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openssl/crypto/bn/bntest.c
Bodo Möller bb565cd29e Backport regression test 
master branch has a specific regression test for a bug in x86_64-mont5 code,
see commit cdfe0fdde6.

This code is now in 1.0.2/1.0.1, so also backport the test.

Reviewed-by: Richard Levitte <levitte@openssl.org>
2014-12-17 12:00:17 +01:00

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/* crypto/bn/bntest.c */
/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
*
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
*
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* "This product includes cryptographic software written by
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
* 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
*
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the Eric Young open source
* license provided above.
*
* The binary polynomial arithmetic software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
*
*/
/* Until the key-gen callbacks are modified to use newer prototypes, we allow
* deprecated functions for openssl-internal code */
#ifdef OPENSSL_NO_DEPRECATED
#undef OPENSSL_NO_DEPRECATED
#endif
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "e_os.h"
#include <openssl/bio.h>
#include <openssl/bn.h>
#include <openssl/rand.h>
#include <openssl/x509.h>
#include <openssl/err.h>
const int num0 = 100; /* number of tests */
const int num1 = 50; /* additional tests for some functions */
const int num2 = 5; /* number of tests for slow functions */
int test_add(BIO *bp);
int test_sub(BIO *bp);
int test_lshift1(BIO *bp);
int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
int test_rshift1(BIO *bp);
int test_rshift(BIO *bp,BN_CTX *ctx);
int test_div(BIO *bp,BN_CTX *ctx);
int test_div_word(BIO *bp);
int test_div_recp(BIO *bp,BN_CTX *ctx);
int test_mul(BIO *bp);
int test_sqr(BIO *bp,BN_CTX *ctx);
int test_mont(BIO *bp,BN_CTX *ctx);
int test_mod(BIO *bp,BN_CTX *ctx);
int test_mod_mul(BIO *bp,BN_CTX *ctx);
int test_mod_exp(BIO *bp,BN_CTX *ctx);
int test_mod_exp_mont_consttime(BIO *bp,BN_CTX *ctx);
int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx);
int test_exp(BIO *bp,BN_CTX *ctx);
int test_gf2m_add(BIO *bp);
int test_gf2m_mod(BIO *bp);
int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx);
int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx);
int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx);
int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx);
int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx);
int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx);
int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx);
int test_kron(BIO *bp,BN_CTX *ctx);
int test_sqrt(BIO *bp,BN_CTX *ctx);
int rand_neg(void);
static int results=0;
static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
static const char rnd_seed[] = "string to make the random number generator think it has entropy";
static void message(BIO *out, char *m)
{
fprintf(stderr, "test %s\n", m);
BIO_puts(out, "print \"test ");
BIO_puts(out, m);
BIO_puts(out, "\\n\"\n");
}
int main(int argc, char *argv[])
{
BN_CTX *ctx;
BIO *out;
char *outfile=NULL;
results = 0;
RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
argc--;
argv++;
while (argc >= 1)
{
if (strcmp(*argv,"-results") == 0)
results=1;
else if (strcmp(*argv,"-out") == 0)
{
if (--argc < 1) break;
outfile= *(++argv);
}
argc--;
argv++;
}
ctx=BN_CTX_new();
if (ctx == NULL) EXIT(1);
out=BIO_new(BIO_s_file());
if (out == NULL) EXIT(1);
if (outfile == NULL)
{
BIO_set_fp(out,stdout,BIO_NOCLOSE);
}
else
{
if (!BIO_write_filename(out,outfile))
{
perror(outfile);
EXIT(1);
}
}
if (!results)
BIO_puts(out,"obase=16\nibase=16\n");
message(out,"BN_add");
if (!test_add(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_sub");
if (!test_sub(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_lshift1");
if (!test_lshift1(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_lshift (fixed)");
if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
goto err;
(void)BIO_flush(out);
