X-Git-Url: https://git.openssl.org/gitweb/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fbntest.c;h=521858ae168029dfde79dfe6648a1a84beee1daa;hp=9bb1429253606cebb30bb64d98c6b878a6c88732;hb=9ccc00ef6ea65567622e40c49aca43f2c6d79cdb;hpb=a5a412350daa8f49b90323ec2a99fee499fc5b6d diff --git a/crypto/bn/bntest.c b/crypto/bn/bntest.c index 9bb1429253..521858ae16 100644 --- a/crypto/bn/bntest.c +++ b/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 @@ -58,13 +58,13 @@ /* ==================================================================== * 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. * */ @@ -83,2125 +83,1921 @@ #include "../crypto/bn/bn_lcl.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_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_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_small_prime(BIO *bp,BN_CTX *ctx); -int test_probable_prime_coprime(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 test_small_prime(BIO *bp, BN_CTX *ctx); +int test_probable_prime_coprime(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; - 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); - - message(out,"Small prime generation"); - if (!test_small_prime(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); + + message(out, "Small prime generation"); + if (!test_small_prime(out, ctx)) + goto err; + (void)BIO_flush(out); #ifdef OPENSSL_SYS_WIN32 - message(out,"Probable prime generation with coprimes disabled"); + message(out, "Probable prime generation with coprimes disabled"); #else - message(out,"Probable prime generation with coprimes"); - if (!test_probable_prime_coprime(out,ctx)) goto err; + message(out, "Probable prime generation with coprimes"); + if (!test_probable_prime_coprime(out, ctx)) + goto err; #endif - (void)BIO_flush(out); + (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); +} int test_add(BIO *bp) - { - BIGNUM *a,*b,*c; - int i; - - a = BN_new(); - b = BN_new(); - c = BN_new(); - - BN_bntest_rand(a,512,0,0); - for (i=0; ineg=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; + + a = BN_new(); + b = BN_new(); + c = BN_new(); + + 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; - - a = BN_new(); - b = BN_new(); - c = BN_new(); - - for (i=0; ineg=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; + + a = BN_new(); + b = BN_new(); + c = BN_new(); + + 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; - - a = BN_new(); - b = BN_new(); - c = BN_new(); - d = BN_new(); - e = BN_new(); - - for (i=0; ineg=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; + + a = BN_new(); + b = BN_new(); + c = BN_new(); + d = BN_new(); + e = BN_new(); + + 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; - - a = BN_new(); - b = BN_new(); - - for (i=0; id[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; + + a = BN_new(); + b = BN_new(); + + 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; - - recp = BN_RECP_CTX_new(); - a = BN_new(); - b = BN_new(); - c = BN_new(); - d = BN_new(); - e = BN_new(); - - for (i=0; ineg=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; + + recp = BN_RECP_CTX_new(); + a = BN_new(); + b = BN_new(); + c = BN_new(); + d = BN_new(); + e = BN_new(); + + 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); - - a = BN_new(); - b = BN_new(); - c = BN_new(); - d = BN_new(); - e = BN_new(); - - for (i=0; ineg=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); + + a = BN_new(); + b = BN_new(); + c = BN_new(); + d = BN_new(); + e = BN_new(); + + 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; ineg=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; - } +{ + 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; - - a = BN_new(); - b = BN_new(); - c = BN_new(); - d = BN_new(); - A = BN_new(); - B = BN_new(); - n = BN_new(); - - 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; iN); -#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); - } +{ + BIGNUM *a, *b, *c, *d, *A, *B; + BIGNUM *n; + int i; + BN_MONT_CTX *mont; + + a = BN_new(); + b = BN_new(); + c = BN_new(); + d = BN_new(); + A = BN_new(); + B = BN_new(); + n = BN_new(); + + 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) { + 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; ineg=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; ineg=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; ineg=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; + + a = BN_new(); + b = BN_new(); + c = BN_new(); + + 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); + /* 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; ineg = 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_small_prime(BIO *bp,BN_CTX *ctx) - { - static const int bits = 10; - int ret = 0; - BIGNUM *r; - - r = BN_new(); - if (!BN_generate_prime_ex(r, bits, 0, NULL, NULL, NULL)) - goto err; - if (BN_num_bits(r) != bits) - { - BIO_printf(bp, "Expected %d bit prime, got %d bit number\n", bits, BN_num_bits(r)); - goto err; - } - - ret = 1; - -err: - BN_clear_free(r); - return ret; - } + if (a != NULL) + BN_free(a); + if (p != NULL) + BN_free(p); + if (r != NULL) + BN_free(r); + return ret; +} + +int test_small_prime(BIO *bp, BN_CTX *ctx) +{ + static const int bits = 10; + int ret = 0; + BIGNUM *r; + + r = BN_new(); + if (!BN_generate_prime_ex(r, bits, 0, NULL, NULL, NULL)) + goto err; + if (BN_num_bits(r) != bits) { + BIO_printf(bp, "Expected %d bit prime, got %d bit number\n", bits, + BN_num_bits(r)); + goto err; + } + + ret = 1; + + err: + BN_clear_free(r); + return ret; +} + #ifndef OPENSSL_SYS_WIN32 int test_probable_prime_coprime(BIO *bp, BN_CTX *ctx) - { - int i, j, ret = 0; - BIGNUM *r; - BN_ULONG primes[5] = { 2, 3, 5, 7, 11 }; - - r = BN_new(); - - for (i = 0; i < 1000; i++) - { - if (!bn_probable_prime_dh_coprime(r, 1024, ctx)) goto err; - - for (j = 0; j < 5; j++) - { - if (BN_mod_word(r, primes[j]) == 0) - { - BIO_printf(bp, "Number generated is not coprime to %ld:\n", primes[j]); - BN_print_fp(stdout, r); - BIO_printf(bp, "\n"); - goto err; - } - } - } - - ret = 1; - -err: - BN_clear_free(r); - return ret; - } +{ + int i, j, ret = 0; + BIGNUM *r; + BN_ULONG primes[5] = { 2, 3, 5, 7, 11 }; + + r = BN_new(); + + for (i = 0; i < 1000; i++) { + if (!bn_probable_prime_dh_coprime(r, 1024, ctx)) + goto err; + + for (j = 0; j < 5; j++) { + if (BN_mod_word(r, primes[j]) == 0) { + BIO_printf(bp, "Number generated is not coprime to %ld:\n", + primes[j]); + BN_print_fp(stdout, r); + BIO_printf(bp, "\n"); + goto err; + } + } + } + + ret = 1; + + err: + BN_clear_free(r); + return ret; +} #endif -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; ineg = 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; ineg=rand_neg(); - for (i=0; ineg = 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; ineg = 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]); +}