def test_J9():
""" Test a property of J from result 4 of the paper """
d = SD([1/2, 1/4, 1/8, 1/16, 1/16])
j = J(d)
h = H(d)
s = sum(H(p) for p in d.pmf)
assert j == pytest.approx(s-h)
def test_J9():
""" Test a property of J from result 4 of the paper """
d = SD([1 / 2, 1 / 4, 1 / 8, 1 / 16, 1 / 16])
j = J(d)
h = H(d)
s = sum(H(p) for p in d.pmf)
assert_almost_equal(j, s - h)
def test_H3():
""" Test joint and marginal entropies """
outcomes = ['00', '01', '10', '11']
pmf = [1 / 4] * 4
d = D(outcomes, pmf)
assert H(d, [0]) == pytest.approx(1.0)
assert H(d, [1]) == pytest.approx(1.0)
assert H(d, [0, 1]) == pytest.approx(2.0)
assert H(d) == pytest.approx(2.0)
def test_H3():
""" Test joint and marginal entropies """
outcomes = ['00', '01', '10', '11']
pmf = [1 / 4] * 4
d = D(outcomes, pmf)
assert_almost_equal(H(d, [0]), 1.0)
assert_almost_equal(H(d, [1]), 1.0)
assert_almost_equal(H(d, [0, 1]), 2.0)
assert_almost_equal(H(d), 2.0)
def test_J11():
""" Test a property of J from result 5 of the paper """
pmf = np.array([1 / 2, 1 / 4, 1 / 8, 1 / 16, 1 / 16])
N = len(pmf)
d = SD(pmf)
q = SD(1 / (N - 1) * (1 - pmf))
j2 = (N - 1) * (H(q) - np.log2(N - 1))
assert_almost_equal(J(d), j2)
def test_J8():
""" Test a property of J from result 1 of the paper using log bases """
for i in range(3, 10):
d = SD([1 / i] * i)
d.set_base(i)
yield assert_true, J(d) < H(d)
def test_J7():
""" Test a property of J from result 1 of the paper """
for i in range(3, 10):
d = SD([1 / i] * i)
yield assert_true, J(d) < H(d)
def test_J1():
""" Test that H = J for two probabilities """
assert_almost_equal(H(0.25), J(0.25))
def test_BR1():
""" Test that B + R = H """
d = D(['000', '001', '010', '100', '111'], [1 / 5] * 5)
assert_almost_equal(B(d) + R(d), H(d))
def test_H1():
""" Test the entropy of a fair coin """
d = SD([1 / 2, 1 / 2])
assert H(d) == pytest.approx(1.0)
def test_H4():
""" Test entropy in base 10 """
d = SD([1 / 10] * 10)
d.set_base(10)
assert_almost_equal(H(d), 1.0)
def test_H2():
""" Test the entropy of a fair coin, float style """
assert_almost_equal(H(1 / 2), 1.0)
def test_H1():
""" Test the entropy of a fair coin """
d = SD([1 / 2, 1 / 2])
assert_almost_equal(H(d), 1.0)
def test_BR1():
""" Test that B + R = H """
d = D(['000', '001', '010', '100', '111'], [1 / 5] * 5)
assert B(d) + R(d) == pytest.approx(H(d))
def test_R4():
""" Test that R = H - I in two variables """
d = D(['00', '01', '11'], [1 / 3] * 3)
assert R(d) == pytest.approx(H(d) - I(d, [0], [1]))
def test_J1():
""" Test that H = J for two probabilities """
assert H(0.25) == pytest.approx(J(0.25))
def test_J7(i):
""" Test a property of J from result 1 of the paper """
d = SD([1/i]*i)
assert J(d) < H(d)
def test_H2():
""" Test the entropy of a fair coin, float style """
assert H(1 / 2) == pytest.approx(1.0)
def test_J8(i):
""" Test a property of J from result 1 of the paper using log bases """
d = SD([1/i]*i)
d.set_base(i)
assert J(d) < H(d)
def test_H4():
""" Test entropy in base 10 """
d = SD([1 / 10] * 10)
d.set_base(10)
assert H(d) == pytest.approx(1.0)
def test_R4():
""" Test that R = H - I in two variables """
d = D(['00', '01', '11'], [1 / 3] * 3)
assert_almost_equal(R(d), H(d) - I(d, [0], [1]))