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hanning_window.hh
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rLIBMULTISCALE LibMultiScale
hanning_window.hh
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/**
* @file hanning_window.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @date Mon Jan 07 16:36:30 2013
*
* @brief This implements the hanning window function
*
* @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_HANNING_WINDOW_HH__
#define __LIBMULTISCALE_HANNING_WINDOW_HH__
/* -------------------------------------------------------------------------- */
#include <gsl/gsl_sf_bessel.h>
#include "function_interface.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_LIBMULTISCALE__
/** Class Hanningwindow
*
* This class implements access to the hanning window function
* @f$ F(x) = \frac{1}{2} \left( 1 + cos(\frac{\pi x}{L}) \right) @f$
*
*/
class
HanningWindow
:
public
FunctionInterface
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
HanningWindow
(
Real
L
){
this
->
L
=
L
;
phase
=
M_PI
/
L
;
};
virtual
~
HanningWindow
(){};
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public
:
template
<
UInt
derivation_order
>
inline
Real
compute
(
Real
x
);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public
:
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
private
:
Real
L
;
Real
phase
;
};
/* -------------------------------------------------------------------------- */
template
<
UInt
derivation_order
>
inline
Real
HanningWindow
::
compute
(
Real
x
){
LM_FATAL
(
"order "
<<
derivation_order
<<
"not defined yet"
);
return
0.0
;
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
HanningWindow
::
compute
<
0
>
(
Real
x
){
if
(
x
<
L
)
return
0.5
*
(
1
+
cos
(
phase
*
x
)
);
return
0.0
;
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
HanningWindow
::
compute
<
1
>
(
Real
x
){
if
(
x
<
L
)
return
-
0.5
*
sin
(
phase
*
x
)
*
phase
;
return
0.0
;
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
HanningWindow
::
compute
<
2
>
(
Real
x
){
if
(
x
<
L
)
return
-
0.5
*
cos
(
phase
*
x
)
*
phase
*
phase
;
return
0.0
;
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
HanningWindow
::
compute
<
3
>
(
Real
x
){
if
(
x
<
L
)
return
0.5
*
sin
(
phase
*
x
)
*
phase
*
phase
*
phase
;
return
0.0
;
}
/* -------------------------------------------------------------------------- */
__END_LIBMULTISCALE__
#endif
/* __LIBMULTISCALE_HANNING_WINDOW_HH__ */
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