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rLIBMULTISCALE LibMultiScale
weighting.hh
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/**
* @file weighting.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @date Mon Nov 25 12:23:57 2013
*
* @brief This is a convenient class used to compute the weights associated
* with most methods based on a bridging zone
*
* @section LICENSE
*
* Copyright (©) 2010-2011 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* LibMultiScale 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.
*
* LibMultiScale 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 LibMultiScale. If not, see <http://www.gnu.org/licenses/>.
*
*/
#ifndef __LIBMULTISCALE_WEIGHTING_HH__
#define __LIBMULTISCALE_WEIGHTING_HH__
/* -------------------------------------------------------------------------- */
#define CONTINUFLAG 1
#define ATOMEFLAG 2
/* -------------------------------------------------------------------------- */
#include "ball.hh"
#include "cube.hh"
#include "geom_inter.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_LIBMULTISCALE__
/* -------------------------------------------------------------------------- */
enum
FunctionOrder
{
LINEAR
=
1
,
THIRD
=
3
,
CUSTOM
=
4
};
/* ------------------------------------------------------------------------- */
struct
Weight1D
{
template
<
FunctionOrder
order
>
static
Real
weight
(
Real
x
,
Real
R
);
};
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
Weight1D
::
weight
<
LINEAR
>
(
Real
x
,
Real
R
)
{
return
(
x
/
R
);
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
Weight1D
::
weight
<
THIRD
>
(
Real
x
,
Real
R
)
{
Real
R3
=
R
*
R
*
R
;
return
(
-
1.
*
x
*
x
*
(
2.
*
x
-
3
*
R
)
/
R3
);
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
Weight1D
::
weight
<
CUSTOM
>
(
Real
x
,
Real
R
)
{
/* Real r=R,q=8*R/10,epsilon=0.1; */
/* Real a = -(epsilon*r+q-r)/(q-r)/(q-r)/q; */
/* Real b = (q*q*epsilon -r*r +q*q +epsilon*r*r)/(q-r)/(q-r)/q; */
/* Real c = - (q+epsilon*q-r)*r/(q-r)/(q-r); */
/* if(x < q) */
/* return (1-epsilon)/q*x; */
/* return (1-a*x*x - b*x -c); */
/* ********************** autre experience **************/
/* Real epsilon = .1; */
/* // Real q = R/16;//marche pas */
/* Real q = R/32; */
/* if (x < q) */
/* return 0; */
/* return 1/(R-q)*(x-q); */
return
(
x
/
R
);
}
/* -------------------------------------------------------------------------- */
template
<
UInt
FLAG
,
UInt
Dim
,
FunctionOrder
order
>
class
Weighting
{
/* ------------------------------------------------------------------------ */
/* Typedefs */
/* ------------------------------------------------------------------------ */
public
:
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
Weighting
(
LMID
geom_id
);
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
//! compute a weight associated with coordinates
template
<
typename
V
>
Real
weight
(
V
X
);
protected
:
//! specializations
template
<
typename
V
>
Real
weight
(
V
X
,
Cube
&
c
);
template
<
typename
V
>
Real
weight
(
V
X
,
Ball
&
b
);
//! compute a weight associated with 1D coordinates
Real
computeWeight
(
Real
x
,
Real
R
);
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected
:
std
::
shared_ptr
<
Geometry
>
geom
;
};
/* -------------------------------------------------------------------------- */
template
<
UInt
FLAG
,
UInt
Dim
,
FunctionOrder
order
>
inline
Weighting
<
FLAG
,
Dim
,
order
>::
Weighting
(
LMID
geom_id
)
{
this
->
geom
=
GeometryManager
::
getManager
().
getGeometry
(
geom_id
);
}
/* -------------------------------------------------------------------------- */
template
<
UInt
FLAG
,
UInt
Dim
,
FunctionOrder
order
>
template
<
typename
T
>
inline
Real
Weighting
<
FLAG
,
Dim
,
order
>::
weight
(
T
X
)
{
Real
result
=
-
1
;
if
(
geom
==
NULL
)
{
std
::
stringstream
sstr
;
sstr
<<
"weighting of point at coordinate "
;
for
(
UInt
k
=
0
;
k
<
Dim
;
++
k
)
sstr
<<
X
[
k
]
<<
" "
;
LM_FATAL
(
sstr
.
str
()
<<
" impossible since passed geometry is null"
);
}
Geometry
&
g
=
*
geom
;
switch
(
g
.
