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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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import java.util.ArrayList;
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import java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// producer of the ScrambleStateGraph - but only for a single Twisty Puzzle, the 'Square-1'.
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public class ScrambleStateSquare1
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{
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private static final int INVALID_MOVE = -1;
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private static final int NUM_MOVES = 23;
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private int mDist;
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private boolean mFresh;
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private long mID;
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private final long[] mMoves;
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private final int[][] mPermittedAngles;
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private final int[] mCornerQuat, mTmp;
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// QUATS[i]*QUATS[j] = QUATS[QUAT_MULT[i][j]]
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static final int[][] QUAT_MULT = new int[][]
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{
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{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,},
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{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 12,},
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{ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 12, 13,},
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{ 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 15, 16, 17, 18, 19, 20, 21, 22, 23, 12, 13, 14,},
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{ 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 16, 17, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15,},
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{ 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 17, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16,},
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{ 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17,},
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{ 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 18,},
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{ 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 18, 19,},
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{ 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 21, 22, 23, 12, 13, 14, 15, 16, 17, 18, 19, 20,},
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{ 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 23, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,},
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{ 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,},
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{ 12, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1,},
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{ 13, 12, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2,},
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{ 14, 13, 12, 23, 22, 21, 20, 19, 18, 17, 16, 15, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3,},
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{ 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 17, 16, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4,},
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{ 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 17, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5,},
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{ 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6,},
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{ 18, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7,},
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{ 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8,},
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{ 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 21, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9,},
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{ 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10,},
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{ 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11,},
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{ 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,}
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};
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// quat indices that make corner cubits bandage the puzzle.
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private static final int[][] BAD_CORNER_QUATS = new int[][]
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{
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{ 2, 8,17,23},
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{ 5,11,14,20},
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public ScrambleStateSquare1(long id, int dist)
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{
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mCornerQuat = new int[8];
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mTmp = new int[8];
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mPermittedAngles = new int[2][12];
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mDist = dist;
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mFresh = true;
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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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private void setNotFresh()
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{
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mFresh = false;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean isFresh()
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{
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return mFresh;
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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<ScrambleStateSquare1> graph;
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ScrambleStateSquare1 bsg = new ScrambleStateSquare1(0,0);
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graph = new ArrayList<>();
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graph.add(bsg);
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android.util.Log.e("D", "INSERTING");
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insertChildren(graph,0);
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//android.util.Log.e("D", "PRUNING "+graph.size());
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// pruneGraph(graph);
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android.util.Log.e("D", "REMAPPING "+graph.size());
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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<ScrambleStateSquare1> list, long id)
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{
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ScrambleStateSquare1 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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int dist = bsg.mDist;
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if( dist>6 ) return;
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for(int i=0; i<NUM_MOVES; i++)
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{
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long moveID = bsg.getMoveID(i);
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if( moveID!=INVALID_MOVE )
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{
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ScrambleStateSquare1 tmp = findState(list,moveID);
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if( tmp==null )
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{
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tmp = new ScrambleStateSquare1(moveID,dist+1);
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list.add(tmp);
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}
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}
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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 moveID = bsg.getMoveID(i);
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if( moveID!=INVALID_MOVE )
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{
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ScrambleStateSquare1 tmp = findState(list,moveID);
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if( tmp.isFresh() )
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{
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tmp.setNotFresh();
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insertChildren(list,moveID);
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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<ScrambleStateSquare1> 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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ScrambleStateSquare1 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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long id = bsg.getID();
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pruned = true;
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remapID(list,id,INVALID_MOVE);
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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<ScrambleStateSquare1> list)
