xref: /freebsd/lib/msun/src/s_ceil.c (revision f5463265955b829775bbb32e1fd0bc11dafc36ce)
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 #include <sys/cdefs.h>
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 <float.h>
23 
24 #include "math.h"
25 #include "math_private.h"
26 
27 static const double huge = 1.0e300;
28 
29 double
30 ceil(double x)
31 {
32 	int32_t i0,i1,j0;
33 	u_int32_t i,j;
34 	EXTRACT_WORDS(i0,i1,x);
35 	j0 = ((i0>>20)&0x7ff)-0x3ff;
36 	if(j0<20) {
37 	    if(j0<0) { 	/* raise inexact if x != 0 */
38 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
39 		    if(i0<0) {i0=0x80000000;i1=0;}
40 		    else if((i0|i1)!=0) { i0=0x3ff00000;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(ceil, ceill);
74 #endif
75