version 1.1, 1999/12/03 07:39:11 |
version 1.27, 2017/08/31 02:36:21 |
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/* $OpenXM: OpenXM/src/asir99/parse/arith.c,v 1.2 1999/11/18 05:42:02 noro Exp $ */ |
/* |
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* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED |
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* All rights reserved. |
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* |
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* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited, |
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* non-exclusive and royalty-free license to use, copy, modify and |
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* redistribute, solely for non-commercial and non-profit purposes, the |
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* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and |
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* conditions of this Agreement. For the avoidance of doubt, you acquire |
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* only a limited right to use the SOFTWARE hereunder, and FLL or any |
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* third party developer retains all rights, including but not limited to |
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* copyrights, in and to the SOFTWARE. |
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* |
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* (1) FLL does not grant you a license in any way for commercial |
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* purposes. You may use the SOFTWARE only for non-commercial and |
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* non-profit purposes only, such as academic, research and internal |
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* business use. |
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* (2) The SOFTWARE is protected by the Copyright Law of Japan and |
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* international copyright treaties. If you make copies of the SOFTWARE, |
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* with or without modification, as permitted hereunder, you shall affix |
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* to all such copies of the SOFTWARE the above copyright notice. |
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* (3) An explicit reference to this SOFTWARE and its copyright owner |
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* shall be made on your publication or presentation in any form of the |
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* results obtained by use of the SOFTWARE. |
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* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
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* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification |
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* for such modification or the source code of the modified part of the |
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* SOFTWARE. |
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* |
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* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL |
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* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND |
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* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS |
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* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES' |
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* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY |
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* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY. |
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* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT, |
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* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY |
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* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL |
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* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES |
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* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES |
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* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY |
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* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF |
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* SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART |
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* OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
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* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
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* |
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* $OpenXM: OpenXM_contrib2/asir2000/parse/arith.c,v 1.26 2005/12/10 14:14:15 noro Exp $ |
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*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
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Line 16 struct oARF arf[6]; |
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Line 64 struct oARF arf[6]; |
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ARF addfs, subfs, mulfs, divfs, remfs, pwrfs; |
ARF addfs, subfs, mulfs, divfs, remfs, pwrfs; |
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void divsdc(); |
void divsdc(); |
