1*05a0b428SJohn Marino /* $OpenBSD: invtrig.c,v 1.3 2013/01/13 03:44:59 martynas Exp $ */ 2*05a0b428SJohn Marino /*- 3*05a0b428SJohn Marino * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG> 4*05a0b428SJohn Marino * All rights reserved. 5*05a0b428SJohn Marino * 6*05a0b428SJohn Marino * Redistribution and use in source and binary forms, with or without 7*05a0b428SJohn Marino * modification, are permitted provided that the following conditions 8*05a0b428SJohn Marino * are met: 9*05a0b428SJohn Marino * 1. Redistributions of source code must retain the above copyright 10*05a0b428SJohn Marino * notice, this list of conditions and the following disclaimer. 11*05a0b428SJohn Marino * 2. Redistributions in binary form must reproduce the above copyright 12*05a0b428SJohn Marino * notice, this list of conditions and the following disclaimer in the 13*05a0b428SJohn Marino * documentation and/or other materials provided with the distribution. 14*05a0b428SJohn Marino * 15*05a0b428SJohn Marino * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 16*05a0b428SJohn Marino * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17*05a0b428SJohn Marino * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18*05a0b428SJohn Marino * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19*05a0b428SJohn Marino * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20*05a0b428SJohn Marino * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21*05a0b428SJohn Marino * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22*05a0b428SJohn Marino * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23*05a0b428SJohn Marino * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24*05a0b428SJohn Marino * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25*05a0b428SJohn Marino * SUCH DAMAGE. 26*05a0b428SJohn Marino */ 27*05a0b428SJohn Marino 28*05a0b428SJohn Marino #include <stdint.h> 29*05a0b428SJohn Marino 30*05a0b428SJohn Marino #define STRUCT_DECLS 31*05a0b428SJohn Marino #include "invtrig.h" 32*05a0b428SJohn Marino 33*05a0b428SJohn Marino /* 34*05a0b428SJohn Marino * asinl() and acosl() 35*05a0b428SJohn Marino */ 36*05a0b428SJohn Marino const LONGDOUBLE 37*05a0b428SJohn Marino pS0 = { 0xaaaaaaaaaaaaaaa8ULL, 0x3ffcU }, /* 1.66666666666666666631e-01L */ 38*05a0b428SJohn Marino pS1 = { 0xd5271b6699b48bfaULL, 0xbffdU }, /* -4.16313987993683104320e-01L */ 39*05a0b428SJohn Marino pS2 = { 0xbcf67ca9e9f669cfULL, 0x3ffdU }, /* 3.69068046323246813704e-01L */ 40*05a0b428SJohn Marino pS3 = { 0x8b7baa3d15f9830dULL, 0xbffcU }, /* -1.36213932016738603108e-01L */ 41*05a0b428SJohn Marino pS4 = { 0x92154b093a3bff1cULL, 0x3ff9U }, /* 1.78324189708471965733e-02L */ 42*05a0b428SJohn Marino pS5 = { 0xe5dd76401964508cULL, 0xbff2U }, /* -2.19216428382605211588e-04L */ 43*05a0b428SJohn Marino pS6 = { 0xee69c5b0fdb76951ULL, 0xbfedU }, /* -7.10526623669075243183e-06L */ 44*05a0b428SJohn Marino qS1 = { 0xbcaa2159c01436a0ULL, 0xc000U }, /* -2.94788392796209867269e+00L */ 45*05a0b428SJohn Marino qS2 = { 0xd17a73d1e1564c29ULL, 0x4000U }, /* 3.27309890266528636716e+00L */ 46*05a0b428SJohn Marino qS3 = { 0xd767e411c9cf4c2cULL, 0xbfffU }, /* -1.68285799854822427013e+00L */ 47*05a0b428SJohn Marino qS4 = { 0xc809c0dfb9b0d0b7ULL, 0x3ffdU }, /* 3.90699412641738801874e-01L */ 48*05a0b428SJohn Marino qS5 = { 0x80c3a2197c8ced57ULL, 0xbffaU }; /* -3.14365703596053263322e-02L */ 49*05a0b428SJohn Marino 50*05a0b428SJohn Marino /* 51*05a0b428SJohn Marino * atanl() 52*05a0b428SJohn Marino */ 53*05a0b428SJohn Marino const LONGDOUBLE atanhi[] = { 54*05a0b428SJohn Marino { 0xed63382b0dda7b45ULL, 0x3ffdU }, /* 4.63647609000806116202e-01L */ 55*05a0b428SJohn Marino { 0xc90fdaa22168c235ULL, 0x3ffeU }, /* 7.85398163397448309628e-01L */ 56*05a0b428SJohn Marino { 0xfb985e940fb4d900ULL, 0x3ffeU }, /* 9.82793723247329067960e-01L */ 57*05a0b428SJohn Marino { 0xc90fdaa22168c235ULL, 0x3fffU }, /* 1.57079632679489661926e+00L */ 58*05a0b428SJohn Marino }; 59*05a0b428SJohn Marino 60*05a0b428SJohn Marino const LONGDOUBLE atanlo[] = { 61*05a0b428SJohn Marino { 0xdfc88bd978751a07ULL, 0x3fbcU }, /* 1.18469937025062860669e-20L */ 62*05a0b428SJohn Marino { 0xece675d1fc8f8cbbULL, 0xbfbcU }, /* -1.25413940316708300586e-20L */ 63*05a0b428SJohn Marino { 0xf10f5e197793c283ULL, 0x3fbdU }, /* 2.55232234165405176172e-20L */ 64*05a0b428SJohn Marino { 0xece675d1fc8f8cbbULL, 0xbfbdU }, /* -2.50827880633416601173e-20L */ 65*05a0b428SJohn Marino }; 66*05a0b428SJohn Marino 67*05a0b428SJohn Marino const LONGDOUBLE aT[] = { 68*05a0b428SJohn Marino { 0xaaaaaaaaaaaaaa9fULL, 0x3ffdU }, /* 3.33333333333333333017e-01L */ 69*05a0b428SJohn Marino { 0xcccccccccccc62bcULL, 0xbffcU }, /* -1.99999999999999632011e-01L */ 70*05a0b428SJohn Marino { 0x9249249248b81e3fULL, 0x3ffcU }, /* 1.42857142857046531280e-01L */ 71*05a0b428SJohn Marino { 0xe38e38e3316f3de5ULL, 0xbffbU }, /* -1.11111111100562372733e-01L */ 72*05a0b428SJohn Marino { 0xba2e8b8dc280726aULL, 0x3ffbU }, /* 9.09090902935647302252e-02L */ 73*05a0b428SJohn Marino { 0x9d89d5b4c6847ec4ULL, 0xbffbU }, /* -7.69230552476207730353e-02L */ 74*05a0b428SJohn Marino { 0x8888461d3099c677ULL, 0x3ffbU }, /* 6.66661718042406260546e-02L */ 75*05a0b428SJohn Marino { 0xf0e8ee0f5328dc29ULL, 0xbffaU }, /* -5.88158892835030888692e-02L */ 76*05a0b428SJohn Marino { 0xd73ea84d24bae54aULL, 0x3ffaU }, /* 5.25499891539726639379e-02L */ 77*05a0b428SJohn Marino { 0xc08fa381dcd9213aULL, 0xbffaU }, /* -4.70119845393155721494e-02L */ 78*05a0b428SJohn Marino { 0xa54a26f4095f2a3aULL, 0x3ffaU }, /* 4.03539201366454414072e-02L */ 79*05a0b428SJohn Marino { 0xeea2d8d059ef3ad6ULL, 0xbff9U }, /* -2.91303858419364158725e-02L */ 80*05a0b428SJohn Marino { 0xcc82292ab894b051ULL, 0x3ff8U }, /* 1.24822046299269234080e-02L */ 81*05a0b428SJohn Marino }; 82*05a0b428SJohn Marino 83*05a0b428SJohn Marino const LONGDOUBLE 84*05a0b428SJohn Marino pi_lo = { 0xece675d1fc8f8cbbULL, 0xbfbeU }; /* -5.01655761266833202345e-20L */ 85