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MatrixDiagonal.cpp
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Thu, Jul 25, 15:51
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rGOOSEFEM GooseFEM
MatrixDiagonal.cpp
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#include <catch2/catch.hpp>
#include <xtensor/xrandom.hpp>
#include <GooseFEM/MatrixDiagonal.h>
#include <GooseFEM/MeshQuad4.h>
#include <GooseFEM/ElementQuad4.h>
#include <GooseFEM/Vector.h>
#define ISCLOSE(a,b) REQUIRE_THAT((a), Catch::WithinAbs((b), 1.e-12));
TEST_CASE
(
"GooseFEM::MatrixDiagonal"
,
"MatrixDiagonal.h"
)
{
SECTION
(
"assemble"
)
{
GooseFEM
::
Mesh
::
Quad4
::
Regular
mesh
(
2
,
2
);
GooseFEM
::
Vector
vector
(
mesh
.
conn
(),
mesh
.
dofs
());
GooseFEM
::
MatrixDiagonal
A
(
mesh
.
conn
(),
mesh
.
dofs
());
GooseFEM
::
Element
::
Quad4
::
Quadrature
quad
(
vector
.
AsElement
(
mesh
.
coor
()),
GooseFEM
::
Element
::
Quad4
::
Nodal
::
xi
(),
GooseFEM
::
Element
::
Quad4
::
Nodal
::
w
());
xt
::
xtensor
<
double
,
2
>
val_quad
=
xt
::
empty
<
double
>
({
mesh
.
nelem
(),
quad
.
nip
()});
for
(
size_t
q
=
0
;
q
<
quad
.
nip
();
++
q
)
{
xt
::
view
(
val_quad
,
xt
::
all
(),
q
)
=
1.0
;
}
A
.
assemble
(
quad
.
Int_N_scalar_NT_dV
(
val_quad
));
xt
::
xtensor
<
double
,
1
>
a
=
{
0.25
,
0.25
,
0.5
,
0.5
,
0.25
,
0.25
,
0.5
,
0.5
,
1.0
,
1.0
,
0.5
,
0.5
,
0.25
,
0.25
,
0.5
,
0.5
,
0.25
,
0.25
};
REQUIRE
(
xt
::
allclose
(
A
.
Todiagonal
(),
a
));
}
SECTION
(
"dot"
)
{
GooseFEM
::
Mesh
::
Quad4
::
Regular
mesh
(
2
,
2
);
xt
::
xtensor
<
double
,
1
>
a
=
xt
::
random
::
rand
<
double
>
({
mesh
.
nnode
()
*
mesh
.
ndim
()});
xt
::
xtensor
<
double
,
1
>
x
=
xt
::
random
::
rand
<
double
>
({
mesh
.
nnode
()
*
mesh
.
ndim
()});
xt
::
xtensor
<
double
,
1
>
b
=
a
*
x
;
GooseFEM
::
MatrixDiagonal
A
(
mesh
.
conn
(),
mesh
.
dofs
());
A
.
set
(
a
);
xt
::
xtensor
<
double
,
1
>
B
=
A
.
Dot
(
x
);
REQUIRE
(
B
.
size
()
==
b
.
size
());
REQUIRE
(
xt
::
allclose
(
B
,
b
));
REQUIRE
(
xt
::
allclose
(
A
.
Todiagonal
(),
a
));
}
SECTION
(
"solve"
)
{
GooseFEM
::
Mesh
::
Quad4
::
Regular
mesh
(
2
,
2
);
xt
::
xtensor
<
double
,
1
>
a
=
xt
::
random
::
rand
<
double
>
({
mesh
.
nnode
()
*
mesh
.
ndim
()});
xt
::
xtensor
<
double
,
1
>
x
=
xt
::
random
::
rand
<
double
>
({
mesh
.
nnode
()
*
mesh
.
ndim
()});
xt
::
xtensor
<
double
,
1
>
b
=
a
*
x
;
GooseFEM
::
MatrixDiagonal
A
(
mesh
.
conn
(),
mesh
.
dofs
());
A
.
set
(
a
);
xt
::
xtensor
<
double
,
1
>
B
=
A
.
Dot
(
x
);
xt
::
xtensor
<
double
,
1
>
X
=
A
.
Solve
(
B
);
REQUIRE
(
B
.
size
()
==
b
.
size
());
REQUIRE
(
X
.
size
()
==
x
.
size
());
REQUIRE
(
xt
::
allclose
(
B
,
b
));
REQUIRE
(
xt
::
allclose
(
X
,
x
));
}
}
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