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rMUSPECTRE µSpectre
python_projection_tests.py
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#!/usr/bin/env python3
# -*- coding:utf-8 -*-
"""
file python_projection_tests.py
@author Till Junge <till.junge@altermail.ch>
@date 18 Jan 2018
@brief compare µSpectre's projection operators to GooseFFT
@section LICENSE
Copyright © 2018 Till Junge
µSpectre is free software; you can redistribute it and/or
modify it under the terms of the GNU 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 General Public License
along with GNU Emacs; see the file COPYING. If not, write to the
Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA.
"""
import
unittest
import
numpy
as
np
import
itertools
from
python_test_imports
import
µ
from
python_goose_ref
import
SmallStrainProjectionGooseFFT
,
FiniteStrainProjectionGooseFFT
def
build_test_classes
(
Projection
,
RefProjection
,
name
):
class
ProjectionCheck
(
unittest
.
TestCase
):
def
__init__
(
self
,
methodName
=
'runTest'
):
super
()
.
__init__
(
methodName
)
self
.
__class__
.
__qualname__
=
name
def
setUp
(
self
):
self
.
ref
=
RefProjection
self
.
resolution
=
self
.
ref
.
resolution
self
.
ndim
=
self
.
ref
.
ndim
self
.
shape
=
list
((
self
.
resolution
for
_
in
range
(
self
.
ndim
)))
self
.
projection
=
Projection
(
self
.
shape
,
self
.
shape
)
self
.
projection
.
initialise
()
self
.
tol
=
1e-12
*
np
.
prod
(
self
.
shape
)
def
test_CompareGhat4
(
self
):
# refG is rowmajor and the dims are i,j,k,l,x,y(,z)
# reshape refG so they are n² × n² × ¶(resolution)
refG
=
self
.
ref
.
Ghat4
.
reshape
(
self
.
ndim
**
2
,
self
.
ndim
**
2
,
np
.
prod
(
self
.
shape
))
# mspG is colmajor (not sure what that's worth, though) with dims
# ijkl, xy(z)
# reshape mspG so they are ¶(hermitian) × n² × n²
ref_sizes
=
self
.
shape
msp_sizes
=
µ
.
get_hermitian_sizes
(
self
.
shape
)
hermitian_size
=
np
.
prod
(
msp_sizes
)
mspG
=
self
.
projection
.
get_operator
()
#this test only makes sense for fully stored ghats (i.e.,
#not for the faster alternative implementation
if
mspG
.
size
!=
hermitian_size
*
self
.
ndim
**
4
:
return
rando
=
np
.
random
.
random
((
self
.
ndim
,
self
.
ndim
))
for
i
in
range
(
hermitian_size
):
coord
=
µ
.
get_ccoord
(
msp_sizes
,
i
)
ref_id
=
µ
.
get_index
(
ref_sizes
,
coord
)
msp_id
=
µ
.
get_index
(
msp_sizes
,
coord
)
# story behind this order vector:
# There was this issue with the projection operator of
# de Geus acting on the the transpose of the gradient.
order
=
np
.
arange
(
self
.
ndim
**
2
)
.
reshape
(
self
.
ndim
,
self
.
ndim
)
.
T
.
reshape
(
-
1
)
msp_g
=
mspG
[:,
msp_id
]
.
reshape
(
self
.
ndim
**
2
,
self
.
ndim
**
2
)[
order
,
:]
error
=
np
.
linalg
.
norm
(
refG
[:,
:,
ref_id
]
-
msp_g
)
condition
=
error
<
self
.
tol
if
not
condition
:
print
(
"G_µ{}, at index {} =
\n
{}"
.
format
(
coord
,
msp_id
,
msp_g
))
print
(
"G_g{}, at index {} =
\n
{}"
.
format
(
coord
,
ref_id
,
refG
[:,
:,
ref_id
]))
self
.
assertTrue
(
condition
)
def
test_projection_result
(
self
):
# create a bogus strain field in GooseFFT format
# dim × dim × N × N (× N)
strain_shape
=
(
self
.
ndim
,
self
.
ndim
,
*
self
.
shape
)
strain
=
np
.
arange
(
np
.
prod
(
strain_shape
))
.
reshape
(
strain_shape
)
# if we're testing small strain projections, it needs to be symmetric
if
self
.
projection
.
get_formulation
()
==
µ
.
