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Data Structures | Macros | Functions
fglmzero.cc File Reference
#include "kernel/mod2.h"
#include "factory/factory.h"
#include "factory/templates/ftmpl_list.h"
#include "factory/templates/ftmpl_list.cc"
#include "misc/options.h"
#include "misc/intvec.h"
#include "polys/monomials/maps.h"
#include "polys/monomials/ring.h"
#include "kernel/polys.h"
#include "kernel/ideals.h"
#include "kernel/GBEngine/kstd1.h"
#include "fglm.h"
#include "fglmvec.h"
#include "fglmgauss.h"

Go to the source code of this file.

Data Structures

struct  matElem
 The idealFunctionals. More...
 
struct  matHeader
 
class  idealFunctionals
 
class  borderElem
 The old basis. More...
 
class  fglmSdata
 
class  oldGaussElem
 
class  fglmDdata
 

Macros

#define PROT(msg)
 
#define STICKYPROT(msg)   if (BTEST1(OPT_PROT)) Print(msg)
 
#define PROT2(msg, arg)
 
#define STICKYPROT2(msg, arg)   if (BTEST1(OPT_PROT)) Print(msg,arg)
 
#define fglmASSERT(ignore1, ignore2)
 

Functions

void internalCalculateFunctionals (const ideal, idealFunctionals &l, fglmSdata &data)
 
static BOOLEAN CalculateFunctionals (const ideal &theIdeal, idealFunctionals &l)
 
static BOOLEAN CalculateFunctionals (const ideal &theIdeal, idealFunctionals &l, poly &p, fglmVector &v)
 
static ideal GroebnerViaFunctionals (const idealFunctionals &l, fglmVector iv=fglmVector())
 
static ideal FindUnivariatePolys (const idealFunctionals &l)
 
BOOLEAN fglmzero (ring sourceRing, ideal &sourceIdeal, ring destRing, ideal &destIdeal, BOOLEAN switchBack, BOOLEAN deleteIdeal)
 
BOOLEAN fglmquot (ideal sourceIdeal, poly quot, ideal &destIdeal)
 
BOOLEAN FindUnivariateWrapper (ideal source, ideal &destIdeal)
 

Data Structure Documentation

◆ matElem

struct matElem

The idealFunctionals.

Definition at line 61 of file fglmzero.cc.

Data Fields
number elem
int row

◆ matHeader

struct matHeader

Definition at line 67 of file fglmzero.cc.

Data Fields
matElem * elems
BOOLEAN owner
int size

Macro Definition Documentation

◆ fglmASSERT

#define fglmASSERT (   ignore1,
  ignore2 
)

Definition at line 52 of file fglmzero.cc.

◆ PROT

#define PROT (   msg)

Definition at line 48 of file fglmzero.cc.

◆ PROT2

#define PROT2 (   msg,
  arg 
)

Definition at line 50 of file fglmzero.cc.

◆ STICKYPROT

#define STICKYPROT (   msg)    if (BTEST1(OPT_PROT)) Print(msg)

Definition at line 49 of file fglmzero.cc.

◆ STICKYPROT2

#define STICKYPROT2 (   msg,
  arg 
)    if (BTEST1(OPT_PROT)) Print(msg,arg)

Definition at line 51 of file fglmzero.cc.

Function Documentation

◆ CalculateFunctionals() [1/2]

static BOOLEAN CalculateFunctionals ( const ideal &  theIdeal,
idealFunctionals l 
)
static

Definition at line 673 of file fglmzero.cc.

674 {
675  fglmSdata data( theIdeal );
676  internalCalculateFunctionals( theIdeal, l, data );
677  return ( data.state() );
678 }

◆ CalculateFunctionals() [2/2]

static BOOLEAN CalculateFunctionals ( const ideal &  theIdeal,
idealFunctionals l,
poly &  p,
fglmVector v 
)
static

Definition at line 681 of file fglmzero.cc.

683 {
684  fglmSdata data( theIdeal );
685  internalCalculateFunctionals( theIdeal, l, data );
686  // STICKYPROT("Calculating vector rep\n");
687  v = data.getVectorRep( p );
688  // if ( v.isZero() )
689  // STICKYPROT("vectorrep is 0\n");
690  return ( data.state() );
691 }

◆ fglmquot()

BOOLEAN fglmquot ( ideal  sourceIdeal,
poly  quot,
ideal &  destIdeal 
)

Definition at line 1218 of file fglmzero.cc.

