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40e4ecb793
boringssl/crypto/fipsmodule/bn/bn_test.cc
David Benjamin 40e4ecb793 Add "small" variants of Montgomery logic. 
These use the square and multiply functions added earlier.

Change-Id: I723834f9a227a9983b752504a2d7ce0223c43d24
Reviewed-on: https://boringssl-review.googlesource.com/23070
Reviewed-by: Adam Langley <agl@google.com>
2017-11-20 16:23:01 +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 "./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());
}
}
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);
}
#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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