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29b82486
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2020 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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6133be67
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Leszek Koltunski
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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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29b82486
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objectlib.objects;
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import static org.distorted.objectlib.touchcontrol.TouchControl.TC_DODECAHEDRON;
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import static org.distorted.objectlib.touchcontrol.TouchControl.TYPE_SPLIT_EDGE;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.C2;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.LEN;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.SIN54;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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import org.distorted.objectlib.main.InitAssets;
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leszek
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import org.distorted.objectlib.metadata.Metadata;
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import org.distorted.objectlib.touchcontrol.TouchControlDodecahedron;
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import org.distorted.objectlib.shape.ShapeDodecahedron;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public abstract class TwistyDodecahedron extends ShapeDodecahedron
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{
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public static final float COS_HALFD= (float)(Math.sqrt(0.5f-0.1f*SQ5)); // cos(half the dihedral angle)
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public static final float SIN_HALFD= (float)(Math.sqrt(0.5f+0.1f*SQ5)); // sin(half the dihedral angle)
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static final int NUM_CORNERS = 20;
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static final int NUM_CENTERS = 12;
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static final int NUM_EDGES = 30;
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static final float SIN18 = (SQ5-1)/4;
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static final float COS18 = (float)(0.25f*Math.sqrt(10.0f+2.0f*SQ5));
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// the six rotation axis of a Minx. Must be normalized.
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D( C2/LEN, SIN54/LEN, 0 ),
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new Static3D( -C2/LEN, SIN54/LEN, 0 ),
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new Static3D( 0 , C2/LEN, SIN54/LEN ),
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new Static3D( 0 , -C2/LEN, SIN54/LEN ),
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new Static3D( SIN54/LEN, 0 , C2/LEN ),
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new Static3D( SIN54/LEN, 0 , -C2/LEN )
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};
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private int[][] mBasicAngle;
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private float[][] mCuts;
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float[][] mCenterCoords,mCorners;
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int[] mQuatEdgeIndices,mQuatCornerIndices;
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int[][] mEdgeMap,mCenterMap;
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Static4D[] mBasicCornerV, mCurrCornerV;
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int[][] mEdges;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyDodecahedron(int iconMode, Static4D quat, Static3D move, float scale, Metadata meta, InitAssets asset)
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{
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super(iconMode, meta.getNumLayers()[0], quat, move, scale, meta, asset);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void fillRet(int[] table, int index, int count, int startMove, int graphVertex)
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{
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for(int i=0; i<count; i++)
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{
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table[index+2*i ] = startMove++;
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table[index+2*i+1] = graphVertex;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[] genEdge(int numLayers, int x0, int x1, int x2, int x3, int x4, int x5,
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int x6, int x7, int x8, int x9, int x10,int x11)
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{
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int layers = (numLayers-1)/2;
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int num = 8*layers;
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int size = 0;
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int count = 4*layers;
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int offset1 = 4*layers + (numLayers%2==1 ? 4:0); // omit the middle layer, if it exists.
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int offset2 = 4*layers;
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if( x0 >=0 ) size += num;
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if( x1 >=0 ) size += num;
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if( x2 >=0 ) size += num;
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if( x3 >=0 ) size += num;
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if( x4 >=0 ) size += num;
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if( x5 >=0 ) size += num;
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if( x6 >=0 ) size += num;
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if( x7 >=0 ) size += num;
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if( x8 >=0 ) size += num;
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if( x9 >=0 ) size += num;
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if( x10>=0 ) size += num;
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if( x11>=0 ) size += num;
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int[] ret = new int[size];
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int index = 0;
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int startMove = 0;
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if( x0 >=0 ) { fillRet(ret,index,count,startMove ,x0 ); index+=num; }
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startMove += offset1;
