s_sinl.c revision 330897 
1/*-
2 * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
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 <sys/cdefs.h>
30__FBSDID("$FreeBSD: stable/11/lib/msun/src/s_sinl.c 330897 2018-03-14 03:19:51Z eadler $");
31
32#include <float.h>
33#ifdef __i386__
34#include <ieeefp.h>
35#endif
36
37#include "math.h"
38#include "math_private.h"
39#if LDBL_MANT_DIG == 64
40#include "../ld80/e_rem_pio2l.h"
41#elif LDBL_MANT_DIG == 113
42#include "../ld128/e_rem_pio2l.h"
43#else
44#error "Unsupported long double format"
45#endif
46
47long double
48sinl(long double x)
49{
50	union IEEEl2bits z;
51	int e0, s;
52	long double y[2];
53	long double hi, lo;
54
55	z.e = x;
56	s = z.bits.sign;
57	z.bits.sign = 0;
58
59	/* If x = +-0 or x is a subnormal number, then sin(x) = x */
60	if (z.bits.exp == 0)
61		return (x);
62
63	/* If x = NaN or Inf, then sin(x) = NaN. */
64	if (z.bits.exp == 32767)
65		return ((x - x) / (x - x));
66
67	ENTERI();
68
69	/* Optimize the case where x is already within range. */
70	if (z.e < M_PI_4) {
71		hi = __kernel_sinl(z.e, 0, 0);
72		RETURNI(s ? -hi : hi);
73	}
74
75	e0 = __ieee754_rem_pio2l(x, y);
76	hi = y[0];
77	lo = y[1];
78
79	switch (e0 & 3) {
80	case 0:
81	    hi = __kernel_sinl(hi, lo, 1);
82	    break;
83	case 1:
84	    hi = __kernel_cosl(hi, lo);
85	    break;
86	case 2:
87	    hi = - __kernel_sinl(hi, lo, 1);
88	    break;
89	case 3:
90	    hi = - __kernel_cosl(hi, lo);
91	    break;
92	}
93
94	RETURNI(hi);
95}
96