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fixes to std.math such that all unit tests pass on LDC 64bit windows. #7

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fixes to std.math such that all unit tests pass on LDC 64bit windows. #7

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cb4821d
Fix calling convention in naked assembly for atan2, rework from scra…
KevinBrogan Mar 2, 2015
db001ed
Convert constants to floating point. hex constants are not supported …
KevinBrogan Mar 2, 2015
a1fda18
formatting
KevinBrogan Mar 2, 2015
de01679
Disable some tests on LDC that are making an assumption that reals ar…
KevinBrogan Mar 2, 2015
b61137d
Targeted test disables to leave out 32 bit version of LDC.
KevinBrogan Mar 3, 2015
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285 changes: 167 additions & 118 deletions std/math.d
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Original file line number Diff line number Diff line change
Expand Up @@ -94,6 +94,14 @@ version(LDC)
}
}

version(LDC)
{
version(Win64)
{
version = LDC_Win64;
}
}

version(DigitalMars)
{
version = INLINE_YL2X; // x87 has opcodes for these
Expand Down Expand Up @@ -431,23 +439,25 @@ T floorImpl(T)(T x) @trusted pure nothrow @nogc

public:

// Values obtained from Wolfram Alpha. 116 bits ought to be enough for anybody.
// Wolfram Alpha LLC. 2011. Wolfram|Alpha. http://www.wolframalpha.com/input/?i=e+in+base+16 (access July 6, 2011).
enum real E = 0x1.5bf0a8b1457695355fb8ac404e7a8p+1L; /** e = 2.718281... */
enum real LOG2T = 0x1.a934f0979a3715fc9257edfe9b5fbp+1L; /** $(SUB log, 2)10 = 3.321928... */
enum real LOG2E = 0x1.71547652b82fe1777d0ffda0d23a8p+0L; /** $(SUB log, 2)e = 1.442695... */
enum real LOG2 = 0x1.34413509f79fef311f12b35816f92p-2L; /** $(SUB log, 10)2 = 0.301029... */
enum real LOG10E = 0x1.bcb7b1526e50e32a6ab7555f5a67cp-2L; /** $(SUB log, 10)e = 0.434294... */
enum real LN2 = 0x1.62e42fefa39ef35793c7673007e5fp-1L; /** ln 2 = 0.693147... */
enum real LN10 = 0x1.26bb1bbb5551582dd4adac5705a61p+1L; /** ln 10 = 2.302585... */
enum real PI = 0x1.921fb54442d18469898cc51701b84p+1L; /** $(_PI) = 3.141592... */
enum real PI_2 = PI/2; /** $(PI) / 2 = 1.570796... */
enum real PI_4 = PI/4; /** $(PI) / 4 = 0.785398... */
enum real M_1_PI = 0x1.45f306dc9c882a53f84eafa3ea69cp-2L; /** 1 / $(PI) = 0.318309... */
enum real M_2_PI = 2*M_1_PI; /** 2 / $(PI) = 0.636619... */
enum real M_2_SQRTPI = 0x1.20dd750429b6d11ae3a914fed7fd8p+0L; /** 2 / $(SQRT)$(PI) = 1.128379... */
enum real SQRT2 = 0x1.6a09e667f3bcc908b2fb1366ea958p+0L; /** $(SQRT)2 = 1.414213... */
enum real SQRT1_2 = SQRT2/2; /** $(SQRT)$(HALF) = 0.707106... */
// Values obtained from Wolfram Alpha.
// http://www.wolframalpha.com/input/?i=pi
// http://www.wolframalpha.com/input/?i=e in decimal
// etc
enum real E = 2.718281828459045235360287; /** e = 2.718281... */
enum real LOG2T = 3.321928094887362347870319; /** $(SUB log, 2)10 = 3.321928... */
enum real LOG2E = 1.442695040888963407359924; /** $(SUB log, 2)e = 1.442695... */
enum real LOG2 = 0.301029995663981195213738; /** $(SUB log, 10)2 = 0.301029... */
enum real LOG10E = 0.434294481903251827651128; /** $(SUB log, 10)e = 0.434294... */
enum real LN2 = 0.693147180559945309417232; /** ln 2 = 0.693147... */
enum real LN10 = 2.302585092994045684017991; /** ln 10 = 2.302585... */
enum real PI = 3.141592653589793238462643; /** $(_PI) = 3.141592... */
enum real PI_2 = 1.570796326794896619231321; /** $(PI) / 2 = 1.570796... */
enum real PI_4 = 0.785398163397448309615660; /** $(PI) / 4 = 0.785398... */
enum real M_1_PI = 0.318309886183790671537767; /** 1 / $(PI) = 0.318309... */
enum real M_2_PI = 0.636619772367581343075535; /** 2 / $(PI) = 0.636619... */
enum real M_2_SQRTPI = 1.128379167095512573896158; /** 2 / $(SQRT)$(PI) = 1.128379... */
enum real SQRT2 = 1.414213562373095048801688; /** $(SQRT)2 = 1.414213... */
enum real SQRT1_2 = 0.707106781186547524400844; /** $(SQRT)$(HALF) = 0.707106... */
// Note: Make sure the magic numbers in compiler backend for x87 match these.


