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boringssl / boringssl / 3c1747b5c7520e3344056cc6c84f5bba9da75310 / . / src / crypto / fipsmodule / bn / bn_test.cc
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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. */
#include <assert.h>
#include <errno.h>
#include <limits.h>
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <limits>
#include <utility>
#include <gtest/gtest.h>
#include <openssl/bio.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 "./rsaz_exp.h"
#include "../../internal.h"
#include "../../test/abi_test.h"
#include "../../test/file_test.h"
#include "../../test/test_util.h"
#include "../../test/wycheproof_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;
}
// A BIGNUMFileTest wraps a FileTest to give |BIGNUM| values and also allows
// injecting oversized |BIGNUM|s.
class BIGNUMFileTest {
public:
BIGNUMFileTest(FileTest *t, unsigned large_mask)
: t_(t), large_mask_(large_mask), num_bignums_(0) {}
unsigned num_bignums() const { return num_bignums_; }
bssl::UniquePtr<BIGNUM> GetBIGNUM(const char *attribute) {
return GetBIGNUMImpl(attribute, true /* resize */);
}
bool GetInt(int *out, const char *attribute) {
bssl::UniquePtr<BIGNUM> ret =
GetBIGNUMImpl(attribute, false /* don't resize */);
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;
}
private:
bssl::UniquePtr<BIGNUM> GetBIGNUMImpl(const char *attribute, bool resize) {
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;
}
if (resize) {
// Test with an oversized |BIGNUM| if necessary.
if ((large_mask_ & (1 << num_bignums_)) &&
!bn_resize_words(ret.get(), ret->width * 2 + 1)) {
return nullptr;
}
num_bignums_++;
}
return ret;
}
FileTest *t_;
unsigned large_mask_;
unsigned num_bignums_;
};
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(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> b = t->GetBIGNUM("B");
bssl::UniquePtr<BIGNUM> sum = t->GetBIGNUM("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())) {
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());
ASSERT_TRUE(bn_abs_sub_consttime(ret.get(), sum.get(), a.get(), ctx));
EXPECT_BIGNUMS_EQUAL("|Sum - A|", b.get(), ret.get());
ASSERT_TRUE(bn_abs_sub_consttime(ret.get(), a.get(), sum.get(), ctx));
EXPECT_BIGNUMS_EQUAL("|A - Sum|", b.get(), ret.get());
ASSERT_TRUE(bn_abs_sub_consttime(ret.get(), sum.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("|Sum - B|", a.get(), ret.get());
ASSERT_TRUE(bn_abs_sub_consttime(ret.get(), b.get(), sum.get(), ctx));
EXPECT_BIGNUMS_EQUAL("|B - Sum|", 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(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> lshift1 = t->GetBIGNUM("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_lshift(ret.get(), a.get(), 1));
EXPECT_BIGNUMS_EQUAL("A << 1 (variable shift)", lshift1.get(), ret.get());
ASSERT_TRUE(BN_rshift1(ret.get(), lshift1.get()));
EXPECT_BIGNUMS_EQUAL("LShift >> 1", a.get(), ret.get());
ASSERT_TRUE(BN_rshift(ret.get(), lshift1.get(), 1));
EXPECT_BIGNUMS_EQUAL("LShift >> 1 (variable shift)", a.get(), ret.get());
ASSERT_TRUE(bn_rshift_secret_shift(ret.get(), lshift1.get(), 1, ctx));
EXPECT_BIGNUMS_EQUAL("LShift >> 1 (secret shift)", 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());
ASSERT_TRUE(BN_rshift(ret.get(), lshift1.get(), 1));
EXPECT_BIGNUMS_EQUAL("(LShift | 1) >> 1 (variable shift)", a.get(),
ret.get());
ASSERT_TRUE(bn_rshift_secret_shift(ret.get(), lshift1.get(), 1, ctx));
EXPECT_BIGNUMS_EQUAL("(LShift | 1) >> 1 (secret shift)", a.get(), ret.get());
}
static void TestLShift(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> lshift = t->GetBIGNUM("LShift");
ASSERT_TRUE(a);
ASSERT_TRUE(lshift);
int n = 0;
ASSERT_TRUE(t->GetInt(&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_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_lshift(ret.get(), ret.get(), n));
EXPECT_BIGNUMS_EQUAL("A << N (in-place)", lshift.get(), ret.get());
ASSERT_TRUE(BN_rshift(ret.get(), lshift.get(), n));
EXPECT_BIGNUMS_EQUAL("A >> N", a.get(), ret.get());
ASSERT_TRUE(bn_rshift_secret_shift(ret.get(), lshift.get(), n, ctx));
EXPECT_BIGNUMS_EQUAL("A >> N (secret shift)", a.get(), ret.get());
}
static void TestRShift(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> rshift = t->GetBIGNUM("RShift");
ASSERT_TRUE(a);
ASSERT_TRUE(rshift);
int n = 0;
ASSERT_TRUE(t->GetInt(&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());
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_rshift(ret.get(), ret.get(), n));
EXPECT_BIGNUMS_EQUAL("A >> N (in-place)", rshift.get(), ret.get());
ASSERT_TRUE(bn_rshift_secret_shift(ret.get(), a.get(), n, ctx));
EXPECT_BIGNUMS_EQUAL("A >> N (secret shift)", rshift.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(bn_rshift_secret_shift(ret.get(), ret.get(), n, ctx));
EXPECT_BIGNUMS_EQUAL("A >> N (in-place secret shift)", rshift.get(),
ret.get());
}
static void TestSquare(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> square = t->GetBIGNUM("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)
int a_width = bn_minimal_width(a.get());
if (a_width <= BN_SMALL_MAX_WORDS) {
for (size_t num_a = a_width; 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.
auto a_words = std::make_unique<BN_ULONG[]>(num_a);
auto r_words = std::make_unique<BN_ULONG[]>(num_r);
ASSERT_TRUE(bn_copy_words(a_words.get(), num_a, a.get()));
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));
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(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> b = t->GetBIGNUM("B");
bssl::UniquePtr<BIGNUM> product = t->GetBIGNUM("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)
BN_set_negative(a.get(), 0);
BN_set_negative(b.get(), 0);
BN_set_negative(product.get(), 0);
int a_width = bn_minimal_width(a.get());
int b_width = bn_minimal_width(b.get());
if (a_width <= BN_SMALL_MAX_WORDS && b_width <= BN_SMALL_MAX_WORDS) {
for (size_t num_a = static_cast<size_t>(a_width);
num_a <= BN_SMALL_MAX_WORDS; num_a++) {
SCOPED_TRACE(num_a);
for (size_t num_b = static_cast<size_t>(b_width);
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.
auto a_words = std::make_unique<BN_ULONG[]>(num_a);
auto b_words = std::make_unique<BN_ULONG[]>(num_b);
auto r_words = std::make_unique<BN_ULONG[]>(num_r);
ASSERT_TRUE(bn_copy_words(a_words.get(), num_a, a.get()));
ASSERT_TRUE(bn_copy_words(b_words.get(), num_b, b.get()));
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(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> b = t->GetBIGNUM("B");
bssl::UniquePtr<BIGNUM> quotient = t->GetBIGNUM("Quotient");
bssl::UniquePtr<BIGNUM> remainder = t->GetBIGNUM("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_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_copy(ret2.get(), b.get()));
ASSERT_TRUE(BN_div(ret.get(), ret2.get(), ret.get(), ret2.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A / B (in-place)", quotient.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("A % B (in-place)", remainder.get(), ret2.get());
ASSERT_TRUE(BN_copy(ret2.get(), a.get()));
ASSERT_TRUE(BN_copy(ret.get(), b.get()));
ASSERT_TRUE(BN_div(ret.get(), ret2.get(), ret2.get(), ret.get(), ctx));
EXPECT_BIGNUMS_EQUAL("A / B (in-place, swapped)", quotient.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("A % B (in-place, swapped)", 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());
// The remaining division variants only handle a positive quotient.
if (BN_is_negative(b.get())) {
BN_set_negative(b.get(), 0);
BN_set_negative(quotient.get(), !BN_is_negative(quotient.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());
// The remaining division variants only handle a positive numerator.
if (BN_is_negative(a.get())) {
BN_set_negative(a.get(), 0);
BN_set_negative(quotient.get(), 0);
BN_set_negative(remainder.get(), 0);
}
// 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 (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);
if (b_word <= 0xffff) {
EXPECT_EQ(remainder_word, bn_mod_u16_consttime(a.get(), b_word));
}
}
ASSERT_TRUE(bn_div_consttime(ret.get(), ret2.get(), a.get(), b.get(),
/*divisor_min_bits=*/0, ctx));
EXPECT_BIGNUMS_EQUAL("A / B (constant-time)", quotient.get(), ret.get());
EXPECT_BIGNUMS_EQUAL("A % B (constant-time)", remainder.get(), ret2.get());
ASSERT_TRUE(bn_div_consttime(ret.get(), ret2.get(), a.get(), b.get(),
/*divisor_min_bits=*/BN_num_bits(b.get()), ctx));
EXPECT_BIGNUMS_EQUAL("A / B (constant-time, public width)", quotient.get(),
ret.get());
EXPECT_BIGNUMS_EQUAL("A % B (constant-time, public width)", remainder.get(),
ret2.get());
}
static void TestModMul(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> b = t->GetBIGNUM("B");
bssl::UniquePtr<BIGNUM> m = t->GetBIGNUM("M");
bssl::UniquePtr<BIGNUM> mod_mul = t->GetBIGNUM("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_for_modulus(m.get(), ctx));
ASSERT_TRUE(mont);
// Sanity-check that the constant-time version computes the same n0 and RR.
