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8017cdde38
boringssl/crypto/fipsmodule/bn/bn_test.cc
David Benjamin 8017cdde38 Make BN_num_bits_word constant-time. 
(The BN_num_bits_word implementation was originally written by Andy
Polyakov for OpenSSL. See also
https://github.com/openssl/openssl/pull/5154.)

BN_num_bits, by way of BN_num_bits_word, currently leaks the
most-significant word of its argument via branching and memory access
pattern.

BN_num_bits is called on RSA prime factors in various places. These have
public bit lengths, but all bits beyond the high bit are secret. This
fully resolves those cases.

There are a few places where BN_num_bits is called on an input where
the bit length is also secret. The two left in BoringSSL are:

- BN_mod_exp_mont_consttime calls it on the RSA private exponent.

- The timing "fix" to add the order to k in DSA.

This does *not* fully resolve those cases as we still only look at the
top word. Today, that is guaranteed to be non-zero, but only because of
the long-standing bn_correct_top timing leak. Once that is fixed (I hope
to have patches soon), a constant-time BN_num_bits on such inputs must
count bits on each word.

Instead, those cases should not call BN_num_bits at all. The former uses
the bit width to pick windows, but it should be using the maximum bit
width. The next patch will fix this.  The latter is the same "fix" we
excised from ECDSA in a838f9dc7e.  That
should be excised from DSA after the bn_correct_top bug is fixed.

Thanks to Dinghao Wu, Danfeng Zhang, Shuai Wang, Pei Wang, and Xiao Liu
for reporting this issue.

Change-Id: Idc3da518cc5ec18bd8688b95f959b15300a57c14
Reviewed-on: https://boringssl-review.googlesource.com/25184
Reviewed-by: Adam Langley <agl@google.com>
2018-01-23 22:14:54 +00:00

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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
*
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
*
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* "This product includes cryptographic software written by
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
* 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
*
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the Eric Young open source
* license provided above.
*
* The binary polynomial arithmetic software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
* Laboratories. */
// Per C99, various stdint.h and inttypes.h macros (the latter used by bn.h) are
// unavailable in C++ unless some macros are defined. C++11 overruled this
// decision, but older Android NDKs still require it.
#if !defined(__STDC_CONSTANT_MACROS)
#define __STDC_CONSTANT_MACROS
#endif
#if !defined(__STDC_FORMAT_MACROS)
#define __STDC_FORMAT_MACROS
#endif
#include <assert.h>
#include <errno.h>
#include <limits.h>
#include <stdio.h>
#include <string.h>
#include <utility>
#include <gtest/gtest.h>
#include <openssl/bn.h>
#include <openssl/bytestring.h>
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/mem.h>
#include <openssl/rand.h>
#include "./internal.h"
#include "../../internal.h"
#include "../../test/file_test.h"
#include "../../test/test_util.h"
static int HexToBIGNUM(bssl::UniquePtr<BIGNUM> *out, const char *in) {
BIGNUM *raw = NULL;
int ret = BN_hex2bn(&raw, in);
out->reset(raw);
return ret;
}
static bssl::UniquePtr<BIGNUM> GetBIGNUM(FileTest *t, const char *attribute) {
std::string hex;
if (!t->GetAttribute(&hex, attribute)) {
return nullptr;
}
bssl::UniquePtr<BIGNUM> ret;
if (HexToBIGNUM(&ret, hex.c_str()) != static_cast<int>(hex.size())) {
t->PrintLine("Could not decode '%s'.", hex.c_str());
return nullptr;
}
return ret;
}
static bool GetInt(FileTest *t, int *out, const char *attribute) {
bssl::UniquePtr<BIGNUM> ret = GetBIGNUM(t, attribute);
if (!ret) {
return false;
}
BN_ULONG word = BN_get_word(ret.get());
if (word > INT_MAX) {
return false;
}
*out = static_cast<int>(word);
return true;
}
static testing::AssertionResult AssertBIGNUMSEqual(
const char *operation_expr, const char *expected_expr,
const char *actual_expr, const char *operation, const BIGNUM *expected,
const BIGNUM *actual) {
if (BN_cmp(expected, actual) == 0) {
return testing::AssertionSuccess();
}
bssl::UniquePtr<char> expected_str(BN_bn2hex(expected));
bssl::UniquePtr<char> actual_str(BN_bn2hex(actual));
if (!expected_str || !actual_str) {
return testing::AssertionFailure() << "Error converting BIGNUMs to hex";
}
return testing::AssertionFailure()
<< "Wrong value for " << operation
<< "\nActual: " << actual_str.get() << " (" << actual_expr
<< ")\nExpected: " << expected_str.get() << " (" << expected_expr
<< ")";
}
#define EXPECT_BIGNUMS_EQUAL(op, a, b) \
EXPECT_PRED_FORMAT3(AssertBIGNUMSEqual, op, a, b)
static void TestSum(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> b = GetBIGNUM(t, "B");
bssl::UniquePtr<BIGNUM> sum = GetBIGNUM(t, "Sum");
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(sum);
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_add(ret.get(), a.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("A + B", sum.get(), ret.get());
ASSERT_TRUE(BN_sub(ret.get(), sum.get(), a.get()));
EXPECT_BIGNUMS_EQUAL("Sum - A", b.get(), ret.get());
ASSERT_TRUE(BN_sub(ret.get(), sum.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("Sum - B", a.get(), ret.get());
// 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 the case where
// all of |r|, |a|, and |b| point to the same |BIGNUM|.
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_add(ret.get(), ret.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("A + B (r is a)", sum.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), b.get()));
ASSERT_TRUE(BN_add(ret.get(), a.get(), ret.get()));
EXPECT_BIGNUMS_EQUAL("A + B (r is b)", sum.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), sum.get()));
ASSERT_TRUE(BN_sub(ret.get(), ret.get(), a.get()));
EXPECT_BIGNUMS_EQUAL("Sum - A (r is a)", b.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_sub(ret.get(), sum.get(), ret.get()));
EXPECT_BIGNUMS_EQUAL("Sum - A (r is b)", b.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), sum.get()));
ASSERT_TRUE(BN_sub(ret.get(), ret.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("Sum - B (r is a)", a.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), b.get()));
ASSERT_TRUE(BN_sub(ret.get(), sum.get(), ret.get()));
EXPECT_BIGNUMS_EQUAL("Sum - B (r is b)", a.get(), ret.get());
// 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.get()) &&
!BN_is_negative(b.get()) && BN_cmp(a.get(), b.get()) >= 0) {
ASSERT_TRUE(BN_uadd(ret.get(), a.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("A +u B", sum.get(), ret.get());
ASSERT_TRUE(BN_usub(ret.get(), sum.get(), a.get()));
EXPECT_BIGNUMS_EQUAL("Sum -u A", b.get(), ret.get());
ASSERT_TRUE(BN_usub(ret.get(), sum.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("Sum -u B", a.get(), ret.get());
// 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 the case where
// all of |r|, |a|, and |b| point to the same |BIGNUM|.
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_uadd(ret.get(), ret.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("A +u B (r is a)", sum.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), b.get()));
ASSERT_TRUE(BN_uadd(ret.get(), a.get(), ret.get()));
EXPECT_BIGNUMS_EQUAL("A +u B (r is b)", sum.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), sum.get()));
ASSERT_TRUE(BN_usub(ret.get(), ret.get(), a.get()));
EXPECT_BIGNUMS_EQUAL("Sum -u A (r is a)", b.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_usub(ret.get(), sum.get(), ret.get()));
EXPECT_BIGNUMS_EQUAL("Sum -u A (r is b)", b.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), sum.get()));
ASSERT_TRUE(BN_usub(ret.get(), ret.get(), b.get()));
EXPECT_BIGNUMS_EQUAL("Sum -u B (r is a)", a.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), b.get()));
ASSERT_TRUE(BN_usub(ret.get(), sum.get(), ret.get()));
EXPECT_BIGNUMS_EQUAL("Sum -u B (r is b)", a.get(), ret.get());
}
// Test with |BN_add_word| and |BN_sub_word| if |b| is small enough.
