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Annotation of OpenXM_contrib2/asir2000/builtin/algnum_ff.c, Revision 1.5

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:  *
1.5     ! noro       48:  * $OpenXM: OpenXM_contrib2/asir2000/builtin/algnum_ff.c,v 1.4 2000/12/05 01:24:49 noro Exp $
1.2       noro       49: */
1.1       noro       50: #include "ca.h"
                     51: #include "parse.h"
                     52:
                     53: void Pdefpoly(), Pnewalg(), Pmainalg(), Palgtorat(), Prattoalg(), Pgetalg();
                     54: void Palg(), Palgv(), Pgetalgtree();
                     55:
                     56: void mkalg(P,Alg *);
                     57: int cmpalgp(P,P);
                     58: void algptop(P,P *);
                     59: void algtorat(Num,Obj *);
                     60: void rattoalg(Obj,Alg *);
                     61: void ptoalgp(P,P *);
1.4       noro       62: void clctalg(P,VL *);
1.1       noro       63:
                     64: struct ftab alg_tab[] = {
1.5     ! noro       65:   {"defpoly",Pdefpoly,1},
        !            66:   {"newalg",Pnewalg,1},
        !            67:   {"mainalg",Pmainalg,1},
        !            68:   {"algtorat",Palgtorat,1},
        !            69:   {"rattoalg",Prattoalg,1},
        !            70:   {"getalg",Pgetalg,1},
        !            71:   {"getalgtree",Pgetalgtree,1},
        !            72:   {"alg",Palg,1},
        !            73:   {"algv",Palgv,1},
        !            74:   {0,0,0},
1.1       noro       75: };
                     76:
                     77: static int UCN,ACNT;
                     78:
                     79: void Pnewalg(arg,rp)
                     80: NODE arg;
                     81: Alg *rp;
                     82: {
1.5     ! noro       83:   P p;
        !            84:   VL vl;
        !            85:   P c;
        !            86:
        !            87:   p = (P)ARG0(arg);
        !            88:   if ( !p || OID(p) != O_P )
        !            89:     error("newalg : invalid argument");
        !            90:   clctv(CO,p,&vl);
        !            91:   if ( NEXT(vl) )
        !            92:     error("newalg : invalid argument");
        !            93:   c = COEF(DC(p));
        !            94:   if ( !NUM(c) || !RATN(c) )
        !            95:     error("newalg : invalid argument");
        !            96:   mkalg(p,rp);
1.1       noro       97: }
                     98:
                     99: void mkalg(p,r)
                    100: P p;
                    101: Alg *r;
                    102: {
1.5     ! noro      103:   VL vl,mvl,nvl;
        !           104:   V a,tv;
        !           105:   char buf[BUFSIZ];
        !           106:   char *name;
        !           107:   P x,t,s;
        !           108:   Num c;
        !           109:   DCP dc,dcr,dcr0;
        !           110:
        !           111:   for ( vl = ALG; vl; vl = NEXT(vl) )
        !           112:     if ( !cmpalgp(p,(P)vl->v->attr) ) {
        !           113:       a = vl->v; break;
        !           114:     }
        !           115:   if ( !vl ) {
        !           116:     NEWVL(vl); NEXT(vl) = ALG; ALG = vl;
        !           117:     NEWV(a); vl->v = a;
        !           118:     sprintf(buf,"#%d",ACNT++);
        !           119:     name = (char *)MALLOC(strlen(buf)+1);
        !           120:     strcpy(name,buf); NAME(a) = name;
        !           121:
        !           122:     for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
        !           123:       NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); c = (Num)COEF(dc);
        !           124:       if ( NID(c) != N_A )
        !           125:         COEF(dcr) = (P)c;
        !           126:       else
        !           127:         COEF(dcr) = (P)BDY(((Alg)c));
        !           128:     }
        !           129:     NEXT(dcr) = 0; MKP(a,dcr0,t); a->attr = (pointer)t;
        !           130:
