checkpoint
[anneal.git] / src / edu / berkeley / qfat / Main.java
index 50f44c0..910c35c 100644 (file)
@@ -1,5 +1,6 @@
 package edu.berkeley.qfat;
 import java.awt.*;
+import java.io.*;
 import java.awt.event.*;
 import javax.swing.*;
 import javax.media.opengl.*;
@@ -10,6 +11,31 @@ import edu.berkeley.qfat.geom.Point;
 import edu.berkeley.qfat.geom.Polygon;
 
 // TO DO:
+//
+// - Implement "real" constraints (plane, line, point)
+//
+// - Constrained surface subdivision
+//     - Edge.flip() gets us the triforce subdivision
+//     - Edge.delete() gets us the catmull-clark subdivision
+//     - Catmull-Clark: just don't move points if we can't.  Need to average the influence of the points on a binding group.
+//
+// - Ability to snap three views to orthgonal
+// - SLIDE UI
+//     - left button -> crystal ball
+//     - translate
+//     - rightbutton/mousewheel zoom
+// - v+click to select vertex
+// - show: constraints, bindings, faces
+//
+// Editing:
+//  - fracture edge, face
+//  - change aspect ratio
+//  - ability to select a point, rotate the model, then move the point
+//  - when moving a vertex in one window, show that window's axes in all other windows
+//
+
+
+// TO DO:
 // - real anneal
 // - solve self-intersection problem
 // - get a better test model?
@@ -49,7 +75,9 @@ import edu.berkeley.qfat.geom.Polygon;
 
 // FIXME: re-orient goal (how?)
 
-public class Main extends MeshViewer {
+public class Main extends InteractiveMeshViewer {
+
+
 
     public static int verts = 1;
 
@@ -65,20 +93,20 @@ public class Main extends MeshViewer {
         HashSet<HalfSpace> halfSpaces = new HashSet<HalfSpace>();
         HashSet<Polygon> polygons = new HashSet<Polygon>();
         for(Matrix m : matrices) {
-            Vec v = m.getTranslationalComponent();
-            if (v.mag() < 0.0001) continue;
-            v = v.times(0.5f);
-            Point p = Point.ORIGIN.plus(v);
-            Vec v0 = v;
-            if (v.dot(Point.ORIGIN.minus(p)) < 0) v = v.times(-1);
-
-            System.out.println(v);
-            HalfSpace hs = new HalfSpace(p, v.norm());
-            halfSpaces.add(hs);
-            polygons.add(new Polygon(hs));
+                Vec v = m.getTranslationalComponent();
+                if (v.mag() < 0.0001) continue;
+                v = v.times(-1);
+                v = v.times(0.5f);
+                Point p = Point.ZERO.plus(v);
+                v = v.times(-1);
+                
+                //System.out.println(v);
+                HalfSpace hs = new HalfSpace(p, v.norm());
+                halfSpaces.add(hs);
+                polygons.add(new Polygon(hs));
         }
         for(Polygon p : polygons) {
-            System.out.println(p.plane.norm + " " + p.plane.dvalue);
+            System.out.println(p.plane.norm() + " " + p.plane.d);
             for(HalfSpace hs : halfSpaces) {
                 if (p.plane==hs) continue;
                 p = p.intersect(hs);
@@ -104,13 +132,14 @@ public class Main extends MeshViewer {
     public void loadGoal(String file) {
         try {
             StlFile stlf = new StlFile();
-            stlf.load(file);
-            goal = new Mesh(false);
+            InputStream res = this.getClass().getClassLoader().getResourceAsStream(file);
+            stlf.readBinaryFile(file, res);
+            setGoal(new Mesh(false));
             for(int i=0; i<stlf.coordArray.length; i+=3) {
                 Point p0 = new Point(stlf.coordArray[i+0].x * MAG, stlf.coordArray[i+0].y * MAG, stlf.coordArray[i+0].z * MAG);
                 Point p1 = new Point(stlf.coordArray[i+1].x * MAG, stlf.coordArray[i+1].y * MAG, stlf.coordArray[i+1].z * MAG);
                 Point p2 = new Point(stlf.coordArray[i+2].x * MAG, stlf.coordArray[i+2].y * MAG, stlf.coordArray[i+2].z * MAG);
-                Vec n  = new Vec(stlf.normArray[i/3].x * MAG, stlf.normArray[i/3].y  * MAG, stlf.normArray[i/3].z * MAG);
+                Vec n    = new Vec(stlf.normArray[i/3].x * MAG, stlf.normArray[i/3].y  * MAG, stlf.normArray[i/3].z * MAG);
                 Mesh.T t  = goal.newT(p0, p1, p2, n, 0);
             }
             float goal_width  = goal.diagonal().dot(new Vec(1, 0, 0));
@@ -119,18 +148,21 @@ public class Main extends MeshViewer {
             
