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/**
 * BezierMesh.java
 *
 * Copyright (c) 2013-2016, F(X)yz
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *     * Redistributions of source code must retain the above copyright
 * notice, this list of conditions and the following disclaimer.
 *     * Redistributions in binary form must reproduce the above copyright
 * notice, this list of conditions and the following disclaimer in the
 * documentation and/or other materials provided with the distribution.
 *     * Neither the name of F(X)yz, any associated website, nor the
 * names of its contributors may be used to endorse or promote products
 * derived from this software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED. IN NO EVENT SHALL F(X)yz BE LIABLE FOR ANY
 * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */ 

package org.fxyz3d.shapes.primitives;

import javafx.beans.property.DoubleProperty;
import javafx.beans.property.IntegerProperty;
import javafx.beans.property.ObjectProperty;
import javafx.beans.property.SimpleDoubleProperty;
import javafx.beans.property.SimpleIntegerProperty;
import javafx.beans.property.SimpleObjectProperty;
import javafx.scene.DepthTest;
import javafx.scene.shape.CullFace;
import javafx.scene.shape.DrawMode;
import javafx.scene.shape.TriangleMesh;
import org.fxyz3d.geometry.Face3;
import org.fxyz3d.shapes.primitives.helper.BezierHelper;

/**
 *  Spring based on this model:  http://en.wikipedia.org/wiki/Trefoil_knot
 *  Wrapped around a torus: http://mathoverflow.net/a/91459
    *  Using Frenet-Serret trihedron: http://mathematica.stackexchange.com/a/18612
 */
public class BezierMesh extends TexturedMesh {

    private static final double DEFAULT_WIRE_RADIUS = 0.2D;
    
    private static final int DEFAULT_LENGTH_DIVISIONS = 200;
    private static final int DEFAULT_WIRE_DIVISIONS = 50;
    private static final int DEFAULT_LENGTH_CROP = 0;
    private static final int DEFAULT_WIRE_CROP = 0;
    
    private static final double DEFAULT_START_ANGLE = 0.0D;
    private static final double DEFAULT_X_OFFSET = 0.0D;
    private static final double DEFAULT_Y_OFFSET = 0.0D;
    private static final double DEFAULT_Z_OFFSET = 1.0D;
    
    public BezierMesh(BezierHelper spline) {
        this(spline, DEFAULT_WIRE_RADIUS, 
             DEFAULT_LENGTH_DIVISIONS, DEFAULT_WIRE_DIVISIONS, DEFAULT_LENGTH_CROP, DEFAULT_WIRE_CROP);
    }

    public BezierMesh(BezierHelper spline, double wireRadius) {
        this(spline, wireRadius, 
             DEFAULT_LENGTH_DIVISIONS, DEFAULT_WIRE_DIVISIONS, DEFAULT_LENGTH_CROP, DEFAULT_WIRE_CROP);
    }

    public BezierMesh(BezierHelper spline, double wireRadius, 
                      int rDivs, int tDivs, int lengthCrop, int wireCrop) {
        
        setSpline(spline);
        setWireRadius(wireRadius);
        setLengthDivisions(rDivs);
        setWireDivisions(tDivs);
        setLengthCrop(lengthCrop);
        setWireCrop(wireCrop);
        
        updateMesh();
        setCullFace(CullFace.BACK);
        setDrawMode(DrawMode.FILL);
        setDepthTest(DepthTest.ENABLE);
    }

    @Override
    protected final void updateMesh(){   
        setMesh(null);
        mesh=createBezier(getSpline(), (float) getWireRadius(), 
            getLengthDivisions(), getWireDivisions(), getLengthCrop(), getWireCrop(),
            (float) getTubeStartAngleOffset(), (float)getxOffset(),(float)getyOffset(), (float)getzOffset());
        setMesh(mesh);
    }
    
    private final ObjectProperty spline = new SimpleObjectProperty(){
        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };
    
    public final BezierHelper getSpline(){
        return spline.get();
    }
    
    public final void setSpline(BezierHelper spline){
        this.spline.set(spline);
    }
    
    public ObjectProperty splineProperty(){
        return spline;
    }
    
    private final DoubleProperty wireRadius = new SimpleDoubleProperty(DEFAULT_WIRE_RADIUS){

