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| 0e0900cb AU |
1 | /* $NetBSD: catanl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */ |
| 2 | ||
| 3 | /*- | |
| 4 | * Copyright (c) 2007 The NetBSD Foundation, Inc. | |
| 5 | * All rights reserved. | |
| 6 | * | |
| 7 | * This code is derived from software written by Stephen L. Moshier. | |
| 8 | * It is redistributed by the NetBSD Foundation by permission of the author. | |
| 9 | * | |
| 10 | * Redistribution and use in source and binary forms, with or without | |
| 11 | * modification, are permitted provided that the following conditions | |
| 12 | * are met: | |
| 13 | * 1. Redistributions of source code must retain the above copyright | |
| 14 | * notice, this list of conditions and the following disclaimer. | |
| 15 | * 2. Redistributions in binary form must reproduce the above copyright | |
| 16 | * notice, this list of conditions and the following disclaimer in the | |
| 17 | * documentation and/or other materials provided with the distribution. | |
| 18 | * | |
| 19 | * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS | |
| 20 | * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED | |
| 21 | * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
| 22 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS | |
| 23 | * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | |
| 24 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | |
| 25 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | |
| 26 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | |
| 27 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
| 28 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | |
| 29 | * POSSIBILITY OF SUCH DAMAGE. | |
| 30 | */ | |
| 31 | ||
| 32 | #include <complex.h> | |
| 33 | #include <math.h> | |
| 34 | #include "cephes_subrl.h" | |
| 35 | ||
| 1ed15161 PM |
36 | /* On platforms where long double is as wide as double. */ |
| 37 | #ifdef _LDBL_EQ_DBL | |
| 0e0900cb AU |
38 | #ifdef __weak_alias |
| 39 | __weak_alias(catanl, _catanl) | |
| 40 | #endif | |
| 41 | ||
| 42 | long double complex | |
| 43 | catanl(long double complex z) | |
| 44 | { | |
| 45 | long double complex w; | |
| 46 | long double a, t, x, x2, y; | |
| 47 | ||
| 48 | x = creall(z); | |
| 49 | y = cimagl(z); | |
| 50 | ||
| 51 | if ((x == 0.0L) && (y > 1.0L)) | |
| 52 | goto ovrf; | |
| 53 | ||
| 54 | x2 = x * x; | |
| 55 | a = 1.0L - x2 - (y * y); | |
| 0e0900cb AU |
56 | |
| 57 | t = 0.5L * atan2l(2.0L * x, a); | |
| 58 | w = _redupil(t); | |
| 59 | ||
| 60 | t = y - 1.0L; | |
| 61 | a = x2 + (t * t); | |
| 62 | if (a == 0.0L) | |
| 63 | goto ovrf; | |
| 64 | ||
| 65 | t = y + 1.0L; | |
| 66 | a = (x2 + (t * t))/a; | |
| 67 | w = w + (0.25L * logl(a)) * I; | |
| 68 | return w; | |
| 69 | ||
| 70 | ovrf: | |
| 71 | #if 0 | |
| 72 | mtherr ("catanl", OVERFLOW); | |
| 73 | #endif | |
| 74 | w = HUGE_VALL + HUGE_VALL * I; | |
| 75 | return w; | |
| 76 | } | |
| 1ed15161 | 77 | #endif |