BN_ULONG b_word = BN_get_word(b.get());
if (!BN_is_negative(b.get()) && b_word != (BN_ULONG)-1) {
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_add_word(ret.get(), b_word));
EXPECT_BIGNUMS_EQUAL("A + B (word)", sum.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), sum.get()));
ASSERT_TRUE(BN_sub_word(ret.get(), b_word));
EXPECT_BIGNUMS_EQUAL("Sum - B (word)", a.get(), ret.get());
}
}
static void TestLShift1(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> lshift1 = GetBIGNUM(t, "LShift1");
bssl::UniquePtr<BIGNUM> zero(BN_new());
ASSERT_TRUE(a);
ASSERT_TRUE(lshift1);
ASSERT_TRUE(zero);
BN_zero(zero.get());
bssl::UniquePtr<BIGNUM> ret(BN_new()), two(BN_new()), remainder(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(two);
ASSERT_TRUE(remainder);
ASSERT_TRUE(BN_set_word(two.get(), 2));
ASSERT_TRUE(BN_add(ret.get(), a.get(), a.get()));
EXPECT_BIGNUMS_EQUAL("A + A", lshift1.get(), ret.get());
ASSERT_TRUE(BN_mul(ret.get(), a.get(), two.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * 2", lshift1.get(), ret.get());
ASSERT_TRUE(
BN_div(ret.get(), remainder.get(), lshift1.get(), two.get(), ctx));
EXPECT_BIGNUMS_EQUAL("LShift1 / 2", a.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("LShift1 % 2", zero.get(), remainder.get());
ASSERT_TRUE(BN_lshift1(ret.get(), a.get()));
EXPECT_BIGNUMS_EQUAL("A << 1", lshift1.get(), ret.get());
ASSERT_TRUE(BN_rshift1(ret.get(), lshift1.get()));
EXPECT_BIGNUMS_EQUAL("LShift >> 1", a.get(), ret.get());
ASSERT_TRUE(BN_rshift1(ret.get(), lshift1.get()));
EXPECT_BIGNUMS_EQUAL("LShift >> 1", a.get(), ret.get());
// Set the LSB to 1 and test rshift1 again.
ASSERT_TRUE(BN_set_bit(lshift1.get(), 0));
ASSERT_TRUE(
BN_div(ret.get(), nullptr /* rem */, lshift1.get(), two.get(), ctx));
EXPECT_BIGNUMS_EQUAL("(LShift1 | 1) / 2", a.get(), ret.get());
ASSERT_TRUE(BN_rshift1(ret.get(), lshift1.get()));
EXPECT_BIGNUMS_EQUAL("(LShift | 1) >> 1", a.get(), ret.get());
}
static void TestLShift(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> lshift = GetBIGNUM(t, "LShift");
ASSERT_TRUE(a);
ASSERT_TRUE(lshift);
int n = 0;
ASSERT_TRUE(GetInt(t, &n, "N"));
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_lshift(ret.get(), a.get(), n));
EXPECT_BIGNUMS_EQUAL("A << N", lshift.get(), ret.get());
ASSERT_TRUE(BN_rshift(ret.get(), lshift.get(), n));
EXPECT_BIGNUMS_EQUAL("A >> N", a.get(), ret.get());
}
static void TestRShift(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> rshift = GetBIGNUM(t, "RShift");
ASSERT_TRUE(a);
ASSERT_TRUE(rshift);
int n = 0;
ASSERT_TRUE(GetInt(t, &n, "N"));
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_rshift(ret.get(), a.get(), n));
EXPECT_BIGNUMS_EQUAL("A >> N", rshift.get(), ret.get());
}
static void TestSquare(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> square = GetBIGNUM(t, "Square");
bssl::UniquePtr<BIGNUM> zero(BN_new());
ASSERT_TRUE(a);
ASSERT_TRUE(square);
ASSERT_TRUE(zero);
BN_zero(zero.get());
bssl::UniquePtr<BIGNUM> ret(BN_new()), remainder(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(remainder);
ASSERT_TRUE(BN_sqr(ret.get(), a.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A^2", square.get(), ret.get());
ASSERT_TRUE(BN_mul(ret.get(), a.get(), a.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * A", square.get(), ret.get());
if (!BN_is_zero(a.get())) {
ASSERT_TRUE(BN_div(ret.get(), remainder.get(), square.get(), a.get(), ctx));
EXPECT_BIGNUMS_EQUAL("Square / A", a.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("Square % A", zero.get(), remainder.get());
}
BN_set_negative(a.get(), 0);
ASSERT_TRUE(BN_sqrt(ret.get(), square.get(), ctx));
EXPECT_BIGNUMS_EQUAL("sqrt(Square)", a.get(), ret.get());
// BN_sqrt should fail on non-squares and negative numbers.
if (!BN_is_zero(square.get())) {
bssl::UniquePtr<BIGNUM> tmp(BN_new());
ASSERT_TRUE(tmp);
ASSERT_TRUE(BN_copy(tmp.get(), square.get()));
BN_set_negative(tmp.get(), 1);
EXPECT_FALSE(BN_sqrt(ret.get(), tmp.get(), ctx))
<< "BN_sqrt succeeded on a negative number";
ERR_clear_error();
BN_set_negative(tmp.get(), 0);
ASSERT_TRUE(BN_add(tmp.get(), tmp.get(), BN_value_one()));
EXPECT_FALSE(BN_sqrt(ret.get(), tmp.get(), ctx))
<< "BN_sqrt succeeded on a non-square";
ERR_clear_error();
}
#if !defined(BORINGSSL_SHARED_LIBRARY)
if (static_cast<size_t>(a->top) <= BN_SMALL_MAX_WORDS) {
for (size_t num_a = a->top; num_a <= BN_SMALL_MAX_WORDS; num_a++) {
SCOPED_TRACE(num_a);
size_t num_r = 2 * num_a;
// Use newly-allocated buffers so ASan will catch out-of-bounds writes.
std::unique_ptr<BN_ULONG[]> a_words(new BN_ULONG[num_a]),
r_words(new BN_ULONG[num_r]);
OPENSSL_memset(a_words.get(), 0, num_a * sizeof(BN_ULONG));
OPENSSL_memcpy(a_words.get(), a->d, a->top * sizeof(BN_ULONG));
ASSERT_TRUE(bn_mul_small(r_words.get(), num_r, a_words.get(), num_a,
a_words.get(), num_a));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), num_r));
EXPECT_BIGNUMS_EQUAL("A * A (words)", square.get(), ret.get());
OPENSSL_memset(r_words.get(), 'A', num_r * sizeof(BN_ULONG));
ASSERT_TRUE(bn_sqr_small(r_words.get(), num_r, a_words.get(), num_a));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), num_r));
EXPECT_BIGNUMS_EQUAL("A^2 (words)", square.get(), ret.get());
}
}
#endif
}
static void TestProduct(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> b = GetBIGNUM(t, "B");
bssl::UniquePtr<BIGNUM> product = GetBIGNUM(t, "Product");
bssl::UniquePtr<BIGNUM> zero(BN_new());
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(product);
ASSERT_TRUE(zero);
BN_zero(zero.get());
bssl::UniquePtr<BIGNUM> ret(BN_new()), remainder(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(remainder);
ASSERT_TRUE(BN_mul(ret.get(), a.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * B", product.get(), ret.get());
if (!BN_is_zero(a.get())) {
ASSERT_TRUE(
BN_div(ret.get(), remainder.get(), product.get(), a.get(), ctx));
EXPECT_BIGNUMS_EQUAL("Product / A", b.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("Product % A", zero.get(), remainder.get());
}
if (!BN_is_zero(b.get())) {
ASSERT_TRUE(
BN_div(ret.get(), remainder.get(), product.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("Product / B", a.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("Product % B", zero.get(), remainder.get());
}
#if !defined(BORINGSSL_SHARED_LIBRARY)
if (!BN_is_negative(product.get()) &&
static_cast<size_t>(a->top) <= BN_SMALL_MAX_WORDS &&
static_cast<size_t>(b->top) <= BN_SMALL_MAX_WORDS) {
for (size_t num_a = a->top; num_a <= BN_SMALL_MAX_WORDS; num_a++) {
SCOPED_TRACE(num_a);
for (size_t num_b = b->top; num_b <= BN_SMALL_MAX_WORDS; num_b++) {
SCOPED_TRACE(num_b);
size_t num_r = num_a + num_b;
// Use newly-allocated buffers so ASan will catch out-of-bounds writes.
std::unique_ptr<BN_ULONG[]> a_words(new BN_ULONG[num_a]),
b_words(new BN_ULONG[num_b]), r_words(new BN_ULONG[num_r]);
OPENSSL_memset(a_words.get(), 0, num_a * sizeof(BN_ULONG));
OPENSSL_memcpy(a_words.get(), a->d, a->top * sizeof(BN_ULONG));
OPENSSL_memset(b_words.get(), 0, num_b * sizeof(BN_ULONG));
OPENSSL_memcpy(b_words.get(), b->d, b->top * sizeof(BN_ULONG));
ASSERT_TRUE(bn_mul_small(r_words.get(), num_r, a_words.get(), num_a,
b_words.get(), num_b));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), num_r));
EXPECT_BIGNUMS_EQUAL("A * B (words)", product.get(), ret.get());
}
}
}
#endif
}
static void TestQuotient(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> b = GetBIGNUM(t, "B");
bssl::UniquePtr<BIGNUM> quotient = GetBIGNUM(t, "Quotient");
bssl::UniquePtr<BIGNUM> remainder = GetBIGNUM(t, "Remainder");
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(quotient);
ASSERT_TRUE(remainder);
bssl::UniquePtr<BIGNUM> ret(BN_new()), ret2(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(ret2);
ASSERT_TRUE(BN_div(ret.get(), ret2.get(), a.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A / B", quotient.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("A % B", remainder.get(), ret2.get());
ASSERT_TRUE(BN_mul(ret.get(), quotient.get(), b.get(), ctx));
ASSERT_TRUE(BN_add(ret.get(), ret.get(), remainder.get()));
EXPECT_BIGNUMS_EQUAL("Quotient * B + Remainder", a.get(), ret.get());
// Test with |BN_mod_word| and |BN_div_word| if the divisor is small enough.
