author  Jonathan Watt <jwatt@jwatt.org> 
Mon, 06 May 2013 00:23:15 +0100  
changeset 141885  cf94844ab83f2c3c2db68e76b3d42d718fb45174 
parent 141884  61a824c4e12287a596a841a57db1a00b52f757bb 
child 141886  cc31f6926e5630b6bdb677c15ddafcc805ea38a8 
push id  2579 
push user  akeybl@mozilla.com 
push date  Mon, 24 Jun 2013 18:52:47 +0000 
treeherder  mozillabeta@b69b7de8a05a [default view] [failures only] 
perfherder  [talos] [build metrics] [platform microbench] (compared to previous push) 
reviewers  Waldo 
bugs  854531 
milestone  23.0a1 
first release with  nightly linux32
nightly linux64
nightly mac
nightly win32
nightly win64

last release without  nightly linux32
nightly linux64
nightly mac
nightly win32
nightly win64

new file mode 100644  /dev/null +++ b/mfbt/decimal/Decimal.cpp @@ 0,0 +1,1035 @@ +/* + * Copyright (C) 2012 Google Inc. 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. + */ + +#include "config.h" +#include "Decimal.h" + +#include <algorithm> +#include <float.h> + +#include <wtf/Assertions.h> +#include <wtf/MathExtras.h> +#include <wtf/Noncopyable.h> +#include <wtf/text/StringBuilder.h> + +namespace WebCore { + +namespace DecimalPrivate { + +static int const ExponentMax = 1023; +static int const ExponentMin = 1023; +static int const Precision = 18; + +static const uint64_t MaxCoefficient = UINT64_C(0x16345785D89FFFF); // 999999999999999999 == 18 9's + +// This class handles Decimal special values. +class SpecialValueHandler { + WTF_MAKE_NONCOPYABLE(SpecialValueHandler); +public: + enum HandleResult { + BothFinite, + BothInfinity, + EitherNaN, + LHSIsInfinity, + RHSIsInfinity, + }; + + SpecialValueHandler(const Decimal& lhs, const Decimal& rhs); + HandleResult handle(); + Decimal value() const; + +private: + enum Result { + ResultIsLHS, + ResultIsRHS, + ResultIsUnknown, + }; + + const Decimal& m_lhs; + const Decimal& m_rhs; + Result m_result; +}; + +SpecialValueHandler::SpecialValueHandler(const Decimal& lhs, const Decimal& rhs) + : m_lhs(lhs), m_rhs(rhs), m_result(ResultIsUnknown) +{ +} + +SpecialValueHandler::HandleResult SpecialValueHandler::handle() +{ + if (m_lhs.isFinite() && m_rhs.isFinite()) + return BothFinite; + + const Decimal::EncodedData::FormatClass lhsClass = m_lhs.value().formatClass(); + const Decimal::EncodedData::FormatClass rhsClass = m_rhs.value().formatClass(); + if (lhsClass == Decimal::EncodedData::ClassNaN) { + m_result = ResultIsLHS; + return EitherNaN; + } + + if (rhsClass == Decimal::EncodedData::ClassNaN) { + m_result = ResultIsRHS; + return EitherNaN; + } + + if (lhsClass == Decimal::EncodedData::ClassInfinity) + return rhsClass == Decimal::EncodedData::ClassInfinity ? BothInfinity : LHSIsInfinity; + + if (rhsClass == Decimal::EncodedData::ClassInfinity) + return RHSIsInfinity; + + ASSERT_NOT_REACHED(); + return BothFinite; +} + +Decimal SpecialValueHandler::value() const +{ + switch (m_result) { + case ResultIsLHS: + return m_lhs; + case ResultIsRHS: + return m_rhs; + case ResultIsUnknown: + default: + ASSERT_NOT_REACHED(); + return m_lhs; + } +} + +// This class is used for 128 bit unsigned integer arithmetic. +class UInt128 { +public: + UInt128(uint64_t low, uint64_t high) + : m_high(high), m_low(low) + { + } + + UInt128& operator/=(uint32_t); + + uint64_t high() const { return m_high; } + uint64_t low() const { return m_low; } + + static UInt128 multiply(uint64_t u, uint64_t v) { return UInt128(u * v, multiplyHigh(u, v)); } + +private: + static uint32_t highUInt32(uint64_t x) { return static_cast<uint32_t>(x >> 32); } + static uint32_t lowUInt32(uint64_t x) { return static_cast<uint32_t>(x & ((static_cast<uint64_t>(1) << 32)  1)); } + bool isZero() const { return !m_low && !m_high; } + static