From: Bodo Möller Date: Fri, 2 Aug 2002 13:42:24 +0000 (+0000) Subject: add support for elliptic curves over binary fields X-Git-Tag: OpenSSL_0_9_7-beta4~218^2~22 X-Git-Url: https://git.openssl.org/?p=openssl.git;a=commitdiff_plain;h=7793f30e09c104b209206608a20f2088b1b635fd add support for elliptic curves over binary fields Submitted by: Duglas Stebila , Sheueling Chang (CHANGES entries by Bodo Moeller) --- diff --git a/CHANGES b/CHANGES index 39b5e3aefd..6684dafa3d 100644 --- a/CHANGES +++ b/CHANGES @@ -4,6 +4,70 @@ Changes between 0.9.7 and 0.9.8 [xx XXX 2002] + *) Add named elliptic curves over binary fields from X9.62, SECG, + and WAP/WTLS; add OIDs that were still missing. + + [Sheueling Chang Shantz and Douglas Stebila + (Sun Microsystems Laboratories)] + + *) Extend the EC library for elliptic curves over binary fields + (new files ec2_smpl.c, ec2_smpt.c, ec2_mult.c in crypto/ec/). + New EC_METHOD: + + EC_GF2m_simple_method + + New API functions: + + EC_GROUP_new_curve_GF2m + EC_GROUP_set_curve_GF2m + EC_GROUP_get_curve_GF2m + EC_POINT_set_Jprojective_coordinates_GF2m + EC_POINT_get_Jprojective_coordinates_GF2m + EC_POINT_set_affine_coordinates_GF2m + EC_POINT_get_affine_coordinates_GF2m + EC_POINT_set_compressed_coordinates_GF2m + + Point compression for binary fields is disabled by default for + patent reasons (compile with OPENSSL_EC_BIN_PT_COMP defined to + enable it). + + As binary polynomials are represented as BIGNUMs, various members + of the EC_GROUP and EC_POINT data structures can be shared + between the implementations for prime fields and binary fields; + the above ..._GF2m functions (except for EX_GROUP_new_curve_GF2m) + are essentially identical to their ..._GFp counterparts. + (For simplicity, '..._GFp' prefix has been dropped from various + internal method names.) + + An internal 'field_div' method (similar to 'field_mul' and + 'field_sqr') has been added; this is used only for binary fields. + + [Sheueling Chang Shantz and Douglas Stebila + (Sun Microsystems Laboratories)] + + *) Optionally dispatch EC_PONT_mul(), EC_POINT_precompute_mult() + through methods ('mul', 'precompute_mult'). + + The generic implementations (now internally called 'ec_wNAF_mul' + and 'ec_wNAF_precomputed_mult') remain the default if these + methods are undefined. + + [Sheueling Chang Shantz and Douglas Stebila + (Sun Microsystems Laboratories)] + + *) New function EC_GROUP_get_degree, which is defined through + EC_METHOD. For curves over prime fields, this returns the bit + length of the modulus. + + [Sheueling Chang Shantz and Douglas Stebila + (Sun Microsystems Laboratories)] + + *) New functions EC_GROUP_dup, EC_POINT_dup. + (These simply call ..._new and ..._copy). + + [Sheueling Chang Shantz and Douglas Stebila + (Sun Microsystems Laboratories)] + *) Add binary polynomial arithmetic software in crypto/bn/bn_gf2m.c. Polynomials are represented as BIGNUMs (where the sign bit is not used) in the following functions [macros]: @@ -56,9 +120,6 @@ TBD ... OPENSSL_NO_SUN_DIV ... --Bodo [Sheueling Chang Shantz and Douglas Stebila (Sun Microsystems Laboratories)] - *) Add more WAP/WTLS elliptic curve OIDs. - [Douglas Stebila ] - *) Add new error code 'ERR_R_DISABLED' that can be used when some functionality is disabled at compile-time. [Douglas Stebila ] diff --git a/crypto/ec/Makefile.ssl b/crypto/ec/Makefile.ssl index cf6059d76a..8591ef14e0 100644 --- a/crypto/ec/Makefile.ssl +++ b/crypto/ec/Makefile.ssl @@ -24,10 +24,10 @@ APPS= LIB=$(TOP)/libcrypto.a LIBSRC= ec_lib.c ecp_smpl.c ecp_mont.c ecp_recp.c ecp_nist.c ec_cvt.c ec_mult.c \ - ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c + ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c ec2_smpl.c ec2_mult.c LIBOBJ= ec_lib.o ecp_smpl.o ecp_mont.o ecp_recp.o ecp_nist.o ec_cvt.o ec_mult.o \ - ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o + ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o ec2_smpl.o ec2_mult.o SRC= $(LIBSRC) @@ -176,3 +176,17 @@ ecp_smpl.o: ../../include/openssl/obj_mac.h ../../include/openssl/opensslconf.h ecp_smpl.o: ../../include/openssl/opensslv.h ../../include/openssl/ossl_typ.h ecp_smpl.o: ../../include/openssl/safestack.h ../../include/openssl/stack.h ecp_smpl.o: ../../include/openssl/symhacks.h ec_lcl.h ecp_smpl.c +ec2_smpl.o: ../../include/openssl/bio.h ../../include/openssl/bn.h +ec2_smpl.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h +ec2_smpl.o: ../../include/openssl/ec.h ../../include/openssl/err.h +ec2_smpl.o: ../../include/openssl/lhash.h ../../include/openssl/opensslconf.h +ec2_smpl.o: ../../include/openssl/opensslv.h ../../include/openssl/safestack.h +ec2_smpl.o: ../../include/openssl/stack.h ../../include/openssl/symhacks.h +ec2_smpl.o: ec_lcl.h ec2_smpl.c ec2_smpt.c +ec2_mult.o: ../../include/openssl/bio.h ../../include/openssl/bn.h +ec2_mult.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h +ec2_mult.o: ../../include/openssl/ec.h ../../include/openssl/err.h +ec2_mult.o: ../../include/openssl/lhash.h ../../include/openssl/opensslconf.h +ec2_mult.o: ../../include/openssl/opensslv.h ../../include/openssl/safestack.h +ec2_mult.o: ../../include/openssl/stack.h ../../include/openssl/symhacks.h +ec2_mult.o: ec_lcl.h ec2_mult.c diff --git a/crypto/ec/ec.h b/crypto/ec/ec.h index 55f9cabd03..16ebeb37d4 100644 --- a/crypto/ec/ec.h +++ b/crypto/ec/ec.h @@ -52,6 +52,32 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the Contribution as delivered hereunder + * (or portions thereof), provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the Contribution; + * 2) separates from the Contribution; or + * 3) for infringements caused by: + * i) the modification of the Contribution or + * ii) the combination of the Contribution with other software or + * devices where such combination causes the infringement. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ #ifndef HEADER_EC_H #define HEADER_EC_H @@ -103,11 +129,17 @@ const EC_METHOD *EC_GFp_recp_method(void); /* TODO */ const EC_METHOD *EC_GFp_nist_method(void); /* TODO */ #endif +/* EC_METHODs for curves over GF(2^m). + * EC_GF2m_simple_method provides the basis for the optimized methods. + */ +const EC_METHOD *EC_GF2m_simple_method(void); + EC_GROUP *EC_GROUP_new(const EC_METHOD *); void EC_GROUP_free(EC_GROUP *); void EC_GROUP_clear_free(EC_GROUP *); int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *); +EC_GROUP *EC_GROUP_dup(const EC_GROUP *); const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *); int EC_METHOD_get_field_type(const EC_METHOD *); @@ -130,12 +162,12 @@ unsigned char *EC_GROUP_get0_seed(const EC_GROUP *); size_t EC_GROUP_get_seed_len(const EC_GROUP *); size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); -/* We don't have types for field specifications and field elements in general. - * Otherwise we could declare - * int EC_GROUP_set_curve(EC_GROUP *, .....); - */ int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); +int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); +int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); + +int EC_GROUP_get_degree(const EC_GROUP *); /* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */ int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); @@ -143,9 +175,10 @@ int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); * elliptic curve is not zero, 0 otherwise */ int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *); -/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp() +/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() * after choosing an appropriate EC_METHOD */ EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); +EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); /* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set * generator and order */ @@ -181,15 +214,66 @@ EC_GROUP *EC_GROUP_new_by_name(int name); #define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1 #define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1 #define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6 -#define EC_GROUP_WTLS_7 NID_secp160r1 +#define EC_GROUP_WTLS_7 NID_wap_wsg_idm_ecid_wtls7 #define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8 #define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9 -#define EC_GROUP_WTLS_12 NID_secp224r1 +#define EC_GROUP_WTLS_12 NID_wap_wsg_idm_ecid_wtls12 +#define EC_GROUP_NIST_CHAR2_K163 NID_sect163k1 +#define EC_GROUP_NIST_CHAR2_B163 NID_sect163r2 +#define EC_GROUP_NIST_CHAR2_K233 NID_sect233k1 +#define EC_GROUP_NIST_CHAR2_B233 NID_sect233r1 +#define EC_GROUP_NIST_CHAR2_K283 NID_sect283k1 +#define EC_GROUP_NIST_CHAR2_B283 NID_sect283r1 +#define EC_GROUP_NIST_CHAR2_K409 NID_sect409k1 +#define EC_GROUP_NIST_CHAR2_B409 NID_sect409r1 +#define EC_GROUP_NIST_CHAR2_K571 NID_sect571k1 +#define EC_GROUP_NIST_CHAR2_B571 NID_sect571r1 +#define EC_GROUP_X9_62_CHAR2_163V1 NID_X9_62_c2pnb163v1 +#define EC_GROUP_X9_62_CHAR2_163V2 NID_X9_62_c2pnb163v2 +#define EC_GROUP_X9_62_CHAR2_163V3 NID_X9_62_c2pnb163v3 +#define EC_GROUP_X9_62_CHAR2_176V1 NID_X9_62_c2pnb176v1 +#define EC_GROUP_X9_62_CHAR2_191V1 NID_X9_62_c2tnb191v1 +#define EC_GROUP_X9_62_CHAR2_191V2 NID_X9_62_c2tnb191v2 +#define EC_GROUP_X9_62_CHAR2_191V3 NID_X9_62_c2tnb191v3 +#define EC_GROUP_X9_62_CHAR2_208W1 NID_X9_62_c2pnb208w1 +#define EC_GROUP_X9_62_CHAR2_239V1 NID_X9_62_c2tnb239v1 +#define EC_GROUP_X9_62_CHAR2_239V2 NID_X9_62_c2tnb239v2 +#define EC_GROUP_X9_62_CHAR2_239V3 NID_X9_62_c2tnb239v3 +#define EC_GROUP_X9_62_CHAR2_272W1 NID_X9_62_c2pnb272w1 +#define EC_GROUP_X9_62_CHAR2_304W1 NID_X9_62_c2pnb304w1 +#define EC_GROUP_X9_62_CHAR2_359V1 NID_X9_62_c2tnb359v1 +#define EC_GROUP_X9_62_CHAR2_368W1 NID_X9_62_c2pnb368w1 +#define EC_GROUP_X9_62_CHAR2_431R1 NID_X9_62_c2tnb431r1 +#define EC_GROUP_SECG_CHAR2_113R1 NID_sect113r1 +#define EC_GROUP_SECG_CHAR2_113R2 NID_sect113r2 +#define EC_GROUP_SECG_CHAR2_131R1 NID_sect131r1 +#define EC_GROUP_SECG_CHAR2_131R2 NID_sect131r2 +#define EC_GROUP_SECG_CHAR2_163K1 NID_sect163k1 +#define EC_GROUP_SECG_CHAR2_163R1 NID_sect163r1 +#define EC_GROUP_SECG_CHAR2_163R2 NID_sect163r2 +#define EC_GROUP_SECG_CHAR2_193R1 NID_sect193r1 +#define EC_GROUP_SECG_CHAR2_193R2 NID_sect193r2 +#define EC_GROUP_SECG_CHAR2_233K1 NID_sect233k1 +#define EC_GROUP_SECG_CHAR2_233R1 NID_sect233r1 +#define EC_GROUP_SECG_CHAR2_239K1 NID_sect239k1 +#define EC_GROUP_SECG_CHAR2_283K1 NID_sect283k1 +#define EC_GROUP_SECG_CHAR2_283R1 NID_sect283r1 +#define EC_GROUP_SECG_CHAR2_409K1 NID_sect409k1 +#define EC_GROUP_SECG_CHAR2_409R1 NID_sect409r1 +#define EC_GROUP_SECG_CHAR2_571K1 NID_sect571k1 +#define EC_GROUP_SECG_CHAR2_571R1 NID_sect571r1 +#define EC_GROUP_WTLS_1 NID_wap_wsg_idm_ecid_wtls1 +#define EC_GROUP_WTLS_3 NID_wap_wsg_idm_ecid_wtls3 +#define EC_GROUP_WTLS_4 NID_wap_wsg_idm_ecid_wtls4 +#define EC_GROUP_WTLS_5 NID_wap_wsg_idm_ecid_wtls5 +#define EC_GROUP_WTLS_10 NID_wap_wsg_idm_ecid_wtls10 +#define EC_GROUP_WTLS_11 NID_wap_wsg_idm_ecid_wtls11 EC_POINT *EC_POINT_new(const EC_GROUP *); void EC_POINT_free(EC_POINT *); void EC_POINT_clear_free(EC_POINT *); int EC_POINT_copy(EC_POINT *, const EC_POINT *); +EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *); const EC_METHOD *EC_POINT_method_of(const EC_POINT *); @@ -205,6 +289,17 @@ int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *, int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *, const BIGNUM *x, int y_bit, BN_CTX *); +int EC_POINT_set_Jprojective_coordinates_GF2m(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); +int EC_POINT_get_Jprojective_coordinates_GF2m(const EC_GROUP *, const EC_POINT *, + BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); +int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, const BIGNUM *y, BN_CTX *); +int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *, + BIGNUM *x, BIGNUM *y, BN_CTX *); +int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, int y_bit, BN_CTX *); + size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *); int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *, @@ -309,6 +404,12 @@ void ERR_load_EC_strings(void); #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 162 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 163 +#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 168 +#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 169 +#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 170 +#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M 171 +#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M 172 +#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M 185 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 #define EC_F_EC_GFP_MONT_FIELD_MUL 131 @@ -328,15 +429,19 @@ void ERR_load_EC_strings(void); #define EC_F_EC_GROUP_COPY 106 #define EC_F_EC_GROUP_GET0_GENERATOR 139 #define EC_F_EC_GROUP_GET_COFACTOR 140 +#define EC_F_EC_GROUP_GET_CURVE_GF2M 173 #define EC_F_EC_GROUP_GET_CURVE_GFP 130 +#define EC_F_EC_GROUP_GET_DEGREE 174 #define EC_F_EC_GROUP_GET_EXTRA_DATA 107 #define EC_F_EC_GROUP_GET_ORDER 141 #define EC_F_EC_GROUP_GROUP2NID 147 #define EC_F_EC_GROUP_NEW 108 #define EC_F_EC_GROUP_NEW_BY_NAME 144 #define EC_F_EC_GROUP_NEW_BY_NID 146 +#define EC_F_EC_GROUP_NEW_GF2M_FROM_HEX 175 #define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 +#define EC_F_EC_GROUP_SET_CURVE_GF2M 176 #define EC_F_EC_GROUP_SET_CURVE_GFP 109 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110 #define EC_F_EC_GROUP_SET_GENERATOR 111 @@ -346,18 +451,26 @@ void ERR_load_EC_strings(void); #define EC_F_EC_POINT_CMP 113 #define EC_F_EC_POINT_COPY 114 #define EC_F_EC_POINT_DBL 115 +#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 177 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 +#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M 178 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 #define EC_F_EC_POINT_IS_AT_INFINITY 118 #define EC_F_EC_POINT_IS_ON_CURVE 119 #define EC_F_EC_POINT_MAKE_AFFINE 120 +#define EC_F_EC_POINT_MUL 179 #define EC_F_EC_POINT_NEW 121 #define EC_F_EC_POINT_OCT2POINT 122 #define EC_F_EC_POINT_POINT2OCT 123 +#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 180 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 +#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 181 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 +#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M 182 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 #define EC_F_EC_POINT_SET_TO_INFINITY 127 +#define EC_F_EC_WNAF_MUL 183 +#define EC_F_EC_WNAF_PRECOMPUTE_MULT 184 #define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135 #define EC_F_I2D_ECDSAPARAMETERS 158 #define EC_F_I2D_ECPARAMETERS 164 diff --git a/crypto/ec/ec2_mult.c b/crypto/ec/ec2_mult.c new file mode 100644 index 0000000000..d766375369 --- /dev/null +++ b/crypto/ec/ec2_mult.c @@ -0,0 +1,387 @@ +/* crypto/ec/ec2_mult.c */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * The Elliptic Curve Public-Key Crypto Library (ECC Code) included + * herein is developed by SUN MICROSYSTEMS, INC., and is contributed + * to the OpenSSL project. + * + * The ECC Code is licensed pursuant to the OpenSSL open source + * license provided below. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the ECC Code as delivered hereunder (or portions thereof), + * provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the ECC Code; + * 2) separates from the ECC Code; or + * 3) for infringements caused by: + * i) the modification of the ECC Code or + * ii) the combination of the ECC Code with other software or + * devices where such combination causes the infringement. + * + * The software is originally written by Sheueling Chang Shantz and + * Douglas Stebila of Sun Microsystems Laboratories. + * + */ +/* ==================================================================== + * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * + * 3. All advertising materials mentioning features or use of this + * software must display the following acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" + * + * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to + * endorse or promote products derived from this software without + * prior written permission. For written permission, please contact + * openssl-core@openssl.org. + * + * 5. Products derived from this software may not be called "OpenSSL" + * nor may "OpenSSL" appear in their names without prior written + * permission of the OpenSSL Project. + * + * 6. Redistributions of any form whatsoever must retain the following + * acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit (http://www.openssl.org/)" + * + * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY + * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR + * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * ==================================================================== + * + * This product includes cryptographic software written by Eric Young + * (eay@cryptsoft.com). This product includes software written by Tim + * Hudson (tjh@cryptsoft.com). + * + */ + +#include + +#include "ec_lcl.h" + + +/* Compute the x-coordinate x/z for the point 2*(x/z) in Montgomery projective + * coordinates. + * Uses algorithm Mdouble in appendix of + * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over + * GF(2^m) without precomputation". + * modified to not require precomputation of c=b^{2^{m-1}}. + */ +static int Mdouble(const EC_GROUP *group, BIGNUM *x, BIGNUM *z, BN_CTX *ctx) + { + BIGNUM *t1; + int ret = 0; + + /* Since Mdouble is static we can guarantee that ctx != NULL. */ + BN_CTX_start(ctx); + t1 = BN_CTX_get(ctx); + if (t1 == NULL) goto err; + + if (!group->meth->field_sqr(group, x, x, ctx)) goto err; + if (!group->meth->field_sqr(group, t1, z, ctx)) goto err; + if (!group->meth->field_mul(group, z, x, t1, ctx)) goto err; + if (!group->meth->field_sqr(group, x, x, ctx)) goto err; + if (!group->meth->field_sqr(group, t1, t1, ctx)) goto err; + if (!group->meth->field_mul(group, t1, &group->b, t1, ctx)) goto err; + if (!BN_GF2m_add(x, x, t1)) goto err; + + ret = 1; + + err: + BN_CTX_end(ctx); + return ret; + } + +/* Compute the x-coordinate x1/z1 for the point (x1/z1)+(x2/x2) in Montgomery + * projective coordinates. + * Uses algorithm Madd in appendix of + * Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over + * GF(2^m) without precomputation". + */ +static int Madd(const EC_GROUP *group, const BIGNUM *x, BIGNUM *x1, BIGNUM *z1, + const BIGNUM *x2, const BIGNUM *z2, BN_CTX *ctx) + { + BIGNUM *t1, *t2; + int ret = 0; + + /* Since Madd is static we can guarantee that ctx != NULL. */ + BN_CTX_start(ctx); + t1 = BN_CTX_get(ctx); + t2 = BN_CTX_get(ctx); + if (t2 == NULL) goto err; + + if (!BN_copy(t1, x)) goto err; + if (!group->meth->field_mul(group, x1, x1, z2, ctx)) goto err; + if (!group->meth->field_mul(group, z1, z1, x2, ctx)) goto err; + if (!group->meth->field_mul(group, t2, x1, z1, ctx)) goto err; + if (!BN_GF2m_add(z1, z1, x1)) goto err; + if (!group->meth->field_sqr(group, z1, z1, ctx)) goto err; + if (!group->meth->field_mul(group, x1, z1, t1, ctx)) goto err; + if (!BN_GF2m_add(x1, x1, t2)) goto err; + + ret = 1; + + err: + BN_CTX_end(ctx); + return ret; + } + +/* Compute the affine coordinates x2, y2=z2 for the point (x1/z1) and (x2/x2) in + * Montgomery projective coordinates. + * Uses algorithm Mxy in appendix of + * Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over + * GF(2^m) without precomputation". + * Returns: + * 0 on error + * 1 if return value should be the point at infinity + * 2 otherwise + */ +static int Mxy(const EC_GROUP *group, const BIGNUM *x, const BIGNUM *y, BIGNUM *x1, + BIGNUM *z1, BIGNUM *x2, BIGNUM *z2, BN_CTX *ctx) + { + BIGNUM *t3, *t4, *t5; + int ret = 0; + + if (BN_is_zero(z1)) + { + if (!BN_zero(x2)) return 0; + if (!BN_zero(z2)) return 0; + return 1; + } + + if (BN_is_zero(z2)) + { + if (!BN_copy(x2, x)) return 0; + if (!BN_GF2m_add(z2, x, y)) return 0; + return 2; + } + + /* Since Mxy is static we can guarantee that ctx != NULL. */ + BN_CTX_start(ctx); + t3 = BN_CTX_get(ctx); + t4 = BN_CTX_get(ctx); + t5 = BN_CTX_get(ctx); + if (t5 == NULL) goto err; + + if (!BN_one(t5)) goto err; + + if (!group->meth->field_mul(group, t3, z1, z2, ctx)) goto err; + + if (!group->meth->field_mul(group, z1, z1, x, ctx)) goto err; + if (!BN_GF2m_add(z1, z1, x1)) goto err; + if (!group->meth->field_mul(group, z2, z2, x, ctx)) goto err; + if (!group->meth->field_mul(group, x1, z2, x1, ctx)) goto err; + if (!BN_GF2m_add(z2, z2, x2)) goto err; + + if (!group->meth->field_mul(group, z2, z2, z1, ctx)) goto err; + if (!group->meth->field_sqr(group, t4, x, ctx)) goto err; + if (!BN_GF2m_add(t4, t4, y)) goto err; + if (!group->meth->field_mul(group, t4, t4, t3, ctx)) goto err; + if (!BN_GF2m_add(t4, t4, z2)) goto err; + + if (!group->meth->field_mul(group, t3, t3, x, ctx)) goto err; + if (!group->meth->field_div(group, t3, t5, t3, ctx)) goto err; + if (!group->meth->field_mul(group, t4, t3, t4, ctx)) goto err; + if (!group->meth->field_mul(group, x2, x1, t3, ctx)) goto err; + if (!BN_GF2m_add(z2, x2, x)) goto err; + + if (!group->meth->field_mul(group, z2, z2, t4, ctx)) goto err; + if (!BN_GF2m_add(z2, z2, y)) goto err; + + ret = 2; + + err: + BN_CTX_end(ctx); + return ret; + } + +/* Computes scalar*point and stores the result in r. + * point can not equal r. + * Uses algorithm 2P of + * Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over + * GF(2^m) without precomputation". + */ +static int point_multiply(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + const EC_POINT *point, BN_CTX *ctx) + { + BIGNUM *x1, *x2, *z1, *z2; + int ret = 0, i, j; + BN_ULONG mask; + + if (r == point) + { + ECerr(EC_F_EC_POINT_MUL, EC_R_INVALID_ARGUMENT); + return 0; + } + + /* if result should be point at infinity */ + if ((scalar == NULL) || BN_is_zero(scalar) || (point == NULL) || + EC_POINT_is_at_infinity(group, point)) + { + return EC_POINT_set_to_infinity(group, r); + } + + /* only support affine coordinates */ + if (!point->Z_is_one) return 0; + + /* Since point_multiply is static we can guarantee that ctx != NULL. */ + BN_CTX_start(ctx); + x1 = BN_CTX_get(ctx); + z1 = BN_CTX_get(ctx); + if (z1 == NULL) goto err; + + x2 = &r->X; + z2 = &r->Y; + + if (!BN_GF2m_mod_arr(x1, &point->X, group->poly)) goto err; /* x1 = x */ + if (!BN_one(z1)) goto err; /* z1 = 1 */ + if (!group->meth->field_sqr(group, z2, x1, ctx)) goto err; /* z2 = x1^2 = x^2 */ + if (!group->meth->field_sqr(group, x2, z2, ctx)) goto err; + if (!BN_GF2m_add(x2, x2, &group->b)) goto err; /* x2 = x^4 + b */ + + /* find top most bit and go one past it */ + i = scalar->top - 1; j = BN_BITS2 - 1; + mask = BN_TBIT; + while (!(scalar->d[i] & mask)) { mask >>= 1; j--; } + mask >>= 1; j--; + /* if top most bit was at word break, go to next word */ + if (!mask) + { + i--; j = BN_BITS2 - 1; + mask = BN_TBIT; + } + + for (; i >= 0; i--) + { + for (; j >= 0; j--) + { + if (scalar->d[i] & mask) + { + if (!Madd(group, &point->X, x1, z1, x2, z2, ctx)) goto err; + if (!Mdouble(group, x2, z2, ctx)) goto err; + } + else + { + if (!Madd(group, &point->X, x2, z2, x1, z1, ctx)) goto err; + if (!Mdouble(group, x1, z1, ctx)) goto err; + } + mask >>= 1; + } + j = BN_BITS2 - 1; + mask = BN_TBIT; + } + + /* convert out of "projective" coordinates */ + i = Mxy(group, &point->X, &point->Y, x1, z1, x2, z2, ctx); + if (i == 0) goto err; + else if (i == 1) + { + if (!EC_POINT_set_to_infinity(group, r)) goto err; + } + else + { + if (!BN_one(&r->Z)) goto err; + r->Z_is_one = 1; + } + + /* GF(2^m) field elements should always have BIGNUM::neg = 0 */ + r->X.neg = 0; + r->Y.neg = 0; + + ret = 1; + + err: + BN_CTX_end(ctx); + return ret; + } + + +/* Computes the sum + * scalar*group->generator + scalars[0]*points[0] + ... + scalars[num-1]*points[num-1] + * gracefully ignoring NULL scalar values. + */ +int ec_GF2m_mont_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx) + { + BN_CTX *new_ctx = NULL; + int ret = 0, i; + EC_POINT *p=NULL; + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return 0; + } + + /* This implementation is more efficient than the wNAF implementation for 2 + * or fewer points. Use the ec_wNAF_mul implementation 3 or more points. + */ + if ((scalar && (num > 1)) || (num > 2)) + { + ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); + goto err; + } + + if ((p = EC_POINT_new(group)) == NULL) goto err; + + if (!EC_POINT_set_to_infinity(group, r)) goto err; + + if (scalar) + { + if (!point_multiply(group, p, scalar, group->generator, ctx)) goto err; + if (scalar->neg) if (!group->meth->invert(group, p, ctx)) goto err; + if (!group->meth->add(group, r, r, p, ctx)) goto err; + } + + for (i = 0; i < num; i++) + { + if (!point_multiply(group, p, scalars[i], points[i], ctx)) goto err; + if (scalars[i]->neg) if (!group->meth->invert(group, p, ctx)) goto err; + if (!group->meth->add(group, r, r, p, ctx)) goto err; + } + + ret = 1; + + err: + if (p) EC_POINT_free(p); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return ret; + } + + +/* Precomputation for point multiplication. */ +int ec_GF2m_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx) + { + /* There is no precomputation to do for Montgomery scalar multiplication but + * since this implementation falls back to the wNAF multiplication for more than + * two points, call the wNAF implementation's precompute. + */ + return ec_wNAF_precompute_mult(group, ctx); + } diff --git a/crypto/ec/ec2_smpl.c b/crypto/ec/ec2_smpl.c new file mode 100644 index 0000000000..09ce539334 --- /dev/null +++ b/crypto/ec/ec2_smpl.c @@ -0,0 +1,980 @@ +/* crypto/ec/ec2_smpl.c */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * The Elliptic Curve Public-Key Crypto Library (ECC Code) included + * herein is developed by SUN MICROSYSTEMS, INC., and is contributed + * to the OpenSSL project. + * + * The ECC Code is licensed pursuant to the OpenSSL open source + * license provided below. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the ECC Code as delivered hereunder (or portions thereof), + * provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the ECC Code; + * 2) separates from the ECC Code; or + * 3) for infringements caused by: + * i) the modification of the ECC Code or + * ii) the combination of the ECC Code with other software or + * devices where such combination causes the infringement. + * + * The software is originally written by Sheueling Chang Shantz and + * Douglas Stebila of Sun Microsystems Laboratories. + * + */ +/* ==================================================================== + * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * + * 3. All advertising materials mentioning features or use of this + * software must display the following acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" + * + * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to + * endorse or promote products derived from this software without + * prior written permission. For written permission, please contact + * openssl-core@openssl.org. + * + * 5. Products derived from this software may not be called "OpenSSL" + * nor may "OpenSSL" appear in their names without prior written + * permission of the OpenSSL Project. + * + * 6. Redistributions of any form whatsoever must retain the following + * acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit (http://www.openssl.org/)" + * + * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY + * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR + * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * ==================================================================== + * + * This product includes cryptographic software written by Eric Young + * (eay@cryptsoft.com). This product includes software written by Tim + * Hudson (tjh@cryptsoft.com). + * + */ + +#include + +#include "ec_lcl.h" + + +const EC_METHOD *EC_GF2m_simple_method(void) + { + static const EC_METHOD ret = { + NID_X9_62_characteristic_two_field, + ec_GF2m_simple_group_init, + ec_GF2m_simple_group_finish, + ec_GF2m_simple_group_clear_finish, + ec_GF2m_simple_group_copy, + ec_GF2m_simple_group_set_curve_GF2m, + ec_GF2m_simple_group_get_curve_GF2m, + ec_GF2m_simple_group_get_degree, + ec_GF2m_simple_group_check_discriminant, + ec_GF2m_simple_point_init, + ec_GF2m_simple_point_finish, + ec_GF2m_simple_point_clear_finish, + ec_GF2m_simple_point_copy, + ec_GF2m_simple_point_set_to_infinity, + 0 /* set_Jprojective_coordinates_GF2m */, + 0 /* get_Jprojective_coordinates_GF2m */, + ec_GF2m_simple_point_set_affine_coordinates_GF2m, + ec_GF2m_simple_point_get_affine_coordinates_GF2m, + ec_GF2m_simple_set_compressed_coordinates_GF2m, + ec_GF2m_simple_point2oct, + ec_GF2m_simple_oct2point, + ec_GF2m_simple_add, + ec_GF2m_simple_dbl, + ec_GF2m_simple_invert, + ec_GF2m_mont_mul, + ec_GF2m_mont_precompute_mult, + ec_GF2m_simple_is_at_infinity, + ec_GF2m_simple_is_on_curve, + ec_GF2m_simple_cmp, + ec_GF2m_simple_make_affine, + ec_GF2m_simple_points_make_affine, + ec_GF2m_simple_field_mul, + ec_GF2m_simple_field_sqr, + ec_GF2m_simple_field_div, + 0 /* field_encode */, + 0 /* field_decode */, + 0 /* field_set_to_one */ }; + + return &ret; + } + + +/* Initialize a GF(2^m)-based EC_GROUP structure. + * Note that all other members are handled by EC_GROUP_new. + */ +int ec_GF2m_simple_group_init(EC_GROUP *group) + { + BN_init(&group->field); + BN_init(&group->a); + BN_init(&group->b); + return 1; + } + + +/* Free a GF(2^m)-based EC_GROUP structure. + * Note that all other members are handled by EC_GROUP_free. + */ +void ec_GF2m_simple_group_finish(EC_GROUP *group) + { + BN_free(&group->field); + BN_free(&group->a); + BN_free(&group->b); + } + + +/* Clear and free a GF(2^m)-based EC_GROUP structure. + * Note that all other members are handled by EC_GROUP_clear_free. + */ +void ec_GF2m_simple_group_clear_finish(EC_GROUP *group) + { + BN_clear_free(&group->field); + BN_clear_free(&group->a); + BN_clear_free(&group->b); + group->poly[0] = 0; + group->poly[1] = 0; + group->poly[2] = 0; + group->poly[3] = 0; + group->poly[4] = 0; + } + + +/* Copy a GF(2^m)-based EC_GROUP structure. + * Note that all other members are handled by EC_GROUP_copy. + */ +int ec_GF2m_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src) + { + int i; + if (!BN_copy(&dest->field, &src->field)) return 0; + if (!BN_copy(&dest->a, &src->a)) return 0; + if (!BN_copy(&dest->b, &src->b)) return 0; + dest->poly[0] = src->poly[0]; + dest->poly[1] = src->poly[1]; + dest->poly[2] = src->poly[2]; + dest->poly[3] = src->poly[3]; + dest->poly[4] = src->poly[4]; + bn_wexpand(&dest->a, (dest->poly[0] + BN_BITS2 - 1) / BN_BITS2); + bn_wexpand(&dest->b, (dest->poly[0] + BN_BITS2 - 1) / BN_BITS2); + for (i = dest->a.top; i < dest->a.dmax; i++) dest->a.d[i] = 0; + for (i = dest->b.top; i < dest->b.dmax; i++) dest->b.d[i] = 0; + return 1; + } + + +/* Set the curve parameters of an EC_GROUP structure. */ +int ec_GF2m_simple_group_set_curve_GF2m(EC_GROUP *group, + const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + int ret = 0, i; + + /* group->field */ + if (!BN_copy(&group->field, p)) goto err; + i = BN_GF2m_poly2arr(&group->field, group->poly, 5); + if ((i != 5) && (i != 3)) goto err; + + /* group->a */ + if (!BN_GF2m_mod_arr(&group->a, a, group->poly)) goto err; + bn_wexpand(&group->a, (group->poly[0] + BN_BITS2 - 1) / BN_BITS2); + for (i = group->a.top; i < group->a.dmax; i++) group->a.d[i] = 0; + + /* group->b */ + if (!BN_GF2m_mod_arr(&group->b, b, group->poly)) goto err; + bn_wexpand(&group->b, (group->poly[0] + BN_BITS2 - 1) / BN_BITS2); + for (i = group->b.top; i < group->b.dmax; i++) group->b.d[i] = 0; + + ret = 1; + err: + return ret; + } + + +/* Get the curve parameters of an EC_GROUP structure. + * If p, a, or b are NULL then there values will not be set but the method will return with success. + */ +int ec_GF2m_simple_group_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx) + { + int ret = 0; + + if (p != NULL) + { + if (!BN_copy(p, &group->field)) return 0; + } + + if (a != NULL || b != NULL) + { + if (a != NULL) + { + if (!BN_copy(a, &group->a)) goto err; + } + if (b != NULL) + { + if (!BN_copy(b, &group->b)) goto err; + } + } + + ret = 1; + + err: + return ret; + } + + +/* Gets the degree of the field. For a curve over GF(2^m) this is the value m. */ +int ec_GF2m_simple_group_get_degree(const EC_GROUP *group) + { + return BN_num_bits(&group->field)-1; + } + + +/* Checks the discriminant of the curve. + * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p) + */ +int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx) + { + int ret = 0; + BIGNUM *b; + BN_CTX *new_ctx = NULL; + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + { + ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT, ERR_R_MALLOC_FAILURE); + goto err; + } + } + BN_CTX_start(ctx); + b = BN_CTX_get(ctx); + if (b == NULL) goto err; + + if (!BN_GF2m_mod_arr(b, &group->b, group->poly)) goto err; + + /* check the discriminant: + * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p) + */ + if (BN_is_zero(b)) goto err; + + ret = 1; + +err: + BN_CTX_end(ctx); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return ret; + } + + +/* Initializes an EC_POINT. */ +int ec_GF2m_simple_point_init(EC_POINT *point) + { + BN_init(&point->X); + BN_init(&point->Y); + BN_init(&point->Z); + return 1; + } + + +/* Frees an EC_POINT. */ +void ec_GF2m_simple_point_finish(EC_POINT *point) + { + BN_free(&point->X); + BN_free(&point->Y); + BN_free(&point->Z); + } + + +/* Clears and frees an EC_POINT. */ +void ec_GF2m_simple_point_clear_finish(EC_POINT *point) + { + BN_clear_free(&point->X); + BN_clear_free(&point->Y); + BN_clear_free(&point->Z); + point->Z_is_one = 0; + } + + +/* Copy the contents of one EC_POINT into another. Assumes dest is initialized. */ +int ec_GF2m_simple_point_copy(EC_POINT *dest, const EC_POINT *src) + { + if (!BN_copy(&dest->X, &src->X)) return 0; + if (!BN_copy(&dest->Y, &src->Y)) return 0; + if (!BN_copy(&dest->Z, &src->Z)) return 0; + dest->Z_is_one = src->Z_is_one; + + return 1; + } + + +/* Set an EC_POINT to the point at infinity. + * A point at infinity is represented by having Z=0. + */ +int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *group, EC_POINT *point) + { + point->Z_is_one = 0; + return (BN_zero(&point->Z)); + } + + +/* Set the coordinates of an EC_POINT using affine coordinates. + * Note that the simple implementation only uses affine coordinates. + */ +int ec_GF2m_simple_point_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point, + const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx) + { + int ret = 0; + if (x == NULL || y == NULL) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_PASSED_NULL_PARAMETER); + return 0; + } + + if (!BN_copy(&point->X, x)) goto err; + if (!BN_copy(&point->Y, y)) goto err; + if (!BN_copy(&point->Z, BN_value_one())) goto err; + point->Z_is_one = 1; + ret = 1; + + err: + return ret; + } + + +/* Gets the affine coordinates of an EC_POINT. + * Note that the simple implementation only uses affine coordinates. + */ +int ec_GF2m_simple_point_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point, + BIGNUM *x, BIGNUM *y, BN_CTX *ctx) + { + int ret = 0; + + if (EC_POINT_is_at_infinity(group, point)) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_POINT_AT_INFINITY); + return 0; + } + + if (BN_cmp(&point->Z, BN_value_one())) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + if (x != NULL) + { + if (!BN_copy(x, &point->X)) goto err; + } + if (y != NULL) + { + if (!BN_copy(y, &point->Y)) goto err; + } + ret = 1; + + err: + return ret; + } + + +/* Include patented algorithms. */ +#include "ec2_smpt.c" + + +/* Converts an EC_POINT to an octet string. + * If buf is NULL, the encoded length will be returned. + * If the length len of buf is smaller than required an error will be returned. + * + * The point compression section of this function is patented by Certicom Corp. + * under US Patent 6,141,420. Point compression is disabled by default and can + * be enabled by defining the preprocessor macro OPENSSL_EC_BIN_PT_COMP at + * Configure-time. + */ +size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form, + unsigned char *buf, size_t len, BN_CTX *ctx) + { + size_t ret; + BN_CTX *new_ctx = NULL; + int used_ctx = 0; + BIGNUM *x, *y, *yxi; + size_t field_len, i, skip; + +#ifndef OPENSSL_EC_BIN_PT_COMP + if ((form == POINT_CONVERSION_COMPRESSED) || (form == POINT_CONVERSION_HYBRID)) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_DISABLED); + goto err; + } +#endif + + if ((form != POINT_CONVERSION_COMPRESSED) + && (form != POINT_CONVERSION_UNCOMPRESSED) + && (form != POINT_CONVERSION_HYBRID)) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); + goto err; + } + + if (EC_POINT_is_at_infinity(group, point)) + { + /* encodes to a single 0 octet */ + if (buf != NULL) + { + if (len < 1) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); + return 0; + } + buf[0] = 0; + } + return 1; + } + + + /* ret := required output buffer length */ + field_len = (EC_GROUP_get_degree(group) + 7) / 8; + ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len; + + /* if 'buf' is NULL, just return required length */ + if (buf != NULL) + { + if (len < ret) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); + goto err; + } + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return 0; + } + + BN_CTX_start(ctx); + used_ctx = 1; + x = BN_CTX_get(ctx); + y = BN_CTX_get(ctx); + yxi = BN_CTX_get(ctx); + if (yxi == NULL) goto err; + + if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; + + buf[0] = form; +#ifdef OPENSSL_EC_BIN_PT_COMP + if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) + { + if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err; + if (BN_is_odd(yxi)) buf[0]++; + } +#endif + + i = 1; + + skip = field_len - BN_num_bytes(x); + if (skip > field_len) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); + goto err; + } + while (skip > 0) + { + buf[i++] = 0; + skip--; + } + skip = BN_bn2bin(x, buf + i); + i += skip; + if (i != 1 + field_len) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); + goto err; + } + + if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID) + { + skip = field_len - BN_num_bytes(y); + if (skip > field_len) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); + goto err; + } + while (skip > 0) + { + buf[i++] = 0; + skip--; + } + skip = BN_bn2bin(y, buf + i); + i += skip; + } + + if (i != ret) + { + ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); + goto err; + } + } + + if (used_ctx) + BN_CTX_end(ctx); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return ret; + + err: + if (used_ctx) + BN_CTX_end(ctx); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return 0; + } + + +/* Converts an octet string representation to an EC_POINT. + * Note that the simple implementation only uses affine coordinates. + */ +int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point, + const unsigned char *buf, size_t len, BN_CTX *ctx) + { + point_conversion_form_t form; + int y_bit; + BN_CTX *new_ctx = NULL; + BIGNUM *x, *y, *yxi; + size_t field_len, enc_len; + int ret = 0; + + if (len == 0) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); + return 0; + } + form = buf[0]; + y_bit = form & 1; + form = form & ~1; + if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) + && (form != POINT_CONVERSION_UNCOMPRESSED) + && (form != POINT_CONVERSION_HYBRID)) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); + return 0; + } + if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); + return 0; + } + + if (form == 0) + { + if (len != 1) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); + return 0; + } + + return EC_POINT_set_to_infinity(group, point); + } + + field_len = (EC_GROUP_get_degree(group) + 7) / 8; + enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len; + + if (len != enc_len) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); + return 0; + } + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return 0; + } + + BN_CTX_start(ctx); + x = BN_CTX_get(ctx); + y = BN_CTX_get(ctx); + yxi = BN_CTX_get(ctx); + if (yxi == NULL) goto err; + + if (!BN_bin2bn(buf + 1, field_len, x)) goto err; + if (BN_ucmp(x, &group->field) >= 0) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); + goto err; + } + + if (form == POINT_CONVERSION_COMPRESSED) + { + if (!EC_POINT_set_compressed_coordinates_GF2m(group, point, x, y_bit, ctx)) goto err; + } + else + { + if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err; + if (BN_ucmp(y, &group->field) >= 0) + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); + 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; + } + } + + if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; + } + + if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */ + { + ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); + goto err; + } + + ret = 1; + + err: + BN_CTX_end(ctx); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return ret; + } + + +/* Computes a + b and stores the result in r. r could be a or b, a could be b. + * Uses algorithm A.10.2 of IEEE P1363. + */ +int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx) + { + BN_CTX *new_ctx = NULL; + BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t; + int ret = 0; + + if (EC_POINT_is_at_infinity(group, a)) + { + if (!EC_POINT_copy(r, b)) return 0; + return 1; + } + + if (EC_POINT_is_at_infinity(group, b)) + { + if (!EC_POINT_copy(r, a)) return 0; + return 1; + } + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return 0; + } + + BN_CTX_start(ctx); + x0 = BN_CTX_get(ctx); + y0 = BN_CTX_get(ctx); + x1 = BN_CTX_get(ctx); + y1 = BN_CTX_get(ctx); + x2 = BN_CTX_get(ctx); + y2 = BN_CTX_get(ctx); + s = BN_CTX_get(ctx); + t = BN_CTX_get(ctx); + if (t == NULL) goto err; + + if (a->Z_is_one) + { + if (!BN_copy(x0, &a->X)) goto err; + if (!BN_copy(y0, &a->Y)) goto err; + } + else + { + if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx)) goto err; + } + if (b->Z_is_one) + { + if (!BN_copy(x1, &b->X)) goto err; + if (!BN_copy(y1, &b->Y)) goto err; + } + else + { + if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx)) goto err; + } + + + if (BN_GF2m_cmp(x0, x1)) + { + if (!BN_GF2m_add(t, x0, x1)) goto err; + if (!BN_GF2m_add(s, y0, y1)) goto err; + if (!group->meth->field_div(group, s, s, t, ctx)) goto err; + if (!group->meth->field_sqr(group, x2, s, ctx)) goto err; + if (!BN_GF2m_add(x2, x2, &group->a)) goto err; + if (!BN_GF2m_add(x2, x2, s)) goto err; + if (!BN_GF2m_add(x2, x2, t)) goto err; + } + else + { + if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1)) + { + if (!EC_POINT_set_to_infinity(group, r)) goto err; + ret = 1; + goto err; + } + if (!group->meth->field_div(group, s, y1, x1, ctx)) goto err; + if (!BN_GF2m_add(s, s, x1)) goto err; + + if (!group->meth->field_sqr(group, x2, s, ctx)) goto err; + if (!BN_GF2m_add(x2, x2, s)) goto err; + if (!BN_GF2m_add(x2, x2, &group->a)) goto err; + } + + if (!BN_GF2m_add(y2, x1, x2)) goto err; + if (!group->meth->field_mul(group, y2, y2, s, ctx)) goto err; + if (!BN_GF2m_add(y2, y2, x2)) goto err; + if (!BN_GF2m_add(y2, y2, y1)) goto err; + + if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx)) goto err; + + ret = 1; + + err: + BN_CTX_end(ctx); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return ret; + } + + +/* Computes 2 * a and stores the result in r. r could be a. + * Uses algorithm A.10.2 of IEEE P1363. + */ +int ec_GF2m_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx) + { + return ec_GF2m_simple_add(group, r, a, a, ctx); + } + + +int ec_GF2m_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) + { + if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y)) + /* point is its own inverse */ + return 1; + + if (!EC_POINT_make_affine(group, point, ctx)) return 0; + return BN_GF2m_add(&point->Y, &point->X, &point->Y); + } + + +/* Indicates whether the given point is the point at infinity. */ +int ec_GF2m_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) + { + return BN_is_zero(&point->Z); + } + + +/* Determines whether the given EC_POINT is an actual point on the curve defined + * in the EC_GROUP. A point is valid if it satisfies the Weierstrass equation: + * y^2 + x*y = x^3 + a*x^2 + b. + */ +int ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx) + { + BN_CTX *new_ctx = NULL; + BIGNUM *rh, *lh, *tmp1; + int ret = -1; + + if (EC_POINT_is_at_infinity(group, point)) + return 1; + + /* only support affine coordinates */ + if (!point->Z_is_one) goto err; + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return -1; + } + + BN_CTX_start(ctx); + rh = BN_CTX_get(ctx); + lh = BN_CTX_get(ctx); + tmp1 = BN_CTX_get(ctx); + if (tmp1 == NULL) goto err; + + /* We have a curve defined by a Weierstrass equation + * y^2 + x*y = x^3 + a*x^2 + b. + * To test this, we add up the right-hand side in 'rh' + * and the left-hand side in 'lh'. + */ + + /* rh := X^3 */ + if (!group->meth->field_sqr(group, tmp1, &point->X, ctx)) goto err; + if (!group->meth->field_mul(group, rh, tmp1, &point->X, ctx)) goto err; + + /* rh := rh + a*X^2 */ + if (!group->meth->field_mul(group, tmp1, tmp1, &group->a, ctx)) goto err; + if (!BN_GF2m_add(rh, rh, tmp1)) goto err; + + /* rh := rh + b */ + if (!BN_GF2m_add(rh, rh, &group->b)) goto err; + + /* lh := Y^2 */ + if (!group->meth->field_sqr(group, lh, &point->Y, ctx)) goto err; + + /* lh := lh + x*y */ + if (!group->meth->field_mul(group, tmp1, &point->X, &point->Y, ctx)) goto err; + if (!BN_GF2m_add(lh, lh, tmp1)) goto err; + + ret = (0 == BN_GF2m_cmp(lh, rh)); + + err: + if (ctx) BN_CTX_end(ctx); + if (new_ctx) BN_CTX_free(new_ctx); + return ret; + } + + +/* Indicates whether two points are equal. + * Return values: + * -1 error + * 0 equal (in affine coordinates) + * 1 not equal + */ +int ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx) + { + BIGNUM *aX, *aY, *bX, *bY; + BN_CTX *new_ctx = NULL; + int ret = -1; + + if (EC_POINT_is_at_infinity(group, a)) + { + return EC_POINT_is_at_infinity(group, b) ? 