**    May you find forgiveness for yourself and forgive others.
**    May you share freely, never taking more than you give.
**
*************************************************************************
** This file contains C code routines that are called by the parser
** to handle SELECT statements in SQLite.
**
** $Id: select.c,v 1.431 2008/06/20 15:24:02 drh Exp $
*/
#include "sqliteInt.h"


/*
** Delete all the content of a Select structure but do not deallocate
** the select structure itself.
................................................................................
  }
  return pRet;
}
#endif /* SQLITE_OMIT_COMPOUND_SELECT */

#ifndef SQLITE_OMIT_COMPOUND_SELECT
/*
** This routine is called to process a query that is really the union
** or intersection of two or more separate queries.

**
** "p" points to the right-most of the two queries.  the query on the
** left is p->pPrior.  The left query could also be a compound query
** in which case this routine will be called recursively. 
**
** The results of the total query are to be written into a destination
** of type eDest with parameter iParm.
................................................................................
    int iAbortFlag;     /* Mem address which causes query abort if positive */
    int groupBySort;    /* Rows come from source in GROUP BY order */


    /* The following variables hold addresses or labels for parts of the
    ** virtual machine program we are putting together */
    int addrOutputRow;      /* Start of subroutine that outputs a result row */
    int regOutputRow;       /* Return address register for outputrow subroutine */
    int addrSetAbort;       /* Set the abort flag and return */
    int addrInitializeLoop; /* Start of code that initializes the input loop */
    int addrTopOfLoop;      /* Top of the input loop */
    int addrGroupByChange;  /* Code that runs when any GROUP BY term changes */
    int addrProcessRow;     /* Code to process a single input row */
    int addrEnd;            /* End of all processing */
    int addrSortingIdx;     /* The OP_OpenEphemeral for the sorting index */
    int addrReset;          /* Subroutine for resetting the accumulator */
    int regReset;           /* Return address register for reset subroutine */

    addrEnd = sqlite3VdbeMakeLabel(v);

................................................................................
    if( db->mallocFailed ) goto select_end;

    /* Processing for aggregates with GROUP BY is very different and
    ** much more complex than aggregates without a GROUP BY.
    */
    if( pGroupBy ){
      KeyInfo *pKeyInfo;  /* Keying information for the group by clause */


      /* Create labels that we will be needing
      */
     
      addrInitializeLoop = sqlite3VdbeMakeLabel(v);
      addrGroupByChange = sqlite3VdbeMakeLabel(v);
      addrProcessRow = sqlite3VdbeMakeLabel(v);

      /* If there is a GROUP BY clause we might need a sorting index to
      ** implement it.  Allocate that sorting index now.  If it turns out
      ** that we do not need it after all, the OpenEphemeral instruction
      ** will be converted into a Noop.  
      */
      sAggInfo.sortingIdx = pParse->nTab++;
................................................................................
        if( groupBySort ){
          sqlite3VdbeAddOp3(v, OP_Column, sAggInfo.sortingIdx, j, iBMem+j);
        }else{
          sAggInfo.directMode = 1;
          sqlite3ExprCode(pParse, pGroupBy->a[j].pExpr, iBMem+j);
        }
      }
      for(j=pGroupBy->nExpr-1; j>=0; j--){
        if( j==0 ){
          sqlite3VdbeAddOp3(v, OP_Eq, iAMem+j, addrProcessRow, iBMem+j);
        }else{
          sqlite3VdbeAddOp3(v, OP_Ne, iAMem+j, addrGroupByChange, iBMem+j);
        }
        sqlite3VdbeChangeP4(v, -1, (void*)pKeyInfo->aColl[j], P4_COLLSEQ);
        sqlite3VdbeChangeP5(v, SQLITE_NULLEQUAL);
      }

