/** * TetrahedraMesh.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 java.util.Arrays; import java.util.HashMap; import java.util.List; import java.util.concurrent.atomic.AtomicInteger; import java.util.stream.Collectors; import java.util.stream.DoubleStream; import java.util.stream.IntStream; 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.geometry.Point2D; import javafx.scene.DepthTest; import javafx.scene.shape.CullFace; import javafx.scene.shape.DrawMode; import javafx.scene.shape.TriangleMesh; import javafx.scene.transform.Affine; import javafx.scene.transform.NonInvertibleTransformException; import javafx.scene.transform.Transform; import javafx.scene.transform.Translate; import org.fxyz3d.geometry.Face3; import org.fxyz3d.geometry.Point3D; import org.fxyz3d.collections.FloatCollector; /** * * @author José Pereda Llamas * Created on 22-dic-2014 - 21:51:51 */ public class TetrahedraMesh extends TexturedMesh { private final static double DEFAULT_HEIGHT = 10; private final static int DEFAULT_LEVEL = 1; private final static Point3D DEFAULT_CENTER = new Point3D(0f,0f,0f); public TetrahedraMesh(){ this(DEFAULT_HEIGHT, DEFAULT_LEVEL,null); } public TetrahedraMesh(double height){ this(height, DEFAULT_LEVEL, null); } public TetrahedraMesh(double height, int level, Point3D center){ setHeight(height); setLevel(level); setCenter(center); updateMesh(); setCullFace(CullFace.BACK); setDrawMode(DrawMode.FILL); setDepthTest(DepthTest.ENABLE); } private final DoubleProperty height = new SimpleDoubleProperty(DEFAULT_HEIGHT){ @Override protected void invalidated() { if(mesh!=null){ updateMesh(); } } }; public double getHeight() { return height.get(); } public final void setHeight(double value) { height.set(value); } public DoubleProperty heightProperty() { return height; } private final IntegerProperty level = new SimpleIntegerProperty(DEFAULT_LEVEL){ @Override protected void invalidated() { if(mesh!=null){ updateMesh(); } } }; public final int getLevel() { return level.get(); } public final void setLevel(int value) { level.set(value); } public final IntegerProperty levelProperty() { return level; } private final ObjectProperty<Point3D> center = new SimpleObjectProperty<Point3D>(DEFAULT_CENTER){ @Override protected void invalidated() { if(mesh!=null){ updateMesh(); } } }; public Point3D getCenter() { return center.get(); } public final void setCenter(Point3D value) { center.set(value); } public ObjectProperty<Point3D> centerProperty() { return center; } @Override protected final void updateMesh() { setMesh(null); mesh=createTetrahedra((float)getHeight(), getLevel()); setMesh(mesh); } private int numVertices, numTexCoords, numFaces; private float[] points0, texCoord0; private int[] faces0; private List<Point2D> texCoord1; private Transform a = new Affine(); private TriangleMesh createTetrahedra(float height, int level){ TriangleMesh m0=null; if(level>0){ m0= createTetrahedra(height, level-1); } if(level==0){ a = new Affine(); float hw=height; if(center.get()!=null){ a=a.createConcatenation(new Translate(center.get().x,center.get().y,center.get().z)); } final float[] baseVertices = new float[]{ 0f, 0f, 0.612372f*hw, -0.288675f*hw, -0.5f*hw, -0.204124f*hw, -0.288675f*hw, 0.5f*hw, -0.204124f*hw, 0.57735f*hw, 0f, -0.204124f*hw }; final float[] baseTexCoords = new float[]{ 0f, 0f, 0.5f, 0.866025f, 1f, 0f, 1f, 1.73205f, 1.5f, 0.866025f, 2f, 0f }; final int[] baseTexture = new int[]{ 0, 2, 1, 3, 1, 4, 2, 4, 1, 4, 2, 5 }; final List<Integer> baseFaces = Arrays.asList( 1, 2, 3, 2, 1, 0, 3, 0, 1, 0, 3, 2 ); for(int i=0; i<baseVertices.length/3; i++){ Point3D ta = transform(baseVertices[3*i],baseVertices[3*i+1],baseVertices[3*i+2]); baseVertices[3*i]=ta.x; baseVertices[3*i+1]=ta.y; baseVertices[3*i+2]=ta.z; } points0 = baseVertices; numVertices=baseVertices.length/3; texCoord0 = baseTexCoords; numTexCoords=baseTexCoords.length/2; faces0 = IntStream.range(0, baseFaces.size()/3) .mapToObj(i->IntStream.of(baseFaces.get(3*i), baseTexture[3*i], baseFaces.get(3*i+1), baseTexture[3*i+1], baseFaces.get(3*i+2), baseTexture[3*i+2])) .flatMapToInt(i->i).toArray(); numFaces=baseFaces.size()/3; } else if(m0!=null) { points0=new float[numVertices*m0.getPointElementSize()]; m0.getPoints().toArray(points0); } List<Point3D> points1 = IntStream.range(0, numVertices) .mapToObj(i -> new Point3D(points0[3*i], points0[3*i+1], points0[3*i+2])) .collect(Collectors.toList()); if(level>0 && m0!