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Baptiste Durand
HO_homog
Commits
ea814ebe
Commit
ea814ebe
authored
Oct 04, 2019
by
Baptiste Durand
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Merge branch 'improve_structure'
parents
46f86d8f
a73b0450
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4
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176 additions
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133 deletions
+176
-133
test/__init__.py
test/__init__.py
+19
-0
test/context.py
test/context.py
+19
-0
test/full_scale_pb_test.py
test/full_scale_pb_test.py
+135
-131
test/geometry_test.py
test/geometry_test.py
+3
-2
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test/__init__.py
0 → 100644
View file @
ea814ebe
# coding: utf8
"""
Created on 12/07/2019
@author: baptiste
Give the individual tests import contex.
Source : https://docs.python-guide.org/writing/structure/#structure-of-the-repository
"""
import
site
from
pathlib
import
Path
cur_dir
=
Path
(
__file__
).
resolve
().
parent
repository_dir
=
cur_dir
.
parent
site
.
addsitedir
(
repository_dir
)
import
ho_homog
test/context.py
0 → 100644
View file @
ea814ebe
# coding: utf8
"""
Created on 12/07/2019
@author: baptiste
Give the individual tests import contex.
Source : https://docs.python-guide.org/writing/structure/#structure-of-the-repository
"""
import
site
from
pathlib
import
Path
cur_dir
=
Path
(
__file__
).
resolve
().
parent
repository_dir
=
cur_dir
.
parent
site
.
addsitedir
(
repository_dir
)
import
ho_homog
test/full_scale_pb_test.py
View file @
ea814ebe
...
...
@@ -6,97 +6,107 @@ Created on 08/04/2019
import
logging
import
dolfin
as
fe
import
ho_homog.
full_scale_pb
as
homog_full
from
context.ho_homog
import
full_scale_pb
as
homog_full
from
pathlib
import
Path
from
pytest
import
approx
fe
.
set_log_level
(
30
)
def
test_reconstruction_vectors
():
logger
=
logging
.
getLogger
(
"test_reconstruction"
)
nb_x
=
nb_y
=
30
L_x
=
2
*
fe
.
pi
L_y
=
2
*
fe
.
pi
mesh
=
fe
.
RectangleMesh
(
fe
.
Point
(
0
,
-
L_y
/
2
),
fe
.
Point
(
L_x
,
L_y
/
2
),
nb_x
,
nb_y
)
elem_type
=
'CG'
L_x
=
2
*
fe
.
pi
L_y
=
2
*
fe
.
pi
mesh
=
fe
.
RectangleMesh
(
fe
.
Point
(
0
,
-
L_y
/
2
),
fe
.
Point
(
L_x
,
L_y
/
2
),
nb_x
,
nb_y
)
elem_type
=
"CG"
degree
=
2
displ_fspace
=
fe
.
VectorFunctionSpace
(
mesh
,
elem_type
,
degree
)
strain_fspace
=
fe
.
FunctionSpace
(
mesh
,
fe
.
VectorElement
(
elem_type
,
mesh
.
ufl_cell
(),
degree
,
dim
=
3
),
)
scalar_fspace
=
fe
.
FunctionSpace
(
mesh
,
fe
.
FiniteElement
(
elem_type
,
mesh
.
ufl_cell
(),
degree
),
)
strain_fspace
=
fe
.
FunctionSpace
(
mesh
,
fe
.
VectorElement
(
elem_type
,
mesh
.
ufl_cell
(),
degree
,
dim
=
3
)
)
scalar_fspace
=
fe
.
FunctionSpace
(
mesh
,
fe
.
FiniteElement
(
elem_type
,
mesh
.
ufl_cell
(),
degree
)
)
macro_fields
=
{
'U'
:
[
fe
.
Expression
(
'0.5*x[0]'
,
degree
=
1
),
0
],
'E'
:
[
fe
.
Expression
(
'0.5'
,
degree
=
0
),
0
,
0
]
"U"
:
[
fe
.
Expression
(
"0.5*x[0]"
,
degree
=
1
),
0
],
"E"
:
[
fe
.
Expression
(
"0.5"
,
degree
=
0
),
0
,
0
],
}
localization_tensors
=
{
'U'
:
{
'u'
:
[
fe
.
interpolate
(
fe
.