         } catch (Exception e) { throw new RuntimeException(e);}
     }
-    public void fixupGoal() {
+    public void fixupGoal() { fixupGoal(true, true); }
+    public void fixupGoal(boolean recenter, boolean lock) {
         // translate to match centroid
-        goal.transform(Matrix.translate(tile.centroid().minus(goal.centroid())));
-        goal.makeVerticesImmutable();
-        tile.error_against = goal;
-        goal.error_against = tile;
+        if (recenter)
+            goal.transform(Matrix.translate(tile.centroid().minus(goal.centroid())));
+        if (lock) {
+            goal.makeVerticesImmutable();
+            tile.error_against = goal;
+            goal.error_against = tile;
+        }
     }
 
     public Main(JFrame f) { super(f); }
 
-    public void fixupTile() { 
-        synchronized(safeTriangles) {
+    public synchronized void fixupTile() { 
         for(Matrix m1 : transforms) {
             for(Matrix m2 : transforms) {
                 if (m1==m2) continue;
@@ -138,50 +170,51 @@ public class Main extends MeshViewer {
                     for(Mesh.T t2 : tile) {
 
                         Matrix m = m1.inverse().times(m2);
-                        if ((t1.v1().p.times(m).distance(t2.v1().p) < MATCHING_EPSILON) &&
-                            (t1.v2().p.times(m).distance(t2.v3().p) < MATCHING_EPSILON) &&
-                            (t1.v3().p.times(m).distance(t2.v2().p) < MATCHING_EPSILON)) {
+                        Point t1v1 = m.times(t1.v1().p);
+                        Point t1v2 = m.times(t1.v2().p);
+                        Point t1v3 = m.times(t1.v3().p);
+                        if (t1v1.distance(t2.v1().p) < MATCHING_EPSILON &&
+                            t1v2.distance(t2.v3().p) < MATCHING_EPSILON &&
+                            t1v3.distance(t2.v2().p) < MATCHING_EPSILON) {
                             t2.e3().bindEdge(t1.e1(), m);
                             t2.e2().bindEdge(t1.e2(), m);
                             t2.e1().bindEdge(t1.e3(), m);
                         }
-                        if ((t1.v2().p.times(m).distance(t2.v1().p) < MATCHING_EPSILON) &&
-                            (t1.v3().p.times(m).distance(t2.v3().p) < MATCHING_EPSILON) &&
-                            (t1.v1().p.times(m).distance(t2.v2().p) < MATCHING_EPSILON)) {
+                        if (t1v2.distance(t2.v1().p) < MATCHING_EPSILON &&
+                            t1v3.distance(t2.v3().p) < MATCHING_EPSILON &&
+                            t1v1.distance(t2.v2().p) < MATCHING_EPSILON) {
                             t2.e3().bindEdge(t1.e2(), m);
                             t2.e2().bindEdge(t1.e3(), m);
                             t2.e1().bindEdge(t1.e1(), m);
                         }
-                        if ((t1.v3().p.times(m).distance(t2.v1().p) < MATCHING_EPSILON) &&
-                            (t1.v1().p.times(m).distance(t2.v3().p) < MATCHING_EPSILON) &&
-                            (t1.v2().p.times(m).distance(t2.v2().p) < MATCHING_EPSILON)) {
+                        if (t1v3.distance(t2.v1().p) < MATCHING_EPSILON &&
+                            t1v1.distance(t2.v3().p) < MATCHING_EPSILON &&
+                            t1v2.distance(t2.v2().p) < MATCHING_EPSILON) {
                             t2.e3().bindEdge(t1.e3(), m);
                             t2.e2().bindEdge(t1.e1(), m);