1219 {
1220  BOOLEAN fglmok;
1221  fglmVector v;
1222 
1223  idealFunctionals L( 100, (currRing->N) );
1224  // STICKYPROT("calculating normal form\n");
1225  // poly p = kNF( sourceIdeal, currRing->qideal, quot );
1226  // STICKYPROT("calculating functionals\n");
1227  fglmok = CalculateFunctionals( sourceIdeal, L, quot, v );
1228  if ( fglmok == TRUE ) {
1229  // STICKYPROT("calculating groebner basis\n");
1230  destIdeal= GroebnerViaFunctionals( L, v );
1231  }
1232  return fglmok;
1233 }

◆ fglmzero()

BOOLEAN fglmzero ( ring  sourceRing,
ideal &  sourceIdeal,
ring  destRing,
ideal &  destIdeal,
BOOLEAN  switchBack,
BOOLEAN  deleteIdeal 
)

Definition at line 1193 of file fglmzero.cc.

1194 {
1195  ring initialRing = currRing;
1196  BOOLEAN fglmok;
1197 
1198  if ( currRing != sourceRing )
1199  {
1200  rChangeCurrRing( sourceRing );
1201  }
1202  idealFunctionals L( 100, rVar(currRing) );
1203  fglmok = CalculateFunctionals( sourceIdeal, L );
1204  if ( deleteIdeal == TRUE )
1205  idDelete( & sourceIdeal );
1206  rChangeCurrRing( destRing );
1207  if ( fglmok == TRUE )
1208  {
1209  L.map( sourceRing );
1210  destIdeal= GroebnerViaFunctionals( L );
1211  }
1212  if ( (switchBack) && (currRing != initialRing) )
1213  rChangeCurrRing( initialRing );
1214  return fglmok;
1215 }

◆ FindUnivariatePolys()

static ideal FindUnivariatePolys ( const idealFunctionals l)
static

Definition at line 1118 of file fglmzero.cc.

1119 {
1120  fglmVector v;
1121  fglmVector p;
1122  ideal destIdeal = idInit( (currRing->N), 1 );
1123 
1124  int i;
1125  BOOLEAN isZero;
1126  int *varpermutation = (int*)omAlloc( ((currRing->N)+1)*sizeof(int) );
1127  ideal perm = idMaxIdeal(1);
1128  intvec *iv = idSort(perm,TRUE);
1129  idDelete(&perm);
1130  for(i = (currRing->N); i > 0; i--) varpermutation[(currRing->N)+1-i] = (*iv)[i-1];
1131  delete iv;
1132 
1133  for (i= 1; i <= (currRing->N); i++ )
1134  {
1135  // main loop
1136  STICKYPROT2( "(%i)", i /*varpermutation[i]*/);
1137  gaussReducer gauss( l.dimen() );
1138  isZero= FALSE;
1139  v= fglmVector( l.dimen(), 1 );
1140  while ( !isZero )
1141  {
1142  if ( (isZero= gauss.reduce( v )))
1143  {
1144  STICKYPROT( "+" );
1145  p= gauss.getDependence();
1146  number gcd= p.gcd();
1147  if ( ! nIsOne( gcd ) )
1148  {
1149  p /= gcd;
1150  }
1151  nDelete( & gcd );
1152  int k;
1153  poly temp = NULL;
1154  poly result=NULL;
1155  for ( k= p.size(); k > 0; k-- )
1156  {
1157  number n = nCopy( p.getconstelem( k ) );
1158  if ( ! nIsZero( n ) )
1159  {
1160  if ( temp == NULL )
1161  {
1162  result= pOne();
1163  temp= result;
1164  }
1165  else
1166  {
1167  temp->next= pOne();
1168  pIter( temp );
1169  }
1170  pSetCoeff( temp, n );
1171  pSetExp( temp, i /*varpermutation[i]*/, k-1 );
1172  pSetm( temp );
1173  }
1174  }
1175  if ( ! nGreaterZero( pGetCoeff( result ) ) ) result= pNeg( result );
1176  (destIdeal->m)[i-1]= result;
1177  }
1178  else
1179  {
1180  STICKYPROT( "." );
1181  gauss.store();
1182  v= l.multiply( v, i /*varpermutation[i]*/ );
1183  }
1184  }
1185  }
1186  STICKYPROT( "\n" );
1187  omFreeSize( (ADDRESS)varpermutation, ((currRing->N)+1)*sizeof(int) );
1188  return destIdeal;
1189 }

