bool termSubsumes(const TERM& t1,const TERM& t2)
    {
      CALL("termSubsumes(const TERM& t1,const TERM& t2)");
      ALWAYS(_termTraversal1.reset(t1));
      _termTraversal2.reset(t2);
      do
	{
	  if (_termTraversal1.symbol() != _termTraversal2.symbol()) return false;
	  ALWAYS(_termTraversal1.next());
	  _termTraversal2.next();
	}
      while (_termTraversal2);
      return true;  
    }; // bool termSubsumes(const TERM& t1,const TERM& t2)

      bool nextPair(ulong& x,ulong& y)
      {
       CALL("nextPair(ulong& x,ulong& y)");
       if (_yClass.nextElement(y)) 
        {
	 if (_currX < y) { x = _currX; }
         else // result must be swapped
	  { 
	   x = y;
           y = _currX;
          };
         return true; 
        };
       if (_xClass.nextElement(_currX))  
	{
         _yClass.reset();
         ALWAYS(_yClass.nextElement(y));
         if (_currX < y) { x = _currX; }
         else // result must be swapped
	  { 
	   x = y;
           y = _currX;
          };
	 return true;
        };
       return false;
      }; 

/*
** This function is invoked by the vdbe to call the xDestroy method
** of the virtual table named zTab in database iDb. This occurs
** when a DROP TABLE is mentioned.
**
** This call is a no-op if zTab is not a virtual table.
*/
int sqlite3VtabCallDestroy(sqlite3 *db, int iDb, const char *zTab){
  int rc = SQLITE_OK;
  Table *pTab;

  pTab = sqlite3FindTable(db, zTab, db->aDb[iDb].zDbSName);
  if( pTab!=0 && ALWAYS(pTab->pVTable!=0) ){
    VTable *p;
    int (*xDestroy)(sqlite3_vtab *);
    for(p=pTab->pVTable; p; p=p->pNext){
      assert( p->pVtab );
      if( p->pVtab->nRef>0 ){
        return SQLITE_LOCKED;
      }
    }
    p = vtabDisconnectAll(db, pTab);
    xDestroy = p->pMod->pModule->xDestroy;
    assert( xDestroy!=0 );  /* Checked before the virtual table is created */
    rc = xDestroy(p->pVtab);
    /* Remove the sqlite3_vtab* from the aVTrans[] array, if applicable */
    if( rc==SQLITE_OK ){
      assert( pTab->pVTable==p && p->pNext==0 );
      p->pVtab = 0;
      pTab->pVTable = 0;
      sqlite3VtabUnlock(p);
    }
  }

  return rc;
}

static PgHdr *pcacheSortDirtyList(PgHdr *pIn){
  PgHdr *a[N_SORT_BUCKET], *p;
  int i;
  memset(a, 0, sizeof(a));
  while( pIn ){
    p = pIn;
    pIn = p->pDirty;
    p->pDirty = 0;
    for(i=0; ALWAYS(i<N_SORT_BUCKET-1); i++){
      if( a[i]==0 ){
        a[i] = p;
        break;
      }else{
        p = pcacheMergeDirtyList(a[i], p);
        a[i] = 0;
      }
    }
    if( NEVER(i==N_SORT_BUCKET-1) ){
      /* To get here, there need to be 2^(N_SORT_BUCKET) elements in
      ** the input list.  But that is impossible.
      */
      a[i] = pcacheMergeDirtyList(a[i], p);
    }
  }
  p = a[0];
  for(i=1; i<N_SORT_BUCKET; i++){
    p = pcacheMergeDirtyList(p, a[i]);
  }
  return p;
}

/*
** The first character of the string pointed to by argument z is guaranteed
** to be an open-quote character (see function fts5_isopenquote()).
**
** This function searches for the corresponding close-quote character within
** the string and, if found, dequotes the string in place and adds a new
** nul-terminator byte.
**
** If the close-quote is found, the value returned is the byte offset of
** the character immediately following it. Or, if the close-quote is not 
** found, -1 is returned. If -1 is returned, the buffer is left in an 
** undefined state.
*/
static int fts5Dequote(char *z){
  char q;
  int iIn = 1;
  int iOut = 0;
  q = z[0];

