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rTAMAAS tamaas
isopowerlaw.hh
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2016 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas 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.
*
* Tamaas 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 Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef ISOPOWERLAW_H
#define ISOPOWERLAW_H
/* -------------------------------------------------------------------------- */
#include "filter.hh"
#include "grid_hermitian.hh"
#include "tamaas.hh"
#include "types.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
/// Class representing an isotropic power law spectrum
template
<
UInt
dim
>
class
Isopowerlaw
:
public
Filter
<
dim
>
{
public
:
/// Default constructor
Isopowerlaw
()
=
default
;
/// Destructor
virtual
~
Isopowerlaw
()
=
default
;
public
:
/// Compute filter coefficients
virtual
void
computeFilter
(
GridHermitian
<
Real
,
dim
>&
filter_coefficients
)
const
;
/// Compute a point of the PSD
inline
Real
operator
()(
const
VectorProxy
<
Real
>&
q_vec
)
const
;
/// Analytical rms of heights
Real
rmsHeights
()
const
;
/// Analytical moments
std
::
vector
<
Real
>
moments
()
const
;
/// Analytical Nayak's parameter
Real
alpha
()
const
;
/// Analytical RMS slopes
Real
rmsSlopes
()
const
;
public
:
TAMAAS_ACCESSOR
(
q0
,
UInt
,
Q0
);
TAMAAS_ACCESSOR
(
q1
,
UInt
,
Q1
);
TAMAAS_ACCESSOR
(
q2
,
UInt
,
Q2
);
TAMAAS_ACCESSOR
(
hurst
,
Real
,
Hurst
);
protected
:
UInt
q0
,
q1
,
q2
;
Real
hurst
;
};
/* -------------------------------------------------------------------------- */
/* Inline implementations */
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
inline
Real
Isopowerlaw
<
dim
>::
operator
()(
const
VectorProxy
<
Real
>&
q_vec
)
const
{
const
Real
C
=
1.
;
const
Real
q
=
q_vec
.
l2norm
();
Real
val
;
if
(
q
<
q0
)
val
=
0
;
else
if
(
q
>
q2
)
val
=
0
;
else
if
(
q
<
q1
)
val
=
C
;
else
val
=
C
*
std
::
pow
((
q
/
q1
),
-
2
*
(
hurst
+
1
));
return
std
::
sqrt
(
val
);
}
__END_TAMAAS__
#endif
// ISOPOWERLAW_H
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