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Avoid aliasing between stack frames and S-boxes. Compress prefetch code.
[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 *
7793f30e
BM		 67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
62763f68 71
adfe54b7
BM		 72#include <stdio.h>
73#include <stdlib.h>
0bf23d9b
RL		 74#ifdef FLAT_INC
75#include "e_os.h"
76#else
b4b82ab4 77#include "../e_os.h"
0bf23d9b 78#endif
413a4a04 79#include <string.h>
48fe4d62 80#include <time.h>
adfe54b7 81
bb62a8b0
BM		 82
83#ifdef OPENSSL_NO_EC
84int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
85#else
86
87
62763f68 88#include <openssl/ec.h>
0b13e9f0 89#ifndef OPENSSL_NO_ENGINE
b8e2f83a 90#include <openssl/engine.h>
0b13e9f0 91#endif
adfe54b7 92#include <openssl/err.h>
7793f30e 93#include <openssl/obj_mac.h>
d742bd88 94#include <openssl/objects.h>
60a938c6 95#include <openssl/rand.h>
0f814687 96#include <openssl/bn.h>
adfe54b7 97
adfe54b7 98#define ABORT do { \
48fe4d62 99 fflush(stdout); \
bb62a8b0 100 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
adfe54b7 101 ERR_print_errors_fp(stderr); \
55f78baf 102 EXIT(1); \
adfe54b7
BM		 103} while (0)
104
41fdcfa7
BM		 105void prime_field_tests(void);
106void char2_field_tests(void);
d742bd88 107void internal_curve_test(void);
41fdcfa7 108
652ae06b
BM		 109#define TIMING_BASE_PT 0
110#define TIMING_RAND_PT 1
111#define TIMING_SIMUL 2
112
65ee74fb 113#if 0
652ae06b 114static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
48fe4d62
BM		 115 {
116 clock_t clck;
117 int i, j;
7793f30e
BM		 118 BIGNUM *s;
119 BIGNUM *r[10], *r0[10];
48fe4d62 120 EC_POINT *P;
48fe4d62
BM		 121
122 s = BN_new();
7793f30e 123 if (s == NULL) ABORT;
48fe4d62 124
7793f30e 125 fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
48fe4d62 126 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
7793f30e 127 fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
48fe4d62
BM		 128 fflush(stdout);
129
130 P = EC_POINT_new(group);
131 if (P == NULL) ABORT;
132 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
133
48fe4d62
BM		 134 for (i = 0; i < 10; i++)
135 {
7793f30e
BM		 136 if ((r[i] = BN_new()) == NULL) ABORT;
137 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
652ae06b 138 if (type != TIMING_BASE_PT)
48fe4d62 139 {
7793f30e
BM		 140 if ((r0[i] = BN_new()) == NULL) ABORT;
141 if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
48fe4d62 142 }
7793f30e
BM		 143 }
144
145 clck = clock();
146 for (i = 0; i < 10; i++)
147 {
48fe4d62
BM		 148 for (j = 0; j < 10; j++)
149 {
652ae06b
BM		 150 if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
151 (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
48fe4d62 152 }
48fe4d62 153 }
48fe4d62
BM		 154 clck = clock() - clck;
155
652ae06b
BM		 156 fprintf(stdout, "\n");
157
48fe4d62
BM		 158#ifdef CLOCKS_PER_SEC
159 /* "To determine the time in seconds, the value returned
160 * by the clock function should be divided by the value
161 * of the macro CLOCKS_PER_SEC."
