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ectest.c
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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  * [email protected].
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  * ([email protected]). This product includes software written by Tim
55  * Hudson ([email protected]).
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  /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
168  * -- cc on NeXTstep/OpenStep */
169 # define UNIT "units"
170 # define CLOCKS_PER_SEC 1
171 #endif
172 
173  if (type == TIMING_BASE_PT) {
174  fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
175  "base point multiplications", (double)clck/CLOCKS_PER_SEC);
176  } else if (type == TIMING_RAND_PT) {
177  fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
178  "random point multiplications", (double)clck/CLOCKS_PER_SEC);
179  } else if (type == TIMING_SIMUL) {
180  fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
181  "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
182  }
183  fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
184 
185  EC_POINT_free(P);
186  BN_free(s);
187  for (i = 0; i < 10; i++)
188  {
189  BN_free(r[i]);
190  if (type != TIMING_BASE_PT) BN_free(r0[i]);
191  }
192  }
193 #endif
194 
195 /* test multiplication with group order, long and negative scalars */
196 static void group_order_tests(EC_GROUP *group)
197  {
198  BIGNUM *n1, *n2, *order;
199  EC_POINT *P = EC_POINT_new(group);
200  EC_POINT *Q = EC_POINT_new(group);
201  BN_CTX *ctx = BN_CTX_new();
202 
203  n1 = BN_new(); n2 = BN_new(); order = BN_new();
204  fprintf(stdout, "verify group order ...");
205  fflush(stdout);
206  if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
207  if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
208  if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
209  fprintf(stdout, ".");
210  fflush(stdout);
211  if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
212  if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
213  if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
214  fprintf(stdout, " ok\n");
215  fprintf(stdout, "long/negative scalar tests ... ");
216  if (!BN_one(n1)) ABORT;
217  /* n1 = 1 - order */
218  if (!BN_sub(n1, n1, order)) ABORT;
219  if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
220  if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
221  /* n2 = 1 + order */
222  if (!BN_add(n2, order, BN_value_one())) ABORT;
223  if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
224  if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
225  /* n2 = (1 - order) * (1 + order) */
226  if (!BN_mul(n2, n1, n2, ctx)) ABORT;
227  if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
228  if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
229  fprintf(stdout, "ok\n");
230  EC_POINT_free(P);
231  EC_POINT_free(Q);
232  BN_free(n1);
233  BN_free(n2);
234  BN_free(order);
235  BN_CTX_free(ctx);
236  }
237 
238 static void prime_field_tests(void)
239  {
240  BN_CTX *ctx = NULL;
241  BIGNUM *p, *a, *b;
242  EC_GROUP *group;
243  EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
244  EC_POINT *P, *Q, *R;
245  BIGNUM *x, *y, *z;
246  unsigned char buf[100];
247  size_t i, len;
248  int k;
249 
250 #if 1 /* optional */
251  ctx = BN_CTX_new();
252  if (!ctx) ABORT;
253 #endif
254 
255  p = BN_new();
256  a = BN_new();
257  b = BN_new();
258  if (!p || !a || !b) ABORT;
259 
260  if (!BN_hex2bn(&p, "17")) ABORT;
261  if (!BN_hex2bn(&a, "1")) ABORT;
262  if (!BN_hex2bn(&b, "1")) ABORT;
263 
264  group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
265  * so that the library gets to choose the EC_METHOD */
266  if (!group) ABORT;
267 
268  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
269 
270  {
271  EC_GROUP *tmp;
272  tmp = EC_GROUP_new(EC_GROUP_method_of(group));
273  if (!tmp) ABORT;
274  if (!EC_GROUP_copy(tmp, group)) ABORT;
275  EC_GROUP_free(group);
276  group = tmp;
277  }
278 
279  if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
280 
281  fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
282  BN_print_fp(stdout, p);
283  fprintf(stdout, ")\n a = 0x");
284  BN_print_fp(stdout, a);
285  fprintf(stdout, "\n b = 0x");
286  BN_print_fp(stdout, b);
287  fprintf(stdout, "\n");
288 
289  P = EC_POINT_new(group);
290  Q = EC_POINT_new(group);
291  R = EC_POINT_new(group);
292  if (!P || !Q || !R) ABORT;
293 
294  if (!EC_POINT_set_to_infinity(group, P)) ABORT;
295  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
296 
297  buf[0] = 0;
298  if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
299 
300  if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
301  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
302 
303  x = BN_new();
304  y = BN_new();
305  z = BN_new();
306  if (!x || !y || !z) ABORT;
307 
308  if (!BN_hex2bn(&x, "D")) ABORT;
309  if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
310  if (!EC_POINT_is_on_curve(group, Q, ctx))
311  {
312  if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
313  fprintf(stderr, "Point is not on curve: x = 0x");
314  BN_print_fp(stderr, x);
315  fprintf(stderr, ", y = 0x");
316  BN_print_fp(stderr, y);
317  fprintf(stderr, "\n");
318  ABORT;
319  }
320 
321  fprintf(stdout, "A cyclic subgroup:\n");
322  k = 100;
323  do
324  {
325  if (k-- == 0) ABORT;
326 
327  if (EC_POINT_is_at_infinity(group, P))
328  fprintf(stdout, " point at infinity\n");
329  else
330  {
331  if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
332 
333  fprintf(stdout, " x = 0x");
334  BN_print_fp(stdout, x);
