diff --git a/crypto/bn/CMakeLists.txt b/crypto/bn/CMakeLists.txt index 0553201d..25663afd 100644 --- a/crypto/bn/CMakeLists.txt +++ b/crypto/bn/CMakeLists.txt @@ -69,7 +69,7 @@ perlasm(armv4-mont.${ASM_EXT} asm/armv4-mont.pl) add_executable( bn_test - bn_test.c + bn_test.cc ) target_link_libraries(bn_test crypto) diff --git a/crypto/bn/bn_test.c b/crypto/bn/bn_test.c deleted file mode 100644 index fb7ecc86..00000000 --- a/crypto/bn/bn_test.c +++ /dev/null @@ -1,1506 +0,0 @@ -/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) - * All rights reserved. - * - * This package is an SSL implementation written - * by Eric Young (eay@cryptsoft.com). - * The implementation was written so as to conform with Netscapes SSL. - * - * This library is free for commercial and non-commercial use as long as - * the following conditions are aheared to. The following conditions - * apply to all code found in this distribution, be it the RC4, RSA, - * lhash, DES, etc., code; not just the SSL code. The SSL documentation - * included with this distribution is covered by the same copyright terms - * except that the holder is Tim Hudson (tjh@cryptsoft.com). - * - * Copyright remains Eric Young's, and as such any Copyright notices in - * the code are not to be removed. - * If this package is used in a product, Eric Young should be given attribution - * as the author of the parts of the library used. - * This can be in the form of a textual message at program startup or - * in documentation (online or textual) provided with the package. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * 1. Redistributions of source code must retain the copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in the - * documentation and/or other materials provided with the distribution. - * 3. All advertising materials mentioning features or use of this software - * must display the following acknowledgement: - * "This product includes cryptographic software written by - * Eric Young (eay@cryptsoft.com)" - * The word 'cryptographic' can be left out if the rouines from the library - * being used are not cryptographic related :-). - * 4. If you include any Windows specific code (or a derivative thereof) from - * the apps directory (application code) you must include an acknowledgement: - * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" - * - * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND - * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE - * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL - * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS - * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY - * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF - * SUCH DAMAGE. - * - * The licence and distribution terms for any publically available version or - * derivative of this code cannot be changed. i.e. this code cannot simply be - * copied and put under another distribution licence - * [including the GNU Public Licence.] - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * Portions of the attached software ("Contribution") are developed by - * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. - * - * The Contribution is licensed pursuant to the Eric Young open source - * license provided above. - * - * The binary polynomial arithmetic software is originally written by - * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems - * Laboratories. */ - -#include -#include - -#include -#include -#include -#include -#include - -#include "internal.h" - - -static const int num0 = 100; /* number of tests */ -static const int num1 = 50; /* additional tests for some functions */ -static const int num2 = 5; /* number of tests for slow functions */ - -int test_add(BIO *bp); -int test_sub(BIO *bp); -int test_lshift1(BIO *bp); -int test_lshift(BIO *bp, BN_CTX *ctx, BIGNUM *a_); -int test_rshift1(BIO *bp); -int test_rshift(BIO *bp, BN_CTX *ctx); -int test_sqr(BIO *bp, BN_CTX *ctx); -int test_mul(BIO *bp); -int test_div(BIO *bp, BN_CTX *ctx); -int rand_neg(void); - -int test_div_word(BIO *bp); -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_mod_sqrt(BIO *bp, BN_CTX *ctx); -static int test_exp_mod_zero(void); -int test_small_prime(BIO *bp,BN_CTX *ctx); -int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx); -int test_sqrt(BIO *bp, BN_CTX *ctx); -int test_bn2bin_padded(BIO *bp, BN_CTX *ctx); -#if 0 -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); -#endif -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 void ERR_print_errors_fp(FILE *out) { -} - -static void message(BIO *out, char *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 = NULL; - char *outfile = NULL; - - CRYPTO_library_init(); - - results = 0; - - 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) { - return 1; - } - - out = BIO_new(BIO_s_file()); - if (out == NULL) { - return 1; - } - - if (outfile == NULL) { - BIO_set_fp(out, stdout, BIO_NOCLOSE); - } else { - if (!BIO_write_filename(out, outfile)) { - perror(outfile); - return 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_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) || - !test_mod_exp_mont5(out, ctx)) { - goto err; - } - (void)BIO_flush(out); - - message(out, "BN_exp"); - if (!test_exp(out, ctx) || - !test_exp_mod_zero()) { - goto err; - } - (void)BIO_flush(out); - - message(out, "BN_mod_sqrt"); - if (!test_mod_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); - - message(out, "BN_sqrt"); - if (!test_sqrt(out, ctx)) { - goto err; - } - (void)BIO_flush(out); - - message(out, "BN_bn2bin_padded"); - if (!test_bn2bin_padded(out, ctx)) { - goto err; - } - (void)BIO_flush(out); - - BN_CTX_free(ctx); - BIO_free(out); - - printf("PASS\n"); - return 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); - - return 1; -} - -int test_add(BIO *bp) { - BIGNUM a, b, c; - int i; - - BN_init(&a); - BN_init(&b); - BN_init(&c); - - BN_rand(&a, 512, 0, 0); - for (i = 0; i < num0; i++) { - BN_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_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_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_rand(&a, 