public static double Abs(Complex x)
{
double res = x.Abs();
if (double.IsInfinity(res) && !double.IsInfinity(x.Real) && !double.IsInfinity(x.Imaginary()))
{
throw PythonOps.OverflowError("absolute value too large");
}
return(res);
}
public static PythonTuple polar(object x)
{
Complex num = GetComplexNum(x);
double[] res = new double[] { num.Abs(), GetAngle(num) };
// check for overflow
if (double.IsInfinity(res[0]) && !IsInfinity(num))
{
throw PythonOps.OverflowError("math range error");
}
return(new PythonTuple(res));
}
//ln(re^iO) = ln(r) + iO
public static Complex log(object x)
{
Complex num = GetComplexNum(x);
if (num.IsZero())
{
throw PythonOps.ValueError("math domain error");
}
double r, theta;
r = num.Abs();
theta = GetAngle(num);
return(new Complex(Math.Log(r), theta));
}
public static double Abs(Complex x)
{
#if CLR2
double res = x.Abs();
#else
// TODO: remove after CodePlex 26224 and MS internal 861649 are resolved
double res = MathUtils.Hypot(x.Real, x.Imaginary);
#endif
if (double.IsInfinity(res) && !double.IsInfinity(x.Real) && !double.IsInfinity(x.Imaginary()))
{
throw PythonOps.OverflowError("absolute value too large");
}
return(res);
}
public static Complex sqrt(object x)
{
Complex num = GetComplexNum(x);
if (num.Imaginary() == 0.0)
{
if (num.Real >= 0.0)
{
return(MathUtils.MakeReal(Math.Sqrt(num.Real)));
}
else
{
return(MathUtils.MakeImaginary(Math.Sqrt(-num.Real)));
}
}
double c = num.Abs() + num.Real;
double real = Math.Sqrt(0.5 * c);
double imag = num.Imaginary() / Math.Sqrt(2 * c);
return(new Complex(real, imag));
}