ladybird/Libraries/LibCrypto/BigInt/Algorithms/ModularInverse.cpp
devgianlu f49a55d089 LibCrypto: Update ModularInverse implementation to use extended GCD
The previous implementation of `ModularInverse` was flaky and did not
compute the correct value in many occasions, especially with big numbers
like in RSA.

Also added a bunch of tests with big numbers.
2024-12-15 23:31:49 +01:00

36 lines
1.2 KiB
C++

/*
* Copyright (c) 2020, Ali Mohammad Pur <mpfard@serenityos.org>
* Copyright (c) 2020-2021, Dex♪ <dexes.ttp@gmail.com>
* Copyright (c) 2024, Altomani Gianluca <altomanigianluca@gmail.com>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#include "UnsignedBigIntegerAlgorithms.h"
namespace Crypto {
void UnsignedBigIntegerAlgorithms::modular_inverse_without_allocation(
UnsignedBigInteger const& a,
UnsignedBigInteger const& b,
UnsignedBigInteger& result,
UnsignedBigInteger& temp_y,
UnsignedBigInteger& temp_gcd,
UnsignedBigInteger& temp_quotient,
UnsignedBigInteger& temp_1,
UnsignedBigInteger& temp_2,
UnsignedBigInteger& temp_shift_result,
UnsignedBigInteger& temp_shift_plus,
UnsignedBigInteger& temp_shift,
UnsignedBigInteger& temp_r,
UnsignedBigInteger& temp_s,
UnsignedBigInteger& temp_t)
{
extended_GCD_without_allocation(a, b, result, temp_y, temp_gcd, temp_quotient, temp_1, temp_2, temp_shift_result, temp_shift_plus, temp_shift, temp_r, temp_s, temp_t);
divide_without_allocation(result, b, temp_quotient, temp_1);
add_into_accumulator_without_allocation(temp_1, b);
divide_without_allocation(temp_1, b, temp_quotient, result);
}
}