test_imperative_double_grad.py

# Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import paddle.fluid as fluid
from paddle.fluid.wrapped_decorator import wrap_decorator
import unittest
from unittest import TestCase
import numpy as np


def _dygraph_guard_(func):
    def __impl__(*args, **kwargs):
        if fluid.in_dygraph_mode():
            return func(*args, **kwargs)
        else:
            with fluid.dygraph.guard():
                return func(*args, **kwargs)

    return __impl__


dygraph_guard = wrap_decorator(_dygraph_guard_)


def random_var(size, low=-1, high=1, dtype='float32'):
    x_np = np.random.uniform(low=low, high=high, size=size).astype(dtype)
    return fluid.dygraph.to_variable(x_np)


class TestDygraphDoubleGrad(TestCase):
    def setUp(self):
        self.sort_sum_gradient = False
        self.shape = [5, 10]

    def grad(self,
             outputs,
             inputs,
             grad_outputs=None,
             no_grad_vars=None,
             retain_graph=None,
             create_graph=False,
             allow_unused=False):
        backward_strategy = fluid.dygraph.BackwardStrategy()
        backward_strategy.sort_sum_gradient = self.sort_sum_gradient
        return fluid.dygraph.grad(
            outputs=outputs,
            inputs=inputs,
            grad_outputs=grad_outputs,
            no_grad_vars=no_grad_vars,
            retain_graph=retain_graph,
            create_graph=create_graph,
            allow_unused=allow_unused,
            backward_strategy=backward_strategy)

    @dygraph_guard
    def test_exception(self):
        with self.assertRaises(AssertionError):
            self.grad(None, None)

        shape = self.shape

        with self.assertRaises(AssertionError):
            self.grad(1, random_var(shape))

        with self.assertRaises(AssertionError):
            self.grad(random_var(shape), 1)

        with self.assertRaises(AssertionError):
            self.grad([1], [random_var(shape)])

        with self.assertRaises(AssertionError):
            self.grad([random_var(shape)], [1])

        with self.assertRaises(AssertionError):
            self.grad([random_var(shape), random_var(shape)],
                      [random_var(shape)], [random_var(shape)])

        with self.assertRaises(AssertionError):
            self.grad(
                [random_var(shape)], [random_var(shape)], no_grad_vars=[1])

        with self.assertRaises(AssertionError):
            self.grad([random_var(shape)], [random_var(shape)], no_grad_vars=1)

    @dygraph_guard
    def test_simple_example(self):
        x = random_var(self.shape)
        x.stop_gradient = False
        y = x + 1

        for create_graph in [False, True]:
            dx, = self.grad(
                [x], [x], create_graph=create_graph, retain_graph=True)
            self.assertEqual(dx.shape, x.shape)
            self.assertTrue(np.all(dx.numpy() == 1))
            self.assertNotEqual(dx.stop_gradient, create_graph)

            dx_mul_2, = self.grad(
                [y, x], [x], create_graph=create_graph, retain_graph=True)
            self.assertEqual(dx_mul_2.shape, x.shape)
            self.assertTrue(np.all(dx_mul_2.numpy() == 2))
            self.assertNotEqual(dx_mul_2.stop_gradient, create_graph)

            none_grad, = self.grad(
                [x], [y], create_graph=create_graph, allow_unused=True)
            self.assertTrue(none_grad is None)

            grad_with_none_and_not_none, = self.grad(
                [x, y], [y], create_graph=create_graph)
            self.assertTrue(grad_with_none_and_not_none.shape, x.shape)
            self.assertTrue(np.all(grad_with_none_and_not_none.numpy() == 1))
            self.assertNotEqual(grad_with_none_and_not_none.stop_gradient,
                                create_graph)

    @dygraph_guard
    def test_none_one_initial_gradient(self):
        numel = 1
        for s in self.shape:
            numel *= s

        half_numel = int(numel / 2)
        half_x_positive = np.random.uniform(low=1, high=2, size=[half_numel])
        half_x_negative = np.random.uniform(
            low=-2, high=-1, size=[numel - half_numel])
        x_np = np.array(list(half_x_positive) + list(half_x_negative)).astype(
            'float32')
        np.random.shuffle(x_np)

        x = fluid.dygraph.to_variable(x_np)
        x.stop_gradient = False

        alpha = 0.2
        y = fluid.layers.leaky_relu(x, alpha=alpha)
        y = y * y
        z = y * y

        x_np = x.numpy()
        relu_x_np = np.maximum(x_np, alpha * x_np).astype('float32')
        relu_x_grad_np = ((x_np > 0) + (x_np < 0) * alpha).astype('float32')
        dy_expected = (relu_x_np * relu_x_grad_np * 2).astype('float32')
        dz_expected = (np.power(relu_x_np, 3) * relu_x_grad_np *
                       4).astype('float32')

        random_grad_y = random_var(y.shape, low=1, high=2)
        random_grad_z = random_var(z.shape, low=1, high=2)
        ones_grad_y = np.ones(y.shape).astype('float32')
        ones_grad_z = np.ones(z.shape).astype('float32')

