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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2023 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 proprietary software licensed under an EULA which you should have received //
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// along with the code. If not, check https://distorted.org/magic/License-Magic-Cube.html //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objectlib.tablebases;
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import android.content.res.Resources;
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import org.distorted.library.main.QuatHelper;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TablebasesCube2 extends TablebasesAbstract
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{
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private static final int[][] P =
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{
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{ 2,-1,-1},
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{ 2,-1, 1},
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{ 2, 1,-1},
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{ 2, 1, 1},
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{-2,-1,-1},
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{-2,-1, 1},
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{-2, 1,-1},
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{-2, 1, 1},
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{-1, 2,-1},
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{ 1, 2,-1},
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{-1, 2, 1},
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{ 1, 2, 1},
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{-1,-2,-1},
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{ 1,-2,-1},
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{-1,-2, 1},
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{ 1,-2, 1},
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{-1,-1, 2},
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{ 1,-1, 2},
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{-1, 1, 2},
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{ 1, 1, 2},
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{-1,-1,-2},
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{ 1,-1,-2},
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{-1, 1,-2},
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{ 1, 1,-2},
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};
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private static final int[][] PT =
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{
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{4,0},{5,0},{6,0},{7,0},
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{0,0},{1,0},{2,0},{3,0},
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{2,2},{6,1},{3,1},{7,2},
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{0,1},{4,2},{1,2},{5,1},
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{1,1},{5,2},{3,2},{7,1},
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{0,2},{4,1},{2,1},{6,2}
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};
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private int[][][] mQuatsMap;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public TablebasesCube2()
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{
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super();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public TablebasesCube2(Resources res)
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{
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super(res,org.distorted.objectlib.R.raw.cube_2_tablebase);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int[][] getBasicAngles()
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{
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int[] tmp = {4,4};
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return new int[][] { tmp,tmp,tmp };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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Static3D[] getRotationAxis()
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{
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return new Static3D[]
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{
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new Static3D(1,0,0),
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new Static3D(0,1,0),
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new Static3D(0,0,1)
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[][] getPosition()
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{
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return new float[][]
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{
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{ -0.5f, -0.5f, -0.5f },
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{ -0.5f, -0.5f, 0.5f },
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{ -0.5f, 0.5f, -0.5f },
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{ -0.5f, 0.5f, 0.5f },
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{ 0.5f, -0.5f, -0.5f },
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{ 0.5f, -0.5f, 0.5f },
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{ 0.5f, 0.5f, -0.5f },
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{ 0.5f, 0.5f, 0.5f },
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[][] getCuts()
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{
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return new float[][] { {0.0f}, {0.0f}, {0.0f} };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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boolean[][] getRotatable()
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{
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return new boolean[][] { {false,true},{false,true},{true,false} };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// specifically for the tablebase
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// 7!*3^6 --> https://www.jaapsch.net/puzzles/cube2.htm
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int getSize()
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{
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return 3674160;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getMinScramble()
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{
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return 9;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] getPermTwist(float[] point)
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{
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float ERR = 0.01f;
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for(int i=0; i<24; i++)
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{
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float dx = point[0]-P[i][0];
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float dy = point[1]-P[i][1];
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float dz = point[2]-P[i][2];
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if( dx*dx + dy*dy + dz*dz < ERR ) return PT[i];
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}
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return null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void fillOutMap(float[] buffer, int[][] map, float[] point, Static4D quat, int quatIndex)
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{
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QuatHelper.rotateVectorByQuat(buffer,point[0],point[1],point[2],1,quat);
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int[] pt = getPermTwist(buffer);
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map[pt[0]][pt[1]] = quatIndex;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void computeMap()
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{
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final float[][] POINTS =
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{
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{-2,-1,-1},
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{-2,-1, 1},