      /* Generate code that runs whenever the GROUP BY changes.
      ** Changes in the GROUP BY are detected by the previous code
      ** block.  If there were no changes, this block is skipped.
      **
      ** This code copies current group by terms in b0,b1,b2,...
      ** over to a0,a1,a2.  It then calls the output subroutine
      ** and resets the aggregate accumulator registers in preparation
      ** for the next GROUP BY batch.
      */
      sqlite3VdbeResolveLabel(v, addrGroupByChange);
      for(j=0; j<pGroupBy->nExpr; j++){
        sqlite3ExprCodeMove(pParse, iBMem+j, iAMem+j);
      }
      sqlite3VdbeAddOp2(v, OP_Gosub, regOutputRow, addrOutputRow);
      VdbeComment((v, "output one row"));
      sqlite3VdbeAddOp2(v, OP_IfPos, iAbortFlag, addrEnd);
      VdbeComment((v, "check abort flag"));
      sqlite3VdbeAddOp2(v, OP_Gosub, regReset, addrReset);
      VdbeComment((v, "reset accumulator"));

      /* Update the aggregate accumulators based on the content of
      ** the current row
      */
      sqlite3VdbeResolveLabel(v, addrProcessRow);
      updateAccumulator(pParse, &sAggInfo);
      sqlite3VdbeAddOp2(v, OP_Integer, 1, iUseFlag);
      VdbeComment((v, "indicate data in accumulator"));

      /* End of the loop
      */
      if( groupBySort ){
................................................................................
      if( pWInfo==0 ){
        sqlite3ExprListDelete(pDel);
        goto select_end;
      }
      updateAccumulator(pParse, &sAggInfo);
      if( !pMinMax && flag ){
        sqlite3VdbeAddOp2(v, OP_Goto, 0, pWInfo->iBreak);
        VdbeComment((v, "%s() by index", (flag==WHERE_ORDERBY_MIN?"min":"max")));
      }
      sqlite3WhereEnd(pWInfo);
      finalizeAggFunctions(pParse, &sAggInfo);
      pOrderBy = 0;
      if( pHaving ){
        sqlite3ExprIfFalse(pParse, pHaving, addrEnd, SQLITE_JUMPIFNULL);
      }

**    May you find forgiveness for yourself and forgive others.
**    May you share freely, never taking more than you give.
**
*************************************************************************
** This file contains C code routines that are called by the parser
** to handle SELECT statements in SQLite.
**
** $Id: select.c,v 1.432 2008/06/20 18:13:25 drh Exp $
*/
#include "sqliteInt.h"


/*
** Delete all the content of a Select structure but do not deallocate
** the select structure itself.
................................................................................
  }
  return pRet;
}
#endif /* SQLITE_OMIT_COMPOUND_SELECT */

#ifndef SQLITE_OMIT_COMPOUND_SELECT
/*
** This routine is called to process a compound query form from
** two or more separate queries using UNION, UNION ALL, EXCEPT, or
** INTERSECT
**
** "p" points to the right-most of the two queries.  the query on the
** left is p->pPrior.  The left query could also be a compound query
** in which case this routine will be called recursively. 
**
** The results of the total query are to be written into a destination
** of type eDest with parameter iParm.
................................................................................
    int iAbortFlag;     /* Mem address which causes query abort if positive */
    int groupBySort;    /* Rows come from source in GROUP BY order */


    /* The following variables hold addresses or labels for parts of the
    ** virtual machine program we are putting together */
    int addrOutputRow;      /* Start of subroutine that outputs a result row */
    int regOutputRow;       /* Return address register for output subroutine */
    int addrSetAbort;       /* Set the abort flag and return */
    int addrInitializeLoop; /* Start of code that initializes the input loop */
    int addrTopOfLoop;      /* Top of the input loop */


    int addrEnd;            /* End of all processing */
    int addrSortingIdx;     /* The OP_OpenEphemeral for the sorting index */
    int addrReset;          /* Subroutine for resetting the accumulator */
    int regReset;           /* Return address register for reset subroutine */

    addrEnd = sqlite3VdbeMakeLabel(v);