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int compqa(); |
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int compquote(); |
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int compvoid(); |
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struct oAFUNC afunc[] = { |
struct oAFUNC afunc0[] = { |
/* ??? */ {0,0,0,0,0,0,0}, |
/* O_VOID=-1 */ {notdef,notdef,notdef,notdef,notdef,notdef,compvoid}, |
/* O_N */ {addnum,subnum,mulnum,divnum,pwrnum,chsgnnum,compnum}, |
/* ???=0 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
/* O_P */ {addp,subp,mulp,divr,pwrp,chsgnp,compp}, |
/* O_N=1 */ {addnum,subnum,mulnum,divnum,pwrnum,chsgnnum,compnum}, |
/* O_R */ {addr,subr,mulr,divr,pwrr,chsgnr,compr}, |
/* O_P=2 */ {addp,subp,mulp,divr,pwrp,chsgnp,compp}, |
/* O_LIST */ {notdef,notdef,notdef,notdef,notdef,notdef,complist}, |
/* O_R=3 */ {addr,subr,mulr,divr,pwrr,chsgnr,compr}, |
/* O_VECT */ {addvect,subvect,mulvect,divvect,notdef,chsgnvect,compvect}, |
/* O_LIST=4 */ {notdef,notdef,notdef,notdef,notdef,notdef,complist}, |
/* O_MAT */ {addmat,submat,mulmat,divmat,pwrmat,chsgnmat,compmat}, |
/* O_VECT=5 */ {addvect,subvect,mulvect,divvect,notdef,chsgnvect,compvect}, |
/* O_STR */ {addstr,notdef,notdef,notdef,notdef,notdef,compstr}, |
/* O_MAT=6 */ {addmat,submat,mulmat,divmat,pwrmat,chsgnmat,compmat}, |
/* O_COMP */ {addcomp,subcomp,mulcomp,divcomp,pwrcomp,chsgncomp,compcomp}, |
/* O_STR=7 */ {addstr,notdef,notdef,notdef,notdef,notdef,compstr}, |
/* O_DP */ {addd,subd,muld,divsdc,notdef,chsgnd,compd}, |
/* O_COMP=8 */ {addcomp,subcomp,mulcomp,divcomp,pwrcomp,chsgncomp,compcomp}, |
/* O_UI */ {notdef,notdef,notdef,notdef,notdef,notdef,compui}, |
/* O_DP=9 */ {addd,subd,muld,divdc,notdef,chsgnd,compd}, |
/* O_GF2MAT */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
/* O_USINT=10 */ {notdef,notdef,notdef,notdef,notdef,notdef,compui}, |
/* O_ERR */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
/* O_ERR=11 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
/* O_GFMMAT */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
/* O_GF2MAT=12 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_MATHCAP=13 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_F=14 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_GFMMAT=15 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_BYTEARRAY=16 */ {notdef,notdef,notdef,notdef,notdef,notdef,compbytearray}, |
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/* O_QUOTE=17 */ {addquote,subquote,mulquote,divquote,pwrquote,chsgnquote,compquote}, |
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/* O_OPTLIST=18 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_SYMBOL=19 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_RANGE=20 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_TB=21 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef}, |
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/* O_DPV=22 */ {adddv,subdv,muldv,notdef,notdef,chsgndv,compdv}, |
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/* O_QUOTEARG=23 */ {notdef,notdef,notdef,notdef,notdef,notdef,compqa}, |
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/* O_MAT=24 */ {AddMatI,SubMatI,MulMatG,notdef,notdef,ChsgnI,(int(*)())notdef}, |
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/* O_NBP=25 */ {addnbp,subnbp,mulnbp,notdef,pwrnbp,chsgnnbp,compnbp}, |
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/* O_DPM=26 */ {adddpm,subdpm,mulobjdpm,notdef,notdef,chsgndpm,compdpm}, |
}; |
}; |
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struct oAFUNC *afunc = &afunc0[1]; |
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void arf_init() { |
void arf_init() { |
addfs = &arf[0]; addfs->name = "+"; addfs->fp = arf_add; |
addfs = &arf[0]; addfs->name = "+"; addfs->fp = arf_add; |
subfs = &arf[1]; subfs->name = "-"; subfs->fp = arf_sub; |
subfs = &arf[1]; subfs->name = "-"; subfs->fp = arf_sub; |
Line 43 void arf_init() { |
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Line 110 void arf_init() { |
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pwrfs = &arf[5]; pwrfs->name = "^"; pwrfs->fp = arf_pwr; |
pwrfs = &arf[5]; pwrfs->name = "^"; pwrfs->fp = arf_pwr; |
} |
} |
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void arf_add(vl,a,b,r) |
void arf_add(VL vl,Obj a,Obj b,Obj *r) |
VL vl; |
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Obj a,b,*r; |
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{ |
{ |
int mid; |
int mid; |
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*r = a; |
*r = a; |
else if ( OID(a) == OID(b) ) |
else if ( OID(a) == OID(b) ) |
(*afunc[OID(a)].add)(vl,a,b,r); |
(*afunc[OID(a)].add)(vl,a,b,r); |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R ) |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R || mid == O_QUOTE ) |
(*afunc[mid].add)(vl,a,b,r); |
(*afunc[mid].add)(vl,a,b,r); |
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else if ( (mid = MAX(OID(a),OID(b))) == O_DP && MIN(OID(a),OID(b)) <= O_R ) |
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(*afunc[mid].add)(vl,a,b,r); |
else |
else |
notdef(vl,a,b,r); |
notdef(vl,a,b,r); |
} |
} |
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void arf_sub(vl,a,b,r) |
void arf_sub(VL vl,Obj a,Obj b,Obj *r) |
VL vl; |
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Obj a,b,*r; |
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{ |
{ |
int mid; |
int mid; |
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*r = a; |
*r = a; |
else if ( OID(a) == OID(b) ) |
else if ( OID(a) == OID(b) ) |
(*afunc[OID(a)].sub)(vl,a,b,r); |
(*afunc[OID(a)].sub)(vl,a,b,r); |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R ) |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R || mid == O_QUOTE ) |