BN_ULONG b_word = BN_get_word(b.get());
if (!BN_is_negative(b.get()) && b_word != (BN_ULONG)-1) {
BN_ULONG remainder_word = BN_get_word(remainder.get());
ASSERT_NE(remainder_word, (BN_ULONG)-1);
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
BN_ULONG ret_word = BN_div_word(ret.get(), b_word);
EXPECT_EQ(remainder_word, ret_word);
EXPECT_BIGNUMS_EQUAL("A / B (word)", quotient.get(), ret.get());
ret_word = BN_mod_word(a.get(), b_word);
EXPECT_EQ(remainder_word, ret_word);
}
// Test BN_nnmod.
if (!BN_is_negative(b.get())) {
bssl::UniquePtr<BIGNUM> nnmod(BN_new());
ASSERT_TRUE(nnmod);
ASSERT_TRUE(BN_copy(nnmod.get(), remainder.get()));
if (BN_is_negative(nnmod.get())) {
ASSERT_TRUE(BN_add(nnmod.get(), nnmod.get(), b.get()));
}
ASSERT_TRUE(BN_nnmod(ret.get(), a.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A % B (non-negative)", nnmod.get(), ret.get());
}
}
static void TestModMul(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> b = GetBIGNUM(t, "B");
bssl::UniquePtr<BIGNUM> m = GetBIGNUM(t, "M");
bssl::UniquePtr<BIGNUM> mod_mul = GetBIGNUM(t, "ModMul");
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(m);
ASSERT_TRUE(mod_mul);
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_mod_mul(ret.get(), a.get(), b.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * B (mod M)", mod_mul.get(), ret.get());
if (BN_is_odd(m.get())) {
// Reduce |a| and |b| and test the Montgomery version.
bssl::UniquePtr<BN_MONT_CTX> mont(BN_MONT_CTX_new());
bssl::UniquePtr<BIGNUM> a_tmp(BN_new()), b_tmp(BN_new());
ASSERT_TRUE(mont);
ASSERT_TRUE(a_tmp);
ASSERT_TRUE(b_tmp);
ASSERT_TRUE(BN_MONT_CTX_set(mont.get(), m.get(), ctx));
ASSERT_TRUE(BN_nnmod(a.get(), a.get(), m.get(), ctx));
ASSERT_TRUE(BN_nnmod(b.get(), b.get(), m.get(), ctx));
ASSERT_TRUE(BN_to_montgomery(a_tmp.get(), a.get(), mont.get(), ctx));
ASSERT_TRUE(BN_to_montgomery(b_tmp.get(), b.get(), mont.get(), ctx));
ASSERT_TRUE(BN_mod_mul_montgomery(ret.get(), a_tmp.get(), b_tmp.get(),
mont.get(), ctx));
ASSERT_TRUE(BN_from_montgomery(ret.get(), ret.get(), mont.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * B (mod M) (Montgomery)", mod_mul.get(),
ret.get());
#if !defined(BORINGSSL_SHARED_LIBRARY)
if (m->top <= BN_SMALL_MAX_WORDS) {
std::unique_ptr<BN_ULONG[]> a_words(new BN_ULONG[m->top]),
b_words(new BN_ULONG[m->top]), r_words(new BN_ULONG[m->top]);
OPENSSL_memset(a_words.get(), 0, m->top * sizeof(BN_ULONG));
OPENSSL_memcpy(a_words.get(), a->d, a->top * sizeof(BN_ULONG));
OPENSSL_memset(b_words.get(), 0, m->top * sizeof(BN_ULONG));
OPENSSL_memcpy(b_words.get(), b->d, b->top * sizeof(BN_ULONG));
ASSERT_TRUE(bn_to_montgomery_small(a_words.get(), m->top, a_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_to_montgomery_small(b_words.get(), m->top, b_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_mod_mul_montgomery_small(
r_words.get(), m->top, a_words.get(), m->top, b_words.get(), m->top,
mont.get()));
// Use the second half of |tmp| so ASan will catch out-of-bounds writes.
ASSERT_TRUE(bn_from_montgomery_small(r_words.get(), m->top, r_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m->top));
EXPECT_BIGNUMS_EQUAL("A * B (mod M) (Montgomery, words)", mod_mul.get(),
ret.get());
}
#endif
}
}
static void TestModSquare(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> m = GetBIGNUM(t, "M");
bssl::UniquePtr<BIGNUM> mod_square = GetBIGNUM(t, "ModSquare");
ASSERT_TRUE(a);
ASSERT_TRUE(m);
ASSERT_TRUE(mod_square);
bssl::UniquePtr<BIGNUM> a_copy(BN_new());
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(a_copy);
ASSERT_TRUE(BN_mod_mul(ret.get(), a.get(), a.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * A (mod M)", mod_square.get(), ret.get());
// Repeat the operation with |a_copy|.
ASSERT_TRUE(BN_copy(a_copy.get(), a.get()));
ASSERT_TRUE(BN_mod_mul(ret.get(), a.get(), a_copy.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * A_copy (mod M)", mod_square.get(), ret.get());
if (BN_is_odd(m.get())) {
// Reduce |a| and test the Montgomery version.
bssl::UniquePtr<BN_MONT_CTX> mont(BN_MONT_CTX_new());
bssl::UniquePtr<BIGNUM> a_tmp(BN_new());
ASSERT_TRUE(mont);
ASSERT_TRUE(a_tmp);
ASSERT_TRUE(BN_MONT_CTX_set(mont.get(), m.get(), ctx));
ASSERT_TRUE(BN_nnmod(a.get(), a.get(), m.get(), ctx));
ASSERT_TRUE(BN_to_montgomery(a_tmp.get(), a.get(), mont.get(), ctx));
ASSERT_TRUE(BN_mod_mul_montgomery(ret.get(), a_tmp.get(), a_tmp.get(),
mont.get(), ctx));
ASSERT_TRUE(BN_from_montgomery(ret.get(), ret.get(), mont.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * A (mod M) (Montgomery)", mod_square.get(),
ret.get());
// Repeat the operation with |a_copy|.
ASSERT_TRUE(BN_copy(a_copy.get(), a_tmp.get()));
ASSERT_TRUE(BN_mod_mul_montgomery(ret.get(), a_tmp.get(), a_copy.get(),
mont.get(), ctx));
ASSERT_TRUE(BN_from_montgomery(ret.get(), ret.get(), mont.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A * A_copy (mod M) (Montgomery)", mod_square.get(),
ret.get());
#if !defined(BORINGSSL_SHARED_LIBRARY)
if (m->top <= BN_SMALL_MAX_WORDS) {
std::unique_ptr<BN_ULONG[]> a_words(new BN_ULONG[m->top]),
a_copy_words(new BN_ULONG[m->top]), r_words(new BN_ULONG[m->top]);
OPENSSL_memset(a_words.get(), 0, m->top * sizeof(BN_ULONG));
OPENSSL_memcpy(a_words.get(), a->d, a->top * sizeof(BN_ULONG));
ASSERT_TRUE(bn_to_montgomery_small(a_words.get(), m->top, a_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_mod_mul_montgomery_small(
r_words.get(), m->top, a_words.get(), m->top, a_words.get(), m->top,
mont.get()));
ASSERT_TRUE(bn_from_montgomery_small(r_words.get(), m->top, r_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m->top));
EXPECT_BIGNUMS_EQUAL("A * A (mod M) (Montgomery, words)",
mod_square.get(), ret.get());
// Repeat the operation with |a_copy_words|.
OPENSSL_memcpy(a_copy_words.get(), a_words.get(),
m->top * sizeof(BN_ULONG));
ASSERT_TRUE(bn_mod_mul_montgomery_small(
r_words.get(), m->top, a_words.get(), m->top, a_copy_words.get(),
m->top, mont.get()));
// Use the second half of |tmp| so ASan will catch out-of-bounds writes.
