xref: /openbsd-src/lib/libm/src/s_floor.c (revision 5054e3e78af0749a9bb00ba9a024b3ee2d90290f)
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 /*
14  * floor(x)
15  * Return x rounded toward -inf to integral value
16  * Method:
17  *	Bit twiddling.
18  * Exception:
19  *	Inexact flag raised if x not equal to floor(x).
20  */
21 
22 #include "math.h"
23 #include "math_private.h"
24 
25 static const double huge = 1.0e300;
26 
27 double
28 floor(double x)
29 {
30 	int32_t i0,i1,jj0;
31 	u_int32_t i,j;
32 	EXTRACT_WORDS(i0,i1,x);
33 	jj0 = ((i0>>20)&0x7ff)-0x3ff;
34 	if(jj0<20) {
35 	    if(jj0<0) { 	/* raise inexact if x != 0 */
36 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
37 		    if(i0>=0) {i0=i1=0;}
38 		    else if(((i0&0x7fffffff)|i1)!=0)
39 			{ i0=0xbff00000;i1=0;}
40 		}
41 	    } else {
42 		i = (0x000fffff)>>jj0;
43 		if(((i0&i)|i1)==0) return x; /* x is integral */
44 		if(huge+x>0.0) {	/* raise inexact flag */
45 		    if(i0<0) i0 += (0x00100000)>>jj0;
46 		    i0 &= (~i); i1=0;
47 		}
48 	    }
49 	} else if (jj0>51) {
50 	    if(jj0==0x400) return x+x;	/* inf or NaN */
51 	    else return x;		/* x is integral */
52 	} else {
53 	    i = ((u_int32_t)(0xffffffff))>>(jj0-20);
54 	    if((i1&i)==0) return x;	/* x is integral */
55 	    if(huge+x>0.0) { 		/* raise inexact flag */
56 		if(i0<0) {
57 		    if(jj0==20) i0+=1;
58 		    else {
59 			j = i1+(1<<(52-jj0));
60 			if(j<i1) i0 +=1 ; 	/* got a carry */
61 			i1=j;
62 		    }
63 		}
64 		i1 &= (~i);
65 	    }
66 	}
67 	INSERT_WORDS(x,i0,i1);
68 	return x;
69 }
70