private KDTree kd = new KDTree(3);
- public static float EPSILON = (float)0.000001;
+ public static float EPSILON = (float)0.0001;
public static Random random = new Random();
- private HashMap<P,P> ps = new HashMap<P,P>();
- private HashMap<E,E> es = new HashMap<E,E>();
- private HashSet<T> ts = new HashSet<T>();
+ private HashMap<P,V> ps = new HashMap<P,V>();
+ public HashSet<E> es = new HashSet<E>();
+ public ArrayList<T> ts = new ArrayList<T>();
public Iterator<T> iterator() { return ts.iterator(); }
- public P newP(double x, double y, double z) { return newP((float)x, (float)y, (float)z); }
- public P newP(float x, float y, float z) {
- P p = new P(x, y, z);
- P p2 = ps.get(p);
- if (p2 != null) return p2;
- ps.put(p,p);
- p.name = allname++;
- try { kd.insert(new double[]{p.x,p.y,p.z},p); } catch (Exception e) { throw new Error(e); }
- return p;
+ public P origin() { return newP(0, 0, 0); }
+
+ public Geom score_against = null;
+ public double score = 0;
+ public float score() {
+ return (float)score;
+ }
+
+ public float rescore() {
+ int num = 0;
+ double dist = 0;
+ HashSet<V> done = new HashSet<V>();
+ for(T t : ts)
+ for(V p : new V[] { t.p1(), t.p2(), t.p3() }) {
+ if (done.contains(p)) continue;
+ done.add(p);
+ p.rescore();
+ }
+ for(T t : ts)
+ for(V p : new V[] { t.p1(), t.p2(), t.p3() })
+ p.kdremove();
+ kd = new KDTree(3);
+ for(T t : ts)
+ for(V p : new V[] { t.p1(), t.p2(), t.p3() })
+ p.kdinsert();
+ return (float)(dist/num);
+ }
+
+ public void transform(M m) {
+ ArrayList<V> set = new ArrayList<V>();
+ set.addAll(ps.values());
+ for(V v : set) v.transform(m);
+ }
+
+ public Vec diagonal() {
+ float min_x = Float.MAX_VALUE;
+ float min_y = Float.MAX_VALUE;
+ float min_z = Float.MAX_VALUE;
+ float max_x = Float.MIN_VALUE;
+ float max_y = Float.MIN_VALUE;
+ float max_z = Float.MIN_VALUE;
+ for(P p : ps.keySet()) {
+ if (p.x < min_x) min_x = p.x;
+ if (p.y < min_y) min_y = p.y;
+ if (p.z < min_z) min_z = p.z;
+ if (p.x > max_x) max_x = p.x;
+ if (p.y > max_y) max_y = p.y;
+ if (p.z > max_z) max_z = p.z;
+ }
+ return new Vec(max_x - min_x, max_y - min_y, max_z - min_z);
+ }
+
+ public P centroid() {
+ float min_x = Float.MAX_VALUE;
+ float min_y = Float.MAX_VALUE;
+ float min_z = Float.MAX_VALUE;
+ float max_x = Float.MIN_VALUE;
+ float max_y = Float.MIN_VALUE;
+ float max_z = Float.MIN_VALUE;
+ for(P p : ps.keySet()) {
+ if (p.x < min_x) min_x = p.x;
+ if (p.y < min_y) min_y = p.y;
+ if (p.z < min_z) min_z = p.z;
+ if (p.x > max_x) max_x = p.x;
+ if (p.y > max_y) max_y = p.y;
+ if (p.z > max_z) max_z = p.z;
+ }
+ return new P((float)(max_x + min_x)/2,
+ (float)(max_y + min_y)/2,
+ (float)(max_z + min_z)/2);
}
+
+ public P newP(double x, double y, double z) { return newP((float)x, (float)y, (float)z); }
+ public P newP(float x, float y, float z) { return new P(x, y, z); }
- public T newT(P p12, P p23, P p31, V norm) {
- V norm2 = p31.minus(p12).cross(p23.minus(p12));
+ public T newT(V p12, V p23, V p31, Vec norm) {
+ Vec norm2 = p31.minus(p12).cross(p23.minus(p12));
float dot = norm.dot(norm2);
- if (Math.abs(dot) < EPSILON) throw new Error("dot products within epsilon of each other: "+norm+" "+norm2);
- if (dot < 0) { P p = p12; p12=p23; p23 = p; }
+ //if (Math.abs(dot) < EPSILON) throw new Error("dot products within epsilon of each other: "+norm+" "+norm2);
+ if (dot < 0) { V p = p12; p12=p23; p23 = p; }
