summaryrefslogtreecommitdiff
path: root/src/regress/lib/libcrypto/bn
diff options
context:
space:
mode:
authormiod <>2014-04-15 18:01:18 +0000
committermiod <>2014-04-15 18:01:18 +0000
commitf385533fd495dad9242f2eded4a9017f658ee678 (patch)
tree861cdfe8fca12990e76c301d0853c2ab45705858 /src/regress/lib/libcrypto/bn
parentfea4fc3d16f04ff054803f9276895492961ab5e2 (diff)
downloadopenbsd-f385533fd495dad9242f2eded4a9017f658ee678.tar.gz
openbsd-f385533fd495dad9242f2eded4a9017f658ee678.tar.bz2
openbsd-f385533fd495dad9242f2eded4a9017f658ee678.zip
Import the OpenSSL libcrypto tests in a form suitable for our rergress
infrastructure. The following tests have not been imported, for their code lacks a licence: asn1, rsa, sha256, sha512, wp.
Diffstat (limited to 'src/regress/lib/libcrypto/bn')
-rw-r--r--src/regress/lib/libcrypto/bn/Makefile7
-rw-r--r--src/regress/lib/libcrypto/bn/bntest.c2000
2 files changed, 2007 insertions, 0 deletions
diff --git a/src/regress/lib/libcrypto/bn/Makefile b/src/regress/lib/libcrypto/bn/Makefile
new file mode 100644
index 0000000000..30bc0ef297
--- /dev/null
+++ b/src/regress/lib/libcrypto/bn/Makefile
@@ -0,0 +1,7 @@
1# $OpenBSD: Makefile,v 1.1.1.1 2014/04/15 18:01:15 miod Exp $
2
3PROG= bntest
4LDADD= -lcrypto
5DPADD= ${LIBCRYPTO}
6
7.include <bsd.regress.mk>
diff --git a/src/regress/lib/libcrypto/bn/bntest.c b/src/regress/lib/libcrypto/bn/bntest.c
new file mode 100644
index 0000000000..74a97e9c8a
--- /dev/null
+++ b/src/regress/lib/libcrypto/bn/bntest.c
@@ -0,0 +1,2000 @@
1/* crypto/bn/bntest.c */
2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
3 * All rights reserved.
4 *
5 * This package is an SSL implementation written
6 * by Eric Young (eay@cryptsoft.com).
7 * The implementation was written so as to conform with Netscapes SSL.
8 *
9 * This library is free for commercial and non-commercial use as long as
10 * the following conditions are aheared to. The following conditions
11 * apply to all code found in this distribution, be it the RC4, RSA,
12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
13 * included with this distribution is covered by the same copyright terms
14 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15 *
16 * Copyright remains Eric Young's, and as such any Copyright notices in
17 * the code are not to be removed.
18 * If this package is used in a product, Eric Young should be given attribution
19 * as the author of the parts of the library used.
20 * This can be in the form of a textual message at program startup or
21 * in documentation (online or textual) provided with the package.
22 *
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
25 * are met:
26 * 1. Redistributions of source code must retain the copyright
27 * notice, this list of conditions and the following disclaimer.
28 * 2. Redistributions in binary form must reproduce the above copyright
29 * notice, this list of conditions and the following disclaimer in the
30 * documentation and/or other materials provided with the distribution.
31 * 3. All advertising materials mentioning features or use of this software
32 * must display the following acknowledgement:
33 * "This product includes cryptographic software written by
34 * Eric Young (eay@cryptsoft.com)"
35 * The word 'cryptographic' can be left out if the rouines from the library
36 * being used are not cryptographic related :-).
37 * 4. If you include any Windows specific code (or a derivative thereof) from
38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40 *
41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
51 * SUCH DAMAGE.
52 *
53 * The licence and distribution terms for any publically available version or
54 * derivative of this code cannot be changed. i.e. this code cannot simply be
55 * copied and put under another distribution licence
56 * [including the GNU Public Licence.]
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 Eric Young open source
65 * license provided above.
66 *
67 * The binary polynomial arithmetic software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
71
72/* Until the key-gen callbacks are modified to use newer prototypes, we allow
73 * deprecated functions for openssl-internal code */
74#ifdef OPENSSL_NO_DEPRECATED
75#undef OPENSSL_NO_DEPRECATED
76#endif
77
78#include <stdio.h>
79#include <stdlib.h>
80#include <string.h>
81
82#include <openssl/bio.h>
83#include <openssl/bn.h>
84#include <openssl/rand.h>
85#include <openssl/x509.h>
86#include <openssl/err.h>
87
88const int num0 = 100; /* number of tests */
89const int num1 = 50; /* additional tests for some functions */
90const int num2 = 5; /* number of tests for slow functions */
91
92int test_add(BIO *bp);
93int test_sub(BIO *bp);
94int test_lshift1(BIO *bp);
95int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
96int test_rshift1(BIO *bp);
97int test_rshift(BIO *bp,BN_CTX *ctx);
98int test_div(BIO *bp,BN_CTX *ctx);
99int test_div_word(BIO *bp);
100int test_div_recp(BIO *bp,BN_CTX *ctx);
101int test_mul(BIO *bp);
102int test_sqr(BIO *bp,BN_CTX *ctx);
103int test_mont(BIO *bp,BN_CTX *ctx);
104int test_mod(BIO *bp,BN_CTX *ctx);
105int test_mod_mul(BIO *bp,BN_CTX *ctx);
106int test_mod_exp(BIO *bp,BN_CTX *ctx);
107int test_mod_exp_mont_consttime(BIO *bp,BN_CTX *ctx);
108int test_exp(BIO *bp,BN_CTX *ctx);
109int test_gf2m_add(BIO *bp);
110int test_gf2m_mod(BIO *bp);
111int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx);
112int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx);
113int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx);
