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openssl/test/bntest.c
Matt Caswell da1c088f59 Copyright year updates 
Reviewed-by: Richard Levitte <levitte@openssl.org>
Release: yes
2023-09-07 09:59:15 +01:00

3326 lines
103 KiB
C
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/*
* Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (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
*/
#include <assert.h>
#include <errno.h>
#include <stdio.h>
#include <string.h>
#ifdef __TANDEM
# include <strings.h> /* strcasecmp */
#endif
#include <ctype.h>
#include <openssl/bn.h>
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/rand.h>
#include "internal/nelem.h"
#include "internal/numbers.h"
#include "testutil.h"
/*
* Things in boring, not in openssl.
*/
#define HAVE_BN_SQRT 0
typedef struct filetest_st {
const char *name;
int (*func)(STANZA *s);
} FILETEST;
typedef struct mpitest_st {
const char *base10;
const char *mpi;
size_t mpi_len;
} MPITEST;
static const int NUM0 = 100; /* number of tests */
static const int NUM1 = 50; /* additional tests for some functions */
static const int NUM_PRIME_TESTS = 20;
static BN_CTX *ctx;
/*
* Polynomial coefficients used in GFM tests.
*/
#ifndef OPENSSL_NO_EC2M
static int p0[] = { 163, 7, 6, 3, 0, -1 };
static int p1[] = { 193, 15, 0, -1 };
#endif
/*
* 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;
for ( ; --i >= 0; pp++)
if (OPENSSL_strcasecmp(pp->key, key) == 0)
return pp->value;
return NULL;
}
/*
* Parse BIGNUM from sparse hex-strings, return |BN_hex2bn| result.
*/
static int parse_bigBN(BIGNUM **out, const char *bn_strings[])
{
char *bigstring = glue_strings(bn_strings, NULL);
int ret = BN_hex2bn(out, bigstring);
OPENSSL_free(bigstring);
return ret;
}
/*
* 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;
}
if (parseBN(&ret, hex) != (int)strlen(hex)) {
TEST_error("Could not decode '%s'", hex);
return NULL;
}
return ret;
}
static int getint(STANZA *s, int *out, const char *attribute)
{
BIGNUM *ret;
BN_ULONG word;
int st = 0;
if (!TEST_ptr(ret = getBN(s, attribute))
|| !TEST_ulong_le(word = BN_get_word(ret), INT_MAX))
goto err;
*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_swap(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
int top, cond, 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;
if (!(TEST_true(BN_bntest_rand(a, 1024, 1, 0))
&& TEST_true(BN_bntest_rand(b, 1024, 1, 0))
&& TEST_ptr(BN_copy(c, a))
&& TEST_ptr(BN_copy(d, b))))
goto err;
top = BN_num_bits(a) / BN_BITS2;
/* regular swap */
BN_swap(a, b);
if (!equalBN("swap", a, d)
|| !equalBN("swap", b, c))
goto err;
/* regular swap: same pointer */
BN_swap(a, a);
if (!equalBN("swap with same pointer", a, d))
goto err;
/* conditional swap: true */
cond = 1;
BN_consttime_swap(cond, a, b, top);
if (!equalBN("cswap true", a, c)
|| !equalBN("cswap true", b, d))
goto err;
/* conditional swap: true, same pointer */
BN_consttime_swap(cond, a, a, top);
if (!equalBN("cswap true", a, c))
goto err;
/* conditional swap: false */
cond = 0;
BN_consttime_swap(cond, a, b, top);
if (!equalBN("cswap false", a, c)
|| !equalBN("cswap false", b, d))
goto err;
/* conditional swap: false, same pointer */
BN_consttime_swap(cond, a, a, top);
if (!equalBN("cswap false", a, c))
goto err;
/* same tests but checking flag swap */
BN_set_flags(a, BN_FLG_CONSTTIME);
BN_swap(a, b);
if (!equalBN("swap, flags", a, d)
|| !equalBN("swap, flags", b, c)
|| !TEST_true(BN_get_flags(b, BN_FLG_CONSTTIME))
|| !TEST_false(BN_get_flags(a, BN_FLG_CONSTTIME)))
goto err;
cond = 1;
BN_consttime_swap(cond, a, b, top);
if (!equalBN("cswap true, flags", a, c)
|| !equalBN("cswap true, flags", b, d)
|| !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
|| !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
goto err;
cond = 0;
BN_consttime_swap(cond, a, b, top);
if (!equalBN("cswap false, flags", a, c)
|| !equalBN("cswap false, flags", b, d)
|| !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
|| !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
goto err;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
return st;
}
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) {
if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0)))
&& TEST_ptr(BN_copy(b, a))
&& TEST_int_ne(BN_set_bit(a, i), 0)
&& TEST_true(BN_add_word(b, i)))
goto err;
} else {
if (!TEST_true(BN_bntest_rand(b, 400 + i - NUM1, 0, 0)))
goto err;
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
}
if (!(TEST_true(BN_sub(c, a, b))
&& TEST_true(BN_add(c, c, b))
&& TEST_true(BN_sub(c, c, a))
&& TEST_BN_eq_zero(c)))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
return st;
}
static int test_div_recip(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
BN_RECP_CTX *recp = NULL;
int st = 0, i;
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;
for (i = 0; i < NUM0 + NUM1; i++) {
if (i < NUM1) {
if (!(TEST_true(BN_bntest_rand(a, 400, 0, 0))
&& TEST_ptr(BN_copy(b, a))
&& TEST_true(BN_lshift(a, a, i))
&& TEST_true(BN_add_word(a, i))))
goto err;
} else {
if (!(TEST_true(BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0))))
goto err;
}
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
if (!(TEST_true(BN_RECP_CTX_set(recp, b, ctx))
&& TEST_true(BN_div_recp(d, c, a, recp, ctx))
&& TEST_true(BN_mul(e, d, b, ctx))
&& TEST_true(BN_add(d, e, c))
&& TEST_true(BN_sub(d, d, a))
&& 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 st;
}
static struct {
int n, divisor, result, remainder;
} signed_mod_tests[] = {
{ 10, 3, 3, 1 },
{ -10, 3, -3, -1 },
{ 10, -3, -3, 1 },
{ -10, -3, 3, -1 },
};
static BIGNUM *set_signed_bn(int value)
{
BIGNUM *bn = BN_new();
if (bn == NULL)
return NULL;
if (!BN_set_word(bn, value < 0 ? -value : value)) {
BN_free(bn);
return NULL;
}
BN_set_negative(bn, value < 0);
return bn;
}
static int test_signed_mod_replace_ab(int n)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
