1 /*-
2 * Copyright (c) 2007 Steven G. Kargl
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
9 * notice unmodified, this list of conditions, and the following
10 * disclaimer.
11 * 2. Redistributions in binary form must reproduce the above copyright
12 * notice, this list of conditions and the following disclaimer in the
13 * documentation and/or other materials provided with the distribution.
14 *
15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
16 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
17 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
18 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
19 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
25 */
26
27 #include <sys/cdefs.h>
28 __FBSDID("$FreeBSD$");
29
30 #include <float.h>
31 #ifdef __i386__
32 #include <ieeefp.h>
33 #endif
34
35 #include "math.h"
36 #include "math_private.h"
37 #if LDBL_MANT_DIG == 64
38 #include "../ld80/e_rem_pio2l.h"
39 #elif LDBL_MANT_DIG == 113
40 #include "../ld128/e_rem_pio2l.h"
41 #else
42 #error "Unsupported long double format"
43 #endif
44
45 long double
sinl(long double x)46 sinl(long double x)
47 {
48 union IEEEl2bits z;
49 int e0, s;
50 long double y[2];
51 long double hi, lo;
52
53 z.e = x;
54 s = z.bits.sign;
55 z.bits.sign = 0;
56
57 /* If x = +-0 or x is a subnormal number, then sin(x) = x */
58 if (z.bits.exp == 0)
59 return (x);
60
61 /* If x = NaN or Inf, then sin(x) = NaN. */
62 if (z.bits.exp == 32767)
63 return ((x - x) / (x - x));
64
65 ENTERI();
66
67 /* Optimize the case where x is already within range. */
68 if (z.e < M_PI_4) {
69 hi = __kernel_sinl(z.e, 0, 0);
70 RETURNI(s ? -hi : hi);
71 }
72
73 e0 = __ieee754_rem_pio2l(x, y);
74 hi = y[0];
75 lo = y[1];
76
77 switch (e0 & 3) {
78 case 0:
79 hi = __kernel_sinl(hi, lo, 1);
80 break;
81 case 1:
82 hi = __kernel_cosl(hi, lo);
83 break;
84 case 2:
85 hi = - __kernel_sinl(hi, lo, 1);
86 break;
87 case 3:
88 hi = - __kernel_cosl(hi, lo);
89 break;
90 }
91
92 RETURNI(hi);
93 }
94