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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2019 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.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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import static org.distorted.effects.scramble.ScrambleEffect.START_AXIS;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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class TwistyCube extends TwistyObject
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{
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// the three rotation axis of a RubikCube. Must be normalized.
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D(1,0,0),
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new Static3D(0,1,0),
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new Static3D(0,0,1)
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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_ORANGE
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};
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// All legal rotation quats of a RubikCube of any size.
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// Here's how to compute this:
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// 1) compute how many rotations there are (RubikCube of any size = 24)
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// 2) take the AXIS, angles of rotation (90 in RubikCube's case) compute the basic quaternions
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// (i.e. rotations of 1 basic angle along each of the axis) and from there start semi-randomly
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// multiplying them and eventually you'll find all (24) legal rotations.
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// Example program in C, res/raw/compute_quats.c , is included.
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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( SQ2/2, SQ2/2, 0.0f , 0.0f),
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new Static4D( SQ2/2, -SQ2/2, 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, 0.0f, 0.0f, SQ2/2),
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new Static4D( SQ2/2, 0.0f, 0.0f, -SQ2/2),
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new Static4D( 0.0f, SQ2/2, SQ2/2, 0.0f),
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new Static4D( 0.0f, SQ2/2, -SQ2/2, 0.0f),
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new Static4D( 0.0f, SQ2/2, 0.0f, SQ2/2),
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new Static4D( 0.0f, SQ2/2, 0.0f, -SQ2/2),
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new Static4D( 0.0f, 0.0f, SQ2/2, SQ2/2),
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new Static4D( 0.0f, 0.0f, SQ2/2, -SQ2/2),
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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 MeshBase[] mMeshes;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyCube(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, 60, quat, texture, mesh, effects, moves, ObjectList.CUBE, res, scrWidth);
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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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if( mMeshes==null )
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{
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mMeshes = new MeshBase[ObjectList.CUBE.getNumVariants()];
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}
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int ordinal= ObjectList.CUBE.ordinal();
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int index = ObjectList.getSizeIndex(ordinal,getNumLayers());
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if( mMeshes[index]==null )
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{
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mMeshes[index] = FactoryCubit.getInstance().createCubeMesh(index);
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}
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return mMeshes[index].copy(true);
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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 F = 0.5f;
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float R = 0.10f;
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float S = 0.08f;
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float[] vertices = { -F,-F, +F,-F, +F,+F, -F,+F};
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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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Static3D[] getCubitPositions(int size)
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{
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int numCubits = size>1 ? 6*size*size - 12*size + 8 : 1;
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Static3D[] tmp = new Static3D[numCubits];
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float diff = 0.5f*(size-1);
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int currentPosition = 0;
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for(int x = 0; x<size; x++)
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for(int y = 0; y<size; y++)
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for(int z = 0; z<size; z++)
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if( x==0 || x==size-1 || y==0 || y==size-1 || z==0 || z==size-1 )
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{
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tmp[currentPosition++] = new Static3D(x-diff,y-diff,z-diff);
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}
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return tmp;
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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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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 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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float[] getCuts(int numLayers)
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{
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float[] cuts = new float[numLayers-1];
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for(int i=0; i<numLayers-1; i++)
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{
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cuts[i] = (2-numLayers)*0.5f + i;
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}
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return cuts;
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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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int getNumCubitFaces()
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{
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return FACE_COLORS.length;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return 0.5f;
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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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float diff = CUBITS[cubit].mRotationRow[cubitface/2] - (cubitface%2==0 ? size-1:0);
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return diff*diff < 0.0001f ? cubitface : NUM_FACES;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float returnMultiplier()
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{
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return getNumLayers();
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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[numLayers];
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for(int i=0; i<numLayers; i++)
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{
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chances[i] = (i+1.0f) / numLayers;
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}
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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 4;
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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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public boolean isSolved()
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{
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int index = CUBITS[0].mQuatIndex;
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for(int i=1; i<NUM_CUBITS; i++)
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{
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if( !thereIsNoVisibleDifference(CUBITS[i], index) ) return false;
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}
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// return if the Cubit, when rotated with its own mQuatScramble, would have looked any different
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// then if it were rotated by quaternion 'quat'.
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// No it is not so simple as the quats need to be the same - imagine a 4x4x4 cube where the two
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// middle squares get interchanged. No visible difference!
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//
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// So: this is true iff the cubit
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// a) is a corner or edge and the quaternions are the same
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// b) is inside one of the faces and after rotations by both quats it ends up on the same face.
