[1a80b4] | 1 | //////////////////////////////////////////////////////////// |
---|
| 2 | // emacs edit mode for this file is -*- C++ -*- |
---|
| 3 | ///////////////////////////////////////////////////////////// |
---|
| 4 | // FACTORY - Includes |
---|
| 5 | #include <factory.h> |
---|
[e2ca88] | 6 | #ifdef HAVE_IOSTREAM |
---|
| 7 | #define CIN std::cin |
---|
| 8 | #else |
---|
| 9 | #define CIN cin |
---|
| 10 | #endif |
---|
[1a80b4] | 11 | // Factor - Includes |
---|
| 12 | #include <SqrFree.h> |
---|
| 13 | #include <Factor.h> |
---|
[3e55bc] | 14 | #include <interrupt.h> |
---|
[1a80b4] | 15 | // Charset - Includes |
---|
| 16 | #include "csutil.h" |
---|
[4a81ec] | 17 | #include "algfactor.h" |
---|
| 18 | #include "alg_factor.h" |
---|
| 19 | // Some CC's need this: |
---|
| 20 | #include "charset.h" |
---|
[1a80b4] | 21 | |
---|
| 22 | #ifdef BASICSETDEBUG |
---|
| 23 | # define DEBUGOUTPUT |
---|
| 24 | #else |
---|
| 25 | # undef DEBUGOUTPUT |
---|
| 26 | #endif |
---|
| 27 | |
---|
[d92d71] | 28 | #include <libfac/factor/debug.h> |
---|
[1a80b4] | 29 | #include "timing.h" |
---|
[be5dff] | 30 | TIMING_DEFINE_PRINT(subfactorize_time) |
---|
[1a80b4] | 31 | |
---|
| 32 | |
---|
| 33 | // forward declarations: |
---|
| 34 | static CFList irras(CFList & AS, int &ja, CanonicalForm & reducible); |
---|
| 35 | |
---|
| 36 | #ifdef BASICSETDEBUG |
---|
| 37 | # define DEBUGOUTPUT |
---|
| 38 | #else |
---|
| 39 | # undef DEBUGOUTPUT |
---|
| 40 | #endif |
---|
[d92d71] | 41 | #include <libfac/factor/debug.h> |
---|
[1a80b4] | 42 | |
---|
[3e55bc] | 43 | // the next computes a characteristic set (a basic set in Wang's sense) |
---|
[1a80b4] | 44 | CFList |
---|
| 45 | BasicSet( const CFList &PS ) |
---|
| 46 | { |
---|
| 47 | CFList QS = PS, BS, RS; |
---|
| 48 | CanonicalForm b; |
---|
| 49 | int cb; |
---|
| 50 | |
---|
[e2ca88] | 51 | DEBOUTLN(CERR, "BasicSet: called with ps= ", PS); |
---|
[1a80b4] | 52 | if ( PS.length() < 2 ) return PS; |
---|
| 53 | while ( ! QS.isEmpty() ) { |
---|
[405ebc] | 54 | b = lowestRank( QS ); |
---|
| 55 | cb = rank( b ); |
---|
[e2ca88] | 56 | DEBOUTLN(CERR, "BasicSet: choose b = ", b); |
---|
| 57 | DEBOUTLN(CERR, "BasicSet: it's rank = ", cb); |
---|
[405ebc] | 58 | BS=Union(CFList(b),BS);//BS.append( b ); |
---|
| 59 | if ( rank( b ) == 0 ) |
---|
| 60 | return Union(PS, CFList(b)) ; // b should be the first elem! |
---|
| 61 | else { |
---|
| 62 | RS = CFList(); |
---|
| 63 | // QS:= {q \in QS -{B} | q is reduced wrt b} |
---|
| 64 | // We can process whole QS, because b is not reduced wrt. b |
---|
| 65 | for ( CFListIterator i = QS; i.hasItem(); ++i ) |
---|
| 66 | if ( degree( i.getItem(), cb ) < degree( b ) ) |
---|
| 67 | //RS.append( i.getItem() ); |
---|
[1a80b4] | 68 | RS = Union(CFList(i.getItem()),RS); |
---|
[405ebc] | 69 | QS = RS; |
---|
| 70 | } |
---|
[1a80b4] | 71 | } |
---|
[e2ca88] | 72 | DEBOUTLN(CERR, "BasicSet: returning bs= ", BS); |
---|
[1a80b4] | 73 | return BS; |
---|
| 74 | } |
---|
