Repository: scipy/scipy
File: scipy/special/tests/test_cdflib.py (Python)

Code before:
        [(np.nan, 1, 1), (1, np.nan, 1), (1, 1, np.nan),
         (np.nan, np.nan, 1), (np.nan, 1, np.nan), (1, np.nan, np.nan),
         (np.nan, np.nan, np.nan)]
    )
    def test_nan_propagation(self, args):
        assert np.isnan(sp.nbdtrin(*args))

    @pytest.mark.parametrize("args",
        [(-1, 1, 1), (1, -1, 1), (1, 1, -1), (-1, -1, 1),
         (-1, 1, -1), (1, -1, -1), (-1, -1, -1),
         (1, 1.1, 0.9), (1, 0.9, 1.1)]
    )  
    def test_domain_error(self, args):
        with sp.errstate(domain="raise"):
            with pytest.raises(sp.SpecialFunctionError, match="domain"):
                sp.nbdtrin(*args)

    @pytest.mark.parametrize(
            "k, y, p, n, rtol",
            [(5, 0.3214569091796875, 0.25, 3, 1e-18),
             (10, 3.820379007878081e-70, 0.15, 100, 1e-15),
             (100, 0.975574722927043, 0.15, 10, 1e-14),
             (2, 3.503253250000002e-73, 0.001, 25, 1e-18),
             (2, 0.9999993271029954, 0.999, 15, 1e-10),
             (500, 0.9999999998603178, 0.1, 15, 1e-8),
             (0, 1.0000000000000006e-10, 0.1, 10, 1e-18)])
    def test_inverse_n(self, k, y, p, n, rtol):
        # The following code was used to generate the values. 
        # import mpmath
        # import scipy
        # mpmath.mp.dps = 1000

        # def neg_binomial_cdf(k, n, p):
        #     return mpmath.betainc(n, k+1, x1=0, x2=p, regularized=True)
        # n = 3
        # p = 0.25
        # k = 5
        # cdf = neg_binomial_cdf(k, n, p)
        # print("y = ", float(cdf))
        # nval = (scipy.special.nbdtrin(k, float(cdf), p))
        # print("Relative Error:", (n - nval) / n)

        assert_allclose(sp.nbdtrin(k, y, p), n, rtol)

class TestNoncentralChiSquaredFunctions:

    def test_chndtr_and_inverses_against_wolfram_alpha(self):
        # Each row holds (x, nu, lam, expected_value)
        # These values were computed using Wolfram Alpha with
        #     CDF[NoncentralChiSquareDistribution[nu, lam], x]
        values = np.array([

Review comment (suggestion):
```suggestion
             (0, 1.0000000000000006e-10, 0.1, 10, 5e-16)])
```


Code after:
        [(np.nan, 1, 1), (1, np.nan, 1), (1, 1, np.nan),
         (np.nan, np.nan, 1), (np.nan, 1, np.nan), (1, np.nan, np.nan),
         (np.nan, np.nan, np.nan)]
    )
    def test_nan_propagation(self, args):
        assert np.isnan(sp.nbdtrin(*args))

    @pytest.mark.parametrize("args",
        [(-1, 1, 1), (1, -1, 1), (1, 1, -1), (-1, -1, 1),
         (-1, 1, -1), (1, -1, -1), (-1, -1, -1),
         (1, 1.1, 0.9), (1, 0.9, 1.1)]
    )  
    def test_domain_error(self, args):
        with sp.errstate(domain="raise"):
            with pytest.raises(sp.SpecialFunctionError, match="domain"):
                sp.nbdtrin(*args)

    @pytest.mark.parametrize(
            "k, y, p, n, rtol",
            [(5, 0.3214569091796875, 0.25, 3, 5e-16),
             (10, 3.820379007878081e-70, 0.15, 100, 1e-15),
             (100, 0.975574722927043, 0.15, 10, 1e-14),
             (2, 3.503253250000002e-73, 0.001, 25, 5e-16),
             (2, 0.9999993271029954, 0.999, 15, 1e-10),
             (500, 0.9999999998603178, 0.1, 15, 1e-8),
             (0, 1.0000000000000006e-10, 0.1, 10, 5e-16)])
    def test_inverse_n(self, k, y, p, n, rtol):
        # The following code was used to generate the values. 
        # import mpmath
        # import scipy
        # mpmath.mp.dps = 1000

        # def neg_binomial_cdf(k, n, p):
        #     return mpmath.betainc(n, k+1, x1=0, x2=p, regularized=True)
        # n = 3
        # p = 0.25
        # k = 5
        # cdf = neg_binomial_cdf(k, n, p)
        # print("y = ", float(cdf))
        # nval = (scipy.special.nbdtrin(k, float(cdf), p))
        # print("Relative Error:", (n - nval) / n)

        assert_allclose(sp.nbdtrin(k, y, p), n, rtol)

class TestNoncentralChiSquaredFunctions:

    def test_chndtr_and_inverses_against_wolfram_alpha(self):
        # Each row holds (x, nu, lam, expected_value)
        # These values were computed using Wolfram Alpha with
        #     CDF[NoncentralChiSquareDistribution[nu, lam], x]
        values = np.array([