114int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx);
115int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx);
116int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx);
117int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx);
118int test_kron(BIO *bp,BN_CTX *ctx);
119int test_sqrt(BIO *bp,BN_CTX *ctx);
120int rand_neg(void);
121static int results=0;
122
123static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
124"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
125
126static void message(BIO *out, char *m)
127 {
128 fprintf(stderr, "test %s\n", m);
129 BIO_puts(out, "print \"test ");
130 BIO_puts(out, m);
131 BIO_puts(out, "\\n\"\n");
132 }
133
134int main(int argc, char *argv[])
135 {
136 BN_CTX *ctx;
137 BIO *out;
138 char *outfile=NULL;
139
140 results = 0;
141
142 argc--;
143 argv++;
144 while (argc >= 1)
145 {
146 if (strcmp(*argv,"-results") == 0)
147 results=1;
148 else if (strcmp(*argv,"-out") == 0)
149 {
150 if (--argc < 1) break;
151 outfile= *(++argv);
152 }
153 argc--;
154 argv++;
155 }
156
157
158 ctx=BN_CTX_new();
159 if (ctx == NULL) exit(1);
160
161 out=BIO_new(BIO_s_file());
162 if (out == NULL) exit(1);
163 if (outfile == NULL)
164 {
165 BIO_set_fp(out,stdout,BIO_NOCLOSE);
166 }
167 else
168 {
169 if (!BIO_write_filename(out,outfile))
170 {
171 perror(outfile);
172 exit(1);
173 }
174 }
175
176 if (!results)
177 BIO_puts(out,"obase=16\nibase=16\n");
178
179 message(out,"BN_add");
180 if (!test_add(out)) goto err;
181 (void)BIO_flush(out);
182
183 message(out,"BN_sub");
184 if (!test_sub(out)) goto err;
185 (void)BIO_flush(out);
186
187 message(out,"BN_lshift1");
188 if (!test_lshift1(out)) goto err;
189 (void)BIO_flush(out);
190
191 message(out,"BN_lshift (fixed)");
192 if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
193 goto err;
194 (void)BIO_flush(out);
195
196 message(out,"BN_lshift");
197 if (!test_lshift(out,ctx,NULL)) goto err;
198 (void)BIO_flush(out);
199
200 message(out,"BN_rshift1");
201 if (!test_rshift1(out)) goto err;
202 (void)BIO_flush(out);
203
204 message(out,"BN_rshift");
205 if (!test_rshift(out,ctx)) goto err;
206 (void)BIO_flush(out);
207
208 message(out,"BN_sqr");
209 if (!test_sqr(out,ctx)) goto err;
210 (void)BIO_flush(out);
211
212 message(out,"BN_mul");
213 if (!test_mul(out)) goto err;
214 (void)BIO_flush(out);
215
216 message(out,"BN_div");
217 if (!test_div(out,ctx)) goto err;
218 (void)BIO_flush(out);
219
220 message(out,"BN_div_word");
221 if (!test_div_word(out)) goto err;
222 (void)BIO_flush(out);
223
224 message(out,"BN_div_recp");
225 if (!test_div_recp(out,ctx)) goto err;
226 (void)BIO_flush(out);
227
228 message(out,"BN_mod");
229 if (!test_mod(out,ctx)) goto err;
230 (void)BIO_flush(out);
231
232 message(out,"BN_mod_mul");
233 if (!test_mod_mul(out,ctx)) goto err;
234 (void)BIO_flush(out);
235
236 message(out,"BN_mont");
237 if (!test_mont(out,ctx)) goto err;
238 (void)BIO_flush(out);
239
240 message(out,"BN_mod_exp");
241 if (!test_mod_exp(out,ctx)) goto err;
242 (void)BIO_flush(out);
243
244 message(out,"BN_mod_exp_mont_consttime");
245 if (!test_mod_exp_mont_consttime(out,ctx)) goto err;
246 (void)BIO_flush(out);
247
248 message(out,"BN_exp");
249 if (!test_exp(out,ctx)) goto err;
250 (void)BIO_flush(out);
251
252 message(out,"BN_kronecker");
253 if (!test_kron(out,ctx)) goto err;
254 (void)BIO_flush(out);
255
256 message(out,"BN_mod_sqrt");
257 if (!test_sqrt(out,ctx)) goto err;
258 (void)BIO_flush(out);
259#ifndef OPENSSL_NO_EC2M
260 message(out,"BN_GF2m_add");
261 if (!test_gf2m_add(out)) goto err;
262 (void)BIO_flush(out);
263
264 message(out,"BN_GF2m_mod");
265 if (!test_gf2m_mod(out)) goto err;
266 (void)BIO_flush(out);
267
268 message(out,"BN_GF2m_mod_mul");
269 if (!test_gf2m_mod_mul(out,ctx)) goto err;
270 (void)BIO_flush(out);
271
272 message(out,"BN_GF2m_mod_sqr");
273 if (!test_gf2m_mod_sqr(out,ctx)) goto err;
274 (void)BIO_flush(out);
275
276 message(out,"BN_GF2m_mod_inv");
277 if (!test_gf2m_mod_inv(out,ctx)) goto err;
278 (void)BIO_flush(out);
279
280 message(out,"BN_GF2m_mod_div");
281 if (!test_gf2m_mod_div(out,ctx)) goto err;
282 (void)BIO_flush(out);
283
284 message(out,"BN_GF2m_mod_exp");
285 if (!test_gf2m_mod_exp(out,ctx)) goto err;
286 (void)BIO_flush(out);
287
288 message(out,"BN_GF2m_mod_sqrt");
289 if (!test_gf2m_mod_sqrt(out,ctx)) goto err;
290 (void)BIO_flush(out);
291
292 message(out,"BN_GF2m_mod_solve_quad");
293 if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
294 (void)BIO_flush(out);
295#endif
296 BN_CTX_free(ctx);
297 BIO_free(out);
298
299/**/
300 exit(0);
301err:
302 BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
303 * the failure, see test_bn in test/Makefile.ssl*/
304 (void)BIO_flush(out);
305 ERR_load_crypto_strings();
306 ERR_print_errors_fp(stderr);
307 exit(1);
308 }
309
310int test_add(BIO *bp)
311 {
312 BIGNUM a,b,c;
313 int i;
314
315 BN_init(&a);
316 BN_init(&b);
317 BN_init(&c);
318
319 BN_bntest_rand(&a,512,0,0);
320 for (i=0; i<num0; i++)
321 {
322 BN_bntest_rand(&b,450+i,0,0);
323 a.neg=rand_neg();
324 b.neg=rand_neg();
325 BN_add(&c,&a,&b);
326 if (bp != NULL)
327 {
328 if (!results)
329 {
330 BN_print(bp,&a);
331 BIO_puts(bp," + ");
332 BN_print(bp,&b);
333 BIO_puts(bp," - ");
334 }
335 BN_print(bp,&c);
336 BIO_puts(bp,"\n");
337 }
338 a.neg=!a.neg;
339 b.neg=!b.neg;
340 BN_add(&c,&c,&b);
341 BN_add(&c,&c,&a);
342 if(!BN_is_zero(&c))
343 {
344 fprintf(stderr,"Add test failed!\n");
345 return 0;
346 }
347 }
348 BN_free(&a);
349 BN_free(&b);
350 BN_free(&c);
351 return(1);
352 }
353
