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      1 /* crypto/ec/ec_lib.c */
      2 /*
      3  * Originally written by Bodo Moeller for the OpenSSL project.
      4  */
      5 /* ====================================================================
      6  * Copyright (c) 1998-2003 The OpenSSL Project.  All rights reserved.
      7  *
      8  * Redistribution and use in source and binary forms, with or without
      9  * modification, are permitted provided that the following conditions
     10  * are met:
     11  *
     12  * 1. Redistributions of source code must retain the above copyright
     13  *    notice, this list of conditions and the following disclaimer.
     14  *
     15  * 2. Redistributions in binary form must reproduce the above copyright
     16  *    notice, this list of conditions and the following disclaimer in
     17  *    the documentation and/or other materials provided with the
     18  *    distribution.
     19  *
     20  * 3. All advertising materials mentioning features or use of this
     21  *    software must display the following acknowledgment:
     22  *    "This product includes software developed by the OpenSSL Project
     23  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
     24  *
     25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
     26  *    endorse or promote products derived from this software without
     27  *    prior written permission. For written permission, please contact
     28  *    openssl-core (at) openssl.org.
     29  *
     30  * 5. Products derived from this software may not be called "OpenSSL"
     31  *    nor may "OpenSSL" appear in their names without prior written
     32  *    permission of the OpenSSL Project.
     33  *
     34  * 6. Redistributions of any form whatsoever must retain the following
     35  *    acknowledgment:
     36  *    "This product includes software developed by the OpenSSL Project
     37  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
     38  *
     39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
     40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
     42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
     43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
     45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
     46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
     48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
     50  * OF THE POSSIBILITY OF SUCH DAMAGE.
     51  * ====================================================================
     52  *
     53  * This product includes cryptographic software written by Eric Young
     54  * (eay (at) cryptsoft.com).  This product includes software written by Tim
     55  * Hudson (tjh (at) cryptsoft.com).
     56  *
     57  */
     58 /* ====================================================================
     59  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
     60  * Binary polynomial ECC support in OpenSSL originally developed by
     61  * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
     62  */
     63 
     64 #include <string.h>
     65 
     66 #include <openssl/err.h>
     67 #include <openssl/opensslv.h>
     68 
     69 #include "ec_lcl.h"
     70 
     71 static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
     72 
     73 
     74 /* functions for EC_GROUP objects */
     75 
     76 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
     77 	{
     78 	EC_GROUP *ret;
     79 
     80 	if (meth == NULL)
     81 		{
     82 		ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
     83 		return NULL;
     84 		}
     85 	if (meth->group_init == 0)
     86 		{
     87 		ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
     88 		return NULL;
     89 		}
     90 
     91 	ret = OPENSSL_malloc(sizeof *ret);
     92 	if (ret == NULL)
     93 		{
     94 		ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
     95 		return NULL;
     96 		}
     97 
     98 	ret->meth = meth;
     99 
    100 	ret->extra_data = NULL;
    101 
    102 	ret->generator = NULL;
    103 	BN_init(&ret->order);
    104 	BN_init(&ret->cofactor);
    105 
    106 	ret->curve_name = 0;
    107 	ret->asn1_flag  = 0;
    108 	ret->asn1_form  = POINT_CONVERSION_UNCOMPRESSED;
    109 
    110 	ret->seed = NULL;
    111 	ret->seed_len = 0;
    112 
    113 	if (!meth->group_init(ret))
    114 		{
    115 		OPENSSL_free(ret);
    116 		return NULL;
    117 		}
    118 
    119 	return ret;
    120 	}
    121 
    122 
    123 void EC_GROUP_free(EC_GROUP *group)
    124 	{
    125 	if (!group) return;
    126 
    127 	if (group->meth->group_finish != 0)
    128 		group->meth->group_finish(group);
    129 
    130 	EC_EX_DATA_free_all_data(&group->extra_data);
    131 
    132 	if (group->generator != NULL)
    133 		EC_POINT_free(group->generator);
    134 	BN_free(&group->order);
    135 	BN_free(&group->cofactor);
    136 
    137 	if (group->seed)
    138 		OPENSSL_free(group->seed);
    139 
