"""
    Tests for VF2 isomorphism algorithm.
"""

import os
import struct
import random

import pytest
import networkx as nx
from networkx.algorithms import isomorphism as iso


class TestWikipediaExample(object):
    # Source: https://en.wikipedia.org/wiki/Graph_isomorphism

    # Nodes 'a', 'b', 'c' and 'd' form a column.
    # Nodes 'g', 'h', 'i' and 'j' form a column.
    g1edges = [['a', 'g'], ['a', 'h'], ['a', 'i'],
               ['b', 'g'], ['b', 'h'], ['b', 'j'],
               ['c', 'g'], ['c', 'i'], ['c', 'j'],
               ['d', 'h'], ['d', 'i'], ['d', 'j']]

    # Nodes 1,2,3,4 form the clockwise corners of a large square.
    # Nodes 5,6,7,8 form the clockwise corners of a small square
    g2edges = [[1, 2], [2, 3], [3, 4], [4, 1],
               [5, 6], [6, 7], [7, 8], [8, 5],
               [1, 5], [2, 6], [3, 7], [4, 8]]

    def test_graph(self):
        g1 = nx.Graph()
        g2 = nx.Graph()
        g1.add_edges_from(self.g1edges)
        g2.add_edges_from(self.g2edges)
        gm = iso.GraphMatcher(g1, g2)
        assert gm.is_isomorphic()
        #Just testing some cases
        assert gm.subgraph_is_monomorphic()

        mapping = sorted(gm.mapping.items())
# this mapping is only one of the possibilies
# so this test needs to be reconsidered
#        isomap = [('a', 1), ('b', 6), ('c', 3), ('d', 8),
#                  ('g', 2), ('h', 5), ('i', 4), ('j', 7)]
#        assert_equal(mapping, isomap)

    def test_subgraph(self):
        g1 = nx.Graph()
        g2 = nx.Graph()
        g1.add_edges_from(self.g1edges)
        g2.add_edges_from(self.g2edges)
        g3 = g2.subgraph([1, 2, 3, 4])
        gm = iso.GraphMatcher(g1, g3)
        assert gm.subgraph_is_isomorphic()


    def test_subgraph_mono(self):
        g1 = nx.Graph()
        g2 = nx.Graph()
        g1.add_edges_from(self.g1edges)
        g2.add_edges_from([[1, 2], [2, 3], [3, 4]])
        gm = iso.GraphMatcher(g1, g2)
        assert gm.subgraph_is_monomorphic()


class TestVF2GraphDB(object):
    # http://amalfi.dis.unina.it/graph/db/

    @staticmethod
    def create_graph(filename):
        """Creates a Graph instance from the filename."""

        # The file is assumed to be in the format from the VF2 graph database.
        # Each file is composed of 16-bit numbers (unsigned short int).
        # So we will want to read 2 bytes at a time.

        # We can read the number as follows:
        #   number = struct.unpack('<H', file.read(2))
        # This says, expect the data in little-endian encoding
        # as an unsigned short int and unpack 2 bytes from the file.

        fh = open(filename, mode='rb')

        # Grab the number of nodes.
        # Node numeration is 0-based, so the first node has index 0.
        nodes = struct.unpack('<H', fh.read(2))[0]

        graph = nx.Graph()
        for from_node in range(nodes):
            # Get the number of edges.
            edges = struct.unpack('<H', fh.read(2))[0]
            for edge in range(edges):
                # Get the terminal node.
                to_node = struct.unpack('<H', fh.read(2))[0]
                graph.add_edge(from_node, to_node)

        fh.close()
        return graph

    def test_graph(self):
        head, tail = os.path.split(__file__)
        g1 = self.create_graph(os.path.join(head, 'iso_r01_s80.A99'))
        g2 = self.create_graph(os.path.join(head, 'iso_r01_s80.B99'))
        gm = iso.GraphMatcher(g1, g2)
        assert gm.is_isomorphic()

    def test_subgraph(self):
        # A is the subgraph
        # B is the full graph
        head, tail = os.path.split(__file__)
        subgraph = self.create_graph(os.path.join(head, 'si2_b06_m200.A99'))
        graph = self.create_graph(os.path.join(head, 'si2_b06_m200.B99'))
        gm = iso.GraphMatcher(graph, subgraph)
        assert gm.subgraph_is_isomorphic()
        #Just testing some cases
        assert gm.subgraph_is_monomorphic()

