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OpenSSL 1.0.2g
[tomato.git] / release / src / router / openssl / crypto / ec / ectest.c
blob40a1f003259fafdfc861f71167080b6cc09cdc6d
1 /* crypto/ec/ectest.c */
2 /*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
5 /* ====================================================================
6 * Copyright (c) 1998-2001 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 *
61 * Portions of the attached software ("Contribution") are developed by
62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63 *
64 * The Contribution is licensed pursuant to the OpenSSL open source
65 * license provided above.
66 *
67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
71
72 #include <stdio.h>
73 #include <stdlib.h>
74 #ifdef FLAT_INC
75 # include "e_os.h"
76 #else
77 # include "../e_os.h"
78 #endif
79 #include <string.h>
80 #include <time.h>
81
82 #ifdef OPENSSL_NO_EC
83 int main(int argc, char *argv[])
84 {
85 puts("Elliptic curves are disabled.");
86 return 0;
87 }
88 #else
89
90 # include <openssl/ec.h>
91 # ifndef OPENSSL_NO_ENGINE
92 # include <openssl/engine.h>
93 # endif
94 # include <openssl/err.h>
95 # include <openssl/obj_mac.h>
96 # include <openssl/objects.h>
97 # include <openssl/rand.h>
98 # include <openssl/bn.h>
99 # include <openssl/opensslconf.h>
100
101 # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
102 /* suppress "too big too optimize" warning */
103 # pragma warning(disable:4959)
104 # endif
105
106 # define ABORT do { \
107 fflush(stdout); \
108 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
109 ERR_print_errors_fp(stderr); \
110 EXIT(1); \
111 } while (0)
112
113 # define TIMING_BASE_PT 0
114 # define TIMING_RAND_PT 1
115 # define TIMING_SIMUL 2
116
117 # if 0
118 static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
119 {
120 clock_t clck;
121 int i, j;
122 BIGNUM *s;
123 BIGNUM *r[10], *r0[10];
124 EC_POINT *P;
125
126 s = BN_new();
127 if (s == NULL)
128 ABORT;
129
130 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
131 if (!EC_GROUP_get_order(group, s, ctx))
132 ABORT;
133 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
134 fflush(stdout);
135
136 P = EC_POINT_new(group);
137 if (P == NULL)
138 ABORT;
139 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
140
141 for (i = 0; i < 10; i++) {
142 if ((r[i] = BN_new()) == NULL)
143 ABORT;
144 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0))
145 ABORT;
146 if (type != TIMING_BASE_PT) {
147 if ((r0[i] = BN_new()) == NULL)
148 ABORT;
149 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0))
150 ABORT;
151 }
152 }
153
154 clck = clock();
155 for (i = 0; i < 10; i++) {
156 for (j = 0; j < 10; j++) {
157 if (!EC_POINT_mul
158 (group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
159 (type != TIMING_BASE_PT) ? P : NULL,
160 (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx))
161 ABORT;
162 }
163 }
164 clck = clock() - clck;
165
166 fprintf(stdout, "\n");
167
168 # ifdef CLOCKS_PER_SEC
169 /*
170 * "To determine the time in seconds, the value returned by the clock
171 * function should be divided by the value of the macro CLOCKS_PER_SEC."
172 * -- ISO/IEC 9899
173 */
174 # define UNIT "s"
175 # else
176 /*
177 * "`CLOCKS_PER_SEC' undeclared (first use this function)" -- cc on
178 * NeXTstep/OpenStep
179 */
180 # define UNIT "units"
181 # define CLOCKS_PER_SEC 1
182 # endif
183
184 if (type == TIMING_BASE_PT) {
185 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i * j,
186 "base point multiplications", (double)clck / CLOCKS_PER_SEC);
187 } else if (type == TIMING_RAND_PT) {
188 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i * j,
189 "random point multiplications",
190 (double)clck / CLOCKS_PER_SEC);
191 } else if (type == TIMING_SIMUL) {
192 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i * j,
193 "s*P+t*Q operations", (double)clck / CLOCKS_PER_SEC);
194 }
195 fprintf(stdout, "average: %.4f " UNIT "\n",
196 (double)clck / (CLOCKS_PER_SEC * i * j));
197
198 EC_POINT_free(P);
199 BN_free(s);
200 for (i = 0; i < 10; i++) {
201 BN_free(r[i]);
202 if (type != TIMING_BASE_PT)
203 BN_free(r0[i]);
204 }
205 }
206 # endif
207
208 /* test multiplication with group order, long and negative scalars */
209 static void group_order_tests(EC_GROUP *group)
210 {
211 BIGNUM *n1, *n2, *order;
212 EC_POINT *P = EC_POINT_new(group);
213 EC_POINT *Q = EC_POINT_new(group);
214 BN_CTX *ctx = BN_CTX_new();
215 int i;
216
217 n1 = BN_new();
218 n2 = BN_new();
219 order = BN_new();
220 fprintf(stdout, "verify group order ...");
221 fflush(stdout);
222 if (!EC_GROUP_get_order(group, order, ctx))
223 ABORT;
224 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
225 ABORT;
226 if (!EC_POINT_is_at_infinity(group, Q))
227 ABORT;
228 fprintf(stdout, ".");
229 fflush(stdout);
230 if (!EC_GROUP_precompute_mult(group, ctx))
231 ABORT;
232 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
233 ABORT;
234 if (!EC_POINT_is_at_infinity(group, Q))
235 ABORT;
236 fprintf(stdout, " ok\n");
237 fprintf(stdout, "long/negative scalar tests ");
238 for (i = 1; i <= 2; i++) {
239 const BIGNUM *scalars[6];
240 const EC_POINT *points[6];
241
242 fprintf(stdout, i == 1 ?
243 "allowing precomputation ... " :
244 "without precomputation ... ");
245 if (!BN_set_word(n1, i))
246 ABORT;
247 /*
248 * If i == 1, P will be the predefined generator for which
249 * EC_GROUP_precompute_mult has set up precomputation.
