uclibc-ng/libm/s_ceil.c

/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice
 * is preserved.
 * ====================================================
 */

/*
 * ceil(x)
 * Return x rounded toward -inf to integral value
 * Method:
 *	Bit twiddling.
 * Exception:
 *	Inexact flag raised if x not equal to ceil(x).
 */

#include <features.h>
/* Prevent math.h from defining a colliding inline */
#undef __USE_EXTERN_INLINES
#include "math.h"
#include "math_private.h"

static const double huge = 1.0e300;

double ceil(double x)
{
	int32_t i0,i1,_j0;
	u_int32_t i,j;
	EXTRACT_WORDS(i0,i1,x);
	_j0 = ((i0>>20)&0x7ff)-0x3ff;
	if(_j0<20) {
	    if(_j0<0) { 	/* raise inexact if x != 0 */
		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
		    if(i0<0) {i0=0x80000000;i1=0;}
		    else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
		}
	    } else {
		i = (0x000fffff)>>_j0;
		if(((i0&i)|i1)==0) return x; /* x is integral */
		if(huge+x>0.0) {	/* raise inexact flag */
		    if(i0>0) i0 += (0x00100000)>>_j0;
		    i0 &= (~i); i1=0;
		}
	    }
	} else if (_j0>51) {
	    if(_j0==0x400) return x+x;	/* inf or NaN */
	    else return x;		/* x is integral */
	} else {
	    i = ((u_int32_t)(0xffffffff))>>(_j0-20);
	    if((i1&i)==0) return x;	/* x is integral */
	    if(huge+x>0.0) { 		/* raise inexact flag */
		if(i0>0) {
		    if(_j0==20) i0+=1;
		    else {
			j = i1 + (1<<(52-_j0));
			if(j<i1) i0+=1;	/* got a carry */
			i1 = j;
		    }
		}
		i1 &= (~i);
	    }
	}
	INSERT_WORDS(x,i0,i1);
	return x;
}
libm_hidden_def(ceil)