package edu.berkeley.qfat;
import java.awt.*;
import java.util.*;
+import java.io.*;
import java.awt.event.*;
import javax.swing.*;
import javax.media.opengl.*;
import javax.media.opengl.glu.*;
import edu.berkeley.qfat.geom.*;
-import edu.berkeley.qfat.geom.HasBindingGroup;
import edu.wlu.cs.levy.CG.KDTree;
+import edu.berkeley.qfat.bind.*;
import edu.berkeley.qfat.geom.Point;
import com.infomatiq.jsi.IntProcedure;
+// EDGES RUN COUNTER-CLOCKWISE
+
public class Mesh implements Iterable<Mesh.T> {
public static final float EPSILON = (float)0.0001;
private RTree<T> triangles = new RTree<T>();
private PointSet<Vertex> vertices = new PointSet<Vertex>();
+ public boolean option_wireframe = false;
+ public boolean option_errorNormals = false;
+ public boolean option_selectable = true;
+
+ public void render(GL gl, Matrix m) { render(gl, m, false); }
+ public void render(GL gl, Matrix m, boolean noColor) {
+ if (option_wireframe) {
+ gl.glDisable(GL.GL_LIGHTING);
+ gl.glBegin(GL.GL_LINES);
+ if (!noColor) gl.glColor3f(1, 1, 1);
+ for (T t : this) {
+ // fixme used to be .goodp
+ m.times(t.e1().v1.p).glVertex(gl);
+ m.times(t.e1().v2.p).glVertex(gl);
+ m.times(t.e2().v1.p).glVertex(gl);
+ m.times(t.e2().v2.p).glVertex(gl);
+ m.times(t.e3().v1.p).glVertex(gl);
+ m.times(t.e3().v2.p).glVertex(gl);
+ }
+ gl.glEnd();
+ gl.glEnable(GL.GL_LIGHTING);
+ return;
+ }
+ for(T t : this) {
+ if (!noColor)
+ gl.glColor4f((float)(0.25+(0.05*t.color)),
+ (float)(0.25+(0.05*t.color)),
+ (float)(0.75+(0.05*t.color)),
+ (float)0.3);
+ /*
+ if (t.red) {
+ gl.glColor4f((float)(0.75+(0.05*t.color)),
+ (float)(0.25+(0.05*t.color)),
+ (float)(0.25+(0.05*t.color)),
+ (float)0.3);
+ }
+ */
+ t.glTriangle(gl, m);
+ }
+ if (option_errorNormals)
+ for(T t : this)
+ for(Mesh.Vertex p : new Mesh.Vertex[] { t.v1(), t.v2(), t.v3() }) {
+ if (p.ok) {
+ gl.glBegin(GL.GL_LINES);
+ if (!noColor)
+ gl.glColor3f(1, 1, 1);
+ p.p.glVertex(gl);
+ p.p.plus(p.norm().times((float)p.error()*10)).glVertex(gl);
+ gl.glEnd();
+ }
+ }
+ }
+
public boolean immutableVertices;
public Mesh error_against = null;
public double error = 0;
public float error() { return (float)error; }
public int size() { return vertices.size(); }
+ public int numTriangles() { return triangles.size(); }
public Iterable<Vertex> vertices() { return vertices; }
public Iterator<T> iterator() { return triangles.iterator(); }
}
+ public void subdivide() {
+ for (Vertex v : vertices()) v.original = true;
+ HashSet<E> edges = new HashSet<E>();
+ HashSet<E> flip = new HashSet<E>();
+ HashSet<T> tris = new HashSet<T>();
+ int count = 0;
+ for (T t : this) {
+ tris.add(t);
+ edges.add(t.e1());
+ edges.add(t.e2());
+ edges.add(t.e3());
+ count++;
+ }
+ System.out.println("triangles="+count);
+ count = 0;
+ for(E e : edges) {
+ if (e.destroyed || e.shattered) continue;
+ e.shatter().edge = true;
+ for(E ex : (Iterable<E>)e.getBoundPeers()) {
+ Vertex m = nearest(ex.midpoint());
+ m.edge = true;
+ E e3 = ex.v1.getE(m).next;
+ if (e3.v2.original)
+ flip.add(e3);
+ }
+ }
+
+ int i=0;
+
+ for(E e : flip) {
+ e.flip();
+ System.out.println("flip!");
+ i++;
+ }
+
+ System.out.println("count="+count);
+
+ rebindPoints();
+ HashSet<Vertex> verts = new HashSet<Vertex>();
+ for(Vertex v : vertices()) verts.add(v);
+ for (Vertex v : verts)
+ v.clearWish();
+ for (Vertex v : verts) {
+ if (v.edge) {
+ for(E e = v.e; e!=null; e=e.pair.next==v.e?null:e.pair.next) {
+ if (e.v2.original) {
+ v.wish(e.v2);
+ v.wish(e.v2);
+ v.wish(e.v2);
+ v.wish(e.v2);
+ }
+ }
+ for(E e = v.e; e!=null; e=e.pair.next==v.e?null:e.pair.next) {
+ for(E e2 = e.v2.e; e2!=null; e2=e2.pair.next==e.v2.e?null:e2.pair.next) {
+ if (e2.v2.original) {
+ v.wish(e.v2);
+ }
+ }
+ }
+ }
+ }
+ for (Vertex v : verts)
+ v.grantWish();
+ System.out.println("-------------------------------------------------------------------");
+ /*
+ for (Vertex v : verts) {
+ if (v.original) {
+ int n=0;
+ for(E e = v.e; e!=null; e=e.pair.next==v.e?null:e.pair.next) {
+ n++;
+ v.wish(e.midpoint());
+ v.wish(e.midpoint());
+ v.wish(e.next.pair.t.centroid());
+ }
+ v.avgWish();
+ v.wishes = 3;
+ for(int j=0; j<n-3; j++)
+ v.wish(v.getPoint());
+ }
+ }
