pCur->curFlags &= ~BTCF_AtLast;
      }
   
    }
  }
  return rc;
}
































































/* Move the cursor so that it points to an entry near the key 
** specified by pIdxKey or intKey.   Return a success code.
**
** For INTKEY tables, the intKey parameter is used.  pIdxKey 
** must be NULL.  For index tables, pIdxKey is used and intKey
** is ignored.

        pCur->curFlags &= ~BTCF_AtLast;
      }
   
    }
  }
  return rc;
}

/*
** Move the cursor pCur to a location within its b-tree that is
** approximately the x/1e9*nRow entry in the table, assuming the
** table contains nRow entries.  So, in other words, if x==0 move
** to the first entry and if x=1e9 move to the last entry and if
** x=5e8 move to the middle entry.  The final landing spot is
** approximate.
**
** Write an estimate of the number of entries in the b-tree into
** the *pnRowEst variable.
**
** This routine works by first moving the cursor to the root of the
** b-tree, then following pointers down to a leaf, selecting a pointer
** according to x.
**
** The estimated number of entries is found by multiplying the number of
** entries on the leaf page by the number of pointers at each layer of
** non-leaf pages.
**
** Return SQLITE_OK on success or an error code if problems are encountered.
*/
int sqlite3BtreeMovetoProportional(
  BtCursor *pCur,            /* Cursor to reposition */
  u32 x,                     /* approximate location to position the cursor */
  sqlite3_uint64 *pnRowEst   /* Write estimated entry count here */
){
  sqlite3_uint64 n = 1;
  int rc;
  Pgno chldPg;
  u32 mx = 1000000000;
  u32 perChild;
  u16 rx;
  MemPage *pPage;
  rc = moveToRoot(pCur);
  if( rc ) return rc;
  pPage = pCur->apPage[0];
  while( !pPage->leaf ){
    perChild = (mx+pPage->nCell)/(pPage->nCell+1);
    rx = x/perChild;
    x %= perChild;
    mx = perChild;
    if( rx>=pPage->nCell ){
      chldPg = get4byte(&pPage->aData[pPage->hdrOffset+8]);
    }else{
      chldPg = get4byte(findCell(pPage,rx));
    }
    n *= pPage->nCell+1;
    pCur->aiIdx[pCur->iPage] = rx;
    rc = moveToChild(pCur, chldPg);
    if( rc ) return rc;
    pPage = pCur->apPage[pCur->iPage];
  }
  *pnRowEst = n*pPage->nCell;
  if( pPage->nCell==0 ){
    rx = 0;
  }else{
    perChild = mx/pPage->nCell;
    rx = x/perChild;
  }
  pCur->aiIdx[pCur->iPage] = rx;
  return SQLITE_OK;
}

/* Move the cursor so that it points to an entry near the key 
** specified by pIdxKey or intKey.   Return a success code.
**
** For INTKEY tables, the intKey parameter is used.  pIdxKey 
** must be NULL.  For index tables, pIdxKey is used and intKey
** is ignored.

void sqlite3BtreeCursorZero(BtCursor*);
void sqlite3BtreeCursorHintFlags(BtCursor*, unsigned);
#ifdef SQLITE_ENABLE_CURSOR_HINTS
void sqlite3BtreeCursorHint(BtCursor*, int, ...);
#endif

int sqlite3BtreeCloseCursor(BtCursor*);

int sqlite3BtreeMovetoUnpacked(
  BtCursor*,
  UnpackedRecord *pUnKey,
  i64 intKey,
  int bias,
  int *pRes
);

void sqlite3BtreeCursorZero(BtCursor*);
void sqlite3BtreeCursorHintFlags(BtCursor*, unsigned);
#ifdef SQLITE_ENABLE_CURSOR_HINTS
void sqlite3BtreeCursorHint(BtCursor*, int, ...);
#endif

int sqlite3BtreeCloseCursor(BtCursor*);
int sqlite3BtreeMovetoProportional(BtCursor*,u32,u64*);
int sqlite3BtreeMovetoUnpacked(
  BtCursor*,
  UnpackedRecord *pUnKey,
  i64 intKey,
  int bias,
  int *pRes
);

  case PragTyp_CASE_SENSITIVE_LIKE: {
    if( zRight ){
      sqlite3RegisterLikeFunctions(db, sqlite3GetBoolean(zRight, 0));
    }
  }
  break;












































