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R1448 Lenstool-HPC
gradient.cpp
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#include <iostream>
#include <string.h>
//#include <cuda_runtime.h>
#include <math.h>
#include <sys/time.h>
#include <fstream>
#include <immintrin.h>
//#include "simd_math.h"
#include "gradient.hpp"
#include "structure.h"
//#include "iacaMarks.h"
//#define __INV RCP
//#define __INV RCP_1NR
//#define __INV RCP_2NR
//#define __SQRT _mm256_sqrt_pd
//#define __SQRT SQRT
//#define __SQRT SQRT_1NR
//#define __SQRT SQRT_2NR
void
module_readParameters_calculatePotentialparameter_SOA
(
Potential_SOA
*
lens
,
int
ii
)
{
//std::cout << "module_readParameters_calculatePotentialparameter..." << std::endl;
switch
(
lens
->
type
[
ii
])
{
case
(
5
)
:
/*Elliptical Isothermal Sphere*/
//impact parameter b0
lens
->
b0
[
ii
]
=
4
*
pi_c2
*
lens
->
vdisp
[
ii
]
*
lens
->
vdisp
[
ii
]
;
//ellipticity_potential
lens
->
ellipticity_potential
[
ii
]
=
lens
->
ellipticity
[
ii
]
/
3
;
break
;
case
(
8
)
:
/* PIEMD */
//impact parameter b0
lens
->
b0
[
ii
]
=
6.
*
pi_c2
*
lens
->
vdisp
[
ii
]
*
lens
->
vdisp
[
ii
];
//ellipticity_parameter
if
(
lens
->
ellipticity
[
ii
]
==
0.
&&
lens
->
ellipticity_potential
[
ii
]
!=
0.
){
// emass is (a2-b2)/(a2+b2)
lens
->
ellipticity
[
ii
]
=
2.
*
lens
->
ellipticity_potential
[
ii
]
/
(
1.
+
lens
->
ellipticity_potential
[
ii
]
*
lens
->
ellipticity_potential
[
ii
]);
//printf("1 : %f %f \n",lens->ellipticity[ii],lens->ellipticity_potential[ii]);
}
else
if
(
lens
->
ellipticity
[
ii
]
==
0.
&&
lens
->
ellipticity_potential
[
ii
]
==
0.
){
lens
->
ellipticity_potential
[
ii
]
=
0.00001
;
//printf("2 : %f %f \n",lens->ellipticity[ii],lens->ellipticity_potential[ii]);
}
else
{
// epot is (a-b)/(a+b)
lens
->
ellipticity_potential
[
ii
]
=
(
1.
-
sqrt
(
1
-
lens
->
ellipticity
[
ii
]
*
lens
->
ellipticity
[
ii
]))
/
lens
->
ellipticity
[
ii
];
//printf("3 : %f %f \n",lens->ellipticity[ii],lens->ellipticity_potential[ii]);
}
break
;
default
:
std
::
cout
<<
"ERROR: LENSPARA profil type of clump "
<<
lens
->
name
<<
" unknown : "
<<
lens
->
type
<<
std
::
endl
;
//printf( "ERROR: LENSPARA profil type of clump %s unknown : %d\n",lens->name, lens->type);
break
;
};
}
//
/**@brief Return the gradient of the projected lens potential for one clump
* !!! You have to multiply by dlsds to obtain the true gradient
* for the expressions, see the papers : JP Kneib & P Natarajan, Cluster Lenses, The Astronomy and Astrophysics Review (2011) for 1 and 2
* and JP Kneib PhD (1993) for 3
*
* @param pImage point where the result is computed in the lens plane
* @param lens mass distribution
*/
//
/// Useful functions
//
//static
complex
piemd_1derivatives_ci05
(
double
x
,
double
y
,
double
eps
,
double
rc
)
{
double
sqe
,
cx1
,
cxro
,
cyro
,
rem2
;
complex
zci
,
znum
,
zden
,
zis
,
zres
;
double
norm
;
//
//std::cout << "piemd_lderivatives" << std::endl;
sqe
=
sqrt
(
eps
);
cx1
=
(
1.