        !           131:     sprintf(buf,"t%s",name); makevar(buf,&s);
        !           132:
        !           133:     if ( NEXT(ALG) ) {
        !           134:       tv = (V)NEXT(ALG)->v->priv;
        !           135:       for ( vl = CO; NEXT(NEXT(vl)); vl = NEXT(vl) );
        !           136:       nvl = NEXT(vl); NEXT(vl) = 0;
        !           137:       for ( vl = CO; NEXT(vl) && (NEXT(vl)->v != tv); vl = NEXT(vl) );
        !           138:       mvl = NEXT(vl); NEXT(vl) = nvl; NEXT(nvl) = mvl;
        !           139:     }
        !           140:
        !           141:     a->priv = (pointer)VR(s); VR(s)->priv = (pointer)a;
        !           142:   }
        !           143:   MKV(a,x); MKAlg(x,*r);
1.1       noro      144: }
                    145:
                    146: int cmpalgp(p,defp)
                    147: P p,defp;
                    148: {
1.5     ! noro      149:   DCP dc,dcd;
        !           150:   P t;
1.1       noro      151:
1.5     ! noro      152:   for ( dc = DC(p), dcd = DC(defp); dc && dcd;
        !           153:     dc = NEXT(dc), dcd = NEXT(dcd) ) {
        !           154:     if ( cmpq(DEG(dc),DEG(dcd)) )
        !           155:       break;
        !           156:     t = NID((Num)COEF(dc)) == N_A ? (P)BDY((Alg)COEF(dc)) : COEF(dc);
        !           157:     if ( compp(ALG,t,COEF(dcd)) )
        !           158:       break;
        !           159:   }
        !           160:   if ( dc || dcd )
        !           161:     return 1;
        !           162:   else
        !           163:     return 0;
1.1       noro      164: }
                    165:
                    166: void Pdefpoly(arg,rp)
                    167: NODE arg;
                    168: P *rp;
                    169: {
1.5     ! noro      170:   asir_assert(ARG0(arg),O_N,"defpoly");
        !           171:   algptop((P)VR((P)BDY((Alg)ARG0(arg)))->attr,rp);
1.1       noro      172: }
                    173:
                    174: void Pmainalg(arg,r)
                    175: NODE arg;
                    176: Alg *r;
                    177: {
1.5     ! noro      178:   Num c;
        !           179:   V v;
        !           180:   P b;
        !           181:
        !           182:   c = (Num)(ARG0(arg));
        !           183:   if ( NID(c) <= N_R )
        !           184:     *r = 0;
        !           185:   else {
        !           186:     v = VR((P)BDY((Alg)c)); MKV(v,b); MKAlg(b,*r);
        !           187:   }
1.1       noro      188: }
                    189:
                    190: void Palgtorat(arg,rp)
                    191: NODE arg;
                    192: Obj *rp;
                    193: {
1.5     ! noro      194:   asir_assert(ARG0(arg),O_N,"algtorat");
        !           195:   algtorat((Num)ARG0(arg),rp);
1.1       noro      196: }
                    197:
                    198: void Prattoalg(arg,rp)
                    199: NODE arg;
                    200: Alg *rp;
                    201: {
1.5     ! noro      202:   asir_assert(ARG0(arg),O_R,"rattoalg");
        !           203:   rattoalg((Obj)ARG0(arg),rp);
1.1       noro      204: }
                    205:
                    206: void Pgetalg(arg,rp)
                    207: NODE arg;
                    208: LIST *rp;
                    209: {
1.5     ! noro      210:   Obj t;
        !           211:   P p;
        !           212:   VL vl;
        !           213:   Num a;
        !           214:   Alg b;
        !           215:   NODE n0,n;
        !           216:
        !           217:   if ( !(a = (Num)ARG0(arg)) || NID(a) <= N_R )
        !           218:     vl = 0;
        !           219:   else {
        !           220:     t = BDY((Alg)a);
        !           221:     switch ( OID(t) ) {
        !           222:       case O_P: case O_R:
        !           223:         clctvr(ALG,t,&vl); break;
        !           224:       default:
        !           225:         vl = 0; break;
        !           226:     }