◆ FindUnivariateWrapper()

BOOLEAN FindUnivariateWrapper ( ideal  source,
ideal &  destIdeal 
)

Definition at line 1236 of file fglmzero.cc.

1237 {
1238  BOOLEAN fglmok;
1239 
1240  idealFunctionals L( 100, (currRing->N) );
1241  fglmok = CalculateFunctionals( source, L );
1242  if ( fglmok == TRUE ) {
1243  destIdeal= FindUnivariatePolys( L );
1244  return TRUE;
1245  }
1246  else
1247  return FALSE;
1248 }

◆ GroebnerViaFunctionals()

static ideal GroebnerViaFunctionals ( const idealFunctionals l,
fglmVector  iv = fglmVector() 
)
static

Definition at line 1046 of file fglmzero.cc.

1054 {
1055  fglmDdata data( l.dimen() );
1056 
1057  // insert pOne() and update workinglist according to iv:
1058  fglmVector initv;
1059  if ( iv.isZero() ) {
1060  // STICKYPROT("initv is zero\n");
1061  initv = fglmVector( l.dimen(), 1 );
1062  }
1063  else {
1064  // STICKYPROT("initv is not zero\n");
1065  initv = iv;
1066  }
1067 
1068  poly one = pOne();
1069  data.updateCandidates( one, initv );
1070  number nOne = nInit( 1 );
1071  data.newBasisElem( one, initv, fglmVector( 1, 1 ), nOne );
1072  STICKYPROT( "." );
1073  while ( data.candidatesLeft() == TRUE ) {
1074  fglmDelem candidate = data.nextCandidate();
1075  if ( candidate.isBasisOrEdge() == TRUE ) {
1076  // Now we have the chance to find a new groebner polynomial
1077 
1078  // v is the vector-representation of candidate.monom
1079  // some elements of v are zeroed in data.gaussreduce(). Which
1080  // ones and how this was done is stored in p.
1081  // originalV containes the unchanged v, which is later inserted
1082  // into the working list (via data.updateCandidates().
1083  fglmVector v = l.multiply( candidate.v, candidate.var );
1084  fglmVector originalV = v;
1085  fglmVector p( data.getBasisSize()+1, data.getBasisSize()+1 );
1086  number pdenom = NULL;
1087  data.gaussreduce( v, p, pdenom );
1088  if ( v.isZero() ) {
1089  // Now v is linear dependend to the already found basis elements.
1090  // This means that v (rsp. candidate.monom) is the leading
1091  // monomial of the next groebner-basis polynomial.
1092  data.newGroebnerPoly( p, candidate.monom );
1093  nDelete( & pdenom );
1094  STICKYPROT( "+" );
1095  }
1096  else {
1097  // no linear dependence could be found, so v ( rsp. monom )
1098  // is a basis monomial. We store the zeroed version ( i.e. v
1099  // and not originalV ) as well as p, the denomiator and all
1100  // the other stuff.
1101  // erst updateCandidates, dann newBasisELem!!!
1102  data.updateCandidates( candidate.monom, originalV );
1103  data.newBasisElem( candidate.monom, v, p, pdenom );
1104  STICKYPROT( "." );
1105  }
1106  }
1107  else {
1108  STICKYPROT( "-" );
1109  candidate.cleanup();
1110  }
1111  } //. while data.candidatesLeft()
1112  STICKYPROT( "\n" );
1113  return ( data.buildIdeal() );
1114 }

◆ internalCalculateFunctionals()

void internalCalculateFunctionals ( const  ideal,
idealFunctionals l,
fglmSdata data 
)

Definition at line 609 of file fglmzero.cc.