| 75 | |
---|
[4a81ec] | 76 | int |
---|
| 77 | checkok( const CFList & PS, CFList & FS2){ |
---|
| 78 | CanonicalForm elem; |
---|
[1a80b4] | 79 | |
---|
[4a81ec] | 80 | for ( CFListIterator i=PS; i.hasItem(); i++){ |
---|
| 81 | elem= i.getItem(); |
---|
| 82 | for (CFListIterator j=FS2; j.hasItem(); j++){ |
---|
| 83 | if (elem == j.getItem()){ |
---|
[405ebc] | 84 | // FS2= Difference(FS2,CFList(elem)); |
---|
| 85 | return 0; |
---|
[4a81ec] | 86 | } |
---|
| 87 | } |
---|
| 88 | } |
---|
| 89 | return 1; |
---|
| 90 | } |
---|
[1a80b4] | 91 | |
---|
| 92 | #ifdef MCHARSETNDEBUG |
---|
| 93 | # define DEBUGOUTPUT |
---|
| 94 | #else |
---|
| 95 | # undef DEBUGOUTPUT |
---|
| 96 | #endif |
---|
[d92d71] | 97 | #include <libfac/factor/debug.h> |
---|
[1a80b4] | 98 | |
---|
[3e55bc] | 99 | // The modified CharSet (an extended characteristic set with certain factors |
---|
| 100 | // canceled; this is a characteristic set in Wang's sense) |
---|
[1a80b4] | 101 | CFList |
---|
| 102 | MCharSetN( const CFList &PS, PremForm & Remembern ){ |
---|
[9e131d] | 103 | CFList QS = PS, RS = PS, CSet, OLDCS; |
---|
[1a80b4] | 104 | |
---|
[e2ca88] | 105 | DEBOUTLN(CERR, "MCharSetN: called with ps= ", PS); |
---|
[1a80b4] | 106 | while ( ! RS.isEmpty() ) { |
---|
[9e131d] | 107 | CSet = BasicSet( QS ); |
---|
| 108 | OLDCS=CSet; |
---|
| 109 | DEBOUTLN(CERR, "MCharSetN: CS= ", CSet); |
---|
| 110 | // if ( getNumVars(CSet.getFirst()) > 1 ){ |
---|
| 111 | // //CSet = removecontent(CSet, Remembern); |
---|
[1a80b4] | 112 | // #ifdef MCHARSETNDEBUG |
---|
[9e131d] | 113 | // CERR << "MCharSetN: CSet= " << CSet << "\n"; |
---|
[1a80b4] | 114 | // #endif |
---|
| 115 | // } |
---|
[9e131d] | 116 | Remembern.FS1 = Union(Remembern.FS1, initalset1(CSet)); |
---|
[e2ca88] | 117 | DEBOUTLN(CERR, "MCharSetN: Remembern.FS1= ", Remembern.FS1); |
---|
| 118 | DEBOUTLN(CERR, "MCharSetN: Remembern.FS2= ", Remembern.FS2); |
---|
[1a80b4] | 119 | RS = CFList(); |
---|
[9e131d] | 120 | if ( rank( CSet.getFirst() ) != 0 ) { |
---|
| 121 | CFList D = Difference( QS, CSet ); |
---|
[e2ca88] | 122 | DEBOUT(CERR, "MCharSetN: Difference( ", QS); |
---|
[9e131d] | 123 | DEBOUT(CERR, " , ", CSet); |
---|
[e2ca88] | 124 | DEBOUTLN(CERR, " ) = ", D); |
---|
[9e131d] | 125 | //CERR << "MCharSetN: Difference( " << QS << " , " << CSet << " ) = " << D << "\n"; |
---|
[1a80b4] | 126 | //PremForm Oldremember=Remembern; |
---|
| 127 | //PremForm Newremember=Remembern; |
---|
| 128 | for ( CFListIterator i = D; i.hasItem(); ++i ) { |
---|
[9e131d] | 129 | CanonicalForm r = Prem( i.getItem(), CSet ); |
---|
[e2ca88] | 130 | DEBOUT(CERR,"MCharSetN: Prem(", i.getItem() ); |
---|
[9e131d] | 131 | DEBOUT(CERR, ",", CSet); |
---|
[e2ca88] | 132 | DEBOUTLN(CERR,") = ", r); |
---|
[9e131d] | 133 | //CERR << "MCharSetN: Prem("<< i.getItem() << "," << CSet << ") = " << r << "\n"; |
---|
[405ebc] | 134 | if ( r != 0 ){ |
---|
| 135 | //removefactor( r, Newremember ); |
---|
| 136 | removefactor( r, Remembern ); |