bssl::UniquePtr<BN_MONT_CTX> mont2(
BN_MONT_CTX_new_consttime(m.get(), ctx));
ASSERT_TRUE(mont2);
EXPECT_BIGNUMS_EQUAL("RR (mod M) (constant-time)", &mont->RR, &mont2->RR);
EXPECT_EQ(mont->n0[0], mont2->n0[0]);
EXPECT_EQ(mont->n0[1], mont2->n0[1]);
bssl::UniquePtr<BIGNUM> a_tmp(BN_new()), b_tmp(BN_new());
ASSERT_TRUE(a_tmp);
ASSERT_TRUE(b_tmp);
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)
size_t m_width = static_cast<size_t>(bn_minimal_width(m.get()));
if (m_width <= BN_SMALL_MAX_WORDS) {
auto a_words = std::make_unique<BN_ULONG[]>(m_width);
auto b_words = std::make_unique<BN_ULONG[]>(m_width);
auto r_words = std::make_unique<BN_ULONG[]>(m_width);
ASSERT_TRUE(bn_copy_words(a_words.get(), m_width, a.get()));
ASSERT_TRUE(bn_copy_words(b_words.get(), m_width, b.get()));
bn_to_montgomery_small(a_words.get(), a_words.get(), m_width, mont.get());
bn_to_montgomery_small(b_words.get(), b_words.get(), m_width, mont.get());
bn_mod_mul_montgomery_small(r_words.get(), a_words.get(), b_words.get(),
m_width, mont.get());
// Use the second half of |tmp| so ASan will catch out-of-bounds writes.
bn_from_montgomery_small(r_words.get(), m_width, r_words.get(), m_width,
mont.get());
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m_width));
EXPECT_BIGNUMS_EQUAL("A * B (mod M) (Montgomery, words)", mod_mul.get(),
ret.get());
// |bn_from_montgomery_small| must additionally work on double-width
// inputs. Test this by running |bn_from_montgomery_small| on the result
// of a product. Note |a_words| * |b_words| has an extra factor of R^2, so
// we must reduce twice.
auto prod_words = std::make_unique<BN_ULONG[]>(m_width * 2);
bn_mul_small(prod_words.get(), m_width * 2, a_words.get(), m_width,
b_words.get(), m_width);
bn_from_montgomery_small(r_words.get(), m_width, prod_words.get(),
m_width * 2, mont.get());
bn_from_montgomery_small(r_words.get(), m_width, r_words.get(), m_width,
mont.get());
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m_width));
EXPECT_BIGNUMS_EQUAL("A * B (mod M) (Montgomery, words)",
mod_mul.get(), ret.get());
}
#endif
}
}
static void TestModSquare(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> m = t->GetBIGNUM("M");
bssl::UniquePtr<BIGNUM> mod_square = t->GetBIGNUM("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_for_modulus(m.get(), ctx));
bssl::UniquePtr<BIGNUM> a_tmp(BN_new());
ASSERT_TRUE(mont);
ASSERT_TRUE(a_tmp);
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)
size_t m_width = static_cast<size_t>(bn_minimal_width(m.get()));
if (m_width <= BN_SMALL_MAX_WORDS) {
auto a_words = std::make_unique<BN_ULONG[]>(m_width);
auto a_copy_words = std::make_unique<BN_ULONG[]>(m_width);
auto r_words = std::make_unique<BN_ULONG[]>(m_width);
ASSERT_TRUE(bn_copy_words(a_words.get(), m_width, a.get()));
bn_to_montgomery_small(a_words.get(), a_words.get(), m_width, mont.get());
bn_mod_mul_montgomery_small(r_words.get(), a_words.get(), a_words.get(),
m_width, mont.get());
bn_from_montgomery_small(r_words.get(), m_width, r_words.get(), m_width,
mont.get());
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m_width));
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_width * sizeof(BN_ULONG));
bn_mod_mul_montgomery_small(r_words.get(), a_words.get(),
a_copy_words.get(), m_width, mont.get());
// Use the second half of |tmp| so ASan will catch out-of-bounds writes.
bn_from_montgomery_small(r_words.get(), m_width, r_words.get(), m_width,
mont.get());
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m_width));
EXPECT_BIGNUMS_EQUAL("A * A_copy (mod M) (Montgomery, words)",
mod_square.get(), ret.get());
}
#endif
}
}
static void TestModExp(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> e = t->GetBIGNUM("E");
bssl::UniquePtr<BIGNUM> m = t->GetBIGNUM("M");
bssl::UniquePtr<BIGNUM> mod_exp = t->GetBIGNUM("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());
// The other implementations require reduced inputs.
ASSERT_TRUE(BN_nnmod(a.get(), a.get(), m.get(), ctx));
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)
size_t m_width = static_cast<size_t>(bn_minimal_width(m.get()));
if (m_width <= BN_SMALL_MAX_WORDS) {
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(m.get(), ctx));
ASSERT_TRUE(mont.get());
auto r_words = std::make_unique<BN_ULONG[]>(m_width);
auto a_words = std::make_unique<BN_ULONG[]>(m_width);
ASSERT_TRUE(bn_copy_words(a_words.get(), m_width, a.get()));
bn_to_montgomery_small(a_words.get(), a_words.get(), m_width, mont.get());
bn_mod_exp_mont_small(r_words.get(), a_words.get(), m_width, e->d,
e->width, mont.get());
bn_from_montgomery_small(r_words.get(), m_width, r_words.get(), m_width,
mont.get());
ASSERT_TRUE(bn_set_words(ret.get(), r_words.get(), m_width));
EXPECT_BIGNUMS_EQUAL("A ^ E (mod M) (Montgomery, words)", mod_exp.get(),
ret.get());
}
#endif
}
}
static void TestExp(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> e = t->GetBIGNUM("E");
bssl::UniquePtr<BIGNUM> exp = t->GetBIGNUM("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(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> p = t->GetBIGNUM("P");
bssl::UniquePtr<BIGNUM> mod_sqrt = t->GetBIGNUM("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(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> not_mod_square = t->GetBIGNUM("NotModSquare");
bssl::UniquePtr<BIGNUM> p = t->GetBIGNUM("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.";
EXPECT_TRUE(ErrorEquals(ERR_peek_error(), ERR_LIB_BN, BN_R_NOT_A_SQUARE));
ERR_clear_error();
}
static void TestModInv(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> m = t->GetBIGNUM("M");
bssl::UniquePtr<BIGNUM> mod_inv = t->GetBIGNUM("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());
ASSERT_TRUE(BN_gcd(ret.get(), a.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("GCD(A, M)", BN_value_one(), ret.get());
ASSERT_TRUE(BN_nnmod(a.get(), a.get(), m.get(), ctx));
int no_inverse;
ASSERT_TRUE(
bn_mod_inverse_consttime(ret.get(), &no_inverse, a.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("inv(A) (mod M) (constant-time)", mod_inv.get(),
ret.get());
ASSERT_TRUE(BN_copy(ret.get(), m.get()));
ASSERT_TRUE(BN_mod_inverse(ret.get(), a.get(), ret.get(), ctx));
EXPECT_BIGNUMS_EQUAL("inv(A) (mod M) (ret == m)", mod_inv.get(), ret.get());
ASSERT_TRUE(BN_copy(ret.get(), a.get()));
ASSERT_TRUE(BN_mod_inverse(ret.get(), ret.get(), m.get(), ctx));
EXPECT_BIGNUMS_EQUAL("inv(A) (mod M) (ret == a)", mod_inv.get(), ret.get());
}
static void TestGCD(BIGNUMFileTest *t, BN_CTX *ctx) {
bssl::UniquePtr<BIGNUM> a = t->GetBIGNUM("A");
bssl::UniquePtr<BIGNUM> b = t->GetBIGNUM("B");
bssl::UniquePtr<BIGNUM> gcd = t->GetBIGNUM("GCD");
bssl::UniquePtr<BIGNUM> lcm = t->GetBIGNUM("LCM");
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(gcd);
ASSERT_TRUE(lcm);
bssl::UniquePtr<BIGNUM> ret(BN_new());
ASSERT_TRUE(ret);
ASSERT_TRUE(BN_gcd(ret.get(), a.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("GCD(A, B)", gcd.get(), ret.get());
if (!BN_is_one(gcd.get())) {
EXPECT_FALSE(BN_mod_inverse(ret.get(), a.get(), b.get(), ctx))
<< "A^-1 (mod B) computed, but it does not exist";
EXPECT_FALSE(BN_mod_inverse(ret.get(), b.get(), a.get(), ctx))
<< "B^-1 (mod A) computed, but it does not exist";
if (!BN_is_zero(b.get())) {
bssl::UniquePtr<BIGNUM> a_reduced(BN_new());
ASSERT_TRUE(a_reduced);
ASSERT_TRUE(BN_nnmod(a_reduced.get(), a.get(), b.get(), ctx));
int no_inverse;
EXPECT_FALSE(bn_mod_inverse_consttime(ret.get(), &no_inverse,
a_reduced.get(), b.get(), ctx))
<< "A^-1 (mod B) computed, but it does not exist";
EXPECT_TRUE(no_inverse);
}
if (!BN_is_zero(a.get())) {
bssl::UniquePtr<BIGNUM> b_reduced(BN_new());
ASSERT_TRUE(b_reduced);
ASSERT_TRUE(BN_nnmod(b_reduced.get(), b.get(), a.get(), ctx));
int no_inverse;
EXPECT_FALSE(bn_mod_inverse_consttime(ret.get(), &no_inverse,
b_reduced.get(), a.get(), ctx))
<< "B^-1 (mod A) computed, but it does not exist";
EXPECT_TRUE(no_inverse);
}
}
int is_relative_prime;
ASSERT_TRUE(
bn_is_relatively_prime(&is_relative_prime, a.get(), b.get(), ctx));
EXPECT_EQ(is_relative_prime, BN_is_one(gcd.get()));
if (!BN_is_zero(gcd.get())) {
ASSERT_TRUE(bn_lcm_consttime(ret.get(), a.get(), b.get(), ctx));
EXPECT_BIGNUMS_EQUAL("LCM(A, B)", lcm.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_;
};
static void RunBNFileTest(FileTest *t, BN_CTX *ctx) {
static const struct {
const char *name;
void (*func)(BIGNUMFileTest *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},
{"GCD", TestGCD},
};
void (*func)(BIGNUMFileTest * t, BN_CTX * ctx) = nullptr;
for (const auto &test : kTests) {
if (t->GetType() == test.name) {
func = test.func;
break;
}
}
if (!func) {
FAIL() << "Unknown test type: " << t->GetType();
return;
}
// Run the test with normalize-sized |BIGNUM|s.
