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// file: bigrational_matrix.h
// update: 09/25/02
#ifndef _BIGRATIONAL_MATRIX_H
#define _BIGRATIONAL_MATRIX_H
#include <cassert>
#include <cstdlib>
#include <iostream>
#include "bigrational.h"
using namespace std;
class bigrational_matrix
{
private:
unsigned long num_row;
unsigned long num_col;
bigrational* rep;
// arithmetic
bigrational_matrix add(const bigrational_matrix&) const;
bigrational_matrix sub(const bigrational_matrix&) const;
bigrational_matrix mul(const bigrational_matrix&) const;
bigrational_matrix neg() const;
// bigrational_matrix scalar_mul(const bigrational&) const;
// comparison
int cmp(const bigrational_matrix&) const;
// linear algebra
unsigned long rank() const;
// square matrix
bigrational det() const;
public:
// constructor, assignment and destructor
bigrational_matrix(const unsigned long = 1, const unsigned long = 1);
bigrational_matrix(const unsigned long, const unsigned long,
const bigrational*);
// bigrational_matrix(const bigint_matrix&);
bigrational_matrix(const bigrational_matrix&);
bigrational_matrix& operator =(const bigrational_matrix&);
~bigrational_matrix();
// size
unsigned long get_num_row() const;
unsigned long get_num_col() const;
// element
bigrational& operator ()(const unsigned long, const unsigned long) const;
// arithmetic
friend bigrational_matrix operator +(const bigrational_matrix&,
const bigrational_matrix&);
friend bigrational_matrix operator -(const bigrational_matrix&,
const bigrational_matrix&);
friend bigrational_matrix operator *(const bigrational_matrix&,
const bigrational_matrix&);
friend bigrational_matrix operator -(const bigrational_matrix&);
// friend bigrational_matrix scalar_mul(const bigrational&,
// const bigrational_matrix&);
// comparison
friend int operator ==(const bigrational_matrix&, const bigrational_matrix&);
friend int operator !=(const bigrational_matrix&, const bigrational_matrix&);
// arithemtic and assignment
bigrational_matrix& operator +=(const bigrational_matrix&);
bigrational_matrix& operator -=(const bigrational_matrix&);
// bigrational_matrix& scalar_mul_assign(const bigrational&);
// linear algebra
friend unsigned long rank(const bigrational_matrix&);
// square matrix
int is_identity() const;
friend bigrational det(const bigrational_matrix&);
bigrational Bareiss(bigrational_matrix&) const;
bigrational_matrix inverse() const;
// stream
friend ostream& operator <<(ostream&, const bigrational_matrix&);
};
inline unsigned long bigrational_matrix :: get_num_row() const
{
return num_row;
}
inline unsigned long bigrational_matrix :: get_num_col() const
{
return num_col;
}
inline
bigrational& bigrational_matrix :: operator ()(const unsigned long r,
const unsigned long c) const
{
return rep[r * num_col + c];
}
#endif
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