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rbtree_map.rb
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rbtree_map.rb
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class RBTreeMap
class RBTree
attr_reader :key, :value
attr_accessor :color, :left, :right
def initialize(key, value)
@key, @value = key, value
@left = @right = EMPTY
# new node is added as RED
@color = :RED
end
def set_root
@color = :BLACK
end
def red?
@color == :RED
end
def black?
@color == :BLACK
end
# returns new_root
def insert(key, value)
ret = self
case key <=> @key
when -1
@left = @left.insert(key, value)
ret = rebalance_for_left_insert
when 0
@value = value
when 1
@right = @right.insert(key, value)
ret = rebalance_for_right_insert
end
ret.pullup_red
end
# returns value
def retrieve(key)
ptr = self
while ptr != EMPTY
case key <=> ptr.key
when -1
ptr = ptr.left
when 0
return ptr.value
when 1
ptr = ptr.right
end
end
nil
end
def height
[@left.height, @right.height].max + (black? ? 1 : 0)
end
class EmptyTree < RBTree
def initialize
@value = nil
@color = :BLACK
end
# returns new_root
def insert(key, value)
RBTree.new(key, value)
end
# returns value
def retrieve(key)
nil
end
def height
0
end
end
private_constant :EmptyTree
EMPTY = EmptyTree.new.freeze
protected
def need_rebalance?
red? and (@right.red? or @left.red?)
end
def color_flip(other)
@color, other.color = other.color, @color
end
# Right single rotation
# (b a (D c E)) where D and E are RED --> (d (B a c) E)
#
# b d
# / \ / \
# a D -> B E
# / \ / \
# c E a c
#
def rotate_left
root = @right
@right = root.left
root.left = self
root.color_flip(root.left)
root
end
# Left single rotation
# (d (B A c) e) where A and B are RED --> (b A (D c e))
#
# d b
# / \ / \
# B e -> A D
# / \ / \
# A c c e
#
def rotate_right
root = @left
@left = root.right
root.right = self
root.color_flip(root.right)
root
end
# Pull up red nodes
# (b (A C)) where A and C are RED --> (B (a c))
#
# b B
# / \ -> / \
# A C a c
#
def pullup_red
if black? and @left.red? and @right.red?
@left.color = @right.color = :BLACK
self.color = :RED
end
self
end
private
# trying to rebalance when the left sub-tree is 1 level higher than the right
def rebalance_for_left_insert
if black? and @left.need_rebalance?
# move 1 black from the left to the right by single/double rotation
if @left.right.red?
@left = @left.rotate_left
end
rotate_right
else
self
end
end
# trying to rebalance when the right sub-tree is 1 level higher than the left
def rebalance_for_right_insert
if black? and @right.need_rebalance?
if @right.left.red?
@right = @right.rotate_right
end
rotate_left
else
self
end
end
end
class << self
alias newInstance new
end
def initialize
@root = RBTree::EMPTY
end
def get(key)
@root.retrieve(key)
end
def put(key, value)
@root = @root.insert(key, value)
@root.set_root
value
end
def height
@root.height
end
end
if $DEBUG
class RBTreeMap
class RBTree
def dump_tree(io, indent = '')
@right.dump_tree(io, indent + ' ')
io << indent << sprintf("#<%s:0x%010x %s %s> => %s", self.class.name, __id__, @color, @key.inspect, @value.inspect) << $/
@left.dump_tree(io, indent + ' ')
end
def dump_sexp
left = @left.dump_sexp
right = @right.dump_sexp
if left or right
'(' + [@key, left || '-', right].compact.join(' ') + ')'
else
@key
end
end
class EmptyTree < RBTree
def dump_tree(io, indent = '')
# intentionally blank
end
def dump_sexp
# intentionally blank
end
end
end
def dump_tree(io = '')
@root.dump_tree(io)
io << $/
io
end
def dump_sexp
@root.dump_sexp || ''
end
end
end