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Overview
Comment:Merge latest trunk enhancements and fixes into the orderby-planning branch.
Downloads: Tarball | ZIP archive | SQL archive
Timelines: family | ancestors | descendants | both | orderby-planning
Files: files | file ages | folders
SHA1:84862d3a095629d20c8e7b8a16f4dc26cd41ab6d
User & Date: drh 2014-05-02 13:09:06
Context
2014-05-02
15:25
Fix a faulty assert() statement. check-in: 9196ce40 user: drh tags: orderby-planning
13:09
Merge latest trunk enhancements and fixes into the orderby-planning branch. check-in: 84862d3a user: drh tags: orderby-planning
00:09
Add a comment explaining why WhereLoop cost adjustments are omitted for skip-scan loops. check-in: 3bc43594 user: drh tags: trunk
2014-04-24
16:25
Improved header comment on the vdbesort.c module. No changes to code. check-in: bf09ce24 user: drh tags: orderby-planning
Changes
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Changes to ext/rtree/rtree.c.

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**      of 4-byte coordinates. For leaf nodes the integer is the rowid
**      of a record. For internal nodes it is the node number of a
**      child page.
*/

#if !defined(SQLITE_CORE) || defined(SQLITE_ENABLE_RTREE)

/*
** This file contains an implementation of a couple of different variants
** of the r-tree algorithm. See the README file for further details. The 
** same data-structure is used for all, but the algorithms for insert and
** delete operations vary. The variants used are selected at compile time 
** by defining the following symbols:
*/

/* Either, both or none of the following may be set to activate 
** r*tree variant algorithms.
*/
#define VARIANT_RSTARTREE_CHOOSESUBTREE 0
#define VARIANT_RSTARTREE_REINSERT      1

/* 
** Exactly one of the following must be set to 1.
*/
#define VARIANT_GUTTMAN_QUADRATIC_SPLIT 0
#define VARIANT_GUTTMAN_LINEAR_SPLIT    0
#define VARIANT_RSTARTREE_SPLIT         1

#define VARIANT_GUTTMAN_SPLIT \
        (VARIANT_GUTTMAN_LINEAR_SPLIT||VARIANT_GUTTMAN_QUADRATIC_SPLIT)

#if VARIANT_GUTTMAN_QUADRATIC_SPLIT
  #define PickNext QuadraticPickNext
  #define PickSeeds QuadraticPickSeeds
  #define AssignCells splitNodeGuttman
#endif
#if VARIANT_GUTTMAN_LINEAR_SPLIT
  #define PickNext LinearPickNext
  #define PickSeeds LinearPickSeeds
  #define AssignCells splitNodeGuttman
#endif
#if VARIANT_RSTARTREE_SPLIT
  #define AssignCells splitNodeStartree
#endif

#if !defined(NDEBUG) && !defined(SQLITE_DEBUG) 
# define NDEBUG 1
#endif

#ifndef SQLITE_CORE
  #include "sqlite3ext.h"
  SQLITE_EXTENSION_INIT1
#else
  #include "sqlite3.h"
#endif

#include <string.h>
#include <assert.h>


#ifndef SQLITE_AMALGAMATION
#include "sqlite3rtree.h"
typedef sqlite3_int64 i64;
typedef unsigned char u8;

typedef unsigned int u32;
#endif

/*  The following macro is used to suppress compiler warnings.
*/
#ifndef UNUSED_PARAMETER
# define UNUSED_PARAMETER(x) (void)(x)
................................................................................
typedef struct RtreeCursor RtreeCursor;
typedef struct RtreeNode RtreeNode;
typedef struct RtreeCell RtreeCell;
typedef struct RtreeConstraint RtreeConstraint;
typedef struct RtreeMatchArg RtreeMatchArg;
typedef struct RtreeGeomCallback RtreeGeomCallback;
typedef union RtreeCoord RtreeCoord;


/* The rtree may have between 1 and RTREE_MAX_DIMENSIONS dimensions. */
#define RTREE_MAX_DIMENSIONS 5

/* Size of hash table Rtree.aHash. This hash table is not expected to
** ever contain very many entries, so a fixed number of buckets is 
** used.
*/
#define HASHSIZE 128

/* The xBestIndex method of this virtual table requires an estimate of
** the number of rows in the virtual table to calculate the costs of
** various strategies. If possible, this estimate is loaded from the
** sqlite_stat1 table (with RTREE_MIN_ROWEST as a hard-coded minimum).
** Otherwise, if no sqlite_stat1 entry is available, use 
** RTREE_DEFAULT_ROWEST.
................................................................................
#define RTREE_DEFAULT_ROWEST 1048576
#define RTREE_MIN_ROWEST         100

/* 
** An rtree virtual-table object.
*/
struct Rtree {
  sqlite3_vtab base;
  sqlite3 *db;                /* Host database connection */
  int iNodeSize;              /* Size in bytes of each node in the node table */
  int nDim;                   /* Number of dimensions */

  int nBytesPerCell;          /* Bytes consumed per cell */
  int iDepth;                 /* Current depth of the r-tree structure */
  char *zDb;                  /* Name of database containing r-tree table */
  char *zName;                /* Name of r-tree table */ 
  RtreeNode *aHash[HASHSIZE]; /* Hash table of in-memory nodes. */ 
  int nBusy;                  /* Current number of users of this structure */
  i64 nRowEst;                /* Estimated number of rows in this table */

  /* List of nodes removed during a CondenseTree operation. List is
  ** linked together via the pointer normally used for hash chains -
  ** RtreeNode.pNext. RtreeNode.iNode stores the depth of the sub-tree 
  ** headed by the node (leaf nodes have RtreeNode.iNode==0).
................................................................................
  sqlite3_stmt *pDeleteRowid;

  /* Statements to read/write/delete a record from xxx_parent */
  sqlite3_stmt *pReadParent;
  sqlite3_stmt *pWriteParent;
  sqlite3_stmt *pDeleteParent;

  int eCoordType;
};

/* Possible values for eCoordType: */
#define RTREE_COORD_REAL32 0
#define RTREE_COORD_INT32  1

/*
** If SQLITE_RTREE_INT_ONLY is defined, then this virtual table will
** only deal with integer coordinates.  No floating point operations
** will be done.
*/
#ifdef SQLITE_RTREE_INT_ONLY
  typedef sqlite3_int64 RtreeDValue;       /* High accuracy coordinate */
  typedef int RtreeValue;                  /* Low accuracy coordinate */

#else
  typedef double RtreeDValue;              /* High accuracy coordinate */
  typedef float RtreeValue;                /* Low accuracy coordinate */

#endif


















/*
** The minimum number of cells allowed for a node is a third of the 
** maximum. In Gutman's notation:
**
**     m = M/3
**
................................................................................
** supported cell size is 48 bytes (8 byte rowid + ten 4 byte coordinates).
** Therefore all non-root nodes must contain at least 3 entries. Since 
** 2^40 is greater than 2^64, an r-tree structure always has a depth of
** 40 or less.
*/
#define RTREE_MAX_DEPTH 40









/* 
** An rtree cursor object.
*/
struct RtreeCursor {
  sqlite3_vtab_cursor base;
  RtreeNode *pNode;                 /* Node cursor is currently pointing at */
  int iCell;                        /* Index of current cell in pNode */
  int iStrategy;                    /* Copy of idxNum search parameter */
  int nConstraint;                  /* Number of entries in aConstraint */
  RtreeConstraint *aConstraint;     /* Search constraints. */







};








union RtreeCoord {
  RtreeValue f;
  int i;


};

/*
** The argument is an RtreeCoord. Return the value stored within the RtreeCoord
** formatted as a RtreeDValue (double or int64). This macro assumes that local
** variable pRtree points to the Rtree structure associated with the
** RtreeCoord.
................................................................................

/*
** A search constraint.
*/
struct RtreeConstraint {
  int iCoord;                     /* Index of constrained coordinate */
  int op;                         /* Constraining operation */

  RtreeDValue rValue;             /* Constraint value. */
  int (*xGeom)(sqlite3_rtree_geometry*, int, RtreeDValue*, int*);
  sqlite3_rtree_geometry *pGeom;  /* Constraint callback argument for a MATCH */



};

/* Possible values for RtreeConstraint.op */
#define RTREE_EQ    0x41
#define RTREE_LE    0x42
#define RTREE_LT    0x43
#define RTREE_GE    0x44
#define RTREE_GT    0x45
#define RTREE_MATCH 0x46



/* 
** An rtree structure node.
*/
struct RtreeNode {
  RtreeNode *pParent;               /* Parent node */
  i64 iNode;
  int nRef;
  int isDirty;
  u8 *zData;
  RtreeNode *pNext;                 /* Next node in this hash chain */
};


#define NCELL(pNode) readInt16(&(pNode)->zData[2])

/* 
** Structure to store a deserialized rtree record.
*/
struct RtreeCell {
  i64 iRowid;
  RtreeCoord aCoord[RTREE_MAX_DIMENSIONS*2];






















};


/*
** Value for the first field of every RtreeMatchArg object. The MATCH
** operator tests that the first field of a blob operand matches this
** value to avoid operating on invalid blobs (which could cause a segfault).
*/
#define RTREE_GEOMETRY_MAGIC 0x891245AB

/*
** An instance of this structure must be supplied as a blob argument to
** the right-hand-side of an SQL MATCH operator used to constrain an
** r-tree query.

*/
struct RtreeMatchArg {
  u32 magic;                      /* Always RTREE_GEOMETRY_MAGIC */
  int (*xGeom)(sqlite3_rtree_geometry *, int, RtreeDValue*, int *);
  void *pContext;
  int nParam;
  RtreeDValue aParam[1];
};

/*
** When a geometry callback is created (see sqlite3_rtree_geometry_callback),
** a single instance of the following structure is allocated. It is used
** as the context for the user-function created by by s_r_g_c(). The object
** is eventually deleted by the destructor mechanism provided by
** sqlite3_create_function_v2() (which is called by s_r_g_c() to create
** the geometry callback function).
*/
struct RtreeGeomCallback {
  int (*xGeom)(sqlite3_rtree_geometry*, int, RtreeDValue*, int*);
  void *pContext;
};

#ifndef MAX
# define MAX(x,y) ((x) < (y) ? (y) : (x))
#endif
#ifndef MIN
# define MIN(x,y) ((x) > (y) ? (y) : (x))
................................................................................
}

/*
** Given a node number iNode, return the corresponding key to use
** in the Rtree.aHash table.
*/
static int nodeHash(i64 iNode){
  return (
    (iNode>>56) ^ (iNode>>48) ^ (iNode>>40) ^ (iNode>>32) ^ 
    (iNode>>24) ^ (iNode>>16) ^ (iNode>> 8) ^ (iNode>> 0)
  ) % HASHSIZE;
}

/*
** Search the node hash table for node iNode. If found, return a pointer
** to it. Otherwise, return 0.
*/
static RtreeNode *nodeHashLookup(Rtree *pRtree, i64 iNode){
................................................................................
  }
  return pNode;
}

/*
** Obtain a reference to an r-tree node.
*/
static int
nodeAcquire(
  Rtree *pRtree,             /* R-tree structure */
  i64 iNode,                 /* Node number to load */
  RtreeNode *pParent,        /* Either the parent node or NULL */
  RtreeNode **ppNode         /* OUT: Acquired node */
){
  int rc;
  int rc2 = SQLITE_OK;
................................................................................
  return rc;
}

/*
** Overwrite cell iCell of node pNode with the contents of pCell.
*/
static void nodeOverwriteCell(
  Rtree *pRtree, 
  RtreeNode *pNode,  
  RtreeCell *pCell, 
  int iCell
){
  int ii;
  u8 *p = &pNode->zData[4 + pRtree->nBytesPerCell*iCell];
  p += writeInt64(p, pCell->iRowid);
  for(ii=0; ii<(pRtree->nDim*2); ii++){
    p += writeCoord(p, &pCell->aCoord[ii]);
  }
  pNode->isDirty = 1;
}

/*
** Remove cell the cell with index iCell from node pNode.
*/
static void nodeDeleteCell(Rtree *pRtree, RtreeNode *pNode, int iCell){
  u8 *pDst = &pNode->zData[4 + pRtree->nBytesPerCell*iCell];
  u8 *pSrc = &pDst[pRtree->nBytesPerCell];
  int nByte = (NCELL(pNode) - iCell - 1) * pRtree->nBytesPerCell;
  memmove(pDst, pSrc, nByte);
  writeInt16(&pNode->zData[2], NCELL(pNode)-1);
................................................................................

/*
** Insert the contents of cell pCell into node pNode. If the insert
** is successful, return SQLITE_OK.
**
** If there is not enough free space in pNode, return SQLITE_FULL.
*/
static int
nodeInsertCell(
  Rtree *pRtree, 
  RtreeNode *pNode, 
  RtreeCell *pCell 
){
  int nCell;                    /* Current number of cells in pNode */
  int nMaxCell;                 /* Maximum number of cells for pNode */

  nMaxCell = (pRtree->iNodeSize-4)/pRtree->nBytesPerCell;
  nCell = NCELL(pNode);

................................................................................

  return (nCell==nMaxCell);
}

/*
** If the node is dirty, write it out to the database.
*/
static int
nodeWrite(Rtree *pRtree, RtreeNode *pNode){
  int rc = SQLITE_OK;
  if( pNode->isDirty ){
    sqlite3_stmt *p = pRtree->pWriteNode;
    if( pNode->iNode ){
      sqlite3_bind_int64(p, 1, pNode->iNode);
    }else{
      sqlite3_bind_null(p, 1);
................................................................................
  return rc;
}

/*
** Release a reference to a node. If the node is dirty and the reference
** count drops to zero, the node data is written to the database.
*/
static int
nodeRelease(Rtree *pRtree, RtreeNode *pNode){
  int rc = SQLITE_OK;
  if( pNode ){
    assert( pNode->nRef>0 );
    pNode->nRef--;
    if( pNode->nRef==0 ){
      if( pNode->iNode==1 ){
        pRtree->iDepth = -1;
................................................................................

/*
** Return the 64-bit integer value associated with cell iCell of
** node pNode. If pNode is a leaf node, this is a rowid. If it is
** an internal node, then the 64-bit integer is a child page number.
*/
static i64 nodeGetRowid(
  Rtree *pRtree, 
  RtreeNode *pNode, 
  int iCell
){
  assert( iCell<NCELL(pNode) );
  return readInt64(&pNode->zData[4 + pRtree->nBytesPerCell*iCell]);
}

/*
** Return coordinate iCoord from cell iCell in node pNode.
*/
static void nodeGetCoord(
  Rtree *pRtree, 
  RtreeNode *pNode, 
  int iCell,
  int iCoord,
  RtreeCoord *pCoord           /* Space to write result to */
){
  readCoord(&pNode->zData[12 + pRtree->nBytesPerCell*iCell + 4*iCoord], pCoord);
}

/*
** Deserialize cell iCell of node pNode. Populate the structure pointed
** to by pCell with the results.
*/
static void nodeGetCell(
  Rtree *pRtree, 
  RtreeNode *pNode, 
  int iCell,
  RtreeCell *pCell
){
  int ii;


  pCell->iRowid = nodeGetRowid(pRtree, pNode, iCell);

  for(ii=0; ii<pRtree->nDim*2; ii++){
    nodeGetCoord(pRtree, pNode, iCell, ii, &pCell->aCoord[ii]);



  }
}


/* Forward declaration for the function that does the work of
** the virtual table module xCreate() and xConnect() methods.
*/
................................................................................
/*
** Free the RtreeCursor.aConstraint[] array and its contents.
*/
static void freeCursorConstraints(RtreeCursor *pCsr){
  if( pCsr->aConstraint ){
    int i;                        /* Used to iterate through constraint array */
    for(i=0; i<pCsr->nConstraint; i++){
      sqlite3_rtree_geometry *pGeom = pCsr->aConstraint[i].pGeom;
      if( pGeom ){
        if( pGeom->xDelUser ) pGeom->xDelUser(pGeom->pUser);
        sqlite3_free(pGeom);
      }
    }
    sqlite3_free(pCsr->aConstraint);
    pCsr->aConstraint = 0;
  }
}

/* 
** Rtree virtual table module xClose method.
*/
static int rtreeClose(sqlite3_vtab_cursor *cur){
  Rtree *pRtree = (Rtree *)(cur->pVtab);
  int rc;
  RtreeCursor *pCsr = (RtreeCursor *)cur;
  freeCursorConstraints(pCsr);

  rc = nodeRelease(pRtree, pCsr->pNode);
  sqlite3_free(pCsr);
  return rc;
}

/*
** Rtree virtual table module xEof method.
**
** Return non-zero if the cursor does not currently point to a valid 
** record (i.e if the scan has finished), or zero otherwise.
*/
static int rtreeEof(sqlite3_vtab_cursor *cur){
  RtreeCursor *pCsr = (RtreeCursor *)cur;
  return (pCsr->pNode==0);

}

/*
** The r-tree constraint passed as the second argument to this function is
** guaranteed to be a MATCH constraint.













*/
static int testRtreeGeom(
  Rtree *pRtree,                  /* R-Tree object */
  RtreeConstraint *pConstraint,   /* MATCH constraint to test */
  RtreeCell *pCell,               /* Cell to test */



  int *pbRes                      /* OUT: Test result */
){
  int i;
  RtreeDValue aCoord[RTREE_MAX_DIMENSIONS*2];
  int nCoord = pRtree->nDim*2;




  assert( pConstraint->op==RTREE_MATCH );
  assert( pConstraint->pGeom );






  for(i=0; i<nCoord; i++){
    aCoord[i] = DCOORD(pCell->aCoord[i]);






  }
  return pConstraint->xGeom(pConstraint->pGeom, nCoord, aCoord, pbRes);

}

/* 
** Cursor pCursor currently points to a cell in a non-leaf page.
** Set *pbEof to true if the sub-tree headed by the cell is filtered
** (excluded) by the constraints in the pCursor->aConstraint[] 
** array, or false otherwise.
**
** Return SQLITE_OK if successful or an SQLite error code if an error
** occurs within a geometry callback.


*/
static int testRtreeCell(Rtree *pRtree, RtreeCursor *pCursor, int *pbEof){
  RtreeCell cell;
  int ii;
  int bRes = 0;
  int rc = SQLITE_OK;

  nodeGetCell(pRtree, pCursor->pNode, pCursor->iCell, &cell);
  for(ii=0; bRes==0 && ii<pCursor->nConstraint; ii++){
    RtreeConstraint *p = &pCursor->aConstraint[ii];
    RtreeDValue cell_min = DCOORD(cell.aCoord[(p->iCoord>>1)*2]);
    RtreeDValue cell_max = DCOORD(cell.aCoord[(p->iCoord>>1)*2+1]);

    assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
        || p->op==RTREE_GT || p->op==RTREE_EQ || p->op==RTREE_MATCH





    );






    switch( p->op ){
      case RTREE_LE: case RTREE_LT: 
        bRes = p->rValue<cell_min; 
        break;



      case RTREE_GE: case RTREE_GT: 
        bRes = p->rValue>cell_max; 
        break;



      case RTREE_EQ:
        bRes = (p->rValue>cell_max || p->rValue<cell_min);
        break;




      default: {
        assert( p->op==RTREE_MATCH );
        rc = testRtreeGeom(pRtree, p, &cell, &bRes);
        bRes = !bRes;
        break;













      }
    }
  }

  *pbEof = bRes;
  return rc;
}

/* 
** Test if the cell that cursor pCursor currently points to
** would be filtered (excluded) by the constraints in the 
** pCursor->aConstraint[] array. If so, set *pbEof to true before
** returning. If the cell is not filtered (excluded) by the constraints,
** set pbEof to zero.



**
** Return SQLITE_OK if successful or an SQLite error code if an error
** occurs within a geometry callback.
**
** This function assumes that the cell is part of a leaf node.










*/
static int testRtreeEntry(Rtree *pRtree, RtreeCursor *pCursor, int *pbEof){
  RtreeCell cell;
  int ii;
  *pbEof = 0;


  nodeGetCell(pRtree, pCursor->pNode, pCursor->iCell, &cell);
  for(ii=0; ii<pCursor->nConstraint; ii++){
    RtreeConstraint *p = &pCursor->aConstraint[ii];
    RtreeDValue coord = DCOORD(cell.aCoord[p->iCoord]);
    int res;
    assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
        || p->op==RTREE_GT || p->op==RTREE_EQ || p->op==RTREE_MATCH
    );
    switch( p->op ){
      case RTREE_LE: res = (coord<=p->rValue); break;
      case RTREE_LT: res = (coord<p->rValue);  break;
      case RTREE_GE: res = (coord>=p->rValue); break;
      case RTREE_GT: res = (coord>p->rValue);  break;
      case RTREE_EQ: res = (coord==p->rValue); break;
      default: {
        int rc;
        assert( p->op==RTREE_MATCH );
        rc = testRtreeGeom(pRtree, p, &cell, &res);
        if( rc!=SQLITE_OK ){
          return rc;
        }

        break;



      }
    }

    if( !res ){
      *pbEof = 1;
      return SQLITE_OK;



    }

  }

  return SQLITE_OK;
}

/*
** Cursor pCursor currently points at a node that heads a sub-tree of
** height iHeight (if iHeight==0, then the node is a leaf). Descend
** to point to the left-most cell of the sub-tree that matches the 
** configured constraints.





*/
static int descendToCell(
  Rtree *pRtree, 
  RtreeCursor *pCursor, 
  int iHeight,
  int *pEof                 /* OUT: Set to true if cannot descend */





){
  int isEof;
  int rc;
  int ii;
  RtreeNode *pChild;
  sqlite3_int64 iRowid;


  RtreeNode *pSavedNode = pCursor->pNode;
  int iSavedCell = pCursor->iCell;


  assert( iHeight>=0 );


  if( iHeight==0 ){
    rc = testRtreeEntry(pRtree, pCursor, &isEof);
  }else{
    rc = testRtreeCell(pRtree, pCursor, &isEof);
  }

  if( rc!=SQLITE_OK || isEof || iHeight==0 ){
    goto descend_to_cell_out;
  }

  iRowid = nodeGetRowid(pRtree, pCursor->pNode, pCursor->iCell);
  rc = nodeAcquire(pRtree, iRowid, pCursor->pNode, &pChild);
  if( rc!=SQLITE_OK ){
    goto descend_to_cell_out;
  }

  nodeRelease(pRtree, pCursor->pNode);
  pCursor->pNode = pChild;
  isEof = 1;
  for(ii=0; isEof && ii<NCELL(pChild); ii++){
    pCursor->iCell = ii;
    rc = descendToCell(pRtree, pCursor, iHeight-1, &isEof);
    if( rc!=SQLITE_OK ){
      goto descend_to_cell_out;
    }
  }

  if( isEof ){
    assert( pCursor->pNode==pChild );
    nodeReference(pSavedNode);
    nodeRelease(pRtree, pChild);
    pCursor->pNode = pSavedNode;
    pCursor->iCell = iSavedCell;
  }

descend_to_cell_out:
  *pEof = isEof;
  return rc;

}

/*
** One of the cells in node pNode is guaranteed to have a 64-bit 
** integer value equal to iRowid. Return the index of this cell.
*/
static int nodeRowidIndex(
................................................................................
  Rtree *pRtree, 
  RtreeNode *pNode, 
  i64 iRowid,
  int *piIndex
){
  int ii;
  int nCell = NCELL(pNode);

  for(ii=0; ii<nCell; ii++){
    if( nodeGetRowid(pRtree, pNode, ii)==iRowid ){
      *piIndex = ii;
      return SQLITE_OK;
    }
  }
  return SQLITE_CORRUPT_VTAB;
................................................................................
  RtreeNode *pParent = pNode->pParent;
  if( pParent ){
    return nodeRowidIndex(pRtree, pParent, pNode->iNode, piIndex);
  }
  *piIndex = -1;
  return SQLITE_OK;
}

/* 
** Rtree virtual table module xNext method.







*/
static int rtreeNext(sqlite3_vtab_cursor *pVtabCursor){
  Rtree *pRtree = (Rtree *)(pVtabCursor->pVtab);
  RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;
  int rc = SQLITE_OK;










  /* RtreeCursor.pNode must not be NULL. If is is NULL, then this cursor is
  ** already at EOF. It is against the rules to call the xNext() method of
  ** a cursor that has already reached EOF.



  */


































  assert( pCsr->pNode );



  if( pCsr->iStrategy==1 ){
    /* This "scan" is a direct lookup by rowid. There is no next entry. */
    nodeRelease(pRtree, pCsr->pNode);
    pCsr->pNode = 0;





























































  }else{
    /* Move to the next entry that matches the configured constraints. */





























    int iHeight = 0;
    while( pCsr->pNode ){



































































      RtreeNode *pNode = pCsr->pNode;


      int nCell = NCELL(pNode);
      for(pCsr->iCell++; pCsr->iCell<nCell; pCsr->iCell++){

        int isEof;
        rc = descendToCell(pRtree, pCsr, iHeight, &isEof);
        if( rc!=SQLITE_OK || !isEof ){






          return rc;
















        }

      }
      pCsr->pNode = pNode->pParent;
      rc = nodeParentIndex(pRtree, pNode, &pCsr->iCell);
      if( rc!=SQLITE_OK ){
        return rc;









      }
      nodeReference(pCsr->pNode);
      nodeRelease(pRtree, pNode);
      iHeight++;



    }








  }




















  return rc;
}

/* 
** Rtree virtual table module xRowid method.
*/
static int rtreeRowid(sqlite3_vtab_cursor *pVtabCursor, sqlite_int64 *pRowid){
  Rtree *pRtree = (Rtree *)pVtabCursor->pVtab;
  RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;



  assert(pCsr->pNode);

  *pRowid = nodeGetRowid(pRtree, pCsr->pNode, pCsr->iCell);

  return SQLITE_OK;
}

/* 
** Rtree virtual table module xColumn method.
*/
static int rtreeColumn(sqlite3_vtab_cursor *cur, sqlite3_context *ctx, int i){
  Rtree *pRtree = (Rtree *)cur->pVtab;
  RtreeCursor *pCsr = (RtreeCursor *)cur;







  if( i==0 ){
    i64 iRowid = nodeGetRowid(pRtree, pCsr->pNode, pCsr->iCell);
    sqlite3_result_int64(ctx, iRowid);
  }else{
    RtreeCoord c;

    nodeGetCoord(pRtree, pCsr->pNode, pCsr->iCell, i-1, &c);
#ifndef SQLITE_RTREE_INT_ONLY
    if( pRtree->eCoordType==RTREE_COORD_REAL32 ){
      sqlite3_result_double(ctx, c.f);
    }else
#endif
    {
      assert( pRtree->eCoordType==RTREE_COORD_INT32 );
      sqlite3_result_int(ctx, c.i);
    }
  }

  return SQLITE_OK;
}

/* 
** Use nodeAcquire() to obtain the leaf node containing the record with 
** rowid iRowid. If successful, set *ppLeaf to point to the node and
** return SQLITE_OK. If there is no such record in the table, set
** *ppLeaf to 0 and return SQLITE_OK. If an error occurs, set *ppLeaf
** to zero and return an SQLite error code.
*/
static int findLeafNode(Rtree *pRtree, i64 iRowid, RtreeNode **ppLeaf){





  int rc;
  *ppLeaf = 0;
  sqlite3_bind_int64(pRtree->pReadRowid, 1, iRowid);
  if( sqlite3_step(pRtree->pReadRowid)==SQLITE_ROW ){
    i64 iNode = sqlite3_column_int64(pRtree->pReadRowid, 0);

    rc = nodeAcquire(pRtree, iNode, 0, ppLeaf);
    sqlite3_reset(pRtree->pReadRowid);
  }else{
    rc = sqlite3_reset(pRtree->pReadRowid);
  }
  return rc;
}
................................................................................
/*
** This function is called to configure the RtreeConstraint object passed
** as the second argument for a MATCH constraint. The value passed as the
** first argument to this function is the right-hand operand to the MATCH
** operator.
*/
static int deserializeGeometry(sqlite3_value *pValue, RtreeConstraint *pCons){
  RtreeMatchArg *p;
  sqlite3_rtree_geometry *pGeom;
  int nBlob;


  /* Check that value is actually a blob. */
  if( sqlite3_value_type(pValue)!=SQLITE_BLOB ) return SQLITE_ERROR;

  /* Check that the blob is roughly the right size. */
  nBlob = sqlite3_value_bytes(pValue);
  if( nBlob<(int)sizeof(RtreeMatchArg) 
   || ((nBlob-sizeof(RtreeMatchArg))%sizeof(RtreeDValue))!=0
  ){
    return SQLITE_ERROR;
  }

  pGeom = (sqlite3_rtree_geometry *)sqlite3_malloc(
      sizeof(sqlite3_rtree_geometry) + nBlob
  );
  if( !pGeom ) return SQLITE_NOMEM;
  memset(pGeom, 0, sizeof(sqlite3_rtree_geometry));
  p = (RtreeMatchArg *)&pGeom[1];

  memcpy(p, sqlite3_value_blob(pValue), nBlob);
  if( p->magic!=RTREE_GEOMETRY_MAGIC 
   || nBlob!=(int)(sizeof(RtreeMatchArg) + (p->nParam-1)*sizeof(RtreeDValue))
  ){
    sqlite3_free(pGeom);
    return SQLITE_ERROR;
  }

  pGeom->pContext = p->pContext;
  pGeom->nParam = p->nParam;
  pGeom->aParam = p->aParam;

  pCons->xGeom = p->xGeom;
  pCons->pGeom = pGeom;


  return SQLITE_OK;
}

/* 
** Rtree virtual table module xFilter method.
*/
static int rtreeFilter(
  sqlite3_vtab_cursor *pVtabCursor, 
  int idxNum, const char *idxStr,
  int argc, sqlite3_value **argv
){
  Rtree *pRtree = (Rtree *)pVtabCursor->pVtab;
  RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;

  RtreeNode *pRoot = 0;
  int ii;
  int rc = SQLITE_OK;


  rtreeReference(pRtree);

  freeCursorConstraints(pCsr);
  pCsr->iStrategy = idxNum;

  if( idxNum==1 ){
    /* Special case - lookup by rowid. */
    RtreeNode *pLeaf;        /* Leaf on which the required cell resides */

    i64 iRowid = sqlite3_value_int64(argv[0]);

    rc = findLeafNode(pRtree, iRowid, &pLeaf);
    pCsr->pNode = pLeaf; 
    if( pLeaf ){
      assert( rc==SQLITE_OK );





      rc = nodeRowidIndex(pRtree, pLeaf, iRowid, &pCsr->iCell);




    }
  }else{
    /* Normal case - r-tree scan. Set up the RtreeCursor.aConstraint array 
    ** with the configured constraints. 
    */

    if( argc>0 ){
      pCsr->aConstraint = sqlite3_malloc(sizeof(RtreeConstraint)*argc);
      pCsr->nConstraint = argc;
      if( !pCsr->aConstraint ){
        rc = SQLITE_NOMEM;
      }else{
        memset(pCsr->aConstraint, 0, sizeof(RtreeConstraint)*argc);

        assert( (idxStr==0 && argc==0)
                || (idxStr && (int)strlen(idxStr)==argc*2) );
        for(ii=0; ii<argc; ii++){
          RtreeConstraint *p = &pCsr->aConstraint[ii];
          p->op = idxStr[ii*2];
          p->iCoord = idxStr[ii*2+1]-'a';
          if( p->op==RTREE_MATCH ){
            /* A MATCH operator. The right-hand-side must be a blob that
            ** can be cast into an RtreeMatchArg object. One created using
            ** an sqlite3_rtree_geometry_callback() SQL user function.
            */
            rc = deserializeGeometry(argv[ii], p);
            if( rc!=SQLITE_OK ){
              break;
            }



          }else{
#ifdef SQLITE_RTREE_INT_ONLY
            p->rValue = sqlite3_value_int64(argv[ii]);
#else
            p->rValue = sqlite3_value_double(argv[ii]);
#endif
          }
        }
      }
    }
  
    if( rc==SQLITE_OK ){
      pCsr->pNode = 0;
      rc = nodeAcquire(pRtree, 1, 0, &pRoot);
    }

    if( rc==SQLITE_OK ){

      int isEof = 1;
      int nCell = NCELL(pRoot);
      pCsr->pNode = pRoot;
      for(pCsr->iCell=0; rc==SQLITE_OK && pCsr->iCell<nCell; pCsr->iCell++){
        assert( pCsr->pNode==pRoot );
        rc = descendToCell(pRtree, pCsr, pRtree->iDepth, &isEof);
        if( !isEof ){
          break;
        }
      }
      if( rc==SQLITE_OK && isEof ){
        assert( pCsr->pNode==pRoot );
        nodeRelease(pRtree, pRoot);
        pCsr->pNode = 0;


      }
      assert( rc!=SQLITE_OK || !pCsr->pNode || pCsr->iCell<NCELL(pCsr->pNode) );
    }
  }


  rtreeRelease(pRtree);
  return rc;
}

/*
** Set the pIdxInfo->estimatedRows variable to nRow. Unless this
** extension is currently being used by a version of SQLite too old to
................................................................................
        case SQLITE_INDEX_CONSTRAINT_GE: op = RTREE_GE; break;
        default:
          assert( p->op==SQLITE_INDEX_CONSTRAINT_MATCH );
          op = RTREE_MATCH; 
          break;
      }
      zIdxStr[iIdx++] = op;
      zIdxStr[iIdx++] = p->iColumn - 1 + 'a';
      pIdxInfo->aConstraintUsage[ii].argvIndex = (iIdx/2);
      pIdxInfo->aConstraintUsage[ii].omit = 1;
    }
  }

  pIdxInfo->idxNum = 2;
  pIdxInfo->needToFreeIdxStr = 1;
................................................................................
  RtreeCell cell;
  memcpy(&cell, p, sizeof(RtreeCell));
  area = cellArea(pRtree, &cell);
  cellUnion(pRtree, &cell, pCell);
  return (cellArea(pRtree, &cell)-area);
}

#if VARIANT_RSTARTREE_CHOOSESUBTREE || VARIANT_RSTARTREE_SPLIT
static RtreeDValue cellOverlap(
  Rtree *pRtree, 
  RtreeCell *p, 
  RtreeCell *aCell, 
  int nCell, 
  int iExclude
){
  int ii;
  RtreeDValue overlap = 0.0;
  for(ii=0; ii<nCell; ii++){
#if VARIANT_RSTARTREE_CHOOSESUBTREE
    if( ii!=iExclude )
#else
    assert( iExclude==-1 );
    UNUSED_PARAMETER(iExclude);
#endif
    {
      int jj;
      RtreeDValue o = (RtreeDValue)1;
      for(jj=0; jj<(pRtree->nDim*2); jj+=2){
        RtreeDValue x1, x2;

        x1 = MAX(DCOORD(p->aCoord[jj]), DCOORD(aCell[ii].aCoord[jj]));
        x2 = MIN(DCOORD(p->aCoord[jj+1]), DCOORD(aCell[ii].aCoord[jj+1]));

        if( x2<x1 ){
          o = 0.0;

          break;
        }else{
          o = o * (x2-x1);
        }
      }
      overlap += o;
    }
  }
  return overlap;
}
#endif

#if VARIANT_RSTARTREE_CHOOSESUBTREE
static RtreeDValue cellOverlapEnlargement(
  Rtree *pRtree, 
  RtreeCell *p, 
  RtreeCell *pInsert, 
  RtreeCell *aCell, 
  int nCell, 
  int iExclude
){
  RtreeDValue before, after;
  before = cellOverlap(pRtree, p, aCell, nCell, iExclude);
  cellUnion(pRtree, p, pInsert);
  after = cellOverlap(pRtree, p, aCell, nCell, iExclude);
  return (after-before);
}
#endif


/*
** This function implements the ChooseLeaf algorithm from Gutman[84].
** ChooseSubTree in r*tree terminology.
*/
static int ChooseLeaf(
................................................................................
  RtreeNode *pNode;
  rc = nodeAcquire(pRtree, 1, 0, &pNode);

  for(ii=0; rc==SQLITE_OK && ii<(pRtree->iDepth-iHeight); ii++){
    int iCell;
    sqlite3_int64 iBest = 0;

    RtreeDValue fMinGrowth = 0.0;
    RtreeDValue fMinArea = 0.0;
#if VARIANT_RSTARTREE_CHOOSESUBTREE
    RtreeDValue fMinOverlap = 0.0;
    RtreeDValue overlap;
#endif

    int nCell = NCELL(pNode);
    RtreeCell cell;
    RtreeNode *pChild;

    RtreeCell *aCell = 0;

#if VARIANT_RSTARTREE_CHOOSESUBTREE
    if( ii==(pRtree->iDepth-1) ){
      int jj;
      aCell = sqlite3_malloc(sizeof(RtreeCell)*nCell);
      if( !aCell ){
        rc = SQLITE_NOMEM;
        nodeRelease(pRtree, pNode);
        pNode = 0;
        continue;
      }
      for(jj=0; jj<nCell; jj++){
        nodeGetCell(pRtree, pNode, jj, &aCell[jj]);
      }
    }
#endif

    /* Select the child node which will be enlarged the least if pCell
    ** is inserted into it. Resolve ties by choosing the entry with
    ** the smallest area.
    */
    for(iCell=0; iCell<nCell; iCell++){
      int bBest = 0;
      RtreeDValue growth;
      RtreeDValue area;
      nodeGetCell(pRtree, pNode, iCell, &cell);
      growth = cellGrowth(pRtree, &cell, pCell);
      area = cellArea(pRtree, &cell);

#if VARIANT_RSTARTREE_CHOOSESUBTREE
      if( ii==(pRtree->iDepth-1) ){
        overlap = cellOverlapEnlargement(pRtree,&cell,pCell,aCell,nCell,iCell);
      }else{
        overlap = 0.0;
      }
      if( (iCell==0) 
       || (overlap<fMinOverlap) 
       || (overlap==fMinOverlap && growth<fMinGrowth)
       || (overlap==fMinOverlap && growth==fMinGrowth && area<fMinArea)
      ){
        bBest = 1;
        fMinOverlap = overlap;
      }
#else
      if( iCell==0||growth<fMinGrowth||(growth==fMinGrowth && area<fMinArea) ){
        bBest = 1;
      }
#endif
      if( bBest ){
        fMinGrowth = growth;
        fMinArea = area;
        iBest = cell.iRowid;
      }
    }

................................................................................
  sqlite3_bind_int64(pRtree->pWriteParent, 2, iPar);
  sqlite3_step(pRtree->pWriteParent);
  return sqlite3_reset(pRtree->pWriteParent);
}

static int rtreeInsertCell(Rtree *, RtreeNode *, RtreeCell *, int);

#if VARIANT_GUTTMAN_LINEAR_SPLIT
/*
** Implementation of the linear variant of the PickNext() function from
** Guttman[84].
*/
static RtreeCell *LinearPickNext(
  Rtree *pRtree,
  RtreeCell *aCell, 
  int nCell, 
  RtreeCell *pLeftBox, 
  RtreeCell *pRightBox,
  int *aiUsed
){
  int ii;
  for(ii=0; aiUsed[ii]; ii++);
  aiUsed[ii] = 1;
  return &aCell[ii];
}

/*
** Implementation of the linear variant of the PickSeeds() function from
** Guttman[84].
*/
static void LinearPickSeeds(
  Rtree *pRtree,
  RtreeCell *aCell, 
  int nCell, 
  int *piLeftSeed, 
  int *piRightSeed
){
  int i;
  int iLeftSeed = 0;
  int iRightSeed = 1;
  RtreeDValue maxNormalInnerWidth = (RtreeDValue)0;

  /* Pick two "seed" cells from the array of cells. The algorithm used
  ** here is the LinearPickSeeds algorithm from Gutman[1984]. The 
  ** indices of the two seed cells in the array are stored in local
  ** variables iLeftSeek and iRightSeed.
  */
  for(i=0; i<pRtree->nDim; i++){
    RtreeDValue x1 = DCOORD(aCell[0].aCoord[i*2]);
    RtreeDValue x2 = DCOORD(aCell[0].aCoord[i*2+1]);
    RtreeDValue x3 = x1;
    RtreeDValue x4 = x2;
    int jj;

    int iCellLeft = 0;
    int iCellRight = 0;

    for(jj=1; jj<nCell; jj++){
      RtreeDValue left = DCOORD(aCell[jj].aCoord[i*2]);
      RtreeDValue right = DCOORD(aCell[jj].aCoord[i*2+1]);

      if( left<x1 ) x1 = left;
      if( right>x4 ) x4 = right;
      if( left>x3 ){
        x3 = left;
        iCellRight = jj;
      }
      if( right<x2 ){
        x2 = right;
        iCellLeft = jj;
      }
    }

    if( x4!=x1 ){
      RtreeDValue normalwidth = (x3 - x2) / (x4 - x1);
      if( normalwidth>maxNormalInnerWidth ){
        iLeftSeed = iCellLeft;
        iRightSeed = iCellRight;
      }
    }
  }

  *piLeftSeed = iLeftSeed;
  *piRightSeed = iRightSeed;
}
#endif /* VARIANT_GUTTMAN_LINEAR_SPLIT */

#if VARIANT_GUTTMAN_QUADRATIC_SPLIT
/*
** Implementation of the quadratic variant of the PickNext() function from
** Guttman[84].
*/
static RtreeCell *QuadraticPickNext(
  Rtree *pRtree,
  RtreeCell *aCell, 
  int nCell, 
  RtreeCell *pLeftBox, 
  RtreeCell *pRightBox,
  int *aiUsed
){
  #define FABS(a) ((a)<0.0?-1.0*(a):(a))

  int iSelect = -1;
  RtreeDValue fDiff;
  int ii;
  for(ii=0; ii<nCell; ii++){
    if( aiUsed[ii]==0 ){
      RtreeDValue left = cellGrowth(pRtree, pLeftBox, &aCell[ii]);
      RtreeDValue right = cellGrowth(pRtree, pLeftBox, &aCell[ii]);
      RtreeDValue diff = FABS(right-left);
      if( iSelect<0 || diff>fDiff ){
        fDiff = diff;
        iSelect = ii;
      }
    }
  }
  aiUsed[iSelect] = 1;
  return &aCell[iSelect];
}

/*
** Implementation of the quadratic variant of the PickSeeds() function from
** Guttman[84].
*/
static void QuadraticPickSeeds(
  Rtree *pRtree,
  RtreeCell *aCell, 
  int nCell, 
  int *piLeftSeed, 
  int *piRightSeed
){
  int ii;
  int jj;

  int iLeftSeed = 0;
  int iRightSeed = 1;
  RtreeDValue fWaste = 0.0;

  for(ii=0; ii<nCell; ii++){
    for(jj=ii+1; jj<nCell; jj++){
      RtreeDValue right = cellArea(pRtree, &aCell[jj]);
      RtreeDValue growth = cellGrowth(pRtree, &aCell[ii], &aCell[jj]);
      RtreeDValue waste = growth - right;

      if( waste>fWaste ){
        iLeftSeed = ii;
        iRightSeed = jj;
        fWaste = waste;
      }
    }
  }

