c347a0c442bc782ac65e74925697f0d91f515a38a0fc80f1bbdedf075170260c020e1dc01730dd8562538267f33f082ee3b6d06c94b6088090f1ee18b4e49
+
+A = -50f616a9f792ccb1ef70f12224666cbd106de6e079d372cdc0a6795aa9dece214bfe9b34477aa7f66852e27b9913e7537ff6e3c551c402a1ff220a617cb0633f9cfb622ff2f186cdf749fd2f18c185a2e8dbb4bba064abfc5f00ce96fc07ce53f2fcc03489dd83ce12844dd143b1faa37637cab420fb96d5553d155bdfd2e8a71e14a38ef1ef1d6ff81a3d2e3c6ecc0
+B = 20de912f3266b0ccd3cb688b964c64915dff91d406d359fb8997de628712dac18d4814c1dbcec039ddaf11a1bdee44ed4b5e313d7d60a87a8320955d4f16131f4c797eacb3cd52a005418ba9dedf878360dc8ef9621ac8a9e35caa6befd180e553393ee6397650271a46b80b70560523ce9c3826b4be8d0aa1015c6b8e1e2444b8f0fc313a704715ffec69d0869c8c8
+GCD = 318c076ddc7149d530d633cb8f2fcd72d1e35e91b6fe929aa9c7e7b4817583cff108b3f068157f4b218d80240b5086f674f04267a1266a8c3b17b2793632e2795c96db19f9ed5e58
+
+A = 60763faad9abc9ed8db507825b827c9ae30b0f9a2ef88ce0b07ca284732418baa3a4bbbc44dc351daf7b5a366ea0b166d1001b2dc6d5fc13dc1eddb4bcf002263a23f926d471c905d92c18f4f9ca82a26759b3d379152598a611bd42bff8c4739e8cdb594d3a777c54219c8adf58f3def18cc036905ee3398d5bec163500cebdc54e5247ad6b40de2f039403a018f08
+B = 25206906ea3af2b5f57257d45fe63e22efd7800d7ef8b59689ff5bc0f6c161d80767220cd610c41976400670283adaaf53189504b6e2b641cfbd02973da9b8dee2f01b19c41ff632ace5254df416d216094cf396737335a4c27d2b22ef9ba82c15272e89f5626fede9c4459b9ed4422e6eaa264df02e0ecf786eeaa0e89b331c3a2a2e551d27bcd67b237fc8a2e0e88
+GCD = 475db32beb7608c2760220455b7095397886cec48c04358eda690743b96624d5f6dcd1090a764e9de83ffed812eef64a197642bab60ccc99dc3f22eb7a26224998cc1a0377f924f8
+
+A = bfa32370445f7222b6afef3d771dbd4d75921b3f45feda0c8088aeec4189b50dbe14246b3ff7df898b11472fab719b65118bb1629803dc5886ff63f7264bdd4033a76c6ccffc7e067185c96ffbf488f3bbf9bc0a8f0400776119f4a995ece92ed63aa18fbe79c8c19b92cbdae8e1c0915291af50795eb405e648599372a6e9ba137e4f3979a53d7b027ac1a8208906a
+B = -4116b938d9ab2312a3dd11cc25eae36114941743f9ef0e60b966f79cfd7447c524d2448f29b78f8653243aa9fbd5f5fe1dac68148d2c83f4b61250d40fb4a2b2566ccd44c3816dd8fe60454a8b1b1f488035daecc7bcbadbe225b6387145cb9b60a6a40b75f08d325f5fab9a0d8ecca578a0cfda41561ef25c1ecbde5b593a45ee6e6a4deb7c77a668493ed467c3166a
+GCD = 6903ade28739da85afcdf76bdb7e02d3cc415f5a8d1c0fac40a21c01f97148a61e23ceefff016dddb1cca68a161124e9a95f3c7adcf2fecbfbfb8bfce0644ced3dfd2fa84e65feaa2
+
+A = -160adbc49f4e15fa9005d726e36a334da8e7904a769be5d80f4997cfddf6c5417b4121de7a9b9e3d228ada2abc7435b39d69cfe6c2bda6d3d90faeafd8e86305885f94cb0533a81ed2ccdac1fcf3f7daeed231a5eac79cb631d75defca88f64f700eccb364241cb232b544ef2173422110d6efc777ac559aad31e1410f23ac7905f6935c7385d1a488260f62652b20424
+B = 47b63fdfeb51b3848c747a75dba319a4c4e93300c53e3d621a08caa20ee37399f9f4a8deab4e718459b2f4474de4f1941953372f13a09ea6e98d1b364e58e4a9eb1c0ddd22a32c91170e068853204858340107058844dceebd4e07e14362eacd71ac44167afdc4af0d5d9b20bf1fbf507cb7c3a9880766b91e75aaa1cba67629e0d8c8519d78d851f9331eb0b480d8d4
+GCD = 16fa1abc9c64ed7e5ef95cd9551c283d1951f1e7422dec2a875b655fd85345b35e648310172d219875d4b4759656e18676a2ce6c6b23b76999b665f2e1cf68718989180583f276714
+
+A = -2a876bb3a1f12cf86fd92902446843eb4245950d16b3a17cfd04213806c6f374ec915e7613b619edfa27da1e9bc9cccaef4f3279295efc31f9405cc8eafaf300e216f026fd4b3cb160226ecc129411f98c04dd5c5d75aaf1c109e1dd9f233765a58bd7bbb47ff98319dfca503edf2768a0e2138117a06f615488f9af12d03a404bf350f32b19f956463341a364ddc7226
+B = 3585f45860e9a23a87053cfe2c5ab15bf579a9cfd6294d2dde1eec8555b708f3c94818f23ef0af3efca2344966828da17e57257ac42ec3cdb3bc305cbf1b8fdae81652abbb91142fb5901ab1c53dffe3cb61f2b65875b9febf98d1e5bbef0d960730c7c8d0ba40e9275260d00e4c58b9058f086ae9296551f462cc1592a10700a6f833868a7a2e5dfdc5fc394e865dc
+GCD = 210331543ac4ff9b3280e87a355ed332c0697cf55948e0e07d88e7895fb16c2f9a9112c4e7380a76e550049fba336fceec74b61f275e31f072df3aa9c671985fff8fcb96df773c42a
+
+A = -eaf58935d789e20af6e90180ad25b0553237c5cafb0b35d1b769bb81639c4092016b6f69aacaaf6e544d8273d4bcd29a1592239242827a886627b911dad4d2b31422747f4941276e2f2ed3d93968ae90eae0f57c036f957e2aeaecb9463518c387d091245edef0b6398d20e296d84c35f170bc3555fde665f055ee22c5df405205ef06a37404b2ac584d63a9d5bc918b2
+B = -c5c974b2ce3c113ba9325265723021a5b263bdf32f6fbe35de43b0a318b266e3b92b7bf0b4065df0f9f4ab2042075ba66208470c654294f53e2253e77580cc5986292d9751dfec0759c96342262ee98f3b9c9655c10e0950e4a126d60a6f907ad7ebecbb8c2c96bb1bac281e1847a678e187542020ca9cd7f6ba819479f7c36edf4e2a56b78a3c182d1b6f020fd4a76a6
+GCD = a748abec8165ac6b084ab18f80332206906307588eae3988575fd63972f0b01d249facce750d9c4085a3f43458466bdb2f80443b4687ccc8aa8ce7d7c3d80945cfd3d5505f4aeae4e
+
+A = -1a2ddba7ca3de7b007d3a611dd6e02f67bd8b9f34facc930215c723926bfbc9adf4f6f034321903fbb378f261f21def2de925d9b5e5e4e257944f9aa1d2ae68f985d1af747ad7dde70d88304c32867fd687ba17b1a779079acbbf96feca068fa57d401731d43933ec17cbf40da0b9010cbf2b593bfcfc15b4e591a3caad2181a8550bd571064b3749141cf9b7373df6ee3
+B = 200f4877f01e8894080741e58e6f8ad6a0f1d3eed613e78bac4e4329081785b721005b8bfc9d6a1e9aaead5d85927dcdf576bfd904bcaf4b5b860b02c2bb1def7da081faf8141dd9bfd5b206e8bcd4e5111bad5a33b11ffb7f913ff61cf579f8cf7f65af8a6eb881508c7a79b549d94f41ddc080d7d8b62edc64da308e341ef621790632f429b4a84ca1ba1f48e4004bcd
+GCD = b0811bd1eb49c9c2cf4f5a58d29f2f9e3291721991e6280b6b84e641a0c3a2518baaa7166e256987bb43e8a6a564872e1213337a62fbb2d01e3bf0d01206801bd76bef10d77665a7b
+
+A = -f8d14349efb35f8c1f91caa7e72144d3da751692a506e1cd7d3309a414f197a87e46aeeab0cc9f17ffc78219facabc3274601e197ea1791b3f0afc05ca0e6a4fdf588c5bb5aec074f3ec2c6fe964a013a7f5f70039bf2ed39325194a6b97c1882750b0f4d39de3b43058a646285f71ceaf3f1f3b6aacf1bc6e443af2706c7b5e851fa713cfb1153c529734083286cd5edc
+B = -a8a0667c624fd770700ab81f486ffcbfbf31c5f5a3b5527e3562c019eefead5caa62d18e4690a5ac0b1f54b45b3bb94198f9214cfa7ec6c913c93c2ec75429ee4d340736dabb028889b9789dc203563c38c0c4d3fa8f0a0b5e5ddf7145fc03b8e847bfb0cf5c03f95b6a11eaf861371d08d410f079432da1938fee4f644a21f29911ae352cbbc78c53cf24e43fe1c452cc
+GCD = 170b537a61b9ca5a169820f72c0fb4ff90b39b74f6b560ceafeb1c7558a005a178ca17b77931543f909559901ee21d38b8642fa79d9b6a788974979fe6b876ebba2d7a8e572d9105cc
+
+A = 41ae9756fa970deab696612859a75d8b64e446820d8b76e81ed081f713a65c7663b31882d1c28a90af05b1d4a171e9cb39b538f15e93f02e8c9b488cf99f9cb5fb551e0ed44dec761f067e87af900df63701f8a1e4867eab59a640ccf9eeda5cecc88f6e4aadb3354d3130e98516472a439d4160056d111ca77bdde0bad1f52f515864668217660bb3988a379bea87d8048
+B = 253b9ab0e304858e5df1e26f5a628a25d0ce8b3bbadd7c451d202d782d80ad2beaddabb0bf0b8e3d575761723d3df42d62c42c16512499e8b4a8b6eda2ae5f919d1bed78ef2274d5a845f709bf8c8ebe896ae8f0508cf0a53e96579357de334ad9d8ea3f8bad168d3d1d93ee1ef2296b578a656ffe1d37eb0824ecfe95da822eb91b49289c2357e04bf9141cc94344583e8
+GCD = d9b78f4a2eb560655a9e06ef684624e0b8703120209778c907abf06ad75b0c923bf93194b7708d36f9eb3a731ac11a7f84ac55a65b84f2e544afafa2d420086ec23a480c129fb4dfe8
+
+A = 1a81ac2de202ded79fc388027b33c256a04d1ba346abf66a47d8b10c60d06410547802f3ebf9082cef504cc1e572fd4f403f84b5c4101f271b784cc92fe443a6b0cfcfafc4af03f8a185e015d80443670e5e52b0c768e70100852fba9fbd173dc158be6ecfbd91b629d58ec5feea6f97e91e516a16c78acf88d01000f696fee4849feafa666545cd4f0b20e0df576dcaff51
+B = -162c7b5fed1ecab532afe3e81200f5d7ed790c39681d7db4e5d5524d359c539a3e5d33d105f0785bf2f9ca963e8721a814bd9b535f0c73942169e80e49de6dc4695d3e5097755c13709541ebe42a2a59a69da7d9e3abb456a9870051dee86fce1cf106a4ea99996532ff602283413127e9ce555891b83574697949df316fae4db30e95a2f8aec9f549f653b679ca12c76352
+GCD = 6f67acdfba992a6a06d55e346e05a5198834bfa3b94ba9af051e6dd777805593dc4b792783c36f171aee92fc04002c744d0cb3dec5ed8d189c2e6fe1b32dd965c51783a1b7a47dc155
+
+A = -62e55f65c5a45433f0eff7d84d4a90684a7adb36af0b05d8e9d4b3c975c8c70e54816a7c455114324e6c08d594656f1641564963e4121f3822a5954fca08c76fea29fca093e556db281bc3ce510246b608becb67a7ae9bf1e5900e6d5d2c860aeffa57c25cd09f8d1290c7c2f71df8eac4ba456f10e66d6a4aa0bbad1c14d0ca7eaf9073379e666dd9ca88026472513491c4
+B = 27dcd52867fe0e75c5b1965271c0220cf022249e1567c2c3b37190cdbcfb05c8c78d0955f36c5a61aefde18259d9dd10223374fe71041d52508be0393f2f026292d187d1c2c04df792cda75e6a5828e4ed353f2ab83c22b661c6ab6d0a242cfb1329cf33060b1356c6f5c8ae323ae5585da70d7770788655f354190e9c29dedb80f45b02d95e785e3190126cbc09e2f209de
+GCD = 5c70ec695161818b41fbf0324cef4a35f6be0f8b537b510e26f07c2a20c7b2c245729b1e1eb3a8ed7999d316c8bb86b3f15002b1c519f61881b984c3f3c5fa5d0043cc8b39d0c2888ce
+
+A = -31b786b561f1f2db190dd971f5f1e2bd87ae388ebe0941595316335e26920145a3e122788ce53b1d42d27dbc8e14517d3199abe0ef5759bc46763ffdd916021585636a00d2b476f6826dfe8412971a74bf4c9b4d6d61b1f16768a4a8aaa4bbbab8a89737da56987c9559a42ba8aef02946932eea76b08be78f8ccc342a90b74a756cbc9ae56f19605d4cf3190433b1e013c
+B = 11ede709c3a2501a61dbfb7b6e841b0fe345b7b3dff540afb724c900f643eb5a30b2e19c2eb1ab76011de1a3b4f6d9c11bbb98dc60f900879e91b80c966cdaf753b64600980506b35d9e6cd38402b545f1a11fdc3805414726820f53feb2b1b5a7a879df56b0b27cd8620f49bb4b334834e272ab58d8917a076f0b4adc99f3542435b0b02928daa323bfffe6b49c7de396ca2
+GCD = 3d50685289251bf777b6c9d61b91e4b645eeaa7a4caa5d7e38fe5eecaf386977750a8d403324e6b6e22e3f7a30b4bf9c48068058a1c5d286d1818480c993ca0be952a061538284ad2ca
+
+A = -1ae5054ca2fb5e9a90cc0e35cbd014ef9c6882c0ff76fb730f3aef494c532a409a018a994d8170a00654a901d76c1db43224d3f12b95d11ee29297bcb7d59a4004d27829353cedc140b08208c89bfc58c9bd9d0e873dc6d8228cd1324c09b0bd91ad908098a823a58e064d65a4d5db384037cb8fd9cd22b5d682c70691bb038065e4454f83166218239ac6ae4a32cef472592
+B = -3a1d124ed840b8bcc770549b78a2904989cb64ecc797a671d9ed2bb1034e5176561574b032ee9ee0915bdb4d68514ee3adc7bfcd1f5b114561cc51fbc485dae29a62562085d6644419c192a6f9f97f4834304582ed5cd545eae322cf07962ac4f12fb53ddd3a6c4c1ff7679310a949f33ffb990da9fb44efd90dd5c26ee04f8e4445354bf6410f0f66c83e5dc00fce811b114
+GCD = 6603bf8fefac8c3d584cc08c9324a891bef616c354b4fbd60d379310e187b7c0bb606194e37bae74dc817037d1a2555a60f5ad3b529cf7b4f2defd82476a2c3e48181ba81976dbec3a2
+
+A = -350e86b67f805ba1c9ee8b5ae4d20dc5bc3d5be3775c37344e324b8cc31410538e43eca744c95e9d24a0cc2716370094e24ea4f1fd8729a59812564b13e37ad1550d07d7deb4fd920d3ebe3c11a392927ef03ef09c141cf828f243a3ac815cbc7c6c50496e19b54614f45e9511b34d571a8150307b5ce9786afb026112ccef51568b04cd4f1d1decdbe44101e172e4eb90148
+B = -fab5cad155fa226f4c3d840c2c4a33a365d9028f48a4faa1397d3289c12d0cce7e1c1d6a0c1b3409dd8bca027c4bda0ae387f8a847176a854d91fc6c82f36112953821816e606be9a06425a91e2ca64781185e11957c1cde65e3aa0a09c5f8d832fffa0440295a6501b3805cc7792b23faa74b8d648d8c733bd4218003f4a1721a3dc088bd7333b46d70e7a8758ec17dbf210
+GCD = 4404c685e043167e72bb9ddb94bac36ce65988cd5efcea67c9f1656ffad2bac3b2d9360156c872a52930a831ea81b4ecaa68c03f30294489fad28bf9fc88f2c52c56e971620f2071558
+
+A = -4626c643aab7cc7c137822fd6afc7eff6c683bcb0cdc66dd8c335cf25a9af0e6e6ea968b458c3c740a4f531d0a14ea16304ed1c60110cb05abb44798da54e436308e84bd124fc987ef0ae756287bdcaf549c9e2f82820996295ca5100e27ca73112c171fe5586eb5c0932c6129514253656a58e37f4ea5fd74269990ca5e2c0be214cc0939107923e540cc657f1b35b305b660
+B = 474abc656d55630f5c355510d4e18f9068d2ccee4fcef73e99597b1fe372c4dfb93d687e63cc8e8277c76df0b130122d9d0e7877be559ad0f25561e2a4860911fdd5412bef2f304a27d383e26fc392e43ee6f2ec0becc9b099a5e60ea49c23670de62a453bfcae9a0f4dde712dab6cde187ac376f0bbdd53fdb35e3aa86e77e362410731aee46e84321610c3ef0c10facc10a8
+GCD = 300dc9d12e176647a62cbffa5ea4369fd5fd3d3aa3aafa1fbe76683dac3e303f15d9cd7b5072ade8760a5f791fa0e2ee22105fade99e0b71807b20c39d03e999190e11a6b72bee481f18
+
+A = 602094e49801835c943e1b40488c873493d58cca6f5765e77a61b6682980b7089dfbfa1371393bd2b199fc5239d97da88207fb384ac533415c2034c6713646b7fe95a397c796c5799609fbd51e024fcadcea6fb24b610596b8acd61eac3ca4643454975375c9fa16de742a98f769ca73ef1e00b2bc457e1c11ad056f80cd02c58bde651d42e1777bc64762459895887e162710
+B = ab39ea7b824bfc261bec70b899656ebf089f12694fa904c5ae9fc38e6331e6ddd39afb19552f491ff25cfe07a86b0f94f06a0d78dd073632aeb0f618beeddb9801d5698c6fd210855e7cd48d54cea02cff8ee58dfdf4822316cb6589df0c5cae76c43b0ad7dd3b8b9c42afc78ba2f95192c14eda3f09b393de6cba225989333890ad59aeaea496818f695a96f7f686fe6175b
+GCD = 165af20abf538bc4abad7d8a38933bb4ddb5bcdda900a829868eb0b6dcf1ca2817a3499fde65ccd7361dd5069ec226a3951dd3c14989e0dc387a2815d08907f2e1d305d1959b446c634d
+
+A = -6dede822eac77dbf0cad2050b60762a3a1fd708470b2b4d681ff942bcefed2b522a23d09ba37bde3aeec22aaa75ba4899cdba3fdef80c6332596163596b5b771125b1245d2e781f4819cf067d27b734f69c5080feda008d27671ab15f2f73723fdb5792bd206b3fb230674cfb736fab0ae2f75f9fc30edae880c5efacf05df7f79a79e2610597fa15994f313401c0d5876b75b
+B = 16f51bb41673fb6c03e78ce6909977a2f9d076eca100f5065a1e090d186ace2cf41f0716a0fe5316df7cc0cd93deef912f8e4ce37da53eac896eaa9bac318f7cce191792525920222050b268585b76ffa93975332a13bde0ba36be5303a4503962ac1f7d3ee174ea088bf3600274321d5acce36cc961d87e03a3cdeabc43eeeaf6673c558da867016e4bc990f99f1ef548f4057
+GCD = 372945b897af6e0590ec74d710280e60391bbc0167b6f4d2b3a7ada91e1dfaf5eff12c41c2fc778e17ca872b6092a1542c7bdfef1f89bf2361f7ecdc807645b607b3751ac96fb16d8c99
+
+A = 1d3b3533c3828ebd09d45343e061999c51d7417af2049320c124fa9911516748eb600936f2f0c28c9c4cebe3181de4d75fd56aec0238d66a050e6a27a3fe9a59da229f20918fd3fb035514281b4909a229b4e077362cf2f841a5e1cf03177cfd22bd2183494cedbadb6113fcb5273e7250c3c5034cf0a97f2d33a2e569eb4498bf573e26efb8e745210358b4dd232d29dd284fb6
+B = 12054d1fed423fa7058f380cc96a754f1107cddb4a5ded5d6e13a3a374ede9b10e36d1e4ca9613a9db02922b3e4654fe126584361615e5ad2cf73239a89211439723e6078f992eb96d2d46464731ef486e0f553a4e5f6be86a0469872cfe430b5f3cc2f354352f7af04a0c58e7e4d8b1911229bdd617eab2dfe02bb18ab9d13f182b527d05a087a01acc0f5f9866c43a34167b84
+GCD = 7dc05ef3638975908fbabcf3ef57505a5f714b20f806cc7305ee9287366caf547a026dbb3ac2744f917fca87b260c8611811cf797cf80f0834b7298eb29242cb6a3b9f7627d2901a0006
+
+A = -47c5112e78a8bb851d1175c9d5b48ed3c37a5b45cb13593f4c0449fd04fccc2a2633c6348e0a7fa9bfc18e6a4935e9db3e315391d1005d92f250abb54cfdb0592645901fcdb4138e80f34d00e37d38ce11b2596a1f7c7937628c41bb28849e0cc25bb5c68f4813efea4ac2b5f386ca9e73966f4effb3d5e3283976edd68d4a281e89dadf275007a7e18b760cbbe6635124721e24
+B = 5cbac0a8858dbd1c95861670920b167c4cec1fb3076eb0020bda54e7851fe57f37ebd488a46afb089fae4c8101dd6367812889f4c02cfb1587439b03b5f123ff425b15a4c9a1e89f67a1b56c010aaf949a8480b62e5a2c87c3182922f97117f478fd6b56aa85cac96dbb79b19288e95a6545176fd14e8ccaf69d8f9c881ef3f0b06742dbc25a0847e4c533e8014a60d667f9dcd6
+GCD = ce7c2709928ebe3d93233ec39c422d4d4bd266156d9651412762627708a40cb6245473e861a24007770fe51114c573b1520bbe62a62a31211520f773e7eb11d4de921a0330fe3ee52502
+
+A = 1422769af71e2d543ec2740d4b9e0dbec99dd7f005a4929ef59a472cd10dfb9698828d17486ce0d759e922e1162c84dadbe1ba21fb1320f8955460f83dd147f7afdda33c98904ad7b7b68dd14fb6536b27b07ab75ee495c816917255408aa736d5bc04f16375a0fc79f40dfb72ee6a52293ec773ac8dae0a2cf95cbbbde9caa9f2fd5143385930e99ae48771837d6bc5cdb9e91e0
+B = -a080e0aa6f4f4559d277f952b2077db758a4140f080207ddb465f978dbfe329fba08ed6d8375a1950092bbabb85eb61060950343a36fe47d17a891986a7c0df2183950a491de337e86084e8da681e4979292b3e59521d5aa4c91acf714da3d5dfb2552c04fab3404222f4b1aae188b797abbbfdc53c7750ec6dd46e2265a837e55cc28e821cba3f9061c4617c3f801defbc57990
+GCD = 2124144025a5c03658bc6a9c3c683c1993dceaa8226e34432f42da465f9ebde8edef30c62e35446e52921f0d2b12adc6d7162748df2aaa2744e75bd3741b4764be48642ca1d04544da45b0
+
+A = -3040e3a6a0a988d404c8d1c390c625a4b4005ea72178af01a348e0e9b39091867d907bd95ed6586a6b796a8e0284da9dd45b88e361ddd101153145a2cf6bd7188cb8b8ab2f9e9be3423983c0d8067686395899927ca4eaa7180b0a94d6b49ab98aedd55af6987ec6f6be2d03506e2ad082f52cf23c7543a7abfe814bb95f6c1d27f9a3e3b2fe82a02b27d9b7a332bb3f0268f1bf7
+B = 727855b3723cf68a0f8b0e56faa914798b23ad3ba1625ebf68498153377f60b7064861cdbf44121ac982e00b7443830b63d78fbbc7fae7c4d38772e128b76c9483eaae6503c338d1922e017dc0862147386a2a9f43f29be4d3854b9715e88be88ea191ecbc427890e07a7bd7c50722b59d0279bbd96cbf54dd6912fcdebfd037673bf6695be2a9635b8a938854cc563a9b93d4c17
+GCD = bd71e442bcb18d2f6ffb6fa3dbe53024c9418481045b8fa7f4b560878ba84bf414e1d3e16c79ab81eb97fe456311d556d83c87f7cc0597cbf62bf2f22af9eb29158e1e4f63bf037149dbb
+
+A = -8584fc510b131c2e91968aba69b8448b0955cad536fecaa1123a4471bd76fb621762be134622a6b73dc1c1b912304955c53e94a0471d3ddd000291798ee53bd1d3ce3aeb6e9e1e7412533771147029cfe5dea66c2a448748abb7839935515de61c89e66ede9a6ff861401d6a49b0f2f38517c43a8c125822f09bc3b1e29d6495cd9e30ae8795b7bf279995f899e191341e76830
+B = 19442bba625c7be7988d554e11035ff7449a9ef5df972fe17f141f7daba01558841af389b22c61ae32b830d8263d2f59c5debef873b9de9e4f151dcce5300fc4efec23203f2513998fe624d17e86810dbbb3d9094ecf176b977400e4a252178be3c054a9cf54fb327ec6d1bbb7785cb19ecbfb0024ac0d755093d60314a92f0941891e62f29468583feb6bda31747177b8d963ab38
+GCD = f1ce3365d8037b9b545293c982035498287716c050db9d93abcad4464e39fb2bb97b922d5471f7c7e68a75a0530aa3c603de525ebbd7c930830d9c75d9ada6bec681b2feea37dfb13e788
+
+A = 69646509f5f87d6ae1736bdb51bee16e9792b0ff7329d254567c3312b70901ad592891515b8221b7a0196037d642056a13d60447469c6e3fee7a3199f4b67feea1eca98655913b8eab2d48684505dc831abb2ab7bc339c8e2845fca854d02fe02aeee5439b653b501220c8b9616a555cd5c9bcf36a8dc0dcabdba21f3b7f8dce69fe14dd099103f15447da2fb0d1ccc51d615844c7
+B = 4c7b5f0dedfa6ab91903884b191987bb00eeca8d6aa2bf12b58f5ee1efe40bfb3bdcd81a55654a9a774856e9f3c81dfb54870ea22647f055799762bb24b90509db14411370fbfc70ec8e0eabb9396c2f4ce4f1e04939c63402ee171ff4fcf5783bab56a989e1192e8bbbaad97d90615d54648485ab493d96225564c6b58f4a31f0776d46df8bbd7cafd46be3cd2ae12cd48d27c835
+GCD = 2e761ee61d22905cfa803106c9f3aa51c8e09c20cfbe026fbb94d5093189aea49538ee7fd8745656c0e93587fd6a0e1ab594b28cd5e0c7637ea8226f58c0c2a63c7a10dcda172d7f9253ad
+
+A = -11ebd1c45f0b69cdda8a9656267e9cd4f7434fd72e0aeb55a7ab0ddbb0d976b21a2c67c6357ff9af57aaa471e76d55567d4eb6c4c687c7e6b98a75a39e5c77204fdde6613d6d2860cd18dffaf62317f7389dd97027b1d1a1dae76bec28522bb94e0cf4d40ecb5b84d93e9398fb87f7aa41b233d3381c550f1d4dd8fba767904dffcf58f9296714b931ab13fccba91841b1c010414a
+B = -48cec63837a1589f4c8800f186f35fa5377667c869dcc2cb1c54ceb02aab1bec0fee256d012eba7d82f63c72bbd648ad292ef6c6a47c3eb67ae848d823d5583fd4f4cb3773aa8d60e11d53a45b792b19aed58bae3544aa8ee708d0f04abc835c07bdbe9612da5aa3af4c08a6557dc1554e751166d8ab426c13753c498a58111f12f8687f80a174157479aab5115039395b669f4eee
+GCD = 2b9fd6762705d9a1d0a22731dce79cf8df7c9bb55ecce498b5ea0a9dda028f34419aa95802bb686ea242fbbf6f1bf518baf618c50c245f2fd1c675da775ac206530e46aade78638785aa4a
+
+A = -2e92acc3745356834ec38e1b3e21f09bbb63350043dd712c12c8880c36296f19949199962d660044d5b188ec31b8982ee8a895929dfb6121b0031d04a3a8645268dd1334039ed6e3d5d6dd3192d6ab6f31ddd23bdcd9b71988a6418f3a97e992c4dca7933693df8c305398ab32a38433cdf287d4f6b2cbe07270d5df5d05de891fb2ba8a82113fb35ed8730283983316a3bf298f08d
+B = -baeaf785f9826ea4a955b15dc7f1513b12cf588974cc86543221029785eed5ad5ff8601f52189def0da883722b7a33f4f9e874b50af7bde2a75fc7688cfd4986d8a672bc50f591f6dcb7ef53f85037e0e6ebb89a6f4ccc0c33a9c3b3e23b4dda431b205d8e481c4b0ebf0a980c0384cf74417b23cb975811cf156982b1f3f3e7a56871c19dd31cdecd58d0e42ca1e957d8e5c02b66
+GCD = 2676645447f9c6673d1d536f0e33c25db66cc20b526cc1572933d9c5cfea00f3aa056b4e49cdf2cbd4fb929d3f2f52f100d977a672814cd389b76d40f558caa61e483fcf21858db49fb3af
+
+A = -6e3de0883dbaae94b7058329fd28fb29c948eb7a3b35bf2650bfe11224a92b2020bf6e33181ee1a288d46fe5db4b9a5ebc8e8d21075d46b9b55585ded50186c51967d3cf59af38927e91aa648afff1b4ae098b16ef583968cd9a9f46aa81e46c224390b1fabc653b3af3fdac53b2efde9d26e88b959e599ba0ca706a176eda4a80ae1cea368e791c6cd51abd76c03ebbb993110521c
+B = f59837df661773a0c4508ad0fed3a6d83bfcffb06eadbca53c99c68c279bb1084d68e367772baafeba2bc79bb7c67fa2fe1329e244b49f92c99e758f3fb14c6c901745ef7baf98055f6090bf4fcdb7df9c909b8c0aeeb2f456447096a39706ff426ab486029ff9d404bd1480f9840ebc1a5ef2454aceea2312b4bb1f07e6df5fbcb4ddbc40cc75d1cd0a849584043acfa1fd8620ae
+GCD = f6d94ab31f68c082524c7de07c66f3efbe8bccc7deca97e331f8d257e0eddd4832c094fef6e024fb6f7b707237cb64059712b91f8c95e9affd13d4b2db075957abb30926bbac9a65ae22a6
+
+A = 1a038147277fd94affbd1b37531a2a442c0a1a7fd8a983c646c29ed71047ec277ad3f41e7c2bcb362cb921cf005d558ded5ab92db67be88861b3987e04bc113b76e7f2ada0aa6d1ebeec15fe78a99021695af9b1e9fab3a3bba690920d1a31421ae876b63233633bbc64b8675c5e40c6436da9d0dbfdd56e1c724d2ede8184632dbdf13a82c3a2c5300734d3bdc6f1a0295246213099
+B = -1425f2a98b63cfcd471a00f21928e48e7b8817daf318b43eeb595b80252ab8531bd354240686eed310a53427cd89b8430779ef8bb610c33dedbcb6a8a800d873335789f76f9265dcff2d059490dbaf84dff06e4a9ffb8e5caa75206edfa448f381179b6bbc8829783cc5563f2ab06d097d25a0d76e7285d163cf0014d2f6ceaf0b58d6794394d42fbbb4cc2d30f0af37d5565c959597
+GCD = b001ebbf5f474aeea9bc7c268e1aa7c7c4d251d1434cee15b7d2de1023bdab467e00f045b4f687da2b05cdf1e0b49d833524ff1fabb5900ec00b56d739a196be3561b7d113e62a5532b911
+
+A = 8abd6652f30d5114f3b08fb47300e9c4f064892dc98e47b03be6122848bd677efa9f0946b9a9e9cfc984cac0be1dbfce2637248cc962578524a647fe9cb8040d09c947510f1b9e83c2a842c65cbf623a957ec99b1dca7df84d01ba617dc51f0f2e814fa0e46d41c917d75475263b89a5460945b30be2506f256a3ed65acce8958c58e3add0cf21d62e8c24e0e1ac87983f465b3aaac5
+B = 71a2ac92dbdfe7b9c394d19099e97d7138a20ac17ad0212d3c6b1acbcd29afe6761c1f752d05c358ef6126647fbeb906e60cd591008f8b6a2e0c6cff637a6eb7baf2ca1582fb5872cfb141ddbbbd15f1d3a76a187df71712ab60ff201c9f044e0741f2015461513555a2a6d91c991272b016acf88a1d165ed7a1ed8fc03069d270a5d5fc83dabfb62c325c3a06f9b3190875aa99b8bf
+GCD = 14aebfa6ef7c22cb429e8f011d2cd5f8d722c8d8f9c603931fd26ad6c02919916136ac7e6c2c9b1a4db9a4ad2ae408909e544eb5251221fade828959ab37d921ceff929aac55ee6c33d7947
+
+A = -121ac8de1eeaa402bebf43a5d63575c2e6d5d49329f9320319182d32e65eadd7bed1dc2913e08c410b01b70e298a709eb09e6246da75947e84860933f4ed07c2f26fb90a702bd9316f77e476df80d1bbf7e8e1f8a43bffd6fa596b8081d16a98ae06dea9203d8f96256a86c3e6528af077acbd337501c3ffbc3bd9e727f22645534e035179be9a62dfb0b451328d7f4535f83de84373e
+B = -3b755b8a63903180eb3a9999aca1d94ade18e021fb56979e20d2a8cfe67edf50119b8a31395c85354a471b2ce19648c0d25b0d09cf8f8de94b94088d69b352ee4425ef78121ce6b02573e4c75f15dbfa540a73e1a8b6bcf1bf378135a891259da0975cd6978ac1292aec14eae596c16099188ca7ddad2940510ae76686a8b6c20b109a227009311dc375d538e754accf0d1ed9e3a583
+GCD = 7d5efa86f82336ff2b554f561670a2b6834678a87fe164baecb402caa76745a4d2a92cd4831eb1c92c01125881880cba737b97be11fa9c78916daa4693a65e2c8e7da0488db3bedab705cd3b
+
+A = 1a2ee9716e653485d99ba938fce257d33b21dc38cd992e97749e44d6d4d8266a94cdd9bb9b2f735d54dd8657b481440094af2c06c9007c9be42ef3e2ec86cbc08664adeffa10f9184ad8d67f152847f7ff3889a789b1fce1b423d772fd4ae9e9526ef2d32e9a84f37b65771fa752710451ad4e8ee257aea2579583538dabbf0d5b53aad6ecd4daeabc5a463deebdd37481041ecbf035af
+B = 18b25bed7f613ff0730f8f59dcbf28e8ef54ed0fa62b1a00baec98d2c2be7e5c5e84674036d8ef334226295492c73ef06cf712366e0561c735d985543cadfb4a377755d63ad0fdbae9d0b22273330d296ac3596c04036d1aaf86e2d657cf6f40dacf60f6921cfec8f1e11858a0293de95271dd02b2a68bd5d05b79060d709f007dfb8137721bbf762c7d3786b1350baff749610dd9de5d
+GCD = 17d64e8dfdaf7a86b15a713888635cb7c5f806d5ca8cefe2fd0b6abfc3ae5fad9888df7abe3bb6d781d9d44041807b34976e64a5209593e48b89c6068c12ecb0cddc3e29ea84b826934a8953
+
+A = 52018eba76e2932a9df722db4e74a980088a7731cf0db7cc135d90051627d6476fc413a718faa56b68397c7c25beaa7480e35dced32788dfac98e2f1899ed442e20f97fb4788c5778a9dd8eca1eec8ad3c573245cb8118868df9aeba962933a683c2a082cf35b1eecd9835c87d9d138a199a4940ef5a8e2529b55a73f5049e48304c589315cb87b40609d14d727ff047ed30ebda9fc969
+B = 2dbfddb374b32e5086e4214b34e65addd6abc54e268868b0e5c752179e4c090b5edcbdbc98bef4cd633d5f031bd0d3e77263e544ac82bc1e15e974a17b6d8a6c80d82cdcafa0286cc1f44067d3e60767c8082409217a44f53c2d4fc638def6b4dbd9831d7905c31644a98e6b8d12d34ce05edc753f545089f21cdecd0d6ccbe8c3c53ffa5914e925e515bb78632b33a365c1e1971fe6c7
+GCD = 4e45533244ce6acabc034e0eef8865a1b15698caa6befa0e29eca392713e432c197b842e1ce868ea635de4583ee55a178bf64bf4a8f6d20e2331881766d89dcf71b6755f05d4464ea08a122b
+
+A = -1378401e3b2fabf055dc0c9cb24e4ca6c553fc1d36b63ee87721f3817422e75ac5eed34f37ef54306e1d215ee72d9e993aa5c507156bb7448528f13fbf34eb3ac279ae628b74818fe658a32c491c6137d4ef23ed75aab40f9253ee1bf393b927194561445509f88500bbbc75a5f75aa7d8a9f9579489e8dbc782f36cc0ca4d1a880eb2c01f4677a48c7c312dae8d9466dadceee4d210b0
+B = -4f77cd1d352d466b4a584175665db1f88c7b6e4750b05a493d0c48a9f977c1cf7a688c4f1831035fd0094d5831405dc1191ce1a2070e0c7d32389c31600b5ab71d78b36bc8329c65e98b629ca5de94980d3b500e0d1e5df9408960c6fe66959401525855af7f5982586aafda276587ae2c989fede042bdf8ad63372ea6ec90997e5f9fd3be21ebd63ed54e75a15dfaeddd16f5503e4ada
+GCD = 182b0d9801f4df448a5d1ee4e21954ebd6efbb7af504a327b416708efa797f22da2e6aee968d8716c1e7b8b4e7b5a937b75067879465d4ada037abca5f4de946a182a9ea57b438283b032466
+
+A = 2a6de8673908af397b7d9ee18d2657b119401df64cf6b20fdec65d6a963b47dabd459704dc1660f62f9f55abff64d9a6866f3ead71f9ade3c6a4109af320c5a3bc3eb67f48594369a598483bcc96d458300f01d5973c90e153c5e66fe372a8ff998084833f30b65b866c459d55343f15c61d1cbb1edd620df04160c37695b863c70d6ce2b2ebb94fa609d0ac43dd8ec2cd02782d43a7000
+B = 27bf09741dc53651b8e5fed688b6c872c976c65bc4b485323261223a7a857f644b355ea1837f3b35cfd10165d33934a0bf73b494db1ced697dd621df4c102fc9251632e586a0984ac3d7f60f9c64885fb400f030ee14bb1d15313f0f07377f65da65d26c63cb30615f761e8582bed3610a7802020ce9006611c7ee9e046aedd047759e308d03bc652c7ae0afba38cca0b3e8fa555b0c000
+GCD = fa9bf4d083cf83140e24ef8923add5e79a1a0deb33cab3120397ae16084f2e037f7e614ba0d966ee7a55b108b56d0f000da4c447999d3832b1484d6b946d7f75f7176405dec9bdfe6a95d000
+
+A = 181f907f9b5c90860b5ca2aca89c3144107b4aeae174e52a7491e4da7be7eb786ce360236d9aab3dbfa1e8fa76719c405b2a0c4686d85639438a5c8e12f61770e99ca065e51f203ba6d640caa7547947d3cc08d98a8d589878e5e52396162c286315e32a7b6be5ca5a86693a9dcf7a2236149651fe30b19b6afa1208f93e2a9a0924c97a2e394d028e6cc94c6b94d83064b2352708787a90
+B = 2d1fd9677f05a05cc8e7ce0bb7a4763c90f00eaaa3a3e34aa9cdc5cb62c8f204b59bc96fd11dfe27736be47dc5dc337554ff8a2d8ac5685f8290c2d3364bf4a4a2c0533a945ed9dc84a656aa24dc984e578104008359d2eb372ce648d35c99aa7059e13251739ce26aee0c01a5852c5efb0d0108e2b31cfd41a80c91a51896cbb3dbf991f6930ace351370f9231733a777eaf2e73cde77c
+GCD = c71b0de446cebc51864abfe48a9383a59705afbbe922ef55b979f80b2744712a70086e61912e603fbc753cdcd8669c7d2ebf0a805a3c39d530afc53f6003a86af968e50869079a0674a59f34
+
+A = 4bddc13f12794628afaa4510c5dddd49370bf3386a087ad82a91d363a6f22979e5f6b56af4d97e3a9c2afac10e40012876d69cebfcb8686832a2df1a21f9b683911ace07dbb66e76ba81341ef1746ab37c2b5a24f4c65df6839f44917baba094bd7772c562506409b71c77476b40f694bcca2e504b1d9ec360f027cc75d1105ef09f06ac3bee1ce963c197cea5e0c2512c76c37d080b7b4
+B = 8a5d482387c2cf7ac99545b29bf69ac65c51b7a41282cad18c4a9267ff3dc2d4cef107e888520e3bc6901c5fa48ed80e21707700cb7680baba8b221b2f786030f7fd33f1951978d73a61f9581656b4e28a02b5ab860310f7c33a9ce349cc5a7fb625b471a650ea2ae41537834f1ac1c2350dcfe428cc116dec090477cf572ca0a0b2aa7646da2abddb81b39e5ea94e6da6a8a834ca90c70
+GCD = 104ee6f1f164d6da363504e3d5d605f810a9b233ed591b3f30e9404cd85438fd3cebb92ee5a7ac97cfbae13acadeff18e8b3f48368717d72ea61cf18c0ae46124de932b3747cc6a32cbb0e434
+
+A = d4ca76de4834f462c57f667bc824ed872cd8a8ddd1959abfa6cd9e6d09bd7f8fc7be2d904698a41966d88ec4af40e61c7bb01ef4b6175140dcfb496070da5dc2c095ff0a9f980a34dbf0bdbf8f715de485e9e113c63e9605d734a065498b0d8c3d11c2f23fa641853047ff70c2be27cec16b67823c96606121b6729262237fdf3acf9e7adb84d1e76956968038f6d618bfd305870aecf928
+B = -5595d52d73e3385840028bdb222b44f30555f659af124179a0066b9e57bcbbdca312378796c32bfd551e44074f5b4b0c36d1205b97141c6353c767d97a0dcfaa5b57c0c11c3a0b21dbe71bd450894723a05310606652ea2d36ada212b2506410cf7c112b8478284b9cf7afd0a23093d7ad05f75ecc0b515b39cae5560d82edbfdab9164c7865bc4554bdf503a7839aba35e59ba1bfd19d8
+GCD = 5c04e7d16f92ac1cb8729bda7f54fb0fae00266958bcdf06ec58b9f4e210880caa8e12dabd3314dbfb3f258aa4c365fb16e12bf1f60a6f05ebb17efa56ba61d7e7d089b290b745a1500aa7d48
+
+A = 2cc15862ae6fd26fd639a7ff6e6f682e1f22524a2073987f5913ffa301b9b6cacc695ca794d946b8279bf3c59bf42e6549b011619e2ee424c477dc2f26b9c59ec822294ee57bce82dbf2cbd696bf297a2f376fdf7aba92beba192a6ce1daf1bb0cb23b656f85273f7bab908eb9f199c1300a21e404fdb69f29bdea40b1d6c64359f30dce71e6cd5435c2da3b8723722a05839e520fdb3d8ac
+B = 270842d84163eb67aaf9eb7ae0b066af3c0660e9e03f9794524900fdd89a336a250a53a7ec83b7d7d2ece779c79febf180e59d744f1b396e7f3657ba7708a1d45a9bc4b21b2d8710a036bb8184a440d4288971f90b631f581c0c90b8739d0bf012642e3b048b9019933fc6c216bb21b8ced9a99ac52bd628f38a0d726fe18516452de6f059582b18365b4ee2ecc5a4bfbe16b8a10213f5810
+GCD = 21f1190be258738083ae42209230e2bd95794317d31990b0825b2c32514a1576abd806b1fe7e5c4690288b7105c6b7f36d192dcd00cc9409822ff8ed6b22b44cd0a1de1fe30de61e4062d0444
+
+A = 5e6f002436329160d3c78ed38b7a1d9dce7cd0bb6550c22ccc3c2ccff68e86b9c2aff78a8fc3ec5c1689afaabbb28321d2c3add4ae5b297bfb42c3b0db18a60526790245983de55781cab420f00bd43d725dd2acfa21f524eda475a8de83e6ce941a1a2242f87887ad7486e72f7f0fcf550dfb9e6776e392de2709712f21ce126486dd123611f0c9d7b6195b7190404c4c0316e5055262f40
+B = 324698b30e6a333ec6e3adb2db883677cc51a593215efc54e98ae142de38572845167c0e4671bf2b397144f2abe6980087bd1c38133157eab312ba9cba7356932fff04f9c4ad05bdc33eec314ca5f502b1234c028a60dad9bfbaa1fc67ca712a1dab8439bfb6203cbcac2e04a3d935d1ce441048d8e927615684261463625078e686aa1bd89dcd1f50810f59ca5e933cd82a4498ff7b250ee
+GCD = 62084be150aa6dcd96fc7f80e8dcd45dcffb9aa2eef16830e4517b36fc98d416e5bd23eae779befd433cabebde0e0d8106387fad9ceb1e7abed5e220de921c62eddb3b5e776f754c31851349a
+
+A = -38d468abc5cb92fabfb0ea82d1885ee1e092cbad90d00a9fe84e8c03430bfeec2722e3a576460419c75169fa47d5ee9ea4d67f8ef3180aa16a8a3eb324f987ea099a9764cfe1d6bb1588e8b58b5e5be3244fe1d5afe2c1f97892c071dff5264cb29938989943f08bc8b9628353db6e41d25cdf04abf63e35f45c116a603ea71e191eba975dd48f69d530e40b91bc48cb3c8221a8ea1b431d14
+B = 101dc13f64746a4895e5d68b8ac38078c2f7fb395a2c46caa7256e610d4c1aba97b2ec2684b0bb0f136baf6da3fe98957c93c8ccbbb27a8a586cf552e895d876b37a5fa8bff7836938b728ba21c60bb24d4787c1a65d4e540ea7f9d1a0a3c87a630fd93c0c44c9dc7aac51c5689eb0462597d09ab341373e8185aeb3ac06e12f998291e7bb0c8278dc3e2f1e91d3e1c0b9ad8ef90bd1aff120
+GCD = 1d4076713ef69e00ba5890ac92add6d5652f3e986e30d2e638b6797b64d66923fbeeaac4a015441f2aa03168528bf42022d09cedf24d7cce88640fcfbc49c19d1d42bd0b195de17d6459be45c4
+
+A = e04abb8fcfe198b85e66eaf1efc0453bb2b4cb594f950a20fe935521f0d423c3b4214c394ce0b1abea152e3c0af0038262fd86b98fde9a4084acffab4f5bd3a5c40d4e8b11b8bda6a427b06cbc8b56122d790247d2da75eb682e3c21dba3dc82344245404866a9017d999290c4abd363474f910021ed61fbe1a650ff219ba6de899394da00d77275216953e59583711526d0a1edc1580ebcd8
+B = 17c48f300e5d74c4b32d5e8abeec6807ab18634ea6524268f653d05a66b9bfc3bae9b2f8a70b778e19cb7bec7304ec357438ead766d6864f89f773cebe9977e42e2ea1ca31124dea5ea9333df48411111714c053c3fc1cc683c51366208df5e7e67e5d917d72dc5b6180a0c2e48f340398ee4091a7612093f8d1e81632e44e1927bc56f823cdca13a22c6f1592038f94c85742b94e22dc2b3f8
+GCD = 7e122720ee9649ca530f8583268e6eb3bb111cddc202a223d552dad06b52a44941bd081f0dd451c840a9ac985fe315f7fbe5f35deae91643f3ae0c27a4e9fd85b0255e13ee1902d6c650981388
+
+A = 42dba7ce0ce53ad8f1eabd7f4b5cecb9a0fb0982326c04143322c19df057eaeb71f4ec7b7fff6e5ab596627e12f6f9fb8da032d12247a928df23b0446b5eda4c89726139c39267b38bae04a56106d0717c5fc43f08676f63aa50e7ca1a84c087c3799a5bf70815b0f04ef2ee038edca689609b78e775bc018ffc090713a2769574b3c5c2dd2b6a52d10d652fdf9f719be0d384d4cc7f4dd54e9
+B = 4bbc94e2a4de9ba761e5dacd1c904d02525934308bbde7bc15745e842b8cf3c008a340a776c407e9143a8e0dce946feed07f0d3fbe91537f1f252d094b1d0071dfa556a5d1fef7fd96d579963eaaada916e30468a2b57069272b6d4ad14000a3fc265362eaa332b28a522200bb99c280329ca0b76fb01f9d34cfa471e7939b1cb534045b7fee18102d0ebc06fb8602c95064f9e76ab3b80f488
+GCD = 2aef8299940daa9285daa3a775b9a11644629d1648fea38e63c939c142d97f04e3c1768cb2d3b9d4efbc7dd3636704bb10395484596d7c5d9f663524581a2bd253d1684d3bbbf6c330419e7d65
+
+A = 4af4fb09cc55aaa8f20b2f80b263a2e41973c360d0e16edd85de66fd33f27c6be21dd6600cc2b9a1a8c32f74b819aeff423b25cf0aca7060a2f7a6018aada7173f78dfd9d908247795c0560e8b4ffba8a309a5b70707bd261a283914264e7daae944f42e4aa733110293fd082a28cae7088ceab7a7a1147dc58602fb6069fbfdf35b9448e86631a94a6d2418e9c016a9082e5a66b9bd2a4d60
+B = 119b492a5e891d4f5bae2e884a69b29eaaceb1d13a4501bf4a1467810027b5903ed34af1b97e8919105cd572ea31b23a63c53b78d2b610cac62b5e9f426e8bcc6c8cb8b9a59e37a0e4b73d7291a73ac1783785496cdbd670c921beff37cc80fbb1a789eab887cf1639a49bce337514f0ae832cdbc143db6141ffc883e6a021f6f8a6303d8deaf3f61a01a9524ee1e55ce595bc5a482f5f56ca20
+GCD = c2210fa02ad93ad54170efccb9fa90b0ede9c1037bc3f15384c1a8f640acefac6b37b17e81f907d4e86cd136fdebc7d2726a5714bf6a9150967e3bcf7ea5f5041b21bb6838a7371d771d715b20
+
+A = 2007a605868586e0628c98583416ee2780b508f472e099fdac69e02fb778726f23dac8bd27afa7327cd503bf0d29dffb9b12582e3b2748fb202f54e25c0f7cf1a1034f4915a6d095c305796ba3e496a9b90054bc6f96def3fb18c87f9b35de12dac3beaa4adab6b4665989e492130f7fd58629cc779eb0b9ce96a776dc2c0aeafd8dfc802b771271d0d0725bb01f6b752f71d81d9a58733127d2
+B = 396bea1845cc6ec5d087bb0e4d9a6068e9066907bd612069edd38818327d34f7a1380d12edcb2a1bd4d58e9c3d010c925ecec2853f2e2525bcca3f107825676079c1628e1ad085e02347d425eb5e986db85d96eef0d5d643e11c41cf6d8c98935d79d6e335806c72b71bbe4a8c2caaaabbf99234e99e565c457e187a6dde3ad4530b0ba53c289add844e343fb682c3c620ede6daeb43afc76eba
+GCD = 908e2b8bfd1de4b4e26c71d46a59a07023e5b971145f09f8d7b522015613198e79e266b72b66889f205b69306ef0845c0f907f1faaf65fc5a2c942fbe1eaa6a95dbd2f95efccd272716311b99a
+
+A = adbf3586aeead2fca9371978c02969645e316f7e337b34a6a3ffbe50ddeb4ef62b2ad59e5a49451783c4b20d7d6d60372064b161b20afa3ab5b5d7bf074636379a2895455b8c80153be5c4856bdd1b99dc1462e93e447524b55d561219219410a00ebcbbaba8ea0dde9e480ceacfa09495bbbaa5207e9155313e7467eea3b5279dea6b91a53a78e87f18d5a59c054dc5f254c9d113842eebf85a
+B = -14d5d48264f1c8f2c5856dc4e597235009c15342522107995b618075861beb4fff65487ab60062d920bff8e678863d94e2755b652032868ca7e49ce95877099743c6bb27cd58b45d6f7098b54dc6a6d7bd1e390eb70d175072ed26858159a2cdcd0de1f62385c6673f53373a17641b975972bb4bbabf559f9a01e167c8f59a0b0d30ba7f2db8e577d05a5a5bbd34d0d84d647aeb78b9148e62d8d
+GCD = 1bc4aec0fe4a6625537015b56df9600b4aedb8e1151099af509dbc567a9bb0e77e202ce85792d5ac7e842110db298836b29552f0e978bfc945b985b72e9361b84de56eef4df5268922af94b95c5
+
+A = 58646c8fe8870c50c2916071259f12d455b9ac5cdaf218aa6c527180531f42556bd2278bbb8c420e064adabab1544485fd4d385beffcb4d66eea27117747716cb8a21ca1a71b6e3ad8d3440549321e65d636ee896e16f26bf352de3af92709c8265b5ad791bf04c23d50ea253be6c586b7ac4583513945b33dfec760257aad9bc6a9293ccd03f7ca4d0857938eab506870feba7c41afa50a30a10
+B = -139e1b1a7f920d6a162865f09f8769a129bed9a60a042f0d3fa2423d4761be65c7556ebe9ee844a04917b80fe8af71b92e0e2956bd9241aea2c71c55b6c6c65439577a66040b3137d62477fe360b93f5ac4bf7495030ab05319a452922fe86a661cab36c96e4867b81430fed04dd3cebaa735280b305726a98e631e780571cb3d61ebb243981b9e21b22d6315b1db30a97e66336670eee2c03d40
+GCD = 175942db2db2901f6d6a3f25e461098563b4366815e469ff6bff97ee511d08565eecd5c411044e26f9850be65aedba6419a4578925c674cc80cf7f6b5520569af364b82106cc2c0e42c9fe4ef4b0
+
+A = -32870601aa13a49fe9e6d91f69a3060795c3380aa892d2457241a4a09a4d6355bfa177ac9a32a4a03526f6fc1c1ae3227c5d8829e7b2e651d50c6b59bb30641a24bd7c25d84e51b4ed3ea4582807cb18dc8dc6a16f24aa990f0997192a367bedc3f404b2713ec5909fb4a7130d1684009130dc2c55b5086c268eae279fef7f72b0ade8755fa937a03771ea2c86b5802d848c1c4749d5c71b9b124
+B = -b9c5a1ef1409f8e9fe224346a6e249b905464b9a00c4870640992a6752a73169a9aa04b356084a7ff086c7352d441b08c9cbf07091913049f65011d1570915e8b9d18db204512a81a6b8f831864e928ded462c12bfb24f1ae482fec0286f4b0a292b62c9888110d82bab37bd405024d25db4fdb80ef02927fc7b6e8653a7af7f081e1a52d4a5843215faa62011db167e5e4463fc74569791a7b60
+GCD = 76d6d56e7f6da82573a9a269e01bb82ec405ad92da07c108de24e9aed8d476dc1be3d612c4a5acdd8b2e9f757b1403c3add69804b482bf7003e5d5bb7948478d8fc2ea97bfdbf4b99dff4242b6c
+
+A = 31c888e7a03340107798150093cda9d0699fcf04a28fecbde5ed2aff96b6777fdabc6124bd61d508098fabd814884e4202ee432296fbeeaffc84025d2147340ae57bad12e5daaa80f7c003806c0bdad595716d9c97fb177400e9ff9e12d66f1853db836b400612f713da67b69ec1ec0329afaddd67b8843addb9840b2bc4e6bc033d76d5ed80000cd7d14f2863d46cd722c2534b656ea8f9c964ee
+B = -3ed3dfdf2c2c4c9e02149655361c99927b53f33a3fe57f7269252d7b0a593c70c3a49abd7936b07234d281986ada0e92c9a988acb784c178dbb1f991cf24df4336cb16b17e3c8bfe5602d343875d0abe880e09b41292e9c447694dc4f31cccdf337145b05ad79ec7803ad372170e8de8ded9119270fa821129bd39b81bb498ea97cc292748b41d0433693b67349eb9ff1e961ab6fda548365624e6
+GCD = a3472a57ac5873609dd19d90be1918fea56ca9bac89b4a877e27a638eac6d5374b1d4dfab9f6a7af2a6edf3df57d16d019ffb145a55e0d93072ebcf3c3a6eefacf1f99a80868c06057b88119d66
+
+A = f5f7be2dbf17f5c1899f5e71f8c99882d3a743915b0929bc2ceeadfe9584eab5a3e5daeaf743fbfb01d412807cf88d3d664da81fbf2b39dd7b94e3d2bd3ab7b5afcc84221c10f9c4145835dd97099bcbff1d750acab9fd55bbdcb6643458af5132a3ba2ecb24b795b18735eab9ec6295c9a50d466aa7be0b09e2033f9ebd852571c1a7133bc48f79e4254f7f0b3b5e6cc14ad05f0805f74ce75696
+B = -5c70585ccb8d7e52a49befe55db178b302bb3ed1192d5a5ba564fabbf314f146ba99eb57878e249647f6ee0a1651867f5eb550be61acd7f20d0a4132871096ad3f4aaea827e4c253ab7d1bb4f3628d573b0b88e7fc34c1f55dca88df7142d3e740411b9fc94d9265b443d04b61c5d6664fd2facc9abf7fa59bc5c81576596f650ab621236bf421b29d2c330392f76f480929163f52f3a81437e3ec
+GCD = 1ff3367d3611b5b629da7c151340a062e89bc289cdb062dec002c43ee413dbd313e6344611c9bb5f1294b08ea985f146c501ac654f08766b1661721df38f63ebce1b66415a3a4ee2c32b703b5862
+
+A = -564ef0b63ce0f4b0a0d8169f64f6662fa8593f698f074ee53f11970ba767f82edf7dabde47c59d48c1e44ab44fbd8f22cc0f6c17f8362bc7beb7990cdb65cd5532389f2a337abab0fe16cc9cf38a4c963ea4d7c2f8e3c40d77b1857c7200fdc08fc6cd415cf6a9fead16ee58ab796f600c3367cfa4e7141b8c9d5c1268cf843a8e96d12641c539ab6c8a7060328dc55090cf7c1bfa73c315143513c
+B = -1b870ea98e7355f81a39d3da1bc5b15fd2ea73e51c94e36a2e457950d229d08b7ca380932e994122625274cb55e992adbf3dba66ff92818eff0b200386d64f2fa27f1e479a9660f8fdeee93d03c43c01f8e7c4d6c343226804d9d36052514cb501960470d98da10569b9221bd8aeb288a8b8fbc27d924da1c20d93ed8049b0e8b01e8d6576bb27d27c81b0fa512a6a2f68b2d96ba7b0e2de6738600
+GCD = 117d942ae2eba96555d67c185a5b9b174085634e8e21684100d096d4a3c8055c3cb717af8071aa072e578ebacf01e9485a94e9ae238e99add64af951635c3d4f70e477a9f16959b21d85cd87e071c
+
+A = 15226b1e2ce794a66ee5a6ead3624fadb25798d01bc5eb02154384ca9f6f94ab6a8826d130ac59e900c9667d538881e0af6fe4ec75ad786c95938bd90677bde58fb9e2387fe80119f179d439c4890ac2b979c19a8bde2adeb3c752055153dd6ebc6e35258376999897b602bba79eca73de68df9707cddc476852bc114fcfbe25da67af1ba285dc0868bd8377348804b094efa627902425af91550f84
+B = -12fa7c984c929aafd893b6006847469e7dcd4cd53e63afad236bbbee60e2910a20ebdba5f139402b7b943aa8945a09d1bd7b8671e327ba5f4afa51c7b77e2132ea71f99cf65856ba72bafe2c0336c0268010e403d3ba36812806fddacd8929fd384b0baa2ee54127eee864b9021f871d5f4f69ac64b6050f376a6bbd54f35bf60a0215530b929848226c25a05d771eb7bcea33adaffb9dee157be24c
+GCD = 552bbbd7c9a970bbb60714f3d89e3153a5544b549d3a3998c17ea7ed4bd8c30eaf2cb58e3d7001cab3e2b4d64b2e3172288a41ba2b0f5e29592b150847f30b50e2eed111c8ddee2a3e1a5511aca4
+
+A = 6533b1d8348bbc3a9890000d368a0291d4e5863837f3485e789b6a6eaaf3cfcb9695ebcaec55553ba472fcc971113632995b77f854cdd188d8eb2af4681a6d4b71ce35b6cafa3ed2170a7cd9a7dd1c5d4d8f67bd2a046cae65788c43e88f966fda91456e21bf71cc316f7ed795dff82c2d4cf389ba2aa0a1370b2401aa607bfa3d0bc77faa2cb45d127fa0c383d6a128166fc344133403b2c7f8059
+B = 496047bd81c7b12f0f86d6266e5eede5f83220fecd13a29ee806cfd1fbfa29a52cb11d60cb388702ab553926945804480e328113d26760b0482e270900a60211a30d226cdabdd318f9ee55bb4fb453e1327ae0eda6299a9928283d3b81da7c05009eb505c46db402e26ada63b087f5d67adf3242c35a2732e65442ad9211d951fc20cd52fab744592cdadce6faf2f28a52a0e236c2eb29980535eef
+GCD = 814b1ee9ca215e0b7679f0fa034ed7444ffff2237ed4da9c119fa76d80671321d569dcca9d45016d6e1c2bc9e11891a31302dfa7d1636273a5a430d7b1b5e2afae809e748d21cfb5ddb6ddfd987b
+
+A = -f78f107e9004947af3904589e7eccda7fdc1e3824307f8c5caf18d729f53fd932db5c380cdf955eb862f9c03124f28851dfdcef4ee2b0a3b6e7357f2ae526a8c78d8de6e8a32adbfb1667dd8bbeeb6084518bc84549c2e2829f3ebb8e097735f4819781bf734b6808ca21c301212d234f2aa250300be247488bb78af837ab64336252178c7183fc4cb14a3bbb65b48bb50d93f4a4ea96d572e891e5e
+B = -b8e6fb094656fdfa338806359a89cb8db9dcaf7ea61cfc9291c1e80171e0df00a1c4948950dcf38d15dfc3e4a5603ec3f47d4a2769f00ae5a290cc98bd73a4099eedee6966690825ba4527a283fa064f4a25d5e13c837e9938c059aaa7af4aea800706e02d43d80dbced7e96a223380c8fe72a5c96b7dc481b5b5c5e01746cc95b18826cc2bcdadcc6035a81413d27276e4f165cf1ed8a87004654e4
+GCD = 106190d22407519b89825cce5030c302a685aac4c03c6ce7a1039b9c5f3efd6d69e69539c1f5adbba35686aed52c3e46669949329bc048f0b732d6d70897b1a2b5b3db9e289610479d2e4ffabf456
+
+A = -18a84b2b1123be65b079aed11e50ccfbdc591224f585bee3f78943bd69c2a807bda189c1dced3cda5425a747e682811c5953eeda5633cba1dccc4f98884d3632ede89df1a3fcfccd13af3b9753d5f742ea3986ce7832906954a19af13e3014909a5f7e4baa9793c51775527c0505c31fb62eef5c118bd17f3736c16142bf25356639399a66a5cbdfe7998c53892f10b6480bc5586bce2982d408f5be2
+B = -2d00c4756a7f3c8f5226f157c5815ffa979924612cb789af5cd3afb0a84ad25ddc9ce6026e23e45d9f78bdd0420d0a5c7028088158d0d786a15e8e1c4ed5d27b527703670a5b2bb36f2b5d160295e9d52dfecc263c8a05cd66760b5fcd11681d64f7851d4883d8356c109dd271a86a91682033ecc2311495278dbea9380f14b1f7436ceb594c563445fb2e9a69bd79b37f932cc7b9d6ba388c9a0269a
+GCD = 6830ca16f9c00ab398116345f665fecd3aeaeac6cc773905518928be45dc98054a04e081cf03eea002113a872922048f0b27907949f7e14da3c59c22d9794b1a993456bc8d2c9c74a0392a0cbe012
+
+A = -1a385c9a54caa898b408d8c8762e43ca11681a52f73d90ad59e81c8f99e2335452a92c153a9cd7c1b48f139b16a728df3c4f51c0d2217613eb235944b08b421880d042f5ff916189e5e308a7c3566d6ea4cc1662fd2d7251afc9427b44e51c3969f4eb5b57cb770d13bffa7bb6f44b5c57e39be1a79873536035b7fe6e9e14602044df959f349c75e7cc1f24225c7bfc6b6a42dbaca0ffc0899190410c
+B = e0687e1255a3d28491a7a5c39f8fd74e04f0c183d43c5daae60ac6d8d6616a30c8ec984fbcdfdd5a3b7edae6ac0ae61a08d14992f11a5755ff69e6ef529531fd5148a6bfd696bd18e8b03b86a412af3596c87987b1f7c6e0c0a3373817a788f2676b6f14cdcd1cd9bd13eac049de3e4ebc512cd94a2f4fde208dc3ec099b819ce2835903c22ff20338fa702a162f6fa3c5ea92d472ae91cd411f90500
+GCD = fc31b2635d9377d8d8e68ca2800298eb84cf66ddf1eba1b402b31f98174b83fbfb62753954d065dfb73b5fec077366fe64e54eec9bb0592eb090da222f8ffbeb8aba20cbd7247ec4ac4ead112166c
+
+A = 2ba6e23083f93313fa20fb17931bcc471817493df912d1cb196c2ea6773130043aa3183884d77e2c68b8f2b49bc895664c1fe8bda5fd3255488c5d4d06cb93f77661abf7e38ba4463b5d1936ac9e814ccde6a6ecca1b96c701aa1fe968f1b34b03841e68df3914397618f4af3b847fd10e974da477e3c541530310f70aac0bc484fc7d344ba7a3db729554908c1af61f2e6b0f3c1d73f3469a135e3376
+B = -1ffcde75881f30657031b1b19e72c3b5c167613547bf4ce805642dccd484f9bbde59469089a02f30eb3f705d3672751bbc3ae5cd1bcc604a142702db8bd5021074add58895ce9fa175db991b6080a98706c2e14ea6d8ae686a92d499255074e0f7b6ac1a35842fd01bf5b070c952b0eb2814adb34db1a7ef325a55f578f4a6967ebcc5dcc384e3125fd4c88fd8ef6bcdc0a12550b622a04de1adbda405
+GCD = 9ac73b7e17d78a0b0c749c96889c366e785b706e42f5a5c62cf26cdd1ef210c35dc80b93e786b81af1db0b3e1e804faf3db469d01f833c1ddfed0c30b67cd70a9a5ce3ad37d4c6f0e1e4fa21a8f5b
+
+A = -119a611a08e0b1d47b8e271865e3c517ff3b15243a76095cf4ecdf906f439e31e5f00657e4b397eef894f29794bdfe099dbc3fe99d9382d75da63334e0090968aede9422af5dcab38ce8054307549cb6fac65ece319c98e0b432159b0229ba7bce8881e91c00724f19dda2d445501c61b07a6f1096582ca017a4473407ded4700b3e09b5e9c5da72de0b19722feb9e2acaed8d8e209918c5d4f591d4ac
+B = 10172318b15c5d9b2e316bf59b23e3c05ef61d2e1c7e94fbec025cc980f6b079c7e54957e58cc498308fd0fcae482e160f319e7420e6a61500ac17919090ca9c86c83068e2fae9cef4a75fcba65db41b69d09b4c7e35c289e9e66a437473f8594553e7e30cb8e9954e26b9dddfc825383e25af0828596d6271632ccae0527b6f743622855c1927fd586b3f295277a88d2d9c5a7db79f5fd916d759cee0
+GCD = a5b0279f6fb918a460636931ea895d469d343de2be28bf387cd6049ef18db62326ee08c629bcb4b5becab054bb77468443720068c6205ca74ad7dbc75596f4c7e0cf0e13592ae50af0ce70640306e4
+
+A = -1c229c1841b818383929a227d4a46aa7f0e8d384000edd9549f7d5bf9a4b768f26d7a60c84caaa4576dbe70592fa48bb6ca265b4a96f2642faf0a74df18886098eacbd1729a34398321141f1576a779b8cb4917ac827ac924d1792c6db76d2950706e2adab452daf232dcf399007a3ee82c86ea8d3a25a9bb32acb0d869f7a68769de0682b971d60b3d3f97980d4632c88a1df25603802f275f0301f38
+B = -2d0daf7ffed556790fa62b984ffe0403732044a172d8ab866211d58d45fd8f358bf5882bf7efccf4b255678d6daeb4538c7953a52045ff2c4050648d4e4d31100124520d04b848af1569b7589ebfdf24a4a9a07011e70f5c804bfea1a01dcfcfb48e73842e9a5d71ad2f30f3a618206eaf3e73a53c311dcf39216621c2b3b2a0ec0a53218431f668459022ff0219c0a25429d38e954f9053120450e2e68
+GCD = 2ae2053b6d15976d4415c92c71a407d0a4568527bdc1eee72e047436c9ec1831c2a32aa73727f8542287b37096ee87b9e20e3a489fc6a02f07ca812e1ae291349fcded3864bf76f82d767833ffab78
+
+A = -11512883cfada5054c4c3c9ff16c6e9f31dc7368f291910fa71117e65d890f8b5531380f5ce7a68d45cc7cda4e73406197cba44c22af3cc01fbec474d4077ac123e9337ca996488e101eba0cf2e5d7cc22be36f7f34029db1482ec63e2276d8bea80c071621481321dddd118c90b98710877000e77b42597e56cd8a13e4bac9a00a396490333d2394c4cf4f779fe08e33645b4b5b9774741048ab4ba9343
+B = cf4728f3249bbefc7ca89614b0ed2b4f699973ff6384190e51866f68aa28ce89bdef7e5514bbcefab17cb3afafdcfbd666479fad44dbce428810f276c96ff741bbdcfec285dc9a1b40e0573d7cf0c04918c1e1760b0703e67c96bdfb23b94cf39dea1a707d9246602df75fc3db49eca0cabaf2a7016dcfda4f940ebf55bd1009c56fe6b49f73797165080eb859f962df9598ddcac381d99afd7919f5180
+GCD = 6b98e6b66b8948d5547aa8a5d7eb202011f17693339beb17154e7afa2be42034d450000a128401a061cedec95484bfa5eb27a1c1c018294808c54662a1c7e45e4ddf8b173b5a2f76ca371891b55de1
+
+A = -39658d70403668d8996b0cb6aaea6289c5a546076c550c306fa0c9e413b26c4c0c54669d4a189141844991a5ddb1786735ce08c56ce5da2bfe295a7e4a96fa0a5042e873a26f19c7c3c4aa3c1226d6da64e2d479ef62eedead5468337bc62df3b55dee45050f16517473494ff20d3aff1bcc73a04372e65d12a5e4f93b5c0810cd19bd717643e5f575300db41070faa92b3492cd72d8d2adfcce5fd99800
+B = 37e41a141858200a5e2e23a8867a74255f259970fc4dc07b95489e98a2834de461852949856a26157911210ab1c6fceda182b94f748db3fad17d4a3c6db79f18ae0bc2709d295fe5d6c5164a7df4556fc6c6e96aaedf497fb157b1824f684901dbcf756f954ebb8e9eafb054e3c0ffa098b050c64548e848e491140bd0af9c600cdd3c4a8587a47c64d520a5ada6da8d56735539038cecb116f40c53d520
+GCD = 8f47724f680f3546964521df9da187ab638caeafa53e676b0d36927ae202c1cd021565900484661d55e7efc93cdb6c966b8e42b32f98cec9d019c6f98cdc7e0aaf7bfdb6f7af53a924a5865026e75e0
+
+A = 12af2dabd799d5f77a8c1af5a61796f19b721485c460a9411d91c03a2b41a64a181ec8a192258e808979f2101f214979c04c3dd2c32185fad5fe7503e50216bbd38c22a7252bed4fce99f264a3ab15f156d4718d26f1df3c2f799f091b911b3baa1941b5453ebd247f4a978235371e5c4782468e845279766d4790b08f3cfb0e04ac7fa9e99028adaea86d2aa4fed8d46f9f004be58b74b181bb9b781e3e0
+B = -21c68056fce2b70a4915e4d52145448cba5ee900646847568024eb0777c83c26b868ce6005a4f1b04889d45ce4694269d13ee36d6d7195807f4a3edc6101b6ceeff71f632d1381ef3ecfb9ea76392439ec45939ed95ea9a66a2d03540b02766a3ffd0312477736e058dc9338c57416eb1cdd44cafe9a4db9a51143690f1bb7b04da5bee0f6e778c15679988c73ffba077c7d0de0257e2b651a5670fcac79
+GCD = 1c3f412419d522ddec1a02b4e659e31f81c83e366bf18cd7915636d2058e5fcef96a9df015981da7e9dc0d00c3ad20ee8a0ab0eccd4e7bab5b49c3b09ebce921c186aa10a69100722cf794b56963431
+
+A = -3fc5a116192dfb88d643f29414952b6d9da348b052154293f831a6c315183327cb8b501d91a021c339a9f6f888682b371db3d787c07e7c101262865827cd26634c2f4ac503aa590c7cf3123a075cfa123eaf57b359cf5006b3b962b3722bcdd323f82276f40baf9f16bb437ba14c424c7f7c940e6df6c245d790cbdacdc37406e2403bc7d4a39adaa46ec0d543c39b0963d2686d2b6ac4104068b8a8a3a58
+B = -a977335dd8ab37fddb331d34db09a447172cc52a5b91aa7b3393c1ff6c7b3f7e3fffb87fec7b8af6928c30b40e477f499bd199da2662176b8e7fc98317d7c7a7324e6032cf95f93b6fb2faccf2f36a4cf417b1e4f31ec2f6c9a1bf4d88fb24713113c854c5886d6c9b296fe8553b1791f9185be29a3ee834d3f0709fcfcd3f25496371d8723935528888e9f3a3d993d1def5b659efb77bac94b1c8a1af38
+GCD = 5c1b73d28eefa4966fb89291f85c257acc33b1d618ee8173df5027817f27f67b792d1de371f635060e1c66a4b12298bc32b27dac176054790a57920510195d75eeca905d7b630b8d4656a20c22c4158
+
+A = -78e763d5a089a7d6568b2efaa0d76bfd03fa98f910a5f870c0f9211cf1d97118cc2cb414a1a75b7eaded20b90776c2240e633938e349976f6ef5bb101d3b88d6f890de73fcd9a145efe3dc778446715f6a66f13d52b61f1259fc1bf8f73d6116d6f92fc91df5fc4ded5102e527d8fa4a7e926de954385084d46a5e94c81620e0ed65e47877595072e11ce2fa737abaafc63aaaa2a639dd08c450a4eb2610a
+B = -18f77f869661a2beb37d54bd8cef3a2493bbc89891dac3f6ccf269e1b54a5c23f20a45ff51b1b3b9cbe77027c22c46e715ea42901b8ba7b118c4ac3291691c95ab2c65b1f052e69df83003908da3b152732baef38ec50037b37a4f9d9a185e30712b1a4d81e0212f8157c725db0a2e08cba76cde3a4d398899a42fe68344ccfee919a767e9540d390636059f82f31e35c7db1248e358db1a4a4bb5bb6cee03
+GCD = 7e6c34362c5d3af1364d6e295de00b12a97a4a47f8da97f7e2b15ae651a6a0e1044f5c59bde90972ed6b1c2814f2ac6ab5e235c76ebfea52cbe46f700533f9fc59370bdd6ea708ef335d5253b71dc6f
+
+A = -4042cb1f17097d6dad28ca72ffc6438496f96f904b59c61360a21b1953e88dc8c54070ca2d00447974275bc00cb5c4d2d8f97648038e17652faf48058f46ac857ab751af432a75cdd097b1b280e41ddd5dcf09d885aa3b6cee9aaf044384020232a86dcdc87f3a41302eebc1298b6c9fca49b3a84347f6f31895d128eada4e4fbb5db5d744a22716fea3486519bd3504852851d05e1894d7033a85dcab7d80
+B = -d8bbaafb35257ecc29ba4bed2dd5891fa95752c37b1313dfcc24b3935c89b4de7d655fcce01abc26057833bcc5c43b85590add8bef2e4e7b71ab8eee48c6f15b526cf58deb32d25aaa473622c9649602d9311c8ff99ef401f624a9571a29aceeae76dfbfb83567277e75e7faf83916ce7b31e1b60436c17af34829778b5e0ca416190714511d3edbf56ad49ab2cd63629121ddb5a9a0a5b147c9dcc33d62c
+GCD = 5170357aa0defc4b91f507e720d5f2f3e5896da5253fce4ae12a5438e46944153f94978c16a7a0187d09af17cbed1e9c5168bb0ff1cf84f3496c7ca7076a58769e895f23f06b023a6cdb1b56b866269c
+
+A = -d5646f9800faf03bfa0b1f54757523bb30589df5bb062b0deef17d27dcb01c50115ce768b71e8294323c9bcb37c7dd880432fb8e6726178fd2244ca2e9318c16caf087fcc5beb4db6b284d3f3cc956142d235c82a96443e6d443b6c07923d9d7c87d6f08826e5139b4f863f027b35522df3f33491171a8423311e6d034ad90bd5315f20b16d21e360dc3ec1fcc87bff901bc057cad089d7c05dd49e6ec4000
+B = c35abacc3da62b0cc14b539344861bf9c42b4ded0728bce10651e8e4eaad999cd1faa9a7ad9cd34ed8829705279512e959b38fc3acebbdaa5b9b53d3421d092a80f1867d3985b6f98f9ba8efc3224022fb434c0e991aaaed449a3324710dcbaba0e6011dbf5564acb73db323f214e3e8fbe9b3afbb7a9b4f33affc828bdee61398c12ed474f32a8db1eaae025fb3809666f961ad38b8e4a2d3f2fdbf86b980
+GCD = f74651c283e71afba05d1d8457a4cbac720a2fafa7e1a75beefe28b56eeb97776185467c151d241ea4365e364e42faaf73f1c357b13dbb969059888260f2aa925f1c71303bd43d1fae045d69d99dbd80
+
+A = -a71a0de3a7c1e449dffebbb2745ac544ac0c210719fdafbf1ffd7c1aa1dc7ba178f59fc08a7be23fe5c35df07c7acaff53aa6230c76ab5906d3753ce7b670b11e1372b3a4e8b281a56a7566ecd9c53931f9bb09914464d8e5d4a441b9c7d03e1b2c5add77f95a5f9b556aa7f0a5eaa03cb421556f5bd6ab7f7badfe4a16196396456eb75ea9052c6a29af000608911268bdad9640b0aa32ad0df3abaafd894
+B = -ebf7bc338388124422f4cec02b8794e53ed7fa6f959ac0671a65baeacdc56fe41b655123bbc9608482c1a766f21c640d137cc08832e600c5bbca1782336adc95507e3a1cf267de7c2a755acf7e2d094a4f738358a9fe2a9ef7dfe0cd43f89d590fc2e6014dc7b17c742f805c0cfc66b13aa575322fff798723996096334e85fd8919c1d623119f33fc006c2ae57e895a7000509d06e36b823f89dd412f1176
+GCD = 20d8b4168129981402cef4af98101235ad8f71f5faf8dee805b75fcbae17169e22f5def4adc598cdda3c79c560b63e31db627e5cc7e4cf263a51d01bac985bd4deb0633649ddb2775e8d3b0d19084ffe
+
+A = e9f6a346b458499060a642ba815dd6a08864b85b141fea0a3cfc0fbe23a878b361283f0d8cd6306294b77340aee04e84c73fa171e39eb560689146e9080a65f7bb14eaa050c1312ce3bf68948a73e9631ced01ca400e04d75d959b13d794c344c90b265e0858efe3393c600a3183c7164873e585938caa800d96e6383618f4f5808364f190bd1fb33aef0250ece196c0e15ad62f3c20b60162c13d15f98bd0
+B = -1f138f9cc0500601990eed3fccbebb6cc63d4380fd15aef2ea70d42a979d891594ae9223192c90ea23bfeab1e9f4fa04244fa17b0cbfc440947106322c65721760f7af35a47df0fc6687c84a298afea438402b0041bc73f5f5e623ffb7c59bf1a939b64a4753caa8e34d12ad3488a237c271ac6d820df136955d778dedee03855aa751d8f102d8bdd15e78ec482b10c08d14bb7e877952b64ee4c40d150615d
+GCD = 5178e11bc6a653b7471521fba22ae4bc5ba84670e6ba6481a4fdd54e513c4f10ac0fd3086ff5c46da631fc9727e2c3d5a9d7e1c34308aaacaa262b789b57a9e7ee5a5786f02868492a1896538ab0423d
+
+A = -9e1e0d0d509927d91abf4c5b2dc4761ade78e7e04de5a72a8788b205ed23d695e7d3ba64fa99f62311154ccf2132edd680c0781c546c4104aed21d6906f1b9b9a3c6796b4ef777d7e8bd1498934d15445c487c8305cfb879aec7aa028b653a22e09fc6fbde1cccad60af8e1776b495c6cd5decc963d1c9a0735b7e0302627b9b352c772c16138db8bad1fd922fe915c5d3487112e77908acefa5f489cb9188c
+B = 38de5ff6da902f592f03fae32ad918856f07124a3e33200ff78b09b9518a0b304e0c22726d2704126560c8ed40d256d067969efd8926220cee18bb4a33c0893925adc188fc32e6165c2de6acc6c73e5e7944fa375c2b5103e55b5739d5569a2da4702f921852481d21fb2234150e14978f290e44b3fba545d3ed0f60743fed951947acbfc89ec52ab0b66ac316b5ecd88d67df06e8f36cdfb8a47ff712b10a24
+GCD = dc73f24667696c99391c4a9defe9c5ca45732f6233cc53ca859cd3e2c4aa90df24bcb0f8a36c354fcb0d79f3bc078b1a0d3730e536d29200afb2cbe7890ececd551725fa0a89f149d08cd7f79aa96c24
+
+A = 424d0764481a415fda9964655ae08861dba717b72a009db2246782275c5ac9c503e204db16cebe9b10ff459e9d60840fcc945d3ef6c6db813a936cd36ec6db1bd112de5c5771e96934fa653271e1bbeeb12248b1f15bf2acf91fa4054b6668e6cec3fbb5bad7852e59df6b061f4d5f0bdaf6dedcd140ad0bbaa15a582099d54c3d43c61b4769c67a0ed66ecbfdb4591413e59552e6293ec13362a354ece6d820
+B = 1a5e8e81757a79341b4e86b04aca38560656accb6efc1e9d982c4e4179bbeac7b36b50d3539fe4ff8b04d9db11c166c161ad1c8072f3829012a9dbd354d414f930182cba135224493408676c3d7aa7eed9014508c2701bb8cc2d2f963cb06bb51aec51e290f4b1203e87b1df8c3c16daca5862814531795cd0f494f7440bef535112667eb797895b6c60a6fa60f96f7156cd869f1d013d89a4924912438eb54c0
+GCD = 6a52bde7a93e30fb969743d8587f14314e2efa53dca0218601f6196ce766e5b3243b0403f476712838eac8e710a03882ea1876a00f64738635c72c357fde60c032ecfd88ada755a8018f35e02b8927f20
+
+A = -15db9e276016c57f9dfc330ad290ec43853d5c45fbfb1cd2fefe427f4c866e22330f57d5f2a752f566cb0aa36a2c62a73d01db1ea33b4903080d5368916204afcc5b5cdd9a1a39ace70f0347383f85eaa661248fdedf37ef01e2cad2fc8f320868d16c23d2668ea333192b4d4aa3ecd2d1a872e63541e971f87f02d272b71b910b483f8862f5f89a20da957bd15e4c86ffd4d167660290559af69e2539741f40c
+B = 4dcf192166752a6f7dd6a00c62b8b3481f339117d8412da06aad82200b2aa9bab2545e6ede82962c6dd09e43b26a5a3d166f69bc0dfd0b8799e908ded998d1e1907cede348ff03014f057e2ef4be4f40fd18eb0a2b200a3cd02550e980c298f340ab183c68a48158be8e2a5b88f0b5b30109e299b6438c3157da607bf2676b1ebeb289e1a8973226e4c6e78d2eafe0db8b4d69412514d297d0e1d02ef64e29bc8
+GCD = dbc2d41161d3f18499ae0356ed22e1d35e8de178d88d1db47d55e57d30e3ab1169223657adb97b7322686d2a760b65bdf05d7bfd4012046c809375e45ec8fe8e4beb18babc539230959db698f6b8d503c
+
+A = bf84863c031c2534fce9e1b1e7c3f776ba329462013beb5d3dc9a1ea0e8ec8b5acf9463c43a590f28bc4fc1dddb2e157b266730820b913a09d4e8237900ddd7dc7261afec182a207848cb12a3bb0e7124d91998e41a5aeeddfd93b38f9756260b06710626e920b3a639a48acf61ea466356caeb50403c163c19e654a69fff86a8190f187c02f90eba8c3801105e21dacdbb9862bed024aaa4d4c15b8ccff9931e
+B = 12d7ac84f45b39d4b66d77eee8e3212794542c556edf9f4c0abc983b056e2ce6962342ab63338b864298f2806a50d1098c60a0680ae4ecc808be8a603c863ae45424dc1b2a1d4fd285745c3ed9baf6f057f4bfe91e5010dcbc4f3a2ccdb1099cc48c9284d0b70421e4c1838240d297391a6036dbbeb25e0ff8701d6304bfcd4b8164f3d468adf1e48a48decf4cf0963b7948ee5fd9cc2ee3a778dc6b9b2da14550
+GCD = ebd69fea03c3509afbebcac25918c8b2b3df76106b663fdc514710373135f6863fb66475054a183a8c80746831582ef7b1b3f8369cad22563c74a07a39c933e400f457390b887a4b145239ed227a2d90e
+
+A = 401421ead1760e4444fe51d0ed157fc26a4b1aa704cdb213bd5d5b820175afb1c3db3fc399efc5c4c539ce4a44eca4ecabca01670390a3308ec235015e416ad6ff79df5313a8d5b4247b62359423b32ef1155d6fc4ef6f3d62d8ba0cda98049b1c3f73d3a8a7cff430d99d88a47183d54950c02e61ce3ab8a57d4e95b122dbd30c67a8c5473200abc0b6657b0d916c129576f661f0b670b921029804c6a7a10af8
+B = 36cc99bcdb2619adfd93e2fa2f6ebb639a18d8227df5751645f76d903f18afe129a0993b0da5c29bd7c2e7049da2b4284ee3a46dda22e918961622fe66c6158bc8c57ad9b00c3f8f95199d0550b5cec929cfd7c11a93b4178fd9839880864fcfd58bad1e2c6c96d4ff464cf42817ba1d9bbb59f570a26b640c1d1dd5863be54d5f96e704eb7353e502b1942fe35cdeee669ad4ca960c87ef6addbc13e4f860b1b8
+GCD = 21fa86999658121fe55845e7dd43a1ffd21c4ca8f37a31af2def0a3e27d8bc51e04ae7eb5e65760302ccaed852b24c45e06a8b6b792c515df4344ecaecb9bc985f100b8898690dd83dd840ecd0655b8b78
+
+A = -18c3f2cf758df5038731c1be874d26a9b072ce26425c64ed74b246926bfae53114c0dcb3f1c0f06cfb09f43f6b7d3e635085e7023be56d3e54bef884c8fb185635927299154ec13943124d4a361f7671ad41c4564e98f73beb9035451fd5e3b66f92afcae903613dc597fcbb443de7b56b493f1ebc6f3e129b2ec595c6afd86d54bd3863bcc83d27b13a57279d6f788a7bdc6a84352d199f6a55004da315b3037c
+B = -85a31a8cc522717473980c0560cf50193d999d7457a6596115b6e640d4ab4482b5ce216872775b7da243aef7eb7c5f104425a4211a07854806662838b58f4fba5613f50104b992c69daa5faca1b2e83d30c45b191b1e7b6b66ee524fdbb912db191902ff72e192d4228b581dcc2e41821c06cbe8f655583d86dc305f05989d54d7d82835c0cd8f16fe0d4832af5fef0f0ab52f19980df538ca8087f85b11f2107
+GCD = 11cf3710ea8f9aaa7662d95dc9ca2e8c051d610fa95bdce9f0f4daa31620b1037296006db1437e16bea23d7d3fd86ede7411556425b52934043278cc4bcdfb565a224c362af57a735ed0d7511417a9b5e5
+
+A = -532dcafcd2ae2d7cf964756dd347bc63d904b671c11d69d1a723dca15df97e8acc465800d6aac4c6a86632221df1e992174b6c02deb796ba19cf1e5ac923063a3d000a0aa3e08800e9eab98d2a035406d133832d576547b13a1c15d86af6d844bc83aa93cbdbdfd3327e1a384d0b7d08d7fd586a5e1fa75a7d7a721e52767331e1b3025b7909c6c85858468ea2dde79bb44c5244865777788969eaae29adde8c6ff
+B = 3f2f6fc19738170b40b3551dc8f27cb13eb4b6f7b80e3e19dbc508fe609b743366aed5d3778760303ad9f3a375922ff06480cb57b9f26406672075657f6b4fa87ccab72ae32aab322306b4af5cc8c3ca858b54e66bafb1ad62b080e6569e9fb72893f5eb09f44be2212ede48454de9f441113ca345e22678c1190e27a0e32d379e4fe7157e5fc517c10de638f909452811617b338961d8b94fb4123a7c3655845df
+GCD = 376426bb3ba481678ab10352f0744dce370bfc0d1a3aaa70dc449f6680e29fdef8e4baa9e957344ed9f0b2daec8afe3908d9fad50771c6e8f4b462e2228a4a13524cb418f3dbdd01836b0cb9b6f4f5a967
+
+A = 4ecf32cc2001115da6179d222580a560477c42bb246308352c7b8214efc9a4e1f0a933cacbb48901c4460671d95ca5639a1a74b993a2ee979086bc589afb4587676b9f5830918613291d6e4d14c9ba84212057af208363a7822f6356fe9d468fe590311f420a42229be8f900b63804ce52a482b29856c69c7a28853a5b2c71bf949dfb0e1fe985eab4f6999cce6b63aaadb7aa4a6b16a14a14c7ed25a607f73f536
+B = -1cad64940069b07660420d1103e5c54d4bb1012c0147a6ef6bbf647ba0f35b5b8b9f176df6c21ec34584114a1ac88e73da3d442c7caa7fe6e22401b7b26bd4ce75dfb55a2818f7648652cd9b980561a21428dd08e3e49e67240f7ffc0c6b47c5fb7224e3e13c8ae241458d7577e96f2acf38de2f3bfa3b42cdf45455bc875aad6755a778e057341c680c84dcbfd18afa697a73628e37ae949cc2ef50845b7f253e50
+GCD = 7985cade73c3d55095ed9dafea25ee23e50d1b07969740df6d70a4f3f7ace2ca17f54c47ccd78c5962edef8e77d44757bf286774c6052fc88741008ea5af3ba8b6378a06274896851c8d27a85bf03baeee
+
+A = 5bc091dbb7696268add9958c0c9bd2140df8b30deda2093d82dce05450232255b969d75b550475d9e3bdf7cb8738869916344cb1aa4309c28979c2e57ec14072ae31c0820334f190011746a2e2c3cfafbc6c48dd20924cd200ec25743713a71be451ee47f8d284940ed0981235acb1ef55b4cdb5f99e9d4dc98d3a927a72edbd9ffd12ef22eca51a1bb38aac5b4e5fda027db16f253ccb9e727c91b6dd1d53c5d60c
+B = -215ca904647d4cce9ee41149f6c03af74a9eb54dd1f43c0ee1e1071e3fe9210b6a5fa23ac95529fdf1207af2d1a2b1c61bb0ff5295a6366f4cedf64077207546f7d1ef6896b00de6e99217fb8b644c3f2ad80f65c9d2f50dc940d74189ee97339e54b4a45b1eb2d3b5626003ccfead467e532fc2bbf5f2737631f03672c0c410afbb288ed15e40126a7b7a023350a742bc5d8086754c2d2887c38e015910414470d0
+GCD = 1c4729f28b86af92d0840cd009e4731e8ac551a192e8de759c5212d4a6bc8725dc5e8a5cd34fa1d7ec9c482efc8b999412337f5e0d4363314fe93147990bf419555ddcd8aa3f9ca655a45ec7face2575c34
+
+A = 1a261d7d2a82303999efd12a471cc73d302b5ab9d1c4dd205fbdd0c6a8039b8fc675d3e5cdd78b0b45a8b195e07a62bbb7b807d8fe2d7b5bc4d6cef0c65aab0dd3042d35ca5ab0f153bb1ba11986cc505c4b7309d439ac2340670da31981a0527dbb2acb43a3f297cc359ae3ec71f44466f5de95f68804358f5419c4d004b7e3a03e4116faafcee5ba852af09639cf662340a7005e598a2f988058b63554be7e4ca8c
+B = c61460ef4326daa99a59f63597d545e49ffb0f169dbefbf48d3c560c3b824f53f8435107464905a23f520dc0548dd6cec9765ab10a737237008b56b9b5288e8e9d3edd387de302781265c434436c3d5e83d74e35ed15569c04649a5ee612e2dd24042e468075e2fd23be46c8d58e445ceece239c8ae3d8f08037cbe0c2adc6c96d44d864ae2cbc7e93488d868751e3786a58a47f15e0d9080a25b592b0399a1a2760
+GCD = 6dc08b6680dbeb60835b34fc41387d27ee9a728d043d95c87ebba8058e033780fe2073a49a4278a3048c68bd9290711f75a8d338b70d17fbc54ac69d0c08474c4d0920db3793cc4f4fa313df5a9f7a62e3c
+
+A = 70e80c25d9e805222b7d6ad6126e1fe0715d57a5322f70076cf62ce91b61194664c7c715cb3bf656d4ff203973b198846c64a1fd92bf11d0ed04351369f5d8433f971e61e2c0ff6d331ca35a651735951694c82a47871d36dca43b1e963660be719ee35dfe4dbcde4f380f08371defc826f1ab2b2ca86b506f7791841d6a7d29c1103afb9e3aa9b7bcc11569457743e6c752cb3b8df362524eb03ac0f9c7fad9aebab
+B = 4c3c5788da48e310686eb58be40d4ddf7572687116fe94d7ae085f001c428c89b0d8c6ea9ac239273659be933c9d5fdc0bac2273b0a0d3a9bbef903da0fa108b0570020df25f97673d302576450cf4a33dcbf41491d972934beaabf3a61eb4d3ae278f82f99c4c64e7eebd9f4ef82f12f871fa665d2d6ddf5aca29a0d5fce1c4665f5b5d3658212e87ce38ed6b79a9c51d61fd4dfe2ef25d5033ac74869c651fa905b
+GCD = 3c09e59543a8cb089b2e54d261f674a55dbd8f9354f8795656785fe641f1b6e91490ef627236119c840796d071bee6a03c6c1d6bfd9892dc6511f28c3ca06f681857ae07a9ce3a3311e592c19c4c718436d
+
+A = -efbccc25630fe209d37e9bdda0b734d1ecc2900037bee9ba10d2c312bf36362931f1625b6b53b1f7b4778677e3c2c9a6251a51ae7bcfdc8a4fcb0e3f6de73f7d2648c14c8a2c4c75a2f867ff6d524455121ed29b149a6e166faa88c772f8d98fdd1c2d34f0fcc0ca1c64de068047caa4350af5794e7ca3cbde87e2d24ed2b6dcf2df69f70b300edd600e9f5b31ca830e60c1e7170d0b293227eecb0f60e45c96e0e81
+B = 434bf8c6b3147dae8d526a2012ff4baa5dc6ffa8239c51a3b95697c65069e375bed7b1fa439dea48e69cbe28f2f183157952779f89d0a9e295e533b8101a4024db5f496766f9c266c7575222f0500db011b437099877e43705d04b028cb41ebec51381eedee14adc67a3a9cfdd6d90dcc44bd885529370258b9241e6fdcbe873d67d4ead4352946094d91b574341fe36e053bc34131ed12b201eb9351ea026ae63308
+GCD = 5895d3316688c60d0ba7a2147c2be7727816ecc0e703a084d5b477ea132a3fd3fa4ae311f4521593ec532d0ed4bd2413d86071360510610a27790e822fcab7ee5c11f7b91c22d62322cac6f4e16dfc3fdd5
+
+A = -29da1816f4c6a61f0e459cdc54dcb4639e7d28f6b74c54cb06380def3c8561adb39a0f790a1b70873c06ed025f12ae8cf31933bbb5a45120ca47624bdc39ef86e572e2b6314bf86e57e9e81b14fe3cf1be57ff1a67f16a63ec8430f10e0066957b21915852686c9da65c03fe7cff5d9db2c8a53194aa274d264baa6ec857d517fb7ae0cae537a4a7fc7cd07a116c831acbc7eae6ea1d5587559cb5e0162e45b2a70da7
+B = 1ec8109d26c1abf8eb91c94fe9a820bbfaaa40ad6d82f641c391d3a917c88a6555f584f3337df1aa16f6d58d4e299a96439155ae279f931b6a89a45c480879b9258f0ddf80ecf68e2a8f682d1c7d86cee01dfaab196c62aca4844f52ba740dd775ca4efb9f52b898f580033c82d51f9de34b821500ba0a9b06d980a04359aa9048c81c66aee2cce29054b3935814b17f5419ceaf588109bc99479873a7c8e55e6e0a0
+GCD = f97988300c811da26d3ef64bebb885b1762f8dc7872c6cdaabc3e688764d4164d1ac51ac33064c326706eb4200fbac4cad0b36fd9b3afbdf72c8dec8dd576c78301d304fcfc405508096346792138820319
+
+A = -16313a0971dd751ccb75411ccabec39c995802f68f84b7f89ca20fc39252481cb8341533b210a22608851344db451a8b6c121b25c030fe2bd8e26b8a0557d292b9d400ae31c9ea576a7f5f3fb0766107d6ce528064289f0a5f08f768634217692bb834f823dd46717d0e05ef97b1f7559d91f2fff6ad2443dd404894f8fd57b76a27d744782aa237236d891d758b8609a4e43bb6630ef429e7b8fb5659f72de22133068
+B = -294335c2a9fcb1f5707416fadf23977509ecb21fd704dfa2ecbc2cbf5ed22a1aebeb55bb98578ab96b277924d530853cb6795f0c480bb1419b7cd9a6d78f3de57cb7f8420d7d890dcc8cc01fcef117242f996f835dd4fefae27b3c0575f974cafbac6a537ce87928633e57c49bcb8c714e6d8c53ba71d3517f3aa19b512ccaa4f299c1e6b6e0c22a4d8aca2bb58c45476f29c5c281e8ea3b4cb0cbc9c9fa7c3fe470a
+GCD = 2d6bebea4991d099b6a061df6fcefe00a6b05c0598694eb2dba0d6f64a06c279db253f095fc60c362322ad0dd70f4737c6d67fe5abfbcc822b3e7a61b6fa4dbf00cefac2b3b91ce4624125e18d15fccd6cde
+
+A = 329d32eae5e3708cf6825da399ec12a842062d0b4389316fb99582721a5a19e4e1601401c8f003b03494d087d84e35c5745fe19e2a2f638de6aa97cd233b2e7afbff9a8c789d5ca362ee51d173fd6b688b36f33eaba68ea705f56e05c841958c5a887d459aa129abf2ac443da537e03cdb4fb8d489b364afb3c06de65bc5550609444763039d7381b351ff02d977fed85320fcef4181f990cb00a2b68c960b17a931307
+B = 10616bdea0e5df2797ec5a5ecf134966f3a309bacd8d1881eb67f8b60a52d0ee2aa81c631b2fed25d922db3846914c1cbeb7f7195546d5a5156e0621d7fc2055f456b4b67a44dc8349ca700b3d1ee947e16c85abefa5f60c301a470c5e30291691d927d6bfedd4a7a02b0f86222eafa139f9ba6c09b7a51268bebe9047766b9e94ca0ba1940822a934a1ed9b88e7ec5a3c0edb5eb851eba448c7695ac943a2886b5d2dd
+GCD = 35055166237bb1af9e01ce90647c1827a79038cd4a8c9fbc2ad4f2d6dbc111a76549786644cf01e803380ee6649821b7b7146956b3a6273b08c6c338ac3748929a59f8133d74ecf9ef36fdcd96af73b5b693
+
+A = 36904bd5a8280f879e08cddd53f4d1c496f12430fc50597ee51778dd6722df6f29049734913edeaedf5ae14d1cebeb2f9f0840e88931edee9e9d0c16663930df00ca0df636b6126752374555bf771ec6414654db5d7935dff47deb669fbd2ff28a136e3ddf3b9373cad67b6f4286cbb7f04e634477a7856b7c850aa3c5d606cdfa5452c78f07fcc505e4339fd0a23c350f30098ff91d3dfb4b8e60ff0e32335aa9fbaa6
+B = -10e983c846b305d2f95e2645620db9865649a44190e8c9323a985fced8a6f5c6198792b844c8d6342c24dcae3e58bf2e4c71658b0e23c7c9f6be8a6d9822ae7af644058b21f1bf848cd3cc30f7230a1769d26ed291ef3cdd741b016de806dd4b664e16dcd22d9e4ca9b532a78ec4c42ddf2b6b6d3d6ce290a55c1cac5b0b856124444964d976fec1cbf39834d8ce7c65490bc517eb4fa081c3c16a34ae83b9e78a0b11a8
+GCD = b30a49f8df4592d567e91202f3113d0a3042d8f83da32f9e384db094fb87c92c953e0ca1f1f5d648c31b24892b71ccf1558ff232754ae613299d0fb08a37acb0d97693dc71f5399a6a1307f5526ff32f7f4a
+
+A = -92d36603e5e2c4ebfa4dcb11e21f059b3b8351f89e2590893619b72f6b5b5bd03099a14f52afb8cb25a42299e2337af648478ad4d21f6f24bed1ae0ab7b401f61331f69ad73d22f4169ada96b405c310355e9e0f40f12310eb64693495ca9811609a4094a8f1c5ea81052715d40796f84ba0b76b6ee9aad312d8347e31ec97c5098a921d89fbe29aa8a8034f0fbdb956d96a62ca0f563d7a13b18f50d542eff534a6c36
+B = -6252eb51798b8bad5b7276af580909389a378edee5fde835ce26b4d7ede5a694cba14cb61ec0e32352df422fe663203226fcfbe686b25b4a1fe0170ebd4ebda0cb11c49e168f4ee2635ecab10da9a8f661588bbf1e118740236a2c92fa213d3a073ea0ea6e4a0c18f12a8290dfc930b85113ff6b6beb5fa03136644ac60cd072a7f408a681d3f8ce43c5d77d2d13e277f5c9d30f61fcd61f494b60e5baf112409c193f9c
+GCD = 2af5d3edd317537e82dace782fdcafee33606808d7747bc9cf2bbe4f966bf5ac2aa7fb6166d4904fa97402e6ee97df8dc545d4612ba427522bf1fdab9ab975fdd442500775756b2019a20d2fbe2a023f297ea
+
+A = -1a39d935ec82e657e1d543211119a4142e21e852a1c1eec13050e0131cd9befa7ac06cbc194f2c61503d3039c810db50e24d6263d271feec5e0a94b8bc27119913945df995c14dcdeb51fcef8fbe9e7b6444963221569906bdc88dad351609d13a15307d5ae615c230414e9fc46a8a7fd053aa1b9eed9bb3a49a9beef39d339e981ed2f29a40a8c1e8ef30b0523d28a7571ca5933d8c0bcb99e6ad0b2eda90e925bfb9790
+B = ad225ec02ab789663525a085d578a5822f76da9b9cc05f9118a9dbfe4fd3e06147e0d6c492a94500ab728600a3e2e2cb0228cf059c449576c15fc3279b373f1e5f9e71c211b3b7c5ee6ea8048de0eba7d405ea149e8e457cf1b76a3ac99d7285f0e3e99e3a4b528f5ce058df799e72e7be1ce459771ca3ea9e0e55ee04fde1dbdab7fe94a30860b9f089ae64103ab46fdf41aa41f6ffba41a6d5d27e793b2c9b7a33c420
+GCD = 1afd7bf54947a0180df0d0765e3d570b9cf5caf805483a5f68d693dcdec5ff2306f013c69000af2acd4e4aaf84f8e7144ac1f7abbac51deb64c3398f508f8e7e02234226240bc93030a26593c1ac750349690
+
+A = -36cdc87cf80cbc81b79a7c0b0cfec2437fc585e7c66d8d09038984d93333f940eb47bb59a7a0945c357fb87307487fb381067b8590db8622ffee9b1a6ea5c81ee4a2f0d2d05dbac5811e69596ea3766b2a950886ec6c0f731765c7cbc9bca7fbc3b9192e7c1a14113a1efa92b6c40abbb4b279c76de0875096c65d38c5effb432098658909788811015e91f83adae3579eee7d03af0c0d332d1297e980fa9a22d1e43fbd4
+B = 4b026196c3a48a799ff2699b398e5001faa52328102d64c66bc92f2fde7dd054f6cf65bf97842d3e8b201de3e520e64f3ea2c2aba0e19ef43a451e3e576afd0aaf1240a3eeceb71e25bf81d0129d0aec630cf20cbd4602250f295e54cdcef0e416712da7c97ead81226119a844d7753bd3d30606a43e04c2d5ed2f8b0b0e494883791025bd297fa3f06f25e9528938614a7bc471d9fb808108fac9a8eb7a89b3852255f46
+GCD = 6f4b0595758ae08b899b898394354466b0e95e27d15d60d3788273fcff330e6d9763cee432adc494f6f30ab274077e667b6da3ae4aa8d4e6ea05d375c411167e959383d39c03147e29e3d12f6855595cc79fa
+
+A = 178d2b2dd5aea994e261c28e702d7d97586309cc4cd2c694bc8a5cc27c20cddd1786088e7b827c98f576517bbab7fff5ab23890651f0bc776202839624b627307f9fa44d6010774872ef18fe574aff2207a72accc462eda36f759dce5e4ed08753b75fe7e9610f1acdf7ddc09b24ec4cfcdd5859f21272be818b8b5aed29ad487253ce96771fba3eb274e3514a1bc1ae0321447f7477cab39f702f8732c213c394fd189c27
+B = 1a9a8bea97eae9d2bf311d86133a9ffcf8746c839ec23b3a61da91fcc0b0981f86a2b33582bd7c57635f9f12b79f118727b7d37de2af2dde2b02fe4a229823e880d79e213f18252d96c185906ea56861a39726f3998bf0f55c754f2b2d769b3de988e94e18bb306ce2ca96a310cfeb28268693c92dd96316340d0989e9b09979d6ab7c276b59eca4b9adce0fd195404d4319930858b108e9c15ec9fbe1269262694ca8f184
+GCD = 7e65b25614174c841b5d1871b2b8414911d5e80124eb768ee0e7ff33679655f69d2426e1d7d1ddddecadcc2b005324cbbd515fcd2d93668917fbd36d182684c271f8e184c94c899bccd9adec28e822f482177
+
+A = 5b5cd404465779d6c27b916243c4352078fd2a36127e031391e85fb6f2aec27176af9c0473434b4fa8521f479b3c8a1ea87ac2594cfed6a614fee936106eb3aee4cabb8cd6c1cf842c6191779e9065251bf33b631f65e57816e3b6bc016083225c44a11dfaaeaec8146c334ff3a97ced48a48ba804c372c2176f37bd6da0c54c7a5b419138d3ad882cfe2ce8643abd67414556c896418b155416844b8308e6138029e68a90
+B = -360166e3fe682f7f49f5a57c4afdfc50c1011d9c7d9e860e02c5f2a8ffc38c2533e7f1f830692a36a769cb0552c7b0bca2632d3999e95f8366ab7057f4c469c84072c5de67c3b72e8fc3dd5f32bd94933ca30287751db74fc558d2ef7e6efbcde9bf72bd125c86da989a3b7e4bc9cdcd8952ba1668324a8639cf018bd9a09a76c4871683b2fcba10ea40da132929aec0fddff0b27687919d5be2aafc519bb90e7dbe6221f8
+GCD = 25966d518128d11cda4f9cd2dc6558cb70f7a706fa26050932978341930191d8e9656fc4e629881820e124cd5a9c510a4ad61d8a212ec9bae6d98756596e52f66b2d927c787bbf280c27421c97355c458760e8
+
+A = -cd4bc6c3c13529268d34e6354fd4d5c56b46b8e0793c7bed82115d29fd4734fb3bb1ec7ffbfcbcca4047b13515de58b8f6933ff2a9f1b58923316caabaccb836fc4572fa34d727da6866539de71bea483b4f2a2380a5d8665423acc9e7bbc8aa7114a6a8a43dddb4cc0c61c2ab9834944c25e5ab0aa8dfdb6bc96d9dcadc9508747c331b70742cf78593e41e4db17b12140439a84ceb03784a824048a89536a1acf124af21
+B = 1a5050a75419d16a46d11d76b31a79c86a585c0cc2462022d32a6bfdfba2e8ed85228c6b77f7978d93d26ef360348c81da5a12f5b93eba3d51d2b7a36771985f6a962f2dcac00205de8c0015048d01be79c8cb9330de91bd014ec243e4dc97c934b392d0ccb3cd4fc82b364a0fbc1362637d2bdc7b6dced6f5e69aa2e4d0f0206de40f7983276c27db7684d3de9b974911068489e803b4ddab8831e6df8848abb2ea94001b7
+GCD = 1d33ff9865126df1c8e5235eab5b72ffc84d7edf36bb8becf5e1b10d58fcdc335353a22219d816e85041a492a4002cd9b7166a7f55a157b2cbd3d40d09b40d335bf5a3a2ffe85f2b02d1459e64c4146445e573
+
+A = 1712a552347c8e4ffe985b423d999a8981c376883a20a61050b377501ef9ce7ba01389cf77919e3c165f875d0317f350a26813febd1d9a74ed0fe2787b51e816e3ea052dec169f0fbd21d353a7948307389b8adefa4f1b7fa283b686a2cc61a02d4794908b221cb327028ea949aedebf8c7b89b821cea04e3ffc2d78f34046bd370e781327eef2e826c23f029552da9277dedde2f4da3480e1c796a162c9e9ab8470e0d960a
+B = -510f4ad313bfc9efeea3716dddc199bcee421420ecfa455d978cda66a574834d0e1f2b559c40815976c612d657ffebb27a3474424912d743f7821856ca2f3ec80985533f348cff3280a07f2ee13a203b8e1c0449dbc416e3b789e4cd29ba1b798264527c74774ded1e4fd4943f813901c3a7764e1f5d8ac78676987ddaaebc3966772f4c4b873d6b9ab2e2e8a8e5190eb87721f784b5d20c58a06eddcc40657abbff94d57d9
+GCD = 30754de8dcd11fee7f17326d3153ef80c9dfc58ef76cf8337ddf47048eab6732ddc9f1d9ff5bc8fc42736474834ff48027e0cb51dacbf8d6ae07725b021342868292f22ef4da35d4639c01217091e868ba915d
+
+A = -fd9caa8e52304ddf94c0c6291729a3d5e7e191c9b1ceae3aa6f2ae8017792c6a51a8520087fb8cc4d60ceeba2bea6d976fe95eb36386549816ff0a0ee90bfbf814bd9f2073df078222fc763bd073a0c98ad4b68cd47e71a580d6ed9ba77f2e98d76205ed196c68479c834cb5446878d8d5897607b17cabd090dfaa8e51b95de8c103b215e067599d334609ecee96a20031d426632cee68af43ecb37063c6d4e127b82f730e0
+B = 12caeb3bac156e415d7bad63a04659fe81040d1b40db05ddd0955f0880aca88b750d6e0308a2c2446fa314fc6007e5750e62ec6d9785d0685a480a1e3bf84eb0d376b4686b321f17268ef297cad1c5e347c9dbe477c9ed9c1b45c491f0611d60d1e659c746c3721cdfda8197fa1c417e372870d8d730537f3eb726f5717f61e79559cbf063b119e6420a4c9e605a892161681416633ce1888f63fb6e15cdbb3a6f541a6a08e0
+GCD = 35ea5c7f74acb11126241f157ab0c26f3e7739ed788e0f11fb949482c44872703591e3ab8567718c792c6dbcc88cd08baa179ab8df2252efa219df690de0b6762b53c3028b7f636d9f50fb4e910ea42c46ec860
+
+A = -20bf133d2f89848dd5d32d38869a02c36ebc2bbf2b686aa42a3ead56fe42e04ffaa5e446fca76c689af6cdcac055d021951c09e71d7e6ff91a08863c4cb0c0499d9ad39438e31735009ef0c94c8e58ca48b4b43ed65703e48a492d5b55f9218e04ed96635e6ffb7f00cd2a3fa1ea38be43b620fe1e12a53ccdded2378d00ed21d7c09e85eaedc199c16433a4de6bcc8e3e1d682e3aadd7cfdee5ff9f97b1a12b829fbc086a88
+B = -49f414cb511d5de559537903e32dc26330200ddbbd9937192f5a8741ff5a8c69114ee63d6240a6433d4fec6e55f075fac24683e47176b17ba31ae997caa3f8c154f38080019cad6ee00c768a65953bdc21b68c98f70d6d097bda7b0d16c1eeda8bd20342b5e5bd12504bae876b74bcb8b0c20c4d516ae6c756777c2b7086c94bff6f38a2e0b64c0e341a14e9ca703496fea9468d6e41f7df70e5f4afd0618e1f1271b11678b4
+GCD = 98c8629c61898cae20781d5c01f7fedf5cbfd10f80fe92f5a7fdd17c1856e0d17473791389f74b07da3c17241b12c1db5a556720ee65b9f1af89a5f1f5921376ad38ecdb6c748b16dca6079d2b652c81f8fc54
+
+A = 1549e7db262eb1036b5dc6af462186b037409e1c712d65e568ca8535ced8ad3a8dca8d28716d2706ac43c33a6f8b3982463199f56806dad1a4510e2ebd461e37fdda268f08dec39e95a89583fc4a6d6b4ae5a774c0586f5bd23203ce784533dd2b223ff02651a455eb2d7700f9e19bb98902eea5303bc2b5817d0954e7ffdc033cf1012cc3f55a8e55bd4f98c1ab7a9246d2df93ac07f76a73a09882ce791d7d0572438987e7d
+B = 155ae0e37ad2ea6125d69e4522aad289a3bc053427fc8beb903033071ba3dacc948a9a8bfff7d9cfdf305acb2ba4dfee543a3a4079b51707f27d5d72c7835cd8e2bc0638dae7eb613befff172ad77d38356f341c67bb88faedb20df5fb6b2376b2cb27246f36c76d8883224e5961d14f205be0f9c655545b408044ed2859a27d93f3e69f596e9abbf3c9bc90e61253d071c74c8ded5ca3fab79d64da119e551de0c918bc58b36
+GCD = 1a884db4cb40c045de5ef62e54956dfe783446ea789af2b3b6ce3f6a197396fc205888616ae914a42076be666c9778574f64c0e5518800ba72aab9683771b4fb9d080033d6d02b43931d7950f2eb651fffca95f
+
+A = -25fcc9d9907e1e47fad29e264691f4b621affe96b469c2edf1e0cff29e8f8a67c0766a73b728cbae4a3abc9533ab25e4311bbfe128209dbc4fe38022beeff6d36e782095d2a02380f9e1377ce4ec02c461e3e2e0951d320d7ab4ec9ea95f4fefe52c7a1d3f3a642b327e8cfca21c4947d9079c7774943eb747edebe0d990a3f137eef270e438420fc72441a2c1867d9c40464ab647d088c11af78af6d0e2095c302f9d40c3d0e
+B = 4df501302608822586ad0c5dab8297b6ef8986569e7810c00381422003ab17c2ab1cd878fd5d4e5d0df7e8de32b0300879e6d772cbf27f525091314a7801efb5585ccf5e1e5e84bc5b69b2c6a5706d10ff47df285ce3440cbecb565a65c003251788818557c35f21ec6e0bdb58a084717204e27d6b9fb56f5644edffe278ed63f73f6ea44d58b74ffce2b8367baf5116d572906c3bdc168dd8e3743e2a244cfd557a12c3d4e1e
+GCD = 4eeb4f4bf9f712cffad8115b4d63984095221e83aa0615cc0d9497b0614587fd294dda9f87e3e9e8edcb0613a7b515eb4de20f87eca081e5df3b1d48e6ab66199336f95ebecc765a4e16c878b171b5cdb0761e2
+
+A = -17e20b7adf1f412b15ab588b58e91083eacbebdb148ebbc93a9cb4b8bf1d2d974a24aa0c17b496fa715537a802421b95dcbe6ff7788696565b0b1b47029447837738f895d0e9a35dd52a10b0cfcec5c79ad0e3369e23a42dbc36c559d9aae58cb59261b7185f087768ac004b6d3d2ca07151fee8d1224846c0ad923b3ee8773d8d9fc31836b46282f10b56d5ff1908ca41f30d1858434ded8c303701f52cc41ae13c87414b0c85
+B = 1c680d414e1b343a829fdbd1c6daf747a1d953bfe9fb0498ef09a9bf3b6d5f5b6b5582e0ee00b9591ea5122d8e798d41a7255a6749235c6e9970c05050a5ce2cbf06e131f9b0693afaef3148644ad6a1399c7b99700385b1f65ba78a557b465de68df50de0325dbd483940cbfb8ffaaa0c7c58a925a60ba462e9a79b2032fc77de45616d979055ad621a1b9efdf18c87857b2829448163111f0120f186962e2467d74334f6c565
+GCD = 790f0cf744978e067668f4da59b3b90291eb5c81bd3feb77d50e2c57904b6f18850ab1e98db71296947f6274075aec399ea9977027d64f8dea7a07cc4cdbc2257e0097edc6cea6115f5b99ae8596d226c3288cd
+
+A = 2e19ff84a9a9b888081ca210eae3e3c0a6a31bd8d540b40dece7fcff0b94950499861b56eb5839aea6b236e8417bf7a36535226ea68089da5fc96b308b2200508b33402e2798b4a2d73e28cc3e2cb522f86003507037d6afc33b532d3d977860db87b493ca0ddc8a5eb0304d0a480960a276f31e72c391bd186757f96b0092bb72e36e29eeac6c786b68a50288bc5b8e8e704cf2ee270316551474447d3e6538ee0cc12dfdedb8
+B = -151ca7bff32d60f1172a9da0927bf5bb0f720e9518762ffa147d5a1b20496961a00c65987866b83837901cb16415c540ab431e6608449bcbc8f92589f4c54c046550b7bac1cbfc76fa2357d4a5e223180dc2c6b3f1cbf1766ff5fce51af2bad4c71f3fc10c16d2e56eddd60b94cde93f31af8e01ec29b8d67700646666e0ae906617c28a4e5369edfc9682e34e1b0c5503ebc5cbb1be9a5643794b0a806a5e84ec24e2376182f8
+GCD = 84ecfb4f8437dd4247e24392b789004752212d5d115708bd95d9a03fb20bc0b3e489b52827b7febf2b8c7424c53d00d5082f343a0e99af320c6a47b54494903dce809077166464da5accdae689c4d1b34cbca88
+
+A = 15512745fbd011f138f17318cd664ed98db7f4a3a2c3be33a213d04120a33ab4458e37eb9917e61f288197ef540d67467a09e932744709d9cff9c8f7e2ae629b9ae2ad4ce997b52bb1c7a3b963775ce6599cce0545c9a37e73d5bdb8b5201b8e3027bba7f0cee33a090e02b576b659356b00cfccfc77ec77f952cf511e611be787e0e1b06bbe85ab951056c41ab4ec001a212b80af2c1bf25e38ad570bcf6ad87191e6ddf7b39a7
+B = -bc9646ad273a8b4975c627d9d7860ff12e3338d9939b33f654362e25581d615239dc1fedf22f12d3bce02dbc7892f4a7e3fe3fa65e254e674db130734759b79afb909cff6a65acd2b5808facc3c50af77ec9ebb6499868cf537f87a8ccbea9eea6f7c3686883803687295c7b077f89d51997202b57ee7560f55eeb75418af6893d2b3ff52ea68dd2081728499db3d08f09fd03d00fb562e73f5ed4c2d7e377499ae3c342c5f40
+GCD = 196a58d478b0c26a8f91763283c06f47b5cb1922eb4461b12fed0602222d3ed64c106ae4fd79da90dc4a85fbaf187885e598a7e203fe751a81f83f492849e1220ec5dee8971cc6431c5234405a9355fbc5e08419
+
+A = 38441533567e323c3e81094a91e486f669e00ebe71c1450216cee42a8111049bde1702a2e9cd4e5f8f8873ed693c907fc5f8275f3d7c5b62353c7efb1708d6edc97ed10ce3fafc08e40fe210d5afe4188a55636d9a07ef06fcbe1928492a72e6962b9cdd539ff3c9622b9d0101a8659181bd5c8b9544c3e057c22d0500b052db92ad8a1615aec3f11e2bf76cde79c5213d093368aa55d8cf069fc6d04d73e95268302958197c7c8
+B = 542710a700b1378f123a45eab1781d51aaedcabb1b87a117c993f95ea69a811d10736ed6c8d0c29826a88a7a34bda1d04b52e997c0fe1d3d7cf596758365a7e91643f9853a32b369e89d107c7ee9f0ac65540633ec717ffa4a631b74565d42a8e8ea99f5eaef60825f510d753a5a28833f5a4fdefdd2e91c05542a03e8246db8e49b90cf09be4c2f76fdd26797923a361250974987c2d991adf90f148c65b9769d282e88a1f5bc
+GCD = 6cd62d01a949b45fff6d5a973fd49716e5d123c137db5113492709f862d31085b4b7a80d8ca5b8a2bbf453a748191567917fae8c9d2ac8b2b5832736aa116bf80bb2dd1e1ea663aca3c759027539f91e6a9c23e4
+
+A = fde1cf508ddb315a775ec5f312160f7e0cdb6007e27ac54f3f04e6fe60a06c266b78d9497a0a5ee84f4ec2068a8abb3982ff6f87554fb72ed8465c7e09045b330b55609ea4b5419eb0b4effb01395647d1acfcfed0c7d06016db94305bb58a6a8d0be078c2a7787841d17ee4aa3f9b4fba057c61b47072cbb5c0b570d7517ad40cb0acb97646b247beafd0c42f3861749cf68b81ec42d1889c7b54ad70fe51c6270ef08d1b5b7e9
+B = 12c68fc67295bd9fa9bc65ddc2aeb6483d67494c0df292cde481dc3423126434b7725eed546d3f920035ba8cbf7842523b7524cd1df83aeed7030fe02aeeab9636ab8229153446c6d38d368c76a65afd9fc8771667ba4ea595bf1b3391540322e07a11a31923ca4629c9b77ee15ffc3edbd546598298f4fd12a5e17539da50f5af66b3fc75effbd4c9f05dd2132e8dced427e28a72c660a4badfa356d4df29ff5e813d0084016d2b
+GCD = 193801a62dc53ff7f3013662412ccb3b64527d6e971a47ec0e3bfd8f8908bb88669c3445afba870847dacd52be8eecbae1b376c2f49700ea303788fbffbfc097bde53992cf9c91479180e44d19550cb2d3454d3eb
+
+A = -132472a5dc1a3cbf5afd3f729650983622784cee23d47209fcc04ca0eb3a4ca0e8894fa1bc64c3ce72066b757250babadd215afe688f5a0878d864358eb02d512a561b4f79a4234afa1ebbb2355b38ce8e0d7051f446017ac8d876dd8fd5de28e361ff2feb47335305cddaa0945c1ce27c2d6be3991332efea77dc5ac18746f7e0a5da389b1a60cd9609a84046239a4535b12a6831f8ed9d0f6d1cf621d5de18181fd84ca4e8d3da
+B = -299b32e1415d646dfc536f6de908f937d9db2e95381da51564a328e10bf65c9cd7f553a9b9adbbe8e9c8d30a60cd68d18feedbb070b6d281c8209b8e2325bac5cc1788a64762d0e6ed9b9341820be7d7059e1613c03a1e69dffbd3e18206b5220f31c49191693b94f7dac8718f6841f10f1285e8bf9fe257c2e25555016e73a81174ae65010f69a4ec135ad94c2ae04c977c215dabba0b28ec1eeb5007c46c9a8e6c9fe203efb604
+GCD = 3ee96bc4062f032952491e7d1ea14e2d692b7f801481e01029369887f34b967f4366d2b3f61f9189caa332f39bb95269ab5956d5cba7fc4cd64d1408d1f1c21fa13f0d6dda63e703d4ab638689219d3275018ca4a
+
+A = 35e70ae7a1fce34516ffa77495a40604d70c7099fc4eb2c0beac82bd72bfd0f51a030caf0e0b3cafafb4420c7dbbf02309a562763b4961398936c26c049fb23302b7e21a1f6cf3c47254d7103f7f3d44137894fb659c3591578058353d6ab5f68690eee0f37fc19b68c4a49c9e915057816a54e2c792e5e1f988b3b7e1e57d165c5de60a1f29e88cda53c0907c19c77f4a6321ec5380c51e8bdf9ebe4a12c19fdd6a26ea8bc6cefa
+B = 1a418f34a6432b7c7499a21215585d3f151db08ed3ace5b9f82dbc4aa7d012da7583c5ff5b7e4e52476bb1418520449fcaa6686b4066dee72cfd6e153c77ecbf25216cb0a5d5183390d70feb41a631892a23981e7da31a3d2f2985014535f07905210098df5a103b46cdbd0deec0e7e6d837630036ed001123c7b538f382e51157f10c2f2d578b54d56d9d224f0b1504487617a5087e7441fc790809a4756014994e40f21db272958
+GCD = 1d78490e789865026c162f108b6bb5c9dc924520ef2a8af2d5e308cacb84fd2b05c0db566b3445101b524f77ea3ee49ffe55691e987256b45e0b9bdc87ec652c2069ae1c9a00ed18307d1044228c43d30570d6626
+
+A = 4ba5d7dfb78447e62bcc2c91deb7ab34486ae55860417d9eb1db637a1eb1bf8926755d301c3e309516c200be8a4e0c6c1854d00cf9c65b8c69cc01ae93574f7b8c69194c7dc053209460d2ae28482872bd282b0136441d3b4fc3bec567fa8bfb38c78b00754eb4485a4d2d59b9ea821157055158edf6d3ee138d5b3674cccccf5be8226b6204598b440bf299502c0ca91b23597eb51178a23b1117700f06fa572ba6fd8e48debaaf8
+B = 413207c997776cb0da827cfebca52c65f5fd87305b3de70ee614240a65c6aceaf997d55d2734531f3c8b0ad11fc4f4cb0affd1ac9f3320e439e9470ca09e8cba5fb97255c5320075a146bfddb44d9153ae18337bb65800b9d2a9cbcbc88c3a1f412eafe2f1de5fcd3f56a90d61fcb4de2ee0ecd9f5cd5619caa8dff3688c557ae72ba8cb94a79970df9c2e9f8bf16c369cc0afe35dadcb00ccf9bfe544d5ee1233a12ec248b84e84
+GCD = 56e620e8c6282ea69fa2c6e459463605eda72fafbb8b27888776ac8e3d2d861339ca24d56aeae3d227549293a6a988235605b89f8bd5a28df37dae254addcf3b346e5e39bf923469824afad5ed9cb50e6da196d5c
+
+A = 62c6a8078685566f99416b21862d67f519d90f3b58587f34abc40c66ec31ff97dff9e28727e555cd28e534ccc8c54aee33332ac827a8a72c69c796db8182792ab3a2cb2876991f0672e8026ea0ab9f42eb5b011d2ee79eccbc6463ca87cbb6633a081a3dca5c66d3a6c6f6eaf2b09aeb7343251db226e464310a1c6f8d46ff0decb396b3d364e64d3b909473d03ca2a51dcc30ea0e0c24a8ebeaa4862def92fb3a8f97401c88d6ef6
+B = 4dd40db96fc6d596467d5dcbc918c28170d1b60ee8882ef747371be72771d1d2dbc6fed637ade6ed3b744580ff1eb936050599c4277551af94bbd7c3fd2b9499e5c65a40eba3791fb169a32e04e1dc121da3a0bf7f242145780926590af4adfef015d1c947af1747fb31de5f34a823aa326cea2f85e64072352ea4f87f7b4104aa2e71efbb57e3e7836a6ff07cc30007ff931e9c73c12f4ca4c3403d964eda9d6b13cd644e977546b
+GCD = 765ea443ee10c0176186891c78d9987965dfa0d1157b5274005d38d00d06f6e1f1cb2b82011ec12adbea84313161dfcc9a84472f006d07fc034fa029ccb9ec22bb84da383d7c6aeb8954305191f6266d7f564d31d
+
+A = 7261adb430d2276980682239cc683be8abca470ec39f450d1e7ec08eb9f16dd0217e35c4ffdb86df642d42312a57ba0b8e4566d16edda08dd7a360e57ce56d8aa5ab3d85b92fcd69907cf200885d9da69390a45050d7a81110f02b1eb4f55481145b50ecbe65f6580fdca674cfb9b4bc98dd947060636b6e7aa164f4330bcbcc90ee538e4e79ad947db0562ca173cfa8fed91d9810d7275b7555450f8ce12011325f9b1c80c550d3e
+B = -3a43e6bffce626583e2f085621d733f37181af78964f314145855f1e4e27b798f2f0917d032c0a597ff10ddf88c2791b773c6d71e203d1e2dbfff279c836fcdc66a04c8ef8bfc6f1c97c966862427649f81f39a443b22764d92e048eca7d5a51e7b65d43d71f85dcdc11c33df524a08049b273c4ef22f9c8b2d051bdb6c81a4cf11d16d51eeb65da98a67b691e04cbe58e0e0a626bd2df2352e95023ee4983ad3924895850fdc9ae9c
+GCD = 1a0ba7d8776db0311d7dfbe98b7f23500737ff2dcfa0a8acf3f9865dc60b784c32535fa94a82e1606a85e030a85f9c533a7830bfa28c06cfa1a8b0ceefb0e5667e8b1dc76044730c67ecf8c1fa187d1fc834ea4416
+
+A = 13ed6d7e4fbaaecb55b4ff46ded919dbe0f2c7e56ce3c4e1af4cf69c2bc72203d53d3d5c69c86a657ac7588ea974d7b9e9aabaa4adb2283b516b7ed6e085eb252dfaba3e2c00bbc9f76d8f13c0e9632c3d3c36c2f54d81ffc51468b959afc879c8a508068ef3d0ca62cf1cddc2dda21db307ce61bf078ecf7a10221ec3b40bd844865e6661cf2dce441d3919fe754d541cf125360ffbe6e318737b71276c3dbaffa0b14a29726a646c6
+B = -1ed4b89fdd2fb106a910583fa7dad5600717ce9ecabbfcbe39852fc080e333adc207a76d86218991af8e30e8c2e2bb66a13818c89a011ce1d0527b97c0a9bee9f8e8d075f0efdf3f89f75357800af625825144a3f38ef557d859d8db501a0c02a20c7d66f2d9e34568dce38697aaf31acde81cff478a5147172a5c05da104b3561f72de906d3559bcdf274a9070a780b51ab6c1bddeb86ed85cadbc1594d98cea4fecbcc3bc39830f28
+GCD = 3e7a282dc36cc24335061d1fc8590bc0d3962340d963e483f0adeb28cebe9471db408cd7cf4548a18f60a7a888e62b25736b8dbbb9b54faaa492b434487717fff68fae0a26749a2e0eee233149d5b7426797e73826
+
+A = 5e32469ef3b5820216d038f09aa952118d19ccaebaac236cb258ec5dc207ad14c3d2ce5c7d932a0a0a4d23c75cfe16694d31e0442fb2c6921b7e2270cb7343afa6df33f1a2105a0a5c14dd5bf4b8b6078b638cc868039c09df400f758f83e92bd7178796471d997b1ed05bf555041834f96f630c19038847ac7a9e485c10f220d8218909bf958cadd3e70101a1fc4e3602f10d8efb047b8fd5ca4be4f74806e9ad4e4425b0c4d3d594c
+B = 2477e1ee4ff956827cd95304d8af3868908408139d2d22a971cc0f57335880da2ebc64404ed11a4430c03bba2df91e29cf03e3e1aa8bdc4938971d5503195e8cd18f42bb138d69ba17bd568741e13c3055ac0aa39bd6cc0bf8e726a0cb4dfd9678f598f95a15d3a3489e920ed7591df8857d316b74a2389da55fae8bfd13e05ada122e87e7cb6259fd5c74132f8b7bba5120853220cd7a72d3be6428fd9086f3385e6fa3a04ca5ad5c4
+GCD = 65a9c9d501397d080210b1eec9406e94c3be8380f53c94500e3601576e469e9aa5d04109e30435c693bf0784e4713a4338f6fd6038e8eddafdc397f9982155bde3ce240bb844d538110f3e8c08bbf56a033a84738c
+
+A = -2fdcaacd3ee0ed9032986deb0477b0b3ebb828d84ac4169c775d03b349c56bd9b8f69e442b85b1d339b62329cc129986f5feacd5ff2d844ac13270fdeb5a2d2b0bdc4906d2fa4f9c6ad929eec769c7c3e64a190cfd134922ab518fff3ba95d74f7b2bb78bedf0d6bd087219b4c87f8d7a24a3138557463a7501cbf5f89b24c254ec021a8143b32d90d15718f0c5b92b905847afd78adf8f54cba00b8328d5e2a929bd6f2d63b9c4dc70
+B = 1efe80568714d3521c9cdaf6bc2299af0ffda74916c4d7be1122924022c0ab8d099bdf52a712369356854aee634674876ae8176afb3aa02061c705ef8ca25ac7cf51ae01318437808f995da5df480def3685d5a59d222c316e23ea71bdce61e39c475aff1411223aa56668db2e55917b3251a24ed12b9f7d06c4028800f372213dbec3af023b4b9e4cab2fe2d92e5938f3212b22bbc3e3580170c01131d7560e673284733de8eb463ac
+GCD = a26b42b0d92547b64c767322c057b9f652c5a912696015dfd74215a7630f15b7a6b10b1661ec955b4ce28a1f60696d0d168399fc3255460e9610faf09771b14e8c1528ffc309ea53f75299d1e8cb649dc7a42def44
+
+A = -5842be67889bce1fb7d42b76bc2bbe12fef44783beca88448b188baa4e8c5d156c4bae8bf5d4b934c92ccbe95f5af56f01882f5c0dca424684031624284f8e28de29db3e66631d926a43b9b762890daba5307de86871579d17fc86bcb1f94090c8eef033d9b0b140d0957bd542cb0a0f2f6d231a0e464a4b1d6dc0de77e7e8b7c9ae79d5790a011ea64566013210fb5f9d2c2298985b66d84b5a910e1f42cc4d979474d81803aef5710a
+B = 35835c55f0ab4e9ebb1494b34155b75abd36b627e921887a6a45d4d0b1d48e994fa4818bb9b1354e1c4a906dcbd7ff0d76b35a2cef15182a88e69f1490d530bf00446bf6c380a1535bce96aa61513a9f00d3c4c9426c69e9e3baca5904f2aba102fa72b8e3e8d4caea9ce98d7afcb5298e74bd0dd7e43f8901bb28279c454b27f8ab0c91859dc5f813bbf3374b7def2b4d66313f8a1d2bf6f854b3eb56a542b811a150d4a562de412fc3
+GCD = ba8c6a5f5eb53be4bd364e25e51f4737d19eec142fb2c166b0e4fdb4ec39c536f64b5efd50fe178f00e074f7f322a5008f47028330a3142d889e8527718b95f53c60a1e164573cbb932242084b956b21b4c33a0077
+
+A = -1476891f3236397c1ffcc2bc68ae74588cd68b28bfce6f166fbbdcdfe32a380733198c60cf88bb4c5bd6a1e3ded4c8360c6ac992bf6441c097eb96c0cb73161cc10466f56d52b1bc5d59a5a21dc19380141344c11426ebef7abf8515e362eacc0d0de342a379fde5b6ba69a1165f1e90c89f859cc25c17d3fec12463c68f23be2d4adab0ced891e00a3ca8c55c73cf0edf1477f7a7721b93aaf017be06a4efab66e37c1482f972d597031
+B = aaf15e5e461b0d5d6f633c887a130a20e896ff369a270e0bfa19bc870da38b267bfbb108e9d2a96cb9ff568987030ef6655d4025539e089d5ba03466c45fd1dd470a86576e91dfd0fb51dc32ee49503adfc77e7daf5b043ad18acaecac3913e6306569b936b624ebafee95eb0c5ef3434d761af8aeeacaa7aeb5b122b440a345edc3dfb28cc3457540716e2cce85114b11c31a278b6183174dafe2d8d42307cc02a913e0681ea413fb1d
+GCD = 16833db0ec92756058522c045d4f2a329da0e550e8e1561a616930d423b40a6349acdaf9039252675e468192557ce5a92cf1f8b86434e7ae6532cd77e2d096d778da6d5af877bd02e5ec8ae44baa81d19722847a993
+
+A = -4b34aa6c23f237858074feb32e348481e84337050d59f293b215fb5b124ed42c42aaffee56eb25c3277f42ae430fc4167258ce10365797712b99aa54a3fd4c33cb64eee458d1e03f52ad95a444091b69b6d0e4ffe455ed28f5d47ca0cdc874908aa48702b992c1285b03f7cb496a61568805db6acfc63aca1f7dfcc9036dfc4a96b90a83a95749630c86006e2d9b839da42da040360a86834a6e2decf20dac1a5ecf5e431d227b3e16ef4
+B = 38d5891e540ec23c8ecd5ed9894f1e7fbed95d0efc4f6f19b9fa688f217162b4d2a242f88f85cabbc94fd20418578f0a0b56b89b68a817223304e42171ca89510c3c97c9b0a1245a5abec9164c3527d26d4293d9fc12502860f49fd50e4a9d2de261ed092b4b64a79cd9531912ae9ad00da267734c86bdf5edf14e9deccfe8d25a70aa9ae6471bd2d76415898c9c33c1107959bbe86139cac02bfca88aaa65cc792d5a3c53c3f8a3eae5e
+GCD = 64f2dbfd8186bbb73044c2bd67df024a0a39968d825e1cbd69778bd177d323e046eab2aaa28671cb5a17f58bd0ba42129ada2f71767958e13f11558c4c2d995107729ac18efb9ba8db0b1faf7bfbdb24ace3e391d0e
+
+A = df51506ac722b32ceccc6f9043a43f01f807387d6e7312a5a077d59bf06c79dfea0f999ebec31d2944f352052b1453f768a710e8eda2eab515811601bc9e0e1df07268fa0dec7d080a1e4b43dee39b4f24f9bb408b6a78edc80a4a5bc55345c1cc8cf425662c259cc7998a0465163044e238559139921f9258a9296cccbf8a48acd8251cb5b1cdd5be58278d13cb91152839b559ff3e11d58f88ac6f1de49c3c499ba90575b100274c166
+B = 15989a29121ce8dee3416cd6a4e687298f7cc8b3028c4f7b9ae6309359ac20fb3b9332375fa5e2c7bf3c83832ceed535ee976ba9299a7d5fa76a6cd642f30060c60f545674a1cb481eda0db82a9fe9e9af21ef376f135c7d7a7d0c8e7a3240fe1c1b68051ca5e9e2af2138f806203fbcff1c86d8b2c4e93f1a698ee23b04d8de4ce592fe3ee2566ea9251aebc09841b2f09919aeb66a5b9e14853627999b1088a0ac0b267b212c99cfc9cb
+GCD = 5a9021a22f75869728307397d0d910f90fd2c70cb770276375393e4d3ee350ceda4e2dd0a536f1429484d56e1ec976779f59d3ce9216d8d293c495601b37ffc3b27b44f0a11fe53d67f3d6c0412b6ab8a7d7970479d
+
+A = 54ca782dbb149cf235a72d5ad953629638d50028fdf95f39a94e6294fc75e35a067b490165a6000aa25db6ae7f2ff4cf9ce2db3be65ab7cd7033bd2c7810a7dd7103984f4d3a7298b072e14b6f78d31675e7e71efae369685ed74fc14eefcbac9fe9273c3c8a1a79ca7faf0eaaa383438df0be4bb96172451a07e4e7b73ffce7b9f6c54ccc4addde5bcfbcfef9f482beec3da6866db40edabdef3d22db8e0c69a8b6c7402e895e336e4d30
+B = 631cf572bcd91f01b112fd347ecb9ab43b1600506c7311d1335119eb7b9196347bf298c62e5ebab1c20b8cb24dcc135a24686e0342418444c5d7d490f1606c6d2b04f8f51f70b8f24849188995c36783487152be62e5353af774bdbccf9d4d59a0eeae78fb957cf2f1ba2753f75721e3f133006c779359b5e09e9aa6113a13d15550deff0e336a6c52c92200fe9f3a464a71e3916627b66efd74eeb0aa7e4557efb1700a87e0287f69bb08
+GCD = d705cd8fc62e0eb5777b81893737de088f1b9509e0d069593cdc6f8610f117f99c40b1f2427f23691b538977708d64deb7aadba10d97bb4bd8c09d40bb416e7fa206673f15bbc1be779ab35372d26ac07bc2ccc55e8
+
+A = -90eefd3f9978e7026cd564fceffced2455b2c42e61925040c7a664e5549c748959bcecb428df43909df652116373ae52c56d7a10c578ff827f262e5aa3d7777ea80e1e8aa7ba650f819e133a2d1a3a776a094110ce18797fdd4513b068d1028e2089bcef766692a43419e3468d8e9a36f7f54c9d3a4f9bf1d782d77481f2ecf56eeb573f2022c2c094443d84006f1185986f8e4194521efc02307db9b2f3e1b2e0ab288cec3b051132577c
+B = -b5a7f20766a8bb9e30d67814685c0ac3a3ff34bbdb42215df89b039683c322ecb6b15799a89b065366e6b458a87494aad80394b5f8aef440261ba7e52dcb127289d49cf2fb9e945faa6dd7e0d8b846573ca6063b040fe5a932128daba61a5745a6f71dc8b6d2470fe90f10eb2e1b09042f8a0df5213f286e6637a0a6283dd57b5a0c1d1e7d83bc50ebac864dd974e0fa2a215953fb92565fc13874782f858e6151f15900008f2fba6180e8
+GCD = 129103ab082602d3202c1a50cd92145329f7d6c09f7eabaee0ef9e08c63bd6459c99e1358467cfba979c3b2d6e6d3c5eec36fd079430f84f2504756b77a58e2450ca0404647ac7f35f54fd8cdbdcd0c03a38400832a4
+
+A = -3eb0797b60adcb6e3d06ab1349c9581bc902d88121d35c4bc239317809c2322cdfa0b48769163e1048948e91b02e2ca69e926ff8ecf6a9c3ffbdd5d8d7df8774de6cdc2e50133c6bbb570e2a229f70e3e8e66cb4aa2c4b5b0fa905e7c6044dfb791d511e5497cd69d0f4628df2d0825208111b5214e3e39cc24edf217e9fad07006c0f013360d3857141d51bd54c4ed1b23c1f3de576d4b46aa990530d9e5b9f8aeb556f54eda909a7b07a0
+B = -3123a6032a395a916463928c6a7f40d6c025dafe61c9477772d3925b68c06eaf6c1a31ee9ae6ffe24799bb98aabda4b6a4a6616f97ef82d703d02dc70b0bafaeab8d171f679e465541aba13125c26ec3f802ed981f40d8c49d507df2e5b84b9856c4c6e803908ae8b564a757f288fe302f4b9180bb681011ed206c237f630ba16ba38da9482975f579f180f3355f7a94b21c66358e33b90b8aa1f53ed5b0b574881a53cc9ffafa69072d7be
+GCD = 342bdea8d1318d08e1f1bf411de00fc3ca4372d92ee3c3fb39e590e3846d6e52f2499e06177868e4f74c3642392ee63cb5d03c399379efc2d14a75a5793df073d71f38c6bcaa056bc7c69f4c1de86caf803ebf992c5a
+
+A = 45814cbd75809f9295b893581d7be1d6c393752e584c296bd9998c15c494522262c61a8877f39c0828bbedd02531617a1cc3994a276a5252ab9ec34308158f61725b850405c95a427171a0210504e0980fea788adcd263e3721c5bcef96fb5c93e6af7a9452e88524dcbe5c40f2d455f83f8e900825efed45c731e791f9ec4be612c63af7da4b7fa4dd7fc1f356fa286b71eb09c7deebc7de6dde963d2841ce137d0500e3f9543d1774f72c
+B = 127ba47156cead29569dfd8f07af990639a55f67808928b8273dcdfbb366ba298c0742456c2741a5af6724449755b009c4b4fa67dcbd310d50c41ad21d9f2613489c4ab76f6368dfbea76306283edda3383698d6e578a0bd8e477f4fffc8f2aa9f9d63f51c06f3cc448dbde50d9b08e43caa23c9002c29a44a30428034799aa226cd427d282181cedbdd829c3a20740780f682bdff71abbe367abba8eaf6b1542c7aa32f473eda7c8493ecf2
+GCD = a4e05cdc8288383f74a35e7300488fbbdb5e7ef5188067bbae47a92def0549fdf1adad1c425fb4ad4dee817f7673b9733b6c9f9d1f1bf2ba6144fb5722d276e29a13a4073c2c77527cab70982d0a06135b1c7d24baca
+
+A = -5c21735fba18eb16703fb4c9385fc5d9bbb68700685a4bd84048be92b330fbf5f59133bfa60a6a28974d85593f674f6c4760e49b3c4e9f930fb18a232b2c7450633c78df5797151df6e75021966c0ff3285460619e056c2b794be9c9051db5533c797a53453d759b89ba8468c5f3ea6cb73da398637b36727fefde474ea97b621589f8b27c6c2b1a3cd94d32b20c2beb4772ead066125469a21bd12c4073cd4a52ecd53226a41f01e6a8fd6
+B = 4cd41cb97102170a8648c96e2635f879cf30ff8af6d2f5933f32eec937ec6b65b5ca0c7bddcfe5b54d9a1a37a114fbb4e3371c8b9eed1d348b48447e08df0d26013fc27a42b69251f0131e9fa2b4baace7de87b18d0e1f3f9df257dfcfb6a942f94408fa325920af7c6512eec710303c3f1758a2673e4191066bce31ebbba9bffa4add667ab959bd32144de805436bffaac1dc6d2a710d93fcfaf071fecde34139b9a5c1bb5d49204b09d83a
+GCD = eec7c90563e8f623b19c2042902b533ab865096fc43abdfc93249badfcb52c43114f8b9738e0eea74d03ebaaaee8f2100445b3522390971b7bfe706708056afebac0752c31910d43023772ec42b025f3e47434cea472
+
+A = d9f077b46fa50251d9f104212bc92cf0e915d90bf24caa755f1453053607dc01fcb874fc12f2f53969eee09716563ab98c354f6f8cfa942db8c7bfa8e9ab05a1ee3e9ffd1a024f3070c6b71a9a9efbdf081e8a005480211e5563bf55f4ef7e8d387449448ee9ff65639d6ef1a9325f51e81eb15e81eec0e7ee34d76bbf53915a46764b9d80b1e1211610902991e56797d3a387a0b87e51d5904880a3ad924e32db134197364829be262a65ea
+B = 14077e2c21c4de0aff41a68c2fe31a5312c59549b8ba29145ecce53734f55d7f858bb39a75c59574134ecb4199a81158155165f0eed2383fd26410b9140adca64e13cec7518e0db3bfbe1d51714e58ac245e0f50d0a1e87eaed5ee01dda2b4d2a8c8e37f58e3a7ddde2ce6348413d67b40ccf364a9b79e4ac3391b60d1ce31a048706477c21d34d802919fa93608aeb7e696aaa4a30063ed858d10d9099737ca6d2b06bbd729e16f9bfd92f32
+GCD = 1a1deec0618b775095611d906b9bacfae3ca7b218ecc3c16d1d32b52a15d420278b0e975d8b517399169ac041fa07173f8df266038b31b0a49c5ebd9f7e8baf238d8fd8f82854c7d4257bb8ebe72b8828664195e8504e
+
+A = -12cf988bb4fd24c883dbb33a3b3fb8ce19a9224299738d3b270147dedddf45f3a377fa491ecb1fd7ad9f9561d0b074385265c8cd5e3715066b46e33433dfc806e5110d49a8586990ede450a89500b063325566bf53a69a36ef945031f62baa28938820debac55b1d6fbbe41c13e7048536d1340643058639bec3f76d3841a788f0b0d6dd44a30f3146e794b1cd33bf32a4c4b858bcc6e2e2755f0d5957bfb9d97212f8781eec339ebf4c683d7
+B = 67cc4e45a58376bb9e4a1ea167a5c1ebe360b52734d9d1378376386af1d0eb49f3dbe7773dd6d4d960ad3f72f7b5a65e0016f6a7dbc539db504093a4a91a3a12d9739aefaa428a731a7fc85076c577fa40f46f6553f0c34e29d9b1e8f175c75090a94c6893684cbc13f8b9630d4a4da114e501072560090fd6510fd8c2c5efb977440bc57afbc628e31587d2527a4cd651d33b8e12f09623f00e7cab719dcea62a76fa2f953126ec0dddd6d26
+GCD = 3c443858e9810b4b144aa123d5b1393e524114342251061d0cc27bce4358b67ce0b88b5ab7c170c09aa5b2b85617caceb814482d90bc605fe9c44f3d5f656e280ae440f9bbc9d0a0b79e8d81965b8e98f579e62d92cab
+
+A = -fc6b7a0be5a94755e9ea7bcffdda73effd9fabbfad9f8025cbacd7ab20985e32df1279ae5306ba4ee8cf31556d1191fad3fa8958062646b3823be82c58dc1213d1e58ab7f72723c22e09cf751616081e97af353590d51ccdee98103ca2eeba50385aa1caa9e2bbed6614516d90ce3cc9bd0ea62280c2e491e612737e1f82ba660538e32e6fbeb06fbed413ca7046aa929464639cf923fac22c610537f1681a322939542a75db3717be2777150
+B = f7c3329cda5c4ff7dcdc1a482b64ebf214b83ea0f99f85ccb1803fc2f2942a93751a26073c7b082a517bf6147a1e557be1ef09872f2c7cc2fc365fbaa4695d876da5bc78ee6c1fdd5d235d8b48d91752f376b1c979958a8badd1a5639c417cbe6ad0315dd201cb06d885fd44021600648524c6e36f501fac9991cc30c9d49df8552af7e8789aa92f4f46bbb15a6bc9be42f1c09e61387595efd1de3cd51b0672d4a5bbf5102515a210b2262ad
+GCD = 7b47800e39a08f0e7c51377eaca79ed2893d43ea440b9346d1d7f2359cfdb11f2800540e87747b006fcd55891743c76c962dad774d1c235252dbbfee423885cedc4015ceee1955f9b0f9a4f65e87937cbba032d52ca0f
+
+A = -517fcbf7ddf911bdc76a2c2d9aa9706e177f73026a869b7e076cdac4620f42dfc24c3a82ca58f968275374bcaeace8fcaad9f51f07b9c1af0de5e47b344820ebe279736cf39a5f4ee87d3ed4e4fbc4d695272a5ca8a5e0138b5aaec988e0ff84e33a2403248113c9afee75f053401bd04365c3aa4e0d8698ebed44b3657d26c6cc9b157f91a28923977e756f6a6755f722ca89f41f3f7d4659b8e20996cbb84cf3f4775310f255648a5af94e8a
+B = 2d9c3ac886c2b29814fb18346d461bad4172551b116f865f79f36f0045efd75bc8137845ac949c05c68f42ac9c9108c84a41b7005e065fda1fe5871fd2f24407d438b761e58c38fd3c68249f383ced8801a64161b609a57090ea15171824a69a2df751236e44bab6e9e51f3db0c01e658d0c1a7750c88b4ef6c563575a197deabb77f362ea53bf3693e6987ede05ef1be11368554d57a773aa85fe983c05f0e691819d5b218f5f82f1e88c9d3a
+GCD = 20d987638d520f54d9913104ef61bdb757b963c876a33ca10a13cc1c6f52771c8b45c201821c23843496b9f0138b9142d28676ecba7781ad5d1bdc3c80590ba5884db2ae80de69bf0c8d40a47a08805cbc4fb6e010fd06
+
+A = f151babed8492ea7e232ccf8c29d87fe30244af1efb4e3c696fa942425bac19e9ce6cae5a9a6ad774d56ed57113d459b7b5bad715a8901b92868acc4bd5e062ed60e503f510bd41e095495b31d2cab9a43287b97165bed0f7d0f6e33e0a1f36cb0846f383d7bbb1f9cfdee7f2bc4588a8b938f4a75c973689deaea4c4a131c8d83fd168e54b46d9633fb619491ba4794cb6e550646097dae9fac47e8241b87238f0ba69151d50c92e75c4e55b6
+B = -e8c75dda971d38b171c1dc2d06ef786a768ce7398f48bbf29761d6d666e9bfcd101b2a75f5bc191866ea3959de2cb897ae099c9a85256d5f033fd9c577318c3149678c7efa84e667c96f03bc5e95bfbba97d039bb78a32cafa7da697171dd1c03c1a1a616d3e058ca3d408a4bdc33a577fc9fede6f2454bedbe96ca9201868784d7ca5de50283078aba9f583b7c8e2d16d7c013b71b385cc19291b1715a8ef094f743f380d67bba711cd76122a
+GCD = 28b4425a7e9ae40b5545c3bec259517689d7de9eb32ab30c4456c3a183b023c0d18d71d86a35186ce264a3818186ed4dd1f952e2dfa70c60d8fd7d54e0099e59d4ec70650764d45475192cf1df22a7de28314c9198546a
+
+A = 2b9953677d97ac64a66547a9f213f56fae7f823b3397a841f65c65362fda0b0949fd99b7e3eec69824a15c1fdbba93c34bdecdb35584ff1e72963ad0f0b34393f731a54c5bce64b800c1ce97aa6744d256632fd49e532f72ee415658f4ab4e8c0c0975077d7b0be468f7302232f3895576f3d2b3b6c59ad2c0720c3a874ea86e2058ca5447af9df8926fad08ad50bf87ea7e8e695780e0deb16471680d39c25e78a24daa17684c10724f0c4942b
+B = 2b6b2e9ef5e03265ef9cdb1a53ae1e8120480c9322d10541c7f340fbc93684a8d95385e1303c4f5a9b3945b29287d429c8e1a04ba97e745a94c8601062b35f797cd4acb496a592fae83a015c6304c5776b2af34bae3e89bc759a4e50849e50520b8c5d8036948a2f963627d5fd76a6a87f4d2bd22cebadacc2eac012c0eba091d309a0a7c6ecb1d055885a8185343fcc3ad1b38ae10628ab1d4873a2ed399730240fd903ecf813c888bc45ba3f3
+GCD = 21d3f3e89c28feae8b54b0d2d137d819ab388498ccc713efe91cb2fca6ba2e0a876e1796a1673ef65588e0bee1b169fee00396cecda8ba94a4b3e4d2972eb8bdac48255a0ce2359f84eec2424433a2df03b8c72da596b7
+
+A = -1838ff2d0f9345a61b45acb7016d2623c8c422165d1210b67085c076d0fa5aa5fb7a549c6f77be830d4bab730c60d721a4136db218c9148af88542a5883f5218e84e2743a20f83632f62e63bd7ea97b4da64138c2dfeb2f1e257255429b1a917bce75dbebc14c4db30edb98fa186adfab94445a43927728e963c4b53176671e269fe965c962d961f42a5196ebe3cf736a8cea5bc84454d658c79c07b1329b57561ef83e23388149bef2499a2d622
+B = 6ef76d82e4ccdac702e4ba64e6f6a80bc29b3e62123daf1c3e2bca81301fc20cf2f959b59c36487ae71f7c1e7186e40b09df54b7f5553b8fd857108144768973746032ea798581122ecad5fb8e1450bf41a6121e5451293166b5360171b15dfdbcf87e6edc6c69e852dcfccd48cf71a4e4562bd4e0317c018b038e940cd943b34735a12c7f5477087b1166a4a6f92fe5021726f296c5b449499ad6ab0e7b88bd14bb9935fea7316ac9dfbc322ee
+GCD = cf85846c99e5cfdc51d599e1b8c8816dc09d7ad6cfabe3aa8756afcd7169dd5cdc0b9d088f33a70891f7cd0d488379c0568c8536aad394c8ebbe91dea92d7fa79560b8628e095732adced45202d22024730bb223651f72
+
+A = -2102c4ded42c24beb3980b71c79cef56612f80382e1849048a09916238a7745e098726ee17b06835fa10fe3128a87d224dc92018ca048ecd611c03a594d5673a987e78c84a918f9d2b6f3eff39260eed33a19ec5d98a4398345d53206114dd97901bc1dce8c8ea3899cca0eb7f36883badf21d07593e8b167bc191d93883583c0fd47ebbc5665f5e423cdc5fb2252fe26ae1c06aa92481d1e49ef4c0c111b8924bf72706769e3f0bfa6d6a138fd0
+B = 3ff6ec2f168c0c153570784ba0386734d1e1ffa0c8032a3db7afa726db0e700f4e194a534cdbb9e0844759e6c85196195e61f47744e7daf88d8b96423614d761156bb2abe2e4f7b9c2d8614b89c66c8389bfa73c1c666b0b4c60a03e5ba47621f8f6d07f9a71614f7366a5fd28c620199dc939c93a15bda5fc6894bb4d0dbd46313aab82deaf307e5c4813d7d6b89d692e8236fad94219f688772eaea386b057b299835a0a55f88856d59a8f2bce
+GCD = 8b34f3b4d9e2470da5fa8439f7c118891c5756ebe430291596acee659746ce6c373db19335cb9637c53ab56439d6dd3804d13ea7145d6959f09a76b9f2958dcd1d97d8ecb39141d1119710a7c2a67dc76f3140c9cbec42
+
+A = ea4c5db4a2b1a44ebf308d4d0b4356a791c5c939908916dbad298dce2626997d04cacd64a27ebba484ca53d406fb295099631e18c75c0714b95c30c4752984bf99d6df6808c7f0e87c173416d1bbeea89e13bd7ac23fe030c53c6e1ff2c9c0a866c8e4455c83759fe3d46fbc5757764ec662dfff01c36af9b58b83ecc9014e1232099156f5404a07d4a04780ec77030a6bb10f62c74204401c7a1dc963a53fc41761b7f01d7a84be385bcafcc4b2
+B = f0d774c287edad48691b027e82f185ae4bcea11f0dcd4ec0012eb057ed521a096822a90691955362338b56745c0e12fd308728da6bdd0f173388165c8e84df5f38b8481bd72dae0e8edcce07f60fc44ab1dd29e7a415fc8b24e271d45e622f9532b79046e1a734d8deb5b5186b8a35bde666c1082125495829a24cc5568173e8c12ec41c76db77b2aaeeb15e7dfed1c38814da2f81da2a0b16ca02fb7ac0f039e841cdd9c675c980494b256ec282
+GCD = 119d1c9938d9c7767e0fa7b0e1b2b155f7210352d87a9b1deb34aa3baad7b186f0fd95d75294abf1466e57f475226b7024b5d84c55be21238e6e4082309c582ea2beb2c1430881b0e846bc426b40ef4b6d0883b6ee3812a
+
+A = -40524f5be9f7a38a393fe5223279f8a0d0a1722f791e387debda63c787bce1137353cfea792e7bae34e90b7416cea44ab86a912556e2b852475232358b48a97b0227a8f51c7a7e5b1f81e2c3fc21e370a69f9ecd1ac4e16eee76058fbebab27158127c311f0ea72b9286fa4ad635e077ab2bf883583618bb3627ff0636ff7dfa4c76b95f07d1e8b9e7e2928fa8bf20cb18b23056ed1a9bb08747604eb6ea76eaaff44d65a9df515a807480f3ca360
+B = 19774ba7d9e651fd425b06d2b6ba6c54b7cda9ca41b295aafc7288f793f242c0154003a931e7aaffd7d177f71ccc5b540c96947c7e4c7cf7d786f4f88f84f540b1e8ec8919b5d2b47b1f46ff00238c10761e16d69344975efb4083f11b7e502a64475714ace7424e41ccc0bb189f5f7a266cbf45d7fd22c0c37792e7cbda37fce0a38826722f186275e60b756ab47ccca5f12e5a0f6ebfc8df19c384277fd7ded28cc59b215866cfe0a4ef028f640
+GCD = 74223ec11152ca8052b60d4fe3b42ae095a49eb01724da91f413fea833f89c38b2b3977c701f411ebd8ef7a4318649ae33dcd2e3ea71209c43aad07971ca612730396bb4ca2da2c74e2bba758b5b066d8dd2b40aefca920
+
+A = 42bf75ebbb33feb9f5ce519643e3fdebd64a4a535f1b2d8b5d224900e62a4306a966899bc3063fd69fa6120bf2fe7257d554c574c74997f4266119b6bb0ccc36c03390399e5536800274d3f7560c32304b33c41ab17755ef47e5b542d4646004f765d4b0d0a4c4f29772ac7ab18656a5c7d7edd0e84071a731bd1f579c13d5108bbb0550caae1c16b8ea3a77efa3e0331b260d118332e261b50f16606403de300ac4cf76a240fea066426f706bbb0
+B = -135afee71965b61c57fba34721d9acecd571faf57e88cbcd571407e1ab9975790de9799761c831cbd3650fcf726115b668d458b6aacac75fadfd912f5b7c2387b111f1606548cc4a0d43c0d75ab3346a610d3ab519a4738d3a39a508ddb823796a93bcbcbd5efcfc7980d7d01faea4b7df352ee4e358c0de22b6e6f8bc00ceadcda808afd372587706086cb5aae3a077b14f234da0147f38a00e0be8d83f7a2e9b947aaa1afd5e02208d566d5a6746
+GCD = 4fddd64fd66bc318a62823ec16745e6db02305975304c18940798b0e2567a8d1494a0e4f7423627bfe82a63651caa1ce27de17aa3f17af5f7280095f5f0f038fee3714019debf1df830c81ada139554ec018a9ee375f126
+
+A = -149547bcff8d0e5a0b0b81f05cea76e3f12ba9aca40f76cab4bdf5250a10345a7b020b5cbe228e6963d01d760407bd6c78c356a9ec6f0e7fdf1ec0243a4a198d65e57c862ef9447ba3c04fa57269d2ddfc26a0c87988ca018d71fa578e8b18f02910505ca8bd746c57c9e856aca9a7344c5cb3be1a7290237e99029eb34c9d6040eefad467be247a16247d9a2dc5f4450ecc9368715a2eaa8b82a9a0d95e93aa7ca701cc7667b2505b9927f22aabc0
+B = -3849452a433e4e3e4a319e25de6ff59de7342fc50ac5e91b68da927459d8a16d0137372d8e6983bd98efa87f2d4f2f558e73c4d3ae176d5a2e72ad3c3a4bbff768b972861df72b98d7bbad953c643bd05eb323ba41d2b243c5d862128beac9de8e3adb0cfd6f51bc79b9ea44083804fba24d29cadaae4619fe90d60a2e7535b0109f54a4d7a12efeaa5e64c5f8de5b629af157b6d3f61f92c15463bcbba18685ba536a58d8a9262db111caf5575680
+GCD = dd09d01585a80a29076270c63275ec42a159290ab4a7b7158a0b358d701c1c746fd9efd7ecb326ee3a106c8c651806053174b6b6b49b0d70d1e316229ba10d534f847a5a530926236d0c383fe9bc3564ee5f31ed4267ac0
+
+A = -b71fe85ef0334a769cecda9f6a2455ee32a78f7d513537a6ebba602c6b7b76352ac825f46abc4ee8d48b56fff2b4c1db159b3eb2be5b475e3e16b55934980a54b43a790943f6e39b2e228cbbbcb5dd588d3e4c25487e7b211d65095dabd151712c806e5a999ea3b0a3b2e2e18e71d003f931603e1991428cd789a99b72970ed0753bcb3e370399452e70bd27378bb36b8cdcb7746127ec497fd87caef4ee861266720a7a7d3254f3340a4b134cec7
+B = -884c8654554413e76ceefa384ef7241b468163cfd8eb3ea0dfad5153e0e1c697ff0277eb3bea62cadcaf945f5700479c5dfdde6ea2311a31aa0cf0c08287465f2fd7847f09c4f64d949fbc222f9755839fa9a91f039679d65c0c8243bbb557bab3e71f8261375d85111dca66889671c7ad5ceca083dcbae4ef7a7049f20faf62cea268329d2f64e2439b258546f9bc4b56181577282d86c1a98774743f9814c97a752713a50aa7ba74d0c65c548949
+GCD = 1711f74d5f7e6822bcad7c634938c9b911e93e33f21aa65f19ccf7840d5db4cd106ac07963faa6b9c6498fc8b0d3fd4cc2f9886e39a0517c3bd973975b5e6a800621dad8ed7f3027d3bc8e2f05962f321809055655b7d30f
+
+A = 3a35d91e7cec417f0a499e734bd4a562b9daa5d7f13908b7aee8aef3a492fb56fd67e26cd271d6cb9d9f469f5cb3045e8136d8335aba5be60ab7bd46b89ae45b062bd719dbb17690bb475b439d0a7a54c47ccbd384ad7ebf9924240bcf54e57782009e109dda8f5fa9483f972302fb211ceead34d8a9c13177a38650e92b86b09bebd9ba8844fafd3339b940440197a612513584b20a659203df192b2395079d5d2390b723d5d067fa61a55ffe1c28b
+B = -464fbfdc84431f7491a66d3652bb3a091653b95804f46ac72d05b6be4f57c622a7a6981c7700a5a19a847059cbb50fc8a182718c77aac51196891bc2ad44b450b17f0b522a36509500a4c806a078b7a03a8974acb206e0805e0cb23986a50e83eb2985cbd07059f196e8dcb9713d9e2a68c86c52885cf8595fcc587fbcb7632ce87a6d13a5830c2b356c2c591f5ded0d457fb21b3944c8382448380a71ef73c7d2d168e8e3fb5ddbe76c370e78a8ed4
+GCD = 273176accbab6342fe9fd769d3b996909579dcb2c5c62d627cd860b0c0fa98ddbab3ac0d8537e8e5c54a780efb7cd9435d766712a063222e140b7d3b25df07cfb545d6d8f58ead02ddb971ff5802840fa4b5a3f00a82e71d
+
+A = 87d2f2f88cfdb6dac71ffd378427d8a8209759f46d967146e105b498ace7c83caa65d1d2083790b3e562350c05060b4a0cf5d69fdf958b4b0a85b0cb05ded56fe8feaa82ca645cf278defeea795d6c4dd927301c55e557648888062ae6e8c51164a746d22f0be5cd45272cd2b5656c7e599ad63498fcbc6b86058fdb7feb92eec91de782db3e458f6925a254aac1726f5ee71ac5b55d29828f1d7d855007d3974695bb74bfa7acdc58c7d8d83de968f
+B = -4bc2d2b73b080665d5c86169585e4081e40c4d5f3c93285de57efacec91f2d7339499f5dfb79f68522e53ea5c98217eb5a7372a016e3d3fd4f8d93b9c45c2dc659511e672e095b8b34d4d66de7a65253c9a21e37d0d58ccd54172d89a93a1a99144ca72d49b3397b407168c27d64eb14fc1eb3706776d8bd80d189e13dd6193e4ca13a266c8819e81e98dd6115637cfa453e29eca559c5257f61aa344ef0dbfc3c2512e3fc543183e2187e079ea6392
+GCD = 75d638e8238514ff5ab0f99d88854128a886fe6973ca09b7c3bc4a6870c126154364e2d5ea25c19619c229b0332cc716f3ad627f4e8fa30b1ab82381b6d976125760157a06859e9b9acb329c2da24a9c719f0581235971ab
+
+A = 3fc450270c1d4a8868aa7090a89e16396746e4e8888ff6742191995cf54f946c6ebd6adb791bdc3d3c6954ea6b8cf9306ff53f8e528ff0ba7ae894281f0f7e775984d11e7ad5997e0b001d1e1bcc80b21b4974b638eb0365845b67927124c490e76b06d99496e55186ef037708307e2b3978a2dccf79ff84e3abb5bed6184631561aace89e517c86155761505aae3b2fa3dd3f08234a85f3278fb02526c27f7103f9b006a358b96a2e1981b6eee3d89f
+B = -2050a940e86713d32b8272008edea1d8a05a3bce12d3de892e346f24cb5782a87574e355a7dba28911a64ffea1442ef0c61c3cb2920cb90903e639cb34fa53d61d8f37fb891ef6ab8e607cea1fb9767cb57e7c2dc0e2e9385d8ce24a00f9e4bdf6442fc4be67b777e12d3df5c0ddc1a3fa2d30c823f6ee436ea7024f1dbfc6d132d52a4c18755ef5b0633e7864889e55df518b7b70f3cc522007212dd239178c2026c645c6de6ed1d153f77d315bce50
+GCD = 201dc5d87c92ef902641b261f6fd863685b73e91c2d7dc593dec368611ae717143f14def1a711f6a3adbfba78735aa79f6e56248b0ecba12b7d3174c9b2864b5ccdfdacf2cbff15dadd02ef7e739a5755a90ce03f7c246777
+
+A = e92650d273635591bdab110806119455b998301adcd3ac90410556b721af81f46573e7c432290a82319e76beaca8ff6a2e433e3bf22f2e0c84c97ba185fb5ee35af5a9569dcf8eb6053ab669404425fb8fd1cd3315bc282984e4ca86b4d1caee3e54e290d6e48968db98d157a1f16fe5d3d1f50712d2312890074d40607be414b8d3147819658d81e6fb61256126b31c9f2b99c2aef9198cc0c9530134601bfc65bf931ce094f87065ff2616f15ac588
+B = 9314a7f4de474d635413aa25d098ba32b6274c7aac0177f55aa932f1664cb744a9d61e665a76c2e73b801f7f7f4dbcbb4bb3779dde12fc6654e2efefe6691a0f521ee93f78415493271b7f8f149abdf5603e1464dac69ae0a0046e5c6b05a5b2ff8303f8eaf22c91bf76dd6047e07978f18c048384a1498de3acdf199f2ade4a42408dcc699688555c7a647a263997115c078a711c29ea6371105faabd34e4d81ee209228e127c4a0f5f7893060e1e54
+GCD = 10010eebf87281cade0a400a61e00b23dcd8486157eb9e48ec6bd919ad09434b2a1aaa1e603d95f692ed6d608b00cc9af8f7c731cf71946737b6c0905f2c071d347640cc1fdfe13d30e3f1bf58d82e107d9086fdbba9bd9fc
+
+A = 443d12cceb80bf41be0007e6e727c5468c3f4558d64442622d03748a00564c737e08f2c42c6f4c936beaab57387afc43ea9089c9b1eeb60b8b6843b153327f5a5c44b7fd73963a4ced84c3362d817e5a837c6b598d4116efd67b1dc94ffc462cd9baa03ce7a192f533dbbec6aef49cb77b18a82c87a163a8817dae9c028c5fa82fc84b82e1eb5774c813a5b5a81ec44e29a9ec7325c31c88517334320f5a254733eb1fde23493fb2cee1bd65840362049
+B = 36806b1a0cf2c54868c3cb1670d8504a575db538de8ff7dabf673d38ec7e04075a7796c9d44589933cf14ebfe95e8a47cb905abcca0bdede63f7d975d4395735cf5404128ab2a0a47addab6fe604c6f069fa5dbfe92c287dbf9d32995f4f1bf39fe67ef257697e895db6b0e453d544df680b953271003b2314a46459d17b123126a3fd543811affc9cf5e37f923a542ce5f3609f497506332963a93e87d5e2f9f3232fd1a70e608e604caf6a164788ba7
+GCD = 6950f453860b69135d070cad279a26abc9b3649230a809309521049b8c1a4c83f7d73140bb1dd6c6a11979e75e6943e716638fb7012647a6dbeffe10eb92bd8b5422626f02fa263a03c8cbf8c5a518461fbccfd207ae1dddd
+
+A = 108663ef079d5e2dda023320bfa0b1c1b336fbdb8d7ed18734f1ef91e255e379c23d16a2338ec8ec9b02a7099ae02fb463776e5eccf3108438b411f17c9af03cfea660a0d6d4e283496c1aef05c1aafab63b5039e491b729abe91d266f72b7cdb64bcef355ee3435735e7740aeb55dd939445d7bf783415dd55fea3ca26f159364ec7a0ffae87b5b4edf8d14ba02eeb4aa80482aef5491f84c8435a4285df8b76fe85aa2dc4249a5353c370df2befade54
+B = -14e2d1a6e133cca1270cbbb5ffacdf95695c8a36666b58950e20363065e93555061fb78356d0207a8be2c6847e464e577f13fc0ba288badfc26b185663d4cf35d609df7e08daec122793226bad3c125ab8e14bc3cc4b887e4a7a681ed81d7b3d0b715a1df04fed2446dcdde5375c318351be5a58b3e9da8db8f037743dff1e7fa39ecc03586c166393abe79090db849b5f9b33f1bcc88c4a57d9960e8b0482da75942e1bbfb3985ca00b3371194e3edde
+GCD = 1cd9fc043b5a4ca167fc896b5014f8cdbc9f7d5a693b8771dc5d3a254d0bd6fc571d01aac50a4ded840b184fbe95a3ca0836e6243aabe51b7e3d5b8dbc62004c6cb1bdd4a5a3a310bbdf4f90d3d9f2ab5f9a3546abae3e5d9a
+
+A = 270ceadbc88535bf0c75c911f2e2ccbc0cf028a9d0b721ecda79f7bb12c0e244a43868015d42cc1c5b45406694b49b54fe44b787d6f26fab0a6ca34d8f96c826a6d69bd01ae169fead3447febd39667ad0e3d3eb47e90944234160509d47a728c480594b54a4be1243436497812aa61aad134aae775927c4cb057965fb640cf71eb613f66954b41f1873cd4a5f83b9ae624ff842c9aa336a260cca41853b8e1dd7f4e1ea9ab441cd1779b496054078e5e9
+B = 299105762db3be09870c3a81c8da37aad1c72e5a756cb9c1f1872e5a991346a621092d622c501b387949425c26748c6cb6657ede3be6e8cd6c093a4b9a0233f49ffb7265a0cd18393f724c88944f913df01a1c16ce6cb25808ff5018c25d1cfa38edadfab9c4925988e5e02182e388bceccad20cc5da73a8ae479618cdb77b80ab069be5d9787ff5941e34892ad404758af0b7c26ac4fa17879e06e73396f0efed08f82c72c584c946d41d860edbefe7ec
+GCD = 8194356c56b9db7fae60c64be7249d44fa7f00259c3be6b6fdc5b697bca142efcc29fbd43375f66484dac1935214f39fac0b98eb37620672157e5c361ab70579a410bb79517058b9095101831a95d1383f7ad972d31ac2823
+
+A = 789c11be89f706751e9ae0a2d3e307be6b81023eb82e26088e83620016f58b876a57b5de15372aa555bd28c6a6019c84c67093fa502eb4ab58394b1a88083382ad92578496aee31f7ddc96ec14b64dcf10fc3c742bd71b5b1c7a932c18f6b9eb2be0b6137c31c3973a4373749e82991b682e4f646689597e58ae5d177f408eda0a6f28c75d7442ef48861ddaabeea6462db634af2d4970445175c27faa7e8fb807027d7fca72d629925aa852e75b959f10
+B = -1ca5f220917cd86ac4f852a99fcf7ef01114446681024c76f1f8d4d3cb3f596598807f1cd04f52bcbc33047137fdb042c58ac713c234d2d661bd7ceeb4bfedf14b3b73eae8e92b781f41fcad46df9ece8f294072f9e586e6d1fb4e13e76f79f31a67f559200705677c41720495fa9e9178d990c25913b19eb7ae2c3337f46510538f2385f6592288b498be95cf115cf863f991aa6e05ce8efce9260bcded59b4d1ec3dc18afd351e60bb415a2c37f60365c
+GCD = 1d24f0716fc0c0a903db6e4255a9029dd2e5a547457db22a846775cbfb3cf662fc589e8219039b24f693de57be12f38fc68b09dde3c1e8f50288738c625b9b2a6764a862dcc53a81df68a5b5005456f81d4d725716d1d8da5c
+
+A = 230121b69016dc721d7c022f1829ba2010e82723bfbdcd2b78e0ed4b4738b30e4c4efef3dcc89f4b41bebff65bca9e5258cd0eb3db39b17ee329a8f1a2d08cbf6049307e3d585815b7bc0294631974e920d3d383dedc81c3b5221bcc895187f9316eb789b1c4921806289e7371a4b2e20eafc00ea875a87025c40d47ba5826bc2cd382c477a72e6404aff1297dad01bb40df7791d1847d069e82ed353994d4322b9ec49d36644c68ff0d8031d2364046d45
