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Annotation of OpenXM_contrib2/asir2018/builtin/gr.c, Revision 1.1

1.1     ! 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
        !            26:  * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
        !            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:  *
        !            48:  * $OpenXM$
        !            49: */
        !            50: #include "ca.h"
        !            51: #include "parse.h"
        !            52: #include "base.h"
        !            53: #include "ox.h"
        !            54:
        !            55: #if defined(__GNUC__)
        !            56: #define INLINE static inline
        !            57: #elif defined(VISUAL) || defined(__MINGW32__)
        !            58: #define INLINE __inline
        !            59: #else
        !            60: #define INLINE
        !            61: #endif
        !            62:
        !            63: #define HMAG(p) (p_mag((P)BDY(p)->c))
        !            64:
        !            65: #define NEWDP_pairs ((DP_pairs)MALLOC(sizeof(struct dp_pairs)))
        !            66:
        !            67: static DP_pairs collect_pairs_of_hdlcm( DP_pairs d1, DP_pairs *prest );
        !            68: double get_rtime();
        !            69:
        !            70: struct oEGT eg_nf,eg_nfm;
        !            71: struct oEGT eg_znfm,eg_pz,eg_np,eg_ra,eg_mc,eg_gc;
        !            72: int TP,N_BP,NMP,NFP,NDP,ZR,NZR;
        !            73:
        !            74: extern int (*cmpdl)();
        !            75: extern int do_weyl;
        !            76:
        !            77: extern int DP_Print;
        !            78:
        !            79: extern int dp_nelim;
        !            80: extern int dp_fcoeffs;
        !            81: static DP *ps,*psm;
        !            82: static DL *psh;
        !            83: static P *psc;
        !            84:
        !            85: static int *pss;
        !            86: static int psn,pslen;
        !            87: static int NVars,CNVars;
        !            88: static VL VC;
        !            89:
        !            90: int PCoeffs;
        !            91: int DP_Print = 0;
        !            92: int DP_PrintShort = 0;
        !            93: int DP_Multiple = 0;
        !            94: int DP_NFStat = 0;
        !            95: LIST Dist = 0;
        !            96: int NoGCD = 0;
        !            97: int GenTrace = 0;
        !            98: int GenSyz = 0;
        !            99: int OXCheck = -1;
        !           100: int OneZeroHomo = 0;
        !           101: int MaxDeg = 0;
        !           102:
        !           103: int NoSugar = 0;
        !           104: static int NoCriB = 0;
        !           105: static int NoGC = 0;
        !           106: static int NoMC = 0;
        !           107: static int NoRA = 0;
        !           108: static int ShowMag = 0;
        !           109: static int Stat = 0;
        !           110: int Denominator = 1;
        !           111: int Top = 0;
        !           112: int Reverse = 0;
        !           113: static int Max_mag = 0;
        !           114: static int Max_coef = 0;
        !           115: char *Demand = 0;
        !           116: static int PtozpRA = 0;
        !           117:
        !           118: int doing_f4;
        !           119: NODE TraceList;
        !           120: NODE AllTraceList;
        !           121:
        !           122: void Pox_cmo_rpc(NODE,Obj *);
        !           123: void Pox_rpc(NODE,Obj *);
        !           124: void Pox_pop_local(NODE,Obj *);
        !           125:
        !           126: INLINE int eqdl(int nv,DL dl1,DL dl2)
        !           127: {
        !           128:   int i;
        !           129:   int *p1,*p2;
        !           130:
        !           131:   if ( dl1->td != dl2->td )
        !           132:     return 0;
        !           133:   i = nv-1;
        !           134:   p1 = dl1->d;
        !           135:   p2 = dl2->d;
        !           136:   while ( i >= 7 ) {
        !           137:     if ( *p1++ != *p2++ ) return 0;
        !           138:     if ( *p1++ != *p2++ ) return 0;
        !           139:     if ( *p1++ != *p2++ ) return 0;
        !           140:     if ( *p1++ != *p2++ ) return 0;
        !           141:     if ( *p1++ != *p2++ ) return 0;
        !           142:     if ( *p1++ != *p2++ ) return 0;
        !           143:     if ( *p1++ != *p2++ ) return 0;
        !           144:     if ( *p1++ != *p2++ ) return 0;
        !           145:     i -= 8;
        !           146:   }
        !           147:   switch ( i ) {
        !           148:     case 6:
        !           149:       if ( *p1++ != *p2++ ) return 0;
        !           150:       if ( *p1++ != *p2++ ) return 0;
        !           151:       if ( *p1++ != *p2++ ) return 0;
        !           152:       if ( *p1++ != *p2++ ) return 0;
        !           153:       if ( *p1++ != *p2++ ) return 0;
        !           154:       if ( *p1++ != *p2++ ) return 0;
        !           155:       if ( *p1++ != *p2++ ) return 0;
        !           156:       return 1;
        !           157:     case 5:
        !           158:       if ( *p1++ != *p2++ ) return 0;
        !           159:       if ( *p1++ != *p2++ ) return 0;
        !           160:       if ( *p1++ != *p2++ ) return 0;
        !           161:       if ( *p1++ != *p2++ ) return 0;
        !           162:       if ( *p1++ != *p2++ ) return 0;
        !           163:       if ( *p1++ != *p2++ ) return 0;
        !           164:       return 1;
        !           165:     case 4:
        !           166:       if ( *p1++ != *p2++ ) return 0;
        !           167:       if ( *p1++ != *p2++ ) return 0;
        !           168:       if ( *p1++ != *p2++ ) return 0;
        !           169:       if ( *p1++ != *p2++ ) return 0;
        !           170:       if ( *p1++ != *p2++ ) return 0;
        !           171:       return 1;
        !           172:     case 3:
        !           173:       if ( *p1++ != *p2++ ) return 0;
        !           174:       if ( *p1++ != *p2++ ) return 0;
        !           175:       if ( *p1++ != *p2++ ) return 0;
        !           176:       if ( *p1++ != *p2++ ) return 0;
        !           177:       return 1;
        !           178:     case 2:
        !           179:       if ( *p1++ != *p2++ ) return 0;
        !           180:       if ( *p1++ != *p2++ ) return 0;
        !           181:       if ( *p1++ != *p2++ ) return 0;
        !           182:       return 1;
        !           183:     case 1:
        !           184:       if ( *p1++ != *p2++ ) return 0;
        !           185:       if ( *p1++ != *p2++ ) return 0;
        !           186:       return 1;
        !           187:     case 0:
        !           188:       if ( *p1++ != *p2++ ) return 0;
        !           189:       return 1;
        !           190:     default:
        !           191:       return 1;
        !           192:   }
        !           193: }
        !           194:
        !           195: /* b[] should be cleared */
        !           196:
        !           197: void _dpmod_to_vect(DP f,DL *at,int *b)
        !           198: {
        !           199:   int i,nv;
        !           200:   MP m;
        !           201:
        !           202:   nv = f->nv;
        !           203:   for ( m = BDY(f), i = 0; m; m = NEXT(m), i++ ) {
        !           204:     for ( ; !eqdl(nv,m->dl,at[i]); i++ );
        !           205:     b[i] = ITOS(m->c);
        !           206:   }
        !           207: }
        !           208:
        !           209: /* [t,findex] -> tf -> compressed vector */
        !           210:
        !           211: void _tf_to_vect_compress(NODE tf,DL *at,CDP *b)
        !           212: {
        !           213:   int i,j,k,nv,len;
        !           214:   DL t,s,d1;
        !           215:   DP f;
        !           216:   MP m;
        !           217:   CDP r;
        !           218:
        !           219:   t = (DL)BDY(tf);
        !           220:   f = ps[(long)BDY(NEXT(tf))];
        !           221:
        !           222:   nv = f->nv;
        !           223:   for ( m = BDY(f), len = 0; m; m = NEXT(m), len++ );
        !           224:   r = (CDP)MALLOC(sizeof(struct oCDP));
        !           225:   r->len = len;
        !           226:   r->psindex = (long)BDY(NEXT(tf));
        !           227:   r->body = (unsigned int *)MALLOC_ATOMIC(sizeof(unsigned int)*len);
        !           228:
        !           229:   NEWDL_NOINIT(s,nv);
        !           230:   for ( m = BDY(f), i = j = 0; m; m = NEXT(m), j++ ) {
        !           231:     d1 = m->dl;
        !           232:     s->td = t->td+d1->td;
        !           233:     for ( k = 0; k < nv; k++ )
        !           234:       s->d[k] = t->d[k]+d1->d[k];
        !           235:     for ( ; !eqdl(nv,s,at[i]); i++ );
        !           236:     r->body[j] = i;
        !           237:   }
        !           238:   *b = r;
        !           239: }
        !           240:
        !           241: void dp_to_vect(DP f,DL *at,Q *b)
        !           242: {
        !           243:   int i,nv;
        !           244:   MP m;
        !           245:
        !           246:   nv = f->nv;
        !           247:   for ( m = BDY(f), i = 0; m; m = NEXT(m), i++ ) {
        !           248:     for ( ; !eqdl(nv,m->dl,at[i]); i++ );
        !           249:     b[i] =(Q)m->c;
        !           250:   }
        !           251: }
        !           252:
        !           253: NODE dp_dllist(DP f)
        !           254: {
        !           255:   MP m;
        !           256:   NODE mp,mp0;
        !           257:
        !           258:   if ( !f )
        !           259:     return 0;
        !           260:   mp0 = 0;
        !           261:   for ( m = BDY(f); m; m = NEXT(m) ) {
        !           262:     NEXTNODE(mp0,mp); BDY(mp) = (pointer)m->dl;
        !           263:   }
        !           264:   NEXT(mp) = 0;
        !           265:   return mp0;
        !           266: }
        !           267:
        !           268: NODE mul_dllist(DL d,DP f)
        !           269: {
        !           270:   MP m;
        !           271:   NODE mp,mp0;
        !           272:   DL t,d1;
        !           273:   int i,nv;
        !           274:
        !           275:   if ( !f )
        !           276:     return 0;
        !           277:   nv = NV(f);
        !           278:   mp0 = 0;
        !           279:   for ( m = BDY(f); m; m = NEXT(m) ) {
        !           280:     NEXTNODE(mp0,mp);
        !           281:     NEWDL_NOINIT(t,nv);
        !           282:     d1 = m->dl;
        !           283:     t->td = d->td+d1->td;
        !           284:     for ( i = 0; i < nv; i++ )
        !           285:       t->d[i] = d->d[i]+d1->d[i];
        !           286:     BDY(mp) = (pointer)t;
        !           287:   }
        !           288:   NEXT(mp) = 0;
        !           289:   return mp0;
        !           290: }
        !           291:
        !           292: void pdl(NODE f)
        !           293: {
        !           294:   while ( f ) {
        !           295:     printdl(BDY(f)); f = NEXT(f);
        !           296:   }
        !           297:   fflush(stdout);
        !           298:   printf("\n");
        !           299: }
        !           300:
        !           301: void dp_gr_main(LIST f,LIST v,Num homo,int modular,int field,struct order_spec *ord,LIST *rp)
        !           302: {
        !           303:   int i,mindex,m,nochk;
        !           304:   struct order_spec *ord1;
        !           305:   Z q;
        !           306:   VL fv,vv,vc;
        !           307:   NODE fd,fd0,fi,fi0,r,r0,t,subst,x,s,xx;
        !           308:   NODE ind,ind0;
        !           309:   LIST trace,gbindex;
        !           310:   int input_is_dp = 0;
        !           311:
        !           312:   mindex = 0; nochk = 0; dp_fcoeffs = field;
        !           313:   get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);
        !           314:   NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;
        !           315:   CNVars = homo ? NVars+1 : NVars;
        !           316:   if ( ord->id && NVars != ord->nv )
        !           317:     error("dp_gr_main : invalid order specification");
        !           318:   initd(ord);
        !           319:   if ( homo ) {
        !           320:     homogenize_order(ord,NVars,&ord1);
        !           321:     for ( fd0 = fi0 = 0, t = BDY(f); t; t = NEXT(t) ) {
        !           322:       NEXTNODE(fd0,fd); NEXTNODE(fi0,fi);
        !           323:       if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           324:         dp_sort((DP)BDY(t),(DP *)&BDY(fi)); input_is_dp = 1;
        !           325:       } else
        !           326:         ptod(CO,vv,(P)BDY(t),(DP *)&BDY(fi));
        !           327:       dp_homo((DP)BDY(fi),(DP *)&BDY(fd));
        !           328:     }
        !           329:     if ( fd0 ) NEXT(fd) = 0;
        !           330:     if ( fi0 ) NEXT(fi) = 0;
        !           331:     initd(ord1);
        !           332:   } else {
        !           333:     for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
        !           334:       NEXTNODE(fd0,fd);
        !           335:       if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           336:         dp_sort((DP)BDY(t),(DP *)&BDY(fd)); input_is_dp = 1;
        !           337:       } else
        !           338:         ptod(CO,vv,(P)BDY(t),(DP *)&BDY(fd));
        !           339:     }
        !           340:     if ( fd0 ) NEXT(fd) = 0;
        !           341:     fi0 = fd0;
        !           342:   }
        !           343:   if ( modular < 0 ) {
        !           344:     modular = -modular; nochk = 1;
        !           345:   }
        !           346:   if ( modular )
        !           347:     m = modular > 1 ? modular : get_lprime(mindex);
        !           348:   else
        !           349:     m = 0;
        !           350:   makesubst(vc,&subst);
        !           351:   setup_arrays(fd0,0,&s);
        !           352:   init_stat();
        !           353:   while ( 1 ) {
        !           354:     if ( homo ) {
        !           355:       initd(ord1); CNVars = NVars+1;
        !           356:     }
        !           357:     if ( DP_Print && modular ) {
        !           358:       fprintf(asir_out,"mod= %d, eval = ",m); printsubst(subst);
        !           359:     }
        !           360:     x = gb(s,m,subst);
        !           361:     if ( x ) {
        !           362:       if ( homo ) {
        !           363:         reducebase_dehomo(x,&xx); x = xx;
        !           364:         initd(ord); CNVars = NVars;
        !           365:       }
        !           366:       reduceall(x,&xx); x = xx;
        !           367:       if ( modular ) {
        !           368:         if ( nochk || (membercheck(fi0,x) && gbcheck(x)) )
        !           369:           break;
        !           370:       } else
        !           371:         break;
        !           372:     }
        !           373:     if ( modular )
        !           374:       if ( modular > 1 ) {
        !           375:         *rp = 0; return;
        !           376:       } else
        !           377:         m = get_lprime(++mindex);
        !           378:     makesubst(vc,&subst);
        !           379:     psn = length(s);
        !           380:     for ( i = psn; i < pslen; i++ ) {
        !           381:       pss[i] = 0; psh[i] = 0; psc[i] = 0; ps[i] = 0;
        !           382:     }
        !           383:   }
        !           384:   for ( r0 = 0, ind0 = 0; x; x = NEXT(x) ) {
        !           385:     NEXTNODE(r0,r); dp_load((long)BDY(x),&ps[(long)BDY(x)]);
        !           386:     if ( input_is_dp )
        !           387:       BDY(r) = (pointer)ps[(long)BDY(x)];
        !           388:     else
        !           389:       dtop(CO,vv,ps[(long)BDY(x)],(Obj *)&BDY(r));
        !           390:     NEXTNODE(ind0,ind);
        !           391:     STOQ((long)BDY(x),q); BDY(ind) = q;
        !           392:   }
        !           393:   if ( r0 ) NEXT(r) = 0;
        !           394:   if ( ind0 ) NEXT(ind) = 0;
        !           395:   MKLIST(*rp,r0);
        !           396:   MKLIST(gbindex,ind0);
        !           397:
        !           398:   if ( GenTrace && OXCheck < 0 ) {
        !           399:
        !           400:     x = AllTraceList;
        !           401:     for ( r = 0; x; x = NEXT(x) ) {