+ for (Vertex v : verts)
+ v.avgWish();
+ for (Vertex v : verts)
+ v.grantWish();
+ */
+ }
+
// Vertexices //////////////////////////////////////////////////////////////////////////////
+
/** a vertex in the mesh */
- public final class Vertex extends HasQuadric implements Visitor {
+ public final class Vertex extends HasQuadric implements Visitor, HasPoint {
+ public void bindTo(Matrix bindingMatrix, HasBindingGroup other) {
+ bindTo(bindingMatrix, other, EPSILON);
+ }
+ public float getMaxX() { return getPoint().getMaxX(); }
+ public float getMinX() { return getPoint().getMinX(); }
+ public float getMaxY() { return getPoint().getMaxY(); }
+ public float getMinY() { return getPoint().getMinY(); }
+ public float getMaxZ() { return getPoint().getMaxZ(); }
+ public float getMinZ() { return getPoint().getMinZ(); }
+
public Point p, goodp;
public Point oldp;
E e; // some edge *leaving* this point
+ public boolean original = false;
+ public boolean edge = false;
+ public boolean face = false;
+
+ private int wishes = 0;
+ private Point wish = Point.ZERO;
+ public void clearWish() { wishes = 0; wish = Point.ZERO; }
+ public void wish(HasPoint hp) {
+ Point p = hp.getPoint();
+ wishes++;
+ wish = new Point(wish.x+p.x, wish.y+p.y, wish.z+p.z);
+ }
+ public void grantWish() {
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers()) {
+ if (v==this) continue;
+ if (v.wishes==0) continue;
+ Point p = this.getBindingMatrix(v).times(v.wish.minus(Point.ZERO).div(v.wishes).plus(Point.ZERO));
+ wish = p.minus(Point.ZERO).times(v.wishes).plus(wish);
+ wishes += v.wishes;
+ v.clearWish();
+ }
+ if (wishes==0) return;
+ Vec d = wish.minus(Point.ZERO).div(wishes).plus(Point.ZERO).minus(getPoint());
+ move(d, false);
+ clearWish();
+ }
+ public void avgWish() {
+ if (wishes==0) return;
+ wish = wish.minus(Point.ZERO).div(wishes).plus(Point.ZERO);
+ wishes = 1;
+ }
+
private boolean illegal = false;
public boolean visible = false;
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.t.reinsert();
}
+ // the average of all adjacent points
+ public Point recenter() {
+ int count = 0;
+ Vec vec = Vec.ZERO;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ vec = vec.plus(e.getOther(this).getPoint().minus(Point.ZERO));
+ count++;
+ }
+ return Point.ZERO.plus(vec.div(count));
+ }
+
public float olderror = 0;
public void setError(float nerror) {
error -= olderror;
error += olderror;
}
+ /*
+ public Vertex hack(GL gl, Point mouse) {
+ double dist = Double.MAX_VALUE;
+ Vertex cur = null;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ Vertex v = e.getOther(this);
+ double dist2 = v.getPoint().glProject(gl).distance(mouse);
+ if ((cur==null || dist2 < dist) && v.visible) {
+ dist = dist2;
+ cur = v;
+ }
+ }
+ return cur;
+ }
+ */
+
public float averageTriangleArea() {
int count = 0;
float ret = 0;
public HasQuadric nearest() { return error_against==null ? null : error_against.vertices.nearest(p, this); }
public void computeError() {
if (error_against==null) return;
+ if (nearest_in_other_mesh == null && nearest()==null) return;
float nerror =
nearest_in_other_mesh != null
? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p)
float minangle = (float)(Math.PI * 0.8);
//nerror += ((ang / Math.PI)*(ang/Math.PI)) * e.length() * 0.05;
- nerror += (1-e.t.quality())*0.0001;
+ //nerror += (1-e.t.quality())*0.0001;
if (ang > minangle) nerror += (ang - minangle);
//System.out.println(((ang / Math.PI)*(ang/Math.PI)) * 0.000001);
setError(nerror);
}
- public boolean move(Matrix m, boolean ignoreProblems) {
+ public boolean move(Vec vv, boolean ignoreProblems) {
boolean good = true;
// t1 = t1.getMatrix(t2) * t2
// M * t1 = M * t1.getMatrix(t2) * t2
+ /*
if (bindingGroup!=null && this != bindingGroup.getMaster()) {
- Matrix v = getBindingMatrix(bindingGroup.getMaster());
- return ((Vertex)bindingGroup.getMaster()).move(v.inverse().times(m).times(v), ignoreProblems);
+ Matrix m2 = getBindingMatrix(bindingGroup.getMaster());
+ Vec v2 = m2.times(vv.plus(getPoint())).minus(m2.times(getPoint()));
+ return ((Vertex)bindingGroup.getMaster()).move(v2, ignoreProblems);
}
+ */
- if (bindingGroup != null) {
- Matrix m2 = null;
