ExprList *pGroupBy = pWalker->u.pGroupBy;
  int i;

  /* Check if pExpr is identical to any GROUP BY term. If so, consider
  ** it constant.  */
  for(i=0; i<pGroupBy->nExpr; i++){
    Expr *p = pGroupBy->a[i].pExpr;
    if( sqlite3ExprCompare(pExpr, p, -1)<2 ){
      CollSeq *pColl = sqlite3ExprCollSeq(pWalker->pParse, p);
      if( pColl==0 || sqlite3_stricmp("BINARY", pColl->zName)==0 ){
        return WRC_Prune;
      }
    }
  }

................................................................................
  ExprList *p;
  assert( ConstFactorOk(pParse) );
  p = pParse->pConstExpr;
  if( regDest<0 && p ){
    struct ExprList_item *pItem;
    int i;
    for(pItem=p->a, i=p->nExpr; i>0; pItem++, i--){
      if( pItem->reusable && sqlite3ExprCompare(pItem->pExpr,pExpr,-1)==0 ){
        return pItem->u.iConstExprReg;
      }
    }
  }
  pExpr = sqlite3ExprDup(pParse->db, pExpr, 0);
  p = sqlite3ExprListAppend(pParse, p, pExpr);
  if( p ){
................................................................................
  Expr *pCopy = sqlite3ExprDup(db, pExpr, 0);
  if( db->mallocFailed==0 ){
    sqlite3ExprIfFalse(pParse, pCopy, dest, jumpIfNull);
  }
  sqlite3ExprDelete(db, pCopy);
}












































/*
** Do a deep comparison of two expression trees.  Return 0 if the two
** expressions are completely identical.  Return 1 if they differ only
** by a COLLATE operator at the top level.  Return 2 if there are differences
** other than the top-level COLLATE operator.
**
................................................................................
** identical, we return 2 just to be safe.  So if this routine
** returns 2, then you do not really know for certain if the two
** expressions are the same.  But if you get a 0 or 1 return, then you
** can be sure the expressions are the same.  In the places where
** this routine is used, it does not hurt to get an extra 2 - that
** just might result in some slightly slower code.  But returning
** an incorrect 0 or 1 could lead to a malfunction.






*/
int sqlite3ExprCompare(Expr *pA, Expr *pB, int iTab){
  u32 combinedFlags;
  if( pA==0 || pB==0 ){
    return pB==pA ? 0 : 2;



  }
  combinedFlags = pA->flags | pB->flags;
  if( combinedFlags & EP_IntValue ){
    if( (pA->flags&pB->flags&EP_IntValue)!=0 && pA->u.iValue==pB->u.iValue ){
      return 0;
    }
    return 2;
  }
  if( pA->op!=pB->op ){
    if( pA->op==TK_COLLATE && sqlite3ExprCompare(pA->pLeft, pB, iTab)<2 ){
      return 1;
    }
    if( pB->op==TK_COLLATE && sqlite3ExprCompare(pA, pB->pLeft, iTab)<2 ){
      return 1;
    }
    return 2;
  }
  if( pA->op!=TK_COLUMN && pA->op!=TK_AGG_COLUMN && pA->u.zToken ){
    if( pA->op==TK_FUNCTION ){
      if( sqlite3StrICmp(pA->u.zToken,pB->u.zToken)!=0 ) return 2;
................................................................................
    }else if( strcmp(pA->u.zToken,pB->u.zToken)!=0 ){
      return pA->op==TK_COLLATE ? 1 : 2;
    }
  }
  if( (pA->flags & EP_Distinct)!=(pB->flags & EP_Distinct) ) return 2;
  if( ALWAYS((combinedFlags & EP_TokenOnly)==0) ){
    if( combinedFlags & EP_xIsSelect ) return 2;
    if( sqlite3ExprCompare(pA->pLeft, pB->pLeft, iTab) ) return 2;
    if( sqlite3ExprCompare(pA->pRight, pB->pRight, iTab) ) return 2;
    if( sqlite3ExprListCompare(pA->x.pList, pB->x.pList, iTab) ) return 2;
    if( ALWAYS((combinedFlags & EP_Reduced)==0) && pA->op!=TK_STRING ){
      if( pA->iColumn!=pB->iColumn ) return 2;
      if( pA->iTable!=pB->iTable 
       && (pA->iTable!=iTab || NEVER(pB->iTable>=0)) ) return 2;
    }
  }
................................................................................
  if( pA==0 && pB==0 ) return 0;
  if( pA==0 || pB==0 ) return 1;
  if( pA->nExpr!=pB->nExpr ) return 1;
  for(i=0; i<pA->nExpr; i++){
    Expr *pExprA = pA->a[i].pExpr;
    Expr *pExprB = pB->a[i].pExpr;
    if( pA->a[i].sortOrder!=pB->a[i].sortOrder ) return 1;
    if( sqlite3ExprCompare(pExprA, pExprB, iTab) ) return 1;
  }
  return 0;
}