        !           402:       MKNODE(r0,BDY(x),r); r = r0;
        !           403:     }
        !           404:     MKLIST(trace,r);
        !           405:     r0 = mknode(3,*rp,gbindex,trace);
        !           406:     MKLIST(*rp,r0);
        !           407:   }
        !           408:   print_stat();
        !           409:   if ( ShowMag )
        !           410:     fprintf(asir_out,"\nMax_mag=%d, Max_coef=%d\n",Max_mag, Max_coef);
        !           411: }
        !           412:
        !           413: void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp)
        !           414: {
        !           415:   int i,mindex,m,nochk;
        !           416:   struct order_spec *ord1;
        !           417:   Z q;
        !           418:   VL fv,vv,vc;
        !           419:   NODE fd,fd0,fi,fi0,r,r0,t,subst,x,s,xx;
        !           420:   NODE ind,ind0;
        !           421:   LIST trace,gbindex;
        !           422:   int input_is_dp = 0;
        !           423:
        !           424:   mindex = 0; nochk = 0; dp_fcoeffs = field;
        !           425:   get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);
        !           426:   NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;
        !           427:   CNVars = NVars;
        !           428:   if ( ord->id && NVars != ord->nv )
        !           429:     error("dp_interreduce : invalid order specification");
        !           430:   initd(ord);
        !           431:   for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
        !           432:     NEXTNODE(fd0,fd);
        !           433:     if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           434:       dp_sort((DP)BDY(t),(DP *)&BDY(fd)); input_is_dp = 1;
        !           435:     } else
        !           436:       ptod(CO,vv,(P)BDY(t),(DP *)&BDY(fd));
        !           437:   }
        !           438:   if ( fd0 ) NEXT(fd) = 0;
        !           439:   fi0 = fd0;
        !           440:   setup_arrays(fd0,0,&s);
        !           441:   init_stat();
        !           442:   x = s;
        !           443:   reduceall(x,&xx); x = xx;
        !           444:   for ( r0 = 0, ind0 = 0; x; x = NEXT(x) ) {
        !           445:     NEXTNODE(r0,r); dp_load((long)BDY(x),&ps[(long)BDY(x)]);
        !           446:     if ( input_is_dp )
        !           447:       BDY(r) = (pointer)ps[(long)BDY(x)];
        !           448:     else
        !           449:       dtop(CO,vv,ps[(long)BDY(x)],(Obj *)&BDY(r));
        !           450:     NEXTNODE(ind0,ind);
        !           451:     STOQ((long)BDY(x),q); BDY(ind) = q;
        !           452:   }
        !           453:   if ( r0 ) NEXT(r) = 0;
        !           454:   if ( ind0 ) NEXT(ind) = 0;
        !           455:   MKLIST(*rp,r0);
        !           456:   MKLIST(gbindex,ind0);
        !           457: }
        !           458:
        !           459: void dp_gr_mod_main(LIST f,LIST v,Num homo,int m,struct order_spec *ord,LIST *rp)
        !           460: {
        !           461:   struct order_spec *ord1;
        !           462:   VL fv,vv,vc;
        !           463:   NODE fd,fd0,r,r0,t,x,s,xx;
        !           464:   DP a,b,c;
        !           465:   extern struct oEGT eg_red_mod;
        !           466:   int input_is_dp = 0;
        !           467:
        !           468:   get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);
        !           469:   NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;
        !           470:   CNVars = homo ? NVars+1 : NVars;
        !           471:   if ( ord->id && NVars != ord->nv )
        !           472:     error("dp_gr_mod_main : invalid order specification");
        !           473:   initd(ord);
        !           474:   if ( homo ) {
        !           475:     for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
        !           476:       if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           477:         dp_sort((DP)BDY(t),&a); input_is_dp = 1;
        !           478:       } else
        !           479:         ptod(CO,vv,(P)BDY(t),&a);
        !           480:       dp_homo(a,&b);
        !           481:       if ( PCoeffs )
        !           482:         dp_mod(b,m,0,&c);
        !           483:       else
        !           484:         _dp_mod(b,m,(NODE)0,&c);
        !           485:       if ( c ) {
        !           486:         NEXTNODE(fd0,fd); BDY(fd) = (pointer)c;
        !           487:       }
        !           488:     }
        !           489:     homogenize_order(ord,NVars,&ord1); initd(ord1);
        !           490:   } else {
        !           491:     for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
        !           492:       if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           493:         dp_sort((DP)BDY(t),&b); input_is_dp = 1;
        !           494:       } else
        !           495:         ptod(CO,vv,(P)BDY(t),&b);
        !           496:       if ( PCoeffs )
        !           497:         dp_mod(b,m,0,&c);
        !           498:       else
        !           499:         _dp_mod(b,m,0,&c);
        !           500:       if ( c ) {
        !           501:         NEXTNODE(fd0,fd); BDY(fd) = (pointer)c;
        !           502:       }
        !           503:     }
        !           504:   }
        !           505:   if ( fd0 ) NEXT(fd) = 0;
        !           506:   setup_arrays(fd0,m,&s);
        !           507:   init_stat();
        !           508:   if ( homo ) {
        !           509:     initd(ord1); CNVars = NVars+1;
        !           510:   }
        !           511: /* init_eg(&eg_red_mod); */
        !           512:   x = gb_mod(s,m);
        !           513: /* print_eg("Red_mod",&eg_red_mod); */
        !           514:   if ( homo ) {
        !           515:     reducebase_dehomo(x,&xx); x = xx;
        !           516:     initd(ord); CNVars = NVars;
        !           517:   }
        !           518:   reduceall_mod(x,m,&xx); x = xx;
        !           519:   if ( PCoeffs )
        !           520:     for ( r0 = 0; x; x = NEXT(x) ) {
        !           521:       NEXTNODE(r0,r);
        !           522:       if ( input_is_dp )
        !           523:         mdtodp(ps[(long)BDY(x)],(DP *)&BDY(r));
        !           524:       else
        !           525:         mdtop(CO,m,vv,ps[(long)BDY(x)],(P *)&BDY(r));
        !           526:     }
        !           527:   else
        !           528:     for ( r0 = 0; x; x = NEXT(x) ) {
        !           529:       NEXTNODE(r0,r);
        !           530:       if ( input_is_dp )
        !           531:         _mdtodp(ps[(long)BDY(x)],(DP *)&BDY(r));
        !           532:       else
        !           533:         _dtop_mod(CO,vv,ps[(long)BDY(x)],(P *)&BDY(r));
        !           534:     }
        !           535:   print_stat();
        !           536:   if ( r0 ) NEXT(r) = 0;
        !           537:   MKLIST(*rp,r0);
        !           538: }
        !           539:
        !           540: void dp_f4_main(LIST f,LIST v,struct order_spec *ord,LIST *rp)
        !           541: {
        !           542:   int homogen;
        !           543:   VL fv,vv,vc;
        !           544:   NODE fd,fd0,r,r0,t,x,s,xx;
        !           545:   int input_is_dp = 0;
        !           546:
        !           547:   dp_fcoeffs = 0;
        !           548:   get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);
        !           549:   NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;
        !           550:   CNVars = NVars;
        !           551:   if ( ord->id && NVars != ord->nv )
        !           552:     error("dp_f4_main : invalid order specification");
        !           553:   initd(ord);
        !           554:   for ( fd0 = 0, t = BDY(f), homogen = 1; t; t = NEXT(t) ) {
        !           555:     NEXTNODE(fd0,fd);
        !           556:     if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           557:       dp_sort((DP)BDY(t),(DP *)&BDY(fd)); input_is_dp = 1;
        !           558:     } else
        !           559:       ptod(CO,vv,(P)BDY(t),(DP *)&BDY(fd));
        !           560:     if ( homogen )
        !           561:       homogen = dp_homogeneous(BDY(fd));
        !           562:   }
        !           563:   if ( fd0 ) NEXT(fd) = 0;
        !           564:   setup_arrays(fd0,0,&s);
        !           565:   x = gb_f4(s);
        !           566:   if ( !homogen ) {
        !           567:     reduceall(x,&xx); x = xx;
        !           568:   }
        !           569:   for ( r0 = 0; x; x = NEXT(x) ) {
        !           570:     NEXTNODE(r0,r); dp_load((long)BDY(x),&ps[(long)BDY(x)]);
        !           571:     if ( input_is_dp )
        !           572:       BDY(r) = (pointer)ps[(long)BDY(x)];
        !           573:     else
        !           574:       dtop(CO,vv,ps[(long)BDY(x)],(Obj *)&BDY(r));
        !           575:   }
        !           576:   if ( r0 ) NEXT(r) = 0;
        !           577:   MKLIST(*rp,r0);
        !           578: }
        !           579:
        !           580: void dp_f4_mod_main(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp)
        !           581: {
        !           582:   int homogen;
        !           583:   VL fv,vv,vc;
        !           584:   DP b,c,c1;
        !           585:   NODE fd,fd0,r,r0,t,x,s,xx;
        !           586:   int input_is_dp = 0;
        !           587:
        !           588:   dp_fcoeffs = 0;
        !           589:   get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);
        !           590:   NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;
        !           591:   CNVars = NVars;
        !           592:   if ( ord->id && NVars != ord->nv )
        !           593:     error("dp_f4_mod_main : invalid order specification");
        !           594:   initd(ord);
        !           595:   for ( fd0 = 0, t = BDY(f), homogen = 1; t; t = NEXT(t) ) {
        !           596:     if ( BDY(t) && OID(BDY(t)) == O_DP ) {
        !           597:       dp_sort((DP)BDY(t),&b); input_is_dp = 1;
        !           598:     } else
        !           599:       ptod(CO,vv,(P)BDY(t),&b);
        !           600:     if ( homogen )
        !           601:       homogen = dp_homogeneous(b);
        !           602:     _dp_mod(b,m,0,&c);
        !           603:     _dp_monic(c,m,&c1);
        !           604:     if ( c ) {
        !           605:       NEXTNODE(fd0,fd); BDY(fd) = (pointer)c1;
        !           606:     }
        !           607:   }
        !           608:   if ( fd0 ) NEXT(fd) = 0;
        !           609:   setup_arrays(fd0,m,&s);
        !           610:   init_stat();
        !           611:   if ( do_weyl )
        !           612:     x = gb_f4_mod_old(s,m);
        !           613:   else
        !           614:     x = gb_f4_mod(s,m);
        !           615:   if ( !homogen ) {
        !           616:     reduceall_mod(x,m,&xx); x = xx;
        !           617:   }
        !           618:   for ( r0 = 0; x; x = NEXT(x) ) {
        !           619:     NEXTNODE(r0,r);
        !           620:     if ( input_is_dp )
        !           621:       _mdtodp(ps[(long)BDY(x)],(DP *)&BDY(r));
        !           622:     else
        !           623:       _dtop_mod(CO,vv,ps[(long)BDY(x)],(P *)&BDY(r));
        !           624:   }
        !           625:   if ( r0 ) NEXT(r) = 0;
        !           626:   MKLIST(*rp,r0);
        !           627:   print_stat();
        !           628: }
        !           629:
        !           630: NODE gb_f4(NODE f)
        !           631: {
        !           632:   int i,k,nh,row,col,nv;
        !           633:   NODE r,g,gall;
        !           634:   NODE s,s0;
        !           635:   DP_pairs d,dm,dr,t;
        !           636:   DP nf,nf1,f2,sp,sd,tdp;
        !           637:   MP mp,mp0;
        !           638:   NODE blist,bt;
        !           639:   DL *ht,*at;
        !           640:   MAT mat,nm;
        !           641:   int *rind,*cind;
        !           642:   int rank,nred;
        !           643:   Z dn;
        !           644:   struct oEGT tmp0,tmp1,eg_split_symb;
        !           645:   extern struct oEGT eg_mod,eg_elim,eg_chrem,eg_gschk,eg_intrat,eg_symb;
        !           646:
        !           647:   init_eg(&eg_mod); init_eg(&eg_elim); init_eg(&eg_chrem);
        !           648:   init_eg(&eg_gschk); init_eg(&eg_intrat); init_eg(&eg_symb);
        !           649:
        !           650:   doing_f4 = 1;
        !           651:   for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {
        !           652:     i = (long)BDY(r);
        !           653:     d = updpairs(d,g,i);
        !           654:     g = updbase(g,i);
        !           655:     gall = append_one(gall,i);
        !           656:   }
        !           657:   if ( gall )
        !           658:     nv = ((DP)ps[(long)BDY(gall)])->nv;
        !           659:   while ( d ) {
        !           660:     get_eg(&tmp0);
        !           661:     minsugar(d,&dm,&dr); d = dr;
        !           662:     if ( DP_Print )
        !           663:       fprintf(asir_out,"sugar=%d\n",dm->sugar);
        !           664:     blist = 0; s0 = 0;
        !           665:     /* asph : sum of all head terms of spoly */
        !           666:     for ( t = dm; t; t = NEXT(t) ) {
        !           667:       dp_sp(ps[t->dp1],ps[t->dp2],&sp);
        !           668:       if ( sp ) {
        !           669:         MKNODE(bt,sp,blist); blist = bt;
        !           670:         s0 = symb_merge(s0,dp_dllist(sp),nv);
        !           671:       }
        !           672:     }
        !           673:     /* s0 : all the terms appeared in symbolic redunction */
        !           674:     for ( s = s0, nred = 0; s; s = NEXT(s) ) {
        !           675:       for ( r = gall;  r; r = NEXT(r) )
        !           676:         if ( _dl_redble(BDY(ps[(long)BDY(r)])->dl,BDY(s),nv) )
        !           677:           break;
        !           678:       if ( r ) {
        !           679:         dltod(BDY(s),nv,&tdp);
        !           680:         dp_subd(tdp,ps[(long)BDY(r)],&sd);
        !           681:         muld(CO,sd,ps[(long)BDY(r)],&f2);
        !           682:         MKNODE(bt,f2,blist); blist = bt;
        !           683:         s = symb_merge(s,dp_dllist(f2),nv);
        !           684:         nred++;
        !           685:       }
        !           686:     }
        !           687:
        !           688:     /* the first nred polys in blist are reducers */
        !           689:     /* row = the number of all the polys */
        !           690:     for ( r = blist, row = 0; r; r = NEXT(r), row++ );
        !           691:     ht = (DL *)MALLOC(nred*sizeof(DL));
        !           692:     for ( r = blist, i = 0; i < nred; r = NEXT(r), i++ )
        !           693:       ht[i] = BDY((DP)BDY(r))->dl;
        !           694:     for ( s = s0, col = 0; s; s = NEXT(s), col++ );
        !           695:     at = (DL *)MALLOC(col*sizeof(DL));
        !           696:     for ( s = s0, i = 0; i < col; s = NEXT(s), i++ )
        !           697:       at[i] = (DL)BDY(s);
        !           698:     MKMAT(mat,row,col);
        !           699:     for ( i = 0, r = blist; i < row; r = NEXT(r), i++ )
        !           700:       dp_to_vect(BDY(r),at,(Q *)mat->body[i]);
        !           701:     get_eg(&tmp1); add_eg(&eg_symb,&tmp0,&tmp1);
        !           702:     init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);
        !           703:     if ( DP_Print ) {
        !           704:       print_eg("Symb",&eg_split_symb);
        !           705:       fprintf(asir_out,"mat : %d x %d",row,col);
        !           706:       fflush(asir_out);
        !           707:     }
        !           708: #if 0
        !           709:     rank = generic_gauss_elim_hensel(mat,&nm,&dn,&rind,&cind);
        !           710: #else
        !           711:     rank = generic_gauss_elim(mat,&nm,&dn,&rind,&cind);
        !           712: #endif
        !           713:     if ( DP_Print )
        !           714:       fprintf(asir_out,"done rank = %d\n",rank,row,col);
        !           715:     for ( i = 0; i < rank; i++ ) {
        !           716:       for ( k = 0; k < nred; k++ )
        !           717:         if ( !cmpdl(nv,at[rind[i]],ht[k]) )
        !           718:           break;
        !           719:       if ( k == nred ) {
        !           720:         /* this is a new base */
        !           721:         mp0 = 0;
        !           722:         NEXTMP(mp0,mp); mp->dl = at[rind[i]]; mp->c = (Obj)dn;
