X-Git-Url: http://git.megacz.com/?p=anneal.git;a=blobdiff_plain;f=src%2Fedu%2Fberkeley%2Fqfat%2FMesh.java;h=374f01299432928f43c83ee029d9f54854457816;hp=e530ad7fc01672141f2152de3530e339ecf64421;hb=1cb56f053dc0a26302e777b2f82aa043ee780950;hpb=22da29ec26d486c1d396bdbe4971994b17987504 diff --git a/src/edu/berkeley/qfat/Mesh.java b/src/edu/berkeley/qfat/Mesh.java index e530ad7..374f012 100644 --- a/src/edu/berkeley/qfat/Mesh.java +++ b/src/edu/berkeley/qfat/Mesh.java @@ -15,8 +15,8 @@ public class Mesh implements Iterable { public static Random random = new Random(); private PointSet pointset = new PointSet(); - public Vert nearest(Point p) { return pointset.nearest(p); } - private HashMap verts = new HashMap(); + + public Iterable vertices() { return pointset; } public Iterable edges() { return @@ -37,14 +37,12 @@ public class Mesh implements Iterable { } public Iterator iterator() { - for(Vert v : verts.values()) + for(Vert v : pointset) if (v.e != null && v.e.t != null) return new FaceIterator(v); return new FaceIterator(); } - public Point origin() { return new Point(0, 0, 0); } - public Mesh score_against = null; public double score = 0; public float score() { return (float)score; } @@ -78,60 +76,16 @@ public class Mesh implements Iterable { done.add(p); p.rescore(); } - for(T t : this) - for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) - p.kdremove(); - pointset.clear(); - for(T t : this) - for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) - p.kdinsert(); return (float)(dist/num); } public void transform(Matrix m) { ArrayList set = new ArrayList(); - set.addAll(verts.values()); + for (Vert v : pointset) + set.add(v); for(Vert 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(Point p : verts.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 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(Point p : verts.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 Point((float)(max_x + min_x)/2, - (float)(max_y + min_y)/2, - (float)(max_z + min_z)/2); - } - public float volume() { double total = 0; for(T t : this) { @@ -144,7 +98,6 @@ public class Mesh implements Iterable { return (float)total; } - public class BindingGroup { public HashSet es = new HashSet(); public BindingGroup() { } @@ -164,26 +117,30 @@ public class Mesh implements Iterable { } } - public Vert register(Point p) { Vert v = verts.get(p); return v==null ? new Vert(p) : v; } + 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 Point p; + E e; // some edge *leaving* this point + + Vert bound_to = this; + int watch_count; + float watch_x; + float watch_y; + float watch_z; + Vert watch; + Matrix binding = new Matrix(); + float oldscore = 0; + boolean inserted = false; + public Point getPoint() { return p; } private Vert(Point p) { this.p = p; - if (verts.get(p) != null) throw new Error(); - verts.put(this.p, this); - } - public void kdremove() { - if (!inserted) return; - inserted = false; - pointset.remove(this); - } - public void kdinsert() { - if (inserted) return; - inserted = true; + if (pointset.get(p) != null) throw new Error(); pointset.add(this); } - public float score() { return oldscore; } public void unscore() { if (watch == null) return; @@ -199,8 +156,8 @@ public class Mesh implements Iterable { watch = null; } 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 Point watchback() { return watch_count==0 ? partner().p : + new Point(watch_x/watch_count, watch_y/watch_count, watch_z/watch_count); } public void rescore() { if (score_against == null) return; @@ -213,7 +170,7 @@ public class Mesh implements Iterable { watch = score_against.nearest(po.p); // don't attract to vertices that face the other way - if (watch.norm().dot(norm()) < 0) { + if (watch.e == null || watch.norm().dot(norm()) < 0) { watch = null; } else { watch.watch_x += po.p.x; @@ -233,18 +190,16 @@ public class Mesh implements Iterable { /** does NOT update bound pairs! */ public boolean transform(Matrix m) { - // FIXME: screws up kdtree - // FIXME: screws up hashmap unscore(); try { - if (verts.get(this.p)==null) throw new Error(); - verts.remove(this.p); + 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); // FIXME: what if we move onto exactly where another point is? - verts.put(this.p,(Vert)this); + pointset.add(this); } catch (Exception e) { throw new RuntimeException(e); } @@ -278,15 +233,6 @@ public class