** The data structure for a single virtual r-tree table is stored in three 
** native SQLite tables declared as follows. In each case, the '%' character
** in the table name is replaced with the user-supplied name of the r-tree
** table.
**
**   CREATE TABLE %_node(nodeno INTEGER PRIMARY KEY, data BLOB)
**   CREATE TABLE %_parent(nodeno INTEGER PRIMARY KEY, parentnode INTEGER)
**   CREATE TABLE %_rowid(rowid INTEGER PRIMARY KEY, nodeno INTEGER)
**
** The data for each node of the r-tree structure is stored in the %_node
** table. For each node that is not the root node of the r-tree, there is
** an entry in the %_parent table associating the node with its parent.
** And for each row of data in the table, there is an entry in the %_rowid
** table that maps from the entries rowid to the id of the node that it
** is stored on.

**
** The root node of an r-tree always exists, even if the r-tree table is
** empty. The nodeno of the root node is always 1. All other nodes in the
** table must be the same size as the root node. The content of each node
** is formatted as follows:
**
**   1. If the node is the root node (node 1), then the first 2 bytes
................................................................................
      ** a single row.
      */ 
      pIdxInfo->estimatedCost = 30.0;
      pIdxInfo->estimatedRows = 1;
      return SQLITE_OK;
    }



    if( p->usable && (p->iColumn>0 || p->op==SQLITE_INDEX_CONSTRAINT_MATCH) ){

      u8 op;
      switch( p->op ){
        case SQLITE_INDEX_CONSTRAINT_EQ: op = RTREE_EQ; break;
        case SQLITE_INDEX_CONSTRAINT_GT: op = RTREE_GT; break;
        case SQLITE_INDEX_CONSTRAINT_LE: op = RTREE_LE; break;
        case SQLITE_INDEX_CONSTRAINT_LT: op = RTREE_LT; break;
        case SQLITE_INDEX_CONSTRAINT_GE: op = RTREE_GE; break;
................................................................................
  /* Create/Connect to the underlying relational database schema. If
  ** that is successful, call sqlite3_declare_vtab() to configure
  ** the r-tree table schema.
  */
  pSql = sqlite3_str_new(db);
  sqlite3_str_appendf(pSql, "CREATE TABLE x(%s", argv[3]);
  for(ii=4; ii<argc; ii++){
    if( sqlite3_strlike("aux:%", argv[ii], 0)==0 ){
      pRtree->nAux++;
      sqlite3_str_appendf(pSql, ",%s", argv[ii]+4);
    }else if( pRtree->nAux>0 ){
      break;
    }else{
      pRtree->nDim2++;
      sqlite3_str_appendf(pSql, ",%s", argv[ii]);
    }
  }
................................................................................

/*
** This function is used to check that the %_parent (if bLeaf==0) or %_rowid
** (if bLeaf==1) table contains a specified entry. The schemas of the
** two tables are:
**
**   CREATE TABLE %_parent(nodeno INTEGER PRIMARY KEY, parentnode INTEGER)
**   CREATE TABLE %_rowid(rowid INTEGER PRIMARY KEY, nodeno INTEGER)
**
** In both cases, this function checks that there exists an entry with
** IPK value iKey and the second column set to iVal.
**
*/
static void rtreeCheckMapping(
  RtreeCheck *pCheck,             /* RtreeCheck object */
................................................................................
  int bLeaf,                      /* True for a leaf cell, false for interior */
  i64 iKey,                       /* Key for mapping */
  i64 iVal                        /* Expected value for mapping */
){
  int rc;
  sqlite3_stmt *pStmt;
  const char *azSql[2] = {
    "SELECT parentnode FROM %Q.'%q_parent' WHERE nodeno=?",
    "SELECT nodeno FROM %Q.'%q_rowid' WHERE rowid=?"
  };

  assert( bLeaf==0 || bLeaf==1 );
  if( pCheck->aCheckMapping[bLeaf]==0 ){
    pCheck->aCheckMapping[bLeaf] = rtreeCheckPrepare(pCheck,
        azSql[bLeaf], pCheck->zDb, pCheck->zTab
    );

