gonzui

    1: /*      $OpenBSD: s_csinh.c,v 1.2 2011/07/08 19:25:31 martynas 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: /* LINTLIBRARY */
   19: 
   20: /*                                                      csinh
   21:  *
   22:  *      Complex hyperbolic sine
   23:  *
   24:  *
   25:  *
   26:  * SYNOPSIS:
   27:  *
   28:  * double complex csinh();
   29:  * double complex z, w;
   30:  *
   31:  * w = csinh (z);
   32:  *
   33:  * DESCRIPTION:
   34:  *
   35:  * csinh z = (cexp(z) - cexp(-z))/2
   36:  *         = sinh x * cos y  +  i cosh x * sin y .
   37:  *
   38:  * ACCURACY:
   39:  *
   40:  *                      Relative error:
   41:  * arithmetic   domain     # trials      peak         rms
   42:  *    IEEE      -10,+10     30000       3.1e-16     8.2e-17
   43:  *
   44:  */
   45: 
   46: #include <sys/cdefs.h>
   47: #include <complex.h>
   48: #include <float.h>
   49: #include <math.h>
   50: 
   51: double complex
   52: csinh(double complex z)
   53: {
   54:         double complex w;
   55:         double x, y;
   56: 
   57:         x = creal(z);
   58:         y = cimag(z);
   59:         w = sinh (x) * cos (y)  +  (cosh (x) * sin (y)) * I;
   60:         return (w);
   61: }
   62: 
   63: #if     LDBL_MANT_DIG == 53
   64: #ifdef  lint
   65: /* PROTOLIB1 */
   66: long double complex csinhl(long double complex);
   67: #else   /* lint */
   68: __weak_alias(csinhl, csinh);
   69: #endif  /* lint */
   70: #endif  /* LDBL_MANT_DIG == 53 */