503 lines
20 KiB
C
503 lines
20 KiB
C
/* $NetBSD: float.h,v 1.4 2009/01/27 11:49:54 skrll Exp $ */
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/* $OpenBSD: float.h,v 1.7 2004/01/02 14:39:01 mickey Exp $ */
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/*
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* Copyright 1996 1995 by Open Software Foundation, Inc.
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* All Rights Reserved
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*
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* Permission to use, copy, modify, and distribute this software and
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* its documentation for any purpose and without fee is hereby granted,
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* provided that the above copyright notice appears in all copies and
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* that both the copyright notice and this permission notice appear in
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* supporting documentation.
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*
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* OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
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* INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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* FOR A PARTICULAR PURPOSE.
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*
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* IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
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* CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
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* LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
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* NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
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* WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*/
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/*
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* pmk1.1
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*/
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/*
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* (c) Copyright 1986 HEWLETT-PACKARD COMPANY
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*
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* To anyone who acknowledges that this file is provided "AS IS"
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* without any express or implied warranty:
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* permission to use, copy, modify, and distribute this file
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* for any purpose is hereby granted without fee, provided that
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* the above copyright notice and this notice appears in all
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* copies, and that the name of Hewlett-Packard Company not be
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* used in advertising or publicity pertaining to distribution
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* of the software without specific, written prior permission.
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* Hewlett-Packard Company makes no representations about the
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* suitability of this software for any purpose.
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*/
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#include <sys/types.h>
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#include <machine/float.h>
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#include "../spmath/fpbits.h"
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#include "../spmath/hppa.h"
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/*
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* Declare the basic structures for the 3 different
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* floating-point precisions.
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*
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* Single number
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |s| exp | mantissa |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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#define Sall(object) (object)
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#define Ssign(object) Bitfield_extract( 0, 1,object)
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#define Ssignedsign(object) Bitfield_signed_extract( 0, 1,object)
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#define Sexponent(object) Bitfield_extract( 1, 8,object)
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#define Smantissa(object) Bitfield_mask( 9, 23,object)
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#define Ssignaling(object) Bitfield_extract( 9, 1,object)
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#define Ssignalingnan(object) Bitfield_extract( 1, 9,object)
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#define Shigh2mantissa(object) Bitfield_extract( 9, 2,object)
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#define Sexponentmantissa(object) Bitfield_mask( 1, 31,object)
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#define Ssignexponent(object) Bitfield_extract( 0, 9,object)
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#define Shidden(object) Bitfield_extract( 8, 1,object)
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#define Shiddenoverflow(object) Bitfield_extract( 7, 1,object)
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#define Shiddenhigh7mantissa(object) Bitfield_extract( 8, 8,object)
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#define Shiddenhigh3mantissa(object) Bitfield_extract( 8, 4,object)
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#define Slow(object) Bitfield_mask( 31, 1,object)
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#define Slow4(object) Bitfield_mask( 28, 4,object)
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#define Slow31(object) Bitfield_mask( 1, 31,object)
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#define Shigh31(object) Bitfield_extract( 0, 31,object)
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#define Ssignedhigh31(object) Bitfield_signed_extract( 0, 31,object)
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#define Shigh4(object) Bitfield_extract( 0, 4,object)
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#define Sbit24(object) Bitfield_extract( 24, 1,object)
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#define Sbit28(object) Bitfield_extract( 28, 1,object)
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#define Sbit29(object) Bitfield_extract( 29, 1,object)
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#define Sbit30(object) Bitfield_extract( 30, 1,object)
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#define Sbit31(object) Bitfield_mask( 31, 1,object)
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#define Deposit_ssign(object,value) Bitfield_deposit(value,0,1,object)
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#define Deposit_sexponent(object,value) Bitfield_deposit(value,1,8,object)
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#define Deposit_smantissa(object,value) Bitfield_deposit(value,9,23,object)
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#define Deposit_shigh2mantissa(object,value) Bitfield_deposit(value,9,2,object)
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#define Deposit_sexponentmantissa(object,value) \
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Bitfield_deposit(value,1,31,object)
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#define Deposit_ssignexponent(object,value) Bitfield_deposit(value,0,9,object)
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#define Deposit_slow(object,value) Bitfield_deposit(value,31,1,object)
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#define Deposit_shigh4(object,value) Bitfield_deposit(value,0,4,object)
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#define Is_ssign(object) Bitfield_mask( 0, 1,object)
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#define Is_ssignaling(object) Bitfield_mask( 9, 1,object)
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#define Is_shidden(object) Bitfield_mask( 8, 1,object)
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#define Is_shiddenoverflow(object) Bitfield_mask( 7, 1,object)
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#define Is_slow(object) Bitfield_mask( 31, 1,object)
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#define Is_sbit24(object) Bitfield_mask( 24, 1,object)
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#define Is_sbit28(object) Bitfield_mask( 28, 1,object)
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#define Is_sbit29(object) Bitfield_mask( 29, 1,object)
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#define Is_sbit30(object) Bitfield_mask( 30, 1,object)
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#define Is_sbit31(object) Bitfield_mask( 31, 1,object)
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/*
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* Double number.