#ifndef SQLITE_INTEGRITY_CHECK_ERROR_MAX
# define SQLITE_INTEGRITY_CHECK_ERROR_MAX 100
#endif

#ifndef SQLITE_OMIT_INTEGRITY_CHECK
  /* Pragma "quick_check" is reduced version of 
  ** integrity_check designed to detect most database corruption

  case PragTyp_CASE_SENSITIVE_LIKE: {
    if( zRight ){
      sqlite3RegisterLikeFunctions(db, sqlite3GetBoolean(zRight, 0));
    }
  }
  break;

  /*
  **   PRAGMA est_row_cnt(<table-or-index>,<fraction>);
  **
  ** Seek in <table-or-index> through the first <fraction> of rows and
  ** estimate the total number of rows based on the path back up to the
  ** root.
  */
  case PragTyp_EST_COUNT: {
    Index *pIdx;
    Table *pTab;
    Pgno iRoot = 0;
    const char *zName = 0;
    int regResult;
    double r;
    static const char *azCol[] = { "est" };
    if( (pIdx = sqlite3FindIndex(db, zRight, zDb))!=0 ){
      iRoot = pIdx->tnum;
      zName = pIdx->zName;
    }else if( (pTab = sqlite3FindTable(db, zRight, zDb))!=0 ){
      iRoot = pTab->tnum;
      zName = pTab->zName;
    }else{
      break;
    }
    sqlite3TableLock(pParse, iDb, iRoot, 0, zName);
    regResult = ++pParse->nMem;
    setAllColumnNames(v, 1, azCol);
    if( pValues->nId>=2 ){
      const char *z = pValues->a[1].zName;
      sqlite3AtoF(z, &r, sqlite3Strlen30(z), SQLITE_UTF8);
    }else{
      r = 0.5;
    }
    if( r<0.0 ) r = 0.0;
    if( r>1.0 ) r = 1.0;
    sqlite3CodeVerifySchema(pParse, iDb);
    pParse->nTab++;
    sqlite3VdbeAddOp4Int(v, OP_OpenRead, 0, iRoot, iDb, 1);
    sqlite3VdbeAddOp3(v, OP_EstRowCnt, 0, regResult, (int)(r*1000000000));
    sqlite3VdbeAddOp2(v, OP_ResultRow, regResult, 1);
  }
  break;

#ifndef SQLITE_INTEGRITY_CHECK_ERROR_MAX
# define SQLITE_INTEGRITY_CHECK_ERROR_MAX 100
#endif

#ifndef SQLITE_OMIT_INTEGRITY_CHECK
  /* Pragma "quick_check" is reduced version of 
  ** integrity_check designed to detect most database corruption

#define PragTyp_CASE_SENSITIVE_LIKE            6
#define PragTyp_COLLATION_LIST                 7
#define PragTyp_COMPILE_OPTIONS                8
#define PragTyp_DATA_STORE_DIRECTORY           9
#define PragTyp_DATABASE_LIST                 10
#define PragTyp_DEFAULT_CACHE_SIZE            11
#define PragTyp_ENCODING                      12

#define PragTyp_FOREIGN_KEY_CHECK             13
#define PragTyp_FOREIGN_KEY_LIST              14
#define PragTyp_INCREMENTAL_VACUUM            15
#define PragTyp_INDEX_INFO                    16
#define PragTyp_INDEX_LIST                    17
#define PragTyp_INTEGRITY_CHECK               18
#define PragTyp_JOURNAL_MODE                  19
#define PragTyp_JOURNAL_SIZE_LIMIT            20
#define PragTyp_LOCK_PROXY_FILE               21
#define PragTyp_LOCKING_MODE                  22
#define PragTyp_PAGE_COUNT                    23
#define PragTyp_MMAP_SIZE                     24
#define PragTyp_PAGE_SIZE                     25
#define PragTyp_SECURE_DELETE                 26
#define PragTyp_SHRINK_MEMORY                 27
#define PragTyp_SOFT_HEAP_LIMIT               28
#define PragTyp_STATS                         29
#define PragTyp_SYNCHRONOUS                   30
#define PragTyp_TABLE_INFO                    31
#define PragTyp_TEMP_STORE                    32
#define PragTyp_TEMP_STORE_DIRECTORY          33
#define PragTyp_THREADS                       34
#define PragTyp_WAL_AUTOCHECKPOINT            35
#define PragTyp_WAL_CHECKPOINT                36
#define PragTyp_ACTIVATE_EXTENSIONS           37
#define PragTyp_HEXKEY                        38
#define PragTyp_KEY                           39
#define PragTyp_REKEY                         40
#define PragTyp_LOCK_STATUS                   41
#define PragTyp_PARSER_TRACE                  42
#define PragFlag_NeedSchema           0x01
#define PragFlag_ReadOnly             0x02
static const struct sPragmaNames {
  const char *const zName;  /* Name of pragma */
  u8 ePragTyp;              /* PragTyp_XXX value */
  u8 mPragFlag;             /* Zero or more PragFlag_XXX values */
  u32 iArg;                 /* Extra argument */
................................................................................
#endif
#if !defined(SQLITE_OMIT_UTF16)
  { /* zName:     */ "encoding",
    /* ePragTyp:  */ PragTyp_ENCODING,
    /* ePragFlag: */ 0,
    /* iArg:      */ 0 },
#endif




