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diff --git a/src/lib/libcrypto/ec/ec2_smpl.c b/src/lib/libcrypto/ec/ec2_smpl.c
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1/* $OpenBSD: ec2_smpl.c,v 1.14 2015/02/09 15:49:22 jsing Exp $ */
2/* ====================================================================
3 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
4 *
5 * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
6 * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
7 * to the OpenSSL project.
8 *
9 * The ECC Code is licensed pursuant to the OpenSSL open source
10 * license provided below.
11 *
12 * The software is originally written by Sheueling Chang Shantz and
13 * Douglas Stebila of Sun Microsystems Laboratories.
14 *
15 */
16/* ====================================================================
17 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
18 *
19 * Redistribution and use in source and binary forms, with or without
20 * modification, are permitted provided that the following conditions
21 * are met:
22 *
23 * 1. Redistributions of source code must retain the above copyright
24 * notice, this list of conditions and the following disclaimer.
25 *
26 * 2. Redistributions in binary form must reproduce the above copyright
27 * notice, this list of conditions and the following disclaimer in
28 * the documentation and/or other materials provided with the
29 * distribution.
30 *
31 * 3. All advertising materials mentioning features or use of this
32 * software must display the following acknowledgment:
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
35 *
36 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
37 * endorse or promote products derived from this software without
38 * prior written permission. For written permission, please contact
39 * openssl-core@openssl.org.
40 *
41 * 5. Products derived from this software may not be called "OpenSSL"
42 * nor may "OpenSSL" appear in their names without prior written
43 * permission of the OpenSSL Project.
44 *
45 * 6. Redistributions of any form whatsoever must retain the following
46 * acknowledgment:
47 * "This product includes software developed by the OpenSSL Project
48 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
49 *
50 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
51 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
52 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
53 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
54 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
55 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
56 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
57 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
58 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
59 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
60 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
61 * OF THE POSSIBILITY OF SUCH DAMAGE.
62 * ====================================================================
63 *
64 * This product includes cryptographic software written by Eric Young
65 * (eay@cryptsoft.com). This product includes software written by Tim
66 * Hudson (tjh@cryptsoft.com).
67 *
68 */
69
70#include <openssl/opensslconf.h>
71
72#include <openssl/err.h>
73
74#include "ec_lcl.h"
75
76#ifndef OPENSSL_NO_EC2M
77
78const EC_METHOD *
79EC_GF2m_simple_method(void)
80{
81 static const EC_METHOD ret = {
82 .flags = EC_FLAGS_DEFAULT_OCT,
83 .field_type = NID_X9_62_characteristic_two_field,
84 .group_init = ec_GF2m_simple_group_init,
85 .group_finish = ec_GF2m_simple_group_finish,
86 .group_clear_finish = ec_GF2m_simple_group_clear_finish,
87 .group_copy = ec_GF2m_simple_group_copy,
88 .group_set_curve = ec_GF2m_simple_group_set_curve,
89 .group_get_curve = ec_GF2m_simple_group_get_curve,
90 .group_get_degree = ec_GF2m_simple_group_get_degree,
91 .group_check_discriminant =
92 ec_GF2m_simple_group_check_discriminant,
93 .point_init = ec_GF2m_simple_point_init,
94 .point_finish = ec_GF2m_simple_point_finish,
95 .point_clear_finish = ec_GF2m_simple_point_clear_finish,
96 .point_copy = ec_GF2m_simple_point_copy,
97 .point_set_to_infinity = ec_GF2m_simple_point_set_to_infinity,
98 .point_set_affine_coordinates =
99 ec_GF2m_simple_point_set_affine_coordinates,
100 .point_get_affine_coordinates =
101 ec_GF2m_simple_point_get_affine_coordinates,
102 .add = ec_GF2m_simple_add,
103 .dbl = ec_GF2m_simple_dbl,
104 .invert = ec_GF2m_simple_invert,
105 .is_at_infinity = ec_GF2m_simple_is_at_infinity,
106 .is_on_curve = ec_GF2m_simple_is_on_curve,
107 .point_cmp = ec_GF2m_simple_cmp,
108 .make_affine = ec_GF2m_simple_make_affine,
109 .points_make_affine = ec_GF2m_simple_points_make_affine,
110
111 /*
112 * the following three method functions are defined in
113 * ec2_mult.c
114 */
115 .mul = ec_GF2m_simple_mul,
116 .precompute_mult = ec_GF2m_precompute_mult,
117 .have_precompute_mult = ec_GF2m_have_precompute_mult,
118
119 .field_mul = ec_GF2m_simple_field_mul,
120 .field_sqr = ec_GF2m_simple_field_sqr,
121 .field_div = ec_GF2m_simple_field_div,
122 };
123
124 return &ret;
125}
126
127
128/* Initialize a GF(2^m)-based EC_GROUP structure.
