// ===========================================================================
//	ChossatGolubitskyChaos.java	1996 Yushin Hozumi All rights reserved.
//									Author:Yushin Hozumi
// ===========================================================================

package	StudioRAIN.chaos;

import StudioRAIN.geometry.*;
import StudioRAIN.chaos.*;

public class ChossatGolubitskyChaos implements ChaosGenerator2D
{
	float a, b, c, d;
	
	public ChossatGolubitskyChaos( float inA, float inB, float inC, float inD )
	{
		a = inA;
		b = inB;
		c = inC;
		d = inD;
	}

	public Vector2D transform( Vector2D inVector )
	{
		float theX = inVector.getX();
		float theY = inVector.getY();
		float theX2 = theX * theX;
		float theY2 = theY * theY;
		
		float theA = a * ( theX2 + theY2 ) + b * theX * ( theX2 - 3.0F * theY2 ) + c;

		return new Vector2D
		(
			theA * theX + d * ( theX2 - theY2 ),
			theA * theY - 2.0F * d * theX * theY
		);
	}

	public String getScript()
	{
		return 
			"A = ( " + Float.toString( a ) + " ) * ( x(n) * x(n) + y(n) * y(n) ) + ( " + Float.toString( b ) + " ) * x(n) * ( x(n) * x(n) - 3 * y(n) * y(n) ) + ( " + Float.toString( c ) + " )\n" +
			"x(n+1) = A * x(n) + ( " + Float.toString( d ) + " ) * ( x(n) * x(n) - y(n) * y(n) )\n" +
			"y(n+1) = A * y(n) - 2 * ( " + Float.toString( d ) + " ) * x(n) * y(n)\n";
	}
}