xref: /titanic_51/usr/src/lib/libbc/libc/gen/common/fmod.c (revision 5d54f3d8999eac1762fe0a8c7177d20f1f201fae)
17c478bd9Sstevel@tonic-gate /*
27c478bd9Sstevel@tonic-gate  * CDDL HEADER START
37c478bd9Sstevel@tonic-gate  *
47c478bd9Sstevel@tonic-gate  * The contents of this file are subject to the terms of the
57c478bd9Sstevel@tonic-gate  * Common Development and Distribution License, Version 1.0 only
67c478bd9Sstevel@tonic-gate  * (the "License").  You may not use this file except in compliance
77c478bd9Sstevel@tonic-gate  * with the License.
87c478bd9Sstevel@tonic-gate  *
97c478bd9Sstevel@tonic-gate  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
107c478bd9Sstevel@tonic-gate  * or http://www.opensolaris.org/os/licensing.
117c478bd9Sstevel@tonic-gate  * See the License for the specific language governing permissions
127c478bd9Sstevel@tonic-gate  * and limitations under the License.
137c478bd9Sstevel@tonic-gate  *
147c478bd9Sstevel@tonic-gate  * When distributing Covered Code, include this CDDL HEADER in each
157c478bd9Sstevel@tonic-gate  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
167c478bd9Sstevel@tonic-gate  * If applicable, add the following below this CDDL HEADER, with the
177c478bd9Sstevel@tonic-gate  * fields enclosed by brackets "[]" replaced with your own identifying
187c478bd9Sstevel@tonic-gate  * information: Portions Copyright [yyyy] [name of copyright owner]
197c478bd9Sstevel@tonic-gate  *
207c478bd9Sstevel@tonic-gate  * CDDL HEADER END
217c478bd9Sstevel@tonic-gate  */
227c478bd9Sstevel@tonic-gate /*
23*5d54f3d8Smuffin  * Copyright 1988 Sun Microsystems, Inc.  All rights reserved.
24*5d54f3d8Smuffin  * Use is subject to license terms.
257c478bd9Sstevel@tonic-gate  */
267c478bd9Sstevel@tonic-gate 
27*5d54f3d8Smuffin #pragma ident	"%Z%%M%	%I%	%E% SMI"
28*5d54f3d8Smuffin 
297c478bd9Sstevel@tonic-gate /* Special version adapted from libm for use in libc. */
307c478bd9Sstevel@tonic-gate 
31*5d54f3d8Smuffin static int	n0 = 0, n1 = 1;
327c478bd9Sstevel@tonic-gate 
337c478bd9Sstevel@tonic-gate static double   two52 = 4.503599627370496000E+15;
347c478bd9Sstevel@tonic-gate static double   twom52 = 2.220446049250313081E-16;
357c478bd9Sstevel@tonic-gate 
367c478bd9Sstevel@tonic-gate static double
37*5d54f3d8Smuffin setexception(int n, double x)
387c478bd9Sstevel@tonic-gate {
39*5d54f3d8Smuffin 	return (0.0);
407c478bd9Sstevel@tonic-gate }
417c478bd9Sstevel@tonic-gate 
427c478bd9Sstevel@tonic-gate double
43*5d54f3d8Smuffin copysign(double x, double y)
447c478bd9Sstevel@tonic-gate {
457c478bd9Sstevel@tonic-gate 	long           *px = (long *) &x;
467c478bd9Sstevel@tonic-gate 	long           *py = (long *) &y;
477c478bd9Sstevel@tonic-gate 	px[n0] = (px[n0] & 0x7fffffff) | (py[n0] & 0x80000000);
48*5d54f3d8Smuffin 	return (x);
497c478bd9Sstevel@tonic-gate }
507c478bd9Sstevel@tonic-gate 
517c478bd9Sstevel@tonic-gate static double
52*5d54f3d8Smuffin fabs(double x)
537c478bd9Sstevel@tonic-gate {
547c478bd9Sstevel@tonic-gate 	long           *px = (long *) &x;
557c478bd9Sstevel@tonic-gate 	px[0] &= 0x7fffffff;
56*5d54f3d8Smuffin 
57*5d54f3d8Smuffin 	return (x);
587c478bd9Sstevel@tonic-gate }
597c478bd9Sstevel@tonic-gate 
607c478bd9Sstevel@tonic-gate static int
61*5d54f3d8Smuffin finite(double x)
627c478bd9Sstevel@tonic-gate {
637c478bd9Sstevel@tonic-gate 	long           *px = (long *) &x;
647c478bd9Sstevel@tonic-gate 	return ((px[n0] & 0x7ff00000) != 0x7ff00000);
657c478bd9Sstevel@tonic-gate }
667c478bd9Sstevel@tonic-gate 
677c478bd9Sstevel@tonic-gate static int
68*5d54f3d8Smuffin ilogb(double x)
697c478bd9Sstevel@tonic-gate {
707c478bd9Sstevel@tonic-gate 	long           *px = (long *) &x, k;
717c478bd9Sstevel@tonic-gate 	k = px[n0] & 0x7ff00000;
