Experiments with cube hashing.

1 files changed, 292 insertions, 1 deletions

diff --git a/src/misc/extra/extraUtilPrime.c b/src/misc/extra/extraUtilPrime.c
index 3b969401..862ac562 100644
--- a/src/misc/extra/extraUtilPrime.c
+++ b/src/misc/extra/extraUtilPrime.c
@@ -82,9 +82,12 @@ void Abc_GenCountHits1( Vec_Bit_t * vMap, Vec_Int_t * vPrimes, int nVars )
     {
         for ( k = 0; k < nVars; k++ )
             if ( !Vec_BitEntry(vMap, Prime ^ (1<<k)) )
+            {
+                //printf( "%3d : %2d %2d     flipped bit %d\n", Count, Prime, Prime ^ (1<<k), k );
                 Count++;
+            }
     }
-    printf( "Dist1 pairs = %d. ", Count );
+    printf( "Dist1 pairs = %d. ", Count/2 );
     Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
 }
 Vec_Int_t * Abc_GenPrimes( int nVars )
@@ -92,6 +95,8 @@ Vec_Int_t * Abc_GenPrimes( int nVars )
     int i, n, nBits = ( 1 << nVars );
     Vec_Bit_t * vMap = Vec_BitStart( nBits );
     Vec_Int_t * vPrimes = Vec_IntAlloc( 1000 );
+    Vec_BitWriteEntry(vMap, 0, 1);
+    Vec_BitWriteEntry(vMap, 1, 1);
     for ( n = 2; n < nBits; n++ )
         if ( !Vec_BitEntry(vMap, n) )
             for ( i = 2*n; i < nBits; i += n )
@@ -99,6 +104,7 @@ Vec_Int_t * Abc_GenPrimes( int nVars )
     for ( n = 2; n < nBits; n++ )
         if ( !Vec_BitEntry(vMap, n) )
             Vec_IntPush( vPrimes, n );
+    printf( "Primes up to 2^%d = %d\n", nVars, Vec_IntSize(vPrimes) );
     Abc_GenCountHits1( vMap, vPrimes, nVars );
     Vec_BitFree( vMap );
     return vPrimes;
@@ -115,6 +121,291 @@ void Abc_GenPrimesTest()
     Vec_IntFree( vPrimes );
 }
 
+
+
+#define ABC_PRIME_MASK 0x3FF
+static int s_1kPrimes[ABC_PRIME_MASK+1] = 
+{
+/*
+    53,
+    97,
+    193,
+    389,
+    769,
+    1543,
+    3079,
+    6151,
+    12289,
+    24593,
+    49157,
+    98317,
+    196613,
+    393241,
+    786433,
+    1572869,
+    3145739,
+    6291469,
+    12582917,
+    25165843,
+    50331653,
+    100663319,
+    201326611,
+    402653189,
+    805306457,
+    1610612741,
+    0
+*/
+    901403,984877,908741,966307,924437,965639,918787,931067,982621,917669,981473,936407,990487,926077,922897,970861,
+    942317,961747,979717,978947,940157,987821,981221,917713,983083,992231,928253,961187,991817,927643,923129,934291,
+    998071,967567,961087,988661,910031,930481,904489,974167,941351,959911,963811,921463,900161,934489,905629,930653,
+    901819,909457,939871,924083,915113,937969,928457,946291,973787,912869,994093,959279,905803,995219,949903,911011,
+    986707,995053,930583,955511,928307,930889,968729,911507,949043,939359,961679,918041,937681,909091,963913,923539,
+    929587,953347,917573,913037,995387,976483,986239,946949,922489,917887,957553,931529,929813,949567,941683,905161,
+    928819,932417,900089,935903,926587,914467,967361,944833,945881,941741,915949,903407,904157,971863,993893,963607,
+    918943,912463,980957,962963,968089,904513,963763,907363,904097,904093,991343,918347,986983,986659,935819,903569,
+    929171,913933,999749,923123,961531,935861,915053,994853,943511,969923,927191,968333,949391,950959,968311,991409,
+    911681,987101,904027,975259,907399,946223,907259,900409,957221,901063,974657,912337,979001,970147,982301,968213,
+    923959,964219,935443,950161,989251,936127,985679,958159,930077,971899,944857,956083,914293,941981,909481,909047,
+    960527,958183,970687,914827,949051,928159,933551,964423,914041,915869,929953,901367,914219,975551,912391,917809,
+    991499,904781,949153,959887,961957,970943,947741,941263,984541,951437,984301,947423,905761,964913,971357,927709,
+    916441,941933,956993,988243,921197,905453,922081,950813,946331,998561,929023,937421,956231,907651,977897,905491,
+    960173,931837,955217,911951,990643,971021,949439,988453,996781,951497,906011,944309,911293,917123,983803,928097,
