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Larry Price
gmsh
Commits
2bbe0bc8
Commit
2bbe0bc8
authored
14 years ago
by
Emilie Marchandise
Browse files
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Plain Diff
Added 2 new versions of the CPM high global and local
parent
a30e5248
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2 changed files
Geo/GFaceCompound.cpp
+2
-2
2 additions, 2 deletions
Geo/GFaceCompound.cpp
Geo/GRbf.cpp
+170
-35
170 additions, 35 deletions
Geo/GRbf.cpp
with
172 additions
and
37 deletions
Geo/GFaceCompound.cpp
+
2
−
2
View file @
2bbe0bc8
...
...
@@ -676,9 +676,9 @@ bool GFaceCompound::parametrize() const
fullMatrix
<
double
>
Oper
(
3
*
allNodes
.
size
(),
3
*
allNodes
.
size
());
_rbf
=
new
GRbf
(
epsilon
,
delta
,
radius
,
variableEps
,
radFunInd
,
_normals
,
allNodes
);
_rbf
->
RbfLapSurface_global_CPM_low
(
_rbf
->
getXYZ
(),
_rbf
->
getN
(),
Oper
);
//
_rbf->RbfLapSurface_global_CPM_low(_rbf->getXYZ(), _rbf->getN(), Oper);
//_rbf->RbfLapSurface_local_CPM(true, _rbf->getXYZ(), _rbf->getN(), Oper);
//
_rbf->RbfLapSurface_global_CPM_high(_rbf->getXYZ(), _rbf->getN(), Oper);
_rbf
->
RbfLapSurface_global_CPM_high
(
_rbf
->
getXYZ
(),
_rbf
->
getN
(),
Oper
);
//_rbf->RbfLapSurface_local_CPM(false, _rbf->getXYZ(), _rbf->getN(), Oper);
//_rbf->RbfLapSurface_global_projection(_rbf->getXYZ(), _rbf->getN(), Oper);
//_rbf->RbfLapSurface_local_projection(_rbf->getXYZ(), _rbf->getN(), Oper);
...
...
This diff is collapsed.
Click to expand it.
Geo/GRbf.cpp
+
170
−
35
View file @
2bbe0bc8
...
...
@@ -499,6 +499,57 @@ void GRbf::RbfLapSurface_local_CPM(bool isLow,
}
}
// void GRbf::RbfLapSurface_global_CPM_high(const fullMatrix<double> &cntrs,
// const fullMatrix<double> &normals,
// fullMatrix<double> &Oper){
// int numNodes = cntrs.size1();
// int nnTot = 3*numNodes;
// Oper.resize(nnTot,nnTot);
// fullMatrix<double> sx, sy, sz, sxx, sxy, sxz,syy, syz, szz;
// fullMatrix<double> Dx, Dy, Dz, Dxx, Dxy, Dxz, Dyy, Dyz, Dzz, Lap, extX, surf;
// setup_level_set(cntrs,normals,extX,surf);
// if (!isLocal) extendedX = extX;
// if (!isLocal) surfInterp = surf;
// // Find derivatives of the surface interpolant
// evalRbfDer(1,extX,cntrs,surf,sx);
// evalRbfDer(2,extX,cntrs,surf,sy);
// evalRbfDer(3,extX,cntrs,surf,sz);
// evalRbfDer(11,extX,cntrs,surf,sxx);
