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 rand_neg(void);
  96 static int results=0;
  97
  98 #ifdef NO_STDIO
  99 #define APPS_WIN16
 100 #include "bss_file.c"
 101 #endif
 102
 103 static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
 104 "\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
 105
 106 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
 107
 108 static void message(BIO *out, char *m)
 109         {
 110         fprintf(stderr, "test %s\n", m);
 111 #if defined(linux) || defined(__FreeBSD__) /* can we use GNU bc features? */
 112         BIO_puts(out, "print \"test ");
 113         BIO_puts(out, m);
 114         BIO_puts(out, "\\n\"\n");
 115 #endif
 116         }
 117
 118 int main(int argc, char *argv[])
 119         {
 120         BN_CTX *ctx;
 121         BIO *out;
 122         char *outfile=NULL;
 123
 124         results = 0;
 125
 126         RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we don't
 127                                                * even check its return value
 128                                                * (which we should) */
 129
 130         argc--;
 131         argv++;
 132         while (argc >= 1)
 133                 {
 134                 if (strcmp(*argv,"-results") == 0)
 135                         results=1;
 136                 else if (strcmp(*argv,"-out") == 0)
 137                         {
 138                         if (--argc < 1) break;
 139                         outfile= *(++argv);
 140                         }
 141                 argc--;
 142                 argv++;
 143                 }
 144
 145
 146         ctx=BN_CTX_new();
 147         if (ctx == NULL) exit(1);
 148
 149         out=BIO_new(BIO_s_file());
 150         if (out == NULL) exit(1);
 151         if (outfile == NULL)
 152                 {
 153                 BIO_set_fp(out,stdout,BIO_NOCLOSE);
 154                 }
 155         else
 156                 {
 157                 if (!BIO_write_filename(out,outfile))
 158                         {
 159                         perror(outfile);
 160                         exit(1);
 161                         }
 162                 }
 163
 164         if (!results)
 165                 BIO_puts(out,"obase=16\nibase=16\n");
 166
 167         message(out,"BN_add");
 168         if (!test_add(out)) goto err;
 169         BIO_flush(out);
 170
 171         message(out,"BN_sub");
 172         if (!test_sub(out)) goto err;
 173         BIO_flush(out);
 174
 175         message(out,"BN_lshift1");
 176         if (!test_lshift1(out)) goto err;
 177         BIO_flush(out);
 178
 179         message(out,"BN_lshift (fixed)");
 180         if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
 181             goto err;
 182         BIO_flush(out);
 183
 184         message(out,"BN_lshift");
 185         if (!test_lshift(out,ctx,NULL)) goto err;
 186         BIO_flush(out);
 187
 188         message(out,"BN_rshift1");
 189         if (!test_rshift1(out)) goto err;
 190         BIO_flush(out);
 191
 192         message(out,"BN_rshift");
 193         if (!test_rshift(out,ctx)) goto err;
 194         BIO_flush(out);
 195
 196         message(out,"BN_sqr");
 197         if (!test_sqr(out,ctx)) goto err;
 198         BIO_flush(out);
 199
 200         message(out,"BN_mul");
 201         if (!test_mul(out)) goto err;
 202         BIO_flush(out);
 203
 204         message(out,"BN_div");
 205         if (!test_div(out,ctx)) goto err;
 206         BIO_flush(out);
 207
 208         message(out,"BN_div_recp");
 209         if (!test_div_recp(out,ctx)) goto err;
 210         BIO_flush(out);
 211
 212         message(out,"BN_mod");
 213         if (!test_mod(out,ctx)) goto err;
 214         BIO_flush(out);
 215
 216         message(out,"BN_mod_mul");
 217         if (!test_mod_mul(out,ctx)) goto err;
 218         BIO_flush(out);
 219
 220         message(out,"BN_mont");
 221         if (!test_mont(out,ctx)) goto err;
 222         BIO_flush(out);
 223
 224         message(out,"BN_mod_exp");
 225         if (!test_mod_exp(out,ctx)) goto err;
 226         BIO_flush(out);
 227
 228         message(out,"BN_exp");
 229         if (!test_exp(out,ctx)) goto err;
 230         BIO_flush(out);
 231
 232         message(out,"BN_kronecker");
 233         if (!test_kron(out,ctx)) goto err;
 234         BIO_flush(out);
 235
 236         BN_CTX_free(ctx);
 237         BIO_free(out);
 238
 239 /**/
 240         exit(0);
 241 err:
 242         BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
 243                               * the failure, see test_bn in test/Makefile.ssl*/
 244         BIO_flush(out);
 245         ERR_load_crypto_strings();
 246         ERR_print_errors_fp(stderr);
 247         exit(1);
 248         return(1);
 249         }