        !           227:   }
        !           228:   for ( n0 = 0; vl; vl = NEXT(vl) ) {
        !           229:     NEXTNODE(n0,n); MKV(vl->v,p); MKAlg(p,b); BDY(n) = (pointer)b;
        !           230:   }
        !           231:   if ( n0 )
        !           232:     NEXT(n) = 0;
        !           233:   MKLIST(*rp,n0);
1.1       noro      234: }
                    235:
                    236: void Pgetalgtree(arg,rp)
                    237: NODE arg;
                    238: LIST *rp;
                    239: {
1.5     ! noro      240:   Obj t;
        !           241:   P p;
        !           242:   VL vl,vl1,vl2;
        !           243:   Num a;
        !           244:   Alg b;
        !           245:   NODE n0,n;
        !           246:
        !           247:   if ( !(a = (Num)ARG0(arg)) || NID(a) <= N_R )
        !           248:     vl = 0;
        !           249:   else {
        !           250:     t = BDY((Alg)a);
        !           251:     switch ( OID(t) ) {
        !           252:       case O_P:
        !           253:         clctalg(t,&vl); break;
        !           254:       case O_R:
        !           255:         clctalg(NM((R)t),&vl1);
        !           256:         clctalg(DN((R)t),&vl2);
        !           257:         mergev(ALG,vl1,vl2,&vl); break;
        !           258:       default:
        !           259:         vl = 0; break;
        !           260:     }
        !           261:   }
        !           262:   for ( n0 = 0; vl; vl = NEXT(vl) ) {
        !           263:     NEXTNODE(n0,n); MKV(vl->v,p); MKAlg(p,b); BDY(n) = (pointer)b;
        !           264:   }
        !           265:   if ( n0 )
        !           266:     NEXT(n) = 0;
        !           267:   MKLIST(*rp,n0);
1.1       noro      268: }
                    269:
                    270: void clctalg(p,vl)
                    271: P p;
                    272: VL *vl;
                    273: {
1.5     ! noro      274:   int n,i;
        !           275:   VL tvl;
        !           276:   VN vn,vn1;
        !           277:   P d;
        !           278:   DCP dc;
        !           279:
        !           280:   for ( n = 0, tvl = ALG; tvl; tvl = NEXT(tvl), n++ );
        !           281:   vn = (VN) ALLOCA((n+1)*sizeof(struct oVN));
        !           282:   for ( i = n-1, tvl = ALG; tvl; tvl = NEXT(tvl), i-- ) {
        !           283:     vn[i].v = tvl->v;
        !           284:     vn[i].n = 0;
        !           285:   }
        !           286:   markv(vn,n,p);
        !           287:   for ( i = n-1; i >= 0; i-- ) {
        !           288:     if ( !vn[i].n )
        !           289:       continue;
        !           290:     d = (P)vn[i].v->attr;
        !           291:     for ( dc = DC(d); dc; dc = NEXT(dc) )
        !           292:       markv(vn,i,COEF(dc));
        !           293:   }
        !           294:   vn1 = (VN) ALLOCA((n+1)*sizeof(struct oVN));
        !           295:   for ( i = 0; i < n; i++ ) {
        !           296:     vn1[i].v = vn[n-1-i].v; vn1[i].n = vn[n-1-i].n;
        !           297:   }
        !           298:   vntovl(vn1,n,vl);
1.1       noro      299: }
                    300:
                    301: void Palg(arg,rp)
                    302: NODE arg;
                    303: Alg *rp;
                    304: {
1.5     ! noro      305:   Q a;
        !           306:   VL vl;
        !           307:   P x;
        !           308:   int n;
        !           309:
        !           310:   a = (Q)ARG0(arg);
        !           311:   if ( a && (OID(a) != O_N || NID(a) != N_Q || !INT(a)) )
        !           312:     *rp = 0;
        !           313:   else {
        !           314:     n = ACNT-QTOS(a)-1;
        !           315:     for ( vl = ALG; vl && n; vl = NEXT(vl), n-- );
        !           316:     if ( vl ) {
        !           317:       MKV(vl->v,x); MKAlg(x,*rp);
        !           318:     } else
        !           319:       *rp = 0;
