crypto/bn/bntest.c

   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 #include <stdio.h>
  60 #include <stdlib.h>
  61 #include <string.h>
  62
  63 #include "openssl/e_os.h"
  64
  65 #include <openssl/bio.h>
  66 #include <openssl/bn.h>
  67 #include <openssl/rand.h>
  68 #include <openssl/x509.h>
  69 #include <openssl/err.h>
  70
  71 #ifdef WINDOWS
  72 #include "../bio/bss_file.c"
  73 #endif
  74
  75 const int num0 = 100; /* number of tests */
  76 const int num1 = 50;  /* additional tests for some functions */
  77 const int num2 = 5;   /* number of tests for slow functions */
  78
  79 int test_add(BIO *bp);
  80 int test_sub(BIO *bp);
  81 int test_lshift1(BIO *bp);
  82 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
  83 int test_rshift1(BIO *bp);
  84 int test_rshift(BIO *bp,BN_CTX *ctx);
  85 int test_div(BIO *bp,BN_CTX *ctx);
  86 int test_div_recp(BIO *bp,BN_CTX *ctx);
  87 int test_mul(BIO *bp);
  88 int test_sqr(BIO *bp,BN_CTX *ctx);
  89 int test_mont(BIO *bp,BN_CTX *ctx);
  90 int test_mod(BIO *bp,BN_CTX *ctx);
  91 int test_mod_mul(BIO *bp,BN_CTX *ctx);
  92 int test_mod_exp(BIO *bp,BN_CTX *ctx);
  93 int test_exp(BIO *bp,BN_CTX *ctx);
  94 int test_kron(BIO *bp,BN_CTX *ctx);
  95 int test_sqrt(BIO *bp,BN_CTX *ctx);
  96 int rand_neg(void);
  97 static int results=0;
  98
  99 #ifdef NO_STDIO
 100 #define APPS_WIN16
 101 #include "bss_file.c"
 102 #endif
 103
 104 static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
 105 "\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
 106
 107 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
 108
 109 static void message(BIO *out, char *m)
 110         {
 111         fprintf(stderr, "test %s\n", m);
 112 #if defined(linux) || defined(__FreeBSD__) /* can we use GNU bc features? */
 113         BIO_puts(out, "print \"test ");
 114         BIO_puts(out, m);
 115         BIO_puts(out, "\\n\"\n");
 116 #endif
 117         }
 118
 119 int main(int argc, char *argv[])
 120         {
 121         BN_CTX *ctx;
 122         BIO *out;
 123         char *outfile=NULL;
 124
 125         results = 0;
 126
 127         RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
 128
 129         argc--;
 130         argv++;
 131         while (argc >= 1)
 132                 {
 133                 if (strcmp(*argv,"-results") == 0)
 134                         results=1;
 135                 else if (strcmp(*argv,"-out") == 0)
 136                         {
 137                         if (--argc < 1) break;
 138                         outfile= *(++argv);
 139                         }
 140                 argc--;
 141                 argv++;
 142                 }
 143
 144
 145         ctx=BN_CTX_new();
 146         if (ctx == NULL) exit(1);
 147
 148         out=BIO_new(BIO_s_file());
 149         if (out == NULL) exit(1);
 150         if (outfile == NULL)
 151                 {
 152                 BIO_set_fp(out,stdout,BIO_NOCLOSE);
 153                 }
 154         else
 155                 {
 156                 if (!BIO_write_filename(out,outfile))
 157                         {
 158                         perror(outfile);
 159                         exit(1);
 160                         }
 161                 }
 162
 163         if (!results)
 164                 BIO_puts(out,"obase=16\nibase=16\n");
 165
 166         message(out,"BN_add");
 167         if (!test_add(out)) goto err;
 168         BIO_flush(out);
 169
 170         message(out,"BN_sub");
 171         if (!test_sub(out)) goto err;
 172         BIO_flush(out);
 173
 174         message(out,"BN_lshift1");
 175         if (!test_lshift1(out)) goto err;
 176         BIO_flush(out);
 177
 178         message(out,"BN_lshift (fixed)");
 179         if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
 180             goto err;
 181         BIO_flush(out);
 182
 183         message(out,"BN_lshift");
 184         if (!test_lshift(out,ctx,NULL)) goto err;
 185         BIO_flush(out);
 186
 187         message(out,"BN_rshift1");
 188         if (!test_rshift1(out)) goto err;
 189         BIO_flush(out);
 190
 191         message(out,"BN_rshift");
 192         if (!test_rshift(out,ctx)) goto err;
 193         BIO_flush(out);
 194
 195         message(out,"BN_sqr");
 196         if (!test_sqr(out,ctx)) goto err;
 197         BIO_flush(out);
 198
 199         message(out,"BN_mul");
 200         if (!test_mul(out)) goto err;
 201         BIO_flush(out);
 202
 203         message(out,"BN_div");
 204         if (!test_div(out,ctx)) goto err;
 205         BIO_flush(out);
 206
 207         message(out,"BN_div_recp");
 208         if (!test_div_recp(out,ctx)) goto err;
 209         BIO_flush(out);
 210
 211         message(out,"BN_mod");
 212         if (!test_mod(out,ctx)) goto err;
