1 package edu.berkeley.qfat;
4 import java.awt.event.*;
6 import javax.media.opengl.*;
7 import javax.media.opengl.glu.*;
9 import edu.berkeley.qfat.geom.*;
10 import edu.berkeley.qfat.geom.Point;
11 import edu.berkeley.qfat.geom.Polygon;
15 // - solve self-intersection problem
16 // - get a better test model?
17 // - symmetry constraints withing the tile
18 // - rotation matrices
19 // - overbinding results in forced equational constraints on the leader
20 // - shatter in invertd-triforce pattern brian mentioned
21 // - aspect ratio? non-uniform deformation?
22 // - rotational alignment
24 // - movie-style user interface like
25 // http://www.coleran.com/markcoleranreell.html ?
27 // - consider recasting the Shewchuk predicates in Java?
28 // http://www.cs.cmu.edu/afs/cs/project/quake/public/code/predicates.c
32 - middle mouse = option+click
33 - right mouse = command+click
35 3,7,1 = view along axes (control for opp direction)
36 4, 8, 7, 2 = rotate in discrete increments (+control to translate)
37 middle trag: rotate space
38 shift+middle drag: translate space
40 home: home view: take current angle, zoom to whole scnee
41 5 = ortho vs non-ortho
51 // FIXME: re-orient goal (how?)
53 public class Main extends InteractiveMeshViewer {
55 public static int verts = 1;
57 public static final Random random = new Random();
59 /** magnification factor */
60 private static final float MAG = 1;
61 public static final float MATCHING_EPSILON = 0.001f;
63 private static boolean small(float f) { return Math.abs(f) < 0.001; }
64 public void generateTile(Matrix[] matrices, Mesh mesh) {
66 HashSet<HalfSpace> halfSpaces = new HashSet<HalfSpace>();
67 HashSet<Polygon> polygons = new HashSet<Polygon>();
68 for(Matrix m : matrices) {
69 Vec v = m.getTranslationalComponent();
70 if (v.mag() < 0.0001) continue;
73 Point p = Point.ORIGIN.plus(v);
76 //System.out.println(v);
77 HalfSpace hs = new HalfSpace(p, v.norm());
79 polygons.add(new Polygon(hs));
81 for(Polygon p : polygons) {
82 System.out.println(p.plane.norm + " " + p.plane.dvalue);
83 for(HalfSpace hs : halfSpaces) {
84 if (p.plane==hs) continue;
91 private void quad(Mesh mesh, Matrix m, Point p1_, Point p2_, Point p3_, Point p4_) {
92 Point p1 = m.times(p1_);
93 Point p2 = m.times(p2_);
94 Point p3 = m.times(p3_);
95 Point p4 = m.times(p4_);
96 Point c = new Point((p1.x+p2.x+p3.x+p4.x)/4,
97 (p1.y+p2.y+p3.y+p4.y)/4,
98 (p1.z+p2.z+p3.z+p4.z)/4);
99 mesh.newT(p1, p2, c, null, 0);
100 mesh.newT(p2, p3, c, null, 0);
101 mesh.newT(p3, p4, c, null, 0);
102 mesh.newT(p4, p1, c, null, 0);
105 public void loadGoal(String file) {
107 StlFile stlf = new StlFile();
108 InputStream res = this.getClass().getClassLoader().getResourceAsStream(file);
109 stlf.readBinaryFile(file, res);
110 goal = new Mesh(false);
111 for(int i=0; i<stlf.coordArray.length; i+=3) {
112 Point p0 = new Point(stlf.coordArray[i+0].x * MAG, stlf.coordArray[i+0].y * MAG, stlf.coordArray[i+0].z * MAG);
113 Point p1 = new Point(stlf.coordArray[i+1].x * MAG, stlf.coordArray[i+1].y * MAG, stlf.coordArray[i+1].z * MAG);
114 Point p2 = new Point(stlf.coordArray[i+2].x * MAG, stlf.coordArray[i+2].y * MAG, stlf.coordArray[i+2].z * MAG);
115 Vec n = new Vec(stlf.normArray[i/3].x * MAG, stlf.normArray[i/3].y * MAG, stlf.normArray[i/3].z * MAG);
116 Mesh.T t = goal.newT(p0, p1, p2, n, 0);
118 float goal_width = goal.diagonal().dot(new Vec(1, 0, 0));
119 float goal_height = goal.diagonal().dot(new Vec(0, 1, 0));
120 float goal_depth = goal.diagonal().dot(new Vec(0, 0, 1));
122 } catch (Exception e) { throw new RuntimeException(e);}
124 public void fixupGoal() { fixupGoal(true, true); }
