Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F64486321
Mesh.hpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Mon, May 27, 05:45
Size
45 KB
Mime Type
text/x-c++
Expires
Wed, May 29, 05:45 (2 d)
Engine
blob
Format
Raw Data
Handle
17911375
Attached To
rGOOSEFEM GooseFEM
Mesh.hpp
View Options
/**
Implementation of Mesh.h
\file Mesh.hpp
\copyright Copyright 2017. Tom de Geus. All rights reserved.
\license This project is released under the GNU Public License (GPLv3).
*/
#ifndef GOOSEFEM_MESH_HPP
#define GOOSEFEM_MESH_HPP
#include "Mesh.h"
#include "assertions.h"
namespace
GooseFEM
{
namespace
Mesh
{
template
<
class
S
,
class
T
>
inline
ElementType
defaultElementType
(
const
S
&
coor
,
const
T
&
conn
)
{
GOOSEFEM_ASSERT
(
coor
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn
.
dimension
()
==
2
);
if
(
coor
.
shape
(
1
)
==
2ul
&&
conn
.
shape
(
1
)
==
3ul
)
{
return
ElementType
::
Tri3
;
}
if
(
coor
.
shape
(
1
)
==
2ul
&&
conn
.
shape
(
1
)
==
4ul
)
{
return
ElementType
::
Quad4
;
}
if
(
coor
.
shape
(
1
)
==
3ul
&&
conn
.
shape
(
1
)
==
8ul
)
{
return
ElementType
::
Hex8
;
}
throw
std
::
runtime_error
(
"Element-type not implemented"
);
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nelem
()
const
{
return
derived_cast
().
m_nelem
;
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nnode
()
const
{
return
derived_cast
().
m_nnode
;
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nne
()
const
{
return
derived_cast
().
m_nne
;
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
ndim
()
const
{
return
derived_cast
().
m_ndim
;
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nelx
()
const
{
return
derived_cast
().
nelx_impl
();
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nely
()
const
{
return
derived_cast
().
nely_impl
();
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
h
()
const
{
return
derived_cast
().
m_h
;
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
getElementType
()
const
{
return
derived_cast
().
getElementType_impl
();
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
coor
()
const
{
return
derived_cast
().
coor_impl
();
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
conn
()
const
{
return
derived_cast
().
conn_impl
();
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
dofs
()
const
{
return
GooseFEM
::
Mesh
::
dofs
(
this
->
nnode
(),
this
->
ndim
());
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
dofsPeriodic
()
const
{
array_type
::
tensor
<
size_t
,
2
>
ret
=
this
->
dofs
();
array_type
::
tensor
<
size_t
,
2
>
nodePer
=
this
->
nodesPeriodic
();
array_type
::
tensor
<
size_t
,
1
>
independent
=
xt
::
view
(
nodePer
,
xt
::
all
(),
0
);
array_type
::
tensor
<
size_t
,
1
>
dependent
=
xt
::
view
(
nodePer
,
xt
::
all
(),
1
);
for
(
size_t
j
=
0
;
j
<
this
->
ndim
();
++
j
)
{
xt
::
view
(
ret
,
xt
::
keep
(
dependent
),
j
)
=
xt
::
view
(
ret
,
xt
::
keep
(
independent
),
j
);
}
return
GooseFEM
::
Mesh
::
renumber
(
ret
);
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
derived_cast
()
->
derived_type
&
{
return
*
static_cast
<
derived_type
*>
(
this
);
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
derived_cast
()
const
->
const
derived_type
&
{
return
*
static_cast
<
const
derived_type
*>
(
this
);
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nodesPeriodic
()
const
{
return
derived_cast
().
nodesPeriodic_impl
();
}
template
<
class
D
>
inline
auto
RegularBase
<
D
>::
nodesOrigin
()
const
{
return
derived_cast
().
nodesOrigin_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesBottomEdge
()
const
{
return
derived_cast
().
nodesBottomEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesTopEdge
()
const
{
return
derived_cast
().
nodesTopEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesLeftEdge
()
const
{
return
derived_cast
().
nodesLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesRightEdge
()
const
{
return
derived_cast
().
nodesRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesBottomOpenEdge
()
const
{
return
derived_cast
().
nodesBottomOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesTopOpenEdge
()
const
{
return
derived_cast
().
nodesTopOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesLeftOpenEdge
()
const
{
return
derived_cast
().
nodesLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesRightOpenEdge
()
const
{
return
derived_cast
().
nodesRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesBottomLeftCorner
()
const
{
return
derived_cast
().
nodesBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesTopLeftCorner
()
const
{
return
derived_cast
().
nodesTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesBottomRightCorner
()
const
{
return
derived_cast
().
nodesBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesTopRightCorner
()
const
{
return
derived_cast
().
nodesTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesLeftBottomCorner
()
const
{
return
derived_cast
().
nodesBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesLeftTopCorner
()
const
{
return
derived_cast
().
nodesTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesRightBottomCorner
()
const
{
return
derived_cast
().
nodesBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesRightTopCorner
()
const
{
return
derived_cast
().
nodesTopRightCorner_impl
();
}
template
<
class
D
>
inline
array_type
::
tensor
<
size_t
,
2
>
RegularBase2d
<
D
>::
nodesPeriodic_impl
()
const
{
array_type
::
tensor
<
size_t
,
1
>
bot
=
derived_cast
().
nodesBottomOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
top
=
derived_cast
().
nodesTopOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
lft
=
derived_cast
().
nodesLeftOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
rgt
=
derived_cast
().
nodesRightOpenEdge_impl
();
std
::
array
<
size_t
,
2
>
shape
=
{
bot
.
size
()
+
lft
.
size
()
+
size_t
(
3
),
size_t
(
2
)};
auto
ret
=
array_type
::
tensor
<
size_t
,
2
>::
from_shape
(
shape
);
ret
(
0
,
0
)
=
derived_cast
().
nodesBottomLeftCorner_impl
();
ret
(
0
,
1
)
=
derived_cast
().
nodesBottomRightCorner_impl
();
ret
(
1
,
0
)
=
derived_cast
().
nodesBottomLeftCorner_impl
();
ret
(
1
,
1
)
=
derived_cast
().
nodesTopRightCorner_impl
();
ret
(
2
,
0
)
=
derived_cast
().
nodesBottomLeftCorner_impl
();
ret
(
2
,
1
)
=
derived_cast
().
nodesTopLeftCorner_impl
();
size_t
i
=
3
;
xt
::
view
(
ret
,
xt
::
range
(
i
,
i
+
bot
.
size
()),
0
)
=
bot
;
xt
::
view
(
ret
,
xt
::
range
(
i
,
i
+
bot
.
