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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 TwistySkewb 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 int FACES_PER_CUBIT =6;
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// the four rotation axis of a RubikSkewb. 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[] 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_BROWN
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};
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// All legal rotation quats of a RubikSkewb
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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 float DIST_CORNER = 0.50f;
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private static final float DIST_CENTER = 0.49f;
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// centers of the 8 corners + 6 sides ( 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_CORNER, DIST_CORNER, DIST_CORNER ),
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new Static3D( DIST_CORNER, DIST_CORNER,-DIST_CORNER ),
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new Static3D( DIST_CORNER,-DIST_CORNER, DIST_CORNER ),
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new Static3D( DIST_CORNER,-DIST_CORNER,-DIST_CORNER ),
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new Static3D(-DIST_CORNER, DIST_CORNER, DIST_CORNER ),
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new Static3D(-DIST_CORNER, DIST_CORNER,-DIST_CORNER ),
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new Static3D(-DIST_CORNER,-DIST_CORNER, DIST_CORNER ),
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new Static3D(-DIST_CORNER,-DIST_CORNER,-DIST_CORNER ),
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new Static3D( DIST_CENTER, 0.0f, 0.0f ),
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new Static3D(-DIST_CENTER, 0.0f, 0.0f ),
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new Static3D( 0.0f, DIST_CENTER, 0.0f ),
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new Static3D( 0.0f,-DIST_CENTER, 0.0f ),
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new Static3D( 0.0f, 0.0f, DIST_CENTER ),
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new Static3D( 0.0f, 0.0f,-DIST_CENTER ),
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};
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// Colors of the faces of cubits. Each cubit, even the face pyramid, has 6 faces
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// (the face has one extra 'fake' face so that everything would have the same number)
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private static final int[][] mFaceMap = new int[][]
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{
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{ 4,2,0, 12,12,12 },
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{ 2,5,0, 12,12,12 },
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{ 3,4,0, 12,12,12 },
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{ 5,3,0, 12,12,12 },
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{ 1,2,4, 12,12,12 },
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{ 5,2,1, 12,12,12 },
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{ 4,3,1, 12,12,12 },
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{ 1,3,5, 12,12,12 },
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{ 6 , 12,12,12,12,12 },
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{ 7 , 12,12,12,12,12 },
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{ 8 , 12,12,12,12,12 },
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{ 9 , 12,12,12,12,12 },
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{ 10, 12,12,12,12,12 },
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{ 11, 12,12,12,12,12 },
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};
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private static MeshBase mCornerMesh, mFaceMesh;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistySkewb(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.SKEW, 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 1.0f;
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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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// Each face has two types of a texture: the central square and the triangle in the corner.
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int getNumStickerTypes()
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{
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return 2;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getBasicStep()
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{
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return SQ3;
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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: return QUATS[0]; // unit quat
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case 1: return new Static4D( SQ2/2,0,0,SQ2/2); // 90 along X
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case 2: return new Static4D(-SQ2/2,0,0,SQ2/2); // -90 along X
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case 3: return QUATS[1]; // 180 along X
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case 4: return new Static4D(0, SQ2/2,0,SQ2/2); // 90 along Y
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case 5: return QUATS[2]; // 180 along Y
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case 6: return QUATS[3]; // 180 along Z
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case 7: return new Static4D(SQ2/2,0,-SQ2/2,0); // 180 along (SQ2/2,0,-SQ2/2)
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case 8: return new Static4D(0,-SQ2/2,0,SQ2/2); // -90 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( SQ2/2,0,0,SQ2/2); // 90 along X
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case 11: return new Static4D(-SQ2/2,0,0,SQ2/2); // -90 along X
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case 12: return QUATS[0]; // unit quaternion
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case 13: return QUATS[1]; // 180 along X
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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<8 )
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{
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if( mCornerMesh==null ) mCornerMesh = CubitFactory.getInstance().createSkewbCornerMesh();
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mesh = mCornerMesh.copy(true);
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}
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else
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{
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if( mFaceMesh==null ) mFaceMesh = CubitFactory.getInstance().createSkewbFaceMesh();
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mesh = mFaceMesh.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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int COLORS = FACE_COLORS.length;
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if( face<COLORS )
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{
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float STROKE = 0.035f*side;
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float L= left+0.125f*side;
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float H= 0.375f*side;
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float LEN = 0.5f*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( L , H, L+LEN, H , paint);
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canvas.drawLine( L , H, L+LEN, H+LEN, paint);
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canvas.drawLine( L+LEN, H, L+LEN, H+LEN, paint);
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float S1 = 0.125f*side;
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float S2 = 0.070f*side;
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float X = 0.7f*S2;
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float LA = left+0.625f*side;
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float RA = left+0.125f*side;
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float TA = 0.375f*side;
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float BA = 0.875f*side;
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canvas.drawArc( LA-S1, TA , LA , TA+S1, 270, 90, false, paint);
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canvas.drawArc( RA+X , TA , RA+X+S2, TA+S2, 135,135, false, paint);
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canvas.drawArc( LA-S2, BA-X-S2, LA , BA-X , 0,135, false, paint);
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}
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else
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{
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final float R = (SQ2/2)*side*0.10f;
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final float M = side*(0.5f-SQ2/4+0.018f);
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paint.setColor(FACE_COLORS[face-COLORS]);
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paint.setStyle(Paint.Style.FILL);
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canvas.drawRoundRect( left+M, top+M, left+side-M, top+side-M, R, R, paint);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float returnMultiplier()
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{
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return 2.0f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getRowChances()
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{
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float[] chances = new float[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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360
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return 0;
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}
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363
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///////////////////////////////////////////////////////////////////////////////////////////////////
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365
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// remember about the double cover or unit quaternions!
