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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2022 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.objectlib.scrambling;
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import java.util.ArrayList;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Producer of the ScrambleStateGraph for any bandaged 3x3x3.
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public class ScrambleStateBandaged3x3
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{
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private static final long INVALID_MOVE = -1;
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private static final int NUM_MOVES = 27;
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private static final int AXIS_X = 0;
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private static final int AXIS_Y = 1;
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private static final int AXIS_Z = 2;
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private static final int LAYER_L = 0;
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private static final int LAYER_M = 1;
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private static final int LAYER_R = 2;
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private long mID;
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private int mDistance;
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private final long[] mMoves;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public ScrambleStateBandaged3x3(long id)
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{
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mDistance = -1;
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mID = id;
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mMoves = createMoves(mID);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public static void computeGraph(long id)
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{
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ScrambleStateBandaged3x3 bsg = new ScrambleStateBandaged3x3(id);
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ArrayList<ScrambleStateBandaged3x3> graph = new ArrayList<>();
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graph.add(bsg);
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insertChildren(graph,id);
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pruneGraph(graph,id,false);
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computeDistance(graph,id,0);
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removeDisconnectedParts(graph);
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remapGraph(graph);
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int num = graph.size();
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android.util.Log.e("D", "\n"+num+" states\n");
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for(int i=0; i<num; i++)
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{
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bsg = graph.get(i);
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android.util.Log.e("D", formatMoves(bsg));
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void insertChildren(ArrayList<ScrambleStateBandaged3x3> list, long id)
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{
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ScrambleStateBandaged3x3 bsg = findState(list,id);
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if( bsg==null )
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{
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android.util.Log.e("D", "error: "+id+" doesn't exist");
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return;
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}
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for(int i=0; i<NUM_MOVES; i++)
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{
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long move = bsg.getMove(i);
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if( move!=INVALID_MOVE )
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{
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ScrambleStateBandaged3x3 tmp = findState(list,move);
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if( tmp==null )
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{
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tmp = new ScrambleStateBandaged3x3(move);
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list.add(tmp);
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insertChildren(list,move);
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}
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else if( tmp.mID != move )
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{
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bsg.setMove(i,tmp.mID);
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}
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void pruneGraph(ArrayList<ScrambleStateBandaged3x3> list, long id, boolean startingPrunedAlready)
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{
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int num = list.size();
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boolean pruned = false;
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ScrambleStateBandaged3x3 bsg;
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for(int i=0; i<num; i++)
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{
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bsg = list.get(i);
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if( bsg.numAxis()<2 )
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{
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long prunedID = bsg.getID();
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if( id!=prunedID || !startingPrunedAlready )
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{
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startingPrunedAlready = true;
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remapID(list,prunedID,INVALID_MOVE);
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}
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// do not remove the starting point, even if it does have only 1 axis
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if( id!=prunedID )
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{
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list.remove(i);
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pruned = true;
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break;
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}
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}
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}
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if( pruned ) pruneGraph(list,id,startingPrunedAlready);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void remapGraph(ArrayList<ScrambleStateBandaged3x3> list)
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{
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long id;
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int num = list.size();
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ScrambleStateBandaged3x3 bsg;
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for(int i=0; i<num; i++ )
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{
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bsg = list.get(i);
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id = bsg.getID();
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bsg.setID(i);
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remapID(list,id,i);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void remapID(ArrayList<ScrambleStateBandaged3x3> list, long id, long newId)
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{
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ScrambleStateBandaged3x3 bsg;
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int size = list.size();
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for(int i=0; i<size; i++)
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{
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bsg = list.get(i);
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for(int j=0; j<NUM_MOVES; j++)
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{
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if( bsg.getMove(j)==id ) bsg.setMove(j,newId);
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void computeDistance(ArrayList<ScrambleStateBandaged3x3> list, long id, int distance)
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{
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ScrambleStateBandaged3x3 state = findState(list,id);
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if( state==null )
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{
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android.util.Log.e("D", "error: "+id+" doesn't exist");
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return;
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}
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if( state.mDistance<0 )
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{
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state.mDistance = distance;
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for(int i=0; i<NUM_MOVES; i++)
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{
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long move = state.getMove(i);
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if( move!=INVALID_MOVE )
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{
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computeDistance(list,move,distance+1);
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}
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void removeDisconnectedParts(ArrayList<ScrambleStateBandaged3x3> list)
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{
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int num = list.size();
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ScrambleStateBandaged3x3 bsg;
