18c2ecf20Sopenharmony_ci// SPDX-License-Identifier: GPL-2.0-or-later
28c2ecf20Sopenharmony_ci/*
38c2ecf20Sopenharmony_ci * Linux/PA-RISC Project (http://www.parisc-linux.org/)
48c2ecf20Sopenharmony_ci *
58c2ecf20Sopenharmony_ci * Floating-point emulation code
68c2ecf20Sopenharmony_ci *  Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org>
78c2ecf20Sopenharmony_ci */
88c2ecf20Sopenharmony_ci/*
98c2ecf20Sopenharmony_ci * BEGIN_DESC
108c2ecf20Sopenharmony_ci *
118c2ecf20Sopenharmony_ci *  File:
128c2ecf20Sopenharmony_ci *	@(#)	pa/spmath/dfrem.c		$Revision: 1.1 $
138c2ecf20Sopenharmony_ci *
148c2ecf20Sopenharmony_ci *  Purpose:
158c2ecf20Sopenharmony_ci *	Double Precision Floating-point Remainder
168c2ecf20Sopenharmony_ci *
178c2ecf20Sopenharmony_ci *  External Interfaces:
188c2ecf20Sopenharmony_ci *	dbl_frem(srcptr1,srcptr2,dstptr,status)
198c2ecf20Sopenharmony_ci *
208c2ecf20Sopenharmony_ci *  Internal Interfaces:
218c2ecf20Sopenharmony_ci *
228c2ecf20Sopenharmony_ci *  Theory:
238c2ecf20Sopenharmony_ci *	<<please update with a overview of the operation of this file>>
248c2ecf20Sopenharmony_ci *
258c2ecf20Sopenharmony_ci * END_DESC
268c2ecf20Sopenharmony_ci*/
278c2ecf20Sopenharmony_ci
288c2ecf20Sopenharmony_ci
298c2ecf20Sopenharmony_ci
308c2ecf20Sopenharmony_ci#include "float.h"
318c2ecf20Sopenharmony_ci#include "dbl_float.h"
328c2ecf20Sopenharmony_ci
338c2ecf20Sopenharmony_ci/*
348c2ecf20Sopenharmony_ci *  Double Precision Floating-point Remainder
358c2ecf20Sopenharmony_ci */
368c2ecf20Sopenharmony_ci
378c2ecf20Sopenharmony_ciint
388c2ecf20Sopenharmony_cidbl_frem (dbl_floating_point * srcptr1, dbl_floating_point * srcptr2,
398c2ecf20Sopenharmony_ci	  dbl_floating_point * dstptr, unsigned int *status)
408c2ecf20Sopenharmony_ci{
418c2ecf20Sopenharmony_ci	register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
428c2ecf20Sopenharmony_ci	register unsigned int resultp1, resultp2;
438c2ecf20Sopenharmony_ci	register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
448c2ecf20Sopenharmony_ci	register boolean roundup = FALSE;
458c2ecf20Sopenharmony_ci
468c2ecf20Sopenharmony_ci	Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
478c2ecf20Sopenharmony_ci	Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
488c2ecf20Sopenharmony_ci	/*
498c2ecf20Sopenharmony_ci	 * check first operand for NaN's or infinity
508c2ecf20Sopenharmony_ci	 */
518c2ecf20Sopenharmony_ci	if ((opnd1_exponent = Dbl_exponent(opnd1p1)) == DBL_INFINITY_EXPONENT) {
528c2ecf20Sopenharmony_ci		if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
538c2ecf20Sopenharmony_ci			if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
548c2ecf20Sopenharmony_ci				/* invalid since first operand is infinity */
558c2ecf20Sopenharmony_ci				if (Is_invalidtrap_enabled())
568c2ecf20Sopenharmony_ci                                	return(INVALIDEXCEPTION);
578c2ecf20Sopenharmony_ci                                Set_invalidflag();
588c2ecf20Sopenharmony_ci                                Dbl_makequietnan(resultp1,resultp2);
598c2ecf20Sopenharmony_ci				Dbl_copytoptr(resultp1,resultp2,dstptr);
608c2ecf20Sopenharmony_ci				return(NOEXCEPTION);
618c2ecf20Sopenharmony_ci			}
628c2ecf20Sopenharmony_ci		}
638c2ecf20Sopenharmony_ci		else {
648c2ecf20Sopenharmony_ci                	/*
658c2ecf20Sopenharmony_ci                 	 * is NaN; signaling or quiet?
