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 OPENSSL_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         BIO_puts(out, "print \"test ");
 113         BIO_puts(out, m);
 114         BIO_puts(out, "\\n\"\n");
 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_generate_prime may fail */
 126
 127         argc--;
 128         argv++;
 129         while (argc >= 1)
 130                 {
 131                 if (strcmp(*argv,"-results") == 0)
 132                         results=1;
 133                 else if (strcmp(*argv,"-out") == 0)
 134                         {
 135                         if (--argc < 1) break;
 136                         outfile= *(++argv);
 137                         }
 138                 argc--;
 139                 argv++;
 140                 }
 141
 142
 143         ctx=BN_CTX_new();
 144         if (ctx == NULL) exit(1);
 145
 146         out=BIO_new(BIO_s_file());
 147         if (out == NULL) exit(1);
 148         if (outfile == NULL)
 149                 {
 150                 BIO_set_fp(out,stdout,BIO_NOCLOSE);
 151                 }
 152         else
 153                 {
 154                 if (!BIO_write_filename(out,outfile))
 155                         {
 156                         perror(outfile);
 157                         exit(1);
 158                         }
 159                 }
 160
 161         if (!results)
 162                 BIO_puts(out,"obase=16\nibase=16\n");
 163
 164         message(out,"BN_add");
 165         if (!test_add(out)) goto err;
 166         BIO_flush(out);
 167
 168         message(out,"BN_sub");
 169         if (!test_sub(out)) goto err;
 170         BIO_flush(out);
 171
 172         message(out,"BN_lshift1");
 173         if (!test_lshift1(out)) goto err;
 174         BIO_flush(out);
 175
 176         message(out,"BN_lshift (fixed)");
 177         if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
 178             goto err;
 179         BIO_flush(out);
 180
 181         message(out,"BN_lshift");
 182         if (!test_lshift(out,ctx,NULL)) goto err;
 183         BIO_flush(out);
 184
 185         message(out,"BN_rshift1");
 186         if (!test_rshift1(out)) goto err;
 187         BIO_flush(out);
 188
 189         message(out,"BN_rshift");
 190         if (!test_rshift(out,ctx)) goto err;
 191         BIO_flush(out);
 192
 193         message(out,"BN_sqr");
 194         if (!test_sqr(out,ctx)) goto err;
 195         BIO_flush(out);
 196
 197         message(out,"BN_mul");
 198         if (!test_mul(out)) goto err;
 199         BIO_flush(out);
 200
 201         message(out,"BN_div");
 202         if (!test_div(out,ctx)) goto err;
 203         BIO_flush(out);
 204
 205         message(out,"BN_div_recp");
 206         if (!test_div_recp(out,ctx)) goto err;
 207         BIO_flush(out);
 208
 209         message(out,"BN_mod");
 210         if (!test_mod(out,ctx)) goto err;
 211         BIO_flush(out);
 212
 213         message(out,"BN_mod_mul");
 214         if (!test_mod_mul(out,ctx)) goto err;
 215         BIO_flush(out);
 216
 217         message(out,"BN_mont");
 218         if (!test_mont(out,ctx)) goto err;
 219         BIO_flush(out);
 220
 221         message(out,"BN_mod_exp");
 222         if (!test_mod_exp(out,ctx)) goto err;
 223         BIO_flush(out);
 224
 225         message(out,"BN_exp");
 226         if (!test_exp(out,ctx)) goto err;
 227         BIO_flush(out);
 228
 229         message(out,"BN_kronecker");
 230         if (!test_kron(out,ctx)) goto err;
 231         BIO_flush(out);
 232
 233         message(out,"BN_mod_sqrt");
 234         if (!test_sqrt(out,ctx)) goto err;
 235         BIO_flush(out);
 236
 237         BN_CTX_free(ctx);
 238         BIO_free(out);
 239
 240 /**/
 241         exit(0);
 242 err:
 243         BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
 244                               * the failure, see test_bn in test/Makefile.ssl*/
 245         BIO_flush(out);
 246         ERR_load_crypto_strings();
 247         ERR_print_errors_fp(stderr);
 248         exit(1);
 249         return(1);
 250         }
 251
 252 int test_add(BIO *bp)
 253         {
 254         BIGNUM a,b,c;
 255         int i;
 256
 257         BN_init(&a);
 258         BN_init(&b);
 259         BN_init(&c);
 260
 261         BN_bntest_rand(&a,512,0,0);