+    977747,928703,949957,919189,925513,923953,904997,986351,930689,902009,912007,906757,955793,926803,906809,962743,
+    911917,909329,949021,974651,959083,945367,905137,948377,931757,945409,920279,915007,960121,920609,946163,946391,
+    928903,932951,944329,901529,959809,918469,978643,911159,982573,965411,962233,911269,953273,974437,907589,992269,
+    929399,980431,905693,968267,970481,911089,950557,913799,920407,974489,909863,918529,975277,929323,971549,969181,
+    972787,964267,939971,943763,940483,971501,921637,945341,955211,920701,978349,969041,929861,904103,908539,995369,
+    995567,917471,908879,993821,947783,954599,978463,914519,942869,947263,988343,914657,956987,903641,943343,991063,
+    985403,926327,982829,958439,942017,960353,944987,934793,948971,999331,990767,915199,912211,946459,997019,965059,
+    924907,983233,943273,945359,919613,933883,928927,942763,994087,996211,918971,924871,938491,957139,918839,914629,
+    974329,900577,952823,941641,900461,946997,983123,935149,923693,908419,995651,912871,987067,920201,913921,929209,
+    962509,974599,972001,920273,922099,951781,958549,909971,975133,937207,929941,961397,980677,923579,980081,942199,
+    940319,942979,912349,942691,986989,947711,972343,932663,937877,940369,919571,927187,981439,932353,952313,915947,
+    915851,974041,989381,921029,997013,999199,914801,918751,997327,992843,982133,932051,964861,903979,937463,916781,
+    944389,986719,958369,961451,917767,954367,949853,934939,958807,975797,949699,957097,980773,969989,934907,909281,
+    904679,909833,991741,946769,908381,932447,957889,981697,905701,919033,999023,993541,912953,911719,934603,925019,
+    989341,912269,917789,981049,959149,989909,960521,952183,922627,936253,910957,972047,945037,940399,928313,928471,
+    962459,959947,927541,917333,926899,911837,985631,955127,922729,911171,900511,926251,918209,943477,955277,959773,
+    971039,917353,955313,930301,990799,957731,917519,938507,988111,911657,999721,968917,934537,903073,921703,966227,
+    904661,998213,954307,931309,909331,933643,910099,958627,914533,902903,950149,972721,915157,969037,988219,944137,
+    976411,952873,964787,970927,968963,920741,975187,966817,982909,975281,931907,959267,980711,924617,975691,962309,
+    976307,932209,989921,907969,947927,932207,945397,948929,904903,938563,961691,977671,963173,927149,951061,966547,
+    937661,983597,948139,948041,982759,941093,993703,910097,902347,990307,978217,996763,904919,924641,902299,929549,
+    977323,975071,932917,996293,925579,925843,915487,917443,999541,943043,919109,959879,912173,986339,939193,939599,
+    927077,977183,966521,959471,991943,985951,942187,932557,904297,972337,931751,964097,942341,966221,929113,960131,
+    906427,970133,996511,925637,971651,983443,981703,933613,939749,929029,958043,961511,957241,901079,950479,975493,
+    985799,909401,945601,911077,978359,948151,950333,968879,978727,961151,957823,950393,960293,915683,971513,915659,
+    943841,902477,916837,911161,958487,963691,949607,935707,987607,901613,972557,938947,931949,919021,982217,914737,
+    913753,971279,981683,915631,907807,970421,983173,916099,984587,912049,981391,947747,966233,932101,991733,969757,
+    904283,996601,979807,974419,964693,931537,917251,967961,910093,989321,988129,997307,963427,999221,962447,991171,
+    993137,914339,964973,908617,968567,920497,980719,949649,912239,907367,995623,906779,914327,918131,983113,962993,
+    977849,914941,932681,905713,932579,923977,965507,916469,984119,931981,998423,984407,993841,901273,910799,939847,
+    997153,971429,994927,912631,931657,968377,927833,920149,978041,947449,993233,927743,939737,975017,961861,984539,
+    938857,977437,950921,963659,923917,932983,922331,982393,983579,935537,914357,973051,904531,962077,990281,989231,
+    910643,948281,961141,911839,947413,923653,982801,903883,931943,930617,928679,962119,969977,926921,999773,954181,