-
eps
)
/
(
1.
+
eps
);
cxro
=
(
1.
+
eps
)
*
(
1.
+
eps
);
cyro
=
(
1.
-
eps
)
*
(
1.
-
eps
);
//
rem2
=
x
*
x
/
cxro
+
y
*
y
/
cyro
;
/*zci=cpx(0.,-0.5*(1.-eps*eps)/sqe);
znum=cpx(cx1*x,(2.*sqe*sqrt(rc*rc+rem2)-y/cx1));
zden=cpx(x,(2.*rc*sqe-y));
zis=pcpx(zci,lncpx(dcpx(znum,zden)));
zres=pcpxflt(zis,b0);*/
// --> optimized code
zci
.
re
=
0
;
zci
.
im
=
-
0.5
*
(
1.
-
eps
*
eps
)
/
sqe
;
znum
.
re
=
cx1
*
x
;
znum
.
im
=
2.
*
sqe
*
sqrt
(
rc
*
rc
+
rem2
)
-
y
/
cx1
;
zden
.
re
=
x
;
zden
.
im
=
2.
*
rc
*
sqe
-
y
;
norm
=
zden
.
re
*
zden
.
re
+
zden
.
im
*
zden
.
im
;
// zis = znum/zden
zis
.
re
=
(
znum
.
re
*
zden
.
re
+
znum
.
im
*
zden
.
im
)
/
norm
;
zis
.
im
=
(
znum
.
im
*
zden
.
re
-
znum
.
re
*
zden
.
im
)
/
norm
;
norm
=
zis
.
re
;
zis
.
re
=
log
(
sqrt
(
norm
*
norm
+
zis
.
im
*
zis
.
im
));
// ln(zis) = ln(|zis|)+i.Arg(zis)
zis
.
im
=
atan2
(
zis
.
im
,
norm
);
// norm = zis.re;
zres
.
re
=
zci
.
re
*
zis
.
re
-
zci
.
im
*
zis
.
im
;
// Re( zci*ln(zis) )
zres
.
im
=
zci
.
im
*
zis
.
re
+
zis
.
im
*
zci
.
re
;
// Im( zci*ln(zis) )
//
//zres.re = zis.re*b0;
//zres.im = zis.im*b0;
//
return
(
zres
);
}
//
//// changes the coordinates of point P into a new basis (rotation of angle theta)
//// y' y x'
//// * | /
//// * | / theta
//// * | /
//// *|--------->x
//
static
struct
point
rotateCoordinateSystem
(
struct
point
P
,
double
theta
)
{
struct
point
Q
;
Q
.
x
=
P
.
x
*
cos
(
theta
)
+
P
.
y
*
sin
(
theta
);
Q
.
y
=
P
.
y
*
cos
(
theta
)
-
P
.
x
*
sin
(
theta
);
return
(
Q
);
}
__attribute__
((
noinline
))
static
struct
point
grad_halo
(
const
struct
point
*
pImage
,
const
struct
Potential
*
lens
)
{
struct
point
true_coord
,
true_coord_rotation
,
result
;
double
R
,
angular_deviation
;
complex
zis
;
//
//std::cout << "grad_halo..." << lens->type << std::endl;
result
.
x
=
result
.
y
=
0.
;
//
/*positionning at the potential center*/
// Change the origin of the coordinate system to the center of the clump
true_coord
.
x
=
pImage
->
x
-
lens
->
position
.
x
;
true_coord
.
y
=
pImage
->
y
-
lens
->
position
.
y
;
//
switch
(
lens
->
type
)
{
case
(
5
)
:
/*Elliptical Isothermal Sphere*/
/*rotation of the coordiante axes to match the potential axes*/
true_coord_rotation
=
rotateCoordinateSystem
(
true_coord
,
lens
->
ellipticity_angle
);
//
R
=
sqrt
(
true_coord_rotation
.
x
*
true_coord_rotation
.
x
*
(
1
-
lens
->
ellipticity
/
3.
