public static ComplexD Log(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if ((a.Real > 0.0) && (a.Imaginary == 0.0))
{
result.Real = System.Math.Log(a.Real);
result.Imaginary = 0.0;
}
else if (a.Real == 0.0)
{
if (a.Imaginary > 0.0)
{
result.Real = System.Math.Log(a.Imaginary);
result.Imaginary = MathFunctions.HalfPI;
}
else
{
result.Real = System.Math.Log(-(a.Imaginary));
result.Imaginary = -MathFunctions.HalfPI;
}
}
else
{
result.Real = System.Math.Log(a.GetModulus());
result.Imaginary = System.Math.Atan2(a.Imaginary, a.Real);
}
return(result);
}
public static ComplexD Sqrt(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if ((a.Real == 0.0) && (a.Imaginary == 0.0))
{
return(result);
}
else if (a.Imaginary == 0.0)
{
result.Real = (a.Real > 0) ? System.Math.Sqrt(a.Real) : System.Math.Sqrt(-a.Real);
result.Imaginary = 0.0;
}
else
{
double modulus = a.GetModulus();
result.Real = System.Math.Sqrt(0.5 * (modulus + a.Real));
result.Imaginary = System.Math.Sqrt(0.5 * (modulus - a.Real));
if (a.Imaginary < 0.0)
{
result.Imaginary = -result.Imaginary;
}
}
return(result);
}
public static ComplexD Sqrt(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if ((a.Real == 0.0) && (a.Imaginary == 0.0))
{
return result;
}
else if (a.Imaginary == 0.0)
{
result.Real = (a.Real > 0) ? System.Math.Sqrt(a.Real) : System.Math.Sqrt(-a.Real);
result.Imaginary = 0.0;
}
else
{
double modulus = a.GetModulus();
result.Real = System.Math.Sqrt(0.5 * (modulus + a.Real));
result.Imaginary= System.Math.Sqrt(0.5 * (modulus - a.Real));
if (a.Imaginary < 0.0)
result.Imaginary = -result.Imaginary;
}
return result;
}
public static ComplexD Log(ComplexD a)
{
ComplexD result = ComplexD.Zero;
if ((a.Real > 0.0) && (a.Imaginary == 0.0))
{
result.Real = System.Math.Log(a.Real);
result.Imaginary = 0.0;
}
else if (a.Real == 0.0)
{
if (a.Imaginary > 0.0)
{
result.Real = System.Math.Log(a.Imaginary);
result.Imaginary = MathFunctions.HalfPI;
}
else
{
result.Real = System.Math.Log(-(a.Imaginary));
result.Imaginary = -MathFunctions.HalfPI;
}
}
else
{
result.Real = System.Math.Log(a.GetModulus());
result.Imaginary = System.Math.Atan2(a.Imaginary, a.Real);
}
return result;
}