+    963019,973411,918139,959719,918823,941471,931883,925273,918173,949453,946993,945457,959561,968857,935603,978283,
+    978269,947389,931267,902599,961189,947621,920039,964049,947603,913259,997811,943843,978277,972119,929431,918257,
+    991663,954043,910883,948797,929197,985057,990023,960961,967139,923227,923371,963499,961601,971591,976501,989959,
+    908731,951331,989887,925307,909299,949159,913447,969797,959449,976957,906617,901213,922667,953731,960199,960049,
+    985447,942061,955613,965443,947417,988271,945887,976369,919823,971353,962537,929963,920473,974177,903649,955777,
+    963877,973537,929627,994013,940801,985709,995341,936319,904681,945817,996617,953191,952859,934889,949513,965407,
+    988357,946801,970391,953521,905413,976187,968419,940669,908591,976439,915731,945473,948517,939181,935183,978067,
+    907663,967511,968111,981599,913907,933761,994933,980557,952073,906557,935621,914351,967903,949129,957917,971821,
+    925937,926179,955729,966871,960737,968521,949997,956999,961273,962683,990377,908851,932231,929749,932149,966971,
+    922079,978149,938453,958313,995381,906259,969503,922321,918947,972443,916411,935021,944429,928643,952199,918157,
+    917783,998497,944777,917771,936731,999953,975157,908471,989557,914189,933787,933157,938953,922931,986569,964363,
+    906473,963419,941467,946079,973561,957431,952429,965267,978473,924109,979529,991901,988583,918259,961991,978037,
+    938033,949967,986071,986333,974143,986131,963163,940553,950933,936587,923407,950357,926741,959099,914891,976231,
+    949387,949441,943213,915353,983153,975739,934243,969359,926557,969863,961097,934463,957547,916501,904901,928231,
+    903673,974359,932219,916933,996019,934399,955813,938089,907693,918223,969421,940903,940703,913027,959323,940993,
+    937823,906691,930841,923701,933259,911959,915601,960251,985399,914359,930827,950251,975379,903037,905783,971237
+};
+
+#define TAB_UNUSED 0xFFFF
+
+typedef struct Tab_Man_t_ Tab_Man_t;
+typedef struct Tab_Ent_t_ Tab_Ent_t;
+struct Tab_Man_t_
+{
+    int         nVars;
+    int         nCubes;
+    int *       pCubes;   // pointers to cubes
+    int *       pValues;  // hash values
+    Tab_Ent_t * pTable;   // hash table (lits -> cube + lit + lit)
+    int         Degree;   // degree of 2 larger than log2(nCubes)
+    int         Mask;     // table size (2^Degree)
+    int         nEnts;    // number of entries
+};
+struct Tab_Ent_t_
+{
+    int         Table;
+    int         Cube;
+    unsigned    VarA : 16;
+    unsigned    VarB : 16;
+    int         Next;
+};
+
+static inline int * Tab_ManCube( Tab_Man_t * p, int i ) { return p->pCubes + i * (p->nVars + 1); }
+static inline int   Tab_ManValue( Tab_Man_t * p, int a )
+{
+    return (a + 53) * s_1kPrimes[a];
+}
+static inline int   Tab_ManFinal( Tab_Man_t * p, int a )
+{
+//    return (a ^ (a >> p->Degree)) & p->Mask;
+    return a & p->Mask;
+}
+static inline int   Tab_ManHashValue( Tab_Man_t * p, int * pCube )
+{
+    unsigned Value = 0; int i;
+    for ( i = 1; i <= pCube[0]; i++ )
+        Value += Tab_ManValue( p, pCube[i] );
+    return Value;
+}
+static inline void  Tab_ManHashAdd( Tab_Man_t * p, int Value, int Cube, int VarA, int VarB )
+{
+    Tab_Ent_t * pCell = p->pTable + p->nEnts;
+    Tab_Ent_t * pBin  = p->pTable + Value;
+    if ( pBin->Table )
+        pCell->Next = pBin->Table;
+    pBin->Table = p->nEnts++;
+    pCell->Cube = Cube;
+    pCell->VarA = VarA;
+    pCell->VarB = VarB;
+}
+static inline void  Tab_ManPrintCube( Tab_Man_t * p, int c, int Var )
+{
+    int i, * pCube = Tab_ManCube( p, c );
+    for ( i = 1; i <= pCube[0]; i++ )
+        if ( i == Var + 1 )
+            printf( "-" );
+        else
+            printf( "%d", !Abc_LitIsCompl(pCube[i]) );
+}
+static inline void  Tab_ManPrintEntry( Tab_Man_t * p, int e )
+{
+    printf( "Entry %4d : ", e );
+    printf( "%3d   ", p->pTable[e].Cube );