668c2ecf20Sopenharmony_ci                 	 */
678c2ecf20Sopenharmony_ci                	if (Dbl_isone_signaling(opnd1p1)) {
688c2ecf20Sopenharmony_ci                        	/* trap if INVALIDTRAP enabled */
698c2ecf20Sopenharmony_ci                        	if (Is_invalidtrap_enabled())
708c2ecf20Sopenharmony_ci                            		return(INVALIDEXCEPTION);
718c2ecf20Sopenharmony_ci                        	/* make NaN quiet */
728c2ecf20Sopenharmony_ci                        	Set_invalidflag();
738c2ecf20Sopenharmony_ci                        	Dbl_set_quiet(opnd1p1);
748c2ecf20Sopenharmony_ci                	}
758c2ecf20Sopenharmony_ci			/*
768c2ecf20Sopenharmony_ci			 * is second operand a signaling NaN?
778c2ecf20Sopenharmony_ci			 */
788c2ecf20Sopenharmony_ci			else if (Dbl_is_signalingnan(opnd2p1)) {
798c2ecf20Sopenharmony_ci                        	/* trap if INVALIDTRAP enabled */
808c2ecf20Sopenharmony_ci                        	if (Is_invalidtrap_enabled())
818c2ecf20Sopenharmony_ci                            		return(INVALIDEXCEPTION);
828c2ecf20Sopenharmony_ci                        	/* make NaN quiet */
838c2ecf20Sopenharmony_ci                        	Set_invalidflag();
848c2ecf20Sopenharmony_ci                        	Dbl_set_quiet(opnd2p1);
858c2ecf20Sopenharmony_ci				Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
868c2ecf20Sopenharmony_ci                		return(NOEXCEPTION);
878c2ecf20Sopenharmony_ci			}
888c2ecf20Sopenharmony_ci                	/*
898c2ecf20Sopenharmony_ci                 	 * return quiet NaN
908c2ecf20Sopenharmony_ci                 	 */
918c2ecf20Sopenharmony_ci			Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
928c2ecf20Sopenharmony_ci                	return(NOEXCEPTION);
938c2ecf20Sopenharmony_ci		}
948c2ecf20Sopenharmony_ci	}
958c2ecf20Sopenharmony_ci	/*
968c2ecf20Sopenharmony_ci	 * check second operand for NaN's or infinity
978c2ecf20Sopenharmony_ci	 */
988c2ecf20Sopenharmony_ci	if ((opnd2_exponent = Dbl_exponent(opnd2p1)) == DBL_INFINITY_EXPONENT) {
998c2ecf20Sopenharmony_ci		if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
1008c2ecf20Sopenharmony_ci			/*
1018c2ecf20Sopenharmony_ci			 * return first operand
1028c2ecf20Sopenharmony_ci			 */
1038c2ecf20Sopenharmony_ci			Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
1048c2ecf20Sopenharmony_ci			return(NOEXCEPTION);
1058c2ecf20Sopenharmony_ci		}
1068c2ecf20Sopenharmony_ci                /*
1078c2ecf20Sopenharmony_ci                 * is NaN; signaling or quiet?