Constant
((
1.
,
0.
)),
displ_fspace
).
split
(),
fe
.
interpolate
(
fe
.
Constant
((
0.
,
1.
)),
displ_fspace
).
split
(),
]
,
"U"
:
{
"u"
:
[
fe
.
interpolate
(
fe
.
Constant
((
1.
0
,
0.0
)),
displ_fspace
).
split
(),
fe
.
interpolate
(
fe
.
Constant
((
0.
0
,
1.0
)),
displ_fspace
).
split
(),
]
},
'E'
:
{
'u'
:
[
"E"
:
{
"u"
:
[
[
fe
.
Expression
(
'cos(x[0])'
,
degree
=
2
),
fe
.
Expression
(
'sin(x[1])'
,
degree
=
2
),
fe
.
Expression
(
"cos(x[0])"
,
degree
=
2
),
fe
.
Expression
(
"sin(x[1])"
,
degree
=
2
),
],
[],
[],
],
'eps'
:
[
"eps"
:
[
[
fe
.
Expression
(
'1-sin(x[0])'
,
degree
=
2
),
fe
.
Expression
(
'cos(x[1])'
,
degree
=
2
),
fe
.
Expression
(
"1-sin(x[0])"
,
degree
=
2
),
fe
.
Expression
(
"cos(x[1])"
,
degree
=
2
),
fe
.
Constant
(
value
=
0
),
],
[],
[],
]
}
}
function_spaces
=
{
'u'
:
displ_fspace
,
'eps'
:
strain_fspace
,
],
},
}
function_spaces
=
{
"u"
:
displ_fspace
,
"eps"
:
strain_fspace
}
exact_sol
=
{
'u'
:
fe
.
project
(
fe
.
Expression
(
(
"0.5*x[0] + 0.5*cos(x[0])"
,
"0.5*sin(x[1])"
),
degree
=
2
),
displ_fspace
),
'eps'
:
fe
.
project
(
fe
.
Expression
(
(
" 0.5 - 0.5*sin(x[0])"
,
"0.5*cos(x[1])"
,
"0"
),
degree
=
2
),
strain_fspace
)
"u"
:
fe
.
project
(
fe
.
Expression
((
"0.5*x[0] + 0.5*cos(x[0])"
,
"0.5*sin(x[1])"
),
degree
=
2
),
displ_fspace
,
),
"eps"
:
fe
.
project
(
fe
.
Expression
((
" 0.5 - 0.5*sin(x[0])"
,
"0.5*cos(x[1])"
,
"0"
),
degree
=
2
),
strain_fspace
,
),
}
reconstr_sol
=
homog_full
.
reconstruction
(
localization_tensors
,
macro_fields
,
function_spaces
,
trunc_order
=
1
)
results_file_path
=
Path
(
__file__
).
with_name
(
'test_reconstruction.xdmf'
)
localization_tensors
,
macro_fields
,
function_spaces
,
trunc_order
=
1
)
results_file_path
=
Path
(
__file__
).
with_name
(
"test_reconstruction.xdmf"
)
with
fe
.
XDMFFile
(
str
(
results_file_path
))
as
results_file
:
data
=
[
(
exact_sol
[
'u'
],
'disp_exact'
,
'exact displacement'
),
(
exact_sol
[
'eps'
],
'strain_exact'
,
'exact strain'
),
(
reconstr_sol
[
'u'
],
'disp_reconstruction'
,
'displacement reconstruction'
),
(
reconstr_sol
[
'eps'
],
'strain_reconstruction'
,
'strain reconstruction'
),
(
fe
.
project
(
macro_fields
[
'U'
][
0
],
scalar_fspace
),
'disp_macro'
,
'disp_macro'
),
(
fe
.
project
(
macro_fields
[
'E'
][
0
],
scalar_fspace
),
'strain_macro'
,
'strain_macro'
),
(
exact_sol
[
"u"
],
"disp_exact"
,
"exact displacement"
),
(
exact_sol
[
"eps"
],
"strain_exact"
,
"exact strain"
),
(
reconstr_sol
[
"u"
],
"disp_reconstruction"
,
"displacement reconstruction"
),
(
reconstr_sol
[
"eps"
],
"strain_reconstruction"
,
"strain reconstruction"
),
(
fe
.
