xref: /freebsd/lib/msun/src/s_sinf.c (revision 22cf89c938886d14f5796fc49f9f020c23ea8eaf)
1 /* s_sinf.c -- float version of s_sin.c.
2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3  * Optimized by Bruce D. Evans.
4  */
5 
6 /*
7  * ====================================================
8  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9  *
10  * Developed at SunPro, a Sun Microsystems, Inc. business.
11  * Permission to use, copy, modify, and distribute this
12  * software is freely granted, provided that this notice
13  * is preserved.
14  * ====================================================
15  */
16 
17 #include <sys/cdefs.h>
18 #include <float.h>
19 
20 #include "math.h"
21 #define	INLINE_KERNEL_COSDF
22 #define	INLINE_KERNEL_SINDF
23 #define INLINE_REM_PIO2F
24 #include "math_private.h"
25 #include "e_rem_pio2f.c"
26 #include "k_cosf.c"
27 #include "k_sinf.c"
28 
29 /* Small multiples of pi/2 rounded to double precision. */
30 static const double
31 s1pio2 = 1*M_PI_2,			/* 0x3FF921FB, 0x54442D18 */
32 s2pio2 = 2*M_PI_2,			/* 0x400921FB, 0x54442D18 */
33 s3pio2 = 3*M_PI_2,			/* 0x4012D97C, 0x7F3321D2 */
34 s4pio2 = 4*M_PI_2;			/* 0x401921FB, 0x54442D18 */
35 
36 float
37 sinf(float x)
38 {
39 	double y;
40 	int32_t n, hx, ix;
41 
42 	GET_FLOAT_WORD(hx,x);
43 	ix = hx & 0x7fffffff;
44 
45 	if(ix <= 0x3f490fda) {		/* |x| ~<= pi/4 */
46 	    if(ix<0x39800000)		/* |x| < 2**-12 */
47 		if(((int)x)==0) return x;	/* x with inexact if x != 0 */
48 	    return __kernel_sindf(x);
49 	}
50 	if(ix<=0x407b53d1) {		/* |x| ~<= 5*pi/4 */
51 	    if(ix<=0x4016cbe3) {	/* |x| ~<= 3pi/4 */
52 		if(hx>0)
53 		    return __kernel_cosdf(x - s1pio2);
54 		else
55 		    return -__kernel_cosdf(x + s1pio2);
56 	    } else
57 		return __kernel_sindf((hx > 0 ? s2pio2 : -s2pio2) - x);
58 	}
59 	if(ix<=0x40e231d5) {		/* |x| ~<= 9*pi/4 */
60 	    if(ix<=0x40afeddf) {	/* |x| ~<= 7*pi/4 */
61 		if(hx>0)
62 		    return -__kernel_cosdf(x - s3pio2);
63 		else
64 		    return __kernel_cosdf(x + s3pio2);
65 	    } else
66 		return __kernel_sindf(x + (hx > 0 ? -s4pio2 : s4pio2));
67 	}
68 
69     /* sin(Inf or NaN) is NaN */
70 	else if (ix>=0x7f800000) return x-x;
71 
72     /* general argument reduction needed */
73 	else {
74 	    n = __ieee754_rem_pio2f(x,&y);
75 	    switch(n&3) {
76 		case 0: return  __kernel_sindf(y);
77 		case 1: return  __kernel_cosdf(y);
78 		case 2: return  __kernel_sindf(-y);
79 		default:
80 			return -__kernel_cosdf(y);
81 	    }
82 	}
83 }
84