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// Vendored from git tag v2021.02.15.00
/*
* Copyright (c) Facebook, Inc. and its affiliates.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* 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.
*/
// @author Bo Hu (bhu@fb.com)
// @author Jordan DeLong (delong.j@fb.com)
// This file has been modified as part of Apache Arrow to conform to
// Apache Arrow's coding conventions
#pragma once
#include <atomic>
#include <cassert>
#include <cstdlib>
#include <memory>
#include <stdexcept>
#include <type_traits>
#include <utility>
namespace arrow_vendored {
namespace folly {
// Vendored from folly/Portability.h
namespace {
#if defined(__arm__)
#define FOLLY_ARM 1
#else
#define FOLLY_ARM 0
#endif
#if defined(__s390x__)
#define FOLLY_S390X 1
#else
#define FOLLY_S390X 0
#endif
constexpr bool kIsArchArm = FOLLY_ARM == 1;
constexpr bool kIsArchS390X = FOLLY_S390X == 1;
} // namespace
// Vendored from folly/lang/Align.h
namespace {
constexpr std::size_t hardware_destructive_interference_size =
(kIsArchArm || kIsArchS390X) ? 64 : 128;
} // namespace
/*
* ProducerConsumerQueue is a one producer and one consumer queue
* without locks.
*/
template <class T>
struct ProducerConsumerQueue {
typedef T value_type;
ProducerConsumerQueue(const ProducerConsumerQueue&) = delete;
ProducerConsumerQueue& operator=(const ProducerConsumerQueue&) = delete;
// size must be >= 2.
//
// Also, note that the number of usable slots in the queue at any
// given time is actually (size-1), so if you start with an empty queue,
// IsFull() will return true after size-1 insertions.
explicit ProducerConsumerQueue(uint32_t size)
: size_(size),
records_(static_cast<T*>(std::malloc(sizeof(T) * size))),
readIndex_(0),
writeIndex_(0) {
assert(size >= 2);
if (!records_) {
throw std::bad_alloc();
}
}
~ProducerConsumerQueue() {
// We need to destruct anything that may still exist in our queue.
// (No real synchronization needed at destructor time: only one
// thread can be doing this.)
if (!std::is_trivially_destructible<T>::value) {
size_t readIndex = readIndex_;
size_t endIndex = writeIndex_;
while (readIndex != endIndex) {
records_[readIndex].~T();
if (++readIndex == size_) {
readIndex = 0;
}
}
}
std::free(records_);
}
template <class... Args>
bool Write(Args&&... recordArgs) {
auto const currentWrite = writeIndex_.load(std::memory_order_relaxed);
auto nextRecord = currentWrite + 1;
if (nextRecord == size_) {
nextRecord = 0;
}
if (nextRecord != readIndex_.load(std::memory_order_acquire)) {
new (&records_[currentWrite]) T(std::forward<Args>(recordArgs)...);
writeIndex_.store(nextRecord, std::memory_order_release);
return true;
}
// queue is full
return false;
}
// move the value at the front of the queue to given variable
bool Read(T& record) {
auto const currentRead = readIndex_.load(std::memory_order_relaxed);
if (currentRead == writeIndex_.load(std::memory_order_acquire)) {
// queue is empty
return false;
}
auto nextRecord = currentRead + 1;
if (nextRecord == size_) {
nextRecord = 0;
}
record = std::move(records_[currentRead]);
records_[currentRead].~T();
readIndex_.store(nextRecord, std::memory_order_release);
return true;
}
// pointer to the value at the front of the queue (for use in-place) or
// nullptr if empty.
T* FrontPtr() {
auto const currentRead = readIndex_.load(std::memory_order_relaxed);
if (currentRead == writeIndex_.load(std::memory_order_acquire)) {
// queue is empty
return nullptr;
}
return &records_[currentRead];
}
// queue must not be empty
void PopFront() {
auto const currentRead = readIndex_.load(std::memory_order_relaxed);
assert(currentRead != writeIndex_.load(std::memory_order_acquire));
auto nextRecord = currentRead + 1;
if (nextRecord == size_) {
nextRecord = 0;
}
records_[currentRead].~T();
readIndex_.store(nextRecord, std::memory_order_release);
}
bool IsEmpty() const {
return readIndex_.load(std::memory_order_acquire) ==
writeIndex_.load(std::memory_order_acquire);
}
bool IsFull() const {
auto nextRecord = writeIndex_.load(std::memory_order_acquire) + 1;
if (nextRecord == size_) {
nextRecord = 0;
}
if (nextRecord != readIndex_.load(std::memory_order_acquire)) {
return false;
}
// queue is full
return true;
}
// * If called by consumer, then true size may be more (because producer may
// be adding items concurrently).
// * If called by producer, then true size may be less (because consumer may
// be removing items concurrently).
// * It is undefined to call this from any other thread.
size_t SizeGuess() const {
int ret = writeIndex_.load(std::memory_order_acquire) -
readIndex_.load(std::memory_order_acquire);
if (ret < 0) {
ret += size_;
}
return ret;
}
// maximum number of items in the queue.
size_t capacity() const { return size_ - 1; }
private:
using AtomicIndex = std::atomic<unsigned int>;
char pad0_[hardware_destructive_interference_size];
const uint32_t size_;
T* const records_;
AtomicIndex readIndex_;
char pad1_[hardware_destructive_interference_size - sizeof(AtomicIndex)];
AtomicIndex writeIndex_;
char pad2_[hardware_destructive_interference_size - sizeof(AtomicIndex)];
};
} // namespace folly
} // namespace arrow_vendored

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// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements. See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership. The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License. You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// 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.
#pragma once
#include "arrow/vendored/datetime/date.h" // IWYU pragma: export
#include "arrow/vendored/datetime/tz.h" // IWYU pragma: export
// Can be defined by date.h.
#ifdef NOEXCEPT
#undef NOEXCEPT
#endif

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//
// ios.h
// DateTimeLib
//
// The MIT License (MIT)
//
// Copyright (c) 2016 Alexander Kormanovsky
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef ios_hpp
#define ios_hpp
#if __APPLE__
# include <TargetConditionals.h>
# if TARGET_OS_IPHONE
# include <string>
namespace arrow_vendored
{
namespace date
{
namespace iOSUtils
{
std::string get_tzdata_path();
std::string get_current_timezone();
} // namespace iOSUtils
} // namespace date
} // namespace arrow_vendored
# endif // TARGET_OS_IPHONE
#else // !__APPLE__
# define TARGET_OS_IPHONE 0
#endif // !__APPLE__
#endif // ios_hpp

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#ifndef TZ_PRIVATE_H
#define TZ_PRIVATE_H
// The MIT License (MIT)
//
// Copyright (c) 2015, 2016 Howard Hinnant
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// Our apologies. When the previous paragraph was written, lowercase had not yet
// been invented (that would involve another several millennia of evolution).
// We did not mean to shout.
#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
#include "tz.h"
#else
#include "date.h"
#include <vector>
#endif
namespace arrow_vendored
{
namespace date
{
namespace detail
{
#if !USE_OS_TZDB
enum class tz {utc, local, standard};
//forward declare to avoid warnings in gcc 6.2
class MonthDayTime;
std::istream& operator>>(std::istream& is, MonthDayTime& x);
std::ostream& operator<<(std::ostream& os, const MonthDayTime& x);
class MonthDayTime
{
private:
struct pair
{
#if defined(_MSC_VER) && (_MSC_VER < 1900)
pair() : month_day_(date::jan / 1), weekday_(0U) {}
pair(const date::month_day& month_day, const date::weekday& weekday)
: month_day_(month_day), weekday_(weekday) {}
#endif
date::month_day month_day_;
date::weekday weekday_;
};
enum Type {month_day, month_last_dow, lteq, gteq};
Type type_{month_day};
#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
union U
#else
struct U
#endif
{
date::month_day month_day_;
date::month_weekday_last month_weekday_last_;
pair month_day_weekday_;
#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
U() : month_day_{date::jan/1} {}
#else
U() :
month_day_(date::jan/1),
month_weekday_last_(date::month(0U), date::weekday_last(date::weekday(0U)))
{}
#endif // !defined(_MSC_VER) || (_MSC_VER >= 1900)
U& operator=(const date::month_day& x);
U& operator=(const date::month_weekday_last& x);
U& operator=(const pair& x);
} u;
std::chrono::hours h_{0};
std::chrono::minutes m_{0};
std::chrono::seconds s_{0};
tz zone_{tz::local};
public:
MonthDayTime() = default;
MonthDayTime(local_seconds tp, tz timezone);
MonthDayTime(const date::month_day& md, tz timezone);
date::day day() const;
date::month month() const;
tz zone() const {return zone_;}
void canonicalize(date::year y);
sys_seconds
to_sys(date::year y, std::chrono::seconds offset, std::chrono::seconds save) const;
sys_days to_sys_days(date::year y) const;
sys_seconds to_time_point(date::year y) const;
int compare(date::year y, const MonthDayTime& x, date::year yx,
std::chrono::seconds offset, std::chrono::minutes prev_save) const;
friend std::istream& operator>>(std::istream& is, MonthDayTime& x);
friend std::ostream& operator<<(std::ostream& os, const MonthDayTime& x);
};
// A Rule specifies one or more set of datetimes without using an offset.
// Multiple dates are specified with multiple years. The years in effect
// go from starting_year_ to ending_year_, inclusive. starting_year_ <=
// ending_year_. save_ is in effect for times from the specified time
// onward, including the specified time. When the specified time is
// local, it uses the save_ from the chronologically previous Rule, or if
// there is none, 0.
