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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2022 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.helpers;
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import java.util.ArrayList;
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import static org.distorted.objectlib.bandaged.BandagedObjectMegaminx.MEGA_D;
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import static org.distorted.objectlib.bandaged.BandagedObjectMegaminx.SIN18;
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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 static org.distorted.objectlib.objects.TwistyBandagedMegaminx.KILOMINX3;
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import static org.distorted.objectlib.objects.TwistyBandagedMegaminx.KILOMINX5;
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import static org.distorted.objectlib.objects.TwistyBandagedMegaminx.MEGAMINX3;
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import static org.distorted.objectlib.objects.TwistyBandagedMegaminx.MEGAMINX5;
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import static org.distorted.objectlib.scrambling.ScrambleStateLocallyBandaged.MAX_SUPPORTED_SIZE;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.C2;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.COS54;
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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.helpers.QuatHelper;
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import org.distorted.objectlib.bandaged.BandagedObjectMegaminx;
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import org.distorted.objectlib.bandaged.FactoryBandagedMegaminx;
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import org.distorted.objectlib.bandaged.FactoryBandagedPyraminx;
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import org.distorted.objectlib.objects.TwistyBandagedMegaminx;
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import org.distorted.objectlib.objects.TwistyBandagedPyraminx;
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import org.distorted.objectlib.touchcontrol.TouchControlDodecahedron;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class ObjectSignature implements Comparable<ObjectSignature>
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{
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public static final int SIZE = computeNum();
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private static final float[][] mRotAxisPyraminx =
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{
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{ 0, -SQ3/3, -SQ6/3},
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{ 0, -SQ3/3, SQ6/3},
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{ SQ6/3, SQ3/3, 0},
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{-SQ6/3, SQ3/3, 0},
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};
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private static final float[][] mQuatsPyraminx =
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{
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{ 0, -0.5f, -SQ2/2, 0.5f },
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{ 0, -0.5f, SQ2/2, 0.5f },
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{ SQ2/2, 0.5f, 0, 0.5f },
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{-SQ2/2, 0.5f, 0, 0.5f },
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};
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private static final float[][] mRotAxisMegaminx =
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{
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{ C2/LEN, SIN54/LEN, 0 },
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{ -C2/LEN, SIN54/LEN, 0 },
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{ 0 , C2/LEN, SIN54/LEN },
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{ 0 , -C2/LEN, SIN54/LEN },
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{ SIN54/LEN, 0 , C2/LEN },
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{ SIN54/LEN, 0 , -C2/LEN }
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};
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private static final float[][] mQuatsMegaminx =
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{
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{ COS54* C2/LEN, COS54*SIN54/LEN, 0 , SIN54 },
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{ -COS54* C2/LEN, COS54*SIN54/LEN, 0 , SIN54 },
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{ 0 , COS54* C2/LEN, COS54*SIN54/LEN, SIN54 },
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{ 0 ,-COS54* C2/LEN, COS54*SIN54/LEN, SIN54 },
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{ COS54*SIN54/LEN, 0 , COS54* C2/LEN, SIN54 },
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{ COS54*SIN54/LEN, 0 ,-COS54* C2/LEN, SIN54 }
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};
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private long[] mSignature;
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private int[] mLayer;
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private int[] mFactoryLayer;
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private int[][][][] mCycles;
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private float[][] mCubitTouch;
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private int[][] mTouchRows;
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private int mNumCubitTouches;
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private int[] mNumLeftCyclesPerLayer;
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private int[] mNumCentCyclesPerLayer;
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private int[] mNumInneCyclesPerLayer;
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private String mName=null;
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private float[] mTmp;
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private int mParam;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// a cube of size N has 12*(N-1)^2 possible places two adjacent cubies can be 'glued'; therefore
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// the signature must contain ceil( 12*(N-1)^2 / 64 ) bytes.
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// a pyraminx of size N has 4 + 6*(N-1)(N-2) places two adjacent cubies can be 'glued' so much less.
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// Gigaminx has 540 such places (so more if N<=7)
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private static int computeNum()
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{
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int max = MAX_SUPPORTED_SIZE-1;
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int ret = (int)(0.99f + (12*max*max)/64.0f);
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int giga= (int)(0.99f + ( 540)/64.0f);
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return Math.max(ret,giga);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void setUpSignature(long[] signature)
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{
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int size = signature.length;
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int diff = SIZE-size;
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if( diff==0 ) mSignature = signature;
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else
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{
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mSignature = new long[SIZE];
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for(int i=0; i<size; i++) mSignature[diff+i] = signature[i];
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public ObjectSignature(ObjectSignature sig)
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{
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int len = sig.mSignature.length;
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mSignature = new long[len];
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for(int i=0; i<len; i++) mSignature[i] = sig.mSignature[i];
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mLayer = sig.mLayer;
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mCycles = sig.mCycles;
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mCubitTouch = sig.mCubitTouch;
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mTouchRows = sig.mTouchRows;
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mName = sig.mName;
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mTmp = sig.mTmp;
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mParam = sig.mParam;
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mFactoryLayer = sig.mFactoryLayer;
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mNumCubitTouches = sig.mNumCubitTouches;
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mNumCentCyclesPerLayer = sig.mNumCentCyclesPerLayer;
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mNumLeftCyclesPerLayer = sig.mNumLeftCyclesPerLayer;
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mNumInneCyclesPerLayer = sig.mNumInneCyclesPerLayer;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// built-in objects; objects created from JSON (version1)
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public ObjectSignature(long signature)
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{
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mSignature = new long[SIZE];
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mSignature[SIZE-1] = signature;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// locally created bandaged cuboids created from JSON (version2)
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// or locally created bandaged pyraminxes, or locally bandaged megaminxes.
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// How to tell apart: pyraminx's shortName starts with a 'P'; megaminx's shortName starts with a 'M'.
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public ObjectSignature(String shortName, long[] signature)
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{
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setUpSignature(signature);
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char name = shortName.charAt(0);
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if( name == TwistyBandagedPyraminx.MARKER )
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{
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mTmp = new float[4];
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int x=shortName.charAt(1)-'0';
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mLayer=new int[] {x,x,x,x};
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prepareCubitTouchPyraminx();
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prepareTouchRowsPyraminx();
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prepareAllCyclesPyraminx();
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}
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else if( name == TwistyBandagedMegaminx.MARKER )
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{
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mTmp = new float[4];
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mParam=shortName.charAt(1)-'0';
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int x=-1, y=-1;
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switch(mParam)
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{
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case 2: x=3; y=2; break;
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case 3: x=3; y=3; break;
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case 4: x=5; y=4; break;
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case 5: x=5; y=5; break;
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}
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mLayer=new int[] {x,x,x,x,x,x};
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mFactoryLayer=new int[] {y,y,y,y,y,y};
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prepareCubitTouchMegaminx();
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prepareTouchRowsMegaminx();
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prepareAllCyclesMegaminx();
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}
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else
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{
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int x=shortName.charAt(0)-'0';
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int y=shortName.charAt(1)-'0';
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int z=shortName.charAt(2)-'0';
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mLayer=new int[] {x,y,z};
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prepareCubitTouchCuboid();
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prepareTouchRowsCuboid();
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prepareAllCyclesCuboid();
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// BAN*** objects when read from JSON
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public ObjectSignature(int size, long[] signature)
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{
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setUpSignature(signature);
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mLayer = new int[] {size,size,size};
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prepareCubitTouchCuboid();
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prepareTouchRowsCuboid();
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prepareAllCyclesCuboid();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// other objects created from JSON (version2)
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public ObjectSignature(long[] signature)
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{
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setUpSignature(signature);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Locally created bandaged cuboids 1<=N,M,K<=7
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// This is the 'Andreas signature' of a bandaged cube.
