In the descriptions of the following functions,
z is the complex number x + iy, where i is
Compute the magnitude of z, defined as
sqrt (x^2 + y^2).
abs (3 + 4i) ⇒ 5
Compute the argument of z, defined as,
atan2 (y, x),
arg (3 + 4i) ⇒ 0.92730
Return the complex conjugate of z, defined as
conj (z) = x - iy.
See also: real, imag.
Sort the numbers z into complex conjugate pairs ordered by
increasing real part. Place the negative imaginary complex number
first within each pair. Place all the real numbers (those with
abs (imag (z) / z) < tol)) after the
If tol is unspecified the default value is 100*
By default the complex pairs are sorted along the first non-singleton dimension of z. If dim is specified, then the complex pairs are sorted along this dimension.
Signal an error if some complex numbers could not be paired. Signal an error if all complex numbers are not exact conjugates (to within tol). Note that there is no defined order for pairs with identical real parts but differing imaginary parts.
cplxpair (exp(2i*pi*[0:4]'/5)) == exp(2i*pi*[3; 2; 4; 1; 0]/5)
Return the imaginary part of z as a real number.
See also: real, conj.
Return the real part of z.
See also: imag, conj.