 262         for (i=0; i<num0; i++)
 263                 {
 264                 BN_bntest_rand(&b,450+i,0,0);
 265                 a.neg=rand_neg();
 266                 b.neg=rand_neg();
 267                 BN_add(&c,&a,&b);
 268                 if (bp != NULL)
 269                         {
 270                         if (!results)
 271                                 {
 272                                 BN_print(bp,&a);
 273                                 BIO_puts(bp," + ");
 274                                 BN_print(bp,&b);
 275                                 BIO_puts(bp," - ");
 276                                 }
 277                         BN_print(bp,&c);
 278                         BIO_puts(bp,"\n");
 279                         }
 280                 a.neg=!a.neg;
 281                 b.neg=!b.neg;
 282                 BN_add(&c,&c,&b);
 283                 BN_add(&c,&c,&a);
 284                 if(!BN_is_zero(&c))
 285                     {
 286                     fprintf(stderr,"Add test failed!\n");
 287                     return 0;
 288                     }
 289                 }
 290         BN_free(&a);
 291         BN_free(&b);
 292         BN_free(&c);
 293         return(1);
 294         }
 295
 296 int test_sub(BIO *bp)
 297         {
 298         BIGNUM a,b,c;
 299         int i;
 300
 301         BN_init(&a);
 302         BN_init(&b);
 303         BN_init(&c);
 304
 305         for (i=0; i<num0+num1; i++)
 306                 {
 307                 if (i < num1)
 308                         {
 309                         BN_bntest_rand(&a,512,0,0);
 310                         BN_copy(&b,&a);
 311                         if (BN_set_bit(&a,i)==0) return(0);
 312                         BN_add_word(&b,i);
 313                         }
 314                 else
 315                         {
 316                         BN_bntest_rand(&b,400+i-num1,0,0);
 317                         a.neg=rand_neg();
 318                         b.neg=rand_neg();
 319                         }
 320                 BN_sub(&c,&a,&b);
 321                 if (bp != NULL)
 322                         {
 323                         if (!results)
 324                                 {
 325                                 BN_print(bp,&a);
 326                                 BIO_puts(bp," - ");
 327                                 BN_print(bp,&b);
 328                                 BIO_puts(bp," - ");
 329                                 }
 330                         BN_print(bp,&c);
 331                         BIO_puts(bp,"\n");
 332                         }
 333                 BN_add(&c,&c,&b);
 334                 BN_sub(&c,&c,&a);
 335                 if(!BN_is_zero(&c))
 336                     {
 337                     fprintf(stderr,"Subtract test failed!\n");
 338                     return 0;
 339                     }
 340                 }
 341         BN_free(&a);
 342         BN_free(&b);
 343         BN_free(&c);
 344         return(1);
 345         }
 346
 347 int test_div(BIO *bp, BN_CTX *ctx)
 348         {
 349         BIGNUM a,b,c,d,e;
 350         int i;
 351
 352         BN_init(&a);
 353         BN_init(&b);
 354         BN_init(&c);
 355         BN_init(&d);
 356         BN_init(&e);
 357
 358         for (i=0; i<num0+num1; i++)
 359                 {
 360                 if (i < num1)
 361                         {
 362                         BN_bntest_rand(&a,400,0,0);
 363                         BN_copy(&b,&a);
 364                         BN_lshift(&a,&a,i);
 365                         BN_add_word(&a,i);
 366                         }
 367                 else
 368                         BN_bntest_rand(&b,50+3*(i-num1),0,0);
 369                 a.neg=rand_neg();
 370                 b.neg=rand_neg();
 371                 BN_div(&d,&c,&a,&b,ctx);
 372                 if (bp != NULL)
 373                         {
 374                         if (!results)
 375                                 {
 376                                 BN_print(bp,&a);
 377                                 BIO_puts(bp," / ");
 378                                 BN_print(bp,&b);
 379                                 BIO_puts(bp," - ");
 380                                 }
 381                         BN_print(bp,&d);