project
(
macro_fields
[
"U"
][
0
],
scalar_fspace
),
"disp_macro"
,
"disp_macro"
,
),
(
fe
.
project
(
macro_fields
[
"E"
][
0
],
scalar_fspace
),
"strain_macro"
,
"strain_macro"
,
),
]
results_file
.
parameters
[
"flush_output"
]
=
False
results_file
.
parameters
[
"functions_share_mesh"
]
=
True
for
field
,
name
,
descrpt
in
data
:
field
.
rename
(
name
,
descrpt
)
results_file
.
write
(
field
,
0.
)
results_file
.
write
(
field
,
0.
0
)
for
f_name
in
reconstr_sol
.
keys
():
dim
=
exact_sol
[
f_name
].
ufl_shape
[
0
]
exact_norm
=
fe
.
norm
(
exact_sol
[
f_name
],
'L2'
,
mesh
)
difference
=
fe
.
errornorm
(
exact_sol
[
f_name
],
reconstr_sol
[
f_name
],
'L2'
,
mesh
=
mesh
)
error
=
difference
/
exact_norm
logger
.
debug
(
f
'Relative error for
{
f_name
}
=
{
error
}
'
)
exact_norm
=
fe
.
norm
(
exact_sol
[
f_name
],
"L2"
,
mesh
)
difference
=
fe
.
errornorm
(
exact_sol
[
f_name
],
reconstr_sol
[
f_name
],
"L2"
,
mesh
=
mesh
)
error
=
difference
/
exact_norm
logger
.
debug
(
f
"Relative error for
{
f_name
}
=
{
error
}
"
)
# * ref: Relative errors for u = 3.504e-15; for eps = 2.844e-16
assert
error
==
approx
(
0.
,
abs
=
1e-13
)
assert
error
==
approx
(
0.
0
,
abs
=
1e-13
)
def
test_reconstruction_with_constraint
():
...
...
@@ -105,84 +115,80 @@ def test_reconstruction_with_constraint():
L_x
=
2
L_y
=
2
mesh
=
fe
.
RectangleMesh
(
fe
.
Point
(
-
L_x
/
2
,
-
L_y
/
2
),
fe
.
Point
(
L_x
/
2
,
L_y
/
2
),
nb_x
,
nb_y
)
fe
.
Point
(
-
L_x
/
2
,
-
L_y
/
2
),
fe
.
Point
(
L_x
/
2
,
L_y
/
2
),
nb_x
,
nb_y
)
class
PeriodicDomain
(
fe
.
SubDomain
):
#? Source : https://comet-fenics.readthedocs.io/en/latest/demo/periodic_homog_elas/periodic_homog_elas.html
#
? Source : https://comet-fenics.readthedocs.io/en/latest/demo/periodic_homog_elas/periodic_homog_elas.html
def
__init__
(
self
,
tolerance
=
fe
.
DOLFIN_EPS
):
""" vertices stores the coordinates of the 4 unit cell corners"""
fe
.
SubDomain
.
__init__
(
self
,
tolerance
)
self
.
tol
=
tolerance
def
inside
(
self
,
x
,
on_boundary
):
Bottom
=
fe
.
near
(
x
[
1
],
-
L_y
/
2
,
self
.
tol
)
Bottom
=
fe
.
near
(
x
[
1
],
-
L_y
/
2
,
self
.
tol
)
return
Bottom
and
on_boundary
def
map
(
self
,
x
,
y
):
SlaveT
=
fe
.
near
(
x
[
1
],
L_y
/
2.
,
self
.
tol
)
SlaveT
=
fe
.
near
(
x
[
1
],
L_y
/
2.0
,
self
.
tol
)
if
SlaveT
:
for
i
in
range
(
len
(
x
[:])):
y
[
i
]
=
(
x
[
i
]
-
L_y
)
if
i
==
1
else
x
[
i
]
y
[
i
]
=
(
x
[
i
]
-
L_y
)
if
i
==
1
else
x
[
i
]
else
:
for
i
in
range
(
len
(
x
[:])):
y
[
i
]
=
1000.
*
(
L_x
+
L_y
)
y
[
i
]
=
1000.
