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rTAMAAS tamaas
test_fft.cpp
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/**
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2017 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Tamaas 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 Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "test.hh"
#include "grid.hh"
#include "grid_hermitian.hh"
#include "fft_plan_manager.hh"
#ifdef USE_PYTHON
#include <pybind11/pybind11.h>
#include <pybind11/embed.h>
#include <pybind11/numpy.h>
#endif
using
namespace
tamaas
;
/* -------------------------------------------------------------------------- */
TEST
(
TestFFTInterface
,
FFT1D
)
{
constexpr
UInt
size
=
20
;
double
data
[
size
]
=
{
0
};
fftw_complex
solution
[
size
/
2
+
1
]
=
{{
0
}};
std
::
iota
(
std
::
begin
(
data
),
std
::
end
(
data
),
0
);
fftw_plan
solution_plan
=
fftw_plan_dft_r2c_1d
(
size
,
data
,
solution
,
FFTW_ESTIMATE
);
fftw_execute
(
solution_plan
);
Grid
<
Real
,
1
>
grid
({
size
},
1
);
std
::
iota
(
grid
.
begin
(),
grid
.
end
(),
0
);
GridHermitian
<
Real
,
1
>
result
({
size
/
2
+
1
},
1
);
FFTPlanManager
::
get
().
createPlan
(
grid
,
result
).
forwardTransform
();
#ifdef USE_CUDA
cudaDeviceSynchronize
();
#endif
ASSERT_TRUE
(
compare
(
result
,
solution
,
AreComplexEqual
()))
<<
"1D FFTW transform failed"
;
fftw_destroy_plan
(
solution_plan
);
FFTPlanManager
::
get
().
destroyPlan
(
grid
,
result
);
}
/* -------------------------------------------------------------------------- */
TEST
(
TestFFTInterface
,
FFT2D
)
{
constexpr
UInt
size
=
10
;
double
data
[
size
*
size
]
=
{
0
};
fftw_complex
solution
[
size
*
(
size
/
2
+
1
)]
=
{{
0
}};
std
::
iota
(
std
::
begin
(
data
),
std
::
end
(
data
),
0
);
fftw_plan
solution_plan
=
fftw_plan_dft_r2c_2d
(
size
,
size
,
data
,
solution
,
FFTW_ESTIMATE
);
fftw_execute
(
solution_plan
);
Grid
<
Real
,
2
>
grid
({
size
,
size
},
1
);
std
::
iota
(
grid
.
begin
(),
grid
.
end
(),
0
);
GridHermitian
<
Real
,
2
>
result
({
size
,
size
/
2
+
1
},
1
);
FFTPlanManager
::
get
().
createPlan
(
grid
,
result
).
forwardTransform
();
#ifdef USE_CUDA
cudaDeviceSynchronize
();
#endif
ASSERT_TRUE
(
compare
(
result
,
solution
,
AreComplexEqual
()))
<<
"2D FFTW transform failed"
;
fftw_destroy_plan
(
solution_plan
);
FFTPlanManager
::
get
().
destroyPlan
(
grid
,
result
);
}
/* -------------------------------------------------------------------------- */
TEST
(
TestFFTInterface
,
FFT1D2Comp
)
{
constexpr
UInt
size
=
20
;
constexpr
UInt
size_c
=
size
/
2
+
1
;
double
data
[
2
*
size
]
=
{
0
};
fftw_complex
solution
[
2
*
size_c
]
=
{{
0
}};
fftw_complex
solution_reordered
[
2
*
size_c
]
=
{{
0
}};
for
(
UInt
i
=
0
;
i
<
size
;
++
i
)
{
data
[
i
]
=
2
*
i
;
data
[
size
+
i
]
=
2
*
i
+
1
;
}
for
(
UInt
i
=
0
;
i
<
2
;
i
++
)
{
fftw_plan
solution_plan
=
fftw_plan_dft_r2c_1d
(
size
,
data
+
i
*
size
,
solution
+
i
*
size_c
,
FFTW_ESTIMATE
);
fftw_execute
(
solution_plan
);
fftw_destroy_plan
(
solution_plan
);
}
for
(
UInt
i
=
0
;
i
<
size_c
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
2
;
++
j
)
{
solution_reordered
[
2
*
i
][
j
]
=
solution
[
i
][
j
];
solution_reordered
[
2
*
i
+
1
][
j
]
=
solution
[
i
+
size_c
][
j
];
}
}
Grid
<
Real
,
1
>
grid
({
size
},
2
);
std
::
iota
(
grid
.
begin
(),
grid
.
end
(),
0
);
GridHermitian
<
Real
,
1
>
result
({
size_c
},
2
);
FFTPlanManager
::
get
().
createPlan
(
grid
,
result
).
forwardTransform
();
#ifdef USE_CUDA
cudaDeviceSynchronize
();
#endif
ASSERT_TRUE
(
compare
(
result
,
solution_reordered
,
AreComplexEqual
()))
<<
\
"1D FFTW transform with 2 components failed"
;
FFTPlanManager
::
get
().