)
+
true_coord_rotation
.
y
*
true_coord_rotation
.
y
*
(
1
+
lens
->
ellipticity
/
3.
));
//ellippot = ellipmass/3
result
.
x
=
(
1
-
lens
->
ellipticity
/
3.
)
*
lens
->
b0
*
true_coord_rotation
.
x
/
(
R
);
result
.
y
=
(
1
+
lens
->
ellipticity
/
3.
)
*
lens
->
b0
*
true_coord_rotation
.
y
/
(
R
);
break
;
case
(
8
)
:
/* PIEMD */
/*rotation of the coordiante axes to match the potential axes*/
true_coord_rotation
=
rotateCoordinateSystem
(
true_coord
,
lens
->
ellipticity_angle
);
/*Doing something....*/
zis
=
piemd_1derivatives_ci05
(
true_coord_rotation
.
x
,
true_coord_rotation
.
y
,
lens
->
ellipticity_potential
,
lens
->
rcore
);
//
result
.
x
=
lens
->
b0
*
zis
.
re
;
result
.
y
=
lens
->
b0
*
zis
.
im
;
break
;
default
:
std
::
cout
<<
"ERROR: Grad 1 profil type of clump "
<<
lens
->
name
<<
" unknown : "
<<
lens
->
type
<<
std
::
endl
;
break
;
};
return
result
;
}
//
//
//
struct
point
module_potentialDerivatives_totalGradient
(
const
runmode_param
*
runmode
,
const
struct
point
*
pImage
,
const
struct
Potential
*
lens
)
{
struct
point
grad
,
clumpgrad
;
grad
.
x
=
0
;
grad
.
y
=
0
;
//std::cout << "nhalos = " << runmode->nhalos << std::endl;
for
(
int
i
=
0
;
i
<
runmode
->
nhalos
;
i
++
)
{
clumpgrad
=
grad_halo
(
pImage
,
&
lens
[
i
]);
//compute gradient for each clump separately
//nan check
//std::cout << clumpgrad.x << " " << clumpgrad.y << std::endl;
if
(
clumpgrad
.
x
==
clumpgrad
.
x
or
clumpgrad
.
y
==
clumpgrad
.
y
)
{
// add the gradients
grad
.
x
+=
clumpgrad
.
x
;
grad
.
y
+=
clumpgrad
.
y
;
}
}
//
return
(
grad
);
}
struct
point
grad_halo_piemd_SOA
(
const
struct
point
*
pImage
,
int
iterator
,
const
struct
Potential_SOA
*
lens
)
{
struct
point
clumpgrad
;
clumpgrad
.
x
=
0
;
clumpgrad
.
y
=
0
;
struct
point
true_coord
,
true_coord_rotation
;
//, result;
//double R, angular_deviation;
complex
zis
;
//
//result.x = result.y = 0.;
//
true_coord
.
x
=
pImage
->
x
-
lens
->
position_x
[
iterator
];
true_coord
.
y
=
pImage
->
y
-
lens
->
position_y
[
iterator
];
//
//std::cout << true_coord.x <<" "<< true_coord.y << std::endl;
//
// Change the origin of the coordinate system to the center of the clump
true_coord_rotation
=
rotateCoordinateSystem
(
true_coord
,
lens
->
ellipticity_angle
[
iterator
]);
// std::cout << i << ": " << true_coord.x << " " << true_coord.y << " -> "
// << true_coord_rotation.x << " " << true_coord_rotation.y << std::endl;
//
//double sqe, cx1, cxro, cyro, rem2;
//
double
x
=
true_coord_rotation
.
x
;
double
y
=
true_coord_rotation
.
y
;
double
eps
=
lens
->
ellipticity_potential
[
iterator
];
double
rc
=
lens
->
rcore
[
iterator
];
//
//std::cout << "piemd_lderivatives" << std::endl;
//
double
sqe
=
sqrt
(
eps
);
//
double
cx1
=
(
1.
-
eps
)
/
(
1.
+
eps
);
double
cxro
=
(
1.
+
eps
)
*
(
1.
+
eps
);
double
cyro
=
(
1.