125 public void fixupGoal(boolean recenter, boolean lock) {
126 // translate to match centroid
128 goal.transform(Matrix.translate(tile.centroid().minus(goal.centroid())));
130 goal.makeVerticesImmutable();
131 tile.error_against = goal;
132 goal.error_against = tile;
136 public Main(JFrame f) { super(f); }
138 public void fixupTile() {
139 synchronized(safeTriangles) {
140 for(Matrix m1 : transforms) {
141 for(Matrix m2 : transforms) {
142 if (m1==m2) continue;
143 for(Mesh.T t1 : tile) {
144 for(Mesh.T t2 : tile) {
146 Matrix m = m1.inverse().times(m2);
147 Point t1v1 = m.times(t1.v1().p);
148 Point t1v2 = m.times(t1.v2().p);
149 Point t1v3 = m.times(t1.v3().p);
150 if (t1v1.distance(t2.v1().p) < MATCHING_EPSILON &&
151 t1v2.distance(t2.v3().p) < MATCHING_EPSILON &&
152 t1v3.distance(t2.v2().p) < MATCHING_EPSILON) {
153 t2.e3().bindEdge(t1.e1(), m);
154 t2.e2().bindEdge(t1.e2(), m);
155 t2.e1().bindEdge(t1.e3(), m);
157 if (t1v2.distance(t2.v1().p) < MATCHING_EPSILON &&
158 t1v3.distance(t2.v3().p) < MATCHING_EPSILON &&
159 t1v1.distance(t2.v2().p) < MATCHING_EPSILON) {
160 t2.e3().bindEdge(t1.e2(), m);
161 t2.e2().bindEdge(t1.e3(), m);
162 t2.e1().bindEdge(t1.e1(), m);
164 if (t1v3.distance(t2.v1().p) < MATCHING_EPSILON &&
165 t1v1.distance(t2.v3().p) < MATCHING_EPSILON &&
166 t1v2.distance(t2.v2().p) < MATCHING_EPSILON) {
167 t2.e3().bindEdge(t1.e3(), m);
168 t2.e2().bindEdge(t1.e1(), m);
169 t2.e1().bindEdge(t1.e2(), m);
171 if (t1v1.distance(t2.v1().p) < MATCHING_EPSILON &&
172 t1v2.distance(t2.v2().p) < MATCHING_EPSILON &&
173 t1v3.distance(t2.v3().p) < MATCHING_EPSILON) {
174 t2.e1().bindEdge(t1.e1().pair, m);
175 t2.e2().bindEdge(t1.e2().pair, m);
176 t2.e3().bindEdge(t1.e3().pair, m);
178 if (t1v2.distance(t2.v1().p) < MATCHING_EPSILON &&
179 t1v3.distance(t2.v2().p) < MATCHING_EPSILON &&
180 t1v1.distance(t2.v3().p) < MATCHING_EPSILON) {
181 t2.e2().bindEdge(t1.e1().pair, m);
182 t2.e3().bindEdge(t1.e2().pair, m);
183 t2.e1().bindEdge(t1.e3().pair, m);
185 if (t1v3.distance(t2.v1().p) < MATCHING_EPSILON &&
186 t1v1.distance(t2.v2().p) < MATCHING_EPSILON &&
187 t1v2.distance(t2.v3().p) < MATCHING_EPSILON) {
188 t2.e3().bindEdge(t1.e1().pair, m);
189 t2.e1().bindEdge(t1.e2().pair, m);
190 t2.e2().bindEdge(t1.e3().pair, m);
197 System.out.println("tile volume: " + tile.volume());
198 System.out.println("goal volume: " + goal.volume());
199 tile.error_against = goal;
200 goal.error_against = tile;
205 public void breakit() {
206 int oldverts = verts;
207 if (verts > 2000 && !force) return;
209 System.out.println("doubling vertices.");
210 PriorityQueue<Mesh.E> es = new PriorityQueue<Mesh.E>();
211 for(Mesh.T t : tile) {
218 for(int i=0; i<Math.min(oldverts,50); i++) {
219 Mesh.E e = es.poll();
225 System.out.println("now have " + verts + " vertices; max is 2000");
229 public boolean rand(double temp, Mesh.Vertex p) {
231 p.reComputeErrorAround();
232 double tile_error = tile.error();
233 double goal_error = goal.error();
235 float max = p.averageEdgeLength()/5;
236 Vec v = new Vec(random.nextFloat(), random.nextFloat(), random.nextFloat());
237 v = v.norm().times((random.nextFloat() - 0.5f) * max);
238 Matrix m = Matrix.translate(v);
240 boolean good = p.move(m, false);
241 if (!good) { return false; }
243 double new_tile_error = tile.error();
244 double new_goal_error = goal.error();
245 double tile_delta = (new_tile_error - tile_error) / tile_error;
246 double goal_delta = (new_goal_error - goal_error) / goal_error;
247 double delta = tile_delta + goal_delta;
248 double swapProbability = Math.exp((-1 * delta) / temp);
250 //boolean doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
