xref: /freebsd/lib/msun/src/s_floor.c (revision 7f3dea244c40159a41ab22da77a434d7c5b5e85a)
1 /* @(#)s_floor.c 5.1 93/09/24 */
2 /*
3  * ====================================================
4  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5  *
6  * Developed at SunPro, a Sun Microsystems, Inc. business.
7  * Permission to use, copy, modify, and distribute this
8  * software is freely granted, provided that this notice
9  * is preserved.
10  * ====================================================
11  */
12 
13 #ifndef lint
14 static char rcsid[] = "$FreeBSD$";
15 #endif
16 
17 /*
18  * floor(x)
19  * Return x rounded toward -inf to integral value
20  * Method:
21  *	Bit twiddling.
22  * Exception:
23  *	Inexact flag raised if x not equal to floor(x).
24  */
25 
26 #include "math.h"
27 #include "math_private.h"
28 
29 #ifdef __STDC__
30 static const double huge = 1.0e300;
31 #else
32 static double huge = 1.0e300;
33 #endif
34 
35 #ifdef __STDC__
36 	double __generic_floor(double x)
37 #else
38 	double __generic_floor(x)
39 	double x;
40 #endif
41 {
42 	int32_t i0,i1,j0;
43 	u_int32_t i,j;
44 	EXTRACT_WORDS(i0,i1,x);
45 	j0 = ((i0>>20)&0x7ff)-0x3ff;
46 	if(j0<20) {
47 	    if(j0<0) { 	/* raise inexact if x != 0 */
48 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
49 		    if(i0>=0) {i0=i1=0;}
50 		    else if(((i0&0x7fffffff)|i1)!=0)
51 			{ i0=0xbff00000;i1=0;}
52 		}
53 	    } else {
54 		i = (0x000fffff)>>j0;
55 		if(((i0&i)|i1)==0) return x; /* x is integral */
56 		if(huge+x>0.0) {	/* raise inexact flag */
57 		    if(i0<0) i0 += (0x00100000)>>j0;
58 		    i0 &= (~i); i1=0;
59 		}
60 	    }
61 	} else if (j0>51) {
62 	    if(j0==0x400) return x+x;	/* inf or NaN */
63 	    else return x;		/* x is integral */
64 	} else {
65 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
66 	    if((i1&i)==0) return x;	/* x is integral */
67 	    if(huge+x>0.0) { 		/* raise inexact flag */
68 		if(i0<0) {
69 		    if(j0==20) i0+=1;
70 		    else {
71 			j = i1+(1<<(52-j0));
72 			if(j<i1) i0 +=1 ; 	/* got a carry */
73 			i1=j;
74 		    }
75 		}
76 		i1 &= (~i);
77 	    }
78 	}
79 	INSERT_WORDS(x,i0,i1);
80 	return x;
81 }
82