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integrator_gauss_igfem_inline_impl.hh
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rAKA akantu
integrator_gauss_igfem_inline_impl.hh
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/**
* @file integrator_gauss_igfem.hh
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
*
* @brief Inline functions of gauss integrator for the case of IGFEM
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
}
// namespace akantu
#include "fe_engine.hh"
#if defined(AKANTU_DEBUG_TOOLS)
#include "aka_debug_tools.hh"
#endif
namespace
akantu
{
/* -------------------------------------------------------------------------- */
#define INIT_INTEGRATOR(type) \
computeQuadraturePoints<type>(ghost_type); \
precomputeJacobiansOnQuadraturePoints<type>(nodes, ghost_type); \
checkJacobians<type>(ghost_type);
template
<
class
IOF
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
initIntegrator
(
const
Array
<
Real
>
&
nodes
,
ElementType
type
,
GhostType
ghost_type
)
{
AKANTU_BOOST_IGFEM_ELEMENT_SWITCH
(
INIT_INTEGRATOR
);
}
#undef INIT_INTEGRATOR
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
UInt
IntegratorGauss
<
_ek_igfem
,
IOF
>::
getNbIntegrationPoints
(
GhostType
)
const
{
const
ElementType
sub_type_1
=
ElementClassProperty
<
type
>::
sub_element_type_1
;
const
ElementType
sub_type_2
=
ElementClassProperty
<
type
>::
sub_element_type_2
;
UInt
nb_quad_points_sub_1
=
GaussIntegrationElement
<
sub_type_1
>::
getNbQuadraturePoints
();
UInt
nb_quad_points_sub_2
=
GaussIntegrationElement
<
sub_type_2
>::
getNbQuadraturePoints
();
return
(
nb_quad_points_sub_1
+
nb_quad_points_sub_2
);
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
integrateOnElement
(
const
Array
<
Real
>
&
f
,
Real
*
intf
,
UInt
nb_degree_of_freedom
,
const
UInt
elem
,
GhostType
ghost_type
)
const
{
Array
<
Real
>
&
jac_loc
=
jacobians
(
type
,
ghost_type
);
UInt
nb_quadrature_points
=
getNbIntegrationPoints
<
type
>
();
AKANTU_DEBUG_ASSERT
(
f
.
getNbComponent
()
==
nb_degree_of_freedom
,
"The vector f do not have the good number of component."
);
Real
*
f_val
=
f
.
storage
()
+
elem
*
f
.
getNbComponent
();
Real
*
jac_val
=
jac_loc
.
storage
()
+
elem
*
nb_quadrature_points
;
integrate
(
f_val
,
jac_val
,
intf
,
nb_degree_of_freedom
,
nb_quadrature_points
);
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
Real
IntegratorGauss
<
_ek_igfem
,
IOF
>::
integrate
(
const
Vector
<
Real
>
&
in_f
,
UInt
index
,
GhostType
ghost_type
)
const
{
const
Array
<
Real
>
&
jac_loc
=
jacobians
(
type
,
ghost_type
);
UInt
nb_quadrature_points
=
getNbIntegrationPoints
<
type
>
();
AKANTU_DEBUG_ASSERT
(
in_f
.
size
()
==
nb_quadrature_points
,
"The vector f do not have nb_quadrature_points entries."
);
Real
*
jac_val
=
jac_loc
.
storage
()
+
index
*
nb_quadrature_points
;
Real
intf
;
integrate
(
in_f
.
storage
(),
jac_val
,
&
intf
,
1
,
nb_quadrature_points
);
return
intf
;
return
0.
