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Larry Price
gmsh
Commits
79c15ab3
Commit
79c15ab3
authored
Aug 25, 2014
by
Amaury Johnen
Browse files
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cleanup
parent
46b9f33d
No related branches found
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Changes
2
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2 changed files
Numeric/MetricBasis.cpp
+65
-188
65 additions, 188 deletions
Numeric/MetricBasis.cpp
Numeric/MetricBasis.h
+24
-4
24 additions, 4 deletions
Numeric/MetricBasis.h
with
89 additions
and
192 deletions
Numeric/MetricBasis.cpp
+
65
−
188
View file @
79c15ab3
...
...
@@ -89,87 +89,14 @@ double MetricBasis::minRCorner(MElement *el)
// Metric coefficients
fullMatrix
<
double
>
metCoeffLag
;
switch
(
el
->
getDim
())
{
case
0
:
return
-
1.
;
case
1
:
case
2
:
Msg
::
Fatal
(
"not implemented"
);
break
;
case
3
:
{
fullMatrix
<
double
>
dxyzdX
(
nSampPnts
,
3
),
dxyzdY
(
nSampPnts
,
3
),
dxyzdZ
(
nSampPnts
,
3
);
gradients
->
getGradientsFromNodes
(
nodes
,
&
dxyzdX
,
&
dxyzdY
,
&
dxyzdZ
);
metCoeffLag
.
resize
(
nSampPnts
,
7
);
for
(
int
i
=
0
;
i
<
nSampPnts
;
i
++
)
{
const
double
&
dxdX
=
dxyzdX
(
i
,
0
),
&
dydX
=
dxyzdX
(
i
,
1
),
&
dzdX
=
dxyzdX
(
i
,
2
);
const
double
&
dxdY
=
dxyzdY
(
i
,
0
),
&
dydY
=
dxyzdY
(
i
,
1
),
&
dzdY
=
dxyzdY
(
i
,
2
);
const
double
&
dxdZ
=
dxyzdZ
(
i
,
0
),
&
dydZ
=
dxyzdZ
(
i
,
1
),
&
dzdZ
=
dxyzdZ
(
i
,
2
);
const
double
dvxdX
=
dxdX
*
dxdX
+
dydX
*
dydX
+
dzdX
*
dzdX
;
const
double
dvxdY
=
dxdY
*
dxdY
+
dydY
*
dydY
+
dzdY
*
dzdY
;
const
double
dvxdZ
=
dxdZ
*
dxdZ
+
dydZ
*
dydZ
+
dzdZ
*
dzdZ
;
metCoeffLag
(
i
,
0
)
=
(
dvxdX
+
dvxdY
+
dvxdZ
)
/
3
;
metCoeffLag
(
i
,
1
)
=
dvxdX
-
metCoeffLag
(
i
,
0
);
metCoeffLag
(
i
,
2
)
=
dvxdY
-
metCoeffLag
(
i
,
0
);
metCoeffLag
(
i
,
3
)
=
dvxdZ
-
metCoeffLag
(
i
,
0
);
const
double
fact
=
std
::
sqrt
(
2
);
metCoeffLag
(
i
,
4
)
=
fact
*
(
dxdX
*
dxdY
+
dydX
*
dydY
+
dzdX
*
dzdY
);
metCoeffLag
(
i
,
5
)
=
fact
*
(
dxdZ
*
dxdY
+
dydZ
*
dydY
+
dzdZ
*
dzdY
);
metCoeffLag
(
i
,
6
)
=
fact
*
(
dxdX
*
dxdZ
+
dydX
*
dydZ
+
dzdX
*
dzdZ
);
}
}
break
;
}
_fillCoeff
(
gradients
,
nodes
,
metCoeffLag
);
// Jacobian coefficients
fullVector
<
double
>
jacLag
(
jacobian
->
getNumJacNodes
());
jacobian
->
getSignedJacobian
(
nodes
,
jacLag
);
// Compute min_corner(R)
double
Rmin
=
1.
