musl/src/math/ceil.c

/* origin: FreeBSD /usr/src/lib/msun/src/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 "libm.h"

static const double huge = 1.0e300;

double ceil(double x)
{
	int32_t i0,i1,j0;
	uint32_t i,j;

	EXTRACT_WORDS(i0, i1, x);
	// FIXME signed shift
	j0 = ((i0>>20)&0x7ff) - 0x3ff;
	if (j0 < 20) {
		if (j0 < 0) {
			 /* raise inexact if x != 0 */
			if (huge+x > 0.0) {
				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) /* x is integral */
				return x;
			/* raise inexact flag */
			if (huge+x > 0.0) {
				if (i0 > 0)
					i0 += 0x00100000>>j0;
				i0 &= ~i;
				i1 = 0;
			}
		}
	} else if (j0 > 51) {
		if (j0 == 0x400)  /* inf or NaN */
			return x+x;
		return x;         /* x is integral */
	} else {
		i = (uint32_t)0xffffffff>>(j0-20);
		if ((i1&i) == 0)
			return x; /* x is integral */
		/* raise inexact flag */
		if (huge+x > 0.0) {
			if (i0 > 0) {
				if (j0 == 20)
					i0 += 1;
				else {
					j = i1 + (1<<(52-j0));
					if (j < i1)  /* got a carry */
						i0 += 1;
					i1 = j;
				}
			}
			i1 &= ~i;
		}
	}
	INSERT_WORDS(x, i0, i1);
	return x;
}