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_to_montgomery(&A,&a,mont,ctx);
 633                 BN_to_montgomery(&B,&b,mont,ctx);
 634
 635                 if (bp == NULL)
 636                         for (j=0; j<100; j++)
 637                                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 638                 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
 639                 BN_from_montgomery(&A,&c,mont,ctx);/**/
 640                 if (bp != NULL)
 641                         {
 642                         if (!results)
 643                                 {
 644 #ifdef undef
 645 fprintf(stderr,"%d * %d %% %d\n",
 646 BN_num_bits(&a),
 647 BN_num_bits(&b),
 648 BN_num_bits(mont->N));
 649 #endif
 650                                 BN_print(bp,&a);
 651                                 BIO_puts(bp," * ");
 652                                 BN_print(bp,&b);
 653                                 BIO_puts(bp," % ");
 654                                 BN_print(bp,&(mont->N));
 655                                 BIO_puts(bp," - ");
 656                                 }
 657                         BN_print(bp,&A);
 658                         BIO_puts(bp,"\n");
 659                         }
 660                 BN_mod_mul(&d,&a,&b,&n,ctx);
 661                 BN_sub(&d,&d,&A);
 662                 if(!BN_is_zero(&d))
 663                     {
 664                     fprintf(stderr,"Montgomery multiplication test failed!\n");
 665                     return 0;
 666                     }
 667                 }
 668         BN_MONT_CTX_free(mont);
 669         BN_free(&a);
 670         BN_free(&b);
 671         BN_free(&c);
 672         BN_free(&d);
 673         BN_free(&A);
 674         BN_free(&B);
 675         BN_free(&n);
 676         return(1);
 677         }
 678
 679 int test_mod(BIO *bp, BN_CTX *ctx)
 680         {
 681         BIGNUM *a,*b,*c,*d,*e;
 682         int i;
 683         int j;
 684
 685         a=BN_new();
 686         b=BN_new();
 687         c=BN_new();
 688         d=BN_new();
 689         e=BN_new();
 690
 691         BN_rand(a,1024,0,0); /**/
 692         for (i=0; i<num0; i++)
 693                 {
 694                 BN_rand(b,450+i*10,0,0); /**/
 695                 a->neg=rand_neg();
 696                 b->neg=rand_neg();
 697                 if (bp == NULL)
 698                         for (j=0; j<100; j++)
 699                                 BN_mod(c,a,b,ctx);/**/
 700                 BN_mod(c,a,b,ctx);/**/
 701                 if (bp != NULL)
 702                         {
 703                         if (!results)
 704                                 {
 705                                 BN_print(bp,a);
 706                                 BIO_puts(bp," % ");
 707                                 BN_print(bp,b);
 708                                 BIO_puts(bp," - ");
 709                                 }
 710                         BN_print(bp,c);
 711                         BIO_puts(bp,"\n");
 712                         }
 713                 BN_div(d,e,a,b,ctx);
 714                 BN_sub(e,e,c);
 715                 if(!BN_is_zero(e))
 716                     {
 717                     fprintf(stderr,"Modulo test failed!\n");
 718                     return 0;
 719                     }
 720                 }
 721         BN_free(a);
 722         BN_free(b);
 723         BN_free(c);
 724         BN_free(d);
 725         BN_free(e);
 726         return(1);
 727         }
 728
 729 int test_mod_mul(BIO *bp, BN_CTX *ctx)
 730         {
 731         BIGNUM *a,*b,*c,*d,*e;
 732         int i;
 733
 734         a=BN_new();
 735         b=BN_new();
 736         c=BN_new();
 737         d=BN_new();
 738         e=BN_new();
 739
 740         BN_rand(c,1024,0,0); /**/
 741         for (i=0; i<num0; i++)
 742                 {
 743                 BN_rand(a,475+i*10,0,0); /**/
 744                 BN_rand(b,425+i*11,0,0); /**/
 745                 a->neg=rand_neg();
 746                 b->neg=rand_neg();
 747         /*      if (bp == NULL)
 748                         for (j=0; j<100; j++)
 749                                 BN_mod_mul(d,a,b,c,ctx);*/ /**/
 750
 751                 if (!BN_mod_mul(e,a,b,c,ctx))
 752                         {
 753                         unsigned long l;
 754
 755                         while ((l=ERR_get_error()))
 756                                 fprintf(stderr,"ERROR:%s\n",
 757                                         ERR_error_string(l,NULL));
 758                         exit(1);
 759                         }
 760                 if (bp != NULL)
 761                         {
 762                         if (!results)
 763                                 {
 764                                 BN_print(bp,a);
 765                                 BIO_puts(bp," * ");
 766                                 BN_print(bp,b);
 767                                 BIO_puts(bp," % ");
 768                                 BN_print(bp,c);
 769                                 if ((a->neg ^ b->neg) && !BN_is_zero(e))
 770                                         {
 771                                         /* If  (a*b) % c  is negative,  c  must be added
 772                                          * in order to obtain the normalized remainder