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |s| exponent | mantissa part 1 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | mantissa part 2 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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#define Dallp1(object) (object)
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#define Dsign(object) Bitfield_extract( 0, 1,object)
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#define Dsignedsign(object) Bitfield_signed_extract( 0, 1,object)
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#define Dexponent(object) Bitfield_extract( 1, 11,object)
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#define Dmantissap1(object) Bitfield_mask( 12, 20,object)
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#define Dsignaling(object) Bitfield_extract( 12, 1,object)
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#define Dsignalingnan(object) Bitfield_extract( 1, 12,object)
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#define Dhigh2mantissa(object) Bitfield_extract( 12, 2,object)
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#define Dexponentmantissap1(object) Bitfield_mask( 1, 31,object)
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#define Dsignexponent(object) Bitfield_extract( 0, 12,object)
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#define Dhidden(object) Bitfield_extract( 11, 1,object)
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#define Dhiddenoverflow(object) Bitfield_extract( 10, 1,object)
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#define Dhiddenhigh7mantissa(object) Bitfield_extract( 11, 8,object)
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#define Dhiddenhigh3mantissa(object) Bitfield_extract( 11, 4,object)
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#define Dlowp1(object) Bitfield_mask( 31, 1,object)
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#define Dlow31p1(object) Bitfield_mask( 1, 31,object)
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#define Dhighp1(object) Bitfield_extract( 0, 1,object)
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#define Dhigh4p1(object) Bitfield_extract( 0, 4,object)
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#define Dhigh31p1(object) Bitfield_extract( 0, 31,object)
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#define Dsignedhigh31p1(object) Bitfield_signed_extract( 0, 31,object)
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#define Dbit3p1(object) Bitfield_extract( 3, 1,object)
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#define Deposit_dsign(object,value) Bitfield_deposit(value,0,1,object)
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#define Deposit_dexponent(object,value) Bitfield_deposit(value,1,11,object)
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#define Deposit_dmantissap1(object,value) Bitfield_deposit(value,12,20,object)
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#define Deposit_dhigh2mantissa(object,value) Bitfield_deposit(value,12,2,object)
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#define Deposit_dexponentmantissap1(object,value) \
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Bitfield_deposit(value,1,31,object)
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#define Deposit_dsignexponent(object,value) Bitfield_deposit(value,0,12,object)
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#define Deposit_dlowp1(object,value) Bitfield_deposit(value,31,1,object)
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#define Deposit_dhigh4p1(object,value) Bitfield_deposit(value,0,4,object)
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#define Is_dsign(object) Bitfield_mask( 0, 1,object)
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#define Is_dsignaling(object) Bitfield_mask( 12, 1,object)
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#define Is_dhidden(object) Bitfield_mask( 11, 1,object)
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#define Is_dhiddenoverflow(object) Bitfield_mask( 10, 1,object)
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#define Is_dlowp1(object) Bitfield_mask( 31, 1,object)
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#define Is_dhighp1(object) Bitfield_mask( 0, 1,object)
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#define Is_dbit3p1(object) Bitfield_mask( 3, 1,object)
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#define Dallp2(object) (object)
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#define Dmantissap2(object) (object)
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#define Dlowp2(object) Bitfield_mask( 31, 1,object)
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#define Dlow4p2(object) Bitfield_mask( 28, 4,object)
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#define Dlow31p2(object) Bitfield_mask( 1, 31,object)
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#define Dhighp2(object) Bitfield_extract( 0, 1,object)
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#define Dhigh31p2(object) Bitfield_extract( 0, 31,object)
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#define Dbit2p2(object) Bitfield_extract( 2, 1,object)
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#define Dbit3p2(object) Bitfield_extract( 3, 1,object)
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#define Dbit21p2(object) Bitfield_extract( 21, 1,object)
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#define Dbit28p2(object) Bitfield_extract( 28, 1,object)
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#define Dbit29p2(object) Bitfield_extract( 29, 1,object)
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#define Dbit30p2(object) Bitfield_extract( 30, 1,object)
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#define Dbit31p2(object) Bitfield_mask( 31, 1,object)
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#define Deposit_dlowp2(object,value) Bitfield_deposit(value,31,1,object)
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#define Is_dlowp2(object) Bitfield_mask( 31, 1,object)
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#define Is_dhighp2(object) Bitfield_mask( 0, 1,object)
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#define Is_dbit2p2(object) Bitfield_mask( 2, 1,object)
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#define Is_dbit3p2(object) Bitfield_mask( 3, 1,object)
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#define Is_dbit21p2(object) Bitfield_mask( 21, 1,object)
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#define Is_dbit28p2(object) Bitfield_mask( 28, 1,object)
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#define Is_dbit29p2(object) Bitfield_mask( 29, 1,object)
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#define Is_dbit30p2(object) Bitfield_mask( 30, 1,object)
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#define Is_dbit31p2(object) Bitfield_mask( 31, 1,object)
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/*
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* Quad number.