0
*
(
L_x
+
L_y
)
pbc
=
PeriodicDomain
()
elem_type
=
'CG'
elem_type
=
"CG"
degree
=
2
scalar_fspace
=
fe
.
FunctionSpace
(
mesh
,
fe
.
FiniteElement
(
elem_type
,
mesh
.
ufl_cell
(),
degree
),
constrained_domain
=
pbc
)
constrained_domain
=
pbc
,
)
macro_fields
=
{
'U'
:
[
fe
.
Expression
(
'0.5*x[0]+x[1]'
,
degree
=
1
)],
'E'
:
[
fe
.
Expression
(
'0.5'
,
degree
=
0
),
fe
.
Expression
(
'1'
,
degree
=
0
)]
"U"
:
[
fe
.
Expression
(
"0.5*x[0]+x[1]"
,
degree
=
1
)],
"E"
:
[
fe
.
Expression
(
"0.5"
,
degree
=
0
),
fe
.
Expression
(
"1"
,
degree
=
0
)],
}
localization_tensors
=
{
'U'
:
{
'u'
:
[
[
fe
.
interpolate
(
fe
.
Constant
(
1.
),
scalar_fspace
)]
],
"U"
:
{
"u"
:
[[
fe
.
interpolate
(
fe
.
Constant
(
1.0
),
scalar_fspace
)]]},
"E"
:
{
"u"
:
[[
fe
.
Expression
(
"x[1]"
,
degree
=
2
)],
[
fe
.
Expression
(
"x[0]"
,
degree
=
2
)]]
},
'E'
:
{
'u'
:
[
[
fe
.
Expression
(
'x[1]'
,
degree
=
2
)],
[
fe
.
Expression
(
'x[0]'
,
degree
=
2
)],
],
}
}
function_spaces
=
{
'u'
:
scalar_fspace
,
}
localization_rules
=
{
'u'
:
[(
'U'
,
'U'
),
(
'E'
,
'E'
)]}
function_spaces
=
{
"u"
:
scalar_fspace
}
localization_rules
=
{
"u"
:
[(
"U"
,
"U"
),
(
"E"
,
"E"
)]}
exact_sol
=
fe
.
project
(
fe
.
Expression
(
"0.5*x[0] + x[1] + 0.5*x[1] + 1.*x[0]"
,
degree
=
2
),
scalar_fspace
)
exact_sol
=
fe
.
project
(
fe
.
Expression
(
"0.5*x[0] + x[1] + 0.5*x[1] + 1.*x[0]"
,
degree
=
2
),
scalar_fspace
)
reconstr_sol
=
homog_full
.
reconstruction
(
localization_tensors
,
macro_fields
,
function_spaces
,
localization_rules
=
localization_rules
,
output_request
=
(
'u'
,))
reconstr_sol
=
reconstr_sol
[
'u'
]
results_file_path
=
Path
(
__file__
).
with_name
(
'test_reconstruction_constraint.xdmf'
)
localization_tensors
,
macro_fields
,
function_spaces
,
localization_rules
=
localization_rules
,
output_request
=
(
"u"
,),
)
reconstr_sol
=
reconstr_sol
[
"u"
]
results_file_path
=
Path
(
__file__
).
with_name
(
"test_reconstruction_constraint.xdmf"
)
with
fe
.
XDMFFile
(
str
(
results_file_path
))
as
results_file
:
data
=
[
(
exact_sol
,
'sol_exact'
,
'exact solution field'
),
(
reconstr_sol
,
'sol_reconstructed'
,
'reconstructed solution field'
),
(
exact_sol
,
"sol_exact"
,
"exact solution field"
),
(
reconstr_sol
,
"sol_reconstructed"
,
"reconstructed solution field"
),
]
results_file
.
parameters
[
"flush_output"
]
=
False
results_file
.
parameters
[
"functions_share_mesh"
]
=
True
for
field
,
name
,
descrpt
in
data
:
field
.
rename
(
name
,
descrpt
)
results_file
.
write
(
field
,
0.