        !           723:         for ( k = 0; k < col-rank; k++ )
        !           724:           if ( nm->body[i][k] ) {
        !           725:             NEXTMP(mp0,mp); mp->dl = at[cind[k]];
        !           726:             mp->c = (Obj)nm->body[i][k];
        !           727:           }
        !           728:         NEXT(mp) = 0;
        !           729:         MKDP(nv,mp0,nf); nf->sugar = dm->sugar;
        !           730:         dp_ptozp(nf,&nf1);
        !           731:         nh = newps(nf1,0,0);
        !           732:         d = updpairs(d,g,nh);
        !           733:         g = updbase(g,nh);
        !           734:         gall = append_one(gall,nh);
        !           735:       }
        !           736:     }
        !           737:   }
        !           738:   if ( DP_Print ) {
        !           739:     print_eg("Symb",&eg_symb);
        !           740:     print_eg("Mod",&eg_mod); print_eg("GaussElim",&eg_elim);
        !           741:     print_eg("ChRem",&eg_chrem); print_eg("IntToRat",&eg_intrat);
        !           742:     print_eg("Check",&eg_gschk);
        !           743:   }
        !           744:   return g;
        !           745: }
        !           746:
        !           747: /* initial bases are monic */
        !           748:
        !           749: unsigned int **psca;
        !           750: GeoBucket create_bucket();
        !           751: DL remove_head_bucket(GeoBucket,int);
        !           752:
        !           753: NODE gb_f4_mod(NODE f,int m)
        !           754: {
        !           755:   int i,j,k,nh,row,col,nv;
        !           756:   NODE r,g,gall;
        !           757:   NODE s,s0;
        !           758:   DP_pairs d,dm,dr,t;
        !           759:   DP nf,sp,sd,tdp;
        !           760:   MP mp,mp0;
        !           761:   NODE blist,bt,bt1,dt;
        !           762:   DL *at,*st;
        !           763:   int **spmat;
        !           764:   CDP *redmat;
        !           765:   int *colstat,*w,*w1;
        !           766:   int rank,nred,nsp,nsp0,nonzero,spcol;
        !           767:   int *indred,*isred;
        !           768:   CDP ri;
        !           769:   int pscalen;
        !           770:   GeoBucket bucket;
        !           771:   DL head;
        !           772:   struct oEGT tmp0,tmp1,eg_split_symb,eg_split_conv,eg_split_elim1,eg_split_elim2;
        !           773:   extern struct oEGT eg_symb,eg_conv,eg_elim1,eg_elim2;
        !           774:
        !           775:   /* initialize coeffcient array list of ps[] */
        !           776:   pscalen = pslen;
        !           777:   psca = (unsigned int **)MALLOC(pscalen*sizeof(unsigned int *));
        !           778:
        !           779:   init_eg(&eg_symb); init_eg(&eg_conv); init_eg(&eg_elim1); init_eg(&eg_elim2);
        !           780:   for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {
        !           781:     i = (long)BDY(r);
        !           782:     d = updpairs(d,g,i);
        !           783:     g = updbase(g,i);
        !           784:     gall = append_one(gall,i);
        !           785:     dptoca(ps[i],&psca[i]);
        !           786:   }
        !           787:   if ( gall )
        !           788:     nv = ((DP)ps[(long)BDY(gall)])->nv;
        !           789:   while ( d ) {
        !           790:     get_eg(&tmp0);
        !           791:     minsugar(d,&dm,&dr); d = dr;
        !           792:     if ( DP_Print )
        !           793:       fprintf(asir_out,"sugar=%d\n",dm->sugar);
        !           794:     blist = 0;
        !           795:     bucket = create_bucket();
        !           796:     /* asph : sum of all head terms of spoly */
        !           797:     for ( t = dm; t; t = NEXT(t) ) {
        !           798:       _dp_sp_mod(ps[t->dp1],ps[t->dp2],m,&sp);
        !           799: /*      fprintf(stderr,"splen=%d-",dp_nt(sp)); */
        !           800:       if ( sp ) {
        !           801:         MKNODE(bt,sp,blist); blist = bt;
        !           802:         add_bucket(bucket,dp_dllist(sp),nv);
        !           803: /*        fprintf(stderr,"%d-",length(s0)); */
        !           804:       }
        !           805:     }
        !           806: #if 0
        !           807:     if ( DP_Print )
        !           808:       fprintf(asir_out,"initial spmat : %d x %d ",length(blist),length(s0));
        !           809: #endif
        !           810:     /* s0 : all the terms appeared in symbolic reduction */
        !           811:     nred = 0;
        !           812:     s0 = 0;
        !           813:     while ( 1 ) {
        !           814:       head = remove_head_bucket(bucket,nv);
        !           815:       if ( !head ) break;
        !           816:       else {
        !           817:         NEXTNODE(s0,s);
        !           818:         BDY(s) = (pointer)head;
        !           819:       }
        !           820:       for ( r = gall;  r; r = NEXT(r) )
        !           821:         if ( _dl_redble(BDY(ps[(long)BDY(r)])->dl,head,nv) )
        !           822:           break;
        !           823:       if ( r ) {
        !           824:         dltod(head,nv,&tdp);
        !           825:         dp_subd(tdp,ps[(long)BDY(r)],&sd);
        !           826:         dt = mul_dllist(BDY(sd)->dl,ps[(long)BDY(r)]);
        !           827:         add_bucket(bucket,NEXT(dt),nv);
        !           828: /*        fprintf(stderr,"[%d]",length(dt)); */
        !           829:         /* list of [t,f] */
        !           830:         bt1 = mknode(2,BDY(sd)->dl,BDY(r));
        !           831:         MKNODE(bt,bt1,blist); blist = bt;
        !           832: /*        fprintf(stderr,"%d-",length(s0));  */
        !           833:         nred++;
        !           834:       }
        !           835:     }
        !           836:     if ( s0 ) NEXT(s) = 0;
        !           837: /*    fprintf(stderr,"\n"); */
        !           838:     get_eg(&tmp1); add_eg(&eg_symb,&tmp0,&tmp1);
        !           839:     init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);
        !           840:
        !           841:     if ( DP_Print )
        !           842:       fprintf(asir_out,"number of reducers : %d\n",nred);
        !           843:
        !           844:     get_eg(&tmp0);
        !           845:     /* the first nred polys in blist are reducers */
        !           846:     /* row = the number of all the polys */
        !           847:     for ( r = blist, row = 0; r; r = NEXT(r), row++ );
        !           848:
        !           849:     /* col = number of all terms */
        !           850:     for ( s = s0, col = 0; s; s = NEXT(s), col++ );
        !           851:
        !           852:     /* head terms of all terms */
        !           853:     at = (DL *)MALLOC(col*sizeof(DL));
        !           854:     for ( s = s0, i = 0; i < col; s = NEXT(s), i++ )
        !           855:       at[i] = (DL)BDY(s);
        !           856:
        !           857:     /* store coefficients separately in spmat and redmat */
        !           858:     nsp = row-nred;
        !           859:
        !           860:     /* reducer matrix */
        !           861:     /* indred : register the position of the head term */
        !           862:     redmat = (CDP *)MALLOC(nred*sizeof(CDP));
        !           863:     for ( i = 0, r = blist; i < nred; r = NEXT(r), i++ )
        !           864:       _tf_to_vect_compress(BDY(r),at,&redmat[i]);
        !           865:
        !           866:     /* register the position of the head term */
        !           867:     indred = (int *)MALLOC_ATOMIC(nred*sizeof(int));
        !           868:     bzero(indred,nred*sizeof(int));
        !           869:     isred = (int *)MALLOC_ATOMIC(col*sizeof(int));
        !           870:     bzero(isred,col*sizeof(int));
        !           871:     for ( i = 0; i < nred; i++ ) {
        !           872:       ri = redmat[i];
        !           873:       indred[i] = ri->body[0];
        !           874:       isred[indred[i]] = 1;
        !           875:     }
        !           876:
        !           877:     spcol = col-nred;
        !           878:     /* head terms not in ht */
        !           879:     st = (DL *)MALLOC(spcol*sizeof(DL));
        !           880:     for ( j = 0, k = 0; j < col; j++ )
        !           881:       if ( !isred[j] )
        !           882:         st[k++] = at[j];
        !           883:     get_eg(&tmp1); add_eg(&eg_conv,&tmp0,&tmp1);
        !           884:     init_eg(&eg_split_conv); add_eg(&eg_split_conv,&tmp0,&tmp1);
        !           885:
        !           886:     get_eg(&tmp1);
        !           887:     /* spoly matrix; stored in reduced form; terms in ht[] are omitted */
        !           888:     spmat = (int **)MALLOC(nsp*sizeof(int *));
        !           889:     w = (int *)MALLOC_ATOMIC(col*sizeof(int));
        !           890:
        !           891:     /* skip reducers in blist */
        !           892:     for ( i = 0, r = blist; i < nred; r = NEXT(r), i++ );
        !           893:     for ( i = 0; r; r = NEXT(r) ) {
        !           894:       bzero(w,col*sizeof(int));
        !           895:       _dpmod_to_vect(BDY(r),at,w);
        !           896:       reduce_sp_by_red_mod_compress(w,redmat,indred,nred,col,m);
        !           897:       for ( j = 0; j < col; j++ )
        !           898:         if ( w[j] )
        !           899:           break;
        !           900:       if ( j < col ) {
        !           901:         w1 = (int *)MALLOC_ATOMIC(spcol*sizeof(int));
        !           902:         for ( j = 0, k = 0; j < col; j++ )
        !           903:           if ( !isred[j] )
        !           904:             w1[k++] = w[j];
        !           905:         spmat[i] = w1;
        !           906:         i++;
        !           907:       }
        !           908:     }
        !           909:     /* update nsp */
        !           910:     nsp0 = nsp;
        !           911:     nsp = i;
        !           912:
        !           913:     /* XXX free redmat explicitly */
        !           914:     for ( k = 0; k < nred; k++ ) {
        !           915:       GCFREE(BDY(redmat[k]));
        !           916:       GCFREE(redmat[k]);
        !           917:     }
        !           918:
        !           919:     get_eg(&tmp0); add_eg(&eg_elim1,&tmp1,&tmp0);
        !           920:     init_eg(&eg_split_elim1); add_eg(&eg_split_elim1,&tmp1,&tmp0);
        !           921:
        !           922:     colstat = (int *)MALLOC_ATOMIC(spcol*sizeof(int));
        !           923:     bzero(colstat,spcol*sizeof(int));
        !           924:     for ( i = 0, nonzero=0; i < nsp; i++ )
        !           925:       for ( j = 0; j < spcol; j++ )
        !           926:         if ( spmat[i][j] )
        !           927:           nonzero++;
        !           928:     if ( DP_Print && nsp )
        !           929:       fprintf(asir_out,"spmat : %d x %d (nonzero=%f%%)...",
        !           930:         nsp,spcol,((double)nonzero*100)/(nsp*spcol));
        !           931:     if ( nsp )
        !           932:       rank = generic_gauss_elim_mod(spmat,nsp,spcol,m,colstat);
        !           933:     else
        !           934:       rank = 0;
        !           935:     get_eg(&tmp1); add_eg(&eg_elim2,&tmp0,&tmp1);
        !           936:     init_eg(&eg_split_elim2); add_eg(&eg_split_elim2,&tmp0,&tmp1);
        !           937:
        !           938:     if ( DP_Print ) {
        !           939:       fprintf(asir_out,"done rank = %d\n",rank,row,col);
        !           940:       print_eg("Symb",&eg_split_symb);
        !           941:       print_eg("Conv",&eg_split_conv);
        !           942:       print_eg("Elim1",&eg_split_elim1);
        !           943:       print_eg("Elim2",&eg_split_elim2);
        !           944:       fprintf(asir_out,"\n");
        !           945:     }
        !           946:
        !           947:     NZR += rank;
        !           948:     ZR += nsp0-rank;
        !           949:
        !           950:     if ( !rank )
        !           951:       continue;
        !           952:
        !           953:     for ( j = 0, i = 0; j < spcol; j++ )
        !           954:       if ( colstat[j] ) {
        !           955:         mp0 = 0;
        !           956:         NEXTMP(mp0,mp); mp->dl = st[j]; mp->c = (Obj)STOI(1);
        !           957:         for ( k = j+1; k < spcol; k++ )
        !           958:           if ( !colstat[k] && spmat[i][k] ) {
        !           959:             NEXTMP(mp0,mp); mp->dl = st[k];
        !           960:             mp->c = (Obj)STOI(spmat[i][k]);
        !           961:         }
        !           962:         NEXT(mp) = 0;
        !           963:         MKDP(nv,mp0,nf); nf->sugar = dm->sugar;
        !           964:         nh = newps_mod(nf,m);
        !           965:         if ( nh == pscalen ) {
        !           966:           psca = (unsigned int **)
        !           967:             REALLOC(psca,2*pscalen*sizeof(unsigned int *));
        !           968:           pscalen *= 2;
        !           969:         }
        !           970:         dptoca(ps[nh],&psca[nh]);
        !           971:         d = updpairs(d,g,nh);
        !           972:         g = updbase(g,nh);
        !           973:         gall = append_one(gall,nh);
        !           974:         i++;
        !           975:       }
        !           976:
        !           977:     /* XXX free spmat[] explicitly */
        !           978:     for ( j = 0; j < nsp; j++ ) {
        !           979:       GCFREE(spmat[j]);
        !           980:     }
        !           981:   }
        !           982:   if ( DP_Print ) {
        !           983:     print_eg("Symb",&eg_symb);
        !           984:     print_eg("Conv",&eg_conv);
        !           985:     print_eg("Elim1",&eg_elim1);
        !           986:     print_eg("Elim2",&eg_elim2);
        !           987:     fflush(asir_out);
        !           988:   }
        !           989:   return g;
        !           990: }
        !           991:
        !           992: NODE gb_f4_mod_old(NODE f,int m)
        !           993: {
        !           994:   int i,j,k,nh,row,col,nv;
        !           995:   NODE r,g,gall;
        !           996:   NODE s,s0;
        !           997:   DP_pairs d,dm,dr,t;
        !           998:   DP nf,f2,sp,sd,sdm,tdp;
        !           999:   MP mp,mp0;
        !          1000:   NODE blist,bt;
        !          1001:   DL *ht,*at,*st;
        !          1002:   int **spmat,**redmat;
        !          1003:   int *colstat,*w;
        !          1004:   int rank,nred,nsp,nonzero,spcol;
        !          1005:   int *indred,*isred,*ri;
        !          1006:   struct oEGT tmp0,tmp1,eg_split_symb,eg_split_elim1,eg_split_elim2;
        !          1007:   extern struct oEGT eg_symb,eg_elim1,eg_elim2;
        !          1008:
        !          1009:   init_eg(&eg_symb); init_eg(&eg_elim1); init_eg(&eg_elim2);
        !          1010:   for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {
        !          1011:     i = (long)BDY(r);
        !          1012:     d = updpairs(d,g,i);
        !          1013:     g = updbase(g,i);
        !          1014:     gall = append_one(gall,i);
        !          1015:   }
        !          1016:   if ( gall )
        !          1017:     nv = ((DP)ps[(long)BDY(gall)])->nv;
        !          1018:   while ( d ) {
        !          1019:     get_eg(&tmp0);
        !          1020:     minsugar(d,&dm,&dr); d = dr;
        !          1021:     if ( DP_Print )
        !          1022:       fprintf(asir_out,"sugar=%d\n",dm->sugar);
        !          1023:     blist = 0; s0 = 0;
        !          1024:     /* asph : sum of all head terms of spoly */
        !          1025:     for ( t = dm; t; t = NEXT(t) ) {
        !          1026:       _dp_sp_mod(ps[t->dp1],ps[t->dp2],m,&sp);
        !          1027:       if ( sp ) {
        !          1028:         MKNODE(bt,sp,blist); blist = bt;
        !          1029:         s0 = symb_merge(s0,dp_dllist(sp),nv);
        !          1030:       }
        !          1031:     }
        !          1032:     /* s0 : all the terms appeared in symbolic redunction */
        !          1033:     for ( s = s0, nred = 0; s; s = NEXT(s) ) {
        !          1034:       for ( r = gall;  r; r = NEXT(r) )
        !          1035:         if ( _dl_redble(BDY(ps[(long)BDY(r)])->dl,BDY(s),nv) )
        !          1036:           break;