 250
 251 int test_add(BIO *bp)
 252         {
 253         BIGNUM a,b,c;
 254         int i;
 255         int j;
 256
 257         BN_init(&a);
 258         BN_init(&b);
 259         BN_init(&c);
 260
 261         BN_rand(&a,512,0,0);
 262         for (i=0; i<num0; i++)
 263                 {
 264                 BN_rand(&b,450+i,0,0);
 265                 a.neg=rand_neg();
 266                 b.neg=rand_neg();
 267                 if (bp == NULL)
 268                         for (j=0; j<10000; j++)
 269                                 BN_add(&c,&a,&b);
 270                 BN_add(&c,&a,&b);
 271                 if (bp != NULL)
 272                         {
 273                         if (!results)
 274                                 {
 275                                 BN_print(bp,&a);
 276                                 BIO_puts(bp," + ");
 277                                 BN_print(bp,&b);
 278                                 BIO_puts(bp," - ");
 279                                 }
 280                         BN_print(bp,&c);
 281                         BIO_puts(bp,"\n");
 282                         }
 283                 a.neg=!a.neg;
 284                 b.neg=!b.neg;
 285                 BN_add(&c,&c,&b);
 286                 BN_add(&c,&c,&a);
 287                 if(!BN_is_zero(&c))
 288                     {
 289                     fprintf(stderr,"Add test failed!\n");
 290                     return 0;
 291                     }
 292                 }
 293         BN_free(&a);
 294         BN_free(&b);
 295         BN_free(&c);
 296         return(1);
 297         }
 298
 299 int test_sub(BIO *bp)
 300         {
 301         BIGNUM a,b,c;
 302         int i;
 303         int j;
 304
 305         BN_init(&a);
 306         BN_init(&b);
 307         BN_init(&c);
 308
 309         for (i=0; i<num0+num1; i++)
 310                 {
 311                 if (i < num1)
 312                         {
 313                         BN_rand(&a,512,0,0);
 314                         BN_copy(&b,&a);
 315                         if (BN_set_bit(&a,i)==0) return(0);
 316                         BN_add_word(&b,i);
 317                         }
 318                 else
 319                         {
 320                         BN_rand(&b,400+i-num1,0,0);
 321                         a.neg=rand_neg();
 322                         b.neg=rand_neg();
 323                         }
 324                 if (bp == NULL)
 325                         for (j=0; j<10000; j++)
 326                                 BN_sub(&c,&a,&b);
 327                 BN_sub(&c,&a,&b);
 328                 if (bp != NULL)
 329                         {
 330                         if (!results)
 331                                 {
 332                                 BN_print(bp,&a);
 333                                 BIO_puts(bp," - ");
 334                                 BN_print(bp,&b);
 335                                 BIO_puts(bp," - ");
 336                                 }
 337                         BN_print(bp,&c);
 338                         BIO_puts(bp,"\n");
 339                         }
 340                 BN_add(&c,&c,&b);
 341                 BN_sub(&c,&c,&a);
 342                 if(!BN_is_zero(&c))
 343                     {
 344                     fprintf(stderr,"Subtract test failed!\n");
 345                     return 0;
 346                     }
 347                 }
 348         BN_free(&a);
 349         BN_free(&b);
 350         BN_free(&c);
 351         return(1);
 352         }
 353
 354 int test_div(BIO *bp, BN_CTX *ctx)
 355         {
 356         BIGNUM a,b,c,d,e;
 357         int i;
 358         int j;
 359
 360         BN_init(&a);
 361         BN_init(&b);
 362         BN_init(&c);
 363         BN_init(&d);
 364         BN_init(&e);
 365
 366         for (i=0; i<num0+num1; i++)
 367                 {
 368                 if (i < num1)
 369                         {
 370                         BN_rand(&a,400,0,0);
 371                         BN_copy(&b,&a);
 372                         BN_lshift(&a,&a,i);
 373                         BN_add_word(&a,i);
 374                         }
 375                 else
 376                         BN_rand(&b,50+3*(i-num1),0,0);
 377                 a.neg=rand_neg();
 378                 b.neg=rand_neg();
 379                 if (bp == NULL)
 380                         for (j=0; j<100; j++)
 381                                 BN_div(&d,&c,&a,&b,ctx);
 382                 BN_div(&d,&c,&a,&b,ctx);
 383                 if (bp != NULL)
 384                         {
 385                         if (!results)
 386                                 {
 387                                 BN_print(bp,&a);
 388                                 BIO_puts(bp," / ");