int st = 0;
if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
|| !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
|| !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
|| !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
goto err;
if (TEST_true(BN_div(a, b, a, b, ctx))
&& TEST_BN_eq(a, c)
&& TEST_BN_eq(b, d))
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
return st;
}
static int test_signed_mod_replace_ba(int n)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
int st = 0;
if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
|| !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
|| !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
|| !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
goto err;
if (TEST_true(BN_div(b, a, a, b, ctx))
&& TEST_BN_eq(b, c)
&& TEST_BN_eq(a, d))
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
return st;
}
static int test_mod(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
int st = 0, i;
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;
if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!(TEST_true(BN_bntest_rand(b, 450 + i * 10, 0, 0))))
goto err;
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
if (!(TEST_true(BN_mod(c, a, b, ctx))
&& TEST_true(BN_div(d, e, a, b, ctx))
&& TEST_BN_eq(e, c)
&& TEST_true(BN_mul(c, d, b, ctx))
&& TEST_true(BN_add(d, c, e))
&& TEST_BN_eq(d, a)))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
BN_free(d);
BN_free(e);
return st;
}
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 = NULL, *p = NULL, *m = NULL, *d = NULL, *e = NULL;
BIGNUM *b = NULL, *n = NULL, *c = NULL;
BN_MONT_CTX *mont = NULL;
int st = 0;
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;
/* must be odd for montgomery */
if (!(TEST_true(BN_bntest_rand(m, 1024, 0, 1))
/* Zero exponent */
&& TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
goto err;
BN_zero(p);
if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL)))
goto err;
if (!TEST_BN_eq_one(d))
goto err;
/* Regression test for carry bug in mulx4x_mont */
if (!(TEST_true(BN_hex2bn(&a,
"7878787878787878787878787878787878787878787878787878787878787878"
"7878787878787878787878787878787878787878787878787878787878787878"
"7878787878787878787878787878787878787878787878787878787878787878"
"7878787878787878787878787878787878787878787878787878787878787878"))
&& TEST_true(BN_hex2bn(&b,
"095D72C08C097BA488C5E439C655A192EAFB6380073D8C2664668EDDB4060744"
"E16E57FB4EDB9AE10A0CEFCDC28A894F689A128379DB279D48A2E20849D68593"
"9B7803BCF46CEBF5C533FB0DD35B080593DE5472E3FE5DB951B8BFF9B4CB8F03"
"9CC638A5EE8CDD703719F8000E6A9F63BEED5F2FCD52FF293EA05A251BB4AB81"))
&& TEST_true(BN_hex2bn(&n,
"D78AF684E71DB0C39CFF4E64FB9DB567132CB9C50CC98009FEB820B26F2DED9B"
"91B9B5E2B83AE0AE4EB4E0523CA726BFBE969B89FD754F674CE99118C3F2D1C5"
"D81FDC7C54E02B60262B241D53C040E99E45826ECA37A804668E690E1AFC1CA4"
"2C9A15D84D4954425F0B7642FC0BD9D7B24E2618D2DCC9B729D944BADACFDDAF"))))
goto err;
if (!(TEST_true(BN_MONT_CTX_set(mont, n, ctx))
&& TEST_true(BN_mod_mul_montgomery(c, a, b, mont, ctx))
&& TEST_true(BN_mod_mul_montgomery(d, b, a, mont, ctx))
&& TEST_BN_eq(c, d)))
goto err;
/* Regression test for carry bug in sqr[x]8x_mont */
if (!(TEST_true(parse_bigBN(&n, bn1strings))
&& TEST_true(parse_bigBN(&a, bn2strings))))
goto err;
BN_free(b);
if (!(TEST_ptr(b = BN_dup(a))
&& TEST_true(BN_MONT_CTX_set(mont, n, ctx))
&& TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
&& TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
&& TEST_BN_eq(c, d)))
goto err;
/* 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
};
if (!(TEST_true(parse_bigBN(&a, ahex))
&& TEST_true(parse_bigBN(&n, nhex))))
goto err;
}
BN_free(b);
if (!(TEST_ptr(b = BN_dup(a))
&& TEST_true(BN_MONT_CTX_set(mont, n, ctx))))
goto err;
if (!TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
|| !TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
|| !TEST_BN_eq(c, d))
goto err;
/* Regression test for bug in BN_from_montgomery_word */
if (!(TEST_true(BN_hex2bn(&a,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
&& TEST_true(BN_hex2bn(&n,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
&& TEST_true(BN_MONT_CTX_set(mont, n, ctx))
&& TEST_false(BN_mod_mul_montgomery(d, a, a, mont, ctx))))
goto err;
/* Regression test for bug in rsaz_1024_mul_avx2 */
if (!(TEST_true(BN_hex2bn(&a,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
&& TEST_true(BN_hex2bn(&b,
"2020202020202020202020202020202020202020202020202020202020202020"
"2020202020202020202020202020202020202020202020202020202020202020"
"20202020202020FF202020202020202020202020202020202020202020202020"
"2020202020202020202020202020202020202020202020202020202020202020"))
&& TEST_true(BN_hex2bn(&n,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF"))
&& TEST_true(BN_MONT_CTX_set(mont, n, ctx))
&& TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))
&& TEST_true(BN_mod_exp_mont(d, a, b, n, ctx, mont))
&& TEST_BN_eq(c, d)))
goto err;
/*
* rsaz_1024_mul_avx2 expects fully-reduced inputs.
* BN_mod_exp_mont_consttime should reduce the input first.
*/
if (!(TEST_true(BN_hex2bn(&a,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
&& TEST_true(BN_hex2bn(&b,
"1FA53F26F8811C58BE0357897AA5E165693230BC9DF5F01DFA6A2D59229EC69D"
"9DE6A89C36E3B6957B22D6FAAD5A3C73AE587B710DBE92E83D3A9A3339A085CB"
"B58F508CA4F837924BB52CC1698B7FDC2FD74362456A595A5B58E38E38E38E38"
"E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E"))
&& TEST_true(BN_hex2bn(&n,
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
&& TEST_true(BN_MONT_CTX_set(mont, n, ctx))
&& TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))))
goto err;
BN_zero(d);
if (!TEST_BN_eq(c, d))
goto err;
/*
* Regression test for overflow bug in bn_sqr_comba4/8 for
* mips-linux-gnu and mipsel-linux-gnu 32bit targets.