- for(int i=0; i<20 && !m.equals(m2); i++) {
- m2 = m.times(getConstraint());
- //System.out.println(m.minus(m2));
- }
- if (!m.equals(m2)) return true;
- }
- ok = false;
Point op = this.p;
- Point pt = m.times(this.p);
+ Point pt = vv.plus(getPoint());
+ Point pp = pt;
+ pt = getBindingConstraint().getProjection(pp);
+ if (pt==null) {
+ System.out.println("constraint violation: " + getBindingConstraint());
+ return false;
+ }
+ System.out.println(pt.minus(pp).mag() + " " + getBindingConstraint());
+
for(Vertex v : (Iterable<Vertex>)getBoundPeers()) {
Point pt2 = v.getBindingMatrix(this).times(pt);
/*
unApplyQuadricToNeighbor();
-
boolean illegalbefore = illegal;
illegal = false;
/*
checkLegality();
}
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
- e.p2.quadricStale = true;
+ e.v2.quadricStale = true;
return !illegal || (illegalbefore && illegal);
}
if (nearest_in_other_mesh != null)
nearest_in_other_mesh.reComputeError();
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
- e.p2.reComputeError();
+ e.v2.reComputeError();
}
public boolean visit(Object o) {
T t = (T)o;
if (illegal) return false;
for(E e = Vertex.this.e; e!=null; e=e.pair.next==Vertex.this.e?null:e.pair.next) {
- if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { illegal = true; }
+ if (!t.has(e.v1) && !t.has(e.v2) && e.intersects(t)) { illegal = true; }
if (e.t != null) {
- if (!e.t.has(t.e1().p1) && !e.t.has(t.e1().p2) && t.e1().intersects(e.t)) { illegal = true; }
- if (!e.t.has(t.e2().p1) && !e.t.has(t.e2().p2) && t.e2().intersects(e.t)) { illegal = true; }
- if (!e.t.has(t.e3().p1) && !e.t.has(t.e3().p2) && t.e3().intersects(e.t)) { illegal = true; }
+ if (!e.t.has(t.e1().v1) && !e.t.has(t.e1().v2) && t.e1().intersects(e.t)) { illegal = true; }
+ if (!e.t.has(t.e2().v1) && !e.t.has(t.e2().v2) && t.e2().intersects(e.t)) { illegal = true; }
+ if (!e.t.has(t.e3().v1) && !e.t.has(t.e3().v2) && t.e3().intersects(e.t)) { illegal = true; }
}
}
return !illegal;
}
+ public E getEdge() { return e; }
public E getFreeIncident() {
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
public E getFreeIncident(E start, E before) {
for(E e = start; e!=null; e=e.pair.next==before?null:e.pair.next)
- if (e.pair.p2 == this && e.pair.t == null && e.pair.next.t == null)
+ if (e.pair.v2 == this && e.pair.t == null && e.pair.next.t == null)
return e.pair;
return null;
}
- public E getE(Point p2) {
- Vertex v = vertices.get(p2);
+ public E getE(Point v2) {
+ Vertex v = vertices.get(v2);
if (v==null) return null;
return getE(v);
}
- public E getE(Vertex p2) {
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
- if (e.p1 == this && e.p2 == p2) return e;
+ public E getE(Vertex v2) {
+ if (this.e!=null && this!=this.e.v1 && this!=this.e.v2) throw new RuntimeException();
+ int i=0;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ if (e.v1 == this && e.v2 == v2) return e;
+ i++;
+ e.sanity();
+ if (e.destroyed) throw new RuntimeException("fark " + i + " " + e.prev + " " + (e.prev.next==e) + " " + e.prev.destroyed);
+ }
return null;
}
/** [UNIQUE] an edge */
public final class E extends HasBindingGroup implements Comparable<E> {
- public final Vertex p1, p2;
+ public void bindTo(Matrix bindingMatrix, HasBindingGroup other) {
+ bindTo(bindingMatrix, other, EPSILON);
+ }
+
+ public void sanity() {
+ if (destroyed) return;
+ if (pair!=null && (pair.v1!=v2 || pair.v2!=v1)) throw new RuntimeException();
+ if (next!=null && next.v1!=v2) throw new RuntimeException();
+ if (prev!=null && prev.v2!=v1) throw new RuntimeException();
+ }
+
+ public final Vertex v1, v2;
T t; // triangle to our "left"
E prev; // previous half-edge
E next; // next half-edge
E pair; // partner half-edge
boolean shattered = false;
- public boolean intersects(T t) { return t.intersects(p1.p, p2.p); }
- public void bindingGroupChanged(edu.berkeley.qfat.geom.BindingGroup newBindingGroup_) {
+ /** the "edge normal" -- average of the normals of the adjacent faces */
+ public Vec norm() {
+ return
+ (t==null || pair==null || pair.t==null)
+ ? null
+ : t.norm().plus(pair.t.norm()).norm();
+ }
+
+ public void glVertices(GL gl) {
+ Point p1 = v1.p;
+ Point p2 = v2.p;
+ if (t != null) {
