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authorcvs2svn <admin@example.com>2019-11-19 19:57:05 +0000
committercvs2svn <admin@example.com>2019-11-19 19:57:05 +0000
commite9f9eb6198f1757b7c0dfef043fadf1fa8243022 (patch)
treeb5a648f6ccaf6c1cd9915ddb45503d1fccfeba0e /src/regress/lib/libcrypto/ec/ectest.c
parentab72e3a6f7e8d5c71bbba034410468781d5923b6 (diff)
downloadopenbsd-bluhm_20191119.tar.gz
openbsd-bluhm_20191119.tar.bz2
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This commit was manufactured by cvs2git to create tag 'bluhm_20191119'.bluhm_20191119
Diffstat (limited to 'src/regress/lib/libcrypto/ec/ectest.c')
-rw-r--r--src/regress/lib/libcrypto/ec/ectest.c1456
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diff --git a/src/regress/lib/libcrypto/ec/ectest.c b/src/regress/lib/libcrypto/ec/ectest.c
deleted file mode 100644
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--- a/src/regress/lib/libcrypto/ec/ectest.c
+++ /dev/null
@@ -1,1456 +0,0 @@
1/* $OpenBSD: ectest.c,v 1.8 2018/07/15 18:22:57 tb Exp $ */
2/* crypto/ec/ectest.c */
3/*
4 * Originally written by Bodo Moeller for the OpenSSL project.
5 */
6/* ====================================================================
7 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
8 *
9 * Redistribution and use in source and binary forms, with or without
10 * modification, are permitted provided that the following conditions
11 * are met:
12 *
13 * 1. Redistributions of source code must retain the above copyright
14 * notice, this list of conditions and the following disclaimer.
15 *
16 * 2. Redistributions in binary form must reproduce the above copyright
17 * notice, this list of conditions and the following disclaimer in
18 * the documentation and/or other materials provided with the
19 * distribution.
20 *
21 * 3. All advertising materials mentioning features or use of this
22 * software must display the following acknowledgment:
23 * "This product includes software developed by the OpenSSL Project
24 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
25 *
26 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
27 * endorse or promote products derived from this software without
28 * prior written permission. For written permission, please contact
29 * openssl-core@openssl.org.
30 *
31 * 5. Products derived from this software may not be called "OpenSSL"
32 * nor may "OpenSSL" appear in their names without prior written
33 * permission of the OpenSSL Project.
34 *
35 * 6. Redistributions of any form whatsoever must retain the following
36 * acknowledgment:
37 * "This product includes software developed by the OpenSSL Project
38 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
39 *
40 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
41 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
43 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
44 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
45 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
46 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
47 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
49 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
50 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
51 * OF THE POSSIBILITY OF SUCH DAMAGE.
52 * ====================================================================
53 *
54 * This product includes cryptographic software written by Eric Young
55 * (eay@cryptsoft.com). This product includes software written by Tim
56 * Hudson (tjh@cryptsoft.com).
57 *
58 */
59/* ====================================================================
60 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
61 *
62 * Portions of the attached software ("Contribution") are developed by
63 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
64 *
65 * The Contribution is licensed pursuant to the OpenSSL open source
66 * license provided above.
67 *
68 * The elliptic curve binary polynomial software is originally written by
69 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
70 *
71 */
72
73#include <stdio.h>
74#include <stdlib.h>
75#include <string.h>
76#include <time.h>
77
78#include <openssl/ec.h>
79#ifndef OPENSSL_NO_ENGINE
80#include <openssl/engine.h>
81#endif
82#include <openssl/err.h>
83#include <openssl/obj_mac.h>
84#include <openssl/objects.h>
85#include <openssl/bn.h>
86#include <openssl/opensslconf.h>
87
88#define ABORT do { \
89 fflush(stdout); \
90 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
91 ERR_print_errors_fp(stderr); \
92 exit(1); \
93} while (0)
94
95#define TIMING_BASE_PT 0
96#define TIMING_RAND_PT 1
97#define TIMING_SIMUL 2
98
99/* test multiplication with group order, long and negative scalars */
100static void
101group_order_tests(EC_GROUP *group)
102{
103 BIGNUM *n1, *n2, *order;
104 EC_POINT *P = EC_POINT_new(group);
105 EC_POINT *Q = EC_POINT_new(group);
106 BN_CTX *ctx = BN_CTX_new();
107
108 n1 = BN_new();
109 n2 = BN_new();
110 order = BN_new();
111 fprintf(stdout, "verify group order ...");
112 fflush(stdout);
113 if (!EC_GROUP_get_order(group, order, ctx))
114 ABORT;
115 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
116 ABORT;
117 if (!EC_POINT_is_at_infinity(group, Q))
118 ABORT;
119 fprintf(stdout, ".");
120 fflush(stdout);
121 if (!EC_GROUP_precompute_mult(group, ctx))
122 ABORT;
123 if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