................................................................................
    if( db->mallocFailed ) goto select_end;

    /* Processing for aggregates with GROUP BY is very different and
    ** much more complex than aggregates without a GROUP BY.
    */
    if( pGroupBy ){
      KeyInfo *pKeyInfo;  /* Keying information for the group by clause */
      int j1;

      /* Create labels that we will be needing
      */

      addrInitializeLoop = sqlite3VdbeMakeLabel(v);



      /* If there is a GROUP BY clause we might need a sorting index to
      ** implement it.  Allocate that sorting index now.  If it turns out
      ** that we do not need it after all, the OpenEphemeral instruction
      ** will be converted into a Noop.  
      */
      sAggInfo.sortingIdx = pParse->nTab++;
................................................................................
        if( groupBySort ){
          sqlite3VdbeAddOp3(v, OP_Column, sAggInfo.sortingIdx, j, iBMem+j);
        }else{
          sAggInfo.directMode = 1;
          sqlite3ExprCode(pParse, pGroupBy->a[j].pExpr, iBMem+j);
        }
      }
      sqlite3VdbeAddOp4(v, OP_Compare, iAMem, iBMem, pGroupBy->nExpr,
                          (char*)pKeyInfo, P4_KEYINFO_STATIC);
      j1 = sqlite3VdbeCurrentAddr(v);

      sqlite3VdbeAddOp3(v, OP_Jump, j1+1, 0, j1+1);





      /* Generate code that runs whenever the GROUP BY changes.
      ** Changes in the GROUP BY are detected by the previous code
      ** block.  If there were no changes, this block is skipped.
      **
      ** This code copies current group by terms in b0,b1,b2,...
      ** over to a0,a1,a2.  It then calls the output subroutine
      ** and resets the aggregate accumulator registers in preparation
      ** for the next GROUP BY batch.
      */

      for(j=0; j<pGroupBy->nExpr; j++){
        sqlite3ExprCodeMove(pParse, iBMem+j, iAMem+j);
      }
      sqlite3VdbeAddOp2(v, OP_Gosub, regOutputRow, addrOutputRow);
      VdbeComment((v, "output one row"));
      sqlite3VdbeAddOp2(v, OP_IfPos, iAbortFlag, addrEnd);
      VdbeComment((v, "check abort flag"));
      sqlite3VdbeAddOp2(v, OP_Gosub, regReset, addrReset);
      VdbeComment((v, "reset accumulator"));

      /* Update the aggregate accumulators based on the content of
      ** the current row
      */
      sqlite3VdbeJumpHere(v, j1);
      updateAccumulator(pParse, &sAggInfo);
      sqlite3VdbeAddOp2(v, OP_Integer, 1, iUseFlag);
      VdbeComment((v, "indicate data in accumulator"));

      /* End of the loop
      */
      if( groupBySort ){
................................................................................
      if( pWInfo==0 ){
        sqlite3ExprListDelete(pDel);
        goto select_end;
      }
      updateAccumulator(pParse, &sAggInfo);
      if( !pMinMax && flag ){
        sqlite3VdbeAddOp2(v, OP_Goto, 0, pWInfo->iBreak);
        VdbeComment((v, "%s() by index",(flag==WHERE_ORDERBY_MIN?"min":"max")));
      }
      sqlite3WhereEnd(pWInfo);
      finalizeAggFunctions(pParse, &sAggInfo);
      pOrderBy = 0;
      if( pHaving ){
        sqlite3ExprIfFalse(pParse, pHaving, addrEnd, SQLITE_JUMPIFNULL);
      }