 773                                          * (new with OpenSSL 0.9.7, previous versions of
 774                                          * BN_mod_mul could generate negative results)
 775                                          */
 776                                         BIO_puts(bp," + ");
 777                                         BN_print(bp,c);
 778                                         }
 779                                 BIO_puts(bp," - ");
 780                                 }
 781                         BN_print(bp,e);
 782                         BIO_puts(bp,"\n");
 783                         }
 784                 BN_mul(d,a,b,ctx);
 785                 BN_sub(d,d,e);
 786                 BN_div(a,b,d,c,ctx);
 787                 if(!BN_is_zero(b))
 788                     {
 789                     fprintf(stderr,"Modulo multiply test failed!\n");
 790                     ERR_print_errors_fp(stderr);
 791                     return 0;
 792                     }
 793                 }
 794         BN_free(a);
 795         BN_free(b);
 796         BN_free(c);
 797         BN_free(d);
 798         BN_free(e);
 799         return(1);
 800         }
 801
 802 int test_mod_exp(BIO *bp, BN_CTX *ctx)
 803         {
 804         BIGNUM *a,*b,*c,*d,*e;
 805         int i;
 806
 807         a=BN_new();
 808         b=BN_new();
 809         c=BN_new();
 810         d=BN_new();
 811         e=BN_new();
 812
 813         BN_rand(c,30,0,1); /* must be odd for montgomery */
 814         for (i=0; i<num2; i++)
 815                 {
 816                 BN_rand(a,20+i*5,0,0); /**/
 817                 BN_rand(b,2+i,0,0); /**/
 818
 819                 if (!BN_mod_exp(d,a,b,c,ctx))
 820                         return(00);
 821
 822                 if (bp != NULL)
 823                         {
 824                         if (!results)
 825                                 {
 826                                 BN_print(bp,a);
 827                                 BIO_puts(bp," ^ ");
 828                                 BN_print(bp,b);
 829                                 BIO_puts(bp," % ");
 830                                 BN_print(bp,c);
 831                                 BIO_puts(bp," - ");
 832                                 }
 833                         BN_print(bp,d);
 834                         BIO_puts(bp,"\n");
 835                         }
 836                 BN_exp(e,a,b,ctx);
 837                 BN_sub(e,e,d);
 838                 BN_div(a,b,e,c,ctx);
 839                 if(!BN_is_zero(b))
 840                     {
 841                     fprintf(stderr,"Modulo exponentiation test failed!\n");
 842                     return 0;
 843                     }
 844                 }
 845         BN_free(a);
 846         BN_free(b);
 847         BN_free(c);
 848         BN_free(d);
 849         BN_free(e);
 850         return(1);
 851         }
 852
 853 int test_exp(BIO *bp, BN_CTX *ctx)
 854         {
 855         BIGNUM *a,*b,*d,*e,*one;
 856         int i;
 857
 858         a=BN_new();
 859         b=BN_new();
 860         d=BN_new();
 861         e=BN_new();
 862         one=BN_new();
 863         BN_one(one);
 864
 865         for (i=0; i<num2; i++)
 866                 {
 867                 BN_rand(a,20+i*5,0,0); /**/
 868                 BN_rand(b,2+i,0,0); /**/
 869
 870                 if (!BN_exp(d,a,b,ctx))
 871                         return(00);
 872
 873                 if (bp != NULL)
 874                         {
 875                         if (!results)
 876                                 {
 877                                 BN_print(bp,a);
 878                                 BIO_puts(bp," ^ ");
 879                                 BN_print(bp,b);
 880                                 BIO_puts(bp," - ");
 881                                 }
 882                         BN_print(bp,d);
 883                         BIO_puts(bp,"\n");
 884                         }
 885                 BN_one(e);
 886                 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
 887                     BN_mul(e,e,a,ctx);
 888                 BN_sub(e,e,d);
 889                 if(!BN_is_zero(e))
 890                     {
 891                     fprintf(stderr,"Exponentiation test failed!\n");
 892                     return 0;
 893                     }
 894                 }
 895         BN_free(a);
 896         BN_free(b);
 897         BN_free(d);
 898         BN_free(e);
 899         BN_free(one);
 900         return(1);
 901         }
 902
 903 static void genprime_cb(int p, int n, void *arg)
 904         {
 905         char c='*';
 906
 907         if (p == 0) c='.';
 908         if (p == 1) c='+';
 909         if (p == 2) c='*';
 910         if (p == 3) c='\n';
 911         putc(c, stderr);
 912         fflush(stderr);
 913         (void)n;
 914         (void)arg;
 915         }
 916
 917 int test_kron(BIO *bp, BN_CTX *ctx)
 918         {
 919         BIGNUM *a,*b,*r;
 920         int i;
 921         int legendre, kronecker;
 922         int ret = 0;
 923
 924         a = BN_new();
 925         b = BN_new();
 926         r = BN_new();
 927         if (a == NULL || b == NULL || r == NULL) goto err;
 928
 929         /* We test BN_kronecker(a, b, ctx) just for  b  odd (Jacobi symbol).