 382                         BIO_puts(bp,"\n");
 383
 384                         if (!results)
 385                                 {
 386                                 BN_print(bp,&a);
 387                                 BIO_puts(bp," % ");
 388                                 BN_print(bp,&b);
 389                                 BIO_puts(bp," - ");
 390                                 }
 391                         BN_print(bp,&c);
 392                         BIO_puts(bp,"\n");
 393                         }
 394                 BN_mul(&e,&d,&b,ctx);
 395                 BN_add(&d,&e,&c);
 396                 BN_sub(&d,&d,&a);
 397                 if(!BN_is_zero(&d))
 398                     {
 399                     fprintf(stderr,"Division test failed!\n");
 400                     return 0;
 401                     }
 402                 }
 403         BN_free(&a);
 404         BN_free(&b);
 405         BN_free(&c);
 406         BN_free(&d);
 407         BN_free(&e);
 408         return(1);
 409         }
 410
 411 int test_div_recp(BIO *bp, BN_CTX *ctx)
 412         {
 413         BIGNUM a,b,c,d,e;
 414         BN_RECP_CTX recp;
 415         int i;
 416
 417         BN_RECP_CTX_init(&recp);
 418         BN_init(&a);
 419         BN_init(&b);
 420         BN_init(&c);
 421         BN_init(&d);
 422         BN_init(&e);
 423
 424         for (i=0; i<num0+num1; i++)
 425                 {
 426                 if (i < num1)
 427                         {
 428                         BN_bntest_rand(&a,400,0,0);
 429                         BN_copy(&b,&a);
 430                         BN_lshift(&a,&a,i);
 431                         BN_add_word(&a,i);
 432                         }
 433                 else
 434                         BN_bntest_rand(&b,50+3*(i-num1),0,0);
 435                 a.neg=rand_neg();
 436                 b.neg=rand_neg();
 437                 BN_RECP_CTX_set(&recp,&b,ctx);
 438                 BN_div_recp(&d,&c,&a,&recp,ctx);
 439                 if (bp != NULL)
 440                         {
 441                         if (!results)
 442                                 {
 443                                 BN_print(bp,&a);
 444                                 BIO_puts(bp," / ");
 445                                 BN_print(bp,&b);
 446                                 BIO_puts(bp," - ");
 447                                 }
 448                         BN_print(bp,&d);
 449                         BIO_puts(bp,"\n");
 450
 451                         if (!results)
 452                                 {
 453                                 BN_print(bp,&a);
 454                                 BIO_puts(bp," % ");
 455                                 BN_print(bp,&b);
 456                                 BIO_puts(bp," - ");
 457                                 }
 458                         BN_print(bp,&c);
 459                         BIO_puts(bp,"\n");
 460                         }
 461                 BN_mul(&e,&d,&b,ctx);
 462                 BN_add(&d,&e,&c);
 463                 BN_sub(&d,&d,&a);
 464                 if(!BN_is_zero(&d))
 465                     {
 466                     fprintf(stderr,"Reciprocal division test failed!\n");
 467                     fprintf(stderr,"a=");
 468                     BN_print_fp(stderr,&a);
 469                     fprintf(stderr,"\nb=");
 470                     BN_print_fp(stderr,&b);
 471                     fprintf(stderr,"\n");
 472                     return 0;
 473                     }
 474                 }
 475         BN_free(&a);
 476         BN_free(&b);
 477         BN_free(&c);
 478         BN_free(&d);
 479         BN_free(&e);
 480         BN_RECP_CTX_free(&recp);
 481         return(1);
 482         }
 483
 484 int test_mul(BIO *bp)
 485         {
 486         BIGNUM a,b,c,d,e;
 487         int i;
 488         BN_CTX ctx;
 489
 490         BN_CTX_init(&ctx);
 491         BN_init(&a);
 492         BN_init(&b);
 493         BN_init(&c);
 494         BN_init(&d);
 495         BN_init(&e);
 496
 497         for (i=0; i<num0+num1; i++)
 498                 {
 499                 if (i <= num1)
 500                         {
 501                         BN_bntest_rand(&a,100,0,0);
 502                         BN_bntest_rand(&b,100,0,0);