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{
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long id;
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int num = list.size();
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ScrambleStateSquare1 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<ScrambleStateSquare1> list, long id, long newId)
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{
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ScrambleStateSquare1 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.getMoveID(j)==id ) bsg.setMoveID(j,newId);
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static ScrambleStateSquare1 findState(ArrayList<ScrambleStateSquare1> list, long id)
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{
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ScrambleStateSquare1 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(ScrambleStateSquare1 bsg)
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{
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String x = getTable(bsg,0);
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String y = getTable(bsg,11);
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String z = getTable(bsg,12);
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//return " new ScrambleStateGraph( new int[][] { "+x+", "+y+", "+z+" } ),";
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long id = bsg.getID();
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return id+" "+x+" , "+y+" , "+z;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static String getTable(ScrambleStateSquare1 sc, int index)
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{
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String ret = "";
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long m;
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int half = (NUM_MOVES)/2;
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if( index==11 )
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{
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m = sc.getMoveID(index);
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if( m==INVALID_MOVE ) return formatL("{}");
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ret += formatRet(ret,0,1,m);
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}
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else
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{
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for(int i=0; i<half; i++)
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{
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m = sc.getMoveID(index+i);
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int row = index==0 ? 0:2;
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int angle = i+1;
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if( m!=INVALID_MOVE ) ret += formatRet(ret,row,angle,m);
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}
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}
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return formatL("{" + ret + "}");
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}
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304
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///////////////////////////////////////////////////////////////////////////////////////////////////
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307
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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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310
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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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328
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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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333
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///////////////////////////////////////////////////////////////////////////////////////////////////
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335
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336
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private long getID()
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337
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{
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338
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return mID;
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339
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}
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340
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///////////////////////////////////////////////////////////////////////////////////////////////////
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342
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343
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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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349
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350
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private long getMoveID(int index)
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351
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{
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352
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return (index>=0 && index<NUM_MOVES) ? mMoves[index] : -1;
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}
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354
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///////////////////////////////////////////////////////////////////////////////////////////////////
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356
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357
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private void setMoveID(int index, long newID)
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{
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359
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if( index>=0 && index<NUM_MOVES ) mMoves[index] = newID;
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360
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}
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361
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362
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///////////////////////////////////////////////////////////////////////////////////////////////////
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363
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364
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private int numAxis()
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365
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{
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366
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int num = 0;
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int half = (NUM_MOVES)/2;
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368
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369
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for(int i=0; i<half; i++)
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{
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371
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if( mMoves[i]!=INVALID_MOVE )
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{
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373
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num++;
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374
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break;
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375
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}
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376
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}
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377
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378
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for(int i=half; i<NUM_MOVES-1; i++)
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379
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{
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380
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if( mMoves[i]!=INVALID_MOVE )
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381
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{
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382
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num++;
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383
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break;
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384
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}
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385
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}
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386
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387
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if( mMoves[NUM_MOVES-1]!=INVALID_MOVE ) num++;
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388
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389
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return num;
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390
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}
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391