 930          * In this case we know that if  b  is prime, then BN_kronecker(a, b, ctx)
 931          * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
 932          * So we generate a random prime  b  and compare these values
 933          * for a number of random  a's.  (That is, we run the Solovay-Strassen
 934          * primality test to confirm that  b  is prime, except that we
 935          * don't want to test whether  b  is prime but whether BN_kronecker
 936          * works.) */
 937
 938         if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
 939         putc('\n', stderr);
 940         if (1 != BN_is_prime(b, 10, NULL, ctx, NULL))
 941                 {
 942                 fprintf(stderr, "BN_is_prime failed\n");
 943                 goto err;
 944                 }
 945
 946         for (i = 0; i < num0; i++)
 947                 {
 948                 if (!BN_rand(a, 512, 0, 0)) goto err;
 949                 if (!BN_nnmod(a, a, b, ctx)) goto err;
 950
 951                 /* r := (b-1)/2  (note that b is odd) */
 952                 if (!BN_copy(r, b)) goto err;
 953                 if (!BN_sub_word(r, 1)) goto err;
 954                 if (!BN_rshift1(r, r)) goto err;
 955                 /* r := a^r mod b */
 956                 if (!BN_mod_exp(r, a, r, b, ctx)) goto err;
 957
 958                 if (BN_is_word(r, 1))
 959                         legendre = 1;
 960                 else
 961                         {
 962                         if (!BN_add_word(r, 1)) goto err;
 963                         if (0 != BN_cmp(r, b))
 964                                 {
 965                                 fprintf(stderr, "Legendre symbol computation failed\n");
 966                                 goto err;
 967                                 }
 968                         legendre = -1;
 969                         }
 970
 971                 kronecker = BN_kronecker(a, b, ctx);
 972                 if (kronecker < -1) goto err;
 973
 974                 if (legendre != kronecker)
 975                         {
 976                         fprintf(stderr, "legendre != kronecker; a = ");
 977                         BN_print_fp(stderr, a);
 978                         fprintf(stderr, ", a = ");
 979                         BN_print_fp(stderr, b);
 980                         fprintf(stderr, "\n");
 981                         goto err;
 982                         }
 983
 984                 fprintf(stderr, "ok\n");
 985                 }
 986
 987         ret = 1;
 988  err:
 989         if (a != NULL) BN_free(a);
 990         if (b != NULL) BN_free(b);
 991         if (r != NULL) BN_free(r);
 992         return ret;
 993         }
 994
 995 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
 996         {
 997         BIGNUM *a,*b,*c,*d;
 998         int i;
 999
1000         b=BN_new();
1001         c=BN_new();
1002         d=BN_new();
1003         BN_one(c);
1004
1005         if(a_)
1006             a=a_;
1007         else
1008             {
1009             a=BN_new();
1010             BN_rand(a,200,0,0); /**/
1011             a->neg=rand_neg();
1012             }
1013         for (i=0; i<num0; i++)
1014                 {
1015                 BN_lshift(b,a,i+1);
1016                 BN_add(c,c,c);
1017                 if (bp != NULL)
1018                         {
1019                         if (!results)
1020                                 {
1021                                 BN_print(bp,a);
1022                                 BIO_puts(bp," * ");
1023                                 BN_print(bp,c);
1024                                 BIO_puts(bp," - ");
1025                                 }
1026                         BN_print(bp,b);
1027                         BIO_puts(bp,"\n");
1028                         }
1029                 BN_mul(d,a,c,ctx);
1030                 BN_sub(d,d,b);
1031                 if(!BN_is_zero(d))
1032                     {
1033                     fprintf(stderr,"Left shift test failed!\n");
1034                     fprintf(stderr,"a=");
1035                     BN_print_fp(stderr,a);
1036                     fprintf(stderr,"\nb=");
1037                     BN_print_fp(stderr,b);
1038                     fprintf(stderr,"\nc=");
1039                     BN_print_fp(stderr,c);
1040                     fprintf(stderr,"\nd=");
1041                     BN_print_fp(stderr,d);
1042                     fprintf(stderr,"\n");
