forked from wownero/wownero
parent
bd8e0fd2a1
commit
32a26332f8
@ -1,73 +0,0 @@
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// Copyright (C) 2011 Milo Yip
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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// THE SOFTWARE.
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#ifndef RAPIDJSON_FILESTREAM_H_
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#define RAPIDJSON_FILESTREAM_H_
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#include "rapidjson.h"
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#include <cstdio>
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namespace rapidjson {
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//! (Depreciated) Wrapper of C file stream for input or output.
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/*!
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This simple wrapper does not check the validity of the stream.
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\note implements Stream concept
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\note deprecated: This was only for basic testing in version 0.1, it is found that the performance is very low by using fgetc(). Use FileReadStream instead.
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*/
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class FileStream {
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public:
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typedef char Ch; //!< Character type. Only support char.
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FileStream(FILE* fp) : fp_(fp), current_('\0'), count_(0) { Read(); }
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char Peek() const { return current_; }
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char Take() { char c = current_; Read(); return c; }
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size_t Tell() const { return count_; }
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void Put(char c) { fputc(c, fp_); }
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void Flush() { fflush(fp_); }
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// Not implemented
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char* PutBegin() { return 0; }
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size_t PutEnd(char*) { return 0; }
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private:
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// Prohibit copy constructor & assignment operator.
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FileStream(const FileStream&);
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FileStream& operator=(const FileStream&);
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void Read() {
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RAPIDJSON_ASSERT(fp_ != 0);
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int c = fgetc(fp_);
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if (c != EOF) {
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current_ = (char)c;
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count_++;
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}
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else if (current_ != '\0')
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current_ = '\0';
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}
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FILE* fp_;
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char current_;
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size_t count_;
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};
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} // namespace rapidjson
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#endif // RAPIDJSON_FILESTREAM_H_
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@ -0,0 +1,290 @@
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// Tencent is pleased to support the open source community by making RapidJSON available.
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//
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// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved.
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//
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// Licensed under the MIT License (the "License"); you may not use this file except
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// in compliance with the License. You may obtain a copy of the License at
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//
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// http://opensource.org/licenses/MIT
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//
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// Unless required by applicable law or agreed to in writing, software distributed
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// under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
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// CONDITIONS OF ANY KIND, either express or implied. See the License for the
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// specific language governing permissions and limitations under the License.
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#ifndef RAPIDJSON_BIGINTEGER_H_
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#define RAPIDJSON_BIGINTEGER_H_
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#include "../rapidjson.h"
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#if defined(_MSC_VER) && defined(_M_AMD64)
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#include <intrin.h> // for _umul128
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#pragma intrinsic(_umul128)
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#endif
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RAPIDJSON_NAMESPACE_BEGIN
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namespace internal {
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class BigInteger {
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public:
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typedef uint64_t Type;
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BigInteger(const BigInteger& rhs) : count_(rhs.count_) {
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std::memcpy(digits_, rhs.digits_, count_ * sizeof(Type));
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}
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explicit BigInteger(uint64_t u) : count_(1) {
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digits_[0] = u;
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}
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BigInteger(const char* decimals, size_t length) : count_(1) {
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RAPIDJSON_ASSERT(length > 0);
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digits_[0] = 0;
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size_t i = 0;
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const size_t kMaxDigitPerIteration = 19; // 2^64 = 18446744073709551616 > 10^19
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while (length >= kMaxDigitPerIteration) {
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AppendDecimal64(decimals + i, decimals + i + kMaxDigitPerIteration);
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length -= kMaxDigitPerIteration;
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i += kMaxDigitPerIteration;
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}
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if (length > 0)
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AppendDecimal64(decimals + i, decimals + i + length);
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}
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BigInteger& operator=(const BigInteger &rhs)
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{
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if (this != &rhs) {
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count_ = rhs.count_;
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std::memcpy(digits_, rhs.digits_, count_ * sizeof(Type));
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}
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return *this;
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}
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BigInteger& operator=(uint64_t u) {
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digits_[0] = u;
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count_ = 1;
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return *this;
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}
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BigInteger& operator+=(uint64_t u) {
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Type backup = digits_[0];
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digits_[0] += u;
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for (size_t i = 0; i < count_ - 1; i++) {
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if (digits_[i] >= backup)
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return *this; // no carry
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backup = digits_[i + 1];
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digits_[i + 1] += 1;
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}
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// Last carry
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if (digits_[count_ - 1] < backup)
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PushBack(1);
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return *this;
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}
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BigInteger& operator*=(uint64_t u) {
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if (u == 0) return *this = 0;
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if (u == 1) return *this;
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if (*this == 1) return *this = u;
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uint64_t k = 0;
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for (size_t i = 0; i < count_; i++) {
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uint64_t hi;
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digits_[i] = MulAdd64(digits_[i], u, k, &hi);
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k = hi;
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}
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if (k > 0)
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PushBack(k);
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return *this;
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}
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BigInteger& operator*=(uint32_t u) {
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if (u == 0) return *this = 0;
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if (u == 1) return *this;
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if (*this == 1) return *this = u;
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uint64_t k = 0;
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for (size_t i = 0; i < count_; i++) {
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const uint64_t c = digits_[i] >> 32;
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const uint64_t d = digits_[i] & 0xFFFFFFFF;
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const uint64_t uc = u * c;
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const uint64_t ud = u * d;
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const uint64_t p0 = ud + k;
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const uint64_t p1 = uc + (p0 >> 32);
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digits_[i] = (p0 & 0xFFFFFFFF) | (p1 << 32);
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k = p1 >> 32;
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}
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if (k > 0)
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PushBack(k);
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return *this;
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}
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BigInteger& operator<<=(size_t shift) {
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if (IsZero() || shift == 0) return *this;
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size_t offset = shift / kTypeBit;
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size_t interShift = shift % kTypeBit;
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RAPIDJSON_ASSERT(count_ + offset <= kCapacity);
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if (interShift == 0) {
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std::memmove(&digits_[count_ - 1 + offset], &digits_[count_ - 1], count_ * sizeof(Type));
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count_ += offset;
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}
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else {
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digits_[count_] = 0;
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for (size_t i = count_; i > 0; i--)
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digits_[i + offset] = (digits_[i] << interShift) | (digits_[i - 1] >> (kTypeBit - interShift));
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digits_[offset] = digits_[0] << interShift;
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count_ += offset;
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if (digits_[count_])
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count_++;
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}
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std::memset(digits_, 0, offset * sizeof(Type));
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return *this;
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}
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bool operator==(const BigInteger& rhs) const {
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return count_ == rhs.count_ && std::memcmp(digits_, rhs.digits_, count_ * sizeof(Type)) == 0;
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}
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bool operator==(const Type rhs) const {
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return count_ == 1 && digits_[0] == rhs;
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}
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BigInteger& MultiplyPow5(unsigned exp) {
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static const uint32_t kPow5[12] = {
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5,
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5 * 5,
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5 * 5 * 5,
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5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5,
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5
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};
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if (exp == 0) return *this;
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for (; exp >= 27; exp -= 27) *this *= RAPIDJSON_UINT64_C2(0X6765C793, 0XFA10079D); // 5^27
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for (; exp >= 13; exp -= 13) *this *= static_cast<uint32_t>(1220703125u); // 5^13
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if (exp > 0) *this *= kPow5[exp - 1];
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return *this;
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}
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// Compute absolute difference of this and rhs.
