casinh(3) BSD Library Functions Manual casinh(3)
NAME
casinh -- complex inverse hyperbolic sine function
SYNOPSIS
double complex
casinh(double complex z);
long double complex
casinhl(long double complex z);
float complex
casinhf(float complex z);
DESCRIPTION
casinh(z) computes the inverse hyperbolic sine of the complex floating-
point number z, with branch cuts outside the interval [-i, i] along the
imaginary axis.
casinh() returns values in a strip of the complex plane with imaginary
part in the interval [-Pi/2, Pi/2].
For all complex floating point numbers z,
casinh(conj(z)) = conj(casinh(z)).
casinh(-z) = -casinh(z)
SPECIAL VALUES
The symmetries of casinh() are used to abbreviate the specification of
special values.
casinh(0 + 0i) returns 0 + 0 i.
casinh(x + inf i) returns inf + Pi/2 i, for finite positive-signed x.
casinh(x + NaN i) returns NaN + NaN i, for finite x.
casinh(inf + yi) returns inf + 0i, for finite positive-signed y.
casinh(inf + inf i) returns inf + Pi/4 i.
casinh(inf + NaN i) returns inf + NaN i.
casinh(NaN + 0i) returns NaN + 0i.
casinh(NaN + yi) returns NaN + NaN i, for finite y.
casinh(NaN + inf i) returns inf + NaN i.
casinh(NaN + NaN i) returns NaN + NaN i.
NOTES
SEE ALSO
csinh(3) complex(3)
STANDARDS
The casinh() function conforms to ISO/IEC 9899:1999(E).
4th Berkeley Distribution December 11, 2006 4th Berkeley Distribution
Mac OS X 10.6 - Generated Thu Sep 17 20:18:43 CDT 2009