/// <summary cref="XMath.IEEERemainder(float, float)"/>
public static float IEEERemainder(float x, float y)
{
if (y == 0.0f ||
XMath.IsInfinity(x) ||
XMath.IsNaN(x) ||
XMath.IsNaN(y))
{
return(float.NaN);
}
if (XMath.IsInfinity(y))
{
return(x);
}
return(x - (y * XMath.RoundToEven(x * XMath.Rcp(y))));
}
public static double IEEERemainder(double x, double y)
{
if (y == 0.0 ||
XMath.IsInfinity(x) ||
XMath.IsNaN(x) ||
XMath.IsNaN(y))
{
return(double.NaN);
}
if (XMath.IsInfinity(y))
{
return(x);
}
return(x - (y * XMath.RoundToEven(x * XMath.Rcp(y))));
}
public static double Rem(double x, double y)
{
if (y == 0.0 ||
XMath.IsInfinity(x) ||
XMath.IsNaN(x) ||
XMath.IsNaN(y))
{
return(double.NaN);
}
if (XMath.IsInfinity(y))
{
return(x);
}
var xDivY = XMath.Abs(x * XMath.Rcp(y));
var result = (xDivY - Floor(xDivY)) * XMath.Abs(y);
return(Utilities.Select(x < 0.0, -result, result));
}
public static float Rem(float x, float y)
{
if (y == 0.0f ||
XMath.IsInfinity(x) ||
XMath.IsNaN(x) ||
XMath.IsNaN(y))
{
return(float.NaN);
}
if (XMath.IsInfinity(y))
{
return(x);
}
var xDivY = XMath.Abs(x * XMath.Rcp(y));
var result = (xDivY - Floor(xDivY)) * XMath.Abs(y);
return(Utilities.Select(x < 0.0f, -result, result));
}
public static float Pow(float @base, float exp)
{
if (exp == 0.0f)
{
// Rule #2
// Ignoring Rule #1
return(1.0f);
}
else if (@base == 1.0f)
{
// Rule #14 but ignoring second part about y = NaN
// Ignoring Rule #1
return(1.0f);
}
else if (XMath.IsNaN(@base) || XMath.IsNaN(exp))
{
// Rule #1
return(float.NaN);
}
else if (@base == float.NegativeInfinity)
{
if (exp < 0.0f)
{
// Rule #3
return(0.0f);
}
else if (IsOddInteger(exp))
{
// Rule #4
return(float.NegativeInfinity);
}
else
{
// Rule #5
return(float.PositiveInfinity);
}
}
else if (@base < 0.0f && !IsInteger(exp) && !XMath.IsInfinity(exp))
{
// Rule #6
return(float.NaN);
}
else if (@base == -1.0f && XMath.IsInfinity(exp))
{
// Rule #7
return(1.0f);
}
else if (-1.0f < @base && @base < 1.0f && exp == float.NegativeInfinity)
{
// Rule #8
return(float.PositiveInfinity);
}
else if (-1.0f < @base && @base < 1.0f && exp == float.PositiveInfinity)
{
// Rule #9
return(0.0f);
}
else if ((@base < -1.0f || @base > 1.0f) && exp == float.NegativeInfinity)
{
// Rule #10
return(0.0f);
}
else if ((@base < -1.0f || @base > 1.0f) && exp == float.PositiveInfinity)
{
// Rule #11
return(float.PositiveInfinity);
}
else if (@base == 0.0f)
{
if (exp < 0.0f)
{
// Rule #12
return(float.PositiveInfinity);
}
else
{
// Rule #13
// NB: exp == 0.0 already handled by Rule #2
return(0.0f);
}
}
else if (@base == float.PositiveInfinity)
{
if (exp < 0.0f)
{
// Rule #15
return(0.0f);
}
else
{
// Rule #16
// NB: exp == 0.0 already handled by Rule #2
return(float.PositiveInfinity);
}
}
if (@base < 0.0)
{
// 'exp' is an integer, due to Rule #6.
var sign = IsOddInteger(exp) ? -1.0f : 1.0f;
return(sign * Exp(exp * Log(XMath.Abs(@base))));
}
return(Exp(exp * Log(@base)));
}
public static float Pow(float @base, float exp)
{
// TODO: The second condition of !XMath.IsNaN(), for the first two if/else conditions,
// can be removed after fixing https://github.com/m4rs-mt/ILGPU/issues/93
if (exp == 0.0f && !XMath.IsNaN(exp))
{
// Rule #2
// Ignoring Rule #1
return(1.0f);
}
else if (@base == 1.0f && !XMath.IsNaN(@base))
{
// Rule #14 but ignoring second part about y = NaN
// Ignoring Rule #1
return(1.0f);
}
else if (XMath.IsNaN(@base) || XMath.IsNaN(exp))
{
// Rule #1
return(float.NaN);
}
else if (@base == float.NegativeInfinity)
{
if (exp < 0.0f)
{
// Rule #3
return(0.0f);
}
else if (IsOddInteger(exp))
{
// Rule #4
return(float.NegativeInfinity);
}
else
{
// Rule #5
return(float.PositiveInfinity);
}
}
else if (@base < 0.0f && !IsInteger(exp) && !XMath.IsInfinity(exp))
{
// Rule #6
return(float.NaN);
}
else if (@base == -1.0f && XMath.IsInfinity(exp))
{
// Rule #7
return(1.0f);
}
else if (-1.0f < @base && @base < 1.0f && exp == float.NegativeInfinity)
{
// Rule #8
return(float.PositiveInfinity);
}
else if (-1.0f < @base && @base < 1.0f && exp == float.PositiveInfinity)
{
// Rule #9
return(0.0f);
}
else if ((@base < -1.0f || @base > 1.0f) && exp == float.NegativeInfinity)
{
// Rule #10
return(0.0f);
}
else if ((@base < -1.0f || @base > 1.0f) && exp == float.PositiveInfinity)
{
// Rule #11
return(float.PositiveInfinity);
}
else if (@base == 0.0f)
{
if (exp < 0.0f)
{
// Rule #12
return(float.PositiveInfinity);
}
else
{
// Rule #13
// NB: exp == 0.0 already handled by Rule #2
return(0.0f);
}
}
else if (@base == float.PositiveInfinity)
{
if (exp < 0.0f)
{
// Rule #14
return(0.0f);
}
else
{
// Rule #15
// NB: exp == 0.0 already handled by Rule #2
return(float.PositiveInfinity);
}
}
if (@base < 0.0)
{
// 'exp' is an integer, due to Rule #6.
var sign = IsOddInteger(exp) ? -1.0f : 1.0f;
return(sign * Exp(exp * Log(XMath.Abs(@base))));
}
return(Exp(exp * Log(@base)));
}