+B = 39300819e3f4eb1820d6ef40bec89440cfc5b370e84cdf484ff4341da5580b64c4cc899abc254c188c495195a95438605fa3fdfd9ad86a9eb8705da86f2c2d3c5215a73c80327ca60fd7e277e86c5d2de85ef150209d1e3cfb465970fd354238e367bbfc3195dafe0f95cf3bcbf1da82b585a4836f9bd912f383d62757d8c02a7aafb0a0b0a84d27a2c0dc6d1b3f6756923c690688ea155ee35277178d2f8b0fd699f14866c93d91a084b0dd7ea08a489f6
+GCD = 237921555cc263469cf181ec0d5f1d24bb510b1b5d7f845bc604ad7bd4736e69658904a03ffdf46d84191a2dd1e064f6e2b3352a13c431df6dbc831c1082d69641ec709c28eb264763901c827a781821a686599e73ea0fe3bf
+
+A = 42d803ccebcca5bf684000da4d175ed7db1d9978546743658a9c06b0616164fd526d6358f9dc1bf95f84c7129d6ba3abc4cf2eebc09ae62af5b7da2abcb2c0844305ad5504664b80db990c6c8e705c4e36f1c0c3bd9dedd1b4491703b70aed602ea2c6f804da5f93d62fe7dc11ba8e0a949470251b5290155390ef7ed9ba19a122869849f8a57f7b488e7cc0927abc1a3a52b78a236558e379613e101c7373ef221afc7171dd7b9939750ba18281548c3a0
+B = 79452ab68a9d724b81c9064eccbdd3e565faf7130815e94ce9e182cf5a8d1e64321dd4f6bb69e05b3b46f08f5e1c262ab171dc3a2d35b25501bd38948ae2689fb4e847e24d4726e4115af4580a2273e38744b202adccf7c6c1f80f9185cf1ddf64a807ed84c95046bd4180801816b9f71f231a502efe5bb55e22b7fb6e76c2f4ac156c77120d8e4eb8b740aa05d2d29d91b193c3c828aa1398d014d3f707d9dd1eca3162a38ac480c70e29e230e4a5e6c68
+GCD = 431783dce1522a74b069a73dc23ae16f95b7dc0dfb7e97898731b75bad15269d0d06e0a9adabff33d786a1dbbbb2e0e75d6ab36d7a19c9ff70580100d6ec050fd611d5d7b35810ebb20c56dd61268e7fee128a7d7d82179fe8
+
+A = 4b3ef094190e5a04e9f36a79d85569010be600184b73bbecdc48ce4e30b72d5614e37961eedc406b21ddb903dbf61d224982759c92b101280ed4edc1d7d3828e791f29b0b6fe671b62a537aa129c349bf055c72f7ac44aabe989430e9119682d2179d515a7d03577f38a3ec57a0d7a0e173deed714ac6704bd6cfb75f462fb3bb0ea768ebe14d6e5a9c88b9c0eed03068d7238626bf2020249d22a360ba5bd46c071bcd40e01cf0439ada8c5a97e515dcfe0
+B = -4b5b86ce82f174b0ee6078dd1557625d3fa395105d6551bfe5fe025839c18962c77d4adcf482b1473e230594173124237db0c681b909d643b62c0a05b9afdcad02f6c69d6865b1c2c81d91f9da5dbabf5115e6a9e635c458706f675fc64b68cb041a01a5483cdea6f9f2fc71c939fec3624343eb1b7e04f82547d78f794e46005c7d3b7532219a2aceac7af7cf37b517151a67f265a19c9605334c9edffc5e57e96d4288c9f1c8218e9b77a90632ca111510
+GCD = 1942596cc7b9c487d7d1a8ce2a6ea63be8cc90c8f6179e3e81ca18f379b4e4961dd6293944a68e854ea2c7a784c4d8246e125fa58d0a59b38b2e3a9906ab2a84f1ae22cf7a3cdf1518f045b8f18be2ead9097d1b4b3c4173110
+
+A = -17ee9dd43d74259e4d3d85c68af8f0912bc628babde4bb96b58d2c858cea30c0dd16f6b574899ebda4431001f33f5213d1d23808d9825d57f71c4b0d9a8225f026c22be1db25f3ab027dd1b9fe8b03725e3a5a7d20b09886b0c1929302152f45b53cf6537ded2792ff07cf90f691982e2d6e5ce576c8f09ec4b15743077f24ba1045fbbfc1ccbf55ed137f92422e5482cfa430b4e11716bb5e9d480958f5e4c8c545b9a09395e274c117e3df92a82fcca7c4
+B = 5b3ab6bfe599072fd842401bd36aa227adb8f4bd64e6906e6bf129a1e07f58ba9edbaf1d7a889d06af1dab384d42aa34b3691bfbdb557b7a0debdecbd82718469791adb3af9cf3d96ca2fc6f1d2fc65ff9cc6fe9e4f09d169cc837e9bd1774fd7433c25dc4ec39c28aff1803c02e792ed738cc93a020efcf3b70a4c33ba37e7b4b2306c85883b4870b6e4ec64734cdfc34852b8d0b50037ede450f27ca154a3489e963ebe67daa4454ae6efdd0d3f5523725
+GCD = 128709cf00768373f4766271fc9c669fac66410f08574465e637ee4572e72c80da853158a5091a90bac4ded1bf4dc41fc39c3c51e5ef347e5496193b21011dcbf4a4cb33e7270ec94d04fff621a4a2022ff6e40de359055417f
+
+A = -4bdf6822716e69840ef4a27a95a760ca401ea9530fa70c350ef200b8e64a318248837e171a71ae7b1044924dc436c9490a3ccbed98c0a3d3fe7516e3f86835803a3f89eaeb5949259dc48b0ec2438135f298458d607d390d0c43ed3ea417cdd1cbef781b152d95dee576b5d061dc9dc4447c851c44a1aef290e471fd36e037b53aa8b4857e2d191a46bc0ce67301248803cc74541a21c6eb616aa9cd7e680cf516d0a5d641ef647bca10e20ed447af4f76eec
+B = 15b240b2e7aeb08fc4273e44207d0454f6a504b1fbb4339d2154a41567ff79762a35eb496edf22447eb6517ba14c76d183329199a800709fdafd3d1ce20a9b434632d8627a9064b18dee1252f333403068bccdb5ddc4301beebd8356ec244930e2bbaae9a1235ab66ffce69951b8e167bf1e4509babfea053a4bf635225d8c9de8a4c931d7053a1c9f14604a706037ff55ded8a41dbc034f2208891c1e8047b586f974755c2bce54a2f6298913f922c5581d2
+GCD = c71117ab88689f2e3a601e3be314a4429b25aa1457e7f64f59775ad83ebfbea271acf4f10907c32c9f04851088f007bd880c0e7ac543b06097dc5a7f16fb052a1071372c0888c36780ad90106c3ad71a663f7e4c42353cf4e7a
+
+A = 7441bfeb978cbd3807918e58634089c0f4c555529550fdc9fb9d3717dfd23e699d69c87d88361ce747d3f016cbdc32729fe03be0435f5ecf9e1b8bda1eb56ee29ac71006e60c25fb6fa9c15a97ebacf66574154b7cbc3f21f2cfd8801e760845bdfe6fdfb34061b4d0bf9b727fe16466afd65e289833290c1e07ff9e41489757d2bf1e6bcd50133d2398b6bda0c173cc998f63cc402cd4fc7b2ed04c441f615033123f357a7e8adebc6ea6cfe8138ca8ac2fc
+B = -825023e14739b4a16e28247e7df06d1565ff708fc924581e09297616e208e4995b880b60070714075c69418b2f1c957d94511eb21c6eb21f0368d24e9435daa06b0063491c99e521abd2c9bd71a84c773eda51c29a846b4c64ee40b7a4ded2f113c092e449a6ce13b69b96de8c9d5342aee01591301bed0720b894d138cbb713d768b11c9fb7371ba44c8aa4aef1c74802fef823a03d2fb70e24edabf3d183915086a5b13251aefe3f42b69d2ac1d4e779050
+GCD = 433ad3b37fc80411a8a0d5035148f5effb469ff5aca7dfeba449a11de5078e2a2f3cb70e03833c6b92dc34070a125426f0dbcbfe5f1c1db0856b9b9c1638bf89533009ee1c23a187ea4be5a4be0c716ad1370a6e27a5ed6a58c
+
+A = 291b0868208aade231362daa7fff8f803b1908d53dcf65e03b6ec332ad37243c51c9407abd507e8375a8c02b43a17c13459cfa07121480167420701c0b9da651c22fbb952b2456c7cd56b1ded9ff03ed9b306ea979436fea2b30a04bdc416ba6aa5f96ddfe249abff75b68c08b9b0d17eeea2ba6305b4ec9d3a0614498b553736f8a91ebd7b780c7b61596a062b7dbaa432a78b243b08e0a169083638820a4bdc2ac65f2e4b51e370e98f919ea4da43e528a11
+B = 26ca38c174827630934094816bf366b1a4f8ca2d984a5bfce342e44a4da4f6006f720c613408f89437fe548432f1e2eb4301855a8cca90a05f9a34e96e141c3f2cad75bc3bc7a269eb6b78d70bb8feb4e0a5abe968d996caba943201918b4329bf5adf5dfec5d9a6a289f316aae033e0695ea285701d494cf74bb6dcb6f7bdc5e0d36b960d74ad29eb7f150879317449150ac70102a7d00e4c4df665a5997ef401ad3a86b881212cb345a5dbf72e7eb0c9bc1b
+GCD = 23b564b1c7e4f6bbbae9ee90e35eaf70392601d26b28953377c0be2e6e4510f6d7b3fe3b1ceb0b596d297b539e99d300e07cf392162f186db73621a67b9a72c0520af9b5fc0a6b9f2058320a7e0c59c2597db64332f6d908afcb
+
+A = -af427e803e6a7f089efb4c6157d4e01eda487c3dd7041c63ed785afe3eff2332c74b6a2ecec6955594a290c2cbc3c602fbcb9c752c617152a10fe6b3b0bbac214662a09ec1115a59323c930511b28e426cee2d771bbf0045848e3bf90aa0bcbeee89da74144e900b9c7f38b394b1dcdb9a09ef8e0c5d4fa37e8c987c4319cd7263f8adeda55b732a92bccdee22ef4d2102dbd87560a8cdfb1dcf3a345e6de8a0b9e1931d316905a75f1b8fbd051305ab3bab38
+B = 10b1c679c818623420ed624cb3eb573612aa74cb01fe054bcb1a0e466cf937f2c4c4a2d494db69876135b8f7105cc833e2b27772bbe69efefaeeaf1f3ee522b79ab63f5df172534462559e4fad8b9fadd913386ca27e722be8e983368692017039b6f7f2ec0d8f4a0fc51ce9afc3a9f9f04a73d94e0841b59dd4e03656e9fb46e7c2feb2f236eb71a6e562cf87321795beec20611b201496b25738be4de4f77e89c8cfd77856cd6d8cff3fef8da31161e24ad6c
+GCD = 36813e6571e395a11bed781f203a75fed1dc3a7c2b0657f829c5cb9e46de166538118eb82fb9e56f4d711696a56cfb026be434c508f648bd5ee1d2a111f8fe59d498d32791de1824c434b91771c43805c665b6f0ee0bcfac16dc
+
+A = -485f6af70f3667e7411f3878331cf63faf9193eb22292a7ebba3375c2f01e4e9b6120de8d177fe7c0af6061337ee65c74ea47610d4708ec03bdec80b70053d72145383d85a4f1392f4f558e22813659fd8a9f76fc782f53f05f189457dd1ff3f447d2d34606bf4eb7435dc5beb5bebea05d3cc0d8d2ac26c6d0d8793d39286c45570b4a0079d0401cceb618ad4caa4be6044a9aaa17ae578bc9e825a5edcb96b40d998115bad40176d26822f3e4e37910b882ba
+B = 42c00200737ed42570aa079a41fe4dbf7d27bf6104cc77672a2d8e67a61a09a0a1a9ae67fc08e0168667e398e07cf7cabefe98e682d5e402ca1848ff1b04181900eafab18b1765e90fe32881fc44a4f078c4fe3333ac3bf6ee2b2f8df3716e15866d5e97c1a1bb265bce515f3452f1929c7baaae08edad473dba976ad7c5ebb4997f9529fc9d055a4c6dea15a968486735ace7690e73a6be694f3bf8e0a877295205c8bfa6563c2a7a149381f1a715bd075613a
+GCD = 2de678c56e39cf64c671cc7921df5a1f5eba53c19ca35eb568186429151d32e8cf51c8ce6ad4bde43641297983e8c3e6cf378cfbf50479370b3446d708606bf0063cf3050adb4fb519ba89e004a0d823b7ba41cea89a4af9b68e
+
+A = -1637f1fbaa7e162db33291b8f8304b2b280597467f208834bb1713af9f005c994c681cafc28697367ce01269af117fa3e2f42aae605bbb261e29892b44da54dc3ec24eeba23d8c58bd934ca6889f3ac42b8e6eb72fc440f5146226eded26b806c07d9f292b7d91c49cacbb1cd2e7a56a5d596c49dc7cf14ea1db77a4e13542a648820227e41a21167d9ab72b5469b3d789c6c798979557119c897ec58436c5d0f52e7d94bc9d77c9fa1f9a8e73a5c962f77914ab
+B = 13d4d0857fd2ee6496f1d72f7f523cfa95b8f43947dbee8fc380f05361046a52fc9f52afc31d2ae767ddceea47848d231ad4a7e424ef06416e514466e91a08c15054d1bee22953e56fcd68e19054b749a1391c82d2ca58b5745eccf69ae9d723996572ebbef091759f21374281bacc4cbcde3ce87b7d713a76a22b14f6085e91ff276d564778988de9dea6df08408e06c5f84c3db9ba139c8db7f77b97100cc418b8e772ee0d8ad5206a4c17cbcf1acb9f1d412a
+GCD = 5f055073079ee62b77ac3204176a691c5143cbca5851c50e554bfc0684af47642ad1a80e30d51337d086e434ea1606f1fa244d4677d9ab6b6df8f6acd63e81c4ef1aa030e6eaab176c848b65dfaf781c18f44cd070ceadb06985
+
+A = 223b096e8c446a32712c5668fbfc84de47617192d9ef4a3ba8c975dfdd128f356d654c8a98d9611a1198fb491971b52ce883343d5aec36b9be0ba7f668e3636996d3b2dbd679c144436f4fff41a8637f007e97f02e23002430c818e08f30d4f3b48f3d61212500229574e6d16087abc73675de0410d5b6b5845245916dff90abccaf564b57fee254d59c7556dd14149bf9e92f270a133be98e136d79962510bffcb78de42027e78b80f864963a70ba026eb4db04
+B = 1bd4a89040c7ab24b1ecdc71e870dc83af5a3612177e7dde91aa094f901e7a3691b831a54cc3a60b02595f77e590b25640bedd4f75990573673294fc53be6819f81574cb561cd8bc1467467881cc2d8d7323bfda55dd1e8236ec94064f6c3cb42ffa85ed2902b8a91f5a14d19cc1cf698f24d54c867c5fea84cf5329c991675a12dc2497ed66612701dba0a8e966e5215b745aa87d0bc52c5f6065978e02e230ecdba80933a356921e915c68180a71e2bb497a2c
+GCD = b3304b852de36c9961aea9f17398a985554abb0faefaf378ffc57bb9c598d664612120ca5f3a9250134b53df8f18c474cb56dcfc02b87c34d4ea4f3d46e4a7a339bf32b951d7902f072c7b82339cff5cfdf56fb6ab72280ea954
+
+A = -164f46663dcda80b362f4f9a88be0d3e579c0e11f3844ff8ab203164a73a2fd1bb3d609af800fc0d1f2e01cbc7463734f4229c9ef86130729f3d4ea2d787eb8d98d0ff42797622bc62762bed5ebf17226a4b45d534ef2c61564d2f33a548c302a7b6eb5cd4a3269b3667c0f33306bc6267b93600ad81198af2ab74fe0046683471934b50e0f49798417cca9557c68d1deffd3a3c0b7a4119376c3ad18f06c6ddc8c18f0dadfc6cc0b6f128ae2882e80c2479f8dc2
+B = -104d1b5f238e0e7a026ca7676a043f89377ba53988c078f8e5c04da805666c56932970a4df9939f3143e173f7548f1aec969b125e454e312b857055d559cca4320b470ac0c108ec119993c056adea9e963df92ce54b8239ce47e7de1af6e84a57f7aa9b392722495ae88b8f17a927f2d76a087bf033a97c01356d2215a75f7408e4354f1e00f2f1cb9e5f8f3df5dcb2c177fbdf041efdfc78f761f7ed1ff8e607456a37ba26266cf6f1e58208c9e53a64b5434b7
+GCD = 1a2d589712aee76b21e7da910213242aa14bd521e76cf949234fb137c5e8b679a27aba445186d4577bafb651af3af61ae5762f12c0555ab85aa3cde74d327d45fa25814678d0efb2ebaa738ef7e06a4a021686d3fd7707ee25e49
+
+A = -48edec672e8de18da5525487ae3cc19e858f0580b7627610b150bf7f15f57f734925f9410fec3289dce26069636c0dbd21fea7b05b9f390f502d1e1ded20ef8b5e944cab1dde7e703a00b2af9619b6f41647af823340b1ba3762e3201714c6cabb84a3ce1d09e46fe25a5248e193081de659ee987f0756d59b4102f9b4e24a49ed49d77500e16e731762592140fcfd65cf806d4bfff2e414026af3f74dd8b704f9a9395f713f0ec222f2bf915af1e12bc8fdfd8c0
+B = -a57f98ff0d055bf229e0fa98be06ffc4564166c3c2feffdb0c38206feb986abdeee954d9f93bdfa1c3f325549a4744a9c6f8a4449095f6c54e966e0969cc547e4a55b1664e47647d966acf05ee5561f6b6c44d99026d4ddad7a32bfa0017c4c739bf315e8b25c4a85c737b3417b0fd20d1afa824b1c6e21c67ba38c468d41e438b7a212253b07c7ca548375645e4a47132929b290fb696fb3f2398100dc661cb87cce0238d069525c2815e889fb1a78060f6e938
+GCD = 77dafc8e2b5f342ec0c74d5fadfab795006d559e981c8618b1549fc4f83b97b4cc4e1c5eaabae3a32aef02cb1449b1a36b446bb94b5f9e493dce63f18e089ffa45e3cb120605813725bffcf3d681848e75203cede1ca403573b68
+
+A = 23201ccb157cad7123d94056bbab2b1e1f9f7231671a76e53b177b2d2445e6631f920cc89d626fdcf04d368d522f60edf4b4b64d3f2f93beaafd224c168c844101602bb218146179f458f3e5a0b51d4790c36e1d2094582e19560ac27dba2fa4c6e403731c2c66ecff2260740d226d72c5e1c2af9afa27934f9c678b4b1b91ca51e47d52c0e15af61be06f47a96bb7ed4c734a4d6abe2698b0ef7c2c2d04908f0a957c55e0d8e9a6b6dcf7364f82a23a6648122f0
+B = e4c925cbfb1c32f155ad954a9f87b72978a3870fa5934f67ba03cae8913de65e1f606f4adbf2351bf4deeec92bae14f4cd64a9a5fd904f55fdc528ae5fe29068a6315c36173d903d833b0c78e559325aaca56f93ab629d7b586dca0a83f28563d6b186c799744d01f286500a029ecfda64c49697bd1e894901028b19e4a457db866e344d8808319b920a24ba0f4491bdcc701969a07d46c07b96ba115b4671a571092c44978ccb72986c6cf3020272a01665bd958
+GCD = b846c8e8d8838395758e03eed244ddd6785f67d91626e1994e4eded2ff10e409460e921db681ed0e3c432180f7cb70f8f1a6cde520545bc4561e7ccbdc5f48ab5eaec5de2cec50e65653ffffb07355db32518a9274951ea23e038
+
+A = -19590fe7eb245dc3b0bbe9ad7c43c00674763c91dfc50b2968cef169e04eb4467ef7ec80f2aadd7fb9a3d6cff115519e63ce9e8ec44b484be0ed9b0fc213994cf15964ac17a13a4d1401e9227c76716e77bb92a0214e7bcd1b22b073acace6f5da7337d893839398e07b787ba0f3f08c6a323d52d65a388b512f0784a1610d4d89afa3ee53a0f09324b84fed1a8c7ca2287c21c5c2269aa24210e3c89530e07d137132dff37f489e600727c20cc46ede244014ddc6
+B = 5495d3d0633222e3ea4ab1e46d1717aa3baff445d1bd1f085399bf517b49fbd8a85c32ac2f91600828b150f0898b251e84448502e323ca47b919d2d485b80d7fe5d532a2c59135ac29d47af0f23cb6f547de30b9b4a7145cdc4eaf51bf2af3b24f824bdc5c22618e77892430b89d26a30b13767acab54bfae8747ee99270c7bf6b943bc58f3f1a95b19f461cee35761e86eafdd178da054680583f5ee56f3d3e25da54e6b6ac1bde14d1dd380f27c8fdea5280f43e
+GCD = c70bdf01319378614152136df1f79a97d0f2d1c57ab9cc2eb5bf837d07c33aa7ccd56d2968e0a554608a6cc4123c671915f3800c0b91ff1dcbef32cd3edeb3911612b86f27c7174f1f91687f80eff8287a9e22158c2f73727d442
+
+A = 937498bfc72a1c99b081a3ec5166117d0eb2d26725079ddf822cd4f6b1772774867dc786780f4fd979d94e76acc1d10a6d9dcc48a867d1b73710ad17387c23ba2d5bb345d2960557e96e8592feeaeb980cbc283f583d7b3a293f224bc6e9eb3d83dfd8151e73b17c4d0aa1e8f4602e99e0cd40c0aab341036e5cc32472a68c85e36fa691f36fb68188fdf3e1c8f6474c99d73853957566dc6aa78de628dd48849c0c42c2f5f95fe0b9697675af2b3d299e44080d0e
+B = -82322c9359f39ee3a2f5c8333da0ac53aae946b7321e01242df45fdc0e1dcc6d944853360033c18f338d6fc7e666d005bff1e54513d27cb236f5f5eff33645f79cf8f0086fccdab2584110c2c684cfcfb2d492c38f9a926ee9ac4abc4e10ec787641b3b568ab6b62589b5c8efd7b064b9e29822508148d80f9c3716a3f755aa478fb2e6ae80434f39b030c596d78fc9ee8dff299e64deee3a4ad908032cb00e45f12941d2e6fd24afd20ea5b5f855dc50c6d82f646
+GCD = 7252ba814fef8c3ae82ed59e513ee1097fe6c86f9777a63a61cabf6cd6c32b1a8784ccaf3facef13b902b36030c6ba4821b3636f91e7b6f98bcedd3c8e510db1eb819f225989237eca7ae9f596b38937e884faac2fb6ea8383a87a
+
+A = -70366415fc855f8bb2dd8e4d137473b00eec4890a2d29871c92cacc313bfd8141f3695136502972346504bd198a2369ce4ab7339714feafe9f34ce4a2bacfbad8f3e2a90f1da39f91426bdafe98d93c64a2bd6c72b10d8e906c01eed19c91ccf68c01572e89ac7641b13a3a6453006ba35738d6edc07f178a48b83756708d803313fd54669c56a8b21c03439d7dbdebafb0aa69ab9a66222da58709e0fdf7fcdaf6b79a0399f9ce14b4bf2e1bdba9e8444265c38f30
+B = 2afc05994744d2fc2cf2e764db161a81b68a437b4f80d89b10a7b907e196b945d1daf75f7f346b3e3b9caf38b2de24059316ecb7de7a1191f47677427985bcab0b3c87e5ac7ef5809e720ab77e8c43e1e9ba8dacf4e7b1fa201f90fe75c95b9af49e1d07f1424901c294ed916c65220eb66f98a05749102ec4bd8592dce4be683c52de182d16bf213dbdcc6d0e95cee4a5e08578f50c7b14f324168cc5ff6edf0550c7ec46c4dd27df9aa805042ffd9d6a835d7ec60
+GCD = 39f8ac185898b8127149d632ceba9f6af8be9366a5b77b9c8d8ccfe2c2223270cb909a5163b2ee95fde6d58254fdb53a74c42f55d7087f2de86f8b57ff9fc6287a8563a607bd23074b878dfda0698bc9c54c41a732fcae50b7fe10
+
+A = 170cc2748ef29a0f23ce419f8fc7ac4e49dfbfb381ef719aa42147afbc74e8144d3f863d283b05ca104cc9feb87f47510902fc76ae9ce3765f5e6a5e413a71e36c46e00c604add4c13bdaac334082a5dbaece946db38d91a2c30ea7914ef81a4efda7d1a6c9490f60dceab781485b9403848267589b597ad5989ade971ede7907777f45940e10bb998238cbd873bc4694003179a0bf3d5df7e96e80fd9f1452b90e7da9651259175b5c2c588965d9f1da81924d1ed75
+B = -13106192936017990e8daf776f1ac03afd40760a2ed7a89db5e3fb09b4f0ec82ab84048a9fc4f113128b65cc9807fd5236f6d7e7370ef56b130bb3062fb299a548fa033a33176c09ed719cbc37375fd794968bb8bbcc60950e94795edee12a7ae0a6a9bd6c4fffd20918273035cac233bf51a68704477fb92047cd81573e70822deb1be9761a4422283bb54a91b19f887024b26671d3576843953bd84c3d4dae143a817d416f10dd0f14e75f774d7dd9bc9fda0b4de0
+GCD = 6d64fe5e2fd4519883307e91830a321328af15443a104bd8e730a0f501cd59d126fde254a39faebb5ddd3552b91afef16ae77fd54bd1bc50030355e27baa25cc4c98561f85886aaa0e3ba37aeb268f4344aff7e0349d5f1f6c21e1
+
+A = -4f4aaea41694f3f60bcd11e5d64f17892f38938d8d893370063d5c8f0c83efafe0a1ffa5f83db792b780cdf896cb93afa72ce2aaeed05fbbb267835814f3635e3810676e820dabad59695b87228ff6823305c1f8da2b8110c96be17e3e0137221e48e96bdd9c3ab43a6d4f0ad4b653d7fce173a94286bd620609c5288adde887d6529b0125e613097954d62b5f907ade4412e4097862ee608800862145299e968195045790f3b68b39ec859db96f43c5f6b819ab84b4
+B = -3fe6ff3e85cb26400b5c3eab69e5b46a713166f58260f25cbe3c722156837764362e6e5e9d1b36083dc0d562a6573acf1a2803333b9e20d63114a9a99b54b88a2c5c5a2feb54f83f12b1a8095635b33b08a92b017855211cb1c157e2cffa18ab49d1128acc7a39fd2c2f7610e13167e0b14cd97092cbdc736b52eef7588920ccd05493097b58ee4b473bd66b5e1240f986e8db618e5df6b03397f573f2065e672d8e4dbed3041c792649c95799a1ddeff3a6222b8084
+GCD = 8e786ad5bca1c06f8b0a93ff734885f5f5d7b412ff0a28272a5cac1c3b9fdd662a6e549b1fae00cc58bbbecbb4cd892fd2c44d43b84413ea8da0e9d1356111a06a92c7e28d9042d54d80965392ccd7e9bfcb2db7e1acd1be92d6994
+
+A = -ca8aef521f3b3d7ae9a192d93932ea00da99d85b5a122372d9c647297d19a7dcbe13568fdfdcbff78eba33e598201d427d1bcec32927dbdbad30005c3f3ed8177164cda68040fad8d3423f6d912daeb61773b0e0d585f682ffe7e63db225e5e621175d1ca392ef5029c2651d5fe8f1a519bda584f687bbe9107947de6523a4e85a96cdbe491f9985d09a27fece2be80b8ec84c4422a51162603775741b0f18cd44bea9a753747be2133bd78efb044ba283c645c6cfef
+B = -82e9e7404926b3813164f342380909b4bb7e7b98561cf27cc1dc26c1aaa9e9b5c7196b6ee0f972ac6182a3c871291a20aba75e91842f69b5a911b824508d27931402fb48124c9fa8d81067617a9c4d9127fd79db1e85b3f6f7b2f69f14145c191639467cc9536ea429c036f6308c8771a849f689ece18ae980f707e7ad672d38122e5d83e4e91ef2809a20e2ca035398d7451f81957c1db1d669c93433f98cee1cde4b8b40d9ee4aee25baa4b846de01e52f5e1a90ff
+GCD = 1ba5a5000518d4fc3705994b6517798bbe36c7f3c51b9ef4be10a0ed68a2cc5e035aa3a635198bbc9fe70c5e4cfb420191e3ae7a7de5793a54bbf43fa2428285ba95ee3d5d83474e26f001db1edeb43da7d124e7593e23d964d134b
+
+A = -24a688f8e8bf2e06653cf3c8b384393991d6d3804a3d68b3214cb81df0bb043e364f62d448711a1768699f3095f80636ef1a41a84cfbeb3d7cbec93d9d3bdc87bde29efe4003c8a1c142696ded7ba2949c630eea60dd8225d51ce99ee2215aa349c2180c92a730bf97a47cd071c40ec0de927062942073f3369d5f9c7cc93b172a2511229db783c4c1cc06c172d5d18174aff253a2db9c6250bb74b7fd2785d47957e52c4e428b4ae25c0e88e30854cc5cf9a17540a2a
+B = 33abdc189d00b2b0946a3f7a7cbf2983b5da0f71945ef55ad2e3d00e0a71609ef045a0ac7eee909cfcd688428947f7b08f80710c7c2928945ce4e353eb373d6606012bb32f4589d01e3c0546f45d05ff443368d319cb54b0279a82d1992f45bf2099c4947af1887ec495de9b34c6cdd818622be12e2915187886105f01af9df2f11e962aca9ac78745154054b263c549e7a47bdf052eccfdb228b33ab15d437128376718a220b98e5acb3b9b4ae4a4a9eae8d58db8652
+GCD = 257978a8360352d5e1723aa69977d8f0cd4f51717f0d1e510a45ea163d720ca79680b2dbd941c849f4941371e0368bfafd95b4856ba5132ea621ac46896d6bfc80f9b36584bdb79c15dc7c4b00ef1222b876ff3f64571ee076a8622
+
+A = -5dd39f7bbc0a11778f94ca4e9981fd2afa92dddeab4ad592dc01a72949f6d7f5c2e871a6bbe775d0e2be0c0d11b02c09a228243e62b8f1ffea3fd822761ec5ab047ef94a0d662d2947eda22b1d5053251e34745ca66169b9570345a83373502a3c9dde7360b6d8850bb4d7a9923cb9b227c703f9db23fee96104486c29376f0d6a2b17f3c616f078aff1529c0d18eb3919b5808be87d805ba8f78f9a4115adea3d6b3d84a410fe0824cebd225731cb5f628580bcc30c5
+B = -62baabaa5c6a275cc602f2f6c3506cba4dfcb5df0446843a33a4cbb27c8f9727d1ab82206a96f1dd7bd21faded6a4d382402e237f4a598cb7027e72877c6f851725231b61a234433077069bdc15af7f6ce29a0f34ccef2b020e482c88fd9660798a28519b58434b2f184f1fe42ccdbd2b73d824cce1cbd42fb02f0e69fc6da1822ceb4de2adf2f1cf3b00e8db6f1f8c3186b92ab51e97a28de072688cc04993a2571e90ff47d9fe0bfe5795d38a4fcb84a6379f2d06fd
+GCD = 535795a02fed391ba9dce6c4d2f0943cfeb85ebf08fee668e47a9624ff6560d48179cce2aa68d9b0e7b2d5fe9813f0595c30cde08ea7c7494e0020ccf4de8acc37ae65529db3a8d831aeeaf19d5fabf232b82110cf929f76ec4626d
+
+A = -5f0e8cd5b1c351af4bf4d699641a5e656b1b9fa91f223ab36862ffb575f3381997d51871473a4d4afecb6761559fe591c3a110086b5775b1dd70d30222eea3301c570bc0e131f691fb57da568654b76b221145b037a1f7f105f73a2ae76ccf4e20fc599e97130ced1db18812cd221fa8b49b0e85de79edf54ab64d2a95be4fcfb6d0336231cd6a147d8a0341004678552752ef3fdb69eb4b6faf38612e89491f8cab5a96eb61657f750d988969f04c5b0207cf7cd9f5d6
+B = -52764c018b2d65e7f755874029bf8bbbcc5e9264f77673fa4bfcaef8b723ffa066f698bc19d7ab721469a4365a74523cabc232dba1c46716f9b978e38dd137c25023b4b8f743a6ea895b20e0874145569066837fc30fc2ded5bcf0b80fe1bc830730dfbecd807335215ac84d03bf627733c0efb66c5bde2fdecaf2e77a669beb2ceeba07f5df07f53673b63b58355a58442709cf1fab5c5469d40dd8b11cac7ce51bb35075067e2d835c1e5cc4f78700938a8b6317aa8e
+GCD = 19e45f548d3a5ed6005bde50b3ba779f5293c1b7c1caacca6fe8416bd43713853850b931633e841220779b34f17c3189259e1918fcb387c0c5aab8b9a84d678f890536d9ba8996af54236df0716f628ba7484a27efb7373b61e452f2
+
+A = -135e3c4b8bae82fa117e62ac222a8d363342391f7b92b358028db2a868194841dbee81dc12c2ba38f3a6a2e8dd340262a90879fa9b2a8972f0c274365cc8e941545230b24147c17417ba122bc7b4ac1b340b088d476e026e969926a7c30e182d9c47bab846d83653e25d7b4a46c95d0cd31a95dde12396d8c47cc934ec46de4bdb460a8de4bbab4d8ab78528d66ec8a8027e6411b6de939f09d6c817fa8fb087f397b77d5b57080ad12dce0eedc7c86c5bf4058847f7bdc
+B = -e6ce41ae73b5e3131b077d557b8fa91ac0ace8d1ad8bd66140744963b87a4302d2a5f180a3c2a9bbeca169a36105ba0b33975161bc16694c8cafaabb2f43e8d615559cb2387fc4d95922043b08e3b574a4800510cb0410c1b09817800fdfb0ecabab9803a65988c1718adc0da73fe38f886a20b32a903333f837da8fb6ce30eb21e256b4f6e6277b3bfedf444ec4d61b4c90544a6f59f261983ee0c6714faba622e66b63c25283fabce8a112f36a56a6babed2171851a0
+GCD = 2cdb00e7344c6e33e2d88b25c6e8c40e079ef4d250d96036363d61d3576310f5a92b1435ce55c30c71dd61d33b15473566699e35e8e3fc0ba87eb95532d337508daf826855906f65226e07846d919c98be5434dcf1299b836bd462a4
+
+A = -14e1a1ce285b72a768e39e0765a8e32f4e554245649ed49679bf960426ddc3f9b119025747a520bde71fa55846e2ba2ba0aca2b4d2fa56a92c69b522140bbd7771e60aa70afd50d4da4b5d2bdfe0072f3b9d5e83d2ec57b481b8eec1795f57c90dafdccc4bcd69d7e1deb2cf2e3de2967b3f427e75920bb80c94aea7fe121a37efb17aed031dd5afc2b03c0dec3bfff2fc243e279e76fd80c4f8dcb485eea9865d544a79ca00c485be82a5ea960e602573cb50486af3e42
+B = -167df5b5e649e58cd58d2f77d682b8eadf7f46deced6ea6c94c974c00f145888d21f22157a60c0f3ad4f982b1398d42c34c4076c739da81136840d0227e0296eedae4053b223c87ed2707084fd779d4a7a7d698f1e4dccc2249597ff739d9e9f54303035a8fc955985a6e8968f80d76736797faba4405de22e68858e6ffc5c9749d0d269692e69b9a7a865443211fd9c43d832e2f0b85b2b4adc1f357ebb84bf0ddd2d0d75a064400e20e27e81762c50fbf3a4f4cac23c0
+GCD = 39c387b62b5e841cc195294fd31da851b01f2c7db1a34e30f55cad5b3f72a1837c5e7ec2472a6fcadbe9e10fbf604128f0a6a7af509d25043a9be3388d6f7fe5a125cab09e979833c5971d32cbe5ce962c1d875aadaa80000c3f1fc2
+
+A = -108645f4bdc841cac8c0cb5f9b774bdaa482f8be2c4b443752b4a3bae0407bac40a9e780efa03045d44a242e030c8181ef4562ef81168b9b0e34e2f2a5e6a554d75a79276d189ba880175171ffd00119d79f6c990d8690e253b9cdf877fa91daeee92abde1a6ec6074cd8ad95abab6621bcd321af402984a54a4cf2971cd8e17849be20c5df82fd281cc35684055cfeae9c6e33f97c9591c0ed34d0ce85e899e1faa19314f03031168eb9b33660ce623940a36ccad72a621
+B = 9819cb6792f67e55b30e219c52e59e3a3b91ef9d4e276266ff8643395d67a3da8dfcd4ac371995a582c9d406e04aa4bdd641eb88505376e8d713dca9ba097dc0d045702f8fe91045c735905bd28883526f8aa3fa29cd7aadbe82281a1f680f09a07d72ef3013bdb6aa32cf7fd1b95669a3a80e36042f06f9385e2286b1cea2ab6628747f659782caf098123c4efd6ec3488550d1b33d49284fac8fe229fbdf89baf9a95572cc10db103cfe39b806280d4790aa7f253553f
+GCD = 4f409a349256b7f7209d64cd1294fdeaf85f4cdf9740dfc77aad12fade6bf3025808f813ab5b8d3980c655323818c5a026e6cf401a7e69f5c4a697a9d8bab976a15af22e92e4261e760045330f735f11b16987ee9f1c7be0243f4e81
+
+A = 393d46ceb9421f76c9db7ddaf0d23000b112334ddb12871eb3054f0ffa32fd4b22af6d86581bcd13d3330cd1399772b287539c80f35f557b291c3d2621ca139e0e2c61d1b49c7d22b7894c007270d5f2a3bbaf50e96e4656711ba209ecd7eeb5003b616aaabd9ca31acc32bff72585c82956237fb225f0d25fc1acb8529a86154cafcd07962939a18746cc8c3a867f404e06594f0e2533ac64a8112d7532be3869c50709bcbb6b2d441c5ab6a714df7ad699a1929d9c4587
+B = -1dcb1a07028d32049cf35691ac7df45112eb0fa8620c8a2b92cce874286a209280dfeda74fddde07f107657f935b7efc7ddd6b65be374951e56378b5848e55f8d19877efec0de3632f15a09b20af385f44d0370318c6a1da18056dd5e0288202e2e895fcc6941f05ce7c12ad5c0914380e85085dd377b663a76dfa6f6d81ebd6e0d34ae08f453b98c406c9f21f66492b98bed5d0a6081867752f3116c27284b8053f96f37e497337429672accf730a38106fde6dc997f983
+GCD = b81edd7d0dc9561b52ecccc39d71b5bfcc9952817b13e924b82d44f1896c9f3e407b1f8349cb4bd7347a9d5dec605d4634d3328e99449ab5b92ffe2511c44d2a692be4f0b097f75d47bb74b4997c7f8c6d96409b0ce1c6014f0702d5
+
+A = -15444181c49b9196b94db495519ec7ca5aa14e9df79c25967a890a1c198ed7473b950585259896213aafb4debdfa6224735743afbdf7d1449f8a658b5890461227b0b87771ba5f3f0a265ffc9c9c6319b502b47b8df46f78de1b172094b2352521800e9da1f3132b3b47ae1330b349acd15cd33dea1104b8478c07136beacd3547bc71a53360e8a0f2b0a375a55f49d40aa285aeb0e8cf4dd7889afff0e7548248746ac2d4983870de13b843f3667120450cbebb6e388f56f
+B = -c98ab3680d4595e701a5264e0127337097f11a8acdf9dae43067090023e763fd780cb858efbe5c6047caa0aca4575968eb3244076a73bb730e36cbfba2ddd5d2ef51c43db9837097f8d91172cb91f2cef9e84a6b23049c0ec1ee6bdf44ad10880430a712ea2550f9dfafb3196c4791799a5bfc7ecbb886935ef975a01df8d1d174daf56357ccc1b43fec4b8507373530d5298b4995a88dcf4fac3b97f922fc35f285b66a0748054670819bea3db9dc718e658b5058634480
+GCD = 15dbbb82f5aaa55b78f548385c9d7d8916615dd78be7b1164723cd7c13fcdd8345e3d0685ab8e61388d30ed69495670b7dc90e972225d248ba794098d52530472360ed82ddda7fd8eb360dad049e551b0c90fe7811ae320c7d0b64b7f
+
+A = -316afda744e782716e6434eef2fc0d91994acc80914d3bc594a9aeb00bc29dd36b4be12e643b1f37dfbc16f7af519ce7ab729b7dd71f71d9489e35b9379edeff34f382356d66afdb23d5fbfe7749787ad282bea8f83f5a0d8fed03321d137e0516c0b8a7de6f4fed758828938b3e808fc32b219936a10c0bcf1ff29231bbbf48f18bbf097fd73d44d421c343bf78c86142b7a24b47c7a233c67d709f85fcfede53ed44d9468320a154c4d3e4639bc008af356842a030468a8
+B = -64e249d32f29db88af8600ec23792defbe572bb66ca4734ee7c446873b72c8233ced5e4dc7fa48d5deebc044944073abf6fb14c816ed0ff6e13893ce58a5b82b642b1e44b8896e70bdd59038b87e750207b42d5968886e1c46d4c20dc0be1f8a97210f78d7d1aa46937bee7315cffa249b27c2394a9ab6dcb06770407aaf22ea66a52e51ed44aca9d5c6088ed30e154ccf79ef64d7dd025c6bb4fc3f0f96edd1ff8071789c56dc8b1794f8899778025ff2dc2fb75394e2f7
+GCD = 216c4766f53d1afa59b1cfb6753dba52da29d2ce6e57e6f393685699a355df58c148d73edb9bfc3cbc51aefce6edb5eeaa2149057a59d52a434914cc1743508899bb35ba30b3dfb998cf233925668597cb6d808625ac27a109de605bf
+
+A = a067d8f392a5c8e3d7c5abcb29d3c3161488ca0d5ce4ee7f820cc1bf8a8831bb452a29ec61655c5a0ace54f87ef1cde7bbabadac69a674e1313e6c199fc4d15aa3d5932d037b7df80548f2d2e0db2b4bc7e5e3e47a40e064774bf40b454295dc7ecf80b4d3fb02e355ec3d9457d35266ed20e13137709fd04edf2ff55232bfb62ca9d33ff53b42c7aed320e46ac0b0cc96173034477c6ac4662373dbc9583866c8f1a0068b62f92c20368ac39bd3542766fdc101ed1643d8
+B = 12e65bfdf3b8bb3cf43a935edafda44db6ae054f24053d080d44d366452f1648e04c1813c0b230aa1d954756228ff7e9b0a8498de305b1fed1c800424f03fe9f9da417201756db9010142640ee059d2ee963f904b58691f308cc1dbf8eefdb2353508b329e0c535bc7e05450105d004f0906c6fd1c444aeb22fa9520b265526f72010b84db29a1fa26ef7b7497a1b3182324d8dfcb7086ba221dd166befbc66519ba6aaa5fc8a01faf5884ddaea23dc7360b71991a6232ed0e
+GCD = 4d0d17834c1be77caa433259a55d89849b4140bacb7274c704c272e039ced5579311bf499f7bcfcdf812a45a35d811eddb4623f7dcd3cdefbbd7d8ce4266be109dc73eb60a1c396708673fce78d22c5cf9baad087f82655920476daca
+
+A = -30ef6b0fd55e5bfbba9c45169f4404e07b8896f95764b9a89a6f2a2647aa58199af4d12e9d2d876519bf477ecd3402669aa321ae9a4ac3c8f71d82a74b98af162a18af0c820d78610208b27889793dbf77ef88bded6ed0c61b46214f44886826cdb5a9aeb1e121f6efc8f9b0caf22739c827fbc4b331b98a607296615084aa2177fa9d1f0d7d0ccc6ccb99c2cc7b31683bcc8ee216613b08fdf740c20755f9adfb3848e3a2f4ed855f88896409fe8c97e460a7f42b4b0a28b8
+B = 39dde6cc3d789a25800989f0792ee0e1803084f4328920330372e37e11d0f995057b3a260e410b6bef5ec8a23ab43af52cc3b529e95a2737bab99e50db60060e4cdde56e0713db678da5e3f1d9a93e3e624075a5b3e6adde0517962135d75c895db1a0766aed306853a181333ca393a1b0907b7554032fad51c42358bf781bc86abbcc47e6713baaf88689628030b64b6f7ebfcc359fd74483b3e091e1ea9bfef9bf95cd7c1d5536b29a3a413b94fca7fd7265d60f8e21772
+GCD = 80e0377ee214f93209ab886d6079e03f6c1c5341c81c640ba2ec846cad0644d3a2a70d783f56d5a64e4af899fec3ab4a18b1d48b878413a4ebc872cd9dfffd61423a2ee6cee5772a3bad154bc32ba37a3482013dc1958e6a2cc0bd01e
+
+A = dd0e72f5ff1b184ab3c0096f90ef037d7b80a47af8b6eb92b9148487fa774087dc320b820f2efda9efb145f67bfb26e7d4266c0d29cfc7e9ed3160b285b3d96699975a79ed2ae5af47d1e0efbd883b70a54a2a10754bbe581a881e0209efd5df3de7020812f9b49733d17d56a1f88b22911af5c8d9201ffaeb2790002594fade082008cdede850af0560c894de3138357b51bf444f865edfe12a37b156bc4ef689f3076110f0da119889d67b12d07978a89d46922d555623ba
+B = 19a5303d92007276abb716d376e08550cf4cc5c3ed574d9c10899d1c87384ad14ff56c05aff3deb7423c677261875acf0c2d6d26131e4a0e98d3712d1ef8a669485676398f985dcb2d6e815530d0eefabcdbb9f40b38557d1d8769613f1183af561e931116fb643df7c9e371cecd58d37c1cb3acd60018bac57e6ad48a248b54967d9a86a0305568bc3b5d671a53ee743985dd8f49e03eed24e656ee1f29c1538ab1eaf2925a373d6bf60c74a6a60a881eeea1814092b4d196
+GCD = 36ed85a23324d6917b6d3ef09e645f795917c54ff5d9a4bb70df1bfe9efe993e2fed853a7cab8dad3487996e42badd803e523bc59a5edf6a066a63c73d7b8333e17b94637ff6d2a0ea0771c118e26e4200a27c5410d4b5ab708fa997662
+
+A = -34e7020e63401aca126294e7a15bd3ee50d3a6fead10d18231f65f0ab184871a2cab9a95f3b44d11016852808400bb2d6a9302454efa11cfa28015e91824b00a1338d3faa8f32d04b9b774d77c3366db87e68b9d378ab8a7dfa43fc31fa9613fa35622964b1e58852cabce37b7eb6278aa853759216a10131b9bc1708cb176240b51342a7e63304881211401fbabc7fbcbf5fa92ee0c0564aff0385ca59ecd53b72207c25a465c1630798fc466cef584345d9a017129c8fa57b
+B = -e2abdc1ab0ec8ab52e82e4fdd544b9e00f29d6c0f6142719bc9a6eb2f092ec3026751a99e9ad9989a5099355d169599cad3c8d784db19ed0cdb406db0d8628d7263fef3e7b8fd823ea831206a567705d849d31243347512d795e80c7be707c4208e18747b4ac485a7e4b8313ede011dbf8f1857e2bad20fda6688a1c11ef89a06ce4b3c49c55c7bed1deea3bceb4ed646ad5ab3378c18e19fb7d1cecf20d0d3b37827bf322e5a0a88a9645e1178265560e767edd5d5e6eb0f9
+GCD = 3a222edc8f0e632898cb45b3ba1005b2d350d529b3ae5676f80f755fda5db61b846256155c4f05357df35153e844b9a465e4fcdf63362262ad1193965da4687b2faf37c2c7407decfddb017f578a417c81bc2a50c0108c288cc9697a8d
+
+A = -a752426c0f0ccfac667bc37a750d1d1aba3ca8aac71f78330bb3339d1273b8a1777538e413b8522496b103da4207da94a03c245ff91ba4507e70e52d0e90bdfd99f8992b0db209bd9d30760bed5d6f4aad0b7e845600cc81f61d59e8502f2c48f5f72320ad6402c60fe41d71bec8088cf977361751f6e47a38a079bba38caf05506d080c0d097a68d1c8575ad26e2122408e03d22518365cf9b1d7b4e9f16a8c6a5fc30cd0fb65d428d3f06e9b1ce10a30a8bf58d00d0fc048a
+B = -2de71a8a324bfb5dea5ad270b1e9ed80d15494c8d62e12f31a835eeac499999e81725b923c1e22981fcecde12e9d265e3defc112ff49ecc16737384e21bb7b83f0fd5f9e698c83d81da219d69134f194d686e69ebc516885e86b0bf8aa5c94cfade5f204d6dcfab611f14019e9af35a9c59305f3aa894fafc6d5abb4b7f38d37a3d208a5272e041cb4afa5c38659c7612dd29c4cf219090ec819d6bab6f0617bd4bce8e0c3787037f10fbca6e8cec78c0670d86beccdc5b52cf
+GCD = 4df63a9dba84ec2eafe43410d33b8753c0a11eedfdb796ea333e12dea11bdeb41e6b60f4f24811804266efb7b369b5f874f849405cc645a796a62ad1472290f4bebccddb66de6c9dd7aa51c4da6863a477ad0f3cd6c099ad752b716711
+
+A = -2c6d0fe2ef413d98b113fa992b7238a4ed463d94d5d891bfc038e56cc6a16ef630aca9871d7e281b8e7262bc8739c8c358ce52b744e9c371f640d03cad874bae5830aa818287a710b669d27f6163abaccaa89fa98f4ac8c0c11177b467d30117b7802e563bc996314d8f84ccfaf577eb89268f7a9ffded4371e7996c81b0a071f2943d37063a86b252441365699d8454ee351222dfc13b894ccf483de409e6804635d1136f8c7337af463011351fae93b3a19641399da23eafcb
+B = -4ee5e128e9895c443166a3cc76fb6b46aa40c0e845cdcf85b01c4f36b3f87523d64a623f27d62cd818ee138eef95230de9022242cadbdc7251af5c4503a88b0dc4e72ea38c82652c0f459a712c66ef2dd0ee77f392bcdcb7d4a7a87775b247b51ff5db4e3c8624bb8e98bf83ef70420435310de3358f96dcd746e2d2475d39dbd7a3eb9654dd524993cee6ffa04c4f90269247b91a493e5ba736efb87a05e31a08e752d46516d4d129a84e8f32b8d3f6fdfd0c891d524a010ff1
+GCD = c87533896b5b213ed2a49505683bc75f39601c5d1d57681cdae0d42d24101226aeaa059e51bc14183958d7c6a196d5b698eb194f8c6216a69ee3387c470883ea3d3eea88664671e2623d76a887e918db7281fcd5134b3077840bc14585
+
+A = -bd0fa3e41b10450a6bbb3714073106e5a38bac190885840a7927a3eedc9f4849acf28d72cf000e121b631d982ee5cbee7cd22afc559f4cd05d04d675f5e4769f7a3898395cae10f3062ad483be985803d454c9973883b68753b21069be6eb7be9047698c36d10db9147550fa41eda6c0386d7c50dd02017ccf7fe4669585dc77169fcb668ad0fe6dd3c5efb72613bb7d7b0660c08f109d746c129dbe487e8ae517d4d6e75d00beb324436eeb9c06ffec8694c3f3d2c0a7b535ea
+B = 1f413b0a5b91c93accb04da98aa495d27ecf005dcc9347e685be5723bd8512b8e7f38162bcbaf2d4f7f93ceee46ec7759e428bf525789f5fb59d5bd16fe8e2789068b2a8685ea18583a27f32ce65eceaeb64d9ddcf49c940ca628f74aa4062d3131ec97d83432529b04e1bd1fc6108a6ffce161229d898e5bda1d4d661c8f45ad85e8c90ac60fc53ce5c7956c00378f9487edad5a82290c235037fc99f36f9782cfee5cd3434d886574f6cb681349eeffe1fb1837f2b9ed5523f
+GCD = 11979410fae8473d1f5bdb34b44d7e11a6cf21f343562a5680000f2ad68dc2d1d9c7d2f7119ad7eebcf55d24db4078aaa97316597f351e2c82e3a0e0107d4f029726cd70245141de0bda412e8056f8352271429fa4e0ee7a8c7e99c5353
+
+A = 5f8ddd4e5bc3cd78fa8eaade54c12b9a4247bcee0cea21d8e26a7793becb35a746e96d018b9344739c52c6982c5cc4d46c5b2256687e40d156b8f4791057286875a0ab3ced331d88584e56f0a3580d89023f3d1bee4f4626e635d0c114dcf1772ef007bacd2b0c8b70ea6841bffe8d43be9e53cf7437d6d995ce5bad5c6f0b3f375775273bb3226893406e71ed3a6f1372033a501e69d60d2321160b55e7149d2494effc861c86ee2f1c068a50213ff512557a83f8b8a855a6fcc
+B = 31668a7b453c3df62edc5c9c5a098be6efd88d72c3ef1523d9f7d146ecff154b1085fb3ee21047ca8d8ece6854adf9ed28b96d32e0c63fa76cb833e66181d30f883f4989a6a224cc6be637c0f00163fa3bcf85ccf3c52fd133fa56c96d127724289cb1e5d029b2769d3e90cb7b5880ffce2a445adc75d4934b810c7d2bdffd8d771f77f5d515c4b33d5f2f3e12776e4951d851d379cdfc84afaede440c99940c40a0ec5278c0fc064aca85237088b2289c54d9b5a1c04114d570
+GCD = 3abc4293155c9285d194d9a6090a7bc21e6774f8a485e47b5c1bbca223d3510fc82ffc2b10cc8bb48d71cb047b8fe5ae0097aac81735e645a121560dbecb51bfc66f562a9ba3c0a6bfc8f114aa9abec278b2e375e5e4255e58315c9066c
+
+A = 10c145186b93534cf2a0eca4112eaed93d0306a6dcd69728bc0d2793e54276089386f082f74fbca88e371365a3408f3af48d96efdde0c1bd1b5834662e12c53d232b795274f689249a1cb84a2ae491b47a269c405fee56bf1a315178291449bc8660654131fe3a531f95ee0429c876114cfa7df7524800a127f2c92de2f60cdc7bb3ed1ca358eb14e9be6cead1515055de2b782be054eb2d5ca00ca8e08fe8ca3277ebd95f06a9d247c6f7317486427803cbee192002f882e43300
+B = -1395faef6301135b24663546b8efda0de698fa87b43bfd754c74faaaf709556d208c87d5877e9ae7825df647ff33be0d0660e52fefdc3d431b81b61fd254a3225da1b385d52038d7ae0bb307c92e2f78167e1ccb730dc9ed3d077502a3508e7e834ed5b8d0a236434354f8c1b87ce615f1e257bee383dc48bda318719d97e7afb4bf2e4bb67ae8a1cae0e671563dadca529bb95c2d1fa1f62f2befd1c92e1031dcf809e190092c868cdaa8c9c8745fe1aabedf580beeaf6791bd44
+GCD = 5feda34ef7cd1b55374506ae300f7dd568ef58f1e28c4f7e3187e12b2c09a380bb40ad2969e8095de5dd851ce6ac8b35fdaa90af30f335650fd10a14d586e10eb654bcafe7569a505419412087b5ca9058d68dd75a79e5961eb577b5ec4
+
+A = 33f38e6e451ea0334b00847cda3f772ca9226e2f45db9fcf9e23c5995b453e831a3e4ae921a0e9e0543670007f41b6225961e3b53bfc1a64d07b98589e1e951e8e112565e957677f2a89b90a24338e8ff8ad9feef732733fcf29077cee51c557255e107958a7dd471b0ba5b3c09884e1135207957ce137ff070f87ceb331f33eefb5689700294d77cdc6f339df888c085d10c1c529e52cc2221f2b6496bb229d3b2484578fc77a7b71cbeaf19335ff6a289a1fdcf4cbd7ccfcd906
+B = -4f23607f4bcbdd8f210145b89a54048c7b7a37aa08ce24bc51da01efda95ee0517382c728cf495fb35039781547fe9d187216993003c62ed013870eac3f82880a13ee3b6710c665148dbfb67718841c7b390a07f7d0f314a62826b8c364166b28e369b8a7781e5ed0cf0fca432662051b1a1d9d366efb73750ae18a1adb89dbc6773719b2b0517319f0426849e88ec5c9ef5ee87a09d29e9079dde1a42aa0cf75c2b0697ec0d4e2c4c8ad7321aaaa591b0034809fda0fb69a24030
+GCD = 1685799652d73d1d62ac270e3a265583a7384c4eb5b72d4b1b71781825a0b6841e15c75fec36d0ef44191c2da0980f092de4d83f0ab8fc2339c4d4d02aacfed8ac786cc6f9c844d0efe4670f1256dbdec2bbc963820dde4cc325e684d7a6
+
+A = -fea8d8db29fe24d7cfbd1e4391a77b62f4b6bf9b315068986b187b8031350a89e81fde4d0de1c5dbfabe0f6d83224736e3b3a8c3de3571f4d7178ad8a78e00589b48d7494b77f83a01d99d4d4b00c5521f2781a9f1705cf208db588cf262139bdae33934b43cbc8cfe3225f37e51f9293626c03323457b2339cc1bb261e68916d12413320cbf9435e2836c507c3c7d3bdf21ec7a7565657c6e85b241048adf843d6cab529312bb89d5b03ddd96c9d6f1974b6dc4516dab8e910640
+B = -15d11f25275bd956d3993bb1404f6fe787d4761a3977e2cde42629904646cd6c96306afd54e4e9e7e666c1fc05636c835598a4e0e3c636a1fe2875761853b9234e290ca5096b48158e311e9a1591e594c440c340e6bfb6dfac712cb90cf113cf36234363515698118fce00a9804d641426e3837c9ba288d086960f9ea908761b9dd1df175775c3744c6d7b72fe8eeabf8e75dbe5fb413e1ccac74fbac29693893fada4f14beeae59536e4509d24449614ea9c46c0a4b4383b464c80
+GCD = 1be167db4e8a64dcae6e806a29d7ec96a4942b67b329f10cbdd88363c02e94e2a2bbe6951fa272719a2dbbc515e8fb59bb01a2da887588e12e4b69e2927e292e809faed6df8bacf07516a37a843a1f71540c43da5f022bcf774990595c40
+
+A = -3b7162faacd65ace7eb8094d0522f8feaa3d920c5cccc2f60e92ae1b4a456ec97577ef7d4384c9dbc6e7146bb22b478b1ea6d1479f51efc646f22702a6c01d73d321c7ce093735c389ef2d2660200a527452abfff7e91c8dc271d3d85bd355331178c8ff01e76416c23b26c5ecc81e1332656c92025e78ce53852e3a9c050bc15f57e5618401619ea887099fabe156529c79e5618490ab70233db1e07c62006a48dcb8c907a3c122e279e2fb5a65ebc54d8d44633a438a6203cf0e2
+B = 41a0bfc19f2b8f7de9dff565fd86ec129c3ab27ad884ceea112fc5ca95bae42bb85406611b7ad289deef1ccdc5248f9d89755620b2e58b49a3fe3e9d9544f260e36d0b644dfdd48e4986934d75b131b6998c967390fd5d56b2dd06e1c54d0dcebb0ae3c3cc908e6d75647144679183cc330ce5f9001262f3093cd5b6ee31e6e902eecba72ab79ca8342945424b8fb9ab61fbf615c93f745521988a07b7fa0142f07c150513fff4b5ea673863a861747444df543e10a336238b3a3a6
+GCD = 2083cfed43d42cf163ade1b27b77cf828d0d0bbeaf5f1a024513e5dc6fe533571497cf1a3702f816035830f9f0bf71e83598fb864847fdbcfc12ce9515b2a1ae5606c576723bd251b6d84c8666c01287b336d2c25b9231778e36be0837a5a
+
+A = -3882009372e2a219aadea3975ae6bc5030bf0b7fd08f688cb33cb90c880b08ba9a620a296dce0ad2a7a1995c765eb1136ac53f76e892e0b999d94c4f3633f7c554ef23b8a8f3fb21cef368fe16fcfd2a0147fe9f0b94db71c8846d15cc04009ff83d156d368044f7122c051d1c54f7290acdf26ec5c571f77dcb268b4a40cca8e7bdd171d443e29ca48e04a2224155d5a5652606040e4fa5c928513dd91882372a017647430c259ad9114b0287e08517ec70848fbe77a5c9ccf1ebf
+B = 888de61cf1211367b21ea81b129dff1e05e4e65e78348f60639e6daaa6cd36588140eeec8c2890dacb2625fa24e86e5bad9669d17de48a8661234279844a62862c27e2193f18c8bb3f2cde5dc926399ae762e7952e3439aac4ba9e0eca050e7be0701d9248a934465dd047575419f4b681e2e845c6717cb93a0e45ba785cde93bf20074c0a3ffd2a24c54dc81e4ec75e48215e35bc6edb13f7b03a13d95e10d6a9a12e5f9f2399f696404277b34ad5a7c90fef1ec0eccbf4ab72f3
+GCD = 53c2dbef83aea180e153a69bfb75c6d4cee0349ce7b5c305ad191997141d5d87cd1467c103b244ca8f4abd22f76aca8b6f1bf2fb9b3789625e356f5df89c2a8dca4774ba3ac46a28c5dfd48c5569e8818f073d2345a7ede918051017bafd
+
+A = -45cff50b64f590c8cdbbcf93e1efca53100192c876ed43725f7b22b8abeac5d2905bba71bf9bd8da7e989f9acf12a9bbf6b3eebc3f7a086f4f38bbf545ec08cc86e7dd80325b7ae1186741df777d7fea013c9556e2ec971d69ad3d02483f2987b0cefc515acaffc5b7c5b38299b6012b4052ea58e57bbd8a609942c0e2fde8b223048aca76624f3b5afdc972acf65fdcd21c43ea82e6598cc99e9923ddc2be3584918d8404578641efa9adc39938fcbc861e480f454b7120cfdd5c5a
+B = -a73296866df9b22ffde1d971a081b56d1dfb5396cb16de99c528d946390e24c64c36eee5fa0eda797070ff16596109835711557d91bcd56ee7bb58e4bf5113d22c40d127d8dfc8f621d0e07a849ab7c90e3231f6d550afbbfc0c45de7afff83b74428feac4dce9fc492fb10ab12dc66396d6d217449b12398d66aef94b22152da548998ba783a241f2c8f072017fafbcd764f1e8328e5cf5f776cb0a66b4adabd7387f3817f1ff7a9f464e6f247ecdaa678db9d18a1b0bf3b4b2e2d
+GCD = 912fa0f10b1c113b65dc70a92f0cfc0d11a32627aba2b33763c2e184db5e2e8e35af05f03ad3c300279ca798e404dd29fd141dc8405b567157b4133c1d7ed6f00ea5ff3db568fbcd6d4d0bc7e6ce563e3c23eeda145f80b922d85278c705
+
+A = -13cf497921fad45a1b9ba4f7c26c54215b0a0571d30bb10fe4bdb70a83f406b8918beabb58bf10af95eff1ef650156aa480635893255081d0e7a8142588fcdc3150f6099286b2a2caa59cc3001e80ee343c04a165dd411b502851da7dc688bd1177d1461bd90bd08e5d08727d222ba02bedc5101a8972600819a7a97afa8de2e14976bf1aa2f0d5b3a6142ce07223049bedc33344898fbd28ee57f25324a980d0373e3704a7efbba99aab81ffade447fc6d74295675f4aaa3d10d113c
+B = 8ac932d7bd1e88ed5606c7f16ec9502d5ed891053fdab61ca1281617227a3a59d090b8726c19bd8e359980fed9d499a097d64fb56674a485d5f1097fa9eab486e7b1677599f7ac32d545ac4cfe8ee077263a5f97a1185514e22a5c6c6d909eabf8ae1e6fef51dd95f63d5dae734418862327415b3bc84bb0bb50cdcfdd986a2f669c0aa77008ea86d3c8baa90ba38d4c6ac59b678c24e58f8d75e0352090eb50cb6e7af09305c14b76d6be11ecfc4c197bba65c6ea8643e84b791ca5
+GCD = 1777e197cf67b614481961017f7ac81608170c0afd3198cdc6da43de4eb681f03b3e88c91a10119d3618becc58f7a939c0ec9980bc908e584a66276daa0754bd2f40ac33e36b66521502088a2eeea0c80680cbda285e9995bf60c92a6fea7
+
+A = 383e87fca5ae1b66ad21321a56a70b195bf9921b26d98747ab34a3c6058947749b927566d5e50a70696f9a0ee336b9bfc23799889c2493abd5179867cb7e47d0f898bce268390ebbf60695be60451f48723682194cca95461852358271c7a3b27767e214a563fdba3b26d83c2e3805027ffdaa53eec7c8d8cdffd94660f9d0adf3cfd2e43bee893ce330cc0bfaae486e066b5e67eb2204caaf8820d27944f10e15b025b93d390c3adaeea991c5b530cc7864adfbc969410fa23d48dbe
+B = c9c36c512c12d2d95bea2fefc1f9b6280280bd0e93c093366ddc2161f1d119718c8b8a04b26836deb16e88b7914e4561af2e9677f883118a0ec2da299a8b91634950a0148f1d724d9e51bc4780b288f3cae8eac2e2a4643e0274a8267f2e099a29801041a4154b7fc1984b2429399ced6b56c87fb9612c7e35c8d8c9c47cd9ec5bb006cf1fbf09fdc1d14ced9527e9342c48986595dd4787983b31657a1403132cef1e1879b2ab288036a0dbdd4dc410b1555c19aa1901763a837136
+GCD = 39e8fe73dd597e986fdc5c6ff223ad7182ae3ed249ea4ca732627f5c5caeb58a915147e681b4a0d263e711a2428170ed8084ffdaf5fef57d514bb0506d2b1da4810d5b933e7eff0f95996deda25e759c207af1b092860eb9b2f7c601acb52
+
+A = 153e9781b309ac5bb022c348889c45e07f70ceffbcaa33a954b163e89290805f06254d96ae7bb85f7f11b046ed6877c275052ef09cd64b86de08f76a8906df1987fe71105335657d61541de92ea4ffd495e2a2b4deb50c895425cdbca5037c22d28b128bc6c3137c49f78f540dfb5e9a7b4a657440ff1d7947fe53813c8435a49491313d7e0e919db38530370ec3208e21bc9894c3fd4c829d1c43bfd0a03c0b380225f86138d65fd098a85bdd53e9084e19b6eff67643352a8a9fd0c
+B = -7542a60ffa12ed2330eba8974c8e63dbaa1f4ea7545cca203fe2ee3e96e1b9c62762e7247e3c8158206711bd6112b80f1375d3eab46e26a92a485e2feab46db40e99b4e906980fec76fca7b79b6766dc1d7270ac0193346c45cd4458b9abf93aabffd0b19469dcbf6ee88534db3b5c43375aaa39eb188707e6c4f026d85a2b92b8473b381584bca3da51cb30e03ee965f8223b65dcc0aa0ea810356627305969c2d242a13b46360414aacff6ec80b27422632a71c0dbda4981bca1faa
+GCD = 37a4b8d4ef042b17abb5737566f9b4557c7e6a0154c3b992946b1d25d79ffeac8a1bc0473617314b39b3b667b64ce3edb90aa12d0767ffaf26ff66385bb400979baa5c3ee284b05c0bc7e36ff5d1e28fe3b05bfa6fd8f92229dcd92e3b6526
+
+A = a3bca39bc2d4394ad80edf2610b39577c23c58842c14065eb3a9400f2ad6745cd65ca5dba479e40af7301826c2945bd2e52f9733dc0ca4fb578d0552f5ea89592ca8a730a4e46f2008416a03f78ee1c08b7c5043774c84b5f95b7e77cd06aca2144459e06dfc701b750048d992712dca63bab10ce6c29720a306e8e172da5bff450dd6e9d6ef808e7b7580e1e35dba7970a4dbdb100f89fef04b9396f17c59256a9e8d1021f7ac924fb44537618f13e099ed08f701ef422f0bda03a46
+B = -1176edb6cbb3a409ff23db30990edf979444cdd712bca6d43ae41e56199797d28278e93f880d4132bba0968651d1278100a3b80400f3083aaa98392d4430f1af29012f345b218ca3d5cceb51802bc3a61ab51881c451711040c03d9e1e362e274af9f288cb00985e3da678054ff3dbb21c0a7ca1b6f0696f46de45cb4e1329c6d496bcf35aa23a69f9ac34fa2502c89eced548611bb9af0dfde3b6f088c7bdf4f1960f574f570e8b8ce06921108fc93aa46f405bd06ba2e65af22c03dd
+GCD = cade030b377485b47d602166afbe94f938761fd442aea501ad6e8a2897fdca68586f1ed23815db3b59873790c5c2e3ef1ef65c1e28e94c17e64e9559b3a782ddcfda10f49a990a04baf876e670d38a404724b05d04e2bb29f79e9b184cd79
+
+A = 171f11142e8d0424cd051b20072366a87bf5f3e851eaf3445781667c161e56d064228ea843c81268328cfb30b4d6a0d5bf92fcc501b3e0accc3ec22aad82300379ccfc5a20710337b966a7a47f4567651b1fd9613e3289abd72338b28cce3de9d17c7e15ba4b83261c4df893c3b2eeb3458a9f1ce1662a3e1045db6a76caeddc24095a072b6fb77469654dadd7027e2fba3cf61432ce069a41d44526f8744e0645b121bdeb49c67b1eb0a4b3f8b65727118411b534e923a825a00712ab0
+B = -10f8e0a9173613fee5922fe313fdbb186c793f0720b3685325f5d9e9d3eff55e85a9ddcd7cf18d4c50783835690213d51f7db6dda3c5256082a54eb0e942629974bc284692f02c16765bf24fcb8b10d750d3d8c7213980794606392f5d2cdeb2e47a0ca3e368c5a6c0dd51b5089589acd04a4093dc7c1ddc9492b0de2dd5ed027f9f8525c87f02a60a0d8ede88fc54fb0e47943619c5283d943356d04fb18ae8bc81dabeead0daf920ea5067ebe01ec314bff84cf75724b7b9560013fa6
+GCD = 1bbb7c874fcfdb04344f837bacfeda6846b3af248ccbee49f138229ced34943abe509e1abca5b83028bfdbeb6c62c25c4634f8e93a5e85463f1502855efb1acb3529520fd1d9129a57595fb56180db4a7b3f4f89c5dbed8cc3e5a0b1bc818a
+
+A = -52080b23d46b6aea8fd13266fa88e3520c2922dbfa5d0bf41a171a771fc706d0ec6a6b10d3bf324f0c9d14e8c052d890474de79afa56ae4493bffbd6b6b63ffe3b6c429a2390ab3086eb6165210b7d377fdc55538fbd228dcd4311e0c793b9913fed8f7c8325c041e48e8916808368ad29d1ade10814856a7098b7e0493021b5fe062b33767b2f70e2a41f15b314de3b48c6ea0f5e05f185a770e048e47ed820731573bfae9e6f40a39276194342284fbd0fda9e7fb80bb5deff89bbae8
+B = -56478e1bf5bc2d7a535e89911d3f3627d19d9eec6b24d1290628b205fdb254588ccf055f60966de1d44afdb604b09b9eb48e885a4523f78ae07f742a0e54ccb776cffe091985d9438d8dfe7b039c52a52bb6f8bacf9af67717c6b29f0d9ea74304563154abbf47282de78a821024b0ce1e3f1f51ea78d1da12b2303c320e9267b497c04beb1a5cc8007fdbc43cbc98fd7059a634c36e3e4fc4db9e25e22b95f228d3fa94381a166fd57be1f66b15989bcddc83fffa6aa5aedb07d7c6dc6
+GCD = 3e0c0b78a0745f7ce354771882227e6b99bac48c427bd6c5fc1c2b0529e9d39485a94d225141950475b32bbebed8e331864a63cdfb4a6aedfaf07b39eba9d9c4e8fb1c621c734afab055ef27f0d09f04cfd68d86b895730f634b6a936bba42
+
+A = 6358c13a8109a6521baa86f1edf7f0220328cd4aa5ebf2c1f67e19e0fda95c471970f29af9bf6b947179bca14087ee21fd74fedd5ab669f9f6468fb5c7f9f9353ab5f3dad7ce3fdc4fee39dd6ebe5ee409c5846230a0998c9796f78eed6597679c39d2e6107204b8e2c01d403951f8c2728ebba705d0a97f6f0600bbb1b0d9349e111e388727efd7e88c65dc72aa6e77735754426e595adbf0230e343a8bcb52d90880c44b47e8ebaa37eb364b07cc3a407a9239d105a316f236e69ebaa
+B = 1375dd747402cf3fedec94bf5e5a89edeeb2caa73494dadaf28ea66a337134b4727efb89c18ece039c5e7a3ffee63733903f86dd7906858e747a9cac9d50483132e4f879e295bc17053a0823dade577df8979bb25abf142362b7ce7f0e0ece154dbd82c702b801a6ddafe3a7acea146ef0be931fec3141e154941c50269519ecdd9de50d72da27ab18becb10af5de2f448e38597b15b3c7a54eb79e7440e43b3dbf8d5f8eca470713b7415fe83f3b54840a3f644dff80a5ddb38e220d2d9
+GCD = 60906f336c3627c181f538917cfe666e74c54ba93dd8d013b178a9d1b31afdf9148a47589872c1a3e68a27ea48490fa438f1ec918590fceb665e8eb6446c508f390f07bc993cee9df4ecd6c4791b2909cab513130f278f691776bb6a2e11e1
+
+A = -15a7330abc9c378a42a04c4b798492ce327cdab32fdda4da62eefeb68fc271c9a099f26dc308058fee835605dcd763823d9f947042d6f441a5bf9010d4d9e6b26228819f053f84a8a767e9780f4761c693e93808573e556d7d034255db9d02882115f79ef8d4514143738e5b209099d80682815f136b04206a69c5ad283fc751899db529de2cff3ffd0c12a61ec7c15e6945526f25a8c5114e13e65bb801b4e7541566c48d8321f172d764db5f92367b9eda50844688d882a82fb3c0c3c0
+B = -ce07f69af6ad7179cc052051c99ee5e6149245d6d83797c466ae7df9223765a25bbeba50cf7973fdef40b16f897e06305cc2a8b8d490ed56ad88edc8751038aef620238c97b6b1f8c4e6881109ec24ca2a2001147e489df685ec24c3551a20fc1b8cf0b2e780e10e1a172220839a52907c6b8ccbf4e8928dd67b3e2d012d3a66b2f830925e08669552093c6aff84f9a15fa500696f0051c24615d812d98f952acfa2d473edbdbe41f265da1c5a8253f94fb394d71ac1a70f2b53ebf491e
+GCD = b93ab0924e66785205e35349bf98be32a23346baeafad2b343a1a92d4748bdfc1ad4ed6b48825f070bd85b54e55028551125d3374ab572bbae5dae0d869ecf1094619003d52505edc54997ae517e1e0e3ab685f22144487d6d06f70d2a6b96
+
+A = -10ddcd0194f78d9e9f305d69196f1eebd49935bc658f8e5612519386949324e4a653288339510ed3fcd0900a06efd20d0498822eb63f170d82e2f1d05b33c91428d225ba3b41be5d1f5101619f83330dab2635545d91bc349d23585369ac160ba8ab9f7d2950f0a681c3604fa7dc3026597b702c71c46a5243395e43892370bfc8c4f5d395493dbdeaa3495fe5fe3d4cebdf98914448947ef738fa041fc42b22c2e243d2d71d428f366b01f33aa95c873f1b1cfcc505b679343e8d53e5ed4
+B = 2de68ae2c1bd54ec7582f626ccf34ddbafa1230946cecb2a31ca2f11fbc40c4a1e5da8d125a820be41f9d7a39e7ff7c4bf4cf39d1a1bf4316b1a265fcca2aafccc672cd8e284294993cc1f651ea9cbfbae24c15bf2bbff1cc2f8222e496daf770a859a8766ea5d67bcf1a14a8612aa47f9b0081fcb28bd8885f78ca45cf092d0815eb2d9f7969f65074f6c7abf7cb4f0235768cb74898d9321c403ebe010bd23befd6fa1dbfa65b7fab3af9daf1eb9138c1032b6d9f6987cdb44c37dd1f2
+GCD = d71858582a93f899c5d648a159f2a96d2aeafcfc5521a999794fb41d9f6555972df70bac71dfc45a1548f8f6b70f56417c21dac390efb1351ed54da6bb50da2fde5438bc9d8bb9ab0f1ce8a83a81498300f091c7a4ebfb5bd668fd170010c82
+
+A = 752f49dee1380f2018bbc5cd3f747ecbfef03d5987ba64a830a7453186f69d7196814efaf9a6a1ce85d4866588f2bfae03f6e2ab0d4e22d06cbf3d90d69898f10884e7503e821487e3a80ce76b9ade991db2c25eeecb5fa75d198fb0eeae483781f0ac7e9b51c1a8d8a48cd82fb953b180c263e18d9bc687371bcda75a17065a02e11e734e86b1ff45d0046c70252726e618fc30ba2dcc0fa89bbc984d4ec812581f2d59121d124f74ba96b87754e8911bbd83c9532f5a151186b4986b90a
+B = -c96ed7194229535675ad89f0c34cf58c106f992dfdcf1e3733bf16f3ac0597a6d336dd09acc941e15f284018fe304b573f92139abc33634b677dba353b37e195bd7d7d3fb25debd96d0dbe2c5ce065140ca20e620a11af163f07d043b1415231d33381010f44280235eb0a47869861757724e6d583734f1c114838d3e9a4edc91ea15148b4e2fd460fd1f145cb4785129eb4e9ab7c13bb8b64814da8c8f82cf815c3676dbe9e378765e3df90d4715d7373c16ab98c749eb702e0e538dedb
+GCD = 3c0f1a13934b1dd36b04e0840dd0fbbe485de70d5e763c9fdcb723c6f175c849b0b34f9e4b328f3600e798e14329e5cc2414344c3d0fb4cfa737b5f2db97b54c718157abfcf6d1eb144d77ed6dbc3a6c9eb827ac3f654112f63819fd8170fed
+
+A = -4f22885e92a59c6be618f2e23dd93fbfbda5756837d89b72ae36a99bf1f0903e5912aab5d3dae911a000b90a7f93d6ca0886a04d92f635fe632e20bcfd94879ec7bcf8d105f1ff69b1f0f8745bf5e6cc4be153d938cae44f204e8d95d2b91919e6b8a9e506e4731789cb7c157243084f210cd0664f88a2ea79fcebaa3409a4947dba2742148883f8627c4da184908b793a8c0eacfd5169f3af221df7c2abba84941f7a80297af5e0b7d6b7228deb7776a577f930737a0b8412fb29f8ee2f8
+B = 6ace5ba1d15e78c95ab6a09249103a06cb866b51c7cde2feeac8639ef52d3a2772f168e5d5ab4f6fa00ffee6ab67d5d05635e674c8e1904d9effcbefaad50dfec50f5429de83b75d7080cce4f19be6cbf0f769e4a570cf896405804fffdea35ab35335a67816bab449b19b0998198bf2599fd5405db4705f83858c07720324af3d2625cb479f5cc949aa2f323e7706be2feccc1cf146b824beebab309d969dfd4cb159c7d0fa00881cb9113dd97513b5261c2ed3fde16ac5df19240330369
+GCD = 53cecb07df45e50cd74e12eb97f74d1c63e5e2e3d285cf4c1214b6b097812a3e3fca40e7a4b6a72aceb7a8cc68edfda6718db1b984fbef2658067b5afecc7cbebfe35c829d193d75ffce416233949f610ae92c78e06d9ea2263c7632f97b359
+
+A = -3e4362fc07e4fa12017301c9a4e3af1a0bd20a0f2de52881fb408e09ebbb4e8ad3d922851ccc1ae538e1c0c5a9e1322d3bf6d68da1c876a81d8639e2b60075d818d4f333d5f5d6026ce812e0df7cc4ce8e0ced7d28a98c553e871ff6b6da9fa702e99aaa1b53b126d777d8691045d6121e4cab7f5bd48737e927c7121521705cb92c46b1d26de708269064edf6ec205255601345a2bdd716cab2f04402355650184da4bc03ab3a93caff40943862b3d25d3fa6efb9ece6d366c63b48ef92e6
+B = -3d7d480b261903541fe6e922a4c6f52fdf67772ee0805b3ffb0485f4fcc55395d7f49c0ccdc910daeadc79984f8cf17ed5db9470ab61ab9681ff14ed7ade9052c72dec807e62bb26e791691712ebcab24843df7f64b22f8d4ca8cef028c32086778e570129d5c7fdd9f8b8e47d9830f7b268396dd9ea45c7402757a7597634cd25bb1582f269cf9e04f2f07dacab0f42c6ac3e35bfd4ba7c552c9d9f47fe0d71fefece6a6ac916e398a492d6058d3f69d93b4a1cdebea36d1bf6ee72ab33c8
+GCD = 19db5a143b0b59f4a915feccce1794878df40aab0dbdf6c9fecb620528200d59bd980f1e55e232c3abdde16631e5932e2adf3623af35ed42b4f7143c24cf5155198f61f57598254326eec0f0176d9deabf751d8ce501d41af24de2c58f8e6562
+
+A = -1b6415af858a1d5723020b830eec479ceb72eb6b4005f6b1f1649999366a8b0ffe90cd8c3b6850c8494dbbf978a67313aad8696e2399d8e71aa665d68564ad1ae5c8315a648b1cd70acd316b46c08c63a39f71c23a2811833cf6460eade5e9d8bf154004acbb14bb19cd287c2a133e8fc229e84dea7026fe327df4f9c1156f605b03cd581b5305675f5fe406a8a5c2659a4120aeac6a7f64a26d553a59de17941f1db052e136ce385368d5a03c6f583a9ccdd84c830d6b06a665b0e6df255ec
+B = -1229e2ad72228e981ca63fe686a4f296df232787f3053eedc5bd63a974aabbcea28fe76cbba13017d237a1066124d7f983c39921a7f5e388de21c61254ed9ea9bcbbdf497c62edd714305fdedf924828595335ea40394336ba7c5f530239d4c81674a03b7ca369a22b94548a5f45930fbffa471c5003cfeeeeba57a1ea3498f07da5381fdbd0ecaa3f210ce1f2aef7d657545e714f40445e7e311c291a5ef5d8b97f53a4508cc45e7b1f30064078c26a0115a06b0f879b55b767c000ebfa728
+GCD = 1b8d753b4e1ae6629d08996872ee4533b72fa44620162dfcd69d2f90ed26b14fb95db3ed72f0528ceffa28dd4213deea3aebaf2a4ff494159b9e62007cd78503d638e040ed62f9f785514b873668d43f002ee14d57ee4e5397f0cd34d04e7894
+
+A = -116e457e99491a7ba2f413a366ec885a641c0f694a88caa83a6d2b2ae1c428e2e2f1702d5693ead0b274fff2bc82daca107eabcb801375ba7298094c1e24f58fcb8512d901284b901eede1a11ed28c9a66ab38e850c3bca185dc332af4ee78dafceb4d91a15bccf52d187395dfe5e98c30bcbdede97a4cdda0fa4454c2a9c14a283fe566d2b99a36db8839f9fa07dfa85af432a897bf2a7866567a44c5d4d393c5359247f11b1c228478d790a99d50bfa8de61ab3d41e09cdf57427bcb62a24
+B = 662c90fc7d355e284a889b957fc53fce481b262a6bf57a056fbd22379c7f12d9f033c6f062ca15a56ac1c923038dbf1c50b10739cef85f4df2f8d4429fa1486951d8be614d5cf6f525931c518926d12f96eabbf45774a93127c7a918c869f0a03285df1d378fd0b107c701f0726efe0b3613ecc435459128867ec72237d0da2c00fd941da335ffa143560dd2f6862d9c19488fe05a71c7902c1e22a512d1881f37603a9796fba1dc1522cb5dab52c3713e293a23969debf33732862a87e6995
+GCD = 115bb698c9d06096fd6b226f31b28ef71f3653888f3107d418f35c1fce565e4f81bd4a3f1ec25711096f685c24eab8f6ad31aa394e529b24b3bbd14f125d0c30904aa21c783127314f9921a2deab725860e8408a9afd7e2626280be134edaaf2f
+
+A = 29a3589618ee0b102c2ce5e1d23908b3fdee7b6c767a6bf9584861db17d748e364d98b731c5da72fbb05b2d8e91ba143a23ddbbb3ff305d5a1d92a1993387f847e308543352d9740ff259405f386dd3dbcc7f8cbd0b1f568becb4548acff28a0760e68af31e7c532d8b30e985b738edd351acca267d8fabe97bdb0be633ff541de8c3973c107a41c2f0a89d85158e9cb999758107568682ca4c5fb601b826afe12ac4b7538d9c728552abe517a3859f9213608305dd861365fc44fbfed3b99e
+B = -1508f73927985af5d351c23ff0a8e3ac402c641b111f01d17c36c0938aabfa6d5edace3c83de6e6ce491aca87dd2af561b2672602b9911ea15f424ba1e2d50e37491c5bc52fd02ff50cf6bdedd2649c66d92dafea318f7ae7b3724a3224ec56b6e585440a0a446ddd34871da1bd3affe736e862dffc324ba9288177c3a4504b8bb2e21925abb772c0d58587fb72471a13de67470deb576a91bca1dd253ea4d7f8220902bbfa8aa2847db00d2c78ac60d7951693257553b8d4087a91a654227b4
+GCD = 699a87037694c8e5c46eb62d692add1b20f7b62eb4a73a3269d800030e0106a4365aa642af842cf10e01ad599999a8ce2d4cbd3117e5666e60acb9d20223272b6ea548cb1077d4a8a92b0a9b418e0c790aaa3b71f91f2b2a1769465e8256f6a6
+
+A = -3755bf34cd5fbfd07147db9be999b5e85f010ca9ac457e9aa5a8dd248aeacf2209a368aed237150d62cc22cda4aa1552f98604f7924be80373807bc349a87d7cdda2b4921e9d016db3b9691b6017d3bcd3e30278c0aa274a5dc0a25b81f3c31b62d1effc2bf4dec4cc8ccfa9444172125f5921e42528abfb0d752a098b68555d68c669fe71ebf65c30623a4cc6ebf15ef9c2bb89f33b6869c048c5651b5b40ae10f7b113dc650b430327f32552e6d4c594b0a00daac99f56fe2e87995619fac8
+B = -605774f39ddf7883e6a5bd13cd3782f4b60247b2f5df09e77b7eca5b7d8c98bfb1be397ccf7dab73d8d4e432b367fc80a55321bab19755b247b245eaa9c024b2870296d7bdd32eab5b0daf5164600a4c7e337e334836c10b54053e787088d1267d5b83644f8ffd29e8b09496b7b6a4c9174ffcc7e477fec613c13ee365cb262e1e3e7a991eab31a2bac7ed48e9ce1e361f310667883a9a8c803ac5f8cb572c6c8e93e98c75e8aaf929f57b902e48ca56821cdc6a5e1c1a4ebdb2df7074a5220e
+GCD = e1c50c4699a8247d6ec400ad7a8b207b52ae8766e3555e549e248e10b18f06cbef14b0ad4af33ab311e4f2226c2bbe25b9e6503745b60c5e472dccc7d5151145c1fd9b86607cd6f166bd7f08f0c51f8e1f39dc740810bccb6edb55bb0b647c86
+
+A = -13031a3a39b4556011b08769bb552c083b219b8c03c988cb851fdf26a5844c2ce0526e34f27605d06d2afbcb4c26554dd2a8e1af51a8aa30c972f3f63323342efb342ef8ae5ffb7ab21df7d39fb01d911c73556235e7ce1c7a2e0072455330b03631ed077e0c037f30d133152972d210bf458073bd98e091f5e2bb049485e44f23443c299a02ab4deb2faf70a0daf42d4387f40f22565409a3a885a7465e694340336063f5618af9789afa828971bacdbaed05bbc95ec1f09c169e13147f46800
+B = c50d9f77cb2cfc8f8b832888d34e103978fed3f8db588b201748f9c3a3bcd8030336cf99e48cb31d0cf782a4bb54a13fe74b2be8d11fab69df21743faa6e58b6c4d6fe9d8b21ca8d8dfff9d709e6a1385aeb8059aa7798d7b05e54b2bb531a437aa2c691919df9824c9e264ed39511fb1a8497f71ff7322226a17c87c3d00dc23346734203b94d84caa2cd458b6568545cea6ce6ce629f9f5941f16ceff4a0c4168e1ac182e849417912ec07ae14d88c64c7c63c396548fa7da0ae115e470780
+GCD = 18cd3d0767e7995061a510d667a5a2681ab92d8ea29a6b6ddce87ae4401a3c02b535d410d8b33dc66e97cda209605b3bc10dcc3b5cd2aa5c58d4266faf25bd9592e7ef85541dfa49a2ff20bd2596c729135d1471099ef4d75baea1ce10e05aa80
+
+A = 2b5e7d009b59ffe20f0d376c51c3bad9929925b029ddc2e9cccc213f1e5143a2992ffeacdef5cc6d337afec29402c8096738d62fd8c46a0991225fc1015918f4a581f4336e6998a8add17123d8d69314c0874c744bb091ee2f1fba68b5e7bfda198dc9050df972bba863659d0ed344164ccaea4d7dddbaf37eeb7c3f310463b1f3350c9dc6924bd52f168b59c08b144da1cf2e5ae00f55967cacbaf976c1eac2a35dc26f8b81cd487aaf7075e1ee635f78e855d17a142f8930fe26911dcf34044
+B = -457e693ec38b2429f1a17a0805f129436a18f69e31615e50f9056320f8ca715b58a2f44dc7336951d070b12c4fafd2f611ab2ce52a0e1c55a46db90b626099047426de73aa9abb3951f5c31977f2cebcd14b9263f7dd2cdd7f121bf85ab7fcb6945c979c2af06acf8ff9a52b6d4f8c18008ebb59da98ad6c9de472c42adf3ff6f526c501b87efd69f48927284f9ad219080f923fc221a4f45ccb4f4d12bfc6b06ee32009baa6760dba8088383090219a0eb64349209274bbef180369b5ecdcd0
+GCD = d8856ee87419d6d67c402017f5b22635ac68da342cd726702afef116c964f71acf654ff757e2f41a26c0fe1a6192fe45b217c9245f4b64add4276d0e11a03ffb4a303dedaa8a3280abac053ed4ba4c80167904ce45bffe4d635e61269c0dec9e4
+
+A = -11faf74e5de0661b17b47a5048195ca4c7bc6082cb3e0e63fb1cb1ed7e31ae827676c7fa0866b69481b7872daf2c2cb00a6ccb9cfc224a86a14746d5a67d69a8ea92b9927b3e032d1110979b4741289f4ff276e45e94b0e198ba56098605af5a1aa1bb3f9659ff43a8229e7bbe5e0695499b11b51890f552894185ffe211a45d5c34389ce2d5783cdc3e483223d61ac2b062fdae09c1b6036b10e77940a4b06bfad9e35820d0bc51a6063ec6e0e3d0c1f544f4276ef96711dc7ef8b22429df9b88
+B = 102ea6ddda85e06591610d8165cdaa7cbd61811743d19b73b5df51ec5dcadcc045611241a1b987e2542f2a0400939ee1e26d0570894a37eca0631d837c19500851409c6cf69796a5dbfea92d4a213646a20e119662cf84ddd366b6fb245468f3d98b2105f6f682ecfefedd6ed53b99bafba61f38f487f97b31eb2564a1d71ed7116265b14de4efc1b027b0bd5df1ebb3175d5cf92f1eb0920bdfcd10781047853960061cede6d49d1b462f2b8da0bef4c1d6052b39107ce2888eb1dba734391760
+GCD = 37a9879e5f49a9fd939cada534434a6d19d1eccf974015e0304daf6c66c05f223bd7f9526d8de078dbbe587ab1ee9ea4114fb77a698c9646ef1b4c85092f8459f2046b6dddfe4b6e3366130ab41fbd3e96cf0139c281a254bdab1c0bc02d344898
+
+A = fac9b74e7f36bf643337fe27e889dd6a024ade0958eba72095521beb91398ce01ed19bd83a44f13076f30a21c4ad7ebb6d74b62a63e8fd458baa498f29db5a3fab4e55b999fc2a8954be04937c24b6c4df8ee1f1de61fe9a99722451c46ce16cb875fc393e2fd9b67c0bc8f712c4d3de90958b2106bd3c7d453618ac0b2bbb22868e22874927f1012c99915d52dd28c116e21440a841248732e98a3eae587e5dd07409dd9eae97d0a9272c1a74d7755d1698c90f1105f1ae1284e73429f396d84
+B = -445cd6efcb3f03d125080d2c67d7f8c8bf618de7da2133e34a77dc4553dd458318aa34b6b4eab4e1988c43922ac339f1826db141f1a2fb3f540beecef7f994686621d1531101451ba5b0a05c4ee39bee690f6ce76f7bc93311bfa436865a16cc42a9a333c37233a2335f974c8807ef69d9671e0bb5822a0cfb11ac1fb21d7ec947a4968b399539c4c8a07f9bd64ba8269cc1ca8a567f9eda05ea5f0dd9be8d44bc9d61b5bdd0eac0512229279b16e8ddbe233e636a7a8db5db44259f06f49473f0
+GCD = 97f75404f5c9ceebf7710e2092f504797e578c25efa278dbc785740c9daef899539519e45bec45a1812a08bfa5c7a34cdd9f7f8df8dfea1cfa15fecfde7f3dc24b93750a7cbba0b1c378f00591d4aa899e139e04f6542db95f522b816aa49e864
+
+A = -2ad89fc1e2f64e24a1b124cddefdcec53f6bf8094e681704c24e6d5e381e571fa516046494705ba52a858bc50d72ed7143c5a2da8465aca9f9f5efe240816dec908d91bafb959b3958a8824c48a27a3db56f97ced2beb16295cac4d292d77e092365ca30aba14e12d971250575aadb3f743ef299f72d6f0ba0a04c5621325bad959a883cd69c70710c491bdf2cff53bb59e33ec7b04027691caa5a0f119c213d5ae6a773649c7bc10c7754215b0f85850218d722cdb1ba1bf8644408c81916535
+B = -3579eb843532f8eb9d7726f041b455bccda78bb12e9431f5e4c95d98d3e7d58c5272fea65cd89b2e90cef492044fcc3baa9f0a604bcd699e42543aaac1c769c13152d995c55f347ce3448b6fc308b34f2aa252d574940ec7c8f7f1f3b324aa2cffa2e4ed8475fdb610f0f2a7e9f3915c90c9d91062b44a4195fbfdd3b8aa19a91d3e01f982fd3465e2851bbb7e8ec3b191a16e63726afd3adc6d2ed2f7e1abd0748c8ba97ce07e61ff3c34ae7b5b61a4c03daf6ee8ca0b8cb6c29d920594ff120a
+GCD = 11c1456db647775e9ddd34b6cba2020ea23010d94141d40100e1816c546af35ffd05f7532437719475e39ebcb09910dab940ff99c432e58335f10f6c783769dd0c7e837c5d335fd4e3967690d4cb0b8f6eaa780c1d065f4294747ef842ed70e12f3
+
+A = -7940560cdec3a4d3651d74977e0f3f76ad4bfda3ac9c7c3a8fb2883e4476d9b5e6b10d55437b262aecd2abbb9ac65a7315b56d43f4858b449dbc1b11129d9ccc89442f93889bfb691bceb80da46d2b60ce94cec4b8545f0470940d92e332cdeef2da73d694d0028749099147f7672652f1265151b1a5f767a20f5abe0acf0d50e9a9808afb957f438ff79484215920ebeb156c65883901390c6ce71756a7da0768e6122063f4f5afafdc527fbd0ed9a07a72aa6a19222f06350c92dd996d6b428d7
+B = -16c10472f2725323b0cdc43b6f4093ff527c0726c65713105c0cf4d80e12fcb8ac621ae31eebc24b3d87f7d1d6738ef8d8bcc6e065a5602c2bf8d04e7ef8b0c6aa3a66d885654cacd5aac9fd0442eced9a08e084e8e17dc14d4948e507329e91abbc5ffc7f883f69a06de0f967586edf17c4e03020fbb1ae80049ebffcf5da1d73947e0b2820c40d1d947557f11d3102972829a00e6218ed9d55a91928471af02945a909e709bf9a5ba1ffda783c2dc9a1131700010b817a1d67d9e706e139698ab
+GCD = 3e8d7a6f7c3f8cb9004d43e8a8c6721f228c035e92cde92f1f0e27237f46a171145e5e36a9ba2de9b860f55794816effedd4dbf33f9045cb4598f2d500b6847333affa5852c8a54f87168311fa9f5365a49bf959c744e5d5ea3b2afa494348efd9
+
+A = -15fa44c71af239325e9260e4fbf379f00e67de718bf10388d59e9dacabd2b6a6ad3d39eaee396c39d10e0b991dbb91ecf0afaf5c1f5471a637d2dd205989e29524df9123b43432d7314c3adc6e30e56996db671dcd0aa4295233b92647ac855778313b7721d0f4a2009a34c819915366f0db4313ad78db4a779088b47e902f66d43ad005b4c9c451ff64917afeaf21bece85a540ba04f999ce8364e60d08c1ac88f2cb0ed8312a8bc17387c5fa42be6ae247a46af677a701672a5baa423e1e7e4fe5
+B = 95a309437fb8b0ec7a4b95f54e7a297e71ccebbaeccb3ca21bee8d04d255d9b1a2d3f7cf2d79b75c7d002d713bf49279ab16d7bbc313dfded5d67cc9c6edb210f80c193852409350b1ada2547879d9a6f232ad6f0f14bd8ca7ffe602f3415560a5dee83a98b0a9a98c4728e4b5cdb2299a0806ebba850f51598050bd80269e3cb3555394acef71e9e2914ca61061ee9edfb6ab0b949496abe1ee14dd0b1b8dd3090f62b6bbfd634115e5d2cbf471432dae9f96e974215caa7771e84abcf57a8d577
+GCD = 7d78e98677795446e580a2575d6f6d5af8ac073bcb41f712cb60a83866f5e1f3271b0e502206e6ba5ed4ec7ccc844237dc08496b27a1484553a72ade7601d66851f65d927a7fde908afd682b63275aa3bb9b8c34d574fb1852e46a377a0f39c6a7
+
+A = -4fb36216ac23149576159af96915337f1ce472c924e375590d264f1f8bd8fdf921d7586354d252513fb4b62f1a5c2eea178c8f8485c0af8de936b6102d2433662045e9b980a16c4b33ead273f3e8e1e92d380e391058affe761e09353edecd8b56fccea8d8afedfa782b9884caa033d0a47db5e19e2cb374da5eca60d7398e20d1f8d246a2a82182ad009d517f733ae8bc4f6a282623fe34cbe5b17c1f0de356cae77b6a42c92fc9fe8b31fb7a26a7f403edc2657feb48e49b023e1354b8bfe374d4
+B = 1ebd9bb72a46b52446213338a26ddb6830423335cce495955209ab8a0caa58b839fd608d5c046374c78ef45b79802bc3954cdb5b07b42aa3b69e7161a21c1d1954f4bc74ad5bceb0a4df21d9ece603bc849d68fb44f77cf36f9bb2f054309e9fb02e0477d48f122f40d14d445a032bdf3e3f9d17b0671471e72ae31a301de3655073d77f76cfffaab30b1a636753d6f9c832dc5bf632ddc59fef52bf2daba14ee90dd56b2cf4c2edb74f10cee784ac85f32a38bfbfb9d0cedbde5a819ce8ad7804dc
+GCD = b10689a4b5ad275a4bf1d70bdf4af4a3a9e23c2ca5e2e152bd979bed923bde249be8e63f9690a138cb56302ad1b040d430b1234069fde127d2110eee5982ce8577cdd6f414524b240ef879ca4b4d2358ebee43bc33c194e8a8301b1cc648cdf0d4
+
+A = -997b2a54ddd367301ad8ae5c3c9fe62b4acfba91553a35c9ad42ed20916e31e4750147d7b7bc7dfa58dc0e59d4684893c9453228cf74cb6666d4e8e6e31acd8be307e899959a15f31b300deaa5fcb6962e37c0e0ceef7a1f183ef4c38eee7962bb593b696ad0994b18a874ae033c5a12f5f2c7f021319cd571de566a80c27d24ac325e363418f521bab77ffabe6c564edee6048e72df8fe7b8a75bb7715a6ba62627f81e8f36ae0d84d1e612cd25c9878cb320d648e2909c535d85b4ac958d6e6c0
+B = -b67b0710bc8ff145a49979a7375232ba41973997074ddac30f8b3f348efc98d483e5f63b73ab4fe78769079a4564dd04d49c4420a5d3d4ab0a25e27cb6dd5574d2cbfd164cfd7fa7c2982c5268358de8eead68eab73c46ade9144ccbd46a6e4b7c6fcce126c44af7d706bcb978b8d3c3e0b9ed1203fe541ba9807564e60e7e44bcc4b872ec3791424ea693311ffd0d6a21f2e7243a82658c06897f28f9437c3248e91dc6628e0e675698ac0c5844b1e0fba1564e7b1a2c36c905b57769794dd00ae8
+GCD = 320ce00900e6f2f432fbf7d8d6c47f62a951673aaf76a7fa8d361ba9e968554eae39c281759d270c9b0869448ef6391d39758392409c9b8244337830a1e8975b53d71f8866c6212bfd34ae016469af33dd4ab7821266a1b4937e659e74f99799408
+
+A = 71aa7d9df45dedfc873eff26285941097a2c1f12f044cc6fe84ba6c821a3026e73d67d2a8eddfe43bcf7f0faa0db9fbd2891019cc4edc1bf5f4b4dbb2bf506c64349284ddab7b4b4aa55d79701a856c46f139bfabfd698a709101e431328db2d006604ac624b7cb00105b84fd56e42432e8bfd7db568d2a41702eef95efaa8936d2b799d96c59cd152897f642eff8032f5c04d919b502e81e99beacfeccdedde065099f43cf77c61def35415961d7e088aa2d54d76970496133a51aab1c59a48e2ef2
+B = 477f8fa9aa3afac8eda8083825f8866fcfaff5a90567510df1d271bb2572c38f133e0c3e071831e107587c2baaa1ea26a426885f201ebeb3f4cc3c07331758c6e240f95480e312653187b532000e6a906b20c104bb42054ed4374d0f3509c6fe54675dd556b8432f080c087e1a88de58b65bff2f9bf2dce541b3e12c7ec73ba414d04d73bb2269562970ee7076a380c912e9427b070e8a4cd7f2454975092d25681f4f7d5faa29c02a12531afbadeaf93cd67df29be8a1745a6b0183e1452b61b8b48
+GCD = 67adaffdcf6e6fc974323336f753158ff91837a5f156dac056d4c2e30e2c9b96bdc990097817ebd6bc5088c4694d3444781d0b8054b6a24d0a1db1f009eadc5d6acdefbfcbba2db0b4ac819b62314af48fdc0fb5dc15aaf313900a3bfd239cbb596a
+
+A = -109bcc9b5acc608206d9c03c1c65bfc25754b6896836fb415dacb87d3ca79a1a5941f9beb09d270ae36e7b9e36abe396a40ce8d50784516a06bf1d4b20d186ec32ac4ac554d268e25914a06eabda9086ca7f2811f59fc3a03f421f293bef714813737db9c077da606ddf3bcc5b494b6bf16d1a556fc7f7c9cc3005be39c61391e1cfb63abcc651cc6a77147c374be86ea4eb9a97e2472c51a7dd35e705825baf0694530e69289c4b15c4cbb347e33977573a8b28c9e33a9eb882840cf566032042af94
+B = 16ad52c23583867f853b8f9847e0f4ac758b12b9ecc634c51bb010511b54f858a849d236d5f7b22c02856b47f7ee7549f6402bae859f1bd0542dad481ba826f5baba64cfd906111992addce57535c0f0c8ee0d1fe634e08e1fe9a793cf84fc70e8b9bf8b0a0f0bc14d5d84927b4737d1e97eff6f779767879938a9ca4c5052ae101895fabb8580d0e974616f7e895848c7e446f28bc139bfadb56a8b23e7874e6a2e8ced2dd7da7b93a2490f6f6f4917177722158aa243c010b2a0302044b3062c0c04
+GCD = 1ce060fc15a751ced9a3185743d1ae21df73224a90eb9786870dbe7db9442bccef112d713a1a9d2d7a9d39d9a6d4427e47112f777b0505030bcc4b514872fad8fd4466830cdf0d76f1084cf53768b7d6df333605243dde403857a1d8e08382d074cc
+
+A = -320d7663c393a90592c5947bcf3891d2b78aac9bca762fe79c35f7ffc3307e53cad430065a08f487da1d14fd6a1f821de83218b3b69a560b1ebb4ad3512bc7888c7e56fa31d4bf9fe1d001ae71ec5927a291b2f7a81721293f0990d7fa5d640adbb7147ffab0d2f8abc62be210ee43e2a283de858ddb0662c6f780ef6134bbe1d078b70f6b66289b33b108e3f1da3ed60e35e071e6bd33d9a80b95cdc2baf333876356562ddac9dc832526f706f3f740eb4cd88aaf1661d5ba55780e0e375fd8404cfa
+B = -3e61a205298e015adf6f85c5cce0eeb55017d654ad457969fdd40b8897e1bcd579a95253efeab59a6b96f6775237a8ee1e12e3b8914efc9353f39af123e1bd65d6a9de28d9ea7e09b7d8f8c2136047ed4b7de125468f0c3fcf5e7af084d420513ace61d93b69f1a0f5443f371db388a5a9e560fed09c2d929b111974f8cd67cfa0610d06c403cf00f9cf6c946ec8d62fea43d0709465890a47a16048aa45a2ae9c7dcc061e0b23a21214e01816813e5d3a46c7e6acf92d4d190c43ef3537103aa16085
+GCD = be2427bc76269ac50542be06f4938b86528950d1334d2218bfdced9a66662e86910d82ff50725a97fb626484099109353b97fc32d01787d3e2ba308bee4ea2c8c8ae649ccf94a3e9b1c53d98b02319194927704b904316ed37a2d77df06a0b3c9ef
+
+A = 5cf2aae7bd0d43aaea244ef29ff5d5f78bddb9c7ea633f96642dddfc4a2ef8dc8ec290db003f1d11b3f90d03b0b25234d0d7073099ef57b9b177d13940c41a8d9c3bdf0a7f84948309f2a84d68cea93e9cdf96ee3c9e6310d425c0b03c40d01bbc7db7e4e5e39371d538e1947dfec6b2cf067bd99625d37233bc03a381eb41f50483d9efb87b6cb03b838189e9416fd0d1c64160ae34cfcd2bbeb77c630db0c571e05859e5cc31e398c9cccfeeaf6e1ba0f5f70e5c0fe199be108ca3d377b5c9128de4
+B = 13b630132e60e77e27eb67ca5845a3c48068d02598e6b0b59307ac26e5e1315520a71a8d360933bdc02a1aac05234b8d7a518a44e29b322bb32d466215ed1fefdc3071e0c1130f2c8e2c8080b021e6127b3440a395dd67e1f5515b8258a0b04421e0ab5600cf8d4cffe12fad441aac330919daf551aeb88069bc9d5fbcd0b364e19e0881c23230c29b291c7883d76f4fa0e2195b87811bc1aca3210c256ac2d9ce7ccdd0643025035620ee4832838acd4e4951b675cea702bb15ba8143e0d721282ddd7
+GCD = 1d933b6399aff53344bba97bd6cac0fc8e12028110b531cee84241c054141e551158c242b12505af5424a68487aaa786102eca79126e277f92dd5f4fdc4c99c97da9420406b050d1ba9aa190ea192c2d1486cc56d57e21a49d0413de50822f4e32a1
+
+A = -3aa9180cd6688887184eafb48dd22dc230738306f3b638ec8ff2b3daebd0fd4c5f811e5404676bf16f09338967445d154c1869b010e31b2de3ea21dad9fa6ce769e983960c3417122b3193d079b5f2732e59c6d8f7b2a6db7e889656ba005ddcac2116d192aa6952db7e3d5d456500140d58969f6b0a45e3d7ce709849fca19b481f9f62dbf309536ba07e2ff873ce5c5e2ea61fc1e2796c0bca9f90f61505db8b177991402c19da9f99ab3d83e4c4a69d41d7b2944b177cbb7cb182255f017cf4eada0
+B = caaecfcae71cf27ab410be8281378b8d7f4658bc3fbe63ea53a7a8bc3488c2ba846ce8584db7ad22ac923f01ef5856a18e5af2e1b1f0df3631838f252b139a6b08f22964a949dd20591ec735f8581fe46e4b33874613daf5e2c4d768698f966518ca56e392e5dadf6c555c4a647fc120ea2a8fca0bfe1fe1d706f25c2ec9df8aca9699f21b31bdb48ce805c9a0b05d498a764393b9a22f95d64c63db8436ef4477cd0e8e60e398662988bffb3ffee5e086683e156534554402d4fb692102f511eed110
+GCD = 26476f7570e0953dfcee79b15c46347b79d9400c1aa0c03c18100fdf8df79d8d9bf1bef6941cc969509f10b144fbfacbe973534c1a34006fb76c0beaf6dfcd90d36dff75027c218eb94ddbb130ad240b91e30099ad1c795248f321c066ec9c131470
+
+A = 11b7bba00ee2b94e3eeb03f89b40977e242c37a13f4284cc70b91f87e17d905a3aae5b60d9e9506c844d3d81f6e204d4d57304e690dc17303dc9135d51941645bcd47f62e97059d4da29dbf8281e8eaef04fbc9736715530c8cac368d5b7e305400bcdd20c7fbe35da2284d0bfaba3721809dd6d9a07aae45e356b1e686031785dfcbad42c2d44df90d1b1b56a60547d562d0b54b41ec7589dc3a5dc92d6c3303b6c5c7cd7428ddf5cdd9b4aa2bacb1ed90109ffc872d8bbaa9cd9fd884ca34fcf357e0b
+B = -d5b633efb032e68149dde2fdd02cada1c687cce6635a14b31fd8a21e1a222fd307ecdefcb34d521816a3ed7db3662270f8c20036be798cf90098a40119ad32b3a08555970cad50ca5923028da9fd2efd64c7f4c4da013c1e8399f7f8cf3b99120dba559c70ec4ed8b0b2b4ebc6bbcde716f5884e3af177901e8be6d2f19cf13ff6b0a893ce9397370dda052f873fd446d05bd3de3dcbb0c87575c028fbad95a5adc6ceb149d7da19934965e4987b6d3fbb1ab7c047a94358f7f3e42dbdfc053a7db1249
+GCD = 5659d551ddecb6ccac3466c4f5d40d7be89ca7f12452d6728b0ed63723ee77588fae505d89ca2283ddd59268267721e7d1f5bd1e82a74adc141db003b6ac217cb60c00d99240a0df6aad7b9fd9d8b1a8238dafd8589b052f5a457ef2aec4f8f2dd9f
+
+A = -695c26f5e9a7f84503f14b165d8458669d729db288b143a3de9c32c7ddd1eddeda69f6683453b49c3096d572900e5b740f1174bc6ce963e3308af5ed13721f035fb3471f146939b9130fa6299b8eb23391848aa1dab850b1c4ad6848d72429852a8ad324b57ba400ad888f9ea4d9c2710964cdcb59dae6a384ade2e9100a48205d2d5082b458f6d950413ce899251313f929010160199298c8ebedc791e020e440ddeb155e0a43e423e2227a5f10b6b2aa142ae5a2efc8a999eb8088a4a138dfd717747c
+B = -28a8e610b170d3b246436a6882ebc62e05661856149776d260cf5ae4e9956bcdd0fee765b119bac20a308ca4fd73bdb8c5f72cf3684458395997012b886e7556c40e343e09094246d968de4fee47819a365143eb13cbcc5df1fd6ab98bab489f321ae77d3e4cf7ec7f34555a35e5b1353c5bf2965eb62aab91f2eebf65a2f25039350ffd710bc8d1e66f857adc3e5a3edbe6e9bf573df78d2ae92b13d8b139849dd7571b1ef03f31177c88334422ca016f90f303c4e4286f298128d42f43c518876f95bc
+GCD = 1af5be2ece28034dc8e6172ca51b10b1cffbab170f13b1b3f3573aa2432f192cedf63fdfd291399202027244097fdc24165d417766d73e75500a580cac20e3e579f111b58d672ecb12a0bd3cff06995401a136f2deffd492b1d741cd8a5ee11227bc4
+
+A = 1bf7391a6135c8a61a80b3d73833050f7aafa87cad5a74be8caf6222e0af6cc68aea584192ee4e640b31495a4981a5465b9260103cf502dd3559b10a9104422051b6f559cd8000c9f415d218ef19fc09f7a17c98ad52bca1ff2459d7ef13bba4b0c802c28ce4f65dc0b2ea89875d3420aa23424f30244694f7365e094e304e65d149ba4064c85e3db83bdc3ce5a5eff5eb4a05ca83db90e355375e7e58a9411523320926dc3e2b6a58d663ef47085239f5289dd0f5df6dd4c538b4245a9e0cdac3074b8fa
+B = 285b79ffda0687c16cd380dbb6a9dd14692b1ddfd6b337c576f50e39cece9e7b45e37564ab2c57790f231f0697eca517ea455abe444f04312356b82c9c0ad2b8aec3d2b1d4115ff6ecb965eaa9046292e3292a546513eaf3ee030814b647b21dea92c3cb574b64ee8fe6f8d7064269f19f5b86702d05d92212c2c1768dc5776e54cabbfa2041b3fd7e54fd4c2cc35d73d283f27d597b40d075740dead24c2702c419d702ed964c1e9afc021d9a51d9cfc412602854853f669b8c909692866bdcea1ea0f0
+GCD = 1f7e11a8ce42e2f739a9dd09d3c186fc24be1fd22261580d491e4d96f70b83db80b91c670d7e36fc12e690ec7777c72d11cb0b76459609dfae523def75d4484d030dccf76dbf033958423cd05822b1cfaa3a005deba7584bfcaaf996d78b7925dca96
+
+A = 39e4eefe6c7e509f8d47c39ad468fcda0a2d2442ec94d7789c62acdc85eaaa5457197d8b2d36b52380d4e30ff3fd4f31ab6f07ae3089ff9ad70f1bd09b6b4982c9fbd68f8fd1224dfa16491c7435f7edd894b6ed9798643839b622615a5da088b1f723cadd3b743ef2bb30b783aa96cdf42ed9788cc959ea4757aecd8ccf77cc0688d0c79f77de623a86ebb4825b7cf54d1c278928ba37b976759c47d0077f5621c0d091012a05ffc4a51b52df1c6bb6b367829d8f72b3d5b7bd87bf85f59b34d4d7e8460
+B = -1f9174affdd8c1aa322d5b7b51f88d48e28894618470e787e8f3f2cf6a201848e5f414ef23bf5fb42811ea888cf94f19a5df110a8497636b1b031eca9958ee27f86cb483a0290e1c0739889b71f1dc6fd51151be52b5a43c7e5dd6415245384875172da04328f57951efe1dfc7cf2716bba73b14f7744298f17d9b005b5df2f30a28210ce479f8eec1011b8f4131132908eb13e618398c758718b5585171c60b7f8131b36b58df19a38a441eded741e3b35ddc700061aa6adccbb1f1be3c9fc5d2b073280
+GCD = 228140e4dd67e44b6487826dd57b30892cf69368ba0a14b540bbd13cb45f776763163196faca6649be8ca338b7192d9089b055d9498ad5267f201ec35bf24aba9ec390cd2b035c9395aa698e2f5441f01c2d7eeafdb9c3674c26145cb98ce8d2db2d20
+
+A = 644cc77d65b67b61afd6fee8d89cd9d00ea4b543b3c16b5f33b957b8324e8799ddb135bed175b14c3e5740df1beb7bcb6bd205d341c43ae5f80aa62bcdcf9d6a4afcae3b854f0fec8e173da51e67b027ccac2ec3044c0d0dea2d6a23fb8068ecb54b3a33654298fe7ece6e5fbca4c10b6cf33b2c1194a71dc5ca2ec6bee3cf91dd3485406f94681e3c63e8a9be439d218bae8ba40c21f8c007cc2492a72e83b2015e2f6d7a0d5f7a3a4403acf1dd11690f1d600a02da88ddb5ac9407de26746052333f4cc
+B = -158edd961ffc597e66816ccddc1f5704f160471f0415a41164252309181c39c02269f423978e32485ce961435adf8e987740e0d2021c9ff19e8374122fb87043d59be33fe3bd554469d2b35eaac461ba58dc5654f863e18d666b17e6cf3bfb3559937d99a3a2e1298203184d1d90842709785d13d79ee22e31117fe01795b2ee587e78734acc86e0d28688099c491103d1c78416cc6f40b084c941cb13353d358606e9d535a361beb727f10615ab2262bb2de2d130ea21215d154c38651c269af064535d0
+GCD = 5eae6aaf79de173ea82b71dbd3af23ba52676d8054223922891bd993ec57ddabe7e8ad9616d3d8a8d601a5d7513b332df14adcc699bcd642a093b2806a42f292ab186e2edd43b1c5095dd89d64fb9e6312fafa1a7d52e06b1609585d4a1fa50675efc
+
+A = -422c530adf6e4cb7d955842733b2e0a51761df56ae8d40a2ef13c8452de64cf12be8c8c496f3f8dc6155fe6bd07199d2922b98c345dfc4de57ae8c4b5157f9123e961bbe574cd48b5d9aaa949b26a0079404873bf1efbdcad0f1e8002e24f8a719f7928a5157c0c4ddab1e8a605f23a68b8a369464d36fe3138991531af0490f1d446fe389465ef60c650591b9ddd96669ed6e2980b43d4f6e3570a339dff90d5b6b215b179bc039402b7395961aec27d93549ccac1e1b14fd2efb4d5102725253bfe9768e
+B = 1bcd86f0cd8cc8f2e3b282283ed15f8f0cc75c28732d01ab368425d2215d7dac3e3a4adcd0b431db4a6bf790835413d0abfbe832956d791804596db415508b17ad4aae9da3e481286806777c3a048261d3bf59cc48abffd3025e9ea324797c374099b376bd9d7978ba2d0a3e8a622ca0bbbb6a698c09e0dd4d8d4b434c4375a5ff476ecc7d77557cd3e61c119c9f3c64aa27aa3cfe13984ccbb7a270d57aa5267e82d81ccc471bf23fad29b9521df3f3ce702fc4dd52a9d5f46b1cbaf3fb497efc3dff0351
+GCD = da26cd945d466a236b1c9b36afa60a1af9bcab7016405814858e2c954c763ba9cabe19adaed4fef51db1bf91dd415fc200598cd059a34da861502330db764cdac3c52137b12686716bdbc691ea71f2030ac99e73ba38df50b6d37aac0165a0a1f8249
+
+A = -32f808d3dfcf394d8b153f0ec65eb196fb7db0160623f05e712468790c61176c993bc5c43a36dcfdb9a90d8b09ff0a78e98e87f1985bddc8cd5bbce4d624add27737235fd3283fd2a5aad6c8119c6bb96413e84d372eb4ea4357a77c54e6b3dd82e8a35f6d380bd54d5c3acdca4a775930ac63fdf71f1fa4f9b8a6350057eee8bc94ec31e418c459843cf78e13c58487f01eb8d36aa51f59764d35abe2cab2866468cb3373042db0472c8ad6ce7aea3202777ba0b56a57b75aa050499117b648033dd4e320
+B = 1f7c102fc70a9e89cb47498aadfff197a7995a09401bc1d228c04630d1eda98e91983a61760c00fea04af1dbafeb9b60cf1c51e9168c655d32d11e5b0513865bcb367fd68497e53eadc4c83956b89afec9ba59b674d6d052e93c5bf7878c4c451ce0010bc7feb85b3d3ad20a591c72ac61a5e1f52254e952bd06a0d6be0a757926abd4ea590506aa2bdee018ddff8bac3825b328217f0207c001f1ed933b888978ab7430e504673908f5c120288a67e8ddf3b575a198d790029595b2ff96783edfbce6d6580
+GCD = bdcaf72d9237cfe427df7897474c708a46073930e0ca0ac93849bef751b168210b26ce12513e2f4bd7570b926d21a13e741c71522ea3204be3939cca85e3073b608530720a7afa37d3c6f4b397d5f2f7d599088f3df5f35c305e70e086aad930bc5b60
+
+A = -401305e272e7e9a14db093ed9d2b80b20018a67f7387f98e4e068690ee2ffe73dfce983ebd2640d6babd16e869da39358769292539df36b8bd0e9d1e41b8daf9b93df93e206378675df5ff112e95d56c5c19092b259e23d82cff13a34cd3eb418a0d9637c646a79fa69ee3dc3e5730e1e295bfe755425ccc22fcc633e77131a31880bfba24e7bf3723d6dfd248cfe72776e327f8f8fbfcd955dda598ba6d7d7d28bdc7329008326de5418539b6b9a229c9fc2ae9c51005b61563ff294441e753ea071eabe24
+B = -39aba6a13caed06f8594850f294fd43407c4a5f39c7b0759355e0fe404475cb0d4dbe1e9fe9bb19430a51724fad6bef02210fa51d7e6b3baffd9b19e03a2eec73821242660d11309c5914d7d75faa1833c58dbda2fbae80be5f6cafe9a735e14b3ae5340b939a286d242c0d6bb6787e41d1233516f4786af3dd767cc26f0c8245eb118b73e13226908ee7474db3cccd15ee4c4bfe97bda6d55e6f16f9164cc75c5eb3cca30caaa5ad7e9c555ded9ad8ae454729463bb6f27037f6c0a3f20a1d84dae548d608
+GCD = 296a1bc3c1848d61cc0944faff02a35e2330137eb357d7e4c00edd9fbdadb3923a376510eb1a8f9a93849578ecd8be586221c069ee590cf55ecd10714459bc036d72ec0da61a92a94f77e6d5731b5248a0e53a221f62809312226d7dab11c66b7e59bc
+
+A = 86712a1d494814294ce0d7fa6337e514acef90aa1963c02674de95ec2cbc8a737978acad7c4d831f340f0c6fcdada3546e43d10a23298beadd58bf9327c8defdc06e75835376a9d8f146e2f5c2e213a07cac712608c33dd1f250c11f597b901f640e9136652bee88f275e91bfaaea641c29469177c6888f34a9d75a8ffdd17834a4285e2029d5df943aaa47a2817b356cbc127844585a7ac066bc0fd9be34526a902bbffc58dc71588128025f4bcef09a15ba169b2384351b2a053d5e72764d5939cfb04fd4
+B = 1a069aef8d0bea0bd4316b3c403c998c5edac6272606335eb32cea42fdedec4a3263f2ae2d1c6b4a317e02f8d5eba7485ccf3271a6ab8ca365f47e092afe7c5999becb03ea743f308ec89b8bad21ccae53d678004711ce1ae7ccee56d7aa5ecb2fc910f0063abeae01f4600495b3e8d821d1982ed39e4274fa9babbee5ec89557abe7a0be9fb795cfbb295c065779ec94b8489e7af59990b641f204d53f9b9a991da4ba22a58252f89bbc7c92db6877c88b150662de4f3b10303cfab3cee2542e05caff638a0
+GCD = d457fcfa5c2c8d1386f68ad13e6a9721df829045d0375a34f40f67df66452e63dca9bf8ba3dcc270e95a44b7fa4105dbc0700f71155161dd776423def3b9373228709b2296a2237b7a630e9753374023b6538c41e575c32c6a63db5837534d2439c6e4
+
+A = -5e0f0550a74b8682832697dab0d6edd0d6b98cd049617b964fd663bdcd0299395466b163bcf6b371594c5ef53a94853e89dabf2856a6a9a8d02b8e8a33cbce12465518d1ca1369a6cc71397ce0a04aecba72a63afe9408710fc964bb56398c35c1f0e42396698049cf40bb99e58658c2ea8f7ac6d7448be7c2b3e0a05c4c3f5768db4b83d8221739b2592d5516d1cc8a6611c1a3ce2b33d5082ac82b468c79abaf3686984788301186eb7d2badec1b0606a77cf5d036645f762143c70f6f8d90cd2bd1bca560
+B = 9fa9c99fb2283316b4d44a897c045c862c71ad8fe64f4e5a57337df296839a7fd1525f7eff657318b5c6c049bf69ca63428c23f30aaa8162d68c4464edce2b1ab0671ade48177eaca5e5f8aa93831c813bf7769037470177bd393e652a2de7f2c7c9b93b2728d9d9abf55d3b9b8c784567c4477f646f72cb794a5f7aba80572bfa0cab7923b4783bb2407de5aa1dcaed5b5eeec4b2bc5bdbac83ef6f631bfbc2f8f4aaadfff07a113057140abb45cac7b14d8a7d6f212b303a1233cfedcfa70e14ee83e3d20
+GCD = 45da7875095d075995feb0bff8300b601b290eb7e3ad96c575f1260f6f11fcb9890707f2c82e4ad4ab92f739e8a38740db1899a5671be5439288aae52eae699e78d28a0c9b7ebe3c081bd7115cbe82c0beef65d0851bf22eabc9f331f7eca27f023bce0
+
+A = d26011e952ecdca58fdcdfafe64b56306f0f589f37a9ac094eebdca0cd827f0d9783cdb2e41689489f505cf313874437b96cff001715345a3f2f89881d762112d92832ed282a1d81f3bc3070438846a0bbc5eb9fc27087fb650ab6a7c8c92da898c6ae6d89a43b7f6c5ca7b361c9fe88e61f16465dc9b1d318e0ca72dfa8be261e16913e4d98748b416aadb70fed8a116db796c2d47d4dafce345cdc3c5c92ee8ad2ab4507d7404e454994e47a1f17ffe2d457a2c102bcb22bb99006bc56c696c77f0afeed07
+B = 908f35015d4563be793b5a956898a065218b6ec9c065156dbc5f665752c18ee78ad6115c8b05f402b45f342e34a9c33a77071e9c4b2950cb184c32024ec6c52830d79c107e5b6d1144ba4a2c0768266a49095622eab60a7d41701b883f9db6a887688b5ff8d828c9c0bb9829df7416ef2f992c8ec9b0ad5c98a1ac600ee3ab59228698a2d09fe3bdebe8fd0d7620679a4b69b8eba92f0bf2ade933a9e3a79d10a886254f3377a655239b160811d4e80b33ed04dfd4ae8672c92f83d1261469938d7bbddba6ac
+GCD = 1e1b191be6d4f3db6410c85a3681ab54d7edbbfc83b7ba899e8b2a46864fc159ee83730e7e45fa10807bd83eec8372f8add9a5fcd9a03320c2d5d7ee142a9ca6f1842d3da0ca3603067510df4b8285e35d6d12bef12a90ae773ed516abe0db6cb936b9f
+
+A = -3489ade7022c6ad6118669e7e5d24972ab558badda67a5b9a16d9411442ec8502a5c0a4fbc297074e3d2e923597b76416bd17fdfc1a7b49f7a0e7889a5568cd9c9b388b205a053ee97ff5f8a30507979e9b2d03ddb3f54eb97013e4778b4001eba2723dd9a14050754029d6c3aade4cfb824fd24b4b57e2a7b1267c3ed7ccf16ed9cef3154923f2bfe8ea761961ff2d143c2f8efd19185b131adefdad2c765b57984482d2c6b629f1cf13f9e03f223d33df8154e2c1740d48ff245cd3f3547ae17f62706f1612
+B = -7ac6dbd7fec276931ce753183c21d71d1d2b20a4931b931c9eb973b2dda39590e9b95158c47360b3701ddce8e843678cf88fc7ea90de70644070338725cda4d694918c83ed4c490770097ec83b2984d255404c95ed2013ac119e9e83d148e3fb9c0250edf98e767253890c8672b306c1b9d8abe438ef8681a5c6f60ebe86e0a2dbb961dce73a690fbc0143435bbf912a832b4df1b7155ddbef1d939f30113e01f6937253b6c768f6a0411a56495338e7bf2d21aa126c221d7a9bd8b1bacc7a16ec514e5176a96
+GCD = 7b9737769106c155ac8c20926a401649535e016f68b5732d9247b8498dbdfc49043cd2c8bca28c95e1f381c47f4b032bd6dc135a8ea1b2e48b0b4497c90d063e23df950d7d1fa6e75ad3c5e5d050014d5711cc0a0140a387c60762e9e7a8423c00d1d46
+
+A = -5dd8db2d99489626dda66b067aaa96f395a9bbad26a93176ecfe52e3a71bc0fc1b70b2c811445b7a9a4dd9a8ab30a934e993e6f18bcd01d2bd4a812f1473915275c9c5a5bbb67aa06be725022b99442715813454ba612a85cb1df6d48ea8dce8b896bb55a0bcc9b94fc1ab81592d3735415db2a6d3b8261c1eae2bcb15dc7a1f598ed684a4f6c7d40e78aab84b0c68d4de1a86520c1eed8e172d7758b23b9d42d73eef532be31c0ea6a01bcdd0a4b48e744d18c63ec0e3e7f49c9f219b1b92d7d12ccd4be00a0
+B = 16acd6d305384892e53eede09c586bb10d905a06ced4a0260be887c6c14d6bfa95edad6ce334b7f252eec9c66ac71d8976148acf50927f9ed84dbe71fd350c8558b0c67009a1b131d14e317b16d127e4618cc8fb6f2524eff9d4db519a12143a9259d1ca5151df2ef85f372d15bd8bb50e71b50f5399e580db9853ac14dfc505fb57fb2c6f00003853e23944b1db5177733dfc5bfc7601b05a83c508121a4f1ee6b7e617f6b6fa319932c17446100bb50cc82a0d48c9a6d5312c098c4a6e36328883e309961e88
+GCD = 1e717809d1cb24d62b0c1680dfae01ec4cf1532ed989789ca847af25d38e082b3e7fae8c3535e308811acbcd1ccd3a4dcc8178ac968bc9c3c4319c3fa499943e02d342e8cc84d5fa51d020355b052a56fdf407404452d560ecb575af580132f8428dec28
+
+A = -17877ecc7b471e7ae5c7d40e163946178abc88db713589d1968042ac4e3ebf2499dab854643d0aa5cf56fc102cf87583656da11683efde0b1f7487429da4ab0fa1931f8b58a7e1df14dae0b1b30c534118ea7e1a3673fa3fb1556ea07bd1c893ae663f18f9bfcfe13d889fa536d605fbaaed1576626ff377a95584a01be912424925f331aa2d9cd76f288e0d69359f7f4ba1947fdb00539c9ffc210629b6c55413807e103aa678f5e73a3797c4c0bf134d13c45f35ce444c3f506621859f2ca3fb66189571f690
+B = -12c4588c9da5e78115800d028d19f30a8a85c8c47f708dad881548fec80f51caea08955554cd1dbab36e62aed8f0ddb14f30fc6fb618feb92bde94acf67cdef5e9b4bd55186df482c50cca46385c7b779d1e17b9394e7a32571d6a7d1a24306444106a0364183cd972f9351959f7b462afe860956fbe36e93671d13b55c9c001273a01dbfaa5c3ae906bc5a2ee98485e8c531665fcf588868fbb2a7e0b84d06d20cc507d8edb01ed38065eb044ce556b21f3a34fc88b0ab317b27950538850c6c07b5bc5ffe8c0
+GCD = d5963bb1feaec15dccb278d3c47e09d9550c500a23dc192ee3a5e990d0f13cc0badc218738a7bde407e657bff4a979f7e387946483fb1f0c15ad85d6f2e977c68a06ca49a43d3bfa91b03707f824d569a60adfac9e607ac0c681208db395f8bd17f2b70
+
+A = 4ee8ad35a25975f31965c362c4f43350160e7909edeb21cd702caab319e806f522d511c4f15082dc88d70c210eb8127d389d9413acfedca32f9059a76004648871e55991c44be932f5d0b6d3d9686dc7ff14f411fdd605d9499473d273c3a531657de0801577db7b2592506d9f1c4e8f2dfd93702637dbaba8aff8615427fb6c7371da1fbe9cc753fb919f7a5caabf0e5f9b3ed1d1b9c8be56b5fe5f5057357a42ab372d5c249c0a7a3f5cab08b6f4e53f8d0a1cc7a46f0aee86be2db9d29814f69f67fa14a364
+B = -196343ce38250328c3936bcecfd807604210f53a5c72b4af4867beee558604769663c097afd442c5ff7d08d13b1330e00cd82b84e2ce0ce45fdf77d040379800bb95db6c09753f58d41b1003ab4e90d2fe32443cc66af3c62225789164a64519f715f85363ecd5ee6c37dcbd3f048f92ee439f92062b06edc43fb2b09e0825054f0a91cb08a66ce0981c1c41d19b5faffd3b30334a6a300e2d651e11e60e625c906474330e1ed167e33bb1c1b97395279168f52a6805d09e66f1a7c98de52f175dd42f4039134d6
+GCD = 1f69c9385e3538c6e25670d9a0fe0d2237f84f2cc4b131c7b71844cd835206c3f5470bb2b6d47f828e3336dbf94a02927d692c7f7569bd2a69fcaa5e72c0acd9665a02c97429d0ac5cf8036fd931f331718c9ea1c5ae9fa7d2d359ce862bc76e15d45b2a
+
+A = -27c651e570d2c625c7b4bec0841fdd09675d4365ef57796ce2d9b469733aa20c50e14f3cf665e8f80004be44823b2b986977b4aa08d633fc32fc793e3a9d60a19834b5af8aac69a712286661baedb749baa6dba37835897d9dafd1fd307da6c116b89ed6010cbbf8685fe94666c1ef57c0f833b21fee4d6c5182cb157db2ff74ecd2dee6f16727edb2b741fc48681d04c94c0df990771f140cb7f6c0a25d4114086ecbd5965f1259773b05a60fd55e77cbadae4bef733fc06bb6a834242729b1e3ecf151949fe04
+B = 3504084a47db590c812c672586ae99635dacc48c3a42bdbfc706120dbf0273c08f73dbda651c22e7196054c9f2c832f720492b329873024771b35108a9d8b1263c77241d636df47c3590cc8fee14ab3c7d8cf18387ac4ea616f954a3b90e296660515a9403c4fb1cc2c36fe6491366c525d224339d44887771221aeb08ea1c51c913ec3f2982b257aa826404350568969557a12978951f4aafef2566d4a76873b121df9434f2afdea96b233475584b698d74a07e13224c1f7de10f68b0080fb4c6db3ce34298cd6
+GCD = 519fc7daedd5d32f9351fa4764942e1568b78f4469fc2a8d9e43fdc9d213aee766a001d0e83f80122394b487e3831a0550772c21ce3cc69669578ba63f79c75fa4ffa16a8c2dbf04049ab59b645efe17e36c6388957c4438d02409383dc96a841211efe2
+
+A = 1196d041205af939a013b26bbacf6296bf76833afe634d5cf57827710307e98962f8757dbf236ce11a8f1cb94a1a8c5a7a4d6bf7227c4e404941996e63956f160e0a83b5c2a3b26c9b3d10050375977b20d5e61dd752b6a9ce9b733bc744631928a092a5f1d06d370a1bc0fe7beb17e6b742e7ea3925ea2021575930dbc05cf435d5936e18b28dd21d80aa626dba30ef13f48d86a7e10de95e3f9a9e479e3709da31310e25538dc9a8ed344f54f269250a6b95262f7a313a11fada099dba04664a878f5d2f121da2
+B = -b4643d5232b27c3aa1966d5d19a2b38ae378dc2a42d8a281e37319dbc9683763c022b508316e150d7ee3059c196a50d879cf0b4cc763c38fbe6321fb69f60a23e35287286c304ec77be43180a2e68fc4a315a54a12bf6b829e3b4823174863dd0f25f3d1a841101f7da4e3732d4b144431d04d15e5a6c4711f35bf4da4888a7e86078fb91b0cbaf7c63ccf4bdc19f19ea74f9ef30c6a41ad832486af4f42130c4f6d8b9b2bfaa77fca85ad60fe535ddcd7dd720bc0632f3f487f6c1f106099690aec4ba16b435f4
+GCD = 61e4ec9f6e205146fe076bf849faceafbd0de3582d6597283760b11e01a80257807d805dfaa352aff62805f78613def8b79026a457d47400b671a1831a91866ff33da9a5bdccefe7b2fdb3cfd3cd6f90b99dfd7d30e7d80b8836f645333af36754cf7fda
+
+A = -691ae24f1f95467e2bf85c1bb179e304ee83b1d50f8ff7ca0f6f7f42eb248bc59eab3bb6b990179f877372493787ee590efc2f0a5d2bcc81566aa4417e9f082943b9cf7fe32e18bc01968c73af31a2cf0266599fb270316dba50125879a11ee902ca94b8754293bc417dd183c145dfe0a1c57e06f1ae40e83c444fa56b384b84610da99489ff2044057094ae5f6e4755fa4c84dedac84365587f25e80e4aca375e29db21b3839b08865ce503e5d48859d97b253f09933758b574865b4edfb5e7962e9cf04ac9f884
+B = -2b4a2dfbceead3ee496271c6129cb84f99fd8d902d2387ae9d1da853c9f72cfb2a30dfaf85100063432afbe5a68f65fa7eeeb0661cc083eb4c3c7cafd98a980e6de9a59333eeaabf6251a504b2e8618ca570d504f8c9bb7c5d2a5ac1c7e5f76060d06d51d2b933aa4223069fe190f8831b28d7aa5df5ffb9bf707198c49d2210f7feb24266dbe6dbd12bacbd41b6c70602613316bc6ab68dd439035bc1a6876a9098a07db89f79e0d01f1a2e0abbda496ff6dd7bd2c71fa2f4aaa9d625cce015a5f06a1c5ae8eada
+GCD = 1c80e95f7be5d775af933d8fe31adfd9bd67b7236ffa43fa10a51f5b4c7e494459b6678ccce88d29ccd9409d1811a60f5bd92ab23269440c33b76dc2c6c04becaa2afbc59f9300f497d4a32bfba010d847bbfc5d04b22b8c3a332d528b71de3db24cbd686
+
+A = -f9990c8fa318f1f98e187dc6eca4075ce8f50d1403c7cec2a5c0c1cc5f74e26fe5879322aa438258f776a260471edf4c1cc15a111a0513fa47c4ea6304999bb5321b785b47aa68118198c2267dc68ef8a38101dca4a5cc3e9cb8b876a06bce26f96c819aaa68d4266e23db7ca9e75f9f5f670b028edff16fb8316d50a5833068d2a561cb408f00124c9b90e7986fbbcbd1eb5bd45eee3da02cff35e8a78888b20c43f8fc52a0c85bf9b760fc5cd3c9507dee89cb3a1500efec9467a1ddc6eaf61b113f4621958672
+B = -866e0687ed22b6932c988987124b9b1cffce7223c5c9e84fb8da17f084c747d46264d4e6df18b9315d4dd35bbb02bace7568af473535acee5d2f9b47593858f693450927a06b9f8efba1fc1a2a186fe4f7969a6856be1c01b882a34095383b8589c519827cd94a34db5b19495b2b6bf79cdedba9ecd65b5d4ba445236d4046a014ad448626ac855699c5d30bb2780f84805f0ef3c5d18f562947b453c2f61cf561c7237c59631428cf3f7e8a75b6bd16f10edf70164589f6047edf919bc8555b44c48d7d891b78dc
+GCD = 2040d3adbd67dad5b7448cbef6f5a0a9a1cf2c30e2a43cc84dc590a24ddedc9a7fefbf35ab168272e88410c5c27be0a219e8bb8dfedc11e33635a17186eaed486936af01c4e1b986e7853a2a61d9cc3f94d12e93b9a45660f90e70651fa1fef6b43ad9982
+
+A = -2796d5683b25d4ca29f1d39c98d351a88d3f165fefee3163e66fed6ca5ee50373c4be23a000019546aaa510009b960df63bbc64005e56d15eb792c9ea627f66068d07af8611d8ea0359bccff1266cc3ba5654928b063115d67b62e8b5e76a64a08570b5d46ddae63e23ac0226a5fa5406c7c634a5ed7688a6b440f740c1be800a8500587cd0755d2dd92db0333812275823af3ac6e4482a9379919d6ae78315f6e963b902dbb6652ba75621d13b0f703ae70eb6f3a00ccf6eb320730481c80698f0bfe17aa08d46c
+B = -21057e4853134cb801ec73070de0dd9451d24034a8599e7236c06a6ce0d3082704d958a2a31bfcda646880899ff8ba2b6dba2f2a416f58558370eb79f2fa259471a27838139b8551ba740fa2e9194f800cd6a950d05baeec875a5d6abac69f48cd1894545fd4fd10793e67f2cfce85ff3c2def2aadb25bc5e7e6999857229612c8da85d55e3e6b9c33794df967499acd0f6d34c12f4f1146679c5941542d820956987ef2dcf6dc9e1ea00b17fad561d439b274789d5686950ddbbba784c20e4fff57ee8cd48ebd20
+GCD = a6c16d6eeb6241faace0d5644ca80901d85eefa9c97cd7c04bb762b7dccc41ef49f93c273788e52b115084854340a32a56fe271f7949a7639206207c0cd09bc6f0101bbab59a8f4875249caa3669743231ecfb5adb0e89d81b13de77e6ccfdda58ec8aaac
+
+A = -171843003dacde2d35330ebe60f7d34626ee9bd50abb3b57b169ab2c91f9ecc47917f476a7fb528ccec0e30709fb98d3084a8e3587f38c84288ed029e48d4cd0d8a0aa1eda442c86d09ce93214354dee58694061b3a5079217787a46e8df25dcc8850c1a6eac9ca08406d610a067fb8a662a62232a81d7df46b71157e99f307f25fa3dc97bc516e06d120209c87aca87f4d04125075c9e2a73896df2e4f87733d3c30f45f78956ed11c98e4992bc8f4ca8410d0101ce6b0d97e9fcfa94d1f902f90d7618ca9e5fcbb3
+B = 150f378faa79443b9ec77e1a107aa8a7bc55889797353152ddc2949e0af76e9ba3d2903559c369ad27cbb025895371744aa7544bea7c91387385ee72afade8eeed0da5a3bd362b69ff34b3b65d701b7f44ceeb146bf6ecdee8c56e3ac2ac3ba41d7ffd7f62bce95aa1907974144de26b6ae1ab190f27f839473d74c10f0756a63c9ea525a8b0245daae026411a713aa07c90bba1f443aea713eb102c9bfa2474b744a438f749e39e45de62ec83d1ab6429e0037b197552f693a4fbe893dd9c7284a38a542d51604bd9
+GCD = 62a6cc76ab1b4ef8ce94fe7098254ab7efac7a01cfc7957c0accbafdeace1db2f8ad559060a6b69edf0f4f8359eee7f7af1a1ca50f39fd9469a5ca83080e655e00059d1ecb1660edba16c7cd088bf7aa622197233b523dbca4922d26f399cc95233653531
+
+A = 498762cdd4f41970aa352e0c6be4d444815399ab3067a5769bddbefe475bff53e3b71f50ab3f66eba9974751f9e12965256ebfad4c1f49d64af74b99da7235823affba624610a4b66f7e18d556c36309360003b41160c1bbd42f4971bf86ee2a5e04770c47c24fd660d93deca7fe2b51346aaccbd0509379d0e96583686173ec0fedf1678f02023089ef24e095462f6ccb3bdc58147e004c41cf0fb7fa843b9cb06c5790fd770353bb161dc9ac45dda9d869496e9ada13de24ffa47d0a08819d18cbe5162c1df399c1
+B = -4a6cb4688726892554ed2f66e32f6ef803e6ce25a19bc37efa80a291efb3d24287b5c9aab66d6e7ba4c920403df0a4f9a94768302c3f152b0c1759a4395d6e6222852d956278f7568c752240bac4c3f2fa7f20ac95629e3da196f1794dfc148e082f9c448f40a8145f37d1d514bbaa280b81a012fc34550a7fe4d50f118ba5197f11e216617d4ab15d9e789f5c8dcf3f8e6f938c130556c06abab0d41a06cad93267e4845f26dde0226cce36a7cd94ed958897e5183eb4b99a5170a7bf70368f9c67ed083d8d244464
+GCD = f7e7522cb3111f6c19f9a2a523abe270170dac23a11a97b7690d3c8963ed0aa656939fbe29868bb41d73c79a96d8775c53ec399ffeecc09cecbc453f32e1a7c38b9289f917e29a33ee713313581afb8ae2648fa45e06e5913384a190ca4742acaf92586a5
+
+A = -4856fae34e2a2e62d5c5423010aa81e76e7e66ca1557d9567e09f531c2090b54d612dcb48f332a206d2cf0fb6eb1a8f012fb684cd6d7039f608de1fa7c3b271fc0dfc104d271d62e70c054cb5a7c1dfa65fe5ea5ce7bf286f0f106c99cc124c4d0aa243417bf3695579acf8d776ca799f1d11b95f039f4155db09165fceace9695cb9ba342b9526d4007c8cf0dfb5b52a612a57745eae00ed64b2a52a7792f89f87994f53dbe877c0276daf4b2f2fe78ce13d2d07f2639141e6d013462d7c9b39a39f5fa103316186b
+B = -3ecadb4521e63c5a5f495d6e70d3bbf72f4f4c22ea1b4065256e0438bc9d1eecd41d1fe799718449720b051a12b0dcf57d034ad41e1c48e258651c1222769d611224d2750fb153880cdf5e9dbf7770ca3abf79c9081f5bbaa1f39becda307ed58491a3f263f367b20d78004aef27852b3f2fe3876adaf99a66e731981cb6e3b054fdbf230fc3659a8c92302cf21eb6a8970c6e933f40c9ea25d6e41d7825465f6608bde29a026ae09ad1d7c7507cc5132d834e72761c51468771e46d76c8d19cf0df241afa21812062
+GCD = 1004baa61c90bc74ae6997b6a6f38aaf187a03599fb233a49cb992a82fea4f72ee3b6e9ebfb7de41b4c97720a1b6503bf28b30ae613167621b9109da976d7b74d13e3af46610c810da3a959f5b914d504c55310ce21f690965b13811081c43395cc03d3237
+
+A = 5622644a61731e8c9f5380b3ebf67b4283066e66b65cac981f7ff25e1081cd41c9aa50394dc1e5cffa0b8d3c338d453c013df29a9d10d1782cad1f7ef4da553023b36da6a927907af9acd113a14a53f2724d65509e29f18939c641128488fb68d724233b8acc19842b605ef510b539ca5db7722ae0d95c6d702d1361e72ee8abaf6671cdb9a0890b544a72ac1a363bc95b325a074aaae8a9990be3514a00a3f361a34bb83a515a5617c44bfb2deb265caa89790b360f24ee03145883b9f34022d3cfd06ce97b0f804bc
+B = 6194d8a8618f6cddd71ca05d06b9952caea8be3ee209d625ecf024e2662d9bab06c31050eba583695908ca0f794e6a2a6ba4a3f71d30b8ca493bcfa884c3a1f64ab85c110d6f89a2e077f27bb7b8205e6273c185a7cc39a31453870fd3eed72162b276f6b2dbfaf5dafef3eaec04f9975a283e3c146efb40ea2538ebc75f36e11edcf4a2247003294a1c6d0eef7c83131a338dabea53f95043fcacae3d96f51fb2606ff688121885e51bbcf90a35119cf16a587130962d7126653020e4c88482ff4851ef87aa872aba6
+GCD = 37254ddb948c44e1539715650fba971c107a4cfeff0454424b6468ee595f9ababb6a01c5b88795e665c28fa7d30849faada5f9b594614e02747a46197a449443d0a5201854e367ab0bef206c05c74fac918fc1bde784d76655f280e41d243180457175d806
+
+A = fef6c34675f1f45792a0ab3b547fe93cd2fd4d7da43f421eabc41c99a7930705c90c1b3b0fe0f235ac98bf16d2e9afcec86fbcb8293ebe031a5cdb880918439db0bb6954f90737d377e8dc8c97fd23f1ab6f1d46779c7c25b5e8145fd5879902bedbd2f6525607b385c10eb8c7df074d78eb3890207140c518b3c8066914d5bbf8cdc2f7f5aebc2b9c17ebffb85b95a0b5054c08449e09bf1fd7fc704e2fcb83221d3be05e7645b96226c2da3057099bea2a731c9a968c1213d7cb04bdfe35641f671534ac699b850ed
+B = -7013c25dbb99686b79bc9463485c2f47eb7b9ad4e24dd724cbbba1390c43b06fe94661f6a2eeea1ddc20936841208539c87f41487ae977e0893139e0c5fbd44a60848cb2c9189c4290c3182c293487494c7965ddb66b0aac6ee85d158e5531eba04f368f3928f73072fd8200199d94ce619a0c5d56936d8f4969187b11818ea21cd76d75d3d0cd6cf5d5490b2cd622dde3f1028ca5eeb7f2ff444e4add8844b54430dc8c912cf7ccebfbccc5020ad4303abbf725db805835a0ab97b4de1cd9df6d5802ac9c98748977b
+GCD = 73232880d57267ce0587b30ae15b47f7fdbc67f33263500f96bb975c6d75c91e90532c26ca5aa26855e51adee5868216cef0f4b9eccb7a4049d663c81c1328fc47f32d1de240a0e337cf4d18736c1f34e5cc91bf1a3707105a961b82732b62e2a3996b21c3
+
+A = -1ee51059732f32908bd36bcc05b60ad4b4ba9ff91e0332059b0670adb1cfc73579e5bbcf1f4a014e5acadbacd1883188a3444588cddf526cb67661a85868e21215bd3baa56751425c3a3bc485d4a5b281488978d3e153e75c5daa31b088a717e980c8a070e9c43e00fc61a6a7710a8702a1b1627d2f9e2f4775d081c50ce3be8420aedb9bb843a11bb9f1762589cc67ec382fecf95f675321701f112cac48400ab5b6837cf9f68b750178edf492e7dbda5913799ca6be5ebb437deffcbe812ee7c406eb5f1d8298b698e
+B = 2c8f835444d350601b8045901796b01991c0c97701364c53afd26f57ed43eab5eb25d7288cfd25baf2736c9b4d6ec77b553565cc794d001a342eeeb5810668922a0ca04325c7965ea603baa1bde0e32d33d71e6b1ff494fd17a8e0adb1e0f2cd48dcac522281712552286eee79a209bfe6097de097500ef798c679867ba771ab4c379475377c130476099966664530be6ea9bc7b9877519f3478ffbfa8d22d9382198389747897b600fabf0418790699d2b94008c0e00765a69a58cdc24347f8ccc1b50159526e740fb0
+GCD = 104eb83b6ad6e2860d3ea1c7ab438e266c2915d3ee1397b98f508c0ee5cb4cd06627dfe839c667e7f0d10c740d1a081c5e5fc3afb99407063284443f91e8ba34c4c8a0f4d54dcbc8c2bd02a971c965d298cb49e065fd9125ec366bb997f2b76832f8b499036
+
+A = 21507e334c37f22b9d70d37d6255963b03e6b39b9b5d09661d03c2a0184b1eea7a4e8d0bc2fbc9403d9b8830ad85eb1c4e22610aea1364710e67b9257c2d8a5df6db9089294d3e4d5dc6cd6a472a732670157d2b39e6ee32d5e11e38c919db15105af99f903881308c0047e8178ff6ab781176bfad1c8d7ba607a16fd7c2884e6b9bc71ff2a81ad7753e18c5f9011331afc55d1e7ced3cc281ff90da09f085b75d60c649b2bcdcbffc80217ff805ab55c78fcfd0cedba38c89207f8754e833008168f9a84d57812150c0
+B = -13383854bc8a7ce691d2fc05a693f81f63a0ae434d598ba2470978160c317f20b0ae8c960090263f5054bf00e7bbe2002e02bd4224ad2179b980a3b8e5ec9b91e3225001e8f75ea10d2baca94b0f11106a2f688d316a68c955155050829065024e47cd0cbf9c31a713f46001c819b05cb2620c89a5ebdea8c1cf364f203a372600e165e4100e0d7b883fa9e9c678a4129b3fc9edfeea3e18adbdfd4994f24e08558cc4a77f3ad0a08423c9a7879a422682d80d611a575bc0aceaa1448d9b1f3cc533ae8e0b2feada64281
+GCD = 178049839cba8b4302b23b31005fe001ccf8c8243c4e95d883ded2f42952db029ce0594288cc13c86977744155eec92fb8bdab65b2cc8e5b1092a4fbb524baa3143fe484b08cc3a875b6e96fbd42536369dde2fe0e58016566c7244ffb667256c23f196d6c1
+
+A = -5d92f64dfea1704aa7317339765b0b42b4450ff7dabda93598749b8828eb90ccecdbe630c8ec41f4bebc64dfe288dbc6492f764a85eba22bb36da1517d5b3861e9d821474398e25751ae6ff1f767d1a2247f67c4ad286d6f77377f6d40999071a69d35d00acd2cfb78e4b12411007762cadf3c1f076304483a08dd8f7b6b3b87e4e2b69e6b6a35a457e5168b7a5cc5735f30dbe042f90eff9833cb8c0bc84460600c4269f85011f0665d3a3783526e4fc87e23cc045d7218384acce0ea1397aede30721e06bdb384beea
+B = 2d87714d5af41bac703033d870611b6c6a309091181b2cb08f5f97b14144eed5d01737b1251b57df1afbf720c33fb66d2856c1be043cdb5647e966ea3d291492dcf88f723f247759ed609dce93b801e678fca455a7cc466b7911b754dd27f1ae6774f79ea3d0ccd73e79f8bbd4620e5a573a22ff1b28be166ec6ebda893032082cd6766e94762338b17bb134dba81515ffce703a92ad4cc2f7863e52baa10c07d754088394c231b07cd8db8621f4f00012c13053c6abd73601d6713ababa9c633ebb9a4ed928cf1f8a481
+GCD = 38b665989165a956253dc7819a03641551e91d990487993def43ec54408efd9711a25e27e792b251aee4eed7a45619313b95967982658cb827bce80eedb0e4ae5f2b25a146b17fad50f532f76c2923d3bd98de2cd605ee2c1eaa6a5ee3212ca35f692e52951
+
+A = -9815c62e65eec3c3fb7e2dfe3b69ceafa71b155154c4cd9927d52b3c52f49a6b2621a1d8ca9eff2f12257e0512827a1dc28ebc7f3c2bea12a82a1c103c7f873eeadf81c574ab5feec9c383a8e323c9a436ae184ae4aed43de2b8cf01a2c39827be75950eda80bf5d15e7096d9c2cbe520cbc8d6729e8f436ce11ea9488950ae46a998560ba1f4a4293345fdc8431e4d4c74d4ccc14ceb88e4e1773edc85491894f88e8e56931b460e7acecf050cd925316107f7713d2070220a1c3ddc397730940533574bd6f42af744e2
+B = -368feb51dbb5906219be08f069739f5cdbff5b58598f3383015a995320f345c8491bc6830b86913943991a82ab7b65fac430dffd4e51786f7d73cf5e2d9c6574e88c0e9520fd0002a7f7fa5df3e4f5824058dd171c02898d3d3a4f8a5dfb918c643b29d6ca3d04232af573dd75f91dfb21d74e751f2982f139d95b9f371fb844804579397a14d6c23847259d9adc2670a6a72c865dd1264579113a1488e077a758724621d061d159a07a5bd78545b3954ff7129f8bf46aaf35282d2849ad2faa31c9c91c16c9d7f2d4433
+GCD = 5cfb2483ccdc5007309c84b9b549d8a885a96d05f06caf97258f11690f0ea613497b058464297d69b3dae37da878913426fe5149be90338985557631924969e5a095e4025d614d5c170935c2cfd47165844481da76108599ce055ffba4e7737b2da0b68c559
+
+A = 3d168d266eb73d3862baa050ba67aea7ee219268153f2751f932d0744faad7a983752b8c8d645e22582138bb7982f383da8e9f6485dc1633d870228107523c9623c4bfdb910c27573dfe89abadf569395a4c8739785a36ed10f3523b4dfba29fc1dcd164d3c8b5d2fca09fd24b4bc571199d7c23d932f74703e9f3dd3ae39269b113176231977dabdabd804565269c8097abb56cde74db785f40ab9f73f0a69a91c96decf8668e10ea0bbf56bf4824701a49b541612ba8855923c58fd796c2eceef20d78d3c27735238b54
+B = 6c31b3f24263e3d37bbb5d9113f0524333c992417495b2b3e247580ce55267ac4f65ca4297212ba35a385fc96e01a3ece7e1ef7f2187703686dd7bb22d28fe77697ff45cee7215081b31a33f1b1b684527c8b02bdcd388f9da13ed3eea689d36519000c65863488efaf5fb54a66141b3caf93158af0a7fd4be05f2bf9a35c551053abaa011c141550622bcf9fe1d1d4d7306a23db92c3423155498ab97496457eef48a40e45c469c501aff1511a71481c1d5b8ea84fcebf52f95551bcc8639d4c436853b927657608d8724
+GCD = f7977aa28e4dbb83c0a0bfb05ac1282ac6b93d0ce91f7f0c88586dbee6df920b8dd31d13b03574af99a027ddaa91104238d029af809ca9792886b4b6864b52e6f68262f3a272dcaea752ed818b259eeb027b695f39c3be795c4c76bf007866f3443b91dc38c
+
+A = 24225db6ca9307f2bc6eeb1d28068363a7dbe61102ca907e226e5f39668dcff694427894839e24415adf26de738b668a8a87d84f59b4311984ae062a44fff7038a88355f513c9f4e8fa1612b256f15c6ff86a24ed0cc02dcce5fea5769854e6da404eb7d67afd123c85c3e52245288d092d979cbbb62e6bf2b21c0c2162cb409fb0240eda74adbc7eb75f5e0704425bd4d04aca84dd4fd4938e2d003b9ae4a1a929addbc287845dcb65a8360606d4f4e1c48adee3a50a82312004a2de471ad6f3463e4af38e2e0727d680
+B = 122fe4639eecec24f0c45b2a3c71300a865480827ac5c73af917ceaf168d353b5795fe53c66449aa568f11dc25877fa04e3dd5e25a1cf0e2944f23bc5cbc3ad73c0e43e54cf0b8eb90efe7930c49385ebb49acd395b936d8b04be2677cc9178ba2c515fa60007085f87607fc7b26a75f787db0cd909114df28638c03659ae3034fb73edfb4100a0b838319bfdd23b2ae6552f591f99ee483b9e21fad115331d1e774e39d65877c56efd4c508e161b351ef2cd21f18e40de614112c9f5c2ca5a421e17154656761fa48efd60
+GCD = 247eed9441e3a8f7bb074ca1ad236d71da994d4b7b3d1d442620236bd36586e150bf674ba23e92e4b5de395c7c6338bf53b229d1ea08000e66b23bbbd4b92fb7a1c6c32ff2a4ccd727774154c734aea22c8286f1e39a7677fce72de7c76a76d07b8640187860
+
+A = -280761750ae4eb940c9fdaa468842b33603926121746aa94b4d6ca2ad47fdf4b8ad7b2e3d785d93370a829c03ee80203f542486367a97da7fc950c2b503aae2165d4a9583a93465dee0c59ea756bf744f7c424c6153fbcfdc1ba24627be33bda724e839d27261ec084886eb04da759b91f51880762b5cef0e757654903cb4977d25a4a1017cc95e58b1c04cce6a138ca5dd1d168681127d5c6963825bc9f41d16fa2c845802ae0a62b4431fe2efc947c6898501830f261f86edc3ea16a50975a8acaa39ed1ac79e508217d5
+B = -2483dfe0264fdcdd7d3b6d11bd932b4f38c6ace3eab93a3831406dcbbb17ada477e4878666e114991d1cd9282e20fdc01d6e598a48828633bd78c6c68febcf3b6be8b67148120d36f9f754e76f3d7aa2c8115a82d36f5d5a4711ef017b3a74a3ea4f154755c8e8cb017173fcda8dedec77bddc2b0f8811684fb84085739fc15826de6db5990af0f5a9b90431dce6a558d4ce394fc421764f733a65fc98686c3c0a91f9e2f276e4801bdd7d1b5833788460e65f99571bd9760c6552c0014e061365d8f719f26bc8630059e4f
+GCD = 3f2bb69be2308f8d9bd86f0d4b4572f8a450dba5225797a4d9c4513cc40468f5cf8d4ccdc55ea555d8872f00bddb747b4e3c836e61e4759b21bb7efdcef94e9f4305d6920f9f2f9c7bcf52a8c9fc021e9fb2b9f2006d9303b21b1e47d1cf33963820cede3d73
+
+A = -107d197aeb03486890a3ff40862230f72ad68c09b60c449fe70aa75656d76b05815badc5c5971ad6b68ae7056493a582a93621cd7b77dbd665c92e41543c239656347391d7a17582aedfcff72244f712e0dc9fadad12fc9f38b0acb7d2b3265fa28f28e86dbd10c5d606c88bc9b63491ea7f40049e8313e2cff6efcd28310983527d3f2ad12e45eda7e6b1d9a36aea3718377f11aca645f64aa1626d8ef7a267e2b6e2571ef42adbcf09791f2e103c054d7b1a60da51d44570b686453e42b15f7894c0cda07a81763b8549ee
+B = -4d980614ae5117edb7937aabb4f912b1564fe81a1da721d523c52cc44bfbf337c06eded8a4ba67c025af629c70d24a5b85cf1e7ba2dbeeac9268154f4a716466631b85c74d5d26f67913e4e2017dc57b9cd28cb78e866c363e91bb2ff16a4737b74d4768d80427df7aa9fc29a7da5250da340292db5bd4e3184051f0e812672772b8f1071147ef4b5e961d56db7e65aceb5ccd765ef1dfd61ea8572855bae2eee141cb719d9c72fe2631092d7d31cf2a54abe2a2ab4d8c3b5ff99a8bc026f4639b3eed49fa244d704bb4bbf
+GCD = 5364a6650e9d93ab6a05cf7394a077c9e07afb9eb842abd095a785b6533b2c5fb529eab4174c3a051e6b955b5fbd9a99c3be3b3c44e714b553c2039fc0ee378e86d5c057a73204549e901306e82a738230c303e8962f192169a4c82f5279a8593064c071a7f1
+
+A = -290fe19fbdc8e36c3e87af5b2510633c695da8dd1e8baa39ebb549fdaeed5ec44f615d4ea4b66458a2c6784faecf4a9e2d6ee2d5b702916dc7a9d7c8694f65b47b26410fbafb99af2db93e83d6f80ea7f79f88df5e24282acbf0f9a8c76a8888258bd168bfaad700d559e0073ba75502efb4cdc6c8272087f17998a0c4c2bae5f7fc33ec8d6f3e6b183ff05fd72d290c9c9de5cb2343dea97fcededd93f0e2af225346cd311ee6787113b0f8d29a8b6b0a209be1c5a3dd5e29129868c73116fed8f5d98a0c002e0d5bec0658
+B = 22ff217909c505c7cd4da00019bc1985c7941008ce16a336c911a42ad7761f11a4fe76854cc66f2bdd8026116ca425397ad753d4be0002bc9e79740118e7878bc89e69b22e7dc009625797388dafd377c974171b03acea053a4cd00477733f1e9bab4516a56bce614f6a97b0f116ba0e3be486bc0f732326b3377174651488a1225fec76c601aaaf82967320ec508f3be4f94369a73d7b66aeebab080d92eabae8f2b8db20823365ebf006c4db4bc64e1f1faf0aec8057d224fb30c846fd784c72b91500a31b1e789ef04a80
+GCD = 147486edf3c1eb2c9ca713d33f07e374234d76555da57ca46aa97eae817e1283c33b3bde1e35f797b744ae53de1406a8421188a5e29fbb896f3649a206ad35e1ece45ccf851873b2478537dfbc130feed4f3dae6a07e9b07ed5487e0b45055c651f8787c42008
+
+A = -314f4a18611858ffc662b5c1260dfd6f3c810be13cc66cb455609c0594c63e49ece1e7244f1f56047a55bf54bc247515abf3d5003f063a3e214b4569c61dd8b0ddfd837867c6cc550f7a332a8d274463c5f2f97b5b15d0c387acc4a7937d923c7fb93da638dbc87734a8165faafd8430a16bcf6153fd8e984eea856e406970cef241e47ca97e3cc9df9e0ec09bba1a26ba25d522c792dbf528335f2592cbf509fb72b93d3e850efe4d04450c5a81ac7fc953439893a38246fde3da68cc81db889ac92b13e6e34ab3eefac315
+B = d8315decd7a239fe74a6162a4ba75cc8a64d9cd18f5bc91b9026e6e09cd37e196e584ef66c30ece3848d6ea0d293973bdf8d6a5e707e35509f0e5087235ef5ba5788a1ba5e4dabcbc974f5474bad5e92f0c8eb42cb220d2c1d222217338c05457dc0bb0d6d8a7b0e1025188120503a5976eda63ea1ac9012699539524ac16cc972a054a2adbbfeca181a80d779bc07284992a5a37f9efd710571e93de1ca41b70e3dbb08b3f59c4f24cff30e1de19b0881f37fca2140f015830de3f7b13931138711350aa719e9ef1d1df878
+GCD = 17b917648215b2852ce2eccad271d9b2bb321f0b65d5b23641f4247a29c13d9672d79f02d180d527d171b5b652421811b110cd7b9e9df182b2730560833692a0c8216e2225478f5a1043fe864a5ee9f96e150161ffeb4e9bbe71eb3112cf4fc6686b0e42abcb5
+
+A = 3bb81e51b01c1a9632d6401f6425c2eb52d5b93d4ef41e66582daa74f273097f9c4809a0f7e94830ebbf0ad875ca8738af314e83a45e0a17e14255775d70a69141f1ee8c9cb20e6897e43243f38ffa1f2c71b67f752ccf49ab4c71a4183c5ce3ad7ddbc920f5a34656535912b3fa99bd9e7937713f32c99936c0486e19e846ee5796701407b20b08373307ffeb21e8280f692d48ea16e65e4942e08e19666b3df2f73fb45063d56a4e010a84f93db8c55dd1a5c16afc1c104f4baa3cfebad0965bb61fa62f02a3ebd7d5389c9
+B = -ad0c46736ef9c8968f68b7d9948e890c86624298a2e2c5cdca75e3d32ba5c14ec1e12cfe978fa615c6ac711942d36b30b071559225143839e1db4afc69e48dfa6607faf93efc069ad1be6625bf8749fb9176f46d16b85bfa6d1c5b8c84b966301c2fe680037e66deab01dd1fd0f02511d010e8918324d114f92c237f95b4efd9e80e82f15e677e74f8097e27dec8505bf2e9e5f045b747bb2ab15c629a5f9394a752c38fbca21ac54b122b0a9fa4d08537ed9cb9608f0729aaec847e325558769ef2362c19607fd43098dfc0
+GCD = 102af2d00763d432076b62ecb517a8bdac8373860cb21685a176828de7f9e39c1a66e612c046d77b6295d033eb9287e8a960baa3cabc6ee3575e13dc353b58836e60d8dad2be05d4dc60b0b4d5ebd31c032d25f9ad5d68cf8fb5988a78df9fda0b928679f82a36b
+
+A = 150282bdb80ca5d2b2e1d8fa248b5fb2a5d5be916d947beffd8c66f7b227a3a6a221e297fc3c4c7b0107796a9b5d9fc1d4038ebaefe7d52b7d2e13165c82451d033626b4e8e2c36b06f8cd8b8c396988eacb64ff0c5c684f460889e3dcb9cbd04229128b4cddea969be206ddd605ee2459ed89cf0fdd453f049eadd45ff4f040910f7fa6fc1c3aab6084563f9c57bc6f280b0f6439ae5767ae250052827b22cb615ca8c311e5c5e5c81fd119b93bed766254107c454a8ab7871d64e70de736f4804aa94dc32dd047c5c528ffe6
+B = 4833f9f80cea39cea88a47993e1bbe18d374b92c6abffa4d742ed9ed4321b1bee84e0f56bd03a362ef4f1262c870ec64f5af5cf6800d885f2eedec60f93596970e853b4d4c75ffdddc5cd257a4b2f35e397afab111028d705628fe7c75c6a9ae13d6af6175354e05df9e21c4fc7f0e86548dfc0c98424b0c232afa79ecac29357877fe87a55db88bdf8694334f7503baa5d836323f2c0ba3d745b32056b76530108ecff81bdbe32369cb0dfd325f4f68357eea539749cbaebe12a83855cd6bbf7fcad36d44bf93ff14d76e69e
+GCD = 5b3381d11052f443eacc0f25b531239167105c6f1a3681e2e723de7eb469192b05198f4f1c299e3973f91062365f8e88f6f7892ecbf02a2b63be4f7d33c886c60e36391a650e3aa438ac1edd28776acd037ef58917b897a3abc26a295a7cab8b996caf53414fa
+
+A = -1f959229bf50b205f4d594b99721fb6aa2c7fe8cd067d50018efa36ee7cfa86e96606498a4d195db23a8f3582d7de69283ef10abf6abec3844b3ddb7e5f84097bdbcb159882e250ceb044f76ffc9944411e97fa932bcc4a2b4cf89c24d7c08369d044db92e03d29932d546b5a4de321bbe6c5c43e5490747f65707f267cb603ae7c6ec24b53814df22ef17f0a71be2e9854a76f38c97524491ca666e23687c042333d2ffddf097000d41b8b3bdc78d409ad702f2e8dbb50320eb25d2c60630a9800aeb9b2883fc8088230ca874
+B = 10791dc3e6cfc6bc6344048c57f1b84af5f213c025fa7fadbf9aadde871773ec4ab4cd4fe5ffdc16fd57583d90810fde01c5c7132cc7aecbeab86d7c5216d6a8f6805f34e5726ab4b510e2b6605623d5dce877ec4a3fe0f267a41b467c1ce0f807b5e51ea1e96eb94c2f03136ce1046e0fb7d070338714fd3af32acd65016b0095c44c8fd3cbcf3b3ac4799ca83caadc599ecac8c7c36ae8b728a8128337b037f84ebe84169aa9510571e3cbe73934e37761bec51588eb5d9fd7d41718847959c78e6912fcfaa996edbb315ab8
+GCD = 854341ad6c6b2035fc174490be2ad3964472ed109e7de141ff72f35b7c80e4d6721752af249e045fffdca7ae34cfe8a9fc3943139fdcc4c43bb909fd2ffc72bb296a3b166178b75e46455d1c81c38cb3dde91478bada7cda5aef5989dff6b43e8e9918b98a6c4
+
+A = -12b4ba0f3598084bf17a73ab706f37f60e13b931d2773c135f7d4dc6d52f34cf5fded897a04d1de7e3ac701aa2b8117de85baa0a4be9b7efc231d0e00dad0346e1952db3aad175376d98691ace884b814195c7cf7949e6cbfb019bfa1bfa36f208625178c52c3c6a555bb17f4cd911418a0caacb3e93628a4997dee8dc59d4189a81b1f6241926c374717c1761380ea7b6c4e1624c53861d8606efe06a01846ad715c087b1c3fe76c9dbe81a32a6e7bfe43fcec739936359c1a995f56e458621c3bb0f73fc824f584919dc5bec8
+B = 1414e5a0c3719e09787f64a46147c107776b5d0368642a204f6650509821ec9fa088ae59df37154f0e36badd21171e0b6f33bf35de1377e5fb5de339ae59d96bb66f595725533fc2b4301fe9bd161625e25ba41b350413f50b6f322abbc4d4a0e6f12ba4b1aac8f2a5c7e893ead4b3faafcd88f50855ab92a48a62159112d503d18ef073a8d211a0153e2fedb974ab02c6563be2d3658d30d533c38daeacb85efcb5a13d329c7c06b3d644df88983a76948e281cf6e1ced33dc0650308da716f4fbc384a2b355917e8afc1989e8
+GCD = 325dcb67516509efbae96fd4232035718e8dba318e7b9d73d3ae01065e12c68399501585dbc55359e2c7ba49e2bb013e46639fbea79e90c9d88da020f07506e50799964acb941744679f41a74b82a86490a2f98fbaafdb89e36dca3b4c9f8b478e4f3bf72acc58
+
+A = -4fd1e47fd914ecdad6b131d48395505ca4341b1e24070105cffe0efce7ec2848c602951ce7e7bcd5bd58c672371e571730f67203aeafabf883f840067c53a58089de95721b806c29bae1a14b281971e4d2b091f4c8117a052ec6a68b76073dc0303fdaa3ca6f5858132531dd15c5aeaa778572dd02d4532e023cfb39ffebafd1e2a7e8264e743d31fb0a070c77d08e33bb121713debd178f40d8af76697ec15b5cf7f140ea559f49acb9c8bdf97c9028d6e55e7024aad9be5ad2a23673669cc7697df24a77adc749bf71bfc6cae
+B = -2a8fac5f3183df8c2ab3b98c12273f110c30d349cafa7e1cdd17fedf727042a5dbe7e0bcac8c14b6974decd1ad2dc7b5bff4ace997f9038bc3e97d411b5e3381a904667af9be7225e0239fdc281b62c43cc401af9b7eb010f396ce98e401b36111d0a94320bee8daa7c97bcd272ac21090bc8de17b53fc2ea4fe9cfb304b46f682a05633f9ee5f12f093fcb8ca8d284bca7cef7342ca21467405236c3f69b2a0d05d9ecfcd4fcc8e076d8ed3a1c039489007e567f0d1806534ebe0d699ce68355c2b70ccfa55d9d2567210c5978
+GCD = b9359f0391ea5e2c8a0d71c00caaecf6c9330e7753abdcfb42e5608a5593f903722dd222e57dee4449a4d32c1b0445ccfb157f20848b952cf0cffba9b0c12dfeef23c08faf77833d30e8ce17f98c2ba91bb3261e3c3447e3ecf58d6b7c4f83fcc864f01c326d4e
+
+A = 178ed2106ec30b65b08b0b24dd79b31a8d07510dd56f7455644def261c2036b0321da9e40e235bf0f8241e26823878d90e0285e0f9f2b404b9aea0459edfeac09171c27fec58026432188a475754c1e9659d04d0f3a34a61fd2f0e2c630761871a2ede715f3bb7504d106c198551fbfd51991cd07d91c8dcc6f68c6fae42d161128dc222be9809822dc16d95c08dd27b8c0ca72f9263d45033789a8c4d33ade74aaeb5584e62edcb9c5ac8b3abff4fedf6c253a849e1f8679548bca0f883e4c76fd0b13c7f98803c2ce8e37ab88
+B = -54c516ad07a7e038496372cb032b4f77f46f996f9508917fa065326a96bcafab421b0b2fa93abb0215a2307c8e01752cb3dbc182586723ee82ccb49dba895abfc2a0b4600ca0e43318b4562ca0b0a24bf5cd820c82ebf0982e0b6d376353cfd2a1044bc83c7a8b5e8bfb7ba4978f6906bd8861531e183d6fb411bfd6e6e2f2a9dfec2b0020b7959f10ff6c3e9834da1e35a58209e51386cf14d304d17a87d9b42f4c330d6c20acfb4ef91e5244d5d7c82b00af534640ebbe75e9449fe9061e8f3ea3732670f060d27b43ba24f30
+GCD = 46fdfbfd0917ee37b42c03b07321de682868704d67178832030418ef8d795fad359216c6c38b13f095f6115ca1a8d42b4f1e551340776474f59a4bebd1719d2cf8873f763020f375eea773f12242d6d580e6f69b585d6618947209d2615d9af9deb136b9444388
+
+A = 46504e907a83503276354d465a9e7835dd1d39447d6f5c53e4128747e420db87a4d6f6eac237248b9d858ed203918ab79aa82e622c3608d8b755f6da6b5fa5ffbbbfa76c1c5d749c47de43a6bbb9a944338cca0fe28be90d89ad12979b8d598543b1447dce8697f4799a0d4ddae70c9d1195177c8a5193ffd1de052e15a2c34f9f550f46d0247b6dab40e8b6bb68433852f9185ba5e9e06375d7b565772909efe3a3ee351d89d0c2cf7d28623bc82c4ac7e77ef98ec55ca82763ca1640d8c2372e63e6c02b16745027b6ce56f7fa
+B = 4eae9d4e2c70f0899f3c6c8cc74f2915f12fd900fa606988822bf254bc9c5095985a951d98b3c069bbda6fdd08a85e0f5004133e48ab4e757a33321e95ed97957faead6de30a0087548f78b9f44c64db94fd2a043faa1e8d57cd226c17c6553d5123b8acfa6a0dc549d5969b815b9f129fac9f06266fef65ad3a73685b194e85e381838c4643fb1ec6cfef7fc49daa369fcca7346ceaf53f9f9a121be0a240cb3841a67c214090461a111c7c4602afcb3078dac4c59e122ba522b223835d640c63d714dee36272ceb69bc48ac3c6
