xref: /sqlite-3.40.0/ext/rtree/rtree_util.tcl (revision ebaecc14)
1*ebaecc14Sdanielk1977# 2008 Feb 19
2*ebaecc14Sdanielk1977#
3*ebaecc14Sdanielk1977# The author disclaims copyright to this source code.  In place of
4*ebaecc14Sdanielk1977# a legal notice, here is a blessing:
5*ebaecc14Sdanielk1977#
6*ebaecc14Sdanielk1977#    May you do good and not evil.
7*ebaecc14Sdanielk1977#    May you find forgiveness for yourself and forgive others.
8*ebaecc14Sdanielk1977#    May you share freely, never taking more than you give.
9*ebaecc14Sdanielk1977#
10*ebaecc14Sdanielk1977#***********************************************************************
11*ebaecc14Sdanielk1977#
12*ebaecc14Sdanielk1977# This file contains Tcl code that may be useful for testing or
13*ebaecc14Sdanielk1977# analyzing r-tree structures created with this module. It is
14*ebaecc14Sdanielk1977# used by both test procedures and the r-tree viewer application.
15*ebaecc14Sdanielk1977#
16*ebaecc14Sdanielk1977# $Id: rtree_util.tcl,v 1.1 2008/05/26 18:41:54 danielk1977 Exp $
17*ebaecc14Sdanielk1977#
18*ebaecc14Sdanielk1977
19*ebaecc14Sdanielk1977
20*ebaecc14Sdanielk1977#--------------------------------------------------------------------------
21*ebaecc14Sdanielk1977# PUBLIC API:
22*ebaecc14Sdanielk1977#
23*ebaecc14Sdanielk1977#   rtree_depth
24*ebaecc14Sdanielk1977#   rtree_ndim
25*ebaecc14Sdanielk1977#   rtree_node
26*ebaecc14Sdanielk1977#   rtree_mincells
27*ebaecc14Sdanielk1977#   rtree_check
28*ebaecc14Sdanielk1977#   rtree_dump
29*ebaecc14Sdanielk1977#   rtree_treedump
30*ebaecc14Sdanielk1977#
31*ebaecc14Sdanielk1977
32*ebaecc14Sdanielk1977proc rtree_depth {db zTab} {
33*ebaecc14Sdanielk1977  $db one "SELECT rtreedepth(data) FROM ${zTab}_node WHERE nodeno=1"
34*ebaecc14Sdanielk1977}
35*ebaecc14Sdanielk1977
36*ebaecc14Sdanielk1977proc rtree_nodedepth {db zTab iNode} {
37*ebaecc14Sdanielk1977  set iDepth [rtree_depth $db $zTab]
38*ebaecc14Sdanielk1977
39*ebaecc14Sdanielk1977  set ii $iNode
40*ebaecc14Sdanielk1977  while {$ii != 1} {
41*ebaecc14Sdanielk1977    set sql "SELECT parentnode FROM ${zTab}_parent WHERE nodeno = $ii"
42*ebaecc14Sdanielk1977    set ii [db one $sql]
43*ebaecc14Sdanielk1977    incr iDepth -1
44*ebaecc14Sdanielk1977  }
45*ebaecc14Sdanielk1977
46*ebaecc14Sdanielk1977  return $iDepth
47*ebaecc14Sdanielk1977}
48*ebaecc14Sdanielk1977
49*ebaecc14Sdanielk1977# Return the number of dimensions of the rtree.
50*ebaecc14Sdanielk1977#
51*ebaecc14Sdanielk1977proc rtree_ndim {db zTab} {
52*ebaecc14Sdanielk1977  set nDim [expr {(([llength [$db eval "pragma table_info($zTab)"]]/6)-1)/2}]
53*ebaecc14Sdanielk1977}
54*ebaecc14Sdanielk1977
55*ebaecc14Sdanielk1977# Return the contents of rtree node $iNode.
