def test_rotate_zonal_harmonics_random(self):
"""Tests the outputs of test_rotate_zonal_harmonics."""
dtype = tf.float64
max_band = 2
zonal_coeffs = tf.constant(np.random.uniform(-1.0, 1.0, size=[3]),
dtype=dtype)
tensor_size = np.random.randint(3)
tensor_shape = np.random.randint(1, 10, size=(tensor_size)).tolist()
theta = tf.constant(np.random.uniform(0.0,
np.pi,
size=tensor_shape + [1]),
dtype=dtype)
phi = tf.constant(np.random.uniform(0.0,
2.0 * np.pi,
size=tensor_shape + [1]),
dtype=dtype)
rotated_zonal_coeffs = spherical_harmonics.rotate_zonal_harmonics(
zonal_coeffs, theta, phi)
zonal_coeffs = spherical_harmonics.tile_zonal_coefficients(
zonal_coeffs)
l, m = spherical_harmonics.generate_l_m_permutations(max_band)
l = tf.broadcast_to(l, tensor_shape + l.shape.as_list())
m = tf.broadcast_to(m, tensor_shape + m.shape.as_list())
theta_zero = tf.constant(0.0, shape=tensor_shape + [1], dtype=dtype)
phi_zero = tf.constant(0.0, shape=tensor_shape + [1], dtype=dtype)
gt = zonal_coeffs * spherical_harmonics.evaluate_spherical_harmonics(
l, m, theta_zero, phi_zero)
gt = tf.reduce_sum(input_tensor=gt, axis=-1)
pred = rotated_zonal_coeffs * spherical_harmonics.evaluate_spherical_harmonics(
l, m, theta + theta_zero, phi + phi_zero)
pred = tf.reduce_sum(input_tensor=pred, axis=-1)
self.assertAllClose(gt, pred)
def test_rotate_zonal_harmonics_jacobian_random(self):
"""Tests the jacobian of rotate_zonal_harmonics."""
dtype = tf.float64
tensor_size = np.random.randint(3)
tensor_shape = np.random.randint(1, 5, size=(tensor_size)).tolist()
theta_init = np.random.uniform(0.0, np.pi, size=tensor_shape + [1])
phi_init = np.random.uniform(0.0, 2.0 * np.pi, size=tensor_shape + [1])
zonal_coeffs = tf.convert_to_tensor(value=np.random.uniform(-1.0,
1.0,
size=[3]),
dtype=dtype)
theta = tf.convert_to_tensor(value=theta_init)
phi = tf.convert_to_tensor(value=phi_init)
y = spherical_harmonics.rotate_zonal_harmonics(zonal_coeffs, theta,
phi)
self.assert_jacobian_is_correct(theta, theta_init, y)
self.assert_jacobian_is_correct(phi, phi_init, y)
def test_rotate_zonal_harmonics_jacobian_random(self):
"""Tests the jacobian of rotate_zonal_harmonics."""
dtype = tf.float64
tensor_size = np.random.randint(3)
tensor_shape = np.random.randint(1, 5, size=(tensor_size)).tolist()
theta_init = np.random.uniform(0.0, np.pi, size=tensor_shape + [1])
phi_init = np.random.uniform(0.0, 2.0 * np.pi, size=tensor_shape + [1])
zonal_coeffs = tf.convert_to_tensor(value=np.random.uniform(-1.0,
1.0,
size=[3]),
dtype=dtype)
# Wrap these in identities because some assert_* ops look at the constant
# tensor value and mark it as unfeedable.
theta = tf.identity(tf.convert_to_tensor(value=theta_init))
phi = tf.identity(tf.convert_to_tensor(value=phi_init))
y = spherical_harmonics.rotate_zonal_harmonics(zonal_coeffs, theta,
phi)
self.assert_jacobian_is_correct(theta, theta_init, y)
self.assert_jacobian_is_correct(phi, phi_init, y)
def rotate_zonal_harmonics_fn(theta, phi):
return spherical_harmonics.rotate_zonal_harmonics(
zonal_coeffs, theta, phi)