ASSERT_TRUE(bn_from_montgomery_small(r_words.get(), m->top, r_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m->top));
EXPECT_BIGNUMS_EQUAL("A * A_copy (mod M) (Montgomery, words)",
mod_square.get(), ret.get());
}
#endif
}
}
static void TestModExp(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> e = GetBIGNUM(t, "E");
bssl::UniquePtr<BIGNUM> m = GetBIGNUM(t, "M");
bssl::UniquePtr<BIGNUM> mod_exp = GetBIGNUM(t, "ModExp");
ASSERT_TRUE(a);
ASSERT_TRUE(e);
ASSERT_TRUE(m);
ASSERT_TRUE(mod_exp);
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_mod_exp(ret.get(), a.get(), e.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A ^ E (mod M)", mod_exp.get(), ret.get());
if (BN_is_odd(m.get())) {
ASSERT_TRUE(
BN_mod_exp_mont(ret.get(), a.get(), e.get(), m.get(), ctx, NULL));
EXPECT_BIGNUMS_EQUAL("A ^ E (mod M) (Montgomery)", mod_exp.get(),
ret.get());
ASSERT_TRUE(BN_mod_exp_mont_consttime(ret.get(), a.get(), e.get(), m.get(),
ctx, NULL));
EXPECT_BIGNUMS_EQUAL("A ^ E (mod M) (constant-time)", mod_exp.get(),
ret.get());
#if !defined(BORINGSSL_SHARED_LIBRARY)
if (m->top <= BN_SMALL_MAX_WORDS) {
bssl::UniquePtr<BN_MONT_CTX> mont(BN_MONT_CTX_new());
ASSERT_TRUE(mont.get());
ASSERT_TRUE(BN_MONT_CTX_set(mont.get(), m.get(), ctx));
ASSERT_TRUE(BN_nnmod(a.get(), a.get(), m.get(), ctx));
std::unique_ptr<BN_ULONG[]> r_words(new BN_ULONG[m->top]),
a_words(new BN_ULONG[m->top]);
OPENSSL_memset(a_words.get(), 0, m->top * sizeof(BN_ULONG));
OPENSSL_memcpy(a_words.get(), a->d, a->top * sizeof(BN_ULONG));
ASSERT_TRUE(bn_to_montgomery_small(a_words.get(), m->top, a_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_mod_exp_mont_small(r_words.get(), m->top, a_words.get(),
m->top, e->d, e->top, mont.get()));
ASSERT_TRUE(bn_from_montgomery_small(r_words.get(), m->top, r_words.get(),
m->top, mont.get()));
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m->top));
EXPECT_BIGNUMS_EQUAL("A ^ E (mod M) (Montgomery, words)", mod_exp.get(),
ret.get());
}
#endif
}
}
static void TestExp(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> e = GetBIGNUM(t, "E");
bssl::UniquePtr<BIGNUM> exp = GetBIGNUM(t, "Exp");
ASSERT_TRUE(a);
ASSERT_TRUE(e);
ASSERT_TRUE(exp);
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_exp(ret.get(), a.get(), e.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A ^ E", exp.get(), ret.get());
}
static void TestModSqrt(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> p = GetBIGNUM(t, "P");
bssl::UniquePtr<BIGNUM> mod_sqrt = GetBIGNUM(t, "ModSqrt");
bssl::UniquePtr<BIGNUM> mod_sqrt2(BN_new());
ASSERT_TRUE(a);
ASSERT_TRUE(p);
ASSERT_TRUE(mod_sqrt);
ASSERT_TRUE(mod_sqrt2);
// There are two possible answers.
ASSERT_TRUE(BN_sub(mod_sqrt2.get(), p.get(), mod_sqrt.get()));
// -0 is 0, not P.
if (BN_is_zero(mod_sqrt.get())) {
BN_zero(mod_sqrt2.get());
}
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_mod_sqrt(ret.get(), a.get(), p.get(), ctx));
if (BN_cmp(ret.get(), mod_sqrt2.get()) != 0) {
EXPECT_BIGNUMS_EQUAL("sqrt(A) (mod P)", mod_sqrt.get(), ret.get());
}
}
static void TestNotModSquare(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> not_mod_square = GetBIGNUM(t, "NotModSquare");
bssl::UniquePtr<BIGNUM> p = GetBIGNUM(t, "P");
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(not_mod_square);
ASSERT_TRUE(p);
ASSERT_TRUE(ret);
EXPECT_FALSE(BN_mod_sqrt(ret.get(), not_mod_square.get(), p.get(), ctx))
<< "BN_mod_sqrt unexpectedly succeeded.";
uint32_t err = ERR_peek_error();
EXPECT_EQ(ERR_LIB_BN, ERR_GET_LIB(err));
EXPECT_EQ(BN_R_NOT_A_SQUARE, ERR_GET_REASON(err));
ERR_clear_error();
}
static void TestModInv(FileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = GetBIGNUM(t, "A");
bssl::UniquePtr<BIGNUM> m = GetBIGNUM(t, "M");
bssl::UniquePtr<BIGNUM> mod_inv = GetBIGNUM(t, "ModInv");
ASSERT_TRUE(a);
ASSERT_TRUE(m);
ASSERT_TRUE(mod_inv);
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_mod_inverse(ret.get(), a.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("inv(A) (mod M)", mod_inv.get(), ret.get());
}
class BNTest : public testing::Test {
protected:
void SetUp() override {
ctx_.reset(BN_CTX_new());
ASSERT_TRUE(ctx_);
}
BN_CTX *ctx() { return ctx_.get(); }
private:
bssl::UniquePtr<BN_CTX> ctx_;
};
TEST_F(BNTest, TestVectors) {
static const struct {
const char *name;
void (*func)(FileTest *t, BN_CTX *ctx);
} kTests[] = {
{"Sum", TestSum},
{"LShift1", TestLShift1},
{"LShift", TestLShift},
{"RShift", TestRShift},
{"Square", TestSquare},
{"Product", TestProduct},
{"Quotient", TestQuotient},
{"ModMul", TestModMul},
{"ModSquare", TestModSquare},
{"ModExp", TestModExp},
{"Exp", TestExp},
{"ModSqrt", TestModSqrt},
{"NotModSquare", TestNotModSquare},
{"ModInv", TestModInv},
};
FileTestGTest("crypto/fipsmodule/bn/bn_tests.txt", [&](FileTest *t) {
for (const auto &test : kTests) {
if (t->GetType() == test.name) {
test.func(t, ctx());
return;
}
}
FAIL() << "Unknown test type: " << t->GetType();
});
}
TEST_F(BNTest, BN2BinPadded) {
uint8_t zeros[256], out[256], reference[128];
OPENSSL_memset(zeros, 0, sizeof(zeros));
// Test edge case at 0.
bssl::UniquePtr<BIGNUM> n(BN_new());
ASSERT_TRUE(n);
ASSERT_TRUE(BN_bn2bin_padded(NULL, 0, n.get()));
OPENSSL_memset(out, -1, sizeof(out));
ASSERT_TRUE(BN_bn2bin_padded(out, sizeof(out), n.get()));
EXPECT_EQ(Bytes(zeros), Bytes(out));
// Test a random numbers at various byte lengths.
for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
ASSERT_TRUE(
BN_rand(n.get(), bytes * 8, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY));
ASSERT_EQ(bytes, BN_num_bytes(n.get()));
ASSERT_EQ(bytes, BN_bn2bin(n.get(), reference));
// Empty buffer should fail.
EXPECT_FALSE(BN_bn2bin_padded(NULL, 0, n.get()));
// One byte short should fail.
EXPECT_FALSE(BN_bn2bin_padded(out, bytes - 1, n.get()));
// Exactly right size should encode.
ASSERT_TRUE(BN_bn2bin_padded(out, bytes, n.get()));
EXPECT_EQ(Bytes(reference, bytes), Bytes(out, bytes));
// Pad up one byte extra.
ASSERT_TRUE(BN_bn2bin_padded(out, bytes + 1, n.get()));
EXPECT_EQ(0u, out[0]);
EXPECT_EQ(Bytes(reference, bytes), Bytes(out + 1, bytes));
// Pad up to 256.
ASSERT_TRUE(BN_bn2bin_padded(out, sizeof(out), n.get()));
EXPECT_EQ(Bytes(zeros, sizeof(out) - bytes),
Bytes(out, sizeof(out) - bytes));
EXPECT_EQ(Bytes(reference, bytes), Bytes(out + sizeof(out) - bytes, bytes));
}
}
TEST_F(BNTest, LittleEndian) {
bssl::UniquePtr<BIGNUM> x(BN_new());
bssl::UniquePtr<BIGNUM> y(BN_new());
ASSERT_TRUE(x);
ASSERT_TRUE(y);
// Test edge case at 0. Fill |out| with garbage to ensure |BN_bn2le_padded|
// wrote the result.
uint8_t out[256], zeros[256];
OPENSSL_memset(out, -1, sizeof(out));
OPENSSL_memset(zeros, 0, sizeof(zeros));
ASSERT_TRUE(BN_bn2le_padded(out, sizeof(out), x.get()));
EXPECT_EQ(Bytes(zeros), Bytes(out));
ASSERT_TRUE(BN_le2bn(out, sizeof(out), y.get()));
EXPECT_BIGNUMS_EQUAL("BN_le2bn round-trip", x.get(), y.get());
// Test random numbers at various byte lengths.
for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
ASSERT_TRUE(
BN_rand(x.get(), bytes * 8, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY));
// Fill |out| with garbage to ensure |BN_bn2le_padded| wrote the result.
