def test_t_roots():
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, 5)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, 25)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, 100)
x, w = orth.t_roots(5, False)
y, v, m = orth.t_roots(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
assert_raises(ValueError, orth.t_roots, 0)
assert_raises(ValueError, orth.t_roots, 3.3)
def test_t_roots():
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, 5)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, 25)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, 100)
x, w = orth.t_roots(5, False)
y, v, m = orth.t_roots(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
assert_raises(ValueError, orth.t_roots, 0)
assert_raises(ValueError, orth.t_roots, 3.3)
def test_t_roots():
weightf = orth.chebyt(5).weight_func
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, weightf, -1., 1., 5)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, weightf, -1., 1., 25)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, weightf, -1., 1., 100)
x, w = orth.t_roots(5, False)
y, v, m = orth.t_roots(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
muI, muI_err = integrate.quad(weightf, -1, 1)
assert_allclose(m, muI, rtol=muI_err)
assert_raises(ValueError, orth.t_roots, 0)
assert_raises(ValueError, orth.t_roots, 3.3)
def test_t_roots():
weightf = orth.chebyt(5).weight_func
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, weightf, -1., 1., 5)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, weightf, -1., 1., 25)
verify_gauss_quad(orth.t_roots, orth.eval_chebyt, weightf, -1., 1., 100)
x, w = orth.t_roots(5, False)
y, v, m = orth.t_roots(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
muI, muI_err = integrate.quad(weightf, -1, 1)
assert_allclose(m, muI, rtol=muI_err)
assert_raises(ValueError, orth.t_roots, 0)
assert_raises(ValueError, orth.t_roots, 3.3)
def discretizeChebyshev(self, Axis_i):
[xi, self.weights[Axis_i]] = t_roots(
self.
listOfNbPointsOnEachIntervalForFinalDiscretization_Axis_kTotal[
Axis_i])
self.getDxiAfterTransf(
xi, Axis_i) # Update self.listOfTuckerGridNodes_Axis_k[Axis_i]
self.listOfcoefW[Axis_i] = self.lx[Axis_i] / 2
def quadrature(self,n): return so.t_roots(n) class HermitePolynomial(OrthogonalPolynomial):