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// https://twistypuzzles.com/forum/viewtopic.php?p=415466#p415466
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public ObjectSignature(int lenx, int leny, int lenz, float[][] position)
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{
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mLayer = new int[] {lenx,leny,lenz};
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mSignature = new long[SIZE];
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prepareCubitTouchCuboid();
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for(float[] pos : position)
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{
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int numCenters = pos.length/3;
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for(int i=0; i<numCenters; i++)
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{
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float xi = pos[3*i ];
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float yi = pos[3*i+1];
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float zi = pos[3*i+2];
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for(int j=i+1; j<numCenters; j++)
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{
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float xj = pos[3*j ];
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float yj = pos[3*j+1];
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float zj = pos[3*j+2];
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if(areNeighboursCuboid(xi-xj,yi-yj,zi-zj))
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{
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float xc = (xi+xj)/2;
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float yc = (yi+yj)/2;
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float zc = (zi+zj)/2;
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int bitIndex = getIndexOfCubitTouch(xc,yc,zc);
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setBit(bitIndex,1);
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}
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}
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Locally created bandaged pyraminxes 1<=N<=7
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public ObjectSignature(int len, float[][] position)
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{
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mTmp = new float[4];
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mLayer = new int[] {len,len,len,len};
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mSignature = new long[SIZE];
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prepareCubitTouchPyraminx();
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for(float[] pos : position)
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{
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int numCenters = pos.length/3;
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for(int i=0; i<numCenters; i++)
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{
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float xi = pos[3*i ];
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float yi = pos[3*i+1];
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float zi = pos[3*i+2];
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for(int j=i+1; j<numCenters; j++)
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{
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float xj = pos[3*j ];
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float yj = pos[3*j+1];
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float zj = pos[3*j+2];
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if( areNeighboursPyraminx(xi-xj,yi-yj,zi-zj) )
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{
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boolean octa = FactoryBandagedPyraminx.isOctahedron(len,yi);
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float xc,yc,zc;
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if( octa )
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{
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xc = (xi+2*xj)/3;
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yc = (yi+2*yj)/3;
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zc = (zi+2*zj)/3;
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}
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else
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{
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xc = (2*xi+xj)/3;
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yc = (2*yi+yj)/3;
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zc = (2*zi+zj)/3;
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}
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int bitIndex = getIndexOfCubitTouch(xc,yc,zc);
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setBit(bitIndex,1);
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}
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}
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Locally created bandaged megaminxes size 2<=N<=5
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public ObjectSignature(float[][] position, int param)
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{
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int x=-1;
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switch(param)
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{
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case KILOMINX3: x=3; mParam=2; break;
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case MEGAMINX3: x=3; mParam=3; break;
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case KILOMINX5: x=5; mParam=4; break;
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case MEGAMINX5: x=5; mParam=5; break;
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}
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mLayer=new int[] {x,x,x,x,x,x};
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mFactoryLayer=new int[] {mParam,mParam,mParam,mParam,mParam,mParam};
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mSignature = new long[SIZE];
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mTmp = new float[4];
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prepareCubitTouchMegaminx();
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for(float[] pos : position)
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{
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int numCenters = pos.length/3;
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for(int i=0; i<numCenters; i++)
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{
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float xi = pos[3*i ];
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float yi = pos[3*i+1];
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float zi = pos[3*i+2];
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for(int j=i+1; j<numCenters; j++)
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{
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float xj = pos[3*j ];
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float yj = pos[3*j+1];
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float zj = pos[3*j+2];
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365
|
if( areNeighboursMegaminx(param,xi-xj,yi-yj,zi-zj) )
|
|
366
|
{
|
|
367
|
float xc = (xi+xj)/2; // TODO
|
|
368
|
float yc = (yi+yj)/2;
|
|
369
|
float zc = (zi+zj)/2;
|
|
370
|
|
|
371
|
int bitIndex = getIndexOfCubitTouch(xc,yc,zc);
|
|
372
|
setBit(bitIndex,1);
|
|
373
|
}
|
|
374
|
}
|
|
375
|
}
|
|
376
|
}
|
|
377
|
}
|
|
378
|
|
|
379
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
380
|
|
|
381
|
public void setSignature(int signature)
|
|
382
|
{
|
|
383
|
for(int i=0; i<SIZE-1; i++) mSignature[i]=0;
|
|
384
|
mSignature[SIZE-1] = signature;
|
|
385
|
}
|
|
386
|
|
|
387
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
388
|
|
|
389
|
public int compareTo(ObjectSignature sig)
|
|
390
|
{
|
|
391
|
for(int i=0; i<SIZE; i++)
|
|
392
|
{
|
|
393
|
long diff = mSignature[i] - sig.mSignature[i];
|
|
394
|
|
|
395
|
if( diff>0 ) return +1;
|
|
396
|
else if( diff<0 ) return -1;
|
|
397
|
}
|
|
398
|
|
|
399
|
return 0;
|
|
400
|
}
|
|
401
|
|
|
402
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
403
|
|
|
404
|
public boolean isEqual(ObjectSignature sig)
|
|
405
|
{
|
|
406
|
for(int i=0; i<SIZE; i++)
|
|
407
|
{
|
|
408
|
if( mSignature[i] != sig.mSignature[i] ) return false;
|
|
409
|
}
|
|
410
|
|
|
411
|
return true;
|
|
412
|
}
|
|
413
|
|
|
414
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
415
|
|
|
416
|
public long[] getArray()
|
|
417
|
{
|
|
418
|
return mSignature;
|
|
419
|
}
|
|
420
|
|
|
421
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
422
|
|
|
423
|
public String getString()
|
|
424
|
{
|
|
425
|
if( mName==null )
|
|
426
|
{
|
|
427
|
StringBuilder sb = new StringBuilder();
|
|
428
|
|
|
429
|
for(int i=0; i<SIZE; i++)
|
|
430
|
{
|
|
431
|
String sig = String.format("0x%016X", mSignature[i]);
|
|
432
|
if( i>0 ) sb.append('_');
|
|
433
|
sb.append(sig);
|
|
434
|
}
|
|
435
|
|
|
436
|
mName = sb.toString();
|
|
437
|
}
|
|
438
|
|
|
439
|
return mName;
|
|
440
|
}
|
|
441
|
|
|
442
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
443
|
|
|
444
|
public boolean isUnblockedFromLeft(int axis, int layer)
|
|
445
|
{
|
|
446
|
if(layer>0)
|
|
447
|
{
|
|
448
|
int[] touch = mTouchRows[axis];
|
|
449
|
|
|
450
|
for( int index=0; index<mNumCubitTouches; index++)
|
|
451
|
if( touch[index]==layer && getBit(index)!=0 ) return false;
|
|
452
|
}
|
|
453
|
|
|
454
|
return true;
|
|
455
|
}
|
|
456
|
|
|
457
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
458
|
|
|
459
|
public ObjectSignature turn(int axis, int layer, int turn)
|
|
460
|
{
|
|
461
|
ObjectSignature ret = new ObjectSignature(this);
|
|
462
|
|
|
463
|
// I don't understand it, but Firebase shows mCycles is occasionally null here.
