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;
t.e2().dobind();
t.e3().dobind();
}
+ System.out.println("rebound!");
}
public void transform(Matrix 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);
+ for(Vertex v : set) v.transform(m.times(v.p), true, null);
+ for(Vertex v : set) v.goodp = v.p;
}
public void rebuild() { /*vertices.rebuild();*/ }
/** a vertex in the mesh */
public final class Vertex extends HasQuadric implements Visitor {
- public Point p, oldp, goodp;
+ public Point p, goodp;
+ public Point oldp;
E e; // some edge *leaving* this point
- Matrix binding = Matrix.ONE;
- Vertex bound_to = this;
private boolean illegal = false;
+ public boolean visible = false;
+
public Point getPoint() { return p; }
public float error() { return olderror; }
private Vertex(Point p) {
this.p = p;
this.goodp = p;
+ this.oldp = p;
if (vertices.get(p) != null) throw new Error();
vertices.add(this);
}
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;
m = m.plus(e.t.norm().fundamentalQuadric(e.t.centroid()));
count++;
}
+ if (count > 0) {
+ m = m.plus(norm().fundamentalQuadric(this.p).times(count));
+ count *= 2;
+ }
return m.times(1/(float)count);
}
if (quadric_count != 0)
nerror = (nerror + quadric.preAndPostMultiply(p))/(quadric_count+1);
+ if (!immutableVertices && quadric_count == 0) {
+ //nerror = Math.max(nerror, 0.4f);
+ //nerror *= 2;
+ }
+ //System.out.println(nerror);
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
- double ang = Math.abs(e.dihedralAngle());
+ double ang = e.dihedralAngle();
if (ang > Math.PI) throw new Error();
+ if (ang < -Math.PI) throw new Error();
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;
if (ang > minangle) nerror += (ang - minangle);
+
+ //System.out.println(((ang / Math.PI)*(ang/Math.PI)) * 0.000001);
/*
if (e.t.aspect() < 0.2) {
nerror += (0.2-e.t.aspect()) * 10;
}
*/
}
+ if (!immutableVertices) {
+ Vertex n = (Vertex)nearest();
+ float d = norm().dot(n.norm());
+ if (d > 1 || d < -1) throw new Error();
+ if (d >= 0) {
+ nerror *= (2.0f - d);
+ } else {
+ nerror += 0.0003 * (2.0f + d);
+ nerror *= (2.0f + d);
+ }
+ }
setError(nerror);
}
public boolean move(Matrix m, boolean ignoreProblems) {
+
boolean good = true;
- 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);
+
+ // 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(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);
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers()) {
+ Point pt2 = v.getBindingMatrix(this).times(pt);
+ /*
+ 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();
+ */
+ good &= v.transform(pt2, ignoreProblems, v.getBindingMatrix(this));
+ }
+
+ if (!good && !ignoreProblems) {
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers())
+ v.transform(v.oldp, true, null);
+ }
+
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers())
+ v.recomputeFundamentalQuadricIfNeighborChanged();
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers())
+ v.reComputeErrorAround();
+ ok = true;
return good;
}
+ public boolean ok = true;
/** does NOT update bound pairs! */
- private boolean transform(Point newp, boolean ignoreProblems) {
+ private boolean transform(Point newp, boolean ignoreProblems, Matrix yes) {
this.oldp = this.p;
if (immutableVertices) throw new Error();
unApplyQuadricToNeighbor();
+
+
+ boolean illegalbefore = illegal;
+ 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();
if (!ignoreProblems) {
- illegal = false;
checkLegality();
}
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.p2.quadricStale = true;
- return !illegal;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
+ e.p2.quadricStale = true;
+ return !illegal || (illegalbefore && 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() < 0.1) illegal = true;
+ if (e.t.aspect() < 0.2) illegal = true;
}
*/
if (!illegal) triangles.range(oldp, this.p, (Visitor<T>)this);
return !illegal;
}
+ public E getEdge() { return e; }
public E getFreeIncident() {
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
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 = Matrix.ONE; }
- public void bind(Vertex p) { bind(p, Matrix.ONE); }
- public void bind(Vertex p, Matrix binding) {
- if (isBoundTo(p)) return;
- 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 void bindTo(Vertex p) { bindTo(Matrix.ONE, p); }
}
