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/sfrem.c		$Revision: 1.1 $
138c2ecf20Sopenharmony_ci *
148c2ecf20Sopenharmony_ci *  Purpose:
158c2ecf20Sopenharmony_ci *	Single Precision Floating-point Remainder
168c2ecf20Sopenharmony_ci *
178c2ecf20Sopenharmony_ci *  External Interfaces:
188c2ecf20Sopenharmony_ci *	sgl_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 "sgl_float.h"
328c2ecf20Sopenharmony_ci
338c2ecf20Sopenharmony_ci/*
348c2ecf20Sopenharmony_ci *  Single Precision Floating-point Remainder
358c2ecf20Sopenharmony_ci */
368c2ecf20Sopenharmony_ci
378c2ecf20Sopenharmony_ciint
388c2ecf20Sopenharmony_cisgl_frem (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2,
398c2ecf20Sopenharmony_ci	  sgl_floating_point * dstptr, unsigned int *status)
408c2ecf20Sopenharmony_ci{
418c2ecf20Sopenharmony_ci	register unsigned int opnd1, opnd2, result;
428c2ecf20Sopenharmony_ci	register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
438c2ecf20Sopenharmony_ci	register boolean roundup = FALSE;
448c2ecf20Sopenharmony_ci
458c2ecf20Sopenharmony_ci	opnd1 = *srcptr1;
468c2ecf20Sopenharmony_ci	opnd2 = *srcptr2;
478c2ecf20Sopenharmony_ci	/*
488c2ecf20Sopenharmony_ci	 * check first operand for NaN's or infinity
498c2ecf20Sopenharmony_ci	 */
508c2ecf20Sopenharmony_ci	if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) {
518c2ecf20Sopenharmony_ci		if (Sgl_iszero_mantissa(opnd1)) {
528c2ecf20Sopenharmony_ci			if (Sgl_isnotnan(opnd2)) {
538c2ecf20Sopenharmony_ci				/* invalid since first operand is infinity */
548c2ecf20Sopenharmony_ci				if (Is_invalidtrap_enabled())
558c2ecf20Sopenharmony_ci                                	return(INVALIDEXCEPTION);
568c2ecf20Sopenharmony_ci                                Set_invalidflag();
578c2ecf20Sopenharmony_ci                                Sgl_makequietnan(result);
588c2ecf20Sopenharmony_ci				*dstptr = result;
598c2ecf20Sopenharmony_ci				return(NOEXCEPTION);
608c2ecf20Sopenharmony_ci			}
618c2ecf20Sopenharmony_ci		}
628c2ecf20Sopenharmony_ci		else {
638c2ecf20Sopenharmony_ci                	/*
648c2ecf20Sopenharmony_ci                 	 * is NaN; signaling or quiet?
658c2ecf20Sopenharmony_ci                 	 */
668c2ecf20Sopenharmony_ci                	if (Sgl_isone_signaling(opnd1)) {
678c2ecf20Sopenharmony_ci                        	/* trap if INVALIDTRAP enabled */
688c2ecf20Sopenharmony_ci                        	if (Is_invalidtrap_enabled())
698c2ecf20Sopenharmony_ci                            		return(INVALIDEXCEPTION);
708c2ecf20Sopenharmony_ci                        	/* make NaN quiet */
718c2ecf20Sopenharmony_ci                        	Set_invalidflag();
728c2ecf20Sopenharmony_ci                        	Sgl_set_quiet(opnd1);
738c2ecf20Sopenharmony_ci                	}
748c2ecf20Sopenharmony_ci			/*
758c2ecf20Sopenharmony_ci			 * is second operand a signaling NaN?
768c2ecf20Sopenharmony_ci			 */
778c2ecf20Sopenharmony_ci			else if (Sgl_is_signalingnan(opnd2)) {
788c2ecf20Sopenharmony_ci                        	/* trap if INVALIDTRAP enabled */
798c2ecf20Sopenharmony_ci                        	if (Is_invalidtrap_enabled())
808c2ecf20Sopenharmony_ci                            		return(INVALIDEXCEPTION);
818c2ecf20Sopenharmony_ci                        	/* make NaN quiet */
828c2ecf20Sopenharmony_ci                        	Set_invalidflag();
838c2ecf20Sopenharmony_ci                        	Sgl_set_quiet(opnd2);
848c2ecf20Sopenharmony_ci                		*dstptr = opnd2;
858c2ecf20Sopenharmony_ci                		return(NOEXCEPTION);
868c2ecf20Sopenharmony_ci			}
878c2ecf20Sopenharmony_ci                	/*
888c2ecf20Sopenharmony_ci                 	 * return quiet NaN
898c2ecf20Sopenharmony_ci                 	 */
908c2ecf20Sopenharmony_ci                	*dstptr = opnd1;
918c2ecf20Sopenharmony_ci                	return(NOEXCEPTION);
928c2ecf20Sopenharmony_ci		}
938c2ecf20Sopenharmony_ci	}
948c2ecf20Sopenharmony_ci	/*
958c2ecf20Sopenharmony_ci	 * check second operand for NaN's or infinity
968c2ecf20Sopenharmony_ci	 */
978c2ecf20Sopenharmony_ci	if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) {
988c2ecf20Sopenharmony_ci		if (Sgl_iszero_mantissa(opnd2)) {
998c2ecf20Sopenharmony_ci			/*
1008c2ecf20Sopenharmony_ci			 * return first operand
1018c2ecf20Sopenharmony_ci			 */
1028c2ecf20Sopenharmony_ci                	*dstptr = opnd1;
1038c2ecf20Sopenharmony_ci			return(NOEXCEPTION);
1048c2ecf20Sopenharmony_ci		}
1058c2ecf20Sopenharmony_ci                /*
1068c2ecf20Sopenharmony_ci                 * is NaN; signaling or quiet?