/*
** Like sqlite3ExprCompare() except COLLATE operators at the top-level
** are ignored.
*/
int sqlite3ExprCompareSkip(Expr *pA, Expr *pB, int iTab){
  return sqlite3ExprCompare(
             sqlite3ExprSkipCollate(pA),
             sqlite3ExprSkipCollate(pB),
             iTab);
}

/*
** Return true if we can prove the pE2 will always be true if pE1 is
................................................................................
** When comparing TK_COLUMN nodes between pE1 and pE2, if pE2 has
** Expr.iTable<0 then assume a table number given by iTab.
**
** When in doubt, return false.  Returning true might give a performance
** improvement.  Returning false might cause a performance reduction, but
** it will always give the correct answer and is hence always safe.
*/
int sqlite3ExprImpliesExpr(Expr *pE1, Expr *pE2, int iTab){
  if( sqlite3ExprCompare(pE1, pE2, iTab)==0 ){
    return 1;
  }
  if( pE2->op==TK_OR
   && (sqlite3ExprImpliesExpr(pE1, pE2->pLeft, iTab)
             || sqlite3ExprImpliesExpr(pE1, pE2->pRight, iTab) )
  ){
    return 1;
  }
  if( pE2->op==TK_NOTNULL && pE1->op!=TK_ISNULL && pE1->op!=TK_IS ){
    Expr *pX = sqlite3ExprSkipCollate(pE1->pLeft);
    testcase( pX!=pE1->pLeft );
    if( sqlite3ExprCompare(pX, pE2->pLeft, iTab)==0 ) return 1;
  }
  return 0;
}

/*
** An instance of the following structure is used by the tree walker
** to determine if an expression can be evaluated by reference to the
................................................................................
       && pWalker->walkerDepth==pExpr->op2
      ){
        /* Check to see if pExpr is a duplicate of another aggregate 
        ** function that is already in the pAggInfo structure
        */
        struct AggInfo_func *pItem = pAggInfo->aFunc;
        for(i=0; i<pAggInfo->nFunc; i++, pItem++){
          if( sqlite3ExprCompare(pItem->pExpr, pExpr, -1)==0 ){
            break;
          }
        }
        if( i>=pAggInfo->nFunc ){
          /* pExpr is original.  Make a new entry in pAggInfo->aFunc[]
          */
          u8 enc = ENC(pParse->db);

  ExprList *pGroupBy = pWalker->u.pGroupBy;
  int i;

  /* Check if pExpr is identical to any GROUP BY term. If so, consider
  ** it constant.  */
  for(i=0; i<pGroupBy->nExpr; i++){
    Expr *p = pGroupBy->a[i].pExpr;
    if( sqlite3ExprCompare(0, pExpr, p, -1)<2 ){
      CollSeq *pColl = sqlite3ExprCollSeq(pWalker->pParse, p);
      if( pColl==0 || sqlite3_stricmp("BINARY", pColl->zName)==0 ){
        return WRC_Prune;
      }
    }
  }

................................................................................
  ExprList *p;
  assert( ConstFactorOk(pParse) );
  p = pParse->pConstExpr;
  if( regDest<0 && p ){
    struct ExprList_item *pItem;
    int i;
    for(pItem=p->a, i=p->nExpr; i>0; pItem++, i--){
      if( pItem->reusable && sqlite3ExprCompare(0,pItem->pExpr,pExpr,-1)==0 ){
        return pItem->u.iConstExprReg;
      }
    }
  }
  pExpr = sqlite3ExprDup(pParse->db, pExpr, 0);
  p = sqlite3ExprListAppend(pParse, p, pExpr);
  if( p ){
................................................................................
  Expr *pCopy = sqlite3ExprDup(db, pExpr, 0);
  if( db->mallocFailed==0 ){
    sqlite3ExprIfFalse(pParse, pCopy, dest, jumpIfNull);
  }
  sqlite3ExprDelete(db, pCopy);
}