1088c2ecf20Sopenharmony_ci                 */
1098c2ecf20Sopenharmony_ci                if (Dbl_isone_signaling(opnd2p1)) {
1108c2ecf20Sopenharmony_ci                        /* trap if INVALIDTRAP enabled */
1118c2ecf20Sopenharmony_ci                        if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
1128c2ecf20Sopenharmony_ci                        /* make NaN quiet */
1138c2ecf20Sopenharmony_ci                        Set_invalidflag();
1148c2ecf20Sopenharmony_ci                        Dbl_set_quiet(opnd2p1);
1158c2ecf20Sopenharmony_ci                }
1168c2ecf20Sopenharmony_ci                /*
1178c2ecf20Sopenharmony_ci                 * return quiet NaN
1188c2ecf20Sopenharmony_ci                 */
1198c2ecf20Sopenharmony_ci		Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
1208c2ecf20Sopenharmony_ci                return(NOEXCEPTION);
1218c2ecf20Sopenharmony_ci	}
1228c2ecf20Sopenharmony_ci	/*
1238c2ecf20Sopenharmony_ci	 * check second operand for zero
1248c2ecf20Sopenharmony_ci	 */
1258c2ecf20Sopenharmony_ci	if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
1268c2ecf20Sopenharmony_ci		/* invalid since second operand is zero */
1278c2ecf20Sopenharmony_ci		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
1288c2ecf20Sopenharmony_ci                Set_invalidflag();
1298c2ecf20Sopenharmony_ci                Dbl_makequietnan(resultp1,resultp2);
1308c2ecf20Sopenharmony_ci		Dbl_copytoptr(resultp1,resultp2,dstptr);
1318c2ecf20Sopenharmony_ci		return(NOEXCEPTION);
1328c2ecf20Sopenharmony_ci	}
1338c2ecf20Sopenharmony_ci
1348c2ecf20Sopenharmony_ci	/*
1358c2ecf20Sopenharmony_ci	 * get sign of result
1368c2ecf20Sopenharmony_ci	 */
1378c2ecf20Sopenharmony_ci	resultp1 = opnd1p1;
1388c2ecf20Sopenharmony_ci
1398c2ecf20Sopenharmony_ci	/*
1408c2ecf20Sopenharmony_ci	 * check for denormalized operands
1418c2ecf20Sopenharmony_ci	 */
1428c2ecf20Sopenharmony_ci	if (opnd1_exponent == 0) {
1438c2ecf20Sopenharmony_ci		/* check for zero */
1448c2ecf20Sopenharmony_ci		if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
1458c2ecf20Sopenharmony_ci			Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
1468c2ecf20Sopenharmony_ci			return(NOEXCEPTION);
1478c2ecf20Sopenharmony_ci		}
1488c2ecf20Sopenharmony_ci		/* normalize, then continue */
1498c2ecf20Sopenharmony_ci		opnd1_exponent = 1;
1508c2ecf20Sopenharmony_ci		Dbl_normalize(opnd1p1,opnd1p2,opnd1_exponent);
1518c2ecf20Sopenharmony_ci	}
1528c2ecf20Sopenharmony_ci	else {
1538c2ecf20Sopenharmony_ci		Dbl_clear_signexponent_set_hidden(opnd1p1);
1548c2ecf20Sopenharmony_ci	}
1558c2ecf20Sopenharmony_ci	if (opnd2_exponent == 0) {
1568c2ecf20Sopenharmony_ci		/* normalize, then continue */
1578c2ecf20Sopenharmony_ci		opnd2_exponent = 1;
1588c2ecf20Sopenharmony_ci		Dbl_normalize(opnd2p1,opnd2p2,opnd2_exponent);
1598c2ecf20Sopenharmony_ci	}
1608c2ecf20Sopenharmony_ci	else {
1618c2ecf20Sopenharmony_ci		Dbl_clear_signexponent_set_hidden(opnd2p1);
1628c2ecf20Sopenharmony_ci	}
1638c2ecf20Sopenharmony_ci
1648c2ecf20Sopenharmony_ci	/* find result exponent and divide step loop count */
1658c2ecf20Sopenharmony_ci	dest_exponent = opnd2_exponent - 1;
1668c2ecf20Sopenharmony_ci	stepcount = opnd1_exponent - opnd2_exponent;
1678c2ecf20Sopenharmony_ci
1688c2ecf20Sopenharmony_ci	/*
1698c2ecf20Sopenharmony_ci	 * check for opnd1/opnd2 < 1
1708c2ecf20Sopenharmony_ci	 */
1718c2ecf20Sopenharmony_ci	if (stepcount < 0) {
1728c2ecf20Sopenharmony_ci		/*
1738c2ecf20Sopenharmony_ci		 * check for opnd1/opnd2 > 1/2
