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magiccube / src / main / java / org / distorted / objects / RubikDino.java @ 940100d1

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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2020 Leszek Koltunski                                                               //
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//                                                                                               //
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// This file is part of Magic Cube.                                                              //
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//                                                                                               //
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// Magic Cube is free software: you can redistribute it and/or modify                            //
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// it under the terms of the GNU General Public License as published by                          //
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// the Free Software Foundation, either version 2 of the License, or                             //
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// (at your option) any later version.                                                           //
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//                                                                                               //
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// Magic Cube is distributed in the hope that it will be useful,                                 //
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// but WITHOUT ANY WARRANTY; without even the implied warranty of                                //
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the                                 //
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// GNU General Public License for more details.                                                  //
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//                                                                                               //
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// You should have received a copy of the GNU General Public License                             //
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// along with Magic Cube.  If not, see <http://www.gnu.org/licenses/>.                           //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objects;
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import android.content.res.Resources;
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import android.graphics.Canvas;
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import android.graphics.Paint;
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import org.distorted.library.effect.MatrixEffectMove;
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import org.distorted.library.effect.MatrixEffectQuaternion;
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import org.distorted.library.effect.MatrixEffectRotate;
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import org.distorted.library.effect.MatrixEffectScale;
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import org.distorted.library.effect.VertexEffectDeform;
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import org.distorted.library.effect.VertexEffectMove;
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import org.distorted.library.effect.VertexEffectRotate;
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import org.distorted.library.effect.VertexEffectScale;
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import org.distorted.library.main.DistortedEffects;
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import org.distorted.library.main.DistortedTexture;
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import org.distorted.library.mesh.MeshBase;
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import org.distorted.library.mesh.MeshJoined;
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import org.distorted.library.mesh.MeshPolygon;
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import org.distorted.library.mesh.MeshSquare;
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import org.distorted.library.type.Static1D;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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import org.distorted.main.RubikSurfaceView;
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import java.util.Random;
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import static org.distorted.effects.scramble.ScrambleEffect.START_AXIS;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class RubikDino extends RubikObject
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{
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  private static final float SQ2 = (float)Math.sqrt(2);
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  private static final float SQ3 = (float)Math.sqrt(3);
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  private static final float ANGLE_FACES = (float)((180/Math.PI)*(2*Math.asin(SQ3/3))); // angle between two faces of a tetrahedron
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  // the four rotation axis of a RubikDino. Must be normalized.
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  static final Static3D[] ROT_AXIS = new Static3D[]
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         {
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           new Static3D(+SQ3/3,+SQ3/3,+SQ3/3),
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           new Static3D(+SQ3/3,+SQ3/3,-SQ3/3),
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           new Static3D(+SQ3/3,-SQ3/3,+SQ3/3),
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           new Static3D(+SQ3/3,-SQ3/3,-SQ3/3)
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         };
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  // the six axis that determine the faces
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  static final Static3D[] FACE_AXIS = new Static3D[]
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         {
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           new Static3D(1,0,0), new Static3D(-1,0,0),
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           new Static3D(0,1,0), new Static3D(0,-1,0),
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           new Static3D(0,0,1), new Static3D(0,0,-1)
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         };
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  private static final int[] FACE_COLORS = new int[]
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         {
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           0xffffff00, 0xffffffff,   // FACE_AXIS[0] (right-YELLOW) FACE_AXIS[1] (left  -WHITE)
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           0xff0000ff, 0xff00ff00,   // FACE_AXIS[2] (top  -BLUE  ) FACE_AXIS[3] (bottom-GREEN)
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           0xffff0000, 0xffb5651d    // FACE_AXIS[4] (front-RED   ) FACE_AXIS[5] (back  -BROWN)
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         };
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  // All legal rotation quats of a RubikDino
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  private static final Static4D[] QUATS = new Static4D[]
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         {
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           new Static4D(  0.0f,  0.0f,  0.0f,  1.0f ),
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           new Static4D(  0.5f,  0.5f,  0.5f, -0.5f ),
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           new Static4D(  0.0f,  0.0f,  1.0f,  0.0f ),
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           new Static4D(  0.5f, -0.5f, -0.5f, -0.5f ),
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           new Static4D(  0.5f,  0.5f,  0.5f,  0.5f ),
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           new Static4D(  0.5f,  0.5f, -0.5f, -0.5f ),
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           new Static4D(  0.5f, -0.5f,  0.5f, -0.5f ),
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           new Static4D(  0.5f, -0.5f, -0.5f,  0.5f ),
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           new Static4D(  0.0f,  1.0f,  0.0f,  0.0f ),
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           new Static4D(  0.5f, -0.5f,  0.5f,  0.5f ),
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           new Static4D(  1.0f,  0.0f,  0.0f,  0.0f ),
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           new Static4D(  0.5f,  0.5f, -0.5f,  0.5f )
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         };
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  // centers of the 12 edges. Must be in the same order like QUATs above.
