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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.RubikSurfaceView;
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import java.util.Random;
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import static org.distorted.effects.scramble.ScrambleEffect.START_AXIS;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyDiamond extends TwistyObject
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{
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private static final float SQ2 = (float)Math.sqrt(2);
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private static final float SQ3 = (float)Math.sqrt(3);
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private static final float SQ6 = (float)Math.sqrt(6);
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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_YELLOW, COLOR_WHITE ,
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COLOR_BLUE , COLOR_GREEN ,
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COLOR_PINK , COLOR_VIOLET,
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COLOR_RED , COLOR_BROWN ,
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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 Static3D[] CENTERS = new Static3D[]
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{
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new Static3D( DIST, 0, DIST ),
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new Static3D( DIST, 0,-DIST ),
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new Static3D(-DIST, 0,-DIST ),
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new Static3D(-DIST, 0, DIST ),
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new Static3D( 0, DIST*SQ2 , 0 ),
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new Static3D( 0,-DIST*SQ2 , 0 ),
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new Static3D( 0, DIST*SQ2/2, DIST ),
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new Static3D( DIST, DIST*SQ2/2, 0 ),
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new Static3D( 0, DIST*SQ2/2,-DIST ),
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new Static3D(-DIST, DIST*SQ2/2, 0 ),
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new Static3D( 0,-DIST*SQ2/2, DIST ),
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new Static3D( DIST,-DIST*SQ2/2, 0 ),
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new Static3D( 0,-DIST*SQ2/2,-DIST ),
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new Static3D(-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, 60, 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()
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{
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return 1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getBasicStep()
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{
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return SQ6/4;
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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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Static3D[] getCubitPositions(int size)
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{
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return CENTERS;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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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)
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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 = CubitFactory.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 = CubitFactory.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, int side)
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{
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float STROKE = 0.044f*side;
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float OFF = STROKE/2 -1;
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float OFF2 = 0.5f*side + OFF;
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float HEIGHT = side - OFF;
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float RADIUS = side/12.0f;
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float ARC1_H = 0.2f*side;
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float ARC1_W = side*0.5f;
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float ARC2_W = 0.153f*side;
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float ARC2_H = 0.905f*side;
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float ARC3_W = side-ARC2_W;
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float M = SQ3/2;
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float D = (M/2 - 0.51f)*side;
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paint.setAntiAlias(true);
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paint.setStrokeWidth(STROKE);
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paint.setColor(FACE_COLORS[face]);
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paint.setStyle(Paint.Style.FILL);
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canvas.drawRect(left,top,left+side,top+side,paint);
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paint.setColor(INTERIOR_COLOR);
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paint.setStyle(Paint.Style.STROKE);
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canvas.drawLine( left, M*HEIGHT+D, side +left, M*HEIGHT+D, paint);
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canvas.drawLine( OFF +left, M*side +D, OFF2 +left, D, paint);
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canvas.drawLine((side-OFF)+left, M*side +D, (side-OFF2) +left, D, paint);
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canvas.drawArc( ARC1_W-RADIUS+left, M*(ARC1_H-RADIUS)+D, ARC1_W+RADIUS+left, M*(ARC1_H+RADIUS)+D, 225, 90, false, paint);
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canvas.drawArc( ARC2_W-RADIUS+left, M*(ARC2_H-RADIUS)+D, ARC2_W+RADIUS+left, M*(ARC2_H+RADIUS)+D, 105, 90, false, paint);
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canvas.drawArc( ARC3_W-RADIUS+left, M*(ARC2_H-RADIUS)+D, ARC3_W+RADIUS+left, M*(ARC2_H+RADIUS)+D, 345, 90, false, paint);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float returnMultiplier()
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{
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return 1.5f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getRowChances()
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{
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float[] chances = new float[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 int randomizeNewRotAxis(Random rnd, int oldRotAxis)
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{
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int numAxis = ROTATION_AXIS.length;
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if( oldRotAxis == START_AXIS )
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{
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return rnd.nextInt(numAxis);
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}
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else
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{
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int newVector = rnd.nextInt(numAxis-1);
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return (newVector>=oldRotAxis ? newVector+1 : newVector);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int randomizeNewRow(Random rnd, int oldRotAxis, int oldRow, int newRotAxis)
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{
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float rowFloat = rnd.nextFloat();
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for(int row=0; row<mRowChances.length; row++)
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{
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if( rowFloat<=mRowChances[row] ) return row;
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}
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return 0;
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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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372
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dZ<MAX_ERROR && dZ>-MAX_ERROR &&
|
|
373
|
dW<MAX_ERROR && dW>-MAX_ERROR ) return i;
|
|
374
|
|
|
375
|
dX = QUATS[i].get0() + rX;
|
|
376
|
dY = QUATS[i].get1() + rY;
|
|
377
|
dZ = QUATS[i].get2() + rZ;
|
|
378
|
dW = QUATS[i].get3() + rW;
|
|
379
|
|
|
380
|
if( dX<MAX_ERROR && dX>-MAX_ERROR &&
|
|
381
|
dY<MAX_ERROR && dY>-MAX_ERROR &&
|
|
382
|
dZ<MAX_ERROR && dZ>-MAX_ERROR &&
|
|
383
|
dW<MAX_ERROR && dW>-MAX_ERROR ) return i;
|
|
384
|
}
|
|
385
|
|
|
386
|
return -1;
|
|
387
|
}
|
|
388
|
|
|
389
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
390
|
// The Diamond is solved if and only if:
|
|
391
|
//
|
|
392
|
// 1) all 5 octahedrons are rotated with the same quat
|
|
393
|
// 2) the 8 tetrahedrons are rotated with the quat and, optionally, the can also be rotated
|
|
394
|
// by multitudes of 120 degrees along the face they are the center of.
