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    1: /*      $OpenBSD: s_catanh.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: /*                                                      catanh
   21:  *
   22:  *      Complex inverse hyperbolic tangent
   23:  *
   24:  *
   25:  *
   26:  * SYNOPSIS:
   27:  *
   28:  * double complex catanh();
   29:  * double complex z, w;
   30:  *
   31:  * w = catanh (z);
   32:  *
   33:  *
   34:  *
   35:  * DESCRIPTION:
   36:  *
   37:  * Inverse tanh, equal to  -i catan (iz);
   38:  *
   39:  * ACCURACY:
   40:  *
   41:  *                      Relative error:
   42:  * arithmetic   domain     # trials      peak         rms
   43:  *    IEEE      -10,+10     30000       2.3e-16     6.2e-17
   44:  *
   45:  */
   46: 
   47: #include <sys/cdefs.h>
   48: #include <complex.h>
   49: #include <float.h>
   50: #include <math.h>
   51: 
   52: double complex
   53: catanh(double complex z)
   54: {
   55:         double complex w;
   56: 
   57:         w = -1.0 * I * catan (z * I);
   58:         return (w);
   59: }
   60: 
   61: #if     LDBL_MANT_DIG == 53
   62: #ifdef  lint
   63: /* PROTOLIB1 */
   64: long double complex catanhl(long double complex);
   65: #else   /* lint */
   66: __weak_alias(catanhl, catanh);
   67: #endif  /* lint */
   68: #endif  /* LDBL_MANT_DIG == 53 */