xref: /freebsd/lib/msun/src/s_ceil.c (revision 1edb7116f450c1a1793f2fd25f6bdc16735ef888)
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  * ceil(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 ceil(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 ceil(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=0x80000000;i1=0;}
39 		    else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
40 		}
41 	    } else {
42 		i = (0x000fffff)>>j0;
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)>>j0;
46 		    i0 &= (~i); i1=0;
47 		}
48 	    }
49 	} else if (j0>51) {
50 	    if(j0==0x400) return x+x;	/* inf or NaN */
51 	    else return x;		/* x is integral */
52 	} else {
53 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
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(j0==20) i0+=1;
58 		    else {
59 			j = i1 + (1<<(52-j0));
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 
71 #if LDBL_MANT_DIG == 53
72 __weak_reference(ceil, ceill);
73 #endif
74