//forward declare to avoid warnings in gcc 6.2
class Rule;
bool operator==(const Rule& x, const Rule& y);
bool operator<(const Rule& x, const Rule& y);
bool operator==(const Rule& x, const date::year& y);
bool operator<(const Rule& x, const date::year& y);
bool operator==(const date::year& x, const Rule& y);
bool operator<(const date::year& x, const Rule& y);
bool operator==(const Rule& x, const std::string& y);
bool operator<(const Rule& x, const std::string& y);
bool operator==(const std::string& x, const Rule& y);
bool operator<(const std::string& x, const Rule& y);
std::ostream& operator<<(std::ostream& os, const Rule& r);
class Rule
{
private:
std::string name_;
date::year starting_year_{0};
date::year ending_year_{0};
MonthDayTime starting_at_;
std::chrono::minutes save_{0};
std::string abbrev_;
public:
Rule() = default;
explicit Rule(const std::string& s);
Rule(const Rule& r, date::year starting_year, date::year ending_year);
const std::string& name() const {return name_;}
const std::string& abbrev() const {return abbrev_;}
const MonthDayTime& mdt() const {return starting_at_;}
const date::year& starting_year() const {return starting_year_;}
const date::year& ending_year() const {return ending_year_;}
const std::chrono::minutes& save() const {return save_;}
static void split_overlaps(std::vector<Rule>& rules);
friend bool operator==(const Rule& x, const Rule& y);
friend bool operator<(const Rule& x, const Rule& y);
friend bool operator==(const Rule& x, const date::year& y);
friend bool operator<(const Rule& x, const date::year& y);
friend bool operator==(const date::year& x, const Rule& y);
friend bool operator<(const date::year& x, const Rule& y);
friend bool operator==(const Rule& x, const std::string& y);
friend bool operator<(const Rule& x, const std::string& y);
friend bool operator==(const std::string& x, const Rule& y);
friend bool operator<(const std::string& x, const Rule& y);
friend std::ostream& operator<<(std::ostream& os, const Rule& r);
private:
date::day day() const;
date::month month() const;
static void split_overlaps(std::vector<Rule>& rules, std::size_t i, std::size_t& e);
static bool overlaps(const Rule& x, const Rule& y);
static void split(std::vector<Rule>& rules, std::size_t i, std::size_t k,
std::size_t& e);
};
inline bool operator!=(const Rule& x, const Rule& y) {return !(x == y);}
inline bool operator> (const Rule& x, const Rule& y) {return y < x;}
inline bool operator<=(const Rule& x, const Rule& y) {return !(y < x);}
inline bool operator>=(const Rule& x, const Rule& y) {return !(x < y);}
inline bool operator!=(const Rule& x, const date::year& y) {return !(x == y);}
inline bool operator> (const Rule& x, const date::year& y) {return y < x;}
inline bool operator<=(const Rule& x, const date::year& y) {return !(y < x);}
inline bool operator>=(const Rule& x, const date::year& y) {return !(x < y);}
inline bool operator!=(const date::year& x, const Rule& y) {return !(x == y);}
inline bool operator> (const date::year& x, const Rule& y) {return y < x;}
inline bool operator<=(const date::year& x, const Rule& y) {return !(y < x);}
inline bool operator>=(const date::year& x, const Rule& y) {return !(x < y);}
inline bool operator!=(const Rule& x, const std::string& y) {return !(x == y);}
inline bool operator> (const Rule& x, const std::string& y) {return y < x;}
inline bool operator<=(const Rule& x, const std::string& y) {return !(y < x);}
inline bool operator>=(const Rule& x, const std::string& y) {return !(x < y);}
inline bool operator!=(const std::string& x, const Rule& y) {return !(x == y);}
inline bool operator> (const std::string& x, const Rule& y) {return y < x;}
inline bool operator<=(const std::string& x, const Rule& y) {return !(y < x);}
inline bool operator>=(const std::string& x, const Rule& y) {return !(x < y);}
struct zonelet
{
enum tag {has_rule, has_save, is_empty};
std::chrono::seconds gmtoff_;
tag tag_ = has_rule;
#if !defined(_MSC_VER) || (_MSC_VER >= 1900)
union U
#else
struct U
#endif
{
std::string rule_;
std::chrono::minutes save_;
~U() {}
U() {}
U(const U&) {}
U& operator=(const U&) = delete;
} u;
std::string format_;
date::year until_year_{0};
MonthDayTime until_date_;
sys_seconds until_utc_;
local_seconds until_std_;
local_seconds until_loc_;
std::chrono::minutes initial_save_{0};
std::string initial_abbrev_;
std::pair<const Rule*, date::year> first_rule_{nullptr, date::year::min()};
std::pair<const Rule*, date::year> last_rule_{nullptr, date::year::max()};
~zonelet();
zonelet();
zonelet(const zonelet& i);
zonelet& operator=(const zonelet&) = delete;
};
#else // USE_OS_TZDB
struct ttinfo
{
std::int32_t tt_gmtoff;
unsigned char tt_isdst;
unsigned char tt_abbrind;
unsigned char pad[2];
};
static_assert(sizeof(ttinfo) == 8, "");
struct expanded_ttinfo
{
std::chrono::seconds offset;
std::string abbrev;
bool is_dst;
};
struct transition
{
sys_seconds timepoint;
const expanded_ttinfo* info;
transition(sys_seconds tp, const expanded_ttinfo* i = nullptr)
: timepoint(tp)
, info(i)
{}
friend
std::ostream&
operator<<(std::ostream& os, const transition& t)
{
using date::operator<<;
os << t.timepoint << "Z ";
if (t.info->offset >= std::chrono::seconds{0})
os << '+';
os << make_time(t.info->offset);
if (t.info->is_dst > 0)
os << " daylight ";
else
os << " standard ";
os << t.info->abbrev;
return os;
}
};
#endif // USE_OS_TZDB
} // namespace detail
} // namespace date
} // namespace arrow_vendored
#if defined(_MSC_VER) && (_MSC_VER < 1900)
#include "tz.h"
#endif
#endif // TZ_PRIVATE_H

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// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements. See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership. The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License. You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// 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.
#pragma once
#if defined(ARROW_STATIC)
// intentially empty
#elif defined(ARROW_EXPORTING)
#define DATE_BUILD_DLL
#else
#define DATE_USE_DLL
#endif

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_BIGNUM_DTOA_H_
#define DOUBLE_CONVERSION_BIGNUM_DTOA_H_
#include "utils.h"
namespace double_conversion {
enum BignumDtoaMode {
// Return the shortest correct representation.
// For example the output of 0.299999999999999988897 is (the less accurate but
// correct) 0.3.
BIGNUM_DTOA_SHORTEST,
// Same as BIGNUM_DTOA_SHORTEST but for single-precision floats.
BIGNUM_DTOA_SHORTEST_SINGLE,
// Return a fixed number of digits after the decimal point.
// For instance fixed(0.1, 4) becomes 0.1000
// If the input number is big, the output will be big.
BIGNUM_DTOA_FIXED,
// Return a fixed number of digits, no matter what the exponent is.
BIGNUM_DTOA_PRECISION
};
// Converts the given double 'v' to ascii.
// The result should be interpreted as buffer * 10^(point-length).
// The buffer will be null-terminated.
//
// The input v must be > 0 and different from NaN, and Infinity.
//
// The output depends on the given mode:
// - SHORTEST: produce the least amount of digits for which the internal
// identity requirement is still satisfied. If the digits are printed
// (together with the correct exponent) then reading this number will give
// 'v' again. The buffer will choose the representation that is closest to
// 'v'. If there are two at the same distance, than the number is round up.
// In this mode the 'requested_digits' parameter is ignored.
// - FIXED: produces digits necessary to print a given number with
// 'requested_digits' digits after the decimal point. The produced digits
// might be too short in which case the caller has to fill the gaps with '0's.
// Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2.
// Halfway cases are rounded up. The call toFixed(0.15, 2) thus returns
// buffer="2", point=0.
// Note: the length of the returned buffer has no meaning wrt the significance
// of its digits. That is, just because it contains '0's does not mean that
// any other digit would not satisfy the internal identity requirement.
// - PRECISION: produces 'requested_digits' where the first digit is not '0'.
// Even though the length of produced digits usually equals
// 'requested_digits', the function is allowed to return fewer digits, in
// which case the caller has to fill the missing digits with '0's.
// Halfway cases are again rounded up.
// 'BignumDtoa' expects the given buffer to be big enough to hold all digits
// and a terminating null-character.
void BignumDtoa(double v, BignumDtoaMode mode, int requested_digits,
Vector<char> buffer, int* length, int* point);
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_BIGNUM_DTOA_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_BIGNUM_H_
#define DOUBLE_CONVERSION_BIGNUM_H_
#include "utils.h"
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 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_;
DC_DISALLOW_COPY_AND_ASSIGN(Bignum);
};
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_BIGNUM_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_CACHED_POWERS_H_
#define DOUBLE_CONVERSION_CACHED_POWERS_H_
#include "diy-fp.h"
namespace double_conversion {
class PowersOfTenCache {
public:
// Not all powers of ten are cached. The decimal exponent of two neighboring
// cached numbers will differ by kDecimalExponentDistance.
static const int kDecimalExponentDistance;
static const int kMinDecimalExponent;
static const int kMaxDecimalExponent;
// Returns a cached power-of-ten with a binary exponent in the range
// [min_exponent; max_exponent] (boundaries included).
static void GetCachedPowerForBinaryExponentRange(int min_exponent,
int max_exponent,
DiyFp* power,
int* decimal_exponent);
// Returns a cached power of ten x ~= 10^k such that
// k <= decimal_exponent < k + kCachedPowersDecimalDistance.
// The given decimal_exponent must satisfy
// kMinDecimalExponent <= requested_exponent, and
// requested_exponent < kMaxDecimalExponent + kDecimalExponentDistance.
static void GetCachedPowerForDecimalExponent(int requested_exponent,
DiyFp* power,
int* found_exponent);
};
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_CACHED_POWERS_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_DIY_FP_H_
#define DOUBLE_CONVERSION_DIY_FP_H_
#include "utils.h"
namespace double_conversion {
// This "Do It Yourself Floating Point" class implements a floating-point number
// with a uint64 significand and an int exponent. Normalized DiyFp numbers will
// have the most significant bit of the significand set.
// Multiplication and Subtraction do not normalize their results.
// DiyFp are not designed to contain special doubles (NaN and Infinity).
class DiyFp {
public:
static const int kSignificandSize = 64;
DiyFp() : f_(0), e_(0) {}
DiyFp(uint64_t significand, int exponent) : f_(significand), e_(exponent) {}
// this = this - other.
// The exponents of both numbers must be the same and the significand of this
// must be bigger than the significand of other.
// The result will not be normalized.
void Subtract(const DiyFp& other) {
ASSERT(e_ == other.e_);
ASSERT(f_ >= other.f_);
f_ -= other.f_;
}
// Returns a - b.
// The exponents of both numbers must be the same and this must be bigger
// than other. The result will not be normalized.
static DiyFp Minus(const DiyFp& a, const DiyFp& b) {
DiyFp result = a;
result.Subtract(b);
return result;
}
// this = this * other.
void Multiply(const DiyFp& other);
// returns a * b;
static DiyFp Times(const DiyFp& a, const DiyFp& b) {
DiyFp result = a;
result.Multiply(b);
return result;
}
void Normalize() {
ASSERT(f_ != 0);
uint64_t significand = f_;
int exponent = e_;
// This method is mainly called for normalizing boundaries. In general
// boundaries need to be shifted by 10 bits. We thus optimize for this case.
const uint64_t k10MSBits = UINT64_2PART_C(0xFFC00000, 00000000);
while ((significand & k10MSBits) == 0) {
significand <<= 10;
exponent -= 10;
}
while ((significand & kUint64MSB) == 0) {
significand <<= 1;
exponent--;
}
f_ = significand;
e_ = exponent;
}
static DiyFp Normalize(const DiyFp& a) {
DiyFp result = a;
result.Normalize();
return result;
}
uint64_t f() const { return f_; }
int e() const { return e_; }
void set_f(uint64_t new_value) { f_ = new_value; }
void set_e(int new_value) { e_ = new_value; }
private:
static const uint64_t kUint64MSB = UINT64_2PART_C(0x80000000, 00000000);
uint64_t f_;
int e_;
};
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_DIY_FP_H_

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// Copyright 2012 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_
#define DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_
#include "utils.h"
namespace double_conversion {
class DoubleToStringConverter {
public:
// When calling ToFixed with a double > 10^kMaxFixedDigitsBeforePoint
// or a requested_digits parameter > kMaxFixedDigitsAfterPoint then the
// function returns false.
static const int kMaxFixedDigitsBeforePoint = 60;
static const int kMaxFixedDigitsAfterPoint = 60;
// When calling ToExponential with a requested_digits
// parameter > kMaxExponentialDigits then the function returns false.
static const int kMaxExponentialDigits = 120;
// When calling ToPrecision with a requested_digits
// parameter < kMinPrecisionDigits or requested_digits > kMaxPrecisionDigits
// then the function returns false.
static const int kMinPrecisionDigits = 1;
static const int kMaxPrecisionDigits = 120;
enum Flags {
NO_FLAGS = 0,
EMIT_POSITIVE_EXPONENT_SIGN = 1,
EMIT_TRAILING_DECIMAL_POINT = 2,
EMIT_TRAILING_ZERO_AFTER_POINT = 4,
UNIQUE_ZERO = 8
};
// Flags should be a bit-or combination of the possible Flags-enum.
// - NO_FLAGS: no special flags.
// - EMIT_POSITIVE_EXPONENT_SIGN: when the number is converted into exponent
// form, emits a '+' for positive exponents. Example: 1.2e+2.