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  private static final Static3D[] CENTERS = new Static3D[]
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         {
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           new Static3D( 0.0f, 1.5f, 1.5f ),
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           new Static3D( 1.5f, 0.0f, 1.5f ),
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           new Static3D( 0.0f,-1.5f, 1.5f ),
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           new Static3D(-1.5f, 0.0f, 1.5f ),
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           new Static3D( 1.5f, 1.5f, 0.0f ),
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           new Static3D( 1.5f,-1.5f, 0.0f ),
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           new Static3D(-1.5f,-1.5f, 0.0f ),
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           new Static3D(-1.5f, 1.5f, 0.0f ),
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           new Static3D( 0.0f, 1.5f,-1.5f ),
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           new Static3D( 1.5f, 0.0f,-1.5f ),
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           new Static3D( 0.0f,-1.5f,-1.5f ),
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           new Static3D(-1.5f, 0.0f,-1.5f )
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         };
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  private static final int[] mFaceMap = {2,4, 4,0, 3,4, 4,1,
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                                         0,2, 0,3, 1,3, 1,2,
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                                         2,5, 5,0, 3,5, 5,1 };
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  private static MeshBase mMesh;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  RubikDino(int size, Static4D quat, DistortedTexture texture,
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            MeshSquare mesh, DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
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    {
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    super(size, 60, quat, texture, mesh, effects, moves, RubikObjectList.DINO, res, scrWidth);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private MeshBase createTetrahedronMesh()
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    {
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    final int MESHES=4;
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    int association = 1;
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    float D = 0.005f;
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    float E = 0.5f - D*SQ2;
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    float F = 0.5f - D*SQ2*SQ3;
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    float[] bands = { 1.0f    ,-D,
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                      1.0f-D/2,-D*0.55f,
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                      1.0f-D  ,-D*0.25f,
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                      1.0f-2*D,+D*0.25f,
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                      0.50f, 0.040f,
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                      0.0f, 0.045f };
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    float[] vertices = { -F,-E, +F,-E, 0.0f,E-D*SQ2};
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    MeshBase[] meshes = new MeshPolygon[MESHES];
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    meshes[0] = new MeshPolygon(vertices, bands, 2, 3);
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    meshes[0].setEffectAssociation(0,association,0);
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    for(int i=1; i<MESHES; i++)
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      {
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      association <<= 1;
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      meshes[i] = meshes[0].copy(true);
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      meshes[i].setEffectAssociation(0,association,0);
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      }
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    MeshBase result = new MeshJoined(meshes);
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    Static3D a0 = new Static3D(         0,        1,       0 );
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    Static3D a1 = new Static3D(         0,  -1.0f/3, 2*SQ2/3 );
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    Static3D a2 = new Static3D(-SQ2*SQ3/3,  -1.0f/3,  -SQ2/3 );
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    Static3D a3 = new Static3D( SQ2*SQ3/3,  -1.0f/3,  -SQ2/3 );
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    float tetraHeight = SQ2*SQ3/3;
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    float d1 = 0.75f*tetraHeight;
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    float d2 =-0.10f*tetraHeight;
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    float d3 =-0.05f*tetraHeight;
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    float d4 = 0.15f*tetraHeight;
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    Static3D dCen0 = new Static3D( d1*a0.get0(), d1*a0.get1(), d1*a0.get2() );
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    Static3D dCen1 = new Static3D( d1*a1.get0(), d1*a1.get1(), d1*a1.get2() );
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    Static3D dCen2 = new Static3D( d1*a2.get0(), d1*a2.get1(), d1*a2.get2() );
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    Static3D dCen3 = new Static3D( d1*a3.get0(), d1*a3.get1(), d1*a3.get2() );
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    Static3D dVec0 = new Static3D( d3*a0.get0(), d3*a0.get1(), d3*a0.get2() );
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    Static3D dVec1 = new Static3D( d3*a1.get0(), d3*a1.get1(), d3*a1.get2() );
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    Static3D dVec2 = new Static3D( d2*a2.get0(), d2*a2.get1(), d2*a2.get2() );
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    Static3D dVec3 = new Static3D( d2*a3.get0(), d2*a3.get1(), d2*a3.get2() );
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    Static4D dReg  = new Static4D(0,0,0,d4);
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    Static1D dRad  = new Static1D(1);
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    Static1D angle  = new Static1D(ANGLE_FACES);
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    Static3D axis1  = new Static3D(  -1, 0,      0);
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    Static3D axis2  = new Static3D(0.5f, 0, -SQ3/2);
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    Static3D axis3  = new Static3D(0.5f, 0, +SQ3/2);
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    Static3D center1= new Static3D(0,-SQ3*SQ2/12,-SQ3/6);
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    Static3D center2= new Static3D(0,-SQ3*SQ2/12,+SQ3/3);
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    VertexEffectScale   effect1 = new VertexEffectScale ( new Static3D(1,SQ3/2,1) );
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    VertexEffectRotate  effect2 = new VertexEffectRotate( new Static1D(90), new Static3D(1,0,0), new Static3D(0,0,0) );
