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Rename implementations of method functions so that they match
[thirdparty/openssl.git] / crypto / ec / ectest.c
CommitLineData
62763f68 1/* crypto/ec/ectest.c */
35b73a1f
BM		 2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
62763f68
BM		 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 */
7793f30e
BM		 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 * In addition, Sun covenants to all licensees who provide a reciprocal
68 * covenant with respect to their own patents if any, not to sue under
69 * current and future patent claims necessarily infringed by the making,
70 * using, practicing, selling, offering for sale and/or otherwise
71 * disposing of the Contribution as delivered hereunder
72 * (or portions thereof), provided that such covenant shall not apply:
73 * 1) for code that a licensee deletes from the Contribution;
74 * 2) separates from the Contribution; or
75 * 3) for infringements caused by:
76 * i) the modification of the Contribution or
77 * ii) the combination of the Contribution with other software or
78 * devices where such combination causes the infringement.
79 *
80 * The elliptic curve binary polynomial software is originally written by
81 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
82 *
83 */
62763f68 84
adfe54b7
BM		 85#include <stdio.h>
86#include <stdlib.h>
413a4a04 87#include <string.h>
48fe4d62 88#include <time.h>
adfe54b7 89
bb62a8b0
BM		 90
91#ifdef OPENSSL_NO_EC
92int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
93#else
94
95
62763f68 96#include <openssl/ec.h>
b8e2f83a 97#include <openssl/engine.h>
adfe54b7 98#include <openssl/err.h>
7793f30e 99#include <openssl/obj_mac.h>
adfe54b7 100
adfe54b7 101#define ABORT do { \
48fe4d62 102 fflush(stdout); \
bb62a8b0 103 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
adfe54b7
BM		 104 ERR_print_errors_fp(stderr); \
105 exit(1); \
106} while (0)
107
65ee74fb
LJ		 108#if 0
109static void timings(EC_GROUP *group, int multi, BN_CTX *ctx)
48fe4d62
BM		 110 {
111 clock_t clck;
112 int i, j;
7793f30e
BM		 113 BIGNUM *s;
114 BIGNUM *r[10], *r0[10];
48fe4d62 115 EC_POINT *P;
48fe4d62
BM		 116
117 s = BN_new();
7793f30e 118 if (s == NULL) ABORT;
48fe4d62 119
7793f30e 120 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
48fe4d62 121 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
7793f30e 122 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
48fe4d62
BM		 123 fflush(stdout);
124
125 P = EC_POINT_new(group);
126 if (P == NULL) ABORT;
127 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
128
48fe4d62
BM		 129 for (i = 0; i < 10; i++)
130 {
7793f30e
BM		 131 if ((r[i] = BN_new()) == NULL) ABORT;
132 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
9c10b2c8 133 if (multi)
48fe4d62 134 {
7793f30e
BM		 135 if ((r0[i] = BN_new()) == NULL) ABORT;
136 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
48fe4d62 137 }
7793f30e
BM		 138 }
139
140 clck = clock();
141 for (i = 0; i < 10; i++)
142 {
48fe4d62
BM		 143 for (j = 0; j < 10; j++)
144 {
7793f30e 145 if (!EC_POINT_mul(group, P, r[i], multi ? P : NULL, multi ? r0[i] : NULL, ctx)) ABORT;
48fe4d62 146 }
48fe4d62
BM		 147 }
148 fprintf(stdout, "\n");
149
150 clck = clock() - clck;
151
152#ifdef CLOCKS_PER_SEC
153 /* "To determine the time in seconds, the value returned
154 * by the clock function should be divided by the value
155 * of the macro CLOCKS_PER_SEC."
