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rTAMAAS tamaas
test_fftw.cpp
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/**
* @file
* LICENSE
*
* Copyright (©) 2016-2021 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"
;
}
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