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autograd.cpp
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187 lines (172 loc) · 5.04 KB
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/*******************************************************
* Copyright (c) 2017, ArrayFire
* All rights reserved.
*
* This file is distributed under 3-clause BSD license.
* The complete license agreement can be obtained at:
* http://arrayfire.com/licenses/BSD-3-Clause
********************************************************/
#include <af/autograd.h>
#include <af/nn.h>
#define VERIFY(VAL) do { \
auto res = af::allTrue<bool>(af::abs(VAL) < 1E-5); \
printf("%s:%d %s\n", __FUNCTION__, __LINE__, \
res ? "PASS" : "FAIL"); \
} while(0)
using af::autograd::Variable;
void test_multiply()
{
auto x = Variable(af::randu(5), true);
auto y = x * x;
auto dy = Variable(af::constant(1.0, 5), false);
y.backward(dy);
auto dx = x.grad();
VERIFY(dx.array() - 2 * x.array());
}
void test_multipl_add()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5), true);
auto z = x * x + x * y + y * y;
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dx = x.grad();
auto dy = y.grad();
VERIFY(dx.array() - 2 * x.array() - y.array());
VERIFY(dy.array() - 2 * y.array() - x.array());
}
void test_no_calc_grad()
{
auto x = Variable(af::randu(5), false);
auto y = Variable(af::randu(5), true);
auto z = x * x + x * y + y * y;
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dy = y.grad();
VERIFY(dy.array() - 2 * y.array() - x.array());
try {
auto dx = x.grad();
} catch(af::exception &ex) {
std::cout << ex.what() << std::endl;
return;
}
printf("%s:%d No Gradient check Failed\n");
}
void test_multiply_sub()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5), true);
auto z = x * x - x * y;
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dx = x.grad();
auto dy = y.grad();
VERIFY(dx.array() - (2 * x.array() - y.array()));
VERIFY(dy.array() - (-x.array()));
}
void test_divide_add()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5), true);
auto z = x + x / y + y;
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dx = x.grad();
auto dy = y.grad();
VERIFY(dx.array() - (1.0 + 1.0 / y.array()));
VERIFY(dy.array() - (1.0 - x.array() / (y.array() * y.array())));
}
void test_multiply_add_scalar()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5), true);
auto z = 2 * x + x * y + y;
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dx = x.grad();
auto dy = y.grad();
VERIFY(dx.array() - (2.0 + y.array()));
VERIFY(dy.array() - (1.0 + x.array()));
}
void test_exp()
{
auto x = Variable(af::randu(5), true);
auto y = exp(x);
auto dy = Variable(af::constant(1.0, 5), false);
y.backward(dy);
auto dx = x.grad();
VERIFY(dx.array() - (af::exp(x.array())));
}
void test_sigmoid()
{
auto x = Variable(af::randu(5), true);
auto y = sigmoid(x);
auto dy = Variable(af::constant(1.0, 5), false);
y.backward(dy);
auto dx = x.grad();
VERIFY(dx.array() - (y.array() * (1 - y.array())));
VERIFY(dx.array() - (af::sigmoid(x.array()) * (1 - af::sigmoid(x.array()))));
}
void test_tanh()
{
auto x = Variable(af::randu(5), true);
auto y = tanh(x);
auto dy = Variable(af::constant(1.0, 5), false);
y.backward(dy);
auto dx = x.grad();
VERIFY(dx.array() - (1 - y.array() * y.array()));
VERIFY(dx.array() - (1 + af::tanh(x.array())) * (1 - af::tanh(x.array())));
}
void test_tile()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5, 2), true);
auto z = y * tileAs(x, y);
auto dz = Variable(af::constant(1.0, 5, 2), false);
z.backward(dz);
auto dy = y.grad();
auto dx = x.grad();
VERIFY(dy.array() - af::tile(x.array(), 1, 2));
VERIFY(dx.array() - af::sum(y.array(), 1));
}
void test_sum()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5, 2), true);
auto z = x * sumAs(y, x);
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dy = y.grad();
auto dx = x.grad();
VERIFY(dy.array() - af::tile(x.array(), 1, 2));
VERIFY(dx.array() - af::sum(y.array(), 1));
}
void test_mean()
{
auto x = Variable(af::randu(5), true);
auto y = Variable(af::randu(5, 3, 2), true);
auto z = x * mean(y, {1,2});
auto dz = Variable(af::constant(1.0, 5), false);
z.backward(dz);
auto dy = y.grad();
auto dx = x.grad();
VERIFY(dy.array() - 6 * af::tile(x.array(), 1, 3, 2));
VERIFY(dx.array() - af::mean(af::mean(y.array(), 1), 2));
}
int main()
{
af::info();
test_multiply();
test_multipl_add();
test_no_calc_grad();
test_multiply_sub();
test_divide_add();
test_multiply_add_scalar();
test_exp();
test_sigmoid();
test_tanh();
test_tile();
test_sum();
test_mean();
return 0;
}