/*
* Copyright (C) 2013-2015 F(X)yz,
* Sean Phillips, Jason Pollastrini and Jose Pereda
* All rights reserved.
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
package org.fxyz.shapes.primitives;
import javafx.beans.property.DoubleProperty;
import javafx.beans.property.IntegerProperty;
import javafx.beans.property.SimpleDoubleProperty;
import javafx.beans.property.SimpleIntegerProperty;
import javafx.scene.DepthTest;
import javafx.scene.shape.CullFace;
import javafx.scene.shape.DrawMode;
import javafx.scene.shape.TriangleMesh;
import org.fxyz.geometry.Face3;
import org.fxyz.geometry.Point3D;
import org.fxyz.shapes.primitives.helper.KnotHelper;
/**
* 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 KnotMesh extends TexturedMesh {
private static final double DEFAULT_MAJOR_RADIUS = 2.0D;
private static final double DEFAULT_MINOR_RADIUS = 1.0D;
private static final double DEFAULT_WIRE_RADIUS = 0.2D;
private static final double DEFAULT_P = 2.0D;
private static final double DEFAULT_Q = 3.0D;
private static final double DEFAULT_LENGTH = 2.0D*Math.PI*DEFAULT_Q;
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;
private KnotHelper knot;
public KnotMesh() {
this(DEFAULT_MAJOR_RADIUS, DEFAULT_MINOR_RADIUS, DEFAULT_WIRE_RADIUS, DEFAULT_P, DEFAULT_Q,
DEFAULT_LENGTH_DIVISIONS, DEFAULT_WIRE_DIVISIONS, DEFAULT_LENGTH_CROP, DEFAULT_WIRE_CROP);
}
public KnotMesh(double majorRadius, double minorRadius, double wireRadius, double p, double q) {
this(majorRadius, minorRadius, wireRadius, p, q,
DEFAULT_LENGTH_DIVISIONS, DEFAULT_WIRE_DIVISIONS, DEFAULT_LENGTH_CROP, DEFAULT_WIRE_CROP);
}
public KnotMesh(double majorRadius, double minorRadius, double wireRadius, double p, double q,
int rDivs, int tDivs, int lengthCrop, int wireCrop) {
setMajorRadius(majorRadius);
setMinorRadius(minorRadius);
setWireRadius(wireRadius);
setP(p);
setQ(q);
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=createSpring((float) getMajorRadius(), (float) getMinorRadius(), (float) getWireRadius(), (float) getP(), (float) getQ(), (float) getLength(),
getLengthDivisions(), getWireDivisions(), getLengthCrop(), getWireCrop(),
(float) getTubeStartAngleOffset(), (float)getxOffset(),(float)getyOffset(), (float)getzOffset());
setMesh(mesh);
}
private final DoubleProperty majorRadius = new SimpleDoubleProperty(DEFAULT_MAJOR_RADIUS){
@Override protected void invalidated() {
if(mesh!=null){
updateMesh();
}
}
};
public final double getMajorRadius() {
return majorRadius.get();
}
public final void setMajorRadius(double value) {
majorRadius.set(value);
}
public DoubleProperty majorRadiusProperty() {
return majorRadius;
}
private final DoubleProperty minorRadius = new SimpleDoubleProperty(DEFAULT_MINOR_RADIUS){
@Override protected void invalidated() {
if(mesh!=null){
updateMesh();
}
}
};
public final double getMinorRadius() {
return minorRadius.get();
}
public final void setMinorRadius(double value) {
minorRadius.set(value);
}
public DoubleProperty minorRadiusProperty() {
return minorRadius;
}
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 DoubleProperty length = new SimpleDoubleProperty(DEFAULT_LENGTH){
@Override protected void invalidated() {
if(mesh!=null){
updateMesh();
}
}
};
public final double getLength() {
return length.get();
}
public final void setLength(double value) {
length.set(value);
}
public DoubleProperty lengthProperty() {
return length;
}
private final DoubleProperty q = new SimpleDoubleProperty(DEFAULT_Q){
@Override protected void invalidated() {
if(mesh!=null){
updateMesh();
}
}
};
public final double getQ() {
return q.get();
}
public final void setQ(double value) {
setLength(2d*Math.PI*Math.abs(value));
q.set(value);
}
public DoubleProperty qProperty() {
return q;
}
private final DoubleProperty p = new SimpleDoubleProperty(DEFAULT_P){
@Override protected void invalidated() {
if(mesh!=null){
updateMesh();
}
}
};
public double getP() {
return p.get();
}
public final void setP(double value) {
p.set(value);
}
public DoubleProperty pProperty() {
return p;
}
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 createSpring(float majorRadius, float minorRadius, float wireRadius, float p, float q, float length,
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;
float pointX, pointY, pointZ;
double a=wireRadius;
knot = new KnotHelper(majorRadius, minorRadius, p, q);
areaMesh.setWidth(knot.getLength());
areaMesh.setHeight(polygonalSize(wireRadius));
knot.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<subDivWire)){
float du = (float) (((double)u)*2d*Math.PI / ((double)subDivWire));
double pol = polygonalSection(du);
float cu=(float)(a*pol*Math.cos(du)), su=(float)(a*pol*Math.sin(du));
listVertices.add(knot.getS(t, cu, su));
}
}
}
// Create texture coordinates
createReverseTexCoords(subDivLength-2*cropLength,subDivWire-2*cropWire);
// Create textures
for (int t = cropLength; t < subDivLength-cropLength; t++) { // 0 - length
for (int u = cropWire; u < subDivWire-cropWire; u++) { // -Pi - +Pi
int p00 = (u-cropWire) + (t-cropLength)* numDivWire;
int p01 = p00 + 1;
int p10 = p00 + numDivWire;
int p11 = p10 + 1;
listTextures.add(new Face3(p00,p01,p11));
listTextures.add(new Face3(p11,p10,p00));
}
}
// Create faces
for (int t = cropLength; t < subDivLength-cropLength; t++) { // 0 - length
for (int u = cropWire; u < subDivWire-cropWire; u++) { // -Pi - +Pi
int p00 = (u-cropWire) + (t-cropLength)* (cropWire==0?subDivWire:numDivWire);
int p01 = p00 + 1;
int p10 = p00 + (cropWire==0?subDivWire:numDivWire);
int p11 = p10 + 1;
if(cropWire==0 && u==subDivWire-1){
p01-=subDivWire;
p11-=subDivWire;
}
listFaces.add(new Face3(p00,p01,p11));
listFaces.add(new Face3(p11,p10,p00));
}
}
// for (int u = cropWire; u < subDivWire-cropWire; u++) { // -Pi - +Pi
// for (int t = cropLength; t < subDivLength-cropLength; t++) { // 0 - length
// int p00 = (u-cropWire) * numDivLength + (t-cropLength);
// int p01 = p00 + 1;
// if(cropLength==0 && t==subDivLength-1){
// p01-=subDivLength;
// }
// int p10 = p00 + numDivLength;
// if(cropWire==0 && u==subDivWire-1){
// p10-=subDivWire*numDivLength;
// }
// int p11 = p10 + 1;
// if(cropLength==0 && t==subDivLength-1){
// p11-=subDivLength;
// }
// listFaces.add(new Point3D(p00,p10,p11));
// listFaces.add(new Point3D(p11,p01,p00));
// }
// }
return createMesh();
}
public Point3D getPositionAt(double t){
return knot.getPositionAt(t);
}
public Point3D getTangentAt(double t){
return knot.getTangentAt(t);
}
public double getTau(double t){
return knot.getTau(t);
}
public double getKappa(double t){
return knot.getKappa(t);
}
}
