man3/casin.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 CASIN 3 2015-04-19 "" "Linux Programmer's Manual"
   8 .SH NAME
   9 casin, casinf, casinl \- complex arc sine
  10 .SH SYNOPSIS
  11 .B #include <complex.h>
  12 .sp
  13 .BI "double complex casin(double complex " z );
  14 .br
  15 .BI "float complex casinf(float complex " z );
  16 .br
  17 .BI "long double complex casinl(long double complex " z );
  18 .sp
  19 Link with \fI\-lm\fP.
  20 .SH DESCRIPTION
  21 These functions calculate the complex arc sine of
  22 .IR z .
  23 If \fIy\ =\ casin(z)\fP, then \fIz\ =\ csin(y)\fP.
  24 The real part of
  25 .I y
  26 is chosen in the interval [\-pi/2,pi/2].
  27 .LP
  28 One has:
  29 .nf
  30
  31     casin(z) = \-i clog(iz + csqrt(1 \- z * z))
  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 lbw28 lb lb
  41 l l l.
  42 Interface       Attribute       Value
  43 T{
  44 .BR casin (),
  45 .BR casinf (),
  46 .BR casinl ()
  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 clog (3),
  53 .BR csin (3),
  54 .BR complex (7)