OPENSSL_memset(out, -1, sizeof(out));
ASSERT_TRUE(BN_bn2le_padded(out, sizeof(out), x.get()));
// Compute the expected value by reversing the big-endian output.
uint8_t expected[sizeof(out)];
ASSERT_TRUE(BN_bn2bin_padded(expected, sizeof(expected), x.get()));
for (size_t i = 0; i < sizeof(expected) / 2; i++) {
uint8_t tmp = expected[i];
expected[i] = expected[sizeof(expected) - 1 - i];
expected[sizeof(expected) - 1 - i] = tmp;
}
EXPECT_EQ(Bytes(out), Bytes(expected));
// Make sure the decoding produces the same BIGNUM.
ASSERT_TRUE(BN_le2bn(out, bytes, y.get()));
EXPECT_BIGNUMS_EQUAL("BN_le2bn round-trip", x.get(), y.get());
}
}
static int DecimalToBIGNUM(bssl::UniquePtr<BIGNUM> *out, const char *in) {
BIGNUM *raw = NULL;
int ret = BN_dec2bn(&raw, in);
out->reset(raw);
return ret;
}
TEST_F(BNTest, Dec2BN) {
bssl::UniquePtr<BIGNUM> bn;
int ret = DecimalToBIGNUM(&bn, "0");
ASSERT_EQ(1, ret);
EXPECT_TRUE(BN_is_zero(bn.get()));
EXPECT_FALSE(BN_is_negative(bn.get()));
ret = DecimalToBIGNUM(&bn, "256");
ASSERT_EQ(3, ret);
EXPECT_TRUE(BN_is_word(bn.get(), 256));
EXPECT_FALSE(BN_is_negative(bn.get()));
ret = DecimalToBIGNUM(&bn, "-42");
ASSERT_EQ(3, ret);
EXPECT_TRUE(BN_abs_is_word(bn.get(), 42));
EXPECT_TRUE(BN_is_negative(bn.get()));
ret = DecimalToBIGNUM(&bn, "-0");
ASSERT_EQ(2, ret);
EXPECT_TRUE(BN_is_zero(bn.get()));
EXPECT_FALSE(BN_is_negative(bn.get()));
ret = DecimalToBIGNUM(&bn, "42trailing garbage is ignored");
ASSERT_EQ(2, ret);
EXPECT_TRUE(BN_abs_is_word(bn.get(), 42));
EXPECT_FALSE(BN_is_negative(bn.get()));
}
TEST_F(BNTest, Hex2BN) {
bssl::UniquePtr<BIGNUM> bn;
int ret = HexToBIGNUM(&bn, "0");
ASSERT_EQ(1, ret);
EXPECT_TRUE(BN_is_zero(bn.get()));
EXPECT_FALSE(BN_is_negative(bn.get()));
ret = HexToBIGNUM(&bn, "256");
ASSERT_EQ(3, ret);
EXPECT_TRUE(BN_is_word(bn.get(), 0x256));
EXPECT_FALSE(BN_is_negative(bn.get()));
ret = HexToBIGNUM(&bn, "-42");
ASSERT_EQ(3, ret);
EXPECT_TRUE(BN_abs_is_word(bn.get(), 0x42));
EXPECT_TRUE(BN_is_negative(bn.get()));
ret = HexToBIGNUM(&bn, "-0");
ASSERT_EQ(2, ret);
EXPECT_TRUE(BN_is_zero(bn.get()));
EXPECT_FALSE(BN_is_negative(bn.get()));
ret = HexToBIGNUM(&bn, "abctrailing garbage is ignored");
ASSERT_EQ(3, ret);
EXPECT_TRUE(BN_is_word(bn.get(), 0xabc));
EXPECT_FALSE(BN_is_negative(bn.get()));
}
static bssl::UniquePtr<BIGNUM> ASCIIToBIGNUM(const char *in) {
BIGNUM *raw = NULL;
if (!BN_asc2bn(&raw, in)) {
return nullptr;
}
return bssl::UniquePtr<BIGNUM>(raw);
}
TEST_F(BNTest, ASC2BN) {
bssl::UniquePtr<BIGNUM> bn = ASCIIToBIGNUM("0");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_is_zero(bn.get()));
EXPECT_FALSE(BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("256");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_is_word(bn.get(), 256));
EXPECT_FALSE(BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("-42");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_abs_is_word(bn.get(), 42));
EXPECT_TRUE(BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("0x1234");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_is_word(bn.get(), 0x1234));
EXPECT_FALSE(BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("0X1234");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_is_word(bn.get(), 0x1234));
EXPECT_FALSE(BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("-0xabcd");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_abs_is_word(bn.get(), 0xabcd));
EXPECT_FALSE(!BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("-0");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_is_zero(bn.get()));
EXPECT_FALSE(BN_is_negative(bn.get()));
bn = ASCIIToBIGNUM("123trailing garbage is ignored");
ASSERT_TRUE(bn);
EXPECT_TRUE(BN_is_word(bn.get(), 123));
EXPECT_FALSE(BN_is_negative(bn.get()));
}
struct MPITest {
const char *base10;
const char *mpi;
size_t mpi_len;
};
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 },
};
TEST_F(BNTest, MPI) {
uint8_t scratch[8];
for (const auto &test : kMPITests) {
SCOPED_TRACE(test.base10);
bssl::UniquePtr<BIGNUM> bn(ASCIIToBIGNUM(test.base10));
ASSERT_TRUE(bn);
const size_t mpi_len = BN_bn2mpi(bn.get(), NULL);
ASSERT_LE(mpi_len, sizeof(scratch)) << "MPI size is too large to test";
const size_t mpi_len2 = BN_bn2mpi(bn.get(), scratch);
EXPECT_EQ(mpi_len, mpi_len2);
EXPECT_EQ(Bytes(test.mpi, test.mpi_len), Bytes(scratch, mpi_len));
bssl::UniquePtr<BIGNUM> bn2(BN_mpi2bn(scratch, mpi_len, NULL));
ASSERT_TRUE(bn2) << "failed to parse";
EXPECT_BIGNUMS_EQUAL("BN_mpi2bn", bn.get(), bn2.get());
}
}
TEST_F(BNTest, Rand) {
bssl::UniquePtr<BIGNUM> bn(BN_new());
ASSERT_TRUE(bn);
// Test BN_rand accounts for degenerate cases with |top| and |bottom|
// parameters.
ASSERT_TRUE(BN_rand(bn.get(), 0, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY));
EXPECT_TRUE(BN_is_zero(bn.get()));
ASSERT_TRUE(BN_rand(bn.get(), 0, BN_RAND_TOP_TWO, BN_RAND_BOTTOM_ODD));
EXPECT_TRUE(BN_is_zero(bn.get()));
ASSERT_TRUE(BN_rand(bn.get(), 1, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY));
EXPECT_TRUE(BN_is_word(bn.get(), 1));
ASSERT_TRUE(BN_rand(bn.get(), 1, BN_RAND_TOP_TWO, BN_RAND_BOTTOM_ANY));
EXPECT_TRUE(BN_is_word(bn.get(), 1));
ASSERT_TRUE(BN_rand(bn.get(), 1, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ODD));
EXPECT_TRUE(BN_is_word(bn.get(), 1));
ASSERT_TRUE(BN_rand(bn.get(), 2, BN_RAND_TOP_TWO, BN_RAND_BOTTOM_ANY));
EXPECT_TRUE(BN_is_word(bn.get(), 3));
}
TEST_F(BNTest, RandRange) {
bssl::UniquePtr<BIGNUM> bn(BN_new()), six(BN_new());
ASSERT_TRUE(bn);
ASSERT_TRUE(six);
ASSERT_TRUE(BN_set_word(six.get(), 6));
// Generate 1,000 random numbers and ensure they all stay in range. This check
// may flakily pass when it should have failed but will not flakily fail.