// evalRbfDer(12,extX,cntrs,surf,sxy);
// evalRbfDer(13,extX,cntrs,surf,sxz);
// evalRbfDer(22,extX,cntrs,surf,syy);
// evalRbfDer(23,extX,cntrs,surf,syz);
// evalRbfDer(33,extX,cntrs,surf,szz);
// // Finds differentiation matrices
// RbfOp(1,extX,cntrs,Dx);
// RbfOp(2,extX,cntrs,Dy);
// RbfOp(3,extX,cntrs,Dz);
// RbfOp(11,extX,cntrs,Dxx);
// RbfOp(12,extX,cntrs,Dxy);
// RbfOp(13,extX,cntrs,Dxz);
// RbfOp(22,extX,cntrs,Dyy);
// RbfOp(23,extX,cntrs,Dyz);
// RbfOp(33,extX,cntrs,Dzz);
// RbfOp(222,extX,cntrs,Lap);
// // Fills up the operator matrix
// for (int i=0;i<numNodes ; ++i){
// for (int j=0;j<nnTot ; ++j){
// Oper(i,j) = Lap(i,j);
// Oper(i+numNodes,j)=sx(i,0)*Dx(i,j)+sy(i,0)*Dy(i,j)+sz(i,0)*Dz(i,j);
// Oper(i+2*numNodes,j)=sx(i,0)*sx(i,0)*Dxx(i,j)+sy(i,0)*sy(i,0)*Dyy(i,j)+sz(i,0)*sz(i,0)*Dzz(i,j)+2*sx(i,0)*sy(i,0)*Dxy(i,j)+2*sx(i,0)*sz(i,0)*Dxz(i,j)+2*sy(i,0)*sz(i,0)*Dyz(i,j)+(sx(i,0)*sxx(i,0)+sy(i,0)*sxy(i,0)+sz(i,0)*sxz(i,0))*Dx(i,j)+(sx(i,0)*sxy(i,0)+sy(i,0)*syy(i,0)+sz(i,0)*syz(i,0))*Dy(i,j)+(sx(i,0)*sxz(i,0)+sy(i,0)*syz(i,0)+sz(i,0)*szz(i,0))*Dz(i,j);
// }
// }
// }
//NEW METHOD #1 CPM GLOBAL HIGH
void
GRbf
::
RbfLapSurface_global_CPM_high
(
const
fullMatrix
<
double
>
&
cntrs
,
const
fullMatrix
<
double
>
&
normals
,
fullMatrix
<
double
>
&
Oper
){
...
...
@@ -508,7 +559,7 @@ void GRbf::RbfLapSurface_global_CPM_high(const fullMatrix<double> &cntrs,
Oper
.
resize
(
nnTot
,
nnTot
);
fullMatrix
<
double
>
sx
,
sy
,
sz
,
sxx
,
sxy
,
sxz
,
syy
,
syz
,
szz
;
fullMatrix
<
double
>
D
x
,
D
y
,
D
z
,
D
xx
,
D
xy
,
D
xz
,
D
yy
,
D
yz
,
D
zz
,
Lap
,
extX
,
surf
;
fullMatrix
<
double
>
A
,
A
x
,
A
y
,
A
z
,
A
xx
,
A
xy
,
A
xz
,
A
yy
,
A
yz
,
A
zz
,
Alap
,
AOper
,
extX
,
surf
;
setup_level_set
(
cntrs
,
normals
,
extX
,
surf
);
if
(
!
isLocal
)
extendedX
=
extX
;
...
...
@@ -525,28 +576,92 @@ void GRbf::RbfLapSurface_global_CPM_high(const fullMatrix<double> &cntrs,
evalRbfDer
(
23
,
extX
,
cntrs
,
surf
,
syz
);
evalRbfDer
(
33
,
extX
,
cntrs
,
surf
,
szz
);
szz
.
print
(
"szz"
);
// Finds differentiation matrices
RbfOp
(
1
,
extX
,
cntrs
,
Dx
);
RbfOp
(
2
,
extX
,
cntrs
,
Dy
);
RbfOp
(
3
,
extX
,
cntrs
,
Dz
);
RbfOp
(
11
,
extX
,
cntrs
,
Dxx
);
RbfOp
(
12
,
extX
,
cntrs
,
Dxy
);
RbfOp
(
13
,
extX
,
cntrs
,
Dxz
);
RbfOp
(
22
,
extX
,
cntrs
,
Dyy
);
RbfOp
(
23
,
extX
,
cntrs
,
Dyz
);