    140 	OPENSSL_free(group);
    141 	}
    142 
    143 
    144 void EC_GROUP_clear_free(EC_GROUP *group)
    145 	{
    146 	if (!group) return;
    147 
    148 	if (group->meth->group_clear_finish != 0)
    149 		group->meth->group_clear_finish(group);
    150 	else if (group->meth->group_finish != 0)
    151 		group->meth->group_finish(group);
    152 
    153 	EC_EX_DATA_clear_free_all_data(&group->extra_data);
    154 
    155 	if (group->generator != NULL)
    156 		EC_POINT_clear_free(group->generator);
    157 	BN_clear_free(&group->order);
    158 	BN_clear_free(&group->cofactor);
    159 
    160 	if (group->seed)
    161 		{
    162 		OPENSSL_cleanse(group->seed, group->seed_len);
    163 		OPENSSL_free(group->seed);
    164 		}
    165 
    166 	OPENSSL_cleanse(group, sizeof *group);
    167 	OPENSSL_free(group);
    168 	}
    169 
    170 
    171 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
    172 	{
    173 	EC_EXTRA_DATA *d;
    174 
    175 	if (dest->meth->group_copy == 0)
    176 		{
    177 		ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    178 		return 0;
    179 		}
    180 	if (dest->meth != src->meth)
    181 		{
    182 		ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
    183 		return 0;
    184 		}
    185 	if (dest == src)
    186 		return 1;
    187 
    188 	EC_EX_DATA_free_all_data(&dest->extra_data);
    189 
    190 	for (d = src->extra_data; d != NULL; d = d->next)
    191 		{
    192 		void *t = d->dup_func(d->data);
    193 
    194 		if (t == NULL)
    195 			return 0;
    196 		if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func, d->free_func, d->clear_free_func))
    197 			return 0;
    198 		}
    199 
    200 	if (src->generator != NULL)
    201 		{
    202 		if (dest->generator == NULL)
    203 			{
    204 			dest->generator = EC_POINT_new(dest);
    205 			if (dest->generator == NULL) return 0;
    206 			}
    207 		if (!EC_POINT_copy(dest->generator, src->generator)) return 0;
    208 		}
    209 	else
    210 		{
    211 		/* src->generator == NULL */
    212 		if (dest->generator != NULL)
    213 			{
    214 			EC_POINT_clear_free(dest->generator);
    215 			dest->generator = NULL;
    216 			}
    217 		}
    218 
    219 	if (!BN_copy(&dest->order, &src->order)) return 0;
    220 	if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0;
    221 
    222 	dest->curve_name = src->curve_name;
    223 	dest->asn1_flag  = src->asn1_flag;
    224 	dest->asn1_form  = src->asn1_form;
    225 
    226 	if (src->seed)
    227 		{
    228 		if (dest->seed)
    229 			OPENSSL_free(dest->seed);
    230 		dest->seed = OPENSSL_malloc(src->seed_len);
    231 		if (dest->seed == NULL)
    232 			return 0;
    233 		if (!memcpy(dest->seed, src->seed, src->seed_len))
    234 			return 0;
    235 		dest->seed_len = src->seed_len;
    236 		}
    237 	else
    238 		{
    239 		if (dest->seed)
    240 			OPENSSL_free(dest->seed);
    241 		dest->seed = NULL;
    242 		dest->seed_len = 0;
    243 		}
    244 
    245 
    246 	return dest->meth->group_copy(dest, src);
    247 	}
    248 
    249 
    250 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
    251 	{
    252 	EC_GROUP *t = NULL;
    253 	int ok = 0;
    254 
    255 	if (a == NULL) return NULL;
    256 
    257 	if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL);
    258 	if (!EC_GROUP_copy(t, a)) goto err;
    259 
    260 	ok = 1;
    261 
    262   err:
    263 	if (!ok)
    264 		{
    265 		if (t) EC_GROUP_free(t);
    266 		return NULL;
    267 		}
    268 	else return t;
    269 	}
    270 
    271 
    272 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
    273 	{
    274 	return group->meth;
    275 	}
    276 
    277 
    278 int EC_METHOD_get_field_type(const EC_METHOD *meth)
    279         {
    280         return meth->field_type;
    281         }
    282 
    283 
    284 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
    285 	{
    286 	if (generator == NULL)
    287 		{
    288 		ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
    289 		return 0   ;
    290 		}
    291 
    292 	if (group->generator == NULL)
    293 		{
    294 		group->generator = EC_POINT_new(group);
    295 		if (group->generator == NULL) return 0;
    296 		}
    297 	if (!EC_POINT_copy(group->generator, generator)) return 0;
    298 
    299 	if (order != NULL)
    300 		{ if (!BN_copy(&group->order, order)) return 0; }
    301 	else
    302 		BN_zero(&group->order);
    303 
    304 	if (cofactor != NULL)
    305 		{ if (!BN_copy(&group->cofactor, cofactor)) return 0; }
    306 	else
    307 		BN_zero(&group->cofactor);
    308 
    309 	return 1;
    310 	}
    311 
    312 
    313 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
    314 	{
    315 	return group->generator;
    316 	}
    317 
    318 
    319 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
    320 	{
    321 	if (!BN_copy(order, &group->order))
    322 		return 0;
    323 
    324 	return !BN_is_zero(order);
    325 	}
    326 