 213         BIO_flush(out);
 214
 215         message(out,"BN_mod_mul");
 216         if (!test_mod_mul(out,ctx)) goto err;
 217         BIO_flush(out);
 218
 219         message(out,"BN_mont");
 220         if (!test_mont(out,ctx)) goto err;
 221         BIO_flush(out);
 222
 223         message(out,"BN_mod_exp");
 224         if (!test_mod_exp(out,ctx)) goto err;
 225         BIO_flush(out);
 226
 227         message(out,"BN_exp");
 228         if (!test_exp(out,ctx)) goto err;
 229         BIO_flush(out);
 230
 231         message(out,"BN_kronecker");
 232         if (!test_kron(out,ctx)) goto err;
 233         BIO_flush(out);
 234
 235         message(out,"BN_mod_sqrt");
 236         if (!test_sqrt(out,ctx)) goto err;
 237         BIO_flush(out);
 238
 239         BN_CTX_free(ctx);
 240         BIO_free(out);
 241
 242 /**/
 243         exit(0);
 244 err:
 245         BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
 246                               * the failure, see test_bn in test/Makefile.ssl*/
 247         BIO_flush(out);
 248         ERR_load_crypto_strings();
 249         ERR_print_errors_fp(stderr);
 250         exit(1);
 251         return(1);
 252         }
 253
 254 int test_add(BIO *bp)
 255         {
 256         BIGNUM a,b,c;
 257         int i;
 258
 259         BN_init(&a);
 260         BN_init(&b);
 261         BN_init(&c);
 262
 263         BN_bntest_rand(&a,512,0,0);
 264         for (i=0; i<num0; i++)
 265                 {
 266                 BN_bntest_rand(&b,450+i,0,0);
 267                 a.neg=rand_neg();
 268                 b.neg=rand_neg();
 269                 BN_add(&c,&a,&b);
 270                 if (bp != NULL)
 271                         {
 272                         if (!results)
 273                                 {
 274                                 BN_print(bp,&a);
 275                                 BIO_puts(bp," + ");
 276                                 BN_print(bp,&b);
 277                                 BIO_puts(bp," - ");
 278                                 }
 279                         BN_print(bp,&c);
 280                         BIO_puts(bp,"\n");
 281                         }
 282                 a.neg=!a.neg;
 283                 b.neg=!b.neg;
 284                 BN_add(&c,&c,&b);
 285                 BN_add(&c,&c,&a);
 286                 if(!BN_is_zero(&c))
 287                     {
 288                     fprintf(stderr,"Add test failed!\n");
 289                     return 0;
 290                     }
 291                 }
 292         BN_free(&a);
 293         BN_free(&b);
 294         BN_free(&c);
 295         return(1);
 296         }
 297
 298 int test_sub(BIO *bp)
 299         {
 300         BIGNUM a,b,c;
 301         int i;
 302
 303         BN_init(&a);
 304         BN_init(&b);
 305         BN_init(&c);
 306
 307         for (i=0; i<num0+num1; i++)
 308                 {
 309                 if (i < num1)
 310                         {
 311                         BN_bntest_rand(&a,512,0,0);
 312                         BN_copy(&b,&a);
 313                         if (BN_set_bit(&a,i)==0) return(0);
 314                         BN_add_word(&b,i);
 315                         }
 316                 else
 317                         {
 318                         BN_bntest_rand(&b,400+i-num1,0,0);
 319                         a.neg=rand_neg();
 320                         b.neg=rand_neg();
 321                         }
 322                 BN_sub(&c,&a,&b);
 323                 if (bp != NULL)
 324                         {
 325                         if (!results)
 326                                 {
 327                                 BN_print(bp,&a);
 328                                 BIO_puts(bp," - ");
 329                                 BN_print(bp,&b);
 330                                 BIO_puts(bp," - ");
 331                                 }
 332                         BN_print(bp,&c);
 333                         BIO_puts(bp,"\n");
 334                         }
 335                 BN_add(&c,&c,&b);
 336                 BN_sub(&c,&c,&a);
 337                 if(!BN_is_zero(&c))
 338                     {
 339                     fprintf(stderr,"Subtract test failed!\n");
 340                     return 0;
 341                     }
 342                 }
 343         BN_free(&a);
 344         BN_free(&b);
 345         BN_free(&c);
 346         return(1);
 347         }
 348
 349 int test_div(BIO *bp, BN_CTX *ctx)
 350         {
 351         BIGNUM a,b,c,d,e;
 352         int i;
 353
 354         BN_init(&a);
 355         BN_init(&b);
 356         BN_init(&c);
 357         BN_init(&d);
 358         BN_init(&e);
 359
 360         for (i=0; i<num0+num1; i++)
 361                 {
