1 /* $NetBSD: cephes_subrl.c,v 1.2 2014/10/10 14:06:40 christos Exp $ */
4 * Copyright (c) 2007 The NetBSD Foundation, Inc.
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.
10 * Redistribution and use in source and binary forms, with or without
11 * modification, are permitted provided that the following conditions
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.
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.
34 #include "cephes_subrl.h"
36 /* calculate cosh and sinh */
39 _cchshl(long double x, long double *c, long double *s)
43 if (fabsl(x) <= 0.5L) {
55 /* Program to subtract nearest integer multiple of PI */
57 /* extended precision value of PI: */
58 static const long double DP1 = 3.14159265358979323829596852490908531763125L;
59 static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
61 static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
62 #define MACHEPL 1.1e-38L
64 static const long double DP3 = 0L;
65 #define MACHEPL 1.1e-19L
69 _redupil(long double x)
80 i = t; /* the multiple */
82 t = ((x - t * DP1) - t * DP2) - t * DP3;
86 /* Taylor series expansion for cosh(2y) - cos(2x) */
89 _ctansl(long double complex z)
91 long double f, x, x2, y, y2, rn, t;
94 x = fabsl(2.0L * creall(z));
95 y = fabsl(2.0L * cimagl(z));
126 } while (fabsl(t/d) > MACHEPL);