400, 0, 0); - BN_copy(&b, &a); - BN_lshift(&a, &a, i); - BN_add_word(&a, i); - } else { - BN_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); -} - -int test_lshift1(BIO *bp) { - BIGNUM *a, *b, *c; - int i; - - a = BN_new(); - b = BN_new(); - c = BN_new(); - - BN_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_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_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 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_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_mul(BIO *bp) { - BIGNUM a, b, c, d, e; - int i; - BN_CTX *ctx; - - ctx = BN_CTX_new(); - if (ctx == NULL) { - abort(); - } - - 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_rand(&a, 100, 0, 0); - BN_rand(&b, 100, 0, 0); - } else { - BN_rand(&b, i - num1, 0, 0); - } - a.neg = rand_neg(); - b.neg = rand_neg(); - BN_mul(&c, &a, &b, ctx); - if (bp != NULL) { - if (!results) { - BN_print(bp, &a); - BIO_puts(bp, " * "); - BN_print(bp, &b); - BIO_puts(bp, " - "); - } - BN_print(bp, &c); - BIO_puts(bp, "\n"); - } - BN_div(&d, &e, &c, &a, ctx); - BN_sub(&d, &d, &b); - if (!BN_is_zero(&d) || !BN_is_zero(&e)) { - fprintf(stderr, "Multiplication test failed!\n"); - return 0; - } - } - BN_free(&a); - BN_free(&b); - BN_free(&c); - BN_free(&d); - BN_free(&e); - BN_CTX_free(ctx); - return (1); -} - -int test_sqr(BIO *bp, BN_CTX *ctx) { - BIGNUM *a, *c, *d, *e; - int i, ret = 0; - - a = BN_new(); - c = BN_new(); - d = BN_new(); - e = BN_new(); - if (a == NULL || c == NULL || d == NULL || e == NULL) { - goto err; - } - - for (i = 0; i < num0; i++) { - BN_rand(a, 40 + i * 10, 0, 0); - a->neg = rand_neg(); - BN_sqr(c, a, ctx); - if (bp != NULL) { - if (!results) { - BN_print(bp, a); - BIO_puts(bp, " * "); - BN_print(bp, a); - BIO_puts(bp, " - "); - } - BN_print(bp, c); - BIO_puts(bp, "\n"); - } - BN_div(d, e, c, a, ctx); - BN_sub(d, d, a); - if (!BN_is_zero(d) || !BN_is_zero(e)) { - fprintf(stderr, "Square test failed!\n"); - goto err; - } - } - - /* Regression test for a BN_sqr overflow bug. */ - BN_hex2bn(&a, - "80000000000000008000000000000001FFFFFFFFFFFFFFFE0000000000000000"); - BN_sqr(c, a, ctx); - if (bp != NULL) { - if (!results) { - BN_print(bp, a); - BIO_puts(bp, " * "); - BN_print(bp, a); - BIO_puts(bp, " - "); - } - BN_print(bp, c); - BIO_puts(bp, "\n"); - } - BN_mul(d, a, a, ctx); - if (BN_cmp(c, d)) { - fprintf(stderr, - "Square test failed: BN_sqr and BN_mul produce " - "different results!\n"); - goto err; - } - - /* Regression test for a BN_sqr overflow bug. */ - BN_hex2bn(&a, - "80000000000000000000000080000001FFFFFFFE000000000000000000000000"); - BN_sqr(c, a, ctx); - if (bp != NULL) { - if (!results) { - BN_print(bp, a); - BIO_puts(bp, " * "); - BN_print(bp, a); - BIO_puts(bp, " - "); - } - BN_print(bp, c); - BIO_puts(bp, "\n"); - } - BN_mul(d, a, a, ctx); - if (BN_cmp(c, d)) { - fprintf(stderr, - "Square test failed: BN_sqr and BN_mul produce " - "different results!\n"); - goto err; - } - ret = 1; - -err: - if (a != NULL) { - BN_free(a); - } - if (c != NULL) { - BN_free(c); - } - if (d != NULL) { - BN_free(d); - } - if (e != NULL) { - BN_free(e); - } - return ret; -} - - -int rand_neg(void) { - static unsigned int neg = 0; - static int sign[8] = {0, 0, 0, 1, 1, 0, 1, 1}; - - return (sign[(neg++) % 8]); -} - -static void print_word(BIO *bp, BN_ULONG 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_rand(&a, 512, -1, 0); - BN_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_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_rand(&a, 100, 0, 0); /**/ - BN_rand(&b, 100, 0, 0); /**/ - for (i = 0; i < num2; i++) { - int bits = (200 * (i + 1)) / num2; - - if (bits == 0) { - continue; - } - BN_rand(&n, bits, 0, 1); - BN_MONT_CTX_set(mont, &n, ctx); - - BN_nnmod(&a, &a, &n, ctx); - BN_nnmod(&b, &b, &n, ctx); - - BN_to_montgomery(&A, &a, mont, ctx); - BN_to_montgomery(&B, &b, mont, ctx); - - BN_mod_mul_montgomery(&c, &A, &B, mont, ctx); /**/ - BN_from_montgomery(&A, &c, mont, ctx); /**/ - if (bp != NULL) { - if (!results) { -#ifdef undef - fprintf(stderr, "%d * %d %% %d\n", BN_num_bits(&a), BN_num_bits(&b), - BN_num_bits(mont->N)); -#endif - BN_print(bp, &a); - BIO_puts(bp, " * "); - BN_print(bp, &b); - BIO_puts(bp, " % "); - BN_print(bp, &(mont->N)); - BIO_puts(bp, " - "); - } - BN_print(bp, &A); - BIO_puts(bp, "\n"); - } - BN_mod_mul(&d, &a, &b, &n, ctx); - BN_sub(&d, &d, &A); - if (!BN_is_zero(&d)) { - fprintf(stderr, "Montgomery multiplication test failed!\n"); - return 0; - } - } - BN_MONT_CTX_free(mont); - BN_free(&a); - BN_free(&b); - BN_free(&c); - BN_free(&d); - BN_free(&A); - BN_free(&B); - BN_free(&n); - return (1); -} - -int test_mod(BIO *bp, BN_CTX *ctx) { - BIGNUM *a, *b, *c, *d, *e; - int i; - - a = BN_new(); - b = BN_new(); - c = BN_new(); - d = BN_new(); - e = BN_new(); - - BN_rand(a, 1024, 0, 0); /**/ - for (i = 0; i < num0; i++) { - BN_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_rand(c, 1024, 0, 0); /**/ - for (i = 0; i < num0; i++) { - BN_rand(a, 475 + i * 10, 0, 0); /**/ - BN_rand(b, 425 + i * 11, 0, 0); /**/ - a->neg = rand_neg(); - b->neg = rand_neg(); - if (!BN_mod_mul(e, a, b, c, ctx)) { - uint32_t l; - - while ((l = ERR_get_error())) { - fprintf(stderr, "ERROR:%s\n", ERR_error_string(l, NULL)); - } - abort(); - } - 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_rand(c, 30, 0, 1); /* must be odd for montgomery */ - for (i = 0; i < num2; i++) { - BN_rand(a, 20 + i * 5, 0, 0); /**/ - BN_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_rand(c, 30, 0, 1); /* must be odd for montgomery */ - for (i = 0; i < num2; i++) { - BN_rand(a, 20 + i * 5, 0, 0); /**/ - BN_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_rand(m, 1024, 0, 1); /* must be odd for montgomery */ - /* Zero exponent */ - BN_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_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) || - !BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL) || - !BN_mod_exp(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_rand(e, 1024, 0, 0); - if (!BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL) || - !BN_mod_exp(a, e, p, m, ctx)) { - return 0; - } - if (BN_cmp(a, d) != 0) { - fprintf(stderr, "Modular exponentiation test failed!