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			1210 lines
		
	
	
	
		
			33 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			1210 lines
		
	
	
	
		
			33 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /*
 | |
|  * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
 | |
|  * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
 | |
|  *
 | |
|  * Licensed under the OpenSSL license (the "License").  You may not use
 | |
|  * this file except in compliance with the License.  You can obtain a copy
 | |
|  * in the file LICENSE in the source distribution or at
 | |
|  * https://www.openssl.org/source/license.html
 | |
|  */
 | |
| 
 | |
| #include <string.h>
 | |
| 
 | |
| #include <openssl/err.h>
 | |
| #include <openssl/opensslv.h>
 | |
| 
 | |
| #include "ec_local.h"
 | |
| 
 | |
| /* 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_zalloc(sizeof(*ret));
 | |
|     if (ret == NULL) {
 | |
|         ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
 | |
|         return NULL;
 | |
|     }
 | |
| 
 | |
|     ret->meth = meth;
 | |
|     if ((ret->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
 | |
|         ret->order = BN_new();
 | |
|         if (ret->order == NULL)
 | |
|             goto err;
 | |
|         ret->cofactor = BN_new();
 | |
|         if (ret->cofactor == NULL)
 | |
|             goto err;
 | |
|     }
 | |
|     ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
 | |
|     ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
 | |
|     if (!meth->group_init(ret))
 | |
|         goto err;
 | |
|     return ret;
 | |
| 
 | |
|  err:
 | |
|     BN_free(ret->order);
 | |
|     BN_free(ret->cofactor);
 | |
|     OPENSSL_free(ret);
 | |
|     return NULL;
 | |
| }
 | |
| 
 | |
| void EC_pre_comp_free(EC_GROUP *group)
 | |
| {
 | |
|     switch (group->pre_comp_type) {
 | |
|     case PCT_none:
 | |
|         break;
 | |
|     case PCT_nistz256:
 | |
| #ifdef ECP_NISTZ256_ASM
 | |
|         EC_nistz256_pre_comp_free(group->pre_comp.nistz256);
 | |
| #endif
 | |
|         break;
 | |
| #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 | |
|     case PCT_nistp224:
 | |
|         EC_nistp224_pre_comp_free(group->pre_comp.nistp224);
 | |
|         break;
 | |
|     case PCT_nistp256:
 | |
|         EC_nistp256_pre_comp_free(group->pre_comp.nistp256);
 | |
|         break;
 | |
|     case PCT_nistp521:
 | |
|         EC_nistp521_pre_comp_free(group->pre_comp.nistp521);
 | |
|         break;
 | |
| #else
 | |
|     case PCT_nistp224:
 | |
|     case PCT_nistp256:
 | |
|     case PCT_nistp521:
 | |
|         break;
 | |
| #endif
 | |
|     case PCT_ec:
 | |
|         EC_ec_pre_comp_free(group->pre_comp.ec);
 | |
|         break;
 | |
|     }
 | |
|     group->pre_comp.ec = NULL;
 | |
| }
 | |
| 
 | |
| 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);
 | |
|     BN_MONT_CTX_free(group->mont_data);
 | |
|     EC_POINT_free(group->generator);
 | |
|     BN_free(group->order);
 | |
|     BN_free(group->cofactor);
 | |
|     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_pre_comp_free(group);
 | |
|     BN_MONT_CTX_free(group->mont_data);
 | |
|     EC_POINT_clear_free(group->generator);
 | |
|     BN_clear_free(group->order);
 | |
|     BN_clear_free(group->cofactor);
 | |
|     OPENSSL_clear_free(group->seed, group->seed_len);
 | |
|     OPENSSL_clear_free(group, sizeof(*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;
 | |
| 
 | |
|     dest->curve_name = src->curve_name;
 | |
| 
 | |
|     /* Copy precomputed */
 | |
|     dest->pre_comp_type = src->pre_comp_type;
 | |
|     switch (src->pre_comp_type) {
 | |
