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Larry Price
gmsh
Commits
1674ef93
Commit
1674ef93
authored
17 years ago
by
Christophe Geuzaine
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2 changed files
Mesh/qualityMeasures.cpp
+106
-104
106 additions, 104 deletions
Mesh/qualityMeasures.cpp
Mesh/qualityMeasures.h
+20
-16
20 additions, 16 deletions
Mesh/qualityMeasures.h
with
126 additions
and
120 deletions
Mesh/qualityMeasures.cpp
+
106
−
104
View file @
1674ef93
...
...
@@ -4,141 +4,143 @@
#include
"MElement.h"
#include
"Numeric.h"
double
qmTriangle
(
const
BDS_Point
*
p1
,
const
BDS_Point
*
p2
,
const
BDS_Point
*
p3
,
const
gmshQualityMeasure4Triangle
&
cr
)
double
qmTriangle
(
const
BDS_Point
*
p1
,
const
BDS_Point
*
p2
,
const
BDS_Point
*
p3
,
const
gmshQualityMeasure4Triangle
&
cr
)
{
return
qmTriangle
(
p1
->
X
,
p1
->
Y
,
p1
->
Z
,
p2
->
X
,
p2
->
Y
,
p2
->
Z
,
p3
->
X
,
p3
->
Y
,
p3
->
Z
,
cr
);
return
qmTriangle
(
p1
->
X
,
p1
->
Y
,
p1
->
Z
,
p2
->
X
,
p2
->
Y
,
p2
->
Z
,
p3
->
X
,
p3
->
Y
,
p3
->
Z
,
cr
);
}
double
qmTriangle
(
BDS_Face
*
t
,
const
gmshQualityMeasure4Triangle
&
cr
)
double
qmTriangle
(
BDS_Face
*
t
,
const
gmshQualityMeasure4Triangle
&
cr
)
{
BDS_Point
*
n
[
4
];
t
->
getNodes
(
n
);
return
qmTriangle
(
n
[
0
],
n
[
1
],
n
[
2
],
cr
);
return
qmTriangle
(
n
[
0
],
n
[
1
],
n
[
2
],
cr
);
}
double
qmTriangle
(
MTriangle
*
t
,
const
gmshQualityMeasure4Triangle
&
cr
)
double
qmTriangle
(
MTriangle
*
t
,
const
gmshQualityMeasure4Triangle
&
cr
)
{
return
qmTriangle
(
t
->
getVertex
(
0
),
t
->
getVertex
(
1
),
t
->
getVertex
(
2
),
cr
);
return
qmTriangle
(
t
->
getVertex
(
0
),
t
->
getVertex
(
1
),
t
->
getVertex
(
2
),
cr
);
}
double
qmTriangle
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
gmshQualityMeasure4Triangle
&
cr
)
double
qmTriangle
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
gmshQualityMeasure4Triangle
&
cr
)
{
return
qmTriangle
(
v1
->
x
(),
v1
->
y
(),
v1
->
z
(),
v2
->
x
(),
v2
->
y
(),
v2
->
z
(),
v3
->
x
(),
v3
->
y
(),
v3
->
z
(),
cr
);
return
qmTriangle
(
v1
->
x
(),
v1
->
y
(),
v1
->
z
(),
v2
->
x
(),
v2
->
y
(),
v2
->
z
(),
v3
->
x
(),
v3
->
y
(),
v3
->
z
(),
cr
);
}
// Triangle abc
// quality is between 0 and 1
double
qmTriangle
(
const
double
&
xa
,
const
double
&
ya
,
const
double
&
za
,
const
double
&
xb
,
const
double
&
yb
,
const
double
&
zb
,
const
double
&
xc
,
const
double
&
yc
,
const
double
&
zc
,
const
gmshQualityMeasure4Triangle
&
cr
)
double
qmTriangle
(
const
double
&
xa
,
const
double
&
ya
,
const
double
&
za
,
const
double
&
xb
,
const
double
&
yb
,
const
double
&
zb
,
const
double
&
xc
,
const
double
&
yc
,
const
double
&
zc
,
const
gmshQualityMeasure4Triangle
&
cr
)
{
double
quality
;
switch
(
cr
)
switch
(
cr
){
case
QMTRI_RHO
:
{
case
QMTRI_RHO
:
{
// quality = rho / R = 2 * inscribed radius / circumradius
double
a
[
3
]
=
{
xc
-
xb
,
yc
-
yb
,
zc
-
zb
};
double
b
[
3
]
=
{
xa
-
xc
,
ya
-
yc
,
za
-
zc
};
double
c
[
3
]
=
{
xb
-
xa
,
yb
-
ya
,
zb
-
za
};
const
double
la
=
norme
(
a
);
const
double
lb
=
norme
(
b
);
const
double
lc
=
norme
(
c
);
double
pva
[
3
];
prodve
(
b
,
c
,
pva
