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solverstack
ScalFMM
Commits
942183b8
Commit
942183b8
authored
Jun 05, 2013
by
PIACIBELLO Cyrille
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M2L completed
parent
2b0978af
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2
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2 changed files
with
139 additions
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12 deletions
+139
-12
Src/Kernels/Taylor/FTaylorCell.hpp
Src/Kernels/Taylor/FTaylorCell.hpp
+6
-0
Src/Kernels/Taylor/FTaylorKernel.hpp
Src/Kernels/Taylor/FTaylorKernel.hpp
+133
-12
No files found.
Src/Kernels/Taylor/FTaylorCell.hpp
View file @
942183b8
...
...
@@ -53,6 +53,12 @@ public:
return
multipole_exp
;
}
//Get local Vector
FVector
*
getLocal
(
void
)
{
return
local_exp
;
}
};
#endif
Src/Kernels/Taylor/FTaylorKernel.hpp
View file @
942183b8
...
...
@@ -114,7 +114,7 @@ private:
}
return
result
;
}
/* Return the product of factorial of 3 numbers
*/
FReal
fact3int
(
const
int
a
,
const
int
b
,
const
int
c
)
...
...
@@ -122,6 +122,91 @@ private:
return
(
fact
(
a
)
*
fact
(
b
)
*
fact
(
c
));
}
/** @brief Init the derivative array for using of following formula
* from "A cartesian tree-code for screened coulomb interactions"
*
*\f[
* \Psi_{\mathbf{k}}^{c}\times \left [\left |\mathbf{k}\right |\times \left |
* \mathbf{x}_i-\mathbf{x}_c\right |^2 \times
* \frac{1}{\mathbf{k}!} \right ]\
* = (2\times \left |{\mathbf{k}}\right |-1)\times
* \sum_{j=0}^{3}\left [(x_{i_j}-x_{c_j})\times
* \Psi_{\mathbf{k}-e_j,i}^{c}\times \frac{1}{({\mathbf{k}}-e_j)!}\right ]\
* -(\left |\mathbf{k}\right |-1)\times \sum_{j=0}^{3}\left
* [\Psi_{\mathbf{k}-2\times e_j,i}^{c}\times \frac{1}{(\mathbf{k}-2\times e_j)!}\right]
* \f]
*/
void
initDerivative
(
const
FPoint
target
,
const
FPoint
src
,
FReal
*
tab
)
{
FReal
dx
=
target
.
getX
()
-
src
.
getX
();
FReal
dy
=
target
.
getY
()
-
src
.
getY
();
FReal
dz
=
target
.
getZ
()
-
src
.
getZ
();
tab
[
0
]
=
1
/
(
FMath
::
Sqrt
(
dx
*
dx
+
dy
*
dy
+
dz
*
dz
));
FReal
R3
=
tab
[
0
]
/
(
dx
*
dx
+
dy
*
dy
+
dz
*
dz
);
tab
[
1
]
=
temp
*
dx
;
tab
[
2
]
=
temp
*
dy
;
tab
[
3
]
=
temp
*
dz
;
FReal
R5
=
R3
/
(
dx
*
dx
+
dy
*
dy
+
dz
*
dz
);
tab
[
4
]
=
R3
-
dx
*
dx
*
R5
;
tab
[
5
]
=
(
-
dx
)
*
dy
*
R5
;
tab
[
6
]
=
(
-
dx
)
*
dz
*
R5
;
tab
[
7
]
=
R3
-
dy
*
dy
*
R5
;
tab
[
8
]
=
(
-
dy
)
*
dz
*
R5
;
tab
[
9
]
=
R3
-
dz
*
dz
*
R5
;
}
/** @brief Compute and store the derivative for a given tuple.
*
*/
FReal
computeDerivative
(
const
int
a
,
const
int
b
,
const
int
c
,
const
FPoint
target
,
const
FPoint
src
,
FReal
*
yetComputed
)
{
int
idx
=
powerToIdx
(
a
,
b
,
c
);
if
(
yetComputed
[
idx
]
=!
0
)
{
return
yetComputed
[
idx
];}
else
{
FReal
dx
=
target
.
getX
()
-
src
.
getX
();
FReal
dy
=
target
.
getY
()
-
src
.
getY
();
FReal
dz
=
target
.
getZ
()
-
src
.