354int test_sub(BIO *bp)
355 {
356 BIGNUM a,b,c;
357 int i;
358
359 BN_init(&a);
360 BN_init(&b);
361 BN_init(&c);
362
363 for (i=0; i<num0+num1; i++)
364 {
365 if (i < num1)
366 {
367 BN_bntest_rand(&a,512,0,0);
368 BN_copy(&b,&a);
369 if (BN_set_bit(&a,i)==0) return(0);
370 BN_add_word(&b,i);
371 }
372 else
373 {
374 BN_bntest_rand(&b,400+i-num1,0,0);
375 a.neg=rand_neg();
376 b.neg=rand_neg();
377 }
378 BN_sub(&c,&a,&b);
379 if (bp != NULL)
380 {
381 if (!results)
382 {
383 BN_print(bp,&a);
384 BIO_puts(bp," - ");
385 BN_print(bp,&b);
386 BIO_puts(bp," - ");
387 }
388 BN_print(bp,&c);
389 BIO_puts(bp,"\n");
390 }
391 BN_add(&c,&c,&b);
392 BN_sub(&c,&c,&a);
393 if(!BN_is_zero(&c))
394 {
395 fprintf(stderr,"Subtract test failed!\n");
396 return 0;
397 }
398 }
399 BN_free(&a);
400 BN_free(&b);
401 BN_free(&c);
402 return(1);
403 }
404
405int test_div(BIO *bp, BN_CTX *ctx)
406 {
407 BIGNUM a,b,c,d,e;
408 int i;
409
410 BN_init(&a);
411 BN_init(&b);
412 BN_init(&c);
413 BN_init(&d);
414 BN_init(&e);
415
416 for (i=0; i<num0+num1; i++)
417 {
418 if (i < num1)
419 {
420 BN_bntest_rand(&a,400,0,0);
421 BN_copy(&b,&a);
422 BN_lshift(&a,&a,i);
423 BN_add_word(&a,i);
424 }
425 else
426 BN_bntest_rand(&b,50+3*(i-num1),0,0);
427 a.neg=rand_neg();
428 b.neg=rand_neg();
429 BN_div(&d,&c,&a,&b,ctx);
430 if (bp != NULL)
431 {
432 if (!results)
433 {
434 BN_print(bp,&a);
435 BIO_puts(bp," / ");
436 BN_print(bp,&b);
437 BIO_puts(bp," - ");
438 }
439 BN_print(bp,&d);
440 BIO_puts(bp,"\n");
441
442 if (!results)
443 {
444 BN_print(bp,&a);
445 BIO_puts(bp," % ");
446 BN_print(bp,&b);
447 BIO_puts(bp," - ");
448 }
449 BN_print(bp,&c);
450 BIO_puts(bp,"\n");
451 }
452 BN_mul(&e,&d,&b,ctx);
453 BN_add(&d,&e,&c);
454 BN_sub(&d,&d,&a);
455 if(!BN_is_zero(&d))
456 {
457 fprintf(stderr,"Division test failed!\n");
458 return 0;
459 }
460 }
461 BN_free(&a);
462 BN_free(&b);
463 BN_free(&c);
464 BN_free(&d);
465 BN_free(&e);
466 return(1);
467 }
468
469static void print_word(BIO *bp,BN_ULONG w)
470 {
471#ifdef SIXTY_FOUR_BIT
472 if (sizeof(w) > sizeof(unsigned long))
473 {
474 unsigned long h=(unsigned long)(w>>32),
475 l=(unsigned long)(w);
476
477 if (h) BIO_printf(bp,"%lX%08lX",h,l);
478 else BIO_printf(bp,"%lX",l);
479 return;
480 }
481#endif
482 BIO_printf(bp,BN_HEX_FMT1,w);
483 }
484
485int test_div_word(BIO *bp)
486 {
487 BIGNUM a,b;
488 BN_ULONG r,s;
489 int i;
490
491 BN_init(&a);
492 BN_init(&b);
493
494 for (i=0; i<num0; i++)
495 {
496 do {
497 BN_bntest_rand(&a,512,-1,0);
498 BN_bntest_rand(&b,BN_BITS2,-1,0);
499 s = b.d[0];
500 } while (!s);
501
502 BN_copy(&b, &a);
503 r = BN_div_word(&b, s);
504
505 if (bp != NULL)
506 {
507 if (!results)
508 {
509 BN_print(bp,&a);
510 BIO_puts(bp," / ");
511 print_word(bp,s);
512 BIO_puts(bp," - ");
513 }
514 BN_print(bp,&b);
515 BIO_puts(bp,"\n");
516
517 if (!results)
518 {
519 BN_print(bp,&a);
520 BIO_puts(bp," % ");
521 print_word(bp,s);
522 BIO_puts(bp," - ");
523 }
524 print_word(bp,r);
525 BIO_puts(bp,"\n");
526 }
527 BN_mul_word(&b,s);
528 BN_add_word(&b,r);
529 BN_sub(&b,&a,&b);
530 if(!BN_is_zero(&b))
531 {
532 fprintf(stderr,"Division (word) test failed!\n");
533 return 0;
534 }
535 }
536 BN_free(&a);
537 BN_free(&b);
538 return(1);
539 }
540
541int test_div_recp(BIO *bp, BN_CTX *ctx)
542 {
543 BIGNUM a,b,c,d,e;
544 BN_RECP_CTX recp;
545 int i;
546
547 BN_RECP_CTX_init(&recp);
548 BN_init(&a);
549 BN_init(&b);
550 BN_init(&c);
551 BN_init(&d);
552 BN_init(&e);
553
554 for (i=0; i<num0+num1; i++)
555 {
556 if (i < num1)
557 {
558 BN_bntest_rand(&a,400,0,0);
559 BN_copy(&b,&a);
560 BN_lshift(&a,&a,i);
561 BN_add_word(&a,i);
562 }
563 else
564 BN_bntest_rand(&b,50+3*(i-num1),0,0);
565 a.neg=rand_neg();
566 b.neg=rand_neg();
567 BN_RECP_CTX_set(&recp,&b,ctx);
568 BN_div_recp(&d,&c,&a,&recp,ctx);
569 if (bp != NULL)
570 {
571 if (!results)
572 {
573 BN_print(bp,&a);
574 BIO_puts(bp," / ");
575 BN_print(bp,&b);
576 BIO_puts(bp," - ");
577 }
578 BN_print(bp,&d);
579 BIO_puts(bp,"\n");
580
581 if (!results)
582 {
583 BN_print(bp,&a);
584 BIO_puts(bp," % ");
585 BN_print(bp,&b);
586 BIO_puts(bp," - ");
587 }
588 BN_print(bp,&c);
589 BIO_puts(bp,"\n");
590 }
591 BN_mul(&e,&d,&b,ctx);
592 BN_add(&d,&e,&c);
593 BN_sub(&d,&d,&a);
594 if(!BN_is_zero(&d))
595 {
596 fprintf(stderr,"Reciprocal division test failed!\n");
597 fprintf(stderr,"a=");
598 BN_print_fp(stderr,&a);
599 fprintf(stderr,"\nb=");
600 BN_print_fp(stderr,&b);
601 fprintf(stderr,"\n");
602 return 0;
603 }
604 }
605 BN_free(&a);
606 BN_free(&b);
607 BN_free(&c);
608 BN_free(&d);
609 BN_free(&e);
610 BN_RECP_CTX_free(&recp);
611 return(1);
612 }
613
614int test_mul(BIO *bp)
615 {
616 BIGNUM a,b,c,d,e;
617 int i;
618 BN_CTX *ctx;
619
620 ctx = BN_CTX_new();
621 if (ctx == NULL) exit(1);
622
623 BN_init(&a);
624 BN_init(&b);
625 BN_init(&c);
626 BN_init(&d);
627 BN_init(&e);
628
629 for (i=0; i<num0+num1; i++)
630 {
631 if (i <= num1)
632 {
633 BN_bntest_rand(&a,100,0,0);
634 BN_bntest_rand(&b,100,0,0);
635 }
636 else
637 BN_bntest_rand(&b,i-num1,0,0);
638 a.neg=rand_neg();
639 b.neg=rand_neg();
640 BN_mul(&c,&a,&b,ctx);
641 if (bp != NULL)
642 {
643 if (!results)
644 {
645 BN_print(bp,&a);
646 BIO_puts(bp," * ");
647 BN_print(bp,&b);
648 BIO_puts(bp," - ");
649 }
650 BN_print(bp,&c);
651 BIO_puts(bp,"\n");
652 }
653 BN_div(&d,&e,&c,&a,ctx);
654 BN_sub(&d,&d,&b);
655 if(!BN_is_zero(&d) || !BN_is_zero(&e))
656 {
657 fprintf(stderr,"Multiplication test failed!\n");
658 return 0;
659 }
660 }
661 BN_free(&a);
662 BN_free(&b);
663 BN_free(&c);
664 BN_free(&d);
665 BN_free(&e);