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366
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private int mulQuat(int q1, int q2)
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{
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Static4D result = RubikSurfaceView.quatMultiply(QUATS[q1],QUATS[q2]);
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370
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float rX = result.get0();
|
|
372
|
float rY = result.get1();
|
|
373
|
float rZ = result.get2();
|
|
374
|
float rW = result.get3();
|
|
375
|
|
|
376
|
final float MAX_ERROR = 0.1f;
|
|
377
|
float dX,dY,dZ,dW;
|
|
378
|
|
|
379
|
for(int i=0; i<QUATS.length; i++)
|
|
380
|
{
|
|
381
|
dX = QUATS[i].get0() - rX;
|
|
382
|
dY = QUATS[i].get1() - rY;
|
|
383
|
dZ = QUATS[i].get2() - rZ;
|
|
384
|
dW = QUATS[i].get3() - rW;
|
|
385
|
|
|
386
|
if( dX<MAX_ERROR && dX>-MAX_ERROR &&
|
|
387
|
dY<MAX_ERROR && dY>-MAX_ERROR &&
|
|
388
|
dZ<MAX_ERROR && dZ>-MAX_ERROR &&
|
|
389
|
dW<MAX_ERROR && dW>-MAX_ERROR ) return i;
|
|
390
|
|
|
391
|
dX = QUATS[i].get0() + rX;
|
|
392
|
dY = QUATS[i].get1() + rY;
|
|
393
|
dZ = QUATS[i].get2() + rZ;
|
|
394
|
dW = QUATS[i].get3() + rW;
|
|
395
|
|
|
396
|
if( dX<MAX_ERROR && dX>-MAX_ERROR &&
|
|
397
|
dY<MAX_ERROR && dY>-MAX_ERROR &&
|
|
398
|
dZ<MAX_ERROR && dZ>-MAX_ERROR &&
|
|
399
|
dW<MAX_ERROR && dW>-MAX_ERROR ) return i;
|
|
400
|
}
|
|
401
|
|
|
402
|
return -1;
|
|
403
|
}
|
|
404
|
|
|
405
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
406
|
// The Skewb is solved if and only if:
|
|
407
|
//
|
|
408
|
// 1) all of its corner cubits are rotated with the same quat
|
|
409
|
// 2) all its face cubits are rotated with the same quat like the corner ones,
|
|
410
|
// and optionally they also might be upside down.
|
|
411
|
//
|
|
412
|
// i.e.
|
|
413
|
// cubits [ 8] and [ 9] - might be extra QUAT[1]
|
|
414
|
// cubits [10] and [11] - might be extra QUAT[2]
|
|
415
|
// cubits [12] and [13] - might be extra QUAT[3]
|
|
416
|
|
|
417
|
public boolean isSolved()
|
|
418
|
{
|
|
419
|
int q = CUBITS[0].mQuatIndex;
|
|
420
|
|
|
421
|
if ( CUBITS[1].mQuatIndex == q &&
|
|
422
|
CUBITS[2].mQuatIndex == q &&
|
|
423
|
CUBITS[3].mQuatIndex == q &&
|
|
424
|
CUBITS[4].mQuatIndex == q &&
|
|
425
|
CUBITS[5].mQuatIndex == q &&
|
|
426
|
CUBITS[6].mQuatIndex == q &&
|
|
427
|
CUBITS[7].mQuatIndex == q )
|
|
428
|
{
|
|
429
|
int q1 = mulQuat(q,1);
|
|
430
|
int q2 = mulQuat(q,2);
|
|
431
|
int q3 = mulQuat(q,3);
|
|
432
|
|
|
433
|
return (CUBITS[ 8].mQuatIndex == q || CUBITS[ 8].mQuatIndex == q1) &&
|
|
434
|
(CUBITS[ 9].mQuatIndex == q || CUBITS[ 9].mQuatIndex == q1) &&
|
|
435
|
(CUBITS[10].mQuatIndex == q || CUBITS[10].mQuatIndex == q2) &&
|
|
436
|
(CUBITS[11].mQuatIndex == q || CUBITS[11].mQuatIndex == q2) &&
|
|
437
|
(CUBITS[12].mQuatIndex == q || CUBITS[12].mQuatIndex == q3) &&
|
|
438
|
(CUBITS[13].mQuatIndex == q || CUBITS[13].mQuatIndex == q3) ;
|
|
439
|
}
|
|
440
|
|
|
441
|
return false;
|
|
442
|
}
|
|
443
|
|
|
444
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
445
|
// only needed for solvers - there are no Skewb solvers ATM)
|
|
446
|
|
|
447
|
public String retObjectString()
|
|
448
|
{
|
|
449
|
return "";
|
|
450
|
}
|
|
451
|
|
|
452
|
}
|