156 * -- ISO/IEC 9899 */
157# define UNIT "s"
158#else
159 /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
160 * -- cc on NeXTstep/OpenStep */
161# define UNIT "units"
162# define CLOCKS_PER_SEC 1
163#endif
164
165 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
9c10b2c8 166 multi ? "s*P+t*Q operations" : "point multiplications",
48fe4d62
BM		 167 (double)clck/CLOCKS_PER_SEC);
168 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
169
170 EC_POINT_free(P);
171 BN_free(s);
7793f30e
BM		 172 for (i = 0; i < 10; i++)
173 {
174 BN_free(r[i]);
175 if (multi) BN_free(r0[i]);
176 }
48fe4d62 177 }
65ee74fb 178#endif
48fe4d62 179
7793f30e 180void prime_field_tests()
adfe54b7 181 {
bb62a8b0
BM		 182 BN_CTX *ctx = NULL;
183 BIGNUM *p, *a, *b;
adfe54b7 184 EC_GROUP *group;
48fe4d62 185 EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 186 EC_POINT *P, *Q, *R;
187 BIGNUM *x, *y, *z;
188 unsigned char buf[100];
189 size_t i, len;
63c43dcc 190 int k;
bb62a8b0 191
48fe4d62 192#if 1 /* optional */
bb62a8b0
BM		 193 ctx = BN_CTX_new();
194 if (!ctx) ABORT;
195#endif
196
197 p = BN_new();
198 a = BN_new();
199 b = BN_new();
200 if (!p || !a || !b) ABORT;
201
42909e39
BM		 202 if (!BN_hex2bn(&p, "17")) ABORT;
203 if (!BN_hex2bn(&a, "1")) ABORT;
204 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 205
48fe4d62
BM		 206 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
207 * so that the library gets to choose the EC_METHOD */
adfe54b7 208 if (!group) ABORT;
48fe4d62 209
156e8557 210 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 211
212 {
213 EC_GROUP *tmp;
214 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
215 if (!tmp) ABORT;
216 if (!EC_GROUP_copy(tmp, group));
217 EC_GROUP_free(group);
218 group = tmp;
219 }
220
156e8557 221 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 222
223 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
224 BN_print_fp(stdout, p);
225 fprintf(stdout, ")\n a = 0x");
226 BN_print_fp(stdout, a);
227 fprintf(stdout, "\n b = 0x");
228 BN_print_fp(stdout, b);
229 fprintf(stdout, "\n");
230
231 P = EC_POINT_new(group);
232 Q = EC_POINT_new(group);
233 R = EC_POINT_new(group);
234 if (!P || !Q || !R) ABORT;
235
236 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
237 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
238
239 buf[0] = 0;
240 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
241
242 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
243 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
244
245 x = BN_new();
246 y = BN_new();
247 z = BN_new();
248 if (!x || !y || !z) ABORT;
249
42909e39 250 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 251 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
252 if (!EC_POINT_is_on_curve(group, Q, ctx))
253 {
156e8557
BM		 254 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
255 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 256 BN_print_fp(stderr, x);
156e8557
BM		 257 fprintf(stderr, ", y = 0x");
258 BN_print_fp(stderr, y);
bb62a8b0
BM		 259 fprintf(stderr, "\n");
260 ABORT;
261 }
262
263 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 264 k = 100;
bb62a8b0
BM		 265 do
266 {
63c43dcc
BM		 267 if (k-- == 0) ABORT;
268
bb62a8b0
BM		 269 if (EC_POINT_is_at_infinity(group, P))
270 fprintf(stdout, " point at infinity\n");
271 else
272 {
273 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
274
275 fprintf(stdout, " x = 0x");
276 BN_print_fp(stdout, x);
277 fprintf(stdout, ", y = 0x");
278 BN_print_fp(stdout, y);
279 fprintf(stdout, "\n");
280 }
281
282 if (!EC_POINT_copy(R, P)) ABORT;
283 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
284
285#if 0 /* optional */
48fe4d62
BM		 286 {
287 EC_POINT *points[3];
288
289 points[0] = R;
290 points[1] = Q;
291 points[2] = P;
292 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
293 }
adfe54b7 294#endif
48fe4d62 295
bb62a8b0
BM		 296 }
297 while (!EC_POINT_is_at_infinity(group, P));
298
299 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
300 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 301
bb62a8b0
BM		 302 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
303 if (len == 0) ABORT;
304 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
305 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
306 fprintf(stdout, "Generator as octect string, compressed form:\n ");
307 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
308
309 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
310 if (len == 0) ABORT;
311 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
312 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
313 fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n ");
314 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
315
316 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
317 if (len == 0) ABORT;
318 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
319 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
