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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 static org.distorted.objectlib.main.TwistyObject.SQ3;
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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 TBSkewb extends TablebasesAbstract
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{
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public static final int[] FIXED= {0,3,5,6};
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public static final int[] FREE = {1,2,4,7};
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private static final int[][] freeIndex = { {1,3,2},{0,2,3},{3,1,0},{2,0,1} };
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private static final int[][][] centerQuats =
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{
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{ {0,10},{9,11},{1,7},{4,6},{2,5},{3,8} },
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{ {9,11},{0,10},{4,6},{1,7},{3,8},{2,5} },
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{ {2,8},{3,5},{0,11},{9,10},{1,4},{6,7} },
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{ {3,5},{2,8},{9,10},{0,11},{6,7},{1,4} },
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{ {1,6},{4,7},{2,3},{5,8},{0,9},{10,11} },
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{ {4,7},{1,6},{5,8},{2,3},{10,11},{0,9} }
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};
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// [1][] are the 3 quats the 1st 'fixed' corner will have when 'fakeTwisted' (which in case of
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// the fixed corners is the same as the final twist) with respectively twist 0,1,2.
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private static final int[][] fixedQuats = { {0,1,2},{0,7,8},{0,6,5},{0,4,3} };
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// [1][2][] are the 3 quats the 1st free corner, when permuted to the location of the 2nd corner,
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// will have when it is 'fakeTwisted' with fakeTwist 0,1,2.
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// fakeTwist is an intermediate twist which needs yet to be translated to the final twist of the
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// corners (which needs to sum up to something divisible by 3).
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private static final int[][][] freeQuats=
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{
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{ {0,3,4},{9,8,1},{6,11,2},{7,10,5} },
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{ {9,2,7},{0,5,6},{1,10,3},{4,11,8} },
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{ {5,1,11},{2,4,10},{0,8,7},{9,3,6} },
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{ {8,6,10},{3,7,11},{9,5,4},{0,2,1} }
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public TBSkewb()
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{
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super();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public TBSkewb(Resources res)
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{
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super(res, R.raw.skew_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( SQ3/3, SQ3/3, SQ3/3),
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new Static3D( SQ3/3, SQ3/3,-SQ3/3),
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new Static3D( SQ3/3,-SQ3/3, SQ3/3),
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new Static3D( SQ3/3,-SQ3/3,-SQ3/3)
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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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{ 1, 1, 1 },
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{ 1, 1,-1 },
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{ 1,-1, 1 },
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{ 1,-1,-1 },
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{-1, 1, 1 },
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{-1, 1,-1 },
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{-1,-1, 1 },
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{-1,-1,-1 },
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{ 0, 0, 1 },
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{ 0, 0,-1 },
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{ 0, 1, 0 },
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{ 0,-1, 0 },
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{ 1, 0, 0 },
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{-1, 0, 0 }
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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};
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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[] t1 = new boolean[] {false,true};
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boolean[] t2 = new boolean[] {true,false};
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return new boolean[][] { t1,t2,t2,t1 };
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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 3149280; // see https://www.jaapsch.net/puzzles/skewb.htm
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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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public static int computeLocation(int index, int quat)
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{
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for(int i=0; i<4; i++)
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{
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int[] q = freeQuats[index][i];
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if( quat==q[0] || quat==q[1] || quat==q[2] ) return i;
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}
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android.util.Log.e("D", "error in computeLocation, quat="+quat);
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return -1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static int retFixed(int index, int quat)
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{
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int[] qs = fixedQuats[index];
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if( quat==qs[0]) return 0;
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if( quat==qs[1]) return 1;
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if( quat==qs[2]) return 2;
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android.util.Log.e("D", "error in retFixed, index="+index+" quat="+quat);
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return -1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private static int retFree(int index, int quat)
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{
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int[][] qs = freeQuats[index];
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for(int i=0; i<4; i++)
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{
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if( quat==qs[i][0]) return 0;
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if( quat==qs[i][1]) return 1;
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if( quat==qs[i][2]) return 2;
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}
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android.util.Log.e("D", "error in retFree, index="+index+" quat="+quat);
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return -1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// In case of the four 'fixed' corners (0,3,5,6) which do not change their location,
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// the twist is natural: 0 in the init positions and increasing 1 mod 3 on each CW turn.
