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distorted-objectlib / src / main / java / org / distorted / objectlib / objects / TwistyDiamond.java @ 8592461c

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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.objectlib.objects;
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import static org.distorted.objectlib.main.Movement.TYPE_NOT_SPLIT;
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import android.content.res.Resources;
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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.MeshSquare;
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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.objectlib.R;
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import org.distorted.objectlib.main.Movement;
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import org.distorted.objectlib.main.Movement8;
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import org.distorted.objectlib.main.ObjectControl;
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import org.distorted.objectlib.main.ObjectType;
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import org.distorted.objectlib.helpers.ObjectShape;
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import org.distorted.objectlib.helpers.ObjectSticker;
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import org.distorted.objectlib.helpers.ScrambleState;
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import org.distorted.objectlib.main.Twisty8;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyDiamond extends Twisty8
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{
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  // the four rotation axis of a Diamond. Must be normalized.
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  static final Static3D[] ROT_AXIS = new Static3D[]
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         {
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           new Static3D(+SQ6/3,+SQ3/3,     0),
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           new Static3D(-SQ6/3,+SQ3/3,     0),
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           new Static3D(     0,-SQ3/3,-SQ6/3),
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           new Static3D(     0,-SQ3/3,+SQ6/3)
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         };
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  private static final int[][][] ENABLED = new int[][][]
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      {
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          {{1,2,3}},{{1,2,3}},{{0,2,3}},{{0,2,3}},{{0,1,3}},{{0,1,3}},{{0,1,2}},{{0,1,2}}
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      };
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  private ScrambleState[] mStates;
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  private int[] mBasicAngle;
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  private int[] mFaceMap;
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  private float[][] mCuts;
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  private boolean[][] mLayerRotatable;
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  private Static4D[] mQuats;
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  private int[] mTetraToFaceMap;
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  private ObjectSticker[] mStickers;
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  private Movement mMovement;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public TwistyDiamond(int size, Static4D quat, Static3D move, DistortedTexture texture,
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                       MeshSquare mesh, DistortedEffects effects, Resources res, int scrWidth)
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    {
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    super(size, size, quat, move, texture, mesh, effects, res, scrWidth);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected ScrambleState[] getScrambleStates()
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    {
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    if( mStates==null )
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      {
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      int size = getNumLayers();
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      int[] tmp = new int[3*2*size];
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      for(int i=0; i<2*size; i++)
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        {
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        tmp[3*i  ] = (i<size) ?  i:i-size;
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        tmp[3*i+1] = (i%2==0) ? -1:1;
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        tmp[3*i+2] = 0;
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        }
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      mStates = new ScrambleState[]
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        {
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        new ScrambleState( new int[][] {tmp,tmp,tmp,tmp} )
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        };
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      }
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    return mStates;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected int getResource(int numLayers)
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    {
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    switch(numLayers)
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      {
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      case 2: return R.raw.diam2;
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      case 3: return R.raw.diam3;
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      case 4: return R.raw.diam4;
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      }
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    return 0;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private void initializeQuats()
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    {
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    mQuats = 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(  0.0f,  1.0f,   0.0f,  0.0f ),
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          new Static4D(+SQ2/2,  0.0f, -SQ2/2,  0.0f ),
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          new Static4D(-SQ2/2,  0.0f, -SQ2/2,  0.0f ),
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          new Static4D(+SQ2/2,  0.5f,   0.0f,  0.5f ),
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          new Static4D(-SQ2/2,  0.5f,   0.0f,  0.5f ),
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          new Static4D(  0.0f,  0.5f, +SQ2/2,  0.5f ),
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          new Static4D(  0.0f,  0.5f, -SQ2/2,  0.5f ),
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          new Static4D(+SQ2/2,  0.5f,   0.0f, -0.5f ),
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          new Static4D(-SQ2/2,  0.5f,   0.0f, -0.5f ),
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          new Static4D(  0.0f,  0.5f, +SQ2/2, -0.5f ),
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          new Static4D(  0.0f,  0.5f, -SQ2/2, -0.5f )
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         };
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected int[] getSolvedQuats(int cubit, int numLayers)
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    {
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    if( mQuats==null ) initializeQuats();
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    if( mFaceMap==null ) mFaceMap = new int[] {4,0,6,2,7,3,5,1};
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    int status = retCubitSolvedStatus(cubit,numLayers);
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    return status<0 ? null : buildSolvedQuats(Movement8.FACE_AXIS[mFaceMap[status]],mQuats);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected Static4D[] getQuats()
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    {
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    if( mQuats==null ) initializeQuats();
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    return mQuats;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected int getSolvedFunctionIndex()
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    {
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    return 0;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected int getNumStickerTypes(int numLayers)
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    {
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    return 1;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected float[][] getCuts(int numLayers)
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    {
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    if( numLayers<2 ) return null;
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    if( mCuts==null )
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      {
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      mCuts = new float[4][numLayers-1];
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      float cut = (SQ6/6)*(2-numLayers);
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      for(int i=0; i<numLayers-1; i++)
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        {
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        mCuts[0][i] = cut;
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        mCuts[1][i] = cut;
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        mCuts[2][i] = cut;
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        mCuts[3][i] = cut;
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        cut += SQ6/3;
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        }
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      }
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    return mCuts;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private void getLayerRotatable(int numLayers)
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    {
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    if( mLayerRotatable==null )
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      {
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      int numAxis = ROT_AXIS.length;
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      boolean[] tmp = new boolean[numLayers];
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      for(int i=0; i<numLayers; i++) tmp[i] = true;
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      mLayerRotatable = new boolean[numAxis][];
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      for(int i=0; i<numAxis; i++) mLayerRotatable[i] = tmp;
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  protected int getNumCubitFaces()
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    {
213
    return 8;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private int getNumOctahedrons(int layers)
219
    {
220
    return layers==1 ? 1 : 4*(layers-1)*(layers-1) + 2;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
224

