Revision 358be403
Added by Leszek Koltunski over 2 years ago
src/main/java/org/distorted/solvers/SolverMain.java | ||
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import org.distorted.main.R; |
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import org.distorted.screens.ScreenList; |
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import org.distorted.screens.RubikScreenSolver; |
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import org.distorted.solvers.cube3.RubikSolverSearch; |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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|
... | ... | |
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{ |
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String result; |
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if( !org.distorted.solvers.cube3.Search.prepare(mRes) ) |
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result= "Error 9"; |
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else |
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{ |
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String objectPosition = prepareCube3position(); |
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result = org.distorted.solvers.cube3.Search.solution(objectPosition, 24, 20); |
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} |
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RubikSolverSearch.prepare(mRes); |
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String objectPosition = prepareCube3position(); |
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result = RubikSolverSearch.solution(objectPosition, 24, 20); |
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if (result.contains("Error")) |
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{ |
... | ... | |
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return objectString.toString(); |
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} |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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private void interruptCube3() |
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{ |
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org.distorted.solvers.cube3.Search.interrupt(); |
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} |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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public void start() |
src/main/java/org/distorted/solvers/cube3/Color.java | ||
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package org.distorted.solvers.cube3; |
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//++++++++++++++++++++++++++++++ Names the colors of the cube facelets ++++++++++++++++++++++++++++++++++++++++++++++++ |
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class Color |
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{ |
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public static final int U=0; |
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public static final int R=1; |
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public static final int F=2; |
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public static final int D=3; |
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public static final int L=4; |
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public static final int B=5; |
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public static String toString(int i) |
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{ |
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switch(i) |
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{ |
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case U: return "U"; |
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case R: return "R"; |
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case F: return "F"; |
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case D: return "D"; |
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case L: return "L"; |
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case B: return "B"; |
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default: return "?"; |
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} |
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} |
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public static int toInt(String s) |
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{ |
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switch(s.charAt(0)) |
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{ |
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case 'U': return U; |
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case 'R': return R; |
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case 'F': return F; |
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case 'D': return D; |
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case 'L': return L; |
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case 'B': return B; |
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default: return -1; |
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} |
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} |
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} |
src/main/java/org/distorted/solvers/cube3/CoordCube.java | ||
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package org.distorted.solvers.cube3; |
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import android.content.res.Resources; |
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import java.io.InputStream; |
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//+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Representation of the cube on the coordinate level |
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class CoordCube { |
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static final short N_TWIST = 2187;// 3^7 possible corner orientations |
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static final short N_FLIP = 2048;// 2^11 possible edge flips |
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static final short N_SLICE1 = 495;// 12 choose 4 possible positions of FR,FL,BL,BR edges |
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static final short N_SLICE2 = 24;// 4! permutations of FR,FL,BL,BR edges in phase2 |
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static final short N_PARITY = 2; // 2 possible corner parities |
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static final short N_URFtoDLF = 20160;// 8!/(8-6)! permutation of URF,UFL,ULB,UBR,DFR,DLF corners |
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static final short N_FRtoBR = 11880; // 12!/(12-4)! permutation of FR,FL,BL,BR edges |
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static final short N_URtoUL = 1320; // 12!/(12-3)! permutation of UR,UF,UL edges |
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static final short N_UBtoDF = 1320; // 12!/(12-3)! permutation of UB,DR,DF edges |
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static final short N_URtoDF = 20160; // 8!/(8-6)! permutation of UR,UF,UL,UB,DR,DF edges in phase2 |
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static final int N_URFtoDLB = 40320;// 8! permutations of the corners |
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static final int N_URtoBR = 479001600;// 8! permutations of the corners |
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static final short N_MOVE = 18; |
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// All coordinates are 0 for a solved cube except for UBtoDF, which is 114 |
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short twist; |
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short flip; |
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short parity; |
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short FRtoBR; |
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short URFtoDLF; |
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short URtoUL; |
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short UBtoDF; |
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int URtoDF; |