size
()),
1
)
=
top
;
i
+=
bot
.
size
();
xt
::
view
(
ret
,
xt
::
range
(
i
,
i
+
lft
.
size
()),
0
)
=
lft
;
xt
::
view
(
ret
,
xt
::
range
(
i
,
i
+
lft
.
size
()),
1
)
=
rgt
;
return
ret
;
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
nodesOrigin_impl
()
const
{
return
derived_cast
().
nodesBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
derived_cast
()
->
derived_type
&
{
return
*
static_cast
<
derived_type
*>
(
this
);
}
template
<
class
D
>
inline
auto
RegularBase2d
<
D
>::
derived_cast
()
const
->
const
derived_type
&
{
return
*
static_cast
<
const
derived_type
*>
(
this
);
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nelz
()
const
{
return
derived_cast
().
nelz_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottom
()
const
{
return
derived_cast
().
nodesBottom_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTop
()
const
{
return
derived_cast
().
nodesTop_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeft
()
const
{
return
derived_cast
().
nodesLeft_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRight
()
const
{
return
derived_cast
().
nodesRight_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFront
()
const
{
return
derived_cast
().
nodesFront_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBack
()
const
{
return
derived_cast
().
nodesBack_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontBottomEdge
()
const
{
return
derived_cast
().
nodesFrontBottomEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontTopEdge
()
const
{
return
derived_cast
().
nodesFrontTopEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontLeftEdge
()
const
{
return
derived_cast
().
nodesFrontLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontRightEdge
()
const
{
return
derived_cast
().
nodesFrontRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackBottomEdge
()
const
{
return
derived_cast
().
nodesBackBottomEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackTopEdge
()
const
{
return
derived_cast
().
nodesBackTopEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackLeftEdge
()
const
{
return
derived_cast
().
nodesBackLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackRightEdge
()
const
{
return
derived_cast
().
nodesBackRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomLeftEdge
()
const
{
return
derived_cast
().
nodesBottomLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomRightEdge
()
const
{
return
derived_cast
().
nodesBottomRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopLeftEdge
()
const
{
return
derived_cast
().
nodesTopLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopRightEdge
()
const
{
return
derived_cast
().
nodesTopRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomFrontEdge
()
const
{
return
derived_cast
().
nodesFrontBottomEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomBackEdge
()
const
{
return
derived_cast
().
nodesBackBottomEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopFrontEdge
()
const
{
return
derived_cast
().
nodesFrontTopEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopBackEdge
()
const
{
return
derived_cast
().
nodesBackTopEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBottomEdge
()
const
{
return
derived_cast
().
nodesBottomLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftFrontEdge
()
const
{
return
derived_cast
().
nodesFrontLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBackEdge
()
const
{
return
derived_cast
().
nodesBackLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftTopEdge
()
const
{
return
derived_cast
().
nodesTopLeftEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBottomEdge
()
const
{
return
derived_cast
().
nodesBottomRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightTopEdge
()
const
{
return
derived_cast
().
nodesTopRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightFrontEdge
()
const
{
return
derived_cast
().
nodesFrontRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBackEdge
()
const
{
return
derived_cast
().
nodesBackRightEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontFace
()
const
{
return
derived_cast
().
nodesFrontFace_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackFace
()
const
{
return
derived_cast
().
nodesBackFace_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftFace
()
const
{
return
derived_cast
().
nodesLeftFace_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightFace
()
const
{
return
derived_cast
().
nodesRightFace_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomFace
()
const
{
return
derived_cast
().
nodesBottomFace_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopFace
()
const
{
return
derived_cast
().
nodesTopFace_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontBottomOpenEdge
()
const
{
return
derived_cast
().
nodesFrontBottomOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontTopOpenEdge
()
const
{
return
derived_cast
().
nodesFrontTopOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontLeftOpenEdge
()
const
{
return
derived_cast
().
nodesFrontLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontRightOpenEdge
()
const
{
return
derived_cast
().
nodesFrontRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackBottomOpenEdge
()
const
{
return
derived_cast
().
nodesBackBottomOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackTopOpenEdge
()
const
{
return
derived_cast
().
nodesBackTopOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackLeftOpenEdge
()
const
{
return
derived_cast
().
nodesBackLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackRightOpenEdge
()
const
{
return
derived_cast
().
nodesBackRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomLeftOpenEdge
()
const
{
return
derived_cast
().
nodesBottomLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomRightOpenEdge
()
const
{
return
derived_cast
().
nodesBottomRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopLeftOpenEdge
()
const
{
return
derived_cast
().
nodesTopLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopRightOpenEdge
()
const
{
return
derived_cast
().
nodesTopRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomFrontOpenEdge
()
const
{
return
derived_cast
().
nodesFrontBottomOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomBackOpenEdge
()
const
{
return
derived_cast
().
nodesBackBottomOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopFrontOpenEdge
()
const
{
return
derived_cast
().
nodesFrontTopOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopBackOpenEdge
()
const
{
return
derived_cast
().
nodesBackTopOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBottomOpenEdge
()
const
{
return
derived_cast
().
nodesBottomLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftFrontOpenEdge
()
const
{
return
derived_cast
().
nodesFrontLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBackOpenEdge
()
const
{
return
derived_cast
().
nodesBackLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftTopOpenEdge
()
const
{
return
derived_cast
().
nodesTopLeftOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBottomOpenEdge
()
const
{
return
derived_cast
().
nodesBottomRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightTopOpenEdge
()
const
{
return
derived_cast
().
nodesTopRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightFrontOpenEdge
()
const
{
return
derived_cast
().
nodesFrontRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBackOpenEdge
()
const
{
return
derived_cast
().
nodesBackRightOpenEdge_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontBottomLeftCorner
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontBottomRightCorner
()
const
{
return
derived_cast
().
nodesFrontBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontTopLeftCorner
()
const
{
return
derived_cast
().
nodesFrontTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontTopRightCorner
()
const
{
return
derived_cast
().
nodesFrontTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackBottomLeftCorner
()
const
{
return
derived_cast
().
nodesBackBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackBottomRightCorner
()
const
{
return
derived_cast
().
nodesBackBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackTopLeftCorner
()
const
{
return
derived_cast
().
nodesBackTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackTopRightCorner
()
const
{
return
derived_cast
().
nodesBackTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontLeftBottomCorner
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomFrontLeftCorner
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomLeftFrontCorner
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftFrontBottomCorner
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBottomFrontCorner
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontRightBottomCorner
()
const
{
return
derived_cast
().
nodesFrontBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomFrontRightCorner
()
const
{
return
derived_cast
().
nodesFrontBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomRightFrontCorner
()
const
{
return
derived_cast
().
nodesFrontBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightFrontBottomCorner
()
const
{
return
derived_cast
().
nodesFrontBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBottomFrontCorner
()
const
{
return
derived_cast
().
nodesFrontBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontLeftTopCorner
()
const
{
return
derived_cast
().
nodesFrontTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopFrontLeftCorner
()
const
{
return
derived_cast
().
nodesFrontTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopLeftFrontCorner
()
const
{
return
derived_cast
().
nodesFrontTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftFrontTopCorner
()
const
{
return
derived_cast
().
nodesFrontTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftTopFrontCorner
()
const
{
return
derived_cast
().
nodesFrontTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesFrontRightTopCorner
()
const
{
return
derived_cast
().
nodesFrontTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopFrontRightCorner
()
const
{
return
derived_cast
().
nodesFrontTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopRightFrontCorner
()
const
{
return
derived_cast
().
nodesFrontTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightFrontTopCorner
()
const
{
return
derived_cast
().
nodesFrontTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightTopFrontCorner
()
const
{
return
derived_cast
().
nodesFrontTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackLeftBottomCorner
()
const
{
return
derived_cast
().
nodesBackBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomBackLeftCorner
()
const
{
return
derived_cast
().
nodesBackBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomLeftBackCorner
()
const
{
return
derived_cast
().
nodesBackBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBackBottomCorner
()
const
{
return
derived_cast
().
nodesBackBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBottomBackCorner
()
const
{
return
derived_cast
().
nodesBackBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackRightBottomCorner
()
const
{
return
derived_cast
().
nodesBackBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomBackRightCorner
()
const
{
return
derived_cast
().
nodesBackBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBottomRightBackCorner
()
const
{
return
derived_cast
().
nodesBackBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBackBottomCorner
()
const
{
return
derived_cast
().
nodesBackBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBottomBackCorner
()
const
{
return
derived_cast
().
nodesBackBottomRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackLeftTopCorner
()
const
{
return
derived_cast
().
nodesBackTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopBackLeftCorner
()
const
{
return
derived_cast
().
nodesBackTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopLeftBackCorner
()
const
{
return
derived_cast
().
nodesBackTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftBackTopCorner
()
const
{
return
derived_cast
().
nodesBackTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesLeftTopBackCorner
()
const
{
return
derived_cast
().
nodesBackTopLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesBackRightTopCorner
()
const
{
return
derived_cast
().
nodesBackTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopBackRightCorner
()
const
{
return
derived_cast
().
nodesBackTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesTopRightBackCorner
()
const
{
return
derived_cast
().
nodesBackTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightBackTopCorner
()
const
{
return
derived_cast
().
nodesBackTopRightCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesRightTopBackCorner
()
const
{
return
derived_cast
().
nodesBackTopRightCorner_impl
();
}
template
<
class
D
>
inline
array_type
::
tensor
<
size_t
,
2
>
RegularBase3d
<
D
>::
nodesPeriodic_impl
()
const
{
array_type
::
tensor
<
size_t
,
1
>
fro
=
derived_cast
().
nodesFrontFace_impl
();
array_type
::
tensor
<
size_t
,
1
>
bck
=
derived_cast
().
nodesBackFace_impl
();
array_type
::
tensor
<
size_t
,
1
>
lft
=
derived_cast
().
nodesLeftFace_impl
();
array_type
::
tensor
<
size_t
,
1
>
rgt
=
derived_cast
().
nodesRightFace_impl
();
array_type
::
tensor
<
size_t
,
1
>
bot
=
derived_cast
().
nodesBottomFace_impl
();
array_type
::
tensor
<
size_t
,
1
>
top
=
derived_cast
().
nodesTopFace_impl
();
array_type
::
tensor
<
size_t
,
1
>
froBot
=
derived_cast
().
nodesFrontBottomOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
froTop
=
derived_cast
().
nodesFrontTopOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
froLft
=
derived_cast
().
nodesFrontLeftOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
froRgt
=
derived_cast
().
nodesFrontRightOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
bckBot
=
derived_cast
().
nodesBackBottomOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
bckTop
=
derived_cast
().
nodesBackTopOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
bckLft
=
derived_cast
().
nodesBackLeftOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
bckRgt
=
derived_cast
().
nodesBackRightOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
botLft
=
derived_cast
().
nodesBottomLeftOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
botRgt
=
derived_cast
().
nodesBottomRightOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
topLft
=
derived_cast
().
nodesTopLeftOpenEdge_impl
();
array_type
::
tensor
<
size_t
,
1
>
topRgt
=
derived_cast
().
nodesTopRightOpenEdge_impl
();
size_t
tface
=
fro
.
size
()
+
lft
.
size
()
+
bot
.
size
();
size_t
tedge
=
3
*
froBot
.
size
()
+
3
*
froLft
.
size
()
+
3
*
botLft
.
size
();
size_t
tnode
=
7
;
array_type
::
tensor
<
size_t
,
2
>
ret
=
xt
::
empty
<
size_t
>
({
tface
+
tedge
+
tnode
,
std
::
size_t
(
2
)});
size_t
i
=
0
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesFrontBottomRightCorner_impl
();
++
i
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesBackBottomRightCorner_impl
();
++
i
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesBackBottomLeftCorner_impl
();
++
i
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesFrontTopLeftCorner_impl
();
++
i
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesFrontTopRightCorner_impl
();
++
i
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesBackTopRightCorner_impl
();
++
i
;
ret
(
i
,
0
)
=
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
ret
(
i
,
1
)
=
derived_cast
().
nodesBackTopLeftCorner_impl
();
++
i
;
for
(
size_t
j
=
0
;
j
<
froBot
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
froBot
(
j
);
ret
(
i
,
1
)
=
bckBot
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
froBot
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
froBot
(
j
);
ret
(
i
,
1
)
=
bckTop
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
froBot
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
froBot
(
j
);
ret
(
i
,
1
)
=
froTop
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
botLft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
botLft
(
j
);
ret
(
i
,
1
)
=
botRgt
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
botLft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
botLft
(
j
);
ret
(
i
,
1
)
=
topRgt
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
botLft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
botLft
(
j
);
ret
(
i
,
1
)
=
topLft
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
froLft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
froLft
(
j
);
ret
(
i
,
1
)
=
froRgt
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
froLft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
froLft
(
j
);
ret
(
i
,
1
)
=
bckRgt
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
froLft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
froLft
(
j
);
ret
(
i
,
1
)
=
bckLft
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
fro
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
fro
(
j
);
ret
(
i
,
1
)
=
bck
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
lft
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
lft
(
j
);
ret
(
i
,
1
)
=
rgt
(
j
);
++
i
;
}
for
(
size_t
j
=
0
;
j
<
bot
.