        original_random_grad_y = random_grad_y.numpy()
        original_random_grad_z = random_grad_z.numpy()

        for grad_y in [random_grad_y]:
            for grad_z in [random_grad_z]:
                for create_graph in [False, True]:
                    dx_actual, = self.grad(
                        outputs=[y, z],
                        inputs=[x],
                        grad_outputs=[grad_y, grad_z],
                        create_graph=create_graph,
                        retain_graph=True)

                    grad_y_np = ones_grad_y if grad_y is None else grad_y.numpy(
                    )
                    grad_z_np = ones_grad_z if grad_z is None else grad_z.numpy(
                    )

                    dx_expected = dy_expected * grad_y_np + dz_expected * grad_z_np
                    self.assertTrue(np.allclose(dx_actual.numpy(), dx_expected))

                    if grad_y is not None:
                        self.assertTrue(grad_y.stop_gradient)
                        self.assertTrue(
                            np.array_equal(grad_y.numpy(),
                                           original_random_grad_y))

                    if grad_z is not None:
                        self.assertTrue(grad_z.stop_gradient)
                        self.assertTrue(
                            np.array_equal(grad_z.numpy(),
                                           original_random_grad_z))

    @dygraph_guard
    def test_example_with_gradient_accumulation_and_create_graph(self):
        x = random_var(self.shape)
        x_np = x.numpy()
        numel = x_np.size
        x.stop_gradient = False

        y = fluid.layers.relu(x)
        z = y + 1
        w = z * z

        w_mean = fluid.layers.reduce_mean(w)
        del y, z, w

        dx_actual, = self.grad([w_mean], [x], create_graph=True)
        del w_mean

        self.assertFalse(dx_actual.stop_gradient)

        # Theoritical result based on math calculation
        dx_expected = (1.0 / float(numel) * (np.maximum(x_np, 0) + 1) *
                       (x_np > 0) * 2).astype('float32')
        self.assertTrue(np.allclose(dx_actual.numpy(), dx_expected))

        loss = fluid.layers.reduce_mean(dx_actual * dx_actual + x * x)
        loss.backward()

        x_grad_actual = x.gradient()
        x_grad_expected = (2.0 / float(numel) *
                           (x_np + dx_expected *
                            (x_np > 0) * 2 / float(numel))).astype('float32')
        self.assertTrue(np.allclose(x_grad_actual, x_grad_expected))

    @dygraph_guard
    def test_example_with_gradient_accumulation_and_no_grad_vars(self):
        x = random_var(self.shape)
        x_np = x.numpy()
        numel = x_np.size
        x.stop_gradient = False

        y1 = fluid.layers.relu(x)
        y2 = fluid.layers.relu(x)
        z = y1 + y2
        w = z * z

        w_mean = fluid.layers.reduce_mean(w)
        del y1, z, w

        dx_actual, = self.grad(
            [w_mean], [x], create_graph=True, no_grad_vars=[y2])

        self.assertFalse(y2.stop_gradient)
        self.assertFalse(dx_actual.stop_gradient)

        dx_expected = (1.0 / float(numel) * (np.maximum(x_np, 0) + y2.numpy()) *
                       (x_np > 0) * 2).astype('float32')
        self.assertTrue(np.allclose(dx_actual.numpy(), dx_expected))

        loss = fluid.layers.reduce_mean(dx_actual * dx_actual + x * x)
        loss.backward()

        x_grad_actual = x.gradient()
        x_grad_expected = (2.0 / float(numel) *
                           (x_np + dx_expected *
                            (x_np > 0) * 4 / float(numel))).astype('float32')
        self.assertTrue(np.allclose(x_grad_actual, x_grad_expected))

    @dygraph_guard
    def test_example_with_gradient_accumulation_and_not_create_graph(self):
        x = random_var(self.shape)
        x_np = x.numpy()
        numel = x_np.size
        x.stop_gradient = False

        y = fluid.layers.relu(x)
        z = y + 1
        w = z * z

        w_mean = fluid.layers.reduce_mean(w)
        del y, z, w

        dx_actual, = self.grad([w_mean], [x], create_graph=False)
        del w_mean

        self.assertTrue(dx_actual.stop_gradient)

        dx_expected = (1.0 / float(numel) * (np.maximum(x_np, 0) + 1) *
                       (x_np > 0) * 2).astype('float32')

        self.assertTrue(np.allclose(dx_actual.numpy(), dx_expected))

        loss = fluid.layers.reduce_mean(dx_actual * dx_actual + x * x)
        loss.backward()

        x_grad_actual = x.gradient()
        x_grad_expected = (2.0 * x_np / float(numel)).astype('float32')
        self.assertTrue(np.allclose(x_grad_actual, x_grad_expected))


class TestDygraphDoubleGradSortGradient(TestDygraphDoubleGrad):
    def setUp(self):
        self.sort_sum_gradient = True
        self.shape = [5, 10]


if __name__ == '__main__':
    unittest.main()