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magiccube / src / main / java / org / distorted / objects / TwistyRex.java @ 925ed78f

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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.helpers.FactoryCubit;
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import org.distorted.helpers.FactorySticker;
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import org.distorted.library.effect.MatrixEffectQuaternion;
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import org.distorted.library.effect.VertexEffect;
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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.R;
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import java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyRex extends TwistyObject
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{
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  private static final int FACES_PER_CUBIT =6;
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  public static final float REX_D = 0.2f;
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  // the four rotation axis of a RubikRex. 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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  private static final int[] BASIC_ANGLE = new int[] { 3,3,3,3 };
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  private static final int[] FACE_COLORS = new int[]
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         {
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           COLOR_YELLOW, COLOR_WHITE,
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           COLOR_BLUE  , COLOR_GREEN,
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           COLOR_RED   , COLOR_ORANGE
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         };
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  // All legal rotation quats of a RubikRex
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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(  1.0f,  0.0f,  0.0f,  0.0f ),
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           new Static4D(  0.0f,  1.0f,  0.0f,  0.0f ),
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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(  0.5f, -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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         };
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  private static final int[][] mFaceMap =
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         {
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           {  0, 18,18,18,18,18 },
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           {  0, 18,18,18,18,18 },
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           {  0, 18,18,18,18,18 },
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           {  0, 18,18,18,18,18 },
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           {  1, 18,18,18,18,18 },
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           {  1, 18,18,18,18,18 },
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           {  1, 18,18,18,18,18 },
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           {  1, 18,18,18,18,18 },
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           {  2, 18,18,18,18,18 },
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           {  2, 18,18,18,18,18 },
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           {  2, 18,18,18,18,18 },
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           {  2, 18,18,18,18,18 },
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           {  3, 18,18,18,18,18 },
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           {  3, 18,18,18,18,18 },
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           {  3, 18,18,18,18,18 },
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           {  3, 18,18,18,18,18 },
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           {  4, 18,18,18,18,18 },
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           {  4, 18,18,18,18,18 },
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           {  4, 18,18,18,18,18 },
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           {  4, 18,18,18,18,18 },
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           {  5, 18,18,18,18,18 },
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           {  5, 18,18,18,18,18 },
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           {  5, 18,18,18,18,18 },
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           {  5, 18,18,18,18,18 },
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           {  6, 18,18,18,18,18 },
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           {  7, 18,18,18,18,18 },
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           {  8, 18,18,18,18,18 },
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           {  9, 18,18,18,18,18 },
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           { 10, 18,18,18,18,18 },
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           { 11, 18,18,18,18,18 },
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           { 16,14, 18,18,18,18 },
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           { 16,12, 18,18,18,18 },
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           { 16,15, 18,18,18,18 },
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           { 16,13, 18,18,18,18 },
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           { 12,14, 18,18,18,18 },
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           { 15,12, 18,18,18,18 },
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           { 15,13, 18,18,18,18 },
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           { 13,14, 18,18,18,18 },
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           { 14,17, 18,18,18,18 },
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           { 12,17, 18,18,18,18 },
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           { 17,15, 18,18,18,18 },
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           { 13,17, 18,18,18,18 },
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         };
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  private static MeshBase mCornerMesh, mFaceMesh, mEdgeMesh;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  TwistyRex(int size, Static4D quat, DistortedTexture texture, MeshSquare mesh,
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            DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
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    {
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    super(size, size, quat, texture, mesh, effects, moves, ObjectList.REX, res, scrWidth);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  float getScreenRatio()
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    {
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    return 1.5f;
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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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  boolean shouldResetTextureMaps()
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    {
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    return false;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  int getNumStickerTypes(int numLayers)
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    {
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    return 3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  float[] getCuts(int numLayers)
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    {
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    float C = SQ3*0.15f;   // bit less than 1/6 of the length of the main diagonal
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    return new float[] {-C,+C};
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  int getNumCubitFaces()
