xref: /illumos-gate/usr/src/lib/libm/common/R/rintf.c (revision 862246c1)
125c28e83SPiotr Jasiukajtis /*
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325c28e83SPiotr Jasiukajtis  *
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725c28e83SPiotr Jasiukajtis  *
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925c28e83SPiotr Jasiukajtis  * or http://www.opensolaris.org/os/licensing.
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2125c28e83SPiotr Jasiukajtis 
2225c28e83SPiotr Jasiukajtis /*
2325c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2425c28e83SPiotr Jasiukajtis  */
2525c28e83SPiotr Jasiukajtis /*
2625c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
2725c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
2825c28e83SPiotr Jasiukajtis  */
2925c28e83SPiotr Jasiukajtis 
30ddc0e0b5SRichard Lowe #pragma weak __rintf = rintf
3125c28e83SPiotr Jasiukajtis 
3225c28e83SPiotr Jasiukajtis /* INDENT OFF */
3325c28e83SPiotr Jasiukajtis /*
3425c28e83SPiotr Jasiukajtis  * aintf(x)	return x chopped to integral value
3525c28e83SPiotr Jasiukajtis  * anintf(x)	return sign(x)*(|x|+0.5) chopped to integral value
3625c28e83SPiotr Jasiukajtis  * irintf(x)	return rint(x) in integer format
3725c28e83SPiotr Jasiukajtis  * nintf(x)	return anint(x) in integer format
3825c28e83SPiotr Jasiukajtis  * rintf(x)	return x rounded to integral according to the rounding direction
3925c28e83SPiotr Jasiukajtis  *
4025c28e83SPiotr Jasiukajtis  * NOTE: rintf(x), aintf(x) and anintf(x) return results with the same sign as
4125c28e83SPiotr Jasiukajtis  * x's,  including 0.0.
4225c28e83SPiotr Jasiukajtis  */
4325c28e83SPiotr Jasiukajtis 
4425c28e83SPiotr Jasiukajtis #include "libm.h"
4525c28e83SPiotr Jasiukajtis 
4625c28e83SPiotr Jasiukajtis static const float xf[] = {
4725c28e83SPiotr Jasiukajtis /* ZEROF */	0.0f,
4825c28e83SPiotr Jasiukajtis /* TWO_23F */	8.3886080000e6f,
4925c28e83SPiotr Jasiukajtis /* MTWO_23F */	-8.3886080000e6f,
5025c28e83SPiotr Jasiukajtis /* ONEF */	1.0f,
5125c28e83SPiotr Jasiukajtis /* MONEF */	-1.0f,
5225c28e83SPiotr Jasiukajtis /* HALFF */	0.5f,
5325c28e83SPiotr Jasiukajtis /* MHALFF */	-0.5f,
5425c28e83SPiotr Jasiukajtis /* HUGEF */	1.0e30f,
5525c28e83SPiotr Jasiukajtis };
5625c28e83SPiotr Jasiukajtis 
5725c28e83SPiotr Jasiukajtis #define	ZEROF		xf[0]
5825c28e83SPiotr Jasiukajtis #define	TWO_23F		xf[1]
5925c28e83SPiotr Jasiukajtis #define	MTWO_23F	xf[2]
6025c28e83SPiotr Jasiukajtis #define	ONEF		xf[3]
6125c28e83SPiotr Jasiukajtis #define	MONEF		xf[4]
6225c28e83SPiotr Jasiukajtis #define	HALFF		xf[5]
6325c28e83SPiotr Jasiukajtis #define	MHALFF		xf[6]
6425c28e83SPiotr Jasiukajtis #define	HUGEF		xf[7]
6525c28e83SPiotr Jasiukajtis /* INDENT ON */
6625c28e83SPiotr Jasiukajtis 
6725c28e83SPiotr Jasiukajtis float
aintf(float x)6825c28e83SPiotr Jasiukajtis aintf(float x) {
6925c28e83SPiotr Jasiukajtis 	int hx, k;
7025c28e83SPiotr Jasiukajtis 	float y;
7125c28e83SPiotr Jasiukajtis 
7225c28e83SPiotr Jasiukajtis 	hx = *(int *) &x;
7325c28e83SPiotr Jasiukajtis 	k = (hx & ~0x80000000) >> 23;
7425c28e83SPiotr Jasiukajtis 	if (k < 150) {
7525c28e83SPiotr Jasiukajtis 		y = (float) ((int) x);
7625c28e83SPiotr Jasiukajtis 		/*
7725c28e83SPiotr Jasiukajtis 		 * make sure y has the same sign of x when |x|<0.5
7825c28e83SPiotr Jasiukajtis 		 * (i.e., y=0.0)
7925c28e83SPiotr Jasiukajtis 		 */
8025c28e83SPiotr Jasiukajtis 		return (((k - 127) & hx) < 0 ? -y : y);
8125c28e83SPiotr Jasiukajtis 	} else
8225c28e83SPiotr Jasiukajtis 		/* signal invalid if x is a SNaN */
8325c28e83SPiotr Jasiukajtis 		return (x * ONEF);		/* +0 -> *1 for Cheetah */
8425c28e83SPiotr Jasiukajtis }
8525c28e83SPiotr Jasiukajtis 
8625c28e83SPiotr Jasiukajtis float
