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 rand_neg(void);
  95 static int results=0;
  96
  97 #ifdef NO_STDIO
  98 #define APPS_WIN16
  99 #include "bss_file.c"
 100 #endif
 101
 102 static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
 103 "\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
 104
 105 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
 106
 107 static void message(BIO *out, char *m)
 108         {
 109         fprintf(stderr, "test %s\n", m);
 110 #if defined(linux) || defined(__FreeBSD__) /* can we use GNU bc features? */
 111         BIO_puts(out, "print \"test ");
 112         BIO_puts(out, m);
 113         BIO_puts(out, "\\n\"\n");
 114 #endif
 115         }
 116
 117 int main(int argc, char *argv[])
 118         {
 119         BN_CTX *ctx;
 120         BIO *out;
 121         char *outfile=NULL;
 122
 123         results = 0;
 124
 125         RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we don't
 126                                                * even check its return value
 127                                                * (which we should) */
 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         BN_CTX_free(ctx);
 232         BIO_free(out);
 233
 234 /**/
 235         exit(0);
 236 err:
 237         BIO_puts(out,"1\n"); /* make sure bc fails if we are piping to it */
 238         BIO_flush(out);
 239         ERR_load_crypto_strings();
 240         ERR_print_errors_fp(stderr);
 241         exit(1);
 242         return(1);
 243         }
 244
 245 int test_add(BIO *bp)
 246         {
 247         BIGNUM a,b,c;
 248         int i;
 249         int j;
 250
 251         BN_init(&a);
 252         BN_init(&b);
 253         BN_init(&c);
 254
 255         BN_rand(&a,512,0,0);
 256         for (i=0; i<num0; i++)
 257                 {
 258                 BN_rand(&b,450+i,0,0);
 259                 a.neg=rand_neg();
 260                 b.neg=rand_neg();
 261                 if (bp == NULL)
 262                         for (j=0; j<10000; j++)
 263                                 BN_add(&c,&a,&b);
 264                 BN_add(&c,&a,&b);
 265                 if (bp != NULL)
 266                         {
 267                         if (!results)
 268                                 {
 269                                 BN_print(bp,&a);
 270                                 BIO_puts(bp," + ");
 271                                 BN_print(bp,&b);
 272                                 BIO_puts(bp," - ");
 273                                 }
 274                         BN_print(bp,&c);
 275                         BIO_puts(bp,"\n");
 276                         }
 277                 a.neg=!a.neg;
 278                 b.neg=!b.neg;
 279                 BN_add(&c,&c,&b);
 280                 BN_add(&c,&c,&a);
 281                 if(!BN_is_zero(&c))
 282                     {
 283                     fprintf(stderr,"Add test failed!\n");
 284                     return 0;
 285                     }
 286                 }
 287         BN_free(&a);
 288         BN_free(&b);
 289         BN_free(&c);
 290         return(1);
 291         }
 292
 293 int test_sub(BIO *bp)
 294         {
 295         BIGNUM a,b,c;
 296         int i;
 297         int j;
 298
 299         BN_init(&a);
 300         BN_init(&b);
 301         BN_init(&c);
 302
 303         for (i=0; i<num0+num1; i++)
 304                 {
 305                 if (i < num1)
 306                         {
 307                         BN_rand(&a,512,0,0);
 308                         BN_copy(&b,&a);
 309                         if (BN_set_bit(&a,i)==0) return(0);
 310                         BN_add_word(&b,i);
 311                         }
 312                 else
 313                         {
 314                         BN_rand(&b,400+i-num1,0,0);
 315                         a.neg=rand_neg();
 316                         b.neg=rand_neg();
 317                         }
 318                 if (bp == NULL)
 319                         for (j=0; j<10000; j++)
 320                                 BN_sub(&c,&a,&b);
 321                 BN_sub(&c,&a,&b);
 322                 if (bp != NULL)
 323                         {
 324                         if (!results)