return newT(p12, p23, p31);
}
- public T newT(P p1, P p2, P p3) {
+
+ public float volume() {
+ double total = 0;
+ for(T t : ts) {
+ double area = t.area();
+ Vec origin_to_centroid = new Vec(newP(0, 0, 0), t.centroid());
+ boolean facingAway = t.norm().dot(origin_to_centroid) > 0;
+ double height = Math.abs(t.norm().dot(origin_to_centroid));
+ total += ((facingAway ? 1 : -1) * area * height) / 3.0;
+ }
+ return (float)total;
+ }
+
+ public P nearest(P p) {
+ Object[] results;
+ try { results = kd.nearest(new double[]{p.x,p.y,p.z},1); } catch (Exception e) { throw new Error(e); }
+ return (P)results[0];
+ }
+
+ public T newT(V p1, V p2, V p3) {
+ p1 = p1.register();
+ p2 = p2.register();
+ p3 = p3.register();
E e12 = p1.makeE(p2);
E e23 = p2.makeE(p3);
E e31 = p3.makeE(p1);
e23.makeAdjacent(e31);
e31.makeAdjacent(e12);
}
- T ret = e12.newT();
+ T ret = e12.makeT();
if (e12.t == null) throw new Error();
if (e23.t == null) throw new Error();
if (e31.t == null) throw new Error();
return ret;
}
- private char allname = 'A';
+ public final class V extends P {
+ public P p = this;
+ public V(P p) {
+ super(p.x, p.y, p.z);
+ if (ps.get(p) != null) throw new Error();
+ this.p = p;
+ ps.put(this.p, this);
+ }
+ /*
+ public int hashCode() {
+ throw new Error();
+ }
+ */
+ public void kdremove() {
+ if (!inserted) return;
+ inserted = false;
+ try { kd.delete(new double[]{p.x,p.y,p.z}); } catch (Exception e) { }
+ }
+ public void kdinsert() {
+ if (inserted) return;
+ inserted = true;
+ try { kd.insert(new double[]{p.x,p.y,p.z},this); } catch (Exception e) { throw new Error(e); }
+ }
+
+ public float score() { return oldscore; }
+ public void unscore() {
+ if (watch == null) return;
+ watch.watch_x -= x;
+ watch.watch_y -= y;
+ watch.watch_z -= z;
+ watch.watch_count--;
+ if (watch.watch_count==0) {
+ watch.watch_x = 0;
+ watch.watch_y = 0;
+ watch.watch_z = 0;
+ }
+ watch = null;
+ }
+ public V partner() { return watch==null ? this : watch; }
+ public V watchback() { return watch_count==0 ? partner() :
+ newP(watch_x/watch_count, watch_y/watch_count, watch_z/watch_count).register(); }
+ public void rescore() {
+ if (score_against == null) return;
+
+ score -= oldscore;
+ oldscore = 0;
+
+ if (watch != null) unscore();
+ V po = this;
+ if (watch == null) {
+ watch = (V)score_against.nearest(po);
+
+ // don't attract to vertices that face the other way
+ if (watch.norm().dot(norm()) < 0) {
+ watch = null;
+ } else {
+ watch.watch_x += po.x;
+ watch.watch_y += po.y;
+ watch.watch_z += po.z;
+ watch.watch_count++;
+ }
+ }
- /** [UNIQUE] point in 3-space */
- public final class P {
- char name;
+ double s1, s2;
+ if (watch_count==0) s1 = 0;
+ else s1 = this.distance(watch_x/watch_count, watch_y/watch_count, watch_z/watch_count);
+ s2 = watch==null ? 0 : po.distance(watch);
+ oldscore = (float)(s1 + s2);
+ score += oldscore;
+ }
- float x, y, z;
- private E e; // some edge *leaving* this point
- private M binding = new M();
- private P bound_to = this;
+ /** does NOT update bound pairs! */
+ public boolean transform(M m) {
+ // FIXME: screws up kdtree
+ // FIXME: screws up hashmap
+ unscore();
+ try {
+ if (ps.get(this.p)==null) throw new Error();
+ ps.remove(this.p);
+ 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.x = newx;
+ this.y = newy;
+ this.z = newz;
+ this.p = new P(newx, newy, newz);
+ // FIXME: what if we move onto exactly where another point is?