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    {
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    return FACES_PER_CUBIT;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  float[][] getCubitPositions(int numLayers)
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    {
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    final float DIST = 0.50f;
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    final float DIST2= (1+2*REX_D)/6;
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    final float[][] CENTERS = new float[42][];
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    CENTERS[ 0] = new float[] { +DIST , +DIST2, +DIST2};
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    CENTERS[ 1] = new float[] { +DIST , +DIST2, -DIST2};
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    CENTERS[ 2] = new float[] { +DIST , -DIST2, -DIST2};
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    CENTERS[ 3] = new float[] { +DIST , -DIST2, +DIST2};
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    CENTERS[ 4] = new float[] { -DIST , +DIST2, +DIST2};
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    CENTERS[ 5] = new float[] { -DIST , +DIST2, -DIST2};
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    CENTERS[ 6] = new float[] { -DIST , -DIST2, -DIST2};
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    CENTERS[ 7] = new float[] { -DIST , -DIST2, +DIST2};
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    CENTERS[ 8] = new float[] { +DIST2, +DIST , +DIST2};
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    CENTERS[ 9] = new float[] { +DIST2, +DIST , -DIST2};
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    CENTERS[10] = new float[] { -DIST2, +DIST , -DIST2};
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    CENTERS[11] = new float[] { -DIST2, +DIST , +DIST2};
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    CENTERS[12] = new float[] { +DIST2, -DIST , +DIST2};
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    CENTERS[13] = new float[] { +DIST2, -DIST , -DIST2};
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    CENTERS[14] = new float[] { -DIST2, -DIST , -DIST2};
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    CENTERS[15] = new float[] { -DIST2, -DIST , +DIST2};
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    CENTERS[16] = new float[] { +DIST2, +DIST2, +DIST };
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    CENTERS[17] = new float[] { +DIST2, -DIST2, +DIST };
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    CENTERS[18] = new float[] { -DIST2, -DIST2, +DIST };
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    CENTERS[19] = new float[] { -DIST2, +DIST2, +DIST };
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    CENTERS[20] = new float[] { +DIST2, +DIST2, -DIST };
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    CENTERS[21] = new float[] { +DIST2, -DIST2, -DIST };
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    CENTERS[22] = new float[] { -DIST2, -DIST2, -DIST };
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    CENTERS[23] = new float[] { -DIST2, +DIST2, -DIST };
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    CENTERS[24] = new float[] { +DIST , +0.00f, +0.00f};
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    CENTERS[25] = new float[] { -DIST , +0.00f, +0.00f};
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    CENTERS[26] = new float[] { +0.00f, +DIST , +0.00f};
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    CENTERS[27] = new float[] { +0.00f, -DIST , +0.00f};
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    CENTERS[28] = new float[] { +0.00f, +0.00f, +DIST };
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    CENTERS[29] = new float[] { +0.00f, +0.00f, -DIST };
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    CENTERS[30] = new float[] { +0.00f, +DIST , +DIST };
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    CENTERS[31] = new float[] { +DIST , +0.00f, +DIST };
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    CENTERS[32] = new float[] { +0.00f, -DIST , +DIST };
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    CENTERS[33] = new float[] { -DIST , +0.00f, +DIST };
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    CENTERS[34] = new float[] { +DIST , +DIST , +0.00f};
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    CENTERS[35] = new float[] { +DIST , -DIST , +0.00f};
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    CENTERS[36] = new float[] { -DIST , -DIST , +0.00f};
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    CENTERS[37] = new float[] { -DIST , +DIST , +0.00f};
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    CENTERS[38] = new float[] { +0.00f, +DIST , -DIST };
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    CENTERS[39] = new float[] { +DIST , +0.00f, -DIST };
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    CENTERS[40] = new float[] { +0.00f, -DIST , -DIST };
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    CENTERS[41] = new float[] { -DIST , +0.00f, -DIST };
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    return CENTERS;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private Static4D getQuat(int cubit)
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    {
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    switch(cubit)
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      {
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      case  0: return new Static4D(+SQ2/2,     0,+SQ2/2,     0);
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      case  1: return QUATS[5];
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      case  2: return new Static4D(     0,-SQ2/2,     0, SQ2/2);
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      case  3: return QUATS[8];
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      case  4: return QUATS[6];
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      case  5: return new Static4D(-SQ2/2,     0,+SQ2/2,     0);
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      case  6: return QUATS[11];
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      case  7: return new Static4D(     0,+SQ2/2,     0, SQ2/2);
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      case  8: return new Static4D(+SQ2/2,     0,     0, SQ2/2);
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      case  9: return QUATS[10];
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      case 10: return new Static4D(     0,+SQ2/2,+SQ2/2,     0);
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      case 11: return QUATS[4];
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      case 12: return QUATS[9];
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      case 13: return new Static4D(-SQ2/2,     0,     0, SQ2/2);
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      case 14: return QUATS[7];
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      case 15: return new Static4D(     0,-SQ2/2,+SQ2/2,     0);
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      case 16: return new Static4D(     0,     0,-SQ2/2, SQ2/2);
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      case 17: return QUATS[0];
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      case 18: return new Static4D(     0,     0,+SQ2/2, SQ2/2);
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      case 19: return QUATS[3];
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      case 20: return QUATS[1];
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      case 21: return new Static4D(+SQ2/2,-SQ2/2,     0,     0);
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      case 22: return QUATS[2];
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      case 23: return new Static4D(+SQ2/2,+SQ2/2,     0,     0);
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      case 24: return new Static4D(     0,-SQ2/2,     0, SQ2/2);
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      case 25: return new Static4D(     0,+SQ2/2,     0, SQ2/2);