251 //boolean doSwap = good && (tile_delta + goal_delta <= 0);
252 //if (temp < 0.000001) doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
253 boolean doSwap = good && (Math.random() < swapProbability);
255 // always move uphill if possible -- potential idea
256 if (tile_delta <= 0 && goal_delta <= 0 && good) doSwap = true;
258 doSwap = tile_delta <= 0 && goal_delta <= 0 && good;
261 tile_error = new_tile_error;
262 goal_error = new_goal_error;
266 p.move(Matrix.translate(v.times(-1)), true);
269 p.reComputeErrorAround();
275 public void anneal() throws Exception {
279 boolean seek_upward = false;
280 double acceptance = 1;
283 synchronized(safeTriangles) {
284 safeTriangles.clear();
286 if (t.shouldBeDrawn())
287 safeTriangles.add(t);
289 if (!anneal) { repaint(); Thread.sleep(10); continue; }
291 double ratio = (hits+misses==0) ? 1 : (hits / (hits+misses));
295 acceptance = (ratio+acceptance)/2;
296 accepts = (int)(Math.ceil(ratio*100));
297 temps = (int)(Math.ceil(temp*1000));
298 vertss = tile.size();
306 } else if (acceptance > 0.96) gamma = 0.1f;
307 else if (acceptance > 0.9) gamma = 0.2f;
308 else if (acceptance > 0.8) gamma = 0.3f;
309 else if (acceptance > 0.6) gamma = 0.4f;
310 else if (acceptance > 0.3) gamma = 0.8f;
311 else if (acceptance > 0.15) gamma = 0.94f;
312 else if (acceptance > 0.10) gamma = 0.98f;
314 else if (acceptance < 0.01) breaks++;
317 if (acceptance > 0.25) seek_upward = false;
318 else gamma = 2-gamma;
325 HashSet<Mesh.Vertex> hs = new HashSet<Mesh.Vertex>();
326 for(Mesh.Vertex p : tile.vertices()) hs.add(p);
327 Mesh.Vertex[] pts = (Mesh.Vertex[])hs.toArray(new Mesh.Vertex[0]);
330 long then = System.currentTimeMillis();
331 for(int i=0; i<300; i++) {
333 Mesh.Vertex v = pts[Math.abs(random.nextInt()) % pts.length];
335 if (!rand(temp,v)) { i--; continue; }
336 v.recomputeFundamentalQuadricIfStale();
337 v.recomputeFundamentalQuadricIfNeighborChanged();
344 System.out.println("temp="+temp + " ratio="+(Math.ceil(acceptance*100)) + " " +
345 "points_per_second=" +
346 (count*1000)/((double)(System.currentTimeMillis()-then)));
347 for(Mesh.Vertex p : goal.vertices()) {
348 p.quadricStale = true;
349 p.recomputeFundamentalQuadricIfNeighborChanged();
356 public static void main(String[] s) throws Exception {
357 JFrame f = new JFrame();
358 Main main = new Main(f);
359 f.setJMenuBar(main.new MyMenuBar());
367 public class MyMenuItem extends JMenuItem implements ActionListener {
368 public MyMenuItem(String s) {
370 this.addActionListener(this);
372 public void actionPerformed(ActionEvent event) {
373 synchronized(Main.this) {
374 synchronized(safeTriangles) {
382 public void hexBrick(boolean offset, boolean rotated) {
383 tile = new Mesh(false);
384 float width = (float)0.8;
385 float depth = (float)0.08;
386 float height = (float)0.4;
387 float rshift = width/2;
388 float lshift = -(width/2);
390 Point ltf = new Point(lshift, (depth/2), (height/2));
391 Point mtf = new Point( 0.0, (depth/2), (height/2));
392 Point rtf = new Point(rshift, (depth/2), (height/2));
393 Point lbf = new Point(lshift, -(depth/2), (height/2));
394 Point mbf = new Point( 0.0, -(depth/2), (height/2));
395 Point rbf = new Point(rshift, -(depth/2), (height/2));
397 Point ltc = new Point(lshift, (depth/2), 0);
398 Point mtc = new Point( 0.0, (depth/2), 0);
399 Point rtc = new Point(rshift, (depth/2), 0);
400 Point lbc = new Point(lshift, -(depth/2), 0);
401 Point mbc = new Point( 0.0, -(depth/2), 0);
402 Point rbc = new Point(rshift, -(depth/2), 0);
404 Point ltn = new Point(lshift, (depth/2), -(height/2));
405 Point mtn = new Point( 0.0, (depth/2), -(height/2));
406 Point rtn = new Point(rshift, (depth/2), -(height/2));
