/* solution to ES101 Laboratory Asignment for Wednesday of the week of 6/9/04 */

import java.awt.*;
import javabook.MainWindow;
import javabook.InputBox;


class Test
{
	public static void main (String[] arg)
	{
		MainWindow mainWindow;
		InputBox inputBox;
		mainWindow = new MainWindow(" ");
		Matrix4x4 m;
		mainWindow.setVisible(true);
		inputBox = new InputBox(mainWindow);
		m = new Matrix4x4(
		inputBox.getInteger("m11"),inputBox.getInteger("m21"),
		inputBox.getInteger("m31"),inputBox.getInteger("m41"),inputBox.getInteger("m12"),
		inputBox.getInteger("m22"),inputBox.getInteger("m32"),inputBox.getInteger("m42"),
		inputBox.getInteger("m13"),inputBox.getInteger("m23"),inputBox.getInteger("m33"),
		inputBox.getInteger("m43"),inputBox.getInteger("m14"),inputBox.getInteger("m24"),
		inputBox.getInteger("m34"),inputBox.getInteger("m44"));

		System.out.println("the determinant of the matrix is " + m.determinant());


		m = m.multiply(m.transpose());

		System.out.print(m.getM12u().getColVectorA().getA() + " " + m.getM12u().getColVectorB().getA()+" ");
		System.out.print(m.getM34u().getColVectorA().getA() + " " + m.getM34u().getColVectorB().getA());
		System.out.println();
		
		System.out.print(m.getM12u().getColVectorA().getB() + " " + m.getM12u().getColVectorB().getB()+" ");
		System.out.print(m.getM34u().getColVectorA().getB() + " " + m.getM34u().getColVectorB().getB());
		System.out.println();
		
		System.out.print(m.getM12l().getColVectorA().getA() + " " + m.getM12l().getColVectorB().getA()+" ");
		System.out.print(m.getM34l().getColVectorA().getA() + " " + m.getM34l().getColVectorB().getA());
		System.out.println();
		
		System.out.print(m.getM12l().getColVectorA().getB() + " " + m.getM12l().getColVectorB().getB()+" ");
		System.out.print(m.getM34l().getColVectorA().getB() + " " + m.getM34l().getColVectorB().getB());
		System.out.println();

	}
}

class TwoVector
{
	//Vector elements
	private int a, b;

	/* constructors */
	TwoVector()
	{
		a = 0;
		b = 0;
	}

	TwoVector(int x, int y)
	{
		a = x;
		b = y;
	}
	////////////////////////////////////

	/* set methods fot the elements */
	public void setA(int x)
	{ a = x; }

	public void setB(int y)
	{ b = y; }
	////////////////////////////////////
	
	/* get methods for the elements */
	public int getA()
	{ return a; }

	public int getB()
	{ return b; }
	////////////////////////////////////

	public TwoVector addTwoVector( TwoVector v)
	{
		TwoVector sum = new TwoVector();
		sum.a = v.a + a;
		sum.b = v.b + b;

		return sum;
	}

	public TwoVector dotProductTwoVector( TwoVector v)
	{
		TwoVector dotProduct = new TwoVector();
		dotProduct.a = v.a*a;
		dotProduct.b = v.b*b;

		return dotProduct;
	}
}

class Matrix2x2
{
	private TwoVector a,b;

	/* constructors */
	Matrix2x2()
	{
		a = new TwoVector();
		b = new TwoVector();
	}

	Matrix2x2(TwoVector x,TwoVector y)
	{
		a = x;
		b = y;
	}

	Matrix2x2(int aa,int ab,int ba, int bb)
	{
		a = new TwoVector(aa,ab);
		b = new TwoVector(ba,bb);
	}
	////////////////////////////////////	

	/* set methods fot the elements */
	public void setAA(int aa)
	{
		a.setA(aa);
	}

	public void setAB(int ab)
	{
		a.setB(ab);
	}

	public void setBA(int ba)
	{
		b.setA(ba);
	}

	public void setBB(int bb)
	{
		b.setB(bb);
	}
	////////////////////////////////////

	/* get methods for the elements */
	public int getAA()
	{
		return a.getA();
	}

	public int getAB()
	{
		return a.getB();
	}

	public int getBA()
	{
		return b.getA();
	}

	public int getBB()
	{
		return b.getB();
	}
	////////////////////////////////////

	/* set methods for vectors */
	public void setColVectorA(TwoVector x)
	{
		a = x;
	}

	public void serColVectorB(TwoVector y)
	{
		b = y;
	}
	////////////////////////////////////

