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bandmatrix.cpp
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Thu, Feb 20, 22:38
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rDLMA Diffusion limited mixed aggregation
bandmatrix.cpp
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// This file is triangularView of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#include "main.h"
template
<
typename
MatrixType
>
void
bandmatrix
(
const
MatrixType
&
_m
)
{
typedef
typename
MatrixType
::
Scalar
Scalar
;
typedef
typename
NumTraits
<
Scalar
>::
Real
RealScalar
;
typedef
Matrix
<
Scalar
,
Dynamic
,
Dynamic
>
DenseMatrixType
;
Index
rows
=
_m
.
rows
();
Index
cols
=
_m
.
cols
();
Index
supers
=
_m
.
supers
();
Index
subs
=
_m
.
subs
();
MatrixType
m
(
rows
,
cols
,
supers
,
subs
);
DenseMatrixType
dm1
(
rows
,
cols
);
dm1
.
setZero
();
m
.
diagonal
().
setConstant
(
123
);
dm1
.
diagonal
().
setConstant
(
123
);
for
(
int
i
=
1
;
i
<=
m
.
supers
();
++
i
)
{
m
.
diagonal
(
i
).
setConstant
(
static_cast
<
RealScalar
>
(
i
));
dm1
.
diagonal
(
i
).
setConstant
(
static_cast
<
RealScalar
>
(
i
));
}
for
(
int
i
=
1
;
i
<=
m
.
subs
();
++
i
)
{
m
.
diagonal
(
-
i
).
setConstant
(
-
static_cast
<
RealScalar
>
(
i
));
dm1
.
diagonal
(
-
i
).
setConstant
(
-
static_cast
<
RealScalar
>
(
i
));
}
//std::cerr << m.m_data << "\n\n" << m.toDense() << "\n\n" << dm1 << "\n\n\n\n";
VERIFY_IS_APPROX
(
dm1
,
m
.
toDenseMatrix
());
for
(
int
i
=
0
;
i
<
cols
;
++
i
)
{
m
.
col
(
i
).
setConstant
(
static_cast
<
RealScalar
>
(
i
+
1
));
dm1
.
col
(
i
).
setConstant
(
static_cast
<
RealScalar
>
(
i
+
1
));
}
Index
d
=
(
std
::
min
)(
rows
,
cols
);
Index
a
=
std
::
max
<
Index
>
(
0
,
cols
-
d
-
supers
);
Index
b
=
std
::
max
<
Index
>
(
0
,
rows
-
d
-
subs
);
if
(
a
>
0
)
dm1
.
block
(
0
,
d
+
supers
,
rows
,
a
).
setZero
();
dm1
.
block
(
0
,
supers
+
1
,
cols
-
supers
-
1
-
a
,
cols
-
supers
-
1
-
a
).
template
triangularView
<
Upper
>
().
setZero
();
dm1
.
block
(
subs
+
1
,
0
,
rows
-
subs
-
1
-
b
,
rows
-
subs
-
1
-
b
).
template
triangularView
<
Lower
>
().
setZero
();
if
(
b
>
0
)
dm1
.
block
(
d
+
subs
,
0
,
b
,
cols
).
setZero
();
//std::cerr << m.m_data << "\n\n" << m.toDense() << "\n\n" << dm1 << "\n\n";
VERIFY_IS_APPROX
(
dm1
,
m
.
toDenseMatrix
());
}
using
Eigen
::
internal
::
BandMatrix
;
EIGEN_DECLARE_TEST
(
bandmatrix
)
{
for
(
int
i
=
0
;
i
<
10
*
g_repeat
;
i
++
)
{
Index
rows
=
internal
::
random
<
Index
>
(
1
,
10
);
Index
cols
=
internal
::
random
<
Index
>
(
1
,
10
);
Index
sups
=
internal
::
random
<
Index
>
(
0
,
cols
-
1
);
Index
subs
=
internal
::
random
<
Index
>
(
0
,
rows
-
1
);
CALL_SUBTEST
(
bandmatrix
(
BandMatrix
<
float
>
(
rows
,
cols
,
sups
,
subs
))
);
}
}
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