def test_cross_jacobi_identity(self):
for v1, v2 in itertools.product(utils.ALL_VECTORS, utils.ALL_VECTORS):
for v3 in utils.ALL_VECTORS:
vec1 = vector_ops.cross(v1, vector_ops.cross(v2, v3))
vec2 = vector_ops.cross(v2, vector_ops.cross(v3, v1))
vec3 = vector_ops.cross(v3, vector_ops.cross(v1, v2))
utils.assert_vectors_almost_equal(vec1 + vec2 + vec3,
Vector.make_zero(3))
def make_zero(cls, num_rows: int, num_columns: int):
return cls(Vector.make_zero(num_columns) for _ in range(num_rows))
def test_cross_parallel(self):
v1 = Vector([1, 0, 0])
v2 = Vector([2, 0, 0])
utils.assert_vectors_almost_equal(vector_ops.cross(v1, v2),
Vector.make_zero(3))
def test_cross_self(self):
for v1, v2 in itertools.product(utils.ALL_VECTORS, utils.ALL_VECTORS):
if v1 == v2:
vec = vector_ops.cross(v1, v2)
utils.assert_vectors_almost_equal(vec, Vector.make_zero(3))
def test_make_zero(self):
dim = 3
vec = Vector.make_zero(dim)
self.assertEqual(vec.norm, 0, PRECISION)
self.assertEqual(vec.dim, dim)