// - EMIT_TRAILING_DECIMAL_POINT: when the input number is an integer and is
// converted into decimal format then a trailing decimal point is appended.
// Example: 2345.0 is converted to "2345.".
// - EMIT_TRAILING_ZERO_AFTER_POINT: in addition to a trailing decimal point
// emits a trailing '0'-character. This flag requires the
// EXMIT_TRAILING_DECIMAL_POINT flag.
// Example: 2345.0 is converted to "2345.0".
// - UNIQUE_ZERO: "-0.0" is converted to "0.0".
//
// Infinity symbol and nan_symbol provide the string representation for these
// special values. If the string is NULL and the special value is encountered
// then the conversion functions return false.
//
// The exponent_character is used in exponential representations. It is
// usually 'e' or 'E'.
//
// When converting to the shortest representation the converter will
// represent input numbers in decimal format if they are in the interval
// [10^decimal_in_shortest_low; 10^decimal_in_shortest_high[
// (lower boundary included, greater boundary excluded).
// Example: with decimal_in_shortest_low = -6 and
// decimal_in_shortest_high = 21:
// ToShortest(0.000001) -> "0.000001"
// ToShortest(0.0000001) -> "1e-7"
// ToShortest(111111111111111111111.0) -> "111111111111111110000"
// ToShortest(100000000000000000000.0) -> "100000000000000000000"
// ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21"
//
// When converting to precision mode the converter may add
// max_leading_padding_zeroes before returning the number in exponential
// format.
// Example with max_leading_padding_zeroes_in_precision_mode = 6.
// ToPrecision(0.0000012345, 2) -> "0.0000012"
// ToPrecision(0.00000012345, 2) -> "1.2e-7"
// Similarily the converter may add up to
// max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid
// returning an exponential representation. A zero added by the
// EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit.
// Examples for max_trailing_padding_zeroes_in_precision_mode = 1:
// ToPrecision(230.0, 2) -> "230"
// ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT.
// ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT.
//
// When converting numbers to scientific notation representation, if the mantissa of
// the representation is an integer number, the EMIT_TRAILING_DECIMAL_POINT flag will
// add a '.' character at the end of the representation:
// - With EMIT_TRAILING_DECIMAL_POINT enabled -> 0.0009 => 9.E-4
// - With EMIT_TRAILING_DECIMAL_POINT disabled -> 0.0009 => 9E-4
//
// If the mantissa is an integer and the EMIT_TRAILING_ZERO_AFTER_POINT flag is enabled
// it will add a '0' character at the end of the mantissa representation. Note that that
// flag depends on EMIT_TRAILING_DECIMAL_POINT flag be enabled.
// - With EMIT_TRAILING_ZERO_AFTER_POINT enabled -> 0.0009 => 9.0E-4
DoubleToStringConverter(int flags,
const char* infinity_symbol,
const char* nan_symbol,
char exponent_character,
int decimal_in_shortest_low,
int decimal_in_shortest_high,
int max_leading_padding_zeroes_in_precision_mode,
int max_trailing_padding_zeroes_in_precision_mode)
: flags_(flags),
infinity_symbol_(infinity_symbol),
nan_symbol_(nan_symbol),
exponent_character_(exponent_character),
decimal_in_shortest_low_(decimal_in_shortest_low),
decimal_in_shortest_high_(decimal_in_shortest_high),
max_leading_padding_zeroes_in_precision_mode_(
max_leading_padding_zeroes_in_precision_mode),
max_trailing_padding_zeroes_in_precision_mode_(
max_trailing_padding_zeroes_in_precision_mode) {
// When 'trailing zero after the point' is set, then 'trailing point'
// must be set too.
ASSERT(((flags & EMIT_TRAILING_DECIMAL_POINT) != 0) ||
!((flags & EMIT_TRAILING_ZERO_AFTER_POINT) != 0));
}
// Returns a converter following the EcmaScript specification.
static const DoubleToStringConverter& EcmaScriptConverter();
// Computes the shortest string of digits that correctly represent the input
// number. Depending on decimal_in_shortest_low and decimal_in_shortest_high
// (see constructor) it then either returns a decimal representation, or an
// exponential representation.
// Example with decimal_in_shortest_low = -6,
// decimal_in_shortest_high = 21,
// EMIT_POSITIVE_EXPONENT_SIGN activated, and
// EMIT_TRAILING_DECIMAL_POINT deactived:
// ToShortest(0.000001) -> "0.000001"
// ToShortest(0.0000001) -> "1e-7"
// ToShortest(111111111111111111111.0) -> "111111111111111110000"
// ToShortest(100000000000000000000.0) -> "100000000000000000000"
// ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21"
//
// Note: the conversion may round the output if the returned string
// is accurate enough to uniquely identify the input-number.
// For example the most precise representation of the double 9e59 equals
// "899999999999999918767229449717619953810131273674690656206848", but
// the converter will return the shorter (but still correct) "9e59".
//
// Returns true if the conversion succeeds. The conversion always succeeds
// except when the input value is special and no infinity_symbol or
// nan_symbol has been given to the constructor.
bool ToShortest(double value, StringBuilder* result_builder) const {
return ToShortestIeeeNumber(value, result_builder, SHORTEST);
}
// Same as ToShortest, but for single-precision floats.
bool ToShortestSingle(float value, StringBuilder* result_builder) const {
return ToShortestIeeeNumber(value, result_builder, SHORTEST_SINGLE);
}
// Computes a decimal representation with a fixed number of digits after the
// decimal point. The last emitted digit is rounded.
//
// Examples:
// ToFixed(3.12, 1) -> "3.1"
// ToFixed(3.1415, 3) -> "3.142"
// ToFixed(1234.56789, 4) -> "1234.5679"
// ToFixed(1.23, 5) -> "1.23000"
// ToFixed(0.1, 4) -> "0.1000"
// ToFixed(1e30, 2) -> "1000000000000000019884624838656.00"
// ToFixed(0.1, 30) -> "0.100000000000000005551115123126"
// ToFixed(0.1, 17) -> "0.10000000000000001"
//
// If requested_digits equals 0, then the tail of the result depends on
// the EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT.
// Examples, for requested_digits == 0,
// let EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT be
// - false and false: then 123.45 -> 123
// 0.678 -> 1
// - true and false: then 123.45 -> 123.
// 0.678 -> 1.
// - true and true: then 123.45 -> 123.0
// 0.678 -> 1.0
//
// Returns true if the conversion succeeds. The conversion always succeeds
// except for the following cases:
// - the input value is special and no infinity_symbol or nan_symbol has
// been provided to the constructor,
// - 'value' > 10^kMaxFixedDigitsBeforePoint, or
// - 'requested_digits' > kMaxFixedDigitsAfterPoint.
// The last two conditions imply that the result will never contain more than
// 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint characters
// (one additional character for the sign, and one for the decimal point).
bool ToFixed(double value,
int requested_digits,
StringBuilder* result_builder) const;
// Computes a representation in exponential format with requested_digits
// after the decimal point. The last emitted digit is rounded.
// If requested_digits equals -1, then the shortest exponential representation
// is computed.
//
// Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and
// exponent_character set to 'e'.
// ToExponential(3.12, 1) -> "3.1e0"
// ToExponential(5.0, 3) -> "5.000e0"
// ToExponential(0.001, 2) -> "1.00e-3"
// ToExponential(3.1415, -1) -> "3.1415e0"
// ToExponential(3.1415, 4) -> "3.1415e0"
// ToExponential(3.1415, 3) -> "3.142e0"
// ToExponential(123456789000000, 3) -> "1.235e14"
// ToExponential(1000000000000000019884624838656.0, -1) -> "1e30"
// ToExponential(1000000000000000019884624838656.0, 32) ->
// "1.00000000000000001988462483865600e30"
// ToExponential(1234, 0) -> "1e3"
//
// Returns true if the conversion succeeds. The conversion always succeeds
// except for the following cases:
// - the input value is special and no infinity_symbol or nan_symbol has
// been provided to the constructor,
// - 'requested_digits' > kMaxExponentialDigits.
// The last condition implies that the result will never contain more than
// kMaxExponentialDigits + 8 characters (the sign, the digit before the
// decimal point, the decimal point, the exponent character, the
// exponent's sign, and at most 3 exponent digits).
bool ToExponential(double value,
int requested_digits,
StringBuilder* result_builder) const;
// Computes 'precision' leading digits of the given 'value' and returns them
// either in exponential or decimal format, depending on
// max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the
// constructor).
// The last computed digit is rounded.
//
// Example with max_leading_padding_zeroes_in_precision_mode = 6.
// ToPrecision(0.0000012345, 2) -> "0.0000012"
// ToPrecision(0.00000012345, 2) -> "1.2e-7"
// Similarily the converter may add up to
// max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid
// returning an exponential representation. A zero added by the
// EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit.
// Examples for max_trailing_padding_zeroes_in_precision_mode = 1:
// ToPrecision(230.0, 2) -> "230"
// ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT.
// ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT.
// Examples for max_trailing_padding_zeroes_in_precision_mode = 3, and no
// EMIT_TRAILING_ZERO_AFTER_POINT:
// ToPrecision(123450.0, 6) -> "123450"
// ToPrecision(123450.0, 5) -> "123450"
// ToPrecision(123450.0, 4) -> "123500"
// ToPrecision(123450.0, 3) -> "123000"
// ToPrecision(123450.0, 2) -> "1.2e5"
//
// Returns true if the conversion succeeds. The conversion always succeeds
// except for the following cases:
// - the input value is special and no infinity_symbol or nan_symbol has
// been provided to the constructor,
// - precision < kMinPericisionDigits
// - precision > kMaxPrecisionDigits
// The last condition implies that the result will never contain more than
// kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the
// exponent character, the exponent's sign, and at most 3 exponent digits).
bool ToPrecision(double value,
int precision,
StringBuilder* result_builder) const;
enum DtoaMode {
// Produce the shortest correct representation.
// For example the output of 0.299999999999999988897 is (the less accurate
// but correct) 0.3.
SHORTEST,
// Same as SHORTEST, but for single-precision floats.
SHORTEST_SINGLE,
// Produce a fixed number of digits after the decimal point.
// For instance fixed(0.1, 4) becomes 0.1000
// If the input number is big, the output will be big.
FIXED,
// Fixed number of digits (independent of the decimal point).
PRECISION
};
// The maximal number of digits that are needed to emit a double in base 10.
// A higher precision can be achieved by using more digits, but the shortest
// accurate representation of any double will never use more digits than
// kBase10MaximalLength.
// Note that DoubleToAscii null-terminates its input. So the given buffer
// should be at least kBase10MaximalLength + 1 characters long.
static const int kBase10MaximalLength = 17;
// Converts the given double 'v' to digit characters. 'v' must not be NaN,
// +Infinity, or -Infinity. In SHORTEST_SINGLE-mode this restriction also
// applies to 'v' after it has been casted to a single-precision float. That
// is, in this mode static_cast<float>(v) must not be NaN, +Infinity or
// -Infinity.
//
// The result should be interpreted as buffer * 10^(point-length).
//
// The digits are written to the buffer in the platform's charset, which is
// often UTF-8 (with ASCII-range digits) but may be another charset, such
// as EBCDIC.
//
// The output depends on the given mode:
// - SHORTEST: produce the least amount of digits for which the internal
// identity requirement is still satisfied. If the digits are printed
// (together with the correct exponent) then reading this number will give
// 'v' again. The buffer will choose the representation that is closest to
// 'v'. If there are two at the same distance, than the one farther away
// from 0 is chosen (halfway cases - ending with 5 - are rounded up).