---|
| 137 | //Remembern.FS2 = Union(Remembern.FS2, Newremember.FS2); |
---|
| 138 | //Newremember = Oldremember; |
---|
| 139 | //if ( cls(r) > 0 ) |
---|
| 140 | //RS=Union(CFList(r),RS);//RS.append( r ); |
---|
[1a80b4] | 141 | RS=Union(RS,CFList(r)); |
---|
[405ebc] | 142 | } |
---|
[1a80b4] | 143 | } |
---|
| 144 | if ( ! checkok(RS,Remembern.FS2)) return CFList(CanonicalForm(1)); |
---|
[e2ca88] | 145 | DEBOUTLN(CERR, "MCharSetN: RS= ", RS); |
---|
[1a80b4] | 146 | //QS = Union( QS, RS ); |
---|
| 147 | QS = Union(OLDCS,RS); |
---|
[e2ca88] | 148 | DEBOUTLN(CERR, "MCharSetN: QS= Union(QS,RS)= ", QS); |
---|
[1a80b4] | 149 | } |
---|
| 150 | else{ return CFList(CanonicalForm(1)); } |
---|
| 151 | } |
---|
[e2ca88] | 152 | DEBOUTLN(CERR, "MCharSetN: Removed factors: ", Remembern.FS2); |
---|
| 153 | DEBOUTLN(CERR, "MCharSetN: Remembern.FS1: ", Remembern.FS1); |
---|
[1a80b4] | 154 | |
---|
[9e131d] | 155 | return CSet; |
---|
[1a80b4] | 156 | } |
---|
| 157 | |
---|
[4a81ec] | 158 | |
---|
| 159 | CFList |
---|
| 160 | mcharset( const CFList &PS, PremForm & Remembern ){ |
---|
| 161 | CFList cs= MCharSetN(PS, Remembern ); |
---|
| 162 | CFList rs= remsetb(Difference(PS,cs),cs); |
---|
| 163 | |
---|
[e2ca88] | 164 | DEBOUTLN(CERR, "mcharset: cs= ", cs); |
---|
| 165 | DEBOUTLN(CERR, "mcharset: rs= ", rs); |
---|
[4a81ec] | 166 | if ( rs.length() > 0 ) |
---|
| 167 | cs= mcharset(Union(PS,Union(cs,rs)), Remembern); |
---|
| 168 | return cs; |
---|
| 169 | } |
---|
| 170 | |
---|
[3e55bc] | 171 | // the "original" extended characteristic set |
---|
[1a80b4] | 172 | CFList |
---|
| 173 | CharSet( const CFList &PS ){ |
---|
[9e131d] | 174 | CFList QS = PS, RS = PS, CSet; |
---|
[1a80b4] | 175 | |
---|
| 176 | while ( ! RS.isEmpty() ) { |
---|
[9e131d] | 177 | CSet = BasicSet( QS ); |
---|
| 178 | DEBOUTLN(CERR, "CharSet: CSet= ", CSet); |
---|
[1a80b4] | 179 | RS = CFList(); |
---|
[9e131d] | 180 | if ( rank( CSet.getFirst() ) != 0 ) { |
---|
| 181 | CFList D = Difference( QS, CSet ); |
---|
[1a80b4] | 182 | for ( CFListIterator i = D; i.hasItem(); ++i ) { |
---|
[9e131d] | 183 | CanonicalForm r = Prem( i.getItem(), CSet ); |
---|
[405ebc] | 184 | if ( r != 0 ) RS=Union(CFList(r),RS);//RS.append( r ); |
---|
[1a80b4] | 185 | } |
---|
| 186 | QS = Union( QS, RS ); |
---|
| 187 | } |
---|
| 188 | } |
---|
[9e131d] | 189 | return CSet; |
---|
[1a80b4] | 190 | } |
---|
| 191 | |
---|
| 192 | static CFList |
---|
| 193 | charseta( const CFList & PS ){ |
---|
[9e131d] | 194 | CFList QS = PS, RS = PS, CSet; |
---|
[1a80b4] | 195 | |
---|
| 196 | while ( ! RS.isEmpty() ) { |
---|
[9e131d] | 197 | CSet = CharSet( QS ); |
---|
[1a80b4] | 198 | RS = CFList(); |
---|
[9e131d] | 199 | if ( rank( CSet.getFirst() ) != 0 ) { |
---|
| 200 | CFList D = Difference( QS, CSet ); |
---|
[1a80b4] | 201 | for ( CFListIterator i = D; i.hasItem(); ++i ) { |
---|
[9e131d] | 202 | CanonicalForm r = Prem( i.getItem(), CSet ); |
---|
[405ebc] | 203 | if ( r != 0 ) RS=Union(CFList(r),RS);//RS.append( r ); |
