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 <sys/cdefs.h>
30 __FBSDID("$FreeBSD$");
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
47 long double
sinl(long double x)48 sinl(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