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private boolean thereIsNoVisibleDifference(Cubit cubit, int quatIndex)
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{
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if ( cubit.mQuatIndex == quatIndex ) return true;
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int belongsToHowManyFaces = 0;
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int lastLayer = getNumLayers()-1;
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float row;
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final float MAX_ERROR = 0.01f;
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for(int i=0; i<NUM_AXIS; i++)
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{
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row = cubit.mRotationRow[i];
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if( (row <MAX_ERROR && row >-MAX_ERROR) ||
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(row-lastLayer<MAX_ERROR && row-lastLayer>-MAX_ERROR) ) belongsToHowManyFaces++;
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}
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switch(belongsToHowManyFaces)
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{
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case 0 : return true ; // 'inside' cubit that does not lie on any face
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case 1 : // cubit that lies inside one of the faces
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Static3D orig = cubit.getOrigPosition();
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Static4D quat1 = QUATS[quatIndex];
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Static4D quat2 = QUATS[cubit.mQuatIndex];
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Static4D cubitCenter = new Static4D( orig.get0(), orig.get1(), orig.get2(), 0);
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Static4D rotated1 = RubikSurfaceView.rotateVectorByQuat( cubitCenter, quat1 );
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Static4D rotated2 = RubikSurfaceView.rotateVectorByQuat( cubitCenter, quat2 );
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float row1, row2;
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float x1 = rotated1.get0();
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float y1 = rotated1.get1();
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float z1 = rotated1.get2();
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float x2 = rotated2.get0();
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float y2 = rotated2.get1();
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float z2 = rotated2.get2();
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for(int i=0; i<NUM_AXIS; i++)
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{
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row1 = computeRow(x1,y1,z1,i);
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row2 = computeRow(x2,y2,z2,i);
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354
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if( (row1==0 && row2==0) || (row1==lastLayer && row2==lastLayer) ) return true;
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}
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return false;
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358
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default: return false; // edge or corner
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}
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}
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362
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///////////////////////////////////////////////////////////////////////////////////////////////////
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364
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// order: Up --> Right --> Front --> Down --> Left --> Back
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// (because the first implemented Solver - the two-phase Cube3 one - expects such order)
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366
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//
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367
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// Solved 3x3x3 Cube maps to "UUUUUUUUURRRRRRRRRFFFFFFFFFDDDDDDDDDLLLLLLLLLBBBBBBBBB"
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368
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//
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369
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// s : size of the cube; let index = a*s + b (i.e. a,b = row,column)
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//
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// Up : index --> b<s-1 ? (s-1)*(s+4b)+a : 6*s*s -13*s +8 +a
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372
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// Right : index --> 6*s*s - 12*s + 7 - index
|
|
373
|
// Front : index --> if b==0 : s*s - 1 - index
