Fix strange formatting by indent
[openssl.git] / crypto / ec / ectest.c
1 /* crypto/ec/ectest.c */
2 /*
3  * Originally written by Bodo Moeller for the OpenSSL project.
4  */
5 /* ====================================================================
6  * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  *
12  * 1. Redistributions of source code must retain the above copyright
13  *    notice, this list of conditions and the following disclaimer. 
14  *
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in
17  *    the documentation and/or other materials provided with the
18  *    distribution.
19  *
20  * 3. All advertising materials mentioning features or use of this
21  *    software must display the following acknowledgment:
22  *    "This product includes software developed by the OpenSSL Project
23  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24  *
25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26  *    endorse or promote products derived from this software without
27  *    prior written permission. For written permission, please contact
28  *    openssl-core@openssl.org.
29  *
30  * 5. Products derived from this software may not be called "OpenSSL"
31  *    nor may "OpenSSL" appear in their names without prior written
32  *    permission of the OpenSSL Project.
33  *
34  * 6. Redistributions of any form whatsoever must retain the following
35  *    acknowledgment:
36  *    "This product includes software developed by the OpenSSL Project
37  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38  *
39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50  * OF THE POSSIBILITY OF SUCH DAMAGE.
51  * ====================================================================
52  *
53  * This product includes cryptographic software written by Eric Young
54  * (eay@cryptsoft.com).  This product includes software written by Tim
55  * Hudson (tjh@cryptsoft.com).
56  *
57  */
58 /* ====================================================================
59  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60  *
61  * Portions of the attached software ("Contribution") are developed by 
62  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63  *
64  * The Contribution is licensed pursuant to the OpenSSL open source
65  * license provided above.
66  *
67  * The elliptic curve binary polynomial software is originally written by 
68  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69  *
70  */
71
72 #include <stdio.h>
73 #include <stdlib.h>
74 #ifdef FLAT_INC
75 #include "e_os.h"
76 #else
77 #include "../e_os.h"
78 #endif
79 #include <string.h>
80 #include <time.h>
81
82
83 #ifdef OPENSSL_NO_EC
84 int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
85 #else
86
87
88 #include <openssl/ec.h>
89 #ifndef OPENSSL_NO_ENGINE
90 #include <openssl/engine.h>
91 #endif
92 #include <openssl/err.h>
93 #include <openssl/obj_mac.h>
94 #include <openssl/objects.h>
95 #include <openssl/rand.h>
96 #include <openssl/bn.h>
97 #include <openssl/opensslconf.h>
98
99 #if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
100 /* suppress "too big too optimize" warning */
101 #pragma warning(disable:4959)
102 #endif
103
104 #define ABORT do { \
105         fflush(stdout); \
106         fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
107         ERR_print_errors_fp(stderr); \
108         EXIT(1); \
109 } while (0)
110
111 #define TIMING_BASE_PT 0
112 #define TIMING_RAND_PT 1
113 #define TIMING_SIMUL 2
114
115 #if 0
116 static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
117         {
118         clock_t clck;
119         int i, j;
120         BIGNUM *s;
121         BIGNUM *r[10], *r0[10];
122         EC_POINT *P;
123                 
124         s = BN_new();
125         if (s == NULL) ABORT;
126
127         fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
128         if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
129         fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
130         fflush(stdout);
131
132         P = EC_POINT_new(group);
133         if (P == NULL) ABORT;
134         EC_POINT_copy(P, EC_GROUP_get0_generator(group));
135
136         for (i = 0; i < 10; i++)
137                 {
138                 if ((r[i] = BN_new()) == NULL) ABORT;
139                 if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
140                 if (type != TIMING_BASE_PT)
141                         {
142                         if ((r0[i] = BN_new()) == NULL) ABORT;
143                         if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
144                         }
145                 }
146
147         clck = clock();
148         for (i = 0; i < 10; i++)
149                 {
150                 for (j = 0; j < 10; j++)
151                         {
152                         if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL, 
153                                 (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
154                         }
155                 }
156         clck = clock() - clck;
157
158         fprintf(stdout, "\n");
159
160 #ifdef CLOCKS_PER_SEC
161         /* "To determine the time in seconds, the value returned
162          * by the clock function should be divided by the value
163          * of the macro CLOCKS_PER_SEC."
164          *                                       -- ISO/IEC 9899 */
165 #       define UNIT "s"
166 #else
167 #       define UNIT "units"
168 #       define CLOCKS_PER_SEC 1
169 #endif
170
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         }
181         fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
182
183         EC_POINT_free(P);
184         BN_free(s);
185         for (i = 0; i < 10; i++)
186                 {
187                 BN_free(r[i]);
188                 if (type != TIMING_BASE_PT) BN_free(r0[i]);
189                 }
190         }
191 #endif
192
193 /* test multiplication with group order, long and negative scalars */
194 static void group_order_tests(EC_GROUP *group)
195         {
196         BIGNUM *n1, *n2, *order;
197         EC_POINT *P = EC_POINT_new(group);
198         EC_POINT *Q = EC_POINT_new(group);
199         BN_CTX *ctx = BN_CTX_new();
200         int i;
201
202         n1 = BN_new(); n2 = BN_new(); order = BN_new();
203         fprintf(stdout, "verify group order ...");
204         fflush(stdout);
205         if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
206         if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
207         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
208         fprintf(stdout, ".");
209         fflush(stdout);
210         if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
211         if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
212         if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
213         fprintf(stdout, " ok\n");
214         fprintf(stdout, "long/negative scalar tests ");
215         for (i = 1; i <= 2; i++)
216                 {
217                 const BIGNUM *scalars[6];
218                 const EC_POINT *points[6];
219
220                 fprintf(stdout, i == 1 ?
