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R1448 Lenstool-HPC
main.cpp
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/**
* @file main.cpp
* @Author Christoph Schaaefer, EPFL (christophernstrerne.schaefer@epfl.ch)
* @date October 2016
* @brief Benchmark for gradhalo function
*/
#include <iostream>
#include <iomanip>
#include <string.h>
#include <math.h>
#include <sys/time.h>
#include <fstream>
#include <sys/stat.h>
#include <unistd.h>
//
//#include <mm_malloc.h>
#include <omp.h>
//
//#include <cuda_runtime.h>
#include <structure_hpc.hpp>
//#include <cuda.h>
#include "timer.h"
#include "gradient.hpp"
#include "chi_CPU.hpp"
#include "module_cosmodistances.hpp"
#include "module_readParameters.hpp"
#include "grid_gradient2_CPU.hpp"
#include "grid_amplif_CPU.hpp"
#include "module_writeFits.hpp"
#ifdef __WITH_GPU
#include "grid_gradient_GPU.cuh"
#include "grid_map_GPU.cuh"
#include "grid_gradient2_GPU.cuh"
//#include "gradient2_GPU.cuh"
#endif
#ifdef __WITH_LENSTOOL
#include "setup.hpp"
#warning "linking with libtool..."
#include<fonction.h>
#include<constant.h>
#include<dimension.h>
#include<structure.h>
#include<lt.h>
#include <stdlib.h>
//
//
struct
g_mode
M
;
struct
g_pot
P
[
NPOTFILE
];
struct
g_pixel
imFrame
,
wFrame
,
ps
,
PSF
;
struct
g_cube
cubeFrame
;
struct
g_dyn
Dy
;
// //TV
//
struct
g_source
S
;
struct
g_image
I
;
struct
g_grille
G
;
struct
g_msgrid
H
;
// multi-scale grid
struct
g_frame
F
;
struct
g_large
L
;
struct
g_cosmo
C
;
struct
g_cline
CL
;
struct
g_observ
O
;
struct
pot
lens
[
NLMAX
];
struct
pot
lmin
[
NLMAX
],
lmax
[
NLMAX
],
prec
[
NLMAX
];
struct
g_cosmo
clmin
,
clmax
;
/*cosmological limits*/
struct
galaxie
smin
[
NFMAX
],
smax
[
NFMAX
];
// limits on source parameters
struct
ipot
ip
;
struct
MCarlo
mc
;
struct
vfield
vf
;
struct
vfield
vfmin
,
vfmax
;
// limits on velocity field parameters
struct
cline
cl
[
NIMAX
];
lensdata
*
lens_table
;
//
int
block
[
NLMAX
][
NPAMAX
];
/*switch for the lens optimisation*/
int
cblock
[
NPAMAX
];
/*switch for the cosmological optimisation*/
int
sblock
[
NFMAX
][
NPAMAX
];
/*switch for the source parameters*/
int
vfblock
[
NPAMAX
];
/*switch for the velocity field parameters*/
double
excu
[
NLMAX
][
NPAMAX
];
double
excd
[
NLMAX
][
NPAMAX
];
/* supplments tableaux de valeurs pour fonctions g pour Einasto
* * Ce sont trois variables globales qu'on pourra utiliser dans toutes les fonctions du projet
* */
#define CMAX 20
#define LMAX 80
float
Tab1
[
LMAX
][
CMAX
];
float
Tab2
[
LMAX
][
CMAX
];
float
Tab3
[
LMAX
][
CMAX
];
int
nrline
,
ntline
,
flagr
,
flagt
;
long
int
narclet
;
struct
point
gimage
[
NGGMAX
][
NGGMAX
],
gsource_global
[
NGGMAX
][
NGGMAX
];
struct
biline
radial
[
NMAX
],
tangent
[
NMAX
];
struct
galaxie
arclet
[
NAMAX
],
source
[
NFMAX
],
image
[
NFMAX
][
NIMAX
];
struct
galaxie
cimage
[
NFMAX
];
struct
pointgal