 325                                 {
 326                                 BN_print(bp,&a);
 327                                 BIO_puts(bp," - ");
 328                                 BN_print(bp,&b);
 329                                 BIO_puts(bp," - ");
 330                                 }
 331                         BN_print(bp,&c);
 332                         BIO_puts(bp,"\n");
 333                         }
 334                 BN_add(&c,&c,&b);
 335                 BN_sub(&c,&c,&a);
 336                 if(!BN_is_zero(&c))
 337                     {
 338                     fprintf(stderr,"Subtract test failed!\n");
 339                     return 0;
 340                     }
 341                 }
 342         BN_free(&a);
 343         BN_free(&b);
 344         BN_free(&c);
 345         return(1);
 346         }
 347
 348 int test_div(BIO *bp, BN_CTX *ctx)
 349         {
 350         BIGNUM a,b,c,d,e;
 351         int i;
 352         int j;
 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_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_rand(&b,50+3*(i-num1),0,0);
 371                 a.neg=rand_neg();
 372                 b.neg=rand_neg();
 373                 if (bp == NULL)
 374                         for (j=0; j<100; j++)
 375                                 BN_div(&d,&c,&a,&b,ctx);
 376                 BN_div(&d,&c,&a,&b,ctx);
 377                 if (bp != NULL)
 378                         {
 379                         if (!results)
 380                                 {
 381                                 BN_print(bp,&a);
 382                                 BIO_puts(bp," / ");
 383                                 BN_print(bp,&b);
 384                                 BIO_puts(bp," - ");
 385                                 }
 386                         BN_print(bp,&d);
 387                         BIO_puts(bp,"\n");
 388
 389                         if (!results)
 390                                 {
 391                                 BN_print(bp,&a);
 392                                 BIO_puts(bp," % ");
 393                                 BN_print(bp,&b);
 394                                 BIO_puts(bp," - ");
 395                                 }
 396                         BN_print(bp,&c);
 397                         BIO_puts(bp,"\n");
 398                         }
 399                 BN_mul(&e,&d,&b,ctx);
 400                 BN_add(&d,&e,&c);
 401                 BN_sub(&d,&d,&a);
 402                 if(!BN_is_zero(&d))
 403                     {
 404                     fprintf(stderr,"Division test failed!\n");
 405                     return 0;
 406                     }
 407                 }
 408         BN_free(&a);
 409         BN_free(&b);
 410         BN_free(&c);
 411         BN_free(&d);
 412         BN_free(&e);
 413         return(1);
 414         }
 415
 416 int test_div_recp(BIO *bp, BN_CTX *ctx)
 417         {
 418         BIGNUM a,b,c,d,e;
 419         BN_RECP_CTX recp;
 420         int i;
 421         int j;
 422
 423         BN_RECP_CTX_init(&recp);
 424         BN_init(&a);
 425         BN_init(&b);
 426         BN_init(&c);
 427         BN_init(&d);
 428         BN_init(&e);
 429
 430         for (i=0; i<num0+num1; i++)
 431                 {
 432                 if (i < num1)
 433                         {
 434                         BN_rand(&a,400,0,0);
 435                         BN_copy(&b,&a);
 436                         BN_lshift(&a,&a,i);
 437                         BN_add_word(&a,i);
 438                         }
 439                 else
 440                         BN_rand(&b,50+3*(i-num1),0,0);
 441                 a.neg=rand_neg();
 442                 b.neg=rand_neg();
 443                 BN_RECP_CTX_set(&recp,&b,ctx);
 444                 if (bp == NULL)
 445                         for (j=0; j<100; j++)
 446                                 BN_div_recp(&d,&c,&a,&recp,ctx);
 447                 BN_div_recp(&d,&c,&a,&recp,ctx);
 448                 if (bp != NULL)
 449                         {
 450                         if (!results)
 451                                 {
 452                                 BN_print(bp,&a);
 453                                 BIO_puts(bp," / ");
