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Mon, Nov 11, 17:38
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Wed, Nov 13, 17:38 (1 d, 23 h)
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rTAMAAS tamaas
surface.cpp
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/**
*
* @author Guillaume Anciaux <guillaume.anciaux@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/>.
*
*/
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
#include <iostream>
#include <fstream>
#include <sstream>
#include <string>
#include <cmath>
#include <random>
/* -------------------------------------------------------------------------- */
#include "surface.hh"
#include "surface_statistics.hh"
/* -------------------------------------------------------------------------- */
#ifdef USING_IOHELPER
#include "dumper_paraview.hh"
#endif
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
std
::
string
fname
=
"surface_height.pdf"
;
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
expandByLinearInterpolation
()
{
UInt
n
=
this
->
size
();
Surface
*
old_s
=
new
Surface
(
n
,
1.
);
int
new_n
=
n
*
2
;
*
old_s
=
*
this
;
this
->
setGridSize
(
new_n
);
for
(
UInt
i
=
0
;
i
<
n
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
n
;
j
++
)
{
(
*
this
)(
i
,
j
)
=
(
*
old_s
)(
i
,
j
);
}
}
delete
old_s
;
}
Real
sinc
(
Real
x
){
return
sin
(
M_PI
*
x
)
/
(
M_PI
*
x
);
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
expandByShannonInterpolation
(
int
factor
)
{
/* /!\ this->FFTTransform(); /!\ */
TAMAAS_EXCEPTION
(
"Shannon interpolation needs old FFTTransform interface"
);
UInt
n
=
this
->
size
();
UInt
N
=
std
::
pow
(
2
,
factor
)
*
this
->
size
();
std
::
cout
<<
N
<<
" "
<<
factor
<<
std
::
endl
;
Surface
s
=
Surface
(
N
,
1.
);
for
(
UInt
i
=
0
;
i
<
n
/
2
;
++
i
)
for
(
UInt
j
=
0
;
j
<
n
/
2
;
++
j
)
{
s
(
i
,
j
)
=
this
->
at
(
i
,
j
);
}
for
(
UInt
i
=
n
/
2
;
i
<
n
;
++
i
)
for
(
UInt
j
=
0
;
j
<
n
/
2
;
++
j
)
{
s
(
N
-
n
+
i
,
j
)
=
this
->
at
(
i
,
j
);
}
for
(
UInt
i
=
n
/
2
;
i
<
n
;
++
i
)
for
(
UInt
j
=
n
/
2
;
j
<
n
;
++
j
)
{
s
(
N
-
n
+
i
,
N
-
n
+
j
)
=
this
->
at
(
i
,
j
);
}
for
(
UInt
i
=
0
;
i
<
n
/
2
;
++
i
)
for
(
UInt
j
=
n
/
2
;
j
<
n
;
++
j
)
{
s
(
i
,
N
-
n
+
j
)
=
this
->
at
(
i
,
j
);
}
// s.dumpToTextFile<false,true>("temp.csv");
/* /!\ s.FFTITransform(); /!\ */
this
->
setGridSize
(
N
);
Real
f
=
std
::
pow
(
2
,
factor
);
f
=
f
*
f
;
for
(
UInt
i
=
0
;
i
<
N
*
N
;
++
i
)
this
->
at
(
i
)
=
f
*
s
(
i
);
// int new_n = 2*n;
// Surface s(*this);
// this->setGridSize(new_n);
// // put the original signal with zeros for to be interpolated points
// for (int i=0; i<n; i++)
// for (int j=0; j<n; j++)
// this->at(2*i,j*2) = s(i,j);
// // do shannon interpolation
// int rcut = 64;
// //interpolate lines
// for (int i=0; i<new_n; i++) {
// for (int j=0; j<new_n; j++) {
// if (i%2 == 0) continue;
// // Real loop on local neighbors to interpolate
// for (int k=-rcut; k<rcut+1; k++) {
// int i2 = i + k;
// if (i2 < 0) i2 += new_n;
// if (i2 >= new_n) i2 -= new_n;
// if (i2%2) continue;
// Real d = fabs(k);
// s[i+j*new_n] += s(i2,j)*sinc(d/2);
// }
// }
// }
// //interpolate columns
// for (int i=0; i<new_n; i++) {
// for (int j=0; j<new_n; j++) {
// if (j%2 == 0) continue;
// // Real loop on local neighbors to interpolate
// for (int k=-rcut; k<rcut+1; k++) {
// int j2 = j + k;
// if (j2 < 0) j2 += new_n;
// if (j2 >= new_n) j2 -= new_n;
// if (j2%2) continue;
// Real d = fabs(k);
// s[i+j*new_n] += complex(s[i+j2*new_n].real()*sinc(d/2),
// s[i+j2*new_n].imag()*sinc(d/2));
// }
// }
// }
// // for (int i=0; i<n; i++) {
// // for (int j=0; j<n; j++) {
// // s[2*i+j*2*new_n].real() = 0;
// // s[2*i+j*2*new_n].im = 0;
// // }
// // }
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
expandByMirroring
()
{
UInt
n
=
this
->
size
();
UInt
new_n
=
n
*
2
;
Surface
s
(
*
this
);
this
->
setGridSize
(
new_n
);
for
(
UInt
i
=
0
;
i
<
new_n
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
new_n
;
j
++
)
{
UInt
i1
=
i
;
if
(
i1
>
n
)
i1
=
new_n
-
i1
;
UInt
j1
=
j
;
if
(
j1
>
n
)
j1
=
new_n
-
j1
;
if
(
i
==
n
||
j
==
n
)
{
this
->
at
(
i
,
j
)
=
0.