---|
[1a80b4] | 204 | } |
---|
[9e131d] | 205 | QS = Union(CSet,Union( QS, RS )); |
---|
[1a80b4] | 206 | } |
---|
| 207 | else return CFList(CanonicalForm(1)); |
---|
| 208 | } |
---|
[9e131d] | 209 | return CSet; |
---|
[1a80b4] | 210 | } |
---|
| 211 | |
---|
| 212 | static bool |
---|
| 213 | contractsub( const CFList & cs1, const CFList & cs2 ){ |
---|
| 214 | CFListIterator i; |
---|
| 215 | |
---|
| 216 | for ( i=cs1; i.hasItem(); i++ ) |
---|
| 217 | if ( Prem(i.getItem(),cs2 ) != 0 ) return false; |
---|
| 218 | CFList is=initalset1(cs1); |
---|
| 219 | for ( i=is; i.hasItem(); i++ ) |
---|
| 220 | if ( Prem(i.getItem(),cs2 ) == 0 ) return false; |
---|
| 221 | return true; |
---|
| 222 | } |
---|
| 223 | |
---|
| 224 | static ListCFList |
---|
| 225 | contract( const ListCFList & cs){ |
---|
| 226 | ListCFList mem,ts; |
---|
| 227 | CFList iitem,jitem; |
---|
| 228 | |
---|
| 229 | if ( cs.length() < 2 ) return cs; |
---|
| 230 | |
---|
| 231 | for ( ListCFListIterator i=cs; i.hasItem(); i++ ){ |
---|
| 232 | iitem=i.getItem(); |
---|
| 233 | if ( ! member(iitem, mem)) |
---|
| 234 | for ( ListCFListIterator j=i; j.hasItem(); j++){ |
---|
[405ebc] | 235 | jitem=j.getItem(); |
---|
| 236 | if ( ! same( iitem, jitem ) ) |
---|
| 237 | if ( ! member(jitem, mem)) |
---|
| 238 | if ( contractsub(iitem, jitem) ){ |
---|
| 239 | ts.append(jitem); mem.append(jitem); |
---|
| 240 | } |
---|
| 241 | else |
---|
| 242 | if ( contractsub(jitem, iitem) ){ |
---|
| 243 | ts.append(iitem); |
---|
| 244 | } |
---|
[1a80b4] | 245 | } |
---|
| 246 | } |
---|
| 247 | return Minus(cs,ts); |
---|
| 248 | } |
---|
| 249 | |
---|
[405ebc] | 250 | static ListCFList |
---|
[1a80b4] | 251 | adjoin(const CFList & is, const CFList & qs, const ListCFList & qh ){ |
---|
| 252 | ListCFList iss,qhi; |
---|
| 253 | ListCFListIterator j; |
---|
| 254 | CFList iscopy,itt; |
---|
| 255 | CFListIterator i; |
---|
| 256 | CanonicalForm elem; |
---|
| 257 | int ind, length; |
---|
| 258 | |
---|
| 259 | for ( i=is ; i.hasItem(); i++ ){ |
---|
| 260 | elem=i.getItem(); |
---|
[405ebc] | 261 | if ( cls(elem) > 0 ) iscopy=Union(CFList(elem),iscopy); |
---|
[1a80b4] | 262 | } |
---|
| 263 | if ( iscopy.isEmpty() ) return iss; |
---|
| 264 | qhi = MyDifference(qh,qs); |
---|
| 265 | length = qhi.length(); |
---|
| 266 | for ( i =iscopy; i.hasItem(); i++){ |
---|
| 267 | itt = Union(qs,CFList(i.getItem())); |
---|
| 268 | ind = 0; |
---|
| 269 | if ( length > 0 ) |
---|
| 270 | for ( j=qhi; j.hasItem(); j++ ) |
---|
[405ebc] | 271 | if ( subset(j.getItem(),itt )) ind=1; |
---|
[1a80b4] | 272 | if ( ind == 0 ) iss.append(itt); |
---|
| 273 | } |
---|
| 274 | return iss; |
---|
| 275 | } |
---|
| 276 | |
---|
[405ebc] | 277 | static ListCFList |
---|
[1a80b4] | 278 | adjoinb(const CFList & is, const CFList & qs, const ListCFList & qh ,const CFList & cs){ |
---|
| 279 | ListCFList iss,qhi; |
---|
| 280 | ListCFListIterator j; |
---|
| 281 | CFList iscopy,itt; |
