Complex Arithmetic

The following functions are available for working with complex numbers. Each expects a single argument. Given a matrix they work on an element by element basis. In the descriptions of the following functions z is the complex number x + iy where i is defined as sqrt (-1).

abs (z)

Mapping Function

Compute the magnitude of z defined as |z| = sqrt (x^2 + y^2). For example abs (3 + 4i) => 5

arg (z)	Mapping Function
angle (z)	Mapping Function

Compute the argument of z defined as theta = atan (y/x). in radians. For example arg (3 + 4i) => 0.92730

conj (z)

Mapping Function

Return the complex conjugate of z defined as conj (z) = x - iy.

imag (z)

Mapping Function

Return the imaginary part of z as a real number.

real (z)

Mapping Function

Return the real part of z.