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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.solvers;
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import android.content.res.Resources;
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import org.distorted.main.R;
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import org.distorted.objectlib.main.ObjectSignatures;
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import org.distorted.objectlib.main.TwistyObject;
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import org.distorted.objectlib.tablebases.ImplementedTablebasesList;
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import org.distorted.objectlib.tablebases.TablebaseHelpers;
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import org.distorted.objectlib.tablebases.TablebasesAbstract;
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import org.distorted.objectlib.tablebases.TBPyraminx;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class SolverPyraminx extends SolverTablebase
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{
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private static final int ERROR_CORNER_GYB_MISSING = -1;
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private static final int ERROR_CORNER_GYR_MISSING = -2;
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private static final int ERROR_CORNER_GBR_MISSING = -3;
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private static final int ERROR_CORNER_YBR_MISSING = -4;
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private static final int ERROR_VERTEX_GYB_MISSING = -5;
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private static final int ERROR_VERTEX_GYR_MISSING = -6;
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private static final int ERROR_VERTEX_GBR_MISSING = -7;
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private static final int ERROR_VERTEX_YBR_MISSING = -8;
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private static final int ERROR_EDGE_RB_MISSING = -9;
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private static final int ERROR_EDGE_RY_MISSING = -10;
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private static final int ERROR_EDGE_RG_MISSING = -11;
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private static final int ERROR_EDGE_YB_MISSING = -12;
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private static final int ERROR_EDGE_GB_MISSING = -13;
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private static final int ERROR_EDGE_GY_MISSING = -14;
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private static final int ERROR_CORNERS_CANNOT = -15;
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private static final int ERROR_VERTICES_CANNOT = -16;
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private static final int ERROR_EDGE_TWISTED = -17;
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private static final int ERROR_C_V_DONT_MATCH = -18;
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private static final int ERROR_TWO_EDGES = -19;
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private TablebasesAbstract mSolver;
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private int[] mCornerTwist;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean pieceEqual3(int[] piece, int c1, int c2, int c3)
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{
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return ( (piece[0]==c1 && piece[1]==c2 && piece[2]==c3) ||
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(piece[0]==c1 && piece[2]==c2 && piece[1]==c3) ||
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(piece[1]==c1 && piece[0]==c2 && piece[2]==c3) ||
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(piece[1]==c1 && piece[2]==c2 && piece[0]==c3) ||
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(piece[2]==c1 && piece[1]==c2 && piece[0]==c3) ||
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(piece[2]==c1 && piece[0]==c2 && piece[1]==c3) );
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean pieceEqual2(int[] piece, int[] colors)
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{
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return ( (piece[0]==colors[0] && piece[1]==colors[1]) ||
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(piece[0]==colors[1] && piece[1]==colors[0]) );
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int checkAllCornersPresent(int[][] corners)
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{
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boolean ybr = false;
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boolean gbr = false;
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boolean gyr = false;
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boolean gyb = false;
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for(int i=0; i<4; i++)
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{
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if( pieceEqual3(corners[i],0,1,2) ) gyb = true;
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if( pieceEqual3(corners[i],0,1,3) ) gyr = true;
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if( pieceEqual3(corners[i],0,2,3) ) gbr = true;
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if( pieceEqual3(corners[i],1,2,3) ) ybr = true;
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}
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if( !ybr ) return ERROR_CORNER_YBR_MISSING;
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if( !gbr ) return ERROR_CORNER_GBR_MISSING;
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if( !gyr ) return ERROR_CORNER_GYR_MISSING;
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if( !gyb ) return ERROR_CORNER_GYB_MISSING;
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return 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int checkAllVerticesPresent(int[][] vertex)
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{
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boolean ybr = false;
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boolean gbr = false;
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boolean gyr = false;
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boolean gyb = false;
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for(int i=0; i<4; i++)
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{
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if( pieceEqual3(vertex[i],0,1,2) ) gyb = true;