162 * -- ISO/IEC 9899 */
163# define UNIT "s"
164#else
165 /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
166 * -- cc on NeXTstep/OpenStep */
167# define UNIT "units"
168# define CLOCKS_PER_SEC 1
169#endif
170
652ae06b
BM		 171 if (type == TIMING_BASE_PT) {
172 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
173 "base point multiplications", (double)clck/CLOCKS_PER_SEC);
174 } else if (type == TIMING_RAND_PT) {
175 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
176 "random point multiplications", (double)clck/CLOCKS_PER_SEC);
177 } else if (type == TIMING_SIMUL) {
178 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
179 "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
180 }
48fe4d62
BM		 181 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
182
183 EC_POINT_free(P);
184 BN_free(s);
7793f30e
BM		 185 for (i = 0; i < 10; i++)
186 {
187 BN_free(r[i]);
652ae06b 188 if (type != TIMING_BASE_PT) BN_free(r0[i]);
7793f30e 189 }
48fe4d62 190 }
65ee74fb 191#endif
48fe4d62 192
7793f30e 193void prime_field_tests()
adfe54b7 194 {
bb62a8b0
BM		 195 BN_CTX *ctx = NULL;
196 BIGNUM *p, *a, *b;
adfe54b7 197 EC_GROUP *group;
652ae06b 198 EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 199 EC_POINT *P, *Q, *R;
200 BIGNUM *x, *y, *z;
201 unsigned char buf[100];
202 size_t i, len;
63c43dcc 203 int k;
bb62a8b0 204
48fe4d62 205#if 1 /* optional */
bb62a8b0
BM		 206 ctx = BN_CTX_new();
207 if (!ctx) ABORT;
208#endif
209
210 p = BN_new();
211 a = BN_new();
212 b = BN_new();
213 if (!p || !a || !b) ABORT;
214
42909e39
BM		 215 if (!BN_hex2bn(&p, "17")) ABORT;
216 if (!BN_hex2bn(&a, "1")) ABORT;
217 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 218
48fe4d62
BM		 219 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
220 * so that the library gets to choose the EC_METHOD */
adfe54b7 221 if (!group) ABORT;
48fe4d62 222
156e8557 223 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 224
225 {
226 EC_GROUP *tmp;
227 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
228 if (!tmp) ABORT;
229 if (!EC_GROUP_copy(tmp, group));
230 EC_GROUP_free(group);
231 group = tmp;
232 }
233
156e8557 234 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 235
236 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
237 BN_print_fp(stdout, p);
238 fprintf(stdout, ")\n a = 0x");
239 BN_print_fp(stdout, a);
240 fprintf(stdout, "\n b = 0x");
241 BN_print_fp(stdout, b);
242 fprintf(stdout, "\n");
243
244 P = EC_POINT_new(group);
245 Q = EC_POINT_new(group);
246 R = EC_POINT_new(group);
247 if (!P || !Q || !R) ABORT;
248
249 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
250 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
251
252 buf[0] = 0;
253 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
254
255 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
256 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
257
258 x = BN_new();
259 y = BN_new();
260 z = BN_new();
261 if (!x || !y || !z) ABORT;
262
42909e39 263 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 264 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
265 if (!EC_POINT_is_on_curve(group, Q, ctx))
266 {
156e8557
BM		 267 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
268 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 269 BN_print_fp(stderr, x);
156e8557
BM		 270 fprintf(stderr, ", y = 0x");
271 BN_print_fp(stderr, y);
bb62a8b0
BM		 272 fprintf(stderr, "\n");
273 ABORT;
274 }
275
276 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 277 k = 100;
bb62a8b0
BM		 278 do
279 {
63c43dcc
BM		 280 if (k-- == 0) ABORT;
281
bb62a8b0
BM		 282 if (EC_POINT_is_at_infinity(group, P))
283 fprintf(stdout, " point at infinity\n");
284 else
285 {
286 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
287
288 fprintf(stdout, " x = 0x");
289 BN_print_fp(stdout, x);
290 fprintf(stdout, ", y = 0x");
291 BN_print_fp(stdout, y);
292 fprintf(stdout, "\n");
293 }
294
295 if (!EC_POINT_copy(R, P)) ABORT;
296 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
297
298#if 0 /* optional */
48fe4d62
BM		 299 {
300 EC_POINT *points[3];
301
302 points[0] = R;
303 points[1] = Q;
304 points[2] = P;
305 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
306 }
adfe54b7 307#endif
48fe4d62 308
bb62a8b0
BM		 309 }
310 while (!EC_POINT_is_at_infinity(group, P));
311
312 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
313 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 314
bb62a8b0
BM		 315 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
316 if (len == 0) ABORT;
317 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
318 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
319 fprintf(stdout, "Generator as octect string, compressed form:\n ");
320 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
321
322 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
323 if (len == 0) ABORT;
324 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
325 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
326 fprintf(stdout, "\nGenerator as octect 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) ABORT;
331 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
332 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
333 fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
334 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
335
336 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
337 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
338 BN_print_fp(stdout, x);
339 fprintf(stdout, ", Y = 0x");
340 BN_print_fp(stdout, y);
341 fprintf(stdout, ", Z = 0x");
342 BN_print_fp(stdout, z);
343 fprintf(stdout, "\n");
344
345 if (!EC_POINT_invert(group, P, ctx)) ABORT;
