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Diffstat (limited to 'Source/JavaScriptCore/runtime/MathCommon.h')
-rw-r--r-- | Source/JavaScriptCore/runtime/MathCommon.h | 212 |
1 files changed, 212 insertions, 0 deletions
diff --git a/Source/JavaScriptCore/runtime/MathCommon.h b/Source/JavaScriptCore/runtime/MathCommon.h new file mode 100644 index 000000000..d776b9d90 --- /dev/null +++ b/Source/JavaScriptCore/runtime/MathCommon.h @@ -0,0 +1,212 @@ +/* + * Copyright (C) 2015-2016 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. ``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 + * 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. + */ + +#pragma once + +#include <cmath> +#include <wtf/Optional.h> + +namespace JSC { + +const int32_t maxExponentForIntegerMathPow = 1000; +double JIT_OPERATION operationMathPow(double x, double y) WTF_INTERNAL; +int32_t JIT_OPERATION operationToInt32(double) WTF_INTERNAL; +int32_t JIT_OPERATION operationToInt32SensibleSlow(double) WTF_INTERNAL; + +inline constexpr double maxSafeInteger() +{ + // 2 ^ 53 - 1 + return 9007199254740991.0; +} + +inline constexpr double minSafeInteger() +{ + // -(2 ^ 53 - 1) + return -9007199254740991.0; +} + +inline int clz32(uint32_t number) +{ +#if COMPILER(GCC_OR_CLANG) + int zeroCount = 32; + if (number) + zeroCount = __builtin_clz(number); + return zeroCount; +#else + int zeroCount = 0; + for (int i = 31; i >= 0; i--) { + if (!(number >> i)) + zeroCount++; + else + break; + } + return zeroCount; +#endif +} + +// This in the ToInt32 operation is defined in section 9.5 of the ECMA-262 spec. +// Note that this operation is identical to ToUInt32 other than to interpretation +// of the resulting bit-pattern (as such this method is also called to implement +// ToUInt32). +// +// The operation can be described as round towards zero, then select the 32 least +// bits of the resulting value in 2s-complement representation. +enum ToInt32Mode { + Generic, + AfterSensibleConversionAttempt, +}; +template<ToInt32Mode Mode> +ALWAYS_INLINE int32_t toInt32Internal(double number) +{ + uint64_t bits = WTF::bitwise_cast<uint64_t>(number); + int32_t exp = (static_cast<int32_t>(bits >> 52) & 0x7ff) - 0x3ff; + + // If exponent < 0 there will be no bits to the left of the decimal point + // after rounding; if the exponent is > 83 then no bits of precision can be + // left in the low 32-bit range of the result (IEEE-754 doubles have 52 bits + // of fractional precision). + // Note this case handles 0, -0, and all infinite, NaN, & denormal value. + + // We need to check exp > 83 because: + // 1. exp may be used as a left shift value below in (exp - 52), and + // 2. Left shift amounts that exceed 31 results in undefined behavior. See: + // http://en.cppreference.com/w/cpp/language/operator_arithmetic#Bitwise_shift_operators + // + // Using an unsigned comparison here also gives us a exp < 0 check for free. + if (static_cast<uint32_t>(exp) > 83u) + return 0; + + // Select the appropriate 32-bits from the floating point mantissa. If the + // exponent is 52 then the bits we need to select are already aligned to the + // lowest bits of the 64-bit integer representation of the number, no need + // to shift. If the exponent is greater than 52 we need to shift the value + // left by (exp - 52), if the value is less than 52 we need to shift right + // accordingly. + uint32_t result = (exp > 52) + ? static_cast<uint32_t>(bits << (exp - 52)) + : static_cast<uint32_t>(bits >> (52 - exp)); + + // IEEE-754 double precision values are stored omitting an implicit 1 before + // the decimal point; we need to reinsert this now. We may also the shifted + // invalid bits into the result that are not a part of the mantissa (the sign + // and exponent bits from the floatingpoint representation); mask these out. + // Note that missingOne should be held as uint32_t since ((1 << 31) - 1) causes + // int32_t overflow. + if (Mode == ToInt32Mode::AfterSensibleConversionAttempt) { + if (exp == 31) { + // This is an optimization for when toInt32() is called in the slow path + // of a JIT operation. Currently, this optimization is only applicable for + // x86 ports. This optimization offers 5% performance improvement in + // kraken-crypto-pbkdf2. + // + // On x86, the fast path does a sensible double-to-int32 conversion, by + // first attempting to truncate the double value to int32 using the + // cvttsd2si_rr instruction. According to Intel's manual, cvttsd2si performs + // the following truncate operation: + // + // If src = NaN, +-Inf, or |(src)rz| > 0x7fffffff and (src)rz != 0x80000000, + // then the result becomes 0x80000000. Otherwise, the operation succeeds. + // + // Note that the ()rz notation means rounding towards zero. + // We'll call the slow case function only when the above cvttsd2si fails. The + // JIT code checks for fast path failure by checking if result == 0x80000000. + // Hence, the slow path will only see the following possible set of numbers: + // + // NaN, +-Inf, or |(src)rz| > 0x7fffffff. + // + // As a result, the exp of the double is always >= 31. We can take advantage + // of this by specifically checking for (exp == 31) and give the compiler a + // chance to constant fold the operations below. + const constexpr uint32_t missingOne = 1U << 31; + result &= missingOne - 1; + result += missingOne; + } + } else { + if (exp < 32) { + const uint32_t missingOne = 1U << exp; + result &= missingOne - 1; + result += missingOne; + } + } + + // If the input value was negative (we could test either 'number' or 'bits', + // but testing 'bits' is likely faster) invert the result appropriately. + return static_cast<int64_t>(bits) < 0 ? -static_cast<int32_t>(result) : static_cast<int32_t>(result); +} + +ALWAYS_INLINE int32_t toInt32(double number) +{ + return toInt32Internal<ToInt32Mode::Generic>(number); +} + +// This implements ToUInt32, defined in ECMA-262 9.6. +inline uint32_t toUInt32(double number) +{ + // As commented in the spec, the operation of ToInt32 and ToUint32 only differ + // in how the result is interpreted; see NOTEs in sections 9.5 and 9.6. + return toInt32(number); +} + +inline std::optional<double> safeReciprocalForDivByConst(double constant) +{ + // No "weird" numbers (NaN, Denormal, etc). + if (!constant || !std::isnormal(constant)) + return std::nullopt; + + int exponent; + if (std::frexp(constant, &exponent) != 0.5) + return std::nullopt; + + // Note that frexp() returns the value divided by two + // so we to offset this exponent by one. + exponent -= 1; + + // A double exponent is between -1022 and 1023. + // Nothing we can do to invert 1023. + if (exponent == 1023) + return std::nullopt; + + double reciprocal = std::ldexp(1, -exponent); + ASSERT(std::isnormal(reciprocal)); + ASSERT(1. / constant == reciprocal); + ASSERT(constant == 1. / reciprocal); + ASSERT(1. == constant * reciprocal); + + return reciprocal; +} + +extern "C" { +double JIT_OPERATION jsRound(double value) REFERENCED_FROM_ASM WTF_INTERNAL; + +// On Windows we need to wrap fmod; on other platforms we can call it directly. +// On ARMv7 we assert that all function pointers have to low bit set (point to thumb code). +#if CALLING_CONVENTION_IS_STDCALL || CPU(ARM_THUMB2) +double JIT_OPERATION jsMod(double x, double y) REFERENCED_FROM_ASM WTF_INTERNAL; +#else +#define jsMod fmod +#endif +} + +} // namespace JSC |