 503                         }
 504                 else
 505                         BN_bntest_rand(&b,i-num1,0,0);
 506                 a.neg=rand_neg();
 507                 b.neg=rand_neg();
 508                 BN_mul(&c,&a,&b,&ctx);
 509                 if (bp != NULL)
 510                         {
 511                         if (!results)
 512                                 {
 513                                 BN_print(bp,&a);
 514                                 BIO_puts(bp," * ");
 515                                 BN_print(bp,&b);
 516                                 BIO_puts(bp," - ");
 517                                 }
 518                         BN_print(bp,&c);
 519                         BIO_puts(bp,"\n");
 520                         }
 521                 BN_div(&d,&e,&c,&a,&ctx);
 522                 BN_sub(&d,&d,&b);
 523                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 524                     {
 525                     fprintf(stderr,"Multiplication test failed!\n");
 526                     return 0;
 527                     }
 528                 }
 529         BN_free(&a);
 530         BN_free(&b);
 531         BN_free(&c);
 532         BN_free(&d);
 533         BN_free(&e);
 534         BN_CTX_free(&ctx);
 535         return(1);
 536         }
 537
 538 int test_sqr(BIO *bp, BN_CTX *ctx)
 539         {
 540         BIGNUM a,c,d,e;
 541         int i;
 542
 543         BN_init(&a);
 544         BN_init(&c);
 545         BN_init(&d);
 546         BN_init(&e);
 547
 548         for (i=0; i<num0; i++)
 549                 {
 550                 BN_bntest_rand(&a,40+i*10,0,0);
 551                 a.neg=rand_neg();
 552                 BN_sqr(&c,&a,ctx);
 553                 if (bp != NULL)
 554                         {
 555                         if (!results)
 556                                 {
 557                                 BN_print(bp,&a);
 558                                 BIO_puts(bp," * ");
 559                                 BN_print(bp,&a);
 560                                 BIO_puts(bp," - ");
 561                                 }
 562                         BN_print(bp,&c);
 563                         BIO_puts(bp,"\n");
 564                         }
 565                 BN_div(&d,&e,&c,&a,ctx);
 566                 BN_sub(&d,&d,&a);
 567                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 568                     {
 569                     fprintf(stderr,"Square test failed!\n");
 570                     return 0;
 571                     }
 572                 }
 573         BN_free(&a);
 574         BN_free(&c);
 575         BN_free(&d);
 576         BN_free(&e);
 577         return(1);
 578         }
 579
 580 int test_mont(BIO *bp, BN_CTX *ctx)
 581         {
 582         BIGNUM a,b,c,d,A,B;
 583         BIGNUM n;
 584         int i;
 585         BN_MONT_CTX *mont;
 586
 587         BN_init(&a);
 588         BN_init(&b);
 589         BN_init(&c);
 590         BN_init(&d);
 591         BN_init(&A);
 592         BN_init(&B);
 593         BN_init(&n);
 594
 595         mont=BN_MONT_CTX_new();
 596
 597         BN_bntest_rand(&a,100,0,0); /**/
 598         BN_bntest_rand(&b,100,0,0); /**/
 599         for (i=0; i<num2; i++)
 600                 {
 601                 int bits = (200*(i+1))/num2;
 602
 603                 if (bits == 0)
 604                         continue;
 605                 BN_bntest_rand(&n,bits,0,1);
 606                 BN_MONT_CTX_set(mont,&n,ctx);
 607
 608                 BN_nnmod(&a,&a,&n,ctx);
 609                 BN_nnmod(&b,&b,&n,ctx);
 610
 611                 BN_to_montgomery(&A,&a,mont,ctx);
 612                 BN_to_montgomery(&B,&b,mont,ctx);
 613
 614                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 615                 BN_from_montgomery(&A,&c,mont,ctx);/**/
 616                 if (bp != NULL)
 617                         {
 618                         if (!results)
 619                                 {
 620 #ifdef undef
 621 fprintf(stderr,"%d * %d %% %d\n",
 622 BN_num_bits(&a),
 623 BN_num_bits(&b),
 624 BN_num_bits(mont->N));
 625 #endif
 626                                 BN_print(bp,&a);
 627                                 BIO_puts(bp," * ");
 628                                 BN_print(bp,&b);