    327 
    328 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
    329 	{
    330 	if (!BN_copy(cofactor, &group->cofactor))
    331 		return 0;
    332 
    333 	return !BN_is_zero(&group->cofactor);
    334 	}
    335 
    336 
    337 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
    338 	{
    339 	group->curve_name = nid;
    340 	}
    341 
    342 
    343 int EC_GROUP_get_curve_name(const EC_GROUP *group)
    344 	{
    345 	return group->curve_name;
    346 	}
    347 
    348 
    349 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
    350 	{
    351 	group->asn1_flag = flag;
    352 	}
    353 
    354 
    355 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
    356 	{
    357 	return group->asn1_flag;
    358 	}
    359 
    360 
    361 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
    362                                         point_conversion_form_t form)
    363 	{
    364 	group->asn1_form = form;
    365 	}
    366 
    367 
    368 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *group)
    369 	{
    370 	return group->asn1_form;
    371 	}
    372 
    373 
    374 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
    375 	{
    376 	if (group->seed)
    377 		{
    378 		OPENSSL_free(group->seed);
    379 		group->seed = NULL;
    380 		group->seed_len = 0;
    381 		}
    382 
    383 	if (!len || !p)
    384 		return 1;
    385 
    386 	if ((group->seed = OPENSSL_malloc(len)) == NULL)
    387 		return 0;
    388 	memcpy(group->seed, p, len);
    389 	group->seed_len = len;
    390 
    391 	return len;
    392 	}
    393 
    394 
    395 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
    396 	{
    397 	return group->seed;
    398 	}
    399 
    400 
    401 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
    402 	{
    403 	return group->seed_len;
    404 	}
    405 
    406 
    407 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    408 	{
    409 	if (group->meth->group_set_curve == 0)
    410 		{
    411 		ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    412 		return 0;
    413 		}
    414 	return group->meth->group_set_curve(group, p, a, b, ctx);
    415 	}
    416 
    417 
    418 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
    419 	{
    420 	if (group->meth->group_get_curve == 0)
    421 		{
    422 		ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    423 		return 0;
    424 		}
    425 	return group->meth->group_get_curve(group, p, a, b, ctx);
    426 	}
    427 
    428 
    429 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    430 	{
    431 	if (group->meth->group_set_curve == 0)
    432 		{
    433 		ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    434 		return 0;
    435 		}
    436 	return group->meth->group_set_curve(group, p, a, b, ctx);
    437 	}
    438 
    439 
    440 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
    441 	{
    442 	if (group->meth->group_get_curve == 0)
    443 		{
    444 		ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    445 		return 0;
    446 		}
    447 	return group->meth->group_get_curve(group, p, a, b, ctx);
    448 	}
    449 
    450 
    451 int EC_GROUP_get_degree(const EC_GROUP *group)
    452 	{
    453 	if (group->meth->group_get_degree == 0)
    454 		{
    455 		ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    456 		return 0;
    457 		}
    458 	return group->meth->group_get_degree(group);
    459 	}
    460 
    461 
    462 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
    463 	{
    464 	if (group->meth->group_check_discriminant == 0)
    465 		{
    466 		ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    467 		return 0;
    468 		}
    469 	return group->meth->group_check_discriminant(group, ctx);
    470 	}
    471 
    472 
    473 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
    474 	{
    475 	int    r = 0;
    476 	BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
    477 	BN_CTX *ctx_new = NULL;
    478 
    479 	/* compare the field types*/
    480 	if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
    481 	    EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
    482 		return 1;
    483 	/* compare the curve name (if present) */
    484 	if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
    485 	    EC_GROUP_get_curve_name(a) == EC_GROUP_get_curve_name(b))
    486 		return 0;
    487 
    488 	if (!ctx)
    489 		ctx_new = ctx = BN_CTX_new();
    490 	if (!ctx)
    491 		return -1;
    492 
    493 	BN_CTX_start(ctx);
    494 	a1 = BN_CTX_get(ctx);
    495 	a2 = BN_CTX_get(ctx);
    496 	a3 = BN_CTX_get(ctx);
    497 	b1 = BN_CTX_get(ctx);
    498 	b2 = BN_CTX_get(ctx);
    499 	b3 = BN_CTX_get(ctx);
    500 	if (!b3)
    501 		{
    502 		BN_CTX_end(ctx);
    503 		if (ctx_new)
    504 			BN_CTX_free(ctx);
    505 		return -1;
    506 		}
    507 
    508 	/* XXX This approach assumes that the external representation
    509 	 * of curves over the same field type is the same.