)
exact_norm
=
fe
.
norm
(
exact_sol
,
'L2'
,
mesh
)
difference
=
fe
.
errornorm
(
exact_sol
,
reconstr_sol
,
'L2'
,
mesh
=
mesh
)
error
=
difference
/
exact_norm
logger
.
debug
(
f
'Relative error =
{
error
}
'
)
# * ref: 3.2625e-15
assert
error
==
approx
(
0.
,
abs
=
1e-14
)
results_file
.
write
(
field
,
0.0
)
exact_norm
=
fe
.
norm
(
exact_sol
,
"L2"
,
mesh
)
difference
=
fe
.
errornorm
(
exact_sol
,
reconstr_sol
,
"L2"
,
mesh
=
mesh
)
error
=
difference
/
exact_norm
logger
.
debug
(
f
"Relative error =
{
error
}
"
)
# * ref: 3.2625e-15
assert
error
==
approx
(
0.0
,
abs
=
1e-14
)
def
test_select_solver
():
"The solver Mumps is selected."
...
...
@@ -191,9 +197,8 @@ def test_select_solver():
L_x
=
2
L_y
=
2
mesh
=
fe
.
RectangleMesh
(
fe
.
Point
(
-
L_x
/
2
,
-
L_y
/
2
),
fe
.
Point
(
L_x
/
2
,
L_y
/
2
),
nb_x
,
nb_y
)
fe
.
Point
(
-
L_x
/
2
,
-
L_y
/
2
),
fe
.
Point
(
L_x
/
2
,
L_y
/
2
),
nb_x
,
nb_y
)
class
PeriodicDomain
(
fe
.
SubDomain
):
def
__init__
(
self
,
tolerance
=
fe
.
DOLFIN_EPS
):
...
...
@@ -202,65 +207,64 @@ def test_select_solver():
self
.
tol
=
tolerance
def
inside
(
self
,
x
,
on_boundary
):
Bottom
=
fe
.
near
(
x
[
1
],
-
L_y
/
2
,
self
.
tol
)
Bottom
=
fe
.
near
(
x
[
1
],
-
L_y
/
2
,
self
.
tol
)
return
Bottom
and
on_boundary
def
map
(
self
,
x
,
y
):
SlaveT
=
fe
.
near
(
x
[
1
],
L_y
/
2.
,
self
.
tol
)
SlaveT
=
fe
.
near
(
x
[
1
],
L_y
/
2.0
,
self
.
tol
)
if
SlaveT
:
for
i
in
range
(
len
(
x
[:])):
y
[
i
]
=
(
x
[
i
]
-
L_y
)
if
i
==
1
else
x
[
i
]
y
[
i
]
=
(
x
[
i
]
-
L_y
)
if
i
==
1
else
x
[
i
]
else
:
for
i
in
range
(
len
(
x
[:])):
y
[
i
]
=
1000.
*
(
L_x
+
L_y
)
y
[
i
]
=
1000.
0
*
(
L_x
+
L_y
)
pbc
=
PeriodicDomain
()
scalar_fspace
=
fe
.
FunctionSpace
(
mesh
,
fe
.
FiniteElement
(
'CG'
,
mesh
.
ufl_cell
(),
2
),
constrained_domain
=
pbc
)
mesh
,
fe
.
FiniteElement
(
"CG"
,
mesh
.
ufl_cell
(),
2
),
constrained_domain
=
pbc
)
macro_fields
=
{
'U'
:
[
fe
.
Expression
(
'0.5*x[0]+x[1]'
,
degree
=
1
)],
'E'
:
[
fe
.
Expression
(
'0.5'
,
degree
=
0
),
fe
.
Expression
(
'1'
,
degree
=
0
)]
"U"
:
[
fe
.
Expression
(
"0.5*x[0]+x[1]"
,
degree
=
1
)],
"E"
:
[
fe
.
Expression
(
"0.5"
,
degree
=
0
),
fe
.
Expression
(
"1"
,
degree
=
0
)],
}
localization_tensors
=
{
'U'
:
{
'u'
:
[
[
fe
.
interpolate
(
fe
.
Constant
(
1.
),
scalar_fspace
)]
],
"U"
:
{
"u"
:
[[
fe
.
interpolate
(
fe
.
Constant
(
1.0
),
scalar_fspace
)]]},
"E"
:
{
"u"
:
[[
fe
.
