571 lines
24 KiB
C
571 lines
24 KiB
C
/* $NetBSD: dbl_float.h,v 1.2 2008/04/06 08:03:36 skrll Exp $ */
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/* $OpenBSD: dbl_float.h,v 1.5 2001/03/29 03:58:17 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/cdefs.h>
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/**************************************
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* Declare double precision functions *
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**************************************/
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/* 32-bit word grabing functions */
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#define Dbl_firstword(value) Dallp1(value)
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#define Dbl_secondword(value) Dallp2(value)
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#define Dbl_thirdword(value) dummy_location
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#define Dbl_fourthword(value) dummy_location
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#define Dbl_sign(object) Dsign(object)
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#define Dbl_exponent(object) Dexponent(object)
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#define Dbl_signexponent(object) Dsignexponent(object)
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#define Dbl_mantissap1(object) Dmantissap1(object)
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#define Dbl_mantissap2(object) Dmantissap2(object)
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#define Dbl_exponentmantissap1(object) Dexponentmantissap1(object)
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#define Dbl_allp1(object) Dallp1(object)
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#define Dbl_allp2(object) Dallp2(object)
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/* dbl_and_signs ands the sign bits of each argument and puts the result
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* into the first argument. dbl_or_signs ors those same sign bits */
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#define Dbl_and_signs( src1dst, src2) \
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Dallp1(src1dst) = (Dallp1(src2)|~(1<<31)) & Dallp1(src1dst)
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#define Dbl_or_signs( src1dst, src2) \
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Dallp1(src1dst) = (Dallp1(src2)&(1<<31)) | Dallp1(src1dst)
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/* The hidden bit is always the low bit of the exponent */
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#define Dbl_clear_exponent_set_hidden(srcdst) Deposit_dexponent(srcdst,1)
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#define Dbl_clear_signexponent_set_hidden(srcdst) \
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Deposit_dsignexponent(srcdst,1)
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#define Dbl_clear_sign(srcdst) Dallp1(srcdst) &= ~(1<<31)
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#define Dbl_clear_signexponent(srcdst) \
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Dallp1(srcdst) &= Dmantissap1((unsigned)-1)
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/* Exponent field for doubles has already been cleared and may be
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* included in the shift. Here we need to generate two double width
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* variable shifts. The insignificant bits can be ignored.
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* MTSAR f(varamount)
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* VSHD srcdst.high,srcdst.low => srcdst.low
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* VSHD 0,srcdst.high => srcdst.high
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* This is very difficult to model with C expressions since the shift amount
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* could exceed 32. */
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/* varamount must be less than 64 */
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#define Dbl_rightshift(srcdstA, srcdstB, varamount) \
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{if((varamount) >= 32) { \
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Dallp2(srcdstB) = Dallp1(srcdstA) >> (varamount-32); \
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Dallp1(srcdstA)=0; \
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} \
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else if(varamount > 0) { \
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Variable_shift_double(Dallp1(srcdstA), Dallp2(srcdstB), \
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(varamount), Dallp2(srcdstB)); \
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Dallp1(srcdstA) >>= varamount; \
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} }
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/* varamount must be less than 64 */
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#define Dbl_rightshift_exponentmantissa(srcdstA, srcdstB, varamount) \
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{if((varamount) >= 32) { \
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Dallp2(srcdstB) = Dexponentmantissap1(srcdstA) >> ((varamount)-32); \
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Dallp1(srcdstA) &= (1<<31); /* clear exponentmantissa field */ \
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} \
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else if(varamount > 0) { \
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Variable_shift_double(Dexponentmantissap1(srcdstA), Dallp2(srcdstB), \
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(varamount), Dallp2(srcdstB)); \
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Deposit_dexponentmantissap1(srcdstA, \
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(Dexponentmantissap1(srcdstA)>>(varamount))); \
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} }
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/* varamount must be less than 64 */
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#define Dbl_leftshift(srcdstA, srcdstB, varamount) \
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{if((varamount) >= 32) { \
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Dallp1(srcdstA) = Dallp2(srcdstB) << (varamount-32); \
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Dallp2(srcdstB)=0; \