  *piLeftSeed = iLeftSeed;
  *piRightSeed = iRightSeed;
}
#endif /* VARIANT_GUTTMAN_QUADRATIC_SPLIT */

/*
** Arguments aIdx, aDistance and aSpare all point to arrays of size
** nIdx. The aIdx array contains the set of integers from 0 to 
** (nIdx-1) in no particular order. This function sorts the values
** in aIdx according to the indexed values in aDistance. For
** example, assuming the inputs:
................................................................................
        assert( xleft1<=xright1 && (xleft1<xright1 || xleft2<=xright2) );
      }
    }
#endif
  }
}

#if VARIANT_RSTARTREE_SPLIT
/*
** Implementation of the R*-tree variant of SplitNode from Beckman[1990].
*/
static int splitNodeStartree(
  Rtree *pRtree,
  RtreeCell *aCell,
  int nCell,
................................................................................
){
  int **aaSorted;
  int *aSpare;
  int ii;

  int iBestDim = 0;
  int iBestSplit = 0;
  RtreeDValue fBestMargin = 0.0;

  int nByte = (pRtree->nDim+1)*(sizeof(int*)+nCell*sizeof(int));

  aaSorted = (int **)sqlite3_malloc(nByte);
  if( !aaSorted ){
    return SQLITE_NOMEM;
  }
................................................................................
    for(jj=0; jj<nCell; jj++){
      aaSorted[ii][jj] = jj;
    }
    SortByDimension(pRtree, aaSorted[ii], nCell, ii, aCell, aSpare);
  }

  for(ii=0; ii<pRtree->nDim; ii++){
    RtreeDValue margin = 0.0;
    RtreeDValue fBestOverlap = 0.0;
    RtreeDValue fBestArea = 0.0;
    int iBestLeft = 0;
    int nLeft;

    for(
      nLeft=RTREE_MINCELLS(pRtree); 
      nLeft<=(nCell-RTREE_MINCELLS(pRtree)); 
      nLeft++
................................................................................
          cellUnion(pRtree, &left, &aCell[aaSorted[ii][kk]]);
        }else{
          cellUnion(pRtree, &right, &aCell[aaSorted[ii][kk]]);
        }
      }
      margin += cellMargin(pRtree, &left);
      margin += cellMargin(pRtree, &right);
      overlap = cellOverlap(pRtree, &left, &right, 1, -1);
      area = cellArea(pRtree, &left) + cellArea(pRtree, &right);
      if( (nLeft==RTREE_MINCELLS(pRtree))
       || (overlap<fBestOverlap)
       || (overlap==fBestOverlap && area<fBestArea)
      ){
        iBestLeft = nLeft;
        fBestOverlap = overlap;
................................................................................
    nodeInsertCell(pRtree, pTarget, pCell);
    cellUnion(pRtree, pBbox, pCell);
  }

  sqlite3_free(aaSorted);
  return SQLITE_OK;
}
#endif

#if VARIANT_GUTTMAN_SPLIT
/*
** Implementation of the regular R-tree SplitNode from Guttman[1984].
*/
static int splitNodeGuttman(
  Rtree *pRtree,
  RtreeCell *aCell,
  int nCell,
  RtreeNode *pLeft,
  RtreeNode *pRight,
  RtreeCell *pBboxLeft,
  RtreeCell *pBboxRight
){
  int iLeftSeed = 0;
  int iRightSeed = 1;
  int *aiUsed;
  int i;

  aiUsed = sqlite3_malloc(sizeof(int)*nCell);
  if( !aiUsed ){
    return SQLITE_NOMEM;
  }
  memset(aiUsed, 0, sizeof(int)*nCell);

  PickSeeds(pRtree, aCell, nCell, &iLeftSeed, &iRightSeed);

  memcpy(pBboxLeft, &aCell[iLeftSeed], sizeof(RtreeCell));
  memcpy(pBboxRight, &aCell[iRightSeed], sizeof(RtreeCell));
  nodeInsertCell(pRtree, pLeft, &aCell[iLeftSeed]);
  nodeInsertCell(pRtree, pRight, &aCell[iRightSeed]);
  aiUsed[iLeftSeed] = 1;
  aiUsed[iRightSeed] = 1;

  for(i=nCell-2; i>0; i--){
    RtreeCell *pNext;
    pNext = PickNext(pRtree, aCell, nCell, pBboxLeft, pBboxRight, aiUsed);
    RtreeDValue diff =  
      cellGrowth(pRtree, pBboxLeft, pNext) - 
      cellGrowth(pRtree, pBboxRight, pNext)
    ;
    if( (RTREE_MINCELLS(pRtree)-NCELL(pRight)==i)
     || (diff>0.0 && (RTREE_MINCELLS(pRtree)-NCELL(pLeft)!=i))
    ){
      nodeInsertCell(pRtree, pRight, pNext);
      cellUnion(pRtree, pBboxRight, pNext);
    }else{
      nodeInsertCell(pRtree, pLeft, pNext);
      cellUnion(pRtree, pBboxLeft, pNext);
    }
  }

  sqlite3_free(aiUsed);
  return SQLITE_OK;
}
#endif

static int updateMapping(
  Rtree *pRtree, 
  i64 iRowid, 
  RtreeNode *pNode, 
  int iHeight
){
................................................................................
    rc = SQLITE_NOMEM;
    goto splitnode_out;
  }

  memset(pLeft->zData, 0, pRtree->iNodeSize);
  memset(pRight->zData, 0, pRtree->iNodeSize);

  rc = AssignCells(pRtree, aCell, nCell, pLeft, pRight, &leftbbox, &rightbbox);

  if( rc!=SQLITE_OK ){
    goto splitnode_out;
  }

  /* Ensure both child nodes have node numbers assigned to them by calling
  ** nodeWrite(). Node pRight always needs a node number, as it was created
  ** by nodeNew() above. But node pLeft sometimes already has a node number.
................................................................................
    }
  }
  for(iDim=0; iDim<pRtree->nDim; iDim++){
    aCenterCoord[iDim] = (aCenterCoord[iDim]/(nCell*(RtreeDValue)2));
  }

  for(ii=0; ii<nCell; ii++){
    aDistance[ii] = 0.0;
    for(iDim=0; iDim<pRtree->nDim; iDim++){
      RtreeDValue coord = (DCOORD(aCell[ii].aCoord[iDim*2+1]) - 
                               DCOORD(aCell[ii].aCoord[iDim*2]));
      aDistance[ii] += (coord-aCenterCoord[iDim])*(coord-aCenterCoord[iDim]);
    }
  }

................................................................................
    if( pChild ){
      nodeRelease(pRtree, pChild->pParent);
      nodeReference(pNode);
      pChild->pParent = pNode;
    }
  }
  if( nodeInsertCell(pRtree, pNode, pCell) ){
#if VARIANT_RSTARTREE_REINSERT
    if( iHeight<=pRtree->iReinsertHeight || pNode->iNode==1){
      rc = SplitNode(pRtree, pNode, pCell, iHeight);
    }else{
      pRtree->iReinsertHeight = iHeight;
      rc = Reinsert(pRtree, pNode, pCell, iHeight);
    }
#else
    rc = SplitNode(pRtree, pNode, pCell, iHeight);
#endif
  }else{
    rc = AdjustTree(pRtree, pNode, pCell);
    if( rc==SQLITE_OK ){
      if( iHeight==0 ){
        rc = rowidWrite(pRtree, pCell->iRowid, pNode->iNode);
      }else{
        rc = parentWrite(pRtree, pCell->iRowid, pNode->iNode);
................................................................................
  /* Obtain a reference to the root node to initialize Rtree.iDepth */
  rc = nodeAcquire(pRtree, 1, 0, &pRoot);

  /* Obtain a reference to the leaf node that contains the entry 
  ** about to be deleted. 
  */
  if( rc==SQLITE_OK ){
    rc = findLeafNode(pRtree, iDelete, &pLeaf);
  }

  /* Delete the cell in question from the leaf node. */
  if( rc==SQLITE_OK ){
    int rc2;
    rc = nodeRowidIndex(pRtree, pLeaf, iDelete, &iCell);
    if( rc==SQLITE_OK ){
................................................................................

  pRtree->db = db;

  if( isCreate ){
    char *zCreate = sqlite3_mprintf(
"CREATE TABLE \"%w\".\"%w_node\"(nodeno INTEGER PRIMARY KEY, data BLOB);"
"CREATE TABLE \"%w\".\"%w_rowid\"(rowid INTEGER PRIMARY KEY, nodeno INTEGER);"
"CREATE TABLE \"%w\".\"%w_parent\"(nodeno INTEGER PRIMARY KEY, parentnode INTEGER);"

"INSERT INTO '%q'.'%q_node' VALUES(1, zeroblob(%d))",
      zDb, zPrefix, zDb, zPrefix, zDb, zPrefix, zDb, zPrefix, pRtree->iNodeSize
    );
    if( !zCreate ){
      return SQLITE_NOMEM;
    }
    rc = sqlite3_exec(db, zCreate, 0, 0, 0);
................................................................................
}


/*
** Implementation of a scalar function that decodes r-tree nodes to
** human readable strings. This can be used for debugging and analysis.
**
** The scalar function takes two arguments, a blob of data containing
** an r-tree node, and the number of dimensions the r-tree indexes.
** For a two-dimensional r-tree structure called "rt", to deserialize
** all nodes, a statement like:
**
**   SELECT rtreenode(2, data) FROM rt_node;
**
** The human readable string takes the form of a Tcl list with one
** entry for each cell in the r-tree node. Each entry is itself a
** list, containing the 8-byte rowid/pageno followed by the 
** <num-dimension>*2 coordinates.
................................................................................
    int jj;

    nodeGetCell(&tree, &node, ii, &cell);
    sqlite3_snprintf(512-nCell,&zCell[nCell],"%lld", cell.iRowid);
    nCell = (int)strlen(zCell);
    for(jj=0; jj<tree.nDim*2; jj++){
#ifndef SQLITE_RTREE_INT_ONLY
      sqlite3_snprintf(512-nCell,&zCell[nCell], " %f",
                       (double)cell.aCoord[jj].f);
#else
      sqlite3_snprintf(512-nCell,&zCell[nCell], " %d",
                       cell.aCoord[jj].i);
#endif
      nCell = (int)strlen(zCell);
    }
................................................................................
      zText = sqlite3_mprintf("{%s}", zCell);
    }
  }
  
  sqlite3_result_text(ctx, zText, -1, sqlite3_free);
}










static void rtreedepth(sqlite3_context *ctx, int nArg, sqlite3_value **apArg){
  UNUSED_PARAMETER(nArg);
  if( sqlite3_value_type(apArg[0])!=SQLITE_BLOB 
   || sqlite3_value_bytes(apArg[0])<2
  ){
    sqlite3_result_error(ctx, "Invalid argument to rtreedepth()", -1); 
  }else{
................................................................................
    rc = sqlite3_create_module_v2(db, "rtree_i32", &rtreeModule, c, 0);
  }

  return rc;
}

/*
** A version of sqlite3_free() that can be used as a callback. This is used
** in two places - as the destructor for the blob value returned by the
** invocation of a geometry function, and as the destructor for the geometry
** functions themselves.

*/
static void doSqlite3Free(void *p){



  sqlite3_free(p);
}

/*
** Each call to sqlite3_rtree_geometry_callback() creates an ordinary SQLite
** scalar user function. This C function is the callback used for all such
** registered SQL functions.
**
** The scalar user functions return a blob that is interpreted by r-tree
** table MATCH operators.






*/
static void geomCallback(sqlite3_context *ctx, int nArg, sqlite3_value **aArg){
  RtreeGeomCallback *pGeomCtx = (RtreeGeomCallback *)sqlite3_user_data(ctx);
  RtreeMatchArg *pBlob;
  int nBlob;

  nBlob = sizeof(RtreeMatchArg) + (nArg-1)*sizeof(RtreeDValue);
  pBlob = (RtreeMatchArg *)sqlite3_malloc(nBlob);
  if( !pBlob ){
    sqlite3_result_error_nomem(ctx);
  }else{
    int i;
    pBlob->magic = RTREE_GEOMETRY_MAGIC;
    pBlob->xGeom = pGeomCtx->xGeom;
    pBlob->pContext = pGeomCtx->pContext;
    pBlob->nParam = nArg;
    for(i=0; i<nArg; i++){
#ifdef SQLITE_RTREE_INT_ONLY
      pBlob->aParam[i] = sqlite3_value_int64(aArg[i]);
#else
      pBlob->aParam[i] = sqlite3_value_double(aArg[i]);
#endif
    }
    sqlite3_result_blob(ctx, pBlob, nBlob, doSqlite3Free);
  }
}

/*
** Register a new geometry function for use with the r-tree MATCH operator.
*/
int sqlite3_rtree_geometry_callback(
  sqlite3 *db,
  const char *zGeom,
  int (*xGeom)(sqlite3_rtree_geometry *, int, RtreeDValue *, int *),
  void *pContext
){
  RtreeGeomCallback *pGeomCtx;      /* Context object for new user-function */

  /* Allocate and populate the context object. */
  pGeomCtx = (RtreeGeomCallback *)sqlite3_malloc(sizeof(RtreeGeomCallback));
  if( !pGeomCtx ) return SQLITE_NOMEM;
  pGeomCtx->xGeom = xGeom;


  pGeomCtx->pContext = pContext;




  /* Create the new user-function. Register a destructor function to delete
  ** the context object when it is no longer required.  */





















  return sqlite3_create_function_v2(db, zGeom, -1, SQLITE_ANY, 
      (void *)pGeomCtx, geomCallback, 0, 0, doSqlite3Free
  );
}

#if !SQLITE_CORE
#ifdef _WIN32
__declspec(dllexport)
#endif







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50
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56










































57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
..
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
...
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123

124
125
126
127
128
129
130
...
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
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166
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168
169
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171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
...
204
205
206
207
208
209
210
211
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213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246

247
248
249
250
251
252
253
254
255
...
266
267
268
269
270
271
272
273
274
275

276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351

352
353
354













355
356
357
358
359
360
361
...
441
442
443
444
445
446
447



448
449
450
451
452
453
454
455
...
501
502
503
504
505
506
507

508
509
510
511
512
513
514
515
...
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
...
622
623
624
625
626
627
628

629
630
631
632
633
634
635
636
637
638
639
...
646
647
648
649
650
651
652

653
654
655
656
657
658
659
660
...
671
672
673
674
675
676
677

678
679
680
681
682
683
684
685
...
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742

743
744
745
746
747
748
749
750
751
752
...
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903

904
905
906
907

908
909
910
911
912
913
914
915
916
917
918
919
920
921
922




923
924
925
926




927
928
929
930


931
932
933
934
935
936


937
938
939
940
941
942
943

944
945

946







947
948
949












950
951
952
953
954
955
956
957
958
959
960
961
962
963




964
965
966



967
968
969



970
971
972
973

974



975
976
977
978
979
980
981
982
983
984
985
986
987
988
989



990
991
992
993





994
995
996
997




998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008




1009
1010





1011
1012

1013
1014
1015


1016







1017
1018
1019
1020
1021
1022



1023
1024
1025
1026
1027
1028
1029
1030
1031



1032

1033
1034
1035
1036
1037
1038
1039
1040
1041





1042
1043
1044
1045
1046
1047





1048
1049

1050

1051
1052

1053
1054
1055
1056
1057

1058
1059

1060





























1061
1062
1063
1064
1065
1066
1067
1068
....
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
....
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108




1109
1110
1111
1112
1113
1114
1115
1116
1117
1118



1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160




1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222

1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252

1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323

1324
1325


1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351




1352
1353
1354
1355
1356
1357
1358
1359
1360
1361



1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401

1402

1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425

1426
1427

1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439

1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
....
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528

1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545


1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598

1599



1600
1601
1602
1603

1604
1605
1606
1607







1608
1609
1610
1611

1612
1613

1614
1615
1616
1617
1618
1619
1620
1621
....
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
....
1802
1803
1804
1805
1806
1807
1808

1809
1810
1811
1812
1813

1814
1815
1816
1817







1818
1819
1820
1821

1822
1823

1824

1825
1826
1827
1828
1829
1830
1831

1832
1833
1834


















1835
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3453
**      of 4-byte coordinates. For leaf nodes the integer is the rowid
**      of a record. For internal nodes it is the node number of a
**      child page.
*/

#if !defined(SQLITE_CORE) || defined(SQLITE_ENABLE_RTREE)











































#ifndef SQLITE_CORE
  #include "sqlite3ext.h"
  SQLITE_EXTENSION_INIT1
#else
  #include "sqlite3.h"
#endif

#include <string.h>
#include <assert.h>
#include <stdio.h>

#ifndef SQLITE_AMALGAMATION
#include "sqlite3rtree.h"
typedef sqlite3_int64 i64;
typedef unsigned char u8;
typedef unsigned short u16;
typedef unsigned int u32;
#endif

/*  The following macro is used to suppress compiler warnings.
*/
#ifndef UNUSED_PARAMETER
# define UNUSED_PARAMETER(x) (void)(x)
................................................................................
typedef struct RtreeCursor RtreeCursor;
typedef struct RtreeNode RtreeNode;
typedef struct RtreeCell RtreeCell;
typedef struct RtreeConstraint RtreeConstraint;
typedef struct RtreeMatchArg RtreeMatchArg;
typedef struct RtreeGeomCallback RtreeGeomCallback;
typedef union RtreeCoord RtreeCoord;
typedef struct RtreeSearchPoint RtreeSearchPoint;

/* The rtree may have between 1 and RTREE_MAX_DIMENSIONS dimensions. */
#define RTREE_MAX_DIMENSIONS 5

/* Size of hash table Rtree.aHash. This hash table is not expected to
** ever contain very many entries, so a fixed number of buckets is 
** used.
*/
#define HASHSIZE 97

/* The xBestIndex method of this virtual table requires an estimate of
** the number of rows in the virtual table to calculate the costs of
** various strategies. If possible, this estimate is loaded from the
** sqlite_stat1 table (with RTREE_MIN_ROWEST as a hard-coded minimum).
** Otherwise, if no sqlite_stat1 entry is available, use 
** RTREE_DEFAULT_ROWEST.
................................................................................
#define RTREE_DEFAULT_ROWEST 1048576
#define RTREE_MIN_ROWEST         100

/* 
** An rtree virtual-table object.
*/
struct Rtree {
  sqlite3_vtab base;          /* Base class.  Must be first */
  sqlite3 *db;                /* Host database connection */
  int iNodeSize;              /* Size in bytes of each node in the node table */
  u8 nDim;                    /* Number of dimensions */
  u8 eCoordType;              /* RTREE_COORD_REAL32 or RTREE_COORD_INT32 */
  u8 nBytesPerCell;           /* Bytes consumed per cell */
  int iDepth;                 /* Current depth of the r-tree structure */
  char *zDb;                  /* Name of database containing r-tree table */
  char *zName;                /* Name of r-tree table */ 

  int nBusy;                  /* Current number of users of this structure */
  i64 nRowEst;                /* Estimated number of rows in this table */

  /* List of nodes removed during a CondenseTree operation. List is
  ** linked together via the pointer normally used for hash chains -
  ** RtreeNode.pNext. RtreeNode.iNode stores the depth of the sub-tree 
  ** headed by the node (leaf nodes have RtreeNode.iNode==0).
................................................................................
  sqlite3_stmt *pDeleteRowid;

  /* Statements to read/write/delete a record from xxx_parent */
  sqlite3_stmt *pReadParent;
  sqlite3_stmt *pWriteParent;
  sqlite3_stmt *pDeleteParent;

  RtreeNode *aHash[HASHSIZE]; /* Hash table of in-memory nodes. */ 
};

/* Possible values for Rtree.eCoordType: */
#define RTREE_COORD_REAL32 0
#define RTREE_COORD_INT32  1

/*
** If SQLITE_RTREE_INT_ONLY is defined, then this virtual table will
** only deal with integer coordinates.  No floating point operations
** will be done.
*/
#ifdef SQLITE_RTREE_INT_ONLY
  typedef sqlite3_int64 RtreeDValue;       /* High accuracy coordinate */
  typedef int RtreeValue;                  /* Low accuracy coordinate */
# define RTREE_ZERO 0
#else
  typedef double RtreeDValue;              /* High accuracy coordinate */
  typedef float RtreeValue;                /* Low accuracy coordinate */
# define RTREE_ZERO 0.0
#endif

/*
** When doing a search of an r-tree, instances of the following structure
** record intermediate results from the tree walk.
**
** The id is always a node-id.  For iLevel>=1 the id is the node-id of
** the node that the RtreeSearchPoint represents.  When iLevel==0, however,
** the id is of the parent node and the cell that RtreeSearchPoint
** represents is the iCell-th entry in the parent node.
*/
struct RtreeSearchPoint {
  RtreeDValue rScore;    /* The score for this node.  Smallest goes first. */
  sqlite3_int64 id;      /* Node ID */
  u8 iLevel;             /* 0=entries.  1=leaf node.  2+ for higher */
  u8 eWithin;            /* PARTLY_WITHIN or FULLY_WITHIN */
  u8 iCell;              /* Cell index within the node */
};

/*
** The minimum number of cells allowed for a node is a third of the 
** maximum. In Gutman's notation:
**
**     m = M/3
**
................................................................................
** supported cell size is 48 bytes (8 byte rowid + ten 4 byte coordinates).
** Therefore all non-root nodes must contain at least 3 entries. Since 
** 2^40 is greater than 2^64, an r-tree structure always has a depth of
** 40 or less.
*/
#define RTREE_MAX_DEPTH 40


/*
** Number of entries in the cursor RtreeNode cache.  The first entry is
** used to cache the RtreeNode for RtreeCursor.sPoint.  The remaining
** entries cache the RtreeNode for the first elements of the priority queue.
*/
#define RTREE_CACHE_SZ  5

/* 
** An rtree cursor object.
*/
struct RtreeCursor {
  sqlite3_vtab_cursor base;         /* Base class.  Must be first */
  u8 atEOF;                         /* True if at end of search */
  u8 bPoint;                        /* True if sPoint is valid */
  int iStrategy;                    /* Copy of idxNum search parameter */
  int nConstraint;                  /* Number of entries in aConstraint */
  RtreeConstraint *aConstraint;     /* Search constraints. */
  int nPointAlloc;                  /* Number of slots allocated for aPoint[] */
  int nPoint;                       /* Number of slots used in aPoint[] */
  int mxLevel;                      /* iLevel value for root of the tree */
  RtreeSearchPoint *aPoint;         /* Priority queue for search points */
  RtreeSearchPoint sPoint;          /* Cached next search point */
  RtreeNode *aNode[RTREE_CACHE_SZ]; /* Rtree node cache */
  u32 anQueue[RTREE_MAX_DEPTH+1];   /* Number of queued entries by iLevel */
};

/* Return the Rtree of a RtreeCursor */
#define RTREE_OF_CURSOR(X)   ((Rtree*)((X)->base.pVtab))

/*
** A coordinate can be either a floating point number or a integer.  All
** coordinates within a single R-Tree are always of the same time.
*/
union RtreeCoord {
  RtreeValue f;      /* Floating point value */

  int i;             /* Integer value */
  u32 u;             /* Unsigned for byte-order conversions */
};

/*
** The argument is an RtreeCoord. Return the value stored within the RtreeCoord
** formatted as a RtreeDValue (double or int64). This macro assumes that local
** variable pRtree points to the Rtree structure associated with the
** RtreeCoord.
................................................................................

/*
** A search constraint.
*/
struct RtreeConstraint {
  int iCoord;                     /* Index of constrained coordinate */
  int op;                         /* Constraining operation */
  union {
    RtreeDValue rValue;             /* Constraint value. */
    int (*xGeom)(sqlite3_rtree_geometry*,int,RtreeDValue*,int*);

    int (*xQueryFunc)(sqlite3_rtree_query_info*);
  } u;
  sqlite3_rtree_query_info *pInfo;  /* xGeom and xQueryFunc argument */
};

/* Possible values for RtreeConstraint.op */
#define RTREE_EQ    0x41  /* A */
#define RTREE_LE    0x42  /* B */
#define RTREE_LT    0x43  /* C */
#define RTREE_GE    0x44  /* D */
#define RTREE_GT    0x45  /* E */
#define RTREE_MATCH 0x46  /* F: Old-style sqlite3_rtree_geometry_callback() */
#define RTREE_QUERY 0x47  /* G: New-style sqlite3_rtree_query_callback() */


/* 
** An rtree structure node.
*/
struct RtreeNode {
  RtreeNode *pParent;         /* Parent node */
  i64 iNode;                  /* The node number */
  int nRef;                   /* Number of references to this node */
  int isDirty;                /* True if the node needs to be written to disk */
  u8 *zData;                  /* Content of the node, as should be on disk */
  RtreeNode *pNext;           /* Next node in this hash collision chain */
};

/* Return the number of cells in a node  */
#define NCELL(pNode) readInt16(&(pNode)->zData[2])

/* 
** A single cell from a node, deserialized
*/
struct RtreeCell {
  i64 iRowid;                                 /* Node or entry ID */
  RtreeCoord aCoord[RTREE_MAX_DIMENSIONS*2];  /* Bounding box coordinates */
};


/*
** This object becomes the sqlite3_user_data() for the SQL functions
** that are created by sqlite3_rtree_geometry_callback() and
** sqlite3_rtree_query_callback() and which appear on the right of MATCH
** operators in order to constrain a search.
**
** xGeom and xQueryFunc are the callback functions.  Exactly one of 
** xGeom and xQueryFunc fields is non-NULL, depending on whether the
** SQL function was created using sqlite3_rtree_geometry_callback() or
** sqlite3_rtree_query_callback().
** 
** This object is deleted automatically by the destructor mechanism in
** sqlite3_create_function_v2().
*/
struct RtreeGeomCallback {
  int (*xGeom)(sqlite3_rtree_geometry*, int, RtreeDValue*, int*);
  int (*xQueryFunc)(sqlite3_rtree_query_info*);
  void (*xDestructor)(void*);
  void *pContext;
};


/*
** Value for the first field of every RtreeMatchArg object. The MATCH
** operator tests that the first field of a blob operand matches this
** value to avoid operating on invalid blobs (which could cause a segfault).
*/
#define RTREE_GEOMETRY_MAGIC 0x891245AB

/*
** An instance of this structure (in the form of a BLOB) is returned by
** the SQL functions that sqlite3_rtree_geometry_callback() and
** sqlite3_rtree_query_callback() create, and is read as the right-hand
** operand to the MATCH operator of an R-Tree.
*/
struct RtreeMatchArg {
  u32 magic;                  /* Always RTREE_GEOMETRY_MAGIC */

  RtreeGeomCallback cb;       /* Info about the callback functions */
  int nParam;                 /* Number of parameters to the SQL function */
  RtreeDValue aParam[1];      /* Values for parameters to the SQL function */













};

#ifndef MAX
# define MAX(x,y) ((x) < (y) ? (y) : (x))
#endif
#ifndef MIN
# define MIN(x,y) ((x) > (y) ? (y) : (x))
................................................................................
}

/*
** Given a node number iNode, return the corresponding key to use
** in the Rtree.aHash table.
*/
static int nodeHash(i64 iNode){



  return iNode % HASHSIZE;
}

/*
** Search the node hash table for node iNode. If found, return a pointer
** to it. Otherwise, return 0.
*/
static RtreeNode *nodeHashLookup(Rtree *pRtree, i64 iNode){
................................................................................
  }
  return pNode;
}

/*
** Obtain a reference to an r-tree node.
*/

static int nodeAcquire(
  Rtree *pRtree,             /* R-tree structure */
  i64 iNode,                 /* Node number to load */
  RtreeNode *pParent,        /* Either the parent node or NULL */
  RtreeNode **ppNode         /* OUT: Acquired node */
){
  int rc;
  int rc2 = SQLITE_OK;
................................................................................
  return rc;
}

/*
** Overwrite cell iCell of node pNode with the contents of pCell.
*/
static void nodeOverwriteCell(
  Rtree *pRtree,             /* The overall R-Tree */
  RtreeNode *pNode,          /* The node into which the cell is to be written */
  RtreeCell *pCell,          /* The cell to write */
  int iCell                  /* Index into pNode into which pCell is written */
){
  int ii;
  u8 *p = &pNode->zData[4 + pRtree->nBytesPerCell*iCell];
  p += writeInt64(p, pCell->iRowid);
  for(ii=0; ii<(pRtree->nDim*2); ii++){
    p += writeCoord(p, &pCell->aCoord[ii]);
  }
  pNode->isDirty = 1;
}

/*
** Remove the cell with index iCell from node pNode.
*/
static void nodeDeleteCell(Rtree *pRtree, RtreeNode *pNode, int iCell){
  u8 *pDst = &pNode->zData[4 + pRtree->nBytesPerCell*iCell];
  u8 *pSrc = &pDst[pRtree->nBytesPerCell];
  int nByte = (NCELL(pNode) - iCell - 1) * pRtree->nBytesPerCell;
  memmove(pDst, pSrc, nByte);
  writeInt16(&pNode->zData[2], NCELL(pNode)-1);
................................................................................

/*
** Insert the contents of cell pCell into node pNode. If the insert
** is successful, return SQLITE_OK.
**
** If there is not enough free space in pNode, return SQLITE_FULL.
*/

static int nodeInsertCell(
  Rtree *pRtree,                /* The overall R-Tree */
  RtreeNode *pNode,             /* Write new cell into this node */
  RtreeCell *pCell              /* The cell to be inserted */
){
  int nCell;                    /* Current number of cells in pNode */
  int nMaxCell;                 /* Maximum number of cells for pNode */

  nMaxCell = (pRtree->iNodeSize-4)/pRtree->nBytesPerCell;
  nCell = NCELL(pNode);

................................................................................

  return (nCell==nMaxCell);
}

/*
** If the node is dirty, write it out to the database.
*/

static int nodeWrite(Rtree *pRtree, RtreeNode *pNode){
  int rc = SQLITE_OK;
  if( pNode->isDirty ){
    sqlite3_stmt *p = pRtree->pWriteNode;
    if( pNode->iNode ){
      sqlite3_bind_int64(p, 1, pNode->iNode);
    }else{
      sqlite3_bind_null(p, 1);
................................................................................
  return rc;
}

/*
** Release a reference to a node. If the node is dirty and the reference
** count drops to zero, the node data is written to the database.
*/

static int nodeRelease(Rtree *pRtree, RtreeNode *pNode){
  int rc = SQLITE_OK;
  if( pNode ){
    assert( pNode->nRef>0 );
    pNode->nRef--;
    if( pNode->nRef==0 ){
      if( pNode->iNode==1 ){
        pRtree->iDepth = -1;
................................................................................

/*
** Return the 64-bit integer value associated with cell iCell of
** node pNode. If pNode is a leaf node, this is a rowid. If it is
** an internal node, then the 64-bit integer is a child page number.
*/
static i64 nodeGetRowid(
  Rtree *pRtree,       /* The overall R-Tree */
  RtreeNode *pNode,    /* The node from which to extract the ID */
  int iCell            /* The cell index from which to extract the ID */
){
  assert( iCell<NCELL(pNode) );
  return readInt64(&pNode->zData[4 + pRtree->nBytesPerCell*iCell]);
}

/*
** Return coordinate iCoord from cell iCell in node pNode.
*/
static void nodeGetCoord(
  Rtree *pRtree,               /* The overall R-Tree */
  RtreeNode *pNode,            /* The node from which to extract a coordinate */
  int iCell,                   /* The index of the cell within the node */
  int iCoord,                  /* Which coordinate to extract */
  RtreeCoord *pCoord           /* OUT: Space to write result to */
){
  readCoord(&pNode->zData[12 + pRtree->nBytesPerCell*iCell + 4*iCoord], pCoord);
}

/*
** Deserialize cell iCell of node pNode. Populate the structure pointed
** to by pCell with the results.
*/
static void nodeGetCell(
  Rtree *pRtree,               /* The overall R-Tree */
  RtreeNode *pNode,            /* The node containing the cell to be read */
  int iCell,                   /* Index of the cell within the node */
  RtreeCell *pCell             /* OUT: Write the cell contents here */
){
  u8 *pData;
  u8 *pEnd;
  RtreeCoord *pCoord;
  pCell->iRowid = nodeGetRowid(pRtree, pNode, iCell);
  pData = pNode->zData + (12 + pRtree->nBytesPerCell*iCell);
  pEnd = pData + pRtree->nDim*8;

  pCoord = pCell->aCoord;
  for(; pData<pEnd; pData+=4, pCoord++){
    readCoord(pData, pCoord);
  }
}


/* Forward declaration for the function that does the work of
** the virtual table module xCreate() and xConnect() methods.
*/
................................................................................
/*
** Free the RtreeCursor.aConstraint[] array and its contents.
*/
static void freeCursorConstraints(RtreeCursor *pCsr){
  if( pCsr->aConstraint ){
    int i;                        /* Used to iterate through constraint array */
    for(i=0; i<pCsr->nConstraint; i++){
      sqlite3_rtree_query_info *pInfo = pCsr->aConstraint[i].pInfo;
      if( pInfo ){
        if( pInfo->xDelUser ) pInfo->xDelUser(pInfo->pUser);
        sqlite3_free(pInfo);
      }
    }
    sqlite3_free(pCsr->aConstraint);
    pCsr->aConstraint = 0;
  }
}

/* 
** Rtree virtual table module xClose method.
*/
static int rtreeClose(sqlite3_vtab_cursor *cur){
  Rtree *pRtree = (Rtree *)(cur->pVtab);
  int ii;
  RtreeCursor *pCsr = (RtreeCursor *)cur;
  freeCursorConstraints(pCsr);
  sqlite3_free(pCsr->aPoint);
  for(ii=0; ii<RTREE_CACHE_SZ; ii++) nodeRelease(pRtree, pCsr->aNode[ii]);
  sqlite3_free(pCsr);
  return SQLITE_OK;
}

/*
** Rtree virtual table module xEof method.
**
** Return non-zero if the cursor does not currently point to a valid 
** record (i.e if the scan has finished), or zero otherwise.
*/
static int rtreeEof(sqlite3_vtab_cursor *cur){
  RtreeCursor *pCsr = (RtreeCursor *)cur;

  return pCsr->atEOF;
}

/*

** Convert raw bits from the on-disk RTree record into a coordinate value.
** The on-disk format is big-endian and needs to be converted for little-
** endian platforms.  The on-disk record stores integer coordinates if
** eInt is true and it stores 32-bit floating point records if eInt is
** false.  a[] is the four bytes of the on-disk record to be decoded.
** Store the results in "r".
**
** There are three versions of this macro, one each for little-endian and
** big-endian processors and a third generic implementation.  The endian-
** specific implementations are much faster and are preferred if the
** processor endianness is known at compile-time.  The SQLITE_BYTEORDER
** macro is part of sqliteInt.h and hence the endian-specific
** implementation will only be used if this module is compiled as part
** of the amalgamation.
*/




#if defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==1234
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    memcpy(&c.u,a,4);                                           \




    c.u = ((c.u>>24)&0xff)|((c.u>>8)&0xff00)|                   \
          ((c.u&0xff)<<24)|((c.u&0xff00)<<8);                   \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}


#elif defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==4321
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    memcpy(&c.u,a,4);                                           \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}


#else
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    c.u = ((u32)a[0]<<24) + ((u32)a[1]<<16)                     \
           +((u32)a[2]<<8) + a[3];                              \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}

#endif


/*







** Check the RTree node or entry given by pCellData and p against the MATCH
** constraint pConstraint.  
*/












static int rtreeCallbackConstraint(
  RtreeConstraint *pConstraint,  /* The constraint to test */
  int eInt,                      /* True if RTree holding integer coordinates */
  u8 *pCellData,                 /* Raw cell content */
  RtreeSearchPoint *pSearch,     /* Container of this cell */
  sqlite3_rtree_dbl *prScore,    /* OUT: score for the cell */
  int *peWithin                  /* OUT: visibility of the cell */
){
  int i;                                                /* Loop counter */
  sqlite3_rtree_query_info *pInfo = pConstraint->pInfo; /* Callback info */
  int nCoord = pInfo->nCoord;                           /* No. of coordinates */
  int rc;                                             /* Callback return code */
  sqlite3_rtree_dbl aCoord[RTREE_MAX_DIMENSIONS*2];   /* Decoded coordinates */





  assert( pConstraint->op==RTREE_MATCH || pConstraint->op==RTREE_QUERY );
  assert( nCoord==2 || nCoord==4 || nCoord==6 || nCoord==8 || nCoord==10 );




  if( pConstraint->op==RTREE_QUERY && pSearch->iLevel==1 ){
    pInfo->iRowid = readInt64(pCellData);
  }



  pCellData += 8;
  for(i=0; i<nCoord; i++, pCellData += 4){
    RTREE_DECODE_COORD(eInt, pCellData, aCoord[i]);
  }

  if( pConstraint->op==RTREE_MATCH ){



    rc = pConstraint->u.xGeom((sqlite3_rtree_geometry*)pInfo,
                              nCoord, aCoord, &i);
    if( i==0 ) *peWithin = NOT_WITHIN;
    *prScore = RTREE_ZERO;
  }else{
    pInfo->aCoord = aCoord;
    pInfo->iLevel = pSearch->iLevel - 1;
    pInfo->rScore = pInfo->rParentScore = pSearch->rScore;
    pInfo->eWithin = pInfo->eParentWithin = pSearch->eWithin;
    rc = pConstraint->u.xQueryFunc(pInfo);
    if( pInfo->eWithin<*peWithin ) *peWithin = pInfo->eWithin;
    if( pInfo->rScore<*prScore || *prScore<RTREE_ZERO ){
      *prScore = pInfo->rScore;
    }
  }



  return rc;
}

/* 





** Check the internal RTree node given by pCellData against constraint p.
** If this constraint cannot be satisfied by any child within the node,
** set *peWithin to NOT_WITHIN.
*/




static void rtreeNonleafConstraint(
  RtreeConstraint *p,        /* The constraint to test */
  int eInt,                  /* True if RTree holds integer coordinates */
  u8 *pCellData,             /* Raw cell content as appears on disk */
  int *peWithin              /* Adjust downward, as appropriate */
){
  sqlite3_rtree_dbl val;     /* Coordinate value convert to a double */

  /* p->iCoord might point to either a lower or upper bound coordinate
  ** in a coordinate pair.  But make pCellData point to the lower bound.
  */




  pCellData += 8 + 4*(p->iCoord&0xfe);






  assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
      || p->op==RTREE_GT || p->op==RTREE_EQ );

  switch( p->op ){
    case RTREE_LE:
    case RTREE_LT:


    case RTREE_EQ:







      RTREE_DECODE_COORD(eInt, pCellData, val);
      /* val now holds the lower bound of the coordinate pair */
      if( p->u.rValue>=val ) return;
      if( p->op!=RTREE_EQ ) break;  /* RTREE_LE and RTREE_LT end here */
      /* Fall through for the RTREE_EQ case */




    default: /* RTREE_GT or RTREE_GE,  or fallthrough of RTREE_EQ */
      pCellData += 4;
      RTREE_DECODE_COORD(eInt, pCellData, val);
      /* val now holds the upper bound of the coordinate pair */
      if( p->u.rValue<=val ) return;
  }
  *peWithin = NOT_WITHIN;
}




/*

** Check the leaf RTree cell given by pCellData against constraint p.
** If this constraint is not satisfied, set *peWithin to NOT_WITHIN.
** If the constraint is satisfied, leave *peWithin unchanged.
**
** The constraint is of the form:  xN op $val
**
** The op is given by p->op.  The xN is p->iCoord-th coordinate in
** pCellData.  $val is given by p->u.rValue.
*/





static void rtreeLeafConstraint(
  RtreeConstraint *p,        /* The constraint to test */
  int eInt,                  /* True if RTree holds integer coordinates */
  u8 *pCellData,             /* Raw cell content as appears on disk */
  int *peWithin              /* Adjust downward, as appropriate */
){





  RtreeDValue xN;      /* Coordinate value converted to a double */


  assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 

      || p->op==RTREE_GT || p->op==RTREE_EQ );
  pCellData += 8 + p->iCoord*4;

  RTREE_DECODE_COORD(eInt, pCellData, xN);
  switch( p->op ){
    case RTREE_LE: if( xN <= p->u.rValue ) return;  break;
    case RTREE_LT: if( xN <  p->u.rValue ) return;  break;
    case RTREE_GE: if( xN >= p->u.rValue ) return;  break;

    case RTREE_GT: if( xN >  p->u.rValue ) return;  break;
    default:       if( xN == p->u.rValue ) return;  break;

  }





























  *peWithin = NOT_WITHIN;
}

/*
** One of the cells in node pNode is guaranteed to have a 64-bit 
** integer value equal to iRowid. Return the index of this cell.
*/
static int nodeRowidIndex(
................................................................................
  Rtree *pRtree, 
  RtreeNode *pNode, 
  i64 iRowid,
  int *piIndex
){
  int ii;
  int nCell = NCELL(pNode);
  assert( nCell<200 );
  for(ii=0; ii<nCell; ii++){
    if( nodeGetRowid(pRtree, pNode, ii)==iRowid ){
      *piIndex = ii;
      return SQLITE_OK;
    }
  }
  return SQLITE_CORRUPT_VTAB;
................................................................................
  RtreeNode *pParent = pNode->pParent;
  if( pParent ){
    return nodeRowidIndex(pRtree, pParent, pNode->iNode, piIndex);
  }
  *piIndex = -1;
  return SQLITE_OK;
}

/*
** Compare two search points.  Return negative, zero, or positive if the first
** is less than, equal to, or greater than the second.
**
** The rScore is the primary key.  Smaller rScore values come first.
** If the rScore is a tie, then use iLevel as the tie breaker with smaller
** iLevel values coming first.  In this way, if rScore is the same for all
** SearchPoints, then iLevel becomes the deciding factor and the result
** is a depth-first search, which is the desired default behavior.
*/




static int rtreeSearchPointCompare(
  const RtreeSearchPoint *pA,
  const RtreeSearchPoint *pB
){
  if( pA->rScore<pB->rScore ) return -1;
  if( pA->rScore>pB->rScore ) return +1;
  if( pA->iLevel<pB->iLevel ) return -1;
  if( pA->iLevel>pB->iLevel ) return +1;
  return 0;
}