335  fprintf(stdout, ", y = 0x");
336  BN_print_fp(stdout, y);
337  fprintf(stdout, "\n");
338  }
339 
340  if (!EC_POINT_copy(R, P)) ABORT;
341  if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
342 
343 #if 0 /* optional */
344  {
345  EC_POINT *points[3];
346 
347  points[0] = R;
348  points[1] = Q;
349  points[2] = P;
350  if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
351  }
352 #endif
353 
354  }
355  while (!EC_POINT_is_at_infinity(group, P));
356 
357  if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
358  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
359 
360  len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
361  if (len == 0) ABORT;
362  if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
363  if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
364  fprintf(stdout, "Generator as octet string, compressed form:\n ");
365  for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
366 
367  len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
368  if (len == 0) ABORT;
369  if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
370  if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
371  fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
372  for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
373 
374  len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
375  if (len == 0) ABORT;
376  if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
377  if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
378  fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
379  for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
380 
381  if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
382  fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
383  BN_print_fp(stdout, x);
384  fprintf(stdout, ", Y = 0x");
385  BN_print_fp(stdout, y);
386  fprintf(stdout, ", Z = 0x");
387  BN_print_fp(stdout, z);
388  fprintf(stdout, "\n");
389 
390  if (!EC_POINT_invert(group, P, ctx)) ABORT;
391  if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
392 
393 
394  /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
395  * -- not a NIST curve, but commonly used */
396 
397  if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
398  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
399  if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
400  if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
401  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
402 
403  if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
404  if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
405  if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
406  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
407  if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
408  if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
409 
410  if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
411  fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
412  BN_print_fp(stdout, x);
413  fprintf(stdout, "\n y = 0x");
414  BN_print_fp(stdout, y);
415  fprintf(stdout, "\n");
416  /* G_y value taken from the standard: */
417  if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
418  if (0 != BN_cmp(y, z)) ABORT;
419 
420  fprintf(stdout, "verify degree ...");
421  if (EC_GROUP_get_degree(group) != 160) ABORT;
422  fprintf(stdout, " ok\n");
423 
424  group_order_tests(group);
425 
426  if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
427  if (!EC_GROUP_copy(P_160, group)) ABORT;
428 
429 
430  /* Curve P-192 (FIPS PUB 186-2, App. 6) */
431 
432  if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
433  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
434  if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
435  if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
436  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
437 
438  if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
439  if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
440  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
441  if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) 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, "\nNIST curve P-192 -- 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, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
452  if (0 != BN_cmp(y, z)) ABORT;
453 
454  fprintf(stdout, "verify degree ...");
455  if (EC_GROUP_get_degree(group) != 192) ABORT;
456  fprintf(stdout, " ok\n");
457 
458  group_order_tests(group);
459 
460  if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
461  if (!EC_GROUP_copy(P_192, group)) ABORT;
462 
463 
464  /* Curve P-224 (FIPS PUB 186-2, App. 6) */
465 
466  if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
467  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
468  if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
469  if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
470  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
471 
472  if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
473  if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
474  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
475  if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) 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-224 -- 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, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
486  if (0 != BN_cmp(y, z)) ABORT;
487 
488  fprintf(stdout, "verify degree ...");
489  if (EC_GROUP_get_degree(group) != 224) ABORT;
490  fprintf(stdout, " ok\n");
491 
492  group_order_tests(group);
493 
494  if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