\n"); - return 0; - } - - BN_MONT_CTX_free(mont); - 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_rand(a, 20 + i * 5, 0, 0); /**/ - BN_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; -} - -/* test_exp_mod_zero tests that x**0 mod 1 == 0. */ -static int test_exp_mod_zero(void) { - BIGNUM a, p, m; - BIGNUM r; - BN_CTX *ctx = BN_CTX_new(); - int ret = 0; - - BN_init(&m); - BN_one(&m); - - BN_init(&a); - BN_one(&a); - - BN_init(&p); - BN_zero(&p); - - BN_init(&r); - BN_mod_exp(&r, &a, &p, &m, ctx); - BN_CTX_free(ctx); - - if (BN_is_zero(&r)) { - ret = 1; - } else { - printf("1**0 mod 1 = "); - BN_print_fp(stdout, &r); - printf(", should be 0\n"); - } - - BN_free(&r); - BN_free(&a); - BN_free(&p); - BN_free(&m); - - return ret; -} - -static int genprime_cb(int p, int n, BN_GENCB *arg) { - char c = '*'; - - if (p == 0) { - c = '.'; - } else if (p == 1) { - c = '+'; - } else if (p == 2) { - c = '*'; - } else if (p == 3) { - c = '\n'; - } - putc(c, stdout); - fflush(stdout); - return 1; -} - -int test_mod_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) || - !BN_set_word(r, 2 * i + 1)) { - goto err; - } - - if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb)) { - goto err; - } - putc('\n', stdout); - } - 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_rand(r, 256, 0, 3) || - !BN_nnmod(r, r, p, ctx) || - !BN_mod_sqr(r, r, p, ctx) || - !BN_rand(a, 256, 0, 3) || - !BN_nnmod(a, a, p, ctx) || - !BN_mod_sqr(a, a, p, ctx) || - !BN_mul(a, a, r, ctx)) { - goto err; - } - if (rand_neg() && !BN_sub(a, a, p)) { - goto err; - } - - if (!BN_mod_sqrt(r, a, p, ctx) || - !BN_mod_sqr(r, r, p, ctx) || - !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('.', stdout); - fflush(stdout); - } - - putc('\n', stdout); - 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; - - BN_init(&r); - 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_free(&r); - return ret; -} - -int test_sqrt(BIO *bp, BN_CTX *ctx) { - BIGNUM *n = BN_new(), *nn = BN_new(), *sqrt = BN_new(); - unsigned i; - - /* Test some random squares. */ - for (i = 0; i < 100; i++) { - if (!BN_rand(n, 1024 /* bit length */, -1 /* no modification of top bits */, - 0 /* don't modify bottom bit */) || - !BN_mul(nn, n, n, ctx) || - !BN_sqrt(sqrt, nn, ctx)) { - BIO_print_errors_fp(stderr); - return 0; - } - if (BN_cmp(n, sqrt) != 0) { - fprintf(stderr, "Bad result from BN_sqrt.\n"); - return 0; - } - } - - /* Test some non-squares */ - for (i = 0; i < 100; i++) { - if (!BN_rand(n, 1024 /* bit length */, -1 /* no modification of top bits */, - 0 /* don't modify bottom bit */) || - !BN_mul(nn, n, n, ctx) || - !BN_add(nn, nn, BN_value_one())) { - BIO_print_errors_fp(stderr); - return 0; - } - - if (BN_sqrt(sqrt, nn, ctx)) { - char *nn_str = BN_bn2dec(nn); - fprintf(stderr, "BIO_sqrt didn't fail on a non-square: %s\n", nn_str); - OPENSSL_free(nn_str); - } - } - - BN_free(n); - BN_free(sqrt); - BN_free(nn); - - return 1; -} - -int test_bn2bin_padded(BIO *bp, BN_CTX *ctx) { - BIGNUM *n = BN_new(); - uint8_t zeros[256], out[256], reference[128]; - size_t bytes; - - memset(zeros, 0, sizeof(zeros)); - - /* Test edge case at 0. */ - if (!BN_bn2bin_padded(NULL, 0, n)) { - fprintf(stderr, - "BN_bn2bin_padded failed to encode 0 in an empty buffer.\n"); - return 0; - } - memset(out, -1, sizeof(out)); - if (!BN_bn2bin_padded(out, sizeof(out), n)) { - fprintf(stderr, - "BN_bn2bin_padded failed to encode 0 in a non-empty buffer.\n"); - return 0; - } - if (memcmp(zeros, out, sizeof(out))) { - fprintf(stderr, "BN_bn2bin_padded did not zero buffer.\n"); - return 0; - } - - /* Test a random numbers at various byte lengths. */ - for (bytes = 128 - 7; bytes <= 128; bytes++) { - if (!BN_rand(n, bytes * 8, 0 /* make sure top bit is 1 */, - 0 /* don't modify bottom bit */)) { - BIO_print_errors_fp(stderr); - return 0; - } - if (BN_num_bytes(n) != bytes || BN_bn2bin(n, reference) != bytes) { - fprintf(stderr, "Bad result from BN_rand; bytes.\n"); - return 0; - } - /* Empty buffer should fail. */ - if (BN_bn2bin_padded(NULL, 0, n)) { - fprintf(stderr, - "BN_bn2bin_padded incorrectly succeeded on empty buffer.\n"); - return 0; - } - /* One byte short should fail. */ - if (BN_bn2bin_padded(out, bytes - 1, n)) { - fprintf(stderr, "BN_bn2bin_padded incorrectly succeeded on short.\n"); - return 0; - } - /* Exactly right size should encode. */ - if (!BN_bn2bin_padded(out, bytes, n) || - memcmp(out, reference, bytes) != 0) { - fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n"); - return 0; - } - /* Pad up one byte extra. */ - if (!BN_bn2bin_padded(out, bytes + 1, n) || - memcmp(out + 1, reference, bytes) || memcmp(out, zeros, 1)) { - fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n"); - return 0; - } - /* Pad up to 256. */ - if (!BN_bn2bin_padded(out, sizeof(out), n) || - memcmp(out + sizeof(out) - bytes, reference, bytes) || - memcmp(out, zeros, sizeof(out) - bytes)) { - fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n"); - return 0; - } - } - - BN_free(n); - - return 1; -} diff --git a/crypto/bn/bn_test.cc b/crypto/bn/bn_test.cc new file mode 100644 index 00000000..a1f294d7 --- /dev/null +++ b/crypto/bn/bn_test.cc @@ -0,0 +1,1424 @@ +/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) + * All rights reserved. + * + * This package is an SSL implementation written + * by Eric Young (eay@cryptsoft.com). + * The implementation was written so as to conform with Netscapes SSL. + * + * This library is free for commercial and non-commercial use as long as + * the following conditions are aheared to. The following conditions + * apply to all code found in this distribution, be it the RC4, RSA, + * lhash, DES, etc., code; not just the SSL code. The SSL documentation + * included with this distribution is covered by the same copyright terms + * except that the holder is Tim Hudson (tjh@cryptsoft.com). + * + * Copyright remains Eric Young's, and as such any Copyright notices in + * the code are not to be removed. + * If this package is used in a product, Eric Young should be given attribution + * as the author of the parts of the library used. + * This can be in the form of a textual message at program startup or + * in documentation (online or textual) provided with the package. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. All advertising materials mentioning features or use of this software + * must display the following acknowledgement: + * "This product includes cryptographic software written by + * Eric Young (eay@cryptsoft.com)" + * The word 'cryptographic' can be left out if the rouines from the library + * being used are not cryptographic related :-). + * 4. If you include any Windows specific code (or a derivative thereof) from + * the apps directory (application code) you must include an acknowledgement: + * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" + * + * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * The licence and distribution terms for any publically available version or + * derivative of this code cannot be changed. i.e. this code cannot simply be + * copied and put under another distribution licence + * [including the GNU Public Licence.] + */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the Eric Young open source + * license provided above. + * + * The binary polynomial arithmetic software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems + * Laboratories. */ + +#include +#include + +#include +#include +#include +#include +#include + +#include "../crypto/test/scoped_types.h" +#include "internal.h" + + +static const int num0 = 100; // number of tests +static const int num1 = 50; // additional tests for some functions +static const int num2 = 5; // number of tests for slow functions + +static bool test_add(BIO *bp); +static bool test_sub(BIO *bp); +static bool test_lshift1(BIO *bp); +static bool test_lshift(BIO *bp, BN_CTX *ctx, ScopedBIGNUM a); +static bool test_rshift1(BIO *bp); +static bool test_rshift(BIO *bp, BN_CTX *ctx); +static bool test_sqr(BIO *bp, BN_CTX *ctx); +static bool test_mul(BIO *bp); +static bool test_div(BIO *bp, BN_CTX *ctx); +static int rand_neg(); + +static bool test_div_word(BIO *bp); +static bool test_mont(BIO *bp, BN_CTX *ctx); +static bool test_mod(BIO *bp, BN_CTX *ctx); +static bool test_mod_mul(BIO *bp, BN_CTX *ctx); +static bool test_mod_exp(BIO *bp, BN_CTX *ctx); +static bool test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx); +static bool test_exp(BIO *bp, BN_CTX *ctx); +static bool test_mod_sqrt(BIO *bp, BN_CTX *ctx); +static bool test_exp_mod_zero(void); +static bool test_small_prime(BIO *bp, BN_CTX *ctx); +static bool test_mod_exp_mont5(BIO *bp, BN_CTX *ctx); +static bool test_sqrt(BIO *bp, BN_CTX *ctx); +static bool test_bn2bin_padded(BIO *bp, BN_CTX *ctx); + +// g_results can be set to true to cause the result of each computation to be +// printed. +static bool g_results = false; + +static const uint8_t kSample[] = + "\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 void message(BIO *out, const char *m) { + BIO_puts(out, "print \"test "); + BIO_puts(out, m); + BIO_puts(out, "\\n\"\n"); +} + +int main(int argc, char *argv[]) { + char *outfile = NULL; + + CRYPTO_library_init(); + + argc--; + argv++; + while (argc >= 1) { + if (strcmp(*argv, "-results") == 0) { + g_results = true; + } else if (strcmp(*argv, "-out") == 0) { + if (--argc < 1) { + break; + } + outfile = *(++argv); + } + argc--; + argv++; + } + + + ScopedBN_CTX ctx(BN_CTX_new()); + if (!ctx) { + return 1; + } + + ScopedBIO out(BIO_new(BIO_s_file())); + if (!out) { + return 1; + } + + if (outfile == NULL) { + BIO_set_fp(out.get(), stdout, BIO_NOCLOSE); + } else { + if (!BIO_write_filename(out.get(), outfile)) { + perror(outfile); + return 1; + } + } + + if (!g_results) { + BIO_puts(out.get(), "obase=16\nibase=16\n"); + } + + message(out.get(), "BN_add"); + if (!test_add(out.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_sub"); + if (!test_sub(out.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_lshift1"); + if (!test_lshift1(out.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_lshift (fixed)"); + ScopedBIGNUM sample(BN_bin2bn(kSample, sizeof(kSample) - 1, NULL)); + if (!sample) { + return 1; + } + if (!test_lshift(out.get(), ctx.get(), bssl::move(sample))) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_lshift"); + if (!test_lshift(out.get(), ctx.get(), nullptr)) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_rshift1"); + if (!test_rshift1(out.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_rshift"); + if (!test_rshift(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_sqr"); + if (!test_sqr(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mul"); + if (!test_mul(out.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_div"); + if (!test_div(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_div_word"); + if (!test_div_word(out.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mod"); + if (!test_mod(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mod_mul"); + if (!test_mod_mul(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mont"); + if (!test_mont(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mod_exp"); + if (!test_mod_exp(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mod_exp_mont_consttime"); + if (!test_mod_exp_mont_consttime(out.get(), ctx.get()) || + !test_mod_exp_mont5(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_exp"); + if (!test_exp(out.get(), ctx.get()) || + !test_exp_mod_zero()) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_mod_sqrt"); + if (!test_mod_sqrt(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "Small prime generation"); + if (!test_small_prime(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_sqrt"); + if (!test_sqrt(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + message(out.get(), "BN_bn2bin_padded"); + if (!test_bn2bin_padded(out.get(), ctx.get())) { + return 1; + } + (void)BIO_flush(out.get()); + + printf("PASS\n"); + return 0; +} + +static bool test_add(BIO *bp) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + if (!a || !b || !c || !BN_rand(a.get(), 512, 0, 0)) { + return false; + } + + for (int i = 0; i < num0; i++) { + if (!BN_rand(b.get(), 450 + i, 0, 0)) { + return false; + } + a->neg = rand_neg(); + b->neg = rand_neg(); + if (!BN_add(c.get(), a.get(), b.