666 BN_CTX_free(ctx);
667 return(1);
668 }
669
670int test_sqr(BIO *bp, BN_CTX *ctx)
671 {
672 BIGNUM a,c,d,e;
673 int i;
674
675 BN_init(&a);
676 BN_init(&c);
677 BN_init(&d);
678 BN_init(&e);
679
680 for (i=0; i<num0; i++)
681 {
682 BN_bntest_rand(&a,40+i*10,0,0);
683 a.neg=rand_neg();
684 BN_sqr(&c,&a,ctx);
685 if (bp != NULL)
686 {
687 if (!results)
688 {
689 BN_print(bp,&a);
690 BIO_puts(bp," * ");
691 BN_print(bp,&a);
692 BIO_puts(bp," - ");
693 }
694 BN_print(bp,&c);
695 BIO_puts(bp,"\n");
696 }
697 BN_div(&d,&e,&c,&a,ctx);
698 BN_sub(&d,&d,&a);
699 if(!BN_is_zero(&d) || !BN_is_zero(&e))
700 {
701 fprintf(stderr,"Square test failed!\n");
702 return 0;
703 }
704 }
705 BN_free(&a);
706 BN_free(&c);
707 BN_free(&d);
708 BN_free(&e);
709 return(1);
710 }
711
712int test_mont(BIO *bp, BN_CTX *ctx)
713 {
714 BIGNUM a,b,c,d,A,B;
715 BIGNUM n;
716 int i;
717 BN_MONT_CTX *mont;
718
719 BN_init(&a);
720 BN_init(&b);
721 BN_init(&c);
722 BN_init(&d);
723 BN_init(&A);
724 BN_init(&B);
725 BN_init(&n);
726
727 mont=BN_MONT_CTX_new();
728 if (mont == NULL)
729 return 0;
730
731 BN_bntest_rand(&a,100,0,0); /**/
732 BN_bntest_rand(&b,100,0,0); /**/
733 for (i=0; i<num2; i++)
734 {
735 int bits = (200*(i+1))/num2;
736
737 if (bits == 0)
738 continue;
739 BN_bntest_rand(&n,bits,0,1);
740 BN_MONT_CTX_set(mont,&n,ctx);
741
742 BN_nnmod(&a,&a,&n,ctx);
743 BN_nnmod(&b,&b,&n,ctx);
744
745 BN_to_montgomery(&A,&a,mont,ctx);
746 BN_to_montgomery(&B,&b,mont,ctx);
747
748 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
749 BN_from_montgomery(&A,&c,mont,ctx);/**/
750 if (bp != NULL)
751 {
752 if (!results)
753 {
754 BN_print(bp,&a);
755 BIO_puts(bp," * ");
756 BN_print(bp,&b);
757 BIO_puts(bp," % ");
758 BN_print(bp,&(mont->N));
759 BIO_puts(bp," - ");
760 }
761 BN_print(bp,&A);
762 BIO_puts(bp,"\n");
763 }
764 BN_mod_mul(&d,&a,&b,&n,ctx);
765 BN_sub(&d,&d,&A);
766 if(!BN_is_zero(&d))
767 {
768 fprintf(stderr,"Montgomery multiplication test failed!\n");
769 return 0;
770 }
771 }
772 BN_MONT_CTX_free(mont);
773 BN_free(&a);
774 BN_free(&b);
775 BN_free(&c);
776 BN_free(&d);
777 BN_free(&A);
778 BN_free(&B);
779 BN_free(&n);
780 return(1);
781 }
782
783int test_mod(BIO *bp, BN_CTX *ctx)
784 {
785 BIGNUM *a,*b,*c,*d,*e;
786 int i;
787
788 a=BN_new();
789 b=BN_new();
790 c=BN_new();
791 d=BN_new();
792 e=BN_new();
793
794 BN_bntest_rand(a,1024,0,0); /**/
795 for (i=0; i<num0; i++)
796 {
797 BN_bntest_rand(b,450+i*10,0,0); /**/
798 a->neg=rand_neg();
799 b->neg=rand_neg();
800 BN_mod(c,a,b,ctx);/**/
801 if (bp != NULL)
802 {
803 if (!results)
804 {
805 BN_print(bp,a);
806 BIO_puts(bp," % ");
807 BN_print(bp,b);
808 BIO_puts(bp," - ");
809 }
810 BN_print(bp,c);
811 BIO_puts(bp,"\n");
812 }
813 BN_div(d,e,a,b,ctx);
814 BN_sub(e,e,c);
815 if(!BN_is_zero(e))
816 {
817 fprintf(stderr,"Modulo test failed!\n");
818 return 0;
819 }
820 }
821 BN_free(a);
822 BN_free(b);
823 BN_free(c);
824 BN_free(d);
825 BN_free(e);
826 return(1);
827 }
828
829int test_mod_mul(BIO *bp, BN_CTX *ctx)
830 {
831 BIGNUM *a,*b,*c,*d,*e;
832 int i,j;
833
834 a=BN_new();
835 b=BN_new();
836 c=BN_new();
837 d=BN_new();
838 e=BN_new();
839
840 for (j=0; j<3; j++) {
841 BN_bntest_rand(c,1024,0,0); /**/
842 for (i=0; i<num0; i++)
843 {
844 BN_bntest_rand(a,475+i*10,0,0); /**/
845 BN_bntest_rand(b,425+i*11,0,0); /**/
846 a->neg=rand_neg();
847 b->neg=rand_neg();
848 if (!BN_mod_mul(e,a,b,c,ctx))
849 {
850 unsigned long l;
851
852 while ((l=ERR_get_error()))
853 fprintf(stderr,"ERROR:%s\n",
854 ERR_error_string(l,NULL));
855 exit(1);
856 }
857 if (bp != NULL)
858 {
859 if (!results)
860 {
861 BN_print(bp,a);
862 BIO_puts(bp," * ");
863 BN_print(bp,b);
864 BIO_puts(bp," % ");
865 BN_print(bp,c);
866 if ((a->neg ^ b->neg) && !BN_is_zero(e))
867 {
868 /* If (a*b) % c is negative, c must be added
869 * in order to obtain the normalized remainder
870 * (new with OpenSSL 0.9.7, previous versions of
871 * BN_mod_mul could generate negative results)
872 */
873 BIO_puts(bp," + ");
874 BN_print(bp,c);
875 }
876 BIO_puts(bp," - ");
877 }
878 BN_print(bp,e);
879 BIO_puts(bp,"\n");
880 }
881 BN_mul(d,a,b,ctx);
882 BN_sub(d,d,e);
883 BN_div(a,b,d,c,ctx);
884 if(!BN_is_zero(b))
885 {
886 fprintf(stderr,"Modulo multiply test failed!\n");
887 ERR_print_errors_fp(stderr);
888 return 0;
889 }
890 }
891 }
892 BN_free(a);
893 BN_free(b);
894 BN_free(c);
895 BN_free(d);
896 BN_free(e);
897 return(1);
898 }
899
900int test_mod_exp(BIO *bp, BN_CTX *ctx)
901 {
902 BIGNUM *a,*b,*c,*d,*e;
903 int i;
904
905 a=BN_new();
906 b=BN_new();
907 c=BN_new();
908 d=BN_new();
909 e=BN_new();
910
911 BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
912 for (i=0; i<num2; i++)
913 {
914 BN_bntest_rand(a,20+i*5,0,0); /**/
915 BN_bntest_rand(b,2+i,0,0); /**/
916
917 if (!BN_mod_exp(d,a,b,c,ctx))
918 return(0);
919
920 if (bp != NULL)
921 {
922 if (!results)
923 {
924 BN_print(bp,a);
925 BIO_puts(bp," ^ ");
926 BN_print(bp,b);
927 BIO_puts(bp," % ");
928 BN_print(bp,c);
929 BIO_puts(bp," - ");
930 }
931 BN_print(bp,d);
932 BIO_puts(bp,"\n");
933 }
934 BN_exp(e,a,b,ctx);
935 BN_sub(e,e,d);
936 BN_div(a,b,e,c,ctx);
937 if(!BN_is_zero(b))
938 {
939 fprintf(stderr,"Modulo exponentiation test failed!\n");
940 return 0;
941 }
942 }
943 BN_free(a);
944 BN_free(b);
945 BN_free(c);
946 BN_free(d);
947 BN_free(e);
948 return(1);
949 }
950
951int test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx)
952 {
953 BIGNUM *a,*b,*c,*d,*e;
954 int i;
955
956 a=BN_new();
957 b=BN_new();
958 c=BN_new();
959 d=BN_new();
960 e=BN_new();
961
