import pytest

from networkx import is_isomorphic
from networkx.exception import NetworkXError
from networkx.testing import assert_nodes_equal
from networkx.generators.spectral_graph_forge import spectral_graph_forge
from networkx.generators import karate_club_graph


def test_spectral_graph_forge():
    numpy = pytest.importorskip('numpy')
    scipy = pytest.importorskip('scipy')

    G = karate_club_graph()

    seed = 54321

    # common cases, just checking node number preserving and difference
    # between identity and modularity cases
    H = spectral_graph_forge(G, 0.1, transformation='identity', seed=seed)
    assert_nodes_equal(G, H)

    I = spectral_graph_forge(G, 0.1, transformation='identity', seed=seed)
    assert_nodes_equal(G, H)
    assert is_isomorphic(I, H)

    I = spectral_graph_forge(G, 0.1, transformation='modularity', seed=seed)
    assert_nodes_equal(G, I)

    assert not is_isomorphic(I, H)

    # with all the eigenvectors, output graph is identical to the input one
    H = spectral_graph_forge(G, 1, transformation='modularity', seed=seed)
    assert_nodes_equal(G, H)
    assert is_isomorphic(G, H)

    # invalid alpha input value, it is silently truncated in [0,1]
    H = spectral_graph_forge(G, -1, transformation='identity', seed=seed)
    assert_nodes_equal(G, H)

    H = spectral_graph_forge(G, 10, transformation='identity', seed=seed)
    assert_nodes_equal(G, H)
    assert is_isomorphic(G, H)

    # invalid transformation mode, checking the error raising
    pytest.raises(NetworkXError,
                  spectral_graph_forge, G, 0.1, transformation='unknown',
                  seed=seed)