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 {
56 public static int verts = 1;
58 public static final Random random = new Random();
60 /** magnification factor */
61 private static final float MAG = 1;
62 public static final float MATCHING_EPSILON = 0.001f;
64 private static boolean small(float f) { return Math.abs(f) < 0.001; }
65 public void generateTile(Matrix[] matrices, Mesh mesh) {
67 HashSet<HalfSpace> halfSpaces = new HashSet<HalfSpace>();
68 HashSet<Polygon> polygons = new HashSet<Polygon>();
69 for(Matrix m : matrices) {
70 Vec v = m.getTranslationalComponent();
71 if (v.mag() < 0.0001) continue;
74 Point p = Point.ORIGIN.plus(v);
77 //System.out.println(v);
78 HalfSpace hs = new HalfSpace(p, v.norm());
80 polygons.add(new Polygon(hs));
82 for(Polygon p : polygons) {
83 System.out.println(p.plane.norm + " " + p.plane.dvalue);
84 for(HalfSpace hs : halfSpaces) {
85 if (p.plane==hs) continue;
92 private void quad(Mesh mesh, Matrix m, Point p1_, Point p2_, Point p3_, Point p4_) {
93 Point p1 = m.times(p1_);
94 Point p2 = m.times(p2_);
95 Point p3 = m.times(p3_);
96 Point p4 = m.times(p4_);
97 Point c = new Point((p1.x+p2.x+p3.x+p4.x)/4,
98 (p1.y+p2.y+p3.y+p4.y)/4,
99 (p1.z+p2.z+p3.z+p4.z)/4);
100 mesh.newT(p1, p2, c, null, 0);
101 mesh.newT(p2, p3, c, null, 0);
102 mesh.newT(p3, p4, c, null, 0);
103 mesh.newT(p4, p1, c, null, 0);
106 public void loadGoal(String file) {
108 StlFile stlf = new StlFile();
109 InputStream res = this.getClass().getClassLoader().getResourceAsStream(file);
110 stlf.readBinaryFile(file, res);
111 goal = new Mesh(false);
112 for(int i=0; i<stlf.coordArray.length; i+=3) {
113 Point p0 = new Point(stlf.coordArray[i+0].x * MAG, stlf.coordArray[i+0].y * MAG, stlf.coordArray[i+0].z * MAG);
114 Point p1 = new Point(stlf.coordArray[i+1].x * MAG, stlf.coordArray[i+1].y * MAG, stlf.coordArray[i+1].z * MAG);
115 Point p2 = new Point(stlf.coordArray[i+2].x * MAG, stlf.coordArray[i+2].y * MAG, stlf.coordArray[i+2].z * MAG);
116 Vec n = new Vec(stlf.normArray[i/3].x * MAG, stlf.normArray[i/3].y * MAG, stlf.normArray[i/3].z * MAG);
117 Mesh.T t = goal.newT(p0, p1, p2, n, 0);
119 float goal_width = goal.diagonal().dot(new Vec(1, 0, 0));
120 float goal_height = goal.diagonal().dot(new Vec(0, 1, 0));
121 float goal_depth = goal.diagonal().dot(new Vec(0, 0, 1));
123 } catch (Exception e) { throw new RuntimeException(e);}
125 public void fixupGoal() { fixupGoal(true, true); }
126 public void fixupGoal(boolean recenter, boolean lock) {
127 // translate to match centroid
129 goal.transform(Matrix.translate(tile.centroid().minus(goal.centroid())));
131 goal.makeVerticesImmutable();
132 tile.error_against = goal;
133 goal.error_against = tile;
137 public Main(JFrame f) { super(f); }
139 public synchronized void fixupTile() {
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;
204 public void breakit() {
205 int oldverts = verts;
206 if (verts > 2000 && !force) return;
208 System.out.println("doubling vertices.");
209 PriorityQueue<Mesh.E> es = new PriorityQueue<Mesh.E>();
210 for(Mesh.T t : tile) {
217 for(int i=0; i<Math.min(oldverts,50); i++) {
218 Mesh.E e = es.poll();
224 System.out.println("now have " + verts + " vertices; max is 2000");