bool seen[6] = {false, false, false, false, false};
for (unsigned i = 0; i < 1000; i++) {
SCOPED_TRACE(i);
ASSERT_TRUE(BN_rand_range_ex(bn.get(), 1, six.get()));
BN_ULONG word = BN_get_word(bn.get());
if (BN_is_negative(bn.get()) ||
word < 1 ||
word >= 6) {
FAIL() << "BN_rand_range_ex generated invalid value: " << word;
}
seen[word] = true;
}
// Test that all numbers were accounted for. Note this test is probabilistic
// and may flakily fail when it should have passed. As an upper-bound on the
// failure probability, we'll never see any one number with probability
// (4/5)^1000, so the probability of failure is at most 5*(4/5)^1000. This is
// around 1 in 2^320.
for (unsigned i = 1; i < 6; i++) {
EXPECT_TRUE(seen[i]) << "BN_rand_range failed to generated " << i;
}
}
struct ASN1Test {
const char *value_ascii;
const char *der;
size_t der_len;
};
static const ASN1Test kASN1Tests[] = {
{"0", "\x02\x01\x00", 3},
{"1", "\x02\x01\x01", 3},
{"127", "\x02\x01\x7f", 3},
{"128", "\x02\x02\x00\x80", 4},
{"0xdeadbeef", "\x02\x05\x00\xde\xad\xbe\xef", 7},
{"0x0102030405060708",
"\x02\x08\x01\x02\x03\x04\x05\x06\x07\x08", 10},
{"0xffffffffffffffff",
"\x02\x09\x00\xff\xff\xff\xff\xff\xff\xff\xff", 11},
};
struct ASN1InvalidTest {
const char *der;
size_t der_len;
};
static const ASN1InvalidTest kASN1InvalidTests[] = {
// Bad tag.
{"\x03\x01\x00", 3},
// Empty contents.
{"\x02\x00", 2},
// Negative numbers.
{"\x02\x01\x80", 3},
{"\x02\x01\xff", 3},
// Unnecessary leading zeros.
{"\x02\x02\x00\x01", 4},
};
TEST_F(BNTest, ASN1) {
for (const ASN1Test &test : kASN1Tests) {
SCOPED_TRACE(test.value_ascii);
bssl::UniquePtr<BIGNUM> bn = ASCIIToBIGNUM(test.value_ascii);
ASSERT_TRUE(bn);
// Test that the input is correctly parsed.
bssl::UniquePtr<BIGNUM> bn2(BN_new());
ASSERT_TRUE(bn2);
CBS cbs;
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
ASSERT_TRUE(BN_parse_asn1_unsigned(&cbs, bn2.get()));
EXPECT_EQ(0u, CBS_len(&cbs));
EXPECT_BIGNUMS_EQUAL("decode ASN.1", bn.get(), bn2.get());
// Test the value serializes correctly.
bssl::ScopedCBB cbb;
uint8_t *der;
size_t der_len;
ASSERT_TRUE(CBB_init(cbb.get(), 0));
ASSERT_TRUE(BN_marshal_asn1(cbb.get(), bn.get()));
ASSERT_TRUE(CBB_finish(cbb.get(), &der, &der_len));
bssl::UniquePtr<uint8_t> delete_der(der);
EXPECT_EQ(Bytes(test.der, test.der_len), Bytes(der, der_len));
}
for (const ASN1InvalidTest &test : kASN1InvalidTests) {
SCOPED_TRACE(Bytes(test.der, test.der_len));;
bssl::UniquePtr<BIGNUM> bn(BN_new());
ASSERT_TRUE(bn);
CBS cbs;
CBS_init(&cbs, reinterpret_cast<const uint8_t *>(test.der), test.der_len);
EXPECT_FALSE(BN_parse_asn1_unsigned(&cbs, bn.get()))
<< "Parsed invalid input.";
ERR_clear_error();
}
// Serializing negative numbers is not supported.
bssl::UniquePtr<BIGNUM> bn = ASCIIToBIGNUM("-1");
ASSERT_TRUE(bn);
bssl::ScopedCBB cbb;
ASSERT_TRUE(CBB_init(cbb.get(), 0));
EXPECT_FALSE(BN_marshal_asn1(cbb.get(), bn.get()))
<< "Serialized negative number.";
ERR_clear_error();
}
TEST_F(BNTest, NegativeZero) {
bssl::UniquePtr<BIGNUM> a(BN_new());
bssl::UniquePtr<BIGNUM> b(BN_new());
bssl::UniquePtr<BIGNUM> c(BN_new());
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(c);
// Test that BN_mul never gives negative zero.
ASSERT_TRUE(BN_set_word(a.get(), 1));
BN_set_negative(a.get(), 1);
BN_zero(b.get());
ASSERT_TRUE(BN_mul(c.get(), a.get(), b.get(), ctx()));
EXPECT_TRUE(BN_is_zero(c.get()));
EXPECT_FALSE(BN_is_negative(c.get()));
bssl::UniquePtr<BIGNUM> numerator(BN_new()), denominator(BN_new());
ASSERT_TRUE(numerator);
ASSERT_TRUE(denominator);
// Test that BN_div never gives negative zero in the quotient.
ASSERT_TRUE(BN_set_word(numerator.get(), 1));
ASSERT_TRUE(BN_set_word(denominator.get(), 2));
BN_set_negative(numerator.get(), 1);
ASSERT_TRUE(
BN_div(a.get(), b.get(), numerator.get(), denominator.get(), ctx()));
EXPECT_TRUE(BN_is_zero(a.get()));
EXPECT_FALSE(BN_is_negative(a.get()));
// Test that BN_div never gives negative zero in the remainder.
ASSERT_TRUE(BN_set_word(denominator.get(), 1));
ASSERT_TRUE(
BN_div(a.get(), b.get(), numerator.get(), denominator.get(), ctx()));
EXPECT_TRUE(BN_is_zero(b.get()));
EXPECT_FALSE(BN_is_negative(b.get()));
// Test that BN_set_negative will not produce a negative zero.
BN_zero(a.get());
BN_set_negative(a.get(), 1);
EXPECT_FALSE(BN_is_negative(a.get()));
// Test that forcibly creating a negative zero does not break |BN_bn2hex| or
// |BN_bn2dec|.
a->neg = 1;
bssl::UniquePtr<char> dec(BN_bn2dec(a.get()));
bssl::UniquePtr<char> hex(BN_bn2hex(a.get()));
ASSERT_TRUE(dec);
ASSERT_TRUE(hex);
EXPECT_STREQ("-0", dec.get());
EXPECT_STREQ("-0", hex.get());
// Test that |BN_rshift| and |BN_rshift1| will not produce a negative zero.
ASSERT_TRUE(BN_set_word(a.get(), 1));
BN_set_negative(a.get(), 1);
ASSERT_TRUE(BN_rshift(b.get(), a.get(), 1));
EXPECT_TRUE(BN_is_zero(b.get()));
EXPECT_FALSE(BN_is_negative(b.get()));
ASSERT_TRUE(BN_rshift1(c.get(), a.get()));
EXPECT_TRUE(BN_is_zero(c.get()));
EXPECT_FALSE(BN_is_negative(c.get()));
// Test that |BN_div_word| will not produce a negative zero.
ASSERT_NE((BN_ULONG)-1, BN_div_word(a.get(), 2));
EXPECT_TRUE(BN_is_zero(a.get()));
EXPECT_FALSE(BN_is_negative(a.get()));
}
TEST_F(BNTest, BadModulus) {
bssl::UniquePtr<BIGNUM> a(BN_new());
bssl::UniquePtr<BIGNUM> b(BN_new());
bssl::UniquePtr<BIGNUM> zero(BN_new());
bssl::UniquePtr<BN_MONT_CTX> mont(BN_MONT_CTX_new());
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(zero);
ASSERT_TRUE(mont);
BN_zero(zero.get());
EXPECT_FALSE(BN_div(a.get(), b.get(), BN_value_one(), zero.get(), ctx()));
ERR_clear_error();
EXPECT_FALSE(
BN_mod_mul(a.get(), BN_value_one(), BN_value_one(), zero.get(), ctx()));
ERR_clear_error();
EXPECT_FALSE(
BN_mod_exp(a.get(), BN_value_one(), BN_value_one(), zero.get(), ctx()));
ERR_clear_error();
EXPECT_FALSE(BN_mod_exp_mont(a.get(), BN_value_one(), BN_value_one(),
zero.get(), ctx(), NULL));
ERR_clear_error();
EXPECT_FALSE(BN_mod_exp_mont_consttime(
a.get(), BN_value_one(), BN_value_one(), zero.get(), ctx(), nullptr));
ERR_clear_error();
EXPECT_FALSE(BN_MONT_CTX_set(mont.get(), zero.get(), ctx()));
ERR_clear_error();
// Some operations also may not be used with an even modulus.