** The data structure for a single virtual r-tree table is stored in three 
** native SQLite tables declared as follows. In each case, the '%' character
** in the table name is replaced with the user-supplied name of the r-tree
** table.
**
**   CREATE TABLE %_node(nodeno INTEGER PRIMARY KEY, data BLOB)
**   CREATE TABLE %_parent(nodeno INTEGER PRIMARY KEY, parentnode INTEGER)
**   CREATE TABLE %_rowid(rowid INTEGER PRIMARY KEY, nodeno INTEGER, ...)
**
** The data for each node of the r-tree structure is stored in the %_node
** table. For each node that is not the root node of the r-tree, there is
** an entry in the %_parent table associating the node with its parent.
** And for each row of data in the table, there is an entry in the %_rowid
** table that maps from the entries rowid to the id of the node that it
** is stored on.  If the r-tree contains auxiliary columns, those are stored
** on the end of the %_rowid table.
**
** The root node of an r-tree always exists, even if the r-tree table is
** empty. The nodeno of the root node is always 1. All other nodes in the
** table must be the same size as the root node. The content of each node
** is formatted as follows:
**
**   1. If the node is the root node (node 1), then the first 2 bytes
................................................................................
      ** a single row.
      */ 
      pIdxInfo->estimatedCost = 30.0;
      pIdxInfo->estimatedRows = 1;
      return SQLITE_OK;
    }

    if( p->usable
    && ((p->iColumn>0 && p->iColumn<=pRtree->nDim2)
        || p->op==SQLITE_INDEX_CONSTRAINT_MATCH)
    ){
      u8 op;
      switch( p->op ){
        case SQLITE_INDEX_CONSTRAINT_EQ: op = RTREE_EQ; break;
        case SQLITE_INDEX_CONSTRAINT_GT: op = RTREE_GT; break;
        case SQLITE_INDEX_CONSTRAINT_LE: op = RTREE_LE; break;
        case SQLITE_INDEX_CONSTRAINT_LT: op = RTREE_LT; break;
        case SQLITE_INDEX_CONSTRAINT_GE: op = RTREE_GE; break;
................................................................................
  /* Create/Connect to the underlying relational database schema. If
  ** that is successful, call sqlite3_declare_vtab() to configure
  ** the r-tree table schema.
  */
  pSql = sqlite3_str_new(db);
  sqlite3_str_appendf(pSql, "CREATE TABLE x(%s", argv[3]);
  for(ii=4; ii<argc; ii++){
    if( argv[ii][0]=='+' ){
      pRtree->nAux++;
      sqlite3_str_appendf(pSql, ",%s", argv[ii]+1);
    }else if( pRtree->nAux>0 ){
      break;
    }else{
      pRtree->nDim2++;
      sqlite3_str_appendf(pSql, ",%s", argv[ii]);
    }
  }
................................................................................

/*
** This function is used to check that the %_parent (if bLeaf==0) or %_rowid
** (if bLeaf==1) table contains a specified entry. The schemas of the
** two tables are:
**
**   CREATE TABLE %_parent(nodeno INTEGER PRIMARY KEY, parentnode INTEGER)
**   CREATE TABLE %_rowid(rowid INTEGER PRIMARY KEY, nodeno INTEGER, ...)
**
** In both cases, this function checks that there exists an entry with
** IPK value iKey and the second column set to iVal.
**
*/
static void rtreeCheckMapping(
  RtreeCheck *pCheck,             /* RtreeCheck object */
................................................................................
  int bLeaf,                      /* True for a leaf cell, false for interior */
  i64 iKey,                       /* Key for mapping */
  i64 iVal                        /* Expected value for mapping */
){
  int rc;
  sqlite3_stmt *pStmt;
  const char *azSql[2] = {
    "SELECT parentnode FROM %Q.'%q_parent' WHERE nodeno=?1",
    "SELECT nodeno FROM %Q.'%q_rowid' WHERE rowid=?1"
  };

  assert( bLeaf==0 || bLeaf==1 );
  if( pCheck->aCheckMapping[bLeaf]==0 ){
    pCheck->aCheckMapping[bLeaf] = rtreeCheckPrepare(pCheck,
        azSql[bLeaf], pCheck->zDb, pCheck->zTab
    );