495  if (!EC_GROUP_copy(P_224, group)) ABORT;
496 
497 
498  /* Curve P-256 (FIPS PUB 186-2, App. 6) */
499 
500  if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
501  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
502  if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
503  if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
504  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
505 
506  if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
507  if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
508  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
509  if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
510  "84F3B9CAC2FC632551")) ABORT;
511  if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
512 
513  if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
514  fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
515  BN_print_fp(stdout, x);
516  fprintf(stdout, "\n y = 0x");
517  BN_print_fp(stdout, y);
518  fprintf(stdout, "\n");
519  /* G_y value taken from the standard: */
520  if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
521  if (0 != BN_cmp(y, z)) ABORT;
522 
523  fprintf(stdout, "verify degree ...");
524  if (EC_GROUP_get_degree(group) != 256) ABORT;
525  fprintf(stdout, " ok\n");
526 
527  group_order_tests(group);
528 
529  if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
530  if (!EC_GROUP_copy(P_256, group)) ABORT;
531 
532 
533  /* Curve P-384 (FIPS PUB 186-2, App. 6) */
534 
535  if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
536  "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
537  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
538  if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
539  "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
540  if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
541  "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
542  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
543 
544  if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
545  "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
546  if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
547  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
548  if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
549  "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
550  if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
551 
552  if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
553  fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
554  BN_print_fp(stdout, x);
555  fprintf(stdout, "\n y = 0x");
556  BN_print_fp(stdout, y);
557  fprintf(stdout, "\n");
558  /* G_y value taken from the standard: */
559  if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
560  "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
561  if (0 != BN_cmp(y, z)) ABORT;
562 
563  fprintf(stdout, "verify degree ...");
564  if (EC_GROUP_get_degree(group) != 384) ABORT;
565  fprintf(stdout, " ok\n");
566 
567  group_order_tests(group);
568 
569  if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
570  if (!EC_GROUP_copy(P_384, group)) ABORT;
571 
572 
573  /* Curve P-521 (FIPS PUB 186-2, App. 6) */
574 
575  if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
576  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
577  "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
578  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
579  if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
580  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
581  "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
582  if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
583  "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
584  "DF883D2C34F1EF451FD46B503F00")) ABORT;
585  if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
586 
587  if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
588  "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
589  "3C1856A429BF97E7E31C2E5BD66")) ABORT;
590  if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
591  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
592  if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
593  "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
594  "C9B8899C47AEBB6FB71E91386409")) ABORT;
595  if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
596 
597  if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
598  fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
599  BN_print_fp(stdout, x);
600  fprintf(stdout, "\n y = 0x");
601  BN_print_fp(stdout, y);
602  fprintf(stdout, "\n");
603  /* G_y value taken from the standard: */
604  if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
605  "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
606  "7086A272C24088BE94769FD16650")) ABORT;
607  if (0 != BN_cmp(y, z)) ABORT;
608 
609  fprintf(stdout, "verify degree ...");
610  if (EC_GROUP_get_degree(group) != 521) ABORT;
611  fprintf(stdout, " ok\n");
612 
613  group_order_tests(group);
614 
615  if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
616  if (!EC_GROUP_copy(P_521, group)) ABORT;
617 
618 
619  /* more tests using the last curve */
620 
621  if (!EC_POINT_copy(Q, P)) ABORT;
622  if (EC_POINT_is_at_infinity(group, Q)) ABORT;
623  if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
624  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
625  if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
626 
627  if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
628  if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
629  if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
