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MathLibrary.cpp
1869 lines (1567 loc) · 65 KB
/
MathLibrary.cpp
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//-------------------------------------------------------------------------------------------------------
// Copyright (C) Microsoft. All rights reserved.
// Licensed under the MIT license. See LICENSE.txt file in the project root for full license information.
//-------------------------------------------------------------------------------------------------------
#include "RuntimeLibraryPch.h"
#include "Language/JavascriptMathOperators.h"
#include "Math/CrtSSE2Math.h"
#include <math.h>
const LPCWSTR UCrtC99MathApis::LibraryName = _u("api-ms-win-crt-math-l1-1-0.dll");
void UCrtC99MathApis::Ensure()
{
if (m_isInit)
{
return;
}
DelayLoadLibrary::EnsureFromSystemDirOnly();
if (IsAvailable())
{
m_pfnlog2 = (PFNMathFn)GetFunction("log2");
m_pfnlog1p = (PFNMathFn)GetFunction("log1p");
m_pfnexpm1 = (PFNMathFn)GetFunction("expm1");
m_pfnacosh = (PFNMathFn)GetFunction("acosh");
m_pfnasinh = (PFNMathFn)GetFunction("asinh");
m_pfnatanh = (PFNMathFn)GetFunction("atanh");
m_pfntrunc = (PFNMathFn)GetFunction("trunc");
m_pfncbrt = (PFNMathFn)GetFunction("cbrt");
if (m_pfnlog2 == nullptr ||
m_pfnlog1p == nullptr ||
m_pfnexpm1 == nullptr ||
m_pfnacosh == nullptr ||
m_pfnasinh == nullptr ||
m_pfnatanh == nullptr ||
m_pfntrunc == nullptr ||
m_pfncbrt == nullptr)
{
// If any of the APIs fail to load then presume the entire module is bogus and free it
FreeLibrary(m_hModule);
m_hModule = nullptr;
}
}
}
namespace Js
{
const double Math::PI = 3.1415926535897931;
const double Math::E = 2.7182818284590451;
const double Math::LN10 = 2.3025850929940459;
const double Math::LN2 = 0.69314718055994529;
const double Math::LOG2E = 1.4426950408889634;
const double Math::LOG10E = 0.43429448190325182;
const double Math::SQRT1_2 = 0.70710678118654757;
const double Math::SQRT2 = 1.4142135623730951;
const double Math::EPSILON = 2.2204460492503130808472633361816e-16;
const double Math::MAX_SAFE_INTEGER = 9007199254740991.0;
const double Math::MIN_SAFE_INTEGER = -9007199254740991.0;
///----------------------------------------------------------------------------
/// Abs() returns the absolute value of the given number, as described in
/// (ES5.0: S15.8.2.1).
///----------------------------------------------------------------------------
Var Math::Abs(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
Var arg = args[1];
if (TaggedInt::Is(arg))
{
#if defined(TARGET_64)
__int64 result = ::_abs64(TaggedInt::ToInt32(arg));
#else
__int32 result = ::abs(TaggedInt::ToInt32(arg));
#endif
return JavascriptNumber::ToVar(result, scriptContext);
}
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Abs(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Abs(double x)
{
// ::fabs if linked from UCRT changes FPU ctrl word for NaN input
if (NumberUtilities::IsNan(x))
{
// canonicalize to 0xFFF8000..., so we can tag correctly on x64.
return NumberConstants::NaN;
}
return ::fabs(x);
}
///----------------------------------------------------------------------------
/// Acos() returns the arc-cosine of the given angle in radians, as described
/// in (ES5.0: S15.8.2.2).
///----------------------------------------------------------------------------
Var Math::Acos(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Acos(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Acos(double x)
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm {
movsd xmm0, x
call dword ptr [__libm_sse2_acos]
movsd result, xmm0
}
}
else
#endif
{
result = ::acos(x);
}
return result;
}
///----------------------------------------------------------------------------
/// Asin() returns the arc-sine of the given angle in radians, as described in
/// (ES5.0: S15.8.2.3).