message(out,"BN_lshift");
if (!test_lshift(out,ctx,NULL)) goto err;
(void)BIO_flush(out);
message(out,"BN_rshift1");
if (!test_rshift1(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_rshift");
if (!test_rshift(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_sqr");
if (!test_sqr(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mul");
if (!test_mul(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_div");
if (!test_div(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_div_word");
if (!test_div_word(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_div_recp");
if (!test_div_recp(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mod");
if (!test_mod(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mod_mul");
if (!test_mod_mul(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mont");
if (!test_mont(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mod_exp");
if (!test_mod_exp(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mod_exp_mont_consttime");
if (!test_mod_exp_mont_consttime(out,ctx)) goto err;
if (!test_mod_exp_mont5(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_exp");
if (!test_exp(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_kronecker");
if (!test_kron(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_mod_sqrt");
if (!test_sqrt(out,ctx)) goto err;
(void)BIO_flush(out);
#ifndef OPENSSL_NO_EC2M
message(out,"BN_GF2m_add");
if (!test_gf2m_add(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod");
if (!test_gf2m_mod(out)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_mul");
if (!test_gf2m_mod_mul(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_sqr");
if (!test_gf2m_mod_sqr(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_inv");
if (!test_gf2m_mod_inv(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_div");
if (!test_gf2m_mod_div(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_exp");
if (!test_gf2m_mod_exp(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_sqrt");
if (!test_gf2m_mod_sqrt(out,ctx)) goto err;
(void)BIO_flush(out);
message(out,"BN_GF2m_mod_solve_quad");
if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
(void)BIO_flush(out);
#endif
BN_CTX_free(ctx);
BIO_free(out);
/**/
EXIT(0);
err:
BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
* the failure, see test_bn in test/Makefile.ssl*/
(void)BIO_flush(out);
ERR_load_crypto_strings();
ERR_print_errors_fp(stderr);
EXIT(1);
return(1);
}
int test_add(BIO *bp)
{
BIGNUM a,b,c;
int i;
BN_init(&a);
BN_init(&b);
BN_init(&c);
BN_bntest_rand(&a,512,0,0);
for (i=0; i<num0; i++)
{
BN_bntest_rand(&b,450+i,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
BN_add(&c,&a,&b);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," + ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
a.neg=!a.neg;
b.neg=!b.neg;
BN_add(&c,&c,&b);
BN_add(&c,&c,&a);
if(!BN_is_zero(&c))
{
fprintf(stderr,"Add test failed!\n");
return 0;
}
}
BN_free(&a);
BN_free(&b);
BN_free(&c);
return(1);
}
int test_sub(BIO *bp)
{
BIGNUM a,b,c;
int i;
BN_init(&a);
BN_init(&b);
BN_init(&c);
for (i=0; i<num0+num1; i++)
{
if (i < num1)
{
BN_bntest_rand(&a,512,0,0);
BN_copy(&b,&a);
if (BN_set_bit(&a,i)==0) return(0);
BN_add_word(&b,i);
}
else
{
BN_bntest_rand(&b,400+i-num1,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
}
BN_sub(&c,&a,&b);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," - ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
BN_add(&c,&c,&b);
BN_sub(&c,&c,&a);
if(!BN_is_zero(&c))
{
fprintf(stderr,"Subtract test failed!\n");
return 0;
}
}
BN_free(&a);
BN_free(&b);
BN_free(&c);
return(1);
}
int test_div(BIO *bp, BN_CTX *ctx)
{
BIGNUM a,b,c,d,e;
int i;
BN_init(&a);
BN_init(&b);
BN_init(&c);
BN_init(&d);
BN_init(&e);
for (i=0; i<num0+num1; i++)
{
if (i < num1)
{
BN_bntest_rand(&a,400,0,0);
BN_copy(&b,&a);
BN_lshift(&a,&a,i);
BN_add_word(&a,i);
}
else
BN_bntest_rand(&b,50+3*(i-num1),0,0);
a.neg=rand_neg();
b.neg=rand_neg();
BN_div(&d,&c,&a,&b,ctx);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," / ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&d);
