def __init__(self, n):
assert isinstance(n, int) and n > 1
self.n = n
self.dimension = int((n * (n - 1)) / 2)
LieGroup.__init__(self,
dimension=self.dimension,
identity=gs.zeros(self.dimension))
EmbeddedManifold.__init__(self,
dimension=self.dimension,
embedding_manifold=GeneralLinearGroup(n=n))
self.bi_invariant_metric = self.left_canonical_metric
self.point_representation = 'vector' if n == 3 else 'matrix'
def __init__(self, n, point_type=None):
assert isinstance(n, int) and n > 1
self.n = n
self.dimension = int((n * (n - 1)) / 2)
self.default_point_type = point_type
if point_type is None:
self.default_point_type = 'vector' if n == 3 else 'matrix'
LieGroup.__init__(self, dimension=self.dimension)
EmbeddedManifold.__init__(self,
dimension=self.dimension,
embedding_manifold=GeneralLinearGroup(n=n))
self.bi_invariant_metric = self.left_canonical_metric
class TestLieGroupMethods(geomstats.tests.TestCase):
_multiprocess_can_split_ = True
dimension = 4
group = LieGroup(dimension=dimension)
def test_dimension(self):
result = self.group.dimension
expected = self.dimension
self.assertAllClose(result, expected)
class TestLieGroupMethods(unittest.TestCase):
_multiprocess_can_split_ = True
dimension = 4
group = LieGroup(dimension=dimension, identity=gs.zeros(4))
class TestLieGroupMethods(unittest.TestCase):
_multiprocess_can_split_ = True
dimension = 4
group = LieGroup(dimension=dimension)
def __init__(self, n):
assert isinstance(n, int) and n > 0
LieGroup.__init__(self, dimension=n * n)
MatricesSpace.__init__(self, m=n, n=n)