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} \
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else { \
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if ((varamount) > 0) { \
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Dallp1(srcdstA) = (Dallp1(srcdstA) << (varamount)) | \
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(Dallp2(srcdstB) >> (32-(varamount))); \
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Dallp2(srcdstB) <<= varamount; \
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} \
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} }
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#define Dbl_leftshiftby1_withextent(lefta,leftb,right,resulta,resultb) \
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Shiftdouble(Dallp1(lefta), Dallp2(leftb), 31, Dallp1(resulta)); \
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Shiftdouble(Dallp2(leftb), Extall(right), 31, Dallp2(resultb))
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#define Dbl_rightshiftby1_withextent(leftb,right,dst) \
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Extall(dst) = (Dallp2(leftb) << 31) | ((unsigned)Extall(right) >> 1) | \
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Extlow(right)
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#define Dbl_arithrightshiftby1(srcdstA,srcdstB) \
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Shiftdouble(Dallp1(srcdstA),Dallp2(srcdstB),1,Dallp2(srcdstB));\
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Dallp1(srcdstA) = (int)Dallp1(srcdstA) >> 1
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/* Sign extend the sign bit with an integer destination */
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#define Dbl_signextendedsign(value) Dsignedsign(value)
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#define Dbl_isone_hidden(dbl_value) (Is_dhidden(dbl_value)!=0)
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/* Singles and doubles may include the sign and exponent fields. The
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* hidden bit and the hidden overflow must be included. */
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#define Dbl_increment(dbl_valueA,dbl_valueB) \
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if( (Dallp2(dbl_valueB) += 1) == 0 ) Dallp1(dbl_valueA) += 1
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#define Dbl_increment_mantissa(dbl_valueA,dbl_valueB) \
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if( (Dmantissap2(dbl_valueB) += 1) == 0 ) \
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Deposit_dmantissap1(dbl_valueA,dbl_valueA+1)
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#define Dbl_decrement(dbl_valueA,dbl_valueB) \
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if( Dallp2(dbl_valueB) == 0 ) Dallp1(dbl_valueA) -= 1; \
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Dallp2(dbl_valueB) -= 1
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#define Dbl_isone_sign(dbl_value) (Is_dsign(dbl_value)!=0)
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#define Dbl_isone_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)!=0)
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#define Dbl_isone_lowmantissap1(dbl_valueA) (Is_dlowp1(dbl_valueA)!=0)
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#define Dbl_isone_lowmantissap2(dbl_valueB) (Is_dlowp2(dbl_valueB)!=0)
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#define Dbl_isone_signaling(dbl_value) (Is_dsignaling(dbl_value)!=0)
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#define Dbl_is_signalingnan(dbl_value) (Dsignalingnan(dbl_value)==0xfff)
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#define Dbl_isnotzero(dbl_valueA,dbl_valueB) \
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(Dallp1(dbl_valueA) || Dallp2(dbl_valueB))
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#define Dbl_isnotzero_hiddenhigh7mantissa(dbl_value) \
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(Dhiddenhigh7mantissa(dbl_value)!=0)
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#define Dbl_isnotzero_exponent(dbl_value) (Dexponent(dbl_value)!=0)
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#define Dbl_isnotzero_mantissa(dbl_valueA,dbl_valueB) \
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(Dmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB))
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#define Dbl_isnotzero_mantissap1(dbl_valueA) (Dmantissap1(dbl_valueA)!=0)
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#define Dbl_isnotzero_mantissap2(dbl_valueB) (Dmantissap2(dbl_valueB)!=0)
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#define Dbl_isnotzero_exponentmantissa(dbl_valueA,dbl_valueB) \
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(Dexponentmantissap1(dbl_valueA) || Dmantissap2(dbl_valueB))
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#define Dbl_isnotzero_low4p2(dbl_value) (Dlow4p2(dbl_value)!=0)
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#define Dbl_iszero(dbl_valueA,dbl_valueB) (Dallp1(dbl_valueA)==0 && \
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Dallp2(dbl_valueB)==0)
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#define Dbl_iszero_allp1(dbl_value) (Dallp1(dbl_value)==0)
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#define Dbl_iszero_allp2(dbl_value) (Dallp2(dbl_value)==0)
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#define Dbl_iszero_hidden(dbl_value) (Is_dhidden(dbl_value)==0)
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#define Dbl_iszero_hiddenoverflow(dbl_value) (Is_dhiddenoverflow(dbl_value)==0)
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#define Dbl_iszero_hiddenhigh3mantissa(dbl_value) \
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(Dhiddenhigh3mantissa(dbl_value)==0)
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#define Dbl_iszero_hiddenhigh7mantissa(dbl_value) \
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(Dhiddenhigh7mantissa(dbl_value)==0)
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#define Dbl_iszero_sign(dbl_value) (Is_dsign(dbl_value)==0)
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#define Dbl_iszero_exponent(dbl_value) (Dexponent(dbl_value)==0)
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#define Dbl_iszero_mantissa(dbl_valueA,dbl_valueB) \
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(Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)