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private static boolean[] init = new boolean[12]; |
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static |
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{ |
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for(int i=0; i<12; i++ ) init[i] = false; |
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} |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Generate a CoordCube from a CubieCube |
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CoordCube(CubieCube c) { |
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twist = c.getTwist(); |
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flip = c.getFlip(); |
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parity = c.cornerParity(); |
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FRtoBR = c.getFRtoBR(); |
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URFtoDLF = c.getURFtoDLF(); |
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URtoUL = c.getURtoUL(); |
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UBtoDF = c.getUBtoDF(); |
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URtoDF = c.getURtoDF();// only needed in phase2 |
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} |
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// A move on the coordinate level |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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void move(int m) { |
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twist = getTwistMove(twist,m); |
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flip = getFlipMove(flip,m); |
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parity = parityMove[parity][m]; |
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FRtoBR = getFRtoBR_Move(FRtoBR,m); |
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URFtoDLF = getURFtoDLF_Move(URFtoDLF,m); |
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URtoUL = getURtoUL_Move(URtoUL,m); |
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UBtoDF = getUBtoDF_Move(UBtoDF,m); |
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if (URtoUL < 336 && UBtoDF < 336)// updated only if UR,UF,UL,UB,DR,DF |
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// are not in UD-slice |
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URtoDF = getMergeURtoULandUBtoDF(URtoUL,UBtoDF); |
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} |
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// ******************************************Phase 1 move tables***************************************************** |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Move table for the twists of the corners |
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// twist < 2187 in phase 2. |
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// twist = 0 in phase 2. |
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private static byte[] twistMove = new byte[2*N_TWIST*N_MOVE]; |
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public static boolean initialize1(Resources res) |
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{ |
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if( !init[0] ) |
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{ |
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try |
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{ |
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InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table1); |
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is.read( twistMove, 0, 2*N_TWIST*N_MOVE); |
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} |
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catch(Exception ioe) |
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{ |
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System.out.println("error reading table1"); |
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return false; |
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} |
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init[0]=true; |
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} |
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return true; |
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} |
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public static short getTwistMove(int a,int b) |
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{ |
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short upperS = twistMove[2*(a*N_MOVE+b)]; |
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short lowerS = twistMove[2*(a*N_MOVE+b)+1]; |
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if( upperS<0 ) upperS+=256; |
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if( lowerS<0 ) lowerS+=256; |
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return (short)( (upperS<<8) + lowerS ); |
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} |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Move table for the flips of the edges |
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// flip < 2048 in phase 1 |
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// flip = 0 in phase 2. |
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private static byte[] flipMove = new byte[2*N_FLIP*N_MOVE]; |
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public static boolean initialize2(Resources res) |
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{ |
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if( !init[1] ) |
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{ |
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try |
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{ |
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InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table2); |
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is.read( flipMove, 0, 2*N_FLIP*N_MOVE); |
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} |
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catch(Exception ioe) |
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{ |
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System.out.println("error reading table2"); |
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return false; |
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} |
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init[1]=true; |
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} |
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return true; |
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} |
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public static short getFlipMove(int a,int b) |
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{ |
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short upperS = flipMove[2*(a*N_MOVE+b)]; |
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short lowerS = flipMove[2*(a*N_MOVE+b)+1]; |
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if( upperS<0 ) upperS+=256; |
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if( lowerS<0 ) lowerS+=256; |
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return (short)( (upperS<<8) + lowerS ); |
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} |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Parity of the corner permutation. This is the same as the parity for the edge permutation of a valid cube. |
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// parity has values 0 and 1 |
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static short[][] parityMove = { { 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 }, |
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{ 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 } }; |
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// ***********************************Phase 1 and 2 movetable******************************************************** |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Move table for the four UD-slice edges FR, FL, Bl and BR |
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// FRtoBRMove < 11880 in phase 1 |
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// FRtoBRMove < 24 in phase 2 |