962 BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
963 for (i=0; i<num2; i++)
964 {
965 BN_bntest_rand(a,20+i*5,0,0); /**/
966 BN_bntest_rand(b,2+i,0,0); /**/
967
968 if (!BN_mod_exp_mont_consttime(d,a,b,c,ctx,NULL))
969 return(00);
970
971 if (bp != NULL)
972 {
973 if (!results)
974 {
975 BN_print(bp,a);
976 BIO_puts(bp," ^ ");
977 BN_print(bp,b);
978 BIO_puts(bp," % ");
979 BN_print(bp,c);
980 BIO_puts(bp," - ");
981 }
982 BN_print(bp,d);
983 BIO_puts(bp,"\n");
984 }
985 BN_exp(e,a,b,ctx);
986 BN_sub(e,e,d);
987 BN_div(a,b,e,c,ctx);
988 if(!BN_is_zero(b))
989 {
990 fprintf(stderr,"Modulo exponentiation test failed!\n");
991 return 0;
992 }
993 }
994 BN_free(a);
995 BN_free(b);
996 BN_free(c);
997 BN_free(d);
998 BN_free(e);
999 return(1);
1000 }
1001
1002int test_exp(BIO *bp, BN_CTX *ctx)
1003 {
1004 BIGNUM *a,*b,*d,*e,*one;
1005 int i;
1006
1007 a=BN_new();
1008 b=BN_new();
1009 d=BN_new();
1010 e=BN_new();
1011 one=BN_new();
1012 BN_one(one);
1013
1014 for (i=0; i<num2; i++)
1015 {
1016 BN_bntest_rand(a,20+i*5,0,0); /**/
1017 BN_bntest_rand(b,2+i,0,0); /**/
1018
1019 if (BN_exp(d,a,b,ctx) <= 0)
1020 return(0);
1021
1022 if (bp != NULL)
1023 {
1024 if (!results)
1025 {
1026 BN_print(bp,a);
1027 BIO_puts(bp," ^ ");
1028 BN_print(bp,b);
1029 BIO_puts(bp," - ");
1030 }
1031 BN_print(bp,d);
1032 BIO_puts(bp,"\n");
1033 }
1034 BN_one(e);
1035 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
1036 BN_mul(e,e,a,ctx);
1037 BN_sub(e,e,d);
1038 if(!BN_is_zero(e))
1039 {
1040 fprintf(stderr,"Exponentiation test failed!\n");
1041 return 0;
1042 }
1043 }
1044 BN_free(a);
1045 BN_free(b);
1046 BN_free(d);
1047 BN_free(e);
1048 BN_free(one);
1049 return(1);
1050 }
1051#ifndef OPENSSL_NO_EC2M
1052int test_gf2m_add(BIO *bp)
1053 {
1054 BIGNUM a,b,c;
1055 int i, ret = 0;
1056
1057 BN_init(&a);
1058 BN_init(&b);
1059 BN_init(&c);
1060
1061 for (i=0; i<num0; i++)
1062 {
1063 BN_rand(&a,512,0,0);
1064 BN_copy(&b, BN_value_one());
1065 a.neg=rand_neg();
1066 b.neg=rand_neg();
1067 BN_GF2m_add(&c,&a,&b);
1068#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1069 if (bp != NULL)
1070 {
1071 if (!results)
1072 {
1073 BN_print(bp,&a);
1074 BIO_puts(bp," ^ ");
1075 BN_print(bp,&b);
1076 BIO_puts(bp," = ");
1077 }
1078 BN_print(bp,&c);
1079 BIO_puts(bp,"\n");
1080 }
1081#endif
1082 /* Test that two added values have the correct parity. */
1083 if((BN_is_odd(&a) && BN_is_odd(&c)) || (!BN_is_odd(&a) && !BN_is_odd(&c)))
1084 {
1085 fprintf(stderr,"GF(2^m) addition test (a) failed!\n");
1086 goto err;
1087 }
1088 BN_GF2m_add(&c,&c,&c);
1089 /* Test that c + c = 0. */
1090 if(!BN_is_zero(&c))
1091 {
1092 fprintf(stderr,"GF(2^m) addition test (b) failed!\n");
1093 goto err;
1094 }
1095 }
1096 ret = 1;
1097 err:
1098 BN_free(&a);
1099 BN_free(&b);
1100 BN_free(&c);
1101 return ret;
1102 }
1103
1104int test_gf2m_mod(BIO *bp)
1105 {
1106 BIGNUM *a,*b[2],*c,*d,*e;
1107 int i, j, ret = 0;
1108 int p0[] = {163,7,6,3,0,-1};
1109 int p1[] = {193,15,0,-1};
1110
1111 a=BN_new();
1112 b[0]=BN_new();
1113 b[1]=BN_new();
1114 c=BN_new();
1115 d=BN_new();
1116 e=BN_new();
1117
1118 BN_GF2m_arr2poly(p0, b[0]);
1119 BN_GF2m_arr2poly(p1, b[1]);
1120
1121 for (i=0; i<num0; i++)
1122 {
1123 BN_bntest_rand(a, 1024, 0, 0);
1124 for (j=0; j < 2; j++)
1125 {
1126 BN_GF2m_mod(c, a, b[j]);
1127#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1128 if (bp != NULL)
1129 {
1130 if (!results)
1131 {
1132 BN_print(bp,a);
1133 BIO_puts(bp," % ");
1134 BN_print(bp,b[j]);
1135 BIO_puts(bp," - ");
1136 BN_print(bp,c);
1137 BIO_puts(bp,"\n");
1138 }
1139 }
1140#endif
1141 BN_GF2m_add(d, a, c);
1142 BN_GF2m_mod(e, d, b[j]);
1143 /* Test that a + (a mod p) mod p == 0. */
1144 if(!BN_is_zero(e))
1145 {
1146 fprintf(stderr,"GF(2^m) modulo test failed!\n");
1147 goto err;
1148 }
1149 }
1150 }
1151 ret = 1;
1152 err:
1153 BN_free(a);
1154 BN_free(b[0]);
1155 BN_free(b[1]);
1156 BN_free(c);
1157 BN_free(d);
1158 BN_free(e);
1159 return ret;
1160 }
1161
1162int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx)
1163 {
1164 BIGNUM *a,*b[2],*c,*d,*e,*f,*g,*h;
1165 int i, j, ret = 0;
1166 int p0[] = {163,7,6,3,0,-1};
1167 int p1[] = {193,15,0,-1};
1168
1169 a=BN_new();
1170 b[0]=BN_new();
1171 b[1]=BN_new();
1172 c=BN_new();
1173 d=BN_new();
1174 e=BN_new();
1175 f=BN_new();
1176 g=BN_new();
1177 h=BN_new();
1178
1179 BN_GF2m_arr2poly(p0, b[0]);
1180 BN_GF2m_arr2poly(p1, b[1]);
1181
1182 for (i=0; i<num0; i++)
1183 {
1184 BN_bntest_rand(a, 1024, 0, 0);
1185 BN_bntest_rand(c, 1024, 0, 0);
1186 BN_bntest_rand(d, 1024, 0, 0);
1187 for (j=0; j < 2; j++)
1188 {
1189 BN_GF2m_mod_mul(e, a, c, b[j], ctx);
1190#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1191 if (bp != NULL)
1192 {
1193 if (!results)
1194 {
1195 BN_print(bp,a);
1196 BIO_puts(bp," * ");
1197 BN_print(bp,c);
1198 BIO_puts(bp," % ");
1199 BN_print(bp,b[j]);
1200 BIO_puts(bp," - ");
1201 BN_print(bp,e);
1202 BIO_puts(bp,"\n");
1203 }
1204 }
1205#endif
1206 BN_GF2m_add(f, a, d);
1207 BN_GF2m_mod_mul(g, f, c, b[j], ctx);
1208 BN_GF2m_mod_mul(h, d, c, b[j], ctx);
1209 BN_GF2m_add(f, e, g);
1210 BN_GF2m_add(f, f, h);
1211 /* Test that (a+d)*c = a*c + d*c. */
1212 if(!BN_is_zero(f))
1213 {
1214 fprintf(stderr,"GF(2^m) modular multiplication test failed!\n");
1215 goto err;
1216 }
1217 }
1218 }
1219 ret = 1;
1220 err:
1221 BN_free(a);
1222 BN_free(b[0]);
1223 BN_free(b[1]);
1224 BN_free(c);
1225 BN_free(d);
1226 BN_free(e);
1227 BN_free(f);
1228 BN_free(g);
1229 BN_free(h);
1230 return ret;
1231 }
1232
1233int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx)