;
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
integrate
(
Real
*
f
,
Real
*
jac
,
Real
*
inte
,
UInt
nb_degree_of_freedom
,
UInt
nb_quadrature_points
)
const
{
memset
(
inte
,
0
,
nb_degree_of_freedom
*
sizeof
(
Real
));
Real
*
cjac
=
jac
;
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
)
{
for
(
UInt
dof
=
0
;
dof
<
nb_degree_of_freedom
;
++
dof
)
{
inte
[
dof
]
+=
*
f
*
*
cjac
;
++
f
;
}
++
cjac
;
}
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
const
Matrix
<
Real
>
&
IntegratorGauss
<
_ek_igfem
,
IOF
>::
getIntegrationPoints
(
GhostType
ghost_type
)
const
{
AKANTU_DEBUG_ASSERT
(
quadrature_points
.
exists
(
type
,
ghost_type
),
"Quadrature points for type "
<<
quadrature_points
.
printType
(
type
,
ghost_type
)
<<
" have not been initialized."
<<
" Did you use 'computeQuadraturePoints' function ?"
);
return
quadrature_points
(
type
,
ghost_type
);
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
computeQuadraturePoints
(
GhostType
ghost_type
)
{
/// typedef for the two subelement_types and the parent element type
const
ElementType
sub_type_1
=
ElementClassProperty
<
type
>::
sub_element_type_1
;
const
ElementType
sub_type_2
=
ElementClassProperty
<
type
>::
sub_element_type_2
;
/// store the quadrature points on the two subelements
Matrix
<
Real
>
&
quads_sub_1
=
quadrature_points
(
sub_type_1
,
ghost_type
);
Matrix
<
Real
>
&
quads_sub_2
=
quadrature_points
(
sub_type_2
,
ghost_type
);
quads_sub_1
=
GaussIntegrationElement
<
sub_type_1
>::
getQuadraturePoints
();
quads_sub_2
=
GaussIntegrationElement
<
sub_type_2
>::
getQuadraturePoints
();
/// store all quad points for the current type
UInt
nb_quad_points_sub_1
=
GaussIntegrationElement
<
sub_type_1
>::
getNbQuadraturePoints
();
UInt
nb_quad_points_sub_2
=
GaussIntegrationElement
<
sub_type_2
>::
getNbQuadraturePoints
();
UInt
spatial_dimension
=
mesh
.
getSpatialDimension
();
Matrix
<
Real
>
&
quads
=
quadrature_points
(
type
,
ghost_type
);
quads
=
Matrix
<
Real
>
(
spatial_dimension
,
nb_quad_points_sub_1
+
nb_quad_points_sub_2
);
Matrix
<
Real
>
quads_1
(
quads
.
storage
(),
quads
.
rows
(),
nb_quad_points_sub_1
);
quads_1
=
quads_sub_1
;
Matrix
<
Real
>
quads_2
(
quads
.
storage
()
+
quads
.
rows
()
*
nb_quad_points_sub_1
,
quads
.
rows
(),
nb_quad_points_sub_2
);
quads_2
=
quads_sub_2
;
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
computeJacobianOnQuadPointsByElement
(
const
Matrix
<
Real
>
&
node_coords
,
Vector
<
Real
>
&
jacobians
)
{
/// optimize: get the matrix from the ElementTypeMap
Matrix
<
Real
>
quad
=
GaussIntegrationElement
<
type
>::
getQuadraturePoints
();
// jacobian
ElementClass
<
type
>::
computeJacobian
(
quad
,
node_coords
,
jacobians
);
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
inline
IntegratorGauss
<
_ek_igfem
,
IOF
>::
IntegratorGauss
(
const
Mesh
&
mesh
,
const
ID
&
id
)
:
Integrator
(
mesh
,
id
)
{
AKANTU_DEBUG_IN
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
checkJacobians
(
GhostType
ghost_type
)
const
{
AKANTU_DEBUG_IN
();
/// typedef for the two subelement_types and the parent element type
const
ElementType
sub_type_1
=
ElementClassProperty
<
type
>::
sub_element_type_1
;
const
ElementType
sub_type_2
=
ElementClassProperty
<
type
>::
sub_element_type_2
;
UInt
nb_quad_points_sub_1
=
GaussIntegrationElement
<
sub_type_1
>::
getNbQuadraturePoints
();
UInt
nb_quad_points_sub_2
=
GaussIntegrationElement
<
sub_type_2
>::
getNbQuadraturePoints
();
UInt
nb_quadrature_points
=
nb_quad_points_sub_1
+
nb_quad_points_sub_2
;
UInt
nb_element
;
nb_element
=
mesh
.