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if( pieceEqual3(vertex[i],0,1,3) ) gyr = true;
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if( pieceEqual3(vertex[i],0,2,3) ) gbr = true;
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if( pieceEqual3(vertex[i],1,2,3) ) ybr = true;
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}
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if( !ybr ) return ERROR_VERTEX_YBR_MISSING;
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if( !gbr ) return ERROR_VERTEX_GBR_MISSING;
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if( !gyr ) return ERROR_VERTEX_GYR_MISSING;
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if( !gyb ) return ERROR_VERTEX_GYB_MISSING;
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return 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int checkAllEdgesPresent(int[][] edges, int[][] edgeColors)
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{
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boolean[] present = new boolean[6];
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for(int i=0; i<6; i++) present[i] = false;
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for(int i=0; i<6; i++)
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for(int j=0; j<6; j++)
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if (pieceEqual2(edges[i], edgeColors[j]))
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{
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present[j] = true;
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break;
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}
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if( !present[0] ) return ERROR_EDGE_RB_MISSING;
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if( !present[1] ) return ERROR_EDGE_RY_MISSING;
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if( !present[2] ) return ERROR_EDGE_RG_MISSING;
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if( !present[3] ) return ERROR_EDGE_YB_MISSING;
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if( !present[4] ) return ERROR_EDGE_GB_MISSING;
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if( !present[5] ) return ERROR_EDGE_GY_MISSING;
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return 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] computeFaceColors(int[][] corners)
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{
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int[] ret = new int[4];
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for(int i=0; i<4; i++)
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for(int j=0; j<4; j++)
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if( corners[i][0]!=j && corners[i][1]!=j && corners[i][2]!=j ) ret[i]=j;
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int checkAgreement(int[] faces1, int[] faces2)
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{
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for(int i=0; i<4; i++)
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if( faces1[i]!=faces2[i] ) return ERROR_C_V_DONT_MATCH;
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return 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int computePieceTwist(int index, int[] corner, int[] faceColor)
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{
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int twist1=0, twist2=0, twist3=0;
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switch(index)
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{
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case 0: if( corner[1]==faceColor[1] ) twist1=1;
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if( corner[2]==faceColor[1] ) twist1=2;
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if( corner[0]==faceColor[2] ) twist2=2;
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if( corner[2]==faceColor[2] ) twist2=1;
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if( corner[0]==faceColor[3] ) twist3=1;
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if( corner[1]==faceColor[3] ) twist3=2;
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break;
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case 1: if( corner[1]==faceColor[0] ) twist1=1;
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if( corner[2]==faceColor[0] ) twist1=2;
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if( corner[0]==faceColor[2] ) twist2=1;
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if( corner[1]==faceColor[2] ) twist2=2;
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if( corner[0]==faceColor[3] ) twist3=2;
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if( corner[2]==faceColor[3] ) twist3=1;
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break;
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case 2: if( corner[1]==faceColor[0] ) twist1=1;
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if( corner[2]==faceColor[0] ) twist1=2;
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if( corner[0]==faceColor[1] ) twist2=2;
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if( corner[2]==faceColor[1] ) twist2=1;
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if( corner[0]==faceColor[3] ) twist3=1;
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if( corner[1]==faceColor[3] ) twist3=2;
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break;
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case 3: if( corner[1]==faceColor[0] ) twist1=1;
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if( corner[2]==faceColor[0] ) twist1=2;
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if( corner[0]==faceColor[1] ) twist2=1;
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if( corner[1]==faceColor[1] ) twist2=2;
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if( corner[0]==faceColor[2] ) twist3=2;
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if( corner[2]==faceColor[2] ) twist3=1;
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break;
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}
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return ( twist1!=twist2 || twist1!=twist3 ) ? ERROR_CORNERS_CANNOT : twist1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int locateEdge(int[][] edges, int[] colors)
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{
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for(int i=0; i<6; i++)