124 ABORT;
125 if (!EC_POINT_is_at_infinity(group, Q))
126 ABORT;
127 fprintf(stdout, " ok\n");
128 fprintf(stdout, "long/negative scalar tests ... ");
129 if (!BN_one(n1))
130 ABORT;
131 /* n1 = 1 - order */
132 if (!BN_sub(n1, n1, order))
133 ABORT;
134 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
135 ABORT;
136 if (0 != EC_POINT_cmp(group, Q, P, ctx))
137 ABORT;
138 /* n2 = 1 + order */
139 if (!BN_add(n2, order, BN_value_one()))
140 ABORT;
141 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
142 ABORT;
143 if (0 != EC_POINT_cmp(group, Q, P, ctx))
144 ABORT;
145 /* n2 = (1 - order) * (1 + order) */
146 if (!BN_mul(n2, n1, n2, ctx))
147 ABORT;
148 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
149 ABORT;
150 if (0 != EC_POINT_cmp(group, Q, P, ctx))
151 ABORT;
152 fprintf(stdout, "ok\n");
153 EC_POINT_free(P);
154 EC_POINT_free(Q);
155 BN_free(n1);
156 BN_free(n2);
157 BN_free(order);
158 BN_CTX_free(ctx);
159}
160
161static void
162prime_field_tests(void)
163{
164 BN_CTX *ctx = NULL;
165 BIGNUM *p, *a, *b;
166 EC_GROUP *group;
167 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
168 EC_POINT *P, *Q, *R;
169 BIGNUM *x, *y, *z;
170 unsigned char buf[100];
171 size_t i, len;
172 int k;
173
174#if 1 /* optional */
175 ctx = BN_CTX_new();
176 if (!ctx)
177 ABORT;
178#endif
179
180 p = BN_new();
181 a = BN_new();
182 b = BN_new();
183 if (!p || !a || !b)
184 ABORT;
185
186 if (!BN_hex2bn(&p, "17"))
187 ABORT;
188 if (!BN_hex2bn(&a, "1"))
189 ABORT;
190 if (!BN_hex2bn(&b, "1"))
191 ABORT;
192
193 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
194 * so that the library gets to choose the EC_METHOD */
195 if (!group)
196 ABORT;
197
198 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
199 ABORT;
200
201 {
202 EC_GROUP *tmp;
203 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
204 if (!tmp)
205 ABORT;
206 if (!EC_GROUP_copy(tmp, group))
207 ABORT;
208 EC_GROUP_free(group);
209 group = tmp;
210 }
211
212 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
213 ABORT;
214
215 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
216 BN_print_fp(stdout, p);
217 fprintf(stdout, ")\n a = 0x");
218 BN_print_fp(stdout, a);
219 fprintf(stdout, "\n b = 0x");
220 BN_print_fp(stdout, b);
221 fprintf(stdout, "\n");
222
223 P = EC_POINT_new(group);
224 Q = EC_POINT_new(group);
225 R = EC_POINT_new(group);
226 if (!P || !Q || !R)
227 ABORT;
228
229 if (!EC_POINT_set_to_infinity(group, P))
230 ABORT;
231 if (!EC_POINT_is_at_infinity(group, P))
232 ABORT;
233
234 buf[0] = 0;
235 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
236 ABORT;
237
238 if (!EC_POINT_add(group, P, P, Q, ctx))
239 ABORT;
240 if (!EC_POINT_is_at_infinity(group, P))
241 ABORT;
242
243 x = BN_new();
244 y = BN_new();
245 z = BN_new();
246 if (!x || !y || !z)
247 ABORT;
248
249 if (!BN_hex2bn(&x, "D"))
250 ABORT;
251 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
252 ABORT;
253 if (!EC_POINT_is_on_curve(group, Q, ctx)) {
254 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
255 ABORT;
256 fprintf(stderr, "Point is not on curve: x = 0x");
257 BN_print_fp(stderr, x);
258 fprintf(stderr, ", y = 0x");
259 BN_print_fp(stderr, y);
260 fprintf(stderr, "\n");
261 ABORT;
262 }
263
264 fprintf(stdout, "A cyclic subgroup:\n");
265 k = 100;
266 do
267 {
268 if (k-- == 0)
269 ABORT;
270
271 if (EC_POINT_is_at_infinity(group, P))
272 fprintf(stdout, " point at infinity\n");
273 else {
274 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
275 ABORT;
276
277 fprintf(stdout, " x = 0x");
278 BN_print_fp(stdout, x);
279 fprintf(stdout, ", y = 0x");
280 BN_print_fp(stdout, y);
281 fprintf(stdout, "\n");
282 }
283
284 if (!EC_POINT_copy(R, P))
285 ABORT;
286 if (!EC_POINT_add(group, P, P, Q, ctx))
287 ABORT;
288
289#if 0 /* optional */
290 {
291 EC_POINT *points[3];
292
293 points[0] = R;
294 points[1] = Q;
295 points[2] = P;
296 if (!EC_POINTs_make_affine(group, 2, points, ctx))
297 ABORT;
298 }
299#endif
300
301 }
302 while (!EC_POINT_is_at_infinity(group, P));
303
304 if (!EC_POINT_add(group, P, Q, R, ctx))
305 ABORT;
306 if (!EC_POINT_is_at_infinity(group, P))
307 ABORT;
308
309 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
310 if (len == 0)
311 ABORT;
312 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
313 ABORT;
314 if (0 != EC_POINT_cmp(group, P, Q, ctx))
315 ABORT;
316 fprintf(stdout, "Generator as octet string, compressed form:\n ");
317 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
318
319 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
320 if (len == 0)
321 ABORT;
322 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
323 ABORT;
324 if (0 != EC_POINT_cmp(group, P, Q, ctx))
325 ABORT;
326 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
327 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
328
329 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
330 if (len == 0)
331 ABORT;
332 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
333 ABORT;
334 if (0 != EC_POINT_cmp(group, P, Q, ctx))
335 ABORT;
336 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
337 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
338
339 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
340 ABORT;
341 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
342 BN_print_fp(stdout, x);
343 fprintf(stdout, ", Y = 0x");
344 BN_print_fp(stdout, y);
345 fprintf(stdout, ", Z = 0x");