size
();
++
j
)
{
ret
(
i
,
0
)
=
bot
(
j
);
ret
(
i
,
1
)
=
top
(
j
);
++
i
;
}
return
ret
;
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
nodesOrigin_impl
()
const
{
return
derived_cast
().
nodesFrontBottomLeftCorner_impl
();
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
derived_cast
()
->
derived_type
&
{
return
*
static_cast
<
derived_type
*>
(
this
);
}
template
<
class
D
>
inline
auto
RegularBase3d
<
D
>::
derived_cast
()
const
->
const
derived_type
&
{
return
*
static_cast
<
const
derived_type
*>
(
this
);
}
namespace
detail
{
template
<
class
T
,
class
R
>
inline
T
renum
(
const
T
&
arg
,
const
R
&
mapping
)
{
T
ret
=
T
::
from_shape
(
arg
.
shape
());
auto
jt
=
ret
.
begin
();
for
(
auto
it
=
arg
.
begin
();
it
!=
arg
.
end
();
++
it
,
++
jt
)
{
*
jt
=
mapping
(
*
it
);
}
return
ret
;
}
}
// namespace detail
template
<
class
S
,
class
T
>
inline
array_type
::
tensor
<
size_t
,
2
>
overlapping
(
const
S
&
coor_a
,
const
T
&
coor_b
,
double
rtol
,
double
atol
)
{
GOOSEFEM_ASSERT
(
coor_a
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
coor_b
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
coor_a
.
shape
(
1
)
==
coor_b
.
shape
(
1
));
std
::
vector
<
size_t
>
ret_a
;
std
::
vector
<
size_t
>
ret_b
;
for
(
size_t
i
=
0
;
i
<
coor_a
.
shape
(
0
);
++
i
)
{
auto
idx
=
xt
::
flatten_indices
(
xt
::
argwhere
(
xt
::
prod
(
xt
::
isclose
(
coor_b
,
xt
::
view
(
coor_a
,
i
,
xt
::
all
()),
rtol
,
atol
),
1
)));
for
(
auto
&
j
:
idx
)
{
ret_a
.
push_back
(
i
);
ret_b
.
push_back
(
j
);
}
}
array_type
::
tensor
<
size_t
,
2
>
ret
=
xt
::
empty
<
size_t
>
({
size_t
(
2
),
ret_a
.
size
()});
for
(
size_t
i
=
0
;
i
<
ret_a
.
size
();
++
i
)
{
ret
(
0
,
i
)
=
ret_a
[
i
];
ret
(
1
,
i
)
=
ret_b
[
i
];
}
return
ret
;
}
template
<
class
CA
,
class
EA
,
class
NA
,
class
CB
,
class
EB
,
class
NB
>
inline
ManualStitch
::
ManualStitch
(
const
CA
&
coor_a
,
const
EA
&
conn_a
,
const
NA
&
overlapping_nodes_a
,
const
CB
&
coor_b
,
const
EB
&
conn_b
,
const
NB
&
overlapping_nodes_b
,
bool
check_position
,
double
rtol
,
double
atol
)
{
UNUSED
(
rtol
);
UNUSED
(
atol
);
GOOSEFEM_ASSERT
(
coor_a
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn_a
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
overlapping_nodes_a
.
dimension
()
==
1
);
GOOSEFEM_ASSERT
(
coor_b
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn_b
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
overlapping_nodes_b
.
dimension
()
==
1
);
GOOSEFEM_ASSERT
(
xt
::
has_shape
(
overlapping_nodes_a
,
overlapping_nodes_b
.
shape
()));
GOOSEFEM_ASSERT
(
coor_a
.
shape
(
1
)
==
coor_b
.
shape
(
1
));
GOOSEFEM_ASSERT
(
conn_a
.
shape
(
1
)
==
conn_b
.
shape
(
1
));
if
(
check_position
)
{
GOOSEFEM_CHECK
(
xt
::
allclose
(
xt
::
view
(
coor_a
,
xt
::
keep
(
overlapping_nodes_a
),
xt
::
all
()),
xt
::
view
(
coor_b
,
xt
::
keep
(
overlapping_nodes_b
),
xt
::
all
()),
rtol
,
atol
));
}
size_t
nnda
=
coor_a
.
shape
(
0
);
size_t
nndb
=
coor_b
.
shape
(
0
);
size_t
ndim
=
coor_a
.
shape
(
1
);
size_t
nelim
=
overlapping_nodes_a
.
size
();
size_t
nela
=
conn_a
.
shape
(
0
);
size_t
nelb
=
conn_b
.
shape
(
0
);
size_t
nne
=
conn_a
.
shape
(
1
);
m_nel_a
=
nela
;
m_nel_b
=
nelb
;
m_nnd_a
=
nnda
;
array_type
::
tensor
<
size_t
,
1
>
keep_b
=
xt
::
setdiff1d
(
xt
::
arange
<
size_t
>
(
nndb
),
overlapping_nodes_b
);
m_map_b
=
xt
::
empty
<
size_t
>
({
nndb
});
xt
::
view
(
m_map_b
,
xt
::
keep
(
overlapping_nodes_b
))
=
overlapping_nodes_a
;
xt
::
view
(
m_map_b
,
xt
::
keep
(
keep_b
))
=
xt
::
arange
<
size_t
>
(
keep_b
.
size
())
+
nnda
;
m_conn
=
xt
::
empty
<
size_t
>
({
nela
+
nelb
,
nne
});
xt
::
view
(
m_conn
,
xt
::
range
(
0
,
nela
),
xt
::
all
())
=
conn_a
;
xt
::
view
(
m_conn
,
xt
::
range
(
nela
,
nela
+
nelb
),
xt
::
all
())
=
detail
::
renum
(
conn_b
,
m_map_b
);
m_coor
=
xt
::
empty
<
size_t
>
({
nnda
+
nndb
-
nelim
,
ndim
});
xt
::
view
(
m_coor
,
xt
::
range
(
0
,
nnda
),
xt
::
all
())
=
coor_a
;
xt
::
view
(
m_coor
,
xt
::
range
(
nnda
,
nnda
+
nndb
-
nelim
),
xt
::
all
())
=
xt
::
view
(
coor_b
,
xt
::
keep
(
keep_b
),
xt
::
all
());
}
inline
array_type
::
tensor
<
double
,
2
>
ManualStitch
::
coor
()
const
{
return
m_coor
;
}
inline
array_type
::
tensor
<
size_t
,
2
>
ManualStitch
::
conn
()
const
{
return
m_conn
;
}
inline
size_t
ManualStitch
::
nmesh
()
const
{
return
2
;
}
inline
size_t
ManualStitch
::
nelem
()
const
{
return
m_conn
.
