395 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			395 lines
		
	
	
		
			12 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/dfmpy.c		$Revision: 1.1 $
 | |
|  *
 | |
|  *  Purpose:
 | |
|  *	Double Precision Floating-point Multiply
 | |
|  *
 | |
|  *  External Interfaces:
 | |
|  *	dbl_fmpy(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 Multiply
 | |
|  */
 | |
| 
 | |
| int
 | |
| dbl_fmpy(
 | |
| 	    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 opnd3p1, opnd3p2, resultp1, resultp2;
 | |
| 	register int dest_exponent, count;
 | |
| 	register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
 | |
| 	boolean is_tiny;
 | |
| 
 | |
| 	Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
 | |
| 	Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
 | |
| 
 | |
| 	/* 
 | |
| 	 * set sign bit of result 
 | |
| 	 */
 | |
| 	if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1)) 
 | |
| 		Dbl_setnegativezerop1(resultp1); 
 | |
| 	else Dbl_setzerop1(resultp1);
 | |
| 	/*
 | |
| 	 * check first operand for NaN's or infinity
 | |
| 	 */
 | |
| 	if (Dbl_isinfinity_exponent(opnd1p1)) {
 | |
| 		if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
 | |
| 			if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
 | |
| 				if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
 | |
| 					/* 
 | |
| 					 * invalid since operands are infinity 
 | |
| 					 * and zero 
 | |
| 					 */
 | |
| 					if (Is_invalidtrap_enabled())
 | |
|                                 		return(INVALIDEXCEPTION);
 | |
|                                 	Set_invalidflag();
 | |
|                                 	Dbl_makequietnan(resultp1,resultp2);
 | |
| 					Dbl_copytoptr(resultp1,resultp2,dstptr);
 | |
| 					return(NOEXCEPTION);
 | |
| 				}
 | |
| 				/*
 | |
| 			 	 * return infinity
 | |
| 			 	 */
 | |
| 				Dbl_setinfinity_exponentmantissa(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 (Dbl_isinfinity_exponent(opnd2p1)) {
 | |
| 		if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
 | |
| 			if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
 | |
| 				/* invalid since operands are zero & infinity */
 | |
| 				if (Is_invalidtrap_enabled())
 | |
|                                 	return(INVALIDEXCEPTION);
 | |
|                                 Set_invalidflag();
 | |
|                                 Dbl_makequietnan(opnd2p1,opnd2p2);
 | |
| 				Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
 | |
| 				return(NOEXCEPTION);
 | |
| 			}
 | |
| 			/*
 | |
| 			 * return infinity
 | |
| 			 */
 | |
| 			Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
 | |
| 			Dbl_copytoptr(resultp1,resultp2,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);
 | |
| 	}
 | |
| 	/*
 | |
| 	 * Generate exponent 
 | |
| 	 */
 | |
| 	dest_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) -DBL_BIAS;
 | |
| 
 | |
| 	/*
 | |
| 	 * Generate mantissa
 | |
| 	 */
 | |
| 	if (Dbl_isnotzero_exponent(opnd1p1)) {
 | |
| 		/* set hidden bit */
 | |
| 		Dbl_clear_signexponent_set_hidden(opnd1p1);
 | |
| 	}
 | |
| 	else {
 | |
| 		/* check for zero */
 | |
| 		if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
 | |
| 			Dbl_setzero_exponentmantissa(resultp1,resultp2);
 | |
| 			Dbl_copytoptr(resultp1,resultp2,dstptr);
 | |
| 			return(NOEXCEPTION);
 | |
| 		}
 | |
|                 /* is denormalized, adjust exponent */
 | |
|                 Dbl_clear_signexponent(opnd1p1);
 | |
|                 Dbl_leftshiftby1(opnd1p1,opnd1p2);
 | |
| 		Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
 | |
| 	}
 | |
| 	/* opnd2 needs to have hidden bit set with msb in hidden bit */
 | |
| 	if (Dbl_isnotzero_exponent(opnd2p1)) {
 | |
| 		Dbl_clear_signexponent_set_hidden(opnd2p1);
 | |
| 	}
 | |
| 	else {
 | |
| 		/* check for zero */
 | |
| 		if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
 | |
| 			Dbl_setzero_exponentmantissa(resultp1,resultp2);
 | |
| 			Dbl_copytoptr(resultp1,resultp2,dstptr);
 | |
| 			return(NOEXCEPTION);
 | |
| 		}
 | |
|                 /* is denormalized; want to normalize */
 | |
|                 Dbl_clear_signexponent(opnd2p1);
 | |
|                 Dbl_leftshiftby1(opnd2p1,opnd2p2);
 | |
| 		Dbl_normalize(opnd2p1,opnd2p2,dest_exponent);
 | |
| 	}
 | |
| 
 | |
| 	/* Multiply two source mantissas together */
 | |
| 
 | |
| 	/* make room for guard bits */
 | |
| 	Dbl_leftshiftby7(opnd2p1,opnd2p2);
 | |
| 	Dbl_setzero(opnd3p1,opnd3p2);
 | |
|         /* 
 | |
|          * Four bits at a time are inspected in each loop, and a 
 | |
|          * simple shift and add multiply algorithm is used. 
