1 /*-
2  * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
3  * All rights reserved.
4  *
5  * Redistribution and use in source and binary forms, with or without
6  * modification, are permitted provided that the following conditions
7  * are met:
8  * 1. Redistributions of source code must retain the above copyright
9  *    notice, this list of conditions and the following disclaimer.
10  * 2. Redistributions in binary form must reproduce the above copyright
11  *    notice, this list of conditions and the following disclaimer in the
12  *    documentation and/or other materials provided with the distribution.
13  *
14  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
15  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
16  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
17  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
18  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
19  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
20  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24  * SUCH DAMAGE.
25  */
26 
27 //__FBSDID("$FreeBSD: src/lib/msun/ld128/invtrig.c,v 1.1 2008/07/31 22:41:26 das Exp $");
28 
29 #include "invtrig.h"
30 
31 /*
32  * asinl() and acosl()
33  */
34 const long double
35 pS0 =  1.66666666666666666666666666666700314e-01L,
36 pS1 = -7.32816946414566252574527475428622708e-01L,
37 pS2 =  1.34215708714992334609030036562143589e+00L,
38 pS3 = -1.32483151677116409805070261790752040e+00L,
39 pS4 =  7.61206183613632558824485341162121989e-01L,
40 pS5 = -2.56165783329023486777386833928147375e-01L,
41 pS6 =  4.80718586374448793411019434585413855e-02L,
42 pS7 = -4.42523267167024279410230886239774718e-03L,
43 pS8 =  1.44551535183911458253205638280410064e-04L,
44 pS9 = -2.10558957916600254061591040482706179e-07L,
45 qS1 = -4.84690167848739751544716485245697428e+00L,
46 qS2 =  9.96619113536172610135016921140206980e+00L,
47 qS3 = -1.13177895428973036660836798461641458e+01L,
48 qS4 =  7.74004374389488266169304117714658761e+00L,
49 qS5 = -3.25871986053534084709023539900339905e+00L,
50 qS6 =  8.27830318881232209752469022352928864e-01L,
51 qS7 = -1.18768052702942805423330715206348004e-01L,
52 qS8 =  8.32600764660522313269101537926539470e-03L,
53 qS9 = -1.99407384882605586705979504567947007e-04L;
54 
55 /*
56  * atanl()
57  */
58 const long double atanhi[] = {
59 	 4.63647609000806116214256231461214397e-01L,
60 	 7.85398163397448309615660845819875699e-01L,
61 	 9.82793723247329067985710611014666038e-01L,
62 	 1.57079632679489661923132169163975140e+00L,
63 };
64 
65 const long double atanlo[] = {
66 	 4.89509642257333492668618435220297706e-36L,
67 	 2.16795253253094525619926100651083806e-35L,
68 	-2.31288434538183565909319952098066272e-35L,
69 	 4.33590506506189051239852201302167613e-35L,
70 };
71 
72 const long double aT[] = {
73 	 3.33333333333333333333333333333333125e-01L,
74 	-1.99999999999999999999999999999180430e-01L,
75 	 1.42857142857142857142857142125269827e-01L,
76 	-1.11111111111111111111110834490810169e-01L,
77 	 9.09090909090909090908522355708623681e-02L,
78 	-7.69230769230769230696553844935357021e-02L,
79 	 6.66666666666666660390096773046256096e-02L,
80 	-5.88235294117646671706582985209643694e-02L,
81 	 5.26315789473666478515847092020327506e-02L,
82 	-4.76190476189855517021024424991436144e-02L,
83 	 4.34782608678695085948531993458097026e-02L,
84 	-3.99999999632663469330634215991142368e-02L,
85 	 3.70370363987423702891250829918659723e-02L,
86 	-3.44827496515048090726669907612335954e-02L,
87 	 3.22579620681420149871973710852268528e-02L,
88 	-3.03020767654269261041647570626778067e-02L,
89 	 2.85641979882534783223403715930946138e-02L,
90 	-2.69824879726738568189929461383741323e-02L,
91 	 2.54194698498808542954187110873675769e-02L,
92 	-2.35083879708189059926183138130183215e-02L,
93 	 2.04832358998165364349957325067131428e-02L,
94 	-1.54489555488544397858507248612362957e-02L,
95 	 8.64492360989278761493037861575248038e-03L,
96 	-2.58521121597609872727919154569765469e-03L,
97 };
98 
99 const long double pi_lo = 8.67181013012378102479704402604335225e-35L;
100