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if( x1 >=0 ) { fillRet(ret,index,count,startMove ,x1 ); index+=num; }
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startMove += offset2;
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if( x2 >=0 ) { fillRet(ret,index,count,startMove ,x2 ); index+=num; }
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startMove += offset1;
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if( x3 >=0 ) { fillRet(ret,index,count,startMove ,x3 ); index+=num; }
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startMove += offset2;
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if( x4 >=0 ) { fillRet(ret,index,count,startMove ,x4 ); index+=num; }
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startMove += offset1;
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if( x5 >=0 ) { fillRet(ret,index,count,startMove ,x5 ); index+=num; }
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startMove += offset2;
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if( x6 >=0 ) { fillRet(ret,index,count,startMove ,x6 ); index+=num; }
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startMove += offset1;
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if( x7 >=0 ) { fillRet(ret,index,count,startMove ,x7 ); index+=num; }
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startMove += offset2;
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if( x8 >=0 ) { fillRet(ret,index,count,startMove ,x8 ); index+=num; }
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startMove += offset1;
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if( x9 >=0 ) { fillRet(ret,index,count,startMove ,x9 ); index+=num; }
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startMove += offset2;
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if( x10>=0 ) { fillRet(ret,index,count,startMove ,x10); index+=num; }
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startMove += offset1;
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if( x11>=0 ) { fillRet(ret,index,count,startMove ,x11); }
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int[][] getScrambleEdges()
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{
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if( mEdges==null )
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{
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int nL = getNumLayers()[0];
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mEdges = new int[][]
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{
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genEdge(nL, 1, 2, 3, 4, 5, 6, 7, 8, 9,10, 11,12), // 0
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genEdge(nL,-1,-1, -1, 4, 5,-1, -1, 8, 9,-1, 11,-1), // 0L
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genEdge(nL,-1,-1, 3,-1, -1, 6, 7,-1, -1,10, -1,12), // 0R
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genEdge(nL,-1, 2, -1,-1, 5,-1, -1, 8, -1,10, -1,12), // 1L
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genEdge(nL, 1,-1, -1,-1, -1, 6, 7,-1, 9,-1, 11,-1), // 1R
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genEdge(nL, 1,-1, 3,-1, -1,-1, -1, 8, 9,-1, -1,12), // 2L
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genEdge(nL,-1, 2, -1, 4, -1,-1, 7,-1, -1,10, 11,-1), // 2R
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genEdge(nL,-1, 2, -1, 4, -1, 6, -1,-1, 9,-1, -1,12), // 3L
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genEdge(nL, 1,-1, 3,-1, 5,-1, -1,-1, -1,10, 11,-1), // 3R
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genEdge(nL, 1,-1, -1, 4, 5,-1, 7,-1, -1,-1, -1,12), // 4L
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genEdge(nL,-1, 2, 3,-1, 5,-1, -1, 8, -1,-1, 11,-1), // 4R
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genEdge(nL, 1,-1, -1, 4, -1, 6, -1, 8, -1,10, -1,-1), // 5L
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genEdge(nL,-1, 2, 3,-1, 5,-1, 7,-1, 9,-1, -1,-1), // 5R
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};
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}
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return mEdges;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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void initializeCornerV()
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{
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mBasicCornerV = new Static4D[3];
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mCurrCornerV = new Static4D[3];
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mBasicCornerV[0] = new Static4D( (SQ5+1)*0.375f, (SQ5-1)*0.375f, -0.750f, 0.0f );
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mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.375f, (SQ5-1)*0.375f, -0.750f, 0.0f );
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mBasicCornerV[2] = new Static4D( 0, -1.500f, 0.0f, 0.0f );
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// the five vertices that form a given face. Order: the same as colors of the faces in TwistyMinx.
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a662c27e
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public static int[][] initializeCenterMap()
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{
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return new int[][]
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{
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{ 0, 12, 8, 10, 16},
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{ 0, 12, 4, 14, 2},
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{ 0, 2, 18, 6, 16},
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{ 6, 18, 11, 19, 7},
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{ 3, 15, 9, 11, 19},
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{ 4, 5, 15, 9, 14},
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{ 1, 13, 5, 15, 3},
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{ 1, 3, 19, 7, 17},
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{10, 16, 6, 7, 17},
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{ 8, 13, 5, 4, 12},
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{ 1, 13, 8, 10, 17},
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{ 2, 14, 9, 11, 18},
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// the quadruple ( corner1, corner2, face1, face2 ) defining an edge.
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// In fact the 2 corners already define it, the faces only provide easy
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// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on
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// the 'left' or right of vector corner1 --> corner2, according to Quat.