                             t2.e1().bindEdge(t1.e2(), m);
                         }
-
-                        if ((t1.v1().p.times(m).distance(t2.v1().p) < MATCHING_EPSILON) &&
-                            (t1.v2().p.times(m).distance(t2.v2().p) < MATCHING_EPSILON) &&
-                            (t1.v3().p.times(m).distance(t2.v3().p) < MATCHING_EPSILON)) {
+                        if (t1v1.distance(t2.v1().p) < MATCHING_EPSILON &&
+                            t1v2.distance(t2.v2().p) < MATCHING_EPSILON &&
+                            t1v3.distance(t2.v3().p) < MATCHING_EPSILON) {
                             t2.e1().bindEdge(t1.e1().pair, m);
                             t2.e2().bindEdge(t1.e2().pair, m);
                             t2.e3().bindEdge(t1.e3().pair, m);
                         }
-                        if ((t1.v2().p.times(m).distance(t2.v1().p) < MATCHING_EPSILON) &&
-                            (t1.v3().p.times(m).distance(t2.v2().p) < MATCHING_EPSILON) &&
-                            (t1.v1().p.times(m).distance(t2.v3().p) < MATCHING_EPSILON)) {
+                        if (t1v2.distance(t2.v1().p) < MATCHING_EPSILON &&
+                            t1v3.distance(t2.v2().p) < MATCHING_EPSILON &&
+                            t1v1.distance(t2.v3().p) < MATCHING_EPSILON) {
                             t2.e2().bindEdge(t1.e1().pair, m);
                             t2.e3().bindEdge(t1.e2().pair, m);
                             t2.e1().bindEdge(t1.e3().pair, m);
                         }
-                        if ((t1.v3().p.times(m).distance(t2.v1().p) < MATCHING_EPSILON) &&
-                            (t1.v1().p.times(m).distance(t2.v2().p) < MATCHING_EPSILON) &&
-                            (t1.v2().p.times(m).distance(t2.v3().p) < MATCHING_EPSILON)) {
+                        if (t1v3.distance(t2.v1().p) < MATCHING_EPSILON &&
+                            t1v1.distance(t2.v2().p) < MATCHING_EPSILON &&
+                            t1v2.distance(t2.v3().p) < MATCHING_EPSILON) {
                             t2.e3().bindEdge(t1.e1().pair, m);
                             t2.e1().bindEdge(t1.e2().pair, m);
                             t2.e2().bindEdge(t1.e3().pair, m);
                         }
-
                     }
                 }
             }
@@ -192,11 +225,12 @@ public class Main extends MeshViewer {
         tile.error_against = goal;
         goal.error_against = tile;
         fixupGoal();
-        }
     }
 
     public void breakit() {
         int oldverts = verts;
+        if (verts > 2000 && !force) return;
+        force = false;
         System.out.println("doubling vertices.");
         PriorityQueue<Mesh.E> es = new PriorityQueue<Mesh.E>();
         for(Mesh.T t : tile) {
@@ -213,6 +247,7 @@ public class Main extends MeshViewer {
             Thread.yield();
             repaint();
         }
+        System.out.println("now have " + verts + " vertices; max is 2000");
         tile.rebindPoints();
     }
 
@@ -226,8 +261,7 @@ public class Main extends MeshViewer {
         Vec v = new Vec(random.nextFloat(), random.nextFloat(), random.nextFloat());
         v = v.norm().times((random.nextFloat() - 0.5f) * max);
         Matrix m = Matrix.translate(v);
-
-        boolean good = p.move(m, false);
+        boolean good = p.move(v, false);
         if (!good) { return false; }
 