BIO_puts(bp,"\n");
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," % ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
BN_mul(&e,&d,&b,ctx);
BN_add(&d,&e,&c);
BN_sub(&d,&d,&a);
if(!BN_is_zero(&d))
{
fprintf(stderr,"Division test failed!\n");
return 0;
}
}
BN_free(&a);
BN_free(&b);
BN_free(&c);
BN_free(&d);
BN_free(&e);
return(1);
}
static void print_word(BIO *bp,BN_ULONG w)
{
#ifdef SIXTY_FOUR_BIT
if (sizeof(w) > sizeof(unsigned long))
{
unsigned long h=(unsigned long)(w>>32),
l=(unsigned long)(w);
if (h) BIO_printf(bp,"%lX%08lX",h,l);
else BIO_printf(bp,"%lX",l);
return;
}
#endif
BIO_printf(bp,BN_HEX_FMT1,w);
}
int test_div_word(BIO *bp)
{
BIGNUM a,b;
BN_ULONG r,s;
int i;
BN_init(&a);
BN_init(&b);
for (i=0; i<num0; i++)
{
do {
BN_bntest_rand(&a,512,-1,0);
BN_bntest_rand(&b,BN_BITS2,-1,0);
s = b.d[0];
} while (!s);
BN_copy(&b, &a);
r = BN_div_word(&b, s);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," / ");
print_word(bp,s);
BIO_puts(bp," - ");
}
BN_print(bp,&b);
BIO_puts(bp,"\n");
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," % ");
print_word(bp,s);
BIO_puts(bp," - ");
}
print_word(bp,r);
BIO_puts(bp,"\n");
}
BN_mul_word(&b,s);
BN_add_word(&b,r);
BN_sub(&b,&a,&b);
if(!BN_is_zero(&b))
{
fprintf(stderr,"Division (word) test failed!\n");
return 0;
}
}
BN_free(&a);
BN_free(&b);
return(1);
}
int test_div_recp(BIO *bp, BN_CTX *ctx)
{
BIGNUM a,b,c,d,e;
BN_RECP_CTX recp;
int i;
BN_RECP_CTX_init(&recp);
BN_init(&a);
BN_init(&b);
BN_init(&c);
BN_init(&d);
BN_init(&e);
for (i=0; i<num0+num1; i++)
{
if (i < num1)
{
BN_bntest_rand(&a,400,0,0);
BN_copy(&b,&a);
BN_lshift(&a,&a,i);
BN_add_word(&a,i);
}
else
BN_bntest_rand(&b,50+3*(i-num1),0,0);
a.neg=rand_neg();
b.neg=rand_neg();
BN_RECP_CTX_set(&recp,&b,ctx);
BN_div_recp(&d,&c,&a,&recp,ctx);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," / ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&d);
BIO_puts(bp,"\n");
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," % ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
BN_mul(&e,&d,&b,ctx);
BN_add(&d,&e,&c);
BN_sub(&d,&d,&a);
if(!BN_is_zero(&d))
{
fprintf(stderr,"Reciprocal division test failed!\n");
fprintf(stderr,"a=");
BN_print_fp(stderr,&a);
fprintf(stderr,"\nb=");
BN_print_fp(stderr,&b);
fprintf(stderr,"\n");
return 0;
}
}
BN_free(&a);
BN_free(&b);
BN_free(&c);
BN_free(&d);
BN_free(&e);
BN_RECP_CTX_free(&recp);
return(1);
}
int test_mul(BIO *bp)
{
BIGNUM a,b,c,d,e;
int i;
BN_CTX *ctx;
ctx = BN_CTX_new();
if (ctx == NULL) EXIT(1);
BN_init(&a);
BN_init(&b);
BN_init(&c);
BN_init(&d);
BN_init(&e);
for (i=0; i<num0+num1; i++)
{
if (i <= num1)
{
BN_bntest_rand(&a,100,0,0);
BN_bntest_rand(&b,100,0,0);
}
else
BN_bntest_rand(&b,i-num1,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
BN_mul(&c,&a,&b,ctx);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," * ");
BN_print(bp,&b);
BIO_puts(bp," - ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
BN_div(&d,&e,&c,&a,ctx);
BN_sub(&d,&d,&b);
if(!BN_is_zero(&d) || !BN_is_zero(&e))
{
fprintf(stderr,"Multiplication test failed!\n");
return 0;
}
}
BN_free(&a);
BN_free(&b);
BN_free(&c);
BN_free(&d);
BN_free(&e);
BN_CTX_free(ctx);
return(1);
}
int test_sqr(BIO *bp, BN_CTX *ctx)
{
BIGNUM a,c,d,e;
int i;
BN_init(&a);
BN_init(&c);
BN_init(&d);
BN_init(&e);
for (i=0; i<num0; i++)
{
BN_bntest_rand(&a,40+i*10,0,0);
a.neg=rand_neg();
BN_sqr(&c,&a,ctx);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," * ");
BN_print(bp,&a);
BIO_puts(bp," - ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
BN_div(&d,&e,&c,&a,ctx);
BN_sub(&d,&d,&a);
if(!BN_is_zero(&d) || !BN_is_zero(&e))
{
fprintf(stderr,"Square test failed!\n");
return 0;
}
}
BN_free(&a);
BN_free(&c);
BN_free(&d);
BN_free(&e);
return(1);
}
int test_mont(BIO *bp, BN_CTX *ctx)
{
BIGNUM a,b,c,d,A,B;
BIGNUM n;
int i;
BN_MONT_CTX *mont;
BN_init(&a);
BN_init(&b);
BN_init(&c);
BN_init(&d);
BN_init(&A);
BN_init(&B);
BN_init(&n);
mont=BN_MONT_CTX_new();
if (mont == NULL)
return 0;
BN_bntest_rand(&a,100,0,0); /**/
BN_bntest_rand(&b,100,0,0); /**/
for (i=0; i<num2; i++)
{
int bits = (200*(i+1))/num2;