1078c2ecf20Sopenharmony_ci                 */
1088c2ecf20Sopenharmony_ci                if (Sgl_isone_signaling(opnd2)) {
1098c2ecf20Sopenharmony_ci                        /* trap if INVALIDTRAP enabled */
1108c2ecf20Sopenharmony_ci                        if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
1118c2ecf20Sopenharmony_ci                        /* make NaN quiet */
1128c2ecf20Sopenharmony_ci                        Set_invalidflag();
1138c2ecf20Sopenharmony_ci                        Sgl_set_quiet(opnd2);
1148c2ecf20Sopenharmony_ci                }
1158c2ecf20Sopenharmony_ci                /*
1168c2ecf20Sopenharmony_ci                 * return quiet NaN
1178c2ecf20Sopenharmony_ci                 */
1188c2ecf20Sopenharmony_ci                *dstptr = opnd2;
1198c2ecf20Sopenharmony_ci                return(NOEXCEPTION);
1208c2ecf20Sopenharmony_ci	}
1218c2ecf20Sopenharmony_ci	/*
1228c2ecf20Sopenharmony_ci	 * check second operand for zero
1238c2ecf20Sopenharmony_ci	 */
1248c2ecf20Sopenharmony_ci	if (Sgl_iszero_exponentmantissa(opnd2)) {
1258c2ecf20Sopenharmony_ci		/* invalid since second operand is zero */
1268c2ecf20Sopenharmony_ci		if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
1278c2ecf20Sopenharmony_ci                Set_invalidflag();
1288c2ecf20Sopenharmony_ci                Sgl_makequietnan(result);
1298c2ecf20Sopenharmony_ci		*dstptr = result;
1308c2ecf20Sopenharmony_ci		return(NOEXCEPTION);
1318c2ecf20Sopenharmony_ci	}
1328c2ecf20Sopenharmony_ci
1338c2ecf20Sopenharmony_ci	/*
1348c2ecf20Sopenharmony_ci	 * get sign of result
1358c2ecf20Sopenharmony_ci	 */
1368c2ecf20Sopenharmony_ci	result = opnd1;
1378c2ecf20Sopenharmony_ci
1388c2ecf20Sopenharmony_ci	/*
1398c2ecf20Sopenharmony_ci	 * check for denormalized operands
1408c2ecf20Sopenharmony_ci	 */
1418c2ecf20Sopenharmony_ci	if (opnd1_exponent == 0) {
1428c2ecf20Sopenharmony_ci		/* check for zero */
1438c2ecf20Sopenharmony_ci		if (Sgl_iszero_mantissa(opnd1)) {
1448c2ecf20Sopenharmony_ci			*dstptr = opnd1;
1458c2ecf20Sopenharmony_ci			return(NOEXCEPTION);
1468c2ecf20Sopenharmony_ci		}
1478c2ecf20Sopenharmony_ci		/* normalize, then continue */
1488c2ecf20Sopenharmony_ci		opnd1_exponent = 1;
1498c2ecf20Sopenharmony_ci		Sgl_normalize(opnd1,opnd1_exponent);
1508c2ecf20Sopenharmony_ci	}
1518c2ecf20Sopenharmony_ci	else {
1528c2ecf20Sopenharmony_ci		Sgl_clear_signexponent_set_hidden(opnd1);
1538c2ecf20Sopenharmony_ci	}
1548c2ecf20Sopenharmony_ci	if (opnd2_exponent == 0) {