|
|
464
|
if( mCycles!=null && mCycles[axis]!=null )
|
|
465
|
{
|
|
466
|
int[][] cycles = mCycles[axis][layer];
|
|
467
|
|
|
468
|
// it can happen that there are no cycles in this layer: 2x1x2 axis 0 layer 0.
|
|
469
|
if( cycles!=null && cycles.length>0 && cycles[0]!=null )
|
|
470
|
{
|
|
471
|
if( cycles[0].length==5 ) for(int[] cyc : cycles) ret.cycle5(turn,cyc);
|
|
472
|
else if( cycles[0].length==4 ) for(int[] cyc : cycles) ret.cycle4(turn,cyc);
|
|
473
|
else if( cycles[0].length==3 ) for(int[] cyc : cycles) ret.cycle3(turn,cyc);
|
|
474
|
else if( cycles[0].length==2 ) for(int[] cyc : cycles) ret.cycle2(cyc);
|
|
475
|
}
|
|
476
|
}
|
|
477
|
|
|
478
|
return ret;
|
|
479
|
}
|
|
480
|
|
|
481
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
482
|
|
|
483
|
private void cycle2(int[] cyc)
|
|
484
|
{
|
|
485
|
int index0 = cyc[0];
|
|
486
|
int index1 = cyc[1];
|
|
487
|
|
|
488
|
long b0 = getBit(index0);
|
|
489
|
long b1 = getBit(index1);
|
|
490
|
|
|
491
|
setBit(index1,b0);
|
|
492
|
setBit(index0,b1);
|
|
493
|
}
|
|
494
|
|
|
495
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
496
|
|
|
497
|
private void cycle3(int turn, int[] cyc)
|
|
498
|
{
|
|
499
|
int index0 = cyc[0];
|
|
500
|
int index1 = cyc[1];
|
|
501
|
int index2 = cyc[2];
|
|
502
|
|
|
503
|
long b0 = getBit(index0);
|
|
504
|
long b1 = getBit(index1);
|
|
505
|
long b2 = getBit(index2);
|
|
506
|
|
|
507
|
switch(turn)
|
|
508
|
{
|
|
509
|
case 1: setBit(index0,b2);
|
|
510
|
setBit(index1,b0);
|
|
511
|
setBit(index2,b1);
|
|
512
|
break;
|
|
513
|
case 2: setBit(index0,b1);
|
|
514
|
setBit(index1,b2);
|
|
515
|
setBit(index2,b0);
|
|
516
|
break;
|
|
517
|
}
|
|
518
|
}
|
|
519
|
|
|
520
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
521
|
|
|
522
|
private void cycle4(int turn, int[] cyc)
|
|
523
|
{
|
|
524
|
int index0 = cyc[0];
|
|
525
|
int index1 = cyc[1];
|
|
526
|
int index2 = cyc[2];
|
|
527
|
int index3 = cyc[3];
|
|
528
|
|
|
529
|
long b0 = getBit(index0);
|
|
530
|
long b1 = getBit(index1);
|
|
531
|
long b2 = getBit(index2);
|
|
532
|
long b3 = getBit(index3);
|
|
533
|
|
|
534
|
switch(turn)
|
|
535
|
{
|
|
536
|
case 1: setBit(index0,b3);
|
|
537
|
setBit(index1,b0);
|
|
538
|
setBit(index2,b1);
|
|
539
|
setBit(index3,b2);
|
|
540
|
break;
|
|
541
|
case 2: setBit(index0,b2);
|
|
542
|
setBit(index1,b3);
|
|
543
|
setBit(index2,b0);
|
|
544
|
setBit(index3,b1);
|
|
545
|
break;
|
|
546
|
case 3: setBit(index0,b1);
|
|
547
|
setBit(index1,b2);
|
|
548
|
setBit(index2,b3);
|
|
549
|
setBit(index3,b0);
|
|
550
|
break;
|
|
551
|
}
|
|
552
|
}
|
|
553
|
|
|
554
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
555
|
|
|
556
|
private void cycle5(int turn, int[] cyc)
|
|
557
|
{
|
|
558
|
int index0 = cyc[0];
|
|
559
|
int index1 = cyc[1];
|
|
560
|
int index2 = cyc[2];
|
|
561
|
int index3 = cyc[3];
|
|
562
|
int index4 = cyc[4];
|
|
563
|
|
|
564
|
long b0 = getBit(index0);
|
|
565
|
long b1 = getBit(index1);
|
|
566
|
long b2 = getBit(index2);
|
|
567
|
long b3 = getBit(index3);
|
|
568
|
long b4 = getBit(index4);
|
|
569
|
|
|
570
|
switch(turn)
|
|
571
|
{
|
|
572
|
case 1: setBit(index0,b4);
|
|
573
|
setBit(index1,b0);
|
|
574
|
setBit(index2,b1);
|
|
575
|
setBit(index3,b2);
|
|
576
|
setBit(index4,b3);
|
|
577
|
break;
|
|
578
|
case 2: setBit(index0,b3);
|
|
579
|
setBit(index1,b4);
|
|
580
|
setBit(index2,b0);
|
|
581
|
setBit(index3,b1);
|
|
582
|
setBit(index4,b2);
|
|
583
|
break;
|
|
584
|
case 3: setBit(index0,b2);
|
|
585
|
setBit(index1,b3);
|
|
586
|
setBit(index2,b4);
|
|
587
|
setBit(index3,b0);
|
|
588
|
setBit(index4,b1);
|
|
589
|
break;
|
|
590
|
case 4: setBit(index0,b1);
|
|
591
|
setBit(index1,b2);
|
|
592
|
setBit(index2,b3);
|
|
593
|
setBit(index3,b4);
|
|
594
|
setBit(index4,b0);
|
|
595
|
break;
|
|
596
|
}
|
|
597
|
}
|
|
598
|
|
|
599
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
600
|
|
|
601
|
private void prepareCubitTouchCuboid()
|
|
602
|
{
|
|
603
|
int numCenters = mLayer[0]*mLayer[1]*mLayer[2];
|
|
604
|
if( mLayer[0]>1 && mLayer[1]>1 && mLayer[2]>1 ) numCenters -= (mLayer[0]-2)*(mLayer[1]-2)*(mLayer[2]-2);
|
|
605
|
|
|
606
|
float[][] centers = new float[numCenters][];
|
|
607
|
int index = 0;
|
|
608
|
|
|
609
|
for(int i=0; i<mLayer[0]; i++)
|
|
610
|
for(int j=0; j<mLayer[1]; j++)
|
|
611
|
for(int k=0; k<mLayer[2]; k++)
|
|
612
|
if( (i==0) || (i==mLayer[0]-1) || (j==0) || (j==mLayer[1]-1) || (k==0) || (k==mLayer[2]-1) )
|
|
613
|
{
|
|
614
|
centers[index++] = new float[] { i+0.5f*(1-mLayer[0]), j+0.5f*(1-mLayer[1]), k+0.5f*(1-mLayer[2]) };
|
|
615
|
}
|
|
616
|
|
|
617
|
ArrayList<float[]> mTouch = new ArrayList<>();
|
|
618
|
|
|
619
|
for(int i=0; i<numCenters; i++)
|
|
620
|