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    VertexEffectMove    effect3 = new VertexEffectMove  ( new Static3D(0,-SQ3*SQ2/12,SQ3/12) );
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    VertexEffectRotate  effect4 = new VertexEffectRotate( new Static1D(180), new Static3D(0,0,1), center1 );
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    VertexEffectRotate  effect5 = new VertexEffectRotate( angle, axis1, center1 );
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    VertexEffectRotate  effect6 = new VertexEffectRotate( angle, axis2, center2 );
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    VertexEffectRotate  effect7 = new VertexEffectRotate( angle, axis3, center2 );
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    VertexEffectDeform  effect8 = new VertexEffectDeform(dVec0, dRad, dCen0, dReg);
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    VertexEffectDeform  effect9 = new VertexEffectDeform(dVec1, dRad, dCen1, dReg);
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    VertexEffectDeform  effect10= new VertexEffectDeform(dVec2, dRad, dCen2, dReg);
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    VertexEffectDeform  effect11= new VertexEffectDeform(dVec3, dRad, dCen3, dReg);
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    effect4.setMeshAssociation(14,-1);  // apply to mesh[1], [2] and [3]
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    effect5.setMeshAssociation( 2,-1);  // apply only to mesh[1]
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    effect6.setMeshAssociation( 4,-1);  // apply only to mesh[2]
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    effect7.setMeshAssociation( 8,-1);  // apply only to mesh[3]
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    result.apply(effect1);
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    result.apply(effect2);
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    result.apply(effect3);
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    result.apply(effect4);
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    result.apply(effect5);
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    result.apply(effect6);
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    result.apply(effect7);
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    result.apply(effect8);
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    result.apply(effect9);
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    result.apply(effect10);
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    result.apply(effect11);
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    result.mergeEffComponents();
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    return result;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private void createBasicMesh()
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    {
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    mMesh = createTetrahedronMesh();
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    Static3D axis = new Static3D(1,0,0);
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    Static3D cent = new Static3D(0,0,0);
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    MatrixEffectMove   moveEffect = new MatrixEffectMove  ( new Static3D(0.0f,SQ3*SQ2/12,SQ3/6) );
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    MatrixEffectRotate rot1Effect = new MatrixEffectRotate( new Static1D(180+ANGLE_FACES/2), axis, cent);
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    MatrixEffectScale  scalEffect = new MatrixEffectScale ( new Static3D(3.0f, 3*SQ2/2, 1.5f) );
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    MatrixEffectRotate rot2Effect = new MatrixEffectRotate( new Static1D(-45), axis, cent);
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    mMesh.apply(moveEffect, 0xffffffff, 0);
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    mMesh.apply(rot1Effect, 0xffffffff, 0);
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    mMesh.apply(scalEffect, 0xffffffff, 0);
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    mMesh.apply(rot2Effect, 0xffffffff, 0);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  float getScreenRatio()
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    {
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    return 0.5f;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  Static4D[] getQuats()
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    {
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    return QUATS;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  int getNumFaces()
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    {
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    return FACE_COLORS.length;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  int getNumStickerTypes()
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    {
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    return 1;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  int getNumCubitFaces()
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    {
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    return 4;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  Static3D[] getCubitPositions(int size)
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    {
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    return CENTERS;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  MeshBase createCubitMesh(int cubit)
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    {
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    if( mMesh==null ) createBasicMesh();
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    MeshBase mesh = mMesh.copy(true);
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    MatrixEffectQuaternion quat = new MatrixEffectQuaternion( QUATS[cubit], new Static3D(0,0,0) );
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    mesh.apply(quat,0xffffffff,0);
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    return mesh;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  int getFaceColor(int cubit, int cubitface, int size)
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    {
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    switch(cubitface)
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      {
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      case 0 : return mFaceMap[2*cubit];
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      case 1 : return mFaceMap[2*cubit+1];
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      default: return NUM_FACES;
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top, int side)
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    {
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    float STROKE = 0.046f*side;
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    float OFF = STROKE/2 -1;
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    float OFF2 = 0.5f*side + OFF;
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    float HEIGHT = side - OFF;
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    float RADIUS = side/12.0f;
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    float ARC1_H = 0.2f*side;
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    float ARC1_W = side*0.5f;
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    float ARC2_W = 0.153f*side;
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    float ARC2_H = 0.905f*side;