630 
631  {
632  const EC_POINT *points[4];
633  const BIGNUM *scalars[4];
634  BIGNUM scalar3;
635 
636  if (EC_POINT_is_at_infinity(group, Q)) ABORT;
637  points[0] = Q;
638  points[1] = Q;
639  points[2] = Q;
640  points[3] = Q;
641 
642  if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
643  if (!BN_add(y, z, BN_value_one())) ABORT;
644  if (BN_is_odd(y)) ABORT;
645  if (!BN_rshift1(y, y)) ABORT;
646  scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
647  scalars[1] = y;
648 
649  fprintf(stdout, "combined multiplication ...");
650  fflush(stdout);
651 
652  /* z is still the group order */
653  if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
654  if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
655  if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
656  if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
657 
658  fprintf(stdout, ".");
659  fflush(stdout);
660 
661  if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
662  if (!BN_add(z, z, y)) ABORT;
663  BN_set_negative(z, 1);
664  scalars[0] = y;
665  scalars[1] = z; /* z = -(order + y) */
666 
667  if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
668  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
669 
670  fprintf(stdout, ".");
671  fflush(stdout);
672 
673  if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
674  if (!BN_add(z, x, y)) ABORT;
675  BN_set_negative(z, 1);
676  scalars[0] = x;
677  scalars[1] = y;
678  scalars[2] = z; /* z = -(x+y) */
679 
680  BN_init(&scalar3);
681  BN_zero(&scalar3);
682  scalars[3] = &scalar3;
683 
684  if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
685  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
686 
687  fprintf(stdout, " ok\n\n");
688 
689  BN_free(&scalar3);
690  }
691 
692 
693 #if 0
694  timings(P_160, TIMING_BASE_PT, ctx);
695  timings(P_160, TIMING_RAND_PT, ctx);
696  timings(P_160, TIMING_SIMUL, ctx);
697  timings(P_192, TIMING_BASE_PT, ctx);
698  timings(P_192, TIMING_RAND_PT, ctx);
699  timings(P_192, TIMING_SIMUL, ctx);
700  timings(P_224, TIMING_BASE_PT, ctx);
701  timings(P_224, TIMING_RAND_PT, ctx);
702  timings(P_224, TIMING_SIMUL, ctx);
703  timings(P_256, TIMING_BASE_PT, ctx);
704  timings(P_256, TIMING_RAND_PT, ctx);
705  timings(P_256, TIMING_SIMUL, ctx);
706  timings(P_384, TIMING_BASE_PT, ctx);
707  timings(P_384, TIMING_RAND_PT, ctx);
708  timings(P_384, TIMING_SIMUL, ctx);
709  timings(P_521, TIMING_BASE_PT, ctx);
710  timings(P_521, TIMING_RAND_PT, ctx);
711  timings(P_521, TIMING_SIMUL, ctx);
712 #endif
713 
714 
715  if (ctx)
716  BN_CTX_free(ctx);
717  BN_free(p); BN_free(a); BN_free(b);
718  EC_GROUP_free(group);
719  EC_POINT_free(P);
720  EC_POINT_free(Q);
721  EC_POINT_free(R);
722  BN_free(x); BN_free(y); BN_free(z);
723 
724  if (P_160) EC_GROUP_free(P_160);
725  if (P_192) EC_GROUP_free(P_192);
726  if (P_224) EC_GROUP_free(P_224);
727  if (P_256) EC_GROUP_free(P_256);
728  if (P_384) EC_GROUP_free(P_384);
729  if (P_521) EC_GROUP_free(P_521);
730 
731  }
732 
733 /* Change test based on whether binary point compression is enabled or not. */
734 #ifdef OPENSSL_EC_BIN_PT_COMP
735 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
736  if (!BN_hex2bn(&x, _x)) ABORT; \
737  if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
738  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
739  if (!BN_hex2bn(&z, _order)) ABORT; \
740  if (!BN_hex2bn(&cof, _cof)) ABORT; \
741  if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
742  if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
743  fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
744  BN_print_fp(stdout, x); \
745  fprintf(stdout, "\n y = 0x"); \
746  BN_print_fp(stdout, y); \
747  fprintf(stdout, "\n"); \
748  /* G_y value taken from the standard: */ \
749  if (!BN_hex2bn(&z, _y)) ABORT; \
750  if (0 != BN_cmp(y, z)) ABORT;
751 #else
752 #define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
753  if (!BN_hex2bn(&x, _x)) ABORT; \
754  if (!BN_hex2bn(&y, _y)) ABORT; \
755  if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
756  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
757  if (!BN_hex2bn(&z, _order)) ABORT; \
758  if (!BN_hex2bn(&cof, _cof)) ABORT; \
759  if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
760  fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
761  BN_print_fp(stdout, x); \
762  fprintf(stdout, "\n y = 0x"); \
763  BN_print_fp(stdout, y); \
764  fprintf(stdout, "\n");
765 #endif
766 
767 #define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
768  if (!BN_hex2bn(&p, _p)) ABORT; \
769  if (!BN_hex2bn(&a, _a)) ABORT; \
770  if (!BN_hex2bn(&b, _b)) ABORT; \
771  if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
772  CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
773  fprintf(stdout, "verify degree ..."); \
774  if (EC_GROUP_get_degree(group) != _degree) ABORT; \
775  fprintf(stdout, " ok\n"); \
776  group_order_tests(group); \
777  if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
778  if (!EC_GROUP_copy(_variable, group)) ABORT; \
779 
780 #ifndef OPENSSL_NO_EC2M
781 
782 static void char2_field_tests(void)
783  {
784  BN_CTX *ctx = NULL;
785  BIGNUM *p, *a, *b;
786  EC_GROUP *group;
787  EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
788  EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
789  EC_POINT *P, *Q, *R;
790  BIGNUM *x, *y, *z, *cof;
791  unsigned char buf[100];
792  size_t i, len;
793  int k;
794 
795 #if 1 /* optional */
796  ctx = BN_CTX_new();
797  if (!ctx) ABORT;
798 #endif
799 
800  p = BN_new();
801  a = BN_new();
