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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2021 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.helpers;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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import java.util.ArrayList;
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public class BandagedStateGraph
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{
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private static final int CORNER_S = 0;
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private static final int CORNER_X = 1;
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private static final int CORNER_Y = 2;
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private static final int CORNER_Z = 3;
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private static final int CENTER_0 = 0;
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private static final int CENTER_1 = 1;
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private static final int CENTER_2 = 2;
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private static final int CENTER_3 = 3;
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private int mID;
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private final int[] mMoves;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public BandagedStateGraph(int id)
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{
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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()
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{
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ArrayList<BandagedStateGraph> graph;
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int id = 0;
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int id1 = setCenter(id , CENTER_2, 0);
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int id2 = setCenter(id1 , CENTER_2, 1);
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int id3 = setCenter(id2 , CENTER_3, 2);
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int id4 = setCenter(id3 , CENTER_2, 3);
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int id5 = setCorner(id4 , CORNER_X, 0);
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int id6 = setCorner(id5 , CORNER_Y, 1);
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int id7 = setCorner(id6 , CORNER_X, 2);
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int id8 = setCorner(id7 , CORNER_Z, 3);
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int id9 = setCorner(id8 , CORNER_Y, 4);
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int id10= setCorner(id9 , CORNER_Y, 5);
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int id11= setCorner(id10, CORNER_S, 6);
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int id12= setCorner(id11, CORNER_Z, 7);
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BandagedStateGraph bsg = new BandagedStateGraph(id12);
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graph = new ArrayList<>();
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graph.add(bsg);
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insertChildren(graph,id12);
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pruneGraph(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<BandagedStateGraph> list, int id)
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{
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BandagedStateGraph 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<12; i++)
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{
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int move = bsg.getMove(i);
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if( move!=0 )
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{
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BandagedStateGraph tmp = findState(list,move);
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if( tmp==null )
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{
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tmp = new BandagedStateGraph(move);
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list.add(tmp);
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insertChildren(list,move);
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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<BandagedStateGraph> list)
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{
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int num = list.size(), numAxis;
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boolean pruned = false;
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BandagedStateGraph 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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numAxis = bsg.numAxis();
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if( numAxis<2 )
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{
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list.remove(i);
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int id = bsg.getID();
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pruned = true;
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remapID(list,id,0);
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break;
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}
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}
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if( pruned ) pruneGraph(list);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static void remapGraph(ArrayList<BandagedStateGraph> list)
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{
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int id, num = list.size();
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BandagedStateGraph 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<BandagedStateGraph> list, int id, int newId)
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{
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BandagedStateGraph 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<12; 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 BandagedStateGraph findState(ArrayList<BandagedStateGraph> list, int id)
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{
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BandagedStateGraph 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.getID() == 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(BandagedStateGraph bsg)
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{