|
|
374
|
// if b==s-1: 6*s*s -11*s +6 - index
|
|
375
|
// else
|
|
376
|
// a==0: s*s + s-1 + 4*(b-1)*(s-1) + 2*(s-2) + s
|
|
377
|
// else: s*s + s-1 + 4*(b-1)*(s-1) + 2*(s-1-a)
|
|
378
|
// Down : index --> b==0 ? (s-1-a) : s*s + s-1 + 4*(b-1)*(s-1) - a
|
|
379
|
// Left : index --> (s-1-a)*s + b
|
|
380
|
// Back : index --> if b==s-1: s*(s-1-a)
|
|
381
|
// if b==0 : 5*s*s -12*s + 8 + (s-1-a)*s
|
|
382
|
// else
|
|
383
|
// if a==s-1: s*s + 4*(s-2-b)*(s-1)
|
|
384
|
// else : s*s + 4*(s-2-b)*(s-1) + s + (s-2-a)*2
|
|
385
|
|
|
386
|
public String retObjectString()
|
|
387
|
{
|
|
388
|
StringBuilder objectString = new StringBuilder();
|
|
389
|
int layers = getNumLayers();
|
|
390
|
int len = layers*layers;
|
|
391
|
int cubitIndex, row, col, color,face;
|
|
392
|
|
|
393
|
final int RIGHT= 0;
|
|
394
|
final int LEFT = 1;
|
|
395
|
final int UP = 2;
|
|
396
|
final int DOWN = 3;
|
|
397
|
final int FRONT= 4;
|
|
398
|
final int BACK = 5;
|
|
399
|
|
|
400
|
// 'I' - interior, theoretically can happen
|
|
401
|
final char[] FACE_NAMES = { 'R', 'L', 'U', 'D', 'F', 'B', 'I'};
|
|
402
|
|
|
403
|
face = UP;
|
|
404
|
|
|
405
|
for(int i=0; i<len; i++)
|
|
406
|
{
|
|
407
|
row = i/layers;
|
|
408
|
col = i%layers;
|
|
409
|
|
|
410
|
cubitIndex = col<layers-1 ? (layers-1)*(layers+4*col) + row : 6*layers*layers - 13*layers + 8 + row;
|
|
411
|
color = getCubitFaceColorIndex(cubitIndex,face);
|
|
412
|
objectString.append(FACE_NAMES[color]);
|
|
413
|
}
|
|
414
|
|
|
415
|
face = RIGHT;
|
|
416
|
|
|
417
|
for(int i=0; i<len; i++)
|
|
418
|
{
|
|
419
|
cubitIndex = 6*layers*layers - 12*layers +7 - i;
|
|
420
|
color = getCubitFaceColorIndex(cubitIndex,face);
|
|
421
|
objectString.append(FACE_NAMES[color]);
|
|
422
|
}
|
|
423
|
|
|
424
|
face = FRONT;
|
|
425
|
|
|
426
|
for(int i=0; i<len; i++)
|
|
427
|
{
|
|
428
|
row = i/layers;
|
|
429
|
col = i%layers;
|
|
430
|
|
|
431
|
if( col==layers-1 ) cubitIndex = 6*layers*layers - 11*layers + 6 -i;
|
|
432
|
else if( col==0 ) cubitIndex = layers*layers - 1 - i;
|
|
433
|
else
|
|
434
|
{
|
|
435
|
if( row==0 ) cubitIndex = layers*layers + layers-1 + 4*(col-1)*(layers-1) + 2*(layers-2) + layers;
|
|
436
|
else cubitIndex = layers*layers + layers-1 + 4*(col-1)*(layers-1) + 2*(layers-1-row);
|
|
437
|
}
|
|
438
|
|
|
439
|
color = getCubitFaceColorIndex(cubitIndex,face);
|
|
440
|
objectString.append(FACE_NAMES[color]);
|
|
441
|
}
|
|
442
|
|
|
443
|
face = DOWN;
|
|
444
|
|
|
445
|
for(int i=0; i<len; i++)
|
|
446
|
{
|
|
447
|
row = i/layers;
|
|
448
|
col = i%layers;
|
|
449
|
|
|
450
|
cubitIndex = col==0 ? layers-1-row : layers*layers + layers-1 + 4*(col-1)*(layers-1) - row;
|
|
451
|
color = getCubitFaceColorIndex(cubitIndex,face);
|
|
452
|
objectString.append(FACE_NAMES[color]);
|
|
453
|
}
|
|
454
|
|
|
455
|
face = LEFT;
|
|
456
|
|
|
457
|
for(int i=0; i<len; i++)
|
|
458
|
{
|
|
459
|
row = i/layers;
|
|
460
|
col = i%layers;
|
|
461
|
|
|
462
|
cubitIndex = (layers-1-row)*layers + col;
|
|
463
|
color = getCubitFaceColorIndex(cubitIndex,face);
|
|
464
|
objectString.append(FACE_NAMES[color]);
|
|
465
|
}
|
|
466
|
|
|
467
|
face = BACK;
|
|
468
|
|
|
469
|
for(int i=0; i<len; i++)
|
|
470
|
{
|
|
471
|
row = i/layers;
|
|
472
|
col = i%layers;
|
|
473
|
|
|
474
|
if( col==layers-1 ) cubitIndex = layers*(layers-1-row);
|
|
475
|
else if( col==0 ) cubitIndex = 5*layers*layers - 12*layers + 8 + (layers-1-row)*layers;
|
|
476
|
else
|
|
477
|
{
|
|
478
|
if( row==layers-1 ) cubitIndex = layers*layers + 4*(layers-2-col)*(layers-1);
|
|
479
|
else cubitIndex = layers*layers + 4*(layers-2-col)*(layers-1) + layers + 2*(layers-2-row);
|
|
480
|
}
|
|
481
|
|
|
482
|
color = getCubitFaceColorIndex(cubitIndex,face);
|
|
483
|
objectString.append(FACE_NAMES[color]);
|
|
484
|
}
|
|
485
|
|
|
486
|
return objectString.toString();
|
|
487
|
}
|
|
488
|
|
|
489
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
490
|
|
|
491
|
public int getObjectName(int numLayers)
|
|
492
|
{
|
|
493
|
switch(numLayers)
|
|
494
|
{
|
|
495
|
case 2: return R.string.cube2;
|
|
496
|
case 3: return R.string.cube3;
|
|
497
|
case 4: return R.string.cube4;
|
|
498
|
case 5: return R.string.cube5;
|
|
499
|
}
|
|
500
|
return R.string.cube3;
|
|
501
|
}
|
|
502
|
|
|
503
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
504
|
|
|
505
|
public int getInventor(int numLayers)
|
|
506
|
{
|
|
507
|
switch(numLayers)
|
|
508
|
{
|
|
509
|
case 2: return R.string.cube2_inventor;
|
|
510
|
case 3: return R.string.cube3_inventor;
|
|
511
|
case 4: return R.string.cube4_inventor;
|
|
512
|
case 5: return R.string.cube5_inventor;
|
|
513
|
}
|
|
514
|
return R.string.cube3_inventor;
|
|
515
|
}
|
|
516
|
|
|
517
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
518
|
|
|
519
|
public int getComplexity(int numLayers)
|
|
520
|
{
|
|
521
|
switch(numLayers)
|
|
522
|
{
|
|
523
|
case 2: return 4;
|
|
524
|
case 3: return 6;
|
|
525
|
case 4: return 8;
|
|
526
|
case 5: return 10;
|
|
527
|
}
|
|
528
|
return 6;
|
|
529
|
}
|
|
530
|
}
|