346 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
347
48fe4d62 348
652ae06b
BM		 349 /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
350 * -- not a NIST curve, but commonly used */
351
352 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
353 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
354 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
355 if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
356 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
357
358 if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
359 if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
360 if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
361 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
362 if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
363 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
364
365 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
366 fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
367 BN_print_fp(stdout, x);
368 fprintf(stdout, "\n y = 0x");
369 BN_print_fp(stdout, y);
370 fprintf(stdout, "\n");
371 /* G_y value taken from the standard: */
372 if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
373 if (0 != BN_cmp(y, z)) ABORT;
374
375 fprintf(stdout, "verify degree ...");
376 if (EC_GROUP_get_degree(group) != 160) ABORT;
377 fprintf(stdout, " ok\n");
378
379 fprintf(stdout, "verify group order ...");
380 fflush(stdout);
381 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
382 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
383 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
384 fprintf(stdout, ".");
385 fflush(stdout);
386 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
387 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
388 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
389 fprintf(stdout, " ok\n");
390
391 if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
392 if (!EC_GROUP_copy(P_160, group)) ABORT;
393
394
48fe4d62
BM		 395 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
396
397 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 398 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 399 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
400 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
401 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
402
403 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
404 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
405 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
406 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
407 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
408
409 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
410 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
411 BN_print_fp(stdout, x);
412 fprintf(stdout, "\n y = 0x");
413 BN_print_fp(stdout, y);
414 fprintf(stdout, "\n");
415 /* G_y value taken from the standard: */
416 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
417 if (0 != BN_cmp(y, z)) ABORT;
7793f30e
BM		 418
419 fprintf(stdout, "verify degree ...");
420 if (EC_GROUP_get_degree(group) != 192) ABORT;
421 fprintf(stdout, " ok\n");
48fe4d62 422
38374911 423 fprintf(stdout, "verify group order ...");
616df356 424 fflush(stdout);
48fe4d62 425 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911
BM		 426 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
427 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
428 fprintf(stdout, ".");
429 fflush(stdout);
194dd046 430 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911 431 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 432 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911 433 fprintf(stdout, " ok\n");
48fe4d62
BM		 434
435 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
436 if (!EC_GROUP_copy(P_192, group)) ABORT;
437
438
439 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
440
441 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
e9224c71 442 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 443 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
444 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
445 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
446
447 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
448 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
449 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
450 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
451 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
452
453 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
454 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
455 BN_print_fp(stdout, x);
456 fprintf(stdout, "\n y = 0x");
457 BN_print_fp(stdout, y);
458 fprintf(stdout, "\n");
459 /* G_y value taken from the standard: */
460 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
461 if (0 != BN_cmp(y, z)) ABORT;
462
7793f30e
BM		 463 fprintf(stdout, "verify degree ...");
464 if (EC_GROUP_get_degree(group) != 224) ABORT;
465 fprintf(stdout, " ok\n");
466
38374911 467 fprintf(stdout, "verify group order ...");
616df356 468 fflush(stdout);
48fe4d62 469 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 470 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 471 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 472 fprintf(stdout, ".");
473 fflush(stdout);
194dd046 474 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 475 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
476 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
477 fprintf(stdout, " ok\n");
478
48fe4d62
BM		 479 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
480 if (!EC_GROUP_copy(P_224, group)) ABORT;
481
482
