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;
99 if (!meth->group_init(ret))
109 void EC_GROUP_free(EC_GROUP *group)
111 if (group->meth->group_finish != 0)
112 group->meth->group_finish(group);
114 EC_GROUP_free_extra_data(group);
120 void EC_GROUP_clear_free(EC_GROUP *group)
122 if (group->meth->group_clear_finish != 0)
123 group->meth->group_clear_finish(group);
124 else if (group->meth != NULL && group->meth->group_finish != 0)
125 group->meth->group_finish(group);
127 EC_GROUP_clear_free_extra_data(group);
129 memset(group, 0, sizeof *group);
134 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
136 if (dest->meth->group_copy == 0)
138 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
141 if (dest->meth != src->meth)
143 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
149 EC_GROUP_clear_free_extra_data(dest);
150 if (src->extra_data_dup_func)
152 if (src->extra_data != NULL)
154 dest->extra_data = src->extra_data_dup_func(src->extra_data);
155 if (dest->extra_data == NULL)
159 dest->extra_data_dup_func = src->extra_data_dup_func;
160 dest->extra_data_free_func = src->extra_data_free_func;
161 dest->extra_data_clear_free_func = src->extra_data_clear_free_func;
164 return dest->meth->group_copy(dest, src);
168 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
174 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
176 if (group->meth->group_set_curve_GFp == 0)
178 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
181 return group->meth->group_set_curve_GFp(group, p, a, b, ctx);
185 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
187 if (group->meth->group_get_curve_GFp == 0)
189 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
192 return group->meth->group_get_curve_GFp(group, p, a, b, ctx);
196 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
198 if (group->meth->group_set_generator == 0)
200 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
203 return group->meth->group_set_generator(group, generator, order, cofactor);
207 EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
209 if (group->meth->group_get0_generator == 0)
211 ECerr(EC_F_EC_GROUP_GET0_GENERATOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
214 return group->meth->group_get0_generator(group);
218 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
220 if (group->meth->group_get_order == 0)
222 ECerr(EC_F_EC_GROUP_GET_ORDER, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
225 return group->meth->group_get_order(group, order, ctx);
229 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
231 if (group->meth->group_get_cofactor == 0)
233 ECerr(EC_F_EC_GROUP_GET_COFACTOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
236 return group->meth->group_get_cofactor(group, cofactor, ctx);
240 /* this has 'package' visibility */
241 int EC_GROUP_set_extra_data(EC_GROUP *group, void *extra_data, void *(*extra_data_dup_func)(void *),
242 void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
244 if ((group->extra_data != NULL)
245 || (group->extra_data_dup_func != 0)
246 || (group->extra_data_free_func != 0)
247 || (group->extra_data_clear_free_func != 0))
249 ECerr(EC_F_EC_GROUP_SET_EXTRA_DATA, EC_R_SLOT_FULL);
253 group->extra_data = extra_data;
254 group->extra_data_dup_func = extra_data_dup_func;
255 group->extra_data_free_func = extra_data_free_func;
256 group->extra_data_clear_free_func = extra_data_clear_free_func;
261 /* this has 'package' visibility */
262 void *EC_GROUP_get_extra_data(const EC_GROUP *group, void *(*extra_data_dup_func)(void *),
263 void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
265 if ((group->extra_data_dup_func != extra_data_dup_func)
266 || (group->extra_data_free_func != extra_data_free_func)
267 || (group->extra_data_clear_free_func != extra_data_clear_free_func))
269 ECerr(EC_F_EC_GROUP_GET_EXTRA_DATA, EC_R_NO_SUCH_EXTRA_DATA);
273 return group->extra_data;
277 /* this has 'package' visibility */
278 void EC_GROUP_free_extra_data(EC_GROUP *group)
280 if (group->extra_data_free_func)
281 group->extra_data_free_func(group->extra_data);
282 group->extra_data = NULL;
283 group->extra_data_dup_func = 0;
284 group->extra_data_free_func = 0;
285 group->extra_data_clear_free_func = 0;
289 /* this has 'package' visibility */
290 void EC_GROUP_clear_free_extra_data(EC_GROUP *group)
292 if (group->extra_data_clear_free_func)
293 group->extra_data_clear_free_func(group->extra_data);
294 else 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;
302 void EC_GROUP_set_nid(EC_GROUP *group, int nid)
307 int EC_GROUP_get_nid(const EC_GROUP *group)
314 /* functions for EC_POINT objects */
316 EC_POINT *EC_POINT_new(const EC_GROUP *group)
322 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
325 if (group->meth->point_init == 0)
327 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
331 ret = OPENSSL_malloc(sizeof *ret);
334 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
338 ret->meth = group->meth;
340 if (!ret->meth->point_init(ret))
350 void EC_POINT_free(EC_POINT *point)
352 if (point->meth->point_finish != 0)
353 point->meth->point_finish(point);
358 void EC_POINT_clear_free(EC_POINT *point)
360 if (point->meth->point_clear_finish != 0)
361 point->meth->point_clear_finish(point);
362 else if (point->meth != NULL && point->meth->point_finish != 0)
363 point->meth->point_finish(point);
364 memset(point, 0, sizeof *point);
369 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
371 if (dest->meth->point_copy == 0)
373 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
376 if (dest->meth != src->meth)
378 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
