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Larry Price
gmsh
Commits
1913de18
Commit
1913de18
authored
18 years ago
by
Christophe Geuzaine
Browse files
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more fixes for order > 2
parent
e344f111
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1 changed file
Mesh/HighOrder.cpp
+108
-116
108 additions, 116 deletions
Mesh/HighOrder.cpp
with
108 additions
and
116 deletions
Mesh/HighOrder.cpp
+
108
−
116
View file @
1913de18
// $Id: HighOrder.cpp,v 1.
4
2007-0
2-28 13:36:57
geuzaine Exp $
// $Id: HighOrder.cpp,v 1.
5
2007-0
3-01 12:02:02
geuzaine Exp $
//
// Copyright (C) 1997-2007 C. Geuzaine, J.-F. Remacle
//
...
...
@@ -89,6 +89,21 @@ bool reparamOnFace(MVertex *v, GFace *gf, SPoint2 ¶m)
return
true
;
}
bool
reparamOnEdge
(
MVertex
*
v
,
GEdge
*
ge
,
double
&
param
)
{
param
=
1.e6
;
Range
<
double
>
bounds
=
ge
->
parBounds
(
0
);
if
(
ge
->
getBeginVertex
()
&&
ge
->
getBeginVertex
()
->
mesh_vertices
[
0
]
==
v
)
param
=
bounds
.
low
();
else
if
(
ge
->
getEndVertex
()
&&
ge
->
getEndVertex
()
->
mesh_vertices
[
0
]
==
v
)
param
=
bounds
.
high
();
else
v
->
getParameter
(
0
,
param
);
if
(
param
<
1.e6
)
return
true
;
return
false
;
}
void
getEdgeVertices
(
GEdge
*
ge
,
MElement
*
ele
,
std
::
vector
<
MVertex
*>
&
ve
,
edgeContainer
&
edgeVertices
,
bool
linear
,
int
nPts
=
1
)
{
...
...
@@ -98,25 +113,20 @@ void getEdgeVertices(GEdge *ge, MElement *ele, std::vector<MVertex*> &ve,
MEdge
edge
=
ele
->
getEdge
(
i
);
std
::
pair
<
MVertex
*
,
MVertex
*>
p
(
edge
.
getMinVertex
(),
edge
.
getMaxVertex
());
if
(
edgeVertices
.
count
(
p
)){
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
())
ve
.
insert
(
ve
.
end
(),
edgeVertices
[
p
].
begin
(),
edgeVertices
[
p
].
end
());
else
ve
.
insert
(
ve
.
end
(),
edgeVertices
[
p
].
rbegin
(),
edgeVertices
[
p
].
rend
());
}
else
{
MVertex
*
v0
=
edge
.
getVertex
(
0
),
*
v1
=
edge
.
getVertex
(
1
);
double
u0
=
0.
,
u1
=
0.
;
bool
reparamOK
=
true
;
if
(
hermite
||
(
!
linear
&&
ge
->
geomType
()
!=
GEntity
::
DiscreteCurve
)){
reparamOK
&=
reparamOnEdge
(
v0
,
ge
,
u0
);
reparamOK
&=
reparamOnEdge
(
v1
,
ge
,
u1
);
}
if
(
nPts
==
2
&&
hermite
){
MVertex
*
v0
=
edge
.
getMinVertex
(),
*
v1
=
edge
.
getMaxVertex
();
double
u0
=
1e6
,
u1
=
1e6
;
Range
<
double
>
bounds
=
ge
->
parBounds
(
0
);
if
(
ge
->
getBeginVertex
()
&&
ge
->
getBeginVertex
()
->
mesh_vertices
[
0
]
==
v0
)
u0
=
bounds
.
low
();
else
if
(
ge
->
getEndVertex
()
&&
ge
->
getEndVertex
()
->
mesh_vertices
[
0
]
==
v0
)
u0
=
bounds
.
high
();
else
v0
->
getParameter
(
0
,
u0
);
if
(
ge
->
getBeginVertex
()
&&
ge
->
getBeginVertex
()
->
mesh_vertices
[
0
]
==
v1
)
u1
=
bounds
.
low
();
else
if
(
ge
->
getEndVertex
()
&&
ge
->
getEndVertex
()
->
mesh_vertices
[
0
]
==
v1
)
u1
=
bounds
.
high
();
else
v1
->
getParameter
(
0
,
u1
);
SVector3
tv1
=
ge
->
firstDer
(
u0
);
SVector3
tv2
=
ge
->
firstDer
(
u1
);
tv1
.
normalize
();
...
