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OpenSSL 1.1.1-pre2

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Hakase
2018-04-07 17:29:40 +09:00
parent 82a44d2483
commit bbac8ca55d
17755 changed files with 221242 additions and 98415 deletions
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test/bntest.c
+1658 -1622
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@@ -1,841 +1,340 @@
/*
* Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* ====================================================================
* 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 <assert.h>
#include <errno.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <ctype.h>
#include "e_os.h"
#include <openssl/bio.h>
#include <openssl/bn.h>
#include <openssl/rand.h>
#include <openssl/x509.h>
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/rand.h>
#include "internal/nelem.h"
#include "internal/numbers.h"
#include "testutil.h"
#ifdef OPENSSL_SYS_WINDOWS
# define strcasecmp _stricmp
#endif
/*
* In bn_lcl.h, bn_expand() is defined as a static ossl_inline function.
* This is fine in itself, it will end up as an unused static function in
* the worst case. However, it referenses bn_expand2(), which is a private
* function in libcrypto and therefore unavailable on some systems. This
* may result in a linker error because of unresolved symbols.
*
* To avoid this, we define a dummy variant of bn_expand2() here, and to
* avoid possible clashes with libcrypto, we rename it first, using a macro.
* Things in boring, not in openssl. TODO we should add them.
*/
#define bn_expand2 dummy_bn_expand2
BIGNUM *bn_expand2(BIGNUM *b, int words);
BIGNUM *bn_expand2(BIGNUM *b, int words) { return NULL; }
#define HAVE_BN_PADDED 0
#define HAVE_BN_SQRT 0
#include "../crypto/bn/bn_lcl.h"
typedef struct filetest_st {
const char *name;
int (*func)(STANZA *s);
} FILETEST;
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 */
typedef struct mpitest_st {
const char *base10;
const char *mpi;
size_t mpi_len;
} MPITEST;
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_div(BIO *bp, BN_CTX *ctx);
int test_div_word(BIO *bp);
int test_div_recp(BIO *bp, BN_CTX *ctx);
int test_mul(BIO *bp);
int test_sqr(BIO *bp, BN_CTX *ctx);
int test_mont(BIO *bp, BN_CTX *ctx);
int test_mod(BIO *bp, BN_CTX *ctx);
int test_mod_mul(BIO *bp, BN_CTX *ctx);
int test_mod_exp(BIO *bp, BN_CTX *ctx);
int test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx);
int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx);
int test_exp(BIO *bp, BN_CTX *ctx);
int test_gf2m_add(BIO *bp);
int test_gf2m_mod(BIO *bp);
int test_gf2m_mod_mul(BIO *bp, BN_CTX *ctx);
int test_gf2m_mod_sqr(BIO *bp, BN_CTX *ctx);
int test_gf2m_mod_inv(BIO *bp, BN_CTX *ctx);
int test_gf2m_mod_div(BIO *bp, BN_CTX *ctx);
int test_gf2m_mod_exp(BIO *bp, BN_CTX *ctx);
int test_gf2m_mod_sqrt(BIO *bp, BN_CTX *ctx);
int test_gf2m_mod_solve_quad(BIO *bp, BN_CTX *ctx);
int test_kron(BIO *bp, BN_CTX *ctx);
int test_sqrt(BIO *bp, BN_CTX *ctx);
int test_small_prime(BIO *bp, BN_CTX *ctx);
int test_bn2dec(BIO *bp);
int rand_neg(void);
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 const char rnd_seed[] =
"string to make the random number generator think it has entropy";
static void message(BIO *out, char *m)
{
fprintf(stderr, "test %s\n", m);
BIO_puts(out, "print \"test ");
BIO_puts(out, m);
BIO_puts(out, "\\n\"\n");
}
int main(int argc, char *argv[])
{
BN_CTX *ctx;
BIO *out;
char *outfile = NULL;
CRYPTO_set_mem_debug(1);
CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
results = 0;
RAND_seed(rnd_seed, sizeof(rnd_seed)); /* or BN_generate_prime may fail */
argc--;
argv++;
while (argc >= 1) {
if (strcmp(*argv, "-results") == 0)
results = 1;
else if (strcmp(*argv, "-out") == 0) {
if (--argc < 1)
break;
outfile = *(++argv);
}
argc--;
argv++;
}
ctx = BN_CTX_new();
if (ctx == NULL)
EXIT(1);
out = BIO_new(BIO_s_file());
if (out == NULL)
EXIT(1);
if (outfile == NULL) {
BIO_set_fp(out, stdout, BIO_NOCLOSE | BIO_FP_TEXT);
} else {
if (!BIO_write_filename(out, outfile)) {
perror(outfile);
EXIT(1);
}
}
#ifdef OPENSSL_SYS_VMS
{
BIO *tmpbio = BIO_new(BIO_f_linebuffer());
out = BIO_push(tmpbio, out);
}
#endif
if (!results)
BIO_puts(out, "obase=16\nibase=16\n");
message(out, "BN_add");
if (!test_add(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_sub");
if (!test_sub(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_lshift1");
if (!test_lshift1(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_lshift (fixed)");
if (!test_lshift(out, ctx, BN_bin2bn(lst, sizeof(lst) - 1, NULL)))
goto err;
(void)BIO_flush(out);
message(out, "BN_lshift");
if (!test_lshift(out, ctx, NULL))
goto err;
(void)BIO_flush(out);
message(out, "BN_rshift1");
if (!test_rshift1(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_rshift");
if (!test_rshift(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_sqr");
if (!test_sqr(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mul");
if (!test_mul(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_div");
if (!test_div(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_div_word");
if (!test_div_word(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_div_recp");
if (!test_div_recp(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mod");
if (!test_mod(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mod_mul");
if (!test_mod_mul(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mont");
if (!test_mont(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mod_exp");
if (!test_mod_exp(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mod_exp_mont_consttime");
if (!test_mod_exp_mont_consttime(out, ctx))
goto err;
if (!test_mod_exp_mont5(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_exp");
if (!test_exp(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_kronecker");
if (!test_kron(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_mod_sqrt");
if (!test_sqrt(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "Small prime generation");
if (!test_small_prime(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_bn2dec");
if (!test_bn2dec(out))
goto err;
(void)BIO_flush(out);
static const int NUM0 = 100; /* number of tests */
static const int NUM1 = 50; /* additional tests for some functions */
static BN_CTX *ctx;
/*
* Polynomial coefficients used in GFM tests.
*/
#ifndef OPENSSL_NO_EC2M
message(out, "BN_GF2m_add");
if (!test_gf2m_add(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod");
if (!test_gf2m_mod(out))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_mul");
if (!test_gf2m_mod_mul(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_sqr");
if (!test_gf2m_mod_sqr(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_inv");
if (!test_gf2m_mod_inv(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_div");
if (!test_gf2m_mod_div(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_exp");
if (!test_gf2m_mod_exp(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_sqrt");
if (!test_gf2m_mod_sqrt(out, ctx))
goto err;
(void)BIO_flush(out);
message(out, "BN_GF2m_mod_solve_quad");
if (!test_gf2m_mod_solve_quad(out, ctx))
goto err;
(void)BIO_flush(out);
static int p0[] = { 163, 7, 6, 3, 0, -1 };
static int p1[] = { 193, 15, 0, -1 };
#endif
BN_CTX_free(ctx);
BIO_free(out);
ERR_print_errors_fp(stderr);
/*
* Look for |key| in the stanza and return it or NULL if not found.
*/
static const char *findattr(STANZA *s, const char *key)
{
int i = s->numpairs;
PAIR *pp = s->pairs;
#ifndef OPENSSL_NO_CRYPTO_MDEBUG
if (CRYPTO_mem_leaks_fp(stderr) <= 0)
EXIT(1);
#endif
EXIT(0);
err:
BIO_puts(out, "1\n"); /* make sure the Perl script fed by bc
* notices the failure, see test_bn in
* test/Makefile.ssl */
(void)BIO_flush(out);
BN_CTX_free(ctx);
BIO_free(out);
ERR_print_errors_fp(stderr);
EXIT(1);
for ( ; --i >= 0; pp++)
if (strcasecmp(pp->key, key) == 0)
return pp->value;
return NULL;
}
int test_add(BIO *bp)
/*
* Parse BIGNUM from sparse hex-strings, return |BN_hex2bn| result.
*/
static int parse_bigBN(BIGNUM **out, const char *bn_strings[])
{
BIGNUM *a, *b, *c;
int i;
char *bigstring = glue_strings(bn_strings, NULL);
int ret = BN_hex2bn(out, bigstring);
a = BN_new();
b = BN_new();
c = BN_new();
OPENSSL_free(bigstring);
return ret;
}
BN_bntest_rand(a, 512, 0, 0);
for (i = 0; i < num0; i++) {
BN_bntest_rand(b, 450 + i, 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
BN_add(c, a, b);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " + ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
a->neg = !a->neg;
b->neg = !b->neg;
BN_add(c, c, b);
BN_add(c, c, a);
if (!BN_is_zero(c)) {
fprintf(stderr, "Add test failed!\n");
return 0;
}
/*
* Parse BIGNUM, return number of bytes parsed.
*/
static int parseBN(BIGNUM **out, const char *in)
{
*out = NULL;
return BN_hex2bn(out, in);
}
static int parsedecBN(BIGNUM **out, const char *in)
{
*out = NULL;
return BN_dec2bn(out, in);
}
static BIGNUM *getBN(STANZA *s, const char *attribute)
{
const char *hex;
BIGNUM *ret = NULL;
if ((hex = findattr(s, attribute)) == NULL) {
TEST_error("%s:%d: Can't find %s", s->test_file, s->start, attribute);
return NULL;
}
BN_free(a);
BN_free(b);
BN_free(c);
return (1);
if (parseBN(&ret, hex) != (int)strlen(hex)) {
TEST_error("Could not decode '%s'", hex);
return NULL;
}
return ret;
}
int test_sub(BIO *bp)
static int getint(STANZA *s, int *out, const char *attribute)
{
BIGNUM *a, *b, *c;
int i;
BIGNUM *ret;
BN_ULONG word;
int st = 0;
a = BN_new();
b = BN_new();
c = BN_new();
if (!TEST_ptr(ret = getBN(s, attribute))
|| !TEST_ulong_le(word = BN_get_word(ret), INT_MAX))
goto err;
for (i = 0; i < num0 + num1; i++) {
if (i < num1) {
*out = (int)word;
st = 1;
err:
BN_free(ret);
return st;
}
static int equalBN(const char *op, const BIGNUM *expected, const BIGNUM *actual)
{
if (BN_cmp(expected, actual) == 0)
return 1;
TEST_error("unexpected %s value", op);
TEST_BN_eq(expected, actual);
return 0;
}
/*
* Return a "random" flag for if a BN should be negated.