// In this mode the 'requested_digits' parameter is ignored.
// - SHORTEST_SINGLE: same as SHORTEST but with single-precision.
// - FIXED: produces digits necessary to print a given number with
// 'requested_digits' digits after the decimal point. The produced digits
// might be too short in which case the caller has to fill the remainder
// with '0's.
// Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2.
// Halfway cases are rounded towards +/-Infinity (away from 0). The call
// toFixed(0.15, 2) thus returns buffer="2", point=0.
// The returned buffer may contain digits that would be truncated from the
// shortest representation of the input.
// - PRECISION: produces 'requested_digits' where the first digit is not '0'.
// Even though the length of produced digits usually equals
// 'requested_digits', the function is allowed to return fewer digits, in
// which case the caller has to fill the missing digits with '0's.
// Halfway cases are again rounded away from 0.
// DoubleToAscii expects the given buffer to be big enough to hold all
// digits and a terminating null-character. In SHORTEST-mode it expects a
// buffer of at least kBase10MaximalLength + 1. In all other modes the
// requested_digits parameter and the padding-zeroes limit the size of the
// output. Don't forget the decimal point, the exponent character and the
// terminating null-character when computing the maximal output size.
// The given length is only used in debug mode to ensure the buffer is big
// enough.
static void DoubleToAscii(double v,
DtoaMode mode,
int requested_digits,
char* buffer,
int buffer_length,
bool* sign,
int* length,
int* point);
private:
// Implementation for ToShortest and ToShortestSingle.
bool ToShortestIeeeNumber(double value,
StringBuilder* result_builder,
DtoaMode mode) const;
// If the value is a special value (NaN or Infinity) constructs the
// corresponding string using the configured infinity/nan-symbol.
// If either of them is NULL or the value is not special then the
// function returns false.
bool HandleSpecialValues(double value, StringBuilder* result_builder) const;
// Constructs an exponential representation (i.e. 1.234e56).
// The given exponent assumes a decimal point after the first decimal digit.
void CreateExponentialRepresentation(const char* decimal_digits,
int length,
int exponent,
StringBuilder* result_builder) const;
// Creates a decimal representation (i.e 1234.5678).
void CreateDecimalRepresentation(const char* decimal_digits,
int length,
int decimal_point,
int digits_after_point,
StringBuilder* result_builder) const;
const int flags_;
const char* const infinity_symbol_;
const char* const nan_symbol_;
const char exponent_character_;
const int decimal_in_shortest_low_;
const int decimal_in_shortest_high_;
const int max_leading_padding_zeroes_in_precision_mode_;
const int max_trailing_padding_zeroes_in_precision_mode_;
DC_DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter);
};
class StringToDoubleConverter {
public:
// Enumeration for allowing octals and ignoring junk when converting
// strings to numbers.
enum Flags {
NO_FLAGS = 0,
ALLOW_HEX = 1,
ALLOW_OCTALS = 2,
ALLOW_TRAILING_JUNK = 4,
ALLOW_LEADING_SPACES = 8,
ALLOW_TRAILING_SPACES = 16,
ALLOW_SPACES_AFTER_SIGN = 32,
ALLOW_CASE_INSENSIBILITY = 64,
ALLOW_HEX_FLOATS = 128,
};
static const uc16 kNoSeparator = '\0';
// Flags should be a bit-or combination of the possible Flags-enum.
// - NO_FLAGS: no special flags.
// - ALLOW_HEX: recognizes the prefix "0x". Hex numbers may only be integers.
// Ex: StringToDouble("0x1234") -> 4660.0
// In StringToDouble("0x1234.56") the characters ".56" are trailing
// junk. The result of the call is hence dependent on
// the ALLOW_TRAILING_JUNK flag and/or the junk value.
// With this flag "0x" is a junk-string. Even with ALLOW_TRAILING_JUNK,
// the string will not be parsed as "0" followed by junk.
//
// - ALLOW_OCTALS: recognizes the prefix "0" for octals:
// If a sequence of octal digits starts with '0', then the number is
// read as octal integer. Octal numbers may only be integers.
// Ex: StringToDouble("01234") -> 668.0
// StringToDouble("012349") -> 12349.0 // Not a sequence of octal
// // digits.
// In StringToDouble("01234.56") the characters ".56" are trailing
// junk. The result of the call is hence dependent on
// the ALLOW_TRAILING_JUNK flag and/or the junk value.
// In StringToDouble("01234e56") the characters "e56" are trailing
// junk, too.
// - ALLOW_TRAILING_JUNK: ignore trailing characters that are not part of
// a double literal.
// - ALLOW_LEADING_SPACES: skip over leading whitespace, including spaces,
// new-lines, and tabs.
// - ALLOW_TRAILING_SPACES: ignore trailing whitespace.
// - ALLOW_SPACES_AFTER_SIGN: ignore whitespace after the sign.
// Ex: StringToDouble("- 123.2") -> -123.2.
// StringToDouble("+ 123.2") -> 123.2
// - ALLOW_CASE_INSENSIBILITY: ignore case of characters for special values:
// infinity and nan.
// - ALLOW_HEX_FLOATS: allows hexadecimal float literals.
// This *must* start with "0x" and separate the exponent with "p".
// Examples: 0x1.2p3 == 9.0
// 0x10.1p0 == 16.0625
// ALLOW_HEX and ALLOW_HEX_FLOATS are indendent.
//
// empty_string_value is returned when an empty string is given as input.
// If ALLOW_LEADING_SPACES or ALLOW_TRAILING_SPACES are set, then a string
// containing only spaces is converted to the 'empty_string_value', too.
//
// junk_string_value is returned when
// a) ALLOW_TRAILING_JUNK is not set, and a junk character (a character not
// part of a double-literal) is found.
// b) ALLOW_TRAILING_JUNK is set, but the string does not start with a
// double literal.
//
// infinity_symbol and nan_symbol are strings that are used to detect
// inputs that represent infinity and NaN. They can be null, in which case
// they are ignored.
// The conversion routine first reads any possible signs. Then it compares the
// following character of the input-string with the first character of
// the infinity, and nan-symbol. If either matches, the function assumes, that
// a match has been found, and expects the following input characters to match
// the remaining characters of the special-value symbol.
// This means that the following restrictions apply to special-value symbols:
// - they must not start with signs ('+', or '-'),
// - they must not have the same first character.
// - they must not start with digits.
//
// If the separator character is not kNoSeparator, then that specific
// character is ignored when in between two valid digits of the significant.
// It is not allowed to appear in the exponent.
// It is not allowed to lead or trail the number.
// It is not allowed to appear twice next to each other.
//
// Examples:
// flags = ALLOW_HEX | ALLOW_TRAILING_JUNK,
// empty_string_value = 0.0,
// junk_string_value = NaN,
// infinity_symbol = "infinity",
// nan_symbol = "nan":
// StringToDouble("0x1234") -> 4660.0.
// StringToDouble("0x1234K") -> 4660.0.
// StringToDouble("") -> 0.0 // empty_string_value.
// StringToDouble(" ") -> NaN // junk_string_value.
// StringToDouble(" 1") -> NaN // junk_string_value.
// StringToDouble("0x") -> NaN // junk_string_value.
// StringToDouble("-123.45") -> -123.45.
// StringToDouble("--123.45") -> NaN // junk_string_value.
// StringToDouble("123e45") -> 123e45.
// StringToDouble("123E45") -> 123e45.
// StringToDouble("123e+45") -> 123e45.
// StringToDouble("123E-45") -> 123e-45.
// StringToDouble("123e") -> 123.0 // trailing junk ignored.
// StringToDouble("123e-") -> 123.0 // trailing junk ignored.
// StringToDouble("+NaN") -> NaN // NaN string literal.
// StringToDouble("-infinity") -> -inf. // infinity literal.
// StringToDouble("Infinity") -> NaN // junk_string_value.
//
// flags = ALLOW_OCTAL | ALLOW_LEADING_SPACES,
// empty_string_value = 0.0,
// junk_string_value = NaN,
// infinity_symbol = NULL,
// nan_symbol = NULL:
// StringToDouble("0x1234") -> NaN // junk_string_value.
// StringToDouble("01234") -> 668.0.
// StringToDouble("") -> 0.0 // empty_string_value.
// StringToDouble(" ") -> 0.0 // empty_string_value.
// StringToDouble(" 1") -> 1.0
// StringToDouble("0x") -> NaN // junk_string_value.
// StringToDouble("0123e45") -> NaN // junk_string_value.
// StringToDouble("01239E45") -> 1239e45.
// StringToDouble("-infinity") -> NaN // junk_string_value.
// StringToDouble("NaN") -> NaN // junk_string_value.
//
// flags = NO_FLAGS,
// separator = ' ':
// StringToDouble("1 2 3 4") -> 1234.0
// StringToDouble("1 2") -> NaN // junk_string_value
// StringToDouble("1 000 000.0") -> 1000000.0
// StringToDouble("1.000 000") -> 1.0
// StringToDouble("1.0e1 000") -> NaN // junk_string_value
StringToDoubleConverter(int flags,
double empty_string_value,
double junk_string_value,
const char* infinity_symbol,
const char* nan_symbol,
uc16 separator = kNoSeparator)
: flags_(flags),
empty_string_value_(empty_string_value),
junk_string_value_(junk_string_value),
infinity_symbol_(infinity_symbol),
nan_symbol_(nan_symbol),
separator_(separator) {
}
// Performs the conversion.
// The output parameter 'processed_characters_count' is set to the number
// of characters that have been processed to read the number.
// Spaces than are processed with ALLOW_{LEADING|TRAILING}_SPACES are included
// in the 'processed_characters_count'. Trailing junk is never included.
double StringToDouble(const char* buffer,
int length,
int* processed_characters_count) const;
// Same as StringToDouble above but for 16 bit characters.
double StringToDouble(const uc16* buffer,
int length,
int* processed_characters_count) const;
// Same as StringToDouble but reads a float.
// Note that this is not equivalent to static_cast<float>(StringToDouble(...))
// due to potential double-rounding.
float StringToFloat(const char* buffer,
int length,
int* processed_characters_count) const;
// Same as StringToFloat above but for 16 bit characters.
float StringToFloat(const uc16* buffer,
int length,
int* processed_characters_count) const;
private:
const int flags_;
const double empty_string_value_;
const double junk_string_value_;
const char* const infinity_symbol_;
const char* const nan_symbol_;
const uc16 separator_;
template <class Iterator>
double StringToIeee(Iterator start_pointer,
int length,
bool read_as_double,
int* processed_characters_count) const;
DC_DISALLOW_IMPLICIT_CONSTRUCTORS(StringToDoubleConverter);
};
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_FAST_DTOA_H_
#define DOUBLE_CONVERSION_FAST_DTOA_H_
#include "utils.h"
namespace double_conversion {
enum FastDtoaMode {
// Computes the shortest representation of the given input. The returned
// result will be the most accurate number of this length. Longer
// representations might be more accurate.
FAST_DTOA_SHORTEST,
// Same as FAST_DTOA_SHORTEST but for single-precision floats.
FAST_DTOA_SHORTEST_SINGLE,
// Computes a representation where the precision (number of digits) is
// given as input. The precision is independent of the decimal point.
FAST_DTOA_PRECISION
};
// FastDtoa will produce at most kFastDtoaMaximalLength digits. This does not
// include the terminating '\0' character.
static const int kFastDtoaMaximalLength = 17;
// Same for single-precision numbers.
static const int kFastDtoaMaximalSingleLength = 9;
// Provides a decimal representation of v.
// The result should be interpreted as buffer * 10^(point - length).
//
// Precondition:
// * v must be a strictly positive finite double.