        !          1037:       if ( r ) {
        !          1038:         dltod(BDY(s),nv,&tdp);
        !          1039:         dp_subd(tdp,ps[(long)BDY(r)],&sd);
        !          1040:         _dp_mod(sd,m,0,&sdm);
        !          1041:         mulmd_dup(m,sdm,ps[(long)BDY(r)],&f2);
        !          1042:         MKNODE(bt,f2,blist); blist = bt;
        !          1043:         s = symb_merge(s,dp_dllist(f2),nv);
        !          1044:         nred++;
        !          1045:       }
        !          1046:     }
        !          1047:
        !          1048:     get_eg(&tmp1); add_eg(&eg_symb,&tmp0,&tmp1);
        !          1049:     init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);
        !          1050:
        !          1051:     /* the first nred polys in blist are reducers */
        !          1052:     /* row = the number of all the polys */
        !          1053:     for ( r = blist, row = 0; r; r = NEXT(r), row++ );
        !          1054:
        !          1055:     /* head terms of reducers */
        !          1056:     ht = (DL *)MALLOC(nred*sizeof(DL));
        !          1057:     for ( r = blist, i = 0; i < nred; r = NEXT(r), i++ )
        !          1058:       ht[i] = BDY((DP)BDY(r))->dl;
        !          1059:
        !          1060:     /* col = number of all terms */
        !          1061:     for ( s = s0, col = 0; s; s = NEXT(s), col++ );
        !          1062:
        !          1063:     /* head terms of all terms */
        !          1064:     at = (DL *)MALLOC(col*sizeof(DL));
        !          1065:     for ( s = s0, i = 0; i < col; s = NEXT(s), i++ )
        !          1066:       at[i] = (DL)BDY(s);
        !          1067:
        !          1068:     /* store coefficients separately in spmat and redmat */
        !          1069:     nsp = row-nred;
        !          1070:
        !          1071:     /* reducer matrix */
        !          1072:     redmat = (int **)almat(nred,col);
        !          1073:     for ( i = 0, r = blist; i < nred; r = NEXT(r), i++ )
        !          1074:       _dpmod_to_vect(BDY(r),at,redmat[i]);
        !          1075:     /* XXX */
        !          1076: /*    reduce_reducers_mod(redmat,nred,col,m); */
        !          1077:     /* register the position of the head term */
        !          1078:     indred = (int *)MALLOC(nred*sizeof(int));
        !          1079:     bzero(indred,nred*sizeof(int));
        !          1080:     isred = (int *)MALLOC(col*sizeof(int));
        !          1081:     bzero(isred,col*sizeof(int));
        !          1082:     for ( i = 0; i < nred; i++ ) {
        !          1083:       ri = redmat[i];
        !          1084:       for ( j = 0; j < col && !ri[j]; j++ );
        !          1085:       indred[i] = j;
        !          1086:       isred[j] = 1;
        !          1087:     }
        !          1088:
        !          1089:     spcol = col-nred;
        !          1090:     /* head terms not in ht */
        !          1091:     st = (DL *)MALLOC(spcol*sizeof(DL));
        !          1092:     for ( j = 0, k = 0; j < col; j++ )
        !          1093:       if ( !isred[j] )
        !          1094:         st[k++] = at[j];
        !          1095:
        !          1096:     /* spoly matrix; stored in reduced form; terms in ht[] are omitted */
        !          1097:     spmat = almat(nsp,spcol);
        !          1098:     w = (int *)MALLOC(col*sizeof(int));
        !          1099:     for ( ; i < row; r = NEXT(r), i++ ) {
        !          1100:       bzero(w,col*sizeof(int));
        !          1101:       _dpmod_to_vect(BDY(r),at,w);
        !          1102:       reduce_sp_by_red_mod(w,redmat,indred,nred,col,m);
        !          1103:       for ( j = 0, k = 0; j < col; j++ )
        !          1104:         if ( !isred[j] )
        !          1105:           spmat[i-nred][k++] = w[j];
        !          1106:     }
        !          1107:
        !          1108:     get_eg(&tmp0); add_eg(&eg_elim1,&tmp1,&tmp0);
        !          1109:     init_eg(&eg_split_elim1); add_eg(&eg_split_elim1,&tmp1,&tmp0);
        !          1110:
        !          1111:     colstat = (int *)MALLOC_ATOMIC(spcol*sizeof(int));
        !          1112:     for ( i = 0, nonzero=0; i < nsp; i++ )
        !          1113:       for ( j = 0; j < spcol; j++ )
        !          1114:         if ( spmat[i][j] )
        !          1115:           nonzero++;
        !          1116:     if ( DP_Print && nsp )
        !          1117:       fprintf(asir_out,"spmat : %d x %d (nonzero=%f%%)...",
        !          1118:         nsp,spcol,((double)nonzero*100)/(nsp*spcol));
        !          1119:     if ( nsp )
        !          1120:       rank = generic_gauss_elim_mod(spmat,nsp,spcol,m,colstat);
        !          1121:     else
        !          1122:       rank = 0;
        !          1123:     get_eg(&tmp1); add_eg(&eg_elim2,&tmp0,&tmp1);
        !          1124:     init_eg(&eg_split_elim2); add_eg(&eg_split_elim2,&tmp0,&tmp1);
        !          1125:
        !          1126:     if ( DP_Print ) {
        !          1127:       fprintf(asir_out,"done rank = %d\n",rank,row,col);
        !          1128:       print_eg("Symb",&eg_split_symb);
        !          1129:       print_eg("Elim1",&eg_split_elim1);
        !          1130:       print_eg("Elim2",&eg_split_elim2);
        !          1131:       fprintf(asir_out,"\n");
        !          1132:     }
        !          1133:     for ( j = 0, i = 0; j < spcol; j++ )
        !          1134:       if ( colstat[j] ) {
        !          1135:         mp0 = 0;
        !          1136:         NEXTMP(mp0,mp); mp->dl = st[j]; mp->c = (Obj)STOI(1);
        !          1137:         for ( k = j+1; k < spcol; k++ )
        !          1138:           if ( !colstat[k] && spmat[i][k] ) {
        !          1139:             NEXTMP(mp0,mp); mp->dl = st[k];
        !          1140:             mp->c = (Obj)STOI(spmat[i][k]);
        !          1141:         }
        !          1142:         NEXT(mp) = 0;
        !          1143:         MKDP(nv,mp0,nf); nf->sugar = dm->sugar;
        !          1144:         nh = newps_mod(nf,m);
        !          1145:         d = updpairs(d,g,nh);
        !          1146:         g = updbase(g,nh);
        !          1147:         gall = append_one(gall,nh);
        !          1148:         i++;
        !          1149:       }
        !          1150:   }
        !          1151:   if ( DP_Print ) {
        !          1152:     print_eg("Symb",&eg_symb);
        !          1153:     print_eg("Elim1",&eg_elim1);
        !          1154:     print_eg("Elim2",&eg_elim2);
        !          1155:     fflush(asir_out);
        !          1156:   }
        !          1157:   return g;
        !          1158: }
        !          1159:
        !          1160: int DPPlength(DP_pairs n)
        !          1161: {
        !          1162:   int i;
        !          1163:
        !          1164:   for ( i = 0; n; n = NEXT(n), i++ );
        !          1165:   return i;
        !          1166: }
        !          1167:
        !          1168: void printdl(DL dl)
        !          1169: {
        !          1170:   int i;
        !          1171:
        !          1172:   fprintf(asir_out,"<<");
        !          1173:   for ( i = 0; i < CNVars-1; i++ )
        !          1174:     fprintf(asir_out,"%d,",dl->d[i]);
        !          1175:   fprintf(asir_out,"%d>>",dl->d[i]);
        !          1176: }
        !          1177:
        !          1178: void pltovl(LIST l,VL *vl)
        !          1179: {
        !          1180:   NODE n;
        !          1181:   VL r,r0;
        !          1182:
        !          1183:   n = BDY(l);
        !          1184:   for ( r0 = 0; n; n = NEXT(n) ) {
        !          1185:     NEXTVL(r0,r); r->v = VR((P)BDY(n));
        !          1186:   }
        !          1187:   if ( r0 ) NEXT(r) = 0;
        !          1188:   *vl = r0;
        !          1189: }
        !          1190:
        !          1191: void vltopl(VL vl,LIST *l)
        !          1192: {
        !          1193:   VL n;
        !          1194:   NODE r,r0;
        !          1195:   P p;
        !          1196:
        !          1197:   n = vl;
        !          1198:   for ( r0 = 0; n; n = NEXT(n) ) {
        !          1199:     NEXTNODE(r0,r); MKV(n->v,p); BDY(r) = (pointer)p;
        !          1200:   }
        !          1201:   if ( r0 ) NEXT(r) = 0;
        !          1202:   MKLIST(*l,r0);
        !          1203: }
        !          1204:
        !          1205: void makesubst(VL v,NODE *s)
        !          1206: {
        !          1207:   NODE r,r0;
        !          1208:   Z q;
        !          1209:   unsigned int n;
        !          1210:
        !          1211:   for ( r0 = 0; v; v = NEXT(v) ) {
        !          1212:     NEXTNODE(r0,r); BDY(r) = (pointer)v->v;
        !          1213: #if defined(_PA_RISC1_1)
        !          1214:     n = mrand48()&BMASK; UTOQ(n,q);
        !          1215: #else
        !          1216:     n = random(); UTOQ(n,q);
        !          1217: #endif
        !          1218:     NEXTNODE(r0,r); BDY(r) = (pointer)q;
        !          1219:   }
        !          1220:   if ( r0 ) NEXT(r) = 0;
        !          1221:   *s = r0;
        !          1222: }
        !          1223:
        !          1224: void printsubst(NODE s)
        !          1225: {
        !          1226:   fputc('[',asir_out);
        !          1227:   while ( s ) {
        !          1228:     printv(CO,(V)BDY(s)); s = NEXT(s);
        !          1229:     fprintf(asir_out,"->%d",QTOS((Q)BDY(s)));
        !          1230:     if ( NEXT(s) ) {
        !          1231:       fputc(',',asir_out); s = NEXT(s);
        !          1232:     } else
        !          1233:       break;
        !          1234:   }
        !          1235:   fprintf(asir_out,"]\n"); return;
        !          1236: }
        !          1237:
        !          1238: void vlminus(VL v,VL w,VL *d)
        !          1239: {
        !          1240:   int i,j,n,m;
        !          1241:   V *va,*wa;
        !          1242:   V a;
        !          1243:   VL r,r0;
        !          1244:   VL t;
        !          1245:
        !          1246:   for ( n = 0, t = v; t; t = NEXT(t), n++ );
        !          1247:   va = (V *)ALLOCA(n*sizeof(V));
        !          1248:   for ( i = 0, t = v; t; t = NEXT(t), i++ )
        !          1249:     va[i] = t->v;
        !          1250:   for ( m = 0, t = w; t; t = NEXT(t), m++ );
        !          1251:   wa = (V *)ALLOCA(m*sizeof(V));
        !          1252:   for ( i = 0, t = w; t; t = NEXT(t), i++ )
        !          1253:     wa[i] = t->v;
        !          1254:   for ( i = 0; i < n; i++ ) {
        !          1255:     a = va[i];
        !          1256:     for ( j = 0; j < m; j++ )
        !          1257:       if ( a == wa[j] )
        !          1258:         break;
        !          1259:     if ( j < m )
        !          1260:       va[i] = 0;
        !          1261:   }
        !          1262:   for ( r0 = 0, i = 0; i < n; i++ )
        !          1263:     if ( va[i] ) { NEXTVL(r0,r); r->v = va[i];  }
        !          1264:   if ( r0 ) NEXT(r) = 0;
        !          1265:   *d = r0;
        !          1266: }
        !          1267:
        !          1268: int validhc(P a,int m,NODE s)
        !          1269: {
        !          1270:   P c,c1;
        !          1271:   V v;
        !          1272:
        !          1273:   if ( !a )
        !          1274:     return 0;
        !          1275:   for ( c = a; s; s = NEXT(s) ) {
        !          1276:     v = (V)BDY(s); s = NEXT(s);
        !          1277:     substp(CO,c,v,(P)BDY(s),&c1); c = c1;
        !          1278:   }
        !          1279:   ptomp(m,c,&c1);
        !          1280:   return c1 ? 1 : 0;
        !          1281: }
        !          1282:
        !          1283: void setup_arrays(NODE f,int m,NODE *r)
        !          1284: {
        !          1285:   int i;
        !          1286:   NODE s,s0,f0;
        !          1287:
        !          1288: #if 1
        !          1289:   f0 = f = NODE_sortb(f,1);
        !          1290: #else
        !          1291:   f0 = f;
        !          1292: #endif
        !          1293:   psn = length(f); pslen = 2*psn;
        !          1294:   ps = (DP *)MALLOC(pslen*sizeof(DP));
        !          1295:   psh = (DL *)MALLOC(pslen*sizeof(DL));
        !          1296:   pss = (int *)MALLOC(pslen*sizeof(int));
        !          1297:   psc = (P *)MALLOC(pslen*sizeof(P));
        !          1298:   for ( i = 0; i < psn; i++, f = NEXT(f) ) {
        !          1299:     prim_part((DP)BDY(f),m,&ps[i]);
        !          1300:     if ( Demand )
        !          1301:       dp_save(i,(Obj)ps[i],0);
        !          1302:     psh[i] = BDY(ps[i])->dl;
        !          1303:     pss[i] = ps[i]->sugar;
        !          1304:     psc[i] = (P)BDY(ps[i])->c;
        !          1305:   }
        !          1306:   if ( GenTrace ) {
        !          1307:     Z q;
        !          1308:     STRING fname;
        !          1309:     LIST input;
        !          1310:     NODE arg,t,t1;
        !          1311:     Obj obj;
        !          1312:
        !          1313:     t = 0;
        !          1314:     for ( i = psn-1; i >= 0; i-- ) {
        !          1315:       MKNODE(t1,ps[i],t);
        !          1316:       t = t1;
        !          1317:     }
        !          1318:     MKLIST(input,t);
        !          1319:
        !          1320:     if ( OXCheck >= 0 ) {
        !          1321:       STOQ(OXCheck,q);
        !          1322:       MKSTR(fname,"register_input");
        !          1323:       arg = mknode(3,q,fname,input);
        !          1324:       Pox_cmo_rpc(arg,&obj);
        !          1325:     } else if ( OXCheck < 0 ) {
        !          1326:       MKNODE(AllTraceList,input,0);
        !          1327:     }
        !          1328:   }
        !          1329:   for ( s0 = 0, i = 0; i < psn; i++ ) {
        !          1330:     NEXTNODE(s0,s); BDY(s) = (pointer)((long)i);
        !          1331:   }
        !          1332:   if ( s0 ) NEXT(s) = 0;
        !          1333:   *r = s0;
        !          1334: }
        !          1335:
        !          1336: void prim_part(DP f,int m,DP *r)
        !          1337: {
        !          1338:   P d,t;
        !          1339:
        !          1340:   if ( m > 0 ) {
        !          1341:     if ( PCoeffs )
        !          1342:       dp_prim_mod(f,m,r);
        !          1343:     else
        !          1344:       _dp_monic(f,m,r);
        !          1345:   } else {
        !          1346:     if ( dp_fcoeffs || PCoeffs )
        !          1347:       dp_prim(f,r);
        !          1348:     else
        !          1349:       dp_ptozp(f,r);
        !          1350:     if ( GenTrace && TraceList ) {
        !          1351:       /* adust the denominator according to the final
        !          1352:          content reduction */
        !          1353:       divsp(CO,(P)BDY(f)->c,(P)BDY(*r)->c,&d);
        !          1354:       mulp(CO,(P)ARG3(BDY((LIST)BDY(TraceList))),d,&t);
        !          1355:       ARG3(BDY((LIST)BDY(TraceList))) = t;
        !          1356:     }
        !          1357:   }
        !          1358: }
        !          1359:
        !          1360: NODE /* of DP */ NODE_sortb_insert( DP newdp, NODE /* of DP */ nd, int dec )
        !          1361: {
        !          1362:   register NODE last, p;
        !          1363:   register DL newdl = BDY(newdp)->dl;
        !          1364:   register int (*cmpfun)() = cmpdl, nv = CNVars;
        !          1365:   NODE newnd;
        !          1366:   int sgn = dec ? 1 : -1;
        !          1367:   MKNODE( newnd, newdp, 0 );
        !          1368:   if ( !(last = nd) || sgn*(*cmpfun)( nv, newdl, BDY((DP) BDY(last))->dl ) > 0 ) {
        !          1369:     NEXT(newnd) = last;
        !          1370:     return newnd;
        !          1371:   }
        !          1372:   for ( ; p = NEXT(last); last = p )
        !          1373:     if ( sgn*(*cmpfun)( nv, newdl, BDY((DP) BDY(p))->dl ) > 0 ) break;
        !          1374:   if ( p ) NEXT(NEXT(last) = newnd) = p;
        !          1375:   else NEXT(last) = newnd;
        !          1376:   return nd;
        !          1377: }
        !          1378:
        !          1379: NODE NODE_sortb( NODE node, int dec )
        !          1380: {
        !          1381:   register NODE nd, ans;
        !          1382:
        !          1383:   for ( ans = 0, nd = node; nd; nd = NEXT(nd) )
        !          1384:     ans = NODE_sortb_insert( (DP) BDY(nd), ans, dec );
