xref: /src/sys/arch/hppa/spmath/dfrem.c

/*	$NetBSD: dfrem.c,v 1.1 2002/06/05 01:04:24 fredette Exp $	*/

/*	$OpenBSD: dfrem.c,v 1.4 2001/03/29 03:58:17 mickey Exp $	*/

/*
 * Copyright 1996 1995 by Open Software Foundation, Inc.
 *              All Rights Reserved
 *
 * Permission to use, copy, modify, and distribute this software and
 * its documentation for any purpose and without fee is hereby granted,
 * provided that the above copyright notice appears in all copies and
 * that both the copyright notice and this permission notice appear in
 * supporting documentation.
 *
 * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
 * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
 * FOR A PARTICULAR PURPOSE.
 *
 * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
 * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
 * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
 * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
 * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 *
 */
/*
 * pmk1.1
 */
/*
 * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
 *
 * To anyone who acknowledges that this file is provided "AS IS"
 * without any express or implied warranty:
 *     permission to use, copy, modify, and distribute this file
 * for any purpose is hereby granted without fee, provided that
 * the above copyright notice and this notice appears in all
 * copies, and that the name of Hewlett-Packard Company not be
 * used in advertising or publicity pertaining to distribution
 * of the software without specific, written prior permission.
 * Hewlett-Packard Company makes no representations about the
 * suitability of this software for any purpose.
 */


#include "../spmath/float.h"
#include "../spmath/dbl_float.h"

/*
 *  Double Precision Floating-point Remainder
 */
int
dbl_frem(srcptr1,srcptr2,dstptr,status)

dbl_floating_point *srcptr1, *srcptr2, *dstptr;
unsigned int *status;
{
	register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
	register unsigned int resultp1, resultp2;
	register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
	register int roundup = FALSE;

	Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
	Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
	/*
	 * check first operand for NaN's or infinity
	 */
	if ((opnd1_exponent = Dbl_exponent(opnd1p1)) == DBL_INFINITY_EXPONENT) {
		if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
			if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
				/* invalid since first operand is infinity */
				if (Is_invalidtrap_enabled())
					return(INVALIDEXCEPTION);
				Set_invalidflag();
				Dbl_makequietnan(resultp1,resultp2);
				Dbl_copytoptr(resultp1,resultp2,dstptr);
				return(NOEXCEPTION);
			}
		}
		else {
			/*
			 * is NaN; signaling or quiet?
			 */
			if (Dbl_isone_signaling(opnd1p1)) {
				/* trap if INVALIDTRAP enabled */
				if (Is_invalidtrap_enabled())
					return(INVALIDEXCEPTION);
				/* make NaN quiet */
				Set_invalidflag();
				Dbl_set_quiet(opnd1p1);
			}
			/*
			 * is second operand a signaling NaN?
			 */
			else if (Dbl_is_signalingnan(opnd2p1)) {
				/* trap if INVALIDTRAP enabled */
				if (Is_invalidtrap_enabled())
					return(INVALIDEXCEPTION);
				/* make NaN quiet */
				Set_invalidflag();
				Dbl_set_quiet(opnd2p1);
				Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
				return(NOEXCEPTION);
			}
			/*
			 * return quiet NaN
			 */
			Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
			return(NOEXCEPTION);
		}
	}
	/*
	 * check second operand for NaN's or infinity
	 */
	if ((opnd2_exponent = Dbl_exponent(opnd2p1)) == DBL_INFINITY_EXPONENT) {
		if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
			/*
			 * return first operand
			 */
			Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
			return(NOEXCEPTION);
		}
		/*
		 * is NaN; signaling or quiet?
		 */
		if (Dbl_isone_signaling(opnd2p1)) {
			/* trap if INVALIDTRAP enabled */
			if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
			/* make NaN quiet */
			Set_invalidflag();
			Dbl_set_quiet(opnd2p1);
		}
		/*
		 * return quiet NaN
		 */
		Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
		return(NOEXCEPTION);
	}
	/*
	 * check second operand for zero
	 */
	if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
		/* invalid since second operand is zero */
		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
		Set_invalidflag();
		Dbl_makequietnan(resultp1,resultp2);
		Dbl_copytoptr(resultp1,resultp2,dstptr);
		return(NOEXCEPTION);
	}

	/*
	 * get sign of result
	 */
	resultp1 = opnd1p1;

