import edu.berkeley.qfat.geom.*;
import edu.wlu.cs.levy.CG.KDTree;
import edu.berkeley.qfat.geom.Point;
+import com.infomatiq.jsi.IntProcedure;
public class Mesh implements Iterable<Mesh.T> {
public static final float EPSILON = (float)0.0001;
public static final Random random = new Random();
- private PointSet<Vert> pointset = new PointSet<Vert>();
-
- public Iterable<Vert> vertices() { return pointset; }
-
- public Iterable<E> edges() {
- return
- new Iterable<E>() {
- public Iterator<E> iterator() {
- // HACK
- HashSet<E> hse = new HashSet<E>();
- 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<T> triangles = new RTree<T>();
+ private PointSet<Vertex> vertices = new PointSet<Vertex>();
- public Iterator<T> iterator() {
- for(Vert v : pointset)
- if (v.e != null && v.e.t != null)
- return new FaceIterator(v);
- return new FaceIterator();
- }
+ 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 void unbind() {
+ public int size() { return vertices.size(); }
+ public Iterable<Vertex> vertices() { return vertices; }
+ public Iterator<T> iterator() { return triangles.iterator(); }
+
+ public void rebindPoints() {
+ // unbind all points
for(Mesh.T t : this) {
t.v1().unbind();
t.v2().unbind();
t.v3().unbind();
}
- }
-
- public void bind() {
+ // ask edges to re-implement their bindings
for(Mesh.T t : this) {
t.e1().dobind();
t.e2().dobind();
}
}
- public void unscore() {
- HashSet<Vert> done = new HashSet<Vert>();
- for(T t : this)
- for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) {
- if (done.contains(p)) continue;
- done.add(p);
- p.unscore();
- }
- }
- public void fundamental() {
- HashSet<Vert> done = new HashSet<Vert>();
- 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 rescore() {
- int num = 0;
- double dist = 0;
- HashSet<Vert> done = new HashSet<Vert>();
- for(T t : this)
- for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) {
- if (done.contains(p)) continue;
- done.add(p);
- p.rescore();
-
- }
- return (float)(dist/num);
- }
-
public void transform(Matrix m) {
- ArrayList<Vert> set = new ArrayList<Vert>();
- for (Vert v : pointset)
- set.add(v);
- for(Vert v : set) v.transform(m);
+ ArrayList<Vertex> set = new ArrayList<Vertex>();
+ for(Vertex v : vertices) set.add(v);
+ for(Vertex v : set) v.transform(m.times(v.p), true);
}
+ 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) {
return (float)total;
}
- public class BindingGroup {
- public HashSet<E> es = new HashSet<E>();
- public BindingGroup() { }
- public BindingGroup(E e) {
- es.add(e);
- }
- public void add(E e) {
- if (e.bg != null) { merge(e.bg); return; }
- es.add(e);
- e.bg = this;
- }
- public void merge(BindingGroup bg) {
- for(E e : bg.es) {
- e.bg = null;
- add(e);
- }
- }
- }
- public Vec diagonal() { return pointset.diagonal(); }
- public Point centroid() { return pointset.centroid(); }
- public Vert nearest(Point p) { return pointset.nearest(p); }
+ // Vertexices //////////////////////////////////////////////////////////////////////////////
- public final class Vert extends HasPoint {
- public Point p;
+ /** a vertex in the mesh */
+ public final class Vertex extends HasQuadric implements Visitor {
+ public Point p, oldp;
E e; // some edge *leaving* this point
- Vert bound_to = this;
+ Matrix binding = Matrix.ONE;
+ Vertex bound_to = this;
+ private boolean illegal = false;
- /** 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;
+ public Point getPoint() { return p; }
+ public float error() { return olderror; }
- Matrix binding = new Matrix();
- float oldscore = 0;
- boolean inserted = false;
+ private Vertex(Point p) {
+ this.p = p;
+ if (vertices.get(p) != null) throw new Error();
+ vertices.add(this);
+ }
- public Matrix errorQuadric() { return quadric; }
+ 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 Matrix fundamentalQuadric = null;
- public Matrix fundamentalQuadric() {
- if (fundamentalQuadric == null) recomputeFundamentalQuadric();
- return fundamentalQuadric;
+ public float olderror = 0;
+ public void setError(float nerror) {
+ error -= olderror;
+ olderror = nerror;
+ error += olderror;
}
- public Point getPoint() { return p; }
- private Vert(Point p) {
- this.p = p;
- if (pointset.get(p) != null) throw new Error();
- pointset.add(this);
+ public float averageTriangleArea() {
+ 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.t.area();
+ count++;
+ }
+ return ret/count;
+ }
+ 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 float score() { return oldscore; }
- public void recomputeFundamentalQuadric() {