uint64_t makeUInt64(uint32_t low, uint32_t high) { return low  (static_cast<uint64_t>(high) << 32); } + + static uint64_t multiplyHigh(uint64_t, uint64_t); + + uint64_t m_high; + uint64_t m_low; +}; + +UInt128& UInt128::operator/=(const uint32_t divisor) +{ + ASSERT(divisor); + + if (!m_high) { + m_low /= divisor; + return *this; + } + + uint32_t dividend[4]; + dividend[0] = lowUInt32(m_low); + dividend[1] = highUInt32(m_low); + dividend[2] = lowUInt32(m_high); + dividend[3] = highUInt32(m_high); + + uint32_t quotient[4]; + uint32_t remainder = 0; + for (int i = 3; i >= 0; i) { + const uint64_t work = makeUInt64(dividend[i], remainder); + remainder = static_cast<uint32_t>(work % divisor); + quotient[i] = static_cast<uint32_t>(work / divisor); + } + m_low = makeUInt64(quotient[0], quotient[1]); + m_high = makeUInt64(quotient[2], quotient[3]); + return *this; +} + +// Returns high 64bit of 128bit product. +uint64_t UInt128::multiplyHigh(uint64_t u, uint64_t v) +{ + const uint64_t uLow = lowUInt32(u); + const uint64_t uHigh = highUInt32(u); + const uint64_t vLow = lowUInt32(v); + const uint64_t vHigh = highUInt32(v); + const uint64_t partialProduct = uHigh * vLow + highUInt32(uLow * vLow); + return uHigh * vHigh + highUInt32(partialProduct) + highUInt32(uLow * vHigh + lowUInt32(partialProduct)); +} + +static int countDigits(uint64_t x) +{ + int numberOfDigits = 0; + for (uint64_t powerOfTen = 1; x >= powerOfTen; powerOfTen *= 10) { + ++numberOfDigits; + if (powerOfTen >= std::numeric_limits<uint64_t>::max() / 10) + break; + } + return numberOfDigits; +} + +static uint64_t scaleDown(uint64_t x, int n) +{ + ASSERT(n >= 0); + while (n > 0 && x) { + x /= 10; + n; + } + return x; +} + +static uint64_t scaleUp(uint64_t x, int n) +{ + ASSERT(n >= 0); + ASSERT(n < Precision); + + uint64_t y = 1; + uint64_t z = 10; + for (;;) { + if (n & 1) + y = y * z; + + n >>= 1; + if (!n) + return x * y; + + z = z * z; + } +} + +} // namespace DecimalPrivate + +using namespace DecimalPrivate; + +Decimal::EncodedData::EncodedData(Sign sign, FormatClass formatClass) + : m_coefficient(0) + , m_exponent(0) + , m_formatClass(formatClass) + , m_sign(sign) +{ +} + +Decimal::EncodedData::EncodedData(Sign sign, int exponent, uint64_t coefficient) + : m_formatClass(coefficient ? ClassNormal : ClassZero) + , m_sign(sign) +{ + if (exponent >= ExponentMin && exponent <= ExponentMax) { + while (coefficient > MaxCoefficient) { + coefficient /= 10; + ++exponent; + } + } + + if (exponent > ExponentMax) { + m_coefficient = 0; + m_exponent = 0; + m_formatClass = ClassInfinity; + return; + } + + if (exponent < ExponentMin) { + m_coefficient = 0; + m_exponent = 0; + m_formatClass = ClassZero; + return; + } + + m_coefficient = coefficient; + m_exponent = static_cast<int16_t>(exponent); +} + +bool Decimal::EncodedData::operator==(const EncodedData& another) const +{ + return m_sign == another.m_sign + && m_formatClass == another.m_formatClass + && m_exponent == another.m_exponent + && m_coefficient == another.m_coefficient; +} + +Decimal::Decimal(int32_t i32) + : m_data(i32 < 0 ? Negative : Positive, 0, i32 < 0 ? static_cast<uint64_t>(static_cast<int64_t>(i32)) : static_cast<uint64_t>(i32)) +{ +} + +Decimal::Decimal(Sign sign, int exponent, uint64_t coefficient) + : m_data(sign, exponent, coefficient) +{ +} + +Decimal::Decimal(const EncodedData& data) + : m_data(data) +{ +} + +Decimal::Decimal(const Decimal& other) + : m_data(other.m_data) +{ +} + +Decimal& Decimal::operator=(const Decimal& other) +{ + m_data = other.m_data; + return *this; +} + +Decimal& Decimal::operator+=(const Decimal& other) +{ + m_data = (*this + other).m_data; + return *this; +} + +Decimal& Decimal::operator=(const Decimal& other) +{ + m_data = (*this  other).m_data; + return *this; +} + +Decimal& Decimal::operator*=(const Decimal& other) +{ + m_data = (*this * other).m_data; + return *this; +} + +Decimal& Decimal::operator/=(const Decimal& other) +{ + m_data = (*this / other).m_data; + return *this; +} + +Decimal Decimal::operator() const +{ + if (isNaN()) + return *this; + + Decimal result(*this); + result.m_data.setSign(invertSign(m_data.sign())); + return result; +} + +Decimal Decimal::operator+(const Decimal& rhs) const +{ + const Decimal& lhs = *this; + const Sign lhsSign = lhs.sign(); + const Sign rhsSign = rhs.sign(); + + SpecialValueHandler handler(lhs, rhs); + switch (handler.handle()) { + case SpecialValueHandler::BothFinite: + break; + + case SpecialValueHandler::BothInfinity: + return lhsSign == rhsSign ? lhs : nan(); + + case SpecialValueHandler::EitherNaN: + return handler.value(); + + case SpecialValueHandler::LHSIsInfinity: + return lhs; + + case SpecialValueHandler::RHSIsInfinity: + return rhs; + } + + const AlignedOperands alignedOperands = alignOperands(lhs, rhs); + + const uint64_t result = lhsSign == rhsSign + ? alignedOperands.lhsCoefficient + alignedOperands.rhsCoefficient + : alignedOperands.lhsCoefficient  alignedOperands.rhsCoefficient; + + if (lhsSign == Negative && rhsSign == Positive && !result) + return Decimal(Positive, alignedOperands.exponent, 0); + + return static_cast<int64_t>(result) >= 0 + ? Decimal(lhsSign, alignedOperands.exponent, result) + : Decimal(invertSign(lhsSign), alignedOperands.exponent, static_cast<int64_t>(result)); +} + +Decimal Decimal::operator(const Decimal& rhs) const +{ + const Decimal& lhs = *this; + const Sign lhsSign = lhs.sign(); + const Sign rhsSign = rhs.sign(); + + SpecialValueHandler handler(lhs, rhs); + switch (handler.handle()) { + case SpecialValueHandler::BothFinite: + break; + + case SpecialValueHandler::BothInfinity: + return lhsSign == rhsSign ? nan() : lhs; + + case SpecialValueHandler::EitherNaN: + return handler.value(); + + case SpecialValueHandler::LHSIsInfinity: + return lhs; + + case SpecialValueHandler::RHSIsInfinity: + return infinity(invertSign(rhsSign)); + } + + const AlignedOperands alignedOperands = alignOperands(lhs, rhs); + + const uint64_t result = lhsSign == rhsSign + ? alignedOperands.lhsCoefficient  alignedOperands.rhsCoefficient + : alignedOperands.lhsCoefficient + alignedOperands.rhsCoefficient; + + if (lhsSign == Negative && rhsSign == Negative && !result) + return Decimal(Positive, alignedOperands.exponent, 0); + + return static_cast<int64_t>(result) >= 0 + ? Decimal(lhsSign, alignedOperands.exponent, result) + : Decimal(invertSign(lhsSign), alignedOperands.exponent, static_cast<int64_t>(result)); +} + +Decimal Decimal::operator*(const Decimal& rhs) const +{ + const Decimal& lhs = *this; + const Sign lhsSign = lhs.sign(); + const Sign rhsSign = rhs.sign(); + const Sign resultSign = lhsSign == rhsSign ? Positive : Negative; + + SpecialValueHandler handler(lhs, rhs); + switch (handler.handle()) { + case SpecialValueHandler::BothFinite: { + const uint64_t lhsCoefficient = lhs.m_data.coefficient(); + const uint64_t rhsCoefficient = rhs.m_data.coefficient(); + int resultExponent = lhs.exponent() + rhs.exponent(); + UInt128 work(UInt128::multiply(lhsCoefficient, rhsCoefficient)); + while (work.high()) { + work /= 10; + ++resultExponent; + } + return Decimal(resultSign, resultExponent, work.low()); + } + + case SpecialValueHandler::BothInfinity: + return infinity(resultSign); + + case SpecialValueHandler::EitherNaN: + return handler.value(); + + case SpecialValueHandler::LHSIsInfinity: + return rhs.isZero() ? nan() : infinity(resultSign); + + case SpecialValueHandler::RHSIsInfinity: + return