ASSERT_TRUE(BN_set_word(b.get(), 16));
EXPECT_FALSE(BN_MONT_CTX_set(mont.get(), b.get(), ctx()));
ERR_clear_error();
EXPECT_FALSE(BN_mod_exp_mont(a.get(), BN_value_one(), BN_value_one(), b.get(),
ctx(), NULL));
ERR_clear_error();
EXPECT_FALSE(BN_mod_exp_mont_consttime(
a.get(), BN_value_one(), BN_value_one(), b.get(), ctx(), nullptr));
ERR_clear_error();
}
// Test that 1**0 mod 1 == 0.
TEST_F(BNTest, ExpModZero) {
bssl::UniquePtr<BIGNUM> zero(BN_new()), a(BN_new()), r(BN_new());
ASSERT_TRUE(zero);
ASSERT_TRUE(a);
ASSERT_TRUE(r);
ASSERT_TRUE(BN_rand(a.get(), 1024, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY));
BN_zero(zero.get());
ASSERT_TRUE(
BN_mod_exp(r.get(), a.get(), zero.get(), BN_value_one(), nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(BN_mod_exp_mont(r.get(), a.get(), zero.get(), BN_value_one(),
nullptr, nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(BN_mod_exp_mont_consttime(r.get(), a.get(), zero.get(),
BN_value_one(), nullptr, nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(BN_mod_exp_mont_word(r.get(), 42, zero.get(), BN_value_one(),
nullptr, nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
}
TEST_F(BNTest, SmallPrime) {
static const unsigned kBits = 10;
bssl::UniquePtr<BIGNUM> r(BN_new());
ASSERT_TRUE(r);
ASSERT_TRUE(BN_generate_prime_ex(r.get(), static_cast<int>(kBits), 0, NULL,
NULL, NULL));
EXPECT_EQ(kBits, BN_num_bits(r.get()));
}
TEST_F(BNTest, CmpWord) {
static const BN_ULONG kMaxWord = (BN_ULONG)-1;
bssl::UniquePtr<BIGNUM> r(BN_new());
ASSERT_TRUE(r);
ASSERT_TRUE(BN_set_word(r.get(), 0));
EXPECT_EQ(BN_cmp_word(r.get(), 0), 0);
EXPECT_LT(BN_cmp_word(r.get(), 1), 0);
EXPECT_LT(BN_cmp_word(r.get(), kMaxWord), 0);
ASSERT_TRUE(BN_set_word(r.get(), 100));
EXPECT_GT(BN_cmp_word(r.get(), 0), 0);
EXPECT_GT(BN_cmp_word(r.get(), 99), 0);
EXPECT_EQ(BN_cmp_word(r.get(), 100), 0);
EXPECT_LT(BN_cmp_word(r.get(), 101), 0);
EXPECT_LT(BN_cmp_word(r.get(), kMaxWord), 0);
BN_set_negative(r.get(), 1);
EXPECT_LT(BN_cmp_word(r.get(), 0), 0);
EXPECT_LT(BN_cmp_word(r.get(), 100), 0);
EXPECT_LT(BN_cmp_word(r.get(), kMaxWord), 0);
ASSERT_TRUE(BN_set_word(r.get(), kMaxWord));
EXPECT_GT(BN_cmp_word(r.get(), 0), 0);
EXPECT_GT(BN_cmp_word(r.get(), kMaxWord - 1), 0);
EXPECT_EQ(BN_cmp_word(r.get(), kMaxWord), 0);
ASSERT_TRUE(BN_add(r.get(), r.get(), BN_value_one()));
EXPECT_GT(BN_cmp_word(r.get(), 0), 0);
EXPECT_GT(BN_cmp_word(r.get(), kMaxWord), 0);
BN_set_negative(r.get(), 1);
EXPECT_LT(BN_cmp_word(r.get(), 0), 0);
EXPECT_LT(BN_cmp_word(r.get(), kMaxWord), 0);
}
TEST_F(BNTest, BN2Dec) {
static const char *kBN2DecTests[] = {
"0",
"1",
"-1",
"100",
"-100",
"123456789012345678901234567890",
"-123456789012345678901234567890",
"123456789012345678901234567890123456789012345678901234567890",
"-123456789012345678901234567890123456789012345678901234567890",
};
for (const char *test : kBN2DecTests) {
SCOPED_TRACE(test);
bssl::UniquePtr<BIGNUM> bn;
int ret = DecimalToBIGNUM(&bn, test);
ASSERT_NE(0, ret);
bssl::UniquePtr<char> dec(BN_bn2dec(bn.get()));
ASSERT_TRUE(dec);
EXPECT_STREQ(test, dec.get());
}
}
TEST_F(BNTest, SetGetU64) {
static const struct {
const char *hex;
uint64_t value;
} kU64Tests[] = {
{"0", UINT64_C(0x0)},
{"1", UINT64_C(0x1)},
{"ffffffff", UINT64_C(0xffffffff)},
{"100000000", UINT64_C(0x100000000)},
{"ffffffffffffffff", UINT64_C(0xffffffffffffffff)},
};
for (const auto& test : kU64Tests) {
SCOPED_TRACE(test.hex);
bssl::UniquePtr<BIGNUM> bn(BN_new()), expected;
ASSERT_TRUE(bn);
ASSERT_TRUE(BN_set_u64(bn.get(), test.value));
ASSERT_TRUE(HexToBIGNUM(&expected, test.hex));
EXPECT_BIGNUMS_EQUAL("BN_set_u64", expected.get(), bn.get());
uint64_t tmp;
ASSERT_TRUE(BN_get_u64(bn.get(), &tmp));
EXPECT_EQ(test.value, tmp);
// BN_get_u64 ignores the sign bit.
BN_set_negative(bn.get(), 1);
ASSERT_TRUE(BN_get_u64(bn.get(), &tmp));
EXPECT_EQ(test.value, tmp);
}
// Test that BN_get_u64 fails on large numbers.
bssl::UniquePtr<BIGNUM> bn(BN_new());
ASSERT_TRUE(bn);
ASSERT_TRUE(BN_lshift(bn.get(), BN_value_one(), 64));
uint64_t tmp;
EXPECT_FALSE(BN_get_u64(bn.get(), &tmp));
BN_set_negative(bn.get(), 1);
EXPECT_FALSE(BN_get_u64(bn.get(), &tmp));
}
TEST_F(BNTest, Pow2) {
bssl::UniquePtr<BIGNUM> power_of_two(BN_new()), random(BN_new()),
expected(BN_new()), actual(BN_new());
ASSERT_TRUE(power_of_two);
ASSERT_TRUE(random);
ASSERT_TRUE(expected);
ASSERT_TRUE(actual);
// Choose an exponent.
for (size_t e = 3; e < 512; e += 11) {
SCOPED_TRACE(e);
// Choose a bit length for our randoms.
for (int len = 3; len < 512; len += 23) {
SCOPED_TRACE(len);
// Set power_of_two = 2^e.
ASSERT_TRUE(BN_lshift(power_of_two.get(), BN_value_one(), (int)e));
// Test BN_is_pow2 on power_of_two.
EXPECT_TRUE(BN_is_pow2(power_of_two.get()));
// Pick a large random value, ensuring it isn't a power of two.
ASSERT_TRUE(
BN_rand(random.get(), len, BN_RAND_TOP_TWO, BN_RAND_BOTTOM_ANY));
// Test BN_is_pow2 on |r|.
EXPECT_FALSE(BN_is_pow2(random.get()));
// Test BN_mod_pow2 on |r|.
ASSERT_TRUE(
BN_mod(expected.get(), random.get(), power_of_two.get(), ctx()));
ASSERT_TRUE(BN_mod_pow2(actual.get(), random.get(), e));
EXPECT_BIGNUMS_EQUAL("random (mod power_of_two)", expected.get(),
actual.get());
// Test BN_nnmod_pow2 on |r|.
ASSERT_TRUE(
BN_nnmod(expected.get(), random.get(), power_of_two.get(), ctx()));
ASSERT_TRUE(BN_nnmod_pow2(actual.get(), random.get(), e));
EXPECT_BIGNUMS_EQUAL("random (mod power_of_two), non-negative",
expected.get(), actual.get());
// Test BN_nnmod_pow2 on -|r|.
