/* 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 "internal.h" static const struct curve_data P224 = { "NIST P-224", 28, 1, {/* 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, 1, {/* 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, 1, {/* 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, 1, {/* 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}}; const struct built_in_curve OPENSSL_built_in_curves[] = { {NID_secp224r1, &P224, 0}, {NID_X9_62_prime256v1, &P256, 0}, {NID_secp384r1, &P384, 0}, {NID_secp521r1, &P521, 0}, {NID_undef, 0, 0}, }; EC_GROUP *ec_group_new(const EC_METHOD *meth) { EC_GROUP *ret; if (meth == NULL) { OPENSSL_PUT_ERROR(EC, ec_group_new, EC_R_SLOT_FULL); return NULL; } if (meth->group_init == 0) { OPENSSL_PUT_ERROR(EC, ec_group_new, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return NULL; } ret = OPENSSL_malloc(sizeof(EC_GROUP)); if (ret == NULL) { OPENSSL_PUT_ERROR(EC, ec_group_new, ERR_R_MALLOC_FAILURE); return NULL; } memset(ret, 0, sizeof(EC_GROUP)); ret->meth = meth; BN_init(&ret->order); BN_init(&ret->cofactor); ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED; if (!meth->group_init(ret)) { OPENSSL_free(ret); return NULL; } return ret; } static EC_GROUP *ec_group_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) { const EC_METHOD *meth = EC_GFp_mont_method(); EC_GROUP *ret; ret = ec_group_new(meth); if (ret == NULL) { return NULL; } if (ret->meth->group_set_curve == 0) { OPENSSL_PUT_ERROR(EC, ec_group_new_curve_GFp, 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; } static EC_GROUP *ec_group_new_from_data(const struct built_in_curve *curve) { EC_GROUP *group = NULL; EC_POINT *P = NULL; BN_CTX *ctx = NULL; BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order = NULL; int ok = 0; unsigned param_len; const EC_METHOD *meth; const struct curve_data *data; const uint8_t *params; if ((ctx = BN_CTX_new()) == NULL) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_MALLOC_FAILURE); goto err; } data = curve->data; param_len = data->param_len; 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, ec_group_new_from_data, ERR_R_BN_LIB); goto err; } if (curve->method != 0) { meth = curve->method(); if (((group = ec_group_new(meth)) == NULL) || (!(group->meth->group_set_curve(group, p, a, b, ctx)))) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB); goto err; } } else { if ((group = ec_group_new_curve_GFp(p, a, b, ctx)) == NULL) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB); goto err; } } if ((P = EC_POINT_new(group)) == NULL) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, 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, ec_group_new_from_data, ERR_R_BN_LIB); goto err; } if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB); goto err; } if (!(order = BN_bin2bn(params + 5 * param_len, param_len, NULL)) || !BN_set_word(x, (BN_ULONG)data->cofactor)) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_BN_LIB); goto err; } group->generator = P; P = NULL; if (!BN_copy(&group->order, order) || !BN_set_word(&group->cofactor, (BN_ULONG)data->cofactor)) { OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_BN_LIB); goto err; } ok = 1; err: if (!ok) { EC_GROUP_free(group); group = NULL; } if (P) EC_POINT_free(P); if (ctx) BN_CTX_free(ctx); if (p) BN_free(p); 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_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(curve); break; } } if (ret == NULL) { OPENSSL_PUT_ERROR(EC, EC_GROUP_new_by_curve_name, 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_pre_comp_free(group->pre_comp); if (group->generator != NULL) { EC_POINT_free(group->generator); } BN_free(&group->order); BN_free(&group->cofactor); OPENSSL_free(group); } int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) { if (dest->meth->group_copy == 0) { OPENSSL_PUT_ERROR(EC, EC_GROUP_copy, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (dest->meth != src->meth) { OPENSSL_PUT_ERROR(EC, EC_GROUP_copy, EC_R_INCOMPATIBLE_OBJECTS); return 0; } if (dest == src) { return 1; } ec_pre_comp_free(dest->pre_comp); dest->pre_comp = ec_pre_comp_dup(src->pre_comp); if (src->generator != NULL) { if (dest->generator == NULL) { dest->generator = EC_POINT_new(dest); if (dest->generator == NULL) { return 0; } } if (!EC_POINT_copy(dest->generator, src->generator)) { return 0; } } else { /* src->generator == NULL */ if (dest->generator != NULL) { EC_POINT_clear_free(dest->generator); dest->generator = NULL; } } if (!BN_copy(&dest->order, &src->order) || !BN_copy(&dest->cofactor, &src->cofactor)) { return 0; } dest->curve_name = src->curve_name; dest->asn1_form = src->asn1_form; return dest->meth->group_copy(dest, src); } EC_GROUP *EC_GROUP_dup(const EC_GROUP *a) { EC_GROUP *t = NULL; int ok = 0; if (a == NULL) { return NULL; } t = ec_group_new(a->meth); if (t == 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; } } int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b) { if (a->curve_name == NID_undef || b->curve_name == NID_undef) { return 0; } return a->curve_name == b->curve_name; } const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) { return group->generator; } int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) { if (!BN_copy(order, &group->order)) { return 0; } return !BN_is_zero(order); } int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx) { if (!BN_copy(cofactor, &group->cofactor)) { return 0; } return !BN_is_zero(&group->cofactor); } int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p, BIGNUM *out_a, BIGNUM *out_b, BN_CTX *ctx) { if (group->meth->group_get_curve == 0) { OPENSSL_PUT_ERROR(EC, EC_GROUP_get_curve_GFp, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } return group->meth->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; } int EC_GROUP_get_degree(const EC_GROUP *group) { if (group->meth->group_get_degree == 0) { OPENSSL_PUT_ERROR(EC, EC_GROUP_get_degree, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } return group->meth->group_get_degree(group); } void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form) { group->asn1_form = form; } int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) { if (group->meth->mul == 0) { /* use default */ return ec_wNAF_precompute_mult(group, ctx); } if (group->meth->precompute_mult != 0) { return group->meth->precompute_mult(group, ctx); } return 1; /* nothing to do, so report success */ } int EC_GROUP_have_precompute_mult(const EC_GROUP *group) { if (group->meth->mul == 0) { /* use default */ return ec_wNAF_have_precompute_mult(group); } if (group->meth->have_precompute_mult != 0) { return group->meth->have_precompute_mult(group); } return 0; /* cannot tell whether precomputation has been performed */ } EC_POINT *EC_POINT_new(const EC_GROUP *group) { EC_POINT *ret; if (group == NULL) { OPENSSL_PUT_ERROR(EC, EC_POINT_new, ERR_R_PASSED_NULL_PARAMETER); return NULL; } if (group->meth->point_init == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_new, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return NULL; } ret = OPENSSL_malloc(sizeof *ret); if (ret == NULL) { OPENSSL_PUT_ERROR(EC, EC_POINT_new, ERR_R_MALLOC_FAILURE); return NULL; } ret->meth = group->meth; if (!ret->meth->point_init(ret)) { OPENSSL_free(ret); return NULL; } return ret; } void EC_POINT_free(EC_POINT *point) { if (!point) { return; } if (point->meth->point_finish != 0) { point->meth->point_finish(point); } OPENSSL_free(point); } void EC_POINT_clear_free(EC_POINT *point) { if (!point) { return; } if (point->meth->point_clear_finish != 0) { point->meth->point_clear_finish(point); } else if (point->meth->point_finish != 0) { point->meth->point_finish(point); } OPENSSL_cleanse(point, sizeof *point); OPENSSL_free(point); } int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) { if (dest->meth->point_copy == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_copy, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (dest->meth != src->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_copy, EC_R_INCOMPATIBLE_OBJECTS); return 0; } if (dest == src) { return 1; } return dest->meth->point_copy(dest, 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) { OPENSSL_PUT_ERROR(EC, EC_POINT_dup, ERR_R_MALLOC_FAILURE); return NULL; } r = EC_POINT_copy(t, a); if (!r) { EC_POINT_free(t); return NULL; } else { return t; } } int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) { if (group->meth->point_set_to_infinity == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_set_to_infinity, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_set_to_infinity, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->point_set_to_infinity(group, point); } int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) { if (group->meth->is_at_infinity == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_is_at_infinity, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_is_at_infinity, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->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->is_on_curve == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_is_on_curve, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_is_on_curve, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->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->point_cmp == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_cmp, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return -1; } if ((group->meth != a->meth) || (a->meth != b->meth)) { OPENSSL_PUT_ERROR(EC, EC_POINT_cmp, EC_R_INCOMPATIBLE_OBJECTS); return -1; } return group->meth->point_cmp(group, a, b, ctx); } int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) { if (group->meth->make_affine == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_make_affine, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_make_affine, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->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; if (group->meth->points_make_affine == 0) { OPENSSL_PUT_ERROR(EC, EC_POINTs_make_affine, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } for (i = 0; i < num; i++) { if (group->meth != points[i]->meth) { OPENSSL_PUT_ERROR(EC, EC_POINTs_make_affine, EC_R_INCOMPATIBLE_OBJECTS); return 0; } } return group->meth->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, EC_POINT_get_affine_coordinates_GFp, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_get_affine_coordinates_GFp, 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_set_affine_coordinates == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_set_affine_coordinates_GFp, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_set_affine_coordinates_GFp, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->point_set_affine_coordinates(group, point, x, y, ctx); } 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->add == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_add, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth)) { OPENSSL_PUT_ERROR(EC, EC_POINT_add, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->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->dbl == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_dbl, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if ((group->meth != r->meth) || (r->meth != a->meth)) { OPENSSL_PUT_ERROR(EC, EC_POINT_dbl, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->dbl(group, r, a, ctx); } int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx) { if (group->meth->invert == 0) { OPENSSL_PUT_ERROR(EC, EC_POINT_invert, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != a->meth) { OPENSSL_PUT_ERROR(EC, EC_POINT_invert, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->invert(group, a, 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) { /* just a convenient interface to EC_POINTs_mul() */ const EC_POINT *points[1]; const BIGNUM *scalars[1]; points[0] = point; scalars[0] = p_scalar; return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL), points, scalars, ctx); } 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) { /* use default. Warning, not constant-time. */ return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); } return group->meth->mul(group, r, scalar, num, points, scalars, 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_set_Jprojective_coordinates_GFp == 0) { OPENSSL_PUT_ERROR(EC, ec_point_set_Jprojective_coordinates_GFp, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { OPENSSL_PUT_ERROR(EC, 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); }