/* * Copyright (c) 2020, Itamar S. * All rights reserved. * * 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 above 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. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 COPYRIGHT HOLDER 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. */ #pragma once #include #include #include #include #include #include namespace Crypto { struct UnsignedDivisionResult; constexpr size_t STARTING_WORD_SIZE = 512; class UnsignedBigInteger { public: UnsignedBigInteger(u32 x) { m_words.append(x); } explicit UnsignedBigInteger(AK::Vector&& words) : m_words(move(words)) { } explicit UnsignedBigInteger(const u8* ptr, size_t length); UnsignedBigInteger() { } static UnsignedBigInteger create_invalid(); static UnsignedBigInteger import_data(const AK::StringView& data) { return import_data((const u8*)data.characters_without_null_termination(), data.length()); } static UnsignedBigInteger import_data(const u8* ptr, size_t length) { return UnsignedBigInteger(ptr, length); } size_t export_data(Bytes, bool remove_leading_zeros = false) const; static UnsignedBigInteger from_base10(const String& str); String to_base10() const; const AK::Vector& words() const { return m_words; } void set_to_0(); void set_to(u32 other); void set_to(const UnsignedBigInteger& other); void invalidate() { m_is_invalid = true; m_cached_trimmed_length = {}; } bool is_invalid() const { return m_is_invalid; } size_t length() const { return m_words.size(); } // The "trimmed length" is the number of words after trimming leading zeroed words size_t trimmed_length() const; UnsignedBigInteger plus(const UnsignedBigInteger& other) const; UnsignedBigInteger minus(const UnsignedBigInteger& other) const; UnsignedBigInteger bitwise_or(const UnsignedBigInteger& other) const; UnsignedBigInteger bitwise_and(const UnsignedBigInteger& other) const; UnsignedBigInteger bitwise_xor(const UnsignedBigInteger& other) const; UnsignedBigInteger bitwise_not() const; UnsignedBigInteger shift_left(size_t num_bits) const; UnsignedBigInteger multiplied_by(const UnsignedBigInteger& other) const; UnsignedDivisionResult divided_by(const UnsignedBigInteger& divisor) const; void set_bit_inplace(size_t bit_index); static void add_without_allocation(const UnsignedBigInteger& left, const UnsignedBigInteger& right, UnsignedBigInteger& output); static void subtract_without_allocation(const UnsignedBigInteger& left, const UnsignedBigInteger& right, UnsignedBigInteger& output); static void bitwise_or_without_allocation(const UnsignedBigInteger& left, const UnsignedBigInteger& right, UnsignedBigInteger& output); static void bitwise_and_without_allocation(const UnsignedBigInteger& left, const UnsignedBigInteger& right, UnsignedBigInteger& output); static void bitwise_xor_without_allocation(const UnsignedBigInteger& left, const UnsignedBigInteger& right, UnsignedBigInteger& output); static void bitwise_not_without_allocation(const UnsignedBigInteger& left, UnsignedBigInteger& output); static void shift_left_without_allocation(const UnsignedBigInteger& number, size_t bits_to_shift_by, UnsignedBigInteger& temp_result, UnsignedBigInteger& temp_plus, UnsignedBigInteger& output); static void multiply_without_allocation(const UnsignedBigInteger& left, const UnsignedBigInteger& right, UnsignedBigInteger& temp_shift_result, UnsignedBigInteger& temp_shift_plus, UnsignedBigInteger& temp_shift, UnsignedBigInteger& temp_plus, UnsignedBigInteger& output); static void divide_without_allocation(const UnsignedBigInteger& numerator, const UnsignedBigInteger& denominator, UnsignedBigInteger& temp_shift_result, UnsignedBigInteger& temp_shift_plus, UnsignedBigInteger& temp_shift, UnsignedBigInteger& temp_minus, UnsignedBigInteger& quotient, UnsignedBigInteger& remainder); static void divide_u16_without_allocation(const UnsignedBigInteger& numerator, u32 denominator, UnsignedBigInteger& quotient, UnsignedBigInteger& remainder); bool operator==(const UnsignedBigInteger& other) const; bool operator!=(const UnsignedBigInteger& other) const; bool operator<(const UnsignedBigInteger& other) const; private: ALWAYS_INLINE static void shift_left_by_n_words(const UnsignedBigInteger& number, size_t number_of_words, UnsignedBigInteger& output); ALWAYS_INLINE static u32 shift_left_get_one_word(const UnsignedBigInteger& number, size_t num_bits, size_t result_word_index); static constexpr size_t BITS_IN_WORD = 32; // Little endian // m_word[0] + m_word[1] * 256 + m_word[2] * 65536 + ... AK::Vector m_words; // Used to indicate a negative result, or a result of an invalid operation bool m_is_invalid { false }; mutable Optional m_cached_trimmed_length; }; struct UnsignedDivisionResult { Crypto::UnsignedBigInteger quotient; Crypto::UnsignedBigInteger remainder; }; } inline const LogStream& operator<<(const LogStream& stream, const Crypto::UnsignedBigInteger& value) { if (value.is_invalid()) { stream << "Invalid BigInt"; return stream; } for (int i = value.length() - 1; i >= 0; --i) { stream << value.words()[i] << "|"; } return stream; } inline Crypto::UnsignedBigInteger operator""_bigint(const char* string, size_t length) { return Crypto::UnsignedBigInteger::from_base10({ string, length }); }