  /* Set stack variable q to the close-quote character */
  assert( q=='[' || q=='\'' || q=='"' || q=='`' );
  if( q=='[' ) q = ']';  

  while( ALWAYS(z[iIn]) ){
    if( z[iIn]==q ){
      if( z[iIn+1]!=q ){
        /* Character iIn was the close quote. */
        iIn++;
        break;
      }else{
        /* Character iIn and iIn+1 form an escaped quote character. Skip
        ** the input cursor past both and copy a single quote character 
        ** to the output buffer. */
        iIn += 2;
        z[iOut++] = q;
      }
    }else{
      z[iOut++] = z[iIn++];
    }
  }

  z[iOut] = '\0';
  return iIn;
}

/*
** Drop every cache entry whose page number is greater than "pgno". The
** caller must ensure that there are no outstanding references to any pages
** other than page 1 with a page number greater than pgno.
**
** If there is a reference to page 1 and the pgno parameter passed to this
** function is 0, then the data area associated with page 1 is zeroed, but
** the page object is not dropped.
*/
void sqlite3PcacheTruncate(PCache *pCache, Pgno pgno){
  if( pCache->pCache ){
    PgHdr *p;
    PgHdr *pNext;
    pcacheTrace(("%p.TRUNCATE %d\n",pCache,pgno));
    for(p=pCache->pDirty; p; p=pNext){
      pNext = p->pDirtyNext;
      /* This routine never gets call with a positive pgno except right
      ** after sqlite3PcacheCleanAll().  So if there are dirty pages,
      ** it must be that pgno==0.
      */
      assert( p->pgno>0 );
      if( p->pgno>pgno ){
        assert( p->flags&PGHDR_DIRTY );
        sqlite3PcacheMakeClean(p);
      }
    }
    if( pgno==0 && pCache->nRefSum ){
      sqlite3_pcache_page *pPage1;
      pPage1 = sqlite3GlobalConfig.pcache2.xFetch(pCache->pCache,1,0);
      if( ALWAYS(pPage1) ){  /* Page 1 is always available in cache, because
                             ** pCache->nRefSum>0 */
        memset(pPage1->pBuf, 0, pCache->szPage);
        pgno = 1;
      }
    }
    sqlite3GlobalConfig.pcache2.xTruncate(pCache->pCache, pgno+1);
  }
}

/* This function (for internal use only) locates an element in an
** hash table that matches the given key.  The hash for this key has
** already been computed and is passed as the 4th parameter.
*/
static HashElem *findElementGivenHash(
  const Hash *pH,     /* The pH to be searched */
  const char *pKey,   /* The key we are searching for */
  int nKey,           /* Bytes in key (not counting zero terminator) */
  unsigned int h      /* The hash for this key. */
){
  HashElem *elem;                /* Used to loop thru the element list */
  int count;                     /* Number of elements left to test */

  if( pH->ht ){
    struct _ht *pEntry = &pH->ht[h];
    elem = pEntry->chain;
    count = pEntry->count;
  }else{
    elem = pH->first;
    count = pH->count;
  }
  while( count-- && ALWAYS(elem) ){
    if( elem->nKey==nKey && sqlite3StrNICmp(elem->pKey,pKey,nKey)==0 ){ 
      return elem;
    }
    elem = elem->next;
  }
  return 0;
}

/*
** Convert an SQL-style quoted string into a normal string by removing
** the quote characters.  The conversion is done in-place.  If the
** input does not begin with a quote character, then this routine
** is a no-op.
**
** The input string must be zero-terminated.  A new zero-terminator
** is added to the dequoted string.
**
** The return value is -1 if no dequoting occurs or the length of the
** dequoted string, exclusive of the zero terminator, if dequoting does
** occur.
**
** 2002-Feb-14: This routine is extended to remove MS-Access style
** brackets from around identifers.  For example:  "[a-b-c]" becomes
** "a-b-c".
*/
int sqlite3Dequote(char *z){
  char quote;
  int i, j;
  if( z==0 ) return -1;
  quote = z[0];
  switch( quote ){
    case '\'':  break;
    case '"':   break;
    case '`':   break;                /* For MySQL compatibility */
    case '[':   quote = ']';  break;  /* For MS SqlServer compatibility */
    default:    return -1;
  }
  for(i=1, j=0; ALWAYS(z[i]); i++){
    if( z[i]==quote ){
      if( z[i+1]==quote ){
        z[j++] = quote;
        i++;
      }else{
        break;
      }
    }else{
      z[j++] = z[i];
    }
  }
  z[j] = 0;
  return j;
}

/*
** The MEM structure is already a MEM_Real.  Try to also make it a
** MEM_Int if we can.
*/
void sqlite3VdbeIntegerAffinity(Mem *pMem){
  assert( pMem->flags & MEM_Real );
  assert( (pMem->flags & MEM_RowSet)==0 );
  assert( pMem->db==0 || sqlite3_mutex_held(pMem->db->mutex) );
  assert( EIGHT_BYTE_ALIGNMENT(pMem) );

  pMem->u.i = doubleToInt64(pMem->r);