;
for
(
int
i
=
0
;
i
<
nSampPnts
;
++
i
)
{
if
(
jacLag
(
i
)
<=
0.
)
{
Rmin
=
std
::
min
(
Rmin
,
0.
);
}
else
{
double
q
=
metCoeffLag
(
i
,
0
);
double
p
=
0
;
for
(
int
k
=
1
;
k
<
7
;
++
k
)
{
p
+=
pow_int
(
metCoeffLag
(
i
,
k
),
2
);
}
p
=
std
::
sqrt
(
p
/
6
);
const
double
a
=
q
/
p
;
if
(
a
>
1e4
)
{
Rmin
=
std
::
min
(
Rmin
,
std
::
sqrt
((
a
-
std
::
sqrt
(
3
))
/
(
a
+
std
::
sqrt
(
3
))));
}
else
{
const
double
x
=
.5
*
(
jacLag
(
i
)
/
p
/
p
*
jacLag
(
i
)
/
p
-
a
*
a
*
a
+
3
*
a
);
if
(
x
>
1.1
||
x
<
-
1.1
)
{
Msg
::
Error
(
"x much smaller than -1 or much greater than 1"
);
}
double
tmpR
;
if
(
x
>=
1
)
tmpR
=
(
a
-
1
)
/
(
a
+
2
);
else
if
(
x
<=
-
1
)
tmpR
=
(
a
-
2
)
/
(
a
+
1
);
else
{
const
double
phi
=
std
::
acos
(
x
)
/
3
;
tmpR
=
(
a
+
2
*
std
::
cos
(
phi
+
2
*
M_PI
/
3
))
/
(
a
+
2
*
std
::
cos
(
phi
));
}
if
(
tmpR
<
0
)
{
if
(
tmpR
<
-
1e-7
)
Msg
::
Error
(
"negative R !!!"
);
else
tmpR
=
0
;
}
Rmin
=
std
::
min
(
Rmin
,
std
::
sqrt
(
tmpR
));
}
}
}
return
Rmin
;
return
_computeMinlagR
(
jacLag
,
metCoeffLag
,
nSampPnts
);
}
double
MetricBasis
::
minSampledR
(
MElement
*
el
,
int
order
)
...
...
@@ -244,41 +171,7 @@ double MetricBasis::getBoundMinR(MElement *el)
// Metric coefficients
fullMatrix
<
double
>
metCoeffLag
;
switch
(
el
->
getDim
())
{
case
0
:
return
-
1.
;
case
1
:
case
2
:
Msg
::
Fatal
(
"not implemented"
);
break
;
case
3
:
{
fullMatrix
<
double
>
dxyzdX
(
nSampPnts
,
3
),
dxyzdY
(
nSampPnts
,
3
),
dxyzdZ
(
nSampPnts
,
3
);
_gradients
->
getGradientsFromNodes
(
nodes
,
&
dxyzdX
,
&
dxyzdY
,
&
dxyzdZ
);
metCoeffLag
.
