|
| 1 | + |
| 2 | +# PRONOUNCED AS 'DAAIKSTRA' |
| 3 | + |
| 4 | +class Vertex(object): |
| 5 | + def __init__(self, key): |
| 6 | + self.id = key |
| 7 | + self.connectedTo = {} |
| 8 | + |
| 9 | + def addNeighbor(self, nbr, w): |
| 10 | + self.connectedTo[nbr] = w |
| 11 | + |
| 12 | + def getConnections(self): |
| 13 | + return self.connectedTo.keys() |
| 14 | + |
| 15 | + def getId(self): |
| 16 | + return self.id |
| 17 | + |
| 18 | + def getWeight(self, nbr): |
| 19 | + return self.connectedTo[nbr] |
| 20 | + |
| 21 | + def __str__(self): |
| 22 | + return str(self.id) + " connected to " + str([x.id for x in self.connectedTo]) |
| 23 | + |
| 24 | +class Graph(object): |
| 25 | + def __init__(self): |
| 26 | + self.vertices = {} |
| 27 | + self.numVertices = 0 |
| 28 | + |
| 29 | + def addVertex(self, key): |
| 30 | + self.numVertices += 1 |
| 31 | + temp = Vertex(key) |
| 32 | + self.vertices[key] = temp |
| 33 | + |
| 34 | + def getVertex(self, key): |
| 35 | + if key in self.vertices: |
| 36 | + return self.vertices[key] |
| 37 | + return None |
| 38 | + |
| 39 | + def addEdge(self, fro, to, cost=0): |
| 40 | + if fro not in self.vertices: |
| 41 | + self.addVertex(fro) |
| 42 | + if to not in self.vertices: |
| 43 | + self.addVertex(to) |
| 44 | + self.vertices[fro].addNeighbor(self.vertices[to], cost) |
| 45 | + |
| 46 | + def getVertices(self): |
| 47 | + return self.vertices.keys() |
| 48 | + |
| 49 | + def __iter__(self): |
| 50 | + return iter(self.vertices.values()) |
| 51 | + |
| 52 | + def __contains__(self, n): |
| 53 | + return n in self.vertices |
| 54 | + |
| 55 | + def disjkstra(self, src, dest): |
| 56 | + if dest.id not in self.vertices or src.id not in self.vertices: |
| 57 | + return None |
| 58 | + dist = {} |
| 59 | + for vert in self.vertices.values(): |
| 60 | + dist[vert] = float('inf') |
| 61 | + |
| 62 | + dist[src] = 0 |
| 63 | + visited = [] |
| 64 | + prevVertex = { vertex: None for vertex in self.vertices.values() } |
| 65 | + while dest not in visited: |
| 66 | + min = float('inf') |
| 67 | + x = None |
| 68 | + for y in dist: |
| 69 | + if dist[y] < min and y not in visited: |
| 70 | + min = dist[y] |
| 71 | + x = y |
| 72 | + |
| 73 | + if min == float('inf'): |
| 74 | + break |
| 75 | + visited.append(x) |
| 76 | + for nbr in x.connectedTo: |
| 77 | + if nbr in visited: |
| 78 | + break |
| 79 | + if (dist[x] + x.connectedTo[nbr]) < dist[nbr]: |
| 80 | + dist[nbr] = dist[x] + x.connectedTo[nbr] |
| 81 | + prevVertex[nbr] = x |
| 82 | + |
| 83 | + path, current = [], dest |
| 84 | + while prevVertex[current] != None: |
| 85 | + path.insert(0, current.id) |
| 86 | + current = prevVertex[current] |
| 87 | + path.insert(0, src.id) |
| 88 | + #return dist[dest] |
| 89 | + return path |
| 90 | + |
| 91 | + |
| 92 | + |
| 93 | +if __name__ == "__main__": |
| 94 | + g = Graph() |
| 95 | + for i in range(9): |
| 96 | + g.addVertex(i) |
| 97 | + |
| 98 | + g.addEdge(0, 1, 4) |
| 99 | + g.addEdge(0, 7, 8) |
| 100 | + g.addEdge(1, 2, 8) |
| 101 | + g.addEdge(2, 3, 7) |
| 102 | + g.addEdge(1, 7, 11) |
| 103 | + g.addEdge(7, 8, 7) |
| 104 | + g.addEdge(2, 8, 2) |
| 105 | + g.addEdge(7, 6, 1) |
| 106 | + g.addEdge(8, 6, 6) |
| 107 | + g.addEdge(6, 5, 2) |
| 108 | + g.addEdge(2, 5, 4) |
| 109 | + g.addEdge(3, 5, 14) |
| 110 | + g.addEdge(5, 4, 10) |
| 111 | + g.addEdge(3, 4, 9) |
| 112 | + |
| 113 | + print(g.disjkstra(g.getVertex(0), g.getVertex(8))) |
0 commit comments