129 * Note that all other members are handled by EC_GROUP_new.
130 */
131int
132ec_GF2m_simple_group_init(EC_GROUP * group)
133{
134 BN_init(&group->field);
135 BN_init(&group->a);
136 BN_init(&group->b);
137 return 1;
138}
139
140
141/* Free a GF(2^m)-based EC_GROUP structure.
142 * Note that all other members are handled by EC_GROUP_free.
143 */
144void
145ec_GF2m_simple_group_finish(EC_GROUP * group)
146{
147 BN_free(&group->field);
148 BN_free(&group->a);
149 BN_free(&group->b);
150}
151
152
153/* Clear and free a GF(2^m)-based EC_GROUP structure.
154 * Note that all other members are handled by EC_GROUP_clear_free.
155 */
156void
157ec_GF2m_simple_group_clear_finish(EC_GROUP * group)
158{
159 BN_clear_free(&group->field);
160 BN_clear_free(&group->a);
161 BN_clear_free(&group->b);
162 group->poly[0] = 0;
163 group->poly[1] = 0;
164 group->poly[2] = 0;
165 group->poly[3] = 0;
166 group->poly[4] = 0;
167 group->poly[5] = -1;
168}
169
170
171/* Copy a GF(2^m)-based EC_GROUP structure.
172 * Note that all other members are handled by EC_GROUP_copy.
173 */
174int
175ec_GF2m_simple_group_copy(EC_GROUP * dest, const EC_GROUP * src)
176{
177 int i;
178
179 if (!BN_copy(&dest->field, &src->field))
180 return 0;
181 if (!BN_copy(&dest->a, &src->a))
182 return 0;
183 if (!BN_copy(&dest->b, &src->b))
184 return 0;
185 dest->poly[0] = src->poly[0];
186 dest->poly[1] = src->poly[1];
187 dest->poly[2] = src->poly[2];
188 dest->poly[3] = src->poly[3];
189 dest->poly[4] = src->poly[4];
190 dest->poly[5] = src->poly[5];
191 if (bn_wexpand(&dest->a, (int) (dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL)
192 return 0;
193 if (bn_wexpand(&dest->b, (int) (dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL)
194 return 0;
195 for (i = dest->a.top; i < dest->a.dmax; i++)
196 dest->a.d[i] = 0;
197 for (i = dest->b.top; i < dest->b.dmax; i++)
198 dest->b.d[i] = 0;
199 return 1;
200}
201
202
203/* Set the curve parameters of an EC_GROUP structure. */
204int
205ec_GF2m_simple_group_set_curve(EC_GROUP * group,
206 const BIGNUM * p, const BIGNUM * a, const BIGNUM * b, BN_CTX * ctx)
207{
208 int ret = 0, i;
209
210 /* group->field */
211 if (!BN_copy(&group->field, p))
212 goto err;
213 i = BN_GF2m_poly2arr(&group->field, group->poly, 6) - 1;
214 if ((i != 5) && (i != 3)) {
215 ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE, EC_R_UNSUPPORTED_FIELD);
216 goto err;
217 }
218 /* group->a */
219 if (!BN_GF2m_mod_arr(&group->a, a, group->poly))
220 goto err;
221 if (bn_wexpand(&group->a, (int) (group->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL)
222 goto err;
223 for (i = group->a.top; i < group->a.dmax; i++)
224 group->a.d[i] = 0;
225
226 /* group->b */
227 if (!BN_GF2m_mod_arr(&group->b, b, group->poly))
228 goto err;
229 if (bn_wexpand(&group->b, (int) (group->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL)
230 goto err;
231 for (i = group->b.top; i < group->b.dmax; i++)
232 group->b.d[i] = 0;
233
234 ret = 1;
235err:
236 return ret;
237}
238
239
240/* Get the curve parameters of an EC_GROUP structure.