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// Assume this != rhs
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bool Difference(const BigInteger& rhs, BigInteger* out) const {
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int cmp = Compare(rhs);
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RAPIDJSON_ASSERT(cmp != 0);
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const BigInteger *a, *b; // Makes a > b
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bool ret;
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if (cmp < 0) { a = &rhs; b = this; ret = true; }
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else { a = this; b = &rhs; ret = false; }
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Type borrow = 0;
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for (size_t i = 0; i < a->count_; i++) {
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Type d = a->digits_[i] - borrow;
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if (i < b->count_)
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d -= b->digits_[i];
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borrow = (d > a->digits_[i]) ? 1 : 0;
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out->digits_[i] = d;
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if (d != 0)
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out->count_ = i + 1;
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}
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return ret;
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}
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int Compare(const BigInteger& rhs) const {
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if (count_ != rhs.count_)
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return count_ < rhs.count_ ? -1 : 1;
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for (size_t i = count_; i-- > 0;)
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if (digits_[i] != rhs.digits_[i])
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return digits_[i] < rhs.digits_[i] ? -1 : 1;
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return 0;
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}
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size_t GetCount() const { return count_; }
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Type GetDigit(size_t index) const { RAPIDJSON_ASSERT(index < count_); return digits_[index]; }
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bool IsZero() const { return count_ == 1 && digits_[0] == 0; }
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private:
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void AppendDecimal64(const char* begin, const char* end) {
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uint64_t u = ParseUint64(begin, end);
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if (IsZero())
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*this = u;
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else {
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unsigned exp = static_cast<unsigned>(end - begin);
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(MultiplyPow5(exp) <<= exp) += u; // *this = *this * 10^exp + u
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}
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}
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void PushBack(Type digit) {
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RAPIDJSON_ASSERT(count_ < kCapacity);
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digits_[count_++] = digit;
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}
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static uint64_t ParseUint64(const char* begin, const char* end) {
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uint64_t r = 0;
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for (const char* p = begin; p != end; ++p) {
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RAPIDJSON_ASSERT(*p >= '0' && *p <= '9');
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r = r * 10u + static_cast<unsigned>(*p - '0');
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}
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return r;
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}
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// Assume a * b + k < 2^128
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static uint64_t MulAdd64(uint64_t a, uint64_t b, uint64_t k, uint64_t* outHigh) {
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#if defined(_MSC_VER) && defined(_M_AMD64)
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uint64_t low = _umul128(a, b, outHigh) + k;
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if (low < k)
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(*outHigh)++;
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return low;
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#elif (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__x86_64__)
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__extension__ typedef unsigned __int128 uint128;
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uint128 p = static_cast<uint128>(a) * static_cast<uint128>(b);
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p += k;
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*outHigh = static_cast<uint64_t>(p >> 64);
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return static_cast<uint64_t>(p);
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#else
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const uint64_t a0 = a & 0xFFFFFFFF, a1 = a >> 32, b0 = b & 0xFFFFFFFF, b1 = b >> 32;
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uint64_t x0 = a0 * b0, x1 = a0 * b1, x2 = a1 * b0, x3 = a1 * b1;
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x1 += (x0 >> 32); // can't give carry
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x1 += x2;
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if (x1 < x2)
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x3 += (static_cast<uint64_t>(1) << 32);
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uint64_t lo = (x1 << 32) + (x0 & 0xFFFFFFFF);
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uint64_t hi = x3 + (x1 >> 32);
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lo += k;
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if (lo < k)
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hi++;
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*outHigh = hi;
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return lo;
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#endif
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}
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static const size_t kBitCount = 3328; // 64bit * 54 > 10^1000
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static const size_t kCapacity = kBitCount / sizeof(Type);
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static const size_t kTypeBit = sizeof(Type) * 8;
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Type digits_[kCapacity];
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size_t count_;
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};
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} // namespace internal
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RAPIDJSON_NAMESPACE_END
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#endif // RAPIDJSON_BIGINTEGER_H_
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@ -0,0 +1,258 @@
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// Tencent is pleased to support the open source community by making RapidJSON available.
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//
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// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved.
|
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//
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// Licensed under the MIT License (the "License"); you may not use this file except
|
||||
// in compliance with the License. You may obtain a copy of the License at
|
||||
//
|
||||
// http://opensource.org/licenses/MIT
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software distributed
|
||||
// under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
|
||||
// CONDITIONS OF ANY KIND, either express or implied. See the License for the
|
||||
// specific language governing permissions and limitations under the License.
|
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// This is a C++ header-only implementation of Grisu2 algorithm from the publication:
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// Loitsch, Florian. "Printing floating-point numbers quickly and accurately with
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// integers." ACM Sigplan Notices 45.6 (2010): 233-243.