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      case 26: return new Static4D(+SQ2/2,     0,     0, SQ2/2);
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      case 27: return new Static4D(-SQ2/2,     0,     0, SQ2/2);
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      case 28: return QUATS[0];
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      case 29: return QUATS[1];
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      case 30: return QUATS[0];
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      case 31: return new Static4D(     0,     0,+SQ2/2, SQ2/2);
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      case 32: return QUATS[3];
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      case 33: return new Static4D(     0,     0,-SQ2/2, SQ2/2);
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      case 34: return new Static4D(     0,-SQ2/2,     0, SQ2/2);
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      case 35: return QUATS[7];
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      case 36: return QUATS[9];
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      case 37: return new Static4D(     0,+SQ2/2,     0, SQ2/2);
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      case 38: return new Static4D(+SQ2/2,     0,     0, SQ2/2);
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      case 39: return QUATS[8];
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      case 40: return QUATS[1];
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      case 41: return QUATS[6];
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      }
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    return QUATS[0];
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  MeshBase createFacesRexCorner()
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    {
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    MeshBase[] meshes = new MeshBase[2];
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    float F = REX_D*SQ2;
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    float G = (1-REX_D)*SQ2/2;
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    float H = 0.1f;
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    float J = +2*G/3 - H*G;
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    float[] vertices = { -F/2, -G/3, +F/2, -G/3, H*F/2, J, -H*F/2, J};
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    FactoryCubit factory = FactoryCubit.getInstance();
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    float[] bands0 = factory.computeBands(+0.016f,10,G/3,0.5f,5);
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    float[] bands1 = factory.computeBands(-0.230f,45,G/3,0.0f,2);
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    meshes[0] = new MeshPolygon(vertices,bands0,1,1);
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    meshes[0].setEffectAssociation(0,1,0);
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    meshes[1] = new MeshPolygon(vertices,bands1,0,0);
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    meshes[1].setEffectAssociation(0,2,0);
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    return new MeshJoined(meshes);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  MeshBase createFacesRexFace()
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    {
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    MeshBase[] meshes = new MeshBase[2];
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    float[] vertices = { -REX_D,0.0f, 0.0f, -REX_D, +REX_D, 0.0f, 0.0f, +REX_D};
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    FactoryCubit factory = FactoryCubit.getInstance();
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    float[] bands0 = factory.computeBands(0.016f,10,REX_D/2,0.5f,5);
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    float[] bands1 = factory.computeBands(0.000f,45,REX_D/2,0.0f,2);
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    meshes[0] = new MeshPolygon(vertices,bands0,0,0);
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    meshes[0].setEffectAssociation(0,1,0);
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    meshes[1] = new MeshPolygon(vertices,bands1,0,0);
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    meshes[1].setEffectAssociation(0,2,0);
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353
    return new MeshJoined(meshes);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  MeshBase createFacesRexEdge()
359
    {
360
    MeshBase[] meshes = new MeshPolygon[6];
361
    FactoryCubit factory = FactoryCubit.getInstance();
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    float E = 0.5f - REX_D;
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    float F = 0.5f;
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    float[] vertices0 = { -F,E/3, 0,-2*E/3, +F,E/3 };
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    float[] bands0 = factory.computeBands(0.03f,27,F/3,0.8f,5);
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368
    meshes[0] = new MeshPolygon(vertices0, bands0, 2, 3);
369
    meshes[0].setEffectAssociation(0,1,0);
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    meshes[1] = meshes[0].copy(true);
371
    meshes[1].setEffectAssociation(0,2,0);
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    float G = (float)Math.sqrt(E*E+F*F);
374
    float[] vertices1 = { -2*G/3, -E/3, G/3, -E/3, G/3, 2*E/3 };
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    float[] bands1 = factory.computeBands(0.00f,45,G/3,0.2f,3);
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    meshes[2] = new MeshPolygon(vertices1, bands1, 1, 2);
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    meshes[2].setEffectAssociation(0,4,0);
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    meshes[3] = meshes[2].copy(true);
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    meshes[3].setEffectAssociation(0,8,0);
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    meshes[4] = meshes[2].copy(true);
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    meshes[4].setEffectAssociation(0,16,0);
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    meshes[5] = meshes[2].copy(true);
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    meshes[5].setEffectAssociation(0,32,0);
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386
    return new MeshJoined(meshes);
387
    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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391
  private VertexEffect[] createVertexEffectsRexEdge()
392
    {
393
    float E = 0.5f - REX_D;
394
    float F = 0.5f;
395
    float G = (float)Math.sqrt(E*E+F*F);
396
    float A = (float)((180/Math.PI)*Math.asin(E/G));
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398
    Static3D move1 = new Static3D(    0.0f, -E/3, 0.0f);
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    Static3D move2 = new Static3D(2*G/3 -F, +E/3, 0.0f);
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401
    Static3D center0= new Static3D(0.0f, 0.0f, 0.0f);
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    Static3D center1= new Static3D(  -F, 0.0f, 0.0f);
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    Static3D center2= new Static3D(  +F, 0.0f, 0.0f);
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    Static3D axisX  = new Static3D(1.0f, 0.0f, 0.0f);
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    Static3D axisY  = new Static3D(0.0f, 1.0f, 0.0f);
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    Static3D axisZ  = new Static3D(0.0f, 0.0f, 1.0f);
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408
    Static1D angle180 = new Static1D(180);
409
    Static1D angle90  = new Static1D( 90);
410
    Static1D angle270 = new Static1D(270);
411
    Static1D angle1   = new Static1D(+A);
412
    Static1D angle2   = new Static1D(-A);
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414
    VertexEffect[] effect = new VertexEffect[12];
415