/*
** Interchange to search points in a cursor.
*/
static void rtreeSearchPointSwap(RtreeCursor *p, int i, int j){
  RtreeSearchPoint t = p->aPoint[i];
  assert( i<j );
  p->aPoint[i] = p->aPoint[j];
  p->aPoint[j] = t;
  i++; j++;
  if( i<RTREE_CACHE_SZ ){
    if( j>=RTREE_CACHE_SZ ){
      nodeRelease(RTREE_OF_CURSOR(p), p->aNode[i]);
      p->aNode[i] = 0;
    }else{
      RtreeNode *pTemp = p->aNode[i];
      p->aNode[i] = p->aNode[j];
      p->aNode[j] = pTemp;
    }
  }
}

/*
** Return the search point with the lowest current score.
*/
static RtreeSearchPoint *rtreeSearchPointFirst(RtreeCursor *pCur){
  return pCur->bPoint ? &pCur->sPoint : pCur->nPoint ? pCur->aPoint : 0;
}

/*
** Get the RtreeNode for the search point with the lowest score.
*/
static RtreeNode *rtreeNodeOfFirstSearchPoint(RtreeCursor *pCur, int *pRC){
  sqlite3_int64 id;
  int ii = 1 - pCur->bPoint;
  assert( ii==0 || ii==1 );
  assert( pCur->bPoint || pCur->nPoint );
  if( pCur->aNode[ii]==0 ){
    assert( pRC!=0 );
    id = ii ? pCur->aPoint[0].id : pCur->sPoint.id;
    *pRC = nodeAcquire(RTREE_OF_CURSOR(pCur), id, 0, &pCur->aNode[ii]);
  }




  return pCur->aNode[ii];
}

/*
** Push a new element onto the priority queue
*/
static RtreeSearchPoint *rtreeEnqueue(
  RtreeCursor *pCur,    /* The cursor */
  RtreeDValue rScore,   /* Score for the new search point */
  u8 iLevel             /* Level for the new search point */
){
  int i, j;
  RtreeSearchPoint *pNew;
  if( pCur->nPoint>=pCur->nPointAlloc ){
    int nNew = pCur->nPointAlloc*2 + 8;
    pNew = sqlite3_realloc(pCur->aPoint, nNew*sizeof(pCur->aPoint[0]));
    if( pNew==0 ) return 0;
    pCur->aPoint = pNew;
    pCur->nPointAlloc = nNew;
  }
  i = pCur->nPoint++;
  pNew = pCur->aPoint + i;
  pNew->rScore = rScore;
  pNew->iLevel = iLevel;
  assert( iLevel>=0 && iLevel<=RTREE_MAX_DEPTH );
  while( i>0 ){
    RtreeSearchPoint *pParent;
    j = (i-1)/2;
    pParent = pCur->aPoint + j;
    if( rtreeSearchPointCompare(pNew, pParent)>=0 ) break;
    rtreeSearchPointSwap(pCur, j, i);
    i = j;
    pNew = pParent;
  }
  return pNew;
}

/*
** Allocate a new RtreeSearchPoint and return a pointer to it.  Return
** NULL if malloc fails.
*/
static RtreeSearchPoint *rtreeSearchPointNew(
  RtreeCursor *pCur,    /* The cursor */
  RtreeDValue rScore,   /* Score for the new search point */
  u8 iLevel             /* Level for the new search point */
){
  RtreeSearchPoint *pNew, *pFirst;
  pFirst = rtreeSearchPointFirst(pCur);
  pCur->anQueue[iLevel]++;
  if( pFirst==0
   || pFirst->rScore>rScore 
   || (pFirst->rScore==rScore && pFirst->iLevel>iLevel)
  ){
    if( pCur->bPoint ){
      int ii;
      pNew = rtreeEnqueue(pCur, rScore, iLevel);
      if( pNew==0 ) return 0;
      ii = (int)(pNew - pCur->aPoint) + 1;
      if( ii<RTREE_CACHE_SZ ){
        assert( pCur->aNode[ii]==0 );
        pCur->aNode[ii] = pCur->aNode[0];
       }else{

        nodeRelease(RTREE_OF_CURSOR(pCur), pCur->aNode[0]);
      }
      pCur->aNode[0] = 0;
      *pNew = pCur->sPoint;
    }
    pCur->sPoint.rScore = rScore;
    pCur->sPoint.iLevel = iLevel;
    pCur->bPoint = 1;
    return &pCur->sPoint;
  }else{
    return rtreeEnqueue(pCur, rScore, iLevel);
  }
}

#if 0
/* Tracing routines for the RtreeSearchPoint queue */
static void tracePoint(RtreeSearchPoint *p, int idx, RtreeCursor *pCur){
  if( idx<0 ){ printf(" s"); }else{ printf("%2d", idx); }
  printf(" %d.%05lld.%02d %g %d",
    p->iLevel, p->id, p->iCell, p->rScore, p->eWithin
  );
  idx++;
  if( idx<RTREE_CACHE_SZ ){
    printf(" %p\n", pCur->aNode[idx]);
  }else{
    printf("\n");
  }
}
static void traceQueue(RtreeCursor *pCur, const char *zPrefix){
  int ii;

  printf("=== %9s ", zPrefix);
  if( pCur->bPoint ){
    tracePoint(&pCur->sPoint, -1, pCur);
  }
  for(ii=0; ii<pCur->nPoint; ii++){
    if( ii>0 || pCur->bPoint ) printf("              ");
    tracePoint(&pCur->aPoint[ii], ii, pCur);
  }
}
# define RTREE_QUEUE_TRACE(A,B) traceQueue(A,B)
#else
# define RTREE_QUEUE_TRACE(A,B)   /* no-op */
#endif

/* Remove the search point with the lowest current score.
*/
static void rtreeSearchPointPop(RtreeCursor *p){
  int i, j, k, n;
  i = 1 - p->bPoint;
  assert( i==0 || i==1 );
  if( p->aNode[i] ){
    nodeRelease(RTREE_OF_CURSOR(p), p->aNode[i]);
    p->aNode[i] = 0;
  }
  if( p->bPoint ){
    p->anQueue[p->sPoint.iLevel]--;
    p->bPoint = 0;
  }else if( p->nPoint ){
    p->anQueue[p->aPoint[0].iLevel]--;
    n = --p->nPoint;
    p->aPoint[0] = p->aPoint[n];
    if( n<RTREE_CACHE_SZ-1 ){
      p->aNode[1] = p->aNode[n+1];
      p->aNode[n+1] = 0;
    }
    i = 0;
    while( (j = i*2+1)<n ){
      k = j+1;
      if( k<n && rtreeSearchPointCompare(&p->aPoint[k], &p->aPoint[j])<0 ){
        if( rtreeSearchPointCompare(&p->aPoint[k], &p->aPoint[i])<0 ){
          rtreeSearchPointSwap(p, i, k);
          i = k;
        }else{
          break;
        }
      }else{
        if( rtreeSearchPointCompare(&p->aPoint[j], &p->aPoint[i])<0 ){
          rtreeSearchPointSwap(p, i, j);
          i = j;
        }else{
          break;
        }
      }
    }
  }
}


/*
** Continue the search on cursor pCur until the front of the queue
** contains an entry suitable for returning as a result-set row,
** or until the RtreeSearchPoint queue is empty, indicating that the
** query has completed.
*/
static int rtreeStepToLeaf(RtreeCursor *pCur){
  RtreeSearchPoint *p;
  Rtree *pRtree = RTREE_OF_CURSOR(pCur);
  RtreeNode *pNode;
  int eWithin;
  int rc = SQLITE_OK;
  int nCell;

  int nConstraint = pCur->nConstraint;
  int ii;


  int eInt;
  RtreeSearchPoint x;

  eInt = pRtree->eCoordType==RTREE_COORD_INT32;
  while( (p = rtreeSearchPointFirst(pCur))!=0 && p->iLevel>0 ){
    pNode = rtreeNodeOfFirstSearchPoint(pCur, &rc);
    if( rc ) return rc;
    nCell = NCELL(pNode);
    assert( nCell<200 );
    while( p->iCell<nCell ){
      sqlite3_rtree_dbl rScore = (sqlite3_rtree_dbl)-1;
      u8 *pCellData = pNode->zData + (4+pRtree->nBytesPerCell*p->iCell);
      eWithin = FULLY_WITHIN;
      for(ii=0; ii<nConstraint; ii++){
        RtreeConstraint *pConstraint = pCur->aConstraint + ii;
        if( pConstraint->op>=RTREE_MATCH ){
          rc = rtreeCallbackConstraint(pConstraint, eInt, pCellData, p,
                                       &rScore, &eWithin);
          if( rc ) return rc;
        }else if( p->iLevel==1 ){
          rtreeLeafConstraint(pConstraint, eInt, pCellData, &eWithin);
        }else{
          rtreeNonleafConstraint(pConstraint, eInt, pCellData, &eWithin);
        }
        if( eWithin==NOT_WITHIN ) break;
      }




      p->iCell++;
      if( eWithin==NOT_WITHIN ) continue;
      x.iLevel = p->iLevel - 1;
      if( x.iLevel ){
        x.id = readInt64(pCellData);
        x.iCell = 0;
      }else{
        x.id = p->id;
        x.iCell = p->iCell - 1;
      }



      if( p->iCell>=nCell ){
        RTREE_QUEUE_TRACE(pCur, "POP-S:");
        rtreeSearchPointPop(pCur);
      }
      if( rScore<RTREE_ZERO ) rScore = RTREE_ZERO;
      p = rtreeSearchPointNew(pCur, rScore, x.iLevel);
      if( p==0 ) return SQLITE_NOMEM;
      p->eWithin = eWithin;
      p->id = x.id;
      p->iCell = x.iCell;
      RTREE_QUEUE_TRACE(pCur, "PUSH-S:");
      break;
    }
    if( p->iCell>=nCell ){
      RTREE_QUEUE_TRACE(pCur, "POP-Se:");
      rtreeSearchPointPop(pCur);
    }
  }
  pCur->atEOF = p==0;
  return SQLITE_OK;
}

/* 
** Rtree virtual table module xNext method.
*/
static int rtreeNext(sqlite3_vtab_cursor *pVtabCursor){
  RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;
  int rc = SQLITE_OK;

  /* Move to the next entry that matches the configured constraints. */
  RTREE_QUEUE_TRACE(pCsr, "POP-Nx:");
  rtreeSearchPointPop(pCsr);
  rc = rtreeStepToLeaf(pCsr);
  return rc;
}

/* 
** Rtree virtual table module xRowid method.
*/
static int rtreeRowid(sqlite3_vtab_cursor *pVtabCursor, sqlite_int64 *pRowid){

  RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;

  RtreeSearchPoint *p = rtreeSearchPointFirst(pCsr);
  int rc = SQLITE_OK;
  RtreeNode *pNode = rtreeNodeOfFirstSearchPoint(pCsr, &rc);
  if( rc==SQLITE_OK && p ){
    *pRowid = nodeGetRowid(RTREE_OF_CURSOR(pCsr), pNode, p->iCell);
  }
  return rc;
}

/* 
** Rtree virtual table module xColumn method.
*/
static int rtreeColumn(sqlite3_vtab_cursor *cur, sqlite3_context *ctx, int i){
  Rtree *pRtree = (Rtree *)cur->pVtab;
  RtreeCursor *pCsr = (RtreeCursor *)cur;
  RtreeSearchPoint *p = rtreeSearchPointFirst(pCsr);
  RtreeCoord c;
  int rc = SQLITE_OK;
  RtreeNode *pNode = rtreeNodeOfFirstSearchPoint(pCsr, &rc);

  if( rc ) return rc;
  if( p==0 ) return SQLITE_OK;
  if( i==0 ){

    sqlite3_result_int64(ctx, nodeGetRowid(pRtree, pNode, p->iCell));
  }else{

    if( rc ) return rc;
    nodeGetCoord(pRtree, pNode, p->iCell, i-1, &c);
#ifndef SQLITE_RTREE_INT_ONLY
    if( pRtree->eCoordType==RTREE_COORD_REAL32 ){
      sqlite3_result_double(ctx, c.f);
    }else
#endif
    {
      assert( pRtree->eCoordType==RTREE_COORD_INT32 );
      sqlite3_result_int(ctx, c.i);
    }
  }

  return SQLITE_OK;
}

/* 
** Use nodeAcquire() to obtain the leaf node containing the record with 
** rowid iRowid. If successful, set *ppLeaf to point to the node and
** return SQLITE_OK. If there is no such record in the table, set
** *ppLeaf to 0 and return SQLITE_OK. If an error occurs, set *ppLeaf
** to zero and return an SQLite error code.
*/
static int findLeafNode(
  Rtree *pRtree,              /* RTree to search */
  i64 iRowid,                 /* The rowid searching for */
  RtreeNode **ppLeaf,         /* Write the node here */
  sqlite3_int64 *piNode       /* Write the node-id here */
){
  int rc;
  *ppLeaf = 0;
  sqlite3_bind_int64(pRtree->pReadRowid, 1, iRowid);
  if( sqlite3_step(pRtree->pReadRowid)==SQLITE_ROW ){
    i64 iNode = sqlite3_column_int64(pRtree->pReadRowid, 0);
    if( piNode ) *piNode = iNode;
    rc = nodeAcquire(pRtree, iNode, 0, ppLeaf);
    sqlite3_reset(pRtree->pReadRowid);
  }else{
    rc = sqlite3_reset(pRtree->pReadRowid);
  }
  return rc;
}
................................................................................
/*
** This function is called to configure the RtreeConstraint object passed
** as the second argument for a MATCH constraint. The value passed as the
** first argument to this function is the right-hand operand to the MATCH
** operator.
*/
static int deserializeGeometry(sqlite3_value *pValue, RtreeConstraint *pCons){
  RtreeMatchArg *pBlob;              /* BLOB returned by geometry function */
  sqlite3_rtree_query_info *pInfo;   /* Callback information */
  int nBlob;                         /* Size of the geometry function blob */
  int nExpected;                     /* Expected size of the BLOB */

  /* Check that value is actually a blob. */
  if( sqlite3_value_type(pValue)!=SQLITE_BLOB ) return SQLITE_ERROR;

  /* Check that the blob is roughly the right size. */
  nBlob = sqlite3_value_bytes(pValue);
  if( nBlob<(int)sizeof(RtreeMatchArg) 
   || ((nBlob-sizeof(RtreeMatchArg))%sizeof(RtreeDValue))!=0
  ){
    return SQLITE_ERROR;
  }

  pInfo = (sqlite3_rtree_query_info*)sqlite3_malloc( sizeof(*pInfo)+nBlob );
  if( !pInfo ) return SQLITE_NOMEM;
  memset(pInfo, 0, sizeof(*pInfo));
  pBlob = (RtreeMatchArg*)&pInfo[1];

  memcpy(pBlob, sqlite3_value_blob(pValue), nBlob);
  nExpected = (int)(sizeof(RtreeMatchArg) +
                    (pBlob->nParam-1)*sizeof(RtreeDValue));
  if( pBlob->magic!=RTREE_GEOMETRY_MAGIC || nBlob!=nExpected ){
    sqlite3_free(pInfo);
    return SQLITE_ERROR;
  }
  pInfo->pContext = pBlob->cb.pContext;
  pInfo->nParam = pBlob->nParam;
  pInfo->aParam = pBlob->aParam;

  if( pBlob->cb.xGeom ){
    pCons->u.xGeom = pBlob->cb.xGeom;
  }else{
    pCons->op = RTREE_QUERY;
    pCons->u.xQueryFunc = pBlob->cb.xQueryFunc;
  }
  pCons->pInfo = pInfo;
  return SQLITE_OK;
}

/* 
** Rtree virtual table module xFilter method.
*/
static int rtreeFilter(
  sqlite3_vtab_cursor *pVtabCursor, 
  int idxNum, const char *idxStr,
  int argc, sqlite3_value **argv
){
  Rtree *pRtree = (Rtree *)pVtabCursor->pVtab;
  RtreeCursor *pCsr = (RtreeCursor *)pVtabCursor;

  RtreeNode *pRoot = 0;
  int ii;
  int rc = SQLITE_OK;
  int iCell = 0;

  rtreeReference(pRtree);

  freeCursorConstraints(pCsr);
  pCsr->iStrategy = idxNum;

  if( idxNum==1 ){
    /* Special case - lookup by rowid. */
    RtreeNode *pLeaf;        /* Leaf on which the required cell resides */
    RtreeSearchPoint *p;     /* Search point for the the leaf */
    i64 iRowid = sqlite3_value_int64(argv[0]);
    i64 iNode = 0;
    rc = findLeafNode(pRtree, iRowid, &pLeaf, &iNode);


    if( rc==SQLITE_OK && pLeaf!=0 ){
      p = rtreeSearchPointNew(pCsr, RTREE_ZERO, 0);
      assert( p!=0 );  /* Always returns pCsr->sPoint */
      pCsr->aNode[0] = pLeaf;
      p->id = iNode;
      p->eWithin = PARTLY_WITHIN;
      rc = nodeRowidIndex(pRtree, pLeaf, iRowid, &iCell);
      p->iCell = iCell;
      RTREE_QUEUE_TRACE(pCsr, "PUSH-F1:");
    }else{
      pCsr->atEOF = 1;
    }
  }else{
    /* Normal case - r-tree scan. Set up the RtreeCursor.aConstraint array 
    ** with the configured constraints. 
    */
    rc = nodeAcquire(pRtree, 1, 0, &pRoot);
    if( rc==SQLITE_OK && argc>0 ){
      pCsr->aConstraint = sqlite3_malloc(sizeof(RtreeConstraint)*argc);
      pCsr->nConstraint = argc;
      if( !pCsr->aConstraint ){
        rc = SQLITE_NOMEM;
      }else{
        memset(pCsr->aConstraint, 0, sizeof(RtreeConstraint)*argc);
        memset(pCsr->anQueue, 0, sizeof(u32)*(pRtree->iDepth + 1));
        assert( (idxStr==0 && argc==0)
                || (idxStr && (int)strlen(idxStr)==argc*2) );
        for(ii=0; ii<argc; ii++){
          RtreeConstraint *p = &pCsr->aConstraint[ii];
          p->op = idxStr[ii*2];
          p->iCoord = idxStr[ii*2+1]-'0';
          if( p->op>=RTREE_MATCH ){
            /* A MATCH operator. The right-hand-side must be a blob that
            ** can be cast into an RtreeMatchArg object. One created using
            ** an sqlite3_rtree_geometry_callback() SQL user function.
            */
            rc = deserializeGeometry(argv[ii], p);
            if( rc!=SQLITE_OK ){
              break;
            }
            p->pInfo->nCoord = pRtree->nDim*2;
            p->pInfo->anQueue = pCsr->anQueue;
            p->pInfo->mxLevel = pRtree->iDepth + 1;
          }else{
#ifdef SQLITE_RTREE_INT_ONLY
            p->u.rValue = sqlite3_value_int64(argv[ii]);
#else
            p->u.rValue = sqlite3_value_double(argv[ii]);
#endif
          }
        }
      }
    }

    if( rc==SQLITE_OK ){



      RtreeSearchPoint *pNew;
      pNew = rtreeSearchPointNew(pCsr, RTREE_ZERO, pRtree->iDepth+1);
      if( pNew==0 ) return SQLITE_NOMEM;
      pNew->id = 1;

      pNew->iCell = 0;
      pNew->eWithin = PARTLY_WITHIN;
      assert( pCsr->bPoint==1 );
      pCsr->aNode[0] = pRoot;







      pRoot = 0;
      RTREE_QUEUE_TRACE(pCsr, "PUSH-Fm:");
      rc = rtreeStepToLeaf(pCsr);
    }

  }


  nodeRelease(pRtree, pRoot);
  rtreeRelease(pRtree);
  return rc;
}

/*
** Set the pIdxInfo->estimatedRows variable to nRow. Unless this
** extension is currently being used by a version of SQLite too old to
................................................................................
        case SQLITE_INDEX_CONSTRAINT_GE: op = RTREE_GE; break;
        default:
          assert( p->op==SQLITE_INDEX_CONSTRAINT_MATCH );
          op = RTREE_MATCH; 
          break;
      }
      zIdxStr[iIdx++] = op;
      zIdxStr[iIdx++] = p->iColumn - 1 + '0';
      pIdxInfo->aConstraintUsage[ii].argvIndex = (iIdx/2);
      pIdxInfo->aConstraintUsage[ii].omit = 1;
    }
  }

  pIdxInfo->idxNum = 2;
  pIdxInfo->needToFreeIdxStr = 1;
................................................................................
  RtreeCell cell;
  memcpy(&cell, p, sizeof(RtreeCell));
  area = cellArea(pRtree, &cell);
  cellUnion(pRtree, &cell, pCell);
  return (cellArea(pRtree, &cell)-area);
}


static RtreeDValue cellOverlap(
  Rtree *pRtree, 
  RtreeCell *p, 
  RtreeCell *aCell, 
  int nCell

){
  int ii;
  RtreeDValue overlap = RTREE_ZERO;
  for(ii=0; ii<nCell; ii++){







    int jj;
    RtreeDValue o = (RtreeDValue)1;
    for(jj=0; jj<(pRtree->nDim*2); jj+=2){
      RtreeDValue x1, x2;

      x1 = MAX(DCOORD(p->aCoord[jj]), DCOORD(aCell[ii].aCoord[jj]));
      x2 = MIN(DCOORD(p->aCoord[jj+1]), DCOORD(aCell[ii].aCoord[jj+1]));

      if( x2<x1 ){

        o = (RtreeDValue)0;
        break;
      }else{
        o = o * (x2-x1);
      }
    }
    overlap += o;

  }
  return overlap;
}




















/*
** This function implements the ChooseLeaf algorithm from Gutman[84].
** ChooseSubTree in r*tree terminology.
*/
static int ChooseLeaf(
................................................................................
  RtreeNode *pNode;
  rc = nodeAcquire(pRtree, 1, 0, &pNode);

  for(ii=0; rc==SQLITE_OK && ii<(pRtree->iDepth-iHeight); ii++){
    int iCell;
    sqlite3_int64 iBest = 0;

    RtreeDValue fMinGrowth = RTREE_ZERO;
    RtreeDValue fMinArea = RTREE_ZERO;





    int nCell = NCELL(pNode);
    RtreeCell cell;
    RtreeNode *pChild;

    RtreeCell *aCell = 0;

















    /* Select the child node which will be enlarged the least if pCell
    ** is inserted into it. Resolve ties by choosing the entry with
    ** the smallest area.
    */
    for(iCell=0; iCell<nCell; iCell++){
      int bBest = 0;
      RtreeDValue growth;
      RtreeDValue area;
      nodeGetCell(pRtree, pNode, iCell, &cell);
      growth = cellGrowth(pRtree, &cell, pCell);
      area = cellArea(pRtree, &cell);
















      if( iCell==0||growth<fMinGrowth||(growth==fMinGrowth && area<fMinArea) ){
        bBest = 1;
      }

      if( bBest ){
        fMinGrowth = growth;
        fMinArea = area;
        iBest = cell.iRowid;
      }
    }

................................................................................
  sqlite3_bind_int64(pRtree->pWriteParent, 2, iPar);
  sqlite3_step(pRtree->pWriteParent);
  return sqlite3_reset(pRtree->pWriteParent);
}

static int rtreeInsertCell(Rtree *, RtreeNode *, RtreeCell *, int);























































































































































/*
** Arguments aIdx, aDistance and aSpare all point to arrays of size
** nIdx. The aIdx array contains the set of integers from 0 to 
** (nIdx-1) in no particular order. This function sorts the values
** in aIdx according to the indexed values in aDistance. For
** example, assuming the inputs:
................................................................................
        assert( xleft1<=xright1 && (xleft1<xright1 || xleft2<=xright2) );
      }
    }
#endif
  }
}


/*
** Implementation of the R*-tree variant of SplitNode from Beckman[1990].
*/
static int splitNodeStartree(
  Rtree *pRtree,
  RtreeCell *aCell,
  int nCell,
................................................................................
){
  int **aaSorted;
  int *aSpare;
  int ii;

  int iBestDim = 0;
  int iBestSplit = 0;
  RtreeDValue fBestMargin = RTREE_ZERO;

  int nByte = (pRtree->nDim+1)*(sizeof(int*)+nCell*sizeof(int));

  aaSorted = (int **)sqlite3_malloc(nByte);
  if( !aaSorted ){
    return SQLITE_NOMEM;
  }
................................................................................
    for(jj=0; jj<nCell; jj++){
      aaSorted[ii][jj] = jj;
    }
    SortByDimension(pRtree, aaSorted[ii], nCell, ii, aCell, aSpare);
  }

  for(ii=0; ii<pRtree->nDim; ii++){
    RtreeDValue margin = RTREE_ZERO;
    RtreeDValue fBestOverlap = RTREE_ZERO;
    RtreeDValue fBestArea = RTREE_ZERO;
    int iBestLeft = 0;
    int nLeft;

    for(
      nLeft=RTREE_MINCELLS(pRtree); 
      nLeft<=(nCell-RTREE_MINCELLS(pRtree)); 
      nLeft++
................................................................................
          cellUnion(pRtree, &left, &aCell[aaSorted[ii][kk]]);
        }else{
          cellUnion(pRtree, &right, &aCell[aaSorted[ii][kk]]);
        }
      }
      margin += cellMargin(pRtree, &left);
      margin += cellMargin(pRtree, &right);
      overlap = cellOverlap(pRtree, &left, &right, 1);
      area = cellArea(pRtree, &left) + cellArea(pRtree, &right);
      if( (nLeft==RTREE_MINCELLS(pRtree))
       || (overlap<fBestOverlap)
       || (overlap==fBestOverlap && area<fBestArea)
      ){
        iBestLeft = nLeft;
        fBestOverlap = overlap;
................................................................................
    nodeInsertCell(pRtree, pTarget, pCell);
    cellUnion(pRtree, pBbox, pCell);
  }

  sqlite3_free(aaSorted);
  return SQLITE_OK;
}


























































static int updateMapping(
  Rtree *pRtree, 
  i64 iRowid, 
  RtreeNode *pNode, 
  int iHeight
){
................................................................................
    rc = SQLITE_NOMEM;
    goto splitnode_out;
  }

  memset(pLeft->zData, 0, pRtree->iNodeSize);
  memset(pRight->zData, 0, pRtree->iNodeSize);

  rc = splitNodeStartree(pRtree, aCell, nCell, pLeft, pRight,
                         &leftbbox, &rightbbox);
  if( rc!=SQLITE_OK ){
    goto splitnode_out;
  }

  /* Ensure both child nodes have node numbers assigned to them by calling
  ** nodeWrite(). Node pRight always needs a node number, as it was created
  ** by nodeNew() above. But node pLeft sometimes already has a node number.
................................................................................
    }
  }
  for(iDim=0; iDim<pRtree->nDim; iDim++){
    aCenterCoord[iDim] = (aCenterCoord[iDim]/(nCell*(RtreeDValue)2));
  }

  for(ii=0; ii<nCell; ii++){
    aDistance[ii] = RTREE_ZERO;
    for(iDim=0; iDim<pRtree->nDim; iDim++){
      RtreeDValue coord = (DCOORD(aCell[ii].aCoord[iDim*2+1]) - 
                               DCOORD(aCell[ii].aCoord[iDim*2]));
      aDistance[ii] += (coord-aCenterCoord[iDim])*(coord-aCenterCoord[iDim]);
    }
  }

................................................................................
    if( pChild ){
      nodeRelease(pRtree, pChild->pParent);
      nodeReference(pNode);
      pChild->pParent = pNode;
    }
  }
  if( nodeInsertCell(pRtree, pNode, pCell) ){

    if( iHeight<=pRtree->iReinsertHeight || pNode->iNode==1){
      rc = SplitNode(pRtree, pNode, pCell, iHeight);
    }else{
      pRtree->iReinsertHeight = iHeight;
      rc = Reinsert(pRtree, pNode, pCell, iHeight);
    }



  }else{
    rc = AdjustTree(pRtree, pNode, pCell);
    if( rc==SQLITE_OK ){
      if( iHeight==0 ){
        rc = rowidWrite(pRtree, pCell->iRowid, pNode->iNode);
      }else{
        rc = parentWrite(pRtree, pCell->iRowid, pNode->iNode);
................................................................................
  /* Obtain a reference to the root node to initialize Rtree.iDepth */
  rc = nodeAcquire(pRtree, 1, 0, &pRoot);

  /* Obtain a reference to the leaf node that contains the entry 
  ** about to be deleted. 
  */
  if( rc==SQLITE_OK ){
    rc = findLeafNode(pRtree, iDelete, &pLeaf, 0);
  }

  /* Delete the cell in question from the leaf node. */
  if( rc==SQLITE_OK ){
    int rc2;
    rc = nodeRowidIndex(pRtree, pLeaf, iDelete, &iCell);
    if( rc==SQLITE_OK ){
................................................................................

  pRtree->db = db;

  if( isCreate ){
    char *zCreate = sqlite3_mprintf(
"CREATE TABLE \"%w\".\"%w_node\"(nodeno INTEGER PRIMARY KEY, data BLOB);"
"CREATE TABLE \"%w\".\"%w_rowid\"(rowid INTEGER PRIMARY KEY, nodeno INTEGER);"
"CREATE TABLE \"%w\".\"%w_parent\"(nodeno INTEGER PRIMARY KEY,"
                                  " parentnode INTEGER);"
"INSERT INTO '%q'.'%q_node' VALUES(1, zeroblob(%d))",
      zDb, zPrefix, zDb, zPrefix, zDb, zPrefix, zDb, zPrefix, pRtree->iNodeSize
    );
    if( !zCreate ){
      return SQLITE_NOMEM;
    }
    rc = sqlite3_exec(db, zCreate, 0, 0, 0);
................................................................................
}


/*
** Implementation of a scalar function that decodes r-tree nodes to
** human readable strings. This can be used for debugging and analysis.
**
** The scalar function takes two arguments: (1) the number of dimensions
** to the rtree (between 1 and 5, inclusive) and (2) a blob of data containing
** an r-tree node.  For a two-dimensional r-tree structure called "rt", to
** deserialize all nodes, a statement like:
**
**   SELECT rtreenode(2, data) FROM rt_node;
**
** The human readable string takes the form of a Tcl list with one
** entry for each cell in the r-tree node. Each entry is itself a
** list, containing the 8-byte rowid/pageno followed by the 
** <num-dimension>*2 coordinates.
................................................................................
    int jj;

    nodeGetCell(&tree, &node, ii, &cell);
    sqlite3_snprintf(512-nCell,&zCell[nCell],"%lld", cell.iRowid);
    nCell = (int)strlen(zCell);
    for(jj=0; jj<tree.nDim*2; jj++){
#ifndef SQLITE_RTREE_INT_ONLY
      sqlite3_snprintf(512-nCell,&zCell[nCell], " %g",
                       (double)cell.aCoord[jj].f);
#else
      sqlite3_snprintf(512-nCell,&zCell[nCell], " %d",
                       cell.aCoord[jj].i);
#endif
      nCell = (int)strlen(zCell);
    }
................................................................................
      zText = sqlite3_mprintf("{%s}", zCell);
    }
  }
  
  sqlite3_result_text(ctx, zText, -1, sqlite3_free);
}

/* This routine implements an SQL function that returns the "depth" parameter
** from the front of a blob that is an r-tree node.  For example:
**
**     SELECT rtreedepth(data) FROM rt_node WHERE nodeno=1;
**
** The depth value is 0 for all nodes other than the root node, and the root
** node always has nodeno=1, so the example above is the primary use for this
** routine.  This routine is intended for testing and analysis only.
*/
static void rtreedepth(sqlite3_context *ctx, int nArg, sqlite3_value **apArg){
  UNUSED_PARAMETER(nArg);
  if( sqlite3_value_type(apArg[0])!=SQLITE_BLOB 
   || sqlite3_value_bytes(apArg[0])<2
  ){
    sqlite3_result_error(ctx, "Invalid argument to rtreedepth()", -1); 
  }else{
................................................................................
    rc = sqlite3_create_module_v2(db, "rtree_i32", &rtreeModule, c, 0);
  }

  return rc;
}

/*
** This routine deletes the RtreeGeomCallback object that was attached
** one of the SQL functions create by sqlite3_rtree_geometry_callback()
** or sqlite3_rtree_query_callback().  In other words, this routine is the
** destructor for an RtreeGeomCallback objecct.  This routine is called when
** the corresponding SQL function is deleted.
*/

static void rtreeFreeCallback(void *p){
  RtreeGeomCallback *pInfo = (RtreeGeomCallback*)p;
  if( pInfo->xDestructor ) pInfo->xDestructor(pInfo->pContext);
  sqlite3_free(p);
}

/*
** Each call to sqlite3_rtree_geometry_callback() or
** sqlite3_rtree_query_callback() creates an ordinary SQLite
** scalar function that is implemented by this routine.
**
** All this function does is construct an RtreeMatchArg object that
** contains the geometry-checking callback routines and a list of
** parameters to this function, then return that RtreeMatchArg object
** as a BLOB.
**
** The R-Tree MATCH operator will read the returned BLOB, deserialize
** the RtreeMatchArg object, and use the RtreeMatchArg object to figure
** out which elements of the R-Tree should be returned by the query.
*/
static void geomCallback(sqlite3_context *ctx, int nArg, sqlite3_value **aArg){
  RtreeGeomCallback *pGeomCtx = (RtreeGeomCallback *)sqlite3_user_data(ctx);
  RtreeMatchArg *pBlob;
  int nBlob;

  nBlob = sizeof(RtreeMatchArg) + (nArg-1)*sizeof(RtreeDValue);
  pBlob = (RtreeMatchArg *)sqlite3_malloc(nBlob);
  if( !pBlob ){
    sqlite3_result_error_nomem(ctx);
  }else{
    int i;
    pBlob->magic = RTREE_GEOMETRY_MAGIC;
    pBlob->cb = pGeomCtx[0];

    pBlob->nParam = nArg;
    for(i=0; i<nArg; i++){
#ifdef SQLITE_RTREE_INT_ONLY
      pBlob->aParam[i] = sqlite3_value_int64(aArg[i]);
#else
      pBlob->aParam[i] = sqlite3_value_double(aArg[i]);
#endif
    }
    sqlite3_result_blob(ctx, pBlob, nBlob, sqlite3_free);
  }
}

/*
** Register a new geometry function for use with the r-tree MATCH operator.
*/
int sqlite3_rtree_geometry_callback(
  sqlite3 *db,                  /* Register SQL function on this connection */
  const char *zGeom,            /* Name of the new SQL function */
  int (*xGeom)(sqlite3_rtree_geometry*,int,RtreeDValue*,int*), /* Callback */
  void *pContext                /* Extra data associated with the callback */
){
  RtreeGeomCallback *pGeomCtx;      /* Context object for new user-function */

  /* Allocate and populate the context object. */
  pGeomCtx = (RtreeGeomCallback *)sqlite3_malloc(sizeof(RtreeGeomCallback));
  if( !pGeomCtx ) return SQLITE_NOMEM;
  pGeomCtx->xGeom = xGeom;
  pGeomCtx->xQueryFunc = 0;
  pGeomCtx->xDestructor = 0;
  pGeomCtx->pContext = pContext;
  return sqlite3_create_function_v2(db, zGeom, -1, SQLITE_ANY, 
      (void *)pGeomCtx, geomCallback, 0, 0, rtreeFreeCallback
  );
}



/*
** Register a new 2nd-generation geometry function for use with the
** r-tree MATCH operator.
*/
int sqlite3_rtree_query_callback(
  sqlite3 *db,                 /* Register SQL function on this connection */
  const char *zQueryFunc,      /* Name of new SQL function */
  int (*xQueryFunc)(sqlite3_rtree_query_info*), /* Callback */
  void *pContext,              /* Extra data passed into the callback */
  void (*xDestructor)(void*)   /* Destructor for the extra data */
){
  RtreeGeomCallback *pGeomCtx;      /* Context object for new user-function */

  /* Allocate and populate the context object. */
  pGeomCtx = (RtreeGeomCallback *)sqlite3_malloc(sizeof(RtreeGeomCallback));
  if( !pGeomCtx ) return SQLITE_NOMEM;
  pGeomCtx->xGeom = 0;
  pGeomCtx->xQueryFunc = xQueryFunc;
  pGeomCtx->xDestructor = xDestructor;
  pGeomCtx->pContext = pContext;
  return sqlite3_create_function_v2(db, zQueryFunc, -1, SQLITE_ANY, 
      (void *)pGeomCtx, geomCallback, 0, 0, rtreeFreeCallback
  );
}

#if !SQLITE_CORE
#ifdef _WIN32
__declspec(dllexport)
#endif

Changes to ext/rtree/rtree1.test.

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  }
  return $out
}

# Test that it is possible to open an existing database that contains
# r-tree tables.
#
do_test rtree-1.4.1 {
  execsql {
    CREATE VIRTUAL TABLE t1 USING rtree(ii, x1, x2);
    INSERT INTO t1 VALUES(1, 5.0, 10.0);



    INSERT INTO t1 VALUES(2, 15.0, 20.0);
  }
} {}
do_test rtree-1.4.2 {
  db close
  sqlite3 db test.db
  execsql_intout { SELECT * FROM t1 ORDER BY ii }
} {1 5 10 2 15 20}
do_test rtree-1.4.3 {
................................................................................
  }
} {2}

#-------------------------------------------------------------------------
# Test on-conflict clause handling.
#
db_delete_and_reopen
do_execsql_test 12.0 {
  CREATE VIRTUAL TABLE t1 USING rtree_i32(idx, x1, x2, y1, y2);
  INSERT INTO t1 VALUES(1,   1, 2, 3, 4);



  INSERT INTO t1 VALUES(2,   2, 3, 4, 5);
  INSERT INTO t1 VALUES(3,   3, 4, 5, 6);

  CREATE TABLE source(idx, x1, x2, y1, y2);
  INSERT INTO source VALUES(5, 8, 8, 8, 8);
  INSERT INTO source VALUES(2, 7, 7, 7, 7);
  
}
db_save_and_close
foreach {tn sql_template testdata} {
  1    "INSERT %CONF% INTO t1 VALUES(2, 7, 7, 7, 7)" {
    ROLLBACK 0 1 {1 1 2 3 4   2 2 3 4 5   3 3 4 5 6}
    ABORT    0 1 {1 1 2 3 4   2 2 3 4 5   3 3 4 5 6   4 4 5 6 7}
    IGNORE   0 0 {1 1 2 3 4   2 2 3 4 5   3 3 4 5 6   4 4 5 6 7}







|
<
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>
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<







 







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>






<







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130
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451
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457
  }
  return $out
}

# Test that it is possible to open an existing database that contains
# r-tree tables.
#
do_execsql_test rtree-1.4.1a {

  CREATE VIRTUAL TABLE t1 USING rtree(ii, x1, x2);
  INSERT INTO t1 VALUES(1, 5.0, 10.0);
  SELECT substr(hex(data),1,40) FROM t1_node;
} {00000001000000000000000140A0000041200000}
do_execsql_test rtree-1.4.1b {
  INSERT INTO t1 VALUES(2, 15.0, 20.0);

} {}
do_test rtree-1.4.2 {
  db close
  sqlite3 db test.db
  execsql_intout { SELECT * FROM t1 ORDER BY ii }
} {1 5 10 2 15 20}
do_test rtree-1.4.3 {
................................................................................
  }
} {2}

#-------------------------------------------------------------------------
# Test on-conflict clause handling.
#
db_delete_and_reopen
do_execsql_test 12.0.1 {
  CREATE VIRTUAL TABLE t1 USING rtree_i32(idx, x1, x2, y1, y2);
  INSERT INTO t1 VALUES(1,   1, 2, 3, 4);
  SELECT substr(hex(data),1,56) FROM t1_node;
} {00000001000000000000000100000001000000020000000300000004}
do_execsql_test 12.0.2 {
  INSERT INTO t1 VALUES(2,   2, 3, 4, 5);
  INSERT INTO t1 VALUES(3,   3, 4, 5, 6);

  CREATE TABLE source(idx, x1, x2, y1, y2);
  INSERT INTO source VALUES(5, 8, 8, 8, 8);
  INSERT INTO source VALUES(2, 7, 7, 7, 7);

}
db_save_and_close
foreach {tn sql_template testdata} {
  1    "INSERT %CONF% INTO t1 VALUES(2, 7, 7, 7, 7)" {
    ROLLBACK 0 1 {1 1 2 3 4   2 2 3 4 5   3 3 4 5 6}
    ABORT    0 1 {1 1 2 3 4   2 2 3 4 5   3 3 4 5 6   4 4 5 6 7}
    IGNORE   0 0 {1 1 2 3 4   2 2 3 4 5   3 3 4 5 6   4 4 5 6 7}

Changes to ext/rtree/rtree6.test.