for(int j=i+1; j<numCenters; j++)
|
|
621
|
{
|
|
622
|
float[] c0 = centers[i];
|
|
623
|
float[] c1 = centers[j];
|
|
624
|
|
|
625
|
float x1 = c0[0];
|
|
626
|
float y1 = c0[1];
|
|
627
|
float z1 = c0[2];
|
|
628
|
float x2 = c1[0];
|
|
629
|
float y2 = c1[1];
|
|
630
|
float z2 = c1[2];
|
|
631
|
|
|
632
|
if( areNeighboursCuboid(x1-x2,y1-y2,z1-z2) )
|
|
633
|
{
|
|
634
|
float xc = (x1+x2)/2;
|
|
635
|
float yc = (y1+y2)/2;
|
|
636
|
float zc = (z1+z2)/2;
|
|
637
|
|
|
638
|
float[] touch = new float[] {xc,yc,zc};
|
|
639
|
mTouch.add(touch);
|
|
640
|
}
|
|
641
|
}
|
|
642
|
|
|
643
|
mNumCubitTouches = mTouch.size();
|
|
644
|
mCubitTouch = new float[mNumCubitTouches][];
|
|
645
|
for(int i=0; i<mNumCubitTouches; i++) mCubitTouch[i] = mTouch.remove(0);
|
|
646
|
|
|
647
|
// now sort the touches so that the order agrees with 'Andreas signature' as defined here:
|
|
648
|
// https://twistypuzzles.com/forum/viewtopic.php?p=415466#p415466
|
|
649
|
// i.e. we need to sort by Y first (increasing) then by Z (decreasing) then by X (decreasing)
|
|
650
|
// i.e. we need to sort by 100Y-10Z-X (increasing)
|
|
651
|
|
|
652
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
653
|
{
|
|
654
|
float[] ci = mCubitTouch[i];
|
|
655
|
float val_i = 100*ci[1]-10*ci[2]-ci[0];
|
|
656
|
|
|
657
|
for(int j=i+1; j<mNumCubitTouches; j++)
|
|
658
|
{
|
|
659
|
float[] cj = mCubitTouch[j];
|
|
660
|
float val_j = 100*cj[1]-10*cj[2]-cj[0];
|
|
661
|
|
|
662
|
if( val_j<val_i )
|
|
663
|
{
|
|
664
|
mCubitTouch[i] = cj;
|
|
665
|
mCubitTouch[j] = ci;
|
|
666
|
val_i = val_j;
|
|
667
|
ci = cj;
|
|
668
|
}
|
|
669
|
}
|
|
670
|
}
|
|
671
|
}
|
|
672
|
|
|
673
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
674
|
|
|
675
|
private void prepareTouchRowsCuboid()
|
|
676
|
{
|
|
677
|
mTouchRows = new int[3][mNumCubitTouches];
|
|
678
|
|
|
679
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
680
|
{
|
|
681
|
float[] touch = mCubitTouch[i];
|
|
682
|
|
|
683
|
for(int a=0; a<3; a++)
|
|
684
|
{
|
|
685
|
int l = (int)(2*touch[a] + mLayer[a] + 0.01f);
|
|
686
|
mTouchRows[a][i] = ( (l%2)==0 ) ? l/2 : -1;
|
|
687
|
}
|
|
688
|
}
|
|
689
|
}
|
|
690
|
|
|
691
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
692
|
|
|
693
|
private void prepareAllCyclesCuboid()
|
|
694
|
{
|
|
695
|
ArrayList<float[][]> cycles0 = new ArrayList<>();
|
|
696
|
ArrayList<float[][]> cycles1 = new ArrayList<>();
|
|
697
|
ArrayList<float[][]> cycles2 = new ArrayList<>();
|
|
698
|
|
|
699
|
mNumLeftCyclesPerLayer = new int[3];
|
|
700
|
mNumCentCyclesPerLayer = new int[3];
|
|
701
|
mNumInneCyclesPerLayer = new int[3];
|
|
702
|
|
|
703
|
if( mLayer[1]==mLayer[2] ) generate4Cycles(cycles0,0);
|
|
704
|
else generate2Cycles(cycles0,0);
|
|
705
|
if( mLayer[0]==mLayer[2] ) generate4Cycles(cycles1,1);
|
|
706
|
else generate2Cycles(cycles1,1);
|
|
707
|
if( mLayer[0]==mLayer[1] ) generate4Cycles(cycles2,2);
|
|
708
|
else generate2Cycles(cycles2,2);
|
|
709
|
|
|
710
|
mCycles = new int[3][][][];
|
|
711
|
|
|
712
|
mCycles[0] = fillUpCyclesCuboid(cycles0,0,mLayer[0]);
|
|
713
|
mCycles[1] = fillUpCyclesCuboid(cycles1,1,mLayer[1]);
|
|
714
|
mCycles[2] = fillUpCyclesCuboid(cycles2,2,mLayer[2]);
|
|
715
|
}
|
|
716
|
|
|
717
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
718
|
|
|
719
|
private void generate4Cycles(ArrayList<float[][]> cycles, int axis)
|
|
720
|
{
|
|
721
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
722
|
{
|
|
723
|
int i0 = rotateIndex4(axis,i);
|
|
724
|
if( i0<=i ) continue;
|
|
725
|
int i1 = rotateIndex4(axis,i0);
|
|
726
|
if( i1<=i ) continue;
|
|
727
|
int i2 = rotateIndex4(axis,i1);
|
|
728
|
if( i2<=i ) continue;
|
|
729
|
|
|
730
|
float[] f0 = getCubitTouchOfIndex(i);
|
|
731
|
float[] f1 = getCubitTouchOfIndex(i0);
|
|
732
|
float[] f2 = getCubitTouchOfIndex(i1);
|
|
733
|
float[] f3 = getCubitTouchOfIndex(i2);
|
|
734
|
|
|
735
|
int l = (int)(2*f0[axis]+mLayer[axis]);
|
|
736
|
|
|
737
|
if( l==2 ) mNumLeftCyclesPerLayer[axis]++;
|
|
738
|
if( l==1 ) mNumCentCyclesPerLayer[axis]++;
|
|
739
|
if( mLayer[axis]>2 && l==3 ) mNumInneCyclesPerLayer[axis]++;
|
|
740
|
|
|
741
|
float[][] cycle = new float[][] { f0,f1,f2,f3 };
|
|
742
|
cycles.add(cycle);
|
|
743
|
}
|
|
744
|
}
|
|
745
|
|
|
746
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
747
|
|
|
748
|
private void generate2Cycles(ArrayList<float[][]> cycles, int axis)
|
|
749
|
{
|
|
750
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
751
|
{
|
|
752
|
int i0 = rotateIndex2(axis,i);
|
|
753
|
if( i0<=i ) continue;
|
|
754
|
|
|
755
|
float[] f0 = getCubitTouchOfIndex(i);
|
|
756
|
float[] f1 = getCubitTouchOfIndex(i0);
|
|
757
|
|
|
758
|
int l = (int)(2*f0[axis]+mLayer[axis]);
|
|
759
|
|
|
760
|
