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Diffstat (limited to 'src/crypto/bn/bn_test.c')
| -rw-r--r-- | src/crypto/bn/bn_test.c | 1471 |
1 files changed, 1471 insertions, 0 deletions
diff --git a/src/crypto/bn/bn_test.c b/src/crypto/bn/bn_test.c new file mode 100644 index 0000000..e342ed8 --- /dev/null +++ b/src/crypto/bn/bn_test.c @@ -0,0 +1,1471 @@ +/* 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 <string.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; +} |