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28 #ifndef DOUBLE_CONVERSION_BIGNUM_H_
29 #define DOUBLE_CONVERSION_BIGNUM_H_
31 #include "utils.h"
33 namespace WTF {
35 namespace double_conversion {
37 class Bignum {
38 public:
39 // 3584 = 128 * 28. We can represent 2^3584 > 10^1000 accurately.
40 // This bignum can encode much bigger numbers, since it contains an
41 // exponent.
42 static const int kMaxSignificantBits = 3584;
44 Bignum();
45 void AssignUInt16(uint16_t value);
46 void AssignUInt64(uint64_t value);
47 void AssignBignum(const Bignum& other);
49 void AssignDecimalString(Vector<const char> value);
50 void AssignHexString(Vector<const char> value);
52 void AssignPowerUInt16(uint16_t base, int exponent);
54 void AddUInt16(uint16_t operand);
55 void AddUInt64(uint64_t operand);
56 void AddBignum(const Bignum& other);
57 // Precondition: this >= other.
58 void SubtractBignum(const Bignum& other);
60 void Square();
61 void ShiftLeft(int shift_amount);
62 void MultiplyByUInt32(uint32_t factor);
63 void MultiplyByUInt64(uint64_t factor);
64 void MultiplyByPowerOfTen(int exponent);
65 void Times10() { return MultiplyByUInt32(10); }
66 // Pseudocode:
67 // int result = this / other;
68 // this = this % other;
69 // In the worst case this function is in O(this/other).
70 uint16_t DivideModuloIntBignum(const Bignum& other);
72 bool ToHexString(char* buffer, int buffer_size) const;
74 static int Compare(const Bignum& a, const Bignum& b);
75 static bool Equal(const Bignum& a, const Bignum& b) {
76 return Compare(a, b) == 0;
78 static bool LessEqual(const Bignum& a, const Bignum& b) {
79 return Compare(a, b) <= 0;
81 static bool Less(const Bignum& a, const Bignum& b) {
82 return Compare(a, b) < 0;
84 // Returns Compare(a + b, c);
85 static int PlusCompare(const Bignum& a, const Bignum& b, const Bignum& c);
86 // Returns a + b == c
87 static bool PlusEqual(const Bignum& a, const Bignum& b, const Bignum& c) {
88 return PlusCompare(a, b, c) == 0;
90 // Returns a + b <= c
91 static bool PlusLessEqual(const Bignum& a, const Bignum& b, const Bignum& c) {
92 return PlusCompare(a, b, c) <= 0;
94 // Returns a + b < c
95 static bool PlusLess(const Bignum& a, const Bignum& b, const Bignum& c) {
96 return PlusCompare(a, b, c) < 0;
98 private:
99 typedef uint32_t Chunk;
100 typedef uint64_t DoubleChunk;
102 static const int kChunkSize = sizeof(Chunk) * 8;
103 static const int kDoubleChunkSize = sizeof(DoubleChunk) * 8;
104 // With bigit size of 28 we loose some bits, but a double still fits easily
105 // into two chunks, and more importantly we can use the Comba multiplication.
106 static const int kBigitSize = 28;
107 static const Chunk kBigitMask = (1 << kBigitSize) - 1;
108 // Every instance allocates kBigitLength chunks on the stack. Bignums cannot
109 // grow. There are no checks if the stack-allocated space is sufficient.
110 static const int kBigitCapacity = kMaxSignificantBits / kBigitSize;
112 void EnsureCapacity(int size) {
113 if (size > kBigitCapacity) {
114 UNREACHABLE();
117 void Align(const Bignum& other);
118 void Clamp();
119 bool IsClamped() const;
120 void Zero();
121 // Requires this to have enough capacity (no tests done).
122 // Updates used_digits_ if necessary.
123 // shift_amount must be < kBigitSize.
124 void BigitsShiftLeft(int shift_amount);
125 // BigitLength includes the "hidden" digits encoded in the exponent.
126 int BigitLength() const { return used_digits_ + exponent_; }
127 Chunk BigitAt(int index) const;
128 void SubtractTimes(const Bignum& other, int factor);
130 Chunk bigits_buffer_[kBigitCapacity];
131 // A vector backed by bigits_buffer_. This way accesses to the array are
132 // checked for out-of-bounds errors.
133 Vector<Chunk> bigits_;
134 int used_digits_;
135 // The Bignum's value equals value(bigits_) * 2^(exponent_ * kBigitSize).
136 int exponent_;
138 DISALLOW_COPY_AND_ASSIGN(Bignum);
141 } // namespace double_conversion
143 } // namespace WTF
145 #endif // DOUBLE_CONVERSION_BIGNUM_H_