//
// Returns true if it succeeds, otherwise the result can not be trusted.
// There will be *length digits inside the buffer followed by a null terminator.
// If the function returns true and mode equals
// - FAST_DTOA_SHORTEST, then
// the parameter requested_digits is ignored.
// The result satisfies
// v == (double) (buffer * 10^(point - length)).
// The digits in the buffer are the shortest representation possible. E.g.
// if 0.099999999999 and 0.1 represent the same double then "1" is returned
// with point = 0.
// The last digit will be closest to the actual v. That is, even if several
// digits might correctly yield 'v' when read again, the buffer will contain
// the one closest to v.
// - FAST_DTOA_PRECISION, then
// the buffer contains requested_digits digits.
// the difference v - (buffer * 10^(point-length)) is closest to zero for
// all possible representations of requested_digits digits.
// If there are two values that are equally close, then FastDtoa returns
// false.
// For both modes the buffer must be large enough to hold the result.
bool FastDtoa(double d,
FastDtoaMode mode,
int requested_digits,
Vector<char> buffer,
int* length,
int* decimal_point);
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_FAST_DTOA_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_FIXED_DTOA_H_
#define DOUBLE_CONVERSION_FIXED_DTOA_H_
#include "utils.h"
namespace double_conversion {
// Produces digits necessary to print a given number with
// 'fractional_count' digits after the decimal point.
// The buffer must be big enough to hold the result plus one terminating null
// character.
//
// The produced digits might be too short in which case the caller has to fill
// the gaps with '0's.
// Example: FastFixedDtoa(0.001, 5, ...) is allowed to return buffer = "1", and
// decimal_point = -2.
// Halfway cases are rounded towards +/-Infinity (away from 0). The call
// FastFixedDtoa(0.15, 2, ...) thus returns buffer = "2", decimal_point = 0.
// The returned buffer may contain digits that would be truncated from the
// shortest representation of the input.
//
// This method only works for some parameters. If it can't handle the input it
// returns false. The output is null-terminated when the function succeeds.
bool FastFixedDtoa(double v, int fractional_count,
Vector<char> buffer, int* length, int* decimal_point);
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_FIXED_DTOA_H_

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// Copyright 2012 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_DOUBLE_H_
#define DOUBLE_CONVERSION_DOUBLE_H_
#include "diy-fp.h"
namespace double_conversion {
// We assume that doubles and uint64_t have the same endianness.
static uint64_t double_to_uint64(double d) { return BitCast<uint64_t>(d); }
static double uint64_to_double(uint64_t d64) { return BitCast<double>(d64); }
static uint32_t float_to_uint32(float f) { return BitCast<uint32_t>(f); }
static float uint32_to_float(uint32_t d32) { return BitCast<float>(d32); }
// Helper functions for doubles.
class Double {
public:
static const uint64_t kSignMask = UINT64_2PART_C(0x80000000, 00000000);
static const uint64_t kExponentMask = UINT64_2PART_C(0x7FF00000, 00000000);
static const uint64_t kSignificandMask = UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
static const uint64_t kHiddenBit = UINT64_2PART_C(0x00100000, 00000000);
static const int kPhysicalSignificandSize = 52; // Excludes the hidden bit.
static const int kSignificandSize = 53;
static const int kExponentBias = 0x3FF + kPhysicalSignificandSize;
static const int kMaxExponent = 0x7FF - kExponentBias;
Double() : d64_(0) {}
explicit Double(double d) : d64_(double_to_uint64(d)) {}
explicit Double(uint64_t d64) : d64_(d64) {}
explicit Double(DiyFp diy_fp)
: d64_(DiyFpToUint64(diy_fp)) {}
// The value encoded by this Double must be greater or equal to +0.0.
// It must not be special (infinity, or NaN).
DiyFp AsDiyFp() const {
ASSERT(Sign() > 0);
ASSERT(!IsSpecial());
return DiyFp(Significand(), Exponent());
}
// The value encoded by this Double must be strictly greater than 0.
DiyFp AsNormalizedDiyFp() const {
ASSERT(value() > 0.0);
uint64_t f = Significand();
int e = Exponent();
// The current double could be a denormal.
while ((f & kHiddenBit) == 0) {
f <<= 1;
e--;
}
// Do the final shifts in one go.
f <<= DiyFp::kSignificandSize - kSignificandSize;
e -= DiyFp::kSignificandSize - kSignificandSize;
return DiyFp(f, e);
}
// Returns the double's bit as uint64.
uint64_t AsUint64() const {
return d64_;
}
// Returns the next greater double. Returns +infinity on input +infinity.
double NextDouble() const {
if (d64_ == kInfinity) return Double(kInfinity).value();
if (Sign() < 0 && Significand() == 0) {
// -0.0
return 0.0;
}
if (Sign() < 0) {
return Double(d64_ - 1).value();
} else {
return Double(d64_ + 1).value();
}
}
double PreviousDouble() const {
if (d64_ == (kInfinity | kSignMask)) return -Infinity();
if (Sign() < 0) {
return Double(d64_ + 1).value();
} else {
if (Significand() == 0) return -0.0;
return Double(d64_ - 1).value();
}
}
int Exponent() const {
if (IsDenormal()) return kDenormalExponent;
uint64_t d64 = AsUint64();
int biased_e =
static_cast<int>((d64 & kExponentMask) >> kPhysicalSignificandSize);
return biased_e - kExponentBias;
}
uint64_t Significand() const {
uint64_t d64 = AsUint64();
uint64_t significand = d64 & kSignificandMask;
if (!IsDenormal()) {
return significand + kHiddenBit;
} else {
return significand;
}
}
// Returns true if the double is a denormal.
bool IsDenormal() const {
uint64_t d64 = AsUint64();
return (d64 & kExponentMask) == 0;
}
// We consider denormals not to be special.
// Hence only Infinity and NaN are special.
bool IsSpecial() const {
uint64_t d64 = AsUint64();
return (d64 & kExponentMask) == kExponentMask;
}
bool IsNan() const {
uint64_t d64 = AsUint64();
return ((d64 & kExponentMask) == kExponentMask) &&
((d64 & kSignificandMask) != 0);
}
bool IsInfinite() const {
uint64_t d64 = AsUint64();
return ((d64 & kExponentMask) == kExponentMask) &&
((d64 & kSignificandMask) == 0);
}
int Sign() const {
uint64_t d64 = AsUint64();
return (d64 & kSignMask) == 0? 1: -1;
}
// Precondition: the value encoded by this Double must be greater or equal
// than +0.0.
DiyFp UpperBoundary() const {
ASSERT(Sign() > 0);
return DiyFp(Significand() * 2 + 1, Exponent() - 1);
}
// Computes the two boundaries of this.
// The bigger boundary (m_plus) is normalized. The lower boundary has the same
// exponent as m_plus.
// Precondition: the value encoded by this Double must be greater than 0.
void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
ASSERT(value() > 0.0);
DiyFp v = this->AsDiyFp();
DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
DiyFp m_minus;
if (LowerBoundaryIsCloser()) {
m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
} else {
m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
}
m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
m_minus.set_e(m_plus.e());
*out_m_plus = m_plus;
*out_m_minus = m_minus;
}
bool LowerBoundaryIsCloser() const {
// The boundary is closer if the significand is of the form f == 2^p-1 then
// the lower boundary is closer.
// Think of v = 1000e10 and v- = 9999e9.
// Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but
// at a distance of 1e8.
// The only exception is for the smallest normal: the largest denormal is
// at the same distance as its successor.
// Note: denormals have the same exponent as the smallest normals.
bool physical_significand_is_zero = ((AsUint64() & kSignificandMask) == 0);
return physical_significand_is_zero && (Exponent() != kDenormalExponent);
}
double value() const { return uint64_to_double(d64_); }
// Returns the significand size for a given order of magnitude.
// If v = f*2^e with 2^p-1 <= f <= 2^p then p+e is v's order of magnitude.
// This function returns the number of significant binary digits v will have
// once it's encoded into a double. In almost all cases this is equal to
// kSignificandSize. The only exceptions are denormals. They start with
// leading zeroes and their effective significand-size is hence smaller.
static int SignificandSizeForOrderOfMagnitude(int order) {
if (order >= (kDenormalExponent + kSignificandSize)) {
return kSignificandSize;
}
if (order <= kDenormalExponent) return 0;
return order - kDenormalExponent;
}
static double Infinity() {
return Double(kInfinity).value();
}
static double NaN() {
return Double(kNaN).value();
}
private:
static const int kDenormalExponent = -kExponentBias + 1;
static const uint64_t kInfinity = UINT64_2PART_C(0x7FF00000, 00000000);
static const uint64_t kNaN = UINT64_2PART_C(0x7FF80000, 00000000);
const uint64_t d64_;
static uint64_t DiyFpToUint64(DiyFp diy_fp) {
uint64_t significand = diy_fp.f();
int exponent = diy_fp.e();
while (significand > kHiddenBit + kSignificandMask) {
significand >>= 1;
exponent++;
}
if (exponent >= kMaxExponent) {
return kInfinity;
}
if (exponent < kDenormalExponent) {
return 0;
}
while (exponent > kDenormalExponent && (significand & kHiddenBit) == 0) {
significand <<= 1;
exponent--;
}
uint64_t biased_exponent;
if (exponent == kDenormalExponent && (significand & kHiddenBit) == 0) {
biased_exponent = 0;
} else {
biased_exponent = static_cast<uint64_t>(exponent + kExponentBias);
}
return (significand & kSignificandMask) |
(biased_exponent << kPhysicalSignificandSize);
}
DC_DISALLOW_COPY_AND_ASSIGN(Double);
};
class Single {
public:
static const uint32_t kSignMask = 0x80000000;
static const uint32_t kExponentMask = 0x7F800000;
static const uint32_t kSignificandMask = 0x007FFFFF;
static const uint32_t kHiddenBit = 0x00800000;
static const int kPhysicalSignificandSize = 23; // Excludes the hidden bit.
static const int kSignificandSize = 24;
Single() : d32_(0) {}
explicit Single(float f) : d32_(float_to_uint32(f)) {}
explicit Single(uint32_t d32) : d32_(d32) {}
// The value encoded by this Single must be greater or equal to +0.0.
// It must not be special (infinity, or NaN).
DiyFp AsDiyFp() const {
ASSERT(Sign() > 0);
ASSERT(!IsSpecial());
return DiyFp(Significand(), Exponent());
}
// Returns the single's bit as uint64.
uint32_t AsUint32() const {
return d32_;
}
int Exponent() const {
if (IsDenormal()) return kDenormalExponent;
uint32_t d32 = AsUint32();
int biased_e =
static_cast<int>((d32 & kExponentMask) >> kPhysicalSignificandSize);
return biased_e - kExponentBias;
}
uint32_t Significand() const {
uint32_t d32 = AsUint32();
uint32_t significand = d32 & kSignificandMask;
if (!IsDenormal()) {
return significand + kHiddenBit;
} else {
return significand;
}
}
// Returns true if the single is a denormal.
bool IsDenormal() const {
uint32_t d32 = AsUint32();
return (d32 & kExponentMask) == 0;
}
// We consider denormals not to be special.
// Hence only Infinity and NaN are special.
bool IsSpecial() const {
uint32_t d32 = AsUint32();
return (d32 & kExponentMask) == kExponentMask;
}
bool IsNan() const {
uint32_t d32 = AsUint32();
return ((d32 & kExponentMask) == kExponentMask) &&
((d32 & kSignificandMask) != 0);
}
bool IsInfinite() const {
uint32_t d32 = AsUint32();
return ((d32 & kExponentMask) == kExponentMask) &&
((d32 & kSignificandMask) == 0);
}
int Sign() const {
uint32_t d32 = AsUint32();
return (d32 & kSignMask) == 0? 1: -1;
}
// Computes the two boundaries of this.