+ ps.put(this.p,(V)this);
+ } catch (Exception e) {
+ throw new RuntimeException(e);
+ }
+ rescore();
+ boolean good = true;
+ /*
+ for(T t : ts) {
+ for(E e = this.e; ;) {
+ if (e.intersects(t)) { good = false; break; }
+ e = e.pair.next;
+ if (e == this.e) break;
+ }
+ }
+ */
+ /*
+ if (t==this.t) continue;
+ if (this.intersects(t)) good = false;
+ }
+ */
+ return good;
+ }
+ public boolean move(Vec v) {
+ M m = new M(v);
+ V p = this;
+ boolean good = true;
+ do {
+ good &= p.transform(m);
+ v = v.times(binding); // bleh wrong
+ p = p.bound_to;
+ } while (p != this);
+ return good;
+ }
- public E makeE(P p2) {
+ public E makeE(V p2) {
E e = getE(p2);
if (e != null) return e;
e = p2.getE(this);
return null;
}
- public E getE(P p2) {
+ public E getE(V p2) {
+ p2 = p2.register();
E e = this.e;
do {
if (e==null) return null;
return null;
}
- public boolean isBoundTo(P p) {
- P px = p;
+ public boolean isBoundTo(V p) {
+ p = p.register();
+ V px = p;
do {
if (px==this) return true;
px = px.bound_to;
return false;
}
- public void unbind() { bound_to = null; binding = null; }
- public void bind(P p) { bind(p, new M()); }
- public void bind(P p, M binding) {
+ public void unbind() { bound_to = this; binding = new M(); }
+ public void bind(V p) { bind(p, new M()); }
+ public void bind(V p, M binding) {
+ p = p.register();
if (isBoundTo(p)) return;
- P temp_bound_to = p.bound_to;
+ V temp_bound_to = p.bound_to;
M 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 move(V v) {
- P p = this;
+ public Vec norm() {
+ Vec norm = new Vec(0, 0, 0);
+ E e = this.e;
do {
- p.x = p.x+v.x;
- p.y = p.y+v.y;
- p.z = p.z+v.z;
- v = v.times(binding);
- p = p.bound_to;
- } while (p != this);
- }
-
- /** the next edge going around this point [FIXME: direction] */
- /*
- public E nextE(E e) {
- //e.other(this); // sanity check
- if (e.t != null && e.t.nextE(e).has(this)) return e.t.nextE(e);
- if (e.pair.t != null && e.pair.t.nextE(e).has(this)) return e.pair.nextE(e.pair);
- throw new Error();
- }
- */
-
- public P(float x, float y, float z) {
- this.x = x; this.y = y; this.z = z;
- }
-
- public P nearest() {
- Object[] results;
- try { results = kd.nearest(new double[]{x,y,z},2); } catch (Exception e) { throw new Error(e); }
- if (results[0] != this) throw new Error();
- return (P)results[1];
+ 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();
}
+ V bound_to = this;
+
+ int watch_count;
+ float watch_x;
+ float watch_y;
+ float watch_z;
+ V watch;
+ E e; // some edge *leaving* this point
+ M binding = new M();
+ float oldscore = 0;
+ boolean inserted = false;
+ }
- public V minus(P p) { return new V(x-p.x, y-p.y, z-p.z); }
- public P plus(V v) { return newP(x+v.x, y+v.y, z+v.z); }
- public P times(M m) { return m.apply(this); }
- public boolean equals(Object o) {
- if (o==null || !(o instanceof P)) return false;
- P p = (P)o;
- return p.x==x && p.y==y && p.z==z;
- }
+ public class P {
+ float x, y, z;
+ public P(float x, float y, float z) { this.x = x; this.y = y; this.z = z; }
