X-Git-Url: http://git.megacz.com/?p=anneal.git;a=blobdiff_plain;f=src%2Fedu%2Fberkeley%2Fqfat%2FMesh.java;h=0d7a96a33ac435988580507c48fa189522a46625;hp=264e379d1e01ce2b2befa23ebe07f55a71dc03a1;hb=5f15a6155bf7fbf2d62b3ab9fd992a54af10a95a;hpb=20989b5562ed9a4b438db2da8a4c2c3b9a05801d diff --git a/src/edu/berkeley/qfat/Mesh.java b/src/edu/berkeley/qfat/Mesh.java index 264e379..0d7a96a 100644 --- a/src/edu/berkeley/qfat/Mesh.java +++ b/src/edu/berkeley/qfat/Mesh.java @@ -6,53 +6,31 @@ 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.geom.Point; +import com.infomatiq.jsi.IntProcedure; public class Mesh implements Iterable { public static final float EPSILON = (float)0.0001; public static final Random random = new Random(); - private PointSet pointset = new PointSet(); - - public Iterable vertices() { return pointset; } - - public Iterable edges() { - return - new Iterable() { - public Iterator iterator() { - // HACK - HashSet hse = new HashSet(); - for(T t : Mesh.this) { - hse.add(t.e1()); - hse.add(t.e2()); - hse.add(t.e3()); - hse.add(t.e1().pair); - hse.add(t.e2().pair); - hse.add(t.e3().pair); - } - return hse.iterator(); - } }; - } + private RTree triangles = new RTree(); + private PointSet vertices = new PointSet(); - public Iterator iterator() { - /* - for(Vert v : pointset) - if (v.e != null && v.e.t != null) - return new FaceIterator(v); - return new FaceIterator(); - */ - return ts.iterator(); - } - public HashSet ts = new HashSet(); + public boolean immutableVertices; + public Mesh error_against = null; + public double error = 0; - public Mesh score_against = null; - public double score = 0; - public float score() { return (float)score; } + public Mesh(boolean immutableVertices) { this.immutableVertices = immutableVertices; } - public int numedges = 0; - public float avgedge = 0; + public void makeVerticesImmutable() { this.immutableVertices = true; } + public float error() { return (float)error; } + + public int size() { return vertices.size(); } + public Iterable vertices() { return vertices; } + public Iterator iterator() { return triangles.iterator(); } public void rebindPoints() { // unbind all points @@ -67,47 +45,21 @@ public class Mesh implements Iterable { t.e2().dobind(); t.e3().dobind(); } - } - - public void unApplyQuadricToNeighborAll() { - HashSet done = new HashSet(); - for(T t : this) - for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) { - if (done.contains(p)) continue; - done.add(p); - p.unApplyQuadricToNeighbor(); - } - } - public void recomputeAllFundamentalQuadrics() { - HashSet done = new HashSet(); - for(T t : this) - for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) { - if (done.contains(p)) continue; - done.add(p); - p.recomputeFundamentalQuadric(); - } - } - public float applyQuadricToNeighborAll() { - int num = 0; - double dist = 0; - HashSet done = new HashSet(); - for(T t : this) - for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) { - if (done.contains(p)) continue; - done.add(p); - p.applyQuadricToNeighbor(); - - } - return (float)(dist/num); + System.out.println("rebound!"); } public void transform(Matrix m) { - ArrayList set = new ArrayList(); - for (Vert v : pointset) - set.add(v); - for(Vert v : set) v.transform(m); + ArrayList set = new ArrayList(); + for(Vertex v : vertices) set.add(v); + for(Vertex v : set) v.transform(m.times(v.p), true, null); } + public void rebuild() { /*vertices.rebuild();*/ } + public Vec diagonal() { return vertices.diagonal(); } + public Point centroid() { return vertices.centroid(); } + public Vertex nearest(Point