import networkx as nx
from nose.tools import *

import networkx.generators.line as line
from networkx.testing.utils import *


def test_node_func():
    # graph
    G = nx.Graph()
    G.add_edge(1, 2)
    nf = line._node_func(G)
    assert_equal(nf(1, 2), (1, 2))
    assert_equal(nf(2, 1), (1, 2))

    # multigraph
    G = nx.MultiGraph()
    G.add_edge(1, 2)
    G.add_edge(1, 2)
    nf = line._node_func(G)
    assert_equal(nf(1, 2, 0), (1, 2, 0))
    assert_equal(nf(2, 1, 0), (1, 2, 0))


def test_edge_func():
    # graph
    G = nx.Graph()
    G.add_edge(1, 2)
    G.add_edge(2, 3)
    ef = line._edge_func(G)
    expected = [(1, 2), (2, 3)]
    assert_edges_equal(ef(), expected)

    # digraph
    G = nx.MultiDiGraph()
    G.add_edge(1, 2)
    G.add_edge(2, 3)
    G.add_edge(2, 3)
    ef = line._edge_func(G)
    expected = [(1, 2, 0), (2, 3, 0), (2, 3, 1)]
    result = sorted(ef())
    assert_equal(expected, result)


def test_sorted_edge():
    assert_equal((1, 2), line._sorted_edge(1, 2))
    assert_equal((1, 2), line._sorted_edge(2, 1))


class TestGeneratorLine():
    def test_star(self):
        G = nx.star_graph(5)
        L = nx.line_graph(G)
        assert_true(nx.is_isomorphic(L, nx.complete_graph(5)))

    def test_path(self):
        G = nx.path_graph(5)
        L = nx.line_graph(G)
        assert_true(nx.is_isomorphic(L, nx.path_graph(4)))

    def test_cycle(self):
        G = nx.cycle_graph(5)
        L = nx.line_graph(G)
        assert_true(nx.is_isomorphic(L, G))

    def test_digraph1(self):
        G = nx.DiGraph()
        G.add_edges_from([(0, 1), (0, 2), (0, 3)])
        L = nx.line_graph(G)
        # no edge graph, but with nodes
        assert_equal(L.adj, {(0, 1): {}, (0, 2): {}, (0, 3): {}})

    def test_digraph2(self):
        G = nx.DiGraph()
        G.add_edges_from([(0, 1), (1, 2), (2, 3)])
        L = nx.line_graph(G)
        assert_edges_equal(L.edges(), [((0, 1), (1, 2)), ((1, 2), (2, 3))])

    def test_create1(self):
        G = nx.DiGraph()
        G.add_edges_from([(0, 1), (1, 2), (2, 3)])
        L = nx.line_graph(G, create_using=nx.Graph())
        assert_edges_equal(L.edges(), [((0, 1), (1, 2)), ((1, 2), (2, 3))])

    def test_create2(self):
        G = nx.Graph()
        G.add_edges_from([(0, 1), (1, 2), (2, 3)])
        L = nx.line_graph(G, create_using=nx.DiGraph())
        assert_edges_equal(L.edges(), [((0, 1), (1, 2)), ((1, 2), (2, 3))])


class TestGeneratorInverseLine():
    def test_example(self):
        G = nx.Graph()
        G_edges = [[1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6],
                   [2, 7], [3, 4], [3, 5], [6, 7], [6, 8], [7, 8]]
        G.add_edges_from(G_edges)
        H = nx.inverse_line_graph(G)
        solution = nx.Graph()
        solution_edges = [('a', 'b'), ('a', 'c'), ('a', 'd'), ('a', 'e'),
                          ('c', 'd'), ('e', 'f'), ('e', 'g'), ('f', 'g')]
        solution.add_edges_from(solution_edges)
        assert_true(nx.is_isomorphic(H, solution))

