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""" | ||
This is the unittest of the PGS class. | ||
""" | ||
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import unittest | ||
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import numpy as np | ||
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import gstools as gs | ||
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class TestPGS(unittest.TestCase): | ||
def test_struct_1d(self): | ||
n = 100 | ||
x = np.arange(n) | ||
model = gs.Gaussian(dim=1, var=2, len_scale=15) | ||
srf = gs.SRF(model, seed=436239) | ||
field = srf.structured((x,)) | ||
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m = 10 | ||
L = np.zeros(n) | ||
L[n // 3 - m // 2 : n // 3 + m // 2] = 1 | ||
L[n // 3 - 2 * m : n // 3 - m // 2] = 2 | ||
L[4 * n // 5 - m // 2 : 4 * n // 5 + m // 2] = 3 | ||
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pgs = gs.PGS(1, field, L) | ||
self.assertAlmostEqual(pgs.P[n // 2], 1.0) | ||
self.assertAlmostEqual(pgs.P[0], 1.0) | ||
self.assertAlmostEqual(pgs.P[-1], 2.0) | ||
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def test_struct_2d(self): | ||
n1 = 100 | ||
n2 = 100 | ||
pos = [np.arange(n1), np.arange(n2)] | ||
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model1 = gs.Gaussian(dim=2, var=1, len_scale=10) | ||
srf1 = gs.SRF(model1, seed=20170519) | ||
field1 = srf1.structured(pos) | ||
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model2 = gs.Gaussian(dim=2, var=5, len_scale=20) | ||
srf2 = gs.SRF(model2, seed=20160519) | ||
field2 = srf2.structured(pos) | ||
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# create rectangle in middle of L | ||
m1 = 16 | ||
m2 = 16 | ||
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L = np.zeros((n1, n2)) | ||
L[ | ||
n1 // 2 - m1 // 2 : n1 // 2 + m1 // 2, | ||
n2 // 2 - m2 // 2 : n2 // 2 + m2 // 2, | ||
] = 1 | ||
L[ | ||
n1 // 2 - m1 // 2 + m1 : n1 // 2 + m1 // 2 + m1, | ||
n2 // 2 - m2 // 2 : n2 // 2 + m2 // 2, | ||
] = 2 | ||
L[ | ||
n1 // 2 - m1 // 2 + m1 : n1 // 2 + m1 // 2 + m1, | ||
n2 // 2 - m2 // 2 + m2 : n2 // 2 + m2 // 2 + m2, | ||
] = 3 | ||
L[ | ||
n1 // 3 - m1 // 2 : n1 // 3 + m1 // 2, | ||
n2 // 3 - m2 // 2 : n2 // 3 + m2 // 2, | ||
] = 4 | ||
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pgs = gs.PGS(2, [field1, field2], L) | ||
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self.assertAlmostEqual(pgs.P[n1 // 2, n2 // 2], 0.0) | ||
self.assertAlmostEqual(pgs.P[0, 0], 0.0) | ||
self.assertAlmostEqual(pgs.P[-1, -1], 1.0) | ||
self.assertAlmostEqual(pgs.P[0, -1], 0.0) | ||
self.assertAlmostEqual(pgs.P[-1, 0], 4.0) | ||
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def test_struct_3d(self): | ||
n1 = 30 | ||
n2 = 30 | ||
n3 = 30 | ||
pos = [np.arange(n1), np.arange(n2), np.arange(n3)] | ||
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model1 = gs.Gaussian(dim=3, var=1, len_scale=10) | ||
srf1 = gs.SRF(model1, seed=20170519) | ||
field1 = srf1.structured(pos) | ||
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model2 = gs.Gaussian(dim=3, var=5, len_scale=20) | ||
srf2 = gs.SRF(model2, seed=20160519) | ||
field2 = srf2.structured(pos) | ||
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model3 = gs.Gaussian(dim=3, var=0.1, len_scale=5) | ||
srf3 = gs.SRF(model3, seed=20191219) | ||
field3 = srf3.structured(pos) | ||
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# create rectangle in middle of L | ||
m1 = 10 | ||
m2 = 10 | ||
m3 = 10 | ||
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L = np.zeros((n1, n2, n3)) | ||
L[ | ||
n1 // 2 - m1 // 2 : n1 // 2 + m1 // 2, | ||
n2 // 2 - m2 // 2 : n2 // 2 + m2 // 2, | ||
n3 // 2 - m3 // 2 : n3 // 2 + m3 // 2, | ||
] = 1 | ||
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pgs = gs.PGS(3, [field1, field2, field3], L) | ||
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self.assertAlmostEqual(pgs.P[n1 // 2, n2 // 2, n3 // 2], 0.0) | ||
self.assertAlmostEqual(pgs.P[n1 // 3, n2 // 3, n3 // 3], 1.0) | ||
self.assertAlmostEqual( | ||
pgs.P[2 * n1 // 3, 2 * n2 // 3, 2 * n3 // 3], 1.0 | ||
) | ||
self.assertAlmostEqual(pgs.P[0, 0, 0], 1.0) | ||
self.assertAlmostEqual(pgs.P[-1, -1, -1], 0.0) | ||