        !           320:   }
1.1       noro      321: }
                    322:
                    323: void Palgv(arg,rp)
                    324: NODE arg;
                    325: Obj *rp;
                    326: {
1.5     ! noro      327:   Q a;
        !           328:   VL vl;
        !           329:   P x;
        !           330:   int n;
        !           331:   Alg b;
        !           332:
        !           333:   a = (Q)ARG0(arg);
        !           334:   if ( a && (OID(a) != O_N || NID(a) != N_Q || !INT(a)) )
        !           335:     *rp = 0;
        !           336:   else {
        !           337:     n = ACNT-QTOS(a)-1;
        !           338:     for ( vl = ALG; vl && n; vl = NEXT(vl), n-- );
        !           339:     if ( vl ) {
        !           340:       MKV(vl->v,x); MKAlg(x,b); algtorat((Num)b,rp);
        !           341:     } else
        !           342:       *rp = 0;
        !           343:   }
1.1       noro      344: }
                    345:
                    346: void algptop(p,r)
                    347: P p,*r;
                    348: {
1.5     ! noro      349:   DCP dc,dcr,dcr0;
1.1       noro      350:
1.5     ! noro      351:   if ( NUM(p) )
        !           352:     *r = (P)p;
        !           353:   else {
        !           354:     for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
        !           355:       NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc);
        !           356:       algptop(COEF(dc),&COEF(dcr));
        !           357:     }
        !           358:     NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r);
        !           359:   }
1.1       noro      360: }
                    361:
                    362: void algtorat(n,r)
                    363: Num n;
                    364: Obj *r;
                    365: {
1.5     ! noro      366:   Obj obj;
        !           367:   P nm,dn;
1.1       noro      368:
1.5     ! noro      369:   if ( !n || NID(n) <= N_R )
        !           370:     *r = (Obj)n;
        !           371:   else {
        !           372:     obj = BDY((Alg)n);
        !           373:     if ( ID(obj) <= O_P )
        !           374:       algptop((P)obj,(P *)r);
        !           375:     else {
        !           376:       algptop(NM((R)obj),&nm); algptop(DN((R)obj),&dn);
        !           377:       divr(CO,(Obj)nm,(Obj)dn,r);
        !           378:     }
        !           379:   }
1.1       noro      380: }
                    381:
                    382: void rattoalg(obj,n)
                    383: Obj obj;
                    384: Alg *n;
                    385: {
1.5     ! noro      386:   P nm,dn;
        !           387:   Obj t;
1.1       noro      388:
1.5     ! noro      389:   if ( !obj || ID(obj) == O_N )
        !           390:     *n = (Alg)obj;
        !           391:   else if ( ID(obj) == O_P ) {
        !           392:     ptoalgp((P)obj,(P *)&t); MKAlg(t,*n);
        !           393:   } else {
        !           394:     ptoalgp(NM((R)obj),&nm); ptoalgp(DN((R)obj),&dn);
        !           395:     divr(ALG,(Obj)nm,(Obj)dn,&t); MKAlg(t,*n);
        !           396:   }
1.1       noro      397: }
                    398:
                    399: void ptoalgp(p,r)
                    400: P p,*r;
                    401: {
1.5     ! noro      402:   DCP dc,dcr,dcr0;
1.1       noro      403:
1.5     ! noro      404:   if ( NUM(p) )
        !           405:     *r = (P)p;
        !           406:   else {
        !           407:     for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
        !           408:       NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc);
        !           409:       ptoalgp(COEF(dc),&COEF(dcr));
        !           410:     }
        !           411:     NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r);
        !           412:   }
1.1       noro      413: }

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