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102 lines
3.8 KiB
Python
102 lines
3.8 KiB
Python
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import unittest
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import numpy as np
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from numpy import cos, pi
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import numpy.testing as npt
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from numpy.testing import assert_array_almost_equal
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from wafo.padua import (padua_points, example_functions, padua_fit,
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# padua_fit2,
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padua_cubature, padua_val)
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class PaduaTestCase(unittest.TestCase):
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def test_padua_points_degree0(self):
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pad = padua_points(0)
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expected = [[-1], [-1]]
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assert_array_almost_equal(pad, expected, 15)
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def test_padua_points_degree1(self):
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pad = padua_points(1)
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expected = [cos(np.r_[0, 1, 1] * pi),
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cos(np.r_[1, 0, 2] * pi / 2)]
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assert_array_almost_equal(pad, expected, 15)
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def test_padua_points_degree2(self):
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pad = padua_points(2, domain=[0, 1, 0, 2])
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expected = [(cos(np.r_[0, 0, 1, 1, 2, 2] * pi / 2) + 1) / 2,
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cos(np.r_[1, 3, 0, 2, 1, 3] * pi / 3) + 1]
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assert_array_almost_equal(pad, expected, 15)
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def test_testfunct(self):
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vals = [example_functions(0, 0, id_) for id_ in range(12)]
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expected = [7.664205912849231e-01, 0.7071067811865476, 0,
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1.6487212707001282, 1.9287498479639178e-22, 1.0,
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1.0, 1.0, 1.0, 0.0, 1.0, 0.0]
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assert_array_almost_equal(vals, expected, 15)
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def test_padua_fit_even_degree(self):
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points = padua_points(10)
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C0f, abs_error = padua_fit(points, example_functions, 6)
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expected = np.zeros((11, 11))
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expected[0, 0] = 1
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assert_array_almost_equal(C0f, expected, 15)
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assert_array_almost_equal(abs_error, 1.2168216554799264e-15)
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def test_padua_fit_odd_degree(self):
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points = padua_points(9)
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C0f, abs_error = padua_fit(points, example_functions, 6)
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expected = np.zeros((10, 10))
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expected[0, 0] = 1
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assert_array_almost_equal(C0f, expected, 15)
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assert_array_almost_equal(abs_error, 4.509537093983535e-17)
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# TODO: padua_fit2 does not work correctly
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# def test_padua_fit_odd_degree2(self):
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# points = padua_points(9)
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# C0f, _abs_error = padua_fit2(points, example_functions, 6)
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# expected = np.zeros((10, 10))
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# expected[0, 0] = 1
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# assert_array_almost_equal(C0f, expected, 15)
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def test_padua_cubature(self):
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domain = [0, 1, 0, 1]
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points = padua_points(500, domain)
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C0f, abs_error = padua_fit(points, example_functions, 0)
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val = padua_cubature(C0f, domain)
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expected = 4.06969589491556e-01
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assert_array_almost_equal(val, expected, 15)
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assert_array_almost_equal(abs_error, 3.66470417665e-16)
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def test_padua_val_unordered(self):
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domain = [0, 1, 0, 1]
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points = padua_points(20, domain)
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C0f, abs_error = padua_fit(points, example_functions, 0)
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X = np.array([0, 0.5, 1])
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# true_val = example_functions.franke(X, X)
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val = padua_val(X, X, C0f, domain)
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expected = [0.76642059128493, 0.32621734202885, 0.03587865112678]
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assert_array_almost_equal(val, expected, 14)
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assert_array_almost_equal(abs_error, 0.003897032262116954)
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def test_padua_val_grid(self):
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domain = [0, 1, 0, 1]
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a, b, c, d = domain
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points = padua_points(21, domain)
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C0f, abs_error = padua_fit(points, example_functions, 0)
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X1 = np.linspace(a, b, 2)
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X2 = np.linspace(c, d, 2)
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val = padua_val(X1, X2, C0f, domain, use_meshgrid=True)
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expected = [[0.76642059128493, 0.10757071952145],
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[0.27033716159114, 0.03573497102484]]
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assert_array_almost_equal(val, expected, 14)
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assert_array_almost_equal(abs_error, 0.0022486904061664046)
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if __name__ == "__main__":
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npt.run_module_suite()
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