228 public boolean rand(double temp, Mesh.Vertex p) {
230 p.reComputeErrorAround();
231 double tile_error = tile.error();
232 double goal_error = goal.error();
234 float max = p.averageEdgeLength()/5;
235 Vec v = new Vec(random.nextFloat(), random.nextFloat(), random.nextFloat());
236 v = v.norm().times((random.nextFloat() - 0.5f) * max);
237 Matrix m = Matrix.translate(v);
238 boolean good = p.move(v, false);
239 if (!good) { return false; }
241 double new_tile_error = tile.error();
242 double new_goal_error = goal.error();
243 double tile_delta = (new_tile_error - tile_error) / tile_error;
244 double goal_delta = (new_goal_error - goal_error) / goal_error;
245 double delta = tile_delta + goal_delta;
246 double swapProbability = Math.exp((-1 * delta) / temp);
248 //boolean doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
249 //boolean doSwap = good && (tile_delta + goal_delta <= 0);
250 //if (temp < 0.000001) doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
251 boolean doSwap = good && (Math.random() < swapProbability);
253 // always move uphill if possible -- potential idea
254 if (tile_delta <= 0 && goal_delta <= 0 && good) doSwap = true;
256 doSwap = tile_delta <= 0 && goal_delta <= 0 && good;
259 tile_error = new_tile_error;
260 goal_error = new_goal_error;
264 p.move(v.times(-1), true);
267 p.reComputeErrorAround();
273 public void anneal() throws Exception {
277 boolean seek_upward = false;
278 double acceptance = 1;
281 if (!anneal) { repaint(); Thread.sleep(10); continue; }
283 double ratio = (hits+misses==0) ? 1 : (hits / (hits+misses));
287 acceptance = (ratio+acceptance)/2;
288 accepts = (int)(Math.ceil(ratio*100));
289 temps = (int)(Math.ceil(temp*1000));
290 vertss = tile.size();
298 } else if (acceptance > 0.96) gamma = 0.1f;
299 else if (acceptance > 0.9) gamma = 0.2f;
300 else if (acceptance > 0.8) gamma = 0.3f;
301 else if (acceptance > 0.6) gamma = 0.4f;
302 else if (acceptance > 0.3) gamma = 0.8f;
303 else if (acceptance > 0.15) gamma = 0.94f;
304 else if (acceptance > 0.10) gamma = 0.98f;
306 else if (acceptance < 0.01) breaks++;
309 if (acceptance > 0.25) seek_upward = false;
310 else gamma = 2-gamma;
317 HashSet<Mesh.Vertex> hs = new HashSet<Mesh.Vertex>();
318 for(Mesh.Vertex p : tile.vertices()) hs.add(p);
319 Mesh.Vertex[] pts = (Mesh.Vertex[])hs.toArray(new Mesh.Vertex[0]);
322 long then = System.currentTimeMillis();
323 for(int i=0; i<300; i++) {
325 Mesh.Vertex v = pts[Math.abs(random.nextInt()) % pts.length];
327 if (!rand(temp,v)) { i--; continue; }
328 v.recomputeFundamentalQuadricIfStale();
329 v.recomputeFundamentalQuadricIfNeighborChanged();
336 System.out.println("temp="+temp + " ratio="+(Math.ceil(acceptance*100)) + " " +
337 "points_per_second=" +
338 (count*1000)/((double)(System.currentTimeMillis()-then)));
339 for(Mesh.Vertex p : goal.vertices()) {
340 p.quadricStale = true;
341 p.recomputeFundamentalQuadricIfNeighborChanged();
348 public static void main(String[] s) throws Exception {
349 JFrame f = new JFrame();
350 Main main = new Main(f);
351 f.setJMenuBar(main.new MyMenuBar());
359 public class MyMenuItem extends JMenuItem implements ActionListener {
360 public MyMenuItem(String s) {
362 this.addActionListener(this);