// The bigger boundary (m_plus) is normalized. The lower boundary has the same
// exponent as m_plus.
// Precondition: the value encoded by this Single must be greater than 0.
void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
ASSERT(value() > 0.0);
DiyFp v = this->AsDiyFp();
DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
DiyFp m_minus;
if (LowerBoundaryIsCloser()) {
m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
} else {
m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
}
m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
m_minus.set_e(m_plus.e());
*out_m_plus = m_plus;
*out_m_minus = m_minus;
}
// Precondition: the value encoded by this Single must be greater or equal
// than +0.0.
DiyFp UpperBoundary() const {
ASSERT(Sign() > 0);
return DiyFp(Significand() * 2 + 1, Exponent() - 1);
}
bool LowerBoundaryIsCloser() const {
// The boundary is closer if the significand is of the form f == 2^p-1 then
// the lower boundary is closer.
// Think of v = 1000e10 and v- = 9999e9.
// Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but
// at a distance of 1e8.
// The only exception is for the smallest normal: the largest denormal is
// at the same distance as its successor.
// Note: denormals have the same exponent as the smallest normals.
bool physical_significand_is_zero = ((AsUint32() & kSignificandMask) == 0);
return physical_significand_is_zero && (Exponent() != kDenormalExponent);
}
float value() const { return uint32_to_float(d32_); }
static float Infinity() {
return Single(kInfinity).value();
}
static float NaN() {
return Single(kNaN).value();
}
private:
static const int kExponentBias = 0x7F + kPhysicalSignificandSize;
static const int kDenormalExponent = -kExponentBias + 1;
static const int kMaxExponent = 0xFF - kExponentBias;
static const uint32_t kInfinity = 0x7F800000;
static const uint32_t kNaN = 0x7FC00000;
const uint32_t d32_;
DC_DISALLOW_COPY_AND_ASSIGN(Single);
};
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_DOUBLE_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_STRTOD_H_
#define DOUBLE_CONVERSION_STRTOD_H_
#include "utils.h"
namespace double_conversion {
// The buffer must only contain digits in the range [0-9]. It must not
// contain a dot or a sign. It must not start with '0', and must not be empty.
double Strtod(Vector<const char> buffer, int exponent);
// The buffer must only contain digits in the range [0-9]. It must not
// contain a dot or a sign. It must not start with '0', and must not be empty.
float Strtof(Vector<const char> buffer, int exponent);
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_STRTOD_H_

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// 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
// contributors may be used to endorse or promote products derived
// 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
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#ifndef DOUBLE_CONVERSION_UTILS_H_
#define DOUBLE_CONVERSION_UTILS_H_
#include <cstdlib>
#include <cstring>
#include <cassert>
#ifndef ASSERT
#define ASSERT(condition) \
assert(condition);
#endif
#ifndef UNIMPLEMENTED
#define UNIMPLEMENTED() (abort())
#endif
#ifndef DOUBLE_CONVERSION_NO_RETURN
#ifdef _MSC_VER
#define DOUBLE_CONVERSION_NO_RETURN __declspec(noreturn)
#else
#define DOUBLE_CONVERSION_NO_RETURN __attribute__((noreturn))
#endif
#endif
#ifndef UNREACHABLE
#ifdef _MSC_VER
void DOUBLE_CONVERSION_NO_RETURN abort_noreturn();
inline void abort_noreturn() { abort(); }
#define UNREACHABLE() (abort_noreturn())
#else
#define UNREACHABLE() (abort())
#endif
#endif
#ifndef DOUBLE_CONVERSION_UNUSED
#ifdef __GNUC__
#define DOUBLE_CONVERSION_UNUSED __attribute__((unused))
#else
#define DOUBLE_CONVERSION_UNUSED
#endif
#endif
// Double operations detection based on target architecture.
// Linux uses a 80bit wide floating point stack on x86. This induces double
// rounding, which in turn leads to wrong results.
// An easy way to test if the floating-point operations are correct is to
// evaluate: 89255.0/1e22. If the floating-point stack is 64 bits wide then
// the result is equal to 89255e-22.
// The best way to test this, is to create a division-function and to compare
// the output of the division with the expected result. (Inlining must be
// disabled.)
// On Linux,x86 89255e-22 != Div_double(89255.0/1e22)
//
// For example:
/*
// -- in div.c
double Div_double(double x, double y) { return x / y; }
// -- in main.c
double Div_double(double x, double y); // Forward declaration.
int main(int argc, char** argv) {
return Div_double(89255.0, 1e22) == 89255e-22;
}
*/
// Run as follows ./main || echo "correct"
//
// If it prints "correct" then the architecture should be here, in the "correct" section.
#if defined(_M_X64) || defined(__x86_64__) || \
defined(__ARMEL__) || defined(__avr32__) || defined(_M_ARM) || defined(_M_ARM64) || \
defined(__hppa__) || defined(__ia64__) || \
defined(__mips__) || \
defined(__powerpc__) || defined(__ppc__) || defined(__ppc64__) || \
defined(_POWER) || defined(_ARCH_PPC) || defined(_ARCH_PPC64) || \
defined(__sparc__) || defined(__sparc) || defined(__s390__) || \
defined(__SH4__) || defined(__alpha__) || \
defined(_MIPS_ARCH_MIPS32R2) || defined(__ARMEB__) ||\
defined(__AARCH64EL__) || defined(__aarch64__) || defined(__AARCH64EB__) || \
defined(__riscv) || \
defined(__or1k__) || defined(__arc__) || \
defined(__EMSCRIPTEN__)
#define DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS 1
#elif defined(__mc68000__) || \
defined(__pnacl__) || defined(__native_client__)
#undef DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS
#elif defined(_M_IX86) || defined(__i386__) || defined(__i386)
#if defined(_WIN32)
// Windows uses a 64bit wide floating point stack.
#define DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS 1
#else
#undef DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS
#endif // _WIN32
#else
#error Target architecture was not detected as supported by Double-Conversion.
#endif
#if defined(_WIN32) && !defined(__MINGW32__)
typedef signed char int8_t;
typedef unsigned char uint8_t;
typedef short int16_t; // NOLINT
typedef unsigned short uint16_t; // NOLINT
typedef int int32_t;
typedef unsigned int uint32_t;
typedef __int64 int64_t;
typedef unsigned __int64 uint64_t;
// intptr_t and friends are defined in crtdefs.h through stdio.h.
#else
#include <stdint.h>
#endif
typedef uint16_t uc16;
// The following macro works on both 32 and 64-bit platforms.
// Usage: instead of writing 0x1234567890123456
// write UINT64_2PART_C(0x12345678,90123456);
#define UINT64_2PART_C(a, b) (((static_cast<uint64_t>(a) << 32) + 0x##b##u))
// The expression ARRAY_SIZE(a) is a compile-time constant of type
// size_t which represents the number of elements of the given
// array. You should only use ARRAY_SIZE on statically allocated
// arrays.
#ifndef ARRAY_SIZE
#define ARRAY_SIZE(a) \
((sizeof(a) / sizeof(*(a))) / \
static_cast<size_t>(!(sizeof(a) % sizeof(*(a)))))
#endif
// A macro to disallow the evil copy constructor and operator= functions
// This should be used in the private: declarations for a class
#ifndef DC_DISALLOW_COPY_AND_ASSIGN
#define DC_DISALLOW_COPY_AND_ASSIGN(TypeName) \
TypeName(const TypeName&); \
void operator=(const TypeName&)
#endif
// A macro to disallow all the implicit constructors, namely the
// default constructor, copy constructor and operator= functions.
//
// This should be used in the private: declarations for a class
// that wants to prevent anyone from instantiating it. This is
// especially useful for classes containing only static methods.
#ifndef DC_DISALLOW_IMPLICIT_CONSTRUCTORS
#define DC_DISALLOW_IMPLICIT_CONSTRUCTORS(TypeName) \
TypeName(); \
DC_DISALLOW_COPY_AND_ASSIGN(TypeName)
#endif
namespace double_conversion {
static const int kCharSize = sizeof(char);
// Returns the maximum of the two parameters.
template <typename T>
static T Max(T a, T b) {
return a < b ? b : a;
}
// Returns the minimum of the two parameters.
template <typename T>
static T Min(T a, T b) {
return a < b ? a : b;
}
inline int StrLength(const char* string) {
size_t length = strlen(string);
ASSERT(length == static_cast<size_t>(static_cast<int>(length)));
return static_cast<int>(length);
}
// This is a simplified version of V8's Vector class.
template <typename T>
class Vector {
public:
Vector() : start_(NULL), length_(0) {}
Vector(T* data, int len) : start_(data), length_(len) {
ASSERT(len == 0 || (len > 0 && data != NULL));
}
// Returns a vector using the same backing storage as this one,
// spanning from and including 'from', to but not including 'to'.
Vector<T> SubVector(int from, int to) {
ASSERT(to <= length_);
ASSERT(from < to);
ASSERT(0 <= from);
return Vector<T>(start() + from, to - from);
}
// Returns the length of the vector.
int length() const { return length_; }
// Returns whether or not the vector is empty.
bool is_empty() const { return length_ == 0; }
// Returns the pointer to the start of the data in the vector.
T* start() const { return start_; }
// Access individual vector elements - checks bounds in debug mode.
T& operator[](int index) const {
ASSERT(0 <= index && index < length_);
return start_[index];
}
T& first() { return start_[0]; }
T& last() { return start_[length_ - 1]; }
private:
T* start_;
int length_;
};
// Helper class for building result strings in a character buffer. The
// purpose of the class is to use safe operations that checks the
// buffer bounds on all operations in debug mode.
class StringBuilder {
public:
StringBuilder(char* buffer, int buffer_size)
: buffer_(buffer, buffer_size), position_(0) { }
~StringBuilder() { if (!is_finalized()) Finalize(); }
int size() const { return buffer_.length(); }
// Get the current position in the builder.
int position() const {
ASSERT(!is_finalized());
return position_;
}
// Reset the position.
void Reset() { position_ = 0; }
// Add a single character to the builder. It is not allowed to add
// 0-characters; use the Finalize() method to terminate the string
// instead.
void AddCharacter(char c) {
ASSERT(c != '\0');
ASSERT(!is_finalized() && position_ < buffer_.length());
buffer_[position_++] = c;
}
// Add an entire string to the builder. Uses strlen() internally to
// compute the length of the input string.
void AddString(const char* s) {
AddSubstring(s, StrLength(s));
}
// Add the first 'n' characters of the given string 's' to the
// builder. The input string must have enough characters.
void AddSubstring(const char* s, int n) {
ASSERT(!is_finalized() && position_ + n < buffer_.length());
ASSERT(static_cast<size_t>(n) <= strlen(s));
memmove(&buffer_[position_], s, n * kCharSize);
position_ += n;
}
// Add character padding to the builder. If count is non-positive,
// nothing is added to the builder.
void AddPadding(char c, int count) {
for (int i = 0; i < count; i++) {
AddCharacter(c);
}
}
// Finalize the string by 0-terminating it and returning the buffer.
char* Finalize() {
ASSERT(!is_finalized() && position_ < buffer_.length());
buffer_[position_] = '\0';
// Make sure nobody managed to add a 0-character to the
// buffer while building the string.
ASSERT(strlen(buffer_.start()) == static_cast<size_t>(position_));
position_ = -1;
ASSERT(is_finalized());
return buffer_.start();
}
private:
Vector<char> buffer_;
int position_;
bool is_finalized() const { return position_ < 0; }
DC_DISALLOW_IMPLICIT_CONSTRUCTORS(StringBuilder);
};
// The type-based aliasing rule allows the compiler to assume that pointers of
// different types (for some definition of different) never alias each other.