*/
static 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 int test_sub(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL;
int i, st = 0;
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(c = BN_new()))
goto err;
for (i = 0; i < NUM0 + NUM1; i++) {
if (i < NUM1) {
BN_bntest_rand(a, 512, 0, 0);
BN_copy(b, a);
if (BN_set_bit(a, i) == 0)
return (0);
if (!TEST_int_ne(BN_set_bit(a, i), 0))
goto err;
BN_add_word(b, i);
} else {
BN_bntest_rand(b, 400 + i - num1, 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
BN_bntest_rand(b, 400 + i - NUM1, 0, 0);
BN_set_negative(a, rand_neg());
BN_set_negative(b, 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;
}
if (!TEST_BN_eq_zero(c))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
return (1);
return st;
}
int test_div(BIO *bp, BN_CTX *ctx)
static int test_div_recip(void)
{
BIGNUM *a, *b, *c, *d, *e;
int i;
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
BN_RECP_CTX *recp = NULL;
int st = 0, i;
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new())
|| !TEST_ptr(recp = BN_RECP_CTX_new()))
goto err;
BN_one(a);
BN_zero(b);
if (BN_div(d, c, a, b, ctx)) {
fprintf(stderr, "Division by zero succeeded!\n");
return 0;
}
for (i = 0; i < num0 + num1; i++) {
if (i < num1) {
for (i = 0; i < NUM0 + NUM1; i++) {
if (i < NUM1) {
BN_bntest_rand(a, 400, 0, 0);
BN_copy(b, a);
BN_lshift(a, a, i);
BN_add_word(a, i);
} else
BN_bntest_rand(b, 50 + 3 * (i - num1), 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
BN_div(d, c, a, b, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " / ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, d);
BIO_puts(bp, "\n");
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " % ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_mul(e, d, b, ctx);
BN_add(d, e, c);
BN_sub(d, d, a);
if (!BN_is_zero(d)) {
fprintf(stderr, "Division test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return (1);
}
static void print_word(BIO *bp, BN_ULONG w)
{
int i = sizeof(w) * 8;
char *fmt = NULL;
unsigned char byte;
do {
i -= 8;
byte = (unsigned char)(w >> i);
if (fmt == NULL)
fmt = byte ? "%X" : NULL;
else
fmt = "%02X";
if (fmt != NULL)
BIO_printf(bp, fmt, byte);
} while (i);
/* If we haven't printed anything, at least print a zero! */
if (fmt == NULL)
BIO_printf(bp, "0");
}
int test_div_word(BIO *bp)
{
BIGNUM *a, *b;
BN_ULONG r, rmod, s;
int i;
a = BN_new();
b = BN_new();
for (i = 0; i < num0; i++) {
do {
BN_bntest_rand(a, 512, -1, 0);
BN_bntest_rand(b, BN_BITS2, -1, 0);
} while (BN_is_zero(b));
s = b->d[0];
BN_copy(b, a);
rmod = BN_mod_word(b, s);
r = BN_div_word(b, s);
if (rmod != r) {
fprintf(stderr, "Mod (word) test failed!\n");
return 0;
}
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " / ");
print_word(bp, s);
BIO_puts(bp, " - ");
}
BN_print(bp, b);
BIO_puts(bp, "\n");
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " % ");
print_word(bp, s);
BIO_puts(bp, " - ");
}
print_word(bp, r);
BIO_puts(bp, "\n");
}
BN_mul_word(b, s);
BN_add_word(b, r);
BN_sub(b, a, b);
if (!BN_is_zero(b)) {
fprintf(stderr, "Division (word) test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
return (1);
}
int test_div_recp(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a, *b, *c, *d, *e;
BN_RECP_CTX *recp;
int i;
recp = BN_RECP_CTX_new();
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
for (i = 0; i < num0 + num1; i++) {
if (i < num1) {
BN_bntest_rand(a, 400, 0, 0);
BN_copy(b, a);
BN_lshift(a, a, i);
BN_add_word(a, i);
} else
BN_bntest_rand(b, 50 + 3 * (i - num1), 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0);
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
BN_RECP_CTX_set(recp, b, ctx);
BN_div_recp(d, c, a, recp, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " / ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, d);
BIO_puts(bp, "\n");
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " % ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_mul(e, d, b, ctx);
BN_add(d, e, c);
BN_sub(d, d, a);
if (!BN_is_zero(d)) {
fprintf(stderr, "Reciprocal division test failed!\n");
fprintf(stderr, "a=");
BN_print_fp(stderr, a);
fprintf(stderr, "\nb=");
BN_print_fp(stderr, b);
fprintf(stderr, "\n");
return 0;
}
if (!TEST_BN_eq_zero(d))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
BN_RECP_CTX_free(recp);
return (1);
return st;
}
int test_mul(BIO *bp)
static int test_mod(void)
{
BIGNUM *a, *b, *c, *d, *e;
int i;
BN_CTX *ctx;
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
int st = 0, i;
ctx = BN_CTX_new();
if (ctx == NULL)
EXIT(1);
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new()))
goto err;
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
for (i = 0; i < num0 + num1; i++) {
if (i <= num1) {
BN_bntest_rand(a, 100, 0, 0);
BN_bntest_rand(b, 100, 0, 0);
} else
BN_bntest_rand(b, i - num1, 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
BN_mul(c, a, b, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_div(d, e, c, a, ctx);
BN_sub(d, d, b);
if (!BN_is_zero(d) || !BN_is_zero(e)) {
fprintf(stderr, "Multiplication test failed!\n");
return 0;
}
BN_bntest_rand(a, 1024, 0, 0);
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(b, 450 + i * 10, 0, 0);
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
BN_mod(c, a, b, ctx);
BN_div(d, e, a, b, ctx);
BN_sub(e, e, c);
if (!TEST_BN_eq_zero(e))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
BN_CTX_free(ctx);
return (1);
return st;
}
int test_sqr(BIO *bp, BN_CTX *ctx)
static const char *bn1strings[] = {
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF00",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"00000000000000000000000000000000000000000000000000FFFFFFFFFFFFFF",
NULL
};
static const char *bn2strings[] = {
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF0000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"000000000000000000000000000000000000000000FFFFFFFFFFFFFF00000000",
NULL
};
/*
* Test constant-time modular exponentiation with 1024-bit inputs, which on
* x86_64 cause a different code branch to be taken.
*/
static int test_modexp_mont5(void)
{
BIGNUM *a, *c, *d, *e;
int i, ret = 0;
BIGNUM *a = NULL, *p = NULL, *m = NULL, *d = NULL, *e = NULL;
BIGNUM *b = NULL, *n = NULL, *c = NULL;
BN_MONT_CTX *mont = NULL;
int st = 0;
a = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
if (a == NULL || c == NULL || d == NULL || e == NULL) {
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(p = BN_new())
|| !TEST_ptr(m = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(n = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(mont = BN_MONT_CTX_new()))
goto err;
}
for (i = 0; i < num0; i++) {
BN_bntest_rand(a, 40 + i * 10, 0, 0);
a->neg = rand_neg();
BN_sqr(c, a, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, a);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_div(d, e, c, a, ctx);
BN_sub(d, d, a);
if (!BN_is_zero(d) || !BN_is_zero(e)) {
fprintf(stderr, "Square test failed!\n");
goto err;
}
}
/* Regression test for a BN_sqr overflow bug. */
BN_hex2bn(&a,
"80000000000000008000000000000001"
"FFFFFFFFFFFFFFFE0000000000000000");
BN_sqr(c, a, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, a);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_mul(d, a, a, ctx);
if (BN_cmp(c, d)) {
fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce "
"different results!\n");
BN_bntest_rand(m, 1024, 0, 1); /* must be odd for montgomery */
/* Zero exponent */
BN_bntest_rand(a, 1024, 0, 0);
BN_zero(p);
if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL)))
goto err;
}
/* Regression test for a BN_sqr overflow bug. */
BN_hex2bn(&a,
"80000000000000000000000080000001"
"FFFFFFFE000000000000000000000000");
BN_sqr(c, a, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, a);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_mul(d, a, a, ctx);
if (BN_cmp(c, d)) {
fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce "
"different results!\n");
if (!TEST_BN_eq_one(d))
goto err;
}
ret = 1;
err:
BN_free(a);
BN_free(c);
BN_free(d);
BN_free(e);
return ret;
}
int test_mont(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a, *b, *c, *d, *A, *B;
BIGNUM *n;
int i;
BN_MONT_CTX *mont;
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
A = BN_new();
B = BN_new();
