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openssl/test/bntest.c
Pauli 5d2f3e4a6c Test of uniformity of BN_rand_range output. 
Rework the test so that it fails far less often.

A number of independent tests are executed and 5% are expected to fail.
The number of such failures follows a binomial distribution which permits
a statistical test a 0.01% expected failure rate.

There is a command line option to enable the stochastic range checking.
It is off by default.

Reviewed-by: Matt Caswell <matt@openssl.org>
(Merged from https://github.com/openssl/openssl/pull/8830)
2019-05-29 09:54:29 +10:00

2548 lines
75 KiB
C
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/*
* Copyright 1995-2019 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>
#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"
#ifdef OPENSSL_SYS_WINDOWS
# define strcasecmp _stricmp
#endif
/*
* Things in boring, not in openssl. TODO we should add them.
*/
#define HAVE_BN_PADDED 0
#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 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 (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;
/* 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: false */
cond = 0;
BN_consttime_swap(cond, a, b, top);
if (!equalBN("cswap false", a, c)
|| !equalBN("cswap false", b, d))
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 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_true(BN_sub(e, e, c))
&& 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);
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;
/* 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.
* 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;
}
/*
* 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;
/* 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;
}
/*
* 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 expeced 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(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 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_is_prime_fasttest_ex(r, 1, ctx, trial, 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_is_prime_fasttest_ex(r, 1, ctx, trial, 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 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;
}
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_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_expmodone);
ADD_TEST(test_smallprime);
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));
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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