**
** Various scripts scan this source file in order to generate HTML
** documentation, headers files, or other derived files.  The formatting
** of the code in this file is, therefore, important.  See other comments
** in this file for details.  If in doubt, do not deviate from existing
** commenting and indentation practices when changing or adding code.
**
** $Id: vdbe.c,v 1.751 2008/06/20 15:24:02 drh Exp $
*/
#include "sqliteInt.h"
#include <ctype.h>
#include "vdbeInt.h"

/*
** The following global variable is incremented every time a cursor
................................................................................
    pOut->u.i = res;
    REGISTER_TRACE(pOp->p2, pOut);
  }else if( res ){
    pc = pOp->p2-1;
  }
  break;
}
















































/* Opcode: And P1 P2 P3 * *
**
** Take the logical AND of the values in registers P1 and P2 and
** write the result into register P3.
**
** If either P1 or P2 is 0 (false) then the result is 0 even if

**
** Various scripts scan this source file in order to generate HTML
** documentation, headers files, or other derived files.  The formatting
** of the code in this file is, therefore, important.  See other comments
** in this file for details.  If in doubt, do not deviate from existing
** commenting and indentation practices when changing or adding code.
**
** $Id: vdbe.c,v 1.752 2008/06/20 18:13:25 drh Exp $
*/
#include "sqliteInt.h"
#include <ctype.h>
#include "vdbeInt.h"

/*
** The following global variable is incremented every time a cursor
................................................................................
    pOut->u.i = res;
    REGISTER_TRACE(pOp->p2, pOut);
  }else if( res ){
    pc = pOp->p2-1;
  }
  break;
}

/* Opcode: Compare P1 P2 P3 P4 *
**
** Compare to vectors of registers in reg(P1)..reg(P1+P3-1) (all this
** one "A") and in reg(P2)..reg(P2+P3-1) ("B").  Save the result of
** the comparison for use by the next OP_Jump instruct.
**
** P4 is a KeyInfo structure that defines collating sequences usedused for affinity purposes.  The
** comparison is done for sorting purposes, so NULLs compare
** equal, NULLs are less than numbers, numbers are less than strings,
** and strings are less than blobs.
*/
case OP_Compare: {
  int n = pOp->p3;
  int i, p1, p2;
  const KeyInfo *pKeyInfo = pOp->p4.pKeyInfo;
  assert( n>0 );
  p1 = pOp->p1;
  assert( p1>0 && p1+n-1<p->nMem );
  p2 = pOp->p2;
  assert( p2>0 && p2+n-1<p->nMem );
  for(i=0; i<n; i++, p1++, p2++){
    REGISTER_TRACE(p1, &p->aMem[p1]);
    REGISTER_TRACE(p2, &p->aMem[p2]);
    p->iCompare = sqlite3MemCompare(&p->aMem[p1], &p->aMem[p2],
                   pKeyInfo && i<pKeyInfo->nField ? pKeyInfo->aColl[i] : 0);
    if( p->iCompare ) break;
  }
  break;
}

/* Opcode: Jump P1 P2 P3 * *
**
** Jump to the instruction at address P1, P2, or P3 depending on whether
** in the most recent OP_Compare instruction the P1 vector was less than
** equal to, or greater than the P2 vector, respectively.
*/
case OP_Jump: {
  if( p->iCompare<0 ){
    pc = pOp->p1 - 1;
  }else if( p->iCompare==0 ){
    pc = pOp->p2 - 1;
  }else{
    pc = pOp->p3 - 1;
  }
  break;
}

/* Opcode: And P1 P2 P3 * *
**
** Take the logical AND of the values in registers P1 and P2 and
** write the result into register P3.
**
** If either P1 or P2 is 0 (false) then the result is 0 even if

*************************************************************************
** Header file for the Virtual DataBase Engine (VDBE)
**
** This header defines the interface to the virtual database engine
** or VDBE.  The VDBE implements an abstract machine that runs a
** simple program to access and modify the underlying database.
**
** $Id: vdbe.h,v 1.132 2008/05/29 20:22:37 shane Exp $
*/
#ifndef _SQLITE_VDBE_H_
#define _SQLITE_VDBE_H_
#include <stdio.h>

