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,j;
 707
 708         a=BN_new();
 709         b=BN_new();
 710         c=BN_new();
 711         d=BN_new();
 712         e=BN_new();
 713
 714         for (j=0; j<3; j++) {
 715         BN_bntest_rand(c,1024,0,0); /**/
 716         for (i=0; i<num0; i++)
 717                 {
 718                 BN_bntest_rand(a,475+i*10,0,0); /**/
 719                 BN_bntest_rand(b,425+i*11,0,0); /**/
 720                 a->neg=rand_neg();
 721                 b->neg=rand_neg();
 722                 if (!BN_mod_mul(e,a,b,c,ctx))
 723                         {
 724                         unsigned long l;
 725
 726                         while ((l=ERR_get_error()))
 727                                 fprintf(stderr,"ERROR:%s\n",
 728                                         ERR_error_string(l,NULL));
 729                         exit(1);
 730                         }
 731                 if (bp != NULL)
 732                         {
 733                         if (!results)
 734                                 {
 735                                 BN_print(bp,a);
 736                                 BIO_puts(bp," * ");
 737                                 BN_print(bp,b);
 738                                 BIO_puts(bp," % ");
 739                                 BN_print(bp,c);
 740                                 if ((a->neg ^ b->neg) && !BN_is_zero(e))
 741                                         {
 742                                         /* If  (a*b) % c  is negative,  c  must be added
 743                                          * in order to obtain the normalized remainder
 744                                          * (new with OpenSSL 0.9.7, previous versions of
 745                                          * BN_mod_mul could generate negative results)
 746                                          */
 747                                         BIO_puts(bp," + ");
 748                                         BN_print(bp,c);
 749                                         }
 750                                 BIO_puts(bp," - ");
 751                                 }
 752                         BN_print(bp,e);
 753                         BIO_puts(bp,"\n");
 754                         }
 755                 BN_mul(d,a,b,ctx);
 756                 BN_sub(d,d,e);
 757                 BN_div(a,b,d,c,ctx);
 758                 if(!BN_is_zero(b))
 759                     {
 760                     fprintf(stderr,"Modulo multiply test failed!\n");
 761                     ERR_print_errors_fp(stderr);
 762                     return 0;
 763                     }
 764                 }
 765         }
 766         BN_free(a);
 767         BN_free(b);
 768         BN_free(c);
 769         BN_free(d);
 770         BN_free(e);
 771         return(1);
 772         }
 773
 774 int test_mod_exp(BIO *bp, BN_CTX *ctx)
 775         {
 776         BIGNUM *a,*b,*c,*d,*e;
 777         int i;
 778
 779         a=BN_new();
 780         b=BN_new();
 781         c=BN_new();
 782         d=BN_new();
 783         e=BN_new();
 784
 785         BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
 786         for (i=0; i<num2; i++)
 787                 {
 788                 BN_bntest_rand(a,20+i*5,0,0); /**/
 789                 BN_bntest_rand(b,2+i,0,0); /**/
 790
 791                 if (!BN_mod_exp(d,a,b,c,ctx))
 792                         return(00);
 793
 794                 if (bp != NULL)
 795                         {
 796                         if (!results)
 797                                 {
 798                                 BN_print(bp,a);
 799                                 BIO_puts(bp," ^ ");
 800                                 BN_print(bp,b);
 801                                 BIO_puts(bp," % ");
 802                                 BN_print(bp,c);
 803                                 BIO_puts(bp," - ");
 804                                 }
 805                         BN_print(bp,d);
 806                         BIO_puts(bp,"\n");
 807                         }
 808                 BN_exp(e,a,b,ctx);
 809                 BN_sub(e,e,d);
 810                 BN_div(a,b,e,c,ctx);
 811                 if(!BN_is_zero(b))
 812                     {
 813                     fprintf(stderr,"Modulo exponentiation test failed!\n");
 814                     return 0;
 815                     }
 816                 }
 817         BN_free(a);
 818         BN_free(b);
 819         BN_free(c);
 820         BN_free(d);
 821         BN_free(e);
 822         return(1);
 823         }
 824
 825 int test_exp(BIO *bp, BN_CTX *ctx)
 826         {
 827         BIGNUM *a,*b,*d,*e,*one;
 828         int i;
 829
 830         a=BN_new();
 831         b=BN_new();
