Properties of complex numbers
- Function: double gsl_complex_arg (gsl_complex z)
-
This function returns the argument of the complex number z,
\arg(z), where
-\pi < \arg(z) <= \pi.
- Function: double gsl_complex_abs (gsl_complex z)
-
This function returns the magnitude of the complex number z, |z|.
- Function: double gsl_complex_abs2 (gsl_complex z)
-
This function returns the squared magnitude of the complex number
z, |z|^2.
- Function: double gsl_complex_logabs (gsl_complex z)
-
This function returns the natural logarithm of the magnitude of the
complex number z, \log|z|. It allows an accurate
evaluation of \log|z| when |z| is close to one. The direct
evaluation of
log(gsl_complex_abs(z))
would lead to a loss of
precision in this case.