|     case PCT_none:
 | |
|         dest->pre_comp.ec = NULL;
 | |
|         break;
 | |
|     case PCT_nistz256:
 | |
| #ifdef ECP_NISTZ256_ASM
 | |
|         dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256);
 | |
| #endif
 | |
|         break;
 | |
| #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 | |
|     case PCT_nistp224:
 | |
|         dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224);
 | |
|         break;
 | |
|     case PCT_nistp256:
 | |
|         dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256);
 | |
|         break;
 | |
|     case PCT_nistp521:
 | |
|         dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521);
 | |
|         break;
 | |
| #else
 | |
|     case PCT_nistp224:
 | |
|     case PCT_nistp256:
 | |
|     case PCT_nistp521:
 | |
|         break;
 | |
| #endif
 | |
|     case PCT_ec:
 | |
|         dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec);
 | |
|         break;
 | |
|     }
 | |
| 
 | |
|     if (src->mont_data != NULL) {
 | |
|         if (dest->mont_data == NULL) {
 | |
|             dest->mont_data = BN_MONT_CTX_new();
 | |
|             if (dest->mont_data == NULL)
 | |
|                 return 0;
 | |
|         }
 | |
|         if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
 | |
|             return 0;
 | |
|     } else {
 | |
|         /* src->generator == NULL */
 | |
|         BN_MONT_CTX_free(dest->mont_data);
 | |
|         dest->mont_data = NULL;
 | |
|     }
 | |
| 
 | |
|     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 */
 | |
|         EC_POINT_clear_free(dest->generator);
 | |
|         dest->generator = NULL;
 | |
|     }
 | |
| 
 | |
|     if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
 | |
|         if (!BN_copy(dest->order, src->order))
 | |
|             return 0;
 | |
|         if (!BN_copy(dest->cofactor, src->cofactor))
 | |
|             return 0;
 | |
|     }
 | |
| 
 | |
|     dest->asn1_flag = src->asn1_flag;
 | |
|     dest->asn1_form = src->asn1_form;
 | |
|     dest->decoded_from_explicit_params = src->decoded_from_explicit_params;
 | |
| 
 | |
|     if (src->seed) {
 | |
|         OPENSSL_free(dest->seed);
 | |
|         if ((dest->seed = OPENSSL_malloc(src->seed_len)) == NULL) {
 | |
|             ECerr(EC_F_EC_GROUP_COPY, ERR_R_MALLOC_FAILURE);
 | |
|             return 0;
 | |
|         }
 | |
|         if (!memcpy(dest->seed, src->seed, src->seed_len))
 | |
|             return 0;
 | |
|         dest->seed_len = src->seed_len;
 | |
|     } else {
 | |
|         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) {
 | |
|         EC_GROUP_free(t);
 | |
|         return NULL;
 | |
|     }
 | |
|         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;
 | |
| }
 | |
| 
 | |
| static int ec_precompute_mont_data(EC_GROUP *);
 | |
| 
 | |
| /*-
 | |
|  * Try computing cofactor from the generator order (n) and field cardinality (q).
 | |
|  * This works for all curves of cryptographic interest.
 | |
|  *
 | |
|  * Hasse thm: q + 1 - 2*sqrt(q) <= n*h <= q + 1 + 2*sqrt(q)
 | |
|  * h_min = (q + 1 - 2*sqrt(q))/n
 | |
|  * h_max = (q + 1 + 2*sqrt(q))/n
 | |
|  * h_max - h_min = 4*sqrt(q)/n
 | |
|  * So if n > 4*sqrt(q) holds, there is only one possible value for h:
 | |
|  * h = \lfloor (h_min + h_max)/2 \rceil = \lfloor (q + 1)/n \rceil
 | |
|  *
 | |
|  * Otherwise, zero cofactor and return success.
 | |
|  */
 | |
| static int ec_guess_cofactor(EC_GROUP *group) {
 | |
|     int ret = 0;
 | |
|     BN_CTX *ctx = NULL;
 | |
|     BIGNUM *q = NULL;
 | |
| 
 | |
|     /*-
 | |
|      * If the cofactor is too large, we cannot guess it.