- unscore();
+ public Matrix _recomputeFundamentalQuadric() {
Matrix m = Matrix.ZERO;
- E e = this.e;
- do {
- T t = e.t;
- m = m.plus(t.norm().fundamentalQuadric(t.centroid()));
- e = e.pair.next;
- } while(e != this.e);
- fundamentalQuadric = m;
- rescore();
- }
-
- public void unscore() {
- if (nearest_in_other_mesh == null) return;
- if (fundamentalQuadric == null) return;
- 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 = null;
- }
-
- public void rescore() {
- if (score_against == null) return;
-
- score -= oldscore;
- oldscore = 0;
-
- if (nearest_in_other_mesh != null) unscore();
- if (nearest_in_other_mesh == null) {
- nearest_in_other_mesh = score_against.nearest(p);
-
- // 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.quadric = nearest_in_other_mesh.quadric.plus(fundamentalQuadric());
- nearest_in_other_mesh.quadric_count++;
+ 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++;
+ }
+ return m.times(1/(float)count);
+ }
+
+ public HasQuadric nearest() { return error_against==null ? null : error_against.vertices.nearest(p, this); }
+ public void computeError() {
+ if (error_against==null) return;
+ float nerror =
+ quadric_count != 0
+ ? (quadric.preAndPostMultiply(p) * 100)/quadric_count
+ : nearest_in_other_mesh != null
+ ? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100
+ : nearest().fundamentalQuadric().preAndPostMultiply(p) * 100;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ double ang = Math.abs(e.crossAngle());
+ 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()) * 300;
}
+ */
}
-
- /*
- double s1, s2;
- if (quadric_count==0) s1 = 0;
- else s1 = p.distance(quadric_x/quadric_count, quadric_y/quadric_count, quadric_z/quadric_count);
- s2 = quadric==null ? 0 : po.p.distance(quadric.p);
- oldscore = (float)(s1 + s2);
- */
- oldscore = quadric_count == 0 ? 0 : (quadric.preAndPostMultiply(p) / quadric_count);
-
- score += oldscore;
+ setError(nerror);
}
/** does NOT update bound pairs! */
- public boolean transform(Matrix m) {
- unscore();
- 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);
+ private boolean transform(Point newp, boolean ignoreProblems) {
+ this.oldp = this.p;
+ if (immutableVertices) throw new Error();
+
+ unApplyQuadricToNeighbor();
+ this.p = newp;
+ reinsert();
+ applyQuadricToNeighbor();
+
+ if (!ignoreProblems) {
+ illegal = false;
+ checkLegality();
}
- fundamentalQuadric = fundamentalQuadric();
- rescore();
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.p2.quadricStale = true;
+ return !illegal;
+ }
- // recompute fundamental quadrics of all vertices sharing a face
+ public void checkLegality() {
/*
- E e = this.e;
- do {
- e.p2.recomputeFundamentalQuadric();
- e = e.pair.next;
- } while(e != this.e);
- */
-
- boolean good = true;
- /*
- for(T t : this) {
- for(E e = this.e; ;) {
- if (e.intersects(t)) { good = false; break; }
- e = e.pair.next;
- if (e == this.e) break;
- }
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ if (Math.abs(e.crossAngle()) > (Math.PI * 0.9) ||
+ Math.abs(e.next.crossAngle()) > (Math.PI * 0.9)) illegal = true;
+ if (e.t.aspect() < 0.1) illegal = true;
}
*/
- /*
- if (t==this.t) continue;
- if (this.intersects(t)) good = false;
+ if (!illegal) triangles.range(oldp, this.p, (Visitor<T>)this);
+ }
+
+ 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 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 good;
+ return !illegal;
}
- public boolean move(Vec v) {
- Matrix m = new Matrix(v);
- Vert p = this;
+
+ public boolean move(Matrix m, boolean ignoreProblems) {
boolean good = true;
- do {
- good &= p.transform(m);
- v = v.times(binding); // bleh wrong
- p = p.bound_to;
- } while (p != this);
+ for(Vertex p = this; p != null; p = (p.bound_to==this)?null:p.bound_to)
+ good &= p.transform(m.times(p.p), ignoreProblems);
+ for(Vertex p = this; p != null; p = (p.bound_to==this)?null:p.bound_to)
+ if (good || ignoreProblems) p.reComputeErrorAround();
+ else p.transform(p.oldp, true);
return good;
}
public E getFreeIncident() {
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
- ret = getFreeIncident(e.pair.next, e.pair.next);
- if (ret == null) 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;
}
- public boolean isBoundTo(Vert p) {
- Vert px = p;
- do {
- if (px==this) return true;
- px = px.bound_to;
- } while(px != p);
+ 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);
+ 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(Vertex p) {
+ for(Vertex px = p; px!=null; px=(px.bound_to==p?null:px.bound_to))