if( l==2 ) mNumLeftCyclesPerLayer[axis]++;
|
|
761
|
if( l==1 ) mNumCentCyclesPerLayer[axis]++;
|
|
762
|
if( mLayer[axis]>2 && l==3 ) mNumInneCyclesPerLayer[axis]++;
|
|
763
|
|
|
764
|
float[][] cycle = new float[][] { f0,f1 };
|
|
765
|
cycles.add(cycle);
|
|
766
|
}
|
|
767
|
}
|
|
768
|
|
|
769
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
770
|
|
|
771
|
private int[][][] fillUpCyclesCuboid(ArrayList<float[][]> cyc, int axis, int numLayers)
|
|
772
|
{
|
|
773
|
int numCycles = cyc.size();
|
|
774
|
int[] index = new int[numLayers];
|
|
775
|
|
|
776
|
int numFirst = mNumCentCyclesPerLayer[axis];
|
|
777
|
int numNext = mNumLeftCyclesPerLayer[axis] + mNumInneCyclesPerLayer[axis];
|
|
778
|
int numLast = mNumLeftCyclesPerLayer[axis] + numFirst;
|
|
779
|
|
|
780
|
int[][][] ret = new int[numLayers][][];
|
|
781
|
ret[ 0] = new int[numFirst][];
|
|
782
|
ret[numLayers-1] = new int[numLast][];
|
|
783
|
|
|
784
|
for(int i=1; i<numLayers-1; i++) ret[i] = new int[numNext][];
|
|
785
|
|
|
786
|
for(int i=0; i<numCycles; i++)
|
|
787
|
{
|
|
788
|
float[][] cycle = cyc.remove(0);
|
|
789
|
int layer = (int)(cycle[0][axis]+numLayers*0.5f + 0.01f);
|
|
790
|
int i0 = getIndexOfCubitTouch(cycle[0][0],cycle[0][1],cycle[0][2]);
|
|
791
|
int i1 = getIndexOfCubitTouch(cycle[1][0],cycle[1][1],cycle[1][2]);
|
|
792
|
|
|
793
|
if( cycle.length==4 )
|
|
794
|
{
|
|
795
|
int i2 = getIndexOfCubitTouch(cycle[2][0],cycle[2][1],cycle[2][2]);
|
|
796
|
int i3 = getIndexOfCubitTouch(cycle[3][0],cycle[3][1],cycle[3][2]);
|
|
797
|
ret[layer][index[layer]] = new int[] {i0,i1,i2,i3};
|
|
798
|
}
|
|
799
|
else
|
|
800
|
{
|
|
801
|
ret[layer][index[layer]] = new int[] {i0,i1};
|
|
802
|
}
|
|
803
|
index[layer]++;
|
|
804
|
}
|
|
805
|
|
|
806
|
return ret;
|
|
807
|
}
|
|
808
|
|
|
809
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
810
|
|
|
811
|
private int rotateIndex4(int axis, int index)
|
|
812
|
{
|
|
813
|
float[] touch = getCubitTouchOfIndex(index);
|
|
814
|
|
|
815
|
switch(axis)
|
|
816
|
{
|
|
817
|
case 0: return getIndexOfCubitTouch(+touch[0],+touch[2],-touch[1]);
|
|
818
|
case 1: return getIndexOfCubitTouch(-touch[2],+touch[1],+touch[0]);
|
|
819
|
case 2: return getIndexOfCubitTouch(+touch[1],-touch[0],+touch[2]);
|
|
820
|
}
|
|
821
|
|
|
822
|
return -1;
|
|
823
|
}
|
|
824
|
|
|
825
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
826
|
|
|
827
|
private int rotateIndex2(int axis, int index)
|
|
828
|
{
|
|
829
|
float[] touch = getCubitTouchOfIndex(index);
|
|
830
|
|
|
831
|
switch(axis)
|
|
832
|
{
|
|
833
|
case 0: return getIndexOfCubitTouch(+touch[0],-touch[1],-touch[2]);
|
|
834
|
case 1: return getIndexOfCubitTouch(-touch[0],+touch[1],-touch[2]);
|
|
835
|
case 2: return getIndexOfCubitTouch(-touch[0],-touch[1],+touch[2]);
|
|
836
|
}
|
|
837
|
|
|
838
|
return -1;
|
|
839
|
}
|
|
840
|
|
|
841
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
842
|
|
|
843
|
private void prepareCubitTouchPyraminx()
|
|
844
|
{
|
|
845
|
float[][][] centers = FactoryBandagedPyraminx.createPositions(mLayer[0]);
|
|
846
|
float[][] octs = centers[0];
|
|
847
|
float[][] tets = centers[1];
|
|
848
|
|
|
849
|
ArrayList<float[]> mTouch = new ArrayList<>();
|
|
850
|
|
|
851
|
for(float[] oct : octs)
|
|
852
|
for(float[] tet : tets)
|
|
853
|
{
|
|
854
|
float ox=oct[0];
|
|
855
|
float oy=oct[1];
|
|
856
|
float oz=oct[2];
|
|
857
|
float tx=tet[0];
|
|
858
|
float ty=tet[1];
|
|
859
|
float tz=tet[2];
|
|
860
|
|
|
861
|
if( areNeighboursPyraminx(ox-tx, oy-ty, oz-tz) )
|
|
862
|
{
|
|
863
|
float xc=(2*tx+ox)/3;
|
|
864
|
float yc=(2*ty+oy)/3;
|
|
865
|
float zc=(2*tz+oz)/3;
|
|
866
|
|
|
867
|
float[] touch = new float[] {xc, yc, zc};
|
|
868
|
mTouch.add(touch);
|
|
869
|
}
|
|
870
|
}
|
|
871
|
|
|
872
|
mNumCubitTouches = mTouch.size();
|
|
873
|
mCubitTouch = new float[mNumCubitTouches][];
|
|
874
|
for(int i=0; i<mNumCubitTouches; i++) mCubitTouch[i] = mTouch.remove(0);
|
|
875
|
}
|
|
876
|
|
|
877
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
878
|
|
|
879
|
private void prepareTouchRowsPyraminx()
|
|
880
|
{
|
|
881
|
mTouchRows = new int[4][mNumCubitTouches];
|
|
882
|
int num = mLayer[0];
|
|
883
|
final int N = 10;
|
|
884
|
|
|
885
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
886
|
{
|
|
887
|
float[] touch = mCubitTouch[i];
|
|
888
|
|
|
889
|
for(int a=0; a<4; a++)
|
|
890
|
{
|
|
891
|
float[] ax = mRotAxisPyraminx[a];
|
|
892
|
float l = whichLayerPyraminx(touch,ax,num);
|
|
893
|
int ll = (int)(N*l);
|
|
894
|
mTouchRows[a][i] = ( (ll%N)==0 ) ? ll/N : -1;
|
|
895
|
}
|
|
896
|
}
|
|
897
|
}
|
|
898
|
|
|
899
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
900
|
|
|
901
|
private void prepareAllCyclesPyraminx()
|
|
902
|
{
|
|