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " + "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + a->neg = !a->neg; + b->neg = !b->neg; + if (!BN_add(c.get(), c.get(), b.get()) || + !BN_add(c.get(), c.get(), a.get())) { + return false; + } + if (!BN_is_zero(c.get())) { + fprintf(stderr, "Add test failed!\n"); + return false; + } + } + return true; +} + +static bool test_sub(BIO *bp) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + if (!a || !b || !c) { + return false; + } + + for (int i = 0; i < num0 + num1; i++) { + if (i < num1) { + if (!BN_rand(a.get(), 512, 0, 0) || + !BN_copy(b.get(), a.get()) || + !BN_set_bit(a.get(), i) || + !BN_add_word(b.get(), i)) { + return false; + } + } else { + if (!BN_rand(b.get(), 400 + i - num1, 0, 0)) { + return false; + } + a->neg = rand_neg(); + b->neg = rand_neg(); + } + if (!BN_sub(c.get(), a.get(), b.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " - "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_add(c.get(), c.get(), b.get()) || + !BN_sub(c.get(), c.get(), a.get())) { + return false; + } + if (!BN_is_zero(c.get())) { + fprintf(stderr, "Subtract test failed!\n"); + return false; + } + } + return true; +} + +static bool test_div(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !c || !d || !e) { + return false; + } + + for (int i = 0; i < num0 + num1; i++) { + if (i < num1) { + if (!BN_rand(a.get(), 400, 0, 0) || + !BN_copy(b.get(), a.get()) || + !BN_lshift(a.get(), a.get(), i) || + !BN_add_word(a.get(), i)) { + return false; + } + } else if (!BN_rand(b.get(), 50 + 3 * (i - num1), 0, 0)) { + return false; + } + a->neg = rand_neg(); + b->neg = rand_neg(); + if (!BN_div(d.get(), c.get(), a.get(), b.get(), ctx)) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " / "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, d.get()); + BIO_puts(bp, "\n"); + + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " % "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_mul(e.get(), d.get(), b.get(), ctx) || + !BN_add(d.get(), e.get(), c.get()) || + !BN_sub(d.get(), d.get(), a.get())) { + return false; + } + if (!BN_is_zero(d.get())) { + fprintf(stderr, "Division test failed!\n"); + return false; + } + } + return true; +} + +static bool test_lshift1(BIO *bp) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + if (!a || !b || !c || !BN_rand(a.get(), 200, 0, 0)) { + return false; + } + a->neg = rand_neg(); + for (int i = 0; i < num0; i++) { + if (!BN_lshift1(b.get(), a.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * 2"); + BIO_puts(bp, " - "); + } + BN_print(bp, b.get()); + BIO_puts(bp, "\n"); + } + if (!BN_add(c.get(), a.get(), a.get()) || + !BN_sub(a.get(), b.get(), c.get())) { + return false; + } + if (!BN_is_zero(a.get())) { + fprintf(stderr, "Left shift one test failed!\n"); + return false; + } + + if (!BN_copy(a.get(), b.get())) { + return false; + } + } + return true; +} + +static bool test_rshift(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !c || !d || !e || !BN_one(c.get()) || + !BN_rand(a.get(), 200, 0, 0)) { + return false; + } + a->neg = rand_neg(); + for (int i = 0; i < num0; i++) { + if (!BN_rshift(b.get(), a.get(), i + 1) || + !BN_add(c.get(), c.get(), c.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " / "); + BN_print(bp, c.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, b.get()); + BIO_puts(bp, "\n"); + } + if (!BN_div(d.get(), e.get(), a.get(), c.get(), ctx) || + !BN_sub(d.get(), d.get(), b.get())) { + return false; + } + if (!BN_is_zero(d.get())) { + fprintf(stderr, "Right shift test failed!\n"); + return false; + } + } + return true; +} + +static bool test_rshift1(BIO *bp) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + if (!a || !b || !c || !BN_rand(a.get(), 200, 0, 0)) { + return false; + } + a->neg = rand_neg(); + + for (int i = 0; i < num0; i++) { + if (!BN_rshift1(b.get(), a.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " / 2"); + BIO_puts(bp, " - "); + } + BN_print(bp, b.get()); + BIO_puts(bp, "\n"); + } + if (!BN_sub(c.get(), a.get(), b.get()) || + !BN_sub(c.get(), c.get(), b.get())) { + return false; + } + if (!BN_is_zero(c.get()) && !BN_abs_is_word(c.get(), 1)) { + fprintf(stderr, "Right shift one test failed!\n"); + return false; + } + if (!BN_copy(a.get(), b.get())) { + return false; + } + } + return true; +} + +static bool test_lshift(BIO *bp, BN_CTX *ctx, ScopedBIGNUM a) { + if (!a) { + a.reset(BN_new()); + if (!a || !BN_rand(a.get(), 200, 0, 0)) { + return false; + } + a->neg = rand_neg(); + } + + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + if (!b || !c || !d || !BN_one(c.get())) { + return false; + } + + for (int i = 0; i < num0; i++) { + if (!BN_lshift(b.get(), a.get(), i + 1) || + !BN_add(c.get(), c.get(), c.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, c.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, b.get()); + BIO_puts(bp, "\n"); + } + if (!BN_mul(d.get(), a.get(), c.get(), ctx) || + !BN_sub(d.get(), d.get(), b.get())) { + return false; + } + if (!BN_is_zero(d.get())) { + fprintf(stderr, "Left shift test failed!\n"); + fprintf(stderr, "a="); + BN_print_fp(stderr, a.get()); + fprintf(stderr, "\nb="); + BN_print_fp(stderr, b.get()); + fprintf(stderr, "\nc="); + BN_print_fp(stderr, c.get()); + fprintf(stderr, "\nd="); + BN_print_fp(stderr, d.get()); + fprintf(stderr, "\n"); + return false; + } + } + return true; +} + +static bool test_mul(BIO *bp) { + ScopedBN_CTX ctx(BN_CTX_new()); + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!ctx || !a || !b || !c || !d || !e) { + return false; + } + + for (int i = 0; i < num0 + num1; i++) { + if (i <= num1) { + if (!BN_rand(a.get(), 100, 0, 0) || + !BN_rand(b.get(), 100, 0, 0)) { + return false; + } + } else if (!BN_rand(b.get(), i - num1, 0, 0)) { + return false; + } + a->neg = rand_neg(); + b->neg = rand_neg(); + if (!BN_mul(c.get(), a.get(), b.get(), ctx.get())) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_div(d.get(), e.get(), c.get(), a.get(), ctx.get()) || + !BN_sub(d.get(), d.get(), b.get())) { + return false; + } + if (!BN_is_zero(d.get()) || !BN_is_zero(e.get())) { + fprintf(stderr, "Multiplication test failed!