 362                 if (i < num1)
 363                         {
 364                         BN_bntest_rand(&a,400,0,0);
 365                         BN_copy(&b,&a);
 366                         BN_lshift(&a,&a,i);
 367                         BN_add_word(&a,i);
 368                         }
 369                 else
 370                         BN_bntest_rand(&b,50+3*(i-num1),0,0);
 371                 a.neg=rand_neg();
 372                 b.neg=rand_neg();
 373                 BN_div(&d,&c,&a,&b,ctx);
 374                 if (bp != NULL)
 375                         {
 376                         if (!results)
 377                                 {
 378                                 BN_print(bp,&a);
 379                                 BIO_puts(bp," / ");
 380                                 BN_print(bp,&b);
 381                                 BIO_puts(bp," - ");
 382                                 }
 383                         BN_print(bp,&d);
 384                         BIO_puts(bp,"\n");
 385
 386                         if (!results)
 387                                 {
 388                                 BN_print(bp,&a);
 389                                 BIO_puts(bp," % ");
 390                                 BN_print(bp,&b);
 391                                 BIO_puts(bp," - ");
 392                                 }
 393                         BN_print(bp,&c);
 394                         BIO_puts(bp,"\n");
 395                         }
 396                 BN_mul(&e,&d,&b,ctx);
 397                 BN_add(&d,&e,&c);
 398                 BN_sub(&d,&d,&a);
 399                 if(!BN_is_zero(&d))
 400                     {
 401                     fprintf(stderr,"Division test failed!\n");
 402                     return 0;
 403                     }
 404                 }
 405         BN_free(&a);
 406         BN_free(&b);
 407         BN_free(&c);
 408         BN_free(&d);
 409         BN_free(&e);
 410         return(1);
 411         }
 412
 413 int test_div_recp(BIO *bp, BN_CTX *ctx)
 414         {
 415         BIGNUM a,b,c,d,e;
 416         BN_RECP_CTX recp;
 417         int i;
 418
 419         BN_RECP_CTX_init(&recp);
 420         BN_init(&a);
 421         BN_init(&b);
 422         BN_init(&c);
 423         BN_init(&d);
 424         BN_init(&e);
 425
 426         for (i=0; i<num0+num1; i++)
 427                 {
 428                 if (i < num1)
 429                         {
 430                         BN_bntest_rand(&a,400,0,0);
 431                         BN_copy(&b,&a);
 432                         BN_lshift(&a,&a,i);
 433                         BN_add_word(&a,i);
 434                         }
 435                 else
 436                         BN_bntest_rand(&b,50+3*(i-num1),0,0);
 437                 a.neg=rand_neg();
 438                 b.neg=rand_neg();
 439                 BN_RECP_CTX_set(&recp,&b,ctx);
 440                 BN_div_recp(&d,&c,&a,&recp,ctx);
 441                 if (bp != NULL)
 442                         {
 443                         if (!results)
 444                                 {
 445                                 BN_print(bp,&a);
 446                                 BIO_puts(bp," / ");
 447                                 BN_print(bp,&b);
 448                                 BIO_puts(bp," - ");
 449                                 }
 450                         BN_print(bp,&d);
 451                         BIO_puts(bp,"\n");
 452
 453                         if (!results)
 454                                 {
 455                                 BN_print(bp,&a);
 456                                 BIO_puts(bp," % ");
 457                                 BN_print(bp,&b);
 458                                 BIO_puts(bp," - ");
 459                                 }
 460                         BN_print(bp,&c);
 461                         BIO_puts(bp,"\n");
 462                         }
 463                 BN_mul(&e,&d,&b,ctx);
 464                 BN_add(&d,&e,&c);
 465                 BN_sub(&d,&d,&a);
 466                 if(!BN_is_zero(&d))
 467                     {
 468                     fprintf(stderr,"Reciprocal division test failed!\n");
 469                     fprintf(stderr,"a=");
 470                     BN_print_fp(stderr,&a);
 471                     fprintf(stderr,"\nb=");
 472                     BN_print_fp(stderr,&b);
 473                     fprintf(stderr,"\n");
 474                     return 0;
 475                     }
 476                 }
 477         BN_free(&a);
 478         BN_free(&b);
 479         BN_free(&c);
 480         BN_free(&d);
 481         BN_free(&e);
 482         BN_RECP_CTX_free(&recp);
 483         return(1);
 484         }
 485
 486 int test_mul(BIO *bp)
 487         {