lhs.isZero() ? nan() : infinity(resultSign); + } + + ASSERT_NOT_REACHED(); + return nan(); +} + +Decimal Decimal::operator/(const Decimal& rhs) const +{ + const Decimal& lhs = *this; + const Sign lhsSign = lhs.sign(); + const Sign rhsSign = rhs.sign(); + const Sign resultSign = lhsSign == rhsSign ? Positive : Negative; + + SpecialValueHandler handler(lhs, rhs); + switch (handler.handle()) { + case SpecialValueHandler::BothFinite: + break; + + case SpecialValueHandler::BothInfinity: + return nan(); + + case SpecialValueHandler::EitherNaN: + return handler.value(); + + case SpecialValueHandler::LHSIsInfinity: + return infinity(resultSign); + + case SpecialValueHandler::RHSIsInfinity: + return zero(resultSign); + } + + ASSERT(lhs.isFinite()); + ASSERT(rhs.isFinite()); + + if (rhs.isZero()) + return lhs.isZero() ? nan() : infinity(resultSign); + + int resultExponent = lhs.exponent()  rhs.exponent(); + + if (lhs.isZero()) + return Decimal(resultSign, resultExponent, 0); + + uint64_t remainder = lhs.m_data.coefficient(); + const uint64_t divisor = rhs.m_data.coefficient(); + uint64_t result = 0; + while (result < MaxCoefficient / 100) { + while (remainder < divisor) { + remainder *= 10; + result *= 10; + resultExponent; + } + result += remainder / divisor; + remainder %= divisor; + if (!remainder) + break; + } + + if (remainder > divisor / 2) + ++result; + + return Decimal(resultSign, resultExponent, result); +} + +bool Decimal::operator==(const Decimal& rhs) const +{ + return m_data == rhs.m_data  compareTo(rhs).isZero(); +} + +bool Decimal::operator!=(const Decimal& rhs) const +{ + if (m_data == rhs.m_data) + return false; + const Decimal result = compareTo(rhs); + if (result.isNaN()) + return false; + return !result.isZero(); +} + +bool Decimal::operator<(const Decimal& rhs) const +{ + const Decimal result = compareTo(rhs); + if (result.isNaN()) + return false; + return !result.isZero() && result.isNegative(); +} + +bool Decimal::operator<=(const Decimal& rhs) const +{ + if (m_data == rhs.m_data) + return true; + const Decimal result = compareTo(rhs); + if (result.isNaN()) + return false; + return result.isZero()  result.isNegative(); +} + +bool Decimal::operator>(const Decimal& rhs) const +{ + const Decimal result = compareTo(rhs); + if (result.isNaN()) + return false; + return !result.isZero() && result.isPositive(); +} + +bool Decimal::operator>=(const Decimal& rhs) const +{ + if (m_data == rhs.m_data) + return true; + const Decimal result = compareTo(rhs); + if (result.isNaN()) + return false; + return result.isZero()  !result.isNegative(); +} + +Decimal Decimal::abs() const +{ + Decimal result(*this); + result.m_data.setSign(Positive); + return result; +} + +Decimal::AlignedOperands Decimal::alignOperands(const Decimal& lhs, const Decimal& rhs) +{ + ASSERT(lhs.isFinite()); + ASSERT(rhs.isFinite()); + + const int lhsExponent = lhs.exponent(); + const int rhsExponent = rhs.exponent(); + int exponent = std::min(lhsExponent, rhsExponent); + uint64_t lhsCoefficient = lhs.m_data.coefficient(); + uint64_t rhsCoefficient = rhs.m_data.coefficient(); + + if (lhsExponent > rhsExponent) { + const int numberOfLHSDigits = countDigits(lhsCoefficient); + if (numberOfLHSDigits) { + const int lhsShiftAmount = lhsExponent  rhsExponent; + const int overflow = numberOfLHSDigits + lhsShiftAmount  Precision; + if (overflow <= 0) + lhsCoefficient = scaleUp(lhsCoefficient, lhsShiftAmount); + else { + lhsCoefficient = scaleUp(lhsCoefficient, lhsShiftAmount  overflow); + rhsCoefficient = scaleDown(rhsCoefficient, overflow); + exponent += overflow; + } + } + + } else if (lhsExponent < rhsExponent) { + const int numberOfRHSDigits = countDigits(rhsCoefficient); + if (numberOfRHSDigits) { + const int rhsShiftAmount = rhsExponent  lhsExponent; + const int overflow = numberOfRHSDigits + rhsShiftAmount  Precision; + if (overflow <= 0) + rhsCoefficient = scaleUp(rhsCoefficient, rhsShiftAmount); + else { + rhsCoefficient = scaleUp(rhsCoefficient, rhsShiftAmount  overflow); + lhsCoefficient = scaleDown(lhsCoefficient, overflow); + exponent += overflow; + } + } + } + + AlignedOperands alignedOperands; + alignedOperands.exponent = exponent; + alignedOperands.lhsCoefficient = lhsCoefficient; + alignedOperands.rhsCoefficient = rhsCoefficient; + return alignedOperands; +} + +// Round toward positive infinity. +// Note: Mac ports defines ceil(x) as wtf_ceil(x), so we can't use name "ceil" here. +Decimal Decimal::ceiling() const +{ + if (isSpecial()) + return *this; + + if (exponent() >= 0) + return *this; + + uint64_t result = m_data.coefficient(); + const int numberOfDigits = countDigits(result); + const int numberOfDropDigits = exponent(); + if (numberOfDigits < numberOfDropDigits) + return isPositive() ? Decimal(1) : zero(Positive); + + result = scaleDown(result, numberOfDropDigits  1); + if (sign() == Positive && result % 10 > 0) + result += 10; + result /= 10; + return Decimal(sign(), 0, result); +} + +Decimal Decimal::compareTo(const Decimal& rhs) const +{ + const Decimal result(*this  rhs); + switch (result.m_data.formatClass()) { + case EncodedData::ClassInfinity: + return result.isNegative() ? Decimal(1) : Decimal(1); + + case EncodedData::ClassNaN: + case EncodedData::ClassNormal: + return result; + + case EncodedData::ClassZero: + return zero(Positive); + + default: + ASSERT_NOT_REACHED(); + return nan(); + } +} + +// Round toward negative infinity. +Decimal Decimal::floor() const +{ + if (isSpecial()) + return *this; + + if (exponent() >= 0) + return *this; + + uint64_t result = m_data.coefficient(); + const int numberOfDigits = countDigits(result); + const int numberOfDropDigits = exponent(); + if (numberOfDigits < numberOfDropDigits) + return isPositive() ? zero(Positive) : Decimal(1); + + result = scaleDown(result, numberOfDropDigits  1); + if (isNegative() && result % 10 > 0) + result += 10; + result /= 10; + return Decimal(sign(), 0, result); +} + +Decimal Decimal::fromDouble(double doubleValue) +{ + if (std::isfinite(doubleValue)) + return fromString(String::numberToStringECMAScript(doubleValue)); + + if (std::isinf(doubleValue)) + return infinity(doubleValue < 0 ? Negative : Positive); + + return nan(); +} + +Decimal Decimal::fromString(const String& str) +{ + int exponent = 0; + Sign exponentSign = Positive; + int numberOfDigits = 0; + int numberOfDigitsAfterDot = 0; + int numberOfExtraDigits = 0; + Sign sign = Positive; + + enum { + StateDigit, + StateDot, + StateDotDigit, + StateE, + StateEDigit, + StateESign, + StateSign, + StateStart, + StateZero, + } state = StateStart; + +#define HandleCharAndBreak(expected, nextState) \ + if (ch == expected) { \ + state = nextState; \ + break; \ + } + +#define HandleTwoCharsAndBreak(expected1, expected2, nextState) \ + if (ch == expected1  ch == expected2) { \ + state = nextState; \ + break; \ + } + + uint64_t accumulator = 0; + for (unsigned index = 0; index < str.length(); ++index) { + const int ch = str[index]; + switch (state) { + case StateDigit: + if (ch >= '0' && ch <= '9') { + if (numberOfDigits < Precision) { + ++numberOfDigits; + accumulator *= 10; + accumulator += ch  '0'; + } else + ++numberOfExtraDigits; + break; + } + + HandleCharAndBreak('.', StateDot); + HandleTwoCharsAndBreak('E', 'e', StateE); + return nan(); + + case StateDot: + if (ch >= '0' && ch <= '9') { + if (numberOfDigits < Precision) { + ++numberOfDigits; + ++numberOfDigitsAfterDot; + accumulator *= 