+GCD = 18a87a65011fad33f9f783dbdb0b13316ef778a985873096497d84b18201943c235e1d2681ea924414e8592b52206bbd454da5127b06ddc13794932f065f1dd6efbda2941121df2d497a9d13006d2d4c2039e935251ad44b98840b5878deb27ae310fd26d17023e
+
+A = -134853eb8de7792e6bb4b5197e9c55cb595851423998e33d3d53ab1fcc7eed63a60aff06099be5d8a3091c013dcd34606967f5eb638d947525eb93681422a402d33f8e12c9a1c148607f6615b90b089d850347f12289422ef5dca8120e5efe8caa1bb4b27ab132e97314f9c696e5449aae03060b2493374b1d7a97294edf087cc85a85a6482f6d5f26f045f7604698d7bedaef428cdae3aefe035d5ca97288febc854886c9b6b53ba0b0cba46394dd03ddf9199ce751fb45254e031c24928283491994ec6e263c9b136a64e096b0c
+B = 16cb2aa16d372302d569a8662dda475890ef2e0710dff07152b42f3c6460e300af14d11adda2e8b6889a5c894584efb82d8425bbc0b8c8e3eb68e70a3903269b774a4ec947d3bad6bfb310b3fadb2ba2cf823df0a6bf8a45c80815bdb83257e18aadae98a27b8c4215ae3f24133556ee95b63c2c9d5c71e33169e5325a899a5b13be11746ef6b8604415ac9e161d5348f4c173898f0bb38a50b7d686f7df72b2c28635cc89ad029c08987261267b77c1c0da8cf4daec91282cb279d701811e41258db5dbbadfa5ef88ab35c2442bc
+GCD = 16b85e0dfc4a7c1463c372bd09f43e6b3a191f0c6a074c6ba728a538c54327bd9c843c73dcac526872790a2d348820fd215d50e39e544bf7165b3aadc0477afe2caa9effbfb4c87be692b9df3cbd510c31de7118ae99a17af997f3408e7706a6d111275b6604cfbc4
+
+A = 479dbdd255485fe7ed2cadd32a19a9e4e54ce3a48c17f2fb10438c89e53e6378740e5cc8c4866c448c1195793a0836929b473bc64929d2ec8de176e7bbd83f4ce0a4a348c0da4e0a646f6382c5ec309bf6c2252ed2d9e1a61455f9ead89734284e576b48d3e5e8c3cdc339d9032b3b78e53d67d8927aeec68b9fb5660a2f147a0bd8c22327b371b9d4f82e815fe3661ddf7da5361dd7706e2eb8ec2e6612f5bcf255e9303a72b685a2123472c79825458a98ea8e401c15e155f7f4fa97ce5fe2687db0d56ea4f17e589ca011c7962
+B = 47a2276424a8fcdd6551cb70b2e883f52a2fa62839e740448522f8a37897a2a76ab614b6990e07315f357a48b0cbf1d108ece5a33a2e430587c240543410302998b239215dddac39a496796bdd47b569802fbd4341aba23c36824e5e0eae8754cde9807a842d7ec891618fa03f6a4ee1f98890560d5c4762ca13d5eb87f5ba55ac885bd4721ee3311fdaeae2d36d2ed5aa552816dc9ef7cb8d61c15bafa7e16d692ff6dbe1d37e40bdc01fd2d99f8a5fe52ccd91836244dc55e277684eb6c9c5223fc68aa62e7f6e9474f333320e6
+GCD = 31c74f1ae4cc28ae9c88e51cb1b6e8a725939a1c4cca9d535cb252a8d17cd6931bf6eddde2f306c08f5d64e6361d50d5cadb714c2dc9f82a48c9406b83b3885c2e9d04d50196feac58c221f5e2e0507d5832cfa372bb881a5dfc737562f4b69ec53fc280c1f42aa
+
+A = 12ace83c8d7e178658de51120c6ff7042cd3b7ab97a238d88885f281e115995fcbfc748cc9d11793ebe291f6c6b4b39b26b34a4457dd72027d5ac0b77e580aa0c109c72a0e13a39be6b495ba2fcc61f90328b9f7ca1b75b720d0f6c44e4b1215658f1a6e8c34d3e3adb064c3633d9a9b28186616f2ee61fae4047bbaa9d1bb9549a2414fb52a7b1b8d76b102e7d0665802574f1f6f4afc806c4afe3ccd56274a1f6ffee163d641d9151f3002fdeeb2f0b4e67026d0e058287c3b5e79003795b1ce99af11470831daa9ed8f511dfda9
+B = 967e6b02ee6e1004fe4b2bd9be5de4cf23fb566baffec0bfa5fc2dc4def2800e1478b8212fcec1762f30855ee92199b70697d51c3683e204cc1bfb69ae5fc3ddbdb956f70fffc34e6bebbea236a9b19551b8b8b5e4f993e03d8461085f6b424b3d8bddcd333ea8cd14839aa22edf4598a777ed757d097a6056366bc2e66f6ad7101778ddd31c3358d2b02a43ab15a33306d0359417ec91f043396d93f9788b89778bdb9ed45e8ef28b30a3dc6ac558bebec45bbddd71867e2f505a7676bbd282c9de92add37a50dfad8ef08f1eba6
+GCD = 51c98373ecf6553f1b2747dda4475bdcdf43c01d5bb0cb466e3ea6dd217fb19b252fd6fd17638ba7f0ed4a30bcef060dd464202f264d85acf645825ebc6b16cdaab39dec692fb3b91afd7d5a51f399af800ac96dd087175d5d8c342f4dbfaf45c14150637f42003
+
+A = -e269fd4af89e7752c83d68de444cfa373a5fc3156743d790318d28df826201fb3cbb201da72cf9c3714517b9331e4c38e43c94b49c01eefc1ad8e3215f419f75070ee5b0765a02a500ed4cc52c9e56fac05b88dc80ac3311745bcb6b695df8c13d0289f323131533b88823b45faddf9edd240c5aaf0cb19c962daa78a913875eb2208df9fcca7845ebdf1402f217bbc98495124ab003e9b54f0f7fc7f4e8da5d3db42eb7d511a761b41c7ea3603a6df0dbfdfaf1a65d092f0ba56fd9187a9b2d2014b1c845aeccb18d00948f4d239
+B = -36b650f7cee24b0dffb8d60bf3ecd31f01840e84bd20c558c7a2ba2d86b0ed345580f93292ff42365405ea5210e3bcfc51963d7f3d1eefa69e43b1c9836ec984472ec4dc4bb06a8b09de1c3169cbb9683b14d5c483d15df972d992f48d439fc44661597305ce8c88521a3d59e80722745f9e61d6466815ae85ba52335bf5688d8ea23a4c607fbc4414dcc8d9321e4683e258e8f9ccab49a078e0abfed4e6d3bad07680e7438849fbbb9561bb8e9a165b9128791b8dbedab4415c7cb3bd91fa72798aeff5393011db3e0935f073e6db
+GCD = b9d76ba3efd3bc15756258c19b0c8e2bff206cfaae8e3bfe9484a73564574e3761ab5d67eedc94e4de12f4ad42e9d908b45e9b79fb87c4060034e48ff5377da0844945a5770b71d1dd18fa521cf0425efb27cf4bcbcc239c228dcbf8f54631ee3ed3db694a5c063
+
+A = -bba04498cd3204cca36bfa305dcd5bb7c9ee54c8848098d6b04c51ddb45476cfa1f41030132c5614af03c0ffa513c8c7f4a5380870509c573c61aed5588a6789656767212a85c3f65db25f06c32529e598eee6b20d7291eb597bfbe489f238e9f7e0daaa556400bcefd39e6bdf421a79dccc2f4da088c1634eb8871b9a906e77f1ccc7f4b75b3b2f869e254dfa46884d452379d2103ebdb9ade615d2cb2103e9dfa509572b2fc925d3d1399f125848a94d8895d0a005c749f11f50e63786f7474a1c8258f7261c446cd634f346b310
+B = -a0e1ac596cd6ad5d6c76391d71d7cf973b9af40e70af97ed6d4cedb0596704aab60944bec9ca7c78b9626a78a8afc7905544a6045771b049c9523366afbf50a7bb183f2fe927404ffe5cfd7ab9eea89bedb7f1d2948521ad413db972722a590f7df032bc2ca289db99835f4c2862792330af3f3f699d52d32fc5a97574706067de637895f65584b8580860cb04548202fa0a4ed1a78c2c06411e6be4a5addf2a8652d151af7a335fffa7032b4d5540b11e7f60b7f34af984a29621f63e54d32d66a875b35f7da75781d5cb090c75f0
+GCD = 5aa6a389e8e154eb0ca4120058da179f7199d3aa28d111f379bc834987859cc8d2a021635af3a21ca7e5dfeaad33fb48ef19820b49dc91c556dc4d3440ec504e159fa83ec455c8a4e44bcefc63bc47c814f5eb44128bb74fe761a7e8f046b6d977b83883adf12ab0
+
+A = -2a8d88ea2b666c5f833f986ed6725fd3f0d3793e18b743c7d0891942e519f101d653a9ae11e8600d785b3f46f4826c9d858f0703156d618fb1d7d2c37dcea8962d66df3bc5c00d2a4c200478204b6c793a33d37169cc5f95f46b5b2912be10b32ac5656a7fcf982dee420a9fdc799ab05c03c756b28ad97d4e1fa94952f0aa92c883927b7c7fcd9210bf07bc903e4e231caa13acdda3efb1fcae0cee44d6cfee93530ab6d7f62c2f33fbe21e8ecb676099a844c677744dfc59ee6ed0d4152f360285d1057a67e530a0d31a26f4d79d8
+B = -4552356256168426b862edc277cae7444bc934a733a61839e942592f937a3d6ffd2de989d537512aa30bdf6c137f688c20f24cf747312ad507ee9b1a15d71314fa8adc422f05d7450abc038a59783aa96a4ac1a67f38e8c91b174c3f0d1ad252349c783f99028631dc6927760acd57af214e40ee21d7a47535a0c3f456ac0b97ceb5e165eded205aebb4ca697f5939538c4c257bb8a8519303393714e08f56fbdf2419e4a47974bd2f194f21ac86c553c19a35c4b5e77d6ea649329fdec391a452cc2f91398cc059f83bfd3a14ba3a
+GCD = 56080f82bbfd98cb52f632c18f6e276b1042d1149acf02773b233ae4c9d8138965af412fa0434e34f3f67e4298a214b744e74a1a92debfe01db90d457f83139cb9ce0dbca1385a7cd4cb67d42fe5148347e8d6aca0d7af52db2f9f60e6aabbdea6a8586aee0f7c96
+
+A = 570d697470ad67a1bb68812535ec07e9cc38fd4556c4b332c2a8dc9ed8a97bb81d55164ce7743ee77879b05d7c2778a994bcef891c6d018b3417a4acbac92a59bd3e41db10587b7845c3816d037adfab0dccd8c062559d339e5fbcef7fa8c8904f1f67a2fd7830a981890ff5cfadd5d733289a9b8207265753091970b6f6a8ef7d0b639b7bf1da279cf97128690998c41ac2811f898b7cc45ecbd0c6b0e3a976286c99fcc6ddbe1bbe01bc65e22ecdfcd24c4b81bd2f0bf825c6b127edbea6894df1d70bcc6cd666875d73543a8d3e
+B = -c8cadd60812092823981ba3735c26768b89cb5ecf3b0ceeaec33f810ae4f15bb08ba8250928df5a16e0f92e4f4f2a0d249fdfc2a27b93a6999490ca39220436ee6de8d6ed1af4092978d1ec46e58cbddcd4fb060c032e1a5130c1193eb741f64e4540573ac42b58891573a19b73cc1f751074d36c12591f7d6e1883ddcbc393e6dd2ca1a7019dc40082f3e9de983f068a37fcfc019a61ccdcc99f2fbb22bb6b82933d4ef8d0010e7dcaeef4c9c272e167c55e88ba6ec606f4048467027d55bfe939ac13480713a19e9e92dfb3aacd48
+GCD = 4f9db0766e42779807c5716e578f1e07a4336a86ad6783e251e61e577ae74f384f7e0ef443f8b409217a83567ea8bde6e847fab9d61304c623ffe34bdcf10ee8eca726f843f6d8cb909f260f0276b70488e8cec11a8916b3d5608c0e9b10caa9823c1abc999de346
+
+A = -3260866889bfed187cb832a388875f4ebc7d63106cc361740350b8d2c1af6444dc20ae73d300081de30442d224aed5b7ed482c8b038bc16fdf162f6c7b2f38ba821ddaf0590e41892ea835737188f27d3ad0eaf795b3fe72f60ddfd612182045de8587b4229b4deaa26d1929fc4ac9703f10b0ea2820e88a199837e2d3e7fa394884187d64c4df7ce026dd4ff6465e1b41fdc6d43509f80613ccc37788dc95bee6b8f1424dec74f3ad8ccf446df3a11b86b89d8a0fdf6580758e9ee1d1b7cfb1da8862db3293b842b8494efac39f2a6a
+B = 6c269d46bf0771c46be864fab851745c8d96a96bdc12068317414c551291539a73f551807b5916d7804e19032fdeda271abb369d04814a5e146a6e9b0d57963e45caa932f5b325574bf4fa1c736628f0759a68b63a9a05966da3c11ffa8eea2e26f7857ceca899eaa2339eb2d57b2a4a723aa74f4faff4db3ceb6a3f5c5f56402f7797968b4e1cf68e87eaf0856b62a2d1a4eb029fc28c173f33748952dd4b13374316d7e78b868fae8f3bd3f508fc82d472cea9588e5bf77d5bb200a4babb47e6a295acab69dc0675d2ce714f850320
+GCD = f4d75ba3587c8f87184a69802c6053d9ec75ea8640629d8aff9c13dd0f42fb65b6b4a46d907c0bc3a15be238915278273593a2b3659e7ff72e7763f31685ce0b5cef5cb25a498c4f4411085cd9dc4f51a3f881d962a15d900c301dd29fdaca123e7a759664ad54f2
+
+A = 19e4eda7d88db106828b6ee793b51690108b9d53594840b58f60a1ffcb597712c4d0e092518b131e41c39c1a6d04224e2fa9afeea3e70328b774ed7f1fcaf5f3ae421f752be3419ce6b0602b9b7a3a85675ad446fc61461a57c4deec7287041b4c11299135ef60a672dc6ef4d1024ae40187743e952f0744ac911d84c77d045633c69248dc820a751cf83e2565aeb9f99a34df85dba3a53ce3a1276b3819e4864123bde29d2396aedee370ff9ce7f56d7682d5d6e6d5136ca0b65c44dd11162542999c1a46fa11dbd88cf9e8b9ee3976e
+B = -123274288f790ae6bed2a05703aaaece2bac76cc86f671c6e496e7d21a6358f344b7b3f97e80259ef9aa246f002fb77895e63db6250146636fb9d7c2962e88446a4d4ccb44a10c112f1974f074c42373d0ea96906b1d0860fefd91f034d88fb01a68b4d1951b1d18522bc03969cb9923d454d4664be9aafd595b1685465ea1608f1ace6fac6481317c1eaa4856e8c5b65555284d0896b7577b4a3a524041de60a4ee826d93ec571877cdf5a8a5538e67720bf4fd77f69f07306653784ea5a9a785eddcd1a0da746409d0717f1361b9a78
+GCD = 3cfa3e2ae7977bfedefd1b3dbf2c920a7725a80068e2b6ccb00b543e89591b551e9e42ec400a93c57af0f19e4d1de1e9ea02cd927ebef6abac12ae1f7b3d8aace5334639afb06cea6899e6208fdcf2ac76c3d1656a76497b0dc3b94c47d92a7dee78df7d55c4192ba
+
+A = -42c7490e79549680fc543f3c9e56ce3c36efe3200446a55a3f8e010988d1c611fb82b90f5ccaeeb854ade1f065117145d4a160994fe0dfafecf809cfc7ede461d7fffe6f840c0d266e9a59bce2a5707a23a0c260213e629b35345a756cc32fc710861e273429ea2cc735722685f6e7f7040feb8f11737eb8d6577f98551eb95c7c420d4d70b066f0d0c2afb44ec7901eb7b34afb10c966628096c9cbafede2096e2d664b78653ff4c6f57c18f36eb24d94a57898ccd9acc815a5f89aa7a3246e1e32ab6bb2ebf693272f9f5c349897538
+B = -47a51631d32fe44477b979eb3c6f0b8c67e837ee37ca451e3b2caadf918f40ba8f97d9215a6d86174e1a3e63683dd5a2d1c870dde6b32081c4a75068bc3a4adaa5a035d3e2d93d79f7b70ec5e9579720e3ae84164c909a606958d6cdd0d3e33e405157693b678fdda9830a1d8e4583c63a60c3f217746d14b0ff5d8ea9693f2fd3d1b57f84bf43de25c4e9755e4e494f86230fdbdbc6b0f8af3a2b072ea5f1b6f9444226b194d7f9c715084b1b247365abcc5a735203f0621f6833da7b244245e8069dc37c94e34a5bae55547746f1470
+GCD = 851b5a2bdf41f30c173f28e4a35609f70e9ccf9056221d788e80aaafc043916edf0c182a4fbf357a45074248f7072fccf298888b48aa6ff874c92331ab5c3efa500f750e2215a97161bf1ac6e425f7330d4a3529e06b4a241972cfee6e5b48c6f04e0736df00f4e278
+
+A = 992283e046e9449d053b046dfbad56a99f4145c01950fd19c3e0dcba65a571b0ebfe1ecdc28af8afb2b7b223bb414c5c0d357a147e19260dc42d6e5c16a663e3429c1a39d73040f3b5666535a6dc0c1130aeaaa0c429fd2f06052c4375bb4e8a8eece5dbe8f68cd7263db5a11f712253b056bd7dcf6ad5760dcee092957201715704b7e8d1ea5d603b720e94e80f3405561b63f249db8f84859e9b8326b83a8ea67fba23047f9a619642168b3d6b344b012dd9eda5ba7f17a9d71b25f0d037c526af5ec545d1fca5e5cfef45d8f9583c
+B = -244806ec43494fb8afc2dd3f8a05a3b6ae973674564f04e9a94b2e97006a15d062b9fe2a1a32cab2eef61db18ad4be5a1e6d81ae618e14c6669e17007a6f81ebb169f2f60561c63019198026eab8a33af09588dd7d3a0612cb19efd355767e62c613dcf52b04e830694fec81c733bacce7026807279a74b5c88030b1cc13f5583a28e0ab2d77a3b2e0ace71eb05245889ca135d98222f6ee30005c516467c54dbee0b95964174068471049ab342780865d8c0f32d2457dc5ecbecc54b3c2e33e1a075563716bc0b2b625e8c4bb02960bd
+GCD = 5ef3df6b409c57c5015f7e75fe3d9e68ce7f902ae1f89bee30ae0edbbab5ae7bbe7ead24be38961f64bcff23a46f0ab9ecc48b3094edca70b6315a5123d807f63cbe94f3ddb414ba10ab395414eb7e520f73efbb0954398dc8045b36c51aba8291a36b20dc30c5427
+
+A = -2cfaf6ef7f601527d1861ec20c05c16ea40fe84da648b8f93995e4d16cac355a723a8f38087f46b4ef2ad79a5b02da5354a1351859898b6bbd98da6a73e99f62e7bcfef5082e34d8b01ba3b67445f2be76ba25932f0a5cdfc458986ffa41dcd17b87206974a1f5d31372a1bb3e515817de4626ee1318ef18ea2fec5ea1a6d35c05b293b96e4a0f314ab4876986d12f57ab6383daef654c65ef2eaf3a430fecf555101e0a5d050b6034f5aab975c397a813e25448450fd637972d437100a043590b57f0b6d0f3e736319ed09d93210aae61
+B = 49aae949c54424eb967e24b5624febeccaa784c8429707aafeb4e607d36c5149856b8aacb9f00e16aabb9ae12444fa2a8552e78ddd42fc59d596e0215cd3c69f3429181c83d10e8d1bbac096d8926b1db560abb765f84f11776f6bb083b90e7202435afc6278e4779bcd85141b8378988c4641d495a4446a85ee9d07a24ed03491fa07a7b77bcefe6090e03614ec0aacff5bd3d3f53c1191ee1c5ba241120158f2fe5bb72c2039bdf1b0c32f4e3075b6cab04ce749153b1897619a2606be3d1000760f94dd1ffa923b242f98dce7d027b1
+GCD = 1cade4bcf4010cec6c2e10399370d7869e74a95e55650ef8534f9fb47d832e153c65df3a7188e638cf98038e395daf10dc2ab1591c37a61f9289bb3fb1568f55f95f42ecf34c49b26841eaaca6a9f71b3151e11b9280eb658fba9c6de91bde34114e993cee7cf5e21d
+
+A = a9c4ea796c95a7b3f35c4bb336bb4b11da44cffecafc0db7d647588edfaf0e6d8141161b3ca1b87aad446f1e8245b1634c889f0ad314121f0d11407495ca3c4823b9a25e02c541b26fec1096def857e98d5cf0a7678a03cfd5746731e2764a36c01d95427dc4f1e40a652078e16f149ca8a30b9dfff2b3c08970c3e4ed9fc95cd9123a5cd83dd67b7fc93281891ab445496c5d4a5d18a914c1b5d6521d53af7ffb159e1575556ce7cb002ff96e9dc6c476427872fb4fcfe68f7a1fe5858ef352e7f658f19b920a060073e5d003a23d4678
+B = -3261ce369957b0db7eac4ab930729f070c21f6fb84f7e4dc2eb87093ada48f7b5ce29d81c59e98c2208c525b604376ddd40ec38638bb6e16d2a1d68040c726bd16762c6f60a80f9926a704c525be51b0109d6cc8b2a3e8679b6f62ac1b321a1a7d0cf36795f1e42858ecec24eb66d40daf25a5d3eb0dcecd2587ea19a3d213c840816000d51e4d041e740989aad76c73368c87450e997990ecd4ac6dfa55a7d4d62149c0a08fd072e731d1f691141bc60f0a0edbe84494f515a256d5ac8b62a0c129da7f969fb2b6556cb586aff71c7120
+GCD = 19aa3dd163f9dcd5205fda207fa62d9a5c48534ca7217c272f862ad89fcd57c27f205ca18cb33c5dc42adc3771c1f806bcedf912e1adaca321d3067bc9cccba02280548175090507c76c70be2a49d9c504ff0dcdb1e21d4909e30b5f733cbe1079bdcccee0b1bcbca8
+
+A = -a41a6758ac0ce626a2f88ec98c74c82c9031fbdf08e4ade768fa7d0ab0901ac2928483e817feb95f0aac060803e266a3ba48be7bb1a7da130325802d3baff375250c5f27f4c724153d189cf48091bd9b00a51397af7a8c2530c515ac967664e2b46e15775682ba4d849ebbe6b77c6eb1f724d96f371b1423ac84a3a16ada86a81ab3e90e21329abfa3f47ad9bbcdeee7c7c24bf81784349844e173065de3249e9e5391ad954e3f1aa80bbec04266e26a43a9de8341728e3311da25fdde1677ef59a79b5f8ca9afe8ec646e5266c269ce37
+B = 127265cbca40f0619ce99fb0a9aa5186a6aadb7c39064d72dfad9f359c6e81fa4903a7243d44dfe67642267f9281c9d0ae87ab332bc11a056151c12e83811125cdddf25cd8520606c38105d9180634e2ec859a307c3a43f1c01dcac63832c87a1ae30060bc6dee9ff65c154ecc60a80986d13f0c63e82842ddf9a501fce8e6ecee9c44431b81f9baccb33b582d6bf95e1aa9f8f59d3345ed237548bb7b2d8002d79143a499e4bd700097a69642814bca89efb228b209ec430c68d35aa7d1f5eef19e02ee5a8e29b1e4cd1a9531c4bd140df
+GCD = 2bcb6613319cb6ece4bce2323ff4071d85a84afeee6080c24a961a3645098811b27278993b5119365f5df0ef56129cdaa6a69023435f36c43a535ba944deb5f6682d39244ba097639661e34e788af0729eebe73d68290de9591d79c086a671447676f95fb32f82b709
+
+A = 6e7439658308253ae3a2fcb6b11350eca6b3626524a4219f4a129608324afa72d44c1d942b884e4e4a1b5b02098bdd9838dc06fe6925f182f7ca12d55742d2531fd5b4cfbfb50a2f27c18c14bd54c18ad22fd50531fdff70662d31b8f9a01282acde6e62cf2257f0170fe22b9ebe371fdc595d2b341947e3a1d32188dec9faae778d34f303b890863004a735a78d65907f1204100186960a76e4d33c7bd35d6b9264dae859bb120b1fb7a3c198ec683426bba6fc65c46576adf22ca5578877d47742b8f7eb6cfc9b82cfd511a9886a9a208
+B = -affdbc796d31f7a8611806a0983b290007c7d75a7d3a11710cbf133b2f901cc63e6dcfd7f034e9e9bdd43a9514254a22cbfd50a412046b540b988f32c78f4cedc1ff82ff6c10e3a664dda01e886edc6dddee82077fa06e29c14469b4571238a7f3882a116a1c0eb6606812a665f11a9298e1d52ada7baf8dfe12ba92cd7c8e530d8ab5a6d2d41a15017ef74b83e5101824bf88c3816e2c12ef335b2817d655d4503452747471d998d1f57aafd78592f03f528381b3e41a58a03157710c7585a93d3ad8bcaf10885593f3bd307cdf77db49d
+GCD = 493012046bcba1917df2dbcc2ef2783fb7759753e6deb8b65f243ca26b1ddb99893ccc69a964829cbb9fb00d6584ac80205cc7eedcc136374ab204765e89bfbf126924c47f6a5ae37a0505eb3ccabc7d8bf3845079524b323f5369e744ce74e78dfcbd4d98b77014f3
+
+A = -324db2ff987c47de97f3fda5ec3b4950762c0591a96ba4ba7090a6d53b7f0e2a275a6eee26d1b90256e879d481b24702993e0c936814bfe2d823be8f411c713c8171491304ca238a547d626f2c975d9e9e3a2dccee6584e8a71e269f90b139aa98e59d27100369ead5fe18631581c79dbe81d16664b660e16c96d8ccb1191cacfd2f5c4753b482768b7cb2ae5fd3bef6a9aacb4d78aa2f3bc8066a885ff65dd6db8afbae13a96621a3f5164583a75b4e71c6c0000b6446838c886e88df2f7280567c5d1c571423c72e2154280407e6b4bfea
+B = 153dc74164d05e8775b9e2e7431ff6eff959db8f33f4f02beb7d5511f304d46460ac7fee591b3cd45d79796aa9b2608053d9f076da2f89c78e76cbc8cd0dbd1de95d6074de5935e14a7d2f6cca49cfa839b7c6455786ae155d97187de33a03b7e2421f9f7337748490b312b623d0282465c2254fde2eaba9302cd84ddf78f4737e22681eac32108a21f1ff7d4ddfd74707da02014def614d09d275ec49823794ef97acab0293949a894d20b56815007493cbb8df2a8cd1c73d7fcd45337dad5b0dcc44c78a4a7e003b33a49af5ac72f7d669
+GCD = 9c45c0db9668b48b2dafe8d93088815943af4cb3f2b7048474faad800e8e8a0c785c0dfbd2960e22198a01567f6b3e0b991ba07d9cfe13ba1d0ffd227ecfeef6a181325ce61f6d290ef4037c6a5ddc60e94b7592271c334dbba5349ee57b93c63799d9e0a4af332d3f
+
+A = 3728d53cd29e37c9053b8ab8c7462a8e5ac2c672fd11390d1ffc4b92723537f0504e4975969a6e46136217bb4716f8b8933098a0763d883365526fd7d1df44310f6a83879cd4d30d4b4ecac02f73494853f30207113376f1034964f502032c776798976e1e34d613cac4e69bc6e995870c6f3028d7c822cb6dd8cc69c3b0c1d740155e07af6c1922aa3f97292f0cf1c4f9c55235efcffc41ce1cbc3989943d315fd0368003aa09b69c574135b73dcc94dabb54e4fe6cb3fab81c1153e77489a2e20d33ad2f01652ef00b536c7a61dc98cf40
+B = d1bb2a3567d3ee089830e5ee0445dab8a555a50cae1eb04b06fef95680d3c40e4446bff776c51b1c97b29db1662f35d14346c51d8c86bc946496417915a2d3b90751c709611f9a62ad0ad8c9d154045821c59579d00580ea074e3b150357a22c2f007f4cebeaa87af915f60f46eb068eb03c30cea7e0d4ab6f92bfbeaeca31b44dd562ff9ddbbd727d161a433f7eb8dca5c5dbf6743f868eb2e491c8ac6d93a9e422eda3d6393ffeeb93355593946b56f933c9fc30afd8df4c55c9b162dda608350feff9ebf0f198340158a75fe0f6a6cd80
+GCD = 130fe4fd2b091ac289b64afa11aee9521c74010d4a64c13fb512a07a80c397301906026f219164316556a1d2799a6470424e6a9ce0203e03e446d7d02e83f3c22a22baad80a547e4290e4184e8bdb77a69a2a89fba2134f433ba086dad62d54bdf61d94ead085335ac0
+
+A = -20960d0135780a9cb0aeaca044f56006d0a21808a2905bc170afa846f43fc141e20efd635fbb214ee7e382dd77d9e128c1266120302268f5592d85e01b01ce133753d493543fb41e62cbf7ceb53be33f757545a19e93d2f28bd1c8b27ec236b1149b6030da7324bbb98bebbc5c06d97b3db6d1b3f12c3363df3d8b9942d3f4970946a2f4a78438c26d5fdb83f9acec2cf1252b86db03944dd7776ecddecf05edf78b1c5c1f6f1ca96742173422f9d8bc814a417c3ce7f97aad2242cd9369c33f7ebe69dfec94c08297567c80932e06892aac
+B = 5c1330c1bd410946b99cb44fc5d0e1fa4e2b2a65e933aac7b3ead33b69902cd33552dfe086ebba6ce5f88976132593591c32694cc46b0fb1443db2d4c05750b824f77ae278aa42f947248b66ceba3140766db8fe832e42c58661b05971e77ec58b8145a8615764cb047fef46d81b28810f156b036d4e1dae0f7579efd2391ea5326e18fc828d368a6d898b966e598918f6aebdc0017d253848350ab81dd8bfb9165184be7482c4adb717c8d8aaf9301713e9390a698b73ea58be37e2628f1f191438380d3453223fa3df38b25c2da52d334a0
+GCD = 786b482e548965b1769d214975b6cba3478140caee2aedf19cc0adddeb05eba0c4f2e0c8b96a2521e7f549657fcc030ba10756a2b05635d30e4057a2b8ddddf579045aa7b7fc9cf4f77c03e09d82f8a0f12194fbfe1a8f9be145c40713ff49129a38ec4e16dd8f741b4
+
+A = -13c0aeeae09ebd2d259e5691ebea9dad07c5309498cd33a82c055924f87e37a1721acdf7250cc93748d2be5c5c1a21deb205ac3903636aec5b40ff88cf7ca3bc733e1e0a428dceb67684970ed529b9bdd3c362348f1b5557458b29a0120324410f8cd89c8906edaa6ad5261e4dcfdd41fb72fa02856fa0e4672f5274a06edf011acc78de7b21850ff26b4a8bd127038b3b373f89709fedc330f3bfca998fda71a7f20c80c00f9dcc2fe6632ccdf2c7e53a2e7728ba2ad5d0e40b7f55fd12bb55280ba6222da2f2081a23f3f109765e14e17934
+B = -930a79283b37a9bd126fe8d54ca1b9efcaf0b7a710479ab4b63f5fc89bf39cb0174eaf663eb34ae199a3a90759ba7042618954d80fc38226a5ec9032a43ec8b2ad4af6f87fa564efd17f11bcf9801646e181ba279514406aad58567d9f9f53d50a76b58ea07f22f6e141c06c459691f868eec8eb9e56a40b28c7449ddad2aecdc00d838beabf2450c68f9d6c652ee592a3f2957f4282560a0e4a2e6d5787a6543c327c6f4823bf27d800c496e8b46718f3e5b7b672a6b35c81a3ded205a227d70b8f8a9e807b4ec7adc2ae209484e2f1584c8
+GCD = 3db80cd15358c71079ec993a417b2318c09e26bb5b1e5f02c3393b5b19f7fa897109eba8fbd406384b5b3981fb2d1e1c43aae2d2f006036a2ac825ff4ec2cbbbca56d2843d3b0152b4501132aeca06793e1f43aeef718ab1547b8eaeb2680472f2a65774f7bbf464651c
+
+A = -21553f8ed6e9f88a5a48e60e55f328b46dea2f55a64e080ad388af88c22f7905594413df715280fe937f7fd386ae43ecb53d55b9348d3666ec6cd144da6d81eab33d092e0b3480d431b6b35cb9d61568f64b8df364c929ec708de23313c2bff04b1deecc46b9450ff374a3a5fa8faacdb29c5397a1aa0e0a278cde58dbcad55cd772061a49aad0583250d4474cc24bccb4e6c00edbb5d10b84e80bb24c1292f605c8c9d804a6a6b4ba3e3801c0163c4814865c59e47bae162f9505bdb61aa81cf26f8c080c67347ce0b8583f031d24827b2783
+B = 48d640ab736238b9ef9f86e573f46229fc9269ac24c292a29760727f2f07913b390690ca7d66bf3af66977ed757e886354ea5474e9bfd8d305de7f5e679a96a833a42985c08e1b389597c572eb53b9e0945136e7322a51aa9b002a5642b4c0bbf2943d5ae4229be8f1afa4743a34178a3b8b7441b72d1310fa45d96bf878ffb3de022b172270f1d2e4b273b78d89f8b80e8f56ec94b8e1f17f7eaf1ca1812046f8a2c42cf652c4721c81ebe3a5a7f849c6387d67d5e5449965d3848beddd1ea80c2365eb806a5bd89eb385398abf7363c2a141
+GCD = 9e1947864def325c288082b6572ada0a696beb8cd761b67227c48a9a55db3fda0443363ed5f6e704da27d8a4e9bacf64e3d5580e693fab840d117cc2fd024f8f8ea2eca6c6b861d9e966eeaa7b041776a0c90a9c1e0192c8525888a4d7495c4c7577f1483eb4b536aff
+
+A = -a2f61f3c6ebc5314175bd5c50793d4dcd6bd8ab5908eddb5c7e453079f3b91684a6302374e43d2081d771fbc16a08caaf64d27b58461cf019663c6f33099112c16da67002d727026c27046cc50af8e5bed732e34d8820bfb861835ebe0623a66ea2d398aee9fc31234f9a32bd91be78498a009bcf86d5a88666c516151eb1d8bd77800233422f2eefc17840f176742c3ee3d218014976c0b86c62eb927fcd281f34b2663b498c8d0115af60aae8373a8665170d288e43185b377aa5df7029c32d67a2a5e207bab59f3d7582474f68375cddee3
+B = -fb489dbf3ffa155b0d820e61509a7f52f5357b9dc82d6acebb37f98fd9d70bb8eeeb4ce7ee22cf359895d96990b4e8245510427d74a63f80d2853c26f158fed0526c17b853c067e26e0a93123005f89c3df30e79ad73692b135f8f7959c9b0b21bd99d252d371e5d5eaf5418dc3cfca7c75b406740e7874c620140eefc748920916283563647d5ff3f6deffc4e940daed7ad3d98483da1115683e53888f3bed190db138fed7bbf4662b349f369e7ed38dc72cbd3f6eea86d3bdf859f25faaa353a7f224e8de34338eb82469cf56e7b00e6d7df
+GCD = 13a484cac4f1fdd917ebc10a9cc0631a01cadeb93522811a8c7aecb84fea273e2349e5cc212b1a7fcdb585fadea58eea06e8f6fc91280ebcab8e2de2b48778d647da8707b546d3bbf067f7de75e41cc0206a9801e26a22571b0a43081e3e899948110d789d2bc85ea83f
+
+A = 4395b701cc83ea6d64835e0a3b6dc4e5bc5ba039cdda2f3ca0bee40d50a033cad1081c3f33b19a2dfbe58107ad50ed586b385d3b81973a6e172691f4eb3eaf73ee83925e3ff4c9a05ff845ab72461e0ec9a501a248830637732c0f8ca05170994aa5c8beb9881818cff6bfffee72c88451c5d12bf1323fc150e836de5949bcfd4d6fda8dabaab425d85c99b64b7504c663ae0274140e3bf8b6d2a8aaf5687c88abfae86f77a7bf2356f1399785326e2771b3c1d08caf476a8328a3fde423884662ad8b6ce5c6a17e6ee5d7005b4401710f2857b
+B = -3f7b4559f1603ee48b25561a3be2d0b135d26dd6fa721c5e68f21cfcb63527969809cb550e9e68493a4729040bc2c6840d1e6e23407b89bdc18290ce27879a90631ee32625f909c028c26f4b9c27df253441fb73ddcb0abeb2c05b8474d2bb2506a6cbd399889e25d82809fb99e9ff6468e5b6fe07d64e2facc1391c25323ef8251c410fc36a99267e6f406ca468d7f0773a043f5e4fdcadb5fe0c50bb51ac27bccb963f2efad5e76ec7e55b32115cc677ff2f8c19f1cd24ddfb9a1d1e7f7133fc0670f6846ddf5b89c3489736aa425e89a1e5
+GCD = 3256b914b43afa449f729e5caf16e7a74422a46846511cbe4c1afe8e1facdb61ec9c1eb7d120aad212f1b42fefc7f02ee9c057d14b8727073a4b50a4a25c89ce61ac523cbfd2e0a2c243214edce1271494db117be2eed2417686605d3f0e98cece81513cdadf0d37bf7b
+
+A = e04824990c93c5bf859eb9993e6047e221f6e09732523d229846ce37257402246c99fcc899db1dfa3d179c2dde4582d260e00309fbc44e27cac544781412f592e9c7180368efaf7a0fd41b6924f7a17b39aad6111e0aa42893dbf4d999ff34b3313e46f49b83bf3227bb001bc217c3ab60fe920183cbe0b7e0d4b0c859c96229681f178aa5317be8188252b438ddfaaf3dea6cdcb282b3785fc3eaa49a9c85cc0a0cc0942120a48d4e83b41de62add66d0e8185bced36e4dcd2d206399e93dd4b9d901107f608d50be93e9ffffd6052d33d0092
+B = 9943ed6897661272cf6ab2d43dc876ef1ac444ce693d9266278fe47058b8f1c5f61d4b0e856fa0c27333655b05cb9d88f1e3984de3159302538011663ecfad4f2041cbe025c4afa241cc5639e5ac753b13500fcd80a99f3b3ff3fac70cd3fca11f6c45f080a6997d592acb3bbaf2774571a3e95019539332635e89c004f55fe4350245fb2e7a451929f1ccbece66144e9cc6802da8f9577e0645ab61f0064d601dbd8f235344468184465dbe467e8b30bc92a6bd77a74e792fa73fb6a68668d9a07508ceb140b2df9fd7ad7990bad3f48a1d902
+GCD = 4285c7d6573f9c900098add5575c13db7eb2f45a4403696045f4fa652b3bc792c57948451de05c2e9a89b1ccf1d15ef80dfe01493f2dd7d5bcab16d051ff60da2d193f053e19969b735c432cdc18d2d28992500dee75f1dff93872f21e15e582db8ce55c139155c65736
+
+A = -5f48591f552efb265b53bd3fc779b6ea159323cf170834b8dbe8347e6dc31aa7b619a816dfb450728ea0481865c7510af876e4f380d6f256cc76fa046b7f799e089e79e20a7db398aaa7e2bf11bc6e659d94795ee6afddbfe1f139a45168d60fdc7a8339893f8b9b2ee762be7478ac82795a2c6f75992be4e8514172b3438081ea23a45dcaee58a0654442a4802b96b96a6a12f95c0fa2706ad4d06d2c14941540c34c7f2614a4b4eeb382bfca210da42613ab44ab4af185af54c26831150ec5ce84d2e48dc452c0703afa5407924979192e638a
+B = 2d22ed7a7ed26d7365fcf0ab31f566e4d66fb31ddd8558646dc76668d6f9229021285233c885fd6b1cd9b0e3c68ef6f19b2889dbe3a48a71587dee74f3f0654f2d3f6492d0126e9cfc6d133e7acaee177068bfd8cedd8bc672e11e7e012bf4254d007d6c1dcf14c2bf129e4980a2d6ebde81e5ae7f1fb8f4fc107ec3090e143b0acf0ab50b75e096d06bfbcb571120b1c30cb1031e2749ee39529a1046c71dd23c4c6f80d3e2787a7582c132dc07a85fd97d3aa19732149aa3268c063d75f6e28c70199b711516c1f9bb88f284ad9e83f3da9698
+GCD = e0ff6aac8b2ed106e05736b761e8d50b55d075c2cd87d459533566617aaf707bd996d8acb863714d00b5f43567a96e6df1ac700aa713afad241ab0667ee580b7c7dcc42d5c4dc76e92b69b4e2033ddac6e07d69ad20001ec11f69a41b931e1a9d706ca22bbf20b88ed96
+
+A = -f30dc9e03b781d1205699f77c0083db25033ff51a4c2ed5c320ca249026eeee3294202185fe3d1311c7d4d1e2b3f350bbf2d7b73adb6d8ccf4b10983b6f6a706c01a80045a110bf43e9709a01c55733553693b5086bec6f89769248a7fc5b68183b32c642800e1b8813488a1b7db986f8cd015eff30c889a22215f9513f7859faa2743524d8833ccd78dfbfcf7bb6c4e3559d646cdb812245c048824e1887bf83a6c7cd93b07d3c283a8109bfd020d424c65f9b970b7cd85df1fab335d31f087ab4855c1eed314c246366a53268dbebce64693fa
+B = -d21e3a8635c79786b330b836fb676306831f0eb9e5f83f4183ac19a583982e8910e16975c09084438dd9335e0b29a08a13e0703ddcf92e95a48c4aa92eaddd8126d3469bbbc362ac2bbdf04aea719518c28d642a0628d8fda3fefb0274d932f993bcf231aff895d0c2b06a8f466fccec4947418d20ddbffbb2df98613da774ac8da6e9c093231040056b253038693482a3d6cdb8125d7a10998b9a24b495d94eddf850be7e864daeab9f46d6f07a6101baab685db2cd9eb491a7dccf177c2589b6e0546f8aff74a372f51155da8254d433fe17fc
+GCD = 1ec6659c7c6bb687558a63707211bc261f6bbd97bd0e159b31f3083928b1d0384f5363dade67c27486b57b17630b61d280006e29d590b263fc93a17e63fd4bbaf2267f19059da7f16a2075a0fe64c480fd08fc6a2ba3ba1f96c914c8ce5271ff2c983a41962116be2adae
+
+A = -470776ee7edfae83c1e780efb6411ceddfe38160a199b62428f0c52f0c430279285e374e3c83544b11bcaf779f2645f4f5fe6dd978ff0bf81ca02d5a7d6c8ad0e770046c712c4abda8b17f0b9539e52fc31a00ff17235396ad8cf638ce688767ff7b7c2de9e95dad03c7981b2aa9be16cc5a7d0db915c5a2ec05af056ad5090be5d448b672584b819a59037a74588e0bf6ea4436e6626e741a86c4b907f821e749ef4692ec20284ca23e75f2493c9ff866127556a088913354b218cd9132bcb48f49b0311ba8a1b539c19169f297f91a2456121d8
+B = 1ee493fc66c058c7215909feb07ddef942fe0424de439cc3d2c08d3cbc6864965657a7bb8210eab31446519e0c99e4ff5f502e516a7cbfc006c77a5fd926dd876c2fa51fa2073a9d721031d26b1eaa461f25b4eb95458b131d134c4f88d3d3deb361e37aee07a69156e5ba7e1f7c31e0e311d9530e089d4f4bec878391337d21469caac27480b17cd82aad4724e5d5d0a1cf07a61a18f22f474d23d41c1577b648fa5e97b70cc8f3f263d2c38503263c8ebc60c14adfd54487caf80a70a8782201fdf675f050cdf3935090eddda8e7557276ac5e2
+GCD = 472f7258b3fc6444abc1194b85227a8a3507fb003cf68cbaa692e543778acf9976bcb7f8763527eb0b46686591fbc3b5e6f9c1b759935ca9b84f043de559e5bb2909752ac488f6d1aafeabba5af8c960531f12f06b8cf5c65b9f0617ce0037f4b6efa41fb7d31fc3e8372
+
+A = af5e15d8b89b46ecceb4fbd18b1a08df5f057e18c242d30e5a9d8ee23aa64b49c76cbb92fa896e71563e8141a389c97dd064fb42c5f0c12032e06d6634153657c38cb203a0075513d347b9a9f1e6409c398239d59542176e32dc7fd8b4fd15aafd502e4b85ebe37dd6d8c3885ae90e319ec3210ddf1dafb0af681e3f12adaeb6913f18112c6f7ff9f97b791e4d5d8b371c845929cd5bd8552e210f578911a42087b125e499f853d76f4f913cea5c2838024520287bf1ac69a0220b3f0eeb5af70f6a91743101e1f41f8395fda1985c21d0f83e7c0
+B = bf03779147d6706f6af24cd390f924c332c6a6dcb620872bec3ce422e6c4101b868d8f40025406f0ce1ccbd52552e323a1d7ecf78941c93a11201d6bd2316da427cb3a84844fd90cdb05708283b4421beca4a7b5273885b7ef5b973213af11db640718f643738d40595c7a8de3c0c2da6c2a05a3751786ca120c56045225e79abf38b976b2be69ddf0086698036141a6516951eb6007944e2d156dd0f16f300472e95b3bafc1bb367def840c61c2bddc1bb28ea0040ac61291b31acc7675f1f217c85d57a8339f0019c35fb56cd0f3d9d99155920
+GCD = a55f8d7d9562c4e6e4180dda74cbceaed91ea8c6866a5af383052fa800f65df1e2db6ae3721aa3604a9da30cd0298e659dad33b0c4684420b69a471c1fde93403658504fb6524b738ed9727186ed1819db8cc27d6526ca0a4b10ce33b2c78bb455a492e10ef67977a2760
+
+A = 2ea2383b39104a440aff46d2e5989c8846df5f0c439778bb3b3ff91caa7e6cbbf80bc7cca4e3590573b9c1505d9d5a8c2cda59af8ccb5de20ccadb5f05df216b6b870a1eaf8a8737232ba6fe0e21001a7163511be5696d48167066f2b5a1b6cd303d02abdcc65989f94e3f82e9c5b0ca25ad827245fa1394921f100c2bc148975a831bc3a0b95b165ca25deaf6eec72d38466fdba2225044e58c2050909a540ac6284b6c2ae3bd76a678d6b01b5abb48f954b2da7b77d8e84cc92e5ca3c1768df7d1114f934ba19974e1377a3a4e36dc55b50544a7
+B = 2928aab086e84ac5fb3170784d45741e720806340792bff9420e29faa287ae9703632d8e0f7dbe5c09a9ba71d00ef8fbdaf4a585afa5527ce0de6c3f73d8f2578303b9c8bd9d7d981f3ace81d42c303c013d39535fca806b117b473ce71b215517afff953e6540cd519617f7b47235559c1ced8648d694c4e9199a2a460d6ba75c0218fa19be6e08f019902b9df934a0e0243e5cb821617d5d5b0165e4dbcddbda053394670393c362e1c4383356f6dff2af8e2dcda069f7bc8b8eb538cadf71763e4f0a8d54dfcb1c3f940618d37218f6a11a210e
+GCD = c26b8776797890777ec9c3c9655e49e2e4bfd6f6abc3b47dc9009d7d87e12d5df260dc583cc98084995e24604312347ee7fc5e2242ef46edbff1a03789450607190afe4b9b45236bfdefabda85f57a0ea2e25c9340101fabd8c66e3a2b6c9cc460c874e25d6a5c281a3df
+
+A = 376ae2158155ee514271540a043bd8785c45837bfbe3e9cd22681d12299f04158e97518dff8d22c66461f65756cab407c8857966aa14c1a5d32c793ef965525e29d8acee92e8fc2d93c6245b575ec46c08ed2c26b5bcd299049f8b1e12b1a11b0a287c5eaad63b5988bd00e55744b52a5059c7c7e9439d895b8357f1401cc28d4c7512b7260b15a8031574223fe37667440d782bc98099b4efe6c4216761234e0d57cf723a1fbcb8f4840e791b52558dae207bfc444da5030d5f4450797adbbf9f6769ed8ffad8fff44a52bb84eb6e21ce756537ea
+B = -8ee14eb4fcb63e596f098cd5fea5cf406d2d5598bfc8bb238e749503fb6f986226046f2481c321da97b1927af6192dc77e39be7ee659a1416de1516478ce934835f7f73f028c558158c7e6607c4c9d0fbd0ad0d85917fda76407fac4ed098d25fc431c5cc2c5ba3518d6bb04f2617d21b6cb027288ca5060509591d4110e52762d46b71938227d9490901ef77eac66e33ea7e8832abb9ad001e46514e6b7c8e9ff0167c110c3e2bc838cd29d6f6924b9808c04edb6b99e03923eb93fe354202718b8cce6d37000aa4c98ccd3a68c9e7810cd5cc0e
+GCD = 13a3bdd7d93c387b214d4ab924aa23efaf686bb517116d4fac44b81112aaf4e10664017e2704aaaa3f4c1854d6026897b8e59a13009c8f387bb83fc7f3d5a6dff80bdfdbb39a2dba74132c42304a5a059984ea8615d1b4ea3ea6b8ef6e3bf30f3b8ac70d4252f04351b706
+
+A = -63f220d51a9ecc72c8a0478541b6f187ad38134c055ad52337980546aa581c96125437d47cef096f4dd5ac61ef20e3165d2a051d993cabfc574a610e4245e7a42c99664b7c7c7b858748452abe51f66e02ec2e49ff003537aba854c485c747775ac33d9d750ed1d540e3c3df35fb1c42d6e4dae9c602ec043cde88beebc91df43fe8378199729bb7a051ae50309bd71e756b58199617dd86607f1c4180124b150ae3a285de5473d60920a8eb2828ae15032ff40a96a4903e5402136984e7ac252d53d3a84ec4c61d4e37312927e38df078d1d602083
+B = -2654686b932cc6e275f9cfe5a5081a0ba788a007d333744766aca794836750eec8c57e20bccdbd34ce418fe3856780c6dd7ec37dc5690402e474220da99937a82cf9644a4f96996fa3b77f0535cb4cab46a3d270ad2dca3dc367b4c495d6bde8f453dd2fd3af49ef13246fcd2e03adec7789992583353bd3fda485e53c79efbb2ed69af0221ec47bf5e48a05839a89517b84520af4321795fe4d0ef303efff9055f7c04e6824ccd9e91c4a61e2ee12ef07f338a8a907553a863663a6a8757f66015dbda590920c42df3ae9fd3b9c09caecef3e801bc
+GCD = 3822cfe15cfb3966ebfae76b53c2ac36215484883d019f699edc77c6023e530d70dfdd60c3e1d61a9edef076a988e1818860b9d3108f98af2186ffc83c8981e0a83d7f0655be11f5c6c8d9da05c0943ada2182cc4cf514dc6be13d39f802093ad63c0193625ac06ab397c3
+
+A = -23adee5c85a79c0a55dd12cdc9042a1d13a9bfbfd6845fc39a122c39a8d573939931446329a0c89fe0280bb2d9689eeaf407ebfd263ee373d5c277cd8203a6179c3ebb87f1d260f89f7c5e62afedc7a3f8fa67d93324038835213e425ec6ccd644c7b9628bbee49dafd9507b5712532d7d2f1478a561cb187fc83dcfa06b19d677b2e9cf909f4c14f681aec69d6e2a3ff4bc23a1a01cbb8d31ffece65af16662a2194276cad5f288348f9c1542f9e4d2c2637ae6c377a71b9b33328f632d54206a3d1e854ffe1513ba8761ede4b541fac95cd972fcb
+B = -11c04e9176334d0d94a9b0b549e435b15b518ea9d8952930703778e5ef01d7c1205aa0c41d6ac0c1c78f951022c75ba6a738a6d7ff3360a187a4b45b66bfba91eeef8894f45292d5304eefe308df4483aa962d2c0ce3e54442fd9e19a71b27e91543b0145e0522c8919935c196e5f6e08da182ec8fc24feddde107ba76b6a8588febde5a82a6fc34540fb368c31a73b114e34172a921dfa5f302abef0fc7641e7b61c0604e7ad92f72d3e8ad85f40dff9f15e565bc5492b93ea29827d446e1b54594e644339e1b3a212048e949639d5047e4a5c835ba
+GCD = 54f50d80c7e43770f7fe3f081d1c94e0868ed09e65dbe2ad01e9b60555bfa164e26b699c3608d86f962663e6500fab6852c70f2a61a45feb29b52d48981368b1b85adec9334ccea116d55fc8e2b27963e4109200829e1bfdf42ddf0105d38dc73fcbf8cabc9b15f3fc7ee1
+
+A = 4f5a15383f578ffbc4dc8efa64328b7e234b0346797d9445773d883a5da940546d6b119c142cab6b2104fe397e0a0616f7cc31653aa3d765e5598e19ada5045c2c6f75cdfc381f9785b638c9056cfa45b33107121e2c5517a7b3ab1768313f3e8c476a7eea7e8d7fe3e5a1a56b1756b0b1f7913c7b6cd14c390e6586cdfcf8182cef221839d2ee30f71ed22621b7f71960340cf9236e419517aadc22bdf0bf766bb58aabe60057bf354812838f21bcca46fd67d642cc72a33fa16accb864ee39afcdd8d96749d7ad24bbc6f8331be7a6507776f13432
+B = 7326aa2bc4c04d0b61f73c281a69b6f2299a3b0db947cfbb79b7f249c5f6b65b386398445e00ad5dc52c395b4fb259c2c7353444396b294cc8780c8f3ba1f7dd857ec4a602e966f75d448fa310add402f8041b0188d7e88b751c71cd967462fa6a8ce23285e2c610597af59daa81c3b340eb006b66e72295914aa474838fa5c3077f2eb50da86dd03e5a10150417fcb3466b9bcb852ac790c4aad5ed90ac74704695c441be98e388a6d1de914b06a48f01862015c49e72185faf772f80c8090603a64cdace7bfb414dcc972727870021f7086fae1fa2
+GCD = f36d2d696f9850261ce219dffdf587dfea93c29d56dff4e4e198874b9ae43c57b363914c3bfedd787e362ada19e896e0086258b91b21c47b7443aec5eeb1dbf492cf2b5c61d53de4b5f74175a4317c7b72bcaa571d47bdbc97d45df32a7e792499e8e8901df937fd152d96
+
+A = 4834f5ad8b267c3d77b5588481b8c20919aca3dd926588a13d07a9c13ba42b24a127dbae27feaf6949e3366e80c29e9ca58770f9dcc1e99143a8f099aec27d3beea8fc7edd6db12603213635cffbca3de9a8a698664d05265b591dcd25e5a9213c544f0da31ab85bc4fabdef47d60829cd9fa698d30a638b1b68dce429a9c2fa3bdf8799d95ade49126737a553edd5708a187cdbf5aab13f4594cce2a947f6f0ef5b997792bd9a69b02d680b14b60d28dd4b73151d73ee11563e4eef2f4da405a937765a5424b7024b24d6a8b56e07c2e7a8481c2200
+B = 16dff423e06f1699b0aedb601aff0ce8be690671c7d4d8ae3fcddbee4bfdc064022e9bb47c34a32af7f95b19554a79d7b65596256db6eaaef9a2231536e0172a86e550a8dc8e2e302bed4e7bbe31b6fa12d66ea920135b5674a97c12ff1923908fcd320e83187cc34e7df39f72904d8b7e150a89ba2fc46fede59cdd4f728d65cb4e0bca0fda09c93b8b1d11c15d2ba39e13c7ceceede607335dafc5980c4150f510257308538ff9d443140f32090e73d59f82c642185439b002da6a38d661f9291041d99a6e6213855f082ae70daa613341bd177dfe0
+GCD = 1ab875f3f8da5bb12fabca8c0682682beedb859325bb686bebf3e470a5cf58c186674cb54b9c778c0058860b317f7812e74bb6aacaf4bec47162d797f39cd945522017065f9ba32565f1c0436d1ba5d4f4029fd7ff9852b3658c7b59a91a0a87f117d37127f631f3d1bcbe0
+
+A = -14cd3c2b85932d460e19c7418d6c54fed7a8784e187dc41f7da8eea544c29fb8ccf852f97364db09a20d0addc985c1d4ce1073b449b0ceab2aeb17500c9ba7e5f912d0689dad3e23424445d78ddbe91cdb1c3861dd62ab18924c8cce06c6ccaea2e0caad6f786b36ff1c2f9c5cc9812f8b2cc507cf52bd871bbc016010e5142e0f456a3bef43cda12f77369c9f2321397107e3c723ccfce6d9425c8f5277e9024b2aad66ab2adfafb40c52e5d819362db87bf06e3c51e44d1cc552734ee9af8a9bcedc860e996e2c4f0b064de98cd08debebadd7af641
+B = -18d850b77e1cb63c96fc912150741c6a8ed963b8ad516b5e3b721928b1858ed76a672a9682e7c84ca99a6dbf6eaec5d68c0290801828dfb55abd62020e71b9c041fb3b905d2617ca029bd35cfa1c2c034e6b8e63171538857ddb2157eb69f582684efda22755ef851f8e63d098707a4b7ad73b0b67e2ed88a60fc5ef3adafe294288961ae92b34165e657b32e1ba34901744300c4586964b6b2e36202932bc5d516b726df63c487c13a13603bd98de43d2a1d70603df6a5dbd01b57788b8dc0da246035b0af2a0e57308cfdb860e5f0957fdc5e6327e5
+GCD = 34b4936e17939aaf24328b54e99c6b6f6cc932dd2562e390985a73f94db4c2dbf7be0850f76cfa25df20001fd519563bef158b0c804c5d3071a6f7f6c961f0dbf89d0bf6bbdeb6aa358297a1c9fa30ff300bd838d1f36d44099477e32cd282b7af5b871b4ec5a8a22e210b3
+
+A = -811c871564d5b3ea841d103932cfa48ac9f8310024d6294c5a2fbb5ff19d2c62f55d2c25c5ad0031e84ab35f2d3e213713680573f4a36e4e74645f717e1aa2d2f0eeee8d43ed1889ca698f70eddc32763c383f0757bb523644eacf8f01125f115010fc8366238f609d1294763f7911c12210156be097a818a9d0eadbb621b67637b59cb3bee59dcf60c96230d8504808d23de4a2b927164437d793d4559fa718abd18ccf2c52ba05f447440890ca081dbcfccdb059d4cc4fdd2ed6573cdd91df8cca75d8881b135702b4e4a7f8b948ea8497e8478e8c2
+B = be146436ea9abd765f9dd838ce33807ddc12454b94bd5d9978b388e60e417b618c639e67655dca27566e04d692be56968a95f663d0d70e5228d2d628ad1be390bc39a4f2356625c69b5f3885e7987721c276fecab6e23856610e578ecb9ee8ab5045169b0733e5141209708e9f84c9c2067f08a6c1d551d84ea349da2d15e622f45b56e8a4a6856290342c4a3e1045919471722bc270cc2ac3420f0cd5cd6bbe657ebe036083c691e5d288333c53c6ee7a83092688a2f66c96d5be7f694c1e31e57f5769023415ed0f077280630d41f23643a89e91c32
+GCD = 600671238399ec8ec83128e16e8c7b702511e4052e5bf2630dff45969d26f1e125e29dd621d4e1b176477adf2f8aca3654beff0620e78b3363d6a97b9dd35fcb92f369377fdb49c385a080f883224d10b81cab74920c54fff2dfbc401e5023406d7e0941ad3de9c1e52c93a
+
+A = 2ec6c6997943d93491835a059adfad16be937bed7a11bfae86d5be980ad1f96e3584ff486b197ebf67722fe0656d01c8acb5d6713faf39d20a25ad2ec247cb7688336ea7c377bab1dabd3d5c6532a5ba0bf3330c7756b4db3f5e9d7d2145558ecb3f4a0b4acacb62ff2f37b44183da773510c6e344ec9c474883905c32c9abd405036639f2e7be7f315b1ecc2c8ae1476fbb0958c3d730971c8562b91905a81a1ee54ee62aeb681a7813ffb5c389cfe341f49dba5844ec6049941ea519f91b05e89469125171cd85605d2fdcc3955d5278c3945b13d698
+B = -452a91b3877913af1eddc84ae4aa3db2ccf6287eda28d9fa6d81c0a727aad3e7f95138956bd17da1fcbef8be0c73cde30c6996f601811578c352d3be30a9091ddcf626b71f017a32caa5a29532dafea6b77ae631ba6138c619695ede258e3063e18624b1a936c9f6707d2092df574bfc48f73a0f3440636b2707e0a989cbc25a232c386fad7487db7974c41c417112fb81c3e47f566826fa7f1c7505123ad380b4d9522a5e335e774ecbefc769de163ac531ea7fc2d74cc324a1dceadff695dff218f0b5a7dc06257d884279d3730bb1c9c2e6e69b0830
+GCD = 908ab132d64e253add417c0f4830b22d3ba803c844d32b8f0c30f7a5af1db75c4ad15bdda76b00919d7ee5eecd2284c16eeddd137687515e236dd61397261d2264813f0001a3cb27cde35bcbceb720c61012646b5c9d3635754b6733a536af69c81e0101918572c48cd3408
+
+A = c2e55033eec5f33206c6eed7a9908d65a9e9efb60d420607808abe82e18b1197bd1b07c1e3d11dcaee028f4ff0dff0b488148f599711c7f1989c1c6fc480f69a3c05e28394a2efb3ade1d7a176291437ea2cfabce67fdfd3b0a237bf10a49324fa873056464640783701d8c9cedd8fcb56ea5a6b260a807acbd0ac4d3af6b4a4282124254c41cee1e60441d2af3c2890d18202bd75a4463a4af629c1d8d8204d652dc0bd95fef8786114f08909f9babeaedfb6cb04cad665442dbee0511f22a7b0c03ab8419f030bad1e71c110a1b7893942c845c54c2d
+B = -29ed372cd9be405d0800e62496850ff8cb8d366499319da78ec5849043a600387fe52fb62fff74299ee56bf378d17c6969f903cff19107c9da3a1781492003d3c2d02141859fd5b5d7b02420a47c861283929667c3c6344f0151c52417ce698287d5f948d8ca449994234b16d30431bd5446c4ce2c938105c5606a22e54431d50c0abc7b087127c8ba8dddce2e9cddbf922308afaea1c6ef1e04d1b01a914e03752fff756b9ee1738250725d8f93e95bcffb5e26d645dd8a1b1c98acabfc9098deefe2773959977a240fee979ef4b86f06bc105d852ccd
+GCD = 103c476c792670238e34ca359958b781ea74b2725e34494d5e214c4075f1eb0707ca3abe7c53e8453b70c84de159948f49f1fe181898f7dca02228ff9e8531899c2865be84d65b3d98127f79021fae48f8a873c312e347f6213e15d90b832af3b51ed95fd1fea825b1015ba9
+
+A = 6abcb7dde59d9b916fb69e594c5f4452d255bb94ae38693bad2d08df28c1d29153e277b61bc63607a116e1ba912b54831cd35ed63fe239120397aa9c4b9b6dad5661ad9a0ffc9e4cd1068b10ffee61d52c1babf5cf2a123d3af1d79593178031636c11e6a099ea1df437848ed502efbbb548d28ec7071625f652558bd998524f0fe7dc05e93942031654f5ecedcd632b75da312c5507b16d61671a9c9df94dfc56e1a39ba253784de4f9f77fa9f215b517a9da8ec87f228a9f6ed399f265a03cea0928426b99ab82c465e9fd2bb7b6bc17709734640b91a
+B = -61941271bdf17917bf9b0ef273f1990ce1407d5b69b093bcb6f2b12fa7357cee984bb96ac3bf6ab161c1d4c2a34f965f0103f3e364cb46a6cd4634a9bce894d3c442f22a28f95432834181524468ce047a92a32edaef938abdb1b26791716aeb857946bda29dfdb8e1f13d5e90ed39a616887e3cb9df43cff177e09385013fc9655cc4a0dd5cd1219b4b9122a65476b6fd65a991fcde21186780ea13d5dd1544878ab144ab66cd14c763ab17e88c4c7ddf3540794ac98060d552a8a54146c2766ed8fe5905042d81e7310ecdd587e0b0be8fd3fd95762a
+GCD = 1535691bc1482edf5ed7084d74246a922e7e9c9422c456342e68f4b8d4cfa33fa38ff90b081f5f9c38128a12da582729419836d4f54659b7b254948c1e4acfc38cec6221a3679dcc24410e18dd780e2218c95072bfd6a3191c2f9e8a4a4be07b655222203bf657e8c37ae687a
+
+A = e0c33ff19aff7c9ebb09b37a5a03fa0e49d19b1ec74192ba95df1a854ceb7e93b5dde250f9407a54b4543dcd0047e4d94e63d84d19e62b8a1ebbadc019c762896c8face0520003012429170ddcc426da38ec44cf99a3c0e7ad12f564251751385eef6900237bf2f66e9d90359ccdeb2f469007283869cecb5210f30e90fef28ed4fcea20a4c7c6f20d0544008f8b40b524d03bde03331ece7e4334b428fe9a019efc6e4a84e28db2f19e2bc323995fb3d780699db25db694d72906d88c1f97c2842bb93eb1f823bf7d0f8e8577d97c883cbae0c162cc338
+B = 390bfe07b1aca8402d8f1c3589b8b892c7e4a4a51fc066044e6f121e27480430612fc6cc133babce36cc81cacd8853b455e23ff678c8da745d54b91bf7ce23b275c1d8161779be25cbfaeec49ee6d40ccebbf5e306c8c66a6da57db657ce62a125484af5c2da651ae584c376f9590ded16e261151766d6d25429e857dbacd0e85d21e251ec54af7af2316b88f8be5c14594c7956acbd4f61136615dfd88d1d7af9f0db41fc6fcfb823ffd33b5ff3add88597df6bd94bc3430143de72217b268c104f770f83429734f156ccbb77dfe301edc6f54635a9ca
+GCD = ff045a9fbf222e980b500d55552738248a176139620102f769d956a9881c2a0a0b4c99ca07204ccf83dda76977e276f192490d418ea0bb120dc404b951e08ddb62a26cafb629d3a801cbd455774a2de2b8dd61bc36c869d08f7507f80327bcb643a30b22e33484b335d90136a
+
+A = -31c4f524c95b089a7284b44922494a3c4e40fa3fdb1a9a5690b3f7c1f5bff7a75219e40c7e0305f88c87564ea837b1001c321d73b1454a557170d179d0137b9327feff43ae4b38b55576a9fd18de1f54e545c873c2c403b5f6fbe31e0c7dee9e139889037f4dec42c89f1ec86bff46e7babe9b0181da3d6b7fe202b5435515e28fe43010cf90469500b7ca1b3476c12487b53404136b6601279fdddd491632a56603751808c0537a3997de90e2c0768551b717231cda943a3e6574852dfb8902800d05d9f44bd0f2beef43734e906dc924570499b98e5786
+B = 2b4aefab57ba2a7b643071f86529dfcaa8686f99f1952a5925ac7261707fb69216f3d0c7dc6ab40c365b0cbbde70db1bb7f5e92771dba99fa5263d29a820cee6da7d3437c7ec19c6e8740c760e24506aa6df7aebbf378c9f19f2d1e2145e5c0724603a66e58453d2837a84d182b642d58ff98a21ad29d77f37cce10389706449cad5d3b3ee0b925f6d3f8a726814bfa84276ad74029fde17a8a3fa7de218bd4f47dd06759d4669ed57d8fc47d9ac36d068d0f136822d2903cbc2b23b37c0a46c3f98ffe6e036c14d6579ee387f588d51b6b0e3f1f908bfb0
+GCD = 19f03d9ef07f7d20e550d29072126142c7dd981e25f41a54a63b7fed1528e2001fedf11c7e347040d1f6065e4deb13c6621c2e14b4dbee3840b043695c7f227f599fe07259db77a0d1c3920712e192cba551781e9780138c58fffeb96741a74f62c8f27e5ac4d486b9d89641a
+
+A = a6227a9e8b9d8887ed66563b9e91158f3601b865f722417716d2f4109ba560cb41aaa6f2d2e6013f1a88ec0e68fb5836c5f376a78ca0845e76c0436ae1600fbf9e2b02aaa441fb7681c0947cd1cf1dbebe27528cdef48edc0423eabeafb2d0f5ec36d6f986609bf741a79556ce712ac59e209267ac8e19f710132c6e13d5a32255b73e959663044af8da8703c5a6206085e5f63635dbc7e0bff34c73d48d4c7d690c45930163102c035480b406374ed07e0f400eaffafcc5ebcf4cad544526805e7c33af8cfbd7c9d6cc79817fbc17ba5ca0d82487a8cab2
+B = -ae534f8de6d978c99632a44ad0cf8dc9163ca473fe0712678efa08ce31866b25a9d9ffd479d7a9a5b150f550979bb909b94333c8ae733fe9574592c7e0ef1595c60a2b8c05d53c4a59e13f6b5c7ec0500f46ee83462d38f78d6e9b65df03fdad2e120a21f6647d74b2a04970ca4ffddc0f30ece85ef43e9bacb2b82a9b029cef1fa4a0d8cfc1309e9dee74c953ac7b74675869c172ad6d2ebecfb60affa2720f20f3853cac34dfb51087dae47726e27387e6e111890fc1bb8f09e90d36488d98f427f11c1837d1182acf653c5988c067a41feaff9af8d01c
+GCD = 2868ea67876fb1f10ecc72461bf3001e83bd5e8ce5fb3f49248c072513fa35079ced43e5c676df80c6cf25e9b3be88fab56e1a11bb6abd73a9ad2cd36ff2a9559c7ac30b2925e57593704594b43fb411f75d1f9e011c9f9ee6a2f3fa6579dd74f0adf16cf9010b3fd79fcb972
+
+A = 17e4623572fd48fb138a23f21c0aa55d9bc5537a24d6102d641567daa33f1aaaa3f793803892f51c5e551bfcd341812de4190c02d7d68c0369f89dab6bcb203ab2cbdf57bb4ff20721f593d4c92fb196929b839da3c93cf33818c5078518c43a39fbe946537ef4be768c9852c1c18f7ec258daab22c7536cfeaa73e68ea56ce709fbb650a31abc18e7a8cd6f16764f282ae8682f259848b184200ebf5f6929403cfe868e16e893c50ac76757e6b89a1a8b6a3cb19f51dd7ae1354c653023a0b422046c9328318519cd007e3f85f8fed9fb3ed851651867d3b
+B = fb1a0e15e5acd3847dbb4d8fbf2cee208d89542e34c6b9bb96ac37417a51a3a41d5dddeb00cbd598db138772fd993cf7fd0a33f459b8752240378379051b5ffcaf934c1bac1f85ee9c6dc30bc3bf94cc8e4323d5a566299bf0b6958ed538ec78e2d87d1326daee311adf0407fa656499c1376bfd9760992bc2ad1a5c638deaf606acc5b7e068b227e6efeabd1cc11fb8a902820d3fe909630d6c55581b7e990ba056aa12953fff45512fd79bd45f517207a85043e7fbbb30613aea14d183553f24432647a049c63a7cdec0adcfe0e052880e470b4a89551a
+GCD = 327492372f235a22708b59ce755b17abbd33d88902b064339bbf3fed1886e6752cbeba6379c376c730300d15bbeda580effeabae39b625d16959a36f41c11d396c230b5a1d1262529a310c4a7a33ff534b172b811ba318e08d54631f7c8fcf2ea8dbd2d2893386362714505c3
+
+A = -19833a12fcc2514bf5cf9254526d0e0c3bc247802766b5eb6f1754f8845dc6caf829c7758f2ed869df6329b1274607eb93409349b0074ecde5cd04e3cdfcfa33f4f6df3b3f7ae83207c7be631ab71ba4775d0c19dbebe3d068893291359ede7b40745d84b9c8355dbefb23f31050e2ec6f38703b7a4665cfd06501d33776a2a1d03cfe48d966c7a354f45b79b0be6f52671374895a393fa9ad26ba60ed4c87e6339973be7651a61a7a1d07f6c7d6c58277a3f5bb7b61eb1ff5810cd064f6be1369cd8194b062d782c197c3aa5bf6cf5b69419a4de63aec37b
+B = 58e271c8f626171e4076f3e149f7bf6e9638a82de4d10f64045be01d2238830ad10f53e7f6ec1c032f7bb4c3ba60b9fd68a7a35d6058ccd39abfc224678b47af11d04df750e2177cd88164b111425b65803aef2dc067cfbd1903ba4f647bf45b33bc6bb3a43d552028fe3e5affa7eb6b20e32c480b2a4fb60fa8c716f3111a00f09c27a0604bfb07a96d09d7a7eae257334f1aafd8934a73565f66d3545f73384c9beb317d625b54ee467e27bacfadd55ee2b6d8d778ff3a542e484112a0ebba1e161b0d228ab369bd313bcb9cd763329ea88e2d25cac2d02
+GCD = 4d335ccc7c4ce89df160a1aae1a90eb6ffbf40a59c98a80770a1459f31f8d187983a93c7b38b30298a252fb263a4eece1da7efafdcfe155d745ee68fa90689f33ab27dde32d21e316ec8c160b2e1ee8fa30fd1a40f29008b0e3f3117a32fa152282858d5406bf27f7fcba4f11
+
+A = -2161f73c6b3e2562ce5ab7adc8a71b2f0a07e1105fa66ab420ec7850773846eca1841e352820192692c730ecd76556f7471d41917b7597bffb6ca23fb7c53c015c97755f16186b96b34261f7ab537921ba79ef8d2d3bd997e80a923a6de157fd1e6ffb7bca0b732f8441e01af789c74ea5dd088aeadf4f928dbfa31704de7d85ad89db36ee148b9431ec3b5fc8f45c127921b4f2789f0eef45af57b229749aa40cc5c175f8078dcd46c6e1def1ca832021d7108d9c30aa536b7ab269d0516e33057b9c5029d86936de2a9fa436588d724727b471abacfd6625
+B = 6072e72318b5e6eb1cc9143d3e1c918de10de4ecacd998c375f5814ffb6f25fccbf399dc5bc8ac4843a2fe67cdf33945c7d91d2642591d66ab76022330d1a61b76896f96ea8eb2f10795054f20651520425c8dc4ae94d05e558d4dc04f5f3e594564d18ac82d87eefca6be9479c1cda3c7af991c636e1c44ea7656b9a7f6b3df2c88f311a4bbddf6a89eeb75682ae3b47a071c6a6a0a1e9cb9ad7823e9d7380341fea885e2e5bc1ab460a5050e9f6b683ead053cdb45aa4852709f08b514b4065125890186abc95a84aade138b9927cd23aa966f46de957aaf
+GCD = d837634985ccbf1ceddf1126d4547e37788c82e2ab93b886f60488e41aadefe62004545f3f47f531b2aaeaf86b0b7ae0e13ec3172ce454c984862f06f2aa3dc9053cf4bf498f4360b62345502d11adfc7e78d3170f12b3376c9383fb161f4232decf3c94a1a4124968575e75f
+
+A = -d4a819713e00b31910f452601b22088eef13e86dfa38c5428a7eb21b3f538f02abe08962c3b77ae0db68b299a7ee019e8d51179d4fafc39a206164402fa2af40af9f97bf637bf8da6c848bf26e3bb1301d7b530a0cdd3fce20ce341dcf4ca55c2647da8717b5fac490f883545f23bc4664b5e61609875035d6f161ed603096bb20e5901b0c4ecb7717b00223fa85892c591d00036a8b5ce09355d9c9e18bf9c3c9129da204dac725b675a6bea38c18b6d23f3031eea3b2d85606cee92bebc35b4aee0e4e486299decb79bc9dd3cf87d62c6aef529ed80929cd
+B = -17584f7997c1b71af3fde24704c8773bf58dd4727cb57e56b4796e863d3e8b35c0be7867ef5e96c469125c88f369b8de52a8a348e4d720728fabaab31641b4285d6ae00596b729715d0be126a221dfdb5a04a1ecd2fedd69991b966d25002c043d6eed6c1bd1f8a33379017da280491c13769af88960afef42099d34dc67b27397f7176550bffc599487e7dd7d9bd92c67127b497b405db225e64cf791af8463277481d4254b2d4d10fc3f1c5bc48bfb6cc922052f7fb9ead2f2ebc42205f8db3c21f1f288cc38f6a7e3f0b78272110c9e249d189d95de6215a
+GCD = 1b45e4d1246bc77001316dd453ba4c705c35ce2edfb8af757d90460b2de0b018dc64e2dc27490bb265853b988254323955eef10e9974f1aa71644e79dcfe72d5b40585ffdfede070b85c28c116c34bcddfa73c741c76368860c6d25f5ad9061785a0a99814f0d4376536f0fca1
+
+A = -dc555677ce7ee3ee8b84a900948c00fbb6bf4b0fc5a26d770f46f68482ac9f0d473e926a132a8d951c4118983ab30cc90614b815b9a49cae6435945262dc35b33c275c45689bef8b9ae5a1ef3787531dcd19ef3592e0933c31dea31ce4f4b867ea800f78c078f48e4a00d47c2bb77702b49b008944b6a78fa0b4690d07a1ec8e7097aeec981801c99931bde147ba65fad2f8a394e44fae73fbc8856ab235d03bcd110f701f4fff24207570efdd718be64c6035559cae299a700389b39e51a447441cec3aa95db560dcfb046d2c898b29d5ea4e80e8e484fea8
+B = 515a08d7d4359a0cc547a2c49b041ef4eff12bcc3737143df1312ede20f0504c0947823ffafb59f90c8738c644554ac0e4879605dd6b0d88a4b99d45fb95ebb20f59a87e98ae98cf1b066828e292a4bb89afbc59906c5e1363b481f2463540934bf8850e22034e3aa3dfd23db16e7f179fedcdb0a28234621249d1bb0137e76ed084b793a91346e0925c3af6383701321245b882323e3367b325cdc9116512344fcdba4b8083edfa3add3d05e5ec59878e05855a010c7851f57d7875fe7fecb15a351c3f28cb0fe35b3e3993f79ffcce016773f7df078fed27c
+GCD = 3bd21dfdf5d8927466f7db1c2e9f2bda7015e00f56c1e510b992ea8850d1363630da727e7440904f86f1ef63bccd70e7faf95e924e0a6094a86449fb2dc873e680b4565cf8555e030cd7dd2789f0b5017097e6e5546658e56fe9dec9760828a8b99f0372ef942e130522d4d8e4
+
+A = -c6c6820e99046833aa9c9e551ee0d042c49a2eab6601a32cf80de817c8ef59c1394ba5264ac7cbf15aa7773780a7b43e58d78e241695f1e42979ba684bdc968cb1f008edf09f1ccf00bba855e54cafab0a15a74a916dceeaccfddb41fd5e753ae22541da9deca40ad2225c010e97c77f572ca2c0012f6f05167ffe247ee9cf3fd1f2f9122d15ed441ebe29a4287d62b128428be8467a7ff3f52fb2b439fcf791a1a3977bb032fa009455182e12922c34f6726858c8d8f0a65b6f546cbb31b7a13bff4124fbbb375ebb8e3b74b1b1e6e78fd603568a599f808a0
+B = ed206ada84926801e26028d6b3b835c4737f816222a57de81136f81cac2b59568f86fa2f878360ea3cd7fc9dd0c9d79d31f992d95d684d3c131e2b3af5e28cf187a7abac8f68a5fd72785fdb882c19dd0ad44f07490ca160449f76be6b3005c3219cb64d4180a8f94f1d21fce452cb95ecabfab6889f717879510e1a3583f48dfb0572b27792b8c76cbb6dc3d1081955d973135888eee92cb21ab112b1fd31dfaca04f26d05d890c07a1deff6f82b4defc9b62d966bfb89d06a8f0ccf64826fd9b1706d0e92694734c5eaa28961bc02ee5b71ced0afadd7f6f8
+GCD = 84aaad330b4bc927f7c01bdb05231328e39c119e19f4c67bd7b5c616a3aa2616c430d7d16e6870f0bca4f6477d3ebd1a8d1c04df26b1346a986c6954aa76620a3eb1922e3a11b0974db7c0cd2ef468614ff7e1b43b8c5c525c120766cc48ef2aa0aa563b36cb3eda8cf65e70db8
+
+A = 463f508f2028fd809a3284f6e3840f77e2c404203365f4f72064cb1629b1ebd822d5fdae867be87a1a8698524bdbfec8141c20bd349ea394c67767867f72300bbc4e9f426a640162cf09346d4e431df88ebfaa9bf55e3658ca2c9dfcca7e909416cf3d2bef719fa5103be45dd643851b17d628762f78d9364582e671987117dcf87e21e65878512566934c18b6e071ad6c046502d6e4edf6baf0d1fb5932381e8936aaa5abdb31b94cb6a57efe4173ac9bb732d9c4bef58c279601805a2094146fb233378a68f31c9c9326cff23d54aecf66abc0ae2156fbbc64
+B = 592b4d8d1053b9c7ac5c5769d6723ea97300cfffcc6c9cdb1bc07692e72fd42d4a7b32db565e240dae7b071ed3d9521a42a50dcb562d176088a6a1fae28e7f37a4c0de823b6de1cf6b26b7bbae0849f761741123a9c15403f0de96577b739db3a43cfa159b338b6059c02ba1e1a997defd29c1222ff10f778ba8d8265972e1897798a6843d0edc335286aee3ba32d0dfe9844162f586d4d5c2313109cd4a25d63fb7b7f1666b52678e57f9c91f2ab4ace91350f8f2f2936bf62d5a28e696d915b0477a3c27196139b5eecc03e8fd466a9e89fbf46f43b50c86dc
+GCD = 534939041aabc54a5619452330f81044ccb1c3d4be9d688aaad6c78c02a3807b42676efe0ec727f17451445064116e0920a5b8c0d35aa7d92db287dc4effecbff3e4699e913db26a9bd4bdc35cdd80eab1a0c22ddd161b102efcc52457de53a383ea2755302fbee607c3715566c
+
+A = 1667e3f3f43f8e259fc554a7e6461e0de04ba4b25785e8797c1769e6c3e128f3450a8e35c099f28d7d4cb02068e0c116903cb0746027b62c875601ccb089083834ace5462437832b7a2a4fe0d95f1cc3218594a1d9d6056edb75d6cafb0f3cdb5b465d1f2c7fc6e01f4a215bcbab260161f2d025a62b1208f672c02efc96c807083edc0cef1115f4021d0d83d50b3f1df39791b364a1b9b845521868488f3b54c7de44bfd378b041977b05fc67cb28fe7cad9bb98145bd2b7e783bb5c0159cb7284ce540f623ac41f2f08bfb4c061811ac8cae246070df3c2403a
+B = -1cd69670d375257c5acd55b107ad4a575dc37fd8ab7ec0eca7a248370f9f95bce23f7c21d4e39128a0022112e5e907a5aa5bfabe64c970b3493563cfc4bd0872c9de6b5e9c6fcd98542c8b13aaa39ace23d93e374ac2597eedeeeb6d97bd4007c5cfcda2f5b5ffcac7294d7db10a8ef0ab161ff272b6bfc68b97a8dc93e20c1909938a95a6fa8a41108ff6f833f5230960aaca02742fe0434b20e5a584f45804ae8be5737e4bb06727578b59c8f58bd828722257738bb89305a296236d5b6a4b575f84f1a59740b86c8d1d3f26e95944c1ac64ffb4c6f4852f954
+GCD = db0532bbfbd55fc7c4c0a5acabc77f47cbf7c369135f194fe7d84a85c95dde590ba48f2220f0037f0f63bcbf80def284eebf827a0d0c6fe6720aba60363cd4344c01ac10da268303d3d15bf1fc4a1d7de6fe2efec92e4342d56e9a352f559555137536aa76579f191d237c3739e
+
+A = c823ea63b1316fdb4dcfee6f7f3f1d7cbfb0e31aadf2e18aee5470a359dc22c7eb1666013ef2182382940dfb27d8e938b5b03fd53f505a9da086d598c3eccd40804d07d507dfa0a2764ae09caf9ea83d19cebbc2c824b0b3744a74dae66f66fe0d7f779554b58932dc4794172cdaeb150963e69bd56d97a728decaab959670f2e15baeab311c2377521d6264ff184df634a88fc329a0d24e01b90f01bc01f6111bc2817965fc08460fdf015ef97ebba5bbe351f95cc55a912687d7fc007ea97e6b622149a7eb09b36d497d6f59a40d46de0288ff36decd21a0aa
+B = 12607da13ad0d303a0b17006dde959cb654e43ab680b47fe0f1131f840e8be73d93d4f236c8149e659859ade29aaffdc9456579cda03692bebf454bdb146ec6f3ff0496465b878133032cb47e3419e757e3e352460f75dfc80fc618b28656c74d9458bb0a44fc0aca3d0e2589d952474f04547489079b9617ba73e64c5b102c5604e5b94371d2974f1cf4a1d0652f0ffe1af7e17fa87977ba0e9e25922de585454d4685faf39ae101ac35ee3d44a7aff049986fec974d0a725c1f9353f7854e5697dcee2a94d80aa5b46bf313322d7553cb62663ebda8179ac27e
+GCD = 4fd8493cab54b22c1d930cb1acf3f3c0e87a0908773450ae9858e292472aee041342bd0c6a0bba299333d61250377070fff01342a642b490f7aed97b2546af1f96aad1ddf50319f017be093fe0aca1a3b5091fcb7b2054d6db8e0bc30b4e48896cf9241113132a9ea859facddf2
+
+A = 1d12b6ad0c5d84e75d61d93bffa8ba0b1bbcdc1cc627bf489f5aadaa0fdf3c4d43578c1cca07d983a0ba672faf024ceecd482d50aa7d75bcc5eb97da85a4f126f47b19b717562a055bf0bfd295b180197f3188c8cb2c573d4ed67273bebf53448ad47d6c0fd073d3de2cd578499a18f28d272f2b2b9feabcc2f4e201097a56a84c7602c5cab47d6e3ee452fabae6d9bffb5716c45792a1445409342510088bc191578eced9b5383c5c5b4d0e0cfe69afa16ab7ff678f9c2609f551e52377b3e9f8372e70d61b8cd11decbfd61238b71fe49a9552fd26fbcbfcf3ee
+B = -af675140c602c88ce053d415772dd43b51e6b318ebb19f21baa9ebbe6d03c0714aa5a201eb5fe78e16a97cdfe5ce6652eb2b6568af93fe74343556de3b038f63b80d964f5c76346c0c63333ebe61daadb1322aa1e492a152f6c6b04f26574760feed38d583b782f6953d4aea509a940ad1ee4c32b7351f148ac0cac6f8482d66a252c6d9b53091709bfc4b35fd8b732cb6784dbb15a3a6c7f72561e857d1671c6c2ac7c5e147552e233fc78ad6a792708caab8566588066180d085f00e496cf9cc3f96af4b142fc82866d6b4969a0af1c22923b0a56ec2e7c5d78
+GCD = 7d08d7bd306dffe298ab4eca4b2d20b6c72fa7da6f0e5998458ba4b818477ca2cb123436f0b4b308e41bbc46c1587babaeda68c6c7d46785aa3be1e5ff0087650503762fafb3eba9c6c6ee5f8c914e708aa3dcce3965772c48624dd0fabb84e9f4a270a9da52849114e27fff5ca
+
+A = -475f8b7d575dfc23fcccd16d280b2bf60649ca32313a8f668d4c66edf1533b243e5d6b850760c26533c2926d857290010e32edb7f6e6c035cf92e1c6aa41495874e607f07a71510bd193060bae6422d3b7468b66c9e20f56e60645f861fa22ce5582616dddcc63b214dc2f187a1800225e25cea2c1acf5cfb32af9a9af20bef986647b1abf8dc9c25f04ac021afe6535a2df819e1dcf80a857dabaa8125c3d82a9bb5f7810eaa2abd36b71543d1c9deed4895b1673bead6cbfab8c66ec2516c6611e857e21bfb61ae169ba5eb9bee8e8448a4cc7ff46cbd805c69c
+B = -56a142f58fc7dfda307fb8a196077ada3f0f172f340316ed46f944ba0013651af391aabc6d5921a0ca1a7774587604fe73416afc55ce3999abba553bcf0fc8d75a86b823181fa4ee2f754e6584e9b6cf205e3c27560b975e143a28220069c252dd650bb4c0751f6dd974dbc0eb38d34b1168b453c567d308906a499a819aa2254eef27d028d75bc6f7448356f5caf53247128072ffbacf8fd70546fe8c826971a6bee9e981ef2445ba9df3bb0457f10cb707d4e8dd0f56484bffb95f96dac800cfbb17de90d506c794091f95605cc70186ffb30cf4e9747d2e5707
+GCD = 286466a1f51349bbc00b06419fb9ab3523851e85e7f407531e38ea449af177fe22168693d6f613bd1fb329e1da0a23c935e00c1268c3bb6f0e1ecafb97904d3b9bcdf3aed12c641ac79db15556f6ca332eb038b4622af928d9684dedcea3d61c84d61548bcb99c32a44c47a1714d
+
+A = b3fdbe4ddb27312608d5302a1d3531e2796eed3dac6943e0c06f3f311d73d172d4c19d49683905c52fedc89e64e5e203b84d3e56c885014f60edfd3433a169a120a3ad708cfba715e4d1d19fd25038c34445bb786ccf33f854ce68255fed4ddefe1ecb27f0f2ee847f364d02094c01bf06c181afb1d6db7063b7fd85f4571c96f77a6e451bf16f4384c4605ff56478f12000a9584c45ebbb33f53b36448180b85c9024447454d3b065a100a9ad9343250b9268475e31d6a3022f354e94fbd999b77789ca1e8a80ab5c54dc7a996727dbb8080de2929619778d7322
+B = -d8042a2bb9c1733babd69fe1e824ee11a90745bca0cc3c10ec78be54adc745ef407638b9cf73a17cafdc4444c9c4c4724aebd098ff16a0b7d14c4574fdc4fa5540542da714e3e7ac935a7641047a2d490d93932238d56de5579b9731dac66ed345fdf4f2cf99c6332facc398881828f6f17f32449e310d7b90cfd578d84abfa283a359adf6418facb021dcc890408b7fd950273aaa3ccf40e628bb0b7bfceae7201d71248834a342c8d18e6ff0179927502ec5c20c1d11401a67628c38814bf0b10a64ebf6f52ff759e8bd540a86a7c7404323d02d81a6a9e1b6e4
+GCD = 2a795748b8d5073c2c0bfaf0e4f6e4b055a27d2d78844c29f01b45634de5026ddac533688cf14c55f42e02e7cf5881e7280b674807d00d36d6f60dac645420eaf0dd5108d2fc2788f2ba377bf43de6278e168f984fe6fd8cb3bf3d8a6ad5f110cea9d81037d8dc1cc746da99d80e
+
+A = 3b13d797e3cf586899374c291f174c5dbb0dbe5b64bc3a87e6bf9c5ba1eb988cb66bee3884a7b422182513d2a8da2b955892ab2c887c2be895891cf6ad92fb624668b286d1aab0f4afb32204b2caa8ad8af190e21124febb9d329adce66deeff4b22b4ca19a95f9a7c3e8ae467a94497185cb360add04b2a662eb10e9fbfd78e5c7ef312957daaed4b6dfc52ee707415e94b69702361663bfc2c86d9550ba7268fcfaa29179cd79f016dfb7041b66cb276d6b716d1435fd91683059c7a9002acaaeb775477eced0a9f064c689064bfb5d2dcbcadb14f16015d400a0
+B = -19b867ffdfa2e567fd50166fe20f88a8e1af5ae410f264efc4257198ab5aa26cba841455eee9dfca4aaba04bdb0756a22726885210a78d3fe2859f7070b6a54e65c1f8f9303202e3ff55235c1ad303cb13d4c20f2cef25e14e65961ae1fcf9dcf57ea09bb21325cbb822c6b328011b85e40cb38f232240af1215cfcf1192d5b68c92d9a82db5c3944103767745771b554fcfdac15f57f24e4047db6664b843cdfe0937790c793ad67808f536117220b3913aea29540d081f948355d4cd76b07cb3227779b4683630360146eca5567373147b1b1c4b9bf3b76714084
+GCD = 37405b95c1ec60b7ba5342750360c0dd03d319e345a2b023a6a4d8b462e1072d0ce9f02d977353f252680a528c371f4a11e79a0b4f17690b1ea374a58b2a7add75e97d15656a9fb3ff40a08b2f82e6973317a95f1a1412fc64942245a6ed583b16777316da5788639d0ce92ef38c
+
+A = -1f0127bd1ffe25fe21b934eeeaf1d9d7c525e3c08179aacf7be1f550cadbfa60cce6dc5f3d89b8e0cec74999f27ca3c76164d78cfff5a68af2f96542aa3ac88da7f64e15328a3f93b4736f9015e1306ae232f0e41e6f4c9cfe4ab24996159627f2ece676c20e09a2a582e38b6adb8527d165038d0ea06146883ca277a6fd0f34e580935a3b81fc066583c15951d0ae6cbc42615d87eed7fb79462240ad8cad84fc20bc9f1ca72775da98f5bfc7e04c805fff89a05f408b761b6ca7fb35567e8e8aa6a9172be24776f5a2482ca44079762f1aa7cb3e665dd6d667938c
+B = 125aa9aef5c5d9af33f15e1310c419b8b9befd0700db34ff03a26e8031f5d2e4cf425308e09b085597aaeb51ef407a79a5a5cb3f53ca74845bc6da0b4415b05e0d272b41edfb18b50c041d31eda9e25604fa061dd1a70c41848e575659d2922210ebf753c1c70fa69fd7605fba7080f59a80b2ae752f684ab2b99f41e9b76a6d03d0282fa03a37decd8b08d4b98f0ffb01b25151c04bfce6919c9395cb657bd58f7c9f43100cdbd27eb44e70018fc71a2fb6683fdd06947bb7a731aa7e565d9c61a70d2fb8e08c471cffa81f5909f1e0e18a29720f6261cac93caf70
+GCD = ffe4cfc33929720c10a50d79e86a763ace7f2693872510081fc480b6d810c19c25017f5164b0b692bb8b1dd6b2c2ac24d0229737f444665a8c72519949cfa61fb965a30d4af3c62a032b528afb66f66ae81da3f181bb57afc5553817f1376f4c58d134762512625d7145a97aa384
+
+A = -42874c28267812ef9b2762557d7db31414c72c7f72ad0a427a4533b04df6407344b4dde15be9e54815855ebea31b10d970325eb323513c5512eabdf43b100e8394dd87da52b4bc2b22e66acac7d9c33cff25b096243993b960cc5ae8e123e62d1190b331d3abf85fe3ac1597e1050b6366b32f6a76a2ced1e7ee45860abb20259f70ef2a6a7b8cb2e1249a162dec0e7aeca52d95dfb8e9db23f95e09987edf2a9f7e3273a47c629b759e66c9793eefe4e7ab6ff45242be1d7619e6d76e9f0a23dc2b1c83aae4dc34a16b0c3c443a8d72e01f24a84738c92d598dde40
+B = -3676dde59351749bec5f3e33bd076d22cfd659a25ed739ad45ed0d2c078a5b34ab97189ed2867c271e53833267764b449ee527b61ee12bb03cfc3d4851e93a75c65c759cdc6a5c88b488a93681cf0193c2709a2458ae892bde55148b5d39acf4e1fc1950eafd5aca224390c2a9ac28e00e6f5bd29becad476bec35ca9154553ad050e46258559307edb3a7e13bba11ebdff10312c50bc42c0cf4b6539f6987c6c107ce93ced42777359a6628485af740ff8b983b317ee07a7a5b0ace63f0beb8443cdf7a33f730b6f1d2db33762b1d1479baf1ec0a69dfc405362370
+GCD = 747e05b87df1279d3c852d3ca73d820261e95a157aa16445422148c43cfe9c7d1c746ac93968946269ccc90439aa468673acd7a804b0a6ca97a87aa77feb8fcfd0c3593edd4f9bad9d2c7fc41d67cb49ee28da0329efa3164b1c875ee2acdd9e93a900d0673a2b18046dff249bb50
+
+A = adcd61d26bd6dcfdd92d88182506cc9d73367543964e01c1cf455a9c09dd395eeed64c77548e9f367fdd9251a22c9acd25239b22f58e43e978c19e7ed30041bfac12b49e6eb45bb1a1e8024753e5f20992ec0d6043e4e9dd0baadd83743dd111e71c10b899f5ba56db8a832819c1c3f7be2dcf29c6c1d4d2ec5c953f999dfc8e51f224953dfc1309da281e73a4ad1b80f6476e28e8bf10e2b6488fefa050829e15115082dc003493fd741a4ae69e31376fe0b038dcc4f7427096a3c510765a4ab37eec7ba339dcd584e888eb7b6199bfab0ecc7b22a6c418598e6f41
+B = 923bb71361faf6f0a75d3c8c3673c0f77927264bbbc9733857fbdbbb4390d7890f7add79d09ec6363aa91e6d8ae9c3f9f78606f71f819f6bec174f94920d528fc3c912c1e77c366c4fe09bf36252a4b90fa14066e545df777e07783cf89a67c7561691a1c0d33e25ba92d4d5f8cf08c037b64751e4bffa046f055675aa96d048ac7a096ff40bc2d71595faa7f91eaaa04d1cb505069508939146ff039b1223392d2b6f78947c447e38c3003448748a8d8803a9ac0f4aead43e031a452f7f6664dfd29f0c8fbf8ce93ea089aa4d37ba49aeabb1a41f9d4d2043401848
+GCD = 12ff2ac3a4268a64e19c0d1e4462eda1b5fabdfad82c87d435f16e53a302b278e1fdc5fa22c729655f17ce07e8880126ce0f3daeced1bc3f84856357103addba1165553173a1eb31de8dd5821869a2d749455b97103d2172ebeb91b6b08b1efef3717c5ba7123613aca5549ed134f
+
+A = -20e61dfe5fcf44f0faeee89c63cae74f883b12515ae5cc99f9c0a0f116fc6a2bf69d6576fd8be225aa2c8e824d54297c974ebcecba8274aad93856b3b58f0de574ff69154890f489a8039ac8bd641312f0c908f502c3df474153a760821b4c2fd097fb568e757b9c82c1c465b13e2e28d0fc166f2d0989b742e812fa435b67071ff2f439e236da56a5aedf8588343031bb6ecc6e3f88f9f87e594e75e485e8ae821a5bd91e3d67cad37f77d0c89db07c0cafcb960080236f0fd63fd8eaff1be78a234ba388102e87cd7ebacf0c94facfc9c6f16fb0e490e5c24d91a50
+B = -3c61a0d2f705af55c29dbc3e3f99fa942eb8d13f39fbb001dbdca1e89a0c61bcf44f60402eccf80265a7c8a3e3cc1755da2a0f7dc94b5227b65db11aa29c6350af02259bc49613269f003c51ddfbd6d0358cf7ea871de278cc8e97c8206152b611c7f70d9150769ba6f861215264451bbfb60a144efb6a6dcc91673fdc5662e81a60a4aa8b235699c8e2c5f27814b05ed6114c7caaf268080bc469721de11e15d6571c2b44d1fea8cd275fb62f98fd817bb934f557818adbb80d5086492a80c1dece0021b97d333687c32314d76fface79930ac7b2feac86849dee194
+GCD = 45be1539c46a2834a1fbade1881a16b8fb2fa0570c363599f61b138c83d6110e0d6216d30cb8caa97ab7206d42209022a1401a7bcd18f48b6a53c4bc6eb00d863d7bc040193c629ab3e74910d624706a8b3291563e35a3c0750774ef91188cc5716476beffe3ed4263243eadfee84
+
+A = 4878c5e57ca36ca033c4938f320fbeaf7e8fdafda0f146299b8b155322a15d98986b900405516e0a6e44ccf0e730168ee01f0330e031e0fc9186cbe5d0012719679af5a2612ce86b9a3d2db40783abc3ca018b6eb1f2a03424cfba61e5e730bb6ab5c422bf125e9e65246cf4eb1fb100ee5a9ba575a01c1959157a04e6e965c15d7819a17e9647410e4f070fe9547afd1885b8572ab85ea257fd88c7f537383d48e685f57c775a234f64fe48387c542bc6617f426a8a5be365728e079c3c57d48e297c125fc4daf152c245ca3be58474453653d50f1d1e9cfbd3e5712
+B = -86745b64176f79b15a173eedd09793897d760ae2aabcd5b399f4954f339c62a1fa34a35abea1b94757a4513d234dc729b45f7d4090d52c7123cf0a0b12f9c3bc203808f33cfd145755ef22f630ade100cad5e13fdae21346307c3f7156f7ad10e7c636fc9b12443f0fd0fa131b62fd27e859dce88430f9a86b7d3a7fb0ffa31b029eca32bf53048333abf34af9e738d3259cf0902bb1b03d20e7eca505168a67c0152d2c56f084575b4c3daecd7f0458458212ba6a861a0354d51a01e57729c433c8cb52f6dfe630b5c53691254cd07217409aafabfae5c1f4f93ba15
+GCD = 4c1aca8c47fc565105cd9f58abbe21b8ac3137cdb7b5801bb7b127a42a1631f5bd6ef2088260113a9d6063edb662b1f71f81ce5e4da902293472598d530470d446082ff37caef7a9798406dd077844c92214dc99a3990efdadafbbb260b3cf35dc17650ee01a1feffd33f545b3009
+
+A = -565deb72b4c7d0773c74c4f78d6010a6981a35422d8999dc8c13c14ba116ab8242b59427c43a9de6830f35db724f7d7511387065195758ca0ce080cf05f4515c1fabc54943aa61c0525de7c46d2141a75873608e5c359b7ee389275d01ec64d95a5d17a06b7ae1b8f573ea18ecf7315c2acd0148a10043f077980ccc6831e97e1fab4f29b585beb0808190122ab03cd9ac23885e703cb22d623e8eeffe54d257b82a2065ffb17d5ba68b7e43e3122793436e2ecb0f9bf1b2ab00dea83c37fd7b429509bb4bf4ed0bc8d56f8c88b31b9af2ec272ae74030008c14e38a7
+B = -42fbb0de01be3883dbc4417379df7f0cb45f72084cd6d5126202ad0a6fb2fd71c7963daac0b1868ac3ddec4c320a7f42b0d50d5305e7af6971ce894a9ce09054e4dc7c716eb25776fe7afc547b7b5796d240eef70579ae7e46118cda2f07065a455bcd2c0a92139b5ae8a6445473af0dee6c12f57512a3544f7e5c6ce2588d41e0a90bb656308623737bf0fb39dff23af1b3349b2ad6739f6eba0056ce72ac1c88c8826be49ba233935228564841e3bd569a2a891528fe768142af9169853efd150a0a361febe19025fb888dfa733d710c6a11b20b14b033617d3c5325
+GCD = 8be3b4c3b4675483919118bc17457798be184d821e9d81a47356ccbe2f8fd25d3fd35e281ce90d3c11250b20e4342b0a29442b3047e18db2bb249b0af688c1e31cf70c2d59663f34cd04a5d9bf9dc65dec984c8d68bb967bcbf0817bc977f07f5705ea0b6f13f0d8bf166a8f5ca9d
+
+A = -eef30db01b72f8a0028b8b384527b106e08de5bb096bb085518c87f07d426f5a62420e1e37787f44a73febbcb6f1f64b6d4c517d1afcc1a2835eaf09978131682b62ee4e9dd1ac259317b1e78e3cb3a189a9cafb04253d2f7244a7f60a7a7281057f0099171f24894471bf7a94fbc5b3cbe8518185eb243ce86e17038fe75f31f07b5a108c54dde8069c9a6e2e9e17c32a4f0cf4d2d28eb391a23a8cc8cee6219d95e849dead37db7a9c1ec708f531d754b3ff008000ddebcf18dd40ca6f29b53fea9b4fbd928989ac76fffcb43afea9e0e29ffb1033d135741b570a78
+B = -17cfcb65a271185b6f1017a1c5d2c81ea23d765e2d60eb0ee2d18d5b2e281c992e5cbb452760cc02847ac702f9a2f65375a5ef5887e0c14c795a5b8c1b8d57f90f91123e5f396f72dbf13b91a71607c679d21285fe11b205d8e5bb209304aa3df14824d855a75f4d499b6f359262a03d906c9a6140a8652b8942c17cc756813974b49fb299b288471025089d86b9574fdda0b08a12eb23b43859723c04229c090b53655711a8f93bcd8dde9a43b080cdffc494802b1774beb76fa89d766936981eb080d6bd207f55cf7557870a92ec7357aff88f6b8c2ccc472e030e30c
+GCD = 1e82e176994803a418616e837dab8a2ae2bb68983b090b15af6886eee1f2a877f362ee20fb385193867caac5be26996f53c91f4a31ef9edcd166ed78aef21fefa95b1a4eb63ccafa60f943fcb162b31a61ea6bd5c1aa04127255b36ffc9e3651f458d46c214764e4e801ddf4bc13bc
+
+A = -c3922aed31518df5d5b66383478410188bd0c546ee91b8d08d052e8db0b93035bfe322b3564e4a529d7b5b3847b64fc07fcdf13493c948420e0a654e844a2cbe753fba0337655c1a8c4aa58bd914592653b5097d06377c2da399ae0dd8b11636b75e7f5cf902d417d68c4128c3fc124dc401a57ac851e7b5b230a0d7c66055713ebc5913889d929e48c429145fa50ed05937248a8e1404238e4518a2866ed62abaed2d847f90f99d92b930d68fef615e544671995e3cf8db73a170bc0e3dee2f98587f74e26de8dc20ed5c14ba0a7ec7142be000fe9f9daf6088a12938
+B = d333766e227d220325efa3a638364dbf744f3a038f28e9baa4ebe3d61a141f17a58c558fdaf56032e86046d28706b30fe7cc72bf8877fe89b013683adefca877ab44dd2ea9251105a39e28973a7d9df470c88c993ff7fb58ad2bb14a62c88a5d350c8b1347d407d8385f25e755576008340575112dc21c8ca340be6b7a9988513cc49008ffeabd0724d5c38736da898d8e0efae1e059f9a1e7b1a9f761c01a148ca4ed49c4e60e7286b6ed0ef793fe90a30233943ff0eddf51f2c2f31235dae2a23e67ed66408de4b87df20ee7e31930f3da011b7faf919a88612129f0
+GCD = 6486d245617f8c040e48647247d9567d1810b04b08a9a0b9c6eadc46d987e9856b52680fa01314aa29bfe60a3e9bf93136e6ecb495b4a1a63bf1bf4f0ccfef86e1a42256d22ceb0e136314ac0e1e23567f8ef087a4cc554ac251d8effbe040d1849adeb223cbd030a548fcb5f6e728
+
+A = 11fee09859e58a5d3ffffa5edced83d5f9bbda1dfe8f7079650a1018d032a322bfabb3dc78a35feaa0c1abc705355eedf551ddc77c20ee9ac79f52b8644a7b9b1dcdc5a1b7c2ac1c06fd2c46d5fe5d06c9672534776d880bf759a04a2310cfbcd98767bd97312bafc1569c515f2fbe996b5e1dbdde393c1ee9f49c68fab84a33285f49daa3ca4e999f6b4c99b8f58e1fe9869e1d5f4f218b64afb75f531f54243a812b4c83b87b877e7d6b0934f40aae3c352f6a5cad98a1d2b400b5b1a226fc7249f8897f1910a949be5b38977c49087fdb360056dad0d827e6fb61980f
+B = -fc38ce95afc61765cf2703b190eba47db1d31c539c2f75f09534297643d789c3e3bb33a51e42d700fb4f8bc93a4408638b5189f8d88bc3b17f6e97416b908c3917b04ea24cc25e354a1ccfd61342315c8126589bdb4c333a43a3992dae58ed5e374f30bd978afcbbcf03be131006d0c990a5d1d61db7d35b4e6024de876e2a9ff697dcb7f0f42f32db151fedc046465141b5f87a5f8716b50124cb8ef7a2ae925614a49b7e2e1e2ac9861c8d5ff9da4b2c4284e09829d8a51e5025d5b13166e599909ab0da8c612d37cccc3ace25867e0cea21d8b045ffc7ff1acab320
+GCD = 1a4f2ca964176a0557c7ba52ed55a7fc7a15e75235f2512431428df5fcdc7dd8b82d7a6efcfe55144362ffd204cf9e0d411f2fdc726ddeb4ab95c5f291c02fe2584fbfaa16d7a39d9fbe210780209430e92a6fb19b18e0031b52f11b2a96beff8d3454c81bd88c636f37a425a33d719
+
+A = 465ce20a359d2f8b512f9c3db247f5e7f3898e6d01f34c12cf1f59f84c6cfe131e32a6d2ed8ee392a40d756f452b53b830e231577876c7d37c4de6bc6b392d9ad1f8bea907e8ded4703a1d81639cdff8e649d70e44b7a39068ce2bffda0f445e621a9945fc3205a71ebf701a8edc4b9fbf7d8b6d0fa380c26f9d84845aea7b91e6ddde7b2cdde693ba73db1ea92e80abdb538906adc1b979660eaaad42a2dca6e9fbfa9be8730bada7c595bc5df008e3081274377067e5a4d770c4d2830da8a866e3a916f82d18ad9a1aca825b1dbfa070d8be372e23f57bcced94b782d0
+B = 2eea0aca5b5725a6b023bcaed986272637e1e04ea0466e46a1aee8f7760c65598d51c385342460c21f4e07c5c612d8852a25943c28b0b42f262a1d0095055b518da4f7320f5f7c1297a06109f7c1ac713004bef9ca9753530b2e933a7b0ea62c54b5a92fc1e867ff7a56daf7ce966c63369adbb0c49c41a8895f9c0855a72beab389a8415a93f71cf002cf48f29c39af2c9b0315aa71977242bf2eadf518697320ae86c043ef6654a12c58426552333c59842f66a9001ce237210a6683266b20c8bfdfa128adaf7a6a6d0f7c3516f9377c882d677895beca7be0a5d07b34
+GCD = d7a7aefe0f0e9eb9db3f52f0c5e3f8dc15d1439880b835b96e5c2822ea1e98ab967eb10db066aa1ebe6df30120ac2f4d5d9c7bf7979bf0ffea365fa35a6fb7c741122bda2e4bf9797a2bb5ca7ce788a0ee065d61ea76f573561ceb85e6f0d13f15aaf0e3e2068941aa44b8d1b96f4c
+
+A = 3f12d7f8d2ff8db9df0a180298ad1b206f41127b07076c94d9b69c5e69ef2080576f111a6f9b958a0eb2ddacbd9e0e2269fbecc1e5f40d8504c93fc53772a1847aaff3e3b263c0a393e4b8fb34d19d9c32c7be3b782535bb3c0a5056f794e489303fc02e7d2e81922faf105ed5a601512850ea9fea4a40ae93d046391b86883ad2a1d2cbaa6a43b14d3daf7fdf0d1327a2a0c7da31e8804054826564d7e87147be9419467abb9660b5afdc474574aa62fe27a7fe30e73b75aa4fd5c80dc6b58e40fbb9cd6d0f9fd580f9f55ccf03ba3db87b8e06cc040c4879fcb69bf0ba
+B = 1ace81e971800948189f0a863c272ac40ec217849fafda84accd637a54f34a5b82c02ee09c84dfa776e2c68f0eb1c7c321d8f88f47d18e5ac33fe70ab380bc3e97bc879446bbbc718123950c449b3e7b94f80c2f0b99a3dcfe90eb222ae5610a4917df4736f13e3b684bc2970f9eeca5a2006a32b48e25d9fe7dc29640490f9e4bb25fdc54e02aad4f06711d48579ce002b031cee0834cb0ba6d11ab22ad99b2cf0d92783320ef0aa38999f1900ccac0e7b79cd0fc111a52ae842358d825aee7eb3d8f585a063106a449990da6e561d8451bfd2983f910e4db1a98fcb82a4
+GCD = 39452d1f3937c1890703410cec285ccfbd8b17e35829065fe47f66dcffcf6d4b0cd3a9927d74308401fadacf12671d774aa328d9f9ce93578db1118f6bee542043a5d94928fbdf09f23d9d82ecb830072c0acb31ea87025908ede38b3ac828eec2c67cb6d258d224b6cf5e2fd1ac4de
+
+A = 1afbed0d54a6ea25741d2351639659091978b1bf8e8d5082e9c0a360c665f2690f8fab55546fdafd580d9181646692a72b31f4276ff229623ab674793af440e31399c60680fb2b204cfa71fede9a945fd8dc1be228fe727b237f0f48804274f5fc8e90011fbeb35929227d2f193d79d02b19ac791ec1bb94f27a07dce536b44a15d30dee0684c31c22e9d21e97dc3a2ad75c7878896eb7bb1d405f9402bffa2e8041e5989e82d08bca159bbdb5cc0395cf7b1c6f2ea185787bcb94a0f8f2a64e2345d4850af22163edb57f76cdcadd60c9a209993c0f27a2cbfde0247e5ab
+B = 2fe34c0c99a6826dc332867dfc77dc99b8dbe52e9683b86b26244291ebef67f9a3b9bd46b673b1005142845a38d4496c6d069ed27653c414ba5e3023a8970e050b4e54a54a2ae90e04cb35599872606dd5da7f7f80165fb2bdc539984114ab8e77b8316fdcd8ab3d22447b26712cd58a71026664a35a61529075b0aa56e201607ae8c59a3c1da6b5a68144fa50e031b2c709ef350541f1b4487cd53746181b4d99b71f42f80f3c2ba363f6a4666a0fde51f9153efdcb2837459ed75353ec9da649385dd034bd273f193a1c3d323e840f1188b21cde141c66bc4c77cf3768b
+GCD = 248ee1f194cb938360dc5e0ab026069d44a799a7e2105f9fc1a89b96169ed3cf188d80311a8fd0d2f074b1fb6970be469bed4a1e819bcb9407253300d77691b8877b95cf442ae76e8d8b47148a6f9a233a7b67e7eb8ec5dc1bccec66ab52a9b946b1bc41acc8d95adc84486c5291911
+
+A = -1be0d6f6e188444f0ece9942788a4f99bd3af074fa80b9f428d10a4ac68bd1d0cf322fcac4b7e718d1b936604f5423e621ca1b0f45e28565507f07cb39fb334b28a05006f5f5aa29dabda17f16d5037d17cdbf170ebe151db47e14d90025514a17a0ca18acbb78a18ea4d83bc1c13cc1877e410156e1398188f842c55972c6b0d939c566c3f17d1abb25b15640153220c072968fcf56cb3c1f6f39f179bbaeb38b96f0fd5693eeb2247af34cdeacbfd56d0ce09d3f53a79bfea10085237dbca35b1172a76e1fdf91637939ebfbdc2eefd43105f5d53bf7d33269f92b96617a
+B = -9172f4550e4b5ea55063ee562477fa88e74461a5ff42ebfee0c624bff8efe839d0d69da897b7cf4bc6f5676ca9c87f7e39012fd8da3b41b422a0227d1919618c2dd5e2cc098e1c0434d39166966b0c2dd09ac310fc45df6b611f87aa181461abe77d7c3fe471a8fd57d4a7a7793427185052bca466454afc8f4726543e3b38efe4d9fee8a9cde8a6335d956f2680a4ba0974fb0378f6491a92eb77afece22b799227709e6e21b4d3560af9fda8de9a7ae0425a9909652827ef6971152bf7478f792af023e392c50bb6c8b7b24cea6344e6e4d0afffd7dfe43ad2ef4c338ee
+GCD = 156a9ae1f0ee924868ef4376afcc86c8d55c73bbee924bac55922ee3a01e6cec17359e6eac36dcfb37445878612938fdd6c4fedd671d9a3e574879cf90940d44a93eea5d922a090ff55273f0973218195690d2ce88298ebd81e9780b33f1778bbdef68d8410d6f1a385be9db6113616e
+
+A = -56f539d41403be769050f817ace840895ac570babf8c3033b667d2db42a52005ce726fcb55575556775e627edfdcbf1bdeee323ad1fb675690b011c97eca7d88918e0f71fcb596d266d994ee0753a8d7c7c89da69e0a5041bea64c79c3c93bc4011c444e17cd2ac5add4d3fd10b0bdf2acaf6b70639442665cd330d20192ce0e4b0fe7bd37cfbcd6d1e8f4366f221d684ccf4e1fd89856fc96a22b079b5d1611d6f0922d2428005863f47ab6c485d71ded4ea373b3735b19d82c0568877a095f0223015ed5a41cb1a060eed36c06bfee6ded92f14eb96329d15c136d30e939
+B = -4415503e5f846ba1f0f03a90ff1c05dd80c4d085437228364e0b4a33062f95368112ae27133c10d5d7d4682d4cf2dd9024ebde4804854ff547c69912eff87c25738a0d7c8d5ef1912643a36e61cfe8a1f40c300dfc63172387400519719b920bdc55c9b7da3e1c1e858641a7d5c5e2a28b005934600a2bcb859f553974cd1e0705dd10ac144afff0121d3ee246bb0f9bc6f330920cdbce9753082b10eedfc849414aa5dd933af9055b80a33313273e4f5f3f91caf9ecaba012c10972a6788c0e0444078ac041440493a79ee548d137aa11d3d0a98145f578928216400e1a89
+GCD = 45aea79a5239e0836adaf6641a2775b4bf306d38ffb9cd07396369d7ce988c4fdfbac92b1d96ad1308be1fff9ee341a430478f47c35194abac2a702d40600549707c8b8bc377187627b55239741db2f18609922c3a5710cffeeda24e103f367de5bbda61d38eb12b1cf04f90034e3f55
+
+A = f20c4fa93c955d6933dd0cee2acc5b7240c4483e6b7aa87b07af0d6a675e17fb93c3edb8e0b361e6c93a1f791f67b7e6d93da495f61cc4b2a5d0e8c02c5030ead30d96ae6f204313c53fe1b0cb51c95973c921bfd9dd7e01d72ecd4a8fdb68e64988e9145ef498f6848642191840480b899202d05de083ec9e2ec62072231faeda69480e0106eeff2d35385a312d2fe8708e5c61f0603bd5735a6d2b87935b6b8dd818d0d167b76043ef6e185f3d20828e9a2c4cbb601e0ebcbd784f6ae60f752f0e2c4f348d5479ab8c07c67ed908777729f861a3a4e62ed1071dc122af03
+B = ea2ee01685b57de18cdd73f91bf904741192a96abd66a3d1a6c187ef8902318370e32fa5aa56f5cd76fd536d381bfb9009a7bdc062c491bd4763f759d6e773efac7eb9a2ce2396ab45b88ab6ec0d6114593c5a2c422ba440eaee760b51ff25700e882668f36eb1946ab369e06321b3a0fb805c2b49d548afa4aa63b3b88b1dd2196a25533b7661eeda2d9f51bac4c0e23e4bfd09d340e6ec0f4e706459d22044421f0a5e802d6e5abf2dd73c60c083280815e2aa68dbbf5b2cab139f89d3fb1a96bed1db64bec1dfe32549b975d0a5271960cafe9e10e24c2d16a7871d0b3f
+GCD = dab08f84f8847817acd2164bb91cfc1f8bafe8223e4fd8bdd1b8a5ab42d652e768385ec71eed5e08af81d73076ad436d9d4521bc6eb87afe61374db9f23647f20f101c2c565359c97f94006f3f5b3db4d5cd4d6cc7984a47c3fc5eeb6e19868d0f6808aabfdf2bcef7de057cc6910a49
+
+A = -2942a1927a93d2a128bbf767e48362cc697d248d441336d20047ac900e50e7a0d468e0aeaf3b57528fdc9ac6b1b3958cd55ecefddc050f1a795bf0b6a391015f33b8579879cdce4cf7473ce1f1ad5db6dc9246c1b76d6df9e9d70d8fa4d41c57c287ca03398aaaa971dd245e0489adc3cf9701e3ac6770136cc95a874c501c257159f944cdad2cc8c96823db6cfa3d52fdf7bec49de3c6ee249c5bdaa2b5bb155f5adf57339f2102e2e15ba77479b8ca59c525f3c214ff1c7ca3e2c6091074b657286974261c7e4d8d4aac743d328075e6ee221606c07ffc0ddf79aece931b4
+B = -471ced19b06c7aa0fa0fa99c9c5e159f72e511c617ec2d4075168e4562ee742cc643aa6e45b5e1a00ca711654a3ca8f2ab16bab6da0e9e013c9f980c595dc14f250cdb4398290a03e520ed14b06ffc2d764c5650aed43e29624577a6d5958a794cc6466c826b199455289cf24c08ce39d1b41c342584748686e9e07ea65ddf02f7da5c04d0489edd8accb2307f783566ec1139b8b7f7e716afff7fb40da344e9e49ba969109b07483dfb7b3cb6dbf1441ef5a9d5e77cc4c68d0956399c9479eb7fcaca5e49b61a5733c1c9cc031d0877e4737def7ecf5770c9492797547180e
+GCD = 49bf3d936420e0a631c19cc07c32f897dc9eba63db1f4b6b394619b3d79a7b06aa27628369c426a60dc868f52db7c9c1f380bba102910c89c7aee61efa4520b6dd199994e245d3c8a9754f661b0395e98e1b9555a10bff432b9ba7c24b11c36f510f74ac063487b86dacb369483b860e
+
+A = -eeea554e09138296d800d60dc2bf5a7c2c80671aa931f70e3947771d1c9db9008be9746a3843475d47e96bd10829fa77a1018421323b9dfbbe9f7fc0a5570800f29d30fbe27ca4be1d0801e6b0a9456216be6f0ae0eaae947bdbaaa6be2a611c6a653b2330b82d0b45ddcacb61087bfecd085c4a02d3247dc627ed70ee8783235129ae2afc42d4f77e930f38819e4cf4bf582f4f4e02fbb97e452535883915ff0e1e2b2b6d979e06ba83ca2cdb9982992f09ba3ec0ad12615bc0ffddd23bfaced60eac37c654fc0505a32ef61395ecc70d9e75f377ac6eb0ccc784f99151907
+B = -7780064239bffd36397611985f54f6ade9fa8002c2c771988c3881c17626204b8908ff93c42af8d63c9ab835f45d0f944831b9f21afeb4d75bcad5a3ddb8ecde498a82aa7e57d81857ac3dc961aa885edff580c98841bd752c6fd06fd8b7652b573bf22df9c08fe538256b54e2a6886d12b533f9d6ae6691ad3c2333fa6f8dd97097cb0d5c225b59b584c953dac02be5f4a263d028c9fd522c3ac462b36ee9eeb34786e91d8d7e765ee8f3ed291938c246a2e3e9795ada0cb3d768b97d9c8480625f26c857605ef5553aa5d61d995ea29df1ae8622c90c86bd9458eb40e3b79
+GCD = 69fefbc7fd8d81f0876631974e9692b1cd231a40d8eef4395650c9c1fd48096f5a6c4b43fff1c2dd645e6a5f1ccc47c21d3bd0b19bf9160c5e86fe6523acadc61bc9d001ba79ad971a7cc003c2da1389ddcfbd83f30b4142b0cbd4deb9afc9cf63c6d7e0681c6105fe964f29a0915787
+
+A = 3e2fc58ec40beb7ae7bb16983aa742a4dd3a0c23d7bffd643cdddebaeeebc667be7ae9c02f178e12159ae9eb3a09c57e0e0c1f2c5a1267bf2cad926680faf94299c043643c5ef7e4477381dc1b2c5181b3f509ba2a1a2d7280f263d2160ff248cfbd5770e312839f95773a9efdb8a14d3408e80308a31feca9e5c98ab1f93ad0c086634c4e3fc647f073353b94e2a5a3f4d2dbfd1ea4715d67acd5d214f2e53a48659edf2a3cbb3de2edd7482b7d1a9524ab5c91e624c17d7b48460f5536427ea1c47f7461205b9303e4e48ff5766f4ee1cfa00694f294b9c1b1d044eea8c11b
+B = -1db6e556e6441a313ef9278e351916fbb1d1a8f60b0473852c545733aa56cff148a5e9a99a4648ffe094cddfe85f13977eb992e573d38369c71103f0d453d7f1c9cd28bd22fe0f8af239a26740ee8a52920a2966330613c815f9e4f5de7a8cc4d595206771475fdcc0998aeaa91cba4ff23f5755c4a62e46c488e4af8ab3ed2e671711f514495c47daae8c7b39bc16bd7513d25f9c9c5a2932cdfa9a4822b97915fb08aef9a8d700745ee1de2b1b8315cddcd939bad1eac02ea4f90a5a51cb0fa9754e098d5cae722559a5f675306b94a3b555fa1f129d0a8e1c2bd33d644c00
+GCD = bb6ad64703bd74ee232279542a844c115240879b6ebc22b737ba06fbed48796a20fae26940d9f07a4c8df49f6dc6c02779ed89702e7cc8824079f024ec1de0e40820b909888d80d22d656fa3f1089cbdeabc4ced21406a1b278ee4c3ed02316d5a9fde47a448488687d3085b88387a8b
+
+A = -73bb2370f128449853de02fbf16710b2951d2cdc00432d9d559407e5dee3ee124482cc8841367719d261ac6ee08990c780c541819a5ce7724ae42bd19a13692bf59e36040fbc28c3f5c6e3082647b96957fa1294aa24bff9b6b13d4792f7defc708ec57b6a1828acc17001fce817f444f154fbf50310e03f3f3cabc66b8352c130e90686827187021377f0ebaea9968248fa22fdb2c7002eb00b64852d1a26250410aa9b43965728d7af0ada868e28a8139debf8bedf59c37d3e47da5d6d1ca6b34d6c93921cc626b4a871c6e4b14137ad1373a7067042ef74983faaf9752bd8
+B = 960b1f8b08542cd8bf6594332bd841403f4f4626f102df49c03353dbd0d62a5289b581b2548c7c8a2e38819a27ce89efd30f06fd4929f718cfd8b7873b79293220a07638846de5a066a09e5e128bbd4e45dda9786a63fee4ec23bac09b2c88b5e83b6954dcd3ce851cc03a37834f125b3cd704c8477d2379548bca77ae370bf54f45247de785fc115eeb5f4091724791db4e11a06002ea4de58b0e89dbdfd300730afb14fe91ac16bac4d3801ba8920d988853c9ecbd345854237529b8e2c2285c56e0efb9afa54bfc117cbee3cb457cfd26516438f700646c08aa0b38f3d44c
+GCD = dbee0e63069d014880f53fcbeb2aafeaa97991df3499349cf8619465f47e5dd88a55d678be9fdb885a62c072e6a30a24fd125a4210ce4d3b02f8bc140acbd53d0f084f9f523d57238d793d788d89a53e6442ab222fcb0761fa574676c43469fd1511dceedf8fdf1ca51c862b8531810ec
+
+A = 1ac5c776d25c58da6fea2a5c1bd1ded76e001f29ddffcd431325de81d61a5dd1cd7afdaa7a2ff3c1f442f4832f085e6983c6d10e48e75109af7c5c1c3afb94baa236b738443d7712a04177d4c967ca5d7c4df7c761cc8572fc6d8383e8886e1f93eb63eb5c2ff2d3f7eb631c63896b4f599c60a8d9114620051ca3ae40a4775f8c9bed0d425f0371ba8aa07c3e258275aa05f3490ad50f067e4c6ab1f1904df1f1fdf4b72ff00bf9b8d34fe223f8bb2d3634a44efad47c8658a35059929bab11c35ed31089e959d870d27dbf2bdc41768198e93f2d86cef4687184d1a1b7de22c
+B = 39ec69cc272060466aa4137b2fd9eb5b65d1471925b399b9481b5a2a91fa5047469693991e813dd9bfb8c4242229567361f42ccb50f933a48843274027b866f6605742d5f36878e2e24450494cc385bd57a808061f0483be1defd75038eff0b3e89b0855227540157acac06651e4cca8a150f6f4fbcf21994c48eb9e0d5ca60da78e1c410968192717b623fee6b4d48c5c0d876eaad9b970b3699805c83cf3f5e2a60a2bdfd265b409950796335a1f9c704c16b6a577a5de02eb74da151acb6afaa8c63a6a0eb341439aef9a6312d565fb5d6a982d18185c2a3d13afd47871930
+GCD = 2d32837528df392b9f03d87842e8eb30554486e30d647498465bdc7a8f06d3ceafcf7587f8ef5934dbaaab3cdbe176578d4df84a55a0e45531428cded60cc3de24fed19c687e8a603fb46bf21d70a382ebd4fdf15df2a2109709a7d76ad28287d038dd62b617e517cefdf4aa7bfc9837c
+
+A = -8003378719862360e61a4de0221cee76cec0deb355c8ef52fc14f1c90cb0c58173ff5010b1f5fd2e7a3b2988ae5e806bcc363299ab3e43f0808b16e046e9fcb5a9bc24c58b02cde79f96747e75f4aac790193ca7c104c244497b5259b70c342be35c9da89e9fa2df22a21581969891013b11ce81007e3dfc4970cf70c5d637bcfd0422c17f15676f08755948572d9c25bac8b75f0ba6dc6f9092a6ab883e82177daf43348d4cd1c5ddf6815d7e7df0a60d1a60fd21b553594d9969e54d107086a7280d1d19c37d63cc9de66029f9395c0f20da7cdf25cef3d517bb6e08ca70c80
+B = 7b9a733482154336d56aaa63c85d2606e846c76377b12486b96f2ca135e211f3fb71a3a7623ea8f008afd9c23385352124653f1aa9b6af07b511e63f5f5aa8a14adaacf84ae01183d9a26bdfe6bb1439a215ffb0597b78b651dc954a6a0813553bbed13df34c6262fe7aeb182d3007c6c048243bb39b8c5ce5a874abc796d6d0c76b4f1e833491a1f73808fe29a078abf2cda5cd909368b44ebc39e5659540090aec05fed5735fa164c68b18db260a8f28848c8aed19c89ca219ef53508da4ba527893c1373e790e30c27b7d5eb7226328d7a6018024ef466518222cf5f15fdb8
+GCD = 5896d7e146b9f8378b12e6dfdd299b2ee9d709eefd722f730a0a0d67db0e9a3dcc60923fc54a4975c3cb621704ff8b00733b28bc66a6098e56782834c1fb59df57d59f37fbbbaf69bd4252eca8bcddf68d87bfca9419b27b8c834a9eeffa1070ed2f2c24922933be68d2b5a3bb90a3068
+
+A = -10aabbb89a2ab07998d0fb800d0dc7b692af54f1d0010927d3241e48e301efcd429bcc894d1d6acb2b6824ba23abdf8d9b44898b1a198c5e2d03b0951d9a019347805df2288b5cd6ab02b43d2d191c6e34c028f0d5e701a2b348fa37e3e6ef9188a8d170706e8e0831c6a0f1ce1cc9f20cf8f282376ca00bcc806e416232c6e56e88fbf224fa7c91eeb883e2daf8efd665a7605d93cfc69bdacf06e967f2e22c40184f457eca4715a875ccb47cec223295fa6749ab37146666291ab0f9490cda54b828baa3c22dec3a99c6032d26a2511517f8aed7d8f39e6ed5cf60713ac175b2
+B = -24d35fce2c78cf78eea08fc77c10595871d1fde91e89652fd9c83663be827bb609113947aee14dc9c9efe58aebae9a957532a046e8fd8e6db28b6a44b3b3fda27cc116f070f3664ac34b73909f6e2a2e77f5f7a8ce5ab650541002765ce18eb0db171a0a260d0cc9b47208a573a714d92f261f00561c6fdf87c4adb1a3506eaa39d51bda047ba67dde681de74e39f08c9bf84a49cc3eee67699b57d2981ea61ef1bb02142d47c2aa000be40aa72ad49e90cce186583945d0aa5a3533b29125b8211d083271cbf3f4bb44e157f000d7c00241e74c3150a70ea623acec9c44a61530
+GCD = 930b2ae56db52dfa3ce46f074e90be510e2c2ed52f8d12712a29ffec84036eb08c2b010612ec0dbfbf58a4ba584b553ff99f60f240afdb4c1c8c348b12d1181fe345bd4f015621955fd3de9f40394e8a106f5ff4652ff89c91a8690186e6302b3a864469864f45316f2d17fa94124ae72
+
+A = 114517f97454f6c2f29b4c1b6589a9b00a2c629cc6fee9e710514cdda09f287e78131d9741f7989dcfbd89247601c936490731e36cb6ea2439b2ddf93769964e753abc02b4fa7cc92625fb37d7d96ee30f33f8cd2c006384727a1b620bc230a9aad1bead5364a8a1c73fdbd9b67207180823538b985d4df7df80872357a9450c71ba965c76e5e35ae8cbd2785fa04c5fe34db7c17d3984986fde851070ba856fc83faed335ab3dd533d461e7b8b88da40f26bbc41ee3026ad402811842757c613d2f201e29f7bb2b2b4e6df8385d03eedd8f216182e70f2a67596e5882c36b17370
+B = -2d26c32401b306156120d17eef5dc1df1cf56b84aa61f8f89b98f4e0585cfa2a6276d59d3c9a6554f1aff4ea846c4bc4c5f0977e22ba387bb24154ea603af2c6a4538a813e77eeb627ef479dfd3628a8c92611370bc7147bf07cb3fb2db944ab1a565133d502894da4cb57a32acccd664c8ada0b5a881d8a9446a929132c325954010c1bb7229ee578bee1f55a602142f42fd4e29ca7d645528f8eb197721bc770acad5c5976e4cc635a82ff8b3e253f6687e5c44cfab956dd5a8e04d5e72f302d2be6395afe0fbd3997aacf875bc559be45c3664f13c18c408c746c677446ff88
+GCD = e16a6f2561cc6b4971da18eb34c610c4d3fe9e90ba59b896084d6757a94ea16065554991c0faf341b8b5c866792350528da6532a95c5363061e254b87972b56325e14d36e65618f64635252a00a2528ed3d4e587035961778868c8205c3a6300de7f7bac945488a9b28b0a840f3e1b6828
+
+A = 3c18fb0054de1f379a9a1fc8324a71ee1fbc1e364c0ca9ee88e5001f3f18a8fda872ff63be0198d5d334f517781ad63831a79d2f5de70f4b9a4cd233f5a07795d92e43a3073615b69a23917ae867f508cd7d96f562025306f6885aff5e374f65f9765c56aae1fdc356ded5dedb5ab2b39bf68393720cc3ff6f62a91f78d65579db2f78931262e822f1e85ac201da648f49f19828ebf2ada440f719fca6a1c027501b2261e3b5700cb84056d836c4b58cf6c8e8cbf825cdeba06a16c9f6f30d072ca1456d32c03689cb77124afd0c5a53c0e70d417853ab4d09f3725403919601440
+B = f51a4aea1175992a7e214a98f18bdc8603a1a301b48ef739d451ef2086b35f24400628745290214275fc9a91ce904f79959a518a57a0f770c213248000867f56e4854b1d5f64685ec0807db455608ba64bd1b261f5f7f19f3b386af735373615ab513dafa1a45ae870e9e3e1e0335678bc1c9dde6751d566ba39064b1ff29be00d687956c371cfedcd5d546314a7f0f859d7b2ba75177692150b8101346f311cc10f7d04e3d7237544af0328f2641b9b4b00cf4696e5bed6794e118a59decd69c3315c3508eb396e13285cfe79845b8f8a0378f2f6279e3b9f080aec68b79e5f00
+GCD = 27220d92ad86c3242b4ee7dc91cde7551a1385a1c20eaa6f4641dca256c7d36f4654bab606557f7f42a07903e026658d5947905520c2a3d7af4744fd89d818e837fb590ba4d2a4c49c6313309b05dfc700c8e35ad69baa311654f98a1e1eafdb9f0e5b69dab0c40d7a6fe1259b535f4040
+
+A = 13c8372f0519a9e7b7246d0339e11372f3837da7446429d33b56b71b240c8fe8cfbbc9c980dd7657c769f685ddc26f1f483ec7634bd88ae7082131e2066bb191ad2e46035aca1996401f00fa11d2ace9245e8fdd2526aa7754436f6586c5e0e16623fc32d206c7a7bb65572ce48037552352cac1049cc74cc2653c4745b96eaf1cd220d1eb207d75e1d4a138f0264b21786cb3769782a2619afdcddab57335599cfbaf06e421fc2911004ea32ac685c0bc5402048e268e428db5675e4ef8a34d0dd436aedfaa58ba31decb51b1e8076594779c28a4df78317f19f5a7abc4cace3b7c
+B = 6d288927fd82bd3bb59a235dbc56263e28c139f297857adb2b21383922c47ed3749b77d6dec3ceeb50f9521b5c5a3ce89e686936179f82120b134f6a8a9462acd2d5251fe84976783e71038e4b7d00390ec164dd9b329a4dfd631512e8fab4b6c09e6180d73360d816035794934f285fea324760d532963c3bd3a762d4b10cbfa83bd47bb606e6dcd0e5c4c1181838559fcde8b3a1ad0525299c5a58203df31513692d2171a854788de7ba683c2f3a4648477e988bab2441020f1888c82ea8eaa1fb805083608a541457566b999a1e1efea8090609368721c9ef54ca784ad9b1804
+GCD = a48e109aa498fd39e7ff176fb9832ba616dd28ed999e9fb201377c0def71791af5bed77e958c4dd9b4d1e58e7d94f68110f514399819724f18370aa1058222b997a27c1107131dc5dbffa13e9d7f86144c1ef8f80bf5e6847d6826d0bf42e22185aba8f6d4735113bd82c929bc51c9fcd4
+
+A = 2dd5b46990984dafdc4d5027888fc5823ae16fbe5b42e1ea296f35ad0f65be426754d4749e408f9d8dccd0fdd0bf3f8c283db2a5714b4d0ada6a9db57c2af7ae295ff2c8167775008531ee4cce17ef316633a475fddce2a6e604a63ddb42ce861f227b0481bb6a8bc107b44456c07e3a74ed719d713c2fbc04823d5756123d54c9d4c972332ea0d56c80a438205e8afadef6fee7ef02e9afd0509ffcb03853810edda51fb3513ad1a97aa73a2860997d3396e368a4378fdc658400e3e70904ead9d4d0fc034ec4c6800f5ae90a23701dd0578dc7f53db66a2771d34a8f753339ef26
+B = 19970b4ed7267d41f82735c71b00b2765e3f30f2fb61fbfad9a99267436e0f169b3e215c762c4d5bda9139e13fc67ebfa7eadb0a2660c1a764ec98afd63699d7a810548277d84ece74e981d9c8ad20afc1afe8945a23199108de1f56adcecff9245a0b95bf8a1a69875bc7ae94f47b56ed0c1052486bed08a50b9529ce1cbc34e2b7dc798a02ab4469809ffa4b6e417c10f8307b96010ee9774ce5c78afa6e1b7185332777e822c2c8733786a1222b1e083508f6a18d4e3d2472acf15ad2c7585018c551c0da4f98695a82385c756a195412ce7d4c863843e3383ecf18b5bd35bb18
+GCD = d5b2ca996ad2a962d06e3bf99c16711cd742ae010528f392d8ae8a9b62475da6ec5a5f44fe58a600eb4eaa6a1993d4f85c68eccf577926b2536df910d0fda0b6908f4a8b79f8a6308fae75ad8e43c684eab8ef3afd1637a44eea94e1670306fa043f9ec16068f1475c5d8bc04e24e8fe46
+
+A = -c90c142add4cb6025fef5182c08267a33d11c6bc5f288f17a7c2cd3bca6d70b82655427f43331a43a89682f67a13e2389166c5a1c1a3bc16cec2f3d7079f61bbbbb931b6fc4eb138fba8cdd29f0130be25a09df1c34ebcaf37bd750ae601237862fe0e002d988814cbb9de83b9f9261693f5409af575674bc86dafd837c2ece00b1f7694eea21dcbc312fefc3c15597a297b08c5477873486ec592bbd5878ec5358f715374a5d0c89e1ab55734f5f4e9a79ad3a8aad69222669d26025a6ec4af9d4e27ec978f2602e960a8ea7714347b2d7cc9ce938bcc9e74f70bcafa8e0c90b1b6
+B = -4fba1ea0c0410f92b7ee0053202d0af5cd97f4c3f7711e59038ebdfcf570f5ed371ec7677ccdfb1ae9c16ab0e1928b7fbaa222d377251f63f34e8015205b766326249bb8473c2dc44d218ed194c09000ef7dfff514c0e1b8b9421c9f5beec5397d874c5bd91b18cbf27ff7b0f98b2b1b14e642bb289eb62602c6ca1c34b4ab3fb78e00d8a8dfbc49e905bab4dd04d1e20e8f4cff2ee2fbd96cd0cc4b9c041f3730f75db19c720f9bf09e211ab3e8917f77181e2c6ba7c259e21ff78272588dc0f7c5db9eb2af0ee87c60d2849b1a35aab0c5498289d4e24d618e73bd9593e4dd5c0e
+GCD = 4c27ee7eb8d7f39135166947e0cee7548aeef26149fa24da5e42359a1fdb59428dd830e9392a3cf54faaae167f12d400c3cf870bb97144c3ba32fa7c0613772957c7ba658371f43d7463f9276d2648f25ee5c01f7d134f60c5f16bb2da335d6bd3f9577135da91ee07f22e301311af28356
+
+A = 51407eaca8a7d4e49ee30612bb7a917a0f1a2f1f8ebd74fe0f6d214d698c2e777bf51ac38c236f0a7d961a468517060e83c8744737043bd393a2cc5e6bbfb3f0bb07361415b1dd9e3c5ca03972c16c4a7c99597f5e3d06fbc88f2707a7a9ce2b92429bba6750f65dec8b4a95b1801b9df47a813288c8f8c93489ff57c49cbc57bf059fc75881143d7039189730ce5d6ebbb247b91718c9dd83d0453c45c2891af317d9d98b696896636eb06ff05e2fe9d16eefe0a2988e58bf52f104bd0e99a86a36986321920d101ea815336bc92638fcb80fe401f7620fe26d8c09af965fbb7c446
+B = -4753075acc3e52a06627c3a8f98273593853f6d28680b48310d63cc8841e5b9cbbf309d1dd8c138c39f6fa092e88b57a08251481b7a046a322ba8940f33aaa5a12c252d33122725dabcbef3ffe8e9f85f411379dba977ed79d77034c6fe7f3672464325d1f9f7bea605a5680f7ad66d4663aeacf5b12166167e5b78d092c83ca68808fb927773efc1ebbb84c4ab7ce39e1a410b452c8b61ec25e863006c28f0ca22f4e30b859c9058562c137971dd7a847d27c549ecfd68ef38e8d83b726ca8be7e3e9e7d8ceca45da2891b9e2da9f2cfaeb960d4ce5f5b0cf7d887deeef4e292d49c
+GCD = 2fae0be8e73c72f9a5cc9e08e31711c7b98f3f534884890bc9d5eb7d5e3e12b5afeac46a6356759a0a79c424fb335daac0d253ebdc40f1f638ee9187cc0f60040587056e5eaea8eb300cc5df84664bd11da29b902b1016faed622a520b3a457e8a6cdef5fcf7474431d9d8723ffecd4b83e
+
+A = 44c3b4d2611a1e2139c8700a89562c4d7f30d32634ce0ff096ab1e1f6ab7d16ca855af4d64864da9bf3d15093971e16862d42ecade782e5358556425db227b8dbf63fd8c9b05267cb8b92031d4e81b656def8be573f0fb7b769df43e8d74a191b5bcbe1935a48b8bf517a9d4243c293e02697c4fb9d4997a650d80e96552ab78002e30449f0f268ea63d6711e45775da7836dc4d0d21e5ff9722ec8ddb0c61995061d04daebab654990b896f9d0549e2a86595ee8e7efed3c5c06fc5bd9956f141192b7de127dc4a745053279005465f15f3172fe8fd79d2228e3c70fb47c6daf2538
+B = -323b29283f091493e58868ee85808101324dff01e33cc9cdf3e2fa98615d55c063a84d327901f8ad582fa8ae7772d2bccadd4e90014f3172a727bf6a85bee37a35e0db71d385b3c65527f3420118848de88b35efd695989b2ad329b0e6cba69f631b3207cd4664e4aa36cc77eff4ad00da2f51f8e69a1381c1ed7506468b61a797732ba77e86b08184c55e837e67be59cf59bc69032914077639c5247ec544f54f826607833d3ac5cfa760b6777ee95c9c804caae205f5ec44ea9b8fa16582321968d3b293842882066e0cf6da3a58d4ace0292d84f2b243653c6f5cc3544e1b3a5f0
+GCD = 461e865fd91c3746fa3d7cd99e8f7c4cb5ee68c10a886202831ee554f349a7cdc1e18346703d758e616c9b2225f56b30c6ae07135431fbe464dd31916297a6bea854e980d685d887770855e6079414e1188d168f42713b8fc04303584289bd2e84d1942c9d6621798b226da1b13263c3838
+
+A = -484a14524658815109e22b3e0afbd75fad59d1171f886f1deded1427703e42c1e6a39aac949d54e3b4761200b76c3b56957f7bcfadf5712fd8d6a3932a640fa4ee648106a1b6012b092298b510a54c8f29809ef1c5e232a7e6e2f701fa48cc061bf8a849c6e45ce82c11ad4f45ad7b5ef4758d3db3c098c936486d8ce8d271f68e56e1d9657a21703ab8801d8592855671884a8c6f8f00fea14ca3df534b286809d975240e5fc6922e03e4b682f49e885cb52f6bc7e153bcbc66854aeebf7edabc3fbe8f1265bae85f171f63edee194b1bab457995217e097fb6d6761b7ecc8bfb23d1
+B = 53e323b8ffc9a9de9a2d4300b14c701ed5cbb4301a7cbee623d883b4c57ba787470807c407e9d85f04fdac64ada58429d9a2eb1ba4a63b5cdfc28b23e5b6fed862001c91935af702db424e6c0878b804088201b2c7611a711b01a375fa3a20f05fa67b462dc7b7e51aa4edba1e5fe4fd8c1ca5baed8d02af19dbc0070247a49205aa64a3a2a05f40f162bd4b8cace8e3341cccdca2bbc2c8473f5f0b9efb4f4cf22f322b63f92ff947ff273a58f1cb48fb6b9d12082a1bad6ac1361b9eaa46e27eef7001f471536e11b7831572c273df076c98dc7ba04523795d354decbafd7328e715
+GCD = f644fd3f0e02931b84cb01fd9e2ce8d295c5aabfce4da5028940919d3b31acea6922dbf99bc7dc3629f587951aa79600a408231f6b35482cbf07049d5735dbf8185c506f55b099fa413d8a712f88e855ec8e022847687b1eeca356163e2a20ff4e079694048df54f8ddc75bf49f3e3703bb
+
+A = -28876a61642abf9368be3cf59fd059b35a267c43e52399924d53e79737f3303a95e273e5337602f086d4eecb03811ffe23e4d5a31a9dfa0a36ee79b5e420bd8b843569fefd1d845ac608b61a277612a14e3e285600115eaabd48be272b0a7903ca9fb8777c2002e8fba92e6839dec9b6fd07d1ef356a4911946ab80330eeed6da5728b840a9877b3141d186fbe74ae97c141a9501771f4befb6536611185af5027745b0464db7a9a8124b37246e0c40dacacbc49a60d7f748f0881a741c74a84a67df2d021d1dc6114dbdfcf5c440ceddd5599d19f3e6dac988878186fa951076510a1
+B = d0a793226b62e9725f00dd0b75bf6f4311b028b88855e4895075ed055d48df2437afac38cc5801e3de57732162a837aca55d46c0a2b9daa7218fdcac4cab5aac84084b3e7d0006c810a153df3126e78abcacda33d4506aea31b6fe0e02e8ef97c1d48bc6c81449ecc810c98e66d599aea4a36d6911673a9eed1d837f2cac9af223a41c2fbe0bdc83998ac9130d3d4f5145865c50f8c5fdce6aa6daa825751b998249637f4824a32c20ad59a9e59adb4564e38ab66d6965966a335d94360e4be5c6ae2a8d9c490d61231eba282b91db40c5cd7b5d44f714c08a8ac3906af1379b536ac0
+GCD = 1aeda3db46a15d465ceee006c4b34158e06b6236d483180c966c9ca3a2394d36b0385a6d2c785d47df4df803df305541b8153450e5be636ce6cf88d2832e06050f315afed07025e32d96c1ed08c7df66d53bd47b1665aec135c872b8df2828f7805926014c6890ac857dfe68ec5501d88c81
+
+A = -3fadb2eb4179a7244d02f41b8b5fbdfbe16fe76aab0267f6a5020a6beb819fdcd9128ccad97f721c86dde164e35f2900fa48baed7c67ab42577af5512acb64300cefe9a0857b63629f6b7f73491d99144192d5a613e2d6dd1a2ed1ae23c079c06927df11af2c1ba9ffe2a6b5a1b7b78da3c039e8f5ff326c1b60552a5416d77c7cd2db663cd1ce4945fe555fd96a4c2f37a854dcf91a4631b676a538d122b688d9150347c9f72d8192f10aa3eb812669a745cfa4701f5381c14dd4f6630758fc2d0674e3ddf601ffe480e6fcb900dfaa627f76f390d12097a11e09535e6f07ce7196158
+B = 3a8df796f2f3aa3096b98d38018f757ab2ddc72995b4bc5abcecd7618062a94e59deec43fa7354e11b63876eb229d3ec4ced37c932c0b472fb2d5abb9cee3021188193d5771b09c52b7bee1685de9be055c34f8e1f5ec663dd8c44ebf756fb3d8c1d9ca47be6b1020000b3ba4c3f3c85c17bada14ff3120c7a4d2201fbe39ea8b3695a5114f7b12153fcfeda2cc4ff9f6190413a9536a7fe639d05c8b5289251a286d6a71cf3b4c1c5f24f4906dacc2adcbea106c9cf5e071e79b144fef16e233fd058424a8ad84235eee837096aca00e7bf7b619bcbd14b7b8dc244b0d252e41f78b0
+GCD = a5b9777ec6a4000f87c1c0418df938cbfc53de702367a2035a317812fb8be40e3d39b5704afea69ae652b6cd5c17325f31508b64ef019fdf0072626190c797e923616c097c159e5378817cbcba2aba68f2f650ed6240d087f429eeff283a1eade84077d9a8e1d23433cf21552d7cc2e98358
+
+A = 4546dc88545abf3991ecf7964abe6fd4429091e15059dae00c836bb6d43e7ceb6420896430959df964ab6ddfeb2e2dbaae0b98c6de128f2c027f96089d3ea7fbb665089a684b0c7f121fed84a05dd5e419ec9c2523b35955dda5134839143f03f26017d962ecbfef1b12eea92b018c68f65200daca146e6703a96490a47f775284acbc3c3365e18a524734dcb075b7abf6c8a229dac543e0066633c0ad141405d58fd39d511565955997f0b1fb1dacbb0fa10a151c7b1ad55d5d8cee4eeadb58496f8b1f3a2bb945ec2794b71d816953401829a6d3166205ca1e40285e27dc3205fae27
+B = 507fdaa9bf3b4d4752d3651aa4a7712edc430e3ef35e890797aa626db17ce8363d71abd9b5e137a7d3e273e982d0ef9d96da50115d1434287616caa69a2eb92e7098501f3ce35d4c02fa6909ab39cac1a7d86ba2ab55c92667e631508290e0e781846e6362a0de48936c3b5c8ec2e51f3a27579eb02e65982febaee6ec0e5a916351b1a6221219a00e5cb0a6bac543a434d69941935427e214da344a92d5b71e6bedb70e79c7cbac9868cbfa07b98cf820585f6af62cc2988bcc00843159311938ab76ddff776478e75ee386386f2814ca1ae65c640a13eb466d4ab38b77980fa44eb55
+GCD = 443e3bd521d2a8550284501529e20cc19a8924f595a7a1e5cc7df8c2adeb80764502332844e61bd7d7f2749112fda7151e2cfb7c940862859b294d2250b037fb71d3b9b0da435f7bf6b3e43ec703778ba3d728b0e3b9193150970b6ebfa4d55451f5b44304db5b55346f9afb2a1ffefd54b7
+
+A = 3da9d76c9f488318c800429485935f3392ccf854f168ce9668332c66b604bbb1967425a285dcff49f4ef64bad070c3b9c459e8d6b7e0de45e511653f37a146873bde37daea52b0d5d0ee240faeda35ee6a0c4a199f88cbed75b688254e22d19a2e2f2111eb444343b55914a184ceced9106333b437893d2bd0a7848e5bde16b61a4facec4326e92cce9b3c779890ce4c5bacc436becee62e156d23065b06fb4f99f14aea51f12893a5d4949861bfb47892b894f0c73d1e2abf8f58c872e2f170df8cb3c11f4c818688836dbb74a173d5531ff334083a7a16e38e5c851c77af48fe89c7f1
+B = 418a39b25b12c8fc987ed28132ab13a92d42358649b604ec83df11944d880efce6a1055ca83e0e78de1de2fa23fbb728e58de3d2eaba4c14c8fc3cd5f3a6e5d8779c1db2b780a564c85bc0e61503bc5247ee0a26fc5a4ffd1b053610fa40ba85c78eb3d319cda05b28d9800878e0bf6eafb8b5cc21b0ddd7f5a7ff0c1e3cce9293bd348ad35aa80d0f09cacb008c13817e4b4e0255bf7d0d12eeff8e805a600dd6502d7665fa7e31ac52bdf8d498a67f1975b489b47d2199c6a67023470d574c55b6f2fb357122df2e5a504431e501082031ea9ce880910701b08e3eeff4ba7422af65bd
+GCD = cc09aea1e5c0f063c86c23b3ff69a0236b6f7b1ecbe680c03939244bfc270551cdcd7ee5fd02895d838abb11c755277178450c0093ef1b2588ba52a1a6021d24cbb7a93379e093be891e3a091cf1dad0d318a1b8a316e9149603bbab61ac866383584cdf9599f0a972536e725e945cfb1a4f
+
+A = -30930a5058812e9d1a321c0639f73e34ebe5118f079a1f5ae55ffadaa31e0a00422cb5fb2f64fc836941c1465664bdd4c9bb772b7d4d7655225a0281a68807aa0e79f331384058f183385c7ea7e66a9a9279414725420780f6b779f790d6dd1f20320ffe9fb4626193ffd3f67420c27ddafc8a95287aae955ad4853cad2826285d0b80588364a6e3adbd8dcd6d57219e3c177041722cc052a12c78119c6808326ea017fd4056a31cad667d22bf13e184b0fc0e779b4aad8dfed21c85befe2654d90d427e5a2f68314e77ff7dfe691416563e30b3e7c4382494ecea90a694636ba045a1d7
+B = -b4396654068a9980d7698bf6090e2221b9477c9611abfa686539391951998f39e8c7ef838ef58ec33a5f26cb67b87967d45b607a6b3b1d0b8960bd40f1960a7dfa17a40967228324f06508c0a0cb40f9ef1febd68a086965447eeee232b29ee54e43f8b555fbbc8eeb63833f723fa5d7056e9cb5cabe3a629c2d9480cefa10db82b5064b36e0c890c065f84f061e8b96a3d57764ad56710cabe1cf0223d77a19217e7cc2b85bd523999d9d893340203629f46bac67478256a18e6d9e05f3c91d1ad8f5b34c2920ec53b6dbf41d1a47be60918ee9b02d4361f6c31ec380995cb9cbac11fe
+GCD = 7948f81b148567048ca6761c68e2920f6f910dd5e172e619c191fdef466ea55fc3151c697bf9d2d60f340f49dfc8594e46dffc564381343e9497b7fdbc3679346ee471f4793d2a94e3da634b24cf8201964cdf6db8f38e9c8e521c15f4387a0e038ac5509439efd842061deaa001cb9fabcd3
+
+A = 2822e040466c5e960c876091f4b148719c2502de412bf3f80dd593bdb5702aa2529fe4f9a47cc53aaa154ea1cc02837b753e8c0be83143afd84da0faab225104b0cd2e1a7e17bb10741c40895d7df77356ad2ed0fb821a3a050d8ecac86ba3724404ae3bb0a84f3105fba3c74c40e0a640e84cd4df3761af3d64683c33129fdf657053588d12e6d5ad32be50bdd2f0e717cfc2e2c87ebcc77e2b84cc638b207e3ea510cec224a2b9516ecc85fb67bac6d80c65828ac5950e981ee378b3c7f0fcc63e85f316c3c30a00bf34f09839b3e8f13b45c5dd75ff389624630f66ab8632ac291627
+B = -6f60430bdc2b03eccefa2fd0c772f3b615e256c0c787118fabd7b1d4695a1e3718441e45864ccd1566f57c83a6f204739862422979c18db6231d5f307eebe0eca2634442a8527d5b932960ed67a8ecf135a8d56107bae8aea83daa9be3f3bd56b1e7358136e894bc5f0b986b0af75b176ce7e884b62130a275152ea022eb64d60d6b5b9ecc00a7da611589cbce65a17c6343e879a496bce744c99394037c8f9d95fb34602157997c45be0b8c6c93861fd14b0303be507f61d4ee7f5e4ff11aaa28a0b947d4d8bdcf4055740c4f8573691348c4009462dc89e03b6c1b0979b4ec7099e1335
+GCD = 387cbd97765e8fd3655450ecca4ef9ebc040e8cf909000dc199474a7ed28ab26220ce6afdeab0c8e772e818a87f13bb61e17b551682a5d34df2af8447d2b30ee06cd4c8fd2efb16010461e4065b8e4b3d30987b85fca9b3e45b0bd953d151eff3e250d46f678a2ee46849ffcfedded2cab855
+
+A = b6673cc591252d4a0e447feae2763ebe658be5b2e5bd80bd370f7510d5ba9c3f89fc2ba85e54af92604e6c1a5b0db8647bac06d3061c410ce418aca3a8c55b966366f212e3d5703e7effb87032c10628de2327935ff550c7eb77f91c2ce78ba23d47930d9e41624561381297ed8e2214fc916fc96c13f733a3e52b3235c3dceb0e9d0781fa73190b901ccbfa69fe6b7a7156364233c0a2472f834928a73b6fbfe39ac8ab15b07a0491829b88920982cd6bf2cd8068946c6294af451822d2d45899a6251970cb51903e1eeba99f65853dcec035a6d89d90accfbf7d3c51c48118641cd1f9a
+B = 165553204d8853b7b379b90c37e8c96b534411abd9fcfc1db67e654e860d31e3a0fc0fa1f702c2613514aba14b816c349737fe80cf8ccce628ee579f372fcb081ad9ae87e305dee73d9b15b5d00f677accd5a11c3fcf20058c42ddc2a21bbb873e7a5ec54c68b77f452263d3e26a017fe72c47c4393334bbed3bc28205e79984538c33b41aad4ba73490108c81b2f14cd40b8189c3accbc053499dd14ece90d266f5bedd58433198e78461e945817a35f184b15bd9824edec047a22e01028711700d76d8e308431b96ea57e11b87cf780aec75504194cb1f288a93c01a26f61508f180ba1a
+GCD = 5af3ce452559f8f500a07def004380462e4f767d5b974a253ca4e1268b9303719d9245a820e1653bbe6001e429a7e48054e2f1ffb0a1e2afdc05cd79d8319e3ba979c652bb67b8646eaff17fd0cb7fe162dd6d56646f5f972e8be1cf488d731a26fc004ec312e6bad5e2980bae96e691eba8e
+
+A = -f048642178f3a5493fd98ccc18cd5069ac33c61ff5d3c7615f8dd3bbaaf70314cd504c5037efbb84ae1120a8ba65def97696a9969726f31780b7a499f78af24990b1ec7c152a8744995e4d96f7fcd8c097c6f02ab10fea507d48f2ec421007e0344fbccf1c7b5b23f08043314bebc0b359163823ebb9cb23c5d83e7c6ae2819f87a81ee46acc1dbfc17ddc9450a9d16276a9ab6ffdc574f07d10b3475a334e6fe34512b1d52c1a369a766c3f865cb10c90d5f9d3a1db4c5beb1b97d9bfa2604d3601d0dd7f5bf26bcb96c3a35978b18af5b215d75f37406bc7f987c69859f964afaf911c0
+B = 646bda2711b65a7a8e22343db6002d48c2e6beff6199ddd5b3005770010d29ba617a31357b692a5c7cf77cfba9771997793e64c01e2ad60d58f858a3360a03dd35a061c4841c5fa4ffa3b325f771a51635cf32097d66729a72cc1e550c57ca72b0427bd24908db28756297a2bff7330d0b7999cf47c552c7444b5fd3d87074ad42a757465c60ce2102db04399bda757dfe516ffd0597cfe0c211c919f731d0ffd06b19dfb700afafb2b54f832ec94c797d51f699d8ba47bba7e34579c90ad50a15dc4b3a71f752ca41d4a23934c7ae221b96ca8fccfb4a346e2525ef08b9934fdc14ce0c20
+GCD = ea95316b8038b8eef1e2d0afbd011876a1d4733f7c47298937206b053d072d6a4c88b1083fbe408aad7da2c9b9986bd5f689a5f70ac7f27287efbf457e3369d9442bb1ec76d489ccf45fc4ae1a38c08448cf04bdb1980241c33c8d910b674dfb5e08fea2df9e008c79346525e1dde7c6d0560
+
+A = -14c7c1cf7ddcb8ba7345345f425c774b49b56e3642ecf1c21c0bff2c3a744f578cf53a1703a2979e0397ddcea3a6180b509296dc6d12cde958211c9fcf9fe4e0e6e0065ac3765ee6eed36f15fbd4dd07c15849abb965a12f2fa865f162299ae1011472b35fe483ac79546cc2f9524be07aca9c7d527c3e78669b398cf427f62347dc963abb45be2235ec373fd6ddec8b96f361e6b5663d5fd0083b84c7d075c453d93f674fb5aebf2aa6b100bc6950d23166cdeb0b2405714a78ea5ef5bcb2caadab6edf9407daf4542e40a244b391a52b0f3ba78d216c19ec064a4aa45983683da7ba3fe10
+B = bcb4c900d22905935134b81f862b7e0b11cb14aaf616529c65f725c52294c47c61b8a77b4c1284cda54f008826b4fa4b3c1859c3597ea48bed38f27d1194dd92fde5ad6971415639048b7cbbf52d167ec09aebcab3e3776e4afc3a977b4696b6b1c8ff4725595e181884d3faf38bcde08c25179e825e6103f60b1aba0e9a62c0b3e4e2835f5e103dac8ebf42394c1fd4b46300b1a9fb07763bf460480c84c5ec4a0ded881f86490447e48825e73491074be834e17747d01f223aa7328e1b73a15c9779850642bef7d2341d8d6f94c5689020e60df791a8f088301834e08657fe37952abb96
+GCD = 1838f6765028f611a0659d913c8d1bad60a03d29d87351d793efac22a9545c1662467963a38c57ebee6a1042aa5b77487fd2e5b09feb19ff9fc87415f6cad068248186631f6fd10ac2b8827327bf65c832bf055988612b96a2cc62070f1df00c0a9f280b6b5bb855132695008d4410b6c592ca
+
+A = 1c48ddf1f4e2e090b77d2f0b6c9793eb421b32e37d1ff05a80108ea48485e228c2512b0f55ce5c3e14db073cb2bc041739f428dd632557e8c81953d9a82cf0c4735108330a317abb9928121b29f6f074c46b803d845da1c8df1869751dfb27814e77443f87ecc558a22ac72fedd5f239f94a5fe18e432e16c5341c2602c756e631dca354b4058c92c924e00132d0b66b9f3b6279b2e99eee4fddc1af37cd7059fe49b0d2973ff1db8ced02f5994d9021f0256cf0a9866301c9596d4dd60f087418377410d54d90fdbfab920d610e21d54d48efe64df6e9b441c94a98cf7613ce32b27ca8f64
+B = -264f91f06321f47a7d63b1b293c4ce36d290dae687690484533f0d5e7de7ef6f32fd64f6e200c184fcfe3594ed529df17567074e70a4f003286d991a29a68756cba644b4951a854a713abdf80ab49ee0c467d57bde343022ffcba330b68967089be4882df51fa06922ee346e96ca81b9ee9678d7869c09f17b08e5f3aa3ee75e0d8f3e9d5b43911db2c81d44c81b0f74793c932bfd1c86a0974cc53ba881aa90058b53c85008009c532e919e079c34a35c0a6477a6a6bd0f1149d20cebc5a1dfb66dd3814f30ce96f6dbc4d8baa5bacdf0d73f81c90d29cc0f88f62a315fe0cd16a1a9efda0
+GCD = 3eeffdbca0cff6d529b2de69af208e6b99a9b42028c92836af2b33b44d94074188b26ee0e94ffce40369999a8cbced6f6a94fa0944c8445494b5d7b983dd8952abca8366a7c0f0195cd0a4a02a9833a33d9efecf635529e99bd97fa46a8b9c3f129c0546513b4cbdc3fad5bfe193f7ca258764
+
+A = -1334b8fdf64ea14a5ecfa55ee2be8d844aad16cb58e880730b78624c96af300cb57ff0e4dd9bd755b1efbb257b67425020c584c32b55baad3bd3e09ff65d3f2e2e1fd2e3fa422863a18a0943151e01219448cab205ca585fded65a9438a04ffbd07bac974c021c93f1c743e6054ac0dff56399d6ceab5ef2592738f4a66315ac452cecdb33d4cd67e37d630e0ea4aa341eea9682a015ea2e3005e1ffb635c2b0cc8b8be5469f33526aafa7c6545ed82dbeb979b5178ffedadac33b1fd37284423daf18c9a3e16defbe1c68034287298ffddbf505cfe69684bd36c07f41dbc73c725400133dd9
+B = f1e43544265b7d2a460d8a619ccb001a6190356fec99b45c1ea457ef16e8bba1d5b593f62d6dd8e462c07e8696c7bc49249dd30424c01dd6270f3ef9a701ffe4516beda9641989579bc3a19850e4063589b43b10bcd8c588020b58110907368680103f420eee6159e75e286bfe7e57fb9c8bc00dce8f2c24bcf4156cd6ad8abf810928de7fd021493fa84e3bed7c073df52e6c64ccb6eb42a4013f63d19ee5a08ccf38aed7a1801997abcd1828ac28000bbde8a4e17e6590b393a0a8450815c69a046164d25f8f4321573e54755787b4bd2d61b1d54a69f2f690881f36e03d095864addbaa
+GCD = 13a227b30d272f363b5314536a673c8394d47382a13bad6517fd2f25824ed656ee5582dd4af61b57b29dd411f58dc6343f79f2ebd1f438b75e36421d8425a8f45acde7f5296e572ff3933682dddd17cc5921f8b7bc08f2f58acc8bc598a0b7c345b4f5546d1e6873484e1b782a61b486d5d4649
+
+A = 631439392ab44709aff68581006d4d26f08c91981c556ffd73e2216fb6a57e967598943b8ce21707e3a4e913f2302eeeaf5f6e698834b671fb70b9faaa5803df021f00fed99417a687d018fe88a3f6d451659c88258fce8e2eae399e13420981abc80ca62ff4889634f112d1a95ee7156b963b39984fff66832c01ded16c21d3e95beb9b80b586113c572906a1abe64e82ad599049df08fb15a3332a701d4023f72839d1ff81bed0d949e5bf577d0b17dc757cff6503dce26fdfd8f19f5aebe0970f3413f11073d668fb4b5b95848e933e08777a396b9a4e876bc7c46c7e764cc8dc8961b2a8
+B = -68fd910c09db7c7f91bfe1681694f9eb3cdae2038da568d2f651e3de40c1c49681f04bd0b6e6138b22c7ae472e6c8d25aab48c9793f327f83a8720fed7ae600fe9da69be87b4d17e306664d98abd18e7569df688375ff67015cc8b24b85feac2265a1c8c7bf59c892ae6f6a06c32c724751acef03b0c6352a7f963aeb1a0f26428cb9bafabb4bd00b4a023c69a424eea642c32f701771ef0ca92121557276670fe4a6095d4af57b863d281283d1f6b1b81eb7e4a06f63eb7424a1e3e3cc37dd66a3349907037301338b940f974460810aa71fd4ff503703f1c615996867d738e158691bbc1e4
+GCD = ee906e3dcfa0bfc80ba7ec6f60680c35b1f736751ecc2cc44b788f2ef3eeb5ba7050b2770d16bcea3486ade92b2c4cd57843713d03c82227f90357bbba7873004d32d00367b65abc90eb9f8de7c0a1753c11e185205f306b1167f1ea0f65c3b08433ed093e64cfecc42b469b4cab9614c7ffb4
+
+A = -1c3c92d85ece7ac25acd50d92583baad9a55c081183106eb03d094e95741461643e47e3f580dfeddac4f91b6c54abaf086aafa076e81228d17e928064789771984bd9a77fc48278c7c3d176fc5c6f14ead8c2ac1e50b5e61f1b6f1f5087ced3a9fdc60620952a6fa89571636918f6620b57be9e73d599435c1d3768b8af7f53659c199baee56c45e919a53e7edc14bf052bf8108ea4d10159a6a035b9e3d2c34a59a93c2018c089e8e02f0e78de4abd7aa4873b64d969719b7bc2ee0f4a5d1b7720db9047a69fc06b05e70d308875f0a33ed409677f0402f6ece663423a0856653ef9cc5cff53
+B = 123238a9895b89e4cfea644bf0d37f13e826de10d159bb22a898a0886d3dbf0c97f9f95637b70b7a732354c176cb89bfafb9069e60f9ec474eb93248090ae6df18101e301b617a67deb23465dc8274a2872e8c616ab41ecb41db68ff83d6729c5b64cc4ac2645bf92c59326738518652ffb212a2dbb419b4f3945cb6d3e7687c565a75857973dcbd37d89e3b24017c6c7b594e77f10d51162107f86bebb5f48406700b8dcc67aecfd058b1df64e75ad24569daace6729afad72b62689b4e7b9e0bb1d00fc0ebfc4b861a821789a502b137516b6a984de4947f83acebb43bd5f2fcfe1e01d6751
+GCD = 1d9a0e6e71a23dbbc63f9152d9d650241a510786848dbed2f2e86354e97fbb30cde2f7bff63c69d3cd1ac5ed2b08392ff8bb87be42e1df14154816e81cf7f0cff5bc78f705af9ebb9f0588f3c5fe578ff8d01f86f217d3de0dcbe67f1d3859a1db5bb3ef1dc239d9af5764b46d474972fa0a107
+
+A = -3e5e2a967d53faa7a12ad8f4dab9fec7a43bb415f748e3a3dddae9096b87cd9d742d2f3b7130f2a82564682295e521754a7429a5a761894769d54d8f2111cb9552b5064f93544fbfa27e5f1a1ba07ad05e89fd2e446dae65d55e71877089407e97e50b40b6b07278969d46be1b985e4cb185b0d800e6a8a00e3a768cfe52ad7f625742407ec4a2c3a246037353c86ec201b0bf5c832e559608194601410a6fd94d8010483bdee47f1d38d79a0cc5a11192c3e64b656519e6568f0ec45ec664fbbfdb7d0c24b54eb0e25cf1794e3a9a1f72059f6ef4c93045bc828a4f3089ba23632380be40288
+B = -26fac76019831b0efe3b027a929ddc42f1baf5ad08c7812e3763f5009b22bc1f993e5010f1f6a4e0fdf4c1a42ca7cafa9d1663c5fa7d78a9d907ced834c660baa3a97480b6f712b9b50e73e4c1966e4342d382538582e1c3d535760d0f6b183ff811f4243220daeb64eb4c4180494a31f3b84c3773b3bfdb92215aad7e68829b31c9448fdb857205862f085357b0df5b3be17bcb36c809d27ff1e19035c8df35d34a5cdf190f8be2eecbf82ac6f7fa534f76c6f88b0e46834aa28e17125d4e57766a8f5f397ddc235a7ff3fe5e755fb867fb2d933b5cf117d0bbf9e3198de2b0aaf0e3e59ab0e
+GCD = 2ccfdc5914a66cb177ac376f9d8dce59e0f63ff15828b8a07461b74afe7c4fe7f5849ef7cafbfb994de8bbbe4d51746a2d78f9b5935854d157b8a6f916cc8b18c7b9b17ba98ad8d1fcbfc7976f56c59931f017dd6016b6b04a0011764f6bb3468ec2497f3643bd4c4a622768f8a359fb650f332
+
+A = 1c6b60d15f6bf611e1be90c5aaaa2178e9db0e2ea1d389b5a897684153f9b4f4ae3e5daf908c186a93d12a0ecbef797fd6c2b763cd33cedc107fc3affbacc5aaaeac7e3838252f3dacff7c7732e97de098b84f39c7cef85489ab381f387b43037876b7c6e46f94c87cbf1888e24854a7d6332341ffc8e89315e360a36d572dd900932fe8e5178bd186b311655c882de0ecde312a171e11354e715db5df75f73d60e39872b603a979901f5f87e969837f700b5e992fb0dc1a69744411bcff242df634ea062087e9e2f7be469c8c68fe1f25f71af94a0a7c11fbbee22077460acdf466b4d71c8f6e
+B = 2fdf68664229400d21ca8e86fc520d7f294d82b989ca2b7e6056fde84ef1c99a924a2a35b83567d243d1918a13b292f5ffbb661846caf1ad308bd71bd48ecdbbc3d2346e5f227327ed68b04d29fba7de045e911bf66d5466a9300543e2c8cffbf3d9ec46d8fb3937316c224c7e622feb89d671a1b5b9fd992c7c5ecc94ecb7244342c1ac352fcc0681f072c174b61bd443d65efe6826807b113758aec5abae595e28399a9e210bdfc4ce6128ee5373d631ded0840d98ecad4422848dd3d302ce1fe06ae928aed058f72b06ef37b5cfccca09119ac32a6ad14d5fa3a12bc737fcb25bd0776fa94
+GCD = 76e6be7ca709dae8c7ae53919df8629ea6b2bd6f3eb1b0a19da01d043f63d5ed21b497cfb03b3385fdbbaf8e721d9fafb24a70441c55982cb032b5220ebdc24e9b723f9f89f3ca961cc764a11b5a61a896a591419f90a9ba979e2be8ca469597857a25c827a54ce07058f727c8372441f9a42fe
+
+A = -427cae2d686c2e6f2d9d754cc3b4dc846bd9d1f502d6b43f698b26c87bec28f9e29e61fe227272e92e5e488dc8b8b9be83b2288921e576ff2f96fbd7603d03cc51bf5bf0cac33da421d2030e8cdbd3ce9ab8c63967a49aa3bb83c13a060a71ac3795801d82a728660e9b1def1c9d5e7916164af2ed4f5107e04bc2005bd1edf83fa72319040686686e4f1f4d0de0dde71e98ec1af683753c2f95835d162ea4891b339f9699795a569a761227c9679006d0e14d8f73c932ffa429fc3c6408a927b8612b506beb15ff31327f60c089f281091cbe8f3f45d0feaf40c56498464940e26abf62c618f2
+B = -19cb0ee8d08d1003a9c2d49df3072537bff98ed370cece39560b22a83fdf3c3216a1c6a994a1d6c1615f51fc3e407abd014a66307dfeac566d817987c78e2285c877e67ae16d9242e277c4454b98c9516c935bbb1c57321e57ab44044e41c51d2e0a9c8a4ccc2ba2941a8e3037018956a78ed9bb3bd28224e7ff39170e260fedcd3b5af84912c0560eac18948a8aeea8062765ee874f5a8415aa8413f0eff04b3ecbf019aa8e74645b3299cd79e67de4c6c6c2a8c16da63369f6b900a5923defe4bbb15be387661a5928085aaab2170505ff1b0dc761058bd7b444545ff1abfc406aead8ce21b6
+GCD = c51a0059e7ba25ca99f603eaa19c4f6c85a1fe88f7cce5f63a4843241c632aff66a0f67d419ec95790d29bb9dcd194983bd9257e8801aa189b6c4193a2723fd67fbc165a61f60c8b641085dde1fef498fbf0078d244b2b541eab89a7943c9ef00fdadb1a71d7437eb678c8d866ca5a7c01bb996
+
+A = e86355e0e8bcb5e6d27c26eee1642949077300bf57af4382e42679a4b56f44b28539a2256e1f50a4bca0a18d91b5739cff22087736af74c1c5f5ed75787125fb3740ace227e23fe23d062bbe2ce8e3d22a77143e99e9c400bca08a5a98ab278c4d0ba4e053bc0b43caccd8bfe568070024b918550a5072003d29cbb570afd7cf30197bbbbfa12bd0ab6da8ae38c7a7755ef31602ae98db4f76344bc72d0ee7c57b12bf7dbc0f33fca08fe7222582187327c8c97ffb7d655bfbd99e77018beeebcb685dc3d33dd6f40816d5347685692b7655f1c01fd65b8bb000a66c8730f30dd2dc7233ead8e5
+B = -9978252808f31f59ef028d16bb19219423c8bbb7c0dae3d0cfa2afe55d587ede9ccf04caa421fd54bf00c99f5162cd1c7001173381dd2d5115fc59890b16a1e127fcd560145f1e4344a29773359e1845354a8088d31ce7008ac09343a610bf0049cdf5b8487a8631d1b9e5f44f2c140ba0b0f3600b05751a9128f9e5deca2bafaf2a66603b1aeb68fee50f8ff763daa95a1b196bae0c8eabdca0b7d0d1ccb335094d326e92c463df36e283ae041c486be0767398d26d3b2cc3160838be3e356b4e8fb87912484d5b10c6f35f2c73ebceca736c98c70d31bb52d6acb71f0c2e31da5545a1317cd7