221                         "allowing precomputation ... " :
222                         "without precomputation ... ");
223                 if (!BN_set_word(n1, i)) ABORT;
224                 /* If i == 1, P will be the predefined generator for which
225                  * EC_GROUP_precompute_mult has set up precomputation. */
226                 if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) ABORT;
227
228                 if (!BN_one(n1)) ABORT;
229                 /* n1 = 1 - order */
230                 if (!BN_sub(n1, n1, order)) ABORT;
231                 if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
232                 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
233
234                 /* n2 = 1 + order */
235                 if (!BN_add(n2, order, BN_value_one())) ABORT;
236                 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
237                 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
238
239                 /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
240                 if (!BN_mul(n2, n1, n2, ctx)) ABORT;
241                 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
242                 if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
243
244                 /* n2 = order^2 - 1 */
245                 BN_set_negative(n2, 0);
246                 if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
247                 /* Add P to verify the result. */
248                 if (!EC_POINT_add(group, Q, Q, P, ctx)) ABORT;
249                 if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
250
251                 /* Exercise EC_POINTs_mul, including corner cases. */
252                 if (EC_POINT_is_at_infinity(group, P)) ABORT;
253                 scalars[0] = n1; points[0] = Q; /* => infinity */
254                 scalars[1] = n2; points[1] = P; /* => -P */
255                 scalars[2] = n1; points[2] = Q; /* => infinity */
256                 scalars[3] = n2; points[3] = Q; /* => infinity */
257                 scalars[4] = n1; points[4] = P; /* => P */
258                 scalars[5] = n2; points[5] = Q; /* => infinity */
259                 if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) ABORT;
260                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
261                 }
262         fprintf(stdout, "ok\n");
263
264         EC_POINT_free(P);
265         EC_POINT_free(Q);
266         BN_free(n1);
267         BN_free(n2);
268         BN_free(order);
269         BN_CTX_free(ctx);
270         }
271
272 static void prime_field_tests(void)
273         {
274         BN_CTX *ctx = NULL;
275         BIGNUM *p, *a, *b;
276         EC_GROUP *group;
277         EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
278         EC_POINT *P, *Q, *R;
279         BIGNUM *x, *y, *z;
280         unsigned char buf[100];
281         size_t i, len;
282         int k;
283         
284 #if 1 /* optional */
285         ctx = BN_CTX_new();
286         if (!ctx) ABORT;
287 #endif
288
289         p = BN_new();
290         a = BN_new();
291         b = BN_new();
292         if (!p || !a || !b) ABORT;
293
294         if (!BN_hex2bn(&p, "17")) ABORT;
295         if (!BN_hex2bn(&a, "1")) ABORT;
296         if (!BN_hex2bn(&b, "1")) ABORT;
297         
298         group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
299                                                      * so that the library gets to choose the EC_METHOD */
300         if (!group) ABORT;
301
302         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
303
304         {
305                 EC_GROUP *tmp;
306                 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
307                 if (!tmp) ABORT;
308                 if (!EC_GROUP_copy(tmp, group)) ABORT;
309                 EC_GROUP_free(group);
310                 group = tmp;
311         }
312         
313         if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
314
315         fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
316         BN_print_fp(stdout, p);
317         fprintf(stdout, ")\n     a = 0x");
318         BN_print_fp(stdout, a);
319         fprintf(stdout, "\n     b = 0x");
320         BN_print_fp(stdout, b);
321         fprintf(stdout, "\n");
322
323         P = EC_POINT_new(group);
324         Q = EC_POINT_new(group);
325         R = EC_POINT_new(group);
326         if (!P || !Q || !R) ABORT;
327         
328         if (!EC_POINT_set_to_infinity(group, P)) ABORT;
329         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
330
331         buf[0] = 0;
332         if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
333
334         if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
335         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
336
337         x = BN_new();
338         y = BN_new();
339         z = BN_new();
340         if (!x || !y || !z) ABORT;
341
342         if (!BN_hex2bn(&x, "D")) ABORT;
343         if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
344         if (!EC_POINT_is_on_curve(group, Q, ctx))
345                 {
346                 if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
347                 fprintf(stderr, "Point is not on curve: x = 0x");
348                 BN_print_fp(stderr, x);
349                 fprintf(stderr, ", y = 0x");
350                 BN_print_fp(stderr, y);
351                 fprintf(stderr, "\n");
352                 ABORT;
353                 }
354
355         fprintf(stdout, "A cyclic subgroup:\n");
356         k = 100;
357         do
358                 {
359                 if (k-- == 0) ABORT;
360
361                 if (EC_POINT_is_at_infinity(group, P))
362                         fprintf(stdout, "     point at infinity\n");
363                 else
364                         {
365                         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
366
367                         fprintf(stdout, "     x = 0x");
368                         BN_print_fp(stdout, x);
369                         fprintf(stdout, ", y = 0x");
370                         BN_print_fp(stdout, y);
371                         fprintf(stdout, "\n");
372                         }
373                 
374                 if (!EC_POINT_copy(R, P)) ABORT;
375                 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
376
377 #if 0 /* optional */
378                 {
379                         EC_POINT *points[3];
380                 
381                         points[0] = R;
382                         points[1] = Q;
383                         points[2] = P;
384                         if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
385                 }
386 #endif
387
388                 }
389         while (!EC_POINT_is_at_infinity(group, P));
390
391         if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
392         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
393
394         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
395         if (len == 0) ABORT;
396         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
397         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
398         fprintf(stdout, "Generator as octet string, compressed form:\n     ");
399         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
400         
401         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
402         if (len == 0) ABORT;
403         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
404         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
405         fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
406         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
407         
408         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
409         if (len == 0) ABORT;
410         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
411         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
412         fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