+    Tab_ManPrintCube( p, p->pTable[e].Cube, p->pTable[e].VarA );
+    printf( "   " );
+    if ( p->pTable[e].VarA != 0xFFFF )
+        printf( "%2d ", p->pTable[e].VarA );
+    else
+        printf( "   " );
+    if ( p->pTable[e].VarB != 0xFFFF )
+        printf( "%2d ", p->pTable[e].VarB );
+    else
+        printf( "   " );
+    printf( "\n" );
+}
+
+/**Function*************************************************************
+
+  Synopsis    [Table decomposition.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+Tab_Man_t * Tab_ManAlloc( int nVars, int nCubes )
+{
+    Tab_Man_t * p = ABC_CALLOC( Tab_Man_t, 1 );
+    p->nVars   = nVars;
+    p->nCubes  = nCubes;
+    p->Degree  = Abc_Base2Log((p->nVars + 1) * p->nCubes + 1) + 3;
+    p->Mask    = (1 << p->Degree) - 1;
+    p->nEnts   = 1;
+    p->pCubes  = ABC_ALLOC( int, p->nCubes * (p->nVars + 1) );
+    p->pValues = ABC_ALLOC( int, p->nCubes );
+    p->pTable  = ABC_CALLOC( Tab_Ent_t, (p->Mask + 1) );
+    printf( "Allocated %.2f MB for table with %d entries (degree %d) (expected %d).\n", 16.0 * (p->Mask + 1) / (1 << 20), p->Mask + 1, p->Degree, p->nCubes * (p->nVars + 1) );
+    return p;
+}
+void Tab_ManFree( Tab_Man_t * p )
+{
+    ABC_FREE( p->pCubes );
+    ABC_FREE( p->pValues );
+    ABC_FREE( p->pTable );
+    ABC_FREE( p );
+}
+void Tab_ManStart( Tab_Man_t * p, Vec_Int_t * vCubes )
+{
+    int Count0 = 0, Count1 = 0, Count2 = 0, Count3 = 0;
+    int * pCube, Cube, c, v;
+    Vec_IntForEachEntry( vCubes, Cube, c )
+    {
+        pCube = Tab_ManCube( p, c );
+        pCube[0] = p->nVars;
+        for ( v = 0; v < p->nVars; v++ )
+            pCube[v+1] = Abc_Var2Lit( v, !((Cube >> v) & 1) );
+        p->pValues[c] = Tab_ManHashValue( p, pCube );
+        Tab_ManHashAdd( p, Tab_ManFinal(p, p->pValues[c]), c, TAB_UNUSED, TAB_UNUSED );
+        // add distance-1 
+        for ( v = 0; v < p->nVars; v++ )
+            Tab_ManHashAdd( p, Tab_ManFinal(p, p->pValues[c] - Tab_ManValue(p, pCube[v+1])), c, v, TAB_UNUSED );
+//printf( "%3d : %3d  ", c, Cube );
+//Tab_ManPrintCube( p, c, TAB_UNUSED );
+//printf( "\n" );
+    }
+    // count empty cell, one-entry cells, and multi-entry cells
+    for ( v = 0; v <= p->Mask; v++ )
+    {
+/*
+        int i, iStart = p->pTable[v].Table;
+        for ( i = 0; iStart; i++, iStart = p->pTable[iStart].Next );
+        printf( "%d ", i );
+*/
+/*
+        if ( v < 100 )
+        {
+            int i, iStart = p->pTable[v].Table;
+            if ( iStart )
+                printf( "\nBin %d\n", v );
+            for ( i = 0; iStart; i++, iStart = p->pTable[iStart].Next )
+                Tab_ManPrintEntry( p, iStart );
+        }
+*/
+        if ( p->pTable[v].Table == 0 )
+            Count0++;
+        else if ( p->pTable[p->pTable[v].Table].Next == 0 )
+            Count1++;
+        else if ( p->pTable[p->pTable[p->pTable[v].Table].Next].Next == 0 )
+            Count2++;
+        else
+            Count3++;
+    }
+    printf( "0 = %d.  1 = %d.  2 = %d.  3+ = %d.\n", Count0, Count1, Count2, Count3 );
+}
+
+
+/**Function*************************************************************
+
+  Synopsis    [Table decomposition.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+void Tab_DecomposeTest()
+{
+    int nVars = 20;// no more than 13
+    abctime clk = Abc_Clock();
+    Vec_Int_t * vPrimes = Abc_GenPrimes( nVars );
+    Tab_Man_t * p = Tab_ManAlloc( nVars, Vec_IntSize(vPrimes) );
+    Tab_ManStart( p, vPrimes );
+    printf( "Added %d entries.\n", p->nEnts );
+    Tab_ManFree( p );
+    Vec_IntFree( vPrimes );
+    Abc_PrintTime( 1, "Time", Abc_Clock() - clk );
+}
+
+
 ////////////////////////////////////////////////////////////////////////
 ///                       END OF FILE                                ///
 ////////////////////////////////////////////////////////////////////////