407 Point lbn = new Point(lshift, -(depth/2), -(height/2));
408 Point mbn = new Point( 0.0, -(depth/2), -(height/2));
409 Point rbn = new Point(rshift, -(depth/2), -(height/2));
412 Point[] points = new Point[] {
437 tile.newT(ltf, mtf, mtc, null, 1);
438 tile.newT(mtc, ltc, ltf, null, 1);
439 tile.newT(mtf, rtf, rtc, null, 1);
440 tile.newT(rtc, mtc, mtf, null, 1);
442 tile.newT(ltc, mtc, mtn, null, 1);
443 tile.newT(mtn, ltn, ltc, null, 1);
444 tile.newT(mtc, rtc, rtn, null, 1);
445 tile.newT(rtn, mtn, mtc, null, 1);
447 // bottom (swap normals)
448 tile.newT(mbf, lbf, mbc, null, 2);
449 tile.newT(lbc, mbc, lbf, null, 2);
450 tile.newT(rbf, mbf, rbc, null, 2);
451 tile.newT(mbc, rbc, mbf, null, 2);
453 tile.newT(mbc, lbc, mbn, null, 2);
454 tile.newT(lbn, mbn, lbc, null, 2);
456 tile.newT(rbc, mbc, rbn, null, 2);
457 tile.newT(mbn, rbn, mbc, null, 2);
461 tile.newT(ltf, ltc, lbc, null, 3);
462 tile.newT(lbc, lbf, ltf, null, 3);
463 tile.newT(ltc, ltn, lbn, null, 3);
464 tile.newT(lbn, lbc, ltc, null, 3);
466 // right (swap normals)
467 tile.newT(rtc, rtf, rbc, null, 4);
468 tile.newT(rbf, rbc, rtf, null, 4);
469 tile.newT(rtn, rtc, rbn, null, 4);
470 tile.newT(rbc, rbn, rtc, null, 4);
473 tile.newT(ltn, mtn, mbn, null, 5);
474 tile.newT(ltn, mbn, lbn, null, 5);
475 tile.newT(mtn, rtn, rbn, null, 5);
476 tile.newT(mtn, rbn, mbn, null, 5);
479 tile.newT(mtf, ltf, mbf, null, 6);
480 tile.newT(mbf, ltf, lbf, null, 6);
481 tile.newT(rtf, mtf, rbf, null, 6);
482 tile.newT(rbf, mtf, mbf, null, 6);
485 transforms = new Matrix[] {
486 Matrix.translate(new Vec(lshift, 0, height)),
487 Matrix.translate(new Vec(lshift, 0, -height)),
488 Matrix.translate(new Vec(rshift, 0, height)),
489 Matrix.translate(new Vec(rshift, 0, -height)),
490 Matrix.translate(new Vec( width, 0, 0)),
491 Matrix.translate(new Vec(-width, 0, 0)),
492 Matrix.translate(new Vec(lshift, depth, 0)),
493 Matrix.translate(new Vec(lshift, -depth, 0)),
494 Matrix.translate(new Vec(rshift, depth, 0)),
495 Matrix.translate(new Vec(rshift, -depth, 0)),
498 } else if (rotated) {
499 HashSet<Mesh.E> es = new HashSet<Mesh.E>();
500 for(Mesh.T t : tile) {
506 if (e.p1.p.x == e.p2.p.x && e.p1.p.y == e.p2.p.y) continue;
507 if (e.p1.p.z == e.p2.p.z && e.p1.p.y == e.p2.p.y) continue;
508 if (e.p1.p.x == e.p2.p.x && e.p1.p.z == e.p2.p.z) continue;
511 transforms = new Matrix[] {
512 Matrix.translate(new Vec(0, 0, height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
513 Matrix.translate(new Vec(0, 0, -height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
514 Matrix.translate(new Vec(0, depth, 0)),
515 Matrix.translate(new Vec(0, -depth, 0)),
516 Matrix.translate(new Vec( width, 0, 0)),
517 Matrix.translate(new Vec(-width, 0, 0)),
521 transforms = new Matrix[] {
522 Matrix.translate(new Vec(lshift, 0, height)),
523 Matrix.translate(new Vec(lshift, 0, -height)),
524 Matrix.translate(new Vec(rshift, 0, height)),
525 Matrix.translate(new Vec(rshift, 0, -height)),
526 Matrix.translate(new Vec( width, 0, 0)),
527 Matrix.translate(new Vec(-width, 0, 0)),
528 Matrix.translate(new Vec(0, depth, 0)),
529 Matrix.translate(new Vec(0, -depth, 0)),
537 public class MyMenuBar extends JMenuBar {
541 JMenu tileMenu = new JMenu("Tile");
542 JMenu goalMenu = new JMenu("Goal");
543 JMenu hideMenu = new JMenu("Actions");
545 hideMenu.add(new MyMenuItem("Start Anneal") { public void hit() { anneal = true; }});
546 hideMenu.add(new MyMenuItem("Stop Anneal") { public void hit() { anneal = false; }});
547 hideMenu.add(new MyMenuItem("Reset to high temperature") { public void hit() { temp = 1; }});
