1 /*- 2 * SPDX-License-Identifier: BSD-2-Clause-FreeBSD 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 <sys/cdefs.h> 30 __FBSDID("$FreeBSD$"); 31 32 #include "invtrig.h" 33 34 /* 35 * asinl() and acosl() 36 */ 37 const long double 38 pS0 = 1.66666666666666666631e-01L, 39 pS1 = -4.16313987993683104320e-01L, 40 pS2 = 3.69068046323246813704e-01L, 41 pS3 = -1.36213932016738603108e-01L, 42 pS4 = 1.78324189708471965733e-02L, 43 pS5 = -2.19216428382605211588e-04L, 44 pS6 = -7.10526623669075243183e-06L, 45 qS1 = -2.94788392796209867269e+00L, 46 qS2 = 3.27309890266528636716e+00L, 47 qS3 = -1.68285799854822427013e+00L, 48 qS4 = 3.90699412641738801874e-01L, 49 qS5 = -3.14365703596053263322e-02L; 50 51 /* 52 * atanl() 53 */ 54 const long double atanhi[] = { 55 4.63647609000806116202e-01L, 56 7.85398163397448309628e-01L, 57 9.82793723247329067960e-01L, 58 1.57079632679489661926e+00L, 59 }; 60 61 const long double atanlo[] = { 62 1.18469937025062860669e-20L, 63 -1.25413940316708300586e-20L, 64 2.55232234165405176172e-20L, 65 -2.50827880633416601173e-20L, 66 }; 67 68 const long double aT[] = { 69 3.33333333333333333017e-01L, 70 -1.99999999999999632011e-01L, 71 1.42857142857046531280e-01L, 72 -1.11111111100562372733e-01L, 73 9.09090902935647302252e-02L, 74 -7.69230552476207730353e-02L, 75 6.66661718042406260546e-02L, 76 -5.88158892835030888692e-02L, 77 5.25499891539726639379e-02L, 78 -4.70119845393155721494e-02L, 79 4.03539201366454414072e-02L, 80 -2.91303858419364158725e-02L, 81 1.24822046299269234080e-02L, 82 }; 83 84 const long double pi_lo = -5.01655761266833202345e-20L; 85