...
@@ -125,62 +135,44 @@ void getEdgeVertices(GEdge *ge, MElement *ele, std::vector<MVertex*> &ve,
SPoint3
vv0
(
v0
->
x
(),
v0
->
y
(),
0
),
vv1
(
v1
->
x
(),
v1
->
y
(),
0
);
SPoint3
one_third
,
two_third
;
Hermite2D_C1
(
vv0
,
vv1
,
t1
,
t2
,
one_third
,
two_third
);
printf
(
"points (%g,%g) (%g,%g) tg (%g,%g) (%g,%g) int (%g,%g) and (%g,%g)
\n
"
,
v0
->
x
(),
v0
->
y
(),
v1
->
x
(),
v1
->
y
(),
tv1
.
x
(),
tv1
.
y
(),
tv2
.
x
(),
tv2
.
y
(),
one_third
.
x
(),
one_third
.
y
(),
two_third
.
x
(),
two_third
.
y
());
{
MVertex
*
v1
=
new
MVertex
(
one_third
.
x
(),
one_third
.
y
(),
0
);
MVertex
*
v2
=
new
MVertex
(
two_third
.
x
(),
two_third
.
y
(),
0
);
edgeVertices
[
p
].
push_back
(
v1
);
ge
->
mesh_vertices
.
push_back
(
v1
);
ve
.
push_back
(
v1
);
edgeVertices
[
p
].
push_back
(
v2
);
ge
->
mesh_vertices
.
push_back
(
v2
);
ve
.
push_back
(
v2
);
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
()){
edgeVertices
[
p
].
push_back
(
v1
);
edgeVertices
[
p
].
push_back
(
v2
);
}
else
{
edgeVertices
[
p
].
push_back
(
v2
);
edgeVertices
[
p
].
push_back
(
v1
);
}
}
else
{
MVertex
*
v0
=
edge
.
getMinVertex
(),
*
v1
=
edge
.
getMaxVertex
();
std
::
vector
<
MVertex
*>
temp
;
for
(
int
j
=
0
;
j
<
nPts
;
j
++
){
MVertex
*
v
;
double
t
=
(
double
)(
j
+
1
)
/
(
nPts
+
1
);
if
(
linear
||
ge
->
geomType
()
==
GEntity
::
DiscreteCurve
){
double
uc
=
(
1.
-
t
)
*
u0
+
t
*
u1
;
MVertex
*
v
;
if
(
!
reparamOK
||
linear
||
ge
->
geomType
()
==
GEntity
::
DiscreteCurve
||
uc
<
u0
||
uc
>
u1
){
// need to treat periodic curves properly!
SPoint3
pc
=
edge
.
interpolate
(
t
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
ge
);
}
else
{
double
u0
=
1e6
,
u1
=
1e6
;
Range
<
double
>
bounds
=
ge
->
parBounds
(
0
);
if
(
ge
->
getBeginVertex
()
&&
ge
->
getBeginVertex
()
->
mesh_vertices
[
0
]
==
v0
)
u0
=
bounds
.
low
();
else
if
(
ge
->
getEndVertex
()
&&
ge
->
getEndVertex
()
->
mesh_vertices
[
0
]
==
v0
)
u0
=
bounds
.
high
();
else
v0
->
getParameter
(
0
,
u0
);
if
(
ge
->
getBeginVertex
()
&&
ge
->
getBeginVertex
()
->
mesh_vertices
[
0
]
==
v1
)
u1
=
bounds
.
low
();
else
if
(
ge
->
getEndVertex
()
&&
ge
->
getEndVertex
()
->
mesh_vertices
[
0
]
==
v1
)
u1
=
bounds
.
high
();
else
v1
->
getParameter
(
0
,
u1
);
double
uc
=
(
1.