gianti
[
NPMAX
][
NIMAX
];
struct
point
SC
;
double
elix
;
double
alpha_e
;
double
*
v_xx
;
double
*
v_yy
;
double
**
map_p
;
double
**
tmp_p
;
double
**
map_axx
;
double
**
map_ayy
;
#endif
double
**
alloc_square_double_test
(
int
nbr_lin
,
int
nbr_col
)
{
auto
double
**
square
;
register
int
i
,
j
;
square
=
(
double
**
)
malloc
((
unsigned
)
nbr_lin
*
sizeof
(
double
*
));
if
(
square
!=
0
)
{
for
(
i
=
0
;
i
<
nbr_lin
;
i
++
)
{
square
[
i
]
=
(
double
*
)
malloc
((
unsigned
)
nbr_col
*
sizeof
(
double
));
if
(
square
[
i
]
==
0
)
square
=
0
;
}
}
for
(
i
=
0
;
i
<
nbr_lin
;
i
++
)
for
(
j
=
0
;
j
<
nbr_col
;
j
++
)
square
[
i
][
j
]
=
0.0
;
return
(
square
);
}
int
**
alloc_square_int_test
(
int
nbr_lin
,
int
nbr_col
)
{
auto
int
**
square
;
register
int
i
,
j
;
square
=
(
int
**
)
malloc
((
unsigned
)
nbr_lin
*
sizeof
(
int
*
));
if
(
square
!=
0
)
{
for
(
i
=
0
;
i
<
nbr_lin
;
i
++
)
{
square
[
i
]
=
(
int
*
)
malloc
((
unsigned
)
nbr_col
*
sizeof
(
int
));
if
(
square
[
i
]
==
0
)
square
=
0
;
}
}
for
(
i
=
0
;
i
<
nbr_lin
;
i
++
)
for
(
j
=
0
;
j
<
nbr_col
;
j
++
)
square
[
i
][
j
]
=
0
;
return
(
square
);
}
void
free_square_double_test
(
double
**
square
,
int
nbr_lin
)
{
register
int
i
;
if
(
square
!=
NULL
)
{
for
(
i
=
0
;
i
<
nbr_lin
;
i
++
)
free
(
square
[
i
]);
free
((
double
*
)
square
);
}
}
void
free_square_int_test
(
int
**
square
,
int
nbr_lin
)
{
register
int
i
;
for
(
i
=
0
;
i
<
nbr_lin
;
i
++
)
free
((
int
*
)
square
[
i
]);
free
((
int
*
)
square
);
}
void
gradient_grid_GPU_sorted
(
type_t
*
grid_grad_x
,
type_t
*
grid_grad_y
,
const
struct
grid_param
*
frame
,
const
struct
Potential_SOA
*
lens
,
int
Nlens
,
int
nbgridcells
);
//
//
int
module_readCheckInput_readInput
(
int
argc
,
char
*
argv
[],
std
::
string
*
outdir
)
{
/// check if there is a correct number of arguments, and store the name of the input file in infile
char
*
infile
;
struct
stat
file_stat
;
// If we do not have 3 arguments, stop
if
(
argc
!=
3
)
{
fprintf
(
stderr
,
"
\n
Unexpected number of arguments
\n
"
);
fprintf
(
stderr
,
"
\n
USAGE:
\n
"
);
fprintf
(
stderr
,
"lenstool input_file output_directorypath [-n]
\n\n
"
);
exit
(
-
1
);
}
else
if
(
argc
==
3
)
infile
=
argv
[
1
];
std
::
ifstream
ifile
(
infile
,
std
::
ifstream
::
in
);
// Open the file
int
ts
=
(
int
)
time
(
NULL
);
char
buffer
[
10
];
std
::
stringstream
ss
;
ss
<<
ts
;
std
::
string
trimstamp
=
ss
.
str
();
//
//std::string outdir = argv[2];
*
outdir
=
argv
[
2
];
*
outdir
+=
"-"
;
*
outdir
+=
trimstamp
;
std
::
cout
<<
*
outdir
<<
std
::
endl
;
// check whether the output directory already exists
if
(
stat
(
outdir
->
c_str
(),
&
file_stat
)
<
0
){
mkdir
(
outdir
->
c_str
(),
S_IRUSR
|
S_IWUSR
|
S_IXUSR
|
S_IRGRP
|
S_IWGRP
|
S_IXGRP
|
S_IROTH
);
}
else
{
printf
(
"Error : Directory %s already exists. Specify a non existing directory.
