Problem Descriptor Reference > The Elements of a Descriptor > Operators

The following operators perform various transformations on complex quantities.

REAL ( complex )

Extracts the real part of the complex number.

IMAG ( complex )

Extracts the imaginary part of the complex number.

CABS ( complex )

Computes the magnitude of the complex number, given by

CABS(complex(x,y)) = sqrt(x^2 + y^2).

CARG ( complex )

Computes the Argument (or angular component) of the complex number, implemented as CARG(complex(x,y)) = Atan2(y,x).

CEXP ( complex )

Computes the complex exponential of the complex number, given by

CEXP(complex(x,y)) = exp(x + iy) = exp(x)*(cos(y) + i*sin(y)).

CLOG ( complex )

Computes the natural logarithm of the complex number, given by

CLOG(complex(x,y)) = ln(x + iy) = ln(sqrt(x^2 + y^2)) + i*arctan(y/x).

CONJ ( complex )

Returns the complex conjugate of the complex number.

CSQRT ( complex )

Computes the complex square root of the complex number, given by

CSQRT(complex(x,y)) = complex( sqrt((r + x)/2), sign(y)*sqrt((r - x)/2) )

where r = CABS(x,y).

Complex Operators