xref: /illumos-gate/usr/src/lib/libm/common/Q/remainderl.c (revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af)
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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 
30*ddc0e0b5SRichard Lowe #pragma weak __remainderl = remainderl
3125c28e83SPiotr Jasiukajtis 
3225c28e83SPiotr Jasiukajtis #include "libm.h"
3325c28e83SPiotr Jasiukajtis #include "longdouble.h"
3425c28e83SPiotr Jasiukajtis 
3525c28e83SPiotr Jasiukajtis /*
3625c28e83SPiotr Jasiukajtis  * remainderl(x,p)
3725c28e83SPiotr Jasiukajtis  *	returns  x REM p  =  x - [x/p]*p as if in infinite
3825c28e83SPiotr Jasiukajtis  *	precise arithmetic, where [x/p] is the (inifinite bit)
3925c28e83SPiotr Jasiukajtis  *	integer nearest x/p (in half way case choose the even one).
4025c28e83SPiotr Jasiukajtis  * Method :
4125c28e83SPiotr Jasiukajtis  *	Based on fmodl() return x-[x/p]chopped*p exactly.
4225c28e83SPiotr Jasiukajtis  */
4325c28e83SPiotr Jasiukajtis 
4425c28e83SPiotr Jasiukajtis #define	HFMAX	5.948657476786158825428796633140035080982e+4931L
4525c28e83SPiotr Jasiukajtis #define	DBMIN	6.724206286224187012525355634643505205196e-4932L
4625c28e83SPiotr Jasiukajtis 
4725c28e83SPiotr Jasiukajtis static const long double
4825c28e83SPiotr Jasiukajtis 	zero = 0.0L,
4925c28e83SPiotr Jasiukajtis 	half = 0.5L,
5025c28e83SPiotr Jasiukajtis 	hfmax = HFMAX,	/* half of the maximum number */
5125c28e83SPiotr Jasiukajtis 	dbmin = DBMIN;	/* double of the minimum (normal) number */
5225c28e83SPiotr Jasiukajtis 
5325c28e83SPiotr Jasiukajtis long double
remainderl(long double x,long double p)5425c28e83SPiotr Jasiukajtis remainderl(long double x, long double p) {
5525c28e83SPiotr Jasiukajtis 	long double hp;
5625c28e83SPiotr Jasiukajtis 	int sx;
5725c28e83SPiotr Jasiukajtis 
5825c28e83SPiotr Jasiukajtis 	if (isnanl(p))
5925c28e83SPiotr Jasiukajtis 		return (x + p);
6025c28e83SPiotr Jasiukajtis 	if (!finitel(x))
6125c28e83SPiotr Jasiukajtis 		return (x - x);
6225c28e83SPiotr Jasiukajtis 	p = fabsl(p);
6325c28e83SPiotr Jasiukajtis 	if (p <= hfmax)
6425c28e83SPiotr Jasiukajtis 		x = fmodl(x, p + p);
6525c28e83SPiotr Jasiukajtis 	sx = signbitl(x);
6625c28e83SPiotr Jasiukajtis 	x = fabsl(x);
6725c28e83SPiotr Jasiukajtis 	if (p < dbmin) {
6825c28e83SPiotr Jasiukajtis 		if (x + x > p) {
6925c28e83SPiotr Jasiukajtis 			if (x == p)
7025c28e83SPiotr Jasiukajtis 				x = zero;
7125c28e83SPiotr Jasiukajtis 			else
7225c28e83SPiotr Jasiukajtis 				x -= p;	/* avoid x-x=-0 in RM mode */
7325c28e83SPiotr Jasiukajtis 			if (x + x >= p)
7425c28e83SPiotr Jasiukajtis 				x -= p;
7525c28e83SPiotr Jasiukajtis 		}
7625c28e83SPiotr Jasiukajtis 	} else {
7725c28e83SPiotr Jasiukajtis 		hp = half * p;
7825c28e83SPiotr Jasiukajtis 		if (x > hp) {
7925c28e83SPiotr Jasiukajtis 			if (x == p)
8025c28e83SPiotr Jasiukajtis 				x = zero;
8125c28e83SPiotr Jasiukajtis 			else
8225c28e83SPiotr Jasiukajtis 				x -= p;	/* avoid x-x=-0 in RM mode */
8325c28e83SPiotr Jasiukajtis 			if (x >= hp)
8425c28e83SPiotr Jasiukajtis 				x -= p;
8525c28e83SPiotr Jasiukajtis 		}
8625c28e83SPiotr Jasiukajtis 	}
8725c28e83SPiotr Jasiukajtis 	return (sx == 0 ? x : -x);
8825c28e83SPiotr Jasiukajtis }
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