903
|
ArrayList<float[][]> cycles0 = new ArrayList<>();
|
|
904
|
ArrayList<float[][]> cycles1 = new ArrayList<>();
|
|
905
|
ArrayList<float[][]> cycles2 = new ArrayList<>();
|
|
906
|
ArrayList<float[][]> cycles3 = new ArrayList<>();
|
|
907
|
|
|
908
|
generate3CyclesPyraminx(cycles0,0);
|
|
909
|
generate3CyclesPyraminx(cycles1,1);
|
|
910
|
generate3CyclesPyraminx(cycles2,2);
|
|
911
|
generate3CyclesPyraminx(cycles3,3);
|
|
912
|
|
|
913
|
mCycles = new int[4][][][];
|
|
914
|
|
|
915
|
int numLayers = mLayer[0];
|
|
916
|
mCycles[0] = fillUpCyclesPyraminx(cycles0,0,numLayers);
|
|
917
|
mCycles[1] = fillUpCyclesPyraminx(cycles1,1,numLayers);
|
|
918
|
mCycles[2] = fillUpCyclesPyraminx(cycles2,2,numLayers);
|
|
919
|
mCycles[3] = fillUpCyclesPyraminx(cycles3,3,numLayers);
|
|
920
|
}
|
|
921
|
|
|
922
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
923
|
|
|
924
|
private void generate3CyclesPyraminx(ArrayList<float[][]> cycles, int ax)
|
|
925
|
{
|
|
926
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
927
|
{
|
|
928
|
int i0 = rotateIndex3(ax,i);
|
|
929
|
if( i0<=i ) continue;
|
|
930
|
int i1 = rotateIndex3(ax,i0);
|
|
931
|
if( i1<=i ) continue;
|
|
932
|
|
|
933
|
float[] f0 = getCubitTouchOfIndex(i);
|
|
934
|
float[] f1 = getCubitTouchOfIndex(i0);
|
|
935
|
float[] f2 = getCubitTouchOfIndex(i1);
|
|
936
|
|
|
937
|
float[][] cycle = new float[][] { f0,f1,f2 };
|
|
938
|
cycles.add(cycle);
|
|
939
|
}
|
|
940
|
}
|
|
941
|
|
|
942
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
943
|
|
|
944
|
private int[][][] fillUpCyclesPyraminx(ArrayList<float[][]> cyc, int axis, int numLayers)
|
|
945
|
{
|
|
946
|
int numCycles = cyc.size();
|
|
947
|
int[] index = new int[numLayers];
|
|
948
|
int[] numC = new int[numLayers];
|
|
949
|
float[] ax = mRotAxisPyraminx[axis];
|
|
950
|
|
|
951
|
for(int i=0; i<numCycles; i++)
|
|
952
|
{
|
|
953
|
float[][] cycle = cyc.get(i);
|
|
954
|
int layer = (int)whichLayerPyraminx(cycle[0],ax,numLayers);
|
|
955
|
numC[layer]++;
|
|
956
|
}
|
|
957
|
|
|
958
|
int[][][] ret = new int[numLayers][][];
|
|
959
|
for(int i=0; i<numLayers; i++) ret[i] = new int[numC[i]][];
|
|
960
|
|
|
961
|
for(int i=0; i<numCycles; i++)
|
|
962
|
{
|
|
963
|
float[][] cycle = cyc.remove(0);
|
|
964
|
int layer = (int)whichLayerPyraminx(cycle[0],ax,numLayers);
|
|
965
|
|
|
966
|
int i0 = getIndexOfCubitTouch(cycle[0][0],cycle[0][1],cycle[0][2]);
|
|
967
|
int i1 = getIndexOfCubitTouch(cycle[1][0],cycle[1][1],cycle[1][2]);
|
|
968
|
int i2 = getIndexOfCubitTouch(cycle[2][0],cycle[2][1],cycle[2][2]);
|
|
969
|
|
|
970
|
ret[layer][index[layer]] = new int[] {i0,i1,i2};
|
|
971
|
index[layer]++;
|
|
972
|
}
|
|
973
|
|
|
974
|
return ret;
|
|
975
|
}
|
|
976
|
|
|
977
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
978
|
|
|
979
|
private float whichLayerPyraminx(float[] point, float[] ax, int numLayers)
|
|
980
|
{
|
|
981
|
float d = point[0]*ax[0] + point[1]*ax[1] + point[2]*ax[2];
|
|
982
|
float r = (SQ6/2)*d + numLayers*0.25f + 0.001f;
|
|
983
|
return r>=numLayers ? numLayers-0.001f : r;
|
|
984
|
}
|
|
985
|
|
|
986
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
987
|
|
|
988
|
private int rotateIndex3(int ax, int index)
|
|
989
|
{
|
|
990
|
float[] touch = getCubitTouchOfIndex(index);
|
|
991
|
QuatHelper.rotateVectorByQuat(mTmp, touch[0], touch[1], touch[2], 1.0f, mQuatsPyraminx[ax]);
|
|
992
|
return getIndexOfCubitTouch(mTmp[0],mTmp[1],mTmp[2]);
|
|
993
|
}
|
|
994
|
|
|
995
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
996
|
|
|
997
|
private float[] getPosition(int index, float[][][] centers, int len)
|
|
998
|
{
|
|
999
|
int num = 0, i1=0, i2=0;
|
|
1000
|
|
|
1001
|
for(int i=0; i<len; i++)
|
|
1002
|
{
|
|
1003
|
int t = centers[i].length;
|
|
1004
|
|
|
1005
|
if( t > index-num )
|
|
1006
|
{
|
|
1007
|
i1 = i;
|
|
1008
|
i2 = index-num;
|
|
1009
|
break;
|
|
1010
|
}
|
|
1011
|
else
|
|
1012
|
{
|
|
1013
|
num += t;
|
|
1014
|
}
|
|
1015
|
}
|
|
1016
|
|
|
1017
|
return centers[i1][i2];
|
|
1018
|
}
|
|
1019
|
|
|
1020
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1021
|
|
|
1022
|
private void prepareCubitTouchMegaminx()
|
|
1023
|
{
|
|
1024
|
FactoryBandagedMegaminx factory = FactoryBandagedMegaminx.getInstance();
|
|
1025
|
float[][][] centers = factory.getPositions(mFactoryLayer);
|
|
1026
|
int size = mFactoryLayer[0];
|
|
1027
|
float scale = 0.0f;
|
|
1028
|
|
|
1029
|
switch(size)
|
|
1030
|
{
|
|
1031
|
case 2: scale = 1.50f; break;
|
|
1032
|
case 3: scale = 1.00f; break;
|
|
1033
|
case 4: scale = 1.25f; break;
|
|
1034
|
case 5: scale = 1.00f; break;
|
|
1035
|
}
|
|
1036
|
|
|
1037
|
int numCubits=0;
|
|
1038
|
int numVariants = centers.length;
|
|
1039
|