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String x = getTable(bsg,0);
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String y = getTable(bsg,3);
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String z = getTable(bsg,6);
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return " new BandagedState( "+x+", "+y+", "+z+" ),";
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String getTable(BandagedStateGraph sc, int index)
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{
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String ret = "";
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if( index==0 || index==3 )
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{
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int m0 = sc.getMove(index );
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int m1 = sc.getMove(index+1);
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int m2 = sc.getMove(index+2);
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if( m0==0 && m1==0 && m2==0 ) return formatL("null");
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if( m0!=0 ) ret += formatRet(ret,2, 1,m0);
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if( m1!=0 ) ret += formatRet(ret,2, 2,m1);
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if( m2!=0 ) ret += formatRet(ret,2,-1,m2);
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}
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else
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{
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int m0 = sc.getMove(index );
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int m1 = sc.getMove(index+1);
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int m2 = sc.getMove(index+2);
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int m3 = sc.getMove(index+3);
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int m4 = sc.getMove(index+4);
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int m5 = sc.getMove(index+5);
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if( m0==0 && m1==0 && m2==0 && m3==0 && m4==0 && m5==0 )
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{
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return formatL("null");
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}
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if( m0!=0 ) ret += formatRet(ret,0, 1,m0);
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if( m1!=0 ) ret += formatRet(ret,0, 2,m1);
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if( m2!=0 ) ret += formatRet(ret,0,-1,m2);
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if( m3!=0 ) ret += formatRet(ret,2, 1,m3);
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if( m4!=0 ) ret += formatRet(ret,2, 2,m4);
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if( m5!=0 ) ret += formatRet(ret,2,-1,m5);
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}
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return formatL("new int[] {" + ret + "}");
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String formatRet(String str, int row, int angle, int 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 = 38;
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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 int 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(int id)
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{
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mID = id;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int getMove(int index)
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{
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return (index>=0 && index<12) ? mMoves[index] : -1;
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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]!=0 || mMoves[ 1]!=0 || mMoves[ 2]!=0 ) num++;
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if( mMoves[ 3]!=0 || mMoves[ 4]!=0 || mMoves[ 5]!=0 ) num++;
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if( mMoves[ 6]!=0 || mMoves[ 7]!=0 || mMoves[ 8]!=0 ) num++;
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if( mMoves[ 9]!=0 || mMoves[10]!=0 || mMoves[11]!=0 ) num++;
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return num;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void setMove(int index, int newMove)
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{
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if( index>=0 && index<12 ) mMoves[index] = newMove;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String debug(int id)
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{
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int ce0 = getCenter(id,0);
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int ce1 = getCenter(id,1);
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int ce2 = getCenter(id,2);
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int ce3 = getCenter(id,3);
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int co0 = getCorner(id,0);
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int co1 = getCorner(id,1);
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int co2 = getCorner(id,2);
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int co3 = getCorner(id,3);
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int co4 = getCorner(id,4);
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int co5 = getCorner(id,5);
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int co6 = getCorner(id,6);
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int co7 = getCorner(id,7);
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String center = centerString(ce0) + centerString(ce1) + centerString(ce2) + centerString(ce3);
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String corner = cornerString(co0) + cornerString(co1) + cornerString(co2) + cornerString(co3) +
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cornerString(co4) + cornerString(co5) + cornerString(co6) + cornerString(co7);
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return center + " -" + corner;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String centerString(int center)
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{
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return " "+center;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String cornerString(int corner)
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{
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switch(corner)
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{