548 hideMenu.add(new MyMenuItem("Subdivide surface") { public void hit() { breaks++; }});
549 hideMenu.add(new MyMenuItem("Show Goal") { public void hit() { goalon = true; }});
550 hideMenu.add(new MyMenuItem("Hide Goal") { public void hit() { goalon = false; }});
551 hideMenu.add(new MyMenuItem("Show All Neighbors") { public void hit() { neighbors = true; }});
552 hideMenu.add(new MyMenuItem("Show One Neighbor Wireframe") { public void hit() { neighborsWireOne = true; }});
553 hideMenu.add(new MyMenuItem("Show All Neighbors Wireframe") { public void hit() { neighborsWire = true; neighborsWireOne = false;}});
554 hideMenu.add(new MyMenuItem("Hide Neighbors") { public void hit() { neighborsWire = false; neighborsWireOne = false; neighbors = false; }});
556 goalMenu.add(new MyMenuItem("Fish with face") { public void hit() {
557 loadGoal("face.stl");
558 //goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
559 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
560 //goal.transform(Matrix.scale(1, 2.2f, 1));
561 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
562 //factor = factor * 0.8f;
563 goal.transform(Matrix.scale(0.3f));
564 //goal.transform(Matrix.rotate(new Vec(0,1,0), (float)(Math.PI*1/3)));
565 goal.transform(Matrix.rotate(new Vec(1,0,0), (float)(Math.PI*1/3)));
566 fixupGoal(true, false);
567 //goal.transform(Matrix.translate(new Vec(0.145f, 0, 0)));
568 fixupGoal(false, true);
570 goalMenu.add(new MyMenuItem("Fish") { public void hit() {
571 loadGoal("fish.stl");
572 //goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
573 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
574 goal.transform(Matrix.scale(1, 2.2f, 1));
575 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
576 factor = factor * 0.8f;
577 goal.transform(Matrix.scale(factor));
578 fixupGoal(true, false);
579 //goal.transform(Matrix.translate(new Vec(0.145f, 0, 0)));
580 fixupGoal(false, true);
582 goalMenu.add(new MyMenuItem("Hammerhead Fish") { public void hit() {
583 loadGoal("fish.stl");
584 goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
585 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(3*Math.PI/2)));
586 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
588 goal.transform(Matrix.scale(factor));
591 goalMenu.add(new MyMenuItem("Vertical Fish") { public void hit() {
592 loadGoal("fish.stl");
593 //goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
594 //goal.transform(Matrix.rotate(new Vec(1, 0, 0), (float)(Math.PI/2)));
595 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
596 goal.transform(Matrix.scale(factor/1.6f));
599 goalMenu.add(new MyMenuItem("Torus") { public void hit() {
600 loadGoal("torus.stl");
601 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
602 goal.transform(Matrix.scale(factor/2.5f));
603 goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
606 tileMenu.add(new MyMenuItem("Hex Brick") { public void hit() {
607 hexBrick(false, false);
609 tileMenu.add(new MyMenuItem("Hex Brick, offset planes") { public void hit() {
610 hexBrick(true, false);
612 tileMenu.add(new MyMenuItem("Hex Brick, rotated") { public void hit() {
613 hexBrick(false, true);
615 tileMenu.add(new MyMenuItem("Temp (do not use)") { public void hit() {
616 tile = new Mesh(false);
617 float width = (float)0.8;
618 float depth = (float)0.08;
619 float height = (float)0.4;
621 float rshift = width/2;
622 float lshift = -(width/2);
624 //float shift = height/2;
625 //width = (width*2)/3;
627 transforms = new Matrix[] {
629 Matrix.translate(new Vec(lshift/2, depth, -shift)),
630 Matrix.translate(new Vec(rshift/2, depth, -shift)),
631 Matrix.translate(new Vec(lshift/2, -depth, -shift)),