320 fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
321 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
322
323 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
324 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
325 BN_print_fp(stdout, x);
326 fprintf(stdout, ", Y = 0x");
327 BN_print_fp(stdout, y);
328 fprintf(stdout, ", Z = 0x");
329 BN_print_fp(stdout, z);
330 fprintf(stdout, "\n");
331
332 if (!EC_POINT_invert(group, P, ctx)) ABORT;
333 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
334
48fe4d62
BM		 335
336 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
337
338 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
339 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
340 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
341 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
342 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
343
344 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
345 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
346 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
347 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
348 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
349
350 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
351 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
352 BN_print_fp(stdout, x);
353 fprintf(stdout, "\n y = 0x");
354 BN_print_fp(stdout, y);
355 fprintf(stdout, "\n");
356 /* G_y value taken from the standard: */
357 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
358 if (0 != BN_cmp(y, z)) ABORT;
7793f30e
BM		 359
360 fprintf(stdout, "verify degree ...");
361 if (EC_GROUP_get_degree(group) != 192) ABORT;
362 fprintf(stdout, " ok\n");
48fe4d62 363
38374911 364 fprintf(stdout, "verify group order ...");
616df356 365 fflush(stdout);
48fe4d62 366 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911
BM		 367 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
368 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
369 fprintf(stdout, ".");
370 fflush(stdout);
194dd046 371 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911 372 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 373 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911 374 fprintf(stdout, " ok\n");
48fe4d62
BM		 375
376 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
377 if (!EC_GROUP_copy(P_192, group)) ABORT;
378
379
380 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
381
382 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
383 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
384 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
385 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
386 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
387
388 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
389 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
390 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
391 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
392 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
393
394 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
395 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
396 BN_print_fp(stdout, x);
397 fprintf(stdout, "\n y = 0x");
398 BN_print_fp(stdout, y);
399 fprintf(stdout, "\n");
400 /* G_y value taken from the standard: */
401 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
402 if (0 != BN_cmp(y, z)) ABORT;
403
7793f30e
BM		 404 fprintf(stdout, "verify degree ...");
405 if (EC_GROUP_get_degree(group) != 224) ABORT;
406 fprintf(stdout, " ok\n");
407
38374911 408 fprintf(stdout, "verify group order ...");
616df356 409 fflush(stdout);
48fe4d62 410 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 411 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 412 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 413 fprintf(stdout, ".");
414 fflush(stdout);
194dd046 415 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 416 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
417 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
418 fprintf(stdout, " ok\n");
419
48fe4d62
BM		 420 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
421 if (!EC_GROUP_copy(P_224, group)) ABORT;
422
423
424 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
425
426 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
427 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
428 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
429 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
430 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
431
432 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
433 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
434 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
435 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
436 "84F3B9CAC2FC632551")) ABORT;
437 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
438
439 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