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case CORNER_S: return " S";
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case CORNER_X: return " X";
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case CORNER_Y: return " Y";
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case CORNER_Z: return " Z";
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}
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return "?";
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static int[] createMoves(int id)
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{
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int[] ret = new int[12];
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boolean moveX = xPossible(id);
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boolean moveY = yPossible(id);
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boolean moveZ0 = z0Possible(id);
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boolean moveZ2 = z2Possible(id);
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if( moveX ) createXmoves(id,ret);
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else { ret[ 0] = 0; ret[ 1] = 0; ret[ 2] = 0; }
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if( moveY ) createYmoves(id,ret);
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else { ret[ 3] = 0; ret[ 4] = 0; ret[ 5] = 0; }
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if( moveZ0) createZ0moves(id,ret);
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else { ret[ 6] = 0; ret[ 7] = 0; ret[ 8] = 0; }
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if( moveZ2) createZ2moves(id,ret);
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else { ret[ 9] = 0; ret[10] = 0; ret[11] = 0; }
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static boolean xPossible(int id)
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{
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if( getCorner(id,4)==CORNER_X ) return false;
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if( getCorner(id,5)==CORNER_X ) return false;
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if( getCorner(id,6)==CORNER_X ) return false;
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if( getCorner(id,7)==CORNER_X ) return false;
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if( getCenter(id,1)==CENTER_1 ) return false;
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if( getCenter(id,2)==CENTER_1 ) return false;
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if( getCenter(id,3)==CENTER_1 ) return false;
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401
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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406
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private static boolean yPossible(int id)
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{
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if( getCorner(id,2)==CORNER_Y ) return false;
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if( getCorner(id,3)==CORNER_Y ) return false;
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if( getCorner(id,6)==CORNER_Y ) return false;
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if( getCorner(id,7)==CORNER_Y ) return false;
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if( getCenter(id,0)==CENTER_0 ) return false;
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if( getCenter(id,2)==CENTER_0 ) return false;
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if( getCenter(id,3)==CENTER_0 ) return false;
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static boolean z0Possible(int id)
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{
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if( getCorner(id,0)==CORNER_Z ) return false;
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if( getCorner(id,2)==CORNER_Z ) return false;
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if( getCorner(id,4)==CORNER_Z ) return false;
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if( getCorner(id,6)==CORNER_Z ) return false;
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if( getCenter(id,0)==CENTER_1 ) return false;
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if( getCenter(id,1)==CENTER_0 ) return false;
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return true;
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}
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435
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436
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///////////////////////////////////////////////////////////////////////////////////////////////////
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437
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private static boolean z2Possible(int id)
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{
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if( getCorner(id,1)==CORNER_Z ) return false;
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if( getCorner(id,3)==CORNER_Z ) return false;
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if( getCorner(id,5)==CORNER_Z ) return false;
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if( getCorner(id,7)==CORNER_Z ) return false;
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if( getCenter(id,0)==CENTER_3 ) return false;
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if( getCenter(id,1)==CENTER_2 ) return false;
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return true;
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}
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450
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///////////////////////////////////////////////////////////////////////////////////////////////////
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452
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453
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private static int getCorner(int id, int index)
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454
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{
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return (id>>(14-2*index))&3;
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}
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457
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458
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///////////////////////////////////////////////////////////////////////////////////////////////////
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459