632 Matrix.translate(new Vec(rshift/2, -depth, -shift)),
634 Matrix.translate(new Vec(lshift, depth/2, -shift)),
635 Matrix.translate(new Vec(rshift, depth/2, -shift)),
636 Matrix.translate(new Vec(lshift, -depth/2, -shift)),
637 Matrix.translate(new Vec(rshift, -depth/2, -shift)),
641 Matrix.translate(new Vec(lshift, depth, -shift)),
642 Matrix.translate(new Vec(rshift, depth, -shift)),
643 Matrix.translate(new Vec(lshift, -depth, -shift)),
644 Matrix.translate(new Vec(rshift, -depth, -shift)),
647 Matrix.translate(new Vec(lshift, depth, shift)),
648 Matrix.translate(new Vec(rshift, depth, shift)),
649 Matrix.translate(new Vec(lshift, -depth, shift)),
650 Matrix.translate(new Vec(rshift, -depth, shift)),
652 //Matrix.translate(new Vec(0, depth, 0)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
653 //Matrix.translate(new Vec(0, -depth, 0)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
654 //Matrix.translate(new Vec(0, 0, height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
655 //Matrix.translate(new Vec(0, 0, -height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
657 //Matrix.translate(new Vec(0, depth, 0)),
658 //Matrix.translate(new Vec(0, -depth, 0)),
659 Matrix.translate(new Vec(0, 0, height)),
660 Matrix.translate(new Vec(0, 0, -height)),
662 //Matrix.translate(new Vec(lshift, depth, height/2)),
663 //Matrix.translate(new Vec(lshift, depth, -height/2)),
664 //Matrix.translate(new Vec(rshift, -depth, height/2)),
665 //Matrix.translate(new Vec(rshift, -depth, -height/2)),
666 //Matrix.translate(new Vec(rshift, 0, height)),
667 //Matrix.translate(new Vec(rshift, 0, -height)),
669 Matrix.translate(new Vec( width, 0, 0)),
670 Matrix.translate(new Vec(-width, 0, 0)),
676 tileMenu.add(new MyMenuItem("Dense Packing (hex)") { public void hit() {
677 tile = new Mesh(false);
678 float width = (float)3.2;
679 float depth = (float)0.32;
680 float height = (float)1.6;
683 float sin = (float)(unit * Math.sin(Math.PI/3));
684 float cos = (float)(unit * Math.cos(Math.PI/3));
685 float x = (float)(r*Math.tan(Math.PI/6));
686 float z = (float)(r/Math.cos(Math.PI/6));
687 height = 2*r*(float)Math.sqrt(2f/3f);
700 transforms = new Matrix[] {
701 Matrix.translate(new Vec(-unit, 0, 0)),
702 Matrix.translate(new Vec( unit, 0, 0)),
703 Matrix.translate(new Vec(-cos, 0, sin)),
704 Matrix.translate(new Vec( cos, 0, sin)),
705 Matrix.translate(new Vec(-cos, 0, -sin)),
706 Matrix.translate(new Vec( cos, 0, -sin)),
707 Matrix.translate(new Vec( 0, height, z)),
708 Matrix.translate(new Vec(-r, height, -x)),
709 Matrix.translate(new Vec( r, height, -x)),
710 Matrix.translate(new Vec( 0, -height, -z)),
711 Matrix.translate(new Vec(-r, -height, x)),
712 Matrix.translate(new Vec( r, -height, x)),
715 generateTile(transforms, tile);
718 tileMenu.add(new MyMenuItem("Slim Dense Packing (Cubic)") { public void hit() {
719 tile = new Mesh(false);
722 float sin = (float)(unit * Math.sin(Math.PI/3));
723 float cos = (float)(unit * Math.cos(Math.PI/3));
724 float x = (float)(r*Math.tan(Math.PI/6));
725 float z = (float)(r/Math.cos(Math.PI/6));
726 float height = 2*r*(float)Math.sqrt(2f/3f);
728 transforms = new Matrix[] {
729 Matrix.translate(new Vec(-unit, 0, 0)),
730 Matrix.translate(new Vec( unit, 0, 0)),
731 Matrix.translate(new Vec(-cos, 0, sin)),
732 Matrix.translate(new Vec( cos, 0, sin)),
733 Matrix.translate(new Vec(-cos, 0, -sin)),
734 Matrix.translate(new Vec( cos, 0, -sin)),
737 Matrix.translate(new Vec( 0, height, -z)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
738 Matrix.translate(new Vec(-r, height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
739 Matrix.translate(new Vec( r, height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