440 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
441 BN_print_fp(stdout, x);
442 fprintf(stdout, "\n y = 0x");
443 BN_print_fp(stdout, y);
444 fprintf(stdout, "\n");
445 /* G_y value taken from the standard: */
446 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
447 if (0 != BN_cmp(y, z)) ABORT;
448
7793f30e
BM		 449 fprintf(stdout, "verify degree ...");
450 if (EC_GROUP_get_degree(group) != 256) ABORT;
451 fprintf(stdout, " ok\n");
452
38374911 453 fprintf(stdout, "verify group order ...");
616df356 454 fflush(stdout);
48fe4d62 455 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 456 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 457 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 458 fprintf(stdout, ".");
459 fflush(stdout);
194dd046 460 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 461 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
462 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
463 fprintf(stdout, " ok\n");
464
48fe4d62
BM		 465 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
466 if (!EC_GROUP_copy(P_256, group)) ABORT;
467
468
469 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
470
471 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
472 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
473 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
474 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
475 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
476 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
477 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
478 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
479
480 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
481 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
482 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
483 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
484 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
485 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
486 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
487
488 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
489 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
490 BN_print_fp(stdout, x);
491 fprintf(stdout, "\n y = 0x");
492 BN_print_fp(stdout, y);
493 fprintf(stdout, "\n");
494 /* G_y value taken from the standard: */
495 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
496 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
497 if (0 != BN_cmp(y, z)) ABORT;
498
7793f30e
BM		 499 fprintf(stdout, "verify degree ...");
500 if (EC_GROUP_get_degree(group) != 384) ABORT;
501 fprintf(stdout, " ok\n");
502
38374911 503 fprintf(stdout, "verify group order ...");
616df356 504 fflush(stdout);
48fe4d62 505 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 506 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 507 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 508 fprintf(stdout, ".");
509 fflush(stdout);
194dd046 510 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 511 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
512 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
513 fprintf(stdout, " ok\n");
514
48fe4d62
BM		 515 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
516 if (!EC_GROUP_copy(P_384, group)) ABORT;
517
518
519 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
520
521 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
522 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
523 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
524 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
525 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
526 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
527 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
528 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
529 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
530 "DF883D2C34F1EF451FD46B503F00")) ABORT;
531 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
532
533 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
534 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
535 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
536 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
537 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
538 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
539 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
540 "C9B8899C47AEBB6FB71E91386409")) ABORT;
541 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
542
543 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
544 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
545 BN_print_fp(stdout, x);
546 fprintf(stdout, "\n y = 0x");
547 BN_print_fp(stdout, y);
548 fprintf(stdout, "\n");
549 /* G_y value taken from the standard: */
550 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
551 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
552 "7086A272C24088BE94769FD16650")) ABORT;
553 if (0 != BN_cmp(y, z)) ABORT;