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460
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private static int getCenter(int id, int index)
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{
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return (id>>(22-2*index))&3;
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}
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464
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|
465
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
466
|
|
467
|
private static int setCorner(int id, int corner, int index)
|
468
|
{
|
469
|
return id + ((corner-getCorner(id,index))<<(14-2*index));
|
470
|
}
|
471
|
|
472
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
473
|
|
474
|
private static int setCenter(int id, int center, int index)
|
475
|
{
|
476
|
return id + ((center-getCenter(id,index))<<(22-2*index));
|
477
|
}
|
478
|
|
479
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
480
|
|
481
|
private static void createXmoves(int id, int[] moves)
|
482
|
{
|
483
|
int id1 = rotateX(id);
|
484
|
moves[0] = id1;
|
485
|
int id2 = rotateX(id1);
|
486
|
moves[1] = id2;
|
487
|
int id3 = rotateX(id2);
|
488
|
moves[2] = id3;
|
489
|
}
|
490
|
|
491
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
492
|
|
493
|
private static void createYmoves(int id, int[] moves)
|
494
|
{
|
495
|
int id1 = rotateY(id);
|
496
|
moves[3] = id1;
|
497
|
int id2 = rotateY(id1);
|
498
|
moves[4] = id2;
|
499
|
int id3 = rotateY(id2);
|
500
|
moves[5] = id3;
|
501
|
}
|
502
|
|
503
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
504
|
|
505
|
private static void createZ0moves(int id, int[] moves)
|
506
|
{
|
507
|
int id1 = rotateZ0(id);
|
508
|
moves[6] = id1;
|
509
|
int id2 = rotateZ0(id1);
|
510
|
moves[7] = id2;
|
511
|
int id3 = rotateZ0(id2);
|
512
|
moves[8] = id3;
|
513
|
}
|
514
|
|
515
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
516
|
|
517
|
private static void createZ2moves(int id, int[] moves)
|
518
|
{
|
519
|
int id1 = rotateZ2(id);
|
520
|
moves[ 9] = id1;
|
521
|
int id2 = rotateZ2(id1);
|
522
|
moves[10] = id2;
|
523
|
int id3 = rotateZ2(id2);
|
524
|
moves[11] = id3;
|
525
|
}
|
526
|
|
527
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
528
|
|
529
|
private static int rotateX(int id)
|
530
|
{
|
531
|
int newCorner4 = rotCornerX(getCorner(id,5));
|
532
|
int newCorner5 = rotCornerX(getCorner(id,7));
|
533
|
int newCorner6 = rotCornerX(getCorner(id,4));
|
534
|
int newCorner7 = rotCornerX(getCorner(id,6));
|
535
|
int newCenter = rotCenter (getCenter(id,0));
|
536
|
|
537
|
int id1 = setCorner(id ,newCorner4,4);
|
538
|
int id2 = setCorner(id1,newCorner5,5);
|
539
|
int id3 = setCorner(id2,newCorner6,6);
|
540
|
int id4 = setCorner(id3,newCorner7,7);
|
541
|
int id5 = setCenter(id4,newCenter ,0);
|
542
|
|
543
|
return id5;
|
544
|
}
|
545
|
|
546
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
547
|
|
548
|
private static int rotateY(int id)
|
549
|
{
|
550
|
int newCorner2 = rotCornerY(getCorner(id,6));
|
551
|
int newCorner3 = rotCornerY(getCorner(id,2));
|
552
|
int newCorner6 = rotCornerY(getCorner(id,7));
|
553
|
int newCorner7 = rotCornerY(getCorner(id,3));
|
554
|
int newCenter = rotCenter (getCenter(id,1));
|
555
|
|
556
|
int id1 = setCorner(id ,newCorner2,2);
|
557
|
int id2 = setCorner(id1,newCorner3,3);
|
558
|
int id3 = setCorner(id2,newCorner6,6);
|
559
|
int id4 = setCorner(id3,newCorner7,7);
|
560
|
int id5 = setCenter(id4,newCenter ,1);
|
561
|
|
562
|
return id5;
|
563
|
}
|
564
|
|
565
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
566
|
|
567
|
private static int rotateZ0(int id)
|
568
|
{
|
569
|
int newCorner0 = rotCornerZ(getCorner(id,2));
|
570
|
int newCorner2 = rotCornerZ(getCorner(id,6));
|
571
|
int newCorner4 = rotCornerZ(getCorner(id,0));
|
572
|
int newCorner6 = rotCornerZ(getCorner(id,4));
|
573
|
int newCenter = rotCenter (getCenter(id,2));
|
574
|
|
575
|
int id1 = setCorner(id ,newCorner0,0);
|
576
|
int id2 = setCorner(id1,newCorner2,2);
|
577
|
int id3 = setCorner(id2,newCorner4,4);
|
578
|
int id4 = setCorner(id3,newCorner6,6);
|
579
|
int id5 = setCenter(id4,newCenter ,2);
|
580
|
|
581
|
return id5;
|
582
|
}
|
583
|
|
584
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
585
|
|
586
|
private static int rotateZ2(int id)
|
587
|
{
|
588
|
int newCorner1 = rotCornerZ(getCorner(id,3));
|
589
|
int newCorner3 = rotCornerZ(getCorner(id,7));
|
590
|
int newCorner5 = rotCornerZ(getCorner(id,1));
|
591
|
int newCorner7 = rotCornerZ(getCorner(id,5));
|
592
|
int newCenter = rotCenter (getCenter(id,3));
|
593
|
|
594
|
int id1 = setCorner(id ,newCorner1,1);
|
595
|
int id2 = setCorner(id1,newCorner3,3);
|
596
|
int id3 = setCorner(id2,newCorner5,5);
|
597
|
int id4 = setCorner(id3,newCorner7,7);
|
598
|
int id5 = setCenter(id4,newCenter ,3);
|
599
|
|
600
|
return id5;
|
601
|
}
|
602
|
|
603
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
604
|
|
605
|
private static int rotCornerX(int corner)
|
606
|
{
|
607
|
switch(corner)
|
608
|
{
|
609
|
case CORNER_S: return CORNER_S;
|
610
|
case CORNER_X: android.util.Log.e("DIST", "rotateX: ERROR");
|
611
|
return CORNER_S;
|
612
|
case CORNER_Y: return CORNER_Z;
|
613
|
case CORNER_Z: return CORNER_Y;
|
614
|
}
|
615
|
|
616
|
return CORNER_S;
|
617
|
}
|
618
|
|
619
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
620
|
|
621
|
private static int rotCornerY(int corner)
|
622
|
{
|
623
|
switch(corner)
|
624
|
{
|
625
|
case CORNER_S: return CORNER_S;
|
626
|
case CORNER_X: return CORNER_Z;
|
627
|
case CORNER_Y: android.util.Log.e("DIST", "rotateY: ERROR");
|
628
|
return CORNER_S;
|
629
|
case CORNER_Z: return CORNER_X;
|
630
|
}
|
631
|
|
632
|
return CORNER_S;
|
633
|
}
|
634
|
|
635
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
636
|
|
637
|
private static int rotCornerZ(int corner)
|
638
|
{
|
639
|
switch(corner)
|
640
|
{
|
641
|
case CORNER_S: return CORNER_S;
|
642
|
case CORNER_X: return CORNER_Y;
|
643
|
case CORNER_Y: return CORNER_X;
|
644
|
case CORNER_Z: android.util.Log.e("DIST", "rotateZ: ERROR");
|
645
|
return CORNER_S;
|
646
|
}
|
647
|
|
648
|
return CORNER_S;
|
649
|
}
|
650
|
|
651
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
652
|
|
653
|
private static int rotCenter(int center)
|
654
|
{
|
655
|
switch(center)
|
656
|
{
|
657
|
case CENTER_0: return CENTER_3;
|
658
|
case CENTER_1: return CENTER_0;
|
659
|
case CENTER_2: return CENTER_1;
|
660
|
case CENTER_3: return CENTER_2;
|
661
|
}
|
662
|
|
663
|
return CENTER_0;
|
664
|
}
|
665
|
}
|