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// FRtoBRMove = 0 for solved cube |
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private static byte[] FRtoBR_Move = new byte[2*N_FRtoBR*N_MOVE]; |
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public static boolean initialize3(Resources res) |
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{ |
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if( !init[2] ) |
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{ |
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try |
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{ |
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InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table3); |
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is.read( FRtoBR_Move, 0, 2*N_FRtoBR*N_MOVE); |
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} |
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catch(Exception ioe) |
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{ |
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System.out.println("error reading table3"); |
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return true; |
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} |
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init[2]=true; |
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} |
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return false; |
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} |
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public static short getFRtoBR_Move(int a,int b) |
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{ |
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short upperS = FRtoBR_Move[2*(a*N_MOVE+b)]; |
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short lowerS = FRtoBR_Move[2*(a*N_MOVE+b)+1]; |
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if( upperS<0 ) upperS+=256; |
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if( lowerS<0 ) lowerS+=256; |
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192 |
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return (short)( (upperS<<8) + lowerS ); |
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} |
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// *******************************************Phase 1 and 2 movetable************************************************ |
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// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Move table for permutation of six corners. The positions of the DBL and DRB corners are determined by the parity. |
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// URFtoDLF < 20160 in phase 1 |
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// URFtoDLF < 20160 in phase 2 |
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// URFtoDLF = 0 for solved cube. |
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private static byte[] URFtoDLF_Move = new byte[2*N_URFtoDLF*N_MOVE]; |
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204 |
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public static boolean initialize4(Resources res) |
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{ |
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207 |
if( !init[3] ) |
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208 |
{ |
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209 |
try |
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{ |
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InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table4); |
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is.read( URFtoDLF_Move, 0, 2*N_URFtoDLF*N_MOVE); |
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} |
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catch(Exception ioe) |
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{ |
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System.out.println("error reading table4"); |
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return false; |
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218 |
} |
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219 |
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init[3]=true; |
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} |
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222 |
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return true; |
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} |
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225 |
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226 |
public static short getURFtoDLF_Move(int a,int b) |
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227 |
{ |
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short upperS = URFtoDLF_Move[2*(a*N_MOVE+b)]; |
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short lowerS = URFtoDLF_Move[2*(a*N_MOVE+b)+1]; |
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230 |
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231 |
if( upperS<0 ) upperS+=256; |
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232 |
if( lowerS<0 ) lowerS+=256; |
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233 |
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234 |
return (short)( (upperS<<8) + lowerS ); |
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} |
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236 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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237 |
// Move table for the permutation of six U-face and D-face edges in phase2. The positions of the DL and DB edges are |
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238 |
// determined by the parity. |
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239 |
// URtoDF < 665280 in phase 1 |
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240 |
// URtoDF < 20160 in phase 2 |
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241 |
// URtoDF = 0 for solved cube. |
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242 |
private static byte[] URtoDF_Move = new byte[2*N_URtoDF*N_MOVE]; |
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243 |
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244 |
public static boolean initialize5(Resources res) |
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{ |
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246 |
if( !init[4] ) |
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247 |
{ |
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248 |
try |
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249 |
{ |
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250 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table5); |
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is.read( URtoDF_Move, 0, 2*N_URtoDF*N_MOVE); |
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} |
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253 |
catch(Exception ioe) |
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254 |
{ |
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255 |
System.out.println("error reading table5"); |
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256 |
return false; |
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257 |
} |
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258 |
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259 |
init[4]=true; |
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260 |
} |
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261 |
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262 |
return true; |
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263 |
} |
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264 |
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265 |
public static short getURtoDF_Move(int a,int b) |
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266 |
{ |
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267 |
short upperS = URtoDF_Move[2*(a*N_MOVE+b)]; |
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short lowerS = URtoDF_Move[2*(a*N_MOVE+b)+1]; |
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269 |
|
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270 |