 629                                 BIO_puts(bp," % ");
 630                                 BN_print(bp,&(mont->N));
 631                                 BIO_puts(bp," - ");
 632                                 }
 633                         BN_print(bp,&A);
 634                         BIO_puts(bp,"\n");
 635                         }
 636                 BN_mod_mul(&d,&a,&b,&n,ctx);
 637                 BN_sub(&d,&d,&A);
 638                 if(!BN_is_zero(&d))
 639                     {
 640                     fprintf(stderr,"Montgomery multiplication test failed!\n");
 641                     return 0;
 642                     }
 643                 }
 644         BN_MONT_CTX_free(mont);
 645         BN_free(&a);
 646         BN_free(&b);
 647         BN_free(&c);
 648         BN_free(&d);
 649         BN_free(&A);
 650         BN_free(&B);
 651         BN_free(&n);
 652         return(1);
 653         }
 654
 655 int test_mod(BIO *bp, BN_CTX *ctx)
 656         {
 657         BIGNUM *a,*b,*c,*d,*e;
 658         int i;
 659
 660         a=BN_new();
 661         b=BN_new();
 662         c=BN_new();
 663         d=BN_new();
 664         e=BN_new();
 665
 666         BN_bntest_rand(a,1024,0,0); /**/
 667         for (i=0; i<num0; i++)
 668                 {
 669                 BN_bntest_rand(b,450+i*10,0,0); /**/
 670                 a->neg=rand_neg();
 671                 b->neg=rand_neg();
 672                 BN_mod(c,a,b,ctx);/**/
 673                 if (bp != NULL)
 674                         {
 675                         if (!results)
 676                                 {
 677                                 BN_print(bp,a);
 678                                 BIO_puts(bp," % ");
 679                                 BN_print(bp,b);
 680                                 BIO_puts(bp," - ");
 681                                 }
 682                         BN_print(bp,c);
 683                         BIO_puts(bp,"\n");
 684                         }
 685                 BN_div(d,e,a,b,ctx);
 686                 BN_sub(e,e,c);
 687                 if(!BN_is_zero(e))
 688                     {
 689                     fprintf(stderr,"Modulo test failed!\n");
 690                     return 0;
 691                     }
 692                 }
 693         BN_free(a);
 694         BN_free(b);
 695         BN_free(c);
 696         BN_free(d);
 697         BN_free(e);
 698         return(1);
 699         }
 700
 701 int test_mod_mul(BIO *bp, BN_CTX *ctx)
 702         {
 703         BIGNUM *a,*b,*c,*d,*e;
 704         int i,j;
 705
 706         a=BN_new();
 707         b=BN_new();
 708         c=BN_new();
 709         d=BN_new();
 710         e=BN_new();
 711
 712         for (j=0; j<3; j++) {
 713         BN_bntest_rand(c,1024,0,0); /**/
 714         for (i=0; i<num0; i++)
 715                 {
 716                 BN_bntest_rand(a,475+i*10,0,0); /**/
 717                 BN_bntest_rand(b,425+i*11,0,0); /**/
 718                 a->neg=rand_neg();
 719                 b->neg=rand_neg();
 720                 if (!BN_mod_mul(e,a,b,c,ctx))
 721                         {
 722                         unsigned long l;
 723
 724                         while ((l=ERR_get_error()))
 725                                 fprintf(stderr,"ERROR:%s\n",
 726                                         ERR_error_string(l,NULL));
 727                         exit(1);
 728                         }
 729                 if (bp != NULL)
 730                         {
 731                         if (!results)
 732                                 {
 733                                 BN_print(bp,a);
 734                                 BIO_puts(bp," * ");
 735                                 BN_print(bp,b);
 736                                 BIO_puts(bp," % ");
 737                                 BN_print(bp,c);
 738                                 if ((a->neg ^ b->neg) && !BN_is_zero(e))
 739                                         {
 740                                         /* If  (a*b) % c  is negative,  c  must be added
 741                                          * in order to obtain the normalized remainder
 742                                          * (new with OpenSSL 0.9.7, previous versions of
