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. */
30 static const double
31 p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
32 p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
33 p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
34 p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
35
36 void
sincosf(float x,float * sn,float * cs)37 sincosf(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