///----------------------------------------------------------------------------
Var Math::Asin(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Asin(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Asin(double x)
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm {
movsd xmm0, x
call dword ptr [__libm_sse2_asin]
movsd result, xmm0
}
}
else
#endif
{
result = ::asin(x);
}
return result;
}
///----------------------------------------------------------------------------
/// Atan() returns the arc-tangent of the given angle in radians, as described
/// in (ES5.0: S15.8.2.4).
///----------------------------------------------------------------------------
Var Math::Atan(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Atan(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Atan(double x)
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm {
movsd xmm0, x
call dword ptr [__libm_sse2_atan]
movsd result, xmm0
}
}
else
#endif
{
result = ::atan(x);
}
return result;
}
///----------------------------------------------------------------------------
/// Atan2() returns the arc-tangent of the angle described by the given x and y
/// lengths, as described in (ES5.0: S15.8.2.5).
///----------------------------------------------------------------------------
Var Math::Atan2(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 3)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double y = JavascriptConversion::ToNumber(args[2], scriptContext);
double result = Math::Atan2(x,y);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Atan2( double x, double y )
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm
{
movsd xmm0, x
movsd xmm1, y
call dword ptr[__libm_sse2_atan2]
movsd result, xmm0
}
}
else
#endif
{
result = ::atan2(x, y);
}
return result;
}
///----------------------------------------------------------------------------
/// Ceil() returns the smallest (closest to -Inf) number value that is not less
/// than x and is equal to an integer, as described in (ES5.0: S15.8.2.6).
///----------------------------------------------------------------------------
#pragma warning(push)
#pragma warning(disable:4700) // uninitialized local variable 'output' used, for call to _mm_ceil_sd
Var Math::Ceil(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
Var inputArg = args[1];
if (TaggedInt::Is(inputArg))
{
return inputArg;
}
double x = JavascriptConversion::ToNumber(inputArg, scriptContext);
#if defined(_M_ARM32_OR_ARM64)
if (Js::JavascriptNumber::IsNan(x))
{
return scriptContext->GetLibrary()->GetNaN();
}
#endif
#if (defined(_M_IX86) || defined(_M_X64)) \
&& (__SSE4_1__ || _WIN32) // _mm_ceil_sd needs this
if (AutoSystemInfo::Data.SSE4_1Available())
{
__m128d input, output;
input = _mm_load_sd(&x);
output = _mm_ceil_sd(input, input);
int intResult = _mm_cvtsd_si32(output);
if (TaggedInt::IsOverflow(intResult) || intResult == 0 || intResult == 0x80000000)
{
double dblResult;
_mm_store_sd(&dblResult, output);
if (intResult == 0 && !JavascriptNumber::IsNegZero(dblResult))
{
return JavascriptNumber::ToVar(0, scriptContext);
}
Assert(dblResult == ::ceil(x) || Js::JavascriptNumber::IsNan(dblResult));
return JavascriptNumber::ToVarNoCheck(dblResult, scriptContext);
}
else
{
return JavascriptNumber::ToVar(intResult, scriptContext);
}
}
else
#endif
{
double result = ::ceil(x);
intptr_t intResult = (intptr_t)result;
if (TaggedInt::IsOverflow(intResult) || JavascriptNumber::IsNegZero(result))
{
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return JavascriptNumber::ToVar(intResult, scriptContext);
}
}
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
#pragma warning(pop)
///----------------------------------------------------------------------------
/// Cos() returns the cosine of the given angle in radians, as described in
/// (ES5.0: S15.8.2.7).
///----------------------------------------------------------------------------
Var Math::Cos(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Cos(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Cos(double x)
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm {
movsd xmm0, x
call dword ptr [__libm_sse2_cos]
movsd result, xmm0
}
}
else
#endif
{
result = ::cos(x);
}
return result;
}
///----------------------------------------------------------------------------
/// Exp() returns e^x, as described in (ES5.0: S15.8.2.8).
