1/* Compute sine and cosine of argument.
2 Copyright (C) 1997-2022 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 <errno.h>
20#include <math.h>
21
22#include <math_private.h>
23#include <libm-alias-ldouble.h>
24
25
26void
27__sincosl (long double x, long double *sinx, long double *cosx)
28{
29 int32_t se, i0, i1 __attribute__ ((unused));
30
31 /* High word of x. */
32 GET_LDOUBLE_WORDS (se, i0, i1, x);
33
34 /* |x| ~< pi/4 */
35 se &= 0x7fff;
36 if (se < 0x3ffe || (se == 0x3ffe && i0 <= 0xc90fdaa2))
37 {
38 *sinx = __kernel_sinl (x, 0.0, 0);
39 *cosx = __kernel_cosl (x, 0.0);
40 }
41 else if (se == 0x7fff)
42 {
43 /* sin(Inf or NaN) is NaN */
44 *sinx = *cosx = x - x;
45 if (isinf (x))
46 __set_errno (EDOM);
47 }
48 else
49 {
50 /* Argument reduction needed. */
51 long double y[2];
52 int n;
53
54 n = __ieee754_rem_pio2l (x, y);
55 switch (n & 3)
56 {
57 case 0:
58 *sinx = __kernel_sinl (y[0], y[1], 1);
59 *cosx = __kernel_cosl (y[0], y[1]);
60 break;
61 case 1:
62 *sinx = __kernel_cosl (y[0], y[1]);
63 *cosx = -__kernel_sinl (y[0], y[1], 1);
64 break;
65 case 2:
66 *sinx = -__kernel_sinl (y[0], y[1], 1);
67 *cosx = -__kernel_cosl (y[0], y[1]);
68 break;
69 default:
70 *sinx = -__kernel_cosl (y[0], y[1]);
71 *cosx = __kernel_sinl (y[0], y[1], 1);
72 break;
73 }
74 }
75}
76libm_alias_ldouble (__sincos, sincos)
77

source code of glibc/sysdeps/ieee754/ldbl-96/s_sincosl.c