1 /* crypto/bn/bntest.c */
2 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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.
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).
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.
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
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)"
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
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.]
63 #include "openssl/e_os.h"
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>
72 #include "../bio/bss_file.c"
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 */
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);
101 #include "bss_file.c"
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";
107 static const char rnd_seed[] = "string to make the random number generator think it has entropy";
109 static void message(BIO *out, char *m)
111 fprintf(stderr, "test %s\n", m);
112 BIO_puts(out, "print \"test ");
114 BIO_puts(out, "\\n\"\n");
117 int main(int argc, char *argv[])
125 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
131 if (strcmp(*argv,"-results") == 0)
133 else if (strcmp(*argv,"-out") == 0)
135 if (--argc < 1) break;
144 if (ctx == NULL) exit(1);
146 out=BIO_new(BIO_s_file());
147 if (out == NULL) exit(1);
150 BIO_set_fp(out,stdout,BIO_NOCLOSE);
154 if (!BIO_write_filename(out,outfile))
162 BIO_puts(out,"obase=16\nibase=16\n");
164 message(out,"BN_add");
165 if (!test_add(out)) goto err;
168 message(out,"BN_sub");
169 if (!test_sub(out)) goto err;
172 message(out,"BN_lshift1");
173 if (!test_lshift1(out)) goto err;
176 message(out,"BN_lshift (fixed)");
177 if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
181 message(out,"BN_lshift");
182 if (!test_lshift(out,ctx,NULL)) goto err;
185 message(out,"BN_rshift1");
186 if (!test_rshift1(out)) goto err;
189 message(out,"BN_rshift");
190 if (!test_rshift(out,ctx)) goto err;
193 message(out,"BN_sqr");
194 if (!test_sqr(out,ctx)) goto err;
197 message(out,"BN_mul");
198 if (!test_mul(out)) goto err;
201 message(out,"BN_div");
202 if (!test_div(out,ctx)) goto err;
205 message(out,"BN_div_recp");
206 if (!test_div_recp(out,ctx)) goto err;
209 message(out,"BN_mod");
210 if (!test_mod(out,ctx)) goto err;
213 message(out,"BN_mod_mul");
214 if (!test_mod_mul(out,ctx)) goto err;
217 message(out,"BN_mont");
218 if (!test_mont(out,ctx)) goto err;
221 message(out,"BN_mod_exp");
222 if (!test_mod_exp(out,ctx)) goto err;
225 message(out,"BN_exp");
226 if (!test_exp(out,ctx)) goto err;
229 message(out,"BN_kronecker");
230 if (!test_kron(out,ctx)) goto err;
233 message(out,"BN_mod_sqrt");
234 if (!test_sqrt(out,ctx)) goto 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*/
246 ERR_load_crypto_strings();
247 ERR_print_errors_fp(stderr);
252 int test_add(BIO *bp)
261 BN_bntest_rand(&a,512,0,0);
262 for (i=0; i<num0; i++)
264 BN_bntest_rand(&b,450+i,0,0);
286 fprintf(stderr,"Add test failed!\n");
296 int test_sub(BIO *bp)
305 for (i=0; i<num0+num1; i++)
309 BN_bntest_rand(&a,512,0,0);
311 if (BN_set_bit(&a,i)==0) return(0);
316 BN_bntest_rand(&b,400+i-num1,0,0);
337 fprintf(stderr,"Subtract test failed!\n");
347 int test_div(BIO *bp, BN_CTX *ctx)
358 for (i=0; i<num0+num1; i++)
362 BN_bntest_rand(&a,400,0,0);
368 BN_bntest_rand(&b,50+3*(i-num1),0,0);
371 BN_div(&d,&c,&a,&b,ctx);
394 BN_mul(&e,&d,&b,ctx);
399 fprintf(stderr,"Division test failed!\n");
