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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.MatrixEffectQuaternion;
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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.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.main.R;
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import org.distorted.main.RubikSurfaceView;
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import java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyDiamond extends TwistyObject
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{
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private static final int FACES_PER_CUBIT =8;
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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[] FACE_COLORS = new int[]
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{
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COLOR_GREY , COLOR_VIOLET,
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COLOR_YELLOW, COLOR_WHITE ,
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COLOR_BLUE , COLOR_RED ,
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COLOR_ORANGE, COLOR_GREEN
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};
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// All legal rotation quats of a Diamond: unit + three 180 deg turns + 8 generators
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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( 0.0f, 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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private static final float DIST = 0.50f;
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// centers of the 6 octahedrons + 8 tetrahedrons ( i.e. of the all 14 cubits)
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private static final float[][] CENTERS = new float[][]
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{
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{ DIST, 0, DIST },
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{ DIST, 0,-DIST },
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{-DIST, 0,-DIST },
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{-DIST, 0, DIST },
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{ 0, DIST*SQ2 , 0 },
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{ 0,-DIST*SQ2 , 0 },
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{ 0, DIST*SQ2/2, DIST },
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{ DIST, DIST*SQ2/2, 0 },
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{ 0, DIST*SQ2/2,-DIST },
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{-DIST, DIST*SQ2/2, 0 },
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{ 0,-DIST*SQ2/2, DIST },
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{ DIST,-DIST*SQ2/2, 0 },
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{ 0,-DIST*SQ2/2,-DIST },
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{-DIST,-DIST*SQ2/2, 0 }
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};
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// Colors of the faces of cubits. Each cubit has 8 faces
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private static final int[][] mFaceMap = new int[][]
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{
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{ 6,1,8,8, 2,5,8,8 },
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{ 8,1,3,8, 8,5,7,8 },
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{ 8,8,3,4, 8,8,7,0 },
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{ 6,8,8,4, 2,8,8,0 },
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{ 6,1,3,4, 8,8,8,8 },
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{ 8,8,8,8, 2,5,7,0 },
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{ 6,8,8,8, 8,8,8,8 },
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{ 1,8,8,8, 8,8,8,8 },
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{ 3,8,8,8, 8,8,8,8 },
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{ 4,8,8,8, 8,8,8,8 },
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{ 2,8,8,8, 8,8,8,8 },
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{ 5,8,8,8, 8,8,8,8 },
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{ 7,8,8,8, 8,8,8,8 },
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{ 0,8,8,8, 8,8,8,8 }
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};
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private static MeshBase mOctaMesh, mTetraMesh;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyDiamond(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, size, quat, texture, mesh, effects, moves, ObjectList.DIAM, 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 0.65f;
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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 1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getCuts(int size)
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{
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float[] cuts = new float[1];
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cuts[0] = 0.0f;
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return cuts;
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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 size)
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{
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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:
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case 1:
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case 2:
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case 3:
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case 4:
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case 5:
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case 6: return QUATS[0]; // unit quat
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case 7: return new Static4D(0,-SQ2/2,0,SQ2/2); // 90 along Y
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case 8: return QUATS[1]; // 180 along Y
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case 9: return new Static4D(0,+SQ2/2,0,SQ2/2); // 90 along Y
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case 10: return new Static4D(0, 0,1, 0); // 180 along Z
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case 11: return new Static4D(SQ2/2, 0,SQ2/2,0); //
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case 12: return new Static4D( 1,0,0, 0); // 180 along X
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case 13: return new Static4D(-SQ2/2,0,SQ2/2,0); //
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}
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return null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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MeshBase createCubitMesh(int cubit, int numLayers)
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{
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MeshBase mesh;
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if( cubit<6 )
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{
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if( mOctaMesh==null ) mOctaMesh = FactoryCubit.getInstance().createOctaMesh();
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mesh = mOctaMesh.copy(true);
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}
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else
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{
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if( mTetraMesh==null ) mTetraMesh = FactoryCubit.getInstance().createTetraMesh();
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mesh = mTetraMesh.copy(true);
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}
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MatrixEffectQuaternion quat = new MatrixEffectQuaternion( getQuat(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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return mFaceMap[cubit][cubitface];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top)
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{
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float E = 0.75f;
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float F = 0.50f;
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float R = 0.06f;
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float S = 0.07f;
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float[] vertices = { -F,-E/3, +F,-E/3, 0.0f,2*E/3};
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FactorySticker factory = FactorySticker.getInstance();
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factory.drawRoundedPolygon(canvas, paint, left, top, vertices, S, FACE_COLORS[face], R);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float returnMultiplier()
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{
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return 1.5f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getRowChances(int numLayers)
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{
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float[] chances = new float[2];
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chances[0] = 0.5f;
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chances[1] = 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 void randomizeNewScramble(int[][] scramble, Random rnd, int num)
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{
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if( num==0 )
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{
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scramble[num][0] = rnd.nextInt(ROTATION_AXIS.length);
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}
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else
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{
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int newVector = rnd.nextInt(ROTATION_AXIS.length-1);
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scramble[num][0] = (newVector>=scramble[num-1][0] ? newVector+1 : newVector);
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}
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float rowFloat = rnd.nextFloat();
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for(int row=0; row<mRowChances.length; row++)
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{
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if( rowFloat<=mRowChances[row] )
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{
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scramble[num][1] = row;
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break;
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}
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}
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switch( rnd.nextInt(2) )
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{
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case 0: scramble[num][2] = -1; break;
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case 1: scramble[num][2] = 1; break;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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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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360
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return -1;
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}
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363
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364
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///////////////////////////////////////////////////////////////////////////////////////////////////
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365
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// The Diamond is solved if and only if:
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366
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//
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367
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// 1) all 6 octahedrons are rotated with the same quat
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368
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// 2) the 8 tetrahedrons are rotated with the quat and, optionally, the can also be rotated
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369
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// by multitudes of 120 degrees along the face they are the center of.
