xref: /openbsd-src/lib/libm/src/s_ceil.c (revision 5054e3e78af0749a9bb00ba9a024b3ee2d90290f)
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 /*
14  * ceil(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 ceil(x).
20  */
21 
22 #include "math.h"
23 #include "math_private.h"
24 
25 static const double huge = 1.0e300;
26 
27 double
28 ceil(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=0x80000000;i1=0;}
38 		    else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
39 		}
40 	    } else {
41 		i = (0x000fffff)>>jj0;
42 		if(((i0&i)|i1)==0) return x; /* x is integral */
43 		if(huge+x>0.0) {	/* raise inexact flag */
44 		    if(i0>0) i0 += (0x00100000)>>jj0;
45 		    i0 &= (~i); i1=0;
46 		}
47 	    }
48 	} else if (jj0>51) {
49 	    if(jj0==0x400) return x+x;	/* inf or NaN */
50 	    else return x;		/* x is integral */
51 	} else {
52 	    i = ((u_int32_t)(0xffffffff))>>(jj0-20);
53 	    if((i1&i)==0) return x;	/* x is integral */
54 	    if(huge+x>0.0) { 		/* raise inexact flag */
55 		if(i0>0) {
56 		    if(jj0==20) i0+=1;
57 		    else {
58 			j = i1 + (1<<(52-jj0));
59 			if(j<i1) i0+=1;	/* got a carry */
60 			i1 = j;
61 		    }
62 		}
63 		i1 &= (~i);
64 	    }
65 	}
66 	INSERT_WORDS(x,i0,i1);
67 	return x;
68 }
69