|
9 | 9 | *
|
10 | 10 | *
|
11 | 11 | """
|
12 |
| -from algs4.bag import Bag |
| 12 | +import random |
| 13 | + |
| 14 | +from algs4.stack import Stack |
13 | 15 | from algs4.directed_edge import DirectedEdge
|
| 16 | +from algs4.edge_weighted_digraph import EdgeWeightedDigraph |
14 | 17 |
|
15 | 18 |
|
16 | 19 | class EdgeWeightedDirectedCycle:
|
17 |
| - def __init__(self, v=0, **kwargs): |
18 |
| - self.V = v |
19 |
| - self.E = 0 |
20 |
| - self.adj = {} |
21 |
| - for v in range(self.V): |
22 |
| - self.adj[v] = Bag() |
23 |
| - |
24 |
| - if 'file' in kwargs: |
25 |
| - # init a digraph by a file input |
26 |
| - in_file = kwargs['file'] |
27 |
| - self.V = int(in_file.readline()) |
28 |
| - for v in range(self.V): |
29 |
| - self.adj[v] = Bag() |
30 |
| - E = int(in_file.readline()) |
31 |
| - for i in range(E): |
32 |
| - v, w, weight = in_file.readline().split() |
33 |
| - self.add_edge(DirectedEdge(int(v), int(w), float(weight))) |
34 |
| - |
35 |
| - def __str__(self): |
36 |
| - s = "%d vertices, %d edges\n" % (self.V, self.E) |
37 |
| - for i in range(self.V): |
38 |
| - adjs = " ".join([str(x) for x in self.adj[i]]) |
39 |
| - s += "%d: %s\n" % (i, adjs) |
40 |
| - return s |
41 |
| - |
42 |
| - def add_edge(self, e): |
43 |
| - self.adj[e.From()].add(e) |
44 |
| - self.E += 1 |
45 |
| - |
46 |
| - def edges(self): |
47 |
| - edges = [] |
48 |
| - for v in range(self.V): |
49 |
| - for e in self.adj[v]: |
50 |
| - edges.append(e) |
51 |
| - return edges |
| 20 | + def __init__(self, G): |
| 21 | + self.cycle = None |
| 22 | + self.marked = [False for _ in range(G.V)] |
| 23 | + self.on_stack = [False for _ in range(G.V)] |
| 24 | + self.edge_to = [None for _ in range(G.V)] |
| 25 | + for v in range(G.V): |
| 26 | + if not self.marked[v]: |
| 27 | + self.dfs(G, v) |
| 28 | + |
| 29 | + def dfs(self, G, v): |
| 30 | + self.on_stack[v] = True |
| 31 | + self.marked[v] = True |
| 32 | + for e in G.adj[v]: |
| 33 | + w = e.To() |
| 34 | + if self.cycle is not None: |
| 35 | + return |
| 36 | + elif not self.marked[w]: |
| 37 | + print("push stack", e) |
| 38 | + self.edge_to[w] = e |
| 39 | + self.dfs(G, w) |
| 40 | + elif self.on_stack[w]: |
| 41 | + # trace back directed cycle |
| 42 | + self.cycle = Stack() |
| 43 | + f = e |
| 44 | + while f.From() != w: |
| 45 | + self.cycle.push(f) |
| 46 | + f = self.edge_to[f.From()] |
| 47 | + self.cycle.push(f) |
| 48 | + return |
| 49 | + self.on_stack[v] = False |
| 50 | + |
| 51 | + def has_cycle(self): |
| 52 | + return self.cycle is not None |
52 | 53 |
|
53 | 54 |
|
54 | 55 | if __name__ == "__main__":
|
55 | 56 | import sys
|
56 |
| - V, E, F = sys.argv[1:] |
57 |
| - graph = EdgeWeightedDirectedCycle(int(V), int(E), int(F)) |
58 | 57 |
|
| 58 | + V, E, F = sys.argv[1:] |
| 59 | + V = int(V) |
| 60 | + E = int(E) |
| 61 | + F = int(F) |
| 62 | + graph = EdgeWeightedDigraph(V) |
| 63 | + for _ in range(int(E)): |
| 64 | + v = 0 |
| 65 | + w = 0 |
| 66 | + while v >= w: |
| 67 | + v = random.randint(0, V - 1) |
| 68 | + w = random.randint(0, V - 1) |
| 69 | + weight = random.uniform(0, 1) |
| 70 | + graph.add_edge(DirectedEdge(v, w, weight)) |
| 71 | + # add F extra edges |
| 72 | + for _ in range(int(E)): |
| 73 | + v = random.randint(0, V - 1) |
| 74 | + w = random.randint(0, V - 1) |
| 75 | + weight = random.uniform(0, 1) |
| 76 | + graph.add_edge(DirectedEdge(v, w, weight)) |
59 | 77 | print(graph)
|
| 78 | + |
| 79 | + finder = EdgeWeightedDirectedCycle(graph) |
| 80 | + if finder.has_cycle(): |
| 81 | + print("find cycle:\n") |
| 82 | + for e in finder.cycle: |
| 83 | + print(e, " ") |
| 84 | + print() |
| 85 | + else: |
| 86 | + print("No directed cycle") |
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