if( upperS<0 ) upperS+=256; |
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271 |
if( lowerS<0 ) lowerS+=256; |
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272 |
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return (short)( (upperS<<8) + lowerS ); |
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274 |
} |
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275 |
// **************************helper move tables to compute URtoDF for the beginning of phase2************************ |
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276 |
|
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277 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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// Move table for the three edges UR,UF and UL in phase1. |
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279 |
private static byte[] URtoUL_Move = new byte[2*N_URtoUL*N_MOVE]; |
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280 |
|
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281 |
public static boolean initialize6(Resources res) |
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282 |
{ |
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283 |
if( !init[5] ) |
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284 |
{ |
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285 |
try |
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286 |
{ |
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287 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table6); |
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is.read( URtoUL_Move, 0, 2*N_URtoUL*N_MOVE); |
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289 |
} |
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290 |
catch(Exception ioe) |
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291 |
{ |
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292 |
System.out.println("error reading table6"); |
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293 |
return false; |
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294 |
} |
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295 |
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296 |
init[5]=true; |
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297 |
} |
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298 |
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299 |
return true; |
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300 |
} |
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301 |
|
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302 |
public static short getURtoUL_Move(int a,int b) |
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303 |
{ |
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304 |
short upperS = URtoUL_Move[2*(a*N_MOVE+b)]; |
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305 |
short lowerS = URtoUL_Move[2*(a*N_MOVE+b)+1]; |
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306 |
|
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307 |
if( upperS<0 ) upperS+=256; |
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308 |
if( lowerS<0 ) lowerS+=256; |
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309 |
|
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310 |
return (short)( (upperS<<8) + lowerS ); |
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311 |
} |
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312 |
|
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313 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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314 |
// Move table for the three edges UB,DR and DF in phase1. |
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315 |
private static byte[] UBtoDF_Move = new byte[2*N_UBtoDF*N_MOVE]; |
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316 |
|
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317 |
public static boolean initialize7(Resources res) |
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318 |
{ |
|
319 |
if( !init[6] ) |
|
320 |
{ |
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321 |
try |
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322 |
{ |
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323 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table7); |
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324 |
is.read( UBtoDF_Move, 0, 2*N_UBtoDF*N_MOVE); |
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325 |
} |
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326 |
catch(Exception ioe) |
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327 |
{ |
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328 |
System.out.println("error reading table7"); |
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329 |
return false; |
|
330 |
} |
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331 |
|
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332 |
init[6]=true; |
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333 |
} |
|
334 |
|
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335 |
return true; |
|
336 |
} |
|
337 |
|
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338 |
public static short getUBtoDF_Move(int a,int b) |
|
339 |
{ |
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340 |
short upperS = UBtoDF_Move[2*(a*N_MOVE+b)]; |
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341 |
short lowerS = UBtoDF_Move[2*(a*N_MOVE+b)+1]; |
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342 |
|
|
343 |
if( upperS<0 ) upperS+=256; |
|
344 |
if( lowerS<0 ) lowerS+=256; |
|
345 |
|
|
346 |
return (short)( (upperS<<8) + lowerS ); |
|
347 |
} |
|
348 |
|
|
349 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
350 |
// Table to merge the coordinates of the UR,UF,UL and UB,DR,DF edges at the beginning of phase2 |
|
351 |
private static byte[] MergeURtoULandUBtoDF = new byte[2*336*336]; |
|
352 |
|
|
353 |
public static boolean initialize8(Resources res) |
|
354 |
{ |
|
355 |
if( !init[7] ) |
|
356 |
{ |
|
357 |
try |
|
358 |
{ |
|
359 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table8); |
|
360 |
is.read( MergeURtoULandUBtoDF, 0, 2*336*336); |
|
361 |
} |
|
362 |
catch(Exception ioe) |
|
363 |
{ |
|
364 |
System.out.println("error reading table8"); |
|
365 |
return false; |
|
366 |
} |
|
367 |
|
|
368 |
init[7]=true; |
|
369 |
} |
|
370 |
|
|
371 |
return true; |
|
372 |
} |
|
373 |
|
|
374 |
public static short getMergeURtoULandUBtoDF(int a,int b) |
|
375 |
{ |
|
376 |
short upperS = MergeURtoULandUBtoDF[2*(a*336+b)]; |
|
377 |
short lowerS = MergeURtoULandUBtoDF[2*(a*336+b)+1]; |
|
378 |
|
|
379 |
if( upperS<0 ) upperS+=256; |
|
380 |
if( lowerS<0 ) lowerS+=256; |
|
381 |
|
|
382 |
return (short)( (upperS<<8) + lowerS ); |
|
383 |
} |
|
384 |
// ****************************************Pruning tables for the search********************************************* |
|
385 |
|
|
386 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
387 |
// Pruning table for the permutation of the corners and the UD-slice edges in phase2. |
|
388 |
// The pruning table entries give a lower estimation for the number of moves to reach the solved cube. |
|
389 |
public static byte[] Slice_URFtoDLF_Parity_Prun = new byte[N_SLICE2 * N_URFtoDLF * N_PARITY / 2]; |
|
390 |
|
|
391 |
public static boolean initialize9(Resources res) |
|
392 |
{ |
|
393 |
if( !init[8] ) |
|
394 |
{ |
|
395 |
try |
|
396 |
{ |
|
397 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table9); |
|
398 |
is.read( Slice_URFtoDLF_Parity_Prun, 0, N_SLICE2 * N_URFtoDLF * N_PARITY / 2); |
|
399 |
} |
|
400 |
catch(Exception ioe) |
|
401 |
{ |
|
402 |
System.out.println("error reading table9"); |
|
403 |
return false; |
|
404 |
} |
|
405 |
|
|
406 |
init[8]=true; |
|
407 |
} |
|
408 |
|
|
409 |
return true; |
|
410 |
} |
|
411 |
|
|
412 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
413 |
// Pruning table for the permutation of the edges in phase2. |
|
414 |
// The pruning table entries give a lower estimation for the number of moves to reach the solved cube. |
|
415 |
public static byte[] Slice_URtoDF_Parity_Prun = new byte[N_SLICE2 * N_URtoDF * N_PARITY / 2]; |
|
416 |
|
|
417 |
