common/C/remainder.c

	remainder.c revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af
/*
 * CDDL HEADER START
 *
 * The contents of this file are subject to the terms of the
 * Common Development and Distribution License (the "License").
 * You may not use this file except in compliance with the License.
 *
 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
 * or http://www.opensolaris.org/os/licensing.
 * See the License for the specific language governing permissions
 * and limitations under the License.
 *
 * When distributing Covered Code, include this CDDL HEADER in each
 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
 * If applicable, add the following below this CDDL HEADER, with the
 * fields enclosed by brackets "[]" replaced with your own identifying
 * information: Portions Copyright [yyyy] [name of copyright owner]
 *
 * CDDL HEADER END
 */
/*
 * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
 */
/*
 * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
 * Use is subject to license terms.
 */

#pragma weak __remainder = remainder

/*
 * remainder(x,p)
 * Code originated from 4.3bsd.
 * Modified by K.C. Ng for SUN 4.0 libm.
 * Return :
 *  returns  x REM p  =  x - [x/p]*p as if in infinite precise arithmetic,
 *  where [x/p] is the (inifinite bit) integer nearest x/p (in half way
 *  case choose the even one).
 * Method :
 *  Based on fmod() return x-[x/p]chopped*p exactly.
 */

#include "libm.h"

static const double zero = 0.0, half = 0.5;

double
remainder(double x, double p) {
    double  halfp;
    int ix, hx, hp;

    ix = ((int *)&x)[HIWORD];
    hx = ix & ~0x80000000;
    hp = ((int *)&p)[HIWORD] & ~0x80000000;

    if (hp > 0x7ff00000 || (hp == 0x7ff00000 && ((int *)&p)[LOWORD] != 0))
        return (x * p);
    if (hx > 0x7ff00000 || (hx == 0x7ff00000 && ((int *)&x)[LOWORD] != 0))
        return (x * p);

    if ((hp | ((int *)&p)[LOWORD]) == 0 || hx == 0x7ff00000)
        return (_SVID_libm_err(x, p, 28));

    p = fabs(p);
    if (hp < 0x7fe00000)
        x = fmod(x, p + p);
    x = fabs(x);
    if (hp < 0x00200000) {
        if (x + x > p) {
            if (x == p) /* avoid x-x=-0 in RM mode */
                return ((ix < 0)? -zero : zero);
            x -= p;
            if (x + x >= p)
                x -= p;
        }
    } else {
        halfp = half * p;
        if (x > halfp) {
            if (x == p) /* avoid x-x=-0 in RM mode */
                return ((ix < 0)? -zero : zero);
            x -= p;
            if (x >= halfp)
                x -= p;
        }
    }
    return ((ix < 0)? -x : x);
}