+ public float distance(P p) { return distance(p.x, p.y, p.z); }
+ public float distance(float ox, float oy, float oz) { return (float)Math.sqrt((x-ox)*(x-ox)+(y-oy)*(y-oy)+(z-oz)*(z-oz)); }
+ public V register() { V v = ps.get(this); return v==null ? new V(this) : v; }
+ public P times(M m) { return m.times(this); }
+ public Vec minus(P p) { return new Vec(x-p.x, y-p.y, z-p.z); }
+ public P plus(Vec v) { return newP(x+v.x, y+v.y, z+v.z); }
+ public boolean equals(Object o) { return o!=null && (o instanceof P) && ((P)o).x==x && ((P)o).y==y && ((P)o).z==z; }
+ public void glVertex(GL gl) { _glVertex(gl); }
+ private void _glVertex(GL gl) { gl.glVertex3f(x, y, z); }
+ public String toString() { return "("+x+","+y+","+z+")"; }
// FIXME: moving a point alters its hashCode
public int hashCode() {
return
Float.floatToIntBits(y) ^
Float.floatToIntBits(z);
}
- public void glVertex(GL gl) { gl.glVertex3f(x, y, z); }
- //public String toString() { return ""+name; }
- public String toString() { return "("+x+","+y+","+z+")"; }
- public V norm() {
- V norm = new V(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();
- }
}
/** vector in 3-space */
- public final class V {
+ public final class Vec {
public final float x, y, z;
- public V(double x, double y, double z) { this((float)x, (float)y, (float)z); }
- public V(float x, float y, float z) { this.x = x; this.y = y; this.z = z; }
- public V cross(V v) { return new V(y*v.z-z*v.y, z*v.x-x*v.z, x*v.y-y*v.x); }
- public V plus(V v) { return new V(x+v.x, y+v.y, z+v.z); }
- public V norm() { return div(mag()); }
- public V times(M m) { return m.apply(this); }
+ public Vec(double x, double y, double z) { this((float)x, (float)y, (float)z); }
+ public Vec(float x, float y, float z) { this.x = x; this.y = y; this.z = z; }
+ public Vec(P p1, P p2) { this(p2.x-p1.x, p2.y-p1.y, p2.z-p1.z); }
+ public Vec cross(Vec v) { return new Vec(y*v.z-z*v.y, z*v.x-x*v.z, x*v.y-y*v.x); }
+ public Vec plus(Vec v) { return new Vec(x+v.x, y+v.y, z+v.z); }
+ public Vec norm() { return mag()==0 ? this : div(mag()); }
+ public Vec times(M m) { return m.apply(this); }
public float mag() { return (float)Math.sqrt(x*x+y*y+z*z); }
- public float dot(V v) { return x*v.x + y*v.y + z*v.z; }
- public V times(float mag) { return new V(x*mag, y*mag, z*mag); }
- public V div(float mag) { return new V(x/mag, y/mag, z/mag); }
+ public float dot(Vec v) { return x*v.x + y*v.y + z*v.z; }
+ public Vec times(float mag) { return new Vec(x*mag, y*mag, z*mag); }
+ public Vec div(float mag) { return new Vec(x/mag, y/mag, z/mag); }
public String toString() { return "<"+x+","+y+","+z+">"; }
}
+ 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);
+ }
+ }
+ }
+
/** [UNIQUE] an edge */
- public final class E {
- public final P p1, p2;
- T t;
- E prev;
- E next;
- E pair;
+ public final class E implements Comparable<E> {
+
+ public boolean intersects(T t) {
+ double A0=t.p1().x, A1=t.p1().y, A2=t.p1().z;
+ double B0=t.p2().x, B1=t.p2().y, B2=t.p2().z;
+ double C0=t.p3().x, C1=t.p3().y, C2=t.p3().z;