554
7793f30e
BM		 555 fprintf(stdout, "verify degree ...");
556 if (EC_GROUP_get_degree(group) != 521) ABORT;
557 fprintf(stdout, " ok\n");
558
38374911 559 fprintf(stdout, "verify group order ...");
616df356 560 fflush(stdout);
48fe4d62 561 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911
BM		 562 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
563 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
564 fprintf(stdout, ".");
565 fflush(stdout);
194dd046 566 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911 567 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 568 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911 569 fprintf(stdout, " ok\n");
48fe4d62
BM		 570
571 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
572 if (!EC_GROUP_copy(P_521, group)) ABORT;
573
574
575 /* more tests using the last curve */
576
577 if (!EC_POINT_copy(Q, P)) ABORT;
578 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
579 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
580 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
581 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
582
583 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
584 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
585 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
586
587 {
38374911
BM		 588 const EC_POINT *points[3];
589 const BIGNUM *scalars[3];
48fe4d62
BM		 590
591 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 592 points[0] = Q;
593 points[1] = Q;
594 points[2] = Q;
48fe4d62
BM		 595
596 if (!BN_add(y, z, BN_value_one())) ABORT;
597 if (BN_is_odd(y)) ABORT;
598 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 599 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
600 scalars[1] = y;
601
9c10b2c8 602 fprintf(stdout, "combined multiplication ...");
616df356 603 fflush(stdout);
48fe4d62
BM		 604
605 /* z is still the group order */
606 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
607 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
608 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
609 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
610
86a921af
BM		 611 fprintf(stdout, ".");
612 fflush(stdout);
613
614 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
752938da 615 if (!BN_add(z, z, y)) ABORT;
86a921af 616 z->neg = 1;
86a921af 617 scalars[0] = y;
752938da 618 scalars[1] = z; /* z = -(order + y) */
86a921af
BM		 619
620 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
621 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
622
38374911
BM		 623 fprintf(stdout, ".");
624 fflush(stdout);
625
626 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
627 if (!BN_add(z, x, y)) ABORT;
628 z->neg = 1;
629 scalars[0] = x;
630 scalars[1] = y;
631 scalars[2] = z; /* z = -(x+y) */
632
633 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
634 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
635
86a921af 636 fprintf(stdout, " ok\n\n");
48fe4d62
BM		 637 }
638
639
1226c472 640#if 0
48fe4d62
BM		 641 timings(P_192, 0, ctx);
642 timings(P_192, 1, ctx);
e44fceda
BM		 643 timings(P_224, 0, ctx);
644 timings(P_224, 1, ctx);
645 timings(P_256, 0, ctx);
646 timings(P_256, 1, ctx);
647 timings(P_384, 0, ctx);
648 timings(P_384, 1, ctx);
649 timings(P_521, 0, ctx);
650 timings(P_521, 1, ctx);
48fe4d62
BM		 651#endif
652
bb62a8b0
BM		 653
654 if (ctx)
655 BN_CTX_free(ctx);
656 BN_free(p); BN_free(a); BN_free(b);
657 EC_GROUP_free(group);
658 EC_POINT_free(P);
659 EC_POINT_free(Q);
660 EC_POINT_free(R);
661 BN_free(x); BN_free(y); BN_free(z);
662
48fe4d62
BM		 663 if (P_192) EC_GROUP_free(P_192);
664 if (P_224) EC_GROUP_free(P_224);
665 if (P_256) EC_GROUP_free(P_256);
666 if (P_384) EC_GROUP_free(P_384);
667 if (P_521) EC_GROUP_free(P_521);
668
7793f30e
BM		 669 }
670
671/* Change test based on whether binary point compression is enabled or not. */
672#ifdef OPENSSL_EC_BIN_PT_COMP
673#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
674 if (!BN_hex2bn(&x, _x)) ABORT; \
675 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
676 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
677 if (!BN_hex2bn(&z, _order)) ABORT; \
678 if (!BN_hex2bn(&cof, _cof)) ABORT; \
679 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
680 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
681 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
682 BN_print_fp(stdout, x); \
683 fprintf(stdout, "\n y = 0x"); \
684 BN_print_fp(stdout, y); \
685 fprintf(stdout, "\n"); \
686 /* G_y value taken from the standard: */ \
687 if (!BN_hex2bn(&z, _y)) ABORT; \
688 if (0 != BN_cmp(y, z)) ABORT;
689#else
690#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
691 if (!BN_hex2bn(&x, _x)) ABORT; \
692 if (!BN_hex2bn(&y, _y)) ABORT; \
693 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
694 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
695 if (!BN_hex2bn(&z, _order)) ABORT; \
696 if (!BN_hex2bn(&cof, _cof)) ABORT; \
