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Revision db608887

Added by Leszek Koltunski over 3 years ago

Progress with Megaminx.

View differences:

src/main/java/org/distorted/objects/FactoryCubit.java
47 47
  private static final float SQ5 = (float)Math.sqrt(5);
48 48
  private static final float SQ6 = (float)Math.sqrt(6);
49 49

  
50
  static final float SIN54   = (SQ5+1)/4;                         // sin(54 deg)
51
  static final float COS54   = (float)(Math.sqrt(10-2*SQ5)/4);    // cos(54 deg)
52

  
53
  static final float MINX_C0  = (SQ5-1)/4;
50
  static final float SIN54    = (SQ5+1)/4;
51
  static final float COS54    = (float)(Math.sqrt(10-2*SQ5)/4);
52
  static final float SIN18    = (SQ5-1)/4;
53
  static final float COS18    = (float)(0.25f*Math.sqrt(10.0f+2.0f*SQ5));
54 54
  static final float COS_HALFD= (float)(Math.sqrt(0.5f-0.1f*SQ5)); // cos(half the dihedral angle)
55 55
  static final float SIN_HALFD= (float)(Math.sqrt(0.5f+0.1f*SQ5)); // sin(half the dihedral angle)
56

  
57
  static final float DIHEDRAL1= (float)(Math.acos(-SQ5/5)*180/Math.PI);
58
  static final float DIHEDRAL2= (float)((180/Math.PI)*Math.asin((2*SIN54*SIN54-1)/COS54) - 90);
59

  
56 60
  static final float MINX_SC  = 0.5f;
57 61

  
58 62
  private static final int IVY_N = 8;
......
749 753
    return new MeshJoined(meshes);
750 754
    }
751 755

  
756
///////////////////////////////////////////////////////////////////////////////////////////////////
757

  
758
  MeshBase createFacesMegaminxEdge(float width, float height)
759
    {
760
    MeshBase[] meshes = new MeshPolygon[6];
761

  
762
    float D = height/COS18;
763
    float W = D*SIN18;
764

  
765
    float Y1 = 0.5f*width;
766
    float Y2 = 0.5f*width + W;
767
    float Y3 = 0.5f*width + 2*W;
768
    float X2 = D*SIN54;
769
    float X1 = 0.5f*height;
770
    float Y4 = D*COS54;
771

  
772
    float[] vertices0 = { -X1, Y1, -X1, -Y1, X1, -Y2, X1, Y2 };
773
    float[] vertices1 = { -X1, Y3, -X1, -Y3, X1, -Y2, X1, Y2 };
774
    float[] vertices2 = { -X2, 0.0f, 0.0f, -Y4, X2, 0.0f, 0.0f, Y4 };
775

  
776
    float[] bands0 = computeBands(0.04f,34,  X1,0.2f,5);
777
    float[] bands1 = computeBands(0.00f,34,0.3f,0.2f,2);
778

  
779
    meshes[0] = new MeshPolygon(vertices0, bands0, 1, 1);
780
    meshes[0].setEffectAssociation(0, 1,0);
781
    meshes[1] = meshes[0].copy(true);
782
    meshes[1].setEffectAssociation(0, 2,0);
783
    meshes[2] = new MeshPolygon(vertices1, bands1, 1, 4);
784
    meshes[2].setEffectAssociation(0, 4,0);
785
    meshes[3] = meshes[2].copy(true);
786
    meshes[3].setEffectAssociation(0, 8,0);
787
    meshes[4] = new MeshPolygon(vertices2, bands1, 1, 4);
788
    meshes[4].setEffectAssociation(0,16,0);
789
    meshes[5] = meshes[4].copy(true);
790
    meshes[5].setEffectAssociation(0,32,0);
791

  
792
    return new MeshJoined(meshes);
793
    }
794

  
752 795
///////////////////////////////////////////////////////////////////////////////////////////////////
753 796
// EFFECTS
754 797
///////////////////////////////////////////////////////////////////////////////////////////////////
......
1256 1299
    float Y1= (float)(Math.sqrt(2+0.4f*SQ5)/4);
1257 1300
    float Y2= H/(2*COS_HALFD);
1258 1301
    float A = (float)(Math.acos(-SQ5/5)*180/Math.PI);  // dihedral angle of a dedecahedron in degrees
1259
    float sin18 = MINX_C0;
1260
    float cos18 = (float)(Math.sqrt(1-MINX_C0*MINX_C0));
1302
    float sin18 = SIN18;
1303
    float cos18 = (float)(Math.sqrt(1- SIN18 * SIN18));
1261 1304
    float LEN   = (float)Math.sqrt(H*H/(COS_HALFD*COS_HALFD) + 0.25f);
1262 1305

  
1263 1306
    Static3D axisZ = new Static3D(0.0f  , 0.0f , 1.0f);
......
1308 1351
    VertexEffect[] effect = new VertexEffect[9];
1309 1352

  
1310 1353
    float Y = COS54/(2*SIN54);
1311
    float A = (float)(Math.acos(-SQ5/5)*180/Math.PI);  // dihedral angle of a dedecahedron in degrees
1312 1354

  
1313 1355
    float sinA = (2*SIN54*SIN54-1)/COS54;
1314 1356
    float cosA = (float)Math.sqrt(1-sinA*sinA);
......
1325 1367
    Static3D move1= new Static3D(0.0f, -sinA*LEN, -cosA*LEN );
1326 1368
    Static3D move2= new Static3D(0.0f, Y , 0.0f );
1327 1369