364 public void actionPerformed(ActionEvent event) {
365 synchronized(Main.this) {
372 public void hexBrick(boolean offset, boolean rotated) {
373 tile = new Mesh(false);
374 float width = (float)0.8;
375 float depth = (float)0.08;
376 float height = (float)0.4;
377 float rshift = width/2;
378 float lshift = -(width/2);
380 Point ltf = new Point(lshift, (depth/2), (height/2));
381 Point mtf = new Point( 0.0, (depth/2), (height/2));
382 Point rtf = new Point(rshift, (depth/2), (height/2));
383 Point lbf = new Point(lshift, -(depth/2), (height/2));
384 Point mbf = new Point( 0.0, -(depth/2), (height/2));
385 Point rbf = new Point(rshift, -(depth/2), (height/2));
387 Point ltc = new Point(lshift, (depth/2), 0);
388 Point mtc = new Point( 0.0, (depth/2), 0);
389 Point rtc = new Point(rshift, (depth/2), 0);
390 Point lbc = new Point(lshift, -(depth/2), 0);
391 Point mbc = new Point( 0.0, -(depth/2), 0);
392 Point rbc = new Point(rshift, -(depth/2), 0);
394 Point ltn = new Point(lshift, (depth/2), -(height/2));
395 Point mtn = new Point( 0.0, (depth/2), -(height/2));
396 Point rtn = new Point(rshift, (depth/2), -(height/2));
397 Point lbn = new Point(lshift, -(depth/2), -(height/2));
398 Point mbn = new Point( 0.0, -(depth/2), -(height/2));
399 Point rbn = new Point(rshift, -(depth/2), -(height/2));
402 Point[] points = new Point[] {
427 tile.newT(ltf, mtf, mtc, null, 1);
428 tile.newT(mtc, ltc, ltf, null, 1);
429 tile.newT(mtf, rtf, rtc, null, 1);
430 tile.newT(rtc, mtc, mtf, null, 1);
432 tile.newT(ltc, mtc, mtn, null, 1);
433 tile.newT(mtn, ltn, ltc, null, 1);
434 tile.newT(mtc, rtc, rtn, null, 1);
435 tile.newT(rtn, mtn, mtc, null, 1);
437 // bottom (swap normals)
438 tile.newT(mbf, lbf, mbc, null, 2);
439 tile.newT(lbc, mbc, lbf, null, 2);
440 tile.newT(rbf, mbf, rbc, null, 2);
441 tile.newT(mbc, rbc, mbf, null, 2);
443 tile.newT(mbc, lbc, mbn, null, 2);
444 tile.newT(lbn, mbn, lbc, null, 2);
446 tile.newT(rbc, mbc, rbn, null, 2);
447 tile.newT(mbn, rbn, mbc, null, 2);
451 tile.newT(ltf, ltc, lbc, null, 3);
452 tile.newT(lbc, lbf, ltf, null, 3);
453 tile.newT(ltc, ltn, lbn, null, 3);
454 tile.newT(lbn, lbc, ltc, null, 3);
456 // right (swap normals)
457 tile.newT(rtc, rtf, rbc, null, 4);
458 tile.newT(rbf, rbc, rtf, null, 4);
459 tile.newT(rtn, rtc, rbn, null, 4);
460 tile.newT(rbc, rbn, rtc, null, 4);
463 tile.newT(ltn, mtn, mbn, null, 5);
464 tile.newT(ltn, mbn, lbn, null, 5);
465 tile.newT(mtn, rtn, rbn, null, 5);
466 tile.newT(mtn, rbn, mbn, null, 5);
469 tile.newT(mtf, ltf, mbf, null, 6);
470 tile.newT(mbf, ltf, lbf, null, 6);
471 tile.newT(rtf, mtf, rbf, null, 6);
472 tile.newT(rbf, mtf, mbf, null, 6);
475 transforms = new Matrix[] {
476 Matrix.translate(new Vec(lshift, 0, height)),
477 Matrix.translate(new Vec(lshift, 0, -height)),
478 Matrix.translate(new Vec(rshift, 0, height)),
479 Matrix.translate(new Vec(rshift, 0, -height)),
480 Matrix.translate(new Vec( width, 0, 0)),
481 Matrix.translate(new Vec(-width, 0, 0)),
482 Matrix.translate(new Vec(lshift, depth, 0)),
483 Matrix.translate(new Vec(lshift, -depth, 0)),
484 Matrix.translate(new Vec(rshift, depth, 0)),
485 Matrix.translate(new Vec(rshift, -depth, 0)),
488 } else if (rotated) {
489 HashSet<Mesh.E> es = new HashSet<Mesh.E>();
