/* Originally written by Bodo Moeller for the OpenSSL project. * ==================================================================== * Copyright (c) 1998-2005 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). * */ /* ==================================================================== * 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. * * The elliptic curve binary polynomial software is originally written by * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems * Laboratories. */ #include #include #include #include #include #include #include #include "internal.h" #include "../internal.h" static const struct curve_data P224 = { "NIST P-224", 28, {/* p */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, /* a */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, /* b */ 0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56, 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43, 0x23, 0x55, 0xFF, 0xB4, /* x */ 0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9, 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6, 0x11, 0x5C, 0x1D, 0x21, /* y */ 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34, /* order */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45, 0x5C, 0x5C, 0x2A, 0x3D, }}; static const struct curve_data P256 = { "NIST P-256", 32, {/* p */ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, /* b */ 0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7, 0xB3, 0xEB, 0xBD, 0x55, 0x76, 0x98, 0x86, 0xBC, 0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6, 0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B, /* x */ 0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47, 0xF8, 0xBC, 0xE6, 0xE5, 0x63, 0xA4, 0x40, 0xF2, 0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0, 0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96, /* y */ 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce, 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5, /* order */ 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84, 0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51}}; static const struct curve_data P384 = { "NIST P-384", 48, {/* p */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC, /* b */ 0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B, 0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12, 0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D, 0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF, /* x */ 0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E, 0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98, 0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D, 0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7, /* y */ 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c, 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f, /* order */ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF, 0x58, 0x1A, 0x0D, 0xB2, 0x48, 0xB0, 0xA7, 0x7A, 0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73}}; static const struct curve_data P521 = { "NIST P-521", 66, {/* p */ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, /* b */ 0x00, 0x51, 0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F, 0x92, 0x9A, 0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE, 0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3, 0x15, 0xF3, 0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1, 0x56, 0x19, 0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B, 0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1, 0xBF, 0x07, 0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1, 0xEF, 0x45, 0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00, /* x */ 0x00, 0xC6, 0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD, 0x9E, 0x3E, 0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42, 0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F, 0xB5, 0x21, 0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA, 0xA1, 0x4B, 0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28, 0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF, 0xA8, 0xDE, 0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B, 0xF9, 0x7E, 0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66, /* y */ 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50, /* order */ 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA, 0x51, 0x86, 0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09, 0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE, 0xBB, 0x6F, 0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09}}; /* MSan appears to have a bug that causes code to be miscompiled in opt mode. * While that is being looked at, don't run the uint128_t code under MSan. */ #if defined(OPENSSL_64_BIT) && !defined(OPENSSL_WINDOWS) && \ !defined(MEMORY_SANITIZER) #define BORINGSSL_USE_INT128_CODE #endif const struct built_in_curve OPENSSL_built_in_curves[] = { { NID_secp521r1, /* 1.3.132.0.35 */ {0x2b, 0x81, 0x04, 0x00, 0x23}, 5, &P521, &EC_GFp_mont_method, }, { NID_secp384r1, /* 1.3.132.0.34 */ {0x2b, 0x81, 0x04, 0x00, 0x22}, 5, &P384, &EC_GFp_mont_method, }, { NID_X9_62_prime256v1, /* 1.2.840.10045.3.1.7 */ {0x2a, 0x86, 0x48, 0xce, 0x3d, 0x03, 0x01, 0x07}, 8, &P256, #if defined(BORINGSSL_USE_INT128_CODE) #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) && \ !defined(OPENSSL_SMALL) &EC_GFp_nistz256_method, #else &EC_GFp_nistp256_method, #endif #else &EC_GFp_mont_method, #endif }, { NID_secp224r1, /* 1.3.132.0.33 */ {0x2b, 0x81, 0x04, 0x00, 0x21}, 5, &P224, #if defined(BORINGSSL_USE_INT128_CODE) && !defined(OPENSSL_SMALL) &EC_GFp_nistp224_method, #else &EC_GFp_mont_method, #endif }, {NID_undef, {0}, 0, NULL, NULL}, }; /* built_in_curve_scalar_field_monts contains Montgomery contexts for * performing inversions in the scalar fields of each of the built-in * curves. It's protected by |built_in_curve_scalar_field_monts_once|. */ static const BN_MONT_CTX **built_in_curve_scalar_field_monts; static CRYPTO_once_t