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370
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//
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371
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// so:
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372
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// 1) cubits 6,12: can also be QUAT 6,10
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373
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// 2) cubits 7,13: can also be QUAT 4,8
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// 3) cubits 8,10: can also be QUAT 7,11
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375
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// 4) cubits 9,11: can also be QUAT 5,9
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376
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377
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public boolean isSolved()
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378
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{
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379
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int q = CUBITS[0].mQuatIndex;
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380
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381
|
if ( CUBITS[ 1].mQuatIndex == q &&
|
|
382
|
CUBITS[ 2].mQuatIndex == q &&
|
|
383
|
CUBITS[ 3].mQuatIndex == q &&
|
|
384
|
CUBITS[ 4].mQuatIndex == q &&
|
|
385
|
CUBITS[ 5].mQuatIndex == q )
|
|
386
|
{
|
|
387
|
int q1 = mulQuat(q,5);
|
|
388
|
int q2 = mulQuat(q,9);
|
|
389
|
|
|
390
|
if( CUBITS[ 9].mQuatIndex != q && CUBITS[ 9].mQuatIndex != q1 && CUBITS[ 9].mQuatIndex != q2 ) return false;
|
|
391
|
if( CUBITS[11].mQuatIndex != q && CUBITS[11].mQuatIndex != q1 && CUBITS[11].mQuatIndex != q2 ) return false;
|
|
392
|
|
|
393
|
q1 = mulQuat(q,4);
|
|
394
|
q2 = mulQuat(q,8);
|
|
395
|
|
|
396
|
if( CUBITS[ 7].mQuatIndex != q && CUBITS[ 7].mQuatIndex != q1 && CUBITS[ 7].mQuatIndex != q2 ) return false;
|
|
397
|
if( CUBITS[13].mQuatIndex != q && CUBITS[13].mQuatIndex != q1 && CUBITS[13].mQuatIndex != q2 ) return false;
|
|
398
|
|
|
399
|
q1 = mulQuat(q,6);
|
|
400
|
q2 = mulQuat(q,10);
|
|
401
|
|
|
402
|
if( CUBITS[ 6].mQuatIndex != q && CUBITS[ 6].mQuatIndex != q1 && CUBITS[ 6].mQuatIndex != q2 ) return false;
|
|
403
|
if( CUBITS[12].mQuatIndex != q && CUBITS[12].mQuatIndex != q1 && CUBITS[12].mQuatIndex != q2 ) return false;
|
|
404
|
|
|
405
|
q1 = mulQuat(q,7);
|
|
406
|
q2 = mulQuat(q,11);
|
|
407
|
|
|
408
|
if( CUBITS[ 8].mQuatIndex != q && CUBITS[ 8].mQuatIndex != q1 && CUBITS[ 8].mQuatIndex != q2 ) return false;
|
|
409
|
if( CUBITS[10].mQuatIndex != q && CUBITS[10].mQuatIndex != q1 && CUBITS[10].mQuatIndex != q2 ) return false;
|
|
410
|
|
|
411
|
return true;
|
|
412
|
}
|
|
413
|
|
|
414
|
return false;
|
|
415
|
}
|
|
416
|
|
|
417
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
418
|
// only needed for solvers - there are no Diamond solvers ATM
|
|
419
|
|
|
420
|
public String retObjectString()
|
|
421
|
{
|
|
422
|
return "";
|
|
423
|
}
|
|
424
|
|
|
425
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
426
|
|
|
427
|
public int getObjectName(int numLayers)
|
|
428
|
{
|
|
429
|
return R.string.diam2;
|
|
430
|
}
|
|
431
|
|
|
432
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
433
|
|
|
434
|
public int getInventor(int numLayers)
|
|
435
|
{
|
|
436
|
return R.string.diam2_inventor;
|
|
437
|
}
|
|
438
|
|
|
439
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
440
|
|
|
441
|
public int getComplexity(int numLayers)
|
|
442
|
{
|
|
443
|
return 5;
|
|
444
|
}
|
|
445
|
}
|