public static boolean initialize10(Resources res) |
|
418 |
{ |
|
419 |
if( !init[9] ) |
|
420 |
{ |
|
421 |
try |
|
422 |
{ |
|
423 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table10); |
|
424 |
is.read( Slice_URtoDF_Parity_Prun, 0, N_SLICE2 * N_URtoDF * N_PARITY / 2); |
|
425 |
} |
|
426 |
catch(Exception ioe) |
|
427 |
{ |
|
428 |
System.out.println("error reading table10"); |
|
429 |
return false; |
|
430 |
} |
|
431 |
|
|
432 |
init[9]=true; |
|
433 |
} |
|
434 |
|
|
435 |
return true; |
|
436 |
} |
|
437 |
|
|
438 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
439 |
// Pruning table for the twist of the corners and the position (not permutation) of the UD-slice edges in phase1 |
|
440 |
// The pruning table entries give a lower estimation for the number of moves to reach the H-subgroup. |
|
441 |
public static byte[] Slice_Twist_Prun = new byte[N_SLICE1 * N_TWIST / 2 + 1]; |
|
442 |
|
|
443 |
public static boolean initialize11(Resources res) |
|
444 |
{ |
|
445 |
if( !init[10] ) |
|
446 |
{ |
|
447 |
try |
|
448 |
{ |
|
449 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table11); |
|
450 |
is.read( Slice_Twist_Prun, 0, N_SLICE1 * N_TWIST / 2 + 1); |
|
451 |
} |
|
452 |
catch(Exception ioe) |
|
453 |
{ |
|
454 |
System.out.println("error reading table11"); |
|
455 |
return false; |
|
456 |
} |
|
457 |
|
|
458 |
init[10]=true; |
|
459 |
} |
|
460 |
|
|
461 |
return true; |
|
462 |
} |
|
463 |
|
|
464 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
465 |
// Pruning table for the flip of the edges and the position (not permutation) of the UD-slice edges in phase1 |
|
466 |
// The pruning table entries give a lower estimation for the number of moves to reach the H-subgroup. |
|
467 |
public static byte[] Slice_Flip_Prun = new byte[N_SLICE1 * N_FLIP / 2]; |
|
468 |
|
|
469 |
public static boolean initialize12(Resources res) |
|
470 |
{ |
|
471 |
if( !init[11] ) |
|
472 |
{ |
|
473 |
try |
|
474 |
{ |
|
475 |
InputStream is = res.openRawResource(org.distorted.main.R.raw.cube3solver_table12); |
|
476 |
is.read( Slice_Flip_Prun, 0, N_SLICE1 * N_FLIP / 2); |
|
477 |
} |
|
478 |
catch(Exception ioe) |
|
479 |
{ |
|
480 |
System.out.println("error reading table12"); |
|
481 |
return false; |
|
482 |
} |
|
483 |
|
|
484 |
init[11]=true; |
|
485 |
} |
|
486 |
|
|
487 |
return true; |
|
488 |
} |
|
489 |
|
|
490 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
491 |
// Set pruning value in table. Two values are stored in one byte. |
|
492 |
static void setPruning(byte[] table, int index, byte value) { |
|
493 |
if ((index & 1) == 0) |
|
494 |
table[index / 2] &= 0xf0 | value; |
|
495 |
else |
|
496 |
table[index / 2] &= 0x0f | (value << 4); |
|
497 |
} |
|
498 |
|
|
499 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
500 |
// Extract pruning value |
|
501 |
static byte getPruning(byte[] table, int index) { |
|
502 |
if ((index & 1) == 0) |
|
503 |
return (byte) (table[index / 2] & 0x0f); |
|
504 |
else |
|
505 |
return (byte) ((table[index / 2] & 0xf0) >>> 4); |
|
506 |
} |
|
507 |
} |
src/main/java/org/distorted/solvers/cube3/Corner.java | ||
---|---|---|
1 |
package org.distorted.solvers.cube3; |
|
2 |
|
|
3 |
//+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
4 |
//The names of the corner positions of the cube. Corner URF e.g., has an U(p), a R(ight) and a F(ront) facelet |
|
5 |
|
|
6 |
class Corner |
|
7 |
{ |
|
8 |
public static final int URF =0; |
|
9 |
public static final int UFL =1; |
|
10 |
public static final int ULB =2; |
|
11 |
public static final int UBR =3; |
|
12 |
public static final int DFR =4; |
|
13 |
public static final int DLF =5; |
|
14 |
public static final int DBL =6; |
|
15 |
public static final int DRB =7; |
|
16 |
} |
src/main/java/org/distorted/solvers/cube3/CubieCube.java | ||
---|---|---|
1 |
package org.distorted.solvers.cube3; |
|
2 |
|
|
3 |
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
4 |
//Cube on the cubie level |
|
5 |
class CubieCube |
|
6 |
{ |
|
7 |
private static int[][] cnk = new int[12][7]; |
|
8 |
|
|
9 |
private static byte[] tmpByte12 = new byte[12]; |
|
10 |
private static byte[] tmpByte8 = new byte[8]; |
|
11 |
|
|
12 |
private static int[] tmpEdge12 = new int[12]; |
|
13 |
private static int[] tmpEdge6 = new int[6]; |
|
14 |
private static int[] tmpEdge4 = new int[4]; |
|
15 |
private static int[] tmpEdge3 = new int[3]; |
|
16 |
|
|
17 |
private static int[] tmpCorner6 = new int[6]; |
|
18 |
private static int[] tmpCorner8 = new int[8]; |
|
19 |
|
|
20 |
// initialize to Id-Cube |
|
21 |
|
|
22 |
// corner permutation |
|
23 |
int[] cp = { Corner.URF, Corner.UFL, Corner.ULB, Corner.UBR, Corner.DFR, Corner.DLF, Corner.DBL, Corner.DRB }; |
|
24 |
|
|
25 |
// corner orientation |
|
26 |
byte[] co = { 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
27 |
|
|
28 |
// edge permutation |
|
29 |
int[] ep = { Edge.UR, Edge.UF, Edge.UL, Edge.UB, Edge.DR, Edge.DF, Edge.DL, Edge.DB, Edge.FR, Edge.FL, Edge.BL, Edge.BR }; |
|
30 |
|
|
31 |
// edge orientation |
|
32 |
byte[] eo = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
33 |
|
|
34 |
// ************************************** Moves on the cubie level *************************************************** |
|
35 |
|
|
36 |
private static int[] cpU = { Corner.UBR, Corner.URF, Corner.UFL, Corner.ULB, Corner.DFR, Corner.DLF, Corner.DBL, Corner.DRB }; |
|
37 |
private static byte[] coU = { 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
38 |
private static int[] epU = { Edge.UB, Edge.UR, Edge.UF, Edge.UL, Edge.DR, Edge.DF, Edge.DL, Edge.DB, Edge.FR, Edge.FL, Edge.BL, Edge.BR }; |
|
39 |
private static byte[] eoU = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
40 |
|
|
41 |
private static int[] cpR = { Corner.DFR, Corner.UFL, Corner.ULB, Corner.URF, Corner.DRB, Corner.DLF, Corner.DBL, Corner.UBR }; |
|
42 |
private static byte[] coR = { 2, 0, 0, 1, 1, 0, 0, 2 }; |
|
43 |
private static int[] epR = { Edge.FR, Edge.UF, Edge.UL, Edge.UB, Edge.BR, Edge.DF, Edge.DL, Edge.DB, Edge.DR, Edge.FL, Edge.BL, Edge.UR }; |
|
44 |
private static byte[] eoR = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
45 |
|
|
46 |
private static int[] cpF = { Corner.UFL, Corner.DLF, Corner.ULB, Corner.UBR, Corner.URF, Corner.DFR, Corner.DBL, Corner.DRB }; |
|
47 |
private static byte[] coF = { 1, 2, 0, 0, 2, 1, 0, 0 }; |
|
48 |
private static int[] epF = { Edge.UR, Edge.FL, Edge.UL, Edge.UB, Edge.DR, Edge.FR, Edge.DL, Edge.DB, Edge.UF, Edge.DF, Edge.BL, Edge.BR }; |
|
49 |
private static byte[] eoF = { 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0 }; |
|
50 |
|
|
51 |
private static int[] cpD = { Corner.URF, Corner.UFL, Corner.ULB, Corner.UBR, Corner.DLF, Corner.DBL, Corner.DRB, Corner.DFR }; |
|
52 |
private static byte[] coD = { 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
53 |
private static int[] epD = { Edge.UR, Edge.UF, Edge.UL, Edge.UB, Edge.DF, Edge.DL, Edge.DB, Edge.DR, Edge.FR, Edge.FL, Edge.BL, Edge.BR }; |
|
54 |
private static byte[] eoD = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
55 |
|
|
56 |
private static int[] cpL = { Corner.URF, Corner.ULB, Corner.DBL, Corner.UBR, Corner.DFR, Corner.UFL, Corner.DLF, Corner.DRB }; |
|
57 |
private static byte[] coL = { 0, 1, 2, 0, 0, 2, 1, 0 }; |
|
58 |
private static int[] epL = { Edge.UR, Edge.UF, Edge.BL, Edge.UB, Edge.DR, Edge.DF, Edge.FL, Edge.DB, Edge.FR, Edge.UL, Edge.DL, Edge.BR }; |
|
59 |
private static byte[] eoL = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; |
|
60 |
|
|
61 |
private static int[] cpB = { Corner.URF, Corner.UFL, Corner.UBR, Corner.DRB, Corner.DFR, Corner.DLF, Corner.ULB, Corner.DBL }; |
|
62 |
private static byte[] coB = { 0, 0, 1, 2, 0, 0, 2, 1 }; |
|
63 |
private static int[] epB = { Edge.UR, Edge.UF, Edge.UL, Edge.BR, Edge.DR, Edge.DF, Edge.DL, Edge.BL, Edge.FR, Edge.FL, Edge.UB, Edge.DB }; |
|
64 |
private static byte[] eoB = { 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1 }; |
|
65 |
|
|
66 |
// this CubieCube array represents the 6 basic cube moves |
|
67 |
static CubieCube[] moveCube = new CubieCube[6]; |
|
68 |
|
|
69 |
static |
|
70 |
{ |
|
71 |
moveCube[0] = new CubieCube(); |
|
72 |
moveCube[0].cp = cpU; |
|
73 |
moveCube[0].co = coU; |
|
