/*  This file is part of the source code for 3D-XplorMath-J, Version 1.0 (January 2008).
 *  Copyright (c) 2008 The 3D-XplorMath Consortium (http://3d-xplormath.org).
 *  This source code is released under a BSD License, which allows redistribution   
 *  in source and binary form, with or without modification, provided copyright
 *  and license information are included, and with no warranty or guarantee of
 *  any kind.  For details, see http://3d-xplormath.org/j/source/BSDLicense.txt
 */
 
 package vmm3d.surface.parametric;

import java.awt.Color;
import java.awt.event.ActionEvent;

import javax.swing.event.ChangeEvent;
import javax.swing.event.ChangeListener;

import vmm3d.actions.AbstractActionVMM;
import vmm3d.actions.ActionList;
import vmm3d.core.BasicAnimator;
import vmm3d.core.Complex;
import vmm3d.core.I18n;
import vmm3d.core.IntegerParam;
import vmm3d.core.Parameter;
import vmm3d.core.RealParamAnimateable;
import vmm3d.core.View;
import vmm3d.core3D.ComplexVector3D;
import vmm3d.core3D.GridTransformMatrix;
import vmm3d.core3D.Vector3D;
import vmm3d.core3D.View3DLit;
import vmm3d.surface.SurfaceView;

public class LidinoidHfamily extends WeierstrassMinimalSurface {
// This program is presently experimentally. The Lidinoid is not fully understood	
	private RealParamAnimateable aa = new RealParamAnimateable("vmm3d.surface.parametric.LidinoidHfamily.aa",0.5353,0.3,0.8);
	private RealParamAnimateable bb = new RealParamAnimateable("vmm3d.surface.parametric.LidinoidHfamily.bb",0.71399180,0.5,0.9);
	//ComplexVector3D[][] integrationGrid;
	//boolean needsIntegrationGrid = true;
	
	public LidinoidHfamily() {
		super();
		addParameter(bb);
		bb.setMaximumValueForInput(4.0); // if one wants to morph that far, increase resolution
		bb.setMinimumValueForInput(0.0);
		addParameter(aa);
		aa.setMaximumValueForInput(0.99); // if one wants to morph that far, increase resolution
		aa.setMinimumValueForInput(0.01);
		setDefaultOrientation(View3DLit.NORMAL_ORIENTATION);
		setDefaultViewUp(new Vector3D(-0.52,  0.84,  -0.15));
		setDefaultViewpoint(new Vector3D(-13, 0.33, 47.4));
		setDefaultWindow(-4,4,-3.5,3.1);
			uPatchCount.setValueAndDefault(18);
			vPatchCount.setValueAndDefault(12);
			umin.reset(0.005);
			umax.reset(0.9995);
			vmin.reset(0.0); 
			vmax.reset(2.0);
		removeParameter(vmin);
		removeParameter(vmax);
		removeParameter(umin);
		removeParameter(umax);
		afp.reset(Math.PI/2*0.71399180); //,Math.PI/2*0.681,Math.PI/2*0.772); // for Lidinoid
		iFirstInHelper = false;
		iBeginMiddleInHelper = true;
		// change the next two booleans for testing (or later for education)
		wantsToSeeDomain = false;//true;//
		wantsToSeeGaussImage = false;//true;//
		if (wantsToSeeGaussImage)  wantsToSeeDomain = true;
		if (wantsToSeeDomain)		 {setDefaultViewUp(new Vector3D(0,0,1));
	  	                           setDefaultViewpoint(new Vector3D(0,0,40));}
		multipleCopyOptions = new int[] {2,3};
		//canShowConjugateSurface = true;
	}

	private boolean adaptAFP = true; // used in createHelperArray
	private double gbranch,a3,scale;
	private Vector3D trans, transY, transZ, surf_1, surf_2, surf_3, norm_3;
	private GridTransformMatrix Msym;
// ===================================== // =================================== //
	public View getDefaultView() {
		//SurfaceView view = (SurfaceView)super.getDefaultView();  // its actually a WMSView
		WMSView view = new WMSView();
		view.setGridSpacing(12);
		float c0 = (float)0.2;
		//view.getLightSettings().setLight0(new Color(c0,c0,c0));
		view.getLightSettings().setAmbientLight(new Color(c0,c0,c0));
		//view.getLightSettings().getDirectionalLight2().setItsColor(new Color((float)0.5,(float)1.0,(float)0.0));
		//view.getLightSettings().getDirectionalLight2().setItsDirection (new Vector3D(0.66,-0.34,-0.66));
		view.getLightSettings ().setSpecularExponent(100);
		view.getLightSettings().setSpecularRatio( (float)0.8 );
		return view;
	}
	