shape
(
0
);
}
inline
size_t
ManualStitch
::
nnode
()
const
{
return
m_coor
.
shape
(
0
);
}
inline
size_t
ManualStitch
::
nne
()
const
{
return
m_conn
.
shape
(
1
);
}
inline
size_t
ManualStitch
::
ndim
()
const
{
return
m_coor
.
shape
(
1
);
}
inline
array_type
::
tensor
<
size_t
,
2
>
ManualStitch
::
dofs
()
const
{
size_t
nnode
=
this
->
nnode
();
size_t
ndim
=
this
->
ndim
();
return
xt
::
reshape_view
(
xt
::
arange
<
size_t
>
(
nnode
*
ndim
),
{
nnode
,
ndim
});
}
inline
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
ManualStitch
::
nodemap
()
const
{
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
ret
(
this
->
nmesh
());
for
(
size_t
i
=
0
;
i
<
this
->
nmesh
();
++
i
)
{
ret
[
i
]
=
this
->
nodemap
(
i
);
}
return
ret
;
}
inline
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
ManualStitch
::
elemmap
()
const
{
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
ret
(
this
->
nmesh
());
for
(
size_t
i
=
0
;
i
<
this
->
nmesh
();
++
i
)
{
ret
[
i
]
=
this
->
elemmap
(
i
);
}
return
ret
;
}
inline
array_type
::
tensor
<
size_t
,
1
>
ManualStitch
::
nodemap
(
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<=
1
);
if
(
mesh_index
==
0
)
{
return
xt
::
arange
<
size_t
>
(
m_nnd_a
);
}
return
m_map_b
;
}
inline
array_type
::
tensor
<
size_t
,
1
>
ManualStitch
::
elemmap
(
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<=
1
);
if
(
mesh_index
==
0
)
{
return
xt
::
arange
<
size_t
>
(
m_nel_a
);
}
return
xt
::
arange
<
size_t
>
(
m_nel_b
)
+
m_nel_a
;
}
template
<
class
T
>
inline
T
ManualStitch
::
nodeset
(
const
T
&
set
,
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<=
1
);
if
(
mesh_index
==
0
)
{
GOOSEFEM_ASSERT
(
xt
::
amax
(
set
)()
<
m_nnd_a
);
return
set
;
}
GOOSEFEM_ASSERT
(
xt
::
amax
(
set
)()
<
m_map_b
.
size
());
return
detail
::
renum
(
set
,
m_map_b
);
}
template
<
class
T
>
inline
T
ManualStitch
::
elemset
(
const
T
&
set
,
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<=
1
);
if
(
mesh_index
==
0
)
{
GOOSEFEM_ASSERT
(
xt
::
amax
(
set
)()
<
m_nel_a
);
return
set
;
}
GOOSEFEM_ASSERT
(
xt
::
amax
(
set
)()
<
m_nel_b
);
return
set
+
m_nel_a
;
}
inline
Stitch
::
Stitch
(
double
rtol
,
double
atol
)
{
m_rtol
=
rtol
;
m_atol
=
atol
;
}
template
<
class
C
,
class
E
>
inline
void
Stitch
::
push_back
(
const
C
&
coor
,
const
E
&
conn
)
{
GOOSEFEM_ASSERT
(
coor
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn
.
dimension
()
==
2
);
if
(
m_map
.
size
()
==
0
)
{
m_coor
=
coor
;
m_conn
=
conn
;
m_map
.
push_back
(
xt
::
eval
(
xt
::
arange
<
size_t
>
(
coor
.
shape
(
0
))));
m_nel
.
push_back
(
conn
.
shape
(
0
));
m_el_offset
.
push_back
(
0
);
return
;
}
auto
overlap
=
overlapping
(
m_coor
,
coor
,
m_rtol
,
m_atol
);
size_t
index
=
m_map
.
size
();
ManualStitch
stitch
(
m_coor
,
m_conn
,
xt
::
eval
(
xt
::
view
(
overlap
,
0
,
xt
::
all
())),
coor
,
conn
,
xt
::
eval
(
xt
::
view
(
overlap
,
1
,
xt
::
all
())),
false
);
m_coor
=
stitch
.
coor
();
m_conn
=
stitch
.
conn
();
m_map
.
push_back
(
stitch
.
nodemap
(
1
));
m_nel
.
push_back
(
conn
.
shape
(
0
));
m_el_offset
.
push_back
(
m_el_offset
[
index
-
1
]
+
m_nel
[
index
-
1
]);
}
inline
size_t
Stitch
::
nmesh
()
const
{
return
m_map
.
size
();
}
inline
array_type
::
tensor
<
double
,
2
>
Stitch
::
coor
()
const
{
return
m_coor
;
}
inline
array_type
::
tensor
<
size_t
,
2
>
Stitch
::
conn
()
const
{
return
m_conn
;
}
inline
size_t
Stitch
::
nelem
()
const
{
return
m_conn
.
shape
(
0
);
}
inline
size_t
Stitch
::
nnode
()
const
{
return
m_coor
.
shape
(
0
);
}
inline
size_t
Stitch
::
nne
()
const
{
return
m_conn
.
shape
(
1
);
}
inline
size_t
Stitch
::
ndim
()
const
{
return
m_coor
.
shape
(
1
);
}
inline
array_type
::
tensor
<
size_t
,
2
>
Stitch
::
dofs
()
const
{
size_t
nnode
=
this
->
nnode
();
size_t
ndim
=
this
->
ndim
();
return
xt
::
reshape_view
(
xt
::
arange
<
size_t
>
(
nnode
*
ndim
),
{
nnode
,
ndim
});
}
inline
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
Stitch
::
nodemap
()
const
{
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
ret
(
this
->
nmesh
());
for
(
size_t
i
=
0
;
i
<
this
->
nmesh
();
++
i
)
{
ret
[
i
]
=
this
->
nodemap
(
i
);
}
return
ret
;
}
inline
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
Stitch
::
elemmap
()
const
{
std
::
vector
<
array_type
::
tensor
<
size_t
,
1
>>
ret
(
this
->
nmesh
());
for
(
size_t
i
=
0
;
i
<
this
->
nmesh
();
++
i
)
{
ret
[
i
]
=
this
->
elemmap
(
i
);
}
return
ret
;
}
inline
array_type
::
tensor
<
size_t
,
1
>
Stitch
::
nodemap
(
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<
m_map
.
