Experiments with permutations.

src/misc/extra/extraUtilCube.c

@@ -57,8 +57,8 @@ void Abc_EnumerateCubeStates2()
         { {2,14}, {2,24}, {2,12}, {3,13}, {3,23}, {3,10}, {1,15}, {1,22}, {1,11} },
         { {1,10}, {1, 7}, {1, 4}, {3,12}, {3, 9}, {3, 6}, {2,11}, {2, 8}, {2, 5} }  };
 
-    Vec_Int_t * vData = Vec_IntStart( 6 * (1 << 22) );
-    Hsh_IntMan_t * vHash = Hsh_IntManStart( vData, 6, 1 << 22 );
+    Vec_Int_t * vData = Vec_IntStart( 6 * (1 << 22) );            // 96 MB
+    Hsh_IntMan_t * vHash = Hsh_IntManStart( vData, 6, 1 << 22 );  // 32 MB
     int i, k, v, RetValue, Beg, End, Counter = 0;
     char pStart[24], pFirst[9][24];
     abctime clk = Abc_Clock();
@@ -160,70 +160,113 @@ Iter 12 ->  3674160   Time =    70.48 sec
 
 ***********************************************************************/
 static inline int  Abc_DataHasBit( word * p, word i )  { return (p[(i)>>6] & (1<<((i) & 63))) > 0; }
-static inline void Abc_DataSetBit( word * p, word i )  { p[(i)>>6] |= (1<<((i) & 63));             }
 static inline void Abc_DataXorBit( word * p, word i )  { p[(i)>>6] ^= (1<<((i) & 63));             }
 static inline int  Abc_DataGetCube( word w, int i )         { return (w >> (5*i)) & 31;            }
 static inline word Abc_DataXorCube( word w, int i, int c )  { return w ^ (((word)c) << (5*i));     }
+static inline word Abc_CubeGenerateSign( char * pState )
+{
+    static int Var2Cor[24] = { 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, -1, -1, -1, 6, 6, 6 };
+    static int Var2Per[24] = { 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, -1, -1, -1, 0, 1, 2 };
+    word Res = 0; 
+    Res = Abc_DataXorCube( Res, 0, (Var2Cor[(int)pState[ 0]] << 2) | Var2Per[(int)pState[ 0]] );
+    Res = Abc_DataXorCube( Res, 1, (Var2Cor[(int)pState[ 3]] << 2) | Var2Per[(int)pState[ 3]] );
+    Res = Abc_DataXorCube( Res, 2, (Var2Cor[(int)pState[ 6]] << 2) | Var2Per[(int)pState[ 6]] );
+    Res = Abc_DataXorCube( Res, 3, (Var2Cor[(int)pState[ 9]] << 2) | Var2Per[(int)pState[ 9]] );
+    Res = Abc_DataXorCube( Res, 4, (Var2Cor[(int)pState[12]] << 2) | Var2Per[(int)pState[12]] );
+    Res = Abc_DataXorCube( Res, 5, (Var2Cor[(int)pState[15]] << 2) | Var2Per[(int)pState[15]] );
+    Res = Abc_DataXorCube( Res, 6, (Var2Cor[(int)pState[21]] << 2) | Var2Per[(int)pState[21]] );
+    return Res;
+}
+
+/**Function*************************************************************
+
+  Synopsis    []
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
 void Abc_EnumerateCubeStates()
 {
-    extern word Aig_ManRandom64( int fReset );
-
-    int pXYZ[3][4][3] = {
-        { {0, 4, 0}, {4, 6, 0}, {6, 3, 1}, {3, 0,-1} }, 
-        { {1, 3, 1}, {3, 6, 0}, {6, 5, 0}, {5, 1,-1} }, 
-        { {2, 5, 0}, {5, 6,-1}, {6, 4, 1}, {4, 2, 0} } 
-    }; 
-    int pPerms[9][4][3] = {0};
-    int i, k, v, u, Beg, End, Cube0, Cube1;
-    Vec_Wrd_t * vStates = Vec_WrdAlloc( 1 << 22 ); // 16 MB
-    word * pHash = ABC_CALLOC( word, 1 << 29 );    //  4 GB
-    word New, Init = 0;
-
-    // estimate
-    int Counter = 0;    
+    int pXYZ[3][9][2] = {
+        { {3, 5}, {3,17}, {3,15}, {1, 6}, {1,16}, {1,14}, {2, 4}, {2,18}, {2,13} },
+        { {2,14}, {2,24}, {2,12}, {3,13}, {3,23}, {3,10}, {1,15}, {1,22}, {1,11} },
+        { {1,10}, {1, 7}, {1, 4}, {3,12}, {3, 9}, {3, 6}, {2,11}, {2, 8}, {2, 5} }  };
+
+    Vec_Int_t * vData = Vec_IntStart( 6 * (1 << 22) );  // 96 MB
+    word State, * pHash = ABC_CALLOC( word, 1 << 29 );  //  4 GB
+    int i, k, v, Beg, End, Counter = 0;
+    char * pPrev, * pState, pStart[24], pFirst[9][24];
     abctime clk = Abc_Clock();
-    Aig_ManRandom64( 1 );
-    for ( i = 0; i < 3674160; i++ )
-        for ( v = 0; v < 9; v++ )
