298 lines
		
	
	
	
		
			8.8 KiB
			
		
	
	
	
		
			C
		
	
	
	
	
	
		
		
			
		
	
	
			298 lines
		
	
	
	
		
			8.8 KiB
			
		
	
	
	
		
			C
		
	
	
	
	
	
|   | /*
 | ||
|  |  * Linux/PA-RISC Project (http://www.parisc-linux.org/)
 | ||
|  |  * | ||
|  |  * Floating-point emulation code | ||
|  |  *  Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> | ||
|  |  * | ||
|  |  *    This program is free software; you can redistribute it and/or modify | ||
|  |  *    it under the terms of the GNU General Public License as published by | ||
|  |  *    the Free Software Foundation; either version 2, or (at your option) | ||
|  |  *    any later version. | ||
|  |  * | ||
|  |  *    This program is distributed in the hope that it will be useful, | ||
|  |  *    but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
|  |  *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | ||
|  |  *    GNU General Public License for more details. | ||
|  |  * | ||
|  |  *    You should have received a copy of the GNU General Public License | ||
|  |  *    along with this program; if not, write to the Free Software | ||
|  |  *    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA | ||
|  |  */ | ||
|  | /*
 | ||
|  |  * BEGIN_DESC | ||
|  |  * | ||
|  |  *  File: | ||
|  |  *	@(#)	pa/spmath/dfrem.c		$Revision: 1.1 $ | ||
|  |  * | ||
|  |  *  Purpose: | ||
|  |  *	Double Precision Floating-point Remainder | ||
|  |  * | ||
|  |  *  External Interfaces: | ||
|  |  *	dbl_frem(srcptr1,srcptr2,dstptr,status) | ||
|  |  * | ||
|  |  *  Internal Interfaces: | ||
|  |  * | ||
|  |  *  Theory: | ||
|  |  *	<<please update with a overview of the operation of this file>> | ||
|  |  * | ||
|  |  * END_DESC | ||
|  | */ | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  | #include "float.h"
 | ||
|  | #include "dbl_float.h"
 | ||
|  | 
 | ||
|  | /*
 | ||
|  |  *  Double Precision Floating-point Remainder | ||
|  |  */ | ||
|  | 
 | ||
|  | int | ||
|  | dbl_frem (dbl_floating_point * srcptr1, dbl_floating_point * srcptr2, | ||
|  | 	  dbl_floating_point * 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 boolean 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); | ||
|  | } |