def test_group_exp_then_log(self):
"""
This tests that the composition of
log and exp gives identity.
"""
base_point = gs.array([0.12])
tangent_vec = gs.array([0.35])
result = helper.group_exp_then_log(group=self.group,
tangent_vec=tangent_vec,
base_point=base_point)
expected = self.group.regularize_tangent_vec(tangent_vec=tangent_vec,
base_point=base_point)
self.assertAllClose(result, expected)
def test_group_exp_then_log(self):
"""
Test that the group exponential
and the group logarithm are inverse.
Expect their composition to give the identity function.
"""
for base_point_type in self.elements:
base_point = self.elements[base_point_type]
for element_type in self.elements:
tangent_vec = self.elements[element_type]
result = helper.group_exp_then_log(group=self.group,
tangent_vec=tangent_vec,
base_point=base_point)
expected = self.group.regularize_tangent_vec(
tangent_vec=tangent_vec, base_point=base_point)
self.assertAllClose(result, expected, rtol=1e-4)
if geomstats.tests.tf_backend():
break