Adicionando Floyd-Warshall

Author: alelimasilva

src/python/floyd-warshall.py

@@ -0,0 +1,46 @@
+from math import inf
+
+def gerar_matriz (n_linhas, n_colunas):
+    return [[0]*n_colunas for _ in range(n_linhas)]
+
+def imprime(matriz, vertices):
+    print(' ', end='')
+    for i in range(vertices):
+        print("  ",i + 1,end='')
+    print('')
+    for i in range(vertices):
+        print(i + 1, matriz[i])
+
+def floyd_warshall(matriz, vertices):
+    dist = gerar_matriz(vertices, vertices)
+    # inicializando a matriz com infinito nas diagonais e as distancias das arestas
+    for i in range(vertices):
+        for j in range(vertices):
+            if(i != j):
+                if(matriz[i][j] != 0):
+                    dist[i][j] = matriz[i][j]
+                else:
+                    dist[i][j] = inf
+            else:
+                dist[i][i] = inf
+    # Floyd-Warshal
+    for k in range(vertices):
+        for i in range(vertices):
+            for j in range(vertices):
+                Dist = inf
+                if(dist[i][k] != inf or dist[k][j] != inf):
+                    Dist = dist[i][k] + dist[k][j]
+ 
+                if(i != j and Dist != inf and Dist < dist[i][j]):
+                    dist[i][j] = Dist
+    # printando o resultado
+    print('Matriz de distâncias')
+    imprime(dist, vertices)
+
+def main():
+    grafo = [[0,3,4,0],[0,0,0,5],[0,0,0,3],[8,0,0,0]]
+    vertices = 4
+    floyd_warshall(grafo, vertices)
+
+if __name__ == "__main__" :
+    main()