+ double j0=p1.x, j1=p1.y, j2=p1.z;
+ double k0=p2.x, k1=p2.y, k2=p2.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 int compareTo(E e) {
+ return e.length() > length() ? 1 : -1;
+ }
+
+ public final V 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 void bind(E e) { bind(e, new M()); }
+ public void bind(E e, M 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);
+ }
+ }
+
+ boolean shattered = false;
+ public V shatter() { return shatter(midpoint().register(), null, null); }
+ public V shatter(V mid, BindingGroup bg1, BindingGroup bg2) {
+ mid = mid.register();
+ if (shattered) return mid;
+ shattered = true;
+
+ V r = next.p2;
+ E next = this.next;
+ E prev = this.prev;
+
+ if (bg1==null) bg1 = new BindingGroup();
+ if (bg2==null) bg2 = new BindingGroup();
+ for(E e : bg.es) e.shatter(e.midpoint().register(), bg1, bg2);
+ pair.shatter();
+ destroy();
+
+ newT(r, p1, mid);
+ newT(r, mid, p2);
+ bg1.add(p1.getE(mid));
+ bg2.add(mid.getE(p2));
+ return mid;
+ }
+
+ public boolean destroyed = false;
+ public void destroy() {
+ if (destroyed) return;
+ destroyed = true;
+ pair.destroyed = true;
+ if (next.t != null) next.t.destroy();
+ if (prev.t != null) prev.t.destroy();
+ if (pair.next.t != null) ts.remove(pair.next.t);
+ if (pair.prev.t != null) ts.remove(pair.prev.t);
+ next.t = null;
+ prev.t = null;
+ pair.next.t = null;
+ pair.prev.t = null;
+ this.bg = null;
+ pair.bg = 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;
+ es.remove(this);
+ es.remove(pair);
+ avgedge -= this.length();
+ avgedge -= pair.length();
+ numedges--;
+ numedges--;
+ }
private void sync() {
this.prev.next = 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;
+ es.add(this);
+ if (!added) {
+ added = true;
+ numedges++;
+ avgedge += length();
+ }
}
+ private boolean added = false;
- public T newT() {
- if (t==null) t = new T(this);
- return t;
- }
+ public T makeT() { return t==null ? (t = new T(this)) : t; }
/** angle between this half-edge and the next */
public double angle() {
- V v1 = next.p2.minus(p2);
- V v2 = this.p1.minus(p2);
+ Vec v1 = next.p2.minus(p2);
+ Vec v2 = this.p1.minus(p2);
return Math.acos(v1.norm().dot(v2.norm()));
}
}
/** creates an isolated edge out in the middle of space */
- public E(P p1, P p2) {
+ public E(V p1, V p2) {
+ p1 = p1.register();
+ p2 = p2.register();
if (p1==p2) throw new Error("attempt to create edge with single vertex: " + p1);
this.p1 = p1;
this.p2 = p2;
}
/** adds a new half-edge from prev.p2 to p2 */
- public E(E prev, P p2) {
+ public E(E prev, V p2) {
+ p2 = p2.register();
this.p1 = prev.p2;
this.p2 = p2;
this.prev = prev;
this.pair = pair;
sync();
}
- public P midpoint() { return newP((p1.x+p2.x)/2, (p1.y+p2.y)/2, (p1.z+p2.z)/2); }
- public boolean has(P p) { return p==p1 || p==p2; }
+ public P midpoint() { return newP((p1.x+p2.x)/2, (p1.y+p2.y)/2, (p1.z+p2.z)/2).register(); }
+ public boolean has(P p) {
+ p = p.register();
+ return p==p1 || p==p2;
+ }
public float length() { return p1.minus(p2).mag(); }