    
416
    effect[0] = new VertexEffectMove(move1);
417
    effect[1] = new VertexEffectMove(move2);
418
    effect[2] = new VertexEffectRotate(  angle90, axisX, center0 );
419
    effect[3] = new VertexEffectRotate( angle270, axisX, center0 );
420
    effect[4] = new VertexEffectRotate( angle180, axisX, center0 );
421
    effect[5] = new VertexEffectRotate( angle180, axisY, center0 );
422
    effect[6] = new VertexEffectScale( new Static3D(-1, 1, 1) );
423
    effect[7] = new VertexEffectScale ( new Static3D( 1,-1, 1) );
424
    effect[8] = new VertexEffectRotate(   angle1, axisY, center1);
425
    effect[9] = new VertexEffectRotate(   angle2, axisY, center2);
426
    effect[10]= new VertexEffectRotate(   angle2, axisZ, center1);
427
    effect[11]= new VertexEffectRotate(   angle1, axisZ, center2);
428

    
429
    effect[0].setMeshAssociation( 3,-1);  // meshes 0 & 1
430
    effect[1].setMeshAssociation(60,-1);  // meshes 2,3,4,5
431
    effect[2].setMeshAssociation( 2,-1);  // meshes 1
432
    effect[3].setMeshAssociation(12,-1);  // meshes 2,3
433
    effect[4].setMeshAssociation(48,-1);  // meshes 4,5
434
    effect[5].setMeshAssociation(32,-1);  // mesh 5
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    effect[6].setMeshAssociation( 8,-1);  // apply to mesh 3
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    effect[7].setMeshAssociation( 2,-1);  // apply to mesh 1
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    effect[8].setMeshAssociation(16,-1);  // apply to mesh 4
438
    effect[9].setMeshAssociation(32,-1);  // apply to mesh 5
439
    effect[10].setMeshAssociation(4,-1);  // apply to mesh 2
440
    effect[11].setMeshAssociation(8,-1);  // apply to mesh 3
441