241 * If p, a, or b are NULL then there values will not be set but the method will return with success.
242 */
243int
244ec_GF2m_simple_group_get_curve(const EC_GROUP *group,
245 BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
246{
247 int ret = 0;
248
249 if (p != NULL) {
250 if (!BN_copy(p, &group->field))
251 return 0;
252 }
253 if (a != NULL) {
254 if (!BN_copy(a, &group->a))
255 goto err;
256 }
257 if (b != NULL) {
258 if (!BN_copy(b, &group->b))
259 goto err;
260 }
261 ret = 1;
262
263err:
264 return ret;
265}
266
267
268/* Gets the degree of the field. For a curve over GF(2^m) this is the value m. */
269int
270ec_GF2m_simple_group_get_degree(const EC_GROUP * group)
271{
272 return BN_num_bits(&group->field) - 1;
273}
274
275
276/* Checks the discriminant of the curve.
277 * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p)
278 */
279int
280ec_GF2m_simple_group_check_discriminant(const EC_GROUP * group, BN_CTX * ctx)
281{
282 int ret = 0;
283 BIGNUM *b;
284 BN_CTX *new_ctx = NULL;
285
286 if (ctx == NULL) {
287 ctx = new_ctx = BN_CTX_new();
288 if (ctx == NULL) {
289 ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT, ERR_R_MALLOC_FAILURE);
290 goto err;
291 }
292 }
293 BN_CTX_start(ctx);
294 if ((b = BN_CTX_get(ctx)) == NULL)
295 goto err;
296
297 if (!BN_GF2m_mod_arr(b, &group->b, group->poly))
298 goto err;
299
300 /*
301 * check the discriminant: y^2 + x*y = x^3 + a*x^2 + b is an elliptic
302 * curve <=> b != 0 (mod p)
303 */
304 if (BN_is_zero(b))
305 goto err;
306
307 ret = 1;
308
309err:
310 if (ctx != NULL)
311 BN_CTX_end(ctx);
312 BN_CTX_free(new_ctx);
313 return ret;
314}
315
316
317/* Initializes an EC_POINT. */
318int
319ec_GF2m_simple_point_init(EC_POINT * point)
320{
321 BN_init(&point->X);
322 BN_init(&point->Y);
323 BN_init(&point->Z);
324 return 1;
325}
326
327
328/* Frees an EC_POINT. */
329void
330ec_GF2m_simple_point_finish(EC_POINT * point)
331{
332 BN_free(&point->X);
333 BN_free(&point->Y);
334 BN_free(&point->Z);
335}
336
337
338/* Clears and frees an EC_POINT. */
339void
340ec_GF2m_simple_point_clear_finish(EC_POINT * point)
341{
342 BN_clear_free(&point->X);
343 BN_clear_free(&point->Y);
344 BN_clear_free(&point->Z);
345 point->Z_is_one = 0;
346}
347
348
349/* Copy the contents of one EC_POINT into another. Assumes dest is initialized. */
350int
351ec_GF2m_simple_point_copy(EC_POINT * dest, const EC_POINT * src)
352{
353 if (!BN_copy(&dest->X, &src->X))
354 return 0;
355 if (!BN_copy(&dest->Y, &src->Y))
356 return 0;
357 if (!BN_copy(&dest->Z, &src->Z))
358 return 0;
359 dest->Z_is_one = src->Z_is_one;
360
361 return 1;
362}
363
364
365/* Set an EC_POINT to the point at infinity.
366 * A point at infinity is represented by having Z=0.
367 */
368int
369ec_GF2m_simple_point_set_to_infinity(const EC_GROUP * group, EC_POINT * point)
370{
371 point->Z_is_one = 0;
372 BN_zero(&point->Z);
373 return 1;
374}
375
376
377/* Set the coordinates of an EC_POINT using affine coordinates.
378 * Note that the simple implementation only uses affine coordinates.