56*ebaecc14Sdanielk1977#
57*ebaecc14Sdanielk1977proc rtree_node {db zTab iNode {iPrec 6}} {
58*ebaecc14Sdanielk1977  set nDim [rtree_ndim $db $zTab]
59*ebaecc14Sdanielk1977  set sql "
60*ebaecc14Sdanielk1977    SELECT rtreenode($nDim, data) FROM ${zTab}_node WHERE nodeno = $iNode
61*ebaecc14Sdanielk1977  "
62*ebaecc14Sdanielk1977  set node [db one $sql]
63*ebaecc14Sdanielk1977
64*ebaecc14Sdanielk1977  set nCell [llength $node]
65*ebaecc14Sdanielk1977  set nCoord [expr $nDim*2]
66*ebaecc14Sdanielk1977  for {set ii 0} {$ii < $nCell} {incr ii} {
67*ebaecc14Sdanielk1977    for {set jj 1} {$jj <= $nCoord} {incr jj} {
68*ebaecc14Sdanielk1977      set newval [format "%.${iPrec}f" [lindex $node $ii $jj]]
69*ebaecc14Sdanielk1977      lset node $ii $jj $newval
70*ebaecc14Sdanielk1977    }
71*ebaecc14Sdanielk1977  }
72*ebaecc14Sdanielk1977  set node
73*ebaecc14Sdanielk1977}
74*ebaecc14Sdanielk1977
75*ebaecc14Sdanielk1977proc rtree_mincells {db zTab} {
76*ebaecc14Sdanielk1977  set n [$db one "select length(data) FROM ${zTab}_node LIMIT 1"]
77*ebaecc14Sdanielk1977  set nMax [expr {int(($n-4)/(8+[rtree_ndim $db $zTab]*2*4))}]
78*ebaecc14Sdanielk1977  return [expr {int($nMax/3)}]
79*ebaecc14Sdanielk1977}
80*ebaecc14Sdanielk1977
81*ebaecc14Sdanielk1977# An integrity check for the rtree $zTab accessible via database
82*ebaecc14Sdanielk1977# connection $db.
83*ebaecc14Sdanielk1977#
84*ebaecc14Sdanielk1977proc rtree_check {db zTab} {
85*ebaecc14Sdanielk1977  array unset ::checked
86*ebaecc14Sdanielk1977
87*ebaecc14Sdanielk1977  # Check each r-tree node.
88*ebaecc14Sdanielk1977  set rc [catch {
89*ebaecc14Sdanielk1977    rtree_node_check $db $zTab 1 [rtree_depth $db $zTab]
90*ebaecc14Sdanielk1977  } msg]
91*ebaecc14Sdanielk1977  if {$rc && $msg ne ""} { error $msg }
92*ebaecc14Sdanielk1977
93*ebaecc14Sdanielk1977  # Check that the _rowid and _parent tables have the right
94*ebaecc14Sdanielk1977  # number of entries.
95*ebaecc14Sdanielk1977  set nNode   [$db one "SELECT count(*) FROM ${zTab}_node"]
96*ebaecc14Sdanielk1977  set nRow    [$db one "SELECT count(*) FROM ${zTab}"]
97*ebaecc14Sdanielk1977  set nRowid  [$db one "SELECT count(*) FROM ${zTab}_rowid"]
98*ebaecc14Sdanielk1977  set nParent [$db one "SELECT count(*) FROM ${zTab}_parent"]
99*ebaecc14Sdanielk1977
100*ebaecc14Sdanielk1977  if {$nNode != ($nParent+1)} {
101*ebaecc14Sdanielk1977    error "Wrong number of entries in ${zTab}_parent"
102*ebaecc14Sdanielk1977  }
103*ebaecc14Sdanielk1977  if {$nRow != $nRowid} {
104*ebaecc14Sdanielk1977    error "Wrong number of entries in ${zTab}_rowid"
105*ebaecc14Sdanielk1977  }
106*ebaecc14Sdanielk1977
107*ebaecc14Sdanielk1977  return $rc
108*ebaecc14Sdanielk1977}
109*ebaecc14Sdanielk1977
110*ebaecc14Sdanielk1977proc rtree_node_check {db zTab iNode iDepth} {
111*ebaecc14Sdanielk1977  if {[info exists ::checked($iNode)]} { error "Second ref to $iNode" }
112*ebaecc14Sdanielk1977  set ::checked($iNode) 1
113*ebaecc14Sdanielk1977
114*ebaecc14Sdanielk1977  set node [rtree_node $db $zTab $iNode]
115*ebaecc14Sdanielk1977  if {$iNode!=1 && [llength $node]==0} { error "No such node: $iNode" }
116*ebaecc14Sdanielk1977
117*ebaecc14Sdanielk1977  if {$iNode != 1 && [llength $node]<[rtree_mincells $db $zTab]} {
118*ebaecc14Sdanielk1977    puts "Node $iNode: Has only [llength $node] cells"
119*ebaecc14Sdanielk1977    error ""
120*ebaecc14Sdanielk1977  }
121*ebaecc14Sdanielk1977  if {$iNode == 1 && [llength $node]==1 && [rtree_depth $db $zTab]>0} {
122*ebaecc14Sdanielk1977    set depth [rtree_depth $db $zTab]
123*ebaecc14Sdanielk1977    puts "Node $iNode: Has only 1 child (tree depth is $depth)"
