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surface_generator_voss.cpp
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rTAMAAS tamaas
surface_generator_voss.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 "surface_generator_voss.hh"
#include "math.h"
#include <iostream>
#include <fstream>
#include "surface_statistics.hh"
/* -------------------------------------------------------------------------- */
#define TWOPOW(A) (pow(2.0,((Real)(A))))
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
using
namespace
std
;
/* -------------------------------------------------------------------------- */
SurfaceGeneratorVoss
::
SurfaceGeneratorVoss
()
:
SurfaceGenerator
(){
}
/* -------------------------------------------------------------------------- */
/* Check if a number is a power of two */
int
isPowerOfTwo
(
unsigned
int
x
)
{
return
((
x
!=
0
)
&&
((
x
&
(
~
x
+
1
))
==
x
));
}
/* -------------------------------------------------------------------------- */
void
SurfaceGeneratorVoss
::
Init
(){
SurfaceGenerator
::
Init
();
int
gridsize
=
surface
->
size
();
/* Post-process Hurst exponent */
if
((
Hurst
<
0
)
||
(
Hurst
>
1
))
{
SURFACE_FATAL
(
"Hurst exponent should be between 0.0 and 1.0"
);
}
if
(
!
isPowerOfTwo
(
gridsize
))
SURFACE_FATAL
(
"Grid size should be a power of two and is "
<<
gridsize
);
Nloops
=
(
int
)(
log
(
gridsize
)
/
log
(
2.0
));
/* Post-process RMS */
if
((
rms
<
0
)
||
(
fabs
(
rms
)
<
1e-10
))
{
SURFACE_FATAL
(
"RMS should be larger than zero"
);
}
/* Initialize specific lists for the surface algorithm */
Nsquares
=
(
int
*
)
malloc
((
gridsize
+
1
)
*
sizeof
(
int
));
Ndiamonds
=
(
int
*
)
malloc
((
gridsize
+
1
)
*
sizeof
(
int
));
return
;
}
/* -------------------------------------------------------------------------- */
void
SurfaceGeneratorVoss
::
createRoughSurface
(
Real
*
err
)
{
int
i
,
j
,
k
,
p
,
n
;
int
nsquares
,
ndiamonds
;
int
dns
,
dnd
;
int
midx
,
midy
;
int
top
,
bot
,
lft
,
rgt
;
Real
rval
,
roughparam
;
Real
curval
,
newval
;
Real
min
,
max
,
avg
,
scaling
;
/* Set some variables */
int
gridsize
=
surface
->
size
();
n
=
gridsize
+
1
;
roughparam
=
1.0
;
/* Initiate the dynamic arrays */
for
(
i
=
0
;
i
<
n
;
i
++
)
{
Nsquares
[
i
]
=
0
;
Ndiamonds
[
i
]
=
0
;
}
/* Fill the surface arrays with zeros */
for
(
i
=
0
;
i
<
(
n
*
n
);
i
++
)
{
surface
->
at
(
i
)
=
0.0
;
}
/* Put random values on the corner points */
SURFACE_FATAL
(
"AAAAAAAAAAAAAAAA"
);
// rval = roughness(roughparam);
surface
->
at
(
0
)
=
rval
;
surface
->
at
((
n
*
n
)
-
1
)
=
rval
;
surface
->
at
(
n
-
1
)
=
rval
;
surface
->
at
((
n
*
n
)
-
n
)
=
rval
;
/* Start the looping */
for
(
p
=
0
;
p
<
Nloops
;
p
++
)
{
/* First the squares */
nsquares
=
(
int
)
TWOPOW
(
p
);
dns
=
gridsize
/
nsquares
;
Nsquares
[
0
]
=
0
;
/* Should be zero always, just to be sure */
for
(
i
=
1
;
i
<
(
nsquares
+
1
);
i
++
)
{
Nsquares
[
i
]
=
Nsquares
[
i
-
1
]
+
dns
;
}
for
(
i
=
0
;
i
<
nsquares
;
i
++
)
{
for
(
j
=
0
;
j
<
nsquares
;
j
++
)
{
curval
=
0
;
curval
+=
surface
->
at
(
Nsquares
[
i
]
+
n
*
Nsquares
[
j
]
);
curval
+=
surface
->
at
(
Nsquares
[
i
+
1
]
+
n
*
Nsquares
[
j
]
);
curval
+=
surface
->
at
(
Nsquares
[
i
]
+
n
*
Nsquares
[
j
+
1
]);
curval
+=
surface
->
at
(
Nsquares
[
i
+
1
]
+
n
*
Nsquares
[
j
+
1
]);
SURFACE_FATAL
(
"AAAAAAAAAAAAAAAA"
);
// newval = 0.25*curval + roughness(roughparam);
midx
=
Nsquares
[
i
+
1
]
-
dns
/
2
;
midy
=
Nsquares
[
j
+
1
]
-
dns
/
2
;
surface
->
at
(
midx
+
n
*
midy
)
+=
newval
;
}
}
/* Then the edges of the squares */
ndiamonds
=
(
int
)
TWOPOW
(
p
+
1
);
dnd
=
gridsize
/
ndiamonds
;
Ndiamonds
[
0
]
=
0
;
/* Should be zero always, just to be sure */
for
(
i
=
1
;
i
<
(
ndiamonds
+
1
);
i
++
)
{
Ndiamonds
[
i
]
=
Ndiamonds
[
i
-
1
]
+
dnd
;
}
for
(
i
=
0
,
k
=
0
;
i
<
(
ndiamonds
+
1
);
i
++
)
{
for
(
j
=
0
;
j
<
(
ndiamonds
+
1
);
j
++
,
k
++
)
{
if
((
k
%
2
)
==
1
)
{
top
=
Ndiamonds
[
j
]
+
dnd
;
top
+=
top
<
0
?