483 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
484
485 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 486 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 487 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
488 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
489 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
490
491 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
492 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
493 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
494 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
495 "84F3B9CAC2FC632551")) ABORT;
496 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
497
498 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
499 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
500 BN_print_fp(stdout, x);
501 fprintf(stdout, "\n y = 0x");
502 BN_print_fp(stdout, y);
503 fprintf(stdout, "\n");
504 /* G_y value taken from the standard: */
505 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
506 if (0 != BN_cmp(y, z)) ABORT;
507
7793f30e
BM		 508 fprintf(stdout, "verify degree ...");
509 if (EC_GROUP_get_degree(group) != 256) ABORT;
510 fprintf(stdout, " ok\n");
511
38374911 512 fprintf(stdout, "verify group order ...");
616df356 513 fflush(stdout);
48fe4d62 514 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 515 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 516 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 517 fprintf(stdout, ".");
518 fflush(stdout);
194dd046 519 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 520 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
521 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
522 fprintf(stdout, " ok\n");
523
48fe4d62
BM		 524 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
525 if (!EC_GROUP_copy(P_256, group)) ABORT;
526
527
528 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
529
530 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
531 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
e9224c71 532 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 533 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
534 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
535 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
536 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
537 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
538
539 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
540 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
541 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
542 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
543 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
544 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
545 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
546
547 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
548 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
549 BN_print_fp(stdout, x);
550 fprintf(stdout, "\n y = 0x");
551 BN_print_fp(stdout, y);
552 fprintf(stdout, "\n");
553 /* G_y value taken from the standard: */
554 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
555 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
556 if (0 != BN_cmp(y, z)) ABORT;
557
7793f30e
BM		 558 fprintf(stdout, "verify degree ...");
559 if (EC_GROUP_get_degree(group) != 384) ABORT;
560 fprintf(stdout, " ok\n");
561
38374911 562 fprintf(stdout, "verify group order ...");
616df356 563 fflush(stdout);
48fe4d62 564 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 565 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 566 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 567 fprintf(stdout, ".");
568 fflush(stdout);
194dd046 569 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 570 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
571 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
572 fprintf(stdout, " ok\n");
573
48fe4d62
BM		 574 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
575 if (!EC_GROUP_copy(P_384, group)) ABORT;
576
577
578 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
579
580 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
581 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
582 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
e9224c71 583 if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
48fe4d62
BM		 584 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
585 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
586 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
587 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
588 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
589 "DF883D2C34F1EF451FD46B503F00")) ABORT;
590 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
591
592 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
593 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
594 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
595 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
596 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
597 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
598 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
599 "C9B8899C47AEBB6FB71E91386409")) ABORT;
600 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
601
602 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
603 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
604 BN_print_fp(stdout, x);
605 fprintf(stdout, "\n y = 0x");
606 BN_print_fp(stdout, y);
607 fprintf(stdout, "\n");
608 /* G_y value taken from the standard: */
609 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
610 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
611 "7086A272C24088BE94769FD16650")) ABORT;
