def test_exp_and_log_from_identity_left_diag_metrics(self):
"""
Test that the riemannian exponential and the
riemannian logarithm are inverse.
Expect their composition to give the identity function.
"""
# - exp then log
# For left diagonal metric, point and point_small
result = helper.exp_then_log_from_identity(
metric=self.left_diag_metric,
tangent_vec=self.point_1)
expected = self.point_1
self.assertAllClose(result, expected)
result = helper.exp_then_log_from_identity(
metric=self.left_diag_metric,
tangent_vec=self.point_small)
expected = self.point_small
self.assertAllClose(result, expected)
# - log then exp
# For left diagonal metric, point and point_small
result = helper.log_then_exp_from_identity(
metric=self.left_diag_metric,
point=self.point_1)
expected = self.point_1
self.assertAllClose(result, expected)
result = helper.log_then_exp_from_identity(
metric=self.left_diag_metric,
point=self.point_small)
expected = self.point_small
self.assertAllClose(result, expected)
def test_exp_and_log_from_identity_right_metrics(self):
"""
Test that the riemannian exponential and the
riemannian logarithm are inverse.
Expect their composition to give the identity function.
"""
# For right metric, point and point_small
result = helper.exp_then_log_from_identity(self.right_metric,
self.point_1)
expected = self.point_1
# self.assertAllClose(result, expected)
result = helper.exp_then_log_from_identity(self.right_metric,
self.point_small)
expected = self.point_small
# self.assertAllClose(result, expected)
# - log then exp
# For right metric, point and point_small
result = helper.log_then_exp_from_identity(self.right_metric,
self.point_1)
expected = self.point_1
# self.assertAllClose(result, expected)
result = helper.log_then_exp_from_identity(self.right_metric,
self.point_small)
expected = self.point_small
def test_exp_and_log_from_identity_left_metrics(self):
"""
Test that the riemannian exponential and the
riemannian logarithm are inverse.
Expect their composition to give the identity function.
"""
# - exp then log
# For left metric, point and point_small
result = helper.exp_then_log_from_identity(metric=self.left_metric,
tangent_vec=self.point_1)
expected = self.point_1
expected = helper.to_vector(expected)
with self.test_session():
self.assertAllClose(gs.eval(result), gs.eval(expected))
result = helper.exp_then_log_from_identity(
metric=self.left_metric, tangent_vec=self.point_small)
expected = self.point_small
expected = helper.to_vector(expected)
with self.test_session():
self.assertAllClose(gs.eval(result), gs.eval(expected))
# - log then exp
# For left metric, point and point_small
result = helper.log_then_exp_from_identity(metric=self.left_metric,
point=self.point_1)
expected = self.point_1
expected = helper.to_vector(expected)
with self.test_session():
self.assertAllClose(gs.eval(result), gs.eval(expected))
result = helper.log_then_exp_from_identity(metric=self.left_metric,
point=self.point_small)
expected = self.point_small
expected = helper.to_vector(expected)
with self.test_session():
self.assertAllClose(gs.eval(result), gs.eval(expected))