411 int test_div_recp(BIO *bp, BN_CTX *ctx)
417 BN_RECP_CTX_init(&recp);
424 for (i=0; i<num0+num1; i++)
428 BN_bntest_rand(&a,400,0,0);
434 BN_bntest_rand(&b,50+3*(i-num1),0,0);
437 BN_RECP_CTX_set(&recp,&b,ctx);
438 BN_div_recp(&d,&c,&a,&recp,ctx);
461 BN_mul(&e,&d,&b,ctx);
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");
480 BN_RECP_CTX_free(&recp);
484 int test_mul(BIO *bp)
497 for (i=0; i<num0+num1; i++)
501 BN_bntest_rand(&a,100,0,0);
502 BN_bntest_rand(&b,100,0,0);
505 BN_bntest_rand(&b,i-num1,0,0);
508 BN_mul(&c,&a,&b,&ctx);
521 BN_div(&d,&e,&c,&a,&ctx);
523 if(!BN_is_zero(&d) || !BN_is_zero(&e))
525 fprintf(stderr,"Multiplication test failed!\n");
538 int test_sqr(BIO *bp, BN_CTX *ctx)
548 for (i=0; i<num0; i++)
550 BN_bntest_rand(&a,40+i*10,0,0);
565 BN_div(&d,&e,&c,&a,ctx);
567 if(!BN_is_zero(&d) || !BN_is_zero(&e))
569 fprintf(stderr,"Square test failed!\n");
580 int test_mont(BIO *bp, BN_CTX *ctx)
595 mont=BN_MONT_CTX_new();
597 BN_bntest_rand(&a,100,0,0); /**/
598 BN_bntest_rand(&b,100,0,0); /**/
599 for (i=0; i<num2; i++)
601 int bits = (200*(i+1))/num2;
605 BN_bntest_rand(&n,bits,0,1);
606 BN_MONT_CTX_set(mont,&n,ctx);
608 BN_nnmod(&a,&a,&n,ctx);
609 BN_nnmod(&b,&b,&n,ctx);
611 BN_to_montgomery(&A,&a,mont,ctx);
612 BN_to_montgomery(&B,&b,mont,ctx);
614 BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
615 BN_from_montgomery(&A,&c,mont,ctx);/**/
621 fprintf(stderr,"%d * %d %% %d\n",
624 BN_num_bits(mont->N));
630 BN_print(bp,&(mont->N));
636 BN_mod_mul(&d,&a,&b,&n,ctx);
640 fprintf(stderr,"Montgomery multiplication test failed!\n");
644 BN_MONT_CTX_free(mont);
655 int test_mod(BIO *bp, BN_CTX *ctx)
657 BIGNUM *a,*b,*c,*d,*e;
666 BN_bntest_rand(a,1024,0,0); /**/
667 for (i=0; i<num0; i++)
669 BN_bntest_rand(b,450+i*10,0,0); /**/
672 BN_mod(c,a,b,ctx);/**/
689 fprintf(stderr,"Modulo test failed!\n");
701 int test_mod_mul(BIO *bp, BN_CTX *ctx)
703 BIGNUM *a,*b,*c,*d,*e;
712 for (j=0; j<3; j++) {
713 BN_bntest_rand(c,1024,0,0); /**/
714 for (i=0; i<num0; i++)
716 BN_bntest_rand(a,475+i*10,0,0); /**/
717 BN_bntest_rand(b,425+i*11,0,0); /**/
720 if (!BN_mod_mul(e,a,b,c,ctx))
724 while ((l=ERR_get_error()))
725 fprintf(stderr,"ERROR:%s\n",
726 ERR_error_string(l,NULL));
738 if ((a->neg ^ b->neg) && !BN_is_zero(e))
740 /* If (a*b) % c is negative, c must be added
741 * in order to obtain the normalized remainder
742 * (new with OpenSSL 0.9.7, previous versions of
743 * BN_mod_mul could generate negative results)
758 fprintf(stderr,"Modulo multiply test failed!\n");
759 ERR_print_errors_fp(stderr);
772 int test_mod_exp(BIO *bp, BN_CTX *ctx)
774 BIGNUM *a,*b,*c,*d,*e;
783 BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
784 for (i=0; i<num2; i++)
786 BN_bntest_rand(a,20+i*5,0,0); /**/
787 BN_bntest_rand(b,2+i,0,0); /**/
789 if (!BN_mod_exp(d,a,b,c,ctx))
811 fprintf(stderr,"Modulo exponentiation test failed!\n");
823 int test_exp(BIO *bp, BN_CTX *ctx)
825 BIGNUM *a,*b,*d,*e,*one;
835 for (i=0; i<num2; i++)
837 BN_bntest_rand(a,20+i*5,0,0); /**/
838 BN_bntest_rand(b,2+i,0,0); /**/
840 if (!BN_exp(d,a,b,ctx))
856 for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
861 fprintf(stderr,"Exponentiation test failed!\n");
873 static void genprime_cb(int p, int n, void *arg)
887 int test_kron(BIO *bp, BN_CTX *ctx)
891 int legendre, kronecker;
898 if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
900 /* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol).