public String toString() { return p1+"->"+p2; }
- public int hashCode() { return p1.hashCode() ^ p2.hashCode(); }
- public boolean equals(Object o) { return o!=null && o instanceof E && this.p1 == ((E)o).p1 && this.p2 == ((E)o).p2; }
}
/** [UNIQUE] a triangle (face) */
public final E e1;
public final int color;
- public void bind(T t2, int rot) {
- // FIXME
+ public void destroy() {
+ ts.remove(this);
+ }
+
+ public P nearest(P p) {
+ float d1 = p1().distance(p);
+ float d2 = p2().distance(p);
+ float d3 = p3().distance(p);
+ if (d1 < d2 && d1 < d3) return p1();
+ if (d2 < d3) return p2();
+ return p3();
}
T(E e1) {
E e3 = e2.next;
if (e1==e2 || e1==e3) throw new Error();
if (e3.next!=e1) throw new Error();
- if (e1.t!=null || e2.t!=null || e3.t!=null) throw new Error("non-manifold surface");
+ if (e1.t!=null || e2.t!=null || e3.t!=null)
+ throw new Error("non-manifold surface or disagreeing normals");
e1.t = this;
e1.next.t = this;
e1.next.next.t = this;
- /*
- if (e1.pair.t != null && e1.pair.t.nextP(e1) != prevP(e1)) throw new Error("normals disagree!");
- if (e2.pair.t != null && e2.pair.t.nextP(e2) != prevP(e2)) throw new Error("normals disagree!");
- if (e3.pair.t != null && e3.pair.t.nextP(e3) != prevP(e3)) throw new Error("normals disagree!");
- */
+
// FIXME: check for sealed/watertight surface once construction is complete (and infer normal(s)?)
int color = Math.abs(random.nextInt());
-
while(true) {
color = color % 4;
if (e1().pair.t != null && color == e1().pair.t.color) { color++; continue; }
// FIXME unnecssary
ts.add(this);
+ p1().kdinsert();
+ p2().kdinsert();
+ p3().kdinsert();
this.color = color;
}
- /*
- public int hashCode() { return e1().hashCode() ^ e2().hashCode() ^ e3.hashCode(); }
- public boolean equals(Object o) {
- if (o==null || !(o instanceof T)) return false;
- T t = (T)o;
- return e1==t.e1() || e1==t.e2() || e1==t.e3();
- }
- */
- public P p1() { return e1.p1; }
- public P p2() { return e1.p2; }
- public P p3() { return e1.next.p2; }
+ public V p1() { return e1.p1; }
+ public V p2() { return e1.p2; }
+ public V p3() { return e1.next.p2; }
public E e1() { return e1; }
public E e2() { return e1.next; }
public E e3() { return e1.prev; }
- public V norm() { return p2().minus(p1()).cross(p3().minus(p1())).norm(); }
+ public Vec norm() { return p2().minus(p1()).cross(p3().minus(p1())).norm(); }
public boolean hasE(E e) { return e1==e || e1.next==e || e1.prev==e; }
public boolean has(P p) { return p1()==p || p2()==p || p3()==p; }
+
+ public float area() {
+ return (float)Math.abs(0.5 * e1().length() * new Vec(p1(), p2()).norm().dot(new Vec(p2(), p3())));
+ }
+
public void glVertices(GL gl) {
p1().glVertex(gl);
p2().glVertex(gl);
return Math.max(Math.max(e1().length(), e2().length()), e3().length()) / 2;
}
- /** returns the next triangle walking clockwise around the vertex normal */
- /*
- public T nextT(P p) { return prevE(p).pair.t; }
- public T prevT(P p) { return nextE(p).pair.t; }
-
- public E nextE(E e) {
- if (e==e2) return e1;
- if (e==e3) return e2;
