newlib/libm/ld80/invtrig.c

   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 "invtrig.h"
  33
  34 /*
  35  * asinl() and acosl()
  36  */
  37 const long double
  38 pS0 =  1.66666666666666666631e-01L,
  39 pS1 = -4.16313987993683104320e-01L,
  40 pS2 =  3.69068046323246813704e-01L,
  41 pS3 = -1.36213932016738603108e-01L,
  42 pS4 =  1.78324189708471965733e-02L,
  43 pS5 = -2.19216428382605211588e-04L,
  44 pS6 = -7.10526623669075243183e-06L,
  45 qS1 = -2.94788392796209867269e+00L,
  46 qS2 =  3.27309890266528636716e+00L,
  47 qS3 = -1.68285799854822427013e+00L,
  48 qS4 =  3.90699412641738801874e-01L,
  49 qS5 = -3.14365703596053263322e-02L;
  50
  51 /*
  52  * atanl()
  53  */
  54 const long double atanhi[] = {
  55          4.63647609000806116202e-01L,
  56          7.85398163397448309628e-01L,
  57          9.82793723247329067960e-01L,
  58          1.57079632679489661926e+00L,
  59 };
  60
  61 const long double atanlo[] = {
  62          1.18469937025062860669e-20L,
  63         -1.25413940316708300586e-20L,
  64          2.55232234165405176172e-20L,
  65         -2.50827880633416601173e-20L,
  66 };
  67
  68 const long double aT[] = {
  69          3.33333333333333333017e-01L,
  70         -1.99999999999999632011e-01L,
  71          1.42857142857046531280e-01L,
  72         -1.11111111100562372733e-01L,
  73          9.09090902935647302252e-02L,
  74         -7.69230552476207730353e-02L,
  75          6.66661718042406260546e-02L,
  76         -5.88158892835030888692e-02L,
  77          5.25499891539726639379e-02L,
  78         -4.70119845393155721494e-02L,
  79          4.03539201366454414072e-02L,
  80         -2.91303858419364158725e-02L,
  81          1.24822046299269234080e-02L,
  82 };
  83
  84 const long double pi_lo = -5.01655761266833202345e-20L;