-
eps
)
*
(
1.
-
eps
);
//
double
rem2
=
x
*
x
/
cxro
+
y
*
y
/
cyro
;
//
//zci=cpx(0.,-0.5*(1.-eps*eps)/sqe);
//znum=cpx(cx1*x,(2.*sqe*sqrt(rc*rc+rem2)-y/cx1));
//zden=cpx(x,(2.*rc*sqe-y));
//zis=pcpx(zci,lncpx(dcpx(znum,zden)));
//zres=pcpxflt(zis,b0);
// --> optimized code
complex
zci
,
znum
,
zden
,
zres
;
double
norm
;
//
zci
.
re
=
0
;
zci
.
im
=
-
0.5
*
(
1.
-
eps
*
eps
)
/
sqe
;
//
znum
.
re
=
cx1
*
x
;
znum
.
im
=
2.
*
sqe
*
sqrt
(
rc
*
rc
+
rem2
)
-
y
/
cx1
;
//
zden
.
re
=
x
;
zden
.
im
=
2.
*
rc
*
sqe
-
y
;
norm
=
(
zden
.
re
*
zden
.
re
+
zden
.
im
*
zden
.
im
);
// zis = znum/zden
//
zis
.
re
=
(
znum
.
re
*
zden
.
re
+
znum
.
im
*
zden
.
im
)
/
norm
;
zis
.
im
=
(
znum
.
im
*
zden
.
re
-
znum
.
re
*
zden
.
im
)
/
norm
;
norm
=
zis
.
re
;
zis
.
re
=
log
(
sqrt
(
norm
*
norm
+
zis
.
im
*
zis
.
im
));
// ln(zis) = ln(|zis|)+i.Arg(zis)
zis
.
im
=
atan2
(
zis
.
im
,
norm
);
// norm = zis.re;
zres
.
re
=
zci
.
re
*
zis
.
re
-
zci
.
im
*
zis
.
im
;
// Re( zci*ln(zis) )
zres
.
im
=
zci
.
im
*
zis
.
re
+
zis
.
im
*
zci
.
re
;
// Im( zci*ln(zis) )
//
zis
.
re
=
zres
.
re
;
zis
.
im
=
zres
.
im
;
//
//zres.re = zis.re*b0;
//zres.im = zis.im*b0;
//
//
clumpgrad
.
x
=
lens
->
b0
[
iterator
]
*
zis
.
re
;
clumpgrad
.
y
=
lens
->
b0
[
iterator
]
*
zis
.
im
;
//nan check
//
return
(
clumpgrad
);
}
struct
point
grad_halo_sis_SOA
(
const
struct
point
*
pImage
,
int
iterator
,
const
struct
Potential_SOA
*
lens
)
{
struct
point
true_coord
,
true_coord_rotation
,
result
;
double
R
,
angular_deviation
;
complex
zis
;
result
.
x
=
result
.
y
=
0.
;
/*positionning at the potential center*/
true_coord
.
x
=
pImage
->
x
-
lens
->
position_x
[
iterator
];
// Change the origin of the coordinate system to the center of the clump
true_coord
.
y
=
pImage
->
y
-
lens
->
position_y
[
iterator
];
/*Elliptical Isothermal Sphere*/
/*rotation of the coordiante axes to match the potential axes*/
true_coord_rotation
=
rotateCoordinateSystem
(
true_coord
,
lens
->
ellipticity_angle
[
iterator
]);
R
=
sqrt
(
true_coord_rotation
.
x
*
true_coord_rotation
.
x
*
(
1
-
lens
->
ellipticity
[
iterator
]
/
3.
)
+
true_coord_rotation
.
y
*
true_coord_rotation
.
y
*
(
1
+
lens
->
ellipticity
[
iterator
]
/
3.
));
//ellippot = ellipmass/3
result
.
x
=
(
1
-
lens
->
ellipticity
[
iterator
]
/
3.
)
*
lens
->
b0
[
iterator
]
*
true_coord_rotation
.
x
/
(
R
);
result
.
y
=
(
1
+
lens
->
ellipticity
[
iterator
]
/
3.
