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from nose.tools import assert_equal
from nose.tools import assert_raises
from nose.tools import assert_true
from nose.tools import raises
import networkx as nx
class TestConfigurationModel(object):
"""Unit tests for the :func:`~networkx.configuration_model`
function.
"""
def test_empty_degree_sequence(self):
"""Tests that an empty degree sequence yields the null graph."""
G = nx.configuration_model([])
assert_equal(len(G), 0)
def test_degree_zero(self):
"""Tests that a degree sequence of all zeros yields the empty
graph.
"""
G = nx.configuration_model([0, 0, 0])
assert_equal(len(G), 3)
assert_equal(G.number_of_edges(), 0)
def test_degree_sequence(self):
"""Tests that the degree sequence of the generated graph matches
the input degree sequence.
"""
deg_seq = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
G = nx.configuration_model(deg_seq, seed=12345678)
assert_equal(sorted((d for n, d in G.degree()), reverse=True),
[5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1])
assert_equal(sorted((d for n, d in G.degree(range(len(deg_seq)))),
reverse=True),
[5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1])
def test_random_seed(self):
"""Tests that each call with the same random seed generates the
same graph.
"""
deg_seq = [3] * 12
G1 = nx.configuration_model(deg_seq, seed=1000)
G2 = nx.configuration_model(deg_seq, seed=1000)
assert_true(nx.is_isomorphic(G1, G2))
G1 = nx.configuration_model(deg_seq, seed=10)
G2 = nx.configuration_model(deg_seq, seed=10)
assert_true(nx.is_isomorphic(G1, G2))
@raises(nx.NetworkXNotImplemented)
def test_directed_disallowed(self):
"""Tests that attempting to create a configuration model graph
using a directed graph yields an exception.
"""
nx.configuration_model([], create_using=nx.DiGraph())
@raises(nx.NetworkXError)
def test_odd_degree_sum(self):
"""Tests that a degree sequence whose sum is odd yields an
exception.
"""
nx.configuration_model([1, 2])
@raises(nx.NetworkXError)
def test_directed_configuation_raise_unequal():
zin = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1]
zout = [5, 3, 3, 3, 3, 2, 2, 2, 1, 2]
nx.directed_configuration_model(zin, zout)
def test_directed_configuation_mode():
G = nx.directed_configuration_model([], [], seed=0)
assert_equal(len(G), 0)
def test_expected_degree_graph_empty():
# empty graph has empty degree sequence
deg_seq = []
G = nx.expected_degree_graph(deg_seq)
assert_equal(dict(G.degree()), {})
def test_expected_degree_graph():
# test that fixed seed delivers the same graph
deg_seq = [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
G1 = nx.expected_degree_graph(deg_seq, seed=1000)
assert_equal(len(G1), 12)
G2 = nx.expected_degree_graph(deg_seq, seed=1000)
assert_true(nx.is_isomorphic(G1, G2))
G1 = nx.expected_degree_graph(deg_seq, seed=10)
G2 = nx.expected_degree_graph(deg_seq, seed=10)
assert_true(nx.is_isomorphic(G1, G2))
def test_expected_degree_graph_selfloops():
deg_seq = [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
G1 = nx.expected_degree_graph(deg_seq, seed=1000, selfloops=False)
G2 = nx.expected_degree_graph(deg_seq, seed=1000, selfloops=False)
assert_true(nx.is_isomorphic(G1, G2))
assert_equal(len(G1), 12)
def test_expected_degree_graph_skew():
deg_seq = [10, 2, 2, 2, 2]
G1 = nx.expected_degree_graph(deg_seq, seed=1000)
G2 = nx.expected_degree_graph(deg_seq, seed=1000)
assert_true(nx.is_isomorphic(G1, G2))
assert_equal(len(G1), 5)
def test_havel_hakimi_construction():
G = nx.havel_hakimi_graph([])
assert_equal(len(G), 0)
z = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
assert_raises(nx.NetworkXError, nx.havel_hakimi_graph, z)
z = ["A", 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
assert_raises(nx.NetworkXError, nx.havel_hakimi_graph, z)
z = [5, 4, 3, 3, 3, 2, 2, 2]
G = nx.havel_hakimi_graph(z)
G = nx.configuration_model(z)
z = [6, 5, 4, 4, 2, 1, 1, 1]
assert_raises(nx.NetworkXError, nx.havel_hakimi_graph, z)
z = [10, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2]
G = nx.havel_hakimi_graph(z)
assert_raises(nx.NetworkXError, nx.havel_hakimi_graph, z,
create_using=nx.DiGraph())
def test_directed_havel_hakimi():
# Test range of valid directed degree sequences
n, r = 100, 10
p = 1.0 / r
for i in range(r):
G1 = nx.erdos_renyi_graph(n, p * (i + 1), None, True)
din1 = list(d for n, d in G1.in_degree())
dout1 = list(d for n, d in G1.out_degree())
G2 = nx.directed_havel_hakimi_graph(din1, dout1)
din2 = list(d for n, d in G2.in_degree())
dout2 = list(d for n, d in G2.out_degree())
assert_equal(sorted(din1), sorted(din2))
assert_equal(sorted(dout1), sorted(dout2))
# Test non-graphical sequence
dout = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
din = [103, 102, 102, 102, 102, 102, 102, 102, 102, 102]
assert_raises(nx.exception.NetworkXError,
nx.directed_havel_hakimi_graph, din, dout)
# Test valid sequences
dout = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
din = [2, 2, 2, 2, 2, 2, 2, 2, 0, 2]
G2 = nx.directed_havel_hakimi_graph(din, dout)
dout2 = (d for n, d in G2.out_degree())
din2 = (d for n, d in G2.in_degree())
assert_equal(sorted(dout), sorted(dout2))
assert_equal(sorted(din), sorted(din2))
# Test unequal sums
din = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
assert_raises(nx.exception.NetworkXError,
nx.directed_havel_hakimi_graph, din, dout)
# Test for negative values
din = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2]
assert_raises(nx.exception.NetworkXError,
nx.directed_havel_hakimi_graph, din, dout)
def test_degree_sequence_tree():
z = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
G = nx.degree_sequence_tree(z)
assert_equal(len(G), len(z))
assert_true(len(list(G.edges())) == sum(z) / 2)
assert_raises(nx.NetworkXError, nx.degree_sequence_tree, z,
create_using=nx.DiGraph())
z = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
assert_raises(nx.NetworkXError, nx.degree_sequence_tree, z)
def test_random_degree_sequence_graph():
d = [1, 2, 2, 3]
G = nx.random_degree_sequence_graph(d)
assert_equal(d, sorted(d for n, d in G.degree()))
def test_random_degree_sequence_graph_raise():
z = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
assert_raises(nx.NetworkXUnfeasible, nx.random_degree_sequence_graph, z)
def test_random_degree_sequence_large():
G1 = nx.fast_gnp_random_graph(100, 0.1)
d1 = (d for n, d in G1.degree())
G2 = nx.random_degree_sequence_graph(d1, seed=0)
d2 = (d for n, d in G2.degree())
assert_equal(sorted(d1), sorted(d2))