p) { return vertices.nearest(p); } + + /** compute the volume of the mesh */ public float volume() { double total = 0; for(T t : this) { @@ -120,388 +72,367 @@ public class Mesh implements Iterable { return (float)total; } - public void rebuildPointSet() { pointset.rebuild(); } - public Vec diagonal() { return pointset.diagonal(); } - public Point centroid() { return pointset.centroid(); } - public Vert nearest(Point p) { return pointset.nearest(p); } - public final class Vert extends HasPoint { - public String toString() { return p.toString(); } - public Point p; - E e; // some edge *leaving* this point + // Vertexices ////////////////////////////////////////////////////////////////////////////// - /** the nearest vertex in the "score_against" mesh */ - Vert nearest_in_other_mesh; - /** the number of vertices in the other mesh for which this is the nearest_in_other_mesh */ - int quadric_count; - /** the total error quadric (contributions from all vertices in other mesh for which this is nearest) */ - Matrix quadric = Matrix.ZERO; + /** a vertex in the mesh */ + public final class Vertex extends HasQuadric implements Visitor { + public Point p, goodp; + public Point oldp; + E e; // some edge *leaving* this point - Vert bound_to = this; - Matrix binding = new Matrix(); - float oldscore = 0; - boolean quadricStale = false; + private boolean illegal = false; - public Matrix errorQuadric() { return quadric; } public Point getPoint() { return p; } - public float score() { return oldscore; } + public float error() { return olderror; } - private Matrix fundamentalQuadric = null; - public Matrix fundamentalQuadric() { - if (fundamentalQuadric == null) recomputeFundamentalQuadric(); - return fundamentalQuadric; + private Vertex(Point p) { + this.p = p; + this.goodp = p; + if (vertices.get(p) != null) throw new Error(); + vertices.add(this); } - private Vert(Point p) { - this.p = p; - if (pointset.get(p) != null) throw new Error(); - pointset.add(this); + public void reinsert() { + vertices.remove(this); + vertices.add(this); + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.t.reinsert(); } - private void glNormal(GL gl) { - Vec norm = norm(); - gl.glNormal3f(norm.x, norm.y, norm.z); + public float olderror = 0; + public void setError(float nerror) { + error -= olderror; + olderror = nerror; + error += olderror; } - public void recomputeFundamentalQuadric() { - //if (!quadricStale && fundamentalQuadric != null) return; - quadricStale = false; - unApplyQuadricToNeighbor(); - Matrix m = Matrix.ZERO; - E e = this.e; + public float averageTriangleArea() { int count = 0; - do { - T t = e.t; - m = m.plus(t.norm().fundamentalQuadric(t.centroid())); + float ret = 0; + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) { + ret += e.t.area(); count++; - e = e.pair.next; - } while(e != this.e); - fundamentalQuadric = m.times(1/(float)count); - applyQuadricToNeighbor(); + } + return ret/count; } - - public void unApplyQuadricToNeighbor() { - if (nearest_in_other_mesh == null) return; - if (fundamentalQuadric == null) return; - nearest_in_other_mesh.unComputeError(); - nearest_in_other_mesh.quadric = nearest_in_other_mesh.quadric.minus(fundamentalQuadric); - nearest_in_other_mesh.quadric_count--; - if (nearest_in_other_mesh.quadric_count==0) - nearest_in_other_mesh.quadric = Matrix.ZERO; - nearest_in_other_mesh.computeError(); - nearest_in_other_mesh = null; + public float averageEdgeLength() { + int count = 0; + float ret = 0; + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) { + ret += e.length(); + count++; + } + return