| 1 | /* $NetBSD: ctanh.c,v 1.1 2007/08/20 16:01:38 drochner Exp $ */ |
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| 2 | |
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| 3 | /*- |
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| 4 | * Copyright (c) 2007 The NetBSD Foundation, Inc. |
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| 5 | * All rights reserved. |
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| 6 | * |
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| 7 | * This code is derived from software written by Stephen L. Moshier. |
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| 8 | * It is redistributed by the NetBSD Foundation by permission of the author. |
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| 9 | * |
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| 10 | * Redistribution and use in source and binary forms, with or without |
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| 11 | * modification, are permitted provided that the following conditions |
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| 12 | * are met: |
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| 13 | * 1. Redistributions of source code must retain the above copyright |
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| 14 | * notice, this list of conditions and the following disclaimer. |
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| 15 | * 2. Redistributions in binary form must reproduce the above copyright |
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| 16 | * notice, this list of conditions and the following disclaimer in the |
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| 17 | * documentation and/or other materials provided with the distribution. |
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| 18 | * |
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| 19 | * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS |
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| 20 | * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED |
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| 21 | * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
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| 22 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS |
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| 23 | * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR |
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| 24 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF |
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| 25 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS |
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| 26 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN |
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| 27 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) |
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| 28 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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| 29 | * POSSIBILITY OF SUCH DAMAGE. |
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| 30 | * |
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| 31 | * imported and modified include for newlib 2010/10/03 |
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| 32 | * Marco Atzeri <marco_atzeri@yahoo.it> |
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| 33 | */ |
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| 34 | |
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| 35 | /* |
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| 36 | FUNCTION |
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| 37 | <<ctanh>>, <<ctanf>>---complex hyperbolic tangent |
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| 38 | |
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| 39 | INDEX |
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| 40 | ctanh |
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| 41 | INDEX |
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| 42 | ctanhf |
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| 43 | |
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| 44 | SYNOPSIS |
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| 45 | #include <complex.h> |
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| 46 | double complex ctanh(double complex <[z]>); |
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| 47 | float complex ctanhf(float complex <[z]>); |
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| 48 | |
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| 49 | |
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| 50 | DESCRIPTION |
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| 51 | These functions compute the complex hyperbolic tangent of <[z]>. |
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| 52 | |
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| 53 | <<ctanhf>> is identical to <<ctanh>>, except that it performs |
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| 54 | its calculations on <<floats complex>>. |
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| 55 | |
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| 56 | RETURNS |
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| 57 | These functions return the complex hyperbolic tangent value. |
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| 58 | |
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| 59 | PORTABILITY |
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| 60 | <<ctanh>> and <<ctanhf>> are ISO C99 |
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| 61 | |
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| 62 | QUICKREF |
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| 63 | <<ctanh>> and <<ctanhf>> are ISO C99 |
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| 64 | |
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| 65 | */ |
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| 66 | |
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| 67 | |
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| 68 | #include <complex.h> |
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| 69 | #include <math.h> |
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| 70 | |
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| 71 | double complex |
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| 72 | ctanh(double complex z) |
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| 73 | { |
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| 74 | double complex w; |
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| 75 | double x, y, d; |
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| 76 | |
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| 77 | x = creal(z); |
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| 78 | y = cimag(z); |
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| 79 | d = cosh(2.0 * x) + cos(2.0 * y); |
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| 80 | w = sinh(2.0 * x) / d + (sin(2.0 * y) / d) * I; |
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| 81 | |
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| 82 | return w; |
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| 83 | } |
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