def test_TrefethenCC_d3(self):
"""Test for Trefethen - Sausage Clenshaw Curtis and parameter d=3."""
grid = TrefethenCC(10, 3)
tmp = ClenshawCurtis(10)
new_points = _g3(tmp.points)
new_weights = _derg3(tmp.points) * tmp.weights
assert_allclose(grid.points, new_points)
assert_allclose(grid.weights, new_weights)
def test_TrefethenGC2_d3(self):
"""Test for Trefethen - Sausage GaussChebyshev2 and parameter d=3."""
grid = TrefethenGC2(10, 3)
tmp = GaussChebyshevType2(10)
new_points = _g3(tmp.points)
new_weights = _derg3(tmp.points) * tmp.weights
assert_allclose(grid.points, new_points)
assert_allclose(grid.weights, new_weights)
def test_AuxiliarTrefethenSausage(self):
"""Test for Auxiliary functions using in Trefethen Sausage."""
xref = np.array([-1.0, 0.0, 1.0])
d2ref = np.array([1.5100671140939597, 0.8053691275167785, 1.5100671140939597])
d3ref = np.array([1.869031249411366, 0.7594793648401741, 1.869031249411366])
newxg2 = _g2(xref)
newxg3 = _g3(xref)
newd2 = _derg2(xref)
newd3 = _derg3(xref)
assert_allclose(xref, newxg2)
assert_allclose(xref, newxg3)
assert_allclose(d2ref, newd2)
assert_allclose(d3ref, newd3)