// Thus the following code does not work:
//
// float f = foo();
// int fbits = *(int*)(&f);
//
// The compiler 'knows' that the int pointer can't refer to f since the types
// don't match, so the compiler may cache f in a register, leaving random data
// in fbits. Using C++ style casts makes no difference, however a pointer to
// char data is assumed to alias any other pointer. This is the 'memcpy
// exception'.
//
// Bit_cast uses the memcpy exception to move the bits from a variable of one
// type of a variable of another type. Of course the end result is likely to
// be implementation dependent. Most compilers (gcc-4.2 and MSVC 2005)
// will completely optimize BitCast away.
//
// There is an additional use for BitCast.
// Recent gccs will warn when they see casts that may result in breakage due to
// the type-based aliasing rule. If you have checked that there is no breakage
// you can use BitCast to cast one pointer type to another. This confuses gcc
// enough that it can no longer see that you have cast one pointer type to
// another thus avoiding the warning.
template <class Dest, class Source>
inline Dest BitCast(const Source& source) {
// Compile time assertion: sizeof(Dest) == sizeof(Source)
// A compile error here means your Dest and Source have different sizes.
#if __cplusplus >= 201103L
static_assert(sizeof(Dest) == sizeof(Source),
"source and destination size mismatch");
#else
DOUBLE_CONVERSION_UNUSED
typedef char VerifySizesAreEqual[sizeof(Dest) == sizeof(Source) ? 1 : -1];
#endif
Dest dest;
memmove(&dest, &source, sizeof(dest));
return dest;
}
template <class Dest, class Source>
inline Dest BitCast(Source* source) {
return BitCast<Dest>(reinterpret_cast<uintptr_t>(source));
}
} // namespace double_conversion
#endif // DOUBLE_CONVERSION_UTILS_H_

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/*
* PCG Random Number Generation for C++
*
* Copyright 2014-2017 Melissa O'Neill <oneill@pcg-random.org>,
* and the PCG Project contributors.
*
* SPDX-License-Identifier: (Apache-2.0 OR MIT)
*
* Licensed under the Apache License, Version 2.0 (provided in
* LICENSE-APACHE.txt and at http://www.apache.org/licenses/LICENSE-2.0)
* or under the MIT license (provided in LICENSE-MIT.txt and at
* http://opensource.org/licenses/MIT), at your option. This file may not
* be copied, modified, or distributed except according to those terms.
*
* Distributed on an "AS IS" BASIS, WITHOUT WARRANTY OF ANY KIND, either
* express or implied. See your chosen license for details.
*
* For additional information about the PCG random number generation scheme,
* visit http://www.pcg-random.org/.
*/
/*
* This file provides support code that is useful for random-number generation
* but not specific to the PCG generation scheme, including:
* - 128-bit int support for platforms where it isn't available natively
* - bit twiddling operations
* - I/O of 128-bit and 8-bit integers
* - Handling the evilness of SeedSeq
* - Support for efficiently producing random numbers less than a given
* bound
*/
#ifndef PCG_EXTRAS_HPP_INCLUDED
#define PCG_EXTRAS_HPP_INCLUDED 1
#include <cinttypes>
#include <cstddef>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <limits>
#include <iostream>
#include <type_traits>
#include <utility>
#include <locale>
#include <iterator>
#ifdef __GNUC__
#include <cxxabi.h>
#endif
/*
* Abstractions for compiler-specific directives
*/
#ifdef __GNUC__
#define PCG_NOINLINE __attribute__((noinline))
#else
#define PCG_NOINLINE
#endif
/*
* Some members of the PCG library use 128-bit math. When compiling on 64-bit
* platforms, both GCC and Clang provide 128-bit integer types that are ideal
* for the job.
*
* On 32-bit platforms (or with other compilers), we fall back to a C++
* class that provides 128-bit unsigned integers instead. It may seem
* like we're reinventing the wheel here, because libraries already exist
* that support large integers, but most existing libraries provide a very
* generic multiprecision code, but here we're operating at a fixed size.
* Also, most other libraries are fairly heavyweight. So we use a direct
* implementation. Sadly, it's much slower than hand-coded assembly or
* direct CPU support.
*
*/
#if __SIZEOF_INT128__ && !PCG_FORCE_EMULATED_128BIT_MATH
namespace arrow_vendored {
namespace pcg_extras {
typedef __uint128_t pcg128_t;
}
}
#define PCG_128BIT_CONSTANT(high,low) \
((pcg_extras::pcg128_t(high) << 64) + low)
#else
#include "pcg_uint128.hpp"
namespace arrow_vendored {
namespace pcg_extras {
typedef pcg_extras::uint_x4<uint32_t,uint64_t> pcg128_t;
}
}
#define PCG_128BIT_CONSTANT(high,low) \
pcg_extras::pcg128_t(high,low)
#define PCG_EMULATED_128BIT_MATH 1
#endif
namespace arrow_vendored {
namespace pcg_extras {
/*
* We often need to represent a "number of bits". When used normally, these
* numbers are never greater than 128, so an unsigned char is plenty.
* If you're using a nonstandard generator of a larger size, you can set
* PCG_BITCOUNT_T to have it define it as a larger size. (Some compilers
* might produce faster code if you set it to an unsigned int.)
*/
#ifndef PCG_BITCOUNT_T
typedef uint8_t bitcount_t;
#else
typedef PCG_BITCOUNT_T bitcount_t;
#endif
/*
* C++ requires us to be able to serialize RNG state by printing or reading
* it from a stream. Because we use 128-bit ints, we also need to be able
* ot print them, so here is code to do so.
*
* This code provides enough functionality to print 128-bit ints in decimal
* and zero-padded in hex. It's not a full-featured implementation.
*/
template <typename CharT, typename Traits>
std::basic_ostream<CharT,Traits>&
operator<<(std::basic_ostream<CharT,Traits>& out, pcg128_t value)
{
auto desired_base = out.flags() & out.basefield;
bool want_hex = desired_base == out.hex;
if (want_hex) {
uint64_t highpart = uint64_t(value >> 64);
uint64_t lowpart = uint64_t(value);
auto desired_width = out.width();
if (desired_width > 16) {
out.width(desired_width - 16);
}
if (highpart != 0 || desired_width > 16)
out << highpart;
CharT oldfill = '\0';
if (highpart != 0) {
out.width(16);
oldfill = out.fill('0');
}
auto oldflags = out.setf(decltype(desired_base){}, out.showbase);
out << lowpart;
out.setf(oldflags);
if (highpart != 0) {
out.fill(oldfill);
}
return out;
}
constexpr size_t MAX_CHARS_128BIT = 40;
char buffer[MAX_CHARS_128BIT];
char* pos = buffer+sizeof(buffer);
*(--pos) = '\0';
constexpr auto BASE = pcg128_t(10ULL);
do {
auto div = value / BASE;
auto mod = uint32_t(value - (div * BASE));
*(--pos) = '0' + char(mod);
value = div;
} while(value != pcg128_t(0ULL));
return out << pos;
}
template <typename CharT, typename Traits>
std::basic_istream<CharT,Traits>&
operator>>(std::basic_istream<CharT,Traits>& in, pcg128_t& value)
{
typename std::basic_istream<CharT,Traits>::sentry s(in);
if (!s)
return in;
constexpr auto BASE = pcg128_t(10ULL);
pcg128_t current(0ULL);
bool did_nothing = true;
bool overflow = false;
for(;;) {
CharT wide_ch = in.get();
if (!in.good())
break;
auto ch = in.narrow(wide_ch, '\0');
if (ch < '0' || ch > '9') {
in.unget();
break;
}
did_nothing = false;
pcg128_t digit(uint32_t(ch - '0'));
pcg128_t timesbase = current*BASE;
overflow = overflow || timesbase < current;
current = timesbase + digit;
overflow = overflow || current < digit;
}
if (did_nothing || overflow) {
in.setstate(std::ios::failbit);
if (overflow)
current = ~pcg128_t(0ULL);
}
value = current;
return in;
}
/*
* Likewise, if people use tiny rngs, we'll be serializing uint8_t.
* If we just used the provided IO operators, they'd read/write chars,
* not ints, so we need to define our own. We *can* redefine this operator
* here because we're in our own namespace.
*/
template <typename CharT, typename Traits>
std::basic_ostream<CharT,Traits>&
operator<<(std::basic_ostream<CharT,Traits>&out, uint8_t value)
{
return out << uint32_t(value);
}
template <typename CharT, typename Traits>
std::basic_istream<CharT,Traits>&
operator>>(std::basic_istream<CharT,Traits>& in, uint8_t& target)
{
uint32_t value = 0xdecea5edU;
in >> value;
if (!in && value == 0xdecea5edU)
return in;
if (value > uint8_t(~0)) {
in.setstate(std::ios::failbit);
value = ~0U;
}
target = uint8_t(value);
return in;
}
/* Unfortunately, the above functions don't get found in preference to the
* built in ones, so we create some more specific overloads that will.
* Ugh.
*/
inline std::ostream& operator<<(std::ostream& out, uint8_t value)
{
return pcg_extras::operator<< <char>(out, value);
}
inline std::istream& operator>>(std::istream& in, uint8_t& value)
{
return pcg_extras::operator>> <char>(in, value);
}
/*
* Useful bitwise operations.
*/
/*
* XorShifts are invertable, but they are someting of a pain to invert.
* This function backs them out. It's used by the whacky "inside out"
* generator defined later.
*/
template <typename itype>
inline itype unxorshift(itype x, bitcount_t bits, bitcount_t shift)
{
if (2*shift >= bits) {
return x ^ (x >> shift);
}
itype lowmask1 = (itype(1U) << (bits - shift*2)) - 1;
itype highmask1 = ~lowmask1;
itype top1 = x;
itype bottom1 = x & lowmask1;
top1 ^= top1 >> shift;
top1 &= highmask1;
x = top1 | bottom1;
itype lowmask2 = (itype(1U) << (bits - shift)) - 1;
itype bottom2 = x & lowmask2;
bottom2 = unxorshift(bottom2, bits - shift, shift);
bottom2 &= lowmask1;
return top1 | bottom2;
}
/*
* Rotate left and right.
*
* In ideal world, compilers would spot idiomatic rotate code and convert it
* to a rotate instruction. Of course, opinions vary on what the correct
* idiom is and how to spot it. For clang, sometimes it generates better
* (but still crappy) code if you define PCG_USE_ZEROCHECK_ROTATE_IDIOM.
*/
template <typename itype>
inline itype rotl(itype value, bitcount_t rot)
{
constexpr bitcount_t bits = sizeof(itype) * 8;
constexpr bitcount_t mask = bits - 1;
#if PCG_USE_ZEROCHECK_ROTATE_IDIOM
return rot ? (value << rot) | (value >> (bits - rot)) : value;
#else
return (value << rot) | (value >> ((- rot) & mask));
#endif
}
template <typename itype>
inline itype rotr(itype value, bitcount_t rot)
{
constexpr bitcount_t bits = sizeof(itype) * 8;
constexpr bitcount_t mask = bits - 1;
#if PCG_USE_ZEROCHECK_ROTATE_IDIOM
return rot ? (value >> rot) | (value << (bits - rot)) : value;
#else
return (value >> rot) | (value << ((- rot) & mask));
#endif
}
/* Unfortunately, both Clang and GCC sometimes perform poorly when it comes
* to properly recognizing idiomatic rotate code, so for we also provide
* assembler directives (enabled with PCG_USE_INLINE_ASM). Boo, hiss.