BIGNUMFileTest bn_test(t, 0);
BN_CTX_start(ctx);
func(&bn_test, ctx);
BN_CTX_end(ctx);
unsigned num_bignums = bn_test.num_bignums();
// Repeat the test with all combinations of large and small |BIGNUM|s.
for (unsigned large_mask = 1; large_mask < (1u << num_bignums);
large_mask++) {
SCOPED_TRACE(large_mask);
BIGNUMFileTest bn_test2(t, large_mask);
BN_CTX_start(ctx);
func(&bn_test2, ctx);
BN_CTX_end(ctx);
}
}
TEST_F(BNTest, ExpTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/exp_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, GCDTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/gcd_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, ModExpTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/mod_exp_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, ModInvTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/mod_inv_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, ModMulTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/mod_mul_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, ModSqrtTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/mod_sqrt_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, ProductTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/product_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, QuotientTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/quotient_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, ShiftTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/shift_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
TEST_F(BNTest, SumTestVectors) {
FileTestGTest("crypto/fipsmodule/bn/test/sum_tests.txt",
[&](FileTest *t) { RunBNFileTest(t, ctx()); });
}
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));
// Repeat some tests with a non-minimal |BIGNUM|.
EXPECT_TRUE(bn_resize_words(n.get(), 32));
EXPECT_FALSE(BN_bn2bin_padded(out, bytes - 1, n.get()));
ASSERT_TRUE(BN_bn2bin_padded(out, bytes + 1, n.get()));
EXPECT_EQ(0u, out[0]);
EXPECT_EQ(Bytes(reference, bytes), Bytes(out + 1, 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_lebin2bn(out, sizeof(out), y.get()));
EXPECT_BIGNUMS_EQUAL("BN_lebin2bn 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_lebin2bn(out, bytes, y.get()));
EXPECT_BIGNUMS_EQUAL("BN_lebin2bn 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);
static const int kTop[] = {BN_RAND_TOP_ANY, BN_RAND_TOP_ONE, BN_RAND_TOP_TWO};
static const int kBottom[] = {BN_RAND_BOTTOM_ANY, BN_RAND_BOTTOM_ODD};
for (unsigned bits = 0; bits < 256; bits++) {
SCOPED_TRACE(bits);
for (int top : kTop) {
SCOPED_TRACE(top);
for (int bottom : kBottom) {
SCOPED_TRACE(bottom);
// Generate 100 numbers and ensure that they have the expected bit
// patterns. The probability of any one bit not covering both its values
// is 2^-100.
bool seen_n_1_clear = false, seen_n_1_set = false;
bool seen_n_2_clear = false, seen_n_2_set = false;
bool seen_0_clear = false, seen_0_set = false;
for (int i = 0; i < 100; i++) {
ASSERT_TRUE(BN_rand(bn.get(), bits, top, bottom));
EXPECT_LE(BN_num_bits(bn.get()), bits);
if (BN_is_bit_set(bn.get(), bits - 1)) {
seen_n_1_set = true;
} else {
seen_n_1_clear = true;
}
if (BN_is_bit_set(bn.get(), bits - 2)) {
seen_n_2_set = true;
} else {
seen_n_2_clear = true;
}
if (BN_is_bit_set(bn.get(), 0)) {
seen_0_set = true;
} else {
seen_0_clear = true;
}
}
if (bits > 0) {
EXPECT_TRUE(seen_0_set);
EXPECT_TRUE(seen_n_1_set);
if (bits > 1) {
EXPECT_TRUE(seen_n_2_set);
}
}
if (bits == 0) {
// Nothing additional to check. The |BN_num_bits| check ensures we
// always got zero.
} else if (bits == 1) {
// Bit zero is bit n-1.
EXPECT_EQ(bottom == BN_RAND_BOTTOM_ANY && top == BN_RAND_TOP_ANY,
seen_0_clear);
} else if (bits == 2) {
// Bit zero is bit n-2.
EXPECT_EQ(bottom == BN_RAND_BOTTOM_ANY && top != BN_RAND_TOP_TWO,
seen_0_clear);
EXPECT_EQ(top == BN_RAND_TOP_ANY, seen_n_1_clear);
} else {
EXPECT_EQ(bottom == BN_RAND_BOTTOM_ANY, seen_0_clear);
EXPECT_EQ(top != BN_RAND_TOP_TWO, seen_n_2_clear);
EXPECT_EQ(top == BN_RAND_TOP_ANY, seen_n_1_clear);
}
}
}
}
}
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());
ASSERT_TRUE(a);
ASSERT_TRUE(b);
ASSERT_TRUE(zero);
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();
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(zero.get(), ctx()));
EXPECT_FALSE(mont);
ERR_clear_error();
mont.reset(BN_MONT_CTX_new_consttime(b.get(), ctx()));
EXPECT_FALSE(mont);
ERR_clear_error();
// Some operations also may not be used with an even modulus.
ASSERT_TRUE(BN_set_word(b.get(), 16));
mont.reset(BN_MONT_CTX_new_for_modulus(b.get(), ctx()));
EXPECT_FALSE(mont);
ERR_clear_error();
mont.reset(BN_MONT_CTX_new_consttime(b.get(), ctx()));
EXPECT_FALSE(mont);
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 a**0 mod 1 == 0.
TEST_F(BNTest, ExpZeroModOne) {
bssl::UniquePtr<BIGNUM> zero(BN_new()), a(BN_new()), r(BN_new()),
minus_one(BN_new());
ASSERT_TRUE(zero);
ASSERT_TRUE(a);
ASSERT_TRUE(r);
ASSERT_TRUE(minus_one);
ASSERT_TRUE(BN_set_word(minus_one.get(), 1));
BN_set_negative(minus_one.get(), 1);
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(), ctx()));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(
BN_mod_exp(r.get(), zero.get(), zero.get(), BN_value_one(), ctx()));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(BN_mod_exp_mont_word(r.get(), 42, zero.get(), BN_value_one(),
ctx(), nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(BN_mod_exp_mont_word(r.get(), 0, zero.get(), BN_value_one(),
ctx(), nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
// |BN_mod_exp_mont| and |BN_mod_exp_mont_consttime| require fully-reduced
// inputs, so a**0 mod 1 is not a valid call. 0**0 mod 1 is valid, however.
ASSERT_TRUE(BN_mod_exp_mont(r.get(), zero.get(), zero.get(), BN_value_one(),
ctx(), nullptr));
EXPECT_TRUE(BN_is_zero(r.get()));
ASSERT_TRUE(BN_mod_exp_mont_consttime(r.get(), zero.get(), zero.get(),
BN_value_one(), ctx(), 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;
enum bn_primality_result_t result_3;
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_for_generation, 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_for_generation, ctx(),
true /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(is_prime ? 1 : 0, is_probably_prime_2);
if (i > 3 && i % 2 == 1) {
ASSERT_TRUE(BN_enhanced_miller_rabin_primality_test(
&result_3, p.get(), BN_prime_checks_for_generation, ctx(),
nullptr /* callback */));
EXPECT_EQ(is_prime, result_3 == bn_probably_prime);
}
}
// 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_for_generation, 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_for_generation, ctx(),
true /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(0, is_probably_prime_2);
static const char *kComposites[] = {
// The following composite numbers come from http://oeis.org/A014233 and
// are such that the first several primes are not a Miller-Rabin composite
// witness.