10; + accumulator += ch  '0'; + } + state = StateDotDigit; + break; + } + + case StateDotDigit: + if (ch >= '0' && ch <= '9') { + if (numberOfDigits < Precision) { + ++numberOfDigits; + ++numberOfDigitsAfterDot; + accumulator *= 10; + accumulator += ch  '0'; + } + break; + } + + HandleTwoCharsAndBreak('E', 'e', StateE); + return nan(); + + case StateE: + if (ch == '+') { + exponentSign = Positive; + state = StateESign; + break; + } + + if (ch == '') { + exponentSign = Negative; + state = StateESign; + break; + } + + if (ch >= '0' && ch <= '9') { + exponent = ch  '0'; + state = StateEDigit; + break; + } + + return nan(); + + case StateEDigit: + if (ch >= '0' && ch <= '9') { + exponent *= 10; + exponent += ch  '0'; + if (exponent > ExponentMax + Precision) { + if (accumulator) + return exponentSign == Negative ? zero(Positive) : infinity(sign); + return zero(sign); + } + state = StateEDigit; + break; + } + + return nan(); + + case StateESign: + if (ch >= '0' && ch <= '9') { + exponent = ch  '0'; + state = StateEDigit; + break; + } + + return nan(); + + case StateSign: + if (ch >= '1' && ch <= '9') { + accumulator = ch  '0'; + numberOfDigits = 1; + state = StateDigit; + break; + } + + HandleCharAndBreak('0', StateZero); + return nan(); + + case StateStart: + if (ch >= '1' && ch <= '9') { + accumulator = ch  '0'; + numberOfDigits = 1; + state = StateDigit; + break; + } + + if (ch == '') { + sign = Negative; + state = StateSign; + break; + } + + if (ch == '+') { + sign = Positive; + state = StateSign; + break; + } + + HandleCharAndBreak('0', StateZero); + HandleCharAndBreak('.', StateDot); + return nan(); + + case StateZero: + if (ch == '0') + break; + + if (ch >= '1' && ch <= '9') { + accumulator = ch  '0'; + numberOfDigits = 1; + state = StateDigit; + break; + } + + HandleCharAndBreak('.', StateDot); + HandleTwoCharsAndBreak('E', 'e', StateE); + return nan(); + + default: + ASSERT_NOT_REACHED(); + return nan(); + } + } + + if (state == StateZero) + return zero(sign); + + if (state == StateDigit  state == StateEDigit  state == StateDotDigit) { + int resultExponent = exponent * (exponentSign == Negative ? 1 : 1)  numberOfDigitsAfterDot + numberOfExtraDigits; + if (resultExponent < ExponentMin) + return zero(Positive); + + const int overflow = resultExponent  ExponentMax + 1; + if (overflow > 0) { + if (overflow + numberOfDigits  numberOfDigitsAfterDot > Precision) + return infinity(sign); + accumulator = scaleUp(accumulator, overflow); + resultExponent = overflow; + } + + return Decimal(sign, resultExponent, accumulator); + } + + return nan(); +} + +Decimal Decimal::infinity(const Sign sign) +{ + return Decimal(EncodedData(sign, EncodedData::ClassInfinity)); +} + +Decimal Decimal::nan() +{ + return Decimal(EncodedData(Positive, EncodedData::ClassNaN)); +} + +Decimal Decimal::remainder(const Decimal& rhs) const +{ + const Decimal quotient = *this / rhs; + return quotient.isSpecial() ? quotient : *this  (quotient.isNegative() ? quotient.ceiling() : quotient.floor()) * rhs; +} + +Decimal Decimal::round() const +{ + if (isSpecial()) + return *this; + + if (exponent() >= 0) + return *this; + + uint64_t result = m_data.coefficient(); + const int numberOfDigits = countDigits(result); + const int numberOfDropDigits = exponent(); + if (numberOfDigits < numberOfDropDigits) + return zero(Positive); + + result = scaleDown(result, numberOfDropDigits  1); + if (result % 10 >= 5) + result += 10; + result /= 10; + return Decimal(sign(), 0, result); +} + +double Decimal::toDouble() const +{ + if (isFinite()) { + bool valid; + const double doubleValue = toString().toDouble(&valid); + return valid ? doubleValue : std::numeric_limits<double>::quiet_NaN(); + } + + if (isInfinity()) + return