+ p1 = p1.plus(t.centroid().minus(p1).times(0.1f));
+ p2 = p2.plus(t.centroid().minus(p2).times(0.1f));
+ p1 = p1.plus(norm().times(length() * 0.01f));
+ p2 = p2.plus(norm().times(length() * 0.01f));
+ }
+ p1.glVertex(gl);
+ p2.glVertex(gl);
+ if (t==null || pair.t==null) return;
+
+ Point atip = p2.minus(Point.ZERO).times(4).plus(p1.minus(Point.ZERO)).div(5).plus(Point.ZERO);
+ atip = (t.norm().plus(pair.t.norm())).norm().times(getSegment().length() / 5).plus(atip);
+ p2.glVertex(gl);
+ atip.glVertex(gl);
+ }
+
+ public boolean intersects(T t) { return t.intersects(v1.p, v2.p); }
+
+ public Segment getSegment() { return new Segment(v1.getPoint(), v2.getPoint()); }
- edu.berkeley.qfat.geom.BindingGroup<E> newBindingGroup =
- (edu.berkeley.qfat.geom.BindingGroup<E>)newBindingGroup_;
- if (newBindingGroup==null) return;
- if (this==newBindingGroup.getMaster()) return;
+ public void flip() {
+ // FIXME: coplanarity check needed
+ if (destroyed) return;
+ for (E e : (Iterable<E>)getBoundPeers()) {
+ if (!e.pair.isBoundTo(pair)) throw new RuntimeException("cannot flip!");
+ }
+ Vertex v1 = t.getOtherVertex(this);
+ Vertex v2 = pair.t.getOtherVertex(pair);
+ destroy();
+ pair.destroy();
+ T t1 = newT(v1, v2, this.v2);
+ T t2 = newT(v2, v1, this.v1);
+ t1.e1().sanity();
+ t1.e2().sanity();
+ t1.e3().sanity();
+ t2.e1().sanity();
+ t2.e2().sanity();
+ t2.e3().sanity();
+
+ for (E e : (Iterable<E>)getBoundPeers()) {
+ if (e==this) continue;
+ if (e.destroyed) continue;
+ Vertex v1e = e.t.getOtherVertex(e);
+ Vertex v2e = e.pair.t.getOtherVertex(e.pair);
+ e.destroy();
+ e.pair.destroy();
+ if (v1e.getE(v2e)!=null) throw new RuntimeException();
+ newT(v1e, v2e, e.v2).red = true;
+ newT(v2e, v1e, e.v1).red = true;
+ v2e.getE(v1e).bindTo(e.getBindingMatrix(this), v1.getE(v2));
+ v1e.getE(v2e).bindTo(e.pair.getBindingMatrix(this.pair), v2.getE(v1));
+ }
+
+ }
+
+ public void bindingGroupChanged() {
HashSet<E> nbg = new HashSet<E>();
- for(E eother : (Iterable<E>)newBindingGroup) nbg.add(eother);
+ for(E eother : (Iterable<E>)getBoundPeers()) nbg.add(eother);
for(E eother : nbg) {
if (next==null || prev==null) continue;
if (eother.next==null || eother.prev==null) continue;
- if (next.isBoundTo(eother.pair.prev.pair) && !prev.isBoundTo(eother.pair.next.pair))
- prev.bindTo(next.getBindingMatrix(eother.pair.prev.pair), eother.pair.next.pair);
- if (!next.isBoundTo(eother.pair.prev.pair) && prev.isBoundTo(eother.pair.next.pair))
- next.bindTo(prev.getBindingMatrix(eother.pair.next.pair), eother.pair.prev.pair);
+ Matrix m = getBindingMatrix(eother);
+ if (next.isBoundTo(eother.pair.prev.pair) &&
+ !prev.isBoundTo(eother.pair.next.pair) &&
+ m.equalsModuloEpsilon(next.getBindingMatrix(eother.pair.prev.pair), EPSILON))
+ prev.bindEdge(next.getBindingMatrix(eother.pair.prev.pair), eother.pair.next.pair);
+ if (!next.isBoundTo(eother.pair.prev.pair) &&
+ prev.isBoundTo(eother.pair.next.pair) &&
+ m.equalsModuloEpsilon(prev.getBindingMatrix(eother.pair.next.pair), EPSILON))
+ next.bindEdge(prev.getBindingMatrix(eother.pair.next.pair), eother.pair.prev.pair);
+
+ //if (next.isBoundTo(eother.prev) && !prev.isBoundTo(eother.next))
+ //prev.bindTo(next.getBindingMatrix(eother.prev), eother.next);
+ //if (!next.isBoundTo(eother.prev) && prev.isBoundTo(eother.next))
+ //next.bindTo(prev.getBindingMatrix(eother.next), eother.prev);
+
+ if (next.isBoundTo(eother.next) &&
+ !prev.isBoundTo(eother.prev) &&
+ m.equalsModuloEpsilon(next.getBindingMatrix(eother.next), EPSILON))
+ prev.bindEdge(next.getBindingMatrix(eother.next), eother.prev);
+ if (!next.isBoundTo(eother.next) &&
+ prev.isBoundTo(eother.prev) &&
+ m.equalsModuloEpsilon(prev.getBindingMatrix(eother.prev), EPSILON))
+ next.bindEdge(prev.getBindingMatrix(eother.prev), eother.next);
- /*
- if (next.isBoundTo(eother.prev) && !prev.isBoundTo(eother.next))
- prev.bindTo(next.getBindingMatrix(eother.prev), eother.next);
- if (!next.isBoundTo(eother.prev) && prev.isBoundTo(eother.next))
- next.bindTo(prev.getBindingMatrix(eother.next), eother.prev);
- */
- if (next.isBoundTo(eother.next) && !prev.isBoundTo(eother.prev))
- prev.bindTo(next.getBindingMatrix(eother.next), eother.prev);
