1*bec2cc9eSmartynas /* $OpenBSD: invtrig.c,v 1.3 2013/01/13 03:44:59 martynas Exp $ */ 2390c8400Smartynas /*- 3390c8400Smartynas * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 4390c8400Smartynas * All rights reserved. 5390c8400Smartynas * 6390c8400Smartynas * Redistribution and use in source and binary forms, with or without 7390c8400Smartynas * modification, are permitted provided that the following conditions 8390c8400Smartynas * are met: 9390c8400Smartynas * 1. Redistributions of source code must retain the above copyright 10390c8400Smartynas * notice, this list of conditions and the following disclaimer. 11390c8400Smartynas * 2. Redistributions in binary form must reproduce the above copyright 12390c8400Smartynas * notice, this list of conditions and the following disclaimer in the 13390c8400Smartynas * documentation and/or other materials provided with the distribution. 14390c8400Smartynas * 15390c8400Smartynas * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 16390c8400Smartynas * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17390c8400Smartynas * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18390c8400Smartynas * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19390c8400Smartynas * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20390c8400Smartynas * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21390c8400Smartynas * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22390c8400Smartynas * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23390c8400Smartynas * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24390c8400Smartynas * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25390c8400Smartynas * SUCH DAMAGE. 26390c8400Smartynas */ 27390c8400Smartynas 28390c8400Smartynas #include <stdint.h> 29390c8400Smartynas 30390c8400Smartynas #define STRUCT_DECLS 31390c8400Smartynas #include "invtrig.h" 32390c8400Smartynas 33390c8400Smartynas /* 34390c8400Smartynas * asinl() and acosl() 35390c8400Smartynas */ 36390c8400Smartynas const LONGDOUBLE 37390c8400Smartynas pS0 = { 0xaaaaaaaaaaaaaaa8ULL, 0x3ffcU }, /* 1.66666666666666666631e-01L */ 38390c8400Smartynas pS1 = { 0xd5271b6699b48bfaULL, 0xbffdU }, /* -4.16313987993683104320e-01L */ 39390c8400Smartynas pS2 = { 0xbcf67ca9e9f669cfULL, 0x3ffdU }, /* 3.69068046323246813704e-01L */ 40390c8400Smartynas pS3 = { 0x8b7baa3d15f9830dULL, 0xbffcU }, /* -1.36213932016738603108e-01L */ 41390c8400Smartynas pS4 = { 0x92154b093a3bff1cULL, 0x3ff9U }, /* 1.78324189708471965733e-02L */ 42390c8400Smartynas pS5 = { 0xe5dd76401964508cULL, 0xbff2U }, /* -2.19216428382605211588e-04L */ 43390c8400Smartynas pS6 = { 0xee69c5b0fdb76951ULL, 0xbfedU }, /* -7.10526623669075243183e-06L */ 44390c8400Smartynas qS1 = { 0xbcaa2159c01436a0ULL, 0xc000U }, /* -2.94788392796209867269e+00L */ 45390c8400Smartynas qS2 = { 0xd17a73d1e1564c29ULL, 0x4000U }, /* 3.27309890266528636716e+00L */ 46390c8400Smartynas qS3 = { 0xd767e411c9cf4c2cULL, 0xbfffU }, /* -1.68285799854822427013e+00L */ 47390c8400Smartynas qS4 = { 0xc809c0dfb9b0d0b7ULL, 0x3ffdU }, /* 3.90699412641738801874e-01L */ 48390c8400Smartynas qS5 = { 0x80c3a2197c8ced57ULL, 0xbffaU }; /* -3.14365703596053263322e-02L */ 49390c8400Smartynas 50390c8400Smartynas /* 51390c8400Smartynas * atanl() 52390c8400Smartynas */ 53390c8400Smartynas const LONGDOUBLE atanhi[] = { 54390c8400Smartynas { 0xed63382b0dda7b45ULL, 0x3ffdU }, /* 4.63647609000806116202e-01L */ 55390c8400Smartynas { 0xc90fdaa22168c235ULL, 0x3ffeU }, /* 7.85398163397448309628e-01L */ 56390c8400Smartynas { 0xfb985e940fb4d900ULL, 0x3ffeU }, /* 9.82793723247329067960e-01L */ 57390c8400Smartynas { 0xc90fdaa22168c235ULL, 0x3fffU }, /* 1.57079632679489661926e+00L */ 58390c8400Smartynas }; 59390c8400Smartynas 60390c8400Smartynas const LONGDOUBLE atanlo[] = { 61390c8400Smartynas { 0xdfc88bd978751a07ULL, 0x3fbcU }, /* 1.18469937025062860669e-20L */ 62390c8400Smartynas { 0xece675d1fc8f8cbbULL, 0xbfbcU }, /* -1.25413940316708300586e-20L */ 63390c8400Smartynas { 0xf10f5e197793c283ULL, 0x3fbdU }, /* 2.55232234165405176172e-20L */ 64390c8400Smartynas { 0xece675d1fc8f8cbbULL, 0xbfbdU }, /* -2.50827880633416601173e-20L */ 65390c8400Smartynas }; 66390c8400Smartynas 67390c8400Smartynas const LONGDOUBLE aT[] = { 68390c8400Smartynas { 0xaaaaaaaaaaaaaa9fULL, 0x3ffdU }, /* 3.33333333333333333017e-01L */ 69390c8400Smartynas { 0xcccccccccccc62bcULL, 0xbffcU }, /* -1.99999999999999632011e-01L */ 70390c8400Smartynas { 0x9249249248b81e3fULL, 0x3ffcU }, /* 1.42857142857046531280e-01L */ 71390c8400Smartynas { 0xe38e38e3316f3de5ULL, 0xbffbU }, /* -1.11111111100562372733e-01L */ 72390c8400Smartynas { 0xba2e8b8dc280726aULL, 0x3ffbU }, /* 9.09090902935647302252e-02L */ 73390c8400Smartynas { 0x9d89d5b4c6847ec4ULL, 0xbffbU }, /* -7.69230552476207730353e-02L */ 74390c8400Smartynas { 0x8888461d3099c677ULL, 0x3ffbU }, /* 6.66661718042406260546e-02L */ 75390c8400Smartynas { 0xf0e8ee0f5328dc29ULL, 0xbffaU }, /* -5.88158892835030888692e-02L */ 76390c8400Smartynas { 0xd73ea84d24bae54aULL, 0x3ffaU }, /* 5.25499891539726639379e-02L */ 77390c8400Smartynas { 0xc08fa381dcd9213aULL, 0xbffaU }, /* -4.70119845393155721494e-02L */ 78390c8400Smartynas { 0xa54a26f4095f2a3aULL, 0x3ffaU }, /* 4.03539201366454414072e-02L */ 79390c8400Smartynas { 0xeea2d8d059ef3ad6ULL, 0xbff9U }, /* -2.91303858419364158725e-02L */ 80390c8400Smartynas { 0xcc82292ab894b051ULL, 0x3ff8U }, /* 1.24822046299269234080e-02L */ 81390c8400Smartynas }; 82390c8400Smartynas 83390c8400Smartynas const LONGDOUBLE 84390c8400Smartynas pi_lo = { 0xece675d1fc8f8cbbULL, 0xbfbeU }; /* -5.01655761266833202345e-20L */ 85