def test_polar(self):
r, t = Vec2(1, 1).polar()
assert simeq(r, sqrt(2))
assert simeq(t, 45)
r, t = Vec2(1, 1).polar_rad()
assert simeq(r, sqrt(2))
assert simeq(t, pi / 4)
def test_tuple_promotion_on_arithmetic_operations(self):
u = Vec2(1, 2)
v = (0.0, 0.0)
assert u + v == u
assert u - v == u
assert isinstance(u + v, Vec2)
assert isinstance(u - v, Vec2)
def test_clamp(sef):
u = Vec2(3, 4)
assert u.clamp(1, 10) == u
assert u.clamp(2, 4) == u.normalize() * 4
assert u.with_length(10) == 2 * u
def test_reverse_vec_equality_with_tuples(self):
assert (1, 2) == Vec2(1, 2)
assert (1.0, 2.0) == Vec2(1, 2)
def test_vec_equality_with_tuples(self):
assert Vec2(1, 2) == (1, 2)
assert Vec2(1, 2) == (1.0, 2.0)
def test_vec_equality(self):
assert Vec2(1, 2) == Vec2(1, 2)
assert Vec2(1, 2) == Vec2(1.0, 2.0)
def test_correct_type_promotion_on_vec_creation(self):
assert isinstance(Vec2(1.0, 2.0), Vec2)
assert isinstance(Vec2(1, 2.0), Vec2)
assert isinstance(Vec2(1.0, 2), Vec2)
def test_triangular_identity_2D(self):
self.assert_triangular_identity(Vec2(1, 2), Vec2(3, 4))
self.assert_triangular_identity(Vec2(1, 1), Vec2(1, 1))
self.assert_triangular_identity(Vec2(1, 2), Vec2(0, 0))
def test_perp(self):
assert Vec2(1, 0).perpendicular() == Vec2(0, 1)
assert Vec2(1, 0).perpendicular(ccw=False) == Vec2(0, -1)
def test_cross(self):
assert Vec2(1, 0).cross(Vec2(0, 1)) == 1
def test_rotations(self):
v = Vec2(1, 0)
assert v.rotate(90) == Vec2(0, 1)
assert v.rotate_around(90, Vec2(1, 0)) == v
assert simeq(v.rotate_rad(pi / 2), Vec2(0, 1))
assert simeq(v.rotate_around_rad(pi / 2, Vec2(1, 0)), v)
def test_polar_coordinates(self):
assert Vec2.from_polar(1, 0) == Vec2(1, 0)
def test_vector_repr(self):
assert repr(Vec2(1, 2)) == 'Vec2(1, 2)'
assert repr(Vec2(0.5, 0.5)) == 'Vec2(0.5, 0.5)'