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{-2, 1,-1},
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{-2, 1, 1},
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{ 2,-1,-1},
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{ 2,-1, 1},
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{ 2, 1,-1},
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{ 2, 1, 1},
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};
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mQuatsMap = new int[8][8][3];
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Static4D[] quats = getQuats();
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float[] buffer = new float[4];
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for(int c=0; c<8; c++)
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for(int q=0; q<24; q++)
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fillOutMap(buffer,mQuatsMap[c],POINTS[c],quats[q],q);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public static int[] shrinkPerm(int[] perm8)
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{
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int[] perm7 = new int[7];
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int tmp = perm8[0];
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perm7[0] = tmp>1 ? tmp-1 : tmp;
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tmp = perm8[2];
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perm7[1] = tmp>1 ? tmp-1 : tmp;
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tmp = perm8[3];
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perm7[2] = tmp>1 ? tmp-1 : tmp;
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tmp = perm8[4];
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perm7[3] = tmp>1 ? tmp-1 : tmp;
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tmp = perm8[5];
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perm7[4] = tmp>1 ? tmp-1 : tmp;
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tmp = perm8[6];
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perm7[5] = tmp>1 ? tmp-1 : tmp;
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tmp = perm8[7];
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perm7[6] = tmp>1 ? tmp-1 : tmp;
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return perm7;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static int[] growPerm(int[] perm7)
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{
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int[] perm8 = new int[8];
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int tmp = perm7[0];
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perm8[0] = tmp>=1 ? tmp+1 : tmp;
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perm8[1] = 1;
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tmp = perm7[1];
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perm8[2] = tmp>=1 ? tmp+1 : tmp;
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tmp = perm7[2];
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perm8[3] = tmp>=1 ? tmp+1 : tmp;
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tmp = perm7[3];
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perm8[4] = tmp>=1 ? tmp+1 : tmp;
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tmp = perm7[4];
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perm8[5] = tmp>=1 ? tmp+1 : tmp;
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tmp = perm7[5];
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perm8[6] = tmp>=1 ? tmp+1 : tmp;
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tmp = perm7[6];
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perm8[7] = tmp>=1 ? tmp+1 : tmp;
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return perm8;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] getPerm(int permNum)
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{
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int[] perm7 = new int[7];
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TablebaseHelpers.getPermutationFromNum(perm7,7,permNum);
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return growPerm(perm7);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] getTwist(int twistNum)
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{
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int[] twist = new int[8];
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twist[0] = twistNum%3;
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twist[1] = 0;
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twistNum /=3;
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twist[2] = twistNum%3;
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twistNum /=3;
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twist[3] = twistNum%3;
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twistNum /=3;
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twist[4] = twistNum%3;
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twistNum /=3;
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twist[5] = twistNum%3;
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twistNum /=3;
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twist[6] = twistNum%3;
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int total = (twist[0]+twist[2]+twist[3]+twist[4]+twist[5]+twist[6])%3;
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if( total==0 ) twist[7] = 0;
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else twist[7] = 3-total;
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return twist;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int[] getQuats(int index)
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{
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if( mQuatsMap==null ) computeMap();
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int twistNum = index%729;
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int permuNum = index/729;
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int[] twist = getTwist(twistNum);
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int[] perm = getPerm(permuNum);
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int[] quats = new int[8];
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for(int i=0; i<8; i++) quats[i] = mQuatsMap[i][perm[i]][twist[i]];
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return quats;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void extractTwistAndPerm(int quat, int[][] map, int[] twist, int[] perm, int index)
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{
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for(int i=0; i<8; i++)
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for(int j=0; j<3; j++)
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if( map[i][j]==quat )
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{
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twist[index] = j;
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perm[index] = i;
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break;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int getIndex(int[] quats)
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{
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if( mQuatsMap==null ) computeMap();
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int[] twist = new int[8];
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int[] perm8 = new int[8];
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for(int i=0; i<8; i++) extractTwistAndPerm(quats[i],mQuatsMap[i],twist,perm8,i);
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int[] perm7 = shrinkPerm(perm8);
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int twistNum = twist[0] + 3*(twist[2] + 3*(twist[3] + 3*(twist[4] + 3*(twist[5] + 3*twist[6]))));
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int permNum = TablebaseHelpers.computePermutationNum(perm7);
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return twistNum + 729*permNum;
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}
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}
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