    
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  private int getNumTetrahedrons(int layers)
226
    {
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    return 4*layers*(layers-1);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private int createOctaPositions(float[][] centers, int index, int layers, float height)
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    {
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    float x = (layers-1)*0.5f;
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    float z = (layers+1)*0.5f;
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    for(int i=0; i<layers; i++, index++)
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      {
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      z -= 1;
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      centers[index][0] = x;
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      centers[index][1] = height;
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      centers[index][2] = z;
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      }
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    for(int i=0; i<layers-1; i++, index++)
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      {
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      x -= 1;
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      centers[index][0] = x;
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      centers[index][1] = height;
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      centers[index][2] = z;
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      }
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    for(int i=0; i<layers-1; i++, index++)
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      {
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      z += 1;
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      centers[index][0] = x;
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      centers[index][1] = height;
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      centers[index][2] = z;
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      }
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    for(int i=0; i<layers-2; i++, index++)
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      {
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      x += 1;
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      centers[index][0] = x;
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      centers[index][1] = height;
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      centers[index][2] = z;
267
      }
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    return index;
270
    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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274
  private int createTetraPositions(float[][] centers, int index, int layers, float height)
275
    {
276
    float x = (layers-1)*0.5f;
277
    float z =  layers*0.5f;
278

    
279
    for(int i=0; i<layers-1; i++, index++)
280
      {
281
      z -= 1;
282
      centers[index][0] = x;
283
      centers[index][1] = height;
284
      centers[index][2] = z;
285
      }
286

    
287
    x += 0.5f;
288
    z -= 0.5f;
289

    
290
    for(int i=0; i<layers-1; i++, index++)
291
      {
292
      x -= 1;
293
      centers[index][0] = x;
294
      centers[index][1] = height;
295
      centers[index][2] = z;
296
      }
297