/*
** Expression pVar is guaranteed to be an SQL variable. pExpr may be any
** type of expression.
**
** If pExpr is a simple SQL value - an integer, real, string, blob
** or NULL value - then the VDBE currently being prepared is configured
** to re-prepare each time a new value is bound to variable pVar.
**
** Additionally, if pExpr is a simple SQL value and the value is the
** same as that currently bound to variable pVar, non-zero is returned.
** Otherwise, if the values are not the same or if pExpr is not a simple
** SQL value, zero is returned.
*/
static int exprCompareVariable(Parse *pParse, Expr *pVar, Expr *pExpr){
  int res = 0;
  int iVar = pVar->iColumn;
  Expr *p = pExpr;

  while( p->op==TK_UMINUS ) p = p->pLeft;
  if( p->op==TK_NULL  || p->op==TK_INTEGER 
   || p->op==TK_FLOAT || p->op==TK_STRING 
   || p->op==TK_BLOB 
  ){
    sqlite3VdbeSetVarmask(pParse->pVdbe, iVar);
    sqlite3_value *pL;
    pL = sqlite3VdbeGetBoundValue(pParse->pReprepare, iVar, SQLITE_AFF_BLOB);
    if( pL ){
      sqlite3_value *pR = 0;
      sqlite3ValueFromExpr(pParse->db, pExpr, SQLITE_UTF8, SQLITE_AFF_BLOB,&pR);
      assert( pR || pParse->db->mallocFailed );
      if( pR && 0==sqlite3MemCompare(pL, pR, 0) ){
        res = 1;
      }
      sqlite3ValueFree(pR);
      sqlite3ValueFree(pL);
    }else if( p->op==TK_NULL ){
      res = 1;
    }
  }

  return res;
}

/*
** Do a deep comparison of two expression trees.  Return 0 if the two
** expressions are completely identical.  Return 1 if they differ only
** by a COLLATE operator at the top level.  Return 2 if there are differences
** other than the top-level COLLATE operator.
**
................................................................................
** identical, we return 2 just to be safe.  So if this routine
** returns 2, then you do not really know for certain if the two
** expressions are the same.  But if you get a 0 or 1 return, then you
** can be sure the expressions are the same.  In the places where
** this routine is used, it does not hurt to get an extra 2 - that
** just might result in some slightly slower code.  But returning
** an incorrect 0 or 1 could lead to a malfunction.
**
** Argument pParse should normally be NULL. If it is not NULL and 
** expression pA contains SQL variable references, then the values
** currently bound to those variable references may be compared to
** simple SQL values in pB. See comments above function exprCompareVariable()
** for details.
*/
int sqlite3ExprCompare(Parse *pParse, Expr *pA, Expr *pB, int iTab){
  u32 combinedFlags;
  if( pA==0 || pB==0 ){
    return pB==pA ? 0 : 2;
  }
  if( pParse && pA->op==TK_VARIABLE && exprCompareVariable(pParse, pA, pB) ){
    return 0;
  }
  combinedFlags = pA->flags | pB->flags;
  if( combinedFlags & EP_IntValue ){
    if( (pA->flags&pB->flags&EP_IntValue)!=0 && pA->u.iValue==pB->u.iValue ){
      return 0;
    }
    return 2;
  }
  if( pA->op!=pB->op ){
    if( pA->op==TK_COLLATE && sqlite3ExprCompare(pParse, pA->pLeft,pB,iTab)<2 ){
      return 1;
    }
    if( pB->op==TK_COLLATE && sqlite3ExprCompare(pParse, pA,pB->pLeft,iTab)<2 ){
      return 1;
    }
    return 2;
  }
  if( pA->op!=TK_COLUMN && pA->op!=TK_AGG_COLUMN && pA->u.zToken ){
    if( pA->op==TK_FUNCTION ){
      if( sqlite3StrICmp(pA->u.zToken,pB->u.zToken)!=0 ) return 2;
................................................................................
    }else if( strcmp(pA->u.zToken,pB->u.zToken)!=0 ){
      return pA->op==TK_COLLATE ? 1 : 2;
    }
  }
  if( (pA->flags & EP_Distinct)!=(pB->flags & EP_Distinct) ) return 2;
  if( ALWAYS((combinedFlags & EP_TokenOnly)==0) ){
    if( combinedFlags & EP_xIsSelect ) return 2;
    if( sqlite3ExprCompare(pParse, pA->pLeft, pB->pLeft, iTab) ) return 2;
    if( sqlite3ExprCompare(pParse, pA->pRight, pB->pRight, iTab) ) return 2;
    if( sqlite3ExprListCompare(pA->x.pList, pB->x.pList, iTab) ) return 2;
    if( ALWAYS((combinedFlags & EP_Reduced)==0) && pA->op!=TK_STRING ){
      if( pA->iColumn!=pB->iColumn ) return 2;
      if( pA->iTable!=pB->iTable 
       && (pA->iTable!=iTab || NEVER(pB->iTable>=0)) ) return 2;
    }
  }
................................................................................
  if( pA==0 && pB==0 ) return 0;
  if( pA==0 || pB==0 ) return 1;
  if( pA->nExpr!=pB->nExpr ) return 1;
  for(i=0; i<pA->nExpr; i++){
    Expr *pExprA = pA->a[i].pExpr;
    Expr *pExprB = pB->a[i].pExpr;
    if( pA->a[i].sortOrder!=pB->a[i].sortOrder ) return 1;
    if( sqlite3ExprCompare(0, pExprA, pExprB, iTab) ) return 1;
  }
  return 0;
}

