1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
|
/*
* Copyright (c) 2020, Itamar S. <itamar8910@gmail.com>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#pragma once
#include <AK/ByteBuffer.h>
#include <AK/Span.h>
#include <AK/String.h>
#include <AK/Types.h>
#include <AK/Vector.h>
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<Word, STARTING_WORD_SIZE>&& 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<Word>(value & 0xFFFFFFFF);
integer.m_words[1] = static_cast<Word>((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<Word, STARTING_WORD_SIZE>& 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;
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<Word, STARTING_WORD_SIZE> 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<size_t> m_cached_trimmed_length;
};
struct UnsignedDivisionResult {
Crypto::UnsignedBigInteger quotient;
Crypto::UnsignedBigInteger remainder;
};
}
template<>
struct AK::Formatter<Crypto::UnsignedBigInteger> : Formatter<StringView> {
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 });
}
|