1/* Compute sine and cosine of argument.
2 Copyright (C) 2018-2022 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
4
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
9
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
14
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, see
17 <https://www.gnu.org/licenses/>. */
18
19#include <stdint.h>
20#include <math.h>
21#include <sysdeps/ieee754/flt-32/math_config.h>
22#include <s_sincosf.h>
23
24/* The constants and polynomials for sine and cosine. The 2nd entry
25 computes -cos (x) rather than cos (x) to get negation for free. */
26const sincos_t __sincosf_table[2] =
27{
28 {
29 { 1.0, -1.0, -1.0, 1.0 },
30#if TOINT_INTRINSICS
31 0x1.45F306DC9C883p-1,
32#else
33 0x1.45F306DC9C883p+23,
34#endif
35 0x1.921FB54442D18p0,
36 0x1p0,
37 -0x1.ffffffd0c621cp-2,
38 { -0x1.555545995a603p-3, 0x1.55553e1068f19p-5 },
39 { 0x1.1107605230bc4p-7, -0x1.6c087e89a359dp-10 },
40 { -0x1.994eb3774cf24p-13, 0x1.99343027bf8c3p-16 }
41 },
42 {
43 { 1.0, -1.0, -1.0, 1.0 },
44#if TOINT_INTRINSICS
45 0x1.45F306DC9C883p-1,
46#else
47 0x1.45F306DC9C883p+23,
48#endif
49 0x1.921FB54442D18p0,
50 -0x1p0,
51 0x1.ffffffd0c621cp-2,
52 { -0x1.555545995a603p-3, -0x1.55553e1068f19p-5 },
53 { 0x1.1107605230bc4p-7, 0x1.6c087e89a359dp-10 },
54 { -0x1.994eb3774cf24p-13, -0x1.99343027bf8c3p-16 }
55 }
56};
57
58/* Table with 4/PI to 192 bit precision. To avoid unaligned accesses
59 only 8 new bits are added per entry, making the table 4 times larger. */
60const uint32_t __inv_pio4[24] =
61{
62 0xa2, 0xa2f9, 0xa2f983, 0xa2f9836e,
63 0xf9836e4e, 0x836e4e44, 0x6e4e4415, 0x4e441529,
64 0x441529fc, 0x1529fc27, 0x29fc2757, 0xfc2757d1,
65 0x2757d1f5, 0x57d1f534, 0xd1f534dd, 0xf534ddc0,
66 0x34ddc0db, 0xddc0db62, 0xc0db6295, 0xdb629599,
67 0x6295993c, 0x95993c43, 0x993c4390, 0x3c439041
68};
69

source code of glibc/sysdeps/x86/fpu/s_sincosf_data.c