isNegative() ? std::numeric_limits<double>::infinity() : std::numeric_limits<double>::infinity(); + + return std::numeric_limits<double>::quiet_NaN(); +} + +String Decimal::toString() const +{ + switch (m_data.formatClass()) { + case EncodedData::ClassInfinity: + return sign() ? "Infinity" : "Infinity"; + + case EncodedData::ClassNaN: + return "NaN"; + + case EncodedData::ClassNormal: + case EncodedData::ClassZero: + break; + + default: + ASSERT_NOT_REACHED(); + return ""; + } + + StringBuilder builder; + if (sign()) + builder.append(''); + + int originalExponent = exponent(); + uint64_t coefficient = m_data.coefficient(); + + if (originalExponent < 0) { + const int maxDigits = DBL_DIG; + uint64_t lastDigit = 0; + while (countDigits(coefficient) > maxDigits) { + lastDigit = coefficient % 10; + coefficient /= 10; + ++originalExponent; + } + + if (lastDigit >= 5) + ++coefficient; + + while (originalExponent < 0 && coefficient && !(coefficient % 10)) { + coefficient /= 10; + ++originalExponent; + } + } + + const String digits = String::number(coefficient); + int coefficientLength = static_cast<int>(digits.length()); + const int adjustedExponent = originalExponent + coefficientLength  1; + if (originalExponent <= 0 && adjustedExponent >= 6) { + if (!originalExponent) { + builder.append(digits); + return builder.toString(); + } + + if (adjustedExponent >= 0) { + for (int i = 0; i < coefficientLength; ++i) { + builder.append(digits[i]); + if (i == adjustedExponent) + builder.append('.'); + } + return builder.toString(); + } + + builder.appendLiteral("0."); + for (int i = adjustedExponent + 1; i < 0; ++i) + builder.append('0'); + + builder.append(digits); + + } else { + builder.append(digits[0]); + while (coefficientLength >= 2 && digits[coefficientLength  1] == '0') + coefficientLength; + if (coefficientLength >= 2) { + builder.append('.'); + for (int i = 1; i < coefficientLength; ++i) + builder.append(digits[i]); + } + + if (adjustedExponent) { + builder.append(adjustedExponent < 0 ? "e" : "e+"); + builder.appendNumber(adjustedExponent); + } + } + return builder.toString(); +} + +Decimal Decimal::zero(Sign sign) +{ + return Decimal(EncodedData(sign, EncodedData::ClassZero)); +} + +} // namespace WebCore +
new file mode 100644  /dev/null +++ b/mfbt/decimal/Decimal.h @@ 0,0 +1,182 @@ +/* + * Copyright (C) 2012 Google Inc. 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 Decimal_h +#define Decimal_h + +#include <stdint.h> +#include <wtf/Assertions.h> +#include <wtf/text/WTFString.h> + +namespace WebCore { + +namespace DecimalPrivate { +class SpecialValueHandler; +} + +// This class represents decimal base floating point number. +// +// FIXME: Once all C++ compiler support decimal type, we should replace this +// class to compiler supported one. See below URI for current status of decimal +// type for C++: // http://www.openstd.org/jtc1/sc22/wg21/docs/papers/2006/n1977.html +class Decimal { + WTF_MAKE_FAST_ALLOCATED; +public: + enum Sign { + Positive, + Negative, + }; + + // You should not use EncodedData other than unit testing. + class EncodedData { + // For accessing FormatClass. + friend class Decimal; + friend class DecimalPrivate::SpecialValueHandler; + public: + EncodedData(Sign, int exponent, uint64_t coefficient); + + bool operator==(const EncodedData&) const; + bool operator!