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for(int i=0; i<num; i++)
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{
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bsg = list.get(i);
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if( bsg.mDistance<0 )
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{
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list.remove(i);
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i--;
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num--;
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static ScrambleStateBandaged3x3 findState(ArrayList<ScrambleStateBandaged3x3> list, long id)
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{
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ScrambleStateBandaged3x3 bsg;
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int num = list.size();
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for(int i=0; i<num; i++)
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{
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bsg= list.get(i);
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if( bsg.mID==id ) return bsg;
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}
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return null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String formatMoves(ScrambleStateBandaged3x3 bsg)
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{
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String x = getTable(bsg, 0);
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String y = getTable(bsg, 9);
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String z = getTable(bsg,18);
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return " new ScrambleState( new int[][] { "+x+", "+y+", "+z+" } ),";
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String getTable(ScrambleStateBandaged3x3 sc, int index)
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{
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long m0 = sc.getMove(index );
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long m1 = sc.getMove(index+1);
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long m2 = sc.getMove(index+2);
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long m3 = sc.getMove(index+3);
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long m4 = sc.getMove(index+4);
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long m5 = sc.getMove(index+5);
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long m6 = sc.getMove(index+6);
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long m7 = sc.getMove(index+7);
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long m8 = sc.getMove(index+8);
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String ret = "";
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if( m0!=INVALID_MOVE ) ret += formatRet(ret,0,-1,m0);
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if( m1!=INVALID_MOVE ) ret += formatRet(ret,0, 2,m1);
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if( m2!=INVALID_MOVE ) ret += formatRet(ret,0, 1,m2);
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if( m3!=INVALID_MOVE ) ret += formatRet(ret,1,-1,m3);
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if( m4!=INVALID_MOVE ) ret += formatRet(ret,1, 2,m4);
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if( m5!=INVALID_MOVE ) ret += formatRet(ret,1, 1,m5);
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if( m6!=INVALID_MOVE ) ret += formatRet(ret,2,-1,m6);
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if( m7!=INVALID_MOVE ) ret += formatRet(ret,2, 2,m7);
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if( m8!=INVALID_MOVE ) ret += formatRet(ret,2, 1,m8);
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return formatL("{" + ret + "}");
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String formatRet(String str, int row, int angle, long id)
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{
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String ret = str.length()!=0 ? ",":"";
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ret += row;
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ret += angle<0 ? "," : ", ";
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ret += angle;
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if( id< 10 ) ret += (", "+id);
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else if( id<100 ) ret += (", " +id);
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else ret += ("," +id);
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static final int LENGTH = 28;
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private static String formatL(String input)
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{
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int len = input.length();
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String ret = input;
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for(int i=0 ;i<LENGTH-len; i++) ret += " ";
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private long getID()
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{
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return mID;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void setID(long id)
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{
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mID = id;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private long getMove(int index)
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{
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return (index>=0 && index<NUM_MOVES) ? mMoves[index] : INVALID_MOVE;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int numAxis()
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{
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int num = 0;
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if( mMoves[ 0]!=INVALID_MOVE || mMoves[ 1]!=INVALID_MOVE || mMoves[ 2]!=INVALID_MOVE ||
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mMoves[ 3]!=INVALID_MOVE || mMoves[ 4]!=INVALID_MOVE || mMoves[ 5]!=INVALID_MOVE ||
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mMoves[ 6]!=INVALID_MOVE || mMoves[ 7]!=INVALID_MOVE || mMoves[ 8]!=INVALID_MOVE ) num++;
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if( mMoves[ 9]!=INVALID_MOVE || mMoves[10]!=INVALID_MOVE || mMoves[11]!=INVALID_MOVE ||
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mMoves[12]!=INVALID_MOVE || mMoves[13]!=INVALID_MOVE || mMoves[14]!=INVALID_MOVE ||
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mMoves[15]!=INVALID_MOVE || mMoves[16]!=INVALID_MOVE || mMoves[17]!=INVALID_MOVE ) num++;
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if( mMoves[18]!=INVALID_MOVE || mMoves[19]!=INVALID_MOVE || mMoves[20]!=INVALID_MOVE ||
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mMoves[21]!=INVALID_MOVE || mMoves[22]!=INVALID_MOVE || mMoves[23]!=INVALID_MOVE ||
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mMoves[24]!=INVALID_MOVE || mMoves[25]!=INVALID_MOVE || mMoves[26]!=INVALID_MOVE ) num++;
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return num;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void setMove(int index, long newMove)
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{
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if( index>=0 && index<NUM_MOVES ) mMoves[index] = newMove;
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}
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361
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///////////////////////////////////////////////////////////////////////////////////////////////////
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363
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private static long[] createMoves(long id)
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{
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long[] ret = new long[NUM_MOVES];
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int index = 0;
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368
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for(int axis=0; axis<3; axis++)
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for(int layer=0; layer<3; layer++)
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{
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long x1 = turn(id,axis,layer);
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if( x1!=INVALID_MOVE )
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{
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long x2 = turn(x1,axis,layer);
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long x3 = turn(x2,axis,layer);
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378
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ret[index ] = x1;
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ret[index+1] = x2;
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ret[index+2] = x3;
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}
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else
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{
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ret[index ] = INVALID_MOVE;
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ret[index+1] = INVALID_MOVE;
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ret[index+2] = INVALID_MOVE;
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}
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389
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index+=3;
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}
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return ret;
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}
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395
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///////////////////////////////////////////////////////////////////////////////////////////////////
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397
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// Definition of the id: it's an 'Andreas signature' of a bandaged cube.