        !          1385:   return ans;
        !          1386: }
        !          1387:
        !          1388: NODE /* of index */ NODE_sortbi_insert( int newdpi, NODE /* of index */ nd, int dec )
        !          1389: {
        !          1390:   register NODE last, p;
        !          1391:   register DL newdl = psh[newdpi];
        !          1392:   register int (*cmpfun)() = cmpdl, nv = CNVars;
        !          1393:   NODE newnd;
        !          1394:   int sgn = dec ? 1 : -1;
        !          1395:   MKNODE( newnd, (pointer)((long)newdpi), 0 );
        !          1396:   if ( !(last = nd) || sgn*(*cmpfun)( nv, newdl, psh[(long)BDY(last)] ) > 0 ) {
        !          1397:     NEXT(newnd) = last;
        !          1398:     return newnd;
        !          1399:   }
        !          1400:   for ( ; p = NEXT(last); last = p )
        !          1401:     if ( sgn*(*cmpfun)( nv, newdl, psh[(long)BDY(p)] ) > 0 ) break;
        !          1402:   if ( p ) NEXT(NEXT(last) = newnd) = p;
        !          1403:   else NEXT(last) = newnd;
        !          1404:   return nd;
        !          1405: }
        !          1406:
        !          1407: NODE NODE_sortbi( NODE node, int dec )
        !          1408: {
        !          1409:   register NODE nd, ans;
        !          1410:
        !          1411:   for ( ans = 0, nd = node; nd; nd = NEXT(nd) )
        !          1412:     ans = NODE_sortbi_insert( (long) BDY(nd), ans, dec );
        !          1413:   return ans;
        !          1414: }
        !          1415:
        !          1416: void reduceall(NODE in,NODE *h)
        !          1417: {
        !          1418:   NODE r,t,top;
        !          1419:   int n,i,j;
        !          1420:   int *w;
        !          1421:   DP g,g1;
        !          1422:   struct oEGT tmp0,tmp1;
        !          1423:
        !          1424:   if ( NoRA ) {
        !          1425:     *h = in; return;
        !          1426:   }
        !          1427:   if ( DP_Print || DP_PrintShort ) {
        !          1428:     fprintf(asir_out,"reduceall\n"); fflush(asir_out);
        !          1429:   }
        !          1430:   r = NODE_sortbi(in,0);
        !          1431:   n = length(r);
        !          1432:   w = (int *)ALLOCA(n*sizeof(int));
        !          1433:   for ( i = 0, t = r; i < n; i++, t = NEXT(t) )
        !          1434:     w[i] = (long)BDY(t);
        !          1435:   /* w[i] < 0 : reduced to 0 */
        !          1436:   for ( i = 0; i < n; i++ ) {
        !          1437:     for ( top = 0, j = n-1; j >= 0; j-- )
        !          1438:       if ( w[j] >= 0 && j != i ) {
        !          1439:         MKNODE(t,(pointer)((long)w[j]),top); top = t;
        !          1440:       }
        !          1441:     get_eg(&tmp0);
        !          1442:     dp_load(w[i],&ps[w[i]]);
        !          1443:
        !          1444:     if ( GenTrace ) {
        !          1445:       Z q;
        !          1446:       NODE node;
        !          1447:       LIST hist;
        !          1448:
        !          1449:       STOQ(w[i],q);
        !          1450:       node = mknode(4,ONE,q,ONE,ONE);
        !          1451:       MKLIST(hist,node);
        !          1452:       MKNODE(TraceList,hist,0);
        !          1453:     }
        !          1454:     _dp_nf(top,ps[w[i]],ps,1,&g);
        !          1455:     prim_part(g,0,&g1);
        !          1456:     get_eg(&tmp1); add_eg(&eg_ra,&tmp0,&tmp1);
        !          1457:     if ( DP_Print || DP_PrintShort ) {
        !          1458:       fprintf(asir_out,"."); fflush(asir_out);
        !          1459:     }
        !          1460:     if ( g1 ) {
        !          1461:       w[i] = newps(g1,0,(NODE)0);
        !          1462:     } else {
        !          1463:       w[i] = -1;
        !          1464:     }
        !          1465:   }
        !          1466:   for ( top = 0, j = n-1; j >= 0; j-- ) {
        !          1467:     if ( w[j] >= 0 ) {
        !          1468:       MKNODE(t,(pointer)((long)w[j]),top); top = t;
        !          1469:     }
        !          1470:   }
        !          1471:   *h = top;
        !          1472:   if ( DP_Print || DP_PrintShort )
        !          1473:     fprintf(asir_out,"\n");
        !          1474: }
        !          1475:
        !          1476: void reduceall_mod(NODE in,int m,NODE *h)
        !          1477: {
        !          1478:   NODE r,t,top;
        !          1479:   int n,i,j;
        !          1480:   int *w;
        !          1481:   DP g,p;
        !          1482:   struct oEGT tmp0,tmp1;
        !          1483:
        !          1484:   if ( NoRA ) {
        !          1485:     *h = in; return;
        !          1486:   }
        !          1487:   if ( DP_Print || DP_PrintShort ) {
        !          1488:     fprintf(asir_out,"reduceall\n"); fflush(asir_out);
        !          1489:   }
        !          1490:   r = NODE_sortbi(in,0);
        !          1491:   n = length(r);
        !          1492:   w = (int *)ALLOCA(n*sizeof(int));
        !          1493:   for ( i = 0, t = r; i < n; i++, t = NEXT(t) )
        !          1494:     w[i] = (long)BDY(t);
        !          1495:   /* w[i] < 0 : reduced to 0 */
        !          1496:   for ( i = 0; i < n; i++ ) {
        !          1497:     for ( top = 0, j = n-1; j >= 0; j-- )
        !          1498:       if ( w[j] >= 0 && j != i ) {
        !          1499:         MKNODE(t,(pointer)((long)w[j]),top); top = t;
        !          1500:       }
        !          1501:     get_eg(&tmp0);
        !          1502:     if ( PCoeffs )
        !          1503:       dp_nf_mod(top,ps[w[i]],ps,m,1,&g);
        !          1504:     else {
        !          1505:       dpto_dp(ps[w[i]],&p);
        !          1506:       _dp_nf_mod_destructive(top,p,ps,m,1,&g);
        !          1507:     }
        !          1508:     get_eg(&tmp1); add_eg(&eg_ra,&tmp0,&tmp1);
        !          1509:     if ( DP_Print || DP_PrintShort ) {
        !          1510:       fprintf(asir_out,"."); fflush(asir_out);
        !          1511:     }
        !          1512:     if ( g ) {
        !          1513:       w[i] = newps_mod(g,m);
        !          1514:     } else {
        !          1515:       w[i] = -1;
        !          1516:     }
        !          1517:   }
        !          1518:   for ( top = 0, j = n-1; j >= 0; j-- ) {
        !          1519:     if ( w[j] >= 0 ) {
        !          1520:       MKNODE(t,(pointer)((long)w[j]),top); top = t;
        !          1521:     }
        !          1522:   }
        !          1523:   *h = top;
        !          1524:   if ( DP_Print || DP_PrintShort )
        !          1525:     fprintf(asir_out,"\n");
        !          1526: }
        !          1527:
        !          1528: int newps(DP a,int m,NODE subst)
        !          1529: {
        !          1530:   if ( m && !validhc(!a?0:(P)BDY(a)->c,m,subst) )
        !          1531:     return -1;
        !          1532:   if ( psn == pslen ) {
        !          1533:     pslen *= 2;
        !          1534:     ps = (DP *)REALLOC((char *)ps,pslen*sizeof(DP));
        !          1535:     psh = (DL *)REALLOC((char *)psh,pslen*sizeof(DL));
        !          1536:     pss = (int *)REALLOC((char *)pss,pslen*sizeof(int));
        !          1537:     psc = (P *)REALLOC((char *)psc,pslen*sizeof(P));
        !          1538:     if ( m )
        !          1539:       psm = (DP *)REALLOC((char *)psm,pslen*sizeof(DP));
        !          1540:   }
        !          1541:   if ( Demand ) {
        !          1542:     if ( doing_f4 )
        !          1543:       ps[psn] = a;
        !          1544:     else
        !          1545:       ps[psn] = 0;
        !          1546:     dp_save(psn,(Obj)a,0);
        !          1547:   } else
        !          1548:     ps[psn] = a;
        !          1549:   psh[psn] = BDY(a)->dl;
        !          1550:   pss[psn] = a->sugar;
        !          1551:   psc[psn] = (P)BDY(a)->c;
        !          1552:   if ( m )
        !          1553:     _dp_mod(a,m,subst,&psm[psn]);
        !          1554:   if ( GenTrace ) {
        !          1555:     NODE tn,tr,tr1;
        !          1556:     LIST trace,trace1;
        !          1557:     NODE arg;
        !          1558:     Z q1,q2;
        !          1559:     STRING fname;
        !          1560:     Obj obj;
        !          1561:
        !          1562:     /* reverse the TraceList */
        !          1563:     tn = TraceList;
        !          1564:     for ( tr = 0; tn; tn = NEXT(tn) ) {
        !          1565:       MKNODE(tr1,BDY(tn),tr); tr = tr1;
        !          1566:     }
        !          1567:     MKLIST(trace,tr);
        !          1568:     if ( OXCheck >= 0 ) {
        !          1569:       STOQ(OXCheck,q1);
        !          1570:       MKSTR(fname,"check_trace");
        !          1571:       STOQ(psn,q2);
        !          1572:       arg = mknode(5,q1,fname,a,q2,trace);
        !          1573:       Pox_cmo_rpc(arg,&obj);
        !          1574:     } else if ( OXCheck < 0 ) {
        !          1575:       STOQ(psn,q1);
        !          1576:       tn = mknode(2,q1,trace);
        !          1577:       MKLIST(trace1,tn);
        !          1578:       MKNODE(tr,trace1,AllTraceList);
        !          1579:       AllTraceList = tr;
        !          1580:     } else
        !          1581:       dp_save(psn,(Obj)trace,"t");
        !          1582:     TraceList = 0;
        !          1583:   }
        !          1584:   return psn++;
        !          1585: }
        !          1586:
        !          1587: int newps_nosave(DP a,int m,NODE subst)
        !          1588: {
        !          1589:   if ( m && !validhc(!a?0:(P)BDY(a)->c,m,subst) )
        !          1590:     return -1;
        !          1591:   if ( psn == pslen ) {
        !          1592:     pslen *= 2;
        !          1593:     ps = (DP *)REALLOC((char *)ps,pslen*sizeof(DP));
        !          1594:     psh = (DL *)REALLOC((char *)psh,pslen*sizeof(DL));
        !          1595:     pss = (int *)REALLOC((char *)pss,pslen*sizeof(int));
        !          1596:     psc = (P *)REALLOC((char *)psc,pslen*sizeof(P));
        !          1597:     if ( m )
        !          1598:       psm = (DP *)REALLOC((char *)psm,pslen*sizeof(DP));
        !          1599:   }
        !          1600:   ps[psn] = 0;
        !          1601:   psh[psn] = BDY(a)->dl;
        !          1602:   pss[psn] = a->sugar;
        !          1603:   psc[psn] = (P)BDY(a)->c;
        !          1604:   if ( m )
        !          1605:     _dp_mod(a,m,subst,&psm[psn]);
        !          1606:   return psn++;
        !          1607: }
        !          1608:
        !          1609: int newps_mod(DP a,int m)
        !          1610: {
        !          1611:   if ( psn == pslen ) {
        !          1612:     pslen *= 2;
        !          1613:     ps = (DP *)REALLOC((char *)ps,pslen*sizeof(DP));
        !          1614:     psh = (DL *)REALLOC((char *)psh,pslen*sizeof(DL));
        !          1615:     pss = (int *)REALLOC((char *)pss,pslen*sizeof(int));
        !          1616:     psc = (P *)REALLOC((char *)psc,pslen*sizeof(P)); /* XXX */
        !          1617:   }
        !          1618:   ps[psn] = a;
        !          1619:   psh[psn] = BDY(ps[psn])->dl;
        !          1620:   pss[psn] = ps[psn]->sugar;
        !          1621:   return psn++;
        !          1622: }
        !          1623:
        !          1624: void reducebase_dehomo(NODE f,NODE *g)
        !          1625: {
        !          1626:   long l;
        !          1627:   int n,i,j,k;
        !          1628:   int *r;
        !          1629:   DL *w,d;
        !          1630:   DP u;
        !          1631:   NODE t,top;
        !          1632:
        !          1633:   n = length(f);
        !          1634:   w = (DL *)ALLOCA(n*sizeof(DL));
        !          1635:   r = (int *)ALLOCA(n*sizeof(int));
        !          1636:   for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) {
        !          1637:     r[i] = (long)BDY(t); w[i] = psh[r[i]];
        !          1638:   }
        !          1639:   for ( i = 0; i < n; i++ ) {
        !          1640:     for ( j = 0, d = w[i]; j < n; j++ ) {
        !          1641:       if ( j != i ) {
        !          1642:         for ( k = 0; k < NVars; k++ )
        !          1643:           if ( d->d[k] < w[j]->d[k] )
        !          1644:             break;
        !          1645:         if ( k == NVars )
        !          1646:           break;
        !          1647:       }
        !          1648:     }
        !          1649:     if ( j != n )
        !          1650:       r[i] = -1;
        !          1651:   }
        !          1652:   for ( top = 0, i = n-1; i >= 0; i-- )
        !          1653:     if ( r[i] >= 0 ) {
        !          1654:       dp_load(r[i],&ps[r[i]]); dp_dehomo(ps[r[i]],&u);
        !          1655:       if ( GenTrace ) {
        !          1656:         Z q;
        !          1657:         LIST hist;
        !          1658:         NODE node;
        !          1659:
        !          1660:         STOQ(r[i],q);
        !          1661:         node = mknode(4,NULLP,q,NULLP,NULLP);
        !          1662:         MKLIST(hist,node);
        !          1663:         MKNODE(TraceList,hist,0);
        !          1664:       }
        !          1665:       l = newps(u,0,0);
        !          1666:       MKNODE(t,(pointer)l,top); top = t;
        !          1667:     }
        !          1668:   *g = top;
        !          1669: }
        !          1670:
        !          1671: NODE append_one(NODE f,long n)
        !          1672: {
        !          1673:   NODE t;
        !          1674:
        !          1675:   if ( Reverse || !f ) {
        !          1676:     MKNODE(t,(pointer)n,f); return t;
        !          1677:   } else {
        !          1678:     for ( t = f; NEXT(t); t = NEXT(t) );
        !          1679:     MKNODE(NEXT(t),(pointer)n,0);
        !          1680:     return f;
        !          1681:   }
        !          1682: }
        !          1683:
        !          1684: DP_pairs minp( DP_pairs d, DP_pairs *prest )
        !          1685: {
        !          1686:   register DP_pairs m, ml, p, l;
        !          1687:   register DL lcm;
        !          1688:   register int s, nv = CNVars;
        !          1689:   register int (*cmpfun)() = cmpdl;
        !          1690:
        !          1691:   if ( !(p = NEXT(m = d)) ) {
        !          1692:     *prest = p;
        !          1693:     NEXT(m) = 0;
        !          1694:     return m;
        !          1695:   }
        !          1696:   for ( lcm = m->lcm, s = m->sugar, ml = 0, l = m; p; p = NEXT(l = p) )
        !          1697:     if ( NoSugar ? (*cmpfun)( nv, lcm, p->lcm ) >= 0 :
        !          1698:          (s > p->sugar || s == p->sugar && (*cmpfun)( nv, lcm, p->lcm ) >= 0) )
        !          1699:       ml = l,  lcm = (m = p)->lcm,  s = p->sugar;
        !          1700:   if ( !ml ) *prest = NEXT(m);
        !          1701:   else {
        !          1702:     NEXT(ml) = NEXT(m);
        !          1703:     *prest = d;
        !          1704:   }
        !          1705:   NEXT(m) = 0;
        !          1706:   return m;
        !          1707: }
        !          1708:
        !          1709: void minsugar(DP_pairs d,DP_pairs *dm,DP_pairs *dr)
        !          1710: {
        !          1711:   int msugar;
        !          1712:   DP_pairs t,dm0,dr0,dmt,drt;
        !          1713:
        !          1714:   for ( msugar = d->sugar, t = NEXT(d); t; t = NEXT(t) )
        !          1715:     if ( t->sugar < msugar )
        !          1716:       msugar = t->sugar;
        !          1717:   dm0 = 0; dr0 = 0;
        !          1718:   for ( t = d; t; t = NEXT(t) ) {
        !          1719:     if ( t->sugar == msugar ) {
        !          1720:       NEXTDPP(dm0,dmt);
        !          1721:       dmt->dp1 = t->dp1; dmt->dp2 = t->dp2;
        !          1722:       dmt->lcm = t->lcm; dmt->sugar = t->sugar;
        !          1723:     } else {
        !          1724:       NEXTDPP(dr0,drt);
        !          1725:       drt->dp1 = t->dp1; drt->dp2 = t->dp2;
        !          1726:       drt->lcm = t->lcm; drt->sugar = t->sugar;
        !          1727:     }
        !          1728:   }
        !          1729:   if ( dm0 ) NEXT(dmt) = 0;
        !          1730:   if ( dr0 ) NEXT(drt) = 0;
        !          1731:   *dm = dm0; *dr = dr0;
        !          1732: }
        !          1733:
        !          1734: NODE gb(NODE f,int m,NODE subst)