Expression
(
"x[1]"
,
degree
=
2
)],
[
fe
.
Expression
(
"x[0]"
,
degree
=
2
)]]
},
'E'
:
{
'u'
:
[
[
fe
.
Expression
(
'x[1]'
,
degree
=
2
)],
[
fe
.
Expression
(
'x[0]'
,
degree
=
2
)],
],
}
}
function_spaces
=
{
'u'
:
scalar_fspace
}
localization_rules
=
{
'u'
:
[(
'U'
,
'U'
),
(
'E'
,
'E'
)]}
exact_sol
=
fe
.
project
(
fe
.
Expression
(
"0.5*x[0] + x[1] + 0.5*x[1] + 1.*x[0]"
,
degree
=
2
),
scalar_fspace
)
function_spaces
=
{
"u"
:
scalar_fspace
}
localization_rules
=
{
"u"
:
[(
"U"
,
"U"
),
(
"E"
,
"E"
)]}
exact_sol
=
fe
.
project
(
fe
.
Expression
(
"0.5*x[0] + x[1] + 0.5*x[1] + 1.*x[0]"
,
degree
=
2
),
scalar_fspace
)
reconstr_sol
=
homog_full
.
reconstruction
(
localization_tensors
,
macro_fields
,
function_spaces
,
localization_rules
=
localization_rules
,
output_request
=
(
'u'
,),
proj_solver
=
"mumps"
)
reconstr_sol
=
reconstr_sol
[
'u'
]
exact_norm
=
fe
.
norm
(
exact_sol
,
'L2'
,
mesh
)
difference
=
fe
.
errornorm
(
exact_sol
,
reconstr_sol
,
'L2'
,
mesh
=
mesh
)
error
=
difference
/
exact_norm
logger
.
debug
(
f
'Relative error =
{
error
}
'
)
#* ref: 3.2625e-15
assert
error
==
approx
(
0.
,
abs
=
1e-14
)
localization_tensors
,
macro_fields
,
function_spaces
,
localization_rules
=
localization_rules
,
output_request
=
(
"u"
,),
proj_solver
=
"mumps"
,
)
reconstr_sol
=
reconstr_sol
[
"u"
]
exact_norm
=
fe
.
norm
(
exact_sol
,
"L2"
,
mesh
)
difference
=
fe
.
errornorm
(
exact_sol
,
reconstr_sol
,
"L2"
,
mesh
=
mesh
)
error
=
difference
/
exact_norm
logger
.
debug
(
f
"Relative error =
{
error
}
"
)
# * ref: 3.2625e-15
assert
error
==
approx
(
0.0
,
abs
=
1e-14
)
if
__name__
==
"__main__"
:
logger_root
=
logging
.
getLogger
()
logger_root
.
setLevel
(
logging
.
DEBUG
)
formatter
=
logging
.
Formatter
(
'%(asctime)s :: %(levelname)s :: %(message)s'
,
"%H:%M"
)
formatter
=
logging
.
Formatter
(
"%(asctime)s :: %(levelname)s :: %(message)s"
,
"%H:%M"
)
stream_handler
=
logging
.
StreamHandler
()
stream_handler
.
setLevel
(
logging
.
DEBUG
)
stream_handler
.
setFormatter
(
formatter
)
logger_root
.
addHandler
(
stream_handler
)
test_reconstruction_vectors
()
test_reconstruction_with_constraint
()
\ No newline at end of file
test_reconstruction_with_constraint
()
test/geometry_test.py
View file @
ea814ebe
...
...
@@ -6,7 +6,7 @@ Created on Mon Oct 15 11:00:18 2018
"""
import
os
import
ho_homog.geometry
as
geo
from
.context
import
ho_homog
import
math
import
numpy
as
np
import
matplotlib.pyplot
as
plt
...
...
@@ -16,6 +16,8 @@ from logging.handlers import RotatingFileHandler
import
gmsh
geo
=
ho_homog
.
geometry
# nice shortcuts
model
=
gmsh
.
model
factory
=
model
.
occ
...
...
@@ -502,7 +504,6 @@ def test_ll_modif():
os
.
system
(
"gmsh %s.msh &"
%
name
)
def
test_gather_line
():
"""
Test of the macro_line_fragments function.
...
...
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