250 */
251 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
252 ABORT;
253
254 if (!BN_one(n1))
255 ABORT;
256 /* n1 = 1 - order */
257 if (!BN_sub(n1, n1, order))
258 ABORT;
259 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
260 ABORT;
261 if (0 != EC_POINT_cmp(group, Q, P, ctx))
262 ABORT;
263
264 /* n2 = 1 + order */
265 if (!BN_add(n2, order, BN_value_one()))
266 ABORT;
267 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
268 ABORT;
269 if (0 != EC_POINT_cmp(group, Q, P, ctx))
270 ABORT;
271
272 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
273 if (!BN_mul(n2, n1, n2, ctx))
274 ABORT;
275 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
276 ABORT;
277 if (0 != EC_POINT_cmp(group, Q, P, ctx))
278 ABORT;
279
280 /* n2 = order^2 - 1 */
281 BN_set_negative(n2, 0);
282 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
283 ABORT;
284 /* Add P to verify the result. */
285 if (!EC_POINT_add(group, Q, Q, P, ctx))
286 ABORT;
287 if (!EC_POINT_is_at_infinity(group, Q))
288 ABORT;
289
290 /* Exercise EC_POINTs_mul, including corner cases. */
291 if (EC_POINT_is_at_infinity(group, P))
292 ABORT;
293 scalars[0] = n1;
294 points[0] = Q; /* => infinity */
295 scalars[1] = n2;
296 points[1] = P; /* => -P */
297 scalars[2] = n1;
298 points[2] = Q; /* => infinity */
299 scalars[3] = n2;
300 points[3] = Q; /* => infinity */
301 scalars[4] = n1;
302 points[4] = P; /* => P */
303 scalars[5] = n2;
304 points[5] = Q; /* => infinity */
305 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
306 ABORT;
307 if (!EC_POINT_is_at_infinity(group, P))
308 ABORT;
309 }
310 fprintf(stdout, "ok\n");
311
312 EC_POINT_free(P);
313 EC_POINT_free(Q);
314 BN_free(n1);
315 BN_free(n2);
316 BN_free(order);
317 BN_CTX_free(ctx);
318 }
319
320 static void prime_field_tests(void)
321 {
322 BN_CTX *ctx = NULL;
323 BIGNUM *p, *a, *b;
324 EC_GROUP *group;
325 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
326 NULL, *P_384 = NULL, *P_521 = NULL;
327 EC_POINT *P, *Q, *R;
328 BIGNUM *x, *y, *z;
329 unsigned char buf[100];
330 size_t i, len;
331 int k;
332
333 # if 1 /* optional */
334 ctx = BN_CTX_new();
335 if (!ctx)
336 ABORT;
337 # endif
338
339 p = BN_new();
340 a = BN_new();
341 b = BN_new();
342 if (!p || !a || !b)
343 ABORT;
344
345 if (!BN_hex2bn(&p, "17"))
346 ABORT;
347 if (!BN_hex2bn(&a, "1"))
348 ABORT;
349 if (!BN_hex2bn(&b, "1"))
350 ABORT;
351
352 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
353 * EC_GROUP_new_curve_GFp so
354 * that the library gets to
355 * choose the EC_METHOD */
356 if (!group)
357 ABORT;
358
359 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
360 ABORT;
361
362 {
363 EC_GROUP *tmp;
364 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
365 if (!tmp)
366 ABORT;
367 if (!EC_GROUP_copy(tmp, group))
368 ABORT;
369 EC_GROUP_free(group);
370 group = tmp;
371 }
372
373 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
374 ABORT;
375
376 fprintf(stdout,
377 "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
378 BN_print_fp(stdout, p);
379 fprintf(stdout, ")\n a = 0x");
380 BN_print_fp(stdout, a);
381 fprintf(stdout, "\n b = 0x");
382 BN_print_fp(stdout, b);
383 fprintf(stdout, "\n");
384
385 P = EC_POINT_new(group);
386 Q = EC_POINT_new(group);
387 R = EC_POINT_new(group);
388 if (!P || !Q || !R)
389 ABORT;
390
391 if (!EC_POINT_set_to_infinity(group, P))
392 ABORT;
393 if (!EC_POINT_is_at_infinity(group, P))
394 ABORT;
395
396 buf[0] = 0;
397 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
398 ABORT;
399
400 if (!EC_POINT_add(group, P, P, Q, ctx))
401 ABORT;
402 if (!EC_POINT_is_at_infinity(group, P))
403 ABORT;
404
405 x = BN_new();
406 y = BN_new();
407 z = BN_new();
408 if (!x || !y || !z)
409 ABORT;
410
411 if (!BN_hex2bn(&x, "D"))
412 ABORT;
413 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
414 ABORT;
415 if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
416 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
417 ABORT;
418 fprintf(stderr, "Point is not on curve: x = 0x");
419 BN_print_fp(stderr, x);
420 fprintf(stderr, ", y = 0x");
421 BN_print_fp(stderr, y);
422 fprintf(stderr, "\n");
423 ABORT;
424 }
425
426 fprintf(stdout, "A cyclic subgroup:\n");
427 k = 100;
428 do {
429 if (k-- == 0)
430 ABORT;
431
432 if (EC_POINT_is_at_infinity(group, P))
433 fprintf(stdout, " point at infinity\n");
434 else {
435 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
436 ABORT;
437
438 fprintf(stdout, " x = 0x");
439 BN_print_fp(stdout, x);
440 fprintf(stdout, ", y = 0x");
441 BN_print_fp(stdout, y);
442 fprintf(stdout, "\n");
443 }
444
445 if (!EC_POINT_copy(R, P))
446 ABORT;
447 if (!EC_POINT_add(group, P, P, Q, ctx))
448 ABORT;
449
450 # if 0 /* optional */
451 {
452 EC_POINT *points[3];
453
454 points[0] = R;
455 points[1] = Q;
456 points[2] = P;
457 if (!EC_POINTs_make_affine(group, 2, points, ctx))
458 ABORT;
459 }
460 # endif
461
462 }
463 while (!EC_POINT_is_at_infinity(group, P));
464
465 if (!EC_POINT_add(group, P, Q, R, ctx))
466 ABORT;
467 if (!EC_POINT_is_at_infinity(group, P))
468 ABORT;
469
470 len =
471 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
472 sizeof buf, ctx);
473 if (len == 0)
474 ABORT;
475 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
476 ABORT;
477 if (0 != EC_POINT_cmp(group, P, Q, ctx))
478 ABORT;
479 fprintf(stdout, "Generator as octet string, compressed form:\n ");
480 for (i = 0; i < len; i++)
481 fprintf(stdout, "%02X", buf[i]);
482
483 len =
484 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
485 sizeof buf, ctx);
486 if (len == 0)
487 ABORT;
488 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
489 ABORT;
490 if (0 != EC_POINT_cmp(group, P, Q, ctx))
491 ABORT;
492 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
493 for (i = 0; i < len; i++)
494 fprintf(stdout, "%02X", buf[i]);
495
496 len =
497 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
498 ctx);
499 if (len == 0)
500 ABORT;
501 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
502 ABORT;
503 if (0 != EC_POINT_cmp(group, P, Q, ctx))
504 ABORT;
505 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
506 for (i = 0; i < len; i++)
507 fprintf(stdout, "%02X", buf[i]);
508
509 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
510 ABORT;
511 fprintf(stdout,