346 BN_print_fp(stdout, z);
347 fprintf(stdout, "\n");
348
349 if (!EC_POINT_invert(group, P, ctx))
350 ABORT;
351 if (0 != EC_POINT_cmp(group, P, R, ctx))
352 ABORT;
353
354
355 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
356 * -- not a NIST curve, but commonly used */
357
358 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
359 ABORT;
360 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
361 ABORT;
362 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
363 ABORT;
364 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
365 ABORT;
366 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
367 ABORT;
368
369 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
370 ABORT;
371 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
372 ABORT;
373 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
374 ABORT;
375 if (!EC_POINT_is_on_curve(group, P, ctx))
376 ABORT;
377 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
378 ABORT;
379 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
380 ABORT;
381
382 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
383 ABORT;
384 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
385 BN_print_fp(stdout, x);
386 fprintf(stdout, "\n y = 0x");
387 BN_print_fp(stdout, y);
388 fprintf(stdout, "\n");
389 /* G_y value taken from the standard: */
390 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
391 ABORT;
392 if (0 != BN_cmp(y, z))
393 ABORT;
394
395 fprintf(stdout, "verify degree ...");
396 if (EC_GROUP_get_degree(group) != 160)
397 ABORT;
398 fprintf(stdout, " ok\n");
399
400 group_order_tests(group);
401
402 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group))))
403 ABORT;
404 if (!EC_GROUP_copy(P_160, group))
405 ABORT;
406
407
408 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
409
410 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
411 ABORT;
412 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
413 ABORT;
414 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
415 ABORT;
416 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
417 ABORT;
418 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
419 ABORT;
420
421 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
422 ABORT;
423 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
424 ABORT;
425 if (!EC_POINT_is_on_curve(group, P, ctx))
426 ABORT;
427 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
428 ABORT;
429 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
430 ABORT;
431
432 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
433 ABORT;
434 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
435 BN_print_fp(stdout, x);
436 fprintf(stdout, "\n y = 0x");
437 BN_print_fp(stdout, y);
438 fprintf(stdout, "\n");
439 /* G_y value taken from the standard: */
440 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
441 ABORT;
442 if (0 != BN_cmp(y, z))
443 ABORT;
444
445 fprintf(stdout, "verify degree ...");
446 if (EC_GROUP_get_degree(group) != 192)
447 ABORT;
448 fprintf(stdout, " ok\n");
449
450 group_order_tests(group);
451
452 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group))))
453 ABORT;
454 if (!EC_GROUP_copy(P_192, group))
455 ABORT;
456
457
458 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
459
460 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
461 ABORT;
462 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
463 ABORT;
464 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
465 ABORT;
466 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
467 ABORT;
468 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
469 ABORT;
470
471 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
472 ABORT;
473 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
474 ABORT;
475 if (!EC_POINT_is_on_curve(group, P, ctx))
476 ABORT;
477 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
478 ABORT;
479 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
480 ABORT;
481
482 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
483 ABORT;
484 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
485 BN_print_fp(stdout, x);
486 fprintf(stdout, "\n y = 0x");
487 BN_print_fp(stdout, y);
488 fprintf(stdout, "\n");
489 /* G_y value taken from the standard: */
490 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
491 ABORT;
492 if (0 != BN_cmp(y, z))
493 ABORT;
494
495 fprintf(stdout, "verify degree ...");
496 if (EC_GROUP_get_degree(group) != 224)
497 ABORT;
498 fprintf(stdout, " ok\n");
499
500 group_order_tests(group);
501
502 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))))
503 ABORT;
504 if (!EC_GROUP_copy(P_224, group))
505 ABORT;
506
507
508 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
509
510 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
511 ABORT;
512 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
513 ABORT;
514 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
515 ABORT;
516 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
517 ABORT;
518 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
519 ABORT;
520
521 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
522 ABORT;
523 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
524 ABORT;
525 if (!EC_POINT_is_on_curve(group, P, ctx))
526 ABORT;
527 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
528 "84F3B9CAC2FC632551")) ABORT;
529 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