740 Matrix.translate(new Vec( 0, -height, -z)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
741 Matrix.translate(new Vec(-r, -height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
742 Matrix.translate(new Vec( r, -height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
745 Matrix.translate(new Vec( 0, height, -z)),
746 Matrix.translate(new Vec(-r, height, x)),
747 Matrix.translate(new Vec( r, height, x)),
748 Matrix.translate(new Vec( 0, -height, z)),
749 Matrix.translate(new Vec(-r, -height, -x)),
750 Matrix.translate(new Vec( r, -height, -x)),
751 //Matrix.rotate(new Vec(0,0,1), (float)Math.PI),
754 Matrix.translate(new Vec( 0, height, -z)).times(Matrix.scale(-1,1,-1)),
755 Matrix.translate(new Vec(-r, height, x)).times(Matrix.scale(-1,1,-1)),
756 Matrix.translate(new Vec( r, height, x)).times(Matrix.scale(-1,1,-1)),
757 Matrix.translate(new Vec( 0, -height, -z)).times(Matrix.scale(-1,1,-1)),
758 Matrix.translate(new Vec(-r, -height, x)).times(Matrix.scale(-1,1,-1)),
759 Matrix.translate(new Vec( r, -height, x)).times(Matrix.scale(-1,1,-1)),
763 generateTile(transforms, tile);
764 //for(int i=0; i<transforms.length; i++) transforms[i] = Matrix.translate(m.times(vecs[i]));
765 Matrix m = Matrix.scale(1.9f, 1f ,1);
766 //Matrix m = Matrix.scale(1f, 2.1f, 1f);
768 for(int i=0; i<transforms.length; i++)
769 transforms[i] = transforms[i].preMultiplyTranslationalComponentBy(m);
773 tileMenu.add(new MyMenuItem("Genus-1") { public void hit() {
775 tile = new Mesh(false);
776 Matrix mm = Matrix.scale(0.1f);
783 new Point( 1, 1, -1),
784 new Point(-1, 1, -1),
785 new Point(-2, 2, 0));
790 new Point( 2, 2, 0));
792 new Point( 1, 1, -1),
795 new Point(-1, 1, -1));
799 new Point(-2, -2, 0),
800 new Point(-1, -1, -1),
801 new Point( 1, -1, -1),
802 new Point( 2, -2, 0));
804 new Point( 2, -2, 0),
805 new Point( 1, -1, 1),
806 new Point(-1, -1, 1),
807 new Point(-2, -2, 0));
809 new Point(-1, -1, -1),
810 new Point(-1, -1, 1),
811 new Point( 1, -1, 1),
812 new Point( 1, -1, -1));
816 new Point( 2, -2, 0),
817 new Point( 1, -1, -1),
818 new Point( 1, 1, -1),
819 new Point( 2, 2, 0));
823 new Point( 1, -1, 1),
824 new Point( 2, -2, 0));
826 new Point( 1, -1, -1),
827 new Point( 1, -1, 1),
829 new Point( 1, 1, -1));
834 new Point(-1, 1, -1),
835 new Point(-1, -1, -1),
836 new Point(-2, -2, 0));
838 new Point(-2, -2, 0),
839 new Point(-1, -1, 1),
841 new Point(-2, 2, 0));
843 new Point(-1, 1, -1),
845 new Point(-1, -1, 1),
846 new Point(-1, -1, -1));
853 transforms = new Matrix[] {
854 Matrix.translate(new Vec(0, 0.2f,0))
855 .times(Matrix.rotate(new Vec(0,1,0), (float)(1*Math.PI/2))),
857 Matrix.translate(new Vec(0,-0.2f,0))
858 .times(Matrix.rotate(new Vec(0,1,0), (float)(-1*Math.PI/2))),
860 Matrix.translate(new Vec( 0.2f,0,0))
861 .times(Matrix.rotate(new Vec(1,0,0), (float)(1*Math.PI/2))),
863 Matrix.translate(new Vec(-0.2f,0,0))
864 .times(Matrix.rotate(new Vec(1,0,0), (float)(-1*Math.PI/2))),
866 //Matrix.rotate(new Vec(0,0,1), (float)(1*Math.PI/2)),
869 Matrix.rotate(new Vec(0,0,1), (float)(1*Math.PI/2)),
871 Matrix.rotate(new Vec(0,0,1), (float)(3*Math.PI/2)),
872 Matrix.rotate(new Vec(1,0,0), (float)(2*Math.PI/2)),
875 //Matrix.rotate(new Vec(0,0,1), (float)(2*Math.PI/2)),
876 //Matrix.scale(1,-1,1),
878 //Matrix.translate(new Vec( 0.2f, 0,0))
879 //.times(Matrix.rotate(new Vec(0,0,1), (float)( 1*Math.PI/2)))
880 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 3*Math.PI/2))),
882 //Matrix.translate(new Vec(-0.2f, 0,0))
883 //.times(Matrix.rotate(new Vec(0,0,1), (float)( 3*Math.PI/2)))
884 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 3*Math.PI/2))),
