diff options
Diffstat (limited to 'main/openssl/crypto/bn/bntest.c')
| m--------- | main/openssl | 0 | ||||
| -rw-r--r-- | main/openssl/crypto/bn/bntest.c | 2143 |
2 files changed, 0 insertions, 2143 deletions
diff --git a/main/openssl b/main/openssl new file mode 160000 +Subproject 4d377a9ce111930d8a8f06dc0e94a892a7f6c51 diff --git a/main/openssl/crypto/bn/bntest.c b/main/openssl/crypto/bn/bntest.c deleted file mode 100644 index 48bc6338..00000000 --- a/main/openssl/crypto/bn/bntest.c +++ /dev/null @@ -1,2143 +0,0 @@ -/* 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, ret = 0; - - a = BN_new(); - c = BN_new(); - d = BN_new(); - e = BN_new(); - if (a == NULL || c == NULL || d == NULL || e == NULL) - { - goto err; - } - - 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"); - goto err; - } - } - - /* Regression test for a BN_sqr overflow bug. */ - BN_hex2bn(&a, - "80000000000000008000000000000001FFFFFFFFFFFFFFFE0000000000000000"); - 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_mul(d, a, a, ctx); - if (BN_cmp(c, d)) - { - fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce " - "different results!\n"); - goto err; - } - - /* Regression test for a BN_sqr overflow bug. */ - BN_hex2bn(&a, - "80000000000000000000000080000001FFFFFFFE000000000000000000000000"); - 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_mul(d, a, a, ctx); - if (BN_cmp(c, d)) - { - fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce " - "different results!\n"); - goto err; - } - ret = 1; -err: - if (a != NULL) BN_free(a); - if (c != NULL) BN_free(c); - if (d != NULL) BN_free(d); - if (e != NULL) BN_free(e); - return ret; - } - -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]); - } |