/*
** Like sqlite3ExprCompare() except COLLATE operators at the top-level
** are ignored.
*/
int sqlite3ExprCompareSkip(Expr *pA, Expr *pB, int iTab){
  return sqlite3ExprCompare(0,
             sqlite3ExprSkipCollate(pA),
             sqlite3ExprSkipCollate(pB),
             iTab);
}

/*
** Return true if we can prove the pE2 will always be true if pE1 is
................................................................................
** When comparing TK_COLUMN nodes between pE1 and pE2, if pE2 has
** Expr.iTable<0 then assume a table number given by iTab.
**
** When in doubt, return false.  Returning true might give a performance
** improvement.  Returning false might cause a performance reduction, but
** it will always give the correct answer and is hence always safe.
*/
int sqlite3ExprImpliesExpr(Parse *pParse, Expr *pE1, Expr *pE2, int iTab){
  if( sqlite3ExprCompare(pParse, pE1, pE2, iTab)==0 ){
    return 1;
  }
  if( pE2->op==TK_OR
   && (sqlite3ExprImpliesExpr(pParse, pE1, pE2->pLeft, iTab)
             || sqlite3ExprImpliesExpr(pParse, pE1, pE2->pRight, iTab) )
  ){
    return 1;
  }
  if( pE2->op==TK_NOTNULL && pE1->op!=TK_ISNULL && pE1->op!=TK_IS ){
    Expr *pX = sqlite3ExprSkipCollate(pE1->pLeft);
    testcase( pX!=pE1->pLeft );
    if( sqlite3ExprCompare(pParse, pX, pE2->pLeft, iTab)==0 ) return 1;
  }
  return 0;
}

/*
** An instance of the following structure is used by the tree walker
** to determine if an expression can be evaluated by reference to the
................................................................................
       && pWalker->walkerDepth==pExpr->op2
      ){
        /* Check to see if pExpr is a duplicate of another aggregate 
        ** function that is already in the pAggInfo structure
        */
        struct AggInfo_func *pItem = pAggInfo->aFunc;
        for(i=0; i<pAggInfo->nFunc; i++, pItem++){
          if( sqlite3ExprCompare(0, pItem->pExpr, pExpr, -1)==0 ){
            break;
          }
        }
        if( i>=pAggInfo->nFunc ){
          /* pExpr is original.  Make a new entry in pAggInfo->aFunc[]
          */
          u8 enc = ENC(pParse->db);

  }
  for(i=0; i<pSrc->nKeyCol; i++){
    if( pSrc->aiColumn[i]!=pDest->aiColumn[i] ){
      return 0;   /* Different columns indexed */
    }
    if( pSrc->aiColumn[i]==XN_EXPR ){
      assert( pSrc->aColExpr!=0 && pDest->aColExpr!=0 );
      if( sqlite3ExprCompare(pSrc->aColExpr->a[i].pExpr,
                             pDest->aColExpr->a[i].pExpr, -1)!=0 ){
        return 0;   /* Different expressions in the index */
      }
    }
    if( pSrc->aSortOrder[i]!=pDest->aSortOrder[i] ){
      return 0;   /* Different sort orders */
    }
    if( sqlite3_stricmp(pSrc->azColl[i],pDest->azColl[i])!=0 ){
      return 0;   /* Different collating sequences */
    }
  }
  if( sqlite3ExprCompare(pSrc->pPartIdxWhere, pDest->pPartIdxWhere, -1) ){
    return 0;     /* Different WHERE clauses */
  }

