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