| .\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) |
| .\" |
| .\" %%%LICENSE_START(GPL_NOVERSION_ONELINE) |
| .\" Distributed under GPL |
| .\" %%%LICENSE_END |
| .\" |
| .TH CASINH 3 2021-03-22 "" "Linux Programmer's Manual" |
| .SH NAME |
| casinh, casinhf, casinhl \- complex arc sine hyperbolic |
| .SH SYNOPSIS |
| .nf |
| .B #include <complex.h> |
| .PP |
| .BI "double complex casinh(double complex " z ); |
| .BI "float complex casinhf(float complex " z ); |
| .BI "long double complex casinhl(long double complex " z ); |
| .PP |
| Link with \fI\-lm\fP. |
| .fi |
| .SH DESCRIPTION |
| These functions calculate the complex arc hyperbolic sine of |
| .IR z . |
| If \fIy\ =\ casinh(z)\fP, then \fIz\ =\ csinh(y)\fP. |
| The imaginary part of |
| .I y |
| is chosen in the interval [\-pi/2,pi/2]. |
| .PP |
| One has: |
| .PP |
| .nf |
| casinh(z) = clog(z + csqrt(z * z + 1)) |
| .fi |
| .SH VERSIONS |
| These functions first appeared in glibc in version 2.1. |
| .SH ATTRIBUTES |
| For an explanation of the terms used in this section, see |
| .BR attributes (7). |
| .ad l |
| .nh |
| .TS |
| allbox; |
| lbx lb lb |
| l l l. |
| Interface Attribute Value |
| T{ |
| .BR casinh (), |
| .BR casinhf (), |
| .BR casinhl () |
| T} Thread safety MT-Safe |
| .TE |
| .hy |
| .ad |
| .sp 1 |
| .SH CONFORMING TO |
| C99, POSIX.1-2001, POSIX.1-2008. |
| .SH SEE ALSO |
| .BR asinh (3), |
| .BR cabs (3), |
| .BR cimag (3), |
| .BR csinh (3), |
| .BR complex (7) |