BN_set_negative(random.get(), 1);
ASSERT_TRUE(
BN_nnmod(expected.get(), random.get(), power_of_two.get(), ctx()));
ASSERT_TRUE(BN_nnmod_pow2(actual.get(), random.get(), e));
EXPECT_BIGNUMS_EQUAL("-random (mod power_of_two), non-negative",
expected.get(), actual.get());
}
}
}
static const int kPrimes[] = {
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,
37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79,
83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137,
139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193,
197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257,
263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317,
331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389,
397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457,
461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523,
541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601,
607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661,
673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743,
751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823,
827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887,
907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977,
983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049,
1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117,
1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213,
1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289,
1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373,
1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453,
1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531,
1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607,
1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693,
1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777,
1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871,
1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951,
1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029,
2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113,
2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213,
2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293,
2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377,
2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447,
2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551,
2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659,
2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713,
2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797,
2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887,
2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971,
2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079,
3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187,
3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271,
3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359,
3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461,
3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539,
3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617,
3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701,
3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797,
3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889,
3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989,
4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073,
4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157,
4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253,
4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349,
4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451,
4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547,
4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643,
4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729,
4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817,
4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937,
4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009,
5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101,
5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209,
5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309,
5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417,
5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501,
5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581,
5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683,
5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783,
5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857,
5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953,
5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073,
6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163,
6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263,
6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337,
6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427,
6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553,
6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659,
6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737,
6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833,
6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947,
6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013,
7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127,
7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229,
7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333,
7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477,
7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547,
7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621,
7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717,
7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829,
7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927,
7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053,
8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147,
8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237,
8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329,
8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443,
8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563,
8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663,
8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737,
8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831,
8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933,
8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029,
9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137,
9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227,
9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337,
9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421,
9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497,
9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623,
9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721,
9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811,
9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901,
9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037,
10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133,
10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223,
10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313,
10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429,
10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529,
10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639,
10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733,
10739, 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859,
10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957,
10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071,
11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171,
11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279,
11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393,
11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491,
11497, 11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617,
11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731,
11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831,
11833, 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933,
11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037,
12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119,
12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241,
12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343,
12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437,
12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527,
12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613,
12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713,
12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823,
12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923,
12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009,
13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127,
13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229,
13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337,
13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457,
13463, 13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577,
13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687,
13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759,
13763, 13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877,
13879, 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967,
13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083,
14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221,
14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347,
14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447,
14449, 14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551,
14557, 14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653,
14657, 14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747,
14753, 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831,
14843, 14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939,
14947, 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073,
15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161,
15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269,
15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349,
15359, 15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443,
15451, 15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559,
15569, 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649,
15661, 15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749,
15761, 15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859,
15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959,
15971, 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069,
16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187,
16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301,
16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421,
16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529,
16547, 16553, 16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649,
16651, 16657, 16661, 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747,
16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879, 16883,
16889, 16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981,
16987, 16993, 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077,
17093, 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191,
17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321,
17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401,
17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483, 17489, 17491,
17497, 17509, 17519, 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599,
17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729,
17737, 17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839,
17851, 17863, 17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 17939,
17957, 17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047,
18049, 18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133,
18143, 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233,
18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329,
18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439,
18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539,
18541, 18553, 18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691,
18701, 18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 18797,
18803, 18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959,
18973, 18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079,
19081, 19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211,
19213, 19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309,
19319, 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423,
19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483,
19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577, 19583,
19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727,
19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841,
19843, 19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949,
19961, 19963, 19973, 19979, 19991, 19993, 19997,
};
TEST_F(BNTest, PrimeChecking) {
bssl::UniquePtr<BIGNUM> p(BN_new());
ASSERT_TRUE(p);
int is_probably_prime_1 = 0, is_probably_prime_2 = 0;
const int max_prime = kPrimes[OPENSSL_ARRAY_SIZE(kPrimes)-1];
size_t next_prime_index = 0;
for (int i = 0; i <= max_prime; i++) {
SCOPED_TRACE(i);
bool is_prime = false;
if (i == kPrimes[next_prime_index]) {
is_prime = true;
next_prime_index++;
}
ASSERT_TRUE(BN_set_word(p.get(), i));
ASSERT_TRUE(BN_primality_test(
&is_probably_prime_1, p.get(), BN_prime_checks, ctx(),
false /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(is_prime ? 1 : 0, is_probably_prime_1);
ASSERT_TRUE(BN_primality_test(
&is_probably_prime_2, p.get(), BN_prime_checks, ctx(),
true /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(is_prime ? 1 : 0, is_probably_prime_2);
}
// Negative numbers are not prime.
ASSERT_TRUE(BN_set_word(p.get(), 7));
BN_set_negative(p.get(), 1);
ASSERT_TRUE(BN_primality_test(&is_probably_prime_1, p.get(), BN_prime_checks,
ctx(), false /* do_trial_division */,
nullptr /* callback */));
EXPECT_EQ(0, is_probably_prime_1);
ASSERT_TRUE(BN_primality_test(&is_probably_prime_2, p.get(), BN_prime_checks,
ctx(), true /* do_trial_division */,
nullptr /* callback */));
EXPECT_EQ(0, is_probably_prime_2);
}
TEST_F(BNTest, NumBitsWord) {
constexpr BN_ULONG kOne = 1;
// 2^(N-1) takes N bits.
for (unsigned i = 1; i < BN_BITS2; i++) {
EXPECT_EQ(i, BN_num_bits_word(kOne << (i - 1))) << i;
}
// 2^N - 1 takes N bits.
for (unsigned i = 0; i < BN_BITS2; i++) {
EXPECT_EQ(i, BN_num_bits_word((kOne << i) - 1)) << i;
}
for (unsigned i = 1; i < 100; i++) {
// Generate a random value of a random length.
uint8_t buf[1 + sizeof(BN_ULONG)];
RAND_bytes(buf, sizeof(buf));
BN_ULONG w;
memcpy(&w, &buf[1], sizeof(w));
const unsigned num_bits = buf[0] % (BN_BITS2 + 1);
if (num_bits == BN_BITS2) {
w |= kOne << (BN_BITS2 - 1);
} else if (num_bits == 0) {
w = 0;
} else {
w &= (kOne << num_bits) - 1;
w |= kOne << (num_bits - 1);
}
EXPECT_EQ(num_bits, BN_num_bits_word(w)) << w;
}
}
#if !defined(BORINGSSL_SHARED_LIBRARY)
TEST_F(BNTest, LessThanWords) {
// kTestVectors is an array of 256-bit values in sorted order.
static const BN_ULONG kTestVectors[][256 / BN_BITS2] = {
{TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0x00000001), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0x00000002), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0x0000ffff), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0x83339914), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0xfffffffe), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0xffffffff), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0xed17ac85, 0x83339914), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0xffffffff, 0xffffffff), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0x83339914), TOBN(0x00000000, 0x00000001),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff),
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000)},
{TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff),
TOBN(0xffffffff, 0xffffffff), TOBN(0x00000000, 0x00000000)},
{TOBN(0x00000000, 0x00000000), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0x00000000, 0x83339915), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0xed17ac85, 0x00000000), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0xed17ac85, 0x83339915), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0xed17ac85, 0xffffffff), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0xffffffff, 0x83339915), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0xffffffff, 0xffffffff), TOBN(0x1d6f60ba, 0x893ba84c),
TOBN(0x597d89b3, 0x754abe9f), TOBN(0xb504f333, 0xf9de6484)},
{TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000),
TOBN(0x00000000, 0x00000000), TOBN(0xffffffff, 0xffffffff)},
{TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000),
TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff)},
{TOBN(0x00000000, 0x00000001), TOBN(0x00000000, 0x00000000),
TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff)},
{TOBN(0x00000000, 0x00000000), TOBN(0xffffffff, 0xffffffff),
TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff)},
{TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff),
TOBN(0xffffffff, 0xffffffff), TOBN(0xffffffff, 0xffffffff)},
};
// Determine where the single-word values stop.
size_t one_word;
for (one_word = 0; one_word < OPENSSL_ARRAY_SIZE(kTestVectors); one_word++) {
int is_word = 1;
for (size_t i = 1; i < OPENSSL_ARRAY_SIZE(kTestVectors[one_word]); i++) {
if (kTestVectors[one_word][i] != 0) {
is_word = 0;
break;
}
}
if (!is_word) {
break;
}
}
for (size_t i = 0; i < OPENSSL_ARRAY_SIZE(kTestVectors); i++) {
SCOPED_TRACE(i);
for (size_t j = 0; j < OPENSSL_ARRAY_SIZE(kTestVectors); j++) {
SCOPED_TRACE(j);
EXPECT_EQ(i < j ? 1 : 0,
bn_less_than_words(kTestVectors[i], kTestVectors[j],
OPENSSL_ARRAY_SIZE(kTestVectors[i])));
for (size_t k = 0; k < one_word; k++) {
SCOPED_TRACE(k);
EXPECT_EQ(k <= i && i < j ? 1 : 0,
bn_in_range_words(kTestVectors[i], kTestVectors[k][0],
kTestVectors[j],
OPENSSL_ARRAY_SIZE(kTestVectors[i])));
}
}
}
EXPECT_EQ(0, bn_less_than_words(NULL, NULL, 0));
EXPECT_EQ(0, bn_in_range_words(NULL, 0, NULL, 0));
}
#endif // !BORINGSSL_SHARED_LIBRARY
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