def test_roots_chebyc():
weightf = orth.chebyc(5).weight_func
verify_gauss_quad(sc.roots_chebyc, orth.eval_chebyc, weightf, -2., 2., 5)
verify_gauss_quad(sc.roots_chebyc, orth.eval_chebyc, weightf, -2., 2., 25)
verify_gauss_quad(sc.roots_chebyc, orth.eval_chebyc, weightf, -2., 2., 100)
x, w = sc.roots_chebyc(5, False)
y, v, m = sc.roots_chebyc(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
muI, muI_err = integrate.quad(weightf, -2, 2)
assert_allclose(m, muI, rtol=muI_err)
assert_raises(ValueError, sc.roots_chebyc, 0)
assert_raises(ValueError, sc.roots_chebyc, 3.3)
def test_roots_chebyc():
weightf = orth.chebyc(5).weight_func
verify_gauss_quad(sc.roots_chebyc, sc.eval_chebyc, weightf, -2., 2., 5)
verify_gauss_quad(sc.roots_chebyc, sc.eval_chebyc, weightf, -2., 2., 25)
verify_gauss_quad(sc.roots_chebyc, sc.eval_chebyc, weightf, -2., 2., 100, atol=1e-12)
x, w = sc.roots_chebyc(5, False)
y, v, m = sc.roots_chebyc(5, True)
assert_allclose(x, y, 1e-14, 1e-14)
assert_allclose(w, v, 1e-14, 1e-14)
muI, muI_err = integrate.quad(weightf, -2, 2)
assert_allclose(m, muI, rtol=muI_err)
assert_raises(ValueError, sc.roots_chebyc, 0)
assert_raises(ValueError, sc.roots_chebyc, 3.3)
