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First step in fixing "ex_data" support. Warning: big commit log ...
[thirdparty/openssl.git] / crypto / ec / ectest.c
CommitLineData
62763f68
BM		 1/* crypto/ec/ectest.c */
2/* ====================================================================
3 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 *
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
11 *
12 * 2. Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in
14 * the documentation and/or other materials provided with the
15 * distribution.
16 *
17 * 3. All advertising materials mentioning features or use of this
18 * software must display the following acknowledgment:
19 * "This product includes software developed by the OpenSSL Project
20 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
21 *
22 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
23 * endorse or promote products derived from this software without
24 * prior written permission. For written permission, please contact
25 * openssl-core@openssl.org.
26 *
27 * 5. Products derived from this software may not be called "OpenSSL"
28 * nor may "OpenSSL" appear in their names without prior written
29 * permission of the OpenSSL Project.
30 *
31 * 6. Redistributions of any form whatsoever must retain the following
32 * acknowledgment:
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
35 *
36 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
37 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
38 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
39 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
40 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
41 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
42 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
43 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
44 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
45 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
46 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
47 * OF THE POSSIBILITY OF SUCH DAMAGE.
48 * ====================================================================
49 *
50 * This product includes cryptographic software written by Eric Young
51 * (eay@cryptsoft.com). This product includes software written by Tim
52 * Hudson (tjh@cryptsoft.com).
53 *
54 */
55
adfe54b7
BM		 56#include <stdio.h>
57#include <stdlib.h>
413a4a04 58#include <string.h>
48fe4d62 59#include <time.h>
adfe54b7 60
bb62a8b0
BM		 61
62#ifdef OPENSSL_NO_EC
63int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
64#else
65
66
62763f68 67#include <openssl/ec.h>
b8e2f83a 68#include <openssl/engine.h>
adfe54b7
BM		 69#include <openssl/err.h>
70
adfe54b7 71#define ABORT do { \
48fe4d62 72 fflush(stdout); \
bb62a8b0 73 fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
adfe54b7
BM		 74 ERR_print_errors_fp(stderr); \
75 exit(1); \
76} while (0)
77
48fe4d62 78
9c10b2c8 79void timings(EC_GROUP *group, int multi, BN_CTX *ctx)
48fe4d62
BM		 80 {
81 clock_t clck;
82 int i, j;
83 BIGNUM *s, *s0;
84 EC_POINT *P;
48fe4d62
BM		 85
86 s = BN_new();
87 s0 = BN_new();
88 if (s == NULL || s0 == NULL) ABORT;
89
90 if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT;
91 fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s));
92 if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
e44fceda 93 fprintf(stdout, "%d bit scalars ", (int)BN_num_bits(s));
48fe4d62
BM		 94 fflush(stdout);
95
96 P = EC_POINT_new(group);
97 if (P == NULL) ABORT;
98 EC_POINT_copy(P, EC_GROUP_get0_generator(group));
99
48fe4d62
BM		 100 clck = clock();
101 for (i = 0; i < 10; i++)
102 {
103 if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT;
9c10b2c8 104 if (multi)
48fe4d62
BM		 105 {
106 if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT;
107 }
108 for (j = 0; j < 10; j++)
109 {
9c10b2c8 110 if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT;
48fe4d62
BM		 111 }
112 fprintf(stdout, ".");
113 fflush(stdout);
114 }
115 fprintf(stdout, "\n");
116
117 clck = clock() - clck;
118
119#ifdef CLOCKS_PER_SEC
120 /* "To determine the time in seconds, the value returned
121 * by the clock function should be divided by the value
122 * of the macro CLOCKS_PER_SEC."