\n"); + return false; + } + } + return true; +} + +static bool test_sqr(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !c || !d || !e) { + return false; + } + + for (int i = 0; i < num0; i++) { + if (!BN_rand(a.get(), 40 + i * 10, 0, 0)) { + return false; + } + a->neg = rand_neg(); + if (!BN_sqr(c.get(), a.get(), ctx)) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, a.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_div(d.get(), e.get(), c.get(), a.get(), ctx) || + !BN_sub(d.get(), d.get(), a.get())) { + return false; + } + if (!BN_is_zero(d.get()) || !BN_is_zero(e.get())) { + fprintf(stderr, "Square test failed!\n"); + return false; + } + } + + // Regression test for a BN_sqr overflow bug. + BIGNUM *a_raw = a.get(); + if (!BN_hex2bn( + &a_raw, + "80000000000000008000000000000001FFFFFFFFFFFFFFFE0000000000000000") || + !BN_sqr(c.get(), a.get(), ctx)) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, a.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_mul(d.get(), a.get(), a.get(), ctx)) { + return false; + } + if (BN_cmp(c.get(), d.get())) { + fprintf(stderr, + "Square test failed: BN_sqr and BN_mul produce " + "different results!\n"); + return false; + } + + // Regression test for a BN_sqr overflow bug. + a_raw = a.get(); + if (!BN_hex2bn( + &a_raw, + "80000000000000000000000080000001FFFFFFFE000000000000000000000000") || + !BN_sqr(c.get(), a.get(), ctx)) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, a.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_mul(d.get(), a.get(), a.get(), ctx)) { + return false; + } + if (BN_cmp(c.get(), d.get())) { + fprintf(stderr, + "Square test failed: BN_sqr and BN_mul produce " + "different results!\n"); + return false; + } + + return true; +} + + +static int rand_neg() { + static unsigned int neg = 0; + static const int sign[8] = {0, 0, 0, 1, 1, 0, 1, 1}; + + return sign[(neg++) % 8]; +} + +static void print_word(BIO *bp, BN_ULONG w) { + BIO_printf(bp, BN_HEX_FMT1, w); +} + +static bool test_div_word(BIO *bp) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + if (!a || !b) { + return false; + } + + for (int i = 0; i < num0; i++) { + BN_ULONG s; + do { + if (!BN_rand(a.get(), 512, -1, 0) || + !BN_rand(b.get(), BN_BITS2, -1, 0)) { + return false; + } + s = b->d[0]; + } while (!s); + + if (!BN_copy(b.get(), a.get())) { + return false; + } + BN_ULONG r = BN_div_word(b.get(), s); + if (r == (BN_ULONG)-1) { + return false; + } + + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " / "); + print_word(bp, s); + BIO_puts(bp, " - "); + } + BN_print(bp, b.get()); + BIO_puts(bp, "\n"); + + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " % "); + print_word(bp, s); + BIO_puts(bp, " - "); + } + print_word(bp, r); + BIO_puts(bp, "\n"); + } + if (!BN_mul_word(b.get(), s) || + !BN_add_word(b.get(), r) || + !BN_sub(b.get(), a.get(), b.get())) { + return false; + } + if (!BN_is_zero(b.get())) { + fprintf(stderr, "Division (word) test failed!\n"); + return false; + } + } + return true; +} + +static bool test_mont(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM A(BN_new()); + ScopedBIGNUM B(BN_new()); + ScopedBIGNUM n(BN_new()); + ScopedBN_MONT_CTX mont(BN_MONT_CTX_new()); + if (!a || !b || !c || !d || !A || !B || !n || !mont || + !BN_rand(a.get(), 100, 0, 0) || + !BN_rand(b.get(), 100, 0, 0)) { + return false; + } + + for (int i = 0; i < num2; i++) { + int bits = (200 * (i + 1)) / num2; + + if (bits == 0) { + continue; + } + if (!BN_rand(n.get(), bits, 0, 1) || + !BN_MONT_CTX_set(mont.get(), n.get(), ctx) || + !BN_nnmod(a.get(), a.get(), n.get(), ctx) || + !BN_nnmod(b.get(), b.get(), n.get(), ctx) || + !BN_to_montgomery(A.get(), a.get(), mont.get(), ctx) || + !BN_to_montgomery(B.get(), b.get(), mont.get(), ctx) || + !BN_mod_mul_montgomery(c.get(), A.get(), B.get(), mont.get(), ctx) || + !BN_from_montgomery(A.get(), c.get(), mont.get(), ctx)) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, b.get()); + BIO_puts(bp, " % "); + BN_print(bp, &mont->N); + BIO_puts(bp, " - "); + } + BN_print(bp, A.get()); + BIO_puts(bp, "\n"); + } + if (!BN_mod_mul(d.get(), a.get(), b.get(), n.get(), ctx) || + !BN_sub(d.get(), d.get(), A.get())) { + return false; + } + if (!BN_is_zero(d.get())) { + fprintf(stderr, "Montgomery multiplication test failed!\n"); + return false; + } + } + return true; +} + +static bool test_mod(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !c || !d || !e || + !BN_rand(a.get(), 1024, 0, 0)) { + return false; + } + + for (int i = 0; i < num0; i++) { + if (!BN_rand(b.get(), 450 + i * 10, 0, 0)) { + return false; + } + a->neg = rand_neg(); + b->neg = rand_neg(); + if (!BN_mod(c.get(), a.get(), b.get(), ctx)) { + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " % "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, c.get()); + BIO_puts(bp, "\n"); + } + if (!BN_div(d.get(), e.get(), a.get(), b.get(), ctx) || + !BN_sub(e.get(), e.get(), c.get())) { + return false; + } + if (!BN_is_zero(e.get())) { + fprintf(stderr, "Modulo test failed!