ret/count; } - public void applyQuadricToNeighbor() { - if (score_against == null) return; - - Vert new_nearest = score_against.nearest(p); - if (nearest_in_other_mesh != null && new_nearest == nearest_in_other_mesh) return; - - if (nearest_in_other_mesh != null) unApplyQuadricToNeighbor(); - if (nearest_in_other_mesh != null) throw new Error(); - - nearest_in_other_mesh = new_nearest; - - // don't attract to vertices that face the other way - if (nearest_in_other_mesh.e == null || nearest_in_other_mesh.norm().dot(norm()) < 0) { - nearest_in_other_mesh = null; - } else { - nearest_in_other_mesh.unComputeError(); - nearest_in_other_mesh.quadric = nearest_in_other_mesh.quadric.plus(fundamentalQuadric()); - nearest_in_other_mesh.quadric_count++; - nearest_in_other_mesh.computeError(); + public Matrix _recomputeFundamentalQuadric() { + Matrix m = Matrix.ZERO; + int count = 0; + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) { + m = m.plus(e.t.norm().fundamentalQuadric(e.t.centroid())); + count++; } - reComputeError(); + return m.times(1/(float)count); } - public void reComputeErrorAround() { - reComputeError(); - if (nearest_in_other_mesh != null) nearest_in_other_mesh.reComputeError(); - E e = this.e; - do { - e.p2.reComputeError(); - e = e.pair.next; - } while (e != this.e); - } - public void reComputeError() { - unComputeError(); - computeError(); - } - public void unComputeError() { - score -= oldscore; - oldscore = 0; - } + public HasQuadric nearest() { return error_against==null ? null : error_against.vertices.nearest(p, this); } public void computeError() { - if (quadric_count == 0) { - if (!tilemesh) { - } - else if (nearest_in_other_mesh == null) { - if (score_against != null) { - Vert ne = score_against.nearest(p); - oldscore = ne.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10; - } else { - oldscore = 0; - } - } else { - oldscore = nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10; + if (error_against==null) return; + float nerror = + nearest_in_other_mesh != null + ? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) + : nearest().fundamentalQuadric().preAndPostMultiply(p); + if (quadric_count != 0) + nerror = (nerror + quadric.preAndPostMultiply(p))/(quadric_count+1); + + if (!immutableVertices && quadric_count == 0) + nerror *= 2; + + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) { + double ang = Math.abs(e.dihedralAngle()); + if (ang > Math.PI) throw new Error(); + float minangle = (float)(Math.PI * 0.8); + if (ang > minangle) nerror += (ang - minangle); + if (e.t.aspect() < 0.2) { + nerror += (0.2-e.t.aspect()) * 10; } - } else { - oldscore = (quadric.preAndPostMultiply(p) * 100) / quadric_count; } - oldscore = oldscore; + setError(nerror); + } - int numaspects = 0; - float aspects = 0; - E e = this.e; - do { - //double ang = Math.abs(e.crossAngle()); - double ang = Math.abs(e.crossAngle()); - if (ang > Math.PI) throw new Error(); - /* - if (e.t != null) { - numaspects++; - aspects += e.t.aspect()*e.t.aspect(); + public boolean move(Matrix m, boolean ignoreProblems) { + boolean good = true; + + // t1' = M * t1 + // t2' = t2.getMatrix(t1) * t1' + // t2' = t2.getMatrix(t1) * M * t1 + // 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); + } + + if (bindingGroup != null) { + Matrix m2 = null; + for(int i=0; i<20 && !m.equals(m2); i++) { + m2 = m.times(bindingGroup.krank); + //System.out.println(m.minus(m2)); } - */ + if (!m.equals(m2)) return true; + } + + Point op = this.p; + Point pt = m.times(this.p); + for(Vertex v : (Iterable)getBoundPeers()) { + Point pt2 = v.getBindingMatrix(this).times(pt); /* - float minangle = (float)(Math.PI * 0.9); - if (ang > minangle) - oldscore += (ang - minangle); + if (Math.abs( v.p.minus(pt2).mag() / pt.minus(op).mag() ) > 5) + throw new Error(v.p+" "+pt2+"\n"+op+" "+pt+"\n"+v.getBindingMatrix(this)); + if (Math.abs( v.p.minus(pt2).mag() / pt.minus(op).mag() ) < 1/5) throw new Error(); */ - e = e.pair.next; - } while (e != this.e); - if (numaspects > 0) oldscore += (aspects / numaspects); + good &= v.transform(pt2, + ignoreProblems, v.getBindingMatrix(this)); + } - //System.out.println(oldscore); - //oldscore = oldscore*oldscore; - score += oldscore; + for(Vertex v : (Iterable)getBoundPeers()) + v.recomputeFundamentalQuadricIfNeighborChanged(); + return good; } /** does NOT update bound pairs! */ - public boolean transform(Matrix m) { + private boolean transform(Point newp, boolean ignoreProblems, Matrix yes) { + this.oldp = this.p; + if (immutableVertices) throw new Error(); + unApplyQuadricToNeighbor(); - try { - if (pointset.get(this.p)==null) throw new Error(); - pointset.remove(this); - float newx = m.a*p.x + m.b*p.y + m.c*p.z + m.d; - float newy = m.e*p.x + m.f*p.y + m.g*p.z + m.h; - float newz = m.i*p.x + m.j*p.y + m.k*p.z + m.l; - this.p = new Point(newx, newy, newz); - pointset.add(this); - } catch (Exception e) { - throw new RuntimeException(e); + + + illegal = false; + if (this.p.minus(newp).mag() > 0.1 && !ignoreProblems) { + /* + try { + throw new Exception(""+this.p.minus(newp).mag()+" "+ignoreProblems+" "+yes); + } catch(Exception e) { + e.printStackTrace(); + } + */ + illegal = true; } + + this.p = newp; + reinsert(); applyQuadricToNeighbor(); - // should recompute fundamental quadrics of all vertices sharing a face, but we defer... - E e = this.e; - do { + if (!ignoreProblems) { + checkLegality(); + } + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.p2.quadricStale = true; - e = e.pair.next; - } while(e != this.e); - - // FIXME: intersection test needed? - boolean good = true; - - if (!ignorecollision) - for(T t : Mesh.this) { - if (!good) break; - e = this.e; - do { - if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { good = false; break; } - if (e.t != null) { - //if (!e.t.has(t.e1().p1) && !e.t.has(t.e1().p2) && t.e1().intersects(e.t)) { good = false; break; } - //if (!e.t.has(t.e2().p1) && !e.t.has(t.e2().p2) && t.e2().intersects(e.t)) { good = false; break; } - //if (!e.t.has(t.e3().p1) && !e.t.has(t.e3().p2) && t.e3().intersects(e.t)) { good = false; break; } - } - e = e.pair.next; - } while(e != this.e); + return !illegal; + } + + public void checkLegality() { + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) { + if (Math.abs(e.dihedralAngle()) > (Math.PI * 0.9) || + Math.abs(e.next.dihedralAngle()) > (Math.PI * 0.9)) illegal = true; + if (e.t.aspect() < 0.2) illegal = true; } + if (!illegal) triangles.range(oldp, this.p, (Visitor)this); + } - reComputeErrorAround(); - return good; + public void reComputeErrorAround() { + reComputeError(); + 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(); } - public boolean move(Vec v) { - Matrix m = new Matrix(v); - Vert p = this; - boolean good = true; - do { - good &= p.transform(m); - p = p.bound_to; - } while (p != this); - return good; + public boolean visit(Object o) { + if (o instanceof Vertex) + return ((Vertex)o).e != null && ((Vertex)o).norm().dot(Vertex.this.norm()) >= 0; + 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 (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; } + } + } + return !illegal; } public E getFreeIncident() { E ret = getFreeIncident(e, e); if (ret != null) return ret; - ret = getFreeIncident(e.pair.next, e.pair.next); - if (ret == null) { - E ex = e; - do { - System.out.println(ex + " " + ex.t); - ex = ex.pair.next; - } while (ex != e); - throw new Error("unable to find free incident to " + this); - } - return ret; + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) + System.out.println(e + " " + e.t); + throw new Error("unable to find free incident to " + this); } public E getFreeIncident(E start, E before) { - E e = start; - do { - if (e.pair.p2 == this && e.pair.t == null && e.pair.next.t == null) return e.pair; - e = e.pair.next; - } while(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) + return e.pair; return null; } public E getE(Point p2) { - Vert v = pointset.get(p2); + Vertex v = vertices.get(p2); if (v==null) return null; return getE(v); } - public E getE(Vert p2) { - E e = this.e; - do { - if (e==null) return null; + 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; - e = e.pair.next; - } while (e!=this.e); return null; } + private void glNormal(GL gl) { + Vec norm = norm(); + gl.glNormal3f(norm.x, norm.y, norm.z); + } public Vec norm() { Vec norm = new Vec(0, 0, 0); - E e = this.e; - do { - if (e.t != null) norm = norm.plus(e.t.norm().times((float)e.prev.angle())); - e = e.pair.next; - } while(e != this.e); + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) + if (e.t != null) + norm = norm.plus(e.t.norm().times((float)e.prev.angle())); return norm.norm(); } - public boolean isBoundTo(Vert p) { - Vert px = p; - do { - if (px==this) return true; - px = px.bound_to; - } while(px != p); - return false; - } - public void unbind() { bound_to = this; binding = new Matrix(); } - public void bind(Vert p) { bind(p, new Matrix()); } - public void bind(Vert p, Matrix binding) { - if (isBoundTo(p)) return; - Vert temp_bound_to = p.bound_to; - Matrix temp_binding = p.binding; - p.bound_to = this.bound_to; - p.binding = binding.times(this.binding); // FIXME: may have order wrong here - this.bound_to = temp_bound_to; - this.binding = temp_binding.times(temp_binding); // FIXME: may have order wrong here - } + public void bindTo(Vertex p) { bindTo(Matrix.ONE, p); } } - public class BindingGroup { - private HashSet set = new HashSet(); - public BindingGroup bind_others; - public BindingGroup other() { return bind_others; } - public BindingGroup(BindingGroup bind_others) { this.bind_others = bind_others; } - public BindingGroup() { this.bind_others = new BindingGroup(this); } - public BindingGroup(E e) { this(); set.add(e); } - public void add(E e) { - if (set.contains(e)) return; - set.add(e); - BindingGroup e_bind_peers = e.bind_peers; - BindingGroup e_bind_to = e.bind_to; - e.bind_peers = this; - e.bind_to = bind_others; - for (E epeer : e_bind_peers.set) add(epeer); - for (E eother : e_bind_to.set) bind_others.add(eother); - - for(E eother : bind_others.set) { - if (e.next.bind_to.set.contains(eother.prev)) { - e.next.next.bindEdge(eother.prev.prev); - } - if (e.prev.bind_to.set.contains(eother.next)) { - e.prev.prev.bindEdge(eother.next.next); - } - } - - } - public void dobind(E e) { - for(E ebound : set) { - e.p1.bind(ebound.p2); - e.p2.bind(ebound.p1); - } - } - public void shatter(BindingGroup bg1, BindingGroup bg2) { - for(E e : set) { - e.shatter(e.midpoint(), bg1, bg2); - } - } - } /** [UNIQUE] an edge */ - public final class E implements Comparable { + public final class E extends HasBindingGroup implements Comparable { - public final Vert p1, p2; + public final Vertex p1, p2; T t; // triangle to our "left" E