 454                                 BN_print(bp,&b);
 455                                 BIO_puts(bp," - ");
 456                                 }
 457                         BN_print(bp,&d);
 458                         BIO_puts(bp,"\n");
 459
 460                         if (!results)
 461                                 {
 462                                 BN_print(bp,&a);
 463                                 BIO_puts(bp," % ");
 464                                 BN_print(bp,&b);
 465                                 BIO_puts(bp," - ");
 466                                 }
 467                         BN_print(bp,&c);
 468                         BIO_puts(bp,"\n");
 469                         }
 470                 BN_mul(&e,&d,&b,ctx);
 471                 BN_add(&d,&e,&c);
 472                 BN_sub(&d,&d,&a);
 473                 if(!BN_is_zero(&d))
 474                     {
 475                     fprintf(stderr,"Reciprocal division test failed!\n");
 476                     fprintf(stderr,"a=");
 477                     BN_print_fp(stderr,&a);
 478                     fprintf(stderr,"\nb=");
 479                     BN_print_fp(stderr,&b);
 480                     fprintf(stderr,"\n");
 481                     return 0;
 482                     }
 483                 }
 484         BN_free(&a);
 485         BN_free(&b);
 486         BN_free(&c);
 487         BN_free(&d);
 488         BN_free(&e);
 489         BN_RECP_CTX_free(&recp);
 490         return(1);
 491         }
 492
 493 int test_mul(BIO *bp)
 494         {
 495         BIGNUM a,b,c,d,e;
 496         int i;
 497         int j;
 498         BN_CTX ctx;
 499
 500         BN_CTX_init(&ctx);
 501         BN_init(&a);
 502         BN_init(&b);
 503         BN_init(&c);
 504         BN_init(&d);
 505         BN_init(&e);
 506
 507         for (i=0; i<num0+num1; i++)
 508                 {
 509                 if (i < num1)
 510                         {
 511                         BN_rand(&a,100,0,0);
 512                         BN_rand(&b,100,0,0);
 513                         }
 514                 else
 515                         BN_rand(&b,i-num1,0,0);
 516                 a.neg=rand_neg();
 517                 b.neg=rand_neg();
 518                 if (bp == NULL)
 519                         for (j=0; j<100; j++)
 520                                 BN_mul(&c,&a,&b,&ctx);
 521                 BN_mul(&c,&a,&b,&ctx);
 522                 if (bp != NULL)
 523                         {
 524                         if (!results)
 525                                 {
 526                                 BN_print(bp,&a);
 527                                 BIO_puts(bp," * ");
 528                                 BN_print(bp,&b);
 529                                 BIO_puts(bp," - ");
 530                                 }
 531                         BN_print(bp,&c);
 532                         BIO_puts(bp,"\n");
 533                         }
 534                 BN_div(&d,&e,&c,&a,&ctx);
 535                 BN_sub(&d,&d,&b);
 536                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 537                     {
 538                     fprintf(stderr,"Multiplication test failed!\n");
 539                     return 0;
 540                     }
 541                 }
 542         BN_free(&a);
 543         BN_free(&b);
 544         BN_free(&c);
 545         BN_free(&d);
 546         BN_free(&e);
 547         BN_CTX_free(&ctx);
 548         return(1);
 549         }
 550
 551 int test_sqr(BIO *bp, BN_CTX *ctx)
 552         {
 553         BIGNUM a,c,d,e;
 554         int i;
 555         int j;
 556
 557         BN_init(&a);
 558         BN_init(&c);
 559         BN_init(&d);
 560         BN_init(&e);
 561
 562         for (i=0; i<num0; i++)
 563                 {
 564                 BN_rand(&a,40+i*10,0,0);
 565                 a.neg=rand_neg();
 566                 if (bp == NULL)
 567                         for (j=0; j<100; j++)
 568                                 BN_sqr(&c,&a,ctx);
 569                 BN_sqr(&c,&a,ctx);
 570                 if (bp != NULL)
 571                         {
 572                         if (!results)
 573                                 {
