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| 1 // Copyright 2010 the V8 project authors. All rights reserved. |
| 2 // Redistribution and use in source and binary forms, with or without |
| 3 // modification, are permitted provided that the following conditions are |
| 4 // met: |
| 5 // |
| 6 // * Redistributions of source code must retain the above copyright |
| 7 // notice, this list of conditions and the following disclaimer. |
| 8 // * Redistributions in binary form must reproduce the above |
| 9 // copyright notice, this list of conditions and the following |
| 10 // disclaimer in the documentation and/or other materials provided |
| 11 // with the distribution. |
| 12 // * Neither the name of Google Inc. nor the names of its |
| 13 // contributors may be used to endorse or promote products derived |
| 14 // from this software without specific prior written permission. |
| 15 // |
| 16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
| 17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
| 18 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
| 19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT |
| 20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| 21 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
| 22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
| 23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
| 24 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| 25 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
| 26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 27 |
| 28 #ifndef DOUBLE_CONVERSION_BIGNUM_H_ |
| 29 #define DOUBLE_CONVERSION_BIGNUM_H_ |
| 30 |
| 31 #include "utils.h" |
| 32 |
| 33 namespace double_conversion { |
| 34 |
| 35 class Bignum { |
| 36 public: |
| 37 // 3584 = 128 * 28. We can represent 2^3584 > 10^1000 accurately. |
| 38 // This bignum can encode much bigger numbers, since it contains an |
| 39 // exponent. |
| 40 static const int kMaxSignificantBits = 3584; |
| 41 |
| 42 Bignum(); |
| 43 void AssignUInt16(uint16_t value); |
| 44 void AssignUInt64(uint64_t value); |
| 45 void AssignBignum(const Bignum& other); |
| 46 |
| 47 void AssignDecimalString(Vector<const char> value); |
| 48 void AssignHexString(Vector<const char> value); |
| 49 |
| 50 void AssignPowerUInt16(uint16_t base, int exponent); |
| 51 |
| 52 void AddUInt16(uint16_t operand); |
| 53 void AddUInt64(uint64_t operand); |
| 54 void AddBignum(const Bignum& other); |
| 55 // Precondition: this >= other. |
| 56 void SubtractBignum(const Bignum& other); |
| 57 |
| 58 void Square(); |
| 59 void ShiftLeft(int shift_amount); |
| 60 void MultiplyByUInt32(uint32_t factor); |
| 61 void MultiplyByUInt64(uint64_t factor); |
| 62 void MultiplyByPowerOfTen(int exponent); |
| 63 void Times10() { return MultiplyByUInt32(10); } |
| 64 // Pseudocode: |
| 65 // int result = this / other; |
| 66 // this = this % other; |
| 67 // In the worst case this function is in O(this/other). |
| 68 uint16_t DivideModuloIntBignum(const Bignum& other); |
| 69 |
| 70 bool ToHexString(char* buffer, int buffer_size) const; |
| 71 |
| 72 static int Compare(const Bignum& a, const Bignum& b); |
| 73 static bool Equal(const Bignum& a, const Bignum& b) { |
| 74 return Compare(a, b) == 0; |
| 75 } |
| 76 static bool LessEqual(const Bignum& a, const Bignum& b) { |
| 77 return Compare(a, b) <= 0; |
| 78 } |
| 79 static bool Less(const Bignum& a, const Bignum& b) { |
| 80 return Compare(a, b) < 0; |
| 81 } |
| 82 // Returns Compare(a + b, c); |
| 83 static int PlusCompare(const Bignum& a, const Bignum& b, const Bignum& c); |
| 84 // Returns a + b == c |
| 85 static bool PlusEqual(const Bignum& a, const Bignum& b, const Bignum& c) { |
| 86 return PlusCompare(a, b, c) == 0; |
| 87 } |
| 88 // Returns a + b <= c |
| 89 static bool PlusLessEqual(const Bignum& a, const Bignum& b, const Bignum& c) { |
| 90 return PlusCompare(a, b, c) <= 0; |
| 91 } |
| 92 // Returns a + b < c |
| 93 static bool PlusLess(const Bignum& a, const Bignum& b, const Bignum& c) { |
| 94 return PlusCompare(a, b, c) < 0; |
| 95 } |
| 96 private: |
| 97 typedef uint32_t Chunk; |
| 98 typedef uint64_t DoubleChunk; |
| 99 |
| 100 static const int kChunkSize = sizeof(Chunk) * 8; |
| 101 static const int kDoubleChunkSize = sizeof(DoubleChunk) * 8; |
| 102 // With bigit size of 28 we loose some bits, but a double still fits easily |
| 103 // into two chunks, and more importantly we can use the Comba multiplication. |
| 104 static const int kBigitSize = 28; |
| 105 static const Chunk kBigitMask = (1 << kBigitSize) - 1; |
| 106 // Every instance allocates kBigitLength chunks on the stack. Bignums cannot |
| 107 // grow. There are no checks if the stack-allocated space is sufficient. |
| 108 static const int kBigitCapacity = kMaxSignificantBits / kBigitSize; |
| 109 |
| 110 void EnsureCapacity(int size) { |
| 111 if (size > kBigitCapacity) { |
| 112 UNREACHABLE(); |
| 113 } |
| 114 } |
| 115 void Align(const Bignum& other); |
| 116 void Clamp(); |
| 117 bool IsClamped() const; |
| 118 void Zero(); |
| 119 // Requires this to have enough capacity (no tests done). |
| 120 // Updates used_digits_ if necessary. |
| 121 // shift_amount must be < kBigitSize. |
| 122 void BigitsShiftLeft(int shift_amount); |
| 123 // BigitLength includes the "hidden" digits encoded in the exponent. |
| 124 int BigitLength() const { return used_digits_ + exponent_; } |
| 125 Chunk BigitAt(int index) const; |
| 126 void SubtractTimes(const Bignum& other, int factor); |
| 127 |
| 128 Chunk bigits_buffer_[kBigitCapacity]; |
| 129 // A vector backed by bigits_buffer_. This way accesses to the array are |
| 130 // checked for out-of-bounds errors. |
| 131 Vector<Chunk> bigits_; |
| 132 int used_digits_; |
| 133 // The Bignum's value equals value(bigits_) * 2^(exponent_ * kBigitSize). |
| 134 int exponent_; |
| 135 |
| 136 DISALLOW_COPY_AND_ASSIGN(Bignum); |
| 137 }; |
| 138 |
| 139 } // namespace double_conversion |
| 140 |
| 141 #endif // DOUBLE_CONVERSION_BIGNUM_H_ |
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