---|
| 282 | CFListIterator i; |
---|
| 283 | CanonicalForm elem; |
---|
| 284 | int ind, length; |
---|
| 285 | |
---|
| 286 | for ( i=is ; i.hasItem(); i++ ){ |
---|
| 287 | elem=i.getItem(); |
---|
[405ebc] | 288 | if ( cls(elem) > 0 ) iscopy=Union(CFList(elem),iscopy); |
---|
[1a80b4] | 289 | } |
---|
| 290 | if ( iscopy.isEmpty() ) return iss; |
---|
| 291 | qhi = MyDifference(qh,qs); |
---|
| 292 | length = qhi.length(); |
---|
| 293 | for ( i =iscopy; i.hasItem(); i++){ |
---|
| 294 | itt = Union(Union(qs,CFList(i.getItem())),cs); |
---|
| 295 | ind = 0; |
---|
| 296 | if ( length > 0 ) |
---|
| 297 | for ( j=qhi; j.hasItem(); j++ ) |
---|
[405ebc] | 298 | if ( subset(j.getItem(),itt )) ind=1; |
---|
[1a80b4] | 299 | if ( ind == 0 ) {iss.append(itt);} |
---|
| 300 | } |
---|
| 301 | return iss; |
---|
| 302 | } |
---|
| 303 | |
---|
| 304 | static ListCFList |
---|
| 305 | sort( const ListCFList & list_to_sort ){ |
---|
| 306 | ListCFList output,copy=list_to_sort; |
---|
| 307 | CFList l,qs1,elem; |
---|
| 308 | |
---|
| 309 | l = copy.getLast(); copy.removeLast(); |
---|
| 310 | if ( copy.length() == 0 ){ return ListCFList(l); } |
---|
| 311 | for ( ListCFListIterator i=copy ; i.hasItem(); i++ ){ |
---|
| 312 | elem = i.getItem(); |
---|
[405ebc] | 313 | if ( elem.length() > l.length() ) { |
---|
[1a80b4] | 314 | output = MyUnion( ListCFList(l), output); |
---|
| 315 | l= elem; |
---|
| 316 | } |
---|
| 317 | else{ output = MyUnion(output, ListCFList(elem) ); } |
---|
| 318 | } |
---|
| 319 | //output = MyUnion(ListCFList(l),sort(output)); |
---|
| 320 | output = MyUnion(ListCFList(l),output); |
---|
| 321 | return output; |
---|
| 322 | } |
---|
| 323 | |
---|
| 324 | #ifdef IRRCHARSERIESDEBUG |
---|
| 325 | # define DEBUGOUTPUT |
---|
| 326 | #else |
---|
| 327 | # undef DEBUGOUTPUT |
---|
| 328 | #endif |
---|
[d92d71] | 329 | #include <libfac/factor/debug.h> |
---|
[1a80b4] | 330 | |
---|
| 331 | ListCFList |
---|
[4a81ec] | 332 | IrrCharSeries( const CFList &PS, int opt ){ |
---|
[1a80b4] | 333 | CanonicalForm reducible,reducible2; |
---|
| 334 | CFList qs,cs,factorset,is,ts; |
---|
| 335 | ListCFList pi,ppi,qqi,qsi,iss,qhi= ListCFList(PS); |
---|
[405ebc] | 336 | int nr_of_iteration=0,ts2,highestlevel=0; |
---|
[1a80b4] | 337 | |
---|
[e2ca88] | 338 | // CERR << getCharacteristic() << "\n"; |
---|
[1a80b4] | 339 | for ( CFListIterator Ps=PS; Ps.hasItem(); Ps++ ) |
---|
| 340 | if ( level(Ps.getItem() ) > highestlevel ) highestlevel = level(Ps.getItem()) ; |
---|
[4a81ec] | 341 | // for ( int xx=1; xx <= highestlevel; xx++) |
---|
[e2ca88] | 342 | // CERR << Variable(xx) ; |
---|
| 343 | // CERR << "\n"; |
---|
[4a81ec] | 344 | // for ( CFListIterator Ps=PS; Ps.hasItem(); Ps++ ) |
---|
[e2ca88] | 345 | // CERR << Ps.getItem() << ", " ;//<< "\n"; |
---|
| 346 | // CERR << "\n"; |
---|
[1a80b4] | 347 | while ( ! qhi.isEmpty() ) { |
---|
| 348 | qhi=sort(qhi); |
---|
[e2ca88] | 349 | DEBOUTLN(CERR, "qhi is: ", qhi); |
---|