512 "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
513 BN_print_fp(stdout, x);
514 fprintf(stdout, ", Y = 0x");
515 BN_print_fp(stdout, y);
516 fprintf(stdout, ", Z = 0x");
517 BN_print_fp(stdout, z);
518 fprintf(stdout, "\n");
519
520 if (!EC_POINT_invert(group, P, ctx))
521 ABORT;
522 if (0 != EC_POINT_cmp(group, P, R, ctx))
523 ABORT;
524
525 /*
526 * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
527 * 2000) -- not a NIST curve, but commonly used
528 */
529
530 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
531 ABORT;
532 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
533 ABORT;
534 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
535 ABORT;
536 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
537 ABORT;
538 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
539 ABORT;
540
541 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
542 ABORT;
543 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
544 ABORT;
545 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
546 ABORT;
547 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
548 ABORT;
549 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
550 ABORT;
551 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
552 ABORT;
553
554 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
555 ABORT;
556 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
557 BN_print_fp(stdout, x);
558 fprintf(stdout, "\n y = 0x");
559 BN_print_fp(stdout, y);
560 fprintf(stdout, "\n");
561 /* G_y value taken from the standard: */
562 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
563 ABORT;
564 if (0 != BN_cmp(y, z))
565 ABORT;
566
567 fprintf(stdout, "verify degree ...");
568 if (EC_GROUP_get_degree(group) != 160)
569 ABORT;
570 fprintf(stdout, " ok\n");
571
572 group_order_tests(group);
573
574 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group))))
575 ABORT;
576 if (!EC_GROUP_copy(P_160, group))
577 ABORT;
578
579 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
580
581 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
582 ABORT;
583 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
584 ABORT;
585 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
586 ABORT;
587 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
588 ABORT;
589 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
590 ABORT;
591
592 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
593 ABORT;
594 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
595 ABORT;
596 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
597 ABORT;
598 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
599 ABORT;
600 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
601 ABORT;
602
603 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
604 ABORT;
605 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
606 BN_print_fp(stdout, x);
607 fprintf(stdout, "\n y = 0x");
608 BN_print_fp(stdout, y);
609 fprintf(stdout, "\n");
610 /* G_y value taken from the standard: */
611 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
612 ABORT;
613 if (0 != BN_cmp(y, z))
614 ABORT;
615
616 fprintf(stdout, "verify degree ...");
617 if (EC_GROUP_get_degree(group) != 192)
618 ABORT;
619 fprintf(stdout, " ok\n");
620
621 group_order_tests(group);
622
623 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group))))
624 ABORT;
625 if (!EC_GROUP_copy(P_192, group))
626 ABORT;
627
628 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
629
630 if (!BN_hex2bn
631 (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
632 ABORT;
633 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
634 ABORT;
635 if (!BN_hex2bn
636 (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
637 ABORT;
638 if (!BN_hex2bn
639 (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
640 ABORT;
641 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
642 ABORT;
643
644 if (!BN_hex2bn
645 (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
646 ABORT;
647 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
648 ABORT;
649 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
650 ABORT;
651 if (!BN_hex2bn
652 (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
653 ABORT;
654 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
655 ABORT;
656
657 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
658 ABORT;
659 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
660 BN_print_fp(stdout, x);
661 fprintf(stdout, "\n y = 0x");
662 BN_print_fp(stdout, y);
663 fprintf(stdout, "\n");
664 /* G_y value taken from the standard: */
665 if (!BN_hex2bn
666 (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
667 ABORT;
668 if (0 != BN_cmp(y, z))
669 ABORT;
670
671 fprintf(stdout, "verify degree ...");
672 if (EC_GROUP_get_degree(group) != 224)
673 ABORT;
674 fprintf(stdout, " ok\n");
675
676 group_order_tests(group);
677
678 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))))
679 ABORT;
680 if (!EC_GROUP_copy(P_224, group))
681 ABORT;
682
683 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
684
685 if (!BN_hex2bn
686 (&p,
687 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
688 ABORT;
689 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
690 ABORT;
691 if (!BN_hex2bn
692 (&a,
693 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
694 ABORT;
695 if (!BN_hex2bn
696 (&b,
697 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
698 ABORT;
699 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
700 ABORT;
701
702 if (!BN_hex2bn
703 (&x,
704 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
705 ABORT;
706 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
707 ABORT;
708 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
709 ABORT;
710 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
711 "84F3B9CAC2FC632551"))
712 ABORT;
713 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
714 ABORT;
715
716 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
717 ABORT;
718 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
719 BN_print_fp(stdout, x);
720 fprintf(stdout, "\n y = 0x");
721 BN_print_fp(stdout, y);
722 fprintf(stdout, "\n");
723 /* G_y value taken from the standard: */
724 if (!BN_hex2bn
725 (&z,
726 "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
727 ABORT;
728 if (0 != BN_cmp(y, z))
729 ABORT;
730
731 fprintf(stdout, "verify degree ...");