1748c2ecf20Sopenharmony_ci		 *
1758c2ecf20Sopenharmony_ci		 * In this case n will round to 1, so
1768c2ecf20Sopenharmony_ci		 *    r = opnd1 - opnd2
1778c2ecf20Sopenharmony_ci		 */
1788c2ecf20Sopenharmony_ci		if (stepcount == -1 &&
1798c2ecf20Sopenharmony_ci		    Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
1808c2ecf20Sopenharmony_ci			/* set sign */
1818c2ecf20Sopenharmony_ci			Dbl_allp1(resultp1) = ~Dbl_allp1(resultp1);
1828c2ecf20Sopenharmony_ci			/* align opnd2 with opnd1 */
1838c2ecf20Sopenharmony_ci			Dbl_leftshiftby1(opnd2p1,opnd2p2);
1848c2ecf20Sopenharmony_ci			Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,
1858c2ecf20Sopenharmony_ci			 opnd2p1,opnd2p2);
1868c2ecf20Sopenharmony_ci			/* now normalize */
1878c2ecf20Sopenharmony_ci                	while (Dbl_iszero_hidden(opnd2p1)) {
1888c2ecf20Sopenharmony_ci                        	Dbl_leftshiftby1(opnd2p1,opnd2p2);
1898c2ecf20Sopenharmony_ci                        	dest_exponent--;
1908c2ecf20Sopenharmony_ci			}
1918c2ecf20Sopenharmony_ci			Dbl_set_exponentmantissa(resultp1,resultp2,opnd2p1,opnd2p2);
1928c2ecf20Sopenharmony_ci			goto testforunderflow;
1938c2ecf20Sopenharmony_ci		}
1948c2ecf20Sopenharmony_ci		/*
1958c2ecf20Sopenharmony_ci		 * opnd1/opnd2 <= 1/2
1968c2ecf20Sopenharmony_ci		 *
1978c2ecf20Sopenharmony_ci		 * In this case n will round to zero, so
1988c2ecf20Sopenharmony_ci		 *    r = opnd1
1998c2ecf20Sopenharmony_ci		 */
2008c2ecf20Sopenharmony_ci		Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
2018c2ecf20Sopenharmony_ci		dest_exponent = opnd1_exponent;
2028c2ecf20Sopenharmony_ci		goto testforunderflow;
2038c2ecf20Sopenharmony_ci	}
2048c2ecf20Sopenharmony_ci
2058c2ecf20Sopenharmony_ci	/*
2068c2ecf20Sopenharmony_ci	 * Generate result
2078c2ecf20Sopenharmony_ci	 *
2088c2ecf20Sopenharmony_ci	 * Do iterative subtract until remainder is less than operand 2.
2098c2ecf20Sopenharmony_ci	 */
2108c2ecf20Sopenharmony_ci	while (stepcount-- > 0 && (Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2))) {
2118c2ecf20Sopenharmony_ci		if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
2128c2ecf20Sopenharmony_ci			Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
2138c2ecf20Sopenharmony_ci		}
2148c2ecf20Sopenharmony_ci		Dbl_leftshiftby1(opnd1p1,opnd1p2);
2158c2ecf20Sopenharmony_ci	}
2168c2ecf20Sopenharmony_ci	/*
2178c2ecf20Sopenharmony_ci	 * Do last subtract, then determine which way to round if remainder
2188c2ecf20Sopenharmony_ci	 * is exactly 1/2 of opnd2
2198c2ecf20Sopenharmony_ci	 */
2208c2ecf20Sopenharmony_ci	if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
2218c2ecf20Sopenharmony_ci		Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
2228c2ecf20Sopenharmony_ci		roundup = TRUE;
2238c2ecf20Sopenharmony_ci	}
2248c2ecf20Sopenharmony_ci	if (stepcount > 0 || Dbl_iszero(opnd1p1,opnd1p2)) {
2258c2ecf20Sopenharmony_ci		/* division is exact, remainder is zero */
2268c2ecf20Sopenharmony_ci		Dbl_setzero_exponentmantissa(resultp1,resultp2);
2278c2ecf20Sopenharmony_ci		Dbl_copytoptr(resultp1,resultp2,dstptr);
2288c2ecf20Sopenharmony_ci		return(NOEXCEPTION);
2298c2ecf20Sopenharmony_ci	}
2308c2ecf20Sopenharmony_ci
2318c2ecf20Sopenharmony_ci	/*
2328c2ecf20Sopenharmony_ci	 * Check for cases where opnd1/opnd2 < n
2338c2ecf20Sopenharmony_ci	 *
2348c2ecf20Sopenharmony_ci	 * In this case the result's sign will be opposite that of
2358c2ecf20Sopenharmony_ci	 * opnd1.  The mantissa also needs some correction.
