/* * Copyright (c) 2020, Itamar S. * * SPDX-License-Identifier: BSD-2-Clause */ #pragma once #include #include #include #include #include namespace Crypto { struct UnsignedDivisionResult; constexpr size_t STARTING_WORD_SIZE = 32; class UnsignedBigInteger { public: using Word = u32; static constexpr size_t BITS_IN_WORD = 32; UnsignedBigInteger(Word x) { m_words.append(x); } explicit UnsignedBigInteger(Vector&& words) : m_words(move(words)) { } explicit UnsignedBigInteger(const u8* ptr, size_t length); UnsignedBigInteger() { } static UnsignedBigInteger create_invalid(); static UnsignedBigInteger import_data(const 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); } static UnsignedBigInteger create_from(u64 value) { VERIFY(sizeof(Word) == 4); UnsignedBigInteger integer; integer.m_words.resize(2); integer.m_words[0] = static_cast(value & 0xFFFFFFFF); integer.m_words[1] = static_cast((value >> 32) & 0xFFFFFFFF); return integer; } size_t export_data(Bytes, bool remove_leading_zeros = false) const; static UnsignedBigInteger from_base(u16 N, const String& str); String to_base(u16 N) const; u64 to_u64() const; const Vector& words() const { return m_words; } void set_to_0(); void set_to(Word other); void set_to(const UnsignedBigInteger& other); void invalidate() { m_is_invalid = true; m_cached_trimmed_length = {}; m_cached_hash = 0; } bool is_odd() const { return m_words.size() && (m_words[0] & 1); } 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; void clamp_to_trimmed_length(); void resize_with_leading_zeros(size_t num_words); 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; u32 hash() const; void set_bit_inplace(size_t bit_index); bool operator==(const UnsignedBigInteger& other) const; bool operator!=(const UnsignedBigInteger& other) const; bool operator<(const UnsignedBigInteger& other) const; private: friend class UnsignedBigIntegerAlgorithms; // Little endian // m_word[0] + m_word[1] * Word::MAX + m_word[2] * Word::MAX * Word::MAX + ... Vector m_words; mutable u32 m_cached_hash { 0 }; // 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; }; } template<> struct AK::Formatter : Formatter { void format(FormatBuilder&, const Crypto::UnsignedBigInteger&); }; inline Crypto::UnsignedBigInteger operator""_bigint(const char* string, size_t length) { return Crypto::UnsignedBigInteger::from_base(10, { string, length }); }