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#ifndef RAPIDJSON_DIYFP_H_
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#define RAPIDJSON_DIYFP_H_
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#include "../rapidjson.h"
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#if defined(_MSC_VER) && defined(_M_AMD64)
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#include <intrin.h>
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#pragma intrinsic(_BitScanReverse64)
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#pragma intrinsic(_umul128)
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#endif
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RAPIDJSON_NAMESPACE_BEGIN
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namespace internal {
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#ifdef __GNUC__
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RAPIDJSON_DIAG_PUSH
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RAPIDJSON_DIAG_OFF(effc++)
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#endif
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#ifdef __clang__
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RAPIDJSON_DIAG_PUSH
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RAPIDJSON_DIAG_OFF(padded)
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#endif
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struct DiyFp {
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DiyFp() {}
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DiyFp(uint64_t fp, int exp) : f(fp), e(exp) {}
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explicit DiyFp(double d) {
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union {
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double d;
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uint64_t u64;
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} u = { d };
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int biased_e = static_cast<int>((u.u64 & kDpExponentMask) >> kDpSignificandSize);
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uint64_t significand = (u.u64 & kDpSignificandMask);
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if (biased_e != 0) {
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f = significand + kDpHiddenBit;
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e = biased_e - kDpExponentBias;
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||||
}
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else {
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f = significand;
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e = kDpMinExponent + 1;
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}
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}
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DiyFp operator-(const DiyFp& rhs) const {
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return DiyFp(f - rhs.f, e);
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}
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DiyFp operator*(const DiyFp& rhs) const {
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#if defined(_MSC_VER) && defined(_M_AMD64)
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uint64_t h;
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uint64_t l = _umul128(f, rhs.f, &h);
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if (l & (uint64_t(1) << 63)) // rounding
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h++;
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return DiyFp(h, e + rhs.e + 64);
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#elif (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__x86_64__)
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__extension__ typedef unsigned __int128 uint128;
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uint128 p = static_cast<uint128>(f) * static_cast<uint128>(rhs.f);
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uint64_t h = static_cast<uint64_t>(p >> 64);
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uint64_t l = static_cast<uint64_t>(p);
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if (l & (uint64_t(1) << 63)) // rounding
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h++;
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return DiyFp(h, e + rhs.e + 64);
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#else
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const uint64_t M32 = 0xFFFFFFFF;
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const uint64_t a = f >> 32;
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const uint64_t b = f & M32;
