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 "cdefs-compat.h"
28 //__FBSDID("$FreeBSD: src/lib/msun/src/s_sinl.c,v 1.3 2011/05/30 19:41:28 kargl Exp $");
29
30 #include <float.h>
31 #include <openlibm_math.h>
32
33 #include "math_private.h"
34 #if LDBL_MANT_DIG == 64
35 #include "../ld80/e_rem_pio2l.h"
36 #elif LDBL_MANT_DIG == 113
37 #include "../ld128/e_rem_pio2l.h"
38 #else
39 #error "Unsupported long double format"
40 #endif
41
42 OLM_DLLEXPORT long double
sinl(long double x)43 sinl(long double x)
44 {
45 union IEEEl2bits z;
46 int e0, s;
47 long double y[2];
48 long double hi, lo;
49
50 z.e = x;
51 s = z.bits.sign;
52 z.bits.sign = 0;
53
54 /* If x = +-0 or x is a subnormal number, then sin(x) = x */
55 if (z.bits.exp == 0)
56 return (x);
57
58 /* If x = NaN or Inf, then sin(x) = NaN. */
59 if (z.bits.exp == 32767)
60 return ((x - x) / (x - x));
61
62 /* Optimize the case where x is already within range. */
63 if (z.e < M_PI_4) {
64 hi = __kernel_sinl(z.e, 0, 0);
65 return (s ? -hi : hi);
66 }
67
68 e0 = __ieee754_rem_pio2l(x, y);
69 hi = y[0];
70 lo = y[1];
71
72 switch (e0 & 3) {
73 case 0:
74 hi = __kernel_sinl(hi, lo, 1);
75 break;
76 case 1:
77 hi = __kernel_cosl(hi, lo);
78 break;
79 case 2:
80 hi = - __kernel_sinl(hi, lo, 1);
81 break;
82 case 3:
83 hi = - __kernel_cosl(hi, lo);
84 break;
85 }
86
87 return (hi);
88 }
89