         double new_tile_error = tile.error();
@@ -241,13 +275,19 @@ public class Main extends MeshViewer {
         //boolean doSwap = good && (tile_delta + goal_delta <= 0);
         //if (temp < 0.000001) doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
         boolean doSwap = good && (Math.random() < swapProbability);
+
+        // always move uphill if possible -- potential idea
+        if (tile_delta <= 0 && goal_delta <= 0 && good) doSwap = true;
+        if (hillclimb)
+            doSwap = tile_delta <= 0 && goal_delta <= 0 && good;
+
         if (doSwap) {
             tile_error = new_tile_error;
             goal_error = new_goal_error;
             hits++;
             p.goodp = p.p;
         } else {
-            p.move(Matrix.translate(v.times(-1)), true);
+            p.move(v.times(-1), true);
             misses++;
         }
         p.reComputeErrorAround();
@@ -263,13 +303,8 @@ public class Main extends MeshViewer {
         boolean seek_upward = false;
         double acceptance = 1;
         while(true) {
-            synchronized(safeTriangles) {
-                safeTriangles.clear();
-                for(Mesh.T t : tile) 
-                    if (t.shouldBeDrawn())
-                        safeTriangles.add(t);
-            }
-            if (!anneal) { repaint(); Thread.sleep(10); continue; }
+            synchronized(this) {
+                if (!anneal) { repaint(); Thread.sleep(10); continue; }
 
             double ratio = (hits+misses==0) ? 1 : (hits / (hits+misses));
             hits = 0;
@@ -293,7 +328,8 @@ public class Main extends MeshViewer {
             else if (acceptance > 0.3)    gamma = 0.8f;
             else if (acceptance > 0.15)   gamma = 0.94f;
             else if (acceptance > 0.10)   gamma = 0.98f;
-            else { breaks++; }
+
+            else if (acceptance < 0.01)   breaks++;
 
             if (seek_upward) {
                 if (acceptance > 0.25) seek_upward = false;
@@ -330,13 +366,16 @@ public class Main extends MeshViewer {
                 p.quadricStale = true;
                 p.recomputeFundamentalQuadricIfNeighborChanged();
             }
+            }
         }
     }
 
 
     public static void main(String[] s) throws Exception {
         JFrame f = new JFrame();
+        f.setLayout(new BorderLayout());
         Main main = new Main(f);
+        f.add(main, BorderLayout.CENTER);
         f.setJMenuBar(main.new MyMenuBar());
         f.pack();
         f.show();
@@ -352,16 +391,14 @@ public class Main extends MeshViewer {
         }
         public void actionPerformed(ActionEvent event) {
             synchronized(Main.this) {
-                synchronized(safeTriangles) {
                     hit();
-                }
             }
         }
         public void hit() {}
     }
 
     public void hexBrick(boolean offset, boolean rotated) {
-                tile = new Mesh(false);
+        setTile(new Mesh(false));
                 float width  = (float)0.8;
                 float depth  = (float)0.08;
                 float height = (float)0.4;
@@ -484,9 +521,9 @@ public class Main extends MeshViewer {
                         es.add(t.e3());
                     }
                     for(Mesh.E e : es) {
-                        if (e.p1.p.x == e.p2.p.x && e.p1.p.y == e.p2.p.y) continue;
-                        if (e.p1.p.z == e.p2.p.z && e.p1.p.y == e.p2.p.y) continue;
-                        if (e.p1.p.x == e.p2.p.x && e.p1.p.z == e.p2.p.z) continue;
+                        if (e.v1.p.x == e.v2.p.x && e.v1.p.y == e.v2.p.y) continue;
+                        if (e.v1.p.z == e.v2.p.z && e.v1.p.y == e.v2.p.y) continue;
+                        if (e.v1.p.x == e.v2.p.x && e.v1.p.z == e.v2.p.z) continue;
                         e.shatter();
                     }
                     transforms = new Matrix[] {
@@ -534,11 +571,38 @@ public class Main extends MeshViewer {
             hideMenu.add(new MyMenuItem("Show All Neighbors Wireframe") { public void hit() { neighborsWire = true; neighborsWireOne = false;}});
             hideMenu.add(new MyMenuItem("Hide Neighbors") { public void hit() { neighborsWire = false; neighborsWireOne = false; neighbors = false; }});
 
