xref: /illumos-gate/usr/src/lib/libm/common/R/fmodf.c (revision ddc0e0b5)
125c28e83SPiotr Jasiukajtis /*
225c28e83SPiotr Jasiukajtis  * CDDL HEADER START
325c28e83SPiotr Jasiukajtis  *
425c28e83SPiotr Jasiukajtis  * The contents of this file are subject to the terms of the
525c28e83SPiotr Jasiukajtis  * Common Development and Distribution License (the "License").
625c28e83SPiotr Jasiukajtis  * You may not use this file except in compliance with the License.
725c28e83SPiotr Jasiukajtis  *
825c28e83SPiotr Jasiukajtis  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
925c28e83SPiotr Jasiukajtis  * or http://www.opensolaris.org/os/licensing.
1025c28e83SPiotr Jasiukajtis  * See the License for the specific language governing permissions
1125c28e83SPiotr Jasiukajtis  * and limitations under the License.
1225c28e83SPiotr Jasiukajtis  *
1325c28e83SPiotr Jasiukajtis  * When distributing Covered Code, include this CDDL HEADER in each
1425c28e83SPiotr Jasiukajtis  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
1525c28e83SPiotr Jasiukajtis  * If applicable, add the following below this CDDL HEADER, with the
1625c28e83SPiotr Jasiukajtis  * fields enclosed by brackets "[]" replaced with your own identifying
1725c28e83SPiotr Jasiukajtis  * information: Portions Copyright [yyyy] [name of copyright owner]
1825c28e83SPiotr Jasiukajtis  *
1925c28e83SPiotr Jasiukajtis  * CDDL HEADER END
2025c28e83SPiotr Jasiukajtis  */
2125c28e83SPiotr Jasiukajtis /*
2225c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2325c28e83SPiotr Jasiukajtis  */
2425c28e83SPiotr Jasiukajtis /*
2525c28e83SPiotr Jasiukajtis  * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
2625c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
2725c28e83SPiotr Jasiukajtis  */
2825c28e83SPiotr Jasiukajtis 
29*ddc0e0b5SRichard Lowe #pragma weak __fmodf = fmodf
3025c28e83SPiotr Jasiukajtis 
3125c28e83SPiotr Jasiukajtis #include "libm.h"
3225c28e83SPiotr Jasiukajtis 
3325c28e83SPiotr Jasiukajtis /* INDENT OFF */
3425c28e83SPiotr Jasiukajtis static const int
3525c28e83SPiotr Jasiukajtis 	is = (int)0x80000000,
3625c28e83SPiotr Jasiukajtis 	im = 0x007fffff,
3725c28e83SPiotr Jasiukajtis 	ii = 0x7f800000,
3825c28e83SPiotr Jasiukajtis 	iu = 0x00800000;
3925c28e83SPiotr Jasiukajtis /* INDENT ON */
4025c28e83SPiotr Jasiukajtis 
4125c28e83SPiotr Jasiukajtis static const float zero	= 0.0;
4225c28e83SPiotr Jasiukajtis 
4325c28e83SPiotr Jasiukajtis float
fmodf(float x,float y)4425c28e83SPiotr Jasiukajtis fmodf(float x, float y) {
4525c28e83SPiotr Jasiukajtis 	float	w;
4625c28e83SPiotr Jasiukajtis 	int	hx, ix, iy, iz, k, ny, nd;
4725c28e83SPiotr Jasiukajtis 
4825c28e83SPiotr Jasiukajtis 	hx = *(int *)&x;
4925c28e83SPiotr Jasiukajtis 	ix = hx & 0x7fffffff;
5025c28e83SPiotr Jasiukajtis 	iy = *(int *)&y & 0x7fffffff;
5125c28e83SPiotr Jasiukajtis 
5225c28e83SPiotr Jasiukajtis 	/* purge off exception values */
