From 1a1022845ab26b853247bea81880a08ef578be24 Mon Sep 17 00:00:00 2001 From: Vinicius Silva Date: Mon, 20 May 2024 12:30:20 -0300 Subject: [PATCH] Add more algorithms --- estrutura_de_dados/arvores/binary.py | 102 ++++++++++- estrutura_de_dados/grafos/dijkstra.pdf | Bin 0 -> 862815 bytes estrutura_de_dados/grafos/graphs.py | 233 +++++++++++++++++++++++++ estrutura_de_dados/grafos/teste.txt | 4 + 4 files changed, 336 insertions(+), 3 deletions(-) create mode 100644 estrutura_de_dados/grafos/dijkstra.pdf create mode 100644 estrutura_de_dados/grafos/graphs.py create mode 100644 estrutura_de_dados/grafos/teste.txt diff --git a/estrutura_de_dados/arvores/binary.py b/estrutura_de_dados/arvores/binary.py index 21f8ff3..8a5c196 100644 --- a/estrutura_de_dados/arvores/binary.py +++ b/estrutura_de_dados/arvores/binary.py @@ -1,4 +1,6 @@ +import treelib + class Node(): def __init__(self, val): @@ -11,7 +13,101 @@ class BinaryTree(): def __init__(self, root): self.root = root - def insert(self, val): + def insert_callable(self, val): + self.root = self.__insert(val, self.root) - node = self.root - \ No newline at end of file + def __insert(self, val, node): + if not node: + node = Node(val) + return node + elif val < node.val: + node.left = self.__insert(val, node.left) + return node + elif val > node.val: + node.right = self.__insert(val, node.right) + return node + else: + raise Exception('This element already exist!') + + def search_callable(self, val): + return self.__search(val, self.root) + + def set_less(self, node_left, node_right): + + if not node_right: + return node_left + else: + node_right.left = self.set_less(node_left, node_right.left) + return node_right + + def __search(self, val, node): + + if not node: + return False + elif node.val == val: + return True + elif val < node.val: + return self.__search(val, node.left) + else: + return self.__search(val, node.right) + + def remove_callable(self, val): + self.root = self.__remove(val, self.root) + + def __remove(self, val, node): + + if not node: + raise Exception('Value not found!') + elif node.val == val: + return self.set_less(node.left, node.right) + elif val < node.val: + node.left = self.__remove(val, node.left) + return node + else: + node.right = self.__remove(val, node.right) + return node + + def show_callable(self): + tree = treelib.Tree() + tree = self.__show(tree, self.root) + tree.show() + + def __show(self, tree, node): + + if not node: + return tree + else: + if node.left: + tree = self.__show(tree, node.left) + tree.create_node(node.left.val, node.left.val, parent=node.val) + + if node.right: + tree = self.__show(tree, node.right) + tree.create_node(node.right.val, node.right.val, parent=node.val) + + return tree + +if __name__ == '__main__': + + tree = BinaryTree(Node(10)) + tree.insert_callable(1) + tree.insert_callable(4) + tree.insert_callable(0) + tree.insert_callable(14) + tree.insert_callable(22) + + tree.remove_callable(14) + + print(tree.search_callable(1)) + print(tree.search_callable(13)) + print(tree.search_callable(4)) + print(tree.search_callable(0)) + print(tree.search_callable(14)) + #print(tree.search_callable(22)) + #print(tree.search_callable(12)) + #print(tree.search_callable(15)) + #print(tree.search_callable(16)) + #print(tree.search_callable(-1)) +# + + #tree.show_callable() diff --git a/estrutura_de_dados/grafos/dijkstra.pdf b/estrutura_de_dados/grafos/dijkstra.pdf new file mode 100644 index 0000000000000000000000000000000000000000..3e94cb4eec9f3d6ccba1c61d7ac1dac93a287b90 GIT binary patch literal 862815 zcmeFa2Ut@{`#vm!AXPvqQbUuXKoVMz-a&fr2uSF?3Wy@02!cqF-lU4srAP;nCQ4VD z6e$WKA|N15zLNxYZTsrG=HI^S$F;lJBv>^hmZZM!y%CU-d zL9r0%&&xH0AV6w>K-{u6?x3%M@bIC|00|4@aVx>JJY%-X6FN;5>UX zcephCf|CUt54a5ASK($3co#<&brqeCLx}5_isCQ0-dp~>cp>soUVv1Rvt)8?nFw!q zBIEK#!t#fqB%Bi*y}{Ditqa{e(@ymzgC>N!