 389                                 BN_print(bp,&b);
 390                                 BIO_puts(bp," - ");
 391                                 }
 392                         BN_print(bp,&d);
 393                         BIO_puts(bp,"\n");
 394
 395                         if (!results)
 396                                 {
 397                                 BN_print(bp,&a);
 398                                 BIO_puts(bp," % ");
 399                                 BN_print(bp,&b);
 400                                 BIO_puts(bp," - ");
 401                                 }
 402                         BN_print(bp,&c);
 403                         BIO_puts(bp,"\n");
 404                         }
 405                 BN_mul(&e,&d,&b,ctx);
 406                 BN_add(&d,&e,&c);
 407                 BN_sub(&d,&d,&a);
 408                 if(!BN_is_zero(&d))
 409                     {
 410                     fprintf(stderr,"Division test failed!\n");
 411                     return 0;
 412                     }
 413                 }
 414         BN_free(&a);
 415         BN_free(&b);
 416         BN_free(&c);
 417         BN_free(&d);
 418         BN_free(&e);
 419         return(1);
 420         }
 421
 422 int test_div_recp(BIO *bp, BN_CTX *ctx)
 423         {
 424         BIGNUM a,b,c,d,e;
 425         BN_RECP_CTX recp;
 426         int i;
 427         int j;
 428
 429         BN_RECP_CTX_init(&recp);
 430         BN_init(&a);
 431         BN_init(&b);
 432         BN_init(&c);
 433         BN_init(&d);
 434         BN_init(&e);
 435
 436         for (i=0; i<num0+num1; i++)
 437                 {
 438                 if (i < num1)
 439                         {
 440                         BN_rand(&a,400,0,0);
 441                         BN_copy(&b,&a);
 442                         BN_lshift(&a,&a,i);
 443                         BN_add_word(&a,i);
 444                         }
 445                 else
 446                         BN_rand(&b,50+3*(i-num1),0,0);
 447                 a.neg=rand_neg();
 448                 b.neg=rand_neg();
 449                 BN_RECP_CTX_set(&recp,&b,ctx);
 450                 if (bp == NULL)
 451                         for (j=0; j<100; j++)
 452                                 BN_div_recp(&d,&c,&a,&recp,ctx);
 453                 BN_div_recp(&d,&c,&a,&recp,ctx);
 454                 if (bp != NULL)
 455                         {
 456                         if (!results)
 457                                 {
 458                                 BN_print(bp,&a);
 459                                 BIO_puts(bp," / ");
 460                                 BN_print(bp,&b);
 461                                 BIO_puts(bp," - ");
 462                                 }
 463                         BN_print(bp,&d);
 464                         BIO_puts(bp,"\n");
 465
 466                         if (!results)
 467                                 {
 468                                 BN_print(bp,&a);
 469                                 BIO_puts(bp," % ");
 470                                 BN_print(bp,&b);
 471                                 BIO_puts(bp," - ");
 472                                 }
 473                         BN_print(bp,&c);
 474                         BIO_puts(bp,"\n");
 475                         }
 476                 BN_mul(&e,&d,&b,ctx);
 477                 BN_add(&d,&e,&c);
 478                 BN_sub(&d,&d,&a);
 479                 if(!BN_is_zero(&d))
 480                     {
 481                     fprintf(stderr,"Reciprocal division test failed!\n");
 482                     fprintf(stderr,"a=");
 483                     BN_print_fp(stderr,&a);
 484                     fprintf(stderr,"\nb=");
 485                     BN_print_fp(stderr,&b);
 486                     fprintf(stderr,"\n");
 487                     return 0;
 488                     }
 489                 }
 490         BN_free(&a);
 491         BN_free(&b);
 492         BN_free(&c);
 493         BN_free(&d);
 494         BN_free(&e);
 495         BN_RECP_CTX_free(&recp);
 496         return(1);
 497         }
 498
 499 int test_mul(BIO *bp)
 500         {
 501         BIGNUM a,b,c,d,e;
 502         int i;
 503         int j;
 504         BN_CTX ctx;
 505
 506         BN_CTX_init(&ctx);
 507         BN_init(&a);
 508         BN_init(&b);
 509         BN_init(&c);
 510         BN_init(&d);
 511         BN_init(&e);
 512
 513         for (i=0; i<num0+num1; i++)
 514                 {
 515                 if (i <= num1)
 516                         {
 517                         BN_rand(&a,100,0,0);
 518                         BN_rand(&b,100,0,0);
 519                         }
 520                 else
 521                         BN_rand(&b,i-num1,0,0);
 522                 a.neg=rand_neg();