n = BN_new();
mont = BN_MONT_CTX_new();
if (mont == NULL)
return 0;
BN_zero(n);
if (BN_MONT_CTX_set(mont, n, ctx)) {
fprintf(stderr, "BN_MONT_CTX_set succeeded for zero modulus!\n");
return 0;
}
BN_set_word(n, 16);
if (BN_MONT_CTX_set(mont, n, ctx)) {
fprintf(stderr, "BN_MONT_CTX_set succeeded for even modulus!\n");
return 0;
}
BN_bntest_rand(a, 100, 0, 0);
BN_bntest_rand(b, 100, 0, 0);
for (i = 0; i < num2; i++) {
int bits = (200 * (i + 1)) / num2;
if (bits == 0)
continue;
BN_bntest_rand(n, bits, 0, 1);
BN_MONT_CTX_set(mont, n, ctx);
BN_nnmod(a, a, n, ctx);
BN_nnmod(b, b, n, ctx);
BN_to_montgomery(A, a, mont, ctx);
BN_to_montgomery(B, b, mont, ctx);
BN_mod_mul_montgomery(c, A, B, mont, ctx);
BN_from_montgomery(A, c, mont, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, b);
BIO_puts(bp, " % ");
BN_print(bp, &mont->N);
BIO_puts(bp, " - ");
}
BN_print(bp, A);
BIO_puts(bp, "\n");
}
BN_mod_mul(d, a, b, n, ctx);
BN_sub(d, d, A);
if (!BN_is_zero(d)) {
fprintf(stderr, "Montgomery multiplication test failed!\n");
return 0;
}
}
/* Regression test for carry bug in mulx4x_mont */
BN_hex2bn(&a,
@@ -856,309 +355,93 @@ int test_mont(BIO *bp, BN_CTX *ctx)
BN_MONT_CTX_set(mont, n, ctx);
BN_mod_mul_montgomery(c, a, b, mont, ctx);
BN_mod_mul_montgomery(d, b, a, mont, ctx);
if (BN_cmp(c, d)) {
fprintf(stderr, "Montgomery multiplication test failed:"
" a*b != b*a.\n");
return 0;
}
if (!TEST_BN_eq(c, d))
goto err;
BN_MONT_CTX_free(mont);
BN_free(a);
/* Regression test for carry bug in sqr[x]8x_mont */
parse_bigBN(&n, bn1strings);
parse_bigBN(&a, bn2strings);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(A);
BN_free(B);
BN_free(n);
return (1);
}
b = BN_dup(a);
BN_MONT_CTX_set(mont, n, ctx);
BN_mod_mul_montgomery(c, a, a, mont, ctx);
BN_mod_mul_montgomery(d, a, b, mont, ctx);
if (!TEST_BN_eq(c, d))
goto err;
int test_mod(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a, *b, *c, *d, *e;
int i;
/* Regression test for carry bug in bn_sqrx8x_internal */
{
static const char *ahex[] = {
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8FFEADBCFC4DAE7FFF908E92820306B",
"9544D954000000006C0000000000000000000000000000000000000000000000",
"00000000000000000000FF030202FFFFF8FFEBDBCFC4DAE7FFF908E92820306B",
"9544D954000000006C000000FF0302030000000000FFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF01FC00FF02FFFFFFFF",
"00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00FCFD",
"FCFFFFFFFFFF000000000000000000FF0302030000000000FFFFFFFFFFFFFFFF",
"FF00FCFDFDFF030202FF00000000FFFFFFFFFFFFFFFFFF00FCFDFCFFFFFFFFFF",
NULL
};
static const char *nhex[] = {
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8F8F8F8000000",
"00000010000000006C0000000000000000000000000000000000000000000000",
"00000000000000000000000000000000000000FFFFFFFFFFFFF8F8F8F8000000",
"00000010000000006C000000000000000000000000FFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
"FFFFFFFFFFFF000000000000000000000000000000000000FFFFFFFFFFFFFFFF",
"FFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
NULL
};
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
BN_bntest_rand(a, 1024, 0, 0);
for (i = 0; i < num0; i++) {
BN_bntest_rand(b, 450 + i * 10, 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
BN_mod(c, a, b, ctx);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " % ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, c);
BIO_puts(bp, "\n");
}
BN_div(d, e, a, b, ctx);
BN_sub(e, e, c);
if (!BN_is_zero(e)) {
fprintf(stderr, "Modulo test failed!\n");
return 0;
}
parse_bigBN(&a, ahex);
parse_bigBN(&n, nhex);
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return (1);
}
b = BN_dup(a);
BN_MONT_CTX_set(mont, n, ctx);
BN_mod_mul_montgomery(c, a, a, mont, ctx);
BN_mod_mul_montgomery(d, a, b, mont, ctx);
if (!TEST_BN_eq(c, d))
goto err;
int test_mod_mul(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a, *b, *c, *d, *e;
int i, j;
/* Regression test for bug in rsaz_1024_mul_avx2 */
BN_hex2bn(&a,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF");
BN_hex2bn(&b,
"2020202020202020202020202020202020202020202020202020202020202020"
"2020202020202020202020202020202020202020202020202020202020202020"
"20202020202020FF202020202020202020202020202020202020202020202020"
"2020202020202020202020202020202020202020202020202020202020202020");
BN_hex2bn(&n,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF");
BN_MONT_CTX_set(mont, n, ctx);
BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont);
BN_mod_exp_mont(d, a, b, n, ctx, mont);
if (!TEST_BN_eq(c, d))
goto err;
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
BN_one(a);
BN_one(b);
BN_zero(c);
if (BN_mod_mul(e, a, b, c, ctx)) {
fprintf(stderr, "BN_mod_mul with zero modulus succeeded!\n");
return 0;
}
for (j = 0; j < 3; j++) {
BN_bntest_rand(c, 1024, 0, 0);
for (i = 0; i < num0; i++) {
BN_bntest_rand(a, 475 + i * 10, 0, 0);
BN_bntest_rand(b, 425 + i * 11, 0, 0);
a->neg = rand_neg();
b->neg = rand_neg();
if (!BN_mod_mul(e, a, b, c, ctx)) {
unsigned long l;
while ((l = ERR_get_error()))
fprintf(stderr, "ERROR:%s\n", ERR_error_string(l, NULL));
EXIT(1);
}
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, b);
BIO_puts(bp, " % ");
BN_print(bp, c);
if ((a->neg ^ b->neg) && !BN_is_zero(e)) {
/*
* If (a*b) % c is negative, c must be added in order
* to obtain the normalized remainder (new with
* OpenSSL 0.9.7, previous versions of BN_mod_mul
* could generate negative results)
*/
BIO_puts(bp, " + ");
BN_print(bp, c);
}
BIO_puts(bp, " - ");
}
BN_print(bp, e);
BIO_puts(bp, "\n");
}
BN_mul(d, a, b, ctx);
BN_sub(d, d, e);
BN_div(a, b, d, c, ctx);
if (!BN_is_zero(b)) {
fprintf(stderr, "Modulo multiply test failed!\n");
ERR_print_errors_fp(stderr);
return 0;
}
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return (1);
}
int test_mod_exp(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a, *b, *c, *d, *e;
int i;
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
BN_one(a);
BN_one(b);
BN_zero(c);
if (BN_mod_exp(d, a, b, c, ctx)) {
fprintf(stderr, "BN_mod_exp with zero modulus succeeded!\n");
return 0;
}
BN_bntest_rand(c, 30, 0, 1); /* must be odd for montgomery */
for (i = 0; i < num2; i++) {
BN_bntest_rand(a, 20 + i * 5, 0, 0);
BN_bntest_rand(b, 2 + i, 0, 0);
if (!BN_mod_exp(d, a, b, c, ctx))
return (0);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " ^ ");
BN_print(bp, b);
BIO_puts(bp, " % ");
BN_print(bp, c);
BIO_puts(bp, " - ");
}
BN_print(bp, d);
BIO_puts(bp, "\n");
}
BN_exp(e, a, b, ctx);
BN_sub(e, e, d);
BN_div(a, b, e, c, ctx);
if (!BN_is_zero(b)) {
fprintf(stderr, "Modulo exponentiation test failed!\n");
return 0;
}
}
/* Regression test for carry propagation bug in sqr8x_reduction */
BN_hex2bn(&a, "050505050505");
BN_hex2bn(&b, "02");
BN_hex2bn(&c,
"4141414141414141414141274141414141414141414141414141414141414141"
"4141414141414141414141414141414141414141414141414141414141414141"
"4141414141414141414141800000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000001");
BN_mod_exp(d, a, b, c, ctx);
BN_mul(e, a, a, ctx);
if (BN_cmp(d, e)) {
fprintf(stderr, "BN_mod_exp and BN_mul produce different results!\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_one(a);
BN_one(b);
BN_zero(c);
if (BN_mod_exp_mont_consttime(d, a, b, c, ctx, NULL)) {
fprintf(stderr, "BN_mod_exp_mont_consttime with zero modulus "
"succeeded\n");
return 0;
}
BN_set_word(c, 16);
if (BN_mod_exp_mont_consttime(d, a, b, c, ctx, NULL)) {
fprintf(stderr, "BN_mod_exp_mont_consttime with even modulus "
"succeeded\n");
return 0;
}
BN_bntest_rand(c, 30, 0, 1); /* must be odd for montgomery */
for (i = 0; i < num2; i++) {
BN_bntest_rand(a, 20 + i * 5, 0, 0);
BN_bntest_rand(b, 2 + i, 0, 0);
if (!BN_mod_exp_mont_consttime(d, a, b, c, ctx, NULL))
return (00);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " ^ ");
BN_print(bp, b);
BIO_puts(bp, " % ");
BN_print(bp, c);
BIO_puts(bp, " - ");
}
BN_print(bp, d);
BIO_puts(bp, "\n");
}
BN_exp(e, a, b, ctx);
BN_sub(e, e, d);
BN_div(a, b, e, c, ctx);
if (!BN_is_zero(b)) {
fprintf(stderr, "Modulo exponentiation test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return (1);
}
/*
* Test constant-time modular exponentiation with 1024-bit inputs, which on
* x86_64 cause a different code branch to be taken.