1558c2ecf20Sopenharmony_ci		/* normalize, then continue */
1568c2ecf20Sopenharmony_ci		opnd2_exponent = 1;
1578c2ecf20Sopenharmony_ci		Sgl_normalize(opnd2,opnd2_exponent);
1588c2ecf20Sopenharmony_ci	}
1598c2ecf20Sopenharmony_ci	else {
1608c2ecf20Sopenharmony_ci		Sgl_clear_signexponent_set_hidden(opnd2);
1618c2ecf20Sopenharmony_ci	}
1628c2ecf20Sopenharmony_ci
1638c2ecf20Sopenharmony_ci	/* find result exponent and divide step loop count */
1648c2ecf20Sopenharmony_ci	dest_exponent = opnd2_exponent - 1;
1658c2ecf20Sopenharmony_ci	stepcount = opnd1_exponent - opnd2_exponent;
1668c2ecf20Sopenharmony_ci
1678c2ecf20Sopenharmony_ci	/*
1688c2ecf20Sopenharmony_ci	 * check for opnd1/opnd2 < 1
1698c2ecf20Sopenharmony_ci	 */
1708c2ecf20Sopenharmony_ci	if (stepcount < 0) {
1718c2ecf20Sopenharmony_ci		/*
1728c2ecf20Sopenharmony_ci		 * check for opnd1/opnd2 > 1/2
1738c2ecf20Sopenharmony_ci		 *
1748c2ecf20Sopenharmony_ci		 * In this case n will round to 1, so
1758c2ecf20Sopenharmony_ci		 *    r = opnd1 - opnd2
1768c2ecf20Sopenharmony_ci		 */
1778c2ecf20Sopenharmony_ci		if (stepcount == -1 && Sgl_isgreaterthan(opnd1,opnd2)) {
1788c2ecf20Sopenharmony_ci			Sgl_all(result) = ~Sgl_all(result);   /* set sign */
1798c2ecf20Sopenharmony_ci			/* align opnd2 with opnd1 */
1808c2ecf20Sopenharmony_ci			Sgl_leftshiftby1(opnd2);
1818c2ecf20Sopenharmony_ci			Sgl_subtract(opnd2,opnd1,opnd2);
1828c2ecf20Sopenharmony_ci			/* now normalize */
1838c2ecf20Sopenharmony_ci                	while (Sgl_iszero_hidden(opnd2)) {
1848c2ecf20Sopenharmony_ci                        	Sgl_leftshiftby1(opnd2);
1858c2ecf20Sopenharmony_ci                        	dest_exponent--;
1868c2ecf20Sopenharmony_ci			}
1878c2ecf20Sopenharmony_ci			Sgl_set_exponentmantissa(result,opnd2);
1888c2ecf20Sopenharmony_ci			goto testforunderflow;
1898c2ecf20Sopenharmony_ci		}
1908c2ecf20Sopenharmony_ci		/*
1918c2ecf20Sopenharmony_ci		 * opnd1/opnd2 <= 1/2
1928c2ecf20Sopenharmony_ci		 *
1938c2ecf20Sopenharmony_ci		 * In this case n will round to zero, so
1948c2ecf20Sopenharmony_ci		 *    r = opnd1
1958c2ecf20Sopenharmony_ci		 */
1968c2ecf20Sopenharmony_ci		Sgl_set_exponentmantissa(result,opnd1);
1978c2ecf20Sopenharmony_ci		dest_exponent = opnd1_exponent;
1988c2ecf20Sopenharmony_ci		goto testforunderflow;
1998c2ecf20Sopenharmony_ci	}
2008c2ecf20Sopenharmony_ci
2018c2ecf20Sopenharmony_ci	/*
2028c2ecf20Sopenharmony_ci	 * Generate result
2038c2ecf20Sopenharmony_ci	 *
2048c2ecf20Sopenharmony_ci	 * Do iterative subtract until remainder is less than operand 2.