"2047",
"1373653",
"25326001",
"3215031751",
"2152302898747",
"3474749660383",
"341550071728321",
"3825123056546413051",
"318665857834031151167461",
"3317044064679887385961981",
// The following composite numbers come from https://oeis.org/A033181
// which lists Euler pseudoprimes. These are false positives for the
// Fermat primality
// test.
"1729",
"2465",
"15841",
"41041",
"46657",
"75361",
"162401",
"172081",
"399001",
"449065",
"488881",
"530881",
"656601",
"670033",
"838201",
"997633",
"1050985",
"1615681",
"1773289",
"1857241",
"2113921",
"2433601",
"2455921",
"2704801",
"3057601",
"3224065",
"3581761",
"3664585",
"3828001",
"4463641",
"4903921",
};
for (const char *str : kComposites) {
SCOPED_TRACE(str);
EXPECT_NE(0, DecimalToBIGNUM(&p, str));
ASSERT_TRUE(BN_primality_test(
&is_probably_prime_1, p.get(), BN_prime_checks_for_generation, 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_for_generation, ctx(),
true /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(0, is_probably_prime_2);
ASSERT_TRUE(BN_enhanced_miller_rabin_primality_test(
&result_3, p.get(), BN_prime_checks_for_generation, ctx(),
nullptr /* callback */));
EXPECT_EQ(bn_composite, result_3);
}
static const char *kPrimesHex[] = {
// Various primes extracted from openssl genrsa:
// 512-bit primes.
"ebb00348b1308e29166f0401f7415cc3bf9c746460bcadfd1ad6838b6472f48f3afba0c1"
"446eddc4708c68e307a882771794fbba45799f5b062e090613ee8203",
"d9a896e15c5d0091e81825948f3111c615a32aa0bd9305b9591232138388176fe22ff765"
"63c893b95c0f9898029be67543144c5e76c837333f109a0ffc0fa3db",
"fdecb71e997f234111706cabdfdc515b7e7a2a8d77b3c3a4b4819493d39de84e791be692"
"9ce1c3f5136808504f351eca19884894f581f96fba2b8d652265efe9",
"dc37a778aa89eb4048267573421ac5b9d81a231d05191393bdf06a6a64c684968fd17c4f"
"41fbd5745df2ee447fcc04693e2e3fecec270145388032149da63b3f",
"fbf34841baa2dd4ecf9055328f4902532d80e82f6d8ea186311564b3680b39ea2162fed4"
"701f02bec9d5be19f2e505c58a68620ee8873e8ab8fe98506a8bf9bb",
"c3b3c3156c9d0bf3b27f9bf8274ddc8c8505bacbb4a9595d90354d1a472553d6ae3daa97"
"1396c0361f6355531de29bf8ef1d7b471b5f2267d4b49cbe48ced5f1",
"f8d1216de820efb437ca8070c5f4f34838c46cf354c998e253557cfc400eae7883d0a758"
"0b2e617cca527d9d6c598cbc03ca743791f88a5a065fea9583068f1b",
"cc12d224273b56e6765f6b42583d8da3c89ff531f14961351b5173a9017579cd7bb736e2"
"78e626a426ee5a583b8d6c7b3006687ca9df596902a281e9e9cf3ad5",
// 1024-bit primes.
"f3244013a1b0ec2fe53a684260077d2afc3b35ed77026c594091d92b2eb47fd1266095b8"
"7456cc451942f907079b8a9cd333d4bf22a892dbc632904a6423c5b19bb41fd43764a558"
"0e9a5960d84fadbebfbbfaa5ec39acb78a94937d11d7a62c54a0f983bc8b5507479290de"
"f4e979d3f24ce81f4c506ba3bfca4f402a3b11cf",
"e4a70bdbb96fefd5732e9e94f9d04b9ef16635642ee728d40626861db00d57950697e892"
"d0306de25ee35d5ccce1220e1b19fd2f98af2fdcac5796d860fd75aec31ed48baf5b39cf"
"77ebda6727e33e6f72735ab0121395deb54fd430212499043cd1e11f7d5852f146997952"
"d9959c83542b6cbad3c3a2ebb8698a0172e0c6d1",
"e85ad4595ea74bf886977f4a06120b6ae28ec2d7ee44b4bc8658a8a90a2a55311814dfed"
"ebd08f93e8241dcc87d91d6f6b498c6ec0576a7dad6e5d53b71f89fb985de290c0f02a78"
"f2143217c0b7ae1487a751ec27dfbd46046a06f5ebe337e05ed5d6fe8620b7f82b349c37"
"924d96128e42307fd708a74d608848cbdf6bc799",
"cc890f5fe88bfc4028a2ab5eff9dea7b150ffe75fb29f1904adb4709e86f74eaed44218c"
"d8058341a4b828d4fefeed5e34f50198bf643040037933f4305e1e01c3518279b9fa4131"
"e5afbc462efe9b5ddc4ab91ec2c12abf95b526bb2a6bd7b2bb1ce8203364502f7c3b87ff"
"585c94765505c20f728078a46759615ad23d4fb7",
"ebd8cd32804c6c1e7264de4f9bf1e4d2dbdaa23292c8f4688aa2770f664fe03513974e13"
"0a10ccc6b6ca95846dfecbd2d42285cf0212ff427ddb7cc222bfa459215ad4cc0f1f5fc7"
"4186bbbe96ca4de0d7c793ee050f8e10a242ab9bf03aae5b017b42c405ccee34f59ff501"
"5dbe4cab310bbb3ab50604f663cdb5af070d4a8d",
"e1dab2efc6ba8c980b86164e11fc6c6c4abb53701031de431db2b608ec75fd03c7cf07e6"
"e9d6c36da2a2aafe759f9c3e1522237d4dcae66ef03c86481428d58d4bcdffb919bb8da4"
"4b0ac1cc922d2d904c543b1a09961faf7304af4482dc839091b258523ab5e36302e1157f"
"3e6810513922c5d5c1f559e3a90b91e4cf2f0c9f",
"d76a082eb03584a6253555cf9813206a06c9fc2112b6425e030f12d7d807656175f4c58e"
"e367826ec0d89f03339fb520d7c8a735905e458f849827581e9db22fde302fc55db031fd"
"8f3afe1910eaaa8ed4d122de99fa0a66bf69b932ce84d095ffcb3f98e231199817ebc316"
"460df0c0769fef3f91777a9cf86ccf2e8233818b",
"d506fd2c6557a7f8cd0ac8f0f098bffdede4ee79f74ce6e9478d8651058ec56aa1f4683c"
"20729ee8d11d14b34170ce0cf419a7b22943d5fb443afb22e6a430fe993ac64737428f50"
"37d19398ee226484b5ca64af71012245d87aefbcbd71e867f6fbcc52e0e1c49f1363aec1"
"88c776abb67cda2fd6ce7be4bdbeee57fbafb07b",
// 1536-bit primes.