\n
"
,
argv
[
2
]);
exit
(
-
1
);
}
// check whether the input file exists. If it could not be opened (ifile = 0), it does not exist
if
(
ifile
){
ifile
.
close
();
}
else
{
printf
(
"The file %s does not exist, please specify a valid file name
\n
"
,
infile
);
exit
(
-
1
);
}
return
0
;
}
//
//
//
int
main
(
int
argc
,
char
*
argv
[])
{
//
// Setting Up the problem
//
// This module function reads the terminal input when calling LENSTOOL and checks that it is correct
// Otherwise it exits LENSTOOL
//
char
cwd
[
1024
];
if
(
getcwd
(
cwd
,
sizeof
(
cwd
))
!=
NULL
)
fprintf
(
stdout
,
"Current working dir: %s
\n
"
,
cwd
);
//
std
::
string
path
;
module_readCheckInput_readInput
(
argc
,
argv
,
&
path
);
//
// This module function reads the cosmology parameters from the parameter file
// Input: struct cosmologicalparameters cosmology, parameter file
// Output: Initialized cosmology struct
cosmo_param
cosmology
;
// Cosmology struct to store the cosmology data from the file
std
::
string
inputFile
=
argv
[
1
];
// Input file
module_readParameters_readCosmology
(
inputFile
,
cosmology
);
//
// This module function reads the runmode paragraph and the number of sources, arclets, etc. in the parameter file.
// The runmode_param stores the information of what exactly the user wants to do with lenstool.
struct
runmode_param
runmode
;
module_readParameters_readRunmode
(
inputFile
,
&
runmode
);
module_readParameters_debug_cosmology
(
runmode
.
debug
,
cosmology
);
module_readParameters_debug_runmode
(
runmode
.
debug
,
runmode
);
//
//=== Declaring variables
//
struct
grid_param
frame
;
struct
galaxy
images
[
runmode
.
nimagestot
];
struct
galaxy
sources
[
runmode
.
nsets
];
struct
Potential
lenses
[
runmode
.
nhalos
+
runmode
.
npotfile
-
1
];
struct
Potential_SOA
lenses_SOA_table
[
NTYPES
];
struct
Potential_SOA
lenses_SOA
;
struct
cline_param
cline
;
struct
potfile_param
potfile
;
struct
Potential
potfilepotentials
[
runmode
.
npotfile
];
struct
potentialoptimization
host_potentialoptimization
[
runmode
.
nhalos
];
int
nImagesSet
[
runmode
.
nsets
];
// Contains the number of images in each set of images
// This module function reads in the potential form and its parameters (e.g. NFW)
// Input: input file
// Output: Potentials and its parameters
module_readParameters_PotentialSOA_direct
(
inputFile
,
&
lenses_SOA
,
runmode
.
nhalos
,
runmode
.
npotfile
,
cosmology
);
module_readParameters_debug_potential_SOA
(
1
,
lenses_SOA
,
runmode
.
nhalos
);
//std::cerr <<"b0: "<< lenses_SOA.b0[0] << std::endl;
//module_readParameters_Potential(inputFile, lenses, runmode.nhalos);
//Converts to SOA
//module_readParameters_PotentialSOA(inputFile, lenses, &lenses_SOA, runmode.nhalos);
//module_readParameters_debug_potential(runmode.debug, lenses, runmode.nhalos);
// This module function reads in the potfiles parameters
// Input: input file
// Output: Potentials from potfiles and its parameters
if
(
runmode
.
potfile
==
1
)
{
module_readParameters_readpotfiles_param
(
inputFile
,
&
potfile
,
cosmology
);
module_readParameters_debug_potfileparam
(
1
,
&
potfile
);
module_readParameters_readpotfiles_SOA
(
&
runmode
,
&
cosmology
,
&
potfile
,
&
lenses_SOA
);
module_readParameters_debug_potential_SOA
(
1
,
lenses_SOA
,
runmode
.
nhalos
+
runmode
.
npotfile
);
}
//
// This module function reads in the grid form and its parameters
// Input: input file
// Output: grid and its parameters
//
module_readParameters_Grid
(
inputFile
,
&
frame
);
//
if
(
runmode
.
image
==
1
or
runmode
.
inverse
==
1
or
runmode
.
time
>
0
)
{
// This module function reads in the strong lensing images
module_readParameters_readImages
(
&
runmode
,
images
,
nImagesSet
);
//runmode.nsets = runmode.nimagestot;
for
(
int
i
=
0
;
i
<
runmode
.