413         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
414         
415         if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
416         fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
417         BN_print_fp(stdout, x);
418         fprintf(stdout, ", Y = 0x");
419         BN_print_fp(stdout, y);
420         fprintf(stdout, ", Z = 0x");
421         BN_print_fp(stdout, z);
422         fprintf(stdout, "\n");
423
424         if (!EC_POINT_invert(group, P, ctx)) ABORT;
425         if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
426
427
428         /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
429          * -- not a NIST curve, but commonly used */
430         
431         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
432         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
433         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
434         if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
435         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
436
437         if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
438         if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
439         if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
440         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
441         if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
442         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
443
444         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
445         fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
446         BN_print_fp(stdout, x);
447         fprintf(stdout, "\n     y = 0x");
448         BN_print_fp(stdout, y);
449         fprintf(stdout, "\n");
450         /* G_y value taken from the standard: */
451         if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
452         if (0 != BN_cmp(y, z)) ABORT;
453
454         fprintf(stdout, "verify degree ...");
455         if (EC_GROUP_get_degree(group) != 160) ABORT;
456         fprintf(stdout, " ok\n");
457         
458         group_order_tests(group);
459
460         if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
461         if (!EC_GROUP_copy(P_160, group)) ABORT;
462
463
464         /* Curve P-192 (FIPS PUB 186-2, App. 6) */
465         
466         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
467         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
468         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
469         if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
470         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
471
472         if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
473         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
474         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
475         if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
476         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
477
478         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
479         fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
480         BN_print_fp(stdout, x);
481         fprintf(stdout, "\n     y = 0x");
482         BN_print_fp(stdout, y);
483         fprintf(stdout, "\n");
484         /* G_y value taken from the standard: */
485         if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
486         if (0 != BN_cmp(y, z)) ABORT;
487
488         fprintf(stdout, "verify degree ...");
489         if (EC_GROUP_get_degree(group) != 192) ABORT;
490         fprintf(stdout, " ok\n");
491         
492         group_order_tests(group);
493
494         if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
495         if (!EC_GROUP_copy(P_192, group)) ABORT;
496
497
498         /* Curve P-224 (FIPS PUB 186-2, App. 6) */
499         
500         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
501         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
502         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
503         if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
504         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
505
506         if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
507         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
508         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
509         if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
510         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
511
512         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
513         fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
514         BN_print_fp(stdout, x);
515         fprintf(stdout, "\n     y = 0x");
516         BN_print_fp(stdout, y);
517         fprintf(stdout, "\n");
518         /* G_y value taken from the standard: */
519         if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
520         if (0 != BN_cmp(y, z)) ABORT;
521         
522         fprintf(stdout, "verify degree ...");
523         if (EC_GROUP_get_degree(group) != 224) ABORT;
524         fprintf(stdout, " ok\n");
525         
526         group_order_tests(group);
527
528         if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
529         if (!EC_GROUP_copy(P_224, group)) ABORT;
530
531
532         /* Curve P-256 (FIPS PUB 186-2, App. 6) */
533         
534         if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
535         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
536         if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
537         if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
538         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
539
540         if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) 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, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
544                 "84F3B9CAC2FC632551")) 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-256 -- 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, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
555         if (0 != BN_cmp(y, z)) ABORT;
556         
557         fprintf(stdout, "verify degree ...");
558         if (EC_GROUP_get_degree(group) != 256) ABORT;
559         fprintf(stdout, " ok\n");
560         
561         group_order_tests(group);
562
563         if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
564         if (!EC_GROUP_copy(P_256, group)) ABORT;
565
566
567         /* Curve P-384 (FIPS PUB 186-2, App. 6) */
568         
569         if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
570                 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
571         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
572         if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
573                 "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
574         if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
575                 "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
576         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
577
578         if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
579                 "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
580         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
581         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
582         if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
583                 "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
584         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
585
586         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
587         fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
588         BN_print_fp(stdout, x);
589         fprintf(stdout, "\n     y = 0x");
590         BN_print_fp(stdout, y);
591         fprintf(stdout, "\n");
592         /* G_y value taken from the standard: */
593         if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