802  b = BN_new();
803  if (!p || !a || !b) ABORT;
804 
805  if (!BN_hex2bn(&p, "13")) ABORT;
806  if (!BN_hex2bn(&a, "3")) ABORT;
807  if (!BN_hex2bn(&b, "1")) ABORT;
808 
809  group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
810  * so that the library gets to choose the EC_METHOD */
811  if (!group) ABORT;
812  if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
813 
814  {
815  EC_GROUP *tmp;
816  tmp = EC_GROUP_new(EC_GROUP_method_of(group));
817  if (!tmp) ABORT;
818  if (!EC_GROUP_copy(tmp, group)) ABORT;
819  EC_GROUP_free(group);
820  group = tmp;
821  }
822 
823  if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
824 
825  fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
826  BN_print_fp(stdout, p);
827  fprintf(stdout, ")\n a = 0x");
828  BN_print_fp(stdout, a);
829  fprintf(stdout, "\n b = 0x");
830  BN_print_fp(stdout, b);
831  fprintf(stdout, "\n(0x... means binary polynomial)\n");
832 
833  P = EC_POINT_new(group);
834  Q = EC_POINT_new(group);
835  R = EC_POINT_new(group);
836  if (!P || !Q || !R) ABORT;
837 
838  if (!EC_POINT_set_to_infinity(group, P)) ABORT;
839  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
840 
841  buf[0] = 0;
842  if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
843 
844  if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
845  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
846 
847  x = BN_new();
848  y = BN_new();
849  z = BN_new();
850  cof = BN_new();
851  if (!x || !y || !z || !cof) ABORT;
852 
853  if (!BN_hex2bn(&x, "6")) ABORT;
854 /* Change test based on whether binary point compression is enabled or not. */
855 #ifdef OPENSSL_EC_BIN_PT_COMP
856  if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
857 #else
858  if (!BN_hex2bn(&y, "8")) ABORT;
859  if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
860 #endif
861  if (!EC_POINT_is_on_curve(group, Q, ctx))
862  {
863 /* Change test based on whether binary point compression is enabled or not. */
864 #ifdef OPENSSL_EC_BIN_PT_COMP
865  if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
866 #endif
867  fprintf(stderr, "Point is not on curve: x = 0x");
868  BN_print_fp(stderr, x);
869  fprintf(stderr, ", y = 0x");
870  BN_print_fp(stderr, y);
871  fprintf(stderr, "\n");
872  ABORT;
873  }
874 
875  fprintf(stdout, "A cyclic subgroup:\n");
876  k = 100;
877  do
878  {
879  if (k-- == 0) ABORT;
880 
881  if (EC_POINT_is_at_infinity(group, P))
882  fprintf(stdout, " point at infinity\n");
883  else
884  {
885  if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
886 
887  fprintf(stdout, " x = 0x");
888  BN_print_fp(stdout, x);
889  fprintf(stdout, ", y = 0x");
890  BN_print_fp(stdout, y);
891  fprintf(stdout, "\n");
892  }
893 
894  if (!EC_POINT_copy(R, P)) ABORT;
895  if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
896  }
897  while (!EC_POINT_is_at_infinity(group, P));
898 
899  if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
900  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
901 
902 /* Change test based on whether binary point compression is enabled or not. */
903 #ifdef OPENSSL_EC_BIN_PT_COMP
904  len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
905  if (len == 0) ABORT;
906  if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
907  if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
908  fprintf(stdout, "Generator as octet string, compressed form:\n ");
909  for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
910 #endif
911 
912  len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
913  if (len == 0) ABORT;
914  if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
915  if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
916  fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
917  for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
918 
919 /* Change test based on whether binary point compression is enabled or not. */
920 #ifdef OPENSSL_EC_BIN_PT_COMP
921  len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
922  if (len == 0) ABORT;
923  if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
924  if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
925  fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
926  for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
927 #endif
928 
929  fprintf(stdout, "\n");
930 
931  if (!EC_POINT_invert(group, P, ctx)) ABORT;
932  if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
933 
934 
935  /* Curve K-163 (FIPS PUB 186-2, App. 6) */
936  CHAR2_CURVE_TEST
937  (
938  "NIST curve K-163",
939  "0800000000000000000000000000000000000000C9",
940  "1",
941  "1",
942  "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
943  "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
944  1,
945  "04000000000000000000020108A2E0CC0D99F8A5EF",
946  "2",
947  163,
948  C2_K163
949  );
950 
951  /* Curve B-163 (FIPS PUB 186-2, App. 6) */
952  CHAR2_CURVE_TEST
953  (
954  "NIST curve B-163",
955  "0800000000000000000000000000000000000000C9",
956  "1",
957  "020A601907B8C953CA1481EB10512F78744A3205FD",
958  "03F0EBA16286A2D57EA0991168D4994637E8343E36",
959  "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
960  1,
961  "040000000000000000000292FE77E70C12A4234C33",
962  "2",
963  163,
964  C2_B163
965  );
966 
967  /* Curve K-233 (FIPS PUB 186-2, App. 6) */
968  CHAR2_CURVE_TEST
969  (
970  "NIST curve K-233",
971  "020000000000000000000000000000000000000004000000000000000001",
972  "0",
973  "1",
974  "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
975  "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
976  0,
977  "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
