/* crypto/ec/ec_lib.c */ /* * Originally written by Bodo Moeller for the OpenSSL project. */ /* ==================================================================== * Copyright (c) 1998-2003 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. * Binary polynomial ECC support in OpenSSL originally developed by * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project. */ #include <string.h> #include <openssl/err.h> #include <openssl/opensslv.h> #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, EC_R_SLOT_FULL); 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->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_EX_DATA_free_all_data(&group->extra_data); 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->group_finish != 0) group->meth->group_finish(group); EC_EX_DATA_clear_free_all_data(&group->extra_data); if (group->generator != NULL) EC_POINT_clear_free(group->generator); BN_clear_free(&group->order); BN_clear_free(&group->cofactor); if (group->seed) { OPENSSL_cleanse(group->seed, group->seed_len); OPENSSL_free(group->seed); } OPENSSL_cleanse(group, sizeof *group); OPENSSL_free(group); } int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) { EC_EXTRA_DATA *d; 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_EX_DATA_free_all_data(&dest->extra_data); for (d = src->extra_data; d != NULL; d = d->next) { void *t = d->dup_func(d->data); if (t == NULL) return 0; if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func, d->free_func, d->clear_free_func)) return 0; } 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); } 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; } 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 BN_zero(&group->order); if (cofactor != NULL) { if (!BN_copy(&group->cofactor, cofactor)) return 0; } else BN_zero(&group->cofactor); return 1; } 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); } void EC_GROUP_set_curve_name(EC_GROUP *group, int nid) { group->curve_name = nid; } int EC_GROUP_get_curve_name(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 == 0) { ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, 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_GFp(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_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } return group->meth->group_get_curve(group, p, a, b, ctx); } #ifndef OPENSSL_NO_EC2M 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); } #endif 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); } 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); } int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx) { int r = 0; BIGNUM *a1, *a2, *a3, *b1, *b2, *b3; BN_CTX *ctx_new = NULL; /* compare the field types*/ if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) != EC_METHOD_get_field_type(EC_GROUP_method_of(b))) return 1; /* compare the curve name (if present) */ if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) && EC_GROUP_get_curve_name(a) == EC_GROUP_get_curve_name(b)) return 0; if (!ctx) ctx_new = ctx = BN_CTX_new(); if (!ctx) return -1; BN_CTX_start(ctx); a1 = BN_CTX_get(ctx); a2 = BN_CTX_get(ctx); a3 = BN_CTX_get(ctx); b1 = BN_CTX_get(ctx); b2 = BN_CTX_get(ctx); b3 = BN_CTX_get(ctx); if (!b3) { BN_CTX_end(ctx); if (ctx_new) BN_CTX_free(ctx); return -1; } /* XXX This approach assumes that the external representation * of curves over the same field type is the same. */ if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) || !b->meth->group_get_curve(b, b1, b2, b3, ctx)) r = 1; if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3)) r = 1; /* XXX EC_POINT_cmp() assumes that the methods are equal */ if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a), EC_GROUP_get0_generator(b), ctx)) r = 1; if (!r) { /* compare the order and cofactor */ if (!EC_GROUP_get_order(a, a1, ctx) || !EC_GROUP_get_order(b, b1, ctx) || !EC_GROUP_get_cofactor(a, a2, ctx) || !EC_GROUP_get_cofactor(b, b2, ctx)) { BN_CTX_end(ctx); if (ctx_new) BN_CTX_free(ctx); return -1; } if (BN_cmp(a1, b1) || BN_cmp(a2, b2)) r = 1; } BN_CTX_end(ctx); if (ctx_new) BN_CTX_free(ctx); return r; } /* this has 'package' visibility */ int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)) { EC_EXTRA_DATA *d; if (ex_data == NULL) return 0; for (d = *ex_data; d != NULL; d = d->next) { if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func) { ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL); return 0; } } if (data == NULL) /* no explicit entry needed */ return 1; d = OPENSSL_malloc(sizeof *d); if (d == NULL) return 0; d->data = data; d->dup_func = dup_func; d->free_func = free_func; d->clear_free_func = clear_free_func; d->next = *ex_data; *ex_data = d; return 1; } /* this has 'package' visibility */ void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)) { const EC_EXTRA_DATA *d; for (d = ex_data; d != NULL; d = d->next) { if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func) return d->data; } return NULL; } /* this has 'package' visibility */ void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)) { EC_EXTRA_DATA **p; if (ex_data == NULL) return; for (p = ex_data; *p != NULL; p = &((*p)->next)) { if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func) { EC_EXTRA_DATA *next = (*p)->next; (*p)->free_func((*p)->data); OPENSSL_free(*p); *p = next; return; } } } /* this has 'package' visibility */ void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)) { EC_EXTRA_DATA **p; if (ex_data == NULL) return; for (p = ex_data; *p != NULL; p = &((*p)->next)) { if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func) { EC_EXTRA_DATA *next = (*p)->next; (*p)->clear_free_func((*p)->data); OPENSSL_free(*p); *p = next; return; } } } /* this has 'package' visibility */ void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data) { EC_EXTRA_DATA *d; if (ex_data == NULL) return; d = *ex_data; while (d) { EC_EXTRA_DATA *next = d->next; d->free_func(d->data); OPENSSL_free(d); d = next; } *ex_data = NULL; } /* this has 'package' visibility */ void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data) { EC_EXTRA_DATA *d; if (ex_data == NULL) return; d = *ex_data; while (d) { EC_EXTRA_DATA *next = d->next; d->clear_free_func(d->data); OPENSSL_free(d); d = next; } *ex_data = NULL; } /* 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->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) { 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); } 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; } 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 == 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(group, point, x, y, ctx); } #ifndef OPENSSL_NO_EC2M 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); } #endif 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) { 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(group, point, x, y, ctx); } #ifndef OPENSSL_NO_EC2M 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); } #endif 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_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); return 0; } if (group->meth != a->meth) { ECerr(EC_F_EC_POINT_INVERT, 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); } /* Functions for point multiplication. * * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c; * otherwise we dispatch through methods. */ 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 */ 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_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_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); else 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); else return 0; /* cannot tell whether precomputation has been performed */ }