=null){ texCoord0=new float[numTexCoords*m0.getTexCoordElementSize()]; m0.getTexCoords().toArray(texCoord0); } texCoord1 = IntStream.range(0, numTexCoords) .mapToObj(i -> new Point2D(texCoord0[2*i], texCoord0[2*i+1])) .collect(Collectors.toList()); if(level>0 && m0!=null){ faces0=new int[numFaces*m0.getFaceElementSize()]; m0.getFaces().toArray(faces0); } List<Face3> faces1 = IntStream.range(0, numFaces) .mapToObj(i -> new Face3(faces0[6*i], faces0[6*i+2], faces0[6*i+4])) .collect(Collectors.toList()); index.set(points1.size()); map.clear(); listVertices.clear(); listFaces.clear(); listVertices.addAll(points1); faces1.forEach(face->{ int v1=face.p0; int v2=face.p1; int v3=face.p2; if(level>0){ int a = getMiddle(v1,points1.get(v1),v2,points1.get(v2)); int b = getMiddle(v2,points1.get(v2),v3,points1.get(v3)); int c = getMiddle(v3,points1.get(v3),v1,points1.get(v1)); listFaces.add(new Face3(v1,a,c)); listFaces.add(new Face3(v2,b,a)); listFaces.add(new Face3(v3,c,b)); listFaces.add(new Face3(a,b,c)); } else { listFaces.add(new Face3(v1,v2,v3)); } }); map.clear(); numVertices=listVertices.size(); numFaces=listFaces.size(); List<Face3> textures1; if(level==0){ textures1= IntStream.range(0, faces0.length/6) .mapToObj(i -> new Face3(faces0[6*i+1], faces0[6*i+3], faces0[6*i+5])) .collect(Collectors.toList()); } else { textures1 = listTextures.stream().map(t->t).collect(Collectors.toList()); } index.set(texCoord1.size()); listTextures.clear(); textures1.forEach(face->{ int v1=face.p0; int v2=face.p1; int v3=face.p2; if(level>0){ int a = getMiddle(v1,texCoord1.get(v1),v2,texCoord1.get(v2)); int b = getMiddle(v2,texCoord1.get(v2),v3,texCoord1.get(v3)); int c = getMiddle(v3,texCoord1.get(v3),v1,texCoord1.get(v1)); listTextures.add(new Face3(v1,a,c)); listTextures.add(new Face3(v2,b,a)); listTextures.add(new Face3(v3,c,b)); listTextures.add(new Face3(a,b,c)); } else { listTextures.add(new Face3(v1,v2,v3)); } }); map.clear(); texCoord0=texCoord1.stream().flatMapToDouble(p->DoubleStream.of(p.getX(),p.getY())) .collect(()->new FloatCollector(texCoord1.size()*2), FloatCollector::add, FloatCollector::join).toArray(); numTexCoords=texCoord0.length/2; textureCoords=texCoord0; if(level==getLevel()){ areaMesh.setWidth(2f*height); areaMesh.setHeight(height*Math.sqrt(3)); // 1<<j -> bitset, 00100. Otherwise: 000111 will mean they are shared smoothingGroups=IntStream.range(0,listFaces.size()).map(i->1<<(i/(listFaces.size()/4))).toArray(); // smoothing groups based on 3DViewer -> same result // float[] normals=new float[]{1,0,0,-1,0,0,0,1,0,0,-1,0,0,0,1,0,0,-1}; // int[] newFaces = IntStream.range(0, listFaces.size()) // .mapToObj(i->IntStream.of((int)listFaces.get(i).x, (int)listFaces.get(i).x, // (int)listFaces.get(i).y, (int)listFaces.get(i).y, // (int)listFaces.get(i).z, (int)listFaces.get(i).z)) // .flatMapToInt(i->i).toArray(); // int[] newFaceNormals = IntStream.range(0,listFaces.size()).mapToObj(i->{ // int j=(i/(listFaces.size()/6)); // return IntStream.of(j,j,j); // }).flatMapToInt(i->i).toArray(); // smoothingGroups=SmoothingGroups.calcSmoothGroups(new TriangleMesh(), newFaces, newFaceNormals, normals); } return createMesh(); } private Point3D transform(Point3D p){ javafx.geometry.Point3D ta = a.transform(p.x,p.y,p.z); return new Point3D((float)ta.getX(), (float)ta.getY(), (float)ta.getZ()); } private Point3D transform(double x, double y, double z){ javafx.geometry.Point3D ta = a.transform(x,y,z); return new Point3D((float)ta.getX(), (float)ta.getY(), (float)ta.getZ()); } public Point3D unTransform(Point3D p){ try { javafx.geometry.Point3D ta = a.inverseTransform(p.x,p.y,p.z); return new Point3D((float)ta.getX(), (float)ta.getY(), (float)ta.getZ()); } catch (NonInvertibleTransformException ex) { System.out.println("p not invertible "+p); } return p; } private final AtomicInteger index = new AtomicInteger(); private final HashMap<String, Integer> map = new HashMap<>(); private int getMiddle(int v1, Point3D p1, int v2, Point3D p2){ String key = ""+Math.min(v1,v2)+"_"+Math.max(v1,v2); if(map.get(key)!=null){ return map.get(key); } listVertices.add(p1.add(p2).multiply(0.5f)); map.put(key,index.get()); return index.getAndIncrement(); } private int getMiddle(int v1, Point2D p1, int v2, Point2D p2){ String key = ""+Math.min(v1,v2)+"_"+Math.max(v1,v2); if(map.get(key)!=null){ return map.get(key); } texCoord1.add(p1.add(p2).multiply(0.5f)); map.put(key,index.get()); return index.getAndIncrement(); } }