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// Copyright (C) 1995 The New York Group Theory Cooperative
// See magnus/doc/COPYRIGHT for the full notice.
//
// Contents: Declaration of class GIC (Group Information Center)
//
// Principal Author: Roger Needham, Dmitry Bormotov
//
// Status: this can never be complete
//
// Usage:
//
// For a given piece of info, there are up to four kinds of names needed:
// 1) The data member
// 2) The member function through which it is reported
// 3) The member function via which its existence is queried
// 4) The member function via which it is accessed
//
// In an attempt at coherence, we try to use these conventions for a
// Trichotomy (resp. bool) <I>
// e.g., I == abelian, (resp. I == solvedWordProblem):
//
// 1) <I>
// 2) putIs<I> resp. putHave<I>
// 3) is<I> resp. have<I>
//
// and in other cases (e.g., I == confluentKBMachine):
//
// 1) <I>
// 2) putHave<I>
// 3) have<I>
// 4) get<I>
//
//
// Next Implementation Steps:
//
// * Better exception instrumentation, e.g., conflicting reports of order
//
// * It is not clear how much the explanations will need to be accessed,
// since they are sent to the FE when the explained info is reported.
// Put accessors in as needed.
//
//
// Revision History:
//
#ifndef _GIC_H_
#define _GIC_H_
//#include <Integer.h>
//#include <DArray.h>
//#include "Associations.h"
//#include "Trichotomy.h"
//#include "Chars.h"
#include "FEData.h"
#include "BaseProperties.h"
#include "InformationCenter.h"
#include "OID.h"
// Types stored by the GIC:
//#include "KBMachine.h"
//#include "Map.h"
//#include "DFSA.h"
//#include "DiffMachine.h"
//#include "AbelianGroup.h"
//#include "FreeByCyclic.h"
//#include "MSCGroup.h"
//#include "NilpotentGroup.h"
//#include "SubgroupGraph.h"
//#include "CosetEnumerator.h"
//#include "APwithOneRelator.h"
//---------------------------------------------------------------------------//
//--------------------- GIC PROPERTIES --------------------------------------//
//---------------------------------------------------------------------------//
class GroupOrderProperty : public IntegerProperty {
public:
GroupOrderProperty(const Integer& data, const Chars& descr)
: IntegerProperty(data, descr) {}
PropertyType actualType () const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "GroupOrder"; }
protected:
GenericProperty* clone() const { return new GroupOrderProperty(*this); }
private:
static const PropertyType theTypeID;
};
/*
class GroupOrderUpperBoundProperty : public IntegerProperty {
public:
GroupOrderUpperBoundProperty(const Integer& data, const Chars& descr)
: IntegerProperty(data, descr) {}
PropertyType actualType () const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "GroupOrderUpperBound"; }
private:
static const PropertyType theTypeID;
};
*/
class SolvedWordProblemProperty : public NoDataProperty {
public:
SolvedWordProblemProperty(const Chars& descr) : NoDataProperty(descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "SolvedWordProblem"; }
protected:
GenericProperty* clone() const {return new SolvedWordProblemProperty(*this);}
private:
static const PropertyType theTypeID;
};
class FastWordProblemProperty : public NoDataProperty {
public:
FastWordProblemProperty(const Chars& descr) : NoDataProperty(descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "FastWordProblem"; }
protected:
GenericProperty* clone() const { return new FastWordProblemProperty(*this); }
private:
static const PropertyType theTypeID;
};
class CompleteCayleyGraphProperty : public SubgroupGraphProperty {
public:
CompleteCayleyGraphProperty(const SubgroupGraph& graph)
: SubgroupGraphProperty(graph) {}
PropertyType actualType () const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "CompleteCayleyGraph"; }
protected:
GenericProperty* clone() const {
return new CompleteCayleyGraphProperty(*this);
}
private:
static const PropertyType theTypeID;
};
class ConfluentKBMachineProperty : public KBMachineProperty {
public:
ConfluentKBMachineProperty(const KBMachine& data) : KBMachineProperty(data){}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "ConfluentKBMachine"; }
protected:
GenericProperty* clone() const { return new ConfluentKBMachineProperty(*this); }
