1 /* crypto/ec/ec_lib.c */
2 /* ====================================================================
3 * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
12 * 2. Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in
14 * the documentation and/or other materials provided with the
17 * 3. All advertising materials mentioning features or use of this
18 * software must display the following acknowledgment:
19 * "This product includes software developed by the OpenSSL Project
20 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
22 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
23 * endorse or promote products derived from this software without
24 * prior written permission. For written permission, please contact
25 * openssl-core@openssl.org.
27 * 5. Products derived from this software may not be called "OpenSSL"
28 * nor may "OpenSSL" appear in their names without prior written
29 * permission of the OpenSSL Project.
31 * 6. Redistributions of any form whatsoever must retain the following
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
36 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
37 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
38 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
39 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
40 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
41 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
42 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
43 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
44 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
45 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
46 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
47 * OF THE POSSIBILITY OF SUCH DAMAGE.
48 * ====================================================================
50 * This product includes cryptographic software written by Eric Young
51 * (eay@cryptsoft.com). This product includes software written by Tim
52 * Hudson (tjh@cryptsoft.com).
58 #include <openssl/err.h>
59 #include <openssl/opensslv.h>
63 static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
66 /* functions for EC_GROUP objects */
68 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
74 ECerr(EC_F_EC_GROUP_NEW, ERR_R_PASSED_NULL_PARAMETER);
77 if (meth->group_init == 0)
79 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
83 ret = OPENSSL_malloc(sizeof *ret);
86 ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
92 ret->extra_data = NULL;
93 ret->extra_data_dup_func = 0;
94 ret->extra_data_free_func = 0;
95 ret->extra_data_clear_free_func = 0;
101 if (!meth->group_init(ret))
111 void EC_GROUP_free(EC_GROUP *group)
115 i = CRYPTO_add(&group->references, -1, CRYPTO_LOCK_EC);
119 if (group->meth->group_finish != 0)
120 group->meth->group_finish(group);
122 EC_GROUP_free_extra_data(group);
128 void EC_GROUP_clear_free(EC_GROUP *group)
132 i = CRYPTO_add(&group->references, -1, CRYPTO_LOCK_EC);
136 if (group->meth->group_clear_finish != 0)
137 group->meth->group_clear_finish(group);
138 else if (group->meth != NULL && group->meth->group_finish != 0)
139 group->meth->group_finish(group);
141 EC_GROUP_clear_free_extra_data(group);
143 memset(group, 0, sizeof *group);
148 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
150 if (dest->meth->group_copy == 0)
152 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
155 if (dest->meth != src->meth)
157 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
163 EC_GROUP_clear_free_extra_data(dest);
164 if (src->extra_data_dup_func)
166 if (src->extra_data != NULL)
168 dest->extra_data = src->extra_data_dup_func(src->extra_data);
169 if (dest->extra_data == NULL)
173 dest->extra_data_dup_func = src->extra_data_dup_func;
174 dest->extra_data_free_func = src->extra_data_free_func;
175 dest->extra_data_clear_free_func = src->extra_data_clear_free_func;
178 return dest->meth->group_copy(dest, src);
182 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
188 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
190 if (group->meth->group_set_curve_GFp == 0)
192 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
195 return group->meth->group_set_curve_GFp(group, p, a, b, ctx);
199 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
201 if (group->meth->group_get_curve_GFp == 0)
203 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
206 return group->meth->group_get_curve_GFp(group, p, a, b, ctx);
210 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
212 if (group->meth->group_set_generator == 0)
214 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
217 return group->meth->group_set_generator(group, generator, order, cofactor);
221 EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
223 if (group->meth->group_get0_generator == 0)
225 ECerr(EC_F_EC_GROUP_GET0_GENERATOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
228 return group->meth->group_get0_generator(group);
232 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
234 if (group->meth->group_get_order == 0)
236 ECerr(EC_F_EC_GROUP_GET_ORDER, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
239 return group->meth->group_get_order(group, order, ctx);
243 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
245 if (group->meth->group_get_cofactor == 0)
247 ECerr(EC_F_EC_GROUP_GET_COFACTOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
250 return group->meth->group_get_cofactor(group, cofactor, ctx);
254 /* this has 'package' visibility */
255 int EC_GROUP_set_extra_data(EC_GROUP *group, void *extra_data, void *(*extra_data_dup_func)(void *),
256 void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
258 if ((group->extra_data != NULL)
259 || (group->extra_data_dup_func != 0)
260 || (group->extra_data_free_func != 0)
261 || (group->extra_data_clear_free_func != 0))
263 ECerr(EC_F_EC_GROUP_SET_EXTRA_DATA, EC_R_SLOT_FULL);
267 group->extra_data = extra_data;
268 group->extra_data_dup_func = extra_data_dup_func;
269 group->extra_data_free_func = extra_data_free_func;
270 group->extra_data_clear_free_func = extra_data_clear_free_func;
275 /* this has 'package' visibility */
276 void *EC_GROUP_get_extra_data(const EC_GROUP *group, void *(*extra_data_dup_func)(void *),
277 void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
279 if ((group->extra_data_dup_func != extra_data_dup_func)
280 || (group->extra_data_free_func != extra_data_free_func)
281 || (group->extra_data_clear_free_func != extra_data_clear_free_func))
283 ECerr(EC_F_EC_GROUP_GET_EXTRA_DATA, EC_R_NO_SUCH_EXTRA_DATA);
287 return group->extra_data;
291 /* this has 'package' visibility */
292 void EC_GROUP_free_extra_data(EC_GROUP *group)
294 if (group->extra_data_free_func)
295 group->extra_data_free_func(group->extra_data);
296 group->extra_data = NULL;
297 group->extra_data_dup_func = 0;
298 group->extra_data_free_func = 0;
299 group->extra_data_clear_free_func = 0;
303 /* this has 'package' visibility */
304 void EC_GROUP_clear_free_extra_data(EC_GROUP *group)
306 if (group->extra_data_clear_free_func)