611 {
612 
613  // insert pOne() into basis and update the workingList:
614  poly one = pOne();
615  data.newBasisElem( one );
616  data.updateCandidates();
617 
618  STICKYPROT(".");
619  while ( data.candidatesLeft() == TRUE ) {
620  fglmSelem candidate = data.nextCandidate();
621  if ( candidate.isBasisOrEdge() == TRUE ) {
622  int edge = data.getEdgeNumber( candidate.monom );
623  if ( edge != 0 )
624  {
625  // now candidate is an edge, i.e. we know its normalform:
626  // NF(p) = - ( tail(p)/LC(p) )
627  poly nf = data.getSpanPoly( edge );
628  pNorm( nf );
629  pLmDelete(&nf); //. deletes the leadingmonomial
630  nf= pNeg( nf );
631  fglmVector nfv = data.getVectorRep( nf );
632  l.insertCols( candidate.divisors, nfv );
633  data.newBorderElem( candidate.monom, nfv );
634  pDelete( &nf );
635  STICKYPROT( "+" );
636  }
637  else
638  {
639  int basis= data.newBasisElem( candidate.monom );
640  data.updateCandidates();
641  l.insertCols( candidate.divisors, basis );
642  STICKYPROT( "." );
643  }
644  }
645  else {
646  int var = 0;
647  fglmVector temp = data.getBorderDiv( candidate.monom, var );
648  fglmASSERT( var > 0, "this should never happen" );
649  fglmVector nfv = l.addCols( var, data.getBasisSize(), temp );
650  data.newBorderElem( candidate.monom, nfv );
651  l.insertCols( candidate.divisors, nfv );
652  STICKYPROT( "-" );
653  }
654  candidate.cleanup();
655  } //. while ( data.candidatesLeft() == TRUE )
656  l.endofConstruction();
657  STICKYPROT2( "\nvdim= %i\n", data.getBasisSize() );
658  return;
659 }
FALSE
#define FALSE
Definition: auxiliary.h:96
isZero
bool isZero(const CFArray &A)
checks if entries of A are zero
Definition: facSparseHensel.h:468
pNorm
void pNorm(poly p, const ring R=currRing)
Definition: polys.h:347
fglmVector::isZero
int isZero()
Definition: fglmvec.cc:294
fglmSelem::divisors
int * divisors
Definition: fglm.h:30
k
int k
Definition: cfEzgcd.cc:92
idDelete
#define idDelete(H)
delete an ideal
Definition: ideals.h:28
fglmDelem::monom
poly monom
Definition: fglm.h:49
rChangeCurrRing
void rChangeCurrRing(ring r)
Definition: polys.cc:15
result
return result
Definition: facAbsBiFact.cc:76
ADDRESS
void * ADDRESS
Definition: auxiliary.h:135
fglmSdata::newBorderElem
void newBorderElem(poly &m, fglmVector v)
Definition: fglmzero.cc:441
STICKYPROT2
#define STICKYPROT2(msg, arg)
Definition: fglmzero.cc:51
STICKYPROT
#define STICKYPROT(msg)
Definition: fglmzero.cc:49
pNeg
#define pNeg(p)
Definition: polys.h:186
pDelete
#define pDelete(p_ptr)
Definition: polys.h:175
fglmVector
Definition: fglmvec.h:17
fglmSdata::getVectorRep
fglmVector getVectorRep(const poly m)
Definition: fglmzero.cc:543
nf
Definition: gnumpfl.cc:25
nGreaterZero
#define nGreaterZero(n)
Definition: numbers.h:26
rVar
static short rVar(const ring r)
#define rVar(r) (r->N)
Definition: ring.h:586
TRUE
#define TRUE
Definition: auxiliary.h:100
i
int i
Definition: cfEzgcd.cc:125
nIsOne
#define nIsOne(n)
Definition: numbers.h:24
internalCalculateFunctionals
void internalCalculateFunctionals(const ideal, idealFunctionals &l, fglmSdata &data)
Definition: fglmzero.cc:609
omFreeSize
#define omFreeSize(addr, size)
Definition: omAllocDecl.h:258
BOOLEAN
int BOOLEAN
Definition: auxiliary.h:87
fglmDelem::v