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#define Dbl_iszero_exponentmantissa(dbl_valueA,dbl_valueB) \
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(Dexponentmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)
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#define Dbl_isinfinity_exponent(dbl_value) \
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(Dexponent(dbl_value)==DBL_INFINITY_EXPONENT)
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#define Dbl_isnotinfinity_exponent(dbl_value) \
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(Dexponent(dbl_value)!=DBL_INFINITY_EXPONENT)
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#define Dbl_isinfinity(dbl_valueA,dbl_valueB) \
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(Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \
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Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0)
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#define Dbl_isnan(dbl_valueA,dbl_valueB) \
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(Dexponent(dbl_valueA)==DBL_INFINITY_EXPONENT && \
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(Dmantissap1(dbl_valueA)!=0 || Dmantissap2(dbl_valueB)!=0))
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#define Dbl_isnotnan(dbl_valueA,dbl_valueB) \
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(Dexponent(dbl_valueA)!=DBL_INFINITY_EXPONENT || \
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(Dmantissap1(dbl_valueA)==0 && Dmantissap2(dbl_valueB)==0))
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#define Dbl_islessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \
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(Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \
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(Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \
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Dallp2(dbl_op1b) < Dallp2(dbl_op2b)))
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#define Dbl_isgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \
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(Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \
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(Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \
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Dallp2(dbl_op1b) > Dallp2(dbl_op2b)))
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#define Dbl_isnotlessthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \
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(Dallp1(dbl_op1a) > Dallp1(dbl_op2a) || \
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(Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \
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Dallp2(dbl_op1b) >= Dallp2(dbl_op2b)))
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#define Dbl_isnotgreaterthan(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \
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(Dallp1(dbl_op1a) < Dallp1(dbl_op2a) || \
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(Dallp1(dbl_op1a) == Dallp1(dbl_op2a) && \
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Dallp2(dbl_op1b) <= Dallp2(dbl_op2b)))
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#define Dbl_isequal(dbl_op1a,dbl_op1b,dbl_op2a,dbl_op2b) \
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((Dallp1(dbl_op1a) == Dallp1(dbl_op2a)) && \
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(Dallp2(dbl_op1b) == Dallp2(dbl_op2b)))
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#define Dbl_leftshiftby8(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),24,Dallp1(dbl_valueA)); \
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Dallp2(dbl_valueB) <<= 8
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#define Dbl_leftshiftby7(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),25,Dallp1(dbl_valueA)); \
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Dallp2(dbl_valueB) <<= 7
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#define Dbl_leftshiftby4(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),28,Dallp1(dbl_valueA)); \
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Dallp2(dbl_valueB) <<= 4
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#define Dbl_leftshiftby3(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),29,Dallp1(dbl_valueA)); \
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Dallp2(dbl_valueB) <<= 3
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#define Dbl_leftshiftby2(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),30,Dallp1(dbl_valueA)); \
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Dallp2(dbl_valueB) <<= 2
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#define Dbl_leftshiftby1(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),31,Dallp1(dbl_valueA)); \
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Dallp2(dbl_valueB) <<= 1
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#define Dbl_rightshiftby8(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),8,Dallp2(dbl_valueB)); \
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Dallp1(dbl_valueA) >>= 8
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#define Dbl_rightshiftby4(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),4,Dallp2(dbl_valueB)); \
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Dallp1(dbl_valueA) >>= 4
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#define Dbl_rightshiftby2(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),2,Dallp2(dbl_valueB)); \
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Dallp1(dbl_valueA) >>= 2
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#define Dbl_rightshiftby1(dbl_valueA,dbl_valueB) \
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Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),1,Dallp2(dbl_valueB)); \
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Dallp1(dbl_valueA) >>= 1
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/* This magnitude comparison uses the signless first words and
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* the regular part2 words. The comparison is graphically:
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*
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* 1st greater? -------------
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* |
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* 1st less?-----------------+---------
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* | |