	/* get methods for vectors */
	public TwoVector getColVectorA()
	{
		return a;
	}

	public TwoVector getColVectorB()
	{
		return b;
	}
	////////////////////////////////////
	
	public Matrix2x2 transpose()
	{
		Matrix2x2 t = new Matrix2x2(a.getA(),b.getA(),a.getB(),b.getB());
		return t;
	}

	public Matrix2x2 multiply(Matrix2x2 m)
	{
		Matrix2x2 t = new Matrix2x2( a.getA()*m.getColVectorA().getA() + b.getA()*m.getColVectorA().getB(),
												a.getB()*m.getColVectorA().getA() + b.getB()*m.getColVectorA().getB(),
												a.getA()*m.getColVectorB().getA() + b.getA()*m.getColVectorB().getB(),
												a.getB()*m.getColVectorB().getA() + b.getB()*m.getColVectorB().getB());
		return t;
	}

	public Matrix2x2 add(Matrix2x2 m)
	{
		Matrix2x2 t = new Matrix2x2( a.getA()+m.getColVectorA().getA(), a.getB()+m.getColVectorA().getB(),
												b.getA()+m.getColVectorB().getA(), b.getB()+m.getColVectorB().getB());
		return t;
	}

	public int determinant()
	{
		return (a.getA()*b.getB() - a.getB()*b.getA());
	}
}

class Matrix4x4
{
	private Matrix2x2 m12u,m12l,m34u,m34l;

	/* constructors */
	Matrix4x4()
	{
		m12u = new Matrix2x2();
		m12l = new Matrix2x2();
		m34u = new Matrix2x2();
		m34l = new Matrix2x2();
	}

	Matrix4x4(Matrix2x2 im12u,Matrix2x2 im12l,Matrix2x2 im34u,Matrix2x2 im34l)
	{
		m12u = im12u;
		m12l = im12l;
		m34u = im34u;
		m34l = im34l;
	}

	Matrix4x4(int m12uaa,int m12uab,int m12laa,int m12lab,int m12uba,int m12ubb,int m12lba,int m12lbb,
					int m34uaa,int m34uab,int m34laa,int m34lab,int m34uba,int m34ubb,int m34lba,int m34lbb)
	{
		m12u = new Matrix2x2(m12uaa,m12uab,m12uba,m12ubb);
		m12l = new Matrix2x2(m12laa,m12lab,m12lba,m12lbb);
		m34u = new Matrix2x2(m34uaa,m34uab,m34uba,m34ubb);
		m34l = new Matrix2x2(m34laa,m34lab,m34lba,m34lbb);
	}
	////////////////////////////////////

	public Matrix2x2 getM12u()
	{
		return m12u;
	}

	public Matrix2x2 getM12l()
	{
		return m12l;
	}
	public Matrix2x2 getM34u()
	{
		return m34u;
	}
	public Matrix2x2 getM34l()
	{
		return m34l;
	}
	public Matrix4x4 add(Matrix4x4 m)
	{
		Matrix4x4 t = new Matrix4x4(m12u.add(m.getM12u()),m12l.add(m.getM12l()),m34u.add(m.getM34u()),m34l.add(m.getM34l()));
		return t;
	}

	public Matrix4x4 multiply(Matrix4x4 m)
	{
		Matrix4x4 t = new Matrix4x4(m12u.multiply(m.m12u).add(m34u.multiply(m.m12l)),
												m12l.multiply(m.m12u).add(m34l.multiply(m.m12l)),
												m12u.multiply(m.m34u).add(m34u.multiply(m.m34l)),
												m12l.multiply(m.m34u).add(m34l.multiply(m.m34l)));
		return t;
	}

	public Matrix4x4 transpose()
	{
		Matrix4x4 t = new Matrix4x4(m12u.transpose(),m34u.transpose(),m12l.transpose(),m34l.transpose());
		return t;
	}

	public int determinant()
	{
		Matrix2x2 m13u = new Matrix2x2(m12u.getColVectorA(),m34u.getColVectorA());
		Matrix2x2 m13l = new Matrix2x2(m12l.getColVectorA(),m34l.getColVectorA());
		Matrix2x2 m24u = new Matrix2x2(m12u.getColVectorB(),m34u.getColVectorB());
		Matrix2x2 m24l = new Matrix2x2(m12l.getColVectorB(),m34l.getColVectorB());
		Matrix2x2 m14u = new Matrix2x2(m12u.getColVectorA(),m34u.getColVectorB());
		Matrix2x2 m14l = new Matrix2x2(m12l.getColVectorA(),m34l.getColVectorB());
		Matrix2x2 m23u = new Matrix2x2(m12u.getColVectorB(),m34u.getColVectorA());
		Matrix2x2 m23l = new Matrix2x2(m12l.getColVectorB(),m34l.getColVectorA());

		return (m12u.determinant()*m34l.determinant()+m12l.determinant()*m34u.determinant()-
					m13u.determinant()*m24l.determinant()-m13l.determinant()*m24u.determinant()+
					m14u.determinant()*m23l.determinant()+m14l.determinant()*m23u.determinant());
	}
	
}