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: head/lib/msun/src/s_sincosl.c 319047 2017-05-28 06:13:38Z mmel $");
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, sgn;
54 long double y[2];
55
56 z.e = x;
57 sgn = z.bits.sign;
58 z.bits.sign = 0;
59
60 ENTERV();
61
62 /* Optimize the case where x is already within range. */
63 if (z.e < M_PI_4) {
64 /*
65 * If x = +-0 or x is a subnormal number, then sin(x) = x and
66 * cos(x) = 1.
67 */
68 if (z.bits.exp == 0) {
69 *sn = x;
70 *cs = 1;
71 } else
72 __kernel_sincosl(x, 0, 0, sn, cs);
73 RETURNV();
74 }
75
76 /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */
77 if (z.bits.exp == 32767) {
78 *sn = x - x;
79 *cs = x - x;
80 RETURNV();
81 }
82
83 /* Range reduction. */
84 e0 = __ieee754_rem_pio2l(x, y);
85
86 switch (e0 & 3) {
87 case 0:
88 __kernel_sincosl(y[0], y[1], 1, sn, cs);
89 break;
90 case 1:
91 __kernel_sincosl(y[0], y[1], 1, cs, sn);
92 *cs = -*cs;
93 break;
94 case 2:
95 __kernel_sincosl(y[0], y[1], 1, sn, cs);
96 *sn = -*sn;
97 *cs = -*cs;
98 break;
99 default:
100 __kernel_sincosl(y[0], y[1], 1, cs, sn);
101 *sn = -*sn;
102 }
103
104 RETURNV();
105 }
106