=(const EncodedData& another) const { return !operator==(another); } + + uint64_t coefficient() const { return m_coefficient; } + int countDigits() const; + int exponent() const { return m_exponent; } + bool isFinite() const { return !isSpecial(); } + bool isInfinity() const { return m_formatClass == ClassInfinity; } + bool isNaN() const { return m_formatClass == ClassNaN; } + bool isSpecial() const { return m_formatClass == ClassInfinity  m_formatClass == ClassNaN; } + bool isZero() const { return m_formatClass == ClassZero; } + Sign sign() const { return m_sign; } + void setSign(Sign sign) { m_sign = sign; } + + private: + enum FormatClass { + ClassInfinity, + ClassNormal, + ClassNaN, + ClassZero, + }; + + EncodedData(Sign, FormatClass); + FormatClass formatClass() const { return m_formatClass; } + + uint64_t m_coefficient; + int16_t m_exponent; + FormatClass m_formatClass; + Sign m_sign; + }; + + Decimal(int32_t = 0); + Decimal(Sign, int exponent, uint64_t coefficient); + Decimal(const Decimal&); + + Decimal& operator=(const Decimal&); + Decimal& operator+=(const Decimal&); + Decimal& operator=(const Decimal&); + Decimal& operator*=(const Decimal&); + Decimal& operator/=(const Decimal&); + + Decimal operator() const; + + bool operator==(const Decimal&) const; + bool operator!=(const Decimal&) const; + bool operator<(const Decimal&) const; + bool operator<=(const Decimal&) const; + bool operator>(const Decimal&) const; + bool operator>=(const Decimal&) const; + + Decimal operator+(const Decimal&) const; + Decimal operator(const Decimal&) const; + Decimal operator*(const Decimal&) const; + Decimal operator/(const Decimal&) const; + + int exponent() const + { + ASSERT(isFinite()); + return m_data.exponent(); + } + + bool isFinite() const { return m_data.isFinite(); } + bool isInfinity() const { return m_data.isInfinity(); } + bool isNaN() const { return m_data.isNaN(); } + bool isNegative() const { return sign() == Negative; } + bool isPositive() const { return sign() == Positive; } + bool isSpecial() const { return m_data.isSpecial(); } + bool isZero() const { return m_data.isZero(); } + + Decimal abs() const; + Decimal ceiling() const; + Decimal floor() const; + Decimal remainder(const Decimal&) const; + Decimal round() const; + + double toDouble() const; + // Note: toString method supports infinity and nan but fromString not. + String toString() const; + + static Decimal fromDouble(double); + // fromString supports following syntax EBNF: + // number ::= sign? digit+ ('.' digit*) (exponentmarker sign? digit+)? + //  sign? '.' digit+ (exponentmarker sign? digit+)? + // sign ::= '+'  '' + // exponentmarker ::= 'e'  'E' + // digit ::= '0'  '1'  ...  '9' + // Note: fromString doesn't support "infinity" and "nan". + static Decimal fromString(const String&); + static Decimal infinity(Sign); + static Decimal nan(); + static Decimal zero(Sign); + + // You should not use below methods. We expose them for unit testing. + explicit Decimal(const EncodedData&); + const EncodedData& value() const { return m_data; } + +private: + struct AlignedOperands { + uint64_t lhsCoefficient; + uint64_t rhsCoefficient; + int exponent; + }; + + Decimal(double); + Decimal compareTo(const Decimal&) const; + + static AlignedOperands alignOperands(const Decimal& lhs, const Decimal& rhs); + static inline Sign invertSign(Sign sign) { return sign == Negative ? Positive : Negative; } + + Sign sign() const { return m_data.sign(); } + + EncodedData m_data; +}; + +} // namespace WebCore + +#endif // Decimal_h +
new file mode 100644  /dev/null +++ b/mfbt/decimal/LICENSEAPPLE @@ 0,0 +1,21 @@ +Copyright (C) 2005, 2006, 2007, 2008, 2009 Apple Inc. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions +are met: +1. Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. +2. 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. + +THIS SOFTWARE IS PROVIDED BY APPLE INC. AND ITS 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 APPLE INC. OR ITS 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.
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