nimagestot
;
++
i
)
{
images
[
i
].
dls
=
module_cosmodistances_objectObject
(
lenses
[
0
].
z
,
images
[
i
].
redshift
,
cosmology
);
images
[
i
].
dos
=
module_cosmodistances_observerObject
(
images
[
i
].
redshift
,
cosmology
);
images
[
i
].
dr
=
module_cosmodistances_lensSourceToObserverSource
(
lenses
[
0
].
z
,
images
[
i
].
redshift
,
cosmology
);
}
module_readParameters_debug_image
(
runmode
.
debug
,
images
,
nImagesSet
,
runmode
.
nsets
);
}
//
if
(
runmode
.
inverse
==
1
)
{
// This module function reads in the potential optimisation limits
module_readParameters_limit
(
inputFile
,
host_potentialoptimization
,
runmode
.
nhalos
);
module_readParameters_debug_limit
(
runmode
.
debug
,
host_potentialoptimization
[
0
]);
}
//
if
(
runmode
.
source
==
1
)
{
//Initialisation to default values.(Setting sources to z = 1.5 default value)
for
(
int
i
=
0
;
i
<
runmode
.
nsets
;
++
i
)
{
sources
[
i
].
redshift
=
1.5
;
}
// This module function reads in the strong lensing sources
module_readParameters_readSources
(
&
runmode
,
sources
);
//Calculating cosmoratios
for
(
int
i
=
0
;
i
<
runmode
.
nsets
;
++
i
)
{
sources
[
i
].
dls
=
module_cosmodistances_objectObject
(
lenses
[
0
].
z
,
sources
[
i
].
redshift
,
cosmology
);
sources
[
i
].
dos
=
module_cosmodistances_observerObject
(
sources
[
i
].
redshift
,
cosmology
);
sources
[
i
].
dr
=
module_cosmodistances_lensSourceToObserverSource
(
lenses
[
0
].
z
,
sources
[
i
].
redshift
,
cosmology
);
}
module_readParameters_debug_source
(
runmode
.
debug
,
sources
,
runmode
.
nsets
);
}
//
//
//
std
::
cout
<<
"--------------------------"
<<
std
::
endl
<<
std
::
endl
;
fflush
(
stdout
);
double
t_1
,
t_2
,
t_3
,
t_4
;
//
//
//
#ifdef __WITH_LENSTOOL
printf
(
"Setting up lenstool using %d lenses..."
,
runmode
.
nhalos
);
fflush
(
stdout
);
convert_to_LT
(
&
lenses_SOA
,
runmode
.
nhalos
);
printf
(
"ok
\n
"
);
#endif
//
// Lenstool-CPU Grid-Gradient
//
#include "gradient2.hpp"
//Setting Test:
type_t
dx
,
dy
;
int
grid_dim
=
runmode
.
nbgridcells
;
//
dx
=
(
frame
.
xmax
-
frame
.
xmin
)
/
(
runmode
.
nbgridcells
-
1
);
dy
=
(
frame
.
ymax
-
frame
.
ymin
)
/
(
runmode
.
nbgridcells
-
1
);
//
type_t
iamp
=
5
;
#ifdef __WITH_LENSTOOL
std
::
cout
<<
" CPU Test Lenstool ... "
;
//type_t *ampli;
//ampli = (type_t *) malloc((int) (runmode.nbgridcells) * (runmode.nbgridcells) * sizeof(type_t));
F
.
xmin
=
F
.
ymin
=
frame
.
xmin
;
F
.
xmax
=
F
.
ymax
=
frame
.
xmax
;
G
.
nlens
=
runmode
.
nhalos
;
double
**
ampli
;
int
**
namp
;
double
z
=
runmode
.
z_amplif
;
int
np
=
runmode
.
nbgridcells
;
double
dl0s
=
module_cosmodistances_objectObject
(
lens
[
0
].
z
,
z
,
cosmology
);
double
dos
=
module_cosmodistances_observerObject
(
z
,
cosmology
);
double
dlsds
=
dl0s
/
dos
;
point
pi
;
int
i
,
j
;
double
t_lt
=
-
myseconds
();
//#pragma omp parallel for if (omp_get_num_threads() > 1) schedule(guided, 100)
//#pragma omp parallel for
#if 1
ampli
=
(
double
**
)
alloc_square_double_test
(
np
,
np
);
namp
=
(
int
**
)
alloc_square_int_test
(
np
,
np
);
/* Make sure we have empty arrays */
for
(
j
=
0
;
j
<
np
;
j
++
)
for
(
i
=
0
;
i
<
np
;
i
++
)
{
ampli
[
i
][
j
]
=
0.