 574                                 BN_print(bp,&a);
 575                                 BIO_puts(bp," * ");
 576                                 BN_print(bp,&a);
 577                                 BIO_puts(bp," - ");
 578                                 }
 579                         BN_print(bp,&c);
 580                         BIO_puts(bp,"\n");
 581                         }
 582                 BN_div(&d,&e,&c,&a,ctx);
 583                 BN_sub(&d,&d,&a);
 584                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 585                     {
 586                     fprintf(stderr,"Square test failed!\n");
 587                     return 0;
 588                     }
 589                 }
 590         BN_free(&a);
 591         BN_free(&c);
 592         BN_free(&d);
 593         BN_free(&e);
 594         return(1);
 595         }
 596
 597 int test_mont(BIO *bp, BN_CTX *ctx)
 598         {
 599         BIGNUM a,b,c,d,A,B;
 600         BIGNUM n;
 601         int i;
 602         int j;
 603         BN_MONT_CTX *mont;
 604
 605         BN_init(&a);
 606         BN_init(&b);
 607         BN_init(&c);
 608         BN_init(&d);
 609         BN_init(&A);
 610         BN_init(&B);
 611         BN_init(&n);
 612
 613         mont=BN_MONT_CTX_new();
 614
 615         BN_rand(&a,100,0,0); /**/
 616         BN_rand(&b,100,0,0); /**/
 617         for (i=0; i<num2; i++)
 618                 {
 619                 int bits = (200*(i+1))/num2;
 620
 621                 if (bits == 0)
 622                         continue;
 623                 BN_rand(&n,bits,0,1);
 624                 BN_MONT_CTX_set(mont,&n,ctx);
 625
 626                 BN_to_montgomery(&A,&a,mont,ctx);
 627                 BN_to_montgomery(&B,&b,mont,ctx);
 628
 629                 if (bp == NULL)
 630                         for (j=0; j<100; j++)
 631                                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 632                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 633                 BN_from_montgomery(&A,&c,mont,ctx);/**/
 634                 if (bp != NULL)
 635                         {
 636                         if (!results)
 637                                 {
 638 #ifdef undef
 639 fprintf(stderr,"%d * %d %% %d\n",
 640 BN_num_bits(&a),
 641 BN_num_bits(&b),
 642 BN_num_bits(mont->N));
 643 #endif
 644                                 BN_print(bp,&a);
 645                                 BIO_puts(bp," * ");
 646                                 BN_print(bp,&b);
 647                                 BIO_puts(bp," % ");
 648                                 BN_print(bp,&(mont->N));
 649                                 BIO_puts(bp," - ");
 650                                 }
 651                         BN_print(bp,&A);
 652                         BIO_puts(bp,"\n");
 653                         }
 654                 BN_mod_mul(&d,&a,&b,&n,ctx);
 655                 BN_sub(&d,&d,&A);
 656                 if(!BN_is_zero(&d))
 657                     {
 658                     fprintf(stderr,"Montgomery multiplication test failed!\n");
 659                     return 0;
 660                     }
 661                 }
 662         BN_MONT_CTX_free(mont);
 663         BN_free(&a);
 664         BN_free(&b);
 665         BN_free(&c);
 666         BN_free(&d);
 667         BN_free(&A);
 668         BN_free(&B);
 669         BN_free(&n);
 670         return(1);
 671         }
 672
 673 int test_mod(BIO *bp, BN_CTX *ctx)
 674         {
 675         BIGNUM *a,*b,*c,*d,*e;
 676         int i;
 677         int j;
 678
 679         a=BN_new();
 680         b=BN_new();
 681         c=BN_new();
 682         d=BN_new();
 683         e=BN_new();
 684
 685         BN_rand(a,1024,0,0); /**/
 686         for (i=0; i<num0; i++)
 687                 {
 688                 BN_rand(b,450+i*10,0,0); /**/
 689                 a->neg=rand_neg();
 690                 b->neg=rand_neg();
 691                 if (bp == NULL)
 692                         for (j=0; j<100; j++)
 693                                 BN_mod(c,a,b,ctx);/**/
 694                 BN_mod(c,a,b,ctx);/**/
 695                 if (bp != NULL)
 696                         {
 697                         if (!results)