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398
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// https://twistypuzzles.com/forum/viewtopic.php?t=24452&sid=f3b4ac0c611c4713e4d7840f1aabbb0b&start=350
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399
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400
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private static long turn(long id, int axis, int layer)
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401
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{
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402
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switch(axis)
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403
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{
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404
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case AXIS_X: switch(layer)
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405
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{
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406
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case LAYER_L: if( getBit(id, 1)==1 || getBit(id, 6)==1 || getBit(id,11)==1 ||
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407
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getBit(id,22)==1 || getBit(id,27)==1 || getBit(id,32)==1 ||
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408
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getBit(id,43)==1 || getBit(id,48)==1 || getBit(id,53)==1 ) return INVALID_MOVE;
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409
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410
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long x1 = cycle(id,9,14,46,41);
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411
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long x2 = cycle(x1,4,35,51,20);
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412
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return cycle(x2,17,25,38,30);
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413
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414
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case LAYER_M: if( getBit(id, 1)==1 || getBit(id, 6)==1 || getBit(id,11)==1 ||
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415
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getBit(id,22)==1 || getBit(id,27)==1 || getBit(id,32)==1 ||
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416
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getBit(id,43)==1 || getBit(id,48)==1 || getBit(id,53)==1 ||
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417
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getBit(id, 0)==1 || getBit(id, 5)==1 || getBit(id,10)==1 ||
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418
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getBit(id,21)==1 || getBit(id,26)==1 || getBit(id,31)==1 ||
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419
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getBit(id,42)==1 || getBit(id,47)==1 || getBit(id,52)==1 ) return INVALID_MOVE;
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420
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421
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long x4 = cycle(id,8,13,45,40);
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422
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long x5 = cycle(x4,3,34,50,19);
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423
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return cycle(x5,16,24,37,29);
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424
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425
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case LAYER_R: if( getBit(id, 0)==1 || getBit(id, 5)==1 || getBit(id,10)==1 ||
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426
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getBit(id,21)==1 || getBit(id,26)==1 || getBit(id,31)==1 ||
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427
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getBit(id,42)==1 || getBit(id,47)==1 || getBit(id,52)==1 ) return INVALID_MOVE;
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428
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429
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long x7 = cycle(id,7,12,44,39);
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430
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long x8 = cycle(x7,2,33,49,18);
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431
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return cycle(x8,15,23,36,28);
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432
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}
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433
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434
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case AXIS_Y: switch(layer)
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435
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{
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436
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case LAYER_L: if( getBit(id,12)==1 || getBit(id,13)==1 || getBit(id,14)==1 ||
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437
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getBit(id,15)==1 || getBit(id,16)==1 || getBit(id,17)==1 ||
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438
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getBit(id,18)==1 || getBit(id,19)==1 || getBit(id,20)==1 ) return INVALID_MOVE;
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439
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440
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long y1 = cycle(id,1,9,10,2);
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441
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long y2 = cycle(y1,0,4,11,7);
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442
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return cycle(y2,3,6,8,5);
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443
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444
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case LAYER_M: if( getBit(id,12)==1 || getBit(id,13)==1 || getBit(id,14)==1 ||
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445
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getBit(id,15)==1 || getBit(id,16)==1 || getBit(id,17)==1 ||
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446
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getBit(id,18)==1 || getBit(id,19)==1 || getBit(id,20)==1 ||
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447
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getBit(id,33)==1 || getBit(id,34)==1 || getBit(id,35)==1 ||
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448
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getBit(id,36)==1 || getBit(id,37)==1 || getBit(id,38)==1 ||
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449
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getBit(id,39)==1 || getBit(id,40)==1 || getBit(id,41)==1 ) return INVALID_MOVE;
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450
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451
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long y4 = cycle(id,21,25,32,28);
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452
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long y5 = cycle(y4,22,30,31,23);
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453
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return cycle(y5,24,27,29,26);
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454
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455
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case LAYER_R: if( getBit(id,33)==1 || getBit(id,34)==1 || getBit(id,35)==1 ||
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456
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getBit(id,36)==1 || getBit(id,37)==1 || getBit(id,38)==1 ||
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457
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getBit(id,39)==1 || getBit(id,40)==1 || getBit(id,41)==1 ) return INVALID_MOVE;
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458
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459
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long y7 = cycle(id,42,46,53,49);
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460
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long y8 = cycle(y7,43,51,52,44);
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461
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return cycle(y8,45,48,50,47);
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462
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}
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463
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464
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case AXIS_Z: switch(layer)
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465
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{
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466
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case LAYER_L: if( getBit(id, 7)==1 || getBit(id, 8)==1 || getBit(id, 9)==1 ||
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467
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getBit(id,28)==1 || getBit(id,29)==1 || getBit(id,30)==1 ||
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468
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getBit(id,49)==1 || getBit(id,50)==1 || getBit(id,51)==1 ) return INVALID_MOVE;
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469
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470
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long z1 = cycle(id,10,20,53,39);
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471
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long z2 = cycle(z1,11,41,52,18);
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472
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return cycle(z2,19,32,40,31);
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473
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474
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case LAYER_M: if( getBit(id, 7)==1 || getBit(id, 8)==1 || getBit(id, 9)==1 ||
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475
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getBit(id,28)==1 || getBit(id,29)==1 || getBit(id,30)==1 ||
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476