[1a80b4] | 350 | qs=qhi.getFirst(); |
---|
[e2ca88] | 351 | DEBOUTLN(CERR, "qs is: ", qs); |
---|
| 352 | DEBOUTLN(CERR, "ppi is: ", ppi); |
---|
[1a80b4] | 353 | ListCFList ppi1,ppi2; |
---|
| 354 | select(ppi,qs.length(),ppi1,ppi2); |
---|
[e2ca88] | 355 | DEBOUTLN(CERR, "ppi1 is: ", ppi1); |
---|
| 356 | DEBOUTLN(CERR, "ppi2 is: ", ppi2); |
---|
[1a80b4] | 357 | qqi = MyUnion(ppi2,qqi); |
---|
[e2ca88] | 358 | DEBOUTLN(CERR, "qqi is: ", qqi); |
---|
[1a80b4] | 359 | if ( nr_of_iteration == 0 ){ nr_of_iteration += 1; ppi = ListCFList(); } |
---|
| 360 | else{ nr_of_iteration += 1; ppi = MyUnion(ListCFList(qs),ppi1); } |
---|
[e2ca88] | 361 | DEBOUTLN(CERR,"ppi is: ", ppi); |
---|
[1a80b4] | 362 | PremForm Remembern; |
---|
| 363 | cs = MCharSetN(qs,Remembern); |
---|
[e2ca88] | 364 | DEBOUTLN(CERR, "cs is: ", cs); |
---|
| 365 | DEBOUTLN(CERR, "factorset is: ", Remembern.FS2); |
---|
[1a80b4] | 366 | cs = removecontent(cs,Remembern); |
---|
| 367 | factorset=Remembern.FS2; |
---|
[e2ca88] | 368 | DEBOUTLN(CERR, "cs (after removecontent) is: ", cs); |
---|
| 369 | DEBOUTLN(CERR, "factorset is: ", factorset); |
---|
[1a80b4] | 370 | // Hier: removecontent einfuegen!!!! |
---|
| 371 | if ( cls(cs.getFirst()) > 0 ){ |
---|
| 372 | ts = irras(cs,ts2, reducible); |
---|
[3e55bc] | 373 | |
---|
| 374 | // INTERRUPTHANDLER |
---|
| 375 | if ( interrupt_handle() ) return ListCFList() ; |
---|
| 376 | // INTERRUPTHANDLER |
---|
| 377 | |
---|
[e2ca88] | 378 | DEBOUTLN(CERR, "ts is: ", ts); |
---|
| 379 | DEBOUTLN(CERR, "ts2 is: ", ts2); |
---|
[1a80b4] | 380 | // next is preliminary: should be ==0 |
---|
| 381 | if ( ts2 <= 0 ){ //irreducible |
---|
[405ebc] | 382 | if ( ! subset(cs,qs) ){ |
---|
[e2ca88] | 383 | DEBOUTMSG(CERR, "cs is not a subset of qs"); |
---|
[405ebc] | 384 | cs = charseta(Union(qs,cs)); |
---|
[e2ca88] | 385 | DEBOUTLN(CERR, "new cs is: ", cs); |
---|
[405ebc] | 386 | } |
---|
| 387 | if ( ! member(cs,pi) ){ |
---|
| 388 | pi = MyUnion(pi, ListCFList(cs)); |
---|
[e2ca88] | 389 | DEBOUTMSG(CERR, "cs is not a member of pi"); |
---|
| 390 | DEBOUTLN(CERR, "pi is: ", pi); |
---|
[405ebc] | 391 | if ( cls(cs.getFirst()) > 0 ){ |
---|
| 392 | ts = irras(cs,ts2,reducible); |
---|
| 393 | |
---|
| 394 | // INTERRUPTHANDLER |
---|
| 395 | if ( interrupt_handle() ) return ListCFList() ; |
---|
| 396 | // INTERRUPTHANDLER |
---|
| 397 | |
---|
[e2ca88] | 398 | DEBOUTLN(CERR, "ts is: ", ts); |
---|
| 399 | DEBOUTLN(CERR, "ts2 is: ", ts2); |
---|
[405ebc] | 400 | // next is preliminary: should be ==0 |
---|
| 401 | if ( ts2 <= 0 ){ //irreducible |
---|
| 402 | qsi = MyUnion(qsi,ListCFList(cs)); |
---|
[e2ca88] | 403 | DEBOUTLN(CERR, "qsi is: ", qsi); |
---|
[405ebc] | 404 | if ( cs.length() == highestlevel ){ |
---|
[e2ca88] | 405 | DEBOUTLN(CERR, "cs.length() == nops(ord) :", cs.length()); |
---|
[405ebc] | 406 | is = factorps(factorset); |
---|
| 407 | } |
---|
| 408 | else{ |
---|
[e2ca88] | 409 | DEBOUT(CERR,"cs.length() != nops(ord) :", cs.length()); |
---|