 | |
|      * The RHS of below is a strict overestimate of lg(4 * sqrt(q))
 | |
|      */
 | |
|     if (BN_num_bits(group->order) <= (BN_num_bits(group->field) + 1) / 2 + 3) {
 | |
|         /* default to 0 */
 | |
|         BN_zero(group->cofactor);
 | |
|         /* return success */
 | |
|         return 1;
 | |
|     }
 | |
| 
 | |
|     if ((ctx = BN_CTX_new()) == NULL)
 | |
|         return 0;
 | |
| 
 | |
|     BN_CTX_start(ctx);
 | |
|     if ((q = BN_CTX_get(ctx)) == NULL)
 | |
|         goto err;
 | |
| 
 | |
|     /* set q = 2**m for binary fields; q = p otherwise */
 | |
|     if (group->meth->field_type == NID_X9_62_characteristic_two_field) {
 | |
|         BN_zero(q);
 | |
|         if (!BN_set_bit(q, BN_num_bits(group->field) - 1))
 | |
|             goto err;
 | |
|     } else {
 | |
|         if (!BN_copy(q, group->field))
 | |
|             goto err;
 | |
|     }
 | |
| 
 | |
|     /* compute h = \lfloor (q + 1)/n \rceil = \lfloor (q + 1 + n/2)/n \rfloor */
 | |
|     if (!BN_rshift1(group->cofactor, group->order) /* n/2 */
 | |
|         || !BN_add(group->cofactor, group->cofactor, q) /* q + n/2 */
 | |
|         /* q + 1 + n/2 */
 | |
|         || !BN_add(group->cofactor, group->cofactor, BN_value_one())
 | |
|         /* (q + 1 + n/2)/n */
 | |
|         || !BN_div(group->cofactor, NULL, group->cofactor, group->order, ctx))
 | |
|         goto err;
 | |
|     ret = 1;
 | |
|  err:
 | |
|     BN_CTX_end(ctx);
 | |
|     BN_CTX_free(ctx);
 | |
|     return ret;
 | |
| }
 | |
| 
 | |
| 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;
 | |
|     }
 | |
| 
 | |
|     /* require group->field >= 1 */
 | |
|     if (group->field == NULL || BN_is_zero(group->field)
 | |
|         || BN_is_negative(group->field)) {
 | |
|         ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_INVALID_FIELD);
 | |
|         return 0;
 | |
|     }
 | |
| 
 | |
|     /*-
 | |
|      * - require order >= 1
 | |
|      * - enforce upper bound due to Hasse thm: order can be no more than one bit
 | |
|      *   longer than field cardinality
 | |
|      */
 | |
|     if (order == NULL || BN_is_zero(order) || BN_is_negative(order)
 | |
|         || BN_num_bits(order) > BN_num_bits(group->field) + 1) {
 | |
|         ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_INVALID_GROUP_ORDER);
 | |
|         return 0;
 | |
|     }
 | |
| 
 | |
|     /*-
 | |
|      * Unfortunately the cofactor is an optional field in many standards.
 | |
|      * Internally, the lib uses 0 cofactor as a marker for "unknown cofactor".
 | |
|      * So accept cofactor == NULL or cofactor >= 0.
 | |
|      */
 | |
|     if (cofactor != NULL && BN_is_negative(cofactor)) {
 | |
|         ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_UNKNOWN_COFACTOR);
 | |
|         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 (!BN_copy(group->order, order))
 | |
|         return 0;
 | |
| 
 | |
|     /* Either take the provided positive cofactor, or try to compute it */
 | |
|     if (cofactor != NULL && !BN_is_zero(cofactor)) {
 | |
|         if (!BN_copy(group->cofactor, cofactor))
 | |
|             return 0;
 | |
|     } else if (!ec_guess_cofactor(group)) {
 | |
|         BN_zero(group->cofactor);
 | |
|         return 0;
 | |
|     }
 | |
| 
 | |
|     /*
 | |
|      * Some groups have an order with
 | |
|      * factors of two, which makes the Montgomery setup fail.