612 if (0 != BN_cmp(y, z)) ABORT;
613
7793f30e
BM		 614 fprintf(stdout, "verify degree ...");
615 if (EC_GROUP_get_degree(group) != 521) ABORT;
616 fprintf(stdout, " ok\n");
617
38374911 618 fprintf(stdout, "verify group order ...");
616df356 619 fflush(stdout);
48fe4d62 620 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911
BM		 621 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
622 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
623 fprintf(stdout, ".");
624 fflush(stdout);
194dd046 625 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911 626 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 627 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911 628 fprintf(stdout, " ok\n");
48fe4d62
BM		 629
630 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
631 if (!EC_GROUP_copy(P_521, group)) ABORT;
632
633
634 /* more tests using the last curve */
635
636 if (!EC_POINT_copy(Q, P)) ABORT;
637 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
638 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
639 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
640 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
641
642 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
643 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
644 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
645
646 {
38374911
BM		 647 const EC_POINT *points[3];
648 const BIGNUM *scalars[3];
48fe4d62
BM		 649
650 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 651 points[0] = Q;
652 points[1] = Q;
653 points[2] = Q;
48fe4d62
BM		 654
655 if (!BN_add(y, z, BN_value_one())) ABORT;
656 if (BN_is_odd(y)) ABORT;
657 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 658 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
659 scalars[1] = y;
660
9c10b2c8 661 fprintf(stdout, "combined multiplication ...");
616df356 662 fflush(stdout);
48fe4d62
BM		 663
664 /* z is still the group order */
665 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
666 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
667 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
668 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
669
86a921af
BM		 670 fprintf(stdout, ".");
671 fflush(stdout);
672
673 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
752938da 674 if (!BN_add(z, z, y)) ABORT;
b53e44e5 675 BN_set_sign(z, 1);
86a921af 676 scalars[0] = y;
752938da 677 scalars[1] = z; /* z = -(order + y) */
86a921af
BM		 678
679 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
680 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
681
38374911
BM		 682 fprintf(stdout, ".");
683 fflush(stdout);
684
685 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
686 if (!BN_add(z, x, y)) ABORT;
b53e44e5 687 BN_set_sign(z, 1);
38374911
BM		 688 scalars[0] = x;
689 scalars[1] = y;
690 scalars[2] = z; /* z = -(x+y) */
691
692 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
693 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
694
86a921af 695 fprintf(stdout, " ok\n\n");
48fe4d62
BM		 696 }
697
698
1226c472 699#if 0
652ae06b
BM		 700 timings(P_160, TIMING_BASE_PT, ctx);
701 timings(P_160, TIMING_RAND_PT, ctx);
702 timings(P_160, TIMING_SIMUL, ctx);
703 timings(P_192, TIMING_BASE_PT, ctx);
704 timings(P_192, TIMING_RAND_PT, ctx);
705 timings(P_192, TIMING_SIMUL, ctx);
706 timings(P_224, TIMING_BASE_PT, ctx);
707 timings(P_224, TIMING_RAND_PT, ctx);
708 timings(P_224, TIMING_SIMUL, ctx);
709 timings(P_256, TIMING_BASE_PT, ctx);
710 timings(P_256, TIMING_RAND_PT, ctx);
711 timings(P_256, TIMING_SIMUL, ctx);
712 timings(P_384, TIMING_BASE_PT, ctx);
713 timings(P_384, TIMING_RAND_PT, ctx);
714 timings(P_384, TIMING_SIMUL, ctx);
715 timings(P_521, TIMING_BASE_PT, ctx);
716 timings(P_521, TIMING_RAND_PT, ctx);
717 timings(P_521, TIMING_SIMUL, ctx);
48fe4d62
BM		 718#endif
719
bb62a8b0
BM		 720
721 if (ctx)
722 BN_CTX_free(ctx);
723 BN_free(p); BN_free(a); BN_free(b);
724 EC_GROUP_free(group);
725 EC_POINT_free(P);
726 EC_POINT_free(Q);
727 EC_POINT_free(R);
728 BN_free(x); BN_free(y); BN_free(z);
729
652ae06b 730 if (P_160) EC_GROUP_free(P_160);
48fe4d62
BM		 731 if (P_192) EC_GROUP_free(P_192);
732 if (P_224) EC_GROUP_free(P_224);
733 if (P_256) EC_GROUP_free(P_256);
734 if (P_384) EC_GROUP_free(P_384);
735 if (P_521) EC_GROUP_free(P_521);
736
7793f30e
BM		 737 }
738
739/* Change test based on whether binary point compression is enabled or not. */
740#ifdef OPENSSL_EC_BIN_PT_COMP
741#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
742 if (!BN_hex2bn(&x, _x)) ABORT; \
743 if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
744 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
745 if (!BN_hex2bn(&z, _order)) ABORT; \
746 if (!BN_hex2bn(&cof, _cof)) ABORT; \
747 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
748 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
749 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
750 BN_print_fp(stdout, x); \
751 fprintf(stdout, "\n y = 0x"); \
752 BN_print_fp(stdout, y); \
753 fprintf(stdout, "\n"); \
754 /* G_y value taken from the standard: */ \
755 if (!BN_hex2bn(&z, _y)) ABORT; \
756 if (0 != BN_cmp(y, z)) ABORT;
757#else
758#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
759 if (!BN_hex2bn(&x, _x)) ABORT; \
760 if (!BN_hex2bn(&y, _y)) ABORT; \
761 if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
762 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
763 if (!BN_hex2bn(&z, _order)) ABORT; \
764 if (!BN_hex2bn(&cof, _cof)) ABORT; \
765 if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
766 fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
767 BN_print_fp(stdout, x); \