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |s| exponent | mantissa part 1 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | mantissa part 2 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | mantissa part 3 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | mantissa part 4 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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typedef struct
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{
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union
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{
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struct { unsigned qallp1; } u_qallp1;
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/* Not needed for now...
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Bitfield_extract( 0, 1,u_qsign,qsign)
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Bitfield_signed_extract( 0, 1,u_qsignedsign,qsignedsign)
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Bitfield_extract( 1, 15,u_qexponent,qexponent)
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Bitfield_extract(16, 16,u_qmantissap1,qmantissap1)
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Bitfield_extract(16, 1,u_qsignaling,qsignaling)
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Bitfield_extract(1, 16,u_qsignalingnan,qsignalingnan)
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Bitfield_extract(16, 2,u_qhigh2mantissa,qhigh2mantissa)
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Bitfield_extract( 1, 31,u_qexponentmantissap1,qexponentmantissap1)
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Bitfield_extract( 0, 16,u_qsignexponent,qsignexponent)
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Bitfield_extract(15, 1,u_qhidden,qhidden)
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Bitfield_extract(14, 1,u_qhiddenoverflow,qhiddenoverflow)
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Bitfield_extract(15, 8,u_qhiddenhigh7mantissa,qhiddenhigh7mantissa)
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Bitfield_extract(15, 4,u_qhiddenhigh3mantissa,qhiddenhigh3mantissa)
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Bitfield_extract(31, 1,u_qlowp1,qlowp1)
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Bitfield_extract( 1, 31,u_qlow31p1,qlow31p1)
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Bitfield_extract( 0, 1,u_qhighp1,qhighp1)
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Bitfield_extract( 0, 4,u_qhigh4p1,qhigh4p1)
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Bitfield_extract( 0, 31,u_qhigh31p1,qhigh31p1)
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*/
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} quad_u1;
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union
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{
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struct { unsigned qallp2; } u_qallp2;
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/* Not needed for now...
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Bitfield_extract(31, 1,u_qlowp2,qlowp2)
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Bitfield_extract( 1, 31,u_qlow31p2,qlow31p2)
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Bitfield_extract( 0, 1,u_qhighp2,qhighp2)
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Bitfield_extract( 0, 31,u_qhigh31p2,qhigh31p2)
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*/
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} quad_u2;
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union
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{
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struct { unsigned qallp3; } u_qallp3;
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/* Not needed for now...
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Bitfield_extract(31, 1,u_qlowp3,qlowp3)
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Bitfield_extract( 1, 31,u_qlow31p3,qlow31p3)
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Bitfield_extract( 0, 1,u_qhighp3,qhighp3)
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Bitfield_extract( 0, 31,u_qhigh31p3,qhigh31p3)
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*/
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} quad_u3;
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union
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{
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struct { unsigned qallp4; } u_qallp4;
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/* Not need for now...
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Bitfield_extract(31, 1,u_qlowp4,qlowp4)
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Bitfield_extract( 1, 31,u_qlow31p4,qlow31p4)
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Bitfield_extract( 0, 1,u_qhighp4,qhighp4)
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Bitfield_extract( 0, 31,u_qhigh31p4,qhigh31p4)
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*/
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} quad_u4;
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} quad_floating_point;
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/* Extension - An additional structure to hold the guard, round and
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* sticky bits during computations.
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*/
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#define Extall(object) (object)
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#define Extsign(object) Bitfield_extract( 0, 1,object)
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#define Exthigh31(object) Bitfield_extract( 0, 31,object)
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#define Extlow31(object) Bitfield_extract( 1, 31,object)
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#define Extlow(object) Bitfield_extract( 31, 1,object)
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/*
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* Declare the basic structures for the 3 different
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* fixed-point precisions.