	public void parameterChanged(Parameter param, Object oldValue, Object newValue) {
		   // overridden to keep state of showConjugateSurfaceToggle in sync with the value of afp.
		super.parameterChanged(param, oldValue, newValue);
	     if (param == afp);
	    	 	adaptAFP = false;  // used in createHelperArray to disallow adaption of AFP to close period.
	    	 if (needsValueArray)  adaptAFP = true; // always correct AFP if an essential parameter changed
	}

	protected void createData() {
        super.createData();    // helperArray created, flag0 & flag05 are set
        data.discardGridTransforms(); 
        computePeriodData();
        GridTransformMatrix[] trList = new GridTransformMatrix[64];
        		trList[0] = new GridTransformMatrix();
        		// GridTransformMatrix b = new GridTransformMatrix().scale(-1,1,-1).reverse();
        		GridTransformMatrix Z120 = new GridTransformMatrix().rotateZ(120);
        if (!wantsToSeeDomain)		{
        	for (int e=0; e < 2; e++){
        		trList[1+e] = new GridTransformMatrix(trList[e]).leftMultiplyBy(Z120);
        		data.addGridTransform(trList[1+e]); 
        		}
        	for (int e=0; e < 3; e++){
        		trList[3+e] = new GridTransformMatrix(trList[e]).scale(-1,-1,-1).reverse();
        		data.addGridTransform(trList[3+e]); 
        		}
        		trList[6] = new GridTransformMatrix(trList[0]).scale(-1,-1,-1).reverse().translate(surf_1);
        		data.addGridTransform(trList[6]);
        		trList[7] = new GridTransformMatrix(trList[4]).scale(-1,-1,-1).reverse().translate(surf_1);
        		data.addGridTransform(trList[7]);
        	for (int e=0; e < 4; e++){
        		trList[8+e] = new GridTransformMatrix(trList[6+e]).leftMultiplyBy(Z120);
        		data.addGridTransform(trList[8+e]);	
        		}
        	for (int e=0; e < 6; e++){
        		trList[12+e] = new GridTransformMatrix(trList[6+e]).scale(-1,-1,-1).reverse();
        		data.addGridTransform(trList[12+e]);	
        		}
    	if ((getNumberOfPieces()==2)||(getNumberOfPieces()==3)) {
        		trList[18] = new GridTransformMatrix(trList[0]).leftMultiplyBy(Msym);
        		data.addGridTransform(trList[18]);
        		trList[19] = new GridTransformMatrix(trList[7]).leftMultiplyBy(Msym);
        		data.addGridTransform(trList[19]);
        for (int e=0; e < 4; e++){
            	trList[20+e] = new GridTransformMatrix(trList[18+e]).leftMultiplyBy(Z120);
            	data.addGridTransform(trList[20+e]); 
            	}
        for (int e=0; e < 6; e++){
            	trList[24+e] = new GridTransformMatrix(trList[18+e]).scale(-1,-1,-1).reverse();
            	data.addGridTransform(trList[24+e]); 
            	}
        	  } // if (getNumberOfPieces()==2)
    	if ((getNumberOfPieces()==3)&&(!inAssociateMorph)) {
    			trList[30] = new GridTransformMatrix(trList[6]).leftMultiplyBy(Msym);
    			data.addGridTransform(trList[30]);
    			trList[31] = new GridTransformMatrix(trList[4]).leftMultiplyBy(Msym);
    			data.addGridTransform(trList[31]);
    			//trList[32] = new GridTransformMatrix(trList[2]).leftMultiplyBy(Msym);// further out
        for (int e=0; e < 4; e++){
        		trList[32+e] = new GridTransformMatrix(trList[30+e]).leftMultiplyBy(Z120);
        		data.addGridTransform(trList[32+e]); 
        		}
    		 } // if (getNumberOfPieces()==3)
        } // (!wantsToSeeDomain)
	}
	
	public static double paramRescaleEnd(double x){
		double y;
		y = Math.sin(Math.PI/2*x);
		return y;
	}
	public static double paramRescaleStart(double x){
		double y;
		y = 1-Math.cos(Math.PI/2*x);
		return y;
	}
	public static double paramRescaleBoth(double x){
		double y;
		y = (1.0-Math.cos(Math.PI/2*x))/2.0;
		return y;
	}
	
	// override the default Cartesian Grid
	protected Complex domainGrid(double u, double v){
		double deps = 1.0/2048.0;
		double ph = 0;
		double r = 0;
		Complex z;
			
		    if (u <= 2.0/3.0)	
		    		r = gbranch*paramRescaleBoth(3*u);
			else if (u<=1)
				r = gbranch + (1.0 - gbranch)*paramRescaleStart(3*u-2.0);
		    ph = 2*Math.PI/3.0*paramRescaleBoth(v);
		    
			if (Math.abs(u-2.0/3.0) 

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