;
namp
[
i
][
j
]
=
0
;
}
if
(
iamp
>
0
)
{
//#pragma omp parallel for
for
(
j
=
0
;
j
<
np
;
j
++
)
{
struct
matrix
MA
;
struct
ellipse
amp
;
double
kappa
,
ga1
,
ga2
,
gam
,
gp
;
pi
.
y
=
j
*
(
F
.
ymax
-
F
.
ymin
)
/
(
np
-
1
)
+
F
.
ymin
;
for
(
i
=
0
;
i
<
np
;
i
++
)
{
pi
.
x
=
i
*
(
F
.
xmax
-
F
.
xmin
)
/
(
np
-
1
)
+
F
.
xmin
;
amp
=
e_unmag
(
&
pi
,
dl0s
,
dos
,
z
);
/*amplification*/
if
(
iamp
==
1
)
ampli
[
j
][
i
]
=
1.
/
(
amp
.
a
*
amp
.
b
);
/*absolute value of amplification*/
else
if
(
iamp
==
2
)
ampli
[
j
][
i
]
=
1.
/
fabs
(
amp
.
a
*
amp
.
b
);
/*amplification in magnitudes*/
else
if
(
iamp
==
3
)
ampli
[
j
][
i
]
=
-
2.5
*
log10
(
fabs
(
amp
.
a
*
amp
.
b
));
/**/
else
if
(
iamp
==
4
)
{
MA
=
e_grad2
(
&
pi
,
dl0s
,
z
);
MA
.
a
/=
dos
;
MA
.
b
/=
dos
;
MA
.
c
/=
dos
;
kappa
=
(
MA
.
a
+
MA
.
c
)
/
2.
;
ga1
=
(
MA
.
a
-
MA
.
c
)
/
2.
;
ga2
=
MA
.
b
;
gam
=
sqrt
(
ga1
*
ga1
+
ga2
*
ga2
);
/*gamma*/
gp
=
gam
/
(
1
-
kappa
);
ampli
[
j
][
i
]
=
(
1
-
kappa
)
*
(
1
+
gp
*
gp
)
/
(
1
-
gp
*
gp
);
}
else
if
(
iamp
==
5
||
iamp
==
6
)
{
MA
=
e_grad2
(
&
pi
,
dl0s
,
z
);
MA
.
a
/=
dl0s
;
MA
.
b
/=
dl0s
;
MA
.
c
/=
dl0s
;
kappa
=
(
MA
.
a
+
MA
.
c
)
/
2.
;
ga1
=
(
MA
.
a
-
MA
.
c
)
/
2.
;
ga2
=
MA
.
b
;
gam
=
sqrt
(
ga1
*
ga1
+
ga2
*
ga2
);
if
(
iamp
==
5
)
ampli
[
j
][
i
]
=
kappa
;
else
if
(
iamp
==
6
)
ampli
[
j
][
i
]
=
gam
;
}
/*amplification^-1*/
else
ampli
[
j
][
i
]
=
(
amp
.
a
*
amp
.
b
);
};
};
}
#endif
t_lt
+=
myseconds
();
std
::
cout
<<
" Time = "
<<
t_lt
<<
" s."
<<
std
::
endl
;
#endif
//
std
::
cout
<<
" CPU Test lenstool_hpc... "
;
//
type_t
*
ampli_CPU
;
ampli_CPU
=
(
type_t
*
)
malloc
((
int
)
(
runmode
.
nbgridcells
)
*
(
runmode
.
nbgridcells
)
*
sizeof
(
type_t
));
memset
(
ampli_CPU
,
0
,
(
runmode
.
nbgridcells
)
*
(
runmode
.
nbgridcells
)
*
sizeof
(
type_t
));
int
Nstat
=
1
;
t_1
=
-
myseconds
();
for
(
int
ii
=
0
;
ii
<
Nstat
;
++
ii
)
{
amplif_grid_CPU
(
ampli_CPU
,
&
cosmology
,
&
frame
,
&
lenses_SOA
,
runmode
.
nhalos
,
grid_dim
,
runmode
.