*/
int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a, *p, *m, *d, *e;
BN_MONT_CTX *mont;
a = BN_new();
p = BN_new();
m = BN_new();
d = BN_new();
e = BN_new();
mont = BN_MONT_CTX_new();
BN_bntest_rand(m, 1024, 0, 1); /* must be odd for montgomery */
/* Zero exponent */
BN_bntest_rand(a, 1024, 0, 0);
BN_zero(p);
if (!BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))
return 0;
if (!BN_is_one(d)) {
fprintf(stderr, "Modular exponentiation test failed!\n");
return 0;
}
/* Zero input */
BN_bntest_rand(p, 1024, 0, 0);
BN_zero(a);
if (!BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))
return 0;
if (!BN_is_zero(d)) {
fprintf(stderr, "Modular exponentiation test failed!\n");
return 0;
}
if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))
|| !TEST_BN_eq_zero(d))
goto err;
/*
* Craft an input whose Montgomery representation is 1, i.e., shorter
* than the modulus m, in order to test the const time precomputation
@@ -1166,149 +449,96 @@ int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx)
*/
BN_one(a);
BN_MONT_CTX_set(mont, m, ctx);
if (!BN_from_montgomery(e, a, mont, ctx))
return 0;
if (!BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
return 0;
if (!BN_mod_exp_simple(a, e, p, m, ctx))
return 0;
if (BN_cmp(a, d) != 0) {
fprintf(stderr, "Modular exponentiation test failed!\n");
return 0;
}
if (!TEST_true(BN_from_montgomery(e, a, mont, ctx))
|| !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
|| !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
|| !TEST_BN_eq(a, d))
goto err;
/* Finally, some regular test vectors. */
BN_bntest_rand(e, 1024, 0, 0);
if (!BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
return 0;
if (!BN_mod_exp_simple(a, e, p, m, ctx))
return 0;
if (BN_cmp(a, d) != 0) {
fprintf(stderr, "Modular exponentiation test failed!\n");
return 0;
}
if (!TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
|| !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
|| !TEST_BN_eq(a, d))
goto err;
st = 1;
err:
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_bntest_rand(a, 20 + i * 5, 0, 0);
BN_bntest_rand(b, 2 + i, 0, 0);
if (BN_exp(d, a, b, ctx) <= 0)
return (0);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " ^ ");
BN_print(bp, b);
BIO_puts(bp, " - ");
}
BN_print(bp, d);
BIO_puts(bp, "\n");
}
BN_one(e);
for (; !BN_is_zero(b); BN_sub(b, b, one))
BN_mul(e, e, a, ctx);
BN_sub(e, e, d);
if (!BN_is_zero(e)) {
fprintf(stderr, "Exponentiation test failed!\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(d);
BN_free(e);
BN_free(one);
return (1);
BN_free(n);
BN_free(c);
return st;
}
#ifndef OPENSSL_NO_EC2M
int test_gf2m_add(BIO *bp)
static int test_gf2m_add(void)
{
BIGNUM *a, *b, *c;
int i, ret = 0;
BIGNUM *a = NULL, *b = NULL, *c = NULL;
int i, st = 0;
a = BN_new();
b = BN_new();
c = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(c = BN_new()))
goto err;
for (i = 0; i < num0; i++) {
BN_rand(a, 512, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY);
for (i = 0; i < NUM0; i++) {
BN_rand(a, 512, 0, 0);
BN_copy(b, BN_value_one());
a->neg = rand_neg();
b->neg = rand_neg();
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
BN_GF2m_add(c, a, b);
/* Test that two added values have the correct parity. */
if ((BN_is_odd(a) && BN_is_odd(c))
|| (!BN_is_odd(a) && !BN_is_odd(c))) {
fprintf(stderr, "GF(2^m) addition test (a) failed!\n");
if (!TEST_false((BN_is_odd(a) && BN_is_odd(c))
|| (!BN_is_odd(a) && !BN_is_odd(c))))
goto err;
}
BN_GF2m_add(c, c, c);
/* Test that c + c = 0. */
if (!BN_is_zero(c)) {
fprintf(stderr, "GF(2^m) addition test (b) failed!\n");
if (!TEST_BN_eq_zero(c))
goto err;
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
return ret;
return st;
}
int test_gf2m_mod(BIO *bp)
static int test_gf2m_mod(void)
{
BIGNUM *a, *b[2], *c, *d, *e;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL, *e = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 1024, 0, 0);
for (j = 0; j < 2; j++) {
BN_GF2m_mod(c, a, b[j]);
BN_GF2m_add(d, a, c);
BN_GF2m_mod(e, d, b[j]);
/* Test that a + (a mod p) mod p == 0. */
if (!BN_is_zero(e)) {
fprintf(stderr, "GF(2^m) modulo test failed!\n");
if (!TEST_BN_eq_zero(e))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
@@ -1316,30 +546,30 @@ int test_gf2m_mod(BIO *bp)
BN_free(c);
BN_free(d);
BN_free(e);
return ret;
return st;
}
int test_gf2m_mod_mul(BIO *bp, BN_CTX *ctx)
static int test_gf2m_mul(void)
{
BIGNUM *a, *b[2], *c, *d, *e, *f, *g, *h;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL, *g = NULL, *h = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
f = BN_new();
g = BN_new();
h = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new())
|| !TEST_ptr(f = BN_new())
|| !TEST_ptr(g = BN_new())
|| !TEST_ptr(h = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 1024, 0, 0);
BN_bntest_rand(c, 1024, 0, 0);
BN_bntest_rand(d, 1024, 0, 0);
@@ -1351,14 +581,12 @@ int test_gf2m_mod_mul(BIO *bp, BN_CTX *ctx)
BN_GF2m_add(f, e, g);
BN_GF2m_add(f, f, h);
/* Test that (a+d)*c = a*c + d*c. */
if (!BN_is_zero(f)) {
fprintf(stderr,
"GF(2^m) modular multiplication test failed!\n");
if (!TEST_BN_eq_zero(f))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
@@ -1369,26 +597,25 @@ int test_gf2m_mod_mul(BIO *bp, BN_CTX *ctx)
BN_free(f);
BN_free(g);
BN_free(h);
return ret;
return st;
}
int test_gf2m_mod_sqr(BIO *bp, BN_CTX *ctx)
static int test_gf2m_sqr(void)
{
BIGNUM *a, *b[2], *c, *d;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 1024, 0, 0);
for (j = 0; j < 2; j++) {
BN_GF2m_mod_sqr(c, a, b[j], ctx);
@@ -1396,79 +623,74 @@ int test_gf2m_mod_sqr(BIO *bp, BN_CTX *ctx)
BN_GF2m_mod_mul(d, a, d, b[j], ctx);
BN_GF2m_add(d, c, d);
/* Test that a*a = a^2. */
if (!BN_is_zero(d)) {
fprintf(stderr, "GF(2^m) modular squaring test failed!\n");
if (!TEST_BN_eq_zero(d))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
return ret;
return st;
}
int test_gf2m_mod_inv(BIO *bp, BN_CTX *ctx)
static int test_gf2m_modinv(void)
{
BIGNUM *a, *b[2], *c, *d;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 512, 0, 0);
for (j = 0; j < 2; j++) {
BN_GF2m_mod_inv(c, a, b[j], ctx);
BN_GF2m_mod_mul(d, a, c, b[j], ctx);
/* Test that ((1/a)*a) = 1. */
if (!BN_is_one(d)) {
fprintf(stderr, "GF(2^m) modular inversion test failed!\n");
if (!TEST_BN_eq_one(d))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
return ret;
return st;
}
int test_gf2m_mod_div(BIO *bp, BN_CTX *ctx)
static int test_gf2m_moddiv(void)
{
BIGNUM *a, *b[2], *c, *d, *e, *f;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
f = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new())
|| !TEST_ptr(f = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 512, 0, 0);
BN_bntest_rand(c, 512, 0, 0);
for (j = 0; j < 2; j++) {
@@ -1476,13 +698,11 @@ int test_gf2m_mod_div(BIO *bp, BN_CTX *ctx)
BN_GF2m_mod_mul(e, d, c, b[j], ctx);
BN_GF2m_mod_div(f, a, e, b[j], ctx);
/* Test that ((a/c)*c)/a = 1. */
if (!BN_is_one(f)) {
fprintf(stderr, "GF(2^m) modular division test failed!\n");
if (!TEST_BN_eq_one(f))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
@@ -1491,28 +711,28 @@ int test_gf2m_mod_div(BIO *bp, BN_CTX *ctx)
BN_free(d);
BN_free(e);
BN_free(f);
return ret;
return st;
}
int test_gf2m_mod_exp(BIO *bp, BN_CTX *ctx)
static int test_gf2m_modexp(void)
{
BIGNUM *a, *b[2], *c, *d, *e, *f;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
f = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new())
|| !TEST_ptr(f = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 512, 0, 0);
BN_bntest_rand(c, 512, 0, 0);
BN_bntest_rand(d, 512, 0, 0);
@@ -1524,14 +744,11 @@ int test_gf2m_mod_exp(BIO *bp, BN_CTX *ctx)
BN_GF2m_mod_exp(f, a, f, b[j], ctx);
BN_GF2m_add(f, e, f);
/* Test that a^(c+d)=a^c*a^d. */
if (!BN_is_zero(f)) {
fprintf(stderr,
"GF(2^m) modular exponentiation test failed!\n");
if (!TEST_BN_eq_zero(f))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
@@ -1540,28 +757,28 @@ int test_gf2m_mod_exp(BIO *bp, BN_CTX *ctx)
BN_free(d);
BN_free(e);
BN_free(f);
return ret;
return st;
}
int test_gf2m_mod_sqrt(BIO *bp, BN_CTX *ctx)
static int test_gf2m_modsqrt(void)
{
BIGNUM *a, *b[2], *c, *d, *e, *f;
int i, j, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL;
int i, j, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
f = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new())
|| !TEST_ptr(f = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 512, 0, 0);
for (j = 0; j < 2; j++) {
BN_GF2m_mod(c, a, b[j]);
@@ -1569,13 +786,11 @@ int test_gf2m_mod_sqrt(BIO *bp, BN_CTX *ctx)
BN_GF2m_mod_sqr(e, d, b[j], ctx);
BN_GF2m_add(f, c, e);
/* Test that d^2 = a, where d = sqrt(a). */
if (!BN_is_zero(f)) {
fprintf(stderr, "GF(2^m) modular square root test failed!\n");
if (!TEST_BN_eq_zero(f))
goto err;
}
}
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
@@ -1584,27 +799,27 @@ int test_gf2m_mod_sqrt(BIO *bp, BN_CTX *ctx)
BN_free(d);
BN_free(e);
BN_free(f);
return ret;
return st;
}
int test_gf2m_mod_solve_quad(BIO *bp, BN_CTX *ctx)
static int test_gf2m_modsolvequad(void)
{
BIGNUM *a, *b[2], *c, *d, *e;
int i, j, s = 0, t, ret = 0;
int p0[] = { 163, 7, 6, 3, 0, -1 };
int p1[] = { 193, 15, 0, -1 };
BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL;
int i, j, s = 0, t, st = 0;
a = BN_new();
b[0] = BN_new();
b[1] = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b[0] = BN_new())
|| !TEST_ptr(b[1] = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new())
|| !TEST_ptr(e = BN_new()))
goto err;
BN_GF2m_arr2poly(p0, b[0]);
BN_GF2m_arr2poly(p1, b[1]);
for (i = 0; i < num0; i++) {
for (i = 0; i < NUM0; i++) {
BN_bntest_rand(a, 512, 0, 0);
for (j = 0; j < 2; j++) {
t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
@@ -1617,24 +832,16 @@ int test_gf2m_mod_solve_quad(BIO *bp, BN_CTX *ctx)
/*
* Test that solution of quadratic c satisfies c^2 + c = a.
*/
if (!BN_is_zero(e)) {
fprintf(stderr,
"GF(2^m) modular solve quadratic test failed!\n");
if (!TEST_BN_eq_zero(e))
goto err;
}
}
}
}
if (s == 0) {
fprintf(stderr,
"All %i tests of GF(2^m) modular solve quadratic resulted in no roots;\n",
num0);
fprintf(stderr,
"this is very unlikely and probably indicates an error.\n");
if (!TEST_int_ge(s, 0)) {
TEST_info("%d tests found no roots; probably an error", NUM0);
goto err;
}
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b[0]);
@@ -1642,43 +849,21 @@ int test_gf2m_mod_solve_quad(BIO *bp, BN_CTX *ctx)
BN_free(c);
BN_free(d);
BN_free(e);
return ret;
return st;
}
#endif
static int genprime_cb(int p, int n, BN_GENCB *arg)
static int test_kronecker(void)
{
char c = '*';
BIGNUM *a = NULL, *b = NULL, *r = NULL, *t = NULL;
int i, legendre, kronecker, st = 0;
if (p == 0)
c = '.';
if (p == 1)
c = '+';
if (p == 2)
c = '*';
if (p == 3)
c = '\n';
putc(c, stderr);
fflush(stderr);
return 1;
}
int test_kron(BIO *bp, BN_CTX *ctx)
{
BN_GENCB cb;
BIGNUM *a, *b, *r, *t;
int i;
int legendre, kronecker;
int ret = 0;
a = BN_new();
b = BN_new();
r = BN_new();
t = BN_new();
if (a == NULL || b == NULL || r == NULL || t == NULL)
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(r = BN_new())
|| !TEST_ptr(t = BN_new()))
goto err;
BN_GENCB_set(&cb, genprime_cb, NULL);
/*
* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol). In
* this case we know that if b is prime, then BN_kronecker(a, b, ctx) is
@@ -1689,406 +874,1257 @@ int test_kron(BIO *bp, BN_CTX *ctx)
* is prime but whether BN_kronecker works.)