- if (e==e1) return e3;
- throw new Error("triangle " + this + " does not own edge " + e);
- }
-
- public E prevE(E e) {
- if (e==e2) return e3;
- if (e==e3) return e1;
- if (e==e1) return e2;
- throw new Error("triangle " + this + " does not own edge " + e);
- }
- // edge "after" this point, moving clockwise around the normal
- public E nextE(P p) {
- if (p == e1.shared(e2)) return e1;
- else if (p == e2.shared(e3)) return e2;
- else if (p == e3.shared(e1)) return e3;
- else throw new Error("triangle " + this + " does not own point " + p);
- }
- // edge "before" this point, moving clockwise around the normal
- public E prevE(P p) {
- if (p == e1.shared(e2)) return e2;
- else if (p == e2.shared(e3)) return e3;
- else if (p == e3.shared(e1)) return e1;
- else throw new Error("triangle " + this + " does not own point " + p);
- }
- */
}
/** matrix */
public class M {
- public M() { }
+ //
+ // [ a b c d ] [ x ]
+ // [ e f g h ] [ y ]
+ // [ i j k l ] [ z ]
+ // [ 0 0 0 1 ] [ 1 ]
+ //
+ public final float a, b, c, d, e, f, g, h, i, j, k, l;
+ public M() { this(1); }
+ public M(float scale) {
+ a = f = k = scale;
+ l = h = d = e = b = i = c = j = g = 0;
+ }
+ public M(float scalex, float scaley, float scalez) {
+ a = scalex;
+ f = scaley;
+ k = scalez;
+ l = h = d = e = b = i = c = j = g = 0;
+ }
+ public M(Vec translate) {
+ d = translate.x; h = translate.y; l = translate.z;
+ a = f = k = 1;
+ b = c = e = g = i = j = 0;
+ }
+ public M(float a, float b, float c, float d, float e, float f, float g, float h, float i, float j, float k, float l) {
+ this.a = a; this.b = b; this.c = c; this.d = d; this.e = e; this.f = f; this.g = g; this.h = h; this.i = i;
+ this.j = j; this.k = k; this.l = l;
+ }
+ public M times(float x) {
+ return new M(a*x, b*x, c*x, d*x, e*x, f*x, g*x, h*x, i*x, j*x, k*x, l*x);
+ }
+ public M(Vec axis, float angle) {
+ double q = Math.cos(angle);
+ double s = Math.sin(angle);
+ double t = 1.0 - q;
+ a = (float)(q + axis.x*axis.x*t);
+ f = (float)(q + axis.y*axis.y*t);
+ k = (float)(q + axis.z*axis.z*t);
+ double tmp1 = axis.x*axis.y*t;
+ double tmp2 = axis.z*s;
+ e = (float)(tmp1 + tmp2);
+ b = (float)(tmp1 - tmp2);
+ tmp1 = axis.x*axis.z*t;
+ tmp2 = axis.y*s;
+ i = (float)(tmp1 - tmp2);
+ c = (float)(tmp1 + tmp2);
+ tmp1 = axis.y*axis.z*t;
+ tmp2 = axis.x*s;
+ j = (float)(tmp1 + tmp2);
+ g = (float)(tmp1 - tmp2);
+ d = h = l = 0;
+ }
+ public P times(P p) {
+ return newP(a*p.x + b*p.y + c*p.z + d,
+ e*p.x + f*p.y + g*p.z + h,
+ i*p.x + j*p.y + k*p.z + l);
+ }
public P apply(P p) { return p; }
- public V apply(V v) { return v; }
+ public Vec apply(Vec v) { return v; }
public M invert() { return this; }
public M times(M m) { return this; }
}
+ public void unbind() {
+
+ for(Geom.T t : this) {
+ t.p1().unbind();
+ t.p2().unbind();
+ t.p3().unbind();
+ }
+
+ }
+ public void bind() {
+ for(Geom.T t : this) {
+ t.e1().dobind();
+ t.e2().dobind();
+ t.e3().dobind();
+ }
+ }
+ public int numedges = 0;
+ public float avgedge = 0;
}
projects / anneal.git / blobdiff