 488         BIGNUM a,b,c,d,e;
 489         int i;
 490         BN_CTX ctx;
 491
 492         BN_CTX_init(&ctx);
 493         BN_init(&a);
 494         BN_init(&b);
 495         BN_init(&c);
 496         BN_init(&d);
 497         BN_init(&e);
 498
 499         for (i=0; i<num0+num1; i++)
 500                 {
 501                 if (i <= num1)
 502                         {
 503                         BN_bntest_rand(&a,100,0,0);
 504                         BN_bntest_rand(&b,100,0,0);
 505                         }
 506                 else
 507                         BN_bntest_rand(&b,i-num1,0,0);
 508                 a.neg=rand_neg();
 509                 b.neg=rand_neg();
 510                 BN_mul(&c,&a,&b,&ctx);
 511                 if (bp != NULL)
 512                         {
 513                         if (!results)
 514                                 {
 515                                 BN_print(bp,&a);
 516                                 BIO_puts(bp," * ");
 517                                 BN_print(bp,&b);
 518                                 BIO_puts(bp," - ");
 519                                 }
 520                         BN_print(bp,&c);
 521                         BIO_puts(bp,"\n");
 522                         }
 523                 BN_div(&d,&e,&c,&a,&ctx);
 524                 BN_sub(&d,&d,&b);
 525                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 526                     {
 527                     fprintf(stderr,"Multiplication test failed!\n");
 528                     return 0;
 529                     }
 530                 }
 531         BN_free(&a);
 532         BN_free(&b);
 533         BN_free(&c);
 534         BN_free(&d);
 535         BN_free(&e);
 536         BN_CTX_free(&ctx);
 537         return(1);
 538         }
 539
 540 int test_sqr(BIO *bp, BN_CTX *ctx)
 541         {
 542         BIGNUM a,c,d,e;
 543         int i;
 544
 545         BN_init(&a);
 546         BN_init(&c);
 547         BN_init(&d);
 548         BN_init(&e);
 549
 550         for (i=0; i<num0; i++)
 551                 {
 552                 BN_bntest_rand(&a,40+i*10,0,0);
 553                 a.neg=rand_neg();
 554                 BN_sqr(&c,&a,ctx);
 555                 if (bp != NULL)
 556                         {
 557                         if (!results)
 558                                 {
 559                                 BN_print(bp,&a);
 560                                 BIO_puts(bp," * ");
 561                                 BN_print(bp,&a);
 562                                 BIO_puts(bp," - ");
 563                                 }
 564                         BN_print(bp,&c);
 565                         BIO_puts(bp,"\n");
 566                         }
 567                 BN_div(&d,&e,&c,&a,ctx);
 568                 BN_sub(&d,&d,&a);
 569                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 570                     {
 571                     fprintf(stderr,"Square test failed!\n");
 572                     return 0;
 573                     }
 574                 }
 575         BN_free(&a);
 576         BN_free(&c);
 577         BN_free(&d);
 578         BN_free(&e);
 579         return(1);
 580         }
 581
 582 int test_mont(BIO *bp, BN_CTX *ctx)
 583         {
 584         BIGNUM a,b,c,d,A,B;
 585         BIGNUM n;
 586         int i;
 587         BN_MONT_CTX *mont;
 588
 589         BN_init(&a);
 590         BN_init(&b);
 591         BN_init(&c);
 592         BN_init(&d);
 593         BN_init(&A);
 594         BN_init(&B);
 595         BN_init(&n);
 596
 597         mont=BN_MONT_CTX_new();
 598
 599         BN_bntest_rand(&a,100,0,0); /**/
 600         BN_bntest_rand(&b,100,0,0); /**/
 601         for (i=0; i<num2; i++)
 602                 {
 603                 int bits = (200*(i+1))/num2;
 604
 605                 if (bits == 0)
 606                         continue;
 607                 BN_bntest_rand(&n,bits,0,1);
 608                 BN_MONT_CTX_set(mont,&n,ctx);
 609
 610                 BN_nnmod(&a,&a,&n,ctx);
 611                 BN_nnmod(&b,&b,&n,ctx);
 612
 613                 BN_to_montgomery(&A,&a,mont,ctx);
 614                 BN_to_montgomery(&B,&b,mont,ctx);
 615
 616                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 617                 BN_from_montgomery(&A,&c,mont,ctx);/**/
 618                 if (bp != NULL)
 619                         {
 620                         if (!results)
 621                                 {
 622 #ifdef undef
 623 fprintf(stderr,"%d * %d %% %d\n",
 624 BN_num_bits(&a),
 625 BN_num_bits(&b),
 626 BN_num_bits(mont->N));
 627 #endif
 628                                 BN_print(bp,&a);
 629                                 BIO_puts(bp," * ");