 832         d=BN_new();
 833         e=BN_new();
 834         one=BN_new();
 835         BN_one(one);
 836
 837         for (i=0; i<num2; i++)
 838                 {
 839                 BN_bntest_rand(a,20+i*5,0,0); /**/
 840                 BN_bntest_rand(b,2+i,0,0); /**/
 841
 842                 if (!BN_exp(d,a,b,ctx))
 843                         return(00);
 844
 845                 if (bp != NULL)
 846                         {
 847                         if (!results)
 848                                 {
 849                                 BN_print(bp,a);
 850                                 BIO_puts(bp," ^ ");
 851                                 BN_print(bp,b);
 852                                 BIO_puts(bp," - ");
 853                                 }
 854                         BN_print(bp,d);
 855                         BIO_puts(bp,"\n");
 856                         }
 857                 BN_one(e);
 858                 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
 859                     BN_mul(e,e,a,ctx);
 860                 BN_sub(e,e,d);
 861                 if(!BN_is_zero(e))
 862                     {
 863                     fprintf(stderr,"Exponentiation test failed!\n");
 864                     return 0;
 865                     }
 866                 }
 867         BN_free(a);
 868         BN_free(b);
 869         BN_free(d);
 870         BN_free(e);
 871         BN_free(one);
 872         return(1);
 873         }
 874
 875 static void genprime_cb(int p, int n, void *arg)
 876         {
 877         char c='*';
 878
 879         if (p == 0) c='.';
 880         if (p == 1) c='+';
 881         if (p == 2) c='*';
 882         if (p == 3) c='\n';
 883         putc(c, stderr);
 884         fflush(stderr);
 885         (void)n;
 886         (void)arg;
 887         }
 888
 889 int test_kron(BIO *bp, BN_CTX *ctx)
 890         {
 891         BIGNUM *a,*b,*r,*t;
 892         int i;
 893         int legendre, kronecker;
 894         int ret = 0;
 895
 896         a = BN_new();
 897         b = BN_new();
 898         r = BN_new();
 899         t = BN_new();
 900         if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
 901
 902         /* We test BN_kronecker(a, b, ctx) just for  b  odd (Jacobi symbol).
 903          * In this case we know that if  b  is prime, then BN_kronecker(a, b, ctx)
 904          * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
 905          * So we generate a random prime  b  and compare these values
 906          * for a number of random  a's.  (That is, we run the Solovay-Strassen
 907          * primality test to confirm that  b  is prime, except that we
 908          * don't want to test whether  b  is prime but whether BN_kronecker
 909          * works.) */
 910
 911         if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
 912         putc('\n', stderr);
 913
 914         for (i = 0; i < num0; i++)
 915                 {
 916                 if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
 917                 a->neg = rand_neg();
 918
 919                 /* t := (b-1)/2  (note that b is odd) */
 920                 if (!BN_copy(t, b)) goto err;
 921                 if (!BN_sub_word(t, 1)) goto err;
 922                 if (!BN_rshift1(t, t)) goto err;
 923                 /* r := a^t mod b */
 924                 if (!BN_mod_exp(r, a, t, b, ctx)) goto err;
 925
 926                 if (BN_is_word(r, 1))
 927                         legendre = 1;
 928                 else if (BN_is_zero(r))
 929                         legendre = 0;
 930                 else
 931                         {
 932                         if (!BN_add_word(r, 1)) goto err;
 933                         if (0 != BN_cmp(r, b))
 934                                 {
 935                                 fprintf(stderr, "Legendre symbol computation failed\n");
 936                                 goto err;
 937                                 }
 938                         legendre = -1;
 939                         }
 940
 941                 kronecker = BN_kronecker(a, b, ctx);
 942                 if (kronecker < -1) goto err;
 943
 944                 if (legendre != kronecker)
 945                         {
 946                         fprintf(stderr, "legendre != kronecker; a = ");
 947                         BN_print_fp(stderr, a);
 948                         fprintf(stderr, ", b = ");
 949                         BN_print_fp(stderr, b);
 950                         fprintf(stderr, "\n");
 951                         goto err;
 952                         }
 953
 954                 putc('.', stderr);
 955                 fflush(stderr);
 956                 }
 957
 958         putc('\n', stderr);
 959         fflush(stderr);