 523                 b.neg=rand_neg();
 524                 if (bp == NULL)
 525                         for (j=0; j<100; j++)
 526                                 BN_mul(&c,&a,&b,&ctx);
 527                 BN_mul(&c,&a,&b,&ctx);
 528                 if (bp != NULL)
 529                         {
 530                         if (!results)
 531                                 {
 532                                 BN_print(bp,&a);
 533                                 BIO_puts(bp," * ");
 534                                 BN_print(bp,&b);
 535                                 BIO_puts(bp," - ");
 536                                 }
 537                         BN_print(bp,&c);
 538                         BIO_puts(bp,"\n");
 539                         }
 540                 BN_div(&d,&e,&c,&a,&ctx);
 541                 BN_sub(&d,&d,&b);
 542                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 543                     {
 544                     fprintf(stderr,"Multiplication test failed!\n");
 545                     return 0;
 546                     }
 547                 }
 548         BN_free(&a);
 549         BN_free(&b);
 550         BN_free(&c);
 551         BN_free(&d);
 552         BN_free(&e);
 553         BN_CTX_free(&ctx);
 554         return(1);
 555         }
 556
 557 int test_sqr(BIO *bp, BN_CTX *ctx)
 558         {
 559         BIGNUM a,c,d,e;
 560         int i;
 561         int j;
 562
 563         BN_init(&a);
 564         BN_init(&c);
 565         BN_init(&d);
 566         BN_init(&e);
 567
 568         for (i=0; i<num0; i++)
 569                 {
 570                 BN_rand(&a,40+i*10,0,0);
 571                 a.neg=rand_neg();
 572                 if (bp == NULL)
 573                         for (j=0; j<100; j++)
 574                                 BN_sqr(&c,&a,ctx);
 575                 BN_sqr(&c,&a,ctx);
 576                 if (bp != NULL)
 577                         {
 578                         if (!results)
 579                                 {
 580                                 BN_print(bp,&a);
 581                                 BIO_puts(bp," * ");
 582                                 BN_print(bp,&a);
 583                                 BIO_puts(bp," - ");
 584                                 }
 585                         BN_print(bp,&c);
 586                         BIO_puts(bp,"\n");
 587                         }
 588                 BN_div(&d,&e,&c,&a,ctx);
 589                 BN_sub(&d,&d,&a);
 590                 if(!BN_is_zero(&d) || !BN_is_zero(&e))
 591                     {
 592                     fprintf(stderr,"Square test failed!\n");
 593                     return 0;
 594                     }
 595                 }
 596         BN_free(&a);
 597         BN_free(&c);
 598         BN_free(&d);
 599         BN_free(&e);
 600         return(1);
 601         }
 602
 603 int test_mont(BIO *bp, BN_CTX *ctx)
 604         {
 605         BIGNUM a,b,c,d,A,B;
 606         BIGNUM n;
 607         int i;
 608         int j;
 609         BN_MONT_CTX *mont;
 610
 611         BN_init(&a);
 612         BN_init(&b);
 613         BN_init(&c);
 614         BN_init(&d);
 615         BN_init(&A);
 616         BN_init(&B);
 617         BN_init(&n);
 618
 619         mont=BN_MONT_CTX_new();
 620
 621         BN_rand(&a,100,0,0); /**/
 622         BN_rand(&b,100,0,0); /**/
 623         for (i=0; i<num2; i++)
 624                 {
 625                 int bits = (200*(i+1))/num2;
 626
 627                 if (bits == 0)
 628                         continue;
 629                 BN_rand(&n,bits,0,1);
 630                 BN_MONT_CTX_set(mont,&n,ctx);
 631
 632                 BN_nnmod(&a,&a,&n,ctx);
 633                 BN_nnmod(&b,&b,&n,ctx);
 634
 635                 BN_to_montgomery(&A,&a,mont,ctx);
 636                 BN_to_montgomery(&B,&b,mont,ctx);
 637
 638                 if (bp == NULL)
 639                         for (j=0; j<100; j++)
 640                                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 641                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 642                 BN_from_montgomery(&A,&c,mont,ctx);/**/
 643                 if (bp != NULL)
 644                         {
 645                         if (!results)
 646                                 {
 647 #ifdef undef
 648 fprintf(stderr,"%d * %d %% %d\n",
 649 BN_num_bits(&a),
 650 BN_num_bits(&b),
 651 BN_num_bits(mont->N));
 652 #endif
 653                                 BN_print(bp,&a);
 654                                 BIO_puts(bp," * ");
 655                                 BN_print(bp,&b);
 656                                 BIO_puts(bp," % ");
 657                                 BN_print(bp,&(mont->N));