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public static int[][] initializeEdgeMap()
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{
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return new int[][]
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{
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{ 2, 0, 1, 2}, //0
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{ 0, 12, 1, 0},
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{ 12, 4, 1, 9},
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{ 4, 14, 1, 5},
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{ 14, 2, 1, 11},
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{ 14, 9, 11, 5}, //5
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{ 9, 11, 11, 4},
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{ 11, 18, 11, 3},
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{ 18, 2, 11, 2},
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{ 18, 6, 2, 3},
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{ 6, 16, 2, 8}, //10
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{ 16, 0, 2, 0},
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{ 16, 10, 0, 8},
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{ 10, 8, 0, 10},
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{ 8, 12, 0, 9},
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{ 8, 13, 9, 10}, //15
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{ 13, 5, 9, 6},
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{ 5, 4, 9, 5},
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{ 5, 15, 5, 6},
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{ 15, 9, 5, 4},
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{ 11, 19, 3, 4}, //20
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{ 19, 7, 3, 7},
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{ 7, 6, 3, 8},
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{ 7, 17, 8, 7},
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{ 17, 10, 8, 10},
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{ 17, 1, 10, 7}, //25
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{ 1, 3, 6, 7},
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{ 3, 19, 4, 7},
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{ 1, 13, 10, 6},
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{ 3, 15, 6, 4},
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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void initializeQuatIndices()
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{
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mQuatEdgeIndices = new int[]
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{
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0, 17, 18, 19, 20, 56, 25, 5, 24, 16,
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9, 44, 1, 34, 35, 27, 41, 50, 26, 54,
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15, 49, 39, 28, 10, 2, 48, 6, 46, 3
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};
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mQuatCornerIndices = new int[]
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{
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0, 29, 59, 48, 18, 53, 22, 49, 11, 54,
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10, 52, 17, 27, 19, 26, 9, 28, 23, 45
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Coordinates of all 20 corners of a Minx
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public static float[][] initializeCorners()
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{
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float cA = 1.5f;
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float cB = 3*C2;
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float cC = 3*SIN54;
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22e5106b
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leszek
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return new float[][]
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{
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{ 0, cA, cB},
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{ 0, cA,-cB},
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{ 0,-cA, cB},
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{ 0,-cA,-cB},
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{ cB, 0, cA},
|
| 272 |
|
|
{ cB, 0,-cA},
|
| 273 |
|
|
{-cB, 0, cA},
|
| 274 |
|
|
{-cB, 0,-cA},
|
| 275 |
|
|
{ cA, cB, 0},
|
| 276 |
|
|
{ cA,-cB, 0},
|
| 277 |
|
|
{-cA, cB, 0},
|
| 278 |
|
|
{-cA,-cB, 0},
|
| 279 |
|
|
{ cC, cC, cC},
|
| 280 |
|
|
{ cC, cC,-cC},
|
| 281 |
|
|
{ cC,-cC, cC},
|
| 282 |
|
|
{ cC,-cC,-cC},
|
| 283 |
|
|
{-cC, cC, cC},
|
| 284 |
|
|
{-cC, cC,-cC},
|
| 285 |
|
|
{-cC,-cC, cC},
|
| 286 |
|
|
{-cC,-cC,-cC},
|
| 287 |
|
|
};
|
| 288 |
|
|
}
|
| 289 |
|
|
|
| 290 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 291 |
|
|
|
| 292 |
|
|
void initializeCenterCoords()
|
| 293 |
|
|
{
|
| 294 |
22e5106b
|
leszek
|
if( mCorners==null ) mCorners = initializeCorners();
|
| 295 |
a662c27e
|
leszek
|
if( mCenterMap==null ) mCenterMap = initializeCenterMap();
|
| 296 |
29b82486
|
Leszek Koltunski
|
|
| 297 |
|
|
mCenterCoords = new float[NUM_CENTERS][3];
|
| 298 |
|
|
|
| 299 |
|
|
for(int center=0; center<NUM_CENTERS; center++)
|
| 300 |
|
|
{
|
| 301 |
|
|
int[] map = mCenterMap[center];
|
| 302 |
|
|
|
| 303 |
|
|
float x = mCorners[map[0]][0] +
|
| 304 |
|
|
mCorners[map[1]][0] +
|
| 305 |
|
|
mCorners[map[2]][0] +
|
| 306 |
|
|
mCorners[map[3]][0] +
|
| 307 |
|
|
mCorners[map[4]][0] ;
|
| 308 |
|
|
|
| 309 |
|
|
float y = mCorners[map[0]][1] +
|
| 310 |
|
|
mCorners[map[1]][1] +
|
| 311 |
|
|
mCorners[map[2]][1] +
|
| 312 |
|
|
mCorners[map[3]][1] +
|
| 313 |
|
|
mCorners[map[4]][1] ;
|
| 314 |
|
|
|
| 315 |
|
|
float z = mCorners[map[0]][2] +
|
| 316 |
|
|
mCorners[map[1]][2] +
|
| 317 |
|
|
mCorners[map[2]][2] +
|
| 318 |
|
|
mCorners[map[3]][2] +
|
| 319 |
|
|
mCorners[map[4]][2] ;
|
| 320 |
|
|
|
| 321 |
|
|
mCenterCoords[center][0] = x/5;
|
| 322 |
|
|
mCenterCoords[center][1] = y/5;
|
| 323 |
|
|
mCenterCoords[center][2] = z/5;
|
| 324 |
|
|
}
|
| 325 |
|
|
}
|
| 326 |
|
|
|
| 327 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 328 |
|
|
|
| 329 |
|
|
float[][] genericGetCuts(int numLayers, float dist)
|
| 330 |
|
|
{
|
| 331 |
|
|
if( mCuts==null )
|
| 332 |
|
|
{
|
| 333 |
|
|
mCuts = new float[6][numLayers-1];
|
| 334 |
c9c71c3f
|
Leszek Koltunski
|
float D = numLayers* TouchControlDodecahedron.DIST3D;
|
| 335 |
29b82486
|
Leszek Koltunski
|
float X = 2*D/(2+SIN18); // height of the 'upper' part of a dodecahedron, i.e. put it on a table,
|
| 336 |
|
|
// its height is then 2D, it has one 'lower' part of height X, one
|
| 337 |
|
|
// 'middle' part of height Y and one upper part of height X again.
