invtrig.c revision 181152
1181152Sdas/*- 2181152Sdas * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 3181152Sdas * All rights reserved. 4181152Sdas * 5181152Sdas * Redistribution and use in source and binary forms, with or without 6181152Sdas * modification, are permitted provided that the following conditions 7181152Sdas * are met: 8181152Sdas * 1. Redistributions of source code must retain the above copyright 9181152Sdas * notice, this list of conditions and the following disclaimer. 10181152Sdas * 2. Redistributions in binary form must reproduce the above copyright 11181152Sdas * notice, this list of conditions and the following disclaimer in the 12181152Sdas * documentation and/or other materials provided with the distribution. 13181152Sdas * 14181152Sdas * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 15181152Sdas * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 16181152Sdas * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 17181152Sdas * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 18181152Sdas * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 19181152Sdas * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 20181152Sdas * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21181152Sdas * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22181152Sdas * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23181152Sdas * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24181152Sdas * SUCH DAMAGE. 25181152Sdas */ 26181152Sdas 27181152Sdas#include <sys/cdefs.h> 28181152Sdas__FBSDID("$FreeBSD: head/lib/msun/i387/invtrig.c 181152 2008-08-02 03:56:22Z das $"); 29181152Sdas 30181152Sdas#include <stdint.h> 31181152Sdas 32181152Sdas#define STRUCT_DECLS 33181152Sdas#include "invtrig.h" 34181152Sdas 35181152Sdas/* 36181152Sdas * asinl() and acosl() 37181152Sdas */ 38181152Sdasconst LONGDOUBLE 39181152SdaspS0 = { 0xaaaaaaaaaaaaaaa8ULL, 0x3ffcU }, /* 1.66666666666666666631e-01L */ 40181152SdaspS1 = { 0xd5271b6699b48bfaULL, 0xbffdU }, /* -4.16313987993683104320e-01L */ 41181152SdaspS2 = { 0xbcf67ca9e9f669cfULL, 0x3ffdU }, /* 3.69068046323246813704e-01L */ 42181152SdaspS3 = { 0x8b7baa3d15f9830dULL, 0xbffcU }, /* -1.36213932016738603108e-01L */ 43181152SdaspS4 = { 0x92154b093a3bff1cULL, 0x3ff9U }, /* 1.78324189708471965733e-02L */ 44181152SdaspS5 = { 0xe5dd76401964508cULL, 0xbff2U }, /* -2.19216428382605211588e-04L */ 45181152SdaspS6 = { 0xee69c5b0fdb76951ULL, 0xbfedU }, /* -7.10526623669075243183e-06L */ 46181152SdasqS1 = { 0xbcaa2159c01436a0ULL, 0xc000U }, /* -2.94788392796209867269e+00L */ 47181152SdasqS2 = { 0xd17a73d1e1564c29ULL, 0x4000U }, /* 3.27309890266528636716e+00L */ 48181152SdasqS3 = { 0xd767e411c9cf4c2cULL, 0xbfffU }, /* -1.68285799854822427013e+00L */ 49181152SdasqS4 = { 0xc809c0dfb9b0d0b7ULL, 0x3ffdU }, /* 3.90699412641738801874e-01L */ 50181152SdasqS5 = { 0x80c3a2197c8ced57ULL, 0xbffaU }; /* -3.14365703596053263322e-02L */ 51181152Sdas 52181152Sdas/* 53181152Sdas * atanl() 54181152Sdas */ 55181152Sdasconst LONGDOUBLE atanhi[] = { 56181152Sdas { 0xed63382b0dda7b45ULL, 0x3ffdU }, /* 4.63647609000806116202e-01L */ 57181152Sdas { 0xc90fdaa22168c235ULL, 0x3ffeU }, /* 7.85398163397448309628e-01L */ 58181152Sdas { 0xfb985e940fb4d900ULL, 0x3ffeU }, /* 9.82793723247329067960e-01L */ 59181152Sdas { 0xc90fdaa22168c235ULL, 0x3fffU }, /* 1.57079632679489661926e+00L */ 60181152Sdas}; 61181152Sdas 62181152Sdasconst LONGDOUBLE atanlo[] = { 63181152Sdas { 0xdfc88bd978751a07ULL, 0x3fbcU }, /* 1.18469937025062860669e-20L */ 64181152Sdas { 0xece675d1fc8f8cbbULL, 0xbfbcU }, /* -1.25413940316708300586e-20L */ 65181152Sdas { 0xf10f5e197793c283ULL, 0x3fbdU }, /* 2.55232234165405176172e-20L */ 66181152Sdas { 0xece675d1fc8f8cbbULL, 0xbfbdU }, /* -2.50827880633416601173e-20L */ 67181152Sdas}; 68181152Sdas 69181152Sdasconst LONGDOUBLE aT[] = { 70181152Sdas { 0xaaaaaaaaaaaaaa9fULL, 0x3ffdU }, /* 3.33333333333333333017e-01L */ 71181152Sdas { 0xcccccccccccc62bcULL, 0xbffcU }, /* -1.99999999999999632011e-01L */ 72181152Sdas { 0x9249249248b81e3fULL, 0x3ffcU }, /* 1.42857142857046531280e-01L */ 73181152Sdas { 0xe38e38e3316f3de5ULL, 0xbffbU }, /* -1.11111111100562372733e-01L */ 74181152Sdas { 0xba2e8b8dc280726aULL, 0x3ffbU }, /* 9.09090902935647302252e-02L */ 75181152Sdas { 0x9d89d5b4c6847ec4ULL, 0xbffbU }, /* -7.69230552476207730353e-02L */ 76181152Sdas { 0x8888461d3099c677ULL, 0x3ffbU }, /* 6.66661718042406260546e-02L */ 77181152Sdas { 0xf0e8ee0f5328dc29ULL, 0xbffaU }, /* -5.88158892835030888692e-02L */ 78181152Sdas { 0xd73ea84d24bae54aULL, 0x3ffaU }, /* 5.25499891539726639379e-02L */ 79181152Sdas { 0xc08fa381dcd9213aULL, 0xbffaU }, /* -4.70119845393155721494e-02L */ 80181152Sdas { 0xa54a26f4095f2a3aULL, 0x3ffaU }, /* 4.03539201366454414072e-02L */ 81181152Sdas { 0xeea2d8d059ef3ad6ULL, 0xbff9U }, /* -2.91303858419364158725e-02L */ 82181152Sdas { 0xcc82292ab894b051ULL, 0x3ff8U }, /* 1.24822046299269234080e-02L */ 83181152Sdas}; 84181152Sdas 85181152Sdasconst LONGDOUBLE 86181152Sdaspi_lo = { 0xece675d1fc8f8cbbULL, 0xbfbeU }; /* -5.01655761266833202345e-20L */ 87