RbfOp
(
33
,
extX
,
cntrs
,
Dzz
);
RbfOp
(
222
,
extX
,
cntrs
,
Lap
);
A
=
generateRbfMat
(
0
,
extX
,
extX
,
0
);
Ax
=
generateRbfMat
(
1
,
extX
,
cntrs
,
0
);
Ay
=
generateRbfMat
(
2
,
extX
,
cntrs
,
0
);
Az
=
generateRbfMat
(
3
,
extX
,
cntrs
,
0
);
Axx
=
generateRbfMat
(
11
,
extX
,
cntrs
,
0
);
Axy
=
generateRbfMat
(
12
,
extX
,
cntrs
,
0
);
Axz
=
generateRbfMat
(
13
,
extX
,
cntrs
,
0
);
Ayy
=
generateRbfMat
(
22
,
extX
,
cntrs
,
0
);
Ayz
=
generateRbfMat
(
23
,
extX
,
cntrs
,
0
);
Azz
=
generateRbfMat
(
33
,
extX
,
cntrs
,
0
);
Alap
=
generateRbfMat
(
222
,
extX
,
cntrs
,
0
);
// Fills up the operator matrix
for
(
int
i
=
0
;
i
<
numNodes
;
++
i
){
for
(
int
j
=
0
;
j
<
nnTot
;
++
j
){
Oper
(
i
,
j
)
=
Lap
(
i
,
j
);
Oper
(
i
+
numNodes
,
j
)
=
sx
(
i
,
0
)
*
Dx
(
i
,
j
)
+
sy
(
i
,
0
)
*
Dy
(
i
,
j
)
+
sz
(
i
,
0
)
*
Dz
(
i
,
j
);
Oper
(
i
+
2
*
numNodes
,
j
)
=
sx
(
i
,
0
)
*
sx
(
i
,
0
)
*
Dxx
(
i
,
j
)
+
sy
(
i
,
0
)
*
sy
(
i
,
0
)
*
Dyy
(
i
,
j
)
+
sz
(
i
,
0
)
*
sz
(
i
,
0
)
*
Dzz
(
i
,
j
)
+
2
*
sx
(
i
,
0
)
*
sy
(
i
,
0
)
*
Dxy
(
i
,
j
)
+
2
*
sx
(
i
,
0
)
*
sz
(
i
,
0
)
*
Dxz
(
i
,
j
)
+
2
*
sy
(
i
,
0
)
*
sz
(
i
,
0
)
*
Dyz
(
i
,
j
)
+
(
sx
(
i
,
0
)
*
sxx
(
i
,
0
)
+
sy
(
i
,
0
)
*
sxy
(
i
,
0
)
+
sz
(
i
,
0
)
*
sxz
(
i
,
0
))
*
Dx
(
i
,
j
)
+
(
sx
(
i
,
0
)
*
sxy
(
i
,
0
)
+
sy
(
i
,
0
)
*
syy
(
i
,
0
)
+
sz
(
i
,
0
)
*
syz
(
i
,
0
))
*
Dy
(
i
,
j
)
+
(
sx
(
i
,
0
)
*
sxz
(
i
,
0
)
+
sy
(
i
,
0
)
*
syz
(
i
,
0
)
+
sz
(
i
,
0
)
*
szz
(
i
,
0
))
*
Dz
(
i
,
j
);
}
}
}
AOper
(
i
,
j
)
=
Alap
(
i
,
j
);
AOper
(
i
+
numNodes
,
j
)
=
sx
(
i
,
0
)
*
Ax
(
i
,
j
)
+
sy
(
i
,
0
)
*
Ay
(
i
,
j
)
+
sz
(
i
,
0
)
*
Az
(
i
,
j
);
AOper
(
i
+
2
*
numNodes
,
j
)
=
sx
(
i
,
0
)
*
sx
(
i
,
0
)
*
Axx
(
i
,
j
)
+
sy
(
i
,
0
)
*
sy
(
i
,
0
)
*
Ayy
(
i
,
j
)
+
sz
(
i
,
0
)
*
sz
(
i
,
0
)
*
Azz
(
i
,
j
)
+
2
*
sx
(
i
,
0
)
*
sy
(
i
,
0
)
*
Axy
(
i
,
j
)
+
2
*
sx
(
i
,
0
)
*
sz
(
i
,
0
)
*
Axz
(
i
,
j
)
+
2
*
sy
(
i
,
0
)
*
sz
(
i
,
0
)
*
Ayz
(
i
,
j
)
+
(
sx
(
i
,
0
)
*
sxx
(
i
,
0
)
+
sy
(
i
,
0
)
*
sxy
(
i
,
0
)
+
sz
(
i
,
0
)
*
sxz
(
i
,
0
))
*
Ax
(
i
,
j
)
+
(
sx
(
i
,
0
)
*
sxy
(
i
,
0
)
+
sy
(
i
,
0
)
*
syy
(
i
,
0
)
+
sz
(
i
,
0
)
*
syz
(
i
,
0
))
*
Ay
(
i
,
j
)
+
(
sx
(
i
,
0
)
*
sxz
(
i
,
0
)
+
sy
(
i
,
0
)
*
syz
(
i
,
0
)
+
sz
(
i
,
0
)
*
szz
(
i
,
0
))
*
Az
(
i
,
j
);
}
}
A
.
