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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 #include <sys/cdefs.h>
14 __FBSDID("$FreeBSD$");
15
16 /*
17  * ceil(x)
18  * Return x rounded toward -inf to integral value
19  * Method:
20  *      Bit twiddling.
21  * Exception:
22  *      Inexact flag raised if x not equal to ceil(x).
23  */
24
25 #include <float.h>
26
27 #include "math.h"
28 #include "math_private.h"
29
30 static const double huge = 1.0e300;
31
32 double
33 ceil(double x)
34 {
35         int32_t i0,i1,j0;
36         u_int32_t i,j;
37         EXTRACT_WORDS(i0,i1,x);
38         j0 = ((i0>>20)&0x7ff)-0x3ff;
39         if(j0<20) {
40             if(j0<0) {  /* raise inexact if x != 0 */
41                 if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
42                     if(i0<0) {i0=0x80000000;i1=0;}
43                     else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
44                 }
45             } else {
46                 i = (0x000fffff)>>j0;
47                 if(((i0&i)|i1)==0) return x; /* x is integral */
48                 if(huge+x>0.0) {        /* raise inexact flag */
49                     if(i0>0) i0 += (0x00100000)>>j0;
50                     i0 &= (~i); i1=0;
51                 }
52             }
53         } else if (j0>51) {
54             if(j0==0x400) return x+x;   /* inf or NaN */
55             else return x;              /* x is integral */
56         } else {
57             i = ((u_int32_t)(0xffffffff))>>(j0-20);
58             if((i1&i)==0) return x;     /* x is integral */
59             if(huge+x>0.0) {            /* raise inexact flag */
60                 if(i0>0) {
61                     if(j0==20) i0+=1;
62                     else {
63                         j = i1 + (1<<(52-j0));
64                         if(j<i1) i0+=1; /* got a carry */
65                         i1 = j;
66                     }
67                 }
68                 i1 &= (~i);
69             }
70         }
71         INSERT_WORDS(x,i0,i1);
72         return x;
73 }
74
75 #if LDBL_MANT_DIG == 53
76 __weak_reference(ceil, ceill);
77 #endif