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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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package require TclOO
namespace eval AVL {
# Class for the overall tree; manages real public API
oo::class create Tree {
variable root nil class
constructor {{nodeClass AVL::Node}} {
set class [oo::class create Node [list superclass $nodeClass]]
# Create a nil instance to act as a leaf sentinel
set nil [my NewNode ""]
set root [$nil ref]
# Make nil be special
oo::objdefine $nil {
method height {} {return 0}
method key {} {error "no key possible"}
method value {} {error "no value possible"}
method destroy {} {
# Do nothing (doesn't prohibit destruction entirely)
}
method print {indent increment} {
# Do nothing
}
}
}
# How to actually manufacture a new node
method NewNode {key} {
if {![info exists nil]} {set nil ""}
$class new $key $nil [list [namespace current]::my NewNode]
}
# Create a new node in the tree and return it
method insert {key} {
set node [my NewNode $key]
if {$root eq $nil} {
set root $node
} else {
$root insert $node
}
return $node
}
# Find the node for a particular key
method lookup {key} {
for {set node $root} {$node ne $nil} {} {
if {[$node key] == $key} {
return $node
} elseif {[$node key] > $key} {
set node [$node left]
} else {
set node [$node right]
}
}
error "no such node"
}
# Print a tree out, one node per line
method print {{indent 0} {increment 1}} {
$root print $indent $increment
return
}
}
# Class of an individual node; may be subclassed
oo::class create Node {
variable key value left right 0 refcount newNode
constructor {n nil instanceFactory} {
set newNode $instanceFactory
set 0 [expr {$nil eq "" ? [self] : $nil}]
set key $n
set value {}
set left [set right $0]
set refcount 0
}
method ref {} {
incr refcount
return [self]
}
method destroy {} {
if {[incr refcount -1] < 1} next
}
method New {key value} {
set n [{*}$newNode $key]
$n setValue $value
return $n
}
# Getters
method key {} {return $key}
method value {} {return $value}
method left {} {return $left}
method right {args} {return $right}
# Setters
method setValue {newValue} {
set value $newValue
}
method setLeft {node} {
# Non-trivial because of reference management
$node ref
$left destroy
set left $node
return
}
method setRight {node} {
# Non-trivial because of reference management
$node ref
$right destroy
set right $node
return
}
# Print a node and its descendents
method print {indent increment} {
puts [format "%s%s => %s" [string repeat " " $indent] $key $value]
incr indent $increment
$left print $indent $increment
$right print $indent $increment
}
method height {} {
return [expr {max([$left height], [$right height]) + 1}]
}
method balanceFactor {} {
expr {[$left height] - [$right height]}
}
method insert {node} {
# Simple insertion
if {$key > [$node key]} {
if {$left eq $0} {
my setLeft $node
} else {
$left insert $node
}
} else {
if {$right eq $0} {
my setRight $node
} else {
$right insert $node
}
}
# Rebalance this node
if {[my balanceFactor] > 1} {
if {[$left balanceFactor] < 0} {
$left rotateLeft
}
my rotateRight
} elseif {[my balanceFactor] < -1} {
if {[$right balanceFactor] > 0} {
$right rotateRight
}
my rotateLeft
}
}
# AVL Rotations
method rotateLeft {} {
set new [my New $key $value]
set key [$right key]
set value [$right value]
$new setLeft $left
$new setRight [$right left]
my setLeft $new
my setRight [$right right]
}
method rotateRight {} {
set new [my New $key $value]
set key [$left key]
set value [$left value]
$new setLeft [$left right]
$new setRight $right
my setLeft [$left left]
my setRight $new
}
}
}

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# Create an AVL tree
AVL::Tree create tree
# Populate it with some semi-random data
for {set i 33} {$i < 127} {incr i} {
[tree insert $i] setValue \
[string repeat [format %c $i] [expr {1+int(rand()*5)}]]
}
# Print it out
tree print
# Look up a few values in the tree
for {set i 0} {$i < 10} {incr i} {
set k [expr {33+int((127-33)*rand())}]
puts $k=>[[tree lookup $k] value]
}
# Destroy the tree and all its nodes
tree destroy