 698                                 {
 699                                 BN_print(bp,a);
 700                                 BIO_puts(bp," % ");
 701                                 BN_print(bp,b);
 702                                 BIO_puts(bp," - ");
 703                                 }
 704                         BN_print(bp,c);
 705                         BIO_puts(bp,"\n");
 706                         }
 707                 BN_div(d,e,a,b,ctx);
 708                 BN_sub(e,e,c);
 709                 if(!BN_is_zero(e))
 710                     {
 711                     fprintf(stderr,"Modulo test failed!\n");
 712                     return 0;
 713                     }
 714                 }
 715         BN_free(a);
 716         BN_free(b);
 717         BN_free(c);
 718         BN_free(d);
 719         BN_free(e);
 720         return(1);
 721         }
 722
 723 int test_mod_mul(BIO *bp, BN_CTX *ctx)
 724         {
 725         BIGNUM *a,*b,*c,*d,*e;
 726         int i;
 727
 728         a=BN_new();
 729         b=BN_new();
 730         c=BN_new();
 731         d=BN_new();
 732         e=BN_new();
 733
 734         BN_rand(c,1024,0,0); /**/
 735         for (i=0; i<num0; i++)
 736                 {
 737                 BN_rand(a,475+i*10,0,0); /**/
 738                 BN_rand(b,425+i*11,0,0); /**/
 739                 a->neg=rand_neg();
 740                 b->neg=rand_neg();
 741         /*      if (bp == NULL)
 742                         for (j=0; j<100; j++)
 743                                 BN_mod_mul(d,a,b,c,ctx);*/ /**/
 744
 745                 if (!BN_mod_mul(e,a,b,c,ctx))
 746                         {
 747                         unsigned long l;
 748
 749                         while ((l=ERR_get_error()))
 750                                 fprintf(stderr,"ERROR:%s\n",
 751                                         ERR_error_string(l,NULL));
 752                         exit(1);
 753                         }
 754                 if (bp != NULL)
 755                         {
 756                         if (!results)
 757                                 {
 758                                 BN_print(bp,a);
 759                                 BIO_puts(bp," * ");
 760                                 BN_print(bp,b);
 761                                 BIO_puts(bp," % ");
 762                                 BN_print(bp,c);
 763                                 BIO_puts(bp," - ");
 764                                 }
 765                         BN_print(bp,e);
 766                         BIO_puts(bp,"\n");
 767                         }
 768                 BN_mul(d,a,b,ctx);
 769                 BN_sub(d,d,e);
 770                 BN_div(a,b,d,c,ctx);
 771                 if(!BN_is_zero(b))
 772                     {
 773                     fprintf(stderr,"Modulo multiply test failed!\n");
 774                     return 0;
 775                     }
 776                 }
 777         BN_free(a);
 778         BN_free(b);
 779         BN_free(c);
 780         BN_free(d);
 781         BN_free(e);
 782         return(1);
 783         }
 784
 785 int test_mod_exp(BIO *bp, BN_CTX *ctx)
 786         {
 787         BIGNUM *a,*b,*c,*d,*e;
 788         int i;
 789
 790         a=BN_new();
 791         b=BN_new();
 792         c=BN_new();
 793         d=BN_new();
 794         e=BN_new();
 795
 796         BN_rand(c,30,0,1); /* must be odd for montgomery */
 797         for (i=0; i<num2; i++)
 798                 {
 799                 BN_rand(a,20+i*5,0,0); /**/
 800                 BN_rand(b,2+i,0,0); /**/
 801
 802                 if (!BN_mod_exp(d,a,b,c,ctx))
 803                         return(00);
 804
 805                 if (bp != NULL)
 806                         {
 807                         if (!results)
 808                                 {
 809                                 BN_print(bp,a);
 810                                 BIO_puts(bp," ^ ");
 811                                 BN_print(bp,b);
 812                                 BIO_puts(bp," % ");
 813                                 BN_print(bp,c);
 814                                 BIO_puts(bp," - ");
 815                                 }