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|
392
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///////////////////////////////////////////////////////////////////////////////////////////////////
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393
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394
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private long[] createMoves(long id)
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395
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{
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396
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long[] ret = new long[NUM_MOVES];
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397
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fillCornerQuat(id);
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398
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computePermittedAngles();
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399
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400
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generateUMoves(ret, 0);
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401
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generateSMoves(ret,11);
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402
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generateLMoves(ret,12);
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403
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return ret;
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}
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406
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407
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///////////////////////////////////////////////////////////////////////////////////////////////////
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408
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|
409
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private void generateUMoves(long[] table, int index)
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410
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{
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411
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for(int angle=1; angle<12; angle++)
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412
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{
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413
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table[index+angle-1] = mPermittedAngles[1][angle]==1 ? updateCornerQuats(0,2,angle) : INVALID_MOVE;
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414
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}
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415
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}
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416
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417
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///////////////////////////////////////////////////////////////////////////////////////////////////
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418
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419
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private void generateLMoves(long[] table, int index)
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420
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{
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421
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for(int angle=1; angle<12; angle++)
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422
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{
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423
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table[index+angle-1] = mPermittedAngles[0][angle]==1 ? updateCornerQuats(0,0,angle) : INVALID_MOVE;
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424
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}
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425
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}
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426
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427
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
428
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|
429
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private void generateSMoves(long[] table, int index)
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430
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{
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431
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table[index] = updateCornerQuats(1,1,1);
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432
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}
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433
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|
434
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
435
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|
436
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private void fillCornerQuat(long id)
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437
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{
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438
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int NUM_QUATS = 24;
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439
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440
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for(int i=0; i<8; i++)
|
441
|
{
|
442
|
mCornerQuat[i] = (int)(id%NUM_QUATS);
|
443
|
id/=NUM_QUATS;
|
444
|
}
|
445
|
}
|
446
|
|
447
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
448
|
|
449
|
private static long returnID(int[] cornerQuat)
|
450
|
{
|
451
|
int NUM_QUATS = 24;
|
452
|
long mult=1,ret=0;
|
453
|
|
454
|
for(int i=0; i<8; i++)
|
455
|
{
|
456
|
ret += mult*cornerQuat[i];
|
457
|
mult*=NUM_QUATS;
|
458
|
}
|
459
|
|
460
|
return ret;
|
461
|
}
|
462
|
|
463
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
464
|
|
465
|
private boolean cornerIsUp(int index)
|
466
|
{
|
467
|
return ((index<4) ^ (mCornerQuat[index]>=12));
|
468
|
}
|
469
|
|
470
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
471
|
|
472
|
private boolean cornerIsLeft(int index)
|
473
|
{
|
474
|
int q = mCornerQuat[index];
|
475
|
|
476
|
switch(index)
|
477
|
{
|
478
|
case 0:
|
479
|
case 4: return ((q>=3 && q<= 7) || (q>=18 && q<=22));
|
480
|
case 1:
|
481
|
case 5: return ((q>=6 && q<=10) || (q>=15 && q<=19));
|
482
|
case 2:
|
483
|
case 6: return ((q==0 || q==1 || (q>=9 && q<=11)) || (q>=12 && q<=16));
|
484
|
case 3:
|
485
|
case 7: return ((q>=0 && q<=4) || (q==12 || q==13 || (q>=21 && q<=23)));
|
486
|
}
|
487
|
|
488
|
return false;
|
489
|
}
|
490
|
|
491
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
492
|
|
493
|
private int makeQuat(int axis,int index)
|
494
|
{
|
495
|
if( axis==1 ) return 13;
|
496
|
if( index<0 ) index+=12;
|
497
|
return index;
|
498
|
}
|
499
|
|
500
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
501
|
|
502
|
private boolean cornerBelongs(int index, int axis, int layer)
|
503
|
{
|
504
|
if( axis==0 )
|
505
|
{
|
506
|
boolean up = cornerIsUp(index);
|
507
|
return ((up && layer==2) || (!up && layer==0));
|
508
|
}
|
509
|
else
|
510
|
{
|
511
|
boolean le = cornerIsLeft(index);
|
512
|
return ((le && layer==0) || (!le && layer==1));
|
513
|
}
|
514
|
}
|
515
|
|
516
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
517
|
|
518
|
private long updateCornerQuats(int axis, int layer, int index)
|
519
|
{
|
520
|
int quat = makeQuat(axis,index);
|
521
|
|
522
|
for(int corner=0; corner<8; corner++)
|
523
|
{
|
524
|
if( cornerBelongs(corner,axis,layer) )
|
525
|
{
|
526
|
int curr = mCornerQuat[corner];
|
527
|
mTmp[corner] = QUAT_MULT[quat][curr];
|
528
|
}
|
529
|
else
|
530
|
{
|
531
|
mTmp[corner] = mCornerQuat[corner];
|
532
|
}
|
533
|
}
|
534
|
|
535
|
return returnID(mTmp);
|
536
|
}
|
537
|
|
538
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
539
|
|
540
|
private boolean quatIsBad(int quatIndex, int corner)
|
541
|
{
|
542
|
int index = (corner%2);
|
543
|
|
544
|
return ( quatIndex==BAD_CORNER_QUATS[index][0] ||
|
545
|
quatIndex==BAD_CORNER_QUATS[index][1] ||
|
546
|
quatIndex==BAD_CORNER_QUATS[index][2] ||
|
547
|
quatIndex==BAD_CORNER_QUATS[index][3] );
|
548
|
}
|
549
|
|
550
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
551
|
|
552
|
private int isPermittedDo(int angle)
|
553
|
{
|
554
|
for(int corner=0; corner<8; corner++)
|
555
|
{
|
556
|
if( !cornerIsUp(corner) )
|
557
|
{
|
558
|
int currQuat = mCornerQuat[corner];
|
559
|
int finalQuat= QUAT_MULT[angle][currQuat];
|
560
|
if( quatIsBad(finalQuat,corner) ) return 0;
|
561
|
}
|
562
|
}
|
563
|
|
564
|
return 1;
|
565
|
}
|
566
|
|
567
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
568
|
|
569
|
private int isPermittedUp(int angle)
|
570
|
{
|
571
|
for(int corner=0; corner<8; corner++)
|
572
|
{
|
573
|
if( cornerIsUp(corner) )
|
574
|
{
|
575
|
int currQuat = mCornerQuat[corner];
|
576
|
int finalQuat= QUAT_MULT[angle][currQuat];
|
577
|
if( quatIsBad(finalQuat,corner) ) return 0;
|
578
|
}
|
579
|
}
|
580
|
|
581
|
return 1;
|
582
|
}
|
583
|
|
584
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
585
|
|
586
|
private void computePermittedAngles()
|
587
|
{
|
588
|
for(int angle=0; angle<12; angle++)
|
589
|
{
|
590
|
mPermittedAngles[0][angle] = isPermittedDo(angle);
|
591
|
mPermittedAngles[1][angle] = isPermittedUp(angle);
|
592
|
}
|
593
|
}
|
594
|
}
|