getConnectivity
(
type
,
ghost_type
).
getSize
();
Real
*
jacobians_val
=
jacobians
(
type
,
ghost_type
).
storage
();
for
(
UInt
i
=
0
;
i
<
nb_element
*
nb_quadrature_points
;
++
i
,
++
jacobians_val
)
{
if
(
*
jacobians_val
<
0
)
AKANTU_ERROR
(
"Negative jacobian computed,"
<<
" possible problem in the element node ordering (Quadrature Point "
<<
i
%
nb_quadrature_points
<<
":"
<<
i
/
nb_quadrature_points
<<
":"
<<
type
<<
":"
<<
ghost_type
<<
")"
);
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
precomputeJacobiansOnQuadraturePoints
(
const
Array
<
Real
>
&
nodes
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
/// typedef for the two subelement_types and the parent element type
const
ElementType
sub_type_1
=
ElementClassProperty
<
type
>::
sub_element_type_1
;
const
ElementType
sub_type_2
=
ElementClassProperty
<
type
>::
sub_element_type_2
;
UInt
spatial_dimension
=
mesh
.
getSpatialDimension
();
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
/// get the number of nodes for the subelements and the parent element
UInt
nb_nodes_sub_1
=
ElementClass
<
sub_type_1
>::
getNbNodesPerInterpolationElement
();
UInt
nb_nodes_sub_2
=
ElementClass
<
sub_type_2
>::
getNbNodesPerInterpolationElement
();
UInt
nb_quadrature_points_sub_1
=
GaussIntegrationElement
<
sub_type_1
>::
getNbQuadraturePoints
();
UInt
nb_quadrature_points_sub_2
=
GaussIntegrationElement
<
sub_type_2
>::
getNbQuadraturePoints
();
UInt
nb_quadrature_points
=
nb_quadrature_points_sub_1
+
nb_quadrature_points_sub_2
;
UInt
nb_element
=
mesh
.
getNbElement
(
type
,
ghost_type
);
Array
<
Real
>
*
jacobians_tmp
;
if
(
!
jacobians
.
exists
(
type
,
ghost_type
))
jacobians_tmp
=
&
jacobians
.
alloc
(
nb_element
*
nb_quadrature_points
,
1
,
type
,
ghost_type
);
else
{
jacobians_tmp
=
&
jacobians
(
type
,
ghost_type
);
jacobians_tmp
->
resize
(
nb_element
*
nb_quadrature_points
);
}
Array
<
Real
>::
vector_iterator
jacobians_it
=
jacobians_tmp
->
begin_reinterpret
(
nb_quadrature_points
,
nb_element
);
Vector
<
Real
>
weights_sub_1
=
GaussIntegrationElement
<
sub_type_1
>::
getWeights
();
Vector
<
Real
>
weights_sub_2
=
GaussIntegrationElement
<
sub_type_2
>::
getWeights
();
Array
<
Real
>
x_el
(
0
,
spatial_dimension
*
nb_nodes_per_element
);
FEEngine
::
extractNodalToElementField
(
mesh
,
nodes
,
x_el
,
type
,
ghost_type
);
Array
<
Real
>::
const_matrix_iterator
x_it
=
x_el
.