1234 {
1235 BIGNUM *a,*b[2],*c,*d;
1236 int i, j, ret = 0;
1237 int p0[] = {163,7,6,3,0,-1};
1238 int p1[] = {193,15,0,-1};
1239
1240 a=BN_new();
1241 b[0]=BN_new();
1242 b[1]=BN_new();
1243 c=BN_new();
1244 d=BN_new();
1245
1246 BN_GF2m_arr2poly(p0, b[0]);
1247 BN_GF2m_arr2poly(p1, b[1]);
1248
1249 for (i=0; i<num0; i++)
1250 {
1251 BN_bntest_rand(a, 1024, 0, 0);
1252 for (j=0; j < 2; j++)
1253 {
1254 BN_GF2m_mod_sqr(c, a, b[j], ctx);
1255 BN_copy(d, a);
1256 BN_GF2m_mod_mul(d, a, d, b[j], ctx);
1257#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1258 if (bp != NULL)
1259 {
1260 if (!results)
1261 {
1262 BN_print(bp,a);
1263 BIO_puts(bp," ^ 2 % ");
1264 BN_print(bp,b[j]);
1265 BIO_puts(bp, " = ");
1266 BN_print(bp,c);
1267 BIO_puts(bp,"; a * a = ");
1268 BN_print(bp,d);
1269 BIO_puts(bp,"\n");
1270 }
1271 }
1272#endif
1273 BN_GF2m_add(d, c, d);
1274 /* Test that a*a = a^2. */
1275 if(!BN_is_zero(d))
1276 {
1277 fprintf(stderr,"GF(2^m) modular squaring test failed!\n");
1278 goto err;
1279 }
1280 }
1281 }
1282 ret = 1;
1283 err:
1284 BN_free(a);
1285 BN_free(b[0]);
1286 BN_free(b[1]);
1287 BN_free(c);
1288 BN_free(d);
1289 return ret;
1290 }
1291
1292int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx)
1293 {
1294 BIGNUM *a,*b[2],*c,*d;
1295 int i, j, ret = 0;
1296 int p0[] = {163,7,6,3,0,-1};
1297 int p1[] = {193,15,0,-1};
1298
1299 a=BN_new();
1300 b[0]=BN_new();
1301 b[1]=BN_new();
1302 c=BN_new();
1303 d=BN_new();
1304
1305 BN_GF2m_arr2poly(p0, b[0]);
1306 BN_GF2m_arr2poly(p1, b[1]);
1307
1308 for (i=0; i<num0; i++)
1309 {
1310 BN_bntest_rand(a, 512, 0, 0);
1311 for (j=0; j < 2; j++)
1312 {
1313 BN_GF2m_mod_inv(c, a, b[j], ctx);
1314 BN_GF2m_mod_mul(d, a, c, b[j], ctx);
1315#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1316 if (bp != NULL)
1317 {
1318 if (!results)
1319 {
1320 BN_print(bp,a);
1321 BIO_puts(bp, " * ");
1322 BN_print(bp,c);
1323 BIO_puts(bp," - 1 % ");
1324 BN_print(bp,b[j]);
1325 BIO_puts(bp,"\n");
1326 }
1327 }
1328#endif
1329 /* Test that ((1/a)*a) = 1. */
1330 if(!BN_is_one(d))
1331 {
1332 fprintf(stderr,"GF(2^m) modular inversion test failed!\n");
1333 goto err;
1334 }
1335 }
1336 }
1337 ret = 1;
1338 err:
1339 BN_free(a);
1340 BN_free(b[0]);
1341 BN_free(b[1]);
1342 BN_free(c);
1343 BN_free(d);
1344 return ret;
1345 }
1346
1347int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx)
1348 {
1349 BIGNUM *a,*b[2],*c,*d,*e,*f;
1350 int i, j, ret = 0;
1351 int p0[] = {163,7,6,3,0,-1};
1352 int p1[] = {193,15,0,-1};
1353
1354 a=BN_new();
1355 b[0]=BN_new();
1356 b[1]=BN_new();
1357 c=BN_new();
1358 d=BN_new();
1359 e=BN_new();
1360 f=BN_new();
1361
1362 BN_GF2m_arr2poly(p0, b[0]);
1363 BN_GF2m_arr2poly(p1, b[1]);
1364
1365 for (i=0; i<num0; i++)
1366 {
1367 BN_bntest_rand(a, 512, 0, 0);
1368 BN_bntest_rand(c, 512, 0, 0);
1369 for (j=0; j < 2; j++)
1370 {
1371 BN_GF2m_mod_div(d, a, c, b[j], ctx);
1372 BN_GF2m_mod_mul(e, d, c, b[j], ctx);
1373 BN_GF2m_mod_div(f, a, e, b[j], ctx);
1374#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1375 if (bp != NULL)
1376 {
1377 if (!results)
1378 {
1379 BN_print(bp,a);
1380 BIO_puts(bp, " = ");
1381 BN_print(bp,c);
1382 BIO_puts(bp," * ");
1383 BN_print(bp,d);
1384 BIO_puts(bp, " % ");
1385 BN_print(bp,b[j]);
1386 BIO_puts(bp,"\n");
1387 }
1388 }
1389#endif
1390 /* Test that ((a/c)*c)/a = 1. */
1391 if(!BN_is_one(f))
1392 {
1393 fprintf(stderr,"GF(2^m) modular division test failed!\n");
1394 goto err;
1395 }
1396 }
1397 }
1398 ret = 1;
1399 err:
1400 BN_free(a);
1401 BN_free(b[0]);
1402 BN_free(b[1]);
1403 BN_free(c);
1404 BN_free(d);
1405 BN_free(e);
1406 BN_free(f);
1407 return ret;
1408 }
1409
1410int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx)
1411 {
1412 BIGNUM *a,*b[2],*c,*d,*e,*f;
1413 int i, j, ret = 0;
1414 int p0[] = {163,7,6,3,0,-1};
1415 int p1[] = {193,15,0,-1};
1416
1417 a=BN_new();
1418 b[0]=BN_new();
1419 b[1]=BN_new();
1420 c=BN_new();
1421 d=BN_new();
1422 e=BN_new();
1423 f=BN_new();
1424
1425 BN_GF2m_arr2poly(p0, b[0]);
1426 BN_GF2m_arr2poly(p1, b[1]);
1427
1428 for (i=0; i<num0; i++)
1429 {
1430 BN_bntest_rand(a, 512, 0, 0);
1431 BN_bntest_rand(c, 512, 0, 0);
1432 BN_bntest_rand(d, 512, 0, 0);
1433 for (j=0; j < 2; j++)
1434 {
1435 BN_GF2m_mod_exp(e, a, c, b[j], ctx);
1436 BN_GF2m_mod_exp(f, a, d, b[j], ctx);
1437 BN_GF2m_mod_mul(e, e, f, b[j], ctx);
1438 BN_add(f, c, d);
1439 BN_GF2m_mod_exp(f, a, f, b[j], ctx);
1440#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1441 if (bp != NULL)
1442 {
1443 if (!results)
1444 {
1445 BN_print(bp,a);
1446 BIO_puts(bp, " ^ (");
1447 BN_print(bp,c);
1448 BIO_puts(bp," + ");
1449 BN_print(bp,d);
1450 BIO_puts(bp, ") = ");
1451 BN_print(bp,e);
1452 BIO_puts(bp, "; - ");
1453 BN_print(bp,f);
1454 BIO_puts(bp, " % ");
1455 BN_print(bp,b[j]);
1456 BIO_puts(bp,"\n");
1457 }
1458 }
1459#endif
1460 BN_GF2m_add(f, e, f);
1461 /* Test that a^(c+d)=a^c*a^d. */
1462 if(!BN_is_zero(f))
1463 {
1464 fprintf(stderr,"GF(2^m) modular exponentiation test failed!\n");
1465 goto err;
1466 }
1467 }
1468 }
1469 ret = 1;
1470 err:
1471 BN_free(a);
1472 BN_free(b[0]);
1473 BN_free(b[1]);
1474 BN_free(c);
1475 BN_free(d);
1476 BN_free(e);
1477 BN_free(f);
1478 return ret;
1479 }
1480
1481int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx)
1482 {
1483 BIGNUM *a,*b[2],*c,*d,*e,*f;
1484 int i, j, ret = 0;
1485 int p0[] = {163,7,6,3,0,-1};
1486 int p1[] = {193,15,0,-1};
1487
1488 a=BN_new();
1489 b[0]=BN_new();
1490 b[1]=BN_new();
1491 c=BN_new();
1492 d=BN_new();
1493 e=BN_new();