- if (!next.isBoundTo(eother.next) && prev.isBoundTo(eother.prev))
- next.bindTo(prev.getBindingMatrix(eother.prev), eother.next);
}
}
Vertex nearest = error_against.nearest(midpoint());
float nearest_distance = midpoint().distance(nearest.p);
float other_distance =
- (p1.p.distance(error_against.nearest(p1.p).p)+
- p2.p.distance(error_against.nearest(p2.p).p))/2;
+ (v1.p.distance(error_against.nearest(v1.p).p)+
+ v2.p.distance(error_against.nearest(v2.p).p))/2;
return nearest_distance/other_distance;
}
public float comparator() {
public int compareTo(E e) {
return e.comparator() > comparator() ? 1 : -1;
}
- public void bindEdge(E e, Matrix m) {
- _bindEdge(e, m);
- pair._bindEdge(e.pair, m);
+ public void bindEdge(Matrix m, E e) {
+ bindEdge(e, m);
}
- public void _bindEdge(E e, Matrix m) {
- e = e.pair;
- /*
- //assumes edges are identical length at binding time
- Vec reflectionPlaneNormal = e.p2.p.minus(e.p1.p).norm();
- float a = reflectionPlaneNormal.x;
- float b = reflectionPlaneNormal.y;
- float c = reflectionPlaneNormal.z;
- Matrix reflectionMatrix =
- new Matrix( 1-2*a*a, -2*a*b, -2*a*c, 0,
- -2*a*b, 1-2*b*b, -2*b*c, 0,
- -2*a*c, -2*b*c, 1-2*c*c, 0,
- 0, 0, 0, 1);
- m = m.times(Matrix.translate(e.midpoint().minus(Point.ORIGIN))
- .times(reflectionMatrix)
- .times(Matrix.translate(Point.ORIGIN.minus(e.midpoint()))));
- System.out.println(reflectionPlaneNormal);
- System.out.println(" " + p1.p + " " + m.times(e.p1.p));
- System.out.println(" " + p2.p + " " + m.times(e.p2.p));
- */
+ public void bindEdge(E e, Matrix m) {
/*
- if (m.times(e.p1.p).minus(p1.p).mag() > EPSILON) throw new Error();
- if (m.times(e.p2.p).minus(p2.p).mag() > EPSILON) throw new Error();
+ for(E e_ : (Iterable<E>)e.getBoundPeers()) {
+ if (e.v1.getPoint().distance((e.getBindingMatrix(e_).times(e_.v1.getPoint()))) > 0.01f)
+ throw new RuntimeException("blah! " + e.v1.getPoint() + " " + e.getBindingMatrix(e_).times(e_.v1.getPoint()));
+ if (e.v2.getPoint().distance((e.getBindingMatrix(e_).times(e_.v2.getPoint()))) > 0.01f)
+ throw new RuntimeException("blah! " + e.v2.getPoint() + " " + e.getBindingMatrix(e_).times(e_.v2.getPoint()));
+ if (v1.getPoint().distance(m.times(e.getBindingMatrix(e_).times(e_.v1.getPoint()))) > 0.01f)
+ throw new RuntimeException("blah! " + v1.getPoint() + " " + m.times(e_.v1.getPoint()));
+ if (v2.getPoint().distance(m.times(e.getBindingMatrix(e_).times(e_.v2.getPoint()))) > 0.01f)
+ throw new RuntimeException("blah! " + v2.getPoint() + " " + m.times(e_.v2.getPoint()));
+ }
*/
- this.bindTo(m, e);
+ this.bindTo(m, e, EPSILON);
+ this.pair.bindTo(m, e.pair, EPSILON);
}
public void dobind() {
for(E e : (Iterable<E>)getBoundPeers()) {
if (e==this) continue;
- p1.bindTo(getBindingMatrix(e), e.p1);
- p2.bindTo(getBindingMatrix(e), e.p2);
- e.p1.setConstraint(getConstraint());
- e.p2.setConstraint(getConstraint());
+ v1.bindTo(getBindingMatrix(e), e.v1);
+ v2.bindTo(getBindingMatrix(e), e.v2);
}
}
- public Point shatter() {
- if (shattered || destroyed) return null;
+ public Vertex shatter() {
+ if (shattered || destroyed) return nearest(midpoint());
shattered = true;
E first = null;
E firste = null;
E pnext = e.pair.next;
E pprev = e.pair.prev;
Point mid = e.midpoint();
- Vertex r = e.next.p2;
- Vertex l = e.pair.next.p2;
+ Vertex r = e.next.v2;
+ Vertex l = e.pair.next.v2;
if (!e.destroyed) {
e.destroy();
e.pair.destroy();
- newT(r.p, e.p1.p, mid, null, 0);
- newT(r.p, mid, e.p2.p, null, 0);
- newT(l.p, mid, e.p1.p, null, 0);
- newT(l.p, e.p2.p, mid, null, 0);
+ newT(r.p, e.v1.p, mid, null, 0);
+ newT(r.p, mid, e.v2.p, null, 0);
+ newT(l.p, mid, e.v1.p, null, 0);
+ newT(l.p, e.v2.p, mid, null, 0);
}
}
for(E e : (Iterable<E>)getBoundPeers()) {
Point mid = e.midpoint();
if (first==null) {
- first = e.p1.getE(mid);
+ first = e.v1.getE(mid);
firste = e;
firstx = e.pair;
- firstq = e.p2.getE(mid).pair;
+ firstq = e.v2.getE(mid).pair;
continue;
}
- e.p1.getE(mid). bindTo(e.getBindingMatrix(firste), first);
- e.p1.getE(mid).pair. bindTo(e.getBindingMatrix(firste), first.pair);
- e.p2.getE(mid).pair. bindTo(e.getBindingMatrix(firste), firstq);
