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Annotation of OpenXM_contrib2/asir2000/parse/arith.c, Revision 1.22

1.2       noro        1: /*
                      2:  * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
                      3:  * All rights reserved.
                      4:  *
                      5:  * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
                      6:  * non-exclusive and royalty-free license to use, copy, modify and
                      7:  * redistribute, solely for non-commercial and non-profit purposes, the
                      8:  * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
                      9:  * conditions of this Agreement. For the avoidance of doubt, you acquire
                     10:  * only a limited right to use the SOFTWARE hereunder, and FLL or any
                     11:  * third party developer retains all rights, including but not limited to
                     12:  * copyrights, in and to the SOFTWARE.
                     13:  *
                     14:  * (1) FLL does not grant you a license in any way for commercial
                     15:  * purposes. You may use the SOFTWARE only for non-commercial and
                     16:  * non-profit purposes only, such as academic, research and internal
                     17:  * business use.
                     18:  * (2) The SOFTWARE is protected by the Copyright Law of Japan and
                     19:  * international copyright treaties. If you make copies of the SOFTWARE,
                     20:  * with or without modification, as permitted hereunder, you shall affix
                     21:  * to all such copies of the SOFTWARE the above copyright notice.
                     22:  * (3) An explicit reference to this SOFTWARE and its copyright owner
                     23:  * shall be made on your publication or presentation in any form of the
                     24:  * results obtained by use of the SOFTWARE.
                     25:  * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.3       noro       26:  * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.2       noro       27:  * for such modification or the source code of the modified part of the
                     28:  * SOFTWARE.
                     29:  *
                     30:  * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
                     31:  * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
                     32:  * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
                     33:  * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
                     34:  * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
                     35:  * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
                     36:  * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
                     37:  * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
                     38:  * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
                     39:  * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
                     40:  * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
                     41:  * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
                     42:  * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
                     43:  * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
                     44:  * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
                     45:  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
                     46:  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
                     47:  *
1.22    ! noro       48:  * $OpenXM: OpenXM_contrib2/asir2000/parse/arith.c,v 1.21 2005/09/27 03:00:21 noro Exp $
1.2       noro       49: */
1.1       noro       50: #include "ca.h"
                     51: #include "parse.h"
                     52:
                     53: struct oAFUNC {
                     54:        void (*add)();
                     55:        void (*sub)();
                     56:        void (*mul)();
                     57:        void (*div)();
                     58:        void (*pwr)();
                     59:        void (*chsgn)();
                     60:        int (*comp)();
                     61: };
                     62:
                     63: struct oARF arf[6];
                     64: ARF addfs, subfs, mulfs, divfs, remfs, pwrfs;
                     65:
                     66: void divsdc();
1.20      noro       67: int compqa();
                     68: int compquote();
1.1       noro       69:
                     70: struct oAFUNC afunc[] = {
1.4       noro       71: /* ???=0 */    {0,0,0,0,0,0,0},
                     72: /* O_N=1 */    {addnum,subnum,mulnum,divnum,pwrnum,chsgnnum,compnum},
                     73: /* O_P=2 */    {addp,subp,mulp,divr,pwrp,chsgnp,compp},
                     74: /* O_R=3 */    {addr,subr,mulr,divr,pwrr,chsgnr,compr},
                     75: /* O_LIST=4 */ {notdef,notdef,notdef,notdef,notdef,notdef,complist},
                     76: /* O_VECT=5 */ {addvect,subvect,mulvect,divvect,notdef,chsgnvect,compvect},