+GCD = 10498e00a7854872c651f1b8f70611af8720884468fb85e47fdcb02268727b6134390d832420c4a9495011d9b01adca356c73381a65d3a463943dec1f1e46586ed7636986ece14002983365c3569e0ada9b2fafbf225abc82a6e9ef1093f6d3abe4e5558d6ac0bfcb59fd0267bead429ac2b7399
+
+A = 33056396ab8cec0fecc98ef3162b02938c587a891f1f3a6555db52e92a063948ee74da3f119dd17f65759f6acc50726978f2c773e7413de0a549df231b6f8d7e805deedbd338dd91b9150d6dd1cfcffd10cb2361c74847ab9ededa975afc3525853002e6654a1c8c3726b13773462468ef0d3ec2721f58aab9531f2361b86a045e5e474c5e60fde8c443e3c3e1912aa2738e2278afaf782f9f66a1a224433ba5c0b509c62fce091026095313d2e52ac427163bf91e9ae0e007e2fdb37bdf5b39eff0fc7fe718c21a9231d05723c8bb6220ca1efd41528109595a08615e2fa7a8207668afa1c84bc
+B = 1794e6fc76f28672aa31fc5ce06f816a23a471a5524c349df29f6633e70739f06a673d58d535d76dabd629e5837290fa48f07d327eedba8cf5be816598305b97fabaff5e445fd941f041ed238b1044ec28b234af9af90db93b8fef73ee16e107e1044aa73f055199efb82a0cbf8f95d0d4cfa1b389cbd210564a58c557b7e27fe7c20f01e49a3070fd2b9a99a27c7c5e3e4fed2eb9b8cf2d628e0df0d4467545e259dd26271c7ac2a7e0e0f0e3bce27b8e71764e46d44bbcd54fd1ee345009abea06317230cb28ccc926dbf90d8a89fada44e520d7e7bd4abdafbe489b779b2674e26976849426c
+GCD = 66c0c2538c0f215bc264063e843f046e97acdd72a6be8a4df097fa2092062aa00d647364e9cb9f3fb4d6d230ab55ca2978fca9ae5c2ecf355675668b8244f1292a7a6a3c757cc466a3babb50f459e8717ec74c9fb3f0b707d075c42bed7287ecc72335fbc09e5c3a4645ee6c0d012c179917fa384
+
+A = -3b3a5314bb4664ef2ab0e91d6f1df9cafd0de2129aa3107b114cd827834ad48c32f685fc2df0bbb35a639f1c5e69ea5a1f659edc5c6fe367d121574ef045ddbff7682655619753ab3c0722541c2ef0520f004036dfb6eb6d657fdb4f22001d5afd1e27c99b2692c60341c5076430180889cb0876b829ff71cf97194f2f276080bcccae82bddfbd9a67722994c304b77d8e64a4ead5687811dc1c22f9c2768c5a65e9a214217666f62e5d1f9048feac743b2b6e4a1b70f606167afbad0296cabae1c96875de7d25e70ca71e4aa27d5572bd988c5c79a2de945492a2a8fda4b0c282acc7544481ca4
+B = -8c581db9dec18ece53c7b789ea7112db2fc3eb69f742d996148d09cd4ecfe609cff2d1127f18bfd8cd0e1345dc861fc403044a33817d74d91448aa37ea60eb01a8f056994c1c727354962b68bb6013e3596d0d26a52246514eaa0969f7cd1631a8b61ace1b71030ba5a265f21244f33bff821eb928f2314ebb898977b280195cac32156d5586ebcef564a946c00f4175494f025003afa0d75e507b64a1cb1afc812328a0a4c324bba02da1252678c4dd8f487a850fc423748c7af6671b185d110ed51ba57c15951cd968d4cf658d4ee8aae261c9c422ccf486f5ddb7ed12e0d82723307daa63960
+GCD = 1542dd51e9b797a6836b721170844967093b734f90d3f3c2d994a3ab3ccdb8540400243c04f569643c5521bee0028ed99a073e1556ef4ef494b75e227ed7bb59114235173aca3b269c69edff2992a17ba5546a641e89f40fdbb9e85904409cd8bc48423b0c9c0aeaea17855c86648a444370f8c0c
+
+A = 15e2b28ff803f51f8288785b8ae7fa86e4f3950984ccd177c328eb670bc43bf5c3606b67d87eb9d66f5ce67358e2b5796daea9369e70eac202a172bc5b964b2e35c6783448337626fa942d8d484ecd43de5950a75b31b54138199167f47f4184ec735002816a5328a66d5ee19f4380a1cc4f401644c5a38390736fa9602380934c5c436950f31c96b5f8caad7eb9c0a138dadcc1229232f5991e555f4d50b503e0f779feedfa70f8a1728f607160a13ff98d0014839522cf750a46cb0d495a2edebda15e6a14004ce0b5f5b54f30a92eb85fc73a1a0cbd21e11fcb857d8b038e3caca8b9f6c41000
+B = -49c127992b7db7580b12f2565a44109e46233fc3362880ce492bc32a4bfd239d1f15ecbf1235f172dc7eefcf9e4147dc414dbdc0dbb1f3b7dcbab491920f2ac7222534e7061ee9c64a7379591d9dab761e78f80482ba97af434ffdb7cdeb807afd25c5769ee3a2cb2ee89f3d65dd4fe30df47cad15d73eeb0522f5338ed8ac1525be55b262dcaad3240bc0388c07b01b4e3ed5b1660178aef52cdb1ce4c7578f5a8be6bec03ecef50db96f9a0499c36a7e56da927f4534524c720f64267b41c37192d7f2dc42c19e9871007782560a6d61eba2c386a45de5eae7f260623ac4611fd71356255f9100
+GCD = c694cc1b3ec498b42e0f4e017f489412a825b44adc014c8ab6aaeb208482328c74398cb5b0a29a23d98684b7f66543de2a64c0051e320f3b7160c9825bdb58dd54b745cea68c4416c2a18c117bfb927188eb98ae09c1d0bb6b8fe33317304da17fd1590e333a7037cd14d66f3d141036a6146d00
+
+A = 144c7624c202337f31addbc25c57eee691d4c53cd144950380b0a258f0ca3f9b1070376af553fc6bab7bab5e24d29e01db5ca843ccc372a2626c7bd9bf72354fff731db688c306eb212b8ac0c632059365f1f8fb0398693045c20effef6e1be6772f2fae9393e1146e351cccaf17b2f94854388a43ac8e9d5eb88d2f80f249d5569b34752795719f8364eca5f95b1c81edcf0b132fb5c842631e4f11ad9ea48cd7954edde4102cbaad26ec8c6fe6510c89e888ee38581065a14b837d553ef51fe463b4e60ea578b8a8c9db30d7d371cc8245bd20fb09320e5a02a2ccbb095ac49a88602956dd30ab4
+B = 12905ceee8770f359c84edc7a690e5cfdc622736601365cd5873a06702f159cec39a844715f1244746a4eb3696633ae0d58ceebec67a5b13655acf3f43b634252c8367bc748b255395bf1717eb8c3d2e35cad72a593b1f0072b746a957805048b28286f427459446ff9e989600b48f7c536dcca749746f1196ee459c66752a21aa62fc1c64e7ec1ab2e253f95de5a30a4a1f94e4af1344ab9bc2c348baf186112d71e54081187816154b17c554615c7e695e653496199d314f248bbd46bd569e2c8bb946b479fd57bb1bf24466d05e599bd610bfcf28ff58e5bd5029e0fcee95cd090c55f06d69dc3
+GCD = 19cd7d35cd66d6d82762165b023f0ab2079d010bc60c3351191298f6aa84e7ee720edf808ccb7fef965aa6a45d161b61db517fdb81bf844598cb89d8da88f61066d6754b5ad1d198fe097229ae809befc77c3430601832ba014e8003bf48a44951ba07a6d0c5455d3f8d15c757628537061594827
+
+A = -64c6f8f645e5cebff01bcfb1789002372de6037690481f31c6460d6559c9a991c11c2f52c4e23c7f7aff4cc7d414b69ada090d985fb88370d7d90e4ec3d5c528916ef0924b1e3feb091a79e8c076038cea37014cd4a6919fd8b63d07b6d974a73dee865a272468b2014c48d04af52a0994f0ef31d192f4691f8a6525ba83bddacdb6c5794fa0180b24d196b6422b20f1c5fd0f87d8b83a23c3eecbe022aa2c1182dcf7f6bfb654f6ef768f88b496b511146d179dc63ddad0c0e1c320b69f1e44eb8ae9075f58fe120177c695ada018469c8ac75e2caa2ff7be48f78683b5d65d3be215326a7fefe3
+B = -31c6ce93d717e079220bb57125aa35cfa1b0372cae028ca09b2a8ad4ff7e1aed3cf6a4da340be66d5fefadf6f0dff307728a6d695367c00d83ba34c8f606aa5c2d95a2ebdb32ea62e6d732ff85f6d8764be1900f25459c26f3aecedd50bf0ce11f5995fc56a3869d3c635871af6f45f36af89dd35b309ae7fca7db380a4a5b7656ab7e63176f343ca4b4e879b23b7a6d0d4fc089a06edf9c8d0ec25de94cae1fbd9cdf12a74dd264b0c11761c5944aa8f419299dca934d253bce4baca8e7501ddb2d6716992bf310239c881bf28534b89caf9e72c48a25e033e65894638b50878f31b40080eaec060
+GCD = 2419a972e10b2dc32d8117f561e4033d49e83b290965e00c9a044dc2f5ba783a50f3d03df5e0391ecde035d887da4b0080d2a2913510bd24c8af1eac47b5c0cfcc3e6997b860f7ec6314c6dbff675bad27919ae4618c05572dcde1a01c309a7c9618e1b0dc8983edc35895b02f643603cc3f82cb9
+
+A = cd6606d6892510aff4f5a536b582c847ce3b56b81ca1c0b5364dbfe56875fe8f8382090f9eb54989f746adc00301bc7afae592a49c6a658fca77ee18d14b6c00c81e6ee634f81cd88a85f0d9a2c0de12033cdeb6bdc5fd11c2c3cc2f15692869f95913823efe48460f47e594a40087c92eb0c363bae3d5d71e38d5430e74ca9d4042e8501d639b8b5a9e27e106c7fb29cea7a94a0dffbd19baabdc3e9e38d60d334ff77c874660b993ac99ee8eee45fb44d79427f65e84fd27b609bf1fad3a4bad2dcd411bf58673de4b6833ae1352922b1983b8d4559dc11663b0e8c5148ed321c28680a63c8c5cd
+B = 8892aff7c9af626380c036c35b9e4ebb7b570cafe38e36228423c12f0c06b970cd0894e51737a55ecf3885045a0496a298061a740e32eb1781098b16e5bed89d65d85fc2f697d58497a6b8a5e8ea5832dcfeb07d8aafff1fc4028b0e726d70f0663cc23f1d3be6c775a7d94389deb6879e596442d173224bd61bbdf659f8f9bde48366a9ca2cf1847939e29b0883b2011a690c932c1a8fc9c33b4689445fa289fa8bf015d5d35f398cd9719fffa214080ae6d6596b59dde14209fd6a4d1bc9942dab9fee88fbf15843efb2a2a0a747eab57fb7884de2448b3b86ab6d79fa79eb5c92080f579730629
+GCD = 15eb812c409a908ffd9f509f93fae6f6fa24467ca7ccc5f0638767f0d7a8e8df8293971135652819f5492c5a2f35a1635f72cf187e0ed7959aa309eee13c7e58f8c44f6da62cc49e658acb7e76418bd735d7e9e7ce507985275d9bae2e1dfb9a561cc89bb03583ca7ab4a79eb0df7e3a9674e16969
+
+A = -40032fed495cbcae331309b15837a774cf9fdc6a738978313a51edd3b89629db07252c4dad9149b9506cd5b2bd779864b850d219682dbe33c86e39911dc656974584c7529fc385d44b7e8a8250097f3ef852513fe6fcbaed44be53f63d378c6cdffb936bd3e7fdd262d50f66941e179700b99255ed290877b9fa2643c75ee44cef7d0a288a6544e4a269cae6991e46e961441d3544b39c6b5efdd16159c98edeeb3be8f0da8129a68e346cf0840577fedd5a0d5d7f665c59b43aefdc62bd3c61cd830b2fec4421a73c710407eb06dc1812ab6e725fa65a065c54c81a48f7a437611a60dc32c26bceb0
+B = 30a36676b41b072124887ea9e7a17d99376a53796aae3d5c2b72f769f749d1d19ef7bd7ad350f5e4027bbaba8999d6b0c970d5d78282f3484a696e4dc435f9ed2a10c1b07cd60e540e812499da84ef41dafb0dad73c9c56bf03f100a6cb2b0bb94ed56443ab4844f5a1ca6f76d9145573f5b77e09282ca550e6cf5825e9da080500a7cc903a00e5dfc9ce4b493ffbb3107156ec4ca3497dc436545d91751c8335e685ab97e42f36bdbdb331427e805c49baf31106a4ad4ba9fd94e67941b10a0438c7817a8b3094d50bce92d89595f9fa0e153850c9f29f213c331843ea2ea7c04c73d3e00447a9350
+GCD = 16eadad2be9c76f1fcaebbb87aee3c816c90bbfb701289b53aa8385fa518517b420a3a740b43a1512b64d53fb814bbbf71cdd88ccc58d5848416b9de7da63b18b9bb6bf587a6da1e22969052a2432d3951b6e4494a75981f8ab2b8b1f49f672735dc79b062230cd1436ebf4b11b2d9bd879e5fbf30
+
+A = 910372f32571c79b73a8e00a347b6e5e00416f7e307ea838efeb34b5ecf4a80bf89f3115c02a52d1657f169888bb7d6b377fb758febcc7f037ca33edb619a12ca252f196df9a36bd00b4ecd9b125ac435c9bedd04073c8c9442722cb2fb1020dc3e6c90bc84208e2e152948e624d612b01ef8c34654f46e8b053c8234cddf0099a8d09d6f4d7887e5bd0c1f87be84d4c3ad62cd49e0158269cb6191644d88c6701c64b4669f6911874ab5cfe16dd795e883f440a55143a1a81aa914e253311411ab6ce7328712f707afa372b4964fb213be59bf302b7dd3120fbb44be5cc2b6d25c04257a49a0da624
+B = -16ccfc21c05b259ba7f85e36770a524a2e062b774408b67b8f923f3e0364d2d792d539b65c55ce8fe8d465c0248a0bf7c45ab24cc327bdfdbc7128c8ffcde21fc18d2b2ce5eaedd1c0688ee6da89071cf4c95c507e8924b7389d6110e255edac5f35b87d45ebc28168834ddb5e4ec8df2a44c14985aa427b38830e745c926ef6dcc7ca350ba0aea3943ccee74e7e8c8a661f935adf919ccd6ab9af7e91d688734fa0288ae4e161e41e0bbc7d94921dc24972de45babae761183d85f2eb263c68abe78fe461f8db6a06f8d50bfdb2cb26b5bab91dd6d6d8398483f4640f67f1689065043a3281eaa86d0
+GCD = 19cc28786f681d8114e48257854da5089753d5fec4f891c7089002d19ad7486a59d7f78359de4eb46893cb96cc85bccc5fe01d4591974575342f81f757fa57cddb3dc12872168394a8d8a8a74d41192ca803134912474c551d0093be12ee93691256d51f6330db61b804db219bf54be07e5f9a8214
+
+A = 493304b7f96f0ce1fa4f633beb3b9fd4a205c6b60db3990918346d36430d34969523e6104111f49c870c0ddfc03451023a2611849e6040bb70e5c27ddce0e9763f19d23679b723f2b85c734249fce4f5d39790d57939767ff2a813450dfba695ab61832523268ce4c331f6128fbf8bc99c00986f31f9894404ce325ed3d1ce0227e29f7e5d0b56534f8db4795c3258de47972beff8352ea5940a15dd635cdf7aaa3c15570f031de45fa535af0b78905fa47a75ccfdf068dac26301cd7411e2617becfb2d6c996dda9458082eff6592b4410bc5320900832cf09e64d247cae6180e1dc428477a01fc417
+B = 4399c9fb7d23545a484fcdd57014246c039ceab921aa0aa358ef3a2095f75d5b8a3d36af98099c54a02d4365573e189db4b022157315268f16b75a15b075d93381c2b6b02dd2273647c5dee06fe8d6cc3f2e2e34d8e9e09369311caf6ddfa468ad0cb43c1cd523791dbee16384301f1009e4d59bd3732dfc9733ff053470896a71785f621696a781c3bfa6f4aa61cdffd8c16e7cb8e8da76332e8197adebecd0220aa6d27256417ec8619e37d37fe6de9a0d2d98affe94f87f5bdf9e4e90d0b022638d646994bc0d1472a892bbc70c50472bd278653187f789acc69f090fa250209c739463a1acd55b6
+GCD = 5de5a39c97c6aee62d45826a13fb87f7301fe30518d7b5f141e24b90281c4c3c554afcb2dd0286c3f65996f8f2cf801c4708b89cb63de6e69df18204fa1d478054c4c33773c52f93677c0d1a7b55e337d3abefd684c99c189b0ac10052d9ce7ec2d3ee6290947693ee42416e1a87daecb270283a68b
+
+A = -787fcb2e73fb1c63b36d5e87afb4fd2c390d2d51d7dffad374cf13da6f2dfc56486fecce869414a0d65ab8541fcd43361f824917404082497dd89db3cb383cd384403fff63e5f69ab47e8f7f167e98af338d6cdafff5cee5b875bd726a3212137945b9dd3ce512af7f27dfce8816a420ef9be3da0aec033a8242e48e24bcf843a095a157ea892c4b4ad0a4a57b105f8b37f709706645e4b77c88304287285cf24b2391ba960f7ffd77321345bd44ad7c61bf16e7abdc1a6201ecd4c7fc3546dc6eb5edffcebcd09ee1eb89c5a676dcd2e1ed8d58a468962bcc5046a4e08d2d40d217ac70c3ac9eab855
+B = f7b007351a8385cf125a8bf624bb4626fcb401a2fef8ddad056c168a968835996a67cbc2bfb23f0d042b9272cf8dfae6190db8e110b93b1694b85d6d89a33863177847a47f87233f700e76f662994329a4b910b386916c3853de530aee27f2da9498bc53ff4ef847b267be4b420e8d3dc634e832dd67af0c011e76f83c88c6a94ab119db00c6047e0e3392c3c8c5d35033389e8cf004e1ebfa4124d18ad7e5d293e2e2b5e45aaa1ebad6a31eb4c1867f423418225e544c84cbeb0beb5ead0419f02f332469fb116966c6da3852b2d57cee0e35fec7657248d3dd801d94b5b64ee1f7f8303b2b9e22e02
+GCD = cca8212b7da1088bccc7d58f92abd0f95b9ea3fceda0449b8e3d0a5f6880a2ca71e3446968346738ad797a59dcf53a2f57a35a131c6c4020ddf485761f7b28541fd1f805e3b6d3f0a67dfc9eda59abacfbf7cc654efa84e05d1a30424d21858ae1d00564e6fb03a7a97af1243e1df12a7a9d561c49
+
+A = -605b0c4d45508914a93ae9837b3ce24fce2157cf34eba1cc224afe7a9aa339869b0c82780223f432b49d99c35162e21d63886c825cb5764898fcdc2d84394686131db17ffd6af3bd16391148d2efb3f21d9406e0e322ce82713b4de672b25dc8d7f4c669fcd646bc2ad95f874d6a9efa618fa80aed3e1f2bd560a5bcf504ac0ef5f27fdfe906f7b56bd094b9506ed02eac31a100345d8111f2104fc24bd8920e2a502bf703dd6b7591ce8d119d3a4d2320ed0eb68f225bd7d231f9093475bced1e96f9d20591052cfac4b0209b8434ce07ce8d1781fc3fdf19739939930e8f019fcbbcb1a8020aacba
+B = 4f887815861ec237f5a6865cd39ac99cd4e4c22e3d86af0e7306769599446f60d16b3a9810a11bbde61a4ef382124df5a12b96b37beed4a1851150908056b27da473dcd8d3685a04e13c83c88bdd3b761dc7688c15cc454039846c13ad5ffb722193ff6d737254917b90169bfa2b407ad0ce3edfcf361239b773d2e525348ba7cf6d45889384d15045b3912e1759ea0949a0f76e623a025b79fa96d7105fc2eba2867bd8d3cf3f1d240c7aeeaa275e950d93c9c0441ddf3dafcd81e111639541bd2e2dffe78513025a0cffafe600f7d5e4907702a55bd7c50c7d790471eaa6c73665820769ff04673dd0
+GCD = b49cb116fc7b64ecff52cf6465edac4e6bd5859bc63fba48bda6232b012eac29585dcb58ad8bafe3954a31b86822f480cef8f2ada21eb5f9da2d975be03f37a78f8c52accf862383acc6b522e8a460b36b4a22e4e8750cac4f3ad1f1aef905bd91301c27626b6b1c2efa5c3bc470a04ba0f82e48e6
+
+A = -5a0bd5360007c82a34128bd60b6da030deb6158dad4f83138dd672aa7cbe2cf918c0566e5d66fafb7a4a0c6a4ee152b9892d670511cbf82243a9706cf05dbb753970f4919805948e1cf496231c5a6d9448335ea500baf021f44924b12783653ec9c96b249fd055a5f0e748753304ac2126138bc90437014ad721d1795c0ddd460e420df301bfeb4c313a86e058b2adcd4bad821f450af08332fecb336449eccf952c862000845c06825c2c952dfba038edbfe0e6832ba67e8a7bc5a17283dfa88d7e8ec03adb7daddc986a8adee256a66b09ddadec5de61dd435ca9104e0a6ea8353c5ee5f0a2d7f9570
+B = -f8876fb325fe1ab2412e3ceced8ead14b1633cbbaf19c1cb7b3405ae1ad4e05cecaaef6f2241484e8d0a9000a4669c2f1488220cfb7664c4f0ab847f5dbbcbbd61b18254e3e467914af85da5322127c6c269d543e42e852f7e99b54bc64b2506ab070a08118ae82df83d61f6e02787a28121a64f7709fa207424f8e2aacc54240e2ef0d56ac7876ac7adb23594bdd518eacd1b694177d71114ae851fabe9c9fb38aba0eac6f7d8555fd12e3e73a2adee2e6c8826ade7ad921c3c33a57c372c83c19436888876dbbd691cd74f88723a2049a39e3c5581382b0e11d82f79f007a8ff66773b306ee4266c88
+GCD = 1be3f97ab8856be5f5794ca6c116dbff7441360931abb899d6048f3c953a65d58585eaa4ef19d542b79e2094d70ebb34f16b4e125f2676df70f9ae77eb8d32d1df13cfaced879af55ea02a77e4e7c81214e22f907448dc54dd1d711adcc42317b8ed6a9ff900e0a4e01c49596d326cbccac1b5c4728
+
+A = -32b6265a4c525dad6688cbaf8e30d60ed57f188e30bde7bd76e2aeb8e4177d9ff6a5a5b6c2908a72b37ba21397d11315de5c6a13bcd95bc8b02637e5666af43adeab5fbb8491f1bb21b6055d17ead95c06ec27922a1f4ad65f05aac1fb790affc99e3808d90d6c461d4c7cf5ab358bacd1f40e4bad8edf473cd22806167639e83019c12d328f2060c8e2803bc55dd6052043931ca369bf8d048e26c7d28c4ef3e6315b98283389efd897af3e9efe682e9f1bca690143765bdab96678ca18d17861b047edae2fd59fc38fb133f51d0ae6ca6396281e241db69ca56e75113f1dccebf279d365e3d313d5be0
+B = -16414cea556c8d344a309888331fe81df7984cbf03ab2ba6d805377fda4cfe6727a0665be8f80e66cf9843eced5baf72267869ba1bf58016c5ed700f61068b6170196443c1ca893ac592afbf375c62c5058e6064c4e574edab913ccfc9b9b783085cc8191d7f125c429341b3f0110594e2b0aa598a14a74a73d26191a4b0456223791fcc73815973f9f693fed451ad5dd4766e75298a6760387c10ad77d577e4a8616f2140f1bba7a9a3aa09d08623782f169e70fbb29ee68c2def93be8d367b96de4cfc8c15e14f6de227ebfae646998d552da2a34b7dac4f6f640f857462a5a1a5142525e81a27f2c58
+GCD = 2607c20d0a73bb16f6d031b6a305b6cc74f4d8bc42b50dc0ba7af12f08e52907dd0cfebda50782f984adecb31ed3fa935b05a9e8275441de1a3d1428963802f7e67051b8caea74dc823bf76f6ea9ff4889ab2004baf3ac689d3ca24207613df7ed2cf8a2d1730735a1a1068b93f8acc5a9f25061968
+
+A = -34556ccd3afb5c513403caec74d40ac9951148ef05eda2c9216905320302d7502ded8431152e969deb1fa0e3aa8bb2ab44f92c4667047d98898f2d059aa23ec7120478c2220faef1a339ec03e4eeace99b9fce9b1cf8ecf06cfd8e6b0c1bab4d6dbc2f06525e19a3490a126e92f7132bd5ce5158749db8e5c2f8a13fe2b7aad0cf2b2d883f4564fb291481a73d1db19872f4c02524064dbc914d952ec7618328983e7f7f3d2a343cb5736d252aecc6d2f4be47c642bc7d027f883e961340a8fffe0a2e4df0721598056abfe02b035542e78ece6b9ca34da75b37046290133bf38a05016ae9f4ed69bfe2e
+B = 992c80f67d8ab0244c02d2d5c5d41a76e9f371b632dfb7540769294ff3c703b5a6f9c54d6ee4e0627e76cd677c0b5d301e97fb8a31e02eba424c3259b6d2af105422abfbfb7ac58ea00d57c2e6de5082ba5340d3ea57dbdb33805c03f630808b424f5e70f2b3d7b5eb678b8c2a69d4b82dadac66494a9901bf8b12914f2f675b935e8d0c4cba85a7788f94f1f2c1ea1ff1b13c2e45dd0faf89ec3a7cbe34cbf24aad42547f4e3651248171ff93f9f5a2a3142f70fa69825162b40c48672fb3f591cc2209c27b302bde4820abb104dc58e394f665574a65587aa7b51ecb097bfcdce7e226e441466840434
+GCD = 4186d32872115f075f3e78fbae6fa4c562a70bc291a7d76b3b1e49c15f32ecd8440afbaf516b3b33918fdec066034315fce6351364ab998cb0d253c4aa7f837c83f8cba8d7d5a699b79242abcf0dd1e1ea7d8676cde77af2c1054796f91650fa30ef1df88c89b0bc1170b97af466fdc1cfc9e7ba212
+
+A = -6f3f89acaa5e4cabaf55a49e5ce54283eb0ff8f906f18b170981a00a8276dbe5fcb0f8a1890203d570ddaa2b7ffa01ce00fa52dae4ac2cedffc5c3e23ee1891cae96b96f796bf2728ed84fb506c52b5c4a2c17e584b651bc154aa7341fd962ee5ff8f17b0294057a9cd68d00a139a311137b9aa50112dc9017780fab6bc9f6228cd9545ae9b13aa4dfa0218ae30716ee8228c5328a0479fe9b8825083ef0477bd324116ef28747103c751ad3ab4dd41903f08a0e759b669067564eaf35e95672be21236a92f18e8b38cfb28bbeb6eaf78397a20b876a38339dacfb36403359b69125ad0c8c133211236927
+B = -447de267e22d62cafb9163b032fd4b05e5890436e130d8719367990bec8a839eaf7970a8df7c0df2e170b2b213f3aea2c7564ec21bd058066c5f4eb67c1af16accc7f0cc2ed9e7dc09f18146cd93afec53b7deea0fc76f69f4674a35641be085d143a8cfd566f65f89c4de11edb5c5edf7ccb4e55a3d7d5ea695665f541bb16e264cf1e68933027344ba21a017eecbd381de923b0ed0e8372b0a3151c2c098fb7cd907a91db061aa80b7fe1521425d9bad0799800fcdcf708509d95d3efefd9cc4c70fb40473aa6217065e1167ef1ec8dbf61e8c4303b6b56db0d9bef2c8edea9ac0155c8c94c3a54b4025
+GCD = f23d6ef60f002c47ec68beff8a5d37e1d237a5b74cc550aa794588bf7075dbfb7b0b2d33ab5d4d11914b86c5e2dbc5d9aaaf800d0921c128532f180caf354c3a999816b3f530c28d9dd98729929aff356df0feb21eefbed6e8048492b3cf367ecefe22611a8073abb02828fe2b41b4e37879a5ce20b
+
+A = -122db965487b2aedaba743fd7c75005ef9cdda325b1c071b376639dabd87c5df076a3c554d9134b615ef7e76500f21db921a3f29080646eb755c3f413f8b9bf18463e8a7231aa989b7f6b4171f51d416bad1a33f422f6034661d7c29697d874f7f1cc8b9a9d3f3483944887533e79e80182ea20e428ba8116ed326aaeb8e947283e9c16a476b89e25e3fba975e9a626bf8d60b11d42def26d2af5c8b371092059fcbf0d4df70d6928fc314feb9d3db4dd7aad0e0e4b99676fac2a1641fd422009dd0ec4e6db48e01f73ae48d7df9c1fdb8080d28b2712669d8460d28b0d6742979ded50970de9512fbf17f
+B = 1cbf584d71b5d64c0e1abb94069fee883437cb199da2be679a8555bdb281afa9a622811eabf3bc6fa2e76e05940f2837a1a4d5fe42be8c0fd60846c7e41de85df5cca213bc8a437a5cf16c61fff74a565055d043716cee41df8a39ae25b1983bfa94936fee682be736251d01a005d738502bd11fb892d5f273835ff1e467e2f588779378389d7e8335fa8594bcf6dccada1ce0b8c3d250f0a56912836b01b361e4b67b1ad843a31866b3cb742e6c4adc4735b906c308d7211252a905e7c36ad258662f1f05c112aca9c46b6be0bb67bba542d4e4622542db284f3be920038c203df508a8d4a29eb57ab7a1
+GCD = 1a16014f6779396badfc6b6c72a682ec0a2abead65a8d91f0dc8f4add86e910524f457b45d6ba55c1ff0073960062b2992f098c5dd8d91adf851c7c53320a28372e4e7fe6dd3b228453745ead77865906b70f2566fe2aabe6083e13d22ba3b0e9cd450d6bcbb556751c860bf1eca4eeab83f9b1b9cd1
+
+A = 31b3a9b6981ef0ff0ed65e091a110ee281654d81a43c4230046a058b823cfb7edb5d3f990982de7677583caaf62442cf5cd732d056e3619c59479387132ffa3941b18aa87407edf0eab4d0761cedf4924615cc54ca6616b19ef924121dc130176710e011f09b5fd6f37455ac3e37c7b3a9b6e4f173be6f009647a184febf14b6a34cf649f197a140f89139b20db0ad28c7cf1e4210573ff84c8219ace07907ad8d01074c6f089880e0621dc6ba9af775d5bb6d829f818c65488d6254ceff0692ff900cf125fcdfcfb4efe8197ac06ed721c2b085fc1274e270465a620ba4634c5a346a3268033b764d3182
+B = -2db9c3185c27240951e05bd53b8a3c2980bace3c91437ca26c1e6e2431a28f040e2b8e76d942f38d77ae89ad6c84d034af9734bdf523b4d6a30f6a671d0d33ad095a2db15a00ec84ceae7402c1266091404440c685aad75ecba7fa5ced7c5a2fee0854f6215680184a8f3d59ee3e92e86e568fe6e0478f63a7da71d4bbc1ec3946abdebb93745f86cfacaea2ddb7fe55177e96202e5e2c530311c849cae60ee45dda43057b74b1885d2dc086283e29bc06b5bf80a1715b74a2dd74ec5e2d6ca92d79957a7cc04f78d8fa32039759980fe0564f0522f3a49ccdc897ce4c184acbf1a51b5aeb7db55fb6cd1e9
+GCD = e9e570a6f0a658070201ebf674a09bb9f1e2b47629280f4189e80a5ad13b13e9f77f3c2d1ac5ba3e8c0d33d7102bcfd243b58f5a05f981d30571ef924dbe0eade1befff3a71634cb7b2632fd1824b95dcc423eda49095fd6c367d065e336768fd8dd1417957e535fefbbe2032ca62e08b20d1a2be88b
+
+A = 17482df2398689658b744dfdac901114e972a3deed4258011d211d0294d4a9026aaa0ed3824e47c1ad1da1befc562300822b59cd8395b22251a95d4d99ac2e294e0d666bca09685f3eaa48ac7ae7a223ec9eb779df9cb5d30e4462b5a1bfebe54ed39a4fd60affaa56fb2590997e12124b4548897a2650d4a26ff4fd8b7d128a55f99dd900fb8b7a8386033442b25f7e0cbc3703e6ab3ea8ee16209f8562ecf02f179a95488419744e88c00dff63fc745fface8a99ec47e878ae6881a3cf0d5abebbb348a7a8d20180cc0dbd72d7a6a7a9edb63b7c5daa079fe559a69b8828c35615daa02bb6f6a9582edf72
+B = 1a9223592d3478273f8a2dc7b4c747604eb5e7055f8a5f0518eed3f97671a276a4806bbdd7c8d78c3b2f6c22b23c0ecf14b0ffe61f505cb661d40211ed553b947f7e322b543f89880151f81c31440b65afbc24d912c8de458066e17ba2b85b05acd57fe8fd7cd9db652da09f09e59f38ea3597d8dcd6afaea783351c55b73536dde2a369b4241d6544b2f92a935dcb1400b8b8a2e4e48b657554f93fa127ee1717c06f1bb82fb01dfd3ebb10837c4d0e34a4f2d6ba9c1c3a05d74a67535065a7faf371bb9b14db65ec143f384530357e626b4b0f76bd28b17d7d31c343188c92e84dc9132872cd82483da2cc
+GCD = 6aef2fb6f066c0c14b7986a81f95a7d886b7f265fdc4915d327a227dbdc932bccc4da9ca8797a1a41395f744fee1eabab075aa3a9fb8e16f4fa05e5f86c1fd832cf81100256d39f149d5a38ceef9b30c693eba28be10773cf9e3f75882227150fa6857318408e9ec24f2d737c2435b19d12fb17903d6
+
+A = -fd1c0466f7714ea2ba6063d0a937b5d786c5c9f356024e6d6b1b8c4db1e7e766635063fb6e49a89fcbc6c7425d61825279acf71b53ebc7bad844dc830793a3ac88c8be79be94570063f96c12fb545fcc93ccdadb2f9aef50c258a8a1bf5d4ae728d063201fca3c380283de44d620a4c7b1ffa8782b53a39e7eb9feb624dc1018a63cc38ebafb5ed220a06344674ca5bebd3a4e2ef8115369adb9a344b16733c39f22c71fcf90ab8041c8c5bb7fe46e911437b708e555a1b05d9a293647e1fc26e9cc4bb4c253d4d2200a5e027bb60fc6f30644f51867e1ed1180b4fc8c887c90948436b967141922399fdfa
+B = 6ce66c4141a3c3a9342f27e47b6ace43b6a51781f7b325242339ca0105baea91115e32469e19a4e66cd160266e890f9f802142872e070fc48eb794d8f16b107cafea07434e7b1263371a12c46875a8feee338aff516866c0e409cd6eb1cee3077520ac4e56c5119cc907573082b7c43667ba329af930fb4eaeb2105f5c60162dccd45669babae312656d99c7bab86645dd002802672d5fb7cf46fd4f6a492bbe1d94411f894014182223b8b57f33bf7939ef8dab98020681465aac458b186b7a591352607dbbf3bc1583c6bcd4b004c258a4ccec681cee796f1f6de02e89d6c2e7578373922096728a05e3ee
+GCD = f9170b8925c94a44be7b823cd9225198df5a4f5ba75a1de35633fbbfb9c1b6cee1f2c996ad7fe0d0877bbff07731c54b4170b9cad50e04ecc771cd9adbdb21f6de041e0a672535dc473fe87455664ff315e2cd56f1cc62ae32707fa5cffcc10352ec8d19465edbf4a16e6e4fa84e9af47ddb49ba70ea
+
+A = eef0c318f88a58ea569f007fc1de8b8a20eb1daf75bd074cafe54a98d0ff42e382313ad332fa72131ffb892ff401b6f8629b6803984601b3dca097665b3366ddd718701bde7a3cc9a4ed6d32bfb03c417f46504940693ce40cf4974c221fac6dfde39b6342cebd40ba92c4c0aa26d055b1dad111ac1f8191fa2023c2f23d99d66b3586383de397a0c66884dacbfd94a0bb00e14e6b42dd3ba12341e958b8312fc137e4ad74fa5cf2469cb8b77223525d10b30d23b142f1fcb55ba65f387dcc3169250a425d899e211c900489cab7d306c2eb601c41f72881469bd072938bdb1b0343c061c85e9f6fe1a5f148
+B = 1b125078001bed77b9c4b5e87c9fedbf07f76e17613815623726c6747f786ce6755a892cb09e021d8e19716a0f2fc13c47dbdfeb9ec0860144fd8c5828fa40a937dd88ae2ca6d99b7f4eb13d4214b0ee6967b933c8c04514898dab3c4c63d58e9addecd03bb9201285df8b3ef590f35a4231a4a5d04b432c91b4a5e5f77cc758909450682072c461a5e375198de87b4bc5068c2485f2c39ee78562c170e843d50cada38aabca0c54daeafb798bdc23c04662c7688aed7696b9cbd122b92b1d3e2df4c12311428ec3890f52a9301036b279c56a46b53f56bcaf59a98ff9818a679086e143fa141ba9d2ff52b40
+GCD = 144e99334fff16163532ff0ab0e059bdbdc5bcc1806510c8be2ea456c498418ea5ca5c238e440a6bdbb158e5115c263a929566ec6281873ba40df8f50c180798adb5b69cafba3e316cb86a73f27aa25be874c3e56cd3113f4e8c3c9c49e143faaf4de622ae598edbe2a53ca6ff80b9d9c6fec3daa51158
+
+A = 6791ee614290d9c57ab9ed346151fcc58e3fcb9d52ca6c47f9fd9d776c646462351bd5942c10ec7fe74a1a353a1c654fcb8b5d222ce9c99dfcbf94869b2867229e9c453afb7eec49c9abf81af1ebfeb01f9f1aaab650e3e4a20df44fcb6b5330c65e041df0843cbf4717be50e0296b089992dabb968abe34fe183877fdbe1b3eec9fbc988add47bd46193521d372210e1713add6e43d77dce093f713d313d3f56ac9dedd63436d12fb314adcd9480fa18f5dec67a1a7f6f19a8a8c1c1bc2a3c9d66bc80922a1e033e74833e128feff522a1a8b82384e4b444b3270d258c0524b44cbe1c2a13efdf3bdc80c14
+B = -5c3e390500aedbb40eb6df147184f086cdaa404b9f3067ee919f6583e41a26cca66afcd2f4638eb2f13deae0fedb6ca1087a41479965e00d86c270c689d6608a919f20ea5bc19b1480caa0cd87352553a7b7a9e8676511ae5dab60ac2ba89ee958806620cb8d80fc22a3e2e689d91101484e259eed684e491f8d24fe07f37f2c76be16710f8264f86ccd1974118f425762467aaa70361def924f3c43ed47673c96aedb99e4eff0b3e49b9028b7c508361167816531bedca40dc13eae1ef4dad3deef629c51e53a5edf4b69398f3c87c1c1ad616349f165b0b1b4c44a5c23d32b98e114f5fccd7514ecc22474
+GCD = 94bf24d9f0da7eaad7694019b2819cd1be541661e24a1cc56c5d17ca47fea99f221b86a5020e740ad910b7a05d12121aab47d8642ca90a50bd4979e3e01750929ee9e168205b44c4aea451e8bc13d4c9041841ba578a1a17dde7f590f98d8e30cf0b83cca4678d67ebf7614cb127c8f4c1d9a6059dc8c
+
+A = b37d970823b12244dd6386423b600fc1cd6b708fa33c0ea4ffe02af206e89873f400c7b4ea15ed5f125b3bc7ec117e036006fd79dab2c05a86d5a1cf0bf0f99b93c8ff140fca3cac9ded6696f6a9f391e2149e24a2e5a87ee7728edd222956479fe669b595b16aa55ccd979753018c3aafca95f56fe010e614850aad199d12b5b093c7ca255ddea0838c6290ea717ce592409b8cf4557444971175af8c2db0dc765bd9c52ea1f10effda3bcb3ab08e1c14b44449244bcc17f9cc792895d7538ebd1a61e43f000cc6ff9c2a21a9bcb54e0e42ed24a5ee2fdebd3b18a2661208de553e861a8621f85f52343b6a0
+B = -e5cbfd8548192a199aa4094e2d35bfb8df4e81551a1de7ee4c7840cc3d2cc2adc2fa14c7faa6e50a5c6f56d4475ccb182d0683c26c178af35a255d47e1a90f410c22dd3bdf8e9ee1f3d31db2f722e980ccd78165558d78d648cb237e5cd1dd7d32e89f77a1109e8e630d02f8fd4296d7c59566d95c0a2766142cc2ba990a4fb5a3da46234613020b137a4eb98935575187879391c52702e57eb3f841144adb32a168b9c4520c0a08832bd6257af939ffce0fc3dba908f174f09cc758c84ba739ba20f412ff463e14bd6bfd74dba1660b17b627fdfc894e0adaa7fc69db4ed6b29990dd921f1ec5df9312bc5e0
+GCD = 1754745095ef8bdab40ba3fc9af00182d694d63f86700f7edd9fede8bf305f44093b8d3c4aa0fb37e561e59f6b0e45f0a637c9e3f1f2a938eb3aecf6ce923ca4455844731a32e6fa2610a95940596e0f5b0adacb63199d62c1de4779cd0c81486d7f3b1f73be54f8b2a2afac110d550de10fa05fd1d3e0
+
+A = 174386f439edf19805e88fad230c3c49ca9943df583383551689380bd18f9f542682e2a2aa5299abc3f89ce8cb17fecc4439e516af296721316ae6289b6c17af8646afce30a977ecd5add7893b4b3c819a2a93148389cfd974512b73086d494daf2ed9eba71e48d944a041d6844f20734e9204701de46b5c3da9eaa2631286a15a806777733e8b3b6c4207caa39c0fe4fc2c0106abbe96ce3bab358eb53c5dcecf720c3e3fe1932d84a64e3ed4d3bec94fd5262aeecc4b6db594dc31e85d486657658f54bab9d15bdb109544e50bef4402d8f82aeffc85715baa88d5c8957936dbf9b77ec5c24227f136a60400
+B = 411dccf78a8cda1da2180093cd1bd62e939a844f1b748c65bcef8c19430bbe3e928fca5838f9d4fb3a61d2f3580d70262125bc96efce26c53df0aef063c14ab2fbc4b4f70adbe6039ef551388cb9ae46ca95765824e83b667f4028d29e07e477ebd850aafdab3348d1a50a56e965da68702f5557ccc920d6dc053ffbb4c1418230b79cd0bc2bd67c8c4b176f5095d0f788b1528f597578fefb735823550c7322cfcaa424f2b1c40b35b24f89f85d7993587b5aecd48746b731012f905ccf86c9bffa64c4e183c3f3db257af4ddf67f15201bdc1260100ee07305100bf3dd80da2038a20fbfbcf3592a91bee400
+GCD = 4038075a3913d712f534c1bd0e38b52d5da623825d079b2f3fa45ebffb31b1fb5ddfaf87b6fabab063202472cda6f5de7d8b8466abfe799647b49ed41659dc80e640343cbab8a041a257e0fde6374a9d8dc1d208bb5e66428e5adc19fdbd2b34a015c4df383ed067ca0d6c4fa45330b054ed48f3f5b400
+
+A = c04fd6b66104840cbb2badcefea7d4bfa18ff2066d31fe98d8dc092b01f9bb42632db53f4b79242440d63b98b91a259fab64282fa7fcdc3050493d8640665473eb753f833c7651825f3fac053e4bced94329b7b28fe49447c353c4f38f0744de34a6a36602a3f45e9078c6387d72276798eb9f05a2bd4206f3c929fb113100e56620fc37382b1c088a99f5e44b647e38afdf535b387a65ce38b30ef2b78245f0712d110a224ccd2a5a934179f0440fe2afb3297932fe9d8d39b18526ca4607fccbe4c2682ed7ccf9906af99d3aa391c7d1008943db873c336e3c3b70111f99611a3b54e623a0e95c8e16e3ab8
+B = -31e939c8f89188195891ecfcd8dfb3e016743a80610143579423dcbb8ce7c0b13032355f4a8fc48a4b358e5631b01030d3f8dfb87b1bd9f182ca03b77ab1d1e3fc847ee3406317a37797f1e99e2eef1901d2b943be0588c4dc34dd8fc35cfc0cabba0e60090b7176f56d36d9723b03ac59206a8035c148c294dc04439ef340be7b59566cf2234743c1c714d85ce54738c7835f8aa752160305222b79a610d803a77a51500d73c03777f25367cfc92243dc14a4c27d0d593c749570a5f4a8af038427fe7a85559866c1d24cd505903656aebb7510a9369237422325d86ef578f242b40aa1b0dcf56be71ad6c9ef
+GCD = 1b4bfb8dfb59933f302e2f0470f335adcbf2cf2a5854f2dcca53fee76041ed292c026bab508c3aa080dea74bed44903b4006a5d74988cd723af379bda82f7295d9af87ec11420260a3b13805a31aa234eda0ac956482b5779c00c2ed47f405d59130ccca809fe28e16279371f84a32c996b3ef5beb2195
+
+A = -1ec84d7ecf3c26518a107f674c281bfd12515af1d73e72903c8d5e119939ebd75a9b0455494bfe045a32c244e92bd683b680d9f61842aac09d7d0ae531c844e4aa140b740c53dd989d260c9e448e7c3629cfb588f1986931ac615bbad07e5da5cbcd539b23dcab88d966e5152b8fb6b9cf0fe77ca160cb196a77cbf745bfe85fecd3284001859d14f996bbb545b10b97c6c8977079dbf1706c71e401b09363aa633d6c4df95e71efd2e88090fcbe543896f3c14fb4993ae1e0f4a7af55ba23d03be16ff35552f37713abe690268e3ef44564103893e563a7b2f63adcb3891d45b5474d3c4f942e981e40aa59fae
+B = -16dafc071f159b4008f13eefb507859e951027aab1e7e8806a05c3ab146984b2afbb857db6f4acc8b832aac7f44a32264d0177684109c67a9d8bcb8ed9ebaecbfcebd46b81cafe10b5adf79f7f06d0820f3aec4d0023a76ec0e7de29cef09bc2a664507b289aed12f1886f18a031889c3082aac506ee702f057fe6a3e3f8fbf1832ef62f40555360aacd4f3f49067f905438f87e7ca2f3d7d4fc7317dce37fdd0ef53716dfa6bb381b18af5bed2433190742c4b8db74c2295c73bf32a7e5af52b880f67a7094022f5a4c3e5cc9f8caa2e2d5b8b4e8261d155e5852b2469cd881123d95bcc079388bf253075de70
+GCD = 60212b367c8604754ae62a482f83c726f9f86f8049e3e0a457b69e92fbca6ade5243f1a6ff929f46870cd8b111264647d8132ae51577aa8c3cef7899a615314d007bf8a5f84e96636a1ccce31012c694ab8b1a7f99409a4a2151d5301066626ad62122f509ab92291b2f49d461136aec98aa2731058b1e
+
+A = b178291fb6e1e9c507748d4ef472b65f20199462a13b9d3207d2f0c4b40c6af8a83588dc1fd8e267e6ab2293a193eb7e7fb3bbe3f6a7bfba2169a97a66b66ee0facefd0e07846164e3146ab2dd79072fc31aba3dff30a7c38b79adb1d571eb7ab72f253e9bf97806e7cb12d57c4a89f85a07d825ec263ecb4d39424114d532e891c27e32c4140d6689b42f968f0152a053131c22766e7f3be78d1ea90cf63bb6c5b3ba5cc69030996e40cd78cba5c474d979b151bc53a6a0bd488d5157e7648ab512f98e99e3a399e6ee30835ee3f1f86e649d8db323ec77a87d9f57e47842e6461d5b3ed4f7c8b582d97af9f18
+B = -d7c7451d838403e07b9f637c9c33dcde84b208069f5f5b045565842819f97514dcdacb34fb61925da000b05df70c61e7e89ba27d9d1d41aeceb78d9057a0afdee1965e822cf9b41bcc9efd09d443fc3617811e1679a8919b3e010632b39fccc2ae4bb640626991c8aafff6af497f27d4564c569ec7005570c9ea7de397177c53ff799dc8182bd6b88550c6976076c9959acf1a8edae670fce2571f5c313b03318bb8af75a6305847c56ada5a9bae66a4c8e7716f0d6cb31a33c8ecac693c711e70fd6be3cf7d6a913e6fc1d27888a4698e302dd7fa765f61844677f0567de1418586ff8d782626ca8b11a96c440
+GCD = 46dc0c1210cfda85efdb051dfaf039a051666f92c9de8d9e3968e85c0c8ed0fcf787f60809df46a9a34fc8c3f2da82ac2b03a56b2be43637bc29ac7b5cdf4ce87fa240cec59a71c5fc53a136561da626ca99be9a3e0c7cbcfd51e6e117dfeabf53e1dca8d4750ed0a49b1ec35bf86f8e57ef1a803388b8
+
+A = -4c6d26c7d4540c867f1a49155fcfd4e23098123b55618b4363b8fcafb96416b8dd104195cf1f6540f19671cb388a69775a3a2733f4499a968f638c5dc58361f91edb5a54218f7be6b0aba1dadd014626c6f02969ed684917018db3a969fbbb48fdfb6738f7739f544f111814d5d89e44edbd2d314b25187d7c1f2bc0b44a7ed4f4feb91a5c05485a3b52d283e9ff08f4cd5e1af0ceffd9659c1e92debedcc53af3d50dfc8a3312b59cf3f3596e855cc86fcc4cb00b88a172c7b274e25b4c3d002ee92f2099a2948be75c4c880983444e6eb4f250d804935523cc3c6e1589b43a00a8e604ef0ba3fdee87d2d12e14
+B = -691639e248536e130516d522327ceed5344b019c19c7ed83ee5dbd590bf40f75565e1cfc588ad936b23c3f1c4514aa5bec0346df07a25c7481bf2d6395f540004249b4a2d4ba8e56c167f3551deb13b794ca396d39b997d5757f60f94fb9c3c938060310a302a4b69fbfd5d4952242b3b12bef46928d64645ae9ecafc7b8b888f098c6cb39c046eb640b92ddcfe5ee9abc2b7a59f23a99f9a925dda294cff0d09ef6bb1f5ecd7cf6429f7362d25b9d87f93a2baf440056155caaaf40df3b19c52772c374acf20a652e6c0f546ab4244045766075206f6eb0a8b9e06da4d40501d8432a20ccd1bd880b3eccdda48c
+GCD = d8e3e4071c8adbb32a1d190edaabf7765777333e3e8ae7a4781e6e455f2589d4ab57794e81ba8515a42b1fb0c2d5ffd127b66daf7e1c712772e18029fa1c9495deebeb8c2ee27a8b67ea1f01e2d313ef01c31cb6cb0f43e9097e8b2be44ac786803416bc90ea8226f7befc64997b4305eb0fb4916d3904
+
+A = 3b8022443b59bc90b3cee319324a22171b8d4d91f24a960013fa9ba41b1ade6eca006a6239bf990d21376203c08446c63ee9a295bee7bcab02df79daff03ab532f4988846476eb2f705cf1d2bc73e04420fafa9bfcefa63331748c555ff209d3622087e899967b7f4951a46dc44898662b0904534328d093975086dbb96850a73dfb2459b2edd0519b6e231da5ff20149fc2ed48f175c53b59868cbb3efc884cfa6352bd9c08cf95f10cf35ff79add7a6b7b0318fc3599bb118cc74fd9c30d3f45037856e35ba416cccaefb8b42b6d71cc096941da66122656f13df8275d6ab76111579fa85a99e84092403c8438
+B = -1370e640b51cbefd4b1520085830175c8519354e1674af763ff8dda5f049fa81364d8947ee69d8015f2dac66c24464dcc7074f65a3df989a51efe7dbf40a642a7a8ff6e78d7df722c0d7e3ca803906aa949e8f8d423037ae98e2e80cf175e93bf15cd918dc0d339d9e0b7b57d0d0440a54f422da220ce175f17483f4509d42f1deb5f5f4f9453a796e47bd922668a92381f05f566e989890b9fac0b4f033a2bf6bc0f36dc83d45ba1c6f5df726adb42ab2d2b01573563feb3eaad7adfb28902c7402b7dcc4041b6f097ab9810b270f7180bdc4786f65c207c3f1d591d82870344cf6fd719061f3ebd79386743450
+GCD = 173b54e0de1bf6d7e2399c31ee6a53a2165268717f8e21b4429f0c5c7c09de122e78f389b9d6aafa1dab387ebcca777fef562a3d37d845befcef6099f181933ac69197c400a739cd8fd878875a7eb48f117b1e539bd6df3d959d20ae3b87a5eadef33b736888507e60f660552027c777b277ced6c84a948
+
+A = -749d3d1b9d868b86b905e92496ea7ca44168a9cb9dc51da55f4edb684fcbb57306813e4f10e4b93beb15f46b51e98ca9b4a3dc6b7ea3ed7f5563cb3c2b6181d5da8aa58f92dc21a898d6a83e947dac0a5ef07a6d005d807c3027df50bbc8915940733b4dafd0a7eaeb6fa2098ea0ac5d0c3d439259fe4f5c9fb90b1dcbd6519f14a2388d68033a7cc7ff347d05d07619e8c97cac5120b3574fbc5dc8782d1a5b43264f992aafc920a55b2c4d3853ed94cc493431e01c1990b68ed964634d22ff7f6cb1c83f20f76ced68b6e0c042dabe2e2867138457ee5afeea49c6aed0938423355b10d2a23508ca0c788cee472
+B = -2b3d741c37ff20274866897bf9185ef567dfd2753496d55403bbf4b62d65abb9d8e2660baa774ca923229bb50d2701a4c8b26bafef6cedfa1a5f2f7f68ba0d6a21135d3f0d5c87ff545a464c62caefbf3a9d94f020fb645e142d3b3a3124ed5b4cbd844a8cb237fac64bdbcd3e8425dc647e3ef7a82456a05f542b3073e0e9b934b36ba9dec34ae03f8a39d1dffe14978bc90a78058a85d8dda4b30518a8f961d9633a6d7e269359ca61433da7c9e6ebc30e5e90f54f5e2824d5156320ad612c10cd9144ac09cd6c4dc5056565cf83d87f6f7db34cc13ff7e4cbf10c59d06c04a8d06ec680f9469c3c1aade760f85
+GCD = 3e88cf2db1bf24158b04a9fcc3ddffa918173bcefb2a855afc39878270ab61c4683fd16d5da1286b6cb3d1487cc0f2a05c9f731a0fa132036c9a59db500974f33b340c38adb25737d558232338a2585ef1882668a90868063066ecf5dadf7da643df01499c54995e94c42f35741da0e54fc907468ddf651
+
+A = -14f5c3e5b58f5f53a8be6c4329f11f3ebbb98f940bcd7deaf1a90dc7263e78d913e1120a4cecefea9f578523adcabfda6ebadd0b19d2b585a19330a11b47ecc7a3fda5782537bc3ba57ac14da2d11e6d840297d9cbef2ebd84b72cc51426c1b85dd2d2ff5c1c9e31070cc110f696a50e440353116fc02a3eca267a50fa314c311b5a26146212f8713abea8593e3ea7b7b9af8f03b804a837d93628175a0ee06fc8d96674103dce65205248b6f3da6f6902b5901a2c471adfec09f8d4e5e41a7f714e1f2d9f72087c23b50fbb6d0d1649a2e12239af1ccd28241f406e399fb3e29051ab89aa354935e029250e9e7ada
+B = -bdc010bedffdd5fa24ca7a5460bbec7b023587918bb9e342d52b6f3610ce6539d22b30f2a186bb5039516daf6582076d99883e02cd0424f0d0d40a4518f122eccfbbfdd09bfad58584a96f039e8b329df8070db246b55a47e718cb7417531bc289e6a4e894f2f02df96a1ee4942ca8998bf27b7ad6c81393a67becedc76c7a3db9b0c659702f08331938436707a5c74e07f383dd77694d4e92493eaff259871910d30d8ca092512362a7784e9d432524938649ba66e9acac41db0aee22d40b7dd163c85636a30a0bc9bac7733090a6770e09db8c07fb3692a008ab3a14cfe5da495aac423ec93bb58374c70aae950
+GCD = 21ec0047881bdd7b4e9e1bacc1aebb7173c9facb8a4873772f39e17b7b42b1789044beec05ccb3b4fdf9ce65b6cd7e882b22b611b69d328956469330a64c82ed42e30bdfa7ae78fe1711fe879484aa4242c58ce2a7ddd58c965e6b0c3a100ad5077df840c1f757fb09553f67864c0222f1e9d3a453b4f926
+
+A = 2d983b5c3a8f2ece106c9730fd10f66bdb245c1203efa79e0e9cbd812027f49b2fa860aa500c2980e21a9e545c778815615e7b1eb426cbcbea0fce91eefc6d3416b6b941630ca5aaaea606fece9f79754ee6de7d757caa2f9b2680c08b75f957ea107cc6e046d7c28263a458dbc6709a950693269264e368d468a5a8b10c7eeb38c2957a0339636b55958c707cbe9093691a7b47f6fd67bff83fddca4d4f726f403ec0ca1389e556e5193c7cc98fd3ae09d6d11c0ad83c8a49659ba885e7deef0e6c52dd728c7544dca35ad7812a5f3439039dfac6db1c7688a5b91b560bc0e462633a53b438cbb05784ed4904da78
+B = -24b8cdfcdf5eb60963ee5b143293a3e25b3f18a66f7ab885835e3b01f3b8ac64897528ea6dec4c9c1e391d061919d15bd437717647924477a9107266497dc09dd3c8473af213177e96b9fe31399a6aa4f6b7a8f38dc12dc10333c3b6a5ebba5c617f13c1ef6de12479b94d31933789f0da6f51d7564418f33ddd01f8cd22e2deea7d772a2d8775b8f362835a37c76b0ac42aaf48dd9d1ad367528b467bff0ef059f7c30d9fc004dd5164f54e0f3d87eb6738f7f1e958ffbcb4722ed1a4018ae6e24c9a9e4707bbb3eb6755fd2195aebd98d629ee2977d5306da453b850168082b65cbeb8bb353ad6a8f433dc574150
+GCD = 105def511d8250125e9ef631c4cc5ec371fb03c57e5f7e6b9d27457ac21ea9332d04da023cbd685365caf405016a09075de4dd4d76ccab56c71103f2c3947f71102c12a67596a3697ea12c94b02b4b2c3330716813877c75a75775c668472dbf013d266085438490a97f0fabd6c5e3b9a7d9a61b51a0db58
+
+A = -bd7940d141f8f2c2b9a8771aa6782c3f1ab5cbfbb64e9504ced0cef179fa18c3e2e9686d2b51f53ca3f0ec59a1280513d68a907cbe449fd352e56acecf41fbdb5da3be225cfb7c93ed16fce95b3bbc522b4bc115b9605960beb910317054ad3790e1e3971395f75c71abbd5d1fc245113379e002e501bf095a214d9066264d60e9d7947e5a59e03126c3ea3cb9189beade2759d76ea0ba06c4982597268bc78096ac109ebdfa423dcdf0ac09ea0d16a5715dbdabbe1257d54ab6e4539ef66a8815e17e61df522e7f705258035b0a05513adcc8349532efc08cc184adb387d724f43f25acb0f5bd9cdb9c9b388d8960
+B = 1402cd8364115ce45b11aa799c576d6accb3927cd29e460be8980114a28d560941450dfa04c353fc90632f24eb226fdf1a3b8920af1d8adb2ade8e1613f4befedb1232659ff879b5084e5404c6246ca54d68ceefa49f969957ed43b1a7b93d4836cd0484c4eeec591ba0551ced48e931b4f04a10f3ac5d474f8b070117d430752fab4694241d98b09a54d1c137a6cb8b706e6d8dd239cbd239ef027b51f036a16863b110ad3917814803b6de942d2f41bf3f0291887226dca3a4aa7f1acb42022c511bea7180cc70cf9c7e694b63e6fbd12554113f0d4593662f1c10d5820f797cc101df7f798e38c20099b05d3aeb1
+GCD = 1716d462e788e204592fa74cfd7cc6c7287f42022d0860d9f2f678b0f183c54a7562aa74b5af92e858f4e6feb97c6123de9934dc101378f4be88eaeb05dc0544fa723b5ed270867aff39b2ae531ebd23bc22e444de9682409aa45067c5fe14d9550d18ec71cede20f2eddf756383b6e2269ee8c573c24495
+
+A = -412ae3f499945d703b913c31fc818b237fa4fbeeba620dc64632134f427f3490f4265e06dc912387500a6f3b8bd389348cfccbbdf34096959ba937f7e3c8ced1a5c47387ed09ab44ec5cb9ee88a6ae83044866c269dd7cdaa3e4cadab1af2201c95bc3aa47d2492e8f64397f4f69218ccc0f9968b740bfd9a020e6bb6f796d36e223bcc3cf41b6119b6a167ff883a19cf59168430e53a2407ae65c520d34c596af1b525f274be1f1e0f34d8468889feff5e3a54428d50662c754559681782161b15e35cbf11228acc2955560f5e2760b560fe92d234b634f3211d35415f7729d7f1574f5ada9c35e419fcbe7dd654b4
+B = 2c1b90954547193a4c2a5689715eb5e57139d1142167652237d98d9177669075371b249e1a5faff8fb60037d15dbd865acb5be7edfb8374f316ad411f07166e2dcd5b0bec5ded44898640af5e96d7496037aa016881ce9c66da39c749ff3d7d094a6dc280ac6016d0e7e6519675e2436605e25c0be8b9d62ad34a7c8ad694f198625bc52fc6f5933164da87383c3a16593845d6dae73b08284ccdb4c3e730711d37d2d69afcc52c102c2c38d8768855299ff08378e2e8fc7adbf8c621b4ebe7649610730fd9b9865078209413cc22ff3d3b1f8e5febc64c2d187f350a27c5b8eb96333d4b950e869d5f1d7a4437485c
+GCD = 4d8c7fe1d4d113e69e5e584cebe2f42a03faff4e8fc3f70e986b2e00271727d072f9a4371934f995143db2ec321b2502af5fe98a901c586a24156fff1a958d0c1431008a7fb48f779c7e1725bb217a9c16521f64653f8c0f279165803f22d5b2da8b01d2dd135cb65edeec4b1ef1e28c512ed02be13985ac
+
+A = 521f2fa1c832ae50091f1ece98b88bcc6529af62fb8463d01ba2c00d6de37a2099dd5448c44c5b66dbb5cb6014dc1efe94d37f7a18c6a86de1a065fb72e4e28120ec6491d6f8a77d90a4a5857fdb10bd5a6cfc4f613dae126ae70d5f8280556d0c533fc790e3f4bfeea54c27808dc8f6a2537ddd7f20a46a0b6a2e48a1e17c9f1d587c1cc646727da0bed31ed5a783da305425cb4ed7d20f7c6d8514a19a8624f503c454f2b738ef1c86297b2e3a3d28c545b2625a147ab7ddb53bc81c749db4e84633f59d6e7fcfcf6404721ebbb2b17992e4e80ec50ff928435fd22795cd8aa83a41d5ca3ad5c8a00db25acc0a9d8
+B = bfb846b6591b9514133bf7bd762e19d74a6ec85e93a83e60f8f7ceae7fe2b5599f720d534a13da48b9d6c2d0083e57f514ca9e269c68fd55c57aee6c6e6c8cdb132c3056220dc8a10c6e2a7397580abbb02f5d6bcb5b02a96a0bdb7fb76fc7244eaef2b473a34244a58786f09821563c4a0fd3387ad21099e3001a1b7a5e52c9ba398d51099f1541273a24c1341d51ed8c77b569bd9ca1fc66f4db5947e854759c9428705a06deb7adae92df9c9be567407c14f10e04333286f851213babdadc67fb9ad035c615b5e52713bcfc3911c2a1418af6698764f7ff6111d525cbbc74930be8c6e4a8f64f7d292848b9fa4c7
+GCD = 5bcaa8952065cffacf06c004531acc5c2fb89c9186676fcc8361e4f8c7bbcac2fc5479f910be93a1f72abaf1384857346c66abcf73a1614ac6226e5681b7f458ec6d341b4d81f4711a1760e4026f2aeb251a67c2c0ec8b01f503523aa113e6c0e3138414a37cdcff4787bac6d2749355ee86568093a6aa3b
+
+A = 342cd4a21e3bee4837c4ca53bac294b952a7a9fa836cc9690cccdc886d55322b37c9e846faafc205796b5834806748e5167010aceddcd383cf55f42d9830b980cb4a26c133e78e1f6308746c6777e843fa46c4c60a5c6015a338b51c862b386fbac8e6ba60debd0f27b126390cb2e441eb796e6633688cbf4525b95c2c44345feae1e8dfce6244fbdcac16a2dc533879314bab11873f716d32bff63ae0580cbbed5382ab5b1939cb0008d8ad61642c808a3c4bab5fcd30b6ea9067b83efb59549ba6ebf2d968c4724e533e54d3f9823c8be37a80c7e8abf2ae438ef7a90898d91c8fe9d3f5255a545a3d10499c794e7c
+B = -266eac6b3d6f05464364e85663c55c72f8b62b6968f1f137f7e02bf9d9b84fe257fc02f135c52756f18f57b92132f87adc604ca161e8acf309f571d569354c814fccbf1ca687ad21825398b6fda7edf2842767628b8d126f07e26f1ffe20de0674106a2e538197744036c2fd888ba5606ae86d34efa10b5adc56bfa688c532cede9e0946c76786de5fb277977d3e9a009e043a4ac265f9b9ca8b506c60c5a07d36aa372028fbdc7f9f7241987d5aacb4348865eba04aef096315e0c9dbe4637fe652dc8f7fd2517382fd04b075d6306f4bc10b8ccd0ae6c34c442ec4141de37016d62a99179c45a15f688e8a927f8d74
+GCD = 12188435c600201aef9454fa2fb9e758ac02ea05202d034105a7713f5b50c066d5495c1098e0061c59dfcef7375ee68dba4414960e4cdef8da8401478ea3c571a0be72d2156fd4fa8f787e64843ce5ffb62910a58d0cc01b4e8816d24dffeb0c8d97880f3048fdf4e244e76331d571bbf2c1061109d776d8c
+
+A = -13f75bafd5bc6ea46745ce580e10664558d811b7746c4e74efa6fba8435a981d26b54a6d52904b3e221c7b28d6e565d96c73f118e28f86fdc85c58b9825018c3df8b7a9896cfc0bd5b02eee8716f29ed8b5e5c9d48f8a413cfad87124a41abd329ba24b28032fc69e788ee9c61865021679b389d736584457f723021efa57483d5e3bef7fd1277cebf09cfd9af9a53bc22029dbd48daf68784369fd06c3885ccb2681398068046b9b6d6dd00b4757f97a61e14cb29f75c3b714884b741142d08297ff185005166dd4a0392639288260e327870df12f4080fd0dfc54a4207c1f8df88a7a312da291ebb9fcb2559d046792
+B = 1788835a5e1695b131c4322c9af94aed587b7e7094b7aba62f53eb0906a0d7f02f2977b65c6948e58b3cb7290df3aed12278a59bf618202efae29ef98a0a0787f2a8825d8126a540033974310070342a7f1c56db2bcd313a4bcab94a0f1831ba28b393f0a3096338168a5672154a246ebfbe9be14e096be38630a8d493f989f076179de97de6b50aed240d9410db59c6a5d3d72c969b949f0cda1b0a0b09989b435fbae08b6201cad5fa59bf53b0712075516971965abbeb3e6e78d37cb13c965970ceb4366d558ee83e1a69cc666acead68bfbb08ea37a4e0ed1918d58dc63403c1e997c3e1c30876e85722af8056d12
+GCD = 1ea54133b01807a50d5bacc9d0de012ad3054199298fbd7b797d6b4535cd1d8ec15395b603ec83064c51f9b95605a80385ae598d35ab81b82464f4960daa52c8c7120baef072aecf987051300f1a656e54a8b4b7648ac9f42f713b3a0437994dea769ecc0d4c4540cf89d641fcce72da2d54681503e9947d6
+
+A = bb5b75ab1272f8bb02e733cc23c2a1672904c7fe3795427d0eacdf5da2fa0baade10bf08f02fbb5274a2dc4df2447bbbeaee74b52ac5deef980bd631de315914de06d0c31d4584d98b0a980d2dcc386799694f6437210399814d1b654b0cb631091745dd965c399008aa06a2bcb6fac1c713c8097f342c211f2bdd2e30f0f009086b79549d0a36d68f03ec5ed5569e8337073ed430c319a45e8884fa87d4c960bcd1b2b1f77125bba061b58c5138f1447c4f97e61e1dee995381f200e9fb310cf04beeddfd03dce4eee17d4c6defd96672a5b989e15f4960f7a5e5c66ba6cd20cb3f0ee511a645f0b7175a3c6e767bf9
+B = -6cef7535acf902aa763dd7cdca6f9e6f3b4e30f948ccc7eb24be2dca79ba6bac23f63dac80ba078bc953c9be4cdf6a9d63370977174dcd4084d5a4b70d35d97af3f631285dd04306f568f57eccf2c4ad4bbb43231e57242f6bf67b71c70cab210bda66f55749e8053e6a1c71559d2e1c64a9f72a1fd273f108d09c7ba3d809c5516b0c69a1309026df287089e9cf6ce8b8b1c9c5329d4411812c23f52edf3e246188216ae3a0d2baaa843a0fd71f5cb9cfd10beff6d990e652ffc2351268fb3a0378c47d5a5a846ce84b901238ec3ff5ddca84330f32c17bd0205a585aede464260ad809a1214d3205ab693d3f23d45aa
+GCD = 389eb82ad2531abdb57d4011b5262e4df98c0590b57bc92ae83e90eb0c5434f6eb25f1ed941f6109283e3597e6ef01503b72a563e54105b20e366469620a464ac5b187b190805d59e0b4d52fb211d88ca8401181c2866a848ebfd18982fb342db1981892a6d5791c33a430dd943964060f4b8ea2597a30971
+
+A = 189805bad506a888d8646987ace5940be0fb07c212ce2696d1bf5fc4bfeb5f0c85db2cc6ed633badf296dd952b60a59c403d8373f884a5d9a3553667d28c796c5e3de0b62afdf75f5107f629674da51cbd039c3a2d312dc724487337b9d40ab4a1c3689b5f61eb9a5d18303514b3b2e8dddf79a4f0e1b52eab17568a26bede7f99b7077b1f60f657720ec0be7af63b6cec850a17f9149f0a9ddf85ad6ed9f33f5297ed0c90b09b9e43cb03f9a4b98ce125828faa462a5b07caf9d31f7fa85b96c02905498c19dd41ebd447a2661c9aa0809bb3d034c0858498ca2cf9b49cb65ac95f6644019b1d548bb8b034f8ee7e14c6
+B = -2cdd4f188d41cd6ff1b17800827da7c37c9455b5c7967f25da8373496f2c90e7d302c4cda5815fbf589fbdae0c1688ad93bca5af4b4a157c57ba3e7b65dee0de4e8c69121c52168b4acf3428f9378048dd64c43063ed02434f350997b456db5df5f0aecda1fc702bfe76c49728c7ea8e49126f6bf273f6007c87f18eaf09453db04e294d70659cfd7c20678de19621261ea1ad07cbaa1bec0baa6d2cad2e3c4a7ce183c2922fae3db0e9ba03dcc9a865aec8783f8752480e7296aad74e30620512ff8c7a605093b072ebcb1f7e4cef6ae0a0c84f3ead823a16e9d3c74a896eb94482a1e50426882f20de7f3960de859e2
+GCD = f7871589591a6022368e85dec3d7b00cf82d5ae5aa1e0d27478ea03dfa6eda890409f2ed3da2b20e4b8dc7c656a33135350a15e2b92cef7b73b73668534f1a63cb4398d832b096abae15c0722f161d622a4bf62f9ef3085e6141876cf1d129c57b66c2b24040ac6f93b81c37dcbe06cc8ee30ce864e48f6de
+
+A = -184d1912e5e7a5bb52d472077a5f5660ab45f3f22ede211781e48886ad134d8fe92999a507a96332e24cc1e6b844e06c72d6d2a7c031410045278c4e98116d6e4eae5cd5e20d135c2747c9edb6ed6c54b002eedc344278ca3b31a4e5d5ee991dbc6ce5bac07f409b0644acab4b90d83f2875b1893991eddaf115343d519c80c2394950619c5359e78bb900805bc78e298129b1ca826103f1d70512ad9a92e369d9e8cf796a21a783b83493d39186d4490ceac9dee529a48e33839c834b70ecc4743062e68ae80bc1547dd624246579d3314dc0baa47850c9560b3cca9abd8ed57171a109b9aca03a4622e215124076fc4a
+B = 32136a15cc09b55b8377b0f87fe1541f195880767f2e018f463684b29bd6f8f47d6b06e02fc33b44b986f3a1514e40d6e1e755c5d07d28c857a0105aa26e6218e9f28de1dcee56d84c7710a592b0a9a442ba0b270cc53cb85b75dfa75b299e6f368aadc67c866f54449c704b50b355340ca9d0e33327da83b516b904edb37262c0bd7e403b9e82d2f023095c0c5cc746613b5e432e18769d62b4338ad22c4c727f43b869b3f8ebd3cd16c94585d4d612e9fcd8e7da9c466d7e09e9a60073552bef52dfafd65e92efe5969bccd241901114494f550da7076d0284d3783f3544dfd2bc2e117091f2d60c4b58d1cdf6ef9608
+GCD = c6c56c5174e4f790fd73e3eca9b47509e9bc836d32b5c9cda12615c20273010e4d35186953f53c51d19d6a0a3629bda5cefbd26980f17f8fcb339a028ca4ad59e355295a90e61028bbb1ace71aeb4267ddd3a783fe3f14d2768b086957b3ea750a6ee13b4a7721b6518cfa3ad753d9c5265fb99241ac7656e
+
+A = 14b8783be74925a07fb0d1c23353d9e1cebef26fe0fe594e4b995b64d2b5c0b12f74d9442ad4414fb9f18da2680500b199372d4e3d503830f5ce7d5524f59d9c6fe2673e8403f3c6feb2bc0f33b2c15ab9d01f08c4da8e51b4c8d0e27f58a8540d8c783c88bd35e1359af633e48e40805e1e007607806291facc207116dbc283455d4334fe1e820a52b4caf20ce3adfa08c77e7114ac50634f8aa2694a26612dd6b67f741e0c0afc6f58580b66dbe49f2472ba2aab133f6f035233341218e374ba37b195c7ce1922732f5e09ee77354d9c29fe086ac78878710ded8e49bd7c359f916d44dfc656f2762c567158a0ded3ccb
+B = b8b7770770458fef314c0ad89280272cd482db0b9ff04e6a66330b13d38f3ed546e9764875a0b74e8dd3b1d9c4a8b110d6e9b2d1b8a59893fbd373e86b1f5de59c3b8839c21e85f2698c0c75ec145ca2b82679c27a706842653fa3662fc906fe8b4b9f34db8d5feb5fc247ab8b774382a5db82d42fd8f3284c7b396704d8d9be5b6a16cc220db334ab7df6ef73a21a35b3041bfc360480ec06cec67746eea5958f629427ac690c93033757fd8817087b0c1b86228ad5dc68b3ec5609f50df456fd7aeaea3416ba89e95d4b78c457d63741ac3cf31926cf14039fcedef82009a58ca6845c7313bb15baa492993aa1858c76
+GCD = 1e668cd8acc5d0053370c5a4e84be9233c8853d7a5941fabf24d413eb5e5ec9ea8d4e177d4bc7175877a773f2a70098a81eb8e3be7d1f8ec7b76a3b66ae467d80cb9676cda1d651e51dbd1febe9b713c83f31ef11ebf91691dbde704d8f45611754afe94a986d527a8d838a9e0041ae6e7869f17da3def9931
+
+A = 583bb10ace4032964b5956803080c68517e0fe2063abb21fdc96b9e47623934e837548326b4e26f63f55604e3d8317a73ead9bf237e09dc5eb98125c5d538c7739e65cc0fb0a80c9faccadeed3f8462629cd0a53d20308bf7a4b0ac78dbea7483a0895d15446081918574bb9658bab94b8c6ccc8ddd9443e16917526e5515133d43239ca7cf1e6d2842f397041a1629ff8cd720bb73a4926b22dd0e97f03b1ce2755632668026e2f4e3866556b07fb5b8613ea758eef61f7d188be2aeac261400fc94cfb421de242f83772f7c4ab91c62ee5561dd54638db6bb2762a1e2af40fe55d23535f1140a54cf00cddca11af8f860
+B = 34222902b4eb240e3b6b01ecfb4139f7c1200527f59dbbd72e9d8e73e989b4b3a21a0f6559fca698b3c066870bfcaa0365b5b905c3ecb04e0d008f46d235f629309dd35553e047ae96997b746f32f885eb87730d797f61584248266a97b37adc067f68795e15cf7af5b25909ee51edee7dc03efe89c0d704048b4b4766d0dbfa0fde6316317cca0bca806937782d99486c9fc4cdc8809c09c04e776357caa5e061f40830ffb01cf575f6a4a8d8b4ddff100f52ce409d7a6520d489ea9f6483959c88cb05d787693bb727cfadf05ba3f1d593f7e65778980eff3621a0f93dd1c79d94c75fb640c79ede9b30b03c3247b8a28
+GCD = 33643f51a7115c978417dffd2004b660edd6b2326960d0fe3ee7b67011506db769c35ac9f28599b6d220c58cf51137e8b382236fc314ed97e54e06efb58dc198339a07926088fb5a2e598f50b0cf50304e3eafe0ffcc0cefba10fb459d3583e919e0797d4443b0c5c1ad05ed5a437e28405e7dafa81e06f598
+
+A = 18e6777c879cbfa88aa063feb1659d79ae3659a5d798f5bcc8cfdd5de7e71256ec2d90ce65140749a6ea7ceacca7258a207a836ed6f44e7a76ef20e0b8556060531a1a53f6c89286002ced71de78b23a657d8b4446b2f9dc8a3077d850c29c9478c3c599b579babc7b4c21d88eacf4b2238f78301b66e8252536e3c83e9e4e9c52b50905ebc8a07bb6edc9d0fde4c4543951ed676ee6389a88a1805dca58b1824a667167bff4b75173bfde062583f8fe12cb5ea282533f2a0b5f9733f988816b682a067b2d98f15f5b003b258f85f09c473280a7d5379027f4dc5bc7fb722d90df788ce626f4f88728ed556f014956ded442
+B = 10fe850f6cb20e1a14bb4699a53b014347d84e1b078a9bed4838cd91873ed767f43ef5120e0d088c3065c041ffb43e788e4532c9255fc9cf315d293900c18f4181ce6c5d18392996dafc6cea5f1d70986fb2fc1036d2b68b333bfbd190fc359cec72acd0d25382bcf189af2991ae543d2744e9d2992b6fa29c14267cf6378ce172d681630c1b792eca740ce843aa1a05059021737e9f864d4653329134bcef0569f1c7d1852ed8b22f86d0ac4fef85214ae81726ecea88b7810a5a946590c4dc3348204baec25ff2e59ac2f90b755eb5838181d4db6a0d77abe9d338f8222d6ba23ab724e815b8b8c08a131773e52ae2ad0e
+GCD = 6a3860d4c05dce55b41f3f19dcfc26161f6459ad3ddf161fcd8e931d022d89df1a1aef041c3b5324ca880f3c5966f8bcc63cd79c74198c9c6fda459efb8362ad0ad1ecb1f9fc9353d46f881e3b38dc793dfa2021fcf79b701834506ecf9b23553ef21211211345c13a41db522541ffd20b1bc27fa4c143dd1e
+
+A = 34789df833a4422e9adb9e8db7c706af8d39a252830f2b1760aa677c532dc2b92aa992f17cbabf7ef673dde6e46d46395421540b03288d94cdf97c87262f42e8cbcb07afedf79e269bfbbcf1b36375d46c841a1029df4531e883661ff0c24dbff0bc36df64a329afa5dd54830e2692620b7ef8fe04cff0a0bc99276bb782400cf7edc2bb2e566a380a6f9ba12fab753ebd1085ba40cc26c07d02895795a25882c57973cb6a65860d27d357c6d70e85498c8c11e3ecc98200ce09578b69c9c724abb51d4722f647f9d3dfd7fc79f771f5091bee89bf458570121942a6f0df4dc01dab09c18db361fbaef8b4dff1461076ca88
+B = 521100a09d6b38f256ead652df3ca43815e94f7138e0923aae22d9dc90ab9101dc6628679edcf7c747829d57c27b62c3ac4fbf97609838d309c84ace4180320bba6178d0221f25b555ef520c1d3829aa0054b5cd1d60a372df855a5d88741123ec67a9ba151e9eedad28e0439961cce73c31a1900ce6aedba344251c5df9b1fbb536961b1eb44a0f159ac47058e9557e12324c9a90d7df1f441d2d8595ec5f9cc8041d5086d42c1b376f19a327fb9d02b9f75fba80f516271498af7aa44d7a3c7e219fc93071939771795d36cb4235518db81965ffe760043b1de885b8662fa97c279400ef564689c83cbc283011fc1d7dde
+GCD = 1a32bf839a0c1cace8996403a20d76da5458b1d69891b3442b4ab2abe8183428d6955dad08bfa9997a4770fee07defb76f0d44ce81383c551a7bfd14060c8e55d36c7f3ffde08a62433d114da74b4001a07d7126e7790bd13e565e75e2d71fb0359f3ca22248a5628ba0d99a007ae8cae70e559d65756bce3da
+
+A = -163979bbadbe4d08624685cc3fb5038896df186bc8b31e56eb15d59748e27fa3cdd68368c279bf501b57848ee15a11b71f8c95fc8ba6989bbf7fd45fcbba0cd1dc458fcb1c2b2581588de73eff27e7cb0c0d17a148955bda62e07a0a37caf0fbf2876577f24c2e924c7de43811973f240fe8090c8121731aed4d186863f03a17cbb49ddf48c58df56635926ac7813f7b6ceabb9b1c6f3af0dbaeb218edb5788ddd866790a33fa66635b3e38e50ebaeb7fe82c2fee7460f9042c625af314f19b437eb77a8796e3c42d162c36c773de3cee21e8639e7212324708c3fd2af7b0712f80e5d3a079ccff59b8e67085bf8b74565ca2
+B = -1563e705532fe7a1007a723fb888f62b18d963668f64a0ad76aab22ed27cc854959b93f68af219b46cfc1e24de05d36997d208290becc0abd92a23b505f42ed60574903740fa857c53fc706f8f9bb7217aaf8557cd8ed04acb0b628f512e0169b3adae4b4b17faf8eb4bb77080e5b8f78309adb04bc35f3aae94fcc9385c4e9b39cb2c442d86890aa3f079872e99c591587a9bbdb364766e2b79e901a941d47cc14a3da23a13408095800a4f9e7962561f46f7dea3c9b01813c7524a5980839e7b1a110419d4606baa55ac1ccd14b791b7ae513a8a89fccf4e0dd5e25e79ed6223f1ffbb9e8ca99dbdf249049bdf0b01f40b4
+GCD = 1c8633e8d467c40dc5ec4748768107a786110043902537cfa081baca652014befefe4bf0406f16d0754a0625bc3b0303944594b1f0f2434cdc785db7c6be8f2ea4194f360206b3bfca96b81b38b036bcdccfb3df400c8cd6cf853264d577f33bfed6a327bcc627ce3946858c67ac537649c2b4791d03a89d7d6
+
+A = 1017fd8d5cb35f27b8758a9d558a168cea02ba7d1edb4781fa48387414020e5fdedc26404e2517d5659eb9ec68a750248764d5ec6db6da948341f981b690953b1220d58787528e50f1b7642938e7e9045dec1bdfd60b2e25e52feef634a27bd04818c5f8b4873afa9311f28cce262aab6f672f188cd0b10e13a082582e51c249b4f93c8800b1b438a9598fde7f5b101094ec4b2f61b72e0d4114732894c908124724bddc6ceeb5d0ff0956f23850f19a108a4c147565c6d7e260caafe73ddd9ecd4bbe6a02db6b0e7947f6349569e83f275457e935b0fcb04d85d5dfbf50b660895d45101a0baa71cc988c1d86a9804eb3d16
+B = 3dfea7193ee191dddbefec187107e53239517c601cbee0bf198c37604a66c4350a012b738620d70c704552cc74b0be6d1c689f04ce6ba07d99c201983aae7b9a09421910f5522460fee9d13fece90a859df2066e2edc77b4d65811e56f17ab1679f78a3edbbd6af94b92803087e71a14410aa143971052c052a1513ec86364191003112c45f9e04d19373e94ced9425893283e99684b8d816a46f9bb15d44c15b53429dc93f2c47903c536eb0a71d02e55086b40340af5584cb35dab557845cc3f67c80d9ecba4b2731202009ab27bc3ddb134859df51ffced2463679008ee2e740cb37fb101511f51298cbad5963897beff5
+GCD = 3426c6e901c7c93ed1e8fdc631827a3385117ba93d49ae53a2f18f1bb75496e6091e15a84b416941ff7ea9d6abb442a537913d211b36b9a5eb77c7174c0979439d193eed23fc532b54208959db652914b631aaa21e8ce74110b2bf128571985042b6fb50677013f63fadbbdb973a7ac5deba708d7979802d221
+
+A = -7a80832cb129929a1a44e0a9d5cbf264db00e105427c34e5759c0ec01f7d2c8b86f7c3673239cae99f0d2ada96e4d04c743f997d1c3703505649c4009ba69b118f87848b25f5b8cd6ebec196030a51de4728b8003fe71fedb3e93b7b70e5376b154b89bc4efbc3df143a594c791b906e258b5a39a54fd892e87826239a5875e7ffe738d92c4b56642b59d2bc63007c2a87ae8fdbb2c46eae8121157aff6dc06475086481cac534f15d939edded0617c9a5e585301b0251aca7da99411ebe5a39aa90b2ad78832483394fc20a026aea57eb9500ded2424df97a3b32924a80708ec8ba218a0697292a57aa948191284e75c8de5
+B = ed692893d0bd3e7b1c3ab12946b4b38ecdd761fb42ed63308754b1956911c212e03cb4f8c81f549bd37a8b59e5b7fb38266a6f9397f83e8f66b63aefdcf27d1e30d386f07e3e86ca2dbc6588b02ea4fb8cda2cb37d3cd75cd28ab9154ff1fda5a2c05bb2620350b3d3f17cb7e991da2987d25a108dc9d10f5019ee9e2d588abbbdaa0608b2144876c5049c1ca00103e8855861fdd02fdd8b0be96768c3ba50fd1866fb5c4b1d7ecc819244af3198fc68351280991dbf077d1096cce450ed0b411d97d6a7f0ab040ebde88f20f8eec3aff9904779386cb1117b5da2090aa60de0f26f3c8546193709f5232705cc80d28fbbc39
+GCD = 44a20b3ec29c0b777e1861c53a9a89a29ae1402ec341351d46233d4930f04cb7dad56b37d43b9d7a91a8a3160f10576324670ebcc22e0a433a912fe355372c6acbe811091e8769c1697d6ff363c2cca7a2875027ce6e36a3d2d2f55844170e42f05b88ffb792ddc72c9411f87077a1083228127551538feb95f
+
+A = -5997ca5bf11ad822c7f392aa2f9d107d5dc5a2dac0962dec1f5b39c9e9471c9ca86eb4da11bf08abcdf3585bcfdab2345e1b72085826db1be4305c30654f22d7c5ee1656c72825ec8a9f5442228d6ed65f1b7fa1ce601da8cdb429ec820fc0aa7cf4ffd5421667cee6e3d226079aedc1b06485fa2be5848ed306848181180bc25829ba96f0d58d1a8bb9faf6963dab15e4f68594c949855eed4afa10a707fb5a349c4c2c4215664ce08491dfc4b8c4b19b5fc7406096248cd89682d444d1a9bba38ccb2da4312c60597f0ea4217f8e0d670dac74d985f9d4793382d78b532024ba87f63452dce34f8fbbb2815b802c036e613a
+B = 3a4ba0191cba8bfcc18d6f4f3ab45d4267553c69ab14ac373c32f9b508732cb7ece15c6d93a27228573ba808897be72196582b7f6cd088fa56e801f73eee92dcc066de5077ead02d95a9e9b33550cc75337e842fd055e217bde8d881b39f637e6b571f5f49da09c839fdcc43d9853288c0dae6dd20ff2fc5561a1be56afd2a1a767b18af0be08bd00fb042629bc8b65368de6ba7722179b6ed1e97f8bed3d344cc7f7ba7406cc2d9c655b8ebf4a35fc5d1a2a63155fdc6d510aa0eb4f3947530d74ad46a5c809b29472c9159f9e3898b1d6c049e692243111e53c4a468394631daecc1640cc2da98dd4bba2e97ea836ec6b074
+GCD = 23b5c1599e4297f5514d2960edbb132a60a0b9d82537e530f3647c76ae92de592eb446a0a9fef50ab6201e4db8a77f253f449d7fbe916f3bc45c18f6d2bf1cce1f2176964612750382996dc015eb2f9e67ce426a25a155d1f8c6f59ec65e33d1dd9773e90f94db939b97e2a1888e468f6cc57b5d7236a9252256
+
+A = 72470e00156eba5e1878fe4f8d45a181987a702b420cd31ad92777d8fa9352685d93bdcced6d11b075bbad00aea2917dce89fd01051f0a7c59615bfc6a8976c603082cd0b393f3a46da520d957fef9a5cd785cd3496d150b95c6667d8d0c997e572246d34e9a840709635d8e8c49b92bd885f26cef49efa03f1c258f18796631d8aab0d3a435e2566b81b742698cc732129cbacf9c1f9e46ce996c0c61c3f81a870b95ea3d4146c5721be6b8ae0befdf2f4366a689453acf1490ef77ba3b1da815b721ffc381b081061890903bea3586ec7e3c5d2041db523c3fcda28fd9e63077754cd143a6dcc0d7e95364e47c65b7b6c5b
+B = -15c249bf0590e98bcc88b7fd2e899c442c5b6304257e931725593da7718454c64d7fd68dafeb9cb45c79a0335841a214ba0677717bfc32baf46d09d82913d64c210b1e50bb2668a903e23032fe7c2150c0c32f78d0f7bb7c424b3f681ca092f30cf7a5cf577fe718c415c2ba35317d791eef44e465377e55f39204ec4a0c573a008ee880053d6cc015292d1133677622b10b7462339be977374e8096f7f52d6b4b3e30c20a42daaf25788e61b072a6c5f4a2e5f8bc16dab400e6b6b30461c47f0fab47181c7a3d09da3b705d1a32bc87c4ff32f08da2c4caea914fafb7f97072d204f3801d643062f6fa4b2b78d9699b0d56ae2
+GCD = 1dde625feedcb23e81b13be86b4e8d051cf548f9264d2107ba5bd6b86dea749bdc630ec68d272146fbcb722f44f64477d15154c64a9b7093e7d38d6591401389b13946afe9d90424ce5dd079d047312389186c2e216400ac78a80f082181de8a9ff0dbd1a144838478e5a8a4e4a9f2ff8625702d887aecd67879
+
+A = 384e80968a8064b47035d52ae60255ee091789dfbf643498d6af2425a36fb8c818711b72ad17f1d0b19c682a726a7f7620bf41b61563835506f5e0fb63cad7c9bb779a7c8e50a44a87ffb53c6ebaddf60c510dd90761978ecdb2a1a9197109220e65c4aba6cfc73f69e56733a64eceb3a2e1ea060a0f1e61ee40524b028904e4e00a2c4dfbe51eae5c02d0bc11d1923a503e2e06aa911096efd6feb75f17f870b8a201aae68eabf23e2dd27cbcd0562390f6163bc73ef514586a190ed1a0629754b3d4679ad0f70bf018038dbf24716ccd84f3076d457de1955db88217b3b3493f764c2aaec7e3039f14a07f56984af22d807f0
+B = 2a76529bed94bb1174c60d5b8fda44af805645c5d222d68735ac55a2fd4ec313fdfbad2034e308fdd22c2f275199590b3e8362045cc9833005d303367628846b5bc55eaa93de58e919cdf8f5d7caa61b2bdbb03eef5f9c448d2e10375bc7a7f8b0828bf7220b64dc4a302cd3c3c5715ddc01ce4bb2206b7186a0f918a3e56d5b581c02ac5c97ffba587f7cab6bd87bfa765edf1ba77440e67e43b09ce35157e0e031d0f64570b54d09843d45021aef75cdb16c9f184e0e5598bfd2d96a1cdfcd194b7746c84a315afb408e25f1c24369069c1c6f56a4f8dda9c5da77b051bea9ca6682260d12859af944b0e56991576692063a0
+GCD = 4ae7467f979b4891e7088de3f2580e880425f8b12f3897bd77ca06d06ff791085b4db8ac1c7e2caec13253c344c061693b1d09f97a51881eb2e85f9e33deb48794dfcf5a62e19258c2d7f6bcf390505bfa69e85359ea991e21eceee222e2a0604c33132d824616609a167cd93bf2b12c035d51edc5caf4c21230
+
+A = -16f4207f86fd2ec8f63291a6f6fd7fa7da587052962071251bd0f8ee6cb32fc07aefa9f100e7c308f5b75fa507b7e4fd4d14e24fd073f3367877e64ce46c56ea65aaf68f74084dc09257f1641350b38d0930f67e4187362cc3b731f77f3ccd60a261c4151a815a8714265f8105506e5e075fb82131bda64d8f46015c98775c4c77c8695d1307528e1e133d1e0e2306f6e7789530f089632e6ff7ece92bf2a553e2d0c3dd45ce4a3ac2e763bbd99830792edd5c2a34305e4e8f889de59cc8d63f3f2ef96eb89b7c9ca4fa7f1267a0f7cb1f39308d17534103e89a403fe8be49ea4a3c46c84252d9a5eec50b4a5bdb6ae927498d63
+B = -6818ebdc18cb717eed0dfcdb81a1207c6f067c32bb4b8b410d0855e1b96e70d22b05be3eb462319419c6dede364bb2dac98c62ce7cc447104a6d3474628ccd2a0439c8c73ed44faf3e9662160cd6591b51dd5b6736f0821ced838200f5a21850852c2392e65a58fc7d40295f46391f48af3b0c0ca04eb0b1d118187391cafa117cc316cef2b9779f3f417151ae7536f4271cd4fa4e74106222c3294beb626c21c00262964f404c409f7226b701f744f301edd2b4d01cf2a3e107285c3bd669766e10fdefdf96cfc1b5335399c9187bc42fec3be01a769c39b5417458ca82878ed875b8a7d21ed4debb71122359e2e452391036e
+GCD = 7281aaf204c1ac8866a48ff86eeba8e69b753e17e9b7d372f64ad7dadd2360f06e5a960bace4f8e23d2b2005a6530373a6b8557e885375f2378b1589f57f1ae5b059449dcebcd91c9978169975aaa32664404a52ee05f5e115e073355f7ec5a8aafdd4030a0324c8110c0c48234d6c6a7adef4ce057bfc6c8483
+
+A = 29cfd25415fb471a4e60a18c729b804637f53057af3d708735eb3a9a0bebd41d77c158b4c6506899366e6b6183830295ae3851ada7a459c4e171dfa200d83490c396e4cf7f6e8c9d54d6f49a9f6e2eef69c8a9ab8aec8d5fdb17669906af0be4821316101e6dc2480e03ad8e6b8104dd0eeb3faf0bf65609ad103ac43f5d8dbdc460f48199a47073f66e2dd33fd05311fb424a5fd81fc48d4073492b27718927c2fc02b32efd21dd5694490a88f43e7e5f2bd3ba498d53a6395d24ad1121a62f76d23442ef2ea467afaed2038984af9a6dfe1925760e7ddd4a535f1342b60778acde2e317255fee54ff7e88f0b3dae25e8b5f7d0
+B = 18c5f8cb81371d749cd85a869bfc4b6da1fd988e629adf8b9f9e3ec77150f7f8e35b9aebaf5767e1f7802fd323e73e86178445fb3101966248e0d45607c251c448bbc3b0d5aaec5c687bb185ee1c09819671f0d4c449409f351483e94d757e563c66c1940529f982c5cd180992d10a8318f7f54b0019c0405f57842726f0bcdd9497d4d68632664ab7ccd44eee532b3662e0fccca27224bfe222e8ea37d3d0fb1029380ea67f67c26a5c133afe7a5581e3705fc24b4408817ea455dcf0549f947052d91c441b454dcb25691facec66f8e3a886041b8a932eb18792bdc1b190ff695a1eb2e2400265472427854656468bfa121e64
+GCD = 1165812c9b00faa32967fc6a35674c8410c110cf24eec4a02ab4f6e44e625f4f2c30170e9e111040595d7429fef35349cc7d7ac47c4d22aa636ffbf39587cdb6a5db80bfda515b76e16ea887d8f51ef5106f2b46341b89bcc236f0cd4f6a7f2413d95115cd884ab7c1f57cedea01449e72841fbc7c3a07cbe797c
+
+A = -97d2dc5ee51fc2a949d83a6caf4ee84ece160a0ca368c6f5c01817d0e5b9e512fada2e4969649293b90106c4ca44d7d9f729ca1044560337ec7d597f22df82b911ddab0943b7d3546857637279211b748d360f7df78831de0948b3eaa7858e0d340d3c88493e684b2674a07212e33568806aef9ad69a9779212dee3951a9120325ec8d94d599c62f307b352e8ab0a21028d7030696968850ef0ac4f6632af0e5743a9a9bf3442a2af053b2ac7a2f7dac171a2bb355d060ab4b71d5358ac35fea5bfde10bdbd3d41a205e2dbb735e9ef6619b941fa71732e041439668b53746fe5f37cbe66761a5464f1c832bca9c1e18f4b8a64f
+B = 169dc83c1a986a0e8f03dfbab56018e50c21c99fd9fb3c3d2e550eaa214bbdf49646c880453b7b24f87033250ab20438d2e570e2a787a2b00800f71f1bc7f399964a7a64d5f178da59c1e6c2533f6c4968145886a06b9296f6a93335adbd3797322433cb146eb04407e0a36c56e690f1da5ede26410cb50c4e469e816ae7dc12f41511f892b4327450345ab74f9755ef5a1182f89a9074448ece46978c5c12fe61a4022d1b352ed4c768f2304ea5b5622e5c31bb9ed7aabc972c560a333a86ba41c8fa803787ee8085c4585d1346c6165a151a96a8b2d9502d82dccc32a5aa8c472b8d91a9486457f48665f59f88a8464f90e7481
+GCD = 1eeaa67dc52b75fd2ebf04310e25e1cb51f8218d61310fe40b51f5ec981d9605ef0a558a5912e45a8f1204f5e9c7cb9445527fb8e975426ccf7e73495deb00a02a7915fb98cf385b4b08d3d0a50212321733a8088d5635ba2f625121538316bdd0d60690b5eab3936f55e41ab154ddc7a55fb845e4545bed59391
+
+A = 56030780c03be379cc6a1b64cc45b954f36eeb201f74c3f7b23e42c68fcb4bc030dbc28682ea56f3f8c69cdbcd8c14b12d12253aad0d26a713cedea590f8cc9178790160b80e4703736a8e0b9e84364ad5dad25b4630c33fe60ea966d65af4aa205c221e6aa4a246599528f14200cfb67043d808bdea60001c7175870761ac95088d591422e7a8f235c501aca8d4e88d5a0cc380d7915cc8e5dad2b296caeb2a34c7107f5910addb86df6322c1acd5826edae92698aa84e54184891a528e28d60e4809c336382ef88d0776791c8a5c1c5b7a8aaf77394d34c3d6b29a7be52810b42d17139100f727bf9e2228d358386b177034740
+B = 318b1c18bb131d73b2f505e2f223667abaa2bdee0d8197f8ce458efaf74b470a1cf0cf30b052d9e71ea10e2ce97b93705b7225046142e99e0597e7d7002f296777f37f08b1354ccbdf191f60028ae3f5b833a5eb6373bfd4fe6ddad73d712ec95a87278095f2f35ef7e9fa46e379921b05db69f34474bfe03d834db03639678a271a1437e708f887630315595f036b2ea3613bc1a2fc79685a84b7bea5f6812591c037243f2946bc3b48920cf5bcb1b967eab8b0bfd1f66cecd7c02ff9f09b906f4c05f727e940f7efe79d7824d78d262093a8bdc957cb73c4317a74fa951c023f8c9100b9f8472af46d15bf0d787977f1f3f68e0
+GCD = 7fdff20a53bae9756728abe67d783fdddf05acd71c9e3d51d4d0dd492de950fac634f8f7de635539eb9d2e77af2526cf2f09580e568fc4d7acb5a306c09caeeb0243b96f77998c92458b757b15d17473bdf3e90dff7194a3459c6eb7dc5ec075963b21da313bc0b0abe425751d49f803fe9aa86deddc4f6909c20
+
+A = d94cd11d2a93d439eb826087f195aaca42b0b9457becf1c7d648d0f27d11d5f3e64c93be955d129e7b36afde711ab97b9a5f3a4b209bac91c054e6bfd11470b1e8454ebd6090dbbc113d2f5a8c983272ce4c1b93c4f20c161cda14113ef2ef3cab9e1520dbb1894d3c39640e312ea04e1e3c622b9a29dcd0f2f0d42286cea76e53f22c464f39a7dfeea2898b9fb75152032897250e5fcd85722eb8690e1302e5b7fb475c741bbf2a0ea6c57cc2cb61bec83313a2698511a209cb69f0c0cf590806e15bd55e41cd7affca36cd2d1a3f99eda1b8e94eed96b4b18809ff98705be00c900342418b2d1f60fb0bbe7d10f1937897f30b2
+B = f995dd7d4cc178649ab3a418a536589feeb28406aa5e3d96e4ce9df5b392094737d5f8637b19d9946b1de540b6526b52b5980012910883c046d0a4be56c9fc4943a7249617bb45ff11bae3a497fe3b0de10f9ccb635af35fa21b0e00bc778a161e07cd8d552d71b6fd6f2678833bd593dffe104a00dcb377c133b115ebe2477a128d30f4d07ea73c541c656aafbf6d4442eef998cd55fc6b1f457412634a365906ed988483aa9ab684cbd4589a5f7616d84b4942e0f6ebeb9ba4e2807f99a691c370f43bb6adbfdbee4d5d474b9577fbc8b46791a115b0f27628997ef225fd26838bb9ee872605845e23b08c2bb41879c04a61794
+GCD = 10da41d390027bed1661f01e09d4d8b3db2bac9993a531d5756c999cc07df488c3cf3772dd2287a56eb5c6865e56bec0ed991749a4ed50d16d6d4d741c506f569308fc2a3c7ddeb908889e6c92e78d32cae7256ce49cd6d19e4b81aa5132a2f061d6ae9bc44750b279a5361a4dfadc064384f8f4c4975ed7499c406
+
+A = -3df39100c5b407c55d5ff7b9c9c916fa195c722bb94e062395cf666c36acacb0b7af94d8e41645b0a89fb25e0f669ea70416d91b5c5e7ffa7553167c23515e0ad57ecd4a7bd109cbde876e01d387dc4980e52d370f5e63828f9a002b7762b49342420d9f82a86dff69d90aea52a08bc3e458be2f25719bd41bcc6ac959075687f8a2b4242d3f890c3aab83f1fb3675e5041fa90e202d1f7d38dd296ced17ded8812e0610884954d23acabb83e7e10a66f482230d3b1d2d5499239bbf6f5b79d589aa289f2b608b6db3caa8a527838b58c67648dda45645d550ba7198b8107effc92b7ff7a73ecc6efe4f4e66f803c9f8ba8ebbe2af
+B = -20cd74c5bf7860fe7649ca029fd197af9ee0415850870f9be6d8498d4651ed432534681fef24e93f8d8dcc10eca8317214a3920fbe1a0c96d0f9bfc5cffca9c8ea00a33403bba55e40c5bc2d38392adc19f36d69af26d9ff7f1a0fab8c0fbf4b9c72116aa2e5d581a0b719db3efa14925ecd3d5b3c626f266e022e181ab968a84012aecccd64eb8c0f46b4af50f0d2f2305d4c3887ceec9cdb4e6c40c48995cd10b49a9e6eb2bf57a7e830f22c01d00e0a7c4b75074cfd7867f8af858c791990f897111638fb50102bd6065c403559d46dc7f5214d71a86f0160617cbbd82a81c1f0ab84896d62e2c95733c3e58042b82a439fb4cd
+GCD = 96aae5ab17bf62e9806df66b53b142c93d7758cffe62d830ab75ec3b606f25bee4238acb6bb318a734b838286d8595d11d84acdd91e3d139e132e38622bb69880ce2a5679d9cd5aaee8f7c0f27532e7689cc9e283bf93beb95b3177643204b81b76a4c03f2e3ff1798e5f8ac9716868dfc4b728b3a139fcc26535
+
+A = 1598fefb6de3ea095576e4bb9c5aa21581c5cbd07977be6c8bb11f5d090553d88e7d9e1dfa0cd2605a4ec04344e21aad6398d8ffaa243ac47d18b3bfdc39aa1bcc62919516c285f4c270025a38c65916af539e2e9f85cadd5bddb356b03c450d70c32528ad449dcc42ff2bf2d3269d6d2ab3f9792af69ecd8161119dfb37e53040eb1f4ef04b85b478db0547c63fe6a12db86973671e36a728d17e7efaee5add9d5bce35270fd060ebbfb876f2d75559b327e9adf6142d74eadf3c106d4dc9ac9d2bfae3c65a6833a7728cf30456b570ae9e4232569a4788574a5546ce0174610a2ad2fa739b6cc8d531a642af15a6852398db70c9
+B = 1bb8c6c15ca26e0c58844b44bcaf8eafc0aca6b0b324d8a33e24fc61f02165c9f642eefe05ffe2377af7935551520fc0ad1a75cce57417866a753c13c726676662c193066e2b012097a781a5e41554f4bc260317f378eb6336b5960b62fe66e6cd47dac4092ef0469f62f43b2f6ee1989b4e63f035763cbd4fbee4b490f1540813226c8ee423b40a028626444ff9c0417faa57029c61795d1f080fe81b40532ec10de84377a786475be0c025e1b4754cd59d847e4b1e535cb22728239039b5ca3fde90d0f30fb2606503d19b24a513a2d653b05f2af9224c51fd2666dded815e1d8432b7d2093398156941155a8b3a737230aafa683
+GCD = 58344ae83d285583bca65018029c3d7f5aa0f867d4bd4c00438dc9d20124f7fa23e1e67c992a071346a60c4c89d1c499e622a2dfd7a40c09eaf0d7d0a452e85d5c177ddb312e55f91eccc6e6c332d6cfba9b7f39f4c13efceebd79c3edc58faff5c7f4d891f5c5b9a0977903406c9ab157af2d2ab9a2a450dd5b9f
+
+A = 2ea36bd4f02e5b8a759792a825a953a1c1d05e3b436c3f1dc39fe7da42098d501cd25ecca3f383e167c33b76bd390d6d91208b05b856cf4364adcf020aabafb8db943a077b74f152cd06c2a6aed920063fdb6fb9a5ff7f66ecec98d4e4d2e6e2d36f22caa968f61dc2b13a0912ca4c652ec559a14f19f47e49d3babea9a45e1f8df10d5f13dabc3237caf9317b00ed3a9841d91ee2692d034e39c05f8ba3283de54e580e6df70b3c89c58c61f994b483a8256fd6d9d66a8ed249f461712fed7bda784ddd412d04129fb98a9b0fdbc0381c0cf28648aa77dd7a17d6c5e1bf7e5c06e826c79de52affcdba957b3b9bfc0addc4d2de1a8
+B = 1859c6b6891744e23f0c893d62d88564026f092a1cf9e766575e127879fee0f2b3b3ce67d2e6eed4b10555dbd023d658f4ce94a0fff0c38dbb80fa9d24636b04abda0450352373d0590dfc13cb2bc49bfc25a6b6cdc3b23b8c93b8ea1e7035b493465bf95f02f62d0d35969432654a568320f68b05ae713efd6706d943ef548b50ab16891f07ae22615972ce2f6d4f516b6b41271fa693e7cf0250a402857f6cbce5dd31fd3d7630c7f908c7c0b806120bcd0d2c7ee7cebdf5aca552fc23d9a3da054c7d1a29bbfce48f15c64994fbc452b63e1d2a8a88cbd018bec033ba74c700a78b6d5e887f62b6e0ac56c97c391e140152bcb40
+GCD = 31274677bdcf02dfeff976b2e1d78428c48f7ee3c3cb1a51463ffa6e7272d50ebda4bc24c22166093389b68bf81aa8ca33077aa9bbb784dadc0a009edf35f29a3ea9e4533f011d612edc2c542bc0eeaa1c0ecfb979b68d2b4f0f11faf6cbe47e507a5e27303e9dea8fb446567051c8fc7ec784cef2a44386525f98
+
+A = 10c6b8118628c5e16acfb4c679d1ef7f8b1a3d9150975da2232e887fe4f15ebf2facd5a33a6e80a899069ad96025578cdffdd463df0b88051125001b70d63595d7595deec99ff29c2093aa5dcbc0f82924381ddc8e626891ae05803180a64afbbd2e50604c95d6ca42e31c9f4709b036cd5fa55fba0375e8b408a0273896ad00661b8d104f03faa7fbbc76d440d4f04cca302bbcc91a1144133e083fca1481b5362003edf44f28c9571d51d23b845db014f12a2f400d87a98f5e35fec42510920960a9f9006eecd1e9209bf3acf8936d09ba0425023242ce1e79a3a98c9337f4bb4b526f65a61903afc71a6de91a971045c72d4c55d0
+B = 1082c0641174a2a16e4997fba9398bc9b384a2f748d6623110ec42f0df582fe9f391198b4db07b7caae5ffcde200572d85a962bd3f91db6fc318279e16d4e863039d98fb3efc4088b9890639448c94230571558fa1cee119aeed99a5c1b0af1bdb4683512e40b93df0cb0ee42ef873976a6769e21984f67eba44b8403550e7a4f69a702cbbbeb23673beda4d71f4105766fb148f29770ae372deeb5eec480a6f7bd705a71028f0bfe1dd2b3131a0a3a6d79876d642eb57461c1637ad3ac82c83fef2c70ef9cf0e0e7f188faf93b239cc9af2f2916c9da3802e1a02693f940f9251386f3231174db519cdfe74ec386f1df4d2f03ae518
+GCD = 66bb753d8c7cf7582527c0578ee1dc0082301dd423651f8f6e258d37562e88cb0b7ec75aca3ea1dcc95397303fded4ffee648be4d3edc749530a4b30934bc44d45970d84685b49949f16b871546bb6c2c3653f7ba0786691b64c4e90ea7f3f5215d7003654646f622a28d794485564f813c6e68f9227f93ba43ea8
+
+A = 620604644f880d374995edccddeece0096be15aa99a6299f48a811eda41d6550d820f23aac58f576f399fdcfc2baff7c2be3a0efcedb4bce05e15a833355507be9fb6046ed475acb5ad43be7541371868ab5356ca5b250de290c21f2cc35e1b518d67f53af96221ed450e06eea7e684df31629406e29ad9263758b3ffb7edb41ba0356f0db13b7fbf2b4e0bfb08a70bdf2c133e73fbbe7026132a6aab1ff87b7bebc3ee7b5ebef294aa65928a157e971267bed0d9da98d2bb530bbc10e759fa28512a8ffcf603a09b4406ac1d28b3198d693940acd463a03726122e2e65534592c78fb80ab7e29ed74173ca970114a60a71f57ef8d1c
+B = -611ee44ba8bcb8207f3519d53c8333d60d0d526f7c5921895431dd0fcd9be0c7e11ac6d69dce8492f9c22b3b98cdf14dd4571b751412dd915e3c6ab7e18867ea88b70f6c660e63490b809d16d945203e20b09947ae189a3a75f92954f5dec36c3415403c56dde6bba648d9bbe646614b9ce6afb2c1b47265e4b260b64beeb9443df63892fef3a28a8174f3a2b15c158173a05c2a296b8dfcdef4707bca0047f330e7dfd51bd14a69680f2c95505caff1c2847e45b4c3641b0979a1f3325bac6dbc8181a63c94cc3cffa8762de46a2f4546949ea7349f8fcff15650f0f5fc7a710112808143fe70651053f11b119ef4af4780c678b376
+GCD = ef1d091fc6959b2850da342e0d3b20a0ab96b7e1d651d2d4904c01d4c706da1f271893a718bdd2d15b6e282313e1bfd3fdb4a3241ce427ff849eaa1148669ac719fba88c92245936c61205949a7d19c09642e7ab74c9e887d37e8892d172b584dfdcc280e636096190d27212585aa2741548d4a0fb5f2c1daf3962
+
+A = 14996de930ca62e6cc5c6d9fd60cb02712416170fd95bead3a84a2ea2e953ea210f41038800c1b532d9901b2cdeb5a7f4867d6b1e3b5f269d1d300ad4f637162e62da04cbb6c286ce58c9dd3a85acc43d68827510aa45f9349227e2ffbe29950cc0e9e41f0d9a46719e691f605694b8a8c93a89731bfd9264e5f95124ce740c5e6d1fc0d66b0b2c8c5ed37244fd901e35a21c18e9ea2ed052b72129a344dedae884d9154c8702138a16575bd0c84b5068fb3252fc0654179387d3a5d6e11beb1579f52ade7bb99ee29d45cac6a3b57091c3570aabe58538afc4e50f27c614f78ebf25f965ac0b2bdbceea3c8e6611fe98a52cb0ac672c
+B = d374d1db5c5a34e428141401ceadb25cfbd583e15a8f1d8c679d3fde17548aa9350010f01c4f21db0aa29c8d7754f71dc315b4af4fa8cee3a7fb2eb0b6e671dceb3f79174f71f5eb5c5dbacfd13d1cc59d95a22abaff6a83a4086e1bc526c774dae63b05d18fc7acc7ea38c36c269f75cdd01c9d4fb5fec8063d80a1c83f0ab47269e482c3821dd38576f79d5c4ea98abb52291878edb71f922c583d194a399658127908150116670db363dd6ab8d46bc1d369c498e6c88d20ab17c88cba7f1b60c4e6a746294fae41a4432490cbc2d461c2827159de96258978db6196a6f6eec25dd5ebd9fd4bc14d300ce5245bc9b43b8e44fd197d
+GCD = 15faad650de43b7b5846090c058e476891f8a54fbcbd2678d0daa7444c3f80e1e8e30d6796bcc805b64417b8ad7ee9ec7111d1cbb0be221004b2d900464b5d4e141a4724beaf99287f075d12cce0b669feaa6849918788a88a5e72ff2b63aa98c69469db513539e5bdbfae63ef26e24566e9d079546994783cea659
+
+A = 12b8c832937b80cf0dcf917736905c35e779f5a8e30ded922d7fd15c0b3c29ddfb3ac7bd462cd0773f063d0ad3ad4071242e3c38ddc0586de5c352397f235c85501c649afc9eeb559a1263dd9c53cbf70af9bda593162dd42cbbbd172202f05d02bfc5e7d36f6f3b4a7a5abf46b9f338125a95cc966ec461837c8e2884c2cd7fe25c311d84324a4f811d5f99403b92a8cd56dbe5d64f94372f224419d864b78f4fe0527bc74fcf2ef6f1fa073f49e4123e4920ec2fa8439d8b63bda06e075d3a21c0d300ff365190e428725f9c1521736652df0c2243b3103d3ac3be94c1d89b2a8d8a7c212863fc709ea0ec24f67755ddbafea7814ec
+B = 46db9110246dfdd0b797c12445fff0d56a0630dc0daf5d5fee918b5eb115b944665bda3569a9bf4a1619e5b8f29683bead704836db96b5d599429a1f615e205a7e8fc60156cdfcea88e2ff2e9e9953dbbf8c920d860da619ccffc364c6dfd75ace87bbc2c4f819f5d164336c3bf9e75223c021cc2bd10a82bcfc44e8d55fd5cc6c0c6de6b5026e6efe187f83376f9771020b0d46f68b8b9ce5ba7df42389a05239fc62f5f207bb0246a4d899fc6011c69b3381f65d776b89b4dfa4e0a821c8eac5605bc7b4b522b72d6e1500560e8ca63b1a0d5035d4333b6e9f13394e9d6b9cdfe5e0b2a300e47570e7e6bcb98ef4028c8e2c00a78d9
+GCD = 29e6181842b41588d1bc28d9f5ad68e08bda98544926c98b3a8a12ee5139401d6bcf9edaf8b0dda1f58f4da4c987b2e39bbb2a84c02af78c3c6e62debf76cc5f459e102882941f1f921dd043e6ddf6d89ab4cad742325746c4e4d3a1a6b800090e294a8659b49b78edf598035b02351af351c3dd77596073ab84d31
+
+A = 427fcbbb101796dd6c979821197254a4b595f54f08f93bac183498ebc5536ee8917cb712d2b00648c4aa79f5a05e1680e42e3d8d0bda711c8373d11151845af88b0a5cab9c363a5502b59808570b94398ce0d8ec3e15df6330a3cb3752704774e70838af0ed7e925b50b5bfff0aeb26b6635e1c01ccf42bd7938a23072c9ae41a7357df6aa8d582824fe9812fe824023a148904005b7eb5ad26a7bc6e7ce235c85cc71730ddedf3a9982476609fb206e32449c7d081af1df8b918667d327215586161409b85cf662f374da6778f5350c21c3892f67d5f7dc432d97ecd2db44e4522a051feb3f26adf19e2d781e7755c0224a38b53921d
+B = -79a88c16df3d5580c9ea20533c5457884cf17f8cc4319081b563bac995adecafeb446910da9b6d3da2563be5684a0052117e904adfe2d414dcd542fe75ceeaec5fae62df29b566094525c9214adfa3e07afffd42fc8bcbcaa8ba7773823a733a1fc3110d1d34ba4ae8da8f145f48e0b1c43ec4c45d168ad760c125b937d8bf75c7e9a6e30d781e1eb6b68047406d65c18a9c351c43f46c06e66565b27bc2c8a3321faee9444dad5ab79430e5fc8f345186a8b741b70b041d320a10ea6dea29e27b37c532123c3b8a04aa2977b08ec73590c7ea6e40bc89a0f34184c9b5414eaa60128e518aaf0b992a3d02af23d44506f90a77fec3323
+GCD = 512893917572477a865e5604d127d3e6c85d65761e2483d4b0a03cb890c745d1743645fed873890e8b3d1be655965e01cf83bcf1335c3d8b4e47e34bd514f1142416a6e44cc4f9d76d2d1e95cfe8d6cd76b01575c38e33d475b0996dd236e182d0292c60d401b88d116fbcf9bfbb467cc4e317b7639b6a659e28a55
+
+A = 16cf56a31493c21efcbd611e77f0fbceb65bdaf00220a6ba5ed99bbbc354756081a017473f2dbf8419166e8276260361fb9ac79343ccdfaf52142f27069f7566abce21c95fe06fc72c389f2d57f3f14aad0cd6e21f732428b5f46e2415345c2502c5229887285a96c1bf50c8dde04a9ff552a8542b72d16d9ca76ff6dd56b595a7a91db6c008337658d817191ed248f8fe221268ada212706b1501ade8a73626ca3b8c3db4460ffa625d6214f5490a62a9646e7693f651bf8c2c347fcb6c1975ffca9224354371095e690e32ea159ea7784a0c44953a9c3852dc18178ce48e306f2e77ed2235374cd19e62c0be21509ce2d6fd774977b0
+B = -60e7856c34622eb4aff6d8688873bf32cdf8893a831ddf7a0b411cf466f373deb8dcccd7effd3a955d2997de249d65ee9141bab3a0e17a05d69e9f8f6756820451dc0430241c133fecad26e22762c26b658c51d8c51f122bcfdd3ef83c2145bdf1c35fc588e6a06e0749c9da7a158f6cf18618c211cfca118e5d3233055ca294a9364b30ebd2a9d76fe7bcaede8c9946fb1bfc24557d1bd2720d60db0ede7f8dadba1c0d5eebe74f7d92078aa890f96bacddc11cfdd02d3a1db2d4188a1c3ecf4c20084f9da1dc95fd06b67cf1be41e0a02ca966d7c6f30f4cfcd81a391b8f94f22ba731f155762d23e5f17f14849c0730d9d82ddc8436
+GCD = ec994cabd5fd90689244aa42eb5443040077ac411d9cb3c41f0fae8eab242130bf77fac3333eec704be32b4592cd5336bb102a8defad40374783c8362ee55c7d93f38948fb0b378181a803053ed7fb96be3f7083c238b3571f90d0c7da9457e6ec84a2ce52cb05f071d6bc904c611075e75154eaec134715af149a6
+
+A = -c76821cb56fa19feec6de64c6d73da824bb9e93fe695985680ec3190d21b6cc79d29f9a6d0ffeb967d55ac43a501b0cfcbb53cc060cadc0fa5193a1a898a12b7b8a1bc3e14beabe4a8a2b9278b74e9484474c9b9652f8ac7a441610291f9f88570c40c5035fdd5191f4ae4690c47064b0e237871e22495201906e7124613b87ae3cf64c38b2955fbb38ed93355a14def279ff27fb6cd80da85e68c60da9294c863227e6e072e53a1c650efc8862221d7179e2863bc25c3941b82c90809bd47fa25e2764c2afbf03f86b8a2f6aeb197063c18db559e5715e744a1bfe7a54a66d26b613bb6f37f5f0bf5275319c4fe3e6d58bd19c793977d
+B = -1ecbd66c42be57dfa52acd2ca259595ce9d601616c429940a4a7189909b0d63d9de2f5e60eac9693340b7911ba567d6a3fc2f3f937df0d883b906df4057f6577311a8d3664262eaf9e59968b873edb4387c3c7c6b60db6dde344ab2d128b9a4da735a07d4540961a113cab9e1cfc437a206d8f2e14992df6fb79f3cbfe5b60f3088584e73772d6e3618ed6a3bc4ab5910e5fee0cd9d1b2c4b2e3b73e5707e44b4eebc8fb27b9ee136c7d9aa00604317808784ff15a0ccc6759078aaeab09454ab9a3896061687c21be71ff3671fdb17df9c9834bf5c63674e6f09ebb8663803c13bbdc80bafef7b6c2c5b3bf5055b96632ce33d720a7667
+GCD = 1fb005228170361e8b951782c67fe3acf0654ead7c6597029b1298c7d782c06a41aa2d71cfb3cac6c580d801deb7aabf90d85e497ccf72aa373678eaba3865c798fc3da6bb0e9e8ba741ebc3c980c4cb1335cc1d83b5dd33b0eb4a91ca3aec6f33681569b7c12149fcdb3b16e8c8017c2cb8c711a1d96d76faf4deb3
+
+A = 437a2c2fa137da861036c4d9c50d5fe39be5dc00a6f8cc0e4a0b6707c9c830b6ff19b6fb614caf965b84619185ad423194d4c046637906a2903b8d81f8a8e85bc3d8e98638b4ac9f670acedb49d2a8c412303e91dd853d17ed570df7e4de88a929389d92790d6911b042867ded73273040a4d0fa78dd83baa8b34eb24983e948494432695924761df44df8fd26c05144718b90560927233f118414cd56930d598b9b242a4328df63156e07194a703908d6743f0d0fd37e5f35a0dc01cb3f7593bf62afbf0e59735f09f57ab3023ded4c7a76cc6af51956efad253dd7b41a96613955fe02840e48b8fb8b17d0f35af633d6c170f4f9b6eef
+B = -51ce55b7c836028118d2c8af455c7708f8a87a5e8c5a5816da246120efb0b890205e128c98151c02910379ce36bbbc71f49a7804b1e588b3a50654ba85751949057fdef186b1c9091dae02efc6ead2cfa758232404f0daf496a1e9c454ae3f99db3fdccd067a12a654bfcf66005509310efa7f7eede9222218a7c2ce884d2e6d268e02cb466b3b1d8cde94da8e844869fdf8188e37dc5ff633ec45421b424faefaccb85b5f766b6eff516711e1f2824c257651bdf5c3faebc25daa1dfbb6030d1b8b6253959630f9bc5c83d2bfae6efcbf386c008e1f63b137b3651a0a954835980ad572a91b96472d20a6f554a67965e62ea2427d26891
+GCD = 3301281f6cd418783dd371f68c4e896dbb8ac070b44bea3a37297d613a2541c3aa72b80d23ca0dc747f65679014874b66bca6fbd8ade940b744442db95aff5b714a1f8b9b3202c16b43532dde77397b4aeff6229fa5664abc42fd5b96386f41adf41000a3b261bb62139b4d603257d1141bab7e43d55d57929ae2bbd
+
+A = -e2f3b6f0f996be8c48baccf202068b8b351ca086da7b77339401a937c58ef7f2397d4a5dbaa3246ffbb6a39caf8af14801a2b2096fbcdcc9ce7e7cbfbac5b72086c7c8474398d32c1e26fef5cb30d5085be03cdc0936e99fc8d65c992bb29d9a3b40363610d6aa37c1a6d9cf527de33333fffe9ec4377b54f451477837de6f832c3a2f9f714dacaf7ffb753f2056af4ac45f4f393a8efbff6a051e37d7b5b8c96e5c29dcf707f91a600279b577458e77eae16974c08f605cdeae415f33e4ec04dbf73c806f38d371513a0919cd86e3ab55fbd000a266ff556177d4a8682bc7b9ba0d8be4b56e0074c4c4d984d53105a3a23e216c4a625b1
+B = -56af57e0b2c7c713508f859342dbbf56c25696c492a9fafea04f6e89f26cce17f139861c5c0179fed39531647eb9feaf2040d4745226f387d2bdd913b7e6246417f7893618bc52daf2ffa9cbad83a4756501a0af3c3ff287013ed540733be09f4e2b401d610a913f5539dfd5a291d04bba1e83e5e4ce4d2cbb5e358f5e0312a58ec5da4f43431aa26e77d572daf5ebad6b619a7e468511d57782eed5e4c4880cbb29476c679db0d5f2a2c4eed35b0408c6b78eb1a337a603ace7d16cf0c30a6862526b47bf44ec45277bac7baf1bd85c642c08a851c2c15a271e3e14c78b2a97ee0b431494701dbb31cba8804dd198382e0d26d55d00910
+GCD = 2e61134555a6cfac5c288ad9a47377b50937eaee240aeb9de35422c3188d65f90667bf056fcf742d3c92e2b7c9fdc71b0de465712bba3229d8419d559da2a1a7835ac27d25f4d61f16c1902f2b1de60de63d08afdea9ed959503079e994a04a65a85b66b51f085d9cc4839f1232748d6881823da710e1e1ae8cca0009
+
+A = 3b7c2d16177b27e39430efd11ee929fc2710c967fe5dfd5a6f7f8176734fcc6209ed64d551b2c31be45b16540d11d2bf56b75d0151da5ec2e1299c9cb64558cdf62e158cddc57a53de6a5afe95e528bfc129d16b426a20d48dfbd3c8c2d0e5c6469b0de58f6b9cf56f1c6016a7a4f8f0f6c086ad2d0491ac49bb93d24f64de4fd9a024fa2ff09b9a22b9c18723e118c1db1076e270a8d38be2469a580e8d92781e51ddc40c8f420a64a169b6951f38000be1344d5decf59a0033bf55b85ef695d77aedfec9cd6abfb3f7872b73dd5bf98e817677ee610a673ce0b3936b331bef4854fb801e4fa702d929f9033a0869901abb80200bdb01d0
+B = 476e3ab9dc271c9f5ac231e6f652417cc0d188fb1e6fefee3ec18d13d86bf880be0c6ad97b01d595da187bb412f320e07b7ab385558128936c014c8f9825b0d6157a340f2bb02039fb09cdb348af58adb9b117d9c2cdc36bd409e514bd1a36b2f98765883b85decfd123c86bdbf1360f76cd8dd78d15c9bf026b3f85b19f5ab6e641216f42ccdac2043c15c299ae28f338581b3d13310b5542f3776ed581292568a90dd3760b29aa03fbc90026c8129b5370922347442a9d4558651856d3af6737986cc18c04c6ef70c75826c20f6319ee6e8d24ee14177cc92046525e2659221d3c8eda16a02c1c5a83cdeb57e57b0485328a06128a3dc
+GCD = 86da1a48125bd9b5ff7384207ee9a3be82373e991581e003cebe55f2f3373cc880e17b3c0976ba7e8f6e52df44e712bbcb28a4c5a70950c799acf61b9f1267e13227813a64064f9dc7ade122fead8232019c1f2c4c7cc8858db581353b8a8541cc193679c622b7e73e63caec0b6ea5c4e0b8d25fa5550fe585565204
+
+A = -5c233d0847d3f2c90b25ba955d6bc532374a49294198bb81928fe20fcec48d09998a0cf303e7654005bf827671fbba7a870e722c3a3cb7f6500071d4312030249930536654901bda17d57e87d0e66633bdd7e81b52d57c00c1e716ba7e797b80d42ca68af1a70690259d27e97bad149dc1351abe8950693d53fab7b5e249a832e2fbed627f39bfe30397c964ea6514d0553aa015b996a9c8f61e2d72157e6ee6d41e321a226aabf16ff4cf18b82e844525fc93d6258fd33add533c20890ee81a0de4969dd87497272f78b56bceb7679186e777bbcbcf66864e6672cd43e7f29bde658f134ed8a33540f824b1656231a6634a011cf321e38d
+B = 106687a163800fbf94973fadd9dc06a81616f086a26adeea327a31e6b6afcf9a7225d7f2b9a90d839498681bfc857914c972bb1cfba240f7f09bc756174dcdce83abb32862624162a7d28c0b5a0eea6185ee8cf36f72115ec97f503da98aa493c7741cd96ed023b03ea765dade214a2e4614c56afef4513c6e0f2d29895e1bf79c34a99ef7a3aaf5f298b55fd4a194289d92541ede8803576847a9fa42cd183e33589e02bc9b6840efc7825b876cc39017e582af93ee5017bc1e8699141bc4fbfbedbf45b015d58825aba17a8205efc4e21e9987bc0844018ff82e4e17a83bac3e4685dc1e6dcd8eb220a70149ca7a6b6a94c81861726ab3d
+GCD = eec8d0379c1d4dc604252b182b510650e291b7ea7d54cb9af8156284792b9a6cdb9761769935b50d525c162c1440d0fdc34d78cb6d08c069f17eaac3f03d86071cfb61b297acbecb2265f2f24394f51dc50fb8db083b129ce6e61498197745e12e4f23f2b11b22e3880183e3a511e9d5ee3e4767f0aa6e193e4cf23d5
+
+A = 24b297b90586ce1632c35c0bd59f54bfe141f1490922732946cdb0c4d6dfadcdfdf04e59dac3382793eb43ae8870d16871778b7de20a6b15e491665d9b82d96418b124af95b3cb3b56c96d9723e247f46aebf779cdf968e9f070af14d67c8e8b407d1b32e70dce00f60cbb4e2090cc1c7253f1dc25376575d83d0d491d3a057a5d85914481ac1125542863c557732624839961c8bc8c7fc9009399023a91daad0432af4ac11a6e6c6f401d464422af00d41818393d9fdfbc963e000bb7a18ea285b93e14c74d5438bd364d5491fe340d58b39b1ccc22491439c049cd7553406f055c8e5a7a9026a60287b3a60b6b6acab9a6f50671d6f3153
+B = -2bf37113fb3ccae3ab5b8be2493520bc293c1971ceecabeb9e2ff0dcc7c7d4ce773729cfcf55b29410cd1fb73e8a3394dc6f5c1d34c54f3c9a33014e0295b669dbca794914b556fc91ee57f92c8e0c13ab69ee4b763c55f2fbfaa434075a6c9e7d8137dd4ce7c85ddd016e0cc6e6eaaa1ba381adb1deb77343fde7a43d0c86eb6f6dad0cd5b891dca5464c75528563a6db9e32415d5c9c667941cb3faf8c72c42c3a45d81a469b66b0b855d4407734e7f0b4fb1a00299e6c874f1fc4b42677c703fd7ac5541e5cf82efc3d2d71e890a20cc361470a23dd1179676a34642bc0fa4fc181171c704c31464f76802fcd009e34a3b2e22e907b98e
+GCD = 366296f2cbf8640863130c575f97d7dfe071aa717e2255c3472720eb1e24ec3771e5f91e5c9042abd43e1c885b520767e8ea931892b42a24623a93ecac3daff055c12b3edbc70126110919ab3a89e1962080a1deb242c4bb37f981e14bb0b45dc3b4476021fa6632621f095391dd9e62a86bca19f7b3f64f8fbc2aa4b
+
+A = d8e8e8200b8e634171208e8562d1a5e1fd7a3bcce95cf4ef276671dab8ddc3a1d620fc5bd2b6f62a4847d7b003fe5bbc9dc206c932ee7d156798e66c18418cd28020e9fc6887d22d1dc4003eed7b281045e083fab336bf85c79db030b8c0146a03832860f49abdf1b56ca4f2a4aced560feb7a582d1950aecdae54e4d3842404a10b90887b46396fe4976d0354c18060c1de5e93c7e8eb112828af35b844a5fb17410852b6071930633caa96c8f5a9c3c0e5f24964d43067b3652fb7fbd49c74fcde261334f3f18741cbb265842d21b5532d79bb2e21b954575a7609bb70fe3cfec2da53c7532cc7691d0876226cd4e2c3c33c3ab67f1ea00
+B = -174f98ea12d342c28988e3b6cd60555172f1b19b402ceb2f2b3fc03f8c0d310df5543dd4f7ca3fc19a4cab9de9f37d79a01cc88b09e0fd3587947397c53c1c92062323ac5d56b27da4a979f56786bd0954e0b79728b2b0c2c3458311efe8ecf54f4d354fb295a83994106a4f5343a2626681685fef69d8f3d81b06072a76dea2ec650342b67a6bf17e73fda8ed233662ce298f257e01116d94a37edc0d66b26869478888195c379fcdab50ef63f2d372e5fff7c36ea41eb95fbd8956b4a4a7c60e254ce2b1f86bbcd7e9cca7c894c5fe1d6a032b94f4cd2f8fe6b82e1b98971c741da9115a9374be711a91b47257f0a79f6405ec1e62911b80
+GCD = 6e023075243f3f8174f9884b05b0067f90c38ed87e45fc1d69f1a68b33c83ff47ec9af956121c2579332037721570c5e7d5e59261b9fcf9ef22b63965662614e0b47bca6a242b94030f291e53c8b7210b5202fa126dabf5fd14529e53600ade873057c82ceffd2d09e0081bcf56cac97070267c787e4b2fb55100fd80
+
+A = -43fb1e1cdb240d8791a0287039ee80d6d5353315e87312539aeedc08b1620f76fe55202de1f762dc3319ebf440e3aa4a9edef8913866b048622a428bbad1752468dba59d167a5ed4a483e4b373e32d137c1901afd969b1ca0101827e7e51571fc1297f35a2419c75e33bed6d82581f9b62dc01bf5e6fbfa3efd14b6d5579c015bfe5ad71adea276bab05c33775ef3fb6fb555c3acaaefef1be3d0221e4e2c8c43a170dba23cf2ba50c91df5d41a69fd8d94c6f2160311208885d07259e90c81c1cb1d0ee95dc5489ca3fa8c9d621f2ad3b5e9022fca04d97772e413aa036aef9f852fb9b43d9c06f8c77c0b9c4dab12663949489e8f89f5f30
+B = -395b2b91b73aa230bbdad373b25448d1b2e931c8ebe6429a16e3230c5fb24400f71c6840309a7b950b493b1fb745dcf85365cdd65131ad0d382ca8c0a9a764cf6f91cada266a1a39626e2eb6f83cbfa5013e1ac7ee3c4450428317085f8d7df15d9c6f1a5744cd6a9913d00e035bf23644f6956933c32bdfb8ba63f467f4b37aa0223b6faceaedf9c17daa7ef1941f604c261c1018d5e832f3f88c983525421d1c8d268ec826660c7a4813faa434d9b0c12f7114a4e4ea97f8761365b528940a932523cad2e9b9c3131f5e1772af9667b1a27a8f31ea034150f2f90307d221e270b46bd474e6b107e2f16ae856bf5e60465d8e0b42020d9888
+GCD = 153ad2a1f0e751b235d0af57a8fb1f90b11cb628f83812641a8faac3b06040c6118fd75760b26b94ae163112a455d042df4bab66b3430ba2b42378a86148bee151a9b74e539d8859eb8d06cc89ca6a9a1d810662bcb272081741cc38464f97cd8e18349ca64362f7e47d08b6aeb8f9902681259adb6c56fbdd3fa36618
+
+A = -1a38c2c3dc10e0ce1170fb14f102f9757015b1a08c68b182045c6b733cb6f54f48de89f703777320e666cc8ce955e4bfe6bde96abb7a144496cdd3faefcc41f06e599fcdd0a487709f057c9ab1761d0243bf938b9d26b1caa7c057ae0e61d4bd819ce3d87322d1fed97070c0d6d83f5c64352095959c5a534662c7cd103f1f05fd5474e5cb3efeb664fdfab8ef75a04cd8a5c615abd58eed63945db507fc2d066dd00b8823e4a4ef51747bc3ca88dd82c8d5841515ebe9505d78ed2d06f41db3c36a0532ecbb1a022e398aae2136890e031aadcb22d8740b2916bd1067e4b3e72a30942478912c39533090bac35ed3942d44590f382933df1b8
+B = -cd6128da5517dcada7eaeb3acd1a0cdc0b3a5c9092ce1666700308cdbea645a9c6510fbf9b151289ff6858c3edb08d935dddda192db4d0d59a4215dd6012e48b9ce65e6e122e0a88e52d2faa74eb0a3bb602772261f8a34e611f439202d0cd53f2aad75d881cab93abbcfd6d74d7fcf02162eea1ec2cdb8bac3488190493366b5ea1998b1feb91335b9bba8fda20d9e01d8223809074847b9ed8fafe9183f0632f2658e6ad2ce6e5349095df6a7f64d802c1eca18622473aa04143836887156a072a32490e8f1ae088e9e473726c57690be60c1b2be1453d954bcc35d7c08ca96217d64494f6226d8496a6a17d5748843f3c98c59d529c8000
+GCD = 1ebf297c8711087fd27e2cdfdf8a3e1558fad2723eb59edde0b93839e6cbd509dfb5710334977e89582802b2eacc6d7a90f250819cd239086a75f309026df80d42e7b83df99f6208cc90e9776847a72cb9f000abe93148e003d0751bf2f2e4ece6d0afd5de554ee526fadcd1240de2e11ea95ef62ec640eb648a4620e8
+
+A = 3a60c12381b876a884530caaf9008852d95714bebe29cc529c87c1cf7c02c1b033629fdc878b8100dc30424accc68bb03ea76dc61aef5b64633e2ada58eeb6b59d9cae96836995efbd73204ecd37a5b78ed580cf947124051367ff69c41d680b463bf60acb0576c3160f7d9c4c4bb7df99cb111f0cd7ee9fa29653870ab98f00ef67aadb0cfbc9641a294da31a574cf60f36501da3a5b9a047f6cfca111c9074781d3baea46871a859425e90c99bf3c55294ad3af646d1608463ce4442b8ba0b298c89fd17538082e2e94b25365592c924c094d3d3347575015259e7e1ae86e5a98e0bbc0e3b8a0cafc640693ba9cda727d79b5cc75397f1290
+B = -2c1812bb196d3c11e74b2d41d3be69a4fd90f4b2ae94c10d20ea45347a34c1ebf32d916d06d658c2594fc56e0458eae8c8d245ceb58437f1b9ec1a079b012f71833436c79b085f685414b71559bc4f23d225c8a7229c7fbdb0521823778ebc48fb7b8107a3f0117bfcaebe102d0be73985f678946c362469c3ade21cf9e6f2c7954d2eb029b3905cad470fd4c18006f79c7398096a375ddd50ff1270c1d39d86a0745b702904a8d5a059d290e0b47c8a3fcce23d9f7cb456713325433e4cad5e676e509f4fa576b1996e30406e78bfcbf3a21a2ed8ed0c0a5ec93ffb5b797ad734a02bffd15faf348df263e009f1fb7be15acd24f81ddd16a10
+GCD = 2383ea40aee3b5a84c5f299f7de0982ce4bb6e78116ea27572dbecdd261e7bff6d8fe49ab783c4777e359701bdd7f855db7e386c18f76f521ec0ac2e4052230877c7dba2b40013f7cfe0678702bf604a4f19e70327d4192a9da27e61fff9f8bd5e7bb8f3bf848d3e3656d17c681811da5520828c6d55dd33d9bbbee2270
+
+A = -810c4f3a0d42985382437794719b3775eb46507ce1cf463699eda8cc39052e8c37fafc770b5678b6007654169886bf28b9ed4ce1d6084d57dad947bb04ac5e693c9c6d7daf30e919a32d089c6a9e1fef351971335326e1c70bdd1fc90c639d54da784915f8294607eea06f452a6e0119fa427e5838abcf3f02bf13401e4c0b50305a1bd3212f22f43a9ecfe5cebe4aa59175b21c4f3cd210449a5a193f880a55cde9aa982d529c7af6f75bc5adbc6006357adacff724a723f3c061c19826ad0cf78dd80495c6ae41f89483aca3c00dbfa3675e5a20a8f42446f831dde044b01de4bf87e4aff9953a6cabcc2b6d07917b82505f6a1d8f45c1e6
+B = f7925292bd9423ff9bd3fc5269c44468fe187750289844265ea6673f29560cb35e45b0387d81860941e65045888690770f47b031b382f440612a63d9e2000a852265a15adf5f740ce5f04874acc4e6d535c0b40b33d4d85906e0bf6b01d40dbcc2a5f9e39c65d224fbfc2918ff51085c1a596bc96451e0719ce0f9254ad835c92cc154e6479866664ac30c5f19a15bd918eea00962529ffae65e8aae7c3ca4c59b1412b3a0cc0d4aac5b0a0dca91edf122f9a8d998a6257494d76e0e1dc25670cc1e054957928b20c9448c7c2c8526039c340443e4d9ec6109ce90c590ca4e3db91acff3d02fed119ebce973aa19ca28b65984c96da84b0a8c0
+GCD = 6bed8ee5bfed88c05db1395562042900eeec9df91c1a1c31a3ae436d89c8df84650d46f741671d37c30bfd9e39c12fe59f4f7daa68d962dbc2ebff361b88d52a300f14f460855e6c3abbf6e0dfa3f0773fdfe3ffa0f7f8a372aaab4d7598ab5cc8e75f783b6cb7ed5bcab37f9ad52787da39a9f20fef0f8d4b0317e31a
+
+A = cb3ba6d6b562d85c2ca514bb46d7f2885cae440929c5fe7c9bd93918a456d6ab00b0cfd9de95ac396c307e11a94e43945273bc6477d7f40cdb0669a4021e4457a382528f94184dc88f8d88220ab74befc0055062cd529333af187c4650958f88e159bd5ad0b22fefead6dd13a31bcc047cbb058e9d7935cc02c3bbfe3a9b40767abfd75966c5a2c0b4cb20947b67ff2932265f99311ce121ea1066f2e24bb9368b9d95419ca62d2d4678d05816455283b2d3cf00456039767c8003d0d88a49803fd6fdab65b613c758c3b46670c9f25a15fff3e53404b07fd67b8ab6b4beec2840e1ca6fff0920cb251ebce05912b70dc9682b58d846371b72d
+B = f7274714312e12983bdcaecf7b89534a3e84431c6d7412603e7e52e60d8b5ea29620c4257313ea8c730fccd8941659835f60f8e83300c5d79f5b31e6dd8dae76c03f684ebfd3ee982beb54456cac8e5b6d57334fc09888b6eab248f510c582a11dc75e1bc1fb1751563d7ccf67eadaf7e389ad3c84fdd5e112595bdc54fdff22d873e6a1c84d5daaaa7256f355ea9421a064b043877db429ec8b9cc927bfa0ff8961b06d13707117a0207affaa0a7cea93167aa0fc3e1402ea06a133767443f845bb7424ccbb01fea1bfd4576675f1bdc7693993e759ca4848a826ee3a5b97ad8d85e9e23fb4aefb02ddc82942d9ece28051656dadc8ab4f73
+GCD = 9647d4e8e2ed5e97b35eff12b62aea2cd969525059351419ee6a1c50f6f757124e25aa83893d7d52edc4fe93d31bf217f50018209399e1b483170df20f4cbdcebab2c1ef375955176eab1dfad10e578cb3539a22c23e30806d1bb0b7d296d6932946b7f319268d7ace05c3c10b2ae7bd7f64f8b5760f6177ddc7bb6a27
+
+A = -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
+B = -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
+GCD = 14563bbc87f212e3a7255841512c03a9377f720083a8f0b6eea89e23cfb25092272c89db386eb0069f8a34e14abb5c690b0396e57580fb2e15f74b02427d368e1d199c639284a1083dc96a0fcd904aeca705ab939a14c8faf58fec37e4b0f93656d8e10d4417af9c7706e9b7dc0d4f0a945fc4d481f1a64d80b87d1455f
+
+A = -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
+B = 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
+GCD = ce2c5be9890f6ee73999e1adcc248cddc5fd7ed739cad873714c99c698339300dbd7ee7f7bf40af301fb8d0f29d151a4e27cfff1321f625b5db81f798c5c423d3a3940dafd9fd76903882734292dc74c153a508738a0c5b50361f75a1846182902b8e5ce0766e0ee8ef58db0cee43cb6c5dc2b41588c7e928223b7fa5b48
+
+A = 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
+B = -657d9476c32154321858a20c321f90c1f359d63d1cc3add45f348186f9a041efea0be39b92e56297f377a1b7f817092fe4f5bd418234bcf4493b9362154f9a1c3eabee938d441709ab66b01863edcc451c2b0b837bd8790157d602d86b3616385be19632247195a0bd7a786ee5937fd93891369463cfb9dc8f7f5b5470fbf43188bbf90d25a39f4b459cc3e5681ecc9e80bfdea05b79529231fd35dcb3555e2afa5b973fa713452f26a3bd49c49e625c35214f26d6669b48b97d64ed905b5af6c59f509c9f74baa2f1180cc1c0563bfa9e9703ca7833b1b0c27171c34e3e69019447dfb2cc84eb905d5ba0540d8f01fcd337b92a1c7ff686b949a
+GCD = 487e5e7f8eff78fe755316697b182e1771aafb7357b90d98772fff9db1944128afe9d261cbccc716d634efb9239f7990ecc14d165197c6aa56f1e20728b05886b4cab923815c39a9c8e7abfabfc5061ecebe29fc7956c7c2a0bd1120c13cb416d58f0764f9647ebfcc908f9c6d3bdc18de837a3a1e594398c26031dcb26
+
+A = -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
+B = 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
+GCD = e47827dce4ce75d7de3eaf561e2b7fa265fc494f375a1b56ff3ea2dfbf4738f5b0c219fea1a411e15530240de3508767741ea34e9ed738078ea6b0e5d87d607c20be517c65c1cbf2d47cf6a170c54cc235b2ce79baf21c6befb5e40b8b09ad0d312dfd90e0d2d4d508b75044a47f04537a6d4e00211be9d6b6f1a80db13
+
+A = 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
+B = 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
+GCD = 178532762bf4fca54ad2759f52f4e90ccff079691eae2b62c7c0c12b4e7433109524e644f0bfebe49be19750882ecab0d14738ca03b1dad124fb0f544cc970f5073e9d37c32a1edc271325158049c49641d49d5e4dfb6273ab9289ed3003d355ad8a46a910e5bb66eef4815f80b75ea232a3205516bbed5e991a64f66747
+
+A = -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
+B = 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
+GCD = abdbcecd245602a478419515209b4634d4b61214afc09864dec017a2d3d3489337f49e352c613d567d49d2a3814fb1c9b63107525f73076cee0d59da82b4e92b88cb8d39a3b654f4b4f721572d5ebee134d77649953c0206cf3a123ed25b2a8fd002cd52edb314f4d3004daa4eed579ee7988fc43aa85a0785dbd84cf450
+
+A = -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
+B = -11c01a8e72897ce99f746b170a38d05f252cd4071f6f0276ab83a1c3e74945740a3d2e4cbde6e25cce8830147f3f09a776a5ddbcfc0889792f7285b940fc0f0a62ce8fbebb6881bca8d02e7a1aac2b911e25809af39b10f7ef3c3af61ca6ca0f3cd76a7ea4b78ed29cf907eff9c2ea57067b7db92ff23dcc7e5e3b1ffea31d3c54590c547da6d59e0370231bbf0537715aa0786ce71bdcd3739433f835c5726778a6f02dbd75e714fc625415b82db00921d81dd2df7a043949fff3550f7c9163539cc96dc1fdf45c033e8a505238b64658bccdc722fb3d6c782d4b65244a8f70ed18dea697ff0c42f6b46c0e241f3d5bd139ae972065c5be2f7ca62
+GCD = 9caba9b74673029828beadedffbc86d58827d9f8a9bd6060d54232e837787aba5c5728089cc06a111b0e987299532f0e664a8491198881f276510f7077b8638029250c78162328909c69441feba6ee2a58886773f77485936d05027b2f0fac2531d3ef2c0323ff11771848eaf424258f1acbe71a0fb0be386c986df2d67e
+
+A = 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
+B = -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
+GCD = b9d5c1d9f2c94760472596696b42bf1aa80a23eb1db9bf9a91bb7193709751c6d3c1a98b463ad81da903de4f788dc20cf70e8d6587be878c2c32b0d4af741fccc896fc0bd467e6a12f90fbc5bc35e4577cbbbf95d61dfc581f5cb2008801c333d9978f5b6f859df98411d00780f98e3897a369b1405508e63bfec80de727
+
+A = 10976e10f74b6cef7dc42b7b97c8c41d20cd8f65381e699c0a9599c4e468552259f77af2cb819564cad6c01cc9db16eaf0b0225d9fcc6b4380b2ffda1fdb20505a452872d4c48c1a6bdcb7bc33d60d8b9bf181d0d91b6404a2bfc39e596e5a581d9df57e6326528cdf8ef2dbe1c45aca8e0850fd419fe8e6caaba74808edde2f6e24b2d590cb26e1bd7abf5a14cb0583e32ad36f0ca4c1624bd78765b186b7b69bd79d7afd6b81b3be9b6b523fbfe214d80f37b3fa561638daa9eefad8c2547ae177a3d166d0c7f8c7c8085187c64f49a158d9979da48596eb3a88e65d4ad87e6a96629f33157856cf463bcf89c1edfa91b0c27b566b8a191bab12c7b
+B = 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
+GCD = 10d23ffdaacafcfd9a481699874fd91036cbe6d5650431124a81518c72628bd0b08400d893604bf5cb91406e4a142d5652d14a816d2a33c42ac6f926208d3c22efb7041943fd42d278df0a774692b97b26cf7103e53fdbf880ccc2be0b67c6516273db60077e73185c6f019ae788d7961c82c69c726202b27fb80bfb5249f
+
+A = -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
+B = -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
+GCD = 11a8396758a0a66b022cac4bb51219dd30c79dd0c8631019bff67fc48f2dcb76cf837e32577d148de45ee9a4169e2055e2e1e9aa396afec4db1a393cf8cc6a1f1b3bce7fdd5538486120e8a7f897c6a3ac81c998a5102e0d7208cca8acf72867d8d3233c578aa3a8472f3ad8377eee1df357a343a9c56a957d66bd7049f7f6
+
+A = 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
+B = -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
+GCD = 14fd868582aeca9dff8f0010a0bc36bba0c5e20931ba5d9deab02584beb41a06d5a74f0d299dc6fc8399163e5f1dae3b86f09d334692917f7b02dff899adefc375aa9f282b73d4bf886df04ea04d78c93b793ee0d120d98c05e916577b4325ee352d07e10bbe3f487fa29ba402f499a0c415ac1a8ea1550b410f09719ba712
+
+A = 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
+B = 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
+GCD = d4d9e617ea32e621017d190bb8185cfd688cd3704140033a28e09a0150f3f88bc6d98a331d24fbd440b62fde87abeddcbede601988fe9bf9a6de75314981578395bf4ca25983b84e0bdb55983c4790430e02d22d103d96e9d07ced26f7820dff2ab2b6043237facdb64f0f5fb983f09d2ac007a9501e0c5792cb8538c2735
+
+A = 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
+B = -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
+GCD = 17cb2ce9fb7116345f17f45cce621d9dad7b5d9887610976904fa204c757a060318b492a71290f6326d72ed69a1fdf06ca98c81526b4b889cfe67a71d6c6ac2f47b5b6cb01db4272b8cab35155674fec0392785b82ab555ca93db29e0163b099eebb83904af5e522416bf53f81cf3c5ba53c0ef9608c9c0167a4fc57ac9e5a
+
+A = 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
+B = 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
+GCD = ba5e6c0fefaa102b2412787cf5fe8c86a49f0194581813d52ac3cf0e42b0433e7dbf808a3170ab105a794143e31363d9f1810a653bf20f3a4859b474802b2dc5deebaa2ef0a3403b4741df8f2898df8cd17e01bcd9ad631f401a3fe4175d51868ae10954e8880f690696670364cee4cada6b2cbe8c4f6383b94910a283690f
+
+A = -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
+B = 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
+GCD = 46fd5bd037c89fbf2389ffa12cb8afdd90ba2678c6092dd51694944de5adbc5032998ba41ab6e0d2509756ed97e66b191628f1d2024a0ac686961ba904332467af8d3a957a1067b1fb966d944f8a3b7991ac0c68e7fce929fd6edd17f8e5b8549459b746963ff3133c4974857bcba0289d5144faf1ec8bc9c9c11e088a0c68
+
+A = -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
+B = 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
+GCD = 271439c61c1e75d7bb886c53b5d44414b63faac12ca02f399a38b53158945bc3b4592abeae070063f6bbd36981934f739355ef8b12b41144cd5ff10436bc9c009fbfd62fd9c657f0d96a5799a2bb0a60f77dac2f8c6a17f4ee9fbb7fd169bfea5136aabf0726b5254be32354e123d8caf4da9e7c5fd1a32c67e8063962c9316
+
+A = 13ea42ae8b28dca79e5904aa9790b8aba2f12ae46f3c818a90c63a82deda20194cfe4f7e8ee9227c4ebe697154defeb8dff031f5ae0d9fdf439dca2e9cbd1d35a6a22b053dc1e1540c1b5e10a2c8e5e14c42c043410ccd582abcf9146d82022d813e2050f7cc552a0ca475598c2decefd4f84bb6d353835bd9f72eed2eebfc90a66063f14b5d61c6f99bed7046b086b0aa7c56cf37253f753ee0621266085d680800c21e25476dee2898547e47ee75829b914554ac62f9544be44e0f3f270207d2dfb049b5756365e61814e8ad579cb505023989fb71986049e738a17cdc7f4e6175e0921fa8c069b9fd1745a02e04d5fec7d7192649edf18b154819bff90
+B = -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
+GCD = 15620ca883a07f0a470c7480c812304b0288a3bfdf7ead16f01725c90e68a647ccc0a8a3d1c06162416cddecfc9f0d4009149b9041f72a93b25f564c39f6fa50ae419135b0d6065d2772bcca444d74a6deed6822823d591360149efb61c3e568f6de7d53b591830de609d0e690b3881c3103911f8ee00743c376e4fb7d21a54
+
+A = -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
+B = -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
+GCD = 776d7044977143d3ece1255814b946e6ee241ca46945648f8f676c9ade014caf504c1f8ff2ab5fc051d7f4da7f713b1fee97b707756100f39e8d94e5f18c3caedd1b58f00a9ad46d41485537affde4691a7f0300b4efe71adf433eea7e726a26685236f0b65910baf0f970ec937ca6b9b22d688bb60f5732834eddc75ca3d82
+
+A = 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
+B = -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
+GCD = 5d85e455ce6f9597289c29f0b1eab77198831e5f56b6b8ec5f4d459fd24317abbbc5309850803a0dbeed7d5be676e1ae590e6770383b4bf4823b240d8a716f6762d4c1b05936f0423186ba2904891d8e83ffcf2804ca0dff140f325ece510a8fea35075469957354d723042a359c9986aa4f06c964cad7614df775d098d94f3
+
+A = 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
+B = -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
+GCD = 99c6b58bb8c1e01bbf8a75ccdaf5df74639b2832f47517a4ce10201f0e863f461c871692cf10c0b0828570f14fd06009d4adb049ec0231ee19485d91ff45e24287c13d3a71b3bfd7917c480b4af4ec31e6073a329f811391a34ce32bc1c233e8828edb25761763217b4e0050bb5aedfe262bb6b8349996a677caf876ca78eaf
+
+A = -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
+B = -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
+GCD = 6a578439a083f05c2edcd293c34cf167310b33edb30d8fee813e056d374a558a033519a1e271a5e52160ea4370607e019806923e080dbaf8c63824157c99cc80d1419c15beeed74cad27db4f9af54cf6f0ec8ec5cef960831be79d265715694fa7097cef5da3f1e4d7c21844aa7bbe1ad6d1dedde20ad88766094b1438706896
+
+A = 2d70c2484fb4239b7be2b51c8d816db7607939a721fd1108091c99a6ce3f7b5edd687710303c7d824ef71b42edaaf93495ebd7e0dd4002b325a81935aec39f4044c370cacc4f099b06f3c4e7dfa63c3beba9182a358cee1b367743b4e248b8f2f34b1ffa01baa77ec2039be7bb969e4d1f4246e89cfb93408ff22d616acfdf17c7a2b41d1151e6853c2de04574913f1bfa63501b60a0eeb1df94b4e4a9fea54adf35c8119817c5cb498e47d9aca746a813c9aae5877004fb1661636cc3a17e4032db8f31bd741ad253235216ecdaaa42cfdc16b4387e0a28189cf147811546a12558d15d394523abad5327b6cb85452b829ff61419ffb66c5a9b0af6a11816
+B = 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
+GCD = 2a82a48eb23be56359b3e5f315b6463a310a0b0ca282bad140ca37367a434cc5350fc90b64f3152949a59ce007868c5e2685c037cc57e2074a3b93444ef4aea3bf9291d5d096054fbd2eb7f5b915e8c1df0c89f41642e6203cf891916d9d40ba46a3391935f16b4a05608ef714a18b4510fde84bc457e74e81fa9cae067fa8c2
+
+A = -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
+B = 21c880d8d19cd58561207695df2ecb75c676ad8eb3a3c3d93418e25f4f8532a45d38d832a63e8218a1c159810fa8178db4624dd0d13fa383d946729f62c086a5d275b604c44c20566ab874b815d217d71725b8c9f1665986f5db654d19bcf8f7adf4e9363f7b1cd7cb52aca2c8b3389101e93a0195c00800516e7186b81d99f1c630574432d460138b96210c6963dfe6615ac4a5515d44369b3e9fbd7e151f63b467652912ef4728102dea2c474654bb6e2c4b49feb17e1baa6e89cf7d24cefc514b76b2b0d2ed0472a6a2776a6f125b4160faa47a5c3e7c78872e4f183207d4653cdb0c4708ba28e591c67db99d1edfea084108034d0040cf86f586936683d
+GCD = 608cb28fcc93aae3bae0c987a43e3aa30686e1268854c792fd0a480fadf22ac38f716d22561bcaf84b6864700eaec9a0ff95dc92133703362509567bd92437b459873a6baf7f8ecf0127aef06f5bfc015dbf00fac69a2abc7c21934982bf2900a6d82a5ec44085c2958ae650fd39f945cb3ea6c3802cb07f9486b89a7f65cbaf
+
+A = 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
+B = -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
+GCD = 2d1af9e56799a3104788efc7cbe2482e23d3d419034745fd236d057aa42287c17e5570ac64c905beab44acc9e97f42b8aecea503ea2a3802fa4c1700b9050354750c957f8258153d52ff825a67b9bc9b5af54188019afce4be77b39a5190d57e8ccd489299012b1e7f528b5b7256feec8b52e422d7fd74c9e130d3576a10d50b7
+
+A = 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
+B = 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
+GCD = 3c2ca5fb4d89f71f1c6281e70eeca0249e64f39a2c826bede8b8dcd2a6b0e477a16b56e0b60d71573714892d708cef230983710dc7514bb017593ef14f64f480ec2fe0411d8170936661963522f279a0a148f043a1c33cc9ccb5b63e0fd3dfb4bca0fcb45b60c088e0b3d58f7396fd1800bd32183a2ecc1e866babfde6ceafee6
+
+A = 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
+B = -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
+GCD = 22a354280da7ef2e3499f2a7766498d49782f43277ea6394625497be1ed6d04ff9dc5158af8ea751dd5ce0a0281fb7b1316d96cd631079485e7689aecf2ab6ae90e9b19fdd77c14bd7a345b37c24a28b2885f3664c2c7973b81469026ce27885c251bbf021b805e22b587e6dcd2e14ed9fc443ba63a44f5809c2077305bd4ab25
+
+A = -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
+B = -9882caf7b6f0eefc03abbe274a519c611f4be88253cfd371c204d22b72bdedb3d6c0424e205decb797611d2836fbe5238b7282076635299b4164cb4df3904c24b46ce4d14a624a88d525621cbfaa9c8d5e3508dffb3333d6fcd923a39ebd3336e82acd6441aea23bb98e293fdb5d2a96c0bb342402342960cb77197b454af97050d50839b63a03b4b4843c9b9a3e5d52c5d6232d9e6fb46bb5c258ccce89b4e3f3cdf9a4c01def7a9e2b1ba59169ce8213fbcf6dbfd1f55a976e1f88ec3522c26d96f25c1fe85c243c0f7c12810732f80287f706988364d59bb3177fca0fa3686efba90467ee81aaf42ea43d2e862fd941a679c18058ec777668ed8adb480d268
+GCD = 6e3d9c18125d761dfbda9138efac235d55f5099154f1584ec213ceab34c557e773e8b57ee5fc6346722b01e7ee7d653f5fd04df80ce2f0fd060bc53616eeae5f8a81644bf5285fd352aa58e05bf105c3d5e511ac2e8cb470c9ba6f1e3d904d7027f89012e0fa0d02a3e8c289a691e6009abb4576663f83dc21541f96093d15c9c
+
+A = -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
+B = -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
+GCD = 8d3294371baefd04e1fc6f1fbaf5113799ef022f2c89430a940a862a3d3ef1c5cb3e68fb2c860961ccd7b399e25571b55dea36c187023274333059c780f53944ff81dc5e5bf2ec0dc488716deb59044048bb9b619fe1cc9635b4f687bb36c89b899731e137db1f76958053f0e52fae11cd3cd34504c884ed7edec573a1c031e0da
+
+A = -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
+B = 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
+GCD = 12f0ee0c662eeaff462c1baffb25684c415115d0c3dca31f7138bed62a2ce98f0f7a83daa113a2ce50c1f3317e22f0962a01da9f1e2aab917f12cd9b4cbb8ee9113ddaf1080c9dc09cf7dacc27308d6b610a3bb64c98357135331be3c146c2f9dd00bedbb9f0863281ce1de58186bf9b968d79c31216b6ef331af5bfceb44a5ee50
+
+A = -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
+B = -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
+GCD = 24c2810440f3d4773dacf9f7a67b2cc0d03b35c059bc6aa3b8aa0f0a5299954061259310493cb1940a2dc5b62537ae82373b82ccfa115413d2d3570ce4c4cc5475102991617363434b0394ce891a7bb8cc49035fc9eff2b4df6a49209fb441195f9ad7334ecddf78f2dad78c50719081f1c88d5df36e0d1a2f6024239b3eef8de1
+
+A = 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
+B = 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
+GCD = 5999a34cf31246bbd94d697000e4ecbfa9b2e6fb473d0357f6cc681d40d5bec39c2d063727dd36bf3d6d38386a09e38ca13d967816aa5d9d2c3f0edee4b7332e0be284d959055658bec645dca93ea2cdca8419e5f7cab41b85f33d46663bb20869798a143251bbdc3805c6eee7ef27d3f8a8843844863ef13ebb48db7ed58ad214
+
+A = 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
+B = 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
+GCD = 9e8648a4069a067c5c165312402cce4e3c2afed8203a3902daa571b57622f38bdc2c1df7c9936ad61a65e5d58b1c1119df5be38aeee409130683fd0f4e3b8d10e94ed7e95283ce981147863f656c7e1f0c94d8f6804822554024c7acd77db03f02062f5a5d8860b73aa2850a2b11b443aa78ae7feff331400ced3bbf8274ed3d41
+
+A = 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
+B = -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
+GCD = 1e637995253db39d550bbc2c64444c3730f91ad9876f67538abd456e824d316468066ff63e3ced26776270d8114c5aaf0b9b59c7ad9c9e401b9753b9ab01df767629ad55b56bdc33ba6c92904703503dc0b786d537586c7403b9eeb6a2db13b78e4e781304f9957809a0e06bffdb70c5e665703be8b03e350dfe45fcaee026e96ca
+
+A = 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
+B = 1bc847100c03ef795bccb3144b3c4d6f76329c06f5ffd5cee5663989baa871fe13353d4ffc9cc7cfeabffeb39646941682ad3d17cfb4cfebb578fbe1319dae9136e5b76ad41442e00919f52da306e4221bb9e8a8ec90e34dd632d7f5d1753a7d69b8711a004d51e3f625aa8cde54cf425ab7c494a67d74caa85faf58f5f1864348ef305bc582e7f1520f1fc2cf0b42debd992278262244d0a111e61ef942ecbcfed603a126dff45968ba6b29b5161cdcc36594419f121a7d250862fa99e6ef6e2cd06b7385c47829efd298fe4a98d9dc3574931787ff47c5fd8e1127c173854a621c4179c90359e411be18f9a4d9a213b9424bb1328267aa3a5bbd89f93f2e4e69b8
+GCD = 2ed040b9d16477eab33ebcd47ee9e4ff1adce5df52bb02413990b1753bf475cf93729be096caa3028d2c93685d0f46cf22f424f80fad643ccd36438221057fbec594d90a6a3396e762cd04f2367ddbf1d634e7b9323aeb56683058fe51fbf05554035d07d896e935dc7ee43e35f27d36500b15249892ce848dc9be63dfa96d6d284
+
+A = -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
+B = -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
+GCD = 45c6eb6e4cae3c81e071c3e72827cc2ff782d8c135276669162099d81667c07c499d67a7a7344c99cdfbe00af5a10d90cce05a751b65f6aee02a39f88f619e6dac16c944807a725e300070474e72164d514e94f5399bacaf1695f4b35649825bc272cedafc5b76a06d5903e0c7aa25c1e653e0dc425cd157efe4ab07ed19d06bc43
+
+A = -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
+B = -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
+GCD = 25ad2f69dfcf036d2059cc9cd99c1687be6181bd59e3a59350ccc4d1eb76fe35be9df936ab4936cd6f898862de133fd7bcce05bc6c72d4f28276b3e8aecb34cf2a96b337ea35c326eca7071f010710b58de5d13ad5252ab8e92a6e7966876a5cdfb6179b0df7f81b82ab2c6cc83813b999588794a42fb82e9d246cc17eb31c385442
+
+A = 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
+B = -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
+GCD = 1cefe3ac66ebe9311b57f32ec15c00327608abc08c8e0ea3734fa823cfd6a99d73f10ae00d571849be753a7645bc9d0d5f3f964b27e5e87628c34431bc928cb2f1930e177f76e340aca6b4e18dce426e2127898370d1211203ae043fc1996b84e99470d1a25bb0750f856122ca32444f792c6683386108d0474bb3bab0e971750f8a
+
+A = 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
+B = -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
+GCD = 31ab60b9fecca209c50eb632233a509b83cb4b8e99161eede6d02e6a77c7fe9035eb3afc9fa10f98aeffaf736f5cd9a8cd1f039c9c247095bf2bb9f42a07ba0d661660fd165255958018c867585f2dfeeafc40a9f4bc56fc0f7b21e5448294c462850b5b82c0ac147ef399131bc3d649026fd12d80e75e8f6b6e6e0821b7c32b6c80
+
+A = 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
+B = 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
+GCD = 639815f214c4b22d3b8c2b1924988031364d49f42b049474f385ca466e87e2b78a7a4f1a3f598c6dd42a35438b48d3ec303851cf8527392046b3e09fda9fafd93d7cbf80ef556561dfc3d29885abc8309c65504963deb020918df5337d101c5fd6a766feab93d04f7a36b7f2811cb6896b62c04703bd012becdb287b83cf735da987
+
+A = 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
+B = -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
+GCD = d8c1b2d84dba1ababe689df7f9f002c334aef2497dcb45053248ce402ef7eab27e74ecdb1ed308ccb540170dec9a51b50ab96e10d57d89e63b45a0412a010d7540b39300e65b5967f2c054195f6ca1e783f455991c37924d9fc043deb534615f0f48ece51c20ef0d813dfd288da02677c8af8338b054ee9c0971ac8abc56f3d5f826
+
+A = -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
+B = 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
+GCD = 205328dabed1a58b47f878fa4d310e2e1a18db441ce371a625c10149852cd14c35937c50e132b1d3f16efa56e2dd088d8c6cd6af18b2318e0af5d0aad80e031e19a28bfb88fde778e2d03737a8725af4bb6026985a789fb208a5043db76a62f618b12e8cb5dfedc8753888160fd74df134638d44a5838ed9246d0b00521b953ccd22c
+
+A = 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
+B = 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
+GCD = 56814ae30565d9ea5d1a77feef3072a708a03d4f377d20abfcfa0aa72acb0be911e0f929b760c357ef76262a6c3e947d843364430409acd6218a5919acfca9d11795dcb82f78307880c0b5ef7acab1c01f1c5532f38247d34a3dd845e45c7a64daa88c6b2cd33c4d8ad3594c7255008e693c3dd3e35aea1810c02af06f0ee52b60f18
+
+A = 170431c12e5da1d0e1aedff403f2f7e02d7d2df4f5c7e70b6ebf12f1993de5e289432d006f8d3e239808b614fdf917123da677b092f595f6642df5b2db8dc7ebf7786e4a062f52ab777986ed8d7ffa05a54b6ee27d3b69ad8c8956f9d8fac2610870d45531ebbe39790466e9622a80f31b6492e06d1183e0933fb15caca0851996bd9e2f1fa8881173dbbf6f65969314f83cbca9a7d7488964071e75a85ea50d3af88179d0c8ac818a062856b7f12dc58a0478c9bf9c4327d0a45c2b185183ded681ad36678c035b914cb82151bdb88fcffa1f488f2554b1edbf12d16c58e4a792a489e9147d5d84f20bbf5741b9f1cc52794cb53207e31cc146be6cd6e78d55692c8bc0