    
442
    return effect;
443
    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
446

    
447
  private VertexEffect[] createVertexEffectsRexCorner()
448
    {
449
    Static3D center= new Static3D(0.0f, 0.0f, 0.0f);
450
    Static3D axisZ = new Static3D(0.0f, 0.0f, 1.0f);
451
    Static1D angle = new Static1D(225);
452

    
453
    VertexEffect[] effect = new VertexEffect[1];
454
    effect[0] = new VertexEffectRotate(angle, axisZ, center);
455

    
456
    return effect;
457
    }
458

    
459
///////////////////////////////////////////////////////////////////////////////////////////////////
460

    
461
  private MeshBase createRexCornerMesh()
462
    {
463
    MeshBase mesh = createFacesRexCorner();
464
    VertexEffect[] effects = createVertexEffectsRexCorner();
465
    for( VertexEffect effect : effects ) mesh.apply(effect);
466

    
467
    final float G = (1-REX_D)/3;
468
    Static3D center = new Static3D(0.0f,0.0f,-G*SQ2/2);
469
    Static3D[] vertices = new Static3D[1];
470
    vertices[0] = new Static3D(+G,-G,+0.0f);
471
    FactoryCubit.getInstance().roundCorners(mesh,center,vertices,0.10f,0.10f);
472

    
473
    mesh.mergeEffComponents();
474
    mesh.addEmptyTexComponent();
475
    mesh.addEmptyTexComponent();
476
    mesh.addEmptyTexComponent();
477
    mesh.addEmptyTexComponent();
478

    
479
    return mesh;
480
    }
481

    
482
///////////////////////////////////////////////////////////////////////////////////////////////////
483

    
484
  private MeshBase createRexFaceMesh()
485
    {
486
    MeshBase mesh = createFacesRexFace();
487

    
488
    mesh.mergeEffComponents();
489
    mesh.addEmptyTexComponent();
490
    mesh.addEmptyTexComponent();
491
    mesh.addEmptyTexComponent();
492
    mesh.addEmptyTexComponent();
493

    
494
    return mesh;
495
    }
496

    
497
///////////////////////////////////////////////////////////////////////////////////////////////////
498