|
| 338 |
|
|
int num = (numLayers-1)/2;
|
| 339 |
|
|
float G = X*dist/num; // height of one Layer
|
| 340 |
|
|
|
| 341 |
|
|
for(int i=0; i<num; i++)
|
| 342 |
|
|
{
|
| 343 |
|
|
float cut = -D + (i+0.85f)*G; // 0.85? not fully correct; attempt to make it
|
| 344 |
|
|
// easier to rotate the outer layers
|
| 345 |
|
|
int j = 2*num-1-i;
|
| 346 |
9ba7f3f6
|
Leszek Koltunski
|
mCuts[0][i] = cut;
|
| 347 |
29b82486
|
Leszek Koltunski
|
mCuts[0][j] = -cut;
|
| 348 |
9ba7f3f6
|
Leszek Koltunski
|
mCuts[1][i] = cut;
|
| 349 |
29b82486
|
Leszek Koltunski
|
mCuts[1][j] = -cut;
|
| 350 |
9ba7f3f6
|
Leszek Koltunski
|
mCuts[2][i] = cut;
|
| 351 |
29b82486
|
Leszek Koltunski
|
mCuts[2][j] = -cut;
|
| 352 |
9ba7f3f6
|
Leszek Koltunski
|
mCuts[3][i] = cut;
|
| 353 |
29b82486
|
Leszek Koltunski
|
mCuts[3][j] = -cut;
|
| 354 |
9ba7f3f6
|
Leszek Koltunski
|
mCuts[4][i] = cut;
|
| 355 |
29b82486
|
Leszek Koltunski
|
mCuts[4][j] = -cut;
|
| 356 |
9ba7f3f6
|
Leszek Koltunski
|
mCuts[5][i] = cut;
|
| 357 |
29b82486
|
Leszek Koltunski
|
mCuts[5][j] = -cut;
|
| 358 |
|
|
}
|
| 359 |
|
|
}
|
| 360 |
|
|
|
| 361 |
|
|
return mCuts;
|
| 362 |
|
|
}
|
| 363 |
|
|
|
| 364 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 365 |
|
|
|
| 366 |
59c20632
|
Leszek Koltunski
|
public boolean[][] getLayerRotatable(int[] numLayers)
|
| 367 |
29b82486
|
Leszek Koltunski
|
{
|
| 368 |
59c20632
|
Leszek Koltunski
|
int numAxis = ROT_AXIS.length;
|
| 369 |
|
|
boolean[][] layerRotatable = new boolean[numAxis][];
|
| 370 |
a57e6870
|
Leszek Koltunski
|
|
| 371 |
59c20632
|
Leszek Koltunski
|
for(int i=0; i<numAxis; i++)
|
| 372 |
|
|
{
|
| 373 |
3739dd53
|
leszek
|
int num = numLayers[i];
|
| 374 |
|
|
layerRotatable[i] = new boolean[num];
|
| 375 |
|
|
for(int j=0; j<num; j++) layerRotatable[i][j] = true;
|
| 376 |
|
|
layerRotatable[i][num/2] = false;
|
| 377 |
29b82486
|
Leszek Koltunski
|
}
|
| 378 |
59c20632
|
Leszek Koltunski
|
|
| 379 |
|
|
return layerRotatable;
|
| 380 |
29b82486
|
Leszek Koltunski
|
}
|
| 381 |
|
|
|
| 382 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 383 |
|
|
|
| 384 |
11fa413d
|
Leszek Koltunski
|
public int getTouchControlType()
|
| 385 |
29b82486
|
Leszek Koltunski
|
{
|
| 386 |
c9c71c3f
|
Leszek Koltunski
|
return TC_DODECAHEDRON;
|
| 387 |
29b82486
|
Leszek Koltunski
|
}
|
| 388 |
|
|
|
| 389 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 390 |
|
|
|
| 391 |
11fa413d
|
Leszek Koltunski
|
public int getTouchControlSplit()
|
| 392 |
29b82486