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||||
const uint64_t c = rhs.f >> 32;
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const uint64_t d = rhs.f & M32;
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||||
const uint64_t ac = a * c;
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||||
const uint64_t bc = b * c;
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||||
const uint64_t ad = a * d;
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||||
const uint64_t bd = b * d;
|
||||
uint64_t tmp = (bd >> 32) + (ad & M32) + (bc & M32);
|
||||
tmp += 1U << 31; /// mult_round
|
||||
return DiyFp(ac + (ad >> 32) + (bc >> 32) + (tmp >> 32), e + rhs.e + 64);
|
||||
#endif
|
||||
}
|
||||
|
||||
DiyFp Normalize() const {
|
||||
#if defined(_MSC_VER) && defined(_M_AMD64)
|
||||
unsigned long index;
|
||||
_BitScanReverse64(&index, f);
|
||||
return DiyFp(f << (63 - index), e - (63 - index));
|
||||
#elif defined(__GNUC__) && __GNUC__ >= 4
|
||||
int s = __builtin_clzll(f);
|
||||
return DiyFp(f << s, e - s);
|
||||
#else
|
||||
DiyFp res = *this;
|
||||
while (!(res.f & (static_cast<uint64_t>(1) << 63))) {
|
||||
res.f <<= 1;
|
||||
res.e--;
|
||||
}
|
||||
return res;
|
||||
#endif
|
||||
}
|
||||
|
||||
DiyFp NormalizeBoundary() const {
|
||||
DiyFp res = *this;
|
||||
while (!(res.f & (kDpHiddenBit << 1))) {
|
||||
res.f <<= 1;
|
||||
res.e--;
|
||||
}
|
||||
res.f <<= (kDiySignificandSize - kDpSignificandSize - 2);
|
||||
res.e = res.e - (kDiySignificandSize - kDpSignificandSize - 2);
|
||||
return res;
|
||||
}
|
||||
|
||||
void NormalizedBoundaries(DiyFp* minus, DiyFp* plus) const {
|
||||
DiyFp pl = DiyFp((f << 1) + 1, e - 1).NormalizeBoundary();
|
||||
DiyFp mi = (f == kDpHiddenBit) ? DiyFp((f << 2) - 1, e - 2) : DiyFp((f << 1) - 1, e - 1);
|
||||
mi.f <<= mi.e - pl.e;
|
||||
mi.e = pl.e;
|
||||
*plus = pl;
|
||||
*minus = mi;
|
||||
}
|
||||
|
||||
double ToDouble() const {
|
||||
union {
|
||||
double d;
|
||||
uint64_t u64;
|
||||
}u;
|
||||
const uint64_t be = (e == kDpDenormalExponent && (f & kDpHiddenBit) == 0) ? 0 :
|
||||
static_cast<uint64_t>(e + kDpExponentBias);
|
||||
u.u64 = (f & kDpSignificandMask) | (be << kDpSignificandSize);
|
||||
return u.d;
|
||||
}
|
||||
|
||||
static const int kDiySignificandSize = 64;
|
||||
static const int kDpSignificandSize = 52;
|
||||
static const int kDpExponentBias = 0x3FF + kDpSignificandSize;
|
||||
static const int kDpMaxExponent = 0x7FF - kDpExponentBias;
|
||||
static const int kDpMinExponent = -kDpExponentBias;
|
||||
static const int kDpDenormalExponent = -kDpExponentBias + 1;
|
||||
static const uint64_t kDpExponentMask = RAPIDJSON_UINT64_C2(0x7FF00000, 0x00000000);
|
||||
static const uint64_t kDpSignificandMask = RAPIDJSON_UINT64_C2(0x000FFFFF, 0xFFFFFFFF);
|
||||
static const uint64_t kDpHiddenBit = RAPIDJSON_UINT64_C2(0x00100000, 0x00000000);
|
||||
|
||||
uint64_t f;
|
||||
int e;
|
||||
};
|
||||
|
||||
inline DiyFp GetCachedPowerByIndex(size_t index) {
|
||||
// 10^-348, 10^-340, ..., 10^340
|
||||
static const uint64_t kCachedPowers_F[] = {
|
||||
RAPIDJSON_UINT64_C2(0xfa8fd5a0, 0x081c0288), RAPIDJSON_UINT64_C2(0xbaaee17f, 0xa23ebf76),
|
||||
RAPIDJSON_UINT64_C2(0x8b16fb20, 0x3055ac76), RAPIDJSON_UINT64_C2(0xcf42894a, 0x5dce35ea),
|
||||
RAPIDJSON_UINT64_C2(0x9a6bb0aa, 0x55653b2d), RAPIDJSON_UINT64_C2(0xe61acf03, 0x3d1a45df),
|
||||
RAPIDJSON_UINT64_C2(0xab70fe17, 0xc79ac6ca), RAPIDJSON_UINT64_C2(0xff77b1fc, 0xbebcdc4f),
|
||||
RAPIDJSON_UINT64_C2(0xbe5691ef, 0x416bd60c), RAPIDJSON_UINT64_C2(0x8dd01fad, 0x907ffc3c),
|
||||
RAPIDJSON_UINT64_C2(0xd3515c28, 0x31559a83), RAPIDJSON_UINT64_C2(0x9d71ac8f, 0xada6c9b5),
|
||||
RAPIDJSON_UINT64_C2(0xea9c2277, 0x23ee8bcb), RAPIDJSON_UINT64_C2(0xaecc4991, 0x4078536d),
|
||||
RAPIDJSON_UINT64_C2(0x823c1279, 0x5db6ce57), RAPIDJSON_UINT64_C2(0xc2109436, 0x4dfb5637),
|
||||
RAPIDJSON_UINT64_C2(0x9096ea6f, 0x3848984f), RAPIDJSON_UINT64_C2(0xd77485cb, 0x25823ac7),
|
||||
RAPIDJSON_UINT64_C2(0xa086cfcd, 0x97bf97f4), RAPIDJSON_UINT64_C2(0xef340a98, 0x172aace5),
|
||||
RAPIDJSON_UINT64_C2(0xb23867fb, 0x2a35b28e), RAPIDJSON_UINT64_C2(0x84c8d4df, 0xd2c63f3b),
|
||||
RAPIDJSON_UINT64_C2(0xc5dd4427, 0x1ad3cdba), RAPIDJSON_UINT64_C2(0x936b9fce, 0xbb25c996),
|
||||
RAPIDJSON_UINT64_C2(0xdbac6c24, 0x7d62a584), RAPIDJSON_UINT64_C2(0xa3ab6658, 0x0d5fdaf6),
|
||||
RAPIDJSON_UINT64_C2(0xf3e2f893, 0xdec3f126), RAPIDJSON_UINT64_C2(0xb5b5ada8, 0xaaff80b8),
|
||||
RAPIDJSON_UINT64_C2(0x87625f05, 0x6c7c4a8b), RAPIDJSON_UINT64_C2(0xc9bcff60, 0x34c13053),
|
||||
RAPIDJSON_UINT64_C2(0x964e858c, 0x91ba2655), RAPIDJSON_UINT64_C2(0xdff97724, 0x70297ebd),