 630                                 BN_print(bp,&b);
 631                                 BIO_puts(bp," % ");
 632                                 BN_print(bp,&(mont->N));
 633                                 BIO_puts(bp," - ");
 634                                 }
 635                         BN_print(bp,&A);
 636                         BIO_puts(bp,"\n");
 637                         }
 638                 BN_mod_mul(&d,&a,&b,&n,ctx);
 639                 BN_sub(&d,&d,&A);
 640                 if(!BN_is_zero(&d))
 641                     {
 642                     fprintf(stderr,"Montgomery multiplication test failed!\n");
 643                     return 0;
 644                     }
 645                 }
 646         BN_MONT_CTX_free(mont);
 647         BN_free(&a);
 648         BN_free(&b);
 649         BN_free(&c);
 650         BN_free(&d);
 651         BN_free(&A);
 652         BN_free(&B);
 653         BN_free(&n);
 654         return(1);
 655         }
 656
 657 int test_mod(BIO *bp, BN_CTX *ctx)
 658         {
 659         BIGNUM *a,*b,*c,*d,*e;
 660         int i;
 661
 662         a=BN_new();
 663         b=BN_new();
 664         c=BN_new();
 665         d=BN_new();
 666         e=BN_new();
 667
 668         BN_bntest_rand(a,1024,0,0); /**/
 669         for (i=0; i<num0; i++)
 670                 {
 671                 BN_bntest_rand(b,450+i*10,0,0); /**/
 672                 a->neg=rand_neg();
 673                 b->neg=rand_neg();
 674                 BN_mod(c,a,b,ctx);/**/
 675                 if (bp != NULL)
 676                         {
 677                         if (!results)
 678                                 {
 679                                 BN_print(bp,a);
 680                                 BIO_puts(bp," % ");
 681                                 BN_print(bp,b);
 682                                 BIO_puts(bp," - ");
 683                                 }
 684                         BN_print(bp,c);
 685                         BIO_puts(bp,"\n");
 686                         }
 687                 BN_div(d,e,a,b,ctx);
 688                 BN_sub(e,e,c);
 689                 if(!BN_is_zero(e))
 690                     {
 691                     fprintf(stderr,"Modulo test failed!\n");
 692                     return 0;
 693                     }
 694                 }
 695         BN_free(a);
 696         BN_free(b);
 697         BN_free(c);
 698         BN_free(d);
 699         BN_free(e);
 700         return(1);
 701         }
 702
 703 int test_mod_mul(BIO *bp, BN_CTX *ctx)
 704         {
 705         BIGNUM *a,*b,*c,*d,*e;
 706         int i;
 707
 708         a=BN_new();
 709         b=BN_new();
 710         c=BN_new();
 711         d=BN_new();
 712         e=BN_new();
 713
 714         BN_bntest_rand(c,1024,0,0); /**/
 715         for (i=0; i<num0; i++)
 716                 {
 717                 BN_bntest_rand(a,475+i*10,0,0); /**/
 718                 BN_bntest_rand(b,425+i*11,0,0); /**/
 719                 a->neg=rand_neg();
 720                 b->neg=rand_neg();
 721                 if (!BN_mod_mul(e,a,b,c,ctx))
 722                         {
 723                         unsigned long l;
 724
 725                         while ((l=ERR_get_error()))
 726                                 fprintf(stderr,"ERROR:%s\n",
 727                                         ERR_error_string(l,NULL));
 728                         exit(1);
 729                         }
 730                 if (bp != NULL)
 731                         {
 732                         if (!results)
 733                                 {
 734                                 BN_print(bp,a);
 735                                 BIO_puts(bp," * ");
 736                                 BN_print(bp,b);
 737                                 BIO_puts(bp," % ");
 738                                 BN_print(bp,c);
 739                                 if ((a->neg ^ b->neg) && !BN_is_zero(e))
 740                                         {
 741                                         /* If  (a*b) % c  is negative,  c  must be added
 742                                          * in order to obtain the normalized remainder
 743                                          * (new with OpenSSL 0.9.7, previous versions of
 744                                          * BN_mod_mul could generate negative results)
 745                                          */
 746                                         BIO_puts(bp," + ");
 747                                         BN_print(bp,c);
 748                                         }
 749                                 BIO_puts(bp," - ");
 750                                 }
 751                         BN_print(bp,e);
 752                         BIO_puts(bp,"\n");
