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 "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 OPENSSL_SYS_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         ctx = BN_CTX_new();
 491         if (ctx == NULL) exit(1);
 492
 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         b->neg = rand_neg();
 913         putc('\n', stderr);
 914
 915         for (i = 0; i < num0; i++)
 916                 {
 917                 if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
 918                 a->neg = rand_neg();
 919
 920                 /* t := (|b|-1)/2  (note that b is odd) */
 921                 if (!BN_copy(t, b)) goto err;
 922                 t->neg = 0;
 923                 if (!BN_sub_word(t, 1)) goto err;
 924                 if (!BN_rshift1(t, t)) goto err;
 925                 /* r := a^t mod b */
 926                 b->neg=0;
 927
 928                 if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
 929                 b->neg=1;
 930
 931                 if (BN_is_word(r, 1))
 932                         legendre = 1;
 933                 else if (BN_is_zero(r))
 934                         legendre = 0;
 935                 else
 936                         {
 937                         if (!BN_add_word(r, 1)) goto err;
 938                         if (0 != BN_ucmp(r, b))
 939                                 {
 940                                 fprintf(stderr, "Legendre symbol computation failed\n");
 941                                 goto err;
 942                                 }
 943                         legendre = -1;
 944                         }
 945
 946                 kronecker = BN_kronecker(a, b, ctx);
 947                 if (kronecker < -1) goto err;
 948                 /* we actually need BN_kronecker(a, |b|) */
 949                 if (a->neg && b->neg)
 950                         kronecker = -kronecker;
 951
 952                 if (legendre != kronecker)
 953                         {
 954                         fprintf(stderr, "legendre != kronecker; a = ");
 955                         BN_print_fp(stderr, a);
 956                         fprintf(stderr, ", b = ");
 957                         BN_print_fp(stderr, b);
 958                         fprintf(stderr, "\n");
 959                         goto err;
 960                         }
 961
 962                 putc('.', stderr);
 963                 fflush(stderr);
 964                 }
 965
 966         putc('\n', stderr);
 967         fflush(stderr);
 968         ret = 1;
 969  err:
 970         if (a != NULL) BN_free(a);
 971         if (b != NULL) BN_free(b);
 972         if (r != NULL) BN_free(r);
 973         if (t != NULL) BN_free(t);
 974         return ret;
 975         }
 976
 977 int test_sqrt(BIO *bp, BN_CTX *ctx)
 978         {
 979         BIGNUM *a,*p,*r;
 980         int i, j;
 981         int ret = 0;
 982
 983         a = BN_new();
 984         p = BN_new();
 985         r = BN_new();
 986         if (a == NULL || p == NULL || r == NULL) goto err;
 987
 988         for (i = 0; i < 16; i++)
 989                 {
 990                 if (i < 8)
 991                         {
 992                         unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
 993
 994                         if (!BN_set_word(p, primes[i])) goto err;
 995                         }
 996                 else
 997                         {
 998                         if (!BN_set_word(a, 32)) goto err;
 999                         if (!BN_set_word(r, 2*i + 1)) goto err;
1000
1001                         if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
1002                         putc('\n', stderr);
1003                         }
1004                 p->neg = rand_neg();
1005
1006                 for (j = 0; j < num2; j++)
1007                         {
1008                         /* construct 'a' such that it is a square modulo p,
1009                          * but in general not a proper square and not reduced modulo p */
1010                         if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
1011                         if (!BN_nnmod(r, r, p, ctx)) goto err;
1012                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1013                         if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
1014                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1015                         if (!BN_mod_sqr(a, a, p, ctx)) goto err;
1016                         if (!BN_mul(a, a, r, ctx)) goto err;
1017                         if (rand_neg())
1018                                 if (!BN_sub(a, a, p)) goto err;
1019
1020                         if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
1021                         if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1022
1023                         if (!BN_nnmod(a, a, p, ctx)) goto err;
1024
1025                         if (BN_cmp(a, r) != 0)
1026                                 {
1027                                 fprintf(stderr, "BN_mod_sqrt failed: a = ");
1028                                 BN_print_fp(stderr, a);
1029                                 fprintf(stderr, ", r = ");
1030                                 BN_print_fp(stderr, r);
1031                                 fprintf(stderr, ", p = ");
1032                                 BN_print_fp(stderr, p);
1033                                 fprintf(stderr, "\n");
1034                                 goto err;
1035                                 }
1036
1037                         putc('.', stderr);
1038                         fflush(stderr);
1039                         }
1040
1041                 putc('\n', stderr);
1042                 fflush(stderr);
1043                 }
1044         ret = 1;
1045  err:
1046         if (a != NULL) BN_free(a);
1047         if (p != NULL) BN_free(p);
1048         if (r != NULL) BN_free(r);
1049         return ret;
1050         }
1051
1052 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1053         {
1054         BIGNUM *a,*b,*c,*d;
1055         int i;
1056
1057         b=BN_new();