(*afunc[mid].sub)(vl,a,b,r); |
(*afunc[mid].sub)(vl,a,b,r); |
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else if ( (mid = MAX(OID(a),OID(b))) == O_DP && MIN(OID(a),OID(b)) <= O_R ) |
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(*afunc[mid].sub)(vl,a,b,r); |
else |
else |
notdef(vl,a,b,r); |
notdef(vl,a,b,r); |
} |
} |
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void arf_mul(vl,a,b,r) |
void arf_mul(VL vl,Obj a,Obj b,Obj *r) |
VL vl; |
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Obj a,b,*r; |
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{ |
{ |
int mid; |
int mid,aid,bid; |
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if ( !a || !b ) |
if ( !a && !b ) |
*r = 0; |
*r = 0; |
else if ( OID(a) == OID(b) ) |
else if ( !a || !b ) { |
(*(afunc[OID(a)].mul))(vl,a,b,r); |
if ( !a ) a = b; |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R || |
/* compute a*0 */ |
(mid == O_MAT) || (mid == O_VECT) || (mid == O_DP) ) |
if ( OID(a) == O_MAT || OID(a) == O_VECT ) |
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(*(afunc[O_MAT].mul))(vl,a,0,r); |
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else if ( OID(a) == O_IMAT ) |
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(*(afunc[O_IMAT].mul))(vl,0,a,r); |
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else |
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*r = 0; |
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} else if ( (aid = OID(a)) == (bid = OID(b)) ) |
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(*(afunc[aid].mul))(vl,a,b,r); |
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else if ( (mid = MAX(aid,bid)) <= O_R || mid == O_QUOTE ) |
(*afunc[mid].mul)(vl,a,b,r); |
(*afunc[mid].mul)(vl,a,b,r); |
else |
else { |
notdef(vl,a,b,r); |
switch ( aid ) { |
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case O_N: case O_P: case O_NBP: |
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(*afunc[mid].mul)(vl,a,b,r); |
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break; |
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case O_R: |
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/* rat * something; bid > O_R */ |
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if ( bid == O_VECT || bid == O_MAT || bid == O_DP ) |
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(*afunc[mid].mul)(vl,a,b,r); |
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else |
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notdef(vl,a,b,r); |
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break; |
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case O_MAT: |
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if ( bid <= O_R || bid == O_VECT || bid == O_DP ) |
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(*afunc[O_MAT].mul)(vl,a,b,r); |
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else |
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notdef(vl,a,b,r); |
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break; |
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case O_VECT: |
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if ( bid <= O_R || bid == O_DP ) |
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(*afunc[O_VECT].mul)(vl,a,b,r); |
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else if ( bid == O_MAT ) |
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(*afunc[O_MAT].mul)(vl,a,b,r); |
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else |
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notdef(vl,a,b,r); |
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break; |
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case O_DP: |
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if ( bid <= O_R ) |
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(*afunc[O_DP].mul)(vl,a,b,r); |
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else if ( bid == O_MAT || bid == O_VECT || bid == O_DPV || bid == O_DPM ) |
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(*afunc[bid].mul)(vl,a,b,r); |
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else |
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notdef(vl,a,b,r); |
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break; |
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case O_IMAT: |
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(*afunc[O_IMAT].mul)(vl,a,b,r); |
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break; |
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default: |
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notdef(vl,a,b,r); |
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break; |
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} |
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} |
} |
} |
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void arf_div(vl,a,b,r) |
void arf_div(VL vl,Obj a,Obj b,Obj *r) |
VL vl; |
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Obj a,b,*r; |
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{ |
{ |
int mid; |
int mid; |
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else if ( (OID(a) == OID(b)) ) |
else if ( (OID(a) == OID(b)) ) |
(*(afunc[OID(a)].div))(vl,a,b,r); |
(*(afunc[OID(a)].div))(vl,a,b,r); |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R || |
else if ( (mid = MAX(OID(a),OID(b))) <= O_R || |
(mid == O_MAT) || (mid == O_VECT) || (mid == O_DP) ) |
(mid == O_MAT) || (mid == O_VECT) || (mid == O_DP) || mid == O_QUOTE ) |
(*afunc[mid].div)(vl,a,b,r); |
(*afunc[mid].div)(vl,a,b,r); |
else |
else |
notdef(vl,a,b,r); |
notdef(vl,a,b,r); |
} |
} |