    510 	 */
    511 	if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
    512 	    !b->meth->group_get_curve(b, b1, b2, b3, ctx))
    513 		r = 1;
    514 
    515 	if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
    516 		r = 1;
    517 
    518 	/* XXX EC_POINT_cmp() assumes that the methods are equal */
    519 	if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
    520 	    EC_GROUP_get0_generator(b), ctx))
    521 		r = 1;
    522 
    523 	if (!r)
    524 		{
    525 		/* compare the order and cofactor */
    526 		if (!EC_GROUP_get_order(a, a1, ctx) ||
    527 		    !EC_GROUP_get_order(b, b1, ctx) ||
    528 		    !EC_GROUP_get_cofactor(a, a2, ctx) ||
    529 		    !EC_GROUP_get_cofactor(b, b2, ctx))
    530 			{
    531 			BN_CTX_end(ctx);
    532 			if (ctx_new)
    533 				BN_CTX_free(ctx);
    534 			return -1;
    535 			}
    536 		if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
    537 			r = 1;
    538 		}
    539 
    540 	BN_CTX_end(ctx);
    541 	if (ctx_new)
    542 		BN_CTX_free(ctx);
    543 
    544 	return r;
    545 	}
    546 
    547 
    548 /* this has 'package' visibility */
    549 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
    550 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
    551 	{
    552 	EC_EXTRA_DATA *d;
    553 
    554 	if (ex_data == NULL)
    555 		return 0;
    556 
    557 	for (d = *ex_data; d != NULL; d = d->next)
    558 		{
    559 		if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
    560 			{
    561 			ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
    562 			return 0;
    563 			}
    564 		}
    565 
    566 	if (data == NULL)
    567 		/* no explicit entry needed */
    568 		return 1;
    569 
    570 	d = OPENSSL_malloc(sizeof *d);
    571 	if (d == NULL)
    572 		return 0;
    573 
    574 	d->data = data;
    575 	d->dup_func = dup_func;
    576 	d->free_func = free_func;
    577 	d->clear_free_func = clear_free_func;
    578 
    579 	d->next = *ex_data;
    580 	*ex_data = d;
    581 
    582 	return 1;
    583 	}
    584 
    585 /* this has 'package' visibility */
    586 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
    587 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
    588 	{
    589 	const EC_EXTRA_DATA *d;
    590 
    591 	for (d = ex_data; d != NULL; d = d->next)
    592 		{
    593 		if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
    594 			return d->data;
    595 		}
    596 
    597 	return NULL;
    598 	}
    599 
    600 /* this has 'package' visibility */
    601 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
    602 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
    603 	{
    604 	EC_EXTRA_DATA **p;
    605 
    606 	if (ex_data == NULL)
    607 		return;
    608 
    609 	for (p = ex_data; *p != NULL; p = &((*p)->next))
    610 		{
    611 		if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
    612 			{
    613 			EC_EXTRA_DATA *next = (*p)->next;
    614 
    615 			(*p)->free_func((*p)->data);
    616 			OPENSSL_free(*p);
    617 
    618 			*p = next;
    619 			return;
    620 			}
    621 		}
    622 	}
    623 
    624 /* this has 'package' visibility */
    625 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
    626 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
    627 	{
    628 	EC_EXTRA_DATA **p;
    629 
    630 	if (ex_data == NULL)
    631 		return;
    632 
    633 	for (p = ex_data; *p != NULL; p = &((*p)->next))
    634 		{
    635 		if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
    636 			{
    637 			EC_EXTRA_DATA *next = (*p)->next;
    638 
    639 			(*p)->clear_free_func((*p)->data);
    640 			OPENSSL_free(*p);
    641 
    642 			*p = next;
    643 			return;
    644 			}
    645 		}
    646 	}
    647 
    648 /* this has 'package' visibility */
    649 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
    650 	{
    651 	EC_EXTRA_DATA *d;
    652 
    653 	if (ex_data == NULL)
    654 		return;
    655 
    656 	d = *ex_data;
    657 	while (d)
    658 		{
    659 		EC_EXTRA_DATA *next = d->next;
    660 
    661 		d->free_func(d->data);
    662 		OPENSSL_free(d);
    663 
    664 		d = next;
    665 		}
    666 	*ex_data = NULL;
    667 	}
    668 
    669 /* this has 'package' visibility */
    670 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
    671 	{
    672 	EC_EXTRA_DATA *d;
    673 
    674 	if (ex_data == NULL)
    675 		return;
    676 
    677 	d = *ex_data;
    678 	while (d)
    679 		{
    680 		EC_EXTRA_DATA *next = d->next;
    681 
    682 		d->clear_free_func(d->data);
    683 		OPENSSL_free(d);
    684 
    685 		d = next;
    686 		}
    687 	*ex_data = NULL;
    688 	}