} -body {
  execsql { DROP TABLE rt } 
}

do_malloc_test rtree3-3.prep {
  faultsim_delete_and_reopen
  execsql {
    CREATE VIRTUAL TABLE rt USING rtree(ii, x1, x2, y1, y2);
    INSERT INTO rt VALUES(NULL, 3, 5, 7, 9);
  }
  faultsim_save_and_close
} {}

do_faultsim_test rtree3-3a -faults oom* -prep {
  faultsim_restore_and_reopen

} -body {
  execsql { DROP TABLE rt } 
}

do_malloc_test rtree3-3.prep {
  faultsim_delete_and_reopen
  execsql {
    CREATE VIRTUAL TABLE rt USING rtree(ii, x1, x2, y1, y2, +a1, +a2);
    INSERT INTO rt VALUES(NULL, 3, 5, 7, 9);
  }
  faultsim_save_and_close
} {}

do_faultsim_test rtree3-3a -faults oom* -prep {
  faultsim_restore_and_reopen

#--------------------------------------------------------------------
# Test that the sqlite_stat1 data is used correctly.
#
reset_db
do_execsql_test 5.1 {
  CREATE TABLE t1(x PRIMARY KEY, y);
  CREATE VIRTUAL TABLE rt USING rtree(id, x1, x2);

  INSERT INTO t1(x) VALUES(1);
  INSERT INTO t1(x) SELECT x+1 FROM t1;   --   2
  INSERT INTO t1(x) SELECT x+2 FROM t1;   --   4
  INSERT INTO t1(x) SELECT x+4 FROM t1;   --   8
  INSERT INTO t1(x) SELECT x+8 FROM t1;   --  16
  INSERT INTO t1(x) SELECT x+16 FROM t1;  --  32
  INSERT INTO t1(x) SELECT x+32 FROM t1;  --  64
  INSERT INTO t1(x) SELECT x+64 FROM t1;  -- 128
  INSERT INTO t1(x) SELECT x+128 FROM t1; -- 256
  INSERT INTO t1(x) SELECT x+256 FROM t1; -- 512
  INSERT INTO t1(x) SELECT x+512 FROM t1; --1024

  INSERT INTO rt SELECT x, x, x+1 FROM t1 WHERE x<=5;
}
do_rtree_integrity_test 5.1.1 rt

# First test a query with no ANALYZE data at all. The outer loop is
# real table "t1".
#
do_eqp_test 5.2 {

#--------------------------------------------------------------------
# Test that the sqlite_stat1 data is used correctly.
#
reset_db
do_execsql_test 5.1 {
  CREATE TABLE t1(x PRIMARY KEY, y);
  CREATE VIRTUAL TABLE rt USING rtree(id, x1, x2, +d1);

  INSERT INTO t1(x) VALUES(1);
  INSERT INTO t1(x) SELECT x+1 FROM t1;   --   2
  INSERT INTO t1(x) SELECT x+2 FROM t1;   --   4
  INSERT INTO t1(x) SELECT x+4 FROM t1;   --   8
  INSERT INTO t1(x) SELECT x+8 FROM t1;   --  16
  INSERT INTO t1(x) SELECT x+16 FROM t1;  --  32
  INSERT INTO t1(x) SELECT x+32 FROM t1;  --  64
  INSERT INTO t1(x) SELECT x+64 FROM t1;  -- 128
  INSERT INTO t1(x) SELECT x+128 FROM t1; -- 256
  INSERT INTO t1(x) SELECT x+256 FROM t1; -- 512
  INSERT INTO t1(x) SELECT x+512 FROM t1; --1024