    # There isn't a similar test implemented for subgraph monomorphism,
    # feel free to create one.


class TestAtlas(object):
    @classmethod
    def setup_class(cls):
        global atlas
        import platform
        if platform.python_implementation() == 'Jython':
            pytest.mark.skip('graph atlas not available under Jython.')
        import networkx.generators.atlas as atlas

        cls.GAG = atlas.graph_atlas_g()

    def test_graph_atlas(self):
        # Atlas = nx.graph_atlas_g()[0:208] # 208, 6 nodes or less
        Atlas = self.GAG[0:100]
        alphabet = list(range(26))
        for graph in Atlas:
            nlist = list(graph)
            labels = alphabet[:len(nlist)]
            for s in range(10):
                random.shuffle(labels)
                d = dict(zip(nlist, labels))
                relabel = nx.relabel_nodes(graph, d)
                gm = iso.GraphMatcher(graph, relabel)
                assert gm.is_isomorphic()


def test_multiedge():
    # Simple test for multigraphs
    # Need something much more rigorous
    edges = [(0, 1), (1, 2), (2, 3), (3, 4), (4, 5),
             (5, 6), (6, 7), (7, 8), (8, 9), (9, 10),
             (10, 11), (10, 11), (11, 12), (11, 12),
             (12, 13), (12, 13), (13, 14), (13, 14),
             (14, 15), (14, 15), (15, 16), (15, 16),
             (16, 17), (16, 17), (17, 18), (17, 18),
             (18, 19), (18, 19), (19, 0), (19, 0)]
    nodes = list(range(20))

    for g1 in [nx.MultiGraph(), nx.MultiDiGraph()]:
        g1.add_edges_from(edges)
        for _ in range(10):
            new_nodes = list(nodes)
            random.shuffle(new_nodes)
            d = dict(zip(nodes, new_nodes))
            g2 = nx.relabel_nodes(g1, d)
            if not g1.is_directed():
                gm = iso.GraphMatcher(g1, g2)
            else:
                gm = iso.DiGraphMatcher(g1, g2)
            assert gm.is_isomorphic()
            #Testing if monomorphism works in multigraphs
            assert gm.subgraph_is_monomorphic()


def test_selfloop():
    # Simple test for graphs with selfloops
    edges = [(0, 1), (0, 2), (1, 2), (1, 3), (2, 2),
             (2, 4), (3, 1), (3, 2), (4, 2), (4, 5), (5, 4)]
    nodes = list(range(6))

    for g1 in [nx.Graph(), nx.DiGraph()]:
        g1.add_edges_from(edges)
        for _ in range(100):
            new_nodes = list(nodes)
            random.shuffle(new_nodes)
            d = dict(zip(nodes, new_nodes))
            g2 = nx.relabel_nodes(g1, d)
            if not g1.is_directed():
                gm = iso.GraphMatcher(g1, g2)
            else:
                gm = iso.DiGraphMatcher(g1, g2)
            assert gm.is_isomorphic()
            

def test_selfloop_mono():
    # Simple test for graphs with selfloops
    edges0 = [(0, 1), (0, 2), (1, 2), (1, 3),
             (2, 4), (3, 1), (3, 2), (4, 2), (4, 5), (5, 4)]
    edges = edges0 + [(2, 2)]
    nodes = list(range(6))

    for g1 in [nx.Graph(), nx.DiGraph()]:
        g1.add_edges_from(edges)
        for _ in range(100):
            new_nodes = list(nodes)
            random.shuffle(new_nodes)
            d = dict(zip(nodes, new_nodes))
            g2 = nx.relabel_nodes(g1, d)
            g2.remove_edges_from(nx.selfloop_edges(g2))
            if not g1.is_directed():
                gm = iso.GraphMatcher(g2, g1)
            else:
                gm = iso.DiGraphMatcher(g2, g1)
            assert not gm.subgraph_is_monomorphic()