    689 
    690 
    691 /* functions for EC_POINT objects */
    692 
    693 EC_POINT *EC_POINT_new(const EC_GROUP *group)
    694 	{
    695 	EC_POINT *ret;
    696 
    697 	if (group == NULL)
    698 		{
    699 		ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
    700 		return NULL;
    701 		}
    702 	if (group->meth->point_init == 0)
    703 		{
    704 		ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    705 		return NULL;
    706 		}
    707 
    708 	ret = OPENSSL_malloc(sizeof *ret);
    709 	if (ret == NULL)
    710 		{
    711 		ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
    712 		return NULL;
    713 		}
    714 
    715 	ret->meth = group->meth;
    716 
    717 	if (!ret->meth->point_init(ret))
    718 		{
    719 		OPENSSL_free(ret);
    720 		return NULL;
    721 		}
    722 
    723 	return ret;
    724 	}
    725 
    726 
    727 void EC_POINT_free(EC_POINT *point)
    728 	{
    729 	if (!point) return;
    730 
    731 	if (point->meth->point_finish != 0)
    732 		point->meth->point_finish(point);
    733 	OPENSSL_free(point);
    734 	}
    735 
    736 
    737 void EC_POINT_clear_free(EC_POINT *point)
    738 	{
    739 	if (!point) return;
    740 
    741 	if (point->meth->point_clear_finish != 0)
    742 		point->meth->point_clear_finish(point);
    743 	else if (point->meth->point_finish != 0)
    744 		point->meth->point_finish(point);
    745 	OPENSSL_cleanse(point, sizeof *point);
    746 	OPENSSL_free(point);
    747 	}
    748 
    749 
    750 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
    751 	{
    752 	if (dest->meth->point_copy == 0)
    753 		{
    754 		ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    755 		return 0;
    756 		}
    757 	if (dest->meth != src->meth)
    758 		{
    759 		ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
    760 		return 0;
    761 		}
    762 	if (dest == src)
    763 		return 1;
    764 	return dest->meth->point_copy(dest, src);
    765 	}
    766 
    767 
    768 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
    769 	{
    770 	EC_POINT *t;
    771 	int r;
    772 
    773 	if (a == NULL) return NULL;
    774 
    775 	t = EC_POINT_new(group);
    776 	if (t == NULL) return(NULL);
    777 	r = EC_POINT_copy(t, a);
    778 	if (!r)
    779 		{
    780 		EC_POINT_free(t);
    781 		return NULL;
    782 		}
    783 	else return t;
    784 	}
    785 
    786 
    787 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
    788 	{
    789 	return point->meth;
    790 	}
    791 
    792 
    793 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
    794 	{
    795 	if (group->meth->point_set_to_infinity == 0)
    796 		{
    797 		ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    798 		return 0;
    799 		}
    800 	if (group->meth != point->meth)
    801 		{
    802 		ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
    803 		return 0;
    804 		}
    805 	return group->meth->point_set_to_infinity(group, point);
    806 	}
    807 
    808 
    809 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
    810 	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
    811 	{
    812 	if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
    813 		{
    814 		ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    815 		return 0;
    816 		}
    817 	if (group->meth != point->meth)
    818 		{
    819 		ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
    820 		return 0;
    821 		}
    822 	return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
    823 	}
    824 
    825 
    826 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
    827 	BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
    828 	{
    829 	if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
    830 		{
    831 		ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    832 		return 0;
    833 		}
    834 	if (group->meth != point->meth)
    835 		{
    836 		ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
    837 		return 0;
    838 		}
    839 	return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
    840 	}
    841 
    842 
    843 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
    844 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
    845 	{
    846 	if (group->meth->point_set_affine_coordinates == 0)
    847 		{
    848 		ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    849 		return 0;
    850 		}
    851 	if (group->meth != point->meth)
    852 		{
    853 		ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
    854 		return 0;
    855 		}
    856 	return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
    857 	}
    858 
    859 