)
*
lens
->
b0
[
iterator
]
*
true_coord_rotation
.
y
/
(
R
);
return
result
;
}
struct
point
module_potentialDerivatives_totalGradient_SOA
(
const
int
*
Nlens
,
const
struct
point
*
pImage
,
const
struct
Potential_SOA
*
lens
)
{
struct
point
grad
,
clumpgrad
;
grad
.
x
=
0
;
grad
.
y
=
0
;
//This here could be done with function pointer to better acomodate future ass distributions functions
// However I'm unsure of the time of function pointers -> ask gilles
//for the moment lens and Nlens is organised the following way : 1. SIS, 2. PIEMD
//SIS is the first
for
(
int
i
=
0
;
i
<
Nlens
[
0
];
i
++
){
clumpgrad
=
grad_halo_sis_SOA
(
pImage
,
i
,
&
lens
[
0
]);
//compute gradient for each clump separately
if
(
clumpgrad
.
x
==
clumpgrad
.
x
or
clumpgrad
.
y
==
clumpgrad
.
y
){
//nan check
grad
.
x
+=
clumpgrad
.
x
;
grad
.
y
+=
clumpgrad
.
y
;
}
// add the gradients
}
//PIEMD is the second
for
(
int
i
=
0
;
i
<
Nlens
[
1
];
i
++
){
clumpgrad
=
grad_halo_piemd_SOA
(
pImage
,
i
,
&
lens
[
1
]);
//compute gradient for each clump separately
if
(
clumpgrad
.
x
==
clumpgrad
.
x
or
clumpgrad
.
y
==
clumpgrad
.
y
){
//nan check
grad
.
x
+=
clumpgrad
.
x
;
grad
.
y
+=
clumpgrad
.
y
;
//printf(" %f %f %f %f %f %f \n", grad.x,grad.y, clumpgrad.x,clumpgrad.y,pImage->x,pImage->y);
}
// add the gradients,
}
//printf(" %f %f \n", grad.x,grad.y);
return
(
grad
);
}
struct
point
module_potentialDerivatives_piemd_peelGradient_SOA
(
const
struct
point
*
pImage
,
const
struct
Potential_SOA
*
lens
,
int
shalos
,
int
nhalos
)
{
struct
point
grad
,
clumpgrad
;
grad
.
x
=
0
;
grad
.
y
=
0
;
//
for
(
int
i
=
shalos
;
i
<
nhalos
;
i
++
)
{
//IACA_START;
//
struct
point
true_coord
,
true_coord_rot
;
//, result;
//double R, angular_deviation;
complex
zis
;
//
//result.x = result.y = 0.;
//
true_coord
.
x
=
pImage
->
x
-
lens
->
position_x
[
i
];
true_coord
.
y
=
pImage
->
y
-
lens
->
position_y
[
i
];
/*positionning at the potential center*/
// Change the origin of the coordinate system to the center of the clump
true_coord_rot
=
rotateCoordinateSystem
(
true_coord
,
lens
->
ellipticity_angle
[
i
]);
//
double
x
=
true_coord_rot
.
x
;
double
y
=
true_coord_rot
.
y
;
double
eps
=
lens
->
ellipticity_potential
[
i
];
double
rc
=
lens
->
rcore
[
i
];
//
//std::cout << "piemd_lderivatives" << std::endl;
//
double
sqe
=
sqrt
(
eps
);
//
double
cx1
=
(
1.
-
eps
)
/
(
1.
+
eps
);
double
cxro
=
(
1.
+
eps
)
*
(
1.
+
eps
);
double
cyro
=
(
1.
-
eps
)
*
(
1.
-
eps
);
//
double
rem2
=
x
*
x
/
cxro
+
y
*
y
/
cyro
;
//
complex
zci
,
znum
,
zden
,
zres
;
double
norm
;
//
zci
.
re
=
0
;
zci
.
im
=
-
0.5
*
(
1.
-
eps
*
eps
)
/
sqe
;
//
znum
.
re
=
cx1
*
x
;
znum
.
im
=
2.