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    CREATE TABLE t2(k INTEGER PRIMARY KEY, v);
    CREATE VIRTUAL TABLE t1 USING rtree(ii, x1, x2, y1, y2);
  }
} {}

do_test rtree6-1.2 {
  rtree_strategy {SELECT * FROM t1 WHERE x1>10}
} {Ea}

do_test rtree6-1.3 {
  rtree_strategy {SELECT * FROM t1 WHERE x1<10}
} {Ca}

do_test rtree6-1.4 {
  rtree_strategy {SELECT * FROM t1,t2 WHERE k=ii AND x1<10}
} {Ca}

do_test rtree6-1.5 {
  rtree_strategy {SELECT * FROM t1,t2 WHERE k=+ii AND x1<10}
} {Ca}

do_eqp_test rtree6.2.1 {
  SELECT * FROM t1,t2 WHERE k=+ii AND x1<10
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:Ca} 
  0 1 1 {SEARCH TABLE t2 USING INTEGER PRIMARY KEY (rowid=?)}
}

do_eqp_test rtree6.2.2 {
  SELECT * FROM t1,t2 WHERE k=ii AND x1<10
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:Ca} 
  0 1 1 {SEARCH TABLE t2 USING INTEGER PRIMARY KEY (rowid=?)}
}

do_eqp_test rtree6.2.3 {
  SELECT * FROM t1,t2 WHERE k=ii
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:} 
  0 1 1 {SEARCH TABLE t2 USING INTEGER PRIMARY KEY (rowid=?)}
}

do_eqp_test rtree6.2.4 {
  SELECT * FROM t1,t2 WHERE v=10 and x1<10 and x2>10
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:CaEb} 
  0 1 1 {SEARCH TABLE t2 USING AUTOMATIC COVERING INDEX (v=?)}
}

do_eqp_test rtree6.2.5 {
  SELECT * FROM t1,t2 WHERE k=ii AND x1<v
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:} 
................................................................................
  rtree_strategy {
    SELECT * FROM t3 WHERE 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 
  }
} {EaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEa}
do_test rtree6.3.3 {
  rtree_strategy {
    SELECT * FROM t3 WHERE 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5
  }
} {EaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEaEa}

do_execsql_test rtree6-3.4 {
  SELECT * FROM t3 WHERE x1>0.5 AND x1>0.8 AND x1>1.1
} {}
do_execsql_test rtree6-3.5 {
  SELECT * FROM t3 WHERE 
    x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 







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    CREATE TABLE t2(k INTEGER PRIMARY KEY, v);
    CREATE VIRTUAL TABLE t1 USING rtree(ii, x1, x2, y1, y2);
  }
} {}

do_test rtree6-1.2 {
  rtree_strategy {SELECT * FROM t1 WHERE x1>10}
} {E0}

do_test rtree6-1.3 {
  rtree_strategy {SELECT * FROM t1 WHERE x1<10}
} {C0}

do_test rtree6-1.4 {
  rtree_strategy {SELECT * FROM t1,t2 WHERE k=ii AND x1<10}
} {C0}

do_test rtree6-1.5 {
  rtree_strategy {SELECT * FROM t1,t2 WHERE k=+ii AND x1<10}
} {C0}

do_eqp_test rtree6.2.1 {
  SELECT * FROM t1,t2 WHERE k=+ii AND x1<10
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:C0} 
  0 1 1 {SEARCH TABLE t2 USING INTEGER PRIMARY KEY (rowid=?)}
}

do_eqp_test rtree6.2.2 {
  SELECT * FROM t1,t2 WHERE k=ii AND x1<10
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:C0} 
  0 1 1 {SEARCH TABLE t2 USING INTEGER PRIMARY KEY (rowid=?)}
}

do_eqp_test rtree6.2.3 {
  SELECT * FROM t1,t2 WHERE k=ii
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:} 
  0 1 1 {SEARCH TABLE t2 USING INTEGER PRIMARY KEY (rowid=?)}
}

do_eqp_test rtree6.2.4 {
  SELECT * FROM t1,t2 WHERE v=10 and x1<10 and x2>10
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:C0E1} 
  0 1 1 {SEARCH TABLE t2 USING AUTOMATIC COVERING INDEX (v=?)}
}

do_eqp_test rtree6.2.5 {
  SELECT * FROM t1,t2 WHERE k=ii AND x1<v
} {
  0 0 0 {SCAN TABLE t1 VIRTUAL TABLE INDEX 2:} 
................................................................................
  rtree_strategy {
    SELECT * FROM t3 WHERE 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 
  }
} {E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0}
do_test rtree6.3.3 {
  rtree_strategy {
    SELECT * FROM t3 WHERE 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 
      x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5
  }
} {E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0}

do_execsql_test rtree6-3.4 {
  SELECT * FROM t3 WHERE x1>0.5 AND x1>0.8 AND x1>1.1
} {}
do_execsql_test rtree6-3.5 {
  SELECT * FROM t3 WHERE 
    x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND x1>0.5 AND 

Changes to ext/rtree/rtreeB.test.

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      INSERT INTO t1 VALUES(1073741824, 0.0, 0.0, 100.0, 100.0);
      INSERT INTO t1 VALUES(2147483646, 0.0, 0.0, 200.0, 200.0);
      INSERT INTO t1 VALUES(4294967296, 0.0, 0.0, 300.0, 300.0);
      INSERT INTO t1 VALUES(8589934592, 20.0, 20.0, 150.0, 150.0);
      INSERT INTO t1 VALUES(9223372036854775807, 150, 150, 400, 400);
      SELECT rtreenode(2, data) FROM t1_node;
    }
  } {{{1073741824 0.000000 0.000000 100.000000 100.000000} {2147483646 0.000000 0.000000 200.000000 200.000000} {4294967296 0.000000 0.000000 300.000000 300.000000} {8589934592 20.000000 20.000000 150.000000 150.000000} {9223372036854775807 150.000000 150.000000 400.000000 400.000000}}}
}

finish_test







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      INSERT INTO t1 VALUES(1073741824, 0.0, 0.0, 100.0, 100.0);
      INSERT INTO t1 VALUES(2147483646, 0.0, 0.0, 200.0, 200.0);
      INSERT INTO t1 VALUES(4294967296, 0.0, 0.0, 300.0, 300.0);
      INSERT INTO t1 VALUES(8589934592, 20.0, 20.0, 150.0, 150.0);
      INSERT INTO t1 VALUES(9223372036854775807, 150, 150, 400, 400);
      SELECT rtreenode(2, data) FROM t1_node;
    }
  } {{{1073741824 0 0 100 100} {2147483646 0 0 200 200} {4294967296 0 0 300 300} {8589934592 20 20 150 150} {9223372036854775807 150 150 400 400}}}
}

finish_test

Changes to ext/rtree/rtreeC.test.

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}

do_eqp_test 1.1 {
  SELECT * FROM r_tree, t 
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 1 {SCAN TABLE t}
  0 1 0 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:DdBcDbBa}
}

do_eqp_test 1.2 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:DdBcDbBa}
}

do_eqp_test 1.3 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND ?<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:DdBcDbBa}
}

do_eqp_test 1.5 {
  SELECT * FROM t, r_tree
} {
  0 0 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:}
  0 1 0 {SCAN TABLE t} 
................................................................................
sqlite3 db test.db

do_eqp_test 2.1 {
  SELECT * FROM r_tree, t 
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 1 {SCAN TABLE t}
  0 1 0 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:DdBcDbBa}
}

do_eqp_test 2.2 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:DdBcDbBa}
}

do_eqp_test 2.3 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND ?<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:DdBcDbBa}
}

do_eqp_test 2.5 {
  SELECT * FROM t, r_tree
} {
  0 0 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:}
  0 1 0 {SCAN TABLE t} 
................................................................................
    execsql { SELECT * FROM rt }
  } {1 2.0 3.0}
  db close
}


finish_test








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}

do_eqp_test 1.1 {
  SELECT * FROM r_tree, t 
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 1 {SCAN TABLE t}
  0 1 0 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:D3B2D1B0}
}

do_eqp_test 1.2 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:D3B2D1B0}
}

do_eqp_test 1.3 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND ?<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:D3B2D1B0}
}

do_eqp_test 1.5 {
  SELECT * FROM t, r_tree
} {
  0 0 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:}
  0 1 0 {SCAN TABLE t} 
................................................................................
sqlite3 db test.db

do_eqp_test 2.1 {
  SELECT * FROM r_tree, t 
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 1 {SCAN TABLE t}
  0 1 0 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:D3B2D1B0}
}

do_eqp_test 2.2 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND t.x<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:D3B2D1B0}
}

do_eqp_test 2.3 {
  SELECT * FROM t, r_tree
  WHERE t.x>=min_x AND t.x<=max_x AND t.y>=min_y AND ?<=max_y
} {
  0 0 0 {SCAN TABLE t}
  0 1 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:D3B2D1B0}
}

do_eqp_test 2.5 {
  SELECT * FROM t, r_tree
} {
  0 0 1 {SCAN TABLE r_tree VIRTUAL TABLE INDEX 2:}
  0 1 0 {SCAN TABLE t} 
................................................................................
    execsql { SELECT * FROM rt }
  } {1 2.0 3.0}
  db close
}


finish_test

Added ext/rtree/rtreeE.test.



































































































































































































































































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# 2010 August 28
#
# 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.
#
#***********************************************************************
# This file contains tests for the r-tree module. Specifically, it tests
# that new-style custom r-tree queries (geometry callbacks) work.
# 

if {![info exists testdir]} {
  set testdir [file join [file dirname [info script]] .. .. test]
} 
source $testdir/tester.tcl
ifcapable !rtree { finish_test ; return }
ifcapable rtree_int_only { finish_test; return }


#-------------------------------------------------------------------------
# Test the example 2d "circle" geometry callback.
#
register_circle_geom db

do_execsql_test rtreeE-1.1 {
  PRAGMA page_size=512;
  CREATE VIRTUAL TABLE rt1 USING rtree(id,x0,x1,y0,y1);
  
  /* A tight pattern of small boxes near 0,0 */
  WITH RECURSIVE
    x(x) AS (VALUES(0) UNION ALL SELECT x+1 FROM x WHERE x<4),
    y(y) AS (VALUES(0) UNION ALL SELECT y+1 FROM y WHERE y<4)
  INSERT INTO rt1 SELECT x+5*y, x, x+2, y, y+2 FROM x, y;

  /* A looser pattern of small boxes near 100, 0 */
  WITH RECURSIVE
    x(x) AS (VALUES(0) UNION ALL SELECT x+1 FROM x WHERE x<4),
    y(y) AS (VALUES(0) UNION ALL SELECT y+1 FROM y WHERE y<4)
  INSERT INTO rt1 SELECT 100+x+5*y, x*3+100, x*3+102, y*3, y*3+2 FROM x, y;

  /* A looser pattern of larger boxes near 0, 200 */
  WITH RECURSIVE
    x(x) AS (VALUES(0) UNION ALL SELECT x+1 FROM x WHERE x<4),
    y(y) AS (VALUES(0) UNION ALL SELECT y+1 FROM y WHERE y<4)
  INSERT INTO rt1 SELECT 200+x+5*y, x*7, x*7+15, y*7+200, y*7+215 FROM x, y;
} {}

# Queries against each of the three clusters */
do_execsql_test rtreeE-1.1 {
  SELECT id FROM rt1 WHERE id MATCH Qcircle(0.0, 0.0, 50.0, 3) ORDER BY id;
} {0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24}
do_execsql_test rtreeE-1.2 {
  SELECT id FROM rt1 WHERE id MATCH Qcircle(100.0, 0.0, 50.0, 3) ORDER BY id;
} {100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124}
do_execsql_test rtreeE-1.3 {
  SELECT id FROM rt1 WHERE id MATCH Qcircle(0.0, 200.0, 50.0, 3) ORDER BY id;
} {200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224}

# The Qcircle geometry function gives a lower score to larger leaf-nodes.
# This causes the 200s to sort before the 100s and the 0s to sort before
# last.
#
do_execsql_test rtreeE-1.4 {
  SELECT id FROM rt1 WHERE id MATCH Qcircle(0,0,1000,3) AND id%100==0
} {200 100 0}

# Exclude odd rowids on a depth-first search
do_execsql_test rtreeE-1.5 {
  SELECT id FROM rt1 WHERE id MATCH Qcircle(0,0,1000,4) ORDER BY +id
} {0 2 4 6 8 10 12 14 16 18 20 22 24 100 102 104 106 108 110 112 114 116 118 120 122 124 200 202 204 206 208 210 212 214 216 218 220 222 224}

# Exclude odd rowids on a breadth-first search.
do_execsql_test rtreeE-1.6 {
  SELECT id FROM rt1 WHERE id MATCH Qcircle(0,0,1000,5) ORDER BY +id
} {0 2 4 6 8 10 12 14 16 18 20 22 24 100 102 104 106 108 110 112 114 116 118 120 122 124 200 202 204 206 208 210 212 214 216 218 220 222 224}

# Construct a large 2-D RTree with thousands of random entries.
#
do_test rtreeE-2.1 {
  db eval {
    CREATE TABLE t2(id,x0,x1,y0,y1);
    CREATE VIRTUAL TABLE rt2 USING rtree(id,x0,x1,y0,y1);
    BEGIN;
  }
  expr srand(0)
  for {set i 1} {$i<=10000} {incr i} {
    set dx [expr {int(rand()*40)+1}]
    set dy [expr {int(rand()*40)+1}]
    set x0 [expr {int(rand()*(10000 - $dx))}]
    set x1 [expr {$x0+$dx}]
    set y0 [expr {int(rand()*(10000 - $dy))}]
    set y1 [expr {$y0+$dy}]
    set id [expr {$i+10000}]
    db eval {INSERT INTO t2 VALUES($id,$x0,$x1,$y0,$y1)}
  }
  db eval {
    INSERT INTO rt2 SELECT * FROM t2;
    COMMIT;
  }
} {}

for {set i 1} {$i<=200} {incr i} {
  set dx [expr {int(rand()*100)}]
  set dy [expr {int(rand()*100)}]
  set x0 [expr {int(rand()*(10000 - $dx))}]
  set x1 [expr {$x0+$dx}]
  set y0 [expr {int(rand()*(10000 - $dy))}]
  set y1 [expr {$y0+$dy}]
  set ans [db eval {SELECT id FROM t2 WHERE x1>=$x0 AND x0<=$x1 AND y1>=$y0 AND y0<=$y1 ORDER BY id}]
  do_execsql_test rtreeE-2.2.$i {
    SELECT id FROM rt2 WHERE id MATCH breadthfirstsearch($x0,$x1,$y0,$y1) ORDER BY id
  } $ans
}

# Run query that have very deep priority queues
#
set ans [db eval {SELECT id FROM t2 WHERE x1>=0 AND x0<=5000 AND y1>=0 AND y0<=5000 ORDER BY id}]
do_execsql_test rtreeE-2.3 {
  SELECT id FROM rt2 WHERE id MATCH breadthfirstsearch(0,5000,0,5000) ORDER BY id
} $ans
set ans [db eval {SELECT id FROM t2 WHERE x1>=0 AND x0<=10000 AND y1>=0 AND y0<=10000 ORDER BY id}]
do_execsql_test rtreeE-2.4 {
  SELECT id FROM rt2 WHERE id MATCH breadthfirstsearch(0,10000,0,10000) ORDER BY id
} $ans

finish_test

Changes to ext/rtree/sqlite3rtree.h.

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#include <sqlite3.h>

#ifdef __cplusplus
extern "C" {
#endif

typedef struct sqlite3_rtree_geometry sqlite3_rtree_geometry;











/*
** Register a geometry callback named zGeom that can be used as part of an
** R-Tree geometry query as follows:
**
**   SELECT ... FROM <rtree> WHERE <rtree col> MATCH $zGeom(... params ...)
*/
int sqlite3_rtree_geometry_callback(
  sqlite3 *db,
  const char *zGeom,
#ifdef SQLITE_RTREE_INT_ONLY
  int (*xGeom)(sqlite3_rtree_geometry*, int n, sqlite3_int64 *a, int *pRes),
#else
  int (*xGeom)(sqlite3_rtree_geometry*, int n, double *a, int *pRes),
#endif
  void *pContext
);


/*
** A pointer to a structure of the following type is passed as the first
** argument to callbacks registered using rtree_geometry_callback().
*/
struct sqlite3_rtree_geometry {
  void *pContext;                 /* Copy of pContext passed to s_r_g_c() */
  int nParam;                     /* Size of array aParam[] */
  double *aParam;                 /* Parameters passed to SQL geom function */
  void *pUser;                    /* Callback implementation user data */
  void (*xDelUser)(void *);       /* Called by SQLite to clean up pUser */
};



















































#ifdef __cplusplus
}  /* end of the 'extern "C"' block */
#endif

#endif  /* ifndef _SQLITE3RTREE_H_ */







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>





17
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44

45
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#include <sqlite3.h>

#ifdef __cplusplus
extern "C" {
#endif

typedef struct sqlite3_rtree_geometry sqlite3_rtree_geometry;
typedef struct sqlite3_rtree_query_info sqlite3_rtree_query_info;

/* The double-precision datatype used by RTree depends on the
** SQLITE_RTREE_INT_ONLY compile-time option.
*/
#ifdef SQLITE_RTREE_INT_ONLY
  typedef sqlite3_int64 sqlite3_rtree_dbl;
#else
  typedef double sqlite3_rtree_dbl;
#endif

/*
** Register a geometry callback named zGeom that can be used as part of an
** R-Tree geometry query as follows:
**
**   SELECT ... FROM <rtree> WHERE <rtree col> MATCH $zGeom(... params ...)
*/
int sqlite3_rtree_geometry_callback(
  sqlite3 *db,
  const char *zGeom,



  int (*xGeom)(sqlite3_rtree_geometry*, int, sqlite3_rtree_dbl*,int*),

  void *pContext
);


/*
** A pointer to a structure of the following type is passed as the first
** argument to callbacks registered using rtree_geometry_callback().
*/
struct sqlite3_rtree_geometry {
  void *pContext;                 /* Copy of pContext passed to s_r_g_c() */
  int nParam;                     /* Size of array aParam[] */
  sqlite3_rtree_dbl *aParam;      /* Parameters passed to SQL geom function */
  void *pUser;                    /* Callback implementation user data */
  void (*xDelUser)(void *);       /* Called by SQLite to clean up pUser */
};

/*
** Register a 2nd-generation geometry callback named zScore that can be 
** used as part of an R-Tree geometry query as follows:
**
**   SELECT ... FROM <rtree> WHERE <rtree col> MATCH $zQueryFunc(... params ...)
*/
int sqlite3_rtree_query_callback(
  sqlite3 *db,
  const char *zQueryFunc,
  int (*xQueryFunc)(sqlite3_rtree_query_info*),
  void *pContext,
  void (*xDestructor)(void*)
);


/*
** A pointer to a structure of the following type is passed as the 
** argument to scored geometry callback registered using
** sqlite3_rtree_query_callback().
**
** Note that the first 5 fields of this structure are identical to
** sqlite3_rtree_geometry.  This structure is a subclass of
** sqlite3_rtree_geometry.
*/
struct sqlite3_rtree_query_info {
  void *pContext;                   /* pContext from when function registered */
  int nParam;                       /* Number of function parameters */
  sqlite3_rtree_dbl *aParam;        /* value of function parameters */
  void *pUser;                      /* callback can use this, if desired */
  void (*xDelUser)(void*);          /* function to free pUser */
  sqlite3_rtree_dbl *aCoord;        /* Coordinates of node or entry to check */
  unsigned int *anQueue;            /* Number of pending entries in the queue */
  int nCoord;                       /* Number of coordinates */
  int iLevel;                       /* Level of current node or entry */
  int mxLevel;                      /* The largest iLevel value in the tree */
  sqlite3_int64 iRowid;             /* Rowid for current entry */
  sqlite3_rtree_dbl rParentScore;   /* Score of parent node */
  int eParentWithin;                /* Visibility of parent node */
  int eWithin;                      /* OUT: Visiblity */
  sqlite3_rtree_dbl rScore;         /* OUT: Write the score here */
};

/*
** Allowed values for sqlite3_rtree_query.eWithin and .eParentWithin.
*/
#define NOT_WITHIN       0   /* Object completely outside of query region */
#define PARTLY_WITHIN    1   /* Object partially overlaps query region */
#define FULLY_WITHIN     2   /* Object fully contained within query region */


#ifdef __cplusplus
}  /* end of the 'extern "C"' block */
#endif

#endif  /* ifndef _SQLITE3RTREE_H_ */

Changes to main.mk.

472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
parse.c:	$(TOP)/src/parse.y lemon $(TOP)/addopcodes.awk
	cp $(TOP)/src/parse.y .
	rm -f parse.h
	./lemon $(OPTS) parse.y
	mv parse.h parse.h.temp
	$(NAWK) -f $(TOP)/addopcodes.awk parse.h.temp >parse.h

sqlite3.h:	$(TOP)/src/sqlite.h.in $(TOP)/manifest.uuid $(TOP)/VERSION
	tclsh $(TOP)/tool/mksqlite3h.tcl $(TOP) >sqlite3.h

keywordhash.h:	$(TOP)/tool/mkkeywordhash.c
	$(BCC) -o mkkeywordhash $(OPTS) $(TOP)/tool/mkkeywordhash.c
	./mkkeywordhash >keywordhash.h









|







472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
parse.c:	$(TOP)/src/parse.y lemon $(TOP)/addopcodes.awk
	cp $(TOP)/src/parse.y .
	rm -f parse.h
	./lemon $(OPTS) parse.y
	mv parse.h parse.h.temp
	$(NAWK) -f $(TOP)/addopcodes.awk parse.h.temp >parse.h

sqlite3.h:	$(TOP)/src/sqlite.h.in $(TOP)/manifest.uuid $(TOP)/VERSION $(TOP)/ext/rtree/sqlite3rtree.h
	tclsh $(TOP)/tool/mksqlite3h.tcl $(TOP) >sqlite3.h

keywordhash.h:	$(TOP)/tool/mkkeywordhash.c
	$(BCC) -o mkkeywordhash $(OPTS) $(TOP)/tool/mkkeywordhash.c
	./mkkeywordhash >keywordhash.h


Changes to src/analyze.c.

1367
1368
1369
1370
1371
1372
1373

1374
1375
1376
1377
1378
1379
1380
....
1385
1386
1387
1388
1389
1390
1391


1392








1393
1394
1395
1396
1397
1398
1399
....
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
....
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
** list of space separated integers. Read the first nOut of these into
** the array aOut[].
*/
static void decodeIntArray(
  char *zIntArray,       /* String containing int array to decode */
  int nOut,              /* Number of slots in aOut[] */
  tRowcnt *aOut,         /* Store integers here */

  Index *pIndex          /* Handle extra flags for this index, if not NULL */
){
  char *z = zIntArray;
  int c;
  int i;
  tRowcnt v;

................................................................................
#endif
  for(i=0; *z && i<nOut; i++){
    v = 0;
    while( (c=z[0])>='0' && c<='9' ){
      v = v*10 + c - '0';
      z++;
    }


    aOut[i] = v;








    if( *z==' ' ) z++;
  }
#ifndef SQLITE_ENABLE_STAT3_OR_STAT4
  assert( pIndex!=0 );
#else
  if( pIndex )
#endif
................................................................................
    pIndex = sqlite3PrimaryKeyIndex(pTable);
  }else{
    pIndex = sqlite3FindIndex(pInfo->db, argv[1], pInfo->zDatabase);
  }
  z = argv[2];

  if( pIndex ){
    decodeIntArray((char*)z, pIndex->nKeyCol+1, pIndex->aiRowEst, pIndex);
    if( pIndex->pPartIdxWhere==0 ) pTable->nRowEst = pIndex->aiRowEst[0];
  }else{
    Index fakeIdx;
    fakeIdx.szIdxRow = pTable->szTabRow;
    decodeIntArray((char*)z, 1, &pTable->nRowEst, &fakeIdx);
    pTable->szTabRow = fakeIdx.szIdxRow;
  }

  return 0;
}

/*
................................................................................
    nCol = pIdx->nSampleCol;
    if( bStat3 && nCol>1 ) continue;
    if( pIdx!=pPrevIdx ){
      initAvgEq(pPrevIdx);
      pPrevIdx = pIdx;
    }
    pSample = &pIdx->aSample[pIdx->nSample];
    decodeIntArray((char*)sqlite3_column_text(pStmt,1), nCol, pSample->anEq, 0);
    decodeIntArray((char*)sqlite3_column_text(pStmt,2), nCol, pSample->anLt, 0);
    decodeIntArray((char*)sqlite3_column_text(pStmt,3), nCol, pSample->anDLt,0);

    /* Take a copy of the sample. Add two 0x00 bytes the end of the buffer.
    ** This is in case the sample record is corrupted. In that case, the
    ** sqlite3VdbeRecordCompare() may read up to two varints past the
    ** end of the allocated buffer before it realizes it is dealing with
    ** a corrupt record. Adding the two 0x00 bytes prevents this from causing
    ** a buffer overread.  */







>







 







>
>
|
>
>
>
>
>
>
>
>







 







|
|



|







 







|
|
|







1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
....
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
....
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
....
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
** list of space separated integers. Read the first nOut of these into
** the array aOut[].
*/
static void decodeIntArray(
  char *zIntArray,       /* String containing int array to decode */
  int nOut,              /* Number of slots in aOut[] */
  tRowcnt *aOut,         /* Store integers here */
  LogEst *aLog,          /* Or, if aOut==0, here */
  Index *pIndex          /* Handle extra flags for this index, if not NULL */
){
  char *z = zIntArray;
  int c;
  int i;
  tRowcnt v;

................................................................................
#endif
  for(i=0; *z && i<nOut; i++){
    v = 0;
    while( (c=z[0])>='0' && c<='9' ){
      v = v*10 + c - '0';
      z++;
    }
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    if( aOut ){
      aOut[i] = v;
    }else
#else
    assert( aOut==0 );
    UNUSED_PARAMETER(aOut);
#endif
    {
      aLog[i] = sqlite3LogEst(v);
    }
    if( *z==' ' ) z++;
  }
#ifndef SQLITE_ENABLE_STAT3_OR_STAT4
  assert( pIndex!=0 );
#else
  if( pIndex )
#endif
................................................................................
    pIndex = sqlite3PrimaryKeyIndex(pTable);
  }else{
    pIndex = sqlite3FindIndex(pInfo->db, argv[1], pInfo->zDatabase);
  }
  z = argv[2];

  if( pIndex ){
    decodeIntArray((char*)z, pIndex->nKeyCol+1, 0, pIndex->aiRowLogEst, pIndex);
    if( pIndex->pPartIdxWhere==0 ) pTable->nRowLogEst = pIndex->aiRowLogEst[0];
  }else{
    Index fakeIdx;
    fakeIdx.szIdxRow = pTable->szTabRow;
    decodeIntArray((char*)z, 1, 0, &pTable->nRowLogEst, &fakeIdx);
    pTable->szTabRow = fakeIdx.szIdxRow;
  }

  return 0;
}

/*
................................................................................
    nCol = pIdx->nSampleCol;
    if( bStat3 && nCol>1 ) continue;
    if( pIdx!=pPrevIdx ){
      initAvgEq(pPrevIdx);
      pPrevIdx = pIdx;
    }
    pSample = &pIdx->aSample[pIdx->nSample];
    decodeIntArray((char*)sqlite3_column_text(pStmt,1),nCol,pSample->anEq,0,0);
    decodeIntArray((char*)sqlite3_column_text(pStmt,2),nCol,pSample->anLt,0,0);
    decodeIntArray((char*)sqlite3_column_text(pStmt,3),nCol,pSample->anDLt,0,0);

    /* Take a copy of the sample. Add two 0x00 bytes the end of the buffer.
    ** This is in case the sample record is corrupted. In that case, the
    ** sqlite3VdbeRecordCompare() may read up to two varints past the
    ** end of the allocated buffer before it realizes it is dealing with
    ** a corrupt record. Adding the two 0x00 bytes prevents this from causing
    ** a buffer overread.  */

Changes to src/build.c.

901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
....
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
....
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
....
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262


3263

3264
3265
3266




3267
3268
3269





3270
3271
3272

3273
3274
3275
3276


3277
3278
3279
3280
3281
3282
3283
    pParse->nErr++;
    goto begin_table_error;
  }
  pTable->zName = zName;
  pTable->iPKey = -1;
  pTable->pSchema = db->aDb[iDb].pSchema;
  pTable->nRef = 1;
  pTable->nRowEst = 1048576;
  assert( pParse->pNewTable==0 );
  pParse->pNewTable = pTable;

  /* If this is the magic sqlite_sequence table used by autoincrement,
  ** then record a pointer to this table in the main database structure
  ** so that INSERT can find the table easily.
  */
................................................................................
  char **ppExtra       /* Pointer to the "extra" space */
){
  Index *p;            /* Allocated index object */
  int nByte;           /* Bytes of space for Index object + arrays */

  nByte = ROUND8(sizeof(Index)) +              /* Index structure  */
          ROUND8(sizeof(char*)*nCol) +         /* Index.azColl     */
          ROUND8(sizeof(tRowcnt)*(nCol+1) +    /* Index.aiRowEst   */
                 sizeof(i16)*nCol +            /* Index.aiColumn   */
                 sizeof(u8)*nCol);             /* Index.aSortOrder */
  p = sqlite3DbMallocZero(db, nByte + nExtra);
  if( p ){
    char *pExtra = ((char*)p)+ROUND8(sizeof(Index));
    p->azColl = (char**)pExtra;      pExtra += ROUND8(sizeof(char*)*nCol);
    p->aiRowEst = (tRowcnt*)pExtra;  pExtra += sizeof(tRowcnt)*(nCol+1);
    p->aiColumn = (i16*)pExtra;      pExtra += sizeof(i16)*nCol;
    p->aSortOrder = (u8*)pExtra;
    p->nColumn = nCol;
    p->nKeyCol = nCol - 1;
    *ppExtra = ((char*)p) + nByte;
  }
  return p;
}
................................................................................
  nName = sqlite3Strlen30(zName);
  nExtraCol = pPk ? pPk->nKeyCol : 1;
  pIndex = sqlite3AllocateIndexObject(db, pList->nExpr + nExtraCol,
                                      nName + nExtra + 1, &zExtra);
  if( db->mallocFailed ){
    goto exit_create_index;
  }
  assert( EIGHT_BYTE_ALIGNMENT(pIndex->aiRowEst) );
  assert( EIGHT_BYTE_ALIGNMENT(pIndex->azColl) );
  pIndex->zName = zExtra;
  zExtra += nName + 1;
  memcpy(pIndex->zName, zName, nName+1);
  pIndex->pTable = pTab;
  pIndex->onError = (u8)onError;
  pIndex->uniqNotNull = onError!=OE_None;
................................................................................
** Fill the Index.aiRowEst[] array with default information - information
** to be used when we have not run the ANALYZE command.
**
** aiRowEst[0] is suppose to contain the number of elements in the index.
** Since we do not know, guess 1 million.  aiRowEst[1] is an estimate of the
** number of rows in the table that match any particular value of the
** first column of the index.  aiRowEst[2] is an estimate of the number
** of rows that match any particular combiniation of the first 2 columns
** of the index.  And so forth.  It must always be the case that
*
**           aiRowEst[N]<=aiRowEst[N-1]
**           aiRowEst[N]>=1
**
** Apart from that, we have little to go on besides intuition as to
** how aiRowEst[] should be initialized.  The numbers generated here
** are based on typical values found in actual indices.
*/
void sqlite3DefaultRowEst(Index *pIdx){


  tRowcnt *a = pIdx->aiRowEst;

  int i;
  tRowcnt n;
  assert( a!=0 );




  a[0] = pIdx->pTable->nRowEst;
  if( a[0]<10 ) a[0] = 10;
  n = 10;





  for(i=1; i<=pIdx->nKeyCol; i++){
    a[i] = n;
    if( n>5 ) n--;

  }
  if( pIdx->onError!=OE_None ){
    a[pIdx->nKeyCol] = 1;
  }


}

/*
** This routine will drop an existing named index.  This routine
** implements the DROP INDEX statement.
*/
void sqlite3DropIndex(Parse *pParse, SrcList *pName, int ifExists){







|







 







|





|
|
|







 







|







 







|










>
>
|
>

<
<
>
>
>
>
|
<
<
>
>
>
>
>
|
<
<
>

<
<
|
>
>







901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
....
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
....
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
....
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267


3268
3269
3270
3271
3272


3273
3274
3275
3276
3277
3278


3279
3280


3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
    pParse->nErr++;
    goto begin_table_error;
  }
  pTable->zName = zName;
  pTable->iPKey = -1;
  pTable->pSchema = db->aDb[iDb].pSchema;
  pTable->nRef = 1;
  pTable->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
  assert( pParse->pNewTable==0 );
  pParse->pNewTable = pTable;

  /* If this is the magic sqlite_sequence table used by autoincrement,
  ** then record a pointer to this table in the main database structure
  ** so that INSERT can find the table easily.
  */
................................................................................
  char **ppExtra       /* Pointer to the "extra" space */
){
  Index *p;            /* Allocated index object */
  int nByte;           /* Bytes of space for Index object + arrays */

  nByte = ROUND8(sizeof(Index)) +              /* Index structure  */
          ROUND8(sizeof(char*)*nCol) +         /* Index.azColl     */
          ROUND8(sizeof(LogEst)*(nCol+1) +     /* Index.aiRowLogEst   */
                 sizeof(i16)*nCol +            /* Index.aiColumn   */
                 sizeof(u8)*nCol);             /* Index.aSortOrder */
  p = sqlite3DbMallocZero(db, nByte + nExtra);
  if( p ){
    char *pExtra = ((char*)p)+ROUND8(sizeof(Index));
    p->azColl = (char**)pExtra;       pExtra += ROUND8(sizeof(char*)*nCol);
    p->aiRowLogEst = (LogEst*)pExtra; pExtra += sizeof(LogEst)*(nCol+1);
    p->aiColumn = (i16*)pExtra;       pExtra += sizeof(i16)*nCol;
    p->aSortOrder = (u8*)pExtra;
    p->nColumn = nCol;
    p->nKeyCol = nCol - 1;
    *ppExtra = ((char*)p) + nByte;
  }
  return p;
}
................................................................................
  nName = sqlite3Strlen30(zName);
  nExtraCol = pPk ? pPk->nKeyCol : 1;
  pIndex = sqlite3AllocateIndexObject(db, pList->nExpr + nExtraCol,
                                      nName + nExtra + 1, &zExtra);
  if( db->mallocFailed ){
    goto exit_create_index;
  }
  assert( EIGHT_BYTE_ALIGNMENT(pIndex->aiRowLogEst) );
  assert( EIGHT_BYTE_ALIGNMENT(pIndex->azColl) );
  pIndex->zName = zExtra;
  zExtra += nName + 1;
  memcpy(pIndex->zName, zName, nName+1);
  pIndex->pTable = pTab;
  pIndex->onError = (u8)onError;
  pIndex->uniqNotNull = onError!=OE_None;
................................................................................
** Fill the Index.aiRowEst[] array with default information - information
** to be used when we have not run the ANALYZE command.
**
** aiRowEst[0] is suppose to contain the number of elements in the index.
** Since we do not know, guess 1 million.  aiRowEst[1] is an estimate of the
** number of rows in the table that match any particular value of the
** first column of the index.  aiRowEst[2] is an estimate of the number
** of rows that match any particular combination of the first 2 columns
** of the index.  And so forth.  It must always be the case that
*
**           aiRowEst[N]<=aiRowEst[N-1]
**           aiRowEst[N]>=1
**
** Apart from that, we have little to go on besides intuition as to
** how aiRowEst[] should be initialized.  The numbers generated here
** are based on typical values found in actual indices.
*/
void sqlite3DefaultRowEst(Index *pIdx){
  /*                10,  9,  8,  7,  6 */
  LogEst aVal[] = { 33, 32, 30, 28, 26 };
  LogEst *a = pIdx->aiRowLogEst;
  int nCopy = MIN(ArraySize(aVal), pIdx->nKeyCol);
  int i;



  /* Set the first entry (number of rows in the index) to the estimated 
  ** number of rows in the table. Or 10, if the estimated number of rows 
  ** in the table is less than that.  */
  a[0] = pIdx->pTable->nRowLogEst;


  if( a[0]<33 ) a[0] = 33;        assert( 33==sqlite3LogEst(10) );

  /* Estimate that a[1] is 10, a[2] is 9, a[3] is 8, a[4] is 7, a[5] is
  ** 6 and each subsequent value (if any) is 5.  */
  memcpy(&a[1], aVal, nCopy*sizeof(LogEst));
  for(i=nCopy+1; i<=pIdx->nKeyCol; i++){


    a[i] = 23;                    assert( 23==sqlite3LogEst(5) );
  }



  assert( 0==sqlite3LogEst(1) );
  if( pIdx->onError!=OE_None ) a[pIdx->nKeyCol] = 0;
}

/*
** This routine will drop an existing named index.  This routine
** implements the DROP INDEX statement.
*/
void sqlite3DropIndex(Parse *pParse, SrcList *pName, int ifExists){

Changes to src/insert.c.

1861
1862
1863
1864
1865
1866
1867
1868


1869
1870
1871
1872
1873
1874

1875







1876
1877
1878
1879
1880
1881
1882
  if( pDest->nCol!=pSrc->nCol ){
    return 0;   /* Number of columns must be the same in tab1 and tab2 */
  }
  if( pDest->iPKey!=pSrc->iPKey ){
    return 0;   /* Both tables must have the same INTEGER PRIMARY KEY */
  }
  for(i=0; i<pDest->nCol; i++){
    if( pDest->aCol[i].affinity!=pSrc->aCol[i].affinity ){


      return 0;    /* Affinity must be the same on all columns */
    }
    if( !xferCompatibleCollation(pDest->aCol[i].zColl, pSrc->aCol[i].zColl) ){
      return 0;    /* Collating sequence must be the same on all columns */
    }
    if( pDest->aCol[i].notNull && !pSrc->aCol[i].notNull ){

      return 0;    /* tab2 must be NOT NULL if tab1 is */







    }
  }
  for(pDestIdx=pDest->pIndex; pDestIdx; pDestIdx=pDestIdx->pNext){
    if( pDestIdx->onError!=OE_None ){
      destHasUniqueIdx = 1;
    }
    for(pSrcIdx=pSrc->pIndex; pSrcIdx; pSrcIdx=pSrcIdx->pNext){







|
>
>


|


<
>

>
>
>
>
>
>
>







1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875

1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
  if( pDest->nCol!=pSrc->nCol ){
    return 0;   /* Number of columns must be the same in tab1 and tab2 */
  }
  if( pDest->iPKey!=pSrc->iPKey ){
    return 0;   /* Both tables must have the same INTEGER PRIMARY KEY */
  }
  for(i=0; i<pDest->nCol; i++){
    Column *pDestCol = &pDest->aCol[i];
    Column *pSrcCol = &pSrc->aCol[i];
    if( pDestCol->affinity!=pSrcCol->affinity ){
      return 0;    /* Affinity must be the same on all columns */
    }
    if( !xferCompatibleCollation(pDestCol->zColl, pSrcCol->zColl) ){
      return 0;    /* Collating sequence must be the same on all columns */
    }

    if( pDestCol->notNull && !pSrcCol->notNull ){
      return 0;    /* tab2 must be NOT NULL if tab1 is */
    }
    /* Default values for second and subsequent columns need to match. */
    if( i>0
     && ((pDestCol->zDflt==0)!=(pSrcCol->zDflt==0) 
         || (pDestCol->zDflt && strcmp(pDestCol->zDflt, pSrcCol->zDflt)!=0))
    ){
      return 0;    /* Default values must be the same for all columns */
    }
  }
  for(pDestIdx=pDest->pIndex; pDestIdx; pDestIdx=pDestIdx->pNext){
    if( pDestIdx->onError!=OE_None ){
      destHasUniqueIdx = 1;
    }
    for(pSrcIdx=pSrc->pIndex; pSrcIdx; pSrcIdx=pSrcIdx->pNext){

Changes to src/pragma.c.

1484
1485
1486
1487
1488
1489
1490
1491

1492
1493
1494
1495
1496
1497

1498
1499
1500
1501
1502
1503
1504
    sqlite3VdbeSetColName(v, 3, COLNAME_NAME, "height", SQLITE_STATIC);
    for(i=sqliteHashFirst(&pDb->pSchema->tblHash); i; i=sqliteHashNext(i)){
      Table *pTab = sqliteHashData(i);
      sqlite3VdbeAddOp4(v, OP_String8, 0, 1, 0, pTab->zName, 0);
      sqlite3VdbeAddOp2(v, OP_Null, 0, 2);
      sqlite3VdbeAddOp2(v, OP_Integer,
                           (int)sqlite3LogEstToInt(pTab->szTabRow), 3);
      sqlite3VdbeAddOp2(v, OP_Integer, (int)pTab->nRowEst, 4);

      sqlite3VdbeAddOp2(v, OP_ResultRow, 1, 4);
      for(pIdx=pTab->pIndex; pIdx; pIdx=pIdx->pNext){
        sqlite3VdbeAddOp4(v, OP_String8, 0, 2, 0, pIdx->zName, 0);
        sqlite3VdbeAddOp2(v, OP_Integer,
                             (int)sqlite3LogEstToInt(pIdx->szIdxRow), 3);
        sqlite3VdbeAddOp2(v, OP_Integer, (int)pIdx->aiRowEst[0], 4);

        sqlite3VdbeAddOp2(v, OP_ResultRow, 1, 4);
      }
    }
  }
  break;

  case PragTyp_INDEX_INFO: if( zRight ){







|
>





|
>







1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
    sqlite3VdbeSetColName(v, 3, COLNAME_NAME, "height", SQLITE_STATIC);
    for(i=sqliteHashFirst(&pDb->pSchema->tblHash); i; i=sqliteHashNext(i)){
      Table *pTab = sqliteHashData(i);
      sqlite3VdbeAddOp4(v, OP_String8, 0, 1, 0, pTab->zName, 0);
      sqlite3VdbeAddOp2(v, OP_Null, 0, 2);
      sqlite3VdbeAddOp2(v, OP_Integer,
                           (int)sqlite3LogEstToInt(pTab->szTabRow), 3);
      sqlite3VdbeAddOp2(v, OP_Integer, 
          (int)sqlite3LogEstToInt(pTab->nRowLogEst), 4);
      sqlite3VdbeAddOp2(v, OP_ResultRow, 1, 4);
      for(pIdx=pTab->pIndex; pIdx; pIdx=pIdx->pNext){
        sqlite3VdbeAddOp4(v, OP_String8, 0, 2, 0, pIdx->zName, 0);
        sqlite3VdbeAddOp2(v, OP_Integer,
                             (int)sqlite3LogEstToInt(pIdx->szIdxRow), 3);
        sqlite3VdbeAddOp2(v, OP_Integer, 
            (int)sqlite3LogEstToInt(pIdx->aiRowLogEst[0]), 4);
        sqlite3VdbeAddOp2(v, OP_ResultRow, 1, 4);
      }
    }
  }
  break;

  case PragTyp_INDEX_INFO: if( zRight ){

Changes to src/select.c.