*/
{
static const char *ehex[] = {
"95564994a96c45954227b845a1e99cb939d5a1da99ee91acc962396ae999a9ee",
"38603790448f2f7694c242a875f0cad0aae658eba085f312d2febbbd128dd2b5",
"8f7d1149f03724215d704344d0d62c587ae3c5939cba4b9b5f3dc5e8e911ef9a",
"5ce1a5a749a4989d0d8368f6e1f8cdf3a362a6c97fb02047ff152b480a4ad985",
"2d45efdf0770542992afca6a0590d52930434bba96017afbc9f99e112950a8b1",
"a359473ec376f329bdae6a19f503be6d4be7393c4e43468831234e27e3838680",
"b949390d2e416a3f9759e5349ab4c253f6f29f819a6fe4cbfd27ada34903300e",
"da021f62839f5878a36f1bc3085375b00fd5fa3e68d316c0fdace87a97558465",
NULL};
static const char *phex[] = {
"f95dc0f980fbd22e90caa5a387cc4a369f3f830d50dd321c40db8c09a7e1a241",
"a536e096622d3280c0c1ba849c1f4a79bf490f60006d081e8cf69960189f0d31",
"2cd9e17073a3fba7881b21474a13b334116cb2f5dbf3189a6de3515d0840f053",
"c776d3982d391b6d04d642dda5cc6d1640174c09875addb70595658f89efb439",
"dc6fbd55f903aadd307982d3f659207f265e1ec6271b274521b7a5e28e8fd7a5",
"5df089292820477802a43cf5b6b94e999e8c9944ddebb0d0e95a60f88cb7e813",
"ba110d20e1024774107dd02949031864923b3cb8c3f7250d6d1287b0a40db6a4",
"7bd5a469518eb65aa207ddc47d8c6e5fc8e0c105be8fc1d4b57b2e27540471d5",
NULL};
static const char *mhex[] = {
"fef15d5ce4625f1bccfbba49fc8439c72bf8202af039a2259678941b60bb4a8f",
"2987e965d58fd8cf86a856674d519763d0e1211cc9f8596971050d56d9b35db3",
"785866cfbca17cfdbed6060be3629d894f924a89fdc1efc624f80d41a22f1900",
"9503fcc3824ef62ccb9208430c26f2d8ceb2c63488ec4c07437aa4c96c43dd8b",
"9289ed00a712ff66ee195dc71f5e4ead02172b63c543d69baf495f5fd63ba7bc",
"c633bd309c016e37736da92129d0b053d4ab28d21ad7d8b6fab2a8bbdc8ee647",
"d2fbcf2cf426cf892e6f5639e0252993965dfb73ccd277407014ea784aaa280c",
"b7b03972bc8b0baa72360bdb44b82415b86b2f260f877791cd33ba8f2d65229b",
NULL};
if (!TEST_true(parse_bigBN(&e, ehex))
|| !TEST_true(parse_bigBN(&p, phex))
|| !TEST_true(parse_bigBN(&m, mhex))
|| !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;
}
/* Zero input */
if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0)))
goto err;
BN_zero(a);
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
* scattering/gathering.
*/
if (!(TEST_true(BN_one(a))
&& TEST_true(BN_MONT_CTX_set(mont, m, ctx))))
goto err;
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. */
if (!(TEST_true(BN_bntest_rand(e, 1024, 0, 0))
&& 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);
BN_free(b);
BN_free(n);
BN_free(c);
return st;
}
#ifndef OPENSSL_NO_EC2M
static int test_gf2m_add(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; i++) {
if (!(TEST_true(BN_rand(a, 512, 0, 0))
&& TEST_ptr(BN_copy(b, BN_value_one()))))
goto err;
BN_set_negative(a, rand_neg());
BN_set_negative(b, rand_neg());
if (!(TEST_true(BN_GF2m_add(c, a, b))
/* Test that two added values have the correct parity. */
&& TEST_false((BN_is_odd(a) && BN_is_odd(c))
|| (!BN_is_odd(a) && !BN_is_odd(c)))))
goto err;
if (!(TEST_true(BN_GF2m_add(c, c, c))
/* Test that c + c = 0. */
&& TEST_BN_eq_zero(c)))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(c);
return st;
}
static int test_gf2m_mod(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL, *e = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
&& TEST_true(BN_GF2m_add(d, a, c))
&& TEST_true(BN_GF2m_mod(e, d, b[j]))
/* Test that a + (a mod p) mod p == 0. */
&& TEST_BN_eq_zero(e)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
return st;
}
static int test_gf2m_mul(void)
{
BIGNUM *a, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL, *g = NULL, *h = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))
&& TEST_true(BN_bntest_rand(c, 1024, 0, 0))
&& TEST_true(BN_bntest_rand(d, 1024, 0, 0))))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod_mul(e, a, c, b[j], ctx))
&& TEST_true(BN_GF2m_add(f, a, d))
&& TEST_true(BN_GF2m_mod_mul(g, f, c, b[j], ctx))
&& TEST_true(BN_GF2m_mod_mul(h, d, c, b[j], ctx))
&& TEST_true(BN_GF2m_add(f, e, g))
&& TEST_true(BN_GF2m_add(f, f, h))
/* Test that (a+d)*c = a*c + d*c. */
&& TEST_BN_eq_zero(f)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
BN_free(g);
BN_free(h);
return st;
}
static int test_gf2m_sqr(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod_sqr(c, a, b[j], ctx))
&& TEST_true(BN_copy(d, a))
&& TEST_true(BN_GF2m_mod_mul(d, a, d, b[j], ctx))
&& TEST_true(BN_GF2m_add(d, c, d))
/* Test that a*a = a^2. */
&& TEST_BN_eq_zero(d)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
return st;
}
static int test_gf2m_modinv(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod_inv(c, a, b[j], ctx))
&& TEST_true(BN_GF2m_mod_mul(d, a, c, b[j], ctx))
/* Test that ((1/a)*a) = 1. */
&& TEST_BN_eq_one(d)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
return st;
}
static int test_gf2m_moddiv(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
&& TEST_true(BN_bntest_rand(c, 512, 0, 0))))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod_div(d, a, c, b[j], ctx))
&& TEST_true(BN_GF2m_mod_mul(e, d, c, b[j], ctx))
&& TEST_true(BN_GF2m_mod_div(f, a, e, b[j], ctx))
/* Test that ((a/c)*c)/a = 1. */
&& TEST_BN_eq_one(f)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
return st;
}
static int test_gf2m_modexp(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
&& TEST_true(BN_bntest_rand(c, 512, 0, 0))
&& TEST_true(BN_bntest_rand(d, 512, 0, 0))))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod_exp(e, a, c, b[j], ctx))
&& TEST_true(BN_GF2m_mod_exp(f, a, d, b[j], ctx))
&& TEST_true(BN_GF2m_mod_mul(e, e, f, b[j], ctx))
&& TEST_true(BN_add(f, c, d))
&& TEST_true(BN_GF2m_mod_exp(f, a, f, b[j], ctx))
&& TEST_true(BN_GF2m_add(f, e, f))
/* Test that a^(c+d)=a^c*a^d. */
&& TEST_BN_eq_zero(f)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
return st;
}
static int test_gf2m_modsqrt(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL, *f = NULL;
int i, j, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
goto err;
for (j = 0; j < 2; j++) {
if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
&& TEST_true(BN_GF2m_mod_sqrt(d, a, b[j], ctx))
&& TEST_true(BN_GF2m_mod_sqr(e, d, b[j], ctx))
&& TEST_true(BN_GF2m_add(f, c, e))
/* Test that d^2 = a, where d = sqrt(a). */
&& TEST_BN_eq_zero(f)))
goto err;
}
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
BN_free(f);
return st;
}
static int test_gf2m_modsolvequad(void)
{
BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
BIGNUM *e = NULL;
int i, j, s = 0, t, st = 0;
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;
if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
&& TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
goto err;
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
goto err;
for (j = 0; j < 2; j++) {
t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
if (t) {
s++;
if (!(TEST_true(BN_GF2m_mod_sqr(d, c, b[j], ctx))
&& TEST_true(BN_GF2m_add(d, c, d))
&& TEST_true(BN_GF2m_mod(e, a, b[j]))
&& TEST_true(BN_GF2m_add(e, e, d))
/*
* Test that solution of quadratic c
* satisfies c^2 + c = a.