if (bits == 0)
continue;
BN_bntest_rand(&n,bits,0,1);
BN_MONT_CTX_set(mont,&n,ctx);
BN_nnmod(&a,&a,&n,ctx);
BN_nnmod(&b,&b,&n,ctx);
BN_to_montgomery(&A,&a,mont,ctx);
BN_to_montgomery(&B,&b,mont,ctx);
BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
BN_from_montgomery(&A,&c,mont,ctx);/**/
if (bp != NULL)
{
if (!results)
{
#ifdef undef
fprintf(stderr,"%d * %d %% %d\n",
BN_num_bits(&a),
BN_num_bits(&b),
BN_num_bits(mont->N));
#endif
BN_print(bp,&a);
BIO_puts(bp," * ");
BN_print(bp,&b);
BIO_puts(bp," % ");
BN_print(bp,&(mont->N));
BIO_puts(bp," - ");
}
BN_print(bp,&A);
BIO_puts(bp,"\n");
}
BN_mod_mul(&d,&a,&b,&n,ctx);
BN_sub(&d,&d,&A);
if(!BN_is_zero(&d))
{
fprintf(stderr,"Montgomery multiplication test failed!\n");
return 0;
}
}
BN_MONT_CTX_free(mont);
BN_free(&a);
BN_free(&b);
BN_free(&c);
BN_free(&d);
BN_free(&A);
BN_free(&B);
BN_free(&n);
return(1);
}
int test_mod(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*c,*d,*e;
int i;
a=BN_new();
b=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
BN_bntest_rand(a,1024,0,0); /**/
for (i=0; i<num0; i++)
{
BN_bntest_rand(b,450+i*10,0,0); /**/
a->neg=rand_neg();
b->neg=rand_neg();
BN_mod(c,a,b,ctx);/**/
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," % ");
BN_print(bp,b);
BIO_puts(bp," - ");
}
BN_print(bp,c);
BIO_puts(bp,"\n");
}
BN_div(d,e,a,b,ctx);
BN_sub(e,e,c);
if(!BN_is_zero(e))
{
fprintf(stderr,"Modulo test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return(1);
}
int test_mod_mul(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*c,*d,*e;
int i,j;
a=BN_new();
b=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
for (j=0; j<3; j++) {
BN_bntest_rand(c,1024,0,0); /**/
for (i=0; i<num0; i++)
{
BN_bntest_rand(a,475+i*10,0,0); /**/
BN_bntest_rand(b,425+i*11,0,0); /**/
a->neg=rand_neg();
b->neg=rand_neg();
if (!BN_mod_mul(e,a,b,c,ctx))
{
unsigned long l;
while ((l=ERR_get_error()))
fprintf(stderr,"ERROR:%s\n",
ERR_error_string(l,NULL));
EXIT(1);
}
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," * ");
BN_print(bp,b);
BIO_puts(bp," % ");
BN_print(bp,c);
if ((a->neg ^ b->neg) && !BN_is_zero(e))
{
/* If (a*b) % c is negative, c must be added
* in order to obtain the normalized remainder
* (new with OpenSSL 0.9.7, previous versions of
* BN_mod_mul could generate negative results)
*/
BIO_puts(bp," + ");
BN_print(bp,c);
}
BIO_puts(bp," - ");
}
BN_print(bp,e);
BIO_puts(bp,"\n");
}
BN_mul(d,a,b,ctx);
BN_sub(d,d,e);
BN_div(a,b,d,c,ctx);
if(!BN_is_zero(b))
{
fprintf(stderr,"Modulo multiply test failed!\n");
ERR_print_errors_fp(stderr);
return 0;
}
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return(1);
}
int test_mod_exp(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*c,*d,*e;
int i;
a=BN_new();
b=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
for (i=0; i<num2; i++)
{
BN_bntest_rand(a,20+i*5,0,0); /**/
BN_bntest_rand(b,2+i,0,0); /**/
if (!BN_mod_exp(d,a,b,c,ctx))
return(0);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," ^ ");
BN_print(bp,b);
BIO_puts(bp," % ");
BN_print(bp,c);
BIO_puts(bp," - ");
}
BN_print(bp,d);
BIO_puts(bp,"\n");
}
BN_exp(e,a,b,ctx);
BN_sub(e,e,d);
BN_div(a,b,e,c,ctx);
if(!BN_is_zero(b))
{
fprintf(stderr,"Modulo exponentiation test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return(1);
}
int test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*c,*d,*e;
int i;
a=BN_new();
b=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
for (i=0; i<num2; i++)
{
BN_bntest_rand(a,20+i*5,0,0); /**/
BN_bntest_rand(b,2+i,0,0); /**/
if (!BN_mod_exp_mont_consttime(d,a,b,c,ctx,NULL))
return(00);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," ^ ");
BN_print(bp,b);
BIO_puts(bp," % ");
BN_print(bp,c);
BIO_puts(bp," - ");
}
BN_print(bp,d);
BIO_puts(bp,"\n");
}
BN_exp(e,a,b,ctx);
BN_sub(e,e,d);
BN_div(a,b,e,c,ctx);
if(!BN_is_zero(b))
{
fprintf(stderr,"Modulo exponentiation test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return(1);
}
/* Test constant-time modular exponentiation with 1024-bit inputs,
* which on x86_64 cause a different code branch to be taken.