#if !defined(SQLITE_OMIT_FOREIGN_KEY) && !defined(SQLITE_OMIT_TRIGGER)
  { /* zName:     */ "foreign_key_check",
    /* ePragTyp:  */ PragTyp_FOREIGN_KEY_CHECK,
    /* ePragFlag: */ PragFlag_NeedSchema,
    /* iArg:      */ 0 },
#endif
#if !defined(SQLITE_OMIT_FOREIGN_KEY)
................................................................................
#if !defined(SQLITE_OMIT_FLAG_PRAGMAS)
  { /* zName:     */ "writable_schema",
    /* ePragTyp:  */ PragTyp_FLAG,
    /* ePragFlag: */ 0,
    /* iArg:      */ SQLITE_WriteSchema|SQLITE_RecoveryMode },
#endif
};
/* Number of pragmas: 60 on by default, 73 total. */

#define PragTyp_CASE_SENSITIVE_LIKE            6
#define PragTyp_COLLATION_LIST                 7
#define PragTyp_COMPILE_OPTIONS                8
#define PragTyp_DATA_STORE_DIRECTORY           9
#define PragTyp_DATABASE_LIST                 10
#define PragTyp_DEFAULT_CACHE_SIZE            11
#define PragTyp_ENCODING                      12
#define PragTyp_EST_COUNT                     13
#define PragTyp_FOREIGN_KEY_CHECK             14
#define PragTyp_FOREIGN_KEY_LIST              15
#define PragTyp_INCREMENTAL_VACUUM            16
#define PragTyp_INDEX_INFO                    17
#define PragTyp_INDEX_LIST                    18
#define PragTyp_INTEGRITY_CHECK               19
#define PragTyp_JOURNAL_MODE                  20
#define PragTyp_JOURNAL_SIZE_LIMIT            21
#define PragTyp_LOCK_PROXY_FILE               22
#define PragTyp_LOCKING_MODE                  23
#define PragTyp_PAGE_COUNT                    24
#define PragTyp_MMAP_SIZE                     25
#define PragTyp_PAGE_SIZE                     26
#define PragTyp_SECURE_DELETE                 27
#define PragTyp_SHRINK_MEMORY                 28
#define PragTyp_SOFT_HEAP_LIMIT               29
#define PragTyp_STATS                         30
#define PragTyp_SYNCHRONOUS                   31
#define PragTyp_TABLE_INFO                    32
#define PragTyp_TEMP_STORE                    33
#define PragTyp_TEMP_STORE_DIRECTORY          34
#define PragTyp_THREADS                       35
#define PragTyp_WAL_AUTOCHECKPOINT            36
#define PragTyp_WAL_CHECKPOINT                37
#define PragTyp_ACTIVATE_EXTENSIONS           38
#define PragTyp_HEXKEY                        39
#define PragTyp_KEY                           40
#define PragTyp_REKEY                         41
#define PragTyp_LOCK_STATUS                   42
#define PragTyp_PARSER_TRACE                  43
#define PragFlag_NeedSchema           0x01
#define PragFlag_ReadOnly             0x02
static const struct sPragmaNames {
  const char *const zName;  /* Name of pragma */
  u8 ePragTyp;              /* PragTyp_XXX value */
  u8 mPragFlag;             /* Zero or more PragFlag_XXX values */
  u32 iArg;                 /* Extra argument */
................................................................................
#endif
#if !defined(SQLITE_OMIT_UTF16)
  { /* zName:     */ "encoding",
    /* ePragTyp:  */ PragTyp_ENCODING,
    /* ePragFlag: */ 0,
    /* iArg:      */ 0 },
#endif
  { /* zName:     */ "est_count",
    /* ePragTyp:  */ PragTyp_EST_COUNT,
    /* ePragFlag: */ PragFlag_NeedSchema,
    /* iArg:      */ 0 },
#if !defined(SQLITE_OMIT_FOREIGN_KEY) && !defined(SQLITE_OMIT_TRIGGER)
  { /* zName:     */ "foreign_key_check",
    /* ePragTyp:  */ PragTyp_FOREIGN_KEY_CHECK,
    /* ePragFlag: */ PragFlag_NeedSchema,
    /* iArg:      */ 0 },
#endif
#if !defined(SQLITE_OMIT_FOREIGN_KEY)
................................................................................
#if !defined(SQLITE_OMIT_FLAG_PRAGMAS)
  { /* zName:     */ "writable_schema",
    /* ePragTyp:  */ PragTyp_FLAG,
    /* ePragFlag: */ 0,
    /* iArg:      */ SQLITE_WriteSchema|SQLITE_RecoveryMode },
#endif
};
/* Number of pragmas: 61 on by default, 74 total. */