 658                                 BIO_puts(bp," - ");
 659                                 }
 660                         BN_print(bp,&A);
 661                         BIO_puts(bp,"\n");
 662                         }
 663                 BN_mod_mul(&d,&a,&b,&n,ctx);
 664                 BN_sub(&d,&d,&A);
 665                 if(!BN_is_zero(&d))
 666                     {
 667                     fprintf(stderr,"Montgomery multiplication test failed!\n");
 668                     return 0;
 669                     }
 670                 }
 671         BN_MONT_CTX_free(mont);
 672         BN_free(&a);
 673         BN_free(&b);
 674         BN_free(&c);
 675         BN_free(&d);
 676         BN_free(&A);
 677         BN_free(&B);
 678         BN_free(&n);
 679         return(1);
 680         }
 681
 682 int test_mod(BIO *bp, BN_CTX *ctx)
 683         {
 684         BIGNUM *a,*b,*c,*d,*e;
 685         int i;
 686         int j;
 687
 688         a=BN_new();
 689         b=BN_new();
 690         c=BN_new();
 691         d=BN_new();
 692         e=BN_new();
 693
 694         BN_rand(a,1024,0,0); /**/
 695         for (i=0; i<num0; i++)
 696                 {
 697                 BN_rand(b,450+i*10,0,0); /**/
 698                 a->neg=rand_neg();
 699                 b->neg=rand_neg();
 700                 if (bp == NULL)
 701                         for (j=0; j<100; j++)
 702                                 BN_mod(c,a,b,ctx);/**/
 703                 BN_mod(c,a,b,ctx);/**/
 704                 if (bp != NULL)
 705                         {
 706                         if (!results)
 707                                 {
 708                                 BN_print(bp,a);
 709                                 BIO_puts(bp," % ");
 710                                 BN_print(bp,b);
 711                                 BIO_puts(bp," - ");
 712                                 }
 713                         BN_print(bp,c);
 714                         BIO_puts(bp,"\n");
 715                         }
 716                 BN_div(d,e,a,b,ctx);
 717                 BN_sub(e,e,c);
 718                 if(!BN_is_zero(e))
 719                     {
 720                     fprintf(stderr,"Modulo test failed!\n");
 721                     return 0;
 722                     }
 723                 }
 724         BN_free(a);
 725         BN_free(b);
 726         BN_free(c);
 727         BN_free(d);
 728         BN_free(e);
 729         return(1);
 730         }
 731
 732 int test_mod_mul(BIO *bp, BN_CTX *ctx)
 733         {
 734         BIGNUM *a,*b,*c,*d,*e;
 735         int i;
 736
 737         a=BN_new();
 738         b=BN_new();
 739         c=BN_new();
 740         d=BN_new();
 741         e=BN_new();
 742
 743         BN_rand(c,1024,0,0); /**/
 744         for (i=0; i<num0; i++)
 745                 {
 746                 BN_rand(a,475+i*10,0,0); /**/
 747                 BN_rand(b,425+i*11,0,0); /**/
 748                 a->neg=rand_neg();
 749                 b->neg=rand_neg();
 750         /*      if (bp == NULL)
 751                         for (j=0; j<100; j++)
 752                                 BN_mod_mul(d,a,b,c,ctx);*/ /**/
 753
 754                 if (!BN_mod_mul(e,a,b,c,ctx))
 755                         {
 756                         unsigned long l;
 757
 758                         while ((l=ERR_get_error()))
 759                                 fprintf(stderr,"ERROR:%s\n",
 760                                         ERR_error_string(l,NULL));
 761                         exit(1);
 762                         }
 763                 if (bp != NULL)
 764                         {
 765                         if (!results)
 766                                 {
 767                                 BN_print(bp,a);
 768                                 BIO_puts(bp," * ");
 769                                 BN_print(bp,b);
 770                                 BIO_puts(bp," % ");
 771                                 BN_print(bp,c);
 772                                 if ((a->neg ^ b->neg) && !BN_is_zero(e))
 773                                         {
 774                                         /* If  (a*b) % c  is negative,  c  must be added
 775                                          * in order to obtain the normalized remainder
 776                                          * (new with OpenSSL 0.9.7, previous versions of
 777                                          * BN_mod_mul could generate negative results)
 778                                          */
 779                                         BIO_puts(bp," + ");
 780                                         BN_print(bp,c);
 781                                         }
 782                                 BIO_puts(bp," - ");
 783                                 }