///----------------------------------------------------------------------------
Var Math::Exp(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Exp(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Exp(double x)
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm {
movsd xmm0, x
call dword ptr [__libm_sse2_exp]
movsd result, xmm0
}
}
else
#endif
{
result = ::exp(x);
}
return result;
}
///----------------------------------------------------------------------------
/// Floor() returns the greatest (closest to +Inf) number value that is not
/// greater than x and is equal to an integer, as described in
/// (ES5.0: S15.8.2.9).
///----------------------------------------------------------------------------
Var Math::Floor(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
Var input = args[1];
if (TaggedInt::Is(input))
{
return input;
}
double x = JavascriptConversion::ToNumber(input, scriptContext);
#if defined(_M_ARM32_OR_ARM64)
if (Js::JavascriptNumber::IsNan(x))
{
return scriptContext->GetLibrary()->GetNaN();
}
#endif
return Math::FloorDouble(x, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
#pragma warning(push)
#pragma warning(disable:4700) // // uninitialized local variable 'output' used, for call to _mm_floor_sd
Var inline Math::FloorDouble(double d, ScriptContext *scriptContext)
{
// xplat-todo: use intrinsics here on linux
#ifdef _MSC_VER
#if defined(_M_IX86) || defined(_M_X64)
if (AutoSystemInfo::Data.SSE4_1Available())
{
__m128d input, output;
int intResult;
input = _mm_load_sd(&d);
if (d >= 0.0)
{
output = input;
}
else
{
output = _mm_floor_sd(input, input);
}
intResult = _mm_cvttsd_si32(output);
if (TaggedInt::IsOverflow(intResult) || intResult == 0x80000000 || JavascriptNumber::IsNegZero(d))
{
double dblResult;
if (d >= 0.0)
{
output = _mm_floor_sd(output, input);
}
_mm_store_sd(&dblResult, output);
Assert(dblResult == ::floor(d) || Js::JavascriptNumber::IsNan(dblResult));
return JavascriptNumber::ToVarNoCheck(dblResult, scriptContext);
}
else
{
Assert(intResult == (int)::floor(d));
return JavascriptNumber::ToVar(intResult, scriptContext);
}
}
else
#endif
#endif
{
intptr_t intResult;
if (d >= 0.0)
{
intResult = (intptr_t)d;
}
else
{
d = ::floor(d);
intResult = (intptr_t)d;
}
if (TaggedInt::IsOverflow(intResult) || JavascriptNumber::IsNegZero(d))
{
return JavascriptNumber::ToVarNoCheck(::floor(d), scriptContext);
}
else
{
return JavascriptNumber::ToVar(intResult, scriptContext);
}
}
}
#pragma warning(pop)
///----------------------------------------------------------------------------
/// Log() returns the natural logarithm of x, as described in
/// (ES5.0: S15.8.2.10).
///----------------------------------------------------------------------------
Var Math::Log(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double result = Math::Log(x);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Log(double x)
{
double result;
#if defined(_M_IX86) && defined(_WIN32)
// This is for perf, not for functionality
// If non Win32 CRT implementation already support SSE2,
// then we get most of the perf already.
