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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 org.distorted.objectlib.main.ObjectType;
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import static org.distorted.objectlib.scrambling.ScrambleStateBandagedCuboid.MAX_SUPPORTED_SIZE;
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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 long[] mSignature;
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private int[] mLayer;
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private int[][][][] mCycles;
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private float[][] mCubitTouch;
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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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///////////////////////////////////////////////////////////////////////////////////////////////////
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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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private static int computeNum()
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{
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int max = MAX_SUPPORTED_SIZE-1;
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return (int)(0.95f + (3*max*max)/16.0f);
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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++)
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{
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mSignature[diff+i] = signature[i];
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// built-in objects
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public ObjectSignature(ObjectType type)
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{
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mSignature = new long[SIZE];
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mSignature[SIZE-1] = type.ordinal();
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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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mName = sig.mName;
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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 bandaged 3x3s; 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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public ObjectSignature(String shortName, long[] signature)
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{
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setUpSignature(signature);
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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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prepareCubitTouch();
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prepareAllCycles();
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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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prepareCubitTouch();
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prepareAllCycles();
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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(areNeighbours(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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public void setSignature(int signature)
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{
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for(int i=0; i<SIZE-1; i++) mSignature[i]=0;
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mSignature[SIZE-1] = signature;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int compareTo(ObjectSignature sig)
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{
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for(int i=0; i<SIZE; i++)
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{
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long diff = mSignature[i] - sig.mSignature[i];
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if( diff>0 ) return +1;
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else if( diff<0 ) return -1;
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}
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return 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public boolean isEqual(ObjectSignature sig)
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{
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for(int i=0; i<SIZE; i++)
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{
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if( mSignature[i] != sig.mSignature[i] ) return false;
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}
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public long[] getArray()
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{
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return mSignature;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public String getString()
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{
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if( mName==null )
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{
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StringBuilder sb = new StringBuilder();
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for(int i=0; i<SIZE; i++)
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{
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String sig = String.format("0x%016X", mSignature[i]);
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if( i>0 ) sb.append('_');
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sb.append(sig);
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}
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mName = sb.toString();
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}
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return mName;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public boolean isUnblockedFromLeft(int axis, int layer)
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{
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if(layer>0)
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for(int index=0; index<mNumCubitTouches; index++)
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if( getBit(index)!=0 )
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{
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float[] touch = getCubitTouchOfIndex(index);
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if( belongsLeft(touch,axis,layer) ) return false;
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}
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public ObjectSignature turn(int axis, int layer, int turn)
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{
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ObjectSignature ret = new ObjectSignature(this);
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// I don't understand it, but Firebase shows mCycles is occasionally null here.
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if( mCycles!=null && mCycles[axis]!=null )
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{
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int[][] cycles = mCycles[axis][layer];
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// it can happen that there are no cycles in this layer: 2x1x2 axis 0 layer 0.