    
499
  private MeshBase createRexEdgeMesh()
500
    {
501
    MeshBase mesh = createFacesRexEdge();
502
    VertexEffect[] effects = createVertexEffectsRexEdge();
503
    for( VertexEffect effect : effects ) mesh.apply(effect);
504

    
505
    Static3D center = new Static3D(0.0f,-0.5f,-0.5f);
506
    Static3D[] vertices = new Static3D[2];
507
    vertices[0] = new Static3D(+0.5f,+0.0f,+0.0f);
508
    vertices[1] = new Static3D(-0.5f,+0.0f,+0.0f);
509
    FactoryCubit.getInstance().roundCorners(mesh,center,vertices,0.06f,0.10f);
510

    
511
    mesh.mergeEffComponents();
512

    
513
    return mesh;
514
    }
515

    
516
///////////////////////////////////////////////////////////////////////////////////////////////////
517

    
518
  MeshBase createCubitMesh(int cubit, int numLayers)
519
    {
520
    MeshBase mesh;
521

    
522
    if( cubit<24 )
523
      {
524
      if( mCornerMesh==null ) mCornerMesh = createRexCornerMesh();
525
      mesh = mCornerMesh.copy(true);
526
      }
527
    else if( cubit<30 )
528
      {
529
      if( mFaceMesh==null ) mFaceMesh = createRexFaceMesh();
530
      mesh = mFaceMesh.copy(true);
531
      }
532
    else
533
      {
534
      if( mEdgeMesh==null ) mEdgeMesh = createRexEdgeMesh();
535
      mesh = mEdgeMesh.copy(true);
536
      }
537

    
538
    MatrixEffectQuaternion quat = new MatrixEffectQuaternion( getQuat(cubit), new Static3D(0,0,0) );
539
    mesh.apply(quat,0xffffffff,0);
540

    
541
    return mesh;
542
    }
543

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

    
546
  int getFaceColor(int cubit, int cubitface, int numLayers)
547
    {
548
    return mFaceMap[cubit][cubitface];
549
    }
550

    
551
///////////////////////////////////////////////////////////////////////////////////////////////////
552

    
553
  void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top)
554
    {
555
    int COLORS = FACE_COLORS.length;
556
    FactorySticker factory = FactorySticker.getInstance();
557
    float S1 = 0.050f;
558
    float S2 = 0.051f;
559
    float R1 = 0.07f;
560
    float R2 = 0.02f;
561
    float R3 = 0.06f;
562
    float R4 = 0.04f;
563

    
564
    if( face<COLORS )
565
      {
566
      factory.drawRexCornerSticker(canvas, paint, left, top, FACE_COLORS[face%COLORS], S1, R2, R3);
567
      }
568
    else if( face<2*COLORS )
569
      {
570
      float[] vertices = { -REX_D,0.0f, 0.0f, -REX_D, +REX_D, 0.0f, 0.0f, +REX_D};
571
      factory.drawRoundedPolygon(canvas, paint, left, top, vertices, S1, FACE_COLORS[face%COLORS], R4);
572
      }
573
    else
574
      {
575
      factory.drawRexEdgeSticker(canvas, paint, left, top, FACE_COLORS[face%COLORS], S2, R1);
576
      }
577
    }
578

    
579
///////////////////////////////////////////////////////////////////////////////////////////////////
580

    
581
  float returnMultiplier()
582
    {
583
    return 2.0f;
584
    }
585

    
586
///////////////////////////////////////////////////////////////////////////////////////////////////
587
// PUBLIC API
588

    
589
  public Static3D[] getRotationAxis()
590
    {
591
    return ROT_AXIS;
592
    }
593

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

    
596
  public int[] getBasicAngle()
597
    {
598
    return BASIC_ANGLE;
599
    }
600

    
601
///////////////////////////////////////////////////////////////////////////////////////////////////
602