* (I hope that these compilers get better so that this code can die.)
*
* These overloads will be preferred over the general template code above.
*/
#if PCG_USE_INLINE_ASM && __GNUC__ && (__x86_64__ || __i386__)
inline uint8_t rotr(uint8_t value, bitcount_t rot)
{
asm ("rorb %%cl, %0" : "=r" (value) : "0" (value), "c" (rot));
return value;
}
inline uint16_t rotr(uint16_t value, bitcount_t rot)
{
asm ("rorw %%cl, %0" : "=r" (value) : "0" (value), "c" (rot));
return value;
}
inline uint32_t rotr(uint32_t value, bitcount_t rot)
{
asm ("rorl %%cl, %0" : "=r" (value) : "0" (value), "c" (rot));
return value;
}
#if __x86_64__
inline uint64_t rotr(uint64_t value, bitcount_t rot)
{
asm ("rorq %%cl, %0" : "=r" (value) : "0" (value), "c" (rot));
return value;
}
#endif // __x86_64__
#elif defined(_MSC_VER)
// Use MSVC++ bit rotation intrinsics
#pragma intrinsic(_rotr, _rotr64, _rotr8, _rotr16)
inline uint8_t rotr(uint8_t value, bitcount_t rot)
{
return _rotr8(value, rot);
}
inline uint16_t rotr(uint16_t value, bitcount_t rot)
{
return _rotr16(value, rot);
}
inline uint32_t rotr(uint32_t value, bitcount_t rot)
{
return _rotr(value, rot);
}
inline uint64_t rotr(uint64_t value, bitcount_t rot)
{
return _rotr64(value, rot);
}
#endif // PCG_USE_INLINE_ASM
/*
* The C++ SeedSeq concept (modelled by seed_seq) can fill an array of
* 32-bit integers with seed data, but sometimes we want to produce
* larger or smaller integers.
*
* The following code handles this annoyance.
*
* uneven_copy will copy an array of 32-bit ints to an array of larger or
* smaller ints (actually, the code is general it only needing forward
* iterators). The copy is identical to the one that would be performed if
* we just did memcpy on a standard little-endian machine, but works
* regardless of the endian of the machine (or the weirdness of the ints
* involved).
*
* generate_to initializes an array of integers using a SeedSeq
* object. It is given the size as a static constant at compile time and
* tries to avoid memory allocation. If we're filling in 32-bit constants
* we just do it directly. If we need a separate buffer and it's small,
* we allocate it on the stack. Otherwise, we fall back to heap allocation.
* Ugh.
*
* generate_one produces a single value of some integral type using a
* SeedSeq object.
*/
/* uneven_copy helper, case where destination ints are less than 32 bit. */
template<class SrcIter, class DestIter>
SrcIter uneven_copy_impl(
SrcIter src_first, DestIter dest_first, DestIter dest_last,
std::true_type)
{
typedef typename std::iterator_traits<SrcIter>::value_type src_t;
typedef typename std::iterator_traits<DestIter>::value_type dest_t;
constexpr bitcount_t SRC_SIZE = sizeof(src_t);
constexpr bitcount_t DEST_SIZE = sizeof(dest_t);
constexpr bitcount_t DEST_BITS = DEST_SIZE * 8;
constexpr bitcount_t SCALE = SRC_SIZE / DEST_SIZE;
size_t count = 0;
src_t value = 0;
while (dest_first != dest_last) {
if ((count++ % SCALE) == 0)
value = *src_first++; // Get more bits
else
value >>= DEST_BITS; // Move down bits
*dest_first++ = dest_t(value); // Truncates, ignores high bits.
}
return src_first;
}
/* uneven_copy helper, case where destination ints are more than 32 bit. */
template<class SrcIter, class DestIter>
SrcIter uneven_copy_impl(
SrcIter src_first, DestIter dest_first, DestIter dest_last,
std::false_type)
{
typedef typename std::iterator_traits<SrcIter>::value_type src_t;
typedef typename std::iterator_traits<DestIter>::value_type dest_t;
constexpr auto SRC_SIZE = sizeof(src_t);
constexpr auto SRC_BITS = SRC_SIZE * 8;
constexpr auto DEST_SIZE = sizeof(dest_t);
constexpr auto SCALE = (DEST_SIZE+SRC_SIZE-1) / SRC_SIZE;
while (dest_first != dest_last) {
dest_t value(0UL);
unsigned int shift = 0;
for (size_t i = 0; i < SCALE; ++i) {
value |= dest_t(*src_first++) << shift;
shift += SRC_BITS;
}
*dest_first++ = value;
}
return src_first;
}
/* uneven_copy, call the right code for larger vs. smaller */
template<class SrcIter, class DestIter>
inline SrcIter uneven_copy(SrcIter src_first,
DestIter dest_first, DestIter dest_last)
{
typedef typename std::iterator_traits<SrcIter>::value_type src_t;
typedef typename std::iterator_traits<DestIter>::value_type dest_t;
constexpr bool DEST_IS_SMALLER = sizeof(dest_t) < sizeof(src_t);
return uneven_copy_impl(src_first, dest_first, dest_last,
std::integral_constant<bool, DEST_IS_SMALLER>{});
}
/* generate_to, fill in a fixed-size array of integral type using a SeedSeq
* (actually works for any random-access iterator)
*/
template <size_t size, typename SeedSeq, typename DestIter>
inline void generate_to_impl(SeedSeq&& generator, DestIter dest,
std::true_type)
{
generator.generate(dest, dest+size);
}
template <size_t size, typename SeedSeq, typename DestIter>
void generate_to_impl(SeedSeq&& generator, DestIter dest,
std::false_type)
{
typedef typename std::iterator_traits<DestIter>::value_type dest_t;
constexpr auto DEST_SIZE = sizeof(dest_t);
constexpr auto GEN_SIZE = sizeof(uint32_t);
constexpr bool GEN_IS_SMALLER = GEN_SIZE < DEST_SIZE;
constexpr size_t FROM_ELEMS =
GEN_IS_SMALLER
? size * ((DEST_SIZE+GEN_SIZE-1) / GEN_SIZE)
: (size + (GEN_SIZE / DEST_SIZE) - 1)
/ ((GEN_SIZE / DEST_SIZE) + GEN_IS_SMALLER);
// this odd code ^^^^^^^^^^^^^^^^^ is work-around for
// a bug: http://llvm.org/bugs/show_bug.cgi?id=21287
if (FROM_ELEMS <= 1024) {
uint32_t buffer[FROM_ELEMS];
generator.generate(buffer, buffer+FROM_ELEMS);
uneven_copy(buffer, dest, dest+size);
} else {
uint32_t* buffer = static_cast<uint32_t*>(malloc(GEN_SIZE * FROM_ELEMS));
generator.generate(buffer, buffer+FROM_ELEMS);
uneven_copy(buffer, dest, dest+size);
free(static_cast<void*>(buffer));
}
}
template <size_t size, typename SeedSeq, typename DestIter>
inline void generate_to(SeedSeq&& generator, DestIter dest)
{
typedef typename std::iterator_traits<DestIter>::value_type dest_t;
constexpr bool IS_32BIT = sizeof(dest_t) == sizeof(uint32_t);
generate_to_impl<size>(std::forward<SeedSeq>(generator), dest,
std::integral_constant<bool, IS_32BIT>{});
}
/* generate_one, produce a value of integral type using a SeedSeq
* (optionally, we can have it produce more than one and pick which one
* we want)
*/
template <typename UInt, size_t i = 0UL, size_t N = i+1UL, typename SeedSeq>
inline UInt generate_one(SeedSeq&& generator)
{
UInt result[N];
generate_to<N>(std::forward<SeedSeq>(generator), result);
return result[i];
}
template <typename RngType>
auto bounded_rand(RngType& rng, typename RngType::result_type upper_bound)
-> typename RngType::result_type
{
typedef typename RngType::result_type rtype;
rtype threshold = (RngType::max() - RngType::min() + rtype(1) - upper_bound)
% upper_bound;
for (;;) {
rtype r = rng() - RngType::min();
if (r >= threshold)
return r % upper_bound;
}
}
template <typename Iter, typename RandType>
void shuffle(Iter from, Iter to, RandType&& rng)
{
typedef typename std::iterator_traits<Iter>::difference_type delta_t;
typedef typename std::remove_reference<RandType>::type::result_type result_t;
auto count = to - from;
while (count > 1) {
delta_t chosen = delta_t(bounded_rand(rng, result_t(count)));
--count;
--to;
using std::swap;
swap(*(from + chosen), *to);
}
}
/*
* Although std::seed_seq is useful, it isn't everything. Often we want to
* initialize a random-number generator some other way, such as from a random
* device.
*
* Technically, it does not meet the requirements of a SeedSequence because
* it lacks some of the rarely-used member functions (some of which would
* be impossible to provide). However the C++ standard is quite specific
* that actual engines only called the generate method, so it ought not to be
* a problem in practice.
*/
template <typename RngType>
class seed_seq_from {
private:
RngType rng_;
typedef uint_least32_t result_type;
public:
template<typename... Args>
seed_seq_from(Args&&... args) :
rng_(std::forward<Args>(args)...)
{
// Nothing (else) to do...
}
template<typename Iter>
void generate(Iter start, Iter finish)
{
for (auto i = start; i != finish; ++i)
*i = result_type(rng_());
}
constexpr size_t size() const
{
return (sizeof(typename RngType::result_type) > sizeof(result_type)
&& RngType::max() > ~size_t(0UL))
? ~size_t(0UL)
: size_t(RngType::max());
}
};
/*
* Sometimes you might want a distinct seed based on when the program
* was compiled. That way, a particular instance of the program will
* behave the same way, but when recompiled it'll produce a different
* value.
*/
template <typename IntType>
struct static_arbitrary_seed {
private:
static constexpr IntType fnv(IntType hash, const char* pos) {
return *pos == '\0'
? hash
: fnv((hash * IntType(16777619U)) ^ *pos, (pos+1));
}
public:
static constexpr IntType value = fnv(IntType(2166136261U ^ sizeof(IntType)),
__DATE__ __TIME__ __FILE__);
};
// Sometimes, when debugging or testing, it's handy to be able print the name
// of a (in human-readable form). This code allows the idiom:
//
// cout << printable_typename<my_foo_type_t>()
//
// to print out my_foo_type_t (or its concrete type if it is a synonym)
#if __cpp_rtti || __GXX_RTTI
template <typename T>
struct printable_typename {};
template <typename T>
std::ostream& operator<<(std::ostream& out, printable_typename<T>) {
const char *implementation_typename = typeid(T).name();
#ifdef __GNUC__
int status;
char* pretty_name =
abi::__cxa_demangle(implementation_typename, nullptr, nullptr, &status);
if (status == 0)
out << pretty_name;
free(static_cast<void*>(pretty_name));
if (status == 0)
return out;
#endif
out << implementation_typename;
return out;
}
#endif // __cpp_rtti || __GXX_RTTI
} // namespace pcg_extras
} // namespace arrow_vendored
#endif // PCG_EXTRAS_HPP_INCLUDED

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// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements. See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership. The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License. You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// 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.
#pragma once
#include <time.h>
#include "arrow/util/visibility.h"
#ifdef __cplusplus
extern "C" {
#endif
// A less featureful implementation of strptime() for platforms lacking
// a standard implementation (e.g. Windows).
ARROW_EXPORT char* arrow_strptime(const char* __restrict, const char* __restrict,
struct tm* __restrict);
#ifdef __cplusplus
} // extern "C"
#endif

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// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements. See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership. The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License. You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// 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.
#include "arrow/vendored/xxhash/xxhash.h"