Expand Down Expand Up @@ -792,33 +802,33 @@ Lret: {}
unittest
{
static real[2][] vals = // angle,tan
[
[ 0, 0],
[ .5, .5463024898],
[ 1, 1.557407725],
[ 1.5, 14.10141995],
[ 2, -2.185039863],
[ 2.5,-.7470222972],
[ 3, -.1425465431],
[ 3.5, .3745856402],
[ 4, 1.157821282],
[ 4.5, 4.637332055],
[ 5, -3.380515006],
[ 5.5,-.9955840522],
[ 6, -.2910061914],
[ 6.5, .2202772003],
[ 10, .6483608275],

// special angles
[ PI_4, 1],
//[ PI_2, real.infinity], // PI_2 is not _exactly_ pi/2.
[ 3*PI_4, -1],
[ PI, 0],
[ 5*PI_4, 1],
//[ 3*PI_2, -real.infinity],
[ 7*PI_4, -1],
[ 2*PI, 0],
];
[
[ 0, 0],
[ .5, .5463024898],
[ 1, 1.557407725],
[ 1.5, 14.10141995],
[ 2, -2.185039863],
[ 2.5,-.7470222972],
[ 3, -.1425465431],
[ 3.5, .3745856402],
[ 4, 1.157821282],
[ 4.5, 4.637332055],
[ 5, -3.380515006],
[ 5.5,-.9955840522],
[ 6, -.2910061914],
[ 6.5, .2202772003],
[ 10, .6483608275],

// special angles
[ PI_4, 1],
//[ PI_2, real.infinity], // PI_2 is not _exactly_ pi/2.
[ 3*PI_4, -1],
[ PI, 0],
[ 5*PI_4, 1],
//[ 3*PI_2, -real.infinity],
[ 7*PI_4, -1],
[ 2*PI, 0],
];
int i;

for (i = 0; i < vals.length; i++)
Expand Down Expand Up @@ -1017,11 +1027,18 @@ real atan2(real y, real x) @trusted pure nothrow @nogc
{
version (Win64)
{
asm {
asm
{
naked;
fld real ptr [RDX]; // y
fld real ptr [RCX]; // x
fpatan;
sub RSP,8; // space for one 64 bit value (no redzone allowed on win64)
movq [RSP], XMM1; // move xmm1 into memory
fld double ptr [RSP]; // load floating point stack
movq [RSP], XMM0; // move xmm0 into memory
fld double ptr [RSP]; // load floating point stack
fpatan; // calculate the result
fst double ptr [RSP]; // move result into memory
movq XMM0, [RSP]; // store the result in xmm0
add RSP,8; // restore stack
ret;
}
}
Expand Down Expand Up @@ -1245,9 +1262,13 @@ public:
real acosh(real x) @safe pure nothrow @nogc
{
if (x > 1/real.epsilon)
{
return LN2 + log(x);
}
else
{
return log(x + sqrt(x*x - 1));
}
}