0 : 1; + } + + if (a->Z_is_one && b->Z_is_one) + { + return ((BN_cmp(&a->X, &b->X) == 0) && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1; + } + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return -1; + } + + BN_CTX_start(ctx); + aX = BN_CTX_get(ctx); + aY = BN_CTX_get(ctx); + bX = BN_CTX_get(ctx); + bY = BN_CTX_get(ctx); + if (bY == NULL) goto err; + + if (!EC_POINT_get_affine_coordinates_GF2m(group, a, aX, aY, ctx)) goto err; + if (!EC_POINT_get_affine_coordinates_GF2m(group, b, bX, bY, ctx)) goto err; + ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1; + + err: + if (ctx) BN_CTX_end(ctx); + if (new_ctx) BN_CTX_free(new_ctx); + return ret; + } + + +/* Forces the given EC_POINT to internally use affine coordinates. */ +int ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) + { + BN_CTX *new_ctx = NULL; + BIGNUM *x, *y; + int ret = 0; + + if (point->Z_is_one || EC_POINT_is_at_infinity(group, point)) + return 1; + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return 0; + } + + BN_CTX_start(ctx); + x = BN_CTX_get(ctx); + y = BN_CTX_get(ctx); + if (y == NULL) goto err; + + if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; + if (!BN_copy(&point->X, x)) goto err; + if (!BN_copy(&point->Y, y)) goto err; + if (!BN_one(&point->Z)) goto err; + + ret = 1; + + err: + if (ctx) BN_CTX_end(ctx); + if (new_ctx) BN_CTX_free(new_ctx); + return ret; + } + + +/* Forces each of the EC_POINTs in the given array to use affine coordinates. */ +int ec_GF2m_simple_points_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx) + { + size_t i; + + for (i = 0; i < num; i++) + { + if (!group->meth->make_affine(group, points[i], ctx)) return 0; + } + + return 1; + } + + +/* Wrapper to simple binary polynomial field multiplication implementation. */ +int ec_GF2m_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + return BN_GF2m_mod_mul_arr(r, a, b, group->poly, ctx); + } + + +/* Wrapper to simple binary polynomial field squaring implementation. */ +int ec_GF2m_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) + { + return BN_GF2m_mod_sqr_arr(r, a, group->poly, ctx); + } + + +/* Wrapper to simple binary polynomial field division implementation. */ +int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + return BN_GF2m_mod_div(r, a, b, &group->field, ctx); + } diff --git a/crypto/ec/ec2_smpt.c b/crypto/ec/ec2_smpt.c new file mode 100644 index 0000000000..d569c22ae0 --- /dev/null +++ b/crypto/ec/ec2_smpt.c @@ -0,0 +1,125 @@ +/* crypto/ec/ec2_smpt.c */ +/* This code was originally written by Douglas Stebila + * for the OpenSSL project. + */ +/* ==================================================================== + * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * + * 3. All advertising materials mentioning features or use of this + * software must display the following acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" + * + * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to + * endorse or promote products derived from this software without + * prior written permission. For written permission, please contact + * openssl-core@openssl.org. + * + * 5. Products derived from this software may not be called "OpenSSL" + * nor may "OpenSSL" appear in their names without prior written + * permission of the OpenSSL Project. + * + * 6. Redistributions of any form whatsoever must retain the following + * acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit (http://www.openssl.org/)" + * + * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY + * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR + * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * ==================================================================== + * + * This product includes cryptographic software written by Eric Young + * (eay@cryptsoft.com). This product includes software written by Tim + * Hudson (tjh@cryptsoft.com). + * + */ + + +/* Calaculates and sets the affine coordinates of an EC_POINT from the given + * compressed coordinates. Uses algorithm 2.3.4 of SEC 1. + * Note that the simple implementation only uses affine coordinates. + * + * This algorithm is patented by Certicom Corp. under US Patent 6,141,420. + * This function is disabled by default and can be enabled by defining the + * preprocessor macro OPENSSL_EC_BIN_PT_COMP at Configure-time. + */ +int ec_GF2m_simple_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point, + const BIGNUM *x_, int y_bit, BN_CTX *ctx) + { +#ifndef OPENSSL_EC_BIN_PT_COMP + ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_DISABLED); + return 0; +#else + BN_CTX *new_ctx = NULL; + BIGNUM *tmp, *x, *y, *z; + int ret = 0, z0; + + if (ctx == NULL) + { + ctx = new_ctx = BN_CTX_new(); + if (ctx == NULL) + return 0; + } + + y_bit = (y_bit != 0) ? 1 : 0; + + BN_CTX_start(ctx); + tmp = BN_CTX_get(ctx); + x = BN_CTX_get(ctx); + y = BN_CTX_get(ctx); + z = BN_CTX_get(ctx); + if (z == NULL) goto err; + + if (!BN_GF2m_mod_arr(x, x_, group->poly)) goto err; + if (BN_is_zero(x)) + { + if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) goto err; + } + else + { + if (!group->meth->field_sqr(group, tmp, x, ctx)) goto err; + if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) goto err; + if (!BN_GF2m_add(tmp, &group->a, tmp)) goto err; + if (!BN_GF2m_add(tmp, x, tmp)) goto err; + if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) goto err; + z0 = (BN_is_odd(z)) ? 1 : 0; + if (!group->meth->field_mul(group, y, x, z, ctx)) goto err; + if (z0 != y_bit) + { + if (!BN_GF2m_add(y, y, x)) goto err; + } + } + + if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; + + ret = 1; + + err: + BN_CTX_end(ctx); + if (new_ctx != NULL) + BN_CTX_free(new_ctx); + return ret; +#endif + } diff --git a/crypto/ec/ec_curve.c b/crypto/ec/ec_curve.c index a2fed3d603..55ce45d8cf 100644 --- a/crypto/ec/ec_curve.c +++ b/crypto/ec/ec_curve.c @@ -52,6 +52,32 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the Contribution as delivered hereunder + * (or portions thereof), provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the Contribution; + * 2) separates from the Contribution; or + * 3) for infringements caused by: + * i) the modification of the Contribution or + * ii) the combination of the Contribution with other software or + * devices where such combination causes the infringement. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ #include "ec_lcl.h" #include @@ -191,12 +217,6 @@ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",0,\ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1 /* some wap/wtls curves */ -#define _EC_GROUP_WTLS_6 \ - "DB7C2ABF62E35E668076BEAD208B",\ - "DB7C2ABF62E35E668076BEAD2088",\ - "659EF8BA043916EEDE8911702B22",\ - "09487239995A5EE76B55F9C2F098",0,\ - "DB7C2ABF62E35E7628DFAC6561C5",1 #define _EC_GROUP_WTLS_8 \ "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",\ "0",\ @@ -209,6 +229,264 @@ "3",\ "1",0,\ "0100000000000000000001CDC98AE0E2DE574ABF33",1 +#define _EC_GROUP_WTLS_12 \ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", \ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", \ + "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", \ + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 0, \ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1 + +/* #define _EC_GROUP_EXAMPLE_CHAR2_CURVE \ + * "prime polynomial", "a", "b", "base point x-coord", "base point y-coord", "order", "cofactor" + */ +#define _EC_GROUP_SECG_CHAR2_113R1 \ + "020000000000000000000000000201", \ + "003088250CA6E7C7FE649CE85820F7", \ + "00E8BEE4D3E2260744188BE0E9C723", \ + "009D73616F35F4AB1407D73562C10F", \ + "00A52830277958EE84D1315ED31886", \ + "0100000000000000D9CCEC8A39E56F", 2 +#define _EC_GROUP_SECG_CHAR2_113R2 \ + "020000000000000000000000000201", \ + "00689918DBEC7E5A0DD6DFC0AA55C7", \ + "0095E9A9EC9B297BD4BF36E059184F", \ + "01A57A6A7B26CA5EF52FCDB8164797", \ + "00B3ADC94ED1FE674C06E695BABA1D", \ + "010000000000000108789B2496AF93", 2 +#define _EC_GROUP_SECG_CHAR2_131R1 \ + "080000000000000000000000000000010D", \ + "07A11B09A76B562144418FF3FF8C2570B8", \ + "0217C05610884B63B9C6C7291678F9D341", \ + "0081BAF91FDF9833C40F9C181343638399", \ + "078C6E7EA38C001F73C8134B1B4EF9E150", \ + "0400000000000000023123953A9464B54D", 2 +#define _EC_GROUP_SECG_CHAR2_131R2 \ + "080000000000000000000000000000010D", \ + "03E5A88919D7CAFCBF415F07C2176573B2", \ + "04B8266A46C55657AC734CE38F018F2192", \ + "0356DCD8F2F95031AD652D23951BB366A8", \ + "0648F06D867940A5366D9E265DE9EB240F", \ + "0400000000000000016954A233049BA98F", 2 +#define _EC_GROUP_SECG_CHAR2_163K1 \ + "0800000000000000000000000000000000000000C9", \ + "1", \ + "1", \ + "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", \ + "0289070FB05D38FF58321F2E800536D538CCDAA3D9", \ + "04000000000000000000020108A2E0CC0D99F8A5EF", 2 +#define _EC_GROUP_SECG_CHAR2_163R1 \ + "0800000000000000000000000000000000000000C9", \ + "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", \ + "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", \ + "0369979697AB43897789566789567F787A7876A654", \ + "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", \ + "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2 +#define _EC_GROUP_SECG_CHAR2_163R2 \ + "0800000000000000000000000000000000000000C9", \ + "1", \ + "020A601907B8C953CA1481EB10512F78744A3205FD", \ + "03F0EBA16286A2D57EA0991168D4994637E8343E36", \ + "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", \ + "040000000000000000000292FE77E70C12A4234C33", 2 +#define _EC_GROUP_SECG_CHAR2_193R1 \ + "02000000000000000000000000000000000000000000008001", \ + "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", \ + "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", \ + "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", \ + "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", \ + "01000000000000000000000000C7F34A778F443ACC920EBA49", 2 +#define _EC_GROUP_SECG_CHAR2_193R2 \ + "02000000000000000000000000000000000000000000008001", \ + "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", \ + "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", \ + "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", \ + "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", \ + "010000000000000000000000015AAB561B005413CCD4EE99D5", 2 +#define _EC_GROUP_SECG_CHAR2_233K1 \ + "020000000000000000000000000000000000000004000000000000000001", \ + "0", \ + "1", \ + "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", \ + "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", \ + "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4 +#define _EC_GROUP_SECG_CHAR2_233R1 \ + "020000000000000000000000000000000000000004000000000000000001", \ + "000000000000000000000000000000000000000000000000000000000001", \ + "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", \ + "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", \ + "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", \ + "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2 +#define _EC_GROUP_SECG_CHAR2_239K1 \ + "800000000000000000004000000000000000000000000000000000000001", \ + "0", \ + "1", \ + "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", \ + "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", \ + "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4 +#define _EC_GROUP_SECG_CHAR2_283K1 \ + "0800000000000000000000000000000000000000000000000000000000000000000010A1", \ + "0", \ + "1", \ + "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", \ + "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", \ + "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 4 +#define _EC_GROUP_SECG_CHAR2_283R1 \ + "0800000000000000000000000000000000000000000000000000000000000000000010A1", \ + "000000000000000000000000000000000000000000000000000000000000000000000001", \ + "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", \ + "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", \ + "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", \ + "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 2 +#define _EC_GROUP_SECG_CHAR2_409K1 \ + "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \ + "0", \ + "1", \ + "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", \ + "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", \ + "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4 + +#define _EC_GROUP_SECG_CHAR2_409R1 \ + "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \ + "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \ + "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", \ + "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", \ + "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", \ + "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 2 +#define _EC_GROUP_SECG_CHAR2_571K1 \ + "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \ + "0", \ + "1", \ + "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", \ + "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", \ + "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 4 +#define _EC_GROUP_SECG_CHAR2_571R1 \ + "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \ + "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \ + "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", \ + "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", \ + "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", \ + "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 2 + +#define _EC_GROUP_X9_62_CHAR2_163V1 \ + "0800000000000000000000000000000000000000C9", \ + "072546B5435234A422E0789675F432C89435DE5242", \ + "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", \ + "07AF69989546103D79329FCC3D74880F33BBE803CB", \ + "0190C402D65BCC2B845337BC52352774E879B94B0D", \ + "0400000000000000000001E60FC8821CC74DAEAFC1", 2 +#define _EC_GROUP_X9_62_CHAR2_163V2 \ + "0800000000000000000000000000000000000000C9", \ + "0108B39E77C4B108BED981ED0E890E117C511CF072", \ + "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", \ + "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", \ + "01F64F1C0280E19A062003DBAECEAEDEC1CE141D41", \ + "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2 +#define _EC_GROUP_X9_62_CHAR2_163V3 \ + "0800000000000000000000000000000000000000C9", \ + "07A526C63D3E25A256A007699F5447E32AE456B50E", \ + "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", \ + "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", \ + "01D42417D750A363F61E455807D047059CA039ACFE", \ + "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2 +#define _EC_GROUP_X9_62_CHAR2_176V1 \ + "0100000000000000000000000000000000080000000007", \ + "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", \ + "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", \ + "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", \ + "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", \ + "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E +#define _EC_GROUP_X9_62_CHAR2_191V1 \ + "800000000000000000000000000000000000000000000201", \ + "2866537B676752636A68F56554E12640276B649EF7526267", \ + "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", \ + "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", \ + "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", \ + "40000000000000000000000004A20E90C39067C893BBB9A5", 2 +#define _EC_GROUP_X9_62_CHAR2_191V2 \ + "800000000000000000000000000000000000000000000201", \ + "401028774D7777C7B7666D1366EA432071274F89FF01E718", \ + "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", \ + "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", \ + "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", \ + "20000000000000000000000050508CB89F652824E06B8173", 4 +#define _EC_GROUP_X9_62_CHAR2_191V3 \ + "800000000000000000000000000000000000000000000201", \ + "6C01074756099122221056911C77D77E77A777E7E7E77FCB", \ + "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", \ + "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", \ + "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", \ + "155555555555555555555555610C0B196812BFB6288A3EA3", 6 +#define _EC_GROUP_X9_62_CHAR2_208W1 \ + "010000000000000000000000000000000800000000000000000007", \ + "0000000000000000000000000000000000000000000000000000", \ + "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", \ + "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", \ + "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", \ + "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48 +#define _EC_GROUP_X9_62_CHAR2_239V1 \ + "800000000000000000000000000000000000000000000000001000000001", \ + "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", \ + "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", \ + "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", \ + "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", \ + "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4 +#define _EC_GROUP_X9_62_CHAR2_239V2 \ + "800000000000000000000000000000000000000000000000001000000001", \ + "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", \ + "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", \ + "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", \ + "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", \ + "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6 +#define _EC_GROUP_X9_62_CHAR2_239V3 \ + "800000000000000000000000000000000000000000000000001000000001", \ + "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", \ + "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", \ + "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", \ + "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", \ + "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA +#define _EC_GROUP_X9_62_CHAR2_272W1 \ + "010000000000000000000000000000000000000000000000000000010000000000000B", \ + "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", \ + "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", \ + "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", \ + "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", \ + "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 0xFF06 +#define _EC_GROUP_X9_62_CHAR2_304W1 \ + "010000000000000000000000000000000000000000000000000000000000000000000000000807", \ + "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A0396C8E681", \ + "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E55827340BE", \ + "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F740A2614", \ + "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1B92C03B", \ + "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164443051D", 0xFE2E +#define _EC_GROUP_X9_62_CHAR2_359V1 \ + "800000000000000000000000000000000000000000000000000000000000000000000000100000000000000001", \ + "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05656FB549016A96656A557", \ + "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC345626089687742B6329E70680231988", \ + "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE98E8E707C07A2239B1B097", \ + "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E4AE2DE211305A407104BD", \ + "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB964FE7719E74F490758D3B", 0x4C +#define _EC_GROUP_X9_62_CHAR2_368W1 \ + "0100000000000000000000000000000000000000000000000000000000000000000000002000000000000000000007", \ + "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62F0AB7519CCD2A1A906AE30D", \ + "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112D84D164F444F8F74786046A", \ + "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E789E927BE216F02E1FB136A5F", \ + "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855ADAA81E2A0750B80FDA2310", \ + "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E909AE40A6F131E9CFCE5BD967", 0xFF70 +#define _EC_GROUP_X9_62_CHAR2_431R1 \ + "800000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001", \ + "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0EB9906D0957F6C6FEACD615468DF104DE296CD8F", \ + "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B626D4E50A8DD731B107A9962381FB5D807BF2618", \ + "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C21E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", \ + "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", \ + "0340340340340340340340340340340340340340340340340340340323C313FAB50589703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760 + +#define _EC_GROUP_WTLS_1 \ + "020000000000000000000000000201", \ + "1", \ + "1", \ + "01667979A40BA497E5D5C270780617", \ + "00F44B4AF1ECC2630E08785CEBCC15", \ + "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2 static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in, const char *a_in, const char *b_in, @@ -256,6 +534,54 @@ err: return(group); } +static EC_GROUP *ec_group_new_GF2m_from_hex(const char *prime_in, + const char *a_in, const char *b_in, + const char *x_in, const char *y_in, const char *order_in, const BN_ULONG cofac_in) + { + EC_GROUP *group=NULL; + EC_POINT *P=NULL; + BN_CTX *ctx=NULL; + BIGNUM *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*y=NULL,*order=NULL; + int ok=0; + + if ((ctx = BN_CTX_new()) == NULL) goto bn_err; + if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL || + (x = BN_new()) == NULL || (y = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err; + + if (!BN_hex2bn(&prime, prime_in)) goto bn_err; + if (!BN_hex2bn(&a, a_in)) goto bn_err; + if (!BN_hex2bn(&b, b_in)) goto bn_err; + + if ((group = EC_GROUP_new_curve_GF2m(prime, a, b, ctx)) == NULL) goto err; + if ((P = EC_POINT_new(group)) == NULL) goto err; + + if (!BN_hex2bn(&x, x_in)) goto bn_err; + if (!BN_hex2bn(&y, y_in)) goto bn_err; + if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) goto err; + if (!BN_hex2bn(&order, order_in)) goto bn_err; + if (!BN_set_word(x, cofac_in)) goto bn_err; + if (!EC_GROUP_set_generator(group, P, order, x)) goto err; + ok=1; +bn_err: + if (!ok) + ECerr(EC_F_EC_GROUP_NEW_GF2M_FROM_HEX, ERR_R_BN_LIB); +err: + if (!ok) + { + EC_GROUP_free(group); + group = NULL; + } + if (P) EC_POINT_free(P); + if (ctx) BN_CTX_free(ctx); + if (prime) BN_free(prime); + if (a) BN_free(a); + if (b) BN_free(b); + if (order) BN_free(order); + if (x) BN_free(x); + if (y) BN_free(y); + return(group); + } + EC_GROUP *EC_GROUP_new_by_name(int name) { EC_GROUP *ret = NULL; @@ -263,86 +589,272 @@ EC_GROUP *EC_GROUP_new_by_name(int name) { case EC_GROUP_NO_CURVE: return NULL; - /* some nist curves */ - case EC_GROUP_NIST_PRIME_224: /* EC_GROUP_NIST_PRIME_224 == EC_GROUP_SECG_PRIME_224R1 */ - ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224); - break; - case EC_GROUP_NIST_PRIME_384: /* EC_GROUP_NIST_PRIME_384 == EC_GROUP_SECG_PRIME_384R1 */ - ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384); + /* prime field curves */ + /* prime field curves of degree 112 */ + case EC_GROUP_SECG_PRIME_112R1: + case EC_GROUP_WTLS_6: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1); break; - - case EC_GROUP_NIST_PRIME_521: /* EC_GROUP_NIST_PRIME_521 == EC_GROUP_SECG_PRIME_521R1 */ - ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521); + + case EC_GROUP_SECG_PRIME_112R2: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2); + break; + + case EC_GROUP_WTLS_8: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8); + break; + + /* prime field curves of degree 128 */ + case EC_GROUP_SECG_PRIME_128R1: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1); break; - /* x9.62 prime curves */ + + case EC_GROUP_SECG_PRIME_128R2: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2); + break; + + /* prime field curves of degree 160 */ + case EC_GROUP_SECG_PRIME_160K1: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1); + break; + + case EC_GROUP_SECG_PRIME_160R1: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1); + break; + + case EC_GROUP_SECG_PRIME_160R2: + case EC_GROUP_WTLS_7: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2); + break; + + case EC_GROUP_WTLS_9: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9); + break; + + /* prime field curves of degree 192 */ + case EC_GROUP_SECG_PRIME_192K1: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1); + break; + case EC_GROUP_X9_62_PRIME_192V1: /* == EC_GROUP_NIST_PRIME_192 == EC_GROUP_SECG_PRIME_192R1 */ ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_192); break; - + case EC_GROUP_X9_62_PRIME_192V2: ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V2); break; - + case EC_GROUP_X9_62_PRIME_192V3: ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V3); break; - + + /* prime field curves of degree 224 */ + case EC_GROUP_SECG_PRIME_224K1: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1); + break; + + case EC_GROUP_SECG_PRIME_224R1: /* == EC_GROUP_NIST_PRIME_224 */ + ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224); + break; + + case EC_GROUP_WTLS_12: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_12); + break; + + /* prime field curves of degree 239 */ case EC_GROUP_X9_62_PRIME_239V1: ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V1); break; - + case EC_GROUP_X9_62_PRIME_239V2: ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V2); break; - + case EC_GROUP_X9_62_PRIME_239V3: ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V3); break; - - case EC_GROUP_X9_62_PRIME_256V1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_SECG_PRIME_256R1 */ + + /* prime field curves of degree 256 */ + case EC_GROUP_SECG_PRIME_256K1: + ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1); + break; + + case EC_GROUP_SECG_PRIME_256R1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_X9_62_PRIME_256V1 */ ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_256V1); break; - /* the remaining secg curves */ - case EC_GROUP_SECG_PRIME_112R1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1); + + /* prime field curves of degree 384 */ + case EC_GROUP_SECG_PRIME_384R1: /* == EC_GROUP_NIST_PRIME_384 */ + ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384); break; - case EC_GROUP_SECG_PRIME_112R2: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2); + + /* prime field curves of degree 521 */ + case EC_GROUP_SECG_PRIME_521R1: /* == EC_GROUP_NIST_PRIME_521 */ + ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521); break; - case EC_GROUP_SECG_PRIME_128R1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1); + + /* characteristic two field curves */ + /* binary curves of degree 113 */ + case EC_GROUP_SECG_CHAR2_113R1: + case EC_GROUP_WTLS_4: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R1); break; - case EC_GROUP_SECG_PRIME_128R2: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2); + + case EC_GROUP_SECG_CHAR2_113R2: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R2); break; - case EC_GROUP_SECG_PRIME_160K1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1); + + case EC_GROUP_WTLS_1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_WTLS_1); break; - case EC_GROUP_SECG_PRIME_160R1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1); + + /* binary curves of degree 131 */ + case EC_GROUP_SECG_CHAR2_131R1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R1); break; - case EC_GROUP_SECG_PRIME_160R2: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2); + + case EC_GROUP_SECG_CHAR2_131R2: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R2); break; - case EC_GROUP_SECG_PRIME_192K1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1); + + /* binary curves of degree 163 */ + case EC_GROUP_SECG_CHAR2_163K1: /* == EC_GROUP_NIST_CHAR2_K163 */ + case EC_GROUP_WTLS_3: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163K1); break; - case EC_GROUP_SECG_PRIME_224K1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1); + + case EC_GROUP_SECG_CHAR2_163R1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R1); break; - case EC_GROUP_SECG_PRIME_256K1: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1); + + case EC_GROUP_SECG_CHAR2_163R2: /* == EC_GROUP_NIST_CHAR2_B163 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R2); break; - /* some wap/wtls curves */ - case EC_GROUP_WTLS_6: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_6); + + case EC_GROUP_X9_62_CHAR2_163V1: + case EC_GROUP_WTLS_5: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V1); break; - case EC_GROUP_WTLS_8: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8); + + case EC_GROUP_X9_62_CHAR2_163V2: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V2); break; - case EC_GROUP_WTLS_9: - ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9); + + case EC_GROUP_X9_62_CHAR2_163V3: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V3); + break; + + /* binary curves of degree 176 */ + case EC_GROUP_X9_62_CHAR2_176V1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_176V1); + break; + + /* binary curves of degree 191 */ + case EC_GROUP_X9_62_CHAR2_191V1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V1); + break; + + case EC_GROUP_X9_62_CHAR2_191V2: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V2); + break; + + case EC_GROUP_X9_62_CHAR2_191V3: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V3); + break; + + /* binary curves of degree 193 */ + case EC_GROUP_SECG_CHAR2_193R1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R1); + break; + + case EC_GROUP_SECG_CHAR2_193R2: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R2); + break; + + /* binary curves of degree 208 */ + case EC_GROUP_X9_62_CHAR2_208W1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_208W1); + break; + + /* binary curves of degree 233 */ + case EC_GROUP_SECG_CHAR2_233K1: /* == EC_GROUP_NIST_CHAR2_K233 */ + case EC_GROUP_WTLS_10: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233K1); + break; + + case EC_GROUP_SECG_CHAR2_233R1: /* == EC_GROUP_NIST_CHAR2_B233 */ + case EC_GROUP_WTLS_11: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233R1); + break; + + /* binary curves of degree 239 */ + case EC_GROUP_SECG_CHAR2_239K1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_239K1); + break; + + case EC_GROUP_X9_62_CHAR2_239V1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V1); + break; + + case EC_GROUP_X9_62_CHAR2_239V2: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V2); + break; + + case EC_GROUP_X9_62_CHAR2_239V3: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V3); + break; + + /* binary curves of degree 272 */ + case EC_GROUP_X9_62_CHAR2_272W1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_272W1); + break; + + /* binary curves of degree 283 */ + case EC_GROUP_SECG_CHAR2_283K1: /* == EC_GROUP_NIST_CHAR2_K283 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283K1); + break; + + case EC_GROUP_SECG_CHAR2_283R1: /* == EC_GROUP_NIST_CHAR2_B283 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283R1); + break; + + /* binary curves of degree 304 */ + case EC_GROUP_X9_62_CHAR2_304W1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_304W1); + break; + + /* binary curves of degree 359 */ + case EC_GROUP_X9_62_CHAR2_359V1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_359V1); + break; + + /* binary curves of degree 368 */ + case EC_GROUP_X9_62_CHAR2_368W1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_368W1); + break; + + /* binary curves of degree 409 */ + case EC_GROUP_SECG_CHAR2_409K1: /* == EC_GROUP_NIST_CHAR2_K409 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409K1); + break; + + case EC_GROUP_SECG_CHAR2_409R1: /* == EC_GROUP_NIST_CHAR2_B409 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409R1); + break; + + /* binary curves of degree 431 */ + case EC_GROUP_X9_62_CHAR2_431R1: + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_431R1); + break; + + /* binary curves of degree 571 */ + case EC_GROUP_SECG_CHAR2_571K1: /* == EC_GROUP_NIST_CHAR2_K571 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571K1); + break; + + case EC_GROUP_SECG_CHAR2_571R1: /* == EC_GROUP_NIST_CHAR2_B571 */ + ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571R1); break; } diff --git a/crypto/ec/ec_cvt.c b/crypto/ec/ec_cvt.c index 3daeb19509..01453a283c 100644 --- a/crypto/ec/ec_cvt.c +++ b/crypto/ec/ec_cvt.c @@ -52,6 +52,32 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the Contribution as delivered hereunder + * (or portions thereof), provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the Contribution; + * 2) separates from the Contribution; or + * 3) for infringements caused by: + * i) the modification of the Contribution or + * ii) the combination of the Contribution with other software or + * devices where such combination causes the infringement. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ #include "ec_lcl.h" @@ -78,3 +104,23 @@ EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM return ret; } + +EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + const EC_METHOD *meth; + EC_GROUP *ret; + + meth = EC_GF2m_simple_method(); + + ret = EC_GROUP_new(meth); + if (ret == NULL) + return NULL; + + if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx)) + { + EC_GROUP_clear_free(ret); + return NULL; + } + + return ret; + } diff --git a/crypto/ec/ec_err.c b/crypto/ec/ec_err.c index bb517d90ac..0bc0bfb1bd 100644 --- a/crypto/ec/ec_err.c +++ b/crypto/ec/ec_err.c @@ -78,6 +78,12 @@ static ERR_STRING_DATA EC_str_functs[]= {ERR_PACK(0,EC_F_EC_ASN1_GROUP2PKPARAMETERS,0), "EC_ASN1_group2pkparameters"}, {ERR_PACK(0,EC_F_EC_ASN1_PARAMETERS2GROUP,0), "EC_ASN1_PARAMETERS2GROUP"}, {ERR_PACK(0,EC_F_EC_ASN1_PKPARAMETERS2GROUP,0), "EC_ASN1_pkparameters2group"}, +{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT,0), "ec_GF2m_simple_group_check_discriminant"}, +{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_OCT2POINT,0), "ec_GF2m_simple_oct2point"}, +{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT2OCT,0), "ec_GF2m_simple_point2oct"}, +{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M,0), "ec_GF2m_simple_point_get_affine_coordinates_GF2m"}, +{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M,0), "ec_GF2m_simple_point_set_affine_coordinates_GF2m"}, +{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M,0), "ec_GF2m_simple_set_compressed_coordinates_GF2m"}, {ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_DECODE,0), "ec_GFp_mont_field_decode"}, {ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_ENCODE,0), "ec_GFp_mont_field_encode"}, {ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_MUL,0), "ec_GFp_mont_field_mul"}, @@ -97,15 +103,19 @@ static ERR_STRING_DATA EC_str_functs[]= {ERR_PACK(0,EC_F_EC_GROUP_COPY,0), "EC_GROUP_copy"}, {ERR_PACK(0,EC_F_EC_GROUP_GET0_GENERATOR,0), "EC_GROUP_get0_generator"}, {ERR_PACK(0,EC_F_EC_GROUP_GET_COFACTOR,0), "EC_GROUP_get_cofactor"}, +{ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GF2M,0), "EC_GROUP_get_curve_GF2m"}, {ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GFP,0), "EC_GROUP_get_curve_GFp"}, +{ERR_PACK(0,EC_F_EC_GROUP_GET_DEGREE,0), "EC_GROUP_get_degree"}, {ERR_PACK(0,EC_F_EC_GROUP_GET_EXTRA_DATA,0), "EC_GROUP_get_extra_data"}, {ERR_PACK(0,EC_F_EC_GROUP_GET_ORDER,0), "EC_GROUP_get_order"}, {ERR_PACK(0,EC_F_EC_GROUP_GROUP2NID,0), "EC_GROUP_GROUP2NID"}, {ERR_PACK(0,EC_F_EC_GROUP_NEW,0), "EC_GROUP_new"}, {ERR_PACK(0,EC_F_EC_GROUP_NEW_BY_NAME,0), "EC_GROUP_new_by_name"}, {ERR_PACK(0,EC_F_EC_GROUP_NEW_BY_NID,0), "EC_GROUP_new_by_nid"}, +{ERR_PACK(0,EC_F_EC_GROUP_NEW_GF2M_FROM_HEX,0), "EC_GROUP_NEW_GF2M_FROM_HEX"}, {ERR_PACK(0,EC_F_EC_GROUP_NEW_GFP_FROM_HEX,0), "EC_GROUP_NEW_GFP_FROM_HEX"}, {ERR_PACK(0,EC_F_EC_GROUP_PRECOMPUTE_MULT,0), "EC_GROUP_precompute_mult"}, +{ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GF2M,0), "EC_GROUP_set_curve_GF2m"}, {ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GFP,0), "EC_GROUP_set_curve_GFp"}, {ERR_PACK(0,EC_F_EC_GROUP_SET_EXTRA_DATA,0), "EC_GROUP_set_extra_data"}, {ERR_PACK(0,EC_F_EC_GROUP_SET_GENERATOR,0), "EC_GROUP_set_generator"}, @@ -115,18 +125,26 @@ static ERR_STRING_DATA EC_str_functs[]= {ERR_PACK(0,EC_F_EC_POINT_CMP,0), "EC_POINT_cmp"}, {ERR_PACK(0,EC_F_EC_POINT_COPY,0), "EC_POINT_copy"}, {ERR_PACK(0,EC_F_EC_POINT_DBL,0), "EC_POINT_dbl"}, +{ERR_PACK(0,EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,0), "EC_POINT_get_affine_coordinates_GF2m"}, {ERR_PACK(0,EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,0), "EC_POINT_get_affine_coordinates_GFp"}, +{ERR_PACK(0,EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M,0), "EC_POINT_get_Jprojective_coordinates_GF2m"}, {ERR_PACK(0,EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,0), "EC_POINT_get_Jprojective_coordinates_GFp"}, {ERR_PACK(0,EC_F_EC_POINT_IS_AT_INFINITY,0), "EC_POINT_is_at_infinity"}, {ERR_PACK(0,EC_F_EC_POINT_IS_ON_CURVE,0), "EC_POINT_is_on_curve"}, {ERR_PACK(0,EC_F_EC_POINT_MAKE_AFFINE,0), "EC_POINT_make_affine"}, +{ERR_PACK(0,EC_F_EC_POINT_MUL,0), "EC_POINT_mul"}, {ERR_PACK(0,EC_F_EC_POINT_NEW,0), "EC_POINT_new"}, {ERR_PACK(0,EC_F_EC_POINT_OCT2POINT,0), "EC_POINT_oct2point"}, {ERR_PACK(0,EC_F_EC_POINT_POINT2OCT,0), "EC_POINT_point2oct"}, +{ERR_PACK(0,EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,0), "EC_POINT_set_affine_coordinates_GF2m"}, {ERR_PACK(0,EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,0), "EC_POINT_set_affine_coordinates_GFp"}, +{ERR_PACK(0,EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M,0), "EC_POINT_set_compressed_coordinates_GF2m"}, {ERR_PACK(0,EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP,0), "EC_POINT_set_compressed_coordinates_GFp"}, +{ERR_PACK(0,EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M,0), "EC_POINT_set_Jprojective_coordinates_GF2m"}, {ERR_PACK(0,EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,0), "EC_POINT_set_Jprojective_coordinates_GFp"}, {ERR_PACK(0,EC_F_EC_POINT_SET_TO_INFINITY,0), "EC_POINT_set_to_infinity"}, +{ERR_PACK(0,EC_F_EC_WNAF_MUL,0), "ec_wNAF_mul"}, +{ERR_PACK(0,EC_F_EC_WNAF_PRECOMPUTE_MULT,0), "ec_wNAF_precompute_mult"}, {ERR_PACK(0,EC_F_GFP_MONT_GROUP_SET_CURVE_GFP,0), "GFP_MONT_GROUP_SET_CURVE_GFP"}, {ERR_PACK(0,EC_F_I2D_ECDSAPARAMETERS,0), "i2d_ECDSAParameters"}, {ERR_PACK(0,EC_F_I2D_ECPARAMETERS,0), "i2d_ECParameters"}, diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_lcl.h index 7457c423ff..bd83779bf1 100644 --- a/crypto/ec/ec_lcl.h +++ b/crypto/ec/ec_lcl.h @@ -52,6 +52,32 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the Contribution as delivered hereunder + * (or portions thereof), provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the Contribution; + * 2) separates from the Contribution; or + * 3) for infringements caused by: + * i) the modification of the Contribution or + * ii) the combination of the Contribution with other software or + * devices where such combination causes the infringement. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ #include @@ -73,9 +99,13 @@ struct ec_method_st { void (*group_clear_finish)(EC_GROUP *); int (*group_copy)(EC_GROUP *, const EC_GROUP *); - /* used by EC_GROUP_set_curve_GFp and EC_GROUP_get_curve_GFp: */ - int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); - int (*group_get_curve_GFp)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); + /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ + /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ + int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); + int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); + + /* used by EC_GROUP_get_degree: */ + int (*group_get_degree)(const EC_GROUP *); /* used by EC_GROUP_check: */ int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); @@ -89,18 +119,20 @@ struct ec_method_st { /* used by EC_POINT_set_to_infinity, * EC_POINT_set_Jprojective_coordinates_GFp, EC_POINT_get_Jprojective_coordinates_GFp, * EC_POINT_set_affine_coordinates_GFp, EC_POINT_get_affine_coordinates_GFp, - * EC_POINT_set_compressed_coordinates_GFp: + * EC_POINT_set_compressed_coordinates_GFp, EC_POINT_set_Jprojective_coordinates_GF2m, + * EC_POINT_get_Jprojective_coordinates_GF2m, EC_POINT_set_affine_coordinates_GF2m, + * EC_POINT_get_affine_coordinates_GF2m, and EC_POINT_set_compressed_coordinates_GF2m: */ int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); - int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *, + int (*point_set_Jprojective_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); - int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *, + int (*point_get_Jprojective_coordinates)(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); - int (*point_set_affine_coordinates_GFp)(const EC_GROUP *, EC_POINT *, + int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, BN_CTX *); - int (*point_get_affine_coordinates_GFp)(const EC_GROUP *, const EC_POINT *, + int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BN_CTX *); - int (*point_set_compressed_coordinates_GFp)(const EC_GROUP *, EC_POINT *, + int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, int y_bit, BN_CTX *); /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ @@ -114,6 +146,11 @@ struct ec_method_st { int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); + /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult: */ + int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); + int (*precompute_mult)(EC_GROUP *group, BN_CTX *); + /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); @@ -126,11 +163,12 @@ struct ec_method_st { /* internal functions */ - /* 'field_mul' and 'field_sqr' can be used by 'add' and 'dbl' so that + /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that * the same implementations of point operations can be used with different * optimized implementations of expensive field operations: */ int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); + int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */ int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */ @@ -165,6 +203,12 @@ struct ec_group_st { * irreducible polynomial defining the field. */ + unsigned int poly[5]; /* Field specification for curves over GF(2^m). + * The irreducible f(t) is then of the form: + * t^poly[0] + t^poly[1] + ... + t^poly[k] + * where m = poly[0] > poly[1] > ... > poly[k] = 0. + */ + BIGNUM a, b; /* Curve coefficients. * (Here the assumption is that BIGNUMs can be used * or abused for all kinds of fields, not just GF(p).) @@ -213,6 +257,11 @@ struct ec_point_st { +/* method functions in ec_mult.c */ +int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); +int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); + /* method functions in ecp_smpl.c */ int ec_GFp_simple_group_init(EC_GROUP *); void ec_GFp_simple_group_finish(EC_GROUP *); @@ -220,6 +269,7 @@ void ec_GFp_simple_group_clear_finish(EC_GROUP *); int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); +int ec_GFp_simple_group_get_degree(const EC_GROUP *); int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); int ec_GFp_simple_point_init(EC_POINT *); void ec_GFp_simple_point_finish(EC_POINT *); @@ -283,3 +333,46 @@ void ec_GFp_nist_group_clear_finish(EC_GROUP *); int ec_GFp_nist_group_copy(EC_GROUP *, const EC_GROUP *); int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); + + +/* method functions in ec2_smpl.c */ +int ec_GF2m_simple_group_init(EC_GROUP *); +void ec_GF2m_simple_group_finish(EC_GROUP *); +void ec_GF2m_simple_group_clear_finish(EC_GROUP *); +int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); +int ec_GF2m_simple_group_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); +int ec_GF2m_simple_group_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); +int ec_GF2m_simple_group_get_degree(const EC_GROUP *); +int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); +int ec_GF2m_simple_point_init(EC_POINT *); +void ec_GF2m_simple_point_finish(EC_POINT *); +void ec_GF2m_simple_point_clear_finish(EC_POINT *); +int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); +int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); +int ec_GF2m_simple_point_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, const BIGNUM *y, BN_CTX *); +int ec_GF2m_simple_point_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *, + BIGNUM *x, BIGNUM *y, BN_CTX *); +int ec_GF2m_simple_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, int y_bit, BN_CTX *); +size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, + unsigned char *buf, size_t len, BN_CTX *); +int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, + const unsigned char *buf, size_t len, BN_CTX *); +int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); +int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); +int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); +int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); +int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); +int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); +int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); +int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); +int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); +int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); +int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); + + +/* method functions in ec2_mult.c */ +int ec_GF2m_mont_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); +int ec_GF2m_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx); diff --git a/crypto/ec/ec_lib.c b/crypto/ec/ec_lib.c index 751f8c99e0..53da1d3057 100644 --- a/crypto/ec/ec_lib.c +++ b/crypto/ec/ec_lib.c @@ -52,6 +52,11 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * Binary polynomial ECC support in OpenSSL originally developed by + * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project. + */ #include @@ -243,6 +248,28 @@ int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) } +EC_GROUP *EC_GROUP_dup(const EC_GROUP *a) + { + EC_GROUP *t = NULL; + int ok = 0; + + if (a == NULL) return NULL; + + if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL); + if (!EC_GROUP_copy(t, a)) goto err; + + ok = 1; + + err: + if (!ok) + { + if (t) EC_GROUP_free(t); + return NULL; + } + else return t; + } + + const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) { return group->meth; @@ -380,23 +407,56 @@ size_t EC_GROUP_get_seed_len(const EC_GROUP *group) int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) { - if (group->meth->group_set_curve_GFp == 0) + if (group->meth->group_set_curve == 0) { ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } - return group->meth->group_set_curve_GFp(group, p, a, b, ctx); + return group->meth->group_set_curve(group, p, a, b, ctx); } int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx) { - if (group->meth->group_get_curve_GFp == 0) + if (group->meth->group_get_curve == 0) { ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } - return group->meth->group_get_curve_GFp(group, p, a, b, ctx); + return group->meth->group_get_curve(group, p, a, b, ctx); + } + + +int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + if (group->meth->group_set_curve == 0) + { + ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + return group->meth->group_set_curve(group, p, a, b, ctx); + } + + +int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx) + { + if (group->meth->group_get_curve == 0) + { + ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + return group->meth->group_get_curve(group, p, a, b, ctx); + } + + +int EC_GROUP_get_degree(const EC_GROUP *group) + { + if (group->meth->group_get_degree == 0) + { + ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + return group->meth->group_get_degree(group); } @@ -551,6 +611,25 @@ int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) } +EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group) + { + EC_POINT *t; + int r; + + if (a == NULL) return NULL; + + t = EC_POINT_new(group); + if (t == NULL) return(NULL); + r = EC_POINT_copy(t, a); + if (!r) + { + EC_POINT_free(t); + return NULL; + } + else return t; + } + + const EC_METHOD *EC_POINT_method_of(const EC_POINT *point) { return point->meth; @@ -576,7 +655,7 @@ int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx) { - if (group->meth->point_set_Jprojective_coordinates_GFp == 0) + if (group->meth->point_set_Jprojective_coordinates == 0) { ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; @@ -586,14 +665,14 @@ int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *po ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS); return 0; } - return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx); + return group->meth->point_set_Jprojective_coordinates(group, point, x, y, z, ctx); } int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx) { - if (group->meth->point_get_Jprojective_coordinates_GFp == 0) + if (group->meth->point_get_Jprojective_coordinates == 0) { ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; @@ -603,14 +682,14 @@ int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POI ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS); return 0; } - return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx); + return group->meth->point_get_Jprojective_coordinates(group, point, x, y, z, ctx); } int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx) { - if (group->meth->point_set_affine_coordinates_GFp == 0) + if (group->meth->point_set_affine_coordinates == 0) { ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; @@ -620,14 +699,14 @@ int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point, ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS); return 0; } - return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx); + return group->meth->point_set_affine_coordinates(group, point, x, y, ctx); } int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx) { - if (group->meth->point_get_affine_coordinates_GFp == 0) + if (group->meth->point_get_affine_coordinates == 0) { ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; @@ -637,14 +716,14 @@ int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *p ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS); return 0; } - return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx); + return group->meth->point_get_affine_coordinates(group, point, x, y, ctx); } int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, int y_bit, BN_CTX *ctx) { - if (group->meth->point_set_compressed_coordinates_GFp == 0) + if (group->meth->point_set_compressed_coordinates == 0) { ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; @@ -654,7 +733,92 @@ int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *poi ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS); return 0; } - return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx); + return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx); + } + + +int EC_POINT_set_Jprojective_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point, + const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx) + { + if (group->meth->point_set_Jprojective_coordinates == 0) + { + ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + if (group->meth != point->meth) + { + ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + return group->meth->point_set_Jprojective_coordinates(group, point, x, y, z, ctx); + } + + +int EC_POINT_get_Jprojective_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point, + BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx) + { + if (group->meth->point_get_Jprojective_coordinates == 0) + { + ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + if (group->meth != point->meth) + { + ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + return group->meth->point_get_Jprojective_coordinates(group, point, x, y, z, ctx); + } + + +int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point, + const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx) + { + if (group->meth->point_set_affine_coordinates == 0) + { + ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + if (group->meth != point->meth) + { + ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + return group->meth->point_set_affine_coordinates(group, point, x, y, ctx); + } + + +int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point, + BIGNUM *x, BIGNUM *y, BN_CTX *ctx) + { + if (group->meth->point_get_affine_coordinates == 0) + { + ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + if (group->meth != point->meth) + { + ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + return group->meth->point_get_affine_coordinates(group, point, x, y, ctx); + } + + +int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point, + const BIGNUM *x, int y_bit, BN_CTX *ctx) + { + if (group->meth->point_set_compressed_coordinates == 0) + { + ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return 0; + } + if (group->meth != point->meth) + { + ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx); } diff --git a/crypto/ec/ec_mult.c b/crypto/ec/ec_mult.c index 74e1a962df..3055b05d57 100644 --- a/crypto/ec/ec_mult.c +++ b/crypto/ec/ec_mult.c @@ -52,6 +52,11 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * Portions of this software developed by SUN MICROSYSTEMS, INC., + * and contributed to the OpenSSL project. + */ #include @@ -209,7 +214,7 @@ static signed char *compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len) * scalar*generator * in the addition if scalar != NULL */ -int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, +int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx) { BN_CTX *new_ctx = NULL; @@ -235,7 +240,7 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, generator = EC_GROUP_get0_generator(group); if (generator == NULL) { - ECerr(EC_F_EC_POINTS_MUL, EC_R_UNDEFINED_GENERATOR); + ECerr(EC_F_EC_WNAF_MUL, EC_R_UNDEFINED_GENERATOR); return 0; } } @@ -244,7 +249,7 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, { if (group->meth != points[i]->meth) { - ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS); + ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS); return 0; } } @@ -294,7 +299,7 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, } if (!(v == val + num_val)) { - ECerr(EC_F_EC_POINTS_MUL, ERR_R_INTERNAL_ERROR); + ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); goto err; } @@ -438,6 +443,20 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, } +/* Generic multiplication method. + * If group->meth does not provide a multiplication method, default to ec_wNAF_mul; + * otherwise use the group->meth's multiplication. + */ +int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx) + { + if (group->meth->mul == 0) + return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); + else + return group->meth->mul(group, r, scalar, num, points, scalars, ctx); + } + + int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx) { const EC_POINT *points[1]; @@ -450,7 +469,7 @@ int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, con } -int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) +int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx) { const EC_POINT *generator; BN_CTX *new_ctx = NULL; @@ -460,7 +479,7 @@ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) generator = EC_GROUP_get0_generator(group); if (generator == NULL) { - ECerr(EC_F_EC_GROUP_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR); + ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR); return 0; } @@ -478,7 +497,7 @@ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) if (!EC_GROUP_get_order(group, order, ctx)) return 0; if (BN_is_zero(order)) { - ECerr(EC_F_EC_GROUP_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER); + ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER); goto err; } @@ -492,3 +511,18 @@ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) BN_CTX_free(new_ctx); return ret; } + + +/* Generic multiplicaiton precomputation method. + * If group->meth does not provide a multiplication method, default to ec_wNAF_mul and do its + * precomputation; otherwise use the group->meth's precomputation if it exists. + */ +int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) + { + if (group->meth->mul == 0) + return ec_wNAF_precompute_mult(group, ctx); + else if (group->meth->precompute_mult != 0) + return group->meth->precompute_mult(group, ctx); + else + return 1; + } diff --git a/crypto/ec/ecp_mont.c b/crypto/ec/ecp_mont.c index 75c9f6ed15..21592d007a 100644 --- a/crypto/ec/ecp_mont.c +++ b/crypto/ec/ecp_mont.c @@ -52,6 +52,11 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * Portions of this software developed by SUN MICROSYSTEMS, INC., + * and contributed to the OpenSSL project. + */ #include @@ -68,6 +73,7 @@ const EC_METHOD *EC_GFp_mont_method(void) ec_GFp_mont_group_copy, ec_GFp_mont_group_set_curve_GFp, ec_GFp_simple_group_get_curve_GFp, + ec_GFp_simple_group_get_degree, ec_GFp_simple_group_check_discriminant, ec_GFp_simple_point_init, ec_GFp_simple_point_finish, @@ -84,6 +90,8 @@ const EC_METHOD *EC_GFp_mont_method(void) ec_GFp_simple_add, ec_GFp_simple_dbl, ec_GFp_simple_invert, + 0 /* mul */, + 0 /* precompute_mult */, ec_GFp_simple_is_at_infinity, ec_GFp_simple_is_on_curve, ec_GFp_simple_cmp, @@ -91,6 +99,7 @@ const EC_METHOD *EC_GFp_mont_method(void) ec_GFp_simple_points_make_affine, ec_GFp_mont_field_mul, ec_GFp_mont_field_sqr, + 0 /* field_div */, ec_GFp_mont_field_encode, ec_GFp_mont_field_decode, ec_GFp_mont_field_set_to_one }; diff --git a/crypto/ec/ecp_nist.c b/crypto/ec/ecp_nist.c index 4e37c33cf3..d7488e75c6 100644 --- a/crypto/ec/ecp_nist.c +++ b/crypto/ec/ecp_nist.c @@ -52,6 +52,11 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * Portions of this software developed by SUN MICROSYSTEMS, INC., + * and contributed to the OpenSSL project. + */ #include "ec_lcl.h" @@ -65,6 +70,7 @@ const EC_METHOD *EC_GFp_nist_method(void) ec_GFp_nist_group_copy, ec_GFp_nist_group_set_curve_GFp, ec_GFp_simple_group_get_curve_GFp, + ec_GFp_simple_group_get_degree, ec_GFp_simple_group_set_generator, ec_GFp_simple_group_get0_generator, ec_GFp_simple_group_get_order, @@ -85,6 +91,8 @@ const EC_METHOD *EC_GFp_nist_method(void) ec_GFp_simple_add, ec_GFp_simple_dbl, ec_GFp_simple_invert, + 0 /* mul */, + 0 /* precompute_mult */, ec_GFp_simple_is_at_infinity, ec_GFp_simple_is_on_curve, ec_GFp_simple_cmp, @@ -92,6 +100,7 @@ const EC_METHOD *EC_GFp_nist_method(void) ec_GFp_simple_points_make_affine, ec_GFp_nist_field_mul, ec_GFp_nist_field_sqr, + 0 /* field_div */, 0 /* field_encode */, 0 /* field_decode */, 0 /* field_set_to_one */ }; diff --git a/crypto/ec/ecp_recp.c b/crypto/ec/ecp_recp.c index 54d3b83ec4..f26b571d3d 100644 --- a/crypto/ec/ecp_recp.c +++ b/crypto/ec/ecp_recp.c @@ -52,6 +52,11 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * Portions of this software developed by SUN MICROSYSTEMS, INC., + * and contributed to the OpenSSL project. + */ #include "ec_lcl.h" @@ -65,6 +70,7 @@ const EC_METHOD *EC_GFp_recp_method(void) ec_GFp_recp_group_copy, ec_GFp_recp_group_set_curve_GFp, ec_GFp_simple_group_get_curve_GFp, + ec_GFp_simple_group_get_degree, ec_GFp_simple_group_set_generator, ec_GFp_simple_group_get0_generator, ec_GFp_simple_group_get_order, @@ -85,6 +91,8 @@ const EC_METHOD *EC_GFp_recp_method(void) ec_GFp_simple_add, ec_GFp_simple_dbl, ec_GFp_simple_invert, + 0 /* mul */, + 0 /* precompute_mult */, ec_GFp_simple_is_at_infinity, ec_GFp_simple_is_on_curve, ec_GFp_simple_cmp, @@ -92,6 +100,7 @@ const EC_METHOD *EC_GFp_recp_method(void) ec_GFp_simple_points_make_affine, ec_GFp_recp_field_mul, ec_GFp_recp_field_sqr, + 0 /* field_div */, 0 /* field_encode */, 0 /* field_decode */, 0 /* field_set_to_one */ }; diff --git a/crypto/ec/ecp_smpl.c b/crypto/ec/ecp_smpl.c index a453f4f451..27b4472b71 100644 --- a/crypto/ec/ecp_smpl.c +++ b/crypto/ec/ecp_smpl.c @@ -54,6 +54,11 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * Portions of this software developed by SUN MICROSYSTEMS, INC., + * and contributed to the OpenSSL project. + */ #include #include @@ -70,6 +75,7 @@ const EC_METHOD *EC_GFp_simple_method(void) ec_GFp_simple_group_copy, ec_GFp_simple_group_set_curve_GFp, ec_GFp_simple_group_get_curve_GFp, + ec_GFp_simple_group_get_degree, ec_GFp_simple_group_check_discriminant, ec_GFp_simple_point_init, ec_GFp_simple_point_finish, @@ -86,6 +92,8 @@ const EC_METHOD *EC_GFp_simple_method(void) ec_GFp_simple_add, ec_GFp_simple_dbl, ec_GFp_simple_invert, + 0 /* mul */, + 0 /* precompute_mult */, ec_GFp_simple_is_at_infinity, ec_GFp_simple_is_on_curve, ec_GFp_simple_cmp, @@ -93,6 +101,7 @@ const EC_METHOD *EC_GFp_simple_method(void) ec_GFp_simple_points_make_affine, ec_GFp_simple_field_mul, ec_GFp_simple_field_sqr, + 0 /* field_div */, 0 /* field_encode */, 0 /* field_decode */, 0 /* field_set_to_one */ }; @@ -245,6 +254,12 @@ int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM * } +int ec_GFp_simple_group_get_degree(const EC_GROUP *group) + { + return BN_num_bits(&group->field); + } + + int ec_GFp_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx) { int ret = 0; diff --git a/crypto/ec/ectest.c b/crypto/ec/ectest.c index eab46cc080..86a71ba14b 100644 --- a/crypto/ec/ectest.c +++ b/crypto/ec/ectest.c @@ -52,6 +52,32 @@ * Hudson (tjh@cryptsoft.com). * */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the Contribution as delivered hereunder + * (or portions thereof), provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the Contribution; + * 2) separates from the Contribution; or + * 3) for infringements caused by: + * i) the modification of the Contribution or + * ii) the combination of the Contribution with other software or + * devices where such combination causes the infringement. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ #include #include @@ -67,6 +93,7 @@ int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); retur #include #include #include +#include #define ABORT do { \ fflush(stdout); \ @@ -80,37 +107,40 @@ static void timings(EC_GROUP *group, int multi, BN_CTX *ctx) { clock_t clck; int i, j; - BIGNUM *s, *s0; + BIGNUM *s; + BIGNUM *r[10], *r0[10]; EC_POINT *P; s = BN_new(); - s0 = BN_new(); - if (s == NULL || s0 == NULL) ABORT; + if (s == NULL) ABORT; - if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT; - fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s)); + fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group)); if (!EC_GROUP_get_order(group, s, ctx)) ABORT; - fprintf(stdout, "%d bit scalars ", (int)BN_num_bits(s)); + fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s)); fflush(stdout); P = EC_POINT_new(group); if (P == NULL) ABORT; EC_POINT_copy(P, EC_GROUP_get0_generator(group)); - clck = clock(); for (i = 0; i < 10; i++) { - if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT; + if ((r[i] = BN_new()) == NULL) ABORT; + if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT; if (multi) { - if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT; + if ((r0[i] = BN_new()) == NULL) ABORT; + if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT; } + } + + clck = clock(); + for (i = 0; i < 10; i++) + { for (j = 0; j < 10; j++) { - if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT; + if (!EC_POINT_mul(group, P, r[i], multi ? P : NULL, multi ? r0[i] : NULL, ctx)) ABORT; } - fprintf(stdout, "."); - fflush(stdout); } fprintf(stdout, "\n"); @@ -136,11 +166,15 @@ static void timings(EC_GROUP *group, int multi, BN_CTX *ctx) EC_POINT_free(P); BN_free(s); - BN_free(s0); + for (i = 0; i < 10; i++) + { + BN_free(r[i]); + if (multi) BN_free(r0[i]); + } } #endif -int main(int argc, char *argv[]) +void prime_field_tests() { BN_CTX *ctx = NULL; BIGNUM *p, *a, *b; @@ -152,20 +186,6 @@ int main(int argc, char *argv[]) size_t i, len; int k; - /* enable memory leak checking unless explicitly disabled */ - if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) - { - CRYPTO_malloc_debug_init(); - CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); - } - else - { - /* OPENSSL_DEBUG_MEMORY=off */ - CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); - } - CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); - ERR_load_crypto_strings(); - #if 1 /* optional */ ctx = BN_CTX_new(); if (!ctx) ABORT; @@ -333,6 +353,10 @@ int main(int argc, char *argv[]) /* G_y value taken from the standard: */ if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; if (0 != BN_cmp(y, z)) ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 192) ABORT; + fprintf(stdout, " ok\n"); fprintf(stdout, "verify group order ..."); fflush(stdout); @@ -374,6 +398,10 @@ int main(int argc, char *argv[]) if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; if (0 != BN_cmp(y, z)) ABORT; + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 224) ABORT; + fprintf(stdout, " ok\n"); + fprintf(stdout, "verify group order ..."); fflush(stdout); if (!EC_GROUP_get_order(group, z, ctx)) ABORT; @@ -415,6 +443,10 @@ int main(int argc, char *argv[]) if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; if (0 != BN_cmp(y, z)) ABORT; + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 256) ABORT; + fprintf(stdout, " ok\n"); + fprintf(stdout, "verify group order ..."); fflush(stdout); if (!EC_GROUP_get_order(group, z, ctx)) ABORT; @@ -461,6 +493,10 @@ int main(int argc, char *argv[]) "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; if (0 != BN_cmp(y, z)) ABORT; + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 384) ABORT; + fprintf(stdout, " ok\n"); + fprintf(stdout, "verify group order ..."); fflush(stdout); if (!EC_GROUP_get_order(group, z, ctx)) ABORT; @@ -513,6 +549,10 @@ int main(int argc, char *argv[]) "7086A272C24088BE94769FD16650")) ABORT; if (0 != BN_cmp(y, z)) ABORT; + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 521) ABORT; + fprintf(stdout, " ok\n"); + fprintf(stdout, "verify group order ..."); fflush(stdout); if (!EC_GROUP_get_order(group, z, ctx)) ABORT; @@ -623,6 +663,513 @@ int main(int argc, char *argv[]) if (P_384) EC_GROUP_free(P_384); if (P_521) EC_GROUP_free(P_521); + } + +/* Change test based on whether binary point compression is enabled or not. */ +#ifdef OPENSSL_EC_BIN_PT_COMP +#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&x, _x)) ABORT; \ + if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ + if (!BN_hex2bn(&z, _order)) ABORT; \ + if (!BN_hex2bn(&cof, _cof)) ABORT; \ + if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ + if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ + fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ + BN_print_fp(stdout, x); \ + fprintf(stdout, "\n y = 0x"); \ + BN_print_fp(stdout, y); \ + fprintf(stdout, "\n"); \ + /* G_y value taken from the standard: */ \ + if (!BN_hex2bn(&z, _y)) ABORT; \ + if (0 != BN_cmp(y, z)) ABORT; +#else +#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&x, _x)) ABORT; \ + if (!BN_hex2bn(&y, _y)) ABORT; \ + if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ + if (!BN_hex2bn(&z, _order)) ABORT; \ + if (!BN_hex2bn(&cof, _cof)) ABORT; \ + if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ + fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ + BN_print_fp(stdout, x); \ + fprintf(stdout, "\n y = 0x"); \ + BN_print_fp(stdout, y); \ + fprintf(stdout, "\n"); +#endif + +#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&p, _p)) ABORT; \ + if (!BN_hex2bn(&a, _a)) ABORT; \ + if (!BN_hex2bn(&b, _b)) ABORT; \ + if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ + CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + fprintf(stdout, "verify degree ..."); \ + if (EC_GROUP_get_degree(group) != _degree) ABORT; \ + fprintf(stdout, " ok\n"); \ + fprintf(stdout, "verify group order ..."); \ + fflush(stdout); \ + if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \ + if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ + if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ + fprintf(stdout, "."); \ + fflush(stdout); \ + if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \ + if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ + if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ + fprintf(stdout, " ok\n"); \ + if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ + if (!EC_GROUP_copy(_variable, group)) ABORT; + +void char2_field_tests() + { + BN_CTX *ctx = NULL; + BIGNUM *p, *a, *b; + EC_GROUP *group; + EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; + EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; + EC_POINT *P, *Q, *R; + BIGNUM *x, *y, *z, *cof; + unsigned char buf[100]; + size_t i, len; + int k; + +#if 1 /* optional */ + ctx = BN_CTX_new(); + if (!ctx) ABORT; +#endif + + p = BN_new(); + a = BN_new(); + b = BN_new(); + if (!p || !a || !b) ABORT; + + if (!BN_hex2bn(&p, "13")) ABORT; + if (!BN_hex2bn(&a, "3")) ABORT; + if (!BN_hex2bn(&b, "1")) ABORT; + + group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GFp + * so that the library gets to choose the EC_METHOD */ + if (!group) ABORT; + if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; + + { + EC_GROUP *tmp; + tmp = EC_GROUP_new(EC_GROUP_method_of(group)); + if (!tmp) ABORT; + if (!EC_GROUP_copy(tmp, group)); + EC_GROUP_free(group); + group = tmp; + } + + if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; + + fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); + BN_print_fp(stdout, p); + fprintf(stdout, ")\n a = 0x"); + BN_print_fp(stdout, a); + fprintf(stdout, "\n b = 0x"); + BN_print_fp(stdout, b); + fprintf(stdout, "\n"); + + P = EC_POINT_new(group); + Q = EC_POINT_new(group); + R = EC_POINT_new(group); + if (!P || !Q || !R) ABORT; + + if (!EC_POINT_set_to_infinity(group, P)) ABORT; + if (!EC_POINT_is_at_infinity(group, P)) ABORT; + + buf[0] = 0; + if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; + + if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; + if (!EC_POINT_is_at_infinity(group, P)) ABORT; + + x = BN_new(); + y = BN_new(); + z = BN_new(); + cof = BN_new(); + if (!x || !y || !z || !cof) ABORT; + + if (!BN_hex2bn(&x, "6")) ABORT; +/* Change test based on whether binary point compression is enabled or not. */ +#ifdef OPENSSL_EC_BIN_PT_COMP + if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; +#else + if (!BN_hex2bn(&y, "8")) ABORT; + if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; +#endif + if (!EC_POINT_is_on_curve(group, Q, ctx)) + { +/* Change test based on whether binary point compression is enabled or not. */ +#ifdef OPENSSL_EC_BIN_PT_COMP + if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; +#endif + fprintf(stderr, "Point is not on curve: x = 0x"); + BN_print_fp(stderr, x); + fprintf(stderr, ", y = 0x"); + BN_print_fp(stderr, y); + fprintf(stderr, "\n"); + ABORT; + } + + fprintf(stdout, "A cyclic subgroup:\n"); + k = 100; + do + { + if (k-- == 0) ABORT; + + if (EC_POINT_is_at_infinity(group, P)) + fprintf(stdout, " point at infinity\n"); + else + { + if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; + + fprintf(stdout, " x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, ", y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + } + + if (!EC_POINT_copy(R, P)) ABORT; + if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; + } + while (!EC_POINT_is_at_infinity(group, P)); + + if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; + if (!EC_POINT_is_at_infinity(group, P)) ABORT; + +/* Change test based on whether binary point compression is enabled or not. */ +#ifdef OPENSSL_EC_BIN_PT_COMP + len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); + if (len == 0) ABORT; + if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; + if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; + fprintf(stdout, "Generator as octet string, compressed form:\n "); + for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); +#endif + + len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); + if (len == 0) ABORT; + if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; + if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; + fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); + for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); + +/* Change test based on whether binary point compression is enabled or not. */ +#ifdef OPENSSL_EC_BIN_PT_COMP + len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); + if (len == 0) ABORT; + if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; + if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; + fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); + for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); +#endif + + fprintf(stdout, "\n"); + + if (!EC_POINT_invert(group, P, ctx)) ABORT; + if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; + + + /* Curve K-163 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve K-163", + "0800000000000000000000000000000000000000C9", + "1", + "1", + "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", + "0289070FB05D38FF58321F2E800536D538CCDAA3D9", + 1, + "04000000000000000000020108A2E0CC0D99F8A5EF", + "2", + 163, + C2_K163 + ); + + /* Curve B-163 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve B-163", + "0800000000000000000000000000000000000000C9", + "1", + "020A601907B8C953CA1481EB10512F78744A3205FD", + "03F0EBA16286A2D57EA0991168D4994637E8343E36", + "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", + 1, + "040000000000000000000292FE77E70C12A4234C33", + "2", + 163, + C2_B163 + ); + + /* Curve K-233 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve K-233", + "020000000000000000000000000000000000000004000000000000000001", + "0", + "1", + "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", + "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", + 0, + "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", + "4", + 233, + C2_K233 + ); + + /* Curve B-233 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve B-233", + "020000000000000000000000000000000000000004000000000000000001", + "000000000000000000000000000000000000000000000000000000000001", + "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", + "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", + "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", + 1, + "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", + "2", + 233, + C2_B233 + ); + + /* Curve K-283 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve K-283", + "0800000000000000000000000000000000000000000000000000000000000000000010A1", + "0", + "1", + "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", + "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", + 0, + "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", + "4", + 283, + C2_K283 + ); + + /* Curve B-283 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve B-283", + "0800000000000000000000000000000000000000000000000000000000000000000010A1", + "000000000000000000000000000000000000000000000000000000000000000000000001", + "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", + "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", + "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", + 1, + "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", + "2", + 283, + C2_B283 + ); + + /* Curve K-409 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve K-409", + "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", + "0", + "1", + "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", + "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", + 1, + "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", + "4", + 409, + C2_K409 + ); + + /* Curve B-409 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve B-409", + "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", + "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", + "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", + "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", + 1, + "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", + "2", + 409, + C2_B409 + ); + + /* Curve K-571 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve K-571", + "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", + "0", + "1", + "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", + "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", + 0, + "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", + "4", + 571, + C2_K571 + ); + + /* Curve B-571 (FIPS PUB 186-2, App. 6) */ + CHAR2_CURVE_TEST + ( + "NIST curve B-571", + "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", + "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", + "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", + "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", + 1, + "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", + "2", + 571, + C2_B571 + ); + + /* more tests using the last curve */ + + if (!EC_POINT_copy(Q, P)) ABORT; + if (EC_POINT_is_at_infinity(group, Q)) ABORT; + if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; + if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ + + if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; + if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; + if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ + + { + const EC_POINT *points[3]; + const BIGNUM *scalars[3]; + + if (EC_POINT_is_at_infinity(group, Q)) ABORT; + points[0] = Q; + points[1] = Q; + points[2] = Q; + + if (!BN_add(y, z, BN_value_one())) ABORT; + if (BN_is_odd(y)) ABORT; + if (!BN_rshift1(y, y)) ABORT; + scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ + scalars[1] = y; + + fprintf(stdout, "combined multiplication ..."); + fflush(stdout); + + /* z is still the group order */ + if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; + if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; + if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; + if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; + + fprintf(stdout, "."); + fflush(stdout); + + if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; + if (!BN_add(z, z, y)) ABORT; + z->neg = 1; + scalars[0] = y; + scalars[1] = z; /* z = -(order + y) */ + + if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; + if (!EC_POINT_is_at_infinity(group, P)) ABORT; + + fprintf(stdout, "."); + fflush(stdout); + + if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; + if (!BN_add(z, x, y)) ABORT; + z->neg = 1; + scalars[0] = x; + scalars[1] = y; + scalars[2] = z; /* z = -(x+y) */ + + if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; + if (!EC_POINT_is_at_infinity(group, P)) ABORT; + + fprintf(stdout, " ok\n\n"); + } + + +#if 0 + timings(C2_K163, 0, ctx); + timings(C2_K163, 1, ctx); + timings(C2_B163, 0, ctx); + timings(C2_B163, 1, ctx); + timings(C2_K233, 0, ctx); + timings(C2_K233, 1, ctx); + timings(C2_B233, 0, ctx); + timings(C2_B233, 1, ctx); + timings(C2_K283, 0, ctx); + timings(C2_K283, 1, ctx); + timings(C2_B283, 0, ctx); + timings(C2_B283, 1, ctx); + timings(C2_K409, 0, ctx); + timings(C2_K409, 1, ctx); + timings(C2_B409, 0, ctx); + timings(C2_B409, 1, ctx); + timings(C2_K571, 0, ctx); + timings(C2_K571, 1, ctx); + timings(C2_B571, 0, ctx); + timings(C2_B571, 1, ctx); +#endif + + + if (ctx) + BN_CTX_free(ctx); + BN_free(p); BN_free(a); BN_free(b); + EC_GROUP_free(group); + EC_POINT_free(P); + EC_POINT_free(Q); + EC_POINT_free(R); + BN_free(x); BN_free(y); BN_free(z); BN_free(cof); + + if (C2_K163) EC_GROUP_free(C2_K163); + if (C2_B163) EC_GROUP_free(C2_B163); + if (C2_K233) EC_GROUP_free(C2_K233); + if (C2_B233) EC_GROUP_free(C2_B233); + if (C2_K283) EC_GROUP_free(C2_K283); + if (C2_B283) EC_GROUP_free(C2_B283); + if (C2_K409) EC_GROUP_free(C2_K409); + if (C2_B409) EC_GROUP_free(C2_B409); + if (C2_K571) EC_GROUP_free(C2_K571); + if (C2_B571) EC_GROUP_free(C2_B571); + + } + +static const char rnd_seed[] = "string to make the random number generator think it has entropy"; + +int main(int argc, char *argv[]) + { + + /* enable memory leak checking unless explicitly disabled */ + if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) + { + CRYPTO_malloc_debug_init(); + CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); + } + else + { + /* OPENSSL_DEBUG_MEMORY=off */ + CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); + } + CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); + ERR_load_crypto_strings(); + + RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ + + prime_field_tests(); + char2_field_tests(); + ENGINE_cleanup(); CRYPTO_cleanup_all_ex_data(); ERR_free_strings();