);
const
double
sina
=
norm3
(
pva
);
double
pvb
[
3
];
prodve
(
c
,
a
,
pvb
);
const
double
sinb
=
norm3
(
pvb
);
double
pvc
[
3
];
prodve
(
a
,
b
,
pvc
);
const
double
sinc
=
norm3
(
pvc
);
if
(
sina
==
0.0
&&
sinb
==
0.0
&&
sinc
==
0.0
)
quality
=
0.0
;
else
quality
=
2
*
(
2
*
sina
*
sinb
*
sinc
/
(
sina
+
sinb
+
sinc
)
);
}
break
;
default
:
throw
;
}
// quality = rho / R = 2 * inscribed radius / circumradius
double
a
[
3
]
=
{
xc
-
xb
,
yc
-
yb
,
zc
-
zb
};
double
b
[
3
]
=
{
xa
-
xc
,
ya
-
yc
,
za
-
zc
};
double
c
[
3
]
=
{
xb
-
xa
,
yb
-
ya
,
zb
-
za
};
const
double
la
=
norme
(
a
);
const
double
lb
=
norme
(
b
);
const
double
lc
=
norme
(
c
);
double
pva
[
3
];
prodve
(
b
,
c
,
pva
);
const
double
sina
=
norm3
(
pva
);
double
pvb
[
3
];
prodve
(
c
,
a
,
pvb
);
const
double
sinb
=
norm3
(
pvb
);
double
pvc
[
3
];
prodve
(
a
,
b
,
pvc
);
const
double
sinc
=
norm3
(
pvc
);
if
(
sina
==
0.0
&&
sinb
==
0.0
&&
sinc
==
0.0
)
quality
=
0.0
;
else
quality
=
2
*
(
2
*
sina
*
sinb
*
sinc
/
(
sina
+
sinb
+
sinc
)
);
}
break
;
default
:
throw
;
}
return
quality
;
}
double
qmTet
(
MTetrahedron
*
t
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
)
double
qmTet
(
MTetrahedron
*
t
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
)
{
return
qmTet
(
t
->
getVertex
(
0
),
t
->
getVertex
(
1
),
t
->
getVertex
(
2
),
t
->
getVertex
(
3
),
cr
,
volume
);
return
qmTet
(
t
->
getVertex
(
0
),
t
->
getVertex
(
1
),
t
->
getVertex
(
2
),
t
->
getVertex
(
3
),
cr
,
volume
);
}
double
qmTet
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
MVertex
*
v4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
)
double
qmTet
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
MVertex
*
v4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
)
{
return
qmTet
(
v1
->
x
(),
v1
->
y
(),
v1
->
z
(),
v2
->
x
(),
v2
->
y
(),
v2
->
z
(),
v3
->
x
(),
v3
->
y
(),
v3
->
z
(),
v4
->
x
(),
v4
->
y
(),
v4
->
z
(),
cr
,
volume
);
return
qmTet
(
v1
->
x
(),
v1
->
y
(),
v1
->
z
(),
v2
->
x
(),
v2
->
y
(),
v2
->
z
(),
v3
->
x
(),
v3
->
y
(),
v3
->
z
(),
v4
->
x
(),
v4
->
y
(),
v4
->
z
(),
cr
,
volume
);
}
double
qmTet
(
const
double
&
x1
,
const
double
&
y1
,
const
double
&
z1
,
const
double
&
x2
,
const
double
&
y2
,
const
double
&
z2
,
const
double
&
x3
,
const
double
&
y3
,
const
double
&
z3
,
const
double
&
x4
,
const
double
&
y4
,
const
double
&
z4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
){
double
qmTet
(
const
double
&
x1
,
const
double
&
y1
,
const
double
&
z1
,
const
double
&
x2
,
const
double
&
y2
,
const
double
&
z2
,
const
double
&
x3
,
const
double
&
y3
,
const
double
&
z3
,
const
double
&
x4
,
const
double
&
y4
,
const
double
&
z4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
)
{
double
quality
;
switch
(
cr
)
switch
(
cr
){
case
QMTET_ONE
:
return
1.0
;
case
QMTET_3
:
{
double
mat
[
3
][
3
];
mat
[
0
][
0
]
=
x2
-
x1
;
mat
[
0
][
1
]
=
x3
-
x1
;
mat
[
0
][
2
]
=
x4
-
x1
;
mat
[
1
][
0
]
=
y2
-
y1
;
mat
[
1
][
1
]
=
y3
-
y1
;
mat
[
1
][
2
]
=
y4
-
y1
;
mat
[
2
][
0
]
=
z2
-
z1
;
mat
[
2
][
1
]
=
z3
-
z1
;
mat
[
2
][
2
]
=
z4
-
z1
;
*
volume
=
fabs
(
det3x3
(
mat
))
/
6.