size
());
return
m_map
[
mesh_index
];
}
inline
array_type
::
tensor
<
size_t
,
1
>
Stitch
::
elemmap
(
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<
m_map
.
size
());
return
xt
::
arange
<
size_t
>
(
m_nel
[
mesh_index
])
+
m_el_offset
[
mesh_index
];
}
template
<
class
T
>
inline
T
Stitch
::
nodeset
(
const
T
&
set
,
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<
m_map
.
size
());
GOOSEFEM_ASSERT
(
xt
::
amax
(
set
)()
<
m_map
[
mesh_index
].
size
());
return
detail
::
renum
(
set
,
m_map
[
mesh_index
]);
}
template
<
class
T
>
inline
T
Stitch
::
elemset
(
const
T
&
set
,
size_t
mesh_index
)
const
{
GOOSEFEM_ASSERT
(
mesh_index
<
m_map
.
size
());
GOOSEFEM_ASSERT
(
xt
::
amax
(
set
)()
<
m_nel
[
mesh_index
]);
return
set
+
m_el_offset
[
mesh_index
];
}
template
<
class
T
>
inline
T
Stitch
::
nodeset
(
const
std
::
vector
<
T
>&
set
)
const
{
GOOSEFEM_ASSERT
(
set
.
size
()
==
m_map
.
size
());
size_t
n
=
0
;
for
(
size_t
i
=
0
;
i
<
set
.
size
();
++
i
)
{
n
+=
set
[
i
].
size
();
}
array_type
::
tensor
<
size_t
,
1
>
ret
=
xt
::
empty
<
size_t
>
({
n
});
n
=
0
;
for
(
size_t
i
=
0
;
i
<
set
.
size
();
++
i
)
{
xt
::
view
(
ret
,
xt
::
range
(
n
,
n
+
set
[
i
].
size
()))
=
this
->
nodeset
(
set
[
i
],
i
);
n
+=
set
[
i
].
size
();
}
return
xt
::
unique
(
ret
);
}
template
<
class
T
>
inline
T
Stitch
::
elemset
(
const
std
::
vector
<
T
>&
set
)
const
{
GOOSEFEM_ASSERT
(
set
.
size
()
==
m_map
.
size
());
size_t
n
=
0
;
for
(
size_t
i
=
0
;
i
<
set
.
size
();
++
i
)
{
n
+=
set
[
i
].
size
();
}
array_type
::
tensor
<
size_t
,
1
>
ret
=
xt
::
empty
<
size_t
>
({
n
});
n
=
0
;
for
(
size_t
i
=
0
;
i
<
set
.
size
();
++
i
)
{
xt
::
view
(
ret
,
xt
::
range
(
n
,
n
+
set
[
i
].
size
()))
=
this
->
elemset
(
set
[
i
],
i
);
n
+=
set
[
i
].
size
();
}
return
ret
;
}
template
<
class
T
>
inline
T
Stitch
::
nodeset
(
std
::
initializer_list
<
T
>
set
)
const
{
return
this
->
nodeset
(
std
::
vector
<
T
>
(
set
));
}
template
<
class
T
>
inline
T
Stitch
::
elemset
(
std
::
initializer_list
<
T
>
set
)
const
{
return
this
->
elemset
(
std
::
vector
<
T
>
(
set
));
}
inline
Vstack
::
Vstack
(
bool
check_overlap
,
double
rtol
,
double
atol
)
{
m_check_overlap
=
check_overlap
;
m_rtol
=
rtol
;
m_atol
=
atol
;
}
template
<
class
C
,
class
E
,
class
N
>
inline
void
Vstack
::
push_back
(
const
C
&
coor
,
const
E
&
conn
,
const
N
&
nodes_bot
,
const
N
&
nodes_top
)
{
if
(
m_map
.
size
()
==
0
)
{
m_coor
=
coor
;
m_conn
=
conn
;
m_map
.
push_back
(
xt
::
eval
(
xt
::
arange
<
size_t
>
(
coor
.
shape
(
0
))));
m_nel
.
push_back
(
conn
.
shape
(
0
));
m_el_offset
.
push_back
(
0
);
m_nodes_bot
.
push_back
(
nodes_bot
);
m_nodes_top
.
push_back
(
nodes_top
);
return
;
}
GOOSEFEM_ASSERT
(
nodes_bot
.
size
()
==
m_nodes_top
.
back
().
size
());
size_t
index
=
m_map
.
size
();
double
shift
=
xt
::
amax
(
xt
::
view
(
m_coor
,
xt
::
all
(),
1
))();
auto
x
=
coor
;
xt
::
view
(
x
,
xt
::
all
(),
1
)
+=
shift
;
ManualStitch
stitch
(
m_coor
,
m_conn
,
m_nodes_top
.
back
(),
x
,
conn
,
nodes_bot
,
m_check_overlap
,
m_rtol
,
m_atol
);
m_nodes_bot
.
push_back
(
stitch
.
nodeset
(
nodes_bot
,
1
));
m_nodes_top
.
push_back
(
stitch
.
nodeset
(
nodes_top
,
1
));
m_coor
=
stitch
.
coor
();
m_conn
=
stitch
.
conn
();
m_map
.
push_back
(
stitch
.
nodemap
(
1
));
m_nel
.
push_back
(
conn
.
shape
(
0
));
m_el_offset
.
push_back
(
m_el_offset
[
index
-
1
]
+
m_nel
[
index
-
1
]);
}
template
<
class
T
>
inline
Renumber
::
Renumber
(
const
T
&
dofs
)
{
size_t
n
=
xt
::
amax
(
dofs
)()
+
1
;
size_t
i
=
0
;
array_type
::
tensor
<
size_t
,
1
>
unique
=
xt
::
unique
(
dofs
);
m_renum
=
xt
::
empty
<
size_t
>
({
n
});
for
(
auto
&
j
:
unique
)
{
m_renum
(
j
)
=
i
;
++
i
;
}
}
template
<
class
T
>
inline
T
Renumber
::
apply
(
const
T
&
list
)
const
{
return
detail
::
renum
(
list
,
m_renum
);
}
inline
array_type
::
tensor
<
size_t
,
1
>
Renumber
::
index
()
const
{
return
m_renum
;
}
template
<
class
T
>
inline
T
renumber
(
const
T
&
dofs
)
{
return
Renumber
(
dofs
).
apply
(
dofs
);
}
template
<
class
T
>
inline
Reorder
::
Reorder
(
const
std
::
initializer_list
<
T
>
args
)
{
size_t
n
=
0
;
size_t
i
=
0
;
for
(
auto
&
arg
:
args
)
{
if
(
arg
.