*/
&& TEST_BN_eq_zero(e)))
goto err;
}
}
}
if (!TEST_int_ge(s, 0)) {
TEST_info("%d tests found no roots; probably an error", NUM0);
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b[0]);
BN_free(b[1]);
BN_free(c);
BN_free(d);
BN_free(e);
return st;
}
#endif
static int test_kronecker(void)
{
BIGNUM *a = NULL, *b = NULL, *r = NULL, *t = NULL;
int i, legendre, kronecker, st = 0;
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(r = BN_new())
|| !TEST_ptr(t = BN_new()))
goto err;
/*
* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol). In
* this case we know that if b is prime, then BN_kronecker(a, b, ctx) is
* congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol). So we
* generate a random prime b and compare these values for a number of
* random a's. (That is, we run the Solovay-Strassen primality test to
* confirm that b is prime, except that we don't want to test whether b
* is prime but whether BN_kronecker works.)
*/
if (!TEST_true(BN_generate_prime_ex(b, 512, 0, NULL, NULL, NULL)))
goto err;
BN_set_negative(b, rand_neg());
for (i = 0; i < NUM0; i++) {
if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
goto err;
BN_set_negative(a, rand_neg());
/* t := (|b|-1)/2 (note that b is odd) */
if (!TEST_true(BN_copy(t, b)))
goto err;
BN_set_negative(t, 0);
if (!TEST_true(BN_sub_word(t, 1)))
goto err;
if (!TEST_true(BN_rshift1(t, t)))
goto err;
/* r := a^t mod b */
BN_set_negative(b, 0);
if (!TEST_true(BN_mod_exp_recp(r, a, t, b, ctx)))
goto err;
BN_set_negative(b, 1);
if (BN_is_word(r, 1))
legendre = 1;
else if (BN_is_zero(r))
legendre = 0;
else {
if (!TEST_true(BN_add_word(r, 1)))
goto err;
if (!TEST_int_eq(BN_ucmp(r, b), 0)) {
TEST_info("Legendre symbol computation failed");
goto err;
}
legendre = -1;
}
if (!TEST_int_ge(kronecker = BN_kronecker(a, b, ctx), -1))
goto err;
/* we actually need BN_kronecker(a, |b|) */
if (BN_is_negative(a) && BN_is_negative(b))
kronecker = -kronecker;
if (!TEST_int_eq(legendre, kronecker))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(r);
BN_free(t);
return st;
}
static int file_sum(STANZA *s)
{
BIGNUM *a = NULL, *b = NULL, *sum = NULL, *ret = NULL;
BN_ULONG b_word;
int st = 0;
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;
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;
/*
* Test that the functions work when |r| and |a| point to the same BIGNUM,
* or when |r| and |b| point to the same BIGNUM.
* There is no test for all of |r|, |a|, and |b| pointint 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.
*/
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.
* There is no test for all of |r|, |a|, and |b| pointint 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;
}
/*
* 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;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(sum);
BN_free(ret);
return st;
}
static int file_lshift1(STANZA *s)
{
BIGNUM *a = NULL, *lshift1 = NULL, *zero = NULL, *ret = NULL;
BIGNUM *two = NULL, *remainder = NULL;
int st = 0;
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_zero(zero);
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(product);
BN_free(ret);
BN_free(remainder);
BN_free(zero);
return st;
}
static int file_quotient(STANZA *s)
{
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;
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;
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;
}
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);
BN_free(m);
BN_free(mod_exp);
BN_free(ret);
return st;
}
static int file_exp(STANZA *s)
{
BIGNUM *a = NULL, *e = NULL, *exp = NULL, *ret = NULL;
int st = 0;
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;
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;
if (BN_is_negative(mod_sqrt)) {
/* A negative testcase */
if (!TEST_ptr_null(BN_mod_sqrt(ret, a, p, ctx)))
goto err;
st = 1;
goto err;
}
/* There are two possible answers. */
if (!TEST_ptr(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 file_gcd(STANZA *s)
{
BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL;
int st = 0;
if (!TEST_ptr(a = getBN(s, "A"))
|| !TEST_ptr(b = getBN(s, "B"))
|| !TEST_ptr(gcd = getBN(s, "GCD"))
|| !TEST_ptr(ret = BN_new()))
goto err;
if (!TEST_true(BN_gcd(ret, a, b, ctx))
|| !equalBN("gcd(A,B)", gcd, ret))
goto err;
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(gcd);
BN_free(ret);
return st;
}
static int test_bn2padded(void)
{
uint8_t zeros[256], out[256], reference[128];
size_t bytes;
BIGNUM *n;
int st = 0;
/* Test edge case at 0. */
if (!TEST_ptr((n = BN_new())))
goto err;
if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), 0))
goto err;
memset(out, -1, sizeof(out));
if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out)))
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 (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), bytes)
|| !TEST_int_eq(BN_bn2bin(n, reference), bytes))
goto err;
/* Empty buffer should fail. */
if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), -1))
goto err;
/* One byte short should fail. */
if (!TEST_int_eq(BN_bn2binpad(n, out, bytes - 1), -1))
goto err;
/* Exactly right size should encode. */
if (!TEST_int_eq(BN_bn2binpad(n, out, bytes), bytes)
|| !TEST_mem_eq(out, bytes, reference, bytes))
goto err;
/* Pad up one byte extra. */
if (!TEST_int_eq(BN_bn2binpad(n, out, bytes + 1), bytes + 1)
|| !TEST_mem_eq(out + 1, bytes, reference, bytes)
|| !TEST_mem_eq(out, 1, zeros, 1))
goto err;
/* Pad up to 256. */
if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out))
|| !TEST_mem_eq(out + sizeof(out) - bytes, bytes,
reference, bytes)
|| !TEST_mem_eq(out, sizeof(out) - bytes,
zeros, sizeof(out) - bytes))
goto err;
}
st = 1;
err:
BN_free(n);
return st;
}
static const MPITEST kSignedTests_BE[] = {
{"-1", "\xff", 1},
{"0", "", 0},
{"1", "\x01", 1},
/*
* The above cover the basics, now let's go for possible bignum
* chunk edges and other word edges (for a broad definition of
* "word", i.e. 1 byte included).