self.assertAlmostEqual(pgs.P[-1, 0, 0], 0.0) | ||
self.assertAlmostEqual(pgs.P[0, -1, 0], 1.0) | ||
self.assertAlmostEqual(pgs.P[0, 0, -1], 0.0) | ||
self.assertAlmostEqual(pgs.P[0, -1, -1], 1.0) | ||
self.assertAlmostEqual(pgs.P[-1, 0, -1], 0.0) | ||
self.assertAlmostEqual(pgs.P[-1, -1, 0], 0.0) | ||
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def test_struct_4d(self): | ||
n1 = 20 | ||
n2 = 20 | ||
n3 = 20 | ||
n4 = 20 | ||
pos = [np.arange(n1), np.arange(n2), np.arange(n4), np.arange(n4)] | ||
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model1 = gs.Gaussian(dim=4, var=1, len_scale=10) | ||
srf1 = gs.SRF(model1, seed=20170519) | ||
field1 = srf1.structured(pos) | ||
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model2 = gs.Gaussian(dim=4, var=5, len_scale=20) | ||
srf2 = gs.SRF(model2, seed=20160519) | ||
field2 = srf2.structured(pos) | ||
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model3 = gs.Gaussian(dim=4, var=0.1, len_scale=5) | ||
srf3 = gs.SRF(model3, seed=20191219) | ||
field3 = srf3.structured(pos) | ||
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model4 = gs.Exponential(dim=4, var=0.5, len_scale=12) | ||
srf3 = gs.SRF(model4, seed=20191219) | ||
field4 = srf3.structured(pos) | ||
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# create rectangle in middle of L | ||
m1 = 5 | ||
m2 = 5 | ||
m3 = 5 | ||
m4 = 5 | ||
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L = np.zeros((n1, n2, n3, n4)) | ||
L[ | ||
n1 // 2 - m1 // 2 : n1 // 2 + m1 // 2, | ||
n2 // 2 - m2 // 2 : n2 // 2 + m2 // 2, | ||
n3 // 2 - m3 // 2 : n3 // 2 + m3 // 2, | ||
n4 // 2 - m4 // 2 : n4 // 2 + m4 // 2, | ||
] = 1 | ||
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pgs = gs.PGS(4, [field1, field2, field3, field4], L) | ||
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self.assertAlmostEqual(pgs.P[n1 // 2, n2 // 2, n3 // 2, n4 // 2], 1.0) | ||
self.assertAlmostEqual(pgs.P[0, 0, 0, 0], 0.0) | ||
self.assertAlmostEqual(pgs.P[-1, -1, -1, -1], 0.0) | ||
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def test_unstruct_2d(self): | ||
n1 = 10 | ||
n2 = 8 | ||
rng = np.random.RandomState(seed=438430) | ||
x_unstruct = rng.randint(0, n1, size=n1 * n2) | ||
y_unstruct = rng.randint(0, n2, size=n1 * n2) | ||
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pos_unstruct = [x_unstruct, y_unstruct] | ||
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model1 = gs.Gaussian(dim=2, var=1, len_scale=10) | ||
srf1 = gs.SRF(model1, seed=20170519) | ||
field1_unstruct = srf1.unstructured(pos_unstruct) | ||
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model2 = gs.Gaussian(dim=2, var=5, len_scale=20) | ||
srf2 = gs.SRF(model2, seed=20160519) | ||
field2_unstruct = srf2.unstructured(pos_unstruct) | ||
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# create rectangle in middle of L | ||
m1 = 4 | ||
m2 = 4 | ||
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L_struct = np.zeros((n1, n2)) | ||
L_struct[ | ||
n1 // 2 - m1 // 2 : n1 // 2 + m1 // 2, | ||
n2 // 2 - m2 // 2 : n2 // 2 + m2 // 2, | ||
] = 1 | ||
L_struct[ | ||
n1 // 2 - m1 // 2 + m1 : n1 // 2 + m1 // 2 + m1, | ||
n2 // 2 - m2 // 2 : n2 // 2 + m2 // 2, | ||
] = 2 | ||
L_struct[ | ||
n1 // 2 - m1 // 2 + m1 : n1 // 2 + m1 // 2 + m1, | ||
n2 // 2 - m2 // 2 + m2 : n2 // 2 + m2 // 2 + m2, | ||
] = 3 | ||
L_struct[ | ||
n1 // 3 - m1 // 2 : n1 // 3 + m1 // 2, | ||
n2 // 3 - m2 // 2 : n2 // 3 + m2 // 2, | ||
] = 4 | ||
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pgs = gs.PGS(2, [field1_unstruct, field2_unstruct], L_struct) | ||
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self.assertAlmostEqual(pgs.P[0], 4.0) | ||
self.assertAlmostEqual(pgs.P[-1], 1.0) | ||
self.assertAlmostEqual(pgs.P[n1 * n2 // 2], 1.0) | ||
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def test_assertions(self): | ||
n = 30 | ||
pos = [np.arange(n), np.arange(n), np.arange(n)] | ||
L_2d = np.empty((n, n)) | ||
field1 = np.empty((n, n)) | ||
field2 = np.empty((n - 1, n - 1)) | ||
self.assertRaises(ValueError, gs.PGS, 3, [0, 1], None) | ||
self.assertRaises(ValueError, gs.PGS, 3, pos, L_2d) | ||
self.assertRaises(ValueError, gs.PGS, 2, [field1, field2], L_2d) |