resize
(
nSampPnts
,
7
);
for
(
int
i
=
0
;
i
<
nSampPnts
;
i
++
)
{
const
double
&
dxdX
=
dxyzdX
(
i
,
0
),
&
dydX
=
dxyzdX
(
i
,
1
),
&
dzdX
=
dxyzdX
(
i
,
2
);
const
double
&
dxdY
=
dxyzdY
(
i
,
0
),
&
dydY
=
dxyzdY
(
i
,
1
),
&
dzdY
=
dxyzdY
(
i
,
2
);
const
double
&
dxdZ
=
dxyzdZ
(
i
,
0
),
&
dydZ
=
dxyzdZ
(
i
,
1
),
&
dzdZ
=
dxyzdZ
(
i
,
2
);
const
double
dvxdX
=
dxdX
*
dxdX
+
dydX
*
dydX
+
dzdX
*
dzdX
;
const
double
dvxdY
=
dxdY
*
dxdY
+
dydY
*
dydY
+
dzdY
*
dzdY
;
const
double
dvxdZ
=
dxdZ
*
dxdZ
+
dydZ
*
dydZ
+
dzdZ
*
dzdZ
;
metCoeffLag
(
i
,
0
)
=
(
dvxdX
+
dvxdY
+
dvxdZ
)
/
3
;
metCoeffLag
(
i
,
1
)
=
dvxdX
-
metCoeffLag
(
i
,
0
);
metCoeffLag
(
i
,
2
)
=
dvxdY
-
metCoeffLag
(
i
,
0
);
metCoeffLag
(
i
,
3
)
=
dvxdZ
-
metCoeffLag
(
i
,
0
);
const
double
fact
=
std
::
sqrt
(
2
);
metCoeffLag
(
i
,
4
)
=
fact
*
(
dxdX
*
dxdY
+
dydX
*
dydY
+
dzdX
*
dzdY
);
metCoeffLag
(
i
,
5
)
=
fact
*
(
dxdZ
*
dxdY
+
dydZ
*
dydY
+
dzdZ
*
dzdY
);
metCoeffLag
(
i
,
6
)
=
fact
*
(
dxdX
*
dxdZ
+
dydX
*
dydZ
+
dzdX
*
dzdZ
);
}
}
break
;
}
_fillCoeff
(
_gradients
,
nodes
,
metCoeffLag
);
fullMatrix
<
double
>
*
metCoeff
;
metCoeff
=
new
fullMatrix
<
double
>
(
nSampPnts
,
metCoeffLag
.
size2
());
_bezier
->
matrixLag2Bez
.
mult
(
metCoeffLag
,
*
metCoeff
);
...
...
@@ -641,47 +534,14 @@ void MetricBasis::_computeRmin(
double
&
RminLag
,
double
&
RminBez
,
int
depth
,
bool
debug
)
const
{
RminLag
=
1.
;
for
(
int
i
=
0
;
i
<
_bezier
->
getNumLagCoeff
();
++
i
)
{
if
(
jac
(
i
)
<=
0
)
{
RminLag
=
0
;
RminBez
=
0
;
return
;
}
double
q
=
coeff
(
i
,
0
);
double
p
=
0
;
for
(
int
k
=
1
;
k
<
7
;
++
k
)
{
p
+=
pow_int
(
coeff
(
i
,
k
),
2
);
}
p
=
std
::
sqrt
(
p
/
6
);
const
double
a
=
q
/
p
;
if
(
a
>
1e4
)
{
RminLag
=
std
::
min
(
RminLag
,
std
::
sqrt
((
a
-
std
::
sqrt
(
3
))
/
(
a
+
std
::
sqrt
(
3
))));
}
else
{
const
double
x
=
.5
*
(
jac
(
i
)
/
p
/
p
*
jac
(
i
)
/
p
-
a
*
a
*
a
+
3
*
a
);
double
tmpR
;
if
(
x
>=
1
)
tmpR
=
(
a
-
1
)
/
(
a
+
2
);
else
if
(
x
<=
-
1
)
tmpR
=
(
a
-
2
)
/
(
a
+
1
);
else
{
const
double
phi
=
std
::
acos
(
x
)
/
3
;
tmpR
=
(
a
+
2
*
std
::
cos
(
phi
+
2
*
M_PI
/
3
))
/
(
a
+
2
*
std
::
cos
(
phi
));
}
if
(
tmpR
<=
0
)
{
RminLag
=
0
;
RminLag
=
_computeMinlagR
(
jac
,
coeff
,
_bezier
->
getNumLagCoeff
());
if
(
RminLag
==
0
)
{
RminBez
=
0
;
return
;
}
else
RminLag
=
std
::
min
(
RminLag
,
std
::
sqrt
(
tmpR
));
}
}
double
minK
;
_min
J2P3
(
coeff
,
jac
,
minK
);
_min
K
(
coeff
,
jac
,
minK
);
if
(
minK
<
1e-10
)
{
RminBez
=
0
;
return
;
...