*/
/* 1 byte edge */
{"127", "\x7f", 1},
{"-127", "\x81", 1},
{"128", "\x00\x80", 2},
{"-128", "\x80", 1},
{"129", "\x00\x81", 2},
{"-129", "\xff\x7f", 2},
{"255", "\x00\xff", 2},
{"-255", "\xff\x01", 2},
{"256", "\x01\x00", 2},
{"-256", "\xff\x00", 2},
/* 2 byte edge */
{"32767", "\x7f\xff", 2},
{"-32767", "\x80\x01", 2},
{"32768", "\x00\x80\x00", 3},
{"-32768", "\x80\x00", 2},
{"32769", "\x00\x80\x01", 3},
{"-32769", "\xff\x7f\xff", 3},
{"65535", "\x00\xff\xff", 3},
{"-65535", "\xff\x00\x01", 3},
{"65536", "\x01\x00\x00", 3},
{"-65536", "\xff\x00\x00", 3},
/* 4 byte edge */
{"2147483647", "\x7f\xff\xff\xff", 4},
{"-2147483647", "\x80\x00\x00\x01", 4},
{"2147483648", "\x00\x80\x00\x00\x00", 5},
{"-2147483648", "\x80\x00\x00\x00", 4},
{"2147483649", "\x00\x80\x00\x00\x01", 5},
{"-2147483649", "\xff\x7f\xff\xff\xff", 5},
{"4294967295", "\x00\xff\xff\xff\xff", 5},
{"-4294967295", "\xff\x00\x00\x00\x01", 5},
{"4294967296", "\x01\x00\x00\x00\x00", 5},
{"-4294967296", "\xff\x00\x00\x00\x00", 5},
/* 8 byte edge */
{"9223372036854775807", "\x7f\xff\xff\xff\xff\xff\xff\xff", 8},
{"-9223372036854775807", "\x80\x00\x00\x00\x00\x00\x00\x01", 8},
{"9223372036854775808", "\x00\x80\x00\x00\x00\x00\x00\x00\x00", 9},
{"-9223372036854775808", "\x80\x00\x00\x00\x00\x00\x00\x00", 8},
{"9223372036854775809", "\x00\x80\x00\x00\x00\x00\x00\x00\x01", 9},
{"-9223372036854775809", "\xff\x7f\xff\xff\xff\xff\xff\xff\xff", 9},
{"18446744073709551615", "\x00\xff\xff\xff\xff\xff\xff\xff\xff", 9},
{"-18446744073709551615", "\xff\x00\x00\x00\x00\x00\x00\x00\x01", 9},
{"18446744073709551616", "\x01\x00\x00\x00\x00\x00\x00\x00\x00", 9},
{"-18446744073709551616", "\xff\x00\x00\x00\x00\x00\x00\x00\x00", 9},
};
static int copy_reversed(uint8_t *dst, uint8_t *src, size_t len)
{
for (dst += len - 1; len > 0; src++, dst--, len--)
*dst = *src;
return 1;
}
static int test_bn2signed(int i)
{
uint8_t scratch[10], reversed[10];
const MPITEST *test = &kSignedTests_BE[i];
BIGNUM *bn = NULL, *bn2 = NULL;
int st = 0;
if (!TEST_ptr(bn = BN_new())
|| !TEST_true(BN_asc2bn(&bn, test->base10)))
goto err;
/*
* Check BN_signed_bn2bin() / BN_signed_bin2bn()
* The interesting stuff happens in the last bytes of the buffers,
* the beginning is just padding (i.e. sign extension).
*/
i = sizeof(scratch) - test->mpi_len;
if (!TEST_int_eq(BN_signed_bn2bin(bn, scratch, sizeof(scratch)),
sizeof(scratch))
|| !TEST_true(copy_reversed(reversed, scratch, sizeof(scratch)))
|| !TEST_mem_eq(test->mpi, test->mpi_len, scratch + i, test->mpi_len))
goto err;
if (!TEST_ptr(bn2 = BN_signed_bin2bn(scratch, sizeof(scratch), NULL))
|| !TEST_BN_eq(bn, bn2))
goto err;
BN_free(bn2);
bn2 = NULL;
/* Check that a parse of the reversed buffer works too */
if (!TEST_ptr(bn2 = BN_signed_lebin2bn(reversed, sizeof(reversed), NULL))
|| !TEST_BN_eq(bn, bn2))
goto err;
BN_free(bn2);
bn2 = NULL;
/*
* Check BN_signed_bn2lebin() / BN_signed_lebin2bn()
* The interesting stuff happens in the first bytes of the buffers,
* the end is just padding (i.e. sign extension).
*/
i = sizeof(reversed) - test->mpi_len;
if (!TEST_int_eq(BN_signed_bn2lebin(bn, scratch, sizeof(scratch)),
sizeof(scratch))
|| !TEST_true(copy_reversed(reversed, scratch, sizeof(scratch)))
|| !TEST_mem_eq(test->mpi, test->mpi_len, reversed + i, test->mpi_len))
goto err;
if (!TEST_ptr(bn2 = BN_signed_lebin2bn(scratch, sizeof(scratch), NULL))
|| !TEST_BN_eq(bn, bn2))
goto err;
BN_free(bn2);
bn2 = NULL;
/* Check that a parse of the reversed buffer works too */
if (!TEST_ptr(bn2 = BN_signed_bin2bn(reversed, sizeof(reversed), NULL))
|| !TEST_BN_eq(bn, bn2))
goto err;
st = 1;
err:
BN_free(bn2);
BN_free(bn);
return st;
}
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_bin2zero(void)
{
unsigned char input[] = { 0 };
BIGNUM *zbn = NULL;
int ret = 0;
if (!TEST_ptr(zbn = BN_new()))
goto err;
#define zerotest(fn) \
if (!TEST_ptr(fn(input, 1, zbn)) \
|| !TEST_true(BN_is_zero(zbn)) \
|| !TEST_ptr(fn(input, 0, zbn)) \
|| !TEST_true(BN_is_zero(zbn)) \
|| !TEST_ptr(fn(NULL, 0, zbn)) \
|| !TEST_true(BN_is_zero(zbn))) \
goto err
zerotest(BN_bin2bn);
zerotest(BN_signed_bin2bn);
zerotest(BN_lebin2bn);
zerotest(BN_signed_lebin2bn);
#undef zerotest
ret = 1;
err:
BN_free(zbn);
return ret;
}
static int test_bin2bn_lengths(void)
{
unsigned char input[] = { 1, 2 };
BIGNUM *bn_be = NULL, *bn_expected_be = NULL;
BIGNUM *bn_le = NULL, *bn_expected_le = NULL;
int ret = 0;
if (!TEST_ptr(bn_be = BN_new())
|| !TEST_ptr(bn_expected_be = BN_new())
|| !TEST_true(BN_set_word(bn_expected_be, 0x102))
|| !TEST_ptr(bn_le = BN_new())
|| !TEST_ptr(bn_expected_le = BN_new())
|| !TEST_true(BN_set_word(bn_expected_le, 0x201)))
goto err;
#define lengthtest(fn, e) \
if (!TEST_ptr_null(fn(input, -1, bn_##e)) \
|| !TEST_ptr(fn(input, 0, bn_##e)) \
|| !TEST_true(BN_is_zero(bn_##e)) \
|| !TEST_ptr(fn(input, 2, bn_##e)) \
|| !TEST_int_eq(BN_cmp(bn_##e, bn_expected_##e), 0)) \
goto err
lengthtest(BN_bin2bn, be);
lengthtest(BN_signed_bin2bn, be);
lengthtest(BN_lebin2bn, le);
lengthtest(BN_signed_lebin2bn, le);
#undef lengthtest
ret = 1;
err:
BN_free(bn_be);
BN_free(bn_expected_be);
BN_free(bn_le);
BN_free(bn_expected_le);
return ret;
}
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;
}
/*
* Run some statistical tests to provide a degree confidence that the
* BN_rand_range() function works as expected. The test cases and
* critical values are generated by the bn_rand_range script.