                     77: /* O_MAT=6 */  {addmat,submat,mulmat,divmat,pwrmat,chsgnmat,compmat},
                     78: /* O_STR=7 */  {addstr,notdef,notdef,notdef,notdef,notdef,compstr},
                     79: /* O_COMP=8 */ {addcomp,subcomp,mulcomp,divcomp,pwrcomp,chsgncomp,compcomp},
                     80: /* O_DP=9 */   {addd,subd,muld,divsdc,notdef,chsgnd,compd},
                     81: /* O_USINT=10 */       {notdef,notdef,notdef,notdef,notdef,notdef,compui},
                     82: /* O_ERR=11 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     83: /* O_GF2MAT=12 */      {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     84: /* O_MATHCAP=13 */     {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     85: /* O_F=14 */   {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     86: /* O_GFMMAT=15 */      {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     87: /* O_BYTEARRAY=16 */   {notdef,notdef,notdef,notdef,notdef,notdef,compbytearray},
1.20      noro       88: /* O_QUOTE=17 */       {addquote,subquote,mulquote,divquote,pwrquote,chsgnquote,compquote},
1.11      noro       89: /* O_OPTLIST=18 */     {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     90: /* O_SYMBOL=19 */      {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
1.12      noro       91: /* O_RANGE=20 */       {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
                     92: /* O_TB=21 */  {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
1.14      noro       93: /* O_DPV=22 */ {adddv,subdv,muldv,notdef,notdef,chsgndv,compdv},
1.20      noro       94: /* O_QUOTEARG=23 */    {notdef,notdef,notdef,notdef,notdef,notdef,compqa},
1.19      saito      95: /* O_MAT=24 */ {AddMatI,SubMatI,MulMatG,notdef,notdef,ChsgnI,(int(*)())notdef},
1.1       noro       96: };
                     97:
                     98: void arf_init() {
                     99:        addfs = &arf[0]; addfs->name = "+"; addfs->fp = arf_add;
                    100:        subfs = &arf[1]; subfs->name = "-"; subfs->fp = arf_sub;
                    101:        mulfs = &arf[2]; mulfs->name = "*"; mulfs->fp = arf_mul;
                    102:        divfs = &arf[3]; divfs->name = "/"; divfs->fp = arf_div;
                    103:        remfs = &arf[4]; remfs->name = "%"; remfs->fp = arf_remain;
                    104:        pwrfs = &arf[5]; pwrfs->name = "^"; pwrfs->fp = arf_pwr;
                    105: }
                    106:
                    107: void arf_add(vl,a,b,r)
                    108: VL vl;
                    109: Obj a,b,*r;
                    110: {
                    111:        int mid;
                    112:
                    113:        if ( !a )
                    114:                *r = b;
                    115:        else if ( !b )
                    116:                *r = a;
                    117:        else if ( OID(a) == OID(b) )
                    118:                (*afunc[OID(a)].add)(vl,a,b,r);
1.21      noro      119:        else if ( (mid = MAX(OID(a),OID(b))) <= O_R || mid == O_QUOTE )
1.13      ohara     120:                (*afunc[mid].add)(vl,a,b,r);
                    121:        else if ( (mid = MAX(OID(a),OID(b))) == O_DP && MIN(OID(a),OID(b)) <= O_R )
1.1       noro      122:                (*afunc[mid].add)(vl,a,b,r);
                    123:        else
                    124:                notdef(vl,a,b,r);
                    125: }
                    126:
                    127: void arf_sub(vl,a,b,r)
                    128: VL vl;
                    129: Obj a,b,*r;
                    130: {
                    131:        int mid;
                    132:
                    133:        if ( !a )
                    134:                if ( !b )
                    135:                        *r = 0;
                    136:                else
                    137:                        (*afunc[OID(b)].chsgn)(b,r);
                    138:        else if ( !b )
                    139:                *r = a;
                    140:        else if ( OID(a) == OID(b) )
                    141:                (*afunc[OID(a)].sub)(vl,a,b,r);
1.21      noro      142:        else if ( (mid = MAX(OID(a),OID(b))) <= O_R || mid == O_QUOTE )
1.15      ohara     143:                (*afunc[mid].sub)(vl,a,b,r);
                    144:        else if ( (mid = MAX(OID(a),OID(b))) == O_DP && MIN(OID(a),OID(b)) <= O_R )
1.1       noro      145:                (*afunc[mid].sub)(vl,a,b,r);
                    146:        else
                    147:                notdef(vl,a,b,r);
                    148: }
                    149:
                    150: void arf_mul(vl,a,b,r)
                    151: VL vl;
                    152: Obj a,b,*r;
                    153: {
1.10      noro      154:        int mid,aid,bid;
1.1       noro      155:
1.9       noro      156:        if ( !a && !b )
1.1       noro      157:                *r = 0;
1.9       noro      158:        else if ( !a || !b ) {
1.18      saito     159:                if ( !a ) a = b;
1.9       noro      160:                /* compute a*0 */
                    161:                if ( OID(a) == O_MAT || OID(a) == O_VECT )