123 * -- ISO/IEC 9899 */
124# define UNIT "s"
125#else
126 /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
127 * -- cc on NeXTstep/OpenStep */
128# define UNIT "units"
129# define CLOCKS_PER_SEC 1
130#endif
131
132 fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
9c10b2c8 133 multi ? "s*P+t*Q operations" : "point multiplications",
48fe4d62
BM		 134 (double)clck/CLOCKS_PER_SEC);
135 fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
136
137 EC_POINT_free(P);
138 BN_free(s);
139 BN_free(s0);
140 }
141
142
adfe54b7
BM		 143int main(int argc, char *argv[])
144 {
bb62a8b0
BM		 145 BN_CTX *ctx = NULL;
146 BIGNUM *p, *a, *b;
adfe54b7 147 EC_GROUP *group;
48fe4d62 148 EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
bb62a8b0
BM		 149 EC_POINT *P, *Q, *R;
150 BIGNUM *x, *y, *z;
151 unsigned char buf[100];
152 size_t i, len;
63c43dcc 153 int k;
bb62a8b0 154
10654d3a
BM		 155 /* enable memory leak checking unless explicitly disabled */
156 if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
157 {
158 CRYPTO_malloc_debug_init();
159 CRYPTO_dbg_set_options(V_CRYPTO_MDEBUG_ALL);
160 }
bb62a8b0 161 CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
adfe54b7
BM		 162 ERR_load_crypto_strings();
163
48fe4d62 164#if 1 /* optional */
bb62a8b0
BM		 165 ctx = BN_CTX_new();
166 if (!ctx) ABORT;
167#endif
168
169 p = BN_new();
170 a = BN_new();
171 b = BN_new();
172 if (!p || !a || !b) ABORT;
173
42909e39
BM		 174 if (!BN_hex2bn(&p, "17")) ABORT;
175 if (!BN_hex2bn(&a, "1")) ABORT;
176 if (!BN_hex2bn(&b, "1")) ABORT;
bb62a8b0 177
48fe4d62
BM		 178 group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
179 * so that the library gets to choose the EC_METHOD */
adfe54b7 180 if (!group) ABORT;
48fe4d62 181
156e8557 182 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
48fe4d62
BM		 183
184 {
185 EC_GROUP *tmp;
186 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
187 if (!tmp) ABORT;
188 if (!EC_GROUP_copy(tmp, group));
189 EC_GROUP_free(group);
190 group = tmp;
191 }
192
156e8557 193 if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
bb62a8b0
BM		 194
195 fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
196 BN_print_fp(stdout, p);
197 fprintf(stdout, ")\n a = 0x");
198 BN_print_fp(stdout, a);
199 fprintf(stdout, "\n b = 0x");
200 BN_print_fp(stdout, b);
201 fprintf(stdout, "\n");
202
203 P = EC_POINT_new(group);
204 Q = EC_POINT_new(group);
205 R = EC_POINT_new(group);
206 if (!P || !Q || !R) ABORT;
207
208 if (!EC_POINT_set_to_infinity(group, P)) ABORT;
209 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
210
211 buf[0] = 0;
212 if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
213
214 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
215 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
216
217 x = BN_new();
218 y = BN_new();
219 z = BN_new();
220 if (!x || !y || !z) ABORT;
221
42909e39 222 if (!BN_hex2bn(&x, "D")) ABORT;
bb62a8b0
BM		 223 if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
224 if (!EC_POINT_is_on_curve(group, Q, ctx))
225 {
156e8557
BM		 226 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
227 fprintf(stderr, "Point is not on curve: x = 0x");
bb62a8b0 228 BN_print_fp(stderr, x);
156e8557
BM		 229 fprintf(stderr, ", y = 0x");
230 BN_print_fp(stderr, y);
bb62a8b0
BM		 231 fprintf(stderr, "\n");
232 ABORT;
233 }
234
235 fprintf(stdout, "A cyclic subgroup:\n");
63c43dcc 236 k = 100;
bb62a8b0
BM		 237 do
238 {
63c43dcc
BM		 239 if (k-- == 0) ABORT;
240
bb62a8b0
BM		 241 if (EC_POINT_is_at_infinity(group, P))
242 fprintf(stdout, " point at infinity\n");
243 else
244 {
245 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
246
247 fprintf(stdout, " x = 0x");
248 BN_print_fp(stdout, x);
249 fprintf(stdout, ", y = 0x");
250 BN_print_fp(stdout, y);
251 fprintf(stdout, "\n");
252 }
253
254 if (!EC_POINT_copy(R, P)) ABORT;
255 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
256
257#if 0 /* optional */
48fe4d62
BM		 258 {
259 EC_POINT *points[3];
260
261 points[0] = R;
262 points[1] = Q;
263 points[2] = P;
264 if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
265 }
adfe54b7 266#endif
48fe4d62 267
bb62a8b0
BM		 268 }
269 while (!EC_POINT_is_at_infinity(group, P));
270
271 if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
272 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
adfe54b7 273
bb62a8b0
BM		 274 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
275 if (len == 0) ABORT;
276 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
277 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
278 fprintf(stdout, "Generator as octect string, compressed form:\n ");
279 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
280
281 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
282 if (len == 0) ABORT;
283 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
284 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
285 fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n ");
286 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
287
288 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
289 if (len == 0) ABORT;
290 if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
291 if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
292 fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
293 for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
294
295 if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
296 fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
297 BN_print_fp(stdout, x);
298 fprintf(stdout, ", Y = 0x");
299 BN_print_fp(stdout, y);
300 fprintf(stdout, ", Z = 0x");
301 BN_print_fp(stdout, z);
302 fprintf(stdout, "\n");
303
304 if (!EC_POINT_invert(group, P, ctx)) ABORT;
305 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
306
48fe4d62
BM		 307
308 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
309
310 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
311 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
312 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
313 if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
314 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
315
316 if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