594                 "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
595         if (0 != BN_cmp(y, z)) ABORT;
596         
597         fprintf(stdout, "verify degree ...");
598         if (EC_GROUP_get_degree(group) != 384) ABORT;
599         fprintf(stdout, " ok\n");
600
601         group_order_tests(group);
602
603         if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
604         if (!EC_GROUP_copy(P_384, group)) ABORT;
605
606
607         /* Curve P-521 (FIPS PUB 186-2, App. 6) */
608         
609         if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
610                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
611                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
612         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
613         if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
614                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
615                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
616         if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
617                 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
618                 "DF883D2C34F1EF451FD46B503F00")) ABORT;
619         if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
620
621         if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
622                 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
623                 "3C1856A429BF97E7E31C2E5BD66")) ABORT;
624         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
625         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
626         if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
627                 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
628                 "C9B8899C47AEBB6FB71E91386409")) ABORT;
629         if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
630
631         if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
632         fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
633         BN_print_fp(stdout, x);
634         fprintf(stdout, "\n     y = 0x");
635         BN_print_fp(stdout, y);
636         fprintf(stdout, "\n");
637         /* G_y value taken from the standard: */
638         if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
639                 "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
640                 "7086A272C24088BE94769FD16650")) ABORT;
641         if (0 != BN_cmp(y, z)) ABORT;
642         
643         fprintf(stdout, "verify degree ...");
644         if (EC_GROUP_get_degree(group) != 521) ABORT;
645         fprintf(stdout, " ok\n");
646
647         group_order_tests(group);
648
649         if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
650         if (!EC_GROUP_copy(P_521, group)) ABORT;
651
652
653         /* more tests using the last curve */
654
655         if (!EC_POINT_copy(Q, P)) ABORT;
656         if (EC_POINT_is_at_infinity(group, Q)) ABORT;
657         if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
658         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
659         if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
660
661         if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
662         if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
663         if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
664
665         {
666                 const EC_POINT *points[4];
667                 const BIGNUM *scalars[4];
668                 BIGNUM *scalar3;
669         
670                 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
671                 points[0] = Q;
672                 points[1] = Q;
673                 points[2] = Q;
674                 points[3] = Q;
675
676                 if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
677                 if (!BN_add(y, z, BN_value_one())) ABORT;
678                 if (BN_is_odd(y)) ABORT;
679                 if (!BN_rshift1(y, y)) ABORT;
680                 scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
681                 scalars[1] = y;
682
683                 fprintf(stdout, "combined multiplication ...");
684                 fflush(stdout);
685
686                 /* z is still the group order */
687                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
688                 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
689                 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
690                 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
691
692                 fprintf(stdout, ".");
693                 fflush(stdout);
694
695                 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
696                 if (!BN_add(z, z, y)) ABORT;
697                 BN_set_negative(z, 1);
698                 scalars[0] = y;
699                 scalars[1] = z; /* z = -(order + y) */
700
701                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
702                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
703
704                 fprintf(stdout, ".");
705                 fflush(stdout);
706
707                 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
708                 if (!BN_add(z, x, y)) ABORT;
709                 BN_set_negative(z, 1);
710                 scalars[0] = x;
711                 scalars[1] = y;
712                 scalars[2] = z; /* z = -(x+y) */
713
714                 scalar3 = BN_new();
715                 if(!scalar3) ABORT;
716                 BN_zero(scalar3);
717                 scalars[3] = scalar3;
718
719                 if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
720                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
721
722                 fprintf(stdout, " ok\n\n");
723
724                 BN_free(scalar3);
725         }
726
727
728 #if 0
729         timings(P_160, TIMING_BASE_PT, ctx);
730         timings(P_160, TIMING_RAND_PT, ctx);
731         timings(P_160, TIMING_SIMUL, ctx);
732         timings(P_192, TIMING_BASE_PT, ctx);
733         timings(P_192, TIMING_RAND_PT, ctx);
734         timings(P_192, TIMING_SIMUL, ctx);
735         timings(P_224, TIMING_BASE_PT, ctx);
736         timings(P_224, TIMING_RAND_PT, ctx);
737         timings(P_224, TIMING_SIMUL, ctx);
738         timings(P_256, TIMING_BASE_PT, ctx);
739         timings(P_256, TIMING_RAND_PT, ctx);
740         timings(P_256, TIMING_SIMUL, ctx);
741         timings(P_384, TIMING_BASE_PT, ctx);
742         timings(P_384, TIMING_RAND_PT, ctx);
743         timings(P_384, TIMING_SIMUL, ctx);
744         timings(P_521, TIMING_BASE_PT, ctx);
745         timings(P_521, TIMING_RAND_PT, ctx);
746         timings(P_521, TIMING_SIMUL, ctx);
747 #endif
748
749
750         if (ctx)
751                 BN_CTX_free(ctx);
752         BN_free(p); BN_free(a); BN_free(b);
753         EC_GROUP_free(group);
754         EC_POINT_free(P);
755         EC_POINT_free(Q);
756         EC_POINT_free(R);
757         BN_free(x); BN_free(y); BN_free(z);
758
759         if (P_160) EC_GROUP_free(P_160);
760         if (P_192) EC_GROUP_free(P_192);
761         if (P_224) EC_GROUP_free(P_224);
762         if (P_256) EC_GROUP_free(P_256);
763         if (P_384) EC_GROUP_free(P_384);
764         if (P_521) EC_GROUP_free(P_521);
765
766         }
767
768 /* Change test based on whether binary point compression is enabled or not. */
769 #ifdef OPENSSL_EC_BIN_PT_COMP
770 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
771         if (!BN_hex2bn(&x, _x)) ABORT; \
772         if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
773         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
774         if (!BN_hex2bn(&z, _order)) ABORT; \
775         if (!BN_hex2bn(&cof, _cof)) ABORT; \
776         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
777         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
778         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
779         BN_print_fp(stdout, x); \