2058c2ecf20Sopenharmony_ci	 */
2068c2ecf20Sopenharmony_ci	while (stepcount-- > 0 && Sgl_all(opnd1)) {
2078c2ecf20Sopenharmony_ci		if (Sgl_isnotlessthan(opnd1,opnd2))
2088c2ecf20Sopenharmony_ci			Sgl_subtract(opnd1,opnd2,opnd1);
2098c2ecf20Sopenharmony_ci		Sgl_leftshiftby1(opnd1);
2108c2ecf20Sopenharmony_ci	}
2118c2ecf20Sopenharmony_ci	/*
2128c2ecf20Sopenharmony_ci	 * Do last subtract, then determine which way to round if remainder
2138c2ecf20Sopenharmony_ci	 * is exactly 1/2 of opnd2
2148c2ecf20Sopenharmony_ci	 */
2158c2ecf20Sopenharmony_ci	if (Sgl_isnotlessthan(opnd1,opnd2)) {
2168c2ecf20Sopenharmony_ci		Sgl_subtract(opnd1,opnd2,opnd1);
2178c2ecf20Sopenharmony_ci		roundup = TRUE;
2188c2ecf20Sopenharmony_ci	}
2198c2ecf20Sopenharmony_ci	if (stepcount > 0 || Sgl_iszero(opnd1)) {
2208c2ecf20Sopenharmony_ci		/* division is exact, remainder is zero */
2218c2ecf20Sopenharmony_ci		Sgl_setzero_exponentmantissa(result);
2228c2ecf20Sopenharmony_ci		*dstptr = result;
2238c2ecf20Sopenharmony_ci		return(NOEXCEPTION);
2248c2ecf20Sopenharmony_ci	}
2258c2ecf20Sopenharmony_ci
2268c2ecf20Sopenharmony_ci	/*
2278c2ecf20Sopenharmony_ci	 * Check for cases where opnd1/opnd2 < n
2288c2ecf20Sopenharmony_ci	 *
2298c2ecf20Sopenharmony_ci	 * In this case the result's sign will be opposite that of
2308c2ecf20Sopenharmony_ci	 * opnd1.  The mantissa also needs some correction.
2318c2ecf20Sopenharmony_ci	 */
2328c2ecf20Sopenharmony_ci	Sgl_leftshiftby1(opnd1);
2338c2ecf20Sopenharmony_ci	if (Sgl_isgreaterthan(opnd1,opnd2)) {
2348c2ecf20Sopenharmony_ci		Sgl_invert_sign(result);
2358c2ecf20Sopenharmony_ci		Sgl_subtract((opnd2<<1),opnd1,opnd1);
2368c2ecf20Sopenharmony_ci	}
2378c2ecf20Sopenharmony_ci	/* check for remainder being exactly 1/2 of opnd2 */
2388c2ecf20Sopenharmony_ci	else if (Sgl_isequal(opnd1,opnd2) && roundup) {
2398c2ecf20Sopenharmony_ci		Sgl_invert_sign(result);
2408c2ecf20Sopenharmony_ci	}
2418c2ecf20Sopenharmony_ci
2428c2ecf20Sopenharmony_ci	/* normalize result's mantissa */
2438c2ecf20Sopenharmony_ci        while (Sgl_iszero_hidden(opnd1)) {
2448c2ecf20Sopenharmony_ci                dest_exponent--;
2458c2ecf20Sopenharmony_ci                Sgl_leftshiftby1(opnd1);
2468c2ecf20Sopenharmony_ci        }
2478c2ecf20Sopenharmony_ci	Sgl_set_exponentmantissa(result,opnd1);
2488c2ecf20Sopenharmony_ci
2498c2ecf20Sopenharmony_ci        /*
2508c2ecf20Sopenharmony_ci         * Test for underflow
2518c2ecf20Sopenharmony_ci         */
2528c2ecf20Sopenharmony_ci    testforunderflow:
2538c2ecf20Sopenharmony_ci	if (dest_exponent <= 0) {
2548c2ecf20Sopenharmony_ci                /* trap if UNDERFLOWTRAP enabled */
2558c2ecf20Sopenharmony_ci                if (Is_underflowtrap_enabled()) {
2568c2ecf20Sopenharmony_ci                        /*
2578c2ecf20Sopenharmony_ci                         * Adjust bias of result
2588c2ecf20Sopenharmony_ci                         */
2598c2ecf20Sopenharmony_ci                        Sgl_setwrapped_exponent(result,dest_exponent,unfl);
2608c2ecf20Sopenharmony_ci			*dstptr = result;
2618c2ecf20Sopenharmony_ci			/* frem is always exact */
2628c2ecf20Sopenharmony_ci			return(UNDERFLOWEXCEPTION);
2638c2ecf20Sopenharmony_ci                }
2648c2ecf20Sopenharmony_ci                /*
2658c2ecf20Sopenharmony_ci                 * denormalize result or set to signed zero
2668c2ecf20Sopenharmony_ci                 */
2678c2ecf20Sopenharmony_ci                if (dest_exponent >= (1 - SGL_P)) {
2688c2ecf20Sopenharmony_ci			Sgl_rightshift_exponentmantissa(result,1-dest_exponent);
2698c2ecf20Sopenharmony_ci                }
2708c2ecf20Sopenharmony_ci                else {
2718c2ecf20Sopenharmony_ci			Sgl_setzero_exponentmantissa(result);
2728c2ecf20Sopenharmony_ci		}
2738c2ecf20Sopenharmony_ci	}
2748c2ecf20Sopenharmony_ci	else Sgl_set_exponent(result,dest_exponent);
2758c2ecf20Sopenharmony_ci	*dstptr = result;
2768c2ecf20Sopenharmony_ci	return(NOEXCEPTION);
2778c2ecf20Sopenharmony_ci}
278