        !          1735: {
        !          1736:   int i,nh,prev,mag,mag0,magt;
        !          1737:   NODE r,g,gall;
        !          1738:   DP_pairs d;
        !          1739:   DP_pairs l;
        !          1740:   DP h,nf,nfm,dp1,dp2;
        !          1741:   MP mp;
        !          1742:   struct oEGT tnf0,tnf1,tnfm0,tnfm1,tpz0,tpz1,tnp0,tnp1;
        !          1743:   int skip_nf_flag;
        !          1744:   double t_0;
        !          1745:   Z q;
        !          1746:   int new_sugar;
        !          1747:   static int prev_sugar = -1;
        !          1748:
        !          1749:   Max_mag = 0;
        !          1750:   Max_coef = 0;
        !          1751:   prev = 1;
        !          1752:   doing_f4 = 0;
        !          1753:   init_denomlist();
        !          1754:   if ( m ) {
        !          1755:     psm = (DP *)MALLOC(pslen*sizeof(DP));
        !          1756:     for ( i = 0; i < psn; i++ )
        !          1757:       if ( psh[i] && !validhc(psc[i],m,subst) )
        !          1758:         return 0;
        !          1759:       else
        !          1760:         _dp_mod(ps[i],m,subst,&psm[i]);
        !          1761:   }
        !          1762:   for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {
        !          1763:     i = (long)BDY(r);
        !          1764:     d = updpairs(d,g,i);
        !          1765:     g = updbase(g,i);
        !          1766:     gall = append_one(gall,i);
        !          1767:   }
        !          1768:   while ( d ) {
        !          1769:     l = minp(d,&d);
        !          1770:     if ( m ) {
        !          1771:       _dp_sp_mod_dup(psm[l->dp1],psm[l->dp2],m,&h);
        !          1772:       if ( h )
        !          1773:         new_sugar = h->sugar;
        !          1774:       get_eg(&tnfm0);
        !          1775:       _dp_nf_mod_destructive(gall,h,psm,m,0,&nfm);
        !          1776:       get_eg(&tnfm1); add_eg(&eg_nfm,&tnfm0,&tnfm1);
        !          1777:     } else
        !          1778:       nfm = (DP)1;
        !          1779:     if ( nfm ) {
        !          1780:       if ( Demand ) {
        !          1781:         if ( dp_load_t(psn,&nf) ) {
        !          1782:           skip_nf_flag = 1;
        !          1783:           goto skip_nf;
        !          1784:         } else {
        !          1785:           skip_nf_flag = 0;
        !          1786:           dp_load(l->dp1,&dp1); dp_load(l->dp2,&dp2);
        !          1787:           dp_sp(dp1,dp2,&h);
        !          1788:         }
        !          1789:       } else
        !          1790:         dp_sp(ps[l->dp1],ps[l->dp2],&h);
        !          1791:       if ( GenTrace ) {
        !          1792:         STOQ(l->dp1,q); ARG1(BDY((LIST)BDY(NEXT(TraceList)))) = q;
        !          1793:         STOQ(l->dp2,q); ARG1(BDY((LIST)BDY(TraceList))) = q;
        !          1794:       }
        !          1795:       if ( h )
        !          1796:         new_sugar = h->sugar;
        !          1797:       get_eg(&tnf0);
        !          1798:       t_0 = get_rtime();
        !          1799:       if ( PCoeffs || dp_fcoeffs )
        !          1800:         _dp_nf(gall,h,ps,!Top,&nf);
        !          1801:       else
        !          1802:         _dp_nf_z(gall,h,ps,!Top,DP_Multiple,&nf);
        !          1803:       if ( DP_Print && nf )
        !          1804:         fprintf(asir_out,"(%.3g)",get_rtime()-t_0);
        !          1805:       get_eg(&tnf1); add_eg(&eg_nf,&tnf0,&tnf1);
        !          1806:     } else
        !          1807:       nf = 0;
        !          1808: skip_nf:
        !          1809:     if ( nf ) {
        !          1810:       NZR++;
        !          1811:       get_eg(&tpz0);
        !          1812:       prim_part(nf,0,&h);
        !          1813:       get_eg(&tpz1); add_eg(&eg_pz,&tpz0,&tpz1);
        !          1814:       add_denomlist((P)BDY(h)->c);
        !          1815:       get_eg(&tnp0);
        !          1816:       if ( Demand && skip_nf_flag )
        !          1817:         nh = newps_nosave(h,m,subst);
        !          1818:       else
        !          1819:         nh = newps(h,m,subst);
        !          1820:       get_eg(&tnp1); add_eg(&eg_np,&tnp0,&tnp1);
        !          1821:       if ( nh < 0 )
        !          1822:         return 0;
        !          1823:       d = updpairs(d,g,nh);
        !          1824:       g = updbase(g,nh);
        !          1825:       gall = append_one(gall,nh);
        !          1826:       if ( !dp_fcoeffs && ShowMag ) {
        !          1827:         for ( mag = 0, mag0 = 0, mp = BDY(h); mp; mp = NEXT(mp) ) {
        !          1828:           magt = p_mag((P)mp->c);
        !          1829:           mag0 = MAX(mag0,magt);
        !          1830:           mag += magt;
        !          1831:         }
        !          1832:         Max_coef = MAX(Max_coef,mag0);
        !          1833:         Max_mag = MAX(Max_mag,mag);
        !          1834:       }
        !          1835:       if ( DP_Print ) {
        !          1836:         if ( !prev )
        !          1837:           fprintf(asir_out,"\n");
        !          1838:         print_split_e(&tnf0,&tnf1); print_split_e(&tpz0,&tpz1);
        !          1839:         printdl(psh[nh]);
        !          1840:         fprintf(asir_out,"(%d,%d),nb=%d,nab=%d,rp=%d,sugar=%d",
        !          1841:           l->dp1,l->dp2,length(g),length(gall),DPPlength(d),
        !          1842:           pss[nh]);
        !          1843:         if ( ShowMag )
        !          1844:           fprintf(asir_out,",mag=(%d,%d)",mag,mag0);
        !          1845:         fprintf(asir_out,"\n"); fflush(asir_out);
        !          1846:       } else if ( DP_PrintShort ) {
        !          1847:         fprintf(asir_out,"+"); fflush(asir_out);
        !          1848:       }
        !          1849:       prev = 1;
        !          1850:     } else {
        !          1851:       if ( m )
        !          1852:         add_eg(&eg_znfm,&tnfm0,&tnfm1);
        !          1853:       ZR++;
        !          1854:       if ( DP_Print || DP_PrintShort ) {
        !          1855:         if ( new_sugar != prev_sugar ) {
        !          1856:           fprintf(asir_out,"[%d]",new_sugar);
        !          1857:           prev_sugar = new_sugar;
        !          1858:         }
        !          1859:         fprintf(asir_out,"."); fflush(asir_out); prev = 0;
        !          1860:       }
        !          1861:     }
        !          1862:   }
        !          1863:   if ( DP_Print || DP_PrintShort )
        !          1864:     fprintf(asir_out,"gb done\n");
        !          1865:   return g;
        !          1866: }
        !          1867:
        !          1868: NODE gb_mod(NODE f,int m)
        !          1869: {
        !          1870:   int i,nh,prev;
        !          1871:   NODE r,g,gall;
        !          1872:   DP_pairs d;
        !          1873:   DP_pairs l;
        !          1874:   DP h,nf;
        !          1875:   struct oEGT tnfm0,tnfm1,tpz0,tpz1;
        !          1876:
        !          1877:   prev = 1;
        !          1878:   for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {
        !          1879:     i = (long)BDY(r);
        !          1880:     d = updpairs(d,g,i);
        !          1881:     g = updbase(g,i);
        !          1882:     gall = append_one(gall,i);
        !          1883:   }
        !          1884:   while ( d ) {
        !          1885:     l = minp(d,&d);
        !          1886:     if ( PCoeffs ) {
        !          1887:       dp_sp_mod(ps[l->dp1],ps[l->dp2],m,&h);
        !          1888:       get_eg(&tnfm0);
        !          1889:       dp_nf_mod(gall,h,ps,m,!Top,&nf);
        !          1890:     } else {
        !          1891:       _dp_sp_mod_dup(ps[l->dp1],ps[l->dp2],m,&h);
        !          1892:       get_eg(&tnfm0);
        !          1893:       _dp_nf_mod_destructive(gall,h,ps,m,!Top,&nf);
        !          1894:     }
        !          1895:     get_eg(&tnfm1); add_eg(&eg_nfm,&tnfm0,&tnfm1);
        !          1896:     if ( nf ) {
        !          1897:       NZR++;
        !          1898:       get_eg(&tpz0);
        !          1899:       prim_part(nf,m,&h);
        !          1900:       get_eg(&tpz1); add_eg(&eg_pz,&tpz0,&tpz1);
        !          1901:       nh = newps_mod(h,m);
        !          1902:       if ( nh < 0 )
        !          1903:         return 0;
        !          1904:       d = updpairs(d,g,nh);
        !          1905:       g = updbase(g,nh);
        !          1906:       gall = append_one(gall,nh);
        !          1907:       if ( DP_Print ) {
        !          1908:         if ( !prev )
        !          1909:           fprintf(asir_out,"\n");
        !          1910:         print_split_eg(&tnfm0,&tnfm1); fflush(asir_out);
        !          1911:         fprintf(asir_out,"(%d,%d),nb=%d,nab=%d,rp=%d,sugar=%d",l->dp1,l->dp2,length(g),length(gall),DPPlength(d),pss[nh]);
        !          1912:         printdl(psh[nh]); fprintf(asir_out,"\n"); fflush(asir_out);
        !          1913:       } else if ( DP_PrintShort ) {
        !          1914:         fprintf(asir_out,"+"); fflush(asir_out);
        !          1915:       }
        !          1916:       prev = 1;
        !          1917:     } else {
        !          1918:       add_eg(&eg_znfm,&tnfm0,&tnfm1);
        !          1919:       ZR++;
        !          1920:       if ( DP_Print || DP_PrintShort ) {
        !          1921:         fprintf(asir_out,"."); fflush(asir_out); prev = 0;
        !          1922:       }
        !          1923:     }
        !          1924:   }
        !          1925:   if ( DP_Print || DP_PrintShort )
        !          1926:     fprintf(asir_out,"gb_mod done\n");
        !          1927:   return g;
        !          1928: }
        !          1929:
        !          1930: DP_pairs updpairs( DP_pairs d, NODE /* of index */ g, int t)
        !          1931: {
        !          1932:   register DP_pairs d1, dd, nd;
        !          1933:   int dl,dl1;
        !          1934:
        !          1935:   if ( !g ) return d;
        !          1936:   if ( !NoCriB && d ) {
        !          1937:     dl = DPPlength(d);
        !          1938:     d = criterion_B( d, t );
        !          1939:     dl -= DPPlength(d); N_BP += dl;
        !          1940:   }
        !          1941:   d1 = newpairs( g, t );
        !          1942:   if ( NEXT(d1) ) {
        !          1943:     dl = DPPlength(d1); TP += dl;
        !          1944:     d1 = criterion_M( d1 );
        !          1945:     dl1 = DPPlength(d1); NMP += (dl-dl1); dl = dl1;
        !          1946:     d1 = criterion_F( d1 );
        !          1947:     dl1 = DPPlength(d1); NFP += (dl-dl1); dl = dl1;
        !          1948:   } else
        !          1949:     dl = 1;
        !          1950:   if ( !do_weyl )
        !          1951:     for ( dd = 0; d1; d1 = nd ) {
        !          1952:       nd = NEXT(d1);
        !          1953:       if ( !criterion_2( d1->dp1, d1->dp2 ) ) {
        !          1954:         NEXT(d1) = dd;
        !          1955:         dd = d1;
        !          1956:       }
        !          1957:     }
        !          1958:   else
        !          1959:     dd = d1;
        !          1960:   dl1 = DPPlength(dd); NDP += (dl-dl1);
        !          1961:   if ( !(nd = d) ) return dd;
        !          1962:   while ( nd = NEXT(d1 = nd) ) ;
        !          1963:   NEXT(d1) = dd;
        !          1964:   return d;
        !          1965: }
        !          1966:
        !          1967: DP_pairs newpairs( NODE /* of index */ g, int t )
        !          1968: {
        !          1969:   register NODE r;
        !          1970:   register DL tdl = psh[t];
        !          1971:   register int ts;
        !          1972:   register DP_pairs p, last;
        !          1973:   int dp;
        !          1974:   register DL dl;
        !          1975:   register int s;
        !          1976:
        !          1977:   ts = pss[t] - tdl->td;
        !          1978:   for ( last = 0, r = g; r; r = NEXT(r) ) {
        !          1979:     NEXT(p = NEWDP_pairs) = last;
        !          1980:     last = p;
        !          1981:     dp = p->dp1 = (long)BDY(r);  p->dp2 = t;
        !          1982:     p->lcm = lcm_of_DL(CNVars, dl = psh[dp], tdl, (DL)0 );
        !          1983: #if 0
        !          1984:     if ( do_weyl )
        !          1985:       p->sugar = dl_weyl_weight(p->lcm);
        !          1986:     else
        !          1987: #endif
        !          1988:       p->sugar = (ts > (s = pss[dp] - dl->td) ? ts : s) + p->lcm->td;
        !          1989:   }
        !          1990:   return last;
        !          1991: }
        !          1992:
        !          1993: DP_pairs criterion_B( DP_pairs d, int s )
        !          1994: {
        !          1995:   register DP_pairs dd, p;
        !          1996:   register DL tij, t = psh[s], dltmp;
        !          1997:
        !          1998:   if ( !d ) return 0;
        !          1999:   NEWDL( dltmp, CNVars );
        !          2000:   for ( dd = 0; d; d = p ) {
        !          2001:     p = NEXT(d),
        !          2002:     tij = d->lcm;
        !          2003:     if ( tij->td != lcm_of_DL(CNVars, tij, t, dltmp )->td
        !          2004:       || !dl_equal(CNVars, tij, dltmp )
        !          2005:       || (tij->td == lcm_of_DL(CNVars, psh[d->dp1], t, dltmp )->td
        !          2006:           && dl_equal(CNVars, dltmp, tij ))
        !          2007:       || (tij->td == lcm_of_DL(CNVars, psh[d->dp2], t, dltmp )->td
        !          2008:           && dl_equal(CNVars, dltmp, tij )) ) {
        !          2009:       NEXT(d) = dd;
        !          2010:       dd = d;
        !          2011:     }
        !          2012:   }
        !          2013:   return dd;
        !          2014: }
        !          2015:
        !          2016: DP_pairs criterion_M( DP_pairs d1 )
        !          2017: {
        !          2018:   register DP_pairs dd, e, d3, d2, p;
        !          2019:   register DL itdl, jtdl;
        !          2020:   register int itdltd, jtdltd;
        !          2021:
        !          2022:   for ( dd = 0, e = d1; e; e = d3 ) {
        !          2023:     if ( !(d2 = NEXT(e)) ) {
        !          2024:       NEXT(e) = dd;
        !          2025:       return e;
        !          2026:     }
        !          2027:     itdltd = (itdl = e->lcm)->td;
        !          2028:     for ( d3 = 0; d2; d2 = p ) {
        !          2029:       p = NEXT(d2),
        !          2030:       jtdltd = (jtdl = d2->lcm)->td;
        !          2031:       if ( jtdltd == itdltd  )
        !          2032:         if ( dl_equal(CNVars, itdl, jtdl ) ) ;
        !          2033:         else if ( dl_redble( jtdl, itdl ) ) continue;
        !          2034:         else if ( dl_redble( itdl, jtdl ) ) goto delit;
        !          2035:         else ;
        !          2036:       else if ( jtdltd > itdltd )
        !          2037:         if ( dl_redble( jtdl, itdl ) ) continue;
        !          2038:         else ;
        !          2039:       else if ( dl_redble( itdl, jtdl ) ) goto delit;
        !          2040:       NEXT(d2) = d3;
        !          2041:       d3 = d2;
        !          2042:     }
        !          2043:     NEXT(e) = dd;
        !          2044:     dd = e;
        !          2045:     continue;
        !          2046:     /**/
        !          2047:   delit:  NEXT(d2) = d3;
        !          2048:     d3 = d2;
        !          2049:     for ( ; p; p = d2 ) {
        !          2050:       d2 = NEXT(p);
        !          2051:       NEXT(p) = d3;
        !          2052:       d3 = p;
        !          2053:     }
        !          2054:   }
        !          2055:   return dd;
        !          2056: }
        !          2057:
        !          2058: static DP_pairs collect_pairs_of_hdlcm( DP_pairs d1, DP_pairs *prest )
        !          2059: {
        !          2060:   register DP_pairs w, p, r, s;
        !          2061:   register DL ti;
        !          2062:   register int td;
        !          2063:
        !          2064:   td = (ti = (w = d1)->lcm)->td;
        !          2065:   s = NEXT(w);
        !          2066:   NEXT(w) = 0;
        !          2067:   for ( r = 0; s; s = p ) {
        !          2068:     p = NEXT(s);
        !          2069:     if ( td == s->lcm->td && dl_equal(CNVars, ti, s->lcm ) )
        !          2070:     {
