xref: /aosp_15_r20/bionic/libm/upstream-freebsd/lib/msun/ld128/invtrig.c (revision 8d67ca893c1523eb926b9080dbe4e2ffd2a27ba1)
1*8d67ca89SAndroid Build Coastguard Worker /*-
2*8d67ca89SAndroid Build Coastguard Worker  * SPDX-License-Identifier: BSD-2-Clause
3*8d67ca89SAndroid Build Coastguard Worker  *
4*8d67ca89SAndroid Build Coastguard Worker  * Copyright (c) 2008 David Schultz <[email protected]>
5*8d67ca89SAndroid Build Coastguard Worker  * All rights reserved.
6*8d67ca89SAndroid Build Coastguard Worker  *
7*8d67ca89SAndroid Build Coastguard Worker  * Redistribution and use in source and binary forms, with or without
8*8d67ca89SAndroid Build Coastguard Worker  * modification, are permitted provided that the following conditions
9*8d67ca89SAndroid Build Coastguard Worker  * are met:
10*8d67ca89SAndroid Build Coastguard Worker  * 1. Redistributions of source code must retain the above copyright
11*8d67ca89SAndroid Build Coastguard Worker  *    notice, this list of conditions and the following disclaimer.
12*8d67ca89SAndroid Build Coastguard Worker  * 2. Redistributions in binary form must reproduce the above copyright
13*8d67ca89SAndroid Build Coastguard Worker  *    notice, this list of conditions and the following disclaimer in the
14*8d67ca89SAndroid Build Coastguard Worker  *    documentation and/or other materials provided with the distribution.
15*8d67ca89SAndroid Build Coastguard Worker  *
16*8d67ca89SAndroid Build Coastguard Worker  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
17*8d67ca89SAndroid Build Coastguard Worker  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18*8d67ca89SAndroid Build Coastguard Worker  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
19*8d67ca89SAndroid Build Coastguard Worker  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
20*8d67ca89SAndroid Build Coastguard Worker  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21*8d67ca89SAndroid Build Coastguard Worker  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
22*8d67ca89SAndroid Build Coastguard Worker  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
23*8d67ca89SAndroid Build Coastguard Worker  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24*8d67ca89SAndroid Build Coastguard Worker  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25*8d67ca89SAndroid Build Coastguard Worker  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26*8d67ca89SAndroid Build Coastguard Worker  * SUCH DAMAGE.
27*8d67ca89SAndroid Build Coastguard Worker  */
28*8d67ca89SAndroid Build Coastguard Worker 
29*8d67ca89SAndroid Build Coastguard Worker #include "invtrig.h"
30*8d67ca89SAndroid Build Coastguard Worker 
31*8d67ca89SAndroid Build Coastguard Worker /*
32*8d67ca89SAndroid Build Coastguard Worker  * asinl() and acosl()
33*8d67ca89SAndroid Build Coastguard Worker  */
34*8d67ca89SAndroid Build Coastguard Worker const long double
35*8d67ca89SAndroid Build Coastguard Worker pS0 =  1.66666666666666666666666666666700314e-01L,
36*8d67ca89SAndroid Build Coastguard Worker pS1 = -7.32816946414566252574527475428622708e-01L,
37*8d67ca89SAndroid Build Coastguard Worker pS2 =  1.34215708714992334609030036562143589e+00L,
38*8d67ca89SAndroid Build Coastguard Worker pS3 = -1.32483151677116409805070261790752040e+00L,
39*8d67ca89SAndroid Build Coastguard Worker pS4 =  7.61206183613632558824485341162121989e-01L,
40*8d67ca89SAndroid Build Coastguard Worker pS5 = -2.56165783329023486777386833928147375e-01L,
41*8d67ca89SAndroid Build Coastguard Worker pS6 =  4.80718586374448793411019434585413855e-02L,
42*8d67ca89SAndroid Build Coastguard Worker pS7 = -4.42523267167024279410230886239774718e-03L,
43*8d67ca89SAndroid Build Coastguard Worker pS8 =  1.44551535183911458253205638280410064e-04L,
44*8d67ca89SAndroid Build Coastguard Worker pS9 = -2.10558957916600254061591040482706179e-07L,
45*8d67ca89SAndroid Build Coastguard Worker qS1 = -4.84690167848739751544716485245697428e+00L,
46*8d67ca89SAndroid Build Coastguard Worker qS2 =  9.96619113536172610135016921140206980e+00L,
47*8d67ca89SAndroid Build Coastguard Worker qS3 = -1.13177895428973036660836798461641458e+01L,
48*8d67ca89SAndroid Build Coastguard Worker qS4 =  7.74004374389488266169304117714658761e+00L,