 753                         }
 754                 BN_mul(d,a,b,ctx);
 755                 BN_sub(d,d,e);
 756                 BN_div(a,b,d,c,ctx);
 757                 if(!BN_is_zero(b))
 758                     {
 759                     fprintf(stderr,"Modulo multiply test failed!\n");
 760                     ERR_print_errors_fp(stderr);
 761                     return 0;
 762                     }
 763                 }
 764         BN_free(a);
 765         BN_free(b);
 766         BN_free(c);
 767         BN_free(d);
 768         BN_free(e);
 769         return(1);
 770         }
 771
 772 int test_mod_exp(BIO *bp, BN_CTX *ctx)
 773         {
 774         BIGNUM *a,*b,*c,*d,*e;
 775         int i;
 776
 777         a=BN_new();
 778         b=BN_new();
 779         c=BN_new();
 780         d=BN_new();
 781         e=BN_new();
 782
 783         BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
 784         for (i=0; i<num2; i++)
 785                 {
 786                 BN_bntest_rand(a,20+i*5,0,0); /**/
 787                 BN_bntest_rand(b,2+i,0,0); /**/
 788
 789                 if (!BN_mod_exp(d,a,b,c,ctx))
 790                         return(00);
 791
 792                 if (bp != NULL)
 793                         {
 794                         if (!results)
 795                                 {
 796                                 BN_print(bp,a);
 797                                 BIO_puts(bp," ^ ");
 798                                 BN_print(bp,b);
 799                                 BIO_puts(bp," % ");
 800                                 BN_print(bp,c);
 801                                 BIO_puts(bp," - ");
 802                                 }
 803                         BN_print(bp,d);
 804                         BIO_puts(bp,"\n");
 805                         }
 806                 BN_exp(e,a,b,ctx);
 807                 BN_sub(e,e,d);
 808                 BN_div(a,b,e,c,ctx);
 809                 if(!BN_is_zero(b))
 810                     {
 811                     fprintf(stderr,"Modulo exponentiation test failed!\n");
 812                     return 0;
 813                     }
 814                 }
 815         BN_free(a);
 816         BN_free(b);
 817         BN_free(c);
 818         BN_free(d);
 819         BN_free(e);
 820         return(1);
 821         }
 822
 823 int test_exp(BIO *bp, BN_CTX *ctx)
 824         {
 825         BIGNUM *a,*b,*d,*e,*one;
 826         int i;
 827
 828         a=BN_new();
 829         b=BN_new();
 830         d=BN_new();
 831         e=BN_new();
 832         one=BN_new();
 833         BN_one(one);
 834
 835         for (i=0; i<num2; i++)
 836                 {
 837                 BN_bntest_rand(a,20+i*5,0,0); /**/
 838                 BN_bntest_rand(b,2+i,0,0); /**/
 839
 840                 if (!BN_exp(d,a,b,ctx))
 841                         return(00);
 842
 843                 if (bp != NULL)
 844                         {
 845                         if (!results)
 846                                 {
 847                                 BN_print(bp,a);
 848                                 BIO_puts(bp," ^ ");
 849                                 BN_print(bp,b);
 850                                 BIO_puts(bp," - ");
 851                                 }
 852                         BN_print(bp,d);
 853                         BIO_puts(bp,"\n");
 854                         }
 855                 BN_one(e);
 856                 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
 857                     BN_mul(e,e,a,ctx);
 858                 BN_sub(e,e,d);
 859                 if(!BN_is_zero(e))
 860                     {
 861                     fprintf(stderr,"Exponentiation test failed!\n");
 862                     return 0;
 863                     }
 864                 }
 865         BN_free(a);
 866         BN_free(b);
 867         BN_free(d);
 868         BN_free(e);
 869         BN_free(one);
 870         return(1);
 871         }
 872
 873 static void genprime_cb(int p, int n, void *arg)
 874         {
 875         char c='*';
 876
 877         if (p == 0) c='.';
 878         if (p == 1) c='+';
 879         if (p == 2) c='*';
 880         if (p == 3) c='\n';
 881         putc(c, stderr);
 882         fflush(stderr);
 883         (void)n;
 884         (void)arg;
 885         }
 886
 887 int test_kron(BIO *bp, BN_CTX *ctx)
 888         {
 889         BIGNUM *a,*b,*r,*t;
 890         int i;
 891         int legendre, kronecker;
 892         int ret = 0;
 893
 894         a = BN_new();
 895         b = BN_new();
 896         r = BN_new();
 897         t = BN_new();
 898         if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
 899
 900         /* We test BN_kronecker(a, b, ctx) just for  b  odd (Jacobi symbol).