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if( edges[i][0]==colors[0] && edges[i][1]==colors[1] ||
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edges[i][0]==colors[1] && edges[i][1]==colors[0] ) return i;
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return -1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int edgeTwist(int[] edge, int[] colors)
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{
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return edge[0]==colors[0] ? 0:1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] computeEdgeQuats(int[][] edges, int[][] edgeColors)
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{
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int[] quats = new int[6];
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for(int i=0; i<6; i++)
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{
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int pos = locateEdge(edges,edgeColors[i]);
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int twist = edgeTwist(edges[pos],edgeColors[i]);
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quats[i] = TBPyraminx.EDGE_QUATS[pos][twist];
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}
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return quats;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public SolverPyraminx(Resources res, TwistyObject object)
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{
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super(res,object);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void getCorners(TwistyObject object, int[][] corners)
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{
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corners[0][0] = object.getCubitFaceStickerIndex(4,0); // G
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corners[0][1] = object.getCubitFaceStickerIndex(4,3); // R
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corners[0][2] = object.getCubitFaceStickerIndex(4,2); // B
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corners[1][0] = object.getCubitFaceStickerIndex(6,1); // Y
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corners[1][1] = object.getCubitFaceStickerIndex(6,2); // B
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corners[1][2] = object.getCubitFaceStickerIndex(6,3); // R
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corners[2][0] = object.getCubitFaceStickerIndex(11,1); // Y
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corners[2][1] = object.getCubitFaceStickerIndex(11,0); // G
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corners[2][2] = object.getCubitFaceStickerIndex(11,2); // B
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corners[3][0] = object.getCubitFaceStickerIndex(13,1); // Y
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corners[3][1] = object.getCubitFaceStickerIndex(13,3); // R
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corners[3][2] = object.getCubitFaceStickerIndex(13,0); // G
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void getVertices(TwistyObject object, int[][] vertex)
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{
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vertex[0][0] = object.getCubitFaceStickerIndex(0,0); // G
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vertex[0][1] = object.getCubitFaceStickerIndex(0,5); // R
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vertex[0][2] = object.getCubitFaceStickerIndex(0,7); // B
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vertex[1][0] = object.getCubitFaceStickerIndex(1,2); // Y
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vertex[1][1] = object.getCubitFaceStickerIndex(1,7); // B
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vertex[1][2] = object.getCubitFaceStickerIndex(1,5); // R
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vertex[2][0] = object.getCubitFaceStickerIndex(2,2); // Y
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vertex[2][1] = object.getCubitFaceStickerIndex(2,0); // G
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vertex[2][2] = object.getCubitFaceStickerIndex(2,7); // B
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vertex[3][0] = object.getCubitFaceStickerIndex(3,2); // Y
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vertex[3][1] = object.getCubitFaceStickerIndex(3,5); // R
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vertex[3][2] = object.getCubitFaceStickerIndex(3,0); // G
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void getEdges(TwistyObject object, int[][] edges)
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{
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edges[0][0] = object.getCubitFaceStickerIndex(5,3); // R
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edges[0][1] = object.getCubitFaceStickerIndex(5,2); // B
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edges[1][0] = object.getCubitFaceStickerIndex(10,1); // Y
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edges[1][1] = object.getCubitFaceStickerIndex(10,3); // R
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edges[2][0] = object.getCubitFaceStickerIndex(9,0); // G
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edges[2][1] = object.getCubitFaceStickerIndex(9,3); // R
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edges[3][0] = object.getCubitFaceStickerIndex(8,2); // B
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edges[3][1] = object.getCubitFaceStickerIndex(8,1); // Y
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edges[4][0] = object.getCubitFaceStickerIndex(7,2); // B
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edges[4][1] = object.getCubitFaceStickerIndex(7,0); // G
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edges[5][0] = object.getCubitFaceStickerIndex(12,1); // Y
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edges[5][1] = object.getCubitFaceStickerIndex(12,0); // G
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[][] computeEdgeColors(int[] faceColor)
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{
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// The first pair being (2,3) means 'the first edge's first face is on the tetrahedron
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// face which oppeses corner number 2, and its second face on tetra face which opposes
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// corner number 3'
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// Order of those pairs determines edge twist.