732 if (EC_GROUP_get_degree(group) != 256)
733 ABORT;
734 fprintf(stdout, " ok\n");
735
736 group_order_tests(group);
737
738 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))))
739 ABORT;
740 if (!EC_GROUP_copy(P_256, group))
741 ABORT;
742
743 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
744
745 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
746 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
747 ABORT;
748 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
749 ABORT;
750 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
751 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
752 ABORT;
753 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
754 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
755 ABORT;
756 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
757 ABORT;
758
759 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
760 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
761 ABORT;
762 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
763 ABORT;
764 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
765 ABORT;
766 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
767 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
768 ABORT;
769 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
770 ABORT;
771
772 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
773 ABORT;
774 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
775 BN_print_fp(stdout, x);
776 fprintf(stdout, "\n y = 0x");
777 BN_print_fp(stdout, y);
778 fprintf(stdout, "\n");
779 /* G_y value taken from the standard: */
780 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
781 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
782 ABORT;
783 if (0 != BN_cmp(y, z))
784 ABORT;
785
786 fprintf(stdout, "verify degree ...");
787 if (EC_GROUP_get_degree(group) != 384)
788 ABORT;
789 fprintf(stdout, " ok\n");
790
791 group_order_tests(group);
792
793 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))))
794 ABORT;
795 if (!EC_GROUP_copy(P_384, group))
796 ABORT;
797
798 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
799
800 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
801 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
802 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
803 ABORT;
804 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
805 ABORT;
806 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
807 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
808 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
809 ABORT;
810 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
811 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
812 "DF883D2C34F1EF451FD46B503F00"))
813 ABORT;
814 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
815 ABORT;
816
817 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
818 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
819 "3C1856A429BF97E7E31C2E5BD66"))
820 ABORT;
821 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
822 ABORT;
823 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
824 ABORT;
825 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
826 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
827 "C9B8899C47AEBB6FB71E91386409"))
828 ABORT;
829 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
830 ABORT;
831
832 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
833 ABORT;
834 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
835 BN_print_fp(stdout, x);
836 fprintf(stdout, "\n y = 0x");
837 BN_print_fp(stdout, y);
838 fprintf(stdout, "\n");
839 /* G_y value taken from the standard: */
840 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
841 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
842 "7086A272C24088BE94769FD16650"))
843 ABORT;
844 if (0 != BN_cmp(y, z))
845 ABORT;
846
847 fprintf(stdout, "verify degree ...");
848 if (EC_GROUP_get_degree(group) != 521)
849 ABORT;
850 fprintf(stdout, " ok\n");
851
852 group_order_tests(group);
853
854 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))))
855 ABORT;
856 if (!EC_GROUP_copy(P_521, group))
857 ABORT;
858
859 /* more tests using the last curve */
860
861 if (!EC_POINT_copy(Q, P))
862 ABORT;
863 if (EC_POINT_is_at_infinity(group, Q))
864 ABORT;
865 if (!EC_POINT_dbl(group, P, P, ctx))
866 ABORT;
867 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
868 ABORT;
869 if (!EC_POINT_invert(group, Q, ctx))
870 ABORT; /* P = -2Q */
871
872 if (!EC_POINT_add(group, R, P, Q, ctx))
873 ABORT;
874 if (!EC_POINT_add(group, R, R, Q, ctx))
875 ABORT;
876 if (!EC_POINT_is_at_infinity(group, R))
877 ABORT; /* R = P + 2Q */
878
879 {
880 const EC_POINT *points[4];
881 const BIGNUM *scalars[4];
882 BIGNUM scalar3;
883
884 if (EC_POINT_is_at_infinity(group, Q))
885 ABORT;
886 points[0] = Q;
887 points[1] = Q;
888 points[2] = Q;
889 points[3] = Q;
890
891 if (!EC_GROUP_get_order(group, z, ctx))
892 ABORT;
893 if (!BN_add(y, z, BN_value_one()))
894 ABORT;
895 if (BN_is_odd(y))
896 ABORT;
897 if (!BN_rshift1(y, y))
898 ABORT;
899 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
900 scalars[1] = y;
901
902 fprintf(stdout, "combined multiplication ...");
903 fflush(stdout);
904
905 /* z is still the group order */
906 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
907 ABORT;
908 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
909 ABORT;
910 if (0 != EC_POINT_cmp(group, P, R, ctx))
911 ABORT;
912 if (0 != EC_POINT_cmp(group, R, Q, ctx))
913 ABORT;
914
915 fprintf(stdout, ".");
916 fflush(stdout);
917
918 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
919 ABORT;
920 if (!BN_add(z, z, y))
921 ABORT;
922 BN_set_negative(z, 1);
923 scalars[0] = y;
924 scalars[1] = z; /* z = -(order + y) */
925
926 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
927 ABORT;
928 if (!EC_POINT_is_at_infinity(group, P))
929 ABORT;
930
931 fprintf(stdout, ".");
932 fflush(stdout);
933
934 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
935 ABORT;
936 if (!BN_add(z, x, y))
937 ABORT;
938 BN_set_negative(z, 1);
939 scalars[0] = x;
940 scalars[1] = y;
941 scalars[2] = z; /* z = -(x+y) */
942
943 BN_init(&scalar3);
944 BN_zero(&scalar3);
945 scalars[3] = &scalar3;
946
947 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
948 ABORT;
949 if (!EC_POINT_is_at_infinity(group, P))