\n"); + return false; + } + } + return true; +} + +static bool test_mod_mul(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !c || !d || !e) { + return false; + } + + for (int j = 0; j < 3; j++) { + if (!BN_rand(c.get(), 1024, 0, 0)) { + return false; + } + for (int i = 0; i < num0; i++) { + if (!BN_rand(a.get(), 475 + i * 10, 0, 0) || + !BN_rand(b.get(), 425 + i * 11, 0, 0)) { + return false; + } + a->neg = rand_neg(); + b->neg = rand_neg(); + if (!BN_mod_mul(e.get(), a.get(), b.get(), c.get(), ctx)) { + BIO_print_errors_fp(stderr); + return false; + } + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " * "); + BN_print(bp, b.get()); + BIO_puts(bp, " % "); + BN_print(bp, c.get()); + if (a->neg != b->neg && !BN_is_zero(e.get())) { + // 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.get()); + } + BIO_puts(bp, " - "); + } + BN_print(bp, e.get()); + BIO_puts(bp, "\n"); + } + if (!BN_mul(d.get(), a.get(), b.get(), ctx) || + !BN_sub(d.get(), d.get(), e.get()) || + !BN_div(a.get(), b.get(), d.get(), c.get(), ctx)) { + return false; + } + if (!BN_is_zero(b.get())) { + fprintf(stderr, "Modulo multiply test failed!\n"); + BIO_print_errors_fp(stderr); + return false; + } + } + } + return true; +} + +static bool test_mod_exp(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !c || !d || !e || + !BN_rand(c.get(), 30, 0, 1)) { // must be odd for montgomery + return false; + } + for (int i = 0; i < num2; i++) { + if (!BN_rand(a.get(), 20 + i * 5, 0, 0) || + !BN_rand(b.get(), 2 + i, 0, 0) || + !BN_mod_exp(d.get(), a.get(), b.get(), c.get(), ctx)) { + return false; + } + + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " ^ "); + BN_print(bp, b.get()); + BIO_puts(bp, " % "); + BN_print(bp, c.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, d.get()); + BIO_puts(bp, "\n"); + } + if (!BN_exp(e.get(), a.get(), b.get(), ctx) || + !BN_sub(e.get(), e.get(), d.get()) || + !BN_div(a.get(), b.get(), e.get(), c.get(), ctx)) { + return false; + } + if (!BN_is_zero(b.get())) { + fprintf(stderr, "Modulo exponentiation test failed!\n"); + return false; + } + } + return true; +} + +static bool test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM c(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !c || !d || !e || + !BN_rand(c.get(), 30, 0, 1)) { // must be odd for montgomery + return false; + } + for (int i = 0; i < num2; i++) { + if (!BN_rand(a.get(), 20 + i * 5, 0, 0) || + !BN_rand(b.get(), 2 + i, 0, 0) || + !BN_mod_exp_mont_consttime(d.get(), a.get(), b.get(), c.get(), ctx, + NULL)) { + return false; + } + + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " ^ "); + BN_print(bp, b.get()); + BIO_puts(bp, " % "); + BN_print(bp, c.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, d.get()); + BIO_puts(bp, "\n"); + } + if (!BN_exp(e.get(), a.get(), b.get(), ctx) || + !BN_sub(e.get(), e.get(), d.get()) || + !BN_div(a.get(), b.get(), e.get(), c.get(), ctx)) { + return false; + } + if (!BN_is_zero(b.get())) { + fprintf(stderr, "Modulo exponentiation test failed!\n"); + return false; + } + } + return true; +} + +// Test constant-time modular exponentiation with 1024-bit inputs, +// which on x86_64 cause a different code branch to be taken. +static bool test_mod_exp_mont5(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM p(BN_new()); + ScopedBIGNUM m(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !p || !m || !d || !e || + !BN_rand(m.get(), 1024, 0, 1) || // must be odd for montgomery + !BN_rand(a.get(), 1024, 0, 0)) { + return false; + } + // Zero exponent. + BN_zero(p.get()); + if (!BN_mod_exp_mont_consttime(d.get(), a.get(), p.get(), m.get(), ctx, + NULL)) { + return false; + } + if (!BN_is_one(d.get())) { + fprintf(stderr, "Modular exponentiation test failed!\n"); + return false; + } + if (!BN_rand(p.get(), 1024, 0, 0)) { + return false; + } + // Zero input. + BN_zero(a.get()); + if (!BN_mod_exp_mont_consttime(d.get(), a.get(), p.get(), m.get(), ctx, + NULL)) { + return false; + } + if (!BN_is_zero(d.get())) { + fprintf(stderr, "Modular exponentiation test failed!\n"); + return false; + } + // 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. + ScopedBN_MONT_CTX mont(BN_MONT_CTX_new()); + if (!mont || !BN_one(a.get()) || + !BN_MONT_CTX_set(mont.get(), m.get(), ctx) || + !BN_from_montgomery(e.get(), a.get(), mont.get(), ctx) || + !BN_mod_exp_mont_consttime(d.get(), e.get(), p.get(), m.get(), ctx, + NULL) || + !BN_mod_exp(a.get(), e.get(), p.get(), m.get(), ctx)) { + return false; + } + if (BN_cmp(a.get(), d.get()) != 0) { + fprintf(stderr, "Modular exponentiation test failed!\n"); + return false; + } + // Finally, some regular test vectors. + if (!BN_rand(e.get(), 1024, 0, 0) || + !BN_mod_exp_mont_consttime(d.get(), e.get(), p.get(), m.get(), ctx, + NULL) || + !BN_mod_exp(a.get(), e.get(), p.get(), m.get(), ctx)) { + return false; + } + if (BN_cmp(a.get(), d.get()) != 0) { + fprintf(stderr, "Modular exponentiation test failed!\n"); + return false; + } + + return true; +} + +static bool test_exp(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM b(BN_new()); + ScopedBIGNUM d(BN_new()); + ScopedBIGNUM e(BN_new()); + if (!a || !b || !d || !e) { + return false; + } + + for (int i = 0; i < num2; i++) { + if (!BN_rand(a.get(), 20 + i * 5, 0, 0) || + !BN_rand(b.get(), 2 + i, 0, 0) || + !BN_exp(d.get(), a.get(), b.get(), ctx)) { + return false; + } + + if (bp != NULL) { + if (!g_results) { + BN_print(bp, a.get()); + BIO_puts(bp, " ^ "); + BN_print(bp, b.get()); + BIO_puts(bp, " - "); + } + BN_print(bp, d.get()); + BIO_puts(bp, "\n"); + } + if (!BN_one(e.get())) { + return false; + } + for (; !BN_is_zero(b.get()); BN_sub(b.get(), b.get(), BN_value_one())) { + if (!BN_mul(e.get(), e.get(), a.get(), ctx)) { + return false; + } + } + if (!BN_sub(e.get(), e.get(), d.get())) { + return false; + } + if (!BN_is_zero(e.get())) { + fprintf(stderr, "Exponentiation test failed!