CASINH 3CW "11 August 2009" "mathcw-1.00"

Table of contents


NAME

casinhf, casinh, casinhl, casinhw, casinhq, casinhll, casinhdf, casinhd, casinhdl, casinhdll - complex inverse hyperbolic sine function

SYNOPSIS

cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ]

#include <mathcw.h>

#include <complexcw.h>

extern float complex casinhf (float complex z);

extern double complex casinh (double complex z);

extern long double complex casinhl (long double complex z);

extern __float80 complex casinhw (__float80 complex z);

extern __float128 complex casinhq (__float128 complex z);

extern long_long_double complex casinhll (long_long_double complex z);

extern decimal_float complex casinhdf (decimal_float complex z);

extern decimal_double complex casinhd (decimal_double complex z);

extern decimal_long_double complex casinhdl (decimal_long_double complex z);

extern decimal_long_long_double complex casinhdll (decimal_long_long_double complex z);

NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.


DESCRIPTION

Compute the principal value of the complex inverse hyperbolic sine function.

The value of the complex argument z is unrestricted.

For real-valued arguments in the range [-Infinity, Infinity], the real function range is [-Infinity, Infinity], and Infinity is only possible if z is Infinity.

When compiler support for complex types is lacking, consider using the cx family of functions instead.


BRANCH CUTS

To be written.

RETURN VALUES

For in-range real arguments, the returned value is in the range [-Infinity, Infinity]. For other finite real or finite complex arguments, the returned value is complex and finite. For infinite arguments, at least one component of the returned value is Infinity. Otherwise, for NaN arguments, at least one component of the returned value is a quiet NaN.

ERRORS

For out-of-range, Infinity and NaN arguments, the returned value is a quiet NaN, and errno is set to EDOM.

SEE ALSO

cacosh(3CW), catanh(3CW), ccosh(3CW), csinh(3CW), ctanh(3CW).