5325c28e83SPiotr Jasiukajtis 	if (ix >= ii || iy > ii || iy == 0) {
5425c28e83SPiotr Jasiukajtis 		w = x * y;
5525c28e83SPiotr Jasiukajtis 		w = w / w;
5625c28e83SPiotr Jasiukajtis 	} else if (ix <= iy) {
5725c28e83SPiotr Jasiukajtis 		if (ix < iy)
5825c28e83SPiotr Jasiukajtis 			w = x;	/* return x if |x|<|y| */
5925c28e83SPiotr Jasiukajtis 		else
6025c28e83SPiotr Jasiukajtis 			w = zero * x;	/* return sign(x)*0.0 */
6125c28e83SPiotr Jasiukajtis 	} else {
6225c28e83SPiotr Jasiukajtis 		/* INDENT OFF */
6325c28e83SPiotr Jasiukajtis 		/*
6425c28e83SPiotr Jasiukajtis 		 * scale x,y to "normal" with
6525c28e83SPiotr Jasiukajtis 		 *	ny = exponent of y
6625c28e83SPiotr Jasiukajtis 		 *	nd = exponent of x minus exponent of y
6725c28e83SPiotr Jasiukajtis 		 */
6825c28e83SPiotr Jasiukajtis 		/* INDENT ON */
6925c28e83SPiotr Jasiukajtis 		ny = iy >> 23;
7025c28e83SPiotr Jasiukajtis 		k = ix >> 23;
7125c28e83SPiotr Jasiukajtis 
7225c28e83SPiotr Jasiukajtis 		/* special case for subnormal y or x */
7325c28e83SPiotr Jasiukajtis 		if (ny == 0) {
7425c28e83SPiotr Jasiukajtis 			ny = 1;
7525c28e83SPiotr Jasiukajtis 			while (iy < iu) {
7625c28e83SPiotr Jasiukajtis 				ny -= 1;
7725c28e83SPiotr Jasiukajtis 				iy += iy;
7825c28e83SPiotr Jasiukajtis 			}
7925c28e83SPiotr Jasiukajtis 			nd = k - ny;
8025c28e83SPiotr Jasiukajtis 			if (k == 0) {
8125c28e83SPiotr Jasiukajtis 				nd += 1;
8225c28e83SPiotr Jasiukajtis 				while (ix < iu) {
8325c28e83SPiotr Jasiukajtis 					nd -= 1;
8425c28e83SPiotr Jasiukajtis 					ix += ix;
8525c28e83SPiotr Jasiukajtis 				}
8625c28e83SPiotr Jasiukajtis 			} else {
8725c28e83SPiotr Jasiukajtis 				ix = iu | (ix & im);
8825c28e83SPiotr Jasiukajtis 			}
8925c28e83SPiotr Jasiukajtis 		} else {
9025c28e83SPiotr Jasiukajtis 			nd = k - ny;
9125c28e83SPiotr Jasiukajtis 			ix = iu | (ix & im);
9225c28e83SPiotr Jasiukajtis 			iy = iu | (iy & im);
9325c28e83SPiotr Jasiukajtis 		}
9425c28e83SPiotr Jasiukajtis 
9525c28e83SPiotr Jasiukajtis 		/* fix point fmod for normalized ix and iy */
9625c28e83SPiotr Jasiukajtis 		/* INDENT OFF */
9725c28e83SPiotr Jasiukajtis 		/*
9825c28e83SPiotr Jasiukajtis 		 * while (nd--) {
9925c28e83SPiotr Jasiukajtis 		 * 	iz = ix - iy;
10025c28e83SPiotr Jasiukajtis 		 * if (iz < 0)
10125c28e83SPiotr Jasiukajtis 		 *	ix = ix + ix;
10225c28e83SPiotr Jasiukajtis 		 * else if (iz == 0) {
10325c28e83SPiotr Jasiukajtis 		 *	*(int *) &w = is & hx;
10425c28e83SPiotr Jasiukajtis 		 *	return w;
10525c28e83SPiotr Jasiukajtis 		 * }
10625c28e83SPiotr Jasiukajtis 		 * else
10725c28e83SPiotr Jasiukajtis 		 *	ix = iz + iz;
10825c28e83SPiotr Jasiukajtis 		 * }
10925c28e83SPiotr Jasiukajtis 		 */
11025c28e83SPiotr Jasiukajtis 		/* INDENT ON */
11125c28e83SPiotr Jasiukajtis 		/* unroll the above loop 4 times to gain performance */
11225c28e83SPiotr Jasiukajtis 		k = nd >> 2;
