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Larry Price
gmsh
Commits
f413339c
Commit
f413339c
authored
13 years ago
by
Christophe Geuzaine
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parent
fcff6940
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1 changed file
Numeric/polynomialBasis.cpp
+31
-47
31 additions, 47 deletions
Numeric/polynomialBasis.cpp
with
31 additions
and
47 deletions
Numeric/polynomialBasis.cpp
+
31
−
47
View file @
f413339c
...
@@ -8,12 +8,12 @@
...
@@ -8,12 +8,12 @@
// Jonathan Lambrechts
// Jonathan Lambrechts
//
//
#include
<stdlib.h>
#include
"GmshDefines.h"
#include
"GmshDefines.h"
#include
"GmshMessage.h"
#include
"GmshMessage.h"
#include
"polynomialBasis.h"
#include
"polynomialBasis.h"
#include
"Gauss.h"
#include
"Gauss.h"
#include
"stdlib.h"
static
void
printClosure
(
polynomialBasis
::
clCont
&
fullClosure
,
std
::
vector
<
int
>
&
closureRef
,
static
void
printClosure
(
polynomialBasis
::
clCont
&
fullClosure
,
std
::
vector
<
int
>
&
closureRef
,
polynomialBasis
::
clCont
&
closures
)
polynomialBasis
::
clCont
&
closures
)
{
{
...
@@ -191,8 +191,8 @@ static fullMatrix<double> generatePascalSerendipityTriangle(int order)
...
@@ -191,8 +191,8 @@ static fullMatrix<double> generatePascalSerendipityTriangle(int order)
return
monomials
;
return
monomials
;
}
}
const
fullMatrix
<
double
>
&
polynomialBasis
::
getGradientAtFaceIntegrationPoints
(
int
integrationOrder
,
const
fullMatrix
<
double
>
&
polynomialBasis
::
int
closureId
)
const
getGradientAtFaceIntegrationPoints
(
int
integrationOrder
,
int
closureId
)
const
{
{
std
::
vector
<
fullMatrix
<
double
>
>
&
dfAtFace
=
_dfAtFace
[
integrationOrder
];
std
::
vector
<
fullMatrix
<
double
>
>
&
dfAtFace
=
_dfAtFace
[
integrationOrder
];
if
(
dfAtFace
.
empty
())
{
if
(
dfAtFace
.
empty
())
{
...
@@ -229,6 +229,7 @@ const fullMatrix<double> &polynomialBasis::getGradientAtFaceIntegrationPoints(in
...
@@ -229,6 +229,7 @@ const fullMatrix<double> &polynomialBasis::getGradientAtFaceIntegrationPoints(in
}
}
// generate all monomials xi^m * eta^n with n and m <= order
// generate all monomials xi^m * eta^n with n and m <= order
static
fullMatrix
<
double
>
generatePascalQuad
(
int
order
)
static
fullMatrix
<
double
>
generatePascalQuad
(
int
order
)
{
{
...
@@ -247,7 +248,6 @@ static fullMatrix<double> generatePascalQuad(int order)
...
@@ -247,7 +248,6 @@ static fullMatrix<double> generatePascalQuad(int order)
return
monomials
;
return
monomials
;
}
}
/*
/*
00 10 20 30 40 ⋯
00 10 20 30 40 ⋯
01 11 21 31 41 ⋯
01 11 21 31 41 ⋯
...
@@ -258,6 +258,7 @@ static fullMatrix<double> generatePascalQuad(int order)
...
@@ -258,6 +258,7 @@ static fullMatrix<double> generatePascalQuad(int order)
*/
*/
// generate all monomials xi^m * eta^n with n and m <= order
// generate all monomials xi^m * eta^n with n and m <= order
static
fullMatrix
<
double
>
generatePascalHex
(
int
order
,
bool
serendip
)
static
fullMatrix
<
double
>
generatePascalHex
(
int
order
,
bool
serendip
)
{
{
int
siz
=
(
order
+
1
)
*
(
order
+
1
)
*
(
order
+
1
);
int
siz
=
(
order
+
1
)
*
(
order
+
1
)
*
(
order
+
1
);
...
@@ -276,7 +277,6 @@ static fullMatrix<double> generatePascalHex(int order, bool serendip)
...
@@ -276,7 +277,6 @@ static fullMatrix<double> generatePascalHex(int order, bool serendip)
}
}
}
}
}
}
// printf("siz %d %d\n",siz,index );
return
monomials
;
return
monomials
;
}
}
...
@@ -309,29 +309,6 @@ static fullMatrix<double> generatePascalQuadSerendip(int order)
...