| 410 | DEBOUTLN(CERR, " nops(ord)= ", highestlevel); |
---|
[405ebc] | 411 | is = Union(initalset1(cs),factorps(factorset)); |
---|
| 412 | } |
---|
[e2ca88] | 413 | DEBOUTLN(CERR, "is is: ", is); |
---|
[405ebc] | 414 | iss = adjoin(is,qs,qqi); |
---|
[e2ca88] | 415 | DEBOUTLN(CERR, "iss is: ", iss); |
---|
[405ebc] | 416 | } |
---|
| 417 | } |
---|
| 418 | else{ iss = adjoin(factorps(factorset),qs,qqi); } |
---|
| 419 | } |
---|
| 420 | else{ |
---|
[e2ca88] | 421 | DEBOUTMSG(CERR, "cs is a member of pi"); |
---|
[405ebc] | 422 | iss = adjoin(factorps(factorset),qs,qqi); } |
---|
[e2ca88] | 423 | DEBOUTLN(CERR, "iss is: ", iss); |
---|
| 424 | DEBOUTLN(CERR, " factorps(factorset)= ", factorps(factorset)); |
---|
| 425 | DEBOUTLN(CERR, " qs= ", qs); |
---|
| 426 | DEBOUTLN(CERR, " qqi= ", qqi); |
---|
[1a80b4] | 427 | } |
---|
| 428 | // next is preliminary: should be !=0 |
---|
| 429 | if ( ts2 > 0 ){ |
---|
[405ebc] | 430 | is = factorps(factorset); |
---|
[e2ca88] | 431 | DEBOUTLN(CERR, "is is: ", is); |
---|
[405ebc] | 432 | if ( ts2 > 1 ){ |
---|
| 433 | // setup cst: need it later for adjoinb |
---|
| 434 | CFList cst; |
---|
| 435 | for ( CFListIterator i=cs ; i.hasItem(); i++){ |
---|
| 436 | if ( i.getItem() == reducible ) { break; } |
---|
| 437 | else { cst.append(i.getItem()); } |
---|
| 438 | } |
---|
| 439 | is = Union(initalset1(cst), is); |
---|
| 440 | iss = MyUnion(adjoin(is,qs,qqi), adjoinb(ts,qs,qqi,cst)); |
---|
| 441 | } |
---|
| 442 | else{ iss = adjoin(Union(is,ts),qs,qqi); } |
---|
[e2ca88] | 443 | DEBOUTLN(CERR, "iss is: ", iss); |
---|
[1a80b4] | 444 | } |
---|
| 445 | } |
---|
[405ebc] | 446 | else{ |
---|
| 447 | iss = adjoin(factorps(factorset),qs,qqi); |
---|
[e2ca88] | 448 | DEBOUTMSG(CERR, "case: cs is a constant."); |
---|
| 449 | DEBOUTLN(CERR, " qs = ", qs); |
---|
| 450 | DEBOUTLN(CERR, " qqi = ", qqi); |
---|
| 451 | DEBOUTLN(CERR, " iss = adjoin(factorps(factorset),qs,qqi) = ",iss); |
---|
[1a80b4] | 452 | } |
---|
| 453 | if ( qhi.length() > 1 ){ qhi.removeFirst(); qhi = MyUnion(qhi,iss); } |
---|
| 454 | else{ qhi = iss; } |
---|
[e2ca88] | 455 | DEBOUTLN(CERR, "iss is: ", iss); |
---|
[1a80b4] | 456 | } |
---|
[405ebc] | 457 | if ( ! qsi.isEmpty() ){ |
---|
[e2ca88] | 458 | DEBOUTLN(CERR, "qsi before contract= ", qsi); |
---|
[4a81ec] | 459 | if ( opt == 0 ){ |
---|
[405ebc] | 460 | return contract( qsi ); |
---|
[4a81ec] | 461 | } |
---|
| 462 | else { return qsi; } |
---|
[1a80b4] | 463 | } |
---|
| 464 | else{ return ListCFList() ; } |
---|
[405ebc] | 465 | } |
---|
[1a80b4] | 466 | |
---|
| 467 | // tests for characteristic sets |
---|
| 468 | ////////////////////////////////// |
---|
| 469 | #ifdef IRRASDEBUG |
---|
| 470 | # define DEBUGOUTPUT |
---|
| 471 | #else |
---|
| 472 | # undef DEBUGOUTPUT |
---|
| 473 | #endif |
---|
| 474 | |
---|
[d92d71] | 475 | #include <libfac/factor/debug.h> |
---|
[1a80b4] | 476 | |
---|
| 477 | static CFList |
---|
[9e9b7c] | 478 | irras( CFList & AS, int & ja, CanonicalForm & reducible) |