destroyPlan
(
grid
,
result
);
}
/* -------------------------------------------------------------------------- */
TEST
(
TestFFTInterface
,
FFT2D3Comp
)
{
constexpr
UInt
size
=
20
;
constexpr
UInt
size_c
=
size
/
2
+
1
;
double
data
[
3
*
size
*
size
]
=
{
0
};
fftw_complex
solution
[
3
*
size
*
size_c
]
=
{{
0
}};
fftw_complex
solution_reordered
[
3
*
size
*
size_c
]
=
{{
0
}};
for
(
UInt
i
=
0
;
i
<
size
*
size
;
++
i
)
{
data
[
i
]
=
3
*
i
;
data
[
size
*
size
+
i
]
=
3
*
i
+
1
;
data
[
2
*
size
*
size
+
i
]
=
3
*
i
+
2
;
}
for
(
UInt
i
=
0
;
i
<
3
;
i
++
)
{
fftw_plan
solution_plan
=
fftw_plan_dft_r2c_2d
(
size
,
size
,
data
+
i
*
size
*
size
,
solution
+
i
*
size
*
size_c
,
FFTW_ESTIMATE
);
fftw_execute
(
solution_plan
);
fftw_destroy_plan
(
solution_plan
);
}
for
(
UInt
i
=
0
;
i
<
size
*
size_c
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
2
;
++
j
)
{
solution_reordered
[
3
*
i
][
j
]
=
solution
[
i
][
j
];
solution_reordered
[
3
*
i
+
1
][
j
]
=
solution
[
i
+
size
*
size_c
][
j
];
solution_reordered
[
3
*
i
+
2
][
j
]
=
solution
[
i
+
2
*
size
*
size_c
][
j
];
}
}
Grid
<
Real
,
2
>
grid
({
size
,
size
},
3
);
std
::
iota
(
grid
.
begin
(),
grid
.
end
(),
0
);
GridHermitian
<
Real
,
2
>
result
({
size
,
size_c
},
3
);
FFTPlanManager
::
get
().
createPlan
(
grid
,
result
).
forwardTransform
();
#ifdef USE_CUDA
cudaDeviceSynchronize
();
#endif
ASSERT_TRUE
(
compare
(
result
,
solution_reordered
,
AreComplexEqual
()))
<<
\
"2D FFTW transform with 3 components failed"
;
FFTPlanManager
::
get
().
destroyPlan
(
grid
,
result
);
}
/* -------------------------------------------------------------------------- */
TEST
(
TestFFTInterface
,
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
);
FFTPlanManager
::
get
().
createPlan
(
grid
,
grid_hermitian
).
forwardTransform
();
FFTPlanManager
::
get
().
createPlan
(
result
,
grid_hermitian
).
backwardTransform
();
#ifdef USE_CUDA
cudaDeviceSynchronize
();
#endif
ASSERT_TRUE
(
compare
(
grid
,
result
,
AreFloatEqual
()))
<<
\
"1D FFTI transform with 2 components failed"
;
FFTPlanManager
::
get
().
destroyPlan
(
grid
,
grid_hermitian
);
FFTPlanManager
::
get
().
destroyPlan
(
result
,
grid_hermitian
);
}
/* -------------------------------------------------------------------------- */
TEST
(
TestFFTInterface
,
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
);
FFTPlanManager
::
get
().
createPlan
(
grid
,
grid_hermitian
).
forwardTransform
();
FFTPlanManager
::
get
().
createPlan
(
result
,
grid_hermitian
).
backwardTransform
();
#ifdef USE_CUDA
cudaDeviceSynchronize
();
#endif
ASSERT_TRUE
(
compare
(
grid
,
result
,
AreFloatEqual
()))
<<
\
"2D FFTI transform with 3 components failed"
;
FFTPlanManager
::
get
().
destroyPlan
(
grid
,
grid_hermitian
);
FFTPlanManager
::
get
().
destroyPlan
(
result
,
grid_hermitian
);
}
/* -------------------------------------------------------------------------- */
#ifdef USE_PYTHON
namespace
py
=
pybind11
;
TEST
(
TestFFTInterface
,
Frequencies1D
)
{
std
::
array
<
UInt
,
1
>
sizes
=
{{
10
}};
auto
freq
=
FFTransform
<
Real
,
1
>::
computeFrequencies
<
false
>
(
sizes
);
py
::
module
fftfreq
=
py
::
module
::
import
(
"fftfreq"
);
std
::
vector
<
Real
>
reference
(
freq
.
dataSize
());
py
::
array
py_arg
(
reference
.
size
(),
reference
.
data
(),
py
::
none
());
fftfreq
.
attr
(
"frequencies1D"
)(
py_arg
);
ASSERT_TRUE
(
compare
(
reference
,
freq
,
AreFloatEqual
()))
<<
"Non hermitian frequencies are wrong"
;
auto
hfreq
=
FFTransform
<
Real
,
1
>::
computeFrequencies
<
true
>
(
sizes
);
std
::
iota
(
reference
.
begin
(),
reference
.
end
(),
0
);
ASSERT_TRUE
(
compare
(
reference
,
hfreq
,
AreFloatEqual
()))
<<
"Hermitian frequencies are wrong"
;
}
TEST
(
TestFFTInterface
,
Frequencies2D
)
{
std
::
array
<
UInt
,
2
>
sizes
=
{{
10
,
10
}};
auto
freq
=
FFTransform
<
Real
,
2
>::
computeFrequencies
<
false
>
(
sizes
);
py
::
module
fftfreq
=
py
::
module
::
import
(
"fftfreq"
);
std
::
vector
<
Real
>
reference
(
freq
.
dataSize
());
py
::
array
py_arg
({
10
,
10
,
2
},
reference
.
data
(),
py
::
none
());
fftfreq
.
attr
(
"frequencies2D"
)(
py_arg
);
ASSERT_TRUE
(
compare
(
reference
,
freq
,
AreFloatEqual
()))
<<
"Non hermitian frequencies are wrong"
;
auto
hfreq
=
FFTransform
<
Real
,
2
>::
computeFrequencies
<
true
>
(
sizes
);
fftfreq
.
attr
(
"hfrequencies2D"
)(
py_arg
);
ASSERT_TRUE
(
compare
(
reference
,
hfreq
,
AreFloatEqual
()))
<<
"Hermitian frequencies are wrong"
;
}
#endif
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