978  "4",
979  233,
980  C2_K233
981  );
982 
983  /* Curve B-233 (FIPS PUB 186-2, App. 6) */
984  CHAR2_CURVE_TEST
985  (
986  "NIST curve B-233",
987  "020000000000000000000000000000000000000004000000000000000001",
988  "000000000000000000000000000000000000000000000000000000000001",
989  "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
990  "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
991  "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
992  1,
993  "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
994  "2",
995  233,
996  C2_B233
997  );
998 
999  /* Curve K-283 (FIPS PUB 186-2, App. 6) */
1000  CHAR2_CURVE_TEST
1001  (
1002  "NIST curve K-283",
1003  "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1004  "0",
1005  "1",
1006  "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1007  "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1008  0,
1009  "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1010  "4",
1011  283,
1012  C2_K283
1013  );
1014 
1015  /* Curve B-283 (FIPS PUB 186-2, App. 6) */
1016  CHAR2_CURVE_TEST
1017  (
1018  "NIST curve B-283",
1019  "0800000000000000000000000000000000000000000000000000000000000000000010A1",
1020  "000000000000000000000000000000000000000000000000000000000000000000000001",
1021  "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1022  "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1023  "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1024  1,
1025  "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1026  "2",
1027  283,
1028  C2_B283
1029  );
1030 
1031  /* Curve K-409 (FIPS PUB 186-2, App. 6) */
1032  CHAR2_CURVE_TEST
1033  (
1034  "NIST curve K-409",
1035  "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1036  "0",
1037  "1",
1038  "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1039  "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1040  1,
1041  "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1042  "4",
1043  409,
1044  C2_K409
1045  );
1046 
1047  /* Curve B-409 (FIPS PUB 186-2, App. 6) */
1048  CHAR2_CURVE_TEST
1049  (
1050  "NIST curve B-409",
1051  "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1052  "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1053  "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1054  "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1055  "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1056  1,
1057  "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1058  "2",
1059  409,
1060  C2_B409
1061  );
1062 
1063  /* Curve K-571 (FIPS PUB 186-2, App. 6) */
1064  CHAR2_CURVE_TEST
1065  (
1066  "NIST curve K-571",
1067  "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1068  "0",
1069  "1",
1070  "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1071  "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1072  0,
1073  "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1074  "4",
1075  571,
1076  C2_K571
1077  );
1078 
1079  /* Curve B-571 (FIPS PUB 186-2, App. 6) */
1080  CHAR2_CURVE_TEST
1081  (
1082  "NIST curve B-571",
1083  "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1084  "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1085  "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1086  "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1087  "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1088  1,
1089  "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1090  "2",
1091  571,
1092  C2_B571
1093  );
1094 
1095  /* more tests using the last curve */
1096 
1097  if (!EC_POINT_copy(Q, P)) ABORT;
1098  if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1099  if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1100  if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1101  if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1102 
1103  if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1104  if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1105  if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1106 
1107  {
1108  const EC_POINT *points[3];
1109  const BIGNUM *scalars[3];
1110 
1111  if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1112  points[0] = Q;
1113  points[1] = Q;
1114  points[2] = Q;
1115 
1116  if (!BN_add(y, z, BN_value_one())) ABORT;
1117  if (BN_is_odd(y)) ABORT;
1118  if (!BN_rshift1(y, y)) ABORT;
1119  scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
1120  scalars[1] = y;
1121 
1122  fprintf(stdout, "combined multiplication ...");
1123  fflush(stdout);
1124 
1125  /* z is still the group order */
1126  if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1127  if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1128  if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1129  if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1130 
1131  fprintf(stdout, ".");
1132  fflush(stdout);
1133 
1134  if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1135  if (!BN_add(z, z, y)) ABORT;
1136  BN_set_negative(z, 1);
1137  scalars[0] = y;
1138  scalars[1] = z; /* z = -(order + y) */
1139 
1140  if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1141  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1142 
1143  fprintf(stdout, ".");
1144  fflush(stdout);
1145 
1146  if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1147  if (!BN_add(z, x, y)) ABORT;
1148  BN_set_negative(z, 1);
1149  scalars[0] = x;
1150  scalars[1] = y;
1151  scalars[2] = z; /* z = -(x+y) */
1152 
1153  if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1154  if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1155 
1156  fprintf(stdout, " ok\n\n");
