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 <float.h>
19
20 #include "math.h"
21 #define INLINE_REM_PIO2F
22 #include "math_private.h"
23 #include "e_rem_pio2f.c"
24 #include "k_sincosf.h"
25
26 /* Small multiples of pi/2 rounded to double precision. */
27 static const double
28 p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
29 p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
30 p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
31 p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
32
33 void
sincosf(float x,float * sn,float * cs)34 sincosf(float x, float *sn, float *cs)
35 {
36 float c, s;
37 double y;
38 int32_t n, hx, ix;
39
40 GET_FLOAT_WORD(hx, x);
41 ix = hx & 0x7fffffff;
42
43 if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
44 if (ix < 0x39800000) { /* |x| < 2**-12 */
45 if ((int)x == 0) {
46 *sn = x; /* x with inexact if x != 0 */
47 *cs = 1;
48 return;
49 }
50 }
51 __kernel_sincosdf(x, sn, cs);
52 return;
53 }
54
55 if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */
56 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */
57 if (hx > 0) {
58 __kernel_sincosdf(x - p1pio2, cs, sn);
59 *cs = -*cs;
60 } else {
61 __kernel_sincosdf(x + p1pio2, cs, sn);
62 *sn = -*sn;
63 }
64 } else {
65 if (hx > 0)
66 __kernel_sincosdf(x - p2pio2, sn, cs);
67 else
68 __kernel_sincosdf(x + p2pio2, sn, cs);
69 *sn = -*sn;
70 *cs = -*cs;
71 }
72 return;
73 }
74
75 if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */
76 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */
77 if (hx > 0) {
78 __kernel_sincosdf(x - p3pio2, cs, sn);
79 *sn = -*sn;
80 } else {
81 __kernel_sincosdf(x + p3pio2, cs, sn);
82 *cs = -*cs;
83 }
84 } else {
85 if (hx > 0)
86 __kernel_sincosdf(x - p4pio2, sn, cs);
87 else
88 __kernel_sincosdf(x + p4pio2, sn, cs);
89 }
90 return;
91 }
92
93 /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */
94 if (ix >= 0x7f800000) {
95 *sn = x - x;
96 *cs = x - x;
97 return;
98 }
99
100 /* Argument reduction. */
101 n = __ieee754_rem_pio2f(x, &y);
102 __kernel_sincosdf(y, &s, &c);
103
104 switch(n & 3) {
105 case 0:
106 *sn = s;
107 *cs = c;
108 break;
109 case 1:
110 *sn = c;
111 *cs = -s;
112 break;
113 case 2:
114 *sn = -s;
115 *cs = -c;
116 break;
117 default:
118 *sn = -c;
119 *cs = s;
120 }
121 }
122
123
124