950 ABORT;
951
952 fprintf(stdout, " ok\n\n");
953
954 BN_free(&scalar3);
955 }
956
957 # if 0
958 timings(P_160, TIMING_BASE_PT, ctx);
959 timings(P_160, TIMING_RAND_PT, ctx);
960 timings(P_160, TIMING_SIMUL, ctx);
961 timings(P_192, TIMING_BASE_PT, ctx);
962 timings(P_192, TIMING_RAND_PT, ctx);
963 timings(P_192, TIMING_SIMUL, ctx);
964 timings(P_224, TIMING_BASE_PT, ctx);
965 timings(P_224, TIMING_RAND_PT, ctx);
966 timings(P_224, TIMING_SIMUL, ctx);
967 timings(P_256, TIMING_BASE_PT, ctx);
968 timings(P_256, TIMING_RAND_PT, ctx);
969 timings(P_256, TIMING_SIMUL, ctx);
970 timings(P_384, TIMING_BASE_PT, ctx);
971 timings(P_384, TIMING_RAND_PT, ctx);
972 timings(P_384, TIMING_SIMUL, ctx);
973 timings(P_521, TIMING_BASE_PT, ctx);
974 timings(P_521, TIMING_RAND_PT, ctx);
975 timings(P_521, TIMING_SIMUL, ctx);
976 # endif
977
978 if (ctx)
979 BN_CTX_free(ctx);
980 BN_free(p);
981 BN_free(a);
982 BN_free(b);
983 EC_GROUP_free(group);
984 EC_POINT_free(P);
985 EC_POINT_free(Q);
986 EC_POINT_free(R);
987 BN_free(x);
988 BN_free(y);
989 BN_free(z);
990
991 if (P_160)
992 EC_GROUP_free(P_160);
993 if (P_192)
994 EC_GROUP_free(P_192);
995 if (P_224)
996 EC_GROUP_free(P_224);
997 if (P_256)
998 EC_GROUP_free(P_256);
999 if (P_384)
1000 EC_GROUP_free(P_384);
1001 if (P_521)
1002 EC_GROUP_free(P_521);
1003
1004 }
1005
1006 /* Change test based on whether binary point compression is enabled or not. */
1007 # ifdef OPENSSL_EC_BIN_PT_COMP
1008 # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
1009 if (!BN_hex2bn(&x, _x)) ABORT; \
1010 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
1011 if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
1012 if (!BN_hex2bn(&z, _order)) ABORT; \
1013 if (!BN_hex2bn(&cof, _cof)) ABORT; \
1014 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
1015 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
1016 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
1017 BN_print_fp(stdout, x); \
1018 fprintf(stdout, "\n y = 0x"); \
1019 BN_print_fp(stdout, y); \
1020 fprintf(stdout, "\n"); \
1021 /* G_y value taken from the standard: */ \
1022 if (!BN_hex2bn(&z, _y)) ABORT; \
1023 if (0 != BN_cmp(y, z)) ABORT;
1024 # else
1025 # define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
1026 if (!BN_hex2bn(&x, _x)) ABORT; \
1027 if (!BN_hex2bn(&y, _y)) ABORT; \
1028 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
1029 if (EC_POINT_is_on_curve(group, P, ctx) <= 0) ABORT; \
1030 if (!BN_hex2bn(&z, _order)) ABORT; \
1031 if (!BN_hex2bn(&cof, _cof)) ABORT; \
1032 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
1033 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
1034 BN_print_fp(stdout, x); \
1035 fprintf(stdout, "\n y = 0x"); \
1036 BN_print_fp(stdout, y); \
1037 fprintf(stdout, "\n");
1038 # endif
1039
1040 # define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
1041 if (!BN_hex2bn(&p, _p)) ABORT; \
1042 if (!BN_hex2bn(&a, _a)) ABORT; \
1043 if (!BN_hex2bn(&b, _b)) ABORT; \
1044 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
1045 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
1046 fprintf(stdout, "verify degree ..."); \
1047 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
1048 fprintf(stdout, " ok\n"); \
1049 group_order_tests(group); \
1050 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
1051 if (!EC_GROUP_copy(_variable, group)) ABORT; \
1052
1053 # ifndef OPENSSL_NO_EC2M
1054
1055 static void char2_field_tests(void)
1056 {
1057 BN_CTX *ctx = NULL;
1058 BIGNUM *p, *a, *b;
1059 EC_GROUP *group;
1060 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
1061 NULL, *C2_K571 = NULL;
1062 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
1063 NULL, *C2_B571 = NULL;
1064 EC_POINT *P, *Q, *R;
1065 BIGNUM *x, *y, *z, *cof;
1066 unsigned char buf[100];
1067 size_t i, len;
1068 int k;
1069
1070 # if 1 /* optional */
1071 ctx = BN_CTX_new();
1072 if (!ctx)
1073 ABORT;
1074 # endif
1075
1076 p = BN_new();
1077 a = BN_new();
1078 b = BN_new();
1079 if (!p || !a || !b)
1080 ABORT;
1081
1082 if (!BN_hex2bn(&p, "13"))
1083 ABORT;
1084 if (!BN_hex2bn(&a, "3"))
1085 ABORT;
1086 if (!BN_hex2bn(&b, "1"))
1087 ABORT;
1088
1089 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
1090 * EC_GROUP_new_curve_GF2m
1091 * so that the library gets
1092 * to choose the EC_METHOD */
1093 if (!group)
1094 ABORT;
1095 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
1096 ABORT;
1097
1098 {
1099 EC_GROUP *tmp;
1100 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
1101 if (!tmp)
1102 ABORT;
1103 if (!EC_GROUP_copy(tmp, group))
1104 ABORT;
1105 EC_GROUP_free(group);
1106 group = tmp;
1107 }
1108
1109 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
1110 ABORT;
1111
1112 fprintf(stdout,
1113 "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
1114 BN_print_fp(stdout, p);
1115 fprintf(stdout, ")\n a = 0x");
1116 BN_print_fp(stdout, a);
1117 fprintf(stdout, "\n b = 0x");
1118 BN_print_fp(stdout, b);
1119 fprintf(stdout, "\n(0x... means binary polynomial)\n");
1120
1121 P = EC_POINT_new(group);
1122 Q = EC_POINT_new(group);
1123 R = EC_POINT_new(group);
1124 if (!P || !Q || !R)
1125 ABORT;
1126
1127 if (!EC_POINT_set_to_infinity(group, P))
1128 ABORT;
1129 if (!EC_POINT_is_at_infinity(group, P))
1130 ABORT;
1131
1132 buf[0] = 0;
1133 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
1134 ABORT;
1135
1136 if (!EC_POINT_add(group, P, P, Q, ctx))
1137 ABORT;
1138 if (!EC_POINT_is_at_infinity(group, P))
1139 ABORT;
1140
1141 x = BN_new();
1142 y = BN_new();
1143 z = BN_new();
1144 cof = BN_new();
1145 if (!x || !y || !z || !cof)
1146 ABORT;
1147
1148 if (!BN_hex2bn(&x, "6"))
1149 ABORT;
1150 /* Change test based on whether binary point compression is enabled or not. */
1151 # ifdef OPENSSL_EC_BIN_PT_COMP
1152 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
1153 ABORT;
1154 # else
1155 if (!BN_hex2bn(&y, "8"))
1156 ABORT;
1157 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
1158 ABORT;
1159 # endif
1160 if (EC_POINT_is_on_curve(group, Q, ctx) <= 0) {
1161 /* Change test based on whether binary point compression is enabled or not. */
1162 # ifdef OPENSSL_EC_BIN_PT_COMP
1163 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
1164 ABORT;
1165 # endif
1166 fprintf(stderr, "Point is not on curve: x = 0x");