49*8d67ca89SAndroid Build Coastguard Worker qS5 = -3.25871986053534084709023539900339905e+00L,
50*8d67ca89SAndroid Build Coastguard Worker qS6 =  8.27830318881232209752469022352928864e-01L,
51*8d67ca89SAndroid Build Coastguard Worker qS7 = -1.18768052702942805423330715206348004e-01L,
52*8d67ca89SAndroid Build Coastguard Worker qS8 =  8.32600764660522313269101537926539470e-03L,
53*8d67ca89SAndroid Build Coastguard Worker qS9 = -1.99407384882605586705979504567947007e-04L;
54*8d67ca89SAndroid Build Coastguard Worker 
55*8d67ca89SAndroid Build Coastguard Worker /*
56*8d67ca89SAndroid Build Coastguard Worker  * atanl()
57*8d67ca89SAndroid Build Coastguard Worker  */
58*8d67ca89SAndroid Build Coastguard Worker const long double atanhi[] = {
59*8d67ca89SAndroid Build Coastguard Worker 	 4.63647609000806116214256231461214397e-01L,
60*8d67ca89SAndroid Build Coastguard Worker 	 7.85398163397448309615660845819875699e-01L,
61*8d67ca89SAndroid Build Coastguard Worker 	 9.82793723247329067985710611014666038e-01L,
62*8d67ca89SAndroid Build Coastguard Worker 	 1.57079632679489661923132169163975140e+00L,
63*8d67ca89SAndroid Build Coastguard Worker };
64*8d67ca89SAndroid Build Coastguard Worker 
65*8d67ca89SAndroid Build Coastguard Worker const long double atanlo[] = {
66*8d67ca89SAndroid Build Coastguard Worker 	 4.89509642257333492668618435220297706e-36L,
67*8d67ca89SAndroid Build Coastguard Worker 	 2.16795253253094525619926100651083806e-35L,
68*8d67ca89SAndroid Build Coastguard Worker 	-2.31288434538183565909319952098066272e-35L,
69*8d67ca89SAndroid Build Coastguard Worker 	 4.33590506506189051239852201302167613e-35L,
70*8d67ca89SAndroid Build Coastguard Worker };
71*8d67ca89SAndroid Build Coastguard Worker 
72*8d67ca89SAndroid Build Coastguard Worker const long double aT[] = {
73*8d67ca89SAndroid Build Coastguard Worker 	 3.33333333333333333333333333333333125e-01L,
74*8d67ca89SAndroid Build Coastguard Worker 	-1.99999999999999999999999999999180430e-01L,
75*8d67ca89SAndroid Build Coastguard Worker 	 1.42857142857142857142857142125269827e-01L,
76*8d67ca89SAndroid Build Coastguard Worker 	-1.11111111111111111111110834490810169e-01L,
77*8d67ca89SAndroid Build Coastguard Worker 	 9.09090909090909090908522355708623681e-02L,
78*8d67ca89SAndroid Build Coastguard Worker 	-7.69230769230769230696553844935357021e-02L,
79*8d67ca89SAndroid Build Coastguard Worker 	 6.66666666666666660390096773046256096e-02L,
80*8d67ca89SAndroid Build Coastguard Worker 	-5.88235294117646671706582985209643694e-02L,
81*8d67ca89SAndroid Build Coastguard Worker 	 5.26315789473666478515847092020327506e-02L,
82*8d67ca89SAndroid Build Coastguard Worker 	-4.76190476189855517021024424991436144e-02L,
83*8d67ca89SAndroid Build Coastguard Worker 	 4.34782608678695085948531993458097026e-02L,
84*8d67ca89SAndroid Build Coastguard Worker 	-3.99999999632663469330634215991142368e-02L,
85*8d67ca89SAndroid Build Coastguard Worker 	 3.70370363987423702891250829918659723e-02L,
86*8d67ca89SAndroid Build Coastguard Worker 	-3.44827496515048090726669907612335954e-02L,
87*8d67ca89SAndroid Build Coastguard Worker 	 3.22579620681420149871973710852268528e-02L,
88*8d67ca89SAndroid Build Coastguard Worker 	-3.03020767654269261041647570626778067e-02L,
89*8d67ca89SAndroid Build Coastguard Worker 	 2.85641979882534783223403715930946138e-02L,
90*8d67ca89SAndroid Build Coastguard Worker 	-2.69824879726738568189929461383741323e-02L,
91*8d67ca89SAndroid Build Coastguard Worker 	 2.54194698498808542954187110873675769e-02L,
92*8d67ca89SAndroid Build Coastguard Worker 	-2.35083879708189059926183138130183215e-02L,
93*8d67ca89SAndroid Build Coastguard Worker 	 2.04832358998165364349957325067131428e-02L,
94*8d67ca89SAndroid Build Coastguard Worker 	-1.54489555488544397858507248612362957e-02L,
95*8d67ca89SAndroid Build Coastguard Worker 	 8.64492360989278761493037861575248038e-03L,
96*8d67ca89SAndroid Build Coastguard Worker 	-2.58521121597609872727919154569765469e-03L,
97*8d67ca89SAndroid Build Coastguard Worker };
98*8d67ca89SAndroid Build Coastguard Worker 
99*8d67ca89SAndroid Build Coastguard Worker const long double pi_lo = 8.67181013012378102479704402604335225e-35L;
100