780         fprintf(stdout, "\n     y = 0x"); \
781         BN_print_fp(stdout, y); \
782         fprintf(stdout, "\n"); \
783         /* G_y value taken from the standard: */ \
784         if (!BN_hex2bn(&z, _y)) ABORT; \
785         if (0 != BN_cmp(y, z)) ABORT;
786 #else 
787 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
788         if (!BN_hex2bn(&x, _x)) ABORT; \
789         if (!BN_hex2bn(&y, _y)) ABORT; \
790         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
791         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
792         if (!BN_hex2bn(&z, _order)) ABORT; \
793         if (!BN_hex2bn(&cof, _cof)) ABORT; \
794         if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
795         fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
796         BN_print_fp(stdout, x); \
797         fprintf(stdout, "\n     y = 0x"); \
798         BN_print_fp(stdout, y); \
799         fprintf(stdout, "\n");
800 #endif
801
802 #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
803         if (!BN_hex2bn(&p, _p)) ABORT; \
804         if (!BN_hex2bn(&a, _a)) ABORT; \
805         if (!BN_hex2bn(&b, _b)) ABORT; \
806         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
807         CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
808         fprintf(stdout, "verify degree ..."); \
809         if (EC_GROUP_get_degree(group) != _degree) ABORT; \
810         fprintf(stdout, " ok\n"); \
811         group_order_tests(group); \
812         if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
813         if (!EC_GROUP_copy(_variable, group)) ABORT; \
814
815 #ifndef OPENSSL_NO_EC2M
816
817 static void char2_field_tests(void)
818         {
819         BN_CTX *ctx = NULL;
820         BIGNUM *p, *a, *b;
821         EC_GROUP *group;
822         EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
823         EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
824         EC_POINT *P, *Q, *R;
825         BIGNUM *x, *y, *z, *cof;
826         unsigned char buf[100];
827         size_t i, len;
828         int k;
829         
830 #if 1 /* optional */
831         ctx = BN_CTX_new();
832         if (!ctx) ABORT;
833 #endif
834
835         p = BN_new();
836         a = BN_new();
837         b = BN_new();
838         if (!p || !a || !b) ABORT;
839
840         if (!BN_hex2bn(&p, "13")) ABORT;
841         if (!BN_hex2bn(&a, "3")) ABORT;
842         if (!BN_hex2bn(&b, "1")) ABORT;
843         
844         group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
845                                                         * so that the library gets to choose the EC_METHOD */
846         if (!group) ABORT;
847         if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
848
849         {
850                 EC_GROUP *tmp;
851                 tmp = EC_GROUP_new(EC_GROUP_method_of(group));
852                 if (!tmp) ABORT;
853                 if (!EC_GROUP_copy(tmp, group)) ABORT;
854                 EC_GROUP_free(group);
855                 group = tmp;
856         }
857         
858         if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
859
860         fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
861         BN_print_fp(stdout, p);
862         fprintf(stdout, ")\n     a = 0x");
863         BN_print_fp(stdout, a);
864         fprintf(stdout, "\n     b = 0x");
865         BN_print_fp(stdout, b);
866         fprintf(stdout, "\n(0x... means binary polynomial)\n");
867
868         P = EC_POINT_new(group);
869         Q = EC_POINT_new(group);
870         R = EC_POINT_new(group);
871         if (!P || !Q || !R) ABORT;
872         
873         if (!EC_POINT_set_to_infinity(group, P)) ABORT;
874         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
875
876         buf[0] = 0;
877         if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
878
879         if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
880         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
881
882         x = BN_new();
883         y = BN_new();
884         z = BN_new();
885         cof = BN_new();
886         if (!x || !y || !z || !cof) ABORT;
887
888         if (!BN_hex2bn(&x, "6")) ABORT;
889 /* Change test based on whether binary point compression is enabled or not. */
890 #ifdef OPENSSL_EC_BIN_PT_COMP
891         if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
892 #else
893         if (!BN_hex2bn(&y, "8")) ABORT;
894         if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
895 #endif
896         if (!EC_POINT_is_on_curve(group, Q, ctx))
897                 {
898 /* Change test based on whether binary point compression is enabled or not. */
899 #ifdef OPENSSL_EC_BIN_PT_COMP
900                 if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
901 #endif
902                 fprintf(stderr, "Point is not on curve: x = 0x");
903                 BN_print_fp(stderr, x);
904                 fprintf(stderr, ", y = 0x");
905                 BN_print_fp(stderr, y);
906                 fprintf(stderr, "\n");
907                 ABORT;
908                 }
909
910         fprintf(stdout, "A cyclic subgroup:\n");
911         k = 100;
912         do
913                 {
914                 if (k-- == 0) ABORT;
915
916                 if (EC_POINT_is_at_infinity(group, P))
917                         fprintf(stdout, "     point at infinity\n");
918                 else
919                         {
920                         if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
921
922                         fprintf(stdout, "     x = 0x");
923                         BN_print_fp(stdout, x);
924                         fprintf(stdout, ", y = 0x");
925                         BN_print_fp(stdout, y);
926                         fprintf(stdout, "\n");
927                         }
928                 
929                 if (!EC_POINT_copy(R, P)) ABORT;
930                 if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
931                 }
932         while (!EC_POINT_is_at_infinity(group, P));
933
934         if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
935         if (!EC_POINT_is_at_infinity(group, P)) ABORT;
936
937 /* Change test based on whether binary point compression is enabled or not. */
938 #ifdef OPENSSL_EC_BIN_PT_COMP
939         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
940         if (len == 0) ABORT;
941         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
942         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
943         fprintf(stdout, "Generator as octet string, compressed form:\n     ");
944         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
945 #endif
946         
947         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
948         if (len == 0) ABORT;
949         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
950         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
951         fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
952         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
953         
954 /* Change test based on whether binary point compression is enabled or not. */
955 #ifdef OPENSSL_EC_BIN_PT_COMP
956         len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
957         if (len == 0) ABORT;
958         if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
959         if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
960         fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
961         for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
962 #endif
963
964         fprintf(stdout, "\n");
965         
966         if (!EC_POINT_invert(group, P, ctx)) ABORT;
967         if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
968
969
970         /* Curve K-163 (FIPS PUB 186-2, App. 6) */
971         CHAR2_CURVE_TEST
972                 (
973                 "NIST curve K-163",
974                 "0800000000000000000000000000000000000000C9",
975                 "1",