-
t
)
*
u0
+
t
*
u1
;
if
(
u0
<
1e6
&&
u1
<
1e6
&&
((
edge
.
getMinVertex
()
==
edge
.
getVertex
(
0
)
&&
uc
>
u0
&&
uc
<
u1
)
||
(
edge
.
getMinVertex
()
==
edge
.
getVertex
(
1
)
&&
uc
<
u0
&&
uc
>
u1
))){
GPoint
pc
=
ge
->
point
(
uc
);
v
=
new
MEdgeVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
ge
,
uc
);
}
else
{
// normally never here, but we don't treat periodic curves
// properly, so we can get uc outside u0,u1
SPoint3
pc
=
edge
.
interpolate
(
t
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
ge
);
}
}
edgeVertices
[
p
].
push_back
(
v
);
temp
.
push_back
(
v
);
ge
->
mesh_vertices
.
push_back
(
v
);
ve
.
push_back
(
v
);
}
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
())
edgeVertices
[
p
].
insert
(
edgeVertices
[
p
].
end
(),
temp
.
begin
(),
temp
.
end
());
else
edgeVertices
[
p
].
insert
(
edgeVertices
[
p
].
end
(),
temp
.
rbegin
(),
temp
.
rend
());
}
}
}
...
...
@@ -191,43 +183,44 @@ void getEdgeVertices(GFace *gf, MElement *ele, std::vector<MVertex*> &ve,
{
for
(
int
i
=
0
;
i
<
ele
->
getNumEdges
();
i
++
){
MEdge
edge
=
ele
->
getEdge
(
i
);
std
::
vector
<
MVertex
*>
temp
;
std
::
pair
<
MVertex
*
,
MVertex
*>
p
(
edge
.
getMinVertex
(),
edge
.
getMaxVertex
());
if
(
edgeVertices
.
count
(
p
)){
temp
=
edgeVertices
[
p
];
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
())
ve
.
insert
(
ve
.
end
(),
edgeVertices
[
p
].
begin
(),
edgeVertices
[
p
].
end
());
else
ve
.
insert
(
ve
.
end
(),
edgeVertices
[
p
].
rbegin
(),
edgeVertices
[
p
].
rend
());
}
else
{
MVertex
*
v0
=
edge
.
getMinVertex
(),
*
v1
=
edge
.
getMaxVertex
();
MVertex
*
v0
=
edge
.
getVertex
(
0
),
*
v1
=
edge
.
getVertex
(
1
);
SPoint2
p0
,
p1
;
bool
reparamOK
=
true
;
if
(
!
linear
&&
gf
->
geomType
()
!=
GEntity
::
DiscreteSurface
){
reparamOK
&=
reparamOnFace
(
v0
,
gf
,
p0
);
reparamOK
&=
reparamOnFace
(
v1
,
gf
,
p1
);
}
std
::
vector
<
MVertex
*>
temp
;
for
(
int
j
=
0
;
j
<
nPts
;
j
++
){
const
double
t
=
(
double
)(
j
+
1
)
/
(
nPts
+
1
);
MVertex
*
v
;
if
(
linear
||
gf
->
geomType
()
==
GEntity
::
DiscreteSurface
){
if
(
!
reparamOK
||
linear
||
gf
->
geomType
()
==
GEntity
::
DiscreteSurface
){
SPoint3
pc
=
edge
.
interpolate
(
t
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
);
}
else
{
SPoint2
p0
,
p1
;
if
(
reparamOnFace
(
v0
,
gf
,
p0
)
&&
reparamOnFace
(
v1
,
gf
,
p1
)){
double
uc
=
(
1.