1157  }
1158 
1159 
1160 #if 0
1161  timings(C2_K163, TIMING_BASE_PT, ctx);
1162  timings(C2_K163, TIMING_RAND_PT, ctx);
1163  timings(C2_K163, TIMING_SIMUL, ctx);
1164  timings(C2_B163, TIMING_BASE_PT, ctx);
1165  timings(C2_B163, TIMING_RAND_PT, ctx);
1166  timings(C2_B163, TIMING_SIMUL, ctx);
1167  timings(C2_K233, TIMING_BASE_PT, ctx);
1168  timings(C2_K233, TIMING_RAND_PT, ctx);
1169  timings(C2_K233, TIMING_SIMUL, ctx);
1170  timings(C2_B233, TIMING_BASE_PT, ctx);
1171  timings(C2_B233, TIMING_RAND_PT, ctx);
1172  timings(C2_B233, TIMING_SIMUL, ctx);
1173  timings(C2_K283, TIMING_BASE_PT, ctx);
1174  timings(C2_K283, TIMING_RAND_PT, ctx);
1175  timings(C2_K283, TIMING_SIMUL, ctx);
1176  timings(C2_B283, TIMING_BASE_PT, ctx);
1177  timings(C2_B283, TIMING_RAND_PT, ctx);
1178  timings(C2_B283, TIMING_SIMUL, ctx);
1179  timings(C2_K409, TIMING_BASE_PT, ctx);
1180  timings(C2_K409, TIMING_RAND_PT, ctx);
1181  timings(C2_K409, TIMING_SIMUL, ctx);
1182  timings(C2_B409, TIMING_BASE_PT, ctx);
1183  timings(C2_B409, TIMING_RAND_PT, ctx);
1184  timings(C2_B409, TIMING_SIMUL, ctx);
1185  timings(C2_K571, TIMING_BASE_PT, ctx);
1186  timings(C2_K571, TIMING_RAND_PT, ctx);
1187  timings(C2_K571, TIMING_SIMUL, ctx);
1188  timings(C2_B571, TIMING_BASE_PT, ctx);
1189  timings(C2_B571, TIMING_RAND_PT, ctx);
1190  timings(C2_B571, TIMING_SIMUL, ctx);
1191 #endif
1192 
1193 
1194  if (ctx)
1195  BN_CTX_free(ctx);
1196  BN_free(p); BN_free(a); BN_free(b);
1197  EC_GROUP_free(group);
1198  EC_POINT_free(P);
1199  EC_POINT_free(Q);
1200  EC_POINT_free(R);
1201  BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1202 
1203  if (C2_K163) EC_GROUP_free(C2_K163);
1204  if (C2_B163) EC_GROUP_free(C2_B163);
1205  if (C2_K233) EC_GROUP_free(C2_K233);
1206  if (C2_B233) EC_GROUP_free(C2_B233);
1207  if (C2_K283) EC_GROUP_free(C2_K283);
1208  if (C2_B283) EC_GROUP_free(C2_B283);
1209  if (C2_K409) EC_GROUP_free(C2_K409);
1210  if (C2_B409) EC_GROUP_free(C2_B409);
1211  if (C2_K571) EC_GROUP_free(C2_K571);
1212  if (C2_B571) EC_GROUP_free(C2_B571);
1213 
1214  }
1215 #endif
1216 
1217 static void internal_curve_test(void)
1218  {
1219  EC_builtin_curve *curves = NULL;
1220  size_t crv_len = 0, n = 0;
1221  int ok = 1;
1222 
1223  crv_len = EC_get_builtin_curves(NULL, 0);
1224 
1225  curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1226 
1227  if (curves == NULL)
1228  return;
1229 
1230  if (!EC_get_builtin_curves(curves, crv_len))
1231  {
1232  OPENSSL_free(curves);
1233  return;
1234  }
1235 
1236  fprintf(stdout, "testing internal curves: ");
1237 
1238  for (n = 0; n < crv_len; n++)
1239  {
1240  EC_GROUP *group = NULL;
1241  int nid = curves[n].nid;
1242  if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
1243  {
1244  ok = 0;
1245  fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1246  " curve %s\n", OBJ_nid2sn(nid));
1247  /* try next curve */
1248  continue;
1249  }
1250  if (!EC_GROUP_check(group, NULL))
1251  {
1252  ok = 0;
1253  fprintf(stdout, "\nEC_GROUP_check() failed with"
1254  " curve %s\n", OBJ_nid2sn(nid));
1255  EC_GROUP_free(group);
1256  /* try the next curve */
1257  continue;
1258  }
1259  fprintf(stdout, ".");
1260  fflush(stdout);
1261  EC_GROUP_free(group);
1262  }
1263  if (ok)
1264  fprintf(stdout, " ok\n\n");
1265  else
1266  {
1267  fprintf(stdout, " failed\n\n");
1268  ABORT;
1269  }
1270  OPENSSL_free(curves);
1271  return;
1272  }
1273 
1274 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1275 /* nistp_test_params contains magic numbers for testing our optimized
1276  * implementations of several NIST curves with characteristic > 3. */
1277 struct nistp_test_params
1278  {
1279  const EC_METHOD* (*meth) ();
1280  int degree;
1281  /* Qx, Qy and D are taken from
1282  * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1283  * Otherwise, values are standard curve parameters from FIPS 180-3 */
1284  const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1285  };
1286 
1287 static const struct nistp_test_params nistp_tests_params[] =
1288  {
1289  {
1290  /* P-224 */
1291  EC_GFp_nistp224_method,
1292  224,
1293  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
1294  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
1295  "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
1296  "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
1297  "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
1298  "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
1299  "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
1300  "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
1301  "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
1302  },
1303  {
1304  /* P-256 */
1305  EC_GFp_nistp256_method,
1306  256,
1307  "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
1308  "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
1309  "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
1310  "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
1311  "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
1312  "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
1313  "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
1314  "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
1315  "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
1316  },
1317  {
1318  /* P-521 */
1319  EC_GFp_nistp521_method,
1320  521,
1321  "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
1322  "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
1323  "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
1324  "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