if (AutoSystemInfo::Data.SSE2Available())
{
_asm {
movsd xmm0, x
call dword ptr [__libm_sse2_log]
movsd result, xmm0
}
}
else
#endif
{
result = ::log(x);
}
return result;
}
///----------------------------------------------------------------------------
/// Max() returns the maximum of a series of numbers, as described in
/// (ES5.0: S15.8.2.11):
/// - Arg:0 = "this"
/// - Arg:1-n = Values to compare
///----------------------------------------------------------------------------
Var Math::Max(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
bool hasOnlyIntegerArgs = false;
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count <= 1)
{
return scriptContext->GetLibrary()->GetNegativeInfinite();
}
else if (args.Info.Count == 2)
{
double result = JavascriptConversion::ToNumber(args[1], scriptContext);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
hasOnlyIntegerArgs = TaggedInt::OnlyContainsTaggedInt(args);
if (hasOnlyIntegerArgs && args.Info.Count == 3)
{
return TaggedInt::ToVarUnchecked(max(TaggedInt::ToInt32(args[1]), TaggedInt::ToInt32(args[2])));
}
}
if (hasOnlyIntegerArgs)
{
int32 current = TaggedInt::ToInt32(args[1]);
for (uint idxArg = 2; idxArg < args.Info.Count; idxArg++)
{
int32 compare = TaggedInt::ToInt32(args[idxArg]);
if (current < compare)
{
current = compare;
}
}
return TaggedInt::ToVarUnchecked(current);
}
else
{
double current = JavascriptConversion::ToNumber(args[1], scriptContext);
if (JavascriptNumber::IsNan(current))
{
return scriptContext->GetLibrary()->GetNaN();
}
for (uint idxArg = 2; idxArg < args.Info.Count; idxArg++)
{
double compare = JavascriptConversion::ToNumber(args[idxArg], scriptContext);
if (JavascriptNumber::IsNan(compare))
{
return scriptContext->GetLibrary()->GetNaN();
}
// In C++, -0.0f == 0.0f; however, in ES, -0.0f < 0.0f. Thus, use additional library
// call to test this comparison.
if ((compare == 0 && JavascriptNumber::IsNegZero(current)) ||
current < compare)
{
current = compare;
}
}
return JavascriptNumber::ToVarNoCheck(current, scriptContext);
}
}
///----------------------------------------------------------------------------
/// Min() returns the minimum of a series of numbers, as described in
/// (ES5.0: S15.8.2.12):
/// - Arg:0 = "this"
/// - Arg:1-n = Values to compare
///----------------------------------------------------------------------------
Var Math::Min(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
bool hasOnlyIntegerArgs = false;
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count <= 1)
{
return scriptContext->GetLibrary()->GetPositiveInfinite();
}
else if (args.Info.Count == 2)
{
double result = JavascriptConversion::ToNumber(args[1], scriptContext);
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
hasOnlyIntegerArgs = TaggedInt::OnlyContainsTaggedInt(args);
if (hasOnlyIntegerArgs && args.Info.Count == 3)
{
return TaggedInt::ToVarUnchecked(min(TaggedInt::ToInt32(args[1]), TaggedInt::ToInt32(args[2])));
}
}
if (hasOnlyIntegerArgs)
{
int32 current = TaggedInt::ToInt32(args[1]);
for (uint idxArg = 2; idxArg < args.Info.Count; idxArg++)
{
int32 compare = TaggedInt::ToInt32(args[idxArg]);
if (current > compare)
{
current = compare;
}
}
return TaggedInt::ToVarUnchecked(current);
}
else
{
double current = JavascriptConversion::ToNumber(args[1], scriptContext);
if (JavascriptNumber::IsNan(current))
{
return scriptContext->GetLibrary()->GetNaN();
}
for (uint idxArg = 2; idxArg < args.Info.Count; idxArg++)
{
double compare = JavascriptConversion::ToNumber(args[idxArg], scriptContext);
if (JavascriptNumber::IsNan(compare))
{
return scriptContext->GetLibrary()->GetNaN();
}
// In C++, -0.0f == 0.0f; however, in ES, -0.0f < 0.0f. Thus, use additional library
// call to test this comparison.
if ((current == 0 && JavascriptNumber::IsNegZero(compare)) ||
current > compare)
{
current = compare;
}
}
return JavascriptNumber::ToVarNoCheck(current, scriptContext);
}
}
///----------------------------------------------------------------------------
/// Pow() returns x ^ y, as described in (ES5.0: S15.8.2.13).