  /* Only mark the value as an integer if
  **
  **    (1) the round-trip conversion real->int->real is a no-op, and
  **    (2) The integer is neither the largest nor the smallest
  **        possible integer (ticket #3922)
  **
  ** The second and third terms in the following conditional enforces
  ** the second condition under the assumption that addition overflow causes
  ** values to wrap around.  On x86 hardware, the third term is always
  ** true and could be omitted.  But we leave it in because other
  ** architectures might behave differently.
  */
  if( pMem->r==(double)pMem->u.i
   && pMem->u.i>SMALLEST_INT64
#if defined(__i486__) || defined(__x86_64__)
   && ALWAYS(pMem->u.i<LARGEST_INT64)
#else
   && pMem->u.i<LARGEST_INT64
#endif
  ){
    pMem->flags |= MEM_Int;
  }
}

/*
** This function is invoked by the vdbe to call the xCreate method
** of the virtual table named zTab in database iDb. 
**
** If an error occurs, *pzErr is set to point to an English language
** description of the error and an SQLITE_XXX error code is returned.
** In this case the caller must call sqlite3DbFree(db, ) on *pzErr.
*/
int sqlite3VtabCallCreate(sqlite3 *db, int iDb, const char *zTab, char **pzErr){
  int rc = SQLITE_OK;
  Table *pTab;
  Module *pMod;
  const char *zMod;

  pTab = sqlite3FindTable(db, zTab, db->aDb[iDb].zDbSName);
  assert( pTab && (pTab->tabFlags & TF_Virtual)!=0 && !pTab->pVTable );

  /* Locate the required virtual table module */
  zMod = pTab->azModuleArg[0];
  pMod = (Module*)sqlite3HashFind(&db->aModule, zMod);

  /* If the module has been registered and includes a Create method, 
  ** invoke it now. If the module has not been registered, return an 
  ** error. Otherwise, do nothing.
  */
  if( pMod==0 || pMod->pModule->xCreate==0 || pMod->pModule->xDestroy==0 ){
    *pzErr = sqlite3MPrintf(db, "no such module: %s", zMod);
    rc = SQLITE_ERROR;
  }else{
    rc = vtabCallConstructor(db, pTab, pMod, pMod->pModule->xCreate, pzErr);
  }

  /* Justification of ALWAYS():  The xConstructor method is required to
  ** create a valid sqlite3_vtab if it returns SQLITE_OK. */
  if( rc==SQLITE_OK && ALWAYS(sqlite3GetVTable(db, pTab)) ){
    rc = growVTrans(db);
    if( rc==SQLITE_OK ){
      addToVTrans(db, sqlite3GetVTable(db, pTab));
    }
  }

  return rc;
}

/*
** The text between zStart and zEnd represents a phrase within a larger
** SQL statement.  Make a copy of this phrase in space obtained form
** sqlite3DbMalloc().  Omit leading and trailing whitespace.
*/
char *sqlite3DbSpanDup(sqlite3 *db, const char *zStart, const char *zEnd){
  int n;
  while( sqlite3Isspace(zStart[0]) ) zStart++;
  n = (int)(zEnd - zStart);
  while( ALWAYS(n>0) && sqlite3Isspace(zStart[n-1]) ) n--;
  return sqlite3DbStrNDup(db, zStart, n);
}

static PgHdr *pcacheSortDirtyList(PgHdr *pIn){
  PgHdr *a[N_SORT_BUCKET], *p;
  int i;
  memset(a, 0, sizeof(a));
  while( pIn ){
    p = pIn;
    pIn = p->pDirty;
    p->pDirty = 0;
    for(i=0; ALWAYS(i<N_SORT_BUCKET-1); i++){
      if( a[i]==0 ){
        a[i] = p;
        break;
      }else{
        p = pcacheMergeDirtyList(a[i], p);
        a[i] = 0;
      }
    }
    if( NEVER(i==N_SORT_BUCKET-1) ){
      a[i] = pcacheMergeDirtyList(a[i], p);
    }
  }
  p = a[0];
  for(i=1; i<N_SORT_BUCKET; i++){
    p = pcacheMergeDirtyList(p, a[i]);
  }
  return p;
}

/*
** This routine takes the module argument that has been accumulating
** in pParse->zArg[] and appends it to the list of arguments on the
** virtual table currently under construction in pParse->pTable.
*/
static void addArgumentToVtab(Parse *pParse){
  if( pParse->sArg.z && ALWAYS(pParse->pNewTable) ){
    const char *z = (const char*)pParse->sArg.z;
    int n = pParse->sArg.n;
    sqlite3 *db = pParse->db;
    addModuleArgument(db, pParse->pNewTable, sqlite3DbStrNDup(db, z, n));
  }
}

/*
** Set the LIKEOPT flag on the 2-argument function with the given name.
*/
static void setLikeOptFlag(sqlite3 *db, const char *zName, u8 flagVal){
  FuncDef *pDef;
  pDef = sqlite3FindFunction(db, zName, sqlite3Strlen30(zName),
                             2, SQLITE_UTF8, 0);
  if( ALWAYS(pDef) ){
    pDef->flags = flagVal;
  }
}