*/
int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*p,*m,*d,*e;
BN_MONT_CTX *mont;
a=BN_new();
p=BN_new();
m=BN_new();
d=BN_new();
e=BN_new();
mont = BN_MONT_CTX_new();
BN_bntest_rand(m,1024,0,1); /* must be odd for montgomery */
/* Zero exponent */
BN_bntest_rand(a,1024,0,0);
BN_zero(p);
if(!BN_mod_exp_mont_consttime(d,a,p,m,ctx,NULL))
return 0;
if(!BN_is_one(d))
{
fprintf(stderr, "Modular exponentiation test failed!\n");
return 0;
}
/* Zero input */
BN_bntest_rand(p,1024,0,0);
BN_zero(a);
if(!BN_mod_exp_mont_consttime(d,a,p,m,ctx,NULL))
return 0;
if(!BN_is_zero(d))
{
fprintf(stderr, "Modular exponentiation test failed!\n");
return 0;
}
/* Craft an input whose Montgomery representation is 1,
* i.e., shorter than the modulus m, in order to test
* the const time precomputation scattering/gathering.
*/
BN_one(a);
BN_MONT_CTX_set(mont,m,ctx);
if(!BN_from_montgomery(e,a,mont,ctx))
return 0;
if(!BN_mod_exp_mont_consttime(d,e,p,m,ctx,NULL))
return 0;
if(!BN_mod_exp_simple(a,e,p,m,ctx))
return 0;
if(BN_cmp(a,d) != 0)
{
fprintf(stderr,"Modular exponentiation test failed!\n");
return 0;
}
/* Finally, some regular test vectors. */
BN_bntest_rand(e,1024,0,0);
if(!BN_mod_exp_mont_consttime(d,e,p,m,ctx,NULL))
return 0;
if(!BN_mod_exp_simple(a,e,p,m,ctx))
return 0;
if(BN_cmp(a,d) != 0)
{
fprintf(stderr,"Modular exponentiation test failed!\n");
return 0;
}
BN_free(a);
BN_free(p);
BN_free(m);
BN_free(d);
BN_free(e);
return(1);
}
int test_exp(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*d,*e,*one;
int i;
a=BN_new();
b=BN_new();
d=BN_new();
e=BN_new();
one=BN_new();
BN_one(one);
for (i=0; i<num2; i++)
{
BN_bntest_rand(a,20+i*5,0,0); /**/
BN_bntest_rand(b,2+i,0,0); /**/
if (BN_exp(d,a,b,ctx) <= 0)
return(0);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," ^ ");
BN_print(bp,b);
BIO_puts(bp," - ");
}
BN_print(bp,d);
BIO_puts(bp,"\n");
}
BN_one(e);
for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
BN_mul(e,e,a,ctx);
BN_sub(e,e,d);
if(!BN_is_zero(e))
{
fprintf(stderr,"Exponentiation test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(d);
BN_free(e);
BN_free(one);
return(1);
}
#ifndef OPENSSL_NO_EC2M
int test_gf2m_add(BIO *bp)
{
BIGNUM a,b,c;
int i, ret = 0;
BN_init(&a);
BN_init(&b);
BN_init(&c);
for (i=0; i<num0; i++)
{
BN_rand(&a,512,0,0);
BN_copy(&b, BN_value_one());
a.neg=rand_neg();
b.neg=rand_neg();
BN_GF2m_add(&c,&a,&b);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,&a);
BIO_puts(bp," ^ ");
BN_print(bp,&b);
BIO_puts(bp," = ");
}
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
#endif
/* Test that two added values have the correct parity. */
if((BN_is_odd(&a) && BN_is_odd(&c)) || (!BN_is_odd(&a) && !BN_is_odd(&c)))
{
fprintf(stderr,"GF(2^m) addition test (a) failed!\n");
goto err;
}
BN_GF2m_add(&c,&c,&c);
/* Test that c + c = 0. */
if(!BN_is_zero(&c))
{
fprintf(stderr,"GF(2^m) addition test (b) failed!\n");
goto err;
}
}
ret = 1;
err:
BN_free(&a);
BN_free(&b);
BN_free(&c);
return ret;
}
int test_gf2m_mod(BIO *bp)
{
BIGNUM *a,*b[2],*c,*d,*e;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 1024, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod(c, a, b[j]);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," % ");
BN_print(bp,b[j]);
BIO_puts(bp," - ");
BN_print(bp,c);
BIO_puts(bp,"\n");
}
}
#endif
BN_GF2m_add(d, a, c);
BN_GF2m_mod(e, d, b[j]);
/* Test that a + (a mod p) mod p == 0. */
if(!BN_is_zero(e))
{
fprintf(stderr,"GF(2^m) modulo test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
return ret;
}
int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f,*g,*h;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
f=BN_new();
g=BN_new();
h=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 1024, 0, 0);
BN_bntest_rand(c, 1024, 0, 0);