*
* Each individual test is a Chi^2 goodness of fit for a specified number
* of samples and range. The samples are assumed to be independent and
* that they are from a discrete uniform distribution.
*
* Some of these individual tests are expected to fail, the success/failure
* of each is an independent Bernoulli trial. The number of such successes
* will form a binomial distribution. The count of the successes is compared
* against a precomputed critical value to determine the overall outcome.
*/
struct rand_range_case {
unsigned int range;
unsigned int iterations;
double critical;
};
#include "bn_rand_range.h"
static int test_rand_range_single(size_t n)
{
const unsigned int range = rand_range_cases[n].range;
const unsigned int iterations = rand_range_cases[n].iterations;
const double critical = rand_range_cases[n].critical;
const double expected = iterations / (double)range;
double sum = 0;
BIGNUM *rng = NULL, *val = NULL;
size_t *counts;
unsigned int i, v;
int res = 0;
if (!TEST_ptr(counts = OPENSSL_zalloc(sizeof(*counts) * range))
|| !TEST_ptr(rng = BN_new())
|| !TEST_ptr(val = BN_new())
|| !TEST_true(BN_set_word(rng, range)))
goto err;
for (i = 0; i < iterations; i++) {
if (!TEST_true(BN_rand_range(val, rng))
|| !TEST_uint_lt(v = (unsigned int)BN_get_word(val), range))
goto err;
counts[v]++;
}
for (i = 0; i < range; i++) {
const double delta = counts[i] - expected;
sum += delta * delta;
}
sum /= expected;
if (sum > critical) {
TEST_info("Chi^2 test negative %.4f > %4.f", sum, critical);
TEST_note("test case %zu range %u iterations %u", n + 1, range,
iterations);
goto err;
}
res = 1;
err:
BN_free(rng);
BN_free(val);
OPENSSL_free(counts);
return res;
}
static int test_rand_range(void)
{
int n_success = 0;
size_t i;
for (i = 0; i < OSSL_NELEM(rand_range_cases); i++)
n_success += test_rand_range_single(i);
if (TEST_int_ge(n_success, binomial_critical))
return 1;
TEST_note("This test is expected to fail by chance 0.01%% of the time.");
return 0;
}
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);
BN_free(d);
BN_free(numerator);
BN_free(denominator);
return st;
}
static int test_badmod(void)
{
BIGNUM *a = NULL, *b = NULL, *zero = NULL;
BN_MONT_CTX *mont = NULL;
int st = 0;
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_expmodone(void)
{
int ret = 0, i;
BIGNUM *r = BN_new();
BIGNUM *a = BN_new();
BIGNUM *p = BN_new();
BIGNUM *m = BN_new();
if (!TEST_ptr(r)
|| !TEST_ptr(a)
|| !TEST_ptr(p)
|| !TEST_ptr(p)
|| !TEST_ptr(m)
|| !TEST_true(BN_set_word(a, 1))
|| !TEST_true(BN_set_word(p, 0))
|| !TEST_true(BN_set_word(m, 1)))
goto err;
/* Calculate r = 1 ^ 0 mod 1, and check the result is always 0 */
for (i = 0; i < 2; i++) {
if (!TEST_true(BN_mod_exp(r, a, p, m, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_mont(r, a, p, m, NULL, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_mont_consttime(r, a, p, m, NULL, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_mont_word(r, 1, p, m, NULL, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_simple(r, a, p, m, NULL))
|| !TEST_BN_eq_zero(r)
|| !TEST_true(BN_mod_exp_recp(r, a, p, m, NULL))
|| !TEST_BN_eq_zero(r))
goto err;
/* Repeat for r = 1 ^ 0 mod -1 */
if (i == 0)
BN_set_negative(m, 1);
}
ret = 1;
err:
BN_free(r);
BN_free(a);
BN_free(p);
BN_free(m);
return ret;
}
static int test_smallprime(int kBits)
{
BIGNUM *r;
int st = 0;
if (!TEST_ptr(r = BN_new()))
goto err;
if (kBits <= 1) {
if (!TEST_false(BN_generate_prime_ex(r, kBits, 0,
NULL, NULL, NULL)))
goto err;
} else {
if (!TEST_true(BN_generate_prime_ex(r, 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_smallsafeprime(int kBits)
{
BIGNUM *r;
int st = 0;
if (!TEST_ptr(r = BN_new()))
goto err;
if (kBits <= 5 && kBits != 3) {
if (!TEST_false(BN_generate_prime_ex(r, kBits, 1,
NULL, NULL, NULL)))
goto err;
} else {
if (!TEST_true(BN_generate_prime_ex(r, kBits, 1,
NULL, NULL, NULL))
|| !TEST_int_eq(BN_num_bits(r), kBits))
goto err;
}
st = 1;
err:
BN_free(r);
return st;
}
static int primes[] = { 2, 3, 5, 7, 17863 };
static int test_is_prime(int i)
{
int ret = 0;
BIGNUM *r = NULL;
int trial;
if (!TEST_ptr(r = BN_new()))
goto err;
for (trial = 0; trial <= 1; ++trial) {
if (!TEST_true(BN_set_word(r, primes[i]))
|| !TEST_int_eq(BN_check_prime(r, ctx, NULL),
1))
goto err;
}
ret = 1;
err:
BN_free(r);
return ret;
}
static int not_primes[] = { -1, 0, 1, 4 };
static int test_not_prime(int i)
{
int ret = 0;
BIGNUM *r = NULL;
int trial;
if (!TEST_ptr(r = BN_new()))
goto err;
for (trial = 0; trial <= 1; ++trial) {
if (!TEST_true(BN_set_word(r, not_primes[i]))
|| !TEST_false(BN_check_prime(r, ctx, NULL)))
goto err;
}
ret = 1;
err:
BN_free(r);
return ret;
}
static int test_ctx_set_ct_flag(BN_CTX *c)
{
int st = 0;
size_t i;
BIGNUM *b[15];
BN_CTX_start(c);
for (i = 0; i < OSSL_NELEM(b); i++) {
if (!TEST_ptr(b[i] = BN_CTX_get(c)))
goto err;
if (i % 2 == 1)
BN_set_flags(b[i], BN_FLG_CONSTTIME);
}
st = 1;
err:
BN_CTX_end(c);
return st;
}
static int test_ctx_check_ct_flag(BN_CTX *c)
{
int st = 0;
size_t i;
BIGNUM *b[30];
BN_CTX_start(c);
for (i = 0; i < OSSL_NELEM(b); i++) {
if (!TEST_ptr(b[i] = BN_CTX_get(c)))
goto err;
if (!TEST_false(BN_get_flags(b[i], BN_FLG_CONSTTIME)))
goto err;
}
st = 1;
err:
BN_CTX_end(c);
return st;
}
static int test_ctx_consttime_flag(void)
{
/*-
* The constant-time flag should not "leak" among BN_CTX frames:
*
* - test_ctx_set_ct_flag() starts a frame in the given BN_CTX and
* sets the BN_FLG_CONSTTIME flag on some of the BIGNUMs obtained
* from the frame before ending it.