 784                         BN_print(bp,e);
 785                         BIO_puts(bp,"\n");
 786                         }
 787                 BN_mul(d,a,b,ctx);
 788                 BN_sub(d,d,e);
 789                 BN_div(a,b,d,c,ctx);
 790                 if(!BN_is_zero(b))
 791                     {
 792                     fprintf(stderr,"Modulo multiply test failed!\n");
 793                     ERR_print_errors_fp(stderr);
 794                     return 0;
 795                     }
 796                 }
 797         BN_free(a);
 798         BN_free(b);
 799         BN_free(c);
 800         BN_free(d);
 801         BN_free(e);
 802         return(1);
 803         }
 804
 805 int test_mod_exp(BIO *bp, BN_CTX *ctx)
 806         {
 807         BIGNUM *a,*b,*c,*d,*e;
 808         int i;
 809
 810         a=BN_new();
 811         b=BN_new();
 812         c=BN_new();
 813         d=BN_new();
 814         e=BN_new();
 815
 816         BN_rand(c,30,0,1); /* must be odd for montgomery */
 817         for (i=0; i<num2; i++)
 818                 {
 819                 BN_rand(a,20+i*5,0,0); /**/
 820                 BN_rand(b,2+i,0,0); /**/
 821
 822                 if (!BN_mod_exp(d,a,b,c,ctx))
 823                         return(00);
 824
 825                 if (bp != NULL)
 826                         {
 827                         if (!results)
 828                                 {
 829                                 BN_print(bp,a);
 830                                 BIO_puts(bp," ^ ");
 831                                 BN_print(bp,b);
 832                                 BIO_puts(bp," % ");
 833                                 BN_print(bp,c);
 834                                 BIO_puts(bp," - ");
 835                                 }
 836                         BN_print(bp,d);
 837                         BIO_puts(bp,"\n");
 838                         }
 839                 BN_exp(e,a,b,ctx);
 840                 BN_sub(e,e,d);
 841                 BN_div(a,b,e,c,ctx);
 842                 if(!BN_is_zero(b))
 843                     {
 844                     fprintf(stderr,"Modulo exponentiation test failed!\n");
 845                     return 0;
 846                     }
 847                 }
 848         BN_free(a);
 849         BN_free(b);
 850         BN_free(c);
 851         BN_free(d);
 852         BN_free(e);
 853         return(1);
 854         }
 855
 856 int test_exp(BIO *bp, BN_CTX *ctx)
 857         {
 858         BIGNUM *a,*b,*d,*e,*one;
 859         int i;
 860
 861         a=BN_new();
 862         b=BN_new();
 863         d=BN_new();
 864         e=BN_new();
 865         one=BN_new();
 866         BN_one(one);
 867
 868         for (i=0; i<num2; i++)
 869                 {
 870                 BN_rand(a,20+i*5,0,0); /**/
 871                 BN_rand(b,2+i,0,0); /**/
 872
 873                 if (!BN_exp(d,a,b,ctx))
 874                         return(00);
 875
 876                 if (bp != NULL)
 877                         {
 878                         if (!results)
 879                                 {
 880                                 BN_print(bp,a);
 881                                 BIO_puts(bp," ^ ");
 882                                 BN_print(bp,b);
 883                                 BIO_puts(bp," - ");
 884                                 }
 885                         BN_print(bp,d);
 886                         BIO_puts(bp,"\n");
 887                         }
 888                 BN_one(e);
 889                 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
 890                     BN_mul(e,e,a,ctx);
 891                 BN_sub(e,e,d);
 892                 if(!BN_is_zero(e))
 893                     {
 894                     fprintf(stderr,"Exponentiation test failed!\n");
 895                     return 0;
 896                     }
 897                 }
 898         BN_free(a);
 899         BN_free(b);
 900         BN_free(d);
 901         BN_free(e);
 902         BN_free(one);
 903         return(1);
 904         }
 905
 906 static void genprime_cb(int p, int n, void *arg)
 907         {
 908         char c='*';
 909
 910         if (p == 0) c='.';
 911         if (p == 1) c='+';
 912         if (p == 2) c='*';
 913         if (p == 3) c='\n';
 914         putc(c, stderr);
 915         fflush(stderr);
 916         (void)n;
 917         (void)arg;
 918         }
 919
 920 int test_kron(BIO *bp, BN_CTX *ctx)
 921         {
 922         BIGNUM *a,*b,*r;
 923         int i;
 924         int legendre, kronecker;
 925         int ret = 0;
 926
 927         a = BN_new();
 928         b = BN_new();
 929         r = BN_new();
 930         if (a == NULL || b == NULL || r == NULL) goto err;
 931
 932         /* We test BN_kronecker(a, b, ctx) just for  b  odd (Jacobi symbol).