getType
())
{
case
Geometry
::
CUBE:
result
=
weight
(
X
,
dynamic_cast
<
Cube
&>
(
*
geom
));
break
;
case
Geometry
::
BALL:
result
=
weight
(
X
,
dynamic_cast
<
Ball
&>
(
*
geom
));
break
;
default
:
LM_TOIMPLEMENT
;
}
if
(
result
>
1.0
)
result
=
1.0
;
if
(
result
<
0.0
)
result
=
0.0
;
if
(
FLAG
==
ATOMEFLAG
)
return
(
1.0
-
result
);
return
result
;
}
/* -------------------------------------------------------------------------- */
template
<
UInt
FLAG
,
UInt
Dim
,
FunctionOrder
order
>
template
<
typename
V
>
inline
Real
Weighting
<
FLAG
,
Dim
,
order
>::
weight
(
V
X
,
Cube
&
c
)
{
Real
result
=
0
;
if
(
c
.
getXmax
()[
1
]
<
0
)
{
Real
R
=
c
.
getXmax
()[
1
]
-
c
.
getXmin
()[
1
];
result
=
computeWeight
(
c
.
getXmax
()[
1
]
-
X
[
1
],
R
);
}
else
if
(
c
.
getXmin
()[
1
]
>
0
)
{
Real
R
=
c
.
getXmax
()[
1
]
-
c
.
getXmin
()[
1
];
result
=
computeWeight
(
X
[
1
]
-
c
.
getXmin
()[
1
],
R
);
}
else
if
(
c
.
getXmax
()[
2
]
<
0
)
{
Real
R
=
c
.
getXmax
()[
2
]
-
c
.
getXmin
()[
2
];
result
=
computeWeight
(
c
.
getXmax
()[
2
]
-
X
[
2
],
R
);
}
else
if
(
c
.
getXmin
()[
2
]
>
0
)
{
Real
R
=
c
.
getXmax
()[
2
]
-
c
.
getXmin
()[
2
];
result
=
computeWeight
(
X
[
2
]
-
c
.
getXmin
()[
2
],
R
);
}
else
if
(
c
.
getXmax
()[
0
]
<
0
)
{
Real
R
=
c
.
getXmax
()[
0
]
-
c
.
getXmin
()[
0
];
result
=
computeWeight
(
c
.
getXmax
()[
0
]
-
X
[
0
],
R
);
}
else
if
(
c
.
getXmin
()[
0
]
>
0
)
{
Real
R
=
c
.
getXmax
()[
0
]
-
c
.
getXmin
()[
0
];
result
=
computeWeight
(
X
[
0
]
-
c
.
getXmin
()[
0
],
R
);
}
else
LM_FATAL
(
"bridged zone can not be of size 0"
);
return
result
;
}
/* -------------------------------------------------------------------------- */
template
<
UInt
FLAG
,
UInt
Dim
,
FunctionOrder
order
>
template
<
typename
V
>
inline
Real
Weighting
<
FLAG
,
Dim
,
order
>::
weight
(
V
X
,
Ball
&
g
)
{
Real
x
[
3
]
=
{
0
,
0
,
0
};
DUMP
(
"la geometrie qui arrive ici "
<<
g
,
DBG_DETAIL
);
for
(
UInt
k
=
0
;
k
<
Dim
;
++
k
)
x
[
k
]
=
X
[
k
]
-
g
.
getCenter
(
k
);
Real
d
=
sqrt
(
x
[
0
]
*
x
[
0
]
+
x
[
1
]
*
x
[
1
]
+
x
[
2
]
*
x
[
2
]);
DUMP
(
"after correction x = "
<<
x
[
0
]
<<
" y = "
<<
x
[
1
]
<<
" z = "
<<
x
[
2
]
<<
" d = "
<<
d
,
DBG_DETAIL
);
return
computeWeight
(
d
-
g
.
rMin
(),
g
.
rMax
()
-
g
.
rMin
());
}
/* -------------------------------------------------------------------------- */
template
<
UInt
FLAG
,
UInt
Dim
,
FunctionOrder
order
>
inline
Real
Weighting
<
FLAG
,
Dim
,
order
>::
computeWeight
(
Real
x
,
Real
R
)
{
return
Weight1D
::
weight
<
order
>
(
x
,
R
);
}
__END_LIBMULTISCALE__
#endif
/* __LIBMULTISCALE_WEIGHTING_HH__ */
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