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//
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// In case of the four 'free' corners their twist is relative to the position of the 'free'
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// tetrahedron. And so, for example the twist of free corner 1 (whose 0th face is orange) is equal
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// to 0 if free corner 7 is on the same face like 0th face of corner 1 (which is the case in init
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// position); then once free corners 2,4,7 permute CW, twist of corner 1 increases by 1 mod 3.
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public static void computeCornerTwists(int[] twists, int[] quats)
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{
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for(int i=0; i<4; i++) twists[FIXED[i]] = retFixed(i,quats[FIXED[i]]);
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for(int i=0; i<4; i++) twists[FREE[i]] = retFree(i,quats[FREE[i]]);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public static void fillInQuats(int[] quats, int[] perm, int[] twist)
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{
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for(int i=0; i<4; i++)
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{
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int fixed = FIXED[i];
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int free = FREE[i];
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int twFi = twist[fixed];
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int twFr = twist[free];
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int pe = perm[i];
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quats[fixed] = fixedQuats[i][twFi];
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quats[free ] = freeQuats[i][pe][twFr];
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] computeCenterPerm(int[] quats)
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{
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int[] output = new int[6];
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for(int i=0; i<6; i++)
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{
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output[i] = -1;
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int[][] c = centerQuats[i];
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int q = quats[8+i];
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for(int j=0; j<6; j++)
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if( c[j][0]==q || c[j][1]==q )
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{
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output[i] = j;
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break;
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}
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}
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return output;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void fillCenterQuats(int[] quats, int[] perm)
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{
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for(int i=0; i<6; i++) quats[8+i] = centerQuats[i][perm[i]][0];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void fillUpToEvenPerm(int[] perm)
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{
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int min, max;
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if( perm[0]!=0 && perm[1]!=0 ) min=0;
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else if( perm[0]!=1 && perm[1]!=1 ) min=1;
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else min=2;
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if( perm[0]!=3 && perm[1]!=3 ) max=3;
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else if( perm[0]!=2 && perm[1]!=2 ) max=2;
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else max=1;
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int diff = perm[1]-perm[0];
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if( diff==-2 || diff==1 || diff==3 ) { perm[2]=min; perm[3]=max; }
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else { perm[2]=max; perm[3]=min; }
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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[] permFree = new int[4];
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int center_perm_num = (index%360);
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index /= 360;
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int totalTwist = (index%2187);
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permFree[0] = (index/2187);
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int[] quats = new int[14];
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int[] center_perm = new int[6];
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int[] twist = new int[8];
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TablebaseHelpers.getEvenPermutationFromNum(center_perm, center_perm_num);
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fillCenterQuats(quats,center_perm);
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for(int i=0; i<7; i++)
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{
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twist[i] = (totalTwist%3);
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totalTwist /= 3;
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}
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int total = twist[FREE[0]]+twist[FREE[1]]+twist[FREE[2]];
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twist[7] = ((6-total)%3);
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int sumFixedTwists = twist[FIXED[0]]+twist[FIXED[1]]+twist[FIXED[2]]+twist[FIXED[3]];
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permFree[1] = freeIndex[permFree[0]][sumFixedTwists%3];
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fillUpToEvenPerm(permFree);
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fillInQuats(quats,permFree,twist);
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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 = computeCenterPerm(quats);
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int center_perm_num = TablebaseHelpers.computeEvenPermutationNum(center_perm);
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int[] twist = new int[8];
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computeCornerTwists(twist,quats);
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int totalTwist = twist[0]+ 3*(twist[1]+ 3*(twist[2]+ 3*(twist[3]+ 3*(twist[4]+ 3*(twist[5]+ 3*twist[6])))));
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int locationOfFree0 = computeLocation(0,quats[1]);
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return center_perm_num+ 360*(totalTwist + 2187*locationOfFree0);
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}
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}
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