;
continue
;
}
this
->
at
(
i
,
j
)
=
s
(
i1
,
j1
);
}
}
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
expandByPuttingZeros
()
{
UInt
n
=
this
->
size
();
UInt
new_n
=
n
*
2
;
Surface
s
(
*
this
);
this
->
setGridSize
(
new_n
);
for
(
UInt
i
=
0
;
i
<
n
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
n
;
j
++
)
{
this
->
at
(
2
*
i
,
j
*
2
)
=
s
(
i
,
j
);
}
}
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
contractByTakingSubRegion
()
{
UInt
n
=
this
->
size
();
Surface
s
(
*
this
);
this
->
setGridSize
(
n
/
2
);
for
(
UInt
i
=
0
;
i
<
n
/
2
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
n
/
2
;
j
++
)
{
this
->
at
(
i
,
j
)
=
s
(
i
,
j
);
}
}
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
contractByIgnoringMidPoints
()
{
UInt
n
=
this
->
size
();
Surface
s
(
*
this
);
this
->
setGridSize
(
n
/
2
);
for
(
UInt
i
=
0
;
i
<
n
;
i
++
)
{
for
(
UInt
j
=
0
;
j
<
n
;
j
++
)
{
if
(
i
%
2
)
continue
;
if
(
j
%
2
)
continue
;
this
->
at
(
i
/
2
,
j
/
2
)
=
s
(
i
,
j
);
}
}
}
/* -------------------------------------------------------------------------- */
// void Surface<T>::dumpToTextFile(string filename, bool pr) {
// cout << "Writing surface file " << filename << endl;
// ofstream file(filename.c_str());
// file.precision(15);
// if (pr)
// {
// for (int i=0; i<n; i++) {
// for (int j=0; j<n; j++) {
// file << i << " " << j << " ";
// if (heights[i+j*n].real() < 1e-10)
// file << scientific << -1e10 << " " << 0;
// else
// file << scientific << heights[i+j*n].real() << " " << heights[i+j*n].im;
// file << endl;
// }
// file << endl;
// }
// }
// else
// {
// for (int i=0; i<n; i++) {
// for (int j=0; j<n; j++) {
// file << i << " " << j << " ";
// file << scientific << heights[i+j*n].real() << " " << heights[i+j*n].im;
// file << endl;
// }
// }
// }
// file.close();
// }
/* -------------------------------------------------------------------------- */
// Surface * Surface<T>::loadFromTextFile(std::string filename) {
// std::string line;
// std::ifstream myfile (filename.c_str());
// if (!myfile.is_open()){
// SURFACE_FATAL("cannot open file " << filename);
// }
// Surface * my_surface = NULL;
// UInt n = 0;
// if (myfile.is_open())
// {
// while (! myfile.eof() )
// {
// getline (myfile,line);
// if (line[0] == '#')
// continue;
// if (line.size() == 0)
// continue;
// std::stringstream s;
// s << line;
// int i,j;
// s >> i;
// s >> j;
// if (n < i) n = i;
// if (n < j) n = j;
// }
// ++n;
// std::cout << "read " << n << " x " << n << " grid points" << std::endl;
// myfile.clear(); // forget we hit the end of file
// myfile.seekg(0, std::ios::beg); // move to the start of the file
// my_surface = new Surface(n);
// while (! myfile.eof() )
// {
// getline (myfile,line);
// if (line[0] == '#')
// continue;
// if (line.size() == 0)
// continue;
// std::stringstream s;
// s << line;
// int i,j;
// Real h,hIm;
// s >> i;
// s >> j;
// s >> h;
// s >> hIm;
// my_surface->heights[i+j*n] = complex(h,hIm);
// }
// myfile.close();
// }
// return my_surface;
// }
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
dumpToParaview
