X-Git-Url: http://nitlanguage.org diff --git a/lib/trees/bintree.nit b/lib/trees/bintree.nit index 8165a24..6b6b91c 100644 --- a/lib/trees/bintree.nit +++ b/lib/trees/bintree.nit @@ -45,6 +45,8 @@ class BinTreeMap[K: Comparable, E] redef type N: BinTreeNode[K, E] private var len = 0 + private var first_node: nullable BinTreeNode[K, E] = null + private var last_node: nullable BinTreeNode[K, E] = null # O(n) in worst case, average is O(h) with h: tree height # @@ -53,22 +55,49 @@ class BinTreeMap[K: Comparable, E] # tree[1] = "n1" # assert not tree.is_empty redef fun is_empty do return root == null + + # O(n) in worst case, average is O(h) with h: tree height + # + # var tree = new BinTreeMap[Int, String] + # assert not tree.has_key(1) + # for i in [4, 2, 1, 5, 3] do tree[i] = "n{i}" + # assert not tree.has_key(0) + # assert tree.has_key(2) + # assert not tree.has_key(6) + redef fun has_key(key: K): Bool do + if is_empty then return false + var res = search_down(root.as(not null), key) + if res != null then + cache_node = res + return true + end + return false + end + + private var cache_node: nullable N = null + # Get the node value associated to `key` # O(n) in worst case, average is O(h) with h: tree height # # var tree = new BinTreeMap[Int, String] # for i in [4, 2, 1, 5, 3] do tree[i] = "n{i}" + # assert tree.has_key(1) # assert tree[1] == "n1" + # assert tree.has_key(1) + # assert tree[2] == "n2" redef fun [](key: K): E do - assert not_empty: root != null + assert not_empty: not is_empty + if cache_node != null and cache_node.key == key then return cache_node.value var res = search_down(root.as(not null), key) assert has_key: res != null return res.value end + # Search `key` in `from` and its children nodes. protected fun search_down(from: N, key: K): nullable N do - if key == from.key then return from - if from.left != null and key < from.key then + var cmp = key <=> from.key + if cmp == 0 then return from + if from.left != null and cmp < 0 then return search_down(from.left.as(not null), key) else if from.right != null then return search_down(from.right.as(not null), key) @@ -87,6 +116,7 @@ class BinTreeMap[K: Comparable, E] return min_from(root.as(not null)).value end + # Get the left-most child from `node`. protected fun min_from(node: N): N do if node.left == null then return node return min_from(node.left.as(not null)) @@ -103,6 +133,7 @@ class BinTreeMap[K: Comparable, E] return max_from(root.as(not null)).value end + # Get the right-most child from `node`. protected fun max_from(node: N): N do if node.right == null then return node return max_from(node.right.as(not null)) @@ -120,6 +151,7 @@ class BinTreeMap[K: Comparable, E] insert_node(new BinTreeNode[K, E](key, item)) end + # Add `node` in the tree. protected fun insert_node(node: N) do len += 1 if root == null then @@ -127,18 +159,27 @@ class BinTreeMap[K: Comparable, E] else shift_down(root.as(not null), node) end + if first_node == null then + first_node = node + end + if last_node != null then + last_node.next = node + node.prev = last_node + end + last_node = node end # Push down the `node` in tree from a specified `from` index protected fun shift_down(from, node: N) do - if node.key < from.key then + var cmp = node.key <=> from.key + if cmp < 0 then if from.left == null then from.left = node node.parent = from else shift_down(from.left.as(not null), node) end - else if node.key > from.key then + else if cmp > 0 then if from.right == null then from.right = node node.parent = from @@ -178,6 +219,16 @@ class BinTreeMap[K: Comparable, E] min.left = node.left min.left.parent = min end + if first_node == node then + first_node = null + end + if last_node == node then + last_node = node.prev + last_node.next = null + else + node.prev.next = node.next + node.next.prev = node.prev + end return node.value end @@ -197,11 +248,13 @@ class BinTreeMap[K: Comparable, E] # Perform left rotation on `node` # + # ~~~raw # N Y # / \ > / \ # a Y N c # / \ < / \ # b c a b + # ~~~ # protected fun rotate_left(node: N) do var y = node.right @@ -223,11 +276,13 @@ class BinTreeMap[K: Comparable, E] # Perform right rotation on `node` # + # ~~~raw # N Y # / \ > / \ # a Y N c # / \ < / \ # b c a b + # ~~~ # protected fun rotate_right(node: N) do var y = node.left @@ -260,6 +315,7 @@ class BinTreeMap[K: Comparable, E] return sorted end + # Sort the tree from `node` and place results in `sorted`. protected fun sort_down(node: N, sorted: Array[E]) do if node.left != null then sort_down(node.left.as(not null), sorted) sorted.add(node.value) @@ -272,6 +328,7 @@ class BinTreeMap[K: Comparable, E] return "[{print_tree(root)}]" end + # Print the tree starting from `node`. protected fun print_tree(node: N): String do var s = new FlatBuffer s.append(node.to_s) @@ -282,14 +339,15 @@ class BinTreeMap[K: Comparable, E] redef fun show_dot do assert not_empty: root != null - var f = new OProcess("dot", "-Txlib") + var f = new ProcessWriter("dot", "-Txlib") f.write "digraph \{\n" dot_down(root.as(not null), f) f.write "\}\n" f.close end - protected fun dot_down(node: N, f: OProcess) do + # Translate the tree in dot format starting from `node`. + protected fun dot_down(node: N, f: ProcessWriter) do if node.left != null then dot_down(node.left.as(not null), f) f.write node.to_dot if node.right != null then dot_down(node.right.as(not null), f) @@ -302,46 +360,55 @@ class BinTreeMap[K: Comparable, E] # for i in [4, 2, 1, 5, 3] do tree[i] = "n{i}" # assert tree.length == 5 redef fun length do return len + + # Nodes are iterated in the same order in which they were added to the tree. + # O(n) + # + # var tree = new BinTreeMap[Int, String] + # for i in [4, 2, 1, 5, 3] do tree[i] = "n{i}" + # var keys = new Array[Int] + # for k, v in tree do + # keys.add k + # end + # assert keys == [4, 2, 1, 5, 3] + redef fun iterator do return new BinTreeMapIterator[K, E](self) end # TreeNode used by BinTree class BinTreeNode[K: Comparable, E] super TreeNode[K, E] - redef type SELF: BinTreeNode[K, E] + private var prev: nullable BinTreeNode[K, E] = null + private var next: nullable BinTreeNode[K, E] = null - init(key: K, item: E) do - super(key, item) - end + redef type N: BinTreeNode[K, E] - private var left_node: nullable SELF = null + private var left_node: nullable N = null # `left` tree node child (null if node has no left child) - fun left: nullable SELF do return left_node + fun left: nullable N do return left_node # set `left` child for this node (or null if left no child) # ENSURE: node.key < key (only if node != null) - fun left=(node: nullable SELF) do - assert node != null implies node.key < key + fun left=(node: nullable N) do + #assert node != null implies node.key < key left_node = node end - private var right_node: nullable SELF = null + private var right_node: nullable N = null # `right` tree node child (null if node has no right child) - fun right: nullable SELF do return right_node + fun right: nullable N do return right_node # set `right` child for this node (or null if right no child) # ENSURE: node.key < key (only if node != null) - fun right=(node: nullable SELF) do - if node != null then - assert node.key > key - end + fun right=(node: nullable N) do + #assert node != null implies node.key > key right_node = node end # `parent` of the `parent` of this node (null if root) - fun grandparent: nullable SELF do + fun grandparent: nullable N do if parent == null then return null else @@ -351,7 +418,7 @@ class BinTreeNode[K: Comparable, E] # Other child of the `grandparent` # `left` or `right` depends on the position of the current node against its parent - fun uncle: nullable SELF do + fun uncle: nullable N do var g = grandparent if g == null then return null @@ -366,7 +433,7 @@ class BinTreeNode[K: Comparable, E] # Other child of the parent # `left` or `right` depends on the position of the current node against its parent - fun sibling: nullable SELF do + fun sibling: nullable N do if parent == null then return null else if self == parent.left then @@ -378,6 +445,19 @@ class BinTreeNode[K: Comparable, E] end end - redef fun to_s do return "\{{key}: {value}\}" + redef fun to_s do return "\{{key}: {value or else ""}\}" end +private class BinTreeMapIterator[K: Comparable, E] + super MapIterator[K, E] + + var tree: BinTreeMap[K, E] + var current: nullable BinTreeNode[K, E] = null + + init do current = tree.first_node + + redef fun is_ok do return not current == null + redef fun next do current = current.next + redef fun item do return current.value + redef fun key do do return current.key +end