1494 f=BN_new();
1495
1496 BN_GF2m_arr2poly(p0, b[0]);
1497 BN_GF2m_arr2poly(p1, b[1]);
1498
1499 for (i=0; i<num0; i++)
1500 {
1501 BN_bntest_rand(a, 512, 0, 0);
1502 for (j=0; j < 2; j++)
1503 {
1504 BN_GF2m_mod(c, a, b[j]);
1505 BN_GF2m_mod_sqrt(d, a, b[j], ctx);
1506 BN_GF2m_mod_sqr(e, d, b[j], ctx);
1507#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1508 if (bp != NULL)
1509 {
1510 if (!results)
1511 {
1512 BN_print(bp,d);
1513 BIO_puts(bp, " ^ 2 - ");
1514 BN_print(bp,a);
1515 BIO_puts(bp,"\n");
1516 }
1517 }
1518#endif
1519 BN_GF2m_add(f, c, e);
1520 /* Test that d^2 = a, where d = sqrt(a). */
1521 if(!BN_is_zero(f))
1522 {
1523 fprintf(stderr,"GF(2^m) modular square root test failed!\n");
1524 goto err;
1525 }
1526 }
1527 }
1528 ret = 1;
1529 err:
1530 BN_free(a);
1531 BN_free(b[0]);
1532 BN_free(b[1]);
1533 BN_free(c);
1534 BN_free(d);
1535 BN_free(e);
1536 BN_free(f);
1537 return ret;
1538 }
1539
1540int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx)
1541 {
1542 BIGNUM *a,*b[2],*c,*d,*e;
1543 int i, j, s = 0, t, ret = 0;
1544 int p0[] = {163,7,6,3,0,-1};
1545 int p1[] = {193,15,0,-1};
1546
1547 a=BN_new();
1548 b[0]=BN_new();
1549 b[1]=BN_new();
1550 c=BN_new();
1551 d=BN_new();
1552 e=BN_new();
1553
1554 BN_GF2m_arr2poly(p0, b[0]);
1555 BN_GF2m_arr2poly(p1, b[1]);
1556
1557 for (i=0; i<num0; i++)
1558 {
1559 BN_bntest_rand(a, 512, 0, 0);
1560 for (j=0; j < 2; j++)
1561 {
1562 t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
1563 if (t)
1564 {
1565 s++;
1566 BN_GF2m_mod_sqr(d, c, b[j], ctx);
1567 BN_GF2m_add(d, c, d);
1568 BN_GF2m_mod(e, a, b[j]);
1569#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1570 if (bp != NULL)
1571 {
1572 if (!results)
1573 {
1574 BN_print(bp,c);
1575 BIO_puts(bp, " is root of z^2 + z = ");
1576 BN_print(bp,a);
1577 BIO_puts(bp, " % ");
1578 BN_print(bp,b[j]);
1579 BIO_puts(bp, "\n");
1580 }
1581 }
1582#endif
1583 BN_GF2m_add(e, e, d);
1584 /* Test that solution of quadratic c satisfies c^2 + c = a. */
1585 if(!BN_is_zero(e))
1586 {
1587 fprintf(stderr,"GF(2^m) modular solve quadratic test failed!\n");
1588 goto err;
1589 }
1590
1591 }
1592 else
1593 {
1594#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
1595 if (bp != NULL)
1596 {
1597 if (!results)
1598 {
1599 BIO_puts(bp, "There are no roots of z^2 + z = ");
1600 BN_print(bp,a);
1601 BIO_puts(bp, " % ");
1602 BN_print(bp,b[j]);
1603 BIO_puts(bp, "\n");
1604 }
1605 }
1606#endif
1607 }
1608 }
1609 }
1610 if (s == 0)
1611 {
1612 fprintf(stderr,"All %i tests of GF(2^m) modular solve quadratic resulted in no roots;\n", num0);
1613 fprintf(stderr,"this is very unlikely and probably indicates an error.\n");
1614 goto err;
1615 }
1616 ret = 1;
1617 err:
1618 BN_free(a);
1619 BN_free(b[0]);
1620 BN_free(b[1]);
1621 BN_free(c);
1622 BN_free(d);
1623 BN_free(e);
1624 return ret;
1625 }
1626#endif
1627static int genprime_cb(int p, int n, BN_GENCB *arg)
1628 {
1629 char c='*';
1630
1631 if (p == 0) c='.';
1632 if (p == 1) c='+';
1633 if (p == 2) c='*';
1634 if (p == 3) c='\n';
1635 putc(c, stderr);
1636 fflush(stderr);
1637 return 1;
1638 }
1639
1640int test_kron(BIO *bp, BN_CTX *ctx)
1641 {
1642 BN_GENCB cb;
1643 BIGNUM *a,*b,*r,*t;
1644 int i;
1645 int legendre, kronecker;
1646 int ret = 0;
1647
1648 a = BN_new();
1649 b = BN_new();
1650 r = BN_new();
1651 t = BN_new();
1652 if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
1653
1654 BN_GENCB_set(&cb, genprime_cb, NULL);
1655
1656 /* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol).
1657 * In this case we know that if b is prime, then BN_kronecker(a, b, ctx)
1658 * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
1659 * So we generate a random prime b and compare these values
1660 * for a number of random a's. (That is, we run the Solovay-Strassen
1661 * primality test to confirm that b is prime, except that we
1662 * don't want to test whether b is prime but whether BN_kronecker
1663 * works.) */
1664
1665 if (!BN_generate_prime_ex(b, 512, 0, NULL, NULL, &cb)) goto err;
1666 b->neg = rand_neg();
1667 putc('\n', stderr);
1668
1669 for (i = 0; i < num0; i++)
1670 {
1671 if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
1672 a->neg = rand_neg();
1673
1674 /* t := (|b|-1)/2 (note that b is odd) */
1675 if (!BN_copy(t, b)) goto err;
1676 t->neg = 0;
1677 if (!BN_sub_word(t, 1)) goto err;
1678 if (!BN_rshift1(t, t)) goto err;
1679 /* r := a^t mod b */
1680 b->neg=0;
1681
1682 if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
1683 b->neg=1;
1684
1685 if (BN_is_word(r, 1))
1686 legendre = 1;
1687 else if (BN_is_zero(r))
1688 legendre = 0;
1689 else
1690 {
1691 if (!BN_add_word(r, 1)) goto err;
1692 if (0 != BN_ucmp(r, b))
1693 {
1694 fprintf(stderr, "Legendre symbol computation failed\n");
1695 goto err;
1696 }
1697 legendre = -1;
1698 }
1699
1700 kronecker = BN_kronecker(a, b, ctx);
1701 if (kronecker < -1) goto err;
1702 /* we actually need BN_kronecker(a, |b|) */
1703 if (a->neg && b->neg)
1704 kronecker = -kronecker;
1705
1706 if (legendre != kronecker)
1707 {
1708 fprintf(stderr, "legendre != kronecker; a = ");
1709 BN_print_fp(stderr, a);
1710 fprintf(stderr, ", b = ");
1711 BN_print_fp(stderr, b);
1712 fprintf(stderr, "\n");
1713 goto err;
1714 }
1715
1716 putc('.', stderr);
1717 fflush(stderr);
1718 }
1719
1720 putc('\n', stderr);
1721 fflush(stderr);
1722 ret = 1;
1723 err:
1724 if (a != NULL) BN_free(a);
1725 if (b != NULL) BN_free(b);
1726 if (r != NULL) BN_free(r);
1727 if (t != NULL) BN_free(t);
1728 return ret;
1729 }
1730
1731int test_sqrt(BIO *bp, BN_CTX *ctx)