1043                     return 0;
1044                     }
1045                 }
1046         BN_free(a);
1047         BN_free(b);
1048         BN_free(c);
1049         BN_free(d);
1050         return(1);
1051         }
1052
1053 int test_lshift1(BIO *bp)
1054         {
1055         BIGNUM *a,*b,*c;
1056         int i;
1057
1058         a=BN_new();
1059         b=BN_new();
1060         c=BN_new();
1061
1062         BN_rand(a,200,0,0); /**/
1063         a->neg=rand_neg();
1064         for (i=0; i<num0; i++)
1065                 {
1066                 BN_lshift1(b,a);
1067                 if (bp != NULL)
1068                         {
1069                         if (!results)
1070                                 {
1071                                 BN_print(bp,a);
1072                                 BIO_puts(bp," * 2");
1073                                 BIO_puts(bp," - ");
1074                                 }
1075                         BN_print(bp,b);
1076                         BIO_puts(bp,"\n");
1077                         }
1078                 BN_add(c,a,a);
1079                 BN_sub(a,b,c);
1080                 if(!BN_is_zero(a))
1081                     {
1082                     fprintf(stderr,"Left shift one test failed!\n");
1083                     return 0;
1084                     }
1085
1086                 BN_copy(a,b);
1087                 }
1088         BN_free(a);
1089         BN_free(b);
1090         BN_free(c);
1091         return(1);
1092         }
1093
1094 int test_rshift(BIO *bp,BN_CTX *ctx)
1095         {
1096         BIGNUM *a,*b,*c,*d,*e;
1097         int i;
1098
1099         a=BN_new();
1100         b=BN_new();
1101         c=BN_new();
1102         d=BN_new();
1103         e=BN_new();
1104         BN_one(c);
1105
1106         BN_rand(a,200,0,0); /**/
1107         a->neg=rand_neg();
1108         for (i=0; i<num0; i++)
1109                 {
1110                 BN_rshift(b,a,i+1);
1111                 BN_add(c,c,c);
1112                 if (bp != NULL)
1113                         {
1114                         if (!results)
1115                                 {
1116                                 BN_print(bp,a);
1117                                 BIO_puts(bp," / ");
1118                                 BN_print(bp,c);
1119                                 BIO_puts(bp," - ");
1120                                 }
1121                         BN_print(bp,b);
1122                         BIO_puts(bp,"\n");
1123                         }
1124                 BN_div(d,e,a,c,ctx);
1125                 BN_sub(d,d,b);
1126                 if(!BN_is_zero(d))
1127                     {
1128                     fprintf(stderr,"Right shift test failed!\n");
1129                     return 0;
1130                     }
1131                 }
1132         BN_free(a);
1133         BN_free(b);
1134         BN_free(c);
1135         BN_free(d);
1136         BN_free(e);
1137         return(1);
1138         }
1139
1140 int test_rshift1(BIO *bp)
1141         {
1142         BIGNUM *a,*b,*c;
1143         int i;
1144
1145         a=BN_new();
1146         b=BN_new();
1147         c=BN_new();
1148
1149         BN_rand(a,200,0,0); /**/
1150         a->neg=rand_neg();
1151         for (i=0; i<num0; i++)
1152                 {
1153                 BN_rshift1(b,a);
1154                 if (bp != NULL)
1155                         {
1156                         if (!results)
1157                                 {
1158                                 BN_print(bp,a);
1159                                 BIO_puts(bp," / 2");
1160                                 BIO_puts(bp," - ");
1161                                 }
1162                         BN_print(bp,b);
1163                         BIO_puts(bp,"\n");
1164                         }
1165                 BN_sub(c,a,b);
1166                 BN_sub(c,c,b);
1167                 if(!BN_is_zero(c) && !BN_is_one(c))
1168                     {
1169                     fprintf(stderr,"Right shift one test failed!\n");
1170                     return 0;
1171                     }
1172                 BN_copy(a,b);
1173                 }
1174         BN_free(a);
1175         BN_free(b);
1176         BN_free(c);
1177         return(1);
1178         }
1179
1180 int rand_neg(void)
1181         {
1182         static unsigned int neg=0;
1183         static int sign[8]={0,0,0,1,1,0,1,1};
1184
1185         return(sign[(neg++)%8]);
1186         }