|
||||
RAPIDJSON_UINT64_C2(0xa6dfbd9f, 0xb8e5b88f), RAPIDJSON_UINT64_C2(0xf8a95fcf, 0x88747d94),
|
||||
RAPIDJSON_UINT64_C2(0xb9447093, 0x8fa89bcf), RAPIDJSON_UINT64_C2(0x8a08f0f8, 0xbf0f156b),
|
||||
RAPIDJSON_UINT64_C2(0xcdb02555, 0x653131b6), RAPIDJSON_UINT64_C2(0x993fe2c6, 0xd07b7fac),
|
||||
RAPIDJSON_UINT64_C2(0xe45c10c4, 0x2a2b3b06), RAPIDJSON_UINT64_C2(0xaa242499, 0x697392d3),
|
||||
RAPIDJSON_UINT64_C2(0xfd87b5f2, 0x8300ca0e), RAPIDJSON_UINT64_C2(0xbce50864, 0x92111aeb),
|
||||
RAPIDJSON_UINT64_C2(0x8cbccc09, 0x6f5088cc), RAPIDJSON_UINT64_C2(0xd1b71758, 0xe219652c),
|
||||
RAPIDJSON_UINT64_C2(0x9c400000, 0x00000000), RAPIDJSON_UINT64_C2(0xe8d4a510, 0x00000000),
|
||||
RAPIDJSON_UINT64_C2(0xad78ebc5, 0xac620000), RAPIDJSON_UINT64_C2(0x813f3978, 0xf8940984),
|
||||
RAPIDJSON_UINT64_C2(0xc097ce7b, 0xc90715b3), RAPIDJSON_UINT64_C2(0x8f7e32ce, 0x7bea5c70),
|
||||
RAPIDJSON_UINT64_C2(0xd5d238a4, 0xabe98068), RAPIDJSON_UINT64_C2(0x9f4f2726, 0x179a2245),
|
||||
RAPIDJSON_UINT64_C2(0xed63a231, 0xd4c4fb27), RAPIDJSON_UINT64_C2(0xb0de6538, 0x8cc8ada8),
|
||||
RAPIDJSON_UINT64_C2(0x83c7088e, 0x1aab65db), RAPIDJSON_UINT64_C2(0xc45d1df9, 0x42711d9a),
|
||||
RAPIDJSON_UINT64_C2(0x924d692c, 0xa61be758), RAPIDJSON_UINT64_C2(0xda01ee64, 0x1a708dea),
|
||||
RAPIDJSON_UINT64_C2(0xa26da399, 0x9aef774a), RAPIDJSON_UINT64_C2(0xf209787b, 0xb47d6b85),
|
||||
RAPIDJSON_UINT64_C2(0xb454e4a1, 0x79dd1877), RAPIDJSON_UINT64_C2(0x865b8692, 0x5b9bc5c2),
|
||||
RAPIDJSON_UINT64_C2(0xc83553c5, 0xc8965d3d), RAPIDJSON_UINT64_C2(0x952ab45c, 0xfa97a0b3),
|
||||
RAPIDJSON_UINT64_C2(0xde469fbd, 0x99a05fe3), RAPIDJSON_UINT64_C2(0xa59bc234, 0xdb398c25),
|
||||
RAPIDJSON_UINT64_C2(0xf6c69a72, 0xa3989f5c), RAPIDJSON_UINT64_C2(0xb7dcbf53, 0x54e9bece),
|
||||
RAPIDJSON_UINT64_C2(0x88fcf317, 0xf22241e2), RAPIDJSON_UINT64_C2(0xcc20ce9b, 0xd35c78a5),
|
||||
RAPIDJSON_UINT64_C2(0x98165af3, 0x7b2153df), RAPIDJSON_UINT64_C2(0xe2a0b5dc, 0x971f303a),
|
||||
RAPIDJSON_UINT64_C2(0xa8d9d153, 0x5ce3b396), RAPIDJSON_UINT64_C2(0xfb9b7cd9, 0xa4a7443c),
|
||||
RAPIDJSON_UINT64_C2(0xbb764c4c, 0xa7a44410), RAPIDJSON_UINT64_C2(0x8bab8eef, 0xb6409c1a),
|
||||
RAPIDJSON_UINT64_C2(0xd01fef10, 0xa657842c), RAPIDJSON_UINT64_C2(0x9b10a4e5, 0xe9913129),
|
||||
RAPIDJSON_UINT64_C2(0xe7109bfb, 0xa19c0c9d), RAPIDJSON_UINT64_C2(0xac2820d9, 0x623bf429),
|
||||
RAPIDJSON_UINT64_C2(0x80444b5e, 0x7aa7cf85), RAPIDJSON_UINT64_C2(0xbf21e440, 0x03acdd2d),
|
||||
RAPIDJSON_UINT64_C2(0x8e679c2f, 0x5e44ff8f), RAPIDJSON_UINT64_C2(0xd433179d, 0x9c8cb841),
|
||||
RAPIDJSON_UINT64_C2(0x9e19db92, 0xb4e31ba9), RAPIDJSON_UINT64_C2(0xeb96bf6e, 0xbadf77d9),
|
||||
RAPIDJSON_UINT64_C2(0xaf87023b, 0x9bf0ee6b)
|
||||
};
|
||||
static const int16_t kCachedPowers_E[] = {
|
||||
-1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007, -980,
|
||||
-954, -927, -901, -874, -847, -821, -794, -768, -741, -715,
|
||||
-688, -661, -635, -608, -582, -555, -529, -502, -475, -449,
|
||||
-422, -396, -369, -343, -316, -289, -263, -236, -210, -183,
|
||||
-157, -130, -103, -77, -50, -24, 3, 30, 56, 83,
|
||||
109, 136, 162, 189, 216, 242, 269, 295, 322, 348,
|
||||
375, 402, 428, 455, 481, 508, 534, 561, 588, 614,
|
||||
641, 667, 694, 720, 747, 774, 800, 827, 853, 880,
|
||||
907, 933, 960, 986, 1013, 1039, 1066
|
||||
};
|
||||
return DiyFp(kCachedPowers_F[index], kCachedPowers_E[index]);
|
||||
}
|
||||
|
||||
inline DiyFp GetCachedPower(int e, int* K) {
|
||||
|
||||
//int k = static_cast<int>(ceil((-61 - e) * 0.30102999566398114)) + 374;
|
||||
double dk = (-61 - e) * 0.30102999566398114 + 347; // dk must be positive, so can do ceiling in positive
|
||||
int k = static_cast<int>(dk);
|
||||
if (dk - k > 0.0)
|
||||
k++;
|
||||
|
||||
unsigned index = static_cast<unsigned>((k >> 3) + 1);
|
||||
*K = -(-348 + static_cast<int>(index << 3)); // decimal exponent no need lookup table
|
||||
|
||||
return GetCachedPowerByIndex(index);
|
||||
}
|
||||
|
||||
inline DiyFp GetCachedPower10(int exp, int *outExp) {
|
||||
unsigned index = (static_cast<unsigned>(exp) + 348u) / 8u;
|
||||
*outExp = -348 + static_cast<int>(index) * 8;
|
||||
return GetCachedPowerByIndex(index);
|
||||
}
|
||||
|
||||
#ifdef __GNUC__
|
||||
RAPIDJSON_DIAG_POP
|
||||
#endif
|
||||
|
||||
#ifdef __clang__
|
||||
RAPIDJSON_DIAG_POP
|
||||
RAPIDJSON_DIAG_OFF(padded)
|
||||
#endif
|
||||
|
||||
} // namespace internal
|
||||
RAPIDJSON_NAMESPACE_END
|
||||
|
||||
#endif // RAPIDJSON_DIYFP_H_
|
@ -0,0 +1,77 @@
|
||||
// Tencent is pleased to support the open source community by making RapidJSON available.
|
||||
//
|
||||
// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved.