>93`7Hw?1K^XizS0|{kW7Mi3pd$5KI zCrgFIoP8>E?glTnQ6C#UJrvA!%ljJEwCcIQej?W=< znVBW{S&xbN8%IGI7L+m}a^WYsa;!Nip^}UGgGb!ozQ02gCN@m?%9D6Xb~(B4Q=4FQ 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Vertex): + + self.first_vertex = first_vertex + self.second_vertex = second_vertex + +class Edge(): + + def __init__(self, first_vertex: Vertex, second_vertex: Vertex): + self.vertex_pair = VertexPair(first_vertex, second_vertex) + +class Graph(): + + def __init__(self, vertex_size: int, is_digraph=False, adjacency_flag=1): + + self.graph = self.__init_graph(vertex_size) + self.is_digraph = is_digraph + self.vertex_size = vertex_size + self.adjacency_flag = adjacency_flag + + def __vertex_in_graph(self, vertexID: int): + return vertexID in range(0, self.vertex_size) + + def set_adjacency(self, edge: Edge, adjacency_flag=-1): + + if adjacency_flag == -1: + adjacency_flag = self.adjacency_flag + + first_vertexID = int(edge.vertex_pair.first_vertex.ID) + second_vertexID = int(edge.vertex_pair.second_vertex.ID) + + if self.__vertex_in_graph(first_vertexID) and self.__vertex_in_graph(second_vertexID): + + self.graph[first_vertexID][second_vertexID] = adjacency_flag + + if not self.is_digraph: + self.graph[second_vertexID][first_vertexID] = adjacency_flag + else: + raise Exception('Vertex out of bounds') + + def __init_graph(self, vertex_size: int, inital_val=0): + + return [[inital_val]*vertex_size for _ in range(vertex_size)] + + def __mark_as_visited(self,visited, element, graph): + for i in range(0, len(graph)): + if graph[i][element] == self.adjacency_flag: + graph[i][element] = visited + return graph + + def clear(self, inital_val=0): + self.graph = self.__init_graph(self.vertex_size, inital_val) + + def bfs(self, source_vertex: Vertex): + + + assert self.is_digraph and self.__vertex_in_graph(int(source_vertex.ID)) + + visited = self.adjacency_flag+1 + graph = self.graph.copy() + queque = [source_vertex.ID] + + while len(queque) > 0: + + element = queque[0] + queque = queque[1:] + + print(f"Current vertex {element}") + graph = self.__mark_as_visited(visited, element, graph) + + for i in range(0, len(graph[element])): + if graph[element][i] == self.adjacency_flag: + print(f" ({element}) -> ({i})") + graph = self.__mark_as_visited(visited, i, graph) + queque.append(i) + elif graph[element][i] == visited: + print(f" ({element}) -> ({i}) - Already visited") + + def get_parents(self, source_vertex, graph): + assert self.__vertex_in_graph(source_vertex) + parents = [] + + for i in range(0, len(graph[source_vertex])): + if self.graph[source_vertex][i] != 0: + parents.append(i) + return parents + + def dfs(self, source_vertex): + + graph = self.graph + visited = self.adjacency_flag+1 + + parents_from_source = self.get_parents(source_vertex, graph) + + if len(parents_from_source) != 0: + + graph = self.__mark_as_visited(visited, source_vertex, graph) + + for i in range(0, len(parents_from_source)): + + if graph[source_vertex][i] != visited: + print(f" ({source_vertex}) -> ({parents_from_source[i]})") + self.dfs(parents_from_source[i]) + graph = self.__mark_as_visited(visited, i, graph) + else: + print(f" ({source_vertex}) -> ({parents_from_source[i]})") + + + def dijkstra(self, source_vertex): + assert self.is_digraph and self.