private:
static const PropertyType theTypeID;
};
class IsAutomaticProperty : public NoDataProperty {
public:
IsAutomaticProperty(const Chars& descr) : NoDataProperty(descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsAutomatic"; }
protected:
GenericProperty* clone() const { return new IsAutomaticProperty(*this); }
private:
static const PropertyType theTypeID;
};
class Automatic_GroupDFSAProperty : public GroupDFSAProperty {
public:
Automatic_GroupDFSAProperty(const GroupDFSA& data)
: GroupDFSAProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "Automatic_GroupDFSA"; }
protected:
GenericProperty* clone() const { return new Automatic_GroupDFSAProperty(*this); }
private:
static const PropertyType theTypeID;
};
class Automatic_DiffMachineProperty : public DiffMachineProperty {
public:
Automatic_DiffMachineProperty(const DiffMachine& data)
: DiffMachineProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "Automatic_DiffMachine"; }
protected:
GenericProperty* clone() const { return new Automatic_DiffMachineProperty(*this); }
private:
static const PropertyType theTypeID;
};
class OneRelatorProperty : public WordProperty {
public:
OneRelatorProperty(const Word& data) : WordProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "OneRelator"; }
protected:
GenericProperty* clone() const { return new OneRelatorProperty(*this); }
private:
static const PropertyType theTypeID;
};
class OneRelatorWithTorsionProperty : public NoDataProperty {
public:
OneRelatorWithTorsionProperty() : NoDataProperty() {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "OneRelatorWithTorsion"; }
protected:
GenericProperty* clone() const { return new OneRelatorWithTorsionProperty(*this); }
private:
static const PropertyType theTypeID;
};
class AbelianPresentationProperty : public AbelianGroupProperty {
public:
AbelianPresentationProperty(const AbelianGroup& data,
const Chars descr = Chars() )
: AbelianGroupProperty(data,descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "AbelianPresentation"; }
protected:
GenericProperty* clone() const { return new AbelianPresentationProperty(*this); }
private:
static const PropertyType theTypeID;
};
/*
class CyclicDecompositionProperty : public AbelianGroupProperty {
public:
CyclicDecompositionProperty(const AbelianGroup& data)
: AbelianGroupProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "CyclicDecomposition"; }
private:
static const PropertyType theTypeID;
};
class PrimaryDecompositionProperty : public AbelianGroupProperty {
public:
PrimaryDecompositionProperty(const AbelianGroup& data)
: AbelianGroupProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "PrimaryDecomposition"; }
private:
static const PropertyType theTypeID;
};
class CanonicalSmithDecompositionProperty : public AbelianGroupProperty {
public:
CanonicalSmithDecompositionProperty(const AbelianGroup& data)
: AbelianGroupProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "CanonicalSmithDecomposition"; }
private:
static const PropertyType theTypeID;
};
*/
class IsAbelianProperty : public NoDataProperty {
public:
IsAbelianProperty() : NoDataProperty() {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsAbelian"; }
protected:
GenericProperty* clone() const { return new IsAbelianProperty(*this); }
private:
static const PropertyType theTypeID;
};
class IsFreeProperty : public NoDataProperty {
public:
IsFreeProperty(const Chars& descr) : NoDataProperty(descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsFree"; }
protected:
GenericProperty* clone() const { return new IsFreeProperty(*this); }
private:
static const PropertyType theTypeID;
};
class IsFiniteProperty : public NoDataProperty {
public:
IsFiniteProperty(const Chars& descr) : NoDataProperty(descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsFinite"; }
protected:
GenericProperty* clone() const { return new IsFiniteProperty(*this); }
private:
static const PropertyType theTypeID;
};
class NilpotencyClassProperty : public IntProperty {
public:
NilpotencyClassProperty(const int& data) : IntProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "NilpotencyClass"; }
protected:
GenericProperty* clone() const { return new NilpotencyClassProperty(*this); }
