import random

class GraphLayout:
    """
    A placeholder for graph layout algorithms, such as force-directed layout.
    These algorithms compute the positions of vertices for graph visualization.
    """
    def __init__(self, graph):
        """
        Initializes the GraphLayout object.

        Args:
            graph (dict): An adjacency list representation of the graph.
        """
        self.graph = graph
        self.vertices = list(graph.keys())

    def random_layout(self, width=800, height=600):
        """
        Generates a simple random layout.

        Args:
            width (int): The width of the layout area.
            height (int): The height of the layout area.

        Returns:
            dict: A dictionary mapping each vertex to (x, y) coordinates.
        """
        layout = {}
        for vertex in self.vertices:
            layout[vertex] = (random.uniform(0, width), random.uniform(0, height))
        return layout

    def force_directed_layout_placeholder(self, iterations=50):
        """
        A placeholder for a force-directed layout algorithm.
        This is a conceptual implementation.
        """
        # 1. Initialize positions randomly
        positions = self.random_layout()

        # 2. Simulate forces for a number of iterations
        # In a real implementation, you would calculate attractive forces for edges
        # and repulsive forces between all nodes.
        print(f"Simulating force-directed layout for {iterations} iterations (conceptual).")
        # (Actual force calculation logic would go here)

        return positions

    def explain_concept(self):
        """
        Provides a brief explanation of graph layout algorithms.
        """
        return (
            "Graph layout algorithms are used to determine the positions of nodes and edges "
            "for drawing a graph. The goal is to produce a clear and aesthetically pleasing visualization.\n\n"
            "Common types of layout algorithms include:\n"
            "- Force-Directed Layouts: Simulate a physical system where edges are springs and "
            "nodes are repelling magnets. The layout is the equilibrium state of this system.\n"
            "- Hierarchical Layouts: Used for directed acyclic graphs (DAGs) to show hierarchy.\n"
            "- Circular Layouts: Place nodes in a circle, often used to highlight symmetries."
        )