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if( cycles!=null && cycles.length>0 && cycles[0]!=null )
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{
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if( cycles[0].length==4 ) for(int[] cyc : cycles) ret.cycle4(turn,cyc);
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else for(int[] cyc : cycles) ret.cycle2(cyc);
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}
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}
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean belongsLeft(float[] point, int axis, int layer)
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{
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return 2*point[axis]+mLayer[axis] == 2*layer;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void cycle2(int[] cyc)
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{
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int index0 = cyc[0];
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int index1 = cyc[1];
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long b0 = getBit(index0);
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long b1 = getBit(index1);
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setBit(index1,b0);
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setBit(index0,b1);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void cycle4(int turn, int[] cyc)
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{
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int index0 = cyc[0];
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int index1 = cyc[1];
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int index2 = cyc[2];
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int index3 = cyc[3];
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long b0 = getBit(index0);
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long b1 = getBit(index1);
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long b2 = getBit(index2);
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long b3 = getBit(index3);
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switch(turn)
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{
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case 1: setBit(index0,b3);
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setBit(index1,b0);
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setBit(index2,b1);
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setBit(index3,b2);
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break;
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case 2: setBit(index0,b2);
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setBit(index1,b3);
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setBit(index2,b0);
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setBit(index3,b1);
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break;
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case 3: setBit(index0,b1);
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setBit(index1,b2);
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setBit(index2,b3);
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setBit(index3,b0);
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break;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void prepareCubitTouch()
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{
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int numCenters = mLayer[0]*mLayer[1]*mLayer[2];
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if( mLayer[0]>1 && mLayer[1]>1 && mLayer[2]>1 ) numCenters -= (mLayer[0]-2)*(mLayer[1]-2)*(mLayer[2]-2);
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float[][] centers = new float[numCenters][];
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int index = 0;
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for(int i=0; i<mLayer[0]; i++)
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for(int j=0; j<mLayer[1]; j++)
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for(int k=0; k<mLayer[2]; k++)
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if( (i==0) || (i==mLayer[0]-1) || (j==0) || (j==mLayer[1]-1) || (k==0) || (k==mLayer[2]-1) )
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{
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centers[index++] = new float[] { i+0.5f*(1-mLayer[0]), j+0.5f*(1-mLayer[1]), k+0.5f*(1-mLayer[2]) };
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}
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ArrayList<float[]> mTouch = new ArrayList<>();
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for(int i=0; i<numCenters; i++)
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for(int j=i+1; j<numCenters; j++)
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{
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float[] c0 = centers[i];
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float[] c1 = centers[j];
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float x1 = c0[0];
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float y1 = c0[1];
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float z1 = c0[2];
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float x2 = c1[0];
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float y2 = c1[1];
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float z2 = c1[2];
