/* Originally written by Bodo Moeller and Nils Larsch 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 "internal.h" int ec_GFp_mont_group_init(EC_GROUP *group) { int ok; ok = ec_GFp_simple_group_init(group); group->mont = NULL; return ok; } void ec_GFp_mont_group_finish(EC_GROUP *group) { BN_MONT_CTX_free(group->mont); group->mont = NULL; ec_GFp_simple_group_finish(group); } int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src) { BN_MONT_CTX_free(dest->mont); dest->mont = NULL; if (!ec_GFp_simple_group_copy(dest, src)) { return 0; } if (src->mont != NULL) { dest->mont = BN_MONT_CTX_new(); if (dest->mont == NULL) { return 0; } if (!BN_MONT_CTX_copy(dest->mont, src->mont)) { goto err; } } return 1; err: BN_MONT_CTX_free(dest->mont); dest->mont = NULL; return 0; } int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) { BN_CTX *new_ctx = NULL; BN_MONT_CTX *mont = NULL; int ret = 0; BN_MONT_CTX_free(group->mont); group->mont = NULL; if (ctx == NULL) { ctx = new_ctx = BN_CTX_new(); if (ctx == NULL) { return 0; } } mont = BN_MONT_CTX_new(); if (mont == NULL) { goto err; } if (!BN_MONT_CTX_set(mont, p, ctx)) { OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB); goto err; } group->mont = mont; mont = NULL; ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); if (!ret) { BN_MONT_CTX_free(group->mont); group->mont = NULL; } err: BN_CTX_free(new_ctx); BN_MONT_CTX_free(mont); return ret; } int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) { if (group->mont == NULL) { OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED); return 0; } return BN_mod_mul_montgomery(r, a, b, group->mont, ctx); } int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) { if (group->mont == NULL) { OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED); return 0; } return BN_mod_mul_montgomery(r, a, a, group->mont, ctx); } int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) { if (group->mont == NULL) { OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED); return 0; } return BN_to_montgomery(r, a, group->mont, ctx); } int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) { if (group->mont == NULL) { OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED); return 0; } return BN_from_montgomery(r, a, group->mont, ctx); } static int ec_GFp_mont_check_pub_key_order(const EC_GROUP *group, const EC_POINT* pub_key, BN_CTX *ctx) { EC_POINT *point = EC_POINT_new(group); int ret = 0; if (point == NULL || !ec_wNAF_mul(group, point, NULL, pub_key, EC_GROUP_get0_order(group), ctx) || !EC_POINT_is_at_infinity(group, point)) { goto err; } ret = 1; err: EC_POINT_free(point); return ret; } static int ec_GFp_mont_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx) { BN_CTX *new_ctx = NULL; BIGNUM *Z, *Z_1, *Z_2, *Z_3; int ret = 0; if (EC_POINT_is_at_infinity(group, point)) { OPENSSL_PUT_ERROR(EC, EC_R_POINT_AT_INFINITY); return 0; } if (ctx == NULL) { ctx = new_ctx = BN_CTX_new(); if (ctx == NULL) { return 0; } } BN_CTX_start(ctx); Z = BN_CTX_get(ctx); Z_1 = BN_CTX_get(ctx); Z_2 = BN_CTX_get(ctx); Z_3 = BN_CTX_get(ctx); if (Z == NULL || Z_1 == NULL || Z_2 == NULL || Z_3 == NULL) { goto err; } /* transform (X, Y, Z) into (x, y) := (X/Z^2, Y/Z^3) */ if (!group->meth->field_decode(group, Z, &point->Z, ctx)) { goto err; } if (BN_is_one(Z)) { if (x != NULL && !group->meth->field_decode(group, x, &point->X, ctx)) { goto err; } if (y != NULL && !group->meth->field_decode(group, y, &point->Y, ctx)) { goto err; } } else { if (!BN_mod_inverse(Z_1, Z, &group->field, ctx)) { OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB); goto err; } if (!BN_mod_sqr(Z_2, Z_1, &group->field, ctx)) { goto err; } /* in the Montgomery case, field_mul will cancel out Montgomery factor in * X: */ if (x != NULL && !group->meth->field_mul(group, x, &point->X, Z_2, ctx)) { goto err; } if (y != NULL) { if (!BN_mod_mul(Z_3, Z_2, Z_1, &group->field, ctx)) { goto err; } /* in the Montgomery case, field_mul will cancel out Montgomery factor in * Y: */ if (!group->meth->field_mul(group, y, &point->Y, Z_3, ctx)) { goto err; } } } ret = 1; err: BN_CTX_end(ctx); BN_CTX_free(new_ctx); return ret; } const EC_METHOD *EC_GFp_mont_method(void) { static const EC_METHOD ret = { ec_GFp_mont_group_init, ec_GFp_mont_group_finish, ec_GFp_mont_group_copy, ec_GFp_mont_group_set_curve, ec_GFp_mont_point_get_affine_coordinates, ec_wNAF_mul /* XXX: Not constant time. */, ec_GFp_mont_check_pub_key_order, ec_GFp_mont_field_mul, ec_GFp_mont_field_sqr, ec_GFp_mont_field_encode, ec_GFp_mont_field_decode, }; return &ret; }