+ if (px==this)
+ return true;
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) {
+ public void unbind() { bound_to = this; binding = Matrix.ONE; }
+ public void bind(Vertex p) { bind(p, Matrix.ONE); }
+ public void bind(Vertex p, Matrix binding) {
if (isBoundTo(p)) return;
- Vert temp_bound_to = p.bound_to;
+ Vertex 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 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);
- return norm.norm();
+ }
+
+ public class BindingGroup {
+ private HashSet<E> set = new HashSet<E>();
+ 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<E> {
- 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 bg = new BindingGroup(this);
+ public BindingGroup bind_peers = new BindingGroup(this);
+ public BindingGroup bind_to = bind_peers.other();
boolean shattered = false;
- public int compareTo(E e) { return e.length() > length() ? 1 : -1; }
-
- public void bind(E e) { bind(e, new Matrix()); }
- public void bind(E e, Matrix m) { e.bg.add(this); }
-
- public void dobind() {
- if (bg==null) return;
- for(E ex : bg.es) {
- if (ex==this) continue;
- p1.bind(ex.p1);
- p2.bind(ex.p2);
- }
+ public boolean intersects(T t) { return t.intersects(p1.p, p2.p); }
+ public float comparator() {
+ /*
+ Vertex nearest = error_against.nearest(midpoint());
+ //return (float)Math.max(length(), midpoint().distance(nearest.p));
+ //return length();
+ 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;
+ */
+ 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 Point shatter() { return shatter(midpoint(), null, null); }
public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2) {
- if (shattered) return mid;
+ if (shattered || destroyed) return mid;
shattered = true;
- Vert r = next.p2;
+ Vertex 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();
- for(E e : bg.es) e.shatter(e.midpoint(), bg1, bg2);
+ 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);
- newT(r.p, mid, p2.p, null);
+ 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;
if (destroyed) return;
destroyed = true;
pair.destroyed = true;
+
+ if (t != null) t.destroy();
+ t = null;
+
+ if (pair.t != null) pair.t.destroy();
+ pair.t = null;
+
if (next.t != null) next.t.destroy();
if (prev.t != null) prev.t.destroy();
next.t = null;
prev.t = null;
+
+ if (pair.next.t != null) pair.next.t.destroy();
+ if (pair.prev.t != null) pair.next.t.destroy();
pair.next.t = null;
pair.prev.t = null;
- this.bg = null;
- pair.bg = 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() { return t==null ? (t = new T(this)) : t; }
+ public T makeT(int colorclass) { return t==null ? (t = new T(this, colorclass)) : t; }
+
+ public double crossAngle() {
+ Vec v1 = t.norm().times(-1);
+ Vec v2 = pair.t.norm().times(-1);
+ return Math.acos(v1.norm().dot(v2.norm()));
+ }
/** angle between this half-edge and the next */
public double angle() {
/** 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;
/** 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;
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;
if (v2 != null) return new E(v2.getFreeIncident(), p1).pair;
return new E(p1, p2);
}
- public T newT(Point p1, Point p2, Point p3, Vec norm) {
+ public T newT(Point p1, Point p2, Point p3, Vec norm, int colorclass) {
if (norm != null) {
Vec norm2 = p3.minus(p1).cross(p2.minus(p1));
float dot = norm.dot(norm2);
e23.makeAdjacent(e31);
e31.makeAdjacent(e12);
}
- T ret = e12.makeT();
+ T ret = e12.makeT(colorclass);
if (e12.t == null) throw new Error();
if (e23.t == null) throw new Error();
if (e31.t == null) throw new Error();
return ret;
}
-
- public class FaceIterator implements Iterator<T> {
- private HashSet<T> visited = new HashSet<T>();
- private LinkedList<T> next = new LinkedList<T>();
- 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() {
- }
-
- T(E e1) {
+ T(E e1, int colorclass) {
this.e1 = e1;
E e2 = e1.next;
E e3 = e2.next;
break;
}
this.color = color;
+ this.colorclass = colorclass;
+ 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 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 false;
+ if (e2().bind_to.set.size() == 0) return false;
+ if (e3().bind_to.set.size() == 0) return false;
+ return true;
+ }
+
+ /** issue gl.glVertex() for each of the triangle's points */
+ public void glVertices(GL gl) {
+ norm().glNormal(gl);
+ Point p1 = v1().oldp;
+ Point p2 = v2().oldp;
+ Point p3 = v3().oldp;
+ if (p1==null || p2==null || p3==null) return;
+ p1.glVertex(gl);
+ p2.glVertex(gl);
+ p3.glVertex(gl);
+ }
+
+ }
}
projects / anneal.git / blobdiff