        !          2071:       NEXT(s) = w;
        !          2072:       w = s;
        !          2073:     } else {
        !          2074:       NEXT(s) = r;
        !          2075:       r = s;
        !          2076:     }
        !          2077:   }
        !          2078:   *prest = r;
        !          2079:   return w;
        !          2080: }
        !          2081:
        !          2082: int criterion_2( int dp1, int dp2 )
        !          2083: {
        !          2084:   register int i, *d1, *d2;
        !          2085:
        !          2086:   d1 = psh[dp1]->d,  d2 = psh[dp2]->d;
        !          2087:   for ( i = CNVars; --i >= 0; d1++, d2++ )
        !          2088:     if ( (*d1 <= *d2 ? *d1 : *d2) > 0  ) return 0;
        !          2089:   return 1;
        !          2090: }
        !          2091:
        !          2092: DP_pairs criterion_F( DP_pairs d1 )
        !          2093: {
        !          2094:   DP_pairs rest, head;
        !          2095:   register DP_pairs last, p, r, w;
        !          2096:   register int s;
        !          2097:
        !          2098:   for ( head = last = 0, p = d1; NEXT(p); ) {
        !          2099:     s = (r = w = collect_pairs_of_hdlcm( p, &rest ))->sugar;
        !          2100:     while ( w = NEXT(w) )
        !          2101:       if ( !do_weyl && criterion_2( w->dp1, w->dp2 ) ) {
        !          2102:         r = w;
        !          2103:         break;
        !          2104:       } else if ( w->sugar < s ) s = (r = w)->sugar;
        !          2105:     if ( last ) NEXT(last) = r;
        !          2106:     else head = r;
        !          2107:     NEXT(last = r) = 0;
        !          2108:     if ( !(p = rest) ) return head;
        !          2109:   }
        !          2110:   if ( !last ) return p;
        !          2111:   NEXT(last) = p;
        !          2112:   return head;
        !          2113: }
        !          2114:
        !          2115: NODE updbase(NODE g,int t)
        !          2116: {
        !          2117:   g = remove_reducibles(g,t);
        !          2118:   g = append_one(g,t);
        !          2119:   return g;
        !          2120: }
        !          2121:
        !          2122: NODE /* of index */ remove_reducibles(NODE /* of index */ nd, int newdp )
        !          2123: {
        !          2124:   register DL dl, dln;
        !          2125:   register NODE last, p, head;
        !          2126:   register int td;
        !          2127:
        !          2128:   dl = psh[newdp];
        !          2129:   td = dl->td;
        !          2130:   for ( head = last = 0, p = nd; p; ) {
        !          2131:     dln = psh[(long)BDY(p)];
        !          2132:     if ( dln->td >= td && dl_redble( dln, dl ) ) {
        !          2133:       p = NEXT(p);
        !          2134:       if ( last ) NEXT(last) = p;
        !          2135:     } else {
        !          2136:       if ( !last ) head = p;
        !          2137:       p = NEXT(last = p);
        !          2138:     }
        !          2139:   }
        !          2140:   return head;
        !          2141: }
        !          2142:
        !          2143: int dl_redble(DL dl1,DL dl2)
        !          2144: {
        !          2145:   register int n, *d1, *d2;
        !          2146:
        !          2147:   for ( d1 = dl1->d, d2 = dl2->d, n = CNVars; --n >= 0; d1++, d2++ )
        !          2148:     if ( *d1 < *d2 ) return 0;
        !          2149:   return 1;
        !          2150: }
        !          2151:
        !          2152: #if 0
        !          2153: int dl_weyl_weight(DL dl)
        !          2154: {
        !          2155:   int n,w,i;
        !          2156:
        !          2157:   n = CNVars/2;
        !          2158:   for ( i = 0, w = 0; i < n; i++ )
        !          2159:     w += (-dl->d[i]+dl->d[n+i]);
        !          2160:   return w;
        !          2161: }
        !          2162: #endif
        !          2163:
        !          2164: int gbcheck(NODE f)
        !          2165: {
        !          2166:   int i;
        !          2167:   NODE r,g,gall;
        !          2168:   DP_pairs d,l;
        !          2169:   DP h,nf,dp1,dp2;
        !          2170:   struct oEGT tmp0,tmp1;
        !          2171:
        !          2172:   if ( NoGC )
        !          2173:     return 1;
        !          2174:   for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {
        !          2175:     i = (long)BDY(r);
        !          2176:     d = updpairs(d,g,i);
        !          2177:     g = updbase(g,i);
        !          2178:     gall = append_one(gall,i);
        !          2179:   }
        !          2180:   if ( DP_Print || DP_PrintShort ) {
        !          2181:     fprintf(asir_out,"gbcheck total %d pairs\n",DPPlength(d)); fflush(asir_out);
        !          2182:   }
        !          2183:   while ( d ) {
        !          2184:     l = d; d = NEXT(d);
        !          2185:     get_eg(&tmp0);
        !          2186:     dp_load(l->dp1,&dp1); dp_load(l->dp2,&dp2);
        !          2187:     dp_sp(dp1,dp2,&h);
        !          2188: /* fprintf(stderr,"{%d,%d}",l->dp1,l->dp2); */
        !          2189:     _dp_nf(gall,h,ps,1,&nf);
        !          2190:     get_eg(&tmp1); add_eg(&eg_gc,&tmp0,&tmp1);
        !          2191:     if ( DP_Print || DP_PrintShort ) {
        !          2192:       fprintf(asir_out,"."); fflush(asir_out);
        !          2193:     }
        !          2194:     if ( nf )
        !          2195:       return 0;
        !          2196:   }
        !          2197:   if ( DP_Print || DP_PrintShort )
        !          2198:     fprintf(asir_out,"\n");
        !          2199:   return 1;
        !          2200: }
        !          2201:
        !          2202: void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp)
        !          2203: {
        !          2204:   int i;
        !          2205:   NODE r,g,gall,u,u0,t;
        !          2206:   VECT vect;
        !          2207:   LIST pair;
        !          2208:   DP_pairs d,l;
        !          2209:   Z q1,q2;
        !          2210:
        !          2211:   /* we need the following settings */
        !          2212:   NVars = CNVars = n;
        !          2213:   setup_arrays(f,0,&r);
        !          2214:   for ( gall = g = 0, d = 0; r; r = NEXT(r) ) {
        !          2215:     i = (long)BDY(r);
        !          2216:     d = updpairs(d,g,i);
        !          2217:     g = updbase(g,i);
        !          2218:     gall = append_one(gall,i);
        !          2219:   }
        !          2220:   NEWVECT(vect); vect->len = psn; vect->body = (pointer)ps;
        !          2221:   *gp = vect;
        !          2222:
        !          2223:   for ( u0 = 0, l = d; l; l = NEXT(l) ) {
        !          2224:     NEXTNODE(u0,u);
        !          2225:     STOQ(l->dp1,q1);
        !          2226:     STOQ(l->dp2,q2);
        !          2227:     t = mknode(2,q1,q2);
        !          2228:     MKLIST(pair,t);
        !          2229:     BDY(u) = (pointer)pair;
        !          2230:   }
        !          2231:   if ( u0 )
        !          2232:     NEXT(u) = 0;
        !          2233:   MKLIST(*pp,u0);
        !          2234: }
        !          2235:
        !          2236: int membercheck(NODE f,NODE x)
        !          2237: {
        !          2238:   DP g;
        !          2239:   struct oEGT tmp0,tmp1;
        !          2240:
        !          2241:   if ( NoMC )
        !          2242:     return 1;
        !          2243:   if ( DP_Print || DP_PrintShort ) {
        !          2244:     fprintf(asir_out,"membercheck\n"); fflush(asir_out);
        !          2245:   }
        !          2246:   for ( ; f; f = NEXT(f) ) {
        !          2247:     get_eg(&tmp0);
        !          2248:     _dp_nf(x,(DP)BDY(f),ps,1,&g);
        !          2249:     get_eg(&tmp1); add_eg(&eg_mc,&tmp0,&tmp1);
        !          2250:     if ( DP_Print ) {
        !          2251:       print_split_eg(&tmp0,&tmp1); fflush(asir_out);
        !          2252:     } else if ( DP_PrintShort ) {
        !          2253:       fprintf(asir_out,"."); fflush(asir_out);
        !          2254:     }
        !          2255:     if ( g )
        !          2256:       return 0;
        !          2257:   }
        !          2258:   if ( DP_Print || DP_PrintShort )
        !          2259:     fprintf(asir_out,"\n");
        !          2260:   return 1;
        !          2261: }
        !          2262:
        !          2263: void dp_set_flag(Obj name,Obj value)
        !          2264: {
        !          2265:   char *n;
        !          2266:   int v;
        !          2267:   Q ratio;
        !          2268:   Z t;
        !          2269:
        !          2270:   if ( OID(name) != O_STR )
        !          2271:     return;
        !          2272:   n = BDY((STRING)name);
        !          2273:   if ( !strcmp(n,"Demand") ) {
        !          2274:     Demand = value ? BDY((STRING)value) : 0; return;
        !          2275:   }
        !          2276:   if ( !strcmp(n,"Dist") ) {
        !          2277:     Dist = (LIST)value; return;
        !          2278:   }
        !          2279:   if ( !strcmp(n,"Content") ) {
        !          2280:     ratio = (Q)value;
        !          2281:     if ( ratio ) {
        !          2282:       nmq(ratio,&t);
        !          2283:       DP_Multiple = QTOS(t);
        !          2284:       dnq(ratio,&t);
        !          2285:       Denominator = QTOS(t);
        !          2286:     } else {
        !          2287:       DP_Multiple = 0;
        !          2288:       Denominator = 1;
        !          2289:     }
        !          2290:   }
        !          2291:   if ( value && OID(value) != O_N )
        !          2292:     return;
        !          2293:   v = QTOS((Q)value);
        !          2294:   if ( !strcmp(n,"NoSugar") )
        !          2295:     NoSugar = v;
        !          2296:   else if ( !strcmp(n,"NoCriB") )
        !          2297:     NoCriB = v;
        !          2298:   else if ( !strcmp(n,"NoGC") )
        !          2299:     NoGC = v;
        !          2300:   else if ( !strcmp(n,"NoMC") )
        !          2301:     NoMC = v;
        !          2302:   else if ( !strcmp(n,"NoRA") )
        !          2303:     NoRA = v;
        !          2304:   else if ( !strcmp(n,"NoGCD") )
        !          2305:     NoGCD = v;
        !          2306:   else if ( !strcmp(n,"Top") )
        !          2307:     Top = v;
        !          2308:   else if ( !strcmp(n,"ShowMag") )
        !          2309:     ShowMag = v;
        !          2310:   else if ( !strcmp(n,"PrintShort") )
        !          2311:     DP_PrintShort = v;
        !          2312:   else if ( !strcmp(n,"Print") )
        !          2313:     DP_Print = v;
        !          2314:   else if ( !strcmp(n,"NFStat") )
        !          2315:     DP_NFStat = v;
        !          2316:   else if ( !strcmp(n,"Stat") )
        !          2317:     Stat = v;
        !          2318:   else if ( !strcmp(n,"Reverse") )
        !          2319:     Reverse = v;
        !          2320:   else if ( !strcmp(n,"Multiple") )
        !          2321:     DP_Multiple = v;
        !          2322:   else if ( !strcmp(n,"Denominator") )
        !          2323:     Denominator = v;
        !          2324:   else if ( !strcmp(n,"PtozpRA") )
        !          2325:     PtozpRA = v;
        !          2326:   else if ( !strcmp(n,"GenTrace") )
        !          2327:     GenTrace = v;
        !          2328:   else if ( !strcmp(n,"OXCheck") )
        !          2329:     OXCheck = v;
        !          2330:   else if ( !strcmp(n,"GenSyz") )
        !          2331:     GenSyz = v;
        !          2332:   else if ( !strcmp(n,"OneZeroHomo") )
        !          2333:     OneZeroHomo = v;
        !          2334:   else if ( !strcmp(n,"MaxDeg") )
        !          2335:     MaxDeg = v;
        !          2336: }
        !          2337:
        !          2338: void dp_make_flaglist(LIST *list)
        !          2339: {
        !          2340:   Z v,nm,dn;
        !          2341:   Q r;
        !          2342:   STRING name,path;
        !          2343:   NODE n,n1;
        !          2344:
        !          2345: #if 0
        !          2346:   STOQ(DP_Multiple,v); MKNODE(n,v,0); MKSTR(name,"DP_Multiple"); MKNODE(n1,name,n); n = n1;
        !          2347:   STOQ(Denominator,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Denominator"); MKNODE(n1,name,n); n = n1;
        !          2348: #else
        !          2349:   if ( DP_Multiple ) {
        !          2350:     STOQ(DP_Multiple,nm); STOQ(Denominator,dn); divq((Q)nm,(Q)dn,&r);
        !          2351:   } else
        !          2352:     v = 0;
        !          2353:   MKNODE(n,v,0); MKSTR(name,"Content"); MKNODE(n1,name,n); n = n1;
        !          2354: #endif
        !          2355:   MKNODE(n1,Dist,n); n = n1; MKSTR(name,"Dist"); MKNODE(n1,name,n); n = n1;
        !          2356:   STOQ(Reverse,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Reverse"); MKNODE(n1,name,n); n = n1;
        !          2357:   STOQ(Stat,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Stat"); MKNODE(n1,name,n); n = n1;
        !          2358:   STOQ(DP_Print,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Print"); MKNODE(n1,name,n); n = n1;
        !          2359:   STOQ(DP_PrintShort,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"PrintShort"); MKNODE(n1,name,n); n = n1;
        !          2360:   STOQ(DP_NFStat,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NFStat"); MKNODE(n1,name,n); n = n1;
        !          2361:   STOQ(OXCheck,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"OXCheck"); MKNODE(n1,name,n); n = n1;
        !          2362:   STOQ(GenTrace,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"GenTrace"); MKNODE(n1,name,n); n = n1;
        !          2363:   STOQ(GenSyz,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"GenSyz"); MKNODE(n1,name,n); n = n1;
        !          2364:   STOQ(MaxDeg,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"MaxDeg"); MKNODE(n1,name,n); n = n1;
        !          2365:   STOQ(OneZeroHomo,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"OneZeroHomo"); MKNODE(n1,name,n); n = n1;
        !          2366:   STOQ(PtozpRA,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"PtozpRA"); MKNODE(n1,name,n); n = n1;
        !          2367:   STOQ(ShowMag,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"ShowMag"); MKNODE(n1,name,n); n = n1;
        !          2368:   STOQ(Top,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Top"); MKNODE(n1,name,n); n = n1;
        !          2369:   STOQ(NoGCD,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NoGCD"); MKNODE(n1,name,n); n = n1;
        !          2370:   STOQ(NoRA,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NoRA"); MKNODE(n1,name,n); n = n1;
        !          2371:   STOQ(NoMC,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NoMC"); MKNODE(n1,name,n); n = n1;
        !          2372:   STOQ(NoGC,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NoGC"); MKNODE(n1,name,n); n = n1;
        !          2373:   STOQ(NoCriB,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NoCriB"); MKNODE(n1,name,n); n = n1;
        !          2374:   STOQ(NoSugar,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NoSugar"); MKNODE(n1,name,n); n = n1;
        !          2375:   if ( Demand )
        !          2376:     MKSTR(path,Demand);
        !          2377:   else
        !          2378:     path = 0;
        !          2379:   MKNODE(n1,path,n); n = n1; MKSTR(name,"Demand"); MKNODE(n1,name,n); n = n1;
        !          2380:   MKLIST(*list,n);
        !          2381: }
        !          2382:
        !          2383: #define DELIM '/'
        !          2384:
        !          2385: void dp_save(int index,Obj p,char *prefix)
        !          2386: {
        !          2387:   FILE *fp;
        !          2388:   char path[BUFSIZ];
        !          2389:
        !          2390:   if ( prefix )
        !          2391:     sprintf(path,"%s%c%s%d",Demand,DELIM,prefix,index);
        !          2392:   else
        !          2393:     sprintf(path,"%s%c%d",Demand,DELIM,index);
        !          2394:   if ( !(fp = fopen(path,"wb") ) )
        !          2395:     error("dp_save : cannot open a file");
        !          2396:   savevl(fp,VC); saveobj(fp,p); fclose(fp);
        !          2397: }
        !          2398:
        !          2399: void dp_load(int index,DP *p)
        !          2400: {
        !          2401:   FILE *fp;
