import networkx as nx


def validate_grid_path(r, c, s, t, p):
    assert isinstance(p, list)
    assert p[0] == s
    assert p[-1] == t
    s = ((s - 1) // c, (s - 1) % c)
    t = ((t - 1) // c, (t - 1) % c)
    assert len(p) == abs(t[0] - s[0]) + abs(t[1] - s[1]) + 1
    p = [((u - 1) // c, (u - 1) % c) for u in p]
    for u in p:
        assert 0 <= u[0] < r
        assert 0 <= u[1] < c
    for u, v in zip(p[:-1], p[1:]):
        assert (abs(v[0] - u[0]), abs(v[1] - u[1])) in [(0, 1), (1, 0)]


class TestUnweightedPath:
    @classmethod
    def setup_class(cls):
        from networkx import convert_node_labels_to_integers as cnlti

        cls.grid = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted")
        cls.cycle = nx.cycle_graph(7)
        cls.directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph())

    def test_bidirectional_shortest_path(self):
        assert nx.bidirectional_shortest_path(self.cycle, 0, 3) == [0, 1, 2, 3]
        assert nx.bidirectional_shortest_path(self.cycle, 0, 4) == [0, 6, 5, 4]
        validate_grid_path(
            4, 4, 1, 12, nx.bidirectional_shortest_path(self.grid, 1, 12)
        )
        assert nx.bidirectional_shortest_path(self.directed_cycle, 0, 3) == [0, 1, 2, 3]

    def test_shortest_path_length(self):
        assert nx.shortest_path_length(self.cycle, 0, 3) == 3
        assert nx.shortest_path_length(self.grid, 1, 12) == 5
        assert nx.shortest_path_length(self.directed_cycle, 0, 4) == 4
        # now with weights
        assert nx.shortest_path_length(self.cycle, 0, 3, weight=True) == 3
        assert nx.shortest_path_length(self.grid, 1, 12, weight=True) == 5
        assert nx.shortest_path_length(self.directed_cycle, 0, 4, weight=True) == 4

    def test_single_source_shortest_path(self):
        p = nx.single_source_shortest_path(self.directed_cycle, 3)
        assert p[0] == [3, 4, 5, 6, 0]
        p = nx.single_source_shortest_path(self.cycle, 0)
        assert p[3] == [0, 1, 2, 3]
        p = nx.single_source_shortest_path(self.cycle, 0, cutoff=0)
        assert p == {0: [0]}

    def test_single_source_shortest_path_length(self):
        pl = nx.single_source_shortest_path_length
        lengths = {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1}
        assert dict(pl(self.cycle, 0)) == lengths
        lengths = {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}
        assert dict(pl(self.directed_cycle, 0)) == lengths

    def test_single_target_shortest_path(self):
        p = nx.single_target_shortest_path(self.directed_cycle, 0)
        assert p[3] == [3, 4, 5, 6, 0]
        p = nx.single_target_shortest_path(self.cycle, 0)
        assert p[3] == [3, 2, 1, 0]
        p = nx.single_target_shortest_path(self.cycle, 0, cutoff=0)
        assert p == {0: [0]}

    def test_single_target_shortest_path_length(self):
        pl = nx.single_target_shortest_path_length
        lengths = {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1}
        assert dict(pl(self.cycle, 0)) == lengths
        lengths = {0: 0, 1: 6, 2: 5, 3: 4, 4: 3, 5: 2, 6: 1}
        assert dict(pl(self.directed_cycle, 0)) == lengths

    def test_all_pairs_shortest_path(self):
        p = dict(nx.all_pairs_shortest_path(self.cycle))
        assert p[0][3] == [0, 1, 2, 3]
        p = dict(nx.all_pairs_shortest_path(self.grid))
        validate_grid_path(4, 4, 1, 12, p[1][12])

    def test_all_pairs_shortest_path_length(self):
        l = dict(nx.all_pairs_shortest_path_length(self.cycle))
        assert l[0] == {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2, 6: 1}
        l = dict(nx.all_pairs_shortest_path_length(self.grid))
        assert l[1][16] == 6

    def test_predecessor_path(self):
        G = nx.path_graph(4)
        assert nx.predecessor(G, 0) == {0: [], 1: [0], 2: [1], 3: [2]}
        assert nx.predecessor(G, 0, 3) == [2]

    def test_predecessor_cycle(self):
        G = nx.cycle_graph(4)
        pred = nx.predecessor(G, 0)
        assert pred[0] == []
        assert pred[1] == [0]
        assert pred[2] in [[1, 3], [3, 1]]
        assert pred[3] == [0]

    def test_predecessor_cutoff(self):
        G = nx.path_graph(4)
        p = nx.predecessor(G, 0, 3)
        assert 4 not in p

    def test_predecessor_target(self):
        G = nx.path_graph(4)
        p = nx.predecessor(G, 0, 3)
        assert p == [2]
        p = nx.predecessor(G, 0, 3, cutoff=2)
        assert p == []
        p, s = nx.predecessor(G, 0, 3, return_seen=True)
        assert p == [2]
        assert s == 3
        p, s = nx.predecessor(G, 0, 3, cutoff=2, return_seen=True)
        assert p == []
        assert s == -1