@@ -309,29 +309,6 @@ static fullMatrix<double> generatePascalQuadSerendip(int order)
return
monomials
;
return
monomials
;
}
}
/*static fullMatrix<double> generatePascalQuadSerendip(int order)
{
fullMatrix<double> monomials( order*4, 2);
int index = 0;
for (int p = 0; p < order; p++) {
monomials(p, 0) = p;
monomials(p, 1) = 0;
monomials(p+order, 0) = order;
monomials(p+order, 1) = p;
monomials(p+3*order, 0) = order-p;
monomials(p+3*order, 1) = order;
monomials(p+2*order, 0) = 0;
monomials(p+2*order, 1) = order-p;
}
monomials.print();
return monomials;
}*/
// generate the monomials subspace of all monomials of order exactly == p
// generate the monomials subspace of all monomials of order exactly == p
static
fullMatrix
<
double
>
generateMonomialSubspace
(
int
dim
,
int
p
)
static
fullMatrix
<
double
>
generateMonomialSubspace
(
int
dim
,
int
p
)
...
@@ -447,12 +424,11 @@ static fullMatrix<double> generatePascalPrism(int order)
...
@@ -447,12 +424,11 @@ static fullMatrix<double> generatePascalPrism(int order)
}
}
}
}
}
}
// monomials.print("Pri monoms");
return
monomials
;
return
monomials
;
}
}
static
int
nbdoftriangle
(
int
order
)
{
return
(
order
+
1
)
*
(
order
+
2
)
/
2
;
}
static
int
nbdoftriangle
(
int
order
)
{
return
(
order
+
1
)
*
(
order
+
2
)
/
2
;
}
//static int nbdoftriangleserendip(int order) { return 3 * order; }
//KH : caveat : node coordinates are not yet coherent with node numbering associated
//KH : caveat : node coordinates are not yet coherent with node numbering associated
// to numbering of principal vertices of face !!!!
// to numbering of principal vertices of face !!!!
...
@@ -1055,8 +1031,8 @@ static void generate1dVertexClosure(polynomialBasis::clCont &closure, int order)
...
@@ -1055,8 +1031,8 @@ static void generate1dVertexClosure(polynomialBasis::clCont &closure, int order)
closure
[
1
].
type
=
MSH_PNT
;
closure
[
1
].
type
=
MSH_PNT
;
}
}
static
void
generate1dVertexClosureFull
(
polynomialBasis
::
clCont
&
closure
,
std
::
vector
<
int
>
&
closureRef
,
static
void
generate1dVertexClosureFull
(
polynomialBasis
::
clCont
&
closure
,
int
order
)
std
::
vector
<
int
>
&
closureRef
,
int
order
)
{
{
closure
.
clear
();
closure
.
clear
();
closure
.
resize
(
2
);
closure
.
resize
(
2
);
...
@@ -1075,10 +1051,9 @@ static void generate1dVertexClosureFull(polynomialBasis::clCont &closure, std::v
...
@@ -1075,10 +1051,9 @@ static void generate1dVertexClosureFull(polynomialBasis::clCont &closure, std::v
closureRef
[
1
]
=
0
;
closureRef
[
1
]
=
0
;
}
}
static
void
getFaceClosureTet
(
int
iFace
,
int
iSign
,
int
iRotate
,
polynomialBasis
::
closure
&
closure
,
static
void
getFaceClosureTet
(
int
iFace
,
int
iSign
,
int
iRotate
,
int
order
)
polynomialBasis
::
closure
&
closure
,
int
order
)
{
{
closure
.
clear
();
closure
.
clear
();
closure
.
resize
((
order
+
1
)
*
(
order
+
2
)
/
2
);
closure
.
resize
((
order
+
1
)
*
(
order
+
2
)
/
2
);
closure
.
type
=
polynomialBasis
::
getTag
(
TYPE_TRI
,
order
,
false
);
closure
.
type
=
polynomialBasis
::
getTag
(
TYPE_TRI
,
order
,
false
);
...
@@ -1141,7 +1116,9 @@ static void getFaceClosureTet(int iFace, int iSign, int iRotate, polynomialBasis
...
@@ -1141,7 +1116,9 @@ static void getFaceClosureTet(int iFace, int iSign, int iRotate, polynomialBasis
break
;
break
;
}
}
}
}
static
void
generate2dEdgeClosureFull
(
polynomialBasis
::
clCont
&
closure
,
std
::
vector
<
int
>
&
closureRef
,
static
void
generate2dEdgeClosureFull
(
polynomialBasis
::
clCont
&
closure
,
std
::
vector
<
int
>
&
closureRef
,
int
order
,
int
nNod
,
bool
serendip
)
int
order
,
int
nNod
,
bool
serendip
)
{
{
closure
.
clear
();
closure
.
clear
();
...
