1 /* crypto/ec/ec_lib.c */
2 /* ====================================================================
3 * Copyright (c) 1998-2001 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;
97 if (!meth->group_init(ret))
107 void EC_GROUP_free(EC_GROUP *group)
109 if (group->meth->group_finish != 0)
110 group->meth->group_finish(group);
112 EC_GROUP_free_extra_data(group);
118 void EC_GROUP_clear_free(EC_GROUP *group)
120 if (group->meth->group_clear_finish != 0)
121 group->meth->group_clear_finish(group);
122 else if (group->meth != NULL && group->meth->group_finish != 0)
123 group->meth->group_finish(group);
125 EC_GROUP_clear_free_extra_data(group);
127 memset(group, 0, sizeof *group);
132 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
134 if (dest->meth->group_copy == 0)
136 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
139 if (dest->meth != src->meth)
141 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
147 EC_GROUP_clear_free_extra_data(dest);
148 if (src->extra_data_dup_func)
150 if (src->extra_data != NULL)
152 dest->extra_data = src->extra_data_dup_func(src->extra_data);
153 if (dest->extra_data == NULL)
157 dest->extra_data_dup_func = src->extra_data_dup_func;
158 dest->extra_data_free_func = src->extra_data_free_func;
159 dest->extra_data_clear_free_func = src->extra_data_clear_free_func;
162 return dest->meth->group_copy(dest, src);
166 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
172 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
174 if (group->meth->group_set_curve_GFp == 0)
176 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
179 return group->meth->group_set_curve_GFp(group, p, a, b, ctx);
183 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
185 if (group->meth->group_get_curve_GFp == 0)
187 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
190 return group->meth->group_get_curve_GFp(group, p, a, b, ctx);
194 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
196 if (group->meth->group_set_generator == 0)
198 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
201 return group->meth->group_set_generator(group, generator, order, cofactor);
205 EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
207 if (group->meth->group_get0_generator == 0)
209 ECerr(EC_F_EC_GROUP_GET0_GENERATOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
212 return group->meth->group_get0_generator(group);
216 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
218 if (group->meth->group_get_order == 0)
220 ECerr(EC_F_EC_GROUP_GET_ORDER, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
223 return group->meth->group_get_order(group, order, ctx);
227 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
229 if (group->meth->group_get_cofactor == 0)
231 ECerr(EC_F_EC_GROUP_GET_COFACTOR, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
234 return group->meth->group_get_cofactor(group, cofactor, ctx);
238 /* this has 'package' visibility */
239 int EC_GROUP_set_extra_data(EC_GROUP *group, void *extra_data, void *(*extra_data_dup_func)(void *),
240 void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
242 if ((group->extra_data != NULL)
243 || (group->extra_data_dup_func != 0)
244 || (group->extra_data_free_func != 0)
245 || (group->extra_data_clear_free_func != 0))
247 ECerr(EC_F_EC_GROUP_SET_EXTRA_DATA, EC_R_SLOT_FULL);
251 group->extra_data = extra_data;
252 group->extra_data_dup_func = extra_data_dup_func;
253 group->extra_data_free_func = extra_data_free_func;
254 group->extra_data_clear_free_func = extra_data_clear_free_func;
259 /* this has 'package' visibility */
260 void *EC_GROUP_get_extra_data(const EC_GROUP *group, void *(*extra_data_dup_func)(void *),
261 void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
263 if ((group->extra_data_dup_func != extra_data_dup_func)
264 || (group->extra_data_free_func != extra_data_free_func)
265 || (group->extra_data_clear_free_func != extra_data_clear_free_func))
267 ECerr(EC_F_EC_GROUP_GET_EXTRA_DATA, EC_R_NO_SUCH_EXTRA_DATA);
271 return group->extra_data;
275 /* this has 'package' visibility */
276 void EC_GROUP_free_extra_data(EC_GROUP *group)
278 if (group->extra_data_free_func)
279 group->extra_data_free_func(group->extra_data);
280 group->extra_data = NULL;
281 group->extra_data_dup_func = 0;
282 group->extra_data_free_func = 0;
283 group->extra_data_clear_free_func = 0;
287 /* this has 'package' visibility */
288 void EC_GROUP_clear_free_extra_data(EC_GROUP *group)
290 if (group->extra_data_clear_free_func)
291 group->extra_data_clear_free_func(group->extra_data);
292 else if (group->extra_data_free_func)
293 group->extra_data_free_func(group->extra_data);
294 group->extra_data = NULL;
295 group->extra_data_dup_func = 0;
296 group->extra_data_free_func = 0;
297 group->extra_data_clear_free_func = 0;
302 /* functions for EC_POINT objects */
304 EC_POINT *EC_POINT_new(const EC_GROUP *group)
310 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
313 if (group->meth->point_init == 0)
315 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
319 ret = OPENSSL_malloc(sizeof *ret);
322 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
326 ret->meth = group->meth;
328 if (!ret->meth->point_init(ret))
338 void EC_POINT_free(EC_POINT *point)
340 if (point->meth->point_finish != 0)
341 point->meth->point_finish(point);
346 void EC_POINT_clear_free(EC_POINT *point)
348 if (point->meth->point_clear_finish != 0)
349 point->meth->point_clear_finish(point);
350 else if (point->meth != NULL && point->meth->point_finish != 0)
351 point->meth->point_finish(point);
352 memset(point, 0, sizeof *point);
357 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
359 if (dest->meth->point_copy == 0)
361 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