*/
if (!BN_generate_prime_ex(b, 512, 0, NULL, NULL, &cb))
if (!TEST_true(BN_generate_prime_ex(b, 512, 0, NULL, NULL, NULL)))
goto err;
b->neg = rand_neg();
putc('\n', stderr);
BN_set_negative(b, rand_neg());
for (i = 0; i < num0; i++) {
if (!BN_bntest_rand(a, 512, 0, 0))
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
goto err;
a->neg = rand_neg();
BN_set_negative(a, rand_neg());
/* t := (|b|-1)/2 (note that b is odd) */
if (!BN_copy(t, b))
if (!TEST_true(BN_copy(t, b)))
goto err;
t->neg = 0;
if (!BN_sub_word(t, 1))
BN_set_negative(t, 0);
if (!TEST_true(BN_sub_word(t, 1)))
goto err;
if (!BN_rshift1(t, t))
if (!TEST_true(BN_rshift1(t, t)))
goto err;
/* r := a^t mod b */
b->neg = 0;
BN_set_negative(b, 0);
if (!BN_mod_exp_recp(r, a, t, b, ctx))
if (!TEST_true(BN_mod_exp_recp(r, a, t, b, ctx)))
goto err;
b->neg = 1;
BN_set_negative(b, 1);
if (BN_is_word(r, 1))
legendre = 1;
else if (BN_is_zero(r))
legendre = 0;
else {
if (!BN_add_word(r, 1))
if (!TEST_true(BN_add_word(r, 1)))
goto err;
if (0 != BN_ucmp(r, b)) {
fprintf(stderr, "Legendre symbol computation failed\n");
if (!TEST_int_eq(BN_ucmp(r, b), 0)) {
TEST_info("Legendre symbol computation failed");
goto err;
}
legendre = -1;
}
kronecker = BN_kronecker(a, b, ctx);
if (kronecker < -1)
if (!TEST_int_ge(kronecker = BN_kronecker(a, b, ctx), -1))
goto err;
/* we actually need BN_kronecker(a, |b|) */
if (a->neg && b->neg)
if (BN_is_negative(a) && BN_is_negative(b))
kronecker = -kronecker;
if (legendre != kronecker) {
fprintf(stderr, "legendre != kronecker; a = ");
BN_print_fp(stderr, a);
fprintf(stderr, ", b = ");
BN_print_fp(stderr, b);
fprintf(stderr, "\n");
if (!TEST_int_eq(legendre, kronecker))
goto err;
}
putc('.', stderr);
fflush(stderr);
}
putc('\n', stderr);
fflush(stderr);
ret = 1;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(r);
BN_free(t);
return ret;
return st;
}
int test_sqrt(BIO *bp, BN_CTX *ctx)
static int file_sum(STANZA *s)
{
BN_GENCB cb;
BIGNUM *a, *p, *r;
int i, j;
int ret = 0;
BIGNUM *a = NULL, *b = NULL, *sum = NULL, *ret = NULL;
BN_ULONG b_word;
int st = 0;
a = BN_new();
p = BN_new();
r = BN_new();
if (a == NULL || p == NULL || r == NULL)
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(b = getBN(s, "B"))
|| !TEST_ptr(sum = getBN(s, "Sum"))
|| !TEST_ptr(ret = BN_new()))
goto err;
BN_GENCB_set(&cb, genprime_cb, NULL);
for (i = 0; i < 16; i++) {
if (i < 8) {
unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
if (!BN_set_word(p, primes[i]))
goto err;
} else {
if (!BN_set_word(a, 32))
goto err;
if (!BN_set_word(r, 2 * i + 1))
goto err;
if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb))
goto err;
putc('\n', stderr);
}
p->neg = rand_neg();
for (j = 0; j < num2; j++) {
/*
* construct 'a' such that it is a square modulo p, but in
* general not a proper square and not reduced modulo p
*/
if (!BN_bntest_rand(r, 256, 0, 3))
goto err;
if (!BN_nnmod(r, r, p, ctx))
goto err;
if (!BN_mod_sqr(r, r, p, ctx))
goto err;
if (!BN_bntest_rand(a, 256, 0, 3))
goto err;
if (!BN_nnmod(a, a, p, ctx))
goto err;
if (!BN_mod_sqr(a, a, p, ctx))
goto err;
if (!BN_mul(a, a, r, ctx))
goto err;
if (rand_neg())
if (!BN_sub(a, a, p))
goto err;
if (!BN_mod_sqrt(r, a, p, ctx))
goto err;
if (!BN_mod_sqr(r, r, p, ctx))
goto err;
if (!BN_nnmod(a, a, p, ctx))
goto err;
if (BN_cmp(a, r) != 0) {
fprintf(stderr, "BN_mod_sqrt failed: a = ");
BN_print_fp(stderr, a);
fprintf(stderr, ", r = ");
BN_print_fp(stderr, r);
fprintf(stderr, ", p = ");
BN_print_fp(stderr, p);
fprintf(stderr, "\n");
goto err;
}
putc('.', stderr);
fflush(stderr);
}
putc('\n', stderr);
fflush(stderr);
}
ret = 1;
err:
BN_free(a);
BN_free(p);
BN_free(r);
return ret;
}
int test_small_prime(BIO *bp, BN_CTX *ctx)
{
static const int bits = 10;
int ret = 0;
BIGNUM *r;
r = BN_new();
if (!BN_generate_prime_ex(r, bits, 0, NULL, NULL, NULL))
if (!TEST_true(BN_add(ret, a, b))
|| !equalBN("A + B", sum, ret)
|| !TEST_true(BN_sub(ret, sum, a))
|| !equalBN("Sum - A", b, ret)
|| !TEST_true(BN_sub(ret, sum, b))
|| !equalBN("Sum - B", a, ret))
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));
/*
* Test that the functions work when |r| and |a| point to the same BIGNUM,
* or when |r| and |b| point to the same BIGNUM.
* TODO: Test where all of |r|, |a|, and |b| point to the same BIGNUM.
*/
if (!TEST_true(BN_copy(ret, a))
|| !TEST_true(BN_add(ret, ret, b))
|| !equalBN("A + B (r is a)", sum, ret)
|| !TEST_true(BN_copy(ret, b))
|| !TEST_true(BN_add(ret, a, ret))
|| !equalBN("A + B (r is b)", sum, ret)
|| !TEST_true(BN_copy(ret, sum))
|| !TEST_true(BN_sub(ret, ret, a))
|| !equalBN("Sum - A (r is a)", b, ret)
|| !TEST_true(BN_copy(ret, a))
|| !TEST_true(BN_sub(ret, sum, ret))
|| !equalBN("Sum - A (r is b)", b, ret)
|| !TEST_true(BN_copy(ret, sum))
|| !TEST_true(BN_sub(ret, ret, b))
|| !equalBN("Sum - B (r is a)", a, ret)
|| !TEST_true(BN_copy(ret, b))
|| !TEST_true(BN_sub(ret, sum, ret))
|| !equalBN("Sum - B (r is b)", a, ret))
goto err;
/*
* Test BN_uadd() and BN_usub() with the prerequisites they are
* documented as having. Note that these functions are frequently used
* when the prerequisites don't hold. In those cases, they are supposed
* to work as if the prerequisite hold, but we don't test that yet.
* TODO: test that.
*/
if (!BN_is_negative(a) && !BN_is_negative(b) && BN_cmp(a, b) >= 0) {
if (!TEST_true(BN_uadd(ret, a, b))
|| !equalBN("A +u B", sum, ret)
|| !TEST_true(BN_usub(ret, sum, a))
|| !equalBN("Sum -u A", b, ret)
|| !TEST_true(BN_usub(ret, sum, b))
|| !equalBN("Sum -u B", a, ret))
goto err;
/*
* Test that the functions work when |r| and |a| point to the same
* BIGNUM, or when |r| and |b| point to the same BIGNUM.
* TODO: Test where all of |r|, |a|, and |b| point to the same BIGNUM.
*/
if (!TEST_true(BN_copy(ret, a))
|| !TEST_true(BN_uadd(ret, ret, b))
|| !equalBN("A +u B (r is a)", sum, ret)
|| !TEST_true(BN_copy(ret, b))
|| !TEST_true(BN_uadd(ret, a, ret))
|| !equalBN("A +u B (r is b)", sum, ret)
|| !TEST_true(BN_copy(ret, sum))
|| !TEST_true(BN_usub(ret, ret, a))
|| !equalBN("Sum -u A (r is a)", b, ret)
|| !TEST_true(BN_copy(ret, a))
|| !TEST_true(BN_usub(ret, sum, ret))
|| !equalBN("Sum -u A (r is b)", b, ret)
|| !TEST_true(BN_copy(ret, sum))
|| !TEST_true(BN_usub(ret, ret, b))
|| !equalBN("Sum -u B (r is a)", a, ret)
|| !TEST_true(BN_copy(ret, b))
|| !TEST_true(BN_usub(ret, sum, ret))
|| !equalBN("Sum -u B (r is b)", a, ret))
goto err;
}
ret = 1;
err:
BN_clear_free(r);
return ret;
}
int test_bn2dec(BIO *bp)
{
static const char *bn2dec_tests[] = {
"0",
"1",
"-1",
"100",
"-100",
"123456789012345678901234567890",
"-123456789012345678901234567890",
"123456789012345678901234567890123456789012345678901234567890",
"-123456789012345678901234567890123456789012345678901234567890",
};
int ret = 0;
size_t i;
BIGNUM *bn = NULL;
char *dec = NULL;
for (i = 0; i < OSSL_NELEM(bn2dec_tests); i++) {
if (!BN_dec2bn(&bn, bn2dec_tests[i]))
/*
* Test with BN_add_word() and BN_sub_word() if |b| is small enough.
