xref: /openbsd-src/lib/libm/src/ld128/invtrig.c (revision 390c8400525fc0ecc9e2c49c2246076b1b49fe19)
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 =  1.66666666666666666666666666666700314e-01L,
35*390c8400Smartynas pS1 = -7.32816946414566252574527475428622708e-01L,
36*390c8400Smartynas pS2 =  1.34215708714992334609030036562143589e+00L,
37*390c8400Smartynas pS3 = -1.32483151677116409805070261790752040e+00L,
38*390c8400Smartynas pS4 =  7.61206183613632558824485341162121989e-01L,
39*390c8400Smartynas pS5 = -2.56165783329023486777386833928147375e-01L,
40*390c8400Smartynas pS6 =  4.80718586374448793411019434585413855e-02L,
41*390c8400Smartynas pS7 = -4.42523267167024279410230886239774718e-03L,
42*390c8400Smartynas pS8 =  1.44551535183911458253205638280410064e-04L,
43*390c8400Smartynas pS9 = -2.10558957916600254061591040482706179e-07L,
44*390c8400Smartynas qS1 = -4.84690167848739751544716485245697428e+00L,
45*390c8400Smartynas qS2 =  9.96619113536172610135016921140206980e+00L,
46*390c8400Smartynas qS3 = -1.13177895428973036660836798461641458e+01L,
47*390c8400Smartynas qS4 =  7.74004374389488266169304117714658761e+00L,
48*390c8400Smartynas qS5 = -3.25871986053534084709023539900339905e+00L,
49*390c8400Smartynas qS6 =  8.27830318881232209752469022352928864e-01L,
50*390c8400Smartynas qS7 = -1.18768052702942805423330715206348004e-01L,
51*390c8400Smartynas qS8 =  8.32600764660522313269101537926539470e-03L,
52*390c8400Smartynas qS9 = -1.99407384882605586705979504567947007e-04L;
53*390c8400Smartynas 
54*390c8400Smartynas /*
55*390c8400Smartynas  * atanl()
56*390c8400Smartynas  */
57*390c8400Smartynas const long double atanhi[] = {
58*390c8400Smartynas 	 4.63647609000806116214256231461214397e-01L,
59*390c8400Smartynas 	 7.85398163397448309615660845819875699e-01L,
60*390c8400Smartynas 	 9.82793723247329067985710611014666038e-01L,
61*390c8400Smartynas 	 1.57079632679489661923132169163975140e+00L,
62*390c8400Smartynas };
63*390c8400Smartynas 
64*390c8400Smartynas const long double atanlo[] = {
65*390c8400Smartynas 	 4.89509642257333492668618435220297706e-36L,
66*390c8400Smartynas 	 2.16795253253094525619926100651083806e-35L,
67*390c8400Smartynas 	-2.31288434538183565909319952098066272e-35L,
68*390c8400Smartynas 	 4.33590506506189051239852201302167613e-35L,
69*390c8400Smartynas };
70*390c8400Smartynas 
71*390c8400Smartynas const long double aT[] = {
72*390c8400Smartynas 	 3.33333333333333333333333333333333125e-01L,
73*390c8400Smartynas 	-1.99999999999999999999999999999180430e-01L,
74*390c8400Smartynas 	 1.42857142857142857142857142125269827e-01L,
75*390c8400Smartynas 	-1.11111111111111111111110834490810169e-01L,
76*390c8400Smartynas 	 9.09090909090909090908522355708623681e-02L,
77*390c8400Smartynas 	-7.69230769230769230696553844935357021e-02L,
78*390c8400Smartynas 	 6.66666666666666660390096773046256096e-02L,
79*390c8400Smartynas 	-5.88235294117646671706582985209643694e-02L,
80*390c8400Smartynas 	 5.26315789473666478515847092020327506e-02L,
81*390c8400Smartynas 	-4.76190476189855517021024424991436144e-02L,
82*390c8400Smartynas 	 4.34782608678695085948531993458097026e-02L,
83*390c8400Smartynas 	-3.99999999632663469330634215991142368e-02L,
84*390c8400Smartynas 	 3.70370363987423702891250829918659723e-02L,
85*390c8400Smartynas 	-3.44827496515048090726669907612335954e-02L,
86*390c8400Smartynas 	 3.22579620681420149871973710852268528e-02L,
87*390c8400Smartynas 	-3.03020767654269261041647570626778067e-02L,
88*390c8400Smartynas 	 2.85641979882534783223403715930946138e-02L,
89*390c8400Smartynas 	-2.69824879726738568189929461383741323e-02L,
90*390c8400Smartynas 	 2.54194698498808542954187110873675769e-02L,
91*390c8400Smartynas 	-2.35083879708189059926183138130183215e-02L,
92*390c8400Smartynas 	 2.04832358998165364349957325067131428e-02L,
93*390c8400Smartynas 	-1.54489555488544397858507248612362957e-02L,
94*390c8400Smartynas 	 8.64492360989278761493037861575248038e-03L,
95*390c8400Smartynas 	-2.58521121597609872727919154569765469e-03L,
96*390c8400Smartynas };
97*390c8400Smartynas 
98*390c8400Smartynas const long double pi_lo = 8.67181013012378102479704402604335225e-35L;
99