/*
** A single VDBE is an opaque structure named "Vdbe".  Only routines
................................................................................
/* When adding a P4 argument using P4_KEYINFO, a copy of the KeyInfo structure
** is made.  That copy is freed when the Vdbe is finalized.  But if the
** argument is P4_KEYINFO_HANDOFF, the passed in pointer is used.  It still
** gets freed when the Vdbe is finalized so it still should be obtained
** from a single sqliteMalloc().  But no copy is made and the calling
** function should *not* try to free the KeyInfo.
*/
#define P4_KEYINFO_HANDOFF (-9)


/*
** The Vdbe.aColName array contains 5n Mem structures, where n is the 
** number of columns of data returned by the statement.
*/
#define COLNAME_NAME     0
#define COLNAME_DECLTYPE 1
................................................................................
void sqlite3VdbeDeleteUnpackedRecord(UnpackedRecord*);
int sqlite3VdbeRecordCompare(int,const void*,UnpackedRecord*);


#ifndef NDEBUG
  void sqlite3VdbeComment(Vdbe*, const char*, ...);
# define VdbeComment(X)  sqlite3VdbeComment X


#else
# define VdbeComment(X)

#endif

#endif

*************************************************************************
** Header file for the Virtual DataBase Engine (VDBE)
**
** This header defines the interface to the virtual database engine
** or VDBE.  The VDBE implements an abstract machine that runs a
** simple program to access and modify the underlying database.
**
** $Id: vdbe.h,v 1.133 2008/06/20 18:13:25 drh Exp $
*/
#ifndef _SQLITE_VDBE_H_
#define _SQLITE_VDBE_H_
#include <stdio.h>

/*
** A single VDBE is an opaque structure named "Vdbe".  Only routines
................................................................................
/* When adding a P4 argument using P4_KEYINFO, a copy of the KeyInfo structure
** is made.  That copy is freed when the Vdbe is finalized.  But if the
** argument is P4_KEYINFO_HANDOFF, the passed in pointer is used.  It still
** gets freed when the Vdbe is finalized so it still should be obtained
** from a single sqliteMalloc().  But no copy is made and the calling
** function should *not* try to free the KeyInfo.
*/
#define P4_KEYINFO_HANDOFF (-15)
#define P4_KEYINFO_STATIC  (-16)

/*
** The Vdbe.aColName array contains 5n Mem structures, where n is the 
** number of columns of data returned by the statement.
*/
#define COLNAME_NAME     0
#define COLNAME_DECLTYPE 1
................................................................................
void sqlite3VdbeDeleteUnpackedRecord(UnpackedRecord*);
int sqlite3VdbeRecordCompare(int,const void*,UnpackedRecord*);


#ifndef NDEBUG
  void sqlite3VdbeComment(Vdbe*, const char*, ...);
# define VdbeComment(X)  sqlite3VdbeComment X
  void sqlite3VdbeNoopComment(Vdbe*, const char*, ...);
# define VdbeNoopComment(X)  sqlite3VdbeNoopComment X
#else
# define VdbeComment(X)
# define VdbeNoopComment(X)
#endif

#endif

*************************************************************************
** This is the header file for information that is private to the
** VDBE.  This information used to all be at the top of the single
** source code file "vdbe.c".  When that file became too big (over
** 6000 lines long) it was split up into several smaller files and
** this header information was factored out.
**
** $Id: vdbeInt.h,v 1.147 2008/06/06 15:04:37 drh Exp $
*/
#ifndef _VDBEINT_H_
#define _VDBEINT_H_