317 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
318 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
319 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
320 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
321
322 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
323 fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
324 BN_print_fp(stdout, x);
325 fprintf(stdout, "\n y = 0x");
326 BN_print_fp(stdout, y);
327 fprintf(stdout, "\n");
328 /* G_y value taken from the standard: */
329 if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
330 if (0 != BN_cmp(y, z)) ABORT;
331
38374911 332 fprintf(stdout, "verify group order ...");
616df356 333 fflush(stdout);
48fe4d62 334 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911
BM		 335 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
336 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
337 fprintf(stdout, ".");
338 fflush(stdout);
194dd046 339 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911 340 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 341 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911 342 fprintf(stdout, " ok\n");
48fe4d62
BM		 343
344 if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
345 if (!EC_GROUP_copy(P_192, group)) ABORT;
346
347
348 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
349
350 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
351 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
352 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
353 if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
354 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
355
356 if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
357 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
358 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
359 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
360 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
361
362 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
363 fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
364 BN_print_fp(stdout, x);
365 fprintf(stdout, "\n y = 0x");
366 BN_print_fp(stdout, y);
367 fprintf(stdout, "\n");
368 /* G_y value taken from the standard: */
369 if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
370 if (0 != BN_cmp(y, z)) ABORT;
371
38374911 372 fprintf(stdout, "verify group order ...");
616df356 373 fflush(stdout);
48fe4d62 374 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 375 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 376 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 377 fprintf(stdout, ".");
378 fflush(stdout);
194dd046 379 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 380 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
381 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
382 fprintf(stdout, " ok\n");
383
48fe4d62
BM		 384 if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
385 if (!EC_GROUP_copy(P_224, group)) ABORT;
386
387
388 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
389
390 if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
391 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
392 if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
393 if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
394 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
395
396 if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
397 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
398 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
399 if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
400 "84F3B9CAC2FC632551")) ABORT;
401 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
402
403 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
404 fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
405 BN_print_fp(stdout, x);
406 fprintf(stdout, "\n y = 0x");
407 BN_print_fp(stdout, y);
408 fprintf(stdout, "\n");
409 /* G_y value taken from the standard: */
410 if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
411 if (0 != BN_cmp(y, z)) ABORT;
412
38374911 413 fprintf(stdout, "verify group order ...");
616df356 414 fflush(stdout);
48fe4d62 415 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 416 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 417 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 418 fprintf(stdout, ".");
419 fflush(stdout);
194dd046 420 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 421 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
422 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
423 fprintf(stdout, " ok\n");
424
48fe4d62
BM		 425 if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
426 if (!EC_GROUP_copy(P_256, group)) ABORT;
427
428
429 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
430
431 if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
432 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
433 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
434 if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
435 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
436 if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
437 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
438 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
439
440 if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
441 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
442 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
443 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
444 if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
445 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
446 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
447
448 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
449 fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
450 BN_print_fp(stdout, x);
451 fprintf(stdout, "\n y = 0x");
452 BN_print_fp(stdout, y);
453 fprintf(stdout, "\n");
454 /* G_y value taken from the standard: */
455 if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
456 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
457 if (0 != BN_cmp(y, z)) ABORT;
458
38374911 459 fprintf(stdout, "verify group order ...");
