xref: /freebsd/lib/msun/src/s_floor.c (revision e0c4386e7e71d93b0edc0c8fa156263fc4a8b0b6)
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 /*
13  * floor(x)
14  * Return x rounded toward -inf to integral value
15  * Method:
16  *	Bit twiddling.
17  * Exception:
18  *	Inexact flag raised if x not equal to floor(x).
19  */
20 
21 #include <float.h>
22 
23 #include "math.h"
24 #include "math_private.h"
25 
26 static const double huge = 1.0e300;
27 
28 double
29 floor(double x)
30 {
31 	int32_t i0,i1,j0;
32 	u_int32_t i,j;
33 	EXTRACT_WORDS(i0,i1,x);
34 	j0 = ((i0>>20)&0x7ff)-0x3ff;
35 	if(j0<20) {
36 	    if(j0<0) { 	/* raise inexact if x != 0 */
37 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
38 		    if(i0>=0) {i0=i1=0;}
39 		    else if(((i0&0x7fffffff)|i1)!=0)
40 			{ i0=0xbff00000;i1=0;}
41 		}
42 	    } else {
43 		i = (0x000fffff)>>j0;
44 		if(((i0&i)|i1)==0) return x; /* x is integral */
45 		if(huge+x>0.0) {	/* raise inexact flag */
46 		    if(i0<0) i0 += (0x00100000)>>j0;
47 		    i0 &= (~i); i1=0;
48 		}
49 	    }
50 	} else if (j0>51) {
51 	    if(j0==0x400) return x+x;	/* inf or NaN */
52 	    else return x;		/* x is integral */
53 	} else {
54 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
55 	    if((i1&i)==0) return x;	/* x is integral */
56 	    if(huge+x>0.0) { 		/* raise inexact flag */
57 		if(i0<0) {
58 		    if(j0==20) i0+=1;
59 		    else {
60 			j = i1+(1<<(52-j0));
61 			if(j<i1) i0 +=1 ; 	/* got a carry */
62 			i1=j;
63 		    }
64 		}
65 		i1 &= (~i);
66 	    }
67 	}
68 	INSERT_WORDS(x,i0,i1);
69 	return x;
70 }
71 
72 #if LDBL_MANT_DIG == 53
73 __weak_reference(floor, floorl);
74 #endif
75