|
||||
//
|
||||
// Licensed under the MIT License (the "License"); you may not use this file except
|
||||
// in compliance with the License. You may obtain a copy of the License at
|
||||
//
|
||||
// http://opensource.org/licenses/MIT
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software distributed
|
||||
// under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
|
||||
// CONDITIONS OF ANY KIND, either express or implied. See the License for the
|
||||
// specific language governing permissions and limitations under the License.
|
||||
|
||||
#ifndef RAPIDJSON_IEEE754_
|
||||
#define RAPIDJSON_IEEE754_
|
||||
|
||||
#include "../rapidjson.h"
|
||||
|
||||
RAPIDJSON_NAMESPACE_BEGIN
|
||||
namespace internal {
|
||||
|
||||
class Double {
|
||||
public:
|
||||
Double() {}
|
||||
Double(double d) : d_(d) {}
|
||||
Double(uint64_t u) : u_(u) {}
|
||||
|
||||
double Value() const { return d_; }
|
||||
uint64_t Uint64Value() const { return u_; }
|
||||
|
||||
double NextPositiveDouble() const {
|
||||
RAPIDJSON_ASSERT(!Sign());
|
||||
return Double(u_ + 1).Value();
|
||||
}
|
||||
|
||||
bool Sign() const { return (u_ & kSignMask) != 0; }
|
||||
uint64_t Significand() const { return u_ & kSignificandMask; }
|
||||
int Exponent() const { return static_cast<int>(((u_ & kExponentMask) >> kSignificandSize) - kExponentBias); }
|
||||
|
||||
bool IsNan() const { return (u_ & kExponentMask) == kExponentMask && Significand() != 0; }
|
||||
bool IsInf() const { return (u_ & kExponentMask) == kExponentMask && Significand() == 0; }
|
||||
bool IsNormal() const { return (u_ & kExponentMask) != 0 || Significand() == 0; }
|
||||
bool IsZero() const { return (u_ & (kExponentMask | kSignificandMask)) == 0; }
|
||||
|
||||
uint64_t IntegerSignificand() const { return IsNormal() ? Significand() | kHiddenBit : Significand(); }
|
||||
int IntegerExponent() const { return (IsNormal() ? Exponent() : kDenormalExponent) - kSignificandSize; }
|
||||
uint64_t ToBias() const { return (u_ & kSignMask) ? ~u_ + 1 : u_ | kSignMask; }
|
||||
|
||||
static unsigned EffectiveSignificandSize(int order) {
|
||||
if (order >= -1021)
|
||||
return 53;
|
||||
else if (order <= -1074)
|
||||
return 0;
|
||||
else
|
||||
return static_cast<unsigned>(order) + 1074;
|
||||
}
|
||||
|
||||
private:
|
||||
static const int kSignificandSize = 52;
|
||||
static const int kExponentBias = 0x3FF;
|
||||
static const int kDenormalExponent = 1 - kExponentBias;
|
||||
static const uint64_t kSignMask = RAPIDJSON_UINT64_C2(0x80000000, 0x00000000);
|
||||
static const uint64_t kExponentMask = RAPIDJSON_UINT64_C2(0x7FF00000, 0x00000000);
|
||||
static const uint64_t kSignificandMask = RAPIDJSON_UINT64_C2(0x000FFFFF, 0xFFFFFFFF);
|
||||
static const uint64_t kHiddenBit = RAPIDJSON_UINT64_C2(0x00100000, 0x00000000);
|
||||
|
||||
union {
|
||||
double d_;
|
||||
uint64_t u_;
|
||||
};
|
||||
};
|
||||
|
||||
} // namespace internal
|
||||
RAPIDJSON_NAMESPACE_END
|
||||
|
||||
#endif // RAPIDJSON_IEEE754_
|
@ -0,0 +1,270 @@
|
||||
// Tencent is pleased to support the open source community by making RapidJSON available.
|
||||
//
|
||||
// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved.
|
||||
//
|
||||
// Licensed under the MIT License (the "License"); you may not use this file except
|
||||
// in compliance with the License. You may obtain a copy of the License at
|
||||
//
|
||||
// http://opensource.org/licenses/MIT
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software distributed
|
||||
// under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
|
||||
// CONDITIONS OF ANY KIND, either express or implied. See the License for the
|
||||
// specific language governing permissions and limitations under the License.