+    printf( "Enumerating states of 2x2x2 cube.\n" );
+    // init state
+    for ( v = 0; v < 24; v++ )
+        pStart[v] = v;
+    Abc_StatePush( vData, pStart, Counter );
+    Abc_DataXorBit( pHash, Abc_CubeGenerateSign(pStart) );
+    Counter++;
+    // first nine states
+    for ( i = 0; i < 3; i++ )
     {
-            Init = Aig_ManRandom64( 0 ) & ABC_CONST(0x7FFFFFFFF);
-            if ( Abc_DataHasBit(pHash, Init) )
+        memcpy( pFirst[i], pStart, 24 );
+        for ( v = 0; v < 9; v++ )
+            ABC_SWAP( char, pFirst[i][pXYZ[i][v][0]-1], pFirst[i][pXYZ[i][v][1]-1] );
+        Abc_StatePush( vData, pFirst[i], Counter );
+        Abc_DataXorBit( pHash, Abc_CubeGenerateSign(pFirst[i]) );
         Counter++;
-            else
-                Abc_DataSetBit(pHash, Init);
+        //Abc_StatePrint( pFirst[i] );
+
+        memcpy( pFirst[3+i], pFirst[i], 24 );
+        for ( v = 0; v < 9; v++ )
+            ABC_SWAP( char, pFirst[3+i][pXYZ[i][v][0]-1], pFirst[3+i][pXYZ[i][v][1]-1] );
+        Abc_StatePush( vData, pFirst[3+i], Counter );
+        Abc_DataXorBit( pHash, Abc_CubeGenerateSign(pFirst[3+i]) );
+        Counter++;
+        //Abc_StatePrint( pFirst[3+i] );
+
+        memcpy( pFirst[6+i], pFirst[3+i], 24 );
+        for ( v = 0; v < 9; v++ )
+            ABC_SWAP( char, pFirst[6+i][pXYZ[i][v][0]-1], pFirst[6+i][pXYZ[i][v][1]-1] );
+        Abc_StatePush( vData, pFirst[6+i], Counter );
+        Abc_DataXorBit( pHash, Abc_CubeGenerateSign(pFirst[6+i]) );
+        Counter++;
+        //Abc_StatePrint( pFirst[6+i] );
     }
-    printf( "Counter = %d   ", Counter );
+    printf( "Iter %2d -> %8d   ", 0, 1 );
     Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
-
-    if ( Counter == -1 )
-    {
-    for ( i = 0; i < 7; i++ )
-        Init = Abc_DataXorCube( Init, i, i << 2 );
-    Vec_WrdPush( vStates, Init );
-    Abc_DataSetBit( pHash, Init );
-    Beg = 0; End = 1;
-    for ( i = 1; i <= 100; i++ )
+    printf( "Iter %2d -> %8d   ", 1, Counter );
+    Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
+    Beg = 1;  End = 10;
+    for ( i = 2; i <= 100; i++ )
     {
         if ( Beg == End )
             break;
-        Vec_WrdForEachEntryStartStop( vStates, Init, k, Beg, End )
+        for ( k = Beg; k < End; k++ )
+        {
+            pPrev = (char *)Vec_IntEntryP(vData, 6*k);
             for ( v = 0; v < 9; v++ )
             {
-                New = Init;
-                for ( u = 0; u < 4; u++ )
+                pState = (char *)Vec_IntEntryP(vData, 6*Counter);
+                Abc_StatePerm( pPrev, pFirst[v], pState );
+                State = Abc_CubeGenerateSign( pState );
+                if ( !Abc_DataHasBit(pHash, State) )
+                    Abc_DataXorBit(pHash, State), Counter++;
+                if ( Counter == (1<<22) )
                 {
-                    Cube0 = Abc_DataGetCube( Init, pPerms[v][u][0] );
-                    Cube1 = Abc_DataGetCube( Init, pPerms[v][u][1] );
-                    New = Abc_DataXorCube( New, pPerms[v][u][1], Cube0 - pPerms[v][u][2] );
-                    New = Abc_DataXorCube( New, pPerms[v][u][0], Cube1 + pPerms[v][u][2] );
+                    printf( "Did not converge.  " );
+                    Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
+                    return;
                 }
-                if ( !Abc_DataHasBit( pHash, New ) )
-                    Vec_WrdPush( vStates, New );
             }
         }
+        Beg = End;  End = Counter;
+        printf( "Iter %2d -> %8d   ", i, Counter );
+        Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
     }
-
-    Vec_WrdFree( vStates );
+    Vec_IntFree( vData );
     ABC_FREE( pHash );
 }