+            goalMenu.add(new MyMenuItem("Fish with face") { public void hit() {
+                loadGoal("face.stl");
+                //goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
+                goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
+                //goal.transform(Matrix.scale(1, 2.2f, 1));
+                float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
+                //factor = factor * 0.8f;
+                goal.transform(Matrix.scale(0.3f));
+                //goal.transform(Matrix.rotate(new Vec(0,1,0), (float)(Math.PI*1/3)));
+                goal.transform(Matrix.rotate(new Vec(1,0,0), (float)(Math.PI*1/3)));
+                fixupGoal(true, false);
+                //goal.transform(Matrix.translate(new Vec(0.145f, 0, 0)));
+                fixupGoal(false, true);
+            }});
             goalMenu.add(new MyMenuItem("Fish") { public void hit() {
                 loadGoal("fish.stl");
                 //goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
                 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
+                goal.transform(Matrix.scale(1, 2.2f, 1));
+                float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
+                factor = factor * 0.8f;
+                goal.transform(Matrix.scale(factor));
+                fixupGoal(true, false);
+                //goal.transform(Matrix.translate(new Vec(0.145f, 0, 0)));
+                fixupGoal(false, true);
+            }});
+            goalMenu.add(new MyMenuItem("Hammerhead Fish") { public void hit() {
+                loadGoal("fish.stl");
+                goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
+                goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(3*Math.PI/2)));
                 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
+                factor *= 0.75f;
                 goal.transform(Matrix.scale(factor));
                 fixupGoal();
             }});
@@ -553,7 +617,7 @@ public class Main extends MeshViewer {
             goalMenu.add(new MyMenuItem("Torus") { public void hit() {
                 loadGoal("torus.stl");
                 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
-                goal.transform(Matrix.scale(factor/3.3f));
+                goal.transform(Matrix.scale(factor/2.5f));
                 goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
                 fixupGoal();
             }});
@@ -567,7 +631,7 @@ public class Main extends MeshViewer {
                 hexBrick(false, true);
             }});
             tileMenu.add(new MyMenuItem("Temp (do not use)") { public void hit() {
-                tile = new Mesh(false);
+                setTile(new Mesh(false));
                 float width  = (float)0.8;
                 float depth  = (float)0.08;
                 float height = (float)0.4;
@@ -627,8 +691,8 @@ public class Main extends MeshViewer {
                 };
                 fixupTile();
             } });
-            tileMenu.add(new MyMenuItem("Dense Packing (Hex)") { public void hit() {
-                tile = new Mesh(false);
+            tileMenu.add(new MyMenuItem("Dense Packing (hex)") { public void hit() {
+                setTile(new Mesh(false));
                 float width  = (float)3.2;
                 float depth  = (float)0.32;
                 float height = (float)1.6;
@@ -669,30 +733,16 @@ public class Main extends MeshViewer {
                 generateTile(transforms, tile);
                 fixupTile();
             } });
-            tileMenu.add(new MyMenuItem("Slim Dense Packing (Hex)") { public void hit() {
-                tile = new Mesh(false);
-                float width  = (float)3.2;
-                float depth  = (float)0.32;
-                float height = (float)1.6;
+            tileMenu.add(new MyMenuItem("Slim Dense Packing (Cubic)") { public void hit() {
+                setTile(new Mesh(false));
                 float unit = 0.4f;
                 float r = unit/2;
                 float sin = (float)(unit * Math.sin(Math.PI/3));
                 float cos = (float)(unit * Math.cos(Math.PI/3));
                 float x = (float)(r*Math.tan(Math.PI/6));
                 float z = (float)(r/Math.cos(Math.PI/6));
-                height = 2*r*(float)Math.sqrt(2f/3f);
-
-
-                r *= 0.3f;
-                cos *= 0.3f;
-                unit *= 0.3f;
-                height *= 1.5f;
+                float height = 2*r*(float)Math.sqrt(2f/3f);
 
