xref: /freebsd/crypto/openssl/crypto/ec/ec_lib.c (revision aa0a1e58)
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@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@cryptsoft.com).  This product includes software written by Tim
55  * Hudson (tjh@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, ERR_R_PASSED_NULL_PARAMETER);
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 != NULL && 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