//samantha petro. created 27 sept 2006. last modified 12 oct 2006
//matrix.h - headerfile for the matrix class

#include <iostream>
#include <iomanip>
#define _USE_MATH_DEFINES
#include <math.h>
#define TO_RADS( degrees ) ((degrees) * (M_PI/180.0f))

using namespace std;

class matrix4x4 {
	friend class matrix4x1;
private:
	int col, row; //number of cols and rows in the matrix
	float values[4][4]; //holds the values of the matrix

public:
	matrix4x4() {row=4; col=4; zeroOut();}

	void zeroOut(); //zeroes out the matrix
	//gets
	int getM() {return row;} //returns M, the number of rows
	int getN(); //returns N, the number of cols

	//transformations - translate
	matrix4x4 transToOrigin(matrix4x1); //returns a translation matrix from point to origin
	matrix4x4 transToPoint(matrix4x1); //returns a translation matrix from origin to point
	//transformations - scale
	matrix4x4 scale(float, float, float); //scales by factors Sx, Sy, Sz
	//transformations - rotate
	matrix4x4 roll(float); //rotation about the z-axis by theta degrees
	matrix4x4 pitch(float); //rotation about the x-axis by theta degrees
	matrix4x4 yaw(float); //rotation about the y-axis by theta degrees

	//operators: I/O
	friend istream &operator >> (istream &, matrix4x4 &);
	friend ostream &operator << (ostream &, matrix4x4 &); //outputs a matrix

	//operators: arithmetic
	matrix4x4 operator* (const matrix4x4 &); //multiplication operator
	matrix4x1 operator* (const matrix4x1 &); //multiplies a 4x4 by a 4x1

};

class matrix4x1 {
	friend class matrix4x4;
private:
	int col, row; //number of cols and rows in the matrix
	float values[4][1]; //holds the values of the matrix

public:
	matrix4x1() {col = 1; row = 4; zeroOut();}

	void zeroOut(); //zeroes out the matrix
	matrix4x1 midpoint(matrix4x1);
	//gets
	int getM() {return row;} //returns M, the number of rows
	int getN(); //returns N, the number of cols

	//operators: I/O
	friend istream &operator >> (istream &, matrix4x1 &);
	friend ostream &operator << (ostream &, matrix4x1 &); //outputs coordinates
};