74 |
moveCube[0].ep = epU; |
|
75 |
moveCube[0].eo = eoU; |
|
76 |
|
|
77 |
moveCube[1] = new CubieCube(); |
|
78 |
moveCube[1].cp = cpR; |
|
79 |
moveCube[1].co = coR; |
|
80 |
moveCube[1].ep = epR; |
|
81 |
moveCube[1].eo = eoR; |
|
82 |
|
|
83 |
moveCube[2] = new CubieCube(); |
|
84 |
moveCube[2].cp = cpF; |
|
85 |
moveCube[2].co = coF; |
|
86 |
moveCube[2].ep = epF; |
|
87 |
moveCube[2].eo = eoF; |
|
88 |
|
|
89 |
moveCube[3] = new CubieCube(); |
|
90 |
moveCube[3].cp = cpD; |
|
91 |
moveCube[3].co = coD; |
|
92 |
moveCube[3].ep = epD; |
|
93 |
moveCube[3].eo = eoD; |
|
94 |
|
|
95 |
moveCube[4] = new CubieCube(); |
|
96 |
moveCube[4].cp = cpL; |
|
97 |
moveCube[4].co = coL; |
|
98 |
moveCube[4].ep = epL; |
|
99 |
moveCube[4].eo = eoL; |
|
100 |
|
|
101 |
moveCube[5] = new CubieCube(); |
|
102 |
moveCube[5].cp = cpB; |
|
103 |
moveCube[5].co = coB; |
|
104 |
moveCube[5].ep = epB; |
|
105 |
moveCube[5].eo = eoB; |
|
106 |
} |
|
107 |
|
|
108 |
static |
|
109 |
{ |
|
110 |
for(int n=0; n<12; n++) |
|
111 |
for(int k=0; k<7; k++) |
|
112 |
cnk[n][k] = -1; |
|
113 |
} |
|
114 |
|
|
115 |
CubieCube() { }; |
|
116 |
|
|
117 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
118 |
CubieCube(int[] cp, byte[] co, int[] ep, byte[] eo) |
|
119 |
{ |
|
120 |
this(); |
|
121 |
|
|
122 |
for (int i = 0; i < 8; i++) |
|
123 |
{ |
|
124 |
this.cp[i] = cp[i]; |
|
125 |
this.co[i] = co[i]; |
|
126 |
} |
|
127 |
for (int i = 0; i < 12; i++) |
|
128 |
{ |
|
129 |
this.ep[i] = ep[i]; |
|
130 |
this.eo[i] = eo[i]; |
|
131 |
} |
|
132 |
} |
|
133 |
|
|
134 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
135 |
// n choose k |
|
136 |
static int Cnk(int n, int k) |
|
137 |
{ |
|
138 |
if( cnk[n][k]<0 ) |
|
139 |
{ |
|
140 |
int i, j, s; |
|
141 |
|
|
142 |
if (n < k) { cnk[n][k]=0; return 0; } |
|
143 |
if (k > n / 2) k = n - k; |
|
144 |
|
|
145 |
for (s = 1, i = n, j = 1; i != n - k; i--, j++) |
|
146 |
{ |
|
147 |
s *= i; |
|
148 |
s /= j; |
|
149 |
} |
|
150 |
cnk[n][k]= s; |
|
151 |
} |
|
152 |
|
|
153 |
return cnk[n][k]; |
|
154 |
} |
|
155 |
|
|
156 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
157 |
static void rotateLeft(int[] arr, int l, int r) |
|
158 |
// Left rotation of all array elements between l and r |
|
159 |
{ |
|
160 |
int tmp = arr[l]; |
|
161 |
for (int i = l; i < r; i++) arr[i] = arr[i + 1]; |
|
162 |
arr[r] = tmp; |
|
163 |
} |
|
164 |
|
|
165 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
166 |
static void rotateRight(int[] arr, int l, int r) |
|
167 |
// Right rotation of all array elements between l and r |
|
168 |
{ |
|
169 |
int tmp = arr[r]; |
|
170 |
for (int i = r; i > l; i--) arr[i] = arr[i - 1]; |
|
171 |
arr[l] = tmp; |
|
172 |
} |
|
173 |
|
|
174 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
175 |
// return cube in facelet representation |
|
176 |
FaceCube toFaceCube() |
|
177 |
{ |
|
178 |
FaceCube fcRet = new FaceCube(); |
|
179 |
|
|
180 |
for ( int c=Corner.URF; c<=Corner.DRB; c++) |
|
181 |
{ |
|
182 |
int j = cp[c]; // cornercubie with index j is at cornerposition with index i |
|
183 |
byte ori = co[c];// Orientation of this cubie |
|
184 |
|
|
185 |
for (int n = 0; n < 3; n++) |
|
186 |
fcRet.f[FaceCube.cornerFacelet[c][(n + ori) % 3]] = FaceCube.cornerColor[j][n]; |
|
187 |
} |
|
188 |
|
|
189 |
for ( int e=Edge.UR; e<=Edge.BR; e++) |
|
190 |
{ |
|
191 |
int j = ep[e]; // edgecubie with index j is at edgeposition with index i |
|
192 |
byte ori = eo[e];// Orientation of this cubie |
|
193 |
|
|
194 |
for (int n = 0; n < 2; n++) |
|
195 |
fcRet.f[FaceCube.edgeFacelet[e][(n + ori) % 2]] = FaceCube.edgeColor[j][n]; |
|
196 |
} |
|
197 |
|
|
198 |
return fcRet; |
|
199 |
} |
|
200 |
|
|
201 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
202 |
// Multiply this CubieCube with another cubiecube b, restricted to the corners.<br> |
|
203 |
// Because we also describe reflections of the whole cube by permutations, we get a complication with the corners. The |
|
204 |
// orientations of mirrored corners are described by the numbers 3, 4 and 5. The composition of the orientations |
|
205 |
// cannot |
|
206 |
// be computed by addition modulo three in the cyclic group C3 any more. Instead the rules below give an addition in |
|
207 |
// the dihedral group D3 with 6 elements.<br> |
|
208 |
// |
|
209 |
// NOTE: Because we do not use symmetry reductions and hence no mirrored cubes in this simple implementation of the |
|
210 |
// Two-Phase-Algorithm, some code is not necessary here. |
|
211 |
// |
|
212 |
void cornerMultiply(CubieCube b) |
|
213 |
{ |
|
214 |
for ( int corn=Corner.URF; corn<=Corner.DRB; corn++) |
|
215 |
{ |
|
216 |
tmpCorner8[corn] = cp[b.cp[corn]]; |
|
217 |
byte oriA = co[b.cp[corn]]; |
|
218 |
byte oriB = b.co[corn]; |
|
219 |
byte ori = 0; |
|
220 |
|
|
221 |
if (oriA < 3 && oriB < 3) // if both cubes are regular cubes... |
|
222 |
{ |
|
223 |
ori = (byte) (oriA + oriB); // just do an addition modulo 3 here |
|
224 |
if (ori >= 3) ori -= 3; // the composition is a regular cube |
|
225 |
|
|
226 |
// +++++++++++++++++++++not used in this implementation +++++++++++++++++++++++++++++++++++ |
|
227 |
} |
|
228 |
else if (oriA < 3 && oriB >= 3) // if cube b is in a mirrored state... |
|
229 |
{ |
|
230 |
ori = (byte) (oriA + oriB); |
|
231 |
if (ori >= 6) ori -= 3; // the composition is a mirrored cube |
|
232 |
} |
|
233 |
else if (oriA >= 3 && oriB < 3) // if cube a is an a mirrored state... |
|
234 |
{ |
|
235 |
ori = (byte) (oriA - oriB); |
|
236 |
if (ori < 3) ori += 3; // the composition is a mirrored cube |
|
237 |
} |
|
238 |
else if (oriA >= 3 && oriB >= 3) // if both cubes are in mirrored states... |
|
239 |
{ |
|
240 |
ori = (byte) (oriA - oriB); |
|
241 |
if (ori < 0) ori += 3; // the composition is a regular cube |
|
242 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
243 |
} |
|
244 |
|
|
245 |
tmpByte8[corn] = ori; |
|
246 |
} |
|
247 |
|
|
248 |
for ( int c=Corner.URF; c<=Corner.DRB; c++) |
|
249 |
{ |
|
250 |
cp[c] = tmpCorner8[c]; |
|
251 |
co[c] = tmpByte8[c]; |
|
252 |
} |
|
253 |
} |
|
254 |
|
|
255 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
256 |
// Multiply this CubieCube with another cubiecube b, restricted to the edges. |
|
257 |
void edgeMultiply(CubieCube b) |
|
258 |
{ |
|
259 |
for ( int edge=Edge.UR; edge<=Edge.BR; edge++) |
|
260 |
{ |
|
261 |
tmpEdge12[edge] = ep[b.ep[edge]]; |
|
262 |
tmpByte12[edge] = (byte) ((b.eo[edge] + eo[b.ep[edge]]) % 2); |
|
263 |
} |
|
264 |
|
|
265 |
for ( int e=Edge.UR; e<=Edge.BR; e++) |
|
266 |
{ |
|
267 |
ep[e] = tmpEdge12[e]; |
|
268 |
eo[e] = tmpByte12[e]; |
|
269 |
} |
|
270 |
} |
|
271 |
|
|
272 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
273 |
// Multiply this CubieCube with another CubieCube b. |
|
274 |
void multiply(CubieCube b) |
|
275 |
{ |
|
276 |
cornerMultiply(b); |
|
277 |
//edgeMultiply(b); |
|
278 |
} |
|
279 |
|
|
280 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
281 |
// Compute the inverse CubieCube |
|
282 |
void invCubieCube(CubieCube c) |
|
283 |
{ |
|
284 |
for ( int edge=Edge.UR; edge<=Edge.BR; edge++) c.ep[ep[edge]] = edge; |
|
285 |
for ( int edge=Edge.UR; edge<=Edge.BR; edge++) c.eo[edge] = eo[c.ep[edge]]; |
|
286 |
|
|
287 |
for ( int corn=Corner.URF; corn<=Corner.DRB; corn++) c.cp[cp[corn]] = corn; |
|
288 |
for ( int corn=Corner.URF; corn<=Corner.DRB; corn++) |
|
289 |
{ |
|
290 |
byte ori = co[c.cp[corn]]; |
|
291 |
if (ori >= 3)// Just for completeness. We do not invert mirrored cubes in the program. |
|
292 |
c.co[corn] = ori; |
|
293 |
else |
|
294 |
{// the standard case |
|
295 |
c.co[corn] = (byte) -ori; |
|
296 |
if (c.co[corn] < 0) c.co[corn] += 3; |
|
297 |
} |
|
298 |
} |
|
299 |
} |
|
300 |
|
|
301 |
// ********************************************* Get and set coordinates ********************************************* |
|
302 |
|
|
303 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
304 |
// return the twist of the 8 corners. 0 <= twist < 3^7 |
|
305 |
short getTwist() |
|
306 |
{ |
|
307 |
short ret = 0; |
|
308 |
|
|
309 |
for ( int i=Corner.URF; i<Corner.DRB; i++) |
|
310 |
ret = (short) (3 * ret + co[i]); |
|
311 |
|
|
312 |
return ret; |
|
313 |
} |
|
314 |
|
|