467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483

484
485
486
487
488
489
490
...
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
...
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
....
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
....
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
....
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
....
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
....
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
  int nPrefixReg         /* No. of reg prior to regData available for use */
){
  Vdbe *v = pParse->pVdbe;                         /* Stmt under construction */
  int bSeq = ((pSort->sortFlags & SORTFLAG_UseSorter)==0);
  int nExpr = pSort->pOrderBy->nExpr;              /* No. of ORDER BY terms */
  int nBase = nExpr + bSeq + nData;                /* Fields in sorter record */
  int regBase;                                     /* Regs for sorter record */
  int regRecord = sqlite3GetTempReg(pParse);       /* Assembled sorter record */
  int nOBSat = pSort->nOBSat;                      /* ORDER BY terms to skip */
  int op;                            /* Opcode to add sorter record to sorter */

  assert( bSeq==0 || bSeq==1 );
  if( nPrefixReg ){
    assert( nPrefixReg==nExpr+bSeq );
    regBase = regData - nExpr - bSeq;
  }else{
    regBase = sqlite3GetTempRange(pParse, nBase);

  }
  sqlite3ExprCodeExprList(pParse, pSort->pOrderBy, regBase, SQLITE_ECEL_DUP);
  if( bSeq ){
    sqlite3VdbeAddOp2(v, OP_Sequence, pSort->iECursor, regBase+nExpr);
  }
  if( nPrefixReg==0 ){
    sqlite3VdbeAddOp3(v, OP_Move, regData, regBase+nExpr+bSeq, nData);
................................................................................
    }else{
      addrFirst = sqlite3VdbeAddOp1(v, OP_SequenceTest, pSort->iECursor);
    }
    VdbeCoverage(v);
    sqlite3VdbeAddOp3(v, OP_Compare, regPrevKey, regBase, pSort->nOBSat);
    pOp = sqlite3VdbeGetOp(v, pSort->addrSortIndex);
    if( pParse->db->mallocFailed ) return;
    pOp->p2 = nKey + 1;
    pKI = pOp->p4.pKeyInfo;
    memset(pKI->aSortOrder, 0, pKI->nField); /* Makes OP_Jump below testable */
    sqlite3VdbeChangeP4(v, -1, (char*)pKI, P4_KEYINFO);
    pOp->p4.pKeyInfo = keyInfoFromExprList(pParse, pSort->pOrderBy, nOBSat, 1);
    addrJmp = sqlite3VdbeCurrentAddr(v);
    sqlite3VdbeAddOp3(v, OP_Jump, addrJmp+1, 0, addrJmp+1); VdbeCoverage(v);
    pSort->labelBkOut = sqlite3VdbeMakeLabel(v);
................................................................................
  }
  if( pSort->sortFlags & SORTFLAG_UseSorter ){
    op = OP_SorterInsert;
  }else{
    op = OP_IdxInsert;
  }
  sqlite3VdbeAddOp2(v, op, pSort->iECursor, regRecord);
  if( nOBSat==0 ){
    sqlite3ReleaseTempReg(pParse, regRecord);
    if( nPrefixReg==0 ){
      sqlite3ReleaseTempRange(pParse, regBase, nBase);
    }
  }
  if( pSelect->iLimit ){
    int addr1, addr2;
    int iLimit;
    if( pSelect->iOffset ){
      iLimit = pSelect->iOffset+1;
    }else{
      iLimit = pSelect->iLimit;
................................................................................
    return 0;
  }
  /* The sqlite3ResultSetOfSelect() is only used n contexts where lookaside
  ** is disabled */
  assert( db->lookaside.bEnabled==0 );
  pTab->nRef = 1;
  pTab->zName = 0;
  pTab->nRowEst = 1048576;
  selectColumnsFromExprList(pParse, pSelect->pEList, &pTab->nCol, &pTab->aCol);
  selectAddColumnTypeAndCollation(pParse, pTab, pSelect);
  pTab->iPKey = -1;
  if( db->mallocFailed ){
    sqlite3DeleteTable(db, pTab);
    return 0;
  }
................................................................................

    assert( pFrom->pTab==0 );
    pFrom->pTab = pTab = sqlite3DbMallocZero(db, sizeof(Table));
    if( pTab==0 ) return WRC_Abort;
    pTab->nRef = 1;
    pTab->zName = sqlite3DbStrDup(db, pCte->zName);
    pTab->iPKey = -1;
    pTab->nRowEst = 1048576;
    pTab->tabFlags |= TF_Ephemeral;
    pFrom->pSelect = sqlite3SelectDup(db, pCte->pSelect, 0);
    if( db->mallocFailed ) return SQLITE_NOMEM;
    assert( pFrom->pSelect );

    /* Check if this is a recursive CTE. */
    pSel = pFrom->pSelect;
................................................................................
      pFrom->pTab = pTab = sqlite3DbMallocZero(db, sizeof(Table));
      if( pTab==0 ) return WRC_Abort;
      pTab->nRef = 1;
      pTab->zName = sqlite3MPrintf(db, "sqlite_sq_%p", (void*)pTab);
      while( pSel->pPrior ){ pSel = pSel->pPrior; }
      selectColumnsFromExprList(pParse, pSel->pEList, &pTab->nCol, &pTab->aCol);
      pTab->iPKey = -1;
      pTab->nRowEst = 1048576;
      pTab->tabFlags |= TF_Ephemeral;
#endif
    }else{
      /* An ordinary table or view name in the FROM clause */
      assert( pFrom->pTab==0 );
      pFrom->pTab = pTab = sqlite3LocateTableItem(pParse, 0, pFrom);
      if( pTab==0 ) return WRC_Abort;
................................................................................
      pItem->regReturn = ++pParse->nMem;
      sqlite3VdbeAddOp3(v, OP_InitCoroutine, pItem->regReturn, 0, addrTop);
      VdbeComment((v, "%s", pItem->pTab->zName));
      pItem->addrFillSub = addrTop;
      sqlite3SelectDestInit(&dest, SRT_Coroutine, pItem->regReturn);
      explainSetInteger(pItem->iSelectId, (u8)pParse->iNextSelectId);
      sqlite3Select(pParse, pSub, &dest);
      pItem->pTab->nRowEst = (unsigned)pSub->nSelectRow;
      pItem->viaCoroutine = 1;
      pItem->regResult = dest.iSdst;
      sqlite3VdbeAddOp1(v, OP_EndCoroutine, pItem->regReturn);
      sqlite3VdbeJumpHere(v, addrTop-1);
      sqlite3ClearTempRegCache(pParse);
    }else{
      /* Generate a subroutine that will fill an ephemeral table with
................................................................................
        VdbeComment((v, "materialize \"%s\"", pItem->pTab->zName));
      }else{
        VdbeNoopComment((v, "materialize \"%s\"", pItem->pTab->zName));
      }
      sqlite3SelectDestInit(&dest, SRT_EphemTab, pItem->iCursor);
      explainSetInteger(pItem->iSelectId, (u8)pParse->iNextSelectId);
      sqlite3Select(pParse, pSub, &dest);
      pItem->pTab->nRowEst = (unsigned)pSub->nSelectRow;
      if( onceAddr ) sqlite3VdbeJumpHere(v, onceAddr);
      retAddr = sqlite3VdbeAddOp1(v, OP_Return, pItem->regReturn);
      VdbeComment((v, "end %s", pItem->pTab->zName));
      sqlite3VdbeChangeP1(v, topAddr, retAddr);
      sqlite3ClearTempRegCache(pParse);
    }
    if( /*pParse->nErr ||*/ db->mallocFailed ){







|








|
>







 







|







 







<
<
<
<
<
<







 







|







 







|







 







|







 







|







 







|







467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
...
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
...
529
530
531
532
533
534
535






536
537
538
539
540
541
542
....
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
....
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
....
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
....
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
....
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
  int nPrefixReg         /* No. of reg prior to regData available for use */
){
  Vdbe *v = pParse->pVdbe;                         /* Stmt under construction */
  int bSeq = ((pSort->sortFlags & SORTFLAG_UseSorter)==0);
  int nExpr = pSort->pOrderBy->nExpr;              /* No. of ORDER BY terms */
  int nBase = nExpr + bSeq + nData;                /* Fields in sorter record */
  int regBase;                                     /* Regs for sorter record */
  int regRecord = ++pParse->nMem;                  /* Assembled sorter record */
  int nOBSat = pSort->nOBSat;                      /* ORDER BY terms to skip */
  int op;                            /* Opcode to add sorter record to sorter */

  assert( bSeq==0 || bSeq==1 );
  if( nPrefixReg ){
    assert( nPrefixReg==nExpr+bSeq );
    regBase = regData - nExpr - bSeq;
  }else{
    regBase = pParse->nMem + 1;
    pParse->nMem += nBase;
  }
  sqlite3ExprCodeExprList(pParse, pSort->pOrderBy, regBase, SQLITE_ECEL_DUP);
  if( bSeq ){
    sqlite3VdbeAddOp2(v, OP_Sequence, pSort->iECursor, regBase+nExpr);
  }
  if( nPrefixReg==0 ){
    sqlite3VdbeAddOp3(v, OP_Move, regData, regBase+nExpr+bSeq, nData);
................................................................................
    }else{
      addrFirst = sqlite3VdbeAddOp1(v, OP_SequenceTest, pSort->iECursor);
    }
    VdbeCoverage(v);
    sqlite3VdbeAddOp3(v, OP_Compare, regPrevKey, regBase, pSort->nOBSat);
    pOp = sqlite3VdbeGetOp(v, pSort->addrSortIndex);
    if( pParse->db->mallocFailed ) return;
    pOp->p2 = nKey + nData;
    pKI = pOp->p4.pKeyInfo;
    memset(pKI->aSortOrder, 0, pKI->nField); /* Makes OP_Jump below testable */
    sqlite3VdbeChangeP4(v, -1, (char*)pKI, P4_KEYINFO);
    pOp->p4.pKeyInfo = keyInfoFromExprList(pParse, pSort->pOrderBy, nOBSat, 1);
    addrJmp = sqlite3VdbeCurrentAddr(v);
    sqlite3VdbeAddOp3(v, OP_Jump, addrJmp+1, 0, addrJmp+1); VdbeCoverage(v);
    pSort->labelBkOut = sqlite3VdbeMakeLabel(v);
................................................................................
  }
  if( pSort->sortFlags & SORTFLAG_UseSorter ){
    op = OP_SorterInsert;
  }else{
    op = OP_IdxInsert;
  }
  sqlite3VdbeAddOp2(v, op, pSort->iECursor, regRecord);






  if( pSelect->iLimit ){
    int addr1, addr2;
    int iLimit;
    if( pSelect->iOffset ){
      iLimit = pSelect->iOffset+1;
    }else{
      iLimit = pSelect->iLimit;
................................................................................
    return 0;
  }
  /* The sqlite3ResultSetOfSelect() is only used n contexts where lookaside
  ** is disabled */
  assert( db->lookaside.bEnabled==0 );
  pTab->nRef = 1;
  pTab->zName = 0;
  pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
  selectColumnsFromExprList(pParse, pSelect->pEList, &pTab->nCol, &pTab->aCol);
  selectAddColumnTypeAndCollation(pParse, pTab, pSelect);
  pTab->iPKey = -1;
  if( db->mallocFailed ){
    sqlite3DeleteTable(db, pTab);
    return 0;
  }
................................................................................

    assert( pFrom->pTab==0 );
    pFrom->pTab = pTab = sqlite3DbMallocZero(db, sizeof(Table));
    if( pTab==0 ) return WRC_Abort;
    pTab->nRef = 1;
    pTab->zName = sqlite3DbStrDup(db, pCte->zName);
    pTab->iPKey = -1;
    pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
    pTab->tabFlags |= TF_Ephemeral;
    pFrom->pSelect = sqlite3SelectDup(db, pCte->pSelect, 0);
    if( db->mallocFailed ) return SQLITE_NOMEM;
    assert( pFrom->pSelect );

    /* Check if this is a recursive CTE. */
    pSel = pFrom->pSelect;
................................................................................
      pFrom->pTab = pTab = sqlite3DbMallocZero(db, sizeof(Table));
      if( pTab==0 ) return WRC_Abort;
      pTab->nRef = 1;
      pTab->zName = sqlite3MPrintf(db, "sqlite_sq_%p", (void*)pTab);
      while( pSel->pPrior ){ pSel = pSel->pPrior; }
      selectColumnsFromExprList(pParse, pSel->pEList, &pTab->nCol, &pTab->aCol);
      pTab->iPKey = -1;
      pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
      pTab->tabFlags |= TF_Ephemeral;
#endif
    }else{
      /* An ordinary table or view name in the FROM clause */
      assert( pFrom->pTab==0 );
      pFrom->pTab = pTab = sqlite3LocateTableItem(pParse, 0, pFrom);
      if( pTab==0 ) return WRC_Abort;
................................................................................
      pItem->regReturn = ++pParse->nMem;
      sqlite3VdbeAddOp3(v, OP_InitCoroutine, pItem->regReturn, 0, addrTop);
      VdbeComment((v, "%s", pItem->pTab->zName));
      pItem->addrFillSub = addrTop;
      sqlite3SelectDestInit(&dest, SRT_Coroutine, pItem->regReturn);
      explainSetInteger(pItem->iSelectId, (u8)pParse->iNextSelectId);
      sqlite3Select(pParse, pSub, &dest);
      pItem->pTab->nRowLogEst = sqlite3LogEst(pSub->nSelectRow);
      pItem->viaCoroutine = 1;
      pItem->regResult = dest.iSdst;
      sqlite3VdbeAddOp1(v, OP_EndCoroutine, pItem->regReturn);
      sqlite3VdbeJumpHere(v, addrTop-1);
      sqlite3ClearTempRegCache(pParse);
    }else{
      /* Generate a subroutine that will fill an ephemeral table with
................................................................................
        VdbeComment((v, "materialize \"%s\"", pItem->pTab->zName));
      }else{
        VdbeNoopComment((v, "materialize \"%s\"", pItem->pTab->zName));
      }
      sqlite3SelectDestInit(&dest, SRT_EphemTab, pItem->iCursor);
      explainSetInteger(pItem->iSelectId, (u8)pParse->iNextSelectId);
      sqlite3Select(pParse, pSub, &dest);
      pItem->pTab->nRowLogEst = sqlite3LogEst(pSub->nSelectRow);
      if( onceAddr ) sqlite3VdbeJumpHere(v, onceAddr);
      retAddr = sqlite3VdbeAddOp1(v, OP_Return, pItem->regReturn);
      VdbeComment((v, "end %s", pItem->pTab->zName));
      sqlite3VdbeChangeP1(v, topAddr, retAddr);
      sqlite3ClearTempRegCache(pParse);
    }
    if( /*pParse->nErr ||*/ db->mallocFailed ){

Changes to src/sqliteInt.h.

521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
....
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
....
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690

/*
** Estimated quantities used for query planning are stored as 16-bit
** logarithms.  For quantity X, the value stored is 10*log2(X).  This
** gives a possible range of values of approximately 1.0e986 to 1e-986.
** But the allowed values are "grainy".  Not every value is representable.
** For example, quantities 16 and 17 are both represented by a LogEst
** of 40.  However, since LogEst quantatites are suppose to be estimates,
** not exact values, this imprecision is not a problem.
**
** "LogEst" is short for "Logarithimic Estimate".
**
** Examples:
**      1 -> 0              20 -> 43          10000 -> 132
**      2 -> 10             25 -> 46          25000 -> 146
**      3 -> 16            100 -> 66        1000000 -> 199
**      4 -> 20           1000 -> 99        1048576 -> 200
**     10 -> 33           1024 -> 100    4294967296 -> 320
................................................................................
  Index *pIndex;       /* List of SQL indexes on this table. */
  Select *pSelect;     /* NULL for tables.  Points to definition if a view. */
  FKey *pFKey;         /* Linked list of all foreign keys in this table */
  char *zColAff;       /* String defining the affinity of each column */
#ifndef SQLITE_OMIT_CHECK
  ExprList *pCheck;    /* All CHECK constraints */
#endif
  tRowcnt nRowEst;     /* Estimated rows in table - from sqlite_stat1 table */
  int tnum;            /* Root BTree node for this table (see note above) */
  i16 iPKey;           /* If not negative, use aCol[iPKey] as the primary key */
  i16 nCol;            /* Number of columns in this table */
  u16 nRef;            /* Number of pointers to this Table */
  LogEst szTabRow;     /* Estimated size of each table row in bytes */
  u8 tabFlags;         /* Mask of TF_* values */
  u8 keyConf;          /* What to do in case of uniqueness conflict on iPKey */
................................................................................
** and the value of Index.onError indicate the which conflict resolution 
** algorithm to employ whenever an attempt is made to insert a non-unique
** element.
*/
struct Index {
  char *zName;             /* Name of this index */
  i16 *aiColumn;           /* Which columns are used by this index.  1st is 0 */
  tRowcnt *aiRowEst;       /* From ANALYZE: Est. rows selected by each column */
  Table *pTable;           /* The SQL table being indexed */
  char *zColAff;           /* String defining the affinity of each column */
  Index *pNext;            /* The next index associated with the same table */
  Schema *pSchema;         /* Schema containing this index */
  u8 *aSortOrder;          /* for each column: True==DESC, False==ASC */
  char **azColl;           /* Array of collation sequence names for index */
  Expr *pPartIdxWhere;     /* WHERE clause for partial indices */







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/*
** Estimated quantities used for query planning are stored as 16-bit
** logarithms.  For quantity X, the value stored is 10*log2(X).  This
** gives a possible range of values of approximately 1.0e986 to 1e-986.
** But the allowed values are "grainy".  Not every value is representable.
** For example, quantities 16 and 17 are both represented by a LogEst
** of 40.  However, since LogEst quantaties are suppose to be estimates,
** not exact values, this imprecision is not a problem.
**
** "LogEst" is short for "Logarithmic Estimate".
**
** Examples:
**      1 -> 0              20 -> 43          10000 -> 132
**      2 -> 10             25 -> 46          25000 -> 146
**      3 -> 16            100 -> 66        1000000 -> 199
**      4 -> 20           1000 -> 99        1048576 -> 200
**     10 -> 33           1024 -> 100    4294967296 -> 320
................................................................................
  Index *pIndex;       /* List of SQL indexes on this table. */
  Select *pSelect;     /* NULL for tables.  Points to definition if a view. */
  FKey *pFKey;         /* Linked list of all foreign keys in this table */
  char *zColAff;       /* String defining the affinity of each column */
#ifndef SQLITE_OMIT_CHECK
  ExprList *pCheck;    /* All CHECK constraints */
#endif
  LogEst nRowLogEst;   /* Estimated rows in table - from sqlite_stat1 table */
  int tnum;            /* Root BTree node for this table (see note above) */
  i16 iPKey;           /* If not negative, use aCol[iPKey] as the primary key */
  i16 nCol;            /* Number of columns in this table */
  u16 nRef;            /* Number of pointers to this Table */
  LogEst szTabRow;     /* Estimated size of each table row in bytes */
  u8 tabFlags;         /* Mask of TF_* values */
  u8 keyConf;          /* What to do in case of uniqueness conflict on iPKey */
................................................................................
** and the value of Index.onError indicate the which conflict resolution 
** algorithm to employ whenever an attempt is made to insert a non-unique
** element.
*/
struct Index {
  char *zName;             /* Name of this index */
  i16 *aiColumn;           /* Which columns are used by this index.  1st is 0 */
  LogEst *aiRowLogEst;     /* From ANALYZE: Est. rows selected by each column */
  Table *pTable;           /* The SQL table being indexed */
  char *zColAff;           /* String defining the affinity of each column */
  Index *pNext;            /* The next index associated with the same table */
  Schema *pSchema;         /* Schema containing this index */
  u8 *aSortOrder;          /* for each column: True==DESC, False==ASC */
  char **azColl;           /* Array of collation sequence names for index */
  Expr *pPartIdxWhere;     /* WHERE clause for partial indices */

Changes to src/test_rtree.c.

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    double xmax;
    double ymin;
    double ymax;
  } aBox[2];
  double centerx;
  double centery;
  double radius;


};

/*
** Destructor function for Circle objects allocated by circle_geom().
*/
static void circle_del(void *p){
  sqlite3_free(p);
................................................................................

/*
** Implementation of "circle" r-tree geometry callback.
*/
static int circle_geom(
  sqlite3_rtree_geometry *p,
  int nCoord, 
#ifdef SQLITE_RTREE_INT_ONLY
  sqlite3_int64 *aCoord,
#else
  double *aCoord, 
#endif
  int *pRes
){
  int i;                          /* Iterator variable */
  Circle *pCircle;                /* Structure defining circular region */
  double xmin, xmax;              /* X dimensions of box being tested */
  double ymin, ymax;              /* X dimensions of box being tested */

  if( p->pUser==0 ){





    /* If pUser is still 0, then the parameter values have not been tested
    ** for correctness or stored into a Circle structure yet. Do this now. */

    /* This geometry callback is for use with a 2-dimensional r-tree table.
    ** Return an error if the table does not have exactly 2 dimensions. */
    if( nCoord!=4 ) return SQLITE_ERROR;

................................................................................
    pCircle->aBox[0].xmax = pCircle->centerx;
    pCircle->aBox[0].ymin = pCircle->centery + pCircle->radius;
    pCircle->aBox[0].ymax = pCircle->centery - pCircle->radius;
    pCircle->aBox[1].xmin = pCircle->centerx + pCircle->radius;
    pCircle->aBox[1].xmax = pCircle->centerx - pCircle->radius;
    pCircle->aBox[1].ymin = pCircle->centery;
    pCircle->aBox[1].ymax = pCircle->centery;

  }

  pCircle = (Circle *)p->pUser;
  xmin = aCoord[0];
  xmax = aCoord[1];
  ymin = aCoord[2];
  ymax = aCoord[3];

  /* Check if any of the 4 corners of the bounding-box being tested lie 
  ** inside the circular region. If they do, then the bounding-box does
  ** intersect the region of interest. Set the output variable to true and
  ** return SQLITE_OK in this case. */
  for(i=0; i<4; i++){
    double x = (i&0x01) ? xmax : xmin;
    double y = (i&0x02) ? ymax : ymin;
................................................................................
  }

  /* The specified bounding box does not intersect the circular region. Set
  ** the output variable to zero and return SQLITE_OK. */
  *pRes = 0;
  return SQLITE_OK;
}





































































































































































/* END of implementation of "circle" geometry callback.
**************************************************************************
*************************************************************************/

#include <assert.h>
#include "tcl.h"
................................................................................
**   cube(x, y, z, width, height, depth)
**
** The width, height and depth parameters must all be greater than zero.
*/
static int cube_geom(
  sqlite3_rtree_geometry *p,
  int nCoord,
#ifdef SQLITE_RTREE_INT_ONLY
  sqlite3_int64 *aCoord, 
#else
  double *aCoord, 
#endif
  int *piRes
){
  Cube *pCube = (Cube *)p->pUser;

  assert( p->pContext==(void *)&gHere );

  if( pCube==0 ){
................................................................................

  if( objc!=2 ){
    Tcl_WrongNumArgs(interp, 1, objv, "DB");
    return TCL_ERROR;
  }
  if( getDbPointer(interp, Tcl_GetString(objv[1]), &db) ) return TCL_ERROR;
  rc = sqlite3_rtree_geometry_callback(db, "circle", circle_geom, 0);








  Tcl_SetResult(interp, (char *)sqlite3ErrName(rc), TCL_STATIC);
#endif
  return TCL_OK;
}

int Sqlitetestrtree_Init(Tcl_Interp *interp){
  Tcl_CreateObjCommand(interp, "register_cube_geom", register_cube_geom, 0, 0);
  Tcl_CreateObjCommand(interp, "register_circle_geom",register_circle_geom,0,0);
  return TCL_OK;
}







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    double xmax;
    double ymin;
    double ymax;
  } aBox[2];
  double centerx;
  double centery;
  double radius;
  double mxArea;
  int eScoreType;
};

/*
** Destructor function for Circle objects allocated by circle_geom().
*/
static void circle_del(void *p){
  sqlite3_free(p);
................................................................................

/*
** Implementation of "circle" r-tree geometry callback.
*/
static int circle_geom(
  sqlite3_rtree_geometry *p,
  int nCoord, 



  sqlite3_rtree_dbl *aCoord,

  int *pRes
){
  int i;                          /* Iterator variable */
  Circle *pCircle;                /* Structure defining circular region */
  double xmin, xmax;              /* X dimensions of box being tested */
  double ymin, ymax;              /* X dimensions of box being tested */

  xmin = aCoord[0];
  xmax = aCoord[1];
  ymin = aCoord[2];
  ymax = aCoord[3];
  pCircle = (Circle *)p->pUser;
  if( pCircle==0 ){
    /* If pUser is still 0, then the parameter values have not been tested
    ** for correctness or stored into a Circle structure yet. Do this now. */

    /* This geometry callback is for use with a 2-dimensional r-tree table.
    ** Return an error if the table does not have exactly 2 dimensions. */
    if( nCoord!=4 ) return SQLITE_ERROR;

................................................................................
    pCircle->aBox[0].xmax = pCircle->centerx;
    pCircle->aBox[0].ymin = pCircle->centery + pCircle->radius;
    pCircle->aBox[0].ymax = pCircle->centery - pCircle->radius;
    pCircle->aBox[1].xmin = pCircle->centerx + pCircle->radius;
    pCircle->aBox[1].xmax = pCircle->centerx - pCircle->radius;
    pCircle->aBox[1].ymin = pCircle->centery;
    pCircle->aBox[1].ymax = pCircle->centery;
    pCircle->mxArea = (xmax - xmin)*(ymax - ymin) + 1.0;
  }







  /* Check if any of the 4 corners of the bounding-box being tested lie 
  ** inside the circular region. If they do, then the bounding-box does
  ** intersect the region of interest. Set the output variable to true and
  ** return SQLITE_OK in this case. */
  for(i=0; i<4; i++){
    double x = (i&0x01) ? xmax : xmin;
    double y = (i&0x02) ? ymax : ymin;
................................................................................
  }

  /* The specified bounding box does not intersect the circular region. Set
  ** the output variable to zero and return SQLITE_OK. */
  *pRes = 0;
  return SQLITE_OK;
}

/*
** Implementation of "circle" r-tree geometry callback using the 
** 2nd-generation interface that allows scoring.
*/
static int circle_query_func(sqlite3_rtree_query_info *p){
  int i;                          /* Iterator variable */
  Circle *pCircle;                /* Structure defining circular region */
  double xmin, xmax;              /* X dimensions of box being tested */
  double ymin, ymax;              /* X dimensions of box being tested */
  int nWithin = 0;                /* Number of corners inside the circle */

  xmin = p->aCoord[0];
  xmax = p->aCoord[1];
  ymin = p->aCoord[2];
  ymax = p->aCoord[3];
  pCircle = (Circle *)p->pUser;
  if( pCircle==0 ){
    /* If pUser is still 0, then the parameter values have not been tested
    ** for correctness or stored into a Circle structure yet. Do this now. */

    /* This geometry callback is for use with a 2-dimensional r-tree table.
    ** Return an error if the table does not have exactly 2 dimensions. */
    if( p->nCoord!=4 ) return SQLITE_ERROR;

    /* Test that the correct number of parameters (4) have been supplied,
    ** and that the parameters are in range (that the radius of the circle 
    ** radius is greater than zero). */
    if( p->nParam!=4 || p->aParam[2]<0.0 ) return SQLITE_ERROR;

    /* Allocate a structure to cache parameter data in. Return SQLITE_NOMEM
    ** if the allocation fails. */
    pCircle = (Circle *)(p->pUser = sqlite3_malloc(sizeof(Circle)));
    if( !pCircle ) return SQLITE_NOMEM;
    p->xDelUser = circle_del;

    /* Record the center and radius of the circular region. One way that
    ** tested bounding boxes that intersect the circular region are detected
    ** is by testing if each corner of the bounding box lies within radius
    ** units of the center of the circle. */
    pCircle->centerx = p->aParam[0];
    pCircle->centery = p->aParam[1];
    pCircle->radius = p->aParam[2];
    pCircle->eScoreType = (int)p->aParam[3];

    /* Define two bounding box regions. The first, aBox[0], extends to
    ** infinity in the X dimension. It covers the same range of the Y dimension
    ** as the circular region. The second, aBox[1], extends to infinity in
    ** the Y dimension and is constrained to the range of the circle in the
    ** X dimension.
    **
    ** Then imagine each box is split in half along its short axis by a line
    ** that intersects the center of the circular region. A bounding box
    ** being tested can be said to intersect the circular region if it contains
    ** points from each half of either of the two infinite bounding boxes.
    */
    pCircle->aBox[0].xmin = pCircle->centerx;
    pCircle->aBox[0].xmax = pCircle->centerx;
    pCircle->aBox[0].ymin = pCircle->centery + pCircle->radius;
    pCircle->aBox[0].ymax = pCircle->centery - pCircle->radius;
    pCircle->aBox[1].xmin = pCircle->centerx + pCircle->radius;
    pCircle->aBox[1].xmax = pCircle->centerx - pCircle->radius;
    pCircle->aBox[1].ymin = pCircle->centery;
    pCircle->aBox[1].ymax = pCircle->centery;
    pCircle->mxArea = 200.0*200.0;
  }

  /* Check if any of the 4 corners of the bounding-box being tested lie 
  ** inside the circular region. If they do, then the bounding-box does
  ** intersect the region of interest. Set the output variable to true and
  ** return SQLITE_OK in this case. */
  for(i=0; i<4; i++){
    double x = (i&0x01) ? xmax : xmin;
    double y = (i&0x02) ? ymax : ymin;
    double d2;
    
    d2  = (x-pCircle->centerx)*(x-pCircle->centerx);
    d2 += (y-pCircle->centery)*(y-pCircle->centery);
    if( d2<(pCircle->radius*pCircle->radius) ) nWithin++;
  }

  /* Check if the bounding box covers any other part of the circular region.
  ** See comments above for a description of how this test works. If it does
  ** cover part of the circular region, set the output variable to true
  ** and return SQLITE_OK. */
  if( nWithin==0 ){
    for(i=0; i<2; i++){
      if( xmin<=pCircle->aBox[i].xmin 
       && xmax>=pCircle->aBox[i].xmax 
       && ymin<=pCircle->aBox[i].ymin 
       && ymax>=pCircle->aBox[i].ymax 
      ){
        nWithin = 1;
        break;
      }
    }
  }

  if( pCircle->eScoreType==1 ){
    /* Depth first search */
    p->rScore = p->iLevel;
  }else if( pCircle->eScoreType==2 ){
    /* Breadth first search */
    p->rScore = 100 - p->iLevel;
  }else if( pCircle->eScoreType==3 ){
    /* Depth-first search, except sort the leaf nodes by area with
    ** the largest area first */
    if( p->iLevel==1 ){
      p->rScore = 1.0 - (xmax-xmin)*(ymax-ymin)/pCircle->mxArea;
      if( p->rScore<0.01 ) p->rScore = 0.01;
    }else{
      p->rScore = 0.0;
    }
  }else if( pCircle->eScoreType==4 ){
    /* Depth-first search, except exclude odd rowids */
    p->rScore = p->iLevel;
    if( p->iRowid&1 ) nWithin = 0;
  }else{
    /* Breadth-first search, except exclude odd rowids */
    p->rScore = 100 - p->iLevel;
    if( p->iRowid&1 ) nWithin = 0;
  }
  if( nWithin==0 ){
    p->eWithin = NOT_WITHIN;
  }else if( nWithin>=4 ){
    p->eWithin = FULLY_WITHIN;
  }else{
    p->eWithin = PARTLY_WITHIN;
  }
  return SQLITE_OK;
}
/*
** Implementation of "breadthfirstsearch" r-tree geometry callback using the 
** 2nd-generation interface that allows scoring.
**
**     ... WHERE id MATCH breadthfirstsearch($x0,$x1,$y0,$y1) ...
**
** It returns all entries whose bounding boxes overlap with $x0,$x1,$y0,$y1.
*/
static int bfs_query_func(sqlite3_rtree_query_info *p){
  double x0,x1,y0,y1;        /* Dimensions of box being tested */
  double bx0,bx1,by0,by1;    /* Boundary of the query function */

  if( p->nParam!=4 ) return SQLITE_ERROR;
  x0 = p->aCoord[0];
  x1 = p->aCoord[1];
  y0 = p->aCoord[2];
  y1 = p->aCoord[3];
  bx0 = p->aParam[0];
  bx1 = p->aParam[1];
  by0 = p->aParam[2];
  by1 = p->aParam[3];
  p->rScore = 100 - p->iLevel;
  if( p->eParentWithin==FULLY_WITHIN ){
    p->eWithin = FULLY_WITHIN;
  }else if( x0>=bx0 && x1<=bx1 && y0>=by0 && y1<=by1 ){
    p->eWithin = FULLY_WITHIN;
  }else if( x1>=bx0 && x0<=bx1 && y1>=by0 && y0<=by1 ){
    p->eWithin = PARTLY_WITHIN;
  }else{
    p->eWithin = NOT_WITHIN;
  }
  return SQLITE_OK;
}

/* END of implementation of "circle" geometry callback.
**************************************************************************
*************************************************************************/

#include <assert.h>
#include "tcl.h"
................................................................................
**   cube(x, y, z, width, height, depth)
**
** The width, height and depth parameters must all be greater than zero.
*/
static int cube_geom(
  sqlite3_rtree_geometry *p,
  int nCoord,



  sqlite3_rtree_dbl *aCoord,

  int *piRes
){
  Cube *pCube = (Cube *)p->pUser;

  assert( p->pContext==(void *)&gHere );

  if( pCube==0 ){
................................................................................

  if( objc!=2 ){
    Tcl_WrongNumArgs(interp, 1, objv, "DB");
    return TCL_ERROR;
  }
  if( getDbPointer(interp, Tcl_GetString(objv[1]), &db) ) return TCL_ERROR;
  rc = sqlite3_rtree_geometry_callback(db, "circle", circle_geom, 0);
  if( rc==SQLITE_OK ){
    rc = sqlite3_rtree_query_callback(db, "Qcircle",
                                      circle_query_func, 0, 0);
  }
  if( rc==SQLITE_OK ){
    rc = sqlite3_rtree_query_callback(db, "breadthfirstsearch",
                                      bfs_query_func, 0, 0);
  }
  Tcl_SetResult(interp, (char *)sqlite3ErrName(rc), TCL_STATIC);
#endif
  return TCL_OK;
}

int Sqlitetestrtree_Init(Tcl_Interp *interp){
  Tcl_CreateObjCommand(interp, "register_cube_geom", register_cube_geom, 0, 0);
  Tcl_CreateObjCommand(interp, "register_circle_geom",register_circle_geom,0,0);
  return TCL_OK;
}

Changes to src/test_vfstrace.c.

674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
  const char *zPath, 
  int flags, 
  int *pResOut
){
  vfstrace_info *pInfo = (vfstrace_info*)pVfs->pAppData;
  sqlite3_vfs *pRoot = pInfo->pRootVfs;
  int rc;
  vfstrace_printf(pInfo, "%s.xDelete(\"%s\",%d)",
                  pInfo->zVfsName, zPath, flags);
  rc = pRoot->xAccess(pRoot, zPath, flags, pResOut);
  vfstrace_print_errcode(pInfo, " -> %s", rc);
  vfstrace_printf(pInfo, ", out=%d\n", *pResOut);
  return rc;
}








|







674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
  const char *zPath, 
  int flags, 
  int *pResOut
){
  vfstrace_info *pInfo = (vfstrace_info*)pVfs->pAppData;
  sqlite3_vfs *pRoot = pInfo->pRootVfs;
  int rc;
  vfstrace_printf(pInfo, "%s.xAccess(\"%s\",%d)",
                  pInfo->zVfsName, zPath, flags);
  rc = pRoot->xAccess(pRoot, zPath, flags, pResOut);
  vfstrace_print_errcode(pInfo, " -> %s", rc);
  vfstrace_printf(pInfo, ", out=%d\n", *pResOut);
  return rc;
}

Changes to src/util.c.

1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
    if( b>a+49 ) return b;
    if( b>a+31 ) return b+1;
    return b+x[b-a];
  }
}

/*
** Convert an integer into a LogEst.  In other words, compute a
** good approximatation for 10*log2(x).
*/
LogEst sqlite3LogEst(u64 x){
  static LogEst a[] = { 0, 2, 3, 5, 6, 7, 8, 9 };
  LogEst y = 40;
  if( x<8 ){
    if( x<2 ) return 0;
    while( x<8 ){  y -= 10; x <<= 1; }







|
|







1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
    if( b>a+49 ) return b;
    if( b>a+31 ) return b+1;
    return b+x[b-a];
  }
}

/*
** Convert an integer into a LogEst.  In other words, compute an
** approximation for 10*log2(x).
*/
LogEst sqlite3LogEst(u64 x){
  static LogEst a[] = { 0, 2, 3, 5, 6, 7, 8, 9 };
  LogEst y = 40;
  if( x<8 ){
    if( x<2 ) return 0;
    while( x<8 ){  y -= 10; x <<= 1; }

Changes to src/vdbe.c.

4246
4247
4248
4249
4250
4251
4252

4253
4254
4255
4256
4257
4258
4259
....
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
case OP_SorterData: {
  VdbeCursor *pC;

  pOut = &aMem[pOp->p2];
  pC = p->apCsr[pOp->p1];
  assert( isSorter(pC) );
  rc = sqlite3VdbeSorterRowkey(pC, pOut);

  break;
}

/* Opcode: RowData P1 P2 * * *
** Synopsis: r[P2]=data
**
** Write into register P2 the complete row data for cursor P1.
................................................................................
** readability.  From this point on down, the normal indentation rules are
** restored.
*****************************************************************************/
    }

#ifdef VDBE_PROFILE
    {
      u64 elapsed = sqlite3Hwtime() - start;
      pOp->cycles += elapsed;
      pOp->cnt++;
    }
#endif

    /* The following code adds nothing to the actual functionality
    ** of the program.  It is only here for testing and debugging.
    ** On the other hand, it does burn CPU cycles every time through







>







 







|
|







4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
....
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
case OP_SorterData: {
  VdbeCursor *pC;

  pOut = &aMem[pOp->p2];
  pC = p->apCsr[pOp->p1];
  assert( isSorter(pC) );
  rc = sqlite3VdbeSorterRowkey(pC, pOut);
  assert( rc!=SQLITE_OK || (pOut->flags & MEM_Blob) );
  break;
}

/* Opcode: RowData P1 P2 * * *
** Synopsis: r[P2]=data
**
** Write into register P2 the complete row data for cursor P1.
................................................................................
** readability.  From this point on down, the normal indentation rules are
** restored.
*****************************************************************************/
    }

#ifdef VDBE_PROFILE
    {
      u64 endTime = sqlite3Hwtime();
      if( endTime>start ) pOp->cycles += endTime - start;
      pOp->cnt++;
    }
#endif

    /* The following code adds nothing to the actual functionality
    ** of the program.  It is only here for testing and debugging.
    ** On the other hand, it does burn CPU cycles every time through

Changes to src/where.c.

223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
....
1952
1953
1954
1955
1956
1957
1958

1959
1960
1961
1962
1963
1964
1965
1966
....
1970
1971
1972
1973
1974
1975
1976























1977
1978
1979
1980
1981
1982
1983
....
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
....
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140

2141
2142
2143
2144
2145
2146
2147
....
2230
2231
2232
2233
2234
2235
2236

2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
....
3753
3754
3755
3756
3757
3758
3759











3760
3761
3762

3763
3764
3765

3766
3767
3768
3769
3770
3771
3772
....
3983
3984
3985
3986
3987
3988
3989
3990


3991
3992
3993
3994
3995
3996





3997
3998
3999
4000
4001
4002
4003
....
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
....
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065







4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083



4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103







4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118

4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143


4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156

4157




4158



4159



4160








4161

4162
4163
4164
4165


4166
4167
4168
4169
4170

4171
4172
4173
4174

4175
4176
4177



4178
4179
4180

4181
4182

4183


















4184
4185
4186
4187
4188
4189
4190




4191
4192







4193
4194
4195
4196
4197
4198
4199
....
4269
4270
4271
4272
4273
4274
4275























4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
....
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321

4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
....
4375
4376
4377
4378
4379
4380
4381

4382
4383
4384
4385
4386
4387
4388
....
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
....
4422
4423
4424
4425
4426
4427
4428
4429

4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441


4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456


4457

4458
4459
4460
4461
4462
4463
4464
....
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
....
4710
4711
4712
4713
4714
4715
4716

4717
4718
4719
4720
4721
4722
4723
....
4728
4729
4730
4731
4732
4733
4734
4735











4736
4737
4738
4739
4740
4741
4742
4743
....
4853
4854
4855
4856
4857
4858
4859
4860
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4870
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4873
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4878
4879
4880



4881
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4884
4885
4886
4887
....
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5184
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5188
5189
5190
5191
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5194
5195




5196
5197
5198
5199

5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
    }
    pWC->nSlot = sqlite3DbMallocSize(db, pWC->a)/sizeof(pWC->a[0]);
  }
  pTerm = &pWC->a[idx = pWC->nTerm++];
  if( p && ExprHasProperty(p, EP_Unlikely) ){
    pTerm->truthProb = sqlite3LogEst(p->iTable) - 99;
  }else{
    pTerm->truthProb = -1;
  }
  pTerm->pExpr = sqlite3ExprSkipCollate(p);
  pTerm->wtFlags = wtFlags;
  pTerm->pWC = pWC;
  pTerm->iParent = -1;
  return idx;
}
................................................................................
    aStat[1] = aSample[i].anEq[iCol];
  }else{
    tRowcnt iLower, iUpper, iGap;
    if( i==0 ){
      iLower = 0;
      iUpper = aSample[0].anLt[iCol];
    }else{

      iUpper = i>=pIdx->nSample ? pIdx->aiRowEst[0] : aSample[i].anLt[iCol];
      iLower = aSample[i-1].anEq[iCol] + aSample[i-1].anLt[iCol];
    }
    aStat[1] = (pIdx->nKeyCol>iCol ? pIdx->aAvgEq[iCol] : 1);
    if( iLower>=iUpper ){
      iGap = 0;
    }else{
      iGap = iUpper - iLower;
................................................................................
    }else{
      iGap = iGap/3;
    }
    aStat[0] = iLower + iGap;
  }
}
#endif /* SQLITE_ENABLE_STAT3_OR_STAT4 */
























/*
** This function is used to estimate the number of rows that will be visited
** by scanning an index for a range of values. The range may have an upper
** bound, a lower bound, or both. The WHERE clause terms that set the upper
** and lower bounds are represented by pLower and pUpper respectively. For
** example, assuming that index p is on t1(a):
................................................................................
      aff = SQLITE_AFF_INTEGER;
    }else{
      aff = p->pTable->aCol[p->aiColumn[nEq]].affinity;
    }
    /* Determine iLower and iUpper using ($P) only. */
    if( nEq==0 ){
      iLower = 0;
      iUpper = p->aiRowEst[0];
    }else{
      /* Note: this call could be optimized away - since the same values must 
      ** have been requested when testing key $P in whereEqualScanEst().  */
      whereKeyStats(pParse, p, pRec, 0, a);
      iLower = a[0];
      iUpper = a[0] + a[1];
    }
................................................................................
    }
  }
#else
  UNUSED_PARAMETER(pParse);
  UNUSED_PARAMETER(pBuilder);
#endif
  assert( pLower || pUpper );
  /* TUNING:  Each inequality constraint reduces the search space 4-fold.
  ** A BETWEEN operator, therefore, reduces the search space 16-fold */
  nNew = nOut;
  if( pLower && (pLower->wtFlags & TERM_VNULL)==0 ){
    nNew -= 20;        assert( 20==sqlite3LogEst(4) );
    nOut--;
  }
  if( pUpper ){
    nNew -= 20;        assert( 20==sqlite3LogEst(4) );
    nOut--;
  }

  if( nNew<10 ) nNew = 10;
  if( nNew<nOut ) nOut = nNew;
  pLoop->nOut = (LogEst)nOut;
  return rc;
}

#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
................................................................................
static int whereInScanEst(
  Parse *pParse,       /* Parsing & code generating context */
  WhereLoopBuilder *pBuilder,
  ExprList *pList,     /* The value list on the RHS of "x IN (v1,v2,v3,...)" */
  tRowcnt *pnRow       /* Write the revised row estimate here */
){
  Index *p = pBuilder->pNew->u.btree.pIndex;

  int nRecValid = pBuilder->nRecValid;
  int rc = SQLITE_OK;     /* Subfunction return code */
  tRowcnt nEst;           /* Number of rows for a single term */
  tRowcnt nRowEst = 0;    /* New estimate of the number of rows */
  int i;                  /* Loop counter */

  assert( p->aSample!=0 );
  for(i=0; rc==SQLITE_OK && i<pList->nExpr; i++){
    nEst = p->aiRowEst[0];
    rc = whereEqualScanEst(pParse, pBuilder, pList->a[i].pExpr, &nEst);
    nRowEst += nEst;
    pBuilder->nRecValid = nRecValid;
  }

  if( rc==SQLITE_OK ){
    if( nRowEst > p->aiRowEst[0] ) nRowEst = p->aiRowEst[0];
    *pnRow = nRowEst;
    WHERETRACE(0x10,("IN row estimate: est=%g\n", nRowEst));
  }
  assert( pBuilder->nRecValid==nRecValid );
  return rc;
}
#endif /* SQLITE_ENABLE_STAT3_OR_STAT4 */
................................................................................
**
**   (2) pTemplate costs more than any other WhereLoops for which pTemplate
**       is a proper subset.
**
** To say "WhereLoop X is a proper subset of Y" means that X uses fewer
** WHERE clause terms than Y and that every WHERE clause term used by X is
** also used by Y.