530 ABORT;
531
532 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
533 ABORT;
534 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
535 BN_print_fp(stdout, x);
536 fprintf(stdout, "\n y = 0x");
537 BN_print_fp(stdout, y);
538 fprintf(stdout, "\n");
539 /* G_y value taken from the standard: */
540 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
541 ABORT;
542 if (0 != BN_cmp(y, z))
543 ABORT;
544
545 fprintf(stdout, "verify degree ...");
546 if (EC_GROUP_get_degree(group) != 256)
547 ABORT;
548 fprintf(stdout, " ok\n");
549
550 group_order_tests(group);
551
552 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))))
553 ABORT;
554 if (!EC_GROUP_copy(P_256, group))
555 ABORT;
556
557
558 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
559
560 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
561 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
562 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
563 ABORT;
564 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
565 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
566 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
567 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
568 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
569 ABORT;
570
571 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
572 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
573 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
574 ABORT;
575 if (!EC_POINT_is_on_curve(group, P, ctx))
576 ABORT;
577 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
578 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
579 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
580 ABORT;
581
582 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
583 ABORT;
584 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
585 BN_print_fp(stdout, x);
586 fprintf(stdout, "\n y = 0x");
587 BN_print_fp(stdout, y);
588 fprintf(stdout, "\n");
589 /* G_y value taken from the standard: */
590 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
591 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
592 if (0 != BN_cmp(y, z))
593 ABORT;
594
595 fprintf(stdout, "verify degree ...");
596 if (EC_GROUP_get_degree(group) != 384)
597 ABORT;
598 fprintf(stdout, " ok\n");
599
600 group_order_tests(group);
601
602 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))))
603 ABORT;
604 if (!EC_GROUP_copy(P_384, group))
605 ABORT;
606
607
608 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
609
610 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
611 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
612 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
613 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
614 ABORT;
615 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
616 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
617 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
618 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
619 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
620 "DF883D2C34F1EF451FD46B503F00")) ABORT;
621 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
622 ABORT;
623
624 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
625 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
626 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
627 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
628 ABORT;
629 if (!EC_POINT_is_on_curve(group, P, ctx))
630 ABORT;
631 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
632 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
633 "C9B8899C47AEBB6FB71E91386409")) ABORT;
634 if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
635 ABORT;
636
637 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
638 ABORT;
639 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
640 BN_print_fp(stdout, x);
641 fprintf(stdout, "\n y = 0x");
642 BN_print_fp(stdout, y);
643 fprintf(stdout, "\n");
644 /* G_y value taken from the standard: */
645 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
646 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
647 "7086A272C24088BE94769FD16650")) ABORT;
648 if (0 != BN_cmp(y, z))
649 ABORT;
650
651 fprintf(stdout, "verify degree ...");
652 if (EC_GROUP_get_degree(group) != 521)
653 ABORT;
654 fprintf(stdout, " ok\n");
655
656 group_order_tests(group);
657
658 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))))
659 ABORT;
660 if (!EC_GROUP_copy(P_521, group))
661 ABORT;
662
663
664 /* more tests using the last curve */
665 fprintf(stdout, "infinity tests ...");
666 fflush(stdout);
667 if (!EC_POINT_copy(Q, P))
668 ABORT;
669 if (EC_POINT_is_at_infinity(group, Q))
670 ABORT;
671 /* P := 2P */
672 if (!EC_POINT_dbl(group, P, P, ctx))
673 ABORT;
674 if (!EC_POINT_is_on_curve(group, P, ctx))
675 ABORT;
676 /* Q := -P */
677 if (!EC_POINT_invert(group, Q, ctx))
678 ABORT;
679 /* R := 2P - P = P */
680 if (!EC_POINT_add(group, R, P, Q, ctx))
681 ABORT;
682 /* R := R + Q = P - P = infty */
683 if (!EC_POINT_add(group, R, R, Q, ctx))
684 ABORT;
685 if (!EC_POINT_is_at_infinity(group, R))
686 ABORT;
687 fprintf(stdout, " ok\n\n");
688
689 if (ctx)
690 BN_CTX_free(ctx);
691 BN_free(p);
692 BN_free(a);
693 BN_free(b);
694 EC_GROUP_free(group);
695 EC_POINT_free(P);
696 EC_POINT_free(Q);
697 EC_POINT_free(R);
698 BN_free(x);
699 BN_free(y);
700 BN_free(z);
701
702 if (P_160)
703 EC_GROUP_free(P_160);
