1/*-
2 * SPDX-License-Identifier: BSD-2-Clause
3 *
4 * Copyright (c) 2007 Steven G. Kargl
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 unmodified, this list of conditions, and the following
12 *    disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 *    notice, this list of conditions and the following disclaimer in the
15 *    documentation and/or other materials provided with the distribution.
16 *
17 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
18 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
19 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
20 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
21 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
22 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
23 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
24 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
26 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27 */
28
29#include <float.h>
30#ifdef __i386__
31#include <ieeefp.h>
32#endif
33
34#include "math.h"
35#include "math_private.h"
36#if LDBL_MANT_DIG == 64
37#include "../ld80/e_rem_pio2l.h"
38#elif LDBL_MANT_DIG == 113
39#include "../ld128/e_rem_pio2l.h"
40#else
41#error "Unsupported long double format"
42#endif
43
44long double
45sinl(long double x)
46{
47	union IEEEl2bits z;
48	int e0, s;
49	long double y[2];
50	long double hi, lo;
51
52	z.e = x;
53	s = z.bits.sign;
54	z.bits.sign = 0;
55
56	/* If x = +-0 or x is a subnormal number, then sin(x) = x */
57	if (z.bits.exp == 0)
58		return (x);
59
60	/* If x = NaN or Inf, then sin(x) = NaN. */
61	if (z.bits.exp == 32767)
62		return ((x - x) / (x - x));
63
64	ENTERI();
65
66	/* Optimize the case where x is already within range. */
67	if (z.e < M_PI_4) {
68		hi = __kernel_sinl(z.e, 0, 0);
69		RETURNI(s ? -hi : hi);
70	}
71
72	e0 = __ieee754_rem_pio2l(x, y);
73	hi = y[0];
74	lo = y[1];
75
76	switch (e0 & 3) {
77	case 0:
78	    hi = __kernel_sinl(hi, lo, 1);
79	    break;
80	case 1:
81	    hi = __kernel_cosl(hi, lo);
82	    break;
83	case 2:
84	    hi = - __kernel_sinl(hi, lo, 1);
85	    break;
86	case 3:
87	    hi = - __kernel_cosl(hi, lo);
88	    break;
89	}
90
91	RETURNI(hi);
92}
93