def test_roots_sh_chebyu(): weightf = orth.sh_chebyu(5).weight_func verify_gauss_quad(sc.roots_sh_chebyu, orth.eval_sh_chebyu, weightf, 0., 1., 5) verify_gauss_quad(sc.roots_sh_chebyu, orth.eval_sh_chebyu, weightf, 0., 1., 25) verify_gauss_quad(sc.roots_sh_chebyu, orth.eval_sh_chebyu, weightf, 0., 1., 100, atol=1e-13) x, w = sc.roots_sh_chebyu(5, False) y, v, m = sc.roots_sh_chebyu(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, sc.roots_sh_chebyu, 0) assert_raises(ValueError, sc.roots_sh_chebyu, 3.3)
def test_roots_sh_chebyu(): weightf = orth.sh_chebyu(5).weight_func verify_gauss_quad(sc.roots_sh_chebyu, sc.eval_sh_chebyu, weightf, 0., 1., 5) verify_gauss_quad(sc.roots_sh_chebyu, sc.eval_sh_chebyu, weightf, 0., 1., 25) verify_gauss_quad(sc.roots_sh_chebyu, sc.eval_sh_chebyu, weightf, 0., 1., 100, atol=1e-13) x, w = sc.roots_sh_chebyu(5, False) y, v, m = sc.roots_sh_chebyu(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, sc.roots_sh_chebyu, 0) assert_raises(ValueError, sc.roots_sh_chebyu, 3.3)