768 fprintf(stdout, "\n y = 0x"); \
769 BN_print_fp(stdout, y); \
770 fprintf(stdout, "\n");
771#endif
772
773#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
774 if (!BN_hex2bn(&p, _p)) ABORT; \
775 if (!BN_hex2bn(&a, _a)) ABORT; \
776 if (!BN_hex2bn(&b, _b)) ABORT; \
777 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
778 CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
779 fprintf(stdout, "verify degree ..."); \
780 if (EC_GROUP_get_degree(group) != _degree) ABORT; \
781 fprintf(stdout, " ok\n"); \
782 fprintf(stdout, "verify group order ..."); \
783 fflush(stdout); \
784 if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \
785 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
786 if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
787 fprintf(stdout, "."); \
788 fflush(stdout); \
789 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \
790 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
791 if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
792 fprintf(stdout, " ok\n"); \
793 if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
794 if (!EC_GROUP_copy(_variable, group)) ABORT;
795
796void char2_field_tests()
797 {
798 BN_CTX *ctx = NULL;
799 BIGNUM *p, *a, *b;
800 EC_GROUP *group;
801 EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
802 EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
803 EC_POINT *P, *Q, *R;
804 BIGNUM *x, *y, *z, *cof;
805 unsigned char buf[100];
806 size_t i, len;
807 int k;
808
809#if 1 /* optional */
810 ctx = BN_CTX_new();
811 if (!ctx) ABORT;
812#endif
813
814 p = BN_new();
815 a = BN_new();
816 b = BN_new();
817 if (!p || !a || !b) ABORT;
818
819 if (!BN_hex2bn(&p, "13")) ABORT;
820 if (!BN_hex2bn(&a, "3")) ABORT;
821 if (!BN_hex2bn(&b, "1")) ABORT;
822
848c8495
BM		 823 group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
824 * so that the library gets to choose the EC_METHOD */
7793f30e
BM		 825 if (!group) ABORT;
826 if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
827
828 {
829 EC_GROUP *tmp;
830 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
831 if (!tmp) ABORT;
832 if (!EC_GROUP_copy(tmp, group));
833 EC_GROUP_free(group);
834 group = tmp;
835 }
836
837 if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
838
839 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
840 BN_print_fp(stdout, p);
841 fprintf(stdout, ")\n a = 0x");
842 BN_print_fp(stdout, a);
843 fprintf(stdout, "\n b = 0x");
844 BN_print_fp(stdout, b);
848c8495 845 fprintf(stdout, "\n(0x... means binary polynomial)\n");
7793f30e
BM		 846
847 P = EC_POINT_new(group);
848 Q = EC_POINT_new(group);
849 R = EC_POINT_new(group);
850 if (!P || !Q || !R) ABORT;
851
852 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
853 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
854
855 buf[0] = 0;
856 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
857
858 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
859 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
860
861 x = BN_new();
862 y = BN_new();
863 z = BN_new();
864 cof = BN_new();
865 if (!x || !y || !z || !cof) ABORT;
866
867 if (!BN_hex2bn(&x, "6")) ABORT;
868/* Change test based on whether binary point compression is enabled or not. */
869#ifdef OPENSSL_EC_BIN_PT_COMP
870 if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
871#else
872 if (!BN_hex2bn(&y, "8")) ABORT;
873 if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
874#endif
875 if (!EC_POINT_is_on_curve(group, Q, ctx))
876 {
877/* Change test based on whether binary point compression is enabled or not. */
878#ifdef OPENSSL_EC_BIN_PT_COMP
879 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
880#endif
881 fprintf(stderr, "Point is not on curve: x = 0x");
882 BN_print_fp(stderr, x);
883 fprintf(stderr, ", y = 0x");
884 BN_print_fp(stderr, y);
885 fprintf(stderr, "\n");
886 ABORT;
887 }
888
889 fprintf(stdout, "A cyclic subgroup:\n");
890 k = 100;
891 do
892 {
893 if (k-- == 0) ABORT;
894
895 if (EC_POINT_is_at_infinity(group, P))
896 fprintf(stdout, " point at infinity\n");
897 else
898 {
899 if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
900
901 fprintf(stdout, " x = 0x");
902 BN_print_fp(stdout, x);
903 fprintf(stdout, ", y = 0x");
904 BN_print_fp(stdout, y);
905 fprintf(stdout, "\n");
906 }
907
908 if (!EC_POINT_copy(R, P)) ABORT;
909 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
910 }
911 while (!EC_POINT_is_at_infinity(group, P));
912
913 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
914 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
915
916/* Change test based on whether binary point compression is enabled or not. */
917#ifdef OPENSSL_EC_BIN_PT_COMP
918 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
919 if (len == 0) ABORT;
920 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
921 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
922 fprintf(stdout, "Generator as octet string, compressed form:\n ");
923 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
924#endif
925
926 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
927 if (len == 0) ABORT;
928 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
929 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
930 fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
931 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
932
933/* Change test based on whether binary point compression is enabled or not. */
934#ifdef OPENSSL_EC_BIN_PT_COMP
935 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
936 if (len == 0) ABORT;
937 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
938 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