+B = -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
+GCD = 43b413a30d57328a6eb27e1193168df76da0c4b8b900c859ed7680e8fcf2abbdda4994a0710b400453582a86a0dea35812d19c07889b73040a754b2d4d8df7e0ac7d388ff7219781ea0381f4c1322e207486b0f4e5231078b11cbeba57375a71a11410037546b5c24829aa7ab85d87894c3ed58a70642eded9edd2fda2881cfbbafe0
+
+A = 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
+B = 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
+GCD = 31090b46338979b42b5c3690f7f197cb566af32659baa035e884bb6601f99d2612e3e613ac8c31b68af42f2bf52c9ba9af037e96c638eb62fb921658e58d805fe4cfa091cef37be5be7cc1aace5029f332519c3e01d76983616d9be40aaf0004fa9949fa89a73f6e053e0d18dfef1c1204a16e8776d64810ea3559c5fd0278a3e039ac
+
+A = 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
+B = 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
+GCD = 3cc6bbb37ad2151ca283060f19eb9f038565a1666c5d0c207374f3492a660b62f4e9ac0f28936e5f1c4103ba5e0101b8fcd29ca5658c977a2e1c930588843f6efca205efed539f19829348566b608e9265fa0ec3e64d34d830b1a51c2150d9c5285b2b1750c4411358cf16b48f9aaefb2ec1137580b4e3088de545c6bdf09fa0b74380
+
+A = 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
+B = -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
+GCD = 26feb6be47b997cba858b3f78200fcab6904b417cb9ada8af0b2abe6ac40845905d8fca55baa7397e17f2be24952d05076ad3bd617b07ea259277b1498a46c782e5d92d69aec722e38515e3a419fbfc899c62e445b0c0f3ce08b4002ab67e7888a59381ccf167f276d9c1df96ed25554a42a5e3ea345a9c3ef5e6a2236bda1fa95f3dd1e
+
+A = 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
+B = 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
+GCD = f45f95fa28fcf5d223f22c9892695422dd22173cfb042e903579d73f48b8f6e44e1bde303586d914a9f7bf74232d8cfa71187425d4ea32a36d96229d9f0ad0947625400c50162f661533ebe92ab0f73958e5138107354a216717f1338042e866d3c7d0450870368f09c17449b52b19df50dccd58cae0920199041752e3f06cc8d08c4a
+
+A = -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
+B = -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
+GCD = c54025b47e09a9cf36e5f2cf3ad8368899a378558f92e81ea9f2dfc0f91dc0f93d2bb99c7f3a49147ed0414bcacbde459f3915f48ae8c462ec286360eae10d21907535debb1edd7c5be5f6043692909961d4279511a6525218e359cfd9b340c6be7860de954ce7f921d3c35daa198dfdbf334f0e14e565a27d76eb4d5a93fd67fd0da5
+
+A = -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
+B = 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
+GCD = 18600a6700a1c58e78a0dab77ec2e7e788d578a105dfe0c125bf7d40aeb2e03a65b6652edcfbde90af4672b44c316674db8b3174cb80d10793a034799a2628d8c978e4ce70623350a738b62ce5cd83c576a49e066c26d3a419119075bb1af2f3766c74a59014266b3509e0c1883c3b4eb69be0dbc72b2225d79ed32b31eac9c3d5d3c2e
+
+A = 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
+B = 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
+GCD = 603d924f97c6102eca531c37ad42fb269645f78672ebfad8fc58f276f6c71cc7d42dec7e4fbeceeeb61a4f291b69b5dd3d859af901924e46a0db605f7e9ff203eb1fcd48456ccf9b23c31bdd57cec06c558fea920576263bf513c06dcc3df1b55a4b69648b6950ffac92b945388c05409128166692c5d6fa9f47fa5d77e75374f894406
+
+A = -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
+B = -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
+GCD = 7345a8d4cf2f8a4b36ec54101ee13e57e0aae443eca251206fc0f0e714756a759fafbf36b7b3134a81db28b715504020b08cc9fdec5795fcb41b4ade0ff63b52b06f3902296abc3bbdd6589d0dda3ada2e75e41ef8356d81fd55d8cde2240ecae6054e6b0603823d45e3fb70935da77730260e1cf585f84556c6aabcbc1088d9db919cd
+
+A = 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
+B = -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
+GCD = e491ecdcd0c06790767d804f1c030479baca750dc5f21008ebc7a2cd2d81d6da34fb91786a45299d90655830b11f9e0669426c27b6052b220393a001f5fd022e0105472561b1a64b340362eb276d27faae59bc9499f8729061d5b66302b4675ed53e5b53837371883a245811d669c130dd3509584b727d551e719d301e06f7b3a85a3be
+
+A = -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
+B = 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
+GCD = 39d5bd8a23898aee733c4094756541c3833a3cd2fc1c520cdb91b541437681ea04959330f13f0c4131ea2d48f2db52ded4726b49010743e7d4f5459485a8ab3f0bb26bbafc7c19c08f84ed9f466eb1eee30d3381f87c18f107722c52fe6b1adee89c2ad39794fbb990127ec80f9a113bde1414b90809ca915de82e27823b0d816ccac6fe
+
+A = -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
+B = 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
+GCD = 669906cfd7f14d05a626062cf68fb90a666f7328cde6fc589a919bf105cf5342c006ef3da8074c48f4b087fa91cb7377dfbb5d1ba167590163ec5f145b299fb51e225efe6515e5a1e272013b671f6defd4823a2ddc161464fa4f05b607bdbc94dccfe92cc64f85adadce47e96d0942ac1c192dab5525961819a2005b5f33723b1aaac55b
+
+A = -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
+B = 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
+GCD = 20bc27d10879a749f8731a43d12b91a27efccbceb90b23544db8ecec9a3ac2db2c4402ded97dbf6a03bac6344bca62fbab91344ac557f8537c04cd4c65812199fbe1a40aaa1c484851550735314f158273d1c927b7dd516d5a8e8ae4a74ad6c27ef8f735cfc01dbe39a6cbe2c4a5253d4cf713ea0df14a0d63847f12b07268f16fbfc66f8
+
+A = -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
+B = 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
+GCD = ece242a01c0b2c4daaa38037d7b22421b66e321870107df8635723a9287c30dc81cc42e80cc2a14b62c23a117ebab6138d8cc5dda2e3dabdb29903b00b5a784b571f83b62bff71237405db944b32df92d156664712e8f3209f99cc5d94513c5dc34043c10c6473c13ee2ae9289a506df1bba78d3fcf72d5c9a73c40cdc5a4e4a435e27ab
+
+A = -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
+B = -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
+GCD = 8e7e3e423b1594da5e562308c2e1ff35045b92092cf91cad833a0f64a015aa3119770011029ea3d6ddfa9dedfb7c50e761329f50a81e24f6f1900121d58e5fc38d74a54f27256bca7a2e953c6140f1e1db54b31f1e7290c8981c68623a043553e4bdc95db4bd8ce38b9d00a52b7478d918ab867636e865f5b09ef3463a752d68389d0c04c
+
+A = -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
+B = -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
+GCD = 53333be01b3e2bfbf04d1677d7b059e069551affff56a6a25ce0a78b2b4bc2226b538cd30f61a8e0ec4ae2e28ab648d6c16a5eace16898f4ea9c69de6fb618a83273caa003ddc6cc33a5165416f6374df02f8ff3ca9467d38a8bb2ea2c4f89547cf14d5e1fd26352c3b7b5d0946e3ccf7ba658d86d1f1358bf49058476a89d22b518cdfdb6
+
+A = 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
+B = -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
+GCD = cfaf67474417ccb841f307f55e471037ac53c0a4cc8131e4d288f829f276f93a3dfbaf51ed3028f29e965dd380926426a2d110a4a141f046af0c951531813773359189d2e717560e4f16e80e4bd630a8922f0626a5d05f5c4bd9ec66422ead6b25b46017d1ad636cf9b8e7112a33fe66bdb9d0ece338e56b4bda1c877200eba011e1cda86
+
+A = -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
+B = -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
+GCD = 1c316c0d5e61fb4eaba8b5bc86da1d78b34c76107ce50b1dd6e38519ce8a50b4c04d5791ab9af772be819db4360b44b066734e8a7744de11ad75d8b7b8723976fb242153bf15f4f4cf71a15e5af6a98eedd89596a1083e4118bcebe7de4ce492361fb2dc8242bbad2f81ea0e0c76a5520cb8ede35be10d7863cf8b898b04a5a8fdb311e818
+
+A = 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
+B = 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
+GCD = 1216d48642c32e8dd3de1abd62b02603c90b32fb8b6ab8e98cf00fe1f5806ebf933e0d5b34d7cedcbab33f8cdf74f8869b4ce321f72723c390b745cdbac65b47f134eabdf9e622ef5690475df063111237263d171bdcd9b7f80f729061b314904eaef91562a3287598220aa6fdcb0d9d3cd3a6847046de1201142abd674bc3e8a82ba39a7ee
+
+A = -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
+B = 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
+GCD = 2b39e5b72535027a27e17a7b9ecdb73373a641f5be8ee8ca14baa8d2df49a3c3c20ea4a7493ad866c7f52dba2d3b2076f218e0395dda52109aa4d2a48505c01c8011cf9d6418d60802fa1681f573506a9788b77d341d1794950a9d686f32b470bac1452ef0334592ef9d389119e9b13c4e4686dd51709374634afd7a2da2d07a87127aa479
+
+A = -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
+B = 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
+GCD = 41e538e08a930f0494c72745b80a4c7100cfbb0bbcbcd9b9c6fb303b5a6aab391ca0315e383e81fa931adb42449613e77c971cd4df4759a51cc77747d47e7e3851bd4eb2d1c0579d43c27dd2174d29d87fca628fab8bef005657036eb3a2859d04a27b5efc87bc0e5a16f96d10107ae232614659bd31db9a0715d07aa995126c1f7c0b0325
+
+A = 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
+B = 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
+GCD = 14074e50d27d6938af1ad575241daaf9978627245ff8cf4416945013851cdd441052057322f3ec45520dc2eadccb83639fd8a17d9dc51133c74f2fc87429b9f1ca74f6204cc41dff4f9abe1cc28d95fe4f3eadda225453dd551cdb43a84abe586a1adb12c53cba7286352a36128d1a9dda87c6b2485a7334966ee645be5d882d969539906e6
+
+A = -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
+B = 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
+GCD = 1ca8143c210406e268b7652a3625b0579604e11f46bd37d07c19d47fe7156c5b26c86f22822818ad8be737cd832f63f28a8d29978de77f92cfc38bc07d88a5ed5faf668bdfaff5ae79ee721c2b9e16a0a1a9cbf145cf1a8c0553b354b5b9a2eb3f68009ad5c66e7bdac8e5ad1e6c191bd08974039e74d67dea481bcc16baa431ac35a27fd0d
+
+A = -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
+B = 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
+GCD = 71e6ad248b6d7622e69a71549e33d39325f5df86c1f397b2095fc6c08d2daa317fb71dd643f647e1738f59fb1c18f695a540db023f60b047a173ba7984b528f7c44167f4469bcd7ad8995169cb7b53c00c6b09573f695264805706e0f9b093affb72357834b507eff632321a9fe39dcdedbb4c62039a8b20c5f7e6e79b13abc3be351e13676
+
+A = -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
+B = 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
+GCD = 5081931aefb242c7dfe51de3b37cb2c1f9ec86f10c814a4e033ed1e994fbe768f598c0229275de9042b68687b2b08de512225fba6877ef62ce2752f86cc61f49c33d4bdc575771d98334521af506a724d6dca751350d8387b7afad95d2cb172a81aaea644d68b76f9bc0aec23375c10174b79beb8a0f4e6f41f07eace82140228e34548711d
+
+A = -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
+B = 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
+GCD = f501f2f3a21fbfe4b42be488a48557c0d5d3f0eed66ac01a0d2ccabc3eccdae9368d8689e57d6012b370a3a17ede6aad46ea1efa7ba0f3906b3dd4f2dc7b16f4af54cf7e5c316ae6f93104c6972fff40a80354189536b8da08884b03037dfcbe058ffdb8d2a8ea640e3f98144909633c8a6803b020df2df91a2e15d8c743ae697607a59f8e0
+
+A = 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
+B = -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
+GCD = 6285c2ef35040d0c8b2041ecb3652120420fd41b3288c7e3501618bc606ed9ec4938e02de51bfa938671e2df7cb145387e29b6a613bfccc975e2a4d53049b87f5473e4ad696fa698a4389d972ac6fa4898ed6965a02982598694c748827bb89dd120fb72f026492a80ad900444fa15dc309815aade990bf032f58f3a65c718b8b68b3576dedc
+
+A = -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
+B = 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
+GCD = 2e0e88c449605357a8d4ba914318d98187f1d945aa8aee2280d10b6cd3c6a0121a94313e281d22ad1710378c607099b097c99ce39607f366ae5403aeefe25ada4c50c642deb44774b9fa0995ad3782456521114579370691a679124cf8cdcf70a59744d56640ab94ea1f5b4302f87ccbe2039b94367ed8cdd003fc9c4053f844de46df0fa9f6
+
+A = -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
+B = 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
+GCD = 7953b4954af555caf5278b33990826784f1f240affe3d05c5a14f0e425b3d20f7137bd9e8f86c2cadc8111a8bd1e5a0cae0ddb5cec8f6277f50c432b2cd6c0e82c8bd3e666535e6ff059ee44d50f94a50fffeae9e5f0bc480350f779e606bc1e559c1f9b7046142269b2d4a54bbcd91d0e489aef9c5c78dffdecaa5e447684cd4e76e8aa52c3
+
+A = 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
+B = 4640d50a88fbd42e566a5a8a35e77f1cc5ab51da7858d4e0bb38f13ec258a310c9ee878249f9c40ca14b821d7382630fceaa2429a8d6371e8ce341bc77381d557f1de98f118fb732e78f43c27682c998bce30697c29b26964bbdc8b5978040516399e7ed850e5b95306aaf3f070230779c647e086d44bba4049cdf0bc6b1937ca15c5f18de91c8f48cb5c95b48113596e0c395f99c613884dce1d9de02771571752ee275f78fd5593c03fb50984851dcef67c83065037c1086cf9a1273d43ae59940d220407912253f100df63a93dfe00920ff5943fd43ed5fc6eb114039bdeac3d3cec319d86b7d3d7e13ee6d48a73772f8483ca40e2d0f54724933e001937cdf0ce3be5af8662c01144afe
+GCD = dbdafd5d80b8f16e14bc37a44c6063adc1684dafad76584f6b7a2effd1d66791469a0a2c1bf1a2ebe54cea60a77ba399de6bcc59c6eb3fba65d87a2fcecede80730e7391f7fd70ce03dfbfcc891664106dc8276ec7245d60f5fe619f35e8af1841367a4cd0ea692d0e46957844baed6b30cbdcb4ef922413c9b91c8c09caecb6103bc85e026d
+
+A = -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
+B = -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
+GCD = 14729f8a59c351782121bb434c363ce47e30c961b42c8222c9cd10742939a993352bea5c5874813c6d3f4e5f546993029cce710ca4760f5af8b5e2ff4cf1cf03b154f054c0dfcf3e604f0a2da387e9f540ec9ae94c59ec19a30f7272b912047451a6ef1251ae1b0e4a9dcacd80d7772f017d2a9a4163d82fe1da35f5d31d9d27163a1d6b7f3ba
+
+A = 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
+B = -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
+GCD = 3a2c5b44a5064167641c19592291b76459b504f91153c6d2e6ca1f57a69ccd1832ffb2e85f4df74937297eadc669c6a2cdbf01dbe43ae20d136fe9fce459962f43039d24213071e484ffa4c2ec5fa80277b80dfdf68b490a90c13469883de9130ca625e41115640a9813614a68fad1d2c00dc31c8a2128062c062f531893a2747bbe187f0312a
+
+A = 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
+B = 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
+GCD = 7bba9e7b68d528e59057364fa2c407ca821c04b42cd57212890e2a50ac83390826d2936c4ff3257d1ce399142beb17a5ffe3005208c9c5afde2e4a539db8a47884995eb282ff0697e43030cf497803d0b0b5a9f74035cdbfbd82710a1c3515d05a11f5f4b46bf33c4706a199ccc13324705be9faf653357adcaa60402963a415d4e4ba9677e65
+
+A = -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
+B = 18051960929d074624777849a7142e48fc75269fc5881ebbe6fddb5c9c1d0b5bc728270202fc7f3f9a73ecf79339f44e936be83a4d7d2aeb8861630851b5310267d7fccf92c0d166f6434ea01cf5c4a78e4511b95f22467b4736ebd30186d804e133a08a2d8a523267a9c11ff629e6756fa24978250fed9d8c475f107f7657ab342c58a96ca9278b238f0b65e8b4167c06c244e5d7579c8f45dad21872c90c0bd253cf8316eef49cc4dad73cde0a638e4bd694b7ad701d01d0b55edc6cfb13fca9d8ac6fd803e231260b0ee0209b2a45ef19d1f55cb152661528ff6b6924ffdf572e81180eff67723700ea9fc2314dbf2b73ad9a6de6abc45219b633fde77985bf800e861910c3bdad9fd9f87c
+GCD = 891fa5ee53d287ed91eaf87f3136e9aed12e000993ada8b756d5022fa9138d33c86400e68887ef58d04ee6a42dd51d2562a55f456dcb6ad3b118fcde4f80a44567ebd338b225a2214c2feda5390daca6ccc4ce55a6641acb71912860db28cc258fb854ddc8095a854d4dc1c74f525e313c8726614ae26e290657176cde169584b82d83b2979cc
+
+A = -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
+B = 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
+GCD = 1dd8ba55606f1503b6d013645e8d0e119e057a7e4ee90516eb08343eadda2eeb39e2e9fc7999be9464c8769bf5de5b36bf0807ef3b44f6d85e666e79ed845cb608165abace86e6bdfa1872c004c2a4403a2b71ef09defef17045909fa30b7e26c43f26142877f1bf2f1b5ef8cf07b4f6f88d6f5ecb6e4e946811334bdabe05cf1d0ae07a4554e8
+
+A = 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
+B = 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
+GCD = 13d301acb4f97a5deb2bff5bea432736aea5c4682f3b26327918b67b54bb8746ef6c498d7556a8ab5a443c42a62ff72379e6924b441fe322bde3d1505d65236edc66674009466b21b70a14391926bebcaa9b820ca0229c9599bd26ee4d4050f7dbb4298a87cf6811cdfceec16130fc196ffa41903fbe5519351d64dd028bd76858afeb81170ecd1
+
+A = 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
+B = -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
+GCD = 637c0719e5e2fdc4db6bafb8fc01eeb160309c12014305e0ffc8b5deaab31ee00a2e899809f0cd1c7b13210f77301958a92133116274f5ecbc96dd604d7b07bc243804823421ed0699a9f846796d43f4e96a674772a4b4ccff5b1d37e5d76965a790e3f5594e4ac32de6a62b4ae7bad8e972acff07c6cb59ea0b6627623b527894a6718a9e9d7a
+
+A = -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
+B = -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
+GCD = eb681af7393b187f21fca2198ff863011eb1c6d99f6e0658b22489a9b8432b533a00ac70cd1daa9a2917e9a3e1d65a0c52874be3695934766a8ab1482983a616163f9c49a6f8cdf4db7de27b607b123e23cca9072355109dd024412467402f2c01c94921f6d22463acf3264c19a78dbea0ef59a777cd19e03e1b2040c0e5d07b3ef5f34a5d6a01
+
+A = 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
+B = 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
+GCD = 1288a82d090c30126cc52961274d35f1a3a0d393c54274a1d5d10a9b9bc4ff7e64867e6e21557c21d3130d522627ab7100f1b72bd9ac73bd2119a1164785b791a4da66fd4b2aa8dd8e4a7e7a1b72e54770cb2de3021453253451483610a2de66a2d2c273f736df753ce774b1d65c0052080f1cccb2a238e1bbe932ece25f7463fd42f192f2a46d7
+
+A = -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
+B = 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
+GCD = 23c1c49b6c10736aea82a11344480c57c6f3e899517880498748c436851fc82f9bdc27275c1ed6f335e6fcfc91f8cbb517e297af3075534062374446e46dc720fcd4bda601c5dd6de2eef63e41759d7f5cd29e78bf602a3a45920b7f11fa00414e61ee99f536ab63a45b6e4da04c2586ede05f31453b7e5975c30959e9ced265f4ea7b2054c14dc
+
+A = 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
+B = 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
+GCD = 4358d21e8819bdb7fa6f4ad1978b9ab92adb4cfab6251b7448db6cba6eb65c98988128127a21ee50c122041267885332aace74e716fd6a0dd06ff2a2a371ffaaebe812ca919ba2d4bc00126f79ea1d6708187a105e05e4e23e07d6b45786a6f949a8b7f38b6f610daef78127255aadcdd9d958e8622957c4d8a939bf99393ce1b254bbe8290810f
+
+A = 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
+B = -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
+GCD = 929fc56193af43220bb8b258caf55d20dcbf9b4c5a9c72b0151fb2e676b7fa942d294eabc38be689d6dc4f5e1ba4e441470e81cfcfddbff7b4e6d66414c3aa3f1eee18f360e6bce779a64316bad7a1914f4112ad0de6301f6f478d3e34079734ad2f510e212863da53588a8fa05d2239c4f72aa05e756181e61d6086ee3050f99af82dabaecb38f
+
+A = 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
+B = -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
+GCD = 1184caedbc857a571e163d9db99552ed498c1a6eef5abfdf0b2f655dc8e5f9538d9c9c371a2fbc2fadb2ea8973066364f8b211ec862e94f1d7d15242bd5106a101cbee70b6318ad02ba149c1fc19cf34c0e11f7d99576840c1ace56fe31e35f2f33d36285250a90f1837453d7a89729406829462ab55d7591dc00ddb06c9852814f42e2682726482
+
+A = 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
+B = -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
+GCD = 3176f95620a041ad21ea85ccf6dbf566d4089638c14017e351e874e39cac86aef060358ecccc11845f179f498b81842d776d5d79db0268a8930f90b77559374567c8759c5e9e28d95bde79c78f51787052e7c67280cb8b17aba50156f05a681ff88dbd525b4f78ee324126f5baa8eee83624bc38df080a8d0bcbabcca7098eb85ed040eeb65d16f66
+
+A = 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
+B = 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
+GCD = 5e8e3ddae831f42ae315136017111624aec5d2c4f3ad57f5c408ee94dd7f2033eb5f48f21dea9476db60aa02a141c39e45dfba7ed531c85745ab2b7d923abfbe74b382d71099b26ff5988dde70ef696a2621fb369e369f6288f91c1c1934a85fd0aca79a33ff77db1f698ec095da36c6f722f9746844f8554dabe0250aaa2edad199f79732fc4cf1
+
+A = 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
+B = 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
+GCD = 524ac8b2820605cc51b8ec2b9d1f283c8df0e639bdecf4b670c30a68a3273dd08e9963e964c5bfd1261b8de70eebc776ab8b02f5cc141705f39e7637170c283df86e90003e35bb16828eed7fb56a8db2729aab01efd8296dd205fd9f0d3946565908c70ec148db9c1529810a4eb9d9e10e14c8ae5bf0fc861a29b41d1f3ebef0e3399700866e2933c
+
+A = 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
+B = -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
+GCD = 1f87a51efe5b0fa59caf2cb864ecb1b2b1a00ad8322085d975f0bf8fcbf73f195c58f1cf1e3561ec0f7331e1f214ecf913d9e9de76d8fc6402948642b785c1cb36319360cd7ee27387919cf36080109d1ff9777eed5bf95b7fe2d174bfbf67bd3dd81ed985721244682176fb6b54c4730107b16fe41e08105c2afff1d4edef299283dd9e82cc6cafa
+
+A = -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
+B = -50d6bdf1d4918bdd8e5b8c36447c6ba21b1dc52ebf434c69feef9303e2401a4dcf36c1ba935dfd67ffe108cb2f21cb045ffe041cfc68a0d463e8288b51dadad10344241e660a7ffd4e1539bca21ae2da4fea1aa10287188bcdd4e4946a4eb1744db38fe3c66ec542f1d79b36416f660a0ae6c230a21a90d972494005ece6232b99c0e758e507389a8e9028bfad47d0e97e4a09fe69a1775132b005453458ebc5a066ec5ae780cd549228adaab9a0427390e1137f535eaf1d468fd043be5eb5a5fe1e6df48102f5681e89f8c0ea9a9973e9755d424697a1c0b5e6629f1b7e6a391d360b670f51adf89a615aa09ca48eadf4266482afb7cfc9b1ffafae6000f386e9f55df77df85360e5888a606cdae5a96
+GCD = 384d8cb23deb11876000a97f36c0935bee4d62203096f0ec7f9a4ac2375f66829547986e3e08870a0ab9f96acd1b31508a4fcb0fc657a644917aad211922b960dae44f406f05fdac72e1814bb0b61652edb8bc07e21b7ce11cc8ab8e18898836f21ec94266a4c73988c76c79820164335d1e4e014abd9be600140b2384afc6bd5c98d81d249120569
+
+A = 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
+B = -132fecbcff4a181f2c8d0dce9d6c59d3539ac5ecdb0cc3a844c55c64904df3e1e37a6d6db34f19d081a516deccc0ee5f8a1648fcd7f9b44421660e504ba3ee4c680c7ba78535d5c892fba5017644d0ba860fce39d7078c03ab902ecfd9676aa24714e35fbda79a9770f202bae311a977f50d86398e8e3ae5ad47b5c2f72e90126d01a554bf592138b8ebaf838157303fa3b2c3b0d998575c34851666b0d6325eed741d7f1ad4c99b930f702167acc3b3091169a31740ce87d0714f5eac9cbbde8a3e81ccc12f809d18b6f3e5909393b3b3449e8b8bc5d0dcecb185b4e0abc5a9baec3e381367ea4196ec04b5a2ff8d6da984e3eaf036d14b8e3c70ff879f4308a3e20818914b9804a691062bf1a966a780
+GCD = 3b53e7230757053e0ad86a2ee8dbeb49fe8b60625e77dcaf1599b765083c6eea2addb26d2a8a421de10574410f207f33a24301d412eae3f6eb08289b977a48e4e6f8b3041127fb7bcbf5a8e2f4e9b2c13e5f0622ce46dc8dc9d8e8697a50ddd7a37d9764ddc1859a44e47d184dd30c7737039216cafe6931bb4c8f5816b3ab56dd2fef1ee219959380
+
+A = 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
+B = -3ff6520cb83fa7df001bf2f8daed79b497f6bb34e7edc8cae52c2f94159adb79127f5130c639ca55e605b76d24a4ef54e53ddc7c5696c6470a89cff447f0fa0331f41b7f2211449a22c030071dd1fb45505018b2f76e2536de44b06bab358a4d42a1f71a8153e39d62549720d28dbd4161eda32e6eb8867d3c02b5caf0af66a5927decabab1a73360977afaa0a65da7c275b85216fd71dc7d9875331e634bee302bf970509c788e3cb4bfd8b35573b8c97cba8b909f781a2730c300949d788c6b98044213dc7c9004c6012b9307206723cb8fbc95608d501288b9a5eabec461092c9ca76a3e10b79f5718fd56944ef859b32ef429509e2d242720c4d2d46b10dd03c869bcad2c8312b71dbe18b29591f84
+GCD = cdb6f4e9c29d299805159a1ccf5c4cb64dc5e3977f9f60743eff5f005381d4a67a5f42095ff7e97c82e68c46fd5535d5f36091b6136d4d59ca551983f2c37504320d3eb72bfbfc449da9577ebf4ef2088e6b1eb9b2cf8024c8bb6b1252f99d93f5435258d1f65db5aa9f036f6bb0166f05e4b43c28d2065d49c779fa20fac69110a69d1eacf253c86
+
+A = -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
+B = -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
+GCD = 185561aea368640f959192c8a920128db7ca628b3d1b2cac30a13a1001b29ec59b2fbf2a489462adf3bad76bb66d2f5a9b7f0d075034b09d80ce602639e923778ad60f2640283d64328af605b82475c92ddc9c58cd92f792b2ca6a602e7c09ee7bb20487e673c65a65067d4c32aeacd91ba63679bec224769295a926d4381b9d72f80a8948837bdad8
+
+A = 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
+B = 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
+GCD = 22c04f016b106e8634db74c3a7537d70fc17a822ea286430befd67bd916620cfff9510599ca31f139ef59f171d7c11f7a59b0fcd22cedc93b06281c3187217cd55e4d98c90c3da9b582693b67752e7d7b13bd0db632aabf2daab8a27e49f14fe3fa4f7915a2f34981edea0d6819ba022633b3e1000d4b0dac3ba126544265bff870f0bc47326d924b2
+
+A = 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
+B = 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
+GCD = 59824fc44c1ae92ebf3ef5d024c6a890d3ab4a8a6334fc7b3f645bff451b54d131fb13059b57393e76cadeefbedde85414eca7064643dbdb6d9e364f9cf7bfe4b88cc0b72e1958bf4086fb01b01293d4807deb6bdedc03270e405d7c325e0aa2820d54282bf389d6340c55c0ef2282faca675faf55e160e7d1f2097e8a0637753e365b03b87f4bb7e8
+
+A = -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
+B = 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
+GCD = c2151dc3983722ed6283617e44a828d911ed3db448f1e78529bdb7eb8585b77dadeda19ca05586f9ce138c5c68a854bb0ffed062471ca3c8d4766a49fdb777a329dc1719f2f615fc356f97b0acea290d4ec1a0cb692b6244040f20851392f4fae804a22860f7982f4bf18d21ac5824eb369b7d81b68b9d0098ba9ea71d42c62e74a7be1d71b7f29455
+
+A = 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
+B = 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
+GCD = 19462da8985245b5f0234342ed254102218663d120c7b7f2fd9f9d1dddb3d03d4c126423c53ef1262e946319d5dc889f6f9faed4abe7052ac1127c84c9f99751de247eb4ecf89865da9ad962c1cd599c5c2bd7704f37e476a9790dacc7d9c94339e4f6e1fa25c168bf72f168c9af402605d714e690da4ec7c3782ba87afe9555499edb2e825bb0b443a
+
+A = 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
+B = -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
+GCD = 33024f5087d06c57e1e0a1ab0e80fd9197b79a8a23b052dc13840e96620fc09100cc3d8b5613c50e4e2139704a5eac581854a7fae2dd549ac203ec5cdbd3f8c34aa9a403e4e26e64dc656f0ac8fce6e23778d96e9cdca38a61a942750d42d99f546ebb06ce33f0c79620a2a48c23ca74642dc33b149f329e2701ee24fd00a3c3b7cbb54c132b9f3aae7
+
+A = 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
+B = -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
+GCD = 5c3140e5edd044d33799aff3d29be00220d86be14a0b20cd585bef447b7be4fc4c6348dbe2dd615b47e64ac95c5d1c29911c58d06f7334f38d7e9010e404a3fa756600f2706242c5c7aeb5224c4f4b52d9e3253457161f30dabc123725098a145f94da649d6961a0d4f9fd8d16a2f89a64dfc4e0066da3a12d2abb341e7bf92035152bac699feb98202
+
+A = -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
+B = 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+A = -d343e7f8f9dd3eec7a78eff83bb5d8539babfc7185e14e17273426bd3a350899a2b8009a9aeb5ef56ba929d134e274d3ff00290048a63ad44cd48daf3b0a71ff6a641965a4e45a7e0ef9b5108b3c5501865b3570a1dceff8158c26c58c6063472d686f2254d79069ccfd1d82f6fbd4c48ccb3b5954582f42194e4ab614e1906026eaf280095e316c000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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+A = -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+A = 1218e061ec1213c57c98016b710ea81483fbf3f771dd7e3e1b8ccb85491864fb3e746d64bf43a1d7f95271e54134555d3238fe8902efe5f7dcc07209d0e0d9f63a5e2c7d4d33b39d2c8e3281da2131ee692f9be2a6dc7a715b46c2c0e9f716dc4f847175333aac66a1a063f2583608f175c88d1d42e6e95e895ddcf5f36dc67200d33a561c8b8d1a1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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+GCD = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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+A = 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
+B = 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
+GCD = 2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+A = -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
+B = 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
+GCD = 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+A = -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
+B = 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
+GCD = 8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+A = -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
+B = 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
+GCD = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+A = -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
+B = -22ec4110e9faecf4bfe1d4376af3eaa816fec44fe4f0efdd19a1c70283c43144d3aaca24f4746a1a5350a6eb6e713a85b606430dbfb7803928b875463800f491e3474b9281a9c6489802b05e9e4e6c060bb2e684c946d95c3a4fe500b59c914f524b23d7ac4acd3820b10db7d4c34d9ce8edd2cfaebcf1f4c2dc84fa08703fcef677bbd90e37d82e9980000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+GCD = 80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+A = -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
+B = -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
+GCD = 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+
+A = 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
+B = 20d05fc0686051297fef03b2e53ef9eec2d2a0cd3aa4de878311aaa7f544ad19c04fd2b79800bbcb742732aa39a16a59695a0464a4faac7e6ce87018408e89ae96266058b0448722c5b04d8c30e1d619a2c644528afd132a6975cc1023dd2cafae93bf2d6ed9508a8832ed41934cbb11c3bcb51db4de08e934edc941d369dac0aa54ddc2eefa3e1d65000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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diff --git a/test/recipes/15-test_ec.t b/test/recipes/15-test_ec.t
index a1c704a3..87301665 100644
--- a/test/recipes/15-test_ec.t
+++ b/test/recipes/15-test_ec.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -16,23 +16,51 @@ use OpenSSL::Test::Utils;
setup("test_ec");
-plan tests => 5;
+plan tests => 11;
require_ok(srctop_file('test','recipes','tconversion.pl'));
ok(run(test(["ectest"])), "running ectest");
- SKIP: {
- skip "Skipping ec conversion test", 3
- if disabled("ec");
-
- subtest 'ec conversions -- private key' => sub {
- tconversion("ec", srctop_file("test","testec-p256.pem"));
- };
- subtest 'ec conversions -- private key PKCS#8' => sub {
- tconversion("ec", srctop_file("test","testec-p256.pem"), "pkey");
- };
- subtest 'ec conversions -- public key' => sub {
- tconversion("ec", srctop_file("test","testecpub-p256.pem"), "ec", "-pubin", "-pubout");
- };
+SKIP: {
+ skip "Skipping EC conversion test", 3
+ if disabled("ec");
+
+ subtest 'EC conversions -- private key' => sub {
+ tconversion("ec", srctop_file("test","testec-p256.pem"));
+ };
+ subtest 'EC conversions -- private key PKCS#8' => sub {
+ tconversion("ec", srctop_file("test","testec-p256.pem"), "pkey");
+ };
+ subtest 'EC conversions -- public key' => sub {
+ tconversion("ec", srctop_file("test","testecpub-p256.pem"),
+ "ec", "-pubin", "-pubout");
+ };
+}
+
+SKIP: {
+ skip "Skipping EdDSA conversion test", 6
+ if disabled("ec");
+
+ subtest 'Ed25519 conversions -- private key' => sub {
+ tconversion("pkey", srctop_file("test","tested25519.pem"));
+ };
+ subtest 'Ed25519 conversions -- private key PKCS#8' => sub {
+ tconversion("pkey", srctop_file("test","tested25519.pem"), "pkey");
+ };
+ subtest 'Ed25519 conversions -- public key' => sub {
+ tconversion("pkey", srctop_file("test","tested25519pub.pem"),
+ "pkey", "-pubin", "-pubout");
+ };
+
+ subtest 'Ed448 conversions -- private key' => sub {
+ tconversion("pkey", srctop_file("test","tested448.pem"));
+ };
+ subtest 'Ed448 conversions -- private key PKCS#8' => sub {
+ tconversion("pkey", srctop_file("test","tested448.pem"), "pkey");
+ };
+ subtest 'Ed448 conversions -- public key' => sub {
+ tconversion("pkey", srctop_file("test","tested448pub.pem"),
+ "pkey", "-pubin", "-pubout");
+ };
}
diff --git a/test/recipes/15-test_genec.t b/test/recipes/15-test_genec.t
new file mode 100644
index 00000000..1b7ec026
--- /dev/null
+++ b/test/recipes/15-test_genec.t
@@ -0,0 +1,306 @@
+#! /usr/bin/env perl
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the Apache License 2.0 (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+
+
+use strict;
+use warnings;
+
+use File::Spec;
+use OpenSSL::Test qw/:DEFAULT srctop_file/;
+use OpenSSL::Test::Utils;
+
+setup("test_genec");
+
+plan skip_all => "This test is unsupported in a no-ec build"
+ if disabled("ec");
+
+my @prime_curves = qw(
+ secp112r1
+ secp112r2
+ secp128r1
+ secp128r2
+ secp160k1
+ secp160r1
+ secp160r2
+ secp192k1
+ secp224k1
+ secp224r1
+ secp256k1
+ secp384r1
+ secp521r1
+ prime192v1
+ prime192v2
+ prime192v3
+ prime239v1
+ prime239v2
+ prime239v3
+ prime256v1
+ wap-wsg-idm-ecid-wtls6
+ wap-wsg-idm-ecid-wtls7
+ wap-wsg-idm-ecid-wtls8
+ wap-wsg-idm-ecid-wtls9
+ wap-wsg-idm-ecid-wtls12
+ brainpoolP160r1
+ brainpoolP160t1
+ brainpoolP192r1
+ brainpoolP192t1
+ brainpoolP224r1
+ brainpoolP224t1
+ brainpoolP256r1
+ brainpoolP256t1
+ brainpoolP320r1
+ brainpoolP320t1
+ brainpoolP384r1
+ brainpoolP384t1
+ brainpoolP512r1
+ brainpoolP512t1
+);
+
+my @binary_curves = qw(
+ sect113r1
+ sect113r2
+ sect131r1
+ sect131r2
+ sect163k1
+ sect163r1
+ sect163r2
+ sect193r1
+ sect193r2
+ sect233k1
+ sect233r1
+ sect239k1
+ sect283k1
+ sect283r1
+ sect409k1
+ sect409r1
+ sect571k1
+ sect571r1
+ c2pnb163v1
+ c2pnb163v2
+ c2pnb163v3
+ c2pnb176v1
+ c2tnb191v1
+ c2tnb191v2
+ c2tnb191v3
+ c2pnb208w1
+ c2tnb239v1
+ c2tnb239v2
+ c2tnb239v3
+ c2pnb272w1
+ c2pnb304w1
+ c2tnb359v1
+ c2pnb368w1
+ c2tnb431r1
+ wap-wsg-idm-ecid-wtls1
+ wap-wsg-idm-ecid-wtls3
+ wap-wsg-idm-ecid-wtls4
+ wap-wsg-idm-ecid-wtls5
+ wap-wsg-idm-ecid-wtls10
+ wap-wsg-idm-ecid-wtls11
+);
+
+my @explicit_only_curves = ();
+push(@explicit_only_curves, qw(
+ Oakley-EC2N-3
+ Oakley-EC2N-4
+ )) if !disabled("ec2m");
+
+my @other_curves = ();
+push(@other_curves, 'SM2')
+ if !disabled("sm2");
+
+my @curve_aliases = qw(
+ P-192
+ P-224
+ P-256
+ P-384
+ P-521
+);
+push(@curve_aliases, qw(
+ B-163
+ B-233
+ B-283
+ B-409
+ B-571
+ K-163
+ K-233
+ K-283
+ K-409
+ K-571
+)) if !disabled("ec2m");
+
+my @curve_list = ();
+push(@curve_list, @prime_curves);
+push(@curve_list, @binary_curves)
+ if !disabled("ec2m");
+push(@curve_list, @other_curves);
+push(@curve_list, @curve_aliases);
+
+my @params_encodings = ('named_curve', 'explicit');
+
+my @output_formats = ('PEM', 'DER');
+
+plan tests => scalar(@curve_list) * scalar(@params_encodings)
+ * (1 + scalar(@output_formats)) # Try listed @output_formats and text output
+ * 2 # Test generating parameters and keys
+ + 1 # Checking that with no curve it fails
+ + 1 # Checking that with unknown curve it fails
+ + 1 # Subtest for explicit only curves
+ ;
+
+ok(!run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC'])),
+ "genpkey EC with no params should fail");
+
+ok(!run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:bogus_foobar_curve'])),
+ "genpkey EC with unknown curve name should fail");
+
+foreach my $curvename (@curve_list) {
+ foreach my $paramenc (@params_encodings) {
+
+ # --- Test generating parameters ---
+
+ ok(run(app([ 'openssl', 'genpkey', '-genparam',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-text'])),
+ "genpkey EC params ${curvename} with ec_param_enc:'${paramenc}' (text)");
+
+ foreach my $outform (@output_formats) {
+ my $outfile = "ecgen.${curvename}.${paramenc}." . lc $outform;
+ ok(run(app([ 'openssl', 'genpkey', '-genparam',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-outform', $outform,
+ '-out', $outfile])),
+ "genpkey EC params ${curvename} with ec_param_enc:'${paramenc}' (${outform})");
+ }
+
+ # --- Test generating actual keys ---
+
+ ok(run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-text'])),
+ "genpkey EC key on ${curvename} with ec_param_enc:'${paramenc}' (text)");
+
+ foreach my $outform (@output_formats) {
+ my $outfile = "ecgen.${curvename}.${paramenc}." . lc $outform;
+ ok(run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-outform', $outform,
+ '-out', $outfile])),
+ "genpkey EC key on ${curvename} with ec_param_enc:'${paramenc}' (${outform})");
+ }
+ }
+}
+
+subtest "test curves that only support explicit parameters encoding" => sub {
+ @curve_list = @explicit_only_curves;
+
+ plan skip_all => "This test is unsupported under current configuration"
+ if scalar(@curve_list) <= 0;
+
+ plan tests => scalar(@curve_list) * scalar(@params_encodings)
+ * (1 + scalar(@output_formats)) # Try listed @output_formats and text output
+ * 2 # Test generating parameters and keys
+ ;
+
+ foreach my $curvename (@curve_list) {
+ my $paramenc = "explicit";
+
+ # --- Test generating parameters ---
+
+ ok(run(app([ 'openssl', 'genpkey', '-genparam',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-text'])),
+ "genpkey EC params ${curvename} with ec_param_enc:'${paramenc}' (text)");
+
+ foreach my $outform (@output_formats) {
+ my $outfile = "ecgen.${curvename}.${paramenc}." . lc $outform;
+ ok(run(app([ 'openssl', 'genpkey', '-genparam',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-outform', $outform,
+ '-out', $outfile])),
+ "genpkey EC params ${curvename} with ec_param_enc:'${paramenc}' (${outform})");
+ }
+
+ # --- Test generating actual keys ---
+
+ ok(run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-text'])),
+ "genpkey EC key on ${curvename} with ec_param_enc:'${paramenc}' (text)");
+
+ foreach my $outform (@output_formats) {
+ my $outfile = "ecgen.${curvename}.${paramenc}." . lc $outform;
+ ok(run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-outform', $outform,
+ '-out', $outfile])),
+ "genpkey EC key on ${curvename} with ec_param_enc:'${paramenc}' (${outform})");
+ }
+
+ my $paramenc = "named_curve";
+
+ # --- Test generating parameters ---
+
+ ok(!run(app([ 'openssl', 'genpkey', '-genparam',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-text'])),
+ "genpkey EC params ${curvename} with ec_param_enc:'${paramenc}' (text)");
+
+ foreach my $outform (@output_formats) {
+ my $outfile = "ecgen.${curvename}.${paramenc}." . lc $outform;
+ ok(!run(app([ 'openssl', 'genpkey', '-genparam',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-outform', $outform,
+ '-out', $outfile])),
+ "genpkey EC params ${curvename} with ec_param_enc:'${paramenc}' (${outform})");
+ }
+
+ # --- Test generating actual keys ---
+
+ ok(!run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-text'])),
+ "genpkey EC key on ${curvename} with ec_param_enc:'${paramenc}' (text)");
+
+ foreach my $outform (@output_formats) {
+ my $outfile = "ecgen.${curvename}.${paramenc}." . lc $outform;
+ ok(!run(app([ 'openssl', 'genpkey',
+ '-algorithm', 'EC',
+ '-pkeyopt', 'ec_paramgen_curve:'.$curvename,
+ '-pkeyopt', 'ec_param_enc:'.$paramenc,
+ '-outform', $outform,
+ '-out', $outfile])),
+ "genpkey EC key on ${curvename} with ec_param_enc:'${paramenc}' (${outform})");
+ }
+ }
+};
diff --git a/test/recipes/20-test_dgst.t b/test/recipes/20-test_dgst.t
new file mode 100644
index 00000000..13c2b3af
--- /dev/null
+++ b/test/recipes/20-test_dgst.t
@@ -0,0 +1,104 @@
+#! /usr/bin/env perl
+# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the Apache License 2.0 (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+
+
+use strict;
+use warnings;
+
+use File::Spec;
+use OpenSSL::Test qw/:DEFAULT with srctop_file/;
+use OpenSSL::Test::Utils;
+
+setup("test_dgst");
+
+plan tests => 5;
+
+sub tsignverify {
+ my $testtext = shift;
+ my $privkey = shift;
+ my $pubkey = shift;
+
+ my $data_to_sign = srctop_file('test', 'README');
+ my $other_data = srctop_file('test', 'README.external');
+
+ plan tests => 4;
+
+ ok(run(app(['openssl', 'dgst', '-sign', $privkey,
+ '-out', 'testdgst.sig',
+ $data_to_sign])),
+ $testtext.": Generating signature");
+
+ ok(run(app(['openssl', 'dgst', '-prverify', $privkey,
+ '-signature', 'testdgst.sig',
+ $data_to_sign])),
+ $testtext.": Verify signature with private key");
+
+ ok(run(app(['openssl', 'dgst', '-verify', $pubkey,
+ '-signature', 'testdgst.sig',
+ $data_to_sign])),
+ $testtext.": Verify signature with public key");
+
+ ok(!run(app(['openssl', 'dgst', '-verify', $pubkey,
+ '-signature', 'testdgst.sig',
+ $other_data])),
+ $testtext.": Expect failure verifying mismatching data");
+
+ unlink 'testdgst.sig';
+}
+
+SKIP: {
+ skip "RSA is not supported by this OpenSSL build", 1
+ if disabled("rsa");
+
+ subtest "RSA signature generation and verification with `dgst` CLI" => sub {
+ tsignverify("RSA",
+ srctop_file("test","testrsa.pem"),
+ srctop_file("test","testrsapub.pem"));
+ };
+}
+
+SKIP: {
+ skip "DSA is not supported by this OpenSSL build", 1
+ if disabled("dsa");
+
+ subtest "DSA signature generation and verification with `dgst` CLI" => sub {
+ tsignverify("DSA",
+ srctop_file("test","testdsa.pem"),
+ srctop_file("test","testdsapub.pem"));
+ };
+}
+
+SKIP: {
+ skip "ECDSA is not supported by this OpenSSL build", 1
+ if disabled("ec");
+
+ subtest "ECDSA signature generation and verification with `dgst` CLI" => sub {
+ tsignverify("ECDSA",
+ srctop_file("test","testec-p256.pem"),
+ srctop_file("test","testecpub-p256.pem"));
+ };
+}
+
+SKIP: {
+ skip "EdDSA is not supported by this OpenSSL build", 2
+ if disabled("ec");
+
+ skip "EdDSA is not supported with `dgst` CLI", 2;
+
+ subtest "Ed25519 signature generation and verification with `dgst` CLI" => sub {
+ tsignverify("Ed25519",
+ srctop_file("test","tested25519.pem"),
+ srctop_file("test","tested25519pub.pem"));
+ };
+
+ subtest "Ed448 signature generation and verification with `dgst` CLI" => sub {
+ tsignverify("Ed448",
+ srctop_file("test","tested448.pem"),
+ srctop_file("test","tested448pub.pem"));
+ };
+}
diff --git a/test/recipes/25-test_req.t b/test/recipes/25-test_req.t
index 17a98dc9..5e1ea308 100644
--- a/test/recipes/25-test_req.t
+++ b/test/recipes/25-test_req.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -15,7 +15,7 @@ use OpenSSL::Test qw/:DEFAULT srctop_file/;
setup("test_req");
-plan tests => 9;
+plan tests => 14;
require_ok(srctop_file('test','recipes','tconversion.pl'));
@@ -46,24 +46,124 @@ ok(!run(app([@addext_args, "-addext", $val, "-addext", $val2])));
ok(!run(app([@addext_args, "-addext", $val, "-addext", $val3])));
ok(!run(app([@addext_args, "-addext", $val2, "-addext", $val3])));
+subtest "generating certificate requests with RSA" => sub {
+ plan tests => 2;
+
+ SKIP: {
+ skip "RSA is not supported by this OpenSSL build", 2
+ if disabled("rsa");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq.pem", "-utf8",
+ "-key", srctop_file("test", "testrsa.pem")])),
+ "Generating request");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq.pem", "-noout"])),
+ "Verifying signature on request");
+ }
+};
+
+subtest "generating certificate requests with DSA" => sub {
+ plan tests => 2;
+
+ SKIP: {
+ skip "DSA is not supported by this OpenSSL build", 2
+ if disabled("dsa");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq.pem", "-utf8",
+ "-key", srctop_file("test", "testdsa.pem")])),
+ "Generating request");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq.pem", "-noout"])),
+ "Verifying signature on request");
+ }
+};
+
+subtest "generating certificate requests with ECDSA" => sub {
+ plan tests => 2;
+
+ SKIP: {
+ skip "ECDSA is not supported by this OpenSSL build", 2
+ if disabled("ec");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq.pem", "-utf8",
+ "-key", srctop_file("test", "testec-p256.pem")])),
+ "Generating request");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq.pem", "-noout"])),
+ "Verifying signature on request");
+ }
+};
+
+subtest "generating certificate requests with Ed25519" => sub {
+ plan tests => 2;
+
+ SKIP: {
+ skip "Ed25519 is not supported by this OpenSSL build", 2
+ if disabled("ec");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq.pem", "-utf8",
+ "-key", srctop_file("test", "tested25519.pem")])),
+ "Generating request");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq.pem", "-noout"])),
+ "Verifying signature on request");
+ }
+};
+
+subtest "generating certificate requests with Ed448" => sub {
+ plan tests => 2;
+
+ SKIP: {
+ skip "Ed448 is not supported by this OpenSSL build", 2
+ if disabled("ec");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq.pem", "-utf8",
+ "-key", srctop_file("test", "tested448.pem")])),
+ "Generating request");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq.pem", "-noout"])),
+ "Verifying signature on request");
+ }
+};
+
subtest "generating certificate requests" => sub {
plan tests => 2;
ok(run(app(["openssl", "req", "-config", srctop_file("test", "test.cnf"),
- @req_new, "-out", "testreq.pem"])),
+ @req_new, "-out", "testreq.pem"])),
"Generating request");
ok(run(app(["openssl", "req", "-config", srctop_file("test", "test.cnf"),
- "-verify", "-in", "testreq.pem", "-noout"])),
+ "-verify", "-in", "testreq.pem", "-noout"])),
"Verifying signature on request");
};
my @openssl_args = ("req", "-config", srctop_file("apps", "openssl.cnf"));
run_conversion('req conversions',
- "testreq.pem");
+ "testreq.pem");
run_conversion('req conversions -- testreq2',
- srctop_file("test", "testreq2.pem"));
+ srctop_file("test", "testreq2.pem"));
unlink "testkey.pem", "testreq.pem";
@@ -72,20 +172,20 @@ sub run_conversion {
my $reqfile = shift;
subtest $title => sub {
- run(app(["openssl", @openssl_args,
- "-in", $reqfile, "-inform", "p",
- "-noout", "-text"],
- stderr => "req-check.err", stdout => undef));
- open DATA, "req-check.err";
- SKIP: {
- plan skip_all => "skipping req conversion test for $reqfile"
- if grep /Unknown Public Key/, map { s/\R//; } <DATA>;
-
- tconversion("req", $reqfile, @openssl_args);
- }
- close DATA;
- unlink "req-check.err";
-
- done_testing();
+ run(app(["openssl", @openssl_args,
+ "-in", $reqfile, "-inform", "p",
+ "-noout", "-text"],
+ stderr => "req-check.err", stdout => undef));
+ open DATA, "req-check.err";
+ SKIP: {
+ plan skip_all => "skipping req conversion test for $reqfile"
+ if grep /Unknown Public Key/, map { s/\R//; } <DATA>;
+
+ tconversion("req", $reqfile, @openssl_args);
+ }
+ close DATA;
+ unlink "req-check.err";
+
+ done_testing();
};
}
diff --git a/test/recipes/25-test_verify.t b/test/recipes/25-test_verify.t
index b80a1cde..96b559e5 100644
--- a/test/recipes/25-test_verify.t
+++ b/test/recipes/25-test_verify.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -27,7 +27,7 @@ sub verify {
run(app([@args]));
}
-plan tests => 135;
+plan tests => 146;
# Canonical success
ok(verify("ee-cert", "sslserver", ["root-cert"], ["ca-cert"]),
@@ -132,6 +132,10 @@ ok(!verify("ee-cert", "sslserver", [], [qw(ca-cert)], "-partial_chain"),
"fail untrusted partial chain");
ok(verify("ee-cert", "sslserver", [qw(ca-cert)], [], "-partial_chain"),
"accept trusted partial chain");
+ok(!verify("ee-cert", "sslserver", [qw(ca-expired)], [], "-partial_chain"),
+ "reject expired trusted partial chain"); # this check is beyond RFC 5280
+ok(!verify("ee-cert", "sslserver", [qw(root-expired)], [qw(ca-cert)]),
+ "reject expired trusted root"); # this check is beyond RFC 5280
ok(verify("ee-cert", "sslserver", [qw(sca-cert)], [], "-partial_chain"),
"accept partial chain with server purpose");
ok(!verify("ee-cert", "sslserver", [qw(cca-cert)], [], "-partial_chain"),
@@ -222,6 +226,10 @@ ok(verify("ee-client", "sslclient", [qw(ee+clientAuth)], [], "-partial_chain"),
"accept direct match with client trust");
ok(!verify("ee-client", "sslclient", [qw(ee-clientAuth)], [], "-partial_chain"),
"reject direct match with client mistrust");
+ok(verify("ee-pathlen", "sslserver", [qw(root-cert)], [qw(ca-cert)]),
+ "accept non-ca with pathlen:0 by default");
+ok(!verify("ee-pathlen", "sslserver", [qw(root-cert)], [qw(ca-cert)], "-x509_strict"),
+ "reject non-ca with pathlen:0 with strict flag");
# Proxy certificates
ok(!verify("pc1-cert", "sslclient", [qw(root-cert)], [qw(ee-client ca-cert)]),
@@ -276,6 +284,27 @@ ok(verify("ee-cert-md5", "sslserver", ["root-cert"], ["ca-cert"], "-auth_level",
ok(!verify("ee-cert-md5", "sslserver", ["root-cert"], ["ca-cert"]),
"reject md5 leaf at auth level 1");
+# Explicit vs named curve tests
+SKIP: {
+ skip "EC is not supported by this OpenSSL build", 5
+ if disabled("ec");
+ ok(verify("ee-cert-ec-explicit", "sslserver", ["root-cert"],
+ ["ca-cert-ec-named"]),
+ "accept explicit curve leaf with named curve intermediate without strict");
+ ok(verify("ee-cert-ec-named-explicit", "sslserver", ["root-cert"],
+ ["ca-cert-ec-explicit"]),
+ "accept named curve leaf with explicit curve intermediate without strict");
+ ok(!verify("ee-cert-ec-explicit", "sslserver", ["root-cert"],
+ ["ca-cert-ec-named"], "-x509_strict"),
+ "reject explicit curve leaf with named curve intermediate with strict");
+ ok(!verify("ee-cert-ec-named-explicit", "sslserver", ["root-cert"],
+ ["ca-cert-ec-explicit"], "-x509_strict"),
+ "reject named curve leaf with explicit curve intermediate with strict");
+ ok(verify("ee-cert-ec-named-named", "sslserver", ["root-cert"],
+ ["ca-cert-ec-named"], "-x509_strict"),
+ "accept named curve leaf with named curve intermediate with strict");
+}
+
# Depth tests, note the depth limit bounds the number of CA certificates
# between the trust-anchor and the leaf, so, for example, with a root->ca->leaf
# chain, depth = 1 is sufficient, but depth == 0 is not.
@@ -348,6 +377,9 @@ ok(!verify("ee-pss-sha1-cert", "sslserver", ["root-cert"], ["ca-cert"], "-auth_l
ok(verify("ee-pss-sha256-cert", "sslserver", ["root-cert"], ["ca-cert"], "-auth_level", "2"),
"PSS signature using SHA256 and auth level 2");
+ok(verify("ee-pss-cert", "sslserver", ["root-cert"], ["ca-pss-cert"], ),
+ "CA PSS signature");
+
ok(!verify("many-names1", "sslserver", ["many-constraints"], ["many-constraints"], ),
"Too many names and constraints to check (1)");
ok(!verify("many-names2", "sslserver", ["many-constraints"], ["many-constraints"], ),
@@ -364,6 +396,9 @@ ok(verify("some-names2", "sslserver", ["many-constraints"], ["many-constraints"]
ok(verify("root-cert-rsa2", "sslserver", ["root-cert-rsa2"], [], "-check_ss_sig"),
"Public Key Algorithm rsa instead of rsaEncryption");
+ ok(verify("ee-self-signed", "sslserver", ["ee-self-signed"], []),
+ "accept trusted self-signed EE cert excluding key usage keyCertSign");
+
SKIP: {
skip "Ed25519 is not supported by this OpenSSL build", 1
if disabled("ec");
diff --git a/test/recipes/30-test_evp_data/evpciph.txt b/test/recipes/30-test_evp_data/evpciph.txt
index 29c317a1..1c02ea1e 100644
--- a/test/recipes/30-test_evp_data/evpciph.txt
+++ b/test/recipes/30-test_evp_data/evpciph.txt
@@ -2358,6 +2358,16 @@ Tag = 3615b7f90a651de15da20fb6
Plaintext = f57af5fd4ae19562976ec57a5a7ad55a5af5c5e5c5fdf5c55ad57a4a7272d57262e9729566ed66e97ac54a4a5a7ad5e15ae5fdd5fd5ac5d56ae56ad5c572d54ae54ac55a956afd6aed5a4ac562957a9516991691d572fd14e97ae962ed7a9f4a955af572e162f57a956666e17ae1f54a95f566d54a66e16e4afd6a9f7ae1c5c55ae5d56afde916c5e94a6ec56695e14afde1148416e94ad57ac5146ed59d1cc5
Ciphertext = ff78128ee18ee3cb9fb0d20726a017ff67fbd09d3a4c38aa32f6d306d3fdda378e459b83ed005507449d6cd981a4c1e3ff4193870c276ef09b6317a01a2283206ae4b4be0d0b235422c8abb00122410656b75e1ffc7fb49c0d0c5d6169aa7623610579968037aee8e83fc26264ea866590fd620aa3c0a5f323d953aa7f8defb0d0d60ab5a9de44dbaf8eae74ea3ab5f30594154f405fd630aa4c4d5603efdfa1
+# Test that the tag can be set after specifying AAD.
+Cipher = ARIA-256-CCM
+Key = 0c5ffd37a11edc42c325287fc0604f2e3e8cd5671a00fe3216aa5eb105783b54
+IV = 000020e8f5eb00000000315e
+AAD = 8008315ebf2e6fe020e8f5eb
+Tag = 3615b7f90a651de15da20fb6
+SetTagLate = TRUE
+Plaintext = f57af5fd4ae19562976ec57a5a7ad55a5af5c5e5c5fdf5c55ad57a4a7272d57262e9729566ed66e97ac54a4a5a7ad5e15ae5fdd5fd5ac5d56ae56ad5c572d54ae54ac55a956afd6aed5a4ac562957a9516991691d572fd14e97ae962ed7a9f4a955af572e162f57a956666e17ae1f54a95f566d54a66e16e4afd6a9f7ae1c5c55ae5d56afde916c5e94a6ec56695e14afde1148416e94ad57ac5146ed59d1cc5
+Ciphertext = ff78128ee18ee3cb9fb0d20726a017ff67fbd09d3a4c38aa32f6d306d3fdda378e459b83ed005507449d6cd981a4c1e3ff4193870c276ef09b6317a01a2283206ae4b4be0d0b235422c8abb00122410656b75e1ffc7fb49c0d0c5d6169aa7623610579968037aee8e83fc26264ea866590fd620aa3c0a5f323d953aa7f8defb0d0d60ab5a9de44dbaf8eae74ea3ab5f30594154f405fd630aa4c4d5603efdfa1
+
Title = SEED test vectors from RFC4269
diff --git a/test/recipes/70-test_sslsigalgs.t b/test/recipes/70-test_sslsigalgs.t
index f805dcf2..9ea9d052 100644
--- a/test/recipes/70-test_sslsigalgs.t
+++ b/test/recipes/70-test_sslsigalgs.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -44,7 +44,9 @@ use constant {
COMPAT_SIGALGS => 6,
SIGALGS_CERT_ALL => 7,
SIGALGS_CERT_PKCS => 8,
- SIGALGS_CERT_INVALID => 9
+ SIGALGS_CERT_INVALID => 9,
+ UNRECOGNIZED_SIGALGS_CERT => 10,
+ UNRECOGNIZED_SIGALG => 11
};
#Note: Throughout this test we override the default ciphersuites where TLSv1.2
@@ -53,7 +55,7 @@ use constant {
#Test 1: Default sig algs should succeed
$proxy->start() or plan skip_all => "Unable to start up Proxy for tests";
-plan tests => 22;
+plan tests => 26;
ok(TLSProxy::Message->success, "Default sigalgs");
my $testtype;
@@ -132,19 +134,40 @@ SKIP: {
}
SKIP: {
- skip "EC or TLSv1.2 disabled", 8 if disabled("tls1_2") || disabled("ec");
+ skip "EC or TLSv1.2 disabled", 10 if disabled("tls1_2") || disabled("ec");
$proxy->filter(\&sigalgs_filter);
- #Test 10: Sending no sig algs extension in TLSv1.2 should succeed
+ #Test 10: Sending no sig algs extension in TLSv1.2 should succeed at
+ # security level 1
$proxy->clear();
$testtype = NO_SIG_ALGS_EXT;
- $proxy->clientflags("-no_tls1_3");
- $proxy->ciphers("ECDHE-RSA-AES128-SHA");
+ $proxy->clientflags("-no_tls1_3 -cipher DEFAULT\@SECLEVEL=1");
+ $proxy->ciphers("ECDHE-RSA-AES128-SHA\@SECLEVEL=1");
+ $proxy->start();
+ ok(TLSProxy::Message->success, "No TLSv1.2 sigalgs seclevel 1");
+
+ #Test 11: Sending no sig algs extension in TLSv1.2 should fail at security
+ # level 2 since it will try to use SHA1. Testing client at level 1,
+ # server level 2.
+ $proxy->clear();
+ $testtype = NO_SIG_ALGS_EXT;
+ $proxy->clientflags("-tls1_2 -cipher DEFAULT\@SECLEVEL=1");
+ $proxy->ciphers("DEFAULT\@SECLEVEL=2");
+ $proxy->start();
+ ok(TLSProxy::Message->fail, "No TLSv1.2 sigalgs server seclevel 2");
+
+ #Test 12: Sending no sig algs extension in TLSv1.2 should fail at security
+ # level 2 since it will try to use SHA1. Testing client at level 2,
+ # server level 1.
+ $proxy->clear();
+ $testtype = NO_SIG_ALGS_EXT;
+ $proxy->clientflags("-tls1_2 -cipher DEFAULT\@SECLEVEL=2");
+ $proxy->ciphers("DEFAULT\@SECLEVEL=1");
$proxy->start();
- ok(TLSProxy::Message->success, "No TLSv1.2 sigalgs");
+ ok(TLSProxy::Message->fail, "No TLSv1.2 sigalgs client seclevel 2");
- #Test 11: Sending an empty sig algs extension in TLSv1.2 should fail
+ #Test 13: Sending an empty sig algs extension in TLSv1.2 should fail
$proxy->clear();
$testtype = EMPTY_SIG_ALGS_EXT;
$proxy->clientflags("-no_tls1_3");
@@ -152,7 +175,7 @@ SKIP: {
$proxy->start();
ok(TLSProxy::Message->fail, "Empty TLSv1.2 sigalgs");
- #Test 12: Sending a list with no recognised sig algs in TLSv1.2 should fail
+ #Test 14: Sending a list with no recognised sig algs in TLSv1.2 should fail
$proxy->clear();
$testtype = NO_KNOWN_SIG_ALGS;
$proxy->clientflags("-no_tls1_3");
@@ -160,7 +183,7 @@ SKIP: {
$proxy->start();
ok(TLSProxy::Message->fail, "No known TLSv1.3 sigalgs");
- #Test 13: Sending a sig algs list without pss for an RSA cert in TLSv1.2
+ #Test 15: Sending a sig algs list without pss for an RSA cert in TLSv1.2
# should succeed
$proxy->clear();
$testtype = NO_PSS_SIG_ALGS;
@@ -169,7 +192,7 @@ SKIP: {
$proxy->start();
ok(TLSProxy::Message->success, "No PSS TLSv1.2 sigalgs");
- #Test 14: Sending only TLSv1.3 PSS sig algs in TLSv1.2 should succeed
+ #Test 16: Sending only TLSv1.3 PSS sig algs in TLSv1.2 should succeed
$proxy->clear();
$testtype = PSS_ONLY_SIG_ALGS;
$proxy->serverflags("-no_tls1_3");
@@ -177,7 +200,7 @@ SKIP: {
$proxy->start();
ok(TLSProxy::Message->success, "PSS only sigalgs in TLSv1.2");
- #Test 15: Responding with a sig alg we did not send in TLSv1.2 should fail
+ #Test 17: Responding with a sig alg we did not send in TLSv1.2 should fail
# We send rsa_pkcs1_sha256 and respond with rsa_pss_rsae_sha256
# TODO(TLS1.3): Add a similar test to the TLSv1.3 section above
# when we have an API capable of configuring the TLSv1.3 sig algs
@@ -188,7 +211,7 @@ SKIP: {
$proxy->start();
ok(TLSProxy::Message->fail, "Sigalg we did not send in TLSv1.2");
- #Test 16: Sending a valid sig algs list but not including a sig type that
+ #Test 18: Sending a valid sig algs list but not including a sig type that
# matches the certificate should fail in TLSv1.2
$proxy->clear();
$proxy->clientflags("-no_tls1_3 -sigalgs ECDSA+SHA256");
@@ -198,7 +221,7 @@ SKIP: {
ok(TLSProxy::Message->fail, "No matching TLSv1.2 sigalgs");
$proxy->filter(\&sigalgs_filter);
- #Test 17: No sig algs extension, ECDSA cert, TLSv1.2 should succeed
+ #Test 19: No sig algs extension, ECDSA cert, TLSv1.2 should succeed
$proxy->clear();
$testtype = NO_SIG_ALGS_EXT;
$proxy->clientflags("-no_tls1_3");
@@ -214,7 +237,7 @@ SKIP: {
my ($dsa_status, $sha1_status, $sha224_status);
SKIP: {
skip "TLSv1.3 disabled", 2 if disabled("tls1_3") || disabled("dsa");
- #Test 18: signature_algorithms with 1.3-only ClientHello
+ #Test 20: signature_algorithms with 1.3-only ClientHello
$testtype = PURE_SIGALGS;
$dsa_status = $sha1_status = $sha224_status = 0;
$proxy->clear();
@@ -224,7 +247,7 @@ SKIP: {
ok($dsa_status && $sha1_status && $sha224_status,
"DSA/SHA2 sigalg sent for 1.3-only ClientHello");
- #Test 19: signature_algorithms with backwards compatible ClientHello
+ #Test 21: signature_algorithms with backwards compatible ClientHello
SKIP: {
skip "TLSv1.2 disabled", 1 if disabled("tls1_2");
$testtype = COMPAT_SIGALGS;
@@ -239,21 +262,21 @@ SKIP: {
SKIP: {
skip "TLSv1.3 disabled", 3 if disabled("tls1_3");
- #Test 20: Insert signature_algorithms_cert that match normal sigalgs
+ #Test 22: Insert signature_algorithms_cert that match normal sigalgs
$testtype = SIGALGS_CERT_ALL;
$proxy->clear();
$proxy->filter(\&modify_sigalgs_cert_filter);
$proxy->start();
ok(TLSProxy::Message->success, "sigalgs_cert in TLSv1.3");
- #Test 21: Insert signature_algorithms_cert that forces PKCS#1 cert
+ #Test 23: Insert signature_algorithms_cert that forces PKCS#1 cert
$testtype = SIGALGS_CERT_PKCS;
$proxy->clear();
$proxy->filter(\&modify_sigalgs_cert_filter);
$proxy->start();
ok(TLSProxy::Message->success, "sigalgs_cert in TLSv1.3 with PKCS#1 cert");
- #Test 22: Insert signature_algorithms_cert that fails
+ #Test 24: Insert signature_algorithms_cert that fails
$testtype = SIGALGS_CERT_INVALID;
$proxy->clear();
$proxy->filter(\&modify_sigalgs_cert_filter);
@@ -261,6 +284,39 @@ SKIP: {
ok(TLSProxy::Message->fail, "No matching certificate for sigalgs_cert");
}
+SKIP: {
+ skip "TLS 1.3 disabled", 2 if disabled("tls1_3");
+ #Test 25: Send an unrecognized signature_algorithms_cert
+ # We should be able to skip over the unrecognized value and use a
+ # valid one that appears later in the list.
+ $proxy->clear();
+ $proxy->filter(\&inject_unrecognized_sigalg);
+ $proxy->clientflags("-tls1_3");
+ # Use -xcert to get SSL_check_chain() to run in the cert_cb. This is
+ # needed to trigger (e.g.) CVE-2020-1967
+ $proxy->serverflags("" .
+ " -xcert " . srctop_file("test", "certs", "servercert.pem") .
+ " -xkey " . srctop_file("test", "certs", "serverkey.pem") .
+ " -xchain " . srctop_file("test", "certs", "rootcert.pem"));
+ $testtype = UNRECOGNIZED_SIGALGS_CERT;
+ $proxy->start();
+ ok(TLSProxy::Message->success(), "Unrecognized sigalg_cert in ClientHello");
+
+ #Test 26: Send an unrecognized signature_algorithms
+ # We should be able to skip over the unrecognized value and use a
+ # valid one that appears later in the list.
+ $proxy->clear();
+ $proxy->filter(\&inject_unrecognized_sigalg);
+ $proxy->clientflags("-tls1_3");
+ $proxy->serverflags("" .
+ " -xcert " . srctop_file("test", "certs", "servercert.pem") .
+ " -xkey " . srctop_file("test", "certs", "serverkey.pem") .
+ " -xchain " . srctop_file("test", "certs", "rootcert.pem"));
+ $testtype = UNRECOGNIZED_SIGALG;
+ $proxy->start();
+ ok(TLSProxy::Message->success(), "Unrecognized sigalg in ClientHello");
+}
+
sub sigalgs_filter
@@ -406,3 +462,30 @@ sub modify_cert_verify_sigalg
}
}
}
+
+sub inject_unrecognized_sigalg
+{
+ my $proxy = shift;
+ my $type;
+
+ # We're only interested in the initial ClientHello
+ if ($proxy->flight != 0) {
+ return;
+ }
+ if ($testtype == UNRECOGNIZED_SIGALGS_CERT) {
+ $type = TLSProxy::Message::EXT_SIG_ALGS_CERT;
+ } elsif ($testtype == UNRECOGNIZED_SIGALG) {
+ $type = TLSProxy::Message::EXT_SIG_ALGS;
+ } else {
+ return;
+ }
+
+ my $ext = pack "C8",
+ 0x00, 0x06, #Extension length
+ 0xfe, 0x18, #private use
+ 0x04, 0x01, #rsa_pkcs1_sha256
+ 0x08, 0x04; #rsa_pss_rsae_sha256;
+ my $message = ${$proxy->message_list}[0];
+ $message->set_extension($type, $ext);
+ $message->repack;
+}
diff --git a/test/recipes/70-test_verify_extra.t b/test/recipes/70-test_verify_extra.t
index 79a33cd0..8c7c9576 100644
--- a/test/recipes/70-test_verify_extra.t
+++ b/test/recipes/70-test_verify_extra.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -16,4 +16,5 @@ plan tests => 1;
ok(run(test(["verify_extra_test",
srctop_file("test", "certs", "roots.pem"),
srctop_file("test", "certs", "untrusted.pem"),
- srctop_file("test", "certs", "bad.pem")])));
+ srctop_file("test", "certs", "bad.pem"),
+ srctop_file("test", "certs", "rootCA.pem")])));
diff --git a/test/recipes/80-test_x509aux.t b/test/recipes/80-test_x509aux.t
index 65ba5fcf..4c3cefc4 100644
--- a/test/recipes/80-test_x509aux.t
+++ b/test/recipes/80-test_x509aux.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -14,14 +14,17 @@ use OpenSSL::Test::Utils;
setup("test_x509aux");
+my @path = qw(test certs);
+
plan skip_all => "test_dane uses ec which is not supported by this OpenSSL build"
if disabled("ec");
plan tests => 1; # The number of tests being performed
ok(run(test(["x509aux",
- srctop_file("test", "certs", "roots.pem"),
- srctop_file("test", "certs", "root+anyEKU.pem"),
- srctop_file("test", "certs", "root-anyEKU.pem"),
- srctop_file("test", "certs", "root-cert.pem")]
- )), "x509aux tests");
+ srctop_file(@path, "roots.pem"),
+ srctop_file(@path, "root+anyEKU.pem"),
+ srctop_file(@path, "root-anyEKU.pem"),
+ srctop_file(@path, "root-cert.pem"),
+ srctop_file(@path, "invalid-cert.pem"),
+ ])), "x509aux tests");
diff --git a/test/rsa_test.c b/test/rsa_test.c
index 3820785e..11e373cc 100644
--- a/test/rsa_test.c
+++ b/test/rsa_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -42,7 +42,8 @@ int setup_tests(void)
BN_bin2bn(dmp1, sizeof(dmp1)-1, NULL), \
BN_bin2bn(dmq1, sizeof(dmq1)-1, NULL), \
BN_bin2bn(iqmp, sizeof(iqmp)-1, NULL)); \
- memcpy(c, ctext_ex, sizeof(ctext_ex) - 1); \
+ if (c != NULL) \
+ memcpy(c, ctext_ex, sizeof(ctext_ex) - 1); \
return sizeof(ctext_ex) - 1;
static int key1(RSA *key, unsigned char *c)
@@ -211,90 +212,92 @@ static int key3(RSA *key, unsigned char *c)
SetKey;
}
-static int pad_unknown(void)
-{
- unsigned long l;
- while ((l = ERR_get_error()) != 0)
- if (ERR_GET_REASON(l) == RSA_R_UNKNOWN_PADDING_TYPE)
- return 1;
- return 0;
-}
-
-static int rsa_setkey(RSA** key, unsigned char* ctext, int idx)
+static int rsa_setkey(RSA** key, unsigned char *ctext, int idx)
{
int clen = 0;
+
*key = RSA_new();
- switch (idx) {
- case 0:
- clen = key1(*key, ctext);
- break;
- case 1:
- clen = key2(*key, ctext);
- break;
- case 2:
- clen = key3(*key, ctext);
- break;
- }
+ if (*key != NULL)
+ switch (idx) {
+ case 0:
+ clen = key1(*key, ctext);
+ break;
+ case 1:
+ clen = key2(*key, ctext);
+ break;
+ case 2:
+ clen = key3(*key, ctext);
+ break;
+ }
return clen;
}
-static int test_rsa_pkcs1(int idx)
+static int test_rsa_simple(int idx, int en_pad_type, int de_pad_type,
+ int success, unsigned char *ctext_ex, int *clen,
+ RSA **retkey)
{
int ret = 0;
RSA *key;
unsigned char ptext[256];
unsigned char ctext[256];
static unsigned char ptext_ex[] = "\x54\x85\x9b\x34\x2c\x49\xea\x2a";
- unsigned char ctext_ex[256];
int plen;
- int clen = 0;
+ int clentmp = 0;
int num;
plen = sizeof(ptext_ex) - 1;
- clen = rsa_setkey(&key, ctext_ex, idx);
+ clentmp = rsa_setkey(&key, ctext_ex, idx);
+ if (clen != NULL)
+ *clen = clentmp;
- num = RSA_public_encrypt(plen, ptext_ex, ctext, key,
- RSA_PKCS1_PADDING);
- if (!TEST_int_eq(num, clen))
+ num = RSA_public_encrypt(plen, ptext_ex, ctext, key, en_pad_type);
+ if (!TEST_int_eq(num, clentmp))
goto err;
- num = RSA_private_decrypt(num, ctext, ptext, key, RSA_PKCS1_PADDING);
- if (!TEST_mem_eq(ptext, num, ptext_ex, plen))
- goto err;
+ num = RSA_private_decrypt(num, ctext, ptext, key, de_pad_type);
+ if (success) {
+ if (!TEST_int_gt(num, 0) || !TEST_mem_eq(ptext, num, ptext_ex, plen))
+ goto err;
+ } else {
+ if (!TEST_int_lt(num, 0))
+ goto err;
+ }
ret = 1;
+ if (retkey != NULL) {
+ *retkey = key;
+ key = NULL;
+ }
err:
RSA_free(key);
return ret;
}
+static int test_rsa_pkcs1(int idx)
+{
+ return test_rsa_simple(idx, RSA_PKCS1_PADDING, RSA_PKCS1_PADDING, 1, NULL,
+ NULL, NULL);
+}
+
static int test_rsa_sslv23(int idx)
{
- int ret = 0;
- RSA *key;
- unsigned char ptext[256];
- unsigned char ctext[256];
- static unsigned char ptext_ex[] = "\x54\x85\x9b\x34\x2c\x49\xea\x2a";
- unsigned char ctext_ex[256];
- int plen;
- int clen = 0;
- int num;
+ int ret;
- plen = sizeof(ptext_ex) - 1;
- clen = rsa_setkey(&key, ctext_ex, idx);
+ /* Simulate an SSLv2 only client talking to a TLS capable server */
+ ret = test_rsa_simple(idx, RSA_PKCS1_PADDING, RSA_SSLV23_PADDING, 1, NULL,
+ NULL, NULL);
- num = RSA_public_encrypt(plen, ptext_ex, ctext, key,
- RSA_SSLV23_PADDING);
- if (!TEST_int_eq(num, clen))
- goto err;
+ /* Simulate a TLS capable client talking to an SSLv2 only server */
+ ret &= test_rsa_simple(idx, RSA_SSLV23_PADDING, RSA_PKCS1_PADDING, 1, NULL,
+ NULL, NULL);
- num = RSA_private_decrypt(num, ctext, ptext, key, RSA_SSLV23_PADDING);
- if (!TEST_mem_eq(ptext, num, ptext_ex, plen))
- goto err;
+ /*
+ * Simulate a TLS capable client talking to a TLS capable server. Should
+ * fail due to detecting a rollback attack.
+ */
+ ret &= test_rsa_simple(idx, RSA_SSLV23_PADDING, RSA_SSLV23_PADDING, 0, NULL,
+ NULL, NULL);
- ret = 1;
-err:
- RSA_free(key);
return ret;
}
@@ -311,28 +314,16 @@ static int test_rsa_oaep(int idx)
int num;
int n;
- plen = sizeof(ptext_ex) - 1;
- clen = rsa_setkey(&key, ctext_ex, idx);
-
- num = RSA_public_encrypt(plen, ptext_ex, ctext, key,
- RSA_PKCS1_OAEP_PADDING);
- if (num == -1 && pad_unknown()) {
- TEST_info("Skipping: No OAEP support");
- ret = 1;
- goto err;
- }
- if (!TEST_int_eq(num, clen))
+ if (!test_rsa_simple(idx, RSA_PKCS1_OAEP_PADDING, RSA_PKCS1_OAEP_PADDING, 1,
+ ctext_ex, &clen, &key))
goto err;
- num = RSA_private_decrypt(num, ctext, ptext, key,
- RSA_PKCS1_OAEP_PADDING);
- if (!TEST_mem_eq(ptext, num, ptext_ex, plen))
- goto err;
+ plen = sizeof(ptext_ex) - 1;
/* Different ciphertexts. Try decrypting ctext_ex */
num = RSA_private_decrypt(clen, ctext_ex, ptext, key,
RSA_PKCS1_OAEP_PADDING);
- if (!TEST_mem_eq(ptext, num, ptext_ex, plen))
+ if (num <= 0 || !TEST_mem_eq(ptext, num, ptext_ex, plen))
goto err;
/* Try decrypting corrupted ciphertexts. */
diff --git a/test/run_tests.pl b/test/run_tests.pl
index 881feaec..11786402 100644
--- a/test/run_tests.pl
+++ b/test/run_tests.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -90,7 +90,7 @@ my $ret = $harness->runtests(map { abs2rel($_, rel2abs(curdir())); }
# $ret->has_errors may be any number, not just 0 or 1. On VMS, numbers
# from 2 and on are used as is as VMS statuses, which has severity encoded
# in the lower 3 bits. 0 and 1, on the other hand, generate SUCCESS and
-# FAILURE, so for currect reporting on all platforms, we make sure the only
+# FAILURE, so for correct reporting on all platforms, we make sure the only
# exit codes are 0 and 1. Double-bang is the trick to do so.
exit !!$ret->has_errors if (ref($ret) eq "TAP::Parser::Aggregator");
diff --git a/test/servername_test.c b/test/servername_test.c
index d246918d..39f6b200 100644
--- a/test/servername_test.c
+++ b/test/servername_test.c
@@ -18,7 +18,7 @@
#include <openssl/err.h>
#include <time.h>
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#include "testutil.h"
#include "internal/nelem.h"
diff --git a/test/shlibloadtest.c b/test/shlibloadtest.c
index 86bbfcd8..9649a941 100644
--- a/test/shlibloadtest.c
+++ b/test/shlibloadtest.c
@@ -13,7 +13,7 @@
#include <openssl/opensslv.h>
#include <openssl/ssl.h>
#include <openssl/ossl_typ.h>
-#include "internal/dso_conf.h"
+#include "crypto/dso_conf.h"
typedef void DSO;
diff --git a/test/siphash_internal_test.c b/test/siphash_internal_test.c
index ae9082bc..be86ee11 100644
--- a/test/siphash_internal_test.c
+++ b/test/siphash_internal_test.c
@@ -14,7 +14,7 @@
#include <openssl/bio.h>
#include "testutil.h"
-#include "internal/siphash.h"
+#include "crypto/siphash.h"
#include "../crypto/siphash/siphash_local.h"
#include "internal/nelem.h"
diff --git a/test/sm2_internal_test.c b/test/sm2_internal_test.c
index 015fa85e..2bb73947 100644
--- a/test/sm2_internal_test.c
+++ b/test/sm2_internal_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -21,7 +21,7 @@
#ifndef OPENSSL_NO_SM2
-# include "internal/sm2.h"
+# include "crypto/sm2.h"
static RAND_METHOD fake_rand;
static const RAND_METHOD *saved_rand;
@@ -32,17 +32,18 @@ static size_t fake_rand_size = 0;
static int get_faked_bytes(unsigned char *buf, int num)
{
- int i;
-
if (fake_rand_bytes == NULL)
return saved_rand->bytes(buf, num);
- if (!TEST_size_t_le(fake_rand_bytes_offset + num, fake_rand_size))
+ if (!TEST_size_t_gt(fake_rand_size, 0))
return 0;
- for (i = 0; i != num; ++i)
- buf[i] = fake_rand_bytes[fake_rand_bytes_offset + i];
- fake_rand_bytes_offset += num;
+ while (num-- > 0) {
+ if (fake_rand_bytes_offset >= fake_rand_size)
+ fake_rand_bytes_offset = 0;
+ *buf++ = fake_rand_bytes[fake_rand_bytes_offset++];
+ }
+
return 1;
}
@@ -175,8 +176,7 @@ static int test_sm2_crypt(const EC_GROUP *group,
start_fake_rand(k_hex);
if (!TEST_true(sm2_encrypt(key, digest, (const uint8_t *)message, msg_len,
- ctext, &ctext_len))
- || !TEST_size_t_eq(fake_rand_bytes_offset, fake_rand_size)) {
+ ctext, &ctext_len))) {
restore_rand();
goto done;
}
@@ -296,8 +296,7 @@ static int test_sm2_sign(const EC_GROUP *group,
start_fake_rand(k_hex);
sig = sm2_do_sign(key, EVP_sm3(), (const uint8_t *)userid, strlen(userid),
(const uint8_t *)message, msg_len);
- if (!TEST_ptr(sig)
- || !TEST_size_t_eq(fake_rand_bytes_offset, fake_rand_size)) {
+ if (!TEST_ptr(sig)) {
restore_rand();
goto done;
}
diff --git a/test/sm4_internal_test.c b/test/sm4_internal_test.c
index 2f3eaecb..ce61b564 100644
--- a/test/sm4_internal_test.c
+++ b/test/sm4_internal_test.c
@@ -17,7 +17,7 @@
#include "testutil.h"
#ifndef OPENSSL_NO_SM4
-# include "internal/sm4.h"
+# include "crypto/sm4.h"
static int test_sm4_ecb(void)
{
diff --git a/test/ssl-tests/20-cert-select.conf b/test/ssl-tests/20-cert-select.conf
index 93f3a1ff..757b973e 100644
--- a/test/ssl-tests/20-cert-select.conf
+++ b/test/ssl-tests/20-cert-select.conf
@@ -216,9 +216,9 @@ PrivateKey = ${ENV::TEST_CERTS_DIR}/serverkey.pem
[4-Ed448 CipherString and Signature Algorithm Selection-client]
CipherString = aECDSA
MaxProtocol = TLSv1.2
-RequestCAFile = ${ENV::TEST_CERTS_DIR}/root-cert.pem
+RequestCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
SignatureAlgorithms = ed448:ECDSA+SHA256
-VerifyCAFile = ${ENV::TEST_CERTS_DIR}/rootcert.pem
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
VerifyMode = Peer
[test-4]
@@ -421,7 +421,7 @@ CipherString = aECDSA
Curves = X448
MaxProtocol = TLSv1.2
SignatureAlgorithms = ECDSA+SHA256:ed448
-VerifyCAFile = ${ENV::TEST_CERTS_DIR}/rootcert.pem
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
VerifyMode = Peer
[test-10]
@@ -1454,7 +1454,7 @@ PrivateKey = ${ENV::TEST_CERTS_DIR}/serverkey.pem
[44-TLS 1.3 Ed448 Signature Algorithm Selection-client]
CipherString = DEFAULT
SignatureAlgorithms = ed448
-VerifyCAFile = ${ENV::TEST_CERTS_DIR}/rootcert.pem
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
VerifyMode = Peer
[test-44]
diff --git a/test/ssl-tests/20-cert-select.conf.in b/test/ssl-tests/20-cert-select.conf.in
index 5e9bfede..24093548 100644
--- a/test/ssl-tests/20-cert-select.conf.in
+++ b/test/ssl-tests/20-cert-select.conf.in
@@ -134,7 +134,8 @@ our @tests = (
"CipherString" => "aECDSA",
"MaxProtocol" => "TLSv1.2",
"SignatureAlgorithms" => "ed448:ECDSA+SHA256",
- "RequestCAFile" => test_pem("root-cert.pem"),
+ "RequestCAFile" => test_pem("root-ed448-cert.pem"),
+ "VerifyCAFile" => test_pem("root-ed448-cert.pem"),
},
test => {
"ExpectedServerCertType" =>, "Ed448",
@@ -231,6 +232,7 @@ our @tests = (
"CipherString" => "aECDSA",
"MaxProtocol" => "TLSv1.2",
"SignatureAlgorithms" => "ECDSA+SHA256:ed448",
+ "VerifyCAFile" => test_pem("root-ed448-cert.pem"),
# Excluding P-256 from the supported curves list means server
# certificate should be Ed25519 and not P-256
"Curves" => "X448"
@@ -727,6 +729,7 @@ my @tests_tls_1_3 = (
server => $server_tls_1_3,
client => {
"SignatureAlgorithms" => "ed448",
+ "VerifyCAFile" => test_pem("root-ed448-cert.pem"),
},
test => {
"ExpectedServerCertType" => "Ed448",
diff --git a/test/ssl-tests/28-seclevel.conf b/test/ssl-tests/28-seclevel.conf
index f863f68b..99fa8109 100644
--- a/test/ssl-tests/28-seclevel.conf
+++ b/test/ssl-tests/28-seclevel.conf
@@ -1,11 +1,13 @@
# Generated with generate_ssl_tests.pl
-num_tests = 4
+num_tests = 6
test-0 = 0-SECLEVEL 3 with default key
-test-1 = 1-SECLEVEL 3 with ED448 key
-test-2 = 2-SECLEVEL 3 with P-384 key, X25519 ECDHE
-test-3 = 3-SECLEVEL 3 with ED448 key, TLSv1.2
+test-1 = 1-SECLEVEL 4 with ED448 key
+test-2 = 2-SECLEVEL 5 server with ED448 key
+test-3 = 3-SECLEVEL 5 client with ED448 key
+test-4 = 4-SECLEVEL 3 with P-384 key, X25519 ECDHE
+test-5 = 5-SECLEVEL 3 with ED448 key, TLSv1.2
# ===========================================================
[0-SECLEVEL 3 with default key]
@@ -31,21 +33,21 @@ ExpectedResult = ServerFail
# ===========================================================
-[1-SECLEVEL 3 with ED448 key]
-ssl_conf = 1-SECLEVEL 3 with ED448 key-ssl
+[1-SECLEVEL 4 with ED448 key]
+ssl_conf = 1-SECLEVEL 4 with ED448 key-ssl
-[1-SECLEVEL 3 with ED448 key-ssl]
-server = 1-SECLEVEL 3 with ED448 key-server
-client = 1-SECLEVEL 3 with ED448 key-client
+[1-SECLEVEL 4 with ED448 key-ssl]
+server = 1-SECLEVEL 4 with ED448 key-server
+client = 1-SECLEVEL 4 with ED448 key-client
-[1-SECLEVEL 3 with ED448 key-server]
+[1-SECLEVEL 4 with ED448 key-server]
Certificate = ${ENV::TEST_CERTS_DIR}/server-ed448-cert.pem
-CipherString = DEFAULT:@SECLEVEL=3
+CipherString = DEFAULT:@SECLEVEL=4
PrivateKey = ${ENV::TEST_CERTS_DIR}/server-ed448-key.pem
-[1-SECLEVEL 3 with ED448 key-client]
-CipherString = DEFAULT
-VerifyCAFile = ${ENV::TEST_CERTS_DIR}/rootcert.pem
+[1-SECLEVEL 4 with ED448 key-client]
+CipherString = DEFAULT:@SECLEVEL=4
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
VerifyMode = Peer
[test-1]
@@ -54,49 +56,95 @@ ExpectedResult = Success
# ===========================================================
-[2-SECLEVEL 3 with P-384 key, X25519 ECDHE]
-ssl_conf = 2-SECLEVEL 3 with P-384 key, X25519 ECDHE-ssl
+[2-SECLEVEL 5 server with ED448 key]
+ssl_conf = 2-SECLEVEL 5 server with ED448 key-ssl
+
+[2-SECLEVEL 5 server with ED448 key-ssl]
+server = 2-SECLEVEL 5 server with ED448 key-server
+client = 2-SECLEVEL 5 server with ED448 key-client
+
+[2-SECLEVEL 5 server with ED448 key-server]
+Certificate = ${ENV::TEST_CERTS_DIR}/server-ed448-cert.pem
+CipherString = DEFAULT:@SECLEVEL=5
+PrivateKey = ${ENV::TEST_CERTS_DIR}/server-ed448-key.pem
+
+[2-SECLEVEL 5 server with ED448 key-client]
+CipherString = DEFAULT:@SECLEVEL=4
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
+VerifyMode = Peer
+
+[test-2]
+ExpectedResult = ServerFail
+
+
+# ===========================================================
+
+[3-SECLEVEL 5 client with ED448 key]
+ssl_conf = 3-SECLEVEL 5 client with ED448 key-ssl
-[2-SECLEVEL 3 with P-384 key, X25519 ECDHE-ssl]
-server = 2-SECLEVEL 3 with P-384 key, X25519 ECDHE-server
-client = 2-SECLEVEL 3 with P-384 key, X25519 ECDHE-client
+[3-SECLEVEL 5 client with ED448 key-ssl]
+server = 3-SECLEVEL 5 client with ED448 key-server
+client = 3-SECLEVEL 5 client with ED448 key-client
-[2-SECLEVEL 3 with P-384 key, X25519 ECDHE-server]
+[3-SECLEVEL 5 client with ED448 key-server]
+Certificate = ${ENV::TEST_CERTS_DIR}/server-ed448-cert.pem
+CipherString = DEFAULT:@SECLEVEL=4
+PrivateKey = ${ENV::TEST_CERTS_DIR}/server-ed448-key.pem
+
+[3-SECLEVEL 5 client with ED448 key-client]
+CipherString = DEFAULT:@SECLEVEL=5
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
+VerifyMode = Peer
+
+[test-3]
+ExpectedResult = ServerFail
+
+
+# ===========================================================
+
+[4-SECLEVEL 3 with P-384 key, X25519 ECDHE]
+ssl_conf = 4-SECLEVEL 3 with P-384 key, X25519 ECDHE-ssl
+
+[4-SECLEVEL 3 with P-384 key, X25519 ECDHE-ssl]
+server = 4-SECLEVEL 3 with P-384 key, X25519 ECDHE-server
+client = 4-SECLEVEL 3 with P-384 key, X25519 ECDHE-client
+
+[4-SECLEVEL 3 with P-384 key, X25519 ECDHE-server]
Certificate = ${ENV::TEST_CERTS_DIR}/p384-server-cert.pem
CipherString = DEFAULT:@SECLEVEL=3
Groups = X25519
PrivateKey = ${ENV::TEST_CERTS_DIR}/p384-server-key.pem
-[2-SECLEVEL 3 with P-384 key, X25519 ECDHE-client]
+[4-SECLEVEL 3 with P-384 key, X25519 ECDHE-client]
CipherString = ECDHE:@SECLEVEL=3
VerifyCAFile = ${ENV::TEST_CERTS_DIR}/p384-root.pem
VerifyMode = Peer
-[test-2]
+[test-4]
ExpectedResult = Success
# ===========================================================
-[3-SECLEVEL 3 with ED448 key, TLSv1.2]
-ssl_conf = 3-SECLEVEL 3 with ED448 key, TLSv1.2-ssl
+[5-SECLEVEL 3 with ED448 key, TLSv1.2]
+ssl_conf = 5-SECLEVEL 3 with ED448 key, TLSv1.2-ssl
-[3-SECLEVEL 3 with ED448 key, TLSv1.2-ssl]
-server = 3-SECLEVEL 3 with ED448 key, TLSv1.2-server
-client = 3-SECLEVEL 3 with ED448 key, TLSv1.2-client
+[5-SECLEVEL 3 with ED448 key, TLSv1.2-ssl]
+server = 5-SECLEVEL 3 with ED448 key, TLSv1.2-server
+client = 5-SECLEVEL 3 with ED448 key, TLSv1.2-client
-[3-SECLEVEL 3 with ED448 key, TLSv1.2-server]
+[5-SECLEVEL 3 with ED448 key, TLSv1.2-server]
Certificate = ${ENV::TEST_CERTS_DIR}/server-ed448-cert.pem
CipherString = DEFAULT:@SECLEVEL=3
MaxProtocol = TLSv1.2
PrivateKey = ${ENV::TEST_CERTS_DIR}/server-ed448-key.pem
-[3-SECLEVEL 3 with ED448 key, TLSv1.2-client]
+[5-SECLEVEL 3 with ED448 key, TLSv1.2-client]
CipherString = DEFAULT
-VerifyCAFile = ${ENV::TEST_CERTS_DIR}/rootcert.pem
+VerifyCAFile = ${ENV::TEST_CERTS_DIR}/root-ed448-cert.pem
VerifyMode = Peer
-[test-3]
+[test-5]
ExpectedResult = Success
diff --git a/test/ssl-tests/28-seclevel.conf.in b/test/ssl-tests/28-seclevel.conf.in
index 12b90211..2c12de79 100644
--- a/test/ssl-tests/28-seclevel.conf.in
+++ b/test/ssl-tests/28-seclevel.conf.in
@@ -1,5 +1,5 @@
# -*- mode: perl; -*-
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -23,13 +23,38 @@ our @tests = (
our @tests_ec = (
{
- name => "SECLEVEL 3 with ED448 key",
- server => { "CipherString" => "DEFAULT:\@SECLEVEL=3",
+ name => "SECLEVEL 4 with ED448 key",
+ server => { "CipherString" => "DEFAULT:\@SECLEVEL=4",
"Certificate" => test_pem("server-ed448-cert.pem"),
"PrivateKey" => test_pem("server-ed448-key.pem") },
- client => { },
+ client => { "CipherString" => "DEFAULT:\@SECLEVEL=4",
+ "VerifyCAFile" => test_pem("root-ed448-cert.pem") },
test => { "ExpectedResult" => "Success" },
},
+ {
+ # The Ed488 signature algorithm will not be enabled.
+ # Because of the config order, the certificate is first loaded, and
+ # then the security level is chaged. If you try this with s_server
+ # the order will be reversed and it will instead fail to load the key.
+ name => "SECLEVEL 5 server with ED448 key",
+ server => { "CipherString" => "DEFAULT:\@SECLEVEL=5",
+ "Certificate" => test_pem("server-ed448-cert.pem"),
+ "PrivateKey" => test_pem("server-ed448-key.pem") },
+ client => { "CipherString" => "DEFAULT:\@SECLEVEL=4",
+ "VerifyCAFile" => test_pem("root-ed448-cert.pem") },
+ test => { "ExpectedResult" => "ServerFail" },
+ },
+ {
+ # The client will not sent the Ed488 signature algorithm, so the server
+ # doesn't have a useable signature algorithm for the certificate.
+ name => "SECLEVEL 5 client with ED448 key",
+ server => { "CipherString" => "DEFAULT:\@SECLEVEL=4",
+ "Certificate" => test_pem("server-ed448-cert.pem"),
+ "PrivateKey" => test_pem("server-ed448-key.pem") },
+ client => { "CipherString" => "DEFAULT:\@SECLEVEL=5",
+ "VerifyCAFile" => test_pem("root-ed448-cert.pem") },
+ test => { "ExpectedResult" => "ServerFail" },
+ },
{
name => "SECLEVEL 3 with P-384 key, X25519 ECDHE",
server => { "CipherString" => "DEFAULT:\@SECLEVEL=3",
@@ -49,7 +74,7 @@ our @tests_tls1_2 = (
"Certificate" => test_pem("server-ed448-cert.pem"),
"PrivateKey" => test_pem("server-ed448-key.pem"),
"MaxProtocol" => "TLSv1.2" },
- client => { },
+ client => { "VerifyCAFile" => test_pem("root-ed448-cert.pem") },
test => { "ExpectedResult" => "Success" },
},
);
diff --git a/test/ssl_cert_table_internal_test.c b/test/ssl_cert_table_internal_test.c
index 2104e8c5..cb1e076b 100644
--- a/test/ssl_cert_table_internal_test.c
+++ b/test/ssl_cert_table_internal_test.c
@@ -21,7 +21,7 @@
# pragma names as_is,shortened
#endif
-#include "../ssl/ssl_locl.h"
+#include "../ssl/ssl_local.h"
#include "../ssl/ssl_cert_table.h"
#ifdef __VMS
diff --git a/test/ssl_ctx_test.c b/test/ssl_ctx_test.c
new file mode 100644
index 00000000..87d476d9
--- /dev/null
+++ b/test/ssl_ctx_test.c
@@ -0,0 +1,76 @@
+/*
+ * Copyright 2018 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the OpenSSL license (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+#include "testutil.h"
+#include <openssl/ssl.h>
+
+typedef struct {
+ int min_version;
+ int max_version;
+ int min_ok;
+ int max_ok;
+ int expected_min;
+ int expected_max;
+} version_test;
+
+static const version_test version_testdata[] = {
+ /* min max ok expected min expected max */
+ {0, 0, 1, 1, 0, 0},
+ {TLS1_VERSION, TLS1_2_VERSION, 1, 1, TLS1_VERSION, TLS1_2_VERSION},
+ {TLS1_2_VERSION, TLS1_2_VERSION, 1, 1, TLS1_2_VERSION, TLS1_2_VERSION},
+ {TLS1_2_VERSION, TLS1_1_VERSION, 1, 0, TLS1_2_VERSION, 0},
+ {7, 42, 0, 0, 0, 0},
+};
+
+static int test_set_min_max_version(int idx_tst)
+{
+ SSL_CTX *ctx = NULL;
+ SSL *ssl = NULL;
+ int testresult = 0;
+ version_test t = version_testdata[idx_tst];
+
+ ctx = SSL_CTX_new(TLS_server_method());
+ if (ctx == NULL)
+ goto end;
+
+ ssl = SSL_new(ctx);
+ if (ssl == NULL)
+ goto end;
+
+ if (!TEST_int_eq(SSL_CTX_set_min_proto_version(ctx, t.min_version), t.min_ok))
+ goto end;
+ if (!TEST_int_eq(SSL_CTX_set_max_proto_version(ctx, t.max_version), t.max_ok))
+ goto end;
+ if (!TEST_int_eq(SSL_CTX_get_min_proto_version(ctx), t.expected_min))
+ goto end;
+ if (!TEST_int_eq(SSL_CTX_get_max_proto_version(ctx), t.expected_max))
+ goto end;
+
+ if (!TEST_int_eq(SSL_set_min_proto_version(ssl, t.min_version), t.min_ok))
+ goto end;
+ if (!TEST_int_eq(SSL_set_max_proto_version(ssl, t.max_version), t.max_ok))
+ goto end;
+ if (!TEST_int_eq(SSL_get_min_proto_version(ssl), t.expected_min))
+ goto end;
+ if (!TEST_int_eq(SSL_get_max_proto_version(ssl), t.expected_max))
+ goto end;
+
+ testresult = 1;
+
+ end:
+ SSL_free(ssl);
+ SSL_CTX_free(ctx);
+ return testresult;
+}
+
+int setup_tests(void)
+{
+ ADD_ALL_TESTS(test_set_min_max_version, sizeof(version_testdata) / sizeof(version_test));
+ return 1;
+}
diff --git a/test/ssl_test_ctx.h b/test/ssl_test_ctx.h
index 36d73f75..7e670c94 100644
--- a/test/ssl_test_ctx.h
+++ b/test/ssl_test_ctx.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SSL_TEST_CTX_H
-#define HEADER_SSL_TEST_CTX_H
+#ifndef OSSL_TEST_SSL_TEST_CTX_H
+#define OSSL_TEST_SSL_TEST_CTX_H
#include <openssl/conf.h>
#include <openssl/ssl.h>
@@ -250,4 +250,4 @@ SSL_TEST_CTX *SSL_TEST_CTX_new(void);
void SSL_TEST_CTX_free(SSL_TEST_CTX *ctx);
-#endif /* HEADER_SSL_TEST_CTX_H */
+#endif /* OSSL_TEST_SSL_TEST_CTX_H */
diff --git a/test/sslapitest.c b/test/sslapitest.c
index 7a142268..4a27ee1b 100644
--- a/test/sslapitest.c
+++ b/test/sslapitest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -22,7 +22,7 @@
#include "testutil.h"
#include "testutil/output.h"
#include "internal/nelem.h"
-#include "../ssl/ssl_locl.h"
+#include "../ssl/ssl_local.h"
#ifndef OPENSSL_NO_TLS1_3
@@ -98,6 +98,17 @@ static unsigned char serverinfov2[] = {
0xff /* Dummy extension data */
};
+static int hostname_cb(SSL *s, int *al, void *arg)
+{
+ const char *hostname = SSL_get_servername(s, TLSEXT_NAMETYPE_host_name);
+
+ if (hostname != NULL && (strcmp(hostname, "goodhost") == 0
+ || strcmp(hostname, "altgoodhost") == 0))
+ return SSL_TLSEXT_ERR_OK;
+
+ return SSL_TLSEXT_ERR_NOACK;
+}
+
static void client_keylog_callback(const SSL *ssl, const char *line)
{
int line_length = strlen(line);
@@ -579,6 +590,117 @@ end:
return testresult;
}
+
+/*
+ * Very focused test to exercise a single case in the server-side state
+ * machine, when the ChangeCipherState message needs to actually change
+ * from one cipher to a different cipher (i.e., not changing from null
+ * encryption to real encryption).
+ */
+static int test_ccs_change_cipher(void)
+{
+ SSL_CTX *cctx = NULL, *sctx = NULL;
+ SSL *clientssl = NULL, *serverssl = NULL;
+ SSL_SESSION *sess = NULL, *sesspre, *sesspost;
+ int testresult = 0;
+ int i;
+ unsigned char buf;
+ size_t readbytes;
+
+ /*
+ * Create a conection so we can resume and potentially (but not) use
+ * a different cipher in the second connection.
+ */
+ if (!TEST_true(create_ssl_ctx_pair(TLS_server_method(),
+ TLS_client_method(),
+ TLS1_VERSION, TLS1_2_VERSION,
+ &sctx, &cctx, cert, privkey))
+ || !TEST_true(SSL_CTX_set_options(sctx, SSL_OP_NO_TICKET))
+ || !TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl,
+ NULL, NULL))
+ || !TEST_true(SSL_set_cipher_list(clientssl, "AES128-GCM-SHA256"))
+ || !TEST_true(create_ssl_connection(serverssl, clientssl,
+ SSL_ERROR_NONE))
+ || !TEST_ptr(sesspre = SSL_get0_session(serverssl))
+ || !TEST_ptr(sess = SSL_get1_session(clientssl)))
+ goto end;
+
+ shutdown_ssl_connection(serverssl, clientssl);
+ serverssl = clientssl = NULL;
+
+ /* Resume, preferring a different cipher. Our server will force the
+ * same cipher to be used as the initial handshake. */
+ if (!TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl,
+ NULL, NULL))
+ || !TEST_true(SSL_set_session(clientssl, sess))
+ || !TEST_true(SSL_set_cipher_list(clientssl, "AES256-GCM-SHA384:AES128-GCM-SHA256"))
+ || !TEST_true(create_ssl_connection(serverssl, clientssl,
+ SSL_ERROR_NONE))
+ || !TEST_true(SSL_session_reused(clientssl))
+ || !TEST_true(SSL_session_reused(serverssl))
+ || !TEST_ptr(sesspost = SSL_get0_session(serverssl))
+ || !TEST_ptr_eq(sesspre, sesspost)
+ || !TEST_int_eq(TLS1_CK_RSA_WITH_AES_128_GCM_SHA256,
+ SSL_CIPHER_get_id(SSL_get_current_cipher(clientssl))))
+ goto end;
+ shutdown_ssl_connection(serverssl, clientssl);
+ serverssl = clientssl = NULL;
+
+ /*
+ * Now create a fresh connection and try to renegotiate a different
+ * cipher on it.
+ */
+ if (!TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl,
+ NULL, NULL))
+ || !TEST_true(SSL_set_cipher_list(clientssl, "AES128-GCM-SHA256"))
+ || !TEST_true(create_ssl_connection(serverssl, clientssl,
+ SSL_ERROR_NONE))
+ || !TEST_ptr(sesspre = SSL_get0_session(serverssl))
+ || !TEST_true(SSL_set_cipher_list(clientssl, "AES256-GCM-SHA384"))
+ || !TEST_true(SSL_renegotiate(clientssl))
+ || !TEST_true(SSL_renegotiate_pending(clientssl)))
+ goto end;
+ /* Actually drive the renegotiation. */
+ for (i = 0; i < 3; i++) {
+ if (SSL_read_ex(clientssl, &buf, sizeof(buf), &readbytes) > 0) {
+ if (!TEST_ulong_eq(readbytes, 0))
+ goto end;
+ } else if (!TEST_int_eq(SSL_get_error(clientssl, 0),
+ SSL_ERROR_WANT_READ)) {
+ goto end;
+ }
+ if (SSL_read_ex(serverssl, &buf, sizeof(buf), &readbytes) > 0) {
+ if (!TEST_ulong_eq(readbytes, 0))
+ goto end;
+ } else if (!TEST_int_eq(SSL_get_error(serverssl, 0),
+ SSL_ERROR_WANT_READ)) {
+ goto end;
+ }
+ }
+ /* sesspre and sesspost should be different since the cipher changed. */
+ if (!TEST_false(SSL_renegotiate_pending(clientssl))
+ || !TEST_false(SSL_session_reused(clientssl))
+ || !TEST_false(SSL_session_reused(serverssl))
+ || !TEST_ptr(sesspost = SSL_get0_session(serverssl))
+ || !TEST_ptr_ne(sesspre, sesspost)
+ || !TEST_int_eq(TLS1_CK_RSA_WITH_AES_256_GCM_SHA384,
+ SSL_CIPHER_get_id(SSL_get_current_cipher(clientssl))))
+ goto end;
+
+ shutdown_ssl_connection(serverssl, clientssl);
+ serverssl = clientssl = NULL;
+
+ testresult = 1;
+
+end:
+ SSL_free(serverssl);
+ SSL_free(clientssl);
+ SSL_CTX_free(sctx);
+ SSL_CTX_free(cctx);
+ SSL_SESSION_free(sess);
+
+ return testresult;
+}
#endif
static int execute_test_large_message(const SSL_METHOD *smeth,
@@ -2007,8 +2129,11 @@ static unsigned int psk_server_cb(SSL *ssl, const char *identity,
#define MSG6 "test"
#define MSG7 "message."
-#define TLS13_AES_256_GCM_SHA384_BYTES ((const unsigned char *)"\x13\x02")
#define TLS13_AES_128_GCM_SHA256_BYTES ((const unsigned char *)"\x13\x01")
+#define TLS13_AES_256_GCM_SHA384_BYTES ((const unsigned char *)"\x13\x02")
+#define TLS13_CHACHA20_POLY1305_SHA256_BYTES ((const unsigned char *)"\x13\x03")
+#define TLS13_AES_128_CCM_SHA256_BYTES ((const unsigned char *)"\x13\x04")
+#define TLS13_AES_128_CCM_8_SHA256_BYTES ((const unsigned char *)"\x13\05")
static SSL_SESSION *create_a_psk(SSL *ssl)
@@ -2737,16 +2862,6 @@ static int test_early_data_not_sent(int idx)
return testresult;
}
-static int hostname_cb(SSL *s, int *al, void *arg)
-{
- const char *hostname = SSL_get_servername(s, TLSEXT_NAMETYPE_host_name);
-
- if (hostname != NULL && strcmp(hostname, "goodhost") == 0)
- return SSL_TLSEXT_ERR_OK;
-
- return SSL_TLSEXT_ERR_NOACK;
-}
-
static const char *servalpn;
static int alpn_select_cb(SSL *ssl, const unsigned char **out,
@@ -2839,16 +2954,16 @@ static int test_early_data_psk(int idx)
case 3:
/*
- * Set inconsistent SNI (server detected). In this case the connection
- * will succeed but reject early_data.
+ * Set inconsistent SNI (server side). In this case the connection
+ * will succeed and accept early_data. In TLSv1.3 on the server side SNI
+ * is associated with each handshake - not the session. Therefore it
+ * should not matter that we used a different server name last time.
*/
SSL_SESSION_free(serverpsk);
serverpsk = SSL_SESSION_dup(clientpsk);
if (!TEST_ptr(serverpsk)
|| !TEST_true(SSL_SESSION_set1_hostname(serverpsk, "badhost")))
goto end;
- edstatus = SSL_EARLY_DATA_REJECTED;
- readearlyres = SSL_READ_EARLY_DATA_FINISH;
/* Fall through */
case 4:
/* Set consistent SNI */
@@ -2946,6 +3061,110 @@ static int test_early_data_psk(int idx)
return testresult;
}
+/*
+ * Test TLSv1.3 PSK can be used to send early_data with all 5 ciphersuites
+ * idx == 0: Test with TLS1_3_RFC_AES_128_GCM_SHA256
+ * idx == 1: Test with TLS1_3_RFC_AES_256_GCM_SHA384
+ * idx == 2: Test with TLS1_3_RFC_CHACHA20_POLY1305_SHA256,
+ * idx == 3: Test with TLS1_3_RFC_AES_128_CCM_SHA256
+ * idx == 4: Test with TLS1_3_RFC_AES_128_CCM_8_SHA256
+ */
+static int test_early_data_psk_with_all_ciphers(int idx)
+{
+ SSL_CTX *cctx = NULL, *sctx = NULL;
+ SSL *clientssl = NULL, *serverssl = NULL;
+ int testresult = 0;
+ SSL_SESSION *sess = NULL;
+ unsigned char buf[20];
+ size_t readbytes, written;
+ const SSL_CIPHER *cipher;
+ const char *cipher_str[] = {
+ TLS1_3_RFC_AES_128_GCM_SHA256,
+ TLS1_3_RFC_AES_256_GCM_SHA384,
+# if !defined(OPENSSL_NO_CHACHA) && !defined(OPENSSL_NO_POLY1305)
+ TLS1_3_RFC_CHACHA20_POLY1305_SHA256,
+# else
+ NULL,
+# endif
+ TLS1_3_RFC_AES_128_CCM_SHA256,
+ TLS1_3_RFC_AES_128_CCM_8_SHA256
+ };
+ const unsigned char *cipher_bytes[] = {
+ TLS13_AES_128_GCM_SHA256_BYTES,
+ TLS13_AES_256_GCM_SHA384_BYTES,
+# if !defined(OPENSSL_NO_CHACHA) && !defined(OPENSSL_NO_POLY1305)
+ TLS13_CHACHA20_POLY1305_SHA256_BYTES,
+# else
+ NULL,
+# endif
+ TLS13_AES_128_CCM_SHA256_BYTES,
+ TLS13_AES_128_CCM_8_SHA256_BYTES
+ };
+
+ if (cipher_str[idx] == NULL)
+ return 1;
+
+ /* We always set this up with a final parameter of "2" for PSK */
+ if (!TEST_true(setupearly_data_test(&cctx, &sctx, &clientssl,
+ &serverssl, &sess, 2)))
+ goto end;
+
+ if (!TEST_true(SSL_set_ciphersuites(clientssl, cipher_str[idx]))
+ || !TEST_true(SSL_set_ciphersuites(serverssl, cipher_str[idx])))
+ goto end;
+
+ /*
+ * 'setupearly_data_test' creates only one instance of SSL_SESSION
+ * and assigns to both client and server with incremented reference
+ * and the same instance is updated in 'sess'.
+ * So updating ciphersuite in 'sess' which will get reflected in
+ * PSK handshake using psk use sess and find sess cb.
+ */
+ cipher = SSL_CIPHER_find(clientssl, cipher_bytes[idx]);
+ if (!TEST_ptr(cipher) || !TEST_true(SSL_SESSION_set_cipher(sess, cipher)))
+ goto end;
+
+ SSL_set_connect_state(clientssl);
+ if (!TEST_true(SSL_write_early_data(clientssl, MSG1, strlen(MSG1),
+ &written)))
+ goto end;
+
+ if (!TEST_int_eq(SSL_read_early_data(serverssl, buf, sizeof(buf),
+ &readbytes),
+ SSL_READ_EARLY_DATA_SUCCESS)
+ || !TEST_mem_eq(buf, readbytes, MSG1, strlen(MSG1))
+ || !TEST_int_eq(SSL_get_early_data_status(serverssl),
+ SSL_EARLY_DATA_ACCEPTED)
+ || !TEST_int_eq(SSL_connect(clientssl), 1)
+ || !TEST_int_eq(SSL_accept(serverssl), 1))
+ goto end;
+
+ /* Send some normal data from client to server */
+ if (!TEST_true(SSL_write_ex(clientssl, MSG2, strlen(MSG2), &written))
+ || !TEST_size_t_eq(written, strlen(MSG2)))
+ goto end;
+
+ if (!TEST_true(SSL_read_ex(serverssl, buf, sizeof(buf), &readbytes))
+ || !TEST_mem_eq(buf, readbytes, MSG2, strlen(MSG2)))
+ goto end;
+
+ testresult = 1;
+ end:
+ SSL_SESSION_free(sess);
+ SSL_SESSION_free(clientpsk);
+ SSL_SESSION_free(serverpsk);
+ clientpsk = serverpsk = NULL;
+ if (clientssl != NULL)
+ SSL_shutdown(clientssl);
+ if (serverssl != NULL)
+ SSL_shutdown(serverssl);
+ SSL_free(serverssl);
+ SSL_free(clientssl);
+ SSL_CTX_free(sctx);
+ SSL_CTX_free(cctx);
+ return testresult;
+}
+
/*
* Test that a server that doesn't try to read early data can handle a
* client sending some.
@@ -4213,9 +4432,20 @@ static int test_export_key_mat(int tst)
SSL_CTX_set_min_proto_version(cctx, protocols[tst]);
if (!TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl, NULL,
- NULL))
- || !TEST_true(create_ssl_connection(serverssl, clientssl,
- SSL_ERROR_NONE)))
+ NULL)))
+ goto end;
+
+ /*
+ * Premature call of SSL_export_keying_material should just fail.
+ */
+ if (!TEST_int_le(SSL_export_keying_material(clientssl, ckeymat1,
+ sizeof(ckeymat1), label,
+ SMALL_LABEL_LEN + 1, context,
+ sizeof(context) - 1, 1), 0))
+ goto end;
+
+ if (!TEST_true(create_ssl_connection(serverssl, clientssl,
+ SSL_ERROR_NONE)))
goto end;
if (tst == 5) {
@@ -6205,6 +6435,285 @@ static int test_ca_names(int tst)
return testresult;
}
+/*
+ * Test 0: Client sets servername and server acknowledges it (TLSv1.2)
+ * Test 1: Client sets servername and server does not acknowledge it (TLSv1.2)
+ * Test 2: Client sets inconsistent servername on resumption (TLSv1.2)
+ * Test 3: Client does not set servername on initial handshake (TLSv1.2)
+ * Test 4: Client does not set servername on resumption handshake (TLSv1.2)
+ * Test 5: Client sets servername and server acknowledges it (TLSv1.3)
+ * Test 6: Client sets servername and server does not acknowledge it (TLSv1.3)
+ * Test 7: Client sets inconsistent servername on resumption (TLSv1.3)
+ * Test 8: Client does not set servername on initial handshake(TLSv1.3)
+ * Test 9: Client does not set servername on resumption handshake (TLSv1.3)
+ */
+static int test_servername(int tst)
+{
+ SSL_CTX *cctx = NULL, *sctx = NULL;
+ SSL *clientssl = NULL, *serverssl = NULL;
+ int testresult = 0;
+ SSL_SESSION *sess = NULL;
+ const char *sexpectedhost = NULL, *cexpectedhost = NULL;
+
+#ifdef OPENSSL_NO_TLS1_2
+ if (tst <= 4)
+ return 1;
+#endif
+#ifdef OPENSSL_NO_TLS1_3
+ if (tst >= 5)
+ return 1;
+#endif
+
+ if (!TEST_true(create_ssl_ctx_pair(TLS_server_method(),
+ TLS_client_method(),
+ TLS1_VERSION,
+ (tst <= 4) ? TLS1_2_VERSION
+ : TLS1_3_VERSION,
+ &sctx, &cctx, cert, privkey))
+ || !TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl,
+ NULL, NULL)))
+ goto end;
+
+ if (tst != 1 && tst != 6) {
+ if (!TEST_true(SSL_CTX_set_tlsext_servername_callback(sctx,
+ hostname_cb)))
+ goto end;
+ }
+
+ if (tst != 3 && tst != 8) {
+ if (!TEST_true(SSL_set_tlsext_host_name(clientssl, "goodhost")))
+ goto end;
+ sexpectedhost = cexpectedhost = "goodhost";
+ }
+
+ if (!TEST_true(create_ssl_connection(serverssl, clientssl, SSL_ERROR_NONE)))
+ goto end;
+
+ if (!TEST_str_eq(SSL_get_servername(clientssl, TLSEXT_NAMETYPE_host_name),
+ cexpectedhost)
+ || !TEST_str_eq(SSL_get_servername(serverssl,
+ TLSEXT_NAMETYPE_host_name),
+ sexpectedhost))
+ goto end;
+
+ /* Now repeat with a resumption handshake */
+
+ if (!TEST_int_eq(SSL_shutdown(clientssl), 0)
+ || !TEST_ptr_ne(sess = SSL_get1_session(clientssl), NULL)
+ || !TEST_true(SSL_SESSION_is_resumable(sess))
+ || !TEST_int_eq(SSL_shutdown(serverssl), 0))
+ goto end;
+
+ SSL_free(clientssl);
+ SSL_free(serverssl);
+ clientssl = serverssl = NULL;
+
+ if (!TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl, NULL,
+ NULL)))
+ goto end;
+
+ if (!TEST_true(SSL_set_session(clientssl, sess)))
+ goto end;
+
+ sexpectedhost = cexpectedhost = "goodhost";
+ if (tst == 2 || tst == 7) {
+ /* Set an inconsistent hostname */
+ if (!TEST_true(SSL_set_tlsext_host_name(clientssl, "altgoodhost")))
+ goto end;
+ /*
+ * In TLSv1.2 we expect the hostname from the original handshake, in
+ * TLSv1.3 we expect the hostname from this handshake
+ */
+ if (tst == 7)
+ sexpectedhost = cexpectedhost = "altgoodhost";
+
+ if (!TEST_str_eq(SSL_get_servername(clientssl,
+ TLSEXT_NAMETYPE_host_name),
+ "altgoodhost"))
+ goto end;
+ } else if (tst == 4 || tst == 9) {
+ /*
+ * A TLSv1.3 session does not associate a session with a servername,
+ * but a TLSv1.2 session does.
+ */
+ if (tst == 9)
+ sexpectedhost = cexpectedhost = NULL;
+
+ if (!TEST_str_eq(SSL_get_servername(clientssl,
+ TLSEXT_NAMETYPE_host_name),
+ cexpectedhost))
+ goto end;
+ } else {
+ if (!TEST_true(SSL_set_tlsext_host_name(clientssl, "goodhost")))
+ goto end;
+ /*
+ * In a TLSv1.2 resumption where the hostname was not acknowledged
+ * we expect the hostname on the server to be empty. On the client we
+ * return what was requested in this case.
+ *
+ * Similarly if the client didn't set a hostname on an original TLSv1.2
+ * session but is now, the server hostname will be empty, but the client
+ * is as we set it.
+ */
+ if (tst == 1 || tst == 3)
+ sexpectedhost = NULL;
+
+ if (!TEST_str_eq(SSL_get_servername(clientssl,
+ TLSEXT_NAMETYPE_host_name),
+ "goodhost"))
+ goto end;
+ }
+
+ if (!TEST_true(create_ssl_connection(serverssl, clientssl, SSL_ERROR_NONE)))
+ goto end;
+
+ if (!TEST_true(SSL_session_reused(clientssl))
+ || !TEST_true(SSL_session_reused(serverssl))
+ || !TEST_str_eq(SSL_get_servername(clientssl,
+ TLSEXT_NAMETYPE_host_name),
+ cexpectedhost)
+ || !TEST_str_eq(SSL_get_servername(serverssl,
+ TLSEXT_NAMETYPE_host_name),
+ sexpectedhost))
+ goto end;
+
+ testresult = 1;
+
+ end:
+ SSL_SESSION_free(sess);
+ SSL_free(serverssl);
+ SSL_free(clientssl);
+ SSL_CTX_free(sctx);
+ SSL_CTX_free(cctx);
+
+ return testresult;
+}
+
+#ifndef OPENSSL_NO_TLS1_2
+static int test_ssl_dup(void)
+{
+ SSL_CTX *cctx = NULL, *sctx = NULL;
+ SSL *clientssl = NULL, *serverssl = NULL, *client2ssl = NULL;
+ int testresult = 0;
+ BIO *rbio = NULL, *wbio = NULL;
+
+ if (!TEST_true(create_ssl_ctx_pair(TLS_server_method(),
+ TLS_client_method(),
+ 0,
+ 0,
+ &sctx, &cctx, cert, privkey)))
+ goto end;
+
+ if (!TEST_true(create_ssl_objects(sctx, cctx, &serverssl, &clientssl,
+ NULL, NULL)))
+ goto end;
+
+ if (!TEST_true(SSL_set_min_proto_version(clientssl, TLS1_2_VERSION))
+ || !TEST_true(SSL_set_max_proto_version(clientssl, TLS1_2_VERSION)))
+ goto end;
+
+ client2ssl = SSL_dup(clientssl);
+ rbio = SSL_get_rbio(clientssl);
+ if (!TEST_ptr(rbio)
+ || !TEST_true(BIO_up_ref(rbio)))
+ goto end;
+ SSL_set0_rbio(client2ssl, rbio);
+ rbio = NULL;
+
+ wbio = SSL_get_wbio(clientssl);
+ if (!TEST_ptr(wbio) || !TEST_true(BIO_up_ref(wbio)))
+ goto end;
+ SSL_set0_wbio(client2ssl, wbio);
+ rbio = NULL;
+
+ if (!TEST_ptr(client2ssl)
+ /* Handshake not started so pointers should be different */
+ || !TEST_ptr_ne(clientssl, client2ssl))
+ goto end;
+
+ if (!TEST_int_eq(SSL_get_min_proto_version(client2ssl), TLS1_2_VERSION)
+ || !TEST_int_eq(SSL_get_max_proto_version(client2ssl), TLS1_2_VERSION))
+ goto end;
+
+ if (!TEST_true(create_ssl_connection(serverssl, client2ssl, SSL_ERROR_NONE)))
+ goto end;
+
+ SSL_free(clientssl);
+ clientssl = SSL_dup(client2ssl);
+ if (!TEST_ptr(clientssl)
+ /* Handshake has finished so pointers should be the same */
+ || !TEST_ptr_eq(clientssl, client2ssl))
+ goto end;
+
+ testresult = 1;
+
+ end:
+ SSL_free(serverssl);
+ SSL_free(clientssl);
+ SSL_free(client2ssl);
+ SSL_CTX_free(sctx);
+ SSL_CTX_free(cctx);
+
+ return testresult;
+}
+#endif
+
+#ifndef OPENSSL_NO_TLS1_3
+/*
+ * Test that setting an SNI callback works with TLSv1.3. Specifically we check
+ * that it works even without a certificate configured for the original
+ * SSL_CTX
+ */
+static int test_sni_tls13(void)
+{
+ SSL_CTX *cctx = NULL, *sctx = NULL, *sctx2 = NULL;
+ SSL *clientssl = NULL, *serverssl = NULL;
+ int testresult = 0;
+
+ /* Reset callback counter */
+ snicb = 0;
+
+ /* Create an initial SSL_CTX with no certificate configured */
+ sctx = SSL_CTX_new(TLS_server_method());
+ if (!TEST_ptr(sctx))
+ goto end;
+ /* Require TLSv1.3 as a minimum */
+ if (!TEST_true(create_ssl_ctx_pair(TLS_server_method(), TLS_client_method(),
+ TLS1_3_VERSION, 0, &sctx2, &cctx, cert,
+ privkey)))
+ goto end;
+
+ /* Set up SNI */
+ if (!TEST_true(SSL_CTX_set_tlsext_servername_callback(sctx, sni_cb))
+ || !TEST_true(SSL_CTX_set_tlsext_servername_arg(sctx, sctx2)))
+ goto end;
+
+ /*
+ * Connection should still succeed because the final SSL_CTX has the right
+ * certificates configured.
+ */
+ if (!TEST_true(create_ssl_objects(sctx, cctx, &serverssl,
+ &clientssl, NULL, NULL))
+ || !TEST_true(create_ssl_connection(serverssl, clientssl,
+ SSL_ERROR_NONE)))
+ goto end;
+
+ /* We should have had the SNI callback called exactly once */
+ if (!TEST_int_eq(snicb, 1))
+ goto end;
+
+ testresult = 1;
+
+end:
+ SSL_free(serverssl);
+ SSL_free(clientssl);
+ SSL_CTX_free(sctx2);
+ SSL_CTX_free(sctx);
+ SSL_CTX_free(cctx);
+ return testresult;
+}
+#endif
+
int setup_tests(void)
{
if (!TEST_ptr(certsdir = test_get_argument(0))
@@ -6268,6 +6777,7 @@ int setup_tests(void)
#endif
#ifndef OPENSSL_NO_TLS1_2
ADD_TEST(test_client_hello_cb);
+ ADD_TEST(test_ccs_change_cipher);
#endif
#ifndef OPENSSL_NO_TLS1_3
ADD_ALL_TESTS(test_early_data_read_write, 3);
@@ -6282,6 +6792,7 @@ int setup_tests(void)
ADD_ALL_TESTS(test_early_data_skip_abort, 3);
ADD_ALL_TESTS(test_early_data_not_sent, 3);
ADD_ALL_TESTS(test_early_data_psk, 8);
+ ADD_ALL_TESTS(test_early_data_psk_with_all_ciphers, 5);
ADD_ALL_TESTS(test_early_data_not_expected, 3);
# ifndef OPENSSL_NO_TLS1_2
ADD_ALL_TESTS(test_early_data_tls1_2, 3);
@@ -6322,6 +6833,13 @@ int setup_tests(void)
ADD_ALL_TESTS(test_cert_cb, 6);
ADD_ALL_TESTS(test_client_cert_cb, 2);
ADD_ALL_TESTS(test_ca_names, 3);
+ ADD_ALL_TESTS(test_servername, 10);
+#ifndef OPENSSL_NO_TLS1_2
+ ADD_TEST(test_ssl_dup);
+#endif
+#ifndef OPENSSL_NO_TLS1_3
+ ADD_TEST(test_sni_tls13);
+#endif
return 1;
}
diff --git a/test/sslbuffertest.c b/test/sslbuffertest.c
index b8b1f52d..b5f815f7 100644
--- a/test/sslbuffertest.c
+++ b/test/sslbuffertest.c
@@ -13,7 +13,7 @@
#include <openssl/bio.h>
#include <openssl/err.h>
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#include "ssltestlib.h"
#include "testutil.h"
diff --git a/test/ssltestlib.h b/test/ssltestlib.h
index 56e323f5..17b27821 100644
--- a/test/ssltestlib.h
+++ b/test/ssltestlib.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_SSLTESTLIB_H
-# define HEADER_SSLTESTLIB_H
+#ifndef OSSL_TEST_SSLTESTLIB_H
+# define OSSL_TEST_SSLTESTLIB_H
# include <openssl/ssl.h>
@@ -53,4 +53,4 @@ typedef struct mempacket_st MEMPACKET;
DEFINE_STACK_OF(MEMPACKET)
-#endif /* HEADER_SSLTESTLIB_H */
+#endif /* OSSL_TEST_SSLTESTLIB_H */
diff --git a/test/test_test.c b/test/test_test.c
index 0af2eaeb..74a230c1 100644
--- a/test/test_test.c
+++ b/test/test_test.c
@@ -491,7 +491,7 @@ static int test_single_eval(void)
&& TEST_ptr_eq(p, buf + 1)
&& TEST_ptr_null(p = NULL)
/* strings */
- && TEST_str_eq(p = "123456" + 1, "23456")
+ && TEST_str_eq(p = &("123456"[1]), "23456")
&& TEST_str_eq("3456", ++p)
&& TEST_str_ne(p++, "456")
/* memory */
diff --git a/test/tested25519.pem b/test/tested25519.pem
new file mode 100644
index 00000000..e447080a
--- /dev/null
+++ b/test/tested25519.pem
@@ -0,0 +1,3 @@
+-----BEGIN PRIVATE KEY-----
+MC4CAQAwBQYDK2VwBCIEINTuctv5E1hK1bbY8fdp+K06/nwoy/HU++CXqI9EdVhC
+-----END PRIVATE KEY-----
diff --git a/test/tested25519pub.pem b/test/tested25519pub.pem
new file mode 100644
index 00000000..41b0218e
--- /dev/null
+++ b/test/tested25519pub.pem
@@ -0,0 +1,3 @@
+-----BEGIN PUBLIC KEY-----
+MCowBQYDK2VwAyEAGb9ECWmEzf6FQbrBZ9w7lshQhqowtrbLDFw4rXAxZuE=
+-----END PUBLIC KEY-----
diff --git a/test/tested448.pem b/test/tested448.pem
new file mode 100644
index 00000000..98af1642
--- /dev/null
+++ b/test/tested448.pem
@@ -0,0 +1,4 @@
+-----BEGIN PRIVATE KEY-----
+MEcCAQAwBQYDK2VxBDsEOWyCpWLLgI0Q1jK+ichRPr9skp803fqMn2PJlg7240ij
+UoyKP8wvBE45o/xblEkvjwMudUmiAJj5Ww==
+-----END PRIVATE KEY-----
diff --git a/test/tested448pub.pem b/test/tested448pub.pem
new file mode 100644
index 00000000..640da6f2
--- /dev/null
+++ b/test/tested448pub.pem
@@ -0,0 +1,4 @@
+-----BEGIN PUBLIC KEY-----
+MEMwBQYDK2VxAzoAX9dEm1m0Yf0s54fsYWrUah2hNCSFpw4fig6nXYDpZ3jt8SR2
+m0bHBhvWeD3x5Q9s0foavq/oJWGA
+-----END PUBLIC KEY-----
diff --git a/test/testutil.h b/test/testutil.h
index 2a610d7b..575be955 100644
--- a/test/testutil.h
+++ b/test/testutil.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_TESTUTIL_H
-# define HEADER_TESTUTIL_H
+#ifndef OSSL_TESTUTIL_H
+# define OSSL_TESTUTIL_H
#include <stdarg.h>
@@ -465,4 +465,4 @@ void test_random_seed(uint32_t sd);
/* Create a file path from a directory and a filename */
char *test_mk_file_path(const char *dir, const char *file);
-#endif /* HEADER_TESTUTIL_H */
+#endif /* OSSL_TESTUTIL_H */
diff --git a/test/testutil/output.h b/test/testutil/output.h
index 8e2b2a34..f5be69e6 100644
--- a/test/testutil/output.h
+++ b/test/testutil/output.h
@@ -7,8 +7,8 @@
* https://www.openssl.org/source/license.html
*/
-#ifndef HEADER_TU_OUTPUT_H
-# define HEADER_TU_OUTPUT_H
+#ifndef OSSL_TESTUTIL_OUTPUT_H
+# define OSSL_TESTUTIL_OUTPUT_H
#include <stdarg.h>
@@ -29,4 +29,4 @@ int test_flush_stderr(void);
int test_printf_stdout(const char *fmt, ...);
int test_printf_stderr(const char *fmt, ...);
-#endif /* HEADER_TU_OUTPUT_H */
+#endif /* OSSL_TESTUTIL_OUTPUT_H */
diff --git a/test/testutil/init.c b/test/testutil/testutil_init.c
similarity index 100%
rename from test/testutil/init.c
rename to test/testutil/testutil_init.c
diff --git a/test/tls13ccstest.c b/test/tls13ccstest.c
index 92e9d598..1633d3af 100644
--- a/test/tls13ccstest.c
+++ b/test/tls13ccstest.c
@@ -11,7 +11,7 @@
#include <string.h>
#include "ssltestlib.h"
#include "testutil.h"
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
static char *cert = NULL;
static char *privkey = NULL;
diff --git a/test/tls13encryptiontest.c b/test/tls13encryptiontest.c
index 6f359b3a..3625db92 100644
--- a/test/tls13encryptiontest.c
+++ b/test/tls13encryptiontest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,8 +15,8 @@
# pragma names as_is,shortened
#endif
-#include "../ssl/ssl_locl.h"
-#include "../ssl/record/record_locl.h"
+#include "../ssl/ssl_local.h"
+#include "../ssl/record/record_local.h"
#ifdef __VMS
# pragma names restore
@@ -288,7 +288,7 @@ static int test_record(SSL3_RECORD *rec, RECORD_DATA *recd, int enc)
{
int ret = 0;
unsigned char *refd;
- size_t refdatalen;
+ size_t refdatalen = 0;
if (enc)
refd = multihexstr2buf(recd->ciphertext, &refdatalen);
diff --git a/test/tls13secretstest.c b/test/tls13secretstest.c
index 9368b1cd..52fc2b66 100644
--- a/test/tls13secretstest.c
+++ b/test/tls13secretstest.c
@@ -15,7 +15,7 @@
# pragma names as_is,shortened
#endif
-#include "../ssl/ssl_locl.h"
+#include "../ssl/ssl_local.h"
#ifdef __VMS
# pragma names restore
diff --git a/test/v3nametest.c b/test/v3nametest.c
index 86f3829a..d1852190 100644
--- a/test/v3nametest.c
+++ b/test/v3nametest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -359,8 +359,352 @@ static int call_run_cert(int i)
return failed == 0;
}
+static struct gennamedata {
+ const unsigned char der[22];
+ size_t derlen;
+} gennames[] = {
+ {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.1 }
+ * [0] {
+ * SEQUENCE {}
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x13, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x01, 0xa0, 0x02, 0x30, 0x00
+ },
+ 21
+ }, {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.1 }
+ * [0] {
+ * [APPLICATION 0] {}
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x13, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x01, 0xa0, 0x02, 0x60, 0x00
+ },
+ 21
+ }, {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.1 }
+ * [0] {
+ * UTF8String { "a" }
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x14, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x01, 0xa0, 0x03, 0x0c, 0x01, 0x61
+ },
+ 22
+ }, {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.2 }
+ * [0] {
+ * UTF8String { "a" }
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x14, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x02, 0xa0, 0x03, 0x0c, 0x01, 0x61
+ },
+ 22
+ }, {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.1 }
+ * [0] {
+ * UTF8String { "b" }
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x14, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x01, 0xa0, 0x03, 0x0c, 0x01, 0x62
+ },
+ 22
+ }, {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.1 }
+ * [0] {
+ * BOOLEAN { TRUE }
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x14, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x01, 0xa0, 0x03, 0x01, 0x01, 0xff
+ },
+ 22
+ }, {
+ /*
+ * [0] {
+ * OBJECT_IDENTIFIER { 1.2.840.113554.4.1.72585.2.1 }
+ * [0] {
+ * BOOLEAN { FALSE }
+ * }
+ * }
+ */
+ {
+ 0xa0, 0x14, 0x06, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+ 0x01, 0x84, 0xb7, 0x09, 0x02, 0x01, 0xa0, 0x03, 0x01, 0x01, 0x00
+ },
+ 22
+ }, {
+ /* [1 PRIMITIVE] { "a" } */
+ {
+ 0x81, 0x01, 0x61
+ },
+ 3
+ }, {
+ /* [1 PRIMITIVE] { "b" } */
+ {
+ 0x81, 0x01, 0x62
+ },
+ 3
+ }, {
+ /* [2 PRIMITIVE] { "a" } */
+ {
+ 0x82, 0x01, 0x61
+ },
+ 3
+ }, {
+ /* [2 PRIMITIVE] { "b" } */
+ {
+ 0x82, 0x01, 0x62
+ },
+ 3
+ }, {
+ /*
+ * [4] {
+ * SEQUENCE {
+ * SET {
+ * SEQUENCE {
+ * # commonName
+ * OBJECT_IDENTIFIER { 2.5.4.3 }
+ * UTF8String { "a" }
+ * }
+ * }
+ * }
+ * }
+ */
+ {
+ 0xa4, 0x0e, 0x30, 0x0c, 0x31, 0x0a, 0x30, 0x08, 0x06, 0x03, 0x55,
+ 0x04, 0x03, 0x0c, 0x01, 0x61
+ },
+ 16
+ }, {
+ /*
+ * [4] {
+ * SEQUENCE {
+ * SET {
+ * SEQUENCE {
+ * # commonName
+ * OBJECT_IDENTIFIER { 2.5.4.3 }
+ * UTF8String { "b" }
+ * }
+ * }
+ * }
+ * }
+ */
+ {
+ 0xa4, 0x0e, 0x30, 0x0c, 0x31, 0x0a, 0x30, 0x08, 0x06, 0x03, 0x55,
+ 0x04, 0x03, 0x0c, 0x01, 0x62
+ },
+ 16
+ }, {
+ /*
+ * [5] {
+ * [1] {
+ * UTF8String { "a" }
+ * }
+ * }
+ */
+ {
+ 0xa5, 0x05, 0xa1, 0x03, 0x0c, 0x01, 0x61
+ },
+ 7
+ }, {
+ /*
+ * [5] {
+ * [1] {
+ * UTF8String { "b" }
+ * }
+ * }
+ */
+ {
+ 0xa5, 0x05, 0xa1, 0x03, 0x0c, 0x01, 0x62
+ },
+ 7
+ }, {
+ /*
+ * [5] {
+ * [0] {
+ * UTF8String {}
+ * }
+ * [1] {
+ * UTF8String { "a" }
+ * }
+ * }
+ */
+ {
+ 0xa5, 0x09, 0xa0, 0x02, 0x0c, 0x00, 0xa1, 0x03, 0x0c, 0x01, 0x61
+ },
+ 11
+ }, {
+ /*
+ * [5] {
+ * [0] {
+ * UTF8String { "a" }
+ * }
+ * [1] {
+ * UTF8String { "a" }
+ * }
+ * }
+ */
+ {
+ 0xa5, 0x0a, 0xa0, 0x03, 0x0c, 0x01, 0x61, 0xa1, 0x03, 0x0c, 0x01,
+ 0x61
+ },
+ 12
+ }, {
+ /*
+ * [5] {
+ * [0] {
+ * UTF8String { "b" }
+ * }
+ * [1] {
+ * UTF8String { "a" }
+ * }
+ * }
+ */
+ {
+ 0xa5, 0x0a, 0xa0, 0x03, 0x0c, 0x01, 0x62, 0xa1, 0x03, 0x0c, 0x01,
+ 0x61
+ },
+ 12
+ }, {
+ /* [6 PRIMITIVE] { "a" } */
+ {
+ 0x86, 0x01, 0x61
+ },
+ 3
+ }, {
+ /* [6 PRIMITIVE] { "b" } */
+ {
+ 0x86, 0x01, 0x62
+ },
+ 3
+ }, {
+ /* [7 PRIMITIVE] { `11111111` } */
+ {
+ 0x87, 0x04, 0x11, 0x11, 0x11, 0x11
+ },
+ 6
+ }, {
+ /* [7 PRIMITIVE] { `22222222`} */
+ {
+ 0x87, 0x04, 0x22, 0x22, 0x22, 0x22
+ },
+ 6
+ }, {
+ /* [7 PRIMITIVE] { `11111111111111111111111111111111` } */
+ {
+ 0x87, 0x10, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11,
+ 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11
+ },
+ 18
+ }, {
+ /* [7 PRIMITIVE] { `22222222222222222222222222222222` } */
+ {
+ 0x87, 0x10, 0x22, 0x22, 0x22, 0x22, 0x22, 0x22, 0x22, 0x22, 0x22,
+ 0x22, 0x22, 0x22, 0x22, 0x22, 0x22, 0x22
+ },
+ 18
+ }, {
+ /* [8 PRIMITIVE] { 1.2.840.113554.4.1.72585.2.1 } */
+ {
+ 0x88, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04, 0x01, 0x84,
+ 0xb7, 0x09, 0x02, 0x01
+ },
+ 15
+ }, {
+ /* [8 PRIMITIVE] { 1.2.840.113554.4.1.72585.2.2 } */
+ {
+ 0x88, 0x0d, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04, 0x01, 0x84,
+ 0xb7, 0x09, 0x02, 0x02
+ },
+ 15
+ }
+};
+
+static int test_GENERAL_NAME_cmp(void)
+{
+ size_t i, j;
+ GENERAL_NAME **namesa = OPENSSL_malloc(sizeof(*namesa)
+ * OSSL_NELEM(gennames));
+ GENERAL_NAME **namesb = OPENSSL_malloc(sizeof(*namesb)
+ * OSSL_NELEM(gennames));
+ int testresult = 0;
+
+ if (!TEST_ptr(namesa) || !TEST_ptr(namesb))
+ goto end;
+
+ for (i = 0; i < OSSL_NELEM(gennames); i++) {
+ const unsigned char *derp = gennames[i].der;
+
+ /*
+ * We create two versions of each GENERAL_NAME so that we ensure when
+ * we compare them they are always different pointers.
