Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F61285190
test_fftw.cpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Sun, May 5, 17:07
Size
7 KB
Mime Type
text/x-c++
Expires
Tue, May 7, 17:07 (1 d, 23 h)
Engine
blob
Format
Raw Data
Handle
17354180
Attached To
rTAMAAS tamaas
test_fftw.cpp
View Options
/*
* SPDX-License-Indentifier: AGPL-3.0-or-later
*
* Copyright (©) 2016-2022 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published
* by the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "fftw/fftw_engine.hh"
#include "grid.hh"
#include "grid_hermitian.hh"
#include "grid_view.hh"
#include "test.hh"
using namespace tamaas;
using fft = fftw::helper<Real>;
/* -------------------------------------------------------------------------- */
template <typename T>
struct span {
T* ptr;
std::size_t size;
~span() { fftw::free(ptr); }
const T* begin() const { return ptr; }
const T* end() const { return ptr + size; }
T* begin() { return ptr; }
T* end() { return ptr + size; }
operator T*() { return ptr; }
};
/* -------------------------------------------------------------------------- */
TEST(TestFFTEngine, FFT1D) {
constexpr UInt size = 1000;
FFTWEngine engine;
span<Real> data{fft::alloc_real(size), size};
span<fft::complex> solution{fft::alloc_complex(size / 2 + 1), size / 2 + 1};
fftw::plan<Real> solution_plan{
fftw::plan_1d_forward(size, data, solution, engine.flags())};
std::iota(data.begin(), data.end(), 0);
fftw::execute(solution_plan);
Grid<Real, 1> grid({size}, 1);
GridHermitian<Real, 1> result({size / 2 + 1}, 1);
std::iota(grid.begin(), grid.end(), 0);
engine.forward(grid, result);
ASSERT_TRUE(compare(result, solution, AreComplexEqual()))
<< "1D FFTW transform failed";
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFT2D) {
constexpr UInt size = 100;
constexpr UInt rsize = size * size;
constexpr UInt csize = size * (size / 2 + 1);
FFTWEngine engine;
span<Real> data{fft::alloc_real(rsize), rsize};
span<fft::complex> solution{fft::alloc_complex(csize), csize};
fftw::plan<Real> solution_plan{
fftw::plan_2d_forward(size, size, data, solution, engine.flags())};
std::iota(data.begin(), data.end(), 0);
fftw::execute(solution_plan);
Grid<Real, 2> grid({size, size}, 1);
GridHermitian<Real, 2> result({size, size / 2 + 1}, 1);
std::iota(grid.begin(), grid.end(), 0);
engine.forward(grid, result);
ASSERT_TRUE(compare(result, solution, AreComplexEqual()))
<< "2D FFTW transform failed";
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFT2DBackwards) {
const std::ptrdiff_t N0 = 20, N1 = 20;
Grid<Real, 2> real({N0, N1}, 1);
GridHermitian<Real, 2> spectral({N0, N1 / 2 + 1}, 1);
real = 1.;
FFTWEngine engine;
engine.forward(real, spectral);
real = 0;
engine.backward(real, spectral);
Grid<Real, 2> reference({N0, N1}, 1);
reference = 1.;
ASSERT_TRUE(compare(real, reference, AreFloatEqual()));
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFT1D2Comp) {
constexpr UInt size = 20;
/// 1D single component FFT should be working here
Grid<Real, 1> grid({size}, 2), data({size}, 1);
std::iota(grid.begin(), grid.end(), 0);
std::iota(data.begin(), data.end(), 0);
GridHermitian<Real, 1> result({size / 2 + 1}, 2), solution({size / 2 + 1}, 1);
FFTWEngine engine;
engine.forward(grid, result);
std::iota(data.begin(), data.end(), 0);
data *= 2;
engine.forward(data, solution);
const Real tol = 200 * std::numeric_limits<Real>::epsilon();
ASSERT_TRUE(
compare(make_component_view(result, 0), solution, AreComplexEqual{tol}))
<< "1D FFTW transform with 2 components failed on 1st component";
data += 1;
engine.forward(data, solution);
ASSERT_TRUE(
compare(make_component_view(result, 1), solution, AreComplexEqual{tol}))
<< "1D FFTW transform with 2 components failed on 2nd component";
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFT2D3Comp) {
constexpr UInt size = 20;
/// 2D single component FFT should be working here
Grid<Real, 2> grid({size, size}, 3), data({size, size}, 1);
std::iota(grid.begin(), grid.end(), 0);
std::iota(data.begin(), data.end(), 0);
data *= 3;
GridHermitian<Real, 2> result({size, size / 2 + 1}, 3),
solution({size, size / 2 + 1}, 1);
FFTWEngine engine;
engine.forward(grid, result);
constexpr Real tol = 5000 * std::numeric_limits<Real>::epsilon();
for (UInt i = 0; i < 3; ++i) {
engine.forward(data, solution);
ASSERT_TRUE(
compare(make_component_view(result, i), solution, AreComplexEqual{tol}))
<< "2D FFTW transform with 3 components failed on " << i
<< "th component";
data += 1;
}
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFT2DViewTransform) {
constexpr UInt size = 20;
Grid<Real, 2> data({size, size}, 1);
GridHermitian<Real, 2> solution({size, size / 2 + 1}, 1);
std::iota(std::begin(data), std::end(data), 0);
FFTWEngine engine;
engine.forward(data, solution);
Grid<Real, 2> grid({size, size}, 3);
auto view = make_component_view(grid, 1);
std::iota(view.begin(), view.end(), 0);
GridHermitian<Real, 2> result({size, size / 2 + 1}, 1);
engine.forward(view, result);
constexpr Real tol = 5000 * std::numeric_limits<Real>::epsilon();
ASSERT_TRUE(compare(result, solution, AreComplexEqual{tol}))
<< "Fourier transform on component view fail";
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFTI1D2Comp) {
constexpr UInt size = 20;
Grid<Real, 1> grid({size}, 2);
std::iota(grid.begin(), grid.end(), 0);
GridHermitian<Real, 1> grid_hermitian({size / 2 + 1}, 2);
Grid<Real, 1> result({size}, 2);
FFTWEngine engine;
engine.forward(grid, grid_hermitian);
engine.backward(result, grid_hermitian);
ASSERT_TRUE(compare(grid, result, AreFloatEqual()))
<< "1D FFTI transform with 2 components failed";
}
/* -------------------------------------------------------------------------- */
TEST(TestFFTWEngine, FFTI2D3Comp) {
constexpr UInt size = 20;
Grid<Real, 2> grid({size, size}, 3);
std::iota(grid.begin(), grid.end(), 0);
GridHermitian<Real, 2> grid_hermitian({size, size / 2 + 1}, 3);
Grid<Real, 2> result({size, size}, 3);
FFTWEngine engine;
engine.forward(grid, grid_hermitian);
engine.backward(result, grid_hermitian);
ASSERT_TRUE(compare(grid, result, AreFloatEqual()))
<< "2D FFTI transform with 3 components failed";
}
Event Timeline
Log In to Comment