man3/casinh.3

   1 .\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
   2 .\"
   3 .\" %%%LICENSE_START(GPL_NOVERSION_ONELINE)
   4 .\" Distributed under GPL
   5 .\" %%%LICENSE_END
   6 .\"
   7 .TH CASINH 3 2015-04-19 "" "Linux Programmer's Manual"
   8 .SH NAME
   9 casinh, casinhf, casinhl \- complex arc sine hyperbolic
  10 .SH SYNOPSIS
  11 .B #include <complex.h>
  12 .PP
  13 .BI "double complex casinh(double complex " z );
  14 .br
  15 .BI "float complex casinhf(float complex " z );
  16 .br
  17 .BI "long double complex casinhl(long double complex " z );
  18 .PP
  19 Link with \fI\-lm\fP.
  20 .SH DESCRIPTION
  21 These functions calculate the complex arc hyperbolic sine of
  22 .IR z .
  23 If \fIy\ =\ casinh(z)\fP, then \fIz\ =\ csinh(y)\fP.
  24 The imaginary part of
  25 .I y
  26 is chosen in the interval [\-pi/2,pi/2].
  27 .PP
  28 One has:
  29 .PP
  30 .nf
  31     casinh(z) = clog(z + csqrt(z * z + 1))
  32 .fi
  33 .SH VERSIONS
  34 These functions first appeared in glibc in version 2.1.
  35 .SH ATTRIBUTES
  36 For an explanation of the terms used in this section, see
  37 .BR attributes (7).
  38 .TS
  39 allbox;
  40 lbw30 lb lb
  41 l l l.
  42 Interface       Attribute       Value
  43 T{
  44 .BR casinh (),
  45 .BR casinhf (),
  46 .BR casinhl ()
  47 T}      Thread safety   MT-Safe
  48 .TE
  49 .SH CONFORMING TO
  50 C99, POSIX.1-2001, POSIX.1-2008.
  51 .SH SEE ALSO
  52 .BR asinh (3),
  53 .BR cabs (3),
  54 .BR cimag (3),
  55 .BR csinh (3),
  56 .BR complex (7)