 743                                          * BN_mod_mul could generate negative results)
 744                                          */
 745                                         BIO_puts(bp," + ");
 746                                         BN_print(bp,c);
 747                                         }
 748                                 BIO_puts(bp," - ");
 749                                 }
 750                         BN_print(bp,e);
 751                         BIO_puts(bp,"\n");
 752                         }
 753                 BN_mul(d,a,b,ctx);
 754                 BN_sub(d,d,e);
 755                 BN_div(a,b,d,c,ctx);
 756                 if(!BN_is_zero(b))
 757                     {
 758                     fprintf(stderr,"Modulo multiply test failed!\n");
 759                     ERR_print_errors_fp(stderr);
 760                     return 0;
 761                     }
 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         b->neg = rand_neg();
 911         putc('\n', stderr);
 912
 913         for (i = 0; i < num0; i++)
 914                 {
 915                 if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
 916                 a->neg = rand_neg();
 917
 918                 /* t := (|b|-1)/2  (note that b is odd) */
 919                 if (!BN_copy(t, b)) goto err;
 920                 t->neg = 0;
 921                 if (!BN_sub_word(t, 1)) goto err;
 922                 if (!BN_rshift1(t, t)) goto err;
 923                 /* r := a^t mod b */
 924                 b->neg=0;
 925
 926                 if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err; /* XXX should be BN_mod_exp_recp, but ..._recp triggers a bug that must be fixed */
 927                 b->neg=1;
 928
 929                 if (BN_is_word(r, 1))
 930                         legendre = 1;
 931                 else if (BN_is_zero(r))
 932                         legendre = 0;
 933                 else
 934                         {
 935                         if (!BN_add_word(r, 1)) goto err;
 936                         if (0 != BN_ucmp(r, b))
 937                                 {
 938                                 fprintf(stderr, "Legendre symbol computation failed\n");
 939                                 goto err;
 940                                 }
 941                         legendre = -1;
 942                         }
 943
 944                 kronecker = BN_kronecker(a, b, ctx);
 945                 if (kronecker < -1) goto err;
 946                 /* we actually need BN_kronecker(a, |b|) */
 947                 if (a->neg && b->neg)
 948                         kronecker = -kronecker;
 949
 950                 if (legendre != kronecker)
 951                         {
 952                         fprintf(stderr, "legendre != kronecker; a = ");
 953                         BN_print_fp(stderr, a);
 954                         fprintf(stderr, ", b = ");
 955                         BN_print_fp(stderr, b);
 956                         fprintf(stderr, "\n");
 957                         goto err;
 958                         }
 959
 960                 putc('.', stderr);
 961                 fflush(stderr);
 962                 }
 963
 964         putc('\n', stderr);
 965         fflush(stderr);
 966         ret = 1;
 967  err:
 968         if (a != NULL) BN_free(a);
 969         if (b != NULL) BN_free(b);
 970         if (r != NULL) BN_free(r);
 971         if (t != NULL) BN_free(t);
 972         return ret;
 973         }
 974
 975 int test_sqrt(BIO *bp, BN_CTX *ctx)
 976         {
 977         BIGNUM *a,*p,*r;
 978         int i, j;
 979         int ret = 0;
 980
 981         a = BN_new();
 982         p = BN_new();
 983         r = BN_new();
 984         if (a == NULL || p == NULL || r == NULL) goto err;
 985
 986         for (i = 0; i < 16; i++)
 987                 {
 988                 if (i < 8)
 989                         {
 990                         unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
 991
 992                         if (!BN_set_word(p, primes[i])) goto err;
 993                         }
 994                 else
 995                         {
 996                         if (!BN_set_word(a, 32)) goto err;
 997                         if (!BN_set_word(r, 2*i + 1)) goto err;
 998