 816                         BN_print(bp,d);
 817                         BIO_puts(bp,"\n");
 818                         }
 819                 BN_exp(e,a,b,ctx);
 820                 BN_sub(e,e,d);
 821                 BN_div(a,b,e,c,ctx);
 822                 if(!BN_is_zero(b))
 823                     {
 824                     fprintf(stderr,"Modulo exponentiation test failed!\n");
 825                     return 0;
 826                     }
 827                 }
 828         BN_free(a);
 829         BN_free(b);
 830         BN_free(c);
 831         BN_free(d);
 832         BN_free(e);
 833         return(1);
 834         }
 835
 836 int test_exp(BIO *bp, BN_CTX *ctx)
 837         {
 838         BIGNUM *a,*b,*d,*e,*one;
 839         int i;
 840
 841         a=BN_new();
 842         b=BN_new();
 843         d=BN_new();
 844         e=BN_new();
 845         one=BN_new();
 846         BN_one(one);
 847
 848         for (i=0; i<num2; i++)
 849                 {
 850                 BN_rand(a,20+i*5,0,0); /**/
 851                 BN_rand(b,2+i,0,0); /**/
 852
 853                 if (!BN_exp(d,a,b,ctx))
 854                         return(00);
 855
 856                 if (bp != NULL)
 857                         {
 858                         if (!results)
 859                                 {
 860                                 BN_print(bp,a);
 861                                 BIO_puts(bp," ^ ");
 862                                 BN_print(bp,b);
 863                                 BIO_puts(bp," - ");
 864                                 }
 865                         BN_print(bp,d);
 866                         BIO_puts(bp,"\n");
 867                         }
 868                 BN_one(e);
 869                 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
 870                     BN_mul(e,e,a,ctx);
 871                 BN_sub(e,e,d);
 872                 if(!BN_is_zero(e))
 873                     {
 874                     fprintf(stderr,"Exponentiation test failed!\n");
 875                     return 0;
 876                     }
 877                 }
 878         BN_free(a);
 879         BN_free(b);
 880         BN_free(d);
 881         BN_free(e);
 882         BN_free(one);
 883         return(1);
 884         }
 885
 886 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
 887         {
 888         BIGNUM *a,*b,*c,*d;
 889         int i;
 890
 891         b=BN_new();
 892         c=BN_new();
 893         d=BN_new();
 894         BN_one(c);
 895
 896         if(a_)
 897             a=a_;
 898         else
 899             {
 900             a=BN_new();
 901             BN_rand(a,200,0,0); /**/
 902             a->neg=rand_neg();
 903             }
 904         for (i=0; i<num0; i++)
 905                 {
 906                 BN_lshift(b,a,i+1);
 907                 BN_add(c,c,c);
 908                 if (bp != NULL)
 909                         {
 910                         if (!results)
 911                                 {
 912                                 BN_print(bp,a);
 913                                 BIO_puts(bp," * ");
 914                                 BN_print(bp,c);
 915                                 BIO_puts(bp," - ");
 916                                 }
 917                         BN_print(bp,b);
 918                         BIO_puts(bp,"\n");
 919                         }
 920                 BN_mul(d,a,c,ctx);
 921                 BN_sub(d,d,b);
 922                 if(!BN_is_zero(d))
 923                     {
 924                     fprintf(stderr,"Left shift test failed!\n");
 925                     fprintf(stderr,"a=");
 926                     BN_print_fp(stderr,a);
 927                     fprintf(stderr,"\nb=");
 928                     BN_print_fp(stderr,b);
 929                     fprintf(stderr,"\nc=");
 930                     BN_print_fp(stderr,c);
 931                     fprintf(stderr,"\nd=");
 932                     BN_print_fp(stderr,d);
 933                     fprintf(stderr,"\n");
 934                     return 0;
 935                     }
 936                 }
 937         BN_free(a);
 938         BN_free(b);
 939         BN_free(c);
 940         BN_free(d);
 941         return(1);
 942         }
 943
