def setUp(self):
self.a = Variable([[1,2], [2,3]])
self.b = Variable([[4,5], [6,7]])
self.f = BinaryFunctionImpl(a=self.a,
b=self.b)
self.f.register(self.f)
self.f.new_context()
def test_all(self):
x = Variable([[1, 2, 3]])
y = (x > 0).all()
self.assertTrue(y())
x = Variable([[1, 2, 3]])
y = (x > 1).all()
self.assertFalse(y())
def test_running_multiple_tensors(self):
a = Variable(3)
b = Variable(2)
c = a * b
ans_a, ans_b, ans_c = run([a, b, c])
self.assertEqual(ans_a, 3)
self.assertEqual(ans_b, 2)
self.assertEqual(ans_c, 6)
def test_valid_function_result(self):
a = Variable(1)
b = Variable(2)
c = a + b
expected = 3
actual = run(c)
self.assertIsNotNone(actual)
self.assertEqual(expected, actual)
def test_any(self):
x = Variable([[1, 2, 3], [4, 5, 6]])
y = (x > 5).any()
self.assertTrue(y())
x = Variable([[1, 2, 3], [4, 5, 6]])
y = (x > 6).any()
self.assertFalse(y())
def test_correct_context_assigned(self):
a = Variable(1)
b = Variable(2)
c = a + b
d = a + 1
new_backward_context({a, b, c})
self.assertEqual({c}, set(a.ctx))
self.assertEqual({c}, set(b.ctx))
self.assertEqual(set(), set(c.ctx))
def test_ignore_invalid_nodes(self):
a = Variable(1)
b = Variable(2)
c = Variable(3)
d = a + b
e = b + c
f = d + e
expected = 3
actual = run(d)
self.assertTrue(expected, actual)
def test_correct_dependencies(self):
a = Variable([1, 2, 3])
b = two(a)
x = a + b
y = two(x)
z = Variable(3)
c = z + x
self.assertEqual({a}, a.dependencies)
self.assertEqual({b, a}, b.dependencies)
self.assertEqual({x, a, b}, x.dependencies)
self.assertEqual({y, x, a, b}, y.dependencies)
self.assertEqual({z}, z.dependencies)
self.assertEqual({c, z, x, a, b}, c.dependencies)
def test_correct_dependencies(self):
a = Variable(0)
b = Variable(1)
c = a+b
d = Variable(2)
e = b+d
f = c+d
self.assertEqual({a}, a.dependencies)
self.assertEqual({b}, b.dependencies)
self.assertEqual({c,a,b}, c.dependencies)
self.assertEqual({d}, d.dependencies)
self.assertEqual({e,b,d}, e.dependencies)
self.assertEqual({f,c,d,a,b}, f.dependencies)
def test_no_gradient_is_propagated(self):
x = Variable(1)
y = x + two(x)
y.register(y)
y.new_context()
y.accumulate(y, 1)
self.assertEqual(x.gradient, 1)
def test_dot_product_of_matrix_with_same_shape(self):
a = Variable([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
b = Variable([[2, 3, 4], [5, 6, 7], [8, 9, 0]])
op = MatMul(a, b)
op.register(op)
op.new_context()
expected = np.array([[36, 42, 18], [81, 96, 51], [126, 150, 84]])
actual = op.forward()
self.assertTrue((expected == actual).all())
gradient = np.ones((3, 3))
op.accumulate(op, gradient)
expected1 = np.array([[9, 18, 17], [9, 18, 17], [9, 18, 17]])
expected2 = np.array([[12, 12, 12], [15, 15, 15], [18, 18, 18]])
actual1 = a.gradient
actual2 = b.gradient
self.assertTrue((expected1 == actual1).all())
self.assertTrue((expected2 == actual2).all())
def test_dot_product_of_matrix_with_vector(self):
a = Variable([[1, 2], [3, 4], [5, 6]])
b = Variable([2, 3])
op = MatMul(a, b)
op.register(op)
op.new_context()
expected = np.array([8, 18, 28])
actual = op.forward()
self.assertTrue((expected == actual).all())
gradient = np.ones((3, ))
op.accumulate(op, gradient)
expected1 = np.array([[2, 3], [2, 3], [2, 3]])
expected2 = np.array([9, 12])
actual1 = a.gradient
actual2 = b.gradient
self.assertTrue((expected1 == actual1).all())
self.assertTrue((expected2 == actual2).all())
def test_dot_product_of_matrix_with_different_row_and_col(self):
a = Variable([[1, 2, 3]])
b = Variable([[4], [5], [6]])
op = MatMul(a, b)
op.register(op)
op.new_context()
expected = np.array([[32]])
actual = op.forward()
self.assertTrue((expected == actual).all())
gradient = np.ones((1, 1))
op.accumulate(op, gradient)
expected1 = np.array([[4, 5, 6]])
expected2 = np.array([[1], [2], [3]])
actual1 = a.gradient
actual2 = b.gradient
self.assertTrue((expected1 == actual1).all())
self.assertTrue((expected2 == actual2).all())
def test_correct_dependencies(self):
x = Variable([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
b = len(x)
c = x * b
d = b + x
self.assertEqual({x}, x.dependencies)
self.assertEqual({b, x}, b.dependencies)
self.assertEqual({c, b, x}, c.dependencies)
self.assertEqual({d, b, x}, d.dependencies)
def test_len_does_not_affect_gradient(self):
x = Variable([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
op = x * len(x)
self.assertTrue((op.forward() == [[3, 6, 9], [12, 15, 18],
[21, 24, 27]]).all())
op.register(op)
