from hypothesis import given

from rene import Orientation
from tests.utils import (equivalence,
                         implication)
from . import strategies


@given(strategies.orientations)
def test_reflexivity(orientation: Orientation) -> None:
    assert orientation == orientation


@given(strategies.orientations, strategies.orientations)
def test_symmetry(first: Orientation, second: Orientation) -> None:
    assert equivalence(first == second, second == first)


@given(strategies.orientations, strategies.orientations,
       strategies.orientations)
def test_transitivity(first: Orientation,
                      second: Orientation,
                      third: Orientation) -> None:
    assert implication(first == second and second == third, first == third)


@given(strategies.orientations, strategies.orientations)
def test_alternatives(first: Orientation, second: Orientation) -> None:
    assert equivalence(first == second, not first != second)