2026-03-30 13:09:16 +02:00

174 lines
5.3 KiB
Python

from vorlesung.L05_binaere_baeume.bin_tree_node import BinaryTreeNode
from utils.algo_context import AlgoContext
from utils.project_dir import get_path
from datetime import datetime
import graphviz
class BinaryTree:
def __init__(self, ctx: AlgoContext):
self.root = None
self.size = 0
self.ctx = ctx
def new_node(self, value):
return BinaryTreeNode(value, self.ctx)
def insert(self, value):
self.size += 1
value = self.new_node(value)
if self.root is None:
self.root = value
return self.root, None
else:
current = self.root
while True:
if value < current:
if current.left:
current = current.left
else:
current.left = value
return current.left, current
elif value >= current:
if current.right:
current = current.right
else:
current.right = value
return current.right, current
else:
return None, None
def search(self, value):
current = self.root
value = self.new_node(value)
while current:
if value < current:
current = current.left
elif value > current:
current = current.right
else:
return current
return None
def delete(self, value):
parent = None
current = self.root
value = self.new_node(value)
while current:
if value < current:
parent = current
current = current.left
elif value > current:
parent = current
current = current.right
else:
break
else:
return None, None
return self.delete_node(current, parent)
def delete_node(self, current, parent):
self.size -= 1
# Fall 3: zwei Kinder → Nachfolger suchen
if current.left and current.right:
parent = current
successor = current.right
while successor.left:
parent = successor
successor = successor.left
current.set(successor) # Wert kopieren (1 read + 1 write)
current = successor
child = current.left if current.left else current.right
if not parent:
self.root = child
return child, None
elif parent.left is current:
parent.left = child
return child, parent
else:
parent.right = child
return child, parent
def in_order_traversal(self, callback):
def _rec(callback, current):
if current is not None:
_rec(callback, current.left)
callback(current)
_rec(callback, current.right)
_rec(callback, self.root)
def level_order_traversal(self, callback):
if self.root is None:
return
queue = [(self.root, 0)]
while queue:
current, level = queue.pop(0)
callback(current, level)
if current.left is not None: queue.append((current.left, level + 1))
if current.right is not None: queue.append((current.right, level + 1))
def tree_structure_traversal(self, callback):
def _rec(callback, current, level):
nonlocal line
if current:
_rec(callback, current.left, level + 1)
callback(current, level, line)
line += 1
_rec(callback, current.right, level + 1)
line = 0
_rec(callback, self.root, 0)
def graph_filename(self):
return "BinaryTree"
def graph_traversal(self):
def define_node(node, level, line):
nonlocal dot
if node is not None:
node.graphviz_rep(level, line, dot)
def _rec(current):
nonlocal dot
if current is not None:
if current.left:
dot.edge(str(id(current)), str(id(current.left)))
_rec(current.left)
if current.right:
dot.edge(str(id(current)), str(id(current.right)))
_rec(current.right)
dot = graphviz.Digraph(
name="BinaryTree",
engine="neato",
node_attr={"shape": "circle", "fontname": "Arial"},
format="pdf")
self.tree_structure_traversal(define_node)
_rec(self.root)
timestamp = datetime.now().strftime("%Y%m%d_%H%M%S")
dot.render(get_path(f"{self.graph_filename()}_{timestamp}.gv"))
if __name__ == "__main__":
ctx = AlgoContext()
tree = BinaryTree(ctx)
for v in [5, 3, 7, 2, 4, 6, 5, 8]:
tree.insert(v)
def print_node(node, indent=0, line=None):
print((indent * 3) * " ", node.value)
print("In-order traversal:")
tree.in_order_traversal(print_node)
print("\nLevel-order traversal:")
tree.level_order_traversal(print_node)
print("\nDeleting 5:")
tree.delete(5)
print("In-order traversal after deletion:")
tree.in_order_traversal(print_node)
print("\n", ctx)