490 for(Mesh.T t : tile) {
496 if (e.p1.p.x == e.p2.p.x && e.p1.p.y == e.p2.p.y) continue;
497 if (e.p1.p.z == e.p2.p.z && e.p1.p.y == e.p2.p.y) continue;
498 if (e.p1.p.x == e.p2.p.x && e.p1.p.z == e.p2.p.z) continue;
501 transforms = new Matrix[] {
502 Matrix.translate(new Vec(0, 0, height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
503 Matrix.translate(new Vec(0, 0, -height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
504 Matrix.translate(new Vec(0, depth, 0)),
505 Matrix.translate(new Vec(0, -depth, 0)),
506 Matrix.translate(new Vec( width, 0, 0)),
507 Matrix.translate(new Vec(-width, 0, 0)),
511 transforms = new Matrix[] {
512 Matrix.translate(new Vec(lshift, 0, height)),
513 Matrix.translate(new Vec(lshift, 0, -height)),
514 Matrix.translate(new Vec(rshift, 0, height)),
515 Matrix.translate(new Vec(rshift, 0, -height)),
516 Matrix.translate(new Vec( width, 0, 0)),
517 Matrix.translate(new Vec(-width, 0, 0)),
518 Matrix.translate(new Vec(0, depth, 0)),
519 Matrix.translate(new Vec(0, -depth, 0)),
527 public class MyMenuBar extends JMenuBar {
531 JMenu tileMenu = new JMenu("Tile");
532 JMenu goalMenu = new JMenu("Goal");
533 JMenu hideMenu = new JMenu("Actions");
535 hideMenu.add(new MyMenuItem("Start Anneal") { public void hit() { anneal = true; }});
536 hideMenu.add(new MyMenuItem("Stop Anneal") { public void hit() { anneal = false; }});
537 hideMenu.add(new MyMenuItem("Reset to high temperature") { public void hit() { temp = 1; }});
538 hideMenu.add(new MyMenuItem("Subdivide surface") { public void hit() { breaks++; }});
539 hideMenu.add(new MyMenuItem("Show Goal") { public void hit() { goalon = true; }});
540 hideMenu.add(new MyMenuItem("Hide Goal") { public void hit() { goalon = false; }});
541 hideMenu.add(new MyMenuItem("Show All Neighbors") { public void hit() { neighbors = true; }});
542 hideMenu.add(new MyMenuItem("Show One Neighbor Wireframe") { public void hit() { neighborsWireOne = true; }});
543 hideMenu.add(new MyMenuItem("Show All Neighbors Wireframe") { public void hit() { neighborsWire = true; neighborsWireOne = false;}});
544 hideMenu.add(new MyMenuItem("Hide Neighbors") { public void hit() { neighborsWire = false; neighborsWireOne = false; neighbors = false; }});
546 goalMenu.add(new MyMenuItem("Fish with face") { public void hit() {
547 loadGoal("face.stl");
548 //goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
549 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
550 //goal.transform(Matrix.scale(1, 2.2f, 1));
551 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
552 //factor = factor * 0.8f;
553 goal.transform(Matrix.scale(0.3f));
554 //goal.transform(Matrix.rotate(new Vec(0,1,0), (float)(Math.PI*1/3)));
555 goal.transform(Matrix.rotate(new Vec(1,0,0), (float)(Math.PI*1/3)));
556 fixupGoal(true, false);
557 //goal.transform(Matrix.translate(new Vec(0.145f, 0, 0)));
558 fixupGoal(false, true);
560 goalMenu.add(new MyMenuItem("Fish") { public void hit() {
561 loadGoal("fish.stl");
562 //goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
563 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
564 goal.transform(Matrix.scale(1, 2.2f, 1));
565 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
566 factor = factor * 0.8f;