11325c28e83SPiotr Jasiukajtis 		nd -= k << 2;
11425c28e83SPiotr Jasiukajtis 		while (k--) {
11525c28e83SPiotr Jasiukajtis 			iz = ix - iy;
11625c28e83SPiotr Jasiukajtis 			if (iz >= 0)
11725c28e83SPiotr Jasiukajtis 				ix = iz + iz;
11825c28e83SPiotr Jasiukajtis 			else
11925c28e83SPiotr Jasiukajtis 				ix += ix;
12025c28e83SPiotr Jasiukajtis 			iz = ix - iy;
12125c28e83SPiotr Jasiukajtis 			if (iz >= 0)
12225c28e83SPiotr Jasiukajtis 				ix = iz + iz;
12325c28e83SPiotr Jasiukajtis 			else
12425c28e83SPiotr Jasiukajtis 				ix += ix;
12525c28e83SPiotr Jasiukajtis 			iz = ix - iy;
12625c28e83SPiotr Jasiukajtis 			if (iz >= 0)
12725c28e83SPiotr Jasiukajtis 				ix = iz + iz;
12825c28e83SPiotr Jasiukajtis 			else
12925c28e83SPiotr Jasiukajtis 				ix += ix;
13025c28e83SPiotr Jasiukajtis 			iz = ix - iy;
13125c28e83SPiotr Jasiukajtis 			if (iz >= 0)
13225c28e83SPiotr Jasiukajtis 				ix = iz + iz;
13325c28e83SPiotr Jasiukajtis 			else
13425c28e83SPiotr Jasiukajtis 				ix += ix;
13525c28e83SPiotr Jasiukajtis 			if (iz == 0) {
13625c28e83SPiotr Jasiukajtis 				*(int *)&w = is & hx;
13725c28e83SPiotr Jasiukajtis 				return (w);
13825c28e83SPiotr Jasiukajtis 			}
13925c28e83SPiotr Jasiukajtis 		}
14025c28e83SPiotr Jasiukajtis 		while (nd--) {
14125c28e83SPiotr Jasiukajtis 			iz = ix - iy;
14225c28e83SPiotr Jasiukajtis 			if (iz >= 0)
14325c28e83SPiotr Jasiukajtis 				ix = iz + iz;
14425c28e83SPiotr Jasiukajtis 			else
14525c28e83SPiotr Jasiukajtis 				ix += ix;
14625c28e83SPiotr Jasiukajtis 		}
14725c28e83SPiotr Jasiukajtis 		/* end of unrolling */
14825c28e83SPiotr Jasiukajtis 
14925c28e83SPiotr Jasiukajtis 		iz = ix - iy;
15025c28e83SPiotr Jasiukajtis 		if (iz >= 0)
15125c28e83SPiotr Jasiukajtis 			ix = iz;
15225c28e83SPiotr Jasiukajtis 
15325c28e83SPiotr Jasiukajtis 		/* convert back to floating value and restore the sign */
15425c28e83SPiotr Jasiukajtis 		if (ix == 0) {
15525c28e83SPiotr Jasiukajtis 			*(int *)&w = is & hx;
15625c28e83SPiotr Jasiukajtis 			return (w);
15725c28e83SPiotr Jasiukajtis 		}
15825c28e83SPiotr Jasiukajtis 		while (ix < iu) {
15925c28e83SPiotr Jasiukajtis 			ix += ix;
16025c28e83SPiotr Jasiukajtis 			ny -= 1;
16125c28e83SPiotr Jasiukajtis 		}
16225c28e83SPiotr Jasiukajtis 		while (ix > (iu + iu)) {
16325c28e83SPiotr Jasiukajtis 			ny += 1;
16425c28e83SPiotr Jasiukajtis 			ix >>= 1;
16525c28e83SPiotr Jasiukajtis 		}
16625c28e83SPiotr Jasiukajtis 		if (ny > 0) {
16725c28e83SPiotr Jasiukajtis 			*(int *)&w = (is & hx) | (ix & im) | (ny << 23);
16825c28e83SPiotr Jasiukajtis 		} else {
16925c28e83SPiotr Jasiukajtis 			/* subnormal output */
17025c28e83SPiotr Jasiukajtis 			k = -ny + 1;
17125c28e83SPiotr Jasiukajtis 			ix >>= k;
17225c28e83SPiotr Jasiukajtis 			*(int *)&w = (is & hx) | ix;
17325c28e83SPiotr Jasiukajtis 		}
17425c28e83SPiotr Jasiukajtis 	}
17525c28e83SPiotr Jasiukajtis 	return (w);
17625c28e83SPiotr Jasiukajtis }
177