#!/usr/bin/env python
"""
====================
Generators - Non Isomorphic Trees
====================

Unit tests for WROM algorithm generator in generators/nonisomorphic_trees.py
"""
from nose.tools import *
from networkx import *
from networkx.testing import *


class TestGeneratorNonIsomorphicTrees():

    def test_tree_structure(self):
        # test for tree structure for nx.nonisomorphic_trees()
        def f(x): return list(nx.nonisomorphic_trees(x))
        for i in f(6):
            assert_true(nx.is_tree(i))
        for i in f(8):
            assert_true(nx.is_tree(i))

    def test_nonisomorphism(self):
        # test for nonisomorphism of trees for nx.nonisomorphic_trees()
        def f(x): return list(nx.nonisomorphic_trees(x))
        trees = f(6)
        for i in range(len(trees)):
            for j in range(i + 1, len(trees)):
                assert_false(nx.is_isomorphic(trees[i], trees[j]))
        trees = f(8)
        for i in range(len(trees)):
            for j in range(i + 1, len(trees)):
                assert_false(nx.is_isomorphic(trees[i], trees[j]))

    def test_number_of_nonisomorphic_trees(self):
        # http://oeis.org/A000055
        assert_equal(nx.number_of_nonisomorphic_trees(2), 1)
        assert_equal(nx.number_of_nonisomorphic_trees(3), 1)
        assert_equal(nx.number_of_nonisomorphic_trees(4), 2)
        assert_equal(nx.number_of_nonisomorphic_trees(5), 3)
        assert_equal(nx.number_of_nonisomorphic_trees(6), 6)
        assert_equal(nx.number_of_nonisomorphic_trees(7), 11)
        assert_equal(nx.number_of_nonisomorphic_trees(8), 23)

    def test_nonisomorphic_trees(self):
        def f(x): return list(nx.nonisomorphic_trees(x))
        assert_edges_equal(f(3)[0].edges(), [(0, 1), (0, 2)])
        assert_edges_equal(f(4)[0].edges(), [(0, 1), (0, 3), (1, 2)])
        assert_edges_equal(f(4)[1].edges(), [(0, 1), (0, 2), (0, 3)])

    def test_nonisomorphic_trees_matrix(self):
        trees_2 = [[[0, 1], [1, 0]]]
        assert_equal(list(nx.nonisomorphic_trees(2, create="matrix")), trees_2)
        trees_3 = [[[0, 1, 1], [1, 0, 0], [1, 0, 0]]]
        assert_equal(list(nx.nonisomorphic_trees(3, create="matrix")), trees_3)
        trees_4 = [[[0, 1, 0, 1], [1, 0, 1, 0], [0, 1, 0, 0], [1, 0, 0, 0]],
                   [[0, 1, 1, 1], [1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0]]]
        assert_equal(list(nx.nonisomorphic_trees(4, create="matrix")), trees_4)