"f6aa5b151ea2cd151a720174d58c157e8dbbf3dbd93b102fcfb7ad3767cca8543d4fb168"
"7fb907561da1330c7878853859bc2b4b9d639d9b9bba4fce3a95cfd9151c19365e6ad634"
"7edc87acd4b79d2a7ce942c2a391c475cef2d4e347675487cc36a43f157562e32aff9d74"
"e15f228a0ecc8eca2392e04ddea8eda995789c94b9f85dde65e66b074c7843260ebdcd60"
"1cd49e2bf3ab83780281e4a56ada38b16e085f00c05bcce442daf1c9374a3ec2a2345309"
"5570aaa6bb3a3e4945312aed",
"e396e3ede4b0a33fe90b749b3dbc01fdb7d15e37cc3febe3f2b0ee6140204666fa4acb93"
"da893d0ce19d9e5eb09b7395394ced79261ba8b1a40ee977d1954a98031256c0e3f83c5b"
"ee234afddb80d4251b5f6f7493b3eb6156011e202fd4d8319445eb5bb3c0782e9e75077c"
"87f9f3a25a2d117793fc98441ce74255d7bd55bdb0f17710737ab4aaca99271600f03503"
"91ffbc9a5d5458414716e0c26b239096f6c6e4a680b0cccaebc4f200fa0500618d719493"
"becacf936525680233273679",
"e5e7d43632d844bd04fce45213257415a4c9c3f4bf9b6a1b74e8c31e3c66fbf3b42da531"
"aaa9cdaac160d565cd81430983c18120e98be41df6d178d0e974cc9ce6ced673423c7727"
"267ba1ba07b457a1557bffaf2c90957372c0f5f08c4940ccd858e0bc392e3050bb2adae8"
"0f509dc129a49279c01c55434b383d359b7b255f55c33be445a3dc05e0c1b3d7486a8142"
"675a3b6e7b3d3d27fbf54764d9f73ea98304612e5e1a4d566986efa53b62ad18f4ecad64"
"f197c7d48a2732745a1e5ec9",
"daa7795c70b8df8af978f9e66a19eed2a92b6f665aee3d58f3e450ac0f18772ed5cf8b2b"
"381eb55facd93b32106d0d703f2316b50069b6db38cd62b12a4b7fdd6f8f93c4f110091a"
"d972e5808afd6acf6bd6eaa0b846b50b7fe1786702a3382b8b637b8ea91ffe3225e9ad50"
"3f1f9593ea6f19d6dc2d556e5d6f3a26134df4a964e67d789e7849eaf698c976ef592052"
"6b023f2f96e96e2b89adf0ee4544e32029cfca972f824cb7af805c556a6143dcb93cb6b7"
"91ebb8dba30cbc94dff782f3",
"f48f534acee47a482ba43abc70aa8c7d4b6df27b957583fa2b23cbc1d34d9da7eb89fa3f"
"881b9db1dfa8925f38328574ca8ff7256ae0bf163ee61b471d29f5e72d98f92775693091"
"2bfbddb695a64137783232596d6c7892b89b4fb54abd5b077ccf532aaf5b9b29cf25b366"
"3845987a0a947b97000c05bfc7a239e1cb962cc43e1dceaf91935353d2d6dad7eda20798"
"9a2f0f8e367f3df5c1ee3b56209bd85832c35ff2cd7b9a67db801691c946b0a7a9a875e8"
"9e1f65198caf1ca6f3037ff9",
"ee5bc8c8d3ecd753b4c0e4e5934d8e44a9ab5d8dda127db28b32bfb357636d0c144dee78"
"8c2a901af3b02439a8a3d2125954feeac722a72272f5595a91cf4ee5ae8e69159986cc50"
"054c3a259c80ed84e7b793733eed05330b2a2ad11dee4140b5fe1f3706a0b1b28407e84c"
"27e19e3a3d9d640629c35deaa9061d33b5888a88e4220340f488f764219f9e8edb2b1d04"
"15253f5fd53835cdc6935898ecba173c5b2db3a6578fdc16e1221cac1e454864ada9f772"
"1ecd24bc77ed5cf353d5f909",
"f2f5ca816781cbae4fcea9587321497c252bfe84127f2d8ac7d6da7a34d1faa2f428911d"
"a876a42299d2cb4af35c944df51f1421b74fe11b047f871b37f1f37a0c6d0753c28a3e52"
"91a9cf54c5892408591bc932269626d1392f8c8c67d87300febbc63e4a779104ba6191f8"
"a5bbfbcf6c675a6ad8a853ac1e9a86dc16a95a9566b5287b7862f6a962bf79626a82961f"
"c378b4751da35e25d761469ad4e22072bd43951631a96026b37d7932ca8fabf22fb757b4"
"e903252c416f0f96ca0eb663",
"e01c620e4b80840816a99b5c1eed80c8bfdc040253889b2ce81e78de2f5511ea453d1492"
"56bb53b64f4f43441e464867cfd40571c2c5527f1c79eb4b8b1022018e362ae51f13b8b5"
"2426239c09369370575d873755e3bee630424e35a8024f76553f5635d26d791b5e4a8903"
"d09be560c322837c29283aee2feb6864b724007334f1af2008db7eaf773d9f4e1e8fc396"
"07969c43d7c1d106274fa24c3068d347244d5821e10153b5e1e84fef7c08c19e4f79b71e"
"ebd1205c057812a74f6e09ab",
// 2048-bit primes.
"ff9166fd6945a3f692e99001528d5f4db6a36990f755275c3b34bded64bdd9c8e0cd190b"
"3df421be41525d496478bb2c07400ea1abe2bda65aa95efaecfada8230df64405ace2594"
"3193755ecf24db8fe8cda7a399cebe66f6d760cd9815bdcc65a5ad53c5b97dad21deed9b"
"e24ba048f621a095b3ffc48d05de12e16fb53d1e81ba0ed20c601599ce3833c7f36bc481"
"ab84ba7f38e3baeb19ad27e45dfd74fd5d03073426200c4b5ebf3323b3e16a0534b8df9b"
"0359c8e56f2e8c3950803b28954f8b6f14cee76623481f3479638c4908ce88ee56a5940b"
"c9e79198fedf83e5f931740346916d745c6279f13f4ca59e1534dba4f3eaeee8d20ddf20"
"6459fac7",
"d17eaffaad2b87da90b280b3879908ef3ed395b0d7cf12daee62dd4a0bf73e536f912635"
"f109908c8ceb26f31950dbcce65e443e452ac0eddf35aef2ae03a15f57bbb5d7800c9d61"
"bae6d87f10927643bd5a2cd77bd5a70d84b0da28494e5cb7cd7ced9dd0a57177cade57d9"
"53c80efa99ff09588dc7f6cab76d18fc86ccfc74fe5acca9aba2b4c143977d7abdae2a67"
"7cb50810f6b60ccc0f77f75e9ea5733d8c7d6795f95350d91fafacd9d9ad00bafaadf558"
"d95237ff53f090c674c326f38f728dbc4a42f2978d91c19686f3793862375adb2bc8b241"
"ce9816e8e36ff105bb06e7a77ea0077371b28bbdf745dd0bf537e43a0bed8ddeff5eb29e"
"28931d17",
"df859ae517fac8682a715f666c70ad29421cb8a0186fe6016c5bd8a0fabf65ee2b018fcc"
"53c50a29daf82a2a9f7bceac45c13a2458af34998cf16eecec02fe3254758eff63b60e25"
"3e118fb1494d78de1d38b49ac0b528a04208d2b57d95a9edd7b7b02afeb2c47a628bef6b"
"4a6a0f7b91cb5b8d5900f8ad3f332360a07f3ac00907cadfe6cacc7e696e897ca541a2e7"
"12a5d419215712716b71e2a2a8b8c809bbf0cc3b24e55e7ec72cfdc5e8c9651f8a2f36a8"
"abd0ebd77ddf59b7f096b788f8081e22465e4a6082c3ad4bcdf27bf5f51f3326eb87ac9e"
"330fb6d68645299da63a1d977fb246e176afcfbc2474fca3ae40d75125f755f5a50c3080"
"e7816235",
"c6aea46d1fb7d2d1107e31399cc613a1db56174c96898e3e32688ce2a26c000486528f05"
"4cc0dc3e448016944528183a2a90ca54a1029aedc519fe6d7b599097b214aab0d16b35cb"
"b7948e2e301f4fe65fc35340a82eb25111150cd968e12ec063ac0901ec4bf5d490a39714"
"b128848ee3852dce7bfdd66a4751abe8f365d1e83fd7a86a192d02bc892c6cd9558bacdf"
"c55a61cb06be8d74c44c2d03245d9b5f003c7280e82f3f1204dc7abc3e5fa11f2168bc17"
"c73fb1dc8b84e632a26420b32118fc8aa6a98c037b662d676370d10bfb47955e9b4f4c64"
"062d32345677199b36abe1d6b1bb0badbb57ae4a65b643da7f122c1b38dad9df0318d3c9"
"d96a96bf",
"da64c031f133da1d014777b6f8c8d599f54b7e67dc3ac3883f0b78cfe27d1cb1849c72a3"
"37a6d6a0ee53633c8382a416e8851fe9c81141121d702fa8b12dc6ba62a3dbb87faec66c"
"6389e9e1df47015db6ff12ded83d2fc242e58e55cf7924b70e4cf463559705e382745006"
"1aa88b38d3795042ab0e8657ed1c77e91e39d5a29e86f9572a3ce91b8d0ca12ef6ee5f1f"
"f3930c5de357eaabe7497d7319461be00cbb1db36329baa6c298608aa7288a6926396abc"
"9a662dc2c413311ec821cb4564c247fcdd32d57cae8dd37882377f9139aea9a5a6ae1e01"
"1a356fc395682f64c08cb3130711bb759d16ed2eaf0da976876f156aa0965cb7292a5726"
"1ad31ab7",
"ce705e04e5abb0d0f3058bff82c457ef6308f2b4279026c906c0679f382d92c96ae0d11f"
"3004dfbdfd7950cc4f0aa1bcb7b06e4be6628b249e90339d8e1891e512c40f7b38ce9ad4"
"ad7c37791b833cf668b4807c2b4d4638cb10af745e349c70ae7bc8396611725c43899131"
"751729e98651b4250d680ddb1f208e971b8abaca2ba79a7665dd71fa532702f54930865c"
"52ca536f04218aeb626ff94bc4e0886ffbccba910f879e000f363b0864dfc883d2de2af5"
"70c2c4125c5b0e478f87f7b934b66af864fb63f4d13fa21db3e4cef03c395fe207764ae3"
"1b64bbc301cdeb795c580885605b11bcaa53d32a1fa72381e524ef269748ce77deb0cd37"
"ceb403ab",
"f4f7bb8ab2983afc83b6ac060dcc4d96331dbbf800b321bbde2d8f8a9fa750e7c2b42fc4"
"6baf9a167a7389812f65b52b283ad5dd95709e81f8f602031ee8a5f4929bee7b3da97b92"
"f53f61ff25de8170aeef9a6c464d4be77fa3e5aea041f51d49932d30480f33bb44fd3af5"
"e7bfad562acaaed5069b2dc003fdb207ee7db9061d02136cb4b59c2ba071ca6aa2747675"
"bf86d601a9197d92091b36299cad0d6adceca87b16ee54b48ee19a9e9df20955cdc1ca2c"
"fa07fd2b054377d6242fb1ae69209ac5ac2d98a2929dec9eb076e0c9d74083bab0797851"
"b6eca68e3de7440001706cebee6adc8b317b0ef8332863aad26ec18f8156998566f32207"
"3777e817",
"da20f268b7254f3ed0ad35372ad4c78c1fc89465fc1a256ee0064b3c11980917d4d0b6fe"
"c8546c5e4cea1e18ccd23f20dc096506062afeb57be9edd2443ec1cecd84108911c99ac0"
"2d388bc7c415aa41b7a4396c3ed823f3c0921163e85e2dec186862e945affa069dee3dea"
"3b382d7c5a9695aa76e2e25a516457d4eee12ef0c18bf09076c8f739189887492e4aecae"
"2999ec305c2e66d444d14251caa1b546deb3c07c6d9c0ed9d1a33f405e780661684be318"
"61db7030b2f0b5b6e6f1616ab017955a6025c89c6945329aa10567a5f26724dc074cae1a"
"623c64fcda5241674bb4c9954342b1bac8cb13a4b98e893ee42b4ccebf788c2267de2d70"
"8a5b93ed",
};
for (const char *str : kPrimesHex) {
SCOPED_TRACE(str);
EXPECT_NE(0, HexToBIGNUM(&p, str));
ASSERT_TRUE(BN_primality_test(
&is_probably_prime_1, p.get(), BN_prime_checks_for_generation, ctx(),
false /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(1, is_probably_prime_1);
ASSERT_TRUE(BN_primality_test(
&is_probably_prime_2, p.get(), BN_prime_checks_for_generation, ctx(),
true /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(1, is_probably_prime_2);
ASSERT_TRUE(BN_enhanced_miller_rabin_primality_test(
&result_3, p.get(), BN_prime_checks_for_generation, ctx(),
nullptr /* callback */));
EXPECT_EQ(bn_probably_prime, result_3);
}
// BN_primality_test works with null |BN_CTX|.
