1*cfe182f3Schristos /*- 2*cfe182f3Schristos * SPDX-License-Identifier: BSD-2-Clause 3*cfe182f3Schristos * 4*cfe182f3Schristos * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 5*cfe182f3Schristos * All rights reserved. 6*cfe182f3Schristos * 7*cfe182f3Schristos * Redistribution and use in source and binary forms, with or without 8*cfe182f3Schristos * modification, are permitted provided that the following conditions 9*cfe182f3Schristos * are met: 10*cfe182f3Schristos * 1. Redistributions of source code must retain the above copyright 11*cfe182f3Schristos * notice, this list of conditions and the following disclaimer. 12*cfe182f3Schristos * 2. Redistributions in binary form must reproduce the above copyright 13*cfe182f3Schristos * notice, this list of conditions and the following disclaimer in the 14*cfe182f3Schristos * documentation and/or other materials provided with the distribution. 15*cfe182f3Schristos * 16*cfe182f3Schristos * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 17*cfe182f3Schristos * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 18*cfe182f3Schristos * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 19*cfe182f3Schristos * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 20*cfe182f3Schristos * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 21*cfe182f3Schristos * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 22*cfe182f3Schristos * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 23*cfe182f3Schristos * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 24*cfe182f3Schristos * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 25*cfe182f3Schristos * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 26*cfe182f3Schristos * SUCH DAMAGE. 27*cfe182f3Schristos */ 28*cfe182f3Schristos 29*cfe182f3Schristos #include <sys/cdefs.h> 30*cfe182f3Schristos #include "invtrig.h" 31*cfe182f3Schristos 32*cfe182f3Schristos /* 33*cfe182f3Schristos * asinl() and acosl() 34*cfe182f3Schristos */ 35*cfe182f3Schristos const long double 36*cfe182f3Schristos pS0 = 1.66666666666666666631e-01L, 37*cfe182f3Schristos pS1 = -4.16313987993683104320e-01L, 38*cfe182f3Schristos pS2 = 3.69068046323246813704e-01L, 39*cfe182f3Schristos pS3 = -1.36213932016738603108e-01L, 40*cfe182f3Schristos pS4 = 1.78324189708471965733e-02L, 41*cfe182f3Schristos pS5 = -2.19216428382605211588e-04L, 42*cfe182f3Schristos pS6 = -7.10526623669075243183e-06L, 43*cfe182f3Schristos qS1 = -2.94788392796209867269e+00L, 44*cfe182f3Schristos qS2 = 3.27309890266528636716e+00L, 45*cfe182f3Schristos qS3 = -1.68285799854822427013e+00L, 46*cfe182f3Schristos qS4 = 3.90699412641738801874e-01L, 47*cfe182f3Schristos qS5 = -3.14365703596053263322e-02L; 48*cfe182f3Schristos 49*cfe182f3Schristos /* 50*cfe182f3Schristos * atanl() 51*cfe182f3Schristos */ 52*cfe182f3Schristos const long double atanhi[] = { 53*cfe182f3Schristos 4.63647609000806116202e-01L, 54*cfe182f3Schristos 7.85398163397448309628e-01L, 55*cfe182f3Schristos 9.82793723247329067960e-01L, 56*cfe182f3Schristos 1.57079632679489661926e+00L, 57*cfe182f3Schristos }; 58*cfe182f3Schristos 59*cfe182f3Schristos const long double atanlo[] = { 60*cfe182f3Schristos 1.18469937025062860669e-20L, 61*cfe182f3Schristos -1.25413940316708300586e-20L, 62*cfe182f3Schristos 2.55232234165405176172e-20L, 63*cfe182f3Schristos -2.50827880633416601173e-20L, 64*cfe182f3Schristos }; 65*cfe182f3Schristos 66*cfe182f3Schristos const long double aT[] = { 67*cfe182f3Schristos 3.33333333333333333017e-01L, 68*cfe182f3Schristos -1.99999999999999632011e-01L, 69*cfe182f3Schristos 1.42857142857046531280e-01L, 70*cfe182f3Schristos -1.11111111100562372733e-01L, 71*cfe182f3Schristos 9.09090902935647302252e-02L, 72*cfe182f3Schristos -7.69230552476207730353e-02L, 73*cfe182f3Schristos 6.66661718042406260546e-02L, 74*cfe182f3Schristos -5.88158892835030888692e-02L, 75*cfe182f3Schristos 5.25499891539726639379e-02L, 76*cfe182f3Schristos -4.70119845393155721494e-02L, 77*cfe182f3Schristos 4.03539201366454414072e-02L, 78*cfe182f3Schristos -2.91303858419364158725e-02L, 79*cfe182f3Schristos 1.24822046299269234080e-02L, 80*cfe182f3Schristos }; 81*cfe182f3Schristos 82*cfe182f3Schristos const long double pi_lo = -5.01655761266833202345e-20L; 83