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// Copyright (C) 1994 The New York Group Theory Cooperative
// See magnus/doc/COPYRIGHT for the full notice.
// Contents: Test of KBmagPackage.
// Should produce output identical to test-KBmagPackage.mastertestout,
// given test-KBmagPackage.data as input.
//
// Principal Author: Sarah Rees
//
// Status: in progress
//
// Revision History:
//
#include "KBmagPackage.h"
#include "FPGroup.h"
#include "Set.h"
#include "Word.h"
#include "DiffMachine.h"
#include "GenMult.h"
#include "WordOrder.h"
main()
{
FPGroup G;
VectorOf<int> order;
cin >> G;
char ch;
cin >> ch;
if (ch != '[') { cerr << "Unexpected input, aborted"<<endl; exit(1);}
do {
int i;
cin >> i;
order.append(i);
cin>> ch;
if (ch==']') break;
else if (ch!=','){ cerr << "Unexpected input, aborted"<<endl; exit(1);}
} while (ch==',');
WordOrder word_order("ShortLex",order);
KBmagPackage kbmag(G.namesOfGenerators(),G.getRelators(),word_order,20);
if ( !kbmag.sanityCheck() ) {
error("kbmag failed sanity check.\n");
}
if (kbmag.autgroup()==yes){
cout << "Group "<< G << " is proved shortlex automatic"<<endl;
GroupDFSA WA = kbmag.wordAcceptor();
WA.setName("Word_acceptor");
WA.printOn();
GenMult GM = kbmag.generalMultiplier();
GM.setName("General_multiplier");
GM.printOn();
DiffMachine D1 = kbmag.differenceMachine(1);
D1.setName("1stDiffMachine");
D1.printOn();
DiffMachine D2 = kbmag.differenceMachine(2);
D2.setName("2ndDiffMachine");
D2.printOn();
}
else
cout << "Group "<< G << " is not proved shortlex automatic"<<endl;
cout << endl;
FPGroup G2;
cin >> G2;
KBmagPackage kbmag2(G2.namesOfGenerators(),G2.getRelators());
if ( !kbmag2.sanityCheck() ) {
error("kbmag2 failed sanity check.\n");
}
if (kbmag2.kbprog()==yes && kbmag2.gpmakefsa()==yes && kbmag2.gpaxioms()==yes){
cout << "Group "<< G2 << " is proved shortlex automatic"<<endl;
GroupDFSA WA = kbmag2.wordAcceptor();
WA.setName("Word_acceptor");
WA.printOn();
GenMult GM = kbmag2.generalMultiplier();
GM.setName("General_multiplier");
GM.printOn();
DiffMachine D1 = kbmag2.differenceMachine(1);
D1.setName("1stDiffMachine");
D1.printOn();
DiffMachine D2 = kbmag2.differenceMachine(2);
D2.setName("2ndDiffMachine");
D2.printOn();
}
else
cout << "Group "<< G2 << " is not proved shortlex automatic"<<endl;
cout << endl;
FPGroup G3;
cin >> G3;
KBmagPackage kbmag3(G3.namesOfGenerators(),G3.getRelators());
if ( !kbmag3.sanityCheck() ) {
error("kbmag3 failed sanity check.\n");
}
if (kbmag3.kbprog()>0){
Bool abort=NO;
int loop=0;
do {
loop++;
cout << "Trying to built automata."<< endl;
if (loop>1) cout << "Pass no. " << loop <<" though loop."<< endl;
if (kbmag3.gpwa()!=yes || kbmag3.gpgenmult()!=yes) abort=YES;
if (abort){ cout << "Failed, giving up!"<< endl; break;}
GroupDFSA WA = kbmag3.wordAcceptor();
WA.setName("Word_acceptor");
WA.printOn();
GenMult GM = kbmag3.generalMultiplier();
GM.setName("GeneralMultiplier");
GM.printOn();
DiffMachine D1 = kbmag3.differenceMachine(1);
D1.setName("1stDiffMachine");
D1.printOn();
DiffMachineRep D2 = kbmag3.differenceMachineRep(2);
D2.setName("2ndDiffMachine");
D2.printOn();
} while (kbmag3.gpcheckmult()==no);
if (abort==NO && kbmag3.gpaxioms()==yes)
cout << "Group "<< G3 << " is proved shortlex automatic"<<endl;
else
cout << "Group "<< G3 << " is not proved shortlex automatic"<<endl;
}
GroupDFSARep WA2 = kbmag3.wordAcceptorRep();
DiffMachineRep D3 = kbmag3.differenceMachineRep(2);
KBmagPackage kbmag4(G3.namesOfGenerators(),G3.getRelators());
kbmag4.setWordAcceptor(WA2);
kbmag4.setDifferenceMachine(D3,2);
kbmag4.gpgenmult();
DFSA F;
F.readFrom();
kbmag4.minimize(F);
F.printOn();
GroupDFSARep F2;
F2.readFrom();
kbmag4.minimize(F2);
F2.printOn();
GroupDFSA M1;
M1.readFrom();
GroupDFSA M2;
M2.readFrom();
GroupDFSA M3;
kbmag4.gpcomp(M1,M2,M3);
M3.printOn();
GroupDFSARep N1;
N1.readFrom();
GroupDFSARep N2;
N2.readFrom();
GroupDFSARep N3;
kbmag4.gpcomp(N1,N2,N3);
N3.printOn();
}
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