private:
static const PropertyType theTypeID;
};
class NilpotentQuotientsProperty : public NilpGroupAssocProperty {
public:
NilpotentQuotientsProperty(const AssociationsOf<int,NilpotentGroup*>& data)
: NilpGroupAssocProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "NilpotentQuotients"; }
protected:
GenericProperty* clone() const { return new NilpotentQuotientsProperty(*this); }
private:
static const PropertyType theTypeID;
};
class IsFreeNilpotentProperty : public NoDataProperty {
public:
IsFreeNilpotentProperty() : NoDataProperty() {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsFreeNilpotent"; }
protected:
GenericProperty* clone() const { return new IsFreeNilpotentProperty(*this); }
private:
static const PropertyType theTypeID;
};
class ActualNilpotencyClassProperty : public IntProperty {
public:
ActualNilpotencyClassProperty(const int& data) : IntProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "ActualNilpotentClass"; }
protected:
GenericProperty* clone() const { return new ActualNilpotencyClassProperty(*this); }
private:
static const PropertyType theTypeID;
};
class IsFreeByCyclicProperty : public FreeByCyclicProperty {
public:
IsFreeByCyclicProperty(const FreeByCyclic& data):FreeByCyclicProperty(data){}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsFreeByCyclic"; }
protected:
GenericProperty* clone() const { return new IsFreeByCyclicProperty(*this); }
private:
static const PropertyType theTypeID;
};
/*
class IsFreeByCyclic_MapProperty : public MapProperty {
public:
IsFreeByCyclic_MapProperty(const Map& data) : MapProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "IsFreeByCyclic_Map"; }
private:
static const PropertyType theTypeID;
};
*/
class MSCProperty : public MSCGroupProperty {
public:
MSCProperty(const FPGroup& G, int lambda) : MSCGroupProperty(G,lambda) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "MSC"; }
protected:
GenericProperty* clone() const { return new MSCProperty(*this); }
private:
static const PropertyType theTypeID;
};
class MSCLambdaProperty : public IntProperty {
public:
MSCLambdaProperty(const int& data, const Chars& descr = Chars())
: IntProperty(data,descr) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "MSCLambda"; }
protected:
GenericProperty* clone() const { return new MSCLambdaProperty(*this); }
private:
static const PropertyType theTypeID;
};
class APofFreeProperty : public AmalgProductOfFreeGroupsProperty {
public:
APofFreeProperty(const AmalgProductOfFreeGroups& data)
: AmalgProductOfFreeGroupsProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "APofFree"; }
protected:
GenericProperty* clone() const { return new APofFreeProperty(*this); }
private:
static const PropertyType theTypeID;
};
class HNNofFreeProperty : public HNNExtOfFreeGroupProperty {
public:
HNNofFreeProperty(const HNNExtOfFreeGroup& data)
: HNNExtOfFreeGroupProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "HNNofFree"; }
protected:
GenericProperty* clone() const { return new HNNofFreeProperty(*this); }
private:
static const PropertyType theTypeID;
};
class SchreierTransversalProperty : public PermutationRepresentationProperty {
public:
SchreierTransversalProperty(const PermutationRepresentation& data)
: PermutationRepresentationProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "SchreierTransversal"; }
protected:
GenericProperty* clone() const { return new SchreierTransversalProperty(*this); }
private:
static const PropertyType theTypeID;
};
class WordDecomposerProperty : public DecomposeInSubgroupOfFPGroupProperty {
public:
WordDecomposerProperty(const DecomposeInSubgroupOfFPGroup& data)
: DecomposeInSubgroupOfFPGroupProperty(data) {}
PropertyType actualType() const { return type(); }
static PropertyType type() { return theTypeID; }
Chars propertyName() const { return "WordDecomposer"; }
protected:
GenericProperty* clone() const { return new WordDecomposerProperty(*this); }
private:
static const PropertyType theTypeID;
};
// By its nature as a `knowledge representer', which no one knows how to
// do, this has evolved in odd and sometimes conflicting ways as
// requirements have become apparent. It will need combing and
// rethinking periodically.
