def test_log2_log10():
x = Reverse(3)
f = log2(x) + log10(x)
f.gradient_value = 1.0
assert f.value == approx(np.log2(3) + np.log10(3))
assert x.get_gradient() == approx(1 / (3 * np.log(10)) + 1 /
(3 * np.log(2)))
def test_add_radd_mult_rmult():
x = Reverse(2.0)
alpha = 2.0
beta = 3.0
functions = []
functions.append(('alpha * x + beta', alpha * x + beta))
functions.append(('x * alpha + beta', x * alpha + beta))
functions.append(('beta + alpha * x', beta + alpha * x))
functions.append(('beta + x * alpha', beta + x * alpha))
for (name, value) in functions:
value.gradient_value = 1.0
assert (value.value == 7)
assert (x.get_gradient() == approx(2))
def test_sqrt_Rev():
x = sqrt(Reverse(4.0))
y = Reverse(2.0)
assert (x == y)
def test_pow_reg_Rev():
x = 2**Reverse(2.0)
assert (x.value == 4.0)
def test_pow_Rev_Rev():
x = Reverse(2.0)**Reverse(2.0)
assert (x.value == 4.0)
def test_truediv_reg_Rev():
x = 2 / Reverse(1.0)
y = Reverse(2.0)
assert (x == y)
def test_truediv_Rev_Rev():
x = Reverse(6.0) / Reverse(3.0)
y = Reverse(2.0)
assert (x == y)
def test_sub_Rev_reg():
x = Reverse(2.0) - 1.0
y = Reverse(1.0)
assert (x == y)
def test_mult_reg_Rev():
x = 2 * Reverse(1.0)
y = Reverse(2.0)
assert (x == y)
def test_cosh_Rev():
assert (cosh(Reverse(0.5)).value == pytest.approx(1.1276, 0.001))
def test_sinh_Rev():
assert (sinh(Reverse(0.5)).value == pytest.approx(0.5210, 0.001))
def test_tan_Rev():
assert (tan(Reverse(5.0)).value == pytest.approx(-3.3805, 0.001))
def test_add_reg_Rev():
x = 2 + Reverse(1.0)
y = Reverse(3.0)
assert (x == y)
def test_cos_Rev():
assert (cos(Reverse(5.0)).value == pytest.approx(0.2836, 0.001))
def test_sin_Rev():
assert (sin(Reverse(3.0)).value == pytest.approx(0.1411, 0.001))
def test_ln_Rev():
assert (ln(Reverse(4.0)).value == pytest.approx(1.3862, 0.001))
def test_mult_Rev_reg():
x = Reverse(2.0) * 2.0
y = Reverse(4.0)
assert (x == y)
def test_tanh_Rev():
assert (tanh(Reverse(0.5)).value == pytest.approx(0.4621, 0.001))
def test_sub_Rev_Rev():
x = Reverse(2.0) - Reverse(1.0)
y = Reverse(1.0)
assert (x == y)
def test_sub_Rev():
x = Reverse(2.0)
assert ((cos(x**2) - cos(x**2)) == Reverse(0.0))
def test_sub_reg_Rev():
x = 2 - Reverse(1.0)
y = Reverse(1.0)
assert (x == y)
def test_sqrt_pow():
x = Reverse(4.0)
assert (sqrt(x**2) == Reverse(4.0))
def test_truediv_Rev_reg():
x = Reverse(6.0) / 3.0
y = Reverse(2.0)
assert (x == y)
def test_cot():
x = Reverse(5)
f = cot(x)
f.gradient_value = 1.0
assert f.value == approx(1 / np.tan(5))
assert x.get_gradient() == approx(-1 / np.sin(5)**2)
def test_add_Rev_Rev():
x = Reverse(2.0) + Reverse(3.0)
y = Reverse(5.0)
assert (x == y)
def test_sec():
x = Reverse(2)
f = sec(x)
f.gradient_value = 1.0
assert f.value == approx(1 / np.cos(2))
assert x.get_gradient() == approx(np.tan(2) / np.cos(2))
def test_pow_Rev_reg():
x = Reverse(2.0)**2
y = Reverse(4.0)
assert (x == y)
def test_mult_Rev_Rev():
x = Reverse(2.0) * Reverse(1.0)
y = Reverse(2.0)
assert (x == y)
def test_addition():
x = Reverse(3)
f = 4 * x - 6
f.gradient_value = 1.0
assert f.value == approx(6)
assert x.get_gradient() == approx(4)
def test_cosec():
x = Reverse(-1)
f = csc(x)
f.gradient_value = 1.0
assert f.value == approx(1 / np.sin(-1))
assert x.get_gradient() == approx(-1 / np.tan(-1) / np.sin(-1))