    
298
    x -= 0.5f;
299
    z -= 0.5f;
300

    
301
    for(int i=0; i<layers-1; i++, index++)
302
      {
303
      z += 1;
304
      centers[index][0] = x;
305
      centers[index][1] = height;
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      centers[index][2] = z;
307
      }
308

    
309
    x -= 0.5f;
310
    z += 0.5f;
311

    
312
    for(int i=0; i<layers-1; i++, index++)
313
      {
314
      x += 1;
315
      centers[index][0] = x;
316
      centers[index][1] = height;
317
      centers[index][2] = z;
318
      }
319

    
320
    return index;
321
    }
322

    
323
///////////////////////////////////////////////////////////////////////////////////////////////////
324

    
325
  protected float[][] getCubitPositions(int layers)
326
    {
327
    int numO = getNumOctahedrons(layers);
328
    int numT = getNumTetrahedrons(layers);
329
    int index = 0;
330
    float height = 0.0f;
331

    
332
    float[][] CENTERS = new float[numO+numT][3];
333

    
334
    index = createOctaPositions(CENTERS,index,layers,height);
335

    
336
    for(int i=layers-1; i>0; i--)
337
      {
338
      height += SQ2/2;
339
      index = createOctaPositions(CENTERS,index,i,+height);
340
      index = createOctaPositions(CENTERS,index,i,-height);
341
      }
342

    
343
    height = SQ2/4;
344

    
345
    for(int i=layers; i>1; i--)
346
      {
347
      index = createTetraPositions(CENTERS,index,i,+height);
348
      index = createTetraPositions(CENTERS,index,i,-height);
349
      height += SQ2/2;
350
      }
351

    
352
    return CENTERS;
353
    }
354

    
355
///////////////////////////////////////////////////////////////////////////////////////////////////
356

    
357
  private int retFaceTetraBelongsTo(int tetra, int numLayers)
358
    {
359
    if( mTetraToFaceMap==null ) mTetraToFaceMap = new int[] {1,2,3,0,5,6,7,4};
360

    
361
    for(int i=numLayers-1; i>0; i--)
362
      {
363
      if( tetra < 8*i ) return mTetraToFaceMap[tetra/i];
364
      tetra -= 8*i;
365
      }
366

    
367
    return -1;
368
    }
369

    
370
///////////////////////////////////////////////////////////////////////////////////////////////////
371

    
372
  protected ObjectShape getObjectShape(int cubit, int numLayers)
373
    {
374
    int variant = getCubitVariant(cubit,numLayers);
375
    int N = numLayers>3 ? 5:6;
376
    int E = numLayers>2 ? (numLayers>3 ? 0:1):2;
377

    
378
    if( variant==0 )
379
      {
380
      double[][] vertices = new double[][]
381
          {
382
             { 0.5,   0.0, 0.5},
383
             { 0.5,   0.0,-0.5},
384
             {-0.5,   0.0,-0.5},
385
             {-0.5,   0.0, 0.5},
386
             { 0.0, SQ2/2, 0.0},
387
             { 0.0,-SQ2/2, 0.0}
388
          };
389

    
390
      int[][] vert_indices = new int[][]
391
          {
392
             {3,0,4},
393
             {0,1,4},
394
             {1,2,4},
395
             {2,3,4},
396
             {5,0,3},
397
             {5,1,0},
398
             {5,2,1},
399
             {5,3,2}
400
          };
401