op.new_context()
op.accumulate(op, [[1, 1, 1], [1, 1, 1], [1, 1, 1]])
self.assertTrue((x.gradient == [[3, 3, 3], [3, 3, 3], [3, 3,
3]]).all())
def test_correct_gradient_propagated(self):
x = Variable([[1, 2], [3, 4]])
y = (x > 2) * x
expected = np.array([[0, 0], [3, 4]])
y.register(y)
actual = y()
self.assertTrue((expected == actual).all())
y.accumulate(y, np.ones_like(actual))
expected = np.array([[0, 0], [1, 1]])
actual = x.gradient
self.assertTrue((expected == actual).all())
def test_padding_with_4_pad_width(self):
x = Variable(np.ones((2,2)))
op = Pad(x, pad_width=((1,2), (3,4)))
expected = np.pad(x.data, pad_width=((1,2), (3,4)))
op.register(op)
op.new_context()
actual = op.forward()
self.assertTrue((expected == actual).all())
op.accumulate(op, np.ones_like(expected))
expected = np.ones((2,2))
actual = x.gradient
self.assertTrue((expected == actual).all())
def test_gradient_reshaped(self):
x = Variable([[1,2,3,4,5],
[6,7,8,9,10]])
op = Reshape(x, (5,2))
op.register(op)
op.new_context()
expected = (np.arange(10) + 1).reshape(5,2)
actual = op.forward()
self.assertTrue((expected == actual).all())
op.accumulate(op, np.ones((5,2)))
expected = np.ones_like(x.data)
actual = x.gradient
self.assertTrue((expected == actual).all())
def test_padding_with_scalar_pad_with(self):
x = Variable([[1,2,3,4,5],
[6,7,8,9,10]])
op = Pad(x, pad_width=1, constant_values=-1)
expected = np.pad(x.data, pad_width=1, constant_values=-1)
op.register(op)
op.new_context()
actual = op.forward()
self.assertTrue((expected == actual).all())
op.accumulate(op, np.ones_like(expected))
expected = np.ones((2,5))
actual = x.gradient
self.assertTrue((expected == actual).all())
def test_gradient_flattened_excluding_dim_0(self):
x = Variable([[[1, 2], [3, 4], [5, 6]],
[[7, 8], [9, 10], [11, 12]],
[[13, 14], [15, 16], [17, 18]]])
op = Flatten(x)
op.register(op)
op.new_context()
expected = (np.arange(18) + 1).reshape(3, 6)
actual = op.forward()
self.assertTrue((expected == actual).all())
op.accumulate(op, (np.arange(18) + 1).reshape(3, 6))
expected = (np.arange(18) + 1).reshape(3, 3, 2)
actual = x.gradient
self.assertTrue((expected == actual).all())
def test_previous_gradients_wrt_x_are_accounted(self):
a = Variable(np.arange(18).reshape(2, 3, 3))
op = a * Conv1D(self.x, self.y, padding='VALID', stride=1)
op.register(op)
op.new_context()
forward_result = op.forward()
expected = [[[0, 252, 546], [999, 1464, 1995], [2610, 3360, 4200]],
[[6669, 8220, 9933], [10116, 12168, 14406],
[14175, 16800, 19635]]]
self.assertTrue((expected == forward_result).all())
gradient = np.ones_like(forward_result.shape)
op.accumulate(op, gradient)
expected = [[[8, 17], [52, 97], [186, 294], [340, 439], [296, 359]],
[[62, 152], [322, 529], [834, 1185], [934, 1195],
[674, 818]]]
actual = self.x.gradient
self.assertTrue((expected == actual).all())
def test_previous_gradients_wrt_y_are_accounted(self):
a = Variable(np.arange(18).reshape(2, 3, 3))
op = a * Conv1D(self.x, self.y, padding='VALID', stride=1)
op.register(op)
op.new_context()
forward_result = op.forward()
expected = [[[0, 252, 546], [999, 1464, 1995], [2610, 3360, 4200]],
[[6669, 8220, 9933], [10116, 12168, 14406],
[14175, 16800, 19635]]]
self.assertTrue((expected == forward_result).all())
gradient = np.ones_like(forward_result.shape)
op.accumulate(op, gradient)
expected = [[[519, 567, 615], [564, 618, 672]],
[[609, 669, 729], [654, 720, 786]],
[[699, 771, 843], [744, 822, 900]]]
actual = self.y.gradient
self.assertTrue((expected == actual).all())
def setUp(self) -> None:
self.a = Variable([3., 2., 1., 0., 3., 0])
self.b = Variable([0., 1., 2., 3., 4., 0])
def setUp(self) -> None:
self.a = Variable([[1, 2, 3], [4, 5, 6]])
def test_gradient_is_propagated(self):
x = Variable(1)
y = Gradient(x)
y.new_context()
y.forward()
self.assertTrue(x.gradient == 1)
def setUp(self) -> None:
self.a = Variable([1, 2, 3, 4])
def setUp(self) -> None:
self.a = Variable([[1, 2, 6], [3, 4, 5]])
self.b = Variable([[1, 1, 1], [1, 1, 1]])
self.c = Variable([[1, 1, 1]])
self.d = Variable([[1], [2]])
self.e = Variable(2)
def setUp(self) -> None:
self.a = Variable(1)
self.b = Variable(2)
self.c = 3
def test_matmul(self):
self.assertEqual(Variable([1]).matmul(Variable([2]))(), [2])
self.assertEqual(Variable([1]).dot(Variable([2]))(), [2])
self.assertEqual((Variable([1]) @ Variable([2]))(), [2])
def setUp(self) -> None:
self.a = Variable([[0, 1], [1, 0], [1, 1], [2, 4]])
