"""This module provides functions for calculating hierarchical precicion, recall and f1."""

from typing import List, Set, Dict, Tuple


def find_ancestors(node: str, hierarchy: dict) -> set:
    """
    Find the ancestors of a given node in a hierarchy.

    Args:
        node (str): The node for which to find ancestors.
        hierarchy (dict): A dictionary representing the hierarchy, where the keys are nodes and the values are their parents.

    Returns:
        set: A set of ancestors of the given node.
    """
    ancestors = set()
    nodes_to_visit = [node]
    while nodes_to_visit:
        current_node = nodes_to_visit.pop()
        if current_node in hierarchy:
            parents = hierarchy[current_node]
            ancestors.update(parents)
            nodes_to_visit.extend(parents)
    return ancestors


def extend_with_ancestors(classes: set, hierarchy: dict) -> set:
    """
    Extend the given set of classes with their ancestors from the hierarchy.

    Args:
        classes (set): The set of classes to extend.
        hierarchy (dict): The hierarchy of classes.

    Returns:
        set: The extended set of classes including their ancestors.
    """
    extended_classes = set(classes)
    for cls in classes:
        ancestors = find_ancestors(cls, hierarchy)
        extended_classes.update(ancestors)
    return extended_classes


def calculate_hierarchical_precision_recall(
    reference_codes: List[str],
    predicted_codes: List[str],
    hierarchy: Dict[str, Set[str]],
) -> Tuple[float, float]:
    """
    Calculates the hierarchical precision and recall given the reference codes, predicted codes, and hierarchy definition.

    Args:
        real_codes (List[str]): The list of reference codes.
        predicted_codes (List[str]): The list of predicted codes.
        hierarchy (Dict[str, Set[str]]): The hierarchy definition where keys are nodes and values are sets of parent nodes.

    Returns:
        Tuple[float, float]: A tuple containing the hierarchical precision and recall floating point values.
    """
    # Extend the sets of real and predicted codes with their ancestors
    extended_real = set()
    for code in reference_codes:
        extended_real.add(code)
        extended_real.update(hierarchy.get(code, set()))

    extended_predicted = set()
    for code in predicted_codes:
        extended_predicted.add(code)
        extended_predicted.update(hierarchy.get(code, set()))

    # Calculate the intersection
    correct_predictions = extended_real.intersection(extended_predicted)

    # Calculate hierarchical precision and recall
    hP = len(correct_predictions) / len(extended_predicted) if extended_predicted else 0
    hR = len(correct_predictions) / len(extended_real) if extended_real else 0

    return hP, hR


def hierarchical_f_measure(hP, hR, beta=1.0):
    """Calculate the hierarchical F-measure."""
    if hP + hR == 0:
        return 0
    return (beta**2 + 1) * hP * hR / (beta**2 * hP + hR)