built_in_curve_scalar_field_monts_once; static void built_in_curve_scalar_field_monts_init(void) { unsigned num_built_in_curves; for (num_built_in_curves = 0;; num_built_in_curves++) { if (OPENSSL_built_in_curves[num_built_in_curves].nid == NID_undef) { break; } } assert(0 < num_built_in_curves); built_in_curve_scalar_field_monts = OPENSSL_malloc(sizeof(BN_MONT_CTX *) * num_built_in_curves); if (built_in_curve_scalar_field_monts == NULL) { return; } BIGNUM *order = BN_new(); BN_CTX *bn_ctx = BN_CTX_new(); BN_MONT_CTX *mont_ctx = NULL; if (bn_ctx == NULL || order == NULL) { goto err; } unsigned i; for (i = 0; i < num_built_in_curves; i++) { const struct curve_data *curve = OPENSSL_built_in_curves[i].data; const unsigned param_len = curve->param_len; const uint8_t *params = curve->data; mont_ctx = BN_MONT_CTX_new(); if (mont_ctx == NULL) { goto err; } if (!BN_bin2bn(params + 5 * param_len, param_len, order) || !BN_MONT_CTX_set(mont_ctx, order, bn_ctx)) { goto err; } built_in_curve_scalar_field_monts[i] = mont_ctx; mont_ctx = NULL; } goto out; err: BN_MONT_CTX_free(mont_ctx); OPENSSL_free((BN_MONT_CTX**) built_in_curve_scalar_field_monts); built_in_curve_scalar_field_monts = NULL; out: BN_free(order); BN_CTX_free(bn_ctx); } EC_GROUP *ec_group_new(const EC_METHOD *meth) { EC_GROUP *ret; if (meth == NULL) { OPENSSL_PUT_ERROR(EC, EC_R_SLOT_FULL); return NULL; } if (meth->group_init == 0) { OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return NULL; } ret = OPENSSL_malloc(sizeof(EC_GROUP)); if (ret == NULL) { OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE); return NULL; } memset(ret, 0, sizeof(EC_GROUP)); ret->meth = meth; BN_init(&ret->order); if (!meth->group_init(ret)) { OPENSSL_free(ret); return NULL; } return ret; } EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) { EC_GROUP *ret = ec_group_new(&EC_GFp_mont_method); if (ret == NULL) { return NULL; } if (ret->meth->group_set_curve == 0) { OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (!ret->meth->group_set_curve(ret, p, a, b, ctx)) { EC_GROUP_free(ret); return NULL; } return ret; } int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor) { if (group->curve_name != NID_undef || group->generator != NULL) { /* |EC_GROUP_set_generator| may only be used with |EC_GROUP|s returned by * |EC_GROUP_new_curve_GFp| and may only used once on each group. */ return 0; } /* Require a cofactor of one for custom curves, which implies prime order. */ if (!BN_is_one(cofactor)) { OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COFACTOR); return 0; } group->generator = EC_POINT_new(group); return group->generator != NULL && EC_POINT_copy(group->generator, generator) && BN_copy(&group->order, order); } static EC_GROUP *ec_group_new_from_data(unsigned built_in_index) { const struct built_in_curve *curve = &OPENSSL_built_in_curves[built_in_index]; EC_GROUP *group = NULL; EC_POINT *P = NULL; BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL; int ok = 0; BN_CTX *ctx = BN_CTX_new(); if (ctx == NULL) { OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE); goto err; } const struct curve_data *data = curve->data; const unsigned param_len = data->param_len; const uint8_t *params = data->data; if (!(p = BN_bin2bn(params + 0 * param_len, param_len, NULL)) || !(a = BN_bin2bn(params + 1 * param_len, param_len, NULL)) || !(b = BN_bin2bn(params + 2 * param_len, param_len, NULL))) { OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB); goto err; } group = ec_group_new(curve->method); if (group == NULL || !group->meth->group_set_curve(group, p, a, b, ctx)) { OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB); goto err; } if ((P = EC_POINT_new(group)) == NULL) { OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB); goto err; } if (!(x = BN_bin2bn(params + 3 * param_len, param_len, NULL)) || !(y = BN_bin2bn(params + 4 * param_len, param_len, NULL))) { OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB); goto err; } if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) { OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB); goto err; } if (!BN_bin2bn(params + 5 * param_len, param_len, &group->order)) { OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB); goto err; } CRYPTO_once(&built_in_curve_scalar_field_monts_once, built_in_curve_scalar_field_monts_init); if (built_in_curve_scalar_field_monts != NULL) { group->mont_data = built_in_curve_scalar_field_monts[built_in_index]; } group->generator = P; P = NULL; ok = 1; err: if (!ok) { EC_GROUP_free(group); group = NULL; } EC_POINT_free(P); BN_CTX_free(ctx); BN_free(p); BN_free(a); BN_free(b); BN_free(x); BN_free(y); return group; } EC_GROUP *EC_GROUP_new_by_curve_name(int nid) { unsigned i; const struct built_in_curve *curve; EC_GROUP *ret = NULL; for (i = 0; OPENSSL_built_in_curves[i].nid != NID_undef; i++) { curve = &OPENSSL_built_in_curves[i]; if (curve->nid == nid) { ret = ec_group_new_from_data(i); break; } } if (ret == NULL) { OPENSSL_PUT_ERROR(EC, EC_R_UNKNOWN_GROUP); return NULL; } ret->curve_name = nid; return ret; } void EC_GROUP_free(EC_GROUP *group) { if (!group) { return; } if (group->meth->group_finish != 0) { group->meth->group_finish(group); } EC_POINT_free(group->generator); BN_free(&group->order); OPENSSL_free(group); } const BN_MONT_CTX *ec_group_get_mont_data(const EC_GROUP *group) { return group->mont_data; } EC_GROUP *EC_GROUP_dup(const EC_GROUP *a) { if (a == NULL) { return NULL; } if (a->meth->group_copy == NULL) { OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return NULL; } EC_GROUP *ret = ec_group_new(a->meth); if (ret == NULL) { return NULL; } ret->mont_data = a->mont_data; ret->curve_name = a->curve_name; if (a->generator != NULL) { ret->generator = EC_POINT_dup(a->generator, ret); if (ret->generator == NULL) { goto err; } } if (!BN_copy(&ret->order, &a->order) || !ret->meth->group_copy(ret, a)) { goto err; } return ret; err: EC_GROUP_free(ret); return NULL; } int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ignored) { return a->curve_name == NID_undef || b->curve_name == NID_undef || a->curve_name != b->curve_name; } const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) { return group->generator; } const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group) { assert(!BN_is_zero(&group->order)); return &group->order; } int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) { if (BN_copy(order, EC_GROUP_get0_order(group)) == NULL) { return 0; } return 1; } int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx) { /* All |EC_GROUP|s have cofactor 1. */ return BN_set_word(cofactor, 1); } int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p, BIGNUM *out_a, BIGNUM *out_b, BN_CTX *ctx) { return ec_GFp_simple_group_get_curve(group, out_p, out_a, out_b, ctx); } int EC_GROUP_get_curve_name(const EC_GROUP *group) { return group->curve_name; } unsigned EC_GROUP_get_degree(const EC_GROUP *group) { return ec_GFp_simple_group_get_degree(group); } EC_POINT *EC_POINT_new(const EC_GROUP *group) { EC_POINT *ret; if (group == NULL) { OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER); return NULL; } ret = OPENSSL_malloc(sizeof *ret); if (ret == NULL) { OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE); return NULL; } ret->meth = group->meth; if (!ec_GFp_simple_point_init(ret)) { OPENSSL_free(ret); return NULL; } return ret; } void EC_POINT_free(EC_POINT *point) { if (!point) { return; } ec_GFp_simple_point_finish(point); OPENSSL_free(point); } void EC_POINT_clear_free(EC_POINT *point) { if (!point) { return; } ec_GFp_simple_point_clear_finish(point); OPENSSL_cleanse(point, sizeof *point); OPENSSL_free(point); } int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) { if (dest->meth != src->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } if (dest == src) { return 1; } return ec_GFp_simple_point_copy(dest, src); } EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group) { if (a == NULL) { return NULL; } EC_POINT *ret = EC_POINT_new(group); if (ret == NULL || !EC_POINT_copy(ret, a)) { EC_POINT_free(ret); return NULL; } return ret; } int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) { if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_point_set_to_infinity(group, point); } int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) { if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_is_at_infinity(group, point); } int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx) { if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_is_on_curve(group, point, ctx); } int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx) { if ((group->meth != a->meth) || (a->meth != b->meth)) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return -1; } return ec_GFp_simple_cmp(group, a, b, ctx); } int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) { if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_make_affine(group, point, ctx); } int EC_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 != points[i]->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } } return ec_GFp_simple_points_make_affine(group, num, points, 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 == 0) { OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->point_get_affine_coordinates(group, point, x, y, 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->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } if (!ec_GFp_simple_point_set_affine_coordinates(group, point, x, y, ctx)) { return 0; } if (!EC_POINT_is_on_curve(group, point, ctx)) { OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE); return 0; } return 1; } int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx) { if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth)) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_add(group, r, a, b, ctx); } int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx) { if ((group->meth != r->meth) || (r->meth != a->meth)) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_dbl(group, r, a, ctx); } int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx) { if (group->meth != a->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_invert(group, a, ctx); } int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, const EC_POINT *p, const BIGNUM *p_scalar, BN_CTX *ctx) { /* Previously, this function set |r| to the point at infinity if there was * nothing to multiply. But, nobody should be calling this function with * nothing to multiply in the first place. */ if ((g_scalar == NULL && p_scalar == NULL) || ((p == NULL) != (p_scalar == NULL))) { OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER); return 0; } if (group->meth != r->meth || (p != NULL && group->meth != p->meth)) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->mul(group, r, g_scalar, p, p_scalar, ctx); } 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->meth) { OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return ec_GFp_simple_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx); } void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag) {} const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) { return NULL; } int EC_METHOD_get_field_type(const EC_METHOD *meth) { return NID_X9_62_prime_field; } void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form) { if (form != POINT_CONVERSION_UNCOMPRESSED) { abort(); } } size_t EC_get_builtin_curves(EC_builtin_curve *out_curves, size_t max_num_curves) { unsigned num_built_in_curves; for (num_built_in_curves = 0;; num_built_in_curves++) { if (OPENSSL_built_in_curves[num_built_in_curves].nid == NID_undef) { break; } } unsigned i; for (i = 0; i < max_num_curves && i < num_built_in_curves; i++) { out_curves[i].comment = OPENSSL_built_in_curves[i].data->comment; out_curves[i].nid = OPENSSL_built_in_curves[i].nid; } return num_built_in_curves; }