for(float[][] center : centers) numCubits += center.length;
|
|
1040
|
|
|
1041
|
ArrayList<float[]> mTouch = new ArrayList<>();
|
|
1042
|
|
|
1043
|
for(int i=0; i<numCubits; i++)
|
|
1044
|
{
|
|
1045
|
float[] first = getPosition(i,centers,numVariants);
|
|
1046
|
|
|
1047
|
for(int j = i+1; j<numCubits; j++)
|
|
1048
|
{
|
|
1049
|
float[] second = getPosition(j,centers,numVariants);
|
|
1050
|
|
|
1051
|
float ox = scale*first[0];
|
|
1052
|
float oy = scale*first[1];
|
|
1053
|
float oz = scale*first[2];
|
|
1054
|
float tx = scale*second[0];
|
|
1055
|
float ty = scale*second[1];
|
|
1056
|
float tz = scale*second[2];
|
|
1057
|
|
|
1058
|
if( areNeighboursMegaminx(size, ox-tx, oy-ty, oz-tz) )
|
|
1059
|
{
|
|
1060
|
float xc = (tx+ox)/2; // TODO; wrong
|
|
1061
|
float yc = (ty+oy)/2;
|
|
1062
|
float zc = (tz+oz)/2;
|
|
1063
|
|
|
1064
|
float[] touch = new float[] {xc, yc, zc};
|
|
1065
|
mTouch.add(touch);
|
|
1066
|
}
|
|
1067
|
}
|
|
1068
|
}
|
|
1069
|
|
|
1070
|
mNumCubitTouches = mTouch.size();
|
|
1071
|
mCubitTouch = new float[mNumCubitTouches][];
|
|
1072
|
for(int i=0; i<mNumCubitTouches; i++) mCubitTouch[i] = mTouch.remove(0);
|
|
1073
|
}
|
|
1074
|
|
|
1075
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1076
|
|
|
1077
|
private void prepareTouchRowsMegaminx()
|
|
1078
|
{
|
|
1079
|
mTouchRows = new int[6][mNumCubitTouches];
|
|
1080
|
int num = mFactoryLayer[0];
|
|
1081
|
final int N = 10;
|
|
1082
|
|
|
1083
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
1084
|
{
|
|
1085
|
float[] touch = mCubitTouch[i];
|
|
1086
|
|
|
1087
|
for(int a=0; a<6; a++)
|
|
1088
|
{
|
|
1089
|
float[] ax = mRotAxisMegaminx[a];
|
|
1090
|
float l = whichLayerMegaminx(touch,ax,num);
|
|
1091
|
int ll = (int)(N*l);
|
|
1092
|
mTouchRows[a][i] = ( (ll%N)==0 ) ? ll/N : -1;
|
|
1093
|
}
|
|
1094
|
}
|
|
1095
|
}
|
|
1096
|
|
|
1097
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1098
|
|
|
1099
|
private void prepareAllCyclesMegaminx()
|
|
1100
|
{
|
|
1101
|
ArrayList<float[][]> cycles0 = new ArrayList<>();
|
|
1102
|
ArrayList<float[][]> cycles1 = new ArrayList<>();
|
|
1103
|
ArrayList<float[][]> cycles2 = new ArrayList<>();
|
|
1104
|
ArrayList<float[][]> cycles3 = new ArrayList<>();
|
|
1105
|
ArrayList<float[][]> cycles4 = new ArrayList<>();
|
|
1106
|
ArrayList<float[][]> cycles5 = new ArrayList<>();
|
|
1107
|
|
|
1108
|
generate5CyclesMegaminx(cycles0,0);
|
|
1109
|
generate5CyclesMegaminx(cycles1,1);
|
|
1110
|
generate5CyclesMegaminx(cycles2,2);
|
|
1111
|
generate5CyclesMegaminx(cycles3,3);
|
|
1112
|
generate5CyclesMegaminx(cycles4,4);
|
|
1113
|
generate5CyclesMegaminx(cycles5,5);
|
|
1114
|
|
|
1115
|
mCycles = new int[6][][][];
|
|
1116
|
|
|
1117
|
int param = mFactoryLayer[0];
|
|
1118
|
int numLayers = mLayer[0];
|
|
1119
|
mCycles[0] = fillUpCyclesMegaminx(cycles0,0,numLayers,param);
|
|
1120
|
mCycles[1] = fillUpCyclesMegaminx(cycles1,1,numLayers,param);
|
|
1121
|
mCycles[2] = fillUpCyclesMegaminx(cycles2,2,numLayers,param);
|
|
1122
|
mCycles[3] = fillUpCyclesMegaminx(cycles3,3,numLayers,param);
|
|
1123
|
mCycles[4] = fillUpCyclesMegaminx(cycles4,4,numLayers,param);
|
|
1124
|
mCycles[5] = fillUpCyclesMegaminx(cycles5,5,numLayers,param);
|
|
1125
|
}
|
|
1126
|
|
|
1127
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1128
|
|
|
1129
|
private void generate5CyclesMegaminx(ArrayList<float[][]> cycles, int ax)
|
|
1130
|
{
|
|
1131
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
1132
|
{
|
|
1133
|
int i0 = rotateIndex5(ax,i);
|
|
1134
|
if( i0<=i ) continue;
|
|
1135
|
int i1 = rotateIndex5(ax,i0);
|
|
1136
|
if( i1<=i ) continue;
|
|
1137
|
int i2 = rotateIndex5(ax,i1);
|
|
1138
|
if( i2<=i ) continue;
|
|
1139
|
int i3 = rotateIndex5(ax,i2);
|
|
1140
|
if( i3<=i ) continue;
|
|
1141
|
|
|
1142
|
float[] f0 = getCubitTouchOfIndex(i);
|
|
1143
|
float[] f1 = getCubitTouchOfIndex(i0);
|
|
1144
|
float[] f2 = getCubitTouchOfIndex(i1);
|
|
1145
|
float[] f3 = getCubitTouchOfIndex(i2);
|
|
1146
|
float[] f4 = getCubitTouchOfIndex(i3);
|
|
1147
|
|
|
1148
|
float[][] cycle = new float[][] { f0,f1,f2,f3,f4 };
|
|
1149
|
cycles.add(cycle);
|
|
1150
|
}
|
|
1151
|
}
|
|
1152
|
|
|
1153
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1154
|
// param 2 3 4 5
|
|
1155
|
// numL 3 3 5 5
|
|
1156
|
|
|
1157
|
private int[][][] fillUpCyclesMegaminx(ArrayList<float[][]> cyc, int axis, int numL, int param)
|
|
1158
|
{
|
|
1159
|
int numCycles = cyc.size();
|
|
1160
|
int[] index = new int[numL];
|
|
1161
|
int[] numC = new int[numL];
|
|
1162
|
float[] ax = mRotAxisMegaminx[axis];
|
|
1163
|
|
|
1164
|
for(int i=0; i<numCycles; i++)
|
|
1165
|
{
|
|
1166
|
float[][] cycle = cyc.get(i);
|
|
1167
|
int layer = (int)whichLayerMegaminx(cycle[0],ax,param);
|