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final int[][] edgeColorIndices = new int[][] { {2,3},{0,2},{1,2},{3,0},{3,1},{0,1} };
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int[][] ret = new int[6][2];
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for(int i=0; i<6; i++)
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{
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ret[i][0] = faceColor[edgeColorIndices[i][0]];
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ret[i][1] = faceColor[edgeColorIndices[i][1]];
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}
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int tablebaseIndex(TwistyObject object)
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{
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int[][] corners = new int[4][3];
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int[][] edges = new int[6][2];
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int[][] vertices= new int[4][3];
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int[] vertex_twist = new int[4];
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mCornerTwist = new int[4];
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getCorners(object,corners);
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getVertices(object,vertices);
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int result1 = checkAllCornersPresent(corners);
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if( result1<0 ) return result1;
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int result2 = checkAllVerticesPresent(vertices);
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if( result2<0 ) return result2;
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int[] faces1 = computeFaceColors(corners);
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int[] faces2 = computeFaceColors(vertices);
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int result3 = checkAgreement(faces1,faces2);
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if( result3<0 ) return result3;
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int[][] edgeColors = computeEdgeColors(faces1);
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getEdges(object,edges);
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int result4 = checkAllEdgesPresent(edges,edgeColors);
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if( result4<0 ) return result4;
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for(int i=0; i<4; i++)
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{
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mCornerTwist[i] = computePieceTwist(i,corners[i],faces1);
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if( mCornerTwist[i]<0 ) return ERROR_CORNERS_CANNOT;
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}
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for(int i=0; i<4; i++)
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{
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vertex_twist[i] = computePieceTwist(i,vertices[i],faces1);
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if( vertex_twist[i]<0 ) return ERROR_VERTICES_CANNOT;
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}
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int[] quats = computeEdgeQuats(edges,edgeColors);
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int[] permutation = new int[6];
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TBPyraminx.getEdgePermutation(permutation,quats,0);
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boolean even = TablebaseHelpers.permutationIsEven(permutation);
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if( !even ) return ERROR_TWO_EDGES;
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int[] edge_twist = new int[6];
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TBPyraminx.getEdgeTwist(edge_twist,quats,0);
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int totalEdgeTwist=0;
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for(int i=0; i<6; i++) totalEdgeTwist += edge_twist[i];
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391
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if( (totalEdgeTwist%2)!=0 ) return ERROR_EDGE_TWISTED;
|
392
|
|
393
|
int vertexTwist = vertex_twist[0]+ 3*(vertex_twist[1]+ 3*(vertex_twist[2]+ 3*vertex_twist[3]));
|
394
|
int edgeTwist = edge_twist[0]+ 2*(edge_twist[1]+ 2*(edge_twist[2]+ 2*(edge_twist[3]+ 2*edge_twist[4])));
|
395
|
int perm_num = TablebaseHelpers.computeEvenPermutationNum(permutation);
|
396
|
|
397
|
return vertexTwist + 81*(edgeTwist + 32*perm_num);