379 */
380int
381ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP * group, EC_POINT * point,
382 const BIGNUM * x, const BIGNUM * y, BN_CTX * ctx)
383{
384 int ret = 0;
385 if (x == NULL || y == NULL) {
386 ECerr(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES, ERR_R_PASSED_NULL_PARAMETER);
387 return 0;
388 }
389 if (!BN_copy(&point->X, x))
390 goto err;
391 BN_set_negative(&point->X, 0);
392 if (!BN_copy(&point->Y, y))
393 goto err;
394 BN_set_negative(&point->Y, 0);
395 if (!BN_copy(&point->Z, BN_value_one()))
396 goto err;
397 BN_set_negative(&point->Z, 0);
398 point->Z_is_one = 1;
399 ret = 1;
400
401err:
402 return ret;
403}
404
405
406/* Gets the affine coordinates of an EC_POINT.
407 * Note that the simple implementation only uses affine coordinates.
408 */
409int
410ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *group,
411 const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
412{
413 int ret = 0;
414
415 if (EC_POINT_is_at_infinity(group, point) > 0) {
416 ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
417 return 0;
418 }
419 if (BN_cmp(&point->Z, BN_value_one())) {
420 ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
421 return 0;
422 }
423 if (x != NULL) {
424 if (!BN_copy(x, &point->X))
425 goto err;
426 BN_set_negative(x, 0);
427 }
428 if (y != NULL) {
429 if (!BN_copy(y, &point->Y))
430 goto err;
431 BN_set_negative(y, 0);
432 }
433 ret = 1;
434
435err:
436 return ret;
437}
438
439/* Computes a + b and stores the result in r. r could be a or b, a could be b.
440 * Uses algorithm A.10.2 of IEEE P1363.
441 */
442int
443ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
444 const EC_POINT *b, BN_CTX *ctx)
445{
446 BN_CTX *new_ctx = NULL;
447 BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t;
448 int ret = 0;
449
450 if (EC_POINT_is_at_infinity(group, a) > 0) {
451 if (!EC_POINT_copy(r, b))
452 return 0;
453 return 1;
454 }
455 if (EC_POINT_is_at_infinity(group, b) > 0) {
456 if (!EC_POINT_copy(r, a))
457 return 0;
458 return 1;
459 }
460 if (ctx == NULL) {
461 ctx = new_ctx = BN_CTX_new();
462 if (ctx == NULL)
463 return 0;
464 }
465 BN_CTX_start(ctx);
466 if ((x0 = BN_CTX_get(ctx)) == NULL)
467 goto err;
468 if ((y0 = BN_CTX_get(ctx)) == NULL)
469 goto err;
470 if ((x1 = BN_CTX_get(ctx)) == NULL)
471 goto err;
472 if ((y1 = BN_CTX_get(ctx)) == NULL)
473 goto err;
474 if ((x2 = BN_CTX_get(ctx)) == NULL)
475 goto err;
476 if ((y2 = BN_CTX_get(ctx)) == NULL)
477 goto err;
478 if ((s = BN_CTX_get(ctx)) == NULL)
479 goto err;
480 if ((t = BN_CTX_get(ctx)) == NULL)
481 goto err;
482
483 if (a->Z_is_one) {
484 if (!BN_copy(x0, &a->X))
485 goto err;
486 if (!BN_copy(y0, &a->Y))
487 goto err;
488 } else {
489 if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx))
490 goto err;
491 }
492 if (b->Z_is_one) {
493 if (!BN_copy(x1, &b->X))
494 goto err;
495 if (!BN_copy(y1, &b->Y))
496 goto err;
497 } else {
498 if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx))
499 goto err;
500 }
501
502
503 if (BN_GF2m_cmp(x0, x1)) {
504 if (!BN_GF2m_add(t, x0, x1))
505 goto err;
506 if (!BN_GF2m_add(s, y0, y1))
507 goto err;
508 if (!group->meth->field_div(group, s, s, t, ctx))
509 goto err;
510 if (!group->meth->field_sqr(group, x2, s, ctx))
511 goto err;
512 if (!BN_GF2m_add(x2, x2, &group->a))
513 goto err;
514 if (!BN_GF2m_add(x2, x2, s))
515 goto err;
516 if (!BN_GF2m_add(x2, x2, t))
517 goto err;
518 } else {
519 if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1)) {
520 if (!EC_POINT_set_to_infinity(group, r))
521 goto err;
522 ret = 1;
523 goto err;
524 }
525 if (!group->meth->field_div(group, s, y1, x1, ctx))
526 goto err;
527 if (!BN_GF2m_add(s, s, x1))
528 goto err;
529
530 if (!group->meth->field_sqr(group, x2, s, ctx))
531 goto err;
532 if (!BN_GF2m_add(x2, x2, s))
533 goto err;
534 if (!BN_GF2m_add(x2, x2, &group->a))
535 goto err;
536 }
537
538 if (!BN_GF2m_add(y2, x1, x2))
539 goto err;
540 if (!group->meth->field_mul(group, y2, y2, s, ctx))
541 goto err;
542 if (!BN_GF2m_add(y2, y2, x2))
543 goto err;
544 if (!BN_GF2m_add(y2, y2, y1))
545 goto err;
546
547 if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx))
548 goto err;
549
550 ret = 1;
551
552err:
553 BN_CTX_end(ctx);
554 BN_CTX_free(new_ctx);
555 return ret;
556}
557
558
559/* Computes 2 * a and stores the result in r. r could be a.
