Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F70940496
statistics.cpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Mon, Jul 8, 09:28
Size
6 KB
Mime Type
text/x-c++
Expires
Wed, Jul 10, 09:28 (1 d, 23 h)
Engine
blob
Format
Raw Data
Handle
18888576
Attached To
rTAMAAS tamaas
statistics.cpp
View Options
/**
* @file
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2016-2017 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "statistics.hh"
#include "loop.hh"
#include "static_types.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
template
<
UInt
dim
>
Real
Statistics
<
dim
>::
computeRMSHeights
(
Grid
<
Real
,
dim
>&
surface
)
{
return
std
::
sqrt
(
surface
.
var
());
}
template
<
UInt
dim
>
Real
Statistics
<
dim
>::
computeSpectralRMSSlope
(
Grid
<
Real
,
dim
>&
surface
)
{
auto
h_size
=
GridHermitian
<
Real
,
dim
>::
hermitianDimensions
(
surface
.
sizes
());
auto
wavevectors
=
FFTransform
<
Real
,
dim
>::
template
computeFrequencies
<
true
>
(
h_size
);
wavevectors
*=
2
*
M_PI
;
// need q for slopes
auto
psd
=
computePowerSpectrum
(
surface
);
Real
rms_slope_mean
=
Loop
::
reduce
<
operation
::
plus
>
(
[]
CUDA_LAMBDA
(
auto
q
,
const
auto
&
psd_val
)
{
// Checking if we're in the zone that does not have hermitian symmetry
if
(
std
::
abs
(
q
.
back
())
<
1e-15
)
return
q
.
l2squared
()
*
psd_val
.
real
();
else
return
2
*
q
.
l2squared
()
*
psd_val
.
real
();
},
range
<
VectorProxy
<
Real
,
dim
>>
(
wavevectors
),
psd
);
return
std
::
sqrt
(
rms_slope_mean
);
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
GridHermitian
<
Real
,
dim
>
Statistics
<
dim
>::
computePowerSpectrum
(
Grid
<
Real
,
dim
>&
surface
)
{
auto
h_size
=
GridHermitian
<
Real
,
dim
>::
hermitianDimensions
(
surface
.
sizes
());
GridHermitian
<
Real
,
dim
>
psd
(
h_size
,
surface
.
getNbComponents
());
FFTPlanManager
::
get
().
createPlan
(
surface
,
psd
).
forwardTransform
();
Real
factor
=
1.
/
surface
.
getNbPoints
();
// Squaring the fourier transform of surface and normalizing
Loop
::
loop
(
[
factor
]
CUDA_LAMBDA
(
Complex
&
c
)
{
c
*=
factor
;
c
*=
conj
(
c
);
},
psd
);
FFTPlanManager
::
get
().
destroyPlan
(
surface
,
psd
);
return
psd
;
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
Grid
<
Real
,
dim
>
Statistics
<
dim
>::
computeAutocorrelation
(
Grid
<
Real
,
dim
>&
surface
)
{
Grid
<
Real
,
dim
>
acf
(
surface
.
sizes
(),
surface
.
getNbComponents
());
auto
psd
=
computePowerSpectrum
(
surface
);
FFTPlanManager
::
get
().
createPlan
(
acf
,
psd
).
backwardTransform
();
acf
*=
acf
.
getNbPoints
();
FFTPlanManager
::
get
().
destroyPlan
(
acf
,
psd
);
return
acf
;
}
/* -------------------------------------------------------------------------- */
namespace
{
template
<
UInt
dim
>
class
moment_helper
{
public
:
moment_helper
(
const
std
::
array
<
UInt
,
dim
>&
exp
)
:
exponent
(
exp
)
{}
CUDA_LAMBDA
Complex
operator
()(
VectorProxy
<
Real
,
dim
>
q
,
const
Complex
&
phi
)
const
{
Real
mul
=
1
;
for
(
UInt
i
=
0
;
i
<
dim
;
++
i
)
mul
*=
std
::
pow
(
q
(
i
),
exponent
[
i
]);
// Do not duplicate everything from hermitian symmetry
if
(
std
::
abs
(
q
.
back
())
<
1e-15
)
return
mul
*
phi
;
else
return
2
*
mul
*
phi
;
}
private
:
std
::
array
<
UInt
,
dim
>
exponent
;
};
}
// namespace
template
<>
std
::
vector
<
Real
>
Statistics
<
1
>::
computeMoments
(
Grid
<
Real
,
1
>&
surface
)
{
constexpr
UInt
dim
=
1
;
std
::
vector
<
Real
>
moments
(
3
);
const
auto
psd
=
computePowerSpectrum
(
surface
);
auto
wavevectors
=
FFTransform
<
Real
,
dim
>::
template
computeFrequencies
<
true
>
(
psd
.
sizes
());
// we don't multiply by 2 pi because moments are computed with k
moments
[
0
]
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
0
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
moments
[
1
]
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
2
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
moments
[
2
]
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
4
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
return
moments
;
}
template
<>
std
::
vector
<
Real
>
Statistics
<
2
>::
computeMoments
(
Grid
<
Real
,
2
>&
surface
)
{
constexpr
UInt
dim
=
2
;
std
::
vector
<
Real
>
moments
(
3
);
const
auto
psd
=
computePowerSpectrum
(
surface
);
auto
wavevectors
=
FFTransform
<
Real
,
dim
>::
template
computeFrequencies
<
true
>
(
psd
.
sizes
());
// we don't multiply by 2 pi because moments are computed with k
moments
[
0
]
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
0
,
0
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
auto
m02
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
0
,
2
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
auto
m20
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
2
,
0
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
moments
[
1
]
=
0.5
*
(
m02
+
m20
);
auto
m22
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
2
,
2
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
auto
m40
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
4
,
0
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
auto
m04
=
Loop
::
reduce
<
operation
::
plus
>
(
moment_helper
<
dim
>
{{{
0
,
4
}}},
range
<
PVector
>
(
wavevectors
),
psd
)
.
real
();
moments
[
2
]
=
(
3
*
m22
+
m40
+
m04
)
/
3.
;
return
moments
;
}
template
struct
Statistics
<
1
>
;
template
struct
Statistics
<
2
>
;
__END_TAMAAS__
Event Timeline
Log In to Comment