2368c2ecf20Sopenharmony_ci	 */
2378c2ecf20Sopenharmony_ci	Dbl_leftshiftby1(opnd1p1,opnd1p2);
2388c2ecf20Sopenharmony_ci	if (Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
2398c2ecf20Sopenharmony_ci		Dbl_invert_sign(resultp1);
2408c2ecf20Sopenharmony_ci		Dbl_leftshiftby1(opnd2p1,opnd2p2);
2418c2ecf20Sopenharmony_ci		Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,opnd1p1,opnd1p2);
2428c2ecf20Sopenharmony_ci	}
2438c2ecf20Sopenharmony_ci	/* check for remainder being exactly 1/2 of opnd2 */
2448c2ecf20Sopenharmony_ci	else if (Dbl_isequal(opnd1p1,opnd1p2,opnd2p1,opnd2p2) && roundup) {
2458c2ecf20Sopenharmony_ci		Dbl_invert_sign(resultp1);
2468c2ecf20Sopenharmony_ci	}
2478c2ecf20Sopenharmony_ci
2488c2ecf20Sopenharmony_ci	/* normalize result's mantissa */
2498c2ecf20Sopenharmony_ci        while (Dbl_iszero_hidden(opnd1p1)) {
2508c2ecf20Sopenharmony_ci                dest_exponent--;
2518c2ecf20Sopenharmony_ci                Dbl_leftshiftby1(opnd1p1,opnd1p2);
2528c2ecf20Sopenharmony_ci        }
2538c2ecf20Sopenharmony_ci	Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
2548c2ecf20Sopenharmony_ci
2558c2ecf20Sopenharmony_ci        /*
2568c2ecf20Sopenharmony_ci         * Test for underflow
2578c2ecf20Sopenharmony_ci         */
2588c2ecf20Sopenharmony_ci    testforunderflow:
2598c2ecf20Sopenharmony_ci	if (dest_exponent <= 0) {
2608c2ecf20Sopenharmony_ci                /* trap if UNDERFLOWTRAP enabled */
2618c2ecf20Sopenharmony_ci                if (Is_underflowtrap_enabled()) {
2628c2ecf20Sopenharmony_ci                        /*
2638c2ecf20Sopenharmony_ci                         * Adjust bias of result
2648c2ecf20Sopenharmony_ci                         */
2658c2ecf20Sopenharmony_ci                        Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
2668c2ecf20Sopenharmony_ci			/* frem is always exact */
2678c2ecf20Sopenharmony_ci			Dbl_copytoptr(resultp1,resultp2,dstptr);
2688c2ecf20Sopenharmony_ci			return(UNDERFLOWEXCEPTION);
2698c2ecf20Sopenharmony_ci                }
2708c2ecf20Sopenharmony_ci                /*
2718c2ecf20Sopenharmony_ci                 * denormalize result or set to signed zero
2728c2ecf20Sopenharmony_ci                 */
2738c2ecf20Sopenharmony_ci                if (dest_exponent >= (1 - DBL_P)) {
2748c2ecf20Sopenharmony_ci			Dbl_rightshift_exponentmantissa(resultp1,resultp2,
2758c2ecf20Sopenharmony_ci			 1-dest_exponent);
2768c2ecf20Sopenharmony_ci                }
2778c2ecf20Sopenharmony_ci                else {
2788c2ecf20Sopenharmony_ci			Dbl_setzero_exponentmantissa(resultp1,resultp2);
2798c2ecf20Sopenharmony_ci		}
2808c2ecf20Sopenharmony_ci	}
2818c2ecf20Sopenharmony_ci	else Dbl_set_exponent(resultp1,dest_exponent);
2828c2ecf20Sopenharmony_ci	Dbl_copytoptr(resultp1,resultp2,dstptr);
2838c2ecf20Sopenharmony_ci	return(NOEXCEPTION);
2848c2ecf20Sopenharmony_ci}
285