124*ebaecc14Sdanielk1977    error ""
125*ebaecc14Sdanielk1977  }
126*ebaecc14Sdanielk1977
127*ebaecc14Sdanielk1977  set nDim [expr {([llength [lindex $node 0]]-1)/2}]
128*ebaecc14Sdanielk1977
129*ebaecc14Sdanielk1977  if {$iDepth > 0} {
130*ebaecc14Sdanielk1977    set d [expr $iDepth-1]
131*ebaecc14Sdanielk1977    foreach cell $node {
132*ebaecc14Sdanielk1977      set shouldbe [rtree_node_check $db $zTab [lindex $cell 0] $d]
133*ebaecc14Sdanielk1977      if {$cell ne $shouldbe} {
134*ebaecc14Sdanielk1977        puts "Node $iNode: Cell is: {$cell}, should be {$shouldbe}"
135*ebaecc14Sdanielk1977        error ""
136*ebaecc14Sdanielk1977      }
137*ebaecc14Sdanielk1977    }
138*ebaecc14Sdanielk1977  }
139*ebaecc14Sdanielk1977
140*ebaecc14Sdanielk1977  set mapping_table "${zTab}_parent"
141*ebaecc14Sdanielk1977  set mapping_sql "SELECT parentnode FROM $mapping_table WHERE rowid = \$rowid"
142*ebaecc14Sdanielk1977  if {$iDepth==0} {
143*ebaecc14Sdanielk1977    set mapping_table "${zTab}_rowid"
144*ebaecc14Sdanielk1977    set mapping_sql "SELECT nodeno FROM $mapping_table WHERE rowid = \$rowid"
145*ebaecc14Sdanielk1977  }
146*ebaecc14Sdanielk1977  foreach cell $node {
147*ebaecc14Sdanielk1977    set rowid [lindex $cell 0]
148*ebaecc14Sdanielk1977    set mapping [db one $mapping_sql]
149*ebaecc14Sdanielk1977    if {$mapping != $iNode} {
150*ebaecc14Sdanielk1977      puts "Node $iNode: $mapping_table entry for cell $rowid is $mapping"
151*ebaecc14Sdanielk1977      error ""
152*ebaecc14Sdanielk1977    }
153*ebaecc14Sdanielk1977  }
154*ebaecc14Sdanielk1977
155*ebaecc14Sdanielk1977  set ret [list $iNode]
156*ebaecc14Sdanielk1977  for {set ii 1} {$ii <= $nDim*2} {incr ii} {
157*ebaecc14Sdanielk1977    set f [lindex $node 0 $ii]
158*ebaecc14Sdanielk1977    foreach cell $node {
159*ebaecc14Sdanielk1977      set f2 [lindex $cell $ii]
160*ebaecc14Sdanielk1977      if {($ii%2)==1 && $f2<$f} {set f $f2}
161*ebaecc14Sdanielk1977      if {($ii%2)==0 && $f2>$f} {set f $f2}
162*ebaecc14Sdanielk1977    }
163*ebaecc14Sdanielk1977    lappend ret $f
164*ebaecc14Sdanielk1977  }
165*ebaecc14Sdanielk1977  return $ret
166*ebaecc14Sdanielk1977}
167*ebaecc14Sdanielk1977
168*ebaecc14Sdanielk1977proc rtree_dump {db zTab} {
169*ebaecc14Sdanielk1977  set zRet ""
170*ebaecc14Sdanielk1977  set nDim [expr {(([llength [$db eval "pragma table_info($zTab)"]]/6)-1)/2}]
171*ebaecc14Sdanielk1977  set sql "SELECT nodeno, rtreenode($nDim, data) AS node FROM ${zTab}_node"
172*ebaecc14Sdanielk1977  $db eval $sql {
173*ebaecc14Sdanielk1977    append zRet [format "% -10s %s\n" $nodeno $node]
174*ebaecc14Sdanielk1977  }
175*ebaecc14Sdanielk1977  set zRet
176*ebaecc14Sdanielk1977}
177*ebaecc14Sdanielk1977
178*ebaecc14Sdanielk1977proc rtree_nodetreedump {db zTab zIndent iDepth iNode} {
179*ebaecc14Sdanielk1977  set ret ""
180*ebaecc14Sdanielk1977  set node [rtree_node $db $zTab $iNode 1]
181*ebaecc14Sdanielk1977  append ret [format "%-3d %s%s\n" $iNode $zIndent $node]
182*ebaecc14Sdanielk1977  if {$iDepth>0} {
183*ebaecc14Sdanielk1977    foreach cell $node {
184*ebaecc14Sdanielk1977      set i [lindex $cell 0]
185*ebaecc14Sdanielk1977      append ret [rtree_nodetreedump $db $zTab "$zIndent  " [expr $iDepth-1] $i]
186*ebaecc14Sdanielk1977    }
187*ebaecc14Sdanielk1977  }
188*ebaecc14Sdanielk1977  set ret
189*ebaecc14Sdanielk1977}
190*ebaecc14Sdanielk1977
191*ebaecc14Sdanielk1977proc rtree_treedump {db zTab} {
192*ebaecc14Sdanielk1977  set d [rtree_depth $db $zTab]
193*ebaecc14Sdanielk1977  rtree_nodetreedump $db $zTab "" $d 1
194*ebaecc14Sdanielk1977}
195*ebaecc14Sdanielk1977
196