diff options
Diffstat (limited to 'openssl/crypto/bn/bntest.c')
| -rw-r--r-- | openssl/crypto/bn/bntest.c | 3808 |
1 files changed, 1940 insertions, 1868 deletions
diff --git a/openssl/crypto/bn/bntest.c b/openssl/crypto/bn/bntest.c index 06f5954ac..06662c58b 100644 --- a/openssl/crypto/bn/bntest.c +++ b/openssl/crypto/bn/bntest.c @@ -5,21 +5,21 @@ * 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: @@ -34,10 +34,10 @@ * 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 + * 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 @@ -49,7 +49,7 @@ * 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 @@ -58,21 +58,23 @@ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * - * Portions of the attached software ("Contribution") are developed by + * 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 + * 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 */ +/* + * 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 +# undef OPENSSL_NO_DEPRECATED #endif #include <stdio.h> @@ -87,1927 +89,1997 @@ #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 */ +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_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_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_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_exp(BIO *bp,BN_CTX *ctx); +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 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 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 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 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"); - } +{ + 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; - (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); +{ + 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); + 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); - } + 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); - } +{ + 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); - } +{ + 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) - { +{ + 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; - } + 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); - } + 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); - } +{ + 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); - } +{ + 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); - } +{ + 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); - } +{ + 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, + "80000000000000008000000000000001" + "FFFFFFFFFFFFFFFE0000000000000000"); + 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, + "80000000000000000000000080000001" + "FFFFFFFE000000000000000000000000"); + 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) - { +{ + 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)); + 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); - } + 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); - } +{ + 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); - } +{ + 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); - } +{ + 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); - } +{ + 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); - } +{ + 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; - } +{ + 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; - } +{ + 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; - } +{ + 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; +{ + 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; - } + 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; +{ + 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); - } + 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); - } +{ + 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); - } +{ + 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}; +{ + static unsigned int neg = 0; + static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 }; - return(sign[(neg++)%8]); - } + return (sign[(neg++) % 8]); +} |