BN_bntest_rand(d, 1024, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod_mul(e, a, c, b[j], ctx);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," * ");
BN_print(bp,c);
BIO_puts(bp," % ");
BN_print(bp,b[j]);
BIO_puts(bp," - ");
BN_print(bp,e);
BIO_puts(bp,"\n");
}
}
#endif
BN_GF2m_add(f, a, d);
BN_GF2m_mod_mul(g, f, c, b[j], ctx);
BN_GF2m_mod_mul(h, d, c, b[j], ctx);
BN_GF2m_add(f, e, g);
BN_GF2m_add(f, f, h);
/* Test that (a+d)*c = a*c + d*c. */
if(!BN_is_zero(f))
{
fprintf(stderr,"GF(2^m) modular multiplication test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
BN_free(g);
BN_free(h);
return ret;
}
int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 1024, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod_sqr(c, a, b[j], ctx);
BN_copy(d, a);
BN_GF2m_mod_mul(d, a, d, b[j], ctx);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," ^ 2 % ");
BN_print(bp,b[j]);
BIO_puts(bp, " = ");
BN_print(bp,c);
BIO_puts(bp,"; a * a = ");
BN_print(bp,d);
BIO_puts(bp,"\n");
}
}
#endif
BN_GF2m_add(d, c, d);
/* Test that a*a = a^2. */
if(!BN_is_zero(d))
{
fprintf(stderr,"GF(2^m) modular squaring test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
return ret;
}
int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 512, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod_inv(c, a, b[j], ctx);
BN_GF2m_mod_mul(d, a, c, b[j], ctx);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp, " * ");
BN_print(bp,c);
BIO_puts(bp," - 1 % ");
BN_print(bp,b[j]);
BIO_puts(bp,"\n");
}
}
#endif
/* Test that ((1/a)*a) = 1. */
if(!BN_is_one(d))
{
fprintf(stderr,"GF(2^m) modular inversion test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
return ret;
}
int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
f=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 512, 0, 0);
BN_bntest_rand(c, 512, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod_div(d, a, c, b[j], ctx);
BN_GF2m_mod_mul(e, d, c, b[j], ctx);
BN_GF2m_mod_div(f, a, e, b[j], ctx);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp, " = ");
BN_print(bp,c);
BIO_puts(bp," * ");
BN_print(bp,d);
BIO_puts(bp, " % ");
BN_print(bp,b[j]);
BIO_puts(bp,"\n");
}
}
#endif
/* Test that ((a/c)*c)/a = 1. */
if(!BN_is_one(f))
{
fprintf(stderr,"GF(2^m) modular division test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
return ret;
}
int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
f=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 512, 0, 0);
BN_bntest_rand(c, 512, 0, 0);
BN_bntest_rand(d, 512, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod_exp(e, a, c, b[j], ctx);
BN_GF2m_mod_exp(f, a, d, b[j], ctx);
BN_GF2m_mod_mul(e, e, f, b[j], ctx);
BN_add(f, c, d);
BN_GF2m_mod_exp(f, a, f, b[j], ctx);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp, " ^ (");
BN_print(bp,c);
BIO_puts(bp," + ");
BN_print(bp,d);
BIO_puts(bp, ") = ");
BN_print(bp,e);
BIO_puts(bp, "; - ");
BN_print(bp,f);
BIO_puts(bp, " % ");
BN_print(bp,b[j]);
BIO_puts(bp,"\n");
}
}
#endif
BN_GF2m_add(f, e, f);
/* Test that a^(c+d)=a^c*a^d. */
if(!BN_is_zero(f))
{
fprintf(stderr,"GF(2^m) modular exponentiation test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
return ret;
}
int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e,*f;
int i, j, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
f=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 512, 0, 0);
for (j=0; j < 2; j++)
{
BN_GF2m_mod(c, a, b[j]);
BN_GF2m_mod_sqrt(d, a, b[j], ctx);
BN_GF2m_mod_sqr(e, d, b[j], ctx);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,d);
BIO_puts(bp, " ^ 2 - ");
BN_print(bp,a);
BIO_puts(bp,"\n");
}
}
#endif
BN_GF2m_add(f, c, e);
/* Test that d^2 = a, where d = sqrt(a). */
if(!BN_is_zero(f))
{
fprintf(stderr,"GF(2^m) modular square root test failed!\n");
goto err;
}
}
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
return ret;
}