size
()
==
0
)
{
continue
;
}
n
=
std
::
max
(
n
,
xt
::
amax
(
arg
)()
+
1
);
}
#ifdef GOOSEFEM_ENABLE_ASSERT
for
(
auto
&
arg
:
args
)
{
GOOSEFEM_ASSERT
(
is_unique
(
arg
));
}
#endif
m_renum
=
xt
::
empty
<
size_t
>
({
n
});
for
(
auto
&
arg
:
args
)
{
for
(
auto
&
j
:
arg
)
{
m_renum
(
j
)
=
i
;
++
i
;
}
}
}
template
<
class
T
>
inline
T
Reorder
::
apply
(
const
T
&
list
)
const
{
T
ret
=
T
::
from_shape
(
list
.
shape
());
auto
jt
=
ret
.
begin
();
for
(
auto
it
=
list
.
begin
();
it
!=
list
.
end
();
++
it
,
++
jt
)
{
*
jt
=
m_renum
(
*
it
);
}
return
ret
;
}
inline
array_type
::
tensor
<
size_t
,
1
>
Reorder
::
index
()
const
{
return
m_renum
;
}
inline
array_type
::
tensor
<
size_t
,
2
>
dofs
(
size_t
nnode
,
size_t
ndim
)
{
return
xt
::
reshape_view
(
xt
::
arange
<
size_t
>
(
nnode
*
ndim
),
{
nnode
,
ndim
});
}
template
<
class
D
>
inline
std
::
vector
<
std
::
vector
<
size_t
>>
nodaltyings
(
const
D
&
dofs
)
{
size_t
nnode
=
dofs
.
shape
(
0
);
size_t
ndim
=
dofs
.
shape
(
1
);
auto
nodemap
=
node2dof
(
dofs
);
std
::
vector
<
std
::
vector
<
size_t
>>
ret
(
nnode
);
for
(
size_t
m
=
0
;
m
<
nnode
;
++
m
)
{
auto
r
=
nodemap
[
dofs
(
m
,
0
)];
std
::
sort
(
r
.
begin
(),
r
.
end
());
ret
[
m
]
=
r
;
#ifdef GOOSEFEM_ENABLE_ASSERT
for
(
size_t
i
=
1
;
i
<
ndim
;
++
i
)
{
auto
t
=
nodemap
[
dofs
(
m
,
i
)];
std
::
sort
(
t
.
begin
(),
t
.
end
());
GOOSEFEM_ASSERT
(
std
::
equal
(
r
.
begin
(),
r
.
end
(),
t
.
begin
()));
}
#endif
}
return
ret
;
}
template
<
class
E
>
inline
array_type
::
tensor
<
size_t
,
1
>
coordination
(
const
E
&
conn
)
{
GOOSEFEM_ASSERT
(
conn
.
dimension
()
==
2
);
size_t
nnode
=
xt
::
amax
(
conn
)()
+
1
;
array_type
::
tensor
<
size_t
,
1
>
N
=
xt
::
zeros
<
size_t
>
({
nnode
});
for
(
auto
it
=
conn
.
begin
();
it
!=
conn
.
end
();
++
it
)
{
N
(
*
it
)
+=
1
;
}
return
N
;
}
template
<
class
D
>
inline
std
::
vector
<
std
::
vector
<
size_t
>>
node2dof
(
const
D
&
dofs
,
bool
sorted
)
{
return
elem2node
(
dofs
,
sorted
);
}
template
<
class
E
>
inline
std
::
vector
<
std
::
vector
<
size_t
>>
elem2node
(
const
E
&
conn
,
bool
sorted
)
{
auto
N
=
coordination
(
conn
);
auto
nnode
=
N
.
size
();
std
::
vector
<
std
::
vector
<
size_t
>>
ret
(
nnode
);
for
(
size_t
i
=
0
;
i
<
nnode
;
++
i
)
{
ret
[
i
].
reserve
(
N
(
i
));
}
for
(
size_t
e
=
0
;
e
<
conn
.
shape
(
0
);
++
e
)
{
for
(
size_t
m
=
0
;
m
<
conn
.
shape
(
1
);
++
m
)
{
ret
[
conn
(
e
,
m
)].
push_back
(
e
);
}
}
if
(
sorted
)
{
for
(
auto
&
row
:
ret
)
{
std
::
sort
(
row
.
begin
(),
row
.
end
());
}
}
return
ret
;
}
template
<
class
E
,
class
D
>
inline
std
::
vector
<
std
::
vector
<
size_t
>>
elem2node
(
const
E
&
conn
,
const
D
&
dofs
,
bool
sorted
)
{
size_t
nnode
=
dofs
.
shape
(
0
);
auto
ret
=
elem2node
(
conn
,
sorted
);
auto
nties
=
nodaltyings
(
dofs
);
for
(
size_t
m
=
0
;
m
<
nnode
;
++
m
)
{
if
(
nties
[
m
].
size
()
<=
1
)
{
continue
;
}
if
(
m
>
nties
[
m
][
0
])
{
continue
;
}
size_t
n
=
ret
[
m
].
size
();
for
(
size_t
j
=
1
;
j
<
nties
[
m
].
size
();
++
j
)
{
n
+=
ret
[
nties
[
m
][
j
]].
size
();
}
ret
[
m
].
reserve
(
n
);
for
(
size_t
j
=
1
;
j
<
nties
[
m
].
size
();
++
j
)
{
ret
[
m
].
insert
(
ret
[
m
].
end
(),
ret
[
nties
[
m
][
j
]].
begin
(),
ret
[
nties
[
m
][
j
]].
end
());
}
if
(
sorted
)
{
std
::
sort
(
ret
[
m
].
begin
(),
ret
[
m
].
end
());
}
for
(
size_t
j
=
1
;
j
<
nties
[
m
].
size
();
++
j
)
{
ret
[
nties
[
m
][
j
]]
=
ret
[
m
];
}
}
return
ret
;
}
template
<
class
C
,
class
E
>
inline
array_type
::
tensor
<
double
,
2
>
edgesize
(
const
C
&
coor
,
const
E
&
conn
,
ElementType
type
)
{
GOOSEFEM_ASSERT
(
coor
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
xt
::
amax
(
conn
)()
<
coor
.
shape
(
0
));
if
(
type
==
ElementType
::
Quad4
)
{
GOOSEFEM_ASSERT
(
coor
.
shape
(
1
)
==
2ul
);
GOOSEFEM_ASSERT
(
conn
.