|
Leszek Koltunski
|
{
|
| 393 |
59c20632
|
Leszek Koltunski
|
return TYPE_SPLIT_EDGE;
|
| 394 |
29b82486
|
Leszek Koltunski
|
}
|
| 395 |
|
|
|
| 396 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 397 |
|
|
|
| 398 |
59c20632
|
Leszek Koltunski
|
public int[][][] getEnabled()
|
| 399 |
29b82486
|
Leszek Koltunski
|
{
|
| 400 |
59c20632
|
Leszek Koltunski
|
return new int[][][]
|
| 401 |
|
|
{
|
| 402 |
|
|
{{2,3},{3,5},{1,5},{1,4},{2,4}},
|
| 403 |
|
|
{{0,5},{2,5},{2,3},{3,4},{0,4}},
|
| 404 |
|
|
{{2,3},{2,5},{0,5},{0,4},{3,4}},
|
| 405 |
|
|
{{1,5},{3,5},{2,3},{2,4},{1,4}},
|
| 406 |
|
|
{{0,3},{0,4},{4,5},{1,5},{1,3}},
|
| 407 |
|
|
{{1,2},{1,4},{4,5},{0,5},{0,2}},
|
| 408 |
|
|
{{4,5},{1,4},{1,2},{0,2},{0,5}},
|
| 409 |
|
|
{{4,5},{0,4},{0,3},{1,3},{1,5}},
|
| 410 |
|
|
{{0,2},{0,1},{1,3},{3,5},{2,5}},
|
| 411 |
|
|
{{3,4},{2,4},{1,2},{0,1},{0,3}},
|
| 412 |
|
|
{{2,4},{3,4},{0,3},{0,1},{1,2}},
|
| 413 |
|
|
{{1,3},{0,1},{0,2},{2,5},{3,5}},
|
| 414 |
|
|
};
|
| 415 |
29b82486
|
Leszek Koltunski
|
}
|
| 416 |
|
|
|
| 417 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 418 |
|
|
|
| 419 |
59c20632
|
Leszek Koltunski
|
public float[] getDist3D(int[] numLayers)
|
| 420 |
29b82486
|
Leszek Koltunski
|
{
|
| 421 |
4c9ca251
|
Leszek Koltunski
|
return TouchControlDodecahedron.D3D;
|
| 422 |
|
|
}
|
| 423 |
|
|
|
| 424 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 425 |
|
|
|
| 426 |
|
|
public Static3D[] getFaceAxis()
|
| 427 |
|
|
{
|
| 428 |
|
|
return TouchControlDodecahedron.FACE_AXIS;
|
| 429 |
59c20632
|
Leszek Koltunski
|
}
|
| 430 |
e6b45809
|
Leszek Koltunski
|
|
| 431 |
59c20632
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 432 |
|
|
// PUBLIC API
|
| 433 |
|
|
|
| 434 |
|
|
public Static3D[] getRotationAxis()
|
| 435 |
|
|
{
|
| 436 |
|
|
return ROT_AXIS;
|
| 437 |
29b82486
|
Leszek Koltunski
|
}
|
| 438 |
|
|
|
| 439 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 440 |
|
|
|
| 441 |
beee90ab
|
Leszek Koltunski
|
public int[][] getBasicAngles()
|
| 442 |
29b82486
|
Leszek Koltunski
|
{
|
| 443 |
d54d1f8a
|
Leszek Koltunski
|
if( mBasicAngle==null )
|
| 444 |
beee90ab
|
Leszek Koltunski
|
{
|
| 445 |
|
|
int num = getNumLayers()[0];
|
| 446 |
|
|
int[] tmp = new int[num];
|
| 447 |
|
|
for(int i=0; i<num; i++) tmp[i] = 5;
|
| 448 |
|
|
mBasicAngle = new int[][] { tmp,tmp,tmp,tmp,tmp,tmp };
|
| 449 |
|
|
}
|
| 450 |
|
|
|
| 451 |
29b82486
|
Leszek Koltunski
|
return mBasicAngle;
|
| 452 |
|
|
}
|
| 453 |
|
|
}
|