976                 "1",
977                 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
978                 "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
979                 1,
980                 "04000000000000000000020108A2E0CC0D99F8A5EF",
981                 "2",
982                 163,
983                 C2_K163
984                 );
985
986         /* Curve B-163 (FIPS PUB 186-2, App. 6) */
987         CHAR2_CURVE_TEST
988                 (
989                 "NIST curve B-163",
990                 "0800000000000000000000000000000000000000C9",
991                 "1",
992                 "020A601907B8C953CA1481EB10512F78744A3205FD",
993                 "03F0EBA16286A2D57EA0991168D4994637E8343E36",
994                 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
995                 1,
996                 "040000000000000000000292FE77E70C12A4234C33",
997                 "2",
998                 163,
999                 C2_B163
1000                 );
1001
1002         /* Curve K-233 (FIPS PUB 186-2, App. 6) */
1003         CHAR2_CURVE_TEST
1004                 (
1005                 "NIST curve K-233",
1006                 "020000000000000000000000000000000000000004000000000000000001",
1007                 "0",
1008                 "1",
1009                 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1010                 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1011                 0,
1012                 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1013                 "4",
1014                 233,
1015                 C2_K233
1016                 );
1017
1018         /* Curve B-233 (FIPS PUB 186-2, App. 6) */
1019         CHAR2_CURVE_TEST
1020                 (
1021                 "NIST curve B-233",
1022                 "020000000000000000000000000000000000000004000000000000000001",
1023                 "000000000000000000000000000000000000000000000000000000000001",
1024                 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1025                 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1026                 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1027                 1,
1028                 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1029                 "2",
1030                 233,
1031                 C2_B233
1032                 );
1033
1034         /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1035         CHAR2_CURVE_TEST
1036                 (
1037                 "NIST curve K-283",
1038                 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1039                 "0",
1040                 "1",
1041                 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1042                 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1043                 0,
1044                 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1045                 "4",
1046                 283,
1047                 C2_K283
1048                 );
1049
1050         /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1051         CHAR2_CURVE_TEST
1052                 (
1053                 "NIST curve B-283",
1054                 "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1055                 "000000000000000000000000000000000000000000000000000000000000000000000001",
1056                 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1057                 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1058                 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1059                 1,
1060                 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1061                 "2",
1062                 283,
1063                 C2_B283
1064                 );
1065
1066         /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1067         CHAR2_CURVE_TEST
1068                 (
1069                 "NIST curve K-409",
1070                 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1071                 "0",
1072                 "1",
1073                 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1074                 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1075                 1,
1076                 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1077                 "4",
1078                 409,
1079                 C2_K409
1080                 );
1081
1082         /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1083         CHAR2_CURVE_TEST
1084                 (
1085                 "NIST curve B-409",
1086                 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1087                 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1088                 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1089                 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1090                 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1091                 1,
1092                 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1093                 "2",
1094                 409,
1095                 C2_B409
1096                 );
1097
1098         /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1099         CHAR2_CURVE_TEST
1100                 (
1101                 "NIST curve K-571",
1102                 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1103                 "0",
1104                 "1",
1105                 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1106                 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1107                 0,
1108                 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1109                 "4",
1110                 571,
1111                 C2_K571
1112                 );
1113
1114         /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1115         CHAR2_CURVE_TEST
1116                 (
1117                 "NIST curve B-571",
1118                 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1119                 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1120                 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1121                 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1122                 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1123                 1,
1124                 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1125                 "2",
1126                 571,
1127                 C2_B571
1128                 );
1129
1130         /* more tests using the last curve */
1131
1132         if (!EC_POINT_copy(Q, P)) ABORT;
1133         if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1134         if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1135         if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1136         if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1137
1138         if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1139         if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1140         if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1141
1142         {
1143                 const EC_POINT *points[3];
1144                 const BIGNUM *scalars[3];
1145         
1146                 if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1147                 points[0] = Q;
1148                 points[1] = Q;
1149                 points[2] = Q;
1150
1151                 if (!BN_add(y, z, BN_value_one())) ABORT;
1152                 if (BN_is_odd(y)) ABORT;
1153                 if (!BN_rshift1(y, y)) ABORT;
1154                 scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
1155                 scalars[1] = y;
1156
1157                 fprintf(stdout, "combined multiplication ...");
1158                 fflush(stdout);
1159
1160                 /* z is still the group order */