/*
** intToKey() and keyToInt() used to transform the rowid.  But with
** the latest versions of the design they are no-ops.
................................................................................
  Mem *pResultSet;        /* Pointer to an array of results */
  u8 explain;             /* True if EXPLAIN present on SQL command */
  u8 changeCntOn;         /* True to update the change-counter */
  u8 aborted;             /* True if ROLLBACK in another VM causes an abort */
  u8 expired;             /* True if the VM needs to be recompiled */
  u8 minWriteFileFormat;  /* Minimum file format for writable database files */
  u8 inVtabMethod;        /* See comments above */

  int nChange;            /* Number of db changes made since last reset */
  i64 startTime;          /* Time when query started - used for profiling */
  int btreeMask;          /* Bitmask of db->aDb[] entries referenced */
  BtreeMutexArray aMutex; /* An array of Btree used here and needing locks */
  int nSql;             /* Number of bytes in zSql */
  char *zSql;           /* Text of the SQL statement that generated this */
#ifdef SQLITE_DEBUG

*************************************************************************
** This is the header file for information that is private to the
** VDBE.  This information used to all be at the top of the single
** source code file "vdbe.c".  When that file became too big (over
** 6000 lines long) it was split up into several smaller files and
** this header information was factored out.
**
** $Id: vdbeInt.h,v 1.148 2008/06/20 18:13:25 drh Exp $
*/
#ifndef _VDBEINT_H_
#define _VDBEINT_H_

/*
** intToKey() and keyToInt() used to transform the rowid.  But with
** the latest versions of the design they are no-ops.
................................................................................
  Mem *pResultSet;        /* Pointer to an array of results */
  u8 explain;             /* True if EXPLAIN present on SQL command */
  u8 changeCntOn;         /* True to update the change-counter */
  u8 aborted;             /* True if ROLLBACK in another VM causes an abort */
  u8 expired;             /* True if the VM needs to be recompiled */
  u8 minWriteFileFormat;  /* Minimum file format for writable database files */
  u8 inVtabMethod;        /* See comments above */
  int iCompare;           /* Result of most recent OP_Compare comparison */
  int nChange;            /* Number of db changes made since last reset */
  i64 startTime;          /* Time when query started - used for profiling */
  int btreeMask;          /* Bitmask of db->aDb[] entries referenced */
  BtreeMutexArray aMutex; /* An array of Btree used here and needing locks */
  int nSql;             /* Number of bytes in zSql */
  char *zSql;           /* Text of the SQL statement that generated this */
#ifdef SQLITE_DEBUG

**
*************************************************************************
** This file contains code used for creating, destroying, and populating
** a VDBE (or an "sqlite3_stmt" as it is known to the outside world.)  Prior
** to version 2.8.7, all this code was combined into the vdbe.c source file.
** But that file was getting too big so this subroutines were split out.
**
** $Id: vdbeaux.c,v 1.389 2008/06/20 14:59:51 danielk1977 Exp $
*/
#include "sqliteInt.h"
#include <ctype.h>
#include "vdbeInt.h"



................................................................................
    pOp->p4.z = sqlite3DbStrNDup(p->db, zP4, n);
    pOp->p4type = P4_DYNAMIC;
  }
}

#ifndef NDEBUG
/*
** Change the comment on the the most recently coded instruction.



*/
void sqlite3VdbeComment(Vdbe *p, const char *zFormat, ...){
  va_list ap;
  assert( p->nOp>0 || p->aOp==0 );
  assert( p->aOp==0 || p->aOp[p->nOp-1].zComment==0 || p->db->mallocFailed );
  if( p->nOp ){
    char **pz = &p->aOp[p->nOp-1].zComment;
    va_start(ap, zFormat);
    sqlite3_free(*pz);
    *pz = sqlite3VMPrintf(p->db, zFormat, ap);
    va_end(ap);
  }
}