 933          * In this case we know that if  b  is prime, then BN_kronecker(a, b, ctx)
 934          * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
 935          * So we generate a random prime  b  and compare these values
 936          * for a number of random  a's.  (That is, we run the Solovay-Strassen
 937          * primality test to confirm that  b  is prime, except that we
 938          * don't want to test whether  b  is prime but whether BN_kronecker
 939          * works.) */
 940
 941         if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
 942         putc('\n', stderr);
 943         if (1 != BN_is_prime(b, 10, NULL, ctx, NULL))
 944                 {
 945                 fprintf(stderr, "BN_is_prime failed\n");
 946                 goto err;
 947                 }
 948
 949         for (i = 0; i < num0; i++)
 950                 {
 951                 if (!BN_rand(a, 512, 0, 0)) goto err;
 952                 if (!BN_nnmod(a, a, b, ctx)) goto err;
 953
 954                 /* r := (b-1)/2  (note that b is odd) */
 955                 if (!BN_copy(r, b)) goto err;
 956                 if (!BN_sub_word(r, 1)) goto err;
 957                 if (!BN_rshift1(r, r)) goto err;
 958                 /* r := a^r mod b */
 959                 if (!BN_mod_exp(r, a, r, b, ctx)) goto err;
 960
 961                 if (BN_is_word(r, 1))
 962                         legendre = 1;
 963                 else
 964                         {
 965                         if (!BN_add_word(r, 1)) goto err;
 966                         if (0 != BN_cmp(r, b))
 967                                 {
 968                                 fprintf(stderr, "Legendre symbol computation failed\n");
 969                                 goto err;
 970                                 }
 971                         legendre = -1;
 972                         }
 973
 974                 kronecker = BN_kronecker(a, b, ctx);
 975                 if (kronecker < -1) goto err;
 976
 977                 if (legendre != kronecker)
 978                         {
 979                         fprintf(stderr, "legendre != kronecker; a = ");
 980                         BN_print_fp(stderr, a);
 981                         fprintf(stderr, ", a = ");
 982                         BN_print_fp(stderr, b);
 983                         fprintf(stderr, "\n");
 984                         goto err;
 985                         }
 986
 987                 putc('.', stderr);
 988                 fflush(stderr);
 989                 }
 990
 991         putc('\n', stderr);
 992         fflush(stderr);
 993         ret = 1;
 994  err:
 995         if (a != NULL) BN_free(a);
 996         if (b != NULL) BN_free(b);
 997         if (r != NULL) BN_free(r);
 998         return ret;
 999         }
1000
1001 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1002         {
1003         BIGNUM *a,*b,*c,*d;
1004         int i;
1005
1006         b=BN_new();
1007         c=BN_new();
1008         d=BN_new();
1009         BN_one(c);
1010
1011         if(a_)
1012             a=a_;
1013         else
1014             {
1015             a=BN_new();
1016             BN_rand(a,200,0,0); /**/
1017             a->neg=rand_neg();
1018             }
1019         for (i=0; i<num0; i++)
1020                 {
1021                 BN_lshift(b,a,i+1);
1022                 BN_add(c,c,c);
1023                 if (bp != NULL)
1024                         {
1025                         if (!results)
1026                                 {
1027                                 BN_print(bp,a);
1028                                 BIO_puts(bp," * ");
1029                                 BN_print(bp,c);
1030                                 BIO_puts(bp," - ");
1031                                 }
1032                         BN_print(bp,b);
1033                         BIO_puts(bp,"\n");
1034                         }
1035                 BN_mul(d,a,c,ctx);
1036                 BN_sub(d,d,b);
1037                 if(!BN_is_zero(d))
1038                     {
1039                     fprintf(stderr,"Left shift test failed!\n");
1040                     fprintf(stderr,"a=");
1041                     BN_print_fp(stderr,a);
1042                     fprintf(stderr,"\nb=");
1043                     BN_print_fp(stderr,b);
1044                     fprintf(stderr,"\nc=");
1045                     BN_print_fp(stderr,c);
1046                     fprintf(stderr,"\nd=");
1047                     BN_print_fp(stderr,d);