1161                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1162                 if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1163                 if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1164                 if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1165
1166                 fprintf(stdout, ".");
1167                 fflush(stdout);
1168
1169                 if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1170                 if (!BN_add(z, z, y)) ABORT;
1171                 BN_set_negative(z, 1);
1172                 scalars[0] = y;
1173                 scalars[1] = z; /* z = -(order + y) */
1174
1175                 if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1176                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1177
1178                 fprintf(stdout, ".");
1179                 fflush(stdout);
1180
1181                 if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1182                 if (!BN_add(z, x, y)) ABORT;
1183                 BN_set_negative(z, 1);
1184                 scalars[0] = x;
1185                 scalars[1] = y;
1186                 scalars[2] = z; /* z = -(x+y) */
1187
1188                 if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1189                 if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1190
1191                 fprintf(stdout, " ok\n\n");
1192         }
1193
1194
1195 #if 0
1196         timings(C2_K163, TIMING_BASE_PT, ctx);
1197         timings(C2_K163, TIMING_RAND_PT, ctx);
1198         timings(C2_K163, TIMING_SIMUL, ctx);
1199         timings(C2_B163, TIMING_BASE_PT, ctx);
1200         timings(C2_B163, TIMING_RAND_PT, ctx);
1201         timings(C2_B163, TIMING_SIMUL, ctx);
1202         timings(C2_K233, TIMING_BASE_PT, ctx);
1203         timings(C2_K233, TIMING_RAND_PT, ctx);
1204         timings(C2_K233, TIMING_SIMUL, ctx);
1205         timings(C2_B233, TIMING_BASE_PT, ctx);
1206         timings(C2_B233, TIMING_RAND_PT, ctx);
1207         timings(C2_B233, TIMING_SIMUL, ctx);
1208         timings(C2_K283, TIMING_BASE_PT, ctx);
1209         timings(C2_K283, TIMING_RAND_PT, ctx);
1210         timings(C2_K283, TIMING_SIMUL, ctx);
1211         timings(C2_B283, TIMING_BASE_PT, ctx);
1212         timings(C2_B283, TIMING_RAND_PT, ctx);
1213         timings(C2_B283, TIMING_SIMUL, ctx);
1214         timings(C2_K409, TIMING_BASE_PT, ctx);
1215         timings(C2_K409, TIMING_RAND_PT, ctx);
1216         timings(C2_K409, TIMING_SIMUL, ctx);
1217         timings(C2_B409, TIMING_BASE_PT, ctx);
1218         timings(C2_B409, TIMING_RAND_PT, ctx);
1219         timings(C2_B409, TIMING_SIMUL, ctx);
1220         timings(C2_K571, TIMING_BASE_PT, ctx);
1221         timings(C2_K571, TIMING_RAND_PT, ctx);
1222         timings(C2_K571, TIMING_SIMUL, ctx);
1223         timings(C2_B571, TIMING_BASE_PT, ctx);
1224         timings(C2_B571, TIMING_RAND_PT, ctx);
1225         timings(C2_B571, TIMING_SIMUL, ctx);
1226 #endif
1227
1228
1229         if (ctx)
1230                 BN_CTX_free(ctx);
1231         BN_free(p); BN_free(a); BN_free(b);
1232         EC_GROUP_free(group);
1233         EC_POINT_free(P);
1234         EC_POINT_free(Q);
1235         EC_POINT_free(R);
1236         BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1237
1238         if (C2_K163) EC_GROUP_free(C2_K163);
1239         if (C2_B163) EC_GROUP_free(C2_B163);
1240         if (C2_K233) EC_GROUP_free(C2_K233);
1241         if (C2_B233) EC_GROUP_free(C2_B233);
1242         if (C2_K283) EC_GROUP_free(C2_K283);
1243         if (C2_B283) EC_GROUP_free(C2_B283);
1244         if (C2_K409) EC_GROUP_free(C2_K409);
1245         if (C2_B409) EC_GROUP_free(C2_B409);
1246         if (C2_K571) EC_GROUP_free(C2_K571);
1247         if (C2_B571) EC_GROUP_free(C2_B571);
1248
1249         }
1250 #endif
1251
1252 static void internal_curve_test(void)
1253         {
1254         EC_builtin_curve *curves = NULL;
1255         size_t crv_len = 0, n = 0;
1256         int    ok = 1;
1257
1258         crv_len = EC_get_builtin_curves(NULL, 0);
1259
1260         curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1261
1262         if (curves == NULL)
1263                 return;
1264
1265         if (!EC_get_builtin_curves(curves, crv_len))
1266                 {
1267                 OPENSSL_free(curves);
1268                 return;
1269                 }
1270
1271         fprintf(stdout, "testing internal curves: ");
1272                 
1273         for (n = 0; n < crv_len; n++)
1274                 {
1275                 EC_GROUP *group = NULL;
1276                 int nid = curves[n].nid;
1277                 if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
1278                         {
1279                         ok = 0;
1280                         fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1281                                 " curve %s\n", OBJ_nid2sn(nid));
1282                         /* try next curve */
1283                         continue;
1284                         }
1285                 if (!EC_GROUP_check(group, NULL))
1286                         {
1287                         ok = 0;
1288                         fprintf(stdout, "\nEC_GROUP_check() failed with"
1289                                 " curve %s\n", OBJ_nid2sn(nid));
1290                         EC_GROUP_free(group);
1291                         /* try the next curve */
1292                         continue;
1293                         }
1294                 fprintf(stdout, ".");
1295                 fflush(stdout);
1296                 EC_GROUP_free(group);
1297                 }
1298         if (ok)
1299                 fprintf(stdout, " ok\n\n");
1300         else
1301                 {
1302                 fprintf(stdout, " failed\n\n");
1303                 ABORT;
1304                 }
1305         OPENSSL_free(curves);
1306         return;
1307         }
1308
1309 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1310 /* nistp_test_params contains magic numbers for testing our optimized
1311  * implementations of several NIST curves with characteristic > 3. */
1312 struct nistp_test_params
1313         {
1314         const EC_METHOD* (*meth) ();
1315         int degree;
1316         /* Qx, Qy and D are taken from
1317          * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1318          * Otherwise, values are standard curve parameters from FIPS 180-3 */
1319         const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1320         };
1321
1322 static const struct nistp_test_params nistp_tests_params[] =
1323         {
1324                 {
1325                 /* P-224 */
1326                 EC_GFp_nistp224_method,
1327                 224,
1328                 /* p */
1329                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
1330                 /* a */
1331                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
1332                 /* b */
1333                 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
1334                 /* Qx */
1335                 "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
1336                 /* Qy */
1337                 "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
1338                 /* Gx */
1339                 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
1340                 /* Gy */
1341                 "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
1342                 /* order */
1343                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
1344                 /* d */
1345                 "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
1346                 },
1347                 {
1348                 /* P-256 */
1349                 EC_GFp_nistp256_method,
1350                 256,
1351                 /* p */
1352                 "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
1353                 /* a */
1354                 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
1355                 /* b */
1356                 "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