fglmVector v
Definition: fglm.h:50
fglmDelem
Definition: fglm.h:46
fglmDdata
Definition: fglmzero.cc:758
pOne
#define pOne()
Definition: polys.h:299
fglmSdata::getSpanPoly
poly getSpanPoly(int number) const
Definition: fglmzero.cc:367
intvec
Definition: intvec.h:18
gaussReducer
Definition: fglmgauss.h:17
pIter
#define pIter(p)
Definition: monomials.h:34
fglmSdata::newBasisElem
int newBasisElem(poly &p)
Definition: fglmzero.cc:424
omAlloc
#define omAlloc(size)
Definition: omAllocDecl.h:208
FindUnivariatePolys
static ideal FindUnivariatePolys(const idealFunctionals &l)
Definition: fglmzero.cc:1118
fglmDelem::isBasisOrEdge
BOOLEAN isBasisOrEdge() const
Definition: fglm.h:56
fglmSdata::getEdgeNumber
int getEdgeNumber(const poly m) const
Definition: fglmzero.cc:529
fglmSdata::getBorderDiv
fglmVector getBorderDiv(const poly m, int &var) const
Definition: fglmzero.cc:578
pSetCoeff
#define pSetCoeff(p, n)
deletes old coeff before setting the new one
Definition: polys.h:30
fglmSelem::cleanup
void cleanup()
Definition: fglmzero.cc:330
fglmDelem::var
int var
Definition: fglm.h:52
nIsZero
#define nIsZero(n)
Definition: numbers.h:18
fglmASSERT
#define fglmASSERT(ignore1, ignore2)
Definition: fglmzero.cc:52
fglmDelem::cleanup
void cleanup()
Definition: fglmzero.cc:713
idInit
ideal idInit(int idsize, int rank)
initialise an ideal / module
Definition: simpleideals.cc:34
fglmSdata::getBasisSize
int getBasisSize() const
Definition: fglmzero.cc:360
fglmSelem::monom
poly monom
Definition: fglm.h:31
NULL
#define NULL
Definition: omList.c:11
pLmDelete
#define pLmDelete(p)
assume p != NULL, deletes Lm(p)->coef and Lm(p)
Definition: polys.h:74
pSetm
#define pSetm(p)
Definition: polys.h:256
idealFunctionals
Definition: fglmzero.cc:74
l
int l
Definition: cfEzgcd.cc:93
nDelete
#define nDelete(n)
Definition: numbers.h:15
gcd
int gcd(int a, int b)
Definition: walkSupport.cc:836
fglmSdata::updateCandidates
void updateCandidates()
Definition: fglmzero.cc:479
pSetExp
#define pSetExp(p, i, v)
Definition: polys.h:41
GroebnerViaFunctionals
static ideal GroebnerViaFunctionals(const idealFunctionals &l, fglmVector iv=fglmVector())
Definition: fglmzero.cc:1046
v
const Variable & v
< [in] a sqrfree bivariate poly
Definition: facBivar.h:37
fglmSelem::isBasisOrEdge
BOOLEAN isBasisOrEdge() const
Definition: fglm.h:36
p
int p
Definition: cfModGcd.cc:4019
CalculateFunctionals
static BOOLEAN CalculateFunctionals(const ideal &theIdeal, idealFunctionals &l)
Definition: fglmzero.cc:673
currRing
VAR ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
Definition: polys.cc:13
fglmSdata::nextCandidate
fglmSelem nextCandidate()
Definition: fglmzero.cc:467
nInit
#define nInit(i)
Definition: numbers.h:23
fglmSdata::candidatesLeft
BOOLEAN candidatesLeft() const
Definition: fglmzero.cc:363
fglmSelem
Definition: fglm.h:27
pGetCoeff
static number & pGetCoeff(poly p)
return an alias to the leading coefficient of p assumes that p != NULL NOTE: not copy
Definition: monomials.h:41
fglmSdata
Definition: fglmzero.cc:336
nCopy
#define nCopy(n)
Definition: numbers.h:14
idSort
static intvec * idSort(ideal id, BOOLEAN nolex=TRUE)
Definition: ideals.h:185
idMaxIdeal
#define idMaxIdeal(D)
initialise the maximal ideal (at 0)
Definition: ideals.h:32