560 * Uses algorithm A.10.2 of IEEE P1363.
561 */
562int
563ec_GF2m_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
564 BN_CTX *ctx)
565{
566 return ec_GF2m_simple_add(group, r, a, a, ctx);
567}
568
569int
570ec_GF2m_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
571{
572 if (EC_POINT_is_at_infinity(group, point) > 0 || BN_is_zero(&point->Y))
573 /* point is its own inverse */
574 return 1;
575
576 if (!EC_POINT_make_affine(group, point, ctx))
577 return 0;
578 return BN_GF2m_add(&point->Y, &point->X, &point->Y);
579}
580
581
582/* Indicates whether the given point is the point at infinity. */
583int
584ec_GF2m_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
585{
586 return BN_is_zero(&point->Z);
587}
588
589
590/* Determines whether the given EC_POINT is an actual point on the curve defined
591 * in the EC_GROUP. A point is valid if it satisfies the Weierstrass equation:
592 * y^2 + x*y = x^3 + a*x^2 + b.
593 */
594int
595ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
596{
597 int ret = -1;
598 BN_CTX *new_ctx = NULL;
599 BIGNUM *lh, *y2;
600 int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
601 int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
602
603 if (EC_POINT_is_at_infinity(group, point) > 0)
604 return 1;
605
606 field_mul = group->meth->field_mul;
607 field_sqr = group->meth->field_sqr;
608
609 /* only support affine coordinates */
610 if (!point->Z_is_one)
611 return -1;
612
613 if (ctx == NULL) {
614 ctx = new_ctx = BN_CTX_new();
615 if (ctx == NULL)
616 return -1;
617 }
618 BN_CTX_start(ctx);
619 if ((y2 = BN_CTX_get(ctx)) == NULL)
620 goto err;
621 if ((lh = BN_CTX_get(ctx)) == NULL)
622 goto err;
623
624 /*
625 * We have a curve defined by a Weierstrass equation y^2 + x*y = x^3
626 * + a*x^2 + b. <=> x^3 + a*x^2 + x*y + b + y^2 = 0 <=> ((x + a) * x
627 * + y ) * x + b + y^2 = 0
628 */
629 if (!BN_GF2m_add(lh, &point->X, &group->a))
630 goto err;
631 if (!field_mul(group, lh, lh, &point->X, ctx))
632 goto err;
633 if (!BN_GF2m_add(lh, lh, &point->Y))
634 goto err;
635 if (!field_mul(group, lh, lh, &point->X, ctx))
636 goto err;
637 if (!BN_GF2m_add(lh, lh, &group->b))
638 goto err;
639 if (!field_sqr(group, y2, &point->Y, ctx))
640 goto err;
641 if (!BN_GF2m_add(lh, lh, y2))
642 goto err;
643 ret = BN_is_zero(lh);
644err:
645 if (ctx)
646 BN_CTX_end(ctx);
647 BN_CTX_free(new_ctx);
648 return ret;
649}
650
651
652/* Indicates whether two points are equal.