        !          2402:   char path[BUFSIZ];
        !          2403:
        !          2404:   if ( !Demand || ps[index] )
        !          2405:     *p = ps[index];
        !          2406:   else {
        !          2407:     sprintf(path,"%s%c%d",Demand,DELIM,index);
        !          2408:     if ( !(fp = fopen(path,"rb") ) )
        !          2409:       error("dp_load : cannot open a file");
        !          2410:     if ( PCoeffs )
        !          2411:       loadvl(fp);
        !          2412:     else
        !          2413:       skipvl(fp);
        !          2414:     loadobj(fp,(Obj *)p); fclose(fp);
        !          2415:   }
        !          2416: }
        !          2417:
        !          2418: int dp_load_t(int index,DP *p)
        !          2419: {
        !          2420:   FILE *fp;
        !          2421:   char path[BUFSIZ];
        !          2422:
        !          2423:   sprintf(path,"%s%c%d",Demand,DELIM,index);
        !          2424:   if ( !(fp = fopen(path,"rb") ) )
        !          2425:     return 0;
        !          2426:   else {
        !          2427:     if ( PCoeffs )
        !          2428:       loadvl(fp);
        !          2429:     else
        !          2430:       skipvl(fp);
        !          2431:     loadobj(fp,(Obj *)p); fclose(fp); return 1;
        !          2432:   }
        !          2433: }
        !          2434:
        !          2435: void init_stat() {
        !          2436:   init_eg(&eg_nf); init_eg(&eg_nfm); init_eg(&eg_znfm);
        !          2437:   init_eg(&eg_pz); init_eg(&eg_np);
        !          2438:   init_eg(&eg_ra); init_eg(&eg_mc); init_eg(&eg_gc);
        !          2439:   ZR = NZR = TP = NMP = N_BP = NFP = NDP = 0;
        !          2440: }
        !          2441:
        !          2442: void print_stat() {
        !          2443:   if ( !DP_Print && !Stat )
        !          2444:     return;
        !          2445:   print_eg("NF",&eg_nf); print_eg("NFM",&eg_nfm); print_eg("ZNFM",&eg_znfm);
        !          2446:   print_eg("PZ",&eg_pz); print_eg("NP",&eg_np);
        !          2447:   print_eg("RA",&eg_ra); print_eg("MC",&eg_mc); print_eg("GC",&eg_gc);
        !          2448:   fprintf(asir_out,"T=%d,B=%d M=%d F=%d D=%d ZR=%d NZR=%d\n",TP,N_BP,NMP,NFP,NDP,ZR,NZR);
        !          2449: }
        !          2450:
        !          2451: /*
        !          2452:  * dp_nf used in gb()
        !          2453:  *
        !          2454:  */
        !          2455:
        !          2456: double pz_t_e, pz_t_d, pz_t_d1, pz_t_c, im_t_s, im_t_r;
        !          2457:
        !          2458: extern int GenTrace;
        !          2459: extern NODE TraceList;
        !          2460: extern int mpi_mag;
        !          2461:
        !          2462: void dp_mulc_d(DP p,P c,DP *r)
        !          2463: {
        !          2464:   if ( Dist && BDY(Dist)
        !          2465:     && HMAG(p) > mpi_mag
        !          2466:     && p_mag((P)c) > mpi_mag ) {
        !          2467:     if ( DP_NFStat ) fprintf(asir_out,"~");
        !          2468:     dp_imul_d(p,(Q)c,r);
        !          2469:   } else {
        !          2470:     if ( DP_NFStat ) fprintf(asir_out,"_");
        !          2471:     muldc(CO,p,(Obj)c,r);
        !          2472:   }
        !          2473: }
        !          2474:
        !          2475: void _dp_nf(NODE b,DP g,DP *ps,int full,DP *rp)
        !          2476: {
        !          2477:   DP u,p,d,s,t,mult;
        !          2478:   P coef;
        !          2479:   NODE l;
        !          2480:   MP m,mr;
        !          2481:   int sugar,psugar;
        !          2482:
        !          2483:   if ( !g ) {
        !          2484:     *rp = 0; return;
        !          2485:   }
        !          2486:   sugar = g->sugar;
        !          2487:   for ( d = 0; g; ) {
        !          2488:     for ( u = 0, l = b; l; l = NEXT(l) ) {
        !          2489:       if ( dl_redble(BDY(g)->dl,psh[(long)BDY(l)]) ) {
        !          2490:         dp_load((long)BDY(l),&p);
        !          2491:         /* t+u = coef*(d+g) - mult*p (t = coef*d) */
        !          2492:         dp_red(d,g,p,&t,&u,&coef,&mult);
        !          2493:         psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar;
        !          2494:         sugar = MAX(sugar,psugar);
        !          2495:         if ( GenTrace ) {
        !          2496:           LIST hist;
        !          2497:           Z cq;
        !          2498:           NODE node,node0;
        !          2499:
        !          2500:           STOQ((long)BDY(l),cq);
        !          2501:           node0 = mknode(4,coef,cq,mult,ONE);
        !          2502:           MKLIST(hist,node0);
        !          2503:           MKNODE(node,hist,TraceList); TraceList = node;
        !          2504:         }
        !          2505:         if ( !u ) {
        !          2506:           if ( d )
        !          2507:             d->sugar = sugar;
        !          2508:           *rp = d; return;
        !          2509:         }
        !          2510:         d = t;
        !          2511:         break;
        !          2512:       }
        !          2513:     }
        !          2514:     if ( u )
        !          2515:       g = u;
        !          2516:     else if ( !full ) {
        !          2517:       if ( g ) {
        !          2518:         MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t;
        !          2519:       }
        !          2520:       *rp = g; return;
        !          2521:     } else {
        !          2522:       m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c;
        !          2523:       NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td;
        !          2524:       addd(CO,d,t,&s); d = s;
        !          2525:       dp_rest(g,&t); g = t;
        !          2526:     }
        !          2527:   }
        !          2528:   if ( d )
        !          2529:     d->sugar = sugar;
        !          2530:   *rp = d;
        !          2531: }
        !          2532:
        !          2533: void _dp_nf_z(NODE b,DP g,DP *ps,int full,int multiple,DP *r)
        !          2534: {
        !          2535:   DP u,dp,rp,t,t1,red,shift;
        !          2536:   Z hr,hred,cont,dc,c,dcq,cq,cr,rcq,gcd,rc,cred,mcred;
        !          2537:   Z rcred,mrcred;
        !          2538:   NODE l;
        !          2539:   int hmag,denom;
        !          2540:   int sugar,psugar;
        !          2541:   STRING imul;
        !          2542:   double t_0,tt,t_p,t_m,t_g,t_a;
        !          2543:   LIST hist;
        !          2544:   NODE node;
        !          2545:
        !          2546:   if ( !g ) {
        !          2547:     *r = 0; return;
        !          2548:   }
        !          2549:   pz_t_e = pz_t_d = pz_t_d1 = pz_t_c = 0;
        !          2550:   t_p = t_m = t_g = t_a = 0;
        !          2551:
        !          2552:   denom = Denominator?Denominator:1;
        !          2553:   hmag = multiple*HMAG(g)/denom;
        !          2554:   sugar = g->sugar;
        !          2555:
        !          2556:   dc = 0; dp = 0; rc = ONE; rp = g;
        !          2557:   MKSTR(imul,"dp_imul_index");
        !          2558:
        !          2559:   /* g = dc*dp+rc*rp */
        !          2560:   for ( ; rp; ) {
        !          2561:     for ( u = 0, l = b; l; l = NEXT(l) ) {
        !          2562:       if ( dl_redble(BDY(rp)->dl,psh[(long)BDY(l)]) ) {
        !          2563:         t_0 = get_rtime();
        !          2564:         dp_load((long)BDY(l),&red);
        !          2565:         hr = (Z)BDY(rp)->c; hred = (Z)BDY(red)->c;
        !          2566:         igcd_cofactor(hr,hred,&gcd,&cred,&cr);
        !          2567:         tt = get_rtime(); t_p += tt-t_0;
        !          2568:
        !          2569:         dp_subd(rp,red,&shift);
        !          2570:         dp_mulc_d(rp,(P)cr,&t);
        !          2571:         chsgnz(cred,&mcred);
        !          2572:         dp_mulc_d(red,(P)mcred,&t1);
        !          2573:         muld(CO,shift,t1,&t1);
        !          2574:         addd(CO,t,t1,&u);
        !          2575:         t_m += get_rtime()-tt;
        !          2576:
        !          2577:         psugar = (BDY(rp)->dl->td - BDY(red)->dl->td) + red->sugar;
        !          2578:         sugar = MAX(sugar,psugar);
        !          2579:
        !          2580:         if ( GenTrace ) {
        !          2581:           /* u = cr*rp + (-cred)*shift*red */
        !          2582:           STOQ((long)BDY(l),cq);
        !          2583:           node = mknode(4,cr,cq,NULLP,NULLP);
        !          2584:           mulz(cred,rc,&rcred);
        !          2585:           chsgnz(rcred,&mrcred);
        !          2586:           muldc(CO,shift,(Obj)mrcred,(DP *)&ARG2(node));
        !          2587:           MKLIST(hist,node);
        !          2588:         }
        !          2589:
        !          2590:         if ( !u ) {
        !          2591:           if ( dp )
        !          2592:             dp->sugar = sugar;
        !          2593:           *r = dp;
        !          2594:           if ( GenTrace ) {
        !          2595:             ARG3(BDY(hist)) = ONE;
        !          2596:             MKNODE(node,hist,TraceList); TraceList = node;
        !          2597:           }
        !          2598:           goto final;
        !          2599:         }
        !          2600:         break;
        !          2601:       }
        !          2602:     }
        !          2603:     if ( u ) {
        !          2604:       if ( multiple && HMAG(u) > hmag ) {
        !          2605:         t_0 = get_rtime();
        !          2606:         dp_ptozp(u,&rp);
        !          2607:         tt = get_rtime(); t_g += tt-t_0;
        !          2608:
        !          2609:         divsz((Z)BDY(u)->c,(Z)BDY(rp)->c,&cont);
        !          2610:         if ( !dp_fcoeffs && DP_NFStat ) {
        !          2611:           fprintf(asir_out,
        !          2612:             "(%d)",p_mag((P)cont)*100/p_mag((P)BDY(u)->c));
        !          2613:           fflush(asir_out);
        !          2614:         }
        !          2615:         mulz(cr,dc,&dcq); mulz(cont,rc,&rcq);
        !          2616:         igcd_cofactor(dcq,rcq,&gcd,&dc,&rc);
        !          2617:         t_a = get_rtime()-tt;
        !          2618:
        !          2619:         hmag = multiple*HMAG(rp)/denom;
        !          2620:         if ( GenTrace ) {
        !          2621:           ARG3(BDY(hist)) = (pointer)gcd;
        !          2622:           MKNODE(node,hist,TraceList); TraceList = node;
        !          2623:         }
        !          2624:       } else {
        !          2625:         rp = u;
        !          2626:         t_0 = get_rtime();
        !          2627:         mulz(cr,dc,&dc);
        !          2628:         t_a += get_rtime()-t_0;
        !          2629:         if ( GenTrace ) {
        !          2630:           ARG3(BDY(hist)) = (pointer)ONE;
        !          2631:           MKNODE(node,hist,TraceList); TraceList = node;
        !          2632:         }
        !          2633:       }
        !          2634:     } else if ( !full ) {
        !          2635:       if ( rp ) {
        !          2636:         MKDP(rp->nv,BDY(rp),t); t->sugar = sugar; rp = t;
        !          2637:       }
        !          2638:       *r = rp;
        !          2639:       goto final;
        !          2640:     } else {
        !          2641:       t_0 = get_rtime();
        !          2642:       mulz((Z)BDY(rp)->c,rc,&c);
        !          2643:       igcd_cofactor(dc,c,&dc,&dcq,&cq);
        !          2644:       muldc(CO,dp,(Obj)dcq,&t);
        !          2645:       dp_hm(rp,&t1); BDY(t1)->c = (Obj)cq;  addd(CO,t,t1,&dp);
        !          2646:       dp_rest(rp,&rp);
        !          2647:       t_a += get_rtime()-t_0;
        !          2648:     }
        !          2649:   }
        !          2650:   if ( GenTrace ) {
        !          2651:     mulz((Z)ARG3(BDY((LIST)BDY(TraceList))),dc,&cq);
        !          2652:     ARG3(BDY((LIST)BDY(TraceList))) = (pointer)cq;
        !          2653:   }
        !          2654:   if ( dp )
        !          2655:     dp->sugar = sugar;
        !          2656:   *r = dp;
        !          2657: final:
        !          2658:   if ( DP_NFStat )
        !          2659:     fprintf(asir_out,
        !          2660:       "(%.3g %.3g %.3g %.3g %.3g %.3g %.3g %.3g)",
        !          2661:       t_p,t_m,t_g,t_a,
        !          2662:       pz_t_e, pz_t_d, pz_t_d1, pz_t_c);
        !          2663: }
        !          2664:
        !          2665: void imulv();
        !          2666:
        !          2667: void dp_imul_d(DP p,Q q,DP *rp)
        !          2668: {
        !          2669:   int nsep,ndist,i,j,k,l,n;
        !          2670:   double t0,t1,t2;
        !          2671:   Q *s;
        !          2672:   pointer *b;
        !          2673:   VECT c,cs,ri;
        !          2674:   VECT *r;
        !          2675:   MP m;
        !          2676:   NODE tn,dist,n0;
        !          2677:   Obj obj;
        !          2678:   STRING imul;
        !          2679:   extern LIST Dist;
        !          2680:
        !          2681:   if ( !p || !q ) {
        !          2682:     *rp = 0; return;
        !          2683:   }
        !          2684:   dist = BDY(Dist);
        !          2685:   for ( tn = dist, ndist = 0; tn; tn = NEXT(tn), ndist++ );
        !          2686:   nsep = ndist + 1;
        !          2687:   for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ );
        !          2688:   if ( n <= nsep ) {
        !          2689:     muldc(CO,p,(Obj)q,rp); return;
        !          2690:   }
        !          2691:   MKSTR(imul,"imulv");
        !          2692:   t0 = get_rtime();
        !          2693:   dp_dtov(p,&c);
        !          2694:   sepvect(c,nsep,&cs);
        !          2695:   r = (VECT *)CALLOC(nsep,sizeof(VECT *));
        !          2696:   for ( i = 0, tn = dist, b = BDY(cs); i < ndist; i++, tn = NEXT(tn) ) {
        !          2697:     n0 = mknode(4,BDY(tn),imul,b[i],q);
        !          2698:     Pox_rpc(n0,&obj);
        !          2699:   }
        !          2700:   t1 = get_rtime();
        !          2701:   im_t_s += t1 - t0;
        !          2702:   imulv(b[i],q,&r[i]);
        !          2703:   t1 = get_rtime();
        !          2704:   for ( i = 0, tn = dist; i < ndist; i++, tn = NEXT(tn) ) {
        !          2705:     MKNODE(n0,BDY(tn),0);
        !          2706:     Pox_pop_local(n0,&obj); r[i] = (VECT)obj;
        !          2707:     if ( OID(r[i]) == O_ERR ) {
        !          2708:       printexpr(CO,(Obj)r[i]);
        !          2709:       error("dp_imul_d : aborted");
        !          2710:     }
        !          2711:   }
        !          2712:   t2 = get_rtime();
        !          2713:   im_t_r += t2 - t1;
        !          2714:   s = (Q *)CALLOC(n,sizeof(Q));
        !          2715:   for ( i = j = 0; i < nsep; i++ ) {
        !          2716:     for ( k = 0, ri = r[i], l = ri->len; k < l; k++, j++ ) {
        !          2717:       s[j] = (Q)BDY(ri)[k];
        !          2718:     }
        !          2719:   }
        !          2720:   dp_vtod(s,p,rp);
        !          2721: }
        !          2722:
        !          2723: void imulv(VECT w,Q c,VECT *rp)
        !          2724: {
        !          2725:   int n,i;
        !          2726:   VECT r;
        !          2727:
        !          2728:   n = w->len;
        !          2729:   MKVECT(r,n); *rp = r;
        !          2730:   for ( i = 0; i < n; i++ )
        !          2731:     mulq((Q)BDY(w)[i],(Q)c,(Q *)&BDY(r)[i]);
        !          2732: }
        !          2733:
        !          2734: void dptoca(DP p,unsigned int **rp)
        !          2735: {
        !          2736:   int i;
        !          2737:   MP m;
        !          2738:   unsigned int *r;
        !          2739:
        !          2740:   if ( !p )
        !          2741:     *rp = 0;
        !          2742:   else {
        !          2743:     for ( m = BDY(p), i = 0; m; m = NEXT(m), i++ );
        !          2744:     *rp = r = (unsigned int *)MALLOC_ATOMIC(i*sizeof(unsigned int));
        !          2745:     for ( m = BDY(p), i = 0; m; m = NEXT(m), i++ )
        !          2746:       r[i] = ITOS(C(m));
        !          2747:   }
        !          2748: }
        !          2749:

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