int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b[2],*c,*d,*e;
int i, j, s = 0, t, ret = 0;
int p0[] = {163,7,6,3,0,-1};
int p1[] = {193,15,0,-1};
a=BN_new();
b[0]=BN_new();
b[1]=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i=0; i<num0; i++)
{
BN_bntest_rand(a, 512, 0, 0);
for (j=0; j < 2; j++)
{
t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
if (t)
{
s++;
BN_GF2m_mod_sqr(d, c, b[j], ctx);
BN_GF2m_add(d, c, d);
BN_GF2m_mod(e, a, b[j]);
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BN_print(bp,c);
BIO_puts(bp, " is root of z^2 + z = ");
BN_print(bp,a);
BIO_puts(bp, " % ");
BN_print(bp,b[j]);
BIO_puts(bp, "\n");
}
}
#endif
BN_GF2m_add(e, e, d);
/* Test that solution of quadratic c satisfies c^2 + c = a. */
if(!BN_is_zero(e))
{
fprintf(stderr,"GF(2^m) modular solve quadratic test failed!\n");
goto err;
}
}
else
{
#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
if (bp != NULL)
{
if (!results)
{
BIO_puts(bp, "There are no roots of z^2 + z = ");
BN_print(bp,a);
BIO_puts(bp, " % ");
BN_print(bp,b[j]);
BIO_puts(bp, "\n");
}
}
#endif
}
}
}
if (s == 0)
{
fprintf(stderr,"All %i tests of GF(2^m) modular solve quadratic resulted in no roots;\n", num0);
fprintf(stderr,"this is very unlikely and probably indicates an error.\n");
goto err;
}
ret = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
return ret;
}
#endif
static int genprime_cb(int p, int n, BN_GENCB *arg)
{
char c='*';
if (p == 0) c='.';
if (p == 1) c='+';
if (p == 2) c='*';
if (p == 3) c='\n';
putc(c, stderr);
fflush(stderr);
return 1;
}
int test_kron(BIO *bp, BN_CTX *ctx)
{
BN_GENCB cb;
BIGNUM *a,*b,*r,*t;
int i;
int legendre, kronecker;
int ret = 0;
a = BN_new();
b = BN_new();
r = BN_new();
t = BN_new();
if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
BN_GENCB_set(&cb, genprime_cb, NULL);
/* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol).
* In this case we know that if b is prime, then BN_kronecker(a, b, ctx)
* is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
* So we generate a random prime b and compare these values
* for a number of random a's. (That is, we run the Solovay-Strassen
* primality test to confirm that b is prime, except that we
* don't want to test whether b is prime but whether BN_kronecker
* works.) */
if (!BN_generate_prime_ex(b, 512, 0, NULL, NULL, &cb)) goto err;
b->neg = rand_neg();
putc('\n', stderr);
for (i = 0; i < num0; i++)
{
if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
a->neg = rand_neg();
/* t := (|b|-1)/2 (note that b is odd) */
if (!BN_copy(t, b)) goto err;
t->neg = 0;
if (!BN_sub_word(t, 1)) goto err;
if (!BN_rshift1(t, t)) goto err;
/* r := a^t mod b */
b->neg=0;
if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
b->neg=1;
if (BN_is_word(r, 1))
legendre = 1;
else if (BN_is_zero(r))
legendre = 0;
else
{
if (!BN_add_word(r, 1)) goto err;
if (0 != BN_ucmp(r, b))
{
fprintf(stderr, "Legendre symbol computation failed\n");
goto err;
}
legendre = -1;
}
kronecker = BN_kronecker(a, b, ctx);
if (kronecker < -1) goto err;
/* we actually need BN_kronecker(a, |b|) */
if (a->neg && b->neg)
kronecker = -kronecker;
if (legendre != kronecker)
{
fprintf(stderr, "legendre != kronecker; a = ");
BN_print_fp(stderr, a);
fprintf(stderr, ", b = ");
BN_print_fp(stderr, b);
fprintf(stderr, "\n");
goto err;
}
putc('.', stderr);
fflush(stderr);
}
putc('\n', stderr);
fflush(stderr);
ret = 1;
err:
if (a != NULL) BN_free(a);
if (b != NULL) BN_free(b);
if (r != NULL) BN_free(r);
if (t != NULL) BN_free(t);
return ret;
}
int test_sqrt(BIO *bp, BN_CTX *ctx)
{
BN_GENCB cb;
BIGNUM *a,*p,*r;
int i, j;
int ret = 0;
a = BN_new();
p = BN_new();
r = BN_new();
if (a == NULL || p == NULL || r == NULL) goto err;
BN_GENCB_set(&cb, genprime_cb, NULL);
for (i = 0; i < 16; i++)
{
if (i < 8)
{
unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