697 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
698 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
699 BN_print_fp(stdout, x); \
700 fprintf(stdout, "\n y = 0x"); \
701 BN_print_fp(stdout, y); \
702 fprintf(stdout, "\n");
703#endif
704
705#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
706 if (!BN_hex2bn(&p, _p)) ABORT; \
707 if (!BN_hex2bn(&a, _a)) ABORT; \
708 if (!BN_hex2bn(&b, _b)) ABORT; \
709 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
710 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
711 fprintf(stdout, "verify degree ..."); \
712 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
713 fprintf(stdout, " ok\n"); \
714 fprintf(stdout, "verify group order ..."); \
715 fflush(stdout); \
716 if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \
717 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
718 if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
719 fprintf(stdout, "."); \
720 fflush(stdout); \
721 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \
722 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
723 if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
724 fprintf(stdout, " ok\n"); \
725 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
726 if (!EC_GROUP_copy(_variable, group)) ABORT;
727
728void char2_field_tests()
729 {
730 BN_CTX *ctx = NULL;
731 BIGNUM *p, *a, *b;
732 EC_GROUP *group;
733 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
734 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
735 EC_POINT *P, *Q, *R;
736 BIGNUM *x, *y, *z, *cof;
737 unsigned char buf[100];
738 size_t i, len;
739 int k;
740
741#if 1 /* optional */
742 ctx = BN_CTX_new();
743 if (!ctx) ABORT;
744#endif
745
746 p = BN_new();
747 a = BN_new();
748 b = BN_new();
749 if (!p || !a || !b) ABORT;
750
751 if (!BN_hex2bn(&p, "13")) ABORT;
752 if (!BN_hex2bn(&a, "3")) ABORT;
753 if (!BN_hex2bn(&b, "1")) ABORT;
754
755 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GFp
756 * so that the library gets to choose the EC_METHOD */
757 if (!group) ABORT;
758 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
759
760 {
761 EC_GROUP *tmp;
762 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
763 if (!tmp) ABORT;
764 if (!EC_GROUP_copy(tmp, group));
765 EC_GROUP_free(group);
766 group = tmp;
767 }
768
769 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
770
771 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
772 BN_print_fp(stdout, p);
773 fprintf(stdout, ")\n a = 0x");
774 BN_print_fp(stdout, a);
775 fprintf(stdout, "\n b = 0x");
776 BN_print_fp(stdout, b);
777 fprintf(stdout, "\n");
778
779 P = EC_POINT_new(group);
780 Q = EC_POINT_new(group);
781 R = EC_POINT_new(group);
782 if (!P || !Q || !R) ABORT;
783
784 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
785 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
786
787 buf[0] = 0;
788 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
789
790 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
791 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
792
793 x = BN_new();
794 y = BN_new();
795 z = BN_new();
796 cof = BN_new();
797 if (!x || !y || !z || !cof) ABORT;
798
799 if (!BN_hex2bn(&x, "6")) ABORT;
800/* Change test based on whether binary point compression is enabled or not. */
801#ifdef OPENSSL_EC_BIN_PT_COMP
802 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
803#else
804 if (!BN_hex2bn(&y, "8")) ABORT;
805 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
806#endif
807 if (!EC_POINT_is_on_curve(group, Q, ctx))
808 {
809/* Change test based on whether binary point compression is enabled or not. */
810#ifdef OPENSSL_EC_BIN_PT_COMP
811 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
812#endif
813 fprintf(stderr, "Point is not on curve: x = 0x");
814 BN_print_fp(stderr, x);
815 fprintf(stderr, ", y = 0x");
816 BN_print_fp(stderr, y);
817 fprintf(stderr, "\n");
818 ABORT;
819 }
820
821 fprintf(stdout, "A cyclic subgroup:\n");
822 k = 100;
823 do
824 {
825 if (k-- == 0) ABORT;
826
827 if (EC_POINT_is_at_infinity(group, P))
828 fprintf(stdout, " point at infinity\n");
829 else
830 {
831 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
832
833 fprintf(stdout, " x = 0x");
834 BN_print_fp(stdout, x);
835 fprintf(stdout, ", y = 0x");
836 BN_print_fp(stdout, y);
837 fprintf(stdout, "\n");
838 }
839
840 if (!EC_POINT_copy(R, P)) ABORT;
841 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
842 }
843 while (!EC_POINT_is_at_infinity(group, P));
844
845 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
846 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
847
848/* Change test based on whether binary point compression is enabled or not. */
849#ifdef OPENSSL_EC_BIN_PT_COMP
850 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
851 if (len == 0) ABORT;
852 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
853 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