+ */
+ namesa[i] = d2i_GENERAL_NAME(NULL, &derp, gennames[i].derlen);
+ derp = gennames[i].der;
+ namesb[i] = d2i_GENERAL_NAME(NULL, &derp, gennames[i].derlen);
+ if (!TEST_ptr(namesa[i]) || !TEST_ptr(namesb[i]))
+ goto end;
+ }
+
+ /* Every name should be equal to itself and not equal to any others. */
+ for (i = 0; i < OSSL_NELEM(gennames); i++) {
+ for (j = 0; j < OSSL_NELEM(gennames); j++) {
+ if (i == j) {
+ if (!TEST_int_eq(GENERAL_NAME_cmp(namesa[i], namesb[j]), 0))
+ goto end;
+ } else {
+ if (!TEST_int_ne(GENERAL_NAME_cmp(namesa[i], namesb[j]), 0))
+ goto end;
+ }
+ }
+ }
+ testresult = 1;
+
+ end:
+ for (i = 0; i < OSSL_NELEM(gennames); i++) {
+ if (namesa != NULL)
+ GENERAL_NAME_free(namesa[i]);
+ if (namesb != NULL)
+ GENERAL_NAME_free(namesb[i]);
+ }
+ OPENSSL_free(namesa);
+ OPENSSL_free(namesb);
+
+ return testresult;
+}
+
int setup_tests(void)
{
ADD_ALL_TESTS(call_run_cert, OSSL_NELEM(name_fns));
+ ADD_TEST(test_GENERAL_NAME_cmp);
return 1;
}
diff --git a/test/verify_extra_test.c b/test/verify_extra_test.c
index d9d14989..010403e7 100644
--- a/test/verify_extra_test.c
+++ b/test/verify_extra_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -18,6 +18,21 @@
static const char *roots_f;
static const char *untrusted_f;
static const char *bad_f;
+static const char *good_f;
+
+static X509 *load_cert_pem(const char *file)
+{
+ X509 *cert = NULL;
+ BIO *bio = NULL;
+
+ if (!TEST_ptr(bio = BIO_new(BIO_s_file())))
+ return NULL;
+ if (TEST_int_gt(BIO_read_filename(bio, file), 0))
+ (void)TEST_ptr(cert = PEM_read_bio_X509(bio, NULL, NULL, NULL));
+
+ BIO_free(bio);
+ return cert;
+}
static STACK_OF(X509) *load_certs_from_file(const char *filename)
{
@@ -58,7 +73,7 @@ static STACK_OF(X509) *load_certs_from_file(const char *filename)
return certs;
}
-/*
+/*-
* Test for CVE-2015-1793 (Alternate Chains Certificate Forgery)
*
* Chain is as follows:
@@ -175,16 +190,48 @@ static int test_store_ctx(void)
return testresult;
}
+static int test_self_signed(const char *filename, int expected)
+{
+ X509 *cert = load_cert_pem(filename);
+ STACK_OF(X509) *trusted = sk_X509_new_null();
+ X509_STORE_CTX *ctx = X509_STORE_CTX_new();
+ int ret;
+
+ ret = TEST_ptr(cert)
+ && TEST_true(sk_X509_push(trusted, cert))
+ && TEST_true(X509_STORE_CTX_init(ctx, NULL, cert, NULL));
+ X509_STORE_CTX_set0_trusted_stack(ctx, trusted);
+ ret = ret && TEST_int_eq(X509_verify_cert(ctx), expected);
+
+ X509_STORE_CTX_free(ctx);
+ sk_X509_free(trusted);
+ X509_free(cert);
+ return ret;
+}
+
+static int test_self_signed_good(void)
+{
+ return test_self_signed(good_f, 1);
+}
+
+static int test_self_signed_bad(void)
+{
+ return test_self_signed(bad_f, 0);
+}
+
int setup_tests(void)
{
if (!TEST_ptr(roots_f = test_get_argument(0))
|| !TEST_ptr(untrusted_f = test_get_argument(1))
- || !TEST_ptr(bad_f = test_get_argument(2))) {
- TEST_error("usage: verify_extra_test roots.pem untrusted.pem bad.pem\n");
+ || !TEST_ptr(bad_f = test_get_argument(2))
+ || !TEST_ptr(good_f = test_get_argument(3))) {
+ TEST_error("usage: verify_extra_test roots.pem untrusted.pem bad.pem good.pem\n");
return 0;
}
ADD_TEST(test_alt_chains_cert_forgery);
ADD_TEST(test_store_ctx);
+ ADD_TEST(test_self_signed_good);
+ ADD_TEST(test_self_signed_bad);
return 1;
}
diff --git a/test/wpackettest.c b/test/wpackettest.c
index 773eef05..4c779c87 100644
--- a/test/wpackettest.c
+++ b/test/wpackettest.c
@@ -15,7 +15,7 @@
# pragma names as_is,shortened
#endif
-#include "../ssl/packet_locl.h"
+#include "../ssl/packet_local.h"
#ifdef __VMS
# pragma names restore
diff --git a/test/x509aux.c b/test/x509aux.c
index e41f1f68..dee1b40e 100644
--- a/test/x509aux.c
+++ b/test/x509aux.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL licenses, (the "License");
* you may not use this file except in compliance with the License.
@@ -30,17 +30,16 @@ static int test_certs(int num)
typedef int (*i2d_X509_t)(X509 *, unsigned char **);
int err = 0;
BIO *fp = BIO_new_file(test_get_argument(num), "r");
- X509 *reuse = NULL;
if (!TEST_ptr(fp))
return 0;
for (c = 0; !err && PEM_read_bio(fp, &name, &header, &data, &len); ++c) {
const int trusted = (strcmp(name, PEM_STRING_X509_TRUSTED) == 0);
-
d2i_X509_t d2i = trusted ? d2i_X509_AUX : d2i_X509;
i2d_X509_t i2d = trusted ? i2d_X509_AUX : i2d_X509;
X509 *cert = NULL;
+ X509 *reuse = NULL;
const unsigned char *p = data;
unsigned char *buf = NULL;
unsigned char *bufp;
@@ -93,9 +92,15 @@ static int test_certs(int num)
goto next;
}
p = buf;
- reuse = d2i(&reuse, &p, enclen);
- if (reuse == NULL || X509_cmp (reuse, cert)) {
- TEST_error("X509_cmp does not work with %s", name);
+ reuse = d2i(NULL, &p, enclen);
+ if (reuse == NULL) {
+ TEST_error("second d2i call failed for %s", name);
+ err = 1;
+ goto next;
+ }
+ err = X509_cmp(reuse, cert);
+ if (err != 0) {
+ TEST_error("X509_cmp for %s resulted in %d", name, err);
err = 1;
goto next;
}
@@ -141,13 +146,13 @@ static int test_certs(int num)
*/
next:
X509_free(cert);
+ X509_free(reuse);
OPENSSL_free(buf);
OPENSSL_free(name);
OPENSSL_free(header);
OPENSSL_free(data);
}
BIO_free(fp);
- X509_free(reuse);
if (ERR_GET_REASON(ERR_peek_last_error()) == PEM_R_NO_START_LINE) {
/* Reached end of PEM file */
diff --git a/util/find-doc-nits b/util/find-doc-nits
index 699887a2..f2fd85ce 100755
--- a/util/find-doc-nits
+++ b/util/find-doc-nits
@@ -35,7 +35,7 @@ Find small errors (nits) in documentation. Options:
-l Print bogus links
-n Print nits in POD pages
-p Warn if non-public name documented (implies -n)
- -u List undocumented functions
+ -u Count undocumented functions
-h Print this help message
-c List undocumented commands and options
EOF
@@ -294,6 +294,7 @@ my %docced;
sub checkmacros()
{
my $count = 0;
+ my %seen;
print "# Checking macros (approximate)\n";
foreach my $f ( glob('include/openssl/*.h') ) {
@@ -305,7 +306,7 @@ sub checkmacros()
while ( <IN> ) {
next unless /^#\s*define\s*(\S+)\(/;
my $macro = $1;
- next if $docced{$macro};
+ next if $docced{$macro} || defined $seen{$macro};
next if $macro =~ /i2d_/
|| $macro =~ /d2i_/
|| $macro =~ /DEPRECATEDIN/
@@ -313,6 +314,7 @@ sub checkmacros()
|| $macro =~ /DECLARE_/;
print "$f:$macro\n" if $opt_d;
$count++;
+ $seen{$macro} = 1;
}
close(IN);
}
@@ -324,15 +326,17 @@ sub printem()
my $libname = shift;
my $numfile = shift;
my $count = 0;
+ my %seen;
foreach my $func ( &parsenum($numfile) ) {
- next if $docced{$func};
+ next if $docced{$func} || defined $seen{$func};
# Skip ASN1 utilities
next if $func =~ /^ASN1_/;
print "$libname:$func\n" if $opt_d;
$count++;
+ $seen{$func} = 1;
}
print "# Found $count missing from $numfile\n\n";
}
diff --git a/util/fix-includes b/util/fix-includes
new file mode 100755
index 00000000..c4916387
--- /dev/null
+++ b/util/fix-includes
@@ -0,0 +1,19 @@
+#!/bin/sh
+#
+# Copyright 2019 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the Apache License 2.0 (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+
+find -name ossl_typ.h -o \( \
+ -name '*.h' -o \
+ -name '*.h.in' -o \
+ -name '*.c' -o \
+ -name '*.ec' -o \
+ -name 'README*' -o \
+ -name '*.pod' -o \
+ -name '*.conf' \
+ \) -exec sed -E -i \
+ -f util/fix-includes.sed {} \;
diff --git a/util/fix-includes.sed b/util/fix-includes.sed
new file mode 100644
index 00000000..fb0d6528
--- /dev/null
+++ b/util/fix-includes.sed
@@ -0,0 +1,5 @@
+s|internal/([a-z0-9_]+)_int\.h|crypto/\1.h|g ;
+s@internal/(aria.h|async.h|bn_conf.h|bn_dh.h|bn_srp.h|chacha.h|ctype.h|__DECC_INCLUDE_EPILOGUE.H|__DECC_INCLUDE_PROLOGUE.H|dso_conf.h|engine.h|lhash.h|md32_common.h|objects.h|poly1305.h|sha.h|siphash.h|sm2err.h|sm2.h|sm3.h|sm4.h|store.h|foobar)@crypto/\1@g ;
+s/constant_time_locl/constant_time/g ;
+s/_lo?cl\.h/_local.h/g ;
+s/_int\.h/_local.h/g ;
diff --git a/util/libcrypto.num b/util/libcrypto.num
index bf8b803c..436f799b 100644
--- a/util/libcrypto.num
+++ b/util/libcrypto.num
@@ -4582,3 +4582,12 @@ OPENSSL_INIT_set_config_file_flags 4535 1_1_1b EXIST::FUNCTION:STDIO
EVP_PKEY_get0_engine 4536 1_1_1c EXIST::FUNCTION:ENGINE
X509_get0_authority_serial 4537 1_1_1d EXIST::FUNCTION:
X509_get0_authority_issuer 4538 1_1_1d EXIST::FUNCTION:
+EVP_PKEY_meth_set_digestsign 4539 1_1_1e EXIST::FUNCTION:
+EVP_PKEY_meth_set_digestverify 4540 1_1_1e EXIST::FUNCTION:
+EVP_PKEY_meth_get_digestverify 4541 1_1_1e EXIST::FUNCTION:
+EVP_PKEY_meth_get_digestsign 4542 1_1_1e EXIST::FUNCTION:
+RSA_get0_pss_params 4543 1_1_1e EXIST::FUNCTION:RSA
+X509_ALGOR_copy 4544 1_1_1h EXIST::FUNCTION:
+X509_REQ_set0_signature 4545 1_1_1h EXIST::FUNCTION:
+X509_REQ_set1_signature_algo 4546 1_1_1h EXIST::FUNCTION:
+EC_KEY_decoded_from_explicit_params 4547 1_1_1h EXIST::FUNCTION:EC
diff --git a/util/mkrc.pl b/util/mkrc.pl
index 6762bc4a..18bde4d0 100755
--- a/util/mkrc.pl
+++ b/util/mkrc.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -46,7 +46,7 @@ if ( $filename =~ /openssl/i ) {
$vft = "VFT_APP";
}
-my $YEAR = [localtime()]->[5] + 1900;
+my $YEAR = [gmtime($ENV{SOURCE_DATE_EPOCH} || time())]->[5] + 1900;
print <<___;
#include <winver.h>
diff --git a/util/perl/OpenSSL/Test.pm b/util/perl/OpenSSL/Test.pm
index 49fb88fe..0df6ad0a 100644
--- a/util/perl/OpenSSL/Test.pm
+++ b/util/perl/OpenSSL/Test.pm
@@ -1,4 +1,4 @@
-# Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -65,7 +65,7 @@ use File::Spec::Functions qw/file_name_is_absolute curdir canonpath splitdir
rel2abs/;
use File::Path 2.00 qw/rmtree mkpath/;
use File::Basename;
-use Cwd qw/abs_path/;
+use Cwd qw/getcwd abs_path/;
my $level = 0;
@@ -904,26 +904,26 @@ sub __srctop_file {
BAIL_OUT("Must run setup() first") if (! $test_name);
my $f = pop;
- return catfile($directories{SRCTOP},@_,$f);
+ return abs2rel(catfile($directories{SRCTOP},@_,$f),getcwd);
}
sub __srctop_dir {
BAIL_OUT("Must run setup() first") if (! $test_name);
- return catdir($directories{SRCTOP},@_);
+ return abs2rel(catdir($directories{SRCTOP},@_), getcwd);
}
sub __bldtop_file {
BAIL_OUT("Must run setup() first") if (! $test_name);
my $f = pop;
- return catfile($directories{BLDTOP},@_,$f);
+ return abs2rel(catfile($directories{BLDTOP},@_,$f), getcwd);
}
sub __bldtop_dir {
BAIL_OUT("Must run setup() first") if (! $test_name);
- return catdir($directories{BLDTOP},@_);
+ return abs2rel(catdir($directories{BLDTOP},@_), getcwd);
}
# __exeext is a function that returns the platform dependent file extension
diff --git a/util/perl/TLSProxy/Proxy.pm b/util/perl/TLSProxy/Proxy.pm
index 71acaff9..6f983b32 100644
--- a/util/perl/TLSProxy/Proxy.pm
+++ b/util/perl/TLSProxy/Proxy.pm
@@ -452,7 +452,7 @@ sub clientstart
} else {
# It's a bit counter-intuitive spot to make next connection to
# the s_server. Rationale is that established connection works
- # as syncronization point, in sense that this way we know that
+ # as synchronization point, in sense that this way we know that
# s_server is actually done with current session...
$self->connect_to_server();
}
diff --git a/util/private.num b/util/private.num
index a6ef44e4..bc7d967b 100644
--- a/util/private.num
+++ b/util/private.num
@@ -75,11 +75,15 @@ X509_STORE_CTX_lookup_crls_fn datatype
X509_STORE_CTX_verify_cb datatype
X509_STORE_CTX_verify_fn datatype
X509_STORE_set_verify_cb_func datatype
+X509_LOOKUP datatype
+X509_LOOKUP_METHOD datatype
+X509_LOOKUP_TYPE datatype
X509_LOOKUP_get_by_alias_fn datatype
X509_LOOKUP_get_by_subject_fn datatype
X509_LOOKUP_get_by_fingerprint_fn datatype
X509_LOOKUP_ctrl_fn datatype
X509_LOOKUP_get_by_issuer_serial_fn datatype
+X509_STORE datatype
bio_info_cb datatype
BIO_info_cb datatype
custom_ext_add_cb datatype
@@ -228,6 +232,8 @@ EVP_PKEY_CTX_set_dh_pad define
EVP_PKEY_CTX_set_dh_rfc5114 define
EVP_PKEY_CTX_set_dhx_rfc5114 define
EVP_PKEY_CTX_set_dsa_paramgen_bits define
+EVP_PKEY_CTX_set_dsa_paramgen_q_bits define
+EVP_PKEY_CTX_set_dsa_paramgen_md define
EVP_PKEY_CTX_set_ec_param_enc define
EVP_PKEY_CTX_set_ec_paramgen_curve_nid define
EVP_PKEY_CTX_set_ecdh_cofactor_mode define
@@ -450,6 +456,8 @@ SSL_want_x509_lookup define
SSLv23_client_method define
SSLv23_method define
SSLv23_server_method define
+X509_LOOKUP_add_dir define
+X509_LOOKUP_load_file define
X509_STORE_set_lookup_crls_cb define
X509_STORE_set_verify_func define
EVP_PKEY_CTX_set1_id define
--
GitLab
From 7fa077d90675c35aef0ca57c724b19e1813d0ab2 Mon Sep 17 00:00:00 2001
From: Apertis CI <devel@lists.apertis.org>
Date: Tue, 15 Jun 2021 10:21:23 +0000
Subject: [PATCH 2/6] Import Upstream version 1.1.1k
---
CHANGES | 44 ++++++++++++++++++++++++++++
Configurations/unix-Makefile.tmpl | 4 +--
NEWS | 8 +++++
README | 4 +--
apps/s_cb.c | 5 ++--
apps/s_time.c | 5 ++--
crypto/asn1/asn1_par.c | 3 +-
crypto/asn1/bio_ndef.c | 4 ++-
crypto/engine/eng_devcrypto.c | 17 +++++++++--
crypto/evp/evp_enc.c | 2 +-
crypto/modes/cbc128.c | 8 +++--
crypto/modes/gcm128.c | 6 ++--
crypto/o_time.c | 6 ++--
crypto/rand/rand_lib.c | 8 +++--
crypto/rsa/rsa_ssl.c | 2 +-
crypto/x509/x509_vfy.c | 12 +++++---
fuzz/x509.c | 2 +-
include/openssl/opensslv.h | 6 ++--
ssl/s3_lib.c | 7 +++--
ssl/ssl_lib.c | 16 +++++++---
ssl/statem/extensions.c | 4 +++
ssl/statem/extensions_clnt.c | 16 ++++++++--
ssl/statem/statem_clnt.c | 8 ++++-
ssl/statem/statem_srvr.c | 19 +++++++++---
test/recipes/70-test_renegotiation.t | 38 ++++++++++++++++++++++--
test/rsa_test.c | 4 +--
test/verify_extra_test.c | 16 ++++++++--
tools/c_rehash.in | 4 +--
util/perl/TLSProxy/Message.pm | 39 +++++++++++++++++++-----
29 files changed, 254 insertions(+), 63 deletions(-)
diff --git a/CHANGES b/CHANGES
index 1ab64b35..7d0129e6 100644
--- a/CHANGES
+++ b/CHANGES
@@ -7,6 +7,50 @@
https://github.com/openssl/openssl/commits/ and pick the appropriate
release branch.
+ Changes between 1.1.1j and 1.1.1k [25 Mar 2021]
+
+ *) Fixed a problem with verifying a certificate chain when using the
+ X509_V_FLAG_X509_STRICT flag. This flag enables additional security checks
+ of the certificates present in a certificate chain. It is not set by
+ default.
+
+ Starting from OpenSSL version 1.1.1h a check to disallow certificates in
+ the chain that have explicitly encoded elliptic curve parameters was added
+ as an additional strict check.
+
+ An error in the implementation of this check meant that the result of a
+ previous check to confirm that certificates in the chain are valid CA
+ certificates was overwritten. This effectively bypasses the check
+ that non-CA certificates must not be able to issue other certificates.
+
+ If a "purpose" has been configured then there is a subsequent opportunity
+ for checks that the certificate is a valid CA. All of the named "purpose"
+ values implemented in libcrypto perform this check. Therefore, where
+ a purpose is set the certificate chain will still be rejected even when the
+ strict flag has been used. A purpose is set by default in libssl client and
+ server certificate verification routines, but it can be overridden or
+ removed by an application.
+
+ In order to be affected, an application must explicitly set the
+ X509_V_FLAG_X509_STRICT verification flag and either not set a purpose
+ for the certificate verification or, in the case of TLS client or server
+ applications, override the default purpose.
+ (CVE-2021-3450)
+ [Tomáš Mráz]
+
+ *) Fixed an issue where an OpenSSL TLS server may crash if sent a maliciously
+ crafted renegotiation ClientHello message from a client. If a TLSv1.2
+ renegotiation ClientHello omits the signature_algorithms extension (where
+ it was present in the initial ClientHello), but includes a
+ signature_algorithms_cert extension then a NULL pointer dereference will
+ result, leading to a crash and a denial of service attack.
+
+ A server is only vulnerable if it has TLSv1.2 and renegotiation enabled
+ (which is the default configuration). OpenSSL TLS clients are not impacted
+ by this issue.
+ (CVE-2021-3449)
+ [Peter Kästle and Samuel Sapalski]
+
Changes between 1.1.1i and 1.1.1j [16 Feb 2021]
*) Fixed the X509_issuer_and_serial_hash() function. It attempts to
diff --git a/Configurations/unix-Makefile.tmpl b/Configurations/unix-Makefile.tmpl
index 3a24d551..41648c95 100644
--- a/Configurations/unix-Makefile.tmpl
+++ b/Configurations/unix-Makefile.tmpl
@@ -917,8 +917,8 @@ errors:
done )
ordinals:
- ( b=`pwd`; cd $(SRCDIR); $(PERL) -I$$b util/mkdef.pl crypto update )
- ( b=`pwd`; cd $(SRCDIR); $(PERL) -I$$b util/mkdef.pl ssl update )
+ $(PERL) $(SRCDIR)/util/mkdef.pl crypto update
+ $(PERL) $(SRCDIR)/util/mkdef.pl ssl update
test_ordinals:
( cd test; \
diff --git a/NEWS b/NEWS
index 3cce5250..05991a0c 100644
--- a/NEWS
+++ b/NEWS
@@ -5,6 +5,14 @@
This file gives a brief overview of the major changes between each OpenSSL
release. For more details please read the CHANGES file.
+ Major changes between OpenSSL 1.1.1j and OpenSSL 1.1.1k [25 Mar 2021]
+
+ o Fixed a problem with verifying a certificate chain when using the
+ X509_V_FLAG_X509_STRICT flag (CVE-2021-3450)
+ o Fixed an issue where an OpenSSL TLS server may crash if sent a
+ maliciously crafted renegotiation ClientHello message from a client
+ (CVE-2021-3449)
+
Major changes between OpenSSL 1.1.1i and OpenSSL 1.1.1j [16 Feb 2021]
o Fixed a NULL pointer deref in the X509_issuer_and_serial_hash()
diff --git a/README b/README
index da5629f9..b92a8bd3 100644
--- a/README
+++ b/README
@@ -1,7 +1,7 @@
- OpenSSL 1.1.1j 16 Feb 2021
+ OpenSSL 1.1.1k 25 Mar 2021
- Copyright (c) 1998-2020 The OpenSSL Project
+ Copyright (c) 1998-2021 The OpenSSL Project
Copyright (c) 1995-1998 Eric A. Young, Tim J. Hudson
All rights reserved.
diff --git a/apps/s_cb.c b/apps/s_cb.c
index 6406ddfb..dee1b2e5 100644
--- a/apps/s_cb.c
+++ b/apps/s_cb.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -934,7 +934,8 @@ static int set_cert_cb(SSL *ssl, void *arg)
if (!SSL_build_cert_chain(ssl, 0))
return 0;
} else if (exc->chain != NULL) {
- SSL_set1_chain(ssl, exc->chain);
+ if (!SSL_set1_chain(ssl, exc->chain))
+ return 0;
}
}
exc = exc->prev;
diff --git a/apps/s_time.c b/apps/s_time.c
index 628e65b2..1235e545 100644
--- a/apps/s_time.c
+++ b/apps/s_time.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -263,7 +263,8 @@ int s_time_main(int argc, char **argv)
nConn, totalTime, ((double)nConn / totalTime), bytes_read);
printf
("%d connections in %ld real seconds, %ld bytes read per connection\n",
- nConn, (long)time(NULL) - finishtime + maxtime, bytes_read / nConn);
+ nConn, (long)time(NULL) - finishtime + maxtime,
+ nConn > 0 ? bytes_read / nConn : 0l);
/*
* Now loop and time connections using the same session id over and over
diff --git a/crypto/asn1/asn1_par.c b/crypto/asn1/asn1_par.c
index 3f10c7cb..a32fa47f 100644
--- a/crypto/asn1/asn1_par.c
+++ b/crypto/asn1/asn1_par.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -325,6 +325,7 @@ static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
}
if (BIO_puts(bp, "]") <= 0)
goto end;
+ dump_cont = 0;
}
if (!nl) {
diff --git a/crypto/asn1/bio_ndef.c b/crypto/asn1/bio_ndef.c
index 6222c990..d7d7d80e 100644
--- a/crypto/asn1/bio_ndef.c
+++ b/crypto/asn1/bio_ndef.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -113,6 +113,8 @@ static int ndef_prefix(BIO *b, unsigned char **pbuf, int *plen, void *parg)
ndef_aux = *(NDEF_SUPPORT **)parg;
derlen = ASN1_item_ndef_i2d(ndef_aux->val, NULL, ndef_aux->it);
+ if (derlen < 0)
+ return 0;
if ((p = OPENSSL_malloc(derlen)) == NULL) {
ASN1err(ASN1_F_NDEF_PREFIX, ERR_R_MALLOC_FAILURE);
return 0;
diff --git a/crypto/engine/eng_devcrypto.c b/crypto/engine/eng_devcrypto.c
index 49e9ce1a..84a3b7db 100644
--- a/crypto/engine/eng_devcrypto.c
+++ b/crypto/engine/eng_devcrypto.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -758,8 +758,9 @@ static int devcrypto_unload(ENGINE *e)
void engine_load_devcrypto_int()
{
ENGINE *e = NULL;
+ int fd;
- if ((cfd = open("/dev/crypto", O_RDWR, 0)) < 0) {
+ if ((fd = open("/dev/crypto", O_RDWR, 0)) < 0) {
#ifndef ENGINE_DEVCRYPTO_DEBUG
if (errno != ENOENT)
#endif
@@ -767,6 +768,18 @@ void engine_load_devcrypto_int()
return;
}
+#ifdef CRIOGET
+ if (ioctl(fd, CRIOGET, &cfd) < 0) {
+ fprintf(stderr, "Could not create crypto fd: %s\n", strerror(errno));
+ close(fd);
+ cfd = -1;
+ return;
+ }
+ close(fd);
+#else
+ cfd = fd;
+#endif
+
if ((e = ENGINE_new()) == NULL
|| !ENGINE_set_destroy_function(e, devcrypto_unload)) {
ENGINE_free(e);
diff --git a/crypto/evp/evp_enc.c b/crypto/evp/evp_enc.c
index 0843caf4..e3c165d4 100644
--- a/crypto/evp/evp_enc.c
+++ b/crypto/evp/evp_enc.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/modes/cbc128.c b/crypto/modes/cbc128.c
index c85e37c6..15a14be7 100644
--- a/crypto/modes/cbc128.c
+++ b/crypto/modes/cbc128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -69,7 +69,8 @@ void CRYPTO_cbc128_encrypt(const unsigned char *in, unsigned char *out,
in += 16;
out += 16;
}
- memcpy(ivec, iv, 16);
+ if (ivec != iv)
+ memcpy(ivec, iv, 16);
}
void CRYPTO_cbc128_decrypt(const unsigned char *in, unsigned char *out,
@@ -114,7 +115,8 @@ void CRYPTO_cbc128_decrypt(const unsigned char *in, unsigned char *out,
out += 16;
}
}
- memcpy(ivec, iv, 16);
+ if (ivec != iv)
+ memcpy(ivec, iv, 16);
} else {
if (STRICT_ALIGNMENT &&
((size_t)in | (size_t)out | (size_t)ivec) % sizeof(size_t) != 0) {
diff --git a/crypto/modes/gcm128.c b/crypto/modes/gcm128.c
index 0c0bf3cd..8304efff 100644
--- a/crypto/modes/gcm128.c
+++ b/crypto/modes/gcm128.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2010-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -1385,8 +1385,8 @@ int CRYPTO_gcm128_decrypt(GCM128_CONTEXT *ctx,
else
ctx->Yi.d[3] = ctr;
for (i = 0; i < 16 / sizeof(size_t); ++i) {
- size_t c = in[i];
- out[i] = c ^ ctx->EKi.t[i];
+ size_t c = in_t[i];
+ out_t[i] = c ^ ctx->EKi.t[i];
ctx->Xi.t[i] ^= c;
}
GCM_MUL(ctx);
diff --git a/crypto/o_time.c b/crypto/o_time.c
index 3502edda..3fa70c45 100644
--- a/crypto/o_time.c
+++ b/crypto/o_time.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -133,8 +133,8 @@ int OPENSSL_gmtime_diff(int *pday, int *psec,
static int julian_adj(const struct tm *tm, int off_day, long offset_sec,
long *pday, int *psec)
{
- int offset_hms, offset_day;
- long time_jd;
+ int offset_hms;
+ long offset_day, time_jd;
int time_year, time_month, time_day;
/* split offset into days and day seconds */
offset_day = offset_sec / SECS_PER_DAY;
diff --git a/crypto/rand/rand_lib.c b/crypto/rand/rand_lib.c
index ba3a29e5..5c72fad8 100644
--- a/crypto/rand/rand_lib.c
+++ b/crypto/rand/rand_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -432,9 +432,13 @@ err:
RAND_POOL *rand_pool_new(int entropy_requested, int secure,
size_t min_len, size_t max_len)
{
- RAND_POOL *pool = OPENSSL_zalloc(sizeof(*pool));
+ RAND_POOL *pool;
size_t min_alloc_size = RAND_POOL_MIN_ALLOCATION(secure);
+ if (!RUN_ONCE(&rand_init, do_rand_init))
+ return NULL;
+
+ pool = OPENSSL_zalloc(sizeof(*pool));
if (pool == NULL) {
RANDerr(RAND_F_RAND_POOL_NEW, ERR_R_MALLOC_FAILURE);
return NULL;
diff --git a/crypto/rsa/rsa_ssl.c b/crypto/rsa/rsa_ssl.c
index ecdb3cee..e1c755ae 100644
--- a/crypto/rsa/rsa_ssl.c
+++ b/crypto/rsa/rsa_ssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/x509/x509_vfy.c b/crypto/x509/x509_vfy.c
index 0c71b2e8..20a36e76 100644
--- a/crypto/x509/x509_vfy.c
+++ b/crypto/x509/x509_vfy.c
@@ -524,15 +524,19 @@ static int check_chain_extensions(X509_STORE_CTX *ctx)
ret = 1;
break;
}
- if ((ctx->param->flags & X509_V_FLAG_X509_STRICT) && num > 1) {
+ if (ret > 0
+ && (ctx->param->flags & X509_V_FLAG_X509_STRICT) && num > 1) {
/* Check for presence of explicit elliptic curve parameters */
ret = check_curve(x);
- if (ret < 0)
+ if (ret < 0) {
ctx->error = X509_V_ERR_UNSPECIFIED;
- else if (ret == 0)
+ ret = 0;
+ } else if (ret == 0) {
ctx->error = X509_V_ERR_EC_KEY_EXPLICIT_PARAMS;
+ }
}
- if ((x->ex_flags & EXFLAG_CA) == 0
+ if (ret > 0
+ && (x->ex_flags & EXFLAG_CA) == 0
&& x->ex_pathlen != -1
&& (ctx->param->flags & X509_V_FLAG_X509_STRICT)) {
ctx->error = X509_V_ERR_INVALID_EXTENSION;
diff --git a/fuzz/x509.c b/fuzz/x509.c
index 1a20ca21..ceaec079 100644
--- a/fuzz/x509.c
+++ b/fuzz/x509.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL licenses, (the "License");
* you may not use this file except in compliance with the License.
diff --git a/include/openssl/opensslv.h b/include/openssl/opensslv.h
index cd5c2321..0cd6b2f9 100644
--- a/include/openssl/opensslv.h
+++ b/include/openssl/opensslv.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -39,8 +39,8 @@ extern "C" {
* (Prior to 0.9.5a beta1, a different scheme was used: MMNNFFRBB for
* major minor fix final patch/beta)
*/
-# define OPENSSL_VERSION_NUMBER 0x101010afL
-# define OPENSSL_VERSION_TEXT "OpenSSL 1.1.1j 16 Feb 2021"
+# define OPENSSL_VERSION_NUMBER 0x101010bfL
+# define OPENSSL_VERSION_TEXT "OpenSSL 1.1.1k 25 Mar 2021"
/*-
* The macros below are to be used for shared library (.so, .dll, ...)
diff --git a/ssl/s3_lib.c b/ssl/s3_lib.c
index 4511b52c..b256a4b9 100644
--- a/ssl/s3_lib.c
+++ b/ssl/s3_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -4629,6 +4629,7 @@ int ssl_generate_master_secret(SSL *s, unsigned char *pms, size_t pmslen,
OPENSSL_clear_free(s->s3->tmp.psk, psklen);
s->s3->tmp.psk = NULL;
+ s->s3->tmp.psklen = 0;
if (!s->method->ssl3_enc->generate_master_secret(s,
s->session->master_key, pskpms, pskpmslen,
&s->session->master_key_length)) {
@@ -4658,8 +4659,10 @@ int ssl_generate_master_secret(SSL *s, unsigned char *pms, size_t pmslen,
else
OPENSSL_cleanse(pms, pmslen);
}
- if (s->server == 0)
+ if (s->server == 0) {
s->s3->tmp.pms = NULL;
+ s->s3->tmp.pmslen = 0;
+ }
return ret;
}
diff --git a/ssl/ssl_lib.c b/ssl/ssl_lib.c
index 98057921..58f8f3c1 100644
--- a/ssl/ssl_lib.c
+++ b/ssl/ssl_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -779,8 +779,10 @@ SSL *SSL_new(SSL_CTX *ctx)
s->ext.ecpointformats =
OPENSSL_memdup(ctx->ext.ecpointformats,
ctx->ext.ecpointformats_len);
- if (!s->ext.ecpointformats)
+ if (!s->ext.ecpointformats) {
+ s->ext.ecpointformats_len = 0;
goto err;
+ }
s->ext.ecpointformats_len =
ctx->ext.ecpointformats_len;
}
@@ -789,8 +791,10 @@ SSL *SSL_new(SSL_CTX *ctx)
OPENSSL_memdup(ctx->ext.supportedgroups,
ctx->ext.supportedgroups_len
* sizeof(*ctx->ext.supportedgroups));
- if (!s->ext.supportedgroups)
+ if (!s->ext.supportedgroups) {
+ s->ext.supportedgroups_len = 0;
goto err;
+ }
s->ext.supportedgroups_len = ctx->ext.supportedgroups_len;
}
#endif
@@ -800,8 +804,10 @@ SSL *SSL_new(SSL_CTX *ctx)
if (s->ctx->ext.alpn) {
s->ext.alpn = OPENSSL_malloc(s->ctx->ext.alpn_len);
- if (s->ext.alpn == NULL)
+ if (s->ext.alpn == NULL) {
+ s->ext.alpn_len = 0;
goto err;
+ }
memcpy(s->ext.alpn, s->ctx->ext.alpn, s->ctx->ext.alpn_len);
s->ext.alpn_len = s->ctx->ext.alpn_len;
}
@@ -2834,6 +2840,7 @@ int SSL_CTX_set_alpn_protos(SSL_CTX *ctx, const unsigned char *protos,
OPENSSL_free(ctx->ext.alpn);
ctx->ext.alpn = OPENSSL_memdup(protos, protos_len);
if (ctx->ext.alpn == NULL) {
+ ctx->ext.alpn_len = 0;
SSLerr(SSL_F_SSL_CTX_SET_ALPN_PROTOS, ERR_R_MALLOC_FAILURE);
return 1;
}
@@ -2853,6 +2860,7 @@ int SSL_set_alpn_protos(SSL *ssl, const unsigned char *protos,
OPENSSL_free(ssl->ext.alpn);
ssl->ext.alpn = OPENSSL_memdup(protos, protos_len);
if (ssl->ext.alpn == NULL) {
+ ssl->ext.alpn_len = 0;
SSLerr(SSL_F_SSL_SET_ALPN_PROTOS, ERR_R_MALLOC_FAILURE);
return 1;
}
diff --git a/ssl/statem/extensions.c b/ssl/statem/extensions.c
index 9f51a6eb..e1a3b1db 100644
--- a/ssl/statem/extensions.c
+++ b/ssl/statem/extensions.c
@@ -336,6 +336,8 @@ static const EXTENSION_DEFINITION ext_defs[] = {
tls_construct_stoc_key_share, tls_construct_ctos_key_share,
final_key_share
},
+#else
+ INVALID_EXTENSION,
#endif
{
/* Must be after key_share */
@@ -1137,6 +1139,7 @@ static int init_sig_algs(SSL *s, unsigned int context)
/* Clear any signature algorithms extension received */
OPENSSL_free(s->s3->tmp.peer_sigalgs);
s->s3->tmp.peer_sigalgs = NULL;
+ s->s3->tmp.peer_sigalgslen = 0;
return 1;
}
@@ -1146,6 +1149,7 @@ static int init_sig_algs_cert(SSL *s, unsigned int context)
/* Clear any signature algorithms extension received */
OPENSSL_free(s->s3->tmp.peer_cert_sigalgs);
s->s3->tmp.peer_cert_sigalgs = NULL;
+ s->s3->tmp.peer_cert_sigalgslen = 0;
return 1;
}
diff --git a/ssl/statem/extensions_clnt.c b/ssl/statem/extensions_clnt.c
index bcce0f1d..ce8a7579 100644
--- a/ssl/statem/extensions_clnt.c
+++ b/ssl/statem/extensions_clnt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -816,6 +816,7 @@ EXT_RETURN tls_construct_ctos_early_data(SSL *s, WPACKET *pkt,
OPENSSL_free(s->psksession_id);
s->psksession_id = OPENSSL_memdup(id, idlen);
if (s->psksession_id == NULL) {
+ s->psksession_id_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_CONSTRUCT_CTOS_EARLY_DATA, ERR_R_INTERNAL_ERROR);
return EXT_RETURN_FAIL;
@@ -1375,6 +1376,7 @@ int tls_parse_stoc_ec_pt_formats(SSL *s, PACKET *pkt, unsigned int context,
OPENSSL_free(s->ext.peer_ecpointformats);
s->ext.peer_ecpointformats = OPENSSL_malloc(ecpointformats_len);
if (s->ext.peer_ecpointformats == NULL) {
+ s->ext.peer_ecpointformats_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_PARSE_STOC_EC_PT_FORMATS, ERR_R_INTERNAL_ERROR);
return 0;
@@ -1492,8 +1494,13 @@ int tls_parse_stoc_sct(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
s->ext.scts_len = (uint16_t)size;
if (size > 0) {
s->ext.scts = OPENSSL_malloc(size);
- if (s->ext.scts == NULL
- || !PACKET_copy_bytes(pkt, s->ext.scts, size)) {
+ if (s->ext.scts == NULL) {
+ s->ext.scts_len = 0;
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_SCT,
+ ERR_R_MALLOC_FAILURE);
+ return 0;
+ }
+ if (!PACKET_copy_bytes(pkt, s->ext.scts, size)) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_SCT,
ERR_R_INTERNAL_ERROR);
return 0;
@@ -1592,6 +1599,7 @@ int tls_parse_stoc_npn(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
OPENSSL_free(s->ext.npn);
s->ext.npn = OPENSSL_malloc(selected_len);
if (s->ext.npn == NULL) {
+ s->ext.npn_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_NPN,
ERR_R_INTERNAL_ERROR);
return 0;
@@ -1632,6 +1640,7 @@ int tls_parse_stoc_alpn(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
OPENSSL_free(s->s3->alpn_selected);
s->s3->alpn_selected = OPENSSL_malloc(len);
if (s->s3->alpn_selected == NULL) {
+ s->s3->alpn_selected_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_ALPN,
ERR_R_INTERNAL_ERROR);
return 0;
@@ -1663,6 +1672,7 @@ int tls_parse_stoc_alpn(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
s->session->ext.alpn_selected =
OPENSSL_memdup(s->s3->alpn_selected, s->s3->alpn_selected_len);
if (s->session->ext.alpn_selected == NULL) {
+ s->session->ext.alpn_selected_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_ALPN,
ERR_R_INTERNAL_ERROR);
return 0;
diff --git a/ssl/statem/statem_clnt.c b/ssl/statem/statem_clnt.c
index d84cc046..de58f1a4 100644
--- a/ssl/statem/statem_clnt.c
+++ b/ssl/statem/statem_clnt.c
@@ -2462,6 +2462,7 @@ MSG_PROCESS_RETURN tls_process_certificate_request(SSL *s, PACKET *pkt)
s->s3->tmp.ctype_len = 0;
OPENSSL_free(s->pha_context);
s->pha_context = NULL;
+ s->pha_context_len = 0;
if (!PACKET_get_length_prefixed_1(pkt, &reqctx) ||
!PACKET_memdup(&reqctx, &s->pha_context, &s->pha_context_len)) {
@@ -2771,16 +2772,17 @@ int tls_process_cert_status_body(SSL *s, PACKET *pkt)
}
s->ext.ocsp.resp = OPENSSL_malloc(resplen);
if (s->ext.ocsp.resp == NULL) {
+ s->ext.ocsp.resp_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PROCESS_CERT_STATUS_BODY,
ERR_R_MALLOC_FAILURE);
return 0;
}
+ s->ext.ocsp.resp_len = resplen;
if (!PACKET_copy_bytes(pkt, s->ext.ocsp.resp, resplen)) {
SSLfatal(s, SSL_AD_DECODE_ERROR, SSL_F_TLS_PROCESS_CERT_STATUS_BODY,
SSL_R_LENGTH_MISMATCH);
return 0;
}
- s->ext.ocsp.resp_len = resplen;
return 1;
}
@@ -2905,6 +2907,7 @@ static int tls_construct_cke_psk_preamble(SSL *s, WPACKET *pkt)
if (psklen > PSK_MAX_PSK_LEN) {
SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE,
SSL_F_TLS_CONSTRUCT_CKE_PSK_PREAMBLE, ERR_R_INTERNAL_ERROR);
+ psklen = PSK_MAX_PSK_LEN; /* Avoid overrunning the array on cleanse */
goto err;
} else if (psklen == 0) {
SSLfatal(s, SSL_AD_HANDSHAKE_FAILURE,
@@ -3350,9 +3353,11 @@ int tls_construct_client_key_exchange(SSL *s, WPACKET *pkt)
err:
OPENSSL_clear_free(s->s3->tmp.pms, s->s3->tmp.pmslen);
s->s3->tmp.pms = NULL;
+ s->s3->tmp.pmslen = 0;
#ifndef OPENSSL_NO_PSK
OPENSSL_clear_free(s->s3->tmp.psk, s->s3->tmp.psklen);
s->s3->tmp.psk = NULL;
+ s->s3->tmp.psklen = 0;
#endif
return 0;
}
@@ -3427,6 +3432,7 @@ int tls_client_key_exchange_post_work(SSL *s)
err:
OPENSSL_clear_free(pms, pmslen);
s->s3->tmp.pms = NULL;
+ s->s3->tmp.pmslen = 0;
return 0;
}
diff --git a/ssl/statem/statem_srvr.c b/ssl/statem/statem_srvr.c
index cf45a40c..fec12f61 100644
--- a/ssl/statem/statem_srvr.c
+++ b/ssl/statem/statem_srvr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -2178,6 +2178,7 @@ int tls_handle_alpn(SSL *s)
OPENSSL_free(s->s3->alpn_selected);
s->s3->alpn_selected = OPENSSL_memdup(selected, selected_len);
if (s->s3->alpn_selected == NULL) {
+ s->s3->alpn_selected_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_HANDLE_ALPN,
ERR_R_INTERNAL_ERROR);
return 0;
@@ -2853,9 +2854,16 @@ int tls_construct_certificate_request(SSL *s, WPACKET *pkt)
if (s->post_handshake_auth == SSL_PHA_REQUEST_PENDING) {
OPENSSL_free(s->pha_context);
s->pha_context_len = 32;
- if ((s->pha_context = OPENSSL_malloc(s->pha_context_len)) == NULL
- || RAND_bytes(s->pha_context, s->pha_context_len) <= 0
- || !WPACKET_sub_memcpy_u8(pkt, s->pha_context, s->pha_context_len)) {
+ if ((s->pha_context = OPENSSL_malloc(s->pha_context_len)) == NULL) {
+ s->pha_context_len = 0;
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR,
+ SSL_F_TLS_CONSTRUCT_CERTIFICATE_REQUEST,
+ ERR_R_INTERNAL_ERROR);
+ return 0;
+ }
+ if (RAND_bytes(s->pha_context, s->pha_context_len) <= 0
+ || !WPACKET_sub_memcpy_u8(pkt, s->pha_context,
+ s->pha_context_len)) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_CONSTRUCT_CERTIFICATE_REQUEST,
ERR_R_INTERNAL_ERROR);
@@ -2969,6 +2977,7 @@ static int tls_process_cke_psk_preamble(SSL *s, PACKET *pkt)
OPENSSL_cleanse(psk, psklen);
if (s->s3->tmp.psk == NULL) {
+ s->s3->tmp.psklen = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_PROCESS_CKE_PSK_PREAMBLE, ERR_R_MALLOC_FAILURE);
return 0;
@@ -3508,6 +3517,7 @@ MSG_PROCESS_RETURN tls_process_client_key_exchange(SSL *s, PACKET *pkt)
#ifndef OPENSSL_NO_PSK
OPENSSL_clear_free(s->s3->tmp.psk, s->s3->tmp.psklen);
s->s3->tmp.psk = NULL;
+ s->s3->tmp.psklen = 0;
#endif
return MSG_PROCESS_ERROR;
}
@@ -4117,6 +4127,7 @@ int tls_construct_new_session_ticket(SSL *s, WPACKET *pkt)
s->session->ext.alpn_selected =
OPENSSL_memdup(s->s3->alpn_selected, s->s3->alpn_selected_len);
if (s->session->ext.alpn_selected == NULL) {
+ s->session->ext.alpn_selected_len = 0;
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_CONSTRUCT_NEW_SESSION_TICKET,
ERR_R_MALLOC_FAILURE);
diff --git a/test/recipes/70-test_renegotiation.t b/test/recipes/70-test_renegotiation.t
index 734f1cd2..a8162189 100644
--- a/test/recipes/70-test_renegotiation.t
+++ b/test/recipes/70-test_renegotiation.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -38,7 +38,7 @@ my $proxy = TLSProxy::Proxy->new(
$proxy->clientflags("-no_tls1_3");
$proxy->reneg(1);
$proxy->start() or plan skip_all => "Unable to start up Proxy for tests";
-plan tests => 3;
+plan tests => 4;
ok(TLSProxy::Message->success(), "Basic renegotiation");
#Test 2: Client does not send the Reneg SCSV. Reneg should fail
@@ -77,6 +77,20 @@ SKIP: {
"Check ClientHello version is the same");
}
+SKIP: {
+ skip "TLSv1.2 disabled", 1
+ if disabled("tls1_2");
+
+ #Test 4: Test for CVE-2021-3449. client_sig_algs instead of sig_algs in
+ # resumption ClientHello
+ $proxy->clear();
+ $proxy->filter(\&sigalgs_filter);
+ $proxy->clientflags("-tls1_2");
+ $proxy->reneg(1);
+ $proxy->start();
+ ok(TLSProxy::Message->fail(), "client_sig_algs instead of sig_algs");
+}
+
sub reneg_filter
{
my $proxy = shift;
@@ -96,3 +110,23 @@ sub reneg_filter
}
}
}
+
+sub sigalgs_filter
+{
+ my $proxy = shift;
+ my $cnt = 0;
+
+ # We're only interested in the second ClientHello message
+ foreach my $message (@{$proxy->message_list}) {
+ if ($message->mt == TLSProxy::Message::MT_CLIENT_HELLO) {
+ next if ($cnt++ == 0);
+
+ my $sigs = pack "C10", 0x00, 0x08,
+ # rsa_pkcs_sha{256,384,512,1}
+ 0x04, 0x01, 0x05, 0x01, 0x06, 0x01, 0x02, 0x01;
+ $message->set_extension(TLSProxy::Message::EXT_SIG_ALGS_CERT, $sigs);
+ $message->delete_extension(TLSProxy::Message::EXT_SIG_ALGS);
+ $message->repack();
+ }
+ }
+}
diff --git a/test/rsa_test.c b/test/rsa_test.c
index 11e373cc..be6db029 100644
--- a/test/rsa_test.c
+++ b/test/rsa_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -304,7 +304,7 @@ static int test_rsa_sslv23(int idx)
static int test_rsa_oaep(int idx)
{
int ret = 0;
- RSA *key;
+ RSA *key = NULL;
unsigned char ptext[256];
unsigned char ctext[256];
static unsigned char ptext_ex[] = "\x54\x85\x9b\x34\x2c\x49\xea\x2a";
diff --git a/test/verify_extra_test.c b/test/verify_extra_test.c
index 010403e7..b9959e0c 100644
--- a/test/verify_extra_test.c
+++ b/test/verify_extra_test.c
@@ -140,10 +140,22 @@ static int test_alt_chains_cert_forgery(void)
i = X509_verify_cert(sctx);
- if (i == 0 && X509_STORE_CTX_get_error(sctx) == X509_V_ERR_INVALID_CA) {
+ if (i != 0 || X509_STORE_CTX_get_error(sctx) != X509_V_ERR_INVALID_CA)
+ goto err;
+
+ /* repeat with X509_V_FLAG_X509_STRICT */
+ X509_STORE_CTX_cleanup(sctx);
+ X509_STORE_set_flags(store, X509_V_FLAG_X509_STRICT);
+
+ if (!X509_STORE_CTX_init(sctx, store, x, untrusted))
+ goto err;
+
+ i = X509_verify_cert(sctx);
+
+ if (i == 0 && X509_STORE_CTX_get_error(sctx) == X509_V_ERR_INVALID_CA)
/* This is the result we were expecting: Test passed */
ret = 1;
- }
+
err:
X509_STORE_CTX_free(sctx);
X509_free(x);
diff --git a/tools/c_rehash.in b/tools/c_rehash.in
index 421fd892..fa7c6c9f 100644
--- a/tools/c_rehash.in
+++ b/tools/c_rehash.in
@@ -1,7 +1,7 @@
#!{- $config{HASHBANGPERL} -}
# {- join("\n# ", @autowarntext) -}
-# Copyright 1999-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -161,7 +161,7 @@ sub check_file {
sub link_hash_cert {
my $fname = $_[0];
- $fname =~ s/'/'\\''/g;
+ $fname =~ s/\"/\\\"/g;
my ($hash, $fprint) = `"$openssl" x509 $x509hash -fingerprint -noout -in "$fname"`;
chomp $hash;
chomp $fprint;
diff --git a/util/perl/TLSProxy/Message.pm b/util/perl/TLSProxy/Message.pm
index 10b61560..c3c48066 100644
--- a/util/perl/TLSProxy/Message.pm
+++ b/util/perl/TLSProxy/Message.pm
@@ -1,4 +1,4 @@
-# Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -448,7 +448,7 @@ sub ciphersuite
}
#Update all the underlying records with the modified data from this message
-#Note: Only supports re-encrypting for TLSv1.3
+#Note: Only supports TLSv1.3 and ETM encryption
sub repack
{
my $self = shift;
@@ -490,15 +490,38 @@ sub repack
# (If a length override is ever needed to construct invalid packets,
# use an explicit override field instead.)
$rec->decrypt_len(length($rec->decrypt_data));
- $rec->len($rec->len + length($msgdata) - $old_length);
- # Only support re-encryption for TLSv1.3.
- if (TLSProxy::Proxy->is_tls13() && $rec->encrypted()) {
- #Add content type (1 byte) and 16 tag bytes
- $rec->data($rec->decrypt_data
- .pack("C", TLSProxy::Record::RT_HANDSHAKE).("\0"x16));
+ # Only support re-encryption for TLSv1.3 and ETM.
+ if ($rec->encrypted()) {
+ if (TLSProxy::Proxy->is_tls13()) {
+ #Add content type (1 byte) and 16 tag bytes
+ $rec->data($rec->decrypt_data
+ .pack("C", TLSProxy::Record::RT_HANDSHAKE).("\0"x16));
+ } elsif ($rec->etm()) {
+ my $data = $rec->decrypt_data;
+ #Add padding
+ my $padval = length($data) % 16;
+ $padval = 15 - $padval;
+ for (0..$padval) {
+ $data .= pack("C", $padval);
+ }
+
+ #Add MAC. Assumed to be 20 bytes
+ foreach my $macval (0..19) {
+ $data .= pack("C", $macval);
+ }
+
+ if ($rec->version() >= TLSProxy::Record::VERS_TLS_1_1) {
+ #Explicit IV
+ $data = ("\0"x16).$data;
+ }
+ $rec->data($data);
+ } else {
+ die "Unsupported encryption: No ETM";
+ }
} else {
$rec->data($rec->decrypt_data);
}
+ $rec->len(length($rec->data));
#Update the fragment len in case we changed it above
${$self->message_frag_lens}[0] = length($msgdata)
--
GitLab
From a05355c7129035f000d70ebc1b9f312d5ffd9db9 Mon Sep 17 00:00:00 2001
From: Apertis CI <devel@lists.apertis.org>
Date: Mon, 28 Mar 2022 14:51:56 +0000
Subject: [PATCH 3/6] Import Upstream version 1.1.1n
---
CHANGES | 122 +++
Configurations/10-main.conf | 16 +-
Configurations/15-android.conf | 84 +-
Configurations/descrip.mms.tmpl | 3 +-
Configurations/unix-Makefile.tmpl | 1 -
Configurations/windows-makefile.tmpl | 26 +-
Configure | 25 +-
NEWS | 14 +
README | 2 +-
apps/apps.c | 10 +-
apps/ciphers.c | 3 +-
apps/crl2p7.c | 18 +-
apps/dgst.c | 6 +-
apps/enc.c | 4 +-
apps/openssl.c | 6 +-
apps/passwd.c | 10 +-
apps/s_cb.c | 4 +-
apps/s_client.c | 15 +-
apps/s_server.c | 13 +-
apps/s_socket.c | 14 +-
apps/speed.c | 10 +-
apps/vms_decc_argv.c | 66 ++
apps/vms_decc_init.c | 40 +-
config | 1 +
crypto/armcap.c | 30 +-
crypto/asn1/a_object.c | 15 +-
crypto/asn1/a_print.c | 9 +-
crypto/asn1/a_strex.c | 4 +-
crypto/asn1/asn1_lib.c | 21 +-
crypto/asn1/bio_asn1.c | 7 +-
crypto/asn1/bio_ndef.c | 3 +
crypto/asn1/charmap.h | 2 +-
crypto/asn1/d2i_pr.c | 73 +-
crypto/asn1/t_spki.c | 4 +-
crypto/bio/b_addr.c | 6 +-
crypto/bio/b_sock2.c | 5 +-
crypto/bio/bss_dgram.c | 6 +-
crypto/bio/bss_mem.c | 4 +-
crypto/bn/asm/mips.pl | 6 +-
crypto/bn/bn_div.c | 9 +-
crypto/bn/bn_exp2.c | 4 +-
crypto/bn/bn_prime.h | 2 +-
crypto/bn/bn_print.c | 2 +-
crypto/bn/bn_sqrt.c | 32 +-
crypto/chacha/asm/chacha-x86_64.pl | 54 +-
crypto/cms/cms_env.c | 3 +-
crypto/conf/conf_def.h | 2 +-
crypto/dh/dh_ameth.c | 13 +-
crypto/dsa/dsa_prn.c | 14 +-
crypto/ec/curve448/field.h | 4 +-
crypto/ec/ec2_oct.c | 43 +-
crypto/ec/ec_asn1.c | 9 +-
crypto/ec/ec_curve.c | 29 +-
crypto/engine/eng_all.c | 5 +-
crypto/engine/eng_dyn.c | 17 +-
crypto/engine/eng_lib.c | 4 +-
crypto/engine/eng_list.c | 89 +-
crypto/engine/eng_local.h | 11 +-
crypto/err/err.c | 3 +-
crypto/err/openssl.txt | 5 +
crypto/evp/digest.c | 34 +-
crypto/evp/e_aes.c | 192 ++--
crypto/evp/e_camellia.c | 10 +-
crypto/evp/evp_enc.c | 12 +-
crypto/evp/p_lib.c | 13 +-
crypto/hmac/hm_ameth.c | 5 +-
crypto/lhash/lhash.c | 8 +-
crypto/objects/o_names.c | 16 +-
crypto/objects/obj_dat.c | 7 +-
crypto/objects/obj_dat.h | 2 +-
crypto/objects/obj_xref.h | 2 +-
crypto/pem/pem_lib.c | 25 +-
crypto/pkcs12/p12_key.c | 4 +-
crypto/poly1305/poly1305_ameth.c | 4 +-
crypto/ppccap.c | 6 +
crypto/rand/rand_unix.c | 7 +-
crypto/rand/rand_vms.c | 6 +-
crypto/rsa/rsa_prn.c | 8 +-
crypto/siphash/siphash_ameth.c | 4 +-
crypto/sm2/sm2_crypt.c | 29 +-
crypto/sm2/sm2_pmeth.c | 4 +-
crypto/sparcv9cap.c | 3 +-
crypto/srp/srp_vfy.c | 13 +-
crypto/store/loader_file.c | 3 +-
crypto/ts/ts_rsp_verify.c | 3 +-
crypto/ts/ts_verify_ctx.c | 5 +-
crypto/ui/ui_openssl.c | 8 +-
crypto/uid.c | 10 +-
crypto/x509/t_x509.c | 6 +-
crypto/x509/x509_vfy.c | 75 +-
crypto/x509/x509_vpm.c | 6 +-
crypto/x509/x_name.c | 6 +-
crypto/x509v3/v3_akey.c | 40 +-
crypto/x509v3/v3_alt.c | 12 +-
crypto/x509v3/v3_cpols.c | 11 +-
crypto/x509v3/v3_ncons.c | 82 +-
crypto/x509v3/v3_pci.c | 5 +-
crypto/x509v3/v3_utl.c | 75 +-
crypto/x509v3/v3err.c | 6 +-
demos/bio/client-arg.c | 8 +-
demos/bio/client-conf.c | 8 +-
doc/man1/cms.pod | 5 +-
doc/man1/enc.pod | 4 +-
doc/man1/passwd.pod | 4 +-
doc/man1/pkeyutl.pod | 10 +
doc/man1/s_client.pod | 2 +-
doc/man1/s_server.pod | 2 +-
doc/man3/BIO_ctrl.pod | 4 +-
doc/man3/BIO_f_base64.pod | 21 +-
doc/man3/BIO_f_ssl.pod | 24 +-
doc/man3/BIO_push.pod | 55 +-
doc/man3/BN_add.pod | 17 +-
doc/man3/BN_cmp.pod | 41 +-
doc/man3/BN_rand.pod | 4 +-
doc/man3/DEFINE_STACK_OF.pod | 3 +-
doc/man3/ENGINE_add.pod | 7 +-
doc/man3/ERR_load_strings.pod | 6 +-
doc/man3/EVP_EncryptInit.pod | 16 +-
doc/man3/OBJ_nid2obj.pod | 62 +-
doc/man3/SSL_CONF_cmd.pod | 4 +-
doc/man3/SSL_CTX_set_num_tickets.pod | 10 +-
doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod | 4 +-
doc/man3/SSL_get_session.pod | 9 +-
doc/man3/SSL_set_fd.pod | 13 +-
doc/man3/X509_STORE_CTX_new.pod | 71 +-
doc/man3/d2i_PrivateKey.pod | 6 +-
doc/man3/d2i_X509.pod | 6 +-
doc/man7/ossl_store.pod | 4 +-
doc/man7/x509.pod | 6 +-
engines/e_afalg.c | 9 +-
engines/e_dasync.c | 30 +-
include/crypto/rand.h | 12 +-
include/crypto/sm2.h | 5 +-
include/crypto/x509.h | 7 +-
include/internal/sockets.h | 4 +-
include/openssl/e_os2.h | 5 +-
include/openssl/ec.h | 17 +-
include/openssl/engine.h | 3 +-
include/openssl/obj_mac.h | 2 +-
include/openssl/opensslv.h | 4 +-
include/openssl/sslerr.h | 5 +-
include/openssl/x509v3err.h | 4 +-
ssl/bio_ssl.c | 10 +-
ssl/d1_lib.c | 3 +-
ssl/record/rec_layer_s3.c | 8 +-
ssl/record/ssl3_buffer.c | 3 +-
ssl/record/ssl3_record.c | 38 +-
ssl/s3_cbc.c | 4 +-
ssl/s3_lib.c | 14 +-
ssl/s3_msg.c | 4 +-
ssl/ssl_asn1.c | 4 +-
ssl/ssl_cert.c | 40 +-
ssl/ssl_ciph.c | 3 +-
ssl/ssl_err.c | 7 +-
ssl/ssl_lib.c | 61 +-
ssl/ssl_local.h | 4 +-
ssl/statem/README | 2 +-
ssl/statem/extensions.c | 31 +-
ssl/statem/extensions_clnt.c | 5 +-
ssl/statem/extensions_cust.c | 13 +-
ssl/statem/extensions_srvr.c | 9 +-
ssl/statem/statem_clnt.c | 5 +-
ssl/statem/statem_lib.c | 4 +-
ssl/statem/statem_local.h | 4 +-
ssl/statem/statem_srvr.c | 9 +-
ssl/t1_lib.c | 11 +-
test/afalgtest.c | 44 +-
test/asn1_decode_test.c | 28 +-
test/asn1_internal_test.c | 29 +-
test/bio_memleak_test.c | 78 +-
test/bntest.c | 214 ++++-
test/build.info | 4 +-
test/certs/cross-key.pem | 28 +
test/certs/cross-root.pem | 18 +
test/certs/ee-self-signed.pem | 33 +-
test/certs/root-cross-cert.pem | 18 +
test/certs/setup.sh | 2 +
test/clienthellotest.c | 14 +-
test/dane-cross.in | 113 +++
test/danetest.c | 4 +-
test/data.bin | 4 +
test/ec_internal_test.c | 45 +-
test/ectest.c | 54 +-
test/evp_extra_test.c | 849 +++++++++++++++++-
test/evp_test.c | 4 +-
test/packettest.c | 4 +-
test/recipes/01-test_symbol_presence.t | 18 +-
test/recipes/10-test_bn_data/bnmod.txt | 14 +-
test/recipes/15-test_genrsa.t | 9 +-
test/recipes/20-test_dgst.t | 25 +-
test/recipes/25-test_req.t | 29 +-
test/recipes/25-test_verify.t | 3 +-
test/recipes/30-test_evp_data/evpkdf.txt | 8 +-
test/recipes/30-test_evp_data/evppkey.txt | 12 +-
test/recipes/70-test_tls13kexmodes.t | 14 +-
test/recipes/70-test_verify_extra.t | 9 +-
test/recipes/80-test_dane.t | 8 +-
test/recipes/80-test_ssl_old.t | 51 +-
test/rsa_test.c | 9 +-
test/sm2_internal_test.c | 45 +-
test/sslapitest.c | 158 +++-
test/ssltest_old.c | 113 ++-
test/testrsa_withattrs.der | Bin 0 -> 1277 bytes
test/testrsa_withattrs.pem | 29 +
test/testutil/format_output.c | 14 +-
test/testutil/tests.c | 14 +-
test/verify_extra_test.c | 116 ++-
test/x509_time_test.c | 12 +-
util/mkdir-p.pl | 5 +-
209 files changed, 3955 insertions(+), 1015 deletions(-)
create mode 100644 apps/vms_decc_argv.c
create mode 100644 test/certs/cross-key.pem
create mode 100644 test/certs/cross-root.pem
create mode 100644 test/certs/root-cross-cert.pem
create mode 100644 test/dane-cross.in
create mode 100644 test/data.bin
create mode 100644 test/testrsa_withattrs.der
create mode 100644 test/testrsa_withattrs.pem
diff --git a/CHANGES b/CHANGES
index 7d0129e6..3ef3fa28 100644
--- a/CHANGES
+++ b/CHANGES
@@ -7,6 +7,128 @@
https://github.com/openssl/openssl/commits/ and pick the appropriate
release branch.
+ Changes between 1.1.1m and 1.1.1n [15 Mar 2022]
+
+ *) Fixed a bug in the BN_mod_sqrt() function that can cause it to loop forever
+ for non-prime moduli.
+
+ Internally this function is used when parsing certificates that contain
+ elliptic curve public keys in compressed form or explicit elliptic curve
+ parameters with a base point encoded in compressed form.
+
+ It is possible to trigger the infinite loop by crafting a certificate that
+ has invalid explicit curve parameters.
+
+ Since certificate parsing happens prior to verification of the certificate
+ signature, any process that parses an externally supplied certificate may
+ thus be subject to a denial of service attack. The infinite loop can also
+ be reached when parsing crafted private keys as they can contain explicit
+ elliptic curve parameters.
+
+ Thus vulnerable situations include:
+
+ - TLS clients consuming server certificates
+ - TLS servers consuming client certificates
+ - Hosting providers taking certificates or private keys from customers
+ - Certificate authorities parsing certification requests from subscribers
+ - Anything else which parses ASN.1 elliptic curve parameters
+
+ Also any other applications that use the BN_mod_sqrt() where the attacker
+ can control the parameter values are vulnerable to this DoS issue.
+ (CVE-2022-0778)
+ [Tomáš Mráz]
+
+ *) Add ciphersuites based on DHE_PSK (RFC 4279) and ECDHE_PSK (RFC 5489)
+ to the list of ciphersuites providing Perfect Forward Secrecy as
+ required by SECLEVEL >= 3.
+
+ [Dmitry Belyavskiy, Nicola Tuveri]
+
+ Changes between 1.1.1l and 1.1.1m [14 Dec 2021]
+
+ *) Avoid loading of a dynamic engine twice.
+
+ [Bernd Edlinger]
+
+ *) Fixed building on Debian with kfreebsd kernels
+
+ [Mattias Ellert]
+
+ *) Prioritise DANE TLSA issuer certs over peer certs
+
+ [Viktor Dukhovni]
+
+ *) Fixed random API for MacOS prior to 10.12
+
+ These MacOS versions don't support the CommonCrypto APIs
+
+ [Lenny Primak]
+
+ Changes between 1.1.1k and 1.1.1l [24 Aug 2021]
+
+ *) Fixed an SM2 Decryption Buffer Overflow.
+
+ In order to decrypt SM2 encrypted data an application is expected to call the
+ API function EVP_PKEY_decrypt(). Typically an application will call this
+ function twice. The first time, on entry, the "out" parameter can be NULL and,
+ on exit, the "outlen" parameter is populated with the buffer size required to
+ hold the decrypted plaintext. The application can then allocate a sufficiently
+ sized buffer and call EVP_PKEY_decrypt() again, but this time passing a non-NULL
+ value for the "out" parameter.
+
+ A bug in the implementation of the SM2 decryption code means that the
+ calculation of the buffer size required to hold the plaintext returned by the
+ first call to EVP_PKEY_decrypt() can be smaller than the actual size required by
+ the second call. This can lead to a buffer overflow when EVP_PKEY_decrypt() is
+ called by the application a second time with a buffer that is too small.
+
+ A malicious attacker who is able present SM2 content for decryption to an
+ application could cause attacker chosen data to overflow the buffer by up to a
+ maximum of 62 bytes altering the contents of other data held after the
+ buffer, possibly changing application behaviour or causing the application to
+ crash. The location of the buffer is application dependent but is typically
+ heap allocated.
+ (CVE-2021-3711)
+ [Matt Caswell]
+
+ *) Fixed various read buffer overruns processing ASN.1 strings
+
+ ASN.1 strings are represented internally within OpenSSL as an ASN1_STRING
+ structure which contains a buffer holding the string data and a field holding
+ the buffer length. This contrasts with normal C strings which are repesented as
+ a buffer for the string data which is terminated with a NUL (0) byte.
+
+ Although not a strict requirement, ASN.1 strings that are parsed using OpenSSL's
+ own "d2i" functions (and other similar parsing functions) as well as any string
+ whose value has been set with the ASN1_STRING_set() function will additionally
+ NUL terminate the byte array in the ASN1_STRING structure.
+
+ However, it is possible for applications to directly construct valid ASN1_STRING
+ structures which do not NUL terminate the byte array by directly setting the
+ "data" and "length" fields in the ASN1_STRING array. This can also happen by
+ using the ASN1_STRING_set0() function.
+
+ Numerous OpenSSL functions that print ASN.1 data have been found to assume that
+ the ASN1_STRING byte array will be NUL terminated, even though this is not
+ guaranteed for strings that have been directly constructed. Where an application
+ requests an ASN.1 structure to be printed, and where that ASN.1 structure
+ contains ASN1_STRINGs that have been directly constructed by the application
+ without NUL terminating the "data" field, then a read buffer overrun can occur.
+
+ The same thing can also occur during name constraints processing of certificates
+ (for example if a certificate has been directly constructed by the application
+ instead of loading it via the OpenSSL parsing functions, and the certificate
+ contains non NUL terminated ASN1_STRING structures). It can also occur in the
+ X509_get1_email(), X509_REQ_get1_email() and X509_get1_ocsp() functions.
+
+ If a malicious actor can cause an application to directly construct an
+ ASN1_STRING and then process it through one of the affected OpenSSL functions
+ then this issue could be hit. This might result in a crash (causing a Denial of
+ Service attack). It could also result in the disclosure of private memory
+ contents (such as private keys, or sensitive plaintext).
+ (CVE-2021-3712)
+ [Matt Caswell]
+
Changes between 1.1.1j and 1.1.1k [25 Mar 2021]
*) Fixed a problem with verifying a certificate chain when using the
diff --git a/Configurations/10-main.conf b/Configurations/10-main.conf
index 8dc3e858..8ca8235e 100644
--- a/Configurations/10-main.conf
+++ b/Configurations/10-main.conf
@@ -754,6 +754,13 @@ my %targets = (
multilib => "64",
},
+ # riscv64 below refers to contemporary RISCV Architecture
+ # specifications,
+ "linux64-riscv64" => {
+ inherit_from => [ "linux-generic64"],
+ perlasm_scheme => "linux64",
+ },
+
#### IA-32 targets...
#### These two targets are a bit aged and are to be used on older Linux
#### machines where gcc doesn't understand -m32 and -m64
@@ -981,6 +988,13 @@ my %targets = (
perlasm_scheme => "elf",
},
+ # riscv64 below refers to contemporary RISCV Architecture
+ # specifications,
+ "BSD-riscv64" => {
+ inherit_from => [ "BSD-generic64"],
+ perlasm_scheme => "linux64",
+ },
+
"bsdi-elf-gcc" => {
inherit_from => [ "BASE_unix", asm("x86_elf_asm") ],
CC => "gcc",
@@ -1758,7 +1772,7 @@ my %targets = (
disable => add('pinshared'),
- apps_aux_src => "vms_term_sock.c",
+ apps_aux_src => "vms_term_sock.c vms_decc_argv.c",
apps_init_src => "vms_decc_init.c",
},
diff --git a/Configurations/15-android.conf b/Configurations/15-android.conf
index 4616394f..fd5cd3f4 100644
--- a/Configurations/15-android.conf
+++ b/Configurations/15-android.conf
@@ -29,18 +29,18 @@
$ndk = $ENV{$ndk_var};
last if defined $ndk;
}
- die "\$ANDROID_NDK_HOME is not defined" if (!$ndk);
- if (!-d "$ndk/platforms" && !-f "$ndk/AndroidVersion.txt") {
- # $ndk/platforms is traditional "all-inclusive" NDK, while
- # $ndk/AndroidVersion.txt is so-called standalone toolchain
- # tailored for specific target down to API level.
+ die "\$ANDROID_NDK_HOME is not defined" if (!$ndk);
+ my $is_standalone_toolchain = -f "$ndk/AndroidVersion.txt";
+ my $ndk_src_props = "$ndk/source.properties";
+ my $is_ndk = -f $ndk_src_props;
+ if ($is_ndk == $is_standalone_toolchain) {
die "\$ANDROID_NDK_HOME=$ndk is invalid";
}
$ndk = canonpath($ndk);
my $ndkver = undef;
- if (open my $fh, "<$ndk/source.properties") {
+ if (open my $fh, "<$ndk_src_props") {
local $_;
while(<$fh>) {
if (m|Pkg\.Revision\s*=\s*([0-9]+)|) {
@@ -59,7 +59,7 @@
if ($sysroot = $ENV{CROSS_SYSROOT}) {
$sysroot =~ m|/android-([0-9]+)/arch-(\w+)/?$|;
($api, $arch) = ($1, $2);
- } elsif (-f "$ndk/AndroidVersion.txt") {
+ } elsif ($is_standalone_toolchain) {
$sysroot = "$ndk/sysroot";
} else {
$api = "*";
@@ -72,17 +72,31 @@
}
}
- # list available platforms (numerically)
- my @platforms = sort { $a =~ m/-([0-9]+)$/; my $aa = $1;
- $b =~ m/-([0-9]+)$/; $aa <=> $1;
- } glob("$ndk/platforms/android-$api");
- die "no $ndk/platforms/android-$api" if ($#platforms < 0);
+ if (-d "$ndk/platforms") {
+ # list available platforms (numerically)
+ my @platforms = sort { $a =~ m/-([0-9]+)$/; my $aa = $1;
+ $b =~ m/-([0-9]+)$/; $aa <=> $1;
+ } glob("$ndk/platforms/android-$api");
+ die "no $ndk/platforms/android-$api" if ($#platforms < 0);
- $sysroot = "@platforms[$#platforms]/arch-$arch";
- $sysroot =~ m|/android-([0-9]+)/arch-$arch|;
- $api = $1;
+ $sysroot = "@platforms[$#platforms]/arch-$arch";
+ $sysroot =~ m|/android-([0-9]+)/arch-$arch|;
+ $api = $1;
+ } elsif ($api eq "*") {
+ # r22 Removed platforms dir, use this JSON file
+ my $path = "$ndk/meta/platforms.json";
+ open my $fh, $path or die "Could not open '$path' $!";
+ while (<$fh>) {
+ if (/"max": (\d+),/) {
+ $api = $1;
+ last;
+ }
+ }
+ close $fh;
+ }
+ die "Could not get default API Level" if ($api eq "*");
}
- die "no sysroot=$sysroot" if (!-d $sysroot);
+ die "no sysroot=$sysroot" if (length $sysroot && !-d $sysroot);
my $triarch = $triplet{$arch};
my $cflags;
@@ -95,17 +109,21 @@
my $arm = $ndkver > 16 ? "armv7a" : "armv5te";
(my $tridefault = $triarch) =~ s/^arm-/$arm-/;
(my $tritools = $triarch) =~ s/(?:x|i6)86(_64)?-.*/x86$1/;
- $cflags .= " -target $tridefault "
- . "-gcc-toolchain \$($ndk_var)/toolchains"
- . "/$tritools-4.9/prebuilt/$host";
- $user{CC} = "clang" if ($user{CC} !~ m|clang|);
+ if (length $sysroot) {
+ $cflags .= " -target $tridefault "
+ . "-gcc-toolchain \$($ndk_var)/toolchains"
+ . "/$tritools-4.9/prebuilt/$host";
+ $user{CC} = "clang" if ($user{CC} !~ m|clang|);
+ } else {
+ $user{CC} = "$tridefault$api-clang";
+ }
$user{CROSS_COMPILE} = undef;
if (which("llvm-ar") =~ m|^$ndk/.*/prebuilt/([^/]+)/|) {
$user{AR} = "llvm-ar";
$user{ARFLAGS} = [ "rs" ];
$user{RANLIB} = ":";
}
- } elsif (-f "$ndk/AndroidVersion.txt") { #"standalone toolchain"
+ } elsif ($is_standalone_toolchain) {
my $cc = $user{CC} // "clang";
# One can probably argue that both clang and gcc should be
# probed, but support for "standalone toolchain" was added
@@ -127,19 +145,21 @@
$user{CROSS_COMPILE} = "$triarch-";
}
- if (!-d "$sysroot/usr/include") {
- my $incroot = "$ndk/sysroot/usr/include";
- die "no $incroot" if (!-d $incroot);
- die "no $incroot/$triarch" if (!-d "$incroot/$triarch");
- $incroot =~ s|^$ndk/||;
- $cppflags = "-D__ANDROID_API__=$api";
- $cppflags .= " -isystem \$($ndk_var)/$incroot/$triarch";
- $cppflags .= " -isystem \$($ndk_var)/$incroot";
+ if (length $sysroot) {
+ if (!-d "$sysroot/usr/include") {
+ my $incroot = "$ndk/sysroot/usr/include";
+ die "no $incroot" if (!-d $incroot);
+ die "no $incroot/$triarch" if (!-d "$incroot/$triarch");
+ $incroot =~ s|^$ndk/||;
+ $cppflags = "-D__ANDROID_API__=$api";
+ $cppflags .= " -isystem \$($ndk_var)/$incroot/$triarch";
+ $cppflags .= " -isystem \$($ndk_var)/$incroot";
+ }
+ $sysroot =~ s|^$ndk/||;
+ $sysroot = " --sysroot=\$($ndk_var)/$sysroot";
}
-
- $sysroot =~ s|^$ndk/||;
$android_ndk = {
- cflags => "$cflags --sysroot=\$($ndk_var)/$sysroot",
+ cflags => $cflags . $sysroot,
cppflags => $cppflags,
bn_ops => $arch =~ m/64$/ ? "SIXTY_FOUR_BIT_LONG"
: "BN_LLONG",
diff --git a/Configurations/descrip.mms.tmpl b/Configurations/descrip.mms.tmpl
index 04c93222..e1aecfaf 100644
--- a/Configurations/descrip.mms.tmpl
+++ b/Configurations/descrip.mms.tmpl
@@ -438,7 +438,8 @@ test : tests
DEFINE SRCTOP {- sourcedir() -}
DEFINE BLDTOP {- builddir() -}
DEFINE RESULT_D {- builddir(qw(test test-runs)) -}
- DEFINE OPENSSL_ENGINES {- builddir("engines") -}
+ engines = F$PARSE("{- builddir("engines") -}","A.;",,,"syntax_only") - "A.;"
+ DEFINE OPENSSL_ENGINES 'engines'
DEFINE OPENSSL_DEBUG_MEMORY "on"
IF "$(VERBOSE)" .NES. "" THEN DEFINE VERBOSE "$(VERBOSE)"
$(PERL) {- sourcefile("test", "run_tests.pl") -} $(TESTS)
diff --git a/Configurations/unix-Makefile.tmpl b/Configurations/unix-Makefile.tmpl
index 41648c95..66617d6f 100644
--- a/Configurations/unix-Makefile.tmpl
+++ b/Configurations/unix-Makefile.tmpl
@@ -523,7 +523,6 @@ clean: libclean
$(RM) -r test/test-runs
$(RM) openssl.pc libcrypto.pc libssl.pc
-$(RM) `find . -type l \! -name '.*' -print`
- $(RM) $(TARFILE)
distclean: clean
$(RM) configdata.pm
diff --git a/Configurations/windows-makefile.tmpl b/Configurations/windows-makefile.tmpl
index 9351149f..13716e06 100644
--- a/Configurations/windows-makefile.tmpl
+++ b/Configurations/windows-makefile.tmpl
@@ -324,15 +324,15 @@ build_apps build_tests: build_programs
# Convenience target to prebuild all generated files, not just the mandatory
# ones
build_all_generated: $(GENERATED_MANDATORY) $(GENERATED)
- @{- output_off() if $disabled{makedepend}; "" -}
+ @{- output_off() if $disabled{makedepend}; "\@rem" -}
@$(ECHO) "Warning: consider configuring with no-makedepend, because if"
@$(ECHO) " target system doesn't have $(PERL),"
@$(ECHO) " then make will fail..."
- @{- output_on() if $disabled{makedepend}; "" -}
+ @{- output_on() if $disabled{makedepend}; "\@rem" -}
test: tests
{- dependmagic('tests'); -}: build_programs_nodep build_engines_nodep
- @{- output_off() if $disabled{tests}; "" -}
+ @{- output_off() if $disabled{tests}; "\@rem" -}
-mkdir $(BLDDIR)\test\test-runs
set SRCTOP=$(SRCDIR)
set BLDTOP=$(BLDDIR)
@@ -341,17 +341,17 @@ test: tests
set OPENSSL_ENGINES=$(MAKEDIR)\engines
set OPENSSL_DEBUG_MEMORY=on
"$(PERL)" "$(SRCDIR)\test\run_tests.pl" $(TESTS)
- @{- if ($disabled{tests}) { output_on(); } else { output_off(); } "" -}
+ @{- if ($disabled{tests}) { output_on(); } else { output_off(); } "\@rem" -}
@$(ECHO) "Tests are not supported with your chosen Configure options"
- @{- output_on() if !$disabled{tests}; "" -}
+ @{- output_on() if !$disabled{tests}; "\@rem" -}
list-tests:
- @{- output_off() if $disabled{tests}; "" -}
+ @{- output_off() if $disabled{tests}; "\@rem" -}
@set SRCTOP=$(SRCDIR)
@"$(PERL)" "$(SRCDIR)\test\run_tests.pl" list
- @{- if ($disabled{tests}) { output_on(); } else { output_off(); } "" -}
+ @{- if ($disabled{tests}) { output_on(); } else { output_off(); } "\@rem" -}
@$(ECHO) "Tests are not supported with your chosen Configure options"
- @{- output_on() if !$disabled{tests}; "" -}
+ @{- output_on() if !$disabled{tests}; "\@rem" -}
install: install_sw install_ssldirs install_docs
@@ -362,7 +362,7 @@ libclean:
-del /Q /F $(LIBS) libcrypto.* libssl.* ossl_static.pdb
clean: libclean
- {- join("\n\t", map { "-del /Q /F $_" } @PROGRAMS) -}
+ {- join("\n\t", map { "-del /Q /F $_" } @PROGRAMS) || "\@rem" -}
-del /Q /F $(ENGINES)
-del /Q /F $(SCRIPTS)
-del /Q /F $(GENERATED_MANDATORY)
@@ -378,9 +378,9 @@ distclean: clean
-del /Q /F makefile
depend:
- @ {- output_off() if $disabled{makedepend}; "" -}
+ @ {- output_off() if $disabled{makedepend}; "\@rem" -}
@ "$(PERL)" "$(SRCDIR)\util\add-depends.pl" "VC"
- @ {- output_on() if $disabled{makedepend}; "" -}
+ @ {- output_on() if $disabled{makedepend}; "\@rem" -}
# Install helper targets #############################################
@@ -413,10 +413,10 @@ install_dev: install_runtime_libs
@if "$(INSTALLTOP)"=="" ( $(ECHO) "INSTALLTOP should not be empty" & exit 1 )
@$(ECHO) "*** Installing development files"
@"$(PERL)" "$(SRCDIR)\util\mkdir-p.pl" "$(INSTALLTOP)\include\openssl"
- @{- output_off() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "" -}
+ @{- output_off() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "\@rem" -}
@"$(PERL)" "$(SRCDIR)\util\copy.pl" "$(SRCDIR)\ms\applink.c" \
"$(INSTALLTOP)\include\openssl"
- @{- output_on() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "" -}
+ @{- output_on() unless grep { $_ eq "OPENSSL_USE_APPLINK" } (@{$target{defines}}, @{$config{defines}}); "\@rem" -}
@"$(PERL)" "$(SRCDIR)\util\copy.pl" "-exclude_re=/__DECC_" \
"$(SRCDIR)\include\openssl\*.h" \
"$(INSTALLTOP)\include\openssl"
diff --git a/Configure b/Configure
index b286dd06..4bea49d7 100755
--- a/Configure
+++ b/Configure
@@ -1304,16 +1304,19 @@ if ($disabled{"dynamic-engine"}) {
unless ($disabled{asan}) {
push @{$config{cflags}}, "-fsanitize=address";
+ push @{$config{cxxflags}}, "-fsanitize=address" if $config{CXX};
}
unless ($disabled{ubsan}) {
# -DPEDANTIC or -fnosanitize=alignment may also be required on some
# platforms.
push @{$config{cflags}}, "-fsanitize=undefined", "-fno-sanitize-recover=all";
+ push @{$config{cxxflags}}, "-fsanitize=undefined", "-fno-sanitize-recover=all" if $config{CXX};
}
unless ($disabled{msan}) {
push @{$config{cflags}}, "-fsanitize=memory";
+ push @{$config{cxxflags}}, "-fsanitize=memory" if $config{CXX};
}
unless ($disabled{"fuzz-libfuzzer"} && $disabled{"fuzz-afl"}
@@ -3158,25 +3161,25 @@ sub resolve_config {
}
}
- foreach (sort keys %all_keys) {
- my $previous = $combined_inheritance{$_};
+ foreach my $key (sort keys %all_keys) {
+ my $previous = $combined_inheritance{$key};
# Current target doesn't have a value for the current key?
# Assign it the default combiner, the rest of this loop body
# will handle it just like any other coderef.
- if (!exists $table{$target}->{$_}) {
- $table{$target}->{$_} = $default_combiner;
+ if (!exists $table{$target}->{$key}) {
+ $table{$target}->{$key} = $default_combiner;
}
- $table{$target}->{$_} = process_values($table{$target}->{$_},
- $combined_inheritance{$_},
- $target, $_);
- unless(defined($table{$target}->{$_})) {
- delete $table{$target}->{$_};
+ $table{$target}->{$key} = process_values($table{$target}->{$key},
+ $combined_inheritance{$key},
+ $target, $key);
+ unless(defined($table{$target}->{$key})) {
+ delete $table{$target}->{$key};
}
# if ($extra_checks &&
-# $previous && !($add_called || $previous ~~ $table{$target}->{$_})) {
-# warn "$_ got replaced in $target\n";
+# $previous && !($add_called || $previous ~~ $table{$target}->{$key})) {
+# warn "$key got replaced in $target\n";
# }
}
diff --git a/NEWS b/NEWS
index 05991a0c..f4ac2628 100644
--- a/NEWS
+++ b/NEWS
@@ -5,6 +5,20 @@
This file gives a brief overview of the major changes between each OpenSSL
release. For more details please read the CHANGES file.
+ Major changes between OpenSSL 1.1.1m and OpenSSL 1.1.1n [15 Mar 2022]
+
+ o Fixed a bug in the BN_mod_sqrt() function that can cause it to loop
+ forever for non-prime moduli ([CVE-2022-0778])
+
+ Major changes between OpenSSL 1.1.1l and OpenSSL 1.1.1m [14 Dec 2021]
+
+ o None
+
+ Major changes between OpenSSL 1.1.1k and OpenSSL 1.1.1l [24 Aug 2021]
+
+ o Fixed an SM2 Decryption Buffer Overflow (CVE-2021-3711)
+ o Fixed various read buffer overruns processing ASN.1 strings (CVE-2021-3712)
+
Major changes between OpenSSL 1.1.1j and OpenSSL 1.1.1k [25 Mar 2021]
o Fixed a problem with verifying a certificate chain when using the
diff --git a/README b/README
index b92a8bd3..3e100933 100644
--- a/README
+++ b/README
@@ -1,5 +1,5 @@
- OpenSSL 1.1.1k 25 Mar 2021
+ OpenSSL 1.1.1n 15 Mar 2022
Copyright (c) 1998-2021 The OpenSSL Project
Copyright (c) 1995-1998 Eric A. Young, Tim J. Hudson
diff --git a/apps/apps.c b/apps/apps.c
index c06241ab..1a922715 100644
--- a/apps/apps.c
+++ b/apps/apps.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -300,9 +300,13 @@ int password_callback(char *buf, int bufsiz, int verify, PW_CB_DATA *cb_tmp)
int ui_flags = 0;
const char *prompt_info = NULL;
char *prompt;
+ int pw_min_len = PW_MIN_LENGTH;
if (cb_data != NULL && cb_data->prompt_info != NULL)
prompt_info = cb_data->prompt_info;
+ if (cb_data != NULL && cb_data->password != NULL
+ && *(const char*)cb_data->password != '\0')
+ pw_min_len = 1;
prompt = UI_construct_prompt(ui, "pass phrase", prompt_info);
if (!prompt) {
BIO_printf(bio_err, "Out of memory\n");
@@ -317,12 +321,12 @@ int password_callback(char *buf, int bufsiz, int verify, PW_CB_DATA *cb_tmp)
(void)UI_add_user_data(ui, cb_data);
ok = UI_add_input_string(ui, prompt, ui_flags, buf,
- PW_MIN_LENGTH, bufsiz - 1);
+ pw_min_len, bufsiz - 1);
if (ok >= 0 && verify) {
buff = app_malloc(bufsiz, "password buffer");
ok = UI_add_verify_string(ui, prompt, ui_flags, buff,
- PW_MIN_LENGTH, bufsiz - 1, buf);
+ pw_min_len, bufsiz - 1, buf);
}
if (ok >= 0)
do {
diff --git a/apps/ciphers.c b/apps/ciphers.c
index 0bb33a4a..aade3fbf 100644
--- a/apps/ciphers.c
+++ b/apps/ciphers.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -172,6 +172,7 @@ int ciphers_main(int argc, char **argv)
if (convert != NULL) {
BIO_printf(bio_out, "OpenSSL cipher name: %s\n",
OPENSSL_cipher_name(convert));
+ ret = 0;
goto end;
}
diff --git a/apps/crl2p7.c b/apps/crl2p7.c
index 88fabcb2..3f619bf5 100644
--- a/apps/crl2p7.c
+++ b/apps/crl2p7.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -120,19 +120,20 @@ int crl2pkcs7_main(int argc, char **argv)
if (!ASN1_INTEGER_set(p7s->version, 1))
goto end;
- if ((crl_stack = sk_X509_CRL_new_null()) == NULL)
- goto end;
- p7s->crl = crl_stack;
+
if (crl != NULL) {
+ if ((crl_stack = sk_X509_CRL_new_null()) == NULL)
+ goto end;
+ p7s->crl = crl_stack;
sk_X509_CRL_push(crl_stack, crl);
crl = NULL; /* now part of p7 for OPENSSL_freeing */
}
- if ((cert_stack = sk_X509_new_null()) == NULL)
- goto end;
- p7s->cert = cert_stack;
+ if (certflst != NULL) {
+ if ((cert_stack = sk_X509_new_null()) == NULL)
+ goto end;
+ p7s->cert = cert_stack;
- if (certflst != NULL)
for (i = 0; i < sk_OPENSSL_STRING_num(certflst); i++) {
certfile = sk_OPENSSL_STRING_value(certflst, i);
if (add_certs_from_file(cert_stack, certfile) < 0) {
@@ -141,6 +142,7 @@ int crl2pkcs7_main(int argc, char **argv)
goto end;
}
}
+ }
out = bio_open_default(outfile, 'w', outformat);
if (out == NULL)
diff --git a/apps/dgst.c b/apps/dgst.c
index e595f7d8..f9b184be 100644
--- a/apps/dgst.c
+++ b/apps/dgst.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -316,7 +316,7 @@ int dgst_main(int argc, char **argv)
EVP_MD_CTX *mctx = NULL;
EVP_PKEY_CTX *pctx = NULL;
int r;
- if (!BIO_get_md_ctx(bmd, &mctx)) {
+ if (BIO_get_md_ctx(bmd, &mctx) <= 0) {
BIO_printf(bio_err, "Error getting context\n");
ERR_print_errors(bio_err);
goto end;
@@ -345,7 +345,7 @@ int dgst_main(int argc, char **argv)
/* we use md as a filter, reading from 'in' */
else {
EVP_MD_CTX *mctx = NULL;
- if (!BIO_get_md_ctx(bmd, &mctx)) {
+ if (BIO_get_md_ctx(bmd, &mctx) <= 0) {
BIO_printf(bio_err, "Error getting context\n");
ERR_print_errors(bio_err);
goto end;
diff --git a/apps/enc.c b/apps/enc.c
index ddf51e0d..65710771 100644
--- a/apps/enc.c
+++ b/apps/enc.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -81,7 +81,7 @@ const OPTIONS enc_options[] = {
{"", OPT_CIPHER, '-', "Any supported cipher"},
OPT_R_OPTIONS,
#ifdef ZLIB
- {"z", OPT_Z, '-', "Use zlib as the 'encryption'"},
+ {"z", OPT_Z, '-', "Compress or decompress encrypted data using zlib"},
#endif
#ifndef OPENSSL_NO_ENGINE
{"engine", OPT_ENGINE, 's', "Use engine, possibly a hardware device"},
diff --git a/apps/openssl.c b/apps/openssl.c
index ff7b759a..f35d57f2 100644
--- a/apps/openssl.c
+++ b/apps/openssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -120,7 +120,6 @@ int main(int argc, char *argv[])
{
FUNCTION f, *fp;
LHASH_OF(FUNCTION) *prog = NULL;
- char **copied_argv = NULL;
char *p, *pname;
char buf[1024];
const char *prompt;
@@ -137,7 +136,7 @@ int main(int argc, char *argv[])
bio_err = dup_bio_err(FORMAT_TEXT);
#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
- copied_argv = argv = copy_argv(&argc, argv);
+ argv = copy_argv(&argc, argv);
#elif defined(_WIN32)
/*
* Replace argv[] with UTF-8 encoded strings.
@@ -258,7 +257,6 @@ int main(int argc, char *argv[])
}
ret = 1;
end:
- OPENSSL_free(copied_argv);
OPENSSL_free(default_config_file);
lh_FUNCTION_free(prog);
OPENSSL_free(arg.argv);
diff --git a/apps/passwd.c b/apps/passwd.c
index d741d053..af08ccd4 100644
--- a/apps/passwd.c
+++ b/apps/passwd.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -407,7 +407,7 @@ static char *md5crypt(const char *passwd, const char *magic, const char *salt)
n >>= 1;
}
if (!EVP_DigestFinal_ex(md, buf, NULL))
- return NULL;
+ goto err;
for (i = 0; i < 1000; i++) {
if (!EVP_DigestInit_ex(md2, EVP_md5(), NULL))
@@ -633,7 +633,7 @@ static char *shacrypt(const char *passwd, const char *magic, const char *salt)
n >>= 1;
}
if (!EVP_DigestFinal_ex(md, buf, NULL))
- return NULL;
+ goto err;
/* P sequence */
if (!EVP_DigestInit_ex(md2, sha, NULL))
@@ -644,7 +644,7 @@ static char *shacrypt(const char *passwd, const char *magic, const char *salt)
goto err;
if (!EVP_DigestFinal_ex(md2, temp_buf, NULL))
- return NULL;
+ goto err;
if ((p_bytes = OPENSSL_zalloc(passwd_len)) == NULL)
goto err;
@@ -661,7 +661,7 @@ static char *shacrypt(const char *passwd, const char *magic, const char *salt)
goto err;
if (!EVP_DigestFinal_ex(md2, temp_buf, NULL))
- return NULL;
+ goto err;
if ((s_bytes = OPENSSL_zalloc(salt_len)) == NULL)
goto err;
diff --git a/apps/s_cb.c b/apps/s_cb.c
index dee1b2e5..d066a423 100644
--- a/apps/s_cb.c
+++ b/apps/s_cb.c
@@ -819,7 +819,9 @@ int generate_stateless_cookie_callback(SSL *ssl, unsigned char *cookie,
{
unsigned int temp;
int res = generate_cookie_callback(ssl, cookie, &temp);
- *cookie_len = temp;
+
+ if (res != 0)
+ *cookie_len = temp;
return res;
}
diff --git a/apps/s_client.c b/apps/s_client.c
index 83b3fc9c..00effc80 100644
--- a/apps/s_client.c
+++ b/apps/s_client.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2005 Nokia. All rights reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -938,6 +938,7 @@ int s_client_main(int argc, char **argv)
struct timeval tv;
#endif
const char *servername = NULL;
+ char *sname_alloc = NULL;
int noservername = 0;
const char *alpn_in = NULL;
tlsextctx tlsextcbp = { NULL, 0 };
@@ -1588,6 +1589,15 @@ int s_client_main(int argc, char **argv)
"%s: -proxy argument malformed or ambiguous\n", prog);
goto end;
}
+ if (servername == NULL && !noservername) {
+ res = BIO_parse_hostserv(connectstr, &sname_alloc, NULL, BIO_PARSE_PRIO_HOST);
+ if (!res) {
+ BIO_printf(bio_err,
+ "%s: -connect argument malformed or ambiguous\n", prog);
+ goto end;
+ }
+ servername = sname_alloc;
+ }
} else {
int res = 1;
char *tmp_host = host, *tmp_port = port;
@@ -3149,8 +3159,11 @@ int s_client_main(int argc, char **argv)
#ifndef OPENSSL_NO_SRP
OPENSSL_free(srp_arg.srppassin);
#endif
+ OPENSSL_free(sname_alloc);
OPENSSL_free(connectstr);
OPENSSL_free(bindstr);
+ OPENSSL_free(bindhost);
+ OPENSSL_free(bindport);
OPENSSL_free(host);
OPENSSL_free(port);
X509_VERIFY_PARAM_free(vpm);
diff --git a/apps/s_server.c b/apps/s_server.c
index 0ba75999..64d53e68 100644
--- a/apps/s_server.c
+++ b/apps/s_server.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -133,6 +133,17 @@ static unsigned int psk_server_cb(SSL *ssl, const char *identity,
if (s_debug)
BIO_printf(bio_s_out, "psk_server_cb\n");
+
+ if (!SSL_is_dtls(ssl) && SSL_version(ssl) >= TLS1_3_VERSION) {
+ /*
+ * This callback is designed for use in (D)TLSv1.2 (or below). It is
+ * possible to use a single callback for all protocol versions - but it
+ * is preferred to use a dedicated callback for TLSv1.3. For TLSv1.3 we
+ * have psk_find_session_cb.
+ */
+ return 0;
+ }
+
if (identity == NULL) {
BIO_printf(bio_err, "Error: client did not send PSK identity\n");
goto out_err;
diff --git a/apps/s_socket.c b/apps/s_socket.c
index 76f92890..96f16d29 100644
--- a/apps/s_socket.c
+++ b/apps/s_socket.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -147,7 +147,7 @@ int init_client(int *sock, const char *host, const char *port,
#endif
if (!BIO_connect(*sock, BIO_ADDRINFO_address(ai),
- protocol == IPPROTO_TCP ? BIO_SOCK_NODELAY : 0)) {
+ BIO_ADDRINFO_protocol(ai) == IPPROTO_TCP ? BIO_SOCK_NODELAY : 0)) {
BIO_closesocket(*sock);
*sock = INVALID_SOCKET;
continue;
@@ -214,6 +214,8 @@ int do_server(int *accept_sock, const char *host, const char *port,
const BIO_ADDRINFO *next;
int sock_family, sock_type, sock_protocol, sock_port;
const BIO_ADDR *sock_address;
+ int sock_family_fallback = AF_UNSPEC;
+ const BIO_ADDR *sock_address_fallback = NULL;
int sock_options = BIO_SOCK_REUSEADDR;
int ret = 0;
@@ -244,6 +246,10 @@ int do_server(int *accept_sock, const char *host, const char *port,
&& BIO_ADDRINFO_protocol(next) == sock_protocol) {
if (sock_family == AF_INET
&& BIO_ADDRINFO_family(next) == AF_INET6) {
+ /* In case AF_INET6 is returned but not supported by the
+ * kernel, retry with the first detected address family */
+ sock_family_fallback = sock_family;
+ sock_address_fallback = sock_address;
sock_family = AF_INET6;
sock_address = BIO_ADDRINFO_address(next);
} else if (sock_family == AF_INET6
@@ -253,6 +259,10 @@ int do_server(int *accept_sock, const char *host, const char *port,
}
asock = BIO_socket(sock_family, sock_type, sock_protocol, 0);
+ if (asock == INVALID_SOCKET && sock_family_fallback != AF_UNSPEC) {
+ asock = BIO_socket(sock_family_fallback, sock_type, sock_protocol, 0);
+ sock_address = sock_address_fallback;
+ }
if (asock == INVALID_SOCKET
|| !BIO_listen(asock, sock_address, sock_options)) {
BIO_ADDRINFO_free(res);
diff --git a/apps/speed.c b/apps/speed.c
index d4ae7ab7..89bf1848 100644
--- a/apps/speed.c
+++ b/apps/speed.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -1590,6 +1590,10 @@ int speed_main(int argc, char **argv)
case OPT_MULTI:
#ifndef NO_FORK
multi = atoi(opt_arg());
+ if (multi >= INT_MAX / (int)sizeof(int)) {
+ BIO_printf(bio_err, "%s: multi argument too large\n", prog);
+ return 0;
+ }
#endif
break;
case OPT_ASYNCJOBS:
@@ -3490,7 +3494,7 @@ static int do_multi(int multi, int size_num)
close(fd[1]);
mr = 1;
usertime = 0;
- free(fds);
+ OPENSSL_free(fds);
return 0;
}
printf("Forked child %d\n", n);
@@ -3603,7 +3607,7 @@ static int do_multi(int multi, int size_num)
fclose(f);
}
- free(fds);
+ OPENSSL_free(fds);
return 1;
}
#endif
diff --git a/apps/vms_decc_argv.c b/apps/vms_decc_argv.c
new file mode 100644
index 00000000..1771246a
--- /dev/null
+++ b/apps/vms_decc_argv.c
@@ -0,0 +1,66 @@
+/*
+ * Copyright 2015-2022 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the Apache License 2.0 (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+#include <stdlib.h>
+#include <openssl/crypto.h>
+#include "apps.h" /* for app_malloc() and copy_argv() */
+
+char **newargv = NULL;
+
+static void cleanup_argv(void)
+{
+ OPENSSL_free(newargv);
+ newargv = NULL;
+}
+
+char **copy_argv(int *argc, char *argv[])
+{
+ /*-
+ * The note below is for historical purpose. On VMS now we always
+ * copy argv "safely."
+ *
+ * 2011-03-22 SMS.
+ * If we have 32-bit pointers everywhere, then we're safe, and
+ * we bypass this mess, as on non-VMS systems.
+ * Problem 1: Compaq/HP C before V7.3 always used 32-bit
+ * pointers for argv[].
+ * Fix 1: For a 32-bit argv[], when we're using 64-bit pointers
+ * everywhere else, we always allocate and use a 64-bit
+ * duplicate of argv[].
+ * Problem 2: Compaq/HP C V7.3 (Alpha, IA64) before ECO1 failed
+ * to NULL-terminate a 64-bit argv[]. (As this was written, the
+ * compiler ECO was available only on IA64.)
+ * Fix 2: Unless advised not to (VMS_TRUST_ARGV), we test a
+ * 64-bit argv[argc] for NULL, and, if necessary, use a
+ * (properly) NULL-terminated (64-bit) duplicate of argv[].
+ * The same code is used in either case to duplicate argv[].
+ * Some of these decisions could be handled in preprocessing,
+ * but the code tends to get even uglier, and the penalty for
+ * deciding at compile- or run-time is tiny.
+ */
+
+ int i, count = *argc;
+ char **p = newargv;
+
+ cleanup_argv();
+
+ newargv = app_malloc(sizeof(*newargv) * (count + 1), "argv copy");
+ if (newargv == NULL)
+ return NULL;
+
+ /* Register automatic cleanup on first use */
+ if (p == NULL)
+ OPENSSL_atexit(cleanup_argv);
+
+ for (i = 0; i < count; i++)
+ newargv[i] = argv[i];
+ newargv[i] = NULL;
+ *argc = i;
+ return newargv;
+}
diff --git a/apps/vms_decc_init.c b/apps/vms_decc_init.c
index f83f7168..a2dc268c 100644
--- a/apps/vms_decc_init.c
+++ b/apps/vms_decc_init.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2010-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2010-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -25,8 +25,6 @@
# include <stdlib.h>
# include <unixlib.h>
-# include "apps.h"
-
/* Global storage. */
/* Flag to sense if decc_init() was called. */
@@ -63,42 +61,6 @@ decc_feat_t decc_feat_array[] = {
};
-char **copy_argv(int *argc, char *argv[])
-{
- /*-
- * The note below is for historical purpose. On VMS now we always
- * copy argv "safely."
- *
- * 2011-03-22 SMS.
- * If we have 32-bit pointers everywhere, then we're safe, and
- * we bypass this mess, as on non-VMS systems.
- * Problem 1: Compaq/HP C before V7.3 always used 32-bit
- * pointers for argv[].
- * Fix 1: For a 32-bit argv[], when we're using 64-bit pointers
- * everywhere else, we always allocate and use a 64-bit
- * duplicate of argv[].
- * Problem 2: Compaq/HP C V7.3 (Alpha, IA64) before ECO1 failed
- * to NULL-terminate a 64-bit argv[]. (As this was written, the
- * compiler ECO was available only on IA64.)
- * Fix 2: Unless advised not to (VMS_TRUST_ARGV), we test a
- * 64-bit argv[argc] for NULL, and, if necessary, use a
- * (properly) NULL-terminated (64-bit) duplicate of argv[].
- * The same code is used in either case to duplicate argv[].
- * Some of these decisions could be handled in preprocessing,
- * but the code tends to get even uglier, and the penalty for
- * deciding at compile- or run-time is tiny.
- */
-
- int i, count = *argc;
- char **newargv = app_malloc(sizeof(*newargv) * (count + 1), "argv copy");
-
- for (i = 0; i < count; i++)
- newargv[i] = argv[i];
- newargv[i] = NULL;
- *argc = i;
- return newargv;
-}
-
/* LIB$INITIALIZE initialization function. */
static void decc_init(void)
diff --git a/config b/config
index 26225ca2..49422981 100755
--- a/config
+++ b/config
@@ -704,6 +704,7 @@ case "$GUESSOS" in
__CNF_CPPFLAGS="$__CNF_CPPFLAGS -DL_ENDIAN" ;;
powerpc64-*-*bsd*) OUT="BSD-generic64";
__CNF_CPPFLAGS="$__CNF_CPPFLAGS -DB_ENDIAN" ;;
+ riscv64-*-*bsd*) OUT="BSD-riscv64" ;;
sparc64-*-*bsd*) OUT="BSD-sparc64" ;;
ia64-*-*bsd*) OUT="BSD-ia64" ;;
x86_64-*-dragonfly*) OUT="BSD-x86_64" ;;
diff --git a/crypto/armcap.c b/crypto/armcap.c
index 8bf96f10..48c5d4d6 100644
--- a/crypto/armcap.c
+++ b/crypto/armcap.c
@@ -68,6 +68,12 @@ void OPENSSL_cpuid_setup(void) __attribute__ ((constructor));
# include <sys/auxv.h>
# define OSSL_IMPLEMENT_GETAUXVAL
# endif
+# elif defined(__ANDROID_API__)
+/* see https://developer.android.google.cn/ndk/guides/cpu-features */
+# if __ANDROID_API__ >= 18
+# include <sys/auxv.h>
+# define OSSL_IMPLEMENT_GETAUXVAL
+# endif
# endif
# if defined(__FreeBSD__)
# include <sys/param.h>
@@ -87,24 +93,36 @@ static unsigned long getauxval(unsigned long key)
# endif
# endif
+/*
+ * Android: according to https://developer.android.com/ndk/guides/cpu-features,
+ * getauxval is supported starting with API level 18
+ */
+# if defined(__ANDROID__) && defined(__ANDROID_API__) && __ANDROID_API__ >= 18
+# include <sys/auxv.h>
+# define OSSL_IMPLEMENT_GETAUXVAL
+# endif
+
/*
* ARM puts the feature bits for Crypto Extensions in AT_HWCAP2, whereas
* AArch64 used AT_HWCAP.
*/
+# ifndef AT_HWCAP
+# define AT_HWCAP 16
+# endif
+# ifndef AT_HWCAP2
+# define AT_HWCAP2 26
+# endif
# if defined(__arm__) || defined (__arm)
-# define HWCAP 16
- /* AT_HWCAP */
+# define HWCAP AT_HWCAP
# define HWCAP_NEON (1 << 12)
-# define HWCAP_CE 26
- /* AT_HWCAP2 */
+# define HWCAP_CE AT_HWCAP2
# define HWCAP_CE_AES (1 << 0)
# define HWCAP_CE_PMULL (1 << 1)
# define HWCAP_CE_SHA1 (1 << 2)
# define HWCAP_CE_SHA256 (1 << 3)
# elif defined(__aarch64__)
-# define HWCAP 16
- /* AT_HWCAP */
+# define HWCAP AT_HWCAP
# define HWCAP_NEON (1 << 1)
# define HWCAP_CE HWCAP
diff --git a/crypto/asn1/a_object.c b/crypto/asn1/a_object.c
index d67a723c..8ade9e50 100644
--- a/crypto/asn1/a_object.c
+++ b/crypto/asn1/a_object.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -286,16 +286,13 @@ ASN1_OBJECT *c2i_ASN1_OBJECT(ASN1_OBJECT **a, const unsigned char **pp,
}
}
- /*
- * only the ASN1_OBJECTs from the 'table' will have values for ->sn or
- * ->ln
- */
if ((a == NULL) || ((*a) == NULL) ||
!((*a)->flags & ASN1_OBJECT_FLAG_DYNAMIC)) {
if ((ret = ASN1_OBJECT_new()) == NULL)
return NULL;
- } else
+ } else {
ret = (*a);
+ }
p = *pp;
/* detach data from object */
@@ -313,6 +310,12 @@ ASN1_OBJECT *c2i_ASN1_OBJECT(ASN1_OBJECT **a, const unsigned char **pp,
ret->flags |= ASN1_OBJECT_FLAG_DYNAMIC_DATA;
}
memcpy(data, p, length);
+ /* If there are dynamic strings, free them here, and clear the flag */
+ if ((ret->flags & ASN1_OBJECT_FLAG_DYNAMIC_STRINGS) != 0) {
+ OPENSSL_free((char *)ret->sn);
+ OPENSSL_free((char *)ret->ln);
+ ret->flags &= ~ASN1_OBJECT_FLAG_DYNAMIC_STRINGS;
+ }
/* reattach data to object, after which it remains const */
ret->data = data;
ret->length = length;
diff --git a/crypto/asn1/a_print.c b/crypto/asn1/a_print.c
index 85a631a2..3790e82b 100644
--- a/crypto/asn1/a_print.c
+++ b/crypto/asn1/a_print.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -18,12 +18,13 @@ int ASN1_PRINTABLE_type(const unsigned char *s, int len)
int ia5 = 0;
int t61 = 0;
- if (len <= 0)
- len = -1;
if (s == NULL)
return V_ASN1_PRINTABLESTRING;
- while ((*s) && (len-- != 0)) {
+ if (len < 0)
+ len = strlen((const char *)s);
+
+ while (len-- > 0) {
c = *(s++);
if (!ossl_isasn1print(c))
ia5 = 1;
diff --git a/crypto/asn1/a_strex.c b/crypto/asn1/a_strex.c
index 4879b337..284dde27 100644
--- a/crypto/asn1/a_strex.c
+++ b/crypto/asn1/a_strex.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -280,6 +280,8 @@ static int do_dump(unsigned long lflags, char_io *io_ch, void *arg,
t.type = str->type;
t.value.ptr = (char *)str;
der_len = i2d_ASN1_TYPE(&t, NULL);
+ if (der_len <= 0)
+ return -1;
if ((der_buf = OPENSSL_malloc(der_len)) == NULL) {
ASN1err(ASN1_F_DO_DUMP, ERR_R_MALLOC_FAILURE);
return -1;
diff --git a/crypto/asn1/asn1_lib.c b/crypto/asn1/asn1_lib.c
index 366afc5f..b9b7ad8e 100644
--- a/crypto/asn1/asn1_lib.c
+++ b/crypto/asn1/asn1_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -292,7 +292,12 @@ int ASN1_STRING_set(ASN1_STRING *str, const void *_data, int len_in)
}
if ((size_t)str->length <= len || str->data == NULL) {
c = str->data;
+#ifdef FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION
+ /* No NUL terminator in fuzzing builds */
+ str->data = OPENSSL_realloc(c, len != 0 ? len : 1);
+#else
str->data = OPENSSL_realloc(c, len + 1);
+#endif
if (str->data == NULL) {
ASN1err(ASN1_F_ASN1_STRING_SET, ERR_R_MALLOC_FAILURE);
str->data = c;
@@ -302,8 +307,17 @@ int ASN1_STRING_set(ASN1_STRING *str, const void *_data, int len_in)
str->length = len;
if (data != NULL) {
memcpy(str->data, data, len);
- /* an allowance for strings :-) */
+#ifdef FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION
+ /* Set the unused byte to something non NUL and printable. */
+ if (len == 0)
+ str->data[len] = '~';
+#else
+ /*
+ * Add a NUL terminator. This should not be necessary - but we add it as
+ * a safety precaution
+ */
str->data[len] = '\0';
+#endif
}
return 1;
}
@@ -365,7 +379,8 @@ int ASN1_STRING_cmp(const ASN1_STRING *a, const ASN1_STRING *b)
i = (a->length - b->length);
if (i == 0) {
- i = memcmp(a->data, b->data, a->length);
+ if (a->length != 0)
+ i = memcmp(a->data, b->data, a->length);
if (i == 0)
return a->type - b->type;
else
diff --git a/crypto/asn1/bio_asn1.c b/crypto/asn1/bio_asn1.c
index 86ee5663..914d77c8 100644
--- a/crypto/asn1/bio_asn1.c
+++ b/crypto/asn1/bio_asn1.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -138,6 +138,11 @@ static int asn1_bio_free(BIO *b)
if (ctx == NULL)
return 0;
+ if (ctx->prefix_free != NULL)
+ ctx->prefix_free(b, &ctx->ex_buf, &ctx->ex_len, &ctx->ex_arg);
+ if (ctx->suffix_free != NULL)
+ ctx->suffix_free(b, &ctx->ex_buf, &ctx->ex_len, &ctx->ex_arg);
+
OPENSSL_free(ctx->buf);
OPENSSL_free(ctx);
BIO_set_data(b, NULL);
diff --git a/crypto/asn1/bio_ndef.c b/crypto/asn1/bio_ndef.c
index d7d7d80e..760e4846 100644
--- a/crypto/asn1/bio_ndef.c
+++ b/crypto/asn1/bio_ndef.c
@@ -142,6 +142,9 @@ static int ndef_prefix_free(BIO *b, unsigned char **pbuf, int *plen,
ndef_aux = *(NDEF_SUPPORT **)parg;
+ if (ndef_aux == NULL)
+ return 0;
+
OPENSSL_free(ndef_aux->derbuf);
ndef_aux->derbuf = NULL;
diff --git a/crypto/asn1/charmap.h b/crypto/asn1/charmap.h
index e234c9e6..5630291b 100644
--- a/crypto/asn1/charmap.h
+++ b/crypto/asn1/charmap.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/asn1/charmap.pl
*
- * Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/asn1/d2i_pr.c b/crypto/asn1/d2i_pr.c
index 7b127d20..20949630 100644
--- a/crypto/asn1/d2i_pr.c
+++ b/crypto/asn1/d2i_pr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -78,13 +78,53 @@ EVP_PKEY *d2i_PrivateKey(int type, EVP_PKEY **a, const unsigned char **pp,
* type
*/
+static EVP_PKEY *key_as_pkcs8(const unsigned char **pp, long length, int *carry_on)
+{
+ const unsigned char *p = *pp;
+ PKCS8_PRIV_KEY_INFO *p8 = d2i_PKCS8_PRIV_KEY_INFO(NULL, &p, length);
+ EVP_PKEY *ret;
+
+ if (p8 == NULL)
+ return NULL;
+
+ ret = EVP_PKCS82PKEY(p8);
+ if (ret == NULL)
+ *carry_on = 0;
+
+ PKCS8_PRIV_KEY_INFO_free(p8);
+
+ if (ret != NULL)
+ *pp = p;
+
+ return ret;
+}
+
EVP_PKEY *d2i_AutoPrivateKey(EVP_PKEY **a, const unsigned char **pp,
long length)
{
STACK_OF(ASN1_TYPE) *inkey;
const unsigned char *p;
int keytype;
+ EVP_PKEY *ret = NULL;
+ int carry_on = 1;
+
+ ERR_set_mark();
+ ret = key_as_pkcs8(pp, length, &carry_on);
+ if (ret != NULL) {
+ ERR_clear_last_mark();
+ if (a != NULL)
+ *a = ret;
+ return ret;
+ }
+
+ if (carry_on == 0) {
+ ERR_clear_last_mark();
+ ASN1err(ASN1_F_D2I_AUTOPRIVATEKEY,
+ ASN1_R_UNSUPPORTED_PUBLIC_KEY_TYPE);
+ return NULL;
+ }
p = *pp;
+
/*
* Dirty trick: read in the ASN1 data into a STACK_OF(ASN1_TYPE): by
* analyzing it we can determine the passed structure: this assumes the
@@ -100,28 +140,15 @@ EVP_PKEY *d2i_AutoPrivateKey(EVP_PKEY **a, const unsigned char **pp,
keytype = EVP_PKEY_DSA;
else if (sk_ASN1_TYPE_num(inkey) == 4)
keytype = EVP_PKEY_EC;
- else if (sk_ASN1_TYPE_num(inkey) == 3) { /* This seems to be PKCS8, not
- * traditional format */
- PKCS8_PRIV_KEY_INFO *p8 = d2i_PKCS8_PRIV_KEY_INFO(NULL, &p, length);
- EVP_PKEY *ret;
-
- sk_ASN1_TYPE_pop_free(inkey, ASN1_TYPE_free);
- if (!p8) {
- ASN1err(ASN1_F_D2I_AUTOPRIVATEKEY,
- ASN1_R_UNSUPPORTED_PUBLIC_KEY_TYPE);
- return NULL;
- }
- ret = EVP_PKCS82PKEY(p8);
- PKCS8_PRIV_KEY_INFO_free(p8);
- if (ret == NULL)
- return NULL;
- *pp = p;
- if (a) {
- *a = ret;
- }
- return ret;
- } else
+ else
keytype = EVP_PKEY_RSA;
sk_ASN1_TYPE_pop_free(inkey, ASN1_TYPE_free);
- return d2i_PrivateKey(keytype, a, pp, length);
+
+ ret = d2i_PrivateKey(keytype, a, pp, length);
+ if (ret != NULL)
+ ERR_pop_to_mark();
+ else
+ ERR_clear_last_mark();
+
+ return ret;
}
diff --git a/crypto/asn1/t_spki.c b/crypto/asn1/t_spki.c
index 51b56d0a..3d4aea8a 100644
--- a/crypto/asn1/t_spki.c
+++ b/crypto/asn1/t_spki.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -38,7 +38,7 @@ int NETSCAPE_SPKI_print(BIO *out, NETSCAPE_SPKI *spki)
}
chal = spki->spkac->challenge;
if (chal->length)
- BIO_printf(out, " Challenge String: %s\n", chal->data);
+ BIO_printf(out, " Challenge String: %.*s\n", chal->length, chal->data);
i = OBJ_obj2nid(spki->sig_algor.algorithm);
BIO_printf(out, " Signature Algorithm: %s",
(i == NID_undef) ? "UNKNOWN" : OBJ_nid2ln(i));
diff --git a/crypto/bio/b_addr.c b/crypto/bio/b_addr.c
index b023bbda..0af7a330 100644
--- a/crypto/bio/b_addr.c
+++ b/crypto/bio/b_addr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -689,7 +689,7 @@ int BIO_lookup_ex(const char *host, const char *service, int lookup_type,
hints.ai_protocol = protocol;
# ifdef AI_ADDRCONFIG
# ifdef AF_UNSPEC
- if (family == AF_UNSPEC)
+ if (host != NULL && family == AF_UNSPEC)
# endif
hints.ai_flags |= AI_ADDRCONFIG;
# endif
@@ -744,7 +744,7 @@ int BIO_lookup_ex(const char *host, const char *service, int lookup_type,
# pragma pointer_size 32
#endif
/* Windows doesn't seem to have in_addr_t */
-#ifdef OPENSSL_SYS_WINDOWS
+#if defined(OPENSSL_SYS_WINDOWS) || defined(OPENSSL_SYS_MSDOS)
static uint32_t he_fallback_address;
static const char *he_fallback_addresses[] =
{ (char *)&he_fallback_address, NULL };
diff --git a/crypto/bio/b_sock2.c b/crypto/bio/b_sock2.c
index 335dfabc..104ff31b 100644
--- a/crypto/bio/b_sock2.c
+++ b/crypto/bio/b_sock2.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -243,7 +243,8 @@ int BIO_listen(int sock, const BIO_ADDR *addr, int options)
}
}
-# ifdef IPV6_V6ONLY
+ /* On OpenBSD it is always ipv6 only with ipv6 sockets thus read-only */
+# if defined(IPV6_V6ONLY) && !defined(__OpenBSD__)
if (BIO_ADDR_family(addr) == AF_INET6) {
/*
* Note: Windows default of IPV6_V6ONLY is ON, and Linux is OFF.
diff --git a/crypto/bio/bss_dgram.c b/crypto/bio/bss_dgram.c
index 942fd8b5..c87ba4d2 100644
--- a/crypto/bio/bss_dgram.c
+++ b/crypto/bio/bss_dgram.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -7,6 +7,10 @@
* https://www.openssl.org/source/license.html
*/
+#ifndef _GNU_SOURCE
+# define _GNU_SOURCE
+#endif
+
#include <stdio.h>
#include <errno.h>
diff --git a/crypto/bio/bss_mem.c b/crypto/bio/bss_mem.c
index 7cb4a578..2420b265 100644
--- a/crypto/bio/bss_mem.c
+++ b/crypto/bio/bss_mem.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -280,7 +280,7 @@ static long mem_ctrl(BIO *b, int cmd, long num, void *ptr)
ret = (long)bm->length;
if (ptr != NULL) {
pptr = (char **)ptr;
- *pptr = (char *)&(bm->data[0]);
+ *pptr = (char *)bm->data;
}
break;
case BIO_C_SET_BUF_MEM:
diff --git a/crypto/bn/asm/mips.pl b/crypto/bn/asm/mips.pl
index 8ad715bd..76fe8233 100644
--- a/crypto/bn/asm/mips.pl
+++ b/crypto/bn/asm/mips.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2010-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -1984,6 +1984,8 @@ $code.=<<___;
sltu $at,$c_2,$t_1
$ADDU $c_3,$t_2,$at
$ST $c_2,$BNSZ($a0)
+ sltu $at,$c_3,$t_2
+ $ADDU $c_1,$at
mflo ($t_1,$a_2,$a_0)
mfhi ($t_2,$a_2,$a_0)
___
@@ -2194,6 +2196,8 @@ $code.=<<___;
sltu $at,$c_2,$t_1
$ADDU $c_3,$t_2,$at
$ST $c_2,$BNSZ($a0)
+ sltu $at,$c_3,$t_2
+ $ADDU $c_1,$at
mflo ($t_1,$a_2,$a_0)
mfhi ($t_2,$a_2,$a_0)
___
diff --git a/crypto/bn/bn_div.c b/crypto/bn/bn_div.c
index 286d69c8..0da9f39b 100644
--- a/crypto/bn/bn_div.c
+++ b/crypto/bn/bn_div.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -268,7 +268,7 @@ int bn_div_fixed_top(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
BIGNUM *tmp, *snum, *sdiv, *res;
BN_ULONG *resp, *wnum, *wnumtop;
BN_ULONG d0, d1;
- int num_n, div_n;
+ int num_n, div_n, num_neg;
assert(divisor->top > 0 && divisor->d[divisor->top - 1] != 0);
@@ -326,7 +326,8 @@ int bn_div_fixed_top(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
/* Setup quotient */
if (!bn_wexpand(res, loop))
goto err;
- res->neg = (num->neg ^ divisor->neg);
+ num_neg = num->neg;
+ res->neg = (num_neg ^ divisor->neg);
res->top = loop;
res->flags |= BN_FLG_FIXED_TOP;
resp = &(res->d[loop]);
@@ -442,7 +443,7 @@ int bn_div_fixed_top(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
*--resp = q;
}
/* snum holds remainder, it's as wide as divisor */
- snum->neg = num->neg;
+ snum->neg = num_neg;
snum->top = div_n;
snum->flags |= BN_FLG_FIXED_TOP;
if (rm != NULL)
diff --git a/crypto/bn/bn_exp2.c b/crypto/bn/bn_exp2.c
index e542abe4..eac0896e 100644
--- a/crypto/bn/bn_exp2.c
+++ b/crypto/bn/bn_exp2.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -32,7 +32,7 @@ int BN_mod_exp2_mont(BIGNUM *rr, const BIGNUM *a1, const BIGNUM *p1,
bn_check_top(p2);
bn_check_top(m);
- if (!(m->d[0] & 1)) {
+ if (!BN_is_odd(m)) {
BNerr(BN_F_BN_MOD_EXP2_MONT, BN_R_CALLED_WITH_EVEN_MODULUS);
return 0;
}
diff --git a/crypto/bn/bn_prime.h b/crypto/bn/bn_prime.h
index 1a25c285..8f2d7e99 100644
--- a/crypto/bn/bn_prime.h
+++ b/crypto/bn/bn_prime.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/bn/bn_prime.pl
*
- * Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1998-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/bn/bn_print.c b/crypto/bn/bn_print.c
index 69749a9f..17ac6e7c 100644
--- a/crypto/bn/bn_print.c
+++ b/crypto/bn/bn_print.c
@@ -142,7 +142,7 @@ int BN_hex2bn(BIGNUM **bn, const char *a)
continue;
if (i == 0 || i > INT_MAX / 4)
- goto err;
+ return 0;
num = i + neg;
if (bn == NULL)
diff --git a/crypto/bn/bn_sqrt.c b/crypto/bn/bn_sqrt.c
index 1723d5de..6a42ce8a 100644
--- a/crypto/bn/bn_sqrt.c
+++ b/crypto/bn/bn_sqrt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -14,7 +14,8 @@ BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
/*
* Returns 'ret' such that ret^2 == a (mod p), using the Tonelli/Shanks
* algorithm (cf. Henri Cohen, "A Course in Algebraic Computational Number
- * Theory", algorithm 1.5.1). 'p' must be prime!
+ * Theory", algorithm 1.5.1). 'p' must be prime, otherwise an error or
+ * an incorrect "result" will be returned.
*/
{
BIGNUM *ret = in;
@@ -301,18 +302,23 @@ BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
goto vrfy;
}
- /* find smallest i such that b^(2^i) = 1 */
- i = 1;
- if (!BN_mod_sqr(t, b, p, ctx))
- goto end;
- while (!BN_is_one(t)) {
- i++;
- if (i == e) {
- BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
- goto end;
+ /* Find the smallest i, 0 < i < e, such that b^(2^i) = 1. */
+ for (i = 1; i < e; i++) {
+ if (i == 1) {
+ if (!BN_mod_sqr(t, b, p, ctx))
+ goto end;
+
+ } else {
+ if (!BN_mod_mul(t, t, t, p, ctx))
+ goto end;
}
- if (!BN_mod_mul(t, t, t, p, ctx))
- goto end;
+ if (BN_is_one(t))
+ break;
+ }
+ /* If not found, a is not a square or p is not prime. */
+ if (i >= e) {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
+ goto end;
}
/* t := y^2^(e - i - 1) */
diff --git a/crypto/chacha/asm/chacha-x86_64.pl b/crypto/chacha/asm/chacha-x86_64.pl
index 227ee59f..c0e5d863 100755
--- a/crypto/chacha/asm/chacha-x86_64.pl
+++ b/crypto/chacha/asm/chacha-x86_64.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -471,7 +471,7 @@ sub SSSE3ROUND { # critical path is 20 "SIMD ticks" per round
&por ($b,$t);
}
-my $xframe = $win64 ? 32+8 : 8;
+my $xframe = $win64 ? 160+8 : 8;
$code.=<<___;
.type ChaCha20_ssse3,\@function,5
@@ -2499,7 +2499,7 @@ sub AVX512ROUND { # critical path is 14 "SIMD ticks" per round
&vprold ($b,$b,7);
}
-my $xframe = $win64 ? 32+8 : 8;
+my $xframe = $win64 ? 160+8 : 8;
$code.=<<___;
.type ChaCha20_avx512,\@function,5
@@ -2515,8 +2515,16 @@ ChaCha20_avx512:
sub \$64+$xframe,%rsp
___
$code.=<<___ if ($win64);
- movaps %xmm6,-0x28(%r9)
- movaps %xmm7,-0x18(%r9)
+ movaps %xmm6,-0xa8(%r9)
+ movaps %xmm7,-0x98(%r9)
+ movaps %xmm8,-0x88(%r9)
+ movaps %xmm9,-0x78(%r9)
+ movaps %xmm10,-0x68(%r9)
+ movaps %xmm11,-0x58(%r9)
+ movaps %xmm12,-0x48(%r9)
+ movaps %xmm13,-0x38(%r9)
+ movaps %xmm14,-0x28(%r9)
+ movaps %xmm15,-0x18(%r9)
.Lavx512_body:
___
$code.=<<___;
@@ -2683,8 +2691,16 @@ $code.=<<___;
vzeroall
___
$code.=<<___ if ($win64);
- movaps -0x28(%r9),%xmm6
- movaps -0x18(%r9),%xmm7
+ movaps -0xa8(%r9),%xmm6
+ movaps -0x98(%r9),%xmm7
+ movaps -0x88(%r9),%xmm8
+ movaps -0x78(%r9),%xmm9
+ movaps -0x68(%r9),%xmm10
+ movaps -0x58(%r9),%xmm11
+ movaps -0x48(%r9),%xmm12
+ movaps -0x38(%r9),%xmm13
+ movaps -0x28(%r9),%xmm14
+ movaps -0x18(%r9),%xmm15
___
$code.=<<___;
lea (%r9),%rsp
@@ -2711,8 +2727,16 @@ ChaCha20_avx512vl:
sub \$64+$xframe,%rsp
___
$code.=<<___ if ($win64);
- movaps %xmm6,-0x28(%r9)
- movaps %xmm7,-0x18(%r9)
+ movaps %xmm6,-0xa8(%r9)
+ movaps %xmm7,-0x98(%r9)
+ movaps %xmm8,-0x88(%r9)
+ movaps %xmm9,-0x78(%r9)
+ movaps %xmm10,-0x68(%r9)
+ movaps %xmm11,-0x58(%r9)
+ movaps %xmm12,-0x48(%r9)
+ movaps %xmm13,-0x38(%r9)
+ movaps %xmm14,-0x28(%r9)
+ movaps %xmm15,-0x18(%r9)
.Lavx512vl_body:
___
$code.=<<___;
@@ -2836,8 +2860,16 @@ $code.=<<___;
vzeroall
___
$code.=<<___ if ($win64);
- movaps -0x28(%r9),%xmm6
- movaps -0x18(%r9),%xmm7
+ movaps -0xa8(%r9),%xmm6
+ movaps -0x98(%r9),%xmm7
+ movaps -0x88(%r9),%xmm8
+ movaps -0x78(%r9),%xmm9
+ movaps -0x68(%r9),%xmm10
+ movaps -0x58(%r9),%xmm11
+ movaps -0x48(%r9),%xmm12
+ movaps -0x38(%r9),%xmm13
+ movaps -0x28(%r9),%xmm14
+ movaps -0x18(%r9),%xmm15
___
$code.=<<___;
lea (%r9),%rsp
diff --git a/crypto/cms/cms_env.c b/crypto/cms/cms_env.c
index 04940146..962a0137 100644
--- a/crypto/cms/cms_env.c
+++ b/crypto/cms/cms_env.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2008-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2008-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -737,6 +737,7 @@ static int cms_RecipientInfo_kekri_decrypt(CMS_ContentInfo *cms,
goto err;
}
+ OPENSSL_clear_free(ec->key, ec->keylen);
ec->key = ukey;
ec->keylen = ukeylen;
diff --git a/crypto/conf/conf_def.h b/crypto/conf/conf_def.h
index 1e4a03e1..04902362 100644
--- a/crypto/conf/conf_def.h
+++ b/crypto/conf/conf_def.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/conf/keysets.pl
*
- * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
diff --git a/crypto/dh/dh_ameth.c b/crypto/dh/dh_ameth.c
index d5300408..576409cc 100644
--- a/crypto/dh/dh_ameth.c
+++ b/crypto/dh/dh_ameth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -629,16 +629,18 @@ static int dh_cms_set_peerkey(EVP_PKEY_CTX *pctx,
goto err;
pk = EVP_PKEY_CTX_get0_pkey(pctx);
- if (!pk)
- goto err;
- if (pk->type != EVP_PKEY_DHX)
+ if (pk == NULL || pk->type != EVP_PKEY_DHX)
goto err;
+
/* Get parameters from parent key */
dhpeer = DHparams_dup(pk->pkey.dh);
+ if (dhpeer == NULL)
+ goto err;
+
/* We have parameters now set public key */
plen = ASN1_STRING_length(pubkey);
p = ASN1_STRING_get0_data(pubkey);
- if (!p || !plen)
+ if (p == NULL || plen == 0)
goto err;
if ((public_key = d2i_ASN1_INTEGER(NULL, &p, plen)) == NULL) {
@@ -655,6 +657,7 @@ static int dh_cms_set_peerkey(EVP_PKEY_CTX *pctx,
pkpeer = EVP_PKEY_new();
if (pkpeer == NULL)
goto err;
+
EVP_PKEY_assign(pkpeer, pk->ameth->pkey_id, dhpeer);
dhpeer = NULL;
if (EVP_PKEY_derive_set_peer(pctx, pkpeer) > 0)
diff --git a/crypto/dsa/dsa_prn.c b/crypto/dsa/dsa_prn.c
index a4a1fd56..070b881e 100644
--- a/crypto/dsa/dsa_prn.c
+++ b/crypto/dsa/dsa_prn.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -49,9 +49,11 @@ int DSA_print(BIO *bp, const DSA *x, int off)
EVP_PKEY *pk;
int ret;
pk = EVP_PKEY_new();
- if (pk == NULL || !EVP_PKEY_set1_DSA(pk, (DSA *)x))
+ if (pk == NULL)
return 0;
- ret = EVP_PKEY_print_private(bp, pk, off, NULL);
+ ret = EVP_PKEY_set1_DSA(pk, (DSA *)x);
+ if (ret)
+ ret = EVP_PKEY_print_private(bp, pk, off, NULL);
EVP_PKEY_free(pk);
return ret;
}
@@ -61,9 +63,11 @@ int DSAparams_print(BIO *bp, const DSA *x)
EVP_PKEY *pk;
int ret;
pk = EVP_PKEY_new();
- if (pk == NULL || !EVP_PKEY_set1_DSA(pk, (DSA *)x))
+ if (pk == NULL)
return 0;
- ret = EVP_PKEY_print_params(bp, pk, 4, NULL);
+ ret = EVP_PKEY_set1_DSA(pk, (DSA *)x);
+ if (ret)
+ ret = EVP_PKEY_print_params(bp, pk, 4, NULL);
EVP_PKEY_free(pk);
return ret;
}
diff --git a/crypto/ec/curve448/field.h b/crypto/ec/curve448/field.h
index ccd04482..4e4eda66 100644
--- a/crypto/ec/curve448/field.h
+++ b/crypto/ec/curve448/field.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2014 Cryptography Research, Inc.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -62,7 +62,7 @@ mask_t gf_eq(const gf x, const gf y);
mask_t gf_lobit(const gf x);
mask_t gf_hibit(const gf x);
-void gf_serialize(uint8_t *serial, const gf x, int with_highbit);
+void gf_serialize(uint8_t serial[SER_BYTES], const gf x, int with_highbit);
mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
uint8_t hi_nmask);
diff --git a/crypto/ec/ec2_oct.c b/crypto/ec/ec2_oct.c
index 48543265..788e6501 100644
--- a/crypto/ec/ec2_oct.c
+++ b/crypto/ec/ec2_oct.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2011-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -247,9 +247,21 @@ int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
return 0;
}
- form = buf[0];
- y_bit = form & 1;
- form = form & ~1U;
+
+ /*
+ * The first octet is the point converison octet PC, see X9.62, page 4
+ * and section 4.4.2. It must be:
+ * 0x00 for the point at infinity
+ * 0x02 or 0x03 for compressed form
+ * 0x04 for uncompressed form
+ * 0x06 or 0x07 for hybrid form.
+ * For compressed or hybrid forms, we store the last bit of buf[0] as
+ * y_bit and clear it from buf[0] so as to obtain a POINT_CONVERSION_*.
+ * We error if buf[0] contains any but the above values.
+ */
+ y_bit = buf[0] & 1;
+ form = buf[0] & ~1U;
+
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
&& (form != POINT_CONVERSION_UNCOMPRESSED)
&& (form != POINT_CONVERSION_HYBRID)) {
@@ -261,6 +273,7 @@ int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
return 0;
}
+ /* The point at infinity is represented by a single zero octet. */
if (form == 0) {
if (len != 1) {
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
@@ -312,11 +325,23 @@ int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
goto err;
}
if (form == POINT_CONVERSION_HYBRID) {
- if (!group->meth->field_div(group, yxi, y, x, ctx))
- goto err;
- if (y_bit != BN_is_odd(yxi)) {
- ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
- goto err;
+ /*
+ * Check that the form in the encoding was set correctly
+ * according to X9.62 4.4.2.a, 4(c), see also first paragraph
+ * of X9.62, 4.4.1.b.
+ */
+ if (BN_is_zero(x)) {
+ if (y_bit != 0) {
+ ECerr(ERR_LIB_EC, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ } else {
+ if (!group->meth->field_div(group, yxi, y, x, ctx))
+ goto err;
+ if (y_bit != BN_is_odd(yxi)) {
+ ECerr(ERR_LIB_EC, EC_R_INVALID_ENCODING);
+ goto err;
+ }
}
}
diff --git a/crypto/ec/ec_asn1.c b/crypto/ec/ec_asn1.c
index 7b7c75ce..4335b3da 100644
--- a/crypto/ec/ec_asn1.c
+++ b/crypto/ec/ec_asn1.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -548,7 +548,7 @@ ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
ECPARAMETERS_free(ret->value.parameters);
}
- if (EC_GROUP_get_asn1_flag(group)) {
+ if (EC_GROUP_get_asn1_flag(group) == OPENSSL_EC_NAMED_CURVE) {
/*
* use the asn1 OID to describe the elliptic curve parameters
*/
@@ -761,7 +761,10 @@ EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params)
ret->seed_len = params->curve->seed->length;
}
- if (!params->order || !params->base || !params->base->data) {
+ if (params->order == NULL
+ || params->base == NULL
+ || params->base->data == NULL
+ || params->base->length == 0) {
ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
goto err;
}
diff --git a/crypto/ec/ec_curve.c b/crypto/ec/ec_curve.c
index 8de486cb..b4c14e91 100644
--- a/crypto/ec/ec_curve.c
+++ b/crypto/ec/ec_curve.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -12,6 +12,7 @@
#include "ec_local.h"
#include <openssl/err.h>
#include <openssl/obj_mac.h>
+#include <openssl/objects.h>
#include <openssl/opensslconf.h>
#include "internal/nelem.h"
@@ -3097,6 +3098,32 @@ static EC_GROUP *ec_group_new_from_data(const ec_list_element curve)
goto err;
}
}
+
+ if (EC_GROUP_get_asn1_flag(group) == OPENSSL_EC_NAMED_CURVE) {
+ /*
+ * Some curves don't have an associated OID: for those we should not
+ * default to `OPENSSL_EC_NAMED_CURVE` encoding of parameters and
+ * instead set the ASN1 flag to `OPENSSL_EC_EXPLICIT_CURVE`.
+ *
+ * Note that `OPENSSL_EC_NAMED_CURVE` is set as the default ASN1 flag on
+ * `EC_GROUP_new()`, when we don't have enough elements to determine if
+ * an OID for the curve name actually exists.
+ * We could implement this check on `EC_GROUP_set_curve_name()` but
+ * overloading the simple setter with this lookup could have a negative
+ * performance impact and unexpected consequences.
+ */
+ ASN1_OBJECT *asn1obj = OBJ_nid2obj(curve.nid);
+
+ if (asn1obj == NULL) {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_OBJ_LIB);
+ goto err;
+ }
+ if (OBJ_length(asn1obj) == 0)
+ EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
+
+ ASN1_OBJECT_free(asn1obj);
+ }
+
ok = 1;
err:
if (!ok) {
diff --git a/crypto/engine/eng_all.c b/crypto/engine/eng_all.c
index b675ed78..474a60c9 100644
--- a/crypto/engine/eng_all.c
+++ b/crypto/engine/eng_all.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,9 +12,6 @@
void ENGINE_load_builtin_engines(void)
{
- /* Some ENGINEs need this */
- OPENSSL_cpuid_setup();
-
OPENSSL_init_crypto(OPENSSL_INIT_ENGINE_ALL_BUILTIN, NULL);
}
diff --git a/crypto/engine/eng_dyn.c b/crypto/engine/eng_dyn.c
index 06e67729..6a0ddc16 100644
--- a/crypto/engine/eng_dyn.c
+++ b/crypto/engine/eng_dyn.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -443,8 +443,17 @@ static int dynamic_load(ENGINE *e, dynamic_data_ctx *ctx)
* We fail if the version checker veto'd the load *or* if it is
* deferring to us (by returning its version) and we think it is too
* old.
+ * Unfortunately the version checker does not distinguish between
+ * engines built for openssl 1.1.x and openssl 3.x, but loading
+ * an engine that is built for openssl 3.x will cause a fatal
+ * error. Detect such engines, since EVP_PKEY_get_base_id is exported
+ * as a function in openssl 3.x, while it is named EVP_PKEY_base_id
+ * in openssl 1.1.x. Therefore we take the presence of that symbol
+ * as an indication that the engine will be incompatible.
*/
- if (vcheck_res < OSSL_DYNAMIC_OLDEST) {
+ if (vcheck_res < OSSL_DYNAMIC_OLDEST
+ || DSO_bind_func(ctx->dynamic_dso,
+ "EVP_PKEY_get_base_id") != NULL) {
/* Fail */
ctx->bind_engine = NULL;
ctx->v_check = NULL;
@@ -477,7 +486,9 @@ static int dynamic_load(ENGINE *e, dynamic_data_ctx *ctx)
engine_set_all_null(e);
/* Try to bind the ENGINE onto our own ENGINE structure */
- if (!ctx->bind_engine(e, ctx->engine_id, &fns)) {
+ if (!engine_add_dynamic_id(e, (ENGINE_DYNAMIC_ID)ctx->bind_engine, 1)
+ || !ctx->bind_engine(e, ctx->engine_id, &fns)) {
+ engine_remove_dynamic_id(e, 1);
ctx->bind_engine = NULL;
ctx->v_check = NULL;
DSO_free(ctx->dynamic_dso);
diff --git a/crypto/engine/eng_lib.c b/crypto/engine/eng_lib.c
index 5bd584c5..fb727b78 100644
--- a/crypto/engine/eng_lib.c
+++ b/crypto/engine/eng_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -67,6 +67,7 @@ void engine_set_all_null(ENGINE *e)
e->load_pubkey = NULL;
e->cmd_defns = NULL;
e->flags = 0;
+ e->dynamic_id = NULL;
}
int engine_free_util(ENGINE *e, int not_locked)
@@ -92,6 +93,7 @@ int engine_free_util(ENGINE *e, int not_locked)
*/
if (e->destroy)
e->destroy(e);
+ engine_remove_dynamic_id(e, not_locked);
CRYPTO_free_ex_data(CRYPTO_EX_INDEX_ENGINE, e, &e->ex_data);
OPENSSL_free(e);
return 1;
diff --git a/crypto/engine/eng_list.c b/crypto/engine/eng_list.c
index 1352fb7c..e2e91d29 100644
--- a/crypto/engine/eng_list.c
+++ b/crypto/engine/eng_list.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -24,6 +24,12 @@
static ENGINE *engine_list_head = NULL;
static ENGINE *engine_list_tail = NULL;
+/*
+ * The linked list of currently loaded dynamic engines.
+ */
+static ENGINE *engine_dyn_list_head = NULL;
+static ENGINE *engine_dyn_list_tail = NULL;
+
/*
* This cleanup function is only needed internally. If it should be called,
* we register it with the "engine_cleanup_int()" stack to be called during
@@ -126,6 +132,85 @@ static int engine_list_remove(ENGINE *e)
return 1;
}
+/* Add engine to dynamic engine list. */
+int engine_add_dynamic_id(ENGINE *e, ENGINE_DYNAMIC_ID dynamic_id,
+ int not_locked)
+{
+ int result = 0;
+ ENGINE *iterator = NULL;
+
+ if (e == NULL)
+ return 0;
+
+ if (e->dynamic_id == NULL && dynamic_id == NULL)
+ return 0;
+
+ if (not_locked && !CRYPTO_THREAD_write_lock(global_engine_lock))
+ return 0;
+
+ if (dynamic_id != NULL) {
+ iterator = engine_dyn_list_head;
+ while (iterator != NULL) {
+ if (iterator->dynamic_id == dynamic_id)
+ goto err;
+ iterator = iterator->next;
+ }
+ if (e->dynamic_id != NULL)
+ goto err;
+ e->dynamic_id = dynamic_id;
+ }
+
+ if (engine_dyn_list_head == NULL) {
+ /* We are adding to an empty list. */
+ if (engine_dyn_list_tail != NULL)
+ goto err;
+ engine_dyn_list_head = e;
+ e->prev_dyn = NULL;
+ } else {
+ /* We are adding to the tail of an existing list. */
+ if (engine_dyn_list_tail == NULL
+ || engine_dyn_list_tail->next_dyn != NULL)
+ goto err;
+ engine_dyn_list_tail->next_dyn = e;
+ e->prev_dyn = engine_dyn_list_tail;
+ }
+
+ engine_dyn_list_tail = e;
+ e->next_dyn = NULL;
+ result = 1;
+
+ err:
+ if (not_locked)
+ CRYPTO_THREAD_unlock(global_engine_lock);
+ return result;
+}
+
+/* Remove engine from dynamic engine list. */
+void engine_remove_dynamic_id(ENGINE *e, int not_locked)
+{
+ if (e == NULL || e->dynamic_id == NULL)
+ return;
+
+ if (not_locked && !CRYPTO_THREAD_write_lock(global_engine_lock))
+ return;
+
+ e->dynamic_id = NULL;
+
+ /* un-link e from the chain. */
+ if (e->next_dyn != NULL)
+ e->next_dyn->prev_dyn = e->prev_dyn;
+ if (e->prev_dyn != NULL)
+ e->prev_dyn->next_dyn = e->next_dyn;
+ /* Correct our head/tail if necessary. */
+ if (engine_dyn_list_head == e)
+ engine_dyn_list_head = e->next_dyn;
+ if (engine_dyn_list_tail == e)
+ engine_dyn_list_tail = e->prev_dyn;
+
+ if (not_locked)
+ CRYPTO_THREAD_unlock(global_engine_lock);
+}
+
/* Get the first/last "ENGINE" type available. */
ENGINE *ENGINE_get_first(void)
{
@@ -272,6 +357,8 @@ static void engine_cpy(ENGINE *dest, const ENGINE *src)
dest->load_pubkey = src->load_pubkey;
dest->cmd_defns = src->cmd_defns;
dest->flags = src->flags;
+ dest->dynamic_id = src->dynamic_id;
+ engine_add_dynamic_id(dest, NULL, 0);
}
ENGINE *ENGINE_by_id(const char *id)
diff --git a/crypto/engine/eng_local.h b/crypto/engine/eng_local.h
index 8ef7172b..e271222d 100644
--- a/crypto/engine/eng_local.h
+++ b/crypto/engine/eng_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -118,6 +118,11 @@ void engine_pkey_asn1_meths_free(ENGINE *e);
extern CRYPTO_ONCE engine_lock_init;
DECLARE_RUN_ONCE(do_engine_lock_init)
+typedef void (*ENGINE_DYNAMIC_ID)(void);
+int engine_add_dynamic_id(ENGINE *e, ENGINE_DYNAMIC_ID dynamic_id,
+ int not_locked);
+void engine_remove_dynamic_id(ENGINE *e, int not_locked);
+
/*
* This is a structure for storing implementations of various crypto
* algorithms and functions.
@@ -162,6 +167,10 @@ struct engine_st {
/* Used to maintain the linked-list of engines. */
struct engine_st *prev;
struct engine_st *next;
+ /* Used to maintain the linked-list of dynamic engines. */
+ struct engine_st *prev_dyn;
+ struct engine_st *next_dyn;
+ ENGINE_DYNAMIC_ID dynamic_id;
};
typedef struct st_engine_pile ENGINE_PILE;
diff --git a/crypto/err/err.c b/crypto/err/err.c
index 1372d52f..bd116e24 100644
--- a/crypto/err/err.c
+++ b/crypto/err/err.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -129,6 +129,7 @@ static ERR_STRING_DATA ERR_str_reasons[] = {
{ERR_R_INTERNAL_ERROR, "internal error"},
{ERR_R_DISABLED, "called a function that was disabled at compile-time"},
{ERR_R_INIT_FAIL, "init fail"},
+ {ERR_R_PASSED_INVALID_ARGUMENT, "passed invalid argument"},
{ERR_R_OPERATION_FAIL, "operation fail"},
{0, NULL},
diff --git a/crypto/err/openssl.txt b/crypto/err/openssl.txt
index 7e177637..902e97b8 100644
--- a/crypto/err/openssl.txt
+++ b/crypto/err/openssl.txt
@@ -1160,6 +1160,7 @@ SSL_F_FINAL_EC_PT_FORMATS:485:final_ec_pt_formats
SSL_F_FINAL_EMS:486:final_ems
SSL_F_FINAL_KEY_SHARE:503:final_key_share
SSL_F_FINAL_MAXFRAGMENTLEN:557:final_maxfragmentlen
+SSL_F_FINAL_PSK:639:final_psk
SSL_F_FINAL_RENEGOTIATE:483:final_renegotiate
SSL_F_FINAL_SERVER_NAME:558:final_server_name
SSL_F_FINAL_SIG_ALGS:497:final_sig_algs
@@ -1652,6 +1653,7 @@ X509V3_F_I2S_ASN1_ENUMERATED:121:i2s_ASN1_ENUMERATED
X509V3_F_I2S_ASN1_IA5STRING:149:i2s_ASN1_IA5STRING
X509V3_F_I2S_ASN1_INTEGER:120:i2s_ASN1_INTEGER
X509V3_F_I2V_AUTHORITY_INFO_ACCESS:138:i2v_AUTHORITY_INFO_ACCESS
+X509V3_F_I2V_AUTHORITY_KEYID:173:i2v_AUTHORITY_KEYID
X509V3_F_LEVEL_ADD_NODE:168:level_add_node
X509V3_F_NOTICE_SECTION:132:notice_section
X509V3_F_NREF_NOS:133:nref_nos
@@ -1692,6 +1694,7 @@ X509V3_F_V2I_SUBJECT_ALT:154:v2i_subject_alt
X509V3_F_V2I_TLS_FEATURE:165:v2i_TLS_FEATURE
X509V3_F_V3_GENERIC_EXTENSION:116:v3_generic_extension
X509V3_F_X509V3_ADD1_I2D:140:X509V3_add1_i2d
+X509V3_F_X509V3_ADD_LEN_VALUE:174:x509v3_add_len_value
X509V3_F_X509V3_ADD_VALUE:105:X509V3_add_value
X509V3_F_X509V3_EXT_ADD:104:X509V3_EXT_add
X509V3_F_X509V3_EXT_ADD_ALIAS:106:X509V3_EXT_add_alias
@@ -2741,6 +2744,7 @@ SSL_R_MISSING_DSA_SIGNING_CERT:165:missing dsa signing cert
SSL_R_MISSING_ECDSA_SIGNING_CERT:381:missing ecdsa signing cert
SSL_R_MISSING_FATAL:256:missing fatal
SSL_R_MISSING_PARAMETERS:290:missing parameters
+SSL_R_MISSING_PSK_KEX_MODES_EXTENSION:310:missing psk kex modes extension
SSL_R_MISSING_RSA_CERTIFICATE:168:missing rsa certificate
SSL_R_MISSING_RSA_ENCRYPTING_CERT:169:missing rsa encrypting cert
SSL_R_MISSING_RSA_SIGNING_CERT:170:missing rsa signing cert
@@ -2784,6 +2788,7 @@ SSL_R_NO_VALID_SCTS:216:no valid scts
SSL_R_NO_VERIFY_COOKIE_CALLBACK:403:no verify cookie callback
SSL_R_NULL_SSL_CTX:195:null ssl ctx
SSL_R_NULL_SSL_METHOD_PASSED:196:null ssl method passed
+SSL_R_OCSP_CALLBACK_FAILURE:294:ocsp callback failure
SSL_R_OLD_SESSION_CIPHER_NOT_RETURNED:197:old session cipher not returned
SSL_R_OLD_SESSION_COMPRESSION_ALGORITHM_NOT_RETURNED:344:\
old session compression algorithm not returned
diff --git a/crypto/evp/digest.c b/crypto/evp/digest.c
index d1bfa274..01a6f251 100644
--- a/crypto/evp/digest.c
+++ b/crypto/evp/digest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -15,6 +15,22 @@
#include "crypto/evp.h"
#include "evp_local.h"
+
+static void cleanup_old_md_data(EVP_MD_CTX *ctx, int force)
+{
+ if (ctx->digest != NULL) {
+ if (ctx->digest->cleanup != NULL
+ && !EVP_MD_CTX_test_flags(ctx, EVP_MD_CTX_FLAG_CLEANED))
+ ctx->digest->cleanup(ctx);
+ if (ctx->md_data != NULL && ctx->digest->ctx_size > 0
+ && (!EVP_MD_CTX_test_flags(ctx, EVP_MD_CTX_FLAG_REUSE)
+ || force)) {
+ OPENSSL_clear_free(ctx->md_data, ctx->digest->ctx_size);
+ ctx->md_data = NULL;
+ }
+ }
+}
+
/* This call frees resources associated with the context */
int EVP_MD_CTX_reset(EVP_MD_CTX *ctx)
{
@@ -25,13 +41,8 @@ int EVP_MD_CTX_reset(EVP_MD_CTX *ctx)
* Don't assume ctx->md_data was cleaned in EVP_Digest_Final, because
* sometimes only copies of the context are ever finalised.
*/
- if (ctx->digest && ctx->digest->cleanup
- && !EVP_MD_CTX_test_flags(ctx, EVP_MD_CTX_FLAG_CLEANED))
- ctx->digest->cleanup(ctx);
- if (ctx->digest && ctx->digest->ctx_size && ctx->md_data
- && !EVP_MD_CTX_test_flags(ctx, EVP_MD_CTX_FLAG_REUSE)) {
- OPENSSL_clear_free(ctx->md_data, ctx->digest->ctx_size);
- }
+ cleanup_old_md_data(ctx, 0);
+
/*
* pctx should be freed by the user of EVP_MD_CTX
* if EVP_MD_CTX_FLAG_KEEP_PKEY_CTX is set
@@ -76,6 +87,7 @@ int EVP_DigestInit_ex(EVP_MD_CTX *ctx, const EVP_MD *type, ENGINE *impl)
if (ctx->engine && ctx->digest &&
(type == NULL || (type->type == ctx->digest->type)))
goto skip_to_init;
+
if (type) {
/*
* Ensure an ENGINE left lying around from last time is cleared (the
@@ -119,10 +131,8 @@ int EVP_DigestInit_ex(EVP_MD_CTX *ctx, const EVP_MD *type, ENGINE *impl)
}
#endif
if (ctx->digest != type) {
- if (ctx->digest && ctx->digest->ctx_size) {
- OPENSSL_clear_free(ctx->md_data, ctx->digest->ctx_size);
- ctx->md_data = NULL;
- }
+ cleanup_old_md_data(ctx, 1);
+
ctx->digest = type;
if (!(ctx->flags & EVP_MD_CTX_FLAG_NO_INIT) && type->ctx_size) {
ctx->update = type->update;
diff --git a/crypto/evp/e_aes.c b/crypto/evp/e_aes.c
index 405ddbf9..a1d3ab90 100644
--- a/crypto/evp/e_aes.c
+++ b/crypto/evp/e_aes.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -611,22 +611,22 @@ void aes_t4_decrypt(const unsigned char *in, unsigned char *out,
*/
void aes128_t4_cbc_encrypt(const unsigned char *in, unsigned char *out,
size_t len, const AES_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void aes128_t4_cbc_decrypt(const unsigned char *in, unsigned char *out,
size_t len, const AES_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void aes192_t4_cbc_encrypt(const unsigned char *in, unsigned char *out,
size_t len, const AES_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void aes192_t4_cbc_decrypt(const unsigned char *in, unsigned char *out,
size_t len, const AES_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void aes256_t4_cbc_encrypt(const unsigned char *in, unsigned char *out,
size_t len, const AES_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void aes256_t4_cbc_decrypt(const unsigned char *in, unsigned char *out,
size_t len, const AES_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void aes128_t4_ctr32_encrypt(const unsigned char *in, unsigned char *out,
size_t blocks, const AES_KEY *key,
unsigned char *ivec);
@@ -1168,9 +1168,9 @@ typedef struct {
static int s390x_aes_init_key(EVP_CIPHER_CTX *ctx, const unsigned char *key,
const unsigned char *iv, int enc);
-# define S390X_aes_128_cbc_CAPABLE 1 /* checked by callee */
-# define S390X_aes_192_cbc_CAPABLE 1
-# define S390X_aes_256_cbc_CAPABLE 1
+# define S390X_aes_128_cbc_CAPABLE 0 /* checked by callee */
+# define S390X_aes_192_cbc_CAPABLE 0
+# define S390X_aes_256_cbc_CAPABLE 0
# define S390X_AES_CBC_CTX EVP_AES_KEY
# define s390x_aes_cbc_init_key aes_init_key
@@ -1190,11 +1190,11 @@ static int s390x_aes_ecb_init_key(EVP_CIPHER_CTX *ctx,
S390X_AES_ECB_CTX *cctx = EVP_C_DATA(S390X_AES_ECB_CTX, ctx);
const int keylen = EVP_CIPHER_CTX_key_length(ctx);
- cctx->fc = S390X_AES_FC(keylen);
- if (!enc)
- cctx->fc |= S390X_DECRYPT;
+ cctx->fc = S390X_AES_FC(keylen) | (enc ? 0 : S390X_DECRYPT);
+
+ if (key != NULL)
+ memcpy(cctx->km.param.k, key, keylen);
- memcpy(cctx->km.param.k, key, keylen);
return 1;
}
@@ -1222,14 +1222,17 @@ static int s390x_aes_ofb_init_key(EVP_CIPHER_CTX *ctx,
const unsigned char *ivec, int enc)
{
S390X_AES_OFB_CTX *cctx = EVP_C_DATA(S390X_AES_OFB_CTX, ctx);
- const unsigned char *iv = EVP_CIPHER_CTX_original_iv(ctx);
+ const unsigned char *oiv = EVP_CIPHER_CTX_original_iv(ctx);
const int keylen = EVP_CIPHER_CTX_key_length(ctx);
const int ivlen = EVP_CIPHER_CTX_iv_length(ctx);
- memcpy(cctx->kmo.param.cv, iv, ivlen);
- memcpy(cctx->kmo.param.k, key, keylen);
cctx->fc = S390X_AES_FC(keylen);
+
+ if (key != NULL)
+ memcpy(cctx->kmo.param.k, key, keylen);
+
cctx->res = 0;
+ memcpy(cctx->kmo.param.cv, oiv, ivlen);
return 1;
}
@@ -1237,9 +1240,12 @@ static int s390x_aes_ofb_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
const unsigned char *in, size_t len)
{
S390X_AES_OFB_CTX *cctx = EVP_C_DATA(S390X_AES_OFB_CTX, ctx);
+ const int ivlen = EVP_CIPHER_CTX_iv_length(ctx);
+ unsigned char *iv = EVP_CIPHER_CTX_iv_noconst(ctx);
int n = cctx->res;
int rem;
+ memcpy(cctx->kmo.param.cv, iv, ivlen);
while (n && len) {
*out = *in ^ cctx->kmo.param.cv[n];
n = (n + 1) & 0xf;
@@ -1268,6 +1274,7 @@ static int s390x_aes_ofb_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
}
}
+ memcpy(iv, cctx->kmo.param.cv, ivlen);
cctx->res = n;
return 1;
}
@@ -1287,18 +1294,18 @@ static int s390x_aes_cfb_init_key(EVP_CIPHER_CTX *ctx,
const unsigned char *ivec, int enc)
{
S390X_AES_CFB_CTX *cctx = EVP_C_DATA(S390X_AES_CFB_CTX, ctx);
- const unsigned char *iv = EVP_CIPHER_CTX_original_iv(ctx);
+ const unsigned char *oiv = EVP_CIPHER_CTX_original_iv(ctx);
const int keylen = EVP_CIPHER_CTX_key_length(ctx);
const int ivlen = EVP_CIPHER_CTX_iv_length(ctx);
- cctx->fc = S390X_AES_FC(keylen);
- cctx->fc |= 16 << 24; /* 16 bytes cipher feedback */
- if (!enc)
- cctx->fc |= S390X_DECRYPT;
+ cctx->fc = S390X_AES_FC(keylen) | (enc ? 0 : S390X_DECRYPT)
+ | (16 << 24); /* 16 bytes cipher feedback */
+
+ if (key != NULL)
+ memcpy(cctx->kmf.param.k, key, keylen);
cctx->res = 0;
- memcpy(cctx->kmf.param.cv, iv, ivlen);
- memcpy(cctx->kmf.param.k, key, keylen);
+ memcpy(cctx->kmf.param.cv, oiv, ivlen);
return 1;
}
@@ -1308,10 +1315,13 @@ static int s390x_aes_cfb_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
S390X_AES_CFB_CTX *cctx = EVP_C_DATA(S390X_AES_CFB_CTX, ctx);
const int keylen = EVP_CIPHER_CTX_key_length(ctx);
const int enc = EVP_CIPHER_CTX_encrypting(ctx);
+ const int ivlen = EVP_CIPHER_CTX_iv_length(ctx);
+ unsigned char *iv = EVP_CIPHER_CTX_iv_noconst(ctx);
int n = cctx->res;
int rem;
unsigned char tmp;
+ memcpy(cctx->kmf.param.cv, iv, ivlen);
while (n && len) {
tmp = *in;
*out = cctx->kmf.param.cv[n] ^ tmp;
@@ -1344,6 +1354,7 @@ static int s390x_aes_cfb_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
}
}
+ memcpy(iv, cctx->kmf.param.cv, ivlen);
cctx->res = n;
return 1;
}
@@ -1360,17 +1371,18 @@ static int s390x_aes_cfb8_init_key(EVP_CIPHER_CTX *ctx,
const unsigned char *ivec, int enc)
{
S390X_AES_CFB_CTX *cctx = EVP_C_DATA(S390X_AES_CFB_CTX, ctx);
- const unsigned char *iv = EVP_CIPHER_CTX_original_iv(ctx);
+ const unsigned char *oiv = EVP_CIPHER_CTX_original_iv(ctx);
const int keylen = EVP_CIPHER_CTX_key_length(ctx);
const int ivlen = EVP_CIPHER_CTX_iv_length(ctx);
- cctx->fc = S390X_AES_FC(keylen);
- cctx->fc |= 1 << 24; /* 1 byte cipher feedback */
- if (!enc)
- cctx->fc |= S390X_DECRYPT;
+ cctx->fc = S390X_AES_FC(keylen) | (enc ? 0 : S390X_DECRYPT)
+ | (1 << 24); /* 1 byte cipher feedback flag */
- memcpy(cctx->kmf.param.cv, iv, ivlen);
- memcpy(cctx->kmf.param.k, key, keylen);
+ if (key != NULL)
+ memcpy(cctx->kmf.param.k, key, keylen);
+
+ cctx->res = 0;
+ memcpy(cctx->kmf.param.cv, oiv, ivlen);
return 1;
}
@@ -1378,8 +1390,12 @@ static int s390x_aes_cfb8_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
const unsigned char *in, size_t len)
{
S390X_AES_CFB_CTX *cctx = EVP_C_DATA(S390X_AES_CFB_CTX, ctx);
+ const int ivlen = EVP_CIPHER_CTX_iv_length(ctx);
+ unsigned char *iv = EVP_CIPHER_CTX_iv_noconst(ctx);
+ memcpy(cctx->kmf.param.cv, iv, ivlen);
s390x_kmf(in, len, out, cctx->fc, &cctx->kmf.param);
+ memcpy(iv, cctx->kmf.param.cv, ivlen);
return 1;
}
@@ -1393,9 +1409,9 @@ static int s390x_aes_cfb8_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
static int s390x_aes_cfb1_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
const unsigned char *in, size_t len);
-# define S390X_aes_128_ctr_CAPABLE 1 /* checked by callee */
-# define S390X_aes_192_ctr_CAPABLE 1
-# define S390X_aes_256_ctr_CAPABLE 1
+# define S390X_aes_128_ctr_CAPABLE 0 /* checked by callee */
+# define S390X_aes_192_ctr_CAPABLE 0
+# define S390X_aes_256_ctr_CAPABLE 0
# define S390X_AES_CTR_CTX EVP_AES_KEY
# define s390x_aes_ctr_init_key aes_init_key
@@ -1563,8 +1579,7 @@ static int s390x_aes_gcm(S390X_AES_GCM_CTX *ctx, const unsigned char *in,
/*-
* Initialize context structure. Code is big-endian.