    
402
      float[][] bands     = new float[][] { {0.05f,35,0.5f,0.8f,N,E,E} };
403
      int[] bandIndices   = new int[] { 0,0,0,0,0,0,0,0 };
404
      float[][] corners   = new float[][] { {0.04f,0.20f} };
405
      int[] cornerIndices = new int[] { 0,0,0,0,0,0 };
406
      float[][] centers   = new float[][] { {0.0f, 0.0f, 0.0f} };
407
      int[] centerIndices = new int[] { 0,0,0,0,0,0 };
408
      return new ObjectShape(vertices,vert_indices,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
409
      }
410
    else
411
      {
412
      double[][] vertices = new double[][] { {-0.5, SQ2/4, 0.0}, { 0.5, SQ2/4, 0.0}, { 0.0,-SQ2/4, 0.5}, { 0.0,-SQ2/4,-0.5} };
413
      int[][] vert_indices = new int[][]  { {2,1,0}, {2,3,1}, {3,2,0}, {3,0,1} };
414
      float[][] bands     = new float[][] { {0.05f,35,0.5f,0.8f,N,E,E} };
415
      int[] bandIndices   = new int[] { 0,0,0,0 };
416
      float[][] corners   = new float[][] { {0.08f,0.15f} };
417
      int[] cornerIndices = new int[] { 0,0,0,0 };
418
      float[][] centers   = new float[][] { {0.0f, 0.0f, 0.0f} };
419
      int[] centerIndices = new int[] { 0,0,0,0 };
420
      return new ObjectShape(vertices,vert_indices,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
421
      }
422
    }
423

    
424
///////////////////////////////////////////////////////////////////////////////////////////////////
425

    
426
  protected Static4D getQuat(int cubit, int numLayers)
427
    {
428
    if( mQuats==null ) initializeQuats();
429
    int numO = getNumOctahedrons(numLayers);
430

    
431
    if( cubit<numO ) return mQuats[0];
432

    
433
    switch( retFaceTetraBelongsTo(cubit-numO, numLayers) )
434
      {
435
      case 0: return mQuats[0];                         // unit quat
436
      case 1: return new Static4D(0,-SQ2/2,0,SQ2/2);    //  90 along Y
437
      case 2: return mQuats[1];                         // 180 along Y
438
      case 3: return new Static4D(0,+SQ2/2,0,SQ2/2);    //  90 along
439
      case 4: return new Static4D(0,     0,1,    0);    // 180 along Z
440
      case 5: return new Static4D(SQ2/2, 0,SQ2/2,0);    //
441
      case 6: return new Static4D(     1,0,0,    0);    // 180 along X
442
      case 7: return new Static4D(-SQ2/2,0,SQ2/2,0);    //
443
      }
444

    
445
    return null;
446
    }
447

    
448
///////////////////////////////////////////////////////////////////////////////////////////////////
449

    
450
  protected int getNumCubitVariants(int numLayers)
451
    {
452
    return 2;
453
    }
454

    
455
///////////////////////////////////////////////////////////////////////////////////////////////////
456

    
457
  protected int getCubitVariant(int cubit, int numLayers)
458
    {
459
    return cubit<getNumOctahedrons(numLayers) ? 0 : 1;
460
    }
461

    
462
///////////////////////////////////////////////////////////////////////////////////////////////////
463

    
464
  protected int getFaceColor(int cubit, int cubitface, int size)
465
    {
466
    int numO = getNumOctahedrons(size);
467

    
468
    if( cubit<numO )
469
      {
470
      int axis = 0;
471
      int layer= 1;
472

    
473
      switch(cubitface)
474
        {
475
        case 0: axis = 2; layer =             1; break;
476
        case 1: axis = 0; layer = (1<<(size-1)); break;
477
        case 2: axis = 3; layer =             1; break;
478
        case 3: axis = 1; layer = (1<<(size-1)); break;
479
        case 4: axis = 3; layer = (1<<(size-1)); break;
480
        case 5: axis = 1; layer =             1; break;
481
        case 6: axis = 2; layer = (1<<(size-1)); break;
482
        case 7: axis = 0; layer =             1; break;
483
        }
484

    
485
      return CUBITS[cubit].getRotRow(axis) == layer ? cubitface : NUM_TEXTURES;
486
      }
487
    else
488
      {
489
      return cubitface>0 ? NUM_TEXTURES : retFaceTetraBelongsTo(cubit-numO, size);
490
      }
491
    }
492