886 //Matrix.rotate(new Vec(0,0,1), (float)( 0*Math.PI/2))
887 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
888 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
889 //Matrix.rotate(new Vec(0,0,1), (float)( 1*Math.PI/2))
890 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
891 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
893 //Matrix.rotate(new Vec(0,0,1), (float)( 0*Math.PI/2))
894 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
895 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
896 //Matrix.rotate(new Vec(0,0,1), (float)( 0*Math.PI/2))
897 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
898 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
904 tileMenu.add(new MyMenuItem("Hammerhead") { public void hit() {
906 tile = new Mesh(false);
907 Matrix mm = Matrix.ONE;
913 Point a1 = new Point( -width/2, height2/2, -depth/2);
914 Point b1 = new Point( 0, height2/2, -depth/2);
915 Point c1 = new Point( 0, height1+height2/2, -depth/2);
916 Point d1 = new Point( width/2, height1+height2/2, -depth/2);
917 Point e1 = new Point( width/2, height2/2, -depth/2);
918 Point f1 = new Point( width/2, -height2/2, -depth/2);
919 Point g1 = new Point( width/2,-height1-height2/2, -depth/2);
920 Point h1 = new Point( 0,-height1-height2/2, -depth/2);
921 Point i1 = new Point( 0, -height2/2, -depth/2);
922 Point j1 = new Point( -width/2, -height2/2, -depth/2);
923 Point a2 = new Point( -width/2, height2/2, depth/2);
924 Point b2 = new Point( 0, height2/2, depth/2);
925 Point c2 = new Point( 0, height1+height2/2, depth/2);
926 Point d2 = new Point( width/2, height1+height2/2, depth/2);
927 Point e2 = new Point( width/2, height2/2, depth/2);
928 Point f2 = new Point( width/2, -height2/2, depth/2);
929 Point g2 = new Point( width/2,-height1-height2/2, depth/2);
930 Point h2 = new Point( 0,-height1-height2/2, depth/2);
931 Point i2 = new Point( 0, -height2/2, depth/2);
932 Point j2 = new Point( -width/2, -height2/2, depth/2);
934 quad(tile, mm, a1, b1, i1, j1);
935 quad(tile, mm, c1, d1, e1, b1);
936 quad(tile, mm, b1, e1, f1, i1);
937 quad(tile, mm, i1, f1, g1, h1);
939 quad(tile, mm, j2, i2, b2, a2);
940 quad(tile, mm, b2, e2, d2, c2);
941 quad(tile, mm, i2, f2, e2, b2);
942 quad(tile, mm, h2, g2, f2, i2);
944 quad(tile, mm, d1, d2, e2, e1);
945 quad(tile, mm, e1, e2, f2, f1);
946 quad(tile, mm, f1, f2, g2, g1);
947 quad(tile, mm, h1, g1, g2, h2);
948 quad(tile, mm, i2, i1, h1, h2);
949 quad(tile, mm, j1, i1, i2, j2);
950 quad(tile, mm, a2, a1, j1, j2);
951 quad(tile, mm, a1, a2, b2, b1);
952 quad(tile, mm, c2, c1, b1, b2);
953 quad(tile, mm, c1, c2, d2, d1);
955 transforms = new Matrix[] {
957 mm.times(Matrix.translate(new Vec( width, 0, 0))),
958 mm.times(Matrix.translate(new Vec( -width, 0, 0))),
959 mm.times(Matrix.translate(new Vec(-width/2, height1+height2, 0))),
960 mm.times(Matrix.translate(new Vec( width/2, height1+height2, 0))),
961 mm.times(Matrix.translate(new Vec(-width/2,-height1-height2, 0))),
962 mm.times(Matrix.translate(new Vec( width/2,-height1-height2, 0))),
964 mm.times(Matrix.translate(new Vec( width/2, 0, depth))),
965 mm.times(Matrix.translate(new Vec( -width/2, 0, depth))),
966 mm.times(Matrix.translate(new Vec( 0, height1+height2, depth))),
967 mm.times(Matrix.translate(new Vec( 0,-height1-height2, depth))),
969 mm.times(Matrix.translate(new Vec( width/2, 0, -depth))),
970 mm.times(Matrix.translate(new Vec( -width/2, 0, -depth))),
971 mm.times(Matrix.translate(new Vec( 0, height1+height2, -depth))),
972 mm.times(Matrix.translate(new Vec( 0,-height1-height2, -depth))),
979 // Finally, add all the menus to the menu bar.