#endif

/*
** Return the opcode for a given address.
*/
VdbeOp *sqlite3VdbeGetOp(Vdbe *p, int addr){
  assert( p->magic==VDBE_MAGIC_INIT );
  assert( (addr>=0 && addr<p->nOp) || p->db->mallocFailed );
................................................................................
** Compute a string that describes the P4 parameter for an opcode.
** Use zTemp for any required temporary buffer space.
*/
static char *displayP4(Op *pOp, char *zTemp, int nTemp){
  char *zP4 = zTemp;
  assert( nTemp>=20 );
  switch( pOp->p4type ){

    case P4_KEYINFO: {
      int i, j;
      KeyInfo *pKeyInfo = pOp->p4.pKeyInfo;
      sqlite3_snprintf(nTemp, zTemp, "keyinfo(%d", pKeyInfo->nField);
      i = strlen(zTemp);
      for(j=0; j<pKeyInfo->nField; j++){
        CollSeq *pColl = pKeyInfo->aColl[j];

**
*************************************************************************
** This file contains code used for creating, destroying, and populating
** a VDBE (or an "sqlite3_stmt" as it is known to the outside world.)  Prior
** to version 2.8.7, all this code was combined into the vdbe.c source file.
** But that file was getting too big so this subroutines were split out.
**
** $Id: vdbeaux.c,v 1.390 2008/06/20 18:13:25 drh Exp $
*/
#include "sqliteInt.h"
#include <ctype.h>
#include "vdbeInt.h"



................................................................................
    pOp->p4.z = sqlite3DbStrNDup(p->db, zP4, n);
    pOp->p4type = P4_DYNAMIC;
  }
}

#ifndef NDEBUG
/*
** Change the comment on the the most recently coded instruction.  Or
** insert a No-op and add the comment to that new instruction.  This
** makes the code easier to read during debugging.  None of this happens
** in a production build.
*/
void sqlite3VdbeComment(Vdbe *p, const char *zFormat, ...){
  va_list ap;
  assert( p->nOp>0 || p->aOp==0 );
  assert( p->aOp==0 || p->aOp[p->nOp-1].zComment==0 || p->db->mallocFailed );
  if( p->nOp ){
    char **pz = &p->aOp[p->nOp-1].zComment;
    va_start(ap, zFormat);
    sqlite3_free(*pz);
    *pz = sqlite3VMPrintf(p->db, zFormat, ap);
    va_end(ap);
  }
}
void sqlite3VdbeNoopComment(Vdbe *p, const char *zFormat, ...){
  va_list ap;
  sqlite3VdbeAddOp0(p, OP_Noop);
  assert( p->nOp>0 || p->aOp==0 );
  assert( p->aOp==0 || p->aOp[p->nOp-1].zComment==0 || p->db->mallocFailed );
  if( p->nOp ){
    char **pz = &p->aOp[p->nOp-1].zComment;
    va_start(ap, zFormat);
    sqlite3_free(*pz);
    *pz = sqlite3VMPrintf(p->db, zFormat, ap);
    va_end(ap);
  }
}
#endif  /* NDEBUG */

/*
** Return the opcode for a given address.
*/
VdbeOp *sqlite3VdbeGetOp(Vdbe *p, int addr){
  assert( p->magic==VDBE_MAGIC_INIT );
  assert( (addr>=0 && addr<p->nOp) || p->db->mallocFailed );
................................................................................
** Compute a string that describes the P4 parameter for an opcode.
** Use zTemp for any required temporary buffer space.
*/
static char *displayP4(Op *pOp, char *zTemp, int nTemp){
  char *zP4 = zTemp;
  assert( nTemp>=20 );
  switch( pOp->p4type ){
    case P4_KEYINFO_STATIC:
    case P4_KEYINFO: {
      int i, j;
      KeyInfo *pKeyInfo = pOp->p4.pKeyInfo;
      sqlite3_snprintf(nTemp, zTemp, "keyinfo(%d", pKeyInfo->nField);
      i = strlen(zTemp);
      for(j=0; j<pKeyInfo->nField; j++){
        CollSeq *pColl = pKeyInfo->aColl[j];