- e.p2.getE(mid).pair.pair.bindTo(e.getBindingMatrix(firste), firstq.pair);
+ e.v1.getE(mid). bindTo(e.getBindingMatrix(firste), first);
+ e.v1.getE(mid).pair. bindTo(e.getBindingMatrix(firste), first.pair);
+ e.v2.getE(mid).pair. bindTo(e.getBindingMatrix(firste), firstq);
+ e.v2.getE(mid).pair.pair.bindTo(e.getBindingMatrix(firste), firstq.pair);
}
/*
- first.setConstraint(firste.getConstraint());
- firstq.setConstraint(firste.getConstraint());
+ first.setConstraint(firste.getAffineConstraint());
+ firstq.setConstraint(firste.getAffineConstraint());
*/
- return null;
+ return nearest(midpoint());
}
public boolean destroyed = false;
pair.prev.next = next;
next.prev = pair.prev;
prev.next = pair.next;
- pair.next = prev;
- if (p1.e == this) p1.e = prev.next;
- if (pair.p1.e == pair) pair.p1.e = pair.prev.next;
+ pair.next.prev = prev;
+
+ if (v1.e == this) v1.e = pair.next;
+ if (pair.v1.e == pair) pair.v1.e = next;
+
+ if (v2.e == this) throw new RuntimeException();
+ if (pair.v2.e == pair) throw new RuntimeException();
+
+ /*
+ next = pair;
+ prev = pair;
+ pair.next = this;
+ pair.prev = this;
+ */
+
+ /*
+ pair.prev = null;
+ pair.next = null;
+ next = null;
+ prev = null;
+ */
+
+ /*
+ sanity();
+ next.sanity();
+ prev.sanity();
+ pair.sanity();
+ */
}
private void sync() {
this.prev.next = this;
this.next.prev = this;
this.pair.pair = this;
- if (this.next.p1 != p2) throw new Error();
- if (this.prev.p2 != p1) throw new Error();
- if (this.p1.e == null) this.p1.e = this;
+ if (this.next.v1 != v2) throw new Error();
+ if (this.prev.v2 != v1) throw new Error();
+ if (this.v1.e == null) this.v1.e = this;
if (!added) added = true;
}
private boolean added = false;
/** angle between this half-edge and the next */
public double angle() {
- Vec v1 = next.p2.p.minus(p2.p);
- Vec v2 = this.p1.p.minus(p2.p);
+ Vec v1 = next.v2.p.minus(this.v2.p);
+ Vec v2 = this.v1.p.minus(this.v2.p);
return Math.acos(v1.norm().dot(v2.norm()));
}
+ public Vertex getOther(Vertex v) {
+ if (this.v1 == v) return v2;
+ if (this.v2 == v) return v1;
+ throw new Error();
+ }
+
public void makeAdjacent(E e) {
if (this.next == e) return;
- if (p2 != e.p1) throw new Error("cannot make adjacent -- no shared vertex");
- if (t != null || e.t != null) throw new Error("cannot make adjacent -- edges not both free ");
+ if (v2 != e.v1) throw new Error("cannot make adjacent -- no shared vertex: " + this + " " + e);
+ if (t != null || e.t != null) throw new Error("cannot make adjacent -- edges not both free " + t + " " + e.t);
- E freeIncident = p2.getFreeIncident(e, this);
+ E freeIncident = v2.getFreeIncident(e, this);
e.prev.next = freeIncident.next;
freeIncident.next.prev = e.prev;
}
/** creates an isolated edge out in the middle of space */
- public E(Point p1, Point p2) {
- if (vertices.get(p1) != null) throw new Error();
- if (vertices.get(p2) != null) throw new Error();
- this.p1 = new Vertex(p1);
- this.p2 = new Vertex(p2);
+ public E(Point v1, Point v2) {
+ if (vertices.get(v1) != null) throw new Error();
+ if (vertices.get(v2) != null) throw new Error();
+ if (v1.equals(v2)) throw new Error("attempt to create a zero-length edge!");
+ this.v1 = new Vertex(v1);
+ this.v2 = new Vertex(v2);
this.prev = this.next = this.pair = new E(this, this, this);
- this.p1.e = this;
- this.p2.e = this.pair;
+ this.v1.e = this;
+ this.v2.e = this.pair;
sync();
}
- /** adds a new half-edge from prev.p2 to p2 */
+ /** adds a new half-edge from prev.v2 to v2 */
public E(E prev, Point p) {
- Vertex p2;
- p2 = vertices.get(p);
- if (p2 == null) p2 = new Vertex(p);
- this.p1 = prev.p2;
- this.p2 = p2;
+ Vertex v2;
+ v2 = vertices.get(p);
+ if (v2 == null) v2 = new Vertex(p);
+ this.v1 = prev.v2;
+ this.v2 = v2;
this.prev = prev;
- if (p2.getE(p1) != null) throw new Error();
- if (p2.e==null) {
+ if (prev.destroyed) throw new RuntimeException();
+ if (v2.getE(v1) != null) throw new Error();
+ if (v2.e==null) {
this.next = this.pair = new E(this, this, prev.next);
} else {
- E q = p2.getFreeIncident();
+ E q = v2.getFreeIncident();
this.next = q.next;
this.next.prev = this;
E z = prev.next;
this.prev.next = this;
this.pair = new E(q, this, z);
}
- if (p2.e==null) p2.e = this.pair;