/// ditto
Expand Down Expand Up @@ -1391,9 +1412,11 @@ extern (C) real rndtonl(real x);
*/
version(LDC)
{
real sqrt(real x) @safe pure nothrow @nogc { return llvm_sqrt(x); }
double sqrt(double x) @safe pure nothrow @nogc { return llvm_sqrt(x); }
float sqrt(float x) @safe pure nothrow @nogc { return llvm_sqrt(x); }
// http://llvm.org/docs/LangRef.html#llvm-sqrt-intrinsic
// sqrt(x) when x is less than zero is undefined
real sqrt(real x) @safe pure nothrow @nogc { return x<0?NAN:llvm_sqrt(x); }
double sqrt(double x) @safe pure nothrow @nogc { return x<0?NAN:llvm_sqrt(x); }
float sqrt(float x) @safe pure nothrow @nogc { return x<0?NAN:llvm_sqrt(x); }
}
else
{
Expand All @@ -1408,6 +1431,11 @@ real sqrt(real x) @nogc @safe pure nothrow; /* intrinsic */

}

unittest
{
assert(isNaN(sqrt(-1.0)));
}

unittest
{
//ctfe
Expand Down Expand Up @@ -2062,73 +2090,80 @@ unittest
}
}

unittest
version(LDC_Win64)
{
FloatingPointControl ctrl;
if(FloatingPointControl.hasExceptionTraps)
ctrl.disableExceptions(FloatingPointControl.allExceptions);
ctrl.rounding = FloatingPointControl.roundToNearest;

// @@BUG@@: Non-immutable array literals are ridiculous.
// Note that these are only valid for 80-bit reals: overflow will be different for 64-bit reals.
static const real [2][] exptestpoints =
[ // x, exp(x)
[1.0L, E ],
[0.5L, 0x1.A612_98E1_E069_BC97p+0L ],
[3.0L, E*E*E ],
[0x1.1p13L, 0x1.29aeffefc8ec645p+12557L ], // near overflow
[-0x1.18p13L, 0x1.5e4bf54b4806db9p-12927L ], // near underflow
[-0x1.625p13L, 0x1.a6bd68a39d11f35cp-16358L],
[-0x1p30L, 0 ], // underflow - subnormal
[-0x1.62DAFp13L, 0x1.96c53d30277021dp-16383L ],
[-0x1.643p13L, 0x1p-16444L ],
[-0x1.645p13L, 0 ], // underflow to zero
[0x1p80L, real.infinity ], // far overflow
[real.infinity, real.infinity ],
[0x1.7p13L, real.infinity ] // close overflow
];
real x;
IeeeFlags f;
for (int i=0; i<exptestpoints.length;++i)
pragma(msg, "test disabled on LDC Win64, needs to be reworked since hex floating point constants "
"are not recognised. Also, overflow tests won't work since win64 currently treats reals as doubles");
}
else
{
unittest
{
FloatingPointControl ctrl;
if(FloatingPointControl.hasExceptionTraps)
ctrl.disableExceptions(FloatingPointControl.allExceptions);
ctrl.rounding = FloatingPointControl.roundToNearest;

// @@BUG@@: Non-immutable array literals are ridiculous.
// Note that these are only valid for 80-bit reals: overflow will be different for 64-bit reals.
static const real [2][] exptestpoints =
[ // x, exp(x)
[1.0L, E ],
[0.5L, 0x1.A612_98E1_E069_BC97p+0L ],
[3.0L, E*E*E ],
[0x1.1p13L, 0x1.29aeffefc8ec645p+12557L ], // near overflow
[-0x1.18p13L, 0x1.5e4bf54b4806db9p-12927L ], // near underflow
[-0x1.625p13L, 0x1.a6bd68a39d11f35cp-16358L],
[-0x1p30L, 0 ], // underflow - subnormal
[-0x1.62DAFp13L, 0x1.96c53d30277021dp-16383L ],
[-0x1.643p13L, 0x1p-16444L ],
[-0x1.645p13L, 0 ], // underflow to zero
[0x1p80L, real.infinity ], // far overflow
[real.infinity, real.infinity ],
[0x1.7p13L, real.infinity ] // close overflow
];
real x;
IeeeFlags f;
for (int i=0; i<exptestpoints.length;++i)
{
resetIeeeFlags();
x = exp(exptestpoints[i][0]);
f = ieeeFlags;
assert(x == exptestpoints[i][1]);
// Check the overflow bit
assert(f.overflow == (fabs(x) == real.infinity));
// Check the underflow bit
assert(f.underflow == (fabs(x) < real.min_normal));
// Invalid and div by zero shouldn't be affected.
assert(!f.invalid);
assert(!f.divByZero);
}
// Ideally, exp(0) would not set the inexact flag.
// Unfortunately, fldl2e sets it!
// So it's not realistic to avoid setting it.
assert(exp(0.0L) == 1.0);