901 * In this case we know that if b is prime, then BN_kronecker(a, b, ctx)
902 * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
903 * So we generate a random prime b and compare these values
904 * for a number of random a's. (That is, we run the Solovay-Strassen
905 * primality test to confirm that b is prime, except that we
906 * don't want to test whether b is prime but whether BN_kronecker
909 if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
913 for (i = 0; i < num0; i++)
915 if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
918 /* t := (|b|-1)/2 (note that b is odd) */
919 if (!BN_copy(t, b)) goto err;
921 if (!BN_sub_word(t, 1)) goto err;
922 if (!BN_rshift1(t, t)) goto err;
926 if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err; /* XXX should be BN_mod_exp_recp, but ..._recp triggers a bug that must be fixed */
929 if (BN_is_word(r, 1))
931 else if (BN_is_zero(r))
935 if (!BN_add_word(r, 1)) goto err;
936 if (0 != BN_ucmp(r, b))
938 fprintf(stderr, "Legendre symbol computation failed\n");
944 kronecker = BN_kronecker(a, b, ctx);
945 if (kronecker < -1) goto err;
946 /* we actually need BN_kronecker(a, |b|) */
947 if (a->neg && b->neg)
948 kronecker = -kronecker;
950 if (legendre != kronecker)
952 fprintf(stderr, "legendre != kronecker; a = ");
953 BN_print_fp(stderr, a);
954 fprintf(stderr, ", b = ");
955 BN_print_fp(stderr, b);
956 fprintf(stderr, "\n");
968 if (a != NULL) BN_free(a);
969 if (b != NULL) BN_free(b);
970 if (r != NULL) BN_free(r);
971 if (t != NULL) BN_free(t);
975 int test_sqrt(BIO *bp, BN_CTX *ctx)
984 if (a == NULL || p == NULL || r == NULL) goto err;
986 for (i = 0; i < 16; i++)
990 unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
992 if (!BN_set_word(p, primes[i])) goto err;
996 if (!BN_set_word(a, 32)) goto err;
997 if (!BN_set_word(r, 2*i + 1)) goto err;
999 if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
1002 p->neg = rand_neg();
1004 for (j = 0; j < num2; j++)
1006 /* construct 'a' such that it is a square modulo p,
1007 * but in general not a proper square and not reduced modulo p */
1008 if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
1009 if (!BN_nnmod(r, r, p, ctx)) goto err;
1010 if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1011 if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
1012 if (!BN_nnmod(a, a, p, ctx)) goto err;
1013 if (!BN_mod_sqr(a, a, p, ctx)) goto err;
1014 if (!BN_mul(a, a, r, ctx)) goto err;
1016 if (!BN_sub(a, a, p)) goto err;
1018 if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
1019 if (!BN_mod_sqr(r, r, p, ctx)) goto err;
1021 if (!BN_nnmod(a, a, p, ctx)) goto err;
1023 if (BN_cmp(a, r) != 0)
1025 fprintf(stderr, "BN_mod_sqrt failed: a = ");
1026 BN_print_fp(stderr, a);
1027 fprintf(stderr, ", r = ");
1028 BN_print_fp(stderr, r);
1029 fprintf(stderr, ", p = ");
1030 BN_print_fp(stderr, p);
1031 fprintf(stderr, "\n");
1044 if (a != NULL) BN_free(a);
1045 if (p != NULL) BN_free(p);
1046 if (r != NULL) BN_free(r);
1050 int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
1065 BN_bntest_rand(a,200,0,0); /**/
1068 for (i=0; i<num0; i++)
1088 fprintf(stderr,"Left shift test failed!\n");
1089 fprintf(stderr,"a=");
1090 BN_print_fp(stderr,a);
1091 fprintf(stderr,"\nb=");
1092 BN_print_fp(stderr,b);
1093 fprintf(stderr,"\nc=");
1094 BN_print_fp(stderr,c);
1095 fprintf(stderr,"\nd=");
1096 BN_print_fp(stderr,d);
1097 fprintf(stderr,"\n");
1108 int test_lshift1(BIO *bp)
1117 BN_bntest_rand(a,200,0,0); /**/
1119 for (i=0; i<num0; i++)
1127 BIO_puts(bp," * 2");
1137 fprintf(stderr,"Left shift one test failed!\n");
1149 int test_rshift(BIO *bp,BN_CTX *ctx)
1151 BIGNUM *a,*b,*c,*d,*e;
1161 BN_bntest_rand(a,200,0,0); /**/
1163 for (i=0; i<num0; i++)
1179 BN_div(d,e,a,c,ctx);
1183 fprintf(stderr,"Right shift test failed!\n");
1195 int test_rshift1(BIO *bp)
1204 BN_bntest_rand(a,200,0,0); /**/
1206 for (i=0; i<num0; i++)
1214 BIO_puts(bp," / 2");
1222 if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
1224 fprintf(stderr,"Right shift one test failed!\n");
1237 static unsigned int neg=0;
1238 static int sign[8]={0,0,0,1,1,0,1,1};
1240 return(sign[(neg++)%8]);