def test_us_roots():
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, 5)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, 25)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, 100, atol=1e-13)
x, w = orth.us_roots(5, False)
y, v, m = orth.us_roots(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
assert_raises(ValueError, orth.us_roots, 0)
assert_raises(ValueError, orth.us_roots, 3.3)
def test_us_roots():
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, 5)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, 25)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, 100, atol=1e-13)
x, w = orth.us_roots(5, False)
y, v, m = orth.us_roots(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
assert_raises(ValueError, orth.us_roots, 0)
assert_raises(ValueError, orth.us_roots, 3.3)
def test_us_roots():
weightf = orth.sh_chebyu(5).weight_func
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, weightf, 0.0, 1.0, 5)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, weightf, 0.0, 1.0, 25)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, weightf, 0.0, 1.0, 100, atol=1e-13)
x, w = orth.us_roots(5, False)
y, v, m = orth.us_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.us_roots, 0)
assert_raises(ValueError, orth.us_roots, 3.3)
def test_us_roots():
weightf = orth.sh_chebyu(5).weight_func
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, weightf, 0., 1., 5)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, weightf, 0., 1., 25)
verify_gauss_quad(orth.us_roots, orth.eval_sh_chebyu, weightf, 0., 1.,
100, atol=1e-13)
x, w = orth.us_roots(5, False)
y, v, m = orth.us_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.us_roots, 0)
assert_raises(ValueError, orth.us_roots, 3.3)
