xref: /inferno-os/libmath/fdlibm/s_ceil.c (revision 37da2899f40661e3e9631e497da8dc59b971cbd0)
1*37da2899SCharles.Forsyth /* derived from /netlib/fdlibm */
2*37da2899SCharles.Forsyth 
3*37da2899SCharles.Forsyth /* @(#)s_ceil.c 1.3 95/01/18 */
4*37da2899SCharles.Forsyth /*
5*37da2899SCharles.Forsyth  * ====================================================
6*37da2899SCharles.Forsyth  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
7*37da2899SCharles.Forsyth  *
8*37da2899SCharles.Forsyth  * Developed at SunSoft, a Sun Microsystems, Inc. business.
9*37da2899SCharles.Forsyth  * Permission to use, copy, modify, and distribute this
10*37da2899SCharles.Forsyth  * software is freely granted, provided that this notice
11*37da2899SCharles.Forsyth  * is preserved.
12*37da2899SCharles.Forsyth  * ====================================================
13*37da2899SCharles.Forsyth  */
14*37da2899SCharles.Forsyth 
15*37da2899SCharles.Forsyth /*
16*37da2899SCharles.Forsyth  * ceil(x)
17*37da2899SCharles.Forsyth  * Return x rounded toward -inf to integral value
18*37da2899SCharles.Forsyth  * Method:
19*37da2899SCharles.Forsyth  *	Bit twiddling.
20*37da2899SCharles.Forsyth  * Exception:
21*37da2899SCharles.Forsyth  *	Inexact flag raised if x not equal to ceil(x).
22*37da2899SCharles.Forsyth  */
23*37da2899SCharles.Forsyth 
24*37da2899SCharles.Forsyth #include "fdlibm.h"
25*37da2899SCharles.Forsyth 
26*37da2899SCharles.Forsyth static const double Huge = 1.0e300;
27*37da2899SCharles.Forsyth 
ceil(double x)28*37da2899SCharles.Forsyth 	double ceil(double x)
29*37da2899SCharles.Forsyth {
30*37da2899SCharles.Forsyth 	int i0,i1,j0;
31*37da2899SCharles.Forsyth 	unsigned i,j;
32*37da2899SCharles.Forsyth 	i0 =  __HI(x);
33*37da2899SCharles.Forsyth 	i1 =  __LO(x);
34*37da2899SCharles.Forsyth 	j0 = ((i0>>20)&0x7ff)-0x3ff;
35*37da2899SCharles.Forsyth 	if(j0<20) {
36*37da2899SCharles.Forsyth 	    if(j0<0) { 	/* raise inexact if x != 0 */
37*37da2899SCharles.Forsyth 		if(Huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
38*37da2899SCharles.Forsyth 		    if(i0<0) {i0=0x80000000;i1=0;}
39*37da2899SCharles.Forsyth 		    else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
40*37da2899SCharles.Forsyth 		}
41*37da2899SCharles.Forsyth 	    } else {
42*37da2899SCharles.Forsyth 		i = (0x000fffff)>>j0;
43*37da2899SCharles.Forsyth 		if(((i0&i)|i1)==0) return x; /* x is integral */
44*37da2899SCharles.Forsyth 		if(Huge+x>0.0) {	/* raise inexact flag */
45*37da2899SCharles.Forsyth 		    if(i0>0) i0 += (0x00100000)>>j0;
46*37da2899SCharles.Forsyth 		    i0 &= (~i); i1=0;
47*37da2899SCharles.Forsyth 		}
48*37da2899SCharles.Forsyth 	    }
49*37da2899SCharles.Forsyth 	} else if (j0>51) {
50*37da2899SCharles.Forsyth 	    if(j0==0x400) return x+x;	/* inf or NaN */
51*37da2899SCharles.Forsyth 	    else return x;		/* x is integral */
52*37da2899SCharles.Forsyth 	} else {
53*37da2899SCharles.Forsyth 	    i = ((unsigned)(0xffffffff))>>(j0-20);
54*37da2899SCharles.Forsyth 	    if((i1&i)==0) return x;	/* x is integral */
55*37da2899SCharles.Forsyth 	    if(Huge+x>0.0) { 		/* raise inexact flag */
56*37da2899SCharles.Forsyth 		if(i0>0) {
57*37da2899SCharles.Forsyth 		    if(j0==20) i0+=1;
58*37da2899SCharles.Forsyth 		    else {
59*37da2899SCharles.Forsyth 			j = i1 + (1<<(52-j0));
60*37da2899SCharles.Forsyth 			if(j<i1) i0+=1;	/* got a carry */
61*37da2899SCharles.Forsyth 			i1 = j;
62*37da2899SCharles.Forsyth 		    }
63*37da2899SCharles.Forsyth 		}
64*37da2899SCharles.Forsyth 		i1 &= (~i);
65*37da2899SCharles.Forsyth 	    }
66*37da2899SCharles.Forsyth 	}
67*37da2899SCharles.Forsyth 	__HI(x) = i0;
68*37da2899SCharles.Forsyth 	__LO(x) = i1;
69*37da2899SCharles.Forsyth 	return x;
70*37da2899SCharles.Forsyth }
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