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*
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* Single number
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |s| integer |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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typedef int sgl_integer;
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/*
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* Double number.
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |s| high integer |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | low integer |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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struct dint {
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int wd0;
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unsigned int wd1;
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};
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struct dblwd {
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unsigned int wd0;
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unsigned int wd1;
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};
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/*
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* Quad number.
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |s| integer part1 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | integer part 2 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | integer part 3 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | integer part 4 |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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struct quadwd {
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int wd0;
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unsigned int wd1;
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unsigned int wd2;
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unsigned int wd3;
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};
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typedef struct quadwd quad_integer;
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/* useful typedefs */
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typedef int sgl_floating_point;
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typedef struct dblwd dbl_floating_point;
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typedef struct dint dbl_integer;
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/*
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* Define the different precisions' parameters.
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*/
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#define SGL_BITLENGTH 32
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#define SGL_EMAX 127
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#define SGL_BIAS 127
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#define SGL_WRAP 192
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#define SGL_INFINITY_EXPONENT (SGL_EMAX+SGL_BIAS+1)
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#define SGL_THRESHOLD 32
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#define SGL_EXP_LENGTH 8
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#define SGL_P 24
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#define DBL_BITLENGTH 64
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#define DBL_EMAX 1023
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#define DBL_BIAS 1023
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#define DBL_WRAP 1536
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#define DBL_INFINITY_EXPONENT (DBL_EMAX+DBL_BIAS+1)
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#define DBL_THRESHOLD 64
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#define DBL_EXP_LENGTH 11
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#define DBL_P 53
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#define QUAD_BITLENGTH 128
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#define QUAD_EMAX 16383
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#define QUAD_BIAS 16383
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#define QUAD_WRAP 24576
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#define QUAD_INFINITY_EXPONENT (QUAD_EMAX+QUAD_BIAS+1)
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#define QUAD_P 113
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/* Boolean Values etc. */
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#define NOT !
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#define XOR ^
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/* Declare status register equivalent to FPUs architecture.
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*
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* 0 1 2 3 4 5 6 7 8 910 1 2 3 4 5 6 7 8 920 1 2 3 4 5 6 7 8 930 1
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |V|Z|O|U|I|C| rsv | model | version |RM |rsv|T|r|V|Z|O|U|I|
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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#define Cbit(object) Bitfield_extract( 5, 1,object)
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#define Tbit(object) Bitfield_extract( 25, 1,object)
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#define Roundingmode(object) Bitfield_extract( 21, 2,object)
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#define Invalidtrap(object) Bitfield_extract( 27, 1,object)
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#define Divisionbyzerotrap(object) Bitfield_extract( 28, 1,object)
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#define Overflowtrap(object) Bitfield_extract( 29, 1,object)
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#define Underflowtrap(object) Bitfield_extract( 30, 1,object)
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#define Inexacttrap(object) Bitfield_extract( 31, 1,object)
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#define Invalidflag(object) Bitfield_extract( 0, 1,object)
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#define Divisionbyzeroflag(object) Bitfield_extract( 1, 1,object)
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#define Overflowflag(object) Bitfield_extract( 2, 1,object)
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#define Underflowflag(object) Bitfield_extract( 3, 1,object)
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#define Inexactflag(object) Bitfield_extract( 4, 1,object)
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#define Allflags(object) Bitfield_extract( 0, 5,object)
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/* Definitions relevant to the status register */
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/* Rounding Modes */
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#define ROUNDNEAREST 0
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#define ROUNDZERO 1
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#define ROUNDPLUS 2
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#define ROUNDMINUS 3
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/* Exceptions */
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#define NOEXCEPTION 0x0
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#define INVALIDEXCEPTION 0x20
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#define DIVISIONBYZEROEXCEPTION 0x10
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#define OVERFLOWEXCEPTION 0x08
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#define UNDERFLOWEXCEPTION 0x04
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#define INEXACTEXCEPTION 0x02
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#define UNIMPLEMENTEDEXCEPTION 0x01
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/* Declare exception registers equivalent to FPUs architecture
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*
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* 0 1 2 3 4 5 6 7 8 910 1 2 3 4 5 6 7 8 920 1 2 3 4 5 6 7 8 930 1
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* |excepttype | r1 | r2/ext | operation |parm |n| t/cond |