anintf(float x)8725c28e83SPiotr Jasiukajtis anintf(float x) {
88*862246c1SToomas Soome 	volatile float dummy __unused;
8925c28e83SPiotr Jasiukajtis 	int hx, k, j, ix;
9025c28e83SPiotr Jasiukajtis 
9125c28e83SPiotr Jasiukajtis 	hx = *(int *) &x;
9225c28e83SPiotr Jasiukajtis 	ix = hx & ~0x80000000;
9325c28e83SPiotr Jasiukajtis 	k = ix >> 23;
9425c28e83SPiotr Jasiukajtis 	if (((k - 127) ^ (k - 150)) < 0) {
9525c28e83SPiotr Jasiukajtis 		j = 1 << (149 - k);
9625c28e83SPiotr Jasiukajtis 		k = j + j - 1;
9725c28e83SPiotr Jasiukajtis 		if ((k & hx) != 0)
9825c28e83SPiotr Jasiukajtis 			dummy = HUGEF + x;	/* raise inexact */
9925c28e83SPiotr Jasiukajtis 		*(int *) &x = (hx + j) & ~k;
10025c28e83SPiotr Jasiukajtis 		return (x);
10125c28e83SPiotr Jasiukajtis 	} else if (k <= 126) {
10225c28e83SPiotr Jasiukajtis 		dummy = HUGEF + x;
10325c28e83SPiotr Jasiukajtis 		*(int *) &x = (0x3f800000 & ((125 - k) >> 31)) |
10425c28e83SPiotr Jasiukajtis 			(0x80000000 & hx);
10525c28e83SPiotr Jasiukajtis 		return (x);
10625c28e83SPiotr Jasiukajtis 	} else
10725c28e83SPiotr Jasiukajtis 		/* signal invalid if x is a SNaN */
10825c28e83SPiotr Jasiukajtis 		return (x * ONEF);		/* +0 -> *1 for Cheetah */
10925c28e83SPiotr Jasiukajtis }
11025c28e83SPiotr Jasiukajtis 
11125c28e83SPiotr Jasiukajtis int
irintf(float x)11225c28e83SPiotr Jasiukajtis irintf(float x) {
11325c28e83SPiotr Jasiukajtis 	float v;
11425c28e83SPiotr Jasiukajtis 	int hx, k;
11525c28e83SPiotr Jasiukajtis 
11625c28e83SPiotr Jasiukajtis 	hx = *(int *) &x;
11725c28e83SPiotr Jasiukajtis 	k = (hx & ~0x80000000) >> 23;
11825c28e83SPiotr Jasiukajtis 	v = xf[((k - 150) >> 31) & (1 - (hx >> 31))];
11925c28e83SPiotr Jasiukajtis 	return ((int) ((float) (x + v) - v));
12025c28e83SPiotr Jasiukajtis }
12125c28e83SPiotr Jasiukajtis 
12225c28e83SPiotr Jasiukajtis int
nintf(float x)12325c28e83SPiotr Jasiukajtis nintf(float x) {
12425c28e83SPiotr Jasiukajtis 	int hx, ix, k, j, m;
125*862246c1SToomas Soome 	volatile float dummy __unused;
12625c28e83SPiotr Jasiukajtis 
12725c28e83SPiotr Jasiukajtis 	hx = *(int *) &x;
12825c28e83SPiotr Jasiukajtis 	k = (hx & ~0x80000000) >> 23;
12925c28e83SPiotr Jasiukajtis 	if (((k - 126) ^ (k - 150)) < 0) {
13025c28e83SPiotr Jasiukajtis 		ix = (hx & 0x00ffffff) | 0x800000;
13125c28e83SPiotr Jasiukajtis 		m = 149 - k;
13225c28e83SPiotr Jasiukajtis 		j = 1 << m;
13325c28e83SPiotr Jasiukajtis 		if ((ix & (j + j - 1)) != 0)
13425c28e83SPiotr Jasiukajtis 			dummy = HUGEF + x;
13525c28e83SPiotr Jasiukajtis 		hx = hx >> 31;
13625c28e83SPiotr Jasiukajtis 		return ((((ix + j) >> (m + 1)) ^ hx) - hx);
13725c28e83SPiotr Jasiukajtis 	} else
13825c28e83SPiotr Jasiukajtis 		return ((int) x);
13925c28e83SPiotr Jasiukajtis }
14025c28e83SPiotr Jasiukajtis 
14125c28e83SPiotr Jasiukajtis float
rintf(float x)14225c28e83SPiotr Jasiukajtis rintf(float x) {
14325c28e83SPiotr Jasiukajtis 	float w, v;
14425c28e83SPiotr Jasiukajtis 	int hx, k;
14525c28e83SPiotr Jasiukajtis 
14625c28e83SPiotr Jasiukajtis 	hx = *(int *) &x;
14725c28e83SPiotr Jasiukajtis 	k = (hx & ~0x80000000) >> 23;
14825c28e83SPiotr Jasiukajtis #if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
14925c28e83SPiotr Jasiukajtis 	if (k >= 150)
15025c28e83SPiotr Jasiukajtis 		return (x * ONEF);
15125c28e83SPiotr Jasiukajtis 	v = xf[1 - (hx >> 31)];
15225c28e83SPiotr Jasiukajtis #else
15325c28e83SPiotr Jasiukajtis 	v = xf[((k - 150) >> 31) & (1 - (hx >> 31))];
15425c28e83SPiotr Jasiukajtis #endif
15525c28e83SPiotr Jasiukajtis 	w = (float) (x + v);
15625c28e83SPiotr Jasiukajtis 	if (k < 127 && w == v)
15725c28e83SPiotr Jasiukajtis 		return (ZEROF * x);
15825c28e83SPiotr Jasiukajtis 	else
15925c28e83SPiotr Jasiukajtis 		return (w - v);
16025c28e83SPiotr Jasiukajtis }
161