Mesh implements Iterable { return good; } - public E makeE(Vert p2) { - E e = getE(p2); - if (e != null) return e; - e = p2.getE(this); - if (this.e == null && p2.e == null) return this.e = new E(this, p2); - if (this.e == null && p2.e != null) return p2.makeE(this).pair; - return new E(getFreeIncident(), p2); - } - public E getFreeIncident() { E ret = getFreeIncident(e, e); if (ret != null) return ret; @@ -304,6 +250,11 @@ public class Mesh implements Iterable { return null; } + public E getE(Point p2) { + Vert v = pointset.get(p2); + if (v==null) return null; + return getE(v); + } public E getE(Vert p2) { E e = this.e; do { @@ -343,105 +294,20 @@ public class Mesh implements Iterable { } while(e != this.e); return norm.norm(); } - - Vert bound_to = this; - int watch_count; - float watch_x; - float watch_y; - float watch_z; - Vert watch; - E e; // some edge *leaving* this point - Matrix binding = new Matrix(); - float oldscore = 0; - boolean inserted = false; } /** [UNIQUE] an edge */ public final class E implements Comparable { - 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 int compareTo(E e) { - return e.length() > length() ? 1 : -1; - } - public final Vert 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 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); } @@ -455,8 +321,8 @@ public class Mesh implements Iterable { } boolean shattered = false; - public Vert shatter() { return shatter(register(midpoint()), null, null); } - public Vert shatter(Vert mid, BindingGroup bg1, BindingGroup bg2) { + public Point shatter() { return shatter(midpoint(), null, null); } + public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2) { if (shattered) return mid; shattered = true; @@ -466,14 +332,14 @@ public class Mesh implements Iterable { if (bg1==null) bg1 = new BindingGroup(); if (bg2==null) bg2 = new BindingGroup(); - for(E e : bg.es) e.shatter(register(e.midpoint()), bg1, bg2); + for(E e : bg.es) e.shatter(e.midpoint(), bg1, bg2); pair.shatter(); destroy(); - newT(r, p1, mid, null); - newT(r, mid, p2, null); + newT(r.p, p1.p, mid, null); + newT(r.p, mid, p2.p, null); bg1.add(p1.getE(mid)); - bg2.add(mid.getE(p2)); + bg2.add(p2.getE(mid).pair); return mid; } @@ -547,16 +413,22 @@ public class Mesh implements Iterable { } /** creates an isolated edge out in the middle of space */ - 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; + 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); this.prev = this.next = this.pair = new E(this, this, this); + this.p1.e = this; + this.p2.e = this.pair; sync(); } /** adds a new half-edge from prev.p2 to p2 */ - public E(E prev, Vert p2) { + public E(E prev, Point p) { + Vert p2; + p2 = pointset.get(p); + if (p2 == null) p2 = new Vert(p); this.p1 = prev.p2; this.p2 = p2; this.prev = prev; @@ -571,6 +443,7 @@ public class Mesh implements Iterable { this.prev.next = this; this.pair = new E(q, this, z); } + if (p2.e==null) p2.e = this.pair; sync(); } @@ -587,18 +460,101 @@ public class Mesh implements Iterable { 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; } + + 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 T newT(Vert p1, Vert p2, Vert p3, Vec norm) { + public E makeE(Point p1, Point p2) { + Vert v1 = pointset.get(p1); + Vert v2 = pointset.get(p2); + if (v1 != null && v2 != null) { + E e = v1.getE(v2); + if (e != null) return e; + e = v2.getE(v1); + if (e != null) return e; + } + if (v1 != null) return new E(v1.getFreeIncident(), p2); + 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) { if (norm != null) { - Vec norm2 = p3.p.minus(p1.p).cross(p2.p.minus(p1.p)); + Vec norm2 = p3.minus(p1).cross(p2.minus(p1)); float dot = norm.dot(norm2); //if (Math.abs(dot) < EPointSILON) throw new Error("dot products within evertsilon of each other: "+norm+" "+norm2); - if (dot < 0) { Vert p = p1; p1=p2; p2 = p; } + if (dot < 0) { Point p = p1; p1=p2; p2 = p; } } - E e12 = p1.makeE(p2); - E e23 = p2.makeE(p3); - E e31 = p3.makeE(p1); + E e12 = makeE(p1, p2); + E e23 = makeE(p2, p3); + E e31 = makeE(p3, p1); while(e12.next != e23 || e23.next != e31 || e31.next != e12) { e12.makeAdjacent(e23); e23.makeAdjacent(e31); @@ -663,10 +619,6 @@ public class Mesh implements Iterable { break; } this.color = color; - - v1().kdinsert(); - v2().kdinsert(); - v3().kdinsert(); } public E e1() { return e1; } public E e2() { return e1.next; }