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
44 long double
sinl(long double x)45 sinl(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