invertInPlace
();
Oper
.
gemm
(
AOper
,
A
,
1.0
,
0.0
);
}
// NEW METHOD #2 CPM GLOBAL HIGH
// Produces a nxn differentiation matrix (like the projection method)
// So the local method for this is the local projection method
// void GRbf::RbfLapSurface_global_CPM_high(const fullMatrix<double> &cntrs,
// const fullMatrix<double> &normals,
// fullMatrix<double> &Oper){
// int numNodes = cntrs.size1();
// int nnTot = 3*numNodes;
// Oper.resize(nnTot,nnTot);
// fullMatrix<double> sx, sy, sz, sxx, sxy, sxz,syy, syz, szz;
// fullMatrix<double> A, Ax, Ay, Az, Axx, Axy, Axz, Ayy, Ayz, Azz, Alap, AOper, Temp, extX, surf;
// setup_level_set(cntrs,normals,extX,surf);
// if (!isLocal) extendedX = extX;
// if (!isLocal) surfInterp = surf;
// // Find derivatives of the surface interpolant
// evalRbfDer(1,extX,cntrs,surf,sx);
// evalRbfDer(2,extX,cntrs,surf,sy);
// evalRbfDer(3,extX,cntrs,surf,sz);
// evalRbfDer(11,extX,cntrs,surf,sxx);
// evalRbfDer(12,extX,cntrs,surf,sxy);
// evalRbfDer(13,extX,cntrs,surf,sxz);
// evalRbfDer(22,extX,cntrs,surf,syy);
// evalRbfDer(23,extX,cntrs,surf,syz);
// evalRbfDer(33,extX,cntrs,surf,szz);
// // Finds differentiation matrices
// A=generateRbfMat(0,extX,extX,0);
// Ax=generateRbfMat(1,extX,cntrs,0);
// Ay=generateRbfMat(2,extX,cntrs,0);
// Az=generateRbfMat(3,extX,cntrs,0);
// Axx=generateRbfMat(11,extX,cntrs,0);
// Axy=generateRbfMat(12,extX,cntrs,0);
// Axz=generateRbfMat(13,extX,cntrs,0);
// Ayy=generateRbfMat(22,extX,cntrs,0);
// Ayz=generateRbfMat(23,extX,cntrs,0);
// Azz=generateRbfMat(33,extX,cntrs,0);
// Alap=generateRbfMat(222,extX,cntrs,0);
// // Fills up the operator matrix
// for (int i=0;i<numNodes ; ++i){
// for (int j=0;j<nnTot ; ++j){
// AOper(i,j) = A(i,j);
// AOper(i+numNodes,j)=sx(i,0)*Ax(i,j)+sy(i,0)*Ay(i,j)+sz(i,0)*Az(i,j);
// AOper(i+2*numNodes,j)=sx(i,0)*sx(i,0)*Axx(i,j)+sy(i,0)*sy(i,0)*Ayy(i,j)+sz(i,0)*sz(i,0)*Azz(i,j)+2*sx(i,0)*sy(i,0)*Axy(i,j)+2*sx(i,0)*sz(i,0)*Axz(i,j)+2*sy(i,0)*sz(i,0)*Ayz(i,j)+(sx(i,0)*sxx(i,0)+sy(i,0)*sxy(i,0)+sz(i,0)*sxz(i,0))*Ax(i,j)+(sx(i,0)*sxy(i,0)+sy(i,0)*syy(i,0)+sz(i,0)*syz(i,0))*Ay(i,j)+(sx(i,0)*sxz(i,0)+sy(i,0)*syz(i,0)+sz(i,0)*szz(i,0))*Az(i,j);
// }
// }
// AOper.invertInPlace();
// Temp.gemm(Alap, AOper, 1.0, 0.0);
// for (int i=0;i<numNodes ; ++i){
// for (int j=0;j<numNodes ; ++j){
// Oper(i,j) = Temp(i,j);
// }
// }
// }
void
GRbf
::
RbfLapSurface_global_CPM_low
(
const
fullMatrix
<
double
>
&
cntrs
,
const
fullMatrix
<
double
>
&
normals
,
...