1167 BN_print_fp(stderr, x);
1168 fprintf(stderr, ", y = 0x");
1169 BN_print_fp(stderr, y);
1170 fprintf(stderr, "\n");
1171 ABORT;
1172 }
1173
1174 fprintf(stdout, "A cyclic subgroup:\n");
1175 k = 100;
1176 do {
1177 if (k-- == 0)
1178 ABORT;
1179
1180 if (EC_POINT_is_at_infinity(group, P))
1181 fprintf(stdout, " point at infinity\n");
1182 else {
1183 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
1184 ABORT;
1185
1186 fprintf(stdout, " x = 0x");
1187 BN_print_fp(stdout, x);
1188 fprintf(stdout, ", y = 0x");
1189 BN_print_fp(stdout, y);
1190 fprintf(stdout, "\n");
1191 }
1192
1193 if (!EC_POINT_copy(R, P))
1194 ABORT;
1195 if (!EC_POINT_add(group, P, P, Q, ctx))
1196 ABORT;
1197 }
1198 while (!EC_POINT_is_at_infinity(group, P));
1199
1200 if (!EC_POINT_add(group, P, Q, R, ctx))
1201 ABORT;
1202 if (!EC_POINT_is_at_infinity(group, P))
1203 ABORT;
1204
1205 /* Change test based on whether binary point compression is enabled or not. */
1206 # ifdef OPENSSL_EC_BIN_PT_COMP
1207 len =
1208 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
1209 sizeof buf, ctx);
1210 if (len == 0)
1211 ABORT;
1212 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1213 ABORT;
1214 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1215 ABORT;
1216 fprintf(stdout, "Generator as octet string, compressed form:\n ");
1217 for (i = 0; i < len; i++)
1218 fprintf(stdout, "%02X", buf[i]);
1219 # endif
1220
1221 len =
1222 EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
1223 sizeof buf, ctx);
1224 if (len == 0)
1225 ABORT;
1226 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1227 ABORT;
1228 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1229 ABORT;
1230 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
1231 for (i = 0; i < len; i++)
1232 fprintf(stdout, "%02X", buf[i]);
1233
1234 /* Change test based on whether binary point compression is enabled or not. */
1235 # ifdef OPENSSL_EC_BIN_PT_COMP
1236 len =
1237 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
1238 ctx);
1239 if (len == 0)
1240 ABORT;
1241 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
1242 ABORT;
1243 if (0 != EC_POINT_cmp(group, P, Q, ctx))
1244 ABORT;
1245 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
1246 for (i = 0; i < len; i++)
1247 fprintf(stdout, "%02X", buf[i]);
1248 # endif
1249
1250 fprintf(stdout, "\n");
1251
1252 if (!EC_POINT_invert(group, P, ctx))
1253 ABORT;
1254 if (0 != EC_POINT_cmp(group, P, R, ctx))
1255 ABORT;
1256
1257 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
1258 CHAR2_CURVE_TEST
1259 ("NIST curve K-163",
1260 "0800000000000000000000000000000000000000C9",
1261 "1",
1262 "1",
1263 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
1264 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1265 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163, C2_K163);
1266
1267 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
1268 CHAR2_CURVE_TEST
1269 ("NIST curve B-163",
1270 "0800000000000000000000000000000000000000C9",
1271 "1",
1272 "020A601907B8C953CA1481EB10512F78744A3205FD",
1273 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
1274 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1275 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163, C2_B163);
1276
1277 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1278 CHAR2_CURVE_TEST
1279 ("NIST curve K-233",
1280 "020000000000000000000000000000000000000004000000000000000001",
1281 "0",
1282 "1",
1283 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1284 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1285 0,
1286 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1287 "4", 233, C2_K233);
1288
1289 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1290 CHAR2_CURVE_TEST
1291 ("NIST curve B-233",
1292 "020000000000000000000000000000000000000004000000000000000001",
1293 "000000000000000000000000000000000000000000000000000000000001",
1294 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1295 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1296 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1297 1,
1298 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1299 "2", 233, C2_B233);
1300
1301 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1302 CHAR2_CURVE_TEST
1303 ("NIST curve K-283",
1304 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1305 "0",
1306 "1",
1307 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1308 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1309 0,
1310 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1311 "4", 283, C2_K283);
1312
1313 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1314 CHAR2_CURVE_TEST
1315 ("NIST curve B-283",
1316 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1317 "000000000000000000000000000000000000000000000000000000000000000000000001",
1318 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1319 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1320 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1321 1,
1322 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1323 "2", 283, C2_B283);
1324
1325 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1326 CHAR2_CURVE_TEST
1327 ("NIST curve K-409",
1328 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1329 "0",
1330 "1",
1331 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1332 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1333 1,
1334 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1335 "4", 409, C2_K409);
1336
1337 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1338 CHAR2_CURVE_TEST
1339 ("NIST curve B-409",
1340 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1341 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1342 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1343 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1344 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1345 1,
1346 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1347 "2", 409, C2_B409);
1348
1349 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1350 CHAR2_CURVE_TEST
1351 ("NIST curve K-571",
1352 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1353 "0",
1354 "1",
1355 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1356 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1357 0,
