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 #if 0
31 __FBSDID("$FreeBSD: head/lib/msun/src/s_sincosl.c 319047 2017-05-28 06:13:38Z mmel $");
32 #endif
33 #if defined(LIBM_SCCS) && !defined(lint)
34 __RCSID("$NetBSD: s_sincosl.c,v 1.4 2024/04/03 18:53:42 christos Exp $");
35 #endif
36 
37 #include "namespace.h"
38 #include <float.h>
39 
40 #include "math.h"
41 #include "math_private.h"
42 
43 #ifdef __weak_alias
__weak_alias(sincosl,_sincosl)44 __weak_alias(sincosl,_sincosl)
45 #endif
46 
47 #ifdef __HAVE_LONG_DOUBLE
48 
49 #include "k_sincosl.h"
50 
51 #if LDBL_MANT_DIG == 64
52 #include "../ld80/e_rem_pio2l.h"
53 #elif LDBL_MANT_DIG == 113
54 #include "../ld128/e_rem_pio2l.h"
55 #else
56 #error "Unsupported long double format"
57 #endif
58 
59 void
60 sincosl(long double x, long double *sn, long double *cs)
61 {
62           union ieee_ext_u z;
63           int e0;
64           long double y[2];
65 
66           z.extu_ld = x;
67           z.extu_sign = 0;
68 
69           ENTERV();
70 
71           /* Optimize the case where x is already within range. */
72           if (z.extu_ld < M_PI_4) {
73                     /*
74                      * If x = +-0 or x is a subnormal number, then sin(x) = x and
75                      * cos(x) = 1.
76                      */
77                     if (z.extu_exp == 0) {
78                               *sn = x;
79                               *cs = 1;
80                     } else
81                               __kernel_sincosl(x, 0, 0, sn, cs);
82                     RETURNV();
83           }
84 
85           /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */
86           if (z.extu_exp == 32767) {
87                     *sn = x - x;
88                     *cs = x - x;
89                     RETURNV();
90           }
91 
92           /* Range reduction. */
93           e0 = __ieee754_rem_pio2l(x, y);
94 
95           switch (e0 & 3) {
96           case 0:
97                     __kernel_sincosl(y[0], y[1], 1, sn, cs);
98                     break;
99           case 1:
100                     __kernel_sincosl(y[0], y[1], 1, cs, sn);
101                     *cs = -*cs;
102                     break;
103           case 2:
104                     __kernel_sincosl(y[0], y[1], 1, sn, cs);
105                     *sn = -*sn;
106                     *cs = -*cs;
107                     break;
108           default:
109                     __kernel_sincosl(y[0], y[1], 1, cs, sn);
110                     *sn = -*sn;
111           }
112 
113           RETURNV();
114 }
115 
116 #else
117 
118 void
119 sincosl(long double x, long double *sn, long double *cs)
120 {
121           double snn, css;
122           sincos(x, &snn, &css);
123           *sn = snn;
124           *cs = css;
125 }
126 
127 #endif
128