 | |
|      * |group->mont_data| will be NULL in this case.
 | |
|      */
 | |
|     if (BN_is_odd(group->order)) {
 | |
|         return ec_precompute_mont_data(group);
 | |
|     }
 | |
| 
 | |
|     BN_MONT_CTX_free(group->mont_data);
 | |
|     group->mont_data = NULL;
 | |
|     return 1;
 | |
| }
 | |
| 
 | |
| const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
 | |
| {
 | |
|     return group->generator;
 | |
| }
 | |
| 
 | |
| BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
 | |
| {
 | |
|     return group->mont_data;
 | |
| }
 | |
| 
 | |
| int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
 | |
| {
 | |
|     if (group->order == NULL)
 | |
|         return 0;
 | |
|     if (!BN_copy(order, group->order))
 | |
|         return 0;
 | |
| 
 | |
|     return !BN_is_zero(order);
 | |
| }
 | |
| 
 | |
| const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group)
 | |
| {
 | |
|     return group->order;
 | |
| }
 | |
| 
 | |
| int EC_GROUP_order_bits(const EC_GROUP *group)
 | |
| {
 | |
|     return group->meth->group_order_bits(group);
 | |
| }
 | |
| 
 | |
| int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
 | |
|                           BN_CTX *ctx)
 | |
| {
 | |
| 
 | |
|     if (group->cofactor == NULL)
 | |
|         return 0;
 | |
|     if (!BN_copy(cofactor, group->cofactor))
 | |
|         return 0;
 | |
| 
 | |
|     return !BN_is_zero(group->cofactor);
 | |
| }
 | |
| 
 | |
| const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group)
 | |
| {
 | |
|     return 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)
 | |
| {
 | |
|     OPENSSL_free(group->seed);
 | |
|     group->seed = NULL;
 | |
|     group->seed_len = 0;
 | |
| 
 | |
|     if (!len || !p)
 | |
|         return 1;
 | |
| 
 | |
|     if ((group->seed = OPENSSL_malloc(len)) == NULL) {
 | |
|         ECerr(EC_F_EC_GROUP_SET_SEED, ERR_R_MALLOC_FAILURE);
 | |
|         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(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, 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(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
 | |
|                        BN_CTX *ctx)
 | |
| {
 | |
|     if (group->meth->group_get_curve == NULL) {
 | |
|         ECerr(EC_F_EC_GROUP_GET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
 | |
|         return 0;
 | |
|     }
 | |
|     return group->meth->group_get_curve(group, p, a, b, ctx);
 | |
| }
 | |
| 
 | |
| #if OPENSSL_API_COMPAT < 0x10200000L
 | |
| int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
 | |
|                            const BIGNUM *b, BN_CTX *ctx)
 | |
| {
 | |
|     return EC_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)
 | |
| {
 | |
|     return EC_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)
 | |
| {
 | |
|     return EC_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)
 | |
| {
 | |
|     return EC_GROUP_get_curve(group, p, a, b, ctx);
 | |
| }
 | |
| # endif
 | |
| #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 in both) */
 | |
|     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 1;
 | |
|     if (a->meth->flags & EC_FLAGS_CUSTOM_CURVE)
 | |
|         return 0;
 | |
| 
 | |
|     if (ctx == NULL)
 | |
|         ctx_new = ctx = BN_CTX_new();
 | |
|     if (ctx == NULL)
 | |
|         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 == NULL) {
 | |
|         BN_CTX_end(ctx);
 | |
|         BN_CTX_free(ctx_new);
 | |
|         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) {
 | |
|         const BIGNUM *ao, *bo, *ac, *bc;
 | |
|         /* compare the order and cofactor */
 | |
|         ao = EC_GROUP_get0_order(a);
 | |
|         bo = EC_GROUP_get0_order(b);
 | |
|         ac = EC_GROUP_get0_cofactor(a);
 | |
|         bc = EC_GROUP_get0_cofactor(b);
 | |
|         if (ao == NULL || bo == NULL) {