*/
-static void s390x_aes_gcm_setiv(S390X_AES_GCM_CTX *ctx,
- const unsigned char *iv)
+static void s390x_aes_gcm_setiv(S390X_AES_GCM_CTX *ctx)
{
ctx->kma.param.t.g[0] = 0;
ctx->kma.param.t.g[1] = 0;
@@ -1575,12 +1590,11 @@ static void s390x_aes_gcm_setiv(S390X_AES_GCM_CTX *ctx,
ctx->kreslen = 0;
if (ctx->ivlen == 12) {
- memcpy(&ctx->kma.param.j0, iv, ctx->ivlen);
+ memcpy(&ctx->kma.param.j0, ctx->iv, ctx->ivlen);
ctx->kma.param.j0.w[3] = 1;
ctx->kma.param.cv.w = 1;
} else {
/* ctx->iv has the right size and is already padded. */
- memcpy(ctx->iv, iv, ctx->ivlen);
s390x_kma(ctx->iv, S390X_gcm_ivpadlen(ctx->ivlen), NULL, 0, NULL,
ctx->fc, &ctx->kma.param);
ctx->fc |= S390X_KMA_HS;
@@ -1694,7 +1708,7 @@ static int s390x_aes_gcm_ctrl(EVP_CIPHER_CTX *c, int type, int arg, void *ptr)
if (gctx->iv_gen == 0 || gctx->key_set == 0)
return 0;
- s390x_aes_gcm_setiv(gctx, gctx->iv);
+ s390x_aes_gcm_setiv(gctx);
if (arg <= 0 || arg > gctx->ivlen)
arg = gctx->ivlen;
@@ -1714,7 +1728,7 @@ static int s390x_aes_gcm_ctrl(EVP_CIPHER_CTX *c, int type, int arg, void *ptr)
return 0;
memcpy(gctx->iv + gctx->ivlen - arg, ptr, arg);
- s390x_aes_gcm_setiv(gctx, gctx->iv);
+ s390x_aes_gcm_setiv(gctx);
gctx->iv_set = 1;
return 1;
@@ -1770,43 +1784,36 @@ static int s390x_aes_gcm_ctrl(EVP_CIPHER_CTX *c, int type, int arg, void *ptr)
}
/*-
- * Set key and/or iv. Returns 1 on success. Otherwise 0 is returned.
+ * Set key or iv or enc/dec. Returns 1 on success. Otherwise 0 is returned.
*/
static int s390x_aes_gcm_init_key(EVP_CIPHER_CTX *ctx,
const unsigned char *key,
const unsigned char *iv, int enc)
{
S390X_AES_GCM_CTX *gctx = EVP_C_DATA(S390X_AES_GCM_CTX, ctx);
- int keylen;
+ const int keylen = EVP_CIPHER_CTX_key_length(ctx);
- if (iv == NULL && key == NULL)
- return 1;
+ gctx->fc = S390X_AES_FC(keylen) | (enc ? 0 : S390X_DECRYPT);
if (key != NULL) {
- keylen = EVP_CIPHER_CTX_key_length(ctx);
+ gctx->fc &= ~S390X_KMA_HS;
memcpy(&gctx->kma.param.k, key, keylen);
-
- gctx->fc = S390X_AES_FC(keylen);
- if (!enc)
- gctx->fc |= S390X_DECRYPT;
-
- if (iv == NULL && gctx->iv_set)
- iv = gctx->iv;
-
- if (iv != NULL) {
- s390x_aes_gcm_setiv(gctx, iv);
- gctx->iv_set = 1;
- }
gctx->key_set = 1;
- } else {
- if (gctx->key_set)
- s390x_aes_gcm_setiv(gctx, iv);
- else
- memcpy(gctx->iv, iv, gctx->ivlen);
+ }
- gctx->iv_set = 1;
+ if (iv != NULL) {
+ memcpy(gctx->iv, iv, gctx->ivlen);
gctx->iv_gen = 0;
+ gctx->iv_set = 1;
}
+
+ if (gctx->key_set && gctx->iv_set)
+ s390x_aes_gcm_setiv(gctx);
+
+ gctx->fc &= ~(S390X_KMA_LPC | S390X_KMA_LAAD);
+ gctx->areslen = 0;
+ gctx->mreslen = 0;
+ gctx->kreslen = 0;
return 1;
}
@@ -1895,7 +1902,6 @@ static int s390x_aes_gcm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
/* recall that we already did en-/decrypt gctx->mres
* and returned it to caller... */
OPENSSL_cleanse(tmp, gctx->mreslen);
- gctx->iv_set = 0;
enc = EVP_CIPHER_CTX_encrypting(ctx);
if (enc) {
@@ -1929,8 +1935,8 @@ static int s390x_aes_gcm_cleanup(EVP_CIPHER_CTX *c)
}
# define S390X_AES_XTS_CTX EVP_AES_XTS_CTX
-# define S390X_aes_128_xts_CAPABLE 1 /* checked by callee */
-# define S390X_aes_256_xts_CAPABLE 1
+# define S390X_aes_128_xts_CAPABLE 0 /* checked by callee */
+# define S390X_aes_256_xts_CAPABLE 0
# define s390x_aes_xts_init_key aes_xts_init_key
static int s390x_aes_xts_init_key(EVP_CIPHER_CTX *ctx,
@@ -2134,9 +2140,10 @@ static int s390x_aes_ccm_tls_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
const unsigned char *in, size_t len)
{
S390X_AES_CCM_CTX *cctx = EVP_C_DATA(S390X_AES_CCM_CTX, ctx);
- unsigned char *ivec = EVP_CIPHER_CTX_iv_noconst(ctx);
+ const unsigned char *ivec = EVP_CIPHER_CTX_iv(ctx);
unsigned char *buf = EVP_CIPHER_CTX_buf_noconst(ctx);
const int enc = EVP_CIPHER_CTX_encrypting(ctx);
+ unsigned char iv[EVP_MAX_IV_LENGTH];
if (out != in
|| len < (EVP_CCM_TLS_EXPLICIT_IV_LEN + (size_t)cctx->aes.ccm.m))
@@ -2152,8 +2159,9 @@ static int s390x_aes_ccm_tls_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
* Get explicit iv (sequence number). We already have fixed iv
* (server/client_write_iv) here.
*/
- memcpy(ivec + EVP_CCM_TLS_FIXED_IV_LEN, in, EVP_CCM_TLS_EXPLICIT_IV_LEN);
- s390x_aes_ccm_setiv(cctx, ivec, len);
+ memcpy(iv, ivec, sizeof(iv));
+ memcpy(iv + EVP_CCM_TLS_FIXED_IV_LEN, in, EVP_CCM_TLS_EXPLICIT_IV_LEN);
+ s390x_aes_ccm_setiv(cctx, iv, len);
/* Process aad (sequence number|type|version|length) */
s390x_aes_ccm_aad(cctx, buf, cctx->aes.ccm.tls_aad_len);
@@ -2180,42 +2188,35 @@ static int s390x_aes_ccm_tls_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
}
/*-
- * Set key and flag field and/or iv. Returns 1 if successful. Otherwise 0 is
- * returned.
+ * Set key or iv or enc/dec. Returns 1 if successful.
+ * Otherwise 0 is returned.
*/
static int s390x_aes_ccm_init_key(EVP_CIPHER_CTX *ctx,
const unsigned char *key,
const unsigned char *iv, int enc)
{
S390X_AES_CCM_CTX *cctx = EVP_C_DATA(S390X_AES_CCM_CTX, ctx);
- unsigned char *ivec;
- int keylen;
+ const int keylen = EVP_CIPHER_CTX_key_length(ctx);
+ unsigned char *ivec = EVP_CIPHER_CTX_iv_noconst(ctx);
- if (iv == NULL && key == NULL)
- return 1;
+ cctx->aes.ccm.fc = S390X_AES_FC(keylen);
if (key != NULL) {
- keylen = EVP_CIPHER_CTX_key_length(ctx);
- cctx->aes.ccm.fc = S390X_AES_FC(keylen);
memcpy(cctx->aes.ccm.kmac_param.k, key, keylen);
-
- /* Store encoded m and l. */
- cctx->aes.ccm.nonce.b[0] = ((cctx->aes.ccm.l - 1) & 0x7)
- | (((cctx->aes.ccm.m - 2) >> 1) & 0x7) << 3;
- memset(cctx->aes.ccm.nonce.b + 1, 0,
- sizeof(cctx->aes.ccm.nonce.b));
- cctx->aes.ccm.blocks = 0;
-
cctx->aes.ccm.key_set = 1;
}
-
if (iv != NULL) {
- ivec = EVP_CIPHER_CTX_iv_noconst(ctx);
memcpy(ivec, iv, 15 - cctx->aes.ccm.l);
-
cctx->aes.ccm.iv_set = 1;
}
+ /* Store encoded m and l. */
+ cctx->aes.ccm.nonce.b[0] = ((cctx->aes.ccm.l - 1) & 0x7)
+ | (((cctx->aes.ccm.m - 2) >> 1) & 0x7) << 3;
+ memset(cctx->aes.ccm.nonce.b + 1, 0, sizeof(cctx->aes.ccm.nonce.b) - 1);
+
+ cctx->aes.ccm.blocks = 0;
+ cctx->aes.ccm.len_set = 0;
return 1;
}
@@ -2230,8 +2231,9 @@ static int s390x_aes_ccm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
{
S390X_AES_CCM_CTX *cctx = EVP_C_DATA(S390X_AES_CCM_CTX, ctx);
const int enc = EVP_CIPHER_CTX_encrypting(ctx);
+ const unsigned char *ivec = EVP_CIPHER_CTX_iv(ctx);
+ unsigned char *buf;
int rv;
- unsigned char *buf, *ivec;
if (!cctx->aes.ccm.key_set)
return -1;
@@ -2253,7 +2255,6 @@ static int s390x_aes_ccm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
if (out == NULL) {
/* Update(): Pass message length. */
if (in == NULL) {
- ivec = EVP_CIPHER_CTX_iv_noconst(ctx);
s390x_aes_ccm_setiv(cctx, ivec, len);
cctx->aes.ccm.len_set = 1;
@@ -2279,7 +2280,6 @@ static int s390x_aes_ccm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
* In case message length was not previously set explicitly via
* Update(), set it now.
*/
- ivec = EVP_CIPHER_CTX_iv_noconst(ctx);
s390x_aes_ccm_setiv(cctx, ivec, len);
cctx->aes.ccm.len_set = 1;
@@ -2304,9 +2304,6 @@ static int s390x_aes_ccm_cipher(EVP_CIPHER_CTX *ctx, unsigned char *out,
if (rv == -1)
OPENSSL_cleanse(out, len);
- cctx->aes.ccm.iv_set = 0;
- cctx->aes.ccm.tag_set = 0;
- cctx->aes.ccm.len_set = 0;
return rv;
}
}
@@ -2414,9 +2411,6 @@ static int s390x_aes_ccm_ctrl(EVP_CIPHER_CTX *c, int type, int arg, void *ptr)
return 0;
memcpy(ptr, cctx->aes.ccm.kmac_param.icv.b, cctx->aes.ccm.m);
- cctx->aes.ccm.tag_set = 0;
- cctx->aes.ccm.iv_set = 0;
- cctx->aes.ccm.len_set = 0;
return 1;
case EVP_CTRL_COPY:
@@ -2453,7 +2447,7 @@ static const EVP_CIPHER s390x_aes_##keylen##_##mode = { \
nid##_##keylen##_##nmode,blocksize, \
keylen / 8, \
ivlen, \
- flags | EVP_CIPH_##MODE##_MODE, \
+ flags | EVP_CIPH_ALWAYS_CALL_INIT | EVP_CIPH_##MODE##_MODE, \
s390x_aes_##mode##_init_key, \
s390x_aes_##mode##_cipher, \
NULL, \
@@ -2490,7 +2484,7 @@ static const EVP_CIPHER s390x_aes_##keylen##_##mode = { \
blocksize, \
(EVP_CIPH_##MODE##_MODE == EVP_CIPH_XTS_MODE ? 2 : 1) * keylen / 8, \
ivlen, \
- flags | EVP_CIPH_##MODE##_MODE, \
+ flags | EVP_CIPH_ALWAYS_CALL_INIT | EVP_CIPH_##MODE##_MODE, \
s390x_aes_##mode##_init_key, \
s390x_aes_##mode##_cipher, \
s390x_aes_##mode##_cleanup, \
diff --git a/crypto/evp/e_camellia.c b/crypto/evp/e_camellia.c
index 502d6936..f8c01980 100644
--- a/crypto/evp/e_camellia.c
+++ b/crypto/evp/e_camellia.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -55,16 +55,16 @@ void cmll_t4_decrypt(const unsigned char *in, unsigned char *out,
void cmll128_t4_cbc_encrypt(const unsigned char *in, unsigned char *out,
size_t len, const CAMELLIA_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void cmll128_t4_cbc_decrypt(const unsigned char *in, unsigned char *out,
size_t len, const CAMELLIA_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void cmll256_t4_cbc_encrypt(const unsigned char *in, unsigned char *out,
size_t len, const CAMELLIA_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void cmll256_t4_cbc_decrypt(const unsigned char *in, unsigned char *out,
size_t len, const CAMELLIA_KEY *key,
- unsigned char *ivec);
+ unsigned char *ivec, int /*unused*/);
void cmll128_t4_ctr32_encrypt(const unsigned char *in, unsigned char *out,
size_t blocks, const CAMELLIA_KEY *key,
unsigned char *ivec);
diff --git a/crypto/evp/evp_enc.c b/crypto/evp/evp_enc.c
index e3c165d4..d835968f 100644
--- a/crypto/evp/evp_enc.c
+++ b/crypto/evp/evp_enc.c
@@ -85,7 +85,11 @@ int EVP_CipherInit_ex(EVP_CIPHER_CTX *ctx, const EVP_CIPHER *cipher,
* previous check attempted to avoid this if the same ENGINE and
* EVP_CIPHER could be used).
*/
- if (ctx->cipher) {
+ if (ctx->cipher
+#ifndef OPENSSL_NO_ENGINE
+ || ctx->engine
+#endif
+ || ctx->cipher_data) {
unsigned long flags = ctx->flags;
EVP_CIPHER_CTX_reset(ctx);
/* Restore encrypt and flags */
@@ -105,11 +109,7 @@ int EVP_CipherInit_ex(EVP_CIPHER_CTX *ctx, const EVP_CIPHER *cipher,
/* There's an ENGINE for this job ... (apparently) */
const EVP_CIPHER *c = ENGINE_get_cipher(impl, cipher->nid);
if (!c) {
- /*
- * One positive side-effect of US's export control history,
- * is that we should at least be able to avoid using US
- * misspellings of "initialisation"?
- */
+ ENGINE_finish(impl);
EVPerr(EVP_F_EVP_CIPHERINIT_EX, EVP_R_INITIALIZATION_ERROR);
return 0;
}
diff --git a/crypto/evp/p_lib.c b/crypto/evp/p_lib.c
index 9f1a485a..1f36cb21 100644
--- a/crypto/evp/p_lib.c
+++ b/crypto/evp/p_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -212,10 +212,15 @@ static int pkey_set_type(EVP_PKEY *pkey, ENGINE *e, int type, const char *str,
}
if (pkey) {
pkey->ameth = ameth;
- pkey->engine = e;
-
pkey->type = pkey->ameth->pkey_id;
pkey->save_type = type;
+# ifndef OPENSSL_NO_ENGINE
+ if (eptr == NULL && e != NULL && !ENGINE_init(e)) {
+ EVPerr(EVP_F_PKEY_SET_TYPE, EVP_R_INITIALIZATION_ERROR);
+ return 0;
+ }
+# endif
+ pkey->engine = e;
}
return 1;
}
@@ -520,7 +525,7 @@ int EVP_PKEY_set1_EC_KEY(EVP_PKEY *pkey, EC_KEY *key)
EC_KEY *EVP_PKEY_get0_EC_KEY(EVP_PKEY *pkey)
{
- if (pkey->type != EVP_PKEY_EC) {
+ if (EVP_PKEY_base_id(pkey) != EVP_PKEY_EC) {
EVPerr(EVP_F_EVP_PKEY_GET0_EC_KEY, EVP_R_EXPECTING_A_EC_KEY);
return NULL;
}
diff --git a/crypto/hmac/hm_ameth.c b/crypto/hmac/hm_ameth.c
index 638f61b5..f871e4fe 100644
--- a/crypto/hmac/hm_ameth.c
+++ b/crypto/hmac/hm_ameth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2007-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -47,7 +47,8 @@ static int hmac_pkey_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
static int hmac_pkey_public_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
{
- return ASN1_OCTET_STRING_cmp(EVP_PKEY_get0(a), EVP_PKEY_get0(b));
+ /* the ameth pub_cmp must return 1 on match, 0 on mismatch */
+ return ASN1_OCTET_STRING_cmp(EVP_PKEY_get0(a), EVP_PKEY_get0(b)) == 0;
}
static int hmac_set_priv_key(EVP_PKEY *pkey, const unsigned char *priv,
diff --git a/crypto/lhash/lhash.c b/crypto/lhash/lhash.c
index 9dc887d9..60322497 100644
--- a/crypto/lhash/lhash.c
+++ b/crypto/lhash/lhash.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -343,7 +343,8 @@ unsigned long OPENSSL_LH_strhash(const char *c)
v = n | (*c);
n += 0x100;
r = (int)((v >> 2) ^ v) & 0x0f;
- ret = (ret << r) | (ret >> (32 - r));
+ /* cast to uint64_t to avoid 32 bit shift of 32 bit value */
+ ret = (ret << r) | (unsigned long)((uint64_t)ret >> (32 - r));
ret &= 0xFFFFFFFFL;
ret ^= v * v;
c++;
@@ -364,7 +365,8 @@ unsigned long openssl_lh_strcasehash(const char *c)
for (n = 0x100; *c != '\0'; n += 0x100) {
v = n | ossl_tolower(*c);
r = (int)((v >> 2) ^ v) & 0x0f;
- ret = (ret << r) | (ret >> (32 - r));
+ /* cast to uint64_t to avoid 32 bit shift of 32 bit value */
+ ret = (ret << r) | (unsigned long)((uint64_t)ret >> (32 - r));
ret &= 0xFFFFFFFFL;
ret ^= v * v;
c++;
diff --git a/crypto/objects/o_names.c b/crypto/objects/o_names.c
index 979d8357..872676ba 100644
--- a/crypto/objects/o_names.c
+++ b/crypto/objects/o_names.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1998-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -67,8 +67,14 @@ static CRYPTO_ONCE init = CRYPTO_ONCE_STATIC_INIT;
DEFINE_RUN_ONCE_STATIC(o_names_init)
{
CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_DISABLE);
- names_lh = lh_OBJ_NAME_new(obj_name_hash, obj_name_cmp);
+ names_lh = NULL;
obj_lock = CRYPTO_THREAD_lock_new();
+ if (obj_lock != NULL)
+ names_lh = lh_OBJ_NAME_new(obj_name_hash, obj_name_cmp);
+ if (names_lh == NULL) {
+ CRYPTO_THREAD_lock_free(obj_lock);
+ obj_lock = NULL;
+ }
CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ENABLE);
return names_lh != NULL && obj_lock != NULL;
}
@@ -217,10 +223,8 @@ int OBJ_NAME_add(const char *name, int type, const char *data)
type &= ~OBJ_NAME_ALIAS;
onp = OPENSSL_malloc(sizeof(*onp));
- if (onp == NULL) {
- /* ERROR */
- goto unlock;
- }
+ if (onp == NULL)
+ return 0;
onp->name = name;
onp->alias = alias;
diff --git a/crypto/objects/obj_dat.c b/crypto/objects/obj_dat.c
index 46006fe6..7e8de727 100644
--- a/crypto/objects/obj_dat.c
+++ b/crypto/objects/obj_dat.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -228,9 +228,10 @@ ASN1_OBJECT *OBJ_nid2obj(int n)
return NULL;
}
return (ASN1_OBJECT *)&(nid_objs[n]);
- } else if (added == NULL)
+ } else if (added == NULL) {
+ OBJerr(OBJ_F_OBJ_NID2OBJ, OBJ_R_UNKNOWN_NID);
return NULL;
- else {
+ } else {
ad.type = ADDED_NID;
ad.obj = &ob;
ob.nid = n;
diff --git a/crypto/objects/obj_dat.h b/crypto/objects/obj_dat.h
index 24b49a2d..63bf69e4 100644
--- a/crypto/objects/obj_dat.h
+++ b/crypto/objects/obj_dat.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/objects/obj_dat.pl
*
- * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
diff --git a/crypto/objects/obj_xref.h b/crypto/objects/obj_xref.h
index 5c3561ab..5ef094bb 100644
--- a/crypto/objects/obj_xref.h
+++ b/crypto/objects/obj_xref.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by objxref.pl
*
- * Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1998-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
diff --git a/crypto/pem/pem_lib.c b/crypto/pem/pem_lib.c
index a2632211..2de09359 100644
--- a/crypto/pem/pem_lib.c
+++ b/crypto/pem/pem_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -899,18 +899,13 @@ err:
int PEM_read_bio_ex(BIO *bp, char **name_out, char **header,
unsigned char **data, long *len_out, unsigned int flags)
{
- EVP_ENCODE_CTX *ctx = EVP_ENCODE_CTX_new();
+ EVP_ENCODE_CTX *ctx = NULL;
const BIO_METHOD *bmeth;
BIO *headerB = NULL, *dataB = NULL;
char *name = NULL;
int len, taillen, headerlen, ret = 0;
BUF_MEM * buf_mem;
- if (ctx == NULL) {
- PEMerr(PEM_F_PEM_READ_BIO_EX, ERR_R_MALLOC_FAILURE);
- return 0;
- }
-
*len_out = 0;
*name_out = *header = NULL;
*data = NULL;
@@ -933,9 +928,20 @@ int PEM_read_bio_ex(BIO *bp, char **name_out, char **header,
if (!get_header_and_data(bp, &headerB, &dataB, name, flags))
goto end;
- EVP_DecodeInit(ctx);
BIO_get_mem_ptr(dataB, &buf_mem);
len = buf_mem->length;
+
+ /* There was no data in the PEM file */
+ if (len == 0)
+ goto end;
+
+ ctx = EVP_ENCODE_CTX_new();
+ if (ctx == NULL) {
+ PEMerr(PEM_F_PEM_READ_BIO_EX, ERR_R_MALLOC_FAILURE);
+ goto end;
+ }
+
+ EVP_DecodeInit(ctx);
if (EVP_DecodeUpdate(ctx, (unsigned char*)buf_mem->data, &len,
(unsigned char*)buf_mem->data, len) < 0
|| EVP_DecodeFinal(ctx, (unsigned char*)&(buf_mem->data[len]),
@@ -946,9 +952,6 @@ int PEM_read_bio_ex(BIO *bp, char **name_out, char **header,
len += taillen;
buf_mem->length = len;
- /* There was no data in the PEM file; avoid malloc(0). */
- if (len == 0)
- goto end;
headerlen = BIO_get_mem_data(headerB, NULL);
*header = pem_malloc(headerlen + 1, flags);
*data = pem_malloc(len, flags);
diff --git a/crypto/pkcs12/p12_key.c b/crypto/pkcs12/p12_key.c
index ab31a612..03eda266 100644
--- a/crypto/pkcs12/p12_key.c
+++ b/crypto/pkcs12/p12_key.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -101,7 +101,7 @@ int PKCS12_key_gen_uni(unsigned char *pass, int passlen, unsigned char *salt,
#endif
v = EVP_MD_block_size(md_type);
u = EVP_MD_size(md_type);
- if (u < 0 || v <= 0)
+ if (u <= 0 || v <= 0)
goto err;
D = OPENSSL_malloc(v);
Ai = OPENSSL_malloc(u);
diff --git a/crypto/poly1305/poly1305_ameth.c b/crypto/poly1305/poly1305_ameth.c
index 0c8a91dc..0dddf796 100644
--- a/crypto/poly1305/poly1305_ameth.c
+++ b/crypto/poly1305/poly1305_ameth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2007-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -43,7 +43,7 @@ static int poly1305_pkey_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
static int poly1305_pkey_public_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
{
- return ASN1_OCTET_STRING_cmp(EVP_PKEY_get0(a), EVP_PKEY_get0(b));
+ return ASN1_OCTET_STRING_cmp(EVP_PKEY_get0(a), EVP_PKEY_get0(b)) == 0;
}
static int poly1305_set_priv_key(EVP_PKEY *pkey, const unsigned char *priv,
diff --git a/crypto/ppccap.c b/crypto/ppccap.c
index e5115646..eeaa47cc 100644
--- a/crypto/ppccap.c
+++ b/crypto/ppccap.c
@@ -211,6 +211,12 @@ size_t OPENSSL_instrument_bus2(unsigned int *out, size_t cnt, size_t max)
# if __GLIBC_PREREQ(2, 16)
# include <sys/auxv.h>
# define OSSL_IMPLEMENT_GETAUXVAL
+# elif defined(__ANDROID_API__)
+/* see https://developer.android.google.cn/ndk/guides/cpu-features */
+# if __ANDROID_API__ >= 18
+# include <sys/auxv.h>
+# define OSSL_IMPLEMENT_GETAUXVAL
+# endif
# endif
#endif
diff --git a/crypto/rand/rand_unix.c b/crypto/rand/rand_unix.c
index ec6be791..0f452510 100644
--- a/crypto/rand/rand_unix.c
+++ b/crypto/rand/rand_unix.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -378,6 +378,11 @@ static ssize_t syscall_random(void *buf, size_t buflen)
if (errno != ENOSYS)
return -1;
}
+# elif defined(OPENSSL_APPLE_CRYPTO_RANDOM)
+ if (CCRandomGenerateBytes(buf, buflen) == kCCSuccess)
+ return (ssize_t)buflen;
+
+ return -1;
# else
union {
void *p;
diff --git a/crypto/rand/rand_vms.c b/crypto/rand/rand_vms.c
index 61c2f102..a00f83bc 100644
--- a/crypto/rand/rand_vms.c
+++ b/crypto/rand/rand_vms.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -484,7 +484,7 @@ int rand_pool_add_nonce_data(RAND_POOL *pool)
struct {
pid_t pid;
CRYPTO_THREAD_ID tid;
- uint64_t time;
+ unsigned __int64 time;
} data = { 0 };
/*
@@ -582,7 +582,7 @@ int rand_pool_add_additional_data(RAND_POOL *pool)
{
struct {
CRYPTO_THREAD_ID tid;
- uint64_t time;
+ unsigned __int64 time;
} data = { 0 };
/*
diff --git a/crypto/rsa/rsa_prn.c b/crypto/rsa/rsa_prn.c
index b5f4bce2..23df448a 100644
--- a/crypto/rsa/rsa_prn.c
+++ b/crypto/rsa/rsa_prn.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -34,9 +34,11 @@ int RSA_print(BIO *bp, const RSA *x, int off)
EVP_PKEY *pk;
int ret;
pk = EVP_PKEY_new();
- if (pk == NULL || !EVP_PKEY_set1_RSA(pk, (RSA *)x))
+ if (pk == NULL)
return 0;
- ret = EVP_PKEY_print_private(bp, pk, off, NULL);
+ ret = EVP_PKEY_set1_RSA(pk, (RSA *)x);
+ if (ret)
+ ret = EVP_PKEY_print_private(bp, pk, off, NULL);
EVP_PKEY_free(pk);
return ret;
}
diff --git a/crypto/siphash/siphash_ameth.c b/crypto/siphash/siphash_ameth.c
index 2da6dfec..7fce7639 100644
--- a/crypto/siphash/siphash_ameth.c
+++ b/crypto/siphash/siphash_ameth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2007-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -44,7 +44,7 @@ static int siphash_pkey_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
static int siphash_pkey_public_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
{
- return ASN1_OCTET_STRING_cmp(EVP_PKEY_get0(a), EVP_PKEY_get0(b));
+ return ASN1_OCTET_STRING_cmp(EVP_PKEY_get0(a), EVP_PKEY_get0(b)) == 0;
}
static int siphash_set_priv_key(EVP_PKEY *pkey, const unsigned char *priv,
diff --git a/crypto/sm2/sm2_crypt.c b/crypto/sm2/sm2_crypt.c
index ef505f64..83b97f4e 100644
--- a/crypto/sm2/sm2_crypt.c
+++ b/crypto/sm2/sm2_crypt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2017 Ribose Inc. All Rights Reserved.
* Ported from Ribose contributions from Botan.
*
@@ -61,29 +61,20 @@ static size_t ec_field_size(const EC_GROUP *group)
return field_size;
}
-int sm2_plaintext_size(const EC_KEY *key, const EVP_MD *digest, size_t msg_len,
- size_t *pt_size)
+int sm2_plaintext_size(const unsigned char *ct, size_t ct_size, size_t *pt_size)
{
- const size_t field_size = ec_field_size(EC_KEY_get0_group(key));
- const int md_size = EVP_MD_size(digest);
- size_t overhead;
+ struct SM2_Ciphertext_st *sm2_ctext = NULL;
- if (md_size < 0) {
- SM2err(SM2_F_SM2_PLAINTEXT_SIZE, SM2_R_INVALID_DIGEST);
- return 0;
- }
- if (field_size == 0) {
- SM2err(SM2_F_SM2_PLAINTEXT_SIZE, SM2_R_INVALID_FIELD);
- return 0;
- }
+ sm2_ctext = d2i_SM2_Ciphertext(NULL, &ct, ct_size);
- overhead = 10 + 2 * field_size + (size_t)md_size;
- if (msg_len <= overhead) {
+ if (sm2_ctext == NULL) {
SM2err(SM2_F_SM2_PLAINTEXT_SIZE, SM2_R_INVALID_ENCODING);
return 0;
}
- *pt_size = msg_len - overhead;
+ *pt_size = sm2_ctext->C2->length;
+ SM2_Ciphertext_free(sm2_ctext);
+
return 1;
}
@@ -303,6 +294,10 @@ int sm2_decrypt(const EC_KEY *key,
C2 = sm2_ctext->C2->data;
C3 = sm2_ctext->C3->data;
msg_len = sm2_ctext->C2->length;
+ if (*ptext_len < (size_t)msg_len) {
+ SM2err(SM2_F_SM2_DECRYPT, SM2_R_BUFFER_TOO_SMALL);
+ goto done;
+ }
ctx = BN_CTX_new();
if (ctx == NULL) {
diff --git a/crypto/sm2/sm2_pmeth.c b/crypto/sm2/sm2_pmeth.c
index b42a14c3..0e722b91 100644
--- a/crypto/sm2/sm2_pmeth.c
+++ b/crypto/sm2/sm2_pmeth.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -151,7 +151,7 @@ static int pkey_sm2_decrypt(EVP_PKEY_CTX *ctx,
const EVP_MD *md = (dctx->md == NULL) ? EVP_sm3() : dctx->md;
if (out == NULL) {
- if (!sm2_plaintext_size(ec, md, inlen, outlen))
+ if (!sm2_plaintext_size(in, inlen, outlen))
return -1;
else
return 1;
diff --git a/crypto/sparcv9cap.c b/crypto/sparcv9cap.c
index ff1a983a..b3cb3d4b 100644
--- a/crypto/sparcv9cap.c
+++ b/crypto/sparcv9cap.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2005-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -16,6 +16,7 @@
#include <unistd.h>
#include <openssl/bn.h>
#include "internal/cryptlib.h"
+#include "bn/bn_local.h" /* for definition of bn_mul_mont */
#include "sparc_arch.h"
diff --git a/crypto/srp/srp_vfy.c b/crypto/srp/srp_vfy.c
index 3dd2ab05..394e1180 100644
--- a/crypto/srp/srp_vfy.c
+++ b/crypto/srp/srp_vfy.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2004-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2004-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2004, EdelKey Project. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -684,7 +684,7 @@ int SRP_create_verifier_BN(const char *user, const char *pass, BIGNUM **salt,
BIGNUM *x = NULL;
BN_CTX *bn_ctx = BN_CTX_new();
unsigned char tmp2[MAX_LEN];
- BIGNUM *salttmp = NULL;
+ BIGNUM *salttmp = NULL, *verif;
if ((user == NULL) ||
(pass == NULL) ||
@@ -707,17 +707,18 @@ int SRP_create_verifier_BN(const char *user, const char *pass, BIGNUM **salt,
if (x == NULL)
goto err;
- *verifier = BN_new();
- if (*verifier == NULL)
+ verif = BN_new();
+ if (verif == NULL)
goto err;
- if (!BN_mod_exp(*verifier, g, x, N, bn_ctx)) {
- BN_clear_free(*verifier);
+ if (!BN_mod_exp(verif, g, x, N, bn_ctx)) {
+ BN_clear_free(verif);
goto err;
}
result = 1;
*salt = salttmp;
+ *verifier = verif;
err:
if (salt != NULL && *salt != salttmp)
diff --git a/crypto/store/loader_file.c b/crypto/store/loader_file.c
index 9c9e3bd0..32e7b9f6 100644
--- a/crypto/store/loader_file.c
+++ b/crypto/store/loader_file.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -370,6 +370,7 @@ static OSSL_STORE_INFO *try_decode_PKCS8Encrypted(const char *pem_name,
mem->data = (char *)new_data;
mem->max = mem->length = (size_t)new_data_len;
X509_SIG_free(p8);
+ p8 = NULL;
store_info = ossl_store_info_new_EMBEDDED(PEM_STRING_PKCS8INF, mem);
if (store_info == NULL) {
diff --git a/crypto/ts/ts_rsp_verify.c b/crypto/ts/ts_rsp_verify.c
index c2e7abd6..7fe3d27e 100644
--- a/crypto/ts/ts_rsp_verify.c
+++ b/crypto/ts/ts_rsp_verify.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -612,6 +612,7 @@ static int ts_compute_imprint(BIO *data, TS_TST_INFO *tst_info,
err:
EVP_MD_CTX_free(md_ctx);
X509_ALGOR_free(*md_alg);
+ *md_alg = NULL;
OPENSSL_free(*imprint);
*imprint_len = 0;
*imprint = 0;
diff --git a/crypto/ts/ts_verify_ctx.c b/crypto/ts/ts_verify_ctx.c
index 1e80e0d3..b504649a 100644
--- a/crypto/ts/ts_verify_ctx.c
+++ b/crypto/ts/ts_verify_ctx.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2006-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -70,6 +70,7 @@ STACK_OF(X509) *TS_VERIFY_CTS_set_certs(TS_VERIFY_CTX *ctx,
unsigned char *TS_VERIFY_CTX_set_imprint(TS_VERIFY_CTX *ctx,
unsigned char *hexstr, long len)
{
+ OPENSSL_free(ctx->imprint);
ctx->imprint = hexstr;
ctx->imprint_len = len;
return ctx->imprint;
@@ -126,6 +127,8 @@ TS_VERIFY_CTX *TS_REQ_to_TS_VERIFY_CTX(TS_REQ *req, TS_VERIFY_CTX *ctx)
goto err;
msg = imprint->hashed_msg;
ret->imprint_len = ASN1_STRING_length(msg);
+ if (ret->imprint_len <= 0)
+ goto err;
if ((ret->imprint = OPENSSL_malloc(ret->imprint_len)) == NULL)
goto err;
memcpy(ret->imprint, ASN1_STRING_get0_data(msg), ret->imprint_len);
diff --git a/crypto/ui/ui_openssl.c b/crypto/ui/ui_openssl.c
index 9526c165..0f630a5b 100644
--- a/crypto/ui/ui_openssl.c
+++ b/crypto/ui/ui_openssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -572,6 +572,8 @@ static int echo_console(UI *ui)
static int close_console(UI *ui)
{
+ int ret = 1;
+
if (tty_in != stdin)
fclose(tty_in);
if (tty_out != stderr)
@@ -584,12 +586,12 @@ static int close_console(UI *ui)
BIO_snprintf(tmp_num, sizeof(tmp_num) - 1, "%%X%08X", status);
UIerr(UI_F_CLOSE_CONSOLE, UI_R_SYSDASSGN_ERROR);
ERR_add_error_data(2, "status=", tmp_num);
- return 0;
+ ret = 0;
}
# endif
CRYPTO_THREAD_unlock(ui->lock);
- return 1;
+ return ret;
}
# if !defined(OPENSSL_SYS_WINCE)
diff --git a/crypto/uid.c b/crypto/uid.c
index 65b11710..a9eae368 100644
--- a/crypto/uid.c
+++ b/crypto/uid.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -17,7 +17,7 @@ int OPENSSL_issetugid(void)
return 0;
}
-#elif defined(__OpenBSD__) || (defined(__FreeBSD__) && __FreeBSD__ > 2) || defined(__DragonFly__)
+#elif defined(__OpenBSD__) || (defined(__FreeBSD__) && __FreeBSD__ > 2) || defined(__DragonFly__) || (defined(__GLIBC__) && defined(__FreeBSD_kernel__))
# include OPENSSL_UNISTD
@@ -36,6 +36,12 @@ int OPENSSL_issetugid(void)
# include <sys/auxv.h>
# define OSSL_IMPLEMENT_GETAUXVAL
# endif
+# elif defined(__ANDROID_API__)
+/* see https://developer.android.google.cn/ndk/guides/cpu-features */
+# if __ANDROID_API__ >= 18
+# include <sys/auxv.h>
+# define OSSL_IMPLEMENT_GETAUXVAL
+# endif
# endif
int OPENSSL_issetugid(void)
diff --git a/crypto/x509/t_x509.c b/crypto/x509/t_x509.c
index 12d807f7..ece987a6 100644
--- a/crypto/x509/t_x509.c
+++ b/crypto/x509/t_x509.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -365,9 +365,9 @@ int X509_aux_print(BIO *out, X509 *x, int indent)
BIO_puts(out, "\n");
} else
BIO_printf(out, "%*sNo Rejected Uses.\n", indent, "");
- alias = X509_alias_get0(x, NULL);
+ alias = X509_alias_get0(x, &i);
if (alias)
- BIO_printf(out, "%*sAlias: %s\n", indent, "", alias);
+ BIO_printf(out, "%*sAlias: %.*s\n", indent, "", i, alias);
keyid = X509_keyid_get0(x, &keyidlen);
if (keyid) {
BIO_printf(out, "%*sKey Id: ", indent, "");
diff --git a/crypto/x509/x509_vfy.c b/crypto/x509/x509_vfy.c
index 20a36e76..b18489f6 100644
--- a/crypto/x509/x509_vfy.c
+++ b/crypto/x509/x509_vfy.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -2201,6 +2201,12 @@ int X509_STORE_CTX_purpose_inherit(X509_STORE_CTX *ctx, int def_purpose,
/* If purpose not set use default */
if (!purpose)
purpose = def_purpose;
+ /*
+ * If purpose is set but we don't have a default then set the default to
+ * the current purpose
+ */
+ else if (def_purpose == 0)
+ def_purpose = purpose;
/* If we have a purpose then check it is valid */
if (purpose) {
X509_PURPOSE *ptmp;
@@ -2213,11 +2219,6 @@ int X509_STORE_CTX_purpose_inherit(X509_STORE_CTX *ctx, int def_purpose,
ptmp = X509_PURPOSE_get0(idx);
if (ptmp->trust == X509_TRUST_DEFAULT) {
idx = X509_PURPOSE_get_by_id(def_purpose);
- /*
- * XXX: In the two callers above def_purpose is always 0, which is
- * not a known value, so idx will always be -1. How is the
- * X509_TRUST_DEFAULT case actually supposed to be handled?
- */
if (idx == -1) {
X509err(X509_F_X509_STORE_CTX_PURPOSE_INHERIT,
X509_R_UNKNOWN_PURPOSE_ID);
@@ -2924,6 +2925,26 @@ static int get_issuer(X509 **issuer, X509_STORE_CTX *ctx, X509 *cert)
return ok;
}
+static int augment_stack(STACK_OF(X509) *src, STACK_OF(X509) **dstPtr)
+{
+ if (src) {
+ STACK_OF(X509) *dst;
+ int i;
+
+ if (*dstPtr == NULL)
+ return ((*dstPtr = sk_X509_dup(src)) != NULL);
+
+ for (dst = *dstPtr, i = 0; i < sk_X509_num(src); ++i) {
+ if (!sk_X509_push(dst, sk_X509_value(src, i))) {
+ sk_X509_free(dst);
+ *dstPtr = NULL;
+ return 0;
+ }
+ }
+ }
+ return 1;
+}
+
static int build_chain(X509_STORE_CTX *ctx)
{
SSL_DANE *dane = ctx->dane;
@@ -2967,18 +2988,7 @@ static int build_chain(X509_STORE_CTX *ctx)
}
/*
- * Shallow-copy the stack of untrusted certificates (with TLS, this is
- * typically the content of the peer's certificate message) so can make
- * multiple passes over it, while free to remove elements as we go.
- */
- if (ctx->untrusted && (sktmp = sk_X509_dup(ctx->untrusted)) == NULL) {
- X509err(X509_F_BUILD_CHAIN, ERR_R_MALLOC_FAILURE);
- ctx->error = X509_V_ERR_OUT_OF_MEM;
- return 0;
- }
-
- /*
- * If we got any "DANE-TA(2) Cert(0) Full(0)" trust-anchors from DNS, add
+ * If we got any "Cert(0) Full(0)" issuer certificates from DNS, *prepend*
* them to our working copy of the untrusted certificate stack. Since the
* caller of X509_STORE_CTX_init() may have provided only a leaf cert with
* no corresponding stack of untrusted certificates, we may need to create
@@ -2987,20 +2997,21 @@ static int build_chain(X509_STORE_CTX *ctx)
* containing at least the leaf certificate, but we must be prepared for
* this to change. ]
*/
- if (DANETLS_ENABLED(dane) && dane->certs != NULL) {
- if (sktmp == NULL && (sktmp = sk_X509_new_null()) == NULL) {
- X509err(X509_F_BUILD_CHAIN, ERR_R_MALLOC_FAILURE);
- ctx->error = X509_V_ERR_OUT_OF_MEM;
- return 0;
- }
- for (i = 0; i < sk_X509_num(dane->certs); ++i) {
- if (!sk_X509_push(sktmp, sk_X509_value(dane->certs, i))) {
- sk_X509_free(sktmp);
- X509err(X509_F_BUILD_CHAIN, ERR_R_MALLOC_FAILURE);
- ctx->error = X509_V_ERR_OUT_OF_MEM;
- return 0;
- }
- }
+ if (DANETLS_ENABLED(dane) && !augment_stack(dane->certs, &sktmp)) {
+ X509err(X509_F_BUILD_CHAIN, ERR_R_MALLOC_FAILURE);
+ ctx->error = X509_V_ERR_OUT_OF_MEM;
+ return 0;
+ }
+
+ /*
+ * Shallow-copy the stack of untrusted certificates (with TLS, this is
+ * typically the content of the peer's certificate message) so can make
+ * multiple passes over it, while free to remove elements as we go.
+ */
+ if (!augment_stack(ctx->untrusted, &sktmp)) {
+ X509err(X509_F_BUILD_CHAIN, ERR_R_MALLOC_FAILURE);
+ ctx->error = X509_V_ERR_OUT_OF_MEM;
+ return 0;
}
/*
diff --git a/crypto/x509/x509_vpm.c b/crypto/x509/x509_vpm.c
index 68b681d5..535f169a 100644
--- a/crypto/x509/x509_vpm.c
+++ b/crypto/x509/x509_vpm.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2004-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2004-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -199,7 +199,8 @@ int X509_VERIFY_PARAM_inherit(X509_VERIFY_PARAM *dest,
return 0;
}
- /* Copy the host flags if and only if we're copying the host list */
+ x509_verify_param_copy(hostflags, 0);
+
if (test_x509_verify_param_copy(hosts, NULL)) {
sk_OPENSSL_STRING_pop_free(dest->hosts, str_free);
dest->hosts = NULL;
@@ -208,7 +209,6 @@ int X509_VERIFY_PARAM_inherit(X509_VERIFY_PARAM *dest,
sk_OPENSSL_STRING_deep_copy(src->hosts, str_copy, str_free);
if (dest->hosts == NULL)
return 0;
- dest->hostflags = src->hostflags;
}
}
diff --git a/crypto/x509/x_name.c b/crypto/x509/x_name.c
index aa7f4722..59ac6895 100644
--- a/crypto/x509/x_name.c
+++ b/crypto/x509/x_name.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -217,8 +217,8 @@ static int x509_name_ex_i2d(ASN1_VALUE **val, unsigned char **out,
if (ret < 0)
return ret;
ret = x509_name_canon(a);
- if (ret < 0)
- return ret;
+ if (!ret)
+ return -1;
}
ret = a->bytes->length;
if (out != NULL) {
diff --git a/crypto/x509v3/v3_akey.c b/crypto/x509v3/v3_akey.c
index d9f77043..33b1933d 100644
--- a/crypto/x509v3/v3_akey.c
+++ b/crypto/x509v3/v3_akey.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -39,20 +39,48 @@ static STACK_OF(CONF_VALUE) *i2v_AUTHORITY_KEYID(X509V3_EXT_METHOD *method,
STACK_OF(CONF_VALUE)
*extlist)
{
- char *tmp;
+ char *tmp = NULL;
+ STACK_OF(CONF_VALUE) *origextlist = extlist, *tmpextlist;
+
if (akeyid->keyid) {
tmp = OPENSSL_buf2hexstr(akeyid->keyid->data, akeyid->keyid->length);
- X509V3_add_value("keyid", tmp, &extlist);
+ if (tmp == NULL) {
+ X509V3err(X509V3_F_I2V_AUTHORITY_KEYID, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+ if (!X509V3_add_value("keyid", tmp, &extlist)) {
+ OPENSSL_free(tmp);
+ X509V3err(X509V3_F_I2V_AUTHORITY_KEYID, ERR_R_X509_LIB);
+ goto err;
+ }
OPENSSL_free(tmp);
}
- if (akeyid->issuer)
- extlist = i2v_GENERAL_NAMES(NULL, akeyid->issuer, extlist);
+ if (akeyid->issuer) {
+ tmpextlist = i2v_GENERAL_NAMES(NULL, akeyid->issuer, extlist);
+ if (tmpextlist == NULL) {
+ X509V3err(X509V3_F_I2V_AUTHORITY_KEYID, ERR_R_X509_LIB);
+ goto err;
+ }
+ extlist = tmpextlist;
+ }
if (akeyid->serial) {
tmp = OPENSSL_buf2hexstr(akeyid->serial->data, akeyid->serial->length);
- X509V3_add_value("serial", tmp, &extlist);
+ if (tmp == NULL) {
+ X509V3err(X509V3_F_I2V_AUTHORITY_KEYID, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if (!X509V3_add_value("serial", tmp, &extlist)) {
+ OPENSSL_free(tmp);
+ X509V3err(X509V3_F_I2V_AUTHORITY_KEYID, ERR_R_X509_LIB);
+ goto err;
+ }
OPENSSL_free(tmp);
}
return extlist;
+ err:
+ if (origextlist == NULL)
+ sk_CONF_VALUE_pop_free(extlist, X509V3_conf_free);
+ return NULL;
}
/*-
diff --git a/crypto/x509v3/v3_alt.c b/crypto/x509v3/v3_alt.c
index 4dce0041..7c32d403 100644
--- a/crypto/x509v3/v3_alt.c
+++ b/crypto/x509v3/v3_alt.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -9,6 +9,7 @@
#include <stdio.h>
#include "internal/cryptlib.h"
+#include "crypto/x509.h"
#include <openssl/conf.h>
#include <openssl/x509v3.h>
#include "ext_dat.h"
@@ -99,17 +100,20 @@ STACK_OF(CONF_VALUE) *i2v_GENERAL_NAME(X509V3_EXT_METHOD *method,
break;
case GEN_EMAIL:
- if (!X509V3_add_value_uchar("email", gen->d.ia5->data, &ret))
+ if (!x509v3_add_len_value_uchar("email", gen->d.ia5->data,
+ gen->d.ia5->length, &ret))
return NULL;
break;
case GEN_DNS:
- if (!X509V3_add_value_uchar("DNS", gen->d.ia5->data, &ret))
+ if (!x509v3_add_len_value_uchar("DNS", gen->d.ia5->data,
+ gen->d.ia5->length, &ret))
return NULL;
break;
case GEN_URI:
- if (!X509V3_add_value_uchar("URI", gen->d.ia5->data, &ret))
+ if (!x509v3_add_len_value_uchar("URI", gen->d.ia5->data,
+ gen->d.ia5->length, &ret))
return NULL;
break;
diff --git a/crypto/x509v3/v3_cpols.c b/crypto/x509v3/v3_cpols.c
index 1d12c899..09804b58 100644
--- a/crypto/x509v3/v3_cpols.c
+++ b/crypto/x509v3/v3_cpols.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -422,7 +422,8 @@ static void print_qualifiers(BIO *out, STACK_OF(POLICYQUALINFO) *quals,
qualinfo = sk_POLICYQUALINFO_value(quals, i);
switch (OBJ_obj2nid(qualinfo->pqualid)) {
case NID_id_qt_cps:
- BIO_printf(out, "%*sCPS: %s\n", indent, "",
+ BIO_printf(out, "%*sCPS: %.*s\n", indent, "",
+ qualinfo->d.cpsuri->length,
qualinfo->d.cpsuri->data);
break;
@@ -447,7 +448,8 @@ static void print_notice(BIO *out, USERNOTICE *notice, int indent)
if (notice->noticeref) {
NOTICEREF *ref;
ref = notice->noticeref;
- BIO_printf(out, "%*sOrganization: %s\n", indent, "",
+ BIO_printf(out, "%*sOrganization: %.*s\n", indent, "",
+ ref->organization->length,
ref->organization->data);
BIO_printf(out, "%*sNumber%s: ", indent, "",
sk_ASN1_INTEGER_num(ref->noticenos) > 1 ? "s" : "");
@@ -470,7 +472,8 @@ static void print_notice(BIO *out, USERNOTICE *notice, int indent)
BIO_puts(out, "\n");
}
if (notice->exptext)
- BIO_printf(out, "%*sExplicit Text: %s\n", indent, "",
+ BIO_printf(out, "%*sExplicit Text: %.*s\n", indent, "",
+ notice->exptext->length,
notice->exptext->data);
}
diff --git a/crypto/x509v3/v3_ncons.c b/crypto/x509v3/v3_ncons.c
index 2a7b4f09..60cb4cea 100644
--- a/crypto/x509v3/v3_ncons.c
+++ b/crypto/x509v3/v3_ncons.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2003-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2003-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -63,8 +63,31 @@ ASN1_SEQUENCE(NAME_CONSTRAINTS) = {
IMPLEMENT_ASN1_ALLOC_FUNCTIONS(GENERAL_SUBTREE)
IMPLEMENT_ASN1_ALLOC_FUNCTIONS(NAME_CONSTRAINTS)
+
+#define IA5_OFFSET_LEN(ia5base, offset) \
+ ((ia5base)->length - ((unsigned char *)(offset) - (ia5base)->data))
+
+/* Like memchr but for ASN1_IA5STRING. Additionally you can specify the
+ * starting point to search from
+ */
+# define ia5memchr(str, start, c) memchr(start, c, IA5_OFFSET_LEN(str, start))
+
+/* Like memrrchr but for ASN1_IA5STRING */
+static char *ia5memrchr(ASN1_IA5STRING *str, int c)
+{
+ int i;
+
+ for (i = str->length; i > 0 && str->data[i - 1] != c; i--);
+
+ if (i == 0)
+ return NULL;
+
+ return (char *)&str->data[i - 1];
+}
+
/*
- * We cannot use strncasecmp here because that applies locale specific rules.
+ * We cannot use strncasecmp here because that applies locale specific rules. It
+ * also doesn't work with ASN1_STRINGs that may have embedded NUL characters.
* For example in Turkish 'I' is not the uppercase character for 'i'. We need to
* do a simple ASCII case comparison ignoring the locale (that is why we use
* numeric constants below).
@@ -89,20 +112,12 @@ static int ia5ncasecmp(const char *s1, const char *s2, size_t n)
/* c1 > c2 */
return 1;
- } else if (*s1 == 0) {
- /* If we get here we know that *s2 == 0 too */
- return 0;
}
}
return 0;
}
-static int ia5casecmp(const char *s1, const char *s2)
-{
- return ia5ncasecmp(s1, s2, SIZE_MAX);
-}
-
static void *v2i_NAME_CONSTRAINTS(const X509V3_EXT_METHOD *method,
X509V3_CTX *ctx, STACK_OF(CONF_VALUE) *nval)
{
@@ -337,7 +352,7 @@ static int cn2dnsid(ASN1_STRING *cn, unsigned char **dnsid, size_t *idlen)
--utf8_length;
/* Reject *embedded* NULs */
- if ((size_t)utf8_length != strlen((char *)utf8_value)) {
+ if (memchr(utf8_value, 0, utf8_length) != NULL) {
OPENSSL_free(utf8_value);
return X509_V_ERR_UNSUPPORTED_NAME_SYNTAX;
}
@@ -536,9 +551,14 @@ static int nc_dns(ASN1_IA5STRING *dns, ASN1_IA5STRING *base)
{
char *baseptr = (char *)base->data;
char *dnsptr = (char *)dns->data;
+
/* Empty matches everything */
- if (!*baseptr)
+ if (base->length == 0)
return X509_V_OK;
+
+ if (dns->length < base->length)
+ return X509_V_ERR_PERMITTED_VIOLATION;
+
/*
* Otherwise can add zero or more components on the left so compare RHS
* and if dns is longer and expect '.' as preceding character.
@@ -549,7 +569,7 @@ static int nc_dns(ASN1_IA5STRING *dns, ASN1_IA5STRING *base)
return X509_V_ERR_PERMITTED_VIOLATION;
}
- if (ia5casecmp(baseptr, dnsptr))
+ if (ia5ncasecmp(baseptr, dnsptr, base->length))
return X509_V_ERR_PERMITTED_VIOLATION;
return X509_V_OK;
@@ -560,16 +580,17 @@ static int nc_email(ASN1_IA5STRING *eml, ASN1_IA5STRING *base)
{
const char *baseptr = (char *)base->data;
const char *emlptr = (char *)eml->data;
+ const char *baseat = ia5memrchr(base, '@');
+ const char *emlat = ia5memrchr(eml, '@');
+ size_t basehostlen, emlhostlen;
- const char *baseat = strchr(baseptr, '@');
- const char *emlat = strchr(emlptr, '@');
if (!emlat)
return X509_V_ERR_UNSUPPORTED_NAME_SYNTAX;
/* Special case: initial '.' is RHS match */
- if (!baseat && (*baseptr == '.')) {
+ if (!baseat && base->length > 0 && (*baseptr == '.')) {
if (eml->length > base->length) {
emlptr += eml->length - base->length;
- if (ia5casecmp(baseptr, emlptr) == 0)
+ if (ia5ncasecmp(baseptr, emlptr, base->length) == 0)
return X509_V_OK;
}
return X509_V_ERR_PERMITTED_VIOLATION;
@@ -581,6 +602,9 @@ static int nc_email(ASN1_IA5STRING *eml, ASN1_IA5STRING *base)
if (baseat != baseptr) {
if ((baseat - baseptr) != (emlat - emlptr))
return X509_V_ERR_PERMITTED_VIOLATION;
+ if (memchr(baseptr, 0, baseat - baseptr) ||
+ memchr(emlptr, 0, emlat - emlptr))
+ return X509_V_ERR_UNSUPPORTED_NAME_SYNTAX;
/* Case sensitive match of local part */
if (strncmp(baseptr, emlptr, emlat - emlptr))
return X509_V_ERR_PERMITTED_VIOLATION;
@@ -589,8 +613,10 @@ static int nc_email(ASN1_IA5STRING *eml, ASN1_IA5STRING *base)
baseptr = baseat + 1;
}
emlptr = emlat + 1;
+ basehostlen = IA5_OFFSET_LEN(base, baseptr);
+ emlhostlen = IA5_OFFSET_LEN(eml, emlptr);
/* Just have hostname left to match: case insensitive */
- if (ia5casecmp(baseptr, emlptr))
+ if (basehostlen != emlhostlen || ia5ncasecmp(baseptr, emlptr, emlhostlen))
return X509_V_ERR_PERMITTED_VIOLATION;
return X509_V_OK;
@@ -601,10 +627,14 @@ static int nc_uri(ASN1_IA5STRING *uri, ASN1_IA5STRING *base)
{
const char *baseptr = (char *)base->data;
const char *hostptr = (char *)uri->data;
- const char *p = strchr(hostptr, ':');
+ const char *p = ia5memchr(uri, (char *)uri->data, ':');
int hostlen;
+
/* Check for foo:// and skip past it */
- if (!p || (p[1] != '/') || (p[2] != '/'))
+ if (p == NULL
+ || IA5_OFFSET_LEN(uri, p) < 3
+ || p[1] != '/'
+ || p[2] != '/')
return X509_V_ERR_UNSUPPORTED_NAME_SYNTAX;
hostptr = p + 3;
@@ -612,13 +642,13 @@ static int nc_uri(ASN1_IA5STRING *uri, ASN1_IA5STRING *base)
/* Look for a port indicator as end of hostname first */
- p = strchr(hostptr, ':');
+ p = ia5memchr(uri, hostptr, ':');
/* Otherwise look for trailing slash */
- if (!p)
- p = strchr(hostptr, '/');
+ if (p == NULL)
+ p = ia5memchr(uri, hostptr, '/');
- if (!p)
- hostlen = strlen(hostptr);
+ if (p == NULL)
+ hostlen = IA5_OFFSET_LEN(uri, hostptr);
else
hostlen = p - hostptr;
@@ -626,7 +656,7 @@ static int nc_uri(ASN1_IA5STRING *uri, ASN1_IA5STRING *base)
return X509_V_ERR_UNSUPPORTED_NAME_SYNTAX;
/* Special case: initial '.' is RHS match */
- if (*baseptr == '.') {
+ if (base->length > 0 && *baseptr == '.') {
if (hostlen > base->length) {
p = hostptr + hostlen - base->length;
if (ia5ncasecmp(p, baseptr, base->length) == 0)
diff --git a/crypto/x509v3/v3_pci.c b/crypto/x509v3/v3_pci.c
index 3d124fa6..532d4e19 100644
--- a/crypto/x509v3/v3_pci.c
+++ b/crypto/x509v3/v3_pci.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2004-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2004-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -77,7 +77,8 @@ static int i2r_pci(X509V3_EXT_METHOD *method, PROXY_CERT_INFO_EXTENSION *pci,
i2a_ASN1_OBJECT(out, pci->proxyPolicy->policyLanguage);
BIO_puts(out, "\n");
if (pci->proxyPolicy->policy && pci->proxyPolicy->policy->data)
- BIO_printf(out, "%*sPolicy Text: %s\n", indent, "",
+ BIO_printf(out, "%*sPolicy Text: %.*s\n", indent, "",
+ pci->proxyPolicy->policy->length,
pci->proxyPolicy->policy->data);
return 1;
}
diff --git a/crypto/x509v3/v3_utl.c b/crypto/x509v3/v3_utl.c
index 7281a7b9..a7ff4b4f 100644
--- a/crypto/x509v3/v3_utl.c
+++ b/crypto/x509v3/v3_utl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,6 +12,7 @@
#include "e_os.h"
#include "internal/cryptlib.h"
#include <stdio.h>
+#include <string.h>
#include "crypto/ctype.h"
#include <openssl/conf.h>
#include <openssl/crypto.h>
@@ -34,17 +35,26 @@ static int ipv6_hex(unsigned char *out, const char *in, int inlen);
/* Add a CONF_VALUE name value pair to stack */
-int X509V3_add_value(const char *name, const char *value,
- STACK_OF(CONF_VALUE) **extlist)
+static int x509v3_add_len_value(const char *name, const char *value,
+ size_t vallen, STACK_OF(CONF_VALUE) **extlist)
{
CONF_VALUE *vtmp = NULL;
char *tname = NULL, *tvalue = NULL;
int sk_allocated = (*extlist == NULL);
- if (name && (tname = OPENSSL_strdup(name)) == NULL)
- goto err;
- if (value && (tvalue = OPENSSL_strdup(value)) == NULL)
+ if (name != NULL && (tname = OPENSSL_strdup(name)) == NULL)
goto err;
+ if (value != NULL && vallen > 0) {
+ /*
+ * We tolerate a single trailing NUL character, but otherwise no
+ * embedded NULs
+ */
+ if (memchr(value, 0, vallen - 1) != NULL)
+ goto err;
+ tvalue = OPENSSL_strndup(value, vallen);
+ if (tvalue == NULL)
+ goto err;
+ }
if ((vtmp = OPENSSL_malloc(sizeof(*vtmp))) == NULL)
goto err;
if (sk_allocated && (*extlist = sk_CONF_VALUE_new_null()) == NULL)
@@ -56,7 +66,7 @@ int X509V3_add_value(const char *name, const char *value,
goto err;
return 1;
err:
- X509V3err(X509V3_F_X509V3_ADD_VALUE, ERR_R_MALLOC_FAILURE);
+ X509V3err(X509V3_F_X509V3_ADD_LEN_VALUE, ERR_R_MALLOC_FAILURE);
if (sk_allocated) {
sk_CONF_VALUE_free(*extlist);
*extlist = NULL;
@@ -67,10 +77,26 @@ int X509V3_add_value(const char *name, const char *value,
return 0;
}
+int X509V3_add_value(const char *name, const char *value,
+ STACK_OF(CONF_VALUE) **extlist)
+{
+ return x509v3_add_len_value(name, value,
+ value != NULL ? strlen((const char *)value) : 0,
+ extlist);
+}
+
int X509V3_add_value_uchar(const char *name, const unsigned char *value,
STACK_OF(CONF_VALUE) **extlist)
{
- return X509V3_add_value(name, (const char *)value, extlist);
+ return x509v3_add_len_value(name, (const char *)value,
+ value != NULL ? strlen((const char *)value) : 0,
+ extlist);
+}
+
+int x509v3_add_len_value_uchar(const char *name, const unsigned char *value,
+ size_t vallen, STACK_OF(CONF_VALUE) **extlist)
+{
+ return x509v3_add_len_value(name, (const char *)value, vallen, extlist);
}
/* Free function for STACK_OF(CONF_VALUE) */
@@ -502,18 +528,29 @@ static int append_ia5(STACK_OF(OPENSSL_STRING) **sk, const ASN1_IA5STRING *email
/* First some sanity checks */
if (email->type != V_ASN1_IA5STRING)
return 1;
- if (!email->data || !email->length)
+ if (email->data == NULL || email->length == 0)
+ return 1;
+ if (memchr(email->data, 0, email->length) != NULL)
return 1;
if (*sk == NULL)
*sk = sk_OPENSSL_STRING_new(sk_strcmp);
if (*sk == NULL)
return 0;
+
+ emtmp = OPENSSL_strndup((char *)email->data, email->length);
+ if (emtmp == NULL) {
+ X509_email_free(*sk);
+ *sk = NULL;
+ return 0;
+ }
+
/* Don't add duplicates */
- if (sk_OPENSSL_STRING_find(*sk, (char *)email->data) != -1)
+ if (sk_OPENSSL_STRING_find(*sk, emtmp) != -1) {
+ OPENSSL_free(emtmp);
return 1;
- emtmp = OPENSSL_strdup((char *)email->data);
- if (emtmp == NULL || !sk_OPENSSL_STRING_push(*sk, emtmp)) {
- OPENSSL_free(emtmp); /* free on push failure */
+ }
+ if (!sk_OPENSSL_STRING_push(*sk, emtmp)) {
+ OPENSSL_free(emtmp); /* free on push failure */
X509_email_free(*sk);
*sk = NULL;
return 0;
@@ -794,8 +831,11 @@ static int do_check_string(const ASN1_STRING *a, int cmp_type, equal_fn equal,
rv = equal(a->data, a->length, (unsigned char *)b, blen, flags);
else if (a->length == (int)blen && !memcmp(a->data, b, blen))
rv = 1;
- if (rv > 0 && peername)
+ if (rv > 0 && peername != NULL) {
*peername = OPENSSL_strndup((char *)a->data, a->length);
+ if (*peername == NULL)
+ return -1;
+ }
} else {
int astrlen;
unsigned char *astr;
@@ -808,8 +848,13 @@ static int do_check_string(const ASN1_STRING *a, int cmp_type, equal_fn equal,
return -1;
}
rv = equal(astr, astrlen, (unsigned char *)b, blen, flags);
- if (rv > 0 && peername)
+ if (rv > 0 && peername != NULL) {
*peername = OPENSSL_strndup((char *)astr, astrlen);
+ if (*peername == NULL) {
+ OPENSSL_free(astr);
+ return -1;
+ }
+ }
OPENSSL_free(astr);
}
return rv;
diff --git a/crypto/x509v3/v3err.c b/crypto/x509v3/v3err.c
index 4f2ea52a..8b2918a6 100644
--- a/crypto/x509v3/v3err.c
+++ b/crypto/x509v3/v3err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -39,6 +39,8 @@ static const ERR_STRING_DATA X509V3_str_functs[] = {
"i2s_ASN1_INTEGER"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_I2V_AUTHORITY_INFO_ACCESS, 0),
"i2v_AUTHORITY_INFO_ACCESS"},
+ {ERR_PACK(ERR_LIB_X509V3, X509V3_F_I2V_AUTHORITY_KEYID, 0),
+ "i2v_AUTHORITY_KEYID"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_LEVEL_ADD_NODE, 0), "level_add_node"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_NOTICE_SECTION, 0), "notice_section"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_NREF_NOS, 0), "nref_nos"},
@@ -104,6 +106,8 @@ static const ERR_STRING_DATA X509V3_str_functs[] = {
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_V3_GENERIC_EXTENSION, 0),
"v3_generic_extension"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_X509V3_ADD1_I2D, 0), "X509V3_add1_i2d"},
+ {ERR_PACK(ERR_LIB_X509V3, X509V3_F_X509V3_ADD_LEN_VALUE, 0),
+ "x509v3_add_len_value"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_X509V3_ADD_VALUE, 0),
"X509V3_add_value"},
{ERR_PACK(ERR_LIB_X509V3, X509V3_F_X509V3_EXT_ADD, 0), "X509V3_EXT_add"},
diff --git a/demos/bio/client-arg.c b/demos/bio/client-arg.c
index e8d5e46a..d51c43c4 100644
--- a/demos/bio/client-arg.c
+++ b/demos/bio/client-arg.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2013-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -94,12 +94,6 @@ int main(int argc, char **argv)
goto end;
}
- if (BIO_do_handshake(sbio) <= 0) {
- fprintf(stderr, "Error establishing SSL connection\n");
- ERR_print_errors_fp(stderr);
- goto end;
- }
-
/* Could examine ssl here to get connection info */
BIO_puts(sbio, "GET / HTTP/1.0\n\n");
diff --git a/demos/bio/client-conf.c b/demos/bio/client-conf.c
index e819030e..cb5c729e 100644
--- a/demos/bio/client-conf.c
+++ b/demos/bio/client-conf.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2013-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -102,12 +102,6 @@ int main(int argc, char **argv)
goto end;
}
- if (BIO_do_handshake(sbio) <= 0) {
- fprintf(stderr, "Error establishing SSL connection\n");
- ERR_print_errors_fp(stderr);
- goto end;
- }
-
/* Could examine ssl here to get connection info */
BIO_puts(sbio, "GET / HTTP/1.0\n\n");
diff --git a/doc/man1/cms.pod b/doc/man1/cms.pod
index 2caf3ef4..c30e834c 100644
--- a/doc/man1/cms.pod
+++ b/doc/man1/cms.pod
@@ -719,6 +719,9 @@ the list of permitted ciphers in a database and only use those.
No revocation checking is done on the signer's certificate.
+The B<-binary> option does not work correctly when processing text input which
+(contrary to the S/MIME specification) uses LF rather than CRLF line endings.
+
=head1 HISTORY
The use of multiple B<-signer> options and the B<-resign> command were first
@@ -735,7 +738,7 @@ The -no_alt_chains option was added in OpenSSL 1.0.2b.
=head1 COPYRIGHT
-Copyright 2008-2021 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2008-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/enc.pod b/doc/man1/enc.pod
index 3c7b6c42..9068282d 100644
--- a/doc/man1/enc.pod
+++ b/doc/man1/enc.pod
@@ -180,8 +180,8 @@ Debug the BIOs used for I/O.
=item B<-z>
-Compress or decompress clear text using zlib before encryption or after
-decryption. This option exists only if OpenSSL with compiled with zlib
+Compress or decompress encrypted data using zlib after encryption or before
+decryption. This option exists only if OpenSSL was compiled with the zlib
or zlib-dynamic option.
=item B<-none>
diff --git a/doc/man1/passwd.pod b/doc/man1/passwd.pod
index c5760fe7..26eb2ad3 100644
--- a/doc/man1/passwd.pod
+++ b/doc/man1/passwd.pod
@@ -31,8 +31,6 @@ The B<passwd> command computes the hash of a password typed at
run-time or the hash of each password in a list. The password list is
taken from the named file for option B<-in file>, from stdin for
option B<-stdin>, or from the command line, or from the terminal otherwise.
-The Unix standard algorithm B<crypt> and the MD5-based BSD password
-algorithm B<1>, its Apache variant B<apr1>, and its AIX variant are available.
=head1 OPTIONS
@@ -122,7 +120,7 @@ This can be used with a subsequent B<-rand> flag.
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man1/pkeyutl.pod b/doc/man1/pkeyutl.pod
index 3b350efa..f6fd48d5 100644
--- a/doc/man1/pkeyutl.pod
+++ b/doc/man1/pkeyutl.pod
@@ -246,6 +246,11 @@ B<PSS> block structure.
For PSS and OAEP padding sets the MGF1 digest. If the MGF1 digest is not
explicitly set in PSS mode then the signing digest is used.
+=item B<rsa_oaep_md:>I<digest>
+
+Sets the digest used for the OAEP hash function. If not explicitly set then
+SHA1 is used.
+
=back
=head1 RSA-PSS ALGORITHM
@@ -319,6 +324,11 @@ seed consisting of the single byte 0xFF:
openssl pkeyutl -kdf TLS1-PRF -kdflen 48 -pkeyopt md:SHA256 \
-pkeyopt hexsecret:ff -pkeyopt hexseed:ff -hexdump
+Decrypt some data using a private key with OAEP padding using SHA256:
+
+ openssl pkeyutl -decrypt -in file -inkey key.pem -out secret \
+ -pkeyopt rsa_padding_mode:oaep -pkeyopt rsa_oaep_md:sha256
+
=head1 SEE ALSO
L<genpkey(1)>, L<pkey(1)>, L<rsautl(1)>
diff --git a/doc/man1/s_client.pod b/doc/man1/s_client.pod
index 743b2db2..f1a2c4ab 100644
--- a/doc/man1/s_client.pod
+++ b/doc/man1/s_client.pod
@@ -797,7 +797,7 @@ server.
The B<s_client> utility is a test tool and is designed to continue the
handshake after any certificate verification errors. As a result it will
-accept any certificate chain (trusted or not) sent by the peer. None test
+accept any certificate chain (trusted or not) sent by the peer. Non-test
applications should B<not> do this as it makes them vulnerable to a MITM
attack. This behaviour can be changed by with the B<-verify_return_error>
option: any verify errors are then returned aborting the handshake.
diff --git a/doc/man1/s_server.pod b/doc/man1/s_server.pod
index 9fdac491..aa6c19d3 100644
--- a/doc/man1/s_server.pod
+++ b/doc/man1/s_server.pod
@@ -701,7 +701,7 @@ disabling the ephemeral DH cipher suites.
=item B<-alpn val>, B<-nextprotoneg val>
-These flags enable the Enable the Application-Layer Protocol Negotiation
+These flags enable the Application-Layer Protocol Negotiation
or Next Protocol Negotiation (NPN) extension, respectively. ALPN is the
IETF standard and replaces NPN.
The B<val> list is a comma-separated list of supported protocol
diff --git a/doc/man3/BIO_ctrl.pod b/doc/man3/BIO_ctrl.pod
index 2e438c3c..cf6ba135 100644
--- a/doc/man3/BIO_ctrl.pod
+++ b/doc/man3/BIO_ctrl.pod
@@ -16,7 +16,7 @@ BIO_get_info_callback, BIO_set_info_callback, BIO_info_cb
long BIO_ctrl(BIO *bp, int cmd, long larg, void *parg);
long BIO_callback_ctrl(BIO *b, int cmd, BIO_info_cb *cb);
- char *BIO_ptr_ctrl(BIO *bp, int cmd, long larg);
+ void *BIO_ptr_ctrl(BIO *bp, int cmd, long larg);
long BIO_int_ctrl(BIO *bp, int cmd, long larg, int iarg);
int BIO_reset(BIO *b);
@@ -126,7 +126,7 @@ the case of BIO_seek() on a file BIO for a successful operation.
=head1 COPYRIGHT
-Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_f_base64.pod b/doc/man3/BIO_f_base64.pod
index 5097c284..c2c5309a 100644
--- a/doc/man3/BIO_f_base64.pod
+++ b/doc/man3/BIO_f_base64.pod
@@ -21,13 +21,26 @@ any data read through it.
Base64 BIOs do not support BIO_gets() or BIO_puts().
+For writing, output is by default divided to lines of length 64
+characters and there is always a newline at the end of output.
+
+For reading, first line should be at most 1024
+characters long. If it is longer then it is ignored completely.
+Other input lines can be of any length. There must be a newline
+at the end of input.
+
+This behavior can be changed with BIO_FLAGS_BASE64_NO_NL flag.
+
BIO_flush() on a base64 BIO that is being written through is
used to signal that no more data is to be encoded: this is used
to flush the final block through the BIO.
-The flag BIO_FLAGS_BASE64_NO_NL can be set with BIO_set_flags()
-to encode the data all on one line or expect the data to be all
-on one line.
+The flag BIO_FLAGS_BASE64_NO_NL can be set with BIO_set_flags().
+For writing, it causes all data to be written on one line without
+newline at the end.
+For reading, it forces the decoder to process the data regardless
+of newlines. All newlines are ignored and the input does not need
+to contain any newline at all.
=head1 NOTES
@@ -81,7 +94,7 @@ to reliably determine EOF (for example a MIME boundary).
=head1 COPYRIGHT
-Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_f_ssl.pod b/doc/man3/BIO_f_ssl.pod
index 59cccbd4..8866785c 100644
--- a/doc/man3/BIO_f_ssl.pod
+++ b/doc/man3/BIO_f_ssl.pod
@@ -54,26 +54,26 @@ The SSL BIO is then reset to the initial accept or connect state.
If the close flag is set when an SSL BIO is freed then the internal
SSL structure is also freed using SSL_free().
-BIO_set_ssl() sets the internal SSL pointer of BIO B<b> to B<ssl> using
+BIO_set_ssl() sets the internal SSL pointer of SSL BIO B<b> to B<ssl> using
the close flag B<c>.
-BIO_get_ssl() retrieves the SSL pointer of BIO B<b>, it can then be
+BIO_get_ssl() retrieves the SSL pointer of SSL BIO B<b>, it can then be
manipulated using the standard SSL library functions.
BIO_set_ssl_mode() sets the SSL BIO mode to B<client>. If B<client>
is 1 client mode is set. If B<client> is 0 server mode is set.
-BIO_set_ssl_renegotiate_bytes() sets the renegotiate byte count
+BIO_set_ssl_renegotiate_bytes() sets the renegotiate byte count of SSL BIO B<b>
to B<num>. When set after every B<num> bytes of I/O (read and write)
the SSL session is automatically renegotiated. B<num> must be at
least 512 bytes.
-BIO_set_ssl_renegotiate_timeout() sets the renegotiate timeout to
-B<seconds>. When the renegotiate timeout elapses the session is
-automatically renegotiated.
+BIO_set_ssl_renegotiate_timeout() sets the renegotiate timeout of SSL BIO B<b>
+to B<seconds>.
+When the renegotiate timeout elapses the session is automatically renegotiated.
BIO_get_num_renegotiates() returns the total number of session
-renegotiations due to I/O or timeout.
+renegotiations due to I/O or timeout of SSL BIO B<b>.
BIO_new_ssl() allocates an SSL BIO using SSL_CTX B<ctx> and using
client mode if B<client> is non zero.
@@ -82,8 +82,7 @@ BIO_new_ssl_connect() creates a new BIO chain consisting of an
SSL BIO (using B<ctx>) followed by a connect BIO.
BIO_new_buffer_ssl_connect() creates a new BIO chain consisting
-of a buffering BIO, an SSL BIO (using B<ctx>) and a connect
-BIO.
+of a buffering BIO, an SSL BIO (using B<ctx>), and a connect BIO.
BIO_ssl_copy_session_id() copies an SSL session id between
BIO chains B<from> and B<to>. It does this by locating the
@@ -185,11 +184,6 @@ unencrypted example in L<BIO_s_connect(3)>.
ERR_print_errors_fp(stderr);
exit(1);
}
- if (BIO_do_handshake(sbio) <= 0) {
- fprintf(stderr, "Error establishing SSL connection\n");
- ERR_print_errors_fp(stderr);
- exit(1);
- }
/* XXX Could examine ssl here to get connection info */
@@ -298,7 +292,7 @@ be modified to handle this fix or they may free up an already freed BIO.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BIO_push.pod b/doc/man3/BIO_push.pod
index 93f2cc31..e16daafe 100644
--- a/doc/man3/BIO_push.pod
+++ b/doc/man3/BIO_push.pod
@@ -8,22 +8,27 @@ BIO_push, BIO_pop, BIO_set_next - add and remove BIOs from a chain
#include <openssl/bio.h>
- BIO *BIO_push(BIO *b, BIO *append);
+ BIO *BIO_push(BIO *b, BIO *next);
BIO *BIO_pop(BIO *b);
void BIO_set_next(BIO *b, BIO *next);
=head1 DESCRIPTION
-The BIO_push() function appends the BIO B<append> to B<b>, it returns
-B<b>.
+BIO_push() pushes I<b> on I<next>.
+If I<b> is NULL the function does nothing and returns I<next>.
+Otherwise it prepends I<b>, which may be a single BIO or a chain of BIOs,
+to I<next> (unless I<next> is NULL).
+It then makes a control call on I<b> and returns I<b>.
-BIO_pop() removes the BIO B<b> from a chain and returns the next BIO
-in the chain, or NULL if there is no next BIO. The removed BIO then
-becomes a single BIO with no association with the original chain,
-it can thus be freed or attached to a different chain.
+BIO_pop() removes the BIO I<b> from any chain is is part of.
+If I<b> is NULL the function does nothing and returns NULL.
+Otherwise it makes a control call on I<b> and
+returns the next BIO in the chain, or NULL if there is no next BIO.
+The removed BIO becomes a single BIO with no association with
+the original chain, it can thus be freed or be made part of a different chain.
BIO_set_next() replaces the existing next BIO in a chain with the BIO pointed to
-by B<next>. The new chain may include some of the same BIOs from the old chain
+by I<next>. The new chain may include some of the same BIOs from the old chain
or it may be completely different.
=head1 NOTES
@@ -33,41 +38,45 @@ joins two BIO chains whereas BIO_pop() deletes a single BIO from a chain,
the deleted BIO does not need to be at the end of a chain.
The process of calling BIO_push() and BIO_pop() on a BIO may have additional
-consequences (a control call is made to the affected BIOs) any effects will
-be noted in the descriptions of individual BIOs.
+consequences (a control call is made to the affected BIOs).
+Any effects will be noted in the descriptions of individual BIOs.
=head1 RETURN VALUES
-BIO_push() returns the end of the chain, B<b>.
+BIO_push() returns the head of the chain,
+which usually is I<b>, or I<next> if I<b> is NULL.
-BIO_pop() returns the next BIO in the chain, or NULL if there is no next
-BIO.
+BIO_pop() returns the next BIO in the chain,
+or NULL if there is no next BIO.
=head1 EXAMPLES
-For these examples suppose B<md1> and B<md2> are digest BIOs, B<b64> is
-a base64 BIO and B<f> is a file BIO.
+For these examples suppose I<md1> and I<md2> are digest BIOs,
+I<b64> is a base64 BIO and I<f> is a file BIO.
If the call:
BIO_push(b64, f);
-is made then the new chain will be B<b64-f>. After making the calls
+is made then the new chain will be I<b64-f>. After making the calls
BIO_push(md2, b64);
BIO_push(md1, md2);
-the new chain is B<md1-md2-b64-f>. Data written to B<md1> will be digested
-by B<md1> and B<md2>, B<base64> encoded and written to B<f>.
+the new chain is I<md1-md2-b64-f>. Data written to I<md1> will be digested
+by I<md1> and I<md2>, base64 encoded, and finally written to I<f>.
It should be noted that reading causes data to pass in the reverse
-direction, that is data is read from B<f>, base64 B<decoded> and digested
-by B<md1> and B<md2>. If the call:
+direction, that is data is read from I<f>, base64 decoded,
+and digested by I<md2> and then I<md1>.
+
+The call:
BIO_pop(md2);
-The call will return B<b64> and the new chain will be B<md1-b64-f> data can
-be written to B<md1> as before.
+will return I<b64> and the new chain will be I<md1-b64-f>.
+Data can be written to and read from I<md1> as before,
+except that I<md2> will no more be applied.
=head1 SEE ALSO
@@ -79,7 +88,7 @@ The BIO_set_next() function was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_add.pod b/doc/man3/BN_add.pod
index dccd4790..a4912fba 100644
--- a/doc/man3/BN_add.pod
+++ b/doc/man3/BN_add.pod
@@ -3,7 +3,7 @@
=head1 NAME
BN_add, BN_sub, BN_mul, BN_sqr, BN_div, BN_mod, BN_nnmod, BN_mod_add,
-BN_mod_sub, BN_mod_mul, BN_mod_sqr, BN_exp, BN_mod_exp, BN_gcd -
+BN_mod_sub, BN_mod_mul, BN_mod_sqr, BN_mod_sqrt, BN_exp, BN_mod_exp, BN_gcd -
arithmetic operations on BIGNUMs
=head1 SYNOPSIS
@@ -36,6 +36,8 @@ arithmetic operations on BIGNUMs
int BN_mod_sqr(BIGNUM *r, BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
+ BIGNUM *BN_mod_sqrt(BIGNUM *in, BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+
int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx);
int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
@@ -87,6 +89,12 @@ L<BN_mod_mul_reciprocal(3)>.
BN_mod_sqr() takes the square of I<a> modulo B<m> and places the
result in I<r>.
+BN_mod_sqrt() returns the modular square root of I<a> such that
+C<in^2 = a (mod p)>. The modulus I<p> must be a
+prime, otherwise an error or an incorrect "result" will be returned.
+The result is stored into I<in> which can be NULL. The result will be
+newly allocated in that case.
+
BN_exp() raises I<a> to the I<p>-th power and places the result in I<r>
(C<r=a^p>). This function is faster than repeated applications of
BN_mul().
@@ -108,7 +116,10 @@ the arguments.
=head1 RETURN VALUES
-For all functions, 1 is returned for success, 0 on error. The return
+The BN_mod_sqrt() returns the result (possibly incorrect if I<p> is
+not a prime), or NULL.
+
+For all remaining functions, 1 is returned for success, 0 on error. The return
value should always be checked (e.g., C<if (!BN_add(r,a,b)) goto err;>).
The error codes can be obtained by L<ERR_get_error(3)>.
@@ -119,7 +130,7 @@ L<BN_add_word(3)>, L<BN_set_bit(3)>
=head1 COPYRIGHT
-Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_cmp.pod b/doc/man3/BN_cmp.pod
index 95d162ff..261619c5 100644
--- a/doc/man3/BN_cmp.pod
+++ b/doc/man3/BN_cmp.pod
@@ -2,42 +2,47 @@
=head1 NAME
-BN_cmp, BN_ucmp, BN_is_zero, BN_is_one, BN_is_word, BN_is_odd - BIGNUM comparison and test functions
+BN_cmp, BN_ucmp, BN_is_zero, BN_is_one, BN_is_word, BN_abs_is_word, BN_is_odd - BIGNUM comparison and test functions
=head1 SYNOPSIS
#include <openssl/bn.h>
- int BN_cmp(BIGNUM *a, BIGNUM *b);
- int BN_ucmp(BIGNUM *a, BIGNUM *b);
+ int BN_cmp(const BIGNUM *a, const BIGNUM *b);
+ int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
- int BN_is_zero(BIGNUM *a);
- int BN_is_one(BIGNUM *a);
- int BN_is_word(BIGNUM *a, BN_ULONG w);
- int BN_is_odd(BIGNUM *a);
+ int BN_is_zero(const BIGNUM *a);
+ int BN_is_one(const BIGNUM *a);
+ int BN_is_word(const BIGNUM *a, const BN_ULONG w);
+ int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w);
+ int BN_is_odd(const BIGNUM *a);
=head1 DESCRIPTION
-BN_cmp() compares the numbers B<a> and B<b>. BN_ucmp() compares their
+BN_cmp() compares the numbers I<a> and I<b>. BN_ucmp() compares their
absolute values.
-BN_is_zero(), BN_is_one() and BN_is_word() test if B<a> equals 0, 1,
-or B<w> respectively. BN_is_odd() tests if a is odd.
-
-BN_is_zero(), BN_is_one(), BN_is_word() and BN_is_odd() are macros.
+BN_is_zero(), BN_is_one(), BN_is_word() and BN_abs_is_word() test if
+I<a> equals 0, 1, I<w>, or E<verbar>I<w>E<verbar> respectively.
+BN_is_odd() tests if I<a> is odd.
=head1 RETURN VALUES
-BN_cmp() returns -1 if B<a> E<lt> B<b>, 0 if B<a> == B<b> and 1 if
-B<a> E<gt> B<b>. BN_ucmp() is the same using the absolute values
-of B<a> and B<b>.
+BN_cmp() returns -1 if I<a> E<lt> I<b>, 0 if I<a> == I<b> and 1 if
+I<a> E<gt> I<b>. BN_ucmp() is the same using the absolute values
+of I<a> and I<b>.
+
+BN_is_zero(), BN_is_one() BN_is_word(), BN_abs_is_word() and
+BN_is_odd() return 1 if the condition is true, 0 otherwise.
+
+=head1 HISTORY
-BN_is_zero(), BN_is_one() BN_is_word() and BN_is_odd() return 1 if
-the condition is true, 0 otherwise.
+Prior to OpenSSL 1.1.0, BN_is_zero(), BN_is_one(), BN_is_word(),
+BN_abs_is_word() and BN_is_odd() were macros.
=head1 COPYRIGHT
-Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/BN_rand.pod b/doc/man3/BN_rand.pod
index d57348e6..5ed14a92 100644
--- a/doc/man3/BN_rand.pod
+++ b/doc/man3/BN_rand.pod
@@ -38,7 +38,7 @@ the number will be set to 1, so that the product of two such random
numbers will always have 2*B<bits> length.
If B<bottom> is B<BN_RAND_BOTTOM_ODD>, the number will be odd; if it
is B<BN_RAND_BOTTOM_ANY> it can be odd or even.
-If B<bits> is 1 then B<top> cannot also be B<BN_RAND_FLG_TOPTWO>.
+If B<bits> is 1 then B<top> cannot also be B<BN_RAND_TOP_TWO>.
BN_rand_range() generates a cryptographically strong pseudo-random
number B<rnd> in the range 0 E<lt>= B<rnd> E<lt> B<range>.
@@ -89,7 +89,7 @@ BN_priv_rand() and BN_priv_rand_range() functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2000-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/DEFINE_STACK_OF.pod b/doc/man3/DEFINE_STACK_OF.pod
index 43a3214d..6f4ac7ec 100644
--- a/doc/man3/DEFINE_STACK_OF.pod
+++ b/doc/man3/DEFINE_STACK_OF.pod
@@ -238,7 +238,8 @@ sk_TYPE_pop(), sk_TYPE_shift(), sk_TYPE_delete() and sk_TYPE_delete_ptr()
return a pointer to the deleted element or B<NULL> on error.
sk_TYPE_insert(), sk_TYPE_push() and sk_TYPE_unshift() return the total
-number of elements in the stack and 0 if an error occurred.
+number of elements in the stack and 0 if an error occurred. sk_TYPE_push()
+further returns -1 if B<sk> is B<NULL>.
sk_TYPE_set() returns a pointer to the replacement element or B<NULL> on
error.
diff --git a/doc/man3/ENGINE_add.pod b/doc/man3/ENGINE_add.pod
index 369900c2..34a640d2 100644
--- a/doc/man3/ENGINE_add.pod
+++ b/doc/man3/ENGINE_add.pod
@@ -597,8 +597,7 @@ B<ENGINE> implementations.
All ENGINE_register_TYPE() functions return 1 on success or 0 on error.
-ENGINE_register_complete() and ENGINE_register_all_complete() return 1 on success
-or 0 on error.
+ENGINE_register_complete() and ENGINE_register_all_complete() always return 1.
ENGINE_ctrl() returns a positive value on success or others on error.
@@ -609,7 +608,7 @@ ENGINE_ctrl_cmd() and ENGINE_ctrl_cmd_string() return 1 on success or 0 on error
ENGINE_new() returns a valid B<ENGINE> structure on success or NULL if an error
occurred.
-ENGINE_free() returns 1 on success or 0 on error.
+ENGINE_free() always returns 1.
ENGINE_up_ref() returns 1 on success or 0 on error.
@@ -657,7 +656,7 @@ and should not be used.
=head1 COPYRIGHT
-Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/ERR_load_strings.pod b/doc/man3/ERR_load_strings.pod
index 3167f271..2b21a3bc 100644
--- a/doc/man3/ERR_load_strings.pod
+++ b/doc/man3/ERR_load_strings.pod
@@ -9,7 +9,7 @@ arbitrary error strings
#include <openssl/err.h>
- void ERR_load_strings(int lib, ERR_STRING_DATA str[]);
+ int ERR_load_strings(int lib, ERR_STRING_DATA *str);
int ERR_get_next_error_library(void);
@@ -38,7 +38,7 @@ to user libraries at runtime.
=head1 RETURN VALUES
-ERR_load_strings() returns no value. ERR_PACK() return the error code.
+ERR_load_strings() returns 1 for success and 0 for failure. ERR_PACK() returns the error code.
ERR_get_next_error_library() returns zero on failure, otherwise a new
library number.
@@ -48,7 +48,7 @@ L<ERR_load_strings(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/EVP_EncryptInit.pod b/doc/man3/EVP_EncryptInit.pod
index 0d8a780b..392ce5db 100644
--- a/doc/man3/EVP_EncryptInit.pod
+++ b/doc/man3/EVP_EncryptInit.pod
@@ -380,18 +380,20 @@ B<EVP_CTRL_AEAD_SET_TAG>.
=item EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_AEAD_SET_TAG, taglen, tag)
-Sets the expected tag to C<taglen> bytes from C<tag>.
-The tag length can only be set before specifying an IV.
+When decrypting, this call sets the expected tag to C<taglen> bytes from C<tag>.
C<taglen> must be between 1 and 16 inclusive.
+The tag must be set prior to any call to EVP_DecryptFinal() or
+EVP_DecryptFinal_ex().
For GCM, this call is only valid when decrypting data.
For OCB, this call is valid when decrypting data to set the expected tag,
-and before encryption to set the desired tag length.
+and when encrypting to set the desired tag length.
-In OCB mode, calling this before encryption with C<tag> set to C<NULL> sets the
-tag length. If this is not called prior to encryption, a default tag length is
-used.
+In OCB mode, calling this when encrypting with C<tag> set to C<NULL> sets the
+tag length. The tag length can only be set before specifying an IV. If this is
+not called prior to setting the IV during encryption, then a default tag length
+is used.
For OCB AES, the default tag length is 16 (i.e. 128 bits). It is also the
maximum tag length for OCB.
@@ -659,7 +661,7 @@ EVP_CIPHER_CTX_reset().
=head1 COPYRIGHT
-Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/OBJ_nid2obj.pod b/doc/man3/OBJ_nid2obj.pod
index f84d5b1e..b37d9923 100644
--- a/doc/man3/OBJ_nid2obj.pod
+++ b/doc/man3/OBJ_nid2obj.pod
@@ -46,50 +46,52 @@ Deprecated:
The ASN1 object utility functions process ASN1_OBJECT structures which are
a representation of the ASN1 OBJECT IDENTIFIER (OID) type.
For convenience, OIDs are usually represented in source code as numeric
-identifiers, or B<NID>s. OpenSSL has an internal table of OIDs that
+identifiers, or I<NID>s. OpenSSL has an internal table of OIDs that
are generated when the library is built, and their corresponding NIDs
are available as defined constants. For the functions below, application
code should treat all returned values -- OIDs, NIDs, or names -- as
constants.
-OBJ_nid2obj(), OBJ_nid2ln() and OBJ_nid2sn() convert the NID B<n> to
+OBJ_nid2obj(), OBJ_nid2ln() and OBJ_nid2sn() convert the NID I<n> to
an ASN1_OBJECT structure, its long name and its short name respectively,
or B<NULL> if an error occurred.
OBJ_obj2nid(), OBJ_ln2nid(), OBJ_sn2nid() return the corresponding NID
-for the object B<o>, the long name <ln> or the short name <sn> respectively
+for the object I<o>, the long name <ln> or the short name <sn> respectively
or NID_undef if an error occurred.
-OBJ_txt2nid() returns NID corresponding to text string <s>. B<s> can be
+OBJ_txt2nid() returns NID corresponding to text string I<s>. I<s> can be
a long name, a short name or the numerical representation of an object.
-OBJ_txt2obj() converts the text string B<s> into an ASN1_OBJECT structure.
-If B<no_name> is 0 then long names and short names will be interpreted
-as well as numerical forms. If B<no_name> is 1 only the numerical form
+OBJ_txt2obj() converts the text string I<s> into an ASN1_OBJECT structure.
+If I<no_name> is 0 then long names and short names will be interpreted
+as well as numerical forms. If I<no_name> is 1 only the numerical form
is acceptable.
-OBJ_obj2txt() converts the B<ASN1_OBJECT> B<a> into a textual representation.
-The representation is written as a null terminated string to B<buf>
-at most B<buf_len> bytes are written, truncating the result if necessary.
-The total amount of space required is returned. If B<no_name> is 0 then
-if the object has a long or short name then that will be used, otherwise
-the numerical form will be used. If B<no_name> is 1 then the numerical
-form will always be used.
+OBJ_obj2txt() converts the B<ASN1_OBJECT> I<a> into a textual representation.
+Unless I<buf> is NULL,
+the representation is written as a NUL-terminated string to I<buf>, where
+at most I<buf_len> bytes are written, truncating the result if necessary.
+In any case it returns the total string length, excluding the NUL character,
+required for non-truncated representation, or -1 on error.
+If I<no_name> is 0 then if the object has a long or short name
+then that will be used, otherwise the numerical form will be used.
+If I<no_name> is 1 then the numerical form will always be used.
-i2t_ASN1_OBJECT() is the same as OBJ_obj2txt() with the B<no_name> set to zero.
+i2t_ASN1_OBJECT() is the same as OBJ_obj2txt() with the I<no_name> set to zero.
-OBJ_cmp() compares B<a> to B<b>. If the two are identical 0 is returned.
+OBJ_cmp() compares I<a> to I<b>. If the two are identical 0 is returned.
-OBJ_dup() returns a copy of B<o>.
+OBJ_dup() returns a copy of I<o>.
-OBJ_create() adds a new object to the internal table. B<oid> is the
-numerical form of the object, B<sn> the short name and B<ln> the
+OBJ_create() adds a new object to the internal table. I<oid> is the
+numerical form of the object, I<sn> the short name and I<ln> the
long name. A new NID is returned for the created object in case of
success and NID_undef in case of failure.
-OBJ_length() returns the size of the content octets of B<obj>.
+OBJ_length() returns the size of the content octets of I<obj>.
-OBJ_get0_data() returns a pointer to the content octets of B<obj>.
+OBJ_get0_data() returns a pointer to the content octets of I<obj>.
The returned pointer is an internal pointer which B<must not> be freed.
OBJ_cleanup() releases any resources allocated by creating new objects.
@@ -141,6 +143,13 @@ on error.
OBJ_obj2nid(), OBJ_ln2nid(), OBJ_sn2nid() and OBJ_txt2nid() return
a NID or B<NID_undef> on error.
+OBJ_add_sigid() returns 1 on success or 0 on error.
+
+i2t_ASN1_OBJECT() an OBJ_obj2txt() return -1 on error.
+On success, they return the length of the string written to I<buf> if I<buf> is
+not NULL and I<buf_len> is big enough, otherwise the total string length.
+Note that this does not count the trailing NUL character.
+
=head1 EXAMPLES
Create an object for B<commonName>:
@@ -161,15 +170,6 @@ Create a new object directly:
obj = OBJ_txt2obj("1.2.3.4", 1);
-=head1 BUGS
-
-OBJ_obj2txt() is awkward and messy to use: it doesn't follow the
-convention of other OpenSSL functions where the buffer can be set
-to B<NULL> to determine the amount of data that should be written.
-Instead B<buf> must point to a valid buffer and B<buf_len> should
-be set to a positive value. A buffer length of 80 should be more
-than enough to handle any OID encountered in practice.
-
=head1 SEE ALSO
L<ERR_get_error(3)>
@@ -181,7 +181,7 @@ and should not be used.
=head1 COPYRIGHT
-Copyright 2002-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2002-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CONF_cmd.pod b/doc/man3/SSL_CONF_cmd.pod
index 900c4f3a..7f0e0886 100644
--- a/doc/man3/SSL_CONF_cmd.pod
+++ b/doc/man3/SSL_CONF_cmd.pod
@@ -434,7 +434,7 @@ B<SessionTicket>: session ticket support, enabled by default. Inverse of
B<SSL_OP_NO_TICKET>: that is B<-SessionTicket> is the same as setting
B<SSL_OP_NO_TICKET>.
-B<Compression>: SSL/TLS compression support, enabled by default. Inverse
+B<Compression>: SSL/TLS compression support, disabled by default. Inverse
of B<SSL_OP_NO_COMPRESSION>.
B<EmptyFragments>: use empty fragments as a countermeasure against a
@@ -694,7 +694,7 @@ B<AllowNoDHEKEX> and B<PrioritizeChaCha> were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2012-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2012-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_num_tickets.pod b/doc/man3/SSL_CTX_set_num_tickets.pod
index ad13ed15..bc031008 100644
--- a/doc/man3/SSL_CTX_set_num_tickets.pod
+++ b/doc/man3/SSL_CTX_set_num_tickets.pod
@@ -25,10 +25,10 @@ the client after a full handshake. Set the desired value (which could be 0) in
the B<num_tickets> argument. Typically these functions should be called before
the start of the handshake.
-The default number of tickets is 2; the default number of tickets sent following
-a resumption handshake is 1 but this cannot be changed using these functions.
-The number of tickets following a resumption handshake can be reduced to 0 using
-custom session ticket callbacks (see L<SSL_CTX_set_session_ticket_cb(3)>).
+The default number of tickets is 2. Following a resumption the number of tickets
+issued will never be more than 1 regardless of the value set via
+SSL_set_num_tickets() or SSL_CTX_set_num_tickets(). If B<num_tickets> is set to
+0 then no tickets will be issued for either a normal connection or a resumption.
Tickets are also issued on receipt of a post-handshake certificate from the
client following a request by the server using
@@ -58,7 +58,7 @@ These functions were added in OpenSSL 1.1.1.
=head1 COPYRIGHT
-Copyright 2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2018-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod b/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod
index b2637efc..15642f48 100644
--- a/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod
+++ b/doc/man3/SSL_CTX_set_tlsext_ticket_key_cb.pod
@@ -123,7 +123,7 @@ enable an attacker to obtain the session keys.
=head1 RETURN VALUES
-returns 0 to indicate the callback function was set.
+Returns 1 to indicate the callback function was set and 0 otherwise.
=head1 EXAMPLES
@@ -193,7 +193,7 @@ L<SSL_CTX_set_session_id_context(3)>,
=head1 COPYRIGHT
-Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2014-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_get_session.pod b/doc/man3/SSL_get_session.pod
index 7c045706..b7472bd6 100644
--- a/doc/man3/SSL_get_session.pod
+++ b/doc/man3/SSL_get_session.pod
@@ -37,8 +37,11 @@ L<SSL_SESSION_is_resumable(3)> for information on how to determine whether an
SSL_SESSION object can be used for resumption or not.
Additionally, in TLSv1.3, a server can send multiple messages that establish a
-session for a single connection. In that case the above functions will only
-return information on the last session that was received.
+session for a single connection. In that case, on the client side, the above
+functions will only return information on the last session that was received. On
+the server side they will only return information on the last session that was
+sent, or if no session tickets were sent then the session for the current
+connection.
The preferred way for applications to obtain a resumable SSL_SESSION object is
to use a new session callback as described in L<SSL_CTX_sess_set_new_cb(3)>.
@@ -100,7 +103,7 @@ L<SSL_SESSION_free(3)>
=head1 COPYRIGHT
-Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/SSL_set_fd.pod b/doc/man3/SSL_set_fd.pod
index 6780d515..3195a4ec 100644
--- a/doc/man3/SSL_set_fd.pod
+++ b/doc/man3/SSL_set_fd.pod
@@ -45,6 +45,17 @@ The operation succeeded.
=back
+=head1 NOTES
+
+On Windows, a socket handle is a 64-bit data type (UINT_PTR), which leads to a
+compiler warning (conversion from 'SOCKET' to 'int', possible loss of data) when
+passing the socket handle to SSL_set_*fd(). For the time being, this warning can
+safely be ignored, because although the Microsoft documentation claims that the
+upper limit is INVALID_SOCKET-1 (2^64 - 2), in practice the current socket()
+implementation returns an index into the kernel handle table, the size of which
+is limited to 2^24.
+
+
=head1 SEE ALSO
L<SSL_get_fd(3)>, L<SSL_set_bio(3)>,
@@ -53,7 +64,7 @@ L<SSL_shutdown(3)>, L<ssl(7)> , L<bio(7)>
=head1 COPYRIGHT
-Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/X509_STORE_CTX_new.pod b/doc/man3/X509_STORE_CTX_new.pod
index aba7fff7..b8024dc4 100644
--- a/doc/man3/X509_STORE_CTX_new.pod
+++ b/doc/man3/X509_STORE_CTX_new.pod
@@ -11,7 +11,10 @@ X509_STORE_CTX_get0_untrusted, X509_STORE_CTX_set0_untrusted,
X509_STORE_CTX_get_num_untrusted,
X509_STORE_CTX_set_default,
X509_STORE_CTX_set_verify,
-X509_STORE_CTX_verify_fn
+X509_STORE_CTX_verify_fn,
+X509_STORE_CTX_set_purpose,
+X509_STORE_CTX_set_trust,
+X509_STORE_CTX_purpose_inherit
- X509_STORE_CTX initialisation
=head1 SYNOPSIS
@@ -44,6 +47,11 @@ X509_STORE_CTX_verify_fn
typedef int (*X509_STORE_CTX_verify_fn)(X509_STORE_CTX *);
void X509_STORE_CTX_set_verify(X509_STORE_CTX *ctx, X509_STORE_CTX_verify_fn verify);
+ int X509_STORE_CTX_set_purpose(X509_STORE_CTX *ctx, int purpose);
+ int X509_STORE_CTX_set_trust(X509_STORE_CTX *ctx, int trust);
+ int X509_STORE_CTX_purpose_inherit(X509_STORE_CTX *ctx, int def_purpose,
+ int purpose, int trust);
+
=head1 DESCRIPTION
These functions initialise an B<X509_STORE_CTX> structure for subsequent use
@@ -120,6 +128,65 @@ following signature:
This function should receive the current X509_STORE_CTX as a parameter and
return 1 on success or 0 on failure.
+X509 certificates may contain information about what purposes keys contained
+within them can be used for. For example "TLS WWW Server Authentication" or
+"Email Protection". This "key usage" information is held internally to the
+certificate itself. In addition the trust store containing trusted certificates
+can declare what purposes we trust different certificates for. This "trust"
+information is not held within the certificate itself but is "meta" information
+held alongside it. This "meta" information is associated with the certificate
+after it is issued and could be determined by a system administrator. For
+example a certificate might declare that it is suitable for use for both
+"TLS WWW Server Authentication" and "TLS Client Authentication", but a system
+administrator might only trust it for the former. An X.509 certificate extension
+exists that can record extended key usage information to supplement the purpose
+information described above. This extended mechanism is arbitrarily extensible
+and not well suited for a generic library API; applications that need to
+validate extended key usage information in certifiates will need to define a
+custom "purpose" (see below) or supply a nondefault verification callback
+(L<X509_STORE_set_verify_cb_func(3)>).
+
+X509_STORE_CTX_set_purpose() sets the purpose for the target certificate being
+verified in the I<ctx>. Built-in available values for the I<purpose> argument
+are B<X509_PURPOSE_SSL_CLIENT>, B<X509_PURPOSE_SSL_SERVER>,
+B<X509_PURPOSE_NS_SSL_SERVER>, B<X509_PURPOSE_SMIME_SIGN>,
+B<X509_PURPOSE_SMIME_ENCRYPT>, B<X509_PURPOSE_CRL_SIGN>, B<X509_PURPOSE_ANY>,
+B<X509_PURPOSE_OCSP_HELPER> and B<X509_PURPOSE_TIMESTAMP_SIGN>. It is also
+possible to create a custom purpose value. Setting a purpose will ensure that
+the key usage declared within certificates in the chain being verified is
+consistent with that purpose as well as, potentially, other checks. Every
+purpose also has an associated default trust value which will also be set at the
+same time. During verification this trust setting will be verified to check it
+is consistent with the trust set by the system administrator for certificates in
+the chain.
+
+X509_STORE_CTX_set_trust() sets the trust value for the target certificate
+being verified in the I<ctx>. Built-in available values for the I<trust>
+argument are B<X509_TRUST_COMPAT>, B<X509_TRUST_SSL_CLIENT>,
+B<X509_TRUST_SSL_SERVER>, B<X509_TRUST_EMAIL>, B<X509_TRUST_OBJECT_SIGN>,
+B<X509_TRUST_OCSP_SIGN>, B<X509_TRUST_OCSP_REQUEST> and B<X509_TRUST_TSA>. It is
+also possible to create a custom trust value. Since X509_STORE_CTX_set_purpose()
+also sets the trust value it is normally sufficient to only call that function.
+If both are called then X509_STORE_CTX_set_trust() should be called after
+X509_STORE_CTX_set_purpose() since the trust setting of the last call will be
+used.
+
+It should not normally be necessary for end user applications to call
+X509_STORE_CTX_purpose_inherit() directly. Typically applications should call
+X509_STORE_CTX_set_purpose() or X509_STORE_CTX_set_trust() instead. Using this
+function it is possible to set the purpose and trust values for the I<ctx> at
+the same time. The I<def_purpose> and I<purpose> arguments can have the same
+purpose values as described for X509_STORE_CTX_set_purpose() above. The I<trust>
+argument can have the same trust values as described in
+X509_STORE_CTX_set_trust() above. Any of the I<def_purpose>, I<purpose> or
+I<trust> values may also have the value 0 to indicate that the supplied
+parameter should be ignored. After calling this function the purpose to be used
+for verification is set from the I<purpose> argument, and the trust is set from
+the I<trust> argument. If I<trust> is 0 then the trust value will be set from
+the default trust value for I<purpose>. If the default trust value for the
+purpose is I<X509_TRUST_DEFAULT> and I<trust> is 0 then the default trust value
+associated with the I<def_purpose> value is used for the trust setting instead.
+
=head1 NOTES
The certificates and CRLs in a store are used internally and should B<not>
@@ -164,7 +231,7 @@ The X509_STORE_CTX_get_num_untrusted() function was added in OpenSSL 1.1.0.
=head1 COPYRIGHT
-Copyright 2009-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2009-2022 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/d2i_PrivateKey.pod b/doc/man3/d2i_PrivateKey.pod
index 4e3f20f8..e7272595 100644
--- a/doc/man3/d2i_PrivateKey.pod
+++ b/doc/man3/d2i_PrivateKey.pod
@@ -42,6 +42,10 @@ These functions are similar to the d2i_X509() functions; see L<d2i_X509(3)>.
=head1 NOTES
+All the functions that operate on data in memory update the data pointer I<*pp>
+after a successful operation, just like the other d2i and i2d functions;
+see L<d2i_X509(3)>.
+
All these functions use DER format and unencrypted keys. Applications wishing
to encrypt or decrypt private keys should use other functions such as
d2i_PKCS8PrivateKey() instead.
@@ -71,7 +75,7 @@ L<d2i_PKCS8PrivateKey_bio(3)>
=head1 COPYRIGHT
-Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man3/d2i_X509.pod b/doc/man3/d2i_X509.pod
index e42049d2..30b419c5 100644
--- a/doc/man3/d2i_X509.pod
+++ b/doc/man3/d2i_X509.pod
@@ -158,6 +158,8 @@ d2i_TS_TST_INFO_bio,
d2i_TS_TST_INFO_fp,
d2i_USERNOTICE,
d2i_X509,
+d2i_X509_bio,
+d2i_X509_fp,
d2i_X509_ALGOR,
d2i_X509_ALGORS,
d2i_X509_ATTRIBUTE,
@@ -338,6 +340,8 @@ i2d_TS_TST_INFO_bio,
i2d_TS_TST_INFO_fp,
i2d_USERNOTICE,
i2d_X509,
+i2d_X509_bio,
+i2d_X509_fp,
i2d_X509_ALGOR,
i2d_X509_ALGORS,
i2d_X509_ATTRIBUTE,
@@ -612,7 +616,7 @@ efficiency reasons.
=head1 COPYRIGHT
-Copyright 1998-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 1998-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/ossl_store.pod b/doc/man7/ossl_store.pod
index b7061968..19e15a65 100644
--- a/doc/man7/ossl_store.pod
+++ b/doc/man7/ossl_store.pod
@@ -58,7 +58,7 @@ other encoding is undefined.
* here just one example
*/
switch (OSSL_STORE_INFO_get_type(info)) {
- case OSSL_STORE_INFO_X509:
+ case OSSL_STORE_INFO_CERT:
/* Print the X.509 certificate text */
X509_print_fp(stdout, OSSL_STORE_INFO_get0_CERT(info));
/* Print the X.509 certificate PEM output */
@@ -77,7 +77,7 @@ L<OSSL_STORE_SEARCH(3)>
=head1 COPYRIGHT
-Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/doc/man7/x509.pod b/doc/man7/x509.pod
index 065dcb14..7274e5ce 100644
--- a/doc/man7/x509.pod
+++ b/doc/man7/x509.pod
@@ -11,7 +11,7 @@ x509 - X.509 certificate handling
=head1 DESCRIPTION
An X.509 certificate is a structured grouping of information about
-an individual, a device, or anything one can imagine. A X.509 CRL
+an individual, a device, or anything one can imagine. An X.509 CRL
(certificate revocation list) is a tool to help determine if a
certificate is still valid. The exact definition of those can be
found in the X.509 document from ITU-T, or in RFC3280 from PKIX.
@@ -24,7 +24,7 @@ X509_REQ is used to express such a certificate request.
To handle some complex parts of a certificate, there are the types
X509_NAME (to express a certificate name), X509_ATTRIBUTE (to express
-a certificate attributes), X509_EXTENSION (to express a certificate
+a certificate attribute), X509_EXTENSION (to express a certificate
extension) and a few more.
Finally, there's the supertype X509_INFO, which can contain a CRL, a
@@ -63,7 +63,7 @@ L<crypto(7)>
=head1 COPYRIGHT
-Copyright 2003-2017 The OpenSSL Project Authors. All Rights Reserved.
+Copyright 2003-2021 The OpenSSL Project Authors. All Rights Reserved.
Licensed under the OpenSSL license (the "License"). You may not use
this file except in compliance with the License. You can obtain a copy
diff --git a/engines/e_afalg.c b/engines/e_afalg.c
index 4b172284..2d16c138 100644
--- a/engines/e_afalg.c
+++ b/engines/e_afalg.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -624,11 +624,8 @@ static int afalg_cipher_cleanup(EVP_CIPHER_CTX *ctx)
}
actx = (afalg_ctx *) EVP_CIPHER_CTX_get_cipher_data(ctx);
- if (actx == NULL || actx->init_done != MAGIC_INIT_NUM) {
- ALG_WARN("%s afalg ctx passed\n",
- ctx == NULL ? "NULL" : "Uninitialised");
- return 0;
- }
+ if (actx == NULL || actx->init_done != MAGIC_INIT_NUM)
+ return 1;
close(actx->sfd);
close(actx->bfd);
diff --git a/engines/e_dasync.c b/engines/e_dasync.c
index 5cdacb66..9ad043b1 100644
--- a/engines/e_dasync.c
+++ b/engines/e_dasync.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -182,8 +182,8 @@ static int dasync_ciphers(ENGINE *e, const EVP_CIPHER **cipher,
const int **nids, int nid);
static int dasync_cipher_nids[] = {
- NID_aes_128_cbc,
NID_aes_128_cbc_hmac_sha1,
+ NID_aes_128_cbc,
0
};
@@ -244,7 +244,8 @@ static int bind_dasync(ENGINE *e)
|| !EVP_CIPHER_meth_set_flags(_hidden_aes_128_cbc,
EVP_CIPH_FLAG_DEFAULT_ASN1
| EVP_CIPH_CBC_MODE
- | EVP_CIPH_FLAG_PIPELINE)
+ | EVP_CIPH_FLAG_PIPELINE
+ | EVP_CIPH_CUSTOM_COPY)
|| !EVP_CIPHER_meth_set_init(_hidden_aes_128_cbc,
dasync_aes128_init_key)
|| !EVP_CIPHER_meth_set_do_cipher(_hidden_aes_128_cbc,
@@ -264,12 +265,14 @@ static int bind_dasync(ENGINE *e)
16 /* block size */,
16 /* key len */);
if (_hidden_aes_128_cbc_hmac_sha1 == NULL
+ || EVP_aes_128_cbc_hmac_sha1() == NULL
|| !EVP_CIPHER_meth_set_iv_length(_hidden_aes_128_cbc_hmac_sha1,16)
|| !EVP_CIPHER_meth_set_flags(_hidden_aes_128_cbc_hmac_sha1,
EVP_CIPH_CBC_MODE
| EVP_CIPH_FLAG_DEFAULT_ASN1
| EVP_CIPH_FLAG_AEAD_CIPHER
- | EVP_CIPH_FLAG_PIPELINE)
+ | EVP_CIPH_FLAG_PIPELINE
+ | EVP_CIPH_CUSTOM_COPY)
|| !EVP_CIPHER_meth_set_init(_hidden_aes_128_cbc_hmac_sha1,
dasync_aes128_cbc_hmac_sha1_init_key)
|| !EVP_CIPHER_meth_set_do_cipher(_hidden_aes_128_cbc_hmac_sha1,
@@ -371,6 +374,10 @@ static int dasync_ciphers(ENGINE *e, const EVP_CIPHER **cipher,
int ok = 1;
if (cipher == NULL) {
/* We are returning a list of supported nids */
+ if (dasync_aes_128_cbc_hmac_sha1() == NULL) {
+ *nids = dasync_cipher_nids + 1;
+ return 1;
+ }
*nids = dasync_cipher_nids;
return (sizeof(dasync_cipher_nids) -
1) / sizeof(dasync_cipher_nids[0]);
@@ -624,6 +631,21 @@ static int dasync_cipher_ctrl_helper(EVP_CIPHER_CTX *ctx, int type, int arg,
}
}
+ case EVP_CTRL_COPY:
+ {
+ const EVP_CIPHER *cipher = aeadcapable
+ ? EVP_aes_128_cbc_hmac_sha1()
+ : EVP_aes_128_cbc();
+ size_t data_size = EVP_CIPHER_impl_ctx_size(cipher);
+ void *cipher_data = OPENSSL_malloc(data_size);
+
+ if (cipher_data == NULL)
+ return 0;
+ memcpy(cipher_data, pipe_ctx->inner_cipher_data, data_size);
+ pipe_ctx->inner_cipher_data = cipher_data;
+ return 1;
+ }
+
default:
return 0;
}
diff --git a/include/crypto/rand.h b/include/crypto/rand.h
index 5350d3a9..9e02bb0e 100644
--- a/include/crypto/rand.h
+++ b/include/crypto/rand.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -20,6 +20,16 @@
# include <openssl/rand.h>
+# if defined(__APPLE__) && !defined(OPENSSL_NO_APPLE_CRYPTO_RANDOM)
+# include <Availability.h>
+# if (defined(__MAC_OS_X_VERSION_MIN_REQUIRED) && __MAC_OS_X_VERSION_MIN_REQUIRED >= 101200) || \
+ (defined(__IPHONE_OS_VERSION_MIN_REQUIRED) && __IPHONE_OS_VERSION_MIN_REQUIRED >= 80000)
+# define OPENSSL_APPLE_CRYPTO_RANDOM 1
+# include <CommonCrypto/CommonCryptoError.h>
+# include <CommonCrypto/CommonRandom.h>
+# endif
+# endif
+
/* forward declaration */
typedef struct rand_pool_st RAND_POOL;
diff --git a/include/crypto/sm2.h b/include/crypto/sm2.h
index 76ee80ba..a7f5548c 100644
--- a/include/crypto/sm2.h
+++ b/include/crypto/sm2.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2017 Ribose Inc. All Rights Reserved.
* Ported from Ribose contributions from Botan.
*
@@ -60,8 +60,7 @@ int sm2_verify(const unsigned char *dgst, int dgstlen,
int sm2_ciphertext_size(const EC_KEY *key, const EVP_MD *digest, size_t msg_len,
size_t *ct_size);
-int sm2_plaintext_size(const EC_KEY *key, const EVP_MD *digest, size_t msg_len,
- size_t *pt_size);
+int sm2_plaintext_size(const unsigned char *ct, size_t ct_size, size_t *pt_size);
int sm2_encrypt(const EC_KEY *key,
const EVP_MD *digest,
diff --git a/include/crypto/x509.h b/include/crypto/x509.h
index b53c2b03..243ea74f 100644
--- a/include/crypto/x509.h
+++ b/include/crypto/x509.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -8,6 +8,8 @@
*/
#include "internal/refcount.h"
+#include <openssl/x509.h>
+#include <openssl/conf.h>
/* Internal X509 structures and functions: not for application use */
@@ -284,3 +286,6 @@ int a2i_ipadd(unsigned char *ipout, const char *ipasc);
int x509_set1_time(ASN1_TIME **ptm, const ASN1_TIME *tm);
void x509_init_sig_info(X509 *x);
+
+int x509v3_add_len_value_uchar(const char *name, const unsigned char *value,
+ size_t vallen, STACK_OF(CONF_VALUE) **extlist);
diff --git a/include/internal/sockets.h b/include/internal/sockets.h
index 39186efe..4fc1aecd 100644
--- a/include/internal/sockets.h
+++ b/include/internal/sockets.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -30,6 +30,8 @@
# include <sys/un.h>
# include <tcp.h>
# include <netdb.h>
+# include <arpa/inet.h>
+# include <netinet/tcp.h>
# elif defined(_WIN32_WCE) && _WIN32_WCE<410
# define getservbyname _masked_declaration_getservbyname
# endif
diff --git a/include/openssl/e_os2.h b/include/openssl/e_os2.h
index cf308eee..5c88e519 100644
--- a/include/openssl/e_os2.h
+++ b/include/openssl/e_os2.h
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -279,7 +279,8 @@ typedef unsigned __int64 uint64_t;
# define ossl_inline inline
# endif
-# if defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
+# if defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L && \
+ !defined(__cplusplus)
# define ossl_noreturn _Noreturn
# elif defined(__GNUC__) && __GNUC__ >= 2
# define ossl_noreturn __attribute__((noreturn))
diff --git a/include/openssl/ec.h b/include/openssl/ec.h
index 44cc1399..24baf53c 100644
--- a/include/openssl/ec.h
+++ b/include/openssl/ec.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -793,12 +793,15 @@ int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
-# define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
-# define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
-# define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
- (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
-# define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
- (unsigned char *)(x))
+# define d2i_ECPKParameters_bio(bp,x) \
+ ASN1_d2i_bio_of(EC_GROUP, NULL, d2i_ECPKParameters, bp, x)
+# define i2d_ECPKParameters_bio(bp,x) \
+ ASN1_i2d_bio_of_const(EC_GROUP, i2d_ECPKParameters, bp, x)
+# define d2i_ECPKParameters_fp(fp,x) \
+ (EC_GROUP *)ASN1_d2i_fp(NULL, (d2i_of_void *)d2i_ECPKParameters, (fp), \
+ (void **)(x))
+# define i2d_ECPKParameters_fp(fp,x) \
+ ASN1_i2d_fp((i2d_of_void *)i2d_ECPKParameters, (fp), (void *)(x))
int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
# ifndef OPENSSL_NO_STDIO
diff --git a/include/openssl/engine.h b/include/openssl/engine.h
index 0780f0fb..d707eaeb 100644
--- a/include/openssl/engine.h
+++ b/include/openssl/engine.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2000-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -722,6 +722,7 @@ typedef int (*dynamic_bind_engine) (ENGINE *e, const char *id,
CRYPTO_set_mem_functions(fns->mem_fns.malloc_fn, \
fns->mem_fns.realloc_fn, \
fns->mem_fns.free_fn); \
+ OPENSSL_init_crypto(OPENSSL_INIT_NO_ATEXIT, NULL); \
skip_cbs: \
if (!fn(e, id)) return 0; \
return 1; }
diff --git a/include/openssl/obj_mac.h b/include/openssl/obj_mac.h
index eb812ed1..53516a06 100644
--- a/include/openssl/obj_mac.h
+++ b/include/openssl/obj_mac.h
@@ -2,7 +2,7 @@
* WARNING: do not edit!
* Generated by crypto/objects/objects.pl
*
- * Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2000-2022 The OpenSSL Project Authors. All Rights Reserved.
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
diff --git a/include/openssl/opensslv.h b/include/openssl/opensslv.h
index 0cd6b2f9..c4862644 100644
--- a/include/openssl/opensslv.h
+++ b/include/openssl/opensslv.h
@@ -39,8 +39,8 @@ extern "C" {
* (Prior to 0.9.5a beta1, a different scheme was used: MMNNFFRBB for
* major minor fix final patch/beta)
*/
-# define OPENSSL_VERSION_NUMBER 0x101010bfL
-# define OPENSSL_VERSION_TEXT "OpenSSL 1.1.1k 25 Mar 2021"
+# define OPENSSL_VERSION_NUMBER 0x101010efL
+# define OPENSSL_VERSION_TEXT "OpenSSL 1.1.1n 15 Mar 2022"
/*-
* The macros below are to be used for shared library (.so, .dll, ...)
diff --git a/include/openssl/sslerr.h b/include/openssl/sslerr.h
index 82983d3c..701d61c6 100644
--- a/include/openssl/sslerr.h
+++ b/include/openssl/sslerr.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -70,6 +70,7 @@ int ERR_load_SSL_strings(void);
# define SSL_F_FINAL_EMS 486
# define SSL_F_FINAL_KEY_SHARE 503
# define SSL_F_FINAL_MAXFRAGMENTLEN 557
+# define SSL_F_FINAL_PSK 639
# define SSL_F_FINAL_RENEGOTIATE 483
# define SSL_F_FINAL_SERVER_NAME 558
# define SSL_F_FINAL_SIG_ALGS 497
@@ -592,6 +593,7 @@ int ERR_load_SSL_strings(void);
# define SSL_R_MISSING_ECDSA_SIGNING_CERT 381
# define SSL_R_MISSING_FATAL 256
# define SSL_R_MISSING_PARAMETERS 290
+# define SSL_R_MISSING_PSK_KEX_MODES_EXTENSION 310
# define SSL_R_MISSING_RSA_CERTIFICATE 168
# define SSL_R_MISSING_RSA_ENCRYPTING_CERT 169
# define SSL_R_MISSING_RSA_SIGNING_CERT 170
@@ -633,6 +635,7 @@ int ERR_load_SSL_strings(void);
# define SSL_R_NO_VERIFY_COOKIE_CALLBACK 403
# define SSL_R_NULL_SSL_CTX 195
# define SSL_R_NULL_SSL_METHOD_PASSED 196
+# define SSL_R_OCSP_CALLBACK_FAILURE 294
# define SSL_R_OLD_SESSION_CIPHER_NOT_RETURNED 197
# define SSL_R_OLD_SESSION_COMPRESSION_ALGORITHM_NOT_RETURNED 344
# define SSL_R_OVERFLOW_ERROR 237
diff --git a/include/openssl/x509v3err.h b/include/openssl/x509v3err.h
index 5f25442f..3b9f7139 100644
--- a/include/openssl/x509v3err.h
+++ b/include/openssl/x509v3err.h
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -38,6 +38,7 @@ int ERR_load_X509V3_strings(void);
# define X509V3_F_I2S_ASN1_IA5STRING 149
# define X509V3_F_I2S_ASN1_INTEGER 120
# define X509V3_F_I2V_AUTHORITY_INFO_ACCESS 138
+# define X509V3_F_I2V_AUTHORITY_KEYID 173
# define X509V3_F_LEVEL_ADD_NODE 168
# define X509V3_F_NOTICE_SECTION 132
# define X509V3_F_NREF_NOS 133
@@ -78,6 +79,7 @@ int ERR_load_X509V3_strings(void);
# define X509V3_F_V2I_TLS_FEATURE 165
# define X509V3_F_V3_GENERIC_EXTENSION 116
# define X509V3_F_X509V3_ADD1_I2D 140
+# define X509V3_F_X509V3_ADD_LEN_VALUE 174
# define X509V3_F_X509V3_ADD_VALUE 105
# define X509V3_F_X509V3_EXT_ADD 104
# define X509V3_F_X509V3_EXT_ADD_ALIAS 106
diff --git a/ssl/bio_ssl.c b/ssl/bio_ssl.c
index 53129bfb..67097d5c 100644
--- a/ssl/bio_ssl.c
+++ b/ssl/bio_ssl.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -76,13 +76,12 @@ static int ssl_free(BIO *a)
if (a == NULL)
return 0;
bs = BIO_get_data(a);
- if (bs->ssl != NULL)
- SSL_shutdown(bs->ssl);
if (BIO_get_shutdown(a)) {
+ if (bs->ssl != NULL)
+ SSL_shutdown(bs->ssl);
if (BIO_get_init(a))
SSL_free(bs->ssl);
- /* Clear all flags */
- BIO_clear_flags(a, ~0);
+ BIO_clear_flags(a, ~0); /* Clear all flags */
BIO_set_init(a, 0);
}
OPENSSL_free(bs);
@@ -451,6 +450,7 @@ BIO *BIO_new_ssl_connect(SSL_CTX *ctx)
goto err;
return ret;
err:
+ BIO_free(ssl);
BIO_free(con);
#endif
return NULL;
diff --git a/ssl/d1_lib.c b/ssl/d1_lib.c
index afbf0152..05b85c10 100644
--- a/ssl/d1_lib.c
+++ b/ssl/d1_lib.c
@@ -342,12 +342,11 @@ int dtls1_is_timer_expired(SSL *s)
return 1;
}
-void dtls1_double_timeout(SSL *s)
+static void dtls1_double_timeout(SSL *s)
{
s->d1->timeout_duration_us *= 2;
if (s->d1->timeout_duration_us > 60000000)
s->d1->timeout_duration_us = 60000000;
- dtls1_start_timer(s);
}
void dtls1_stop_timer(SSL *s)
diff --git a/ssl/record/rec_layer_s3.c b/ssl/record/rec_layer_s3.c
index b2a7a47e..8249b4ac 100644
--- a/ssl/record/rec_layer_s3.c
+++ b/ssl/record/rec_layer_s3.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -172,9 +172,9 @@ int ssl3_read_n(SSL *s, size_t n, size_t max, int extend, int clearold,
/*
* If extend == 0, obtain new n-byte packet; if extend == 1, increase
* packet by another n bytes. The packet will be in the sub-array of
- * s->s3->rbuf.buf specified by s->packet and s->packet_length. (If
- * s->rlayer.read_ahead is set, 'max' bytes may be stored in rbuf [plus
- * s->packet_length bytes if extend == 1].)
+ * s->rlayer.rbuf.buf specified by s->rlayer.packet and
+ * s->rlayer.packet_length. (If s->rlayer.read_ahead is set, 'max' bytes may
+ * be stored in rbuf [plus s->rlayer.packet_length bytes if extend == 1].)
* if clearold == 1, move the packet to the start of the buffer; if
* clearold == 0 then leave any old packets where they were
*/
diff --git a/ssl/record/ssl3_buffer.c b/ssl/record/ssl3_buffer.c
index 9b2a6964..b9ba25e0 100644
--- a/ssl/record/ssl3_buffer.c
+++ b/ssl/record/ssl3_buffer.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -74,7 +74,6 @@ int ssl3_setup_read_buffer(SSL *s)
b->len = len;
}
- RECORD_LAYER_set_packet(&s->rlayer, &(b->buf[0]));
return 1;
}
diff --git a/ssl/record/ssl3_record.c b/ssl/record/ssl3_record.c
index ab5d22aa..f1585447 100644
--- a/ssl/record/ssl3_record.c
+++ b/ssl/record/ssl3_record.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -405,7 +405,7 @@ int ssl3_get_record(SSL *s)
more = thisrr->length;
}
if (more > 0) {
- /* now s->packet_length == SSL3_RT_HEADER_LENGTH */
+ /* now s->rlayer.packet_length == SSL3_RT_HEADER_LENGTH */
rret = ssl3_read_n(s, more, more, 1, 0, &n);
if (rret <= 0)
@@ -416,9 +416,9 @@ int ssl3_get_record(SSL *s)
RECORD_LAYER_set_rstate(&s->rlayer, SSL_ST_READ_HEADER);
/*
- * At this point, s->packet_length == SSL3_RT_HEADER_LENGTH
- * + thisrr->length, or s->packet_length == SSL2_RT_HEADER_LENGTH
- * + thisrr->length and we have that many bytes in s->packet
+ * At this point, s->rlayer.packet_length == SSL3_RT_HEADER_LENGTH
+ * + thisrr->length, or s->rlayer.packet_length == SSL2_RT_HEADER_LENGTH
+ * + thisrr->length and we have that many bytes in s->rlayer.packet
*/
if (thisrr->rec_version == SSL2_VERSION) {
thisrr->input =
@@ -429,11 +429,11 @@ int ssl3_get_record(SSL *s)
}
/*
- * ok, we can now read from 's->packet' data into 'thisrr' thisrr->input
- * points at thisrr->length bytes, which need to be copied into
- * thisrr->data by either the decryption or by the decompression When
- * the data is 'copied' into the thisrr->data buffer, thisrr->input will
- * be pointed at the new buffer
+ * ok, we can now read from 's->rlayer.packet' data into 'thisrr'.
+ * thisrr->input points at thisrr->length bytes, which need to be copied
+ * into thisrr->data by either the decryption or by the decompression.
+ * When the data is 'copied' into the thisrr->data buffer,
+ * thisrr->input will be updated to point at the new buffer
*/
/*
@@ -1039,7 +1039,7 @@ int tls1_enc(SSL *s, SSL3_RECORD *recs, size_t n_recs, int sending)
if (SSL_IS_DTLS(s)) {
/* DTLS does not support pipelining */
- unsigned char dtlsseq[9], *p = dtlsseq;
+ unsigned char dtlsseq[8], *p = dtlsseq;
s2n(sending ? DTLS_RECORD_LAYER_get_w_epoch(&s->rlayer) :
DTLS_RECORD_LAYER_get_r_epoch(&s->rlayer), p);
@@ -1616,16 +1616,16 @@ int dtls1_process_record(SSL *s, DTLS1_BITMAP *bitmap)
sess = s->session;
/*
- * At this point, s->packet_length == SSL3_RT_HEADER_LNGTH + rr->length,
- * and we have that many bytes in s->packet
+ * At this point, s->rlayer.packet_length == SSL3_RT_HEADER_LNGTH + rr->length,
+ * and we have that many bytes in s->rlayer.packet
*/
rr->input = &(RECORD_LAYER_get_packet(&s->rlayer)[DTLS1_RT_HEADER_LENGTH]);
/*
- * ok, we can now read from 's->packet' data into 'rr' rr->input points
- * at rr->length bytes, which need to be copied into rr->data by either
- * the decryption or by the decompression When the data is 'copied' into
- * the rr->data buffer, rr->input will be pointed at the new buffer
+ * ok, we can now read from 's->rlayer.packet' data into 'rr'. rr->input
+ * points at rr->length bytes, which need to be copied into rr->data by
+ * either the decryption or by the decompression. When the data is 'copied'
+ * into the rr->data buffer, rr->input will be pointed at the new buffer
*/
/*
@@ -1947,7 +1947,7 @@ int dtls1_get_record(SSL *s)
if (rr->length >
RECORD_LAYER_get_packet_length(&s->rlayer) - DTLS1_RT_HEADER_LENGTH) {
- /* now s->packet_length == DTLS1_RT_HEADER_LENGTH */
+ /* now s->rlayer.packet_length == DTLS1_RT_HEADER_LENGTH */
more = rr->length;
rret = ssl3_read_n(s, more, more, 1, 1, &n);
/* this packet contained a partial record, dump it */
@@ -1963,7 +1963,7 @@ int dtls1_get_record(SSL *s)
}
/*
- * now n == rr->length, and s->packet_length ==
+ * now n == rr->length, and s->rlayer.packet_length ==
* DTLS1_RT_HEADER_LENGTH + rr->length
*/
}
diff --git a/ssl/s3_cbc.c b/ssl/s3_cbc.c
index aa7d63f8..c95dcd9f 100644
--- a/ssl/s3_cbc.c
+++ b/ssl/s3_cbc.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2012-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2012-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -128,7 +128,7 @@ char ssl3_cbc_record_digest_supported(const EVP_MD_CTX *ctx)
int ssl3_cbc_digest_record(const EVP_MD_CTX *ctx,
unsigned char *md_out,
size_t *md_out_size,
- const unsigned char header[13],
+ const unsigned char *header,
const unsigned char *data,
size_t data_plus_mac_size,
size_t data_plus_mac_plus_padding_size,
diff --git a/ssl/s3_lib.c b/ssl/s3_lib.c
index b256a4b9..e4cf007f 100644
--- a/ssl/s3_lib.c
+++ b/ssl/s3_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -2171,7 +2171,7 @@ static SSL_CIPHER ssl3_ciphers[] = {
TLS1_TXT_DHE_DSS_WITH_CAMELLIA_128_CBC_SHA256,
TLS1_RFC_DHE_DSS_WITH_CAMELLIA_128_CBC_SHA256,
TLS1_CK_DHE_DSS_WITH_CAMELLIA_128_CBC_SHA256,
- SSL_kEDH,
+ SSL_kDHE,
SSL_aDSS,
SSL_CAMELLIA128,
SSL_SHA256,
@@ -2187,7 +2187,7 @@ static SSL_CIPHER ssl3_ciphers[] = {
TLS1_TXT_DHE_RSA_WITH_CAMELLIA_128_CBC_SHA256,
TLS1_RFC_DHE_RSA_WITH_CAMELLIA_128_CBC_SHA256,
TLS1_CK_DHE_RSA_WITH_CAMELLIA_128_CBC_SHA256,
- SSL_kEDH,
+ SSL_kDHE,
SSL_aRSA,
SSL_CAMELLIA128,
SSL_SHA256,
@@ -2203,7 +2203,7 @@ static SSL_CIPHER ssl3_ciphers[] = {
TLS1_TXT_ADH_WITH_CAMELLIA_128_CBC_SHA256,
TLS1_RFC_ADH_WITH_CAMELLIA_128_CBC_SHA256,
TLS1_CK_ADH_WITH_CAMELLIA_128_CBC_SHA256,
- SSL_kEDH,
+ SSL_kDHE,
SSL_aNULL,
SSL_CAMELLIA128,
SSL_SHA256,
@@ -2235,7 +2235,7 @@ static SSL_CIPHER ssl3_ciphers[] = {
TLS1_TXT_DHE_DSS_WITH_CAMELLIA_256_CBC_SHA256,
TLS1_RFC_DHE_DSS_WITH_CAMELLIA_256_CBC_SHA256,
TLS1_CK_DHE_DSS_WITH_CAMELLIA_256_CBC_SHA256,
- SSL_kEDH,
+ SSL_kDHE,
SSL_aDSS,
SSL_CAMELLIA256,
SSL_SHA256,
@@ -2251,7 +2251,7 @@ static SSL_CIPHER ssl3_ciphers[] = {
TLS1_TXT_DHE_RSA_WITH_CAMELLIA_256_CBC_SHA256,
TLS1_RFC_DHE_RSA_WITH_CAMELLIA_256_CBC_SHA256,
TLS1_CK_DHE_RSA_WITH_CAMELLIA_256_CBC_SHA256,
- SSL_kEDH,
+ SSL_kDHE,
SSL_aRSA,
SSL_CAMELLIA256,
SSL_SHA256,
@@ -2267,7 +2267,7 @@ static SSL_CIPHER ssl3_ciphers[] = {
TLS1_TXT_ADH_WITH_CAMELLIA_256_CBC_SHA256,
TLS1_RFC_ADH_WITH_CAMELLIA_256_CBC_SHA256,
TLS1_CK_ADH_WITH_CAMELLIA_256_CBC_SHA256,
- SSL_kEDH,
+ SSL_kDHE,
SSL_aNULL,
SSL_CAMELLIA256,
SSL_SHA256,
diff --git a/ssl/s3_msg.c b/ssl/s3_msg.c
index 339fb277..707e962d 100644
--- a/ssl/s3_msg.c
+++ b/ssl/s3_msg.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -48,6 +48,8 @@ int ssl3_send_alert(SSL *s, int level, int desc)
* protocol_version alerts */
if (desc < 0)
return -1;
+ if (s->shutdown & SSL_SENT_SHUTDOWN && desc != SSL_AD_CLOSE_NOTIFY)
+ return -1;
/* If a fatal one, remove from cache */
if ((level == SSL3_AL_FATAL) && (s->session != NULL))
SSL_CTX_remove_session(s->session_ctx, s->session);
diff --git a/ssl/ssl_asn1.c b/ssl/ssl_asn1.c
index 799fee77..92643641 100644
--- a/ssl/ssl_asn1.c
+++ b/ssl/ssl_asn1.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2005 Nokia. All rights reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -225,7 +225,7 @@ static int ssl_session_strndup(char **pdst, ASN1_OCTET_STRING *src)
static int ssl_session_memcpy(unsigned char *dst, size_t *pdstlen,
ASN1_OCTET_STRING *src, size_t maxlen)
{
- if (src == NULL) {
+ if (src == NULL || src->length == 0) {
*pdstlen = 0;
return 1;
}
diff --git a/ssl/ssl_cert.c b/ssl/ssl_cert.c
index 5d3e83f3..eba96b20 100644
--- a/ssl/ssl_cert.c
+++ b/ssl/ssl_cert.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -876,18 +876,36 @@ int ssl_cert_set_cert_store(CERT *c, X509_STORE *store, int chain, int ref)
return 1;
}
-static int ssl_security_default_callback(const SSL *s, const SSL_CTX *ctx,
- int op, int bits, int nid, void *other,
- void *ex)
+int ssl_get_security_level_bits(const SSL *s, const SSL_CTX *ctx, int *levelp)
{
- int level, minbits;
- static const int minbits_table[5] = { 80, 112, 128, 192, 256 };
- if (ctx)
+ int level;
+ static const int minbits_table[5 + 1] = { 0, 80, 112, 128, 192, 256 };
+
+ if (ctx != NULL)
level = SSL_CTX_get_security_level(ctx);
else
level = SSL_get_security_level(s);
- if (level <= 0) {
+ if (level > 5)
+ level = 5;
+ else if (level < 0)
+ level = 0;
+
+ if (levelp != NULL)
+ *levelp = level;
+
+ return minbits_table[level];
+}
+
+static int ssl_security_default_callback(const SSL *s, const SSL_CTX *ctx,
+ int op, int bits, int nid, void *other,
+ void *ex)
+{
+ int level, minbits, pfs_mask;
+
+ minbits = ssl_get_security_level_bits(s, ctx, &level);
+
+ if (level == 0) {
/*
* No EDH keys weaker than 1024-bits even at level 0, otherwise,
* anything goes.
@@ -896,9 +914,6 @@ static int ssl_security_default_callback(const SSL *s, const SSL_CTX *ctx,
return 0;
return 1;
}
- if (level > 5)
- level = 5;
- minbits = minbits_table[level - 1];
switch (op) {
case SSL_SECOP_CIPHER_SUPPORTED:
case SSL_SECOP_CIPHER_SHARED:
@@ -921,8 +936,9 @@ static int ssl_security_default_callback(const SSL *s, const SSL_CTX *ctx,
if (level >= 2 && c->algorithm_enc == SSL_RC4)
return 0;
/* Level 3: forward secure ciphersuites only */
+ pfs_mask = SSL_kDHE | SSL_kECDHE | SSL_kDHEPSK | SSL_kECDHEPSK;
if (level >= 3 && c->min_tls != TLS1_3_VERSION &&
- !(c->algorithm_mkey & (SSL_kEDH | SSL_kEECDH)))
+ !(c->algorithm_mkey & pfs_mask))
return 0;
break;
}
diff --git a/ssl/ssl_ciph.c b/ssl/ssl_ciph.c
index 735a483c..55f919fc 100644
--- a/ssl/ssl_ciph.c
+++ b/ssl/ssl_ciph.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -1601,6 +1601,7 @@ STACK_OF(SSL_CIPHER) *ssl_create_cipher_list(const SSL_METHOD *ssl_method,
for (i = 0; i < sk_SSL_CIPHER_num(tls13_ciphersuites); i++) {
if (!sk_SSL_CIPHER_push(cipherstack,
sk_SSL_CIPHER_value(tls13_ciphersuites, i))) {
+ OPENSSL_free(co_list);
sk_SSL_CIPHER_free(cipherstack);
return NULL;
}
diff --git a/ssl/ssl_err.c b/ssl/ssl_err.c
index 4b12ed14..324f2ccb 100644
--- a/ssl/ssl_err.c
+++ b/ssl/ssl_err.c
@@ -1,6 +1,6 @@
/*
* Generated by util/mkerr.pl DO NOT EDIT
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -85,6 +85,7 @@ static const ERR_STRING_DATA SSL_str_functs[] = {
{ERR_PACK(ERR_LIB_SSL, SSL_F_FINAL_KEY_SHARE, 0), "final_key_share"},
{ERR_PACK(ERR_LIB_SSL, SSL_F_FINAL_MAXFRAGMENTLEN, 0),
"final_maxfragmentlen"},
+ {ERR_PACK(ERR_LIB_SSL, SSL_F_FINAL_PSK, 0), "final_psk"},
{ERR_PACK(ERR_LIB_SSL, SSL_F_FINAL_RENEGOTIATE, 0), "final_renegotiate"},
{ERR_PACK(ERR_LIB_SSL, SSL_F_FINAL_SERVER_NAME, 0), "final_server_name"},
{ERR_PACK(ERR_LIB_SSL, SSL_F_FINAL_SIG_ALGS, 0), "final_sig_algs"},
@@ -948,6 +949,8 @@ static const ERR_STRING_DATA SSL_str_reasons[] = {
"missing ecdsa signing cert"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_MISSING_FATAL), "missing fatal"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_MISSING_PARAMETERS), "missing parameters"},
+ {ERR_PACK(ERR_LIB_SSL, 0, SSL_R_MISSING_PSK_KEX_MODES_EXTENSION),
+ "missing psk kex modes extension"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_MISSING_RSA_CERTIFICATE),
"missing rsa certificate"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_MISSING_RSA_ENCRYPTING_CERT),
@@ -1018,6 +1021,8 @@ static const ERR_STRING_DATA SSL_str_reasons[] = {
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_NULL_SSL_CTX), "null ssl ctx"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_NULL_SSL_METHOD_PASSED),
"null ssl method passed"},
+ {ERR_PACK(ERR_LIB_SSL, 0, SSL_R_OCSP_CALLBACK_FAILURE),
+ "ocsp callback failure"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_OLD_SESSION_CIPHER_NOT_RETURNED),
"old session cipher not returned"},
{ERR_PACK(ERR_LIB_SSL, 0, SSL_R_OLD_SESSION_COMPRESSION_ALGORITHM_NOT_RETURNED),
diff --git a/ssl/ssl_lib.c b/ssl/ssl_lib.c
index 58f8f3c1..9c411a32 100644
--- a/ssl/ssl_lib.c
+++ b/ssl/ssl_lib.c
@@ -1684,6 +1684,8 @@ static int ssl_start_async_job(SSL *s, struct ssl_async_args *args,
if (s->waitctx == NULL)
return -1;
}
+
+ s->rwstate = SSL_NOTHING;
switch (ASYNC_start_job(&s->job, s->waitctx, &ret, func, args,
sizeof(struct ssl_async_args))) {
case ASYNC_ERR:
@@ -2119,6 +2121,11 @@ int SSL_key_update(SSL *s, int updatetype)
return 0;
}
+ if (RECORD_LAYER_write_pending(&s->rlayer)) {
+ SSLerr(SSL_F_SSL_KEY_UPDATE, SSL_R_BAD_WRITE_RETRY);
+ return 0;
+ }
+
ossl_statem_set_in_init(s, 1);
s->key_update = updatetype;
return 1;
@@ -2829,6 +2836,19 @@ void SSL_CTX_set_npn_select_cb(SSL_CTX *ctx,
}
#endif
+static int alpn_value_ok(const unsigned char *protos, unsigned int protos_len)
+{
+ unsigned int idx;
+
+ if (protos_len < 2 || protos == NULL)
+ return 0;
+
+ for (idx = 0; idx < protos_len; idx += protos[idx] + 1) {
+ if (protos[idx] == 0)
+ return 0;
+ }
+ return idx == protos_len;
+}
/*
* SSL_CTX_set_alpn_protos sets the ALPN protocol list on |ctx| to |protos|.
* |protos| must be in wire-format (i.e. a series of non-empty, 8-bit
@@ -2837,13 +2857,25 @@ void SSL_CTX_set_npn_select_cb(SSL_CTX *ctx,
int SSL_CTX_set_alpn_protos(SSL_CTX *ctx, const unsigned char *protos,
unsigned int protos_len)
{
- OPENSSL_free(ctx->ext.alpn);
- ctx->ext.alpn = OPENSSL_memdup(protos, protos_len);
- if (ctx->ext.alpn == NULL) {
+ unsigned char *alpn;
+
+ if (protos_len == 0 || protos == NULL) {
+ OPENSSL_free(ctx->ext.alpn);
+ ctx->ext.alpn = NULL;
ctx->ext.alpn_len = 0;
+ return 0;
+ }
+ /* Not valid per RFC */
+ if (!alpn_value_ok(protos, protos_len))
+ return 1;
+
+ alpn = OPENSSL_memdup(protos, protos_len);
+ if (alpn == NULL) {
SSLerr(SSL_F_SSL_CTX_SET_ALPN_PROTOS, ERR_R_MALLOC_FAILURE);
return 1;
}
+ OPENSSL_free(ctx->ext.alpn);
+ ctx->ext.alpn = alpn;
ctx->ext.alpn_len = protos_len;
return 0;
@@ -2857,13 +2889,25 @@ int SSL_CTX_set_alpn_protos(SSL_CTX *ctx, const unsigned char *protos,
int SSL_set_alpn_protos(SSL *ssl, const unsigned char *protos,
unsigned int protos_len)
{
- OPENSSL_free(ssl->ext.alpn);
- ssl->ext.alpn = OPENSSL_memdup(protos, protos_len);
- if (ssl->ext.alpn == NULL) {
+ unsigned char *alpn;
+
+ if (protos_len == 0 || protos == NULL) {
+ OPENSSL_free(ssl->ext.alpn);
+ ssl->ext.alpn = NULL;
ssl->ext.alpn_len = 0;
+ return 0;
+ }
+ /* Not valid per RFC */
+ if (!alpn_value_ok(protos, protos_len))
+ return 1;
+
+ alpn = OPENSSL_memdup(protos, protos_len);
+ if (alpn == NULL) {
SSLerr(SSL_F_SSL_SET_ALPN_PROTOS, ERR_R_MALLOC_FAILURE);
return 1;
}
+ OPENSSL_free(ssl->ext.alpn);
+ ssl->ext.alpn = alpn;
ssl->ext.alpn_len = protos_len;
return 0;
@@ -4520,8 +4564,11 @@ int ssl_handshake_hash(SSL *s, unsigned char *out, size_t outlen,
}
ctx = EVP_MD_CTX_new();
- if (ctx == NULL)
+ if (ctx == NULL) {
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_SSL_HANDSHAKE_HASH,
+ ERR_R_INTERNAL_ERROR);
goto err;
+ }
if (!EVP_MD_CTX_copy_ex(ctx, hdgst)
|| EVP_DigestFinal_ex(ctx, out, NULL) <= 0) {
diff --git a/ssl/ssl_local.h b/ssl/ssl_local.h
index 8c3542a5..9f346e30 100644
--- a/ssl/ssl_local.h
+++ b/ssl/ssl_local.h
@@ -2305,6 +2305,7 @@ __owur int ssl_cert_set_cert_store(CERT *c, X509_STORE *store, int chain,
__owur int ssl_security(const SSL *s, int op, int bits, int nid, void *other);
__owur int ssl_ctx_security(const SSL_CTX *ctx, int op, int bits, int nid,
void *other);
+int ssl_get_security_level_bits(const SSL *s, const SSL_CTX *ctx, int *levelp);
__owur int ssl_cert_lookup_by_nid(int nid, size_t *pidx);
__owur const SSL_CERT_LOOKUP *ssl_cert_lookup_by_pkey(const EVP_PKEY *pk,
@@ -2426,7 +2427,6 @@ __owur int dtls1_handle_timeout(SSL *s);
void dtls1_start_timer(SSL *s);
void dtls1_stop_timer(SSL *s);
__owur int dtls1_is_timer_expired(SSL *s);
-void dtls1_double_timeout(SSL *s);
__owur int dtls_raw_hello_verify_request(WPACKET *pkt, unsigned char *cookie,
size_t cookie_len);
__owur size_t dtls1_min_mtu(SSL *s);
@@ -2622,7 +2622,7 @@ __owur char ssl3_cbc_record_digest_supported(const EVP_MD_CTX *ctx);
__owur int ssl3_cbc_digest_record(const EVP_MD_CTX *ctx,
unsigned char *md_out,
size_t *md_out_size,
- const unsigned char header[13],
+ const unsigned char *header,
const unsigned char *data,
size_t data_plus_mac_size,
size_t data_plus_mac_plus_padding_size,
diff --git a/ssl/statem/README b/ssl/statem/README
index 86cc0663..bafe3306 100644
--- a/ssl/statem/README
+++ b/ssl/statem/README
@@ -55,7 +55,7 @@ Conceptually the state machine component is designed as follows:
| | | |
____________V_______V________ ________V______V_______________
| | | |
- | statem_both.c | | statem_dtls.c |
+ | statem_lib.c | | statem_dtls.c |
| | | |
| Non core functions common | | Non core functions common to |
| to both servers and clients | | both DTLS servers and clients |
diff --git a/ssl/statem/extensions.c b/ssl/statem/extensions.c
index e1a3b1db..0f39275b 100644
--- a/ssl/statem/extensions.c
+++ b/ssl/statem/extensions.c
@@ -18,6 +18,7 @@ static int final_renegotiate(SSL *s, unsigned int context, int sent);
static int init_server_name(SSL *s, unsigned int context);
static int final_server_name(SSL *s, unsigned int context, int sent);
#ifndef OPENSSL_NO_EC
+static int init_ec_point_formats(SSL *s, unsigned int context);
static int final_ec_pt_formats(SSL *s, unsigned int context, int sent);
#endif
static int init_session_ticket(SSL *s, unsigned int context);
@@ -56,6 +57,7 @@ static int final_sig_algs(SSL *s, unsigned int context, int sent);
static int final_early_data(SSL *s, unsigned int context, int sent);
static int final_maxfragmentlen(SSL *s, unsigned int context, int sent);
static int init_post_handshake_auth(SSL *s, unsigned int context);
+static int final_psk(SSL *s, unsigned int context, int sent);
/* Structure to define a built-in extension */
typedef struct extensions_definition_st {
@@ -158,7 +160,7 @@ static const EXTENSION_DEFINITION ext_defs[] = {
TLSEXT_TYPE_ec_point_formats,
SSL_EXT_CLIENT_HELLO | SSL_EXT_TLS1_2_SERVER_HELLO
| SSL_EXT_TLS1_2_AND_BELOW_ONLY,
- NULL, tls_parse_ctos_ec_pt_formats, tls_parse_stoc_ec_pt_formats,
+ init_ec_point_formats, tls_parse_ctos_ec_pt_formats, tls_parse_stoc_ec_pt_formats,
tls_construct_stoc_ec_pt_formats, tls_construct_ctos_ec_pt_formats,
final_ec_pt_formats
},
@@ -389,7 +391,7 @@ static const EXTENSION_DEFINITION ext_defs[] = {
SSL_EXT_CLIENT_HELLO | SSL_EXT_TLS1_3_SERVER_HELLO
| SSL_EXT_TLS_IMPLEMENTATION_ONLY | SSL_EXT_TLS1_3_ONLY,
NULL, tls_parse_ctos_psk, tls_parse_stoc_psk, tls_construct_stoc_psk,
- tls_construct_ctos_psk, NULL
+ tls_construct_ctos_psk, final_psk
}
};
@@ -1026,6 +1028,15 @@ static int final_server_name(SSL *s, unsigned int context, int sent)
}
#ifndef OPENSSL_NO_EC
+static int init_ec_point_formats(SSL *s, unsigned int context)
+{
+ OPENSSL_free(s->ext.peer_ecpointformats);
+ s->ext.peer_ecpointformats = NULL;
+ s->ext.peer_ecpointformats_len = 0;
+
+ return 1;
+}
+
static int final_ec_pt_formats(SSL *s, unsigned int context, int sent)
{
unsigned long alg_k, alg_a;
@@ -1718,3 +1729,19 @@ static int init_post_handshake_auth(SSL *s, unsigned int context)
return 1;
}
+
+/*
+ * If clients offer "pre_shared_key" without a "psk_key_exchange_modes"
+ * extension, servers MUST abort the handshake.
+ */
+static int final_psk(SSL *s, unsigned int context, int sent)
+{
+ if (s->server && sent && s->clienthello != NULL
+ && !s->clienthello->pre_proc_exts[TLSEXT_IDX_psk_kex_modes].present) {
+ SSLfatal(s, TLS13_AD_MISSING_EXTENSION, SSL_F_FINAL_PSK,
+ SSL_R_MISSING_PSK_KEX_MODES_EXTENSION);
+ return 0;
+ }
+
+ return 1;
+}
diff --git a/ssl/statem/extensions_clnt.c b/ssl/statem/extensions_clnt.c
index ce8a7579..9d38ac23 100644
--- a/ssl/statem/extensions_clnt.c
+++ b/ssl/statem/extensions_clnt.c
@@ -1741,7 +1741,9 @@ int tls_parse_stoc_etm(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
/* Ignore if inappropriate ciphersuite */
if (!(s->options & SSL_OP_NO_ENCRYPT_THEN_MAC)
&& s->s3->tmp.new_cipher->algorithm_mac != SSL_AEAD
- && s->s3->tmp.new_cipher->algorithm_enc != SSL_RC4)
+ && s->s3->tmp.new_cipher->algorithm_enc != SSL_RC4
+ && s->s3->tmp.new_cipher->algorithm_enc != SSL_eGOST2814789CNT
+ && s->s3->tmp.new_cipher->algorithm_enc != SSL_eGOST2814789CNT12)
s->ext.use_etm = 1;
return 1;
@@ -1872,6 +1874,7 @@ int tls_parse_stoc_key_share(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
if (skey == NULL || EVP_PKEY_copy_parameters(skey, ckey) <= 0) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_KEY_SHARE,
ERR_R_MALLOC_FAILURE);
+ EVP_PKEY_free(skey);
return 0;
}
if (!EVP_PKEY_set1_tls_encodedpoint(skey, PACKET_data(&encoded_pt),
diff --git a/ssl/statem/extensions_cust.c b/ssl/statem/extensions_cust.c
index a0ba18ef..1fe226f9 100644
--- a/ssl/statem/extensions_cust.c
+++ b/ssl/statem/extensions_cust.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2014-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2014-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -146,11 +146,12 @@ int custom_ext_parse(SSL *s, unsigned int context, unsigned int ext_type,
}
/*
- * Extensions received in the ClientHello are marked with the
- * SSL_EXT_FLAG_RECEIVED. This is so we know to add the equivalent
- * extensions in the ServerHello/EncryptedExtensions message
+ * Extensions received in the ClientHello or CertificateRequest are marked
+ * with the SSL_EXT_FLAG_RECEIVED. This is so we know to add the equivalent
+ * extensions in the response messages
*/
- if ((context & SSL_EXT_CLIENT_HELLO) != 0)
+ if ((context & (SSL_EXT_CLIENT_HELLO | SSL_EXT_TLS1_3_CERTIFICATE_REQUEST))
+ != 0)
meth->ext_flags |= SSL_EXT_FLAG_RECEIVED;
/* If no parse function set return success */
@@ -192,7 +193,7 @@ int custom_ext_add(SSL *s, int context, WPACKET *pkt, X509 *x, size_t chainidx,
| SSL_EXT_TLS1_3_ENCRYPTED_EXTENSIONS
| SSL_EXT_TLS1_3_CERTIFICATE
| SSL_EXT_TLS1_3_HELLO_RETRY_REQUEST)) != 0) {
- /* Only send extensions present in ClientHello. */
+ /* Only send extensions present in ClientHello/CertificateRequest */
if (!(meth->ext_flags & SSL_EXT_FLAG_RECEIVED))
continue;
}
diff --git a/ssl/statem/extensions_srvr.c b/ssl/statem/extensions_srvr.c
index 3c7395c0..04f64f81 100644
--- a/ssl/statem/extensions_srvr.c
+++ b/ssl/statem/extensions_srvr.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -1714,6 +1714,13 @@ EXT_RETURN tls_construct_stoc_key_share(SSL *s, WPACKET *pkt,
}
return EXT_RETURN_NOT_SENT;
}
+ if (s->hit && (s->ext.psk_kex_mode & TLSEXT_KEX_MODE_FLAG_KE_DHE) == 0) {
+ /*
+ * PSK ('hit') and explicitly not doing DHE (if the client sent the
+ * DHE option we always take it); don't send key share.
+ */
+ return EXT_RETURN_NOT_SENT;
+ }
if (!WPACKET_put_bytes_u16(pkt, TLSEXT_TYPE_key_share)
|| !WPACKET_start_sub_packet_u16(pkt)
diff --git a/ssl/statem/statem_clnt.c b/ssl/statem/statem_clnt.c
index de58f1a4..d1a39698 100644
--- a/ssl/statem/statem_clnt.c
+++ b/ssl/statem/statem_clnt.c
@@ -1001,7 +1001,8 @@ size_t ossl_statem_client_max_message_size(SSL *s)
return CCS_MAX_LENGTH;
case TLS_ST_CR_SESSION_TICKET:
- return SSL3_RT_MAX_PLAIN_LENGTH;
+ return (SSL_IS_TLS13(s)) ? SESSION_TICKET_MAX_LENGTH_TLS13
+ : SESSION_TICKET_MAX_LENGTH_TLS12;
case TLS_ST_CR_FINISHED:
return FINISHED_MAX_LENGTH;
@@ -2833,7 +2834,7 @@ int tls_process_initial_server_flight(SSL *s)
if (ret < 0) {
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS_PROCESS_INITIAL_SERVER_FLIGHT,
- ERR_R_MALLOC_FAILURE);
+ SSL_R_OCSP_CALLBACK_FAILURE);
return 0;
}
}
diff --git a/ssl/statem/statem_lib.c b/ssl/statem/statem_lib.c
index c3b6f8f4..695caab3 100644
--- a/ssl/statem/statem_lib.c
+++ b/ssl/statem/statem_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -2410,6 +2410,8 @@ int tls13_save_handshake_digest_for_pha(SSL *s)
SSLfatal(s, SSL_AD_INTERNAL_ERROR,
SSL_F_TLS13_SAVE_HANDSHAKE_DIGEST_FOR_PHA,
ERR_R_INTERNAL_ERROR);
+ EVP_MD_CTX_free(s->pha_dgst);
+ s->pha_dgst = NULL;
return 0;
}
}
diff --git a/ssl/statem/statem_local.h b/ssl/statem/statem_local.h
index e27c0c13..eae88053 100644
--- a/ssl/statem/statem_local.h
+++ b/ssl/statem/statem_local.h
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -22,6 +22,8 @@
#define SERVER_HELLO_MAX_LENGTH 20000
#define HELLO_RETRY_REQUEST_MAX_LENGTH 20000
#define ENCRYPTED_EXTENSIONS_MAX_LENGTH 20000
+#define SESSION_TICKET_MAX_LENGTH_TLS13 131338
+#define SESSION_TICKET_MAX_LENGTH_TLS12 65541
#define SERVER_KEY_EXCH_MAX_LENGTH 102400
#define SERVER_HELLO_DONE_MAX_LENGTH 0
#define KEY_UPDATE_MAX_LENGTH 1
diff --git a/ssl/statem/statem_srvr.c b/ssl/statem/statem_srvr.c
index fec12f61..d701c46b 100644
--- a/ssl/statem/statem_srvr.c
+++ b/ssl/statem/statem_srvr.c
@@ -3753,6 +3753,7 @@ MSG_PROCESS_RETURN tls_process_client_certificate(SSL *s, PACKET *pkt)
sk_X509_pop_free(s->session->peer_chain, X509_free);
s->session->peer_chain = sk;
+ sk = NULL;
/*
* Freeze the handshake buffer. For <TLS1.3 we do this after the CKE
@@ -3767,7 +3768,6 @@ MSG_PROCESS_RETURN tls_process_client_certificate(SSL *s, PACKET *pkt)
* Inconsistency alert: cert_chain does *not* include the peer's own
* certificate, while we do include it in statem_clnt.c
*/
- sk = NULL;
/* Save the current hash state for when we receive the CertificateVerify */
if (SSL_IS_TLS13(s)) {
@@ -4139,9 +4139,12 @@ int tls_construct_new_session_ticket(SSL *s, WPACKET *pkt)
}
if (tctx->generate_ticket_cb != NULL &&
- tctx->generate_ticket_cb(s, tctx->ticket_cb_data) == 0)
+ tctx->generate_ticket_cb(s, tctx->ticket_cb_data) == 0) {
+ SSLfatal(s, SSL_AD_INTERNAL_ERROR,
+ SSL_F_TLS_CONSTRUCT_NEW_SESSION_TICKET,
+ ERR_R_INTERNAL_ERROR);
goto err;
-
+ }
/*
* If we are using anti-replay protection then we behave as if
* SSL_OP_NO_TICKET is set - we are caching tickets anyway so there
diff --git a/ssl/t1_lib.c b/ssl/t1_lib.c
index 48d46f8a..b1d3add1 100644
--- a/ssl/t1_lib.c
+++ b/ssl/t1_lib.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -2441,7 +2441,8 @@ DH *ssl_get_auto_dh(SSL *s)
{
DH *dhp = NULL;
BIGNUM *p = NULL, *g = NULL;
- int dh_secbits = 80;
+ int dh_secbits = 80, sec_level_bits;
+
if (s->cert->dh_tmp_auto != 2) {
if (s->s3->tmp.new_cipher->algorithm_auth & (SSL_aNULL | SSL_aPSK)) {
if (s->s3->tmp.new_cipher->strength_bits == 256)
@@ -2464,6 +2465,12 @@ DH *ssl_get_auto_dh(SSL *s)
BN_free(g);
return NULL;
}
+
+ /* Do not pick a prime that is too weak for the current security level */
+ sec_level_bits = ssl_get_security_level_bits(s, NULL, NULL);
+ if (dh_secbits < sec_level_bits)
+ dh_secbits = sec_level_bits;
+
if (dh_secbits >= 192)
p = BN_get_rfc3526_prime_8192(NULL);
else if (dh_secbits >= 152)
diff --git a/test/afalgtest.c b/test/afalgtest.c
index adb2977f..724afb4d 100644
--- a/test/afalgtest.c
+++ b/test/afalgtest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -21,26 +21,7 @@
#ifndef OPENSSL_NO_ENGINE
static ENGINE *e;
-#endif
-
-#ifndef OPENSSL_NO_AFALGENG
-# include <linux/version.h>
-# define K_MAJ 4
-# define K_MIN1 1
-# define K_MIN2 0
-# if LINUX_VERSION_CODE < KERNEL_VERSION(K_MAJ, K_MIN1, K_MIN2)
-/*
- * If we get here then it looks like there is a mismatch between the linux
- * headers and the actual kernel version, so we have tried to compile with
- * afalg support, but then skipped it in e_afalg.c. As far as this test is
- * concerned we behave as if we had been configured without support
- */
-# define OPENSSL_NO_AFALGENG
-# endif
-#endif
-
-#ifndef OPENSSL_NO_AFALGENG
static int test_afalg_aes_cbc(int keysize_idx)
{
EVP_CIPHER_CTX *ctx;
@@ -112,9 +93,25 @@ static int test_afalg_aes_cbc(int keysize_idx)
EVP_CIPHER_CTX_free(ctx);
return ret;
}
-#endif
-#ifndef OPENSSL_NO_ENGINE
+static int test_pr16743(void)
+{
+ int ret = 0;
+ const EVP_CIPHER * cipher;
+ EVP_CIPHER_CTX *ctx;
+
+ if (!TEST_true(ENGINE_init(e)))
+ return 0;
+ cipher = ENGINE_get_cipher(e, NID_aes_128_cbc);
+ ctx = EVP_CIPHER_CTX_new();
+ if (cipher != NULL && ctx != NULL)
+ ret = EVP_EncryptInit_ex(ctx, cipher, e, NULL, NULL);
+ TEST_true(ret);
+ EVP_CIPHER_CTX_free(ctx);
+ ENGINE_finish(e);
+ return ret;
+}
+
int global_init(void)
{
ENGINE_load_builtin_engines();
@@ -132,9 +129,8 @@ int setup_tests(void)
/* Probably a platform env issue, not a test failure. */
TEST_info("Can't load AFALG engine");
} else {
-# ifndef OPENSSL_NO_AFALGENG
ADD_ALL_TESTS(test_afalg_aes_cbc, 3);
-# endif
+ ADD_TEST(test_pr16743);
}
#endif
diff --git a/test/asn1_decode_test.c b/test/asn1_decode_test.c
index 18f0ca12..de4dff63 100644
--- a/test/asn1_decode_test.c
+++ b/test/asn1_decode_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -12,6 +12,7 @@
#include <openssl/rand.h>
#include <openssl/asn1t.h>
+#include <openssl/obj_mac.h>
#include "internal/numbers.h"
#include "testutil.h"
@@ -195,6 +196,30 @@ static int test_invalid_template(void)
return 0;
}
+static int test_reuse_asn1_object(void)
+{
+ static unsigned char cn_der[] = { 0x06, 0x03, 0x55, 0x04, 0x06 };
+ static unsigned char oid_der[] = {
+ 0x06, 0x06, 0x2a, 0x03, 0x04, 0x05, 0x06, 0x07
+ };
+ int ret = 0;
+ ASN1_OBJECT *obj;
+ unsigned char const *p = oid_der;
+
+ /* Create an object that owns dynamically allocated 'sn' and 'ln' fields */
+
+ if (!TEST_ptr(obj = ASN1_OBJECT_create(NID_undef, cn_der, sizeof(cn_der),
+ "C", "countryName")))
+ goto err;
+ /* reuse obj - this should not leak sn and ln */
+ if (!TEST_ptr(d2i_ASN1_OBJECT(&obj, &p, sizeof(oid_der))))
+ goto err;
+ ret = 1;
+err:
+ ASN1_OBJECT_free(obj);
+ return ret;
+}
+
int setup_tests(void)
{
#if OPENSSL_API_COMPAT < 0x10200000L
@@ -205,5 +230,6 @@ int setup_tests(void)
ADD_TEST(test_int64);
ADD_TEST(test_uint64);
ADD_TEST(test_invalid_template);
+ ADD_TEST(test_reuse_asn1_object);
return 1;
}
diff --git a/test/asn1_internal_test.c b/test/asn1_internal_test.c
index 865e0584..7414a444 100644
--- a/test/asn1_internal_test.c
+++ b/test/asn1_internal_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1999-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1999-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -107,9 +107,36 @@ static int test_standard_methods(void)
return 0;
}
+/**********************************************************************
+ *
+ * Regression test for issue where OBJ_nid2obj does not raise
+ * an error when a NID is not registered.
