| /* 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 <stdio.h> |
| |
| #include <openssl/bio.h> |
| #include <openssl/bn.h> |
| #include <openssl/crypto.h> |
| #include <openssl/err.h> |
| #include <openssl/mem.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 */ |
| |
| 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)) { |
| unsigned long 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)) |
| return 0; |
| if (!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 = '.'; |
| if (p == 1) |
| c = '+'; |
| if (p == 2) |
| c = '*'; |
| 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)) |
| 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', 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)) |
| goto err; |
| if (!BN_nnmod(r, r, p, ctx)) |
| goto err; |
| if (!BN_mod_sqr(r, r, p, ctx)) |
| goto err; |
| if (!BN_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('.', 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; |
| } |