 | |
|             BN_CTX_end(ctx);
 | |
|             BN_CTX_free(ctx_new);
 | |
|             return -1;
 | |
|         }
 | |
|         if (BN_cmp(ao, bo) || BN_cmp(ac, bc))
 | |
|             r = 1;
 | |
|     }
 | |
| 
 | |
|     BN_CTX_end(ctx);
 | |
|     BN_CTX_free(ctx_new);
 | |
| 
 | |
|     return r;
 | |
| }
 | |
| 
 | |
| /* 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 == NULL) {
 | |
|         ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
 | |
|         return NULL;
 | |
|     }
 | |
| 
 | |
|     ret = OPENSSL_zalloc(sizeof(*ret));
 | |
|     if (ret == NULL) {
 | |
|         ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
 | |
|         return NULL;
 | |
|     }
 | |
| 
 | |
|     ret->meth = group->meth;
 | |
|     ret->curve_name = group->curve_name;
 | |
| 
 | |
|     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_clear_free(point, sizeof(*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
 | |
|             || (dest->curve_name != src->curve_name
 | |
|                 && dest->curve_name != 0
 | |
|                 && src->curve_name != 0)) {
 | |
|         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;
 | |
|     }
 | |
|     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 (!ec_point_is_compat(point, group)) {
 | |
|         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 (!ec_point_is_compat(point, group)) {
 | |
|         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(const EC_GROUP *group, EC_POINT *point,
 | |
|                                     const BIGNUM *x, const BIGNUM *y,
 | |
|                                     BN_CTX *ctx)
 | |
| {
 | |
|     if (group->meth->point_set_affine_coordinates == NULL) {
 | |
|         ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES,
 | |
|               ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
 | |
|         return 0;
 | |
|     }
 | |
|     if (!ec_point_is_compat(point, group)) {
 | |
|         ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
 | |
|         return 0;
 | |
|     }
 | |
|     if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
 | |
|         return 0;
 | |
| 
 | |
|     if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
 | |
|         ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_POINT_IS_NOT_ON_CURVE);
 | |
|         return 0;
 | |
|     }
 | |
|     return 1;
 | |
| }
 | |
| 
 | |
| #if OPENSSL_API_COMPAT < 0x10200000L
 | |
| int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
 | |
|                                         EC_POINT *point, const BIGNUM *x,
 | |
|                                         const BIGNUM *y, BN_CTX *ctx)
 | |
| {
 | |
|     return EC_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)
 | |
| {
 | |
|     return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
 | |
| }
 | |
| # endif
 | |
| #endif
 | |
| 
 | |
| int EC_POINT_get_affine_coordinates(const EC_GROUP *group,
 | |
|                                     const EC_POINT *point, BIGNUM *x, BIGNUM *y,
 | |
|                                     BN_CTX *ctx)
 | |
| {
 | |
|     if (group->meth->point_get_affine_coordinates == NULL) {
 | |
|         ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES,
 | |
|               ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
 | |
|         return 0;
 | |
|     }
 | |
|     if (!ec_point_is_compat(point, group)) {
 | |
|         ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
 | |
|         return 0;
 | |
|     }
 | |
|     if (EC_POINT_is_at_infinity(group, point)) {
 | |
|         ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
 | |
|         return 0;
 | |
|     }
 | |
|     return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
 | |
| }
 | |
| 
 | |
| #if OPENSSL_API_COMPAT < 0x10200000L
 | |