 999                         if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
1000                         putc('\n', stderr);
1001                         }
1002                 p->neg = rand_neg();
1003
1004                 for (j = 0; j < num2; j++)
1005                         {
1006                         /* construct 'a' such that it is a square modulo p,
1007                          * but in general not a proper square and not reduced modulo p */
1008                         if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
1009                         if (!BN_nnmod(r, r, p, ctx)) goto err;
1010                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1011                         if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
1012                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1013                         if (!BN_mod_sqr(a, a, p, ctx)) goto err;
1014                         if (!BN_mul(a, a, r, ctx)) goto err;
1015                         if (rand_neg())
1016                                 if (!BN_sub(a, a, p)) goto err;
1017
1018                         if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
1019                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1020
1021                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1022
1023                         if (BN_cmp(a, r) != 0)
1024                                 {
1025                                 fprintf(stderr, "BN_mod_sqrt failed: a = ");
1026                                 BN_print_fp(stderr, a);
1027                                 fprintf(stderr, ", r = ");
1028                                 BN_print_fp(stderr, r);
1029                                 fprintf(stderr, ", p = ");
1030                                 BN_print_fp(stderr, p);
1031                                 fprintf(stderr, "\n");
1032                                 goto err;
1033                                 }
1034
1035                         putc('.', stderr);
1036                         fflush(stderr);
1037                         }
1038
1039                 putc('\n', stderr);
1040                 fflush(stderr);
1041                 }
1042         ret = 1;
1043  err:
1044         if (a != NULL) BN_free(a);
1045         if (p != NULL) BN_free(p);
1046         if (r != NULL) BN_free(r);
1047         return ret;
1048         }
1049
1050 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1051         {
1052         BIGNUM *a,*b,*c,*d;
1053         int i;
1054
1055         b=BN_new();
1056         c=BN_new();
1057         d=BN_new();
1058         BN_one(c);
1059
1060         if(a_)
1061             a=a_;
1062         else
1063             {
1064             a=BN_new();
1065             BN_bntest_rand(a,200,0,0); /**/
1066             a->neg=rand_neg();
1067             }
1068         for (i=0; i<num0; i++)
1069                 {
1070                 BN_lshift(b,a,i+1);
1071                 BN_add(c,c,c);
1072                 if (bp != NULL)
1073                         {
1074                         if (!results)
1075                                 {
1076                                 BN_print(bp,a);
1077                                 BIO_puts(bp," * ");
1078                                 BN_print(bp,c);
1079                                 BIO_puts(bp," - ");
1080                                 }
1081                         BN_print(bp,b);
1082                         BIO_puts(bp,"\n");
1083                         }
1084                 BN_mul(d,a,c,ctx);
1085                 BN_sub(d,d,b);
1086                 if(!BN_is_zero(d))
1087                     {
1088                     fprintf(stderr,"Left shift test failed!\n");
1089                     fprintf(stderr,"a=");
1090                     BN_print_fp(stderr,a);
1091                     fprintf(stderr,"\nb=");
1092                     BN_print_fp(stderr,b);
1093                     fprintf(stderr,"\nc=");
1094                     BN_print_fp(stderr,c);
1095                     fprintf(stderr,"\nd=");
1096                     BN_print_fp(stderr,d);
1097                     fprintf(stderr,"\n");
1098                     return 0;
1099                     }
1100                 }
1101         BN_free(a);
1102         BN_free(b);
1103         BN_free(c);
1104         BN_free(d);