        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };

    public final double getWireRadius() {
        return wireRadius.get();
    }

    public final void setWireRadius(double value) {
        wireRadius.set(value);
    }

    public DoubleProperty wireRadiusProperty() {
        return wireRadius;
    }

    private final IntegerProperty lengthDivisions = new SimpleIntegerProperty(DEFAULT_LENGTH_DIVISIONS){

        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };

    public final int getLengthDivisions() {
        return lengthDivisions.get();
    }

    public final void setLengthDivisions(int value) {
        lengthDivisions.set(value);
    }

    public IntegerProperty lengthDivisionsProperty() {
        return lengthDivisions;
    }

    private final IntegerProperty wireDivisions = new SimpleIntegerProperty(DEFAULT_WIRE_DIVISIONS){

        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };

    public final int getWireDivisions() {
        return wireDivisions.get();
    }

    public final void setWireDivisions(int value) {
        wireDivisions.set(value);
    }

    public IntegerProperty wireDivisionsProperty() {
        return wireDivisions;
    }

    private final IntegerProperty lengthCrop = new SimpleIntegerProperty(DEFAULT_LENGTH_CROP){

        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };
    
    public final int getLengthCrop() {
        return lengthCrop.get();
    }

    public final void setLengthCrop(int value) {
        lengthCrop.set(value);
    }

    public IntegerProperty lengthCropProperty() {
        return lengthCrop;
    }

    private final IntegerProperty wireCrop = new SimpleIntegerProperty(DEFAULT_WIRE_CROP){
    
        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };
    
    public final int getWireCrop() {
        return wireCrop.get();
    }

    public final void setWireCrop(int value) {
        wireCrop.set(value);
    }

    public IntegerProperty wireCropProperty() {
        return wireCrop;
    }
    
    private final DoubleProperty tubeStartAngleOffset = new SimpleDoubleProperty(DEFAULT_START_ANGLE){
    
        @Override protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
    };

    public final double getTubeStartAngleOffset() {
        return tubeStartAngleOffset.get();
    }

    public void setTubeStartAngleOffset(double value) {
        tubeStartAngleOffset.set(value);
    }

    public DoubleProperty tubeStartAngleOffsetProperty() {
        return tubeStartAngleOffset;
    }
    private final DoubleProperty xOffset = new SimpleDoubleProperty(DEFAULT_X_OFFSET){

        @Override
        protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
        
    };

    public final double getxOffset() {
        return xOffset.get();
    }

    public void setxOffset(double value) {
        xOffset.set(value);
    }

    public DoubleProperty xOffsetProperty() {
        return xOffset;
    }
    private final DoubleProperty yOffset = new SimpleDoubleProperty(DEFAULT_Y_OFFSET){

        @Override
        protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
        
    };

    public final double getyOffset() {
        return yOffset.get();
    }

    public void setyOffset(double value) {
        yOffset.set(value);
    }

    public DoubleProperty yOffsetProperty() {
        return yOffset;
    }
    private final DoubleProperty zOffset = new SimpleDoubleProperty(DEFAULT_Z_OFFSET){

        @Override
        protected void invalidated() {
            if(mesh!=null){
                updateMesh();
            }
        }
        
    };

    public final double getzOffset() {
        return zOffset.get();
    }

    public void setzOffset(double value) {
        zOffset.set(value);
    }

    public DoubleProperty zOffsetProperty() {
        return zOffset;
    }
    
    private TriangleMesh createBezier(BezierHelper spline, float wireRadius, 
            int subDivLength, int subDivWire, int cropLength, int cropWire,
            float startAngle, float xOffset, float yOffset, float zOffset) {
 
        listVertices.clear();
        listTextures.clear();
        listFaces.clear();
        
        int numDivLength = subDivLength + 1-2*cropLength;
        int numDivWire = subDivWire + 1-2*cropWire;
        double a=wireRadius;
        
        areaMesh.setWidth(spline.getLength());
        areaMesh.setHeight(polygonalSize(wireRadius));
        
        spline.calculateTrihedron(subDivLength);
        for (int t = cropLength; t <= subDivLength-cropLength; t++) {  // 0 - length
            for (int u = cropWire; u <= subDivWire-cropWire; u++) { // -Pi - +Pi
                if(cropWire>0 || (cropWire==0 && u




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