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* 2nd greater or equal----->| |
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* False True
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*/
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#define Dbl_ismagnitudeless(leftB,rightB,signlessleft,signlessright) \
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((signlessleft <= signlessright) && \
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( (signlessleft < signlessright) || (Dallp2(leftB)<Dallp2(rightB)) ))
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#define Dbl_copytoint_exponentmantissap1(src,dest) \
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dest = Dexponentmantissap1(src)
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/* A quiet NaN has the high mantissa bit clear and at least on other (in this
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* case the adjacent bit) bit set. */
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#define Dbl_set_quiet(dbl_value) Deposit_dhigh2mantissa(dbl_value,1)
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#define Dbl_set_exponent(dbl_value, exp) Deposit_dexponent(dbl_value,exp)
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#define Dbl_set_mantissa(desta,destb,valuea,valueb) \
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Deposit_dmantissap1(desta,valuea); \
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Dmantissap2(destb) = Dmantissap2(valueb)
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#define Dbl_set_mantissap1(desta,valuea) \
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Deposit_dmantissap1(desta,valuea)
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#define Dbl_set_mantissap2(destb,valueb) \
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Dmantissap2(destb) = Dmantissap2(valueb)
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#define Dbl_set_exponentmantissa(desta,destb,valuea,valueb) \
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Deposit_dexponentmantissap1(desta,valuea); \
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Dmantissap2(destb) = Dmantissap2(valueb)
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#define Dbl_set_exponentmantissap1(dest,value) \
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Deposit_dexponentmantissap1(dest,value)
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#define Dbl_copyfromptr(src,desta,destb) \
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Dallp1(desta) = src->wd0; \
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Dallp2(destb) = src->wd1
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#define Dbl_copytoptr(srca,srcb,dest) \
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dest->wd0 = Dallp1(srca); \
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dest->wd1 = Dallp2(srcb)
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/* An infinity is represented with the max exponent and a zero mantissa */
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#define Dbl_setinfinity_exponent(dbl_value) \
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Deposit_dexponent(dbl_value,DBL_INFINITY_EXPONENT)
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#define Dbl_setinfinity_exponentmantissa(dbl_valueA,dbl_valueB) \
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Deposit_dexponentmantissap1(dbl_valueA, \
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(DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH)))); \
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Dmantissap2(dbl_valueB) = 0
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#define Dbl_setinfinitypositive(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) \
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= (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \
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Dmantissap2(dbl_valueB) = 0
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#define Dbl_setinfinitynegative(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) = (1<<31) | \
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(DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \
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Dmantissap2(dbl_valueB) = 0
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#define Dbl_setinfinity(dbl_valueA,dbl_valueB,sign) \
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Dallp1(dbl_valueA) = (sign << 31) | \
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(DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \
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Dmantissap2(dbl_valueB) = 0
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#define Dbl_sethigh4bits(dbl_value, extsign) Deposit_dhigh4p1(dbl_value,extsign)
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#define Dbl_set_sign(dbl_value,sign) Deposit_dsign(dbl_value,sign)
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#define Dbl_invert_sign(dbl_value) Deposit_dsign(dbl_value,~Dsign(dbl_value))
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#define Dbl_setone_sign(dbl_value) Deposit_dsign(dbl_value,1)
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#define Dbl_setone_lowmantissap2(dbl_value) Deposit_dlowp2(dbl_value,1)
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#define Dbl_setzero_sign(dbl_value) Dallp1(dbl_value) &= 0x7fffffff
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#define Dbl_setzero_exponent(dbl_value) \
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Dallp1(dbl_value) &= 0x800fffff
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#define Dbl_setzero_mantissa(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) &= 0xfff00000; \
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Dallp2(dbl_valueB) = 0
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#define Dbl_setzero_mantissap1(dbl_value) Dallp1(dbl_value) &= 0xfff00000
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#define Dbl_setzero_mantissap2(dbl_value) Dallp2(dbl_value) = 0
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#define Dbl_setzero_exponentmantissa(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) &= 0x80000000; \
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Dallp2(dbl_valueB) = 0
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#define Dbl_setzero_exponentmantissap1(dbl_valueA) \
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Dallp1(dbl_valueA) &= 0x80000000