/*
** Free a page object allocated by pcache1AllocPage().
**
** The pointer is allowed to be NULL, which is prudent.  But it turns out
** that the current implementation happens to never call this routine
** with a NULL pointer, so we mark the NULL test with ALWAYS().
*/
static void pcache1FreePage(PgHdr1 *p){
  if( ALWAYS(p) ){
    if( p->pCache->bPurgeable ){
      pcache1.nCurrentPage--;
    }
    pcache1Free(PGHDR1_TO_PAGE(p));
  }
}

/*
** Free a page object allocated by pcache1AllocPage().
**
** The pointer is allowed to be NULL, which is prudent.  But it turns out
** that the current implementation happens to never call this routine
** with a NULL pointer, so we mark the NULL test with ALWAYS().
*/
static void pcache1FreePage(PgHdr1 *p){
  if( ALWAYS(p) ){
    PCache1 *pCache = p->pCache;
    if( pCache->bPurgeable ){
      pCache->pGroup->nCurrentPage--;
    }
    pcache1Free(PGHDR1_TO_PAGE(p));
  }
}

 void reset(EquivalenceRelation& rel,const ulong& x,const ulong& y)
 {
  CALL("MergedPairs::reset(EquivalenceRelation& rel,const ulong& x,const ulong& y)");
  ASSERT(!rel.Equivalent(x,y));
  rel.Normalize();
  _xClass.init(rel,x);
  _yClass.init(rel,y);
  ALWAYS(_xClass.nextElement(_currX)); 
 };

static void minMaxFinalize(sqlite3_context *context){
  sqlite3_value *pRes;
  pRes = (sqlite3_value *)sqlite3_aggregate_context(context, 0);
  if( pRes ){
    if( ALWAYS(pRes->flags) ){
      sqlite3_result_value(context, pRes);
    }
    sqlite3VdbeMemRelease(pRes);
  }
}

/*
** This is the top-level implementation of sqlite3_step().  Call
** sqlite3Step() to do most of the work.  If a schema error occurs,
** call sqlite3Reprepare() and try again.
*/
int sqlite3_step(sqlite3_stmt *pStmt){
  int rc = SQLITE_OK;      /* Result from sqlite3Step() */
  int rc2 = SQLITE_OK;     /* Result from sqlite3Reprepare() */
  Vdbe *v = (Vdbe*)pStmt;  /* the prepared statement */
  int cnt = 0;             /* Counter to prevent infinite loop of reprepares */
  sqlite3 *db;             /* The database connection */

  if( vdbeSafetyNotNull(v) ){
    return SQLITE_MISUSE_BKPT;
  }
  db = v->db;
  sqlite3_mutex_enter(db->mutex);
  v->doingRerun = 0;
  while( (rc = sqlite3Step(v))==SQLITE_SCHEMA
         && cnt++ < SQLITE_MAX_SCHEMA_RETRY
         && (rc2 = rc = sqlite3Reprepare(v))==SQLITE_OK ){
    sqlite3_reset(pStmt);
    v->doingRerun = 1;
    assert( v->expired==0 );
  }
  if( rc2!=SQLITE_OK && ALWAYS(v->isPrepareV2) && ALWAYS(db->pErr) ){
    /* This case occurs after failing to recompile an sql statement. 
    ** The error message from the SQL compiler has already been loaded 
    ** into the database handle. This block copies the error message 
    ** from the database handle into the statement and sets the statement
    ** program counter to 0 to ensure that when the statement is 
    ** finalized or reset the parser error message is available via
    ** sqlite3_errmsg() and sqlite3_errcode().
    */
    const char *zErr = (const char *)sqlite3_value_text(db->pErr); 
    sqlite3DbFree(db, v->zErrMsg);
    if( !db->mallocFailed ){
      v->zErrMsg = sqlite3DbStrDup(db, zErr);
      v->rc = rc2;
    } else {
      v->zErrMsg = 0;
      v->rc = rc = SQLITE_NOMEM;
    }
  }
  rc = sqlite3ApiExit(db, rc);
  sqlite3_mutex_leave(db->mutex);
  return rc;
}

 void  operator delete(void* obj) 
 {
  CALL("LitRedexPair::operator delete(void* obj)"); 
  #ifdef DEBUG_ALLOC_OBJ_TYPE
   ALWAYS(_classDesc.registerDeallocated(sizeof(LitRedexPair)));
   BK::GlobAlloc::deallocate(obj,sizeof(LitRedexPair),&_classDesc);
  #else
   BK::GlobAlloc::deallocate(obj,sizeof(LitRedexPair));  
  #endif 
 };