567 goal.transform(Matrix.scale(factor));
568 fixupGoal(true, false);
569 //goal.transform(Matrix.translate(new Vec(0.145f, 0, 0)));
570 fixupGoal(false, true);
572 goalMenu.add(new MyMenuItem("Hammerhead Fish") { public void hit() {
573 loadGoal("fish.stl");
574 goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
575 goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(3*Math.PI/2)));
576 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
578 goal.transform(Matrix.scale(factor));
581 goalMenu.add(new MyMenuItem("Vertical Fish") { public void hit() {
582 loadGoal("fish.stl");
583 //goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
584 //goal.transform(Matrix.rotate(new Vec(1, 0, 0), (float)(Math.PI/2)));
585 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
586 goal.transform(Matrix.scale(factor/1.6f));
589 goalMenu.add(new MyMenuItem("Torus") { public void hit() {
590 loadGoal("torus.stl");
591 float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
592 goal.transform(Matrix.scale(factor/2.5f));
593 goal.transform(Matrix.rotate(new Vec(0, 1, 0), (float)(Math.PI/2)));
596 tileMenu.add(new MyMenuItem("Hex Brick") { public void hit() {
597 hexBrick(false, false);
599 tileMenu.add(new MyMenuItem("Hex Brick, offset planes") { public void hit() {
600 hexBrick(true, false);
602 tileMenu.add(new MyMenuItem("Hex Brick, rotated") { public void hit() {
603 hexBrick(false, true);
605 tileMenu.add(new MyMenuItem("Temp (do not use)") { public void hit() {
606 tile = new Mesh(false);
607 float width = (float)0.8;
608 float depth = (float)0.08;
609 float height = (float)0.4;
611 float rshift = width/2;
612 float lshift = -(width/2);
614 //float shift = height/2;
615 //width = (width*2)/3;
617 transforms = new Matrix[] {
619 Matrix.translate(new Vec(lshift/2, depth, -shift)),
620 Matrix.translate(new Vec(rshift/2, depth, -shift)),
621 Matrix.translate(new Vec(lshift/2, -depth, -shift)),
622 Matrix.translate(new Vec(rshift/2, -depth, -shift)),
624 Matrix.translate(new Vec(lshift, depth/2, -shift)),
625 Matrix.translate(new Vec(rshift, depth/2, -shift)),
626 Matrix.translate(new Vec(lshift, -depth/2, -shift)),
627 Matrix.translate(new Vec(rshift, -depth/2, -shift)),
631 Matrix.translate(new Vec(lshift, depth, -shift)),
632 Matrix.translate(new Vec(rshift, depth, -shift)),
633 Matrix.translate(new Vec(lshift, -depth, -shift)),
634 Matrix.translate(new Vec(rshift, -depth, -shift)),
637 Matrix.translate(new Vec(lshift, depth, shift)),
638 Matrix.translate(new Vec(rshift, depth, shift)),
639 Matrix.translate(new Vec(lshift, -depth, shift)),
640 Matrix.translate(new Vec(rshift, -depth, shift)),
642 //Matrix.translate(new Vec(0, depth, 0)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
643 //Matrix.translate(new Vec(0, -depth, 0)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
644 //Matrix.translate(new Vec(0, 0, height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
645 //Matrix.translate(new Vec(0, 0, -height)).times(Matrix.rotate(new Vec(0, 0, 1), (float)Math.PI)),
647 //Matrix.translate(new Vec(0, depth, 0)),
648 //Matrix.translate(new Vec(0, -depth, 0)),
649 Matrix.translate(new Vec(0, 0, height)),
650 Matrix.translate(new Vec(0, 0, -height)),