  
1328
    Static1D angleD = new Static1D(A);
1329
    Static1D angleE = new Static1D(360-A);
1330
    Static1D angleF = new Static1D( (float)((180/Math.PI)*Math.asin(sinA) - 90) );
1370
    Static1D angleD = new Static1D(DIHEDRAL1);
1371
    Static1D angleE = new Static1D(360-DIHEDRAL1);
1372
    Static1D angleF = new Static1D(DIHEDRAL2);
1331 1373

  
1332 1374
    effect[0] = new VertexEffectScale ( new Static3D( 1, 1,-1) );
1333 1375
    effect[1] = new VertexEffectRotate(angleE, axisA, centerU);
......
1349 1391
    return effect;
1350 1392
    }
1351 1393

  
1394
///////////////////////////////////////////////////////////////////////////////////////////////////
1395

  
1396
  VertexEffect[] createVertexEffectsMegaminxEdge(float width, float height)
1397
    {
1398
    VertexEffect[] effect = new VertexEffect[11];
1399

  
1400
    float X = 0.5f*height;
1401
    float Y = height*(COS54/COS18) + width*0.5f;
1402
    float Z = 2*height*COS_HALFD;
1403

  
1404
    float alpha = 90-DIHEDRAL1/2;
1405
    float beta  = DIHEDRAL2;
1406

  
1407
    Static1D angle1 = new Static1D(alpha);
1408
    Static1D angle2 = new Static1D(180-alpha);
1409
    Static1D angle3 = new Static1D(beta);
1410

  
1411
    Static3D move1 = new Static3D(X,0,0);
1412
    Static3D move2 = new Static3D(X,0,-Z);
1413
    Static3D move3 = new Static3D(0,+Y,0);
1414
    Static3D move4 = new Static3D(0,-Y,0);
1415
    Static3D scale = new Static3D(+1,+1,-1);
1416

  
1417
    Static3D axisXplus = new Static3D(+1, 0, 0);
1418
    Static3D axisXminus= new Static3D(-1, 0, 0);
1419
    Static3D axisYplus = new Static3D( 0,+1, 0);
1420
    Static3D axisYminus= new Static3D( 0,-1, 0);
1421

  
1422
    Static3D center1= new Static3D( 0, 0, 0);
1423
    Static3D center2= new Static3D( 0, 0,-Z);
1424
    Static3D center3= new Static3D( 0,+width*0.5f, 0);
1425
    Static3D center4= new Static3D( 0,-width*0.5f, 0);
1426

  
1427
    effect[ 0] = new VertexEffectMove(move1);
1428
    effect[ 1] = new VertexEffectMove(move2);
1429
    effect[ 2] = new VertexEffectMove(move3);
1430
    effect[ 3] = new VertexEffectMove(move4);
1431
    effect[ 4] = new VertexEffectScale(scale);
1432
    effect[ 5] = new VertexEffectRotate(angle1, axisYplus , center1);
1433
    effect[ 6] = new VertexEffectRotate(angle2, axisYplus , center1);
1434
    effect[ 7] = new VertexEffectRotate(angle1, axisYminus, center2);
1435
    effect[ 8] = new VertexEffectRotate(angle2, axisYminus, center2);
1436
    effect[ 9] = new VertexEffectRotate(angle3, axisXplus , center3);
1437
    effect[10] = new VertexEffectRotate(angle3, axisXminus, center4);
1438

  
1439
    effect[ 0].setMeshAssociation( 3,-1);  // meshes 0,1
1440
    effect[ 1].setMeshAssociation(12,-1);  // meshes 2,3
1441
    effect[ 2].setMeshAssociation(16,-1);  // mesh 4
1442
    effect[ 3].setMeshAssociation(32,-1);  // mesh 5
1443
    effect[ 4].setMeshAssociation( 2,-1);  // mesh 1
1444
    effect[ 5].setMeshAssociation( 1,-1);  // mesh 0
1445
    effect[ 6].setMeshAssociation( 2,-1);  // mesh 1
1446
    effect[ 7].setMeshAssociation( 4,-1);  // mesh 2
1447
    effect[ 8].setMeshAssociation( 8,-1);  // mesh 3
1448
    effect[ 9].setMeshAssociation(16,-1);  // mesh 4
1449
    effect[10].setMeshAssociation(32,-1);  // mesh 5
1450

  
1451
    return effect;
1452
    }
1453

  
1352 1454
///////////////////////////////////////////////////////////////////////////////////////////////////
1353 1455
// OBJECTS
1354 1456
///////////////////////////////////////////////////////////////////////////////////////////////////
......
1765 1867
// numLayers==3 --> index=0; numLayers=5 --> index=1 ...
1766 1868
// type: 0,1,... 0 --> edge, 1 --> 1 layer deeper, etc
1767 1869

  
1768
  MeshBase createMegaminxEdgeMesh(int index, int type)
1870
  MeshBase createMegaminxEdgeMesh(float width, float height)
1769 1871
    {
1872
    MeshBase mesh = createFacesMegaminxEdge(width,height);
1873
    VertexEffect[] effects = createVertexEffectsMegaminxEdge(width,height);
1874
    for( VertexEffect effect : effects ) mesh.apply(effect);
1875

  
1876
    mesh.mergeEffComponents();
1770 1877

  
1771
    return createTetraMesh();
1878
    return mesh;
1772 1879
    }
1773 1880
  }

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