gridsize:
0
;
top
-=
top
>
gridsize
?
gridsize:
0
;
bot
=
Ndiamonds
[
j
]
-
dnd
;
bot
+=
bot
<
0
?
gridsize:
0
;
bot
-=
bot
>
gridsize
?
gridsize:
0
;
lft
=
Ndiamonds
[
i
]
+
dnd
;
lft
+=
lft
<
0
?
gridsize:
0
;
lft
-=
lft
>
gridsize
?
gridsize:
0
;
rgt
=
Ndiamonds
[
i
]
-
dnd
;
rgt
+=
rgt
<
0
?
gridsize:
0
;
rgt
-=
rgt
>
gridsize
?
gridsize:
0
;
curval
=
0
;
curval
+=
surface
->
at
(
rgt
+
n
*
(
Ndiamonds
[
j
]));
curval
+=
surface
->
at
(
lft
+
n
*
(
Ndiamonds
[
j
]));
curval
+=
surface
->
at
(
Ndiamonds
[
i
]
+
n
*
(
bot
)
);
curval
+=
surface
->
at
(
Ndiamonds
[
i
]
+
n
*
(
top
)
);
SURFACE_FATAL
(
"AAAAAAAAAAAAAAAA"
);
// newval = 0.25*curval + roughness(roughparam);
surface
->
at
(
Ndiamonds
[
i
]
+
n
*
Ndiamonds
[
j
])
+=
newval
;
}
}
}
/* And now keep things periodic */
for
(
i
=
0
;
i
<
n
;
i
++
)
{
surface
->
at
(
i
+
n
*
(
n
-
1
))
=
surface
->
at
(
i
);
surface
->
at
((
n
-
1
)
+
n
*
i
)
=
surface
->
at
(
n
*
i
);
}
/* Update roughness parameter */
roughparam
*=
TWOPOW
(
-
Hurst
);
}
/* Reformat the grid */
min
=
SurfaceStatistics
::
computeMinimum
(
*
surface
);
max
=
SurfaceStatistics
::
computeMaximum
(
*
surface
);
avg
=
SurfaceStatistics
::
computeAverage
(
*
surface
);
scaling
=
rms
/
(
max
-
min
);
for
(
i
=
0
;
i
<
(
n
*
n
);
i
++
)
{
surface
->
at
(
i
)
-=
avg
;
surface
->
at
(
i
)
*=
scaling
;
}
/* Error estimate */
*
err
=
fabs
(
surface
->
at
(
0
)
-
SurfaceStatistics
::
computeAverage
(
*
surface
));
return
;
}
Surface
<
Real
>
&
SurfaceGeneratorVoss
::
buildSurface
(){
//int i, j, n;
int
n
;
Real
err
;
int
gridsize
=
surface
->
size
();
/* Allocate the surface arrays */
n
=
gridsize
+
1
;
surface
=
new
Surface
<
Real
>
(
n
,
1.
);
// heights = (Real *)allocate(n*n*sizeof(Real),"heights");
/* Build the top surface */
fprintf
(
stdout
,
"Building surface...
\n
"
);
fflush
(
stdout
);
err
=
rms
;
while
(
err
>
(
rms
/
4
))
{
createRoughSurface
(
&
err
);
}
return
*
surface
;
}
__END_TAMAAS__
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