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 
28 #if LDBL_MANT_DIG == 64
29 #include "../ld80/e_rem_pio2l.h"
30 #elif LDBL_MANT_DIG == 113
31 #include "../ld128/e_rem_pio2l.h"
32 #else
33 #error "Unsupported long double format"
34 #endif
35 
36 long double
sinl(long double x)37 sinl(long double x)
38 {
39 	union IEEEl2bits z;
40 	int e0, s;
41 	long double y[2];
42 	long double hi, lo;
43 
44 	z.e = x;
45 	s = z.bits.sign;
46 	z.bits.sign = 0;
47 
48 	/* If x = +-0 or x is a subnormal number, then sin(x) = x */
49 	if (z.bits.exp == 0) {
50                 if (x != 0.0L)
51                         __math_set_inexactl();
52 		return (x);
53         }
54 
55 	/* If x = NaN or Inf, then sin(x) = NaN. */
56 	if (z.bits.exp == 32767)
57                 return __math_invalidl(x);
58 
59 	/* Optimize the case where x is already within range. */
60 	if (z.e < _M_PI_4L) {
61 		hi = __kernel_sinl(z.e, 0, 0);
62 		return  (s ? -hi : hi);
63 	}
64 
65 	e0 = __ieee754_rem_pio2l(x, y);
66 	hi = y[0];
67 	lo = y[1];
68 
69 	switch (e0 & 3) {
70 	case 0:
71 	    hi = __kernel_sinl(hi, lo, 1);
72 	    break;
73 	case 1:
74 	    hi = __kernel_cosl(hi, lo);
75 	    break;
76 	case 2:
77 	    hi = - __kernel_sinl(hi, lo, 1);
78 	    break;
79 	case 3:
80 	    hi = - __kernel_cosl(hi, lo);
81 	    break;
82 	}
83 
84 	return (hi);
85 }
86 
87 #if defined(_HAVE_ALIAS_ATTRIBUTE)
88 #ifndef __clang__
89 #pragma GCC diagnostic ignored "-Wmissing-attributes"
90 #endif
91 __strong_reference(sinl, _sinl);
92 #endif
93 
94