652 //Matrix.translate(new Vec(lshift, depth, height/2)),
653 //Matrix.translate(new Vec(lshift, depth, -height/2)),
654 //Matrix.translate(new Vec(rshift, -depth, height/2)),
655 //Matrix.translate(new Vec(rshift, -depth, -height/2)),
656 //Matrix.translate(new Vec(rshift, 0, height)),
657 //Matrix.translate(new Vec(rshift, 0, -height)),
659 Matrix.translate(new Vec( width, 0, 0)),
660 Matrix.translate(new Vec(-width, 0, 0)),
666 tileMenu.add(new MyMenuItem("Dense Packing (hex)") { public void hit() {
667 tile = new Mesh(false);
668 float width = (float)3.2;
669 float depth = (float)0.32;
670 float height = (float)1.6;
673 float sin = (float)(unit * Math.sin(Math.PI/3));
674 float cos = (float)(unit * Math.cos(Math.PI/3));
675 float x = (float)(r*Math.tan(Math.PI/6));
676 float z = (float)(r/Math.cos(Math.PI/6));
677 height = 2*r*(float)Math.sqrt(2f/3f);
690 transforms = new Matrix[] {
691 Matrix.translate(new Vec(-unit, 0, 0)),
692 Matrix.translate(new Vec( unit, 0, 0)),
693 Matrix.translate(new Vec(-cos, 0, sin)),
694 Matrix.translate(new Vec( cos, 0, sin)),
695 Matrix.translate(new Vec(-cos, 0, -sin)),
696 Matrix.translate(new Vec( cos, 0, -sin)),
697 Matrix.translate(new Vec( 0, height, z)),
698 Matrix.translate(new Vec(-r, height, -x)),
699 Matrix.translate(new Vec( r, height, -x)),
700 Matrix.translate(new Vec( 0, -height, -z)),
701 Matrix.translate(new Vec(-r, -height, x)),
702 Matrix.translate(new Vec( r, -height, x)),
705 generateTile(transforms, tile);
708 tileMenu.add(new MyMenuItem("Slim Dense Packing (Cubic)") { public void hit() {
709 tile = new Mesh(false);
712 float sin = (float)(unit * Math.sin(Math.PI/3));
713 float cos = (float)(unit * Math.cos(Math.PI/3));
714 float x = (float)(r*Math.tan(Math.PI/6));
715 float z = (float)(r/Math.cos(Math.PI/6));
716 float height = 2*r*(float)Math.sqrt(2f/3f);
718 transforms = new Matrix[] {
719 Matrix.translate(new Vec(-unit, 0, 0)),
720 Matrix.translate(new Vec( unit, 0, 0)),
721 Matrix.translate(new Vec(-cos, 0, sin)),
722 Matrix.translate(new Vec( cos, 0, sin)),
723 Matrix.translate(new Vec(-cos, 0, -sin)),
724 Matrix.translate(new Vec( cos, 0, -sin)),
727 Matrix.translate(new Vec( 0, height, -z)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
728 Matrix.translate(new Vec(-r, height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
729 Matrix.translate(new Vec( r, height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
730 Matrix.translate(new Vec( 0, -height, -z)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
731 Matrix.translate(new Vec(-r, -height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
732 Matrix.translate(new Vec( r, -height, x)).times(Matrix.rotate(new Vec(0,1,0), (float)Math.PI)),
735 Matrix.translate(new Vec( 0, height, -z)),
736 Matrix.translate(new Vec(-r, height, x)),
737 Matrix.translate(new Vec( r, height, x)),
738 Matrix.translate(new Vec( 0, -height, z)),
739 Matrix.translate(new Vec(-r, -height, -x)),
740 Matrix.translate(new Vec( r, -height, -x)),
741 //Matrix.rotate(new Vec(0,0,1), (float)Math.PI),
744 Matrix.translate(new Vec( 0, height, -z)).times(Matrix.scale(-1,1,-1)),
745 Matrix.translate(new Vec(-r, height, x)).times(Matrix.scale(-1,1,-1)),