;
double
l
=
((
x2
-
x1
)
*
(
x2
-
x1
)
+
(
y2
-
y1
)
*
(
y2
-
y1
)
+
(
z2
-
z1
)
*
(
z2
-
z1
));
l
+=
((
x3
-
x1
)
*
(
x3
-
x1
)
+
(
y3
-
y1
)
*
(
y3
-
y1
)
+
(
z3
-
z1
)
*
(
z3
-
z1
));
l
+=
((
x4
-
x1
)
*
(
x4
-
x1
)
+
(
y4
-
y1
)
*
(
y4
-
y1
)
+
(
z4
-
z1
)
*
(
z4
-
z1
));
l
+=
((
x3
-
x2
)
*
(
x3
-
x2
)
+
(
y3
-
y2
)
*
(
y3
-
y2
)
+
(
z3
-
z2
)
*
(
z3
-
z2
));
l
+=
((
x4
-
x2
)
*
(
x4
-
x2
)
+
(
y4
-
y2
)
*
(
y4
-
y2
)
+
(
z4
-
z2
)
*
(
z4
-
z2
));
l
+=
((
x3
-
x4
)
*
(
x3
-
x4
)
+
(
y3
-
y4
)
*
(
y3
-
y4
)
+
(
z3
-
z4
)
*
(
z3
-
z4
));
return
12.
*
pow
(
3
*
fabs
(
*
volume
),
2.
/
3.
)
/
l
;
}
case
QMTET_2
:
{
case
QMTET_ONE
:
return
1.0
;
case
QMTET_3
:
{
double
mat
[
3
][
3
];
mat
[
0
][
0
]
=
x2
-
x1
;
mat
[
0
][
1
]
=
x3
-
x1
;
mat
[
0
][
2
]
=
x4
-
x1
;
mat
[
1
][
0
]
=
y2
-
y1
;
mat
[
1
][
1
]
=
y3
-
y1
;
mat
[
1
][
2
]
=
y4
-
y1
;
mat
[
2
][
0
]
=
z2
-
z1
;
mat
[
2
][
1
]
=
z3
-
z1
;
mat
[
2
][
2
]
=
z4
-
z1
;
*
volume
=
fabs
(
det3x3
(
mat
))
/
6.
;
double
l
=
((
x2
-
x1
)
*
(
x2
-
x1
)
+
(
y2
-
y1
)
*
(
y2
-
y1
)
+
(
z2
-
z1
)
*
(
z2
-
z1
));
l
+=
((
x3
-
x1
)
*
(
x3
-
x1
)
+
(
y3
-
y1
)
*
(
y3
-
y1
)
+
(
z3
-
z1
)
*
(
z3
-
z1
));
l
+=
((
x4
-
x1
)
*
(
x4
-
x1
)
+
(
y4
-
y1
)
*
(
y4
-
y1
)
+
(
z4
-
z1
)
*
(
z4
-
z1
));
l
+=
((
x3
-
x2
)
*
(
x3
-
x2
)
+
(
y3
-
y2
)
*
(
y3
-
y2
)
+
(
z3
-
z2
)
*
(
z3
-
z2
));
l
+=
((
x4
-
x2
)
*
(
x4
-
x2
)
+
(
y4
-
y2
)
*
(
y4
-
y2
)
+
(
z4
-
z2
)
*
(
z4
-
z2
));
l
+=
((
x3
-
x4
)
*
(
x3
-
x4
)
+
(
y3
-
y4
)
*
(
y3
-
y4
)
+
(
z3
-
z4
)
*
(
z3
-
z4
));
return
12.
*
pow
(
3
*
fabs
(
*
volume
),
2.
/
3.
