1*390c8400Smartynas /* $OpenBSD: invtrig.c,v 1.1 2008/12/09 20:00:35 martynas Exp $ */ 2*390c8400Smartynas /*- 3*390c8400Smartynas * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 4*390c8400Smartynas * All rights reserved. 5*390c8400Smartynas * 6*390c8400Smartynas * Redistribution and use in source and binary forms, with or without 7*390c8400Smartynas * modification, are permitted provided that the following conditions 8*390c8400Smartynas * are met: 9*390c8400Smartynas * 1. Redistributions of source code must retain the above copyright 10*390c8400Smartynas * notice, this list of conditions and the following disclaimer. 11*390c8400Smartynas * 2. Redistributions in binary form must reproduce the above copyright 12*390c8400Smartynas * notice, this list of conditions and the following disclaimer in the 13*390c8400Smartynas * documentation and/or other materials provided with the distribution. 14*390c8400Smartynas * 15*390c8400Smartynas * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 16*390c8400Smartynas * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17*390c8400Smartynas * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18*390c8400Smartynas * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19*390c8400Smartynas * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20*390c8400Smartynas * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21*390c8400Smartynas * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22*390c8400Smartynas * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23*390c8400Smartynas * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24*390c8400Smartynas * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25*390c8400Smartynas * SUCH DAMAGE. 26*390c8400Smartynas */ 27*390c8400Smartynas 28*390c8400Smartynas #include "invtrig.h" 29*390c8400Smartynas 30*390c8400Smartynas /* 31*390c8400Smartynas * asinl() and acosl() 32*390c8400Smartynas */ 33*390c8400Smartynas const long double 34*390c8400Smartynas pS0 = 1.66666666666666666631e-01L, 35*390c8400Smartynas pS1 = -4.16313987993683104320e-01L, 36*390c8400Smartynas pS2 = 3.69068046323246813704e-01L, 37*390c8400Smartynas pS3 = -1.36213932016738603108e-01L, 38*390c8400Smartynas pS4 = 1.78324189708471965733e-02L, 39*390c8400Smartynas pS5 = -2.19216428382605211588e-04L, 40*390c8400Smartynas pS6 = -7.10526623669075243183e-06L, 41*390c8400Smartynas qS1 = -2.94788392796209867269e+00L, 42*390c8400Smartynas qS2 = 3.27309890266528636716e+00L, 43*390c8400Smartynas qS3 = -1.68285799854822427013e+00L, 44*390c8400Smartynas qS4 = 3.90699412641738801874e-01L, 45*390c8400Smartynas qS5 = -3.14365703596053263322e-02L; 46*390c8400Smartynas 47*390c8400Smartynas /* 48*390c8400Smartynas * atanl() 49*390c8400Smartynas */ 50*390c8400Smartynas const long double atanhi[] = { 51*390c8400Smartynas 4.63647609000806116202e-01L, 52*390c8400Smartynas 7.85398163397448309628e-01L, 53*390c8400Smartynas 9.82793723247329067960e-01L, 54*390c8400Smartynas 1.57079632679489661926e+00L, 55*390c8400Smartynas }; 56*390c8400Smartynas 57*390c8400Smartynas const long double atanlo[] = { 58*390c8400Smartynas 1.18469937025062860669e-20L, 59*390c8400Smartynas -1.25413940316708300586e-20L, 60*390c8400Smartynas 2.55232234165405176172e-20L, 61*390c8400Smartynas -2.50827880633416601173e-20L, 62*390c8400Smartynas }; 63*390c8400Smartynas 64*390c8400Smartynas const long double aT[] = { 65*390c8400Smartynas 3.33333333333333333017e-01L, 66*390c8400Smartynas -1.99999999999999632011e-01L, 67*390c8400Smartynas 1.42857142857046531280e-01L, 68*390c8400Smartynas -1.11111111100562372733e-01L, 69*390c8400Smartynas 9.09090902935647302252e-02L, 70*390c8400Smartynas -7.69230552476207730353e-02L, 71*390c8400Smartynas 6.66661718042406260546e-02L, 72*390c8400Smartynas -5.88158892835030888692e-02L, 73*390c8400Smartynas 5.25499891539726639379e-02L, 74*390c8400Smartynas -4.70119845393155721494e-02L, 75*390c8400Smartynas 4.03539201366454414072e-02L, 76*390c8400Smartynas -2.91303858419364158725e-02L, 77*390c8400Smartynas 1.24822046299269234080e-02L, 78*390c8400Smartynas }; 79*390c8400Smartynas 80*390c8400Smartynas const long double pi_lo = -5.01655761266833202345e-20L; 81