704 if (P_192)
705 EC_GROUP_free(P_192);
706 if (P_224)
707 EC_GROUP_free(P_224);
708 if (P_256)
709 EC_GROUP_free(P_256);
710 if (P_384)
711 EC_GROUP_free(P_384);
712 if (P_521)
713 EC_GROUP_free(P_521);
714
715}
716
717/* Change test based on whether binary point compression is enabled or not. */
718#ifdef OPENSSL_EC_BIN_PT_COMP
719#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
720 if (!BN_hex2bn(&x, _x)) ABORT; \
721 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
722 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
723 if (!BN_hex2bn(&z, _order)) ABORT; \
724 if (!BN_hex2bn(&cof, _cof)) ABORT; \
725 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
726 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
727 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
728 BN_print_fp(stdout, x); \
729 fprintf(stdout, "\n y = 0x"); \
730 BN_print_fp(stdout, y); \
731 fprintf(stdout, "\n"); \
732 /* G_y value taken from the standard: */ \
733 if (!BN_hex2bn(&z, _y)) ABORT; \
734 if (0 != BN_cmp(y, z)) ABORT;
735#else
736#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
737 if (!BN_hex2bn(&x, _x)) ABORT; \
738 if (!BN_hex2bn(&y, _y)) ABORT; \
739 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
740 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
741 if (!BN_hex2bn(&z, _order)) ABORT; \
742 if (!BN_hex2bn(&cof, _cof)) ABORT; \
743 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
744 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
745 BN_print_fp(stdout, x); \
746 fprintf(stdout, "\n y = 0x"); \
747 BN_print_fp(stdout, y); \
748 fprintf(stdout, "\n");
749#endif
750
751#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
752 if (!BN_hex2bn(&p, _p)) ABORT; \
753 if (!BN_hex2bn(&a, _a)) ABORT; \
754 if (!BN_hex2bn(&b, _b)) ABORT; \
755 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
756 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
757 fprintf(stdout, "verify degree ..."); \
758 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
759 fprintf(stdout, " ok\n"); \
760 group_order_tests(group); \
761 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
762 if (!EC_GROUP_copy(_variable, group)) ABORT; \
763
764#ifndef OPENSSL_NO_EC2M
765
766 static void char2_field_tests(void)
767{
768 BN_CTX *ctx = NULL;
769 BIGNUM *p, *a, *b;
770 EC_GROUP *group;
771 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
772 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
773 EC_POINT *P, *Q, *R;
774 BIGNUM *x, *y, *z, *cof;
775 unsigned char buf[100];
776 size_t i, len;
777 int k;
778
779#if 1 /* optional */
780 ctx = BN_CTX_new();
781 if (!ctx)
782 ABORT;
783#endif
784
785 p = BN_new();
786 a = BN_new();
787 b = BN_new();
788 if (!p || !a || !b)
789 ABORT;
790
791 if (!BN_hex2bn(&p, "13"))
792 ABORT;
793 if (!BN_hex2bn(&a, "3"))
794 ABORT;
795 if (!BN_hex2bn(&b, "1"))
796 ABORT;
797
798 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
799 * so that the library gets to choose the EC_METHOD */
800 if (!group)
801 ABORT;
802 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
803 ABORT;
804
805 {
806 EC_GROUP *tmp;
807 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
808 if (!tmp)
809 ABORT;
810 if (!EC_GROUP_copy(tmp, group))
811 ABORT;
812 EC_GROUP_free(group);
813 group = tmp;
814 }
815
816 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
817 ABORT;
818
819 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
820 BN_print_fp(stdout, p);
821 fprintf(stdout, ")\n a = 0x");
822 BN_print_fp(stdout, a);
823 fprintf(stdout, "\n b = 0x");
824 BN_print_fp(stdout, b);
825 fprintf(stdout, "\n(0x... means binary polynomial)\n");
826
827 P = EC_POINT_new(group);
828 Q = EC_POINT_new(group);
829 R = EC_POINT_new(group);
830 if (!P || !Q || !R)
831 ABORT;
832
833 if (!EC_POINT_set_to_infinity(group, P))
834 ABORT;
835 if (!EC_POINT_is_at_infinity(group, P))
836 ABORT;
837
838 buf[0] = 0;
839 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
840 ABORT;
841
842 if (!EC_POINT_add(group, P, P, Q, ctx))
843 ABORT;
844 if (!EC_POINT_is_at_infinity(group, P))
845 ABORT;
846
847 x = BN_new();
848 y = BN_new();
849 z = BN_new();
850 cof = BN_new();
851 if (!x || !y || !z || !cof)
852 ABORT;
853
854 if (!BN_hex2bn(&x, "6"))
855 ABORT;
856/* Change test based on whether binary point compression is enabled or not. */
857#ifdef OPENSSL_EC_BIN_PT_COMP
858 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
859 ABORT;
860#else
861 if (!BN_hex2bn(&y, "8"))
862 ABORT;
863 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
864 ABORT;
865#endif
866 if (!EC_POINT_is_on_curve(group, Q, ctx)) {
867/* Change test based on whether binary point compression is enabled or not. */
868#ifdef OPENSSL_EC_BIN_PT_COMP
869 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
870 ABORT;
871#endif
872 fprintf(stderr, "Point is not on curve: x = 0x");
873 BN_print_fp(stderr, x);
874 fprintf(stderr, ", y = 0x");
875 BN_print_fp(stderr, y);
876 fprintf(stderr, "\n");
877 ABORT;
878 }
879
880 fprintf(stdout, "A cyclic subgroup:\n");
881 k = 100;
882 do
883 {
884 if (k-- == 0)
885 ABORT;
886
887 if (EC_POINT_is_at_infinity(group, P))
888 fprintf(stdout, " point at infinity\n");
889 else {
890 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))
891 ABORT;
892
893 fprintf(stdout, " x = 0x");
894 BN_print_fp(stdout, x);
895 fprintf(stdout, ", y = 0x");
