1 /* $OpenBSD: invtrig.c,v 1.1 2008/12/09 20:00:35 martynas Exp $ */ 2 /*- 3 * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 4 * All rights reserved. 5 * 6 * Redistribution and use in source and binary forms, with or without 7 * modification, are permitted provided that the following conditions 8 * are met: 9 * 1. Redistributions of source code must retain the above copyright 10 * notice, this list of conditions and the following disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25 * SUCH DAMAGE. 26 */ 27 28 #include "invtrig.h" 29 30 /* 31 * asinl() and acosl() 32 */ 33 const long double 34 pS0 = 1.66666666666666666666666666666700314e-01L, 35 pS1 = -7.32816946414566252574527475428622708e-01L, 36 pS2 = 1.34215708714992334609030036562143589e+00L, 37 pS3 = -1.32483151677116409805070261790752040e+00L, 38 pS4 = 7.61206183613632558824485341162121989e-01L, 39 pS5 = -2.56165783329023486777386833928147375e-01L, 40 pS6 = 4.80718586374448793411019434585413855e-02L, 41 pS7 = -4.42523267167024279410230886239774718e-03L, 42 pS8 = 1.44551535183911458253205638280410064e-04L, 43 pS9 = -2.10558957916600254061591040482706179e-07L, 44 qS1 = -4.84690167848739751544716485245697428e+00L, 45 qS2 = 9.96619113536172610135016921140206980e+00L, 46 qS3 = -1.13177895428973036660836798461641458e+01L, 47 qS4 = 7.74004374389488266169304117714658761e+00L, 48 qS5 = -3.25871986053534084709023539900339905e+00L, 49 qS6 = 8.27830318881232209752469022352928864e-01L, 50 qS7 = -1.18768052702942805423330715206348004e-01L, 51 qS8 = 8.32600764660522313269101537926539470e-03L, 52 qS9 = -1.99407384882605586705979504567947007e-04L; 53 54 /* 55 * atanl() 56 */ 57 const long double atanhi[] = { 58 4.63647609000806116214256231461214397e-01L, 59 7.85398163397448309615660845819875699e-01L, 60 9.82793723247329067985710611014666038e-01L, 61 1.57079632679489661923132169163975140e+00L, 62 }; 63 64 const long double atanlo[] = { 65 4.89509642257333492668618435220297706e-36L, 66 2.16795253253094525619926100651083806e-35L, 67 -2.31288434538183565909319952098066272e-35L, 68 4.33590506506189051239852201302167613e-35L, 69 }; 70 71 const long double aT[] = { 72 3.33333333333333333333333333333333125e-01L, 73 -1.99999999999999999999999999999180430e-01L, 74 1.42857142857142857142857142125269827e-01L, 75 -1.11111111111111111111110834490810169e-01L, 76 9.09090909090909090908522355708623681e-02L, 77 -7.69230769230769230696553844935357021e-02L, 78 6.66666666666666660390096773046256096e-02L, 79 -5.88235294117646671706582985209643694e-02L, 80 5.26315789473666478515847092020327506e-02L, 81 -4.76190476189855517021024424991436144e-02L, 82 4.34782608678695085948531993458097026e-02L, 83 -3.99999999632663469330634215991142368e-02L, 84 3.70370363987423702891250829918659723e-02L, 85 -3.44827496515048090726669907612335954e-02L, 86 3.22579620681420149871973710852268528e-02L, 87 -3.03020767654269261041647570626778067e-02L, 88 2.85641979882534783223403715930946138e-02L, 89 -2.69824879726738568189929461383741323e-02L, 90 2.54194698498808542954187110873675769e-02L, 91 -2.35083879708189059926183138130183215e-02L, 92 2.04832358998165364349957325067131428e-02L, 93 -1.54489555488544397858507248612362957e-02L, 94 8.64492360989278761493037861575248038e-03L, 95 -2.58521121597609872727919154569765469e-03L, 96 }; 97 98 const long double pi_lo = 8.67181013012378102479704402604335225e-35L; 99