prev; // previous half-edge E next; // next half-edge E pair; // partner half-edge - public BindingGroup bind_peers = new BindingGroup(this); - public BindingGroup bind_to = bind_peers.other(); boolean shattered = false; + public boolean intersects(T t) { return t.intersects(p1.p, p2.p); } + + public void bindingGroupChanged(edu.berkeley.qfat.geom.BindingGroup newBindingGroup_) { + + edu.berkeley.qfat.geom.BindingGroup newBindingGroup = + (edu.berkeley.qfat.geom.BindingGroup)newBindingGroup_; + if (newBindingGroup==null) return; + if (this==newBindingGroup.getMaster()) return; + HashSet nbg = new HashSet(); + for(E eother : (Iterable)newBindingGroup) 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); + + 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); + } + + } + + public float stretchRatio() { + 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; + return nearest_distance/other_distance; + } public float comparator() { - Vert nearest = score_against.nearest(midpoint()); - //if (t==null) return length(); - /* - double ang = Math.abs(crossAngle()); - float minangle = (float)(Math.PI * 0.9); - if (ang > minangle) - return 300; - */ - /* - if ((length() * length()) / t.area() > 10) - return (float)(length()*Math.sqrt(t.area())); - return length()*t.area(); - */ - return (float)Math.max(length(), midpoint().distance(nearest.p)); + return length(); + //return t==null?0:(1/t.aspect()); } public int compareTo(E e) { return e.comparator() > comparator() ? 1 : -1; } - public void bindEdge(E e) { bind_to.add(e); } - public void dobind() { bind_to.dobind(this); } + public void bindEdge(E e, Matrix m) { + _bindEdge(e, m); + pair._bindEdge(e.pair, 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)); + */ + 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(); + this.bindTo(m, e); + } + + public void dobind() { + for(E e : (Iterable)getBoundPeers()) { + if (e==this) continue; + p1.bindTo(getBindingMatrix(e), e.p1); + p2.bindTo(getBindingMatrix(e), e.p2); + } + } - public Point shatter() { return shatter(midpoint(), null, null); } - public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2) { - if (shattered || destroyed) return mid; + public Point shatter() { + if (shattered || destroyed) return null; shattered = true; - - Vert r = next.p2; - E next = this.next; - E prev = this.prev; - - int old_colorclass = t==null ? 0 : t.colorclass; - if (bg1==null) bg1 = new BindingGroup(); - if (bg2==null) bg2 = new BindingGroup(); - BindingGroup old_bind_to = bind_to; - bind_peers.shatter(bg1, bg2); - old_bind_to.shatter(bg2.other(), bg1.other()); - pair.shatter(); - destroy(); - - newT(r.p, p1.p, mid, null, old_colorclass); - newT(r.p, mid, p2.p, null, old_colorclass); - bg1.add(p1.getE(mid)); - bg2.add(p2.getE(mid).pair); - return mid; + E first = null; + E firste = null; + E firstx = null; + E firstq = null; + for(E e : (Iterable)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.p2; + Vertex l = e.pair.next.p2; + 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); + } + for(E e : (Iterable)getBoundPeers()) { + Point mid = e.midpoint(); + if (first==null) { + first = e.p1.getE(mid); + firste = e; + firstx = e.pair; + firstq = e.p2.