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// Copyright (C) 1996 The New York Group Theory Cooperative
// See magnus/doc/COPYRIGHT for the full notice.
//
// Contents: Definition of class SquareMatrix.
//
// Principal Author: Alexey Myasnikov
//
// Status: In development
//
// Usage:
//
// Revision History:
//
//
#ifndef _MATRIX_COMPUTATIONS_H_
#define _MATRIX_COMPUTATIONS_H_
#include "GaussTransformation.h"
//------------------------------------------------------------------------//
//------------------------- MatrixComputations ---------------------------//
//------------------------------------------------------------------------//
template <class R> class MatrixComputations {
public:
/////////////////////////////////////////////////////////////////////////
// //
// Constructors: //
// //
/////////////////////////////////////////////////////////////////////////
MatrixComputations( const Matrix<R>& matrix) :
isInvertible(dontknow),
inverseMatrix(NULL)
{
if (matrix.height() != matrix.width())
error ("Matrix is not quadratic");
theMatrix = matrix;
detKnown = false;
}
~MatrixComputations()
{
if (inverseMatrix)
delete inverseMatrix;
}
/////////////////////////////////////////////////////////////////////////
// //
// Accessors: //
// //
/////////////////////////////////////////////////////////////////////////
const Matrix<R>& matrix() const { return theMatrix;}
int size() const { return theMatrix.height();}
// Returns the size of SquareMatrix
bool isIdentity() const;
// True if matrix is identical
R getDeterminant();
// Returns determinant if exists, if not then computes it.
bool detKnow() const { return detKnown;}
// true if determinant was computed
Trichotomy isInvertibleMatrix() const { return isInvertible;}
// Yes if matrix invertible
void invertMatrix();
// Makes inverse matrix if it exists
const Matrix<R>& getInverseMatrix() const {
#if SAFETY > 0
if ( isInvertible != yes )
error("Trichotomy SquareMatrix::getInverseMatrix( ) : "
"tried to get result before the computation or this matrix is not Invertible.");
#endif
return *inverseMatrix;
}
R det() const { return determinant;}
// This function nedet only for constant acces to determinant
/////////////////////////////////////////////////////////////////////////
// //
// IPC tools: //
// //
/////////////////////////////////////////////////////////////////////////
friend ostream& operator < ( ostream& ostr, const MatrixComputations& DA )
{
DA.write(ostr);
return ostr;
}
friend istream& operator > ( istream& istr, MatrixComputations& DA)
{
DA.read(istr);
return istr;
}
private:
void write( ostream& ostr ) const{
ostr < theMatrix;
ostr < detKnown;
ostr < isInvertible;
ostr < determinant;
if (isInvertible == yes) ostr < *inverseMatrix;
};
void read( istream& istr ){
istr > theMatrix;
istr > detKnown;
istr > isInvertible;
istr > determinant;
delete inverseMatrix;
if (isInvertible == yes){
Matrix<R> tmpMatrix;
istr > tmpMatrix;
inverseMatrix = new Matrix<R>(tmpMatrix);
}
}
void abolishCoefficients(Matrix<R>& matrix );
bool detKnown;
// True if determinant was computed
Trichotomy isInvertible;
// Yes if inverse matrix was built, no if matrix couldn't be inverted,
// otherwize - dontknow
R determinant;
// determinant
Matrix<R>* inverseMatrix;
// Holds inverse matrix, if it was built
Matrix<R> theMatrix;
// Holds the matrix.
/////////////////////////////////////////////////////////////////////////
// //
// Debugging stuff: //
// //
/////////////////////////////////////////////////////////////////////////
#ifdef DEBUG
//friend int main(...);
#endif
};
#endif
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