| int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
 | |
|                                         const EC_POINT *point, BIGNUM *x,
 | |
|                                         BIGNUM *y, BN_CTX *ctx)
 | |
| {
 | |
|     return EC_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)
 | |
| {
 | |
|     return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
 | |
| }
 | |
| # endif
 | |
| #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 (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)
 | |
|         || !ec_point_is_compat(b, group)) {
 | |
|         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 (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)) {
 | |
|         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->invert == 0) {
 | |
|         ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
 | |
|         return 0;
 | |
|     }
 | |
|     if (!ec_point_is_compat(a, group)) {
 | |
|         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 (!ec_point_is_compat(point, group)) {
 | |
|         ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
 | |
|         return 0;
 | |
|     }
 | |
|     return group->meth->is_at_infinity(group, point);
 | |
| }
 | |
| 
 | |
| /*
 | |
|  * Check whether an EC_POINT is on the curve or not. Note that the return
 | |
|  * value for this function should NOT be treated as a boolean. Return values:
 | |
|  *  1: The point is on the curve
 | |
|  *  0: The point is not on the curve
 | |
|  * -1: An error occurred
 | |
|  */
 | |
| 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 (!ec_point_is_compat(point, group)) {
 | |
|         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 -1;
 | |
|     }
 | |
|     if (!ec_point_is_compat(a, group) || !ec_point_is_compat(b, group)) {
 | |
|         ECerr(EC_F_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) {
 | |
|         ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
 | |
|         return 0;
 | |
|     }
 | |
|     if (!ec_point_is_compat(point, group)) {
 | |
|         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 (!ec_point_is_compat(points[i], group)) {
 | |
|             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)
 | |
| {
 | |
|     int ret = 0;
 | |
|     size_t i = 0;
 | |
|     BN_CTX *new_ctx = NULL;
 | |
| 
 | |
|     if (!ec_point_is_compat(r, group)) {
 | |
|         ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
 | |
|         return 0;
 | |
|     }
 | |
| 
 | |
|     if (scalar == NULL && num == 0)
 | |
|         return EC_POINT_set_to_infinity(group, r);
 | |
| 
 | |
|     for (i = 0; i < num; i++) {
 | |
|         if (!ec_point_is_compat(points[i], group)) {
 | |
|             ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
 | |
|             return 0;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     if (ctx == NULL && (ctx = new_ctx = BN_CTX_secure_new()) == NULL) {
 | |
|         ECerr(EC_F_EC_POINTS_MUL, ERR_R_INTERNAL_ERROR);
 | |
|         return 0;
 | |
|     }
 | |
| 
 | |
|     if (group->meth->mul != NULL)
 | |
|         ret = group->meth->mul(group, r, scalar, num, points, scalars, ctx);
 | |
|     else
 | |
|         /* use default */
 | |
|         ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
 | |
| 
 | |
|     BN_CTX_free(new_ctx);
 | |
|     return ret;
 | |
| }
 | |
| 
 | |
| 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 */
 | |
| }
 | |
| 
 | |
| /*
 | |
|  * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
 | |
|  * returns one on success. On error it returns zero.
 | |
|  */
 | |
| static int ec_precompute_mont_data(EC_GROUP *group)
 | |
| {
 | |
|     BN_CTX *ctx = BN_CTX_new();
 | |
|     int ret = 0;
 | |
| 
 | |
|     BN_MONT_CTX_free(group->mont_data);
 | |
|     group->mont_data = NULL;
 | |
| 
 | |
|     if (ctx == NULL)
 | |
|         goto err;