 | |
|          */ 
 | |
| 	for (count=1;count<=DBL_P;count+=4) {
 | |
| 		stickybit |= Dlow4p2(opnd3p2);
 | |
| 		Dbl_rightshiftby4(opnd3p1,opnd3p2);
 | |
| 		if (Dbit28p2(opnd1p2)) {
 | |
| 	 		/* Twoword_add should be an ADDC followed by an ADD. */
 | |
|                         Twoword_add(opnd3p1, opnd3p2, opnd2p1<<3 | opnd2p2>>29, 
 | |
| 				    opnd2p2<<3);
 | |
| 		}
 | |
| 		if (Dbit29p2(opnd1p2)) {
 | |
|                         Twoword_add(opnd3p1, opnd3p2, opnd2p1<<2 | opnd2p2>>30, 
 | |
| 				    opnd2p2<<2);
 | |
| 		}
 | |
| 		if (Dbit30p2(opnd1p2)) {
 | |
|                         Twoword_add(opnd3p1, opnd3p2, opnd2p1<<1 | opnd2p2>>31,
 | |
| 				    opnd2p2<<1);
 | |
| 		}
 | |
| 		if (Dbit31p2(opnd1p2)) {
 | |
|                         Twoword_add(opnd3p1, opnd3p2, opnd2p1, opnd2p2);
 | |
| 		}
 | |
| 		Dbl_rightshiftby4(opnd1p1,opnd1p2);
 | |
| 	}
 | |
| 	if (Dbit3p1(opnd3p1)==0) {
 | |
| 		Dbl_leftshiftby1(opnd3p1,opnd3p2);
 | |
| 	}
 | |
| 	else {
 | |
| 		/* result mantissa >= 2. */
 | |
| 		dest_exponent++;
 | |
| 	}
 | |
| 	/* check for denormalized result */
 | |
| 	while (Dbit3p1(opnd3p1)==0) {
 | |
| 		Dbl_leftshiftby1(opnd3p1,opnd3p2);
 | |
| 		dest_exponent--;
 | |
| 	}
 | |
| 	/*
 | |
| 	 * check for guard, sticky and inexact bits 
 | |
| 	 */
 | |
| 	stickybit |= Dallp2(opnd3p2) << 25;
 | |
| 	guardbit = (Dallp2(opnd3p2) << 24) >> 31;
 | |
| 	inexact = guardbit | stickybit;
 | |
| 
 | |
| 	/* align result mantissa */
 | |
| 	Dbl_rightshiftby8(opnd3p1,opnd3p2);
 | |
| 
 | |
| 	/* 
 | |
| 	 * round result 
 | |
| 	 */
 | |
| 	if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) {
 | |
| 		Dbl_clear_signexponent(opnd3p1);
 | |
| 		switch (Rounding_mode()) {
 | |
| 			case ROUNDPLUS: 
 | |
| 				if (Dbl_iszero_sign(resultp1)) 
 | |
| 					Dbl_increment(opnd3p1,opnd3p2);
 | |
| 				break;
 | |
| 			case ROUNDMINUS: 
 | |
| 				if (Dbl_isone_sign(resultp1)) 
 | |
| 					Dbl_increment(opnd3p1,opnd3p2);
 | |
| 				break;
 | |
| 			case ROUNDNEAREST:
 | |
| 				if (guardbit) {
 | |
| 			   	if (stickybit || Dbl_isone_lowmantissap2(opnd3p2))
 | |
| 			      	Dbl_increment(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 		}
 | |
| 		if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
 | |
| 	}
 | |
| 	Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
 | |
| 
 | |
|         /* 
 | |
|          * Test for overflow
 | |
|          */
 | |
| 	if (dest_exponent >= DBL_INFINITY_EXPONENT) {
 | |
|                 /* trap if OVERFLOWTRAP enabled */
 | |
|                 if (Is_overflowtrap_enabled()) {
 | |
|                         /*
 | |
|                          * Adjust bias of result
 | |
|                          */
 | |
| 			Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
 | |
| 			Dbl_copytoptr(resultp1,resultp2,dstptr);
 | |
| 			if (inexact) 
 | |
| 			    if (Is_inexacttrap_enabled())
 | |
| 				return (OVERFLOWEXCEPTION | INEXACTEXCEPTION);
 | |
| 			    else Set_inexactflag();
 | |
| 			return (OVERFLOWEXCEPTION);
 | |
|                 }
 | |
| 		inexact = TRUE;
 | |
| 		Set_overflowflag();
 | |
|                 /* set result to infinity or largest number */
 | |
| 		Dbl_setoverflow(resultp1,resultp2);