...
@@ -659,7 +774,6 @@ void GRbf::UVStoXYZ_global(const double u_eval, const double v_eval,
double
&
XX
,
double
&
YY
,
double
&
ZZ
,
SVector3
&
dXdu
,
SVector3
&
dXdv
)
{
int
numNodes
=
3
*
nbNodes
;
//WARNING: THIS IS KO FOR PROJECTION ??
double
norm_s
=
0.0
;
fullMatrix
<
double
>
u_temp
(
1
,
3
);
...
...
@@ -683,13 +797,15 @@ void GRbf::UVStoXYZ_global(const double u_eval, const double v_eval,
//Start with the closest point (u,v)
#if defined (HAVE_ANN)
double
uvw
[
3
]
=
{
u_eval
,
v_eval
,
0.0
};
UVkdtree
->
annkSearch
(
uvw
,
num_neighbours
,
index
,
dist
);
ANNidxArray
index1
;
ANNdistArray
dist1
;
UVkdtree
->
annkSearch
(
uvw
,
1
,
index1
,
dist1
);
#endif
nodes_eval
(
0
,
0
)
=
extendedX
(
index
[
0
],
0
);
nodes_eval
(
0
,
1
)
=
extendedX
(
index
[
0
],
1
);
nodes_eval
(
0
,
2
)
=
extendedX
(
index
[
0
],
2
);
u_temp
(
0
,
0
)
=
UV
(
index
[
0
],
0
);
u_temp
(
0
,
1
)
=
UV
(
index
[
0
],
1
);
nodes_eval
(
0
,
0
)
=
extendedX
(
index
1
[
0
],
0
);
nodes_eval
(
0
,
1
)
=
extendedX
(
index
1
[
0
],
1
);
nodes_eval
(
0
,
2
)
=
extendedX
(
index
1
[
0
],
2
);
u_temp
(
0
,
0
)
=
UV
(
index
1
[
0
],
0
);
u_temp
(
0
,
1
)
=
UV
(
index
1
[
0
],
1
);
u_temp
(
0
,
2
)
=
0.0
;
int
incr
=
0
;
...
...
@@ -733,12 +849,25 @@ void GRbf::UVStoXYZ_global(const double u_eval, const double v_eval,
dXdu
=
SVector3
(
Jac
(
0
,
0
),
Jac
(
1
,
0
),
Jac
(
2
,
0
));
dXdv
=
SVector3
(
Jac
(
0
,
1
),
Jac
(
1
,
1
),
Jac
(
2
,
1
));
delete
[]
index1
;
delete
[]
dist1
;
}
bool
GRbf
::
UVStoXYZ
(
const
double
u_eval
,
const
double
v_eval
,
double
&
XX
,
double
&
YY
,
double
&
ZZ
,
SVector3
&
dXdu
,
SVector3
&
dXdv
){
fullMatrix
<
double
>
vec
(
3
*
nbNodes
,
3
);
for
(
int
i
=
0
;
i
<
3
*
nbNodes
;
i
++
){
vec
(
i
,
0
)
=
normals
(
i
,
0
);
vec
(
i
,
1
)
=
normals
(
i
,
1
);
vec
(
i
,
2
)
=
normals
(
i
,
2
);
printf
(
"%g %g %g
\n
"
,
vec
(
i
,
0
),
vec
(
i
,
1
),
vec
(
i
,
2
));
}
exit
(
1
);
//Finds the U,V,S (in the 0-level set) that are the 'num_neighbours' closest to u_eval and v_eval.
//Thus in total, we're working with '3*num_neighbours' nodes
//Say that the vector 'index' gives us the indices of the closest points
...
...
