import javax.swing.*;
import javax.media.opengl.*;
import javax.media.opengl.glu.*;
+import edu.berkeley.qfat.geom.*;
import edu.wlu.cs.levy.CG.KDTree;
+import edu.berkeley.qfat.geom.Point;
public class Geom implements Iterable<Geom.T> {
public static float EPSILON = (float)0.0001;
public static Random random = new Random();
- private HashMap<P,V> ps = new HashMap<P,V>();
+ private HashMap<Point,Vert> ps = new HashMap<Point,Vert>();
public HashSet<E> es = new HashSet<E>();
public ArrayList<T> ts = new ArrayList<T>();
public Iterator<T> iterator() { return ts.iterator(); }
- public P origin() { return new P(0, 0, 0); }
+ public Point origin() { return new Point(0, 0, 0); }
public Geom score_against = null;
public double score = 0;
public float rescore() {
int num = 0;
double dist = 0;
- HashSet<V> done = new HashSet<V>();
+ HashSet<Vert> done = new HashSet<Vert>();
for(T t : ts)
- for(V p : new V[] { t.p1(), t.p2(), t.p3() }) {
+ for(Vert p : new Vert[] { 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() })
+ for(Vert p : new Vert[] { 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() })
+ for(Vert p : new Vert[] { t.p1(), t.p2(), t.p3() })
p.kdinsert();
return (float)(dist/num);
}
- public void transform(M m) {
- ArrayList<V> set = new ArrayList<V>();
+ public void transform(Matrix m) {
+ ArrayList<Vert> set = new ArrayList<Vert>();
set.addAll(ps.values());
- for(V v : set) v.transform(m);
+ for(Vert v : set) v.transform(m);
}
public Vec diagonal() {
float max_x = Float.MIN_VALUE;
float max_y = Float.MIN_VALUE;
float max_z = Float.MIN_VALUE;
- for(P p : ps.keySet()) {
+ for(Point 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;
return new Vec(max_x - min_x, max_y - min_y, max_z - min_z);
}
- public P centroid() {
+ public Point 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()) {
+ for(Point 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.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,
+ return new Point((float)(max_x + min_x)/2,
(float)(max_y + min_y)/2,
(float)(max_z + min_z)/2);
}
- public T newT(V p12, V p23, V p31, Vec norm) {
+ public T newT(Vert p12, Vert p23, Vert p31, Vec norm) {
Vec norm2 = p31.p.minus(p12.p).cross(p23.p.minus(p12.p));
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) { V p = p12; p12=p23; p23 = p; }
+ //if (Math.abs(dot) < EPointSILON) throw new Error("dot products within epsilon of each other: "+norm+" "+norm2);
+ if (dot < 0) { Vert p = p12; p12=p23; p23 = p; }
return newT(p12, p23, p31);
}
double total = 0;
for(T t : ts) {
double area = t.area();
- Vec origin_to_centroid = new Vec(new P(0, 0, 0), t.centroid());
+ Vec origin_to_centroid = new Vec(new Point(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 V nearest(P p) {
+ public Vert nearest(Point p) {
Object[] results;
try { results = kd.nearest(new double[]{p.x,p.y,p.z},1); } catch (Exception e) { throw new Error(e); }
- return (V)results[0];
+ return (Vert)results[0];
}
- public T newT(V p1, V p2, V p3) {
+ public T newT(Vert p1, Vert p2, Vert p3) {
E e12 = p1.makeE(p2);
E e23 = p2.makeE(p3);
E e31 = p3.makeE(p1);
}
}
- public final class V {
- public P p;
- public V(P p) {
+ public final class Vert {
+ public Point p;
+ public Vert(Point p) {
this.p = p;
if (ps.get(p) != null) throw new Error();
ps.put(this.p, this);
}
watch = null;
}
- public V partner() { return watch==null ? this : watch; }
- public V watchback() { return watch_count==0 ? partner() :
- register(new P(watch_x/watch_count, watch_y/watch_count, watch_z/watch_count)); }
+ public Vert partner() { return watch==null ? this : watch; }
+ public Vert watchback() { return watch_count==0 ? partner() :
+ register(new Point(watch_x/watch_count, watch_y/watch_count, watch_z/watch_count)); }
public void rescore() {
if (score_against == null) return;
oldscore = 0;
if (watch != null) unscore();
- V po = this;
+ Vert po = this;
if (watch == null) {
watch = score_against.nearest(po.p);
/** does NOT update bound pairs! */
- public boolean transform(M m) {
+ public boolean transform(Matrix m) {
// FIXME: screws up kdtree
// FIXME: screws up hashmap
unscore();
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 P(newx, newy, newz);
+ this.p = new Point(newx, newy, newz);
// FIXME: what if we move onto exactly where another point is?
