/**

 * @file  matrix.h

 * @brief Matrix class, currently not used

 *

 * This file is part of Pyrit Ray Tracer.

 *

 * Copyright 2006, 2007, 2008  Radek Brich

 *

 * Permission is hereby granted, free of charge, to any person obtaining a copy

 * of this software and associated documentation files (the "Software"), to deal

 * in the Software without restriction, including without limitation the rights

 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell

 * copies of the Software, and to permit persons to whom the Software is

 * furnished to do so, subject to the following conditions:

 *

 * The above copyright notice and this permission notice shall be included in

 * all copies or substantial portions of the Software.

 *

 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR

 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,

 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE

 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER

 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,

 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN

 * THE SOFTWARE.

 */

#ifndef MATRIX_H

#define MATRIX_H

#include "vector.h"

using namespace std;

/**

 * matrix helper class

 */

class Matrix

{

public:

	Float data[4][4];

	Matrix(): {};

	// sum

	friend Matrix operator+(const Matrix &a, const Matrix &b)

	{

		Matrix m = Matrix();

		for (int i = 0; i < 4; i++)

			for (int j = 0; j < 4; j++)

				m.data[i][j] = a.data[i][j] + b.data[i][j];

		return m;

	}

	// difference

	friend Matrix operator-(const Matrix &a, const Matrix &b)

	{

		Matrix m = Matrix();

		for (int i = 0; i < 4; i++)

			for (int j = 0; j < 4; j++)

				m.data[i][j] = a.data[i][j] - b.data[i][j];

		return m;

	}

	// product

	friend Matrix operator*(const Matrix &a, const Matrix &b)

	{

		Matrix m = Matrix();

		for (int i = 0; i < 4; i++)

			for (int j = 0; j < 4; j++)

				m.data[i][j] =

					a.data[i][0] * b.data[0][j] +

					a.data[i][1] * b.data[1][j] +

					a.data[i][2] * b.data[2][j] +

					a.data[i][3] * b.data[3][j];

		return m;

	}

	// negative

	Matrix operator-()

	{

		Matrix m = Matrix();

		for (int i = 0; i < 4; i++)

			for (int j = 0; j < 4; j++)

				m.data[i][j] = -data[i][j];

		return m;

	}

	// product of matrix and scalar

	Matrix operator*(const Float &f)

	{

		Matrix m = Matrix();

		for (int i = 0; i < 4; i++)

			for (int j = 0; j < 4; j++)

				m.data[i][j] = data[i][j] * f;

		return m;

	}

	friend Matrix operator*(const Float &f, Matrix &m) { return m * f; };

	// product of matrix and vector

	Vector operator*(const Vector &v)

	{

		Vector u = Vector();

		u.x = data[0][0] * v.x + data[0][1] * v.y + data[0][2] * v.z + data[0][3] * v.w;

		u.y = data[1][0] * v.x + data[1][1] * v.y + data[1][2] * v.z + data[1][3] * v.w;

		u.z = data[2][0] * v.x + data[2][1] * v.y + data[2][2] * v.z + data[2][3] * v.w;

		u.w = data[3][0] * v.x + data[3][1] * v.y + data[3][2] * v.z + data[3][3] * v.w;

		return u;

	}

	friend Matrix operator*(const Vector &v, Matrix &m) { return m * v; };

};

#endif