+ if (v2.e==null) v2.e = this.pair;
sync();
}
/** adds a new half-edge to the mesh with a given predecessor, successor, and pair */
public E(E prev, E pair, E next) {
- this.p1 = prev.p2;
- this.p2 = next.p1;
+ this.v1 = prev.v2;
+ this.v2 = next.v1;
+ if (prev.destroyed) throw new RuntimeException();
this.prev = prev;
this.next = next;
this.pair = pair;
sync();
}
- public Point midpoint() { return new Point((p1.p.x+p2.p.x)/2, (p1.p.y+p2.p.y)/2, (p1.p.z+p2.p.z)/2); }
- public boolean has(Vertex v) { return v==p1 || v==p2; }
- public float length() { return p1.p.minus(p2.p).mag(); }
- public String toString() { return p1+"->"+p2; }
+ public Point midpoint() { return new Point((v1.p.x+v2.p.x)/2, (v1.p.y+v2.p.y)/2, (v1.p.z+v2.p.z)/2); }
+ public boolean has(Vertex v) { return v==v1 || v==v2; }
+ public float length() { return v1.p.minus(v2.p).mag(); }
+ public String toString() { return v1+"->"+v2; }
}
private static float round(float f) {
return Math.round(f*1000)/1000f;
}
- public T newT(Point p1, Point p2, Point p3, Vec norm, int colorclass) {
+ public T newT(HasPoint v1, HasPoint v2, HasPoint v3) {
+ return newT(v1.getPoint(), v2.getPoint(), v3.getPoint(), null, 0);
+ }
+ public T newT(Point v1, Point v2, Point v3, Vec norm) { return newT(v1, v2, v3, norm, 1); }
+ public T newT(Point v1, Point v2, Point v3, Vec norm, int colorclass) {
if (coalesce) {
- for(Vertex v : vertices) { if (p1.distance(v.p) < EPSILON) { p1 = v.p; break; } }
- for(Vertex v : vertices) { if (p2.distance(v.p) < EPSILON) { p2 = v.p; break; } }
- for(Vertex v : vertices) { if (p3.distance(v.p) < EPSILON) { p3 = v.p; break; } }
+ for(Vertex v : vertices) { if (v1.distance(v.p) < EPSILON) { v1 = v.p; break; } }
+ for(Vertex v : vertices) { if (v2.distance(v.p) < EPSILON) { v2 = v.p; break; } }
+ for(Vertex v : vertices) { if (v3.distance(v.p) < EPSILON) { v3 = v.p; break; } }
/*
- p1 = new Point(round(p1.x), round(p1.y), round(p1.z));
- p2 = new Point(round(p2.x), round(p2.y), round(p2.z));
- p3 = new Point(round(p3.x), round(p3.y), round(p3.z));
+ v1 = new Point(round(v1.x), round(v1.y), round(v1.z));
+ v2 = new Point(round(v2.x), round(v2.y), round(v2.z));
+ v3 = new Point(round(v3.x), round(v3.y), round(v3.z));
*/
}
if (norm != null) {
- Vec norm2 = p3.minus(p1).cross(p2.minus(p1));
+ Vec norm2 = v3.minus(v1).cross(v2.minus(v1));
float dot = norm.dot(norm2);
//if (Math.abs(dot) < EPointSILON) throw new Error("dot products within evertsilon of each other: "+norm+" "+norm2);
- if (dot < 0) { Point p = p1; p1=p2; p2 = p; }
+ if (dot < 0) { Point p = v1; v1=v2; v2 = p; }
}
- E e12 = makeE(p1, p2);
- E e23 = makeE(p2, p3);
- E e31 = makeE(p3, p1);
+ E e12 = makeE(v1, v2);
+ E e23 = makeE(v2, v3);
+ E e31 = makeE(v3, v1);
while(e12.next != e23 || e23.next != e31 || e31.next != e12) {
e12.makeAdjacent(e23);
e23.makeAdjacent(e31);
public final int color;
public final int colorclass;
+ public boolean red = false;
+ public boolean old = false;
+
public final int serial = max_serial++;
public boolean occluded;
+ public Point shatter() {
+ if (destroyed) return null;
+ E e = e1();
+
+ HashSet<E> forward = new HashSet<E>();
+ HashSet<E> backward = new HashSet<E>();
+ HashSet<E> both = new HashSet<E>();
+
+ for(E eb : (Iterable<E>)e.getBoundPeers()) {
+ if (eb==e) continue;
+ if (eb.next.isBoundTo(e.next) && eb.prev.isBoundTo(e.prev)) {
+ forward.add(eb);
+ both.add(eb);
+ }
+ if (eb.pair.next.pair.isBoundTo(e.prev) && eb.pair.prev.pair.isBoundTo(e.next)) {
+ backward.add(eb.pair);
+ both.add(eb.pair);
+ }
+ }
+
+ Vertex v1 = e.t.v1();
+ Vertex v2 = e.t.v2();
+ Vertex v3 = e.t.v3();
+ Point c = e.t.centroid();
+ E e_next = e.next;
+ E e_prev = e.prev;
+ e.t.destroy();
+ newT(v1, v2, c);
+ newT(c, v2, v3);
+ newT(v3, v1, c);
+
+ // FIXME: forward too
+ for(E ex : backward) {
+ Vertex v1x = ex.t.v1();
+ Vertex v2x = ex.t.v2();
+ Vertex v3x = ex.t.v3();
+ Point cx = ex.t.centroid();
+ E ex_next = ex.next;
+ E ex_prev = ex.prev;
+ ex.t.destroy();
+ newT(v1x, v2x, cx);
+ newT(cx, v2x, v3x);
+ newT(v3x, v1x, cx);
+
+ // FIXME: i have no idea if this is right
+ e.next.bindTo(e.getBindingMatrix(ex.pair), ex.prev);
+ e.prev.bindTo(e.getBindingMatrix(ex.pair), ex.next);
