xref: /freebsd/lib/msun/src/s_floor.c (revision 2008043f386721d58158e37e0d7e50df8095942d)
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 #include <sys/cdefs.h>
14 /*
15  * floor(x)
16  * Return x rounded toward -inf to integral value
17  * Method:
18  *	Bit twiddling.
19  * Exception:
20  *	Inexact flag raised if x not equal to floor(x).
21  */
22 
23 #include <float.h>
24 
25 #include "math.h"
26 #include "math_private.h"
27 
28 static const double huge = 1.0e300;
29 
30 double
31 floor(double x)
32 {
33 	int32_t i0,i1,j0;
34 	u_int32_t i,j;
35 	EXTRACT_WORDS(i0,i1,x);
36 	j0 = ((i0>>20)&0x7ff)-0x3ff;
37 	if(j0<20) {
38 	    if(j0<0) { 	/* raise inexact if x != 0 */
39 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
40 		    if(i0>=0) {i0=i1=0;}
41 		    else if(((i0&0x7fffffff)|i1)!=0)
42 			{ i0=0xbff00000;i1=0;}
43 		}
44 	    } else {
45 		i = (0x000fffff)>>j0;
46 		if(((i0&i)|i1)==0) return x; /* x is integral */
47 		if(huge+x>0.0) {	/* raise inexact flag */
48 		    if(i0<0) i0 += (0x00100000)>>j0;
49 		    i0 &= (~i); i1=0;
50 		}
51 	    }
52 	} else if (j0>51) {
53 	    if(j0==0x400) return x+x;	/* inf or NaN */
54 	    else return x;		/* x is integral */
55 	} else {
56 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
57 	    if((i1&i)==0) return x;	/* x is integral */
58 	    if(huge+x>0.0) { 		/* raise inexact flag */
59 		if(i0<0) {
60 		    if(j0==20) i0+=1;
61 		    else {
62 			j = i1+(1<<(52-j0));
63 			if(j<i1) i0 +=1 ; 	/* got a carry */
64 			i1=j;
65 		    }
66 		}
67 		i1 &= (~i);
68 	    }
69 	}
70 	INSERT_WORDS(x,i0,i1);
71 	return x;
72 }
73 
74 #if LDBL_MANT_DIG == 53
75 __weak_reference(floor, floorl);
76 #endif
77