*/
b_word = BN_get_word(b);
if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
if (!TEST_true(BN_copy(ret, a))
|| !TEST_true(BN_add_word(ret, b_word))
|| !equalBN("A + B (word)", sum, ret)
|| !TEST_true(BN_copy(ret, sum))
|| !TEST_true(BN_sub_word(ret, b_word))
|| !equalBN("Sum - B (word)", a, ret))
goto err;
dec = BN_bn2dec(bn);
if (dec == NULL) {
fprintf(stderr, "BN_bn2dec failed on %s.\n", bn2dec_tests[i]);
goto err;
}
if (strcmp(dec, bn2dec_tests[i]) != 0) {
fprintf(stderr, "BN_bn2dec gave %s, wanted %s.\n", dec,
bn2dec_tests[i]);
goto err;
}
OPENSSL_free(dec);
dec = NULL;
}
ret = 1;
st = 1;
err:
BN_free(bn);
OPENSSL_free(dec);
return ret;
}
int test_lshift(BIO *bp, BN_CTX *ctx, BIGNUM *a_)
{
BIGNUM *a, *b, *c, *d;
int i;
b = BN_new();
c = BN_new();
d = BN_new();
BN_one(c);
if (a_)
a = a_;
else {
a = BN_new();
BN_bntest_rand(a, 200, 0, 0);
a->neg = rand_neg();
}
for (i = 0; i < num0; i++) {
BN_lshift(b, a, i + 1);
BN_add(c, c, c);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * ");
BN_print(bp, c);
BIO_puts(bp, " - ");
}
BN_print(bp, b);
BIO_puts(bp, "\n");
}
BN_mul(d, a, c, ctx);
BN_sub(d, d, b);
if (!BN_is_zero(d)) {
fprintf(stderr, "Left shift test failed!\n");
fprintf(stderr, "a=");
BN_print_fp(stderr, a);
fprintf(stderr, "\nb=");
BN_print_fp(stderr, b);
fprintf(stderr, "\nc=");
BN_print_fp(stderr, c);
fprintf(stderr, "\nd=");
BN_print_fp(stderr, d);
fprintf(stderr, "\n");
return 0;
}
}
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
return (1);
BN_free(sum);
BN_free(ret);
return st;
}
int test_lshift1(BIO *bp)
static int file_lshift1(STANZA *s)
{
BIGNUM *a, *b, *c;
int i;
BIGNUM *a = NULL, *lshift1 = NULL, *zero = NULL, *ret = NULL;
BIGNUM *two = NULL, *remainder = NULL;
int st = 0;
a = BN_new();
b = BN_new();
c = BN_new();
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(lshift1 = getBN(s, "LShift1"))
|| !TEST_ptr(zero = BN_new())
|| !TEST_ptr(ret = BN_new())
|| !TEST_ptr(two = BN_new())
|| !TEST_ptr(remainder = BN_new()))
goto err;
BN_bntest_rand(a, 200, 0, 0);
a->neg = rand_neg();
for (i = 0; i < num0; i++) {
BN_lshift1(b, a);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " * 2");
BIO_puts(bp, " - ");
}
BN_print(bp, b);
BIO_puts(bp, "\n");
}
BN_add(c, a, a);
BN_sub(a, b, c);
if (!BN_is_zero(a)) {
fprintf(stderr, "Left shift one test failed!\n");
return 0;
}
BN_zero(zero);
BN_copy(a, b);
if (!TEST_true(BN_set_word(two, 2))
|| !TEST_true(BN_add(ret, a, a))
|| !equalBN("A + A", lshift1, ret)
|| !TEST_true(BN_mul(ret, a, two, ctx))
|| !equalBN("A * 2", lshift1, ret)
|| !TEST_true(BN_div(ret, remainder, lshift1, two, ctx))
|| !equalBN("LShift1 / 2", a, ret)
|| !equalBN("LShift1 % 2", zero, remainder)
|| !TEST_true(BN_lshift1(ret, a))
|| !equalBN("A << 1", lshift1, ret)
|| !TEST_true(BN_rshift1(ret, lshift1))
|| !equalBN("LShift >> 1", a, ret)
|| !TEST_true(BN_rshift1(ret, lshift1))
|| !equalBN("LShift >> 1", a, ret))
goto err;
/* Set the LSB to 1 and test rshift1 again. */
if (!TEST_true(BN_set_bit(lshift1, 0))
|| !TEST_true(BN_div(ret, NULL /* rem */ , lshift1, two, ctx))
|| !equalBN("(LShift1 | 1) / 2", a, ret)
|| !TEST_true(BN_rshift1(ret, lshift1))
|| !equalBN("(LShift | 1) >> 1", a, ret))
goto err;
st = 1;
err:
BN_free(a);
BN_free(lshift1);
BN_free(zero);
BN_free(ret);
BN_free(two);
BN_free(remainder);
return st;
}
static int file_lshift(STANZA *s)
{
BIGNUM *a = NULL, *lshift = NULL, *ret = NULL;
int n = 0, st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(lshift = getBN(s, "LShift"))
|| !TEST_ptr(ret = BN_new())
|| !getint(s, &n, "N"))
goto err;
if (!TEST_true(BN_lshift(ret, a, n))
|| !equalBN("A << N", lshift, ret)
|| !TEST_true(BN_rshift(ret, lshift, n))
|| !equalBN("A >> N", a, ret))
goto err;
st = 1;
err:
BN_free(a);
BN_free(lshift);
BN_free(ret);
return st;
}
static int file_rshift(STANZA *s)
{
BIGNUM *a = NULL, *rshift = NULL, *ret = NULL;
int n = 0, st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(rshift = getBN(s, "RShift"))
|| !TEST_ptr(ret = BN_new())
|| !getint(s, &n, "N"))
goto err;
if (!TEST_true(BN_rshift(ret, a, n))
|| !equalBN("A >> N", rshift, ret))
goto err;
/* If N == 1, try with rshift1 as well */
if (n == 1) {
if (!TEST_true(BN_rshift1(ret, a))
|| !equalBN("A >> 1 (rshift1)", rshift, ret))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(rshift);
BN_free(ret);
return st;
}
static int file_square(STANZA *s)
{
BIGNUM *a = NULL, *square = NULL, *zero = NULL, *ret = NULL;
BIGNUM *remainder = NULL, *tmp = NULL;
int st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(square = getBN(s, "Square"))
|| !TEST_ptr(zero = BN_new())
|| !TEST_ptr(ret = BN_new())
|| !TEST_ptr(remainder = BN_new()))
goto err;
BN_zero(zero);
if (!TEST_true(BN_sqr(ret, a, ctx))
|| !equalBN("A^2", square, ret)
|| !TEST_true(BN_mul(ret, a, a, ctx))
|| !equalBN("A * A", square, ret)
|| !TEST_true(BN_div(ret, remainder, square, a, ctx))
|| !equalBN("Square / A", a, ret)
|| !equalBN("Square % A", zero, remainder))
goto err;
#if HAVE_BN_SQRT
BN_set_negative(a, 0);
if (!TEST_true(BN_sqrt(ret, square, ctx))
|| !equalBN("sqrt(Square)", a, ret))
goto err;
/* BN_sqrt should fail on non-squares and negative numbers. */
if (!TEST_BN_eq_zero(square)) {
if (!TEST_ptr(tmp = BN_new())
|| !TEST_true(BN_copy(tmp, square)))
goto err;
BN_set_negative(tmp, 1);
if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx), 0))
goto err;
ERR_clear_error();
BN_set_negative(tmp, 0);
if (BN_add(tmp, tmp, BN_value_one()))
goto err;
if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx)))
goto err;
ERR_clear_error();
}
#endif
st = 1;
err:
BN_free(a);
BN_free(square);
BN_free(zero);
BN_free(ret);
BN_free(remainder);
BN_free(tmp);
return st;
}
static int file_product(STANZA *s)
{
BIGNUM *a = NULL, *b = NULL, *product = NULL, *ret = NULL;
BIGNUM *remainder = NULL, *zero = NULL;
int st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(b = getBN(s, "B"))
|| !TEST_ptr(product = getBN(s, "Product"))
|| !TEST_ptr(ret = BN_new())
|| !TEST_ptr(remainder = BN_new())
|| !TEST_ptr(zero = BN_new()))
goto err;
BN_zero(zero);
if (!TEST_true(BN_mul(ret, a, b, ctx))
|| !equalBN("A * B", product, ret)
|| !TEST_true(BN_div(ret, remainder, product, a, ctx))
|| !equalBN("Product / A", b, ret)
|| !equalBN("Product % A", zero, remainder)
|| !TEST_true(BN_div(ret, remainder, product, b, ctx))
|| !equalBN("Product / B", a, ret)
|| !equalBN("Product % B", zero, remainder))
goto err;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
return (1);
BN_free(product);
BN_free(ret);
BN_free(remainder);
BN_free(zero);
return st;
}
int test_rshift(BIO *bp, BN_CTX *ctx)
static int file_quotient(STANZA *s)
{
BIGNUM *a, *b, *c, *d, *e;
int i;
BIGNUM *a = NULL, *b = NULL, *quotient = NULL, *remainder = NULL;
BIGNUM *ret = NULL, *ret2 = NULL, *nnmod = NULL;
BN_ULONG b_word, ret_word;
int st = 0;
a = BN_new();
b = BN_new();
c = BN_new();
d = BN_new();
e = BN_new();
BN_one(c);
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(b = getBN(s, "B"))
|| !TEST_ptr(quotient = getBN(s, "Quotient"))
|| !TEST_ptr(remainder = getBN(s, "Remainder"))
|| !TEST_ptr(ret = BN_new())
|| !TEST_ptr(ret2 = BN_new())
|| !TEST_ptr(nnmod = BN_new()))
goto err;
BN_bntest_rand(a, 200, 0, 0);
a->neg = rand_neg();
for (i = 0; i < num0; i++) {
BN_rshift(b, a, i + 1);
BN_add(c, c, c);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " / ");
BN_print(bp, c);
BIO_puts(bp, " - ");
}
BN_print(bp, b);
BIO_puts(bp, "\n");
if (!TEST_true(BN_div(ret, ret2, a, b, ctx))
|| !equalBN("A / B", quotient, ret)
|| !equalBN("A % B", remainder, ret2)
|| !TEST_true(BN_mul(ret, quotient, b, ctx))
|| !TEST_true(BN_add(ret, ret, remainder))
|| !equalBN("Quotient * B + Remainder", a, ret))
goto err;
/*
* Test with BN_mod_word() and BN_div_word() if the divisor is
* small enough.
