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rAKA akantu
test_matrix.cc
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/**
* @file test_matrix.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Thu Mar 03 2011
* @date last modification: Sun Oct 19 2014
*
* @brief tests for Matrix
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "aka_types.hh"
#include "aka_array.hh"
#include "aka_math.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <sys/time.h>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
int
main
()
{
#define n 4
UInt
nbm
=
10000
;
Real
time
;
Matrix
<
Real
>
eig_test
(
3
,
3
);
eig_test
(
0
,
0
)
=
0
;
eig_test
(
0
,
1
)
=
1
;
eig_test
(
0
,
2
)
=
0
;
eig_test
(
1
,
0
)
=
1
;
eig_test
(
1
,
1
)
=
0
;
eig_test
(
1
,
2
)
=
0
;
eig_test
(
2
,
0
)
=
0
;
eig_test
(
2
,
1
)
=
0
;
eig_test
(
2
,
2
)
=
1
;
Matrix
<
Real
>
eig_vects
(
3
,
3
);
Vector
<
Real
>
eigs
(
3
);
eig_test
.
eig
(
eigs
,
eig_vects
);
std
::
cout
<<
"A: "
<<
eig_test
<<
std
::
endl
;
std
::
cout
<<
"eig(A): "
<<
eigs
<<
" "
<<
Vector
<
Real
>
(
eig_vects
(
0
))
<<
" "
<<
Vector
<
Real
>
(
eig_vects
(
1
))
<<
" "
<<
Vector
<
Real
>
(
eig_vects
(
2
))
<<
std
::
endl
;
Matrix
<
Real
>
check_eig_vects
(
3
,
3
);
check_eig_vects
(
0
,
0
)
=
1.
/
std
::
sqrt
(
2
);
check_eig_vects
(
0
,
1
)
=
0
;
check_eig_vects
(
0
,
2
)
=
-
1.
/
std
::
sqrt
(
2
);
check_eig_vects
(
1
,
0
)
=
1.
/
std
::
sqrt
(
2
);
check_eig_vects
(
1
,
1
)
=
0
;
check_eig_vects
(
1
,
2
)
=
1.
/
std
::
sqrt
(
2
);
check_eig_vects
(
2
,
0
)
=
0
;
check_eig_vects
(
2
,
1
)
=
1
;
check_eig_vects
(
2
,
2
)
=
0
;
for
(
UInt
i
=
0
;
i
<
3
;
++
i
)
{
Vector
<
Real
>
eig_v
=
eig_vects
(
i
);
Vector
<
Real
>
check_eig_v
=
check_eig_vects
(
i
);
if
(
!
check_eig_v
.
equal
(
eig_v
,
1e-14
))
{
AKANTU_DEBUG_ERROR
(
"The "
<<
i
<<
"th eigen vector is not correct: "
<<
eig_v
<<
" should be "
<<
check_eig_v
);
}
}
Array
<
Real
>
A
(
nbm
,
n
*
n
);
Array
<
Real
>
B
(
nbm
,
n
*
n
);
Array
<
Real
>
C1
(
nbm
,
n
*
n
);
Array
<
Real
>
C2
(
nbm
,
n
*
n
);
Array
<
Real
>
C3
(
nbm
,
n
*
n
);
Array
<
Real
>
C4
(
nbm
,
n
*
n
);
for
(
UInt
i
=
0
;
i
<
n
*
n
;
++
i
)
{
A
.
storage
()[
i
]
=
drand48
();
B
.
storage
()[
i
]
=
drand48
();
}
for
(
UInt
i
=
1
;
i
<
nbm
;
++
i
)
{
memcpy
(
A
.
storage
()
+
i
*
n
*
n
,
A
.
storage
(),
n
*
n
*
sizeof
(
Real
));
memcpy
(
B
.
storage
()
+
i
*
n
*
n
,
B
.
storage
(),
n
*
n
*
sizeof
(
Real
));
}
struct
timeval
begin
,
end
;
Array
<
Real
>::
matrix_iterator
itA
=
A
.
begin
(
n
,
n
);
Array
<
Real
>::
matrix_iterator
itB
=
B
.
begin
(
n
,
n
);
itA
=
A
.
begin
(
n
,
n
);
itB
=
B
.
begin
(
n
,
n
);
std
::
cerr
<<
*
itA
<<
std
::
endl
;
std
::
cerr
<<
*
itB
<<
std
::
endl
;
/* ------------------------------------------------------------------------ */
gettimeofday
(
&
begin
,
NULL
);
Math
::
matrix_matrix
(
n
,
n
,
n
,
A
,
B
,
C1
);
gettimeofday
(
&
end
,
NULL
);
//time = (end.tv_sec * 1e3 + end.tv_usec * 1e-3) - (begin.tv_sec * 1e3 + begin.tv_usec * 1e-3);
time
=
(
end
.
tv_sec
*
1e6
+
end
.
tv_usec
)
-
(
begin
.
tv_sec
*
1e6
+
begin
.
tv_usec
);
std
::
cout
<<
"matrix_matrix : "
<<
std
::
fixed
<<
time
/
nbm
<<
"us"
<<
std
::
endl
;
/* ------------------------------------------------------------------------ */
Array
<
Real
>::
matrix_iterator
itC
=
C2
.
begin
(
n
,
n
);
gettimeofday
(
&
begin
,
NULL
);
for
(
UInt
i
=
0
;
i
<
nbm
;
++
i
)
{
Matrix
<
Real
>
&
C
=
*
itC
;
C
=
*
itA
*
*
itB
;
++
itA
;
++
itB
;
++
itC
;
}
gettimeofday
(
&
end
,
NULL
);
itC
=
C2
.
begin
(
n
,
n
);
std
::
cerr
<<
*
itC
<<
std
::
endl
;
time
=
(
end
.
tv_sec
*
1e6
+
end
.
tv_usec
)
-
(
begin
.
tv_sec
*
1e6
+
begin
.
tv_usec
);
std
::
cout
<<
"it Mc() = it Ma() * it Mb() : "
<<
std
::
fixed
<<
time
/
nbm
<<
"us"
<<
std
::
endl
;
/* ------------------------------------------------------------------------ */
Array
<
Real
>::
matrix_iterator
muitA
=
A
.
begin
(
n
,
n
);
Array
<
Real
>::
matrix_iterator
muitB
=
B
.
begin
(
n
,
n
);
Array
<
Real
>::
matrix_iterator
muitC
=
C4
.
begin
(
n
,
n
);
gettimeofday
(
&
begin
,
NULL
);
for
(
UInt
i
=
0
;
i
<
nbm
;
++
i
)
{
muitC
->
mul
<
false
,
false
>
(
*
muitA
,
*
muitB
);
++
muitA
;
++
muitB
;
++
muitC
;
}
gettimeofday
(
&
end
,
NULL
);
muitC
=
C4
.
begin
(
n
,
n
);
std
::
cerr
<<
*
muitC
<<
std
::
endl
;
time
=
(
end
.
tv_sec
*
1e6
+
end
.
tv_usec
)
-
(
begin
.
tv_sec
*
1e6
+
begin
.
tv_usec
);
std
::
cout
<<
"it Mc.mul( it Ma(), it Mb()) : "
<<
std
::
fixed
<<
time
/
nbm
<<
"us"
<<
std
::
endl
;
return
0
;
}
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