lab 6 start

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#ifndef matrix_h
#define matrix_h
#include <iostream>
#include "row.h"
class Matrix
{
public:
// No default (no argument) constructor. It doesn't really make
// sense to have one as we cannot rely on a size. This may trip
// us up later, but it will lead to a better implementation.
// matrix();
// Constructor - create Matrix and clear cells. If rows or
// cols is < 1, throw an exception
Matrix(unsigned int rows, unsigned int cols);
// Copy constructor - make a new Matrix just like rhs
Matrix(const Matrix& from);
// Destructor. Free allocated memory
~Matrix();
// Assignment operator - make this just like rhs. Must function
// correctly even if rhs is a different size than this.
Matrix& operator=(const Matrix& rhs);
// Named Constructor - produce a square identity matrix of the
// requested size. Since we do not know how the object produced will
// be used, we pretty much have to return by value. A size of 0
// would not make sense and should throw an exception.
static Matrix identity(unsigned int size);
// Matrix addition - lhs and rhs must be same size otherwise
// an exception shall be thrown
Matrix operator+(const Matrix& rhs) const;
// Matrix multiplication - lhs and rhs must be compatible
// otherwise an exception shall be thrown
Matrix operator*(const Matrix& rhs) const;
// Scalar multiplication. Note, this function will support
// someMatrixObject * 5.0, but not 5.0 * someMatrixObject.
Matrix operator*(const double scale) const;
// Transpose of a Matrix - should always work, hence no exception
Matrix operator~() const;
// Clear Matrix to all members 0.0
void clear();
// Access Operators - throw an exception if index out of range
Row& operator[](unsigned int row);
// const version of above - throws an exception if indices are out of
// range
const Row& operator[](unsigned int row) const;
// I/O - for convenience - this is intended to be called by the global
// << operator declared below.
void out(std::ostream& os) const;
private:
// An array of Row pointers size "rows" that each point to a double array
// of size "cols"
Row** the_matrix;
unsigned int rows;
unsigned int cols;
/** routines **/
// add any "helper" routine here, such as routines to support
// matrix inversion
};
/** Some Related Global Functions **/
// Overloaded global << with std::ostream as lhs, Matrix as rhs. This method
// should generate output compatible with an ostream which is commonly used
// with console (cout) and files. Something like:
// [[ r0c0, r0c1, r0c2 ]
// [ r1c0, r1c1, r1c2 ]
// [ r0c0, r0c1, r0c2 ]]
// would be appropriate.
//
// Since this is a global function, it does not have access to the private
// data of a Matrix object. So, it will need to use the public interface of
// Matrix to do its job. The method Matrix::out was added to Matrix
// specifically for this purpose. The other option would have been to make
// it a "friend"
std::ostream& operator<<(std::ostream& os, const Matrix& rhs);
// We would normally have a corresponding >> operator, but
// will defer that exercise that until a later assignment.
// Scalar multiplication with a global function. Note, this function will
// support 5.0 * someMatrixObject, but not someMatrixObject * 5.0
Matrix operator*(const double scale, const Matrix& rhs);
#endif
// Based on lab by Dr. Darrin Rothe ((c) 2015 Dr. Darrin Rothe)