__vertex_in_graph(int(source_vertex.ID)) + + visited = math.inf + graph = self.graph.copy() + queque = [source_vertex.ID] + visited = [] + weight = [math.inf]*self.vertex_size + + weight[source_vertex.ID] = 0 + + while len(queque) > 0: + + element = queque[0] + queque = queque[1:] + + print(f"Current vertex {element}") + + visited.append(element) + + for i in range(0, self.vertex_size): + + if graph[element][i] != -1 and i not in visited: + + if weight[i] > (weight[element]+graph[element][i]): + + print(f" ({element}) -> ({i}) <-> Weight {(weight[element]+graph[element][i])}") + weight[i] = (weight[element]+graph[element][i]) + + visited.append(i) + queque.append(i) + + elif graph[element][i] != -1 and i in visited: + + print(f" ({element}) -> ({i}) - Already visited", end=" <-> ") + + if weight[i] > (weight[element]+graph[element][i]): + print(f"New Weight {(weight[element]+graph[element][i])}") + weight[i] = (weight[element]+graph[element][i]) + + return weight + + def show_matrix(self): + for i in range(0, self.vertex_size): + for j in range(0, self.vertex_size): + print(f'{self.graph[i][j]}', end='') + print('') +if __name__ == '__main__': + + vertex_size = 6 + + graph = Graph(vertex_size, True) + + print('================================= BFS ====================================') + graph.set_adjacency(Edge(Vertex(0),Vertex(2))) + graph.set_adjacency(Edge(Vertex(0),Vertex(4))) + graph.set_adjacency(Edge(Vertex(0),Vertex(3))) + + graph.set_adjacency(Edge(Vertex(1),Vertex(2))) + graph.set_adjacency(Edge(Vertex(1),Vertex(4))) + + graph.set_adjacency(Edge(Vertex(2),Vertex(4))) + + graph.set_adjacency(Edge(Vertex(3),Vertex(4))) + graph.set_adjacency(Edge(Vertex(3),Vertex(5))) + + graph.set_adjacency(Edge(Vertex(4),Vertex(5))) + + graph.set_adjacency(Edge(Vertex(5),Vertex(1))) + graph.bfs(Vertex(0)) + + print('==========================================================================') + print('================================= DFS ====================================') + graph.clear() + + graph.set_adjacency(Edge(Vertex(0),Vertex(2))) + graph.set_adjacency(Edge(Vertex(0),Vertex(4))) + graph.set_adjacency(Edge(Vertex(0),Vertex(3))) + + graph.set_adjacency(Edge(Vertex(2),Vertex(1))) + graph.set_adjacency(Edge(Vertex(2),Vertex(4))) + + graph.set_adjacency(Edge(Vertex(3),Vertex(4))) + graph.set_adjacency(Edge(Vertex(3),Vertex(5))) + + + graph.set_adjacency(Edge(Vertex(4),Vertex(1))) + graph.set_adjacency(Edge(Vertex(4),Vertex(5))) + + graph.set_adjacency(Edge(Vertex(5),Vertex(1))) + + graph.dfs(Vertex(0).ID) + + print('==========================================================================') + print('============================== DIJKSTRA ==================================') + + graph.clear(inital_val=-1) + + graph.set_adjacency(Edge(Vertex(0),Vertex(2)), 7) + graph.set_adjacency(Edge(Vertex(0),Vertex(4)), 4) + graph.set_adjacency(Edge(Vertex(0),Vertex(3)), 2) + + graph.set_adjacency(Edge(Vertex(1),Vertex(2)), 0) + + graph.set_adjacency(Edge(Vertex(2),Vertex(4)), 1) + + graph.set_adjacency(Edge(Vertex(3),Vertex(4)), 1) + graph.set_adjacency(Edge(Vertex(3),Vertex(5)), 3) + + graph.set_adjacency(Edge(Vertex(4),Vertex(1)), 4) + graph.set_adjacency(Edge(Vertex(4),Vertex(5)), 1) + + graph.set_adjacency(Edge(Vertex(5),Vertex(1)), 2) + + print(graph.dijkstra(Vertex(0))) + + print('==========================================================================') diff --git a/estrutura_de_dados/grafos/teste.txt b/estrutura_de_dados/grafos/teste.txt new file mode 100644 index 0000000..db17ef8 --- /dev/null +++ b/estrutura_de_dados/grafos/teste.txt @@ -0,0 +1,4 @@ +DIJKSTRA RESULT + +Vértices 0 1 2 3 4 5 6 +Distancia 0 6 6 2 3 4 \ No newline at end of file