compiler/stdc/math/s_csinhl.c

   1 /*      $OpenBSD: s_csinhl.c,v 1.2 2011/07/20 19:28:33 martynas Exp $   */
   2
   3 /*
   4  * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
   5  *
   6  * Permission to use, copy, modify, and distribute this software for any
   7  * purpose with or without fee is hereby granted, provided that the above
   8  * copyright notice and this permission notice appear in all copies.
   9  *
  10  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
  11  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
  12  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
  13  * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
  14  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
  15  * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
  16  * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
  17  */
  18
  19 /*                                                      csinhl
  20  *
  21  *      Complex hyperbolic sine
  22  *
  23  *
  24  *
  25  * SYNOPSIS:
  26  *
  27  * long double complex csinhl();
  28  * long double complex z, w;
  29  *
  30  * w = csinhl (z);
  31  *
  32  * DESCRIPTION:
  33  *
  34  * csinh z = (cexp(z) - cexp(-z))/2
  35  *         = sinh x * cos y  +  i cosh x * sin y .
  36  *
  37  * ACCURACY:
  38  *
  39  *                      Relative error:
  40  * arithmetic   domain     # trials      peak         rms
  41  *    IEEE      -10,+10     30000       3.1e-16     8.2e-17
  42  *
  43  */
  44
  45 #include <complex.h>
  46 #include "math.h"
  47
  48 long double complex
  49 csinhl(long double complex z)
  50 {
  51         long double complex w;
  52         long double x, y;
  53
  54         x = creall(z);
  55         y = cimagl(z);
  56         w = sinhl(x) * cosl(y) + (coshl(x) * sinl(y)) * I;
  57         return (w);
  58 }