- ps.put(this.p,(V)this);
+ ps.put(this.p,(Vert)this);
} catch (Exception e) {
throw new RuntimeException(e);
}
return good;
}
public boolean move(Vec v) {
- M m = new M(v);
- V p = this;
+ Matrix m = new Matrix(v);
+ Vert p = this;
boolean good = true;
do {
good &= p.transform(m);
return good;
}
- public E makeE(V p2) {
+ public E makeE(Vert p2) {
E e = getE(p2);
if (e != null) return e;
e = p2.getE(this);
return null;
}
- public E getE(V p2) {
+ public E getE(Vert p2) {
E e = this.e;
do {
if (e==null) return null;
return null;
}
- public boolean isBoundTo(V p) {
- V px = p;
+ public boolean isBoundTo(Vert p) {
+ Vert px = p;
do {
if (px==this) return true;
px = px.bound_to;
return false;
}
- 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) {
+ 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;
- V temp_bound_to = p.bound_to;
- M temp_binding = p.binding;
+ 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;
return norm.norm();
}
- V bound_to = this;
+ Vert bound_to = this;
int watch_count;
float watch_x;
float watch_y;
float watch_z;
- V watch;
+ Vert watch;
E e; // some edge *leaving* this point
- M binding = new M();
+ Matrix binding = new Matrix();
float oldscore = 0;
boolean inserted = false;
}
return e.length() > length() ? 1 : -1;
}
- public final V p1, p2;
+ public final Vert p1, p2;
T t; // triangle to our "left"
E prev; // previous half-edge
E next; // next 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 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;
}
boolean shattered = false;
- public V shatter() { return shatter(register(midpoint()), null, null); }
- public V shatter(V mid, BindingGroup bg1, BindingGroup bg2) {
+ public Vert shatter() { return shatter(register(midpoint()), null, null); }
+ public Vert shatter(Vert mid, BindingGroup bg1, BindingGroup bg2) {
if (shattered) return mid;
shattered = true;
- V r = next.p2;
+ Vert r = next.p2;
E next = this.next;
E prev = this.prev;
}
/** creates an isolated edge out in the middle of space */
- public E(V p1, V p2) {
+ public E(Vert p1, Vert p2) {
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, V p2) {
+ public E(E prev, Vert p2) {
this.p1 = prev.p2;
this.p2 = p2;
this.prev = prev;
this.pair = pair;
sync();
}
- public P midpoint() { return new P((p1.p.x+p2.p.x)/2, (p1.p.y+p2.p.y)/2, (p1.p.z+p2.p.z)/2); }
- public boolean has(V v) { return v==p1 || v==p2; }
+ 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 float length() { return p1.p.minus(p2.p).mag(); }
public String toString() { return p1+"->"+p2; }
}
ts.remove(this);
}
- public V nearest(P p) {
+ public Vert nearest(Point p) {
float d1 = p1().p.distance(p);
float d2 = p2().p.distance(p);
float d3 = p3().p.distance(p);
this.color = color;
}
- public V p1() { return e1.p1; }
- public V p2() { return e1.p2; }
- public V p3() { return e1.next.p2; }
+ public Vert p1() { return e1.p1; }
+ public Vert p2() { return e1.p2; }
+ public Vert p3() { return e1.next.p2; }
public E e1() { return e1; }
public E e2() { return e1.next; }
public E e3() { return e1.prev; }
public Vec norm() { return p2().p.minus(p1().p).cross(p3().p.minus(p1().p)).norm(); }
public boolean hasE(E e) { return e1==e || e1.next==e || e1.prev==e; }
- public boolean has(V v) { return p1()==v || p2()==v || p3()==v; }
+ public boolean has(Vert v) { return p1()==v || p2()==v || p3()==v; }
public float area() {
return (float)Math.abs(0.5 * e1().length() * new Vec(p1().p, p2().p).norm().dot(new Vec(p2().p, p3().p)));
p3().p.glVertex(gl);
}
- public P centroid() { return new P((p1().p.x+p2().p.x+p3().p.x)/3,
+ public Point centroid() { return new Point((p1().p.x+p2().p.x+p3().p.x)/3,
(p1().p.y+p2().p.y+p3().p.y)/3,
(p1().p.z+p2().p.z+p3().p.z)/3); }
public float diameter() {
}
- public V register(P p) { V v = ps.get(p); return v==null ? new V(p) : v; }
-
- //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
-
- /** point in 3-space; immutable */
- public static final class P {
- public final float x, y, z;
- public P(double x, double y, double z) { this((float)x, (float)y, (float)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 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 new P(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+")"; }
- public int hashCode() { return Float.floatToIntBits(x) ^ Float.floatToIntBits(y) ^ Float.floatToIntBits(z); }
- }
-
- /** vector in 3-space; immutable */
- public static final class Vec {
- public final float x, y, z;
- 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(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+">"; }
- }
-
- /** affine matrix; immutable */
- public static class 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 new P(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 Vec apply(Vec v) { return v; }
- public M invert() { return this; }
- public M times(M m) { return this; }
- }
+ public Vert register(Point p) { Vert v = ps.get(p); return v==null ? new Vert(p) : v; }
}
projects / anneal.git / blobdiff