*/
static void whereLoopAdjustCost(const WhereLoop *p, WhereLoop *pTemplate){
  if( (pTemplate->wsFlags & WHERE_INDEXED)==0 ) return;

  for(; p; p=p->pNextLoop){
    if( p->iTab!=pTemplate->iTab ) continue;
    if( (p->wsFlags & WHERE_INDEXED)==0 ) continue;

    if( whereLoopCheaperProperSubset(p, pTemplate) ){
      /* Adjust pTemplate cost downward so that it is cheaper than its 
      ** subset p */
      pTemplate->rRun = p->rRun;
      pTemplate->nOut = p->nOut - 1;
    }else if( whereLoopCheaperProperSubset(pTemplate, p) ){
      /* Adjust pTemplate cost upward so that it is costlier than p since
................................................................................
    if( (pTerm->prereqAll & notAllowed)!=0 ) continue;
    for(j=pLoop->nLTerm-1; j>=0; j--){
      pX = pLoop->aLTerm[j];
      if( pX==0 ) continue;
      if( pX==pTerm ) break;
      if( pX->iParent>=0 && (&pWC->a[pX->iParent])==pTerm ) break;
    }
    if( j<0 ) pLoop->nOut += pTerm->truthProb;


  }
}

/*
** We have so far matched pBuilder->pNew->u.btree.nEq terms of the index pIndex.
** Try to match one more.





**
** If pProbe->tnum==0, that means pIndex is a fake index used for the
** INTEGER PRIMARY KEY.
*/
static int whereLoopAddBtreeIndex(
  WhereLoopBuilder *pBuilder,     /* The WhereLoop factory */
  struct SrcList_item *pSrc,      /* FROM clause term being analyzed */
................................................................................
  u16 saved_nLTerm;               /* Original value of pNew->nLTerm */
  u16 saved_nEq;                  /* Original value of pNew->u.btree.nEq */
  u16 saved_nSkip;                /* Original value of pNew->u.btree.nSkip */
  u32 saved_wsFlags;              /* Original value of pNew->wsFlags */
  LogEst saved_nOut;              /* Original value of pNew->nOut */
  int iCol;                       /* Index of the column in the table */
  int rc = SQLITE_OK;             /* Return code */
  LogEst nRowEst;                 /* Estimated index selectivity */
  LogEst rLogSize;                /* Logarithm of table size */
  WhereTerm *pTop = 0, *pBtm = 0; /* Top and bottom range constraints */

  pNew = pBuilder->pNew;
  if( db->mallocFailed ) return SQLITE_NOMEM;

  assert( (pNew->wsFlags & WHERE_VIRTUALTABLE)==0 );
................................................................................
    opMask = WO_EQ|WO_IN|WO_ISNULL|WO_GT|WO_GE|WO_LT|WO_LE;
  }
  if( pProbe->bUnordered ) opMask &= ~(WO_GT|WO_GE|WO_LT|WO_LE);

  assert( pNew->u.btree.nEq<=pProbe->nKeyCol );
  if( pNew->u.btree.nEq < pProbe->nKeyCol ){
    iCol = pProbe->aiColumn[pNew->u.btree.nEq];
    nRowEst = sqlite3LogEst(pProbe->aiRowEst[pNew->u.btree.nEq+1]);
    if( nRowEst==0 && pProbe->onError==OE_None ) nRowEst = 1;
  }else{
    iCol = -1;
    nRowEst = 0;
  }
  pTerm = whereScanInit(&scan, pBuilder->pWC, pSrc->iCursor, iCol,
                        opMask, pProbe);
  saved_nEq = pNew->u.btree.nEq;
  saved_nSkip = pNew->u.btree.nSkip;
  saved_nLTerm = pNew->nLTerm;
  saved_wsFlags = pNew->wsFlags;
  saved_prereq = pNew->prereq;
  saved_nOut = pNew->nOut;
  pNew->rSetup = 0;
  rLogSize = estLog(sqlite3LogEst(pProbe->aiRowEst[0]));

  /* Consider using a skip-scan if there are no WHERE clause constraints
  ** available for the left-most terms of the index, and if the average
  ** number of repeats in the left-most terms is at least 18.  The magic
  ** number 18 was found by experimentation to be the payoff point where
  ** skip-scan become faster than a full-scan.
  */







  if( pTerm==0
   && saved_nEq==saved_nSkip
   && saved_nEq+1<pProbe->nKeyCol
   && pProbe->aiRowEst[saved_nEq+1]>=18  /* TUNING: Minimum for skip-scan */
   && (rc = whereLoopResize(db, pNew, pNew->nLTerm+1))==SQLITE_OK
  ){
    LogEst nIter;
    pNew->u.btree.nEq++;
    pNew->u.btree.nSkip++;
    pNew->aLTerm[pNew->nLTerm++] = 0;
    pNew->wsFlags |= WHERE_SKIPSCAN;
    nIter = sqlite3LogEst(pProbe->aiRowEst[0]/pProbe->aiRowEst[saved_nEq+1]);
    pNew->rRun = rLogSize + nIter;
    pNew->nOut += nIter;
    whereLoopAddBtreeIndex(pBuilder, pSrc, pProbe, nIter);
    pNew->nOut = saved_nOut;
  }
  for(; rc==SQLITE_OK && pTerm!=0; pTerm = whereScanNext(&scan)){



    int nIn = 0;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    int nRecValid = pBuilder->nRecValid;
#endif
    if( (pTerm->eOperator==WO_ISNULL || (pTerm->wtFlags&TERM_VNULL)!=0)
     && (iCol<0 || pSrc->pTab->aCol[iCol].notNull)
    ){
      continue; /* ignore IS [NOT] NULL constraints on NOT NULL columns */
    }
    if( pTerm->prereqRight & pNew->maskSelf ) continue;

    assert( pNew->nOut==saved_nOut );

    pNew->wsFlags = saved_wsFlags;
    pNew->u.btree.nEq = saved_nEq;
    pNew->nLTerm = saved_nLTerm;
    if( whereLoopResize(db, pNew, pNew->nLTerm+1) ) break; /* OOM */
    pNew->aLTerm[pNew->nLTerm++] = pTerm;
    pNew->prereq = (saved_prereq | pTerm->prereqRight) & ~pNew->maskSelf;
    pNew->rRun = rLogSize; /* Baseline cost is log2(N).  Adjustments below */







    if( pTerm->eOperator & WO_IN ){
      Expr *pExpr = pTerm->pExpr;
      pNew->wsFlags |= WHERE_COLUMN_IN;
      if( ExprHasProperty(pExpr, EP_xIsSelect) ){
        /* "x IN (SELECT ...)":  TUNING: the SELECT returns 25 rows */
        nIn = 46;  assert( 46==sqlite3LogEst(25) );
      }else if( ALWAYS(pExpr->x.pList && pExpr->x.pList->nExpr) ){
        /* "x IN (value, value, ...)" */
        nIn = sqlite3LogEst(pExpr->x.pList->nExpr);
      }
      assert( nIn>0 );  /* RHS always has 2 or more terms...  The parser
                        ** changes "x IN (?)" into "x=?". */
      pNew->rRun += nIn;
      pNew->u.btree.nEq++;
      pNew->nOut = nRowEst + nInMul + nIn;

    }else if( pTerm->eOperator & (WO_EQ) ){
      assert(
        (pNew->wsFlags & (WHERE_COLUMN_NULL|WHERE_COLUMN_IN|WHERE_SKIPSCAN))!=0
        || nInMul==0
      );
      pNew->wsFlags |= WHERE_COLUMN_EQ;
      if( iCol<0 || (nInMul==0 && pNew->u.btree.nEq==pProbe->nKeyCol-1)){
        assert( (pNew->wsFlags & WHERE_COLUMN_IN)==0 || iCol<0 );
        if( iCol>=0 && pProbe->onError==OE_None ){
          pNew->wsFlags |= WHERE_UNQ_WANTED;
        }else{
          pNew->wsFlags |= WHERE_ONEROW;
        }
      }
      pNew->u.btree.nEq++;
      pNew->nOut = nRowEst + nInMul;
    }else if( pTerm->eOperator & (WO_ISNULL) ){
      pNew->wsFlags |= WHERE_COLUMN_NULL;
      pNew->u.btree.nEq++;
      /* TUNING: IS NULL selects 2 rows */
      nIn = 10;  assert( 10==sqlite3LogEst(2) );
      pNew->nOut = nRowEst + nInMul + nIn;
    }else if( pTerm->eOperator & (WO_GT|WO_GE) ){
      testcase( pTerm->eOperator & WO_GT );
      testcase( pTerm->eOperator & WO_GE );


      pNew->wsFlags |= WHERE_COLUMN_RANGE|WHERE_BTM_LIMIT;
      pBtm = pTerm;
      pTop = 0;
    }else{
      assert( pTerm->eOperator & (WO_LT|WO_LE) );
      testcase( pTerm->eOperator & WO_LT );
      testcase( pTerm->eOperator & WO_LE );
      pNew->wsFlags |= WHERE_COLUMN_RANGE|WHERE_TOP_LIMIT;
      pTop = pTerm;
      pBtm = (pNew->wsFlags & WHERE_BTM_LIMIT)!=0 ?
                     pNew->aLTerm[pNew->nLTerm-2] : 0;
    }
    if( pNew->wsFlags & WHERE_COLUMN_RANGE ){

      /* Adjust nOut and rRun for STAT3 range values */




      assert( pNew->nOut==saved_nOut );



      whereRangeScanEst(pParse, pBuilder, pBtm, pTop, pNew);



    }








#ifdef SQLITE_ENABLE_STAT3_OR_STAT4

    if( nInMul==0 
     && pProbe->nSample 
     && pNew->u.btree.nEq<=pProbe->nSampleCol
     && OptimizationEnabled(db, SQLITE_Stat3) 


    ){
      Expr *pExpr = pTerm->pExpr;
      tRowcnt nOut = 0;
      if( (pTerm->eOperator & (WO_EQ|WO_ISNULL))!=0 ){
        testcase( pTerm->eOperator & WO_EQ );

        testcase( pTerm->eOperator & WO_ISNULL );
        rc = whereEqualScanEst(pParse, pBuilder, pExpr->pRight, &nOut);
      }else if( (pTerm->eOperator & WO_IN)
             &&  !ExprHasProperty(pExpr, EP_xIsSelect)  ){

        rc = whereInScanEst(pParse, pBuilder, pExpr->x.pList, &nOut);
      }
      assert( nOut==0 || rc==SQLITE_OK );



      if( nOut ){
        pNew->nOut = sqlite3LogEst(nOut);
        if( pNew->nOut>saved_nOut ) pNew->nOut = saved_nOut;

      }
    }

#endif


















    if( (pNew->wsFlags & (WHERE_IDX_ONLY|WHERE_IPK))==0 ){
      /* Each row involves a step of the index, then a binary search of
      ** the main table */
      pNew->rRun =  sqlite3LogEstAdd(pNew->rRun,rLogSize>27 ? rLogSize-17 : 10);
    }
    /* Step cost for each output row */
    pNew->rRun = sqlite3LogEstAdd(pNew->rRun, pNew->nOut);




    whereLoopOutputAdjust(pBuilder->pWC, pNew);
    rc = whereLoopInsert(pBuilder, pNew);







    if( (pNew->wsFlags & WHERE_TOP_LIMIT)==0
     && pNew->u.btree.nEq<(pProbe->nKeyCol + (pProbe->zName!=0))
    ){
      whereLoopAddBtreeIndex(pBuilder, pSrc, pProbe, nInMul+nIn);
    }
    pNew->nOut = saved_nOut;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
................................................................................
  return 0;
}

/*
** Add all WhereLoop objects for a single table of the join where the table
** is idenfied by pBuilder->pNew->iTab.  That table is guaranteed to be
** a b-tree table, not a virtual table.























*/
static int whereLoopAddBtree(
  WhereLoopBuilder *pBuilder, /* WHERE clause information */
  Bitmask mExtra              /* Extra prerequesites for using this table */
){
  WhereInfo *pWInfo;          /* WHERE analysis context */
  Index *pProbe;              /* An index we are evaluating */
  Index sPk;                  /* A fake index object for the primary key */
  tRowcnt aiRowEstPk[2];      /* The aiRowEst[] value for the sPk index */
  i16 aiColumnPk = -1;        /* The aColumn[] value for the sPk index */
  SrcList *pTabList;          /* The FROM clause */
  struct SrcList_item *pSrc;  /* The FROM clause btree term to add */
  WhereLoop *pNew;            /* Template WhereLoop object */
  int rc = SQLITE_OK;         /* Return code */
  int iSortIdx = 1;           /* Index number */
  int b;                      /* A boolean value */
................................................................................
    ** variable sPk to represent the rowid primary key index.  Make this
    ** fake index the first in a chain of Index objects with all of the real
    ** indices to follow */
    Index *pFirst;                  /* First of real indices on the table */
    memset(&sPk, 0, sizeof(Index));
    sPk.nKeyCol = 1;
    sPk.aiColumn = &aiColumnPk;
    sPk.aiRowEst = aiRowEstPk;
    sPk.onError = OE_Replace;
    sPk.pTable = pTab;

    aiRowEstPk[0] = pTab->nRowEst;
    aiRowEstPk[1] = 1;
    pFirst = pSrc->pTab->pIndex;
    if( pSrc->notIndexed==0 ){
      /* The real indices of the table are only considered if the
      ** NOT INDEXED qualifier is omitted from the FROM clause */
      sPk.pNext = pFirst;
    }
    pProbe = &sPk;
  }
  rSize = sqlite3LogEst(pTab->nRowEst);
  rLogSize = estLog(rSize);

#ifndef SQLITE_OMIT_AUTOMATIC_INDEX
  /* Automatic indexes */
  if( !pBuilder->pOrSet
   && (pWInfo->pParse->db->flags & SQLITE_AutoIndex)!=0
   && pSrc->pIndex==0
................................................................................
  /* Loop over all indices
  */
  for(; rc==SQLITE_OK && pProbe; pProbe=pProbe->pNext, iSortIdx++){
    if( pProbe->pPartIdxWhere!=0
     && !whereUsablePartialIndex(pNew->iTab, pWC, pProbe->pPartIdxWhere) ){
      continue;  /* Partial index inappropriate for this query */
    }

    pNew->u.btree.nEq = 0;
    pNew->u.btree.nSkip = 0;
    pNew->nLTerm = 0;
    pNew->iSortIdx = 0;
    pNew->rSetup = 0;
    pNew->prereq = mExtra;
    pNew->nOut = rSize;
................................................................................
    assert( (pWInfo->wctrlFlags & WHERE_ONEPASS_DESIRED)==0 || b==0 );
    if( pProbe->tnum<=0 ){
      /* Integer primary key index */
      pNew->wsFlags = WHERE_IPK;

      /* Full table scan */
      pNew->iSortIdx = b ? iSortIdx : 0;
      /* TUNING: Cost of full table scan is 3*(N + log2(N)).
      **  +  The extra 3 factor is to encourage the use of indexed lookups
      **     over full scans.  FIXME */
      pNew->rRun = sqlite3LogEstAdd(rSize,rLogSize) + 16;
      whereLoopOutputAdjust(pWC, pNew);
      rc = whereLoopInsert(pBuilder, pNew);
      pNew->nOut = rSize;
      if( rc ) break;
    }else{
      Bitmask m;
      if( pProbe->isCovering ){
................................................................................
         && (pProbe->szIdxRow<pTab->szTabRow)
         && (pWInfo->wctrlFlags & WHERE_ONEPASS_DESIRED)==0
         && sqlite3GlobalConfig.bUseCis
         && OptimizationEnabled(pWInfo->pParse->db, SQLITE_CoverIdxScan)
          )
      ){
        pNew->iSortIdx = b ? iSortIdx : 0;
        /* TUNING:  The base cost of an index scan is N + log2(N).

        ** The log2(N) is for the initial seek to the beginning and the N
        ** is for the scan itself. */
        pNew->rRun = sqlite3LogEstAdd(rSize, rLogSize);
        if( m==0 ){
          /* TUNING: Cost of a covering index scan is K*(N + log2(N)).
          **  +  The extra factor K of between 1.1 and 3.0 that depends
          **     on the relative sizes of the table and the index.  K
          **     is smaller for smaller indices, thus favoring them.
          **     The upper bound on K (3.0) matches the penalty factor
          **     on a full table scan that tries to encourage the use of
          **     indexed lookups over full scans.
          */


          pNew->rRun +=  1 + (15*pProbe->szIdxRow)/pTab->szTabRow;
        }else{
          /* TUNING: The cost of scanning a non-covering index is multiplied
          ** by log2(N) to account for the binary search of the main table
          ** that must happen for each row of the index.
          ** TODO: Should there be a multiplier here, analogous to the 3x
          ** multiplier for a fulltable scan or covering index scan, to
          ** further discourage the use of an index scan?  Or is the log2(N)
          ** term sufficient discouragement?
          ** TODO: What if some or all of the WHERE clause terms can be
          ** computed without reference to the original table.  Then the
          ** penality should reduce to logK where K is the number of output
          ** rows.
          */
          pNew->rRun += rLogSize;


        }

        whereLoopOutputAdjust(pWC, pNew);
        rc = whereLoopInsert(pBuilder, pNew);
        pNew->nOut = rSize;
        if( rc ) break;
      }
    }

................................................................................
  WhereClause *pWC;
  WhereLoop *pNew;
  WhereTerm *pTerm, *pWCEnd;
  int rc = SQLITE_OK;
  int iCur;
  WhereClause tempWC;
  WhereLoopBuilder sSubBuild;
  WhereOrSet sSum, sCur, sPrev;
  struct SrcList_item *pItem;
  
  pWC = pBuilder->pWC;
  if( pWInfo->wctrlFlags & WHERE_AND_ONLY ) return SQLITE_OK;
  pWCEnd = pWC->a + pWC->nTerm;
  pNew = pBuilder->pNew;
  memset(&sSum, 0, sizeof(sSum));
................................................................................
        if( sCur.n==0 ){
          sSum.n = 0;
          break;
        }else if( once ){
          whereOrMove(&sSum, &sCur);
          once = 0;
        }else{

          whereOrMove(&sPrev, &sSum);
          sSum.n = 0;
          for(i=0; i<sPrev.n; i++){
            for(j=0; j<sCur.n; j++){
              whereOrInsert(&sSum, sPrev.a[i].prereq | sCur.a[j].prereq,
                            sqlite3LogEstAdd(sPrev.a[i].rRun, sCur.a[j].rRun),
                            sqlite3LogEstAdd(sPrev.a[i].nOut, sCur.a[j].nOut));
................................................................................
      pNew->nLTerm = 1;
      pNew->aLTerm[0] = pTerm;
      pNew->wsFlags = WHERE_MULTI_OR;
      pNew->rSetup = 0;
      pNew->iSortIdx = 0;
      memset(&pNew->u, 0, sizeof(pNew->u));
      for(i=0; rc==SQLITE_OK && i<sSum.n; i++){
        /* TUNING: Multiple by 3.5 for the secondary table lookup */











        pNew->rRun = sSum.a[i].rRun + 18;
        pNew->nOut = sSum.a[i].nOut;
        pNew->prereq = sSum.a[i].prereq;
        rc = whereLoopInsert(pBuilder, pNew);
      }
    }
  }
  return rc;
................................................................................
  **
  ** The rowid for a table is always UNIQUE and NOT NULL so whenever the
  ** rowid appears in the ORDER BY clause, the corresponding WhereLoop is
  ** automatically order-distinct.
  */

  assert( pOrderBy!=0 );

  /* Sortability of virtual tables is determined by the xBestIndex method
  ** of the virtual table itself */
  if( pLast->wsFlags & WHERE_VIRTUALTABLE ){
    testcase( nLoop>0 );  /* True when outer loops are one-row and match 
                          ** no ORDER BY terms */
    return pLast->u.vtab.isOrdered;
  }
  if( nLoop && OptimizationDisabled(db, SQLITE_OrderByIdxJoin) ) return 0;

  nOrderBy = pOrderBy->nExpr;
  testcase( nOrderBy==BMS-1 );
  if( nOrderBy>BMS-1 ) return 0;  /* Cannot optimize overly large ORDER BYs */
  isOrderDistinct = 1;
  obDone = MASKBIT(nOrderBy)-1;
  orderDistinctMask = 0;
  ready = 0;
  for(iLoop=0; isOrderDistinct && obSat<obDone && iLoop<=nLoop; iLoop++){
    if( iLoop>0 ) ready |= pLoop->maskSelf;
    pLoop = iLoop<nLoop ? pPath->aLoop[iLoop] : pLast;
    assert( (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 );



    iCur = pWInfo->pTabList->a[pLoop->iTab].iCursor;

    /* Mark off any ORDER BY term X that is a column in the table of
    ** the current loop for which there is term in the WHERE
    ** clause of the form X IS NULL or X=? that reference only outer
    ** loops.
    */
................................................................................
        nOut = pFrom->nRow + pWLoop->nOut;
        maskNew = pFrom->maskLoop | pWLoop->maskSelf;
        if( isOrdered<0 ){
          isOrdered = wherePathSatisfiesOrderBy(pWInfo,
                       pWInfo->pOrderBy, pFrom, pWInfo->wctrlFlags,
                       iLoop, pWLoop, &revMask);
          if( isOrdered>=0 && isOrdered<nOrderBy ){
            /* TUNING: Estimated cost of sorting is N*log(N).




            ** If the order-by clause has X terms but only the last Y terms
            ** are out of order, then block-sorting will reduce the sorting
            ** cost to N*log(N)*log(Y/X).  The log(Y/X) term is computed
            ** by rScale.
            ** TODO: Should the sorting cost get a small multiplier to help
            ** discourage the use of sorting and encourage the use of index
            ** scans instead?
            */




            LogEst rScale, rSortCost;
            assert( nOrderBy>0 );
            rScale = sqlite3LogEst((nOrderBy-isOrdered)*100/nOrderBy) - 66;
            rSortCost = nRowEst + estLog(nRowEst) + rScale;

            /* TUNING: The cost of implementing DISTINCT using a B-TREE is
            ** also N*log(N) but it has a larger constant of proportionality.
            ** Multiply by 3.0. */
            if( pWInfo->wctrlFlags & WHERE_WANT_DISTINCT ){
              rSortCost += 16;
            }
            WHERETRACE(0x002,
               ("---- sort cost=%-3d (%d/%d) increases cost %3d to %-3d\n",
                rSortCost, (nOrderBy-isOrdered), nOrderBy, rCost,
                sqlite3LogEstAdd(rCost,rSortCost)));







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    }
    pWC->nSlot = sqlite3DbMallocSize(db, pWC->a)/sizeof(pWC->a[0]);
  }
  pTerm = &pWC->a[idx = pWC->nTerm++];
  if( p && ExprHasProperty(p, EP_Unlikely) ){
    pTerm->truthProb = sqlite3LogEst(p->iTable) - 99;
  }else{
    pTerm->truthProb = 1;
  }
  pTerm->pExpr = sqlite3ExprSkipCollate(p);
  pTerm->wtFlags = wtFlags;
  pTerm->pWC = pWC;
  pTerm->iParent = -1;
  return idx;
}
................................................................................
    aStat[1] = aSample[i].anEq[iCol];
  }else{
    tRowcnt iLower, iUpper, iGap;
    if( i==0 ){
      iLower = 0;
      iUpper = aSample[0].anLt[iCol];
    }else{
      i64 nRow0 = sqlite3LogEstToInt(pIdx->aiRowLogEst[0]);
      iUpper = i>=pIdx->nSample ? nRow0 : aSample[i].anLt[iCol];
      iLower = aSample[i-1].anEq[iCol] + aSample[i-1].anLt[iCol];
    }
    aStat[1] = (pIdx->nKeyCol>iCol ? pIdx->aAvgEq[iCol] : 1);
    if( iLower>=iUpper ){
      iGap = 0;
    }else{
      iGap = iUpper - iLower;
................................................................................
    }else{
      iGap = iGap/3;
    }
    aStat[0] = iLower + iGap;
  }
}
#endif /* SQLITE_ENABLE_STAT3_OR_STAT4 */

/*
** If it is not NULL, pTerm is a term that provides an upper or lower
** bound on a range scan. Without considering pTerm, it is estimated 
** that the scan will visit nNew rows. This function returns the number
** estimated to be visited after taking pTerm into account.
**
** If the user explicitly specified a likelihood() value for this term,
** then the return value is the likelihood multiplied by the number of
** input rows. Otherwise, this function assumes that an "IS NOT NULL" term
** has a likelihood of 0.50, and any other term a likelihood of 0.25.
*/
static LogEst whereRangeAdjust(WhereTerm *pTerm, LogEst nNew){
  LogEst nRet = nNew;
  if( pTerm ){
    if( pTerm->truthProb<=0 ){
      nRet += pTerm->truthProb;
    }else if( (pTerm->wtFlags & TERM_VNULL)==0 ){
      nRet -= 20;        assert( 20==sqlite3LogEst(4) );
    }
  }
  return nRet;
}

/*
** This function is used to estimate the number of rows that will be visited
** by scanning an index for a range of values. The range may have an upper
** bound, a lower bound, or both. The WHERE clause terms that set the upper
** and lower bounds are represented by pLower and pUpper respectively. For
** example, assuming that index p is on t1(a):
................................................................................
      aff = SQLITE_AFF_INTEGER;
    }else{
      aff = p->pTable->aCol[p->aiColumn[nEq]].affinity;
    }
    /* Determine iLower and iUpper using ($P) only. */
    if( nEq==0 ){
      iLower = 0;
      iUpper = sqlite3LogEstToInt(p->aiRowLogEst[0]);
    }else{
      /* Note: this call could be optimized away - since the same values must 
      ** have been requested when testing key $P in whereEqualScanEst().  */
      whereKeyStats(pParse, p, pRec, 0, a);
      iLower = a[0];
      iUpper = a[0] + a[1];
    }
................................................................................
    }
  }
#else
  UNUSED_PARAMETER(pParse);
  UNUSED_PARAMETER(pBuilder);
#endif
  assert( pLower || pUpper );
  assert( pUpper==0 || (pUpper->wtFlags & TERM_VNULL)==0 );
  nNew = whereRangeAdjust(pLower, nOut);
  nNew = whereRangeAdjust(pUpper, nNew);

  /* TUNING: If there is both an upper and lower limit, assume the range is
  ** reduced by an additional 75%. This means that, by default, an open-ended
  ** range query (e.g. col > ?) is assumed to match 1/4 of the rows in the
  ** index. While a closed range (e.g. col BETWEEN ? AND ?) is estimated to
  ** match 1/64 of the index. */ 
  if( pLower && pUpper ) nNew -= 20;

  nOut -= (pLower!=0) + (pUpper!=0);
  if( nNew<10 ) nNew = 10;
  if( nNew<nOut ) nOut = nNew;
  pLoop->nOut = (LogEst)nOut;
  return rc;
}

#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
................................................................................
static int whereInScanEst(
  Parse *pParse,       /* Parsing & code generating context */
  WhereLoopBuilder *pBuilder,
  ExprList *pList,     /* The value list on the RHS of "x IN (v1,v2,v3,...)" */
  tRowcnt *pnRow       /* Write the revised row estimate here */
){
  Index *p = pBuilder->pNew->u.btree.pIndex;
  i64 nRow0 = sqlite3LogEstToInt(p->aiRowLogEst[0]);
  int nRecValid = pBuilder->nRecValid;
  int rc = SQLITE_OK;     /* Subfunction return code */
  tRowcnt nEst;           /* Number of rows for a single term */
  tRowcnt nRowEst = 0;    /* New estimate of the number of rows */
  int i;                  /* Loop counter */

  assert( p->aSample!=0 );
  for(i=0; rc==SQLITE_OK && i<pList->nExpr; i++){
    nEst = nRow0;
    rc = whereEqualScanEst(pParse, pBuilder, pList->a[i].pExpr, &nEst);
    nRowEst += nEst;
    pBuilder->nRecValid = nRecValid;
  }

  if( rc==SQLITE_OK ){
    if( nRowEst > nRow0 ) nRowEst = nRow0;
    *pnRow = nRowEst;
    WHERETRACE(0x10,("IN row estimate: est=%g\n", nRowEst));
  }
  assert( pBuilder->nRecValid==nRecValid );
  return rc;
}
#endif /* SQLITE_ENABLE_STAT3_OR_STAT4 */
................................................................................
**
**   (2) pTemplate costs more than any other WhereLoops for which pTemplate
**       is a proper subset.
**
** To say "WhereLoop X is a proper subset of Y" means that X uses fewer
** WHERE clause terms than Y and that every WHERE clause term used by X is
** also used by Y.
**
** This adjustment is omitted for SKIPSCAN loops.  In a SKIPSCAN loop, the
** WhereLoop.nLTerm field is not an accurate measure of the number of WHERE
** clause terms covered, since some of the first nLTerm entries in aLTerm[]
** will be NULL (because they are skipped).  That makes it more difficult
** to compare the loops.  We could add extra code to do the comparison, and
** perhaps we will someday.  But SKIPSCAN is sufficiently uncommon, and this
** adjustment is sufficient minor, that it is very difficult to construct
** a test case where the extra code would improve the query plan.  Better
** to avoid the added complexity and just omit cost adjustments to SKIPSCAN
** loops.
*/
static void whereLoopAdjustCost(const WhereLoop *p, WhereLoop *pTemplate){
  if( (pTemplate->wsFlags & WHERE_INDEXED)==0 ) return;
  if( (pTemplate->wsFlags & WHERE_SKIPSCAN)!=0 ) return;
  for(; p; p=p->pNextLoop){
    if( p->iTab!=pTemplate->iTab ) continue;
    if( (p->wsFlags & WHERE_INDEXED)==0 ) continue;
    if( (p->wsFlags & WHERE_SKIPSCAN)!=0 ) continue;
    if( whereLoopCheaperProperSubset(p, pTemplate) ){
      /* Adjust pTemplate cost downward so that it is cheaper than its 
      ** subset p */
      pTemplate->rRun = p->rRun;
      pTemplate->nOut = p->nOut - 1;
    }else if( whereLoopCheaperProperSubset(pTemplate, p) ){
      /* Adjust pTemplate cost upward so that it is costlier than p since
................................................................................
    if( (pTerm->prereqAll & notAllowed)!=0 ) continue;
    for(j=pLoop->nLTerm-1; j>=0; j--){
      pX = pLoop->aLTerm[j];
      if( pX==0 ) continue;
      if( pX==pTerm ) break;
      if( pX->iParent>=0 && (&pWC->a[pX->iParent])==pTerm ) break;
    }
    if( j<0 ){
      pLoop->nOut += (pTerm->truthProb<=0 ? pTerm->truthProb : -1);
    }
  }
}

/*
** We have so far matched pBuilder->pNew->u.btree.nEq terms of the 
** index pIndex. Try to match one more.
**
** When this function is called, pBuilder->pNew->nOut contains the 
** number of rows expected to be visited by filtering using the nEq 
** terms only. If it is modified, this value is restored before this 
** function returns.
**
** If pProbe->tnum==0, that means pIndex is a fake index used for the
** INTEGER PRIMARY KEY.
*/
static int whereLoopAddBtreeIndex(
  WhereLoopBuilder *pBuilder,     /* The WhereLoop factory */
  struct SrcList_item *pSrc,      /* FROM clause term being analyzed */
................................................................................
  u16 saved_nLTerm;               /* Original value of pNew->nLTerm */
  u16 saved_nEq;                  /* Original value of pNew->u.btree.nEq */
  u16 saved_nSkip;                /* Original value of pNew->u.btree.nSkip */
  u32 saved_wsFlags;              /* Original value of pNew->wsFlags */
  LogEst saved_nOut;              /* Original value of pNew->nOut */
  int iCol;                       /* Index of the column in the table */
  int rc = SQLITE_OK;             /* Return code */

  LogEst rLogSize;                /* Logarithm of table size */
  WhereTerm *pTop = 0, *pBtm = 0; /* Top and bottom range constraints */

  pNew = pBuilder->pNew;
  if( db->mallocFailed ) return SQLITE_NOMEM;

  assert( (pNew->wsFlags & WHERE_VIRTUALTABLE)==0 );
................................................................................
    opMask = WO_EQ|WO_IN|WO_ISNULL|WO_GT|WO_GE|WO_LT|WO_LE;
  }
  if( pProbe->bUnordered ) opMask &= ~(WO_GT|WO_GE|WO_LT|WO_LE);

  assert( pNew->u.btree.nEq<=pProbe->nKeyCol );
  if( pNew->u.btree.nEq < pProbe->nKeyCol ){
    iCol = pProbe->aiColumn[pNew->u.btree.nEq];


  }else{
    iCol = -1;

  }
  pTerm = whereScanInit(&scan, pBuilder->pWC, pSrc->iCursor, iCol,
                        opMask, pProbe);
  saved_nEq = pNew->u.btree.nEq;
  saved_nSkip = pNew->u.btree.nSkip;
  saved_nLTerm = pNew->nLTerm;
  saved_wsFlags = pNew->wsFlags;
  saved_prereq = pNew->prereq;
  saved_nOut = pNew->nOut;
  pNew->rSetup = 0;
  rLogSize = estLog(pProbe->aiRowLogEst[0]);

  /* Consider using a skip-scan if there are no WHERE clause constraints
  ** available for the left-most terms of the index, and if the average
  ** number of repeats in the left-most terms is at least 18. 


  **
  ** The magic number 18 is selected on the basis that scanning 17 rows
  ** is almost always quicker than an index seek (even though if the index
  ** contains fewer than 2^17 rows we assume otherwise in other parts of
  ** the code). And, even if it is not, it should not be too much slower. 
  ** On the other hand, the extra seeks could end up being significantly
  ** more expensive.  */
  assert( 42==sqlite3LogEst(18) );
  if( pTerm==0
   && saved_nEq==saved_nSkip
   && saved_nEq+1<pProbe->nKeyCol
   && pProbe->aiRowLogEst[saved_nEq+1]>=42  /* TUNING: Minimum for skip-scan */
   && (rc = whereLoopResize(db, pNew, pNew->nLTerm+1))==SQLITE_OK
  ){
    LogEst nIter;
    pNew->u.btree.nEq++;
    pNew->u.btree.nSkip++;
    pNew->aLTerm[pNew->nLTerm++] = 0;
    pNew->wsFlags |= WHERE_SKIPSCAN;
    nIter = pProbe->aiRowLogEst[saved_nEq] - pProbe->aiRowLogEst[saved_nEq+1];

    pNew->nOut -= nIter;
    whereLoopAddBtreeIndex(pBuilder, pSrc, pProbe, nIter + nInMul);
    pNew->nOut = saved_nOut;
  }
  for(; rc==SQLITE_OK && pTerm!=0; pTerm = whereScanNext(&scan)){
    u16 eOp = pTerm->eOperator;   /* Shorthand for pTerm->eOperator */
    LogEst rCostIdx;
    LogEst nOutUnadjusted;        /* nOut before IN() and WHERE adjustments */
    int nIn = 0;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    int nRecValid = pBuilder->nRecValid;
#endif
    if( (eOp==WO_ISNULL || (pTerm->wtFlags&TERM_VNULL)!=0)
     && (iCol<0 || pSrc->pTab->aCol[iCol].notNull)
    ){
      continue; /* ignore IS [NOT] NULL constraints on NOT NULL columns */
    }
    if( pTerm->prereqRight & pNew->maskSelf ) continue;



    pNew->wsFlags = saved_wsFlags;
    pNew->u.btree.nEq = saved_nEq;
    pNew->nLTerm = saved_nLTerm;
    if( whereLoopResize(db, pNew, pNew->nLTerm+1) ) break; /* OOM */
    pNew->aLTerm[pNew->nLTerm++] = pTerm;
    pNew->prereq = (saved_prereq | pTerm->prereqRight) & ~pNew->maskSelf;


    assert( nInMul==0
        || (pNew->wsFlags & WHERE_COLUMN_NULL)!=0 
        || (pNew->wsFlags & WHERE_COLUMN_IN)!=0 
        || (pNew->wsFlags & WHERE_SKIPSCAN)!=0 
    );

    if( eOp & WO_IN ){
      Expr *pExpr = pTerm->pExpr;
      pNew->wsFlags |= WHERE_COLUMN_IN;
      if( ExprHasProperty(pExpr, EP_xIsSelect) ){
        /* "x IN (SELECT ...)":  TUNING: the SELECT returns 25 rows */
        nIn = 46;  assert( 46==sqlite3LogEst(25) );
      }else if( ALWAYS(pExpr->x.pList && pExpr->x.pList->nExpr) ){
        /* "x IN (value, value, ...)" */
        nIn = sqlite3LogEst(pExpr->x.pList->nExpr);
      }
      assert( nIn>0 );  /* RHS always has 2 or more terms...  The parser
                        ** changes "x IN (?)" into "x=?". */




    }else if( eOp & (WO_EQ) ){




      pNew->wsFlags |= WHERE_COLUMN_EQ;
      if( iCol<0 || (nInMul==0 && pNew->u.btree.nEq==pProbe->nKeyCol-1) ){

        if( iCol>=0 && pProbe->onError==OE_None ){
          pNew->wsFlags |= WHERE_UNQ_WANTED;
        }else{
          pNew->wsFlags |= WHERE_ONEROW;
        }
      }
    }else if( eOp & WO_ISNULL ){


      pNew->wsFlags |= WHERE_COLUMN_NULL;




    }else if( eOp & (WO_GT|WO_GE) ){


      testcase( eOp & WO_GT );
      testcase( eOp & WO_GE );
      pNew->wsFlags |= WHERE_COLUMN_RANGE|WHERE_BTM_LIMIT;
      pBtm = pTerm;
      pTop = 0;
    }else{
      assert( eOp & (WO_LT|WO_LE) );
      testcase( eOp & WO_LT );
      testcase( eOp & WO_LE );
      pNew->wsFlags |= WHERE_COLUMN_RANGE|WHERE_TOP_LIMIT;
      pTop = pTerm;
      pBtm = (pNew->wsFlags & WHERE_BTM_LIMIT)!=0 ?
                     pNew->aLTerm[pNew->nLTerm-2] : 0;
    }


    /* At this point pNew->nOut is set to the number of rows expected to
    ** be visited by the index scan before considering term pTerm, or the
    ** values of nIn and nInMul. In other words, assuming that all 
    ** "x IN(...)" terms are replaced with "x = ?". This block updates
    ** the value of pNew->nOut to account for pTerm (but not nIn/nInMul).  */
    assert( pNew->nOut==saved_nOut );
    if( pNew->wsFlags & WHERE_COLUMN_RANGE ){
      /* Adjust nOut using stat3/stat4 data. Or, if there is no stat3/stat4
      ** data, using some other estimate.  */
      whereRangeScanEst(pParse, pBuilder, pBtm, pTop, pNew);
    }else{
      int nEq = ++pNew->u.btree.nEq;
      assert( eOp & (WO_ISNULL|WO_EQ|WO_IN) );

      assert( pNew->nOut==saved_nOut );
      if( pTerm->truthProb<=0 && iCol>=0 ){
        assert( (eOp & WO_IN) || nIn==0 );
        testcase( eOp & WO_IN );
        pNew->nOut += pTerm->truthProb;
        pNew->nOut -= nIn;
        pNew->wsFlags |= WHERE_LIKELIHOOD;
      }else{
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
        tRowcnt nOut = 0;
        if( nInMul==0 
         && pProbe->nSample 
         && pNew->u.btree.nEq<=pProbe->nSampleCol
         && OptimizationEnabled(db, SQLITE_Stat3) 
         && ((eOp & WO_IN)==0 || !ExprHasProperty(pTerm->pExpr, EP_xIsSelect))
         && (pNew->wsFlags & WHERE_LIKELIHOOD)==0
        ){
          Expr *pExpr = pTerm->pExpr;

          if( (eOp & (WO_EQ|WO_ISNULL))!=0 ){

            testcase( eOp & WO_EQ );
            testcase( eOp & WO_ISNULL );
            rc = whereEqualScanEst(pParse, pBuilder, pExpr->pRight, &nOut);


          }else{
            rc = whereInScanEst(pParse, pBuilder, pExpr->x.pList, &nOut);
          }

          assert( rc!=SQLITE_OK || nOut>0 );
          if( rc==SQLITE_NOTFOUND ) rc = SQLITE_OK;
          if( rc!=SQLITE_OK ) break;          /* Jump out of the pTerm loop */
          if( nOut ){
            pNew->nOut = sqlite3LogEst(nOut);
            if( pNew->nOut>saved_nOut ) pNew->nOut = saved_nOut;
            pNew->nOut -= nIn;
          }
        }
        if( nOut==0 )
#endif
        {
          pNew->nOut += (pProbe->aiRowLogEst[nEq] - pProbe->aiRowLogEst[nEq-1]);
          if( eOp & WO_ISNULL ){
            /* TUNING: If there is no likelihood() value, assume that a 
            ** "col IS NULL" expression matches twice as many rows 
            ** as (col=?). */
            pNew->nOut += 10;
          }
        }
      }
    }