383 return dest->meth->point_copy(dest, src);
387 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
393 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
395 if (group->meth->point_set_to_infinity == 0)
397 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
400 if (group->meth != point->meth)
402 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
405 return group->meth->point_set_to_infinity(group, point);
409 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
410 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
412 if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
414 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
417 if (group->meth != point->meth)
419 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
422 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
426 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
427 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
429 if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
431 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
434 if (group->meth != point->meth)
436 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
439 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
443 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
444 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
446 if (group->meth->point_set_affine_coordinates_GFp == 0)
448 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
451 if (group->meth != point->meth)
453 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
456 return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx);
460 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
461 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
463 if (group->meth->point_get_affine_coordinates_GFp == 0)
465 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
468 if (group->meth != point->meth)
470 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
473 return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx);
477 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
478 const BIGNUM *x, int y_bit, BN_CTX *ctx)
480 if (group->meth->point_set_compressed_coordinates_GFp == 0)
482 ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
485 if (group->meth != point->meth)
487 ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
490 return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx);
494 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
495 unsigned char *buf, size_t len, BN_CTX *ctx)
497 if (group->meth->point2oct == 0)
499 ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
502 if (group->meth != point->meth)
504 ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
507 return group->meth->point2oct(group, point, form, buf, len, ctx);
511 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
512 const unsigned char *buf, size_t len, BN_CTX *ctx)
514 if (group->meth->oct2point == 0)
516 ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
519 if (group->meth != point->meth)
521 ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
524 return group->meth->oct2point(group, point, buf, len, ctx);
528 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
530 if (group->meth->add == 0)
532 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
535 if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
537 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
540 return group->meth->add(group, r, a, b, ctx);
544 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
546 if (group->meth->dbl == 0)
548 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
551 if ((group->meth != r->meth) || (r->meth != a->meth))
553 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
556 return group->meth->dbl(group, r, a, ctx);
560 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
562 if (group->meth->dbl == 0)
564 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
567 if (group->meth != a->meth)
569 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
572 return group->meth->invert(group, a, ctx);
576 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
578 if (group->meth->is_at_infinity == 0)
580 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
583 if (group->meth != point->meth)
585 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
588 return group->meth->is_at_infinity(group, point);
592 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
594 if (group->meth->is_on_curve == 0)
596 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
599 if (group->meth != point->meth)
601 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
604 return group->meth->is_on_curve(group, point, ctx);
608 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
610 if (group->meth->point_cmp == 0)
612 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
615 if ((group->meth != a->meth) || (a->meth != b->meth))
617 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
620 return group->meth->point_cmp(group, a, b, ctx);
624 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
626 if (group->meth->make_affine == 0)
628 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
631 if (group->meth != point->meth)
633 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
636 return group->meth->make_affine(group, point, ctx);
640 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
644 if (group->meth->points_make_affine == 0)
646 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
649 for (i = 0; i < num; i++)
651 if (group->meth != points[i]->meth)
653 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
657 return group->meth->points_make_affine(group, num, points, ctx);