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#define Dbl_setzero(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) = 0; Dallp2(dbl_valueB) = 0
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#define Dbl_setzerop1(dbl_value) Dallp1(dbl_value) = 0
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#define Dbl_setzerop2(dbl_value) Dallp2(dbl_value) = 0
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#define Dbl_setnegativezero(dbl_value) \
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Dallp1(dbl_value) = 1 << 31; Dallp2(dbl_value) = 0
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#define Dbl_setnegativezerop1(dbl_value) Dallp1(dbl_value) = 1 << 31
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/* Use the following macro for both overflow & underflow conditions */
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#define ovfl -
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#define unfl +
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#define Dbl_setwrapped_exponent(dbl_value,exponent,op) \
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Deposit_dexponent(dbl_value,(exponent op DBL_WRAP))
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#define Dbl_setlargestpositive(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) = ((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \
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| ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ); \
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Dallp2(dbl_valueB) = 0xFFFFFFFF
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#define Dbl_setlargestnegative(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) = ((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \
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| ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ) | (1<<31); \
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Dallp2(dbl_valueB) = 0xFFFFFFFF
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#define Dbl_setlargest_exponentmantissa(dbl_valueA,dbl_valueB) \
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Deposit_dexponentmantissap1(dbl_valueA, \
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(((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \
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| ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ))); \
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Dallp2(dbl_valueB) = 0xFFFFFFFF
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#define Dbl_setnegativeinfinity(dbl_valueA,dbl_valueB) \
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Dallp1(dbl_valueA) = ((1<<DBL_EXP_LENGTH) | DBL_INFINITY_EXPONENT) \
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<< (32-(1+DBL_EXP_LENGTH)) ; \
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Dallp2(dbl_valueB) = 0
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#define Dbl_setlargest(dbl_valueA,dbl_valueB,sign) \
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Dallp1(dbl_valueA) = (sign << 31) | \
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((DBL_MAX_EXP+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) | \
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((1 << (32-(1+DBL_EXP_LENGTH))) - 1 ); \
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Dallp2(dbl_valueB) = 0xFFFFFFFF
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/* The high bit is always zero so arithmetic or logical shifts will work. */
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#define Dbl_right_align(srcdstA,srcdstB,shift,extent) \
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if( shift >= 32 ) \
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{ \
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/* Big shift requires examining the portion shift off \
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the end to properly set inexact. */ \
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if(shift < 64) \
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{ \
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if(shift > 32) \
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{ \
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Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB), \
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shift-32, Extall(extent)); \
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if(Dallp2(srcdstB) << (64 - (shift))) Ext_setone_low(extent); \
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} \
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else Extall(extent) = Dallp2(srcdstB); \
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Dallp2(srcdstB) = Dallp1(srcdstA) >> (shift - 32); \
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} \
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else \
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{ \
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Extall(extent) = Dallp1(srcdstA); \
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if(Dallp2(srcdstB)) Ext_setone_low(extent); \
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Dallp2(srcdstB) = 0; \
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} \
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Dallp1(srcdstA) = 0; \
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} \
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else \
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{ \
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/* Small alignment is simpler. Extension is easily set. */ \
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if (shift > 0) \
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{ \
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Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \
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Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB),shift, \
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Dallp2(srcdstB)); \
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Dallp1(srcdstA) >>= shift; \
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} \
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else Extall(extent) = 0; \
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}
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/*
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* Here we need to shift the result right to correct for an overshift
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* (due to the exponent becoming negative) during normalization.