  /* If no test above fails then the indices must be compatible */
  return 1;
}

  }
  for(i=0; i<pSrc->nKeyCol; i++){
    if( pSrc->aiColumn[i]!=pDest->aiColumn[i] ){
      return 0;   /* Different columns indexed */
    }
    if( pSrc->aiColumn[i]==XN_EXPR ){
      assert( pSrc->aColExpr!=0 && pDest->aColExpr!=0 );
      if( sqlite3ExprCompare(0, pSrc->aColExpr->a[i].pExpr,
                             pDest->aColExpr->a[i].pExpr, -1)!=0 ){
        return 0;   /* Different expressions in the index */
      }
    }
    if( pSrc->aSortOrder[i]!=pDest->aSortOrder[i] ){
      return 0;   /* Different sort orders */
    }
    if( sqlite3_stricmp(pSrc->azColl[i],pDest->azColl[i])!=0 ){
      return 0;   /* Different collating sequences */
    }
  }
  if( sqlite3ExprCompare(0, pSrc->pPartIdxWhere, pDest->pPartIdxWhere, -1) ){
    return 0;     /* Different WHERE clauses */
  }

  /* If no test above fails then the indices must be compatible */
  return 1;
}

  if( rc ) return 0;

  /* Try to match the ORDER BY expression against an expression
  ** in the result set.  Return an 1-based index of the matching
  ** result-set entry.
  */
  for(i=0; i<pEList->nExpr; i++){
    if( sqlite3ExprCompare(pEList->a[i].pExpr, pE, -1)<2 ){
      return i+1;
    }
  }

  /* If no match, return 0. */
  return 0;
}
................................................................................

    /* Otherwise, treat the ORDER BY term as an ordinary expression */
    pItem->u.x.iOrderByCol = 0;
    if( sqlite3ResolveExprNames(pNC, pE) ){
      return 1;
    }
    for(j=0; j<pSelect->pEList->nExpr; j++){
      if( sqlite3ExprCompare(pE, pSelect->pEList->a[j].pExpr, -1)==0 ){
        pItem->u.x.iOrderByCol = j+1;
      }
    }
  }
  return sqlite3ResolveOrderGroupBy(pParse, pSelect, pOrderBy, zType);
}

  if( rc ) return 0;

  /* Try to match the ORDER BY expression against an expression
  ** in the result set.  Return an 1-based index of the matching
  ** result-set entry.
  */
  for(i=0; i<pEList->nExpr; i++){
    if( sqlite3ExprCompare(0, pEList->a[i].pExpr, pE, -1)<2 ){
      return i+1;
    }
  }

  /* If no match, return 0. */
  return 0;
}
................................................................................

    /* Otherwise, treat the ORDER BY term as an ordinary expression */
    pItem->u.x.iOrderByCol = 0;
    if( sqlite3ResolveExprNames(pNC, pE) ){
      return 1;
    }
    for(j=0; j<pSelect->pEList->nExpr; j++){
      if( sqlite3ExprCompare(0, pE, pSelect->pEList->a[j].pExpr, -1)==0 ){
        pItem->u.x.iOrderByCol = j+1;
      }
    }
  }
  return sqlite3ResolveOrderGroupBy(pParse, pSelect, pOrderBy, zType);
}

  struct SrcList_item *pItem;
  for(pItem = pTabList->a; pItem<pThis; pItem++){
    if( pItem->pSelect==0 ) continue;
    if( pItem->fg.viaCoroutine ) continue;
    if( pItem->zName==0 ) continue;
    if( sqlite3_stricmp(pItem->zDatabase, pThis->zDatabase)!=0 ) continue;
    if( sqlite3_stricmp(pItem->zName, pThis->zName)!=0 ) continue;

    if( sqlite3ExprCompare(pThis->pSelect->pWhere, pItem->pSelect->pWhere, -1) ){

      /* The view was modified by some other optimization such as
      ** pushDownWhereTerms() */
      continue;
    }
    return pItem;
  }
  return 0;

  struct SrcList_item *pItem;
  for(pItem = pTabList->a; pItem<pThis; pItem++){
    if( pItem->pSelect==0 ) continue;
    if( pItem->fg.viaCoroutine ) continue;
    if( pItem->zName==0 ) continue;
    if( sqlite3_stricmp(pItem->zDatabase, pThis->zDatabase)!=0 ) continue;
    if( sqlite3_stricmp(pItem->zName, pThis->zName)!=0 ) continue;
    if( sqlite3ExprCompare(0, 
          pThis->pSelect->pWhere, pItem->pSelect->pWhere, -1) 
    ){
      /* The view was modified by some other optimization such as
      ** pushDownWhereTerms() */
      continue;
    }
    return pItem;
  }
  return 0;

