#!/usr/bin/env python
import time
from nose.tools import *
import networkx as nx
from networkx import NetworkXNotImplemented


class TestStronglyConnected:

    def setUp(self):
        self.gc = []
        G = nx.DiGraph()
        G.add_edges_from([(1, 2), (2, 3), (2, 8), (3, 4), (3, 7), (4, 5),
                          (5, 3), (5, 6), (7, 4), (7, 6), (8, 1), (8, 7)])
        C = {frozenset([3, 4, 5, 7]), frozenset([1, 2, 8]), frozenset([6])}
        self.gc.append((G, C))

        G = nx.DiGraph()
        G.add_edges_from([(1, 2), (1, 3), (1, 4), (4, 2), (3, 4), (2, 3)])
        C = {frozenset([2, 3, 4]), frozenset([1])}
        self.gc.append((G, C))

        G = nx.DiGraph()
        G.add_edges_from([(1, 2), (2, 3), (3, 2), (2, 1)])
        C = {frozenset([1, 2, 3])}
        self.gc.append((G, C))

        # Eppstein's tests
        G = nx.DiGraph({0: [1], 1: [2, 3], 2: [4, 5], 3: [4, 5], 4: [6], 5: [], 6: []})
        C = {
            frozenset([0]),
            frozenset([1]),
            frozenset([2]),
            frozenset([3]),
            frozenset([4]),
            frozenset([5]),
            frozenset([6]),
        }
        self.gc.append((G, C))

        G = nx.DiGraph({0: [1], 1: [2, 3, 4], 2: [0, 3], 3: [4], 4: [3]})
        C = {frozenset([0, 1, 2]), frozenset([3, 4])}
        self.gc.append((G, C))

    def test_tarjan(self):
        scc = nx.strongly_connected_components
        for G, C in self.gc:
            assert_equal({frozenset(g) for g in scc(G)}, C)

    def test_tarjan_recursive(self):
        scc = nx.strongly_connected_components_recursive
        for G, C in self.gc:
            assert_equal({frozenset(g) for g in scc(G)}, C)

    def test_kosaraju(self):
        scc = nx.kosaraju_strongly_connected_components
        for G, C in self.gc:
            assert_equal({frozenset(g) for g in scc(G)}, C)

    def test_number_strongly_connected_components(self):
        ncc = nx.number_strongly_connected_components
        for G, C in self.gc:
            assert_equal(ncc(G), len(C))

    def test_is_strongly_connected(self):
        for G, C in self.gc:
            if len(C) == 1:
                assert_true(nx.is_strongly_connected(G))
            else:
                assert_false(nx.is_strongly_connected(G))

    # deprecated
    def test_strongly_connected_component_subgraphs(self):
        scc = nx.strongly_connected_component_subgraphs
        for G, C in self.gc:
            assert_equal({frozenset(g) for g in scc(G)}, C)

    def test_contract_scc1(self):
        G = nx.DiGraph()
        G.add_edges_from([
            (1, 2), (2, 3), (2, 11), (2, 12), (3, 4), (4, 3), (4, 5), (5, 6),
            (6, 5), (6, 7), (7, 8), (7, 9), (7, 10), (8, 9), (9, 7), (10, 6),
            (11, 2), (11, 4), (11, 6), (12, 6), (12, 11),
        ])
        scc = list(nx.strongly_connected_components(G))
        cG = nx.condensation(G, scc)
        # DAG
        assert_true(nx.is_directed_acyclic_graph(cG))
        # nodes
        assert_equal(sorted(cG.nodes()), [0, 1, 2, 3])
        # edges
        mapping = {}
        for i, component in enumerate(scc):
            for n in component:
                mapping[n] = i
        edge = (mapping[2], mapping[3])
        assert_true(cG.has_edge(*edge))
        edge = (mapping[2], mapping[5])
        assert_true(cG.has_edge(*edge))
        edge = (mapping[3], mapping[5])
        assert_true(cG.has_edge(*edge))

    def test_contract_scc_isolate(self):
        # Bug found and fixed in [1687].
        G = nx.DiGraph()
        G.add_edge(1, 2)
        G.add_edge(2, 1)
        scc = list(nx.strongly_connected_components(G))
        cG = nx.condensation(G, scc)
        assert_equal(list(cG.nodes()), [0])
        assert_equal(list(cG.edges()), [])

    def test_contract_scc_edge(self):
        G = nx.DiGraph()
        G.add_edge(1, 2)
        G.add_edge(2, 1)
        G.add_edge(2, 3)
        G.add_edge(3, 4)
        G.add_edge(4, 3)
        scc = list(nx.strongly_connected_components(G))
        cG = nx.condensation(G, scc)
        assert_equal(sorted(cG.nodes()), [0, 1])
        if 1 in scc[0]:
            edge = (0, 1)
        else:
            edge = (1, 0)
        assert_equal(list(cG.edges()), [edge])

    def test_condensation_mapping_and_members(self):
        G, C = self.gc[1]
        C = sorted(C, key=len, reverse=True)
        cG = nx.condensation(G)
        mapping = cG.graph['mapping']
        assert_true(all(n in G for n in mapping))
        assert_true(all(0 == cN for n, cN in mapping.items() if n in C[0]))
        assert_true(all(1 == cN for n, cN in mapping.items() if n in C[1]))
        for n, d in cG.nodes(data=True):
            assert_equal(set(C[n]), cG.nodes[n]['members'])

    def test_null_graph(self):
        G = nx.DiGraph()
        assert_equal(list(nx.strongly_connected_components(G)), [])
        assert_equal(list(nx.kosaraju_strongly_connected_components(G)), [])
        assert_equal(list(nx.strongly_connected_components_recursive(G)), [])
        assert_equal(len(nx.condensation(G)), 0)
        assert_raises(nx.NetworkXPointlessConcept, nx.is_strongly_connected, nx.DiGraph())

    def test_connected_raise(self):
        G = nx.Graph()
        assert_raises(NetworkXNotImplemented, nx.strongly_connected_components, G)
        assert_raises(NetworkXNotImplemented, nx.kosaraju_strongly_connected_components, G)
        assert_raises(NetworkXNotImplemented, nx.strongly_connected_components_recursive, G)
        assert_raises(NetworkXNotImplemented, nx.is_strongly_connected, G)
        assert_raises(nx.NetworkXPointlessConcept, nx.is_strongly_connected, nx.DiGraph())
        assert_raises(NetworkXNotImplemented, nx.condensation, G)
        # deprecated
        assert_raises(NetworkXNotImplemented, nx.strongly_connected_component_subgraphs, G)

#    Commented out due to variability on Travis-CI hardware/operating systems
#    def test_linear_time(self):
#        # See Issue #2831
#        count = 100  # base case
#        dg = nx.DiGraph()
#        dg.add_nodes_from([0, 1])
#        for i in range(2, count):
#            dg.add_node(i)
#            dg.add_edge(i, 1)
#            dg.add_edge(0, i)
#        t = time.time()
#        ret = tuple(nx.strongly_connected_components(dg))
#        dt = time.time() - t
#
#        count = 200
#        dg = nx.DiGraph()
#        dg.add_nodes_from([0, 1])
#        for i in range(2, count):
#            dg.add_node(i)
#            dg.add_edge(i, 1)
#            dg.add_edge(0, i)
#        t = time.time()
#        ret = tuple(nx.strongly_connected_components(dg))
#        dt2 = time.time() - t
#        assert_less(dt2, dt * 2.3)  # should be 2 times longer for this graph