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*/
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#define Dbl_fix_overshift(srcdstA,srcdstB,shift,extent) \
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Extall(extent) = Dallp2(srcdstB) << (32 - (shift)); \
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Dallp2(srcdstB) = (Dallp1(srcdstA) << (32 - (shift))) | \
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(Dallp2(srcdstB) >> (shift)); \
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Dallp1(srcdstA) = Dallp1(srcdstA) >> shift
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#define Dbl_hiddenhigh3mantissa(dbl_value) Dhiddenhigh3mantissa(dbl_value)
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#define Dbl_hidden(dbl_value) Dhidden(dbl_value)
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#define Dbl_lowmantissap2(dbl_value) Dlowp2(dbl_value)
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/* The left argument is never smaller than the right argument */
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#define Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb) \
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if( Dallp2(rightb) > Dallp2(leftb) ) Dallp1(lefta)--; \
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Dallp2(resultb) = Dallp2(leftb) - Dallp2(rightb); \
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Dallp1(resulta) = Dallp1(lefta) - Dallp1(righta)
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|
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/* Subtract right augmented with extension from left augmented with zeros and
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* store into result and extension. */
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#define Dbl_subtract_withextension(lefta,leftb,righta,rightb,extent,resulta,resultb) \
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Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb); \
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if( (Extall(extent) = 0-Extall(extent)) ) \
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{ \
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if((Dallp2(resultb)--) == 0) Dallp1(resulta)--; \
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}
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#define Dbl_addition(lefta,leftb,righta,rightb,resulta,resultb) \
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/* If the sum of the low words is less than either source, then \
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* an overflow into the next word occurred. */ \
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Dallp1(resulta) = Dallp1(lefta) + Dallp1(righta); \
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if((Dallp2(resultb) = Dallp2(leftb) + Dallp2(rightb)) < Dallp2(rightb)) \
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Dallp1(resulta)++
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#define Dbl_xortointp1(left,right,result) \
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result = Dallp1(left) XOR Dallp1(right)
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#define Dbl_xorfromintp1(left,right,result) \
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Dallp1(result) = left XOR Dallp1(right)
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#define Dbl_swap_lower(left,right) \
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Dallp2(left) = Dallp2(left) XOR Dallp2(right); \
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Dallp2(right) = Dallp2(left) XOR Dallp2(right); \
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|
Dallp2(left) = Dallp2(left) XOR Dallp2(right)
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|
|
|
/* Need to Initialize */
|
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#define Dbl_makequietnan(desta,destb) \
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Dallp1(desta) = ((DBL_MAX_EXP+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \
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| (1<<(32-(1+DBL_EXP_LENGTH+2))); \
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Dallp2(destb) = 0
