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Leszek Koltunski
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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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Leszek Koltunski
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import static org.distorted.objectlib.main.TwistyObject.SQ2;
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import static org.distorted.objectlib.main.TwistyObject.SQ3;
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import static org.distorted.objectlib.main.TwistyObject.SQ6;
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import android.content.res.Resources;
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import org.distorted.library.type.Static3D;
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import org.distorted.objectlib.R;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TablebasesSkewbDiamond extends TablebasesAbstract
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{
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private static final int[][][] FREE_CENTER =
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{
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{ {0,5, 6}, {1,4,10}, {2,7, 9}, {3,8,11} },
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{ {2,3,10}, {0,7, 8}, {1,6,11}, {4,5, 9} },
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{ {1,8, 9}, {2,5,11}, {0,3, 4}, {6,7,10} },
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{ {4,7,11}, {3,6, 9}, {5,8,10}, {0,1, 2} }
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};
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public static final int[][][] CORNER_QUATS =
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{
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{ {0,9},{2,4},{10,11},{8,6},{1,5},{3,7} }, // order of each pair determines the twist.
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{ {1,3},{0,11},{5,7},{10,9},{2,8},{6,4} },
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{ {10,11},{6,8},{0,9},{4,2},{7,3},{5,1} },
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{ {7,5},{10,9},{3,1},{0,11},{6,4},{2,8} },
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{ {2,6},{1,7},{8,4},{5,3},{0,10},{9,11} },
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{ {4,8},{5,3},{6,2},{1,7},{9,11},{0,10} }
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////
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Leszek Koltunski
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public TablebasesSkewbDiamond()
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{
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super();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public TablebasesSkewbDiamond(Resources res)
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{
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super(res, R.raw.diam_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 = {3,3};
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return new int[][] { tmp,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( SQ6/3, SQ3/3, 0),
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new Static3D(-SQ6/3, SQ3/3, 0),
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new Static3D( 0,-SQ3/3,-SQ6/3),
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new Static3D( 0,-SQ3/3, SQ6/3)
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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, 0.0f, 0.5f},
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{ 0.5f, 0.0f, -0.5f},
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{-0.5f, 0.0f, -0.5f},
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{-0.5f, 0.0f, 0.5f},
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{ 0.0f, SQ2/2, 0.0f},
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{ 0.0f,-SQ2/2, 0.0f},
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{ 0.0f, SQ2/4, 0.5f},
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{ 0.5f, SQ2/4, 0.0f},
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{ 0.0f, SQ2/4,-0.5f},
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{-0.5f, SQ2/4, 0.0f},
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{ 0.0f,-SQ2/4, 0.5f},
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{ 0.5f,-SQ2/4, 0.0f},
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{ 0.0f,-SQ2/4,-0.5f},
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{-0.5f,-SQ2/4, 0.0f}
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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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float[] cut = { 0.0f };
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return new float[][] { cut,cut,cut,cut };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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boolean[][] getRotatable()
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{
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boolean[] tmp = new boolean[] {false,true};
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return new boolean[][] { tmp,tmp,tmp,tmp };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// specifically for the tablebase
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getSize()
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{
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return 138240; // see https://www.jaapsch.net/puzzles/diamond.htm
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int computeCenterQuat(int originalLocation, int newLocation)
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{
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return FREE_CENTER[originalLocation][newLocation][0];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void computeCenterPerm(int[] output, int q0, int q1, int q2, int q3)
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{
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for(int j=0; j<4; j++)
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{
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int[] q = FREE_CENTER[0][j];
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if( q[0]==q0 || q[1]==q0 || q[2]==q0 ) { output[0]=j; break; }
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}
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for(int j=0; j<4; j++)
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{
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int[] q = FREE_CENTER[1][j];
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if( q[0]==q1 || q[1]==q1 || q[2]==q1 ) { output[1]=j; break; }
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}
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for(int j=0; j<4; j++)
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{
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int[] q = FREE_CENTER[2][j];
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if( q[0]==q2 || q[1]==q2 || q[2]==q2 ) { output[2]=j; break; }
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}
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for(int j=0; j<4; j++)
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{
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int[] q = FREE_CENTER[3][j];
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if( q[0]==q3 || q[1]==q3 || q[2]==q3 ) { output[3]=j; break; }
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}
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Leszek Koltunski
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int computeCornerQuat(int originalLocation, int newLocation, int twist)
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{
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return CORNER_QUATS[originalLocation][newLocation][twist];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int computeCornerPerm(int[] output, int[] quats)
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{
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int totalTwist = 0;
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for(int i=0; i<6; i++)
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{
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int q = quats[i];
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int[][] perm = CORNER_QUATS[i];
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for(int j=0; j<6; j++)
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{
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int[] p = perm[j];
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if( p[0]==q ) { output[i]=j; break; }
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if( p[1]==q ) { output[i]=j; if( i<5 ) totalTwist+=(1<<i); break; }
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}
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}
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return totalTwist;
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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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int centers_perm_num = (index%12);
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index /= 12;
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int totalTwist = (index%32);
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int corners_perm_num = (index/32);
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int[] centers_perm = new int[4];
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TablebaseHelpers.getEvenPermutationFromNum(centers_perm,centers_perm_num);
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int[] corners_perm = new int[6];
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TablebaseHelpers.getEvenPermutationFromNum(corners_perm,corners_perm_num);
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int[] quats = new int[14];
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for(int i=0; i<6; i++)
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{
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int twist = (totalTwist%2);
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totalTwist /= 2;
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quats[i] = computeCornerQuat(i,corners_perm[i],twist);
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}
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quats[ 6] = computeCenterQuat(0,centers_perm[0]);
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quats[ 8] = computeCenterQuat(1,centers_perm[1]);
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quats[11] = computeCenterQuat(2,centers_perm[2]);
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quats[13] = computeCenterQuat(3,centers_perm[3]);
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return quats;
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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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int[] center_perm = new int[4];
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computeCenterPerm(center_perm, quats[6],quats[8],quats[11],quats[13]);
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int centers_perm_num = TablebaseHelpers.computeEvenPermutationNum(center_perm);
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int[] corners_perm = new int[6];
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int totalTwist = computeCornerPerm(corners_perm,quats);
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int corners_perm_num = TablebaseHelpers.computeEvenPermutationNum(corners_perm);
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return centers_perm_num + 12*(totalTwist + 32*corners_perm_num);
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}
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}
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