896 BN_print_fp(stdout, y);
897 fprintf(stdout, "\n");
898 }
899
900 if (!EC_POINT_copy(R, P))
901 ABORT;
902 if (!EC_POINT_add(group, P, P, Q, ctx))
903 ABORT;
904 }
905 while (!EC_POINT_is_at_infinity(group, P));
906
907 if (!EC_POINT_add(group, P, Q, R, ctx))
908 ABORT;
909 if (!EC_POINT_is_at_infinity(group, P))
910 ABORT;
911
912/* Change test based on whether binary point compression is enabled or not. */
913#ifdef OPENSSL_EC_BIN_PT_COMP
914 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
915 if (len == 0)
916 ABORT;
917 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
918 ABORT;
919 if (0 != EC_POINT_cmp(group, P, Q, ctx))
920 ABORT;
921 fprintf(stdout, "Generator as octet string, compressed form:\n ");
922 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
923#endif
924
925 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
926 if (len == 0)
927 ABORT;
928 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
929 ABORT;
930 if (0 != EC_POINT_cmp(group, P, Q, ctx))
931 ABORT;
932 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
933 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
934
935/* Change test based on whether binary point compression is enabled or not. */
936#ifdef OPENSSL_EC_BIN_PT_COMP
937 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
938 if (len == 0)
939 ABORT;
940 if (!EC_POINT_oct2point(group, P, buf, len, ctx))
941 ABORT;
942 if (0 != EC_POINT_cmp(group, P, Q, ctx))
943 ABORT;
944 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
945 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
946#endif
947
948 fprintf(stdout, "\n");
949
950 if (!EC_POINT_invert(group, P, ctx))
951 ABORT;
952 if (0 != EC_POINT_cmp(group, P, R, ctx))
953 ABORT;
954
955
956 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
957 CHAR2_CURVE_TEST
958 (
959 "NIST curve K-163",
960 "0800000000000000000000000000000000000000C9",
961 "1",
962 "1",
963 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
964 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
965 1,
966 "04000000000000000000020108A2E0CC0D99F8A5EF",
967 "2",
968 163,
969 C2_K163
970 );
971
972 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
973 CHAR2_CURVE_TEST
974 (
975 "NIST curve B-163",
976 "0800000000000000000000000000000000000000C9",
977 "1",
978 "020A601907B8C953CA1481EB10512F78744A3205FD",
979 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
980 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
981 1,
982 "040000000000000000000292FE77E70C12A4234C33",
983 "2",
984 163,
985 C2_B163
986 );
987
988 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
989 CHAR2_CURVE_TEST
990 (
991 "NIST curve K-233",
992 "020000000000000000000000000000000000000004000000000000000001",
993 "0",
994 "1",
995 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
996 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
997 0,
998 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
999 "4",
1000 233,
1001 C2_K233
1002 );
1003
1004 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1005 CHAR2_CURVE_TEST
1006 (
1007 "NIST curve B-233",
1008 "020000000000000000000000000000000000000004000000000000000001",
1009 "000000000000000000000000000000000000000000000000000000000001",
1010 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1011 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1012 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1013 1,
1014 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1015 "2",
1016 233,
1017 C2_B233
1018 );
1019
1020 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1021 CHAR2_CURVE_TEST
1022 (
1023 "NIST curve K-283",
1024 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1025 "0",
1026 "1",
1027 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1028 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1029 0,
1030 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1031 "4",
1032 283,
1033 C2_K283
1034 );
1035
1036 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1037 CHAR2_CURVE_TEST
1038 (
1039 "NIST curve B-283",
1040 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1041 "000000000000000000000000000000000000000000000000000000000000000000000001",
1042 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1043 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1044 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1045 1,
1046 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1047 "2",
1048 283,
1049 C2_B283
1050 );
1051
1052 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1053 CHAR2_CURVE_TEST
1054 (
1055 "NIST curve K-409",
1056 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1057 "0",
1058 "1",
1059 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1060 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1061 1,
1062 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1063 "4",
1064 409,
1065 C2_K409
1066 );
1067
1068 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1069 CHAR2_CURVE_TEST
1070 (
1071 "NIST curve B-409",
1072 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1073 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1074 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1075 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1076 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1077 1,
1078 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1079 "2",
1080 409,
1081 C2_B409
1082 );