* - test_ctx_check_ct_flag() then starts a new frame and gets a
* number of BIGNUMs from it. In absence of leaks, none of the
* BIGNUMs in the new frame should have BN_FLG_CONSTTIME set.
*
* In actual BN_CTX usage inside libcrypto the leak could happen at
* any depth level in the BN_CTX stack, with varying results
* depending on the patterns of sibling trees of nested function
* calls sharing the same BN_CTX object, and the effect of
* unintended BN_FLG_CONSTTIME on the called BN_* functions.
*
* This simple unit test abstracts away this complexity and verifies
* that the leak does not happen between two sibling functions
* sharing the same BN_CTX object at the same level of nesting.
*
*/
BN_CTX *nctx = NULL;
BN_CTX *sctx = NULL;
size_t i = 0;
int st = 0;
if (!TEST_ptr(nctx = BN_CTX_new())
|| !TEST_ptr(sctx = BN_CTX_secure_new()))
goto err;
for (i = 0; i < 2; i++) {
BN_CTX *c = i == 0 ? nctx : sctx;
if (!TEST_true(test_ctx_set_ct_flag(c))
|| !TEST_true(test_ctx_check_ct_flag(c)))
goto err;
}
st = 1;
err:
BN_CTX_free(nctx);
BN_CTX_free(sctx);
return st;
}
static int test_coprime(void)
{
BIGNUM *a = NULL, *b = NULL;
int ret = 0;
ret = TEST_ptr(a = BN_new())
&& TEST_ptr(b = BN_new())
&& TEST_true(BN_set_word(a, 66))
&& TEST_true(BN_set_word(b, 99))
&& TEST_int_eq(BN_are_coprime(a, b, ctx), 0)
&& TEST_int_eq(BN_are_coprime(b, a, ctx), 0)
&& TEST_true(BN_set_word(a, 67))
&& TEST_int_eq(BN_are_coprime(a, b, ctx), 1)
&& TEST_int_eq(BN_are_coprime(b, a, ctx), 1);
BN_free(a);
BN_free(b);
return ret;
}
static int test_gcd_prime(void)
{
BIGNUM *a = NULL, *b = NULL, *gcd = NULL;
int i, st = 0;
if (!TEST_ptr(a = BN_new())
|| !TEST_ptr(b = BN_new())
|| !TEST_ptr(gcd = BN_new()))
goto err;
if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL)))
goto err;
for (i = 0; i < NUM_PRIME_TESTS; i++) {
if (!TEST_true(BN_generate_prime_ex(b, 1024, 0,
NULL, NULL, NULL))
|| !TEST_true(BN_gcd(gcd, a, b, ctx))
|| !TEST_true(BN_is_one(gcd))
|| !TEST_true(BN_are_coprime(a, b, ctx)))
goto err;
}
st = 1;
err:
BN_free(a);
BN_free(b);
BN_free(gcd);
return st;
}
typedef struct mod_exp_test_st
{
const char *base;
const char *exp;
const char *mod;
const char *res;
} MOD_EXP_TEST;
static const MOD_EXP_TEST ModExpTests[] = {
/* original test vectors for rsaz_512_sqr bug, by OSS-Fuzz */
{
"1166180238001879113042182292626169621106255558914000595999312084"
"4627946820899490684928760491249738643524880720584249698100907201"
"002086675047927600340800371",
"8000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000"
"00000000",
"1340780792684523720980737645613191762604395855615117867483316354"
"3294276330515137663421134775482798690129946803802212663956180562"
"088664022929883876655300863",
"8243904058268085430037326628480645845409758077568738532059032482"
"8294114415890603594730158120426756266457928475330450251339773498"
"26758407619521544102068438"
},
{
"4974270041410803822078866696159586946995877618987010219312844726"
"0284386121835740784990869050050504348861513337232530490826340663"
"197278031692737429054",
"4974270041410803822078866696159586946995877428188754995041148539"
"1663243362592271353668158565195557417149981094324650322556843202"
"946445882670777892608",
"1340780716511420227215592830971452482815377482627251725537099028"
"4429769497230131760206012644403029349547320953206103351725462999"
"947509743623340557059752191",
"5296244594780707015616522701706118082963369547253192207884519362"
"1767869984947542695665420219028522815539559194793619684334900442"
"49304558011362360473525933"
},
/* test vectors for rsaz_512_srq bug, with rcx/rbx=1 */
{ /* between first and second iteration */
"5148719036160389201525610950887605325980251964889646556085286545"
"3931548809178823413169359635978762036512397113080988070677858033"
"36463909753993540214027190",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between second and third iteration */
"8908340854353752577419678771330460827942371434853054158622636544"
"8151360109722890949471912566649465436296659601091730745087014189"
"2672764191218875181826063",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between third and fourth iteration */
"3427446396505596330634350984901719674479522569002785244080234738"
"4288743635435746136297299366444548736533053717416735379073185344"
"26985272974404612945608761",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between fourth and fifth iteration */
"3472743044917564564078857826111874560045331237315597383869652985"
"6919870028890895988478351133601517365908445058405433832718206902"
"4088133164805266956353542",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between fifth and sixth iteration */
"3608632990153469264412378349742339216742409743898601587274768025"
"0110772032985643555192767717344946174122842255204082586753499651"
"14483434992887431333675068",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between sixth and seventh iteration */
"8455374370234070242910508226941981520235709767260723212165264877"
"8689064388017521524568434328264431772644802567028663962962025746"
"9283458217850119569539086",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between seventh and eighth iteration */
"5155371529688532178421209781159131443543419764974688878527112131"
"7446518205609427412336183157918981038066636807317733319323257603"
"04416292040754017461076359",
"1005585594745694782468051874865438459560952436544429503329267108"
"2791323022555160232601405723625177570767523893639864538140315412"
"108959927459825236754563832",
"1005585594745694782468051874865438459560952436544429503329267108"
"2791323022555160232601405723625177570767523893639864538140315412"
"108959927459825236754563833",
"1"
},
/* test vectors for rsaz_512_srq bug, with rcx/rbx=2 */
{ /* between first and second iteration */
"3155666506033786929967309937640790361084670559125912405342594979"
"4345142818528956285490897841406338022378565972533508820577760065"
"58494345853302083699912572",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between second and third iteration */
"3789819583801342198190405714582958759005991915505282362397087750"
"4213544724644823098843135685133927198668818185338794377239590049"