    def test_example_2(self):
        G = nx.Graph()
        G_edges = [[1, 2], [1, 3], [2, 3],
                   [3, 4], [3, 5], [4, 5]]
        G.add_edges_from(G_edges)
        H = nx.inverse_line_graph(G)
        solution = nx.Graph()
        solution_edges = [('a', 'c'), ('b', 'c'), ('c', 'd'),
                          ('d', 'e'), ('d', 'f')]
        solution.add_edges_from(solution_edges)
        assert_true(nx.is_isomorphic(H, solution))

    def test_pair(self):
        G = nx.path_graph(2)
        H = nx.inverse_line_graph(G)
        solution = nx.path_graph(3)
        assert_true(nx.is_isomorphic(H, solution))

    def test_line(self):
        G = nx.path_graph(5)
        solution = nx.path_graph(6)
        H = nx.inverse_line_graph(G)
        assert_true(nx.is_isomorphic(H, solution))

    def test_triangle_graph(self):
        G = nx.complete_graph(3)
        H = nx.inverse_line_graph(G)
        alternative_solution = nx.Graph()
        alternative_solution.add_edges_from([[0, 1], [0, 2], [0, 3]])
        # there are two alternative inverse line graphs for this case
        # so long as we get one of them the test should pass
        assert_true(nx.is_isomorphic(H, G) or
                    nx.is_isomorphic(H, alternative_solution))

    def test_cycle(self):
        G = nx.cycle_graph(5)
        H = nx.inverse_line_graph(G)
        assert_true(nx.is_isomorphic(H, G))

    def test_empty(self):
        G = nx.Graph()
        assert_raises(nx.NetworkXError, nx.inverse_line_graph, G)

    def test_claw(self):
        # This is the simplest non-line graph
        G = nx.Graph()
        G_edges = [[0, 1], [0, 2], [0, 3]]
        G.add_edges_from(G_edges)
        assert_raises(nx.NetworkXError, nx.inverse_line_graph, G)

    def test_non_line_graph(self):
        # These are other non-line graphs
        G = nx.Graph()
        G_edges = [[0, 1], [0, 2], [0, 3], [0, 4], [0, 5], [1, 2],
                   [2, 3], [3, 4], [4, 5], [5, 1]]
        G.add_edges_from(G_edges)
        assert_raises(nx.NetworkXError, nx.inverse_line_graph, G)

        G = nx.Graph()
        G_edges = [[0, 1], [1, 2], [3, 4], [4, 5], [0, 3], [1, 3],
                   [1, 4], [2, 4], [2, 5]]
        G.add_edges_from(G_edges)
        assert_raises(nx.NetworkXError, nx.inverse_line_graph, G)

    def test_wrong_graph_type(self):
        G = nx.DiGraph()
        G_edges = [[0, 1], [0, 2], [0, 3]]
        G.add_edges_from(G_edges)
        assert_raises(nx.NetworkXNotImplemented, nx.inverse_line_graph, G)

        G = nx.MultiGraph()
        G_edges = [[0, 1], [0, 2], [0, 3]]
        G.add_edges_from(G_edges)
        assert_raises(nx.NetworkXNotImplemented, nx.inverse_line_graph, G)

    def test_line_inverse_line_complete(self):
        G = nx.complete_graph(10)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))

    def test_line_inverse_line_path(self):
        G = nx.path_graph(10)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))

    def test_line_inverse_line_hypercube(self):
        G = nx.hypercube_graph(5)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))

    def test_line_inverse_line_cycle(self):
        G = nx.cycle_graph(10)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))

    def test_line_inverse_line_star(self):
        G = nx.star_graph(20)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))

    def test_line_inverse_line_multipartite(self):
        G = nx.complete_multipartite_graph(3, 4, 5)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))

    def test_line_inverse_line_dgm(self):
        G = nx.dorogovtsev_goltsev_mendes_graph(4)
        H = nx.line_graph(G)
        J = nx.inverse_line_graph(H)
        assert_true(nx.is_isomorphic(G, J))