  if( rc ) goto abort_due_to_error;
  pC->nullRow = (u8)res;
  assert( pOp->p2>0 && pOp->p2<p->nOp );
  VdbeBranchTaken(res!=0,2);
  if( res ) goto jump_to_p2;
  break;
}


























/* Opcode: Next P1 P2 P3 P4 P5
**
** Advance cursor P1 so that it points to the next key/data pair in its
** table or index.  If there are no more key/value pairs then fall through
** to the following instruction.  But if the cursor advance was successful,
** jump immediately to P2.

  if( rc ) goto abort_due_to_error;
  pC->nullRow = (u8)res;
  assert( pOp->p2>0 && pOp->p2<p->nOp );
  VdbeBranchTaken(res!=0,2);
  if( res ) goto jump_to_p2;
  break;
}

/*
** Opcode: EstRowCnt P1 P2 P3 * * *
**
** Estimate the number of entries in btree for cursor P1 do a proportional
** seek to of P3.  Store the result as a floating point value in P2.
*/
case OP_EstRowCnt: {  /* out2 */
  VdbeCursor *pC;
  BtCursor *pCrsr;
  int rc;
  sqlite3_uint64 n = 0;

  assert( pOp->p1>=0 && pOp->p1<p->nCursor );
  pC = p->apCsr[pOp->p1];
  assert( pC->eCurType==CURTYPE_BTREE );
  pCrsr = pC->uc.pCursor;
  assert( pCrsr );
  rc = sqlite3BtreeMovetoProportional(pCrsr, pOp->p3, &n);
  if( rc ) goto abort_due_to_error;
  pOut = out2Prerelease(p, pOp);
  pOut->flags = MEM_Real;
  pOut->u.r = n;
  break;
}

/* Opcode: Next P1 P2 P3 P4 P5
**
** Advance cursor P1 so that it points to the next key/data pair in its
** table or index.  If there are no more key/value pairs then fall through
** to the following instruction.  But if the cursor advance was successful,
** jump immediately to P2.

  IF:   !defined(SQLITE_OMIT_INTEGRITY_CHECK)

  NAME: quick_check
  TYPE: INTEGRITY_CHECK
  FLAG: NeedSchema
  IF:   !defined(SQLITE_OMIT_INTEGRITY_CHECK)




  NAME: encoding
  IF:   !defined(SQLITE_OMIT_UTF16)

  NAME: schema_version
  TYPE: HEADER_VALUE
  ARG:  BTREE_SCHEMA_VERSION
  IF:   !defined(SQLITE_OMIT_SCHEMA_VERSION_PRAGMAS)

  IF:   !defined(SQLITE_OMIT_INTEGRITY_CHECK)

  NAME: quick_check
  TYPE: INTEGRITY_CHECK
  FLAG: NeedSchema
  IF:   !defined(SQLITE_OMIT_INTEGRITY_CHECK)

  NAME: est_count
  FLAG: NeedSchema

  NAME: encoding
  IF:   !defined(SQLITE_OMIT_UTF16)

  NAME: schema_version
  TYPE: HEADER_VALUE
  ARG:  BTREE_SCHEMA_VERSION
  IF:   !defined(SQLITE_OMIT_SCHEMA_VERSION_PRAGMAS)