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python_fft_tests.py
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rMUSPECTRE µSpectre
python_fft_tests.py
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#!/usr/bin/env python3
# -*- coding:utf-8 -*-
"""
file python_fft_tests.py
@author Till Junge <till.junge@altermail.ch>
@date 17 Jan 2018
@brief Compare µSpectre's fft implementations to numpy reference
@section LICENSE
Copyright © 2018 Till Junge
µSpectre 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, or (at
your option) any later version.
µSpectre 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
General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with µSpectre; see the file COPYING. If not, write to the
Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA.
Additional permission under GNU GPL version 3 section 7
If you modify this Program, or any covered work, by linking or combining it
with proprietary FFT implementations or numerical libraries, containing parts
covered by the terms of those libraries' licenses, the licensors of this
Program grant you additional permission to convey the resulting work.
"""
import
unittest
import
numpy
as
np
from
python_test_imports
import
µ
try
:
from
mpi4py
import
MPI
comm
=
MPI
.
COMM_WORLD
except
ImportError
:
comm
=
None
class
FFT_Check
(
unittest
.
TestCase
):
def
setUp
(
self
):
self
.
resolution
=
[
6
,
4
]
self
.
dim
=
len
(
self
.
resolution
)
self
.
engines
=
[(
'fftw'
,
False
),
(
'fftwmpi'
,
True
),
(
'pfft'
,
True
)]
self
.
tol
=
1e-14
*
np
.
prod
(
self
.
resolution
)
def
test_forward_transform
(
self
):
for
engine_str
,
transposed
in
self
.
engines
:
try
:
engine
=
µ
.
fft
.
FFT
(
self
.
resolution
,
self
.
dim
**
2
,
fft
=
engine_str
)
except
KeyError
:
# This FFT engine has not been compiled into the code. Skip
# test.
continue
engine
.
initialise
()
in_arr
=
np
.
random
.
random
([
*
self
.
resolution
,
self
.
dim
,
self
.
dim
])
out_ref
=
np
.
fft
.
rfftn
(
in_arr
,
axes
=
(
0
,
1
))
if
transposed
:
out_ref
=
out_ref
.
swapaxes
(
0
,
1
)
out_msp
=
engine
.
fft
(
in_arr
.
reshape
(
-
1
,
self
.
dim
**
2
)
.
T
)
.
T
err
=
np
.
linalg
.
norm
(
out_ref
-
out_msp
.
reshape
(
out_ref
.
shape
))
self
.
assertTrue
(
err
<
self
.
tol
)
def
test_reverse_transform
(
self
):
for
engine_str
,
transposed
in
self
.
engines
:
try
:
engine
=
µ
.
fft
.
FFT
(
self
.
resolution
,
self
.
dim
**
2
,
fft
=
engine_str
)
except
KeyError
:
# This FFT engine has not been compiled into the code. Skip
# test.
continue
engine
.
initialise
()
complex_res
=
µ
.
get_hermitian_sizes
(
self
.
resolution
)
in_arr
=
np
.
zeros
([
*
complex_res
,
self
.
dim
,
self
.
dim
],
dtype
=
complex
)
in_arr
.
real
=
np
.
random
.
random
(
in_arr
.
shape
)
in_arr
.
imag
=
np
.
random
.
random
(
in_arr
.
shape
)
out_ref
=
np
.
fft
.
irfftn
(
in_arr
,
axes
=
(
0
,
1
))
if
transposed
:
in_arr
=
in_arr
.
swapaxes
(
0
,
1
)
out_msp
=
engine
.
ifft
(
in_arr
.
reshape
(
-
1
,
self
.
dim
**
2
)
.
T
)
.
T
out_msp
*=
engine
.
normalisation
()
err
=
np
.
linalg
.
norm
(
out_ref
-
out_msp
.
reshape
(
out_ref
.
shape
))
self
.
assertTrue
(
err
<
self
.
tol
)
if
__name__
==
'__main__'
:
unittest
.
main
()
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