	/*
	 * check for denormalized operands
	 */
	if (opnd1_exponent == 0) {
		/* check for zero */
		if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
			Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
			return(NOEXCEPTION);
		}
		/* normalize, then continue */
		opnd1_exponent = 1;
		Dbl_normalize(opnd1p1,opnd1p2,opnd1_exponent);
	}
	else {
		Dbl_clear_signexponent_set_hidden(opnd1p1);
	}
	if (opnd2_exponent == 0) {
		/* normalize, then continue */
		opnd2_exponent = 1;
		Dbl_normalize(opnd2p1,opnd2p2,opnd2_exponent);
	}
	else {
		Dbl_clear_signexponent_set_hidden(opnd2p1);
	}

	/* find result exponent and divide step loop count */
	dest_exponent = opnd2_exponent - 1;
	stepcount = opnd1_exponent - opnd2_exponent;

	/*
	 * check for opnd1/opnd2 < 1
	 */
	if (stepcount < 0) {
		/*
		 * check for opnd1/opnd2 > 1/2
		 *
		 * In this case n will round to 1, so
		 *    r = opnd1 - opnd2
		 */
		if (stepcount == -1 &&
		    Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
			/* set sign */
			Dbl_allp1(resultp1) = ~Dbl_allp1(resultp1);
			/* align opnd2 with opnd1 */
			Dbl_leftshiftby1(opnd2p1,opnd2p2);
			Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,
			 opnd2p1,opnd2p2);
			/* now normalize */
			while (Dbl_iszero_hidden(opnd2p1)) {
				Dbl_leftshiftby1(opnd2p1,opnd2p2);
				dest_exponent--;
			}
			Dbl_set_exponentmantissa(resultp1,resultp2,opnd2p1,opnd2p2);
			goto testforunderflow;
		}
		/*
		 * opnd1/opnd2 <= 1/2
		 *
		 * In this case n will round to zero, so
		 *    r = opnd1
		 */
		Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
		dest_exponent = opnd1_exponent;
		goto testforunderflow;
	}

	/*
	 * Generate result
	 *
	 * Do iterative subtract until remainder is less than operand 2.
	 */
	while (stepcount-- > 0 && (Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2))) {
		if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
			Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
		}
		Dbl_leftshiftby1(opnd1p1,opnd1p2);
	}
	/*
	 * Do last subtract, then determine which way to round if remainder
	 * is exactly 1/2 of opnd2
	 */
	if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
		Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
		roundup = TRUE;
	}
	if (stepcount > 0 || Dbl_iszero(opnd1p1,opnd1p2)) {
		/* division is exact, remainder is zero */
		Dbl_setzero_exponentmantissa(resultp1,resultp2);
		Dbl_copytoptr(resultp1,resultp2,dstptr);
		return(NOEXCEPTION);
	}

	/*
	 * Check for cases where opnd1/opnd2 < n
	 *
	 * In this case the result's sign will be opposite that of
	 * opnd1.  The mantissa also needs some correction.
	 */
	Dbl_leftshiftby1(opnd1p1,opnd1p2);
	if (Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
		Dbl_invert_sign(resultp1);
		Dbl_leftshiftby1(opnd2p1,opnd2p2);
		Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,opnd1p1,opnd1p2);
	}
	/* check for remainder being exactly 1/2 of opnd2 */
	else if (Dbl_isequal(opnd1p1,opnd1p2,opnd2p1,opnd2p2) && roundup) {
		Dbl_invert_sign(resultp1);
	}

	/* normalize result's mantissa */
	while (Dbl_iszero_hidden(opnd1p1)) {
		dest_exponent--;
		Dbl_leftshiftby1(opnd1p1,opnd1p2);
	}
	Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);

	/*
	 * Test for underflow
	 */
    testforunderflow:
	if (dest_exponent <= 0) {
		/* trap if UNDERFLOWTRAP enabled */
		if (Is_underflowtrap_enabled()) {
			/*
			 * Adjust bias of result
			 */
			Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
			/* frem is always exact */
			Dbl_copytoptr(resultp1,resultp2,dstptr);
			return(UNDERFLOWEXCEPTION);
		}
		/*
		 * denormalize result or set to signed zero
		 */
		if (dest_exponent >= (1 - DBL_P)) {
			Dbl_rightshift_exponentmantissa(resultp1,resultp2,
			 1-dest_exponent);
		}
		else {
			Dbl_setzero_exponentmantissa(resultp1,resultp2);
		}
	}
	else Dbl_set_exponent(resultp1,dest_exponent);
	Dbl_copytoptr(resultp1,resultp2,dstptr);
	return(NOEXCEPTION);
}