 | |
| 	}
 | |
|         /* 
 | |
|          * Test for underflow
 | |
|          */
 | |
| 	else if (dest_exponent <= 0) {
 | |
|                 /* trap if UNDERFLOWTRAP enabled */
 | |
|                 if (Is_underflowtrap_enabled()) {
 | |
|                         /*
 | |
|                          * Adjust bias of result
 | |
|                          */
 | |
| 			Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
 | |
| 			Dbl_copytoptr(resultp1,resultp2,dstptr);
 | |
| 			if (inexact) 
 | |
| 			    if (Is_inexacttrap_enabled())
 | |
| 				return (UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
 | |
| 			    else Set_inexactflag();
 | |
| 			return (UNDERFLOWEXCEPTION);
 | |
|                 }
 | |
| 
 | |
| 		/* Determine if should set underflow flag */
 | |
| 		is_tiny = TRUE;
 | |
| 		if (dest_exponent == 0 && inexact) {
 | |
| 			switch (Rounding_mode()) {
 | |
| 			case ROUNDPLUS: 
 | |
| 				if (Dbl_iszero_sign(resultp1)) {
 | |
| 					Dbl_increment(opnd3p1,opnd3p2);
 | |
| 					if (Dbl_isone_hiddenoverflow(opnd3p1))
 | |
|                 			    is_tiny = FALSE;
 | |
| 					Dbl_decrement(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 				break;
 | |
| 			case ROUNDMINUS: 
 | |
| 				if (Dbl_isone_sign(resultp1)) {
 | |
| 					Dbl_increment(opnd3p1,opnd3p2);
 | |
| 					if (Dbl_isone_hiddenoverflow(opnd3p1))
 | |
|                 			    is_tiny = FALSE;
 | |
| 					Dbl_decrement(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 				break;
 | |
| 			case ROUNDNEAREST:
 | |
| 				if (guardbit && (stickybit || 
 | |
| 				    Dbl_isone_lowmantissap2(opnd3p2))) {
 | |
| 				      	Dbl_increment(opnd3p1,opnd3p2);
 | |
| 					if (Dbl_isone_hiddenoverflow(opnd3p1))
 | |
|                 			    is_tiny = FALSE;
 | |
| 					Dbl_decrement(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 				break;
 | |
| 			}
 | |
| 		}
 | |
| 
 | |
| 		/*
 | |
| 		 * denormalize result or set to signed zero
 | |
| 		 */
 | |
| 		stickybit = inexact;
 | |
| 		Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
 | |
| 		 stickybit,inexact);
 | |
| 
 | |
| 		/* return zero or smallest number */
 | |
| 		if (inexact) {
 | |
| 			switch (Rounding_mode()) {
 | |
| 			case ROUNDPLUS: 
 | |
| 				if (Dbl_iszero_sign(resultp1)) {
 | |
| 					Dbl_increment(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 				break;
 | |
| 			case ROUNDMINUS: 
 | |
| 				if (Dbl_isone_sign(resultp1)) {
 | |
| 					Dbl_increment(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 				break;
 | |
| 			case ROUNDNEAREST:
 | |
| 				if (guardbit && (stickybit || 
 | |
| 				    Dbl_isone_lowmantissap2(opnd3p2))) {
 | |
| 			      		Dbl_increment(opnd3p1,opnd3p2);
 | |
| 				}
 | |
| 				break;
 | |
| 			}
 | |
|                 	if (is_tiny) Set_underflowflag();
 | |
| 		}
 | |
| 		Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
 | |
| 	}
 | |
| 	else Dbl_set_exponent(resultp1,dest_exponent);
 | |
| 	/* check for inexact */
 | |
| 	Dbl_copytoptr(resultp1,resultp2,dstptr);
 | |
| 	if (inexact) {
 | |
| 		if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
 | |
| 		else Set_inexactflag();
 | |
| 	}
 | |
| 	return(NOEXCEPTION);
 | |
| }
 |