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    float ARC3_W = side-ARC2_W;
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    paint.setAntiAlias(true);
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    paint.setStrokeWidth(STROKE);
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    paint.setColor(FACE_COLORS[face]);
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    paint.setStyle(Paint.Style.FILL);
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    canvas.drawRect(left,top,left+side,top+side,paint);
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    paint.setColor(INTERIOR_COLOR);
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    paint.setStyle(Paint.Style.STROKE);
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    canvas.drawLine(           left, HEIGHT,  side       +left, HEIGHT, paint);
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    canvas.drawLine(      OFF +left, side  ,       OFF2  +left,      0, paint);
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    canvas.drawLine((side-OFF)+left, side  , (side-OFF2) +left,      0, paint);
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    canvas.drawArc( ARC1_W-RADIUS+left, ARC1_H-RADIUS, ARC1_W+RADIUS+left, ARC1_H+RADIUS, 225, 90, false, paint);
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    canvas.drawArc( ARC2_W-RADIUS+left, ARC2_H-RADIUS, ARC2_W+RADIUS+left, ARC2_H+RADIUS, 105, 90, false, paint);
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    canvas.drawArc( ARC3_W-RADIUS+left, ARC2_H-RADIUS, ARC3_W+RADIUS+left, ARC2_H+RADIUS, 345, 90, false, paint);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  float returnMultiplier()
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    {
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    return 2.0f;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  float[] getRowChances()
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    {
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    float[] chances = new float[3];
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    chances[0] = 0.5f;
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    chances[1] = 0.5f;
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    chances[2] = 1.0f;
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    return chances;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// PUBLIC API
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  public Static3D[] getRotationAxis()
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    {
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    return ROT_AXIS;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public int getBasicAngle()
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    {
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    return 3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public int computeRowFromOffset(float offset)
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    {
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    return offset<0.5f ? 0:2;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public float returnRotationFactor(float offset)
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    {
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    return 1.0f;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public int randomizeNewRotAxis(Random rnd, int oldRotAxis)
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    {
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    int numAxis = ROTATION_AXIS.length;
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    if( oldRotAxis == START_AXIS )
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      {
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      return rnd.nextInt(numAxis);
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      }
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    else
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      {
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      int newVector = rnd.nextInt(numAxis-1);
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      return (newVector>=oldRotAxis ? newVector+1 : newVector);
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public int randomizeNewRow(Random rnd, int oldRotAxis, int oldRow, int newRotAxis)
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    {
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    float rowFloat = rnd.nextFloat();
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    switch(oldRotAxis)
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      {
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      case 0 : switch(newRotAxis)
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                 {
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                 case 1:
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                 case 2: return oldRow;
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                 case 3: return 2-oldRow;
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                 default: android.util.Log.e("dino", "error: oldRotAxis="+oldRotAxis+" newRotAxis:"+newRotAxis);
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                 }
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      case 1 : switch(newRotAxis)
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                 {
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                 case 0:
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                 case 3: return oldRow;
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                 case 2: return 2-oldRow;
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                 default: android.util.Log.e("dino", "error: oldRotAxis="+oldRotAxis+" newRotAxis:"+newRotAxis);
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                 }
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      case 2 : switch(newRotAxis)
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                 {
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                 case 0:
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                 case 3: return oldRow;
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                 case 1: return 2-oldRow;
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                 default: android.util.Log.e("dino", "error: oldRotAxis="+oldRotAxis+" newRotAxis:"+newRotAxis);
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                 }
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      case 3 : switch(newRotAxis)
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                 {
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                 case 1:
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                 case 2: return oldRow;
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                 case 0: return 2-oldRow;
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                 default: android.util.Log.e("dino", "error: oldRotAxis="+oldRotAxis+" newRotAxis:"+newRotAxis);
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                 }
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      default: return rowFloat<=0.5f ? 0:2;
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// remember about the double cover or unit quaternions!
