/* * 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. */ #ifndef MathCommon_h #define MathCommon_h #include "JITOperations.h" #include "MacroAssemblerCodeRef.h" #include #include #ifndef JIT_OPERATION #define JIT_OPERATION #endif 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; 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 metod is also called to implement // ToUInt32). // // The operation can be descibed as round towards zero, then select the 32 least // bits of the resulting value in 2s-complement representation. ALWAYS_INLINE int32_t toInt32(double number) { int64_t bits = WTF::bitwise_cast(number); int32_t exp = (static_cast(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 infinte, NaN, & denormal value. if (exp < 0 || exp > 83) 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 tghe 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. int32_t result = (exp > 52) ? static_cast(bits << (exp - 52)) : static_cast(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. if (exp < 32) { int32_t missingOne = 1 << 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 bits < 0 ? -result : result; } inline Optional safeReciprocalForDivByConst(double constant) { // No "weird" numbers (NaN, Denormal, etc). if (!constant || !std::isnormal(constant)) return Nullopt; int exponent; if (std::frexp(constant, &exponent) != 0.5) return 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 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 } } #endif // MathCommon_h