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      1 /*-
      2  * Copyright (c) 2008 David Schultz <das (at) FreeBSD.ORG>
      3  * All rights reserved.
      4  *
      5  * Redistribution and use in source and binary forms, with or without
      6  * modification, are permitted provided that the following conditions
      7  * are met:
      8  * 1. Redistributions of source code must retain the above copyright
      9  *    notice, this list of conditions and the following disclaimer.
     10  * 2. Redistributions in binary form must reproduce the above copyright
     11  *    notice, this list of conditions and the following disclaimer in the
     12  *    documentation and/or other materials provided with the distribution.
     13  *
     14  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
     15  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     16  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     17  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
     18  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     19  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     20  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     21  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     22  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     23  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     24  * SUCH DAMAGE.
     25  */
     26 
     27 #include <sys/cdefs.h>
     28 __FBSDID("$FreeBSD$");
     29 
     30 #include "invtrig.h"
     31 
     32 /*
     33  * asinl() and acosl()
     34  */
     35 const long double
     36 pS0 =  1.66666666666666666666666666666700314e-01L,
     37 pS1 = -7.32816946414566252574527475428622708e-01L,
     38 pS2 =  1.34215708714992334609030036562143589e+00L,
     39 pS3 = -1.32483151677116409805070261790752040e+00L,
     40 pS4 =  7.61206183613632558824485341162121989e-01L,
     41 pS5 = -2.56165783329023486777386833928147375e-01L,
     42 pS6 =  4.80718586374448793411019434585413855e-02L,
     43 pS7 = -4.42523267167024279410230886239774718e-03L,
     44 pS8 =  1.44551535183911458253205638280410064e-04L,
     45 pS9 = -2.10558957916600254061591040482706179e-07L,
     46 qS1 = -4.84690167848739751544716485245697428e+00L,
     47 qS2 =  9.96619113536172610135016921140206980e+00L,
     48 qS3 = -1.13177895428973036660836798461641458e+01L,
     49 qS4 =  7.74004374389488266169304117714658761e+00L,
     50 qS5 = -3.25871986053534084709023539900339905e+00L,
     51 qS6 =  8.27830318881232209752469022352928864e-01L,
     52 qS7 = -1.18768052702942805423330715206348004e-01L,
     53 qS8 =  8.32600764660522313269101537926539470e-03L,
     54 qS9 = -1.99407384882605586705979504567947007e-04L;
     55 
     56 /*
     57  * atanl()
     58  */
     59 const long double atanhi[] = {
     60 	 4.63647609000806116214256231461214397e-01L,
     61 	 7.85398163397448309615660845819875699e-01L,
     62 	 9.82793723247329067985710611014666038e-01L,
     63 	 1.57079632679489661923132169163975140e+00L,
     64 };
     65 
     66 const long double atanlo[] = {
     67 	 4.89509642257333492668618435220297706e-36L,
     68 	 2.16795253253094525619926100651083806e-35L,
     69 	-2.31288434538183565909319952098066272e-35L,
     70 	 4.33590506506189051239852201302167613e-35L,
     71 };
     72 
     73 const long double aT[] = {
     74 	 3.33333333333333333333333333333333125e-01L,
     75 	-1.99999999999999999999999999999180430e-01L,
     76 	 1.42857142857142857142857142125269827e-01L,
     77 	-1.11111111111111111111110834490810169e-01L,
     78 	 9.09090909090909090908522355708623681e-02L,
     79 	-7.69230769230769230696553844935357021e-02L,
     80 	 6.66666666666666660390096773046256096e-02L,
     81 	-5.88235294117646671706582985209643694e-02L,
     82 	 5.26315789473666478515847092020327506e-02L,
     83 	-4.76190476189855517021024424991436144e-02L,
     84 	 4.34782608678695085948531993458097026e-02L,
     85 	-3.99999999632663469330634215991142368e-02L,
     86 	 3.70370363987423702891250829918659723e-02L,
     87 	-3.44827496515048090726669907612335954e-02L,
     88 	 3.22579620681420149871973710852268528e-02L,
     89 	-3.03020767654269261041647570626778067e-02L,
     90 	 2.85641979882534783223403715930946138e-02L,
     91 	-2.69824879726738568189929461383741323e-02L,
     92 	 2.54194698498808542954187110873675769e-02L,
     93 	-2.35083879708189059926183138130183215e-02L,
     94 	 2.04832358998165364349957325067131428e-02L,
     95 	-1.54489555488544397858507248612362957e-02L,
     96 	 8.64492360989278761493037861575248038e-03L,
     97 	-2.58521121597609872727919154569765469e-03L,
     98 };
     99 
    100 const long double pi_lo = 8.67181013012378102479704402604335225e-35L;
    101