1058         c=BN_new();
1059         d=BN_new();
1060         BN_one(c);
1061
1062         if(a_)
1063             a=a_;
1064         else
1065             {
1066             a=BN_new();
1067             BN_bntest_rand(a,200,0,0); /**/
1068             a->neg=rand_neg();
1069             }
1070         for (i=0; i<num0; i++)
1071                 {
1072                 BN_lshift(b,a,i+1);
1073                 BN_add(c,c,c);
1074                 if (bp != NULL)
1075                         {
1076                         if (!results)
1077                                 {
1078                                 BN_print(bp,a);
1079                                 BIO_puts(bp," * ");
1080                                 BN_print(bp,c);
1081                                 BIO_puts(bp," - ");
1082                                 }
1083                         BN_print(bp,b);
1084                         BIO_puts(bp,"\n");
1085                         }
1086                 BN_mul(d,a,c,ctx);
1087                 BN_sub(d,d,b);
1088                 if(!BN_is_zero(d))
1089                     {
1090                     fprintf(stderr,"Left shift test failed!\n");
1091                     fprintf(stderr,"a=");
1092                     BN_print_fp(stderr,a);
1093                     fprintf(stderr,"\nb=");
1094                     BN_print_fp(stderr,b);
1095                     fprintf(stderr,"\nc=");
1096                     BN_print_fp(stderr,c);
1097                     fprintf(stderr,"\nd=");
1098                     BN_print_fp(stderr,d);
1099                     fprintf(stderr,"\n");
1100                     return 0;
1101                     }
1102                 }
1103         BN_free(a);
1104         BN_free(b);
1105         BN_free(c);
1106         BN_free(d);
1107         return(1);
1108         }
1109
1110 int test_lshift1(BIO *bp)
1111         {
1112         BIGNUM *a,*b,*c;
1113         int i;
1114
1115         a=BN_new();
1116         b=BN_new();
1117         c=BN_new();
1118
1119         BN_bntest_rand(a,200,0,0); /**/
1120         a->neg=rand_neg();
1121         for (i=0; i<num0; i++)
1122                 {
1123                 BN_lshift1(b,a);
1124                 if (bp != NULL)
1125                         {
1126                         if (!results)
1127                                 {
1128                                 BN_print(bp,a);
1129                                 BIO_puts(bp," * 2");
1130                                 BIO_puts(bp," - ");
1131                                 }
1132                         BN_print(bp,b);
1133                         BIO_puts(bp,"\n");
1134                         }
1135                 BN_add(c,a,a);
1136                 BN_sub(a,b,c);
1137                 if(!BN_is_zero(a))
1138                     {
1139                     fprintf(stderr,"Left shift one test failed!\n");
1140                     return 0;
1141                     }
1142
1143                 BN_copy(a,b);
1144                 }
1145         BN_free(a);
1146         BN_free(b);
1147         BN_free(c);
1148         return(1);
1149         }
1150
1151 int test_rshift(BIO *bp,BN_CTX *ctx)
1152         {
1153         BIGNUM *a,*b,*c,*d,*e;
1154         int i;
1155
1156         a=BN_new();
1157         b=BN_new();
1158         c=BN_new();
1159         d=BN_new();
1160         e=BN_new();
1161         BN_one(c);
1162
1163         BN_bntest_rand(a,200,0,0); /**/
1164         a->neg=rand_neg();
1165         for (i=0; i<num0; i++)
1166                 {
1167                 BN_rshift(b,a,i+1);
1168                 BN_add(c,c,c);
1169                 if (bp != NULL)
1170                         {
1171                         if (!results)
1172                                 {
1173                                 BN_print(bp,a);
1174                                 BIO_puts(bp," / ");
1175                                 BN_print(bp,c);
1176                                 BIO_puts(bp," - ");
1177                                 }
1178                         BN_print(bp,b);
1179                         BIO_puts(bp,"\n");
1180                         }
1181                 BN_div(d,e,a,c,ctx);
1182                 BN_sub(d,d,b);
1183                 if(!BN_is_zero(d))
1184                     {
1185                     fprintf(stderr,"Right shift test failed!\n");
1186                     return 0;
1187                     }
1188                 }
1189         BN_free(a);
1190         BN_free(b);
1191         BN_free(c);
1192         BN_free(d);
1193         BN_free(e);
1194         return(1);
1195         }
1196
1197 int test_rshift1(BIO *bp)
1198         {
1199         BIGNUM *a,*b,*c;
1200         int i;
1201
1202         a=BN_new();
1203         b=BN_new();
1204         c=BN_new();
1205
1206         BN_bntest_rand(a,200,0,0); /**/
1207         a->neg=rand_neg();
1208         for (i=0; i<num0; i++)
1209                 {
1210                 BN_rshift1(b,a);
1211                 if (bp != NULL)
1212                         {
1213                         if (!results)
1214                                 {
1215                                 BN_print(bp,a);
1216                                 BIO_puts(bp," / 2");
1217                                 BIO_puts(bp," - ");
1218                                 }
1219                         BN_print(bp,b);
1220                         BIO_puts(bp,"\n");
1221                         }
1222                 BN_sub(c,a,b);
1223                 BN_sub(c,c,b);
1224                 if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
1225                     {
1226                     fprintf(stderr,"Right shift one test failed!\n");
1227                     return 0;
1228                     }
1229                 BN_copy(a,b);
1230                 }
1231         BN_free(a);
1232         BN_free(b);
1233         BN_free(c);
1234         return(1);
1235         }
1236
1237 int rand_neg(void)
1238         {
1239         static unsigned int neg=0;
1240         static int sign[8]={0,0,0,1,1,0,1,1};
1241
1242         return(sign[(neg++)%8]);
1243         }