python/wavl.py

from ranked_tree import RotateFunction
from avl import AVLTree
from node import Node, NodeType, Comparable

import logging
from typing import TypeVar, Optional

logger = logging.getLogger(__name__)
T = TypeVar("T", bound=Comparable)


class WAVLTree(AVLTree[T]):
    def is_correct_node(
        self, node: Optional[Node[T]], recursive: bool = True
    ) -> bool:
        if not node:
            return True

        for child_rank in Node.differences(node):
            if child_rank not in (1, 2):
                return False

        if node.type == NodeType.LEAF:
            return node.rank == 0

        return not recursive or (
            self.is_correct_node(node.left)
            and self.is_correct_node(node.right)
        )

    # region DeleteRebalance

    def __fix_delete(
        self,
        x: Optional[Node[T]],
        y: Node[T],
        z: Node[T],
        reversed: bool,
        rotate_left: RotateFunction[T],
        rotate_right: RotateFunction[T],
    ) -> None:
        v = y.left
        w = y.right

        if reversed:
            v, w = w, v

        w_diff = Node.difference(w, y)

        if w_diff == 1 and y.parent:
            rotate_left(y.parent)

            y.promote()
            z.demote()

            if z.type == NodeType.LEAF:
                z.demote()
        elif w_diff == 2 and v.parent:
            rotate_right(v.parent)
            rotate_left(v.parent)

            v.promote().promote()
            y.demote()
            z.demote().demote()

    def __bottomup_delete(
        self, x: Optional[Node[T]], parent: Optional[Node[T]]
    ) -> None:
        x_diff = Node.difference(x, parent)
        if x_diff != 3 or not parent:
            return

        y = parent.right if parent.left is x else parent.left
        y_diff = Node.difference(y, parent)

        while (
            parent
            and x_diff == 3
            and y
            and (y_diff == 2 or Node.differences(y) == (2, 2))
        ):
            if y_diff != 2:
                y.demote()
            parent.demote()

            x = parent
            parent = x.parent
            if not parent:
                return
            y = parent.right if parent.left is x else parent.left

            x_diff = Node.difference(x, parent)
            y_diff = Node.difference(y, parent)

        parent_node_diffs = Node.differences(parent)
        if parent_node_diffs in ((1, 3), (3, 1)):
            if parent.left is x:
                assert parent.right
                self.__fix_delete(
                    x,
                    parent.right,
                    parent,
                    False,
                    self.rotate_left,
                    self.rotate_right,
                )
            else:
                assert parent.left
                self.__fix_delete(
                    x,
                    parent.left,
                    parent,
                    True,
                    self.rotate_right,
                    self.rotate_left,
                )

    def _delete_rebalance(
        self, y: Optional[Node[T]], parent: Optional[Node[T]]
    ) -> None:
        if Node.differences(y) == (2, 2):
            y.demote()
            parent = y.parent
        elif Node.differences(parent) == (2, 2):
            parent.demote()
            parent = parent.parent

        if not parent:
            return

        for y in (parent.left, parent.right):
            if Node.difference(y, parent) == 3:
                self.__bottomup_delete(y, parent)
                return

    # endregion DeleteRebalance