)
/
l
;
}
case
QMTET_2
:
{
double
mat
[
3
][
3
];
mat
[
0
][
0
]
=
x2
-
x1
;
mat
[
0
][
1
]
=
x3
-
x1
;
mat
[
0
][
2
]
=
x4
-
x1
;
mat
[
1
][
0
]
=
y2
-
y1
;
mat
[
1
][
1
]
=
y3
-
y1
;
mat
[
1
][
2
]
=
y4
-
y1
;
mat
[
2
][
0
]
=
z2
-
z1
;
mat
[
2
][
1
]
=
z3
-
z1
;
mat
[
2
][
2
]
=
z4
-
z1
;
*
volume
=
fabs
(
det3x3
(
mat
))
/
6.
;
double
p0
[
3
]
=
{
x1
,
y1
,
z1
};
double
p1
[
3
]
=
{
x2
,
y2
,
z2
};
double
p2
[
3
]
=
{
x3
,
y3
,
z3
};
double
p3
[
3
]
=
{
x4
,
y4
,
z4
};
double
s1
=
fabs
(
triangle_area
(
p0
,
p1
,
p2
));
double
s2
=
fabs
(
triangle_area
(
p0
,
p2
,
p3
));
double
s3
=
fabs
(
triangle_area
(
p0
,
p1
,
p3
));
double
s4
=
fabs
(
triangle_area
(
p1
,
p2
,
p3
));
double
rhoin
=
3.
*
fabs
(
*
volume
)
/
(
s1
+
s2
+
s3
+
s4
);
double
l
=
sqrt
((
x2
-
x1
)
*
(
x2
-
x1
)
+
(
y2
-
y1
)
*
(
y2
-
y1
)
+
(
z2
-
z1
)
*
(
z2
-
z1
));
l
=
std
::
max
(
l
,
sqrt
((
x3
-
x1
)
*
(
x3
-
x1
)
+
(
y3
-
y1
)
*
(
y3
-
y1
)
+
(
z3
-
z1
)
*
(
z3
-
z1
)));
l
=
std
::
max
(
l
,
sqrt
((
x4
-
x1
)
*
(
x4
-
x1
)
+
(
y4
-
y1
)
*
(
y4
-
y1
)
+
(
z4
-
z1
)
*
(
z4
-
z1
)));
l
=
std
::
max
(
l
,
sqrt
((
x3
-
x2
)
*
(
x3
-
x2
)
+
(
y3
-
y2
)
*
(
y3
-
y2
)
+
(
z3
-
z2
)
*
(
z3
-
z2
)));
l
=
std
::
max
(
l
,
sqrt
((
x4
-
x2
)
*
(
x4
-
x2
)
+
(
y4
-
y2
)
*
(
y4
-
y2
)
+
(
z4
-
z2
)
*
(
z4
-
z2
)));
l
=
std
::
max
(
l
,
sqrt
((
x3
-
x4
)
*
(
x3
-
x4
)
+
(
y3
-
y4
)
*
(
y3
-
y4
)
+
(
z3
-
z4
)
*
(
z3
-
z4
)));
return
2.
*
sqrt
(
6.
)
*
rhoin
/
l
;
}
break
;
default
:
throw
;
double
mat
[
3
][
3
];
mat
[
0
][
0
]
=
x2
-
x1
;
mat
[
0
][
1
]
=
x3
-
x1
;
mat
[
0
][
2
]
=
x4
-
x1
;
mat
[
1
][
0
]
=
y2
-
y1
;
mat
[
1
][
1
]
=
y3
-
y1
;
mat
[
1
][
2
]
=
y4
-
y1
;
mat
[
2
][
0
]
=
z2
-
z1
;
mat
[
2
][
1
]
=
z3
-
z1
;
mat
[
2
][
2
]
=
z4
-
z1
;
*
volume
=
fabs
(
det3x3
(
mat
))
/
6.
;
double
p0
[
3
]
=
{
x1
,
y1
,
z1
};
double
p1
[
3
]
=
{
x2
,
y2
,
z2
};
double
p2
[
3
]
=
{
x3
,
y3
,
z3
};
double
p3
[
3
]
=
{
x4
,
y4
,
z4
};
double
s1
=
fabs
(
triangle_area
(
p0
,
p1
,
p2
));
double
s2
=
fabs
(
triangle_area
(
p0
,
p2
,
p3
));
double
s3
=
fabs
(
triangle_area
(
p0
,
p1
,
p3
));
double
s4
=
fabs
(
triangle_area
(
p1
,
p2
,
p3
));
double
rhoin
=
3.