1358 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1359 "4", 571, C2_K571);
1360
1361 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1362 CHAR2_CURVE_TEST
1363 ("NIST curve B-571",
1364 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1365 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1366 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1367 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1368 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1369 1,
1370 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1371 "2", 571, C2_B571);
1372
1373 /* more tests using the last curve */
1374
1375 if (!EC_POINT_copy(Q, P))
1376 ABORT;
1377 if (EC_POINT_is_at_infinity(group, Q))
1378 ABORT;
1379 if (!EC_POINT_dbl(group, P, P, ctx))
1380 ABORT;
1381 if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
1382 ABORT;
1383 if (!EC_POINT_invert(group, Q, ctx))
1384 ABORT; /* P = -2Q */
1385
1386 if (!EC_POINT_add(group, R, P, Q, ctx))
1387 ABORT;
1388 if (!EC_POINT_add(group, R, R, Q, ctx))
1389 ABORT;
1390 if (!EC_POINT_is_at_infinity(group, R))
1391 ABORT; /* R = P + 2Q */
1392
1393 {
1394 const EC_POINT *points[3];
1395 const BIGNUM *scalars[3];
1396
1397 if (EC_POINT_is_at_infinity(group, Q))
1398 ABORT;
1399 points[0] = Q;
1400 points[1] = Q;
1401 points[2] = Q;
1402
1403 if (!BN_add(y, z, BN_value_one()))
1404 ABORT;
1405 if (BN_is_odd(y))
1406 ABORT;
1407 if (!BN_rshift1(y, y))
1408 ABORT;
1409 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1410 scalars[1] = y;
1411
1412 fprintf(stdout, "combined multiplication ...");
1413 fflush(stdout);
1414
1415 /* z is still the group order */
1416 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1417 ABORT;
1418 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
1419 ABORT;
1420 if (0 != EC_POINT_cmp(group, P, R, ctx))
1421 ABORT;
1422 if (0 != EC_POINT_cmp(group, R, Q, ctx))
1423 ABORT;
1424
1425 fprintf(stdout, ".");
1426 fflush(stdout);
1427
1428 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
1429 ABORT;
1430 if (!BN_add(z, z, y))
1431 ABORT;
1432 BN_set_negative(z, 1);
1433 scalars[0] = y;
1434 scalars[1] = z; /* z = -(order + y) */
1435
1436 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
1437 ABORT;
1438 if (!EC_POINT_is_at_infinity(group, P))
1439 ABORT;
1440
1441 fprintf(stdout, ".");
1442 fflush(stdout);
1443
1444 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
1445 ABORT;
1446 if (!BN_add(z, x, y))
1447 ABORT;
1448 BN_set_negative(z, 1);
1449 scalars[0] = x;
1450 scalars[1] = y;
1451 scalars[2] = z; /* z = -(x+y) */
1452
1453 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
1454 ABORT;
1455 if (!EC_POINT_is_at_infinity(group, P))
1456 ABORT;
1457
1458 fprintf(stdout, " ok\n\n");
1459 }
1460
1461 # if 0
1462 timings(C2_K163, TIMING_BASE_PT, ctx);
1463 timings(C2_K163, TIMING_RAND_PT, ctx);
1464 timings(C2_K163, TIMING_SIMUL, ctx);
1465 timings(C2_B163, TIMING_BASE_PT, ctx);
1466 timings(C2_B163, TIMING_RAND_PT, ctx);
1467 timings(C2_B163, TIMING_SIMUL, ctx);
1468 timings(C2_K233, TIMING_BASE_PT, ctx);
1469 timings(C2_K233, TIMING_RAND_PT, ctx);
1470 timings(C2_K233, TIMING_SIMUL, ctx);
1471 timings(C2_B233, TIMING_BASE_PT, ctx);
1472 timings(C2_B233, TIMING_RAND_PT, ctx);
1473 timings(C2_B233, TIMING_SIMUL, ctx);
1474 timings(C2_K283, TIMING_BASE_PT, ctx);
1475 timings(C2_K283, TIMING_RAND_PT, ctx);
1476 timings(C2_K283, TIMING_SIMUL, ctx);
1477 timings(C2_B283, TIMING_BASE_PT, ctx);
1478 timings(C2_B283, TIMING_RAND_PT, ctx);
1479 timings(C2_B283, TIMING_SIMUL, ctx);
1480 timings(C2_K409, TIMING_BASE_PT, ctx);
1481 timings(C2_K409, TIMING_RAND_PT, ctx);
1482 timings(C2_K409, TIMING_SIMUL, ctx);
1483 timings(C2_B409, TIMING_BASE_PT, ctx);
1484 timings(C2_B409, TIMING_RAND_PT, ctx);
1485 timings(C2_B409, TIMING_SIMUL, ctx);
1486 timings(C2_K571, TIMING_BASE_PT, ctx);
1487 timings(C2_K571, TIMING_RAND_PT, ctx);
1488 timings(C2_K571, TIMING_SIMUL, ctx);
1489 timings(C2_B571, TIMING_BASE_PT, ctx);
1490 timings(C2_B571, TIMING_RAND_PT, ctx);
1491 timings(C2_B571, TIMING_SIMUL, ctx);
1492 # endif
1493
1494 if (ctx)
1495 BN_CTX_free(ctx);
1496 BN_free(p);
1497 BN_free(a);
1498 BN_free(b);
1499 EC_GROUP_free(group);
1500 EC_POINT_free(P);
1501 EC_POINT_free(Q);
1502 EC_POINT_free(R);
1503 BN_free(x);
1504 BN_free(y);
1505 BN_free(z);
1506 BN_free(cof);
1507
1508 if (C2_K163)
1509 EC_GROUP_free(C2_K163);
1510 if (C2_B163)
1511 EC_GROUP_free(C2_B163);
1512 if (C2_K233)
1513 EC_GROUP_free(C2_K233);
1514 if (C2_B233)
1515 EC_GROUP_free(C2_B233);
1516 if (C2_K283)
1517 EC_GROUP_free(C2_K283);
1518 if (C2_B283)
1519 EC_GROUP_free(C2_B283);
1520 if (C2_K409)
1521 EC_GROUP_free(C2_K409);
1522 if (C2_B409)
1523 EC_GROUP_free(C2_B409);
1524 if (C2_K571)
1525 EC_GROUP_free(C2_K571);
1526 if (C2_B571)
1527 EC_GROUP_free(C2_B571);
1528
1529 }
1530 # endif
1531
1532 static void internal_curve_test(void)
1533 {
1534 EC_builtin_curve *curves = NULL;
1535 size_t crv_len = 0, n = 0;
1536 int ok = 1;
1537
1538 crv_len = EC_get_builtin_curves(NULL, 0);
1539
1540 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1541
1542 if (curves == NULL)
1543 return;
1544
1545 if (!EC_get_builtin_curves(curves, crv_len)) {
1546 OPENSSL_free(curves);
1547 return;
1548 }
1549
1550 fprintf(stdout, "testing internal curves: ");
1551
1552 for (n = 0; n < crv_len; n++) {
1553 EC_GROUP *group = NULL;
1554 int nid = curves[n].nid;
1555 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1556 ok = 0;
1557 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1558 " curve %s\n", OBJ_nid2sn(nid));
1559 /* try next curve */
1560 continue;
1561 }
1562 if (!EC_GROUP_check(group, NULL)) {
1563 ok = 0;
1564 fprintf(stdout, "\nEC_GROUP_check() failed with"
1565 " curve %s\n", OBJ_nid2sn(nid));
1566 EC_GROUP_free(group);
1567 /* try the next curve */
1568 continue;
1569 }
1570 fprintf(stdout, ".");
1571 fflush(stdout);
1572 EC_GROUP_free(group);
1573 }
1574 if (ok)
1575 fprintf(stdout, " ok\n\n");
1576 else {
1577 fprintf(stdout, " failed\n\n");
1578 ABORT;
1579 }
1580 OPENSSL_free(curves);
1581 return;
1582 }
1583
1584 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1585 /*
1586 * nistp_test_params contains magic numbers for testing our optimized
1587 * implementations of several NIST curves with characteristic > 3.