(
std
::
string
filename
)
const
{
#ifdef USING_IOHELPER
UInt
n
=
this
->
size
();
const
Surface
&
data
=
*
this
;
/* build 3D coordinates array to be usable with iohelper */
// cerr << "allocate coords for paraview" << endl;
Real
*
coords
=
new
Real
[
n
*
n
*
3
];
//Real * coords = new Real[(2*n-1)*(2*n-1)*3];
//cerr << "allocate zcoords for paraview" << endl;
Real
*
zcoords
=
new
Real
[
n
*
n
*
3
];
//Real * zcoords = new Real[(2*n-1)*(2*n-1)*3];
//cerr << "allocate zcoords2 for paraview" << endl;
Real
*
zcoords2
=
new
Real
[
n
*
n
*
3
];
// Real * zcoords2 = new Real[(2*n-1)*(2*n-1)*3];
int
index
=
0
;
// for (int i=-n+1; i<n; i++) {
// for (int j=-n+1; j<n; j++) {
for
(
int
i
=
0
;
i
<
n
;
i
++
)
{
for
(
int
j
=
0
;
j
<
n
;
j
++
)
{
coords
[
3
*
index
]
=
1.
*
i
/
n
;
coords
[
3
*
index
+
1
]
=
1.
*
j
/
n
;
coords
[
3
*
index
+
2
]
=
0
;
zcoords
[
3
*
index
]
=
0
;
zcoords
[
3
*
index
+
1
]
=
0
;
zcoords2
[
3
*
index
]
=
0
;
zcoords2
[
3
*
index
+
1
]
=
0
;
int
i1
=
(
i
%
n
);
int
j1
=
(
j
%
n
);
if
(
i1
<
0
)
i1
+=
n
;
if
(
j1
<
0
)
j1
+=
n
;
zcoords
[
3
*
index
+
2
]
=
data
(
i1
,
j1
).
real
();
zcoords2
[
3
*
index
+
2
]
=
data
(
i1
,
j1
).
imag
();
++
index
;
}
}
iohelper
::
DumperParaview
dumper
;
dumper
.
setPoints
(
coords
,
3
,
index
,
filename
.
c_str
());
dumper
.
setConnectivity
(
NULL
,
iohelper
::
POINT_SET
,
1
,
iohelper
::
FORTRAN_MODE
);
dumper
.
addNodeDataField
(
"data.re"
,
zcoords
,
3
,
index
);
dumper
.
addNodeDataField
(
"data.im"
,
zcoords2
,
3
,
index
);
dumper
.
setPrefix
(
"./paraview"
);
dumper
.
init
();
dumper
.
dump
();
delete
[]
coords
;
delete
[]
zcoords
;
delete
[]
zcoords2
;
#endif
//USING_IOHELPER
}
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
Surface
<
T
>::
Surface
(
UInt
a
,
Real
L
)
:
Map2dSquare
<
T
>
(
a
,
L
){
this
->
setGridSize
(
a
);
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
Surface
<
T
>::~
Surface
(){
}
/* -------------------------------------------------------------------------- */
// void Surface<T>::copy(Surface & s){
// this->n = s.n;
// this->L = s.L;
// this->heights = s.heights;
// }
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
recenterHeights
(){
UInt
n
=
this
->
size
();
Real
zmean
=
SurfaceStatistics
::
computeAverage
(
*
this
);
for
(
UInt
i
=
0
;
i
<
n
*
n
;
++
i
)
this
->
at
(
i
)
=
this
->
at
(
i
)
-
zmean
;
}
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
void
Surface
<
T
>::
generateWhiteNoiseSurface
(
Surface
<
Real
>
&
sources
,
long
random_seed
){
//set the random gaussian generator
std
::
mt19937
gen
(
random_seed
);
std
::
normal_distribution
<>
gaussian_generator
;
UInt
n
=
sources
.
size
();
for
(
UInt
i
=
0
;
i
<
n
;
++
i
)
for
(
UInt
j
=
0
;
j
<
n
;
++
j
){
sources
(
i
,
j
)
=
gaussian_generator
(
gen
);
}
}
/* -------------------------------------------------------------------------- */
template
class
Surface
<
Real
>
;
template
class
Surface
<
unsigned
long
>
;
template
class
Surface
<
UInt
>
;
template
class
Surface
<
int
>
;
template
class
Surface
<
bool
>
;
__END_TAMAAS__
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