s_sincosl.c revision 324006 
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: stable/11/lib/msun/src/s_sincosl.c 324006 2017-09-26 09:01:56Z dim $");
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
49void
50sincosl(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