*/
b_word = BN_get_word(b);
if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
BN_ULONG remainder_word = BN_get_word(remainder);
assert(remainder_word != (BN_ULONG)-1);
if (!TEST_ptr(BN_copy(ret, a)))
goto err;
ret_word = BN_div_word(ret, b_word);
if (ret_word != remainder_word) {
#ifdef BN_DEC_FMT1
TEST_error(
"Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1,
ret_word, remainder_word);
#else
TEST_error("Got A %% B (word) mismatch");
#endif
goto err;
}
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;
if (!equalBN ("A / B (word)", quotient, ret))
goto err;
ret_word = BN_mod_word(a, b_word);
if (ret_word != remainder_word) {
#ifdef BN_DEC_FMT1
TEST_error(
"Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1 "",
ret_word, remainder_word);
#else
TEST_error("Got A %% B (word) mismatch");
#endif
goto err;
}
}
/* Test BN_nnmod. */
if (!BN_is_negative(b)) {
if (!TEST_true(BN_copy(nnmod, remainder))
|| (BN_is_negative(nnmod)
&& !TEST_true(BN_add(nnmod, nnmod, b)))
|| !TEST_true(BN_nnmod(ret, a, b, ctx))
|| !equalBN("A % B (non-negative)", nnmod, ret))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(quotient);
BN_free(remainder);
BN_free(ret);
BN_free(ret2);
BN_free(nnmod);
return st;
}
static int file_modmul(STANZA *s)
{
BIGNUM *a = NULL, *b = NULL, *m = NULL, *mod_mul = NULL, *ret = NULL;
int st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(b = getBN(s, "B"))
|| !TEST_ptr(m = getBN(s, "M"))
|| !TEST_ptr(mod_mul = getBN(s, "ModMul"))
|| !TEST_ptr(ret = BN_new()))
goto err;
if (!TEST_true(BN_mod_mul(ret, a, b, m, ctx))
|| !equalBN("A * B (mod M)", mod_mul, ret))
goto err;
if (BN_is_odd(m)) {
/* Reduce |a| and |b| and test the Montgomery version. */
BN_MONT_CTX *mont = BN_MONT_CTX_new();
BIGNUM *a_tmp = BN_new();
BIGNUM *b_tmp = BN_new();
if (mont == NULL || a_tmp == NULL || b_tmp == NULL
|| !TEST_true(BN_MONT_CTX_set(mont, m, ctx))
|| !TEST_true(BN_nnmod(a_tmp, a, m, ctx))
|| !TEST_true(BN_nnmod(b_tmp, b, m, ctx))
|| !TEST_true(BN_to_montgomery(a_tmp, a_tmp, mont, ctx))
|| !TEST_true(BN_to_montgomery(b_tmp, b_tmp, mont, ctx))
|| !TEST_true(BN_mod_mul_montgomery(ret, a_tmp, b_tmp,
mont, ctx))
|| !TEST_true(BN_from_montgomery(ret, ret, mont, ctx))
|| !equalBN("A * B (mod M) (mont)", mod_mul, ret))
st = 0;
else
st = 1;
BN_MONT_CTX_free(mont);
BN_free(a_tmp);
BN_free(b_tmp);
if (st == 0)
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(m);
BN_free(mod_mul);
BN_free(ret);
return st;
}
static int file_modexp(STANZA *s)
{
BIGNUM *a = NULL, *e = NULL, *m = NULL, *mod_exp = NULL, *ret = NULL;
BIGNUM *b = NULL, *c = NULL, *d = NULL;
int st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(e = getBN(s, "E"))
|| !TEST_ptr(m = getBN(s, "M"))
|| !TEST_ptr(mod_exp = getBN(s, "ModExp"))
|| !TEST_ptr(ret = BN_new())
|| !TEST_ptr(d = BN_new()))
goto err;
if (!TEST_true(BN_mod_exp(ret, a, e, m, ctx))
|| !equalBN("A ^ E (mod M)", mod_exp, ret))
goto err;
if (BN_is_odd(m)) {
if (!TEST_true(BN_mod_exp_mont(ret, a, e, m, ctx, NULL))
|| !equalBN("A ^ E (mod M) (mont)", mod_exp, ret)
|| !TEST_true(BN_mod_exp_mont_consttime(ret, a, e, m,
ctx, NULL))
|| !equalBN("A ^ E (mod M) (mont const", mod_exp, ret))
goto err;
}
/* Regression test for carry propagation bug in sqr8x_reduction */
BN_hex2bn(&a, "050505050505");
BN_hex2bn(&b, "02");
BN_hex2bn(&c,
"4141414141414141414141274141414141414141414141414141414141414141"
"4141414141414141414141414141414141414141414141414141414141414141"
"4141414141414141414141800000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000001");
if (!TEST_true(BN_mod_exp(d, a, b, c, ctx))
|| !TEST_true(BN_mul(e, a, a, ctx))
|| !TEST_BN_eq(d, e))
goto err;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return (1);
BN_free(m);
BN_free(mod_exp);
BN_free(ret);
return st;
}
int test_rshift1(BIO *bp)
static int file_exp(STANZA *s)
{
BIGNUM *a, *b, *c;
int i;
BIGNUM *a = NULL, *e = NULL, *exp = NULL, *ret = NULL;
int st = 0;
a = BN_new();
b = BN_new();
c = BN_new();
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(e = getBN(s, "E"))
|| !TEST_ptr(exp = getBN(s, "Exp"))
|| !TEST_ptr(ret = BN_new()))
goto err;
BN_bntest_rand(a, 200, 0, 0);
a->neg = rand_neg();
for (i = 0; i < num0; i++) {
BN_rshift1(b, a);
if (bp != NULL) {
if (!results) {
BN_print(bp, a);
BIO_puts(bp, " / 2");
BIO_puts(bp, " - ");
}
BN_print(bp, b);
BIO_puts(bp, "\n");
}
BN_sub(c, a, b);
BN_sub(c, c, b);
if (!BN_is_zero(c) && !BN_abs_is_word(c, 1)) {
fprintf(stderr, "Right shift one test failed!\n");
return 0;
}
BN_copy(a, b);
if (!TEST_true(BN_exp(ret, a, e, ctx))
|| !equalBN("A ^ E", exp, ret))
goto err;
st = 1;
err:
BN_free(a);
BN_free(e);
BN_free(exp);
BN_free(ret);
return st;
}
static int file_modsqrt(STANZA *s)
{
BIGNUM *a = NULL, *p = NULL, *mod_sqrt = NULL, *ret = NULL, *ret2 = NULL;
int st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(p = getBN(s, "P"))
|| !TEST_ptr(mod_sqrt = getBN(s, "ModSqrt"))
|| !TEST_ptr(ret = BN_new())
|| !TEST_ptr(ret2 = BN_new()))
goto err;
/* There are two possible answers. */
if (!TEST_true(BN_mod_sqrt(ret, a, p, ctx))
|| !TEST_true(BN_sub(ret2, p, ret)))
goto err;
/* The first condition should NOT be a test. */
if (BN_cmp(ret2, mod_sqrt) != 0
&& !equalBN("sqrt(A) (mod P)", mod_sqrt, ret))
goto err;
st = 1;
err:
BN_free(a);
BN_free(p);
BN_free(mod_sqrt);
BN_free(ret);
BN_free(ret2);
return st;
}
static int test_bn2padded(void)
{
#if HAVE_BN_PADDED
uint8_t zeros[256], out[256], reference[128];
BIGNUM *n = BN_new();
int st = 0;
/* Test edge case at 0. */
if (n == NULL)
goto err;
if (!TEST_true(BN_bn2bin_padded(NULL, 0, n)))
goto err;
memset(out, -1, sizeof(out));
if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n))
goto err;
memset(zeros, 0, sizeof(zeros));
if (!TEST_mem_eq(zeros, sizeof(zeros), out, sizeof(out)))
goto err;
/* Test a random numbers at various byte lengths. */
for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
#define TOP_BIT_ON 0
#define BOTTOM_BIT_NOTOUCH 0
if (!TEST_true(BN_rand(n, bytes * 8, TOP_BIT_ON, BOTTOM_BIT_NOTOUCH)))
goto err;
if (!TEST_int_eq(BN_num_bytes(n),A) bytes
|| TEST_int_eq(BN_bn2bin(n, reference), bytes))
goto err;
/* Empty buffer should fail. */
if (!TEST_int_eq(BN_bn2bin_padded(NULL, 0, n)), 0)
goto err;
/* One byte short should fail. */
if (BN_bn2bin_padded(out, bytes - 1, n))
goto err;
/* Exactly right size should encode. */
if (!TEST_true(BN_bn2bin_padded(out, bytes, n))
|| TEST_mem_eq(out, bytes, reference, bytes))
goto err;
/* Pad up one byte extra. */
if (!TEST_true(BN_bn2bin_padded(out, bytes + 1, n))
|| !TEST_mem_eq(out + 1, bytes, reference, bytes)
|| !TEST_mem_eq(out, 1, zeros, 1))
goto err;
/* Pad up to 256. */
if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n)
|| !TEST_mem_eq(out + sizeof(out) - bytes, bytes,
reference, bytes)
|| !TEST_mem_eq(out, sizseof(out) - bytes,
zeros, sizeof(out) - bytes))
goto err;
}
st = 1;
err:
BN_free(n);
return st;
#else
return ctx != NULL;
#endif
}
static int test_dec2bn(void)
{
BIGNUM *bn = NULL;
int st = 0;
if (!TEST_int_eq(parsedecBN(&bn, "0"), 1)
|| !TEST_BN_eq_word(bn, 0)
|| !TEST_BN_eq_zero(bn)
|| !TEST_BN_le_zero(bn)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parsedecBN(&bn, "256"), 3)
|| !TEST_BN_eq_word(bn, 256)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_gt_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parsedecBN(&bn, "-42"), 3)
|| !TEST_BN_abs_eq_word(bn, 42)
|| !TEST_BN_lt_zero(bn)
|| !TEST_BN_le_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parsedecBN(&bn, "1"), 1)
|| !TEST_BN_eq_word(bn, 1)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_gt_zero(bn)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_eq_one(bn)
|| !TEST_BN_odd(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parsedecBN(&bn, "-0"), 2)
|| !TEST_BN_eq_zero(bn)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_le_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parsedecBN(&bn, "42trailing garbage is ignored"), 2)
|| !TEST_BN_abs_eq_word(bn, 42)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_gt_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_even(bn))
goto err;
st = 1;
err:
BN_free(bn);
return st;
}
static int test_hex2bn(void)
{
BIGNUM *bn = NULL;
int st = 0;
if (!TEST_int_eq(parseBN(&bn, "0"), 1)
|| !TEST_BN_eq_zero(bn)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parseBN(&bn, "256"), 3)
|| !TEST_BN_eq_word(bn, 0x256)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_gt_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parseBN(&bn, "-42"), 3)
|| !TEST_BN_abs_eq_word(bn, 0x42)
|| !TEST_BN_lt_zero(bn)
|| !TEST_BN_le_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parseBN(&bn, "cb"), 2)
|| !TEST_BN_eq_word(bn, 0xCB)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_gt_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_odd(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parseBN(&bn, "-0"), 2)
|| !TEST_BN_eq_zero(bn)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_le_zero(bn)
|| !TEST_BN_even(bn))
goto err;
BN_free(bn);
bn = NULL;
if (!TEST_int_eq(parseBN(&bn, "abctrailing garbage is ignored"), 3)
|| !TEST_BN_eq_word(bn, 0xabc)
|| !TEST_BN_ge_zero(bn)
|| !TEST_BN_gt_zero(bn)
