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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2021 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 free software: you can redistribute it and/or modify //
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// it under the terms of the GNU General Public License as published by //
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// the Free Software Foundation, either version 2 of the License, or //
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// (at your option) any later version. //
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// //
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// Magic Cube is distributed in the hope that it will be useful, //
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// but WITHOUT ANY WARRANTY; without even the implied warranty of //
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
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// GNU General Public License for more details. //
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// //
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// You should have received a copy of the GNU General Public License //
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// along with Magic Cube. If not, see <http://www.gnu.org/licenses/>. //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objectlib;
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import java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyObjectScrambler
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{
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private final ScrambleState[] mStates;
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private final int mType;
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private final int mNumAxis;
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private final int mNumLayers;
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// type=0, i.e. main
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private int mCurrState;
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private int mIndexExcluded;
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private int[][] mScrambleTable;
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private int[] mNumOccurences;
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// type=1, i.e. the exception: Square-1
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private static final int BASIC_ANGLE = 12;
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private static final int LAST_SL = 0; // automatic rotations: last rot was a 'slash' i.e. along ROT_AXIS[1]
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private static final int LAST_UP = 1; // last rot was along ROT_AXIS[0], upper layer and forelast was a slash
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private static final int LAST_LO = 2; // last rot was along ROT_AXIS[0], lower layer and forelast was a slash
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private static final int LAST_UL = 3; // two last rots were along ROT_AXIS[0] (so the next must be a slash)
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private int[][] mPermittedAngles;
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private int[] mCornerQuat;
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private int mPermittedUp, mPermittedDo;
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private int[][] mBadCornerQuats;
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private int mLastRot;
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private int[][] mQuatMult;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyObjectScrambler(int type, int numAxis, int numLayers, ScrambleState[] states)
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{
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mType = type;
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mNumAxis = numAxis;
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mNumLayers = numLayers;
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mStates = states;
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if( mType==1 )
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{
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mPermittedAngles = new int[2][BASIC_ANGLE];
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mCornerQuat = new int[8];
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mLastRot = LAST_SL;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// QUATS[i]*QUATS[j] = QUATS[QUAT_MULT[i][j]]
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void initializeQuatMult()
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{
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mQuatMult = new int[][]
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{
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{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,},
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{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 12,},
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{ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 12, 13,},
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{ 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 15, 16, 17, 18, 19, 20, 21, 22, 23, 12, 13, 14,},
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{ 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 16, 17, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15,},
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{ 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 17, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16,},
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{ 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17,},
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{ 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 18,},
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{ 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 18, 19,},
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{ 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 21, 22, 23, 12, 13, 14, 15, 16, 17, 18, 19, 20,},
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{ 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 23, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,},
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{ 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 23, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,},
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{ 12, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1,},
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{ 13, 12, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2,},
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{ 14, 13, 12, 23, 22, 21, 20, 19, 18, 17, 16, 15, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3,},
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{ 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 17, 16, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4,},
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{ 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 17, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5,},
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{ 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6,},
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{ 18, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7,},
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{ 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8,},
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{ 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 21, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9,},
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{ 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10,},
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{ 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11,},
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{ 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,}
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void initializeScrambling()
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{
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if( mScrambleTable ==null )
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{
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mScrambleTable = new int[mNumAxis][mNumLayers];
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}
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if( mNumOccurences ==null )
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{
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int max=0;
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for (ScrambleState mState : mStates)
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{
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int tmp = mState.getTotal(-1);
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if (max < tmp) max = tmp;
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}
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mNumOccurences = new int[max];
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}
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for(int i=0; i<mNumAxis; i++)
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for(int j=0; j<mNumLayers; j++) mScrambleTable[i][j] = 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// PUBLIC API
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private void randomizeNewScramble0(int[][] scramble, Random rnd, int curr, int total)
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{
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if( curr==0 )
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{
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mCurrState = 0;
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mIndexExcluded =-1;
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initializeScrambling();
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}
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int[] info= mStates[mCurrState].getRandom(rnd, mIndexExcluded, mScrambleTable, mNumOccurences);
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scramble[curr][0] = info[0];
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scramble[curr][1] = info[1];
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scramble[curr][2] = info[2];
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mCurrState = info[3];
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mIndexExcluded = info[0];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean cornerIsUp(int index)
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{
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return ((index<4) ^ (mCornerQuat[index]>=12));
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean cornerIsLeft(int index)
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{
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int q = mCornerQuat[index];
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switch(index)
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{
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case 0:
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case 4: return ((q>=3 && q<= 7) || (q>=18 && q<=22));
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case 1:
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case 5: return ((q>=6 && q<=10) || (q>=15 && q<=19));
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case 2:
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case 6: return ((q==0 || q==1 || (q>=9 && q<=11)) || (q>=12 && q<=16));
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case 3:
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case 7: return ((q>=0 && q<=4) || (q==12 || q==13 || (q>=21 && q<=23)));
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}
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return false;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean quatIsBad(int quatIndex, int corner)
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{
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if( mBadCornerQuats ==null )
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{
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// quat indices that make corner cubits bandage the puzzle.