|
1168
|
numC[layer]++;
|
|
1169
|
}
|
|
1170
|
|
|
1171
|
int[][][] ret = new int[numL][][];
|
|
1172
|
for(int i=0; i<numL; i++) ret[i] = new int[numC[i]][];
|
|
1173
|
|
|
1174
|
for(int i=0; i<numCycles; i++)
|
|
1175
|
{
|
|
1176
|
float[][] cycle = cyc.remove(0);
|
|
1177
|
int layer = (int)whichLayerMegaminx(cycle[0],ax,param);
|
|
1178
|
|
|
1179
|
int i0 = getIndexOfCubitTouch(cycle[0][0],cycle[0][1],cycle[0][2]);
|
|
1180
|
int i1 = getIndexOfCubitTouch(cycle[1][0],cycle[1][1],cycle[1][2]);
|
|
1181
|
int i2 = getIndexOfCubitTouch(cycle[2][0],cycle[2][1],cycle[2][2]);
|
|
1182
|
int i3 = getIndexOfCubitTouch(cycle[3][0],cycle[3][1],cycle[3][2]);
|
|
1183
|
int i4 = getIndexOfCubitTouch(cycle[4][0],cycle[4][1],cycle[4][2]);
|
|
1184
|
|
|
1185
|
ret[layer][index[layer]] = new int[] {i0,i1,i2,i3,i4};
|
|
1186
|
index[layer]++;
|
|
1187
|
}
|
|
1188
|
|
|
1189
|
return ret;
|
|
1190
|
}
|
|
1191
|
|
|
1192
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1193
|
|
|
1194
|
private float whichLayerMegaminx(float[] point, float[] ax, int numLayers)
|
|
1195
|
{
|
|
1196
|
float d = point[0]*ax[0] + point[1]*ax[1] + point[2]*ax[2];
|
|
1197
|
float C = 0.85f;
|
|
1198
|
|
|
1199
|
switch(numLayers)
|
|
1200
|
{
|
|
1201
|
case 2: return (d*LEN)/(6*C2*SIN54) + 1.5f;
|
|
1202
|
case 3: float D3 = 3*TouchControlDodecahedron.DIST3D;
|
|
1203
|
float X3 = 2*D3/(2+SIN18);
|
|
1204
|
float G3 = X3*(0.5f-MEGA_D);
|
|
1205
|
float cut3 = -D3 + C*G3;
|
|
1206
|
return d<-cut3 ? 0 : d<cut3 ? 1:2;
|
|
1207
|
case 4: float D4 = 5*TouchControlDodecahedron.DIST3D;
|
|
1208
|
float X4 = 2*D4/(2+SIN18);
|
|
1209
|
float G4 = X4*0.25f;
|
|
1210
|
float cut41 = -D4 + C*G4;
|
|
1211
|
float cut42 = -D4 + (1+C)*G4;
|
|
1212
|
return d<-cut41 ? 0 : d<-cut42 ? 1: d<cut42 ? 2: d<cut41 ? 3:4;
|
|
1213
|
case 5: float D5 = 5*TouchControlDodecahedron.DIST3D;
|
|
1214
|
float X5 = 2*D5/(2+SIN18);
|
|
1215
|
float G5 = X5*(0.5f-MEGA_D)/2;
|
|
1216
|
float cut51 = -D5 + C*G5;
|
|
1217
|
float cut52 = -D5 + (1+C)*G5;
|
|
1218
|
return d<-cut51 ? 0 : d<-cut52 ? 1: d<cut52 ? 2: d<cut51 ? 3:4;
|
|
1219
|
}
|
|
1220
|
|
|
1221
|
return 0;
|
|
1222
|
}
|
|
1223
|
|
|
1224
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1225
|
|
|
1226
|
private int rotateIndex5(int ax, int index)
|
|
1227
|
{
|
|
1228
|
float[] touch = getCubitTouchOfIndex(index);
|
|
1229
|
QuatHelper.rotateVectorByQuat(mTmp, touch[0], touch[1], touch[2], 1.0f, mQuatsMegaminx[ax]);
|
|
1230
|
return getIndexOfCubitTouch(mTmp[0],mTmp[1],mTmp[2]);
|
|
1231
|
}
|
|
1232
|
|
|
1233
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1234
|
|
|
1235
|
private int getIndexOfCubitTouch(float x, float y, float z)
|
|
1236
|
{
|
|
1237
|
for(int i=0; i<mNumCubitTouches; i++)
|
|
1238
|
{
|
|
1239
|
float[] touch = mCubitTouch[i];
|
|
1240
|
|
|
1241
|
float dx = touch[0] - x;
|
|
1242
|
float dy = touch[1] - y;
|
|
1243
|
float dz = touch[2] - z;
|
|
1244
|
|
|
1245
|
if( dx*dx + dy*dy + dz*dz < 0.01f ) return i;
|
|
1246
|
}
|
|
1247
|
|
|
1248
|
return -1;
|
|
1249
|
}
|
|
1250
|
|
|
1251
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1252
|
|
|
1253
|
private float[] getCubitTouchOfIndex(int index)
|
|
1254
|
{
|
|
1255
|
return mCubitTouch[index];
|
|
1256
|
}
|
|
1257
|
|
|
1258
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1259
|
|
|
1260
|
private boolean areNeighboursCuboid(float dx, float dy, float dz)
|
|
1261
|
{
|
|
1262
|
return dx*dx+dy*dy+dz*dz < 1.01f;
|
|
1263
|
}
|
|
1264
|
|
|
1265
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1266
|
|
|
1267
|
private boolean areNeighboursPyraminx(float dx, float dy, float dz)
|
|
1268
|
{
|
|
1269
|
return dx*dx+dy*dy+dz*dz < SQ6/4 + 0.01f;
|
|
1270
|
}
|
|
1271
|
|
|
1272
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1273
|
|
|
1274
|
private boolean areNeighboursMegaminx(int size, float dx, float dy, float dz)
|
|
1275
|
{
|
|
1276
|
float fact = size==2 ? 1.5f : (size==4 ? 1.25f : 1.0f);
|
|
1277
|
|
|
1278
|
dx /= fact;
|
|
1279
|
dy /= fact;
|
|
1280
|
dz /= fact;
|
|
1281
|
|
|
1282
|
return BandagedObjectMegaminx.isAdjacent(size,dx,dy,dz);
|
|
1283
|
}
|
|
1284
|
|
|
1285
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1286
|
|
|
1287
|
private long getBit(int index)
|
|
1288
|
{
|
|
1289
|
int sigIndex = SIZE-1-(index/64);
|
|
1290
|
return (mSignature[sigIndex]>>(index%64))&0x1;
|
|
1291
|
}
|
|
1292
|
|
|
1293
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1294
|
|
|
1295
|
private void setBit(int index, long bit)
|
|
1296
|
{
|
|
1297
|
long diff = (1L<<(index%64));
|
|
1298
|
int sigIndex = SIZE-1-(index/64);
|
|
1299
|
if( bit!=0 ) mSignature[sigIndex] |= diff;
|
|
1300
|
else mSignature[sigIndex] &=~diff;
|
|
1301
|
}
|
|
1302
|
}
|