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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#define Allexception(object) (object)
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#define Exceptiontype(object) Bitfield_extract( 0, 6,object)
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#define Instructionfield(object) Bitfield_mask( 6,26,object)
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#define Parmfield(object) Bitfield_extract( 23, 3,object)
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#define Rabit(object) Bitfield_extract( 24, 1,object)
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#define Ibit(object) Bitfield_extract( 25, 1,object)
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#define Set_exceptiontype(object,value) Bitfield_deposit(value, 0, 6,object)
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#define Set_parmfield(object,value) Bitfield_deposit(value, 23, 3,object)
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#define Set_exceptiontype_and_instr_field(exception,instruction,object) \
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object = ((exception) << 26) | (instruction)
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/* Declare the condition field
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*
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* 0 1 2 3 4 5 6 7 8 910 1 2 3 4 5 6 7 8 920 1 2 3 4 5 6 7 8 930 1
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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* | |G|L|E|U|X|
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* +-------+-------+-------+-------+-------+-------+-------+-------+
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*/
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#define Allexception(object) (object)
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#define Greaterthanbit(object) Bitfield_extract( 27, 1,object)
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#define Lessthanbit(object) Bitfield_extract( 28, 1,object)
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#define Equalbit(object) Bitfield_extract( 29, 1,object)
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#define Unorderedbit(object) Bitfield_extract( 30, 1,object)
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#define Exceptionbit(object) Bitfield_extract( 31, 1,object)
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/* An alias name for the status register */
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#define Fpustatus_register (*status)
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/**************************************************
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* Status register referencing and manipulation. *
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**************************************************/
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/* Rounding mode */
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#define Rounding_mode() Roundingmode(Fpustatus_register)
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#define Is_rounding_mode(rmode) \
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(Roundingmode(Fpustatus_register) == rmode)
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#define Set_rounding_mode(value) \
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Bitfield_deposit(value,21,2,Fpustatus_register)
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/* Boolean testing of the trap enable bits */
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#define Is_invalidtrap_enabled() Invalidtrap(Fpustatus_register)
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#define Is_divisionbyzerotrap_enabled() Divisionbyzerotrap(Fpustatus_register)
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#define Is_overflowtrap_enabled() Overflowtrap(Fpustatus_register)
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#define Is_underflowtrap_enabled() Underflowtrap(Fpustatus_register)
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#define Is_inexacttrap_enabled() Inexacttrap(Fpustatus_register)
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/* Set the indicated flags in the status register */
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#define Set_invalidflag() Bitfield_deposit(1,0,1,Fpustatus_register)
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#define Set_divisionbyzeroflag() Bitfield_deposit(1,1,1,Fpustatus_register)
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#define Set_overflowflag() Bitfield_deposit(1,2,1,Fpustatus_register)
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#define Set_underflowflag() Bitfield_deposit(1,3,1,Fpustatus_register)
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#define Set_inexactflag() Bitfield_deposit(1,4,1,Fpustatus_register)
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#define Clear_all_flags() Bitfield_deposit(0,0,5,Fpustatus_register)
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/* Manipulate the trap and condition code bits (tbit and cbit) */
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#define Set_tbit() Bitfield_deposit(1,25,1,Fpustatus_register)
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#define Clear_tbit() Bitfield_deposit(0,25,1,Fpustatus_register)
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#define Is_tbit_set() Tbit(Fpustatus_register)
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#define Is_cbit_set() Cbit(Fpustatus_register)
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#ifdef TIMEX
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#define Set_status_cbit(value) \
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Bitfield_deposit(Bitfield_extract(10,10,Fpustatus_register),11,10,Fpustatus_register); \
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Bitfield_deposit(Bitfield_extract(5,1,Fpustatus_register),10,1,Fpustatus_register); \
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Bitfield_deposit(value,5,1,Fpustatus_register)
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#else
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#define Set_status_cbit(value) Bitfield_deposit(value,5,1,Fpustatus_register)
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#endif
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/*******************************
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* Condition field referencing *
|
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*******************************/
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#define Unordered(cond) Unorderedbit(cond)
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#define Equal(cond) Equalbit(cond)
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#define Lessthan(cond) Lessthanbit(cond)
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#define Greaterthan(cond) Greaterthanbit(cond)
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#define Exception(cond) Exceptionbit(cond)
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/* Defines for the extension */
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#define Ext_isone_sign(extent) (Extsign(extent))
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#define Ext_isnotzero(extent) \
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(Extall(extent))
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#define Ext_isnotzero_lower(extent) \
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(Extlow31(extent))
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#define Ext_leftshiftby1(extent) \
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Extall(extent) <<= 1
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#define Ext_negate(extent) \
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(int )Extall(extent) = 0 - (int )Extall(extent)
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#define Ext_setone_low(extent) Bitfield_deposit(1,31,1,extent)
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