///----------------------------------------------------------------------------
Var Math::Pow(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 3)
{
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
double y = JavascriptConversion::ToNumber(args[2], scriptContext);
double result = Math::Pow( x, y );
return JavascriptNumber::ToVarNoCheck(result, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
double Math::Pow( double x, double y )
{
double result = 0;
#if defined(_M_IX86) && defined(_WIN32) // TODO: xplat support
// We can't just use "if (0 == y)" because NaN compares
// equal to 0 according to our compilers.
if( 0 == NumberUtilities::LuLoDbl( y ) && 0 == ( NumberUtilities::LuHiDbl( y ) & 0x7FFFFFFF ) )
{
// Result is 1 even if x is NaN.
result = 1;
}
else if( 1.0 == Math::Abs( x ) && !NumberUtilities::IsFinite( y ) )
{
result = JavascriptNumber::NaN;
}
else
{
int32 intY;
// range [-8, 8] is from JavascriptNumber::DirectPowDoubleInt
if (JavascriptNumber::TryGetInt32Value(y, &intY) && intY >= -8 && intY <= 8)
{
result = JavascriptNumber::DirectPowDoubleInt(x, intY);
}
else if( AutoSystemInfo::Data.SSE2Available() )
{
_asm {
movsd xmm0, x
movsd xmm1, y
call dword ptr[__libm_sse2_pow]
movsd result, xmm0
}
}
else
{
result = ::pow( x, y );
}
}
#else
result = JavascriptNumber::DirectPow( x, y );
#endif
return result;
}
///----------------------------------------------------------------------------
/// Random() returns a random number 0 <= n < 1.0, as described in
/// (ES5.0: S15.8.2.14).
///----------------------------------------------------------------------------
Var Math::Random(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
AssertMsg(callInfo.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
double res = JavascriptMath::Random(scriptContext);
return JavascriptNumber::ToVarNoCheck(res, scriptContext);
}
///----------------------------------------------------------------------------
/// Round() returns the number value that is closest to x and is equal to an
/// integer, as described in (ES5.0: S15.8.2.15).
///----------------------------------------------------------------------------
Var Math::Round(RecyclableObject* function, CallInfo callInfo, ...)
{
PROBE_STACK(function->GetScriptContext(), Js::Constants::MinStackDefault);
ARGUMENTS(args, callInfo);
AssertMsg(args.Info.Count > 0, "Should always have implicit 'this'");
ScriptContext* scriptContext = function->GetScriptContext();
Assert(!(callInfo.Flags & CallFlags_New));
if (args.Info.Count >= 2)
{
Var input = args[1];
if (TaggedInt::Is(input))
{
return input;
}
double x = JavascriptConversion::ToNumber(args[1], scriptContext);
if(JavascriptNumber::IsNan(x))
{
return scriptContext->GetLibrary()->GetNaN();
}
// for doubles, if x >= 2^52 or <= -2^52, x must be an integer, and adding 0.5 will overflow the
// integer to the next one. Therefore, we directly return x.
if (x == 0.0 || !NumberUtilities::IsFinite(x) || x >= 4503599627370496.0 || x <= -4503599627370496.0)
{
// 0.0 catches the -0 case...
return JavascriptNumber::ToVarNoCheck(x, scriptContext);
}
if (x > 0 && x < 0.5) {
return JavascriptNumber::ToVarNoCheck((double)Js::JavascriptNumber::k_Zero, scriptContext);
}
if(x < 0 && x >= -0.5)
{
return scriptContext->GetLibrary()->GetNegativeZero();
}
return Math::FloorDouble(x+0.5, scriptContext);
}
else
{
return scriptContext->GetLibrary()->GetNaN();
}
}
///----------------------------------------------------------------------------
/// Sin() returns the sine of the given angle in radians, as described in
/// (ES5.0: S15.8.2.16).
///----------------------------------------------------------------------------
Var Math::Sin(RecyclableObject* function, CallInfo callInfo, ...)