1105         return(1);
1106         }
1107
1108 int test_lshift1(BIO *bp)
1109         {
1110         BIGNUM *a,*b,*c;
1111         int i;
1112
1113         a=BN_new();
1114         b=BN_new();
1115         c=BN_new();
1116
1117         BN_bntest_rand(a,200,0,0); /**/
1118         a->neg=rand_neg();
1119         for (i=0; i<num0; i++)
1120                 {
1121                 BN_lshift1(b,a);
1122                 if (bp != NULL)
1123                         {
1124                         if (!results)
1125                                 {
1126                                 BN_print(bp,a);
1127                                 BIO_puts(bp," * 2");
1128                                 BIO_puts(bp," - ");
1129                                 }
1130                         BN_print(bp,b);
1131                         BIO_puts(bp,"\n");
1132                         }
1133                 BN_add(c,a,a);
1134                 BN_sub(a,b,c);
1135                 if(!BN_is_zero(a))
1136                     {
1137                     fprintf(stderr,"Left shift one test failed!\n");
1138                     return 0;
1139                     }
1140
1141                 BN_copy(a,b);
1142                 }
1143         BN_free(a);
1144         BN_free(b);
1145         BN_free(c);
1146         return(1);
1147         }
1148
1149 int test_rshift(BIO *bp,BN_CTX *ctx)
1150         {
1151         BIGNUM *a,*b,*c,*d,*e;
1152         int i;
1153
1154         a=BN_new();
1155         b=BN_new();
1156         c=BN_new();
1157         d=BN_new();
1158         e=BN_new();
1159         BN_one(c);
1160
1161         BN_bntest_rand(a,200,0,0); /**/
1162         a->neg=rand_neg();
1163         for (i=0; i<num0; i++)
1164                 {
1165                 BN_rshift(b,a,i+1);
1166                 BN_add(c,c,c);
1167                 if (bp != NULL)
1168                         {
1169                         if (!results)
1170                                 {
1171                                 BN_print(bp,a);
1172                                 BIO_puts(bp," / ");
1173                                 BN_print(bp,c);
1174                                 BIO_puts(bp," - ");
1175                                 }
1176                         BN_print(bp,b);
1177                         BIO_puts(bp,"\n");
1178                         }
1179                 BN_div(d,e,a,c,ctx);
1180                 BN_sub(d,d,b);
1181                 if(!BN_is_zero(d))
1182                     {
1183                     fprintf(stderr,"Right shift test failed!\n");
1184                     return 0;
1185                     }
1186                 }
1187         BN_free(a);
1188         BN_free(b);
1189         BN_free(c);
1190         BN_free(d);
1191         BN_free(e);
1192         return(1);
1193         }
1194
1195 int test_rshift1(BIO *bp)
1196         {
1197         BIGNUM *a,*b,*c;
1198         int i;
1199
1200         a=BN_new();
1201         b=BN_new();
1202         c=BN_new();
1203
1204         BN_bntest_rand(a,200,0,0); /**/
1205         a->neg=rand_neg();
1206         for (i=0; i<num0; i++)
1207                 {
1208                 BN_rshift1(b,a);
1209                 if (bp != NULL)
1210                         {
1211                         if (!results)
1212                                 {
1213                                 BN_print(bp,a);
1214                                 BIO_puts(bp," / 2");
1215                                 BIO_puts(bp," - ");
1216                                 }
1217                         BN_print(bp,b);
1218                         BIO_puts(bp,"\n");
1219                         }
1220                 BN_sub(c,a,b);
1221                 BN_sub(c,c,b);
1222                 if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
1223                     {
1224                     fprintf(stderr,"Right shift one test failed!\n");
1225                     return 0;
1226                     }
1227                 BN_copy(a,b);
1228                 }
1229         BN_free(a);
1230         BN_free(b);
1231         BN_free(c);
1232         return(1);
1233         }
1234
1235 int rand_neg(void)
1236         {
1237         static unsigned int neg=0;
1238         static int sign[8]={0,0,0,1,1,0,1,1};
1239
1240         return(sign[(neg++)%8]);
1241         }