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if( areNeighbours(x1-x2,y1-y2,z1-z2) )
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{
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float xc = (x1+x2)/2;
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float yc = (y1+y2)/2;
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float zc = (z1+z2)/2;
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float[] touch = new float[] {xc,yc,zc};
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mTouch.add(touch);
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}
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}
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mNumCubitTouches = mTouch.size();
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mCubitTouch = new float[mNumCubitTouches][];
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for(int i=0; i<mNumCubitTouches; i++) mCubitTouch[i] = mTouch.remove(0);
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// now sort the touches so that the order agrees with 'Andreas signature' as defined here:
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// https://twistypuzzles.com/forum/viewtopic.php?p=415466#p415466
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// i.e. we need to sort by Y first (increasing) then by Z (decreasing) then by X (decreasing)
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// i.e. we need to sort by 100Y-10Z-X (increasing)
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for(int i=0; i<mNumCubitTouches; i++)
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{
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float[] ci = mCubitTouch[i];
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float val_i = 100*ci[1]-10*ci[2]-ci[0];
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for(int j=i+1; j<mNumCubitTouches; j++)
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{
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float[] cj = mCubitTouch[j];
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float val_j = 100*cj[1]-10*cj[2]-cj[0];
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if( val_j<val_i )
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{
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mCubitTouch[i] = cj;
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mCubitTouch[j] = ci;
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val_i = val_j;
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ci = cj;
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}
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void prepareAllCycles()
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{
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ArrayList<float[][]> cycles0 = new ArrayList<>();
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ArrayList<float[][]> cycles1 = new ArrayList<>();
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ArrayList<float[][]> cycles2 = new ArrayList<>();
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mNumLeftCyclesPerLayer = new int[3];
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mNumCentCyclesPerLayer = new int[3];
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mNumInneCyclesPerLayer = new int[3];
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if( mLayer[1]==mLayer[2] ) generate4Cycles(cycles0,0);
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else generate2Cycles(cycles0,0);
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if( mLayer[0]==mLayer[2] ) generate4Cycles(cycles1,1);
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else generate2Cycles(cycles1,1);
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if( mLayer[0]==mLayer[1] ) generate4Cycles(cycles2,2);
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else generate2Cycles(cycles2,2);
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mCycles = new int[3][][][];
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mCycles[0] = fillUpCycles(cycles0,0,mLayer[0]);
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mCycles[1] = fillUpCycles(cycles1,1,mLayer[1]);
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mCycles[2] = fillUpCycles(cycles2,2,mLayer[2]);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void generate4Cycles(ArrayList<float[][]> cycles, int axis)
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{
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for(int i=0; i<mNumCubitTouches; i++)
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{
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int i0 = rotateIndex(axis,i);
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if( i0<=i ) continue;
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int i1 = rotateIndex(axis,i0);
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if( i1<=i ) continue;
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int i2 = rotateIndex(axis,i1);
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if( i2<=i ) continue;
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float[] f0 = getCubitTouchOfIndex(i);
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float[] f1 = getCubitTouchOfIndex(i0);
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float[] f2 = getCubitTouchOfIndex(i1);
