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77a2a8b4 1/* k_cosf.c -- float version of k_cos.c
688903eb 2 Copyright (C) 2011-2018 Free Software Foundation, Inc.
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3 This file is part of the GNU C Library.
4 Contributed by Adhemerval Zanella <azanella@br.ibm.com>, 2011
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Library General Public License as
8 published by the Free Software Foundation; either version 2 of the
9 License, or (at your option) any later version.
10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Library General Public License for more details.
15
16 You should have received a copy of the GNU Library General Public
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17 License along with the GNU C Library; see the file COPYING.LIB. If
18 not, see <http://www.gnu.org/licenses/>. */
77a2a8b4 19
1ed0291c 20#include <math.h>
73a68f94 21#include <fenv.h>
1ed0291c 22#include <math_private.h>
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23
24static const float twom27 = 7.4505806e-09;
25static const float dot3 = 3.0000001e-01;
26static const float dot78125 = 7.8125000e-01;
27
28static const float one = 1.0000000000e+00;
29static const float C1 = 4.1666667908e-02;
30static const float C2 = -1.3888889225e-03;
31static const float C3 = 2.4801587642e-05;
32static const float C4 = -2.7557314297e-07;
33static const float C5 = 2.0875723372e-09;
34static const float C6 = -1.1359647598e-11;
35
36float
37__kernel_cosf (float x, float y)
38{
39 float a, hz, z, r, qx;
40 float ix;
41 ix = __builtin_fabsf (x);
42 if (ix < twom27)
43 { /* |x| < 2**-27 */
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44 __feraiseexcept (FE_INEXACT);
45 return one;
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46 }
47 z = x * x;
48 r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6)))));
49 if (ix < dot3) /* if |x| < 0.3 */
50 return one - ((float) 0.5 * z - (z * r - x * y));
51 else
52 {
53 if (ix > dot78125)
54 { /* x > 0.78125 */
55 qx = (float) 0.28125;
56 }
57 else
58 {
59 qx = ix / 4.0;
60 }
61 hz = (float) 0.5 *z - qx;
62 a = one - qx;
63 return a - (hz - (z * r - x * y));
64 }
65}