//---------------------------------------------------------------------------//
//-------------------------------- GIC --------------------------------------//
//---------------------------------------------------------------------------//
class GIC : public InformationCenter, protected FEData
{
public:
// ----------------- Flags for solutions of word problem ------------------ //
enum AlgorithmID { NONE, AB_INV, NORM_CLOSURE, REWR_SYSTEM,
AUT_STRUCTURE, GENETIC, FREE };
/////////////////////////////////////////////////////////////////////////
// //
// Constructors: //
// //
/////////////////////////////////////////////////////////////////////////
GIC(OID group_oid);
~GIC( );
/////////////////////////////////////////////////////////////////////////
// //
// Reporting Information: //
// //
/////////////////////////////////////////////////////////////////////////
void putHaveOrder( Integer the_order, Chars explanation = "",
bool showExplanation = true );
//void putHaveOrderUpperBound(Integer the_bound, Chars explanation);
void putHaveSolvedWordProblem( Chars explanation,
bool bShowExplanation = true );
void putHaveFastWordProblem( Chars explanation,
bool bShowExplanation = true );
void putHaveCompleteCayleyGraph(SubgroupGraph CG);
void putHaveConfluentKBMachine(KBMachine kbm);
void putIsAutomatic( Trichotomy IsAutomatic );
void putHaveAutomatic(GroupDFSA wa, DiffMachine dm);
void putIsOneRelator(const Word& relator);
void putIsOneRelatorWithTorsion(const Word& relator);
void putHaveCyclicDecomposition( const AbelianGroup& );
void putHavePrimaryDecomposition(const AbelianGroup& );
void putHaveCanonicalSmithPresentation( const AbelianGroup& );
void putIsAbelian( );
void putIsFree( bool IsFree = true, Chars explanation = "" );
void putIsFinite( bool IsFinite = true, Chars explanation = "",
bool showExplanation = true );
void putHaveNilpotentQuotInited(const NilpotentGroup& theQuot, int theClass);
void putHaveNilpotentGroupInited(const NilpotentGroup& theGroup,
Chars filename);
void putIsFreeNilpotent(const FreeGroup& F, int theClass);
void putIsNilpotent(int theClass);
void putIsFreeByCyclic(const FreeGroup& F, const Map& aut);
void putHaveMSC(FPGroup G, int lambda);
void putHaveMSCLambda( int lambda );
void putHaveAPOfFree( const AmalgProductOfFreeGroups& );
void putHaveHNNofFree( const class HNNExtOfFreeGroup& );
void putHaveSchreierTransvl(const PermutationRepresentation&);
void putHaveWordDecomposer( const class DecomposeInSubgroupOfFPGroup& );
/////////////////////////////////////////////////////////////////////////
// //
// Reporting Secondary Information: //
// //
/////////////////////////////////////////////////////////////////////////
void postSecondaryLogMessage(Chars message);
// This may not be such a good place for this, but we at least have
// a central location for reporting secondary chatter about what, e.g.,
// a computation manager is doing to the log of the group.
/////////////////////////////////////////////////////////////////////////
// //
// Accessing Information: //
// //
/////////////////////////////////////////////////////////////////////////
bool haveOrder( ) const;
const Integer& getOrder( ) const;
const Chars getOrderExplanation( ) const;
const Chars getOrderMessage( ) const;
//@dp: const Integer& getOrderUpperBound( ) const;
//@dp: const Integer& getOrderLowerBound( ) const;
bool haveSolvedWordProblem( ) const;
bool haveFastWordProblem( ) const;
bool haveCompleteCayleyGraph( ) const;
SubgroupGraph getCompleteCayleyGraph( ) const;
bool haveConfluentKBMachine( ) const;
const KBMachine& getConfluentKBMachine( ) const;
Trichotomy isAutomatic( ) const;
bool haveAutomatic( ) const;
const Chars getAutomaticMessage( ) const;
const GroupDFSA& getWordAcceptor( ) const;
const DiffMachine& getDiffMachine( ) const;
bool isOneRelatorWithTorsion( ) const;
bool isOneRelator( ) const;
Word getOneRelator( ) const;
// When the group is one relator (but not necessarily the given
// presentation), this returns the relator.