    
493
///////////////////////////////////////////////////////////////////////////////////////////////////
494

    
495
  protected ObjectSticker retSticker(int face)
496
    {
497
    if( mStickers==null )
498
      {
499
      float[][] STICKERS = new float[][] { { -0.4330127f, -0.25f, 0.4330127f, -0.25f, 0.0f, 0.5f } };
500
      float radius = 0.06f;
501
      float stroke = 0.07f;
502
      float[] radii = new float[] {radius,radius,radius};
503

    
504
      if( ObjectControl.isInIconMode() )
505
        {
506
        switch(getNumLayers())
507
          {
508
          case 2: stroke*=1.4f; break;
509
          case 3: stroke*=2.0f; break;
510
          case 4: stroke*=2.1f; break;
511
          default:stroke*=2.2f; break;
512
          }
513
        }
514

    
515
      mStickers     = new ObjectSticker[STICKERS.length];
516
      mStickers[0]  = new ObjectSticker(STICKERS[0],null,radii,stroke);
517
      }
518

    
519
    return mStickers[face/NUM_FACE_COLORS];
520
    }
521

    
522
///////////////////////////////////////////////////////////////////////////////////////////////////
523
// PUBLIC API
524

    
525
  public Static3D[] getRotationAxis()
526
    {
527
    return ROT_AXIS;
528
    }
529

    
530
///////////////////////////////////////////////////////////////////////////////////////////////////
531

    
532
  public Movement getMovement()
533
    {
534
    if( mMovement==null )
535
      {
536
      int numLayers = getNumLayers();
537
      if( mCuts==null ) getCuts(numLayers);
538
      getLayerRotatable(numLayers);
539
      mMovement = new Movement8(ROT_AXIS,mCuts,mLayerRotatable,numLayers,TYPE_NOT_SPLIT,ENABLED);
540
      }
541
    return mMovement;
542
    }
543

    
544
///////////////////////////////////////////////////////////////////////////////////////////////////
545

    
546
  public int[] getBasicAngle()
547
    {
548
    if( mBasicAngle ==null ) mBasicAngle = new int[] { 3,3,3,3 };
549
    return mBasicAngle;
550
    }
551

    
552
///////////////////////////////////////////////////////////////////////////////////////////////////
553

    
554
  public ObjectType intGetObjectType(int numLayers)
555
    {
556
    switch(numLayers)
557
      {
558
      case 2: return ObjectType.DIAM_2;
559
      case 3: return ObjectType.DIAM_3;
560
      case 4: return ObjectType.DIAM_4;
561
      }
562

    
563
    return ObjectType.DIAM_2;
564
    }
565

    
566
///////////////////////////////////////////////////////////////////////////////////////////////////
567

    
568
  public int getObjectName(int numLayers)
569
    {
570
    switch(numLayers)
571
      {
572
      case 2: return R.string.diam2;
573
      case 3: return R.string.diam3;
574
      case 4: return R.string.diam4;
575
      }
576

    
577
    return 0;
578
    }
579

    
580
///////////////////////////////////////////////////////////////////////////////////////////////////
581

    
582
  public int getInventor(int numLayers)
583
    {
584
    switch(numLayers)
585
      {
586
      case 2: return R.string.diam2_inventor;
587
      case 3: return R.string.diam3_inventor;
588
      case 4: return R.string.diam4_inventor;
589
      }
590

    
591
    return 0;
592
    }
593

    
594
///////////////////////////////////////////////////////////////////////////////////////////////////
595

    
596
  public int getComplexity(int numLayers)
597
    {
598
    switch(numLayers)
599
      {
600
      case 2: return 4;
601
      case 3: return 6;
602
      case 4: return 8;
603
      }
604

    
605
    return 0;
606
    }
607
}
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