 960         ret = 1;
 961  err:
 962         if (a != NULL) BN_free(a);
 963         if (b != NULL) BN_free(b);
 964         if (r != NULL) BN_free(r);
 965         if (t != NULL) BN_free(t);
 966         return ret;
 967         }
 968
 969 int test_sqrt(BIO *bp, BN_CTX *ctx)
 970         {
 971         BIGNUM *a,*p,*r;
 972         int i, j;
 973         int ret = 0;
 974
 975         a = BN_new();
 976         p = BN_new();
 977         r = BN_new();
 978         if (a == NULL || p == NULL || r == NULL) goto err;
 979
 980         for (i = 0; i < 16; i++)
 981                 {
 982                 if (i < 8)
 983                         {
 984                         unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
 985
 986                         if (!BN_set_word(p, primes[i])) goto err;
 987                         }
 988                 else
 989                         {
 990                         if (!BN_set_word(a, 32)) goto err;
 991                         if (!BN_set_word(r, 2*i + 1)) goto err;
 992
 993                         if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
 994                         putc('\n', stderr);
 995                         }
 996
 997                 for (j = 0; j < num2; j++)
 998                         {
 999                         /* construct 'a' such that it is a square modulo p,
1000                          * but in general not a proper square and not reduced modulo p */
1001                         if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
1002                         if (!BN_nnmod(r, r, p, ctx)) goto err;
1003                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1004                         if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
1005                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1006                         if (!BN_mod_sqr(a, a, p, ctx)) goto err;
1007                         if (!BN_mul(a, a, r, ctx)) goto err;
1008
1009                         if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
1010                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1011
1012                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1013
1014                         if (BN_cmp(a, r) != 0)
1015                                 {
1016                                 fprintf(stderr, "BN_mod_sqrt failed: a = ");
1017                                 BN_print_fp(stderr, a);
1018                                 fprintf(stderr, ", r = ");
1019                                 BN_print_fp(stderr, r);
1020                                 fprintf(stderr, ", p = ");
1021                                 BN_print_fp(stderr, p);
1022                                 fprintf(stderr, "\n");
1023                                 goto err;
1024                                 }
1025
1026                         putc('.', stderr);
1027                         fflush(stderr);
1028                         }
1029
1030                 putc('\n', stderr);
1031                 fflush(stderr);
1032                 }
1033         ret = 1;
1034  err:
1035         if (a != NULL) BN_free(a);
1036         if (p != NULL) BN_free(p);
1037         if (r != NULL) BN_free(r);
1038         return ret;
1039         }
1040
1041 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1042         {
1043         BIGNUM *a,*b,*c,*d;
1044         int i;
1045
1046         b=BN_new();
1047         c=BN_new();
1048         d=BN_new();
1049         BN_one(c);
1050
1051         if(a_)
1052             a=a_;
1053         else
1054             {
1055             a=BN_new();
1056             BN_bntest_rand(a,200,0,0); /**/
1057             a->neg=rand_neg();
1058             }
1059         for (i=0; i<num0; i++)
1060                 {
1061                 BN_lshift(b,a,i+1);
1062                 BN_add(c,c,c);
1063                 if (bp != NULL)
1064                         {
1065                         if (!results)
1066                                 {
1067                                 BN_print(bp,a);
1068                                 BIO_puts(bp," * ");
1069                                 BN_print(bp,c);
1070                                 BIO_puts(bp," - ");
1071                                 }
1072                         BN_print(bp,b);
1073                         BIO_puts(bp,"\n");
1074                         }
1075                 BN_mul(d,a,c,ctx);
1076                 BN_sub(d,d,b);
1077                 if(!BN_is_zero(d))
1078                     {
1079                     fprintf(stderr,"Left shift test failed!\n");
1080                     fprintf(stderr,"a=");
1081                     BN_print_fp(stderr,a);
1082                     fprintf(stderr,"\nb=");