\n"); + return false; + } + } + return true; +} + +// test_exp_mod_zero tests that 1**0 mod 1 == 0. +static bool test_exp_mod_zero(void) { + ScopedBIGNUM zero(BN_new()); + if (!zero) { + return false; + } + BN_zero(zero.get()); + + ScopedBN_CTX ctx(BN_CTX_new()); + ScopedBIGNUM r(BN_new()); + if (!ctx || !r || + !BN_mod_exp(r.get(), BN_value_one(), zero.get(), BN_value_one(), ctx.get())) { + return false; + } + + if (!BN_is_zero(r.get())) { + printf("1**0 mod 1 = "); + BN_print_fp(stdout, r.get()); + printf(", should be 0\n"); + return false; + } + + return true; +} + +static int genprime_cb(int p, int n, BN_GENCB *arg) { + char c = '*'; + + if (p == 0) { + c = '.'; + } else if (p == 1) { + c = '+'; + } else if (p == 2) { + c = '*'; + } else if (p == 3) { + c = '\n'; + } + putc(c, stdout); + fflush(stdout); + return 1; +} + +static bool test_mod_sqrt(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM a(BN_new()); + ScopedBIGNUM p(BN_new()); + ScopedBIGNUM r(BN_new()); + if (!a || !p || !r) { + return false; + } + + BN_GENCB cb; + BN_GENCB_set(&cb, genprime_cb, NULL); + + for (int i = 0; i < 16; i++) { + if (i < 8) { + const unsigned kPrimes[8] = {2, 3, 5, 7, 11, 13, 17, 19}; + if (!BN_set_word(p.get(), kPrimes[i])) { + return false; + } + } else { + if (!BN_set_word(a.get(), 32) || + !BN_set_word(r.get(), 2 * i + 1) || + !BN_generate_prime_ex(p.get(), 256, 0, a.get(), r.get(), &cb)) { + return false; + } + putc('\n', stdout); + } + p->neg = rand_neg(); + + for (int 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_rand(r.get(), 256, 0, 3) || + !BN_nnmod(r.get(), r.get(), p.get(), ctx) || + !BN_mod_sqr(r.get(), r.get(), p.get(), ctx) || + !BN_rand(a.get(), 256, 0, 3) || + !BN_nnmod(a.get(), a.get(), p.get(), ctx) || + !BN_mod_sqr(a.get(), a.get(), p.get(), ctx) || + !BN_mul(a.get(), a.get(), r.get(), ctx)) { + return false; + } + if (rand_neg() && !BN_sub(a.get(), a.get(), p.get())) { + return false; + } + + if (!BN_mod_sqrt(r.get(), a.get(), p.get(), ctx) || + !BN_mod_sqr(r.get(), r.get(), p.get(), ctx) || + !BN_nnmod(a.get(), a.get(), p.get(), ctx)) { + return false; + } + + if (BN_cmp(a.get(), r.get()) != 0) { + fprintf(stderr, "BN_mod_sqrt failed: a = "); + BN_print_fp(stderr, a.get()); + fprintf(stderr, ", r = "); + BN_print_fp(stderr, r.get()); + fprintf(stderr, ", p = "); + BN_print_fp(stderr, p.get()); + fprintf(stderr, "\n"); + return false; + } + + putc('.', stdout); + fflush(stdout); + } + + putc('\n', stdout); + fflush(stderr); + } + return true; +} + +static bool test_small_prime(BIO *bp, BN_CTX *ctx) { + static const int kBits = 10; + + ScopedBIGNUM r(BN_new()); + if (!r || !BN_generate_prime_ex(r.get(), kBits, 0, NULL, NULL, NULL)) { + return false; + } + if (BN_num_bits(r.get()) != kBits) { + BIO_printf(bp, "Expected %d bit prime, got %d bit number\n", kBits, + BN_num_bits(r.get())); + return false; + } + + return true; +} + +static bool test_sqrt(BIO *bp, BN_CTX *ctx) { + ScopedBIGNUM n(BN_new()); + ScopedBIGNUM nn(BN_new()); + ScopedBIGNUM sqrt(BN_new()); + if (!n || !nn || !sqrt) { + return false; + } + + // Test some random squares. + for (int i = 0; i < 100; i++) { + if (!BN_rand(n.get(), 1024 /* bit length */, + -1 /* no modification of top bits */, + 0 /* don't modify bottom bit */) || + !BN_mul(nn.get(), n.get(), n.get(), ctx) || + !BN_sqrt(sqrt.get(), nn.get(), ctx)) { + BIO_print_errors_fp(stderr); + return false; + } + if (BN_cmp(n.get(), sqrt.get()) != 0) { + fprintf(stderr, "Bad result from BN_sqrt.\n"); + return false; + } + } + + // Test some non-squares. + for (int i = 0; i < 100; i++) { + if (!BN_rand(n.get(), 1024 /* bit length */, + -1 /* no modification of top bits */, + 0 /* don't modify bottom bit */) || + !BN_mul(nn.get(), n.get(), n.get(), ctx) || + !BN_add(nn.get(), nn.get(), BN_value_one())) { + BIO_print_errors_fp(stderr); + return false; + } + + if (BN_sqrt(sqrt.get(), nn.get(), ctx)) { + char *nn_str = BN_bn2dec(nn.get()); + fprintf(stderr, "BIO_sqrt didn't fail on a non-square: %s\n", nn_str); + OPENSSL_free(nn_str); + } + } + + return true; +} + +static bool test_bn2bin_padded(BIO *bp, BN_CTX *ctx) { + uint8_t zeros[256], out[256], reference[128]; + + memset(zeros, 0, sizeof(zeros)); + + // Test edge case at 0. + ScopedBIGNUM n(BN_new()); + if (!n || !BN_bn2bin_padded(NULL, 0, n.get())) { + fprintf(stderr, + "BN_bn2bin_padded failed to encode 0 in an empty buffer.\n"); + return false; + } + memset(out, -1, sizeof(out)); + if (!BN_bn2bin_padded(out, sizeof(out), n.get())) { + fprintf(stderr, + "BN_bn2bin_padded failed to encode 0 in a non-empty buffer.\n"); + return false; + } + if (memcmp(zeros, out, sizeof(out))) { + fprintf(stderr, "BN_bn2bin_padded did not zero buffer.\n"); + return false; + } + + // Test a random numbers at various byte lengths. + for (size_t bytes = 128 - 7; bytes <= 128; bytes++) { + if (!BN_rand(n.get(), bytes * 8, 0 /* make sure top bit is 1 */, + 0 /* don't modify bottom bit */)) { + BIO_print_errors_fp(stderr); + return false; + } + if (BN_num_bytes(n.get()) != bytes || + BN_bn2bin(n.get(), reference) != bytes) { + fprintf(stderr, "Bad result from BN_rand; bytes.\n"); + return false; + } + // Empty buffer should fail. + if (BN_bn2bin_padded(NULL, 0, n.get())) { + fprintf(stderr, + "BN_bn2bin_padded incorrectly succeeded on empty buffer.\n"); + return false; + } + // One byte short should fail. + if (BN_bn2bin_padded(out, bytes - 1, n.get())) { + fprintf(stderr, "BN_bn2bin_padded incorrectly succeeded on short.\n"); + return false; + } + // Exactly right size should encode. + if (!BN_bn2bin_padded(out, bytes, n.get()) || + memcmp(out, reference, bytes) != 0) { + fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n"); + return false; + } + // Pad up one byte extra. + if (!BN_bn2bin_padded(out, bytes + 1, n.get()) || + memcmp(out + 1, reference, bytes) || memcmp(out, zeros, 1)) { + fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n"); + return false; + } + // Pad up to 256. + if (!BN_bn2bin_padded(out, sizeof(out), n.get()) || + memcmp(out + sizeof(out) - bytes, reference, bytes) || + memcmp(out, zeros, sizeof(out) - bytes)) { + fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n"); + return false; + } + } + + return true; +} diff --git a/crypto/test/scoped_types.h b/crypto/test/scoped_types.h index 1de970fd..bb8359c3 100644 --- a/crypto/test/scoped_types.h +++ b/crypto/test/scoped_types.h @@ -18,6 +18,7 @@ #include #include +#include #include #include #include @@ -69,6 +70,9 @@ class ScopedOpenSSLContext { }; using ScopedBIO = ScopedOpenSSLType; +using ScopedBIGNUM = ScopedOpenSSLType; +using ScopedBN_CTX = ScopedOpenSSLType; +using ScopedBN_MONT_CTX = ScopedOpenSSLType; using ScopedDH = ScopedOpenSSLType; using ScopedEVP_PKEY = ScopedOpenSSLType; using ScopedPKCS8_PRIV_KEY_INFO = ScopedOpenSSLType