1048                     fprintf(stderr,"\n");
1049                     return 0;
1050                     }
1051                 }
1052         BN_free(a);
1053         BN_free(b);
1054         BN_free(c);
1055         BN_free(d);
1056         return(1);
1057         }
1058
1059 int test_lshift1(BIO *bp)
1060         {
1061         BIGNUM *a,*b,*c;
1062         int i;
1063
1064         a=BN_new();
1065         b=BN_new();
1066         c=BN_new();
1067
1068         BN_rand(a,200,0,0); /**/
1069         a->neg=rand_neg();
1070         for (i=0; i<num0; i++)
1071                 {
1072                 BN_lshift1(b,a);
1073                 if (bp != NULL)
1074                         {
1075                         if (!results)
1076                                 {
1077                                 BN_print(bp,a);
1078                                 BIO_puts(bp," * 2");
1079                                 BIO_puts(bp," - ");
1080                                 }
1081                         BN_print(bp,b);
1082                         BIO_puts(bp,"\n");
1083                         }
1084                 BN_add(c,a,a);
1085                 BN_sub(a,b,c);
1086                 if(!BN_is_zero(a))
1087                     {
1088                     fprintf(stderr,"Left shift one test failed!\n");
1089                     return 0;
1090                     }
1091
1092                 BN_copy(a,b);
1093                 }
1094         BN_free(a);
1095         BN_free(b);
1096         BN_free(c);
1097         return(1);
1098         }
1099
1100 int test_rshift(BIO *bp,BN_CTX *ctx)
1101         {
1102         BIGNUM *a,*b,*c,*d,*e;
1103         int i;
1104
1105         a=BN_new();
1106         b=BN_new();
1107         c=BN_new();
1108         d=BN_new();
1109         e=BN_new();
1110         BN_one(c);
1111
1112         BN_rand(a,200,0,0); /**/
1113         a->neg=rand_neg();
1114         for (i=0; i<num0; i++)
1115                 {
1116                 BN_rshift(b,a,i+1);
1117                 BN_add(c,c,c);
1118                 if (bp != NULL)
1119                         {
1120                         if (!results)
1121                                 {
1122                                 BN_print(bp,a);
1123                                 BIO_puts(bp," / ");
1124                                 BN_print(bp,c);
1125                                 BIO_puts(bp," - ");
1126                                 }
1127                         BN_print(bp,b);
1128                         BIO_puts(bp,"\n");
1129                         }
1130                 BN_div(d,e,a,c,ctx);
1131                 BN_sub(d,d,b);
1132                 if(!BN_is_zero(d))
1133                     {
1134                     fprintf(stderr,"Right shift test failed!\n");
1135                     return 0;
1136                     }
1137                 }
1138         BN_free(a);
1139         BN_free(b);
1140         BN_free(c);
1141         BN_free(d);
1142         BN_free(e);
1143         return(1);
1144         }
1145
1146 int test_rshift1(BIO *bp)
1147         {
1148         BIGNUM *a,*b,*c;
1149         int i;
1150
1151         a=BN_new();
1152         b=BN_new();
1153         c=BN_new();
1154
1155         BN_rand(a,200,0,0); /**/
1156         a->neg=rand_neg();
1157         for (i=0; i<num0; i++)
1158                 {
1159                 BN_rshift1(b,a);
1160                 if (bp != NULL)
1161                         {
1162                         if (!results)
1163                                 {
1164                                 BN_print(bp,a);
1165                                 BIO_puts(bp," / 2");
1166                                 BIO_puts(bp," - ");
1167                                 }
1168                         BN_print(bp,b);
1169                         BIO_puts(bp,"\n");
1170                         }
1171                 BN_sub(c,a,b);
1172                 BN_sub(c,c,b);
1173                 if(!BN_is_zero(c) && !BN_is_one(c))
1174                     {
1175                     fprintf(stderr,"Right shift one test failed!\n");
1176                     return 0;
1177                     }
1178                 BN_copy(a,b);
1179                 }
1180         BN_free(a);
1181         BN_free(b);
1182         BN_free(c);
1183         return(1);
1184         }
1185
1186 int rand_neg(void)
1187         {
1188         static unsigned int neg=0;
1189         static int sign[8]={0,0,0,1,1,0,1,1};
1190
1191         return(sign[(neg++)%8]);
1192         }