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