854 fprintf(stdout, "Generator as octet string, compressed form:\n ");
855 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
856#endif
857
858 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
859 if (len == 0) ABORT;
860 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
861 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
862 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
863 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
864
865/* Change test based on whether binary point compression is enabled or not. */
866#ifdef OPENSSL_EC_BIN_PT_COMP
867 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
868 if (len == 0) ABORT;
869 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
870 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
871 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
872 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
873#endif
874
875 fprintf(stdout, "\n");
876
877 if (!EC_POINT_invert(group, P, ctx)) ABORT;
878 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
879
880
881 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
882 CHAR2_CURVE_TEST
883 (
884 "NIST curve K-163",
885 "0800000000000000000000000000000000000000C9",
886 "1",
887 "1",
888 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
889 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
890 1,
891 "04000000000000000000020108A2E0CC0D99F8A5EF",
892 "2",
893 163,
894 C2_K163
895 );
896
897 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
898 CHAR2_CURVE_TEST
899 (
900 "NIST curve B-163",
901 "0800000000000000000000000000000000000000C9",
902 "1",
903 "020A601907B8C953CA1481EB10512F78744A3205FD",
904 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
905 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
906 1,
907 "040000000000000000000292FE77E70C12A4234C33",
908 "2",
909 163,
910 C2_B163
911 );
912
913 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
914 CHAR2_CURVE_TEST
915 (
916 "NIST curve K-233",
917 "020000000000000000000000000000000000000004000000000000000001",
918 "0",
919 "1",
920 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
921 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
922 0,
923 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
924 "4",
925 233,
926 C2_K233
927 );
928
929 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
930 CHAR2_CURVE_TEST
931 (
932 "NIST curve B-233",
933 "020000000000000000000000000000000000000004000000000000000001",
934 "000000000000000000000000000000000000000000000000000000000001",
935 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
936 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
937 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
938 1,
939 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
940 "2",
941 233,
942 C2_B233
943 );
944
945 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
946 CHAR2_CURVE_TEST
947 (
948 "NIST curve K-283",
949 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
950 "0",
951 "1",
952 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
953 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
954 0,
955 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
956 "4",
957 283,
958 C2_K283
959 );
960
961 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
962 CHAR2_CURVE_TEST
963 (
964 "NIST curve B-283",
965 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
966 "000000000000000000000000000000000000000000000000000000000000000000000001",
967 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
968 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
969 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
970 1,
971 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
972 "2",
973 283,
974 C2_B283
975 );
976
977 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
978 CHAR2_CURVE_TEST
979 (
980 "NIST curve K-409",
981 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
982 "0",
983 "1",
984 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
985 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
986 1,
987 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
988 "4",
989 409,
990 C2_K409
991 );
992
993 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
994 CHAR2_CURVE_TEST
995 (
996 "NIST curve B-409",
997 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
998 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
999 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1000 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1001 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1002 1,
1003 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1004 "2",
1005 409,
1006 C2_B409
1007 );
1008
1009 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1010 CHAR2_CURVE_TEST
1011 (
1012 "NIST curve K-571",
1013 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1014 "0",
1015 "1",
1016 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1017 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1018 0,
