/**
* <p>
* Converts a complex number into polar notation.
* </p>
*
* @param input Standard notation
* @param output Polar notation
*/
public static void convert(Complex_F64 input, ComplexPolar_F64 output)
{
output.r = input.getMagnitude();
output.theta = Math.Atan2(input.imaginary, input.real);
}
/**
* Computes the N<sup>th</sup> root of a complex number in polar notation. There are
* N distinct N<sup>th</sup> roots.
*
* @param a Complex number
* @param N The root's magnitude
* @param k Specifies which root. 0 ≤ k < N
* @param result Computed root
*/
public static void root(ComplexPolar_F64 a, int N, int k, ComplexPolar_F64 result)
{
result.r = Math.Pow(a.r, 1.0 / N);
result.theta = (a.theta + 2.0 * k * UtilEjml.PI) / N;
}
/**
* Computes the power of a complex number in polar notation
*
* @param a Complex number
* @param N Power it is to be multiplied by
* @param result Result
*/
public static void pow(ComplexPolar_F64 a, int N, ComplexPolar_F64 result)
{
result.r = Math.Pow(a.r, N);
result.theta = N * a.theta;
}
/**
* Division in polar notation.
*
* @param a Complex number in polar notation. Not modified.
* @param b Complex number in polar notation. Not modified.
* @param result Storage for output.
*/
public static void divide(ComplexPolar_F64 a, ComplexPolar_F64 b, ComplexPolar_F64 result)
{
result.r = a.r / b.r;
result.theta = a.theta - b.theta;
}
/**
* Division in polar notation.
*
* @param a Complex number in polar notation. Not modified.
* @param b Complex number in polar notation. Not modified.
* @param result Storage for output.
*/
public static void multiply(ComplexPolar_F64 a, ComplexPolar_F64 b, ComplexPolar_F64 result)
{
result.r = a.r * b.r;
result.theta = a.theta + b.theta;
}
/**
* <p>
* Converts a complex number in polar notation into standard notation.
* </p>
*
* @param input Standard notation
* @param output Polar notation
*/
public static void convert(ComplexPolar_F64 input, Complex_F64 output)
{
output.real = input.r * (double)Math.Cos(input.theta);
output.imaginary = input.r * (double)Math.Sin(input.theta);
}