begin
(
spatial_dimension
,
nb_nodes_per_element
);
// Matrix<Real> local_coord(spatial_dimension, nb_nodes_per_element);
for
(
UInt
elem
=
0
;
elem
<
nb_element
;
++
elem
,
++
jacobians_it
,
++
x_it
)
{
const
Matrix
<
Real
>
&
X
=
*
x_it
;
Matrix
<
Real
>
sub_1_coords
(
spatial_dimension
,
nb_nodes_sub_1
);
Matrix
<
Real
>
sub_2_coords
(
spatial_dimension
,
nb_nodes_sub_2
);
ElementClass
<
type
>::
getSubElementCoords
(
X
,
sub_1_coords
,
0
);
ElementClass
<
type
>::
getSubElementCoords
(
X
,
sub_2_coords
,
1
);
Vector
<
Real
>
&
J
=
*
jacobians_it
;
/// initialize vectors to store the jacobians for each subelement
Vector
<
Real
>
J_sub_1
(
nb_quadrature_points_sub_1
);
Vector
<
Real
>
J_sub_2
(
nb_quadrature_points_sub_2
);
computeJacobianOnQuadPointsByElement
<
sub_type_1
>
(
sub_1_coords
,
J_sub_1
);
computeJacobianOnQuadPointsByElement
<
sub_type_2
>
(
sub_2_coords
,
J_sub_2
);
J_sub_1
*=
weights_sub_1
;
J_sub_2
*=
weights_sub_2
;
/// copy results into the jacobian vector for this element
for
(
UInt
i
=
0
;
i
<
nb_quadrature_points_sub_1
;
++
i
)
{
J
(
i
)
=
J_sub_1
(
i
);
}
for
(
UInt
i
=
0
;
i
<
nb_quadrature_points_sub_2
;
++
i
)
{
J
(
i
+
nb_quadrature_points_sub_1
)
=
J_sub_2
(
i
);
}
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
integrate
(
const
Array
<
Real
>
&
in_f
,
Array
<
Real
>
&
intf
,
UInt
nb_degree_of_freedom
,
GhostType
ghost_type
,
const
Array
<
UInt
>
&
filter_elements
)
const
{
AKANTU_DEBUG_IN
();
AKANTU_DEBUG_ASSERT
(
jacobians
.
exists
(
type
,
ghost_type
),
"No jacobians for the type "
<<
jacobians
.
printType
(
type
,
ghost_type
));
const
Matrix
<
Real
>
&
quads
=
quadrature_points
(
type
,
ghost_type
);
UInt
nb_points
=
quads
.
cols
();
const
Array
<
Real
>
&
jac_loc
=
jacobians
(
type
,
ghost_type
);
Array
<
Real
>::
const_matrix_iterator
J_it
;
Array
<
Real
>::
matrix_iterator
inte_it
;
Array
<
Real
>::
const_matrix_iterator
f_it
;
UInt
nb_element
;
Array
<
Real
>
*
filtered_J
=
NULL
;
if
(
filter_elements
!=
empty_filter
)
{
nb_element
=
filter_elements
.
getSize
();
filtered_J
=
new
Array
<
Real
>
(
0
,
jac_loc
.
getNbComponent
());
FEEngine
::
filterElementalData
(
mesh
,
jac_loc
,
*
filtered_J
,
type
,
ghost_type
,
filter_elements
);
const
Array
<
Real
>
&
cfiltered_J
=
*
filtered_J
;
// \todo temporary patch
J_it
=
cfiltered_J
.
begin_reinterpret
(
nb_points
,
1
,
nb_element
);
}
else
{
nb_element
=
mesh
.
getNbElement
(
type
,
ghost_type
);
J_it
=
jac_loc
.
begin_reinterpret
(
nb_points
,
1
,
nb_element
);
}
intf
.
resize
(
nb_element
);
f_it
=
in_f
.
begin_reinterpret
(
nb_degree_of_freedom
,
nb_points
,
nb_element
);
inte_it
=
intf
.
begin_reinterpret
(
nb_degree_of_freedom
,
1
,
nb_element
);
for
(
UInt
el
=
0
;
el
<
nb_element
;
++
el
,
++
J_it
,
++
f_it
,
++
inte_it
)
{
const
Matrix
<
Real
>
&
f
=
*
f_it
;
const
Matrix
<
Real
>
&
J
=
*
J_it
;
Matrix
<
Real
>
&
inte_f
=
*
inte_it
;
inte_f
.
mul
<
false
,
false
>
(
f
,
J
);
}
delete
filtered_J
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
Real
IntegratorGauss
<
_ek_igfem
,
IOF
>::
integrate
(
const
Array
<
Real
>
&
in_f
,
GhostType
ghost_type
,
const
Array
<
UInt
>
&
filter_elements
)
const
{
AKANTU_DEBUG_IN
();
AKANTU_DEBUG_ASSERT
(
jacobians
.