 901          * In this case we know that if  b  is prime, then BN_kronecker(a, b, ctx)
 902          * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
 903          * So we generate a random prime  b  and compare these values
 904          * for a number of random  a's.  (That is, we run the Solovay-Strassen
 905          * primality test to confirm that  b  is prime, except that we
 906          * don't want to test whether  b  is prime but whether BN_kronecker
 907          * works.) */
 908
 909         if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
 910         putc('\n', stderr);
 911
 912         for (i = 0; i < num0; i++)
 913                 {
 914                 if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
 915                 a->neg = rand_neg();
 916
 917                 /* t := (b-1)/2  (note that b is odd) */
 918                 if (!BN_copy(t, b)) goto err;
 919                 if (!BN_sub_word(t, 1)) goto err;
 920                 if (!BN_rshift1(t, t)) goto err;
 921                 /* r := a^t mod b */
 922                 if (!BN_mod_exp(r, a, t, b, ctx)) goto err;
 923
 924                 if (BN_is_word(r, 1))
 925                         legendre = 1;
 926                 else if (BN_is_zero(r))
 927                         legendre = 0;
 928                 else
 929                         {
 930                         if (!BN_add_word(r, 1)) goto err;
 931                         if (0 != BN_cmp(r, b))
 932                                 {
 933                                 fprintf(stderr, "Legendre symbol computation failed\n");
 934                                 goto err;
 935                                 }
 936                         legendre = -1;
 937                         }
 938
 939                 kronecker = BN_kronecker(a, b, ctx);
 940                 if (kronecker < -1) goto err;
 941
 942                 if (legendre != kronecker)
 943                         {
 944                         fprintf(stderr, "legendre != kronecker; a = ");
 945                         BN_print_fp(stderr, a);
 946                         fprintf(stderr, ", b = ");
 947                         BN_print_fp(stderr, b);
 948                         fprintf(stderr, "\n");
 949                         goto err;
 950                         }
 951
 952                 putc('.', stderr);
 953                 fflush(stderr);
 954                 }
 955
 956         putc('\n', stderr);
 957         fflush(stderr);
 958         ret = 1;
 959  err:
 960         if (a != NULL) BN_free(a);
 961         if (b != NULL) BN_free(b);
 962         if (r != NULL) BN_free(r);
 963         if (t != NULL) BN_free(t);
 964         return ret;
 965         }
 966
 967 int test_sqrt(BIO *bp, BN_CTX *ctx)
 968         {
 969         BIGNUM *a,*p,*r;
 970         int i, j;
 971         int ret = 0;
 972
 973         a = BN_new();
 974         p = BN_new();
 975         r = BN_new();
 976         if (a == NULL || p == NULL || r == NULL) goto err;
 977
 978         for (i = 0; i < 16; i++)
 979                 {
 980                 if (i < 8)
 981                         {
 982                         unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
 983
 984                         if (!BN_set_word(p, primes[i])) goto err;
 985                         }
 986                 else
 987                         {
 988                         if (!BN_set_word(a, 32)) goto err;
 989                         if (!BN_set_word(r, 2*i + 1)) goto err;
 990
 991                         if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
 992                         putc('\n', stderr);
 993                         }
 994
 995                 for (j = 0; j < num2; j++)
 996                         {
 997                         /* construct 'a' such that it is a square modulo p,
 998                          * but in general not a proper square and not reduced modulo p */
 999                         if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
1000                         if (!BN_nnmod(r, r, p, ctx)) goto err;
1001                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1002                         if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
1003                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1004                         if (!BN_mod_sqr(a, a, p, ctx)) goto err;
1005                         if (!BN_mul(a, a, r, ctx)) goto err;
1006
1007                         if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
1008                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1009
1010                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1011
1012                         if (BN_cmp(a, r) != 0)
1013                                 {
1014                                 fprintf(stderr, "BN_mod_sqrt failed: a = ");
1015                                 BN_print_fp(stderr, a);
1016                                 fprintf(stderr, ", r = ");
1017                                 BN_print_fp(stderr, r);
1018                                 fprintf(stderr, ", p = ");
1019                                 BN_print_fp(stderr, p);
1020                                 fprintf(stderr, "\n");
1021                                 goto err;
1022                                 }
1023
1024                         putc('.', stderr);
1025                         fflush(stderr);
1026                         }
1027
1028                 putc('\n', stderr);
1029                 fflush(stderr);
1030                 }
1031         ret = 1;
1032  err:
1033         if (a != NULL) BN_free(a);
1034         if (p != NULL) BN_free(p);
1035         if (r != NULL) BN_free(r);
1036         return ret;
1037         }
1038
1039 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1040         {
1041         BIGNUM *a,*b,*c,*d;
1042         int i;
1043
1044         b=BN_new();
1045         c=BN_new();
1046         d=BN_new();
1047         BN_one(c);
1048