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getBit(id,49)==1 || getBit(id,50)==1 || getBit(id,51)==1 ||
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477
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getBit(id, 2)==1 || getBit(id, 3)==1 || getBit(id, 4)==1 ||
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478
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getBit(id,23)==1 || getBit(id,24)==1 || getBit(id,25)==1 ||
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479
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getBit(id,44)==1 || getBit(id,45)==1 || getBit(id,46)==1 ) return INVALID_MOVE;
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480
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481
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long z4 = cycle(id,5,17,48,36);
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482
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long z5 = cycle(z4,6,38,47,15);
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483
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return cycle(z5,16,27,37,26);
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484
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|
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485
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case LAYER_R: if( getBit(id, 2)==1 || getBit(id, 3)==1 || getBit(id, 4)==1 ||
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486
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getBit(id,23)==1 || getBit(id,24)==1 || getBit(id,25)==1 ||
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487
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getBit(id,44)==1 || getBit(id,45)==1 || getBit(id,46)==1 ) return INVALID_MOVE;
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488
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489
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long z7 = cycle(id,0,14,43,33);
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490
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long z8 = cycle(z7,1,35,42,12);
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491
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return cycle(z8,13,22,34,21);
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492
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}
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493
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}
|
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494
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495
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return 0;
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496
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}
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|
497
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|
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498
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///////////////////////////////////////////////////////////////////////////////////////////////////
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499
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// bit b1 in place of b2 etc.
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|
500
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|
|
501
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private static long cycle(long id, int b1, int b2, int b3, int b4)
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502
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{
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503
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long bit1 = getBit(id,b1);
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504
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long bit2 = getBit(id,b2);
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505
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long bit3 = getBit(id,b3);
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506
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long bit4 = getBit(id,b4);
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507
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508
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long i1 = setBit(id,b2,bit1);
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509
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long i2 = setBit(i1,b3,bit2);
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510
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long i3 = setBit(i2,b4,bit3);
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511
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return setBit(i3,b1,bit4);
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512
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}
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|
513
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|
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514
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
515
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|
|
516
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private static long getBit(long id, int bit)
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517
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{
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518
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return (id>>bit)&0x1;
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519
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}
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|
520
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521
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///////////////////////////////////////////////////////////////////////////////////////////////////
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|
522
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523
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private static long setBit(long id, int bit, long value)
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524
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{
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525
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long old = getBit(id,bit);
|
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526
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527
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if( old!=value )
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528
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{
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529
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long diff = (1L<<bit);
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530
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id += (value==0 ? -diff : diff);
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531
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}
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532
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|
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533
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return id;
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534
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}
|
|
535
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|
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536
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
537
|
/*
|
|
538
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private void printMoves()
|
|
539
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{
|
|
540
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String moves = "";
|
|
541
|
|
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542
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for(int i=0; i<NUM_MOVES; i++)
|
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543
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{
|
|
544
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moves += (" " + mMoves[i]);
|
|
545
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}
|
|
546
|
|
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547
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android.util.Log.e("D", moves);
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|
548
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}
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|
549
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|
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550
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
551
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|
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552
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private static String printBits(long id)
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553
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{
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554
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String ret = "[";
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|
555
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boolean first = true;
|
|
556
|
|
|
557
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for(int i=0; i<64; i++)
|
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558
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{
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559
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if( ( (id>>i)&0x1)==1 )
|
|
560
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{
|
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561
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String num = (i<10 ? " "+i : ""+i);
|
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562
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|
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563
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if( first ) { ret += num; first=false; }
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|
564
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else ret += (","+num);
|
|
565
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}
|
|
566
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}
|
|
567
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|
|
568
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return ret + "]";
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|
569
|
}
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570
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*/
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571
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}
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