ASSERT_TRUE(BN_set_word(p.get(), 5));
ASSERT_TRUE(
BN_primality_test(&is_probably_prime_1, p.get(),
BN_prime_checks_for_generation, nullptr /* ctx */,
false /* do_trial_division */, nullptr /* callback */));
EXPECT_EQ(1, is_probably_prime_1);
}
TEST_F(BNTest, MillerRabinIteration) {
FileTestGTest(
"crypto/fipsmodule/bn/test/miller_rabin_tests.txt", [&](FileTest *t) {
BIGNUMFileTest bn_test(t, /*large_mask=*/0);
bssl::UniquePtr<BIGNUM> w = bn_test.GetBIGNUM("W");
ASSERT_TRUE(w);
bssl::UniquePtr<BIGNUM> b = bn_test.GetBIGNUM("B");
ASSERT_TRUE(b);
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_consttime(w.get(), ctx()));
ASSERT_TRUE(mont);
bssl::BN_CTXScope scope(ctx());
BN_MILLER_RABIN miller_rabin;
ASSERT_TRUE(bn_miller_rabin_init(&miller_rabin, mont.get(), ctx()));
int possibly_prime;
ASSERT_TRUE(bn_miller_rabin_iteration(&miller_rabin, &possibly_prime,
b.get(), mont.get(), ctx()));
std::string result;
ASSERT_TRUE(t->GetAttribute(&result, "Result"));
EXPECT_EQ(result, possibly_prime ? "PossiblyPrime" : "Composite");
});
}
// These tests are very slow, so we disable them by default to avoid timing out
// downstream consumers. They are enabled when running tests standalone via
// all_tests.go.
TEST_F(BNTest, DISABLED_WycheproofPrimality) {
FileTestGTest(
"third_party/wycheproof_testvectors/primality_test.txt",
[&](FileTest *t) {
WycheproofResult result;
ASSERT_TRUE(GetWycheproofResult(t, &result));
bssl::UniquePtr<BIGNUM> value = GetWycheproofBIGNUM(t, "value", false);
ASSERT_TRUE(value);
for (int checks :
{BN_prime_checks_for_validation, BN_prime_checks_for_generation}) {
SCOPED_TRACE(checks);
if (checks == BN_prime_checks_for_generation &&
std::find(result.flags.begin(), result.flags.end(),
"WorstCaseMillerRabin") != result.flags.end()) {
// Skip the worst case Miller-Rabin cases.
// |BN_prime_checks_for_generation| relies on such values being rare
// when generating primes.
continue;
}
int is_probably_prime;
ASSERT_TRUE(BN_primality_test(&is_probably_prime, value.get(), checks,
ctx(),
/*do_trial_division=*/false, nullptr));
EXPECT_EQ(result.IsValid() ? 1 : 0, is_probably_prime);
ASSERT_TRUE(BN_primality_test(&is_probably_prime, value.get(), checks,
ctx(),
/*do_trial_division=*/true, nullptr));
EXPECT_EQ(result.IsValid() ? 1 : 0, is_probably_prime);
}
});
}
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
TEST_F(BNTest, NonMinimal) {
bssl::UniquePtr<BIGNUM> ten(BN_new());
ASSERT_TRUE(ten);
ASSERT_TRUE(BN_set_word(ten.get(), 10));
bssl::UniquePtr<BIGNUM> ten_copy(BN_dup(ten.get()));
ASSERT_TRUE(ten_copy);
bssl::UniquePtr<BIGNUM> eight(BN_new());
ASSERT_TRUE(eight);
ASSERT_TRUE(BN_set_word(eight.get(), 8));
bssl::UniquePtr<BIGNUM> forty_two(BN_new());
ASSERT_TRUE(forty_two);
ASSERT_TRUE(BN_set_word(forty_two.get(), 42));
bssl::UniquePtr<BIGNUM> two_exp_256(BN_new());
ASSERT_TRUE(two_exp_256);
ASSERT_TRUE(BN_lshift(two_exp_256.get(), BN_value_one(), 256));
bssl::UniquePtr<BIGNUM> zero(BN_new());
ASSERT_TRUE(zero);
BN_zero(zero.get());
for (size_t width = 1; width < 10; width++) {
SCOPED_TRACE(width);
// Make |ten| and |zero| wider.
EXPECT_TRUE(bn_resize_words(ten.get(), width));
EXPECT_EQ(static_cast<int>(width), ten->width);
EXPECT_TRUE(bn_resize_words(zero.get(), width));
EXPECT_EQ(static_cast<int>(width), zero->width);
EXPECT_TRUE(BN_abs_is_word(ten.get(), 10));
EXPECT_TRUE(BN_is_word(ten.get(), 10));
EXPECT_EQ(10u, BN_get_word(ten.get()));
uint64_t v;
ASSERT_TRUE(BN_get_u64(ten.get(), &v));
EXPECT_EQ(10u, v);
EXPECT_TRUE(BN_equal_consttime(ten.get(), ten_copy.get()));
EXPECT_TRUE(BN_equal_consttime(ten_copy.get(), ten.get()));
EXPECT_EQ(BN_cmp(ten.get(), ten_copy.get()), 0);
EXPECT_EQ(BN_cmp(ten_copy.get(), ten.get()), 0);
EXPECT_FALSE(BN_equal_consttime(ten.get(), eight.get()));
EXPECT_LT(BN_cmp(eight.get(), ten.get()), 0);
EXPECT_GT(BN_cmp(ten.get(), eight.get()), 0);
EXPECT_FALSE(BN_equal_consttime(ten.get(), forty_two.get()));
EXPECT_GT(BN_cmp(forty_two.get(), ten.get()), 0);
EXPECT_LT(BN_cmp(ten.get(), forty_two.get()), 0);
EXPECT_FALSE(BN_equal_consttime(ten.get(), two_exp_256.get()));
EXPECT_GT(BN_cmp(two_exp_256.get(), ten.get()), 0);
EXPECT_LT(BN_cmp(ten.get(), two_exp_256.get()), 0);
EXPECT_EQ(4u, BN_num_bits(ten.get()));
EXPECT_EQ(1u, BN_num_bytes(ten.get()));
EXPECT_FALSE(BN_is_pow2(ten.get()));
bssl::UniquePtr<char> hex(BN_bn2hex(ten.get()));
EXPECT_STREQ("0a", hex.get());
hex.reset(BN_bn2hex(zero.get()));
EXPECT_STREQ("0", hex.get());
bssl::UniquePtr<BIO> bio(BIO_new(BIO_s_mem()));
ASSERT_TRUE(bio);
ASSERT_TRUE(BN_print(bio.get(), ten.get()));
const uint8_t *ptr;
size_t len;
ASSERT_TRUE(BIO_mem_contents(bio.get(), &ptr, &len));
// TODO(davidben): |BN_print| removes leading zeros within a byte, while
// |BN_bn2hex| rounds up to a byte, except for zero which it prints as
// "0". Fix this discrepancy?
