import sys import time class Graph(object): """ Defines an undirected graph with dictionary structure {} """ def __init__(self): self._edges = dict() self._nodes = list() def _add_node(self, node): """ Adds a node to the list of nodes in a Graph. :type node: String """ if node not in self._nodes: self._nodes.append(node) else: print("Duplicated Node, skipping.") def nodes(self): """ Returns the nodes in a Graph """ return self._nodes def edges(self): """ Returns the edges in a Graph """ return list(self._edges.keys()) def add_edge(self, src_node, dst_node, **properties): """ Adds an edge to the Graph content dictionary. Edge structure (src_node, dst_node): {property: value} :type src_node: String :type dst_node: String :param properties: Edge labels. :type properties: dict """ if src_node not in self._nodes: self._add_node(src_node) if dst_node not in self._nodes: self._add_node(dst_node) if src_node == dst_node: print("Self loops not supported.") return coordinate_right = (src_node, dst_node) coordinate_left = (dst_node, src_node) edges = self.edges() if (coordinate_right not in edges) and (coordinate_left not in edges): self._edges[coordinate_right] = properties else: print("Duplicated edge, skipping.") def get_edge(self, src_node, dst_node): """ Returns an edge value if the edge exist in the Graph. :type src_node: String :type dst_node: String :return: a dict with the properties for the given edge """ coordinate_right = (src_node, dst_node) coordinate_left = (dst_node, src_node) edges = self.edges() if coordinate_right in edges: return self._edges[coordinate_right] if coordinate_left in edges: return self._edges[coordinate_left] else: return {} def show(self): for k, v in self._edges.items(): print("{coordinate}: weight={weight}".format(coordinate=k, weight=v['weight'])) def neighbors(self, node): """ Returns the neighbors of a node. :type node: String :return: A list with the neighbors of a node """ neighbors = list() for k, v in self._edges.items(): if node in k: if node == k[0]: neighbors.append(k[1]) else: neighbors.append(k[0]) return neighbors def is_valid(line): """ Checks if the content of an edge has a valid format. :param line: A line of the input text. :type: String :return: A list if edge is valid, None otherwise. """ edge = line.rsplit() wrong_args_number = len(edge) != 3 is_comment = line.startswith("#") if wrong_args_number or not edge or is_comment: return None try: int(edge[0]) int(edge[1]) int(edge[2]) except ValueError: return None return edge def generate_edges(content): """ Yields an edge to the graph if it's valid. :param content: The raw content of the input file. """ for edge in content: valid_edge = is_valid(edge) if valid_edge: yield valid_edge def load_graph_data(content): """ Loads the content of the input file as a graph and returns a graph structure and its first node. :param content: The raw content of the input file. :return: An undirected Graph and a Node. """ G = Graph() edges = generate_edges(content) for edge in edges: if edge: G.add_edge(edge[0], edge[1], weight=edge[2]) return G def dijkstra(graph): """ Shortest path algorithm. Returns a dictionary with the shortest distance from each node in the graph to the initial node '1'. :param graph: A Graph structure :return: Dictionary with where the distance is the shortest path to the initial node. """ nodes = graph.nodes() initial_node_index = nodes.index('1') initial_node = nodes[initial_node_index] neighbors_initial_node = graph.neighbors(initial_node) distances = dict() for node in nodes: if node in neighbors_initial_node: distances[node] = int(graph.get_edge(initial_node, node)['weight']) else: distances[node] = 2000000000 distances[initial_node] = 0 visited = [initial_node] while sorted(nodes) != sorted(visited): current_node = min_vertex(distances, visited) visited.append(current_node) for neighbor in graph.neighbors(current_node): distance_to_neighbor = int(graph.get_edge(current_node, neighbor)['weight']) temp_dist = distances[current_node] + distance_to_neighbor if temp_dist < distances[neighbor]: distances[neighbor] = temp_dist return distances def min_vertex(distances, visited): """ Returns the vector with the minimum distance which is not yet visited. :param distances: A dictionary with structure :param visited: A list with the visited nodes :return: The non-visited vertex with the minimum distance """ min_distance = 2000000000 min_vertex = None for node, neighbor_distance in distances.items(): if node in visited: continue if neighbor_distance < min_distance: min_distance = neighbor_distance min_vertex = node return min_vertex if __name__ == '__main__': start = time.time() # wall-clock-time start filename = sys.argv[-1] content = open(filename) graph = load_graph_data(content) distances = dijkstra(graph) result_dist = 0 result_vertex = None for k, v in distances.items(): if k == '1': continue if v > result_dist: result_dist = v result_vertex = k elif v == result_dist: key_list = list(distances.keys()) index_result = key_list.index(result_vertex) index_current = key_list.index(k) if index_result < index_current: result_vertex = k print('RESULT VERTEX {result_vertex}'.format(result_vertex=result_vertex)) print('RESULT DIST {result_dist}'.format(result_dist=result_dist)) end = time.time() # wall-clock-time end wall_clock_time = end - start print('WALL-CLOCK TIME: {0:.2f} seconds'.format(wall_clock_time)) user_time = time.process_time() print('USER TIME: {0:.2f} seconds'.format(user_time))