72 lines
2.8 KiB
C++
72 lines
2.8 KiB
C++
/*
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* Copyright (c) 2020, Ali Mohammad Pur <ali.mpfard@gmail.com>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* 1. Redistributions of source code must retain the above copyright notice, this
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* list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#pragma once
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#include <AK/Random.h>
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#include <LibCrypto/BigInt/UnsignedBigInteger.h>
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//#define NT_DEBUG
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namespace Crypto {
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namespace NumberTheory {
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UnsignedBigInteger ModularInverse(const UnsignedBigInteger& a_, const UnsignedBigInteger& b);
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UnsignedBigInteger ModularPower(const UnsignedBigInteger& b, const UnsignedBigInteger& e, const UnsignedBigInteger& m);
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// Note: This function _will_ generate extremely huge numbers, and in doing so,
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// it will allocate and free a lot of memory!
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// Please use |ModularPower| if your use-case is modexp.
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template<typename IntegerType>
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static IntegerType Power(const IntegerType& b, const IntegerType& e)
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{
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IntegerType ep { e };
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IntegerType base { b };
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IntegerType exp { 1 };
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while (!(ep < IntegerType { 1 })) {
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if (ep.words()[0] % 2 == 1)
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exp.set_to(exp.multiplied_by(base));
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// ep = ep / 2;
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ep.set_to(ep.divided_by(IntegerType { 2 }).quotient);
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// base = base * base
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base.set_to(base.multiplied_by(base));
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}
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return exp;
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}
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UnsignedBigInteger GCD(const UnsignedBigInteger& a, const UnsignedBigInteger& b);
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UnsignedBigInteger LCM(const UnsignedBigInteger& a, const UnsignedBigInteger& b);
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UnsignedBigInteger random_number(const UnsignedBigInteger& min, const UnsignedBigInteger& max_excluded);
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bool is_probably_prime(const UnsignedBigInteger& p);
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UnsignedBigInteger random_big_prime(size_t bits);
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}
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}
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