class TestWeightedInterpolatorND(unittest.TestCase):
def setUp(self):
self.surrogate = NNeighborSurrogate(interpolant_type='weighted')
self.x = np.array([[0., 0.], [2., 0.], [2., 2.], [0., 2.], [1., 1.]])
self.y = np.array([[1., 0., .5, 1.], [1., 0., .5,
1.], [1., 0., .5, 1.],
[1., 0., .5, 1.], [0., 1., .5, 0.]])
self.surrogate.fit(self.x, self.y)
def test_training(self):
for x0, y0 in zip(self.x, self.y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-9)
def test_prediction(self):
test_x = np.array([[1., 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 1.],
[0., 1.], [.5, .5]])
a = ((16. / (5 * np.sqrt(5.)) + 16. / (13. * np.sqrt(13.))) /
(16. / (5 * np.sqrt(5.)) + 16. / (13. * np.sqrt(13.)) + 8.))
b = 8. / (8. + 16. / (5 * np.sqrt(5.)) + 16. / (13. * np.sqrt(13.)))
c = (2. + 2. / (5. * np.sqrt(5))) / (3. + 2. / (5. * np.sqrt(5)))
d = 1. / (3. + 2. / (5. * np.sqrt(5)))
expected_y = np.array([[a, b, 0.5, a], [a, b, 0.5, a], [a, b, 0.5, a],
[a, b, 0.5, a], [c, d, 0.5, c],
[0.54872067, 0.45127933, 0.5, 0.54872067]])
for x0, y0 in zip(test_x, expected_y):
mu = self.surrogate.predict(x0, n=5, dist_eff=3)
assert_rel_error(self, mu, y0, 1e-6)
def test_bulk_prediction(self):
test_x = np.array([[1., 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 1.],
[0., 1.], [.5, .5]])
a = ((16. / (5 * np.sqrt(5.)) + 16. / (13. * np.sqrt(13.))) /
(16. / (5 * np.sqrt(5.)) + 16. / (13. * np.sqrt(13.)) + 8.))
b = 8. / (8. + 16. / (5 * np.sqrt(5.)) + 16. / (13. * np.sqrt(13.)))
c = (2. + 2. / (5. * np.sqrt(5))) / (3. + 2. / (5. * np.sqrt(5)))
d = 1. / (3. + 2. / (5. * np.sqrt(5)))
expected_y = np.array([[a, b, 0.5, a], [a, b, 0.5, a], [a, b, 0.5, a],
[a, b, 0.5, a], [c, d, 0.5, c],
[0.54872067, 0.45127933, 0.5, 0.54872067]])
mu = self.surrogate.predict(test_x, n=5, dist_eff=3)
assert_rel_error(self, mu, expected_y, 1e-6)
def test_jacobian(self):
test_x = np.array([[1., 0.5], [0.5, 1.], [1., 1.5], [1.5, 1.]])
a = 0.99511746
expected_deriv = np.array([[[0., -a], [0., a], [0., 0.], [0., -a]],
[[-a, 0], [a, 0.], [0., 0.], [-a, 0]],
[[0., a], [0., -a], [0., 0.], [0., a]],
[[a, 0.], [-a, 0.], [0., 0.], [a, 0.]]])
for x0, y0 in zip(test_x, expected_deriv):
mu = self.surrogate.linearize(x0)
assert_rel_error(self, mu, y0, 1e-6)
class TestRBFInterpolator1D(unittest.TestCase):
def setUp(self):
self.surrogate = NNeighborSurrogate(interpolant_type='rbf', n=4)
self.x = np.array([[0.], [1.], [2.], [3.]])
self.y = np.array([[0.], [2.], [2.], [0.]])
self.surrogate.fit(self.x, self.y)
def test_training(self):
for x0, y0 in zip(self.x, self.y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-9)
def test_prediction(self):
test_x = np.array([[0.5], [1.5], [2.5]])
expected_y = np.array([[0.82893803], [1.72485853], [0.82893803]])
for x0, y0 in zip(test_x, expected_y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-8)
def test_bulk_prediction(self):
test_x = np.array([[0.5], [1.5], [2.5]])
expected_y = np.array([[0.82893803], [1.72485853], [0.82893803]])
mu = self.surrogate.predict(test_x)
assert_rel_error(self, mu, expected_y, 1e-8)
def test_jacobian(self):
test_x = np.array([[0.5], [2.5]])
expected_deriv = np.array([[2.34609214], [-2.34609214]])
for x0, y0 in zip(test_x, expected_deriv):
jac = self.surrogate.linearize(x0)
assert_rel_error(self, jac, y0, 1e-6)
def test_pt_cache(self):
test_x = np.array([[0.5]])
self.surrogate.predict(test_x)
# Mess with internals to ensure cache is being used.
self.surrogate.interpolant._KData = None
mu = self.surrogate.linearize(test_x)
assert_rel_error(self, mu, np.array([[2.34609214]]), 1e-6)
class TestLinearInterpolatorND(unittest.TestCase):
def setUp(self):
self.surrogate = NNeighborSurrogate(interpolant_type='linear')
self.x = np.array([[0., 0.], [2., 0.], [2., 2.], [0., 2.], [1., 1.]])
self.y = np.array([[1., 0., .5, 1.], [1., 0., .5,
1.], [1., 0., .5, 1.],
[1., 0., .5, 1.], [0., 1., .5, 0.]])