+ *
+ ***/
+static int test_nid2obj_nonexist(void)
+{
+ ASN1_OBJECT *obj;
+ unsigned long err;
+
+ obj = OBJ_nid2obj(INT_MAX);
+ if (!TEST_true(obj == NULL))
+ return 0;
+
+ err = ERR_get_error();
+
+ if (!TEST_int_eq(ERR_GET_FUNC(err), OBJ_F_OBJ_NID2OBJ))
+ return 0;
+
+ if (!TEST_int_eq(ERR_GET_REASON(err), OBJ_R_UNKNOWN_NID))
+ return 0;
+
+ return 1;
+}
+
int setup_tests(void)
{
ADD_TEST(test_tbl_standard);
ADD_TEST(test_standard_methods);
+ ADD_TEST(test_nid2obj_nonexist);
return 1;
}
diff --git a/test/bio_memleak_test.c b/test/bio_memleak_test.c
index 383c82d1..610f8feb 100644
--- a/test/bio_memleak_test.c
+++ b/test/bio_memleak_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2018-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2018-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,6 +10,8 @@
#include <string.h>
#include <openssl/buffer.h>
#include <openssl/bio.h>
+#include <openssl/pkcs7.h>
+#include <openssl/obj_mac.h>
#include "testutil.h"
@@ -35,7 +37,7 @@ static int test_bio_memleak(void)
goto finish;
ok = 1;
-finish:
+ finish:
BIO_free(bio);
return ok;
}
@@ -62,7 +64,7 @@ static int test_bio_get_mem(void)
goto finish;
ok = 1;
-finish:
+ finish:
BIO_free(bio);
BUF_MEM_free(bufmem);
return ok;
@@ -98,7 +100,7 @@ static int test_bio_new_mem_buf(void)
goto finish;
ok = 1;
-finish:
+ finish:
BIO_free(bio);
return ok;
}
@@ -139,7 +141,7 @@ static int test_bio_rdonly_mem_buf(void)
goto finish;
ok = 1;
-finish:
+ finish:
BIO_free(bio);
BIO_free(bio2);
return ok;
@@ -176,7 +178,7 @@ static int test_bio_rdwr_rdonly(void)
ok = 1;
-finish:
+ finish:
BIO_free(bio);
return ok;
}
@@ -216,11 +218,72 @@ static int test_bio_nonclear_rst(void)
ok = 1;
-finish:
+ finish:
BIO_free(bio);
return ok;
}
+static int error_callback_fired;
+static long BIO_error_callback(BIO *bio, int cmd, const char *argp,
+ size_t len, int argi,
+ long argl, int ret, size_t *processed)
+{
+ if ((cmd & (BIO_CB_READ | BIO_CB_RETURN)) != 0) {
+ error_callback_fired = 1;
+ ret = 0; /* fail for read operations to simulate error in input BIO */
+ }
+ return ret;
+}
+
+/* Checks i2d_ASN1_bio_stream() is freeing all memory when input BIO ends unexpectedly. */
+static int test_bio_i2d_ASN1_mime(void)
+{
+ int ok = 0;
+ BIO *bio = NULL, *out = NULL;
+ BUF_MEM bufmem;
+ static const char str[] = "BIO mime test\n";
+ PKCS7 *p7 = NULL;
+
+ if (!TEST_ptr(bio = BIO_new(BIO_s_mem())))
+ goto finish;
+
+ bufmem.length = sizeof(str);
+ bufmem.data = (char *) str;
+ bufmem.max = bufmem.length;
+ BIO_set_mem_buf(bio, &bufmem, BIO_NOCLOSE);
+ BIO_set_flags(bio, BIO_FLAGS_MEM_RDONLY);
+ BIO_set_callback_ex(bio, BIO_error_callback);
+
+ if (!TEST_ptr(out = BIO_new(BIO_s_mem())))
+ goto finish;
+ if (!TEST_ptr(p7 = PKCS7_new()))
+ goto finish;
+ if (!TEST_true(PKCS7_set_type(p7, NID_pkcs7_data)))
+ goto finish;
+
+ error_callback_fired = 0;
+
+ /*
+ * The call succeeds even if the input stream ends unexpectedly as
+ * there is no handling for this case in SMIME_crlf_copy().
+ */
+ if (!TEST_true(i2d_ASN1_bio_stream(out, (ASN1_VALUE*) p7, bio,
+ SMIME_STREAM | SMIME_BINARY,
+ ASN1_ITEM_rptr(PKCS7))))
+ goto finish;
+
+ if (!TEST_int_eq(error_callback_fired, 1))
+ goto finish;
+
+ ok = 1;
+
+ finish:
+ BIO_free(bio);
+ BIO_free(out);
+ PKCS7_free(p7);
+ return ok;
+}
+
int global_init(void)
{
CRYPTO_set_mem_debug(1);
@@ -236,5 +299,6 @@ int setup_tests(void)
ADD_TEST(test_bio_rdonly_mem_buf);
ADD_TEST(test_bio_rdwr_rdonly);
ADD_TEST(test_bio_nonclear_rst);
+ ADD_TEST(test_bio_i2d_ASN1_mime);
return 1;
}
diff --git a/test/bntest.c b/test/bntest.c
index 97d08ac0..9273e865 100644
--- a/test/bntest.c
+++ b/test/bntest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -27,7 +27,6 @@
/*
* Things in boring, not in openssl. TODO we should add them.
*/
-#define HAVE_BN_PADDED 0
#define HAVE_BN_SQRT 0
typedef struct filetest_st {
@@ -305,6 +304,75 @@ static int test_div_recip(void)
return st;
}
+static struct {
+ int n, divisor, result, remainder;
+} signed_mod_tests[] = {
+ { 10, 3, 3, 1 },
+ { -10, 3, -3, -1 },
+ { 10, -3, -3, 1 },
+ { -10, -3, 3, -1 },
+};
+
+static BIGNUM *set_signed_bn(int value)
+{
+ BIGNUM *bn = BN_new();
+
+ if (bn == NULL)
+ return NULL;
+ if (!BN_set_word(bn, value < 0 ? -value : value)) {
+ BN_free(bn);
+ return NULL;
+ }
+ BN_set_negative(bn, value < 0);
+ return bn;
+}
+
+static int test_signed_mod_replace_ab(int n)
+{
+ BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
+ int st = 0;
+
+ if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
+ || !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
+ || !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
+ || !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
+ goto err;
+
+ if (TEST_true(BN_div(a, b, a, b, ctx))
+ && TEST_BN_eq(a, c)
+ && TEST_BN_eq(b, d))
+ st = 1;
+ err:
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ return st;
+}
+
+static int test_signed_mod_replace_ba(int n)
+{
+ BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
+ int st = 0;
+
+ if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
+ || !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
+ || !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
+ || !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
+ goto err;
+
+ if (TEST_true(BN_div(b, a, a, b, ctx))
+ && TEST_BN_eq(b, c)
+ && TEST_BN_eq(a, d))
+ st = 1;
+ err:
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ return st;
+}
+
static int test_mod(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
@@ -326,8 +394,10 @@ static int test_mod(void)
BN_set_negative(b, rand_neg());
if (!(TEST_true(BN_mod(c, a, b, ctx))
&& TEST_true(BN_div(d, e, a, b, ctx))
- && TEST_true(BN_sub(e, e, c))
- && TEST_BN_eq_zero(e)))
+ && TEST_BN_eq(e, c)
+ && TEST_true(BN_mul(c, d, b, ctx))
+ && TEST_true(BN_add(d, c, e))
+ && TEST_BN_eq(d, a)))
goto err;
}
st = 1;
@@ -557,6 +627,51 @@ static int test_modexp_mont5(void)
if (!TEST_BN_eq(c, d))
goto err;
+ /*
+ * Regression test for overflow bug in bn_sqr_comba4/8 for
+ * mips-linux-gnu and mipsel-linux-gnu 32bit targets.
+ */
+ {
+ static const char *ehex[] = {
+ "95564994a96c45954227b845a1e99cb939d5a1da99ee91acc962396ae999a9ee",
+ "38603790448f2f7694c242a875f0cad0aae658eba085f312d2febbbd128dd2b5",
+ "8f7d1149f03724215d704344d0d62c587ae3c5939cba4b9b5f3dc5e8e911ef9a",
+ "5ce1a5a749a4989d0d8368f6e1f8cdf3a362a6c97fb02047ff152b480a4ad985",
+ "2d45efdf0770542992afca6a0590d52930434bba96017afbc9f99e112950a8b1",
+ "a359473ec376f329bdae6a19f503be6d4be7393c4e43468831234e27e3838680",
+ "b949390d2e416a3f9759e5349ab4c253f6f29f819a6fe4cbfd27ada34903300e",
+ "da021f62839f5878a36f1bc3085375b00fd5fa3e68d316c0fdace87a97558465",
+ NULL};
+ static const char *phex[] = {
+ "f95dc0f980fbd22e90caa5a387cc4a369f3f830d50dd321c40db8c09a7e1a241",
+ "a536e096622d3280c0c1ba849c1f4a79bf490f60006d081e8cf69960189f0d31",
+ "2cd9e17073a3fba7881b21474a13b334116cb2f5dbf3189a6de3515d0840f053",
+ "c776d3982d391b6d04d642dda5cc6d1640174c09875addb70595658f89efb439",
+ "dc6fbd55f903aadd307982d3f659207f265e1ec6271b274521b7a5e28e8fd7a5",
+ "5df089292820477802a43cf5b6b94e999e8c9944ddebb0d0e95a60f88cb7e813",
+ "ba110d20e1024774107dd02949031864923b3cb8c3f7250d6d1287b0a40db6a4",
+ "7bd5a469518eb65aa207ddc47d8c6e5fc8e0c105be8fc1d4b57b2e27540471d5",
+ NULL};
+ static const char *mhex[] = {
+ "fef15d5ce4625f1bccfbba49fc8439c72bf8202af039a2259678941b60bb4a8f",
+ "2987e965d58fd8cf86a856674d519763d0e1211cc9f8596971050d56d9b35db3",
+ "785866cfbca17cfdbed6060be3629d894f924a89fdc1efc624f80d41a22f1900",
+ "9503fcc3824ef62ccb9208430c26f2d8ceb2c63488ec4c07437aa4c96c43dd8b",
+ "9289ed00a712ff66ee195dc71f5e4ead02172b63c543d69baf495f5fd63ba7bc",
+ "c633bd309c016e37736da92129d0b053d4ab28d21ad7d8b6fab2a8bbdc8ee647",
+ "d2fbcf2cf426cf892e6f5639e0252993965dfb73ccd277407014ea784aaa280c",
+ "b7b03972bc8b0baa72360bdb44b82415b86b2f260f877791cd33ba8f2d65229b",
+ NULL};
+
+ if (!TEST_true(parse_bigBN(&e, ehex))
+ || !TEST_true(parse_bigBN(&p, phex))
+ || !TEST_true(parse_bigBN(&m, mhex))
+ || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
+ || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
+ || !TEST_BN_eq(a, d))
+ goto err;
+ }
+
/* Zero input */
if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0)))
goto err;
@@ -1614,8 +1729,17 @@ static int file_modsqrt(STANZA *s)
|| !TEST_ptr(ret2 = BN_new()))
goto err;
+ if (BN_is_negative(mod_sqrt)) {
+ /* A negative testcase */
+ if (!TEST_ptr_null(BN_mod_sqrt(ret, a, p, ctx)))
+ goto err;
+
+ st = 1;
+ goto err;
+ }
+
/* There are two possible answers. */
- if (!TEST_true(BN_mod_sqrt(ret, a, p, ctx))
+ if (!TEST_ptr(BN_mod_sqrt(ret, a, p, ctx))
|| !TEST_true(BN_sub(ret2, p, ret)))
goto err;
@@ -1660,52 +1784,52 @@ static int file_gcd(STANZA *s)
static int test_bn2padded(void)
{
-#if HAVE_BN_PADDED
uint8_t zeros[256], out[256], reference[128];
- BIGNUM *n = BN_new();
+ size_t bytes;
+ BIGNUM *n;
int st = 0;
/* Test edge case at 0. */
- if (n == NULL)
+ if (!TEST_ptr((n = BN_new())))
goto err;
- if (!TEST_true(BN_bn2bin_padded(NULL, 0, n)))
+ if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), 0))
goto err;
memset(out, -1, sizeof(out));
- if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n))
+ if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out)))
goto err;
memset(zeros, 0, sizeof(zeros));
if (!TEST_mem_eq(zeros, sizeof(zeros), out, sizeof(out)))
goto err;
/* Test a random numbers at various byte lengths. */
- for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
+ for (bytes = 128 - 7; bytes <= 128; bytes++) {
# define TOP_BIT_ON 0
# define BOTTOM_BIT_NOTOUCH 0
if (!TEST_true(BN_rand(n, bytes * 8, TOP_BIT_ON, BOTTOM_BIT_NOTOUCH)))
goto err;
- if (!TEST_int_eq(BN_num_bytes(n),A) bytes
- || TEST_int_eq(BN_bn2bin(n, reference), bytes))
+ if (!TEST_int_eq(BN_num_bytes(n), bytes)
+ || !TEST_int_eq(BN_bn2bin(n, reference), bytes))
goto err;
/* Empty buffer should fail. */
- if (!TEST_int_eq(BN_bn2bin_padded(NULL, 0, n)), 0)
+ if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), -1))
goto err;
/* One byte short should fail. */
- if (BN_bn2bin_padded(out, bytes - 1, n))
+ if (!TEST_int_eq(BN_bn2binpad(n, out, bytes - 1), -1))
goto err;
/* Exactly right size should encode. */
- if (!TEST_true(BN_bn2bin_padded(out, bytes, n))
- || TEST_mem_eq(out, bytes, reference, bytes))
+ if (!TEST_int_eq(BN_bn2binpad(n, out, bytes), bytes)
+ || !TEST_mem_eq(out, bytes, reference, bytes))
goto err;
/* Pad up one byte extra. */
- if (!TEST_true(BN_bn2bin_padded(out, bytes + 1, n))
+ if (!TEST_int_eq(BN_bn2binpad(n, out, bytes + 1), bytes + 1)
|| !TEST_mem_eq(out + 1, bytes, reference, bytes)
|| !TEST_mem_eq(out, 1, zeros, 1))
goto err;
/* Pad up to 256. */
- if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n)
+ if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out))
|| !TEST_mem_eq(out + sizeof(out) - bytes, bytes,
reference, bytes)
- || !TEST_mem_eq(out, sizseof(out) - bytes,
+ || !TEST_mem_eq(out, sizeof(out) - bytes,
zeros, sizeof(out) - bytes))
goto err;
}
@@ -1714,9 +1838,6 @@ static int test_bn2padded(void)
err:
BN_free(n);
return st;
-#else
- return ctx != NULL;
-#endif
}
static int test_dec2bn(void)
@@ -2686,6 +2807,50 @@ static int test_mod_exp_consttime(int i)
return res;
}
+/*
+ * Regression test to ensure BN_mod_exp2_mont fails safely if argument m is
+ * zero.
+ */
+static int test_mod_exp2_mont(void)
+{
+ int res = 0;
+ BIGNUM *exp_result = NULL;
+ BIGNUM *exp_a1 = NULL, *exp_p1 = NULL, *exp_a2 = NULL, *exp_p2 = NULL,
+ *exp_m = NULL;
+
+ if (!TEST_ptr(exp_result = BN_new())
+ || !TEST_ptr(exp_a1 = BN_new())
+ || !TEST_ptr(exp_p1 = BN_new())
+ || !TEST_ptr(exp_a2 = BN_new())
+ || !TEST_ptr(exp_p2 = BN_new())
+ || !TEST_ptr(exp_m = BN_new()))
+ goto err;
+
+ if (!TEST_true(BN_one(exp_a1))
+ || !TEST_true(BN_one(exp_p1))
+ || !TEST_true(BN_one(exp_a2))
+ || !TEST_true(BN_one(exp_p2)))
+ goto err;
+
+ BN_zero(exp_m);
+
+ /* input of 0 is even, so must fail */
+ if (!TEST_int_eq(BN_mod_exp2_mont(exp_result, exp_a1, exp_p1, exp_a2,
+ exp_p2, exp_m, ctx, NULL), 0))
+ goto err;
+
+ res = 1;
+
+err:
+ BN_free(exp_result);
+ BN_free(exp_a1);
+ BN_free(exp_p1);
+ BN_free(exp_a2);
+ BN_free(exp_p2);
+ BN_free(exp_m);
+ return res;
+}
+
static int file_test_run(STANZA *s)
{
static const FILETEST filetests[] = {
@@ -2759,6 +2924,8 @@ int setup_tests(void)
if (n == 0) {
ADD_TEST(test_sub);
ADD_TEST(test_div_recip);
+ ADD_ALL_TESTS(test_signed_mod_replace_ab, OSSL_NELEM(signed_mod_tests));
+ ADD_ALL_TESTS(test_signed_mod_replace_ba, OSSL_NELEM(signed_mod_tests));
ADD_TEST(test_mod);
ADD_TEST(test_modexp_mont5);
ADD_TEST(test_kronecker);
@@ -2792,6 +2959,7 @@ int setup_tests(void)
ADD_TEST(test_gcd_prime);
ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests));
ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests));
+ ADD_TEST(test_mod_exp2_mont);
} else {
ADD_ALL_TESTS(run_file_tests, n);
}
diff --git a/test/build.info b/test/build.info
index bc3dae81..6357a7f2 100644
--- a/test/build.info
+++ b/test/build.info
@@ -515,7 +515,9 @@ INCLUDE_MAIN___test_libtestutil_OLB = /INCLUDE=MAIN
INCLUDE[sm4_internal_test]=.. ../include
DEPEND[sm4_internal_test]=../libcrypto.a libtestutil.a
- SOURCE[ec_internal_test]=ec_internal_test.c
+ SOURCE[ec_internal_test]=ec_internal_test.c \
+ {- rebase_files("../apps",
+ split(/\s+/, $target{apps_init_src})) -}
INCLUDE[ec_internal_test]=../include ../crypto/ec
DEPEND[ec_internal_test]=../libcrypto.a libtestutil.a
diff --git a/test/certs/cross-key.pem b/test/certs/cross-key.pem
new file mode 100644
index 00000000..93cd467a
--- /dev/null
+++ b/test/certs/cross-key.pem
@@ -0,0 +1,28 @@
+-----BEGIN PRIVATE KEY-----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+-----END PRIVATE KEY-----
diff --git a/test/certs/cross-root.pem b/test/certs/cross-root.pem
new file mode 100644
index 00000000..dca5b10b
--- /dev/null
+++ b/test/certs/cross-root.pem
@@ -0,0 +1,18 @@
+-----BEGIN CERTIFICATE-----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==
+-----END CERTIFICATE-----
diff --git a/test/certs/ee-self-signed.pem b/test/certs/ee-self-signed.pem
index e854c9ad..ad1e37ba 100644
--- a/test/certs/ee-self-signed.pem
+++ b/test/certs/ee-self-signed.pem
@@ -1,19 +1,18 @@
-----BEGIN CERTIFICATE-----
-MIIDIjCCAgqgAwIBAgIUT99h/YrAdcDg3fdLy5UajB8e994wDQYJKoZIhvcNAQEL
-BQAwGTEXMBUGA1UEAwwOZWUtc2VsZi1zaWduZWQwIBcNMjAwNzI4MTQxNjA4WhgP
-MjEyMDA3MDQxNDE2MDhaMBkxFzAVBgNVBAMMDmVlLXNlbGYtc2lnbmVkMIIBIjAN
-BgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAqP+JWGGFrt7bLA/Vc/vit6gbenVg
-K9R9PHN2ta7eky9/JJBtyRz0ijjNn6KAFlbLtCy7k+UXH/8NxkP+MTT4KNh16aO7
-iILvo3LiU2IFRU3gMZfvqp0Q0lgNngaeMrsbCFZdZQ8/Zo7CNqAR/8BZNf1JHN0c
-QjMGeK4EOCPl53Vn05StWqlAH6xZEPUMwWStSsTGNVOzlmqCGxWL0Zmr5J5vlKrS
-luVX+4yRZIo8JBbG0hm+gmATO2Kw7T4ds8r5a98xuXqeS0dopynHP0riIie075Bj
-1+/Qckk+W625G9Qrb4Zo3dVzErhDydxBD6KjRk+LZ4iED2H+eTQfSokftwIDAQAB
-o2AwXjAdBgNVHQ4EFgQU55viKq2KbDrLdlHljgeYIpfhc6IwHwYDVR0jBBgwFoAU
-55viKq2KbDrLdlHljgeYIpfhc6IwDwYDVR0TAQH/BAUwAwEB/zALBgNVHQ8EBAMC
-B4AwDQYJKoZIhvcNAQELBQADggEBAGDEbS5kJArjjQNK02oxhQyz1dbDy23evRxm
-WW/NtlJAQAgEMXoNo9fioj0L4cvDy40r87V6/RsV2eijwZEfwGloACif7v78w8QO
-h4XiW9oGxcQkdMIYZLDVW9AZPDIkK5NHNfQaeAxCprAufYnRMv035UotLzCBRrkG
-G2TIs45vRp/6mYFVtm0Nf9CFvu4dXH8W+GlBONG0FAiBW+JzgTr9OmrzfqJTEDrf
-vv/hOiu8XvvlF5piPBqKE76rEvkXUSjgDZ2/Ju1fjqpV2I8Hz1Mj9w9tRE8g4E9o
-ZcRXX3MNPaHxnNhgYSPdpywwkyILz2AHwmAzh07cdttRFFPw+fM=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-----END CERTIFICATE-----
diff --git a/test/certs/root-cross-cert.pem b/test/certs/root-cross-cert.pem
new file mode 100644
index 00000000..1339c328
--- /dev/null
+++ b/test/certs/root-cross-cert.pem
@@ -0,0 +1,18 @@
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/test/certs/setup.sh b/test/certs/setup.sh
index 49aab711..020f6ce9 100755
--- a/test/certs/setup.sh
+++ b/test/certs/setup.sh
@@ -9,6 +9,8 @@ DAYS=-1 ./mkcert.sh genroot "Root CA" root-key root-expired
./mkcert.sh genss "Root CA" root-key root-nonca
./mkcert.sh genroot "Root CA" root-key2 root-cert2
./mkcert.sh genroot "Root Cert 2" root-key root-name2
+./mkcert.sh genroot "Cross Root" cross-key cross-root
+./mkcert.sh genca "Root CA" root-key root-cross-cert cross-key cross-root
#
openssl x509 -in root-cert.pem -trustout \
-addtrust serverAuth -out root+serverAuth.pem
diff --git a/test/clienthellotest.c b/test/clienthellotest.c
index 8ae1e4d9..ee32b5e2 100644
--- a/test/clienthellotest.c
+++ b/test/clienthellotest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -45,10 +45,16 @@
static const char *sessionfile = NULL;
/* Dummy ALPN protocols used to pad out the size of the ClientHello */
+/* ASCII 'O' = 79 = 0x4F = EBCDIC '|'*/
+#ifdef CHARSET_EBCDIC
static const char alpn_prots[] =
- "0123456789012345678901234567890123456789012345678901234567890123456789"
- "0123456789012345678901234567890123456789012345678901234567890123456789"
- "01234567890123456789";
+ "|1234567890123456789012345678901234567890123456789012345678901234567890123456789"
+ "|1234567890123456789012345678901234567890123456789012345678901234567890123456789";
+#else
+static const char alpn_prots[] =
+ "O1234567890123456789012345678901234567890123456789012345678901234567890123456789"
+ "O1234567890123456789012345678901234567890123456789012345678901234567890123456789";
+#endif
static int test_client_hello(int currtest)
{
diff --git a/test/dane-cross.in b/test/dane-cross.in
new file mode 100644
index 00000000..81252a11
--- /dev/null
+++ b/test/dane-cross.in
@@ -0,0 +1,113 @@
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
+#
+# Licensed under the OpenSSL license (the "License"). You may not use
+# this file except in compliance with the License. You can obtain a copy
+# in the file LICENSE in the source distribution or at
+# https://www.openssl.org/source/license.html
+#
+# Blank and comment lines ignored.
+#
+# The first line in each block takes the form:
+#
+# <TLSA-count> <cert-count> <nonamechecks> <desired-verify-result> <desired-match-depth>
+#
+# It is followed by <TLSA-count> lines of the form:
+#
+# <usage> <selector> <mtype> <hex-data>
+#
+# and finally, by <cert-count> certificates.
+
+# 1
+# Ensure TLSA with direct root works when peer chain provides a
+# cross-cert.
+1 4 0 0 2
+2 0 0 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
+subject=CN = server.example
+issuer=CN = CA
+notBefore=Jan 15 08:19:49 2016 GMT
+notAfter=Jan 16 08:19:49 2116 GMT
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
+subject=CN = CA
+issuer=CN = Root CA
+notBefore=Jan 15 08:19:49 2016 GMT
+notAfter=Jan 16 08:19:49 2116 GMT
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
+subject=CN = Root CA
+issuer=CN = Cross Root
+notBefore=Aug 30 18:36:38 2021 GMT
+notAfter=Aug 31 18:36:38 2121 GMT
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
+subject=CN = Cross Root
+issuer=CN = Cross Root
+notBefore=Aug 30 18:33:26 2021 GMT
+notAfter=Aug 31 18:33:26 2121 GMT
+-----BEGIN CERTIFICATE-----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==
+-----END CERTIFICATE-----
diff --git a/test/danetest.c b/test/danetest.c
index 54a79ab5..3cd3c95c 100644
--- a/test/danetest.c
+++ b/test/danetest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -152,7 +152,7 @@ err:
static char *read_to_eol(BIO *f)
{
- static char buf[1024];
+ static char buf[4096];
int n;
if (!BIO_gets(f, buf, sizeof(buf)))
diff --git a/test/data.bin b/test/data.bin
new file mode 100644
index 00000000..34422552
--- /dev/null
+++ b/test/data.bin
@@ -0,0 +1,4 @@
+TEST DATA
+
+Please note that if a test involves a new testing executable,
+you will need to do some additions in test/build.info.
diff --git a/test/ec_internal_test.c b/test/ec_internal_test.c
index 5b708e20..45a36ab9 100644
--- a/test/ec_internal_test.c
+++ b/test/ec_internal_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2019-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2019-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -283,6 +283,47 @@ static int decoded_flag_test(void)
return testresult;
}
+static
+int ecpkparams_i2d2i_test(int n)
+{
+ EC_GROUP *g1 = NULL, *g2 = NULL;
+ FILE *fp = NULL;
+ int nid = curves[n].nid;
+ int testresult = 0;
+
+ /* create group */
+ if (!TEST_ptr(g1 = EC_GROUP_new_by_curve_name(nid)))
+ goto end;
+
+ /* encode params to file */
+ if (!TEST_ptr(fp = fopen("params.der", "wb"))
+ || !TEST_true(i2d_ECPKParameters_fp(fp, g1)))
+ goto end;
+
+ /* flush and close file */
+ if (!TEST_int_eq(fclose(fp), 0)) {
+ fp = NULL;
+ goto end;
+ }
+ fp = NULL;
+
+ /* decode params from file */
+ if (!TEST_ptr(fp = fopen("params.der", "rb"))
+ || !TEST_ptr(g2 = d2i_ECPKParameters_fp(fp, NULL)))
+ goto end;
+
+ testresult = 1; /* PASS */
+
+end:
+ if (fp != NULL)
+ fclose(fp);
+
+ EC_GROUP_free(g1);
+ EC_GROUP_free(g2);
+
+ return testresult;
+}
+
int setup_tests(void)
{
crv_len = EC_get_builtin_curves(NULL, 0);
@@ -297,6 +338,8 @@ int setup_tests(void)
#endif
ADD_ALL_TESTS(field_tests_default, crv_len);
ADD_TEST(decoded_flag_test);
+ ADD_ALL_TESTS(ecpkparams_i2d2i_test, crv_len);
+
return 1;
}
diff --git a/test/ectest.c b/test/ectest.c
index 9bdbf70a..bd3c4d8c 100644
--- a/test/ectest.c
+++ b/test/ectest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
@@ -1124,7 +1124,56 @@ err:
BN_free(yplusone);
return r;
}
-# endif
+
+static int hybrid_point_encoding_test(void)
+{
+ BIGNUM *x = NULL, *y = NULL;
+ EC_GROUP *group = NULL;
+ EC_POINT *point = NULL;
+ unsigned char *buf = NULL;
+ size_t len;
+ int r = 0;
+
+ if (!TEST_true(BN_dec2bn(&x, "0"))
+ || !TEST_true(BN_dec2bn(&y, "1"))
+ || !TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_sect571k1))
+ || !TEST_ptr(point = EC_POINT_new(group))
+ || !TEST_true(EC_POINT_set_affine_coordinates(group, point, x, y, NULL))
+ || !TEST_size_t_ne(0, (len = EC_POINT_point2oct(group,
+ point,
+ POINT_CONVERSION_HYBRID,
+ NULL,
+ 0,
+ NULL)))
+ || !TEST_ptr(buf = OPENSSL_malloc(len))
+ || !TEST_size_t_eq(len, EC_POINT_point2oct(group,
+ point,
+ POINT_CONVERSION_HYBRID,
+ buf,
+ len,
+ NULL)))
+ goto err;
+
+ r = 1;
+
+ /* buf contains a valid hybrid point, check that we can decode it. */
+ if (!TEST_true(EC_POINT_oct2point(group, point, buf, len, NULL)))
+ r = 0;
+
+ /* Flip the y_bit and verify that the invalid encoding is rejected. */
+ buf[0] ^= 1;
+ if (!TEST_false(EC_POINT_oct2point(group, point, buf, len, NULL)))
+ r = 0;
+
+err:
+ BN_free(x);
+ BN_free(y);
+ EC_GROUP_free(group);
+ EC_POINT_free(point);
+ OPENSSL_free(buf);
+ return r;
+}
+#endif
static int internal_curve_test(int n)
{
@@ -2195,6 +2244,7 @@ int setup_tests(void)
ADD_ALL_TESTS(cardinality_test, crv_len);
ADD_TEST(prime_field_tests);
# ifndef OPENSSL_NO_EC2M
+ ADD_TEST(hybrid_point_encoding_test);
ADD_TEST(char2_field_tests);
ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests));
# endif
diff --git a/test/evp_extra_test.c b/test/evp_extra_test.c
index a74f6332..a0d1de94 100644
--- a/test/evp_extra_test.c
+++ b/test/evp_extra_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -10,6 +10,7 @@
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
+#include <openssl/aes.h>
#include <openssl/bio.h>
#include <openssl/crypto.h>
#include <openssl/err.h>
@@ -19,6 +20,7 @@
#include <openssl/pem.h>
#include <openssl/kdf.h>
#include <openssl/dh.h>
+#include <openssl/engine.h>
#include "testutil.h"
#include "internal/nelem.h"
#include "crypto/evp.h"
@@ -320,6 +322,96 @@ static const unsigned char pExampleECParamDER[] = {
};
#endif
+static const unsigned char kCFBDefaultKey[] = {
+ 0x2B, 0x7E, 0x15, 0x16, 0x28, 0xAE, 0xD2, 0xA6, 0xAB, 0xF7, 0x15, 0x88,
+ 0x09, 0xCF, 0x4F, 0x3C
+};
+
+static const unsigned char kGCMDefaultKey[32] = { 0 };
+
+static const unsigned char kGCMResetKey[] = {
+ 0xfe, 0xff, 0xe9, 0x92, 0x86, 0x65, 0x73, 0x1c, 0x6d, 0x6a, 0x8f, 0x94,
+ 0x67, 0x30, 0x83, 0x08, 0xfe, 0xff, 0xe9, 0x92, 0x86, 0x65, 0x73, 0x1c,
+ 0x6d, 0x6a, 0x8f, 0x94, 0x67, 0x30, 0x83, 0x08
+};
+
+static const unsigned char iCFBIV[] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B,
+ 0x0C, 0x0D, 0x0E, 0x0F
+};
+
+static const unsigned char iGCMDefaultIV[12] = { 0 };
+
+static const unsigned char iGCMResetIV1[] = {
+ 0xca, 0xfe, 0xba, 0xbe, 0xfa, 0xce, 0xdb, 0xad
+};
+
+static const unsigned char iGCMResetIV2[] = {
+ 0xca, 0xfe, 0xba, 0xbe, 0xfa, 0xce, 0xdb, 0xad, 0xde, 0xca, 0xf8, 0x88
+};
+
+static const unsigned char cfbPlaintext[] = {
+ 0x6B, 0xC1, 0xBE, 0xE2, 0x2E, 0x40, 0x9F, 0x96, 0xE9, 0x3D, 0x7E, 0x11,
+ 0x73, 0x93, 0x17, 0x2A
+};
+
+static const unsigned char gcmDefaultPlaintext[16] = { 0 };
+
+static const unsigned char gcmResetPlaintext[] = {
+ 0xd9, 0x31, 0x32, 0x25, 0xf8, 0x84, 0x06, 0xe5, 0xa5, 0x59, 0x09, 0xc5,
+ 0xaf, 0xf5, 0x26, 0x9a, 0x86, 0xa7, 0xa9, 0x53, 0x15, 0x34, 0xf7, 0xda,
+ 0x2e, 0x4c, 0x30, 0x3d, 0x8a, 0x31, 0x8a, 0x72, 0x1c, 0x3c, 0x0c, 0x95,
+ 0x95, 0x68, 0x09, 0x53, 0x2f, 0xcf, 0x0e, 0x24, 0x49, 0xa6, 0xb5, 0x25,
+ 0xb1, 0x6a, 0xed, 0xf5, 0xaa, 0x0d, 0xe6, 0x57, 0xba, 0x63, 0x7b, 0x39
+};
+
+static const unsigned char cfbCiphertext[] = {
+ 0x3B, 0x3F, 0xD9, 0x2E, 0xB7, 0x2D, 0xAD, 0x20, 0x33, 0x34, 0x49, 0xF8,
+ 0xE8, 0x3C, 0xFB, 0x4A
+};
+
+static const unsigned char gcmDefaultCiphertext[] = {
+ 0xce, 0xa7, 0x40, 0x3d, 0x4d, 0x60, 0x6b, 0x6e, 0x07, 0x4e, 0xc5, 0xd3,
+ 0xba, 0xf3, 0x9d, 0x18
+};
+
+static const unsigned char gcmResetCiphertext1[] = {
+ 0xc3, 0x76, 0x2d, 0xf1, 0xca, 0x78, 0x7d, 0x32, 0xae, 0x47, 0xc1, 0x3b,
+ 0xf1, 0x98, 0x44, 0xcb, 0xaf, 0x1a, 0xe1, 0x4d, 0x0b, 0x97, 0x6a, 0xfa,
+ 0xc5, 0x2f, 0xf7, 0xd7, 0x9b, 0xba, 0x9d, 0xe0, 0xfe, 0xb5, 0x82, 0xd3,
+ 0x39, 0x34, 0xa4, 0xf0, 0x95, 0x4c, 0xc2, 0x36, 0x3b, 0xc7, 0x3f, 0x78,
+ 0x62, 0xac, 0x43, 0x0e, 0x64, 0xab, 0xe4, 0x99, 0xf4, 0x7c, 0x9b, 0x1f
+};
+
+static const unsigned char gcmResetCiphertext2[] = {
+ 0x52, 0x2d, 0xc1, 0xf0, 0x99, 0x56, 0x7d, 0x07, 0xf4, 0x7f, 0x37, 0xa3,
+ 0x2a, 0x84, 0x42, 0x7d, 0x64, 0x3a, 0x8c, 0xdc, 0xbf, 0xe5, 0xc0, 0xc9,
+ 0x75, 0x98, 0xa2, 0xbd, 0x25, 0x55, 0xd1, 0xaa, 0x8c, 0xb0, 0x8e, 0x48,
+ 0x59, 0x0d, 0xbb, 0x3d, 0xa7, 0xb0, 0x8b, 0x10, 0x56, 0x82, 0x88, 0x38,
+ 0xc5, 0xf6, 0x1e, 0x63, 0x93, 0xba, 0x7a, 0x0a, 0xbc, 0xc9, 0xf6, 0x62
+};
+
+static const unsigned char gcmAAD[] = {
+ 0xfe, 0xed, 0xfa, 0xce, 0xde, 0xad, 0xbe, 0xef, 0xfe, 0xed, 0xfa, 0xce,
+ 0xde, 0xad, 0xbe, 0xef, 0xab, 0xad, 0xda, 0xd2
+};
+
+static const unsigned char gcmDefaultTag[] = {
+ 0xd0, 0xd1, 0xc8, 0xa7, 0x99, 0x99, 0x6b, 0xf0, 0x26, 0x5b, 0x98, 0xb5,
+ 0xd4, 0x8a, 0xb9, 0x19
+};
+
+static const unsigned char gcmResetTag1[] = {
+ 0x3a, 0x33, 0x7d, 0xbf, 0x46, 0xa7, 0x92, 0xc4, 0x5e, 0x45, 0x49, 0x13,
+ 0xfe, 0x2e, 0xa8, 0xf2
+};
+
+static const unsigned char gcmResetTag2[] = {
+ 0x76, 0xfc, 0x6e, 0xce, 0x0f, 0x4e, 0x17, 0x68, 0xcd, 0xdf, 0x88, 0x53,
+ 0xbb, 0x2d, 0x55, 0x1b
+};
+
+
typedef struct APK_DATA_st {
const unsigned char *kder;
size_t size;
@@ -330,6 +422,494 @@ typedef struct APK_DATA_st {
int type; /* 0 for private, 1 for public, 2 for params */
} APK_DATA;
+typedef struct {
+ const char *cipher;
+ const unsigned char *key;
+ const unsigned char *iv;
+ const unsigned char *input;
+ const unsigned char *expected;
+ const unsigned char *tag;
+ size_t ivlen; /* 0 if we do not need to set a specific IV len */
+ size_t inlen;
+ size_t expectedlen;
+ size_t taglen;
+ int keyfirst;
+ int initenc;
+ int finalenc;
+} EVP_INIT_TEST_st;
+
+static const EVP_INIT_TEST_st evp_init_tests[] = {
+ {
+ "aes-128-cfb", kCFBDefaultKey, iCFBIV, cfbPlaintext,
+ cfbCiphertext, NULL, 0, sizeof(cfbPlaintext), sizeof(cfbCiphertext),
+ 0, 1, 0, 1
+ },
+ {
+ "aes-256-gcm", kGCMDefaultKey, iGCMDefaultIV, gcmDefaultPlaintext,
+ gcmDefaultCiphertext, gcmDefaultTag, sizeof(iGCMDefaultIV),
+ sizeof(gcmDefaultPlaintext), sizeof(gcmDefaultCiphertext),
+ sizeof(gcmDefaultTag), 1, 0, 1
+ },
+ {
+ "aes-128-cfb", kCFBDefaultKey, iCFBIV, cfbPlaintext,
+ cfbCiphertext, NULL, 0, sizeof(cfbPlaintext), sizeof(cfbCiphertext),
+ 0, 0, 0, 1
+ },
+ {
+ "aes-256-gcm", kGCMDefaultKey, iGCMDefaultIV, gcmDefaultPlaintext,
+ gcmDefaultCiphertext, gcmDefaultTag, sizeof(iGCMDefaultIV),
+ sizeof(gcmDefaultPlaintext), sizeof(gcmDefaultCiphertext),
+ sizeof(gcmDefaultTag), 0, 0, 1
+ },
+ {
+ "aes-128-cfb", kCFBDefaultKey, iCFBIV, cfbCiphertext,
+ cfbPlaintext, NULL, 0, sizeof(cfbCiphertext), sizeof(cfbPlaintext),
+ 0, 1, 1, 0
+ },
+ {
+ "aes-256-gcm", kGCMDefaultKey, iGCMDefaultIV, gcmDefaultCiphertext,
+ gcmDefaultPlaintext, gcmDefaultTag, sizeof(iGCMDefaultIV),
+ sizeof(gcmDefaultCiphertext), sizeof(gcmDefaultPlaintext),
+ sizeof(gcmDefaultTag), 1, 1, 0
+ },
+ {
+ "aes-128-cfb", kCFBDefaultKey, iCFBIV, cfbCiphertext,
+ cfbPlaintext, NULL, 0, sizeof(cfbCiphertext), sizeof(cfbPlaintext),
+ 0, 0, 1, 0
+ },
+ {
+ "aes-256-gcm", kGCMDefaultKey, iGCMDefaultIV, gcmDefaultCiphertext,
+ gcmDefaultPlaintext, gcmDefaultTag, sizeof(iGCMDefaultIV),
+ sizeof(gcmDefaultCiphertext), sizeof(gcmDefaultPlaintext),
+ sizeof(gcmDefaultTag), 0, 1, 0
+ }
+};
+
+static int evp_init_seq_set_iv(EVP_CIPHER_CTX *ctx, const EVP_INIT_TEST_st *t)
+{
+ int res = 0;
+
+ if (t->ivlen != 0) {
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_GCM_SET_IVLEN, t->ivlen, NULL)))
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, NULL, t->iv, -1)))
+ goto err;
+ res = 1;
+ err:
+ return res;
+}
+
+/*
+ * Test step-wise cipher initialization via EVP_CipherInit_ex where the
+ * arguments are given one at a time and a final adjustment to the enc
+ * parameter sets the correct operation.
+ */
+static int test_evp_init_seq(int idx)
+{
+ int outlen1, outlen2;
+ int testresult = 0;
+ unsigned char outbuf[1024];
+ unsigned char tag[16];
+ const EVP_INIT_TEST_st *t = &evp_init_tests[idx];
+ EVP_CIPHER_CTX *ctx = NULL;
+ const EVP_CIPHER *type = NULL;
+ size_t taglen = sizeof(tag);
+ char *errmsg = NULL;
+
+ ctx = EVP_CIPHER_CTX_new();
+ if (ctx == NULL) {
+ errmsg = "CTX_ALLOC";
+ goto err;
+ }
+ if (!TEST_ptr(type = EVP_get_cipherbyname(t->cipher))) {
+ errmsg = "GET_CIPHERBYNAME";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, type, NULL, NULL, NULL, t->initenc))) {
+ errmsg = "EMPTY_ENC_INIT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CIPHER_CTX_set_padding(ctx, 0))) {
+ errmsg = "PADDING";
+ goto err;
+ }
+ if (t->keyfirst && !TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, t->key, NULL, -1))) {
+ errmsg = "KEY_INIT (before iv)";
+ goto err;
+ }
+ if (!evp_init_seq_set_iv(ctx, t)) {
+ errmsg = "IV_INIT";
+ goto err;
+ }
+ if (t->keyfirst == 0 && !TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, t->key, NULL, -1))) {
+ errmsg = "KEY_INIT (after iv)";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, NULL, NULL, t->finalenc))) {
+ errmsg = "FINAL_ENC_INIT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, outbuf, &outlen1, t->input, t->inlen))) {
+ errmsg = "CIPHER_UPDATE";
+ goto err;
+ }
+ if (t->finalenc == 0 && t->tag != NULL) {
+ /* Set expected tag */
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_AEAD_SET_TAG,
+ t->taglen, (void *)t->tag))) {
+ errmsg = "SET_TAG";
+ goto err;
+ }
+ }
+ if (!TEST_true(EVP_CipherFinal_ex(ctx, outbuf + outlen1, &outlen2))) {
+ errmsg = "CIPHER_FINAL";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->expected, t->expectedlen, outbuf, outlen1 + outlen2)) {
+ errmsg = "WRONG_RESULT";
+ goto err;
+ }
+ if (t->finalenc != 0 && t->tag != NULL) {
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_AEAD_GET_TAG, taglen, tag))) {
+ errmsg = "GET_TAG";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->tag, t->taglen, tag, taglen)) {
+ errmsg = "TAG_ERROR";
+ goto err;
+ }
+ }
+ testresult = 1;
+ err:
+ if (errmsg != NULL)
+ TEST_info("evp_init_test %d: %s", idx, errmsg);
+ EVP_CIPHER_CTX_free(ctx);
+ return testresult;
+}
+
+typedef struct {
+ const unsigned char *input;
+ const unsigned char *expected;
+ size_t inlen;
+ size_t expectedlen;
+ int enc;
+} EVP_RESET_TEST_st;
+
+static const EVP_RESET_TEST_st evp_reset_tests[] = {
+ {
+ cfbPlaintext, cfbCiphertext,
+ sizeof(cfbPlaintext), sizeof(cfbCiphertext), 1
+ },
+ {
+ cfbCiphertext, cfbPlaintext,
+ sizeof(cfbCiphertext), sizeof(cfbPlaintext), 0
+ }
+};
+
+/*
+ * Test a reset of a cipher via EVP_CipherInit_ex after the cipher has already
+ * been used.
+ */
+static int test_evp_reset(int idx)
+{
+ const EVP_RESET_TEST_st *t = &evp_reset_tests[idx];
+ int outlen1, outlen2;
+ int testresult = 0;
+ unsigned char outbuf[1024];
+ EVP_CIPHER_CTX *ctx = NULL;
+ const EVP_CIPHER *type = NULL;
+ char *errmsg = NULL;
+
+ if (!TEST_ptr(ctx = EVP_CIPHER_CTX_new())) {
+ errmsg = "CTX_ALLOC";
+ goto err;
+ }
+ if (!TEST_ptr(type = EVP_get_cipherbyname("aes-128-cfb"))) {
+ errmsg = "GET_CIPHERBYNAME";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, type, NULL, kCFBDefaultKey, iCFBIV, t->enc))) {
+ errmsg = "CIPHER_INIT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CIPHER_CTX_set_padding(ctx, 0))) {
+ errmsg = "PADDING";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, outbuf, &outlen1, t->input, t->inlen))) {
+ errmsg = "CIPHER_UPDATE";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherFinal_ex(ctx, outbuf + outlen1, &outlen2))) {
+ errmsg = "CIPHER_FINAL";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->expected, t->expectedlen, outbuf, outlen1 + outlen2)) {
+ errmsg = "WRONG_RESULT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, NULL, NULL, -1))) {
+ errmsg = "CIPHER_REINIT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, outbuf, &outlen1, t->input, t->inlen))) {
+ errmsg = "CIPHER_UPDATE (reinit)";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherFinal_ex(ctx, outbuf + outlen1, &outlen2))) {
+ errmsg = "CIPHER_FINAL (reinit)";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->expected, t->expectedlen, outbuf, outlen1 + outlen2)) {
+ errmsg = "WRONG_RESULT (reinit)";
+ goto err;
+ }
+ testresult = 1;
+ err:
+ if (errmsg != NULL)
+ TEST_info("test_evp_reset %d: %s", idx, errmsg);
+ EVP_CIPHER_CTX_free(ctx);
+ return testresult;
+}
+
+typedef struct {
+ const unsigned char *iv1;
+ const unsigned char *iv2;
+ const unsigned char *expected1;
+ const unsigned char *expected2;
+ const unsigned char *tag1;
+ const unsigned char *tag2;
+ size_t ivlen1;
+ size_t ivlen2;
+ size_t expectedlen1;
+ size_t expectedlen2;
+} TEST_GCM_IV_REINIT_st;
+
+static const TEST_GCM_IV_REINIT_st gcm_reinit_tests[] = {
+ {
+ iGCMResetIV1, iGCMResetIV2, gcmResetCiphertext1, gcmResetCiphertext2,
+ gcmResetTag1, gcmResetTag2, sizeof(iGCMResetIV1), sizeof(iGCMResetIV2),
+ sizeof(gcmResetCiphertext1), sizeof(gcmResetCiphertext2)
+ },
+ {
+ iGCMResetIV2, iGCMResetIV1, gcmResetCiphertext2, gcmResetCiphertext1,
+ gcmResetTag2, gcmResetTag1, sizeof(iGCMResetIV2), sizeof(iGCMResetIV1),
+ sizeof(gcmResetCiphertext2), sizeof(gcmResetCiphertext1)
+ }
+};
+
+static int test_gcm_reinit(int idx)
+{
+ int outlen1, outlen2, outlen3;
+ int testresult = 0;
+ unsigned char outbuf[1024];
+ unsigned char tag[16];
+ const TEST_GCM_IV_REINIT_st *t = &gcm_reinit_tests[idx];
+ EVP_CIPHER_CTX *ctx = NULL;
+ const EVP_CIPHER *type = NULL;
+ size_t taglen = sizeof(tag);
+ char *errmsg = NULL;
+
+ if (!TEST_ptr(ctx = EVP_CIPHER_CTX_new())) {
+ errmsg = "CTX_ALLOC";
+ goto err;
+ }
+ if (!TEST_ptr(type = EVP_get_cipherbyname("aes-256-gcm"))) {
+ errmsg = "GET_CIPHERBYNAME";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, type, NULL, NULL, NULL, 1))) {
+ errmsg = "ENC_INIT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_GCM_SET_IVLEN, t->ivlen1, NULL))) {
+ errmsg = "SET_IVLEN1";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, kGCMResetKey, t->iv1, 1))) {
+ errmsg = "SET_IV1";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, NULL, &outlen3, gcmAAD, sizeof(gcmAAD)))) {
+ errmsg = "AAD1";
+ goto err;
+ }
+ EVP_CIPHER_CTX_set_padding(ctx, 0);
+ if (!TEST_true(EVP_CipherUpdate(ctx, outbuf, &outlen1, gcmResetPlaintext,
+ sizeof(gcmResetPlaintext)))) {
+ errmsg = "CIPHER_UPDATE1";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherFinal_ex(ctx, outbuf + outlen1, &outlen2))) {
+ errmsg = "CIPHER_FINAL1";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->expected1, t->expectedlen1, outbuf, outlen1 + outlen2)) {
+ errmsg = "WRONG_RESULT1";
+ goto err;
+ }
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_AEAD_GET_TAG, taglen, tag))) {
+ errmsg = "GET_TAG1";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->tag1, taglen, tag, taglen)) {
+ errmsg = "TAG_ERROR1";
+ goto err;
+ }
+ /* Now reinit */
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_GCM_SET_IVLEN, t->ivlen2, NULL))) {
+ errmsg = "SET_IVLEN2";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, NULL, NULL, NULL, t->iv2, -1))) {
+ errmsg = "SET_IV2";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, NULL, &outlen3, gcmAAD, sizeof(gcmAAD)))) {
+ errmsg = "AAD2";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, outbuf, &outlen1, gcmResetPlaintext,
+ sizeof(gcmResetPlaintext)))) {
+ errmsg = "CIPHER_UPDATE2";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherFinal_ex(ctx, outbuf + outlen1, &outlen2))) {
+ errmsg = "CIPHER_FINAL2";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->expected2, t->expectedlen2, outbuf, outlen1 + outlen2)) {
+ errmsg = "WRONG_RESULT2";
+ goto err;
+ }
+ if (!TEST_true(EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_AEAD_GET_TAG, taglen, tag))) {
+ errmsg = "GET_TAG2";
+ goto err;
+ }
+ if (!TEST_mem_eq(t->tag2, taglen, tag, taglen)) {
+ errmsg = "TAG_ERROR2";
+ goto err;
+ }
+ testresult = 1;
+ err:
+ if (errmsg != NULL)
+ TEST_info("evp_init_test %d: %s", idx, errmsg);
+ EVP_CIPHER_CTX_free(ctx);
+ return testresult;
+}
+
+typedef struct {
+ const char *cipher;
+ int enc;
+} EVP_UPDATED_IV_TEST_st;
+
+static const EVP_UPDATED_IV_TEST_st evp_updated_iv_tests[] = {
+ {
+ "aes-128-cfb", 1
+ },
+ {
+ "aes-128-cfb", 0
+ },
+ {
+ "aes-128-cfb1", 1
+ },
+ {
+ "aes-128-cfb1", 0
+ },
+ {
+ "aes-128-cfb128", 1
+ },
+ {
+ "aes-128-cfb128", 0
+ },
+ {
+ "aes-128-cfb8", 1
+ },
+ {
+ "aes-128-cfb8", 0
+ },
+ {
+ "aes-128-ofb", 1
+ },
+ {
+ "aes-128-ofb", 0
+ },
+ {
+ "aes-128-ctr", 1
+ },
+ {
+ "aes-128-ctr", 0
+ },
+ {
+ "aes-128-cbc", 1
+ },
+ {
+ "aes-128-cbc", 0
+ }
+};
+
+/*
+ * Test that the IV in the context is updated during a crypto operation for CFB
+ * and OFB.
+ */
+static int test_evp_updated_iv(int idx)
+{
+ const EVP_UPDATED_IV_TEST_st *t = &evp_updated_iv_tests[idx];
+ int outlen1, outlen2;
+ int testresult = 0;
+ unsigned char outbuf[1024];
+ EVP_CIPHER_CTX *ctx = NULL;
+ const EVP_CIPHER *type = NULL;
+ const unsigned char *updated_iv;
+ int iv_len;
+ char *errmsg = NULL;
+
+ if (!TEST_ptr(ctx = EVP_CIPHER_CTX_new())) {
+ errmsg = "CTX_ALLOC";
+ goto err;
+ }
+ if ((type = EVP_get_cipherbyname(t->cipher)) == NULL) {
+ TEST_info("cipher %s not supported, skipping", t->cipher);
+ goto ok;
+ }
+ if (!TEST_true(EVP_CipherInit_ex(ctx, type, NULL, kCFBDefaultKey, iCFBIV, t->enc))) {
+ errmsg = "CIPHER_INIT";
+ goto err;
+ }
+ if (!TEST_true(EVP_CIPHER_CTX_set_padding(ctx, 0))) {
+ errmsg = "PADDING";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherUpdate(ctx, outbuf, &outlen1, cfbPlaintext, sizeof(cfbPlaintext)))) {
+ errmsg = "CIPHER_UPDATE";
+ goto err;
+ }
+ if (!TEST_ptr(updated_iv = EVP_CIPHER_CTX_iv(ctx))) {
+ errmsg = "CIPHER_CTX_IV";
+ goto err;
+ }
+ if (!TEST_true(iv_len = EVP_CIPHER_CTX_iv_length(ctx))) {
+ errmsg = "CIPHER_CTX_IV_LEN";
+ goto err;
+ }
+ if (!TEST_mem_ne(iCFBIV, sizeof(iCFBIV), updated_iv, iv_len)) {
+ errmsg = "IV_NOT_UPDATED";
+ goto err;
+ }
+ if (!TEST_true(EVP_CipherFinal_ex(ctx, outbuf + outlen1, &outlen2))) {
+ errmsg = "CIPHER_FINAL";
+ goto err;
+ }
+ ok:
+ testresult = 1;
+ err:
+ if (errmsg != NULL)
+ TEST_info("test_evp_updated_iv %d: %s", idx, errmsg);
+ EVP_CIPHER_CTX_free(ctx);
+ return testresult;
+}
+
static APK_DATA keydata[] = {
{kExampleRSAKeyDER, sizeof(kExampleRSAKeyDER), EVP_PKEY_RSA},
{kExampleRSAKeyPKCS8, sizeof(kExampleRSAKeyPKCS8), EVP_PKEY_RSA},
@@ -818,10 +1398,14 @@ static struct keys_st {
} keys[] = {
{
EVP_PKEY_HMAC, "0123456789", NULL
+#ifndef OPENSSL_NO_POLY1305
}, {
EVP_PKEY_POLY1305, "01234567890123456789012345678901", NULL
+#endif
+#ifndef OPENSSL_NO_SIPHASH
}, {
EVP_PKEY_SIPHASH, "0123456789012345", NULL
+#endif
},
#ifndef OPENSSL_NO_EC
{
@@ -851,18 +1435,22 @@ static int test_set_get_raw_keys_int(int tst, int pub)
EVP_PKEY *pkey;
/* Check if this algorithm supports public keys */
- if (keys[tst].pub == NULL)
+ if (pub && keys[tst].pub == NULL)
return 1;
memset(buf, 0, sizeof(buf));
if (pub) {
+#ifndef OPENSSL_NO_EC
inlen = strlen(keys[tst].pub);
in = (unsigned char *)keys[tst].pub;
pkey = EVP_PKEY_new_raw_public_key(keys[tst].type,
NULL,
in,
inlen);
+#else
+ return 1;
+#endif
} else {
inlen = strlen(keys[tst].priv);
in = (unsigned char *)keys[tst].priv;
@@ -873,6 +1461,7 @@ static int test_set_get_raw_keys_int(int tst, int pub)
}
if (!TEST_ptr(pkey)
+ || !TEST_int_eq(EVP_PKEY_cmp(pkey, pkey), 1)
|| (!pub && !TEST_true(EVP_PKEY_get_raw_private_key(pkey, NULL, &len)))
|| (pub && !TEST_true(EVP_PKEY_get_raw_public_key(pkey, NULL, &len)))
|| !TEST_true(len == inlen)
@@ -1171,10 +1760,249 @@ static int test_EVP_PKEY_set1_DH(void)
return ret;
}
-#endif
+#endif /* OPENSSL_NO_DH */
+
+typedef struct {
+ int data;
+} custom_dgst_ctx;
+
+static int custom_md_init_called = 0;
+static int custom_md_cleanup_called = 0;
+
+static int custom_md_init(EVP_MD_CTX *ctx)
+{
+ custom_dgst_ctx *p = EVP_MD_CTX_md_data(ctx);
+
+ if (p == NULL)
+ return 0;
+
+ custom_md_init_called++;
+ return 1;
+}
+
+static int custom_md_cleanup(EVP_MD_CTX *ctx)
+{
+ custom_dgst_ctx *p = EVP_MD_CTX_md_data(ctx);
+
+ if (p == NULL)
+ /* Nothing to do */
+ return 1;
+
+ custom_md_cleanup_called++;
+ return 1;
+}
+
+static int test_custom_md_meth(void)
+{
+ EVP_MD_CTX *mdctx = NULL;
+ EVP_MD *tmp = NULL;
+ char mess[] = "Test Message\n";
+ unsigned char md_value[EVP_MAX_MD_SIZE];
+ unsigned int md_len;
+ int testresult = 0;
+ int nid;
+
+ custom_md_init_called = custom_md_cleanup_called = 0;
+
+ nid = OBJ_create("1.3.6.1.4.1.16604.998866.1", "custom-md", "custom-md");
+ if (!TEST_int_ne(nid, NID_undef))
+ goto err;
+ tmp = EVP_MD_meth_new(nid, NID_undef);
+ if (!TEST_ptr(tmp))
+ goto err;
+
+ if (!TEST_true(EVP_MD_meth_set_init(tmp, custom_md_init))
+ || !TEST_true(EVP_MD_meth_set_cleanup(tmp, custom_md_cleanup))
+ || !TEST_true(EVP_MD_meth_set_app_datasize(tmp,
+ sizeof(custom_dgst_ctx))))
+ goto err;
+
+ mdctx = EVP_MD_CTX_new();
+ if (!TEST_ptr(mdctx)
+ /*
+ * Initing our custom md and then initing another md should
+ * result in the init and cleanup functions of the custom md
+ * from being called.
+ */
+ || !TEST_true(EVP_DigestInit_ex(mdctx, tmp, NULL))
+ || !TEST_true(EVP_DigestInit_ex(mdctx, EVP_sha256(), NULL))
+ || !TEST_true(EVP_DigestUpdate(mdctx, mess, strlen(mess)))
+ || !TEST_true(EVP_DigestFinal_ex(mdctx, md_value, &md_len))
+ || !TEST_int_eq(custom_md_init_called, 1)
+ || !TEST_int_eq(custom_md_cleanup_called, 1))
+ goto err;
+
+ testresult = 1;
+ err:
+ EVP_MD_CTX_free(mdctx);
+ EVP_MD_meth_free(tmp);
+ return testresult;
+}
+
+#if !defined(OPENSSL_NO_ENGINE) && !defined(OPENSSL_NO_DYNAMIC_ENGINE)
+/* Test we can create a signature keys with an associated ENGINE */
+static int test_signatures_with_engine(int tst)
+{
+ ENGINE *e;
+ const char *engine_id = "dasync";
+ EVP_PKEY *pkey = NULL;
+ const unsigned char badcmackey[] = { 0x00, 0x01 };
+ const unsigned char cmackey[] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b,
+ 0x0c, 0x0d, 0x0e, 0x0f
+ };
+ const unsigned char ed25519key[] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b,
+ 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
+ 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f
+ };
+ const unsigned char msg[] = { 0x00, 0x01, 0x02, 0x03 };
+ int testresult = 0;
+ EVP_MD_CTX *ctx = NULL;
+ unsigned char *mac = NULL;
+ size_t maclen = 0;
+ int ret;
+
+# ifdef OPENSSL_NO_CMAC
+ /* Skip CMAC tests in a no-cmac build */
+ if (tst <= 1)
+ return 1;
+# endif
+
+ if (!TEST_ptr(e = ENGINE_by_id(engine_id)))
+ return 0;
+
+ if (!TEST_true(ENGINE_init(e))) {
+ ENGINE_free(e);
+ return 0;
+ }
+
+ switch (tst) {
+ case 0:
+ pkey = EVP_PKEY_new_CMAC_key(e, cmackey, sizeof(cmackey),
+ EVP_aes_128_cbc());
+ break;
+ case 1:
+ pkey = EVP_PKEY_new_CMAC_key(e, badcmackey, sizeof(badcmackey),
+ EVP_aes_128_cbc());
+ break;
+ case 2:
+ pkey = EVP_PKEY_new_raw_private_key(EVP_PKEY_ED25519, e, ed25519key,
+ sizeof(ed25519key));
+ break;
+ default:
+ TEST_error("Invalid test case");
+ goto err;
+ }
+ if (tst == 1) {
+ /*
+ * In 1.1.1 CMAC keys will fail to during EVP_PKEY_new_CMAC_key() if the
+ * key is bad. In later versions this isn't detected until later.
+ */
+ if (!TEST_ptr_null(pkey))
+ goto err;
+ } else {
+ if (!TEST_ptr(pkey))
+ goto err;
+ }
+
+ if (tst == 0 || tst == 1) {
+ /*
+ * We stop the test here for tests 0 and 1. The dasync engine doesn't
+ * actually support CMAC in 1.1.1.
+ */
+ testresult = 1;
+ goto err;
+ }
+
+ if (!TEST_ptr(ctx = EVP_MD_CTX_new()))
+ goto err;
+
+ ret = EVP_DigestSignInit(ctx, NULL, tst == 2 ? NULL : EVP_sha256(), NULL,
+ pkey);
+ if (tst == 0) {
+ if (!TEST_true(ret))
+ goto err;
+
+ if (!TEST_true(EVP_DigestSignUpdate(ctx, msg, sizeof(msg)))
+ || !TEST_true(EVP_DigestSignFinal(ctx, NULL, &maclen)))
+ goto err;
+
+ if (!TEST_ptr(mac = OPENSSL_malloc(maclen)))
+ goto err;
+
+ if (!TEST_true(EVP_DigestSignFinal(ctx, mac, &maclen)))
+ goto err;
+ } else {
+ /* We used a bad key. We expect a failure here */
+ if (!TEST_false(ret))
+ goto err;
+ }
+
+ testresult = 1;
+ err:
+ EVP_MD_CTX_free(ctx);
+ OPENSSL_free(mac);
+ EVP_PKEY_free(pkey);
+ ENGINE_finish(e);
+ ENGINE_free(e);
+
+ return testresult;
+}
+
+static int test_cipher_with_engine(void)
+{
+ ENGINE *e;
+ const char *engine_id = "dasync";
+ const unsigned char keyiv[] = {
+ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b,
+ 0x0c, 0x0d, 0x0e, 0x0f
+ };
+ const unsigned char msg[] = { 0x00, 0x01, 0x02, 0x03 };
+ int testresult = 0;
+ EVP_CIPHER_CTX *ctx = NULL, *ctx2 = NULL;
+ unsigned char buf[AES_BLOCK_SIZE];
+ int len = 0;
+
+ if (!TEST_ptr(e = ENGINE_by_id(engine_id)))
+ return 0;
+
+ if (!TEST_true(ENGINE_init(e))) {
+ ENGINE_free(e);
+ return 0;
+ }
+
+ if (!TEST_ptr(ctx = EVP_CIPHER_CTX_new())
+ || !TEST_ptr(ctx2 = EVP_CIPHER_CTX_new()))
+ goto err;
+
+ if (!TEST_true(EVP_EncryptInit_ex(ctx, EVP_aes_128_cbc(), e, keyiv, keyiv)))
+ goto err;
+
+ /* Copy the ctx, and complete the operation with the new ctx */
+ if (!TEST_true(EVP_CIPHER_CTX_copy(ctx2, ctx)))
+ goto err;
+
+ if (!TEST_true(EVP_EncryptUpdate(ctx2, buf, &len, msg, sizeof(msg)))
+ || !TEST_true(EVP_EncryptFinal_ex(ctx2, buf + len, &len)))
+ goto err;
+
+ testresult = 1;
+ err:
+ EVP_CIPHER_CTX_free(ctx);
+ EVP_CIPHER_CTX_free(ctx2);
+ ENGINE_finish(e);
+ ENGINE_free(e);
+
+ return testresult;
+}
+#endif /* !defined(OPENSSL_NO_ENGINE) && !defined(OPENSSL_NO_DYNAMIC_ENGINE) */
int setup_tests(void)
{
+#if !defined(OPENSSL_NO_ENGINE) && !defined(OPENSSL_NO_DYNAMIC_ENGINE)
+ ENGINE_load_builtin_engines();
+#endif
ADD_TEST(test_EVP_DigestSignInit);
ADD_TEST(test_EVP_DigestVerifyInit);
ADD_TEST(test_EVP_Enveloped);
@@ -1209,5 +2037,20 @@ int setup_tests(void)
ADD_TEST(test_EVP_PKEY_set1_DH);
#endif
+ ADD_ALL_TESTS(test_evp_init_seq, OSSL_NELEM(evp_init_tests));
+ ADD_ALL_TESTS(test_evp_reset, OSSL_NELEM(evp_reset_tests));
+ ADD_ALL_TESTS(test_gcm_reinit, OSSL_NELEM(gcm_reinit_tests));
+ ADD_ALL_TESTS(test_evp_updated_iv, OSSL_NELEM(evp_updated_iv_tests));
+
+ ADD_TEST(test_custom_md_meth);
+#if !defined(OPENSSL_NO_ENGINE) && !defined(OPENSSL_NO_DYNAMIC_ENGINE)
+# ifndef OPENSSL_NO_EC
+ ADD_ALL_TESTS(test_signatures_with_engine, 3);
+# else
+ ADD_ALL_TESTS(test_signatures_with_engine, 2);
+# endif
+ ADD_TEST(test_cipher_with_engine);
+#endif
+
return 1;
}
diff --git a/test/evp_test.c b/test/evp_test.c
index abb51384..62f20ece 100644
--- a/test/evp_test.c
+++ b/test/evp_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -1777,7 +1777,7 @@ static int kdf_test_run(EVP_TEST *t)
unsigned char *got = NULL;
size_t got_len = expected->output_len;
- if (!TEST_ptr(got = OPENSSL_malloc(got_len))) {
+ if (!TEST_ptr(got = OPENSSL_malloc(got_len == 0 ? 1 : got_len))) {
t->err = "INTERNAL_ERROR";
goto err;
}
diff --git a/test/packettest.c b/test/packettest.c
index 6c82d044..5816158a 100644
--- a/test/packettest.c
+++ b/test/packettest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -302,7 +302,7 @@ static int test_PACKET_forward(void)
static int test_PACKET_buf_init(void)
{
- unsigned char buf1[BUF_LEN];
+ unsigned char buf1[BUF_LEN] = { 0 };
PACKET pkt;
/* Also tests PACKET_remaining() */
diff --git a/test/recipes/01-test_symbol_presence.t b/test/recipes/01-test_symbol_presence.t
index 7f2a2d75..16395eea 100644
--- a/test/recipes/01-test_symbol_presence.t
+++ b/test/recipes/01-test_symbol_presence.t
@@ -1,6 +1,6 @@
#! /usr/bin/env perl
# -*- mode: Perl -*-
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -37,12 +37,12 @@ foreach my $libname (@libnames) {
*OSTDOUT = *STDOUT;
open STDERR, ">", devnull();
open STDOUT, ">", devnull();
- my @nm_lines = map { s|\R$||; $_ } `nm -Pg $shlibpath 2> /dev/null`;
+ my @nm_lines = map { s|\R$||; $_ } `nm -DPg $shlibpath 2> /dev/null`;
close STDERR;
close STDOUT;
*STDERR = *OSTDERR;
*STDOUT = *OSTDOUT;
- skip "Can't run 'nm -Pg $shlibpath' => $?... ignoring", 2
+ skip "Can't run 'nm -DPg $shlibpath' => $?... ignoring", 2
unless $? == 0;
my $bldtop = bldtop_dir();
@@ -57,7 +57,17 @@ foreach my $libname (@libnames) {
note "Number of lines in \@def_lines before massaging: ", scalar @def_lines;
# Massage the nm output to only contain defined symbols
- @nm_lines = sort map { s| .*||; $_ } grep(m|.* [BCDST] .*|, @nm_lines);
+ @nm_lines =
+ sort
+ map {
+ # Drop the first space and everything following it
+ s| .*||;
+ # Drop OpenSSL dynamic version information if there is any
+ s|\@\@OPENSSL_[0-9._]+[a-z]?$||;
+ # Return the result
+ $_
+ }
+ grep(m|.* [BCDST] .*|, @nm_lines);
# Massage the mkdef.pl output to only contain global symbols
# The output we got is in Unix .map format, which has a global
diff --git a/test/recipes/10-test_bn_data/bnmod.txt b/test/recipes/10-test_bn_data/bnmod.txt
index 5ea4d031..6c94a0f0 100644
--- a/test/recipes/10-test_bn_data/bnmod.txt
+++ b/test/recipes/10-test_bn_data/bnmod.txt
@@ -1,4 +1,4 @@
-# Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2016-2022 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -2799,3 +2799,15 @@ P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
ModSqrt = a1d52989f12f204d3d2167d9b1e6c8a6174c0c786a979a5952383b7b8bd186
A = 2eee37cf06228a387788188e650bc6d8a2ff402931443f69156a29155eca07dcb45f3aac238d92943c0c25c896098716baa433f25bd696a142f5a69d5d937e81
P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
+
+# Negative testcases for BN_mod_sqrt()
+
+# This one triggers an infinite loop with unfixed implementation
+# It should just fail.
+ModSqrt = -1
+A = 20a7ee
+P = 460201
+
+ModSqrt = -1
+A = 65bebdb00a96fc814ec44b81f98b59fba3c30203928fa5214c51e0a97091645280c947b005847f239758482b9bfc45b066fde340d1fe32fc9c1bf02e1b2d0ed
+P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
diff --git a/test/recipes/15-test_genrsa.t b/test/recipes/15-test_genrsa.t
index e16a9a40..71d6836c 100644
--- a/test/recipes/15-test_genrsa.t
+++ b/test/recipes/15-test_genrsa.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2022 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -16,7 +16,7 @@ use OpenSSL::Test::Utils;
setup("test_genrsa");
-plan tests => 5;
+plan tests => 7;
# We want to know that an absurdly small number of bits isn't support
is(run(app([ 'openssl', 'genrsa', '-3', '-out', 'genrsatest.pem', '8'])), 0, "genrsa -3 8");
@@ -52,3 +52,8 @@ ok(run(app([ 'openssl', 'genrsa', '-f4', '-out', 'genrsatest.pem', $good ])),
"genrsa -f4 $good");
ok(run(app([ 'openssl', 'rsa', '-check', '-in', 'genrsatest.pem', '-noout' ])),
"rsa -check");
+ok(run(app([ 'openssl', 'rsa', '-in', 'genrsatest.pem', '-out', 'genrsatest-enc.pem',
+ '-aes256', '-passout', 'pass:x' ])),
+ "rsa encrypt");
+ok(run(app([ 'openssl', 'rsa', '-in', 'genrsatest-enc.pem', '-passin', 'pass:x' ])),
+ "rsa decrypt");
diff --git a/test/recipes/20-test_dgst.t b/test/recipes/20-test_dgst.t
index 13c2b3af..f96ff118 100644
--- a/test/recipes/20-test_dgst.t
+++ b/test/recipes/20-test_dgst.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2022 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the Apache License 2.0 (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -11,12 +11,12 @@ use strict;
use warnings;
use File::Spec;
-use OpenSSL::Test qw/:DEFAULT with srctop_file/;
+use OpenSSL::Test qw/:DEFAULT with srctop_file bldtop_dir/;
use OpenSSL::Test::Utils;
setup("test_dgst");
-plan tests => 5;
+plan tests => 6;
sub tsignverify {
my $testtext = shift;
@@ -102,3 +102,22 @@ SKIP: {
srctop_file("test","tested448pub.pem"));
};
}
+
+SKIP: {
+ skip "dgst with engine is not supported by this OpenSSL build", 1
+ if disabled("engine") || disabled("dynamic-engine");
+
+ subtest "SHA1 generation by engine with `dgst` CLI" => sub {
+ plan tests => 1;
+
+ my $testdata = srctop_file('test', 'data.bin');
+ # intentionally using -engine twice, please do not remove the duplicate line
+ my @macdata = run(app(['openssl', 'dgst', '-sha1',
+ '-engine', "ossltest",
+ '-engine', "ossltest",
+ $testdata]), capture => 1);
+ chomp(@macdata);
+ my $expected = qr/SHA1\(\Q$testdata\E\)= 000102030405060708090a0b0c0d0e0f10111213/;
+ ok($macdata[0] =~ $expected, "SHA1: Check HASH value is as expected ($macdata[0]) vs ($expected)");
+ }
+}
diff --git a/test/recipes/25-test_req.t b/test/recipes/25-test_req.t
index 5e1ea308..383120c2 100644
--- a/test/recipes/25-test_req.t
+++ b/test/recipes/25-test_req.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -47,7 +47,7 @@ ok(!run(app([@addext_args, "-addext", $val, "-addext", $val3])));
ok(!run(app([@addext_args, "-addext", $val2, "-addext", $val3])));
subtest "generating certificate requests with RSA" => sub {
- plan tests => 2;
+ plan tests => 6;
SKIP: {
skip "RSA is not supported by this OpenSSL build", 2
@@ -63,6 +63,29 @@ subtest "generating certificate requests with RSA" => sub {
"-config", srctop_file("test", "test.cnf"),
"-verify", "-in", "testreq.pem", "-noout"])),
"Verifying signature on request");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq_withattrs_pem.pem", "-utf8",
+ "-key", srctop_file("test", "testrsa_withattrs.pem")])),
+ "Generating request from a key with extra attributes - PEM");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq_withattrs_pem.pem", "-noout"])),
+ "Verifying signature on request from a key with extra attributes - PEM");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-new", "-out", "testreq_withattrs_der.pem", "-utf8",
+ "-key", srctop_file("test", "testrsa_withattrs.der"),
+ "-keyform", "DER"])),
+ "Generating request from a key with extra attributes - PEM");
+
+ ok(run(app(["openssl", "req",
+ "-config", srctop_file("test", "test.cnf"),
+ "-verify", "-in", "testreq_withattrs_der.pem", "-noout"])),
+ "Verifying signature on request from a key with extra attributes - PEM");
}
};
@@ -165,7 +188,7 @@ run_conversion('req conversions',
run_conversion('req conversions -- testreq2',
srctop_file("test", "testreq2.pem"));
-unlink "testkey.pem", "testreq.pem";
+unlink "testkey.pem", "testreq.pem", "testreq_withattrs_pem.pem", "testreq_withattrs_der.pem";
sub run_conversion {
my $title = shift;
diff --git a/test/recipes/25-test_verify.t b/test/recipes/25-test_verify.t
index 96b559e5..ffa48ed2 100644
--- a/test/recipes/25-test_verify.t
+++ b/test/recipes/25-test_verify.t
@@ -396,7 +396,8 @@ ok(verify("some-names2", "sslserver", ["many-constraints"], ["many-constraints"]
ok(verify("root-cert-rsa2", "sslserver", ["root-cert-rsa2"], [], "-check_ss_sig"),
"Public Key Algorithm rsa instead of rsaEncryption");
- ok(verify("ee-self-signed", "sslserver", ["ee-self-signed"], []),
+ok(verify("ee-self-signed", "sslserver", ["ee-self-signed"], [],
+ "-attime", "1593565200"),
"accept trusted self-signed EE cert excluding key usage keyCertSign");
SKIP: {
diff --git a/test/recipes/30-test_evp_data/evpkdf.txt b/test/recipes/30-test_evp_data/evpkdf.txt
index 9a6cc283..7ff67718 100644
--- a/test/recipes/30-test_evp_data/evpkdf.txt
+++ b/test/recipes/30-test_evp_data/evpkdf.txt
@@ -1,5 +1,5 @@
#
-# Copyright 2001-2017 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2001-2022 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -294,12 +294,12 @@ Ctrl.r = r:8
Ctrl.p = p:1
Output = 7023bdcb3afd7348461c06cd81fd38ebfda8fbba904f8e3ea9b543f6545da1f2d5432955613f0fcf62d49705242a9af9e61e85dc0d651e40dfcf017b45575887
-# Out of memory
+# Out of memory - request > 2 GB of memory
KDF = scrypt
Ctrl.pass = pass:pleaseletmein
Ctrl.salt = salt:SodiumChloride
-Ctrl.N = N:1048576
+Ctrl.N = N:2097152
Ctrl.r = r:8
Ctrl.p = p:1
-Result = INTERNAL_ERROR
+Result = KDF_DERIVE_ERROR
diff --git a/test/recipes/30-test_evp_data/evppkey.txt b/test/recipes/30-test_evp_data/evppkey.txt
index 736e0ce4..05baeae7 100644
--- a/test/recipes/30-test_evp_data/evppkey.txt
+++ b/test/recipes/30-test_evp_data/evppkey.txt
@@ -1,5 +1,5 @@
#
-# Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -18444,6 +18444,16 @@ Decrypt = SM2_key1
Input = 30818A0220466BE2EF5C11782EC77864A0055417F407A5AFC11D653C6BCE69E417BB1D05B6022062B572E21FF0DDF5C726BD3F9FF2EAE56E6294713A607E9B9525628965F62CC804203C1B5713B5DB2728EB7BF775E44F4689FC32668BDC564F52EA45B09E8DF2A5F40422084A9D0CC2997092B7D3C404FCE95956EB604D732B2307A8E5B8900ED6608CA5B197
Output = "The floofy bunnies hop at midnight"
+# Test with an C1y value < 32 bytes in length (self generated)
+Decrypt = SM2_key1
+Input = 3072022070DAD60CDA7C30D64CF4F278A849003581223F5324BFEC9BB329229BFFAD21A6021F18AFAB2B35459D2643243B242BE4EA80C6FA5071D2D847340CC57EB9309E5D04200B772E4DB664B2601E3B85E39C4AA8C2C1910308BE13B331E009C5A9258C29FD040B6D588BE9260A94DA18E0E6
+Output = "Hello World"
+
+# Test with an C1x and C1y valuey > 32 bytes in length, and longer plaintext (self generated)
+Decrypt = SM2_key1
+Input = 3081DD022100CD49634BBCB21CAFFFA6D33669A5A867231CB2A942A14352EF4CAF6DC3344D54022100C35B41D4DEBB3A2735EFEE821B9EBA566BD86900176A0C06672E30EE5CC04E930420C4190A3D80D86C4BD20E99F7E4B59BF6427C6808793533EEA9591D1188EC56B50473747295470E81D951BED279AC1B86A1AFE388CD2833FA9632799EC199C7D364E5663D5A94888BB2358CFCBF6283184DE0CBC41CCEA91D24746E99D231A1DA77AFD83CDF908190ED628B7369724494568A27C782A1D1D7294BCAD80C34569ED22859896301128A8118F48924D8CCD43E998D9533
+Output = "Some longer plaintext for testing SM2 decryption. Blah blah blah blah blah blah blah blah blah blah blah blah blah."
+
# This is a "fake" test as it does only verify that the SM2 EVP_PKEY interface
# is capable of creating a signature without failing, but it does not say
# anything about the generated signature being valid, nor does it test the
diff --git a/test/recipes/70-test_tls13kexmodes.t b/test/recipes/70-test_tls13kexmodes.t
index 98989b47..1f76bcb8 100644
--- a/test/recipes/70-test_tls13kexmodes.t
+++ b/test/recipes/70-test_tls13kexmodes.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2017-2019 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -195,17 +195,14 @@ $proxy->start() or plan skip_all => "Unable to start up Proxy for tests";
plan tests => 11;
ok(TLSProxy::Message->success(), "Initial connection");
-#Test 2: Attempt a resume with no kex modes extension. Should not resume
+#Test 2: Attempt a resume with no kex modes extension. Should fail (server
+# MUST abort handshake with pre_shared key and no psk_kex_modes)
$proxy->clear();
$proxy->clientflags("-sess_in ".$session);
my $testtype = DELETE_EXTENSION;
$proxy->filter(\&modify_kex_modes_filter);
$proxy->start();
-checkhandshake($proxy, checkhandshake::DEFAULT_HANDSHAKE,
- checkhandshake::DEFAULT_EXTENSIONS
- | checkhandshake::KEY_SHARE_SRV_EXTENSION
- | checkhandshake::PSK_CLI_EXTENSION,
- "Resume with no kex modes");
+ok(TLSProxy::Message->fail(), "Resume with no kex modes");
#Test 3: Attempt a resume with empty kex modes extension. Should fail (empty
# extension is invalid)
@@ -243,6 +240,7 @@ checkhandshake($proxy, checkhandshake::RESUME_HANDSHAKE,
"Resume with non-dhe kex mode");
#Test 6: Attempt a resume with only unrecognised kex modes. Should not resume
+# but rather fall back to full handshake
$proxy->clear();
$proxy->clientflags("-sess_in ".$session);
$testtype = UNKNOWN_KEX_MODES;
@@ -252,7 +250,7 @@ checkhandshake($proxy, checkhandshake::DEFAULT_HANDSHAKE,
| checkhandshake::PSK_KEX_MODES_EXTENSION
| checkhandshake::KEY_SHARE_SRV_EXTENSION
| checkhandshake::PSK_CLI_EXTENSION,
- "Resume with empty kex modes");
+ "Resume with unrecognized kex mode");
#Test 7: Attempt a resume with both non-dhe and dhe kex mode. Should resume with
# a key_share
diff --git a/test/recipes/70-test_verify_extra.t b/test/recipes/70-test_verify_extra.t
index 8c7c9576..91aecc56 100644
--- a/test/recipes/70-test_verify_extra.t
+++ b/test/recipes/70-test_verify_extra.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2022 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -7,14 +7,11 @@
# https://www.openssl.org/source/license.html
-use OpenSSL::Test qw/:DEFAULT srctop_file/;
+use OpenSSL::Test qw/:DEFAULT srctop_dir/;
setup("test_verify_extra");
plan tests => 1;
ok(run(test(["verify_extra_test",
- srctop_file("test", "certs", "roots.pem"),
- srctop_file("test", "certs", "untrusted.pem"),
- srctop_file("test", "certs", "bad.pem"),
- srctop_file("test", "certs", "rootCA.pem")])));
+ srctop_dir("test", "certs")])));
diff --git a/test/recipes/80-test_dane.t b/test/recipes/80-test_dane.t
index 527e6634..e26a6655 100644
--- a/test/recipes/80-test_dane.t
+++ b/test/recipes/80-test_dane.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -17,8 +17,12 @@ setup("test_dane");
plan skip_all => "test_dane uses ec which is not supported by this OpenSSL build"
if disabled("ec");
-plan tests => 1; # The number of tests being performed
+plan tests => 2; # The number of tests being performed
ok(run(test(["danetest", "example.com",
srctop_file("test", "danetest.pem"),
srctop_file("test", "danetest.in")])), "dane tests");
+
+ok(run(test(["danetest", "server.example",
+ srctop_file("test", "certs", "cross-root.pem"),
+ srctop_file("test", "dane-cross.in")])), "dane cross CA test");
diff --git a/test/recipes/80-test_ssl_old.t b/test/recipes/80-test_ssl_old.t
index 377bf090..19772f61 100644
--- a/test/recipes/80-test_ssl_old.t
+++ b/test/recipes/80-test_ssl_old.t
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 2015-2018 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 2015-2022 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -476,10 +476,10 @@ sub testssl {
subtest 'RSA/(EC)DHE/PSK tests' => sub {
######################################################################
- plan tests => 5;
+ plan tests => 10;
SKIP: {
- skip "TLSv1.0 is not supported by this OpenSSL build", 5
+ skip "TLSv1.0 is not supported by this OpenSSL build", 6
if $no_tls1;
SKIP: {
@@ -514,6 +514,51 @@ sub testssl {
ok(run(test([@ssltest, "-bio_pair", "-tls1", "-cipher", "PSK", "-psk", "abc123"])),
'test tls1 with PSK via BIO pair');
}
+
+ SKIP: {
+ skip "skipping auto PSK tests", 1
+ if ($no_dh || $no_psk || $no_ec);
+
+ ok(run(test(['ssltest_old', '-dhe2048', '-psk', '0102030405', '-cipher', '@SECLEVEL=2:DHE-PSK-AES128-CCM'])),
+ 'test auto DH meets security strength');
+ }
+ }
+
+ SKIP: {
+ skip "TLSv1.1 is not supported by this OpenSSL build", 4
+ if $no_tls1_1;
+
+ SKIP: {
+ skip "skipping auto DHE PSK test at SECLEVEL 3", 1
+ if ($no_dh || $no_psk);
+
+ ok(run(test(['ssltest_old', '-tls1_1', '-dhe4096', '-psk', '0102030405', '-cipher', '@SECLEVEL=3:DHE-PSK-AES256-CBC-SHA384'])),
+ 'test auto DHE PSK meets security strength');
+ }
+
+ SKIP: {
+ skip "skipping auto ECDHE PSK test at SECLEVEL 3", 1
+ if ($no_ec || $no_psk);
+
+ ok(run(test(['ssltest_old', '-tls1_1', '-no_dhe', '-psk', '0102030405', '-cipher', '@SECLEVEL=3:ECDHE-PSK-AES256-CBC-SHA384'])),
+ 'test auto ECDHE PSK meets security strength');
+ }
+
+ SKIP: {
+ skip "skipping no RSA PSK at SECLEVEL 3 test", 1
+ if ($no_rsa || $no_psk);
+
+ ok(!run(test(['ssltest_old', '-tls1_1', '-no_dhe', '-psk', '0102030405', '-cipher', '@SECLEVEL=3:RSA-PSK-AES256-CBC-SHA384'])),
+ 'test auto RSA PSK does not meet security level 3 requirements (PFS)');
+ }
+
+ SKIP: {
+ skip "skipping no PSK at SECLEVEL 3 test", 1
+ if ($no_psk);
+
+ ok(!run(test(['ssltest_old', '-tls1_1', '-no_dhe', '-psk', '0102030405', '-cipher', '@SECLEVEL=3:PSK-AES256-CBC-SHA384'])),
+ 'test auto PSK does not meet security level 3 requirements (PFS)');
+ }
}
};
diff --git a/test/rsa_test.c b/test/rsa_test.c
index be6db029..15e8767a 100644
--- a/test/rsa_test.c
+++ b/test/rsa_test.c
@@ -306,7 +306,6 @@ static int test_rsa_oaep(int idx)
int ret = 0;
RSA *key = NULL;
unsigned char ptext[256];
- unsigned char ctext[256];
static unsigned char ptext_ex[] = "\x54\x85\x9b\x34\x2c\x49\xea\x2a";
unsigned char ctext_ex[256];
int plen;
@@ -328,17 +327,17 @@ static int test_rsa_oaep(int idx)
/* Try decrypting corrupted ciphertexts. */
for (n = 0; n < clen; ++n) {
- ctext[n] ^= 1;
- num = RSA_private_decrypt(clen, ctext, ptext, key,
+ ctext_ex[n] ^= 1;
+ num = RSA_private_decrypt(clen, ctext_ex, ptext, key,
RSA_PKCS1_OAEP_PADDING);
if (!TEST_int_le(num, 0))
goto err;
- ctext[n] ^= 1;
+ ctext_ex[n] ^= 1;
}
/* Test truncated ciphertexts, as well as negative length. */
for (n = -1; n < clen; ++n) {
- num = RSA_private_decrypt(n, ctext, ptext, key,
+ num = RSA_private_decrypt(n, ctext_ex, ptext, key,
RSA_PKCS1_OAEP_PADDING);
if (!TEST_int_le(num, 0))
goto err;
diff --git a/test/sm2_internal_test.c b/test/sm2_internal_test.c
index 2bb73947..4951cd3e 100644
--- a/test/sm2_internal_test.c
+++ b/test/sm2_internal_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -185,7 +185,7 @@ static int test_sm2_crypt(const EC_GROUP *group,
if (!TEST_mem_eq(ctext, ctext_len, expected, ctext_len))
goto done;
- if (!TEST_true(sm2_plaintext_size(key, digest, ctext_len, &ptext_len))
+ if (!TEST_true(sm2_plaintext_size(ctext, ctext_len, &ptext_len))
|| !TEST_int_eq(ptext_len, msg_len))
goto done;
@@ -210,6 +210,7 @@ static int test_sm2_crypt(const EC_GROUP *group,
static int sm2_crypt_test(void)
{
int testresult = 0;
+ EC_GROUP *gm_group = NULL;
EC_GROUP *test_group =
create_EC_group
("8542D69E4C044F18E8B92435BF6FF7DE457283915C45517D722EDB8B08F1DFC3",
@@ -252,9 +253,49 @@ static int sm2_crypt_test(void)
"88E3C5AAFC0413229E6C9AEE2BB92CAD649FE2C035689785DA33"))
goto done;
+ /* From Annex C in both GM/T0003.5-2012 and GB/T 32918.5-2016.*/
+ gm_group = create_EC_group(
+ "fffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff",
+ "fffffffeffffffffffffffffffffffffffffffff00000000fffffffffffffffc",
+ "28e9fa9e9d9f5e344d5a9e4bcf6509a7f39789f515ab8f92ddbcbd414d940e93",
+ "32c4ae2c1f1981195f9904466a39c9948fe30bbff2660be1715a4589334c74c7",
+ "bc3736a2f4f6779c59bdcee36b692153d0a9877cc62a474002df32e52139f0a0",
+ "fffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123",
+ "1");
+
+ if (!TEST_ptr(gm_group))
+ goto done;
+
+ if (!test_sm2_crypt(
+ gm_group,
+ EVP_sm3(),
+ /* privkey (from which the encrypting public key is derived) */
+ "3945208F7B2144B13F36E38AC6D39F95889393692860B51A42FB81EF4DF7C5B8",
+ /* plaintext message */
+ "encryption standard",
+ /* ephemeral nonce k */
+ "59276E27D506861A16680F3AD9C02DCCEF3CC1FA3CDBE4CE6D54B80DEAC1BC21",
+ /*
+ * expected ciphertext, the field values are from GM/T 0003.5-2012
+ * (Annex C), but serialized following the ASN.1 format specified
+ * in GM/T 0009-2012 (Sec. 7.2).
+ */
+ "307C" /* SEQUENCE, 0x7c bytes */
+ "0220" /* INTEGER, 0x20 bytes */
+ "04EBFC718E8D1798620432268E77FEB6415E2EDE0E073C0F4F640ECD2E149A73"
+ "0221" /* INTEGER, 0x21 bytes */
+ "00" /* leading 00 due to DER for pos. int with topmost bit set */
+ "E858F9D81E5430A57B36DAAB8F950A3C64E6EE6A63094D99283AFF767E124DF0"
+ "0420" /* OCTET STRING, 0x20 bytes */
+ "59983C18F809E262923C53AEC295D30383B54E39D609D160AFCB1908D0BD8766"
+ "0413" /* OCTET STRING, 0x13 bytes */
+ "21886CA989CA9C7D58087307CA93092D651EFA"))
+ goto done;
+
testresult = 1;
done:
EC_GROUP_free(test_group);
+ EC_GROUP_free(gm_group);
return testresult;
}
diff --git a/test/sslapitest.c b/test/sslapitest.c
index 4a27ee1b..21322cee 100644
--- a/test/sslapitest.c
+++ b/test/sslapitest.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2016-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2016-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -17,6 +17,7 @@
#include <openssl/srp.h>
#include <openssl/txt_db.h>
#include <openssl/aes.h>
+#include <openssl/x509v3.h>
#include "ssltestlib.h"
#include "testutil.h"
@@ -1826,8 +1827,10 @@ static int execute_test_ssl_bio(int pop_ssl, bio_change_t change_bio)
/* Verify changing the rbio/wbio directly does not cause leaks */
if (change_bio != NO_BIO_CHANGE) {
- if (!TEST_ptr(membio2 = BIO_new(BIO_s_mem())))
+ if (!TEST_ptr(membio2 = BIO_new(BIO_s_mem()))) {
+ ssl = NULL;
goto end;
+ }
if (change_bio == CHANGE_RBIO)
SSL_set0_rbio(ssl, membio2);
else
@@ -4107,6 +4110,11 @@ static int sni_cb(SSL *s, int *al, void *arg)
return SSL_TLSEXT_ERR_OK;
}
+static int verify_cb(int preverify_ok, X509_STORE_CTX *x509_ctx)
+{
+ return 1;
+}
+
/*
* Custom call back tests.
* Test 0: Old style callbacks in TLSv1.2
@@ -4114,6 +4122,7 @@ static int sni_cb(SSL *s, int *al, void *arg)
* Test 2: New style callbacks in TLSv1.2 with SNI
* Test 3: New style callbacks in TLSv1.3. Extensions in CH and EE
* Test 4: New style callbacks in TLSv1.3. Extensions in CH, SH, EE, Cert + NST
+ * Test 5: New style callbacks in TLSv1.3. Extensions in CR + Client Cert
*/
static int test_custom_exts(int tst)
{
@@ -4155,7 +4164,19 @@ static int test_custom_exts(int tst)
SSL_CTX_set_options(sctx2, SSL_OP_NO_TLSv1_3);
}
- if (tst == 4) {
+ if (tst == 5) {
+ context = SSL_EXT_TLS1_3_CERTIFICATE_REQUEST
+ | SSL_EXT_TLS1_3_CERTIFICATE;
+ SSL_CTX_set_verify(sctx,
+ SSL_VERIFY_PEER | SSL_VERIFY_FAIL_IF_NO_PEER_CERT,
+ verify_cb);
+ if (!TEST_int_eq(SSL_CTX_use_certificate_file(cctx, cert,
+ SSL_FILETYPE_PEM), 1)
+ || !TEST_int_eq(SSL_CTX_use_PrivateKey_file(cctx, privkey,
+ SSL_FILETYPE_PEM), 1)
+ || !TEST_int_eq(SSL_CTX_check_private_key(cctx), 1))
+ goto end;
+ } else if (tst == 4) {
context = SSL_EXT_CLIENT_HELLO
| SSL_EXT_TLS1_2_SERVER_HELLO
| SSL_EXT_TLS1_3_SERVER_HELLO
@@ -4251,6 +4272,12 @@ static int test_custom_exts(int tst)
|| (tst != 2 && snicb != 0)
|| (tst == 2 && snicb != 1))
goto end;
+ } else if (tst == 5) {
+ if (clntaddnewcb != 1
+ || clntparsenewcb != 1
+ || srvaddnewcb != 1
+ || srvparsenewcb != 1)
+ goto end;
} else {
/* In this case there 2 NewSessionTicket messages created */
if (clntaddnewcb != 1
@@ -4267,8 +4294,8 @@ static int test_custom_exts(int tst)
SSL_free(clientssl);
serverssl = clientssl = NULL;
- if (tst == 3) {
- /* We don't bother with the resumption aspects for this test */
+ if (tst == 3 || tst == 5) {
+ /* We don't bother with the resumption aspects for these tests */
testresult = 1;
goto end;
}
@@ -6247,11 +6274,6 @@ static int client_cert_cb(SSL *ssl, X509 **x509, EVP_PKEY **pkey)
return 1;
}
-static int verify_cb(int preverify_ok, X509_STORE_CTX *x509_ctx)
-{
- return 1;
-}
-
static int test_client_cert_cb(int tst)
{
SSL_CTX *cctx = NULL, *sctx = NULL;
@@ -6713,6 +6735,118 @@ end:
return testresult;
}
#endif
+/*
+ * Test that setting an ALPN does not violate RFC
+ */
+static int test_set_alpn(void)
+{
+ SSL_CTX *ctx = NULL;
+ SSL *ssl = NULL;
+ int testresult = 0;
+
+ unsigned char bad0[] = { 0x00, 'b', 'a', 'd' };
+ unsigned char good[] = { 0x04, 'g', 'o', 'o', 'd' };
+ unsigned char bad1[] = { 0x01, 'b', 'a', 'd' };
+ unsigned char bad2[] = { 0x03, 'b', 'a', 'd', 0x00};
+ unsigned char bad3[] = { 0x03, 'b', 'a', 'd', 0x01, 'b', 'a', 'd'};
+ unsigned char bad4[] = { 0x03, 'b', 'a', 'd', 0x06, 'b', 'a', 'd'};
+
+ /* Create an initial SSL_CTX with no certificate configured */
+ ctx = SSL_CTX_new(TLS_server_method());
+ if (!TEST_ptr(ctx))
+ goto end;
+
+ /* the set_alpn functions return 0 (false) on success, non-zero (true) on failure */
+ if (!TEST_false(SSL_CTX_set_alpn_protos(ctx, NULL, 2)))
+ goto end;
+ if (!TEST_false(SSL_CTX_set_alpn_protos(ctx, good, 0)))
+ goto end;
+ if (!TEST_false(SSL_CTX_set_alpn_protos(ctx, good, sizeof(good))))
+ goto end;
+ if (!TEST_true(SSL_CTX_set_alpn_protos(ctx, good, 1)))
+ goto end;
+ if (!TEST_true(SSL_CTX_set_alpn_protos(ctx, bad0, sizeof(bad0))))
+ goto end;
+ if (!TEST_true(SSL_CTX_set_alpn_protos(ctx, bad1, sizeof(bad1))))
+ goto end;
+ if (!TEST_true(SSL_CTX_set_alpn_protos(ctx, bad2, sizeof(bad2))))
+ goto end;
+ if (!TEST_true(SSL_CTX_set_alpn_protos(ctx, bad3, sizeof(bad3))))
+ goto end;
+ if (!TEST_true(SSL_CTX_set_alpn_protos(ctx, bad4, sizeof(bad4))))
+ goto end;
+
+ ssl = SSL_new(ctx);
+ if (!TEST_ptr(ssl))
+ goto end;
+
+ if (!TEST_false(SSL_set_alpn_protos(ssl, NULL, 2)))
+ goto end;
+ if (!TEST_false(SSL_set_alpn_protos(ssl, good, 0)))
+ goto end;
+ if (!TEST_false(SSL_set_alpn_protos(ssl, good, sizeof(good))))
+ goto end;
+ if (!TEST_true(SSL_set_alpn_protos(ssl, good, 1)))
+ goto end;
+ if (!TEST_true(SSL_set_alpn_protos(ssl, bad0, sizeof(bad0))))
+ goto end;
+ if (!TEST_true(SSL_set_alpn_protos(ssl, bad1, sizeof(bad1))))
+ goto end;
+ if (!TEST_true(SSL_set_alpn_protos(ssl, bad2, sizeof(bad2))))
+ goto end;
+ if (!TEST_true(SSL_set_alpn_protos(ssl, bad3, sizeof(bad3))))
+ goto end;
+ if (!TEST_true(SSL_set_alpn_protos(ssl, bad4, sizeof(bad4))))
+ goto end;
+
+ testresult = 1;
+
+end:
+ SSL_free(ssl);
+ SSL_CTX_free(ctx);
+ return testresult;
+}
+
+static int test_inherit_verify_param(void)
+{
+ int testresult = 0;
+
+ SSL_CTX *ctx = NULL;
+ X509_VERIFY_PARAM *cp = NULL;
+ SSL *ssl = NULL;
+ X509_VERIFY_PARAM *sp = NULL;
+ int hostflags = X509_CHECK_FLAG_NEVER_CHECK_SUBJECT;
+
+ ctx = SSL_CTX_new(TLS_server_method());
+ if (!TEST_ptr(ctx))
+ goto end;
+
+ cp = SSL_CTX_get0_param(ctx);
+ if (!TEST_ptr(cp))
+ goto end;
+ if (!TEST_int_eq(X509_VERIFY_PARAM_get_hostflags(cp), 0))
+ goto end;
+
+ X509_VERIFY_PARAM_set_hostflags(cp, hostflags);
+
+ ssl = SSL_new(ctx);
+ if (!TEST_ptr(ssl))
+ goto end;
+
+ sp = SSL_get0_param(ssl);
+ if (!TEST_ptr(sp))
+ goto end;
+ if (!TEST_int_eq(X509_VERIFY_PARAM_get_hostflags(sp), hostflags))
+ goto end;
+
+ testresult = 1;
+
+ end:
+ SSL_free(ssl);
+ SSL_CTX_free(ctx);
+
+ return testresult;
+}
int setup_tests(void)
{
@@ -6807,7 +6941,7 @@ int setup_tests(void)
#else
ADD_ALL_TESTS(test_tls13_psk, 4);
#endif /* OPENSSL_NO_PSK */
- ADD_ALL_TESTS(test_custom_exts, 5);
+ ADD_ALL_TESTS(test_custom_exts, 6);
ADD_TEST(test_stateless);
ADD_TEST(test_pha_key_update);
#else
@@ -6840,6 +6974,8 @@ int setup_tests(void)
#ifndef OPENSSL_NO_TLS1_3
ADD_TEST(test_sni_tls13);
#endif
+ ADD_TEST(test_set_alpn);
+ ADD_TEST(test_inherit_verify_param);
return 1;
}
diff --git a/test/ssltest_old.c b/test/ssltest_old.c
index 36e6031f..3601066b 100644
--- a/test/ssltest_old.c
+++ b/test/ssltest_old.c
@@ -1,5 +1,5 @@
/*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
* Copyright 2005 Nokia. All rights reserved.
*
@@ -95,6 +95,8 @@ struct app_verify_arg {
static DH *get_dh512(void);
static DH *get_dh1024(void);
static DH *get_dh1024dsa(void);
+static DH *get_dh2048(void);
+static DH *get_dh4096(void);
#endif
static char *psk_key = NULL; /* by default PSK is not used */
@@ -641,6 +643,10 @@ static void sv_usage(void)
" -dhe1024 - use 1024 bit key (safe prime) for DHE (default, no-op)\n");
fprintf(stderr,
" -dhe1024dsa - use 1024 bit key (with 160-bit subprime) for DHE\n");
+ fprintf(stderr,
+ " -dhe2048 - use 2048 bit key (rfc3526 prime) for DHE\n");
+ fprintf(stderr,
+ " -dhe4096 - use 4096 bit key (rfc3526 prime) for DHE\n");
fprintf(stderr, " -no_dhe - disable DHE\n");
#endif
#ifndef OPENSSL_NO_EC
@@ -655,6 +661,12 @@ static void sv_usage(void)
#ifndef OPENSSL_NO_TLS1
fprintf(stderr, " -tls1 - use TLSv1\n");
#endif
+#ifndef OPENSSL_NO_TLS1_1
+ fprintf(stderr, " -tls1_1 - use TLSv1.1\n");
+#endif
+#ifndef OPENSSL_NO_TLS1_2
+ fprintf(stderr, " -tls1_2 - use TLSv1.2\n");
+#endif
#ifndef OPENSSL_NO_DTLS
fprintf(stderr, " -dtls - use DTLS\n");
#ifndef OPENSSL_NO_DTLS1
@@ -838,12 +850,14 @@ static SSL_SESSION *read_session(const char *filename)
static int write_session(const char *filename, SSL_SESSION *sess)
{
- BIO *f = BIO_new_file(filename, "w");
+ BIO *f;
if (sess == NULL) {
BIO_printf(bio_err, "No session information\n");
return 0;
}
+
+ f = BIO_new_file(filename, "w");
if (f == NULL) {
BIO_printf(bio_err, "Can't open session file %s\n", filename);
ERR_print_errors(bio_err);
@@ -878,7 +892,7 @@ int main(int argc, char *argv[])
int badop = 0;
enum { BIO_MEM, BIO_PAIR, BIO_IPV4, BIO_IPV6 } bio_type = BIO_MEM;
int force = 0;
- int dtls1 = 0, dtls12 = 0, dtls = 0, tls1 = 0, tls1_2 = 0, ssl3 = 0;
+ int dtls1 = 0, dtls12 = 0, dtls = 0, tls1 = 0, tls1_1 = 0, tls1_2 = 0, ssl3 = 0;
int ret = EXIT_FAILURE;
int client_auth = 0;
int server_auth = 0, i;
@@ -895,6 +909,7 @@ int main(int argc, char *argv[])
#ifndef OPENSSL_NO_DH
DH *dh;
int dhe512 = 0, dhe1024dsa = 0;
+ int dhe2048 = 0, dhe4096 = 0;
#endif
int no_dhe = 0;
int no_psk = 0;
@@ -989,6 +1004,20 @@ int main(int argc, char *argv[])
#else
fprintf(stderr,
"ignoring -dhe512, since I'm compiled without DH\n");
+#endif
+ } else if (strcmp(*argv, "-dhe4096") == 0) {
+#ifndef OPENSSL_NO_DH
+ dhe4096 = 1;
+#else
+ fprintf(stderr,
+ "ignoring -dhe4096, since I'm compiled without DH\n");
+#endif
+ } else if (strcmp(*argv, "-dhe2048") == 0) {
+#ifndef OPENSSL_NO_DH
+ dhe2048 = 1;
+#else
+ fprintf(stderr,
+ "ignoring -dhe2048, since I'm compiled without DH\n");
#endif
} else if (strcmp(*argv, "-dhe1024dsa") == 0) {
#ifndef OPENSSL_NO_DH
@@ -1016,6 +1045,8 @@ int main(int argc, char *argv[])
}
else if (strcmp(*argv, "-tls1_2") == 0) {
tls1_2 = 1;
+ } else if (strcmp(*argv, "-tls1_1") == 0) {
+ tls1_1 = 1;
} else if (strcmp(*argv, "-tls1") == 0) {
tls1 = 1;
} else if (strcmp(*argv, "-ssl3") == 0) {
@@ -1226,8 +1257,8 @@ int main(int argc, char *argv[])
goto end;
}
- if (ssl3 + tls1 + tls1_2 + dtls + dtls1 + dtls12 > 1) {
- fprintf(stderr, "At most one of -ssl3, -tls1, -tls1_2, -dtls, -dtls1 or -dtls12 should "
+ if (ssl3 + tls1 + tls1_1 + tls1_2 + dtls + dtls1 + dtls12 > 1) {
+ fprintf(stderr, "At most one of -ssl3, -tls1, -tls1_1, -tls1_2, -dtls, -dtls1 or -dtls12 should "
"be requested.\n");
EXIT(1);
}
@@ -1242,6 +1273,11 @@ int main(int argc, char *argv[])
no_protocol = 1;
else
#endif
+#ifdef OPENSSL_NO_TLS1_1
+ if (tls1_1)
+ no_protocol = 1;
+ else
+#endif
#ifdef OPENSSL_NO_TLS1_2
if (tls1_2)
no_protocol = 1;
@@ -1271,11 +1307,11 @@ int main(int argc, char *argv[])
goto end;
}
- if (!ssl3 && !tls1 && !tls1_2 && !dtls && !dtls1 && !dtls12 && number > 1
+ if (!ssl3 && !tls1 && !tls1_1 && !tls1_2 && !dtls && !dtls1 && !dtls12 && number > 1
&& !reuse && !force) {
fprintf(stderr, "This case cannot work. Use -f to perform "
"the test anyway (and\n-d to see what happens), "
- "or add one of -ssl3, -tls1, -tls1_2, -dtls, -dtls1, -dtls12, -reuse\n"
+ "or add one of -ssl3, -tls1, -tls1_1, -tls1_2, -dtls, -dtls1, -dtls12, -reuse\n"
"to avoid protocol mismatch.\n");
EXIT(1);
}
@@ -1327,6 +1363,9 @@ int main(int argc, char *argv[])
} else if (tls1) {
min_version = TLS1_VERSION;
max_version = TLS1_VERSION;
+ } else if (tls1_1) {
+ min_version = TLS1_1_VERSION;
+ max_version = TLS1_1_VERSION;
} else if (tls1_2) {
min_version = TLS1_2_VERSION;
max_version = TLS1_2_VERSION;
@@ -1482,6 +1521,10 @@ int main(int argc, char *argv[])
dh = get_dh1024dsa();
} else if (dhe512)
dh = get_dh512();
+ else if (dhe2048)
+ dh = get_dh2048();
+ else if (dhe4096)
+ dh = get_dh4096();
else
dh = get_dh1024();
SSL_CTX_set_tmp_dh(s_ctx, dh);
@@ -3019,6 +3062,62 @@ static DH *get_dh1024dsa(void)
DH_set_length(dh, 160);
return dh;
}
+
+static DH *get_dh2048(void)
+{
+ BIGNUM *p = NULL, *g = NULL;
+ DH *dh = NULL;
+
+ if ((dh = DH_new()) == NULL)
+ return NULL;
+
+ g = BN_new();
+ if (g == NULL || !BN_set_word(g, 2))
+ goto err;
+
+ p = BN_get_rfc3526_prime_2048(NULL);
+ if (p == NULL)
+ goto err;
+
+ if (!DH_set0_pqg(dh, p, NULL, g))
+ goto err;
+
+ return dh;
+
+ err:
+ DH_free(dh);
+ BN_free(p);
+ BN_free(g);
+ return NULL;
+}
+
+static DH *get_dh4096(void)
+{
+ BIGNUM *p = NULL, *g = NULL;
+ DH *dh = NULL;
+
+ if ((dh = DH_new()) == NULL)
+ return NULL;
+
+ g = BN_new();
+ if (g == NULL || !BN_set_word(g, 2))
+ goto err;
+
+ p = BN_get_rfc3526_prime_4096(NULL);
+ if (p == NULL)
+ goto err;
+
+ if (!DH_set0_pqg(dh, p, NULL, g))
+ goto err;
+
+ return dh;
+
+ err:
+ DH_free(dh);
+ BN_free(p);
+ BN_free(g);
+ return NULL;
+}
#endif
#ifndef OPENSSL_NO_PSK
diff --git a/test/testrsa_withattrs.der b/test/testrsa_withattrs.der
new file mode 100644
index 0000000000000000000000000000000000000000..811e1e0bcb003c43a63cf19dbe4ed46c483590fe
GIT binary patch
literal 1277
zcmV<Z1Oodof&}>j0RS)!1_>&LNQU<f0RaI800e>rsW5^Br2+u}0)hbn0PKgf7RDFt
zuBqTeEzGmw@gHMF34Lrvh=^B*7%Ob_4F^Ps+C_Ge<#NsNc{{Fk%4_j^tFnhx6vV-J
zc+ol-Fgx<o_Y__cNSdH>V1E9JaHla6`RxicB+O`J!%fZ~l~{Jv(E+?E!Nx6ux(|t+
zl1zhXK<R~PyxNQ6zTUT8!7-$f#<vTZ80@2rmV137>*mSHEJmUFF!HlMlpD_3U}N5E
zwzj@FOv){UHM<_6k)<W46!~~!pUsC{a{`H3tsPN(lmEebu9W6wy!QteN*D!<%LbEv
z9&*AHW>nPPBI&Uq7dQCwC!b2{DK>+xY^BB^U2l7K?0irnaM_sr9RdRZ009Dm0RaHS
z(XTUnClM;tM8CH5t%8SWJnV;;3~(&acQpMGwVCGib36r<<FiMgo@q)LHFe^+tGeR`
zt-?ry=@HyV4fbxlleKx)Lg-TH2sY%w2m&7WpvX^~#c$eY6+bhb9JT*S8>hcJm|c$6
z->ddBQ>p;L7GRMXKw#QCX-9_GK=BJ^HOvh6ESTwLY!__F3*(gG>RvFYQEUzf5gB&Y
zi_aF0KCo8gn0AMC^VXGjHP(N|=fGhYX(g$THYB2@7oi1^9zgw>10m!8oOiYX90TCA
z;HbPd`>-b;`cL^rC_lBwaLTfHjf<zmY-wppKiQ{InBi=dJ<7{#!g0v&lxhJ2fq?+}
z3&8}Bi%70sob~QniUdIYdwi_jWNyNV&l7z!+q4oKUNcY>vEvqiO_Suo6e!u5uFLuH
z94Wx&_!u>*t}%)ekLVf@sCC(7)_(PsJ?O*cBi38%K#UvNOx0CkN~-4CebD;XpP}E{
z*|a31KM=9nY*1R26d`$+<lE|6c0k<%fq?+>DUT9qdMs`EvT#_`eyz|1f*n0*717V5
zO;#xetp3}JJL*h*n!wXC*#t~+X5|T%fVv3l6L9L~E9gcutpIPN;7In=y^4qPBNgo?
z3%(bGo(hPFQ8Ac!JN9g6%FWS&|4K6u71)Y)z#73b1rBLMRQ8n$UQ!LlCX~7B(o{hL
zfq?+fHtTZD$x$ncGq3{OH{+D<zh1Fl<{Ifa@=B{te4F(g)Ie-y-#=GmUA0o4i5LGP
zA5c+%I#70oo_``}dRkmPFYh^xH;Qu&sw1p|t2^PX37DObM}DME4bk(s0fJDR4tnqQ
zkHRkVL8s+@UaXrvWJZBEbiD6S(amDm6LPHrfq*7DomGIvLc&qX^QCfDRYoI_4&kKE
z-2!xbKLFPT^lacfBQDe(To-#ydpbTO%0G)d;~|Mk)@GioA<hF<YF#y;8l<ev2UC*t
zl>dz+32a#jLJV)nv6ZS-eE)nKE(XUjS{qr6xm1#lohqiyLyIQ3YW(<E4~P*W0u-OW
z;(-EzfdHwts?iYYy?t=Rri{Yh)XU=V>nN3}2V08jkVK9F6%YTdas1*`-ZYPxXEadM
zyZ<D|8h!taJec_1CqRXTVlS<Btd4obdK|hT>=p`G%^#4TIL^4NIu~ePgh+!ptguII
z4+>)Tijc_8annI0ZEQtlRMSu}5*hEsEpu-mZHk~cFg6AVDun|A2?GcLF)9Qo8lp($
n=JLKs?hyd`2qicBG;Op(pE@ZL8-${|T%0xQlGSaE3g$8`R#sqj
literal 0
HcmV?d00001
diff --git a/test/testrsa_withattrs.pem b/test/testrsa_withattrs.pem
new file mode 100644
index 00000000..42d0a3c5
--- /dev/null
+++ b/test/testrsa_withattrs.pem
@@ -0,0 +1,29 @@
+-----BEGIN PRIVATE KEY-----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+-----END PRIVATE KEY-----
diff --git a/test/testutil/format_output.c b/test/testutil/format_output.c
index 6ee2a1d2..4fa967dc 100644
--- a/test/testutil/format_output.c
+++ b/test/testutil/format_output.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -107,8 +107,10 @@ static void test_fail_string_common(const char *prefix, const char *file,
if (diff && i > 0)
test_printf_stderr("% 4s %s\n", "", bdiff);
}
- m1 += n1;
- m2 += n2;
+ if (m1 != NULL)
+ m1 += n1;
+ if (m2 != NULL)
+ m2 += n2;
l1 -= n1;
l2 -= n2;
cnt += width;
@@ -495,8 +497,10 @@ static void test_fail_memory_common(const char *prefix, const char *file,
if (diff && i > 0)
test_printf_stderr("% 4s %s\n", "", bdiff);
}
- m1 += n1;
- m2 += n2;
+ if (m1 != NULL)
+ m1 += n1;
+ if (m2 != NULL)
+ m2 += n2;
l1 -= n1;
l2 -= n2;
cnt += bytes;
diff --git a/test/testutil/tests.c b/test/testutil/tests.c
index a60af076..f12bcf1f 100644
--- a/test/testutil/tests.c
+++ b/test/testutil/tests.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -393,8 +393,8 @@ int test_BN_eq_word(const char *file, int line, const char *bns, const char *ws,
if (a != NULL && BN_is_word(a, w))
return 1;
- bw = BN_new();
- BN_set_word(bw, w);
+ if ((bw = BN_new()) != NULL)
+ BN_set_word(bw, w);
test_fail_bignum_message(NULL, file, line, "BIGNUM", bns, ws, "==", a, bw);
BN_free(bw);
return 0;
@@ -407,10 +407,10 @@ int test_BN_abs_eq_word(const char *file, int line, const char *bns,
if (a != NULL && BN_abs_is_word(a, w))
return 1;
- bw = BN_new();
- aa = BN_dup(a);
- BN_set_negative(aa, 0);
- BN_set_word(bw, w);
+ if ((aa = BN_dup(a)) != NULL)
+ BN_set_negative(aa, 0);
+ if ((bw = BN_new()) != NULL)
+ BN_set_word(bw, w);
test_fail_bignum_message(NULL, file, line, "BIGNUM", bns, ws, "abs==",
aa, bw);
BN_free(bw);
diff --git a/test/verify_extra_test.c b/test/verify_extra_test.c
index b9959e0c..b6bffde9 100644
--- a/test/verify_extra_test.c
+++ b/test/verify_extra_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2015-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -11,14 +11,19 @@
#include <openssl/crypto.h>
#include <openssl/bio.h>
#include <openssl/x509.h>
+#include <openssl/x509v3.h>
#include <openssl/pem.h>
#include <openssl/err.h>
#include "testutil.h"
-static const char *roots_f;
-static const char *untrusted_f;
-static const char *bad_f;
-static const char *good_f;
+static const char *certs_dir;
+static char *roots_f = NULL;
+static char *untrusted_f = NULL;
+static char *bad_f = NULL;
+static char *good_f = NULL;
+static char *sroot_cert = NULL;
+static char *ca_cert = NULL;
+static char *ee_cert = NULL;
static X509 *load_cert_pem(const char *file)
{
@@ -231,19 +236,110 @@ static int test_self_signed_bad(void)
return test_self_signed(bad_f, 0);
}
+static int do_test_purpose(int purpose, int expected)
+{
+ X509 *eecert = load_cert_pem(ee_cert); /* may result in NULL */
+ X509 *untrcert = load_cert_pem(ca_cert);
+ X509 *trcert = load_cert_pem(sroot_cert);
+ STACK_OF(X509) *trusted = sk_X509_new_null();
+ STACK_OF(X509) *untrusted = sk_X509_new_null();
+ X509_STORE_CTX *ctx = X509_STORE_CTX_new();
+ int testresult = 0;
+
+ if (!TEST_ptr(eecert)
+ || !TEST_ptr(untrcert)
+ || !TEST_ptr(trcert)
+ || !TEST_ptr(trusted)
+ || !TEST_ptr(untrusted)
+ || !TEST_ptr(ctx))
+ goto err;
+
+
+ if (!TEST_true(sk_X509_push(trusted, trcert)))
+ goto err;
+ trcert = NULL;
+ if (!TEST_true(sk_X509_push(untrusted, untrcert)))
+ goto err;
+ untrcert = NULL;
+
+ if (!TEST_true(X509_STORE_CTX_init(ctx, NULL, eecert, untrusted)))
+ goto err;
+
+ if (!TEST_true(X509_STORE_CTX_set_purpose(ctx, purpose)))
+ goto err;
+
+ /*
+ * X509_STORE_CTX_set0_trusted_stack() is bady named. Despite the set0 name
+ * we are still responsible for freeing trusted after we have finished with
+ * it.
+ */
+ X509_STORE_CTX_set0_trusted_stack(ctx, trusted);
+
+ if (!TEST_int_eq(X509_verify_cert(ctx), expected))
+ goto err;
+
+ testresult = 1;
+ err:
+ sk_X509_pop_free(trusted, X509_free);
+ sk_X509_pop_free(untrusted, X509_free);
+ X509_STORE_CTX_free(ctx);
+ X509_free(eecert);
+ X509_free(untrcert);
+ X509_free(trcert);
+ return testresult;
+}
+
+static int test_purpose_ssl_client(void)
+{
+ return do_test_purpose(X509_PURPOSE_SSL_CLIENT, 0);
+}
+
+static int test_purpose_ssl_server(void)
+{
+ return do_test_purpose(X509_PURPOSE_SSL_SERVER, 1);
+}
+
+static int test_purpose_any(void)
+{
+ return do_test_purpose(X509_PURPOSE_ANY, 1);
+}
+
int setup_tests(void)
{
- if (!TEST_ptr(roots_f = test_get_argument(0))
- || !TEST_ptr(untrusted_f = test_get_argument(1))
- || !TEST_ptr(bad_f = test_get_argument(2))
- || !TEST_ptr(good_f = test_get_argument(3))) {
- TEST_error("usage: verify_extra_test roots.pem untrusted.pem bad.pem good.pem\n");
+ if (!TEST_ptr(certs_dir = test_get_argument(0))) {
+ TEST_error("usage: verify_extra_test certs-dir\n");
return 0;
}
+ if (!TEST_ptr(roots_f = test_mk_file_path(certs_dir, "roots.pem"))
+ || !TEST_ptr(untrusted_f = test_mk_file_path(certs_dir, "untrusted.pem"))
+ || !TEST_ptr(bad_f = test_mk_file_path(certs_dir, "bad.pem"))
+ || !TEST_ptr(good_f = test_mk_file_path(certs_dir, "rootCA.pem"))
+ || !TEST_ptr(sroot_cert = test_mk_file_path(certs_dir, "sroot-cert.pem"))
+ || !TEST_ptr(ca_cert = test_mk_file_path(certs_dir, "ca-cert.pem"))
+ || !TEST_ptr(ee_cert = test_mk_file_path(certs_dir, "ee-cert.pem")))
+ goto err;
+
ADD_TEST(test_alt_chains_cert_forgery);
ADD_TEST(test_store_ctx);
ADD_TEST(test_self_signed_good);
ADD_TEST(test_self_signed_bad);
+ ADD_TEST(test_purpose_ssl_client);
+ ADD_TEST(test_purpose_ssl_server);
+ ADD_TEST(test_purpose_any);
return 1;
+ err:
+ cleanup_tests();
+ return 0;
+}
+
+void cleanup_tests(void)
+{
+ OPENSSL_free(roots_f);
+ OPENSSL_free(untrusted_f);
+ OPENSSL_free(bad_f);
+ OPENSSL_free(good_f);
+ OPENSSL_free(sroot_cert);
+ OPENSSL_free(ca_cert);
+ OPENSSL_free(ee_cert);
}
diff --git a/test/x509_time_test.c b/test/x509_time_test.c
index b6fd38a5..93a5b075 100644
--- a/test/x509_time_test.c
+++ b/test/x509_time_test.c
@@ -1,5 +1,5 @@
/*
- * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -330,10 +330,12 @@ static int test_x509_time(int idx)
/* if t is not NULL but expected_string is NULL, it is an 'OK' case too */
if (t != NULL && x509_format_tests[idx].expected_string) {
- if (!TEST_str_eq((const char *)t->data,
- x509_format_tests[idx].expected_string)) {
- TEST_info("test_x509_time(%d) failed: expected_string %s, got %s\n",
- idx, x509_format_tests[idx].expected_string, t->data);
+ if (!TEST_mem_eq((const char *)t->data, t->length,
+ x509_format_tests[idx].expected_string,
+ strlen(x509_format_tests[idx].expected_string))) {
+ TEST_info("test_x509_time(%d) failed: expected_string %s, got %.*s\n",
+ idx, x509_format_tests[idx].expected_string, t->length,
+ t->data);
goto out;
}
}
diff --git a/util/mkdir-p.pl b/util/mkdir-p.pl
index 32806024..b02db98f 100755
--- a/util/mkdir-p.pl
+++ b/util/mkdir-p.pl
@@ -1,5 +1,5 @@
#! /usr/bin/env perl
-# Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
+# Copyright 1999-2021 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
@@ -34,11 +34,12 @@ sub do_mkdir_p {
}
unless (mkdir($dir, 0777)) {
+ local($err) = $!;
if (-d $dir) {
# We raced against another instance doing the same thing.
return;
}
- die "Cannot create directory $dir: $!\n";
+ die "Cannot create directory $dir: $err\n";
}
print "created directory `$dir'\n";
}
--
GitLab
From b33a33fc3176e58ef3191c5a4dc3e2f4b2db45e3 Mon Sep 17 00:00:00 2001
From: Sebastian Andrzej Siewior <sebastian@breakpoint.cc>
Date: Mon, 14 Mar 2022 21:10:26 +0100
Subject: [PATCH 4/6] Import Debian changes 1.1.1d-0+deb10u8
---
debian/changelog | 10 ++
...-a-negative-testcase-for-BN_mod_sqrt.patch | 52 +++++++
.../Add-documentation-of-BN_mod_sqrt.patch | 55 +++++++
...bug-in-bn_sqr_comba4-8-for-mips-32-b.patch | 135 ++++++++++++++++++
...ossible-infinite-loop-in-BN_mod_sqrt.patch | 62 ++++++++
...asm-fix-armv8-pointer-authentication.patch | 34 +++++
debian/patches/series | 5 +
7 files changed, 353 insertions(+)
create mode 100644 debian/patches/Add-a-negative-testcase-for-BN_mod_sqrt.patch
create mode 100644 debian/patches/Add-documentation-of-BN_mod_sqrt.patch
create mode 100644 debian/patches/Fix-a-carry-overflow-bug-in-bn_sqr_comba4-8-for-mips-32-b.patch
create mode 100644 debian/patches/Fix-possible-infinite-loop-in-BN_mod_sqrt.patch
create mode 100644 debian/patches/crypto-poly1305-asm-fix-armv8-pointer-authentication.patch
diff --git a/debian/changelog b/debian/changelog
index c45034fc..820de1be 100644
--- a/debian/changelog
+++ b/debian/changelog
@@ -1,3 +1,13 @@
+openssl (1.1.1d-0+deb10u8) buster-security; urgency=medium
+
+ * Fix armv8 pointer authentication (Closes: #989604).
+ * CVE-2022-0778 (Infinite loop in BN_mod_sqrt() reachable when parsing
+ certificates).
+ * CVE-2021-4160 (Carry propagation bug in the MIPS32 and MIPS64 squaring
+ procedure.)
+
+ -- Sebastian Andrzej Siewior <sebastian@breakpoint.cc> Mon, 14 Mar 2022 21:10:26 +0100
+
openssl (1.1.1d-0+deb10u7) buster-security; urgency=medium
* CVE-2021-3711 (SM2 Decryption Buffer Overflow).
diff --git a/debian/patches/Add-a-negative-testcase-for-BN_mod_sqrt.patch b/debian/patches/Add-a-negative-testcase-for-BN_mod_sqrt.patch
new file mode 100644
index 00000000..9eab4600
--- /dev/null
+++ b/debian/patches/Add-a-negative-testcase-for-BN_mod_sqrt.patch
@@ -0,0 +1,52 @@
+From: Tomas Mraz <tomas@openssl.org>
+Date: Mon, 28 Feb 2022 18:26:35 +0100
+Subject: Add a negative testcase for BN_mod_sqrt
+
+---
+ test/bntest.c | 11 ++++++++++-
+ test/recipes/10-test_bn_data/bnmod.txt | 12 ++++++++++++
+ 2 files changed, 22 insertions(+), 1 deletion(-)
+
+diff --git a/test/bntest.c b/test/bntest.c
+index 0bd9a06f728a..abe4bcf171b9 100644
+--- a/test/bntest.c
++++ b/test/bntest.c
+@@ -1614,8 +1614,17 @@ static int file_modsqrt(STANZA *s)
+ || !TEST_ptr(ret2 = BN_new()))
+ goto err;
+
++ if (BN_is_negative(mod_sqrt)) {
++ /* A negative testcase */
++ if (!TEST_ptr_null(BN_mod_sqrt(ret, a, p, ctx)))
++ goto err;
++
++ st = 1;
++ goto err;
++ }
++
+ /* There are two possible answers. */
+- if (!TEST_true(BN_mod_sqrt(ret, a, p, ctx))
++ if (!TEST_ptr(BN_mod_sqrt(ret, a, p, ctx))
+ || !TEST_true(BN_sub(ret2, p, ret)))
+ goto err;
+
+diff --git a/test/recipes/10-test_bn_data/bnmod.txt b/test/recipes/10-test_bn_data/bnmod.txt
+index 5ea4d031f271..e28cc6bfb02e 100644
+--- a/test/recipes/10-test_bn_data/bnmod.txt
++++ b/test/recipes/10-test_bn_data/bnmod.txt
+@@ -2799,3 +2799,15 @@ P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
+ ModSqrt = a1d52989f12f204d3d2167d9b1e6c8a6174c0c786a979a5952383b7b8bd186
+ A = 2eee37cf06228a387788188e650bc6d8a2ff402931443f69156a29155eca07dcb45f3aac238d92943c0c25c896098716baa433f25bd696a142f5a69d5d937e81
+ P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
++
++# Negative testcases for BN_mod_sqrt()
++
++# This one triggers an infinite loop with unfixed implementation
++# It should just fail.
++ModSqrt = -1
++A = 20a7ee
++P = 460201
++
++ModSqrt = -1
++A = 65bebdb00a96fc814ec44b81f98b59fba3c30203928fa5214c51e0a97091645280c947b005847f239758482b9bfc45b066fde340d1fe32fc9c1bf02e1b2d0ed
++P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
diff --git a/debian/patches/Add-documentation-of-BN_mod_sqrt.patch b/debian/patches/Add-documentation-of-BN_mod_sqrt.patch
new file mode 100644
index 00000000..71718f59
--- /dev/null
+++ b/debian/patches/Add-documentation-of-BN_mod_sqrt.patch
@@ -0,0 +1,55 @@
+From: Tomas Mraz <tomas@openssl.org>
+Date: Mon, 28 Feb 2022 18:26:30 +0100
+Subject: Add documentation of BN_mod_sqrt()
+
+---
+ doc/man3/BN_add.pod | 15 +++++++++++++--
+ 1 file changed, 13 insertions(+), 2 deletions(-)
+
+diff --git a/doc/man3/BN_add.pod b/doc/man3/BN_add.pod
+index 0f0e49556d72..c186b060e7c5 100644
+--- a/doc/man3/BN_add.pod
++++ b/doc/man3/BN_add.pod
+@@ -3,7 +3,7 @@
+ =head1 NAME
+
+ BN_add, BN_sub, BN_mul, BN_sqr, BN_div, BN_mod, BN_nnmod, BN_mod_add,
+-BN_mod_sub, BN_mod_mul, BN_mod_sqr, BN_exp, BN_mod_exp, BN_gcd -
++BN_mod_sub, BN_mod_mul, BN_mod_sqr, BN_mod_sqrt, BN_exp, BN_mod_exp, BN_gcd -
+ arithmetic operations on BIGNUMs
+
+ =head1 SYNOPSIS
+@@ -36,6 +36,8 @@ arithmetic operations on BIGNUMs
+
+ int BN_mod_sqr(BIGNUM *r, BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
+
++ BIGNUM *BN_mod_sqrt(BIGNUM *in, BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
++
+ int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx);
+
+ int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
+@@ -87,6 +89,12 @@ L<BN_mod_mul_reciprocal(3)>.
+ BN_mod_sqr() takes the square of I<a> modulo B<m> and places the
+ result in I<r>.
+
++BN_mod_sqrt() returns the modular square root of I<a> such that
++C<in^2 = a (mod p)>. The modulus I<p> must be a
++prime, otherwise an error or an incorrect "result" will be returned.
++The result is stored into I<in> which can be NULL. The result will be
++newly allocated in that case.
++
+ BN_exp() raises I<a> to the I<p>-th power and places the result in I<r>
+ (C<r=a^p>). This function is faster than repeated applications of
+ BN_mul().
+@@ -108,7 +116,10 @@ the arguments.
+
+ =head1 RETURN VALUES
+
+-For all functions, 1 is returned for success, 0 on error. The return
++The BN_mod_sqrt() returns the result (possibly incorrect if I<p> is
++not a prime), or NULL.
++
++For all remaining functions, 1 is returned for success, 0 on error. The return
+ value should always be checked (e.g., C<if (!BN_add(r,a,b)) goto err;>).
+ The error codes can be obtained by L<ERR_get_error(3)>.
+
diff --git a/debian/patches/Fix-a-carry-overflow-bug-in-bn_sqr_comba4-8-for-mips-32-b.patch b/debian/patches/Fix-a-carry-overflow-bug-in-bn_sqr_comba4-8-for-mips-32-b.patch
new file mode 100644
index 00000000..7e3805ea
--- /dev/null
+++ b/debian/patches/Fix-a-carry-overflow-bug-in-bn_sqr_comba4-8-for-mips-32-b.patch
@@ -0,0 +1,135 @@
+From: Bernd Edlinger <bernd.edlinger@hotmail.de>
+Date: Sat, 11 Dec 2021 20:28:11 +0100
+Subject: Fix a carry overflow bug in bn_sqr_comba4/8 for mips 32-bit targets
+
+bn_sqr_comba8 does for instance compute a wrong result for the value:
+a=0x4aaac919 62056c84 fba7334e 1a6be678 022181ba fd3aa878 899b2346 ee210f45
+
+The correct result is:
+r=0x15c72e32 605a3061 d11b1012 3c187483 6df96999 bd0c22ba d3e7d437 4724a82f
+ 912c5e61 6a187efe 8f7c47fc f6945fe5 75be8e3d 97ed17d4 7950b465 3cb32899
+
+but the actual result was:
+r=0x15c72e32 605a3061 d11b1012 3c187483 6df96999 bd0c22ba d3e7d437 4724a82f
+ 912c5e61 6a187efe 8f7c47fc f6945fe5 75be8e3c 97ed17d4 7950b465 3cb32899
+
+so the forth word of the result was 0x75be8e3c but should have been
+0x75be8e3d instead.
+
+Likewise bn_sqr_comba4 has an identical bug for the same value as well:
+a=0x022181ba fd3aa878 899b2346 ee210f45
+
+correct result:
+r=0x00048a69 9fe82f8b 62bd2ed1 88781335 75be8e3d 97ed17d4 7950b465 3cb32899
+
+wrong result:
+r=0x00048a69 9fe82f8b 62bd2ed1 88781335 75be8e3c 97ed17d4 7950b465 3cb32899
+
+Fortunately the bn_mul_comba4/8 code paths are not affected.
+
+Also the mips64 target does in fact not handle the carry propagation
+correctly.
+
+Example:
+a=0x4aaac91900000000 62056c8400000000 fba7334e00000000 1a6be67800000000
+ 022181ba00000000 fd3aa87800000000 899b234635dad283 ee210f4500000001
+
+correct result:
+r=0x15c72e32272c4471 392debf018c679c8 b85496496bf8254c d0204f36611e2be1
+ 0cdb3db8f3c081d8 c94ba0e1bacc5061 191b83d47ff929f6 5be0aebfc13ae68d
+ 3eea7a7fdf2f5758 42f7ec656cab3cb5 6a28095be34756f2 64f24687bf37de06
+ 2822309cd1d292f9 6fa698c972372f09 771e97d3a868cda0 dc421e8a00000001
+
+wrong result:
+r=0x15c72e32272c4471 392debf018c679c8 b85496496bf8254c d0204f36611e2be1
+ 0cdb3db8f3c081d8 c94ba0e1bacc5061 191b83d47ff929f6 5be0aebfc13ae68d
+ 3eea7a7fdf2f5758 42f7ec656cab3cb5 6a28095be34756f2 64f24687bf37de06
+ 2822309cd1d292f8 6fa698c972372f09 771e97d3a868cda0 dc421e8a00000001
+
+Reviewed-by: Paul Dale <pauli@openssl.org>
+(Merged from https://github.com/openssl/openssl/pull/17258)
+
+(cherry picked from commit 336923c0c8d705cb8af5216b29a205662db0d590)
+---
+ crypto/bn/asm/mips.pl | 4 ++++
+ test/bntest.c | 45 +++++++++++++++++++++++++++++++++++++++++++++
+ 2 files changed, 49 insertions(+)
+
+diff --git a/crypto/bn/asm/mips.pl b/crypto/bn/asm/mips.pl
+index a205189eb684..4c625fc93f42 100644
+--- a/crypto/bn/asm/mips.pl
++++ b/crypto/bn/asm/mips.pl
+@@ -1984,6 +1984,8 @@ $code.=<<___;
+ sltu $at,$c_2,$t_1
+ $ADDU $c_3,$t_2,$at
+ $ST $c_2,$BNSZ($a0)
++ sltu $at,$c_3,$t_2
++ $ADDU $c_1,$at
+ mflo ($t_1,$a_2,$a_0)
+ mfhi ($t_2,$a_2,$a_0)
+ ___
+@@ -2194,6 +2196,8 @@ $code.=<<___;
+ sltu $at,$c_2,$t_1
+ $ADDU $c_3,$t_2,$at
+ $ST $c_2,$BNSZ($a0)
++ sltu $at,$c_3,$t_2
++ $ADDU $c_1,$at
+ mflo ($t_1,$a_2,$a_0)
+ mfhi ($t_2,$a_2,$a_0)
+ ___
+diff --git a/test/bntest.c b/test/bntest.c
+index abe4bcf171b9..1e2aeb28a8ea 100644
+--- a/test/bntest.c
++++ b/test/bntest.c
+@@ -557,6 +557,51 @@ static int test_modexp_mont5(void)
+ if (!TEST_BN_eq(c, d))
+ goto err;
+
++ /*
++ * Regression test for overflow bug in bn_sqr_comba4/8 for
++ * mips-linux-gnu and mipsel-linux-gnu 32bit targets.
++ */
++ {
++ static const char *ehex[] = {
++ "95564994a96c45954227b845a1e99cb939d5a1da99ee91acc962396ae999a9ee",
++ "38603790448f2f7694c242a875f0cad0aae658eba085f312d2febbbd128dd2b5",
++ "8f7d1149f03724215d704344d0d62c587ae3c5939cba4b9b5f3dc5e8e911ef9a",
++ "5ce1a5a749a4989d0d8368f6e1f8cdf3a362a6c97fb02047ff152b480a4ad985",
++ "2d45efdf0770542992afca6a0590d52930434bba96017afbc9f99e112950a8b1",
++ "a359473ec376f329bdae6a19f503be6d4be7393c4e43468831234e27e3838680",
++ "b949390d2e416a3f9759e5349ab4c253f6f29f819a6fe4cbfd27ada34903300e",
++ "da021f62839f5878a36f1bc3085375b00fd5fa3e68d316c0fdace87a97558465",
++ NULL};
++ static const char *phex[] = {
++ "f95dc0f980fbd22e90caa5a387cc4a369f3f830d50dd321c40db8c09a7e1a241",
++ "a536e096622d3280c0c1ba849c1f4a79bf490f60006d081e8cf69960189f0d31",
++ "2cd9e17073a3fba7881b21474a13b334116cb2f5dbf3189a6de3515d0840f053",
++ "c776d3982d391b6d04d642dda5cc6d1640174c09875addb70595658f89efb439",
++ "dc6fbd55f903aadd307982d3f659207f265e1ec6271b274521b7a5e28e8fd7a5",
++ "5df089292820477802a43cf5b6b94e999e8c9944ddebb0d0e95a60f88cb7e813",
++ "ba110d20e1024774107dd02949031864923b3cb8c3f7250d6d1287b0a40db6a4",
++ "7bd5a469518eb65aa207ddc47d8c6e5fc8e0c105be8fc1d4b57b2e27540471d5",
++ NULL};
++ static const char *mhex[] = {
++ "fef15d5ce4625f1bccfbba49fc8439c72bf8202af039a2259678941b60bb4a8f",
++ "2987e965d58fd8cf86a856674d519763d0e1211cc9f8596971050d56d9b35db3",
++ "785866cfbca17cfdbed6060be3629d894f924a89fdc1efc624f80d41a22f1900",
++ "9503fcc3824ef62ccb9208430c26f2d8ceb2c63488ec4c07437aa4c96c43dd8b",
++ "9289ed00a712ff66ee195dc71f5e4ead02172b63c543d69baf495f5fd63ba7bc",
++ "c633bd309c016e37736da92129d0b053d4ab28d21ad7d8b6fab2a8bbdc8ee647",
++ "d2fbcf2cf426cf892e6f5639e0252993965dfb73ccd277407014ea784aaa280c",
++ "b7b03972bc8b0baa72360bdb44b82415b86b2f260f877791cd33ba8f2d65229b",
++ NULL};
++
++ if (!TEST_true(parse_bigBN(&e, ehex))
++ || !TEST_true(parse_bigBN(&p, phex))
++ || !TEST_true(parse_bigBN(&m, mhex))
++ || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
++ || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
++ || !TEST_BN_eq(a, d))
++ goto err;
++ }
++
+ /* Zero input */
+ if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0)))
+ goto err;
diff --git a/debian/patches/Fix-possible-infinite-loop-in-BN_mod_sqrt.patch b/debian/patches/Fix-possible-infinite-loop-in-BN_mod_sqrt.patch
new file mode 100644
index 00000000..92fbe0d1
--- /dev/null
+++ b/debian/patches/Fix-possible-infinite-loop-in-BN_mod_sqrt.patch
@@ -0,0 +1,62 @@
+From: Tomas Mraz <tomas@openssl.org>
+Date: Mon, 28 Feb 2022 18:26:21 +0100
+Subject: Fix possible infinite loop in BN_mod_sqrt()
+
+The calculation in some cases does not finish for non-prime p.
+
+This fixes CVE-2022-0778.
+
+Based on patch by David Benjamin <davidben@google.com>.
+---
+ crypto/bn/bn_sqrt.c | 30 ++++++++++++++++++------------
+ 1 file changed, 18 insertions(+), 12 deletions(-)
+
+diff --git a/crypto/bn/bn_sqrt.c b/crypto/bn/bn_sqrt.c
+index c3e66b033bde..5d49e00757cd 100644
+--- a/crypto/bn/bn_sqrt.c
++++ b/crypto/bn/bn_sqrt.c
+@@ -14,7 +14,8 @@ BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ /*
+ * Returns 'ret' such that ret^2 == a (mod p), using the Tonelli/Shanks
+ * algorithm (cf. Henri Cohen, "A Course in Algebraic Computational Number
+- * Theory", algorithm 1.5.1). 'p' must be prime!
++ * Theory", algorithm 1.5.1). 'p' must be prime, otherwise an error or
++ * an incorrect "result" will be returned.
+ */
+ {
+ BIGNUM *ret = in;
+@@ -301,18 +302,23 @@ BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ goto vrfy;
+ }
+
+- /* find smallest i such that b^(2^i) = 1 */
+- i = 1;
+- if (!BN_mod_sqr(t, b, p, ctx))
+- goto end;
+- while (!BN_is_one(t)) {
+- i++;
+- if (i == e) {
+- BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
+- goto end;
++ /* Find the smallest i, 0 < i < e, such that b^(2^i) = 1. */
++ for (i = 1; i < e; i++) {
++ if (i == 1) {
++ if (!BN_mod_sqr(t, b, p, ctx))
++ goto end;
++
++ } else {
++ if (!BN_mod_mul(t, t, t, p, ctx))
++ goto end;
+ }
+- if (!BN_mod_mul(t, t, t, p, ctx))
+- goto end;
++ if (BN_is_one(t))
++ break;
++ }
++ /* If not found, a is not a square or p is not prime. */
++ if (i >= e) {
++ BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
++ goto end;
+ }
+
+ /* t := y^2^(e - i - 1) */
diff --git a/debian/patches/crypto-poly1305-asm-fix-armv8-pointer-authentication.patch b/debian/patches/crypto-poly1305-asm-fix-armv8-pointer-authentication.patch
new file mode 100644
index 00000000..417da240
--- /dev/null
+++ b/debian/patches/crypto-poly1305-asm-fix-armv8-pointer-authentication.patch
@@ -0,0 +1,34 @@
+From: Ard Biesheuvel <ard.biesheuvel@arm.com>
+Date: Tue, 27 Oct 2020 18:02:40 +0100
+Subject: crypto/poly1305/asm: fix armv8 pointer authentication
+
+PAC pointer authentication signs the return address against the value
+of the stack pointer, to prevent stack overrun exploits from corrupting
+the control flow. However, this requires that the AUTIASP is issued with
+SP holding the same value as it held when the PAC value was generated.
+The Poly1305 armv8 code got this wrong, resulting in crashes on PAC
+capable hardware.
+
+Reviewed-by: Paul Dale <paul.dale@oracle.com>
+Reviewed-by: Tomas Mraz <tmraz@fedoraproject.org>
+(Merged from https://github.com/openssl/openssl/pull/13256)
+
+(cherry picked from commit fcf6e9d056162d5af64c6f7209388a5c3be2ce57)
+---
+ crypto/poly1305/asm/poly1305-armv8.pl | 2 +-
+ 1 file changed, 1 insertion(+), 1 deletion(-)
+
+diff --git a/crypto/poly1305/asm/poly1305-armv8.pl b/crypto/poly1305/asm/poly1305-armv8.pl
+index 6c6c9bb05be0..4d0df00c0085 100755
+--- a/crypto/poly1305/asm/poly1305-armv8.pl
++++ b/crypto/poly1305/asm/poly1305-armv8.pl
+@@ -860,8 +860,8 @@ $code.=<<___;
+ st1 {$ACC4}[0],[$ctx]
+
+ .Lno_data_neon:
+- .inst 0xd50323bf // autiasp
+ ldr x29,[sp],#80
++ .inst 0xd50323bf // autiasp
+ ret
+ .size poly1305_blocks_neon,.-poly1305_blocks_neon
+
diff --git a/debian/patches/series b/debian/patches/series
index c7f76972..2b8a9646 100644
--- a/debian/patches/series
+++ b/debian/patches/series
@@ -38,3 +38,8 @@ Fix-the-error-handling-in-i2v_AUTHORITY_KEYID.patch
fixup-Allow-fuzz-builds-to-detect-string-overruns.patch
fixup-Fix-the-name-constraints-code-to-not-assume-NUL-ter.patch
fixup-Fix-i2v_GENERAL_NAME-to-not-assume-NUL-terminated-s.patch
+crypto-poly1305-asm-fix-armv8-pointer-authentication.patch
+Fix-possible-infinite-loop-in-BN_mod_sqrt.patch
+Add-documentation-of-BN_mod_sqrt.patch
+Add-a-negative-testcase-for-BN_mod_sqrt.patch
+Fix-a-carry-overflow-bug-in-bn_sqr_comba4-8-for-mips-32-b.patch
--
GitLab
From 00d376233ac4c13a62108fceeb86e2651620690d Mon Sep 17 00:00:00 2001
From: Apertis CI robot <devel@lists.apertis.org>
Date: Mon, 28 Mar 2022 14:55:30 +0000
Subject: [PATCH 5/6] Release openssl version 1.1.1n-0+deb10u1+apertis0
---
debian/changelog | 6 ++++++
1 file changed, 6 insertions(+)
diff --git a/debian/changelog b/debian/changelog
index 88ee7ca4..18068d7d 100644
--- a/debian/changelog
+++ b/debian/changelog
@@ -1,3 +1,9 @@
+openssl (1.1.1n-0+deb10u1+apertis0) apertis; urgency=medium
+
+ * Sync from debian/buster.
+
+ -- Apertis CI <devel@lists.apertis.org> Mon, 28 Mar 2022 14:55:30 +0000
+
openssl (1.1.1n-0+deb10u1) buster; urgency=medium
* New upstream version.
--
GitLab
From 71efb597a01d0032b975b104baf194875b023ec1 Mon Sep 17 00:00:00 2001
From: Apertis CI robot <noreply+not_a_robot@apertis.org>
Date: Mon, 28 Mar 2022 15:03:07 +0000
Subject: [PATCH 6/6] Refresh the automatically detected licensing information
Signed-off-by: Apertis CI robot <noreply+not_a_robot@apertis.org>
---
debian/apertis/copyright | 252 +++++++++++++++++++++------------------
1 file changed, 138 insertions(+), 114 deletions(-)
diff --git a/debian/apertis/copyright b/debian/apertis/copyright
index 69d568be..592444b6 100644
--- a/debian/apertis/copyright
+++ b/debian/apertis/copyright
@@ -35,14 +35,14 @@ Copyright: no-info-found
License: OpenSSL
Files: Configurations/shared-info.pl
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: Configure
config
config.com
e_os.h
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: README
@@ -55,11 +55,11 @@ License: OpenSSL
Files: VMS/VMSify-conf.pl
VMS/translatesyms.pl
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: apps/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: apps/build.info
@@ -128,13 +128,17 @@ Files: apps/tsget.in
Copyright: no-info-found
License: OpenSSL
+Files: apps/vms_decc_argv.c
+Copyright: 1995-2022, The OpenSSL Project Authors.
+License: Apache-2.0
+
Files: apps/vms_term_sock.c
apps/vms_term_sock.h
Copyright: no-info-found
License: OpenSSL
Files: crypto/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/LPdir_nyi.c
@@ -148,7 +152,7 @@ License: BSD-2-clause
Files: crypto/aes/aes_core.c
crypto/aes/aes_x86core.c
-Copyright: 2002-2019, The OpenSSL Project Authors.
+Copyright: 2002-2020, The OpenSSL Project Authors.
License: BSD~unspecified
Files: crypto/aes/build.info
@@ -188,7 +192,7 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/bn/asm/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/bn/asm/rsaz-avx2.pl
@@ -210,8 +214,8 @@ Files: crypto/bn/bn_add.c
crypto/bn/bn_gcd.c
crypto/bn/bn_intern.c
crypto/bn/bn_kron.c
- crypto/bn/bn_lcl.h
crypto/bn/bn_lib.c
+ crypto/bn/bn_local.h
crypto/bn/bn_mod.c
crypto/bn/bn_mont.c
crypto/bn/bn_mpi.c
@@ -229,7 +233,7 @@ Files: crypto/bn/bn_add.c
crypto/bn/bn_srp.c
crypto/bn/bn_word.c
crypto/bn/bn_x931p.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/bn/bn_gf2m.c
@@ -250,11 +254,11 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/camellia/asm/*
-Copyright: 2008-2016, The OpenSSL Project Authors.
+Copyright: 2008-2020, The OpenSSL Project Authors.
License: OpenSSL OR GPL-2+ OR LGPL-2.1+ OR MPL-1.1 OR BSD-2-Clause
Files: crypto/camellia/asm/cmllt4-sparcv9.pl
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/camellia/build.info
@@ -314,10 +318,6 @@ Files: crypto/dso/build.info
Copyright: no-info-found
License: OpenSSL
-Files: crypto/ec/asm/ecp_nistz256-avx2.pl
-Copyright: no-info-found
-License: OpenSSL
-
Files: crypto/ec/asm/ecp_nistz256-x86_64.pl
Copyright: no-info-found
License: OpenSSL
@@ -330,8 +330,8 @@ Files: crypto/ec/curve448/*
Copyright: no-info-found
License: OpenSSL
-Files: crypto/ec/curve448/curve448_lcl.h
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Files: crypto/ec/curve448/curve448_local.h
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/ec/ec2_oct.c
@@ -346,8 +346,8 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/ec/ec_cvt.c
- crypto/ec/ec_lcl.h
crypto/ec/ec_lib.c
+ crypto/ec/ec_local.h
crypto/ec/ec_mult.c
crypto/ec/ecp_mont.c
crypto/ec/ecp_nist.c
@@ -359,7 +359,7 @@ Files: crypto/ec/ecp_nistp224.c
crypto/ec/ecp_nistp256.c
crypto/ec/ecp_nistp521.c
crypto/ec/ecp_nistputil.c
-Copyright: 2010-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
Files: crypto/ec/ecp_nistz256.c
@@ -390,12 +390,12 @@ Files: crypto/engine/eng_all.c
crypto/engine/tb_pkmeth.c
crypto/engine/tb_rand.c
crypto/engine/tb_rsa.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/engine/eng_fat.c
- crypto/engine/eng_int.h
crypto/engine/eng_list.c
+ crypto/engine/eng_local.h
crypto/engine/eng_openssl.c
Copyright: no-info-found
License: OpenSSL
@@ -408,7 +408,7 @@ Files: crypto/err/err.c
crypto/err/err_all.c
crypto/err/err_prn.c
crypto/err/openssl.txt
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/evp/build.info
@@ -431,23 +431,6 @@ Files: crypto/idea/build.info
Copyright: no-info-found
License: OpenSSL
-Files: crypto/include/internal/aria.h
-Copyright: no-info-found
-License: OpenSSL
-
-Files: crypto/include/internal/sha.h
-Copyright: no-info-found
-License: OpenSSL
-
-Files: crypto/include/internal/sm2.h
-Copyright: no-info-found
-License: OpenSSL
-
-Files: crypto/include/internal/sm3.h
- crypto/include/internal/sm4.h
-Copyright: no-info-found
-License: OpenSSL
-
Files: crypto/kdf/build.info
Copyright: no-info-found
License: OpenSSL
@@ -489,13 +472,13 @@ Files: crypto/objects/o_names.c
crypto/objects/obj_dat.h
crypto/objects/obj_dat.pl
crypto/objects/obj_err.c
- crypto/objects/obj_lcl.h
crypto/objects/obj_lib.c
+ crypto/objects/obj_local.h
crypto/objects/obj_xref.c
crypto/objects/obj_xref.h
crypto/objects/objects.pl
crypto/objects/objxref.pl
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/ocsp/build.info
@@ -519,7 +502,7 @@ Files: crypto/perlasm/arm-xlate.pl
crypto/perlasm/x86gas.pl
crypto/perlasm/x86masm.pl
crypto/perlasm/x86nasm.pl
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/pkcs12/build.info
@@ -567,8 +550,8 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/seed/seed.c
- crypto/seed/seed_locl.h
-Copyright: 2004-2018, The OpenSSL Project Authors.
+ crypto/seed/seed_local.h
+Copyright: 2004-2021, The OpenSSL Project Authors.
License: BSD-3-clause
Files: crypto/sha/build.info
@@ -584,10 +567,7 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/sm2/sm2_crypt.c
-Copyright: no-info-found
-License: OpenSSL
-
-Files: crypto/sm2/sm2_sign.c
+ crypto/sm2/sm2_sign.c
Copyright: no-info-found
License: OpenSSL
@@ -620,7 +600,7 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/stack/stack.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/store/build.info
@@ -636,7 +616,7 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/txt_db/txt_db.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/ui/build.info
@@ -644,19 +624,19 @@ Copyright: no-info-found
License: OpenSSL
Files: crypto/whrlpool/*
-Copyright: 2002-2019, The OpenSSL Project Authors.
+Copyright: 2002-2020, The OpenSSL Project Authors.
License: BSD~unspecified
Files: crypto/whrlpool/asm/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/whrlpool/build.info
Copyright: no-info-found
License: OpenSSL
-Files: crypto/whrlpool/wp_locl.h
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Files: crypto/whrlpool/wp_local.h
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: crypto/x509/build.info
@@ -669,7 +649,7 @@ License: OpenSSL
Files: crypto/x509v3/v3_pci.c
crypto/x509v3/v3_pcia.c
-Copyright: 2004-2018, The OpenSSL Project Authors.
+Copyright: 2004-2021, The OpenSSL Project Authors.
License: BSD-3-clause
Files: debian/*
@@ -681,11 +661,11 @@ Copyright: Designs and Patents Act 1988.) / 1994-1995, Ian Jackson.
License: OpenSSL
Files: debian/tests/25-test_verify.t
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: debian/tests/OpenSSL/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: demos/*
@@ -699,11 +679,11 @@ Files: demos/bio/client-arg.c
demos/bio/server-arg.c
demos/bio/server-cmod.c
demos/bio/server-conf.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: demos/cms/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: demos/cms/cacert.pem
@@ -717,7 +697,7 @@ Copyright: no-info-found
License: OpenSSL
Files: demos/evp/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: demos/evp/Makefile
@@ -725,7 +705,7 @@ Copyright: no-info-found
License: OpenSSL
Files: demos/pkcs12/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: demos/smime/smdec.c
@@ -733,7 +713,7 @@ Files: demos/smime/smdec.c
demos/smime/smsign.c
demos/smime/smsign2.c
demos/smime/smver.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/*
@@ -745,7 +725,6 @@ Copyright: Copyright 2004-2019, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/ASN1_ITEM_lookup.pod
- doc/man3/BIO_get_data.pod
doc/man3/CTLOG_STORE_get0_log_by_id.pod
doc/man3/DTLS_get_data_mtu.pod
doc/man3/EVP_CIPHER_CTX_get_cipher_data.pod
@@ -781,14 +760,12 @@ Files: doc/man3/ASN1_STRING_TABLE_add.pod
doc/man3/SSL_SESSION_get_compress_id.pod
doc/man3/SSL_SESSION_get_ex_data.pod
doc/man3/SSL_SESSION_print.pod
- doc/man3/SSL_alloc_buffers.pod
Copyright: Copyright 2017, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/BIO_f_null.pod
doc/man3/BIO_s_null.pod
doc/man3/BIO_s_socket.pod
- doc/man3/DH_generate_key.pod
doc/man3/DH_new.pod
doc/man3/DSA_SIG_new.pod
doc/man3/DSA_do_sign.pod
@@ -804,33 +781,38 @@ Files: doc/man3/BIO_f_null.pod
doc/man3/SSL_get_peer_certificate.pod
doc/man3/SSL_get_rbio.pod
doc/man3/SSL_get_verify_result.pod
- doc/man3/SSL_set_fd.pod
doc/man3/SSL_set_verify_result.pod
Copyright: Copyright 2000-2016, The OpenSSL Project Authors.
License: OpenSSL
+Files: doc/man3/BIO_get_data.pod
+Copyright: Copyright 2016-2020, The OpenSSL Project Authors.
+License: OpenSSL
+
Files: doc/man3/BN_CTX_start.pod
doc/man3/BN_new.pod
doc/man3/DSA_generate_key.pod
doc/man3/RAND_cleanup.pod
- doc/man3/RSA_blinding_on.pod
doc/man3/RSA_sign_ASN1_OCTET_STRING.pod
doc/man3/SSL_library_init.pod
Copyright: Copyright 2000-2019, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/BN_add_word.pod
- doc/man3/BN_cmp.pod
doc/man3/BN_mod_inverse.pod
doc/man3/BN_num_bytes.pod
doc/man3/ERR_GET_LIB.pod
doc/man3/ERR_clear_error.pod
doc/man3/ERR_load_crypto_strings.pod
- doc/man3/ERR_print_errors.pod
doc/man3/OpenSSL_add_all_algorithms.pod
Copyright: Copyright 2000-2017, The OpenSSL Project Authors.
License: OpenSSL
+Files: doc/man3/BN_cmp.pod
+ doc/man3/ERR_load_strings.pod
+Copyright: Copyright 2000-2021, The OpenSSL Project Authors.
+License: OpenSSL
+
Files: doc/man3/BN_security_bits.pod
doc/man3/EVP_chacha20.pod
doc/man3/EVP_md5.pod
@@ -842,11 +824,9 @@ Files: doc/man3/BN_swap.pod
doc/man3/DH_size.pod
doc/man3/DSA_dup_DH.pod
doc/man3/DSA_size.pod
- doc/man3/ERR_load_strings.pod
doc/man3/ERR_remove_state.pod
doc/man3/RAND_egd.pod
doc/man3/RSA_size.pod
- doc/man3/d2i_DHparams.pod
Copyright: Copyright 2000-2018, The OpenSSL Project Authors.
License: OpenSSL
@@ -870,7 +850,7 @@ Copyright: Copyright 2004-2018, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/CRYPTO_memcmp.pod
-Copyright: Copyright 2019, The OpenSSL Project Authors.
+Copyright: Copyright 2019-2020, The OpenSSL Project Authors.
License: Apache-2.0
Files: doc/man3/ECPKParameters_print.pod
@@ -881,13 +861,18 @@ Files: doc/man3/EC_KEY_get_enc_flags.pod
Copyright: Copyright 2015-2017, The OpenSSL Project Authors.
License: OpenSSL
+Files: doc/man3/ERR_print_errors.pod
+ doc/man3/RSA_blinding_on.pod
+ doc/man3/d2i_DHparams.pod
+Copyright: Copyright 2000-2020, The OpenSSL Project Authors.
+License: OpenSSL
+
Files: doc/man3/ERR_set_mark.pod
Copyright: Copyright 2003-2017, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/EVP_PKEY_CTX_new.pod
- doc/man3/SSL_get_psk_identity.pod
-Copyright: Copyright 2006-2016, The OpenSSL Project Authors.
+Copyright: Copyright 2006-2020, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/EVP_PKEY_get_default_digest_nid.pod
@@ -944,7 +929,6 @@ Files: doc/man3/SSL_CTX_ctrl.pod
doc/man3/SSL_CTX_sess_set_cache_size.pod
doc/man3/SSL_get_SSL_CTX.pod
doc/man3/SSL_get_default_timeout.pod
- doc/man3/SSL_state_string.pod
doc/man3/d2i_SSL_SESSION.pod
Copyright: Copyright 2001-2016, The OpenSSL Project Authors.
License: OpenSSL
@@ -964,10 +948,6 @@ Files: doc/man3/SSL_CTX_set_ctlog_list_file.pod
Copyright: Copyright 2016-2019, The OpenSSL Project Authors.
License: OpenSSL
-Files: doc/man3/SSL_CTX_set_stateless_cookie_generate_cb.pod
-Copyright: Copyright 2018, The OpenSSL Project Authors.
-License: OpenSSL
-
Files: doc/man3/SSL_SESSION_get0_cipher.pod
Copyright: Copyright 2016-2017, The OpenSSL Project Authors.
License: OpenSSL
@@ -980,20 +960,34 @@ Copyright: Copyright 2015-2016, The OpenSSL Project Authors.
License: OpenSSL
Files: doc/man3/SSL_SESSION_has_ticket.pod
- doc/man3/X509_check_ca.pod
- doc/man3/X509_check_issued.pod
Copyright: Copyright 2015-2018, The OpenSSL Project Authors.
License: OpenSSL
+Files: doc/man3/SSL_alloc_buffers.pod
+Copyright: Copyright 2017-2020, The OpenSSL Project Authors.
+License: OpenSSL
+
+Files: doc/man3/SSL_get_psk_identity.pod
+Copyright: Copyright 2006-2016, The OpenSSL Project Authors.
+License: OpenSSL
+
Files: doc/man3/SSL_session_reused.pod
Copyright: Copyright 2001-2019, The OpenSSL Project Authors.
License: OpenSSL
-Files: doc/man3/X509_ALGOR_dup.pod
- doc/man3/X509_SIG_get0.pod
+Files: doc/man3/SSL_state_string.pod
+Copyright: Copyright 2001-2020, The OpenSSL Project Authors.
+License: OpenSSL
+
+Files: doc/man3/X509_SIG_get0.pod
Copyright: Copyright 2002-2018, The OpenSSL Project Authors.
License: OpenSSL
+Files: doc/man3/X509_check_ca.pod
+ doc/man3/X509_check_issued.pod
+Copyright: Copyright 2015-2020, The OpenSSL Project Authors.
+License: OpenSSL
+
Files: doc/man3/X509_verify_cert.pod
Copyright: Copyright 2009-2016, The OpenSSL Project Authors.
License: OpenSSL
@@ -1011,7 +1005,7 @@ Copyright: Copyright 2016-2017, The OpenSSL Project Authors.
License: OpenSSL
Files: engines/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: engines/build.info
@@ -1056,7 +1050,7 @@ Copyright: no-info-found
License: OpenSSL
Files: external/perl/transfer/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: fuzz/*
@@ -1080,11 +1074,25 @@ Files: fuzz/asn1.c
fuzz/server.c
fuzz/test-corpus.c
fuzz/x509.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: include/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
+License: OpenSSL
+
+Files: include/crypto/aria.h
+Copyright: no-info-found
+License: OpenSSL
+
+Files: include/crypto/sha.h
+Copyright: no-info-found
+License: OpenSSL
+
+Files: include/crypto/sm2.h
+ include/crypto/sm3.h
+ include/crypto/sm4.h
+Copyright: no-info-found
License: OpenSSL
Files: include/internal/o_dir.h
@@ -1104,7 +1112,7 @@ Copyright: no-info-found
License: OpenSSL
Files: include/openssl/seed.h
-Copyright: 2004-2018, The OpenSSL Project Authors.
+Copyright: 2004-2021, The OpenSSL Project Authors.
License: BSD-3-clause
Files: include/openssl/srp.h
@@ -1117,7 +1125,7 @@ Copyright: no-info-found
License: OpenSSL
Files: ms/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: os-dep/*
@@ -1125,7 +1133,7 @@ Copyright: no-info-found
License: OpenSSL
Files: ssl/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: ssl/build.info
@@ -1140,11 +1148,11 @@ Files: ssl/record/dtls1_bitmap.c
ssl/record/rec_layer_d1.c
ssl/record/rec_layer_s3.c
ssl/record/record.h
- ssl/record/record_locl.h
+ ssl/record/record_local.h
ssl/record/ssl3_buffer.c
ssl/record/ssl3_record.c
ssl/record/ssl3_record_tls13.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: ssl/s3_enc.c
@@ -1159,7 +1167,7 @@ License: OpenSSL
Files: ssl/s3_lib.c
ssl/ssl_ciph.c
ssl/ssl_lib.c
- ssl/ssl_locl.h
+ ssl/ssl_local.h
Copyright: no-info-found
License: OpenSSL
@@ -1178,8 +1186,8 @@ Files: ssl/statem/extensions.c
ssl/statem/statem.c
ssl/statem/statem.h
ssl/statem/statem_dtls.c
- ssl/statem/statem_locl.h
-Copyright: 1995-2019, The OpenSSL Project Authors.
+ ssl/statem/statem_local.h
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: ssl/statem/statem_clnt.c
@@ -1230,6 +1238,7 @@ Files: test/aborttest.c
test/ctype_internal_test.c
test/curve448_internal_test.c
test/d2i_test.c
+ test/dane-cross.in
test/danetest.c
test/danetest.in
test/destest.c
@@ -1290,6 +1299,7 @@ Files: test/aborttest.c
test/sm2_internal_test.c
test/srptest.c
test/ssl_cert_table_internal_test.c
+ test/ssl_ctx_test.c
test/ssl_test.c
test/ssl_test_ctx.c
test/ssl_test_ctx.h
@@ -1316,7 +1326,7 @@ Files: test/aborttest.c
test/x509_internal_test.c
test/x509_time_test.c
test/x509aux.c
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: test/certs/mkcert.sh
@@ -1329,6 +1339,12 @@ Files: test/ciphername_test.c
Copyright: no-info-found
License: OpenSSL
+Files: test/cmactest.c
+ test/ec_internal_test.c
+ test/ecdsatest.h
+Copyright: 1995-2022, The OpenSSL Project Authors.
+License: Apache-2.0
+
Files: test/d2i-tests/bad_cert.der
Copyright: no-info-found
License: OpenSSL
@@ -1337,11 +1353,6 @@ Files: test/d2i-tests/bad_generalname.der
Copyright: no-info-found
License: OpenSSL
-Files: test/ec_internal_test.c
- test/ecdsatest.h
-Copyright: 2010-2019, The OpenSSL Project Authors.
-License: Apache-2.0
-
Files: test/ecdsatest.c
test/lhash_test.c
test/stack_test.c
@@ -1355,7 +1366,7 @@ Copyright: no-info-found
License: OpenSSL
Files: test/ossl_shim/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: test/ossl_shim/build.info
@@ -1368,7 +1379,7 @@ Copyright: no-info-found
License: CC0
Files: test/recipes/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: test/recipes/01-test_test.t
@@ -1384,7 +1395,10 @@ Copyright: no-info-found
License: OpenSSL
Files: test/recipes/03-test_internal_ec.t
-Copyright: 2010-2019, The OpenSSL Project Authors.
+ test/recipes/05-test_cmac.t
+ test/recipes/15-test_genec.t
+ test/recipes/20-test_dgst.t
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
Files: test/recipes/03-test_internal_sm4.t
@@ -1395,6 +1409,10 @@ Files: test/recipes/04-test_pem_data/*
Copyright: no-info-found
License: OpenSSL
+Files: test/recipes/10-test_bn_data/bngcd.txt
+Copyright: 1995-2022, The OpenSSL Project Authors.
+License: Apache-2.0
+
Files: test/recipes/15-test_ecparam_data/*
Copyright: no-info-found
License: OpenSSL
@@ -1409,7 +1427,7 @@ Copyright: no-info-found
License: OpenSSL
Files: test/recipes/30-test_evp_data/evpccmcavs.txt
-Copyright: 2010-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
Files: test/recipes/30-test_evp_data/evppkey_ecc.txt
@@ -1477,7 +1495,7 @@ Copyright: no-info-found
License: OpenSSL
Files: test/smime-certs/mksmime-certs.sh
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: test/ssl-tests/01-simple.conf.in
@@ -1507,23 +1525,27 @@ Files: test/ssl-tests/01-simple.conf.in
test/ssl-tests/28-seclevel.conf.in
test/ssl-tests/protocol_version.pm
test/ssl-tests/ssltests_base.pm
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: test/ssl-tests/29-dtls-sctp-label-bug.conf.in
-Copyright: 2010-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
Files: test/ssltest_old.c
Copyright: no-info-found
License: OpenSSL
+Files: test/testrsa_withattrs.der
+Copyright: no-info-found
+License: OpenSSL
+
Files: test/testutil/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: test/testutil/random.c
-Copyright: 2010-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
Files: test/testutil/tap_bio.c
@@ -1535,15 +1557,16 @@ Copyright: no-info-found
License: OpenSSL
Files: tools/c_rehash.in
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: util/*
-Copyright: 1995-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: OpenSSL
Files: util/build.info
util/echo.pl
+ util/fix-includes.sed
util/indent.pro
util/libcrypto.num
util/libssl.num
@@ -1556,7 +1579,8 @@ Copyright: no-info-found
License: OpenSSL
Files: util/cavs-to-evptest.pl
-Copyright: 2010-2019, The OpenSSL Project Authors.
+ util/fix-includes
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
Files: util/perl/OpenSSL/Glob.pm
@@ -1564,5 +1588,5 @@ Copyright: no-info-found
License: OpenSSL
Files: util/perl/TLSProxy/CertificateRequest.pm
-Copyright: 2010-2019, The OpenSSL Project Authors.
+Copyright: 1995-2022, The OpenSSL Project Authors.
License: Apache-2.0
--
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