@@ -1220,7 +1197,8 @@ static void generateFaceClosureTet(polynomialBasis::clCont &closure, int order)
...
@@ -1220,7 +1197,8 @@ static void generateFaceClosureTet(polynomialBasis::clCont &closure, int order)
}
}
}
}
static
void
generateFaceClosureTetFull
(
polynomialBasis
::
clCont
&
closureFull
,
std
::
vector
<
int
>
&
closureRef
,
static
void
generateFaceClosureTetFull
(
polynomialBasis
::
clCont
&
closureFull
,
std
::
vector
<
int
>
&
closureRef
,
int
order
,
bool
serendip
)
int
order
,
bool
serendip
)
{
{
closureFull
.
clear
();
closureFull
.
clear
();
...
@@ -1563,13 +1541,15 @@ const polynomialBasis *polynomialBases::find(int tag)
...
@@ -1563,13 +1541,15 @@ const polynomialBasis *polynomialBases::find(int tag)
case
TYPE_TRI
:
case
TYPE_TRI
:
F
.
numFaces
=
3
;
F
.
numFaces
=
3
;
F
.
dimension
=
2
;
F
.
dimension
=
2
;
F
.
monomials
=
F
.
serendip
?
generatePascalSerendipityTriangle
(
F
.
order
)
:
generatePascalTriangle
(
F
.
order
);
F
.
monomials
=
F
.
serendip
?
generatePascalSerendipityTriangle
(
F
.
order
)
:
generatePascalTriangle
(
F
.
order
);
F
.
points
=
gmshGeneratePointsTriangle
(
F
.
order
,
F
.
serendip
);
F
.
points
=
gmshGeneratePointsTriangle
(
F
.
order
,
F
.
serendip
);
if
(
F
.
order
==
0
)
{
if
(
F
.
order
==
0
)
{
generateClosureOrder0
(
F
.
closures
,
6
);
generateClosureOrder0
(
F
.
closures
,
6
);
generateClosureOrder0
(
F
.
fullClosures
,
6
);
generateClosureOrder0
(
F
.
fullClosures
,
6
);
F
.
closureRef
.
resize
(
6
,
0
);
F
.
closureRef
.
resize
(
6
,
0
);
}
else
{
}
else
{
generate2dEdgeClosure
(
F
.
closures
,
F
.
order
);
generate2dEdgeClosure
(
F
.
closures
,
F
.
order
);
generate2dEdgeClosureFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
,
3
,
F
.
serendip
);
generate2dEdgeClosureFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
,
3
,
F
.
serendip
);
}
}
...
@@ -1577,13 +1557,15 @@ const polynomialBasis *polynomialBases::find(int tag)
...
@@ -1577,13 +1557,15 @@ const polynomialBasis *polynomialBases::find(int tag)
case
TYPE_QUA
:
case
TYPE_QUA
:
F
.
numFaces
=
4
;
F
.
numFaces
=
4
;
F
.
dimension
=
2
;
F
.
dimension
=
2
;
F
.
monomials
=
F
.
serendip
?
generatePascalQuadSerendip
(
F
.
order
)
:
generatePascalQuad
(
F
.
order
);
F
.
monomials
=
F
.
serendip
?
generatePascalQuadSerendip
(
F
.
order
)
:
generatePascalQuad
(
F
.
order
);
F
.
points
=
gmshGeneratePointsQuad
(
F
.
order
,
F
.
serendip
);
F
.
points
=
gmshGeneratePointsQuad
(
F
.
order
,
F
.
serendip
);
if
(
F
.
order
==
0
)
{
if
(
F
.
order
==
0
)
{
generateClosureOrder0
(
F
.
closures
,
8
);
generateClosureOrder0
(
F
.
closures
,
8
);
generateClosureOrder0
(
F
.
fullClosures
,
8
);
generateClosureOrder0
(
F
.
fullClosures
,
8
);
F
.
closureRef
.
resize
(
8
,
0
);
F
.
closureRef
.
resize
(
8
,
0
);
}
else
{
}
else
{
generate2dEdgeClosure
(
F
.
closures
,
F
.
order
,
4
);
generate2dEdgeClosure
(
F
.
closures
,
F
.
order
,
4
);
generate2dEdgeClosureFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
,
4
,
F
.
serendip
);
generate2dEdgeClosureFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
,
4
,
F
.
serendip
);
}
}
...