  INSERT INTO rt SELECT x, x, x+1, printf('x%04xy',x) FROM t1 WHERE x<=5;
}
do_rtree_integrity_test 5.1.1 rt

# First test a query with no ANALYZE data at all. The outer loop is
# real table "t1".
#
do_eqp_test 5.2 {

# 2018-05-16
#
# 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 the
# auxiliary column mechanism.

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

do_execsql_test rtreeH-100 {
  CREATE VIRTUAL TABLE t1 USING rtree(id,x0,x1,y0,y1,+label,+other);
  INSERT INTO t1(x0,x1,y0,y1,label) VALUES
    (0,10,0,10,'lower-left corner'),
    (0,10,90,100,'upper-left corner'),
    (90,100,0,10,'lower-right corner'),
    (90,100,90,100,'upper-right corner'),
    (40,60,40,60,'center'),
    (0,5,0,100,'left edge'),
    (95,100,0,100,'right edge'),
    (0,100,0,5,'bottom edge'),
    (0,100,95,100,'top edge'),
    (0,100,0,100,'the whole thing'),
    (0,50,0,100,'left half'),
    (51,100,0,100,'right half'),
    (0,100,0,50,'bottom half'),
    (0,100,51,100,'top half');
} {}
do_execsql_test rtreeH-101 {
  SELECT * FROM t1_rowid ORDER BY rowid
} {1 1 {lower-left corner} {} 2 1 {upper-left corner} {} 3 1 {lower-right corner} {} 4 1 {upper-right corner} {} 5 1 center {} 6 1 {left edge} {} 7 1 {right edge} {} 8 1 {bottom edge} {} 9 1 {top edge} {} 10 1 {the whole thing} {} 11 1 {left half} {} 12 1 {right half} {} 13 1 {bottom half} {} 14 1 {top half} {}}

do_execsql_test rtreeH-102 {
  SELECT * FROM t1 WHERE rowid=5;
} {5 40.0 60.0 40.0 60.0 center {}}
do_execsql_test rtreeH-103 {
  SELECT * FROM t1 WHERE label='center';
} {5 40.0 60.0 40.0 60.0 center {}}

do_rtree_integrity_test rtreeH-110 t1

do_execsql_test rtreeH-120 {
  SELECT label FROM t1 WHERE x1<=50 ORDER BY id
} {{lower-left corner} {upper-left corner} {left edge} {left half}}
do_execsql_test rtreeH-121 {
  SELECT label FROM t1 WHERE x1<=50 AND label NOT LIKE '%corner%' ORDER BY id
} {{left edge} {left half}}

do_execsql_test rtreeH-200 {
  WITH RECURSIVE
    c1(x) AS (VALUES(0) UNION ALL SELECT x+1 FROM c1 WHERE x<99),
    c2(y) AS (VALUES(0) UNION ALL SELECT y+1 FROM c2 WHERE y<99)
  INSERT INTO t1(id, x0,x1,y0,y1,label)
    SELECT 1000+x+y*100, x, x+1, y, y+1, printf('box-%d,%d',x,y) FROM c1, c2;
} {}

do_execsql_test rtreeH-210 {
  SELECT label FROM t1 WHERE x0>=48 AND x1<=50 AND y0>=48 AND y1<=50
     ORDER BY id;
} {box-48,48 box-49,48 box-48,49 box-49,49}

do_execsql_test rtreeH-300 {
  UPDATE t1 SET label='x'||label
    WHERE x0>=49 AND x1<=50 AND y0>=49 AND y1<=50;
  SELECT label FROM t1 WHERE x0>=48 AND x1<=50 AND y0>=48 AND y1<=50
     ORDER BY id;
} {box-48,48 box-49,48 box-48,49 xbox-49,49}


finish_test