// NaN propagation. Doesn't set flags, bcos was already NaN.
resetIeeeFlags();
x = exp(exptestpoints[i][0]);
x = exp(real.nan);
f = ieeeFlags;
assert(x == exptestpoints[i][1]);
// Check the overflow bit
assert(f.overflow == (fabs(x) == real.infinity));
// Check the underflow bit
assert(f.underflow == (fabs(x) < real.min_normal));
// Invalid and div by zero shouldn't be affected.
assert(!f.invalid);
assert(!f.divByZero);
}
// Ideally, exp(0) would not set the inexact flag.
// Unfortunately, fldl2e sets it!
// So it's not realistic to avoid setting it.
assert(exp(0.0L) == 1.0);

// NaN propagation. Doesn't set flags, bcos was already NaN.
resetIeeeFlags();
x = exp(real.nan);
f = ieeeFlags;
assert(isIdentical(abs(x), real.nan));
assert(f.flags == 0);
assert(isIdentical(abs(x), real.nan));
assert(f.flags == 0);

resetIeeeFlags();
x = exp(-real.nan);
f = ieeeFlags;
assert(isIdentical(abs(x), real.nan));
assert(f.flags == 0);
resetIeeeFlags();
x = exp(-real.nan);
f = ieeeFlags;
assert(isIdentical(abs(x), real.nan));
assert(f.flags == 0);

x = exp(NaN(0x123));
assert(isIdentical(x, NaN(0x123)));
x = exp(NaN(0x123));
assert(isIdentical(x, NaN(0x123)));

// High resolution test
assert(exp(0.5L) == 0x1.A612_98E1_E069_BC97_2DFE_FAB6D_33Fp+0L);
// High resolution test
assert(exp(0.5L) == 0x1.A612_98E1_E069_BC97_2DFE_FAB6D_33Fp+0L);
}
}


/**
* Calculate cos(y) + i sin(y).
*
Expand Down Expand Up @@ -2489,13 +2524,20 @@ unittest
}
else static if (floatTraits!(real).realFormat == RealFormat.ieeeDouble)
{
assert(ldexp(1, -1024) == 0x1p-1024L);
assert(ldexp(1, -1022) == 0x1p-1022L);
int x;
real n = frexp(0x1p-1024L, x);
assert(n==0.5L);
assert(x==-1023);
assert(ldexp(n, x)==0x1p-1024L);
version(LDC_Win64)
{
pragma(msg,"test disabled on ldc until floating point constants and 80 bit reals work");
}
else
{
assert(ldexp(1, -1024) == 0x1p-1024L);
assert(ldexp(1, -1022) == 0x1p-1022L);
int x;
real n = frexp(0x1p-1024L, x);
assert(n==0.5L);
assert(x==-1023);
assert(ldexp(n, x)==0x1p-1024L);
}
}
else static assert(false, "Floating point type real not supported");
}
Expand Down Expand Up @@ -6258,8 +6300,15 @@ unittest


// Numbers that are close
assert(feqrel!(F)(0x1.Bp+84, 0x1.B8p+84) == 5);
assert(feqrel!(F)(0x1.8p+10, 0x1.Cp+10) == 2);
version(LDC_Win64)
{
pragma(msg,"Test disabled on LDC Win64 until floating point constants work");
}
else
{
assert(feqrel!(F)(0x1.Bp+84, 0x1.B8p+84) == 5);
assert(feqrel!(F)(0x1.8p+10, 0x1.Cp+10) == 2);
}
assert(feqrel!(F)(1.5 * (1 - F.epsilon), 1.0L) == 2);
assert(feqrel!(F)(1.5, 1.0) == 1);
assert(feqrel!(F)(2 * (1 - F.epsilon), 1.0L) == 1);
Expand Down