939 fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
940 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
941#endif
942
943 fprintf(stdout, "\n");
944
945 if (!EC_POINT_invert(group, P, ctx)) ABORT;
946 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
947
948
949 /* Curve K-163 (FIPS PUB 186-2, App. 6) */
950 CHAR2_CURVE_TEST
951 (
952 "NIST curve K-163",
953 "0800000000000000000000000000000000000000C9",
954 "1",
955 "1",
956 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
957 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
958 1,
959 "04000000000000000000020108A2E0CC0D99F8A5EF",
960 "2",
961 163,
962 C2_K163
963 );
964
965 /* Curve B-163 (FIPS PUB 186-2, App. 6) */
966 CHAR2_CURVE_TEST
967 (
968 "NIST curve B-163",
969 "0800000000000000000000000000000000000000C9",
970 "1",
971 "020A601907B8C953CA1481EB10512F78744A3205FD",
972 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
973 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
974 1,
975 "040000000000000000000292FE77E70C12A4234C33",
976 "2",
977 163,
978 C2_B163
979 );
980
981 /* Curve K-233 (FIPS PUB 186-2, App. 6) */
982 CHAR2_CURVE_TEST
983 (
984 "NIST curve K-233",
985 "020000000000000000000000000000000000000004000000000000000001",
986 "0",
987 "1",
988 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
989 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
990 0,
991 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
992 "4",
993 233,
994 C2_K233
995 );
996
997 /* Curve B-233 (FIPS PUB 186-2, App. 6) */
998 CHAR2_CURVE_TEST
999 (
1000 "NIST curve B-233",
1001 "020000000000000000000000000000000000000004000000000000000001",
1002 "000000000000000000000000000000000000000000000000000000000001",
1003 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1004 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1005 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1006 1,
1007 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1008 "2",
1009 233,
1010 C2_B233
1011 );
1012
1013 /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1014 CHAR2_CURVE_TEST
1015 (
1016 "NIST curve K-283",
1017 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1018 "0",
1019 "1",
1020 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1021 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1022 0,
1023 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1024 "4",
1025 283,
1026 C2_K283
1027 );
1028
1029 /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1030 CHAR2_CURVE_TEST
1031 (
1032 "NIST curve B-283",
1033 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1034 "000000000000000000000000000000000000000000000000000000000000000000000001",
1035 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1036 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1037 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1038 1,
1039 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1040 "2",
1041 283,
1042 C2_B283
1043 );
1044
1045 /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1046 CHAR2_CURVE_TEST
1047 (
1048 "NIST curve K-409",
1049 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1050 "0",
1051 "1",
1052 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1053 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1054 1,
1055 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1056 "4",
1057 409,
1058 C2_K409
1059 );
1060
1061 /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1062 CHAR2_CURVE_TEST
1063 (
1064 "NIST curve B-409",
1065 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1066 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1067 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1068 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1069 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1070 1,
1071 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1072 "2",
1073 409,
1074 C2_B409
1075 );
1076
1077 /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1078 CHAR2_CURVE_TEST
1079 (
1080 "NIST curve K-571",
1081 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1082 "0",
1083 "1",
1084 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1085 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1086 0,
1087 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1088 "4",
1089 571,
1090 C2_K571
1091 );
1092
1093 /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1094 CHAR2_CURVE_TEST
1095 (
1096 "NIST curve B-571",
1097 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1098 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1099 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1100 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1101 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1102 1,
1103 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1104 "2",
1105 571,
1106 C2_B571
1107 );
1108
1109 /* more tests using the last curve */
1110
1111 if (!EC_POINT_copy(Q, P)) ABORT;
1112 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1113 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1114 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1115 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1116
1117 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1118 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1119 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1120
1121 {
1122 const EC_POINT *points[3];
1123 const BIGNUM *scalars[3];
1124
1125 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1126 points[0] = Q;
1127 points[1] = Q;
1128 points[2] = Q;
1129
1130 if (!BN_add(y, z, BN_value_one())) ABORT;
1131 if (BN_is_odd(y)) ABORT;
1132 if (!BN_rshift1(y, y)) ABORT;