"41019388529192775771488319",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between third and forth iteration */
"4695752552040706867080542538786056470322165281761525158189220280"
"4025547447667484759200742764246905647644662050122968912279199065"
"48065034299166336940507214",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between forth and fifth iteration */
"2159140240970485794188159431017382878636879856244045329971239574"
"8919691133560661162828034323196457386059819832804593989740268964"
"74502911811812651475927076",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between fifth and sixth iteration */
"5239312332984325668414624633307915097111691815000872662334695514"
"5436533521392362443557163429336808208137221322444780490437871903"
"99972784701334569424519255",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between sixth and seventh iteration */
"1977953647322612860406858017869125467496941904523063466791308891"
"1172796739058531929470539758361774569875505293428856181093904091"
"33788264851714311303725089",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042158",
"6703903964971298549787012499102923063739682910296196688861780721"
"8608820150367734884009371490834517138450159290932430254268769414"
"05973284973216824503042159",
"1"
},
{ /* between seventh and eighth iteration */
"6456987954117763835533395796948878140715006860263624787492985786"
"8514630216966738305923915688821526449499763719943997120302368211"
"04813318117996225041943964",
"1340780792994259709957402499820584612747936582059239337772356144"
"3721764030073546976801874298166903427690031858186486050853753882"
"811946551499689575296532556",
"1340780792994259709957402499820584612747936582059239337772356144"
"3721764030073546976801874298166903427690031858186486050853753882"
"811946551499689575296532557",
"1"
}
};
static int test_mod_exp(int i)
{
const MOD_EXP_TEST *test = &ModExpTests[i];
int res = 0;
BIGNUM* result = NULL;
BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
char *s = NULL;
if (!TEST_ptr(result = BN_new())
|| !TEST_true(BN_dec2bn(&base, test->base))
|| !TEST_true(BN_dec2bn(&exponent, test->exp))
|| !TEST_true(BN_dec2bn(&modulo, test->mod)))
goto err;
if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
goto err;
if (!TEST_ptr(s = BN_bn2dec(result)))
goto err;
if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
goto err;
res = 1;
err:
OPENSSL_free(s);
BN_free(result);
BN_free(base);
BN_free(exponent);
BN_free(modulo);
return res;
}
static int test_mod_exp_consttime(int i)
{
const MOD_EXP_TEST *test = &ModExpTests[i];
int res = 0;
BIGNUM* result = NULL;
BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
char *s = NULL;
if (!TEST_ptr(result = BN_new())
|| !TEST_true(BN_dec2bn(&base, test->base))
|| !TEST_true(BN_dec2bn(&exponent, test->exp))
|| !TEST_true(BN_dec2bn(&modulo, test->mod)))
goto err;
BN_set_flags(base, BN_FLG_CONSTTIME);
BN_set_flags(exponent, BN_FLG_CONSTTIME);
BN_set_flags(modulo, BN_FLG_CONSTTIME);
if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
goto err;
if (!TEST_ptr(s = BN_bn2dec(result)))
goto err;
if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
goto err;
res = 1;
err:
OPENSSL_free(s);
BN_free(result);
BN_free(base);
BN_free(exponent);
BN_free(modulo);
return res;
}
/*
* Regression test to ensure BN_mod_exp2_mont fails safely if argument m is
* zero.
*/
static int test_mod_exp2_mont(void)
{
int res = 0;
BIGNUM *exp_result = NULL;
BIGNUM *exp_a1 = NULL, *exp_p1 = NULL, *exp_a2 = NULL, *exp_p2 = NULL,
*exp_m = NULL;
if (!TEST_ptr(exp_result = BN_new())
|| !TEST_ptr(exp_a1 = BN_new())
|| !TEST_ptr(exp_p1 = BN_new())
|| !TEST_ptr(exp_a2 = BN_new())
|| !TEST_ptr(exp_p2 = BN_new())
|| !TEST_ptr(exp_m = BN_new()))
goto err;
if (!TEST_true(BN_one(exp_a1))
|| !TEST_true(BN_one(exp_p1))
|| !TEST_true(BN_one(exp_a2))
|| !TEST_true(BN_one(exp_p2)))
goto err;
BN_zero(exp_m);
/* input of 0 is even, so must fail */
if (!TEST_int_eq(BN_mod_exp2_mont(exp_result, exp_a1, exp_p1, exp_a2,
exp_p2, exp_m, ctx, NULL), 0))
goto err;
res = 1;
err:
BN_free(exp_result);
BN_free(exp_a1);
BN_free(exp_p1);
BN_free(exp_a2);
BN_free(exp_p2);
BN_free(exp_m);
return res;
}
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},
{"GCD", file_gcd},
};
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;
}
typedef enum OPTION_choice {
OPT_ERR = -1,
OPT_EOF = 0,
OPT_STOCHASTIC_TESTS,
OPT_TEST_ENUM
} OPTION_CHOICE;
const OPTIONS *test_get_options(void)
{
static const OPTIONS test_options[] = {
OPT_TEST_OPTIONS_WITH_EXTRA_USAGE("[file...]\n"),
{ "stochastic", OPT_STOCHASTIC_TESTS, '-', "Run stochastic tests" },
{ OPT_HELP_STR, 1, '-',
"file\tFile to run tests on. Normal tests are not run\n" },
{ NULL }
};
return test_options;
}
int setup_tests(void)
{
OPTION_CHOICE o;
int n, stochastic = 0;
while ((o = opt_next()) != OPT_EOF) {
switch (o) {
case OPT_STOCHASTIC_TESTS:
stochastic = 1;
break;
case OPT_TEST_CASES:
break;
default:
case OPT_ERR:
return 0;
}
}
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_ALL_TESTS(test_signed_mod_replace_ab, OSSL_NELEM(signed_mod_tests));
ADD_ALL_TESTS(test_signed_mod_replace_ba, OSSL_NELEM(signed_mod_tests));
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_TEST(test_bin2zero);
ADD_TEST(test_bin2bn_lengths);
ADD_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests));
ADD_ALL_TESTS(test_bn2signed, (int)OSSL_NELEM(kSignedTests_BE));
ADD_TEST(test_negzero);
ADD_TEST(test_badmod);
ADD_TEST(test_expmodzero);
ADD_TEST(test_expmodone);
ADD_ALL_TESTS(test_smallprime, 16);
ADD_ALL_TESTS(test_smallsafeprime, 16);
ADD_TEST(test_swap);
ADD_TEST(test_ctx_consttime_flag);
#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_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
ADD_TEST(test_gcd_prime);
ADD_TEST(test_coprime);
ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests));
ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests));
ADD_TEST(test_mod_exp2_mont);
if (stochastic)
ADD_TEST(test_rand_range);
} else {
ADD_ALL_TESTS(run_file_tests, n);
}
return 1;
}
void cleanup_tests(void)
{
BN_CTX_free(ctx);
}
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