Table *sqlite3LocateTableItem(Parse*,u32 flags,struct SrcList_item *);
Index *sqlite3FindIndex(sqlite3*,const char*, const char*);
void sqlite3UnlinkAndDeleteTable(sqlite3*,int,const char*);
void sqlite3UnlinkAndDeleteIndex(sqlite3*,int,const char*);
void sqlite3Vacuum(Parse*,Token*);
int sqlite3RunVacuum(char**, sqlite3*, int);
char *sqlite3NameFromToken(sqlite3*, Token*);
int sqlite3ExprCompare(Expr*, Expr*, int);
int sqlite3ExprCompareSkip(Expr*, Expr*, int);
int sqlite3ExprListCompare(ExprList*, ExprList*, int);
int sqlite3ExprImpliesExpr(Expr*, Expr*, int);
void sqlite3ExprAnalyzeAggregates(NameContext*, Expr*);
void sqlite3ExprAnalyzeAggList(NameContext*,ExprList*);
int sqlite3ExprCoveredByIndex(Expr*, int iCur, Index *pIdx);
int sqlite3FunctionUsesThisSrc(Expr*, SrcList*);
Vdbe *sqlite3GetVdbe(Parse*);
#ifndef SQLITE_UNTESTABLE
void sqlite3PrngSaveState(void);

Table *sqlite3LocateTableItem(Parse*,u32 flags,struct SrcList_item *);
Index *sqlite3FindIndex(sqlite3*,const char*, const char*);
void sqlite3UnlinkAndDeleteTable(sqlite3*,int,const char*);
void sqlite3UnlinkAndDeleteIndex(sqlite3*,int,const char*);
void sqlite3Vacuum(Parse*,Token*);
int sqlite3RunVacuum(char**, sqlite3*, int);
char *sqlite3NameFromToken(sqlite3*, Token*);
int sqlite3ExprCompare(Parse*,Expr*, Expr*, int);
int sqlite3ExprCompareSkip(Expr*, Expr*, int);
int sqlite3ExprListCompare(ExprList*, ExprList*, int);
int sqlite3ExprImpliesExpr(Parse*,Expr*, Expr*, int);
void sqlite3ExprAnalyzeAggregates(NameContext*, Expr*);
void sqlite3ExprAnalyzeAggList(NameContext*,ExprList*);
int sqlite3ExprCoveredByIndex(Expr*, int iCur, Index *pIdx);
int sqlite3FunctionUsesThisSrc(Expr*, SrcList*);
Vdbe *sqlite3GetVdbe(Parse*);
#ifndef SQLITE_UNTESTABLE
void sqlite3PrngSaveState(void);

      if( pExpr->iColumn<0 ) return 1;
      for(jj=0; jj<pIndex->nKeyCol; jj++){
        if( pExpr->iColumn==pIndex->aiColumn[jj] ) return 1;
      }
    }else if( (aColExpr = pIndex->aColExpr)!=0 ){
      for(jj=0; jj<pIndex->nKeyCol; jj++){
        if( pIndex->aiColumn[jj]!=XN_EXPR ) continue;
        if( sqlite3ExprCompare(pExpr,aColExpr->a[jj].pExpr,iCursor)==0 ){
          return 1;
        }
      }
    }
  }
  return 0;
}
................................................................................
  WhereTerm *pTerm;
  while( pWhere->op==TK_AND ){
    if( !whereUsablePartialIndex(iTab,pWC,pWhere->pLeft) ) return 0;
    pWhere = pWhere->pRight;
  }
  for(i=0, pTerm=pWC->a; i<pWC->nTerm; i++, pTerm++){
    Expr *pExpr = pTerm->pExpr;
    if( sqlite3ExprImpliesExpr(pExpr, pWhere, iTab) 
     && (!ExprHasProperty(pExpr, EP_FromJoin) || pExpr->iRightJoinTable==iTab)
    ){
      return 1;
    }
  }
  return 0;
}
................................................................................
          testcase( wctrlFlags & WHERE_DISTINCTBY );
          if( (wctrlFlags & (WHERE_GROUPBY|WHERE_DISTINCTBY))==0 ) bOnce = 0;
          if( iColumn>=(-1) ){
            if( pOBExpr->op!=TK_COLUMN ) continue;
            if( pOBExpr->iTable!=iCur ) continue;
            if( pOBExpr->iColumn!=iColumn ) continue;
          }else{

            if( sqlite3ExprCompare(pOBExpr,pIndex->aColExpr->a[j].pExpr,iCur) ){
              continue;
            }
          }
          if( iColumn>=0 ){
            pColl = sqlite3ExprCollSeq(pWInfo->pParse, pOrderBy->a[i].pExpr);
            if( !pColl ) pColl = db->pDfltColl;
            if( sqlite3StrICmp(pColl->zName, pIndex->azColl[j])!=0 ) continue;

