xref: /freebsd/lib/msun/ld80/invtrig.c (revision 4543ef516683042d46f3bd3bb8a4f3f746e00499)
1 /*-
2  * SPDX-License-Identifier: BSD-2-Clause
3  *
4  * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
5  * All rights reserved.
6  *
7  * Redistribution and use in source and binary forms, with or without
8  * modification, are permitted provided that the following conditions
9  * are met:
10  * 1. Redistributions of source code must retain the above copyright
11  *    notice, this list of conditions and the following disclaimer.
12  * 2. Redistributions in binary form must reproduce the above copyright
13  *    notice, this list of conditions and the following disclaimer in the
14  *    documentation and/or other materials provided with the distribution.
15  *
16  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
17  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
19  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
20  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
22  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
23  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26  * SUCH DAMAGE.
27  */
28 
29 #include "invtrig.h"
30 
31 /*
32  * asinl() and acosl()
33  */
34 const long double
35 pS0 =  1.66666666666666666631e-01L,
36 pS1 = -4.16313987993683104320e-01L,
37 pS2 =  3.69068046323246813704e-01L,
38 pS3 = -1.36213932016738603108e-01L,
39 pS4 =  1.78324189708471965733e-02L,
40 pS5 = -2.19216428382605211588e-04L,
41 pS6 = -7.10526623669075243183e-06L,
42 qS1 = -2.94788392796209867269e+00L,
43 qS2 =  3.27309890266528636716e+00L,
44 qS3 = -1.68285799854822427013e+00L,
45 qS4 =  3.90699412641738801874e-01L,
46 qS5 = -3.14365703596053263322e-02L;
47 
48 /*
49  * atanl()
50  */
51 const long double atanhi[] = {
52 	 4.63647609000806116202e-01L,
53 	 7.85398163397448309628e-01L,
54 	 9.82793723247329067960e-01L,
55 	 1.57079632679489661926e+00L,
56 };
57 
58 const long double atanlo[] = {
59 	 1.18469937025062860669e-20L,
60 	-1.25413940316708300586e-20L,
61 	 2.55232234165405176172e-20L,
62 	-2.50827880633416601173e-20L,
63 };
64 
65 const long double aT[] = {
66 	 3.33333333333333333017e-01L,
67 	-1.99999999999999632011e-01L,
68 	 1.42857142857046531280e-01L,
69 	-1.11111111100562372733e-01L,
70 	 9.09090902935647302252e-02L,
71 	-7.69230552476207730353e-02L,
72 	 6.66661718042406260546e-02L,
73 	-5.88158892835030888692e-02L,
74 	 5.25499891539726639379e-02L,
75 	-4.70119845393155721494e-02L,
76 	 4.03539201366454414072e-02L,
77 	-2.91303858419364158725e-02L,
78 	 1.24822046299269234080e-02L,
79 };
80 
81 const long double pi_lo = -5.01655761266833202345e-20L;
82