EXPECT_EQ(Bytes("a"), Bytes(ptr, len));
bio.reset(BIO_new(BIO_s_mem()));
ASSERT_TRUE(bio);
ASSERT_TRUE(BN_print(bio.get(), zero.get()));
ASSERT_TRUE(BIO_mem_contents(bio.get(), &ptr, &len));
EXPECT_EQ(Bytes("0"), Bytes(ptr, len));
}
// |ten| may be resized back down to one word.
EXPECT_TRUE(bn_resize_words(ten.get(), 1));
EXPECT_EQ(1, ten->width);
// But not to zero words, which it does not fit.
EXPECT_FALSE(bn_resize_words(ten.get(), 0));
EXPECT_TRUE(BN_is_pow2(eight.get()));
EXPECT_TRUE(bn_resize_words(eight.get(), 4));
EXPECT_EQ(4, eight->width);
EXPECT_TRUE(BN_is_pow2(eight.get()));
// |BN_MONT_CTX| is always stored minimally and uses the same R independent of
// input width. Additionally, mont->RR is always the same width as mont->N,
// even if it fits in a smaller value.
static const uint8_t kP[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01,
};
bssl::UniquePtr<BIGNUM> p(BN_bin2bn(kP, sizeof(kP), nullptr));
ASSERT_TRUE(p);
// Test both the constant-time and variable-time functions at both minimal and
// non-minimal |p|.
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(p.get(), ctx()));
ASSERT_TRUE(mont);
bssl::UniquePtr<BN_MONT_CTX> mont2(
BN_MONT_CTX_new_consttime(p.get(), ctx()));
ASSERT_TRUE(mont2);
ASSERT_TRUE(bn_resize_words(p.get(), 32));
bssl::UniquePtr<BN_MONT_CTX> mont3(
BN_MONT_CTX_new_for_modulus(p.get(), ctx()));
ASSERT_TRUE(mont3);
bssl::UniquePtr<BN_MONT_CTX> mont4(
BN_MONT_CTX_new_consttime(p.get(), ctx()));
ASSERT_TRUE(mont4);
EXPECT_EQ(mont->N.width, mont2->N.width);
EXPECT_EQ(mont->N.width, mont3->N.width);
EXPECT_EQ(mont->N.width, mont4->N.width);
EXPECT_EQ(0, BN_cmp(&mont->RR, &mont2->RR));
EXPECT_EQ(0, BN_cmp(&mont->RR, &mont3->RR));
EXPECT_EQ(0, BN_cmp(&mont->RR, &mont4->RR));
EXPECT_EQ(mont->N.width, mont->RR.width);
EXPECT_EQ(mont->N.width, mont2->RR.width);
EXPECT_EQ(mont->N.width, mont3->RR.width);
EXPECT_EQ(mont->N.width, mont4->RR.width);
}
TEST_F(BNTest, CountLowZeroBits) {
bssl::UniquePtr<BIGNUM> bn(BN_new());
ASSERT_TRUE(bn);
for (int i = 0; i < BN_BITS2; i++) {
SCOPED_TRACE(i);
for (int set_high_bits = 0; set_high_bits < 2; set_high_bits++) {
BN_ULONG word = ((BN_ULONG)1) << i;
if (set_high_bits) {
BN_ULONG junk;
RAND_bytes(reinterpret_cast<uint8_t *>(&junk), sizeof(junk));
word |= junk & ~(word - 1);
}
SCOPED_TRACE(word);
ASSERT_TRUE(BN_set_word(bn.get(), word));
EXPECT_EQ(i, BN_count_low_zero_bits(bn.get()));
ASSERT_TRUE(bn_resize_words(bn.get(), 16));
EXPECT_EQ(i, BN_count_low_zero_bits(bn.get()));
ASSERT_TRUE(BN_set_word(bn.get(), word));
ASSERT_TRUE(BN_lshift(bn.get(), bn.get(), BN_BITS2 * 5));
EXPECT_EQ(i + BN_BITS2 * 5, BN_count_low_zero_bits(bn.get()));
ASSERT_TRUE(bn_resize_words(bn.get(), 16));
EXPECT_EQ(i + BN_BITS2 * 5, BN_count_low_zero_bits(bn.get()));
ASSERT_TRUE(BN_set_word(bn.get(), word));
ASSERT_TRUE(BN_set_bit(bn.get(), BN_BITS2 * 5));
EXPECT_EQ(i, BN_count_low_zero_bits(bn.get()));
ASSERT_TRUE(bn_resize_words(bn.get(), 16));
EXPECT_EQ(i, BN_count_low_zero_bits(bn.get()));
}
}
BN_zero(bn.get());
EXPECT_EQ(0, BN_count_low_zero_bits(bn.get()));
ASSERT_TRUE(bn_resize_words(bn.get(), 16));
EXPECT_EQ(0, BN_count_low_zero_bits(bn.get()));
}
TEST_F(BNTest, WriteIntoNegative) {
bssl::UniquePtr<BIGNUM> r(BN_new());
ASSERT_TRUE(r);
bssl::UniquePtr<BIGNUM> two(BN_new());
ASSERT_TRUE(two);
ASSERT_TRUE(BN_set_word(two.get(), 2));
bssl::UniquePtr<BIGNUM> three(BN_new());
ASSERT_TRUE(three);
ASSERT_TRUE(BN_set_word(three.get(), 3));
bssl::UniquePtr<BIGNUM> seven(BN_new());
ASSERT_TRUE(seven);
ASSERT_TRUE(BN_set_word(seven.get(), 7));
ASSERT_TRUE(BN_set_word(r.get(), 1));
BN_set_negative(r.get(), 1);
ASSERT_TRUE(BN_mod_add_quick(r.get(), two.get(), three.get(), seven.get()));
EXPECT_TRUE(BN_is_word(r.get(), 5));
EXPECT_FALSE(BN_is_negative(r.get()));
BN_set_negative(r.get(), 1);
ASSERT_TRUE(BN_mod_sub_quick(r.get(), two.get(), three.get(), seven.get()));
EXPECT_TRUE(BN_is_word(r.get(), 6));
EXPECT_FALSE(BN_is_negative(r.get()));
}
TEST_F(BNTest, ModSqrtInvalid) {
bssl::UniquePtr<BIGNUM> bn2140141 = ASCIIToBIGNUM("2140141");
ASSERT_TRUE(bn2140141);
bssl::UniquePtr<BIGNUM> bn2140142 = ASCIIToBIGNUM("2140142");
ASSERT_TRUE(bn2140142);
bssl::UniquePtr<BIGNUM> bn4588033 = ASCIIToBIGNUM("4588033");
ASSERT_TRUE(bn4588033);
// |BN_mod_sqrt| may fail or return an arbitrary value, so we do not use
// |TestModSqrt| or |TestNotModSquare|. We only promise it will not crash or
// infinite loop. (For some invalid inputs, it may even be non-deterministic.)
// See CVE-2022-0778.
BN_free(BN_mod_sqrt(nullptr, bn2140141.get(), bn4588033.get(), ctx()));
BN_free(BN_mod_sqrt(nullptr, bn2140142.get(), bn4588033.get(), ctx()));
}
// Test that constructing Montgomery contexts for large bignums is not possible.
// Our Montgomery reduction implementation stack-allocates temporaries, so we
// cap how large of moduli we accept.
TEST_F(BNTest, MontgomeryLarge) {
std::vector<uint8_t> large_bignum_bytes(16 * 1024, 0xff);
bssl::UniquePtr<BIGNUM> large_bignum(
BN_bin2bn(large_bignum_bytes.data(), large_bignum_bytes.size(), nullptr));
ASSERT_TRUE(large_bignum);
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(large_bignum.get(), ctx()));
EXPECT_FALSE(mont);
// The same limit should apply when |BN_mod_exp_mont_consttime| internally
// constructs a |BN_MONT_CTX|.
bssl::UniquePtr<BIGNUM> r(BN_new());
ASSERT_TRUE(r);
EXPECT_FALSE(BN_mod_exp_mont_consttime(r.get(), BN_value_one(),
large_bignum.get(), large_bignum.get(),
ctx(), nullptr));
}
TEST_F(BNTest, FormatWord) {
char buf[32];
snprintf(buf, sizeof(buf), BN_DEC_FMT1, BN_ULONG{1234});
EXPECT_STREQ(buf, "1234");
snprintf(buf, sizeof(buf), BN_HEX_FMT1, BN_ULONG{1234});
EXPECT_STREQ(buf, "4d2");
// |BN_HEX_FMT2| is zero-padded up to the maximum value.
#if defined(OPENSSL_64_BIT)
snprintf(buf, sizeof(buf), BN_HEX_FMT2, BN_ULONG{1234});
EXPECT_STREQ(buf, "00000000000004d2");
snprintf(buf, sizeof(buf), BN_HEX_FMT2, std::numeric_limits<BN_ULONG>::max());
EXPECT_STREQ(buf, "ffffffffffffffff");
#else
snprintf(buf, sizeof(buf), BN_HEX_FMT2, BN_ULONG{1234});
EXPECT_STREQ(buf, "000004d2");
snprintf(buf, sizeof(buf), BN_HEX_FMT2, std::numeric_limits<BN_ULONG>::max());
EXPECT_STREQ(buf, "ffffffff");
#endif
}
#if defined(SUPPORTS_ABI_TEST)
// These functions are not always implemented in assembly, but they sometimes
// are, so include ABI tests for each.