                    162:                        (*(afunc[O_MAT].mul))(vl,a,0,r);
1.18      saito     163:                else if ( OID(a) == O_IMAT )
                    164:                        (*(afunc[O_IMAT].mul))(vl,0,a,r);
1.9       noro      165:                else
                    166:                        *r = 0;
1.10      noro      167:        } else if ( (aid = OID(a)) == (bid = OID(b)) )
                    168:                (*(afunc[aid].mul))(vl,a,b,r);
1.21      noro      169:        else if ( (mid = MAX(aid,bid)) <= O_R || mid == O_QUOTE )
1.1       noro      170:                (*afunc[mid].mul)(vl,a,b,r);
1.10      noro      171:        else {
                    172:                switch ( aid ) {
                    173:                        case O_N: case O_P:
                    174:                                (*afunc[mid].mul)(vl,a,b,r);
                    175:                                break;
                    176:                        case O_R:
                    177:                                /* rat * something; bid > O_R */
                    178:                                if ( bid == O_VECT || bid == O_MAT )
                    179:                                        (*afunc[mid].mul)(vl,a,b,r);
                    180:                                else
                    181:                                        notdef(vl,a,b,r);
                    182:                                break;
                    183:                        case O_MAT:
                    184:                                if ( bid <= O_R || bid == O_VECT || bid == O_DP )
                    185:                                        (*afunc[O_MAT].mul)(vl,a,b,r);
                    186:                                else
                    187:                                        notdef(vl,a,b,r);
                    188:                                break;
                    189:                        case O_VECT:
                    190:                                if ( bid <= O_R || bid == O_DP )
                    191:                                        (*afunc[O_VECT].mul)(vl,a,b,r);
                    192:                                else if ( bid == O_MAT )
                    193:                                        (*afunc[O_MAT].mul)(vl,a,b,r);
                    194:                                else
                    195:                                        notdef(vl,a,b,r);
                    196:                                break;
                    197:                        case O_DP:
                    198:                                if ( bid <= O_P )
                    199:                                        (*afunc[O_DP].mul)(vl,a,b,r);
1.14      noro      200:                                else if ( bid == O_MAT || bid == O_VECT || bid == O_DPV )
1.10      noro      201:                                        (*afunc[bid].mul)(vl,a,b,r);
                    202:                                else
                    203:                                        notdef(vl,a,b,r);
1.18      saito     204:                                break;
                    205:                        case O_IMAT:
                    206:                                (*afunc[O_IMAT].mul)(vl,a,b,r);
1.10      noro      207:                                break;
                    208:                        default:
                    209:                                        notdef(vl,a,b,r);
                    210:                                break;
                    211:                }
                    212:        }
1.1       noro      213: }
                    214:
                    215: void arf_div(vl,a,b,r)
                    216: VL vl;
                    217: Obj a,b,*r;
                    218: {
                    219:        int mid;
                    220:
                    221:        if ( !b )
                    222:                error("div : division by 0");
                    223:        if ( !a )
                    224:                *r = 0;
                    225:        else if ( (OID(a) == OID(b)) )
                    226:                (*(afunc[OID(a)].div))(vl,a,b,r);
                    227:        else if ( (mid = MAX(OID(a),OID(b))) <= O_R ||
1.21      noro      228:                (mid == O_MAT) || (mid == O_VECT) || (mid == O_DP) || mid == O_QUOTE )
1.1       noro      229:                (*afunc[mid].div)(vl,a,b,r);
                    230:        else
                    231:                notdef(vl,a,b,r);
                    232: }
                    233:
                    234: void arf_remain(vl,a,b,r)
                    235: VL vl;
                    236: Obj a,b,*r;
                    237: {
                    238:        if ( !b )
                    239:                error("rem : division by 0");
                    240:        else if ( !a )
                    241:                *r = 0;
                    242:        else if ( MAX(OID(a),OID(b)) <= O_P )
                    243:                cmp((Q)b,(P)a,(P *)r);
