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Matrix.cpp
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Created
Thu, Aug 22, 00:45
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3 KB
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text/x-c
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Sat, Aug 24, 00:45 (2 d)
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blob
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rGOOSEFEM GooseFEM
Matrix.cpp
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#include <catch2/catch.hpp>
#include <xtensor/xrandom.hpp>
#include <xtensor/xmath.hpp>
#include <Eigen/Eigen>
#include <GooseFEM/GooseFEM.h>
#define ISCLOSE(a,b) REQUIRE_THAT((a), Catch::WithinAbs((b), 1.e-12));
TEST_CASE
(
"GooseFEM::Matrix"
,
"Matrix.h"
)
{
SECTION
(
"solve"
)
{
GooseFEM
::
Mesh
::
Quad4
::
Regular
mesh
(
2
,
2
);
size_t
nne
=
mesh
.
nne
();
size_t
ndim
=
mesh
.
ndim
();
size_t
nelem
=
mesh
.
nelem
();
size_t
nnode
=
mesh
.
nnode
();
xt
::
xtensor
<
double
,
3
>
a
=
xt
::
empty
<
double
>
({
nelem
,
nne
*
ndim
,
nne
*
ndim
});
xt
::
xtensor
<
double
,
1
>
b
=
xt
::
random
::
rand
<
double
>
({
nnode
*
ndim
});
for
(
size_t
e
=
0
;
e
<
nelem
;
++
e
)
{
xt
::
xtensor
<
double
,
2
>
ae
=
xt
::
random
::
rand
<
double
>
({
nne
*
ndim
,
nne
*
ndim
});
ae
=
(
ae
+
xt
::
transpose
(
ae
))
/
2.0
;
xt
::
view
(
a
,
e
,
xt
::
all
(),
xt
::
all
())
=
ae
;
}
GooseFEM
::
Matrix
A
(
mesh
.
conn
(),
mesh
.
dofs
());
GooseFEM
::
MatrixSolver
<>
Solver
;
A
.
assemble
(
a
);
xt
::
xtensor
<
double
,
1
>
C
=
A
.
Dot
(
b
);
xt
::
xtensor
<
double
,
1
>
B
=
Solver
.
Solve
(
A
,
C
);
REQUIRE
(
B
.
size
()
==
b
.
size
());
REQUIRE
(
xt
::
allclose
(
B
,
b
));
}
SECTION
(
"set/add/dot/solve - dofval"
)
{
xt
::
xtensor
<
double
,
2
>
a
=
xt
::
random
::
rand
<
double
>
({
10
,
10
});
xt
::
xtensor
<
double
,
1
>
x
=
xt
::
random
::
rand
<
double
>
({
10
});
xt
::
xtensor
<
double
,
1
>
b
=
xt
::
zeros
<
double
>
({
10
});
xt
::
xtensor
<
double
,
2
>
A
=
a
+
xt
::
transpose
(
a
);
for
(
size_t
i
=
0
;
i
<
A
.
shape
(
0
);
++
i
)
{
for
(
size_t
j
=
0
;
j
<
A
.
shape
(
1
);
++
j
)
{
b
(
i
)
+=
A
(
i
,
j
)
*
x
(
j
);
}
}
xt
::
xtensor
<
size_t
,
2
>
conn
=
xt
::
zeros
<
size_t
>
({
1
,
5
});
xt
::
xtensor
<
size_t
,
2
>
dofs
=
xt
::
arange
<
size_t
>
(
10
).
reshape
({
5
,
2
});
GooseFEM
::
Matrix
K
(
conn
,
dofs
);
GooseFEM
::
MatrixSolver
<>
Solver
;
K
.
set
(
xt
::
arange
<
size_t
>
(
10
),
xt
::
arange
<
size_t
>
(
10
),
a
);
K
.
add
(
xt
::
arange
<
size_t
>
(
10
),
xt
::
arange
<
size_t
>
(
10
),
xt
::
transpose
(
a
));
REQUIRE
(
xt
::
allclose
(
A
,
K
.
Todense
()));
REQUIRE
(
xt
::
allclose
(
b
,
K
.
Dot
(
x
)));
REQUIRE
(
xt
::
allclose
(
x
,
Solver
.
Solve
(
K
,
b
)));
}
SECTION
(
"set/add/dot/solve - nodevec"
)
{
xt
::
xtensor
<
double
,
2
>
a
=
xt
::
random
::
rand
<
double
>
({
10
,
10
});
xt
::
xtensor
<
double
,
2
>
x
=
xt
::
random
::
rand
<
double
>
({
5
,
2
});
xt
::
xtensor
<
double
,
2
>
b
=
xt
::
zeros
<
double
>
({
5
,
2
});
xt
::
xtensor
<
double
,
2
>
A
=
a
+
xt
::
transpose
(
a
);
for
(
size_t
m
=
0
;
m
<
x
.
shape
(
0
);
++
m
)
{
for
(
size_t
n
=
0
;
n
<
x
.
shape
(
0
);
++
n
)
{
for
(
size_t
i
=
0
;
i
<
x
.
shape
(
1
);
++
i
)
{
for
(
size_t
j
=
0
;
j
<
x
.
shape
(
1
);
++
j
)
{
b
(
m
,
i
)
+=
A
(
m
*
x
.
shape
(
1
)
+
i
,
n
*
x
.
shape
(
1
)
+
j
)
*
x
(
n
,
j
);
}
}
}
}
xt
::
xtensor
<
size_t
,
2
>
conn
=
xt
::
zeros
<
size_t
>
({
1
,
5
});
xt
::
xtensor
<
size_t
,
2
>
dofs
=
xt
::
arange
<
size_t
>
(
10
).
reshape
({
5
,
2
});
GooseFEM
::
Matrix
K
(
conn
,
dofs
);
GooseFEM
::
MatrixSolver
<>
Solver
;
K
.
set
(
xt
::
arange
<
size_t
>
(
10
),
xt
::
arange
<
size_t
>
(
10
),
a
);
K
.
add
(
xt
::
arange
<
size_t
>
(
10
),
xt
::
arange
<
size_t
>
(
10
),
xt
::
transpose
(
a
));
REQUIRE
(
xt
::
allclose
(
A
,
K
.
Todense
()));
REQUIRE
(
xt
::
allclose
(
b
,
K
.
Dot
(
x
)));
REQUIRE
(
xt
::
allclose
(
x
,
Solver
.
Solve
(
K
,
b
)));
}
}
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