shape
(
1
)
==
4ul
);
array_type
::
tensor
<
size_t
,
1
>
n0
=
xt
::
view
(
conn
,
xt
::
all
(),
0
);
array_type
::
tensor
<
size_t
,
1
>
n1
=
xt
::
view
(
conn
,
xt
::
all
(),
1
);
array_type
::
tensor
<
size_t
,
1
>
n2
=
xt
::
view
(
conn
,
xt
::
all
(),
2
);
array_type
::
tensor
<
size_t
,
1
>
n3
=
xt
::
view
(
conn
,
xt
::
all
(),
3
);
array_type
::
tensor
<
double
,
1
>
x0
=
xt
::
view
(
coor
,
xt
::
keep
(
n0
),
0
);
array_type
::
tensor
<
double
,
1
>
x1
=
xt
::
view
(
coor
,
xt
::
keep
(
n1
),
0
);
array_type
::
tensor
<
double
,
1
>
x2
=
xt
::
view
(
coor
,
xt
::
keep
(
n2
),
0
);
array_type
::
tensor
<
double
,
1
>
x3
=
xt
::
view
(
coor
,
xt
::
keep
(
n3
),
0
);
array_type
::
tensor
<
double
,
1
>
y0
=
xt
::
view
(
coor
,
xt
::
keep
(
n0
),
1
);
array_type
::
tensor
<
double
,
1
>
y1
=
xt
::
view
(
coor
,
xt
::
keep
(
n1
),
1
);
array_type
::
tensor
<
double
,
1
>
y2
=
xt
::
view
(
coor
,
xt
::
keep
(
n2
),
1
);
array_type
::
tensor
<
double
,
1
>
y3
=
xt
::
view
(
coor
,
xt
::
keep
(
n3
),
1
);
array_type
::
tensor
<
double
,
2
>
ret
=
xt
::
empty
<
double
>
(
conn
.
shape
());
xt
::
view
(
ret
,
xt
::
all
(),
0
)
=
xt
::
sqrt
(
xt
::
pow
(
x1
-
x0
,
2.0
)
+
xt
::
pow
(
y1
-
y0
,
2.0
));
xt
::
view
(
ret
,
xt
::
all
(),
1
)
=
xt
::
sqrt
(
xt
::
pow
(
x2
-
x1
,
2.0
)
+
xt
::
pow
(
y2
-
y1
,
2.0
));
xt
::
view
(
ret
,
xt
::
all
(),
2
)
=
xt
::
sqrt
(
xt
::
pow
(
x3
-
x2
,
2.0
)
+
xt
::
pow
(
y3
-
y2
,
2.0
));
xt
::
view
(
ret
,
xt
::
all
(),
3
)
=
xt
::
sqrt
(
xt
::
pow
(
x0
-
x3
,
2.0
)
+
xt
::
pow
(
y0
-
y3
,
2.0
));
return
ret
;
}
throw
std
::
runtime_error
(
"Element-type not implemented"
);
}
template
<
class
C
,
class
E
>
inline
array_type
::
tensor
<
double
,
2
>
edgesize
(
const
C
&
coor
,
const
E
&
conn
)
{
return
edgesize
(
coor
,
conn
,
defaultElementType
(
coor
,
conn
));
}
template
<
class
C
,
class
E
>
inline
array_type
::
tensor
<
double
,
2
>
centers
(
const
C
&
coor
,
const
E
&
conn
,
ElementType
type
)
{
GOOSEFEM_ASSERT
(
coor
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
xt
::
amax
(
conn
)()
<
coor
.
shape
(
0
));
array_type
::
tensor
<
double
,
2
>
ret
=
xt
::
zeros
<
double
>
({
conn
.
shape
(
0
),
coor
.
shape
(
1
)});
if
(
type
==
ElementType
::
Quad4
)
{
GOOSEFEM_ASSERT
(
coor
.
shape
(
1
)
==
2
);
GOOSEFEM_ASSERT
(
conn
.
shape
(
1
)
==
4
);
for
(
size_t
i
=
0
;
i
<
4
;
++
i
)
{
auto
n
=
xt
::
view
(
conn
,
xt
::
all
(),
i
);
ret
+=
xt
::
view
(
coor
,
xt
::
keep
(
n
),
xt
::
all
());
}
ret
/=
4.0
;
return
ret
;
}
throw
std
::
runtime_error
(
"Element-type not implemented"
);
}
template
<
class
C
,
class
E
>
inline
array_type
::
tensor
<
double
,
2
>
centers
(
const
C
&
coor
,
const
E
&
conn
)
{
return
centers
(
coor
,
conn
,
defaultElementType
(
coor
,
conn
));
}
template
<
class
T
,
class
C
,
class
E
>
inline
array_type
::
tensor
<
size_t
,
1
>
elemmap2nodemap
(
const
T
&
elem_map
,
const
C
&
coor
,
const
E
&
conn
,
ElementType
type
)
{
GOOSEFEM_ASSERT
(
elem_map
.
dimension
()
==
1
);
GOOSEFEM_ASSERT
(
coor
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
conn
.
dimension
()
==
2
);
GOOSEFEM_ASSERT
(
xt
::
amax
(
conn
)()
<
coor
.
shape
(
0
));
GOOSEFEM_ASSERT
(
elem_map
.
size
()
==
conn
.
shape
(
0
));
size_t
N
=
coor
.
shape
(
0
);
array_type
::
tensor
<
size_t
,
1
>
ret
=
N
*
xt
::
ones
<
size_t
>
({
N
});
if
(
type
==
ElementType
::
Quad4
)
{
GOOSEFEM_ASSERT
(
coor
.
shape
(
1
)
==
2
);
GOOSEFEM_ASSERT
(
conn
.
shape
(
1
)
==
4
);
for
(
size_t
i
=
0
;
i
<
4
;
++
i
)
{
array_type
::
tensor
<
size_t
,
1
>
t
=
N
*
xt
::
ones
<
size_t
>
({
N
});
auto
old_nd
=
xt
::
view
(
conn
,
xt
::
all
(),
i
);
auto
new_nd
=
xt
::
view
(
conn
,
xt
::
keep
(
elem_map
),
i
);
xt
::
view
(
t
,
xt
::
keep
(
old_nd
))
=
new_nd
;
ret
=
xt
::
where
(
xt
::
equal
(
ret
,
N
),
t
,
ret
);
}
return
ret
;
}
throw
std
::
runtime_error
(
"Element-type not implemented"
);
}
template
<
class
T
,
class
C
,
class
E
>
inline
array_type
::
tensor
<
size_t
,
1
>
elemmap2nodemap
(
const
T
&
elem_map
,
const
C
&
coor
,
const
E
&
conn
)
{
return
elemmap2nodemap
(
elem_map
,
coor
,
conn
,
defaultElementType
(
coor
,
conn
));
}
}
// namespace Mesh
}
// namespace GooseFEM
#endif
Event Timeline
Log In to Comment