1049         if(a_)
1050             a=a_;
1051         else
1052             {
1053             a=BN_new();
1054             BN_bntest_rand(a,200,0,0); /**/
1055             a->neg=rand_neg();
1056             }
1057         for (i=0; i<num0; i++)
1058                 {
1059                 BN_lshift(b,a,i+1);
1060                 BN_add(c,c,c);
1061                 if (bp != NULL)
1062                         {
1063                         if (!results)
1064                                 {
1065                                 BN_print(bp,a);
1066                                 BIO_puts(bp," * ");
1067                                 BN_print(bp,c);
1068                                 BIO_puts(bp," - ");
1069                                 }
1070                         BN_print(bp,b);
1071                         BIO_puts(bp,"\n");
1072                         }
1073                 BN_mul(d,a,c,ctx);
1074                 BN_sub(d,d,b);
1075                 if(!BN_is_zero(d))
1076                     {
1077                     fprintf(stderr,"Left shift test failed!\n");
1078                     fprintf(stderr,"a=");
1079                     BN_print_fp(stderr,a);
1080                     fprintf(stderr,"\nb=");
1081                     BN_print_fp(stderr,b);
1082                     fprintf(stderr,"\nc=");
1083                     BN_print_fp(stderr,c);
1084                     fprintf(stderr,"\nd=");
1085                     BN_print_fp(stderr,d);
1086                     fprintf(stderr,"\n");
1087                     return 0;
1088                     }
1089                 }
1090         BN_free(a);
1091         BN_free(b);
1092         BN_free(c);
1093         BN_free(d);
1094         return(1);
1095         }
1096
1097 int test_lshift1(BIO *bp)
1098         {
1099         BIGNUM *a,*b,*c;
1100         int i;
1101
1102         a=BN_new();
1103         b=BN_new();
1104         c=BN_new();
1105
1106         BN_bntest_rand(a,200,0,0); /**/
1107         a->neg=rand_neg();
1108         for (i=0; i<num0; i++)
1109                 {
1110                 BN_lshift1(b,a);
1111                 if (bp != NULL)
1112                         {
1113                         if (!results)
1114                                 {
1115                                 BN_print(bp,a);
1116                                 BIO_puts(bp," * 2");
1117                                 BIO_puts(bp," - ");
1118                                 }
1119                         BN_print(bp,b);
1120                         BIO_puts(bp,"\n");
1121                         }
1122                 BN_add(c,a,a);
1123                 BN_sub(a,b,c);
1124                 if(!BN_is_zero(a))
1125                     {
1126                     fprintf(stderr,"Left shift one test failed!\n");
1127                     return 0;
1128                     }
1129
1130                 BN_copy(a,b);
1131                 }
1132         BN_free(a);
1133         BN_free(b);
1134         BN_free(c);
1135         return(1);
1136         }
1137
1138 int test_rshift(BIO *bp,BN_CTX *ctx)
1139         {
1140         BIGNUM *a,*b,*c,*d,*e;
1141         int i;
1142
1143         a=BN_new();
1144         b=BN_new();
1145         c=BN_new();
1146         d=BN_new();
1147         e=BN_new();
1148         BN_one(c);
1149
1150         BN_bntest_rand(a,200,0,0); /**/
1151         a->neg=rand_neg();
1152         for (i=0; i<num0; i++)
1153                 {
1154                 BN_rshift(b,a,i+1);
1155                 BN_add(c,c,c);
1156                 if (bp != NULL)
1157                         {
1158                         if (!results)
1159                                 {
1160                                 BN_print(bp,a);
1161                                 BIO_puts(bp," / ");
1162                                 BN_print(bp,c);
1163                                 BIO_puts(bp," - ");
1164                                 }
1165                         BN_print(bp,b);
1166                         BIO_puts(bp,"\n");
1167                         }
1168                 BN_div(d,e,a,c,ctx);
1169                 BN_sub(d,d,b);
1170                 if(!BN_is_zero(d))
1171                     {
1172                     fprintf(stderr,"Right shift test failed!\n");
1173                     return 0;
1174                     }
1175                 }
1176         BN_free(a);
1177         BN_free(b);
1178         BN_free(c);
1179         BN_free(d);
1180         BN_free(e);
1181         return(1);
1182         }
1183
1184 int test_rshift1(BIO *bp)
1185         {
1186         BIGNUM *a,*b,*c;
1187         int i;
1188
1189         a=BN_new();
1190         b=BN_new();
1191         c=BN_new();
1192
1193         BN_bntest_rand(a,200,0,0); /**/
1194         a->neg=rand_neg();
1195         for (i=0; i<num0; i++)
1196                 {
1197                 BN_rshift1(b,a);
1198                 if (bp != NULL)
1199                         {
1200                         if (!results)
1201                                 {
1202                                 BN_print(bp,a);
1203                                 BIO_puts(bp," / 2");
1204                                 BIO_puts(bp," - ");
1205                                 }
1206                         BN_print(bp,b);
1207                         BIO_puts(bp,"\n");
1208                         }
1209                 BN_sub(c,a,b);
1210                 BN_sub(c,c,b);
1211                 if(!BN_is_zero(c) && !BN_is_one(c))
1212                     {
1213                     fprintf(stderr,"Right shift one test failed!\n");
1214                     return 0;
1215                     }
1216                 BN_copy(a,b);
1217                 }
1218         BN_free(a);
1219         BN_free(b);
1220         BN_free(c);
1221         return(1);
1222         }
1223
1224 int rand_neg(void)
1225         {
1226         static unsigned int neg=0;
1227         static int sign[8]={0,0,0,1,1,0,1,1};
1228
1229         return(sign[(neg++)%8]);
1230         }