-
t
)
*
p0
[
0
]
+
t
*
p1
[
0
];
double
vc
=
(
1.
-
t
)
*
p0
[
1
]
+
t
*
p1
[
1
];
GPoint
pc
=
gf
->
point
(
uc
,
vc
);
v
=
new
MFaceVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
,
uc
,
vc
);
}
else
{
// need to treat seams correctly!
SPoint3
pc
=
edge
.
interpolate
(
t
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
);
}
}
edgeVertices
[
p
].
push_back
(
v
);
gf
->
mesh_vertices
.
push_back
(
v
);
temp
.
push_back
(
v
);
gf
->
mesh_vertices
.
push_back
(
v
);
ve
.
push_back
(
v
);
}
}
if
(
edge
.
getMinVertex
()
==
edge
.
getVertex
(
0
))
ve
.
insert
(
ve
.
end
(),
temp
.
begin
(),
temp
.
end
());
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
())
edgeVertices
[
p
].
insert
(
edgeVertices
[
p
].
end
(),
temp
.
begin
(),
temp
.
end
());
else
ve
.
insert
(
ve
.
end
(),
temp
.
rbegin
(),
temp
.
rend
());
edgeVertices
[
p
].
insert
(
edgeVertices
[
p
].
end
(),
temp
.
rbegin
(),
temp
.
rend
());
}
}
}
...
...
@@ -238,17 +231,25 @@ void getEdgeVertices(GRegion *gr, MElement *ele, std::vector<MVertex*> &ve,
MEdge
edge
=
ele
->
getEdge
(
i
);
std
::
pair
<
MVertex
*
,
MVertex
*>
p
(
edge
.
getMinVertex
(),
edge
.
getMaxVertex
());
if
(
edgeVertices
.
count
(
p
)){
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
())
ve
.
insert
(
ve
.
end
(),
edgeVertices
[
p
].
begin
(),
edgeVertices
[
p
].
end
());
else
ve
.
insert
(
ve
.
end
(),
edgeVertices
[
p
].
rbegin
(),
edgeVertices
[
p
].
rend
());
}
else
{
std
::
vector
<
MVertex
*>
temp
;
for
(
int
j
=
0
;
j
<
nPts
;
j
++
){
double
t
=
(
double
)(
j
+
1
)
/
(
nPts
+
1
);
SPoint3
pc
=
edge
.
interpolate
(
t
);
MVertex
*
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gr
);
edgeVertices
[
p
]
.
push_back
(
v
);
temp
.
push_back
(
v
);
gr
->
mesh_vertices
.
push_back
(
v
);
ve
.
push_back
(
v
);
}
if
(
edge
.
getVertex
(
0
)
==
edge
.
getMinVertex
())
edgeVertices
[
p
].
insert
(
edgeVertices
[
p
].
end
(),
temp
.
begin
(),
temp
.
end
());
else
edgeVertices
[
p
].
insert
(
edgeVertices
[
p
].
end
(),
temp
.
rbegin
(),
temp
.
rend
());
}
}
}
...
...
@@ -264,31 +265,31 @@ void getFaceVertices(GFace *gf, MElement *ele, std::vector<MVertex*> &vf,
vf
.
insert
(
vf
.
end
(),
faceVertices
[
p
].
begin
(),
faceVertices
[
p
].
end
());
}
else
{
SPoint2
p0
,
p1
,
p2
,
p3
;
bool
reparamOK
=
true
;
if
(
!
linear
&&
gf
->
geomType
()
!=
GEntity
::
DiscreteSurface
){
reparamOK
&=
reparamOnFace
(
p
[
0
],
gf
,
p0
);
reparamOK
&=
reparamOnFace
(
p
[
1
],
gf
,
p1
);
reparamOK
&=
reparamOnFace
(
p
[
2
],
gf
,
p2
);
if
(
face
.
getNumVertices
()
==
4
)
reparamOK
&=
reparamOnFace
(
p
[
3
],
gf
,
p3
);
}
if
(
face
.