1732 {
1733 BN_GENCB cb;
1734 BIGNUM *a,*p,*r;
1735 int i, j;
1736 int ret = 0;
1737
1738 a = BN_new();
1739 p = BN_new();
1740 r = BN_new();
1741 if (a == NULL || p == NULL || r == NULL) goto err;
1742
1743 BN_GENCB_set(&cb, genprime_cb, NULL);
1744
1745 for (i = 0; i < 16; i++)
1746 {
1747 if (i < 8)
1748 {
1749 unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
1750
1751 if (!BN_set_word(p, primes[i])) goto err;
1752 }
1753 else
1754 {
1755 if (!BN_set_word(a, 32)) goto err;
1756 if (!BN_set_word(r, 2*i + 1)) goto err;
1757
1758 if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb)) goto err;
1759 putc('\n', stderr);
1760 }
1761 p->neg = rand_neg();
1762
1763 for (j = 0; j < num2; j++)
1764 {
1765 /* construct 'a' such that it is a square modulo p,
1766 * but in general not a proper square and not reduced modulo p */
1767 if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
1768 if (!BN_nnmod(r, r, p, ctx)) goto err;
1769 if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1770 if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
1771 if (!BN_nnmod(a, a, p, ctx)) goto err;
1772 if (!BN_mod_sqr(a, a, p, ctx)) goto err;
1773 if (!BN_mul(a, a, r, ctx)) goto err;
1774 if (rand_neg())
1775 if (!BN_sub(a, a, p)) goto err;
1776
1777 if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
1778 if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1779
1780 if (!BN_nnmod(a, a, p, ctx)) goto err;
1781
1782 if (BN_cmp(a, r) != 0)
1783 {
1784 fprintf(stderr, "BN_mod_sqrt failed: a = ");
1785 BN_print_fp(stderr, a);
1786 fprintf(stderr, ", r = ");
1787 BN_print_fp(stderr, r);
1788 fprintf(stderr, ", p = ");
1789 BN_print_fp(stderr, p);
1790 fprintf(stderr, "\n");
1791 goto err;
1792 }
1793
1794 putc('.', stderr);
1795 fflush(stderr);
1796 }
1797
1798 putc('\n', stderr);
1799 fflush(stderr);
1800 }
1801 ret = 1;
1802 err:
1803 if (a != NULL) BN_free(a);
1804 if (p != NULL) BN_free(p);
1805 if (r != NULL) BN_free(r);
1806 return ret;
1807 }
1808
1809int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1810 {
1811 BIGNUM *a,*b,*c,*d;
1812 int i;
1813
1814 b=BN_new();
1815 c=BN_new();
1816 d=BN_new();
1817 BN_one(c);
1818
1819 if(a_)
1820 a=a_;
1821 else
1822 {
1823 a=BN_new();
1824 BN_bntest_rand(a,200,0,0); /**/
1825 a->neg=rand_neg();
1826 }
1827 for (i=0; i<num0; i++)
1828 {
1829 BN_lshift(b,a,i+1);
1830 BN_add(c,c,c);
1831 if (bp != NULL)
1832 {
1833 if (!results)
1834 {
1835 BN_print(bp,a);
1836 BIO_puts(bp," * ");
1837 BN_print(bp,c);
1838 BIO_puts(bp," - ");
1839 }
1840 BN_print(bp,b);
1841 BIO_puts(bp,"\n");
1842 }
1843 BN_mul(d,a,c,ctx);
1844 BN_sub(d,d,b);
1845 if(!BN_is_zero(d))
1846 {
1847 fprintf(stderr,"Left shift test failed!\n");
1848 fprintf(stderr,"a=");
1849 BN_print_fp(stderr,a);
1850 fprintf(stderr,"\nb=");
1851 BN_print_fp(stderr,b);
1852 fprintf(stderr,"\nc=");
1853 BN_print_fp(stderr,c);
1854 fprintf(stderr,"\nd=");
1855 BN_print_fp(stderr,d);
1856 fprintf(stderr,"\n");
1857 return 0;
1858 }
1859 }
1860 BN_free(a);
1861 BN_free(b);
1862 BN_free(c);
1863 BN_free(d);
1864 return(1);
1865 }
1866
1867int test_lshift1(BIO *bp)
1868 {
1869 BIGNUM *a,*b,*c;
1870 int i;
1871
1872 a=BN_new();
1873 b=BN_new();
1874 c=BN_new();
1875
1876 BN_bntest_rand(a,200,0,0); /**/
1877 a->neg=rand_neg();
1878 for (i=0; i<num0; i++)
1879 {
1880 BN_lshift1(b,a);
1881 if (bp != NULL)
1882 {
1883 if (!results)
1884 {
1885 BN_print(bp,a);
1886 BIO_puts(bp," * 2");
1887 BIO_puts(bp," - ");
1888 }
1889 BN_print(bp,b);
1890 BIO_puts(bp,"\n");
1891 }
1892 BN_add(c,a,a);
1893 BN_sub(a,b,c);
1894 if(!BN_is_zero(a))
1895 {
1896 fprintf(stderr,"Left shift one test failed!\n");
1897 return 0;
1898 }
1899
1900 BN_copy(a,b);
1901 }
1902 BN_free(a);
1903 BN_free(b);
1904 BN_free(c);
1905 return(1);
1906 }
1907
1908int test_rshift(BIO *bp,BN_CTX *ctx)
1909 {
1910 BIGNUM *a,*b,*c,*d,*e;
1911 int i;
1912
1913 a=BN_new();
1914 b=BN_new();
1915 c=BN_new();
1916 d=BN_new();
1917 e=BN_new();
1918 BN_one(c);
1919
1920 BN_bntest_rand(a,200,0,0); /**/
1921 a->neg=rand_neg();
1922 for (i=0; i<num0; i++)
1923 {
1924 BN_rshift(b,a,i+1);
1925 BN_add(c,c,c);
1926 if (bp != NULL)
1927 {
1928 if (!results)
1929 {
1930 BN_print(bp,a);
1931 BIO_puts(bp," / ");
1932 BN_print(bp,c);
1933 BIO_puts(bp," - ");
1934 }
1935 BN_print(bp,b);
1936 BIO_puts(bp,"\n");
1937 }
1938 BN_div(d,e,a,c,ctx);
1939 BN_sub(d,d,b);
1940 if(!BN_is_zero(d))
1941 {
1942 fprintf(stderr,"Right shift test failed!\n");
1943 return 0;
1944 }
1945 }
1946 BN_free(a);
1947 BN_free(b);
1948 BN_free(c);
1949 BN_free(d);
1950 BN_free(e);
1951 return(1);
1952 }
1953
1954int test_rshift1(BIO *bp)
1955 {
1956 BIGNUM *a,*b,*c;
1957 int i;
1958
1959 a=BN_new();
1960 b=BN_new();
1961 c=BN_new();
1962
1963 BN_bntest_rand(a,200,0,0); /**/
1964 a->neg=rand_neg();
1965 for (i=0; i<num0; i++)
1966 {
1967 BN_rshift1(b,a);
1968 if (bp != NULL)
1969 {
1970 if (!results)
1971 {
1972 BN_print(bp,a);
1973 BIO_puts(bp," / 2");
1974 BIO_puts(bp," - ");
1975 }
1976 BN_print(bp,b);
1977 BIO_puts(bp,"\n");
1978 }
1979 BN_sub(c,a,b);
1980 BN_sub(c,c,b);
1981 if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
1982 {
1983 fprintf(stderr,"Right shift one test failed!\n");
1984 return 0;
1985 }
1986 BN_copy(a,b);
1987 }
1988 BN_free(a);
1989 BN_free(b);
1990 BN_free(c);
1991 return(1);
1992 }
1993
1994int rand_neg(void)
1995 {
1996 static unsigned int neg=0;
1997 static int sign[8]={0,0,0,1,1,0,1,1};
1998
1999 return(sign[(neg++)%8]);
2000 }
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2026-02-13 00:32:16 +0000