                    244:        else
                    245:                notdef(vl,a,b,r);
                    246: }
                    247:
1.17      noro      248: int allow_laurent;
                    249:
1.1       noro      250: void arf_pwr(vl,a,e,r)
                    251: VL vl;
                    252: Obj a,e,*r;
                    253: {
                    254:        R t;
                    255:
1.16      noro      256:        if ( !a ) {
1.8       noro      257:                if ( !e )
                    258:                        *r = (pointer)ONE;
1.16      noro      259:                else if ( RATN(e) && SGN((Q)e)>0 )
                    260:                        *r = 0;
1.8       noro      261:                else
1.16      noro      262:                        mkpow(vl,a,e,r);
1.22    ! noro      263:        } else if ( !e ) {
1.9       noro      264:                if ( OID(a) == O_MAT )
                    265:                        (*(afunc[O_MAT].pwr))(vl,a,e,r);
                    266:                else
                    267:                        *r = (pointer)ONE;
1.22    ! noro      268:        } else if ( OID(a) == O_QUOTE || OID(e) == O_QUOTE )
        !           269:                (*(afunc[O_QUOTE].pwr))(vl,a,e,r);
        !           270:        else if ( (OID(e) <= O_N) && INT(e) ) {
1.1       noro      271:                if ( (OID(a) == O_P) && (SGN((Q)e) < 0) ) {
1.17      noro      272:                        if ( allow_laurent )
                    273:                                (*(afunc[O_P].pwr))(vl,a,e,r);
                    274:                        else {
                    275:                                MKRAT((P)a,(P)ONE,1,t);
                    276:                                (*(afunc[O_R].pwr))(vl,t,e,r);
                    277:                        }
1.1       noro      278:                } else
                    279:                        (*(afunc[OID(a)].pwr))(vl,a,e,r);
1.17      noro      280:        } else if ( (OID(e) <= O_N) && RATN(e) ) {
                    281:                if ( (OID(a) == O_P) && allow_laurent )
                    282:                        (*(afunc[O_P].pwr))(vl,a,e,r);
                    283:                else if ( OID(a) <= O_R )
                    284:                        mkpow(vl,a,e,r);
                    285:                else
                    286:                        notdef(vl,a,e,r);
1.1       noro      287:        } else if ( OID(a) <= O_R )
                    288:                mkpow(vl,a,e,r);
                    289:        else
                    290:                notdef(vl,a,e,r);
                    291: }
                    292:
                    293: void arf_chsgn(a,r)
                    294: Obj a,*r;
                    295: {
                    296:        if ( !a )
                    297:                *r = 0;
                    298:        else
                    299:                (*(afunc[OID(a)].chsgn))(a,r);
                    300: }
                    301:
                    302: int arf_comp(vl,a,b)
                    303: VL vl;
                    304: Obj a,b;
                    305: {
                    306:        if ( !a )
                    307:                if ( !b )
                    308:                        return 0;
                    309:                else
                    310:                        return (*afunc[OID(b)].comp)(vl,a,b);
                    311:        else if ( !b )
                    312:                        return (*afunc[OID(a)].comp)(vl,a,b);
                    313:        else if ( OID(a) != OID(b) )
                    314:                return OID(a)>OID(b) ? 1 : -1;
                    315:        else
                    316:                return (*afunc[OID(a)].comp)(vl,a,b);
                    317: }
                    318:
                    319: int complist(vl,a,b)
                    320: VL vl;
                    321: LIST a,b;
                    322: {
1.7       noro      323:        int t;
1.1       noro      324:        NODE an,bn;
                    325:
                    326:        if ( !a )
                    327:                if ( !b )
                    328:                        return 0;
                    329:                else
                    330:                        return -1;
                    331:        else if ( !b )
                    332:                return 1;
1.5       noro      333:        for ( an = BDY(a), bn = BDY(b); an && bn; an = NEXT(an), bn = NEXT(bn) );
                    334:        if ( an && !bn )
                    335:                return 1;
                    336:        else if ( !an && bn )
                    337:                return -1;
1.1       noro      338:        for ( an = BDY(a), bn = BDY(b); an; an = NEXT(an), bn = NEXT(bn) )
                    339:                if ( t = arf_comp(vl,BDY(an),BDY(bn)) )
                    340:                        return t;
                    341:        return 0;
                    342: }

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