/* crypto/ec/ec_lib.c */ /* ==================================================================== * 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 #include #include "ec_lcl.h" static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT; /* functions for EC_GROUP objects */ EC_GROUP *EC_GROUP_new(const EC_METHOD *meth) { EC_GROUP *ret; if (meth == NULL) { ECerr(EC_F_EC_GROUP_NEW, ERR_R_PASSED_NULL_PARAMETER); return NULL; } if (meth->group_init == 0) { ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return NULL; } ret = OPENSSL_malloc(sizeof *ret); if (ret == NULL) { ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE); return NULL; } ret->meth = meth; ret->extra_data = NULL; ret->extra_data_dup_func = 0; ret->extra_data_free_func = 0; ret->extra_data_clear_free_func = 0; ret->generator = NULL; BN_init(&ret->order); BN_init(&ret->cofactor); ret->curve_name = 0; ret->asn1_flag = 0; ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED; ret->seed = NULL; ret->seed_len = 0; if (!meth->group_init(ret)) { OPENSSL_free(ret); return NULL; } return ret; } void EC_GROUP_free(EC_GROUP *group) { if (!group) return; if (group->meth->group_finish != 0) group->meth->group_finish(group); EC_GROUP_free_extra_data(group); if (group->generator != NULL) EC_POINT_free(group->generator); BN_free(&group->order); BN_free(&group->cofactor); if (group->seed) OPENSSL_free(group->seed); OPENSSL_free(group); } void EC_GROUP_clear_free(EC_GROUP *group) { if (!group) return; if (group->meth->group_clear_finish != 0) group->meth->group_clear_finish(group); else if (group->meth != NULL && group->meth->group_finish != 0) group->meth->group_finish(group); EC_GROUP_clear_free_extra_data(group); if (group->generator != NULL) EC_POINT_clear_free(group->generator); BN_clear_free(&group->order); BN_clear_free(&group->cofactor); if (group->seed) { memset(group->seed, 0, group->seed_len); OPENSSL_free(group->seed); } memset(group, 0, sizeof *group); OPENSSL_free(group); } int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) { if (dest->meth->group_copy == 0) { ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (dest->meth != src->meth) { ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS); return 0; } if (dest == src) return 1; EC_GROUP_clear_free_extra_data(dest); if (src->extra_data_dup_func) { if (src->extra_data != NULL) { dest->extra_data = src->extra_data_dup_func(src->extra_data); if (dest->extra_data == NULL) return 0; } dest->extra_data_dup_func = src->extra_data_dup_func; dest->extra_data_free_func = src->extra_data_free_func; dest->extra_data_clear_free_func = src->extra_data_clear_free_func; } 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)) return 0; if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0; dest->curve_name = src->curve_name; dest->asn1_flag = src->asn1_flag; dest->asn1_form = src->asn1_form; if (src->seed) { if (dest->seed) OPENSSL_free(dest->seed); dest->seed = OPENSSL_malloc(src->seed_len); if (dest->seed == NULL) return 0; if (!memcpy(dest->seed, src->seed, src->seed_len)) return 0; dest->seed_len = src->seed_len; } else { if (dest->seed) OPENSSL_free(dest->seed); dest->seed = NULL; dest->seed_len = 0; } return dest->meth->group_copy(dest, src); } const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) { return group->meth; } int EC_METHOD_get_field_type(const EC_METHOD *meth) { return meth->field_type; } int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor) { if (generator == NULL) { ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER); return 0 ; } if (group->generator == NULL) { group->generator = EC_POINT_new(group); if (group->generator == NULL) return 0; } if (!EC_POINT_copy(group->generator, generator)) return 0; if (order != NULL) { if (!BN_copy(&group->order, order)) return 0; } else { if (!BN_zero(&group->order)) return 0; } if (cofactor != NULL) { if (!BN_copy(&group->cofactor, cofactor)) return 0; } else { if (!BN_zero(&group->cofactor)) return 0; } return 1; } 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); } void EC_GROUP_set_nid(EC_GROUP *group, int nid) { group->curve_name = nid; } int EC_GROUP_get_nid(const EC_GROUP *group) { return group->curve_name; } void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag) { group->asn1_flag = flag; } int EC_GROUP_get_asn1_flag(const EC_GROUP *group) { return group->asn1_flag; } void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form) { group->asn1_form = form; } point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *group) { return group->asn1_form; } size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len) { if (group->seed) { OPENSSL_free(group->seed); group->seed = NULL; group->seed_len = 0; } if (!len || !p) return 1; if ((group->seed = OPENSSL_malloc(len)) == NULL) return 0; memcpy(group->seed, p, len); group->seed_len = len; return len; } unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group) { return group->seed; } size_t EC_GROUP_get_seed_len(const EC_GROUP *group) { return group->seed_len; } 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) { 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); } 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) { 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); } int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx) { if (group->meth->group_check_discriminant == 0) { ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } return group->meth->group_check_discriminant(group, ctx); } /* this has 'package' visibility */ int EC_GROUP_set_extra_data(EC_GROUP *group, void *extra_data, void *(*extra_data_dup_func)(void *), void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *)) { if ((group->extra_data != NULL) || (group->extra_data_dup_func != 0) || (group->extra_data_free_func != 0) || (group->extra_data_clear_free_func != 0)) { ECerr(EC_F_EC_GROUP_SET_EXTRA_DATA, EC_R_SLOT_FULL); return 0; } group->extra_data = extra_data; group->extra_data_dup_func = extra_data_dup_func; group->extra_data_free_func = extra_data_free_func; group->extra_data_clear_free_func = extra_data_clear_free_func; return 1; } /* this has 'package' visibility */ void *EC_GROUP_get_extra_data(const EC_GROUP *group, void *(*extra_data_dup_func)(void *), void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *)) { if ((group->extra_data_dup_func != extra_data_dup_func) || (group->extra_data_free_func != extra_data_free_func) || (group->extra_data_clear_free_func != extra_data_clear_free_func)) { ECerr(EC_F_EC_GROUP_GET_EXTRA_DATA, EC_R_NO_SUCH_EXTRA_DATA); return NULL; } return group->extra_data; } /* this has 'package' visibility */ void EC_GROUP_free_extra_data(EC_GROUP *group) { if (group->extra_data_free_func) group->extra_data_free_func(group->extra_data); group->extra_data = NULL; group->extra_data_dup_func = 0; group->extra_data_free_func = 0; group->extra_data_clear_free_func = 0; } /* this has 'package' visibility */ void EC_GROUP_clear_free_extra_data(EC_GROUP *group) { if (group->extra_data_clear_free_func) group->extra_data_clear_free_func(group->extra_data); else if (group->extra_data_free_func) group->extra_data_free_func(group->extra_data); group->extra_data = NULL; group->extra_data_dup_func = 0; group->extra_data_free_func = 0; group->extra_data_clear_free_func = 0; } /* functions for EC_POINT objects */ EC_POINT *EC_POINT_new(const EC_GROUP *group) { EC_POINT *ret; if (group == NULL) { ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER); return NULL; } if (group->meth->point_init == 0) { ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return NULL; } ret = OPENSSL_malloc(sizeof *ret); if (ret == NULL) { ECerr(EC_F_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 != NULL && point->meth->point_finish != 0) point->meth->point_finish(point); memset(point, 0, sizeof *point); OPENSSL_free(point); } int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) { if (dest->meth->point_copy == 0) { ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (dest->meth != src->meth) { ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS); return 0; } if (dest == src) return 1; return dest->meth->point_copy(dest, src); } const EC_METHOD *EC_POINT_method_of(const EC_POINT *point) { return point->meth; } int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) { if (group->meth->point_set_to_infinity == 0) { ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->point_set_to_infinity(group, 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) { ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { 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); } 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) { ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { 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); } 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) { ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { 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); } 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) { ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { 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); } 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) { ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { 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); } size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *ctx) { if (group->meth->point2oct == 0) { ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->point2oct(group, point, form, buf, len, ctx); } int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point, const unsigned char *buf, size_t len, BN_CTX *ctx) { if (group->meth->oct2point == 0) { ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->oct2point(group, point, buf, len, 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) { ECerr(EC_F_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)) { ECerr(EC_F_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) { ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if ((group->meth != r->meth) || (r->meth != a->meth)) { ECerr(EC_F_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->dbl == 0) { ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != a->meth) { ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS); return 0; } return group->meth->invert(group, a, ctx); } int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) { if (group->meth->is_at_infinity == 0) { ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { ECerr(EC_F_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) { ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { ECerr(EC_F_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) { ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if ((group->meth != a->meth) || (a->meth != b->meth)) { ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS); return 0; } 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) { ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != point->meth) { ECerr(EC_F_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) { ECerr(EC_F_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) { ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS); return 0; } } return group->meth->points_make_affine(group, num, points, ctx); }