TEST_F(BNTest, ArithmeticABI) {
EXPECT_EQ(0u, CHECK_ABI(bn_add_words, nullptr, nullptr, nullptr, 0));
EXPECT_EQ(0u, CHECK_ABI(bn_sub_words, nullptr, nullptr, nullptr, 0));
for (size_t num :
{1, 2, 3, 4, 5, 6, 7, 8, 9, 15, 16, 17, 31, 32, 33, 63, 64, 65}) {
SCOPED_TRACE(num);
std::vector<BN_ULONG> a(num, 123456789);
std::vector<BN_ULONG> b(num, static_cast<BN_ULONG>(-1));
std::vector<BN_ULONG> r(num);
CHECK_ABI(bn_add_words, r.data(), a.data(), b.data(), num);
CHECK_ABI(bn_sub_words, r.data(), a.data(), b.data(), num);
CHECK_ABI(bn_mul_words, r.data(), a.data(), num, 42);
CHECK_ABI(bn_mul_add_words, r.data(), a.data(), num, 42);
r.resize(2 * num);
CHECK_ABI(bn_sqr_words, r.data(), a.data(), num);
if (num == 4) {
CHECK_ABI(bn_mul_comba4, r.data(), a.data(), b.data());
CHECK_ABI(bn_sqr_comba4, r.data(), a.data());
}
if (num == 8) {
CHECK_ABI(bn_mul_comba8, r.data(), a.data(), b.data());
CHECK_ABI(bn_sqr_comba8, r.data(), a.data());
}
}
}
#endif
#if defined(OPENSSL_BN_ASM_MONT) && defined(SUPPORTS_ABI_TEST)
TEST_F(BNTest, BNMulMontABI) {
for (size_t words : {4, 5, 6, 7, 8, 16, 32}) {
SCOPED_TRACE(words);
bssl::UniquePtr<BIGNUM> m(BN_new());
ASSERT_TRUE(m);
ASSERT_TRUE(BN_set_bit(m.get(), 0));
ASSERT_TRUE(BN_set_bit(m.get(), words * BN_BITS2 - 1));
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(m.get(), ctx()));
ASSERT_TRUE(mont);
std::vector<BN_ULONG> r(words), a(words), b(words);
a[0] = 1;
b[0] = 42;
#if defined(OPENSSL_X86_64)
if (bn_mulx4x_mont_capable(words)) {
CHECK_ABI(bn_mulx4x_mont, r.data(), a.data(), b.data(), mont->N.d,
mont->n0, words);
CHECK_ABI(bn_mulx4x_mont, r.data(), a.data(), a.data(), mont->N.d,
mont->n0, words);
}
if (bn_mul4x_mont_capable(words)) {
CHECK_ABI(bn_mul4x_mont, r.data(), a.data(), b.data(), mont->N.d,
mont->n0, words);
CHECK_ABI(bn_mul4x_mont, r.data(), a.data(), a.data(), mont->N.d,
mont->n0, words);
}
CHECK_ABI(bn_mul_mont_nohw, r.data(), a.data(), b.data(), mont->N.d,
mont->n0, words);
CHECK_ABI(bn_mul_mont_nohw, r.data(), a.data(), a.data(), mont->N.d,
mont->n0, words);
if (bn_sqr8x_mont_capable(words)) {
CHECK_ABI(bn_sqr8x_mont, r.data(), a.data(), bn_mulx_adx_capable(),
mont->N.d, mont->n0, words);
}
#elif defined(OPENSSL_ARM)
if (bn_mul8x_mont_neon_capable(words)) {
CHECK_ABI(bn_mul8x_mont_neon, r.data(), a.data(), b.data(), mont->N.d,
mont->n0, words);
CHECK_ABI(bn_mul8x_mont_neon, r.data(), a.data(), a.data(), mont->N.d,
mont->n0, words);
}
CHECK_ABI(bn_mul_mont_nohw, r.data(), a.data(), b.data(), mont->N.d,
mont->n0, words);
CHECK_ABI(bn_mul_mont_nohw, r.data(), a.data(), a.data(), mont->N.d,
mont->n0, words);
#else
CHECK_ABI(bn_mul_mont, r.data(), a.data(), b.data(), mont->N.d, mont->n0,
words);
CHECK_ABI(bn_mul_mont, r.data(), a.data(), a.data(), mont->N.d, mont->n0,
words);
#endif
}
}
#endif // OPENSSL_BN_ASM_MONT && SUPPORTS_ABI_TEST
#if defined(OPENSSL_BN_ASM_MONT5) && defined(SUPPORTS_ABI_TEST)
TEST_F(BNTest, BNMulMont5ABI) {
for (size_t words : {4, 5, 6, 7, 8, 16, 32}) {
SCOPED_TRACE(words);
bssl::UniquePtr<BIGNUM> m(BN_new());
ASSERT_TRUE(m);
ASSERT_TRUE(BN_set_bit(m.get(), 0));
ASSERT_TRUE(BN_set_bit(m.get(), words * BN_BITS2 - 1));
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(m.get(), ctx()));
ASSERT_TRUE(mont);
std::vector<BN_ULONG> r(words), a(words), b(words), table(words * 32);
a[0] = 1;
b[0] = 42;
bn_mul_mont(r.data(), a.data(), b.data(), mont->N.d, mont->n0, words);
CHECK_ABI(bn_scatter5, r.data(), words, table.data(), 13);
for (size_t i = 0; i < 32; i++) {
bn_mul_mont(r.data(), a.data(), b.data(), mont->N.d, mont->n0, words);
bn_scatter5(r.data(), words, table.data(), i);
}
CHECK_ABI(bn_gather5, r.data(), words, table.data(), 13);
if (bn_mulx4x_mont_gather5_capable(words)) {
CHECK_ABI(bn_mulx4x_mont_gather5, r.data(), r.data(), table.data(), m->d,
mont->n0, words, 13);
CHECK_ABI(bn_mulx4x_mont_gather5, r.data(), a.data(), table.data(), m->d,
mont->n0, words, 13);
}
if (bn_mul4x_mont_gather5_capable(words)) {
CHECK_ABI(bn_mul4x_mont_gather5, r.data(), r.data(), table.data(), m->d,
mont->n0, words, 13);
CHECK_ABI(bn_mul4x_mont_gather5, r.data(), a.data(), table.data(), m->d,
mont->n0, words, 13);
}
CHECK_ABI(bn_mul_mont_gather5_nohw, r.data(), r.data(), table.data(), m->d,
mont->n0, words, 13);
CHECK_ABI(bn_mul_mont_gather5_nohw, r.data(), a.data(), table.data(), m->d,
mont->n0, words, 13);
if (bn_powerx5_capable(words)) {
CHECK_ABI(bn_powerx5, r.data(), r.data(), table.data(), m->d, mont->n0,
words, 13);
CHECK_ABI(bn_powerx5, r.data(), a.data(), table.data(), m->d, mont->n0,
words, 13);
}
if (bn_power5_capable(words)) {
CHECK_ABI(bn_power5_nohw, r.data(), r.data(), table.data(), m->d,
mont->n0, words, 13);
CHECK_ABI(bn_power5_nohw, r.data(), a.data(), table.data(), m->d,
mont->n0, words, 13);
}
}
}
#endif // OPENSSL_BN_ASM_MONT5 && SUPPORTS_ABI_TEST
#if defined(RSAZ_ENABLED) && defined(SUPPORTS_ABI_TEST)
TEST_F(BNTest, RSAZABI) {
if (!rsaz_avx2_capable()) {
return;
}
alignas(64) BN_ULONG table[32 * 18] = {0};
alignas(64) BN_ULONG rsaz1[40], rsaz2[40], rsaz3[40], n_rsaz[40];
BN_ULONG norm[16], n_norm[16];
OPENSSL_memset(norm, 0x42, sizeof(norm));
OPENSSL_memset(n_norm, 0x99, sizeof(n_norm));
bssl::UniquePtr<BIGNUM> n(BN_new());
ASSERT_TRUE(n);
ASSERT_TRUE(bn_set_words(n.get(), n_norm, 16));
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(n.get(), nullptr));
ASSERT_TRUE(mont);
const BN_ULONG k = mont->n0[0];
CHECK_ABI(rsaz_1024_norm2red_avx2, rsaz1, norm);
CHECK_ABI(rsaz_1024_norm2red_avx2, n_rsaz, n_norm);
CHECK_ABI(rsaz_1024_sqr_avx2, rsaz2, rsaz1, n_rsaz, k, 1);
CHECK_ABI(rsaz_1024_sqr_avx2, rsaz3, rsaz2, n_rsaz, k, 4);
CHECK_ABI(rsaz_1024_mul_avx2, rsaz3, rsaz1, rsaz2, n_rsaz, k);
CHECK_ABI(rsaz_1024_scatter5_avx2, table, rsaz3, 7);
CHECK_ABI(rsaz_1024_gather5_avx2, rsaz1, table, 7);
CHECK_ABI(rsaz_1024_red2norm_avx2, norm, rsaz1);
}
#endif // RSAZ_ENABLED && SUPPORTS_ABI_TEST