amplif
,
runmode
.
z_amplif
);
}
t_1
+=
myseconds
();
//
std
::
cout
<<
" Time = "
<<
std
::
setprecision
(
15
)
<<
t_1
<<
std
::
endl
;
#if 1
#ifdef __WITH_GPU
// GPU test
std
::
cout
<<
" GPU Test... "
;
//
type_t
*
ampli_GPU
=
(
type_t
*
)
malloc
((
int
)
(
runmode
.
nbgridcells
)
*
(
runmode
.
nbgridcells
)
*
sizeof
(
type_t
));
//
memset
(
ampli_GPU
,
0
,
(
runmode
.
nbgridcells
)
*
(
runmode
.
nbgridcells
)
*
sizeof
(
type_t
));
//
ampli_GPU
=
(
type_t
*
)
malloc
((
int
)
(
runmode
.
nbgridcells
)
*
(
runmode
.
nbgridcells
)
*
sizeof
(
type_t
));
//
t_2
=
-
myseconds
();
for
(
int
ii
=
0
;
ii
<
Nstat
;
++
ii
)
{
map_gpu_function_t
map_gpu_func
=
&
amplif_grid_CPU_GPU
;
map_grid_GPU
(
map_gpu_func
,
ampli_GPU
,
&
cosmology
,
&
frame
,
&
lenses_SOA
,
runmode
.
nhalos
,
grid_dim
,
runmode
.
amplif
,
runmode
.
z_amplif
);
}
std
::
string
file
;
file
=
path
;
file
.
append
(
"/amplif"
);
file
.
append
(
".fits"
);
char
file_char
[
file
.
length
()
+
1
];
strcpy
(
file_char
,
file
.
c_str
());
module_writeFits_Image
(
file_char
,
ampli_GPU
,
grid_dim
,
grid_dim
,
frame
.
xmin
,
frame
.
xmax
,
frame
.
ymin
,
frame
.
ymax
);
//free(amplif);
t_2
+=
myseconds
();
std
::
cerr
<<
"**"
<<
ampli_GPU
[
0
]
<<
std
::
endl
;
std
::
cout
<<
" Time "
<<
std
::
setprecision
(
15
)
<<
t_2
<<
std
::
endl
;
#endif
#endif
std
::
ofstream
myfile
;
#ifdef __WITH_LENSTOOL
{
type_t
norm_a
=
0.
;
//
for
(
int
ii
=
0
;
ii
<
grid_dim
;
++
ii
)
{
for
(
int
jj
=
0
;
jj
<
grid_dim
;
++
jj
)
{
//std::cerr<< ii << " "<< jj << " " << ii*grid_dim +jj << std::endl;
//std::cerr << ampli[ii][jj] << " ";
norm_a
+=
(
ampli
[
ii
][
jj
]
-
ampli_CPU
[
ii
*
grid_dim
+
jj
])
*
(
ampli
[
ii
][
jj
]
-
ampli_CPU
[
ii
*
grid_dim
+
jj
]);
}
//std::cerr << std::endl;
}
//
std
::
cout
<<
" l2 difference norm cpu = "
<<
std
::
setprecision
(
15
)
<<
norm_a
<<
std
::
endl
;
}
#endif
//
#if 1
#ifdef __WITH_GPU
{
type_t
norm_a
=
0.
;
//
for
(
int
ii
=
0
;
ii
<
grid_dim
;
++
ii
)
{
for
(
int
jj
=
0
;
jj
<
grid_dim
;
++
jj
)
{
//std::cerr<< ii << " "<< jj << " " << ii*grid_dim +jj << std::endl;
//std::cerr << ampli_GPU[ii*grid_dim+jj] << " " << ampli[ii][jj] << std::endl;
norm_a
+=
(
ampli
[
ii
][
jj
]
-
ampli_GPU
[
ii
*
grid_dim
+
jj
])
*
(
ampli
[
ii
][
jj
]
-
ampli_GPU
[
ii
*
grid_dim
+
jj
]);
}
//std::cerr << std::endl;
}
//
std
::
cout
<<
" l2 difference norm gpu = "
<<
std
::
setprecision
(
15
)
<<
norm_a
<<
std
::
endl
;
}
free_square_double_test
(
ampli
,
np
);
free_square_int_test
(
namp
,
np
);
#endif
#endif
}
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