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void arf_remain(vl,a,b,r) |
void arf_remain(VL vl,Obj a,Obj b,Obj *r) |
VL vl; |
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Obj a,b,*r; |
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{ |
{ |
if ( !b ) |
if ( !b ) |
error("rem : division by 0"); |
error("rem : division by 0"); |
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notdef(vl,a,b,r); |
notdef(vl,a,b,r); |
} |
} |
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void arf_pwr(vl,a,e,r) |
int allow_laurent; |
VL vl; |
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Obj a,e,*r; |
void arf_pwr(VL vl,Obj a,Obj e,Obj *r) |
{ |
{ |
R t; |
R t; |
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if ( !a ) |
if ( !a ) { |
*r = 0; |
if ( !e ) |
else if ( !e ) |
*r = (pointer)ONE; |
*r = (pointer)ONE; |
else if ( RATN(e) && SGN((Q)e)>0 ) |
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*r = 0; |
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else |
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mkpow(vl,a,e,r); |
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} else if ( !e ) { |
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if ( OID(a) == O_MAT ) |
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(*(afunc[O_MAT].pwr))(vl,a,e,r); |
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else |
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*r = (pointer)ONE; |
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} else if ( OID(a) == O_QUOTE || OID(e) == O_QUOTE ) |
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(*(afunc[O_QUOTE].pwr))(vl,a,e,r); |
else if ( (OID(e) <= O_N) && INT(e) ) { |
else if ( (OID(e) <= O_N) && INT(e) ) { |
if ( (OID(a) == O_P) && (SGN((Q)e) < 0) ) { |
if ( (OID(a) == O_P) && (SGN((Q)e) < 0) ) { |
MKRAT((P)a,(P)ONE,1,t); |
if ( allow_laurent ) |
(*(afunc[O_R].pwr))(vl,t,e,r); |
(*(afunc[O_P].pwr))(vl,a,e,r); |
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else { |
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MKRAT((P)a,(P)ONE,1,t); |
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(*(afunc[O_R].pwr))(vl,t,e,r); |
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} |
} else |
} else |
(*(afunc[OID(a)].pwr))(vl,a,e,r); |
(*(afunc[OID(a)].pwr))(vl,a,e,r); |
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} else if ( (OID(e) <= O_N) && RATN(e) ) { |
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if ( (OID(a) == O_P) && allow_laurent ) |
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(*(afunc[O_P].pwr))(vl,a,e,r); |
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else if ( OID(a) <= O_R ) |
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mkpow(vl,a,e,r); |
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else |
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notdef(vl,a,e,r); |
} else if ( OID(a) <= O_R ) |
} else if ( OID(a) <= O_R ) |
mkpow(vl,a,e,r); |
mkpow(vl,a,e,r); |
else |
else |
notdef(vl,a,e,r); |
notdef(vl,a,e,r); |
} |
} |
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void arf_chsgn(a,r) |
void arf_chsgn(Obj a,Obj *r) |
Obj a,*r; |
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{ |
{ |
if ( !a ) |
if ( !a ) |
*r = 0; |
*r = 0; |
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(*(afunc[OID(a)].chsgn))(a,r); |
(*(afunc[OID(a)].chsgn))(a,r); |
} |
} |
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int arf_comp(vl,a,b) |
int arf_comp(VL vl,Obj a,Obj b) |
VL vl; |
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Obj a,b; |
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{ |
{ |
if ( !a ) |
if ( !a ) |
if ( !b ) |
if ( !b ) |
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return (*afunc[OID(a)].comp)(vl,a,b); |
return (*afunc[OID(a)].comp)(vl,a,b); |
} |
} |
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int complist(vl,a,b) |
int complist(VL vl,LIST a,LIST b) |
VL vl; |
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LIST a,b; |
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{ |
{ |
int i,t; |
int t; |
NODE an,bn; |
NODE an,bn; |
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if ( !a ) |
if ( !a ) |
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return -1; |
return -1; |
else if ( !b ) |
else if ( !b ) |
return 1; |
return 1; |
for ( i = 0, an = BDY(a); an; i++, an = NEXT(an) ); |
for ( an = BDY(a), bn = BDY(b); an && bn; an = NEXT(an), bn = NEXT(bn) ); |
for ( an = BDY(b); an; i--, an = NEXT(an) ); |
if ( an && !bn ) |
if ( i ) |
return 1; |
return i > 0 ? 1 : -1; |
else if ( !an && bn ) |
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return -1; |
for ( an = BDY(a), bn = BDY(b); an; an = NEXT(an), bn = NEXT(bn) ) |
for ( an = BDY(a), bn = BDY(b); an; an = NEXT(an), bn = NEXT(bn) ) |
if ( t = arf_comp(vl,BDY(an),BDY(bn)) ) |
if ( t = arf_comp(vl,BDY(an),BDY(bn)) ) |
return t; |
return t; |
return 0; |
return 0; |
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} |
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int compvoid(VL vl,Obj a,Obj b) |
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{ |
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if ( !a ) |
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if ( !b ) return 0; |
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else return -1; |
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else if ( !b ) |
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return 1; |
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else if ( OID(a) > OID(b) ) return 1; |
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else if ( OID(b) < OID(a) ) return -1; |
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else return 0; |
} |
} |