307 group->extra_data_clear_free_func(group->extra_data);
308 else if (group->extra_data_free_func)
309 group->extra_data_free_func(group->extra_data);
310 group->extra_data = NULL;
311 group->extra_data_dup_func = 0;
312 group->extra_data_free_func = 0;
313 group->extra_data_clear_free_func = 0;
316 void EC_GROUP_set_nid(EC_GROUP *group, int nid)
321 int EC_GROUP_get_nid(const EC_GROUP *group)
328 /* functions for EC_POINT objects */
330 EC_POINT *EC_POINT_new(const EC_GROUP *group)
336 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
339 if (group->meth->point_init == 0)
341 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
345 ret = OPENSSL_malloc(sizeof *ret);
348 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
352 ret->meth = group->meth;
354 if (!ret->meth->point_init(ret))
364 void EC_POINT_free(EC_POINT *point)
366 if (point->meth->point_finish != 0)
367 point->meth->point_finish(point);
372 void EC_POINT_clear_free(EC_POINT *point)
374 if (point->meth->point_clear_finish != 0)
375 point->meth->point_clear_finish(point);
376 else if (point->meth != NULL && point->meth->point_finish != 0)
377 point->meth->point_finish(point);
378 memset(point, 0, sizeof *point);
383 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
385 if (dest->meth->point_copy == 0)
387 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
390 if (dest->meth != src->meth)
392 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
397 return dest->meth->point_copy(dest, src);
401 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
407 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
409 if (group->meth->point_set_to_infinity == 0)
411 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
414 if (group->meth != point->meth)
416 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
419 return group->meth->point_set_to_infinity(group, point);
423 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
424 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
426 if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
428 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
431 if (group->meth != point->meth)
433 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
436 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
440 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
441 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
443 if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
445 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
448 if (group->meth != point->meth)
450 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
453 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
457 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
458 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
460 if (group->meth->point_set_affine_coordinates_GFp == 0)
462 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
465 if (group->meth != point->meth)
467 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
470 return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx);
474 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
475 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
477 if (group->meth->point_get_affine_coordinates_GFp == 0)
479 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
482 if (group->meth != point->meth)
484 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
487 return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx);
491 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
492 const BIGNUM *x, int y_bit, BN_CTX *ctx)
494 if (group->meth->point_set_compressed_coordinates_GFp == 0)
496 ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
499 if (group->meth != point->meth)
501 ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
504 return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx);
508 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
509 unsigned char *buf, size_t len, BN_CTX *ctx)
511 if (group->meth->point2oct == 0)
513 ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
516 if (group->meth != point->meth)
518 ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
521 return group->meth->point2oct(group, point, form, buf, len, ctx);
525 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
526 const unsigned char *buf, size_t len, BN_CTX *ctx)
528 if (group->meth->oct2point == 0)
530 ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
533 if (group->meth != point->meth)
535 ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
538 return group->meth->oct2point(group, point, buf, len, ctx);
542 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
544 if (group->meth->add == 0)
546 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
549 if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
551 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
554 return group->meth->add(group, r, a, b, ctx);
558 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
560 if (group->meth->dbl == 0)
562 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
565 if ((group->meth != r->meth) || (r->meth != a->meth))
567 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
570 return group->meth->dbl(group, r, a, ctx);
574 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
576 if (group->meth->dbl == 0)
578 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
581 if (group->meth != a->meth)
583 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
586 return group->meth->invert(group, a, ctx);
590 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
592 if (group->meth->is_at_infinity == 0)
594 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
597 if (group->meth != point->meth)
599 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
602 return group->meth->is_at_infinity(group, point);
606 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
608 if (group->meth->is_on_curve == 0)
610 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
613 if (group->meth != point->meth)
615 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
618 return group->meth->is_on_curve(group, point, ctx);
622 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
624 if (group->meth->point_cmp == 0)
626 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
629 if ((group->meth != a->meth) || (a->meth != b->meth))
631 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
634 return group->meth->point_cmp(group, a, b, ctx);
638 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
640 if (group->meth->make_affine == 0)
642 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
645 if (group->meth != point->meth)
647 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
650 return group->meth->make_affine(group, point, ctx);
654 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
658 if (group->meth->points_make_affine == 0)
660 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
663 for (i = 0; i < num; i++)
665 if (group->meth != points[i]->meth)
667 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
671 return group->meth->points_make_affine(group, num, points, ctx);