def __init__(self, epsilon=0.):
LieGroup.__init__(
self, dim=3, default_point_type='vector')
self.n = 3
self.epsilon = epsilon
self.bi_invariant_metric = BiInvariantMetric(group=self)
def __init__(self, n, epsilon=0.0):
dim = n * (n + 1) // 2
LieGroup.__init__(self, dim=dim, default_point_type="vector")
self.n = n
self.epsilon = epsilon
self.rotations = SpecialOrthogonal(n=n,
point_type="vector",
epsilon=epsilon)
self.translations = Euclidean(dim=n)
class TestLieGroupMethods(geomstats.tests.TestCase):
dimension = 4
group = LieGroup(dim=dimension)
def test_dimension(self):
result = self.group.dim
expected = self.dimension
self.assertAllClose(result, expected)
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)
def log(self, point, base_point=None):
return LieGroup.log(self, point, base_point)
def exp(self, tangent_vec, base_point=None):
return LieGroup.exp(self, tangent_vec, base_point)
def __init__(self, n):
assert isinstance(n, int) and n > 0
LieGroup.__init__(self, dimension=n * n)
MatricesSpace.__init__(self, m=n, n=n)