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