 944 int test_lshift1(BIO *bp)
 945         {
 946         BIGNUM *a,*b,*c;
 947         int i;
 948
 949         a=BN_new();
 950         b=BN_new();
 951         c=BN_new();
 952
 953         BN_rand(a,200,0,0); /**/
 954         a->neg=rand_neg();
 955         for (i=0; i<num0; i++)
 956                 {
 957                 BN_lshift1(b,a);
 958                 if (bp != NULL)
 959                         {
 960                         if (!results)
 961                                 {
 962                                 BN_print(bp,a);
 963                                 BIO_puts(bp," * 2");
 964                                 BIO_puts(bp," - ");
 965                                 }
 966                         BN_print(bp,b);
 967                         BIO_puts(bp,"\n");
 968                         }
 969                 BN_add(c,a,a);
 970                 BN_sub(a,b,c);
 971                 if(!BN_is_zero(a))
 972                     {
 973                     fprintf(stderr,"Left shift one test failed!\n");
 974                     return 0;
 975                     }
 976
 977                 BN_copy(a,b);
 978                 }
 979         BN_free(a);
 980         BN_free(b);
 981         BN_free(c);
 982         return(1);
 983         }
 984
 985 int test_rshift(BIO *bp,BN_CTX *ctx)
 986         {
 987         BIGNUM *a,*b,*c,*d,*e;
 988         int i;
 989
 990         a=BN_new();
 991         b=BN_new();
 992         c=BN_new();
 993         d=BN_new();
 994         e=BN_new();
 995         BN_one(c);
 996
 997         BN_rand(a,200,0,0); /**/
 998         a->neg=rand_neg();
 999         for (i=0; i<num0; i++)
1000                 {
1001                 BN_rshift(b,a,i+1);
1002                 BN_add(c,c,c);
1003                 if (bp != NULL)
1004                         {
1005                         if (!results)
1006                                 {
1007                                 BN_print(bp,a);
1008                                 BIO_puts(bp," / ");
1009                                 BN_print(bp,c);
1010                                 BIO_puts(bp," - ");
1011                                 }
1012                         BN_print(bp,b);
1013                         BIO_puts(bp,"\n");
1014                         }
1015                 BN_div(d,e,a,c,ctx);
1016                 BN_sub(d,d,b);
1017                 if(!BN_is_zero(d))
1018                     {
1019                     fprintf(stderr,"Right shift test failed!\n");
1020                     return 0;
1021                     }
1022                 }
1023         BN_free(a);
1024         BN_free(b);
1025         BN_free(c);
1026         BN_free(d);
1027         BN_free(e);
1028         return(1);
1029         }
1030
1031 int test_rshift1(BIO *bp)
1032         {
1033         BIGNUM *a,*b,*c;
1034         int i;
1035
1036         a=BN_new();
1037         b=BN_new();
1038         c=BN_new();
1039
1040         BN_rand(a,200,0,0); /**/
1041         a->neg=rand_neg();
1042         for (i=0; i<num0; i++)
1043                 {
1044                 BN_rshift1(b,a);
1045                 if (bp != NULL)
1046                         {
1047                         if (!results)
1048                                 {
1049                                 BN_print(bp,a);
1050                                 BIO_puts(bp," / 2");
1051                                 BIO_puts(bp," - ");
1052                                 }
1053                         BN_print(bp,b);
1054                         BIO_puts(bp,"\n");
1055                         }
1056                 BN_sub(c,a,b);
1057                 BN_sub(c,c,b);
1058                 if(!BN_is_zero(c) && !BN_is_one(c))
1059                     {
1060                     fprintf(stderr,"Right shift one test failed!\n");
1061                     return 0;
1062                     }
1063                 BN_copy(a,b);
1064                 }
1065         BN_free(a);
1066         BN_free(b);
1067         BN_free(c);
1068         return(1);
1069         }
1070
1071 int rand_neg(void)
1072         {
1073         static unsigned int neg=0;
1074         static int sign[8]={0,0,0,1,1,0,1,1};
1075
1076         return(sign[(neg++)%8]);
1077         }