616df356 460 fflush(stdout);
48fe4d62 461 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911 462 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 463 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 464 fprintf(stdout, ".");
465 fflush(stdout);
194dd046 466 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911
BM		 467 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
468 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
469 fprintf(stdout, " ok\n");
470
48fe4d62
BM		 471 if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
472 if (!EC_GROUP_copy(P_384, group)) ABORT;
473
474
475 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
476
477 if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
478 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
479 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
480 if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
481 if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
482 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
483 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
484 if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
485 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
486 "DF883D2C34F1EF451FD46B503F00")) ABORT;
487 if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
488
489 if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
490 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
491 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
492 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
493 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
494 if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
495 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
496 "C9B8899C47AEBB6FB71E91386409")) ABORT;
497 if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
498
499 if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
500 fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
501 BN_print_fp(stdout, x);
502 fprintf(stdout, "\n y = 0x");
503 BN_print_fp(stdout, y);
504 fprintf(stdout, "\n");
505 /* G_y value taken from the standard: */
506 if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
507 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
508 "7086A272C24088BE94769FD16650")) ABORT;
509 if (0 != BN_cmp(y, z)) ABORT;
510
38374911 511 fprintf(stdout, "verify group order ...");
616df356 512 fflush(stdout);
48fe4d62 513 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
38374911
BM		 514 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
515 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
516 fprintf(stdout, ".");
517 fflush(stdout);
194dd046 518 if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
38374911 519 if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
48fe4d62 520 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911 521 fprintf(stdout, " ok\n");
48fe4d62
BM		 522
523 if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
524 if (!EC_GROUP_copy(P_521, group)) ABORT;
525
526
527 /* more tests using the last curve */
528
529 if (!EC_POINT_copy(Q, P)) ABORT;
530 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
531 if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
532 if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
533 if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
534
535 if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
536 if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
537 if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
538
539 {
38374911
BM		 540 const EC_POINT *points[3];
541 const BIGNUM *scalars[3];
48fe4d62
BM		 542
543 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
38374911
BM		 544 points[0] = Q;
545 points[1] = Q;
546 points[2] = Q;
48fe4d62
BM		 547
548 if (!BN_add(y, z, BN_value_one())) ABORT;
549 if (BN_is_odd(y)) ABORT;
550 if (!BN_rshift1(y, y)) ABORT;
48fe4d62
BM		 551 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
552 scalars[1] = y;
553
9c10b2c8 554 fprintf(stdout, "combined multiplication ...");
616df356 555 fflush(stdout);
48fe4d62
BM		 556
557 /* z is still the group order */
558 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
559 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
560 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
561 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
562
86a921af
BM		 563 fprintf(stdout, ".");
564 fflush(stdout);
565
566 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
567 if (!BN_copy(z, y)) ABORT;
568 z->neg = 1;
86a921af 569 scalars[0] = y;
38374911 570 scalars[1] = z; /* z = -y */
86a921af
BM		 571
572 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
573 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
574
38374911
BM		 575 fprintf(stdout, ".");
576 fflush(stdout);
577
578 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
579 if (!BN_add(z, x, y)) ABORT;
580 z->neg = 1;
581 scalars[0] = x;
582 scalars[1] = y;
583 scalars[2] = z; /* z = -(x+y) */
584
585 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
586 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
587
86a921af 588 fprintf(stdout, " ok\n\n");
48fe4d62
BM		 589 }
590
591
6017e604 592#if 0
48fe4d62
BM		 593 timings(P_192, 0, ctx);
594 timings(P_192, 1, ctx);
e44fceda
BM		 595 timings(P_224, 0, ctx);
596 timings(P_224, 1, ctx);
597 timings(P_256, 0, ctx);
598 timings(P_256, 1, ctx);
599 timings(P_384, 0, ctx);
600 timings(P_384, 1, ctx);
601 timings(P_521, 0, ctx);
602 timings(P_521, 1, ctx);
48fe4d62
BM		 603#endif
604
bb62a8b0
BM		 605
606 if (ctx)
607 BN_CTX_free(ctx);
608 BN_free(p); BN_free(a); BN_free(b);
609 EC_GROUP_free(group);
610 EC_POINT_free(P);
611 EC_POINT_free(Q);
612 EC_POINT_free(R);
613 BN_free(x); BN_free(y); BN_free(z);
614
48fe4d62
BM		 615 if (P_192) EC_GROUP_free(P_192);
616 if (P_224) EC_GROUP_free(P_224);
617 if (P_256) EC_GROUP_free(P_256);
618 if (P_384) EC_GROUP_free(P_384);
619 if (P_521) EC_GROUP_free(P_521);
620
b8e2f83a 621 ENGINE_cleanup();
bb62a8b0
BM		 622 ERR_free_strings();
623 ERR_remove_state(0);
624 CRYPTO_mem_leaks_fp(stderr);
625
adfe54b7
BM		 626 return 0;
627 }
bb62a8b0 628#endif
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