-                /*
-                  sin *= 0.3f;
-                  x *= 0.3f;
-                  z *= 0.3f;
-                */
                 transforms = new Matrix[] {
                     Matrix.translate(new Vec(-unit, 0, 0)),
                     Matrix.translate(new Vec( unit, 0, 0)),
@@ -700,24 +750,51 @@ public class Main extends MeshViewer {
                     Matrix.translate(new Vec( cos,  0,  sin)),
                     Matrix.translate(new Vec(-cos,  0, -sin)),
                     Matrix.translate(new Vec( cos,  0, -sin)),
-                    Matrix.translate(new Vec( 0,  height, z)),
-                    Matrix.translate(new Vec(-r,  height, -x)),
-                    Matrix.translate(new Vec( r,  height, -x)),
-                    Matrix.translate(new Vec( 0, -height, -z)),
-                    Matrix.translate(new Vec(-r, -height, x)),
-                    Matrix.translate(new Vec( r, -height, x)),
-                    Matrix.ONE,
+
+                    /*
+                    Matrix.translate(new Vec( 0,  height, -z)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
+                    Matrix.translate(new Vec(-r,  height,  x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
+                    Matrix.translate(new Vec( r,  height,  x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
+                    Matrix.translate(new Vec( 0, -height, -z)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
+                    Matrix.translate(new Vec(-r, -height,  x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
+                    Matrix.translate(new Vec( r, -height,  x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
+                    */
+
+                    Matrix.translate(new Vec( 0,  height, -z)),
+                    Matrix.translate(new Vec(-r,  height,  x)),
+                    Matrix.translate(new Vec( r,  height,  x)),
+                    Matrix.translate(new Vec( 0, -height,  z)),
+                    Matrix.translate(new Vec(-r, -height, -x)),
+                    Matrix.translate(new Vec( r, -height, -x)),
+                    //Matrix.rotate(new Vec(0,0,1), (float)Math.PI),
+
+                    /*
+                    Matrix.translate(new Vec( 0,  height, -z)).times(Matrix.scale(-1,1,-1)),
+                    Matrix.translate(new Vec(-r,  height,  x)).times(Matrix.scale(-1,1,-1)),
+                    Matrix.translate(new Vec( r,  height,  x)).times(Matrix.scale(-1,1,-1)),
+                    Matrix.translate(new Vec( 0, -height, -z)).times(Matrix.scale(-1,1,-1)),
+                    Matrix.translate(new Vec(-r, -height,  x)).times(Matrix.scale(-1,1,-1)),
+                    Matrix.translate(new Vec( r, -height,  x)).times(Matrix.scale(-1,1,-1)),
+                    */
+                    Matrix.ONE
                 };
                 generateTile(transforms, tile);
+                //for(int i=0; i<transforms.length; i++) transforms[i] = Matrix.translate(m.times(vecs[i]));
+                Matrix m = Matrix.scale(1.9f, 1f ,1);
+                //Matrix m = Matrix.scale(1f, 2.1f, 1f);
+                tile.transform(m);
+                for(int i=0; i<transforms.length; i++)
+                    transforms[i] = preMultiplyTranslationalComponentBy(transforms[i], m);
                 fixupTile();
+
             } });
             tileMenu.add(new MyMenuItem("Genus-1") { public void hit() {
                 synchronized(this) {
-                    tile = new Mesh(false);
+                    setTile(new Mesh(false));
+                    Matrix mm = Matrix.scale(0.1f);
                     float height = 4;
                     float width  = 4;
                     float depth  = 1;
-                    Matrix mm = Matrix.scale(0.1f);
                     // top
                     quad(tile, mm, 
                          new Point( 2,  2,  0),
@@ -804,6 +881,7 @@ public class Main extends MeshViewer {
                         Matrix.translate(new Vec(-0.2f,0,0))
                         .times(Matrix.rotate(new Vec(1,0,0), (float)(-1*Math.PI/2))),
 
+
                         //Matrix.rotate(new Vec(0,0,1), (float)(1*Math.PI/2)),
 