    860 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
    861 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
    862 	{
    863 	if (group->meth->point_set_affine_coordinates == 0)
    864 		{
    865 		ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    866 		return 0;
    867 		}
    868 	if (group->meth != point->meth)
    869 		{
    870 		ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
    871 		return 0;
    872 		}
    873 	return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
    874 	}
    875 
    876 
    877 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
    878 	BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
    879 	{
    880 	if (group->meth->point_get_affine_coordinates == 0)
    881 		{
    882 		ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    883 		return 0;
    884 		}
    885 	if (group->meth != point->meth)
    886 		{
    887 		ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
    888 		return 0;
    889 		}
    890 	return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
    891 	}
    892 
    893 
    894 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
    895 	BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
    896 	{
    897 	if (group->meth->point_get_affine_coordinates == 0)
    898 		{
    899 		ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    900 		return 0;
    901 		}
    902 	if (group->meth != point->meth)
    903 		{
    904 		ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
    905 		return 0;
    906 		}
    907 	return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
    908 	}
    909 
    910 
    911 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
    912 	const BIGNUM *x, int y_bit, BN_CTX *ctx)
    913 	{
    914 	if (group->meth->point_set_compressed_coordinates == 0)
    915 		{
    916 		ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    917 		return 0;
    918 		}
    919 	if (group->meth != point->meth)
    920 		{
    921 		ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
    922 		return 0;
    923 		}
    924 	return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
    925 	}
    926 
    927 
    928 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
    929 	const BIGNUM *x, int y_bit, BN_CTX *ctx)
    930 	{
    931 	if (group->meth->point_set_compressed_coordinates == 0)
    932 		{
    933 		ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    934 		return 0;
    935 		}
    936 	if (group->meth != point->meth)
    937 		{
    938 		ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
    939 		return 0;
    940 		}
    941 	return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
    942 	}
    943 
    944 
    945 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
    946         unsigned char *buf, size_t len, BN_CTX *ctx)
    947 	{
    948 	if (group->meth->point2oct == 0)
    949 		{
    950 		ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    951 		return 0;
    952 		}
    953 	if (group->meth != point->meth)
    954 		{
    955 		ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
    956 		return 0;
    957 		}
    958 	return group->meth->point2oct(group, point, form, buf, len, ctx);
    959 	}
    960 
    961 
    962 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
    963         const unsigned char *buf, size_t len, BN_CTX *ctx)
    964 	{
    965 	if (group->meth->oct2point == 0)
    966 		{
    967 		ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    968 		return 0;
    969 		}
    970 	if (group->meth != point->meth)
    971 		{
    972 		ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
    973 		return 0;
    974 		}
    975 	return group->meth->oct2point(group, point, buf, len, ctx);
    976 	}
    977 
    978 
    979 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
    980 	{
    981 	if (group->meth->add == 0)
    982 		{
    983 		ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
    984 		return 0;
    985 		}
    986 	if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
    987 		{
    988 		ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
    989 		return 0;
    990 		}
    991 	return group->meth->add(group, r, a, b, ctx);
    992 	}
    993 
    994 
    995 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
    996 	{
    997 	if (group->meth->dbl == 0)
    998 		{
    999 		ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1000 		return 0;
   1001 		}
   1002 	if ((group->meth != r->meth) || (r->meth != a->meth))
   1003 		{
   1004 		ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
   1005 		return 0;
   1006 		}
   1007 	return group->meth->dbl(group, r, a, ctx);
   1008 	}
   1009 
   1010 