1133 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1134 scalars[1] = y;
1135
1136 fprintf(stdout, "combined multiplication ...");
1137 fflush(stdout);
1138
1139 /* z is still the group order */
1140 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1141 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1142 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1143 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1144
1145 fprintf(stdout, ".");
1146 fflush(stdout);
1147
1148 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1149 if (!BN_add(z, z, y)) ABORT;
b53e44e5 1150 BN_set_sign(z, 1);
7793f30e
BM		 1151 scalars[0] = y;
1152 scalars[1] = z; /* z = -(order + y) */
1153
1154 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1155 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1156
1157 fprintf(stdout, ".");
1158 fflush(stdout);
1159
1160 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1161 if (!BN_add(z, x, y)) ABORT;
b53e44e5 1162 BN_set_sign(z, 1);
7793f30e
BM		 1163 scalars[0] = x;
1164 scalars[1] = y;
1165 scalars[2] = z; /* z = -(x+y) */
1166
1167 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1168 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1169
1170 fprintf(stdout, " ok\n\n");
1171 }
1172
1173
1174#if 0
652ae06b
BM		 1175 timings(C2_K163, TIMING_BASE_PT, ctx);
1176 timings(C2_K163, TIMING_RAND_PT, ctx);
1177 timings(C2_K163, TIMING_SIMUL, ctx);
1178 timings(C2_B163, TIMING_BASE_PT, ctx);
1179 timings(C2_B163, TIMING_RAND_PT, ctx);
1180 timings(C2_B163, TIMING_SIMUL, ctx);
1181 timings(C2_K233, TIMING_BASE_PT, ctx);
1182 timings(C2_K233, TIMING_RAND_PT, ctx);
1183 timings(C2_K233, TIMING_SIMUL, ctx);
1184 timings(C2_B233, TIMING_BASE_PT, ctx);
1185 timings(C2_B233, TIMING_RAND_PT, ctx);
1186 timings(C2_B233, TIMING_SIMUL, ctx);
1187 timings(C2_K283, TIMING_BASE_PT, ctx);
1188 timings(C2_K283, TIMING_RAND_PT, ctx);
1189 timings(C2_K283, TIMING_SIMUL, ctx);
1190 timings(C2_B283, TIMING_BASE_PT, ctx);
1191 timings(C2_B283, TIMING_RAND_PT, ctx);
1192 timings(C2_B283, TIMING_SIMUL, ctx);
1193 timings(C2_K409, TIMING_BASE_PT, ctx);
1194 timings(C2_K409, TIMING_RAND_PT, ctx);
1195 timings(C2_K409, TIMING_SIMUL, ctx);
1196 timings(C2_B409, TIMING_BASE_PT, ctx);
1197 timings(C2_B409, TIMING_RAND_PT, ctx);
1198 timings(C2_B409, TIMING_SIMUL, ctx);
1199 timings(C2_K571, TIMING_BASE_PT, ctx);
1200 timings(C2_K571, TIMING_RAND_PT, ctx);
1201 timings(C2_K571, TIMING_SIMUL, ctx);
1202 timings(C2_B571, TIMING_BASE_PT, ctx);
1203 timings(C2_B571, TIMING_RAND_PT, ctx);
1204 timings(C2_B571, TIMING_SIMUL, ctx);
7793f30e
BM		 1205#endif
1206
1207
1208 if (ctx)
1209 BN_CTX_free(ctx);
1210 BN_free(p); BN_free(a); BN_free(b);
1211 EC_GROUP_free(group);
1212 EC_POINT_free(P);
1213 EC_POINT_free(Q);
1214 EC_POINT_free(R);
1215 BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1216
1217 if (C2_K163) EC_GROUP_free(C2_K163);
1218 if (C2_B163) EC_GROUP_free(C2_B163);
1219 if (C2_K233) EC_GROUP_free(C2_K233);
1220 if (C2_B233) EC_GROUP_free(C2_B233);
1221 if (C2_K283) EC_GROUP_free(C2_K283);
1222 if (C2_B283) EC_GROUP_free(C2_B283);
1223 if (C2_K409) EC_GROUP_free(C2_K409);
1224 if (C2_B409) EC_GROUP_free(C2_B409);
1225 if (C2_K571) EC_GROUP_free(C2_K571);
1226 if (C2_B571) EC_GROUP_free(C2_B571);
1227
1228 }
1229
d742bd88
BM		 1230void internal_curve_test(void)
1231 {
1232 EC_builtin_curve *curves = NULL;
1233 size_t crv_len = 0, n = 0;
1234 int ok = 1;
1235
1236 crv_len = EC_get_builtin_curves(NULL, 0);
1237
1238 curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1239
1240 if (curves == NULL)
1241 return;
1242
1243 if (!EC_get_builtin_curves(curves, crv_len))
1244 {
1245 OPENSSL_free(curves);
1246 return;
1247 }
1248
1249 fprintf(stdout, "testing internal curves: ");
1250
1251 for (n = 0; n < crv_len; n++)
1252 {
1253 EC_GROUP *group = NULL;
1254 int nid = curves[n].nid;
1255 if ((group = EC_GROUP_new_by_nid(nid)) == NULL)
1256 {
1257 ok = 0;
1258 fprintf(stdout, "\nEC_GROUP_new_by_nid() failed with"
1259 " curve %s\n", OBJ_nid2sn(nid));
1260 /* try next curve */
1261 continue;
1262 }
1263 if (!EC_GROUP_check(group, NULL))
1264 {
1265 ok = 0;
1266 fprintf(stdout, "\nEC_GROUP_check() failed with"
1267 " curve %s\n", OBJ_nid2sn(nid));
1268 EC_GROUP_free(group);
1269 /* try the next curve */
1270 continue;
1271 }
1272 fprintf(stdout, ".");
1273 fflush(stdout);
1274 EC_GROUP_free(group);
1275 }
1276 if (ok)
1277 fprintf(stdout, " ok\n");
1278 else
1279 fprintf(stdout, " failed\n");
1280 OPENSSL_free(curves);
1281 return;
1282 }
1283
7793f30e
BM		 1284static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1285
1286int main(int argc, char *argv[])
1287 {
1288
1289 /* enable memory leak checking unless explicitly disabled */
1290 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1291 {
1292 CRYPTO_malloc_debug_init();
1293 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1294 }
1295 else
1296 {
1297 /* OPENSSL_DEBUG_MEMORY=off */
1298 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1299 }
1300 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1301 ERR_load_crypto_strings();
1302
1303 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1304
1305 prime_field_tests();
848c8495 1306 puts("");
7793f30e 1307 char2_field_tests();
d742bd88
BM		 1308 /* test the internal curves */
1309 internal_curve_test();
7793f30e 1310
0b13e9f0 1311#ifndef OPENSSL_NO_ENGINE
b8e2f83a 1312 ENGINE_cleanup();
0b13e9f0 1313#endif
79aa04ef 1314 CRYPTO_cleanup_all_ex_data();
bb62a8b0
BM		 1315 ERR_free_strings();
1316 ERR_remove_state(0);
1317 CRYPTO_mem_leaks_fp(stderr);
1318
adfe54b7
BM		 1319 return 0;
1320 }
bb62a8b0 1321#endif
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