return addr;
}

/*
** Return true if expression pExpr is a vector, or false otherwise.
*/
int sqlite3ExprIsVector(Expr *pExpr){
  return ( (pExpr->op==TK_VECTOR)
        || (pExpr->op==TK_SELECT && pExpr->x.pSelect->pEList->nExpr>1)
  );
}

/*
** If the expression passed as the only argument is of type TK_VECTOR 
** return the number of expressions in the vector. Or, if the expression
** is a sub-select, return the number of columns in the sub-select. For
** any other type of expression, return 1.
*/
int sqlite3ExprVectorSize(Expr *pExpr){
  if( sqlite3ExprIsVector(pExpr)==0 ) return 1;
  if( pExpr->flags & EP_xIsSelect ){

    return pExpr->x.pSelect->pEList->nExpr;


  }
  return pExpr->x.pList->nExpr;
}

#ifndef SQLITE_OMIT_SUBQUERY
/*
** Interpret the pVector input as a vector expression.  If pVector is
** an ordinary scalar expression, treat it as a vector of size 1.
**
** Return a pointer to a subexpression of pVector that is the i-th
** column of the vector (numbered starting with 0).  The caller must
** ensure that i is within range.
**



** pVector retains ownership of the returned subexpression.
**
** If the vector is a (SELECT ...) then the expression returned is
** just the expression for the i-th term of the result set, and is
** necessarily ready to be evaluated because the table cursor might
** not have been positioned yet.
*/
Expr *sqlite3VectorFieldSubexpr(Expr *pVector, int i){
  assert( i<sqlite3ExprVectorSize(pVector) );
  if( sqlite3ExprIsVector(pVector) ){
    if( pVector->op==TK_SELECT ){
      return pVector->x.pSelect->pEList->a[i].pExpr;
    }else{
................................................................................
** It is ok for pVector to be a scalar (as long as iField==0).  
** In that case, this routine works like sqlite3ExprDup().
**
** The caller owns the returned Expr object and is responsible for
** ensuring that the returned value eventually gets freed.
**
** The caller retains ownership of pVector.  If pVector is a TK_SELECT,
** then the return value will reference pVector and so pVector must remain
** valid for the life of the returned object.  If pVector is a TK_VECTOR
** or a scalar expression, then it can be deleted as soon as this routine
** routines.
**
** A trick to cause a TK_SELECT pVector to be deleted together with
** the returned Expr object is to attach the pVector to the pRight field
** of the returned TK_SELECT_COLUMN Expr object.
*/
Expr *sqlite3ExprForVectorField(
  Parse *pParse,       /* Parsing context */

  return addr;
}

/*
** Return true if expression pExpr is a vector, or false otherwise.
*/
int sqlite3ExprIsVector(Expr *pExpr){
  return sqlite3ExprVectorSize(pExpr)>1;


}

/*
** If the expression passed as the only argument is of type TK_VECTOR 
** return the number of expressions in the vector. Or, if the expression
** is a sub-select, return the number of columns in the sub-select. For
** any other type of expression, return 1.
*/
int sqlite3ExprVectorSize(Expr *pExpr){
  if( pExpr->op==TK_VECTOR ){
    return pExpr->x.pList->nExpr;
  }else if( pExpr->op==TK_SELECT ){
    return pExpr->x.pSelect->pEList->nExpr;
  }else{
    return 1;
  }

}

#ifndef SQLITE_OMIT_SUBQUERY
/*



** Return a pointer to a subexpression of pVector that is the i-th
** column of the vector (numbered starting with 0).  The caller must
** ensure that i is within range.
**
** If pVector is really a scalar (and "scalar" here includes subqueries
** that return a single column!) then return pVector unmodified.
**
** pVector retains ownership of the returned subexpression.
**
** If the vector is a (SELECT ...) then the expression returned is
** just the expression for the i-th term of the result set, and may
** not be ready for evaluation because the table cursor has not yet
** been positioned.
*/
Expr *sqlite3VectorFieldSubexpr(Expr *pVector, int i){
  assert( i<sqlite3ExprVectorSize(pVector) );
  if( sqlite3ExprIsVector(pVector) ){
    if( pVector->op==TK_SELECT ){
      return pVector->x.pSelect->pEList->a[i].pExpr;
    }else{
................................................................................
** It is ok for pVector to be a scalar (as long as iField==0).  
** In that case, this routine works like sqlite3ExprDup().
**
** The caller owns the returned Expr object and is responsible for
** ensuring that the returned value eventually gets freed.
**
** The caller retains ownership of pVector.  If pVector is a TK_SELECT,
** then the returne object will reference pVector and so pVector must remain
** valid for the life of the returned object.  If pVector is a TK_VECTOR
** or a scalar expression, then it can be deleted as soon as this routine
** returns.
**
** A trick to cause a TK_SELECT pVector to be deleted together with
** the returned Expr object is to attach the pVector to the pRight field
** of the returned TK_SELECT_COLUMN Expr object.
*/
Expr *sqlite3ExprForVectorField(
  Parse *pParse,       /* Parsing context */