@@ -1591,13 +1573,15 @@ const polynomialBasis *polynomialBases::find(int tag)
...
@@ -1591,13 +1573,15 @@ const polynomialBasis *polynomialBases::find(int tag)
case
TYPE_TET
:
case
TYPE_TET
:
F
.
numFaces
=
4
;
F
.
numFaces
=
4
;
F
.
dimension
=
3
;
F
.
dimension
=
3
;
F
.
monomials
=
F
.
serendip
?
generatePascalSerendipityTetrahedron
(
F
.
order
)
:
generatePascalTetrahedron
(
F
.
order
);
F
.
monomials
=
F
.
serendip
?
generatePascalSerendipityTetrahedron
(
F
.
order
)
:
generatePascalTetrahedron
(
F
.
order
);
F
.
points
=
gmshGeneratePointsTetrahedron
(
F
.
order
,
F
.
serendip
);
F
.
points
=
gmshGeneratePointsTetrahedron
(
F
.
order
,
F
.
serendip
);
if
(
F
.
order
==
0
)
{
if
(
F
.
order
==
0
)
{
generateClosureOrder0
(
F
.
closures
,
24
);
generateClosureOrder0
(
F
.
closures
,
24
);
generateClosureOrder0
(
F
.
fullClosures
,
24
);
generateClosureOrder0
(
F
.
fullClosures
,
24
);
F
.
closureRef
.
resize
(
24
,
0
);
F
.
closureRef
.
resize
(
24
,
0
);
}
else
{
}
else
{
generateFaceClosureTet
(
F
.
closures
,
F
.
order
);
generateFaceClosureTet
(
F
.
closures
,
F
.
order
);
generateFaceClosureTetFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
,
F
.
serendip
);
generateFaceClosureTetFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
,
F
.
serendip
);
}
}
...
@@ -1611,7 +1595,8 @@ const polynomialBasis *polynomialBases::find(int tag)
...
@@ -1611,7 +1595,8 @@ const polynomialBasis *polynomialBases::find(int tag)
generateClosureOrder0
(
F
.
closures
,
48
);
generateClosureOrder0
(
F
.
closures
,
48
);
generateClosureOrder0
(
F
.
fullClosures
,
48
);
generateClosureOrder0
(
F
.
fullClosures
,
48
);
F
.
closureRef
.
resize
(
48
,
0
);
F
.
closureRef
.
resize
(
48
,
0
);
}
else
{
}
else
{
generateFaceClosurePrism
(
F
.
closures
,
F
.
order
);
generateFaceClosurePrism
(
F
.
closures
,
F
.
order
);
generateFaceClosurePrismFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
);
generateFaceClosurePrismFull
(
F
.
fullClosures
,
F
.
closureRef
,
F
.
order
);
}
}
...
@@ -1621,8 +1606,8 @@ const polynomialBasis *polynomialBases::find(int tag)
...
@@ -1621,8 +1606,8 @@ const polynomialBasis *polynomialBases::find(int tag)
F
.
dimension
=
3
;
F
.
dimension
=
3
;
F
.
monomials
=
generatePascalHex
(
F
.
order
,
F
.
serendip
);
F
.
monomials
=
generatePascalHex
(
F
.
order
,
F
.
serendip
);
F
.
points
=
gmshGeneratePointsHex
(
F
.
order
,
F
.
serendip
);
F
.
points
=
gmshGeneratePointsHex
(
F
.
order
,
F
.
serendip
);
//
generateFaceClosureHex(F.closures, F.order);
// generateFaceClosureHex(F.closures, F.order);
//
generateFaceClosureHexFull(F.fullClosures, F.closureRef, F.order, F.serendip);
// generateFaceClosureHexFull(F.fullClosures, F.closureRef, F.order, F.serendip);
break
;
break
;
}
}
F
.
coefficients
=
generateLagrangeMonomialCoefficients
(
F
.
monomials
,
F
.
points
);
F
.
coefficients
=
generateLagrangeMonomialCoefficients
(
F
.
monomials
,
F
.
points
);
...
@@ -1655,4 +1640,3 @@ const fullMatrix<double> &polynomialBases::findInjector(int tag1, int tag2)
...
@@ -1655,4 +1640,3 @@ const fullMatrix<double> &polynomialBases::findInjector(int tag1, int tag2)
injector
.
insert
(
std
::
make_pair
(
key
,
inj
));
injector
.
insert
(
std
::
make_pair
(
key
,
inj
));
return
injector
[
key
];
return
injector
[
key
];
}
}
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