1019 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1020 "4",
1021 571,
1022 C2_K571
1023 );
1024
1025 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1026 CHAR2_CURVE_TEST
1027 (
1028 "NIST curve B-571",
1029 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1030 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1031 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1032 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1033 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1034 1,
1035 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1036 "2",
1037 571,
1038 C2_B571
1039 );
1040
1041 /* more tests using the last curve */
1042
1043 if (!EC_POINT_copy(Q, P)) ABORT;
1044 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1045 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1046 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1047 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1048
1049 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1050 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1051 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1052
1053 {
1054 const EC_POINT *points[3];
1055 const BIGNUM *scalars[3];
1056
1057 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1058 points[0] = Q;
1059 points[1] = Q;
1060 points[2] = Q;
1061
1062 if (!BN_add(y, z, BN_value_one())) ABORT;
1063 if (BN_is_odd(y)) ABORT;
1064 if (!BN_rshift1(y, y)) ABORT;
1065 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1066 scalars[1] = y;
1067
1068 fprintf(stdout, "combined multiplication ...");
1069 fflush(stdout);
1070
1071 /* z is still the group order */
1072 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1073 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1074 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1075 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1076
1077 fprintf(stdout, ".");
1078 fflush(stdout);
1079
1080 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1081 if (!BN_add(z, z, y)) ABORT;
1082 z->neg = 1;
1083 scalars[0] = y;
1084 scalars[1] = z; /* z = -(order + y) */
1085
1086 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1087 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1088
1089 fprintf(stdout, ".");
1090 fflush(stdout);
1091
1092 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1093 if (!BN_add(z, x, y)) ABORT;
1094 z->neg = 1;
1095 scalars[0] = x;
1096 scalars[1] = y;
1097 scalars[2] = z; /* z = -(x+y) */
1098
1099 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1100 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1101
1102 fprintf(stdout, " ok\n\n");
1103 }
1104
1105
1106#if 0
1107 timings(C2_K163, 0, ctx);
1108 timings(C2_K163, 1, ctx);
1109 timings(C2_B163, 0, ctx);
1110 timings(C2_B163, 1, ctx);
1111 timings(C2_K233, 0, ctx);
1112 timings(C2_K233, 1, ctx);
1113 timings(C2_B233, 0, ctx);
1114 timings(C2_B233, 1, ctx);
1115 timings(C2_K283, 0, ctx);
1116 timings(C2_K283, 1, ctx);
1117 timings(C2_B283, 0, ctx);
1118 timings(C2_B283, 1, ctx);
1119 timings(C2_K409, 0, ctx);
1120 timings(C2_K409, 1, ctx);
1121 timings(C2_B409, 0, ctx);
1122 timings(C2_B409, 1, ctx);
1123 timings(C2_K571, 0, ctx);
1124 timings(C2_K571, 1, ctx);
1125 timings(C2_B571, 0, ctx);
1126 timings(C2_B571, 1, ctx);
1127#endif
1128
1129
1130 if (ctx)
1131 BN_CTX_free(ctx);
1132 BN_free(p); BN_free(a); BN_free(b);
1133 EC_GROUP_free(group);
1134 EC_POINT_free(P);
1135 EC_POINT_free(Q);
1136 EC_POINT_free(R);
1137 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1138
1139 if (C2_K163) EC_GROUP_free(C2_K163);
1140 if (C2_B163) EC_GROUP_free(C2_B163);
1141 if (C2_K233) EC_GROUP_free(C2_K233);
1142 if (C2_B233) EC_GROUP_free(C2_B233);
1143 if (C2_K283) EC_GROUP_free(C2_K283);
1144 if (C2_B283) EC_GROUP_free(C2_B283);
1145 if (C2_K409) EC_GROUP_free(C2_K409);
1146 if (C2_B409) EC_GROUP_free(C2_B409);
1147 if (C2_K571) EC_GROUP_free(C2_K571);
1148 if (C2_B571) EC_GROUP_free(C2_B571);
1149
1150 }
1151
1152static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1153
1154int main(int argc, char *argv[])
1155 {
1156
1157 /* enable memory leak checking unless explicitly disabled */
1158 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1159 {
1160 CRYPTO_malloc_debug_init();
1161 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1162 }
1163 else
1164 {
1165 /* OPENSSL_DEBUG_MEMORY=off */
1166 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1167 }
1168 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1169 ERR_load_crypto_strings();
1170
1171 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1172
1173 prime_field_tests();
1174 char2_field_tests();
1175
b8e2f83a 1176 ENGINE_cleanup();
79aa04ef 1177 CRYPTO_cleanup_all_ex_data();
bb62a8b0
BM		 1178 ERR_free_strings();
1179 ERR_remove_state(0);
1180 CRYPTO_mem_leaks_fp(stderr);
1181
adfe54b7
BM		 1182 return 0;
1183 }
bb62a8b0 1184#endif
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