    
603
  public void randomizeNewScramble(int[][] scramble, Random rnd, int num)
604
    {
605
    if( num==0 )
606
      {
607
      scramble[num][0] = rnd.nextInt(NUM_AXIS);
608
      }
609
    else
610
      {
611
      int newVector = rnd.nextInt(NUM_AXIS -1);
612
      scramble[num][0] = (newVector>=scramble[num-1][0] ? newVector+1 : newVector);
613
      }
614

    
615
    scramble[num][1] = rnd.nextFloat()<=0.5f ? 0 : 2;
616

    
617
    switch( rnd.nextInt(2) )
618
      {
619
      case 0: scramble[num][2] = -1; break;
620
      case 1: scramble[num][2] =  1; break;
621
      }
622
    }
623

    
624
///////////////////////////////////////////////////////////////////////////////////////////////////
625
// The Rex is solved if and only if:
626
//
627
// 1) all 12 of its edge cubits are rotated with the same quat
628
// 2) all its face & corner cubits are rotated with the same quat like the edge ones,
629
//    and optionally they also might be upside down.
630
//
631
// i.e.
632
// corners ( 0, 1, 2, 3, 4, 5, 6, 7) and faces (24,25) - might be extra QUAT[1]
633
// corners ( 8, 9,10,11,12,13,14,15) and faces (26,27) - might be extra QUAT[2]
634
// corners (16,17,18,19,20,21,22,23) and faces (28,29) - might be extra QUAT[3]
635

    
636
  public boolean isSolved()
637
    {
638
    int q1,q = CUBITS[30].mQuatIndex;
639

    
640
    for(int i=31; i<42; i++)
641
      {
642
      if( CUBITS[i].mQuatIndex != q) return false;
643
      }
644

    
645
    q1 = mulQuat(q,1);
646

    
647
    for(int i=0; i<8; i++)
648
      {
649
      if( CUBITS[i].mQuatIndex != q && CUBITS[i].mQuatIndex != q1 ) return false;
650
      }
651

    
652
    if( CUBITS[24].mQuatIndex != q && CUBITS[24].mQuatIndex != q1 ) return false;
653
    if( CUBITS[25].mQuatIndex != q && CUBITS[25].mQuatIndex != q1 ) return false;
654

    
655
    q1 = mulQuat(q,2);
656

    
657
    for(int i=8; i<16; i++)
658
      {
659
      if( CUBITS[i].mQuatIndex != q && CUBITS[i].mQuatIndex != q1 ) return false;
660
      }
661

    
662
    if( CUBITS[26].mQuatIndex != q && CUBITS[26].mQuatIndex != q1 ) return false;
663
    if( CUBITS[27].mQuatIndex != q && CUBITS[27].mQuatIndex != q1 ) return false;
664

    
665
    q1 = mulQuat(q,3);
666

    
667
    for(int i=16; i<24; i++)
668
      {
669
      if( CUBITS[i].mQuatIndex != q && CUBITS[i].mQuatIndex != q1 ) return false;
670
      }
671

    
672
    if( CUBITS[28].mQuatIndex != q && CUBITS[28].mQuatIndex != q1 ) return false;
673
    if( CUBITS[29].mQuatIndex != q && CUBITS[29].mQuatIndex != q1 ) return false;
674

    
675
    return true;
676
    }
677

    
678
///////////////////////////////////////////////////////////////////////////////////////////////////
679
// only needed for solvers - there are no Rex solvers ATM
680

    
681
  public String retObjectString()
682
    {
683
    return "";
684
    }
685

    
686
///////////////////////////////////////////////////////////////////////////////////////////////////
687

    
688
  public int getObjectName(int numLayers)
689
    {
690
    return R.string.rex3;
691
    }
692

    
693
///////////////////////////////////////////////////////////////////////////////////////////////////
694

    
695
  public int getInventor(int numLayers)
696
    {
697
    return R.string.rex3_inventor;
698
    }
699

    
700
///////////////////////////////////////////////////////////////////////////////////////////////////
701

    
702
  public int getComplexity(int numLayers)
703
    {
704
    return 3;
705
    }
706
}
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