self.surrogate.fit(self.x, self.y)
def test_training(self):
for x0, y0 in zip(self.x, self.y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-9)
def test_prediction(self):
test_x = np.array([[1., 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 1.],
[0., 1.], [.5, .5]])
expected_y = np.array([[0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, 0.5],
[0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, 0.5],
[1., 0., 0.5, 1.], [0.5, 0.5, 0.5, 0.5]])
for x0, y0 in zip(test_x, expected_y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-9)
def test_bulk_prediction(self):
test_x = np.array([[1., 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 1.],
[0., 1.], [.5, .5]])
expected_y = np.array([[0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, 0.5],
[0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, 0.5],
[1., 0., 0.5, 1.], [0.5, 0.5, 0.5, 0.5]])
mu = self.surrogate.predict(test_x)
assert_rel_error(self, mu, expected_y, 1e-9)
def test_jacobian(self):
test_x = np.array([[1., 0.5], [0.5, 1.], [1., 1.5], [1.5, 1.]])
expected_deriv = np.array([[[0., -1.], [0., 1.], [0., 0.], [0., -1.]],
[[-1., 0.], [1., 0.], [0., 0.], [-1., 0.]],
[[0., 1.], [0., -1.], [0., 0.], [0., 1.]],
[[1., 0.], [-1., 0.], [0., 0.], [1., 0.]]])
for x0, y0 in zip(test_x, expected_deriv):
mu = self.surrogate.linearize(x0)
assert_rel_error(self, mu, y0, 1e-9)
class TestWeightedInterpolator1D(unittest.TestCase):
def setUp(self):
self.surrogate = NNeighborSurrogate(interpolant_type='weighted')
self.x = np.array([[0.], [1.], [2.], [3.]])
self.y = np.array([[0.], [1.], [1.], [0.]])
self.surrogate.fit(self.x, self.y)
def test_insufficient_points(self):
with self.assertRaises(ValueError) as cm:
self.surrogate.predict(self.x[0], n=100)
expected_msg = ('WeightedInterpolant does not have sufficient '
'training data to use n=100, only 4 points available.')
self.assertEqual(str(cm.exception), expected_msg)
def test_training(self):
for x0, y0 in zip(self.x, self.y):
mu = self.surrogate.predict(x0, n=3)
assert_rel_error(self, mu, y0, 1e-9)
def test_prediction(self):
test_x = np.array([[0.5], [1.5], [2.5]])
expected_y = np.array([[0.52631579], [0.94736842], [0.52631579]])
for x0, y0 in zip(test_x, expected_y):
mu = self.surrogate.predict(x0, n=3)
assert_rel_error(self, mu, y0, 1e-8)
def test_bulk_prediction(self):
test_x = np.array([[0.5], [1.5], [2.5]])
expected_y = np.array([[0.52631579], [0.94736842], [0.52631579]])
mu = self.surrogate.predict(test_x, n=3)
assert_rel_error(self, mu, expected_y, 1e-8)
def test_jacobian(self):
test_x = np.array([[0.5], [1.5], [2.5]])
expected_deriv = np.array([[1.92797784], [0.06648199], [-1.92797784]])
for x0, y0 in zip(test_x, expected_deriv):
jac = self.surrogate.linearize(x0, n=3)
assert_rel_error(self, jac, y0, 1e-6)
def test_pt_cache(self):
test_x = np.array([[0.5]])
self.surrogate.predict(test_x, n=3)
# Mess with internals to ensure cache is being used.
self.surrogate.interpolant._KData = None
mu = self.surrogate.linearize(test_x, n=3)
assert_rel_error(self, mu, np.array([[1.92797784]]), 1e-6)
class TestRBFInterpolatorND(unittest.TestCase):
def setUp(self):
self.surrogate = NNeighborSurrogate(interpolant_type='rbf', n=5)
self.x = np.array([[0., 0.], [2., 0.], [2., 2.], [0., 2.], [1., 1.]])
self.y = np.array([[1., 0., .5, 1.], [1., 0., .5,
1.], [1., 0., .5, 1.],
[1., 0., .5, 1.], [0., 1., .5, 0.]])
self.surrogate.fit(self.x, self.y)
def test_training(self):
for x0, y0 in zip(self.x, self.y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-9)
def test_prediction(self):
test_x = np.array([[1., 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 1.],
[0., 1.], [.5, .5]])
a = 0.05453616
b = 0.5013363
c = 0.33860606
d = 0.13507662
expected_y = np.array([[a, b, 0.5, a], [a, b, 0.5, a], [a, b, 0.5, a],
[a, b, 0.5, a], [c, d, 0.5, c],
[0.37840446, 0.336283, 0.5, 0.37840446]])
for x0, y0 in zip(test_x, expected_y):
mu = self.surrogate.predict(x0)
assert_rel_error(self, mu, y0, 1e-6)
def test_bulk_prediction(self):
test_x = np.array([[1., 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 1.],
[0., 1.], [.5, .5]])
a = 0.05453616
b = 0.5013363
c = 0.33860606
d = 0.13507662
expected_y = np.array([[a, b, 0.5, a], [a, b, 0.5, a], [a, b, 0.5, a],
[a, b, 0.5, a], [c, d, 0.5, c],
[0.37840446, 0.336283, 0.5, 0.37840446]])
mu = self.surrogate.predict(test_x)
assert_rel_error(self, mu, expected_y, 1e-6)
def test_jacobian(self):
test_x = np.array([[0.5, 0.5], [0.5, 1.5], [1.5, 1.5], [1.5, 0.5]])
a = -0.97153433
b = -0.97153433
c = 0.59055939
d = 0.59055939
expected_deriv = np.array([[[a, b], [c, d], [0., 0.], [a, b]],
[[a, -b], [c, -d], [0., 0.], [a, -b]],
[[-a, -b], [-c, -d], [0., 0.], [-a, -b]],
[[-a, b], [-c, d], [0., 0.], [-a, b]]])
for x0, y0 in zip(test_x, expected_deriv):
mu = self.surrogate.linearize(x0)
assert_rel_error(self, mu, y0, 1e-6)