xref: /freebsd/lib/msun/ld80/invtrig.c (revision 09a53ad8f1318c5daae6cfb19d97f4f6459f0013)
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 #include <sys/cdefs.h>
28 __FBSDID("$FreeBSD$");
29 
30 #include "invtrig.h"
31 
32 /*
33  * asinl() and acosl()
34  */
35 const long double
36 pS0 =  1.66666666666666666631e-01L,
37 pS1 = -4.16313987993683104320e-01L,
38 pS2 =  3.69068046323246813704e-01L,
39 pS3 = -1.36213932016738603108e-01L,
40 pS4 =  1.78324189708471965733e-02L,
41 pS5 = -2.19216428382605211588e-04L,
42 pS6 = -7.10526623669075243183e-06L,
43 qS1 = -2.94788392796209867269e+00L,
44 qS2 =  3.27309890266528636716e+00L,
45 qS3 = -1.68285799854822427013e+00L,
46 qS4 =  3.90699412641738801874e-01L,
47 qS5 = -3.14365703596053263322e-02L;
48 
49 /*
50  * atanl()
51  */
52 const long double atanhi[] = {
53 	 4.63647609000806116202e-01L,
54 	 7.85398163397448309628e-01L,
55 	 9.82793723247329067960e-01L,
56 	 1.57079632679489661926e+00L,
57 };
58 
59 const long double atanlo[] = {
60 	 1.18469937025062860669e-20L,
61 	-1.25413940316708300586e-20L,
62 	 2.55232234165405176172e-20L,
63 	-2.50827880633416601173e-20L,
64 };
65 
66 const long double aT[] = {
67 	 3.33333333333333333017e-01L,
68 	-1.99999999999999632011e-01L,
69 	 1.42857142857046531280e-01L,
70 	-1.11111111100562372733e-01L,
71 	 9.09090902935647302252e-02L,
72 	-7.69230552476207730353e-02L,
73 	 6.66661718042406260546e-02L,
74 	-5.88158892835030888692e-02L,
75 	 5.25499891539726639379e-02L,
76 	-4.70119845393155721494e-02L,
77 	 4.03539201366454414072e-02L,
78 	-2.91303858419364158725e-02L,
79 	 1.24822046299269234080e-02L,
80 };
81 
82 const long double pi_lo = -5.01655761266833202345e-20L;
83