746 Matrix.translate(new Vec( r, height, x)).times(Matrix.scale(-1,1,-1)),
747 Matrix.translate(new Vec( 0, -height, -z)).times(Matrix.scale(-1,1,-1)),
748 Matrix.translate(new Vec(-r, -height, x)).times(Matrix.scale(-1,1,-1)),
749 Matrix.translate(new Vec( r, -height, x)).times(Matrix.scale(-1,1,-1)),
753 generateTile(transforms, tile);
754 //for(int i=0; i<transforms.length; i++) transforms[i] = Matrix.translate(m.times(vecs[i]));
755 Matrix m = Matrix.scale(1.9f, 1f ,1);
756 //Matrix m = Matrix.scale(1f, 2.1f, 1f);
758 for(int i=0; i<transforms.length; i++)
759 transforms[i] = transforms[i].preMultiplyTranslationalComponentBy(m);
763 tileMenu.add(new MyMenuItem("Genus-1") { public void hit() {
765 tile = new Mesh(false);
766 Matrix mm = Matrix.scale(0.1f);
773 new Point( 1, 1, -1),
774 new Point(-1, 1, -1),
775 new Point(-2, 2, 0));
780 new Point( 2, 2, 0));
782 new Point( 1, 1, -1),
785 new Point(-1, 1, -1));
789 new Point(-2, -2, 0),
790 new Point(-1, -1, -1),
791 new Point( 1, -1, -1),
792 new Point( 2, -2, 0));
794 new Point( 2, -2, 0),
795 new Point( 1, -1, 1),
796 new Point(-1, -1, 1),
797 new Point(-2, -2, 0));
799 new Point(-1, -1, -1),
800 new Point(-1, -1, 1),
801 new Point( 1, -1, 1),
802 new Point( 1, -1, -1));
806 new Point( 2, -2, 0),
807 new Point( 1, -1, -1),
808 new Point( 1, 1, -1),
809 new Point( 2, 2, 0));
813 new Point( 1, -1, 1),
814 new Point( 2, -2, 0));
816 new Point( 1, -1, -1),
817 new Point( 1, -1, 1),
819 new Point( 1, 1, -1));
824 new Point(-1, 1, -1),
825 new Point(-1, -1, -1),
826 new Point(-2, -2, 0));
828 new Point(-2, -2, 0),
829 new Point(-1, -1, 1),
831 new Point(-2, 2, 0));
833 new Point(-1, 1, -1),
835 new Point(-1, -1, 1),
836 new Point(-1, -1, -1));
843 transforms = new Matrix[] {
844 Matrix.translate(new Vec(0, 0.2f,0))
845 .times(Matrix.rotate(new Vec(0,1,0), (float)(1*Math.PI/2))),
847 Matrix.translate(new Vec(0,-0.2f,0))
848 .times(Matrix.rotate(new Vec(0,1,0), (float)(-1*Math.PI/2))),
850 Matrix.translate(new Vec( 0.2f,0,0))
851 .times(Matrix.rotate(new Vec(1,0,0), (float)(1*Math.PI/2))),
853 Matrix.translate(new Vec(-0.2f,0,0))
854 .times(Matrix.rotate(new Vec(1,0,0), (float)(-1*Math.PI/2))),
857 //Matrix.rotate(new Vec(0,0,1), (float)(1*Math.PI/2)),
860 Matrix.rotate(new Vec(0,0,1), (float)(1*Math.PI/2)),
862 Matrix.rotate(new Vec(0,0,1), (float)(3*Math.PI/2)),
863 Matrix.rotate(new Vec(1,0,0), (float)(2*Math.PI/2)),
866 //Matrix.rotate(new Vec(0,0,1), (float)(2*Math.PI/2)),
867 //Matrix.scale(1,-1,1),
869 //Matrix.translate(new Vec( 0.2f, 0,0))
870 //.times(Matrix.rotate(new Vec(0,0,1), (float)( 1*Math.PI/2)))
871 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 3*Math.PI/2))),
873 //Matrix.translate(new Vec(-0.2f, 0,0))
874 //.times(Matrix.rotate(new Vec(0,0,1), (float)( 3*Math.PI/2)))
875 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 3*Math.PI/2))),
877 //Matrix.rotate(new Vec(0,0,1), (float)( 0*Math.PI/2))
878 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
879 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
880 //Matrix.rotate(new Vec(0,0,1), (float)( 1*Math.PI/2))
881 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
882 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
884 //Matrix.rotate(new Vec(0,0,1), (float)( 0*Math.PI/2))