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); + } + return null; } public boolean destroyed = false; @@ -526,41 +457,28 @@ public class Mesh implements Iterable { pair.next.t = null; pair.prev.t = null; - this.bind_to = null; - pair.bind_to = null; - this.bind_peers = null; - pair.bind_peers = null; 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; - avgedge -= this.length(); - avgedge -= pair.length(); - numedges--; - numedges--; } private void sync() { this.prev.next = this; this.next.prev = this; this.pair.pair = this; - bind_peers.add(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 (!added) { - added = true; - numedges++; - avgedge += length(); - } + if (!added) added = true; } private boolean added = false; public T makeT(int colorclass) { return t==null ? (t = new T(this, colorclass)) : t; } - public double crossAngle() { + public double dihedralAngle() { Vec v1 = t.norm().times(-1); Vec v2 = pair.t.norm().times(-1); return Math.acos(v1.norm().dot(v2.norm())); @@ -576,7 +494,7 @@ public class Mesh implements Iterable { 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 (t != null || e.t != null) throw new Error("cannot make adjacent -- edges not both free "); E freeIncident = p2.getFreeIncident(e, this); @@ -595,10 +513,10 @@ public class Mesh implements Iterable { /** creates an isolated edge out in the middle of space */ public E(Point p1, Point p2) { - if (pointset.get(p1) != null) throw new Error(); - if (pointset.get(p2) != null) throw new Error(); - this.p1 = new Vert(p1); - this.p2 = new Vert(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); this.prev = this.next = this.pair = new E(this, this, this); this.p1.e = this; this.p2.e = this.pair; @@ -607,9 +525,9 @@ public class Mesh implements Iterable { /** adds a new half-edge from prev.p2 to p2 */ public E(E prev, Point p) { - Vert p2; - p2 = pointset.get(p); - if (p2 == null) p2 = new Vert(p); + Vertex p2; + p2 = vertices.get(p); + if (p2 == null) p2 = new Vertex(p); this.p1 = prev.p2; this.p2 = p2; this.prev = prev; @@ -638,84 +556,15 @@ public class Mesh implements Iterable { 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(Vert v) { return v==p1 || v==p2; } + 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 boolean intersects(T t) { - double A0=t.v1().p.x, A1=t.v1().p.y, A2=t.v1().p.z; - double B0=t.v2().p.x, B1=t.v2().p.y, B2=t.v2().p.z; - double C0=t.v3().p.x, C1=t.v3().p.y, C2=t.v3().p.z; - double j0=p1.p.x, j1=p1.p.y, j2=p1.p.z; - double k0=p2.p.x, k1=p2.p.y, k2=p2.p.z; - double J0, J1, J2; - double K0, K1, K2; - double i0, i1, i2; - double a0, a1, a2; - double b0, b1, b2; - double c0, c1, c2; - double in_det; - double R00, R01, R02, R03, - R10, R11, R12, R13, - R20, R21, R22, R23, - R30, R31, R32, R33; - - - /* a = B - A */ - a0 = B0 - A0; - a1 = B1 - A1; - a2 = B2 - A2; - /* b = C - B */ - b0 = C0 - A0; - b1 = C1 - A1; - b2 = C2 - A2; - /* c = a × b */ - c0 = a1 * b2 - a2 * b1; - c1 = a2 * b0 - a0 * b2; - c2 = a0 * b1 - a1 * b0; - - /* M^(-1) = (1/det(M)) * adj(M) */ - in_det = 1 / (c0 * c0 + c1 * c1 + c2 * c2); - R00 = (b1 * c2 - b2 * c1) * in_det; - R01 = (b2 * c0 - b0 * c2) * in_det; - R02 = (b0 * c1 - b1 * c0) * in_det; - R10 = (c1 * a2 - c2 * a1) * in_det; - R11 = (c2 * a0 - c0 * a2) * in_det; - R12 = (c0 * a1 - c1 * a0) * in_det; - R20 = (c0) * in_det; - R21 = (c1) * in_det; - R22 = (c2) * in_det; - - /* O = M^(-1) * A */ - R03 = -(R00 * A0 + R01 * A1 + R02 * A2); - R13 = -(R10 * A0 + R11 * A1 + R12 * A2); - R23 = -(R20 * A0 + R21 * A1 + R22 * A2); - - /* fill in last row of 4x4 matrix */ - R30 = R31 = R32 = 0; - R33 = 1; - - J2 = R20 * j0 + R21 * j1 + R22 * j2 + R23; - K2 = R20 * k0 + R21 * k1 + R22 * k2 + R23; - if (J2 * K2 >= 0) return false; - - J0 = R00 * j0 + R01 * j1 + R02 * j2 + R03; - K0 = R00 * k0 + R01 * k1 + R02 * k2 + R03; - i0 = J0 + J2 * ((K0 - J0) / (J2 - K2)); - if (i0 < 0 || i0 > 1) return false; - - J1 = R10 * j0 + R11 * j1 + R12 * j2 + R13; - K1 = R10 * k0 + R11 * k1 + R12 * k2 + R13; - i1 = J1 + J2 * ((K1 - J1) / (J2 - K2)); - if (i1 < 0 || i1 > 1 || i0 + i1 > 1) return false; - - return true; - } } public E makeE(Point p1, Point p2) { - Vert v1 = pointset.get(p1); - Vert v2 = pointset.get(p2); + Vertex v1 = vertices.get(p1); + Vertex v2 = vertices.get(p2); if (v1 != null && v2 != null) { E e = v1.getE(v2); if (e != null) return e; @@ -726,7 +575,22 @@ public class Mesh implements Iterable { if (v2 != null) return new E(v2.getFreeIncident(), p1).pair; return new E(p1, p2); } + public boolean coalesce = false; + 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) { + 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; } } + /* + 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)); + */ + } if (norm != null) { Vec norm2 = p3.minus(p1).cross(p2.minus(p1)); float dot = norm.dot(norm2); @@ -748,38 +612,12 @@ public class Mesh implements Iterable { return ret; } - - public class FaceIterator implements Iterator { - private HashSet visited = new HashSet(); - private LinkedList next = new LinkedList(); - public FaceIterator() { } - public FaceIterator(Vert v) { next.addFirst(v.e.t); } - public boolean hasNext() { return next.peek()!=null; } - public void remove() { throw new Error(); } - public T next() { - T ret = next.removeFirst(); - if (ret == null) return null; - visited.add(ret); - T t1 = ret.e1().pair.t; - T t2 = ret.e2().pair.t; - T t3 = ret.e3().pair.t; - if (t1 != null && !visited.contains(t1)) next.addFirst(t1); - if (t2 != null && !visited.contains(t2)) next.addFirst(t2); - if (t3 != null && !visited.contains(t3)) next.addFirst(t3); - return ret; - } - } - /** [UNIQUE] a triangle (face) */ public final class T extends Triangle { public final E e1; public final int color; public final int colorclass; - public void destroy() { - ts.remove(this); - } - T(E e1, int colorclass) { this.e1 = e1; E e2 = e1.next; @@ -803,32 +641,45 @@ public class Mesh implements Iterable { } this.color = color; this.colorclass = colorclass; - ts.add(this); + triangles.add(this); } public E e1() { return e1; } public E e2() { return e1.next; } public E e3() { return e1.prev; } - public Vert v1() { return e1.p1; } - public Vert v2() { return e1.p2; } - public Vert v3() { return e1.next.p2; } + 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 boolean hasE(E e) { return e1==e || e1.next==e || e1.prev==e; } - public boolean has(Vert v) { return v1()==v || v2()==v || v3()==v; } + public boolean has(Vertex v) { return v1()==v || v2()==v || v3()==v; } - public void glVertices(GL gl) { + public void removeFromRTree() { triangles.remove(this); } + public void addToRTree() { triangles.insert(this); } + public void destroy() { triangles.remove(this); } + public void reinsert() { triangles.remove(this); triangles.add(this); } + + public boolean shouldBeDrawn() { - if (e1().bind_to.set.size() == 0) return; - if (e2().bind_to.set.size() == 0) return; - if (e3().bind_to.set.size() == 0) return; + if (e1().bindingGroupSize() <= 1) return false; + if (e2().bindingGroupSize() <= 1) return false; + if (e3().bindingGroupSize() <= 1) return false; + return true; + } + + /** issue gl.glVertex() for each of the triangle's points */ + public void glVertices(GL gl) { + if (!shouldBeDrawn()) return; norm().glNormal(gl); - p1().glVertex(gl); - p2().glVertex(gl); - p3().glVertex(gl); + Point p1 = v1().goodp; + Point p2 = v2().goodp; + Point p3 = v3().goodp; + p1.glVertex(gl); + p2.glVertex(gl); + p3.glVertex(gl); } + } - public boolean tilemesh = false; - public boolean ignorecollision = false; }