xref: /freebsd/lib/msun/src/s_ceil.c (revision 3819e84017471706d911eec3f1b3b6f9eefc139a)
1 /* @(#)s_ceil.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  * ceil(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 ceil(x).
24  */
25 
26 #include "math.h"
27 #include "math_private.h"
28 
29 static const double huge = 1.0e300;
30 
31 double
32 ceil(double x)
33 {
34 	int32_t i0,i1,j0;
35 	u_int32_t i,j;
36 	EXTRACT_WORDS(i0,i1,x);
37 	j0 = ((i0>>20)&0x7ff)-0x3ff;
38 	if(j0<20) {
39 	    if(j0<0) { 	/* raise inexact if x != 0 */
40 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
41 		    if(i0<0) {i0=0x80000000;i1=0;}
42 		    else if((i0|i1)!=0) { i0=0x3ff00000;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