|
398
|
}
|
399
|
|
400
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
401
|
|
402
|
private int getColorIndex3(int color)
|
403
|
{
|
404
|
switch(color)
|
405
|
{
|
406
|
case 0: return R.string.color_green3;
|
407
|
case 1: return R.string.color_yellow3;
|
408
|
case 2: return R.string.color_blue3;
|
409
|
case 3: return R.string.color_red3;
|
410
|
}
|
411
|
|
412
|
return -1;
|
413
|
}
|
414
|
|
415
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
416
|
|
417
|
private int getColorIndex4(int color)
|
418
|
{
|
419
|
switch(color)
|
420
|
{
|
421
|
case 0: return R.string.color_green4;
|
422
|
case 1: return R.string.color_yellow4;
|
423
|
case 2: return R.string.color_blue4;
|
424
|
case 3: return R.string.color_red4;
|
425
|
}
|
426
|
|
427
|
return -1;
|
428
|
}
|
429
|
|
430
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
431
|
|
432
|
private int getColorIndex6(int color)
|
433
|
{
|
434
|
switch(color)
|
435
|
{
|
436
|
case 0: return R.string.color_green6;
|
437
|
case 1: return R.string.color_yellow6;
|
438
|
case 2: return R.string.color_blue6;
|
439
|
case 3: return R.string.color_red6;
|
440
|
}
|
441
|
|
442
|
return -1;
|
443
|
}
|
444
|
|
445
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
446
|
|
447
|
private String cornerError(Resources res, int color0, int color1, int color2)
|
448
|
{
|
449
|
int j0 = getColorIndex3(color0);
|
450
|
int j1 = getColorIndex3(color1);
|
451
|
int j2 = getColorIndex4(color2);
|
452
|
|
453
|
String c0 = res.getString(j0);
|
454
|
String c1 = res.getString(j1);
|
455
|
String c2 = res.getString(j2);
|
456
|
|
457
|
return res.getString(R.string.solver_generic_missing_corner,c0,c1,c2);
|
458
|
}
|
459
|
|
460
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
461
|
|
462
|
private String vertexError(Resources res, int color0, int color1, int color2)
|
463
|
{
|
464
|
int j0 = getColorIndex3(color0);
|
465
|
int j1 = getColorIndex3(color1);
|
466
|
int j2 = getColorIndex4(color2);
|
467
|
|
468
|
String c0 = res.getString(j0);
|
469
|
String c1 = res.getString(j1);
|
470
|
String c2 = res.getString(j2);
|
471
|
|
472
|
return res.getString(R.string.solver_generic_missing_vertex,c0,c1,c2);
|
473
|
}
|
474
|
|
475
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
476
|
|
477
|
private String edgeError(Resources res, int color0, int color1)
|
478
|
{
|
479
|
int j0 = getColorIndex3(color0);
|
480
|
int j1 = getColorIndex6(color1);
|
481
|
|
482
|
String c0 = res.getString(j0);
|
483
|
String c1 = res.getString(j1);
|
484
|
|
485
|
return res.getString(R.string.solver_generic_missing_edge,c0,c1);
|
486
|
}
|
487
|
|
488
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
489
|
|
490
|
public String error(int index, Resources res)
|
491
|
{
|
492
|
switch(index)
|
493
|
{
|
494
|
case ERROR_CORNER_YBR_MISSING: return cornerError(res,3,2,1);
|
495
|
case ERROR_CORNER_GBR_MISSING: return cornerError(res,3,2,0);
|
496
|
case ERROR_CORNER_GYR_MISSING: return cornerError(res,3,1,0);
|
497
|
case ERROR_CORNER_GYB_MISSING: return cornerError(res,2,1,0);
|
498
|
case ERROR_VERTEX_YBR_MISSING: return vertexError(res,3,2,1);
|
499
|
case ERROR_VERTEX_GBR_MISSING: return vertexError(res,3,2,0);
|
500
|
case ERROR_VERTEX_GYR_MISSING: return vertexError(res,3,1,0);
|
501
|
case ERROR_VERTEX_GYB_MISSING: return vertexError(res,2,1,0);
|
502
|
case ERROR_EDGE_RB_MISSING : return edgeError(res,3,2);
|
503
|
case ERROR_EDGE_RY_MISSING : return edgeError(res,3,1);
|
504
|
case ERROR_EDGE_RG_MISSING : return edgeError(res,3,0);
|
505
|
case ERROR_EDGE_YB_MISSING : return edgeError(res,2,1);
|
506
|
case ERROR_EDGE_GB_MISSING : return edgeError(res,2,0);
|
507
|
case ERROR_EDGE_GY_MISSING : return edgeError(res,1,0);
|
508
|
case ERROR_EDGE_TWISTED : return res.getString(R.string.solver_generic_edge_twist);
|
509
|
case ERROR_CORNERS_CANNOT : return res.getString(R.string.solver_generic_corners_cannot);
|
510
|
case ERROR_VERTICES_CANNOT : return res.getString(R.string.solver_generic_vertices_cannot);
|
511
|
case ERROR_C_V_DONT_MATCH : return res.getString(R.string.solver_generic_c_v_dont_match);
|
512
|
case ERROR_TWO_EDGES : return res.getString(R.string.solver_generic_two_edges);
|
513
|
}
|
514
|
|
515
|
return null;
|
516
|
}
|
517
|
|
518
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
519
|
|
520
|
public int[][] solution(int index, Resources res)
|
521
|
{
|
522
|
if( mSolver==null )
|
523
|
{
|
524
|
mSolver = ImplementedTablebasesList.createPacked(res, ObjectSignatures.PYRA_3);
|
525
|
}
|
526
|
|
527
|
return mSolver!=null ? mSolver.solution(index,mCornerTwist) : null;
|
528
|
}
|
529
|
}
|
530
|
|