364 if (dest->meth != src->meth)
366 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
371 return dest->meth->point_copy(dest, src);
375 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
381 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
383 if (group->meth->point_set_to_infinity == 0)
385 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
388 if (group->meth != point->meth)
390 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
393 return group->meth->point_set_to_infinity(group, point);
397 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
398 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
400 if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
402 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
405 if (group->meth != point->meth)
407 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
410 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
414 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
415 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
417 if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
419 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
422 if (group->meth != point->meth)
424 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
427 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
431 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
432 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
434 if (group->meth->point_set_affine_coordinates_GFp == 0)
436 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
439 if (group->meth != point->meth)
441 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
444 return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx);
448 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
449 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
451 if (group->meth->point_get_affine_coordinates_GFp == 0)
453 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
456 if (group->meth != point->meth)
458 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
461 return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx);
465 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
466 const BIGNUM *x, int y_bit, BN_CTX *ctx)
468 if (group->meth->point_set_compressed_coordinates_GFp == 0)
470 ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
473 if (group->meth != point->meth)
475 ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
478 return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx);
482 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
483 unsigned char *buf, size_t len, BN_CTX *ctx)
485 if (group->meth->point2oct == 0)
487 ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
490 if (group->meth != point->meth)
492 ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
495 return group->meth->point2oct(group, point, form, buf, len, ctx);
499 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
500 const unsigned char *buf, size_t len, BN_CTX *ctx)
502 if (group->meth->oct2point == 0)
504 ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
507 if (group->meth != point->meth)
509 ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
512 return group->meth->oct2point(group, point, buf, len, ctx);
516 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
518 if (group->meth->add == 0)
520 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
523 if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
525 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
528 return group->meth->add(group, r, a, b, ctx);
532 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
534 if (group->meth->dbl == 0)
536 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
539 if ((group->meth != r->meth) || (r->meth != a->meth))
541 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
544 return group->meth->dbl(group, r, a, ctx);
548 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
550 if (group->meth->dbl == 0)
552 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
555 if (group->meth != a->meth)
557 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
560 return group->meth->invert(group, a, ctx);
564 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
566 if (group->meth->is_at_infinity == 0)
568 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
571 if (group->meth != point->meth)
573 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
576 return group->meth->is_at_infinity(group, point);
580 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
582 if (group->meth->is_on_curve == 0)
584 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
587 if (group->meth != point->meth)
589 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
592 return group->meth->is_on_curve(group, point, ctx);
596 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
598 if (group->meth->point_cmp == 0)
600 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
603 if ((group->meth != a->meth) || (a->meth != b->meth))
605 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
608 return group->meth->point_cmp(group, a, b, ctx);
612 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
614 if (group->meth->make_affine == 0)
616 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
619 if (group->meth != point->meth)
621 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
624 return group->meth->make_affine(group, point, ctx);
628 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
632 if (group->meth->points_make_affine == 0)
634 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
637 for (i = 0; i < num; i++)
639 if (group->meth != points[i]->meth)
641 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
645 return group->meth->points_make_affine(group, num, points, ctx);