727c478bd9Sstevel@tonic-gate 	if (k == 0) {
737c478bd9Sstevel@tonic-gate 		if ((px[n1] | (px[n0] & 0x7fffffff)) == 0)
74*5d54f3d8Smuffin 			return (0x80000001);
757c478bd9Sstevel@tonic-gate 		else {
767c478bd9Sstevel@tonic-gate 			x *= two52;
777c478bd9Sstevel@tonic-gate 			return ((px[n0] & 0x7ff00000) >> 20) - 1075;
787c478bd9Sstevel@tonic-gate 		}
797c478bd9Sstevel@tonic-gate 	} else if (k != 0x7ff00000)
807c478bd9Sstevel@tonic-gate 		return (k >> 20) - 1023;
817c478bd9Sstevel@tonic-gate 	else
82*5d54f3d8Smuffin 		return (0x7fffffff);
837c478bd9Sstevel@tonic-gate }
847c478bd9Sstevel@tonic-gate 
857c478bd9Sstevel@tonic-gate static double
86*5d54f3d8Smuffin scalbn(double x, int n)
877c478bd9Sstevel@tonic-gate {
887c478bd9Sstevel@tonic-gate 	long           *px = (long *) &x, k;
897c478bd9Sstevel@tonic-gate 	double          twom54 = twom52 * 0.25;
907c478bd9Sstevel@tonic-gate 	k = (px[n0] & 0x7ff00000) >> 20;
917c478bd9Sstevel@tonic-gate 	if (k == 0x7ff)
92*5d54f3d8Smuffin 		return (x + x);
937c478bd9Sstevel@tonic-gate 	if ((px[n1] | (px[n0] & 0x7fffffff)) == 0)
94*5d54f3d8Smuffin 		return (x);
957c478bd9Sstevel@tonic-gate 	if (k == 0) {
967c478bd9Sstevel@tonic-gate 		x *= two52;
977c478bd9Sstevel@tonic-gate 		k = ((px[n0] & 0x7ff00000) >> 20) - 52;
987c478bd9Sstevel@tonic-gate 	}
997c478bd9Sstevel@tonic-gate 	k = k + n;
1007c478bd9Sstevel@tonic-gate 	if (n > 5000)
101*5d54f3d8Smuffin 		return (setexception(2, x));
1027c478bd9Sstevel@tonic-gate 	if (n < -5000)
103*5d54f3d8Smuffin 		return (setexception(1, x));
1047c478bd9Sstevel@tonic-gate 	if (k > 0x7fe)
105*5d54f3d8Smuffin 		return (setexception(2, x));
1067c478bd9Sstevel@tonic-gate 	if (k <= -54)
107*5d54f3d8Smuffin 		return (setexception(1, x));
1087c478bd9Sstevel@tonic-gate 	if (k > 0) {
1097c478bd9Sstevel@tonic-gate 		px[n0] = (px[n0] & 0x800fffff) | (k << 20);
110*5d54f3d8Smuffin 		return (x);
1117c478bd9Sstevel@tonic-gate 	}
1127c478bd9Sstevel@tonic-gate 	k += 54;
1137c478bd9Sstevel@tonic-gate 	px[n0] = (px[n0] & 0x800fffff) | (k << 20);
114*5d54f3d8Smuffin 	return (x * twom54);
1157c478bd9Sstevel@tonic-gate }
1167c478bd9Sstevel@tonic-gate 
1177c478bd9Sstevel@tonic-gate double
118*5d54f3d8Smuffin fmod(double x, double y)
1197c478bd9Sstevel@tonic-gate {
1207c478bd9Sstevel@tonic-gate 	int             ny, nr;
1217c478bd9Sstevel@tonic-gate 	double          r, z, w;
122*5d54f3d8Smuffin 
1237c478bd9Sstevel@tonic-gate 	int finite(), ilogb();
1247c478bd9Sstevel@tonic-gate 	double fabs(), scalbn(), copysign();
1257c478bd9Sstevel@tonic-gate 
1267c478bd9Sstevel@tonic-gate 	/* purge off exception values */
1277c478bd9Sstevel@tonic-gate 	if (!finite(x) || y != y || y == 0.0) {
128*5d54f3d8Smuffin 		return ((x * y) / (x * y));
1297c478bd9Sstevel@tonic-gate 	}
1307c478bd9Sstevel@tonic-gate 	/* scale and subtract to get the remainder */
1317c478bd9Sstevel@tonic-gate 	r = fabs(x);
1327c478bd9Sstevel@tonic-gate 	y = fabs(y);
1337c478bd9Sstevel@tonic-gate 	ny = ilogb(y);
1347c478bd9Sstevel@tonic-gate 	while (r >= y) {
1357c478bd9Sstevel@tonic-gate 		nr = ilogb(r);
1367c478bd9Sstevel@tonic-gate 		if (nr == ny)
1377c478bd9Sstevel@tonic-gate 			w = y;
1387c478bd9Sstevel@tonic-gate 		else {
1397c478bd9Sstevel@tonic-gate 			z = scalbn(y, nr - ny - 1);
1407c478bd9Sstevel@tonic-gate 			w = z + z;
1417c478bd9Sstevel@tonic-gate 		}
1427c478bd9Sstevel@tonic-gate 		if (r >= w)
1437c478bd9Sstevel@tonic-gate 			r -= w;
1447c478bd9Sstevel@tonic-gate 		else
1457c478bd9Sstevel@tonic-gate 			r -= z;
1467c478bd9Sstevel@tonic-gate 	}
1477c478bd9Sstevel@tonic-gate 
1487c478bd9Sstevel@tonic-gate 	/* restore sign */
149*5d54f3d8Smuffin 	return (copysign(r, x));
1507c478bd9Sstevel@tonic-gate }
151