    /* Set rCostIdx to the cost of visiting selected rows in index. Add
    ** it to pNew->rRun, which is currently set to the cost of the index
    ** seek only. Then, if this is a non-covering index, add the cost of
    ** visiting the rows in the main table.  */
    rCostIdx = pNew->nOut + 1 + (15*pProbe->szIdxRow)/pSrc->pTab->szTabRow;
    pNew->rRun = sqlite3LogEstAdd(rLogSize, rCostIdx);
    if( (pNew->wsFlags & (WHERE_IDX_ONLY|WHERE_IPK))==0 ){


      pNew->rRun = sqlite3LogEstAdd(pNew->rRun, pNew->nOut + 16);
    }



    nOutUnadjusted = pNew->nOut;
    pNew->rRun += nInMul + nIn;
    pNew->nOut += nInMul + nIn;
    whereLoopOutputAdjust(pBuilder->pWC, pNew);
    rc = whereLoopInsert(pBuilder, pNew);

    if( pNew->wsFlags & WHERE_COLUMN_RANGE ){
      pNew->nOut = saved_nOut;
    }else{
      pNew->nOut = nOutUnadjusted;
    }

    if( (pNew->wsFlags & WHERE_TOP_LIMIT)==0
     && pNew->u.btree.nEq<(pProbe->nKeyCol + (pProbe->zName!=0))
    ){
      whereLoopAddBtreeIndex(pBuilder, pSrc, pProbe, nInMul+nIn);
    }
    pNew->nOut = saved_nOut;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
................................................................................
  return 0;
}

/*
** Add all WhereLoop objects for a single table of the join where the table
** is idenfied by pBuilder->pNew->iTab.  That table is guaranteed to be
** a b-tree table, not a virtual table.
**
** The costs (WhereLoop.rRun) of the b-tree loops added by this function
** are calculated as follows:
**
** For a full scan, assuming the table (or index) contains nRow rows:
**
**     cost = nRow * 3.0                    // full-table scan
**     cost = nRow * K                      // scan of covering index
**     cost = nRow * (K+3.0)                // scan of non-covering index
**
** where K is a value between 1.1 and 3.0 set based on the relative 
** estimated average size of the index and table records.
**
** For an index scan, where nVisit is the number of index rows visited
** by the scan, and nSeek is the number of seek operations required on 
** the index b-tree:
**
**     cost = nSeek * (log(nRow) + K * nVisit)          // covering index
**     cost = nSeek * (log(nRow) + (K+3.0) * nVisit)    // non-covering index
**
** Normally, nSeek is 1. nSeek values greater than 1 come about if the 
** WHERE clause includes "x IN (....)" terms used in place of "x=?". Or when 
** implicit "x IN (SELECT x FROM tbl)" terms are added for skip-scans.
*/
static int whereLoopAddBtree(
  WhereLoopBuilder *pBuilder, /* WHERE clause information */
  Bitmask mExtra              /* Extra prerequesites for using this table */
){
  WhereInfo *pWInfo;          /* WHERE analysis context */
  Index *pProbe;              /* An index we are evaluating */
  Index sPk;                  /* A fake index object for the primary key */
  LogEst aiRowEstPk[2];       /* The aiRowLogEst[] value for the sPk index */
  i16 aiColumnPk = -1;        /* The aColumn[] value for the sPk index */
  SrcList *pTabList;          /* The FROM clause */
  struct SrcList_item *pSrc;  /* The FROM clause btree term to add */
  WhereLoop *pNew;            /* Template WhereLoop object */
  int rc = SQLITE_OK;         /* Return code */
  int iSortIdx = 1;           /* Index number */
  int b;                      /* A boolean value */
................................................................................
    ** variable sPk to represent the rowid primary key index.  Make this
    ** fake index the first in a chain of Index objects with all of the real
    ** indices to follow */
    Index *pFirst;                  /* First of real indices on the table */
    memset(&sPk, 0, sizeof(Index));
    sPk.nKeyCol = 1;
    sPk.aiColumn = &aiColumnPk;
    sPk.aiRowLogEst = aiRowEstPk;
    sPk.onError = OE_Replace;
    sPk.pTable = pTab;
    sPk.szIdxRow = pTab->szTabRow;
    aiRowEstPk[0] = pTab->nRowLogEst;
    aiRowEstPk[1] = 0;
    pFirst = pSrc->pTab->pIndex;
    if( pSrc->notIndexed==0 ){
      /* The real indices of the table are only considered if the
      ** NOT INDEXED qualifier is omitted from the FROM clause */
      sPk.pNext = pFirst;
    }
    pProbe = &sPk;
  }
  rSize = pTab->nRowLogEst;
  rLogSize = estLog(rSize);

#ifndef SQLITE_OMIT_AUTOMATIC_INDEX
  /* Automatic indexes */
  if( !pBuilder->pOrSet
   && (pWInfo->pParse->db->flags & SQLITE_AutoIndex)!=0
   && pSrc->pIndex==0
................................................................................
  /* Loop over all indices
  */
  for(; rc==SQLITE_OK && pProbe; pProbe=pProbe->pNext, iSortIdx++){
    if( pProbe->pPartIdxWhere!=0
     && !whereUsablePartialIndex(pNew->iTab, pWC, pProbe->pPartIdxWhere) ){
      continue;  /* Partial index inappropriate for this query */
    }
    rSize = pProbe->aiRowLogEst[0];
    pNew->u.btree.nEq = 0;
    pNew->u.btree.nSkip = 0;
    pNew->nLTerm = 0;
    pNew->iSortIdx = 0;
    pNew->rSetup = 0;
    pNew->prereq = mExtra;
    pNew->nOut = rSize;
................................................................................
    assert( (pWInfo->wctrlFlags & WHERE_ONEPASS_DESIRED)==0 || b==0 );
    if( pProbe->tnum<=0 ){
      /* Integer primary key index */
      pNew->wsFlags = WHERE_IPK;

      /* Full table scan */
      pNew->iSortIdx = b ? iSortIdx : 0;
      /* TUNING: Cost of full table scan is (N*3.0). */
      pNew->rRun = rSize + 16;


      whereLoopOutputAdjust(pWC, pNew);
      rc = whereLoopInsert(pBuilder, pNew);
      pNew->nOut = rSize;
      if( rc ) break;
    }else{
      Bitmask m;
      if( pProbe->isCovering ){
................................................................................
         && (pProbe->szIdxRow<pTab->szTabRow)
         && (pWInfo->wctrlFlags & WHERE_ONEPASS_DESIRED)==0
         && sqlite3GlobalConfig.bUseCis
         && OptimizationEnabled(pWInfo->pParse->db, SQLITE_CoverIdxScan)
          )
      ){
        pNew->iSortIdx = b ? iSortIdx : 0;


        /* The cost of visiting the index rows is N*K, where K is





        ** between 1.1 and 3.0, depending on the relative sizes of the





        ** index and table rows. If this is a non-covering index scan,
        ** also add the cost of visiting table rows (N*3.0).  */
        pNew->rRun = rSize + 1 + (15*pProbe->szIdxRow)/pTab->szTabRow;














        if( m!=0 ){
          pNew->rRun = sqlite3LogEstAdd(pNew->rRun, rSize+16);
        }

        whereLoopOutputAdjust(pWC, pNew);
        rc = whereLoopInsert(pBuilder, pNew);
        pNew->nOut = rSize;
        if( rc ) break;
      }
    }

................................................................................
  WhereClause *pWC;
  WhereLoop *pNew;
  WhereTerm *pTerm, *pWCEnd;
  int rc = SQLITE_OK;
  int iCur;
  WhereClause tempWC;
  WhereLoopBuilder sSubBuild;
  WhereOrSet sSum, sCur;
  struct SrcList_item *pItem;
  
  pWC = pBuilder->pWC;
  if( pWInfo->wctrlFlags & WHERE_AND_ONLY ) return SQLITE_OK;
  pWCEnd = pWC->a + pWC->nTerm;
  pNew = pBuilder->pNew;
  memset(&sSum, 0, sizeof(sSum));
................................................................................
        if( sCur.n==0 ){
          sSum.n = 0;
          break;
        }else if( once ){
          whereOrMove(&sSum, &sCur);
          once = 0;
        }else{
          WhereOrSet sPrev;
          whereOrMove(&sPrev, &sSum);
          sSum.n = 0;
          for(i=0; i<sPrev.n; i++){
            for(j=0; j<sCur.n; j++){
              whereOrInsert(&sSum, sPrev.a[i].prereq | sCur.a[j].prereq,
                            sqlite3LogEstAdd(sPrev.a[i].rRun, sCur.a[j].rRun),
                            sqlite3LogEstAdd(sPrev.a[i].nOut, sCur.a[j].nOut));
................................................................................
      pNew->nLTerm = 1;
      pNew->aLTerm[0] = pTerm;
      pNew->wsFlags = WHERE_MULTI_OR;
      pNew->rSetup = 0;
      pNew->iSortIdx = 0;
      memset(&pNew->u, 0, sizeof(pNew->u));
      for(i=0; rc==SQLITE_OK && i<sSum.n; i++){
        /* TUNING: Currently sSum.a[i].rRun is set to the sum of the costs
        ** of all sub-scans required by the OR-scan. However, due to rounding
        ** errors, it may be that the cost of the OR-scan is equal to its
        ** most expensive sub-scan. Add the smallest possible penalty 
        ** (equivalent to multiplying the cost by 1.07) to ensure that 
        ** this does not happen. Otherwise, for WHERE clauses such as the
        ** following where there is an index on "y":
        **
        **     WHERE likelihood(x=?, 0.99) OR y=?
        **
        ** the planner may elect to "OR" together a full-table scan and an
        ** index lookup. And other similarly odd results.  */
        pNew->rRun = sSum.a[i].rRun + 1;
        pNew->nOut = sSum.a[i].nOut;
        pNew->prereq = sSum.a[i].prereq;
        rc = whereLoopInsert(pBuilder, pNew);
      }
    }
  }
  return rc;
................................................................................
  **
  ** The rowid for a table is always UNIQUE and NOT NULL so whenever the
  ** rowid appears in the ORDER BY clause, the corresponding WhereLoop is
  ** automatically order-distinct.
  */

  assert( pOrderBy!=0 );








  if( nLoop && OptimizationDisabled(db, SQLITE_OrderByIdxJoin) ) return 0;

  nOrderBy = pOrderBy->nExpr;
  testcase( nOrderBy==BMS-1 );
  if( nOrderBy>BMS-1 ) return 0;  /* Cannot optimize overly large ORDER BYs */
  isOrderDistinct = 1;
  obDone = MASKBIT(nOrderBy)-1;
  orderDistinctMask = 0;
  ready = 0;
  for(iLoop=0; isOrderDistinct && obSat<obDone && iLoop<=nLoop; iLoop++){
    if( iLoop>0 ) ready |= pLoop->maskSelf;
    pLoop = iLoop<nLoop ? pPath->aLoop[iLoop] : pLast;
    if( pLoop->wsFlags & WHERE_VIRTUALTABLE ){
      if( pLoop->u.vtab.isOrdered ) obSat = obDone;
      break;
    }
    iCur = pWInfo->pTabList->a[pLoop->iTab].iCursor;

    /* Mark off any ORDER BY term X that is a column in the table of
    ** the current loop for which there is term in the WHERE
    ** clause of the form X IS NULL or X=? that reference only outer
    ** loops.
    */
................................................................................
        nOut = pFrom->nRow + pWLoop->nOut;
        maskNew = pFrom->maskLoop | pWLoop->maskSelf;
        if( isOrdered<0 ){
          isOrdered = wherePathSatisfiesOrderBy(pWInfo,
                       pWInfo->pOrderBy, pFrom, pWInfo->wctrlFlags,
                       iLoop, pWLoop, &revMask);
          if( isOrdered>=0 && isOrdered<nOrderBy ){
            /* TUNING: Estimated cost of a full external sort, where N is 
            ** the number of rows to sort is:
            **
            **   cost = (3.0 * N * log(N)).
            ** 
            ** Or, if the order-by clause has X terms but only the last Y 
            ** terms are out of order, then block-sorting will reduce the 




            ** sorting cost to:
            **
            **   cost = (3.0 * N * log(N)) * (Y/X)
            **
            ** The (Y/X) term is implemented using stack variable rScale
            ** below.  */
            LogEst rScale, rSortCost;
            assert( nOrderBy>0 && 66==sqlite3LogEst(100) );
            rScale = sqlite3LogEst((nOrderBy-isOrdered)*100/nOrderBy) - 66;
            rSortCost = nRowEst + estLog(nRowEst) + rScale + 16;

            /* TUNING: The cost of implementing DISTINCT using a B-TREE is
            ** similar but with a larger constant of proportionality. 
            ** Multiply by an additional factor of 3.0.  */
            if( pWInfo->wctrlFlags & WHERE_WANT_DISTINCT ){
              rSortCost += 16;
            }
            WHERETRACE(0x002,
               ("---- sort cost=%-3d (%d/%d) increases cost %3d to %-3d\n",
                rSortCost, (nOrderBy-isOrdered), nOrderBy, rCost,
                sqlite3LogEstAdd(rCost,rSortCost)));

Changes to src/whereInt.h.

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#define WHERE_VIRTUALTABLE 0x00000400  /* WhereLoop.u.vtab is valid */
#define WHERE_IN_ABLE      0x00000800  /* Able to support an IN operator */
#define WHERE_ONEROW       0x00001000  /* Selects no more than one row */
#define WHERE_MULTI_OR     0x00002000  /* OR using multiple indices */
#define WHERE_AUTO_INDEX   0x00004000  /* Uses an ephemeral index */
#define WHERE_SKIPSCAN     0x00008000  /* Uses the skip-scan algorithm */
#define WHERE_UNQ_WANTED   0x00010000  /* WHERE_ONEROW would have been helpful*/








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#define WHERE_VIRTUALTABLE 0x00000400  /* WhereLoop.u.vtab is valid */
#define WHERE_IN_ABLE      0x00000800  /* Able to support an IN operator */
#define WHERE_ONEROW       0x00001000  /* Selects no more than one row */
#define WHERE_MULTI_OR     0x00002000  /* OR using multiple indices */
#define WHERE_AUTO_INDEX   0x00004000  /* Uses an ephemeral index */
#define WHERE_SKIPSCAN     0x00008000  /* Uses the skip-scan algorithm */
#define WHERE_UNQ_WANTED   0x00010000  /* WHERE_ONEROW would have been helpful*/
#define WHERE_LIKELIHOOD   0x00020000  /* A likelihood() is affecting nOut */

Changes to test/analyze3.test.

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  ifcapable stat4 {
    execsql { SELECT count(*)>0 FROM sqlite_stat4; }
  } else {
    execsql { SELECT count(*)>0 FROM sqlite_stat3; }
  }
} {1}










do_eqp_test analyze3-1.1.2 {
  SELECT sum(y) FROM t1 WHERE x>200 AND x<300
} {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (x>? AND x<?)}}
do_eqp_test analyze3-1.1.3 {
  SELECT sum(y) FROM t1 WHERE x>0 AND x<1100 
} {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (x>? AND x<?)}}

do_test analyze3-1.1.4 {
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>200 AND x<300 }
} {199 0 14850}
do_test analyze3-1.1.5 {
  set l [string range "200" 0 end]
  set u [string range "300" 0 end]
................................................................................
do_test analyze3-1.1.6 {
  set l [expr int(200)]
  set u [expr int(300)]
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>$l AND x<$u }
} {199 0 14850}
do_test analyze3-1.1.7 {
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>0 AND x<1100 }
} {2000 0 499500}
do_test analyze3-1.1.8 {
  set l [string range "0" 0 end]
  set u [string range "1100" 0 end]
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>$l AND x<$u }
} {2000 0 499500}
do_test analyze3-1.1.9 {
  set l [expr int(0)]
  set u [expr int(1100)]
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>$l AND x<$u }
} {2000 0 499500}


# The following tests are similar to the block above. The difference is
# that the indexed column has TEXT affinity in this case. In the tests
# above the affinity is INTEGER.
#
do_test analyze3-1.2.1 {
................................................................................
      CREATE TABLE t2(x TEXT, y);
      INSERT INTO t2 SELECT * FROM t1;
      CREATE INDEX i2 ON t2(x);
    COMMIT;
    ANALYZE;
  }
} {}




do_eqp_test analyze3-1.2.2 {
  SELECT sum(y) FROM t2 WHERE x>1 AND x<2
} {0 0 0 {SEARCH TABLE t2 USING INDEX i2 (x>? AND x<?)}}
do_eqp_test analyze3-1.2.3 {
  SELECT sum(y) FROM t2 WHERE x>0 AND x<99
} {0 0 0 {SEARCH TABLE t2 USING INDEX i2 (x>? AND x<?)}}

do_test analyze3-1.2.4 {
  sf_execsql { SELECT sum(y) FROM t2 WHERE x>12 AND x<20 }
} {161 0 4760}
do_test analyze3-1.2.5 {
  set l [string range "12" 0 end]
  set u [string range "20" 0 end]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
................................................................................
do_test analyze3-1.2.6 {
  set l [expr int(12)]
  set u [expr int(20)]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
} {161 0 integer integer 4760}
do_test analyze3-1.2.7 {
  sf_execsql { SELECT sum(y) FROM t2 WHERE x>0 AND x<99 }
} {1981 0 490555}
do_test analyze3-1.2.8 {
  set l [string range "0" 0 end]
  set u [string range "99" 0 end]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
} {1981 0 text text 490555}
do_test analyze3-1.2.9 {
  set l [expr int(0)]
  set u [expr int(99)]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
} {1981 0 integer integer 490555}

# Same tests a third time. This time, column x has INTEGER affinity and
# is not the leftmost column of the table. This triggered a bug causing
# SQLite to use sub-optimal query plans in 3.6.18 and earlier.
#
do_test analyze3-1.3.1 {
  execsql {
................................................................................
      CREATE TABLE t3(y TEXT, x INTEGER);
      INSERT INTO t3 SELECT y, x FROM t1;
      CREATE INDEX i3 ON t3(x);
    COMMIT;
    ANALYZE;
  }
} {}




do_eqp_test analyze3-1.3.2 {
  SELECT sum(y) FROM t3 WHERE x>200 AND x<300
} {0 0 0 {SEARCH TABLE t3 USING INDEX i3 (x>? AND x<?)}}
do_eqp_test analyze3-1.3.3 {
  SELECT sum(y) FROM t3 WHERE x>0 AND x<1100
} {0 0 0 {SEARCH TABLE t3 USING INDEX i3 (x>? AND x<?)}}

do_test analyze3-1.3.4 {
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>200 AND x<300 }
} {199 0 14850}
do_test analyze3-1.3.5 {
  set l [string range "200" 0 end]
  set u [string range "300" 0 end]
................................................................................
do_test analyze3-1.3.6 {
  set l [expr int(200)]
  set u [expr int(300)]
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>$l AND x<$u }
} {199 0 14850}
do_test analyze3-1.3.7 {
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>0 AND x<1100 }
} {2000 0 499500}
do_test analyze3-1.3.8 {
  set l [string range "0" 0 end]
  set u [string range "1100" 0 end]
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>$l AND x<$u }
} {2000 0 499500}
do_test analyze3-1.3.9 {
  set l [expr int(0)]
  set u [expr int(1100)]
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>$l AND x<$u }
} {2000 0 499500}

#-------------------------------------------------------------------------
# Test that the values of bound SQL variables may be used for the LIKE
# optimization.
#
drop_all_tables
do_test analyze3-2.1 {







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  ifcapable stat4 {
    execsql { SELECT count(*)>0 FROM sqlite_stat4; }
  } else {
    execsql { SELECT count(*)>0 FROM sqlite_stat3; }
  }
} {1}

do_execsql_test analyze3-1.1.x {
  SELECT count(*) FROM t1 WHERE x>200 AND x<300;
  SELECT count(*) FROM t1 WHERE x>0 AND x<1100;
} {99 1000}

# The first of the following two SELECT statements visits 99 rows. So
# it is better to use the index. But the second visits every row in 
# the table (1000 in total) so it is better to do a full-table scan.
#
do_eqp_test analyze3-1.1.2 {
  SELECT sum(y) FROM t1 WHERE x>200 AND x<300
} {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (x>? AND x<?)}}
do_eqp_test analyze3-1.1.3 {
  SELECT sum(y) FROM t1 WHERE x>0 AND x<1100 
} {0 0 0 {SCAN TABLE t1}}

do_test analyze3-1.1.4 {
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>200 AND x<300 }
} {199 0 14850}
do_test analyze3-1.1.5 {
  set l [string range "200" 0 end]
  set u [string range "300" 0 end]
................................................................................
do_test analyze3-1.1.6 {
  set l [expr int(200)]
  set u [expr int(300)]
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>$l AND x<$u }
} {199 0 14850}
do_test analyze3-1.1.7 {
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>0 AND x<1100 }
} {999 999 499500}
do_test analyze3-1.1.8 {
  set l [string range "0" 0 end]
  set u [string range "1100" 0 end]
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>$l AND x<$u }
} {999 999 499500}
do_test analyze3-1.1.9 {
  set l [expr int(0)]
  set u [expr int(1100)]
  sf_execsql { SELECT sum(y) FROM t1 WHERE x>$l AND x<$u }
} {999 999 499500}


# The following tests are similar to the block above. The difference is
# that the indexed column has TEXT affinity in this case. In the tests
# above the affinity is INTEGER.
#
do_test analyze3-1.2.1 {
................................................................................
      CREATE TABLE t2(x TEXT, y);
      INSERT INTO t2 SELECT * FROM t1;
      CREATE INDEX i2 ON t2(x);
    COMMIT;
    ANALYZE;
  }
} {}
do_execsql_test analyze3-2.1.x {
  SELECT count(*) FROM t2 WHERE x>1 AND x<2;
  SELECT count(*) FROM t2 WHERE x>0 AND x<99;
} {200 990}
do_eqp_test analyze3-1.2.2 {
  SELECT sum(y) FROM t2 WHERE x>1 AND x<2
} {0 0 0 {SEARCH TABLE t2 USING INDEX i2 (x>? AND x<?)}}
do_eqp_test analyze3-1.2.3 {
  SELECT sum(y) FROM t2 WHERE x>0 AND x<99
} {0 0 0 {SCAN TABLE t2}}

do_test analyze3-1.2.4 {
  sf_execsql { SELECT sum(y) FROM t2 WHERE x>12 AND x<20 }
} {161 0 4760}
do_test analyze3-1.2.5 {
  set l [string range "12" 0 end]
  set u [string range "20" 0 end]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
................................................................................
do_test analyze3-1.2.6 {
  set l [expr int(12)]
  set u [expr int(20)]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
} {161 0 integer integer 4760}
do_test analyze3-1.2.7 {
  sf_execsql { SELECT sum(y) FROM t2 WHERE x>0 AND x<99 }
} {999 999 490555}
do_test analyze3-1.2.8 {
  set l [string range "0" 0 end]
  set u [string range "99" 0 end]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
} {999 999 text text 490555}
do_test analyze3-1.2.9 {
  set l [expr int(0)]
  set u [expr int(99)]
  sf_execsql {SELECT typeof($l), typeof($u), sum(y) FROM t2 WHERE x>$l AND x<$u}
} {999 999 integer integer 490555}

# Same tests a third time. This time, column x has INTEGER affinity and
# is not the leftmost column of the table. This triggered a bug causing
# SQLite to use sub-optimal query plans in 3.6.18 and earlier.
#
do_test analyze3-1.3.1 {
  execsql {
................................................................................
      CREATE TABLE t3(y TEXT, x INTEGER);
      INSERT INTO t3 SELECT y, x FROM t1;
      CREATE INDEX i3 ON t3(x);
    COMMIT;
    ANALYZE;
  }
} {}
do_execsql_test analyze3-1.3.x {
  SELECT count(*) FROM t3 WHERE x>200 AND x<300;
  SELECT count(*) FROM t3 WHERE x>0 AND x<1100
} {99 1000}
do_eqp_test analyze3-1.3.2 {
  SELECT sum(y) FROM t3 WHERE x>200 AND x<300
} {0 0 0 {SEARCH TABLE t3 USING INDEX i3 (x>? AND x<?)}}
do_eqp_test analyze3-1.3.3 {
  SELECT sum(y) FROM t3 WHERE x>0 AND x<1100
} {0 0 0 {SCAN TABLE t3}}

do_test analyze3-1.3.4 {
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>200 AND x<300 }
} {199 0 14850}
do_test analyze3-1.3.5 {
  set l [string range "200" 0 end]
  set u [string range "300" 0 end]
................................................................................
do_test analyze3-1.3.6 {
  set l [expr int(200)]
  set u [expr int(300)]
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>$l AND x<$u }
} {199 0 14850}
do_test analyze3-1.3.7 {
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>0 AND x<1100 }
} {999 999 499500}
do_test analyze3-1.3.8 {
  set l [string range "0" 0 end]
  set u [string range "1100" 0 end]
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>$l AND x<$u }
} {999 999 499500}
do_test analyze3-1.3.9 {
  set l [expr int(0)]
  set u [expr int(1100)]
  sf_execsql { SELECT sum(y) FROM t3 WHERE x>$l AND x<$u }
} {999 999 499500}

#-------------------------------------------------------------------------
# Test that the values of bound SQL variables may be used for the LIKE
# optimization.
#
drop_all_tables
do_test analyze3-2.1 {

Changes to test/analyze9.test.

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#-------------------------------------------------------------------------
# Check that affinities are taken into account when using stat4 data to
# estimate the number of rows scanned by a rowid constraint.
#
drop_all_tables
do_test 13.1 {
  execsql {
    CREATE TABLE t1(a, b, c);
    CREATE INDEX i1 ON t1(a);
    CREATE INDEX i2 ON t1(b, c);
  }
  for {set i 0} {$i<100} {incr i} {
    if {$i %2} {set a abc} else {set a def}
    execsql { INSERT INTO t1(rowid, a, b, c) VALUES($i, $a, $i, $i) }
  }
  execsql ANALYZE
} {}
do_eqp_test 13.2.1 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<15 AND b<20
} {/SEARCH TABLE t1 USING INDEX i1/}
do_eqp_test 13.2.2 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<'15' AND b<20
} {/SEARCH TABLE t1 USING INDEX i1/}
do_eqp_test 13.3.1 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<100 AND b<20
} {/SEARCH TABLE t1 USING INDEX i2/}
do_eqp_test 13.3.2 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<'100' AND b<20
} {/SEARCH TABLE t1 USING INDEX i2/}

#-------------------------------------------------------------------------
# Check also that affinities are taken into account when using stat4 data 
# to estimate the number of rows scanned by any other constraint on a 
# column other than the leftmost.
#







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#-------------------------------------------------------------------------
# Check that affinities are taken into account when using stat4 data to
# estimate the number of rows scanned by a rowid constraint.
#
drop_all_tables
do_test 13.1 {
  execsql {
    CREATE TABLE t1(a, b, c, d);
    CREATE INDEX i1 ON t1(a);
    CREATE INDEX i2 ON t1(b, c);
  }
  for {set i 0} {$i<100} {incr i} {
    if {$i %2} {set a abc} else {set a def}
    execsql { INSERT INTO t1(rowid, a, b, c) VALUES($i, $a, $i, $i) }
  }
  execsql ANALYZE
} {}
do_eqp_test 13.2.1 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<15 AND b<12
} {/SEARCH TABLE t1 USING INDEX i1/}
do_eqp_test 13.2.2 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<'15' AND b<12
} {/SEARCH TABLE t1 USING INDEX i1/}
do_eqp_test 13.3.1 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<100 AND b<12
} {/SEARCH TABLE t1 USING INDEX i2/}
do_eqp_test 13.3.2 {
  SELECT * FROM t1 WHERE a='abc' AND rowid<'100' AND b<12
} {/SEARCH TABLE t1 USING INDEX i2/}

#-------------------------------------------------------------------------
# Check also that affinities are taken into account when using stat4 data 
# to estimate the number of rows scanned by any other constraint on a 
# column other than the leftmost.
#

Changes to test/autoindex1.test.

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  db status autoindex
} {0}
do_test autoindex1-210 {
  db eval {
    PRAGMA automatic_index=ON;
    ANALYZE;
    UPDATE sqlite_stat1 SET stat='10000' WHERE tbl='t1';


    ANALYZE sqlite_master;
    SELECT b, (SELECT d FROM t2 WHERE c=a) FROM t1;
  }
} {11 911 22 922 33 933 44 944 55 955 66 966 77 977 88 988}
do_test autoindex1-211 {
  db status step
} {7}







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  db status autoindex
} {0}
do_test autoindex1-210 {
  db eval {
    PRAGMA automatic_index=ON;
    ANALYZE;
    UPDATE sqlite_stat1 SET stat='10000' WHERE tbl='t1';
    -- Table t2 actually contains 8 rows.
    UPDATE sqlite_stat1 SET stat='16' WHERE tbl='t2';
    ANALYZE sqlite_master;
    SELECT b, (SELECT d FROM t2 WHERE c=a) FROM t1;
  }
} {11 911 22 922 33 933 44 944 55 955 66 966 77 977 88 988}
do_test autoindex1-211 {
  db status step
} {7}

Added test/cost.test.























































































































































































































































































































































































































































































































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# 2014-04-26
#
# 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.
#
#***********************************************************************
# 

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


do_execsql_test 1.1 {
  CREATE TABLE t3(id INTEGER PRIMARY KEY, b NOT NULL);
  CREATE TABLE t4(c, d, e);
  CREATE UNIQUE INDEX i3 ON t3(b);
  CREATE UNIQUE INDEX i4 ON t4(c, d);
}
do_eqp_test 1.2 {
  SELECT e FROM t3, t4 WHERE b=c ORDER BY b, d;
} {
  0 0 0 {SCAN TABLE t3 USING COVERING INDEX i3} 
  0 1 1 {SEARCH TABLE t4 USING INDEX i4 (c=?)}
}


do_execsql_test 2.1 {
  CREATE TABLE t1(a, b);
  CREATE INDEX i1 ON t1(a);
}

# It is better to use an index for ORDER BY than sort externally, even 
# if the index is a non-covering index.
do_eqp_test 2.2 {
  SELECT * FROM t1 ORDER BY a;
} {
  0 0 0 {SCAN TABLE t1 USING INDEX i1}
}

do_execsql_test 3.1 {
  CREATE TABLE t5(a INTEGER PRIMARY KEY,b,c,d,e,f,g);
  CREATE INDEX t5b ON t5(b);
  CREATE INDEX t5c ON t5(c);
  CREATE INDEX t5d ON t5(d);
  CREATE INDEX t5e ON t5(e);
  CREATE INDEX t5f ON t5(f);
  CREATE INDEX t5g ON t5(g);
}

do_eqp_test 3.2 {
  SELECT a FROM t5 
  WHERE b IS NULL OR c IS NULL OR d IS NULL 
  ORDER BY a;
} {
  0 0 0 {SEARCH TABLE t5 USING INDEX t5b (b=?)} 
  0 0 0 {SEARCH TABLE t5 USING INDEX t5c (c=?)} 
  0 0 0 {SEARCH TABLE t5 USING INDEX t5d (d=?)} 
  0 0 0 {USE TEMP B-TREE FOR ORDER BY}
}

#-------------------------------------------------------------------------
# If there is no likelihood() or stat3 data, SQLite assumes that a closed
# range scan (e.g. one constrained by "col BETWEEN ? AND ?" constraint)
# visits 1/64 of the rows in a table.
#
# Note: 1/63 =~ 0.016
# Note: 1/65 =~ 0.015
#
reset_db
do_execsql_test 4.1 {
  CREATE TABLE t1(a, b);
  CREATE INDEX i1 ON t1(a);
  CREATE INDEX i2 ON t1(b);
}
do_eqp_test 4.2 {
  SELECT * FROM t1 WHERE likelihood(a=?, 0.014) AND b BETWEEN ? AND ?;
} {
  0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a=?)}
}
do_eqp_test 4.3 {
  SELECT * FROM t1 WHERE likelihood(a=?, 0.016) AND b BETWEEN ? AND ?;
} {
  0 0 0 {SEARCH TABLE t1 USING INDEX i2 (b>? AND b<?)}
}


#-------------------------------------------------------------------------
#
reset_db
do_execsql_test 5.1 {
  CREATE TABLE t2(x, y);
  CREATE INDEX t2i1 ON t2(x);
}

do_eqp_test 5.2 {
  SELECT * FROM t2 ORDER BY x, y;
} {
  0 0 0 {SCAN TABLE t2 USING INDEX t2i1} 
  0 0 0 {USE TEMP B-TREE FOR RIGHT PART OF ORDER BY}
}

do_eqp_test 5.3 {
  SELECT * FROM t2 WHERE x BETWEEN ? AND ? ORDER BY rowid;
} {
  0 0 0 {SEARCH TABLE t2 USING INDEX t2i1 (x>? AND x<?)} 
  0 0 0 {USE TEMP B-TREE FOR ORDER BY}
}

# where7.test, where8.test:
#
do_execsql_test 6.1 {
  CREATE TABLE t3(a INTEGER PRIMARY KEY, b, c);
  CREATE INDEX t3i1 ON t3(b);
  CREATE INDEX t3i2 ON t3(c);
}

do_eqp_test 6.2 {
  SELECT a FROM t3 WHERE (b BETWEEN 2 AND 4) OR c=100 ORDER BY a
} {
  0 0 0 {SEARCH TABLE t3 USING INDEX t3i1 (b>? AND b<?)} 
  0 0 0 {SEARCH TABLE t3 USING INDEX t3i2 (c=?)}
  0 0 0 {USE TEMP B-TREE FOR ORDER BY}
}

#-------------------------------------------------------------------------
#
reset_db
do_execsql_test 7.1 {
  CREATE TABLE t1(a INTEGER PRIMARY KEY,b,c,d,e,f,g);
  CREATE INDEX t1b ON t1(b);
  CREATE INDEX t1c ON t1(c);
  CREATE INDEX t1d ON t1(d);
  CREATE INDEX t1e ON t1(e);
  CREATE INDEX t1f ON t1(f);
  CREATE INDEX t1g ON t1(g);
}

do_eqp_test 7.2 {
  SELECT a FROM t1
     WHERE (b>=950 AND b<=1010) OR (b IS NULL AND c NOT NULL)
  ORDER BY a
} {
  0 0 0 {SEARCH TABLE t1 USING INDEX t1b (b>? AND b<?)} 
  0 0 0 {SEARCH TABLE t1 USING INDEX t1b (b=?)} 
  0 0 0 {USE TEMP B-TREE FOR ORDER BY}
}

do_eqp_test 7.3 {
  SELECT rowid FROM t1
  WHERE (+b IS NULL AND c NOT NULL AND d NOT NULL)
        OR (b NOT NULL AND c IS NULL AND d NOT NULL)
        OR (b NOT NULL AND c NOT NULL AND d IS NULL)
} {
  0 0 0 {SCAN TABLE t1}
}

do_eqp_test 7.4 {
  SELECT rowid FROM t1 WHERE (+b IS NULL AND c NOT NULL) OR c IS NULL
} {
  0 0 0 {SCAN TABLE t1}
}

#-------------------------------------------------------------------------
#
reset_db
do_execsql_test 8.1 {
  CREATE TABLE composer(
    cid INTEGER PRIMARY KEY,
    cname TEXT
  );
  CREATE TABLE album(
    aid INTEGER PRIMARY KEY,
    aname TEXT
  );
  CREATE TABLE track(
    tid INTEGER PRIMARY KEY,
    cid INTEGER REFERENCES composer,
    aid INTEGER REFERENCES album,
    title TEXT
  );
  CREATE INDEX track_i1 ON track(cid);
  CREATE INDEX track_i2 ON track(aid);
}

do_eqp_test 8.2 {
  SELECT DISTINCT aname
    FROM album, composer, track
   WHERE cname LIKE '%bach%'
     AND unlikely(composer.cid=track.cid)
     AND unlikely(album.aid=track.aid);
} {
  0 0 2 {SCAN TABLE track} 
  0 1 0 {SEARCH TABLE album USING INTEGER PRIMARY KEY (rowid=?)}
  0 2 1 {SEARCH TABLE composer USING INTEGER PRIMARY KEY (rowid=?)}
  0 0 0 {USE TEMP B-TREE FOR DISTINCT}
}

#-------------------------------------------------------------------------
#
do_execsql_test 9.1 {
  CREATE TABLE t1(
    a,b,c,d,e, f,g,h,i,j,
    k,l,m,n,o, p,q,r,s,t
  );
  CREATE INDEX i1 ON t1(k,l,m,n,o,p,q,r,s,t);
}
do_test 9.2 {
  for {set i 0} {$i < 100} {incr i} {
    execsql { INSERT INTO t1 DEFAULT VALUES }
  }
  execsql {
    ANALYZE;
    CREATE INDEX i2 ON t1(a,b,c,d,e,f,g,h,i,j);
  }
} {}

set L [list a=? b=? c=? d=? e=? f=? g=? h=? i=? j=?]
foreach {tn nTerm nRow} {
  1   1 10
  2   2  9
  3   3  8
  4   4  7
  5   5  6
  6   6  5
  7   7  5
  8   8  5
  9   9  5
  10 10  5
} {
  set w [join [lrange $L 0 [expr $nTerm-1]] " AND "]
  set p1 [expr ($nRow-1) / 100.0]
  set p2 [expr ($nRow+1) / 100.0]

  set sql1 "SELECT * FROM t1 WHERE likelihood(k=?, $p1) AND $w"
  set sql2 "SELECT * FROM t1 WHERE likelihood(k=?, $p2) AND $w"

  do_eqp_test 9.3.$tn.1 $sql1 {/INDEX i1/}
  do_eqp_test 9.3.$tn.2 $sql2 {/INDEX i2/}
}



finish_test



Changes to test/e_createtable.test.

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    h DEFAULT ( substr('abcd', 0, 2) || 'cd' ),
    i DEFAULT CURRENT_TIME,
    j DEFAULT CURRENT_DATE,
    k DEFAULT CURRENT_TIMESTAMP
  );
} {}

# EVIDENCE-OF: R-10288-43169 For the purposes of the DEFAULT clause, an
# expression is considered constant provided that it does not contain
# any sub-queries or string constants enclosed in double quotes.

#
do_createtable_tests 3.4.1 -error {
  default value of column [x] is not constant
} {
  1   {CREATE TABLE t5(x DEFAULT ( (SELECT 1) ))}  {}
  2   {CREATE TABLE t5(x DEFAULT ( "abc" ))}  {}
  3   {CREATE TABLE t5(x DEFAULT ( 1 IN (SELECT 1) ))}  {}







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    h DEFAULT ( substr('abcd', 0, 2) || 'cd' ),
    i DEFAULT CURRENT_TIME,
    j DEFAULT CURRENT_DATE,
    k DEFAULT CURRENT_TIMESTAMP
  );
} {}

# EVIDENCE-OF: R-36381-62919 For the purposes of the DEFAULT clause, an
# expression is considered constant provided that it does not contain
# any sub-queries, column or table references, or string literals
# enclosed in double-quotes instead of single-quotes.
#
do_createtable_tests 3.4.1 -error {
  default value of column [x] is not constant
} {
  1   {CREATE TABLE t5(x DEFAULT ( (SELECT 1) ))}  {}
  2   {CREATE TABLE t5(x DEFAULT ( "abc" ))}  {}
  3   {CREATE TABLE t5(x DEFAULT ( 1 IN (SELECT 1) ))}  {}

Changes to test/e_fkey.test.

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#-------------------------------------------------------------------------
# EVIDENCE-OF: R-07280-60510 Assuming the library is compiled with
# foreign key constraints enabled, it must still be enabled by the
# application at runtime, using the PRAGMA foreign_keys command.
#
# This also tests that foreign key constraints are disabled by default.
#
# EVIDENCE-OF: R-59578-04990 Foreign key constraints are disabled by
# default (for backwards compatibility), so must be enabled separately
# for each database connection separately.
#
drop_all_tables
do_test e_fkey-4.1 {
  execsql {
    CREATE TABLE p(i PRIMARY KEY);
    CREATE TABLE c(j REFERENCES p ON UPDATE CASCADE);
    INSERT INTO p VALUES('hello');
................................................................................
    INSERT INTO c VALUES('hello');
    UPDATE p SET i = 'world';
    SELECT * FROM c;
  } 
} {world}

#-------------------------------------------------------------------------
# EVIDENCE-OF: R-15278-54456 The application can can also use a PRAGMA
# foreign_keys statement to determine if foreign keys are currently
# enabled.

#
# This also tests the example code in section 2 of foreignkeys.in.
#
# EVIDENCE-OF: R-11255-19907
# 
reset_db
do_test e_fkey-5.1 {
................................................................................
  } {5}
}

#-------------------------------------------------------------------------
# The setting of the recursive_triggers pragma does not affect foreign
# key actions.
#
# EVIDENCE-OF: R-51769-32730 The PRAGMA recursive_triggers setting does
# not not affect the operation of foreign key actions.
#
foreach recursive_triggers_setting [list 0 1 ON OFF] {
  drop_all_tables
  execsql "PRAGMA recursive_triggers = $recursive_triggers_setting"

  do_test e_fkey-64.$recursive_triggers_setting.1 {
    execsql {







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>







 







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#-------------------------------------------------------------------------
# EVIDENCE-OF: R-07280-60510 Assuming the library is compiled with
# foreign key constraints enabled, it must still be enabled by the
# application at runtime, using the PRAGMA foreign_keys command.
#
# This also tests that foreign key constraints are disabled by default.
#
# EVIDENCE-OF: R-44261-39702 Foreign key constraints are disabled by
# default (for backwards compatibility), so must be enabled separately
# for each database connection.
#
drop_all_tables
do_test e_fkey-4.1 {
  execsql {
    CREATE TABLE p(i PRIMARY KEY);
    CREATE TABLE c(j REFERENCES p ON UPDATE CASCADE);
    INSERT INTO p VALUES('hello');
................................................................................
    INSERT INTO c VALUES('hello');
    UPDATE p SET i = 'world';
    SELECT * FROM c;
  } 
} {world}

#-------------------------------------------------------------------------
# EVIDENCE-OF: R-08013-37737 The application can also use a PRAGMA
# foreign_keys statement to determine if foreign keys are currently
# enabled.

#
# This also tests the example code in section 2 of foreignkeys.in.
#
# EVIDENCE-OF: R-11255-19907
# 
reset_db
do_test e_fkey-5.1 {
................................................................................
  } {5}
}

#-------------------------------------------------------------------------
# The setting of the recursive_triggers pragma does not affect foreign
# key actions.
#
# EVIDENCE-OF: R-44355-00270 The PRAGMA recursive_triggers setting does
# not affect the operation of foreign key actions.
#
foreach recursive_triggers_setting [list 0 1 ON OFF] {
  drop_all_tables
  execsql "PRAGMA recursive_triggers = $recursive_triggers_setting"

  do_test e_fkey-64.$recursive_triggers_setting.1 {
    execsql {

Changes to test/eqp.test.