|| !TEST_BN_ne_zero(bn)
|| !TEST_BN_even(bn))
goto err;
st = 1;
err:
BN_free(bn);
return st;
}
static int test_asc2bn(void)
{
BIGNUM *bn = NULL;
int st = 0;
if (!TEST_ptr(bn = BN_new()))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "0"))
|| !TEST_BN_eq_zero(bn)
|| !TEST_BN_ge_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "256"))
|| !TEST_BN_eq_word(bn, 256)
|| !TEST_BN_ge_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "-42"))
|| !TEST_BN_abs_eq_word(bn, 42)
|| !TEST_BN_lt_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "0x1234"))
|| !TEST_BN_eq_word(bn, 0x1234)
|| !TEST_BN_ge_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "0X1234"))
|| !TEST_BN_eq_word(bn, 0x1234)
|| !TEST_BN_ge_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "-0xabcd"))
|| !TEST_BN_abs_eq_word(bn, 0xabcd)
|| !TEST_BN_lt_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "-0"))
|| !TEST_BN_eq_zero(bn)
|| !TEST_BN_ge_zero(bn))
goto err;
if (!TEST_true(BN_asc2bn(&bn, "123trailing garbage is ignored"))
|| !TEST_BN_eq_word(bn, 123)
|| !TEST_BN_ge_zero(bn))
goto err;
st = 1;
err:
BN_free(bn);
return st;
}
static const MPITEST kMPITests[] = {
{"0", "\x00\x00\x00\x00", 4},
{"1", "\x00\x00\x00\x01\x01", 5},
{"-1", "\x00\x00\x00\x01\x81", 5},
{"128", "\x00\x00\x00\x02\x00\x80", 6},
{"256", "\x00\x00\x00\x02\x01\x00", 6},
{"-256", "\x00\x00\x00\x02\x81\x00", 6},
};
static int test_mpi(int i)
{
uint8_t scratch[8];
const MPITEST *test = &kMPITests[i];
size_t mpi_len, mpi_len2;
BIGNUM *bn = NULL;
BIGNUM *bn2 = NULL;
int st = 0;
if (!TEST_ptr(bn = BN_new())
|| !TEST_true(BN_asc2bn(&bn, test->base10)))
goto err;
mpi_len = BN_bn2mpi(bn, NULL);
if (!TEST_size_t_le(mpi_len, sizeof(scratch)))
goto err;
if (!TEST_size_t_eq(mpi_len2 = BN_bn2mpi(bn, scratch), mpi_len)
|| !TEST_mem_eq(test->mpi, test->mpi_len, scratch, mpi_len))
goto err;
if (!TEST_ptr(bn2 = BN_mpi2bn(scratch, mpi_len, NULL)))
goto err;
if (!TEST_BN_eq(bn, bn2)) {
BN_free(bn2);
goto err;
}
BN_free(bn2);
st = 1;
err:
BN_free(bn);
return st;
}
static int test_rand(void)
{
BIGNUM *bn = NULL;
int st = 0;
if (!TEST_ptr(bn = BN_new()))
return 0;
/* Test BN_rand for degenerate cases with |top| and |bottom| parameters. */
if (!TEST_false(BN_rand(bn, 0, 0 /* top */ , 0 /* bottom */ ))
|| !TEST_false(BN_rand(bn, 0, 1 /* top */ , 1 /* bottom */ ))
|| !TEST_true(BN_rand(bn, 1, 0 /* top */ , 0 /* bottom */ ))
|| !TEST_BN_eq_one(bn)
|| !TEST_false(BN_rand(bn, 1, 1 /* top */ , 0 /* bottom */ ))
|| !TEST_true(BN_rand(bn, 1, -1 /* top */ , 1 /* bottom */ ))
|| !TEST_BN_eq_one(bn)
|| !TEST_true(BN_rand(bn, 2, 1 /* top */ , 0 /* bottom */ ))
|| !TEST_BN_eq_word(bn, 3))
goto err;
st = 1;
err:
BN_free(bn);
return st;
}
static int test_negzero(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
BIGNUM *numerator = NULL, *denominator = NULL;
int consttime, st = 0;
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(c = BN_new())
|| !TEST_ptr(d = BN_new()))
goto err;
/* Test that BN_mul never gives negative zero. */
if (!TEST_true(BN_set_word(a, 1)))
goto err;
BN_set_negative(a, 1);
BN_zero(b);
if (!TEST_true(BN_mul(c, a, b, ctx)))
goto err;
if (!TEST_BN_eq_zero(c)
|| !TEST_BN_ge_zero(c))
goto err;
for (consttime = 0; consttime < 2; consttime++) {
if (!TEST_ptr(numerator = BN_new())
|| !TEST_ptr(denominator = BN_new()))
goto err;
if (consttime) {
BN_set_flags(numerator, BN_FLG_CONSTTIME);
BN_set_flags(denominator, BN_FLG_CONSTTIME);
}
/* Test that BN_div never gives negative zero in the quotient. */
if (!TEST_true(BN_set_word(numerator, 1))
|| !TEST_true(BN_set_word(denominator, 2)))
goto err;
BN_set_negative(numerator, 1);
if (!TEST_true(BN_div(a, b, numerator, denominator, ctx))
|| !TEST_BN_eq_zero(a)
|| !TEST_BN_ge_zero(a))
goto err;
/* Test that BN_div never gives negative zero in the remainder. */
if (!TEST_true(BN_set_word(denominator, 1))
|| !TEST_true(BN_div(a, b, numerator, denominator, ctx))
|| !TEST_BN_eq_zero(b)
|| !TEST_BN_ge_zero(b))
goto err;
BN_free(numerator);
BN_free(denominator);
numerator = denominator = NULL;
}
/* Test that BN_set_negative will not produce a negative zero. */
BN_zero(a);
BN_set_negative(a, 1);
if (BN_is_negative(a))
goto err;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
return (1);
BN_free(d);
BN_free(numerator);
BN_free(denominator);
return st;
}
int rand_neg(void)
static int test_badmod(void)
{
static unsigned int neg = 0;
static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 };
BIGNUM *a = NULL, *b = NULL, *zero = NULL;
BN_MONT_CTX *mont = NULL;
int st = 0;
return (sign[(neg++) % 8]);
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(zero = BN_new())
|| !TEST_ptr(mont = BN_MONT_CTX_new()))
goto err;
BN_zero(zero);
if (!TEST_false(BN_div(a, b, BN_value_one(), zero, ctx)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_mod_mul(a, BN_value_one(), BN_value_one(), zero, ctx)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_mod_exp(a, BN_value_one(), BN_value_one(), zero, ctx)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
zero, ctx, NULL)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
zero, ctx, NULL)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_MONT_CTX_set(mont, zero, ctx)))
goto err;
ERR_clear_error();
/* Some operations also may not be used with an even modulus. */
if (!TEST_true(BN_set_word(b, 16)))
goto err;
if (!TEST_false(BN_MONT_CTX_set(mont, b, ctx)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
b, ctx, NULL)))
goto err;
ERR_clear_error();
if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
b, ctx, NULL)))
goto err;
ERR_clear_error();
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(zero);
BN_MONT_CTX_free(mont);
return st;
}
static int test_expmodzero(void)
{
BIGNUM *a = NULL, *r = NULL, *zero = NULL;
int st = 0;
if (!TEST_ptr(zero = BN_new())
|| !TEST_ptr(a = BN_new())
|| !TEST_ptr(r = BN_new()))
goto err;
BN_zero(zero);
if (!TEST_true(BN_mod_exp(r, a, zero, BN_value_one(), NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_mont(r, a, zero, BN_value_one(),
NULL, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_mont_consttime(r, a, zero,
BN_value_one(),
NULL, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_mont_word(r, 42, zero,
BN_value_one(), NULL, NULL))
|| !TEST_BN_eq_zero(r))
goto err;
st = 1;
err:
BN_free(zero);
BN_free(a);
BN_free(r);
return st;
}
static int test_smallprime(void)
{
static const int kBits = 10;
BIGNUM *r;
int st = 0;
if (!TEST_ptr(r = BN_new())
|| !TEST_true(BN_generate_prime_ex(r, (int)kBits, 0,
NULL, NULL, NULL))
|| !TEST_int_eq(BN_num_bits(r), kBits))
goto err;
st = 1;
err:
BN_free(r);
return st;
}
static int test_3_is_prime(void)
{
int ret = 0;
BIGNUM *r = NULL;
/*
* For a long time, small primes were not considered prime when
* do_trial_division was set.
*/
if (!TEST_ptr(r = BN_new())
|| !TEST_true(BN_set_word(r, 3))
|| !TEST_int_eq(BN_is_prime_fasttest_ex(r, 3 /* nchecks */, ctx,
0 /* do_trial_division */, NULL), 1)
|| !TEST_int_eq(BN_is_prime_fasttest_ex(r, 3 /* nchecks */, ctx,
1 /* do_trial_division */, NULL), 1))
goto err;
ret = 1;
err:
BN_free(r);
return ret;
}
static int file_test_run(STANZA *s)
{
static const FILETEST filetests[] = {
{"Sum", file_sum},
{"LShift1", file_lshift1},
{"LShift", file_lshift},
{"RShift", file_rshift},
{"Square", file_square},
{"Product", file_product},
{"Quotient", file_quotient},
{"ModMul", file_modmul},
{"ModExp", file_modexp},
{"Exp", file_exp},
{"ModSqrt", file_modsqrt},
};
int numtests = OSSL_NELEM(filetests);
const FILETEST *tp = filetests;
for ( ; --numtests >= 0; tp++) {
if (findattr(s, tp->name) != NULL) {
if (!tp->func(s)) {
TEST_info("%s:%d: Failed %s test",
s->test_file, s->start, tp->name);
return 0;
}
return 1;
}
}
TEST_info("%s:%d: Unknown test", s->test_file, s->start);
return 0;
}
static int run_file_tests(int i)
{
STANZA *s = NULL;
char *testfile = test_get_argument(i);
int c;
if (!TEST_ptr(s = OPENSSL_zalloc(sizeof(*s))))
return 0;
if (!test_start_file(s, testfile)) {
OPENSSL_free(s);
return 0;
}
/* Read test file. */
while (!BIO_eof(s->fp) && test_readstanza(s)) {
if (s->numpairs == 0)
continue;
if (!file_test_run(s))
s->errors++;
s->numtests++;
test_clearstanza(s);
}
test_end_file(s);
c = s->errors;
OPENSSL_free(s);
return c == 0;
}
int setup_tests(void)
{
int n = test_get_argument_count();
if (!TEST_ptr(ctx = BN_CTX_new()))
return 0;
if (n == 0) {
ADD_TEST(test_sub);
ADD_TEST(test_div_recip);
ADD_TEST(test_mod);
ADD_TEST(test_modexp_mont5);
ADD_TEST(test_kronecker);
ADD_TEST(test_rand);
ADD_TEST(test_bn2padded);
ADD_TEST(test_dec2bn);
ADD_TEST(test_hex2bn);
ADD_TEST(test_asc2bn);
ADD_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests));
ADD_TEST(test_negzero);
ADD_TEST(test_badmod);
ADD_TEST(test_expmodzero);
ADD_TEST(test_smallprime);
#ifndef OPENSSL_NO_EC2M
ADD_TEST(test_gf2m_add);
ADD_TEST(test_gf2m_mod);
ADD_TEST(test_gf2m_mul);
ADD_TEST(test_gf2m_sqr);
ADD_TEST(test_gf2m_modinv);
ADD_TEST(test_gf2m_moddiv);
ADD_TEST(test_gf2m_modexp);
ADD_TEST(test_gf2m_modsqrt);
ADD_TEST(test_gf2m_modsolvequad);
#endif
ADD_TEST(test_3_is_prime);
} else {
ADD_ALL_TESTS(run_file_tests, n);
}
return 1;
}
void cleanup_tests(void)
{
BN_CTX_free(ctx);
}