Formulation
.
small_strain
:
strain
+=
strain
.
transpose
(
1
,
0
,
*
range
(
2
,
len
(
strain
.
shape
)))
strain_g
=
strain
.
copy
()
b_g
=
self
.
ref
.
G
(
strain_g
)
.
reshape
(
strain_g
.
shape
)
strain_
µ
=
np
.
zeros
((
*
self
.
shape
,
self
.
ndim
,
self
.
ndim
))
for
ijk
in
itertools
.
product
(
range
(
self
.
resolution
),
repeat
=
self
.
ndim
):
index_
µ
=
tuple
((
*
ijk
,
slice
(
None
),
slice
(
None
)))
index_g
=
tuple
((
slice
(
None
),
slice
(
None
),
*
ijk
))
strain_
µ
[
index_
µ
]
=
strain_g
[
index_g
]
.
T
b_
µ
=
self
.
projection
.
apply_projection
(
strain_
µ
.
reshape
(
np
.
prod
(
self
.
shape
),
self
.
ndim
**
2
)
.
T
)
.
T
.
reshape
(
strain_
µ
.
shape
)
for
ijk
in
itertools
.
product
(
range
(
self
.
resolution
),
repeat
=
self
.
ndim
):
index_
µ
=
tuple
((
*
ijk
,
slice
(
None
),
slice
(
None
)))
index_g
=
tuple
((
slice
(
None
),
slice
(
None
),
*
ijk
))
b_
µ
_sl
=
b_
µ
[
index_
µ
]
.
T
b_g_sl
=
b_g
[
index_g
]
error
=
np
.
linalg
.
norm
(
b_
µ
_sl
-
b_g_sl
)
condition
=
error
<
self
.
tol
slice_printer
=
lambda
tup
:
"({})"
.
format
(
", "
.
join
(
"{}"
.
format
(
":"
if
val
==
slice
(
None
)
else
val
)
for
val
in
tup
))
if
not
condition
:
print
(
"error = {}, tol = {}"
.
format
(
error
,
self
.
tol
))
print
(
"b_µ{} =
\n
{}"
.
format
(
slice_printer
(
index_
µ
),
b_
µ
_sl
))
print
(
"b_g{} =
\n
{}"
.
format
(
slice_printer
(
index_g
),
b_g_sl
))
self
.
assertTrue
(
condition
)
return
ProjectionCheck
get_goose
=
lambda
ndim
,
proj_type
:
proj_type
(
ndim
,
5
,
2
,
70e9
,
.
33
,
3.
)
get_finite_goose
=
lambda
ndim
:
get_goose
(
ndim
,
FiniteStrainProjectionGooseFFT
)
get_small_goose
=
lambda
ndim
:
get_goose
(
ndim
,
SmallStrainProjectionGooseFFT
)
small_default_3
=
build_test_classes
(
µ
.
fft
.
ProjectionSmallStrain_3d
,
get_small_goose
(
3
),
"SmallStrainDefaultProjection3d"
)
small_default_2
=
build_test_classes
(
µ
.
fft
.
ProjectionSmallStrain_2d
,
get_small_goose
(
2
),
"SmallStrainDefaultProjection2d"
)
finite_default_3
=
build_test_classes
(
µ
.
fft
.
ProjectionFiniteStrain_3d
,
get_finite_goose
(
3
),
"FiniteStrainDefaultProjection3d"
)
finite_default_2
=
build_test_classes
(
µ
.
fft
.
ProjectionFiniteStrain_2d
,
get_finite_goose
(
2
),
"FiniteStrainDefaultProjection2d"
)
finite_fast_3
=
build_test_classes
(
µ
.
fft
.
ProjectionFiniteStrainFast_3d
,
get_finite_goose
(
3
),
"FiniteStrainFastProjection3d"
)
finite_fast_2
=
build_test_classes
(
µ
.
fft
.
ProjectionFiniteStrainFast_2d
,
get_finite_goose
(
2
),
"FiniteStrainFastProjection2d"
)
if
__name__
==
"__main__"
:
unittest
.
main
()
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