exists
(
type
,
ghost_type
),
"No jacobians for the type "
<<
jacobians
.
printType
(
type
,
ghost_type
));
Array
<
Real
>
intfv
(
0
,
1
);
integrate
<
type
>
(
in_f
,
intfv
,
1
,
ghost_type
,
filter_elements
);
UInt
nb_values
=
intfv
.
getSize
();
if
(
nb_values
==
0
)
return
0.
;
UInt
nb_values_to_sum
=
nb_values
>>
1
;
std
::
sort
(
intfv
.
begin
(),
intfv
.
end
());
// as long as the half is not empty
while
(
nb_values_to_sum
)
{
UInt
remaining
=
(
nb_values
-
2
*
nb_values_to_sum
);
if
(
remaining
)
intfv
(
nb_values
-
2
)
+=
intfv
(
nb_values
-
1
);
// sum to consecutive values and store the sum in the first half
for
(
UInt
i
=
0
;
i
<
nb_values_to_sum
;
++
i
)
{
intfv
(
i
)
=
intfv
(
2
*
i
)
+
intfv
(
2
*
i
+
1
);
}
nb_values
=
nb_values_to_sum
;
nb_values_to_sum
>>=
1
;
}
AKANTU_DEBUG_OUT
();
return
intfv
(
0
);
}
/* -------------------------------------------------------------------------- */
template
<
class
IOF
>
template
<
ElementType
type
>
inline
void
IntegratorGauss
<
_ek_igfem
,
IOF
>::
integrateOnIntegrationPoints
(
const
Array
<
Real
>
&
in_f
,
Array
<
Real
>
&
intf
,
UInt
nb_degree_of_freedom
,
GhostType
ghost_type
,
const
Array
<
UInt
>
&
filter_elements
)
const
{
AKANTU_DEBUG_IN
();
AKANTU_DEBUG_ASSERT
(
jacobians
.
exists
(
type
,
ghost_type
),
"No jacobians for the type "
<<
jacobians
.
printType
(
type
,
ghost_type
));
UInt
nb_element
;
const
Matrix
<
Real
>
&
quads
=
quadrature_points
(
type
,
ghost_type
);
UInt
nb_points
=
quads
.
cols
();
const
Array
<
Real
>
&
jac_loc
=
jacobians
(
type
,
ghost_type
);
Array
<
Real
>::
const_scalar_iterator
J_it
;
Array
<
Real
>::
vector_iterator
inte_it
;
Array
<
Real
>::
const_vector_iterator
f_it
;
Array
<
Real
>
*
filtered_J
=
NULL
;
if
(
filter_elements
!=
empty_filter
)
{
nb_element
=
filter_elements
.
getSize
();
filtered_J
=
new
Array
<
Real
>
(
0
,
jac_loc
.
getNbComponent
());
FEEngine
::
filterElementalData
(
mesh
,
jac_loc
,
*
filtered_J
,
type
,
ghost_type
,
filter_elements
);
J_it
=
filtered_J
->
begin
();
}
else
{
nb_element
=
mesh
.
getNbElement
(
type
,
ghost_type
);
J_it
=
jac_loc
.
begin
();
}
intf
.
resize
(
nb_element
*
nb_points
);
f_it
=
in_f
.
begin
(
nb_degree_of_freedom
);
inte_it
=
intf
.
begin
(
nb_degree_of_freedom
);
for
(
UInt
el
=
0
;
el
<
nb_element
;
++
el
,
++
J_it
,
++
f_it
,
++
inte_it
)
{
const
Real
&
J
=
*
J_it
;
const
Vector
<
Real
>
&
f
=
*
f_it
;
Vector
<
Real
>
&
inte_f
=
*
inte_it
;
inte_f
=
f
;
inte_f
*=
J
;
}
delete
filtered_J
;
AKANTU_DEBUG_OUT
();
}
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