def test_beta_equal_params_float():
assert beta_cprior(100.1, 90.1, 100.1, 90.1) == approx(0.5)
def test_beta_equal_params_integer():
assert beta_cprior(100, 90, 100, 90) == approx(0.5)
def test_beta_small_b1():
assert beta_cprior(1000, 900, 1200, 800) == approx(0.9999982656, rel=1e-8)
def test_beta_small_b0():
assert beta_cprior(1000, 900, 1200, 1000) == approx(0.8898254504, rel=1e-8)
def test_beta_small_a1():
assert beta_cprior(600, 550, 52, 60) == approx(0.1223144258, rel=1e-8)
def test_beta_small_a0():
assert beta_cprior(10, 50, 60, 250) == approx(0.7088919200, rel=1e-8)