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