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  private int mulQuat(int q1, int q2)
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    {
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    Static4D result = RubikSurfaceView.quatMultiply(QUATS[q1],QUATS[q2]);
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    float rX = result.get0();
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    float rY = result.get1();
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    float rZ = result.get2();
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    float rW = result.get3();
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    final float MAX_ERROR = 0.1f;
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    float dX,dY,dZ,dW;
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    for(int i=0; i<QUATS.length; i++)
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      {
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      dX = QUATS[i].get0() - rX;
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      dY = QUATS[i].get1() - rY;
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      dZ = QUATS[i].get2() - rZ;
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      dW = QUATS[i].get3() - rW;
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      if( dX<MAX_ERROR && dX>-MAX_ERROR &&
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          dY<MAX_ERROR && dY>-MAX_ERROR &&
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          dZ<MAX_ERROR && dZ>-MAX_ERROR &&
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          dW<MAX_ERROR && dW>-MAX_ERROR  ) return i;
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      dX = QUATS[i].get0() + rX;
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      dY = QUATS[i].get1() + rY;
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      dZ = QUATS[i].get2() + rZ;
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      dW = QUATS[i].get3() + rW;
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      if( dX<MAX_ERROR && dX>-MAX_ERROR &&
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          dY<MAX_ERROR && dY>-MAX_ERROR &&
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          dZ<MAX_ERROR && dZ>-MAX_ERROR &&
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          dW<MAX_ERROR && dW>-MAX_ERROR  ) return i;
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      }
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    return -1;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Dino is solved if and only if:
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//
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// All four 'X' cubits (i.e. those whose longest edge goes along the X axis) are rotated
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// by the same quaternion qX, similarly all four 'Y' cubits by the same qY and all four 'Z'
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// by the same qZ, and then either:
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//
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// a) qX = qY = qZ
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// b) qY = qX*Q2 and qZ = qX*Q8  (i.e. swap of WHITE and YELLOW faces)
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// c) qX = qY*Q2 and qZ = qY*Q10 (i.e. swap of BLUE and GREEN faces)
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// d) qX = qZ*Q8 and qY = qZ*Q10 (i.e. swap of RED and BROWN faces)
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//
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// BUT: cases b), c) and d) are really the same - it's all just a mirror image of the original.
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//
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// X cubits: 0, 2, 8, 10
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// Y cubits: 1, 3, 9, 11
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// Z cubits: 4, 5, 6, 7
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  public boolean isSolved()
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    {
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    int qX = CUBITS[0].mQuatIndex;
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    int qY = CUBITS[1].mQuatIndex;
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    int qZ = CUBITS[4].mQuatIndex;
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    if( CUBITS[2].mQuatIndex != qX || CUBITS[8].mQuatIndex != qX || CUBITS[10].mQuatIndex != qX ||
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        CUBITS[3].mQuatIndex != qY || CUBITS[9].mQuatIndex != qY || CUBITS[11].mQuatIndex != qY ||
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        CUBITS[5].mQuatIndex != qZ || CUBITS[6].mQuatIndex != qZ || CUBITS[ 7].mQuatIndex != qZ  )
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      {
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      return false;
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      }
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    return ( qX==qY && qX==qZ ) || ( qY==mulQuat(qX,2) && qZ==mulQuat(qX,8) );
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// TODO  (only needed for solvers - there are no Dino solvers ATM)
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  public String retObjectString()
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    {
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    return "";
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    }
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}