*
fabs
(
*
volume
)
/
(
s1
+
s2
+
s3
+
s4
);
double
l
=
sqrt
((
x2
-
x1
)
*
(
x2
-
x1
)
+
(
y2
-
y1
)
*
(
y2
-
y1
)
+
(
z2
-
z1
)
*
(
z2
-
z1
));
l
=
std
::
max
(
l
,
sqrt
((
x3
-
x1
)
*
(
x3
-
x1
)
+
(
y3
-
y1
)
*
(
y3
-
y1
)
+
(
z3
-
z1
)
*
(
z3
-
z1
)));
l
=
std
::
max
(
l
,
sqrt
((
x4
-
x1
)
*
(
x4
-
x1
)
+
(
y4
-
y1
)
*
(
y4
-
y1
)
+
(
z4
-
z1
)
*
(
z4
-
z1
)));
l
=
std
::
max
(
l
,
sqrt
((
x3
-
x2
)
*
(
x3
-
x2
)
+
(
y3
-
y2
)
*
(
y3
-
y2
)
+
(
z3
-
z2
)
*
(
z3
-
z2
)));
l
=
std
::
max
(
l
,
sqrt
((
x4
-
x2
)
*
(
x4
-
x2
)
+
(
y4
-
y2
)
*
(
y4
-
y2
)
+
(
z4
-
z2
)
*
(
z4
-
z2
)));
l
=
std
::
max
(
l
,
sqrt
((
x3
-
x4
)
*
(
x3
-
x4
)
+
(
y3
-
y4
)
*
(
y3
-
y4
)
+
(
z3
-
z4
)
*
(
z3
-
z4
)));
return
2.
*
sqrt
(
6.
)
*
rhoin
/
l
;
}
break
;
default
:
throw
;
}
}
This diff is collapsed.
Click to expand it.
Mesh/qualityMeasures.h
+
20
−
16
View file @
1674ef93
...
...
@@ -9,21 +9,25 @@ class MTetrahedron;
enum
gmshQualityMeasure4Triangle
{
QMTRI_RHO
};
enum
gmshQualityMeasure4Tet
{
QMTET_1
,
QMTET_2
,
QMTET_3
,
QMTET_ONE
};
double
qmTriangle
(
MTriangle
*
f
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
BDS_Face
*
f
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
BDS_Point
*
p1
,
const
BDS_Point
*
p2
,
const
BDS_Point
*
p3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
double
*
d1
,
const
double
*
d2
,
const
double
*
d3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
double
&
x1
,
const
double
&
y1
,
const
double
&
z1
,
const
double
&
x2
,
const
double
&
y2
,
const
double
&
z2
,
const
double
&
x3
,
const
double
&
y3
,
const
double
&
z3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTet
(
MTetrahedron
*
t
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
=
0
);
double
qmTet
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
MVertex
*
v4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
=
0
);
double
qmTet
(
const
double
&
x1
,
const
double
&
y1
,
const
double
&
z1
,
const
double
&
x2
,
const
double
&
y2
,
const
double
&
z2
,
const
double
&
x3
,
const
double
&
y3
,
const
double
&
z3
,
const
double
&
x4
,
const
double
&
y4
,
const
double
&
z4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
=
0
);
double
qmTriangle
(
MTriangle
*
f
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
BDS_Face
*
f
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
BDS_Point
*
p1
,
const
BDS_Point
*
p2
,
const
BDS_Point
*
p3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
double
*
d1
,
const
double
*
d2
,
const
double
*
d3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTriangle
(
const
double
&
x1
,
const
double
&
y1
,
const
double
&
z1
,
const
double
&
x2
,
const
double
&
y2
,
const
double
&
z2
,
const
double
&
x3
,
const
double
&
y3
,
const
double
&
z3
,
const
gmshQualityMeasure4Triangle
&
cr
);
double
qmTet
(
MTetrahedron
*
t
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
=
0
);
double
qmTet
(
const
MVertex
*
v1
,
const
MVertex
*
v2
,
const
MVertex
*
v3
,
const
MVertex
*
v4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
=
0
);
double
qmTet
(
const
double
&
x1
,
const
double
&
y1
,
const
double
&
z1
,
const
double
&
x2
,
const
double
&
y2
,
const
double
&
z2
,
const
double
&
x3
,
const
double
&
y3
,
const
double
&
z3
,
const
double
&
x4
,
const
double
&
y4
,
const
double
&
z4
,
const
gmshQualityMeasure4Tet
&
cr
,
double
*
volume
=
0
);
#endif
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