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test_integrate.cc
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Sun, Aug 25, 07:04
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rAKA akantu
test_integrate.cc
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/**
* @file test_integrate.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 17 2011
* @date last modification: Thu Jun 05 2014
*
* @brief test of the fem class
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu 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.
*
* Akantu 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 Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "fe_engine.hh"
#include "shape_lagrange.hh"
#include "integrator_gauss.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
int
main
(
int
argc
,
char
*
argv
[])
{
akantu
::
initialize
(
argc
,
argv
);
debug
::
setDebugLevel
(
dblTest
);
const
ElementType
type
=
TYPE
;
UInt
dim
=
ElementClass
<
type
>::
getSpatialDimension
();
Real
eps
=
3e-13
;
std
::
cout
<<
"Epsilon : "
<<
eps
<<
std
::
endl
;
Mesh
my_mesh
(
dim
);
std
::
stringstream
meshfilename
;
meshfilename
<<
type
<<
".msh"
;
my_mesh
.
read
(
meshfilename
.
str
());
FEEngine
*
fem
=
new
FEEngineTemplate
<
IntegratorGauss
,
ShapeLagrange
>
(
my_mesh
,
dim
,
"my_fem"
);
fem
->
initShapeFunctions
();
UInt
nb_element
=
my_mesh
.
getNbElement
(
type
);
UInt
nb_quadrature_points
=
fem
->
getNbQuadraturePoints
(
type
)
*
nb_element
;
Array
<
Real
>
const_val
(
fem
->
getMesh
().
getNbNodes
(),
2
,
"const_val"
);
Array
<
Real
>
val_on_quad
(
nb_quadrature_points
,
2
,
"val_on_quad"
);
for
(
UInt
i
=
0
;
i
<
const_val
.
getSize
();
++
i
)
{
const_val
.
storage
()[
i
*
2
+
0
]
=
1.
;
const_val
.
storage
()[
i
*
2
+
1
]
=
2.
;
}
//interpolate function on quadrature points
fem
->
interpolateOnQuadraturePoints
(
const_val
,
val_on_quad
,
2
,
type
);
//integrate function on elements
akantu
::
Array
<
akantu
::
Real
>
int_val_on_elem
(
nb_element
,
2
,
"int_val_on_elem"
);
fem
->
integrate
(
val_on_quad
,
int_val_on_elem
,
2
,
type
);
// get global integration value
Real
value
[
2
]
=
{
0
,
0
};
std
::
cout
<<
"Val on quads : "
<<
val_on_quad
<<
std
::
endl
;
std
::
cout
<<
"Integral on elements : "
<<
int_val_on_elem
<<
std
::
endl
;
for
(
UInt
i
=
0
;
i
<
fem
->
getMesh
().
getNbElement
(
type
);
++
i
)
{
value
[
0
]
+=
int_val_on_elem
.
storage
()[
2
*
i
];
value
[
1
]
+=
int_val_on_elem
.
storage
()[
2
*
i
+
1
];
}
std
::
cout
<<
"integral on the mesh of 1 is "
<<
value
[
0
]
<<
" and of 2 is "
<<
value
[
1
]
<<
std
::
endl
;
delete
fem
;
finalize
();
if
(
!
(
std
::
abs
(
value
[
0
]
-
1.
)
<
eps
&&
std
::
abs
(
value
[
1
]
-
2.
)
<
eps
))
{
std
::
cout
<<
"|1 - "
<<
value
[
0
]
<<
"| = "
<<
std
::
abs
(
value
[
0
]
-
1.
)
<<
std
::
endl
<<
"|2 - "
<<
value
[
1
]
<<
"| = "
<<
std
::
abs
(
value
[
1
]
-
2.
)
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
return
EXIT_SUCCESS
;
}
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