catanh(), catanhf(), catanhl()

Compute the complex inverse hyperbolic tangent

Synopsis:

#include <complex.h>

double complex catanh( double complex z );

float complex catanhf( float complex z );

long double complex catanhl( long double complex z );

Arguments:

z
The value that you want to get the complex inverse hyperbolic tangent of.

Library:

libm

Use the -l m option to qcc to link against this library.

Description:

These functions compute the complex inverse hyperbolic tangent of z, with branch cuts outside the interval [−1; +1] along the real axis.

To check for error situations, use feclearexcept() and fetestexcept():

Returns:

The complex inverse hyperbolic tangent of z, in the range of a half-strip mathematically unbounded along the real axis and in the interval [−iπ/2; +iπ/2] along the imaginary axis.

If z is: These functions return:
+0+0i +0+0i
+0+NaNi +0+NaNi
+1+0i ++0i and FE_DIVBYZERO is raised
x+i (for any finite positive x) +0+iπ/2
x+NaNi (for any finite nonzero x) NaN+NaNi and FE_INVALID may be raised
++yi (for any finite positive y) +0+iπ/2
++i +0+iπ/2
++NaNi +0+NaNi
NaN+yi (for any finite y) NaN+NaNi and FE_INVALID may be raised
NaN+i ±0+iπ/2 (the sign of the real part is unspecified)
NaN+NaNi NaN+NaNi

Classification:

ANSI, POSIX 1003.1

Safety:  
Cancellation point No
Interrupt handler No
Signal handler No
Thread Yes