+ e.next.pair.bindTo(e.getBindingMatrix(ex.pair), ex.prev.pair);
+ e.prev.pair.bindTo(e.getBindingMatrix(ex.pair), ex.next.pair);
+
+ e_next.next.bindTo(e_next.getBindingMatrix(ex_prev.pair), ex_prev.prev.pair);
+ e_next.prev.bindTo(e_next.getBindingMatrix(ex_prev.pair), ex_prev.next.pair);
+
+ e_prev.next.bindTo(e_prev.getBindingMatrix(ex_next.pair), ex_next.prev.pair);
+ e_prev.prev.bindTo(e_prev.getBindingMatrix(ex_next.pair), ex_next.next.pair);
+ }
+
+ /*
+
+ E first = null;
+ E firste = null;
+ E firstx = null;
+ E firstq = null;
+ for(E e : (Iterable<E>)getBoundPeers()) {
+ E enext = e.next;
+ E eprev = e.prev;
+ E pnext = e.pair.next;
+ E pprev = e.pair.prev;
+ Point mid = e.midpoint();
+ Vertex r = e.next.v2;
+ Vertex l = e.pair.next.v2;
+ if (!e.destroyed) {
+ e.destroy();
+ e.pair.destroy();
+ newT(r.p, e.v1.p, mid, null, 0);
+ newT(r.p, mid, e.v2.p, null, 0);
+ newT(l.p, mid, e.v1.p, null, 0);
+ newT(l.p, e.v2.p, mid, null, 0);
+ }
+ }
+ for(E e : (Iterable<E>)getBoundPeers()) {
+ Point mid = e.midpoint();
+ if (first==null) {
+ first = e.v1.getE(mid);
+ firste = e;
+ firstx = e.pair;
+ firstq = e.v2.getE(mid).pair;
+ continue;
+ }
+ e.v1.getE(mid). bindTo(e.getBindingMatrix(firste), first);
+ e.v1.getE(mid).pair. bindTo(e.getBindingMatrix(firste), first.pair);
+ e.v2.getE(mid).pair. bindTo(e.getBindingMatrix(firste), firstq);
+ e.v2.getE(mid).pair.pair.bindTo(e.getBindingMatrix(firste), firstq.pair);
+ }
+ */
+ /*
+ first.setConstraint(firste.getAffineConstraint());
+ firstq.setConstraint(firste.getAffineConstraint());
+ */
+ return null;
+ }
+
+
T(E e1, int colorclass) {
this.e1 = e1;
E e2 = e1.next;
public E e1() { return e1; }
public E e2() { return e1.next; }
public E e3() { return e1.prev; }
- public Vertex v1() { return e1.p1; }
- public Vertex v2() { return e1.p2; }
- public Vertex v3() { return e1.next.p2; }
- public Point p1() { return e1.p1.p; }
- public Point p2() { return e1.p2.p; }
- public Point p3() { return e1.next.p2.p; }
+ public Vertex v1() { return e1.v1; }
+ public Vertex v2() { return e1.v2; }
+ public Vertex v3() { return e1.next.v2; }
+ public Point p1() { return e1.v1.p; }
+ public Point p2() { return e1.v2.p; }
+ public Point p3() { return e1.next.v2.p; }
public boolean hasE(E e) { return e1==e || e1.next==e || e1.prev==e; }
public boolean has(Vertex v) { return v1()==v || v2()==v || v3()==v; }
+ public Vertex getOtherVertex(E e) {
+ if (!hasE(e)) throw new RuntimeException();
+ if (!e.has(v1())) return v1();
+ if (!e.has(v2())) return v2();
+ if (!e.has(v3())) return v3();
+ throw new RuntimeException();
+ }
+
public void removeFromRTree() { triangles.remove(this); }
public void addToRTree() { triangles.insert(this); }
- public void destroy() { triangles.remove(this); }
+ public void destroy() {
+ if (e1 != null) {
+ e1.t = null;
+ e1.next.t = null;
+ e1.prev.t = null;
+ }
+ triangles.remove(this);
+ destroyed = true;
+ }
public void reinsert() { triangles.remove(this); triangles.add(this); }
- public boolean shouldBeDrawn() {
-
- if (e1().bindingGroupSize() <= 1) return false;
- if (e2().bindingGroupSize() <= 1) return false;
- if (e3().bindingGroupSize() <= 1) return false;
+ private boolean destroyed = false;
+ public boolean destroyed() { return destroyed; }
+ public boolean shouldBeDrawn() {
+ if (e1().bindingGroupUnconstrained()) return false;
+ if (e2().bindingGroupUnconstrained()) return false;
+ if (e3().bindingGroupUnconstrained()) return false;
return true;
}
super.glVertices(gl, m);
}
}
+
+ // Dump /////////////////////////////////////////////////////////////////////////////
+
+ public void dump(OutputStream os) throws IOException {
+ PrintWriter pw = new PrintWriter(new OutputStreamWriter(os));
+ pw.println("solid dump");
+ for(Mesh.T t : this) {
+ Vec normal = t.norm();
+ pw.println("facet normal " + normal.x + " " + normal.y + " " + normal.z);
+ pw.println(" outer loop");
+ for(Mesh.Vertex v : new Mesh.Vertex[] { t.v1(), t.v2(), t.v3() }) {
+ pw.println(" vertex " + v.p.x + " " + v.p.y + " " + v.p.z);
+ }
+ pw.println(" endloop");
+ pw.println("endfacet");
+ }
+ pw.println("endsolid dump");
+ pw.flush();
+ }
+
}