- 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, boolean triangles) {
- for(E e : set) {
- e.shatter(e.midpoint(), bg1, bg2, triangles);
- }
- }
- }
/** [UNIQUE] an edge */
- public final class E implements Comparable<E> {
+ public final class E extends HasBindingGroup implements Comparable<E> {
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 Segment getSegment() { return new Segment(p1.getPoint(), p2.getPoint()); }
+
+ public void bindingGroupChanged(edu.berkeley.qfat.geom.BindingGroup newBindingGroup_) {
+
+ edu.berkeley.qfat.geom.BindingGroup<E> newBindingGroup =
+ (edu.berkeley.qfat.geom.BindingGroup<E>)newBindingGroup_;
+ if (newBindingGroup==null) return;
+ if (this==newBindingGroup.getMaster()) return;
+ HashSet<E> nbg = new HashSet<E>();
+ for(E eother : (Iterable<E>)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.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);
+ }
+
+ }
+
public float stretchRatio() {
Vertex nearest = error_against.nearest(midpoint());
float nearest_distance = midpoint().distance(nearest.p);
return nearest_distance/other_distance;
}
public float comparator() {
-
-
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<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());
+ }
+ }
- public Point shatter() { return shatter(true); }
- public Point shatter(boolean triangles) { return shatter(midpoint(), null, null, triangles); }
- public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2, boolean triangles) {
- if (shattered || destroyed) return mid;
+ public Point shatter() {
+ if (shattered || destroyed) return null;
shattered = true;
-
- 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();
- BindingGroup old_bind_to = bind_to;
- bind_peers.shatter(bg1, bg2, triangles);
- old_bind_to.shatter(bg2.other(), bg1.other(), triangles);
- if (!triangles) {
- next.shatter(false);
- prev.shatter(false);
+ 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.p2;
+ Vertex l = e.pair.next.p2;
+ 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);
+ }
}
- pair.shatter();
- destroy();
-
- if (triangles) {
- 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);
+ for(E e : (Iterable<E>)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 mid;
+ /*
+ first.setConstraint(firste.getConstraint());
+ firstq.setConstraint(firste.getConstraint());
+ */
+ return null;
}
public boolean destroyed = false;
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;
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;
public double dihedralAngle() {
Vec v1 = t.norm().times(-1);
Vec v2 = pair.t.norm().times(-1);
- return Math.acos(v1.norm().dot(v2.norm()));
+ double prod = v1.norm().dot(v2.norm());
+ prod = Math.min(1,prod);
+ prod = Math.max(-1,prod);
+ double ret = Math.acos(prod);
+ if (Double.isNaN(ret)) throw new Error("nan! " + prod);
+ return ret;
}
/** angle between this half-edge and the next */
return Math.acos(v1.norm().dot(v2.norm()));
}
+ public Vertex getOther(Vertex v) {
+ if (this.p1 == v) return p2;
+ if (this.p2 == v) return p1;
+ 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 (t != null || e.t != null) throw new Error("cannot make adjacent -- edges not both free ");
E freeIncident = p2.getFreeIncident(e, this);
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);
return ret;
}
+ private int max_serial = 0;
/** [UNIQUE] a triangle (face) */
public final class T extends Triangle {
public final E e1;
public final int color;
public final int colorclass;
+ public final int serial = max_serial++;
+ public boolean occluded;
+
T(E e1, int colorclass) {
this.e1 = e1;
E e2 = e1.next;
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;
+
+ if (e1().bindingGroupSize() <= 1) return false;
+ if (e2().bindingGroupSize() <= 1) return false;
+ if (e3().bindingGroupSize() <= 1) return false;
+
return true;
}
+ public void glTriangle(GL gl, Matrix m) {
+ gl.glPushName(serial);
+ gl.glBegin(GL.GL_TRIANGLES);
+ glVertices(gl, m);
+ gl.glEnd();
+ gl.glPopName();
+ }
+
/** issue gl.glVertex() for each of the triangle's points */
- public void glVertices(GL gl) {
+ public void glVertices(GL gl, Matrix m) {
if (!shouldBeDrawn()) return;
- norm().glNormal(gl);
- Point p1 = v1().goodp;
- Point p2 = v2().goodp;
- Point p3 = v3().goodp;
- p1.glVertex(gl);
- p2.glVertex(gl);
- p3.glVertex(gl);
+ super.glVertices(gl, m);
}
-
}
}