|
|
395
|
//
|
|
396
|
// so:
|
|
397
|
// 1) cubits 6,12: can also be QUAT 6,10
|
|
398
|
// 2) cubits 7,13: can also be QUAT 4,8
|
|
399
|
// 3) cubits 8,10: can also be QUAT 7,11
|
|
400
|
// 4) cubits 9,11: can also be QUAT 5,9
|
|
401
|
|
|
402
|
public boolean isSolved()
|
|
403
|
{
|
|
404
|
int q = CUBITS[0].mQuatIndex;
|
|
405
|
|
|
406
|
if ( CUBITS[ 1].mQuatIndex == q &&
|
|
407
|
CUBITS[ 2].mQuatIndex == q &&
|
|
408
|
CUBITS[ 3].mQuatIndex == q &&
|
|
409
|
CUBITS[ 4].mQuatIndex == q &&
|
|
410
|
CUBITS[ 5].mQuatIndex == q )
|
|
411
|
{
|
|
412
|
int q1 = mulQuat(q,5);
|
|
413
|
int q2 = mulQuat(q,9);
|
|
414
|
|
|
415
|
if( CUBITS[ 9].mQuatIndex != q && CUBITS[ 9].mQuatIndex != q1 && CUBITS[ 9].mQuatIndex != q2 ) return false;
|
|
416
|
if( CUBITS[11].mQuatIndex != q && CUBITS[11].mQuatIndex != q1 && CUBITS[11].mQuatIndex != q2 ) return false;
|
|
417
|
|
|
418
|
q1 = mulQuat(q,4);
|
|
419
|
q2 = mulQuat(q,8);
|
|
420
|
|
|
421
|
if( CUBITS[ 7].mQuatIndex != q && CUBITS[ 7].mQuatIndex != q1 && CUBITS[ 7].mQuatIndex != q2 ) return false;
|
|
422
|
if( CUBITS[13].mQuatIndex != q && CUBITS[13].mQuatIndex != q1 && CUBITS[13].mQuatIndex != q2 ) return false;
|
|
423
|
|
|
424
|
q1 = mulQuat(q,6);
|
|
425
|
q2 = mulQuat(q,10);
|
|
426
|
|
|
427
|
if( CUBITS[ 6].mQuatIndex != q && CUBITS[ 6].mQuatIndex != q1 && CUBITS[ 6].mQuatIndex != q2 ) return false;
|
|
428
|
if( CUBITS[12].mQuatIndex != q && CUBITS[12].mQuatIndex != q1 && CUBITS[12].mQuatIndex != q2 ) return false;
|
|
429
|
|
|
430
|
q1 = mulQuat(q,7);
|
|
431
|
q2 = mulQuat(q,11);
|
|
432
|
|
|
433
|
if( CUBITS[ 8].mQuatIndex != q && CUBITS[ 8].mQuatIndex != q1 && CUBITS[ 8].mQuatIndex != q2 ) return false;
|
|
434
|
if( CUBITS[10].mQuatIndex != q && CUBITS[10].mQuatIndex != q1 && CUBITS[10].mQuatIndex != q2 ) return false;
|
|
435
|
|
|
436
|
return true;
|
|
437
|
}
|
|
438
|
|
|
439
|
return false;
|
|
440
|
}
|
|
441
|
|
|
442
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
443
|
// only needed for solvers - there are no Diamond solvers ATM
|
|
444
|
|
|
445
|
public String retObjectString()
|
|
446
|
{
|
|
447
|
return "";
|
|
448
|
}
|
|
449
|
|
|
450
|
}
|