1083
1084 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1085 CHAR2_CURVE_TEST
1086 (
1087 "NIST curve K-571",
1088 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1089 "0",
1090 "1",
1091 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1092 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1093 0,
1094 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1095 "4",
1096 571,
1097 C2_K571
1098 );
1099
1100 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1101 CHAR2_CURVE_TEST
1102 (
1103 "NIST curve B-571",
1104 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1105 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1106 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1107 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1108 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1109 1,
1110 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1111 "2",
1112 571,
1113 C2_B571
1114 );
1115
1116 /* more tests using the last curve */
1117 fprintf(stdout, "infinity tests ...");
1118 fflush(stdout);
1119 if (!EC_POINT_copy(Q, P))
1120 ABORT;
1121 if (EC_POINT_is_at_infinity(group, Q))
1122 ABORT;
1123 /* P := 2P */
1124 if (!EC_POINT_dbl(group, P, P, ctx))
1125 ABORT;
1126 if (!EC_POINT_is_on_curve(group, P, ctx))
1127 ABORT;
1128 /* Q := -P */
1129 if (!EC_POINT_invert(group, Q, ctx))
1130 ABORT;
1131 /* R := 2P - P = P */
1132 if (!EC_POINT_add(group, R, P, Q, ctx))
1133 ABORT;
1134 /* R := R + Q = P - P = infty */
1135 if (!EC_POINT_add(group, R, R, Q, ctx))
1136 ABORT;
1137 if (!EC_POINT_is_at_infinity(group, R))
1138 ABORT;
1139 fprintf(stdout, " ok\n\n");
1140
1141 if (ctx)
1142 BN_CTX_free(ctx);
1143 BN_free(p);
1144 BN_free(a);
1145 BN_free(b);
1146 EC_GROUP_free(group);
1147 EC_POINT_free(P);
1148 EC_POINT_free(Q);
1149 EC_POINT_free(R);
1150 BN_free(x);
1151 BN_free(y);
1152 BN_free(z);
1153 BN_free(cof);
1154
1155 if (C2_K163)
1156 EC_GROUP_free(C2_K163);
1157 if (C2_B163)
1158 EC_GROUP_free(C2_B163);
1159 if (C2_K233)
1160 EC_GROUP_free(C2_K233);
1161 if (C2_B233)
1162 EC_GROUP_free(C2_B233);
1163 if (C2_K283)
1164 EC_GROUP_free(C2_K283);
1165 if (C2_B283)
1166 EC_GROUP_free(C2_B283);
1167 if (C2_K409)
1168 EC_GROUP_free(C2_K409);
1169 if (C2_B409)
1170 EC_GROUP_free(C2_B409);
1171 if (C2_K571)
1172 EC_GROUP_free(C2_K571);
1173 if (C2_B571)
1174 EC_GROUP_free(C2_B571);
1175
1176}
1177#endif
1178
1179static void
1180internal_curve_test(void)
1181{
1182 EC_builtin_curve *curves = NULL;
1183 size_t crv_len = 0, n = 0;
1184 int ok = 1;
1185
1186 crv_len = EC_get_builtin_curves(NULL, 0);
1187
1188 curves = reallocarray(NULL, sizeof(EC_builtin_curve), crv_len);
1189
1190 if (curves == NULL)
1191 return;
1192
1193 if (!EC_get_builtin_curves(curves, crv_len)) {
1194 free(curves);
1195 return;
1196 }
1197
1198 fprintf(stdout, "testing internal curves: ");
1199
1200 for (n = 0; n < crv_len; n++) {
1201 EC_GROUP *group = NULL;
1202 int nid = curves[n].nid;
1203 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
1204 ok = 0;
1205 fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1206 " curve %s\n", OBJ_nid2sn(nid));
1207 /* try next curve */
1208 continue;
1209 }
1210 if (!EC_GROUP_check(group, NULL)) {
1211 ok = 0;
1212 fprintf(stdout, "\nEC_GROUP_check() failed with"
1213 " curve %s\n", OBJ_nid2sn(nid));
1214 EC_GROUP_free(group);
1215 /* try the next curve */
1216 continue;
1217 }
1218 fprintf(stdout, ".");
1219 fflush(stdout);
1220 EC_GROUP_free(group);
1221 }
1222 if (ok)
1223 fprintf(stdout, " ok\n\n");
1224 else {
1225 fprintf(stdout, " failed\n\n");
1226 ABORT;
1227 }
1228 free(curves);
1229 return;
1230}
1231
1232#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1233/* nistp_test_params contains magic numbers for testing our optimized
1234 * implementations of several NIST curves with characteristic > 3. */
1235struct nistp_test_params {
1236 const EC_METHOD* (*meth) ();
1237 int degree;
1238 /* Qx, Qy and D are taken from
1239 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1240 * Otherwise, values are standard curve parameters from FIPS 180-3 */
1241 const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1242};
1243
1244static const struct nistp_test_params nistp_tests_params[] = { {
1245 /* P-224 */
1246 EC_GFp_nistp224_method,
1247 224,
1248 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
1249 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
1250 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
1251 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
1252 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
1253 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
1254 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
1255 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
1256 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
1257 },
1258 {
1259 /* P-256 */
1260 EC_GFp_nistp256_method,
1261 256,
1262 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
1263 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
1264 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
1265 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
1266 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
1267 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
1268 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
1269 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
1270 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