                         /*
@@ -842,6 +920,80 @@ public class Main extends MeshViewer {
                     };
                     fixupTile();
                 }}});
+            tileMenu.add(new MyMenuItem("Hammerhead") { public void hit() {
+                synchronized(this) {
+                    setTile(new Mesh(false));
+                    Matrix mm = Matrix.ONE;
+                    float height1 = .1f;
+                    float height2 = .1f;
+                    float width  = .4f;
+                    float depth  = .1f;
+                    // top
+                    Point a1 = new Point( -width/2,         height2/2, -depth/2);
+                    Point b1 = new Point(        0,         height2/2, -depth/2);
+                    Point c1 = new Point(        0, height1+height2/2, -depth/2);
+                    Point d1 = new Point(  width/2, height1+height2/2, -depth/2);
+                    Point e1 = new Point(  width/2,         height2/2, -depth/2);
+                    Point f1 = new Point(  width/2,        -height2/2, -depth/2);
+                    Point g1 = new Point(  width/2,-height1-height2/2, -depth/2);
+                    Point h1 = new Point(        0,-height1-height2/2, -depth/2);
+                    Point i1 = new Point(        0,        -height2/2, -depth/2);
+                    Point j1 = new Point( -width/2,        -height2/2, -depth/2);
+                    Point a2 = new Point( -width/2,         height2/2,  depth/2);
+                    Point b2 = new Point(        0,         height2/2,  depth/2);
+                    Point c2 = new Point(        0, height1+height2/2,  depth/2);
+                    Point d2 = new Point(  width/2, height1+height2/2,  depth/2);
+                    Point e2 = new Point(  width/2,         height2/2,  depth/2);
+                    Point f2 = new Point(  width/2,        -height2/2,  depth/2);
+                    Point g2 = new Point(  width/2,-height1-height2/2,  depth/2);
+                    Point h2 = new Point(        0,-height1-height2/2,  depth/2);
+                    Point i2 = new Point(        0,        -height2/2,  depth/2);
+                    Point j2 = new Point( -width/2,        -height2/2,  depth/2);
+
+                    quad(tile, mm, a1, b1, i1, j1);
+                    quad(tile, mm, c1, d1, e1, b1);
+                    quad(tile, mm, b1, e1, f1, i1);
+                    quad(tile, mm, i1, f1, g1, h1);
+
+                    quad(tile, mm, j2, i2, b2, a2);
+                    quad(tile, mm, b2, e2, d2, c2);
+                    quad(tile, mm, i2, f2, e2, b2);
+                    quad(tile, mm, h2, g2, f2, i2);
+
+                    quad(tile, mm, d1, d2, e2, e1);
+                    quad(tile, mm, e1, e2, f2, f1);
+                    quad(tile, mm, f1, f2, g2, g1);
+                    quad(tile, mm, h1, g1, g2, h2);
+                    quad(tile, mm, i2, i1, h1, h2);
+                    quad(tile, mm, j1, i1, i2, j2);
+                    quad(tile, mm, a2, a1, j1, j2);
+                    quad(tile, mm, a1, a2, b2, b1);
+                    quad(tile, mm, c2, c1, b1, b2);
+                    quad(tile, mm, c1, c2, d2, d1);
+
+                    transforms = new Matrix[] {
+
+                        mm.times(Matrix.translate(new Vec(   width,     0, 0))),
+                        mm.times(Matrix.translate(new Vec(  -width,     0, 0))),
+                        mm.times(Matrix.translate(new Vec(-width/2, height1+height2, 0))),
+                        mm.times(Matrix.translate(new Vec( width/2, height1+height2, 0))),
+                        mm.times(Matrix.translate(new Vec(-width/2,-height1-height2, 0))),
+                        mm.times(Matrix.translate(new Vec( width/2,-height1-height2, 0))),
+
+                        mm.times(Matrix.translate(new Vec(   width/2,     0,  depth))),
+                        mm.times(Matrix.translate(new Vec(  -width/2,     0,  depth))),
+                        mm.times(Matrix.translate(new Vec(         0, height1+height2,  depth))),
+                        mm.times(Matrix.translate(new Vec(         0,-height1-height2,  depth))),
+
+                        mm.times(Matrix.translate(new Vec(   width/2,     0, -depth))),
+                        mm.times(Matrix.translate(new Vec(  -width/2,     0, -depth))),
+                        mm.times(Matrix.translate(new Vec(         0, height1+height2, -depth))),
+                        mm.times(Matrix.translate(new Vec(         0,-height1-height2, -depth))),
+
+                        Matrix.ONE
+                    };
+                    fixupTile();
+                }}});
 
             // Finally, add all the menus to the menu bar.
             add(tileMenu);
@@ -851,4 +1003,12 @@ public class Main extends MeshViewer {
 
     }
 
+    private static Matrix preMultiplyTranslationalComponentBy(Matrix mthis, Matrix mm) {
+        Vec v = mm.times(mthis.getTranslationalComponent());
+        return new Matrix(mthis.a, mthis.b, mthis.c, v.x,
+                          mthis.e, mthis.f, mthis.g, v.y,
+                          mthis.i, mthis.j, mthis.k, v.z,
+                          mthis.m, mthis.n, mthis.o, 1);
+    }
+
 }
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