1/*-
2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4 *
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 */
11
12/* s_sincosf.c -- float version of s_sincos.c.
13 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
14 * Optimized by Bruce D. Evans.
15 * Merged s_sinf.c and s_cosf.c by Steven G. Kargl.
16 */
17
18#include <sys/cdefs.h>
19__FBSDID("$FreeBSD$");
20
21#include <float.h>
22
23#include "math.h"
24#define INLINE_REM_PIO2F
25#include "math_private.h"
26#include "e_rem_pio2f.c"
27#include "k_sincosf.h"
28
29/* Small multiples of pi/2 rounded to double precision. */
30static const double
31p1pio2 = 1*M_PI_2,			/* 0x3FF921FB, 0x54442D18 */
32p2pio2 = 2*M_PI_2,			/* 0x400921FB, 0x54442D18 */
33p3pio2 = 3*M_PI_2,			/* 0x4012D97C, 0x7F3321D2 */
34p4pio2 = 4*M_PI_2;			/* 0x401921FB, 0x54442D18 */
35
36void
37sincosf(float x, float *sn, float *cs)
38{
39	float c, s;
40	double y;
41	int32_t n, hx, ix;
42
43	GET_FLOAT_WORD(hx, x);
44	ix = hx & 0x7fffffff;
45
46	if (ix <= 0x3f490fda) {		/* |x| ~<= pi/4 */
47		if (ix < 0x39800000) {	/* |x| < 2**-12 */
48			if ((int)x == 0) {
49				*sn = x;	/* x with inexact if x != 0 */
50				*cs = 1;
51				return;
52			}
53		}
54		__kernel_sincosdf(x, sn, cs);
55		return;
56	}
57
58	if (ix <= 0x407b53d1) {		/* |x| ~<= 5*pi/4 */
59		if (ix <= 0x4016cbe3) {	/* |x| ~<= 3pi/4 */
60			if (hx > 0) {
61				__kernel_sincosdf(x - p1pio2, cs, sn);
62				*cs = -*cs;
63			} else {
64				__kernel_sincosdf(x + p1pio2, cs, sn);
65				*sn = -*sn;
66			}
67		} else {
68			if (hx > 0)
69				__kernel_sincosdf(x - p2pio2, sn, cs);
70			else
71				__kernel_sincosdf(x + p2pio2, sn, cs);
72			*sn = -*sn;
73			*cs = -*cs;
74		}
75		return;
76	}
77
78	if (ix <= 0x40e231d5) {		/* |x| ~<= 9*pi/4 */
79		if (ix <= 0x40afeddf) {	/* |x| ~<= 7*pi/4 */
80			if (hx > 0) {
81				__kernel_sincosdf(x - p3pio2, cs, sn);
82				*sn = -*sn;
83			} else {
84				__kernel_sincosdf(x + p3pio2, cs, sn);
85				*cs = -*cs;
86			}
87		} else {
88			if (hx > 0)
89				__kernel_sincosdf(x - p4pio2, sn, cs);
90			else
91				__kernel_sincosdf(x + p4pio2, sn, cs);
92		}
93		return;
94	}
95
96	/* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */
97	if (ix >= 0x7f800000) {
98		*sn = x - x;
99		*cs = x - x;
100		return;
101	}
102
103	/* Argument reduction. */
104	n = __ieee754_rem_pio2f(x, &y);
105	__kernel_sincosdf(y, &s, &c);
106
107	switch(n & 3) {
108	case 0:
109		*sn = s;
110		*cs = c;
111		break;
112	case 1:
113		*sn = c;
114		*cs = -s;
115		break;
116	case 2:
117		*sn = -s;
118		*cs = -c;
119		break;
120	default:
121		*sn = -c;
122		*cs = s;
123	}
124}
125
126
127