def test_isomorphism_iter1():
    # As described in:
    # http://groups.google.com/group/networkx-discuss/browse_thread/thread/2ff65c67f5e3b99f/d674544ebea359bb?fwc=1
    g1 = nx.DiGraph()
    g2 = nx.DiGraph()
    g3 = nx.DiGraph()
    g1.add_edge('A', 'B')
    g1.add_edge('B', 'C')
    g2.add_edge('Y', 'Z')
    g3.add_edge('Z', 'Y')
    gm12 = iso.DiGraphMatcher(g1, g2)
    gm13 = iso.DiGraphMatcher(g1, g3)
    x = list(gm12.subgraph_isomorphisms_iter())
    y = list(gm13.subgraph_isomorphisms_iter())
    assert {'A': 'Y', 'B': 'Z'} in x
    assert {'B': 'Y', 'C': 'Z'} in x
    assert {'A': 'Z', 'B': 'Y'} in y
    assert {'B': 'Z', 'C': 'Y'} in y
    assert len(x) == len(y)
    assert len(x) == 2


def test_monomorphism_iter1():
    g1 = nx.DiGraph()
    g2 = nx.DiGraph()
    g1.add_edge('A', 'B')
    g1.add_edge('B', 'C')
    g1.add_edge('C', 'A')
    g2.add_edge('X', 'Y')
    g2.add_edge('Y', 'Z')
    gm12 = iso.DiGraphMatcher(g1, g2)
    x = list(gm12.subgraph_monomorphisms_iter())
    assert {'A': 'X', 'B': 'Y', 'C': 'Z'} in x
    assert {'A': 'Y', 'B': 'Z', 'C': 'X'} in x
    assert {'A': 'Z', 'B': 'X', 'C': 'Y'} in x
    assert len(x) == 3
    gm21 = iso.DiGraphMatcher(g2, g1)
    #Check if StopIteration exception returns False
    assert not gm21.subgraph_is_monomorphic()


def test_isomorphism_iter2():
    # Path
    for L in range(2, 10):
        g1 = nx.path_graph(L)
        gm = iso.GraphMatcher(g1, g1)
        s = len(list(gm.isomorphisms_iter()))
        assert s == 2
    # Cycle
    for L in range(3, 10):
        g1 = nx.cycle_graph(L)
        gm = iso.GraphMatcher(g1, g1)
        s = len(list(gm.isomorphisms_iter()))
        assert s == 2 * L


def test_multiple():
    # Verify that we can use the graph matcher multiple times
    edges = [('A', 'B'), ('B', 'A'), ('B', 'C')]
    for g1, g2 in [(nx.Graph(), nx.Graph()), (nx.DiGraph(), nx.DiGraph())]:
        g1.add_edges_from(edges)
        g2.add_edges_from(edges)
        g3 = nx.subgraph(g2, ['A', 'B'])
        if not g1.is_directed():
            gmA = iso.GraphMatcher(g1, g2)
            gmB = iso.GraphMatcher(g1, g3)
        else:
            gmA = iso.DiGraphMatcher(g1, g2)
            gmB = iso.DiGraphMatcher(g1, g3)
        assert gmA.is_isomorphic()
        g2.remove_node('C')
        if not g1.is_directed():
            gmA = iso.GraphMatcher(g1, g2)
        else:
            gmA = iso.DiGraphMatcher(g1, g2)
        assert gmA.subgraph_is_isomorphic()
        assert gmB.subgraph_is_isomorphic()
        assert gmA.subgraph_is_monomorphic()
        assert gmB.subgraph_is_monomorphic()
#        for m in [gmB.mapping, gmB.mapping]:
#            assert_true(m['A'] == 'A')
#            assert_true(m['B'] == 'B')
#            assert_true('C' not in m)

def test_noncomparable_nodes():
    node1 = object()
    node2 = object()
    node3 = object()

    # Graph
    G = nx.path_graph([node1, node2, node3])
    gm = iso.GraphMatcher(G, G)
    assert gm.is_isomorphic()
    #Just testing some cases
    assert gm.subgraph_is_monomorphic()

    # DiGraph
    G = nx.path_graph([node1, node2, node3], create_using=nx.DiGraph)
    H = nx.path_graph([node3, node2, node1], create_using=nx.DiGraph)
    dgm = iso.DiGraphMatcher(G, H)
    assert dgm.is_isomorphic()
    #Just testing some cases
    assert gm.subgraph_is_monomorphic()