1357                 /* Qx */
1358                 "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
1359                 /* Qy */
1360                 "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
1361                 /* Gx */
1362                 "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
1363                 /* Gy */
1364                 "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
1365                 /* order */
1366                 "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
1367                 /* d */
1368                 "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
1369                 },
1370                 {
1371                 /* P-521 */
1372                 EC_GFp_nistp521_method,
1373                 521,
1374                 /* p */
1375                 "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1376                 /* a */
1377                 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1378                 /* b */
1379                 "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1380                 /* Qx */
1381                 "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1382                 /* Qy */
1383                 "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1384                 /* Gx */
1385                 "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1386                 /* Gy */
1387                 "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1388                 /* order */
1389                 "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1390                 /* d */
1391                 "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1392                 },
1393         };
1394
1395 static void nistp_single_test(const struct nistp_test_params *test)
1396         {
1397         BN_CTX *ctx;
1398         BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1399         EC_GROUP *NISTP;
1400         EC_POINT *G, *P, *Q, *Q_CHECK;
1401
1402         fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1403         ctx = BN_CTX_new();
1404         p = BN_new();
1405         a = BN_new();
1406         b = BN_new();
1407         x = BN_new(); y = BN_new();
1408         m = BN_new(); n = BN_new(); order = BN_new();
1409
1410         NISTP = EC_GROUP_new(test->meth());
1411         if(!NISTP) ABORT;
1412         if (!BN_hex2bn(&p, test->p)) ABORT;
1413         if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1414         if (!BN_hex2bn(&a, test->a)) ABORT;
1415         if (!BN_hex2bn(&b, test->b)) ABORT;
1416         if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1417         G = EC_POINT_new(NISTP);
1418         P = EC_POINT_new(NISTP);
1419         Q = EC_POINT_new(NISTP);
1420         Q_CHECK = EC_POINT_new(NISTP);
1421         if(!BN_hex2bn(&x, test->Qx)) ABORT;
1422         if(!BN_hex2bn(&y, test->Qy)) ABORT;
1423         if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1424         if (!BN_hex2bn(&x, test->Gx)) ABORT;
1425         if (!BN_hex2bn(&y, test->Gy)) ABORT;
1426         if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1427         if (!BN_hex2bn(&order, test->order)) ABORT;
1428         if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1429
1430         fprintf(stdout, "verify degree ... ");
1431         if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
1432         fprintf(stdout, "ok\n");
1433
1434         fprintf(stdout, "NIST test vectors ... ");
1435         if (!BN_hex2bn(&n, test->d)) ABORT;
1436         /* fixed point multiplication */
1437         EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1438         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1439         /* random point multiplication */
1440         EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1441         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1442
1443         /* set generator to P = 2*G, where G is the standard generator */
1444         if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1445         if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
1446         /* set the scalar to m=n/2, where n is the NIST test scalar */
1447         if (!BN_rshift(m, n, 1)) ABORT;
1448
1449         /* test the non-standard generator */
1450         /* fixed point multiplication */
1451         EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1452         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1453         /* random point multiplication */
1454         EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1455         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1456
1457         /* now repeat all tests with precomputation */
1458         if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
1459
1460         /* fixed point multiplication */
1461         EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1462         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1463         /* random point multiplication */
1464         EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1465         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1466
1467         /* reset generator */
1468         if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1469         /* fixed point multiplication */
1470         EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1471         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1472         /* random point multiplication */
1473         EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1474         if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1475
1476         fprintf(stdout, "ok\n");
1477         group_order_tests(NISTP);
1478 #if 0
1479         timings(NISTP, TIMING_BASE_PT, ctx);
1480         timings(NISTP, TIMING_RAND_PT, ctx);
1481 #endif
1482         EC_GROUP_free(NISTP);
1483         EC_POINT_free(G);
1484         EC_POINT_free(P);
1485         EC_POINT_free(Q);
1486         EC_POINT_free(Q_CHECK);
1487         BN_free(n);
1488         BN_free(m);
1489         BN_free(p);
1490         BN_free(a);
1491         BN_free(b);
1492         BN_free(x);
1493         BN_free(y);
1494         BN_free(order);
1495         BN_CTX_free(ctx);
1496         }
1497
1498 static void nistp_tests()
1499         {
1500         unsigned i;
1501
1502         for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1503                 {
1504                 nistp_single_test(&nistp_tests_params[i]);
1505                 }
1506         }
1507 #endif
1508
1509 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1510
1511 int main(int argc, char *argv[])
1512         {       
1513         
1514         /* enable memory leak checking unless explicitly disabled */
1515         if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1516                 {
1517                 CRYPTO_malloc_debug_init();
1518                 CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1519                 }
1520         else
1521                 {
1522                 /* OPENSSL_DEBUG_MEMORY=off */
1523                 CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1524                 }
1525         CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1526         ERR_load_crypto_strings();
1527
1528         RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1529
1530         prime_field_tests();
1531         puts("");
1532 #ifndef OPENSSL_NO_EC2M
1533         char2_field_tests();
1534 #endif
1535 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1536         nistp_tests();
1537 #endif
1538         /* test the internal curves */
1539         internal_curve_test();
1540
1541 #ifndef OPENSSL_NO_ENGINE
1542         ENGINE_cleanup();
1543 #endif
1544         CRYPTO_cleanup_all_ex_data();
1545         ERR_free_strings();
1546         ERR_remove_thread_state(NULL);
1547         CRYPTO_mem_leaks_fp(stderr);
1548         
1549         return 0;
1550         }
1551 #endif