      if( pExpr->iColumn<0 ) return 1;
      for(jj=0; jj<pIndex->nKeyCol; jj++){
        if( pExpr->iColumn==pIndex->aiColumn[jj] ) return 1;
      }
    }else if( (aColExpr = pIndex->aColExpr)!=0 ){
      for(jj=0; jj<pIndex->nKeyCol; jj++){
        if( pIndex->aiColumn[jj]!=XN_EXPR ) continue;
        if( sqlite3ExprCompare(0, pExpr,aColExpr->a[jj].pExpr,iCursor)==0 ){
          return 1;
        }
      }
    }
  }
  return 0;
}
................................................................................
  WhereTerm *pTerm;
  while( pWhere->op==TK_AND ){
    if( !whereUsablePartialIndex(iTab,pWC,pWhere->pLeft) ) return 0;
    pWhere = pWhere->pRight;
  }
  for(i=0, pTerm=pWC->a; i<pWC->nTerm; i++, pTerm++){
    Expr *pExpr = pTerm->pExpr;
    if( sqlite3ExprImpliesExpr(pWC->pWInfo->pParse, pExpr, pWhere, iTab) 
     && (!ExprHasProperty(pExpr, EP_FromJoin) || pExpr->iRightJoinTable==iTab)
    ){
      return 1;
    }
  }
  return 0;
}
................................................................................
          testcase( wctrlFlags & WHERE_DISTINCTBY );
          if( (wctrlFlags & (WHERE_GROUPBY|WHERE_DISTINCTBY))==0 ) bOnce = 0;
          if( iColumn>=(-1) ){
            if( pOBExpr->op!=TK_COLUMN ) continue;
            if( pOBExpr->iTable!=iCur ) continue;
            if( pOBExpr->iColumn!=iColumn ) continue;
          }else{
            if( sqlite3ExprCompare(0,
                  pOBExpr,pIndex->aColExpr->a[j].pExpr,iCur) ){
              continue;
            }
          }
          if( iColumn>=0 ){
            pColl = sqlite3ExprCollSeq(pWInfo->pParse, pOrderBy->a[i].pExpr);
            if( !pColl ) pColl = db->pDfltColl;
            if( sqlite3StrICmp(pColl->zName, pIndex->azColl[j])!=0 ) continue;

** a reference to an index column for an index on an expression.
**
** If pExpr matches, then transform it into a reference to the index column
** that contains the value of pExpr.
*/
static int whereIndexExprTransNode(Walker *p, Expr *pExpr){
  IdxExprTrans *pX = p->u.pIdxTrans;
  if( sqlite3ExprCompare(pExpr, pX->pIdxExpr, pX->iTabCur)==0 ){
    pExpr->op = TK_COLUMN;
    pExpr->iTable = pX->iIdxCur;
    pExpr->iColumn = pX->iIdxCol;
    pExpr->pTab = 0;
    return WRC_Prune;
  }else{
    return WRC_Continue;

** a reference to an index column for an index on an expression.
**
** If pExpr matches, then transform it into a reference to the index column
** that contains the value of pExpr.
*/
static int whereIndexExprTransNode(Walker *p, Expr *pExpr){
  IdxExprTrans *pX = p->u.pIdxTrans;
  if( sqlite3ExprCompare(0, pExpr, pX->pIdxExpr, pX->iTabCur)==0 ){
    pExpr->op = TK_COLUMN;
    pExpr->iTable = pX->iIdxCur;
    pExpr->iColumn = pX->iIdxCol;
    pExpr->pTab = 0;
    return WRC_Prune;
  }else{
    return WRC_Continue;

  if( (pOne->eOperator & (WO_EQ|WO_LT|WO_LE|WO_GT|WO_GE))==0 ) return;
  if( (pTwo->eOperator & (WO_EQ|WO_LT|WO_LE|WO_GT|WO_GE))==0 ) return;
  if( (eOp & (WO_EQ|WO_LT|WO_LE))!=eOp
   && (eOp & (WO_EQ|WO_GT|WO_GE))!=eOp ) return;
  assert( pOne->pExpr->pLeft!=0 && pOne->pExpr->pRight!=0 );
  assert( pTwo->pExpr->pLeft!=0 && pTwo->pExpr->pRight!=0 );
  if( sqlite3ExprCompare(pOne->pExpr->pLeft, pTwo->pExpr->pLeft, -1) ) return;
  if( sqlite3ExprCompare(pOne->pExpr->pRight, pTwo->pExpr->pRight, -1) )return;
  /* If we reach this point, it means the two subterms can be combined */
  if( (eOp & (eOp-1))!=0 ){
    if( eOp & (WO_LT|WO_LE) ){
      eOp = WO_LE;
    }else{
      assert( eOp & (WO_GT|WO_GE) );
      eOp = WO_GE;

