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 <stdint.h> 33 34 #define STRUCT_DECLS 35 #include "invtrig.h" 36 37 /* 38 * asinl() and acosl() 39 */ 40 const LONGDOUBLE 41 pS0 = { 0xaaaaaaaaaaaaaaa8ULL, 0x3ffcU }, /* 1.66666666666666666631e-01L */ 42 pS1 = { 0xd5271b6699b48bfaULL, 0xbffdU }, /* -4.16313987993683104320e-01L */ 43 pS2 = { 0xbcf67ca9e9f669cfULL, 0x3ffdU }, /* 3.69068046323246813704e-01L */ 44 pS3 = { 0x8b7baa3d15f9830dULL, 0xbffcU }, /* -1.36213932016738603108e-01L */ 45 pS4 = { 0x92154b093a3bff1cULL, 0x3ff9U }, /* 1.78324189708471965733e-02L */ 46 pS5 = { 0xe5dd76401964508cULL, 0xbff2U }, /* -2.19216428382605211588e-04L */ 47 pS6 = { 0xee69c5b0fdb76951ULL, 0xbfedU }, /* -7.10526623669075243183e-06L */ 48 qS1 = { 0xbcaa2159c01436a0ULL, 0xc000U }, /* -2.94788392796209867269e+00L */ 49 qS2 = { 0xd17a73d1e1564c29ULL, 0x4000U }, /* 3.27309890266528636716e+00L */ 50 qS3 = { 0xd767e411c9cf4c2cULL, 0xbfffU }, /* -1.68285799854822427013e+00L */ 51 qS4 = { 0xc809c0dfb9b0d0b7ULL, 0x3ffdU }, /* 3.90699412641738801874e-01L */ 52 qS5 = { 0x80c3a2197c8ced57ULL, 0xbffaU }; /* -3.14365703596053263322e-02L */ 53 54 /* 55 * atanl() 56 */ 57 const LONGDOUBLE atanhi[] = { 58 { 0xed63382b0dda7b45ULL, 0x3ffdU }, /* 4.63647609000806116202e-01L */ 59 { 0xc90fdaa22168c235ULL, 0x3ffeU }, /* 7.85398163397448309628e-01L */ 60 { 0xfb985e940fb4d900ULL, 0x3ffeU }, /* 9.82793723247329067960e-01L */ 61 { 0xc90fdaa22168c235ULL, 0x3fffU }, /* 1.57079632679489661926e+00L */ 62 }; 63 64 const LONGDOUBLE atanlo[] = { 65 { 0xdfc88bd978751a07ULL, 0x3fbcU }, /* 1.18469937025062860669e-20L */ 66 { 0xece675d1fc8f8cbbULL, 0xbfbcU }, /* -1.25413940316708300586e-20L */ 67 { 0xf10f5e197793c283ULL, 0x3fbdU }, /* 2.55232234165405176172e-20L */ 68 { 0xece675d1fc8f8cbbULL, 0xbfbdU }, /* -2.50827880633416601173e-20L */ 69 }; 70 71 const LONGDOUBLE aT[] = { 72 { 0xaaaaaaaaaaaaaa9fULL, 0x3ffdU }, /* 3.33333333333333333017e-01L */ 73 { 0xcccccccccccc62bcULL, 0xbffcU }, /* -1.99999999999999632011e-01L */ 74 { 0x9249249248b81e3fULL, 0x3ffcU }, /* 1.42857142857046531280e-01L */ 75 { 0xe38e38e3316f3de5ULL, 0xbffbU }, /* -1.11111111100562372733e-01L */ 76 { 0xba2e8b8dc280726aULL, 0x3ffbU }, /* 9.09090902935647302252e-02L */ 77 { 0x9d89d5b4c6847ec4ULL, 0xbffbU }, /* -7.69230552476207730353e-02L */ 78 { 0x8888461d3099c677ULL, 0x3ffbU }, /* 6.66661718042406260546e-02L */ 79 { 0xf0e8ee0f5328dc29ULL, 0xbffaU }, /* -5.88158892835030888692e-02L */ 80 { 0xd73ea84d24bae54aULL, 0x3ffaU }, /* 5.25499891539726639379e-02L */ 81 { 0xc08fa381dcd9213aULL, 0xbffaU }, /* -4.70119845393155721494e-02L */ 82 { 0xa54a26f4095f2a3aULL, 0x3ffaU }, /* 4.03539201366454414072e-02L */ 83 { 0xeea2d8d059ef3ad6ULL, 0xbff9U }, /* -2.91303858419364158725e-02L */ 84 { 0xcc82292ab894b051ULL, 0x3ff8U }, /* 1.24822046299269234080e-02L */ 85 }; 86 87 const LONGDOUBLE 88 pi_lo = { 0xece675d1fc8f8cbbULL, 0xbfbeU }; /* -5.01655761266833202345e-20L */ 89