def test_ts_roots(): verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, 5) verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, 25) verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, 100, atol=1e-13) x, w = orth.ts_roots(5, False) y, v, m = orth.ts_roots(5, True) assert_allclose(x, y, 1e-14, 1e-14) assert_allclose(w, v, 1e-14, 1e-14) assert_raises(ValueError, orth.ts_roots, 0) assert_raises(ValueError, orth.ts_roots, 3.3)
def test_ts_roots(): weightf = orth.sh_chebyt(5).weight_func verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, weightf, 0.0, 1.0, 5) verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, weightf, 0.0, 1.0, 25) verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, weightf, 0.0, 1.0, 100, atol=1e-13) x, w = orth.ts_roots(5, False) y, v, m = orth.ts_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, 0, 1) assert_allclose(m, muI, rtol=muI_err) assert_raises(ValueError, orth.ts_roots, 0) assert_raises(ValueError, orth.ts_roots, 3.3)
def test_ts_roots(): weightf = orth.sh_chebyt(5).weight_func verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, weightf, 0., 1., 5) verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, weightf, 0., 1., 25) verify_gauss_quad(orth.ts_roots, orth.eval_sh_chebyt, weightf, 0., 1., 100, atol=1e-13) x, w = orth.ts_roots(5, False) y, v, m = orth.ts_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, 0, 1) assert_allclose(m, muI, rtol=muI_err) assert_raises(ValueError, orth.ts_roots, 0) assert_raises(ValueError, orth.ts_roots, 3.3)
def funnode(self): """Chebyshev nodes""" return self.a + (self.b - self.a) * orthogonal.ts_roots(self.n)[0]