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  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (UNION ALL)} 
}
do_eqp_test 4.2.3 {
  SELECT * FROM t1 UNION SELECT * FROM t2 ORDER BY 1
} {
  1 0 0 {SCAN TABLE t1} 
  1 0 0 {USE TEMP B-TREE FOR ORDER BY}
  2 0 0 {SCAN TABLE t2} 
  2 0 0 {USE TEMP B-TREE FOR ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (UNION)} 
}
do_eqp_test 4.2.4 {
  SELECT * FROM t1 INTERSECT SELECT * FROM t2 ORDER BY 1
} {
  1 0 0 {SCAN TABLE t1} 
  1 0 0 {USE TEMP B-TREE FOR ORDER BY}
  2 0 0 {SCAN TABLE t2} 
  2 0 0 {USE TEMP B-TREE FOR ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (INTERSECT)} 
}
do_eqp_test 4.2.5 {
  SELECT * FROM t1 EXCEPT SELECT * FROM t2 ORDER BY 1
} {
  1 0 0 {SCAN TABLE t1} 
  1 0 0 {USE TEMP B-TREE FOR ORDER BY}
  2 0 0 {SCAN TABLE t2} 
  2 0 0 {USE TEMP B-TREE FOR ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (EXCEPT)} 
}

do_eqp_test 4.3.1 {
  SELECT x FROM t1 UNION SELECT x FROM t2
} {
  1 0 0 {SCAN TABLE t1} 







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  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (UNION ALL)} 
}
do_eqp_test 4.2.3 {
  SELECT * FROM t1 UNION SELECT * FROM t2 ORDER BY 1
} {
  1 0 0 {SCAN TABLE t1} 
  1 0 0 {USE TEMP B-TREE FOR ORDER BY}
  2 0 0 {SCAN TABLE t2 USING INDEX t2i1} 
  2 0 0 {USE TEMP B-TREE FOR RIGHT PART OF ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (UNION)} 
}
do_eqp_test 4.2.4 {
  SELECT * FROM t1 INTERSECT SELECT * FROM t2 ORDER BY 1
} {
  1 0 0 {SCAN TABLE t1} 
  1 0 0 {USE TEMP B-TREE FOR ORDER BY}
  2 0 0 {SCAN TABLE t2 USING INDEX t2i1} 
  2 0 0 {USE TEMP B-TREE FOR RIGHT PART OF ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (INTERSECT)} 
}
do_eqp_test 4.2.5 {
  SELECT * FROM t1 EXCEPT SELECT * FROM t2 ORDER BY 1
} {
  1 0 0 {SCAN TABLE t1} 
  1 0 0 {USE TEMP B-TREE FOR ORDER BY}
  2 0 0 {SCAN TABLE t2 USING INDEX t2i1} 
  2 0 0 {USE TEMP B-TREE FOR RIGHT PART OF ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (EXCEPT)} 
}

do_eqp_test 4.3.1 {
  SELECT x FROM t1 UNION SELECT x FROM t2
} {
  1 0 0 {SCAN TABLE t1} 

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# Queries use partial indices as appropriate times.
#
do_test index6-2.1 {
  execsql {
    CREATE TABLE t2(a,b);
    INSERT INTO t2(a,b) SELECT value, value FROM nums WHERE value<1000;
    UPDATE t2 SET a=NULL WHERE b%5==0;
    CREATE INDEX t2a1 ON t2(a) WHERE a IS NOT NULL;
    SELECT count(*) FROM t2 WHERE a IS NOT NULL;
  }
} {800}
do_test index6-2.2 {
  execsql {
    EXPLAIN QUERY PLAN
    SELECT * FROM t2 WHERE a=5;
  }
} {/.* TABLE t2 USING INDEX t2a1 .*/}
ifcapable stat4||stat3 {

  do_test index6-2.3stat4 {
    execsql {
      EXPLAIN QUERY PLAN
      SELECT * FROM t2 WHERE a IS NOT NULL;
    }
  } {/.* TABLE t2 USING INDEX t2a1 .*/}
} else {







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# Queries use partial indices as appropriate times.
#
do_test index6-2.1 {
  execsql {
    CREATE TABLE t2(a,b);
    INSERT INTO t2(a,b) SELECT value, value FROM nums WHERE value<1000;
    UPDATE t2 SET a=NULL WHERE b%2==0;
    CREATE INDEX t2a1 ON t2(a) WHERE a IS NOT NULL;
    SELECT count(*) FROM t2 WHERE a IS NOT NULL;
  }
} {500}
do_test index6-2.2 {
  execsql {
    EXPLAIN QUERY PLAN
    SELECT * FROM t2 WHERE a=5;
  }
} {/.* TABLE t2 USING INDEX t2a1 .*/}
ifcapable stat4||stat3 {
  execsql ANALYZE
  do_test index6-2.3stat4 {
    execsql {
      EXPLAIN QUERY PLAN
      SELECT * FROM t2 WHERE a IS NOT NULL;
    }
  } {/.* TABLE t2 USING INDEX t2a1 .*/}
} else {

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  INSERT INTO sqlite_stat1 VALUES('t1','t1bc','1000000 10 9');
  INSERT INTO sqlite_stat1 VALUES('t2','t2bc','100 10 5');
  ANALYZE sqlite_master;

  EXPLAIN QUERY PLAN
  SELECT * FROM t2 WHERE a=0 ORDER BY a, b, c;
} {~/B-TREE/}

do_execsql_test 2.1b {
  EXPLAIN QUERY PLAN
  SELECT * FROM t1 WHERE a=0 ORDER BY a, b, c;
} {/B-TREE/}


do_execsql_test 2.2 {
  EXPLAIN QUERY PLAN
  SELECT * FROM t1 WHERE +a=0 ORDER BY a, b, c;
} {/B-TREE/}
do_execsql_test 2.3 {
  EXPLAIN QUERY PLAN







>


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  INSERT INTO sqlite_stat1 VALUES('t1','t1bc','1000000 10 9');
  INSERT INTO sqlite_stat1 VALUES('t2','t2bc','100 10 5');
  ANALYZE sqlite_master;

  EXPLAIN QUERY PLAN
  SELECT * FROM t2 WHERE a=0 ORDER BY a, b, c;
} {~/B-TREE/}

do_execsql_test 2.1b {
  EXPLAIN QUERY PLAN
  SELECT * FROM t1 WHERE likelihood(a=0, 0.05) ORDER BY a, b, c;
} {/B-TREE/}


do_execsql_test 2.2 {
  EXPLAIN QUERY PLAN
  SELECT * FROM t1 WHERE +a=0 ORDER BY a, b, c;
} {/B-TREE/}
do_execsql_test 2.3 {
  EXPLAIN QUERY PLAN

Added test/orderby7.test.





















































































































































































































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# 2014-04-25
#
# 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.
#
#***********************************************************************
# This file implements regression tests for SQLite library.  The
# focus of this file is testing ORDER BY optimizations on joins
# that involve virtual tables.
#


set testdir [file dirname $argv0]
source $testdir/tester.tcl
set ::testprefix orderby7

ifcapable !fts3 {
  finish_test
  return
}

do_execsql_test 1.0 {
  CREATE VIRTUAL TABLE fts USING fts3(content TEXT);
  INSERT INTO fts(rowid,content)
     VALUES(1,'this is a test of the fts3 virtual'),
           (2,'table used as part of a join together'),
           (3,'with the DISTINCT keyword.  There was'),
           (4,'a bug at one time (2013-06 through 2014-04)'),
           (5,'that prevented this from working correctly.'),
           (11,'a row that occurs twice'),
           (12,'a row that occurs twice');
 
  CREATE TABLE t1(x TEXT PRIMARY KEY, y);
  INSERT OR IGNORE INTO t1 SELECT content, rowid+100 FROM fts;
} {}
do_execsql_test 1.1 {
  SELECT DISTINCT fts.rowid, t1.y
    FROM fts, t1
   WHERE fts MATCH 'that twice'
     AND content=x
   ORDER BY y;
} {11 111 12 111}
do_execsql_test 1.2 {
  SELECT DISTINCT fts.rowid, t1.x
    FROM fts, t1
   WHERE fts MATCH 'that twice'
     AND content=x
   ORDER BY 1;
} {11 {a row that occurs twice} 12 {a row that occurs twice}}
do_execsql_test 1.3 {
  SELECT DISTINCT t1.x
    FROM fts, t1
   WHERE fts MATCH 'that twice'
     AND content=x
   ORDER BY 1;
} {{a row that occurs twice}}
do_execsql_test 1.4 {
  SELECT t1.x
    FROM fts, t1
   WHERE fts MATCH 'that twice'
     AND content=x
   ORDER BY 1;
} {{a row that occurs twice} {a row that occurs twice}}
do_execsql_test 1.5 {
  SELECT DISTINCT t1.x
    FROM fts, t1
   WHERE fts MATCH 'that twice'
     AND content=x;
} {{a row that occurs twice}}
do_execsql_test 1.6 {
  SELECT t1.x
    FROM fts, t1
   WHERE fts MATCH 'that twice'
     AND content=x;
} {{a row that occurs twice} {a row that occurs twice}}

do_execsql_test 2.1 {
  SELECT DISTINCT t1.x
    FROM fts, t1
   WHERE fts.rowid=11
     AND content=x
   ORDER BY fts.rowid;
} {{a row that occurs twice}}
do_execsql_test 2.2 {
  SELECT DISTINCT t1.*
    FROM fts, t1
   WHERE fts.rowid=11
     AND content=x
   ORDER BY fts.rowid;
} {{a row that occurs twice} 111}
do_execsql_test 2.3 {
  SELECT DISTINCT t1.*
    FROM fts, t1
   WHERE fts.rowid=11
     AND content=x
   ORDER BY t1.y
} {{a row that occurs twice} 111}




finish_test

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# explicit sort order and explicit collating secquites) and
# with and without optional LIMIT and OFFSET clauses.
#
# $Id: selectA.test,v 1.6 2008/08/21 14:24:29 drh Exp $

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


ifcapable !compound {
  finish_test
  return
}

do_test selectA-1.0 {
................................................................................
        UNION SELECT a,b,c FROM t3
        ORDER BY y COLLATE NOCASE DESC,x,z)))
      UNION ALL
      SELECT n || '+' FROM xyz WHERE length(n)<5
    )
  SELECT n FROM xyz ORDER BY +n;
} {MAD MAD+ MAD++}

































































finish_test







>







 








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# explicit sort order and explicit collating secquites) and
# with and without optional LIMIT and OFFSET clauses.
#
# $Id: selectA.test,v 1.6 2008/08/21 14:24:29 drh Exp $

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

ifcapable !compound {
  finish_test
  return
}

do_test selectA-1.0 {
................................................................................
        UNION SELECT a,b,c FROM t3
        ORDER BY y COLLATE NOCASE DESC,x,z)))
      UNION ALL
      SELECT n || '+' FROM xyz WHERE length(n)<5
    )
  SELECT n FROM xyz ORDER BY +n;
} {MAD MAD+ MAD++}

#-------------------------------------------------------------------------
# At one point the following code exposed a temp register reuse problem.
#
proc f {args} { return 1 }
db func f f

do_execsql_test 4.1.1 {
  CREATE TABLE t4(a, b);
  CREATE TABLE t5(c, d);

  INSERT INTO t5 VALUES(1, 'x');
  INSERT INTO t5 VALUES(2, 'x');
  INSERT INTO t4 VALUES(3, 'x');
  INSERT INTO t4 VALUES(4, 'x');

  CREATE INDEX i1 ON t4(a);
  CREATE INDEX i2 ON t5(c);
}

do_eqp_test 4.1.2 {
  SELECT c, d FROM t5 
  UNION ALL
  SELECT a, b FROM t4 WHERE f()==f()
  ORDER BY 1,2
} {
  1 0 0 {SCAN TABLE t5 USING INDEX i2} 
  1 0 0 {USE TEMP B-TREE FOR RIGHT PART OF ORDER BY}
  2 0 0 {SCAN TABLE t4 USING INDEX i1} 
  2 0 0 {USE TEMP B-TREE FOR RIGHT PART OF ORDER BY}
  0 0 0 {COMPOUND SUBQUERIES 1 AND 2 (UNION ALL)}
}

do_execsql_test 4.1.3 {
  SELECT c, d FROM t5 
  UNION ALL
  SELECT a, b FROM t4 WHERE f()==f()
  ORDER BY 1,2
} {
  1 x 2 x 3 x 4 x
}

do_execsql_test 4.2.1 {
  CREATE TABLE t6(a, b);
  CREATE TABLE t7(c, d);

  INSERT INTO t7 VALUES(2, 9);
  INSERT INTO t6 VALUES(3, 0);
  INSERT INTO t6 VALUES(4, 1);
  INSERT INTO t7 VALUES(5, 6);
  INSERT INTO t6 VALUES(6, 0);
  INSERT INTO t7 VALUES(7, 6);

  CREATE INDEX i6 ON t6(a);
  CREATE INDEX i7 ON t7(c);
}

do_execsql_test 4.2.2 {
  SELECT c, f(d,c,d,c,d) FROM t7
  UNION ALL
  SELECT a, b FROM t6 
  ORDER BY 1,2
} {/2 . 3 . 4 . 5 . 6 . 7 ./}


finish_test

Added test/show_speedtest1_rtree.tcl.



















































































































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#!/usr/bin/tclsh
#
# This script displays the field of rectangles used by --testset rtree
# of speedtest1.  Run this script as follows:
#
#      rm test.db
#      ./speedtest1 --testset rtree --size 25 test.db
#      sqlite3 --separator ' ' test.db 'SELECT * FROM rt1' >data.txt
#      wish show_speedtest1_rtree.tcl
#
# The filename "data.txt" is hard coded into this script and so that name
# must be used on lines 3 and 4 above.  Elsewhere, different filenames can
# be used.  The --size N parameter can be adjusted as desired.
#
package require Tk
set f [open data.txt rb]
set data [read $f]
close $f
canvas .c
frame .b
button .b.b1 -text X-Y -command refill-xy
button .b.b2 -text X-Z -command refill-xz
button .b.b3 -text Y-Z -command refill-yz
pack .b.b1 .b.b2 .b.b3 -side left
pack .c -side top -fill both -expand 1
pack .b -side top
proc resize_canvas_to_fit {} {
  foreach {x0 y0 x1 y1} [.c bbox all] break
  set w [expr {$x1-$x0}]
  set h [expr {$y1-$y0}]
  .c config -width $w -height $h
}
proc refill-xy {} {
  .c delete all
  foreach {id x0 x1 y0 y1 z0 z1} $::data {
    .c create rectangle $x0 $y0 $x1 $y1
  }
  .c scale all 0 0 0.05 0.05
  resize_canvas_to_fit
}
proc refill-xz {} {
  .c delete all
  foreach {id x0 x1 y0 y1 z0 z1} $::data {
    .c create rectangle $x0 $z0 $x1 $z1
  }
  .c scale all 0 0 0.05 0.05
  resize_canvas_to_fit
}
proc refill-yz {} {
  .c delete all
  foreach {id x0 x1 y0 y1 z0 z1} $::data {
    .c create rectangle $y0 $z0 $y1 $z1
  }
  .c scale all 0 0 0.05 0.05
  resize_canvas_to_fit
}
refill-xy

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#
do_execsql_test skipscan2-1.4 {
  ANALYZE;
  -- We do not have enough people above to actually force the use
  -- of a skip-scan.  So make a manual adjustment to the stat1 table
  -- to make it seem like there are many more.
  UPDATE sqlite_stat1 SET stat='10000 5000 20' WHERE idx='people_idx1';

  ANALYZE sqlite_master;
}
db cache flush
do_execsql_test skipscan2-1.5 {
  SELECT name FROM people WHERE height>=180 ORDER BY +name;
} {David Jack Patrick Quiana Xavier}
do_execsql_test skipscan2-1.5eqp {







>







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#
do_execsql_test skipscan2-1.4 {
  ANALYZE;
  -- We do not have enough people above to actually force the use
  -- of a skip-scan.  So make a manual adjustment to the stat1 table
  -- to make it seem like there are many more.
  UPDATE sqlite_stat1 SET stat='10000 5000 20' WHERE idx='people_idx1';
  UPDATE sqlite_stat1 SET stat='10000 1' WHERE idx='sqlite_autoindex_people_1';
  ANALYZE sqlite_master;
}
db cache flush
do_execsql_test skipscan2-1.5 {
  SELECT name FROM people WHERE height>=180 ORDER BY +name;
} {David Jack Patrick Quiana Xavier}
do_execsql_test skipscan2-1.5eqp {

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  "  --sqlonly           No-op.  Only show the SQL that would have been run.\n"
  "  --size N            Relative test size.  Default=100\n"
  "  --stats             Show statistics at the end\n"
  "  --testset T         Run test-set T\n"
  "  --trace             Turn on SQL tracing\n"
  "  --utf16be           Set text encoding to UTF-16BE\n"
  "  --utf16le           Set text encoding to UTF-16LE\n"

  "  --without-rowid     Use WITHOUT ROWID where appropriate\n"
;


#include "sqlite3.h"
#include <assert.h>
#include <stdio.h>
................................................................................
  sqlite3_stmt *pStmt;       /* Current SQL statement */
  sqlite3_int64 iStart;      /* Start-time for the current test */
  sqlite3_int64 iTotal;      /* Total time */
  int bWithoutRowid;         /* True for --without-rowid */
  int bReprepare;            /* True to reprepare the SQL on each rerun */
  int bSqlOnly;              /* True to print the SQL once only */
  int bExplain;              /* Print SQL with EXPLAIN prefix */

  int szTest;                /* Scale factor for test iterations */
  const char *zWR;           /* Might be WITHOUT ROWID */
  const char *zNN;           /* Might be NOT NULL */
  const char *zPK;           /* Might be UNIQUE or PRIMARY KEY */
  unsigned int x, y;         /* Pseudo-random number generator state */
  int nResult;               /* Size of the current result */
  char zResult[3000];        /* Text of the current result */
................................................................................
    ");",
    nElem, nElem
  );
  speedtest1_run();
  speedtest1_end_test();

}


















































































































































































/*
** A testset used for debugging speedtest1 itself.
*/
void testset_debug1(void){
  unsigned i, n;
  unsigned x1, x2;
................................................................................
        zTSet = argv[++i];
      }else if( strcmp(z,"trace")==0 ){
        doTrace = 1;
      }else if( strcmp(z,"utf16le")==0 ){
        zEncoding = "utf16le";
      }else if( strcmp(z,"utf16be")==0 ){
        zEncoding = "utf16be";


      }else if( strcmp(z,"without-rowid")==0 ){
        g.zWR = "WITHOUT ROWID";
        g.zPK = "PRIMARY KEY";
      }else if( strcmp(z, "help")==0 || strcmp(z,"?")==0 ){
        printf(zHelp, argv[0]);
        exit(0);
      }else{
................................................................................
  if( g.bExplain ) printf(".explain\n.echo on\n");
  if( strcmp(zTSet,"main")==0 ){
    testset_main();
  }else if( strcmp(zTSet,"debug1")==0 ){
    testset_debug1();
  }else if( strcmp(zTSet,"cte")==0 ){
    testset_cte();


  }else{
    fatal_error("unknown testset: \"%s\"\n", zTSet);

  }
  speedtest1_final();

  /* Database connection statistics printed after both prepared statements
  ** have been finalized */
#if SQLITE_VERSION_NUMBER>=3007009
  if( showStats ){







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  "  --sqlonly           No-op.  Only show the SQL that would have been run.\n"
  "  --size N            Relative test size.  Default=100\n"
  "  --stats             Show statistics at the end\n"
  "  --testset T         Run test-set T\n"
  "  --trace             Turn on SQL tracing\n"
  "  --utf16be           Set text encoding to UTF-16BE\n"
  "  --utf16le           Set text encoding to UTF-16LE\n"
  "  --verify            Run additional verification steps.\n"
  "  --without-rowid     Use WITHOUT ROWID where appropriate\n"
;


#include "sqlite3.h"
#include <assert.h>
#include <stdio.h>
................................................................................
  sqlite3_stmt *pStmt;       /* Current SQL statement */
  sqlite3_int64 iStart;      /* Start-time for the current test */
  sqlite3_int64 iTotal;      /* Total time */
  int bWithoutRowid;         /* True for --without-rowid */
  int bReprepare;            /* True to reprepare the SQL on each rerun */
  int bSqlOnly;              /* True to print the SQL once only */
  int bExplain;              /* Print SQL with EXPLAIN prefix */
  int bVerify;               /* Try to verify that results are correct */
  int szTest;                /* Scale factor for test iterations */
  const char *zWR;           /* Might be WITHOUT ROWID */
  const char *zNN;           /* Might be NOT NULL */
  const char *zPK;           /* Might be UNIQUE or PRIMARY KEY */
  unsigned int x, y;         /* Pseudo-random number generator state */
  int nResult;               /* Size of the current result */
  char zResult[3000];        /* Text of the current result */
................................................................................
    ");",
    nElem, nElem
  );
  speedtest1_run();
  speedtest1_end_test();

}

/* Generate two numbers between 1 and mx.  The first number is less than
** the second.  Usually the numbers are near each other but can sometimes
** be far apart.
*/
static void twoCoords(
  int p1, int p2,                   /* Parameters adjusting sizes */
  unsigned mx,                      /* Range of 1..mx */
  unsigned *pX0, unsigned *pX1      /* OUT: write results here */
){
  unsigned d, x0, x1, span;

  span = mx/100 + 1;
  if( speedtest1_random()%3==0 ) span *= p1;
  if( speedtest1_random()%p2==0 ) span = mx/2;
  d = speedtest1_random()%span + 1;
  x0 = speedtest1_random()%(mx-d) + 1;
  x1 = x0 + d;
  *pX0 = x0;
  *pX1 = x1;
}

/* The following routine is an R-Tree geometry callback.  It returns
** true if the object overlaps a slice on the Y coordinate between the
** two values given as arguments.  In other words
**
**     SELECT count(*) FROM rt1 WHERE id MATCH xslice(10,20);
**
** Is the same as saying:
**
**     SELECT count(*) FROM rt1 WHERE y1>=10 AND y0<=20;
*/
static int xsliceGeometryCallback(
  sqlite3_rtree_geometry *p,
  int nCoord,
  double *aCoord,
  int *pRes
){
  *pRes = aCoord[3]>=p->aParam[0] && aCoord[2]<=p->aParam[1];
  return SQLITE_OK;
}

/*
** A testset for the R-Tree virtual table
*/
void testset_rtree(int p1, int p2){
  unsigned i, n;
  unsigned mxCoord;
  unsigned x0, x1, y0, y1, z0, z1;
  unsigned iStep;
  int *aCheck = sqlite3_malloc( sizeof(int)*g.szTest*100 );

  mxCoord = 15000;
  n = g.szTest*100;
  speedtest1_begin_test(100, "%d INSERTs into an r-tree", n);
  speedtest1_exec("BEGIN");
  speedtest1_exec("CREATE VIRTUAL TABLE rt1 USING rtree(id,x0,x1,y0,y1,z0,z1)");
  speedtest1_prepare("INSERT INTO rt1(id,x0,x1,y0,y1,z0,z1)"
                     "VALUES(?1,?2,?3,?4,?5,?6,?7)");
  for(i=1; i<=n; i++){
    twoCoords(p1, p2, mxCoord, &x0, &x1);
    twoCoords(p1, p2, mxCoord, &y0, &y1);
    twoCoords(p1, p2, mxCoord, &z0, &z1);
    sqlite3_bind_int(g.pStmt, 1, i);
    sqlite3_bind_int(g.pStmt, 2, x0);
    sqlite3_bind_int(g.pStmt, 3, x1);
    sqlite3_bind_int(g.pStmt, 4, y0);
    sqlite3_bind_int(g.pStmt, 5, y1);
    sqlite3_bind_int(g.pStmt, 6, z0);
    sqlite3_bind_int(g.pStmt, 7, z1);
    speedtest1_run();
  }
  speedtest1_exec("COMMIT");
  speedtest1_end_test();

  speedtest1_begin_test(101, "Copy from rtree to a regular table");
  speedtest1_exec("CREATE TABLE t1(id INTEGER PRIMARY KEY,x0,x1,y0,y1,z0,z1)");
  speedtest1_exec("INSERT INTO t1 SELECT * FROM rt1");
  speedtest1_end_test();

  n = g.szTest*20;
  speedtest1_begin_test(110, "%d one-dimensional intersect slice queries", n);
  speedtest1_prepare("SELECT count(*) FROM rt1 WHERE x0>=?1 AND x1<=?2");
  iStep = mxCoord/n;
  for(i=0; i<n; i++){
    sqlite3_bind_int(g.pStmt, 1, i*iStep);
    sqlite3_bind_int(g.pStmt, 2, (i+1)*iStep);
    speedtest1_run();
    aCheck[i] = atoi(g.zResult);
  }
  speedtest1_end_test();

  if( g.bVerify ){
    n = g.szTest*20;
    speedtest1_begin_test(111, "Verify result from 1-D intersect slice queries");
    speedtest1_prepare("SELECT count(*) FROM t1 WHERE x0>=?1 AND x1<=?2");
    iStep = mxCoord/n;
    for(i=0; i<n; i++){
      sqlite3_bind_int(g.pStmt, 1, i*iStep);
      sqlite3_bind_int(g.pStmt, 2, (i+1)*iStep);
      speedtest1_run();
      if( aCheck[i]!=atoi(g.zResult) ){
        fatal_error("Count disagree step %d: %d..%d.  %d vs %d",
                    i, i*iStep, (i+1)*iStep, aCheck[i], atoi(g.zResult));
      }
    }
    speedtest1_end_test();
  }
  
  n = g.szTest*20;
  speedtest1_begin_test(120, "%d one-dimensional overlap slice queries", n);
  speedtest1_prepare("SELECT count(*) FROM rt1 WHERE y1>=?1 AND y0<=?2");
  iStep = mxCoord/n;
  for(i=0; i<n; i++){
    sqlite3_bind_int(g.pStmt, 1, i*iStep);
    sqlite3_bind_int(g.pStmt, 2, (i+1)*iStep);
    speedtest1_run();
    aCheck[i] = atoi(g.zResult);
  }
  speedtest1_end_test();

  if( g.bVerify ){
    n = g.szTest*20;
    speedtest1_begin_test(121, "Verify result from 1-D overlap slice queries");
    speedtest1_prepare("SELECT count(*) FROM t1 WHERE y1>=?1 AND y0<=?2");
    iStep = mxCoord/n;
    for(i=0; i<n; i++){
      sqlite3_bind_int(g.pStmt, 1, i*iStep);
      sqlite3_bind_int(g.pStmt, 2, (i+1)*iStep);
      speedtest1_run();
      if( aCheck[i]!=atoi(g.zResult) ){
        fatal_error("Count disagree step %d: %d..%d.  %d vs %d",
                    i, i*iStep, (i+1)*iStep, aCheck[i], atoi(g.zResult));
      }
    }
    speedtest1_end_test();
  }
  

  n = g.szTest*20;
  speedtest1_begin_test(125, "%d custom geometry callback queries", n);
  sqlite3_rtree_geometry_callback(g.db, "xslice", xsliceGeometryCallback, 0);
  speedtest1_prepare("SELECT count(*) FROM rt1 WHERE id MATCH xslice(?1,?2)");
  iStep = mxCoord/n;
  for(i=0; i<n; i++){
    sqlite3_bind_int(g.pStmt, 1, i*iStep);
    sqlite3_bind_int(g.pStmt, 2, (i+1)*iStep);
    speedtest1_run();
    if( aCheck[i]!=atoi(g.zResult) ){
      fatal_error("Count disagree step %d: %d..%d.  %d vs %d",
                  i, i*iStep, (i+1)*iStep, aCheck[i], atoi(g.zResult));
    }
  }
  speedtest1_end_test();

  n = g.szTest*80;
  speedtest1_begin_test(130, "%d three-dimensional intersect box queries", n);
  speedtest1_prepare("SELECT count(*) FROM rt1 WHERE x1>=?1 AND x0<=?2"
                     " AND y1>=?1 AND y0<=?2 AND z1>=?1 AND z0<=?2");
  iStep = mxCoord/n;
  for(i=0; i<n; i++){
    sqlite3_bind_int(g.pStmt, 1, i*iStep);
    sqlite3_bind_int(g.pStmt, 2, (i+1)*iStep);
    speedtest1_run();
    aCheck[i] = atoi(g.zResult);
  }
  speedtest1_end_test();

  n = g.szTest*100;
  speedtest1_begin_test(140, "%d rowid queries", n);
  speedtest1_prepare("SELECT * FROM rt1 WHERE id=?1");
  for(i=1; i<=n; i++){
    sqlite3_bind_int(g.pStmt, 1, i);
    speedtest1_run();
  }
  speedtest1_end_test();
}

/*
** A testset used for debugging speedtest1 itself.
*/
void testset_debug1(void){
  unsigned i, n;
  unsigned x1, x2;
................................................................................
        zTSet = argv[++i];
      }else if( strcmp(z,"trace")==0 ){
        doTrace = 1;
      }else if( strcmp(z,"utf16le")==0 ){
        zEncoding = "utf16le";
      }else if( strcmp(z,"utf16be")==0 ){
        zEncoding = "utf16be";
      }else if( strcmp(z,"verify")==0 ){
        g.bVerify = 1;
      }else if( strcmp(z,"without-rowid")==0 ){
        g.zWR = "WITHOUT ROWID";
        g.zPK = "PRIMARY KEY";
      }else if( strcmp(z, "help")==0 || strcmp(z,"?")==0 ){
        printf(zHelp, argv[0]);
        exit(0);
      }else{
................................................................................
  if( g.bExplain ) printf(".explain\n.echo on\n");
  if( strcmp(zTSet,"main")==0 ){
    testset_main();
  }else if( strcmp(zTSet,"debug1")==0 ){
    testset_debug1();
  }else if( strcmp(zTSet,"cte")==0 ){
    testset_cte();
  }else if( strcmp(zTSet,"rtree")==0 ){
    testset_rtree(6, 147);
  }else{
    fatal_error("unknown testset: \"%s\"\nChoices: main debug1 cte rtree\n",
                 zTSet);
  }
  speedtest1_final();

  /* Database connection statistics printed after both prepared statements
  ** have been finalized */
#if SQLITE_VERSION_NUMBER>=3007009
  if( showStats ){

Added test/tkt-f67b41381a.test.











































































































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# 2014 April 26
#
# 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 ticket f67b41381a has been resolved.
#

set testdir [file dirname $argv0]
source $testdir/tester.tcl
set testprefix tkt-f67b41381a

do_execsql_test 1.0 {
  CREATE TABLE t1(a);
  INSERT INTO t1 VALUES(1);
  ALTER TABLE t1 ADD COLUMN b DEFAULT 2;
  CREATE TABLE t2(a, b);
  INSERT INTO t2 SELECT * FROM t1;
  SELECT * FROM t2;
} {1 2}

db cache size 0
foreach {tn tbls xfer} {
  1 { CREATE TABLE t1(a, b); CREATE TABLE t2(a, b)             }             1
  2 { CREATE TABLE t1(a, b DEFAULT 'x'); CREATE TABLE t2(a, b) }             0
  3 { CREATE TABLE t1(a, b DEFAULT 'x'); CREATE TABLE t2(a, b DEFAULT 'x') } 1
  4 { CREATE TABLE t1(a, b DEFAULT NULL); CREATE TABLE t2(a, b) }            0
  5 { CREATE TABLE t1(a DEFAULT 2, b); CREATE TABLE t2(a DEFAULT 1, b) }     1
  6 { CREATE TABLE t1(a DEFAULT 1, b); CREATE TABLE t2(a DEFAULT 1, b) }     1
  7 { CREATE TABLE t1(a DEFAULT 1, b DEFAULT 1);
      CREATE TABLE t2(a DEFAULT 3, b DEFAULT 1) }                            1
  8 { CREATE TABLE t1(a DEFAULT 1, b DEFAULT 1);
      CREATE TABLE t2(a DEFAULT 3, b DEFAULT 3) }                            0

} {

  execsql { DROP TABLE t1; DROP TABLE t2 }
  execsql $tbls

  set res 1
  db eval { EXPLAIN INSERT INTO t1 SELECT * FROM t2 } {
    if {$opcode == "Column"} { set res 0 }
  }

  do_test 2.$tn [list set res] $xfer
}

finish_test

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  }
  db close
  sqlite3 db test.db
  foreach {tn sql r(ordered) r(unordered)} {
    1   "SELECT * FROM t1 ORDER BY a"
        {0 0 0 {SCAN TABLE t1 USING INDEX i1}}
        {0 0 0 {SCAN TABLE t1} 0 0 0 {USE TEMP B-TREE FOR ORDER BY}}
    2   "SELECT * FROM t1 WHERE a >?"
        {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a>?)}}
        {0 0 0 {SCAN TABLE t1}}
    3   "SELECT * FROM t1 WHERE a = ? ORDER BY rowid"
        {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a=?)}}
        {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a=?)} 
         0 0 0 {USE TEMP B-TREE FOR ORDER BY}}
    4   "SELECT max(a) FROM t1"







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  }
  db close
  sqlite3 db test.db
  foreach {tn sql r(ordered) r(unordered)} {
    1   "SELECT * FROM t1 ORDER BY a"
        {0 0 0 {SCAN TABLE t1 USING INDEX i1}}
        {0 0 0 {SCAN TABLE t1} 0 0 0 {USE TEMP B-TREE FOR ORDER BY}}
    2   "SELECT * FROM t1 WHERE a > 100"
        {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a>?)}}
        {0 0 0 {SCAN TABLE t1}}
    3   "SELECT * FROM t1 WHERE a = ? ORDER BY rowid"
        {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a=?)}}
        {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a=?)} 
         0 0 0 {USE TEMP B-TREE FOR ORDER BY}}
    4   "SELECT max(a) FROM t1"

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    CREATE TABLE t1(a, b);
  }
  file size test.db
} {4096}
do_test wal2-7.1.2 {
  forcecopy test.db test2.db
  forcecopy test.db-wal test2.db-wal






  hexio_write test2.db-wal 48 FF
} {1}
do_test wal2-7.1.3 {
  sqlite3 db2 test2.db
  execsql { PRAGMA wal_checkpoint } db2
  execsql { SELECT * FROM sqlite_master } db2
} {}
db close







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    CREATE TABLE t1(a, b);
  }
  file size test.db
} {4096}
do_test wal2-7.1.2 {
  forcecopy test.db test2.db
  forcecopy test.db-wal test2.db-wal
  # The first 32 bytes of the WAL file contain the WAL header. Offset 48
  # is the first byte of the checksum for the first frame in the WAL. 
  # The following three lines replaces the contents of that byte with 
  # a different value.
  set newval FF
  if {$newval == [hexio_read test2.db-wal 48 1]} { set newval 00 }
  hexio_write test2.db-wal 48 $newval
} {1}
do_test wal2-7.1.3 {
  sqlite3 db2 test2.db
  execsql { PRAGMA wal_checkpoint } db2
  execsql { SELECT * FROM sqlite_master } db2
} {}
db close

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# the planner into use a table for the outer loop that might be indexable
# if held until an inner loop.
# 
do_execsql_test where3-3.0 {
  CREATE TABLE t301(a INTEGER PRIMARY KEY,b,c);
  CREATE INDEX t301c ON t301(c);
  INSERT INTO t301 VALUES(1,2,3);

  CREATE TABLE t302(x, y);
  INSERT INTO t302 VALUES(4,5);
  ANALYZE;
  explain query plan SELECT * FROM t302, t301 WHERE t302.x=5 AND t301.a=t302.y;
} {
  0 0 0 {SCAN TABLE t302} 
  0 1 1 {SEARCH TABLE t301 USING INTEGER PRIMARY KEY (rowid=?)}
................................................................................
  0 1 0 {SEARCH TABLE t301 USING INTEGER PRIMARY KEY (rowid=?)}
}
do_execsql_test where3-3.2 {
  SELECT * FROM t301 WHERE c=3 AND a IS NULL;
} {}
do_execsql_test where3-3.3 {
  SELECT * FROM t301 WHERE c=3 AND a IS NOT NULL;
} {1 2 3}

if 0 {  # Query planner no longer does this
# Verify that when there are multiple tables in a join which must be
# full table scans that the query planner attempts put the table with
# the fewest number of output rows as the outer loop.
#
do_execsql_test where3-4.0 {







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# the planner into use a table for the outer loop that might be indexable
# if held until an inner loop.
# 
do_execsql_test where3-3.0 {
  CREATE TABLE t301(a INTEGER PRIMARY KEY,b,c);
  CREATE INDEX t301c ON t301(c);
  INSERT INTO t301 VALUES(1,2,3);
  INSERT INTO t301 VALUES(2,2,3);
  CREATE TABLE t302(x, y);
  INSERT INTO t302 VALUES(4,5);
  ANALYZE;
  explain query plan SELECT * FROM t302, t301 WHERE t302.x=5 AND t301.a=t302.y;
} {
  0 0 0 {SCAN TABLE t302} 
  0 1 1 {SEARCH TABLE t301 USING INTEGER PRIMARY KEY (rowid=?)}
................................................................................
  0 1 0 {SEARCH TABLE t301 USING INTEGER PRIMARY KEY (rowid=?)}
}
do_execsql_test where3-3.2 {
  SELECT * FROM t301 WHERE c=3 AND a IS NULL;
} {}
do_execsql_test where3-3.3 {
  SELECT * FROM t301 WHERE c=3 AND a IS NOT NULL;
} {1 2 3 2 2 3}

if 0 {  # Query planner no longer does this
# Verify that when there are multiple tables in a join which must be
# full table scans that the query planner attempts put the table with
# the fewest number of output rows as the outer loop.
#
do_execsql_test where3-4.0 {

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#***********************************************************************
# 
# Test cases for query planning decisions and the unlikely() and
# likelihood() functions.

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


do_execsql_test whereG-1.0 {
  CREATE TABLE composer(
    cid INTEGER PRIMARY KEY,
    cname TEXT
  );
  CREATE TABLE album(
................................................................................
  INSERT INTO t4 VALUES('right'),('wrong');
  SELECT DISTINCT x
   FROM (SELECT x FROM t4 GROUP BY x)
   WHERE x='right'
   ORDER BY x;
} {right}










































finish_test








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#***********************************************************************
# 
# Test cases for query planning decisions and the unlikely() and
# likelihood() functions.

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

do_execsql_test whereG-1.0 {
  CREATE TABLE composer(
    cid INTEGER PRIMARY KEY,
    cname TEXT
  );
  CREATE TABLE album(
................................................................................
  INSERT INTO t4 VALUES('right'),('wrong');
  SELECT DISTINCT x
   FROM (SELECT x FROM t4 GROUP BY x)
   WHERE x='right'
   ORDER BY x;
} {right}

#-------------------------------------------------------------------------
# Test that likelihood() specifications on indexed terms are taken into 
# account by various forms of loops.
#
#   5.1.*: open ended range scans
#   5.2.*: skip-scans
#
reset_db

do_execsql_test 5.1 {
  CREATE TABLE t1(a, b, c);
  CREATE INDEX i1 ON t1(a, b);
}
do_eqp_test 5.1.2 {
  SELECT * FROM t1 WHERE a>?
} {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a>?)}}
do_eqp_test 5.1.3 {
  SELECT * FROM t1 WHERE likelihood(a>?, 0.9)
} {0 0 0 {SCAN TABLE t1}}

do_test 5.2 {
  for {set i 0} {$i < 100} {incr i} {
    execsql { INSERT INTO t1 VALUES('abc', $i, $i); }
  }
  execsql { INSERT INTO t1 SELECT 'def', b, c FROM t1; }
  execsql { ANALYZE }
} {}
do_eqp_test 5.2.2 {
  SELECT * FROM t1 WHERE likelihood(b>?, 0.01)
} {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (ANY(a) AND b>?)}}
do_eqp_test 5.2.3 {
  SELECT * FROM t1 WHERE likelihood(b>?, 0.9)
} {0 0 0 {SCAN TABLE t1}}

do_eqp_test 5.3.1 {
  SELECT * FROM t1 WHERE a=?
} {0 0 0 {SEARCH TABLE t1 USING INDEX i1 (a=?)}}
do_eqp_test 5.3.2 {
  SELECT * FROM t1 WHERE likelihood(a=?, 0.9)
} {0 0 0 {SCAN TABLE t1}}

finish_test

Changes to tool/logest.c.

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  return (n+8)>>(3-x);
}
static LogEst logEstFromDouble(double x){
  sqlite3_uint64 a;
  LogEst e;
  assert( sizeof(x)==8 && sizeof(a)==8 );
  if( x<=0.0 ) return -32768;
  if( x<1.0 ) return -logEstFromDouble(1/x);

  if( x<1024.0 ) return logEstFromInteger((sqlite3_uint64)(1024.0*x)) - 100;
  if( x<=2000000000.0 ) return logEstFromInteger((sqlite3_uint64)x);
  memcpy(&a, &x, 8);
  e = (a>>52) - 1022;
  return e*10;
}

................................................................................
    }else if( isFloat(z) && z[0]!='-' ){
      a[n++] = logEstFromDouble(atof(z));
    }else{
      showHelp(argv[0]);
    }
  }
  for(i=n-1; i>=0; i--){
    if( a[i]<0 ){
      printf("%5d (%f)\n", a[i], 1.0/(double)logEstToInt(-a[i]));


    }else{
      sqlite3_uint64 x = logEstToInt(a[i]+100)*100/1024;
      printf("%5d (%lld.%02lld)\n", a[i], x/100, x%100);
    }
  }
  return 0;
}







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  return (n+8)>>(3-x);
}
static LogEst logEstFromDouble(double x){
  sqlite3_uint64 a;
  LogEst e;
  assert( sizeof(x)==8 && sizeof(a)==8 );
  if( x<=0.0 ) return -32768;
  if( x<0.01 ) return -logEstFromDouble(1.0/x);
  if( x<1.0 ) return logEstFromDouble(100.0*x) - 66;
  if( x<1024.0 ) return logEstFromInteger((sqlite3_uint64)(1024.0*x)) - 100;
  if( x<=2000000000.0 ) return logEstFromInteger((sqlite3_uint64)x);
  memcpy(&a, &x, 8);
  e = (a>>52) - 1022;
  return e*10;
}

................................................................................
    }else if( isFloat(z) && z[0]!='-' ){
      a[n++] = logEstFromDouble(atof(z));
    }else{
      showHelp(argv[0]);
    }
  }
  for(i=n-1; i>=0; i--){
    if( a[i]<-40 ){
      printf("%5d (%f)\n", a[i], 1.0/(double)logEstToInt(-a[i]));
    }else if( a[i]<10 ){
      printf("%5d (%f)\n", a[i], logEstToInt(a[i]+100)/1024.0);
    }else{
      sqlite3_uint64 x = logEstToInt(a[i]+100)*100/1024;
      printf("%5d (%lld.%02lld)\n", a[i], x/100, x%100);
    }
  }
  return 0;
}