@@ -747,7 +876,9 @@ bool GRbf::UVStoXYZ(const double u_eval, const double v_eval,
#if defined (HAVE_ANN)
double
uvw
[
3
]
=
{
u_eval
,
v_eval
,
0.0
};
UVkdtree
->
annkSearch
(
uvw
,
num_neighbours
,
index
,
dist
);
ANNidxArray
index2
=
new
ANNidx
[
num_neighbours
];
ANNdistArray
dist2
=
new
ANNdist
[
num_neighbours
];
UVkdtree
->
annkSearch
(
uvw
,
num_neighbours
,
index2
,
dist2
);
#endif
fullMatrix
<
double
>
ux
(
1
,
3
),
uy
(
1
,
3
),
uz
(
1
,
3
),
u_temp
(
1
,
3
);
...
...
@@ -755,6 +886,7 @@ bool GRbf::UVStoXYZ(const double u_eval, const double v_eval,
fullMatrix
<
double
>
u_vec
(
3
*
num_neighbours
,
3
);
fullMatrix
<
double
>
xyz_local
(
3
*
num_neighbours
,
3
);
// u_vec = [u v s] : These are the u,v,s that are on the surface *and* outside of it also!
for
(
int
i
=
0
;
i
<
num_neighbours
;
i
++
){
...
...
@@ -773,17 +905,17 @@ bool GRbf::UVStoXYZ(const double u_eval, const double v_eval,
//THE LOCAL XYZ
xyz_local
(
i
,
0
)
=
extendedX
(
index
[
i
],
0
);
xyz_local
(
i
,
1
)
=
extendedX
(
index
[
i
],
1
);
xyz_local
(
i
,
2
)
=
extendedX
(
index
[
i
],
2
);
xyz_local
(
i
,
0
)
=
extendedX
(
index
2
[
i
],
0
);
xyz_local
(
i
,
1
)
=
extendedX
(
index
2
[
i
],
1
);
xyz_local
(
i
,
2
)
=
extendedX
(
index
2
[
i
],
2
);
xyz_local
(
i
+
num_neighbours
,
0
)
=
extendedX
(
index
[
i
]
+
nbNodes
,
0
);
xyz_local
(
i
+
num_neighbours
,
1
)
=
extendedX
(
index
[
i
]
+
nbNodes
,
1
);
xyz_local
(
i
+
num_neighbours
,
2
)
=
extendedX
(
index
[
i
]
+
nbNodes
,
2
);
xyz_local
(
i
+
num_neighbours
,
0
)
=
extendedX
(
index
2
[
i
]
+
nbNodes
,
0
);
xyz_local
(
i
+
num_neighbours
,
1
)
=
extendedX
(
index
2
[
i
]
+
nbNodes
,
1
);
xyz_local
(
i
+
num_neighbours
,
2
)
=
extendedX
(
index
2
[
i
]
+
nbNodes
,
2
);
xyz_local
(
i
+
2
*
num_neighbours
,
0
)
=
extendedX
(
index
[
i
]
+
2
*
nbNodes
,
0
);
xyz_local
(
i
+
2
*
num_neighbours
,
1
)
=
extendedX
(
index
[
i
]
+
2
*
nbNodes
,
1
);
xyz_local
(
i
+
2
*
num_neighbours
,
2
)
=
extendedX
(
index
[
i
]
+
2
*
nbNodes
,
2
);
xyz_local
(
i
+
2
*
num_neighbours
,
0
)
=
extendedX
(
index
2
[
i
]
+
2
*
nbNodes
,
0
);
xyz_local
(
i
+
2
*
num_neighbours
,
1
)
=
extendedX
(
index
2
[
i
]
+
2
*
nbNodes
,
1
);
xyz_local
(
i
+
2
*
num_neighbours
,
2
)
=
extendedX
(
index
2
[
i
]
+
2
*
nbNodes
,
2
);
}
// u_vec_eval = [u_eval v_eval s_eval]
...
...
@@ -847,6 +979,9 @@ bool GRbf::UVStoXYZ(const double u_eval, const double v_eval,
dXdu
=
SVector3
(
Jac
(
0
,
0
),
Jac
(
1
,
0
),
Jac
(
2
,
0
));
dXdv
=
SVector3
(
Jac
(
0
,
1
),
Jac
(
1
,
1
),
Jac
(
2
,
1
));
delete
[]
index2
;
delete
[]
dist2
;
return
converged
;
}
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