getNumVertices
()
==
3
){
// triangles
for
(
int
j
=
0
;
j
<
nPts
;
j
++
){
for
(
int
k
=
0
;
k
<
nPts
-
j
-
1
;
k
++
){
MVertex
*
v
;
double
t1
=
(
double
)(
j
+
1
)
/
(
nPts
+
1
);
double
t2
=
(
double
)(
k
+
1
)
/
(
nPts
+
1
);
if
(
linear
||
gf
->
geomType
()
==
GEntity
::
DiscreteSurface
){
if
(
!
reparamOK
||
linear
||
gf
->
geomType
()
==
GEntity
::
DiscreteSurface
){
SPoint3
pc
=
face
.
interpolate
(
t1
,
t2
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
);
}
else
{
SPoint2
p0
,
p1
,
p2
;
if
(
reparamOnFace
(
p
[
0
],
gf
,
p0
)
&&
reparamOnFace
(
p
[
1
],
gf
,
p1
)
&&
reparamOnFace
(
p
[
2
],
gf
,
p2
)){
double
uc
=
(
1.
-
t1
-
t2
)
*
p0
[
0
]
+
t1
*
p1
[
0
]
+
t2
*
p2
[
0
];
double
vc
=
(
1.
-
t1
-
t2
)
*
p0
[
1
]
+
t1
*
p1
[
1
]
+
t2
*
p2
[
1
];
GPoint
pc
=
gf
->
point
(
uc
,
vc
);
v
=
new
MFaceVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
,
uc
,
vc
);
}
else
{
// need to treat seams correctly!
SPoint3
pc
=
face
.
interpolate
(
t1
,
t2
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
);
}
}
faceVertices
[
p
].
push_back
(
v
);
gf
->
mesh_vertices
.
push_back
(
v
);
vf
.
push_back
(
v
);
...
...
@@ -302,14 +303,11 @@ void getFaceVertices(GFace *gf, MElement *ele, std::vector<MVertex*> &vf,
// parameters are between -1 and 1
double
t1
=
2.
*
(
double
)(
j
+
1
)
/
(
nPts
+
1
)
-
1.
;
double
t2
=
2.
*
(
double
)(
k
+
1
)
/
(
nPts
+
1
)
-
1.
;
if
(
linear
||
gf
->
geomType
()
==
GEntity
::
DiscreteSurface
){
if
(
!
reparamOK
||
linear
||
gf
->
geomType
()
==
GEntity
::
DiscreteSurface
){
SPoint3
pc
=
face
.
interpolate
(
t1
,
t2
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
);
}
else
{
SPoint2
p0
,
p1
,
p2
,
p3
;
if
(
reparamOnFace
(
p
[
0
],
gf
,
p0
)
&&
reparamOnFace
(
p
[
1
],
gf
,
p1
)
&&
reparamOnFace
(
p
[
2
],
gf
,
p2
)
&&
reparamOnFace
(
p
[
3
],
gf
,
p3
)){
double
uc
=
0.25
*
((
1
-
t1
)
*
(
1
-
t2
)
*
p0
[
0
]
+
(
1
+
t1
)
*
(
1
-
t2
)
*
p1
[
0
]
+
(
1
+
t1
)
*
(
1
+
t2
)
*
p2
[
0
]
+
...
...
@@ -321,12 +319,6 @@ void getFaceVertices(GFace *gf, MElement *ele, std::vector<MVertex*> &vf,
GPoint
pc
=
gf
->
point
(
uc
,
vc
);
v
=
new
MFaceVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
,
uc
,
vc
);
}
else
{
// need to treat seams correctly!
SPoint3
pc
=
face
.
interpolate
(
t1
,
t2
);
v
=
new
MVertex
(
pc
.
x
(),
pc
.
y
(),
pc
.
z
(),
gf
);
}
}
faceVertices
[
p
].
push_back
(
v
);
gf
->
mesh_vertices
.
push_back
(
v
);
vf
.
push_back
(
v
);
...
...
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