653 * Return values:
654 * -1 error
655 * 0 equal (in affine coordinates)
656 * 1 not equal
657 */
658int
659ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a,
660 const EC_POINT *b, BN_CTX *ctx)
661{
662 BIGNUM *aX, *aY, *bX, *bY;
663 BN_CTX *new_ctx = NULL;
664 int ret = -1;
665
666 if (EC_POINT_is_at_infinity(group, a) > 0) {
667 return EC_POINT_is_at_infinity(group, b) > 0 ? 0 : 1;
668 }
669 if (EC_POINT_is_at_infinity(group, b) > 0)
670 return 1;
671
672 if (a->Z_is_one && b->Z_is_one) {
673 return ((BN_cmp(&a->X, &b->X) == 0) && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1;
674 }
675 if (ctx == NULL) {
676 ctx = new_ctx = BN_CTX_new();
677 if (ctx == NULL)
678 return -1;
679 }
680 BN_CTX_start(ctx);
681 if ((aX = BN_CTX_get(ctx)) == NULL)
682 goto err;
683 if ((aY = BN_CTX_get(ctx)) == NULL)
684 goto err;
685 if ((bX = BN_CTX_get(ctx)) == NULL)
686 goto err;
687 if ((bY = BN_CTX_get(ctx)) == NULL)
688 goto err;
689
690 if (!EC_POINT_get_affine_coordinates_GF2m(group, a, aX, aY, ctx))
691 goto err;
692 if (!EC_POINT_get_affine_coordinates_GF2m(group, b, bX, bY, ctx))
693 goto err;
694 ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1;
695
696err:
697 if (ctx)
698 BN_CTX_end(ctx);
699 BN_CTX_free(new_ctx);
700 return ret;
701}
702
703
704/* Forces the given EC_POINT to internally use affine coordinates. */
705int
706ec_GF2m_simple_make_affine(const EC_GROUP * group, EC_POINT * point, BN_CTX * ctx)
707{
708 BN_CTX *new_ctx = NULL;
709 BIGNUM *x, *y;
710 int ret = 0;
711
712 if (point->Z_is_one || EC_POINT_is_at_infinity(group, point) > 0)
713 return 1;
714
715 if (ctx == NULL) {
716 ctx = new_ctx = BN_CTX_new();
717 if (ctx == NULL)
718 return 0;
719 }
720 BN_CTX_start(ctx);
721 if ((x = BN_CTX_get(ctx)) == NULL)
722 goto err;
723 if ((y = BN_CTX_get(ctx)) == NULL)
724 goto err;
725
726 if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx))
727 goto err;
728 if (!BN_copy(&point->X, x))
729 goto err;
730 if (!BN_copy(&point->Y, y))
731 goto err;
732 if (!BN_one(&point->Z))
733 goto err;
734
735 ret = 1;
736
737err:
738 if (ctx)
739 BN_CTX_end(ctx);
740 BN_CTX_free(new_ctx);
741 return ret;
742}
743
744
745/* Forces each of the EC_POINTs in the given array to use affine coordinates. */
746int
747ec_GF2m_simple_points_make_affine(const EC_GROUP *group, size_t num,
748 EC_POINT *points[], BN_CTX *ctx)
749{
750 size_t i;
751
752 for (i = 0; i < num; i++) {
753 if (!group->meth->make_affine(group, points[i], ctx))
754 return 0;
755 }
756
757 return 1;
758}
759
760
761/* Wrapper to simple binary polynomial field multiplication implementation. */
762int
763ec_GF2m_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
764 const BIGNUM *b, BN_CTX *ctx)
765{
766 return BN_GF2m_mod_mul_arr(r, a, b, group->poly, ctx);
767}
768
769
770/* Wrapper to simple binary polynomial field squaring implementation. */
771int
772ec_GF2m_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
773 BN_CTX *ctx)
774{
775 return BN_GF2m_mod_sqr_arr(r, a, group->poly, ctx);
776}
777
778
779/* Wrapper to simple binary polynomial field division implementation. */
780int
781ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
782 const BIGNUM *b, BN_CTX *ctx)
783{
784 return BN_GF2m_mod_div(r, a, b, &group->field, ctx);
785}
786
787#endif
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-12-25 07:43:44 +0000