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mBadCornerQuats = new int[][] { { 2, 8,17,23}, { 5,11,14,20} };
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}
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int index = (corner%2);
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return ( quatIndex== mBadCornerQuats[index][0] ||
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quatIndex== mBadCornerQuats[index][1] ||
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quatIndex== mBadCornerQuats[index][2] ||
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quatIndex== mBadCornerQuats[index][3] );
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean isPermittedDo(int angle)
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{
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if( mQuatMult==null ) initializeQuatMult();
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for(int corner=0; corner<8; corner++)
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{
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if( !cornerIsUp(corner) )
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{
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int currQuat = mCornerQuat[corner];
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int finalQuat= mQuatMult[angle][currQuat];
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if( quatIsBad(finalQuat,corner) ) return false;
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}
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}
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean isPermittedUp(int angle)
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{
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if( mQuatMult==null ) initializeQuatMult();
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for(int corner=0; corner<8; corner++)
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{
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if( cornerIsUp(corner) )
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{
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int currQuat = mCornerQuat[corner];
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int finalQuat= mQuatMult[angle][currQuat];
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if( quatIsBad(finalQuat,corner) ) return false;
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}
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}
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void computePermittedAngles()
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{
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mPermittedDo = 0;
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for(int angle=0; angle<BASIC_ANGLE; angle++)
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{
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if( isPermittedDo(angle ) ) mPermittedAngles[0][mPermittedDo++] = angle;
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}
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mPermittedUp = 0;
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for(int angle=0; angle<BASIC_ANGLE; angle++)
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{
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if( isPermittedUp(angle ) ) mPermittedAngles[1][mPermittedUp++] = angle;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int getNextAngle(Random rnd, int layer)
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{
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int num = layer==0 ? mPermittedDo:mPermittedUp;
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int index = rnd.nextInt(num);
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int angle = mPermittedAngles[layer][index];
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return angle<BASIC_ANGLE/2 ? -angle : BASIC_ANGLE-angle;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int getNextAngleNotZero(Random rnd, int layer)
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{
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int num = layer==0 ? mPermittedDo:mPermittedUp;
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int index = rnd.nextInt(num-1);
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int angle = mPermittedAngles[layer][index+1];
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return angle<BASIC_ANGLE/2 ? -angle : BASIC_ANGLE-angle;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int makeQuat(int axis,int index)
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{
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if( axis==1 ) return 13;
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if( index<0 ) index+=12;
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return index;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private boolean cornerBelongs(int index, int axis, int layer)
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{
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if( axis==0 )
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{
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boolean up = cornerIsUp(index);
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return ((up && layer==2) || (!up && layer==0));
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}
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else
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{
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boolean le = cornerIsLeft(index);
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return ((le && layer==0) || (!le && layer==1));
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void updateCornerQuats(int[] rotInfo)
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{
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if( mQuatMult==null ) initializeQuatMult();
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int axis = rotInfo[0];
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int layer= rotInfo[1];
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int index=-rotInfo[2];
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int quat = makeQuat(axis,index);
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for(int corner=0; corner<8; corner++)
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{
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if( cornerBelongs(corner,axis,layer) )
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{
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int curr = mCornerQuat[corner];
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mCornerQuat[corner] = mQuatMult[quat][curr];
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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322
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323
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private void randomizeNewScramble1(int[][] scramble, Random rnd, int curr, int total)
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{
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int layer, nextAngle;
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326
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if( curr==0 )
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{
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for(int corner=0; corner<8; corner++) mCornerQuat[corner] = 0;
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mLastRot = rnd.nextInt(4);
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computePermittedAngles();
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}
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333
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switch(mLastRot)
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{
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case LAST_SL: layer = rnd.nextInt(2);
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nextAngle = getNextAngle(rnd,layer);
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if( nextAngle==0 )
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{
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layer = 1-layer;
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nextAngle = getNextAngleNotZero(rnd,layer);
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}
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344
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scramble[curr][0] = 0;
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scramble[curr][1] = 2*layer;
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scramble[curr][2] = nextAngle;
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348
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mLastRot = layer==0 ? LAST_LO : LAST_UP;
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349
|
updateCornerQuats(scramble[curr]);
|
|
350
|
break;
|
|
351
|
case LAST_LO:
|
|
352
|
case LAST_UP: layer = mLastRot==LAST_LO ? 1:0;
|
|
353
|
nextAngle = getNextAngle(rnd,layer);
|
|
354
|
|
|
355
|
if( nextAngle!=0 )
|
|
356
|
{
|
|
357
|
scramble[curr][0] = 0;
|
|
358
|
scramble[curr][1] = 2*layer;
|
|
359
|
scramble[curr][2] = nextAngle;
|
|
360
|
updateCornerQuats(scramble[curr]);
|
|
361
|
mLastRot = LAST_UL;
|
|
362
|
}
|
|
363
|
else
|
|
364
|
{
|
|
365
|
scramble[curr][0] = 1;
|
|
366
|
scramble[curr][1] = rnd.nextInt(2);
|
|
367
|
scramble[curr][2] = 1;
|
|
368
|
mLastRot = LAST_SL;
|
|
369
|
updateCornerQuats(scramble[curr]);
|
|
370
|
computePermittedAngles();
|
|
371
|
}
|
|
372
|
|
|
373
|
break;
|
|
374
|
case LAST_UL: scramble[curr][0] = 1;
|
|
375
|
scramble[curr][1] = rnd.nextInt(2);
|
|
376
|
scramble[curr][2] = 1;
|
|
377
|
mLastRot = LAST_SL;
|
|
378
|
updateCornerQuats(scramble[curr]);
|
|
379
|
computePermittedAngles();
|
|
380
|
break;
|
|
381
|
}
|
|
382
|
}
|
|
383
|
|
|
384
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
385
|
// PUBLIC API
|
|
386
|
|
|
387
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int curr, int total)
|
|
388
|
{
|
|
389
|
if( mType==0 ) randomizeNewScramble0(scramble, rnd, curr, total);
|
|
390
|
if( mType==1 ) randomizeNewScramble1(scramble, rnd, curr, total);
|
|
391
|
}
|
|
392
|
}
|