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float[] f3 = getCubitTouchOfIndex(i2);
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int l = (int)(2*f0[axis]+mLayer[axis]);
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if( l==2 ) mNumLeftCyclesPerLayer[axis]++;
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if( l==1 ) mNumCentCyclesPerLayer[axis]++;
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if( mLayer[axis]>2 && l==3 ) mNumInneCyclesPerLayer[axis]++;
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float[][] cycle = new float[][] { f0,f1,f2,f3 };
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cycles.add(cycle);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void generate2Cycles(ArrayList<float[][]> cycles, int axis)
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{
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456
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for(int i=0; i<mNumCubitTouches; i++)
|
457
|
{
|
458
|
int i0 = rotateIndex2(axis,i);
|
459
|
if( i0<=i ) continue;
|
460
|
|
461
|
float[] f0 = getCubitTouchOfIndex(i);
|
462
|
float[] f1 = getCubitTouchOfIndex(i0);
|
463
|
|
464
|
int l = (int)(2*f0[axis]+mLayer[axis]);
|
465
|
|
466
|
if( l==2 ) mNumLeftCyclesPerLayer[axis]++;
|
467
|
if( l==1 ) mNumCentCyclesPerLayer[axis]++;
|
468
|
if( mLayer[axis]>2 && l==3 ) mNumInneCyclesPerLayer[axis]++;
|
469
|
|
470
|
float[][] cycle = new float[][] { f0,f1 };
|
471
|
cycles.add(cycle);
|
472
|
}
|
473
|
}
|
474
|
|
475
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
476
|
|
477
|
private int[][][] fillUpCycles(ArrayList<float[][]> cyc, int axis, int numLayers)
|
478
|
{
|
479
|
int numCycles = cyc.size();
|
480
|
int[] index = new int[numLayers];
|
481
|
|
482
|
int numFirst = mNumCentCyclesPerLayer[axis];
|
483
|
int numNext = mNumLeftCyclesPerLayer[axis] + mNumInneCyclesPerLayer[axis];
|
484
|
int numLast = mNumLeftCyclesPerLayer[axis] + numFirst;
|
485
|
|
486
|
int[][][] ret = new int[numLayers][][];
|
487
|
ret[ 0] = new int[numFirst][];
|
488
|
ret[numLayers-1] = new int[numLast][];
|
489
|
|
490
|
for(int i=1; i<numLayers-1; i++) ret[i] = new int[numNext][];
|
491
|
|
492
|
for(int i=0; i<numCycles; i++)
|
493
|
{
|
494
|
float[][] cycle = cyc.remove(0);
|
495
|
int layer = (int)(cycle[0][axis]+numLayers*0.5f);
|
496
|
|
497
|
if( cycle.length==4 )
|
498
|
{
|
499
|
int i0 = getIndexOfCubitTouch(cycle[0][0],cycle[0][1],cycle[0][2]);
|
500
|
int i1 = getIndexOfCubitTouch(cycle[1][0],cycle[1][1],cycle[1][2]);
|
501
|
int i2 = getIndexOfCubitTouch(cycle[2][0],cycle[2][1],cycle[2][2]);
|
502
|
int i3 = getIndexOfCubitTouch(cycle[3][0],cycle[3][1],cycle[3][2]);
|
503
|
ret[layer][index[layer]] = new int[] {i0,i1,i2,i3};
|
504
|
index[layer]++;
|
505
|
}
|
506
|
else
|
507
|
{
|
508
|
int i0 = getIndexOfCubitTouch(cycle[0][0],cycle[0][1],cycle[0][2]);
|
509
|
int i1 = getIndexOfCubitTouch(cycle[1][0],cycle[1][1],cycle[1][2]);
|
510
|
ret[layer][index[layer]] = new int[] {i0,i1};
|
511
|
index[layer]++;
|
512
|
}
|
513
|
}
|
514
|
|
515
|
return ret;
|
516
|
}
|
517
|
|
518
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
519
|
|
520
|
private int rotateIndex(int axis, int index)
|
521
|
{
|
522
|
float[] touch = getCubitTouchOfIndex(index);
|
523
|
|
524
|
switch(axis)
|
525
|
{
|
526
|
case 0: return getIndexOfCubitTouch(+touch[0],+touch[2],-touch[1]);
|
527
|
case 1: return getIndexOfCubitTouch(-touch[2],+touch[1],+touch[0]);
|
528
|
case 2: return getIndexOfCubitTouch(+touch[1],-touch[0],+touch[2]);
|
529
|
}
|
530
|
|
531
|
return -1;
|
532
|
}
|
533
|
|
534
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
535
|
|
536
|
private int rotateIndex2(int axis, int index)
|
537
|
{
|
538
|
float[] touch = getCubitTouchOfIndex(index);
|
539
|
|
540
|
switch(axis)
|
541
|
{
|
542
|
case 0: return getIndexOfCubitTouch(+touch[0],-touch[1],-touch[2]);
|
543
|
case 1: return getIndexOfCubitTouch(-touch[0],+touch[1],-touch[2]);
|
544
|
case 2: return getIndexOfCubitTouch(-touch[0],-touch[1],+touch[2]);
|
545
|
}
|
546
|
|
547
|
return -1;
|
548
|
}
|
549
|
|
550
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
551
|
|
552
|
private int getIndexOfCubitTouch(float x, float y, float z)
|
553
|
{
|
554
|
for(int i=0; i<mNumCubitTouches; i++)
|
555
|
{
|
556
|
float[] touch = mCubitTouch[i];
|
557
|
if( touch[0]==x && touch[1]==y && touch[2]==z ) return i;
|
558
|
}
|
559
|
|
560
|
return -1;
|
561
|
}
|
562
|
|
563
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
564
|
|
565
|
private float[] getCubitTouchOfIndex(int index)
|
566
|
{
|
567
|
return mCubitTouch[index];
|
568
|
}
|
569
|
|
570
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
571
|
|
572
|
private boolean areNeighbours(float dx, float dy, float dz)
|
573
|
{
|
574
|
return dx*dx+dy*dy+dz*dz<1.1f;
|
575
|
}
|
576
|
|
577
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
578
|
|
579
|
private long getBit(int index)
|
580
|
{
|
581
|
int sigIndex = SIZE-1-(index/64);
|
582
|
return (mSignature[sigIndex]>>(index%64))&0x1;
|
583
|
}
|
584
|
|
585
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
586
|
|
587
|
private void setBit(int index, long bit)
|
588
|
{
|
589
|
long diff = (1L<<(index%64));
|
590
|
int sigIndex = SIZE-1-(index/64);
|
591
|
if( bit!=0 ) mSignature[sigIndex] |= diff;
|
592
|
else mSignature[sigIndex] &=~diff;
|
593
|
}
|
594
|
}
|