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authorLorry Tar Creator <lorry-tar-importer@lorry>2017-06-27 06:07:23 +0000
committerLorry Tar Creator <lorry-tar-importer@lorry>2017-06-27 06:07:23 +0000
commit1bf1084f2b10c3b47fd1a588d85d21ed0eb41d0c (patch)
tree46dcd36c86e7fbc6e5df36deb463b33e9967a6f7 /Source/JavaScriptCore/runtime/MathCommon.h
parent32761a6cee1d0dee366b885b7b9c777e67885688 (diff)
downloadWebKitGtk-tarball-master.tar.gz
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+/*
+ * 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