gonzui

    1: /*      $OpenBSD: s_csinhf.c,v 1.2 2010/07/18 18:42:26 guenther Exp $        */
    2: /*
    3:  * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
    4:  *
    5:  * Permission to use, copy, modify, and distribute this software for any
    6:  * purpose with or without fee is hereby granted, provided that the above
    7:  * copyright notice and this permission notice appear in all copies.
    8:  *
    9:  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
   10:  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
   11:  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
   12:  * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
   13:  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
   14:  * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
   15:  * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
   16:  */
   17: 
   18: /*                                                      csinhf
   19:  *
   20:  *      Complex hyperbolic sine
   21:  *
   22:  *
   23:  *
   24:  * SYNOPSIS:
   25:  *
   26:  * float complex csinhf();
   27:  * float complex z, w;
   28:  *
   29:  * w = csinhf (z);
   30:  *
   31:  * DESCRIPTION:
   32:  *
   33:  * csinh z = (cexp(z) - cexp(-z))/2
   34:  *         = sinh x * cos y  +  i cosh x * sin y .
   35:  *
   36:  * ACCURACY:
   37:  *
   38:  *                      Relative error:
   39:  * arithmetic   domain     # trials      peak         rms
   40:  *    IEEE      -10,+10     30000       3.1e-16     8.2e-17
   41:  *
   42:  */
   43: 
   44: #include <complex.h>
   45: #include <math.h>
   46: 
   47: float complex
   48: csinhf(float complex z)
   49: {
   50:         float complex w;
   51:         float x, y;
   52: 
   53:         x = crealf(z);
   54:         y = cimagf(z);
   55:         w = sinhf (x) * cosf (y)  +  (coshf (x) * sinf (y)) * I;
   56:         return (w);
   57: }