xref: /freebsd/lib/msun/ld80/invtrig.c (revision 0dd5a5603e7a33d976f8e6015620bbc79839c609)
117303c62SDavid Schultz /*-
2*4d846d26SWarner Losh  * SPDX-License-Identifier: BSD-2-Clause
35e53a4f9SPedro F. Giffuni  *
417303c62SDavid Schultz  * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
517303c62SDavid Schultz  * All rights reserved.
617303c62SDavid Schultz  *
717303c62SDavid Schultz  * Redistribution and use in source and binary forms, with or without
817303c62SDavid Schultz  * modification, are permitted provided that the following conditions
917303c62SDavid Schultz  * are met:
1017303c62SDavid Schultz  * 1. Redistributions of source code must retain the above copyright
1117303c62SDavid Schultz  *    notice, this list of conditions and the following disclaimer.
1217303c62SDavid Schultz  * 2. Redistributions in binary form must reproduce the above copyright
1317303c62SDavid Schultz  *    notice, this list of conditions and the following disclaimer in the
1417303c62SDavid Schultz  *    documentation and/or other materials provided with the distribution.
1517303c62SDavid Schultz  *
1617303c62SDavid Schultz  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
1717303c62SDavid Schultz  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
1817303c62SDavid Schultz  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
1917303c62SDavid Schultz  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
2017303c62SDavid Schultz  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
2117303c62SDavid Schultz  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
2217303c62SDavid Schultz  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
2317303c62SDavid Schultz  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
2417303c62SDavid Schultz  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
2517303c62SDavid Schultz  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
2617303c62SDavid Schultz  * SUCH DAMAGE.
2717303c62SDavid Schultz  */
2817303c62SDavid Schultz 
2917303c62SDavid Schultz #include "invtrig.h"
3017303c62SDavid Schultz 
3117303c62SDavid Schultz /*
3217303c62SDavid Schultz  * asinl() and acosl()
3317303c62SDavid Schultz  */
3417303c62SDavid Schultz const long double
3517303c62SDavid Schultz pS0 =  1.66666666666666666631e-01L,
3617303c62SDavid Schultz pS1 = -4.16313987993683104320e-01L,
3717303c62SDavid Schultz pS2 =  3.69068046323246813704e-01L,
3817303c62SDavid Schultz pS3 = -1.36213932016738603108e-01L,
3917303c62SDavid Schultz pS4 =  1.78324189708471965733e-02L,
4017303c62SDavid Schultz pS5 = -2.19216428382605211588e-04L,
4117303c62SDavid Schultz pS6 = -7.10526623669075243183e-06L,
4217303c62SDavid Schultz qS1 = -2.94788392796209867269e+00L,
4317303c62SDavid Schultz qS2 =  3.27309890266528636716e+00L,
4417303c62SDavid Schultz qS3 = -1.68285799854822427013e+00L,
4517303c62SDavid Schultz qS4 =  3.90699412641738801874e-01L,
4617303c62SDavid Schultz qS5 = -3.14365703596053263322e-02L;
4717303c62SDavid Schultz 
4817303c62SDavid Schultz /*
4917303c62SDavid Schultz  * atanl()
5017303c62SDavid Schultz  */
5117303c62SDavid Schultz const long double atanhi[] = {
5217303c62SDavid Schultz 	 4.63647609000806116202e-01L,
5317303c62SDavid Schultz 	 7.85398163397448309628e-01L,
5417303c62SDavid Schultz 	 9.82793723247329067960e-01L,
5517303c62SDavid Schultz 	 1.57079632679489661926e+00L,
5617303c62SDavid Schultz };
5717303c62SDavid Schultz 
5817303c62SDavid Schultz const long double atanlo[] = {
5917303c62SDavid Schultz 	 1.18469937025062860669e-20L,
6017303c62SDavid Schultz 	-1.25413940316708300586e-20L,
6117303c62SDavid Schultz 	 2.55232234165405176172e-20L,
6217303c62SDavid Schultz 	-2.50827880633416601173e-20L,
6317303c62SDavid Schultz };
6417303c62SDavid Schultz 
6517303c62SDavid Schultz const long double aT[] = {
6617303c62SDavid Schultz 	 3.33333333333333333017e-01L,
6717303c62SDavid Schultz 	-1.99999999999999632011e-01L,
6817303c62SDavid Schultz 	 1.42857142857046531280e-01L,
6917303c62SDavid Schultz 	-1.11111111100562372733e-01L,
7017303c62SDavid Schultz 	 9.09090902935647302252e-02L,
7117303c62SDavid Schultz 	-7.69230552476207730353e-02L,
7217303c62SDavid Schultz 	 6.66661718042406260546e-02L,
7317303c62SDavid Schultz 	-5.88158892835030888692e-02L,
7417303c62SDavid Schultz 	 5.25499891539726639379e-02L,
7517303c62SDavid Schultz 	-4.70119845393155721494e-02L,
7617303c62SDavid Schultz 	 4.03539201366454414072e-02L,
7717303c62SDavid Schultz 	-2.91303858419364158725e-02L,
7817303c62SDavid Schultz 	 1.24822046299269234080e-02L,
7917303c62SDavid Schultz };
8017303c62SDavid Schultz 
8117303c62SDavid Schultz const long double pi_lo = -5.01655761266833202345e-20L;
82