885 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
886 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
887 //Matrix.rotate(new Vec(0,0,1), (float)( 0*Math.PI/2))
888 //.times(Matrix.translate(new Vec(0, -0.2f, 0)))
889 //.times(Matrix.rotate(new Vec(0,1,0), (float)( 1*Math.PI/2))),
895 tileMenu.add(new MyMenuItem("Hammerhead") { public void hit() {
897 tile = new Mesh(false);
898 Matrix mm = Matrix.ONE;
904 Point a1 = new Point( -width/2, height2/2, -depth/2);
905 Point b1 = new Point( 0, height2/2, -depth/2);
906 Point c1 = new Point( 0, height1+height2/2, -depth/2);
907 Point d1 = new Point( width/2, height1+height2/2, -depth/2);
908 Point e1 = new Point( width/2, height2/2, -depth/2);
909 Point f1 = new Point( width/2, -height2/2, -depth/2);
910 Point g1 = new Point( width/2,-height1-height2/2, -depth/2);
911 Point h1 = new Point( 0,-height1-height2/2, -depth/2);
912 Point i1 = new Point( 0, -height2/2, -depth/2);
913 Point j1 = new Point( -width/2, -height2/2, -depth/2);
914 Point a2 = new Point( -width/2, height2/2, depth/2);
915 Point b2 = new Point( 0, height2/2, depth/2);
916 Point c2 = new Point( 0, height1+height2/2, depth/2);
917 Point d2 = new Point( width/2, height1+height2/2, depth/2);
918 Point e2 = new Point( width/2, height2/2, depth/2);
919 Point f2 = new Point( width/2, -height2/2, depth/2);
920 Point g2 = new Point( width/2,-height1-height2/2, depth/2);
921 Point h2 = new Point( 0,-height1-height2/2, depth/2);
922 Point i2 = new Point( 0, -height2/2, depth/2);
923 Point j2 = new Point( -width/2, -height2/2, depth/2);
925 quad(tile, mm, a1, b1, i1, j1);
926 quad(tile, mm, c1, d1, e1, b1);
927 quad(tile, mm, b1, e1, f1, i1);
928 quad(tile, mm, i1, f1, g1, h1);
930 quad(tile, mm, j2, i2, b2, a2);
931 quad(tile, mm, b2, e2, d2, c2);
932 quad(tile, mm, i2, f2, e2, b2);
933 quad(tile, mm, h2, g2, f2, i2);
935 quad(tile, mm, d1, d2, e2, e1);
936 quad(tile, mm, e1, e2, f2, f1);
937 quad(tile, mm, f1, f2, g2, g1);
938 quad(tile, mm, h1, g1, g2, h2);
939 quad(tile, mm, i2, i1, h1, h2);
940 quad(tile, mm, j1, i1, i2, j2);
941 quad(tile, mm, a2, a1, j1, j2);
942 quad(tile, mm, a1, a2, b2, b1);
943 quad(tile, mm, c2, c1, b1, b2);
944 quad(tile, mm, c1, c2, d2, d1);
946 transforms = new Matrix[] {
948 mm.times(Matrix.translate(new Vec( width, 0, 0))),
949 mm.times(Matrix.translate(new Vec( -width, 0, 0))),
950 mm.times(Matrix.translate(new Vec(-width/2, height1+height2, 0))),
951 mm.times(Matrix.translate(new Vec( width/2, height1+height2, 0))),
952 mm.times(Matrix.translate(new Vec(-width/2,-height1-height2, 0))),
953 mm.times(Matrix.translate(new Vec( width/2,-height1-height2, 0))),
955 mm.times(Matrix.translate(new Vec( width/2, 0, depth))),
956 mm.times(Matrix.translate(new Vec( -width/2, 0, depth))),
957 mm.times(Matrix.translate(new Vec( 0, height1+height2, depth))),
958 mm.times(Matrix.translate(new Vec( 0,-height1-height2, depth))),
960 mm.times(Matrix.translate(new Vec( width/2, 0, -depth))),
961 mm.times(Matrix.translate(new Vec( -width/2, 0, -depth))),
962 mm.times(Matrix.translate(new Vec( 0, height1+height2, -depth))),
963 mm.times(Matrix.translate(new Vec( 0,-height1-height2, -depth))),
970 // Finally, add all the menus to the menu bar.