1083                     BN_print_fp(stderr,b);
1084                     fprintf(stderr,"\nc=");
1085                     BN_print_fp(stderr,c);
1086                     fprintf(stderr,"\nd=");
1087                     BN_print_fp(stderr,d);
1088                     fprintf(stderr,"\n");
1089                     return 0;
1090                     }
1091                 }
1092         BN_free(a);
1093         BN_free(b);
1094         BN_free(c);
1095         BN_free(d);
1096         return(1);
1097         }
1098
1099 int test_lshift1(BIO *bp)
1100         {
1101         BIGNUM *a,*b,*c;
1102         int i;
1103
1104         a=BN_new();
1105         b=BN_new();
1106         c=BN_new();
1107
1108         BN_bntest_rand(a,200,0,0); /**/
1109         a->neg=rand_neg();
1110         for (i=0; i<num0; i++)
1111                 {
1112                 BN_lshift1(b,a);
1113                 if (bp != NULL)
1114                         {
1115                         if (!results)
1116                                 {
1117                                 BN_print(bp,a);
1118                                 BIO_puts(bp," * 2");
1119                                 BIO_puts(bp," - ");
1120                                 }
1121                         BN_print(bp,b);
1122                         BIO_puts(bp,"\n");
1123                         }
1124                 BN_add(c,a,a);
1125                 BN_sub(a,b,c);
1126                 if(!BN_is_zero(a))
1127                     {
1128                     fprintf(stderr,"Left shift one test failed!\n");
1129                     return 0;
1130                     }
1131
1132                 BN_copy(a,b);
1133                 }
1134         BN_free(a);
1135         BN_free(b);
1136         BN_free(c);
1137         return(1);
1138         }
1139
1140 int test_rshift(BIO *bp,BN_CTX *ctx)
1141         {
1142         BIGNUM *a,*b,*c,*d,*e;
1143         int i;
1144
1145         a=BN_new();
1146         b=BN_new();
1147         c=BN_new();
1148         d=BN_new();
1149         e=BN_new();
1150         BN_one(c);
1151
1152         BN_bntest_rand(a,200,0,0); /**/
1153         a->neg=rand_neg();
1154         for (i=0; i<num0; i++)
1155                 {
1156                 BN_rshift(b,a,i+1);
1157                 BN_add(c,c,c);
1158                 if (bp != NULL)
1159                         {
1160                         if (!results)
1161                                 {
1162                                 BN_print(bp,a);
1163                                 BIO_puts(bp," / ");
1164                                 BN_print(bp,c);
1165                                 BIO_puts(bp," - ");
1166                                 }
1167                         BN_print(bp,b);
1168                         BIO_puts(bp,"\n");
1169                         }
1170                 BN_div(d,e,a,c,ctx);
1171                 BN_sub(d,d,b);
1172                 if(!BN_is_zero(d))
1173                     {
1174                     fprintf(stderr,"Right shift test failed!\n");
1175                     return 0;
1176                     }
1177                 }
1178         BN_free(a);
1179         BN_free(b);
1180         BN_free(c);
1181         BN_free(d);
1182         BN_free(e);
1183         return(1);
1184         }
1185
1186 int test_rshift1(BIO *bp)
1187         {
1188         BIGNUM *a,*b,*c;
1189         int i;
1190
1191         a=BN_new();
1192         b=BN_new();
1193         c=BN_new();
1194
1195         BN_bntest_rand(a,200,0,0); /**/
1196         a->neg=rand_neg();
1197         for (i=0; i<num0; i++)
1198                 {
1199                 BN_rshift1(b,a);
1200                 if (bp != NULL)
1201                         {
1202                         if (!results)
1203                                 {
1204                                 BN_print(bp,a);
1205                                 BIO_puts(bp," / 2");
1206                                 BIO_puts(bp," - ");
1207                                 }
1208                         BN_print(bp,b);
1209                         BIO_puts(bp,"\n");
1210                         }
1211                 BN_sub(c,a,b);
1212                 BN_sub(c,c,b);
1213                 if(!BN_is_zero(c) && !BN_is_one(c))
1214                     {
1215                     fprintf(stderr,"Right shift one test failed!\n");
1216                     return 0;
1217                     }
1218                 BN_copy(a,b);
1219                 }
1220         BN_free(a);
1221         BN_free(b);
1222         BN_free(c);
1223         return(1);
1224         }
1225
1226 int rand_neg(void)
1227         {
1228         static unsigned int neg=0;
1229         static int sign[8]={0,0,0,1,1,0,1,1};
1230
1231         return(sign[(neg++)%8]);
1232         }