| // Copyright 2010 the V8 project authors. All rights reserved. | |
| // Redistribution and use in source and binary forms, with or without | |
| // modification, are permitted provided that the following conditions are | |
| // met: | |
| // | |
| // * Redistributions of source code must retain the above copyright | |
| // notice, this list of conditions and the following disclaimer. | |
| // * 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. | |
| // * Neither the name of Google Inc. nor the names of its | |
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| // from this software without specific prior written permission. | |
| // | |
| // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
| // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
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| // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | |
| // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
| namespace double_conversion { | |
| class Bignum { | |
| public: | |
| // 3584 = 128 * 28. We can represent 2^3584 > 10^1000 accurately. | |
| // This bignum can encode much bigger numbers, since it contains an | |
| // exponent. | |
| static const int kMaxSignificantBits = 3584; | |
| Bignum(); | |
| void AssignUInt16(uint16_t value); | |
| void AssignUInt64(uint64_t value); | |
| void AssignBignum(const Bignum& other); | |
| void AssignDecimalString(Vector<const char> value); | |
| void AssignHexString(Vector<const char> value); | |
| void AssignPowerUInt16(uint16_t base, int exponent); | |
| void AddUInt16(uint16_t operand); | |
| void AddUInt64(uint64_t operand); | |
| void AddBignum(const Bignum& other); | |
| // Precondition: this >= other. | |
| void SubtractBignum(const Bignum& other); | |
| void Square(); | |
| void ShiftLeft(int shift_amount); | |
| void MultiplyByUInt32(uint32_t factor); | |
| void MultiplyByUInt64(uint64_t factor); | |
| void MultiplyByPowerOfTen(int exponent); | |
| void Times10() { return MultiplyByUInt32(10); } | |
| // Pseudocode: | |
| // int result = this / other; | |
| // this = this % other; | |
| // In the worst case this function is in O(this/other). | |
| uint16_t DivideModuloIntBignum(const Bignum& other); | |
| bool ToHexString(char* buffer, int buffer_size) const; | |
| // Returns | |
| // -1 if a < b, | |
| // 0 if a == b, and | |
| // +1 if a > b. | |
| static int Compare(const Bignum& a, const Bignum& b); | |
| static bool Equal(const Bignum& a, const Bignum& b) { | |
| return Compare(a, b) == 0; | |
| } | |
| static bool LessEqual(const Bignum& a, const Bignum& b) { | |
| return Compare(a, b) <= 0; | |
| } | |
| static bool Less(const Bignum& a, const Bignum& b) { | |
| return Compare(a, b) < 0; | |
| } | |
| // Returns Compare(a + b, c); | |
| static int PlusCompare(const Bignum& a, const Bignum& b, const Bignum& c); | |
| // Returns a + b == c | |
| static bool PlusEqual(const Bignum& a, const Bignum& b, const Bignum& c) { | |
| return PlusCompare(a, b, c) == 0; | |
| } | |
| // Returns a + b <= c | |
| static bool PlusLessEqual(const Bignum& a, const Bignum& b, const Bignum& c) { | |
| return PlusCompare(a, b, c) <= 0; | |
| } | |
| // Returns a + b < c | |
| static bool PlusLess(const Bignum& a, const Bignum& b, const Bignum& c) { | |
| return PlusCompare(a, b, c) < 0; | |
| } | |
| private: | |
| typedef uint32_t Chunk; | |
| typedef uint64_t DoubleChunk; | |
| static const int kChunkSize = sizeof(Chunk) * 8; | |
| static const int kDoubleChunkSize = sizeof(DoubleChunk) * 8; | |
| // With bigit size of 28 we loose some bits, but a double still fits easily | |
| // into two chunks, and more importantly we can use the Comba multiplication. | |
| static const int kBigitSize = 28; | |
| static const Chunk kBigitMask = (1 << kBigitSize) - 1; | |
| // Every instance allocates kBigitLength chunks on the stack. Bignums cannot | |
| // grow. There are no checks if the stack-allocated space is sufficient. | |
| static const int kBigitCapacity = kMaxSignificantBits / kBigitSize; | |
| void EnsureCapacity(int size) { | |
| if (size > kBigitCapacity) { | |
| UNREACHABLE(); | |
| } | |
| } | |
| void Align(const Bignum& other); | |
| void Clamp(); | |
| bool IsClamped() const; | |
| void Zero(); | |
| // Requires this to have enough capacity (no tests done). | |
| // Updates used_digits_ if necessary. | |
| // shift_amount must be < kBigitSize. | |
| void BigitsShiftLeft(int shift_amount); | |
| // BigitLength includes the "hidden" digits encoded in the exponent. | |
| int BigitLength() const { return used_digits_ + exponent_; } | |
| Chunk BigitAt(int index) const; | |
| void SubtractTimes(const Bignum& other, int factor); | |
| Chunk bigits_buffer_[kBigitCapacity]; | |
| // A vector backed by bigits_buffer_. This way accesses to the array are | |
| // checked for out-of-bounds errors. | |
| Vector<Chunk> bigits_; | |
| int used_digits_; | |
| // The Bignum's value equals value(bigits_) * 2^(exponent_ * kBigitSize). | |
| int exponent_; | |
| DISALLOW_COPY_AND_ASSIGN(Bignum); | |
| }; | |
| } // namespace double_conversion | |