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// Copyright (C) 1995 The New York Group Theory Cooperative
// See magnus/doc/COPYRIGHT for the full notice.
// Contents: informal test of MSCGConjugacyProblem class
//
// Principal Author: Dmitry Bormotov
//
// Status: in progress
//
// Revision History:
//
#include "iostream.h"
#include "MSCGConjugacyProblem.h"
#include "NormalRandomWord.h"
ostream& operator << (ostream& o, Trichotomy t)
{
if ( t == YES ) o << " YES ";
else if ( t == NO ) o << " NO ";
else o << " DONTKNOW ";
return o;
}
Word initWord(const Generator* p, int len) {
VectorOf<Generator> v(len);
for( int i = 0; i < len; i ++ ) v[i] = *p++;
return Word(v);
}
void singleTest() {
FPGroup F;
cout << "Enter a MSC represenatation, i.e. <a,b,c| a^7, b = c> : " << endl;
Chars errMsg = cin >> F;
if( errMsg.length() > 0 ) {
cout << errMsg << endl;
exit(-1);
}
cout << endl;
MSCGroup G(F);
cout << "You typed the MSC group: " << F << endl << endl;
bool quit = false;
while( !quit ) {
cout << "Type a word: ";
Word w = F.readWord(cin, errMsg);
if( errMsg.length() > 0 ) {
cout << errMsg << endl;
exit(0);
}
cout << endl << "You typed: ";
F.printWord(cout, w);
cout << endl << "type a second word: ";
Word u = F.readWord(cin, errMsg);
if( errMsg.length() > 0 ) {
cout << errMsg << endl;
exit(0);
}
cout << endl << "you typed: ";
F.printWord(cout, u);
MSCGConjugacyProblem CP(G,w,u);
cout << endl << "conjugacyProblem says ... ";
CP.startComputation();
while( !CP.continueComputation() ) ;
Trichotomy answer = CP.answer();
cout<< answer << endl;
if ( answer == YES ) {
cout << "The conjugator: ";
Word conjugator = CP.conjugator();
F.printWord(cout, conjugator);
cout << endl;
cout << "Checking: ";
bool bChecking = G.areEqual(w.conjugateBy(conjugator),u);
if ( bChecking )
cout << "success";
else
cout << "error";
cout << endl << endl;
}
char reply;
cout << "Repeat (y/n)? ";
do {
cin >> reply;
reply = tolower(reply);
} while( reply != 'y' && reply != 'n' );
if( reply == 'n' ) quit = true;
cout << endl;
}
}
void error( const Chars& msg, const FPGroup& G, const Word& w, const Word& c,
const Word& u, const Word& conjugator )
{
cout << msg << ": w = ";
G.printWord( cout, w );
cout << ", c = ";
G.printWord( cout, c );
cout << ", u = ";
G.printWord( cout, u );
cout << ", found conjugator = ";
G.printWord( cout, conjugator );
cout << endl;
}
void randomTests( )
{
FPGroup F;
cout << "Enter a MSC represenatation, i.e. <a,b,c| a^7, b = c> : " << endl;
Chars errMsg = cin >> F;
if( errMsg.length() > 0 ) {
cout << errMsg << endl;
exit(-1);
}
cout << endl;
MSCGroup G(F);
cout << "You typed the MSC group: " << F << endl << endl;
int meanLen;
cout << "Type average length of test words:";
cin >> meanLen;
cout << meanLen << endl;
int numberOfTests;
cout << "Type number of tests: ";
cin >> numberOfTests;
cout << numberOfTests << endl;
NormalRandomWord rw( F.numberOfGenerators(),
meanLen,
meanLen/2, // lengthStdDev
2345, // lengthSeed
1234 // generatorSeed
);
int failed = 0;
int passed = 0;
Word w,c,u;
for( int test = 0; test < numberOfTests; ++test ) {
w = rw.word();
int probe = 0;
do {
c = rw.word();
u = w.conjugateBy(c);
u = u.cyclicallyReduce();
++probe;
} while( w == u && probe < 1000 );
if( probe < 1000 ) {
MSCGConjugacyProblem CP(G,w,u);
CP.startComputation();
while( !CP.continueComputation() ) ;
Trichotomy answer = CP.answer();
if ( answer == yes ) {
Word conjugator = CP.conjugator();
bool bChecking = G.areEqual(w.conjugateBy(conjugator),u);
if ( bChecking )
++passed;
else {
error("bad conj", F, w,c,u,conjugator);
++failed;
}
}
else if( answer == no ) {
error("negative answer", F, w,c,u, Word() );
++failed;
}
else {
error("no answer", F, w,c,u, Word() );
++failed;
}
}
}
cout << endl << endl
<< "+ " << passed << " tests passed." << endl
<< "- " << failed << " tests failed." << endl;
}
void main( )
{
randomTests();
// singleTest();
}
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