*
sqe
*
sqrt
(
rc
*
rc
+
rem2
)
-
y
/
cx1
;
//
zden
.
re
=
x
;
zden
.
im
=
2.
*
rc
*
sqe
-
y
;
norm
=
(
zden
.
re
*
zden
.
re
+
zden
.
im
*
zden
.
im
);
// zis = znum/zden
//
zis
.
re
=
(
znum
.
re
*
zden
.
re
+
znum
.
im
*
zden
.
im
)
/
norm
;
zis
.
im
=
(
znum
.
im
*
zden
.
re
-
znum
.
re
*
zden
.
im
)
/
norm
;
norm
=
zis
.
re
;
zis
.
re
=
log
(
sqrt
(
norm
*
norm
+
zis
.
im
*
zis
.
im
));
// ln(zis) = ln(|zis|)+i.Arg(zis)
zis
.
im
=
atan2
(
zis
.
im
,
norm
);
// norm = zis.re;
zres
.
re
=
zci
.
re
*
zis
.
re
-
zci
.
im
*
zis
.
im
;
// Re( zci*ln(zis) )
zres
.
im
=
zci
.
im
*
zis
.
re
+
zis
.
im
*
zci
.
re
;
// Im( zci*ln(zis) )
//
zis
.
re
=
zres
.
re
;
zis
.
im
=
zres
.
im
;
//
//zres.re = zis.re*b0;
//zres.im = zis.im*b0;
// rotation
clumpgrad
.
x
=
zis
.
re
;
clumpgrad
.
y
=
zis
.
im
;
clumpgrad
=
rotateCoordinateSystem
(
clumpgrad
,
-
lens
->
ellipticity_angle
[
i
]);
//
clumpgrad
.
x
=
lens
->
b0
[
i
]
*
clumpgrad
.
x
;
clumpgrad
.
y
=
lens
->
b0
[
i
]
*
clumpgrad
.
y
;
//
//clumpgrad.x = lens->b0[i]*zis.re;
//clumpgrad.y = lens->b0[i]*zis.im;
//nan check
if
(
clumpgrad
.
x
==
clumpgrad
.
x
or
clumpgrad
.
y
==
clumpgrad
.
y
)
{
// add the gradients
grad
.
x
+=
clumpgrad
.
x
;
grad
.
y
+=
clumpgrad
.
y
;
}
}
//IACA_END;
//
return
(
grad
);
}
struct
point
module_potentialDerivatives_totalGradient_SOA_GPU
(
const
int
*
Nlens
,
const
struct
point
*
pImage
,
const
struct
Potential_SOA
*
lens
)
{
struct
point
grad
,
clumpgrad
;
grad
.
x
=
0
;
grad
.
y
=
0
;
//This here could be done with function pointer to better acomodate future ass distributions functions
// However I'm unsure of the time of function pointers -> ask gilles
//for the moment lens and Nlens is organised the following way : 1. SIS, 2. PIEMD
//SIS is the first
for
(
int
i
=
0
;
i
<
Nlens
[
0
];
i
++
){
clumpgrad
=
grad_halo_sis_SOA
(
pImage
,
i
,
&
lens
[
0
]);
//compute gradient for each clump separately
if
(
clumpgrad
.
x
==
clumpgrad
.
x
or
clumpgrad
.
y
==
clumpgrad
.
y
){
//nan check
grad
.
x
+=
clumpgrad
.
x
;
grad
.
y
+=
clumpgrad
.
y
;
}
// add the gradients
}
//PIEMD is the second
clumpgrad
=
grad_halo_piemd_SOA_GPU
(
pImage
,
Nlens
[
1
],
&
lens
[
1
]);
//compute gradient for each clump separately
if
(
clumpgrad
.
x
==
clumpgrad
.
x
or
clumpgrad
.
y
==
clumpgrad
.
y
){
//nan check
grad
.
x
+=
clumpgrad
.
x
;
grad
.
y
+=
clumpgrad
.
y
;
}
return
(
grad
);
}
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