if (!BN_set_word(p, primes[i])) goto err;
}
else
{
if (!BN_set_word(a, 32)) goto err;
if (!BN_set_word(r, 2*i + 1)) goto err;
if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb)) goto err;
putc('\n', stderr);
}
p->neg = rand_neg();
for (j = 0; j < num2; j++)
{
/* construct 'a' such that it is a square modulo p,
* but in general not a proper square and not reduced modulo p */
if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
if (!BN_nnmod(r, r, p, ctx)) goto err;
if (!BN_mod_sqr(r, r, p, ctx)) goto err;
if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
if (!BN_nnmod(a, a, p, ctx)) goto err;
if (!BN_mod_sqr(a, a, p, ctx)) goto err;
if (!BN_mul(a, a, r, ctx)) goto err;
if (rand_neg())
if (!BN_sub(a, a, p)) goto err;
if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
if (!BN_mod_sqr(r, r, p, ctx)) goto err;
if (!BN_nnmod(a, a, p, ctx)) goto err;
if (BN_cmp(a, r) != 0)
{
fprintf(stderr, "BN_mod_sqrt failed: a = ");
BN_print_fp(stderr, a);
fprintf(stderr, ", r = ");
BN_print_fp(stderr, r);
fprintf(stderr, ", p = ");
BN_print_fp(stderr, p);
fprintf(stderr, "\n");
goto err;
}
putc('.', stderr);
fflush(stderr);
}
putc('\n', stderr);
fflush(stderr);
}
ret = 1;
err:
if (a != NULL) BN_free(a);
if (p != NULL) BN_free(p);
if (r != NULL) BN_free(r);
return ret;
}
int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
{
BIGNUM *a,*b,*c,*d;
int i;
b=BN_new();
c=BN_new();
d=BN_new();
BN_one(c);
if(a_)
a=a_;
else
{
a=BN_new();
BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
}
for (i=0; i<num0; i++)
{
BN_lshift(b,a,i+1);
BN_add(c,c,c);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," * ");
BN_print(bp,c);
BIO_puts(bp," - ");
}
BN_print(bp,b);
BIO_puts(bp,"\n");
}
BN_mul(d,a,c,ctx);
BN_sub(d,d,b);
if(!BN_is_zero(d))
{
fprintf(stderr,"Left shift test failed!\n");
fprintf(stderr,"a=");
BN_print_fp(stderr,a);
fprintf(stderr,"\nb=");
BN_print_fp(stderr,b);
fprintf(stderr,"\nc=");
BN_print_fp(stderr,c);
fprintf(stderr,"\nd=");
BN_print_fp(stderr,d);
fprintf(stderr,"\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
return(1);
}
int test_lshift1(BIO *bp)
{
BIGNUM *a,*b,*c;
int i;
a=BN_new();
b=BN_new();
c=BN_new();
BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
for (i=0; i<num0; i++)
{
BN_lshift1(b,a);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," * 2");
BIO_puts(bp," - ");
}
BN_print(bp,b);
BIO_puts(bp,"\n");
}
BN_add(c,a,a);
BN_sub(a,b,c);
if(!BN_is_zero(a))
{
fprintf(stderr,"Left shift one test failed!\n");
return 0;
}
BN_copy(a,b);
}
BN_free(a);
BN_free(b);
BN_free(c);
return(1);
}
int test_rshift(BIO *bp,BN_CTX *ctx)
{
BIGNUM *a,*b,*c,*d,*e;
int i;
a=BN_new();
b=BN_new();
c=BN_new();
d=BN_new();
e=BN_new();
BN_one(c);
BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
for (i=0; i<num0; i++)
{
BN_rshift(b,a,i+1);
BN_add(c,c,c);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," / ");
BN_print(bp,c);
BIO_puts(bp," - ");
}
BN_print(bp,b);
BIO_puts(bp,"\n");
}
BN_div(d,e,a,c,ctx);
BN_sub(d,d,b);
if(!BN_is_zero(d))
{
fprintf(stderr,"Right shift test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return(1);
}
int test_rshift1(BIO *bp)
{
BIGNUM *a,*b,*c;
int i;
a=BN_new();
b=BN_new();
c=BN_new();
BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
for (i=0; i<num0; i++)
{
BN_rshift1(b,a);
if (bp != NULL)
{
if (!results)
{
BN_print(bp,a);
BIO_puts(bp," / 2");
BIO_puts(bp," - ");
}
BN_print(bp,b);
BIO_puts(bp,"\n");
}
BN_sub(c,a,b);
BN_sub(c,c,b);
if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
{
fprintf(stderr,"Right shift one test failed!\n");
return 0;
}
BN_copy(a,b);
}
BN_free(a);
BN_free(b);
BN_free(c);
return(1);
}
int rand_neg(void)
{
static unsigned int neg=0;
static int sign[8]={0,0,0,1,1,0,1,1};
return(sign[(neg++)%8]);
}
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