   1011 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
   1012 	{
   1013 	if (group->meth->dbl == 0)
   1014 		{
   1015 		ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1016 		return 0;
   1017 		}
   1018 	if (group->meth != a->meth)
   1019 		{
   1020 		ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
   1021 		return 0;
   1022 		}
   1023 	return group->meth->invert(group, a, ctx);
   1024 	}
   1025 
   1026 
   1027 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
   1028 	{
   1029 	if (group->meth->is_at_infinity == 0)
   1030 		{
   1031 		ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1032 		return 0;
   1033 		}
   1034 	if (group->meth != point->meth)
   1035 		{
   1036 		ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
   1037 		return 0;
   1038 		}
   1039 	return group->meth->is_at_infinity(group, point);
   1040 	}
   1041 
   1042 
   1043 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
   1044 	{
   1045 	if (group->meth->is_on_curve == 0)
   1046 		{
   1047 		ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1048 		return 0;
   1049 		}
   1050 	if (group->meth != point->meth)
   1051 		{
   1052 		ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
   1053 		return 0;
   1054 		}
   1055 	return group->meth->is_on_curve(group, point, ctx);
   1056 	}
   1057 
   1058 
   1059 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
   1060 	{
   1061 	if (group->meth->point_cmp == 0)
   1062 		{
   1063 		ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1064 		return 0;
   1065 		}
   1066 	if ((group->meth != a->meth) || (a->meth != b->meth))
   1067 		{
   1068 		ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
   1069 		return 0;
   1070 		}
   1071 	return group->meth->point_cmp(group, a, b, ctx);
   1072 	}
   1073 
   1074 
   1075 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
   1076 	{
   1077 	if (group->meth->make_affine == 0)
   1078 		{
   1079 		ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1080 		return 0;
   1081 		}
   1082 	if (group->meth != point->meth)
   1083 		{
   1084 		ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
   1085 		return 0;
   1086 		}
   1087 	return group->meth->make_affine(group, point, ctx);
   1088 	}
   1089 
   1090 
   1091 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
   1092 	{
   1093 	size_t i;
   1094 
   1095 	if (group->meth->points_make_affine == 0)
   1096 		{
   1097 		ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
   1098 		return 0;
   1099 		}
   1100 	for (i = 0; i < num; i++)
   1101 		{
   1102 		if (group->meth != points[i]->meth)
   1103 			{
   1104 			ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
   1105 			return 0;
   1106 			}
   1107 		}
   1108 	return group->meth->points_make_affine(group, num, points, ctx);
   1109 	}
   1110 
   1111 
   1112 /* Functions for point multiplication.
   1113  *
   1114  * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
   1115  * otherwise we dispatch through methods.
   1116  */
   1117 
   1118 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
   1119 	size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
   1120 	{
   1121 	if (group->meth->mul == 0)
   1122 		/* use default */
   1123 		return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
   1124 
   1125 	return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
   1126 	}
   1127 
   1128 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
   1129 	const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
   1130 	{
   1131 	/* just a convenient interface to EC_POINTs_mul() */
   1132 
   1133 	const EC_POINT *points[1];
   1134 	const BIGNUM *scalars[1];
   1135 
   1136 	points[0] = point;
   1137 	scalars[0] = p_scalar;
   1138 
   1139 	return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL), points, scalars, ctx);
   1140 	}
   1141 
   1142 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
   1143 	{
   1144 	if (group->meth->mul == 0)
   1145 		/* use default */
   1146 		return ec_wNAF_precompute_mult(group, ctx);
   1147 
   1148 	if (group->meth->precompute_mult != 0)
   1149 		return group->meth->precompute_mult(group, ctx);
   1150 	else
   1151 		return 1; /* nothing to do, so report success */
   1152 	}
   1153 
   1154 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
   1155 	{
   1156 	if (group->meth->mul == 0)
   1157 		/* use default */
   1158 		return ec_wNAF_have_precompute_mult(group);
   1159 
   1160 	if (group->meth->have_precompute_mult != 0)
   1161 		return group->meth->have_precompute_mult(group);
   1162 	else
   1163 		return 0; /* cannot tell whether precomputation has been performed */
   1164 	}
   1165