getZ
();
FReal
fct
=
fact3int
(
a
,
b
,
c
);
FReal
dist
=
FMath
::
Sqrt
(
dx
*
dx
+
dy
*
dy
+
dz
*
dz
);
FReal
temp_value
=
FReal
(
0
);
int
idxt
;
if
(
a
>
0
){
idxt
=
powerToIdx
(
a
-
1
,
b
,
c
);
temp_value
+=
(
2
*
(
a
+
b
+
c
)
-
1
)
*
dx
*
yetComputed
[
idxt
]
*
a
/
fct
;
if
(
a
>
1
){
idxt
=
powerToIdx
(
a
-
2
,
b
,
c
);
temp_value
-=
(
a
+
b
+
c
-
1
)
*
yetComputed
[
idxt
]
*
a
*
(
a
-
1
)
/
fct
;
}
}
if
(
b
>
0
){
idxt
=
powerToIdx
(
a
,
b
-
1
,
c
);
temp_value
+=
(
2
*
(
a
+
b
+
c
)
-
1
)
*
dy
*
yetComputed
[
idxt
]
*
b
/
fct
;
if
(
b
>
1
){
idxt
=
powerToIdx
(
a
,
b
-
2
,
c
);
temp_value
-=
(
a
+
b
+
c
-
1
)
*
yetComputed
[
idxt
]
*
b
*
(
b
-
1
)
/
fct
;
}
}
if
(
c
>
0
){
idxt
=
powerToIdx
(
a
,
b
,
c
-
1
);
temp_value
+=
(
2
*
(
a
+
b
+
c
)
-
1
)
*
dz
*
yetComputed
[
idxt
]
*
c
/
fct
;
if
(
c
>
1
){
idxt
=
powerToIdx
(
a
,
b
,
c
-
2
);
temp_value
-=
(
a
+
b
+
c
-
1
)
*
yetComputed
[
idxt
]
*
c
*
(
c
-
1
)
/
fct
;
}
}
FReal
coeff
=
(
a
+
b
+
c
)
*
dist
/
fct
;
temp_value
=
temp_value
/
coeff
;
yetComputed
[
idx
]
=
temp_value
;
return
temp_value
;
}
}
public:
/*Constructor, need system information*/
...
...
@@ -261,25 +346,58 @@ public:
}
}
/**
*@brief Convert the multipole expansion into local expansion
* The operator do not use symmetries.
* \f[
* L_{\mathbf{n}}^{c} = \frac{1}{\mathbf{n}!} \times \sum_{\mathbf{k}=0}^{p} \left [ \Psi_{\mathbf{n+k}}^{c}(\mathbf{x}\times M_{\mathbf{k}^c})\right ]
* \f]
/**
*@brief Convert the multipole expansion into local expansion The
* operator do not use symmetries.
* \f[
* L_{\mathbf{n}}^{c} =
* \frac{1}{\mathbf{n}!} \times \sum_{\mathbf{k}=0}^{p} \left [
* \Psi_{\mathbf{n+k}}^{c}(\mathbf{x}\times M_{\mathbf{k}^c})\right
* ] \f]
*/
void
M2L
(
CellClass
*
const
FRestrict
local
,
const
CellClass
*
distantNeighbors
[
343
],
const
int
size
,
const
int
inLevel
)
const
CellClass
*
distantNeighbors
[
343
],
const
int
size
,
const
int
inLevel
)
{
//Iteration over distantNeighbors
int
idxNeigh
;
FPoint
locCenter
=
local
.
getLeafCenter
();
for
(
idxNeigh
=
0
;
idxNeigh
<
343
;
idxNeigh
++
){
//Need to test if current neighbor is one of the interaction list
if
(
inIteractions
[
idxNeigh
]){
//Derivatives are computed iteratively
FReal
yetComputed
[
SizeVector
];
//TODO C'est faux, k+n>p...
FMemUtils
::
memset
(
yetComputed
,
0
,
SizeVector
*
sizeof
(
FReal
(
0
)));
initDerivative
(
locCenter
,
inIteractions
[
idxNeigh
].
getLeafCenter
(),
yetComputed
);
//Iteration over Multipole / Local
int
al
=
0
,
bl
=
0
,
cl
=
0
;
int
am
=
0
,
bm
=
0
,
cm
=
0
;
typename
ContainerClass
::
BasicIterator
iterLocal
(
local
.
getLocal
());
//Iterating over local array : n
while
(
iterLocal
.
hasNotFinished
()){
FReal
fctl
=
fact3int
(
al
,
bl
,
cl
);
//Iterator over multipole array
typename
ContainerClass
::
BasicIterator
iterMult
(
local
.
getMultipole
());
//Iterating over multipole array : k
while
(
iterMult
.
hasNotFinished
()){
FReal
data
=
computeDerivative
(
al
+
am
,
bl
+
bm
,
cl
+
cm
,
locCenter
,
inIteractions
[
idxNeigh
].
getLeafCenter
(),
yetComputed
);
data
*=
iterMult
.
data
()
/
fctl
;
iterLocal
.
setData
();
//updating a,b,c and iterator
incPowers
(
&
am
,
&
bm
,
&
cm
);
iterMult
.
gotoNext
();
}
am
=
0
;
bm
=
0
;
cm
=
0
;
iterLocal
.
gotoNext
();
incPowers
(
&
al
,
&
bl
,
&
cl
);
}
}
}
}
...
...
@@ -289,7 +407,9 @@ public:
*@brief Divide and translate the local expansion of parent cell to child cell
*
*/
void
L2L
(
const
CellClass
*
const
FRestrict
local
,
CellClass
*
FRestrict
*
const
FRestrict
child
,
const
int
inLevel
)
void
L2L
(
const
CellClass
*
const
FRestrict
local
,
CellClass
*
FRestrict
*
const
FRestrict
child
,
const
int
inLevel
)
{
}
...
...
@@ -299,7 +419,8 @@ public:
*@brief Apply on the particles the force computed from the local expansion
*
*/
void
L2P
(
const
CellClass
*
const
local
,
ContainerClass
*
const
particles
)
void
L2P
(
const
CellClass
*
const
local
,
ContainerClass
*
const
particles
)
{
}
...
...
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