1325  "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
1326  "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
1327  "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
1328  "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
1329  "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
1330  },
1331  };
1332 
1333 void nistp_single_test(const struct nistp_test_params *test)
1334  {
1335  BN_CTX *ctx;
1336  BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1337  EC_GROUP *NISTP;
1338  EC_POINT *G, *P, *Q, *Q_CHECK;
1339 
1340  fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1341  ctx = BN_CTX_new();
1342  p = BN_new();
1343  a = BN_new();
1344  b = BN_new();
1345  x = BN_new(); y = BN_new();
1346  m = BN_new(); n = BN_new(); order = BN_new();
1347 
1348  NISTP = EC_GROUP_new(test->meth());
1349  if(!NISTP) ABORT;
1350  if (!BN_hex2bn(&p, test->p)) ABORT;
1351  if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1352  if (!BN_hex2bn(&a, test->a)) ABORT;
1353  if (!BN_hex2bn(&b, test->b)) ABORT;
1354  if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1355  G = EC_POINT_new(NISTP);
1356  P = EC_POINT_new(NISTP);
1357  Q = EC_POINT_new(NISTP);
1358  Q_CHECK = EC_POINT_new(NISTP);
1359  if(!BN_hex2bn(&x, test->Qx)) ABORT;
1360  if(!BN_hex2bn(&y, test->Qy)) ABORT;
1361  if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1362  if (!BN_hex2bn(&x, test->Gx)) ABORT;
1363  if (!BN_hex2bn(&y, test->Gy)) ABORT;
1364  if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1365  if (!BN_hex2bn(&order, test->order)) ABORT;
1366  if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1367 
1368  fprintf(stdout, "verify degree ... ");
1369  if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
1370  fprintf(stdout, "ok\n");
1371 
1372  fprintf(stdout, "NIST test vectors ... ");
1373  if (!BN_hex2bn(&n, test->d)) ABORT;
1374  /* fixed point multiplication */
1375  EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1376  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1377  /* random point multiplication */
1378  EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1379  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1380 
1381  /* set generator to P = 2*G, where G is the standard generator */
1382  if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1383  if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
1384  /* set the scalar to m=n/2, where n is the NIST test scalar */
1385  if (!BN_rshift(m, n, 1)) ABORT;
1386 
1387  /* test the non-standard generator */
1388  /* fixed point multiplication */
1389  EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1390  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1391  /* random point multiplication */
1392  EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1393  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1394 
1395  /* now repeat all tests with precomputation */
1396  if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
1397 
1398  /* fixed point multiplication */
1399  EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1400  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1401  /* random point multiplication */
1402  EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1403  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1404 
1405  /* reset generator */
1406  if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1407  /* fixed point multiplication */
1408  EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1409  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1410  /* random point multiplication */
1411  EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1412  if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1413 
1414  fprintf(stdout, "ok\n");
1415  group_order_tests(NISTP);
1416 #if 0
1417  timings(NISTP, TIMING_BASE_PT, ctx);
1418  timings(NISTP, TIMING_RAND_PT, ctx);
1419 #endif
1420  EC_GROUP_free(NISTP);
1421  EC_POINT_free(G);
1422  EC_POINT_free(P);
1423  EC_POINT_free(Q);
1424  EC_POINT_free(Q_CHECK);
1425  BN_free(n);
1426  BN_free(m);
1427  BN_free(p);
1428  BN_free(a);
1429  BN_free(b);
1430  BN_free(x);
1431  BN_free(y);
1432  BN_free(order);
1433  BN_CTX_free(ctx);
1434  }
1435 
1436 void nistp_tests()
1437  {
1438  unsigned i;
1439 
1440  for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1441  {
1442  nistp_single_test(&nistp_tests_params[i]);
1443  }
1444  }
1445 #endif
1446 
1447 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1448 
1449 int main(int argc, char *argv[])
1450  {
1451 
1452  /* enable memory leak checking unless explicitly disabled */
1453  if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1454  {
1455  CRYPTO_malloc_debug_init();
1456  CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1457  }
1458  else
1459  {
1460  /* OPENSSL_DEBUG_MEMORY=off */
1461  CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1462  }
1463  CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1464  ERR_load_crypto_strings();
1465 
1466  RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1467 
1468  prime_field_tests();
1469  puts("");
1470 #ifndef OPENSSL_NO_EC2M
1471  char2_field_tests();
1472 #endif
1473 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1474  nistp_tests();
1475 #endif
1476  /* test the internal curves */
1477  internal_curve_test();
1478 
1479 #ifndef OPENSSL_NO_ENGINE
1480  ENGINE_cleanup();
1481 #endif
1482  CRYPTO_cleanup_all_ex_data();
1483  ERR_free_strings();
1484  ERR_remove_thread_state(NULL);
1485  CRYPTO_mem_leaks_fp(stderr);
1486 
1487  return 0;
1488  }
1489 #endif
Generated on Thu Jan 10 2013 09:53:36 for OpenSSL by   doxygen 1.8.2