|
||||
|
||||
#ifndef RAPIDJSON_STRTOD_
|
||||
#define RAPIDJSON_STRTOD_
|
||||
|
||||
#include "../rapidjson.h"
|
||||
#include "ieee754.h"
|
||||
#include "biginteger.h"
|
||||
#include "diyfp.h"
|
||||
#include "pow10.h"
|
||||
|
||||
RAPIDJSON_NAMESPACE_BEGIN
|
||||
namespace internal {
|
||||
|
||||
inline double FastPath(double significand, int exp) {
|
||||
if (exp < -308)
|
||||
return 0.0;
|
||||
else if (exp >= 0)
|
||||
return significand * internal::Pow10(exp);
|
||||
else
|
||||
return significand / internal::Pow10(-exp);
|
||||
}
|
||||
|
||||
inline double StrtodNormalPrecision(double d, int p) {
|
||||
if (p < -308) {
|
||||
// Prevent expSum < -308, making Pow10(p) = 0
|
||||
d = FastPath(d, -308);
|
||||
d = FastPath(d, p + 308);
|
||||
}
|
||||
else
|
||||
d = FastPath(d, p);
|
||||
return d;
|
||||
}
|
||||
|
||||
template <typename T>
|
||||
inline T Min3(T a, T b, T c) {
|
||||
T m = a;
|
||||
if (m > b) m = b;
|
||||
if (m > c) m = c;
|
||||
return m;
|
||||
}
|
||||
|
||||
inline int CheckWithinHalfULP(double b, const BigInteger& d, int dExp) {
|
||||
const Double db(b);
|
||||
const uint64_t bInt = db.IntegerSignificand();
|
||||
const int bExp = db.IntegerExponent();
|
||||
const int hExp = bExp - 1;
|
||||
|
||||
int dS_Exp2 = 0, dS_Exp5 = 0, bS_Exp2 = 0, bS_Exp5 = 0, hS_Exp2 = 0, hS_Exp5 = 0;
|
||||
|
||||
// Adjust for decimal exponent
|
||||
if (dExp >= 0) {
|
||||
dS_Exp2 += dExp;
|
||||
dS_Exp5 += dExp;
|
||||
}
|
||||
else {
|
||||
bS_Exp2 -= dExp;
|
||||
bS_Exp5 -= dExp;
|
||||
hS_Exp2 -= dExp;
|
||||
hS_Exp5 -= dExp;
|
||||
}
|
||||
|
||||
// Adjust for binary exponent
|
||||
if (bExp >= 0)
|
||||
bS_Exp2 += bExp;
|
||||
else {
|
||||
dS_Exp2 -= bExp;
|
||||
hS_Exp2 -= bExp;
|
||||
}
|
||||
|
||||
// Adjust for half ulp exponent
|
||||
if (hExp >= 0)
|
||||
hS_Exp2 += hExp;
|
||||
else {
|
||||
dS_Exp2 -= hExp;
|
||||
bS_Exp2 -= hExp;
|
||||
}
|
||||
|
||||
// Remove common power of two factor from all three scaled values
|
||||
int common_Exp2 = Min3(dS_Exp2, bS_Exp2, hS_Exp2);
|
||||
dS_Exp2 -= common_Exp2;
|
||||
bS_Exp2 -= common_Exp2;
|
||||
hS_Exp2 -= common_Exp2;
|
||||
|
||||
BigInteger dS = d;
|
||||
dS.MultiplyPow5(static_cast<unsigned>(dS_Exp5)) <<= static_cast<unsigned>(dS_Exp2);
|
||||
|
||||
BigInteger bS(bInt);
|
||||
bS.MultiplyPow5(static_cast<unsigned>(bS_Exp5)) <<= static_cast<unsigned>(bS_Exp2);
|
||||
|
||||
BigInteger hS(1);
|
||||
hS.MultiplyPow5(static_cast<unsigned>(hS_Exp5)) <<= static_cast<unsigned>(hS_Exp2);
|
||||
|
||||
BigInteger delta(0);
|
||||
dS.Difference(bS, &delta);
|
||||
|
||||
return delta.Compare(hS);
|
||||
}
|
||||
|
||||
inline bool StrtodFast(double d, int p, double* result) {
|
||||
// Use fast path for string-to-double conversion if possible
|
||||
// see http://www.exploringbinary.com/fast-path-decimal-to-floating-point-conversion/
|
||||
if (p > 22 && p < 22 + 16) {
|
||||
// Fast Path Cases In Disguise
|
||||
d *= internal::Pow10(p - 22);
|
||||
p = 22;
|
||||
}
|
||||
|
||||
if (p >= -22 && p <= 22 && d <= 9007199254740991.0) { // 2^53 - 1
|
||||
*result = FastPath(d, p);
|
||||
return true;
|
||||
}
|
||||
else
|
||||
return false;
|
||||
}
|
||||
|
||||
// Compute an approximation and see if it is within 1/2 ULP
|
||||
inline bool StrtodDiyFp(const char* decimals, size_t length, size_t decimalPosition, int exp, double* result) {
|
||||
uint64_t significand = 0;
|
||||
size_t i = 0; // 2^64 - 1 = 18446744073709551615, 1844674407370955161 = 0x1999999999999999
|
||||
for (; i < length; i++) {
|
||||
if (significand > RAPIDJSON_UINT64_C2(0x19999999, 0x99999999) ||
|
||||
(significand == RAPIDJSON_UINT64_C2(0x19999999, 0x99999999) && decimals[i] > '5'))
|
||||
break;
|
||||
significand = significand * 10u + static_cast<unsigned>(decimals[i] - '0');
|
||||
}
|
||||
|
||||
if (i < length && decimals[i] >= '5') // Rounding
|
||||
significand++;
|
||||
|
||||
size_t remaining = length - i;
|
||||
const unsigned kUlpShift = 3;
|
||||
const unsigned kUlp = 1 << kUlpShift;
|
||||
int error = (remaining == 0) ? 0 : kUlp / 2;
|
||||
|
||||
DiyFp v(significand, 0);
|
||||
v = v.Normalize();
|
||||
error <<= -v.e;
|
||||
|
||||
const int dExp = static_cast<int>(decimalPosition) - static_cast<int>(i) + exp;
|
||||
|
||||
int actualExp;
|
||||
DiyFp cachedPower = GetCachedPower10(dExp, &actualExp);
|
||||
if (actualExp != dExp) {
|
||||
static const DiyFp kPow10[] = {
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0xa0000000, 00000000), -60), // 10^1
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0xc8000000, 00000000), -57), // 10^2
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0xfa000000, 00000000), -54), // 10^3
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0x9c400000, 00000000), -50), // 10^4
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0xc3500000, 00000000), -47), // 10^5
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0xf4240000, 00000000), -44), // 10^6
|
||||
DiyFp(RAPIDJSON_UINT64_C2(0x98968000, 00000000), -40) // 10^7
|
||||
};
|
||||
int adjustment = dExp - actualExp - 1;
|
||||
RAPIDJSON_ASSERT(adjustment >= 0 && adjustment < 7);
|
||||