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#define Dbl_makesignalingnan(desta,destb) \
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Dallp1(desta) = ((DBL_MAX_EXP+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \
|
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| (1<<(32-(1+DBL_EXP_LENGTH+1))); \
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|
Dallp2(destb) = 0
|
|
|
|
#define Dbl_normalize(dbl_opndA,dbl_opndB,exponent) \
|
|
while(Dbl_iszero_hiddenhigh7mantissa(dbl_opndA)) { \
|
|
Dbl_leftshiftby8(dbl_opndA,dbl_opndB); \
|
|
exponent -= 8; \
|
|
} \
|
|
if(Dbl_iszero_hiddenhigh3mantissa(dbl_opndA)) { \
|
|
Dbl_leftshiftby4(dbl_opndA,dbl_opndB); \
|
|
exponent -= 4; \
|
|
} \
|
|
while(Dbl_iszero_hidden(dbl_opndA)) { \
|
|
Dbl_leftshiftby1(dbl_opndA,dbl_opndB); \
|
|
exponent -= 1; \
|
|
}
|
|
|
|
#define Twoword_add(src1dstA,src1dstB,src2A,src2B) \
|
|
/* \
|
|
* want this macro to generate: \
|
|
* ADD src1dstB,src2B,src1dstB; \
|
|
* ADDC src1dstA,src2A,src1dstA; \
|
|
*/ \
|
|
if ((src1dstB) + (src2B) < (src1dstB)) Dallp1(src1dstA)++; \
|
|
Dallp1(src1dstA) += (src2A); \
|
|
Dallp2(src1dstB) += (src2B)
|
|
|
|
#define Twoword_subtract(src1dstA,src1dstB,src2A,src2B) \
|
|
/* \
|
|
* want this macro to generate: \
|
|
* SUB src1dstB,src2B,src1dstB; \
|
|
* SUBB src1dstA,src2A,src1dstA; \
|
|
*/ \
|
|
if ((src1dstB) < (src2B)) Dallp1(src1dstA)--; \
|
|
Dallp1(src1dstA) -= (src2A); \
|
|
Dallp2(src1dstB) -= (src2B)
|
|
|
|
#define Dbl_setoverflow(resultA,resultB) \
|
|
/* set result to infinity or largest number */ \
|
|
switch (Rounding_mode()) { \
|
|
case ROUNDPLUS: \
|
|
if (Dbl_isone_sign(resultA)) { \
|
|
Dbl_setlargestnegative(resultA,resultB); \
|
|
} \
|
|
else { \
|
|
Dbl_setinfinitypositive(resultA,resultB); \
|
|
} \
|
|
break; \
|
|
case ROUNDMINUS: \
|
|
if (Dbl_iszero_sign(resultA)) { \
|
|
Dbl_setlargestpositive(resultA,resultB); \
|
|
} \
|
|
else { \
|
|
Dbl_setinfinitynegative(resultA,resultB); \
|
|
} \
|
|
break; \
|
|
case ROUNDNEAREST: \
|
|
Dbl_setinfinity_exponentmantissa(resultA,resultB); \
|
|
break; \
|
|
case ROUNDZERO: \
|
|
Dbl_setlargest_exponentmantissa(resultA,resultB); \
|
|
}
|
|
|
|
#define Dbl_denormalize(opndp1,opndp2,exponent,guard,sticky,inexact) \
|
|
Dbl_clear_signexponent_set_hidden(opndp1); \
|
|
if (exponent >= (1-DBL_P)) { \
|
|
if (exponent >= -31) { \
|
|
guard = (Dallp2(opndp2) >> (-(exponent))) & 1; \
|
|
if (exponent < 0) sticky |= Dallp2(opndp2) << (32+exponent); \
|
|
if (exponent > -31) { \
|
|
Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \
|
|
Dallp1(opndp1) >>= 1-exponent; \
|
|
} \
|
|
else { \
|
|
Dallp2(opndp2) = Dallp1(opndp1); \
|
|
Dbl_setzerop1(opndp1); \
|
|
} \
|
|
} \
|
|
else { \
|
|
guard = (Dallp1(opndp1) >> (-32-(exponent))) & 1; \
|
|
if (exponent == -32) sticky |= Dallp2(opndp2); \
|
|
else sticky |= (Dallp2(opndp2) | Dallp1(opndp1) << (64+(exponent))); \
|
|
Dallp2(opndp2) = Dallp1(opndp1) >> (-31-(exponent)); \
|
|
Dbl_setzerop1(opndp1); \
|
|
} \
|
|
inexact = guard | sticky; \
|
|
} \
|
|
else { \
|
|
guard = 0; \
|
|
sticky |= (Dallp1(opndp1) | Dallp2(opndp2)); \
|
|
Dbl_setzero(opndp1,opndp2); \
|
|
inexact = sticky; \
|
|
}
|
|
|
|
|
|
int dbl_fadd(dbl_floating_point *, dbl_floating_point*, dbl_floating_point*, unsigned int *);
|
|
int dbl_fcmp(dbl_floating_point *, dbl_floating_point*, unsigned int, unsigned int *);
|
|
int dbl_fdiv(dbl_floating_point *, dbl_floating_point *, dbl_floating_point *, unsigned int *);
|
|
int dbl_fmpy(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *);
|
|
int dbl_frem(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *);
|
|
int dbl_fsqrt(dbl_floating_point *, dbl_floating_point *, unsigned int *);
|
|
int dbl_fsub(dbl_floating_point *, dbl_floating_point *, dbl_floating_point*, unsigned int *);
|
|
|
|
dbl_floating_point dbl_setoverflow(unsigned int);
|
|
|
|
int sgl_to_dbl_fcnvff(sgl_floating_point *, dbl_floating_point *, unsigned int *);
|
|
int dbl_to_sgl_fcnvff(dbl_floating_point *, sgl_floating_point *, unsigned int *);
|
|
|
|
int dbl_frnd(dbl_floating_point *, dbl_floating_point *, unsigned int *);
|