bool haveCyclicDecomposition( ) const;
bool havePrimaryDecomposition( ) const;
const AbelianGroup& getCyclicDecomposition( ) const;
const Chars getCyclicDecompositionMessage( ) const;
Trichotomy isAbelian( ) const;
Trichotomy isFree( ) const;
Trichotomy isFinite( ) const;
const Chars getFiniteExplanation( ) const;
const Chars getFiniteMessage( ) const;
bool haveNilpotentQuotInited (int theClass) const;
bool haveNilpotentGroupInited( ) const;
//@dp: bool haveLCSQuotients() const;
const NilpotentGroup& getNilpotentQuotInited (int theClass) const;
const NilpotentGroup& getNilpotentGroupInited( ) const;
const Chars& getBasisFileName() const { return BCfileName; }
Trichotomy isFreeNilpotent( ) const;
Trichotomy isNilpotent( ) const;
int getNilpotentcyClass( ) const;
void putActualNilpotencyClass(int c );
bool haveActualNilpotencyClass( ) const;
int getActualNilpotencyClass ( ) const;
bool isFreeByCyclic( ) const;
const FreeByCyclic& getFreeByCyclic( ) const;
bool haveMSC( ) const;
const MSCGroup& getMSC( ) const;
bool haveMSCLambda( ) const;
int getMSCLambda( ) const;
Chars getMSCMessage() const;
bool haveAPOfFree( ) const;
const AmalgProductOfFreeGroups& getAPOfFree( ) const;
bool haveHNNofFree( ) const;
const class HNNExtOfFreeGroup& getHNNofFree() const;
bool haveSchreierTransvl() const;
const PermutationRepresentation& getSchreierTransvl() const;
bool haveWordDecomposer( ) const;
const class DecomposeInSubgroupOfFPGroup& getWordDecomposer( ) const;
private:
GIC(const GIC&); // Disable copying
AssociationsOf<int,NilpotentGroup*>& getNilpotentQuotients() const;
/////////////////////////////////////////////////////////////////////////
// //
// Data Members: //
// //
/////////////////////////////////////////////////////////////////////////
OID groupOID;
// Need this for composing messages about what has been found.
// Trichotomy abelian;
// Trichotomy nilpotent;
// Trichotomy freeNilpotent;
// Trichotomy free;
// Chars freeExplanation;
// Trichotomy finite;
// Chars finiteExplanation;
// Chars finiteMessage;
// Integer order;
// Chars orderExplanation;
// Chars orderMessage;
// Integer orderUpperBound;
// Chars explainOrderUpperBound;
// Integer orderLowerBound;
// bool solvedWordProblem;
// bool fastWordProblem;
// Chars explainSolvedWordProblem;
// SubgroupGraph* theCayleyGraph;
// // Non-Null only when the group is finite, and we have built a
// // complete Cayley graph.
// bool KBMachineIsConfluent;
// KBMachine confluentKBMachine;
// // By default, machine accepting empty set
// Trichotomy IsAutomatic;
// Chars automaticMessage;
// GroupDFSA wordAcceptor;
// DiffMachine diffMachine;
// bool ORWithTorsion, OR;
// Word theOneRelator;
// // Is the relator iff the group is one relator.
// AbelianGroup* theAbelianGroup;
// // We may not have this yet. It is the structure of the group's
// // abelianization, which is the group itself when it is abelian.
// Chars theCyclicDecompositionMessage;
// FreeByCyclic* theFreeByCyclic;
// MSCGroup* theMSCGroup;
// // We may not have this yet. It is the MSC presentation in the
// // generators given by the end user.
// int MSCLambda;
// Chars MSCMessage;
// int nilpotencyClass;
// Stores the class of nilpotent group.
// int actualNilpotencyClass;
// Computed class of nilpotent group.
//AssociationsOf<int, NilpotentGroup*> theNilpotentQuotients;
// AmalgProductOfFreeGroups* theAPOfFree;
// class HNNExtOfFreeGroup* theHNNofFree;
Chars BCfileName;
// PermutationRepresentation* permutationRepresentation;
// class DecomposeInSubgroupOfFPGroup *theWordDecomposer;
};
#endif
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