CXASINH 3CW "12 August 2009" "mathcw-1.00"

Table of contents


NAME

cxasinhf, cxasinh, cxasinhl, cxasinhw, cxasinhq, cxasinhll, cxasinhdf, cxasinhd, cxasinhdl, cxasinhdll - complex inverse hyperbolic sine function with real arithmetic

SYNOPSIS

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

#include <mathcw.h>

#include <cxcw.h>

extern void cxasinhf (cx_float result, cx_float z);

extern void cxasinh (cx_double result, cx_double z);

extern void cxasinhl (cx_long_double result, cx_long_double z);

extern void cxasinhw (cx_float80 result, cx_float80 z);

extern void cxasinhq (cx_float128 result, cx_float128 z);

extern void cxasinhll (cx_long_long_double result, cx_long_long_double z);

extern void cxasinhdf (cx_decimal_float result, cx_decimal_float z);

extern void cxasinhd (cx_decimal_double result, cx_decimal_double z);

extern void cxasinhdl (cx_decimal_long_double result, cx_decimal_long_double z);

extern void cxasinhdll (cx_decimal_long_long_double result, cx_decimal_long_long_double 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 (a two-element array with the real and imaginary parts in that order). 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.

The cx family of functions provide limited support for complex arithmetic when compiler or language support for a complex type is lacking.


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

cxacosh(3CW), cxatanh(3CW), cxcosh(3CW), cxsinh(3CW), cxtanh(3CW).