---|
| 479 | { |
---|
[1a80b4] | 480 | CFFList qs; |
---|
| 481 | CFList ts,as; |
---|
| 482 | CanonicalForm elem; |
---|
[4a81ec] | 483 | int ind=1,nr=0, success=-1; |
---|
| 484 | CFListIterator i; |
---|
[1a80b4] | 485 | |
---|
| 486 | ja = 0; |
---|
[e2ca88] | 487 | DEBOUTLN(CERR, "irras: called with: AS= ", AS); |
---|
[9e9b7c] | 488 | for ( i=AS; i.hasItem(); i++ ) |
---|
| 489 | { |
---|
[1a80b4] | 490 | elem = i.getItem(); |
---|
| 491 | nr += 1; |
---|
[e2ca88] | 492 | DEBOUT(CERR, "irras: factoring: ", elem); |
---|
[4a81ec] | 493 | if ( degree(elem) > 1 ) // linear poly's are irreduzible |
---|
[639047e] | 494 | { |
---|
[af221ea] | 495 | qs = Factorize(elem); |
---|
[9e9b7c] | 496 | // remove a constant |
---|
| 497 | if (qs.getFirst().factor().degree()==0) qs.removeFirst(); |
---|
[639047e] | 498 | } |
---|
[9e9b7c] | 499 | else |
---|
| 500 | { |
---|
[4a81ec] | 501 | qs=(CFFactor(elem,1)); |
---|
| 502 | } |
---|
[e2ca88] | 503 | DEBOUTLN(CERR, " = ", qs); |
---|
[3e55bc] | 504 | // INTERRUPTHANDLER |
---|
| 505 | if ( interrupt_handle() ) return CFList() ; |
---|
| 506 | // INTERRUPTHANDLER |
---|
[9e9b7c] | 507 | |
---|
| 508 | if ( (qs.length() >= 2 ) || (qs.getFirst().exp() > 1)) |
---|
| 509 | { |
---|
[e2ca88] | 510 | DEBOUTLN(CERR, "irras: Setting ind=0, ja= ", nr); |
---|
[405ebc] | 511 | ja=nr; ind=0; reducible= elem; |
---|
[1a80b4] | 512 | break; |
---|
| 513 | } |
---|
[4a81ec] | 514 | // else{ as.append(elem) ; } |
---|
[1a80b4] | 515 | } |
---|
[e2ca88] | 516 | // CERR << "ind= " << ind << "\n"; |
---|
[9e9b7c] | 517 | if ( (ind == 1) ) //&& ( as.length() > 1) ) |
---|
| 518 | { |
---|
| 519 | if ( irreducible(AS) ) |
---|
| 520 | { // as quasilinear? => irreducible! |
---|
[405ebc] | 521 | ja = 0; |
---|
[e2ca88] | 522 | DEBOUTLN(CERR, "as is irreducible. as= ", AS); |
---|
[4a81ec] | 523 | } |
---|
[9e9b7c] | 524 | else |
---|
| 525 | { |
---|
[4a81ec] | 526 | i=AS; |
---|
[9e9b7c] | 527 | for ( nr=1; nr< AS.length(); nr++) |
---|
| 528 | { |
---|
[405ebc] | 529 | as.append(i.getItem()); |
---|
| 530 | i++; |
---|
[9e9b7c] | 531 | if ( degree(i.getItem()) > 1 ) |
---|
| 532 | { // search for a non linear elem |
---|
[405ebc] | 533 | elem=i.getItem(); |
---|
[ee586a] | 534 | //if (as.length()==1) |
---|
| 535 | // qs = Factorize2(elem,as.getFirst()); |
---|
| 536 | //else |
---|
[9e9b7c] | 537 | qs= newfactoras(elem,as,success); |
---|
| 538 | if ( qs.length() > 1 || qs.getFirst().exp() > 1 ) |
---|
| 539 | { //found elem is reducible |
---|
[405ebc] | 540 | reducible=elem; |
---|
| 541 | ja=nr+1; |
---|
| 542 | break; |
---|
| 543 | } |
---|
| 544 | } |
---|
[4a81ec] | 545 | } |
---|
[1a80b4] | 546 | } |
---|
| 547 | } |
---|
| 548 | for ( CFFListIterator k=qs; k.hasItem();k++) |
---|
| 549 | ts.append(k.getItem().factor()); |
---|
| 550 | return ts; |
---|
| 551 | } |
---|
[9e9b7c] | 552 | |
---|
[1a80b4] | 553 | /////////////////////////////////////////////////////////////////////////////// |
---|