def test_symmetric(x, y):
"""
Write a test that ensures that :func:`minitorch.operators.mul` is symmetric, i.e.
gives the same value regardless of the order of its input.
"""
assert operators.mul(x, y) == operators.mul(y, x)
assert operators.add(x, y) == operators.add(y, x)
def test_distribute(x, y, z):
r"""
Write a test that ensures that your operators distribute, i.e.
:math:`z \times (x + y) = z \times x + z \times y`
"""
assert_close(operators.mul(z, operators.add(x, y)),
operators.add(operators.mul(x, z), operators.mul(y, z)))
def test_associate(x, y, z):
"""
Write a test that ensures some other property holds for your functions.
"""
assert_close(operators.mul(operators.mul(x, y), z),
operators.mul(x, operators.mul(y, z)))
assert_close(operators.add(operators.add(x, y), z),
operators.add(x, operators.add(y, z)))
def test_distribute(x, y, z):
r"""
Write a test that ensures that your operators distribute, i.e.
:math:`z \times (x + y) = z \times x + z \times y`
"""
r1 = operators.mul(z, operators.add(x, y))
r2 = operators.add(operators.mul(z, x), operators.mul(z, y))
assert_close(r1, r2)
def test_distribute(x, y, z):
r"""
Write a test that ensures that your operators distribute, i.e.
:math:`z \times (x + y) = z \times x + z \times y`
"""
# TODO: Implement for Task 0.2.
assert_close(operators.mul(z, operators.add(x, y)),
operators.add(operators.mul(z, x), operators.mul(z, y)))
def test_distribute(x, y, z):
"""
Write a test that ensures that your operators distribute, i.e.
:math:`z \times (x + y) = z \times x + z \times y`
"""
#None
assert_close(operators.add((operators.mul(z, y)), operators.mul(z, x)),
(z * x) + (z * y))
assert_close(operators.mul(z, operators.add(x, y)), z * (x + y))
def test_distribute():
r"""
A test that ensures that your operators distribute, i.e.
:math:`z \times (x + y) = z \times x + z \times y`
"""
a = list(range(-500, 501))
b = list(range(-500, 501))
c = list(range(-500, 501))
for i, j, z in zip(a, b, c):
assert operators.mul(z, operators.add(i, j)) == operators.add(
operators.mul(z, i), operators.mul(z, j))
def test_property(ls1, ls2):
"""
Write a test that ensures that the sum of `ls1` plus the sum of `ls2`
is the same as the sum of each element of `ls1` plus each element of `ls2`.
"""
assert_close(operators.add(operators.sum(ls1), operators.sum(ls2)),
operators.sum(operators.zipWith(operators.add)(ls1, ls2)))
def test_inv(x):
"""
Write a test that ensures some other property holds for your functions.
"""
if x != 0:
assert_close(operators.mul(x, operators.inv(x)), 1)
assert_close(operators.add(x, operators.neg(x)), 0)
def test_property(ls1, ls2):
"""
Write a test that ensures that the sum of `ls1` plus the sum of `ls2`
is the same as the sum of each element of `ls1` plus each element of `ls2`.
"""
indiv_sum = operators.add(operators.sum(ls1), operators.sum(ls2))
total_sum = operators.sum(operators.addLists(ls1, ls2))
assert_close(indiv_sum, total_sum)
def test_same_as_python(x, y):
"Check that the main operators all return the same value of the python version"
assert_close(mul(x, y), x * y)
assert_close(add(x, y), x + y)
assert_close(neg(x), -x)
assert_close(max(x, y), x if x > y else y)
if x != 0.0:
assert_close(inv(x), 1.0 / x)
def test_property(ls1, ls2):
"""
Write a test that ensures that the sum of `ls1` plus the sum of `ls2`
is the same as the sum of each element of `ls1` plus each element of `ls2`.
"""
# TODO: Implement for Task 0.3.
sum = operators.add(operators.sum(ls1), operators.sum(ls2))
elem_sum = operators.sum(operators.addLists(ls1, ls2))
assert_close(sum, elem_sum)
def test_distribute(x, y, z):
assert_close(op.mul(z, op.add(x, y)), op.add(op.mul(z, x), op.mul(z, y)))
def test_symmetric(x, y):
assert op.mul(x, y) == op.mul(y, x)
assert op.add(x, y) == op.add(y, x)
assert op.max(x, y) == op.max(y, x)
assert op.eq(x, y) == op.eq(y, x)
def test_other(x):
"""
Difference of identical numbers is 0
"""
assert_close(operators.add(x, operators.neg(x)), 0.)
def test_distribute(a, b, c):
r"""
Write a test that ensures that your operators distribute, i.e.
:math:`z \times (x + y) = z \times x + z \times y`
"""
assert operators.mul(a, operators.add(b, c)) == operators.add(operators.mul(a, b), operators.mul(a, c))
def test_distribute(x, y, z):
assert_close(operators.mul(x, operators.add(y, z)),
operators.add(operators.mul(x, y), operators.mul(x, z)))
def test_property(ls1, ls2):
assert_close(op.add(op.sum(ls1), op.sum(ls2)),
op.sum([op.add(x, y) for x, y in zip(ls1, ls2)]))
def test_other(x, y):
"""
Write a test that ensures some other property holds for your functions.
"""
# TODO: Implement for Task 0.2.
assert operators.add(x, y) == operators.add(y, x)
def test_add_and_mul(x, y):
assert_close(operators.mul(x, y), x * y)
assert_close(operators.add(x, y), x + y)
assert_close(operators.neg(x), -x)
def test_associative(x, y, z):
"""
Write a test that ensures some other property holds for your functions.
"""
assert operators.add(x, operators.add(y, z)) == operators.add(
operators.add(x, y), z)
def test_property(ls1, ls2):
assert_close(operators.add(math.fsum(ls1), math.fsum(ls2)),
math.fsum(operators.addLists(ls1, ls2)))
def test_other(a, b):
"""
Write a test that ensures some other property holds for your functions.
"""
assert_close(operators.add(a, b), operators.add(b, a))