  if( (pOne->eOperator & (WO_EQ|WO_LT|WO_LE|WO_GT|WO_GE))==0 ) return;
  if( (pTwo->eOperator & (WO_EQ|WO_LT|WO_LE|WO_GT|WO_GE))==0 ) return;
  if( (eOp & (WO_EQ|WO_LT|WO_LE))!=eOp
   && (eOp & (WO_EQ|WO_GT|WO_GE))!=eOp ) return;
  assert( pOne->pExpr->pLeft!=0 && pOne->pExpr->pRight!=0 );
  assert( pTwo->pExpr->pLeft!=0 && pTwo->pExpr->pRight!=0 );
  if( sqlite3ExprCompare(0,pOne->pExpr->pLeft, pTwo->pExpr->pLeft, -1) ) return;
  if( sqlite3ExprCompare(0,pOne->pExpr->pRight, pTwo->pExpr->pRight,-1) )return;
  /* If we reach this point, it means the two subterms can be combined */
  if( (eOp & (eOp-1))!=0 ){
    if( eOp & (WO_LT|WO_LE) ){
      eOp = WO_LE;
    }else{
      assert( eOp & (WO_GT|WO_GE) );
      eOp = WO_GE;

# 2017 Jun 24
#
# The author disclaims copyright to this source code.  In place of
# a legal notice, here is a blessing:
#
#    May you do good and not evil.
#    May you find forgiveness for yourself and forgive others.
#    May you share freely, never taking more than you give.
#
#***********************************************************************
#
# Test that partial indexes work with bound variables.
#

set testdir [file dirname $argv0]
source $testdir/tester.tcl
set testprefix index9

proc sqluses {sql} {
  array unset ::T
  uplevel [list db eval "EXPLAIN $sql" a {
    if {$a(opcode)=="OpenRead"} { set ::T($a(p2)) 1 }
  }]

  set in [join [array names ::T] ,]
  db eval "SELECT name FROM sqlite_master WHERE rootpage IN ($in) ORDER BY 1"
}

proc do_sqluses_test {tn sql objects} {
  uplevel [list do_test $tn [list sqluses $sql] $objects]
}

do_execsql_test 1.0 {
  CREATE TABLE t1(x, y);
  CREATE INDEX t1x ON t1(x) WHERE y=45;
}
set y [expr 45]
do_sqluses_test 1.1 { SELECT * FROM t1 WHERE x=? AND y=$y } {t1 t1x}
set y [expr 45.1]
do_sqluses_test 1.2 { SELECT * FROM t1 WHERE x=? AND y=$y } {t1}
set y [expr 44]
do_sqluses_test 1.3 { SELECT * FROM t1 WHERE x=? AND y=$y } {t1}
unset -nocomplain y
do_sqluses_test 1.4 { SELECT * FROM t1 WHERE x=? AND y=$y } {t1}
set y [string range "45" 0 end]
do_sqluses_test 1.5 { SELECT * FROM t1 WHERE x=? AND y=$y } {t1}

do_execsql_test 2.0 {
  CREATE INDEX t1x2 ON t1(x) WHERE y=-20111000111
}
do_sqluses_test 2.1 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}
set y [expr -20111000111]
do_sqluses_test 2.2 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1 t1x2}
set y [expr -20111000110]
do_sqluses_test 2.3 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}
set y [expr -20111000112]
do_sqluses_test 2.4 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}

do_execsql_test 3.0 {
  CREATE INDEX t1x3 ON t1(x) WHERE y=9223372036854775807
}
set y [expr 9223372036854775807]
do_sqluses_test 3.1 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1 t1x3}
set y [expr 9223372036854775808]
do_sqluses_test 3.2 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}
set y [expr 9223372036854775806]
do_sqluses_test 3.3 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}

do_execsql_test 3.0 {
  CREATE INDEX t1x4 ON t1(x) WHERE y=-9223372036854775808
}
set y [expr -9223372036854775808]
do_sqluses_test 3.1 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1 t1x4}
set y [expr -9223372036854775807]
do_sqluses_test 3.2 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}
set y [expr -9223372036854775809]
do_sqluses_test 3.3 { SELECT * FROM t1 WHERE y=$y ORDER BY x } {t1}
set y [expr -9223372036854775808]
do_sqluses_test 3.4 { SELECT * FROM t1 WHERE $y=y ORDER BY x } {t1 t1x4}

finish_test