1271 },
1272 {
1273 /* P-521 */
1274 EC_GFp_nistp521_method,
1275 521,
1276 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
1277 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
1278 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
1279 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
1280 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
1281 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
1282 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
1283 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
1284 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
1285 },
1286};
1287
1288void
1289nistp_single_test(const struct nistp_test_params *test)
1290{
1291 BN_CTX *ctx;
1292 BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1293 EC_GROUP *NISTP;
1294 EC_POINT *G, *P, *Q, *Q_CHECK;
1295
1296 fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1297 ctx = BN_CTX_new();
1298 p = BN_new();
1299 a = BN_new();
1300 b = BN_new();
1301 x = BN_new();
1302 y = BN_new();
1303 m = BN_new();
1304 n = BN_new();
1305 order = BN_new();
1306
1307 NISTP = EC_GROUP_new(test->meth());
1308 if (!NISTP)
1309 ABORT;
1310 if (!BN_hex2bn(&p, test->p))
1311 ABORT;
1312 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
1313 ABORT;
1314 if (!BN_hex2bn(&a, test->a))
1315 ABORT;
1316 if (!BN_hex2bn(&b, test->b))
1317 ABORT;
1318 if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
1319 ABORT;
1320 G = EC_POINT_new(NISTP);
1321 P = EC_POINT_new(NISTP);
1322 Q = EC_POINT_new(NISTP);
1323 Q_CHECK = EC_POINT_new(NISTP);
1324 if (!BN_hex2bn(&x, test->Qx))
1325 ABORT;
1326 if (!BN_hex2bn(&y, test->Qy))
1327 ABORT;
1328 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
1329 ABORT;
1330 if (!BN_hex2bn(&x, test->Gx))
1331 ABORT;
1332 if (!BN_hex2bn(&y, test->Gy))
1333 ABORT;
1334 if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
1335 ABORT;
1336 if (!BN_hex2bn(&order, test->order))
1337 ABORT;
1338 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1339 ABORT;
1340
1341 fprintf(stdout, "verify degree ... ");
1342 if (EC_GROUP_get_degree(NISTP) != test->degree)
1343 ABORT;
1344 fprintf(stdout, "ok\n");
1345
1346 fprintf(stdout, "NIST test vectors ... ");
1347 if (!BN_hex2bn(&n, test->d))
1348 ABORT;
1349 /* fixed point multiplication */
1350 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1351 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1352 ABORT;
1353 /* random point multiplication */
1354 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1355 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1356 ABORT;
1357
1358 /* set generator to P = 2*G, where G is the standard generator */
1359 if (!EC_POINT_dbl(NISTP, P, G, ctx))
1360 ABORT;
1361 if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
1362 ABORT;
1363 /* set the scalar to m=n/2, where n is the NIST test scalar */
1364 if (!BN_rshift(m, n, 1))
1365 ABORT;
1366
1367 /* test the non-standard generator */
1368 /* fixed point multiplication */
1369 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1370 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1371 ABORT;
1372 /* random point multiplication */
1373 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1374 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1375 ABORT;
1376
1377 /* now repeat all tests with precomputation */
1378 if (!EC_GROUP_precompute_mult(NISTP, ctx))
1379 ABORT;
1380
1381 /* fixed point multiplication */
1382 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1383 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1384 ABORT;
1385 /* random point multiplication */
1386 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1387 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1388 ABORT;
1389
1390 /* reset generator */
1391 if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
1392 ABORT;
1393 /* fixed point multiplication */
1394 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1395 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1396 ABORT;
1397 /* random point multiplication */
1398 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1399 if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1400 ABORT;
1401
1402 fprintf(stdout, "ok\n");
1403 group_order_tests(NISTP);
1404 EC_GROUP_free(NISTP);
1405 EC_POINT_free(G);
1406 EC_POINT_free(P);
1407 EC_POINT_free(Q);
1408 EC_POINT_free(Q_CHECK);
1409 BN_free(n);
1410 BN_free(m);
1411 BN_free(p);
1412 BN_free(a);
1413 BN_free(b);
1414 BN_free(x);
1415 BN_free(y);
1416 BN_free(order);
1417 BN_CTX_free(ctx);
1418}
1419
1420void
1421nistp_tests()
1422{
1423 unsigned i;
1424
1425 for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++) {
1426 nistp_single_test(&nistp_tests_params[i]);
1427 }
1428}
1429#endif
1430
1431int
1432main(int argc, char *argv[])
1433{
1434 ERR_load_crypto_strings();
1435
1436 prime_field_tests();
1437 puts("");
1438#ifndef OPENSSL_NO_EC2M
1439 char2_field_tests();
1440#endif
1441#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1442 nistp_tests();
1443#endif
1444 /* test the internal curves */
1445 internal_curve_test();
1446
1447#ifndef OPENSSL_NO_ENGINE
1448 ENGINE_cleanup();
1449#endif
1450 CRYPTO_cleanup_all_ex_data();
1451 ERR_free_strings();
1452 ERR_remove_thread_state(NULL);
1453 CRYPTO_mem_leaks_fp(stderr);
1454
1455 return 0;
1456}
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