315 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
316 |
void setTwist(short twist) |
|
317 |
{ |
|
318 |
int twistParity = 0; |
|
319 |
|
|
320 |
for ( int i=Corner.DRB-1; i>=Corner.URF; i--) |
|
321 |
{ |
|
322 |
twistParity += co[i] = (byte) (twist % 3); |
|
323 |
twist /= 3; |
|
324 |
} |
|
325 |
co[Corner.DRB] = (byte) ((3 - twistParity % 3) % 3); |
|
326 |
} |
|
327 |
|
|
328 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
329 |
// return the flip of the 12 edges. 0<= flip < 2^11 |
|
330 |
short getFlip() |
|
331 |
{ |
|
332 |
short ret = 0; |
|
333 |
|
|
334 |
for ( int i=Edge.UR; i<Edge.BR; i++) |
|
335 |
ret = (short) (2 * ret + eo[i]); |
|
336 |
|
|
337 |
return ret; |
|
338 |
} |
|
339 |
|
|
340 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
341 |
void setFlip(short flip) |
|
342 |
{ |
|
343 |
int flipParity = 0; |
|
344 |
|
|
345 |
for (int i=Edge.BR-1; i>=Edge.UR; i--) |
|
346 |
{ |
|
347 |
flipParity += eo[i] = (byte) (flip % 2); |
|
348 |
flip /= 2; |
|
349 |
} |
|
350 |
eo[Edge.BR] = (byte) ((2 - flipParity % 2) % 2); |
|
351 |
} |
|
352 |
|
|
353 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
354 |
// Parity of the corner permutation |
|
355 |
short cornerParity() |
|
356 |
{ |
|
357 |
int s = 0; |
|
358 |
|
|
359 |
for (int i=Corner.DRB; i>=Corner.URF+1; i--) |
|
360 |
for (int j = i - 1; j >= Corner.URF; j--) |
|
361 |
if (cp[j] > cp[i]) s++; |
|
362 |
|
|
363 |
return (short) (s % 2); |
|
364 |
} |
|
365 |
|
|
366 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
367 |
// Parity of the edges permutation. Parity of corners and edges are the same if the cube is solvable. |
|
368 |
short edgeParity() |
|
369 |
{ |
|
370 |
int s = 0; |
|
371 |
|
|
372 |
for (int i = Edge.BR; i >= Edge.UR+1; i--) |
|
373 |
for (int j = i - 1; j >= Edge.UR; j--) |
|
374 |
if (ep[j] > ep[i]) s++; |
|
375 |
|
|
376 |
return (short) (s % 2); |
|
377 |
} |
|
378 |
|
|
379 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
380 |
// permutation of the UD-slice edges FR,FL,BL and BR |
|
381 |
short getFRtoBR() |
|
382 |
{ |
|
383 |
int a = 0, x = 0; |
|
384 |
|
|
385 |
// compute the index a < (12 choose 4) and the permutation array perm. |
|
386 |
for (int j = Edge.BR; j >= Edge.UR; j--) |
|
387 |
if (Edge.FR <= ep[j] && ep[j] <= Edge.BR) |
|
388 |
{ |
|
389 |
a += Cnk(11 - j, x + 1); |
|
390 |
tmpEdge4[3 - x++] = ep[j]; |
|
391 |
} |
|
392 |
|
|
393 |
int b = 0; |
|
394 |
for (int j = 3; j > 0; j--)// compute the index b < 4! for the permutation in perm |
|
395 |
{ |
|
396 |
int k = 0; |
|
397 |
while (tmpEdge4[j] != j + 8) |
|
398 |
{ |
|
399 |
rotateLeft(tmpEdge4, 0, j); |
|
400 |
k++; |
|
401 |
} |
|
402 |
b = (j + 1) * b + k; |
|
403 |
} |
|
404 |
|
|
405 |
return (short) (24 * a + b); |
|
406 |
} |
|
407 |
|
|
408 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
409 |
void setFRtoBR(short idx) |
|
410 |
{ |
|
411 |
int x; |
|
412 |
int[] sliceEdge = { Edge.FR, Edge.FL, Edge.BL, Edge.BR }; |
|
413 |
int[] otherEdge = { Edge.UR, Edge.UF, Edge.UL, Edge.UB, Edge.DR, Edge.DF, Edge.DL, Edge.DB }; |
|
414 |
int b = idx % 24; // Permutation |
|
415 |
int a = idx / 24; // Combination |
|
416 |
|
|
417 |
for ( int e=Edge.UR; e<=Edge.BR; e++) ep[e] = Edge.DB;// Use UR to invalidate all edges |
|
418 |
|
|
419 |
for (int j = 1, k; j < 4; j++)// generate permutation from index b |
|
420 |
{ |
|
421 |
k = b % (j + 1); |
|
422 |
b /= j + 1; |
|
423 |
while (k-- > 0) rotateRight(sliceEdge, 0, j); |
|
424 |
} |
|
425 |
|
|
426 |
x = 3;// generate combination and set slice edges |
|
427 |
|
|
428 |
for (int j = Edge.UR; j <= Edge.BR; j++) |
|
429 |
if (a - Cnk(11 - j, x + 1) >= 0) |
|
430 |
{ |
|
431 |
ep[j] = sliceEdge[3 - x]; |
|
432 |
a -= Cnk(11 - j, x-- + 1); |
|
433 |
} |
|
434 |
|
|
435 |
x = 0; // set the remaining edges UR..DB |
|
436 |
|
|
437 |
for (int j = Edge.UR; j <= Edge.BR; j++) |
|
438 |
if (ep[j] == Edge.DB) |
|
439 |
ep[j] = otherEdge[x++]; |
|
440 |
|
|
441 |
} |
|
442 |
|
|
443 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
444 |
// Permutation of all corners except DBL and DRB |
|
445 |
short getURFtoDLF() |
|
446 |
{ |
|
447 |
int a = 0, x = 0; |
|
448 |
|
|
449 |
// compute the index a < (8 choose 6) and the corner permutation. |
|
450 |
for (int j = Corner.URF; j <= Corner.DRB; j++) |
|
451 |
if (cp[j] <= Corner.DLF) |
|
452 |
{ |
|
453 |
a += Cnk(j, x + 1); |
|
454 |
tmpCorner6[x++] = cp[j]; |
|
455 |
} |
|
456 |
|
|
457 |
int b = 0; |
|
458 |
|
|
459 |
for (int j = 5; j > 0; j--)// compute the index b < 6! for the permutation in corner6 |
|
460 |
{ |
|
461 |
int k = 0; |
|
462 |
|
|
463 |
while (tmpCorner6[j] != j) |
|
464 |
{ |
|
465 |
rotateLeft(tmpCorner6, 0, j); |
|
466 |
k++; |
|
467 |
} |
|
468 |
b = (j + 1) * b + k; |
|
469 |
} |
|
470 |
|
|
471 |
return (short) (720 * a + b); |
|
472 |
} |
|
473 |
|
|
474 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
475 |
void setURFtoDLF(short idx) |
|
476 |
{ |
|
477 |
int x; |
|
478 |
|
|
479 |
int[] corner6 = { Corner.URF, Corner.UFL, Corner.ULB, Corner.UBR, Corner.DFR, Corner.DLF }; |
|
480 |
int[] otherCorner = { Corner.DBL, Corner.DRB }; |
|
481 |
int b = idx % 720; // Permutation |
|
482 |
int a = idx / 720; // Combination |
|
483 |
|
|
484 |
for ( int c=Corner.URF; c<=Corner.DRB; c++) cp[c] = Corner.DRB;// Use DRB to invalidate all corners |
|
485 |
|
|
486 |
for (int j = 1, k; j < 6; j++)// generate permutation from index b |
|
487 |
{ |
|
488 |
k = b % (j + 1); |
|
489 |
b /= j + 1; |
|
490 |
while (k-- > 0) rotateRight(corner6, 0, j); |
|
491 |
} |
|
492 |
|
|
493 |
x = 5;// generate combination and set corners |
|
494 |
|
|
495 |
for (int j = Corner.DRB; j >= 0; j--) |
|
496 |
if (a - Cnk(j, x + 1) >= 0) |
|
497 |
{ |
|
498 |
cp[j] = corner6[x]; |
|
499 |
a -= Cnk(j, x-- + 1); |
|
500 |
} |
|
501 |
|
|
502 |
x = 0; |
|
503 |
|
|
504 |
for (int j = Corner.URF; j <= Corner.DRB; j++) |
|
505 |
if (cp[j] == Corner.DRB) |
|
506 |
cp[j] = otherCorner[x++]; |
|
507 |
} |
|
508 |
|
|
509 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
510 |
// Permutation of the six edges UR,UF,UL,UB,DR,DF. |
|
511 |
int getURtoDF() |
|
512 |
{ |
|
513 |
int a = 0, x = 0; |
|
514 |
// compute the index a < (12 choose 6) and the edge permutation. |
|
515 |
|
|
516 |
for (int j = Edge.UR; j <= Edge.BR; j++) |
|
517 |
if (ep[j] <= Edge.DF) |
|
518 |
{ |
|
519 |
a += Cnk(j, x + 1); |
|
520 |
tmpEdge6[x++] = ep[j]; |
|
521 |
} |
|
522 |
|
|
523 |
int b = 0; |
|
524 |
|
|
525 |
for (int j = 5; j > 0; j--)// compute the index b < 6! for the permutation in edge6 |
|
526 |
{ |
|
527 |
int k = 0; |
|
528 |
|
|
529 |
while (tmpEdge6[j] != j) |
|
530 |
{ |
|
531 |
rotateLeft(tmpEdge6, 0, j); |
|
532 |
k++; |
|
533 |
} |
|
534 |
b = (j + 1) * b + k; |
|
535 |
} |
|
536 |
return 720 * a + b; |
|
537 |
} |
|
538 |
|
|
539 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
540 |
void setURtoDF(int idx) |
|
541 |
{ |
|
542 |
int x; |
|
543 |
int[] edge6 = { Edge.UR, Edge.UF, Edge.UL, Edge.UB, Edge.DR, Edge.DF }; |
|
544 |
int[] otherEdge = { Edge.DL, Edge.DB, Edge.FR, Edge.FL, Edge.BL, Edge.BR }; |
|
545 |
int b = idx % 720; // Permutation |
|
546 |
int a = idx / 720; // Combination |
|
547 |
|
|
548 |
for ( int e=Edge.UR; e<=Edge.BR; e++) ep[e] = Edge.BR;// Use BR to invalidate all edges |
|
549 |
|
|
550 |
for (int j = 1, k; j < 6; j++)// generate permutation from index b |
|
551 |
{ |
|
552 |
k = b % (j + 1); |
|
553 |
b /= j + 1; |
|
554 |
while (k-- > 0) rotateRight(edge6, 0, j); |
|
555 |
} |
|
556 |
|
|
557 |
x = 5;// generate combination and set edges |
|
558 |
|
|
559 |
for (int j = Edge.BR; j >= 0; j--) |
|
560 |
if (a - Cnk(j, x + 1) >= 0) |
|
561 |
{ |
|
562 |
ep[j] = edge6[x]; |
|
563 |
a -= Cnk(j, x-- + 1); |
|
564 |
} |
|
565 |
|
|
566 |
x = 0; // set the remaining edges DL..BR |
|
567 |
|
|
568 |
for (int j = Edge.UR; j <= Edge.BR; j++) |
|
569 |
if (ep[j] == Edge.BR) |
|
570 |
ep[j] = otherEdge[x++]; |
|
571 |
} |
|
572 |
|
|
573 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
574 |
// Permutation of the six edges UR,UF,UL,UB,DR,DF |
|
575 |
public static int getURtoDF(short idx1, short idx2) |
|
576 |
{ |
|
577 |
CubieCube a = new CubieCube(); |
|
578 |
CubieCube b = new CubieCube(); |
|
579 |
a.setURtoUL(idx1); |