1588 */
1589 struct nistp_test_params {
1590 const EC_METHOD *(*meth) ();
1591 int degree;
1592 /*
1593 * Qx, Qy and D are taken from
1594 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1595 * Otherwise, values are standard curve parameters from FIPS 180-3
1596 */
1597 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1598 };
1599
1600 static const struct nistp_test_params nistp_tests_params[] = {
1601 {
1602 /* P-224 */
1603 EC_GFp_nistp224_method,
1604 224,
1605 /* p */
1606 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1607 /* a */
1608 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1609 /* b */
1610 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1611 /* Qx */
1612 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1613 /* Qy */
1614 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1615 /* Gx */
1616 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1617 /* Gy */
1618 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1619 /* order */
1620 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1621 /* d */
1622 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1623 },
1624 {
1625 /* P-256 */
1626 EC_GFp_nistp256_method,
1627 256,
1628 /* p */
1629 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1630 /* a */
1631 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1632 /* b */
1633 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1634 /* Qx */
1635 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1636 /* Qy */
1637 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1638 /* Gx */
1639 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1640 /* Gy */
1641 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1642 /* order */
1643 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1644 /* d */
1645 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1646 },
1647 {
1648 /* P-521 */
1649 EC_GFp_nistp521_method,
1650 521,
1651 /* p */
1652 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1653 /* a */
1654 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1655 /* b */
1656 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1657 /* Qx */
1658 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1659 /* Qy */
1660 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1661 /* Gx */
1662 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1663 /* Gy */
1664 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1665 /* order */
1666 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1667 /* d */
1668 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1669 },
1670 };
1671
1672 static void nistp_single_test(const struct nistp_test_params *test)
1673 {
1674 BN_CTX *ctx;
1675 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1676 EC_GROUP *NISTP;
1677 EC_POINT *G, *P, *Q, *Q_CHECK;
1678
1679 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
1680 test->degree);
1681 ctx = BN_CTX_new();
1682 p = BN_new();
1683 a = BN_new();
1684 b = BN_new();
1685 x = BN_new();
1686 y = BN_new();
1687 m = BN_new();
1688 n = BN_new();
1689 order = BN_new();
1690
1691 NISTP = EC_GROUP_new(test->meth());
1692 if (!NISTP)
1693 ABORT;
1694 if (!BN_hex2bn(&p, test->p))
1695 ABORT;
1696 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1697 ABORT;
1698 if (!BN_hex2bn(&a, test->a))
1699 ABORT;
1700 if (!BN_hex2bn(&b, test->b))
1701 ABORT;
1702 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1703 ABORT;
1704 G = EC_POINT_new(NISTP);
1705 P = EC_POINT_new(NISTP);
1706 Q = EC_POINT_new(NISTP);
1707 Q_CHECK = EC_POINT_new(NISTP);
1708 if (!BN_hex2bn(&x, test->Qx))
1709 ABORT;
1710 if (!BN_hex2bn(&y, test->Qy))
1711 ABORT;
1712 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1713 ABORT;
1714 if (!BN_hex2bn(&x, test->Gx))
1715 ABORT;
1716 if (!BN_hex2bn(&y, test->Gy))
1717 ABORT;
1718 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1719 ABORT;
1720 if (!BN_hex2bn(&order, test->order))
1721 ABORT;
1722 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1723 ABORT;
1724
1725 fprintf(stdout, "verify degree ... ");
1726 if (EC_GROUP_get_degree(NISTP) != test->degree)
1727 ABORT;
1728 fprintf(stdout, "ok\n");
1729
1730 fprintf(stdout, "NIST test vectors ... ");
1731 if (!BN_hex2bn(&n, test->d))
1732 ABORT;
1733 /* fixed point multiplication */
1734 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1735 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1736 ABORT;
1737 /* random point multiplication */
1738 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1739 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1740 ABORT;
1741
1742 /* set generator to P = 2*G, where G is the standard generator */
1743 if (!EC_POINT_dbl(NISTP, P, G, ctx))
1744 ABORT;
1745 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1746 ABORT;
1747 /* set the scalar to m=n/2, where n is the NIST test scalar */
1748 if (!BN_rshift(m, n, 1))
1749 ABORT;
1750
1751 /* test the non-standard generator */
1752 /* fixed point multiplication */
1753 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1754 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1755 ABORT;
1756 /* random point multiplication */
1757 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1758 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1759 ABORT;
1760
1761 /*
1762 * We have not performed precomputation so have_precompute mult should be
1763 * false
1764 */
1765 if (EC_GROUP_have_precompute_mult(NISTP))
1766 ABORT;
1767
1768 /* now repeat all tests with precomputation */
1769 if (!EC_GROUP_precompute_mult(NISTP, ctx))
1770 ABORT;
1771 if (!EC_GROUP_have_precompute_mult(NISTP))
1772 ABORT;
1773
1774 /* fixed point multiplication */
1775 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1776 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1777 ABORT;
1778 /* random point multiplication */
1779 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1780 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1781 ABORT;
1782
1783 /* reset generator */
1784 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1785 ABORT;
1786 /* fixed point multiplication */
1787 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1788 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1789 ABORT;
1790 /* random point multiplication */
1791 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1792 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1793 ABORT;
1794
1795 fprintf(stdout, "ok\n");
1796 group_order_tests(NISTP);
1797 # if 0
1798 timings(NISTP, TIMING_BASE_PT, ctx);
1799 timings(NISTP, TIMING_RAND_PT, ctx);
1800 # endif
1801 EC_GROUP_free(NISTP);
1802 EC_POINT_free(G);
1803 EC_POINT_free(P);
1804 EC_POINT_free(Q);
1805 EC_POINT_free(Q_CHECK);
1806 BN_free(n);
1807 BN_free(m);
1808 BN_free(p);
1809 BN_free(a);
1810 BN_free(b);
1811 BN_free(x);
1812 BN_free(y);
1813 BN_free(order);
1814 BN_CTX_free(ctx);
1815 }
1816
1817 static void nistp_tests()
1818 {
1819 unsigned i;
1820
1821 for (i = 0;
1822 i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params);
1823 i++) {
1824 nistp_single_test(&nistp_tests_params[i]);
1825 }
1826 }
1827 # endif
1828
1829 static const char rnd_seed[] =
1830 "string to make the random number generator think it has entropy";
1831
1832 int main(int argc, char *argv[])
1833 {
1834
1835 /* enable memory leak checking unless explicitly disabled */
1836 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL)
1837 && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) {
1838 CRYPTO_malloc_debug_init();
1839 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1840 } else {
1841 /* OPENSSL_DEBUG_MEMORY=off */
1842 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1843 }
1844 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1845 ERR_load_crypto_strings();
1846
1847 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1848
1849 prime_field_tests();
1850 puts("");
1851 # ifndef OPENSSL_NO_EC2M
1852 char2_field_tests();
1853 # endif
1854 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1855 nistp_tests();
1856 # endif
1857 /* test the internal curves */
1858 internal_curve_test();
1859
1860 # ifndef OPENSSL_NO_ENGINE
1861 ENGINE_cleanup();
1862 # endif
1863 CRYPTO_cleanup_all_ex_data();
1864 ERR_free_strings();
1865 ERR_remove_thread_state(NULL);
1866 CRYPTO_mem_leaks_fp(stderr);
1867
1868 return 0;
1869 }
1870 #endif
Tomato firmware and modifications.