1 /*-
2 * Copyright (c) 2007, 2010-2013 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 * s_sinl.c and s_cosl.c merged by Steven G. Kargl.
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 #include "k_sincosl.h"
40
41 #if LDBL_MANT_DIG == 64
42 #include "../ld80/e_rem_pio2l.h"
43 #elif LDBL_MANT_DIG == 113
44 #include "../ld128/e_rem_pio2l.h"
45 #else
46 #error "Unsupported long double format"
47 #endif
48
49 void
sincosl(long double x,long double * sn,long double * cs)50 sincosl(long double x, long double *sn, long double *cs)
51 {
52 union IEEEl2bits z;
53 int e0;
54 long double y[2];
55
56 z.e = x;
57 z.bits.sign = 0;
58
59 ENTERV();
60
61 /* Optimize the case where x is already within range. */
62 if (z.e < M_PI_4) {
63 /*
64 * If x = +-0 or x is a subnormal number, then sin(x) = x and
65 * cos(x) = 1.
66 */
67 if (z.bits.exp == 0) {
68 *sn = x;
69 *cs = 1;
70 } else
71 __kernel_sincosl(x, 0, 0, sn, cs);
72 RETURNV();
73 }
74
75 /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */
76 if (z.bits.exp == 32767) {
77 *sn = x - x;
78 *cs = x - x;
79 RETURNV();
80 }
81
82 /* Range reduction. */
83 e0 = __ieee754_rem_pio2l(x, y);
84
85 switch (e0 & 3) {
86 case 0:
87 __kernel_sincosl(y[0], y[1], 1, sn, cs);
88 break;
89 case 1:
90 __kernel_sincosl(y[0], y[1], 1, cs, sn);
91 *cs = -*cs;
92 break;
93 case 2:
94 __kernel_sincosl(y[0], y[1], 1, sn, cs);
95 *sn = -*sn;
96 *cs = -*cs;
97 break;
98 default:
99 __kernel_sincosl(y[0], y[1], 1, cs, sn);
100 *sn = -*sn;
101 }
102
103 RETURNV();
104 }
105