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/**
* IcosahedronMesh.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.FloatProperty;
import javafx.beans.property.IntegerProperty;
import javafx.beans.property.SimpleFloatProperty;
import javafx.beans.property.SimpleIntegerProperty;
import javafx.geometry.Point2D;
import javafx.scene.DepthTest;
import javafx.scene.shape.CullFace;
import javafx.scene.shape.DrawMode;
import javafx.scene.shape.TriangleMesh;
import org.fxyz3d.geometry.Point3D;
import org.fxyz3d.collections.FloatCollector;
import org.fxyz3d.geometry.Face3;
/**
*
* @author jpereda
*/
public class IcosahedronMesh extends TexturedMesh {
private final static int DEFAULT_LEVEL = 1;
private final static float SPHERE_DIAMETER = 1f;
public IcosahedronMesh(){
this(SPHERE_DIAMETER, DEFAULT_LEVEL);
}
public IcosahedronMesh(int level){
this(SPHERE_DIAMETER, level);
}
public IcosahedronMesh(float diameter){
this(diameter, DEFAULT_LEVEL);
}
public IcosahedronMesh(float diameter, int level){
setLevel(level);
setDiameter(diameter);
updateMesh();
setCullFace(CullFace.BACK);
setDrawMode(DrawMode.FILL);
setDepthTest(DepthTest.ENABLE);
}
@Override
protected final void updateMesh(){
setMesh(null);
mesh=createSphere(diameter.get(),level.get());
setMesh(mesh);
}
private final FloatProperty diameter = new SimpleFloatProperty(SPHERE_DIAMETER){
@Override
protected void invalidated() {
if(mesh!=null){
updateMesh();
//updateVertices(f1.floatValue()/f0.floatValue());
}
}
};
public final float getDiameter() {
return diameter.get();
}
public final void setDiameter(float value) {
diameter.set(value);
}
public final FloatProperty diameterProperty() {
return diameter;
}
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;
}
/*
ICOSAHEDRON
*/
private final float[] baseVertices = new float[]{
-0.525731f, 0.850651f, 0.f,
0.525731f, 0.850651f, 0.f,
-0.525731f, -0.850651f, 0.f,
0.525731f, -0.850651f, 0.f,
0.f, -0.525731f, 0.850651f,
0.f, 0.525731f, 0.850651f,
0.f, -0.525731f, -0.850651f,
0.f, 0.525731f, -0.850651f,
0.850651f, 0.f, -0.525731f,
0.850651f, 0.f, 0.525731f,
-0.850651f, 0.f, -0.525731f,
-0.850651f, 0.f, 0.525731f
};
private final float[] baseTexCoords = new float[]{
0.181818f, 0f, 0.363636f, 0f,
0.545455f, 0f, 0.727273f, 0f,
0.909091f, 0f, 0.0909091f, 0.333333f,
0.272727f, 0.333333f, 0.454545f, 0.333333f,
0.636364f, 0.333333f, 0.818182f, 0.333333f,
1f, 0.333333f, 0f, 0.666667f,
0.181818f, 0.666667f, 0.363636f, 0.666667f,
0.545455f, 0.666667f, 0.727273f, 0.666667f,
0.909091f, 0.666667f, 0.0909091f, 1f,
0.272727f, 1f, 0.454545f, 1f,
0.636364f, 1f, 0.818182f, 1f
};
private final int[] baseTexture = new int[]{
5,11,12, 5,12,6, 5,6,0, 10,4,9,
10,9,16, 6,12,13, 12,11,17, 16,9,15,
9,3,8, 1,6,7, 14,13,19, 14,20,15,
14,15,8, 14,8,7, 14,7,13, 18,13,12,
15,21,16, 8,15,9, 7,8,2, 13,7,6
};
private final List baseFaces = Arrays.asList(
0,11,5, 0,5,1, 0,1,7, 0,7,10,
0,10,11, 1,5,9, 5,11,4, 11,10,2,
10,7,6, 7,1,8, 3,9,4, 3,4,2,
3,2,6, 3,6,8, 3,8,9, 4,9,5,
2,4,11, 6,2,10, 8,6,7, 9,8,1
);
/*
ICOSPHERE
*/
private int numVertices, numTexCoords, numFaces;
private float[] points0, texCoord0;
private int[] faces0;
private List texCoord1;
private TriangleMesh createSphere(float diameter, int level) {
TriangleMesh m0=null;
if(level>0){
m0= createSphere(diameter, level-1);
}
// read vertices from level-1
if(level==0){
points0 = baseVertices;
numVertices=baseVertices.length/3;
} else if(m0!=null) {
points0=new float[numVertices*m0.getPointElementSize()];
m0.getPoints().toArray(points0);
}
List points1 = IntStream.range(0, numVertices)
.mapToObj(i -> new Point3D(points0[3*i], points0[3*i+1], points0[3*i+2]))
.collect(Collectors.toList());
// read textures from level -1
if(level==0){
texCoord0 = baseTexCoords;
numTexCoords=baseTexCoords.length/2;
} else if(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());
// read faces from level -1
if(level==0){
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){
faces0=new int[numFaces*m0.getFaceElementSize()];
m0.getFaces().toArray(faces0);
}
List 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 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(Math.PI*diameter);
areaMesh.setHeight(Math.PI*diameter);
rectMesh.setWidth((int)Math.sqrt(texCoord0.length));
rectMesh.setHeight(texCoord0.length/((int)Math.sqrt(texCoord0.length)));
}
return createMesh();
}
private final AtomicInteger index = new AtomicInteger();
private final HashMap 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).normalize());
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();
}
}