v = v * kPow10[adjustment];
|
||||
if (length + static_cast<unsigned>(adjustment)> 19u) // has more digits than decimal digits in 64-bit
|
||||
error += kUlp / 2;
|
||||
}
|
||||
|
||||
v = v * cachedPower;
|
||||
|
||||
error += kUlp + (error == 0 ? 0 : 1);
|
||||
|
||||
const int oldExp = v.e;
|
||||
v = v.Normalize();
|
||||
error <<= oldExp - v.e;
|
||||
|
||||
const unsigned effectiveSignificandSize = Double::EffectiveSignificandSize(64 + v.e);
|
||||
unsigned precisionSize = 64 - effectiveSignificandSize;
|
||||
if (precisionSize + kUlpShift >= 64) {
|
||||
unsigned scaleExp = (precisionSize + kUlpShift) - 63;
|
||||
v.f >>= scaleExp;
|
||||
v.e += scaleExp;
|
||||
error = (error >> scaleExp) + 1 + static_cast<int>(kUlp);
|
||||
precisionSize -= scaleExp;
|
||||
}
|
||||
|
||||
DiyFp rounded(v.f >> precisionSize, v.e + static_cast<int>(precisionSize));
|
||||
const uint64_t precisionBits = (v.f & ((uint64_t(1) << precisionSize) - 1)) * kUlp;
|
||||
const uint64_t halfWay = (uint64_t(1) << (precisionSize - 1)) * kUlp;
|
||||
if (precisionBits >= halfWay + static_cast<unsigned>(error)) {
|
||||
rounded.f++;
|
||||
if (rounded.f & (DiyFp::kDpHiddenBit << 1)) { // rounding overflows mantissa (issue #340)
|
||||
rounded.f >>= 1;
|
||||
rounded.e++;
|
||||
}
|
||||
}
|
||||
|
||||
*result = rounded.ToDouble();
|
||||
|
||||
return halfWay - static_cast<unsigned>(error) >= precisionBits || precisionBits >= halfWay + static_cast<unsigned>(error);
|
||||
}
|
||||
|
||||
inline double StrtodBigInteger(double approx, const char* decimals, size_t length, size_t decimalPosition, int exp) {
|
||||
const BigInteger dInt(decimals, length);
|
||||
const int dExp = static_cast<int>(decimalPosition) - static_cast<int>(length) + exp;
|
||||
Double a(approx);
|
||||
int cmp = CheckWithinHalfULP(a.Value(), dInt, dExp);
|
||||
if (cmp < 0)
|
||||
return a.Value(); // within half ULP
|
||||
else if (cmp == 0) {
|
||||
// Round towards even
|
||||
if (a.Significand() & 1)
|
||||
return a.NextPositiveDouble();
|
||||
else
|
||||
return a.Value();
|
||||
}
|
||||
else // adjustment
|
||||
return a.NextPositiveDouble();
|
||||
}
|
||||
|
||||
inline double StrtodFullPrecision(double d, int p, const char* decimals, size_t length, size_t decimalPosition, int exp) {
|
||||
RAPIDJSON_ASSERT(d >= 0.0);
|
||||
RAPIDJSON_ASSERT(length >= 1);
|
||||
|
||||
double result;
|
||||
if (StrtodFast(d, p, &result))
|
||||
return result;
|
||||
|
||||
// Trim leading zeros
|
||||
while (*decimals == '0' && length > 1) {
|
||||
length--;
|
||||
decimals++;
|
||||
decimalPosition--;
|
||||
}
|
||||
|
||||
// Trim trailing zeros
|
||||
while (decimals[length - 1] == '0' && length > 1) {
|
||||
length--;
|
||||
decimalPosition--;
|
||||
exp++;
|
||||
}
|
||||
|
||||
// Trim right-most digits
|
||||
const int kMaxDecimalDigit = 780;
|
||||
if (static_cast<int>(length) > kMaxDecimalDigit) {
|
||||
int delta = (static_cast<int>(length) - kMaxDecimalDigit);
|
||||
exp += delta;
|
||||
decimalPosition -= static_cast<unsigned>(delta);
|
||||
length = kMaxDecimalDigit;
|
||||
}
|
||||
|
||||
// If too small, underflow to zero
|
||||
if (int(length) + exp < -324)
|
||||
return 0.0;
|
||||
|
||||
if (StrtodDiyFp(decimals, length, decimalPosition, exp, &result))
|
||||
return result;
|
||||
|
||||
// Use approximation from StrtodDiyFp and make adjustment with BigInteger comparison
|
||||
return StrtodBigInteger(result, decimals, length, decimalPosition, exp);
|
||||
}
|
||||
|
||||
} // namespace internal
|
||||
RAPIDJSON_NAMESPACE_END
|
||||
|
||||
#endif // RAPIDJSON_STRTOD_
|
@ -0,0 +1,37 @@
|
||||
// Tencent is pleased to support the open source community by making RapidJSON available.
|
||||
//
|
||||
// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved.
|
||||
//
|
||||
// Licensed under the MIT License (the "License"); you may not use this file except
|
||||
// in compliance with the License. You may obtain a copy of the License at
|
||||
//
|
||||
// http://opensource.org/licenses/MIT
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software distributed
|
||||
// under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
|
||||
// CONDITIONS OF ANY KIND, either express or implied. See the License for the
|
||||
// specific language governing permissions and limitations under the License.
|
||||
|
||||
#ifndef RAPIDJSON_INTERNAL_SWAP_H_
|
||||
#define RAPIDJSON_INTERNAL_SWAP_H_
|
||||
|
||||
#include "../rapidjson.h"
|
||||
|
||||
RAPIDJSON_NAMESPACE_BEGIN
|
||||
namespace internal {
|
||||
|
||||
//! Custom swap() to avoid dependency on C++ <algorithm> header
|
||||
/*! \tparam T Type of the arguments to swap, should be instantiated with primitive C++ types only.
|
||||
\note This has the same semantics as std::swap().
|
||||
*/
|
||||
template <typename T>
|
||||
inline void Swap(T& a, T& b) RAPIDJSON_NOEXCEPT {
|
||||
T tmp = a;
|
||||
a = b;
|
||||
b = tmp;
|
||||
}
|
||||
|
||||
} // namespace internal
|
||||
RAPIDJSON_NAMESPACE_END
|
||||
|
||||
#endif // RAPIDJSON_INTERNAL_SWAP_H_
|
File diff suppressed because it is too large
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Reference in new issue