|
580 |
b.setUBtoDF(idx2); |
|
581 |
|
|
582 |
for (int i = 0; i < 8; i++) |
|
583 |
{ |
|
584 |
if (a.ep[i] != Edge.BR) |
|
585 |
if (b.ep[i] != Edge.BR)// collision |
|
586 |
return -1; |
|
587 |
else |
|
588 |
b.ep[i] = a.ep[i]; |
|
589 |
} |
|
590 |
|
|
591 |
return b.getURtoDF(); |
|
592 |
} |
|
593 |
|
|
594 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
595 |
// Permutation of the three edges UR,UF,UL |
|
596 |
short getURtoUL() |
|
597 |
{ |
|
598 |
int a = 0, x = 0; |
|
599 |
// compute the index a < (12 choose 3) and the edge permutation. |
|
600 |
for (int j = Edge.UR; j <= Edge.BR; j++) |
|
601 |
if (ep[j] <= Edge.UL) |
|
602 |
{ |
|
603 |
a += Cnk(j, x + 1); |
|
604 |
tmpEdge3[x++] = ep[j]; |
|
605 |
} |
|
606 |
|
|
607 |
int b = 0; |
|
608 |
|
|
609 |
for (int j = 2; j > 0; j--)// compute the index b < 3! for the permutation in edge3 |
|
610 |
{ |
|
611 |
int k = 0; |
|
612 |
while (tmpEdge3[j] != j) |
|
613 |
{ |
|
614 |
rotateLeft(tmpEdge3, 0, j); |
|
615 |
k++; |
|
616 |
} |
|
617 |
b = (j + 1) * b + k; |
|
618 |
} |
|
619 |
|
|
620 |
return (short) (6 * a + b); |
|
621 |
} |
|
622 |
|
|
623 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
624 |
void setURtoUL(short idx) |
|
625 |
{ |
|
626 |
int x; |
|
627 |
int[] edge3 = { Edge.UR, Edge.UF, Edge.UL }; |
|
628 |
int b = idx % 6; // Permutation |
|
629 |
int a = idx / 6; // Combination |
|
630 |
|
|
631 |
for (int e = Edge.UR; e <= Edge.BR; e++) ep[e] = Edge.BR;// Use BR to invalidate all edges |
|
632 |
|
|
633 |
for (int j = 1, k; j < 3; j++)// generate permutation from index b |
|
634 |
{ |
|
635 |
k = b % (j + 1); |
|
636 |
b /= j + 1; |
|
637 |
|
|
638 |
while (k-- > 0) rotateRight(edge3, 0, j); |
|
639 |
} |
|
640 |
|
|
641 |
x = 2;// generate combination and set edges |
|
642 |
|
|
643 |
for (int j = Edge.BR; j >= 0; j--) |
|
644 |
if (a - Cnk(j, x + 1) >= 0) |
|
645 |
{ |
|
646 |
ep[j] = edge3[x]; |
|
647 |
a -= Cnk(j, x-- + 1); |
|
648 |
} |
|
649 |
} |
|
650 |
|
|
651 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
652 |
// Permutation of the three edges UB,DR,DF |
|
653 |
short getUBtoDF() |
|
654 |
{ |
|
655 |
int a = 0, x = 0; |
|
656 |
// compute the index a < (12 choose 3) and the edge permutation. |
|
657 |
|
|
658 |
for (int j = Edge.UR; j <= Edge.BR; j++) |
|
659 |
if (Edge.UB <= ep[j] && ep[j] <= Edge.DF) |
|
660 |
{ |
|
661 |
a += Cnk(j, x + 1); |
|
662 |
tmpEdge3[x++] = ep[j]; |
|
663 |
} |
|
664 |
|
|
665 |
int b = 0; |
|
666 |
|
|
667 |
for (int j = 2; j > 0; j--)// compute the index b < 3! for the permutation in edge3 |
|
668 |
{ |
|
669 |
int k = 0; |
|
670 |
|
|
671 |
while (tmpEdge3[j] != Edge.UB + j) |
|
672 |
{ |
|
673 |
rotateLeft(tmpEdge3, 0, j); |
|
674 |
k++; |
|
675 |
} |
|
676 |
b = (j + 1) * b + k; |
|
677 |
} |
|
678 |
|
|
679 |
return (short) (6 * a + b); |
|
680 |
} |
|
681 |
|
|
682 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
683 |
void setUBtoDF(short idx) |
|
684 |
{ |
|
685 |
int x; |
|
686 |
int[] edge3 = { Edge.UB, Edge.DR, Edge.DF }; |
|
687 |
int b = idx % 6; // Permutation |
|
688 |
int a = idx / 6; // Combination |
|
689 |
|
|
690 |
for (int e = Edge.UR; e <= Edge.BR; e++) ep[e] = Edge.BR;// Use BR to invalidate all edges |
|
691 |
|
|
692 |
for (int j = 1, k; j < 3; j++)// generate permutation from index b |
|
693 |
{ |
|
694 |
k = b % (j + 1); |
|
695 |
b /= j + 1; |
|
696 |
|
|
697 |
while (k-- > 0) rotateRight(edge3, 0, j); |
|
698 |
} |
|
699 |
|
|
700 |
x = 2;// generate combination and set edges |
|
701 |
|
|
702 |
for (int j = Edge.BR; j >= 0; j--) |
|
703 |
if (a - Cnk(j, x + 1) >= 0) |
|
704 |
{ |
|
705 |
ep[j] = edge3[x]; |
|
706 |
a -= Cnk(j, x-- + 1); |
|
707 |
} |
|
708 |
} |
|
709 |
|
|
710 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
711 |
int getURFtoDLB() |
|
712 |
{ |
|
713 |
int b = 0; |
|
714 |
|
|
715 |
for (int i = 0; i < 8; i++) tmpCorner8[i] = cp[i]; |
|
716 |
|
|
717 |
for (int j = 7; j > 0; j--)// compute the index b < 8! for the permutation in perm |
|
718 |
{ |
|
719 |
int k = 0; |
|
720 |
while (tmpCorner8[j] != j) |
|
721 |
{ |
|
722 |
rotateLeft(tmpCorner8, 0, j); |
|
723 |
k++; |
|
724 |
} |
|
725 |
b = (j + 1) * b + k; |
|
726 |
} |
|
727 |
|
|
728 |
return b; |
|
729 |
} |
|
730 |
|
|
731 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
732 |
void setURFtoDLB(int idx) |
|
733 |
{ |
|
734 |
int[] perm = { Corner.URF, Corner.UFL, Corner.ULB, Corner.UBR, Corner.DFR, Corner.DLF, Corner.DBL, Corner.DRB }; |
|
735 |
int k; |
|
736 |
|
|
737 |
for (int j = 1; j < 8; j++) |
|
738 |
{ |
|
739 |
k = idx % (j + 1); |
|
740 |
idx /= j + 1; |
|
741 |
while (k-- > 0) rotateRight(perm, 0, j); |
|
742 |
} |
|
743 |
|
|
744 |
int x = 7;// set corners |
|
745 |
|
|
746 |
for (int j = 7; j >= 0; j--) cp[j] = perm[x--]; |
|
747 |
} |
|
748 |
|
|
749 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
750 |
int getURtoBR() |
|
751 |
{ |
|
752 |
int b = 0; |
|
753 |
|
|
754 |
for (int i = 0; i < 12; i++) tmpEdge12[i] = ep[i]; |
|
755 |
|
|
756 |
for (int j = 11; j > 0; j--)// compute the index b < 12! for the permutation in perm |
|
757 |
{ |
|
758 |
int k = 0; |
|
759 |
|
|
760 |
while (tmpEdge12[j] != j) |
|
761 |
{ |
|
762 |
rotateLeft(tmpEdge12, 0, j); |
|
763 |
k++; |
|
764 |
} |
|
765 |
b = (j + 1) * b + k; |
|
766 |
} |
|
767 |
|
|
768 |
return b; |
|
769 |
} |
|
770 |
|
|
771 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
772 |
void setURtoBR(int idx) |
|
773 |
{ |
|
774 |
int[] perm = { Edge.UR, Edge.UF, Edge.UL, Edge.UB, Edge.DR, Edge.DF, Edge.DL, Edge.DB, Edge.FR, Edge.FL, Edge.BL, Edge.BR }; |
|
775 |
int k; |
|
776 |
|
|
777 |
for (int j = 1; j < 12; j++) |
|
778 |
{ |
|
779 |
k = idx % (j + 1); |
|
780 |
idx /= j + 1; |
|
781 |
|
|
782 |
while (k-- > 0) rotateRight(perm, 0, j); |
|
783 |
} |
|
784 |
|
|
785 |
int x = 11;// set edges |
|
786 |
|
|
787 |
for (int j = 11; j >= 0; j--) ep[j] = perm[x--]; |
|
788 |
} |
|
789 |
|
|
790 |
// ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
791 |
// Check a cubiecube for solvability. Return the error code. |
|
792 |
// 0: Cube is solvable |
|
793 |
// -2: Not all 12 edges exist exactly once |
|
794 |
// -3: Flip error: One edge has to be flipped |
|
795 |
// -4: Not all corners exist exactly once |
|
796 |
// -5: Twist error: One corner has to be twisted |
|
797 |
// -6: Parity error: Two corners ore two edges have to be exchanged |
|
798 |
int verify() |
|
799 |
{ |
|
800 |
int sum = 0; |
|
801 |
int[] edgeCount = new int[12]; |
|
802 |
|
|
803 |
for (int e = Edge.UR; e <= Edge.BR; e++) edgeCount[ep[e]]++; |
|
804 |
|
|
805 |
for (int i = 0; i < 12; i++) |
|
806 |
if (edgeCount[i] != 1) |
|
807 |
return -2; |
|
808 |
|
|
809 |
for (int i = 0; i < 12; i++) |
|
810 |
sum += eo[i]; |
|
811 |
|
|
812 |
if (sum % 2 != 0) |
|
813 |
return -3; |
|
814 |
|
|
815 |
int[] cornerCount = new int[8]; |
|
816 |
|
|
817 |
for ( int c=Corner.URF; c<=Corner.DRB; c++) cornerCount[cp[c]]++; |
|
818 |
|
|
819 |
for (int i = 0; i < 8; i++) |
|
820 |
if (cornerCount[i] != 1) |
|
821 |
return -4;// missing corners |
|
822 |
|
|
823 |
sum = 0; |
|
824 |
|
|
825 |
for (int i = 0; i < 8; i++) |
|
826 |
sum += co[i]; |
|
827 |
|
|
828 |
if (sum % 3 != 0) |
|
829 |
return -5;// twisted corner |
|
830 |
|
|
831 |
if ((edgeParity() ^ cornerParity()) != 0) |
|
832 |
return -6;// parity error |
|
833 |
|
|
834 |
return 0;// cube ok |
|
835 |
} |
|
836 |
} |
src/main/java/org/distorted/solvers/cube3/Edge.java | ||
---|---|---|
1 |
package org.distorted.solvers.cube3; |
|
2 |
|
|
3 |
//+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|
4 |
//Then names of the edge positions of the cube. Edge UR e.g., has an U(p) and R(ight) facelet. |
|
5 |
|
|
6 |
class Edge |
|
7 |
{ |
|
8 |
public static final int UR=0; |
|
9 |
public static final int UF=1; |
|
10 |
public static final int UL=2; |
|
11 |
public static final int UB=3; |
|
12 |
public static final int DR=4; |
|
13 |
public static final int DF=5; |
|
14 |
public static final int DL=6; |
|
15 |
public static final int DB=7; |
|
16 |
public static final int FR=8; |
|
17 |
public static final int FL=9; |
|
18 |
public static final int BL=10; |
|
19 |
public static final int BR=11; |
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