 | |
| 
 | |
|     group->mont_data = BN_MONT_CTX_new();
 | |
|     if (group->mont_data == NULL)
 | |
|         goto err;
 | |
| 
 | |
|     if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
 | |
|         BN_MONT_CTX_free(group->mont_data);
 | |
|         group->mont_data = NULL;
 | |
|         goto err;
 | |
|     }
 | |
| 
 | |
|     ret = 1;
 | |
| 
 | |
|  err:
 | |
| 
 | |
|     BN_CTX_free(ctx);
 | |
|     return ret;
 | |
| }
 | |
| 
 | |
| int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg)
 | |
| {
 | |
|     return CRYPTO_set_ex_data(&key->ex_data, idx, arg);
 | |
| }
 | |
| 
 | |
| void *EC_KEY_get_ex_data(const EC_KEY *key, int idx)
 | |
| {
 | |
|     return CRYPTO_get_ex_data(&key->ex_data, idx);
 | |
| }
 | |
| 
 | |
| int ec_group_simple_order_bits(const EC_GROUP *group)
 | |
| {
 | |
|     if (group->order == NULL)
 | |
|         return 0;
 | |
|     return BN_num_bits(group->order);
 | |
| }
 | |
| 
 | |
| static int ec_field_inverse_mod_ord(const EC_GROUP *group, BIGNUM *r,
 | |
|                                     const BIGNUM *x, BN_CTX *ctx)
 | |
| {
 | |
|     BIGNUM *e = NULL;
 | |
|     BN_CTX *new_ctx = NULL;
 | |
|     int ret = 0;
 | |
| 
 | |
|     if (group->mont_data == NULL)
 | |
|         return 0;
 | |
| 
 | |
|     if (ctx == NULL && (ctx = new_ctx = BN_CTX_secure_new()) == NULL)
 | |
|         return 0;
 | |
| 
 | |
|     BN_CTX_start(ctx);
 | |
|     if ((e = BN_CTX_get(ctx)) == NULL)
 | |
|         goto err;
 | |
| 
 | |
|     /*-
 | |
|      * We want inverse in constant time, therefore we utilize the fact
 | |
|      * order must be prime and use Fermats Little Theorem instead.
 | |
|      */
 | |
|     if (!BN_set_word(e, 2))
 | |
|         goto err;
 | |
|     if (!BN_sub(e, group->order, e))
 | |
|         goto err;
 | |
|     /*-
 | |
|      * Exponent e is public.
 | |
|      * No need for scatter-gather or BN_FLG_CONSTTIME.
 | |
|      */
 | |
|     if (!BN_mod_exp_mont(r, x, e, group->order, ctx, group->mont_data))
 | |
|         goto err;
 | |
| 
 | |
|     ret = 1;
 | |
| 
 | |
|  err:
 | |
|     BN_CTX_end(ctx);
 | |
|     BN_CTX_free(new_ctx);
 | |
|     return ret;
 | |
| }
 | |
| 
 | |
| /*-
 | |
|  * Default behavior, if group->meth->field_inverse_mod_ord is NULL:
 | |
|  * - When group->order is even, this function returns an error.
 | |
|  * - When group->order is otherwise composite, the correctness
 | |
|  *   of the output is not guaranteed.
 | |
|  * - When x is outside the range [1, group->order), the correctness
 | |
|  *   of the output is not guaranteed.
 | |
|  * - Otherwise, this function returns the multiplicative inverse in the
 | |
|  *   range [1, group->order).
 | |
|  *
 | |
|  * EC_METHODs must implement their own field_inverse_mod_ord for
 | |
|  * other functionality.
 | |
|  */
 | |
| int ec_group_do_inverse_ord(const EC_GROUP *group, BIGNUM *res,
 | |
|                             const BIGNUM *x, BN_CTX *ctx)
 | |
| {
 | |
|     if (group->meth->field_inverse_mod_ord != NULL)
 | |
|         return group->meth->field_inverse_mod_ord(group, res, x, ctx);
 | |
|     else
 | |
|         return ec_field_inverse_mod_ord(group, res, x, ctx);
 | |
| }
 | |
| 
 | |
| /*-
 | |
|  * Coordinate blinding for EC_POINT.
 | |
|  *
 | |
|  * The underlying EC_METHOD can optionally implement this function:
 | |
|  * underlying implementations should return 0 on errors, or 1 on
 | |
|  * success.
 | |
|  *
 | |
|  * This wrapper returns 1 in case the underlying EC_METHOD does not
 | |
|  * support coordinate blinding.
 | |
|  */
 | |
| int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx)
 | |
| {
 | |
|     if (group->meth->blind_coordinates == NULL)
 | |
|         return 1; /* ignore if not implemented */
 | |
| 
 | |
|     return group->meth->blind_coordinates(group, p, ctx);
 | |
| }
 |