...
@@ -810,23 +670,7 @@ void MetricBasis::_computeRmax(
RmaxLag
=
std
::
max
(
RmaxLag
,
std
::
sqrt
((
a
-
std
::
sqrt
(
3
))
/
(
a
+
std
::
sqrt
(
3
))));
}
else
{
const
double
x
=
.5
*
(
jac
(
i
)
/
p
/
p
*
jac
(
i
)
/
p
-
a
*
a
*
a
+
3
*
a
);
double
tmpR
;
if
(
x
>=
1
)
tmpR
=
(
a
-
1
)
/
(
a
+
2
);
else
if
(
x
<=
-
1
)
tmpR
=
(
a
-
2
)
/
(
a
+
1
);
else
{
const
double
phi
=
std
::
acos
(
x
)
/
3
;
tmpR
=
(
a
+
2
*
std
::
cos
(
phi
+
2
*
M_PI
/
3
))
/
(
a
+
2
*
std
::
cos
(
phi
));
}
if
(
tmpR
<
0
)
{
if
(
tmpR
<
-
1e-7
)
Msg
::
Fatal
(
"3 s normal ? %g (%g, %g, %g) or (%g, %g)"
,
tmpR
,
p
/
std
::
sqrt
(
6
),
q
,
jac
(
i
)
*
jac
(
i
),
q
/
p
*
std
::
sqrt
(
6
),
jac
(
i
)
*
jac
(
i
)
/
p
/
p
/
p
*
6
*
std
::
sqrt
(
6
));
else
tmpR
=
0
;
}
const
double
tmpR
=
_Rsafe
(
a
,
jac
(
i
)
/
p
/
p
*
jac
(
i
)
/
p
);
RmaxLag
=
std
::
max
(
RmaxLag
,
std
::
sqrt
(
tmpR
));
}
}
...
...
@@ -932,10 +776,27 @@ void MetricBasis::_getMetricData(MElement *el, MetricData *&md) const
// Metric coefficients
fullMatrix
<
double
>
metCoeffLag
;
_fillCoeff
(
_gradients
,
nodes
,
metCoeffLag
);
fullMatrix
<
double
>
*
metCoeff
;
metCoeff
=
new
fullMatrix
<
double
>
(
nSampPnts
,
metCoeffLag
.
size2
());
_bezier
->
matrixLag2Bez
.
mult
(
metCoeffLag
,
*
metCoeff
);
// Jacobian coefficients
fullVector
<
double
>
jacLag
(
_jacobian
->
getNumJacNodes
());
fullVector
<
double
>
*
jac
=
new
fullVector
<
double
>
(
_jacobian
->
getNumJacNodes
());
_jacobian
->
getSignedJacobian
(
nodes
,
jacLag
);
_jacobian
->
lag2Bez
(
jacLag
,
*
jac
);
switch
(
el
->
getDim
())
{
md
=
new
MetricData
(
metCoeff
,
jac
,
-
1
,
0
,
0
);
}
void
MetricBasis
::
_fillCoeff
(
const
GradientBasis
*
gradients
,
fullMatrix
<
double
>
&
nodes
,
fullMatrix
<
double
>
&
coeff
)
{
const
int
nSampPnts
=
gradients
->
getNumSamplingPoints
();
switch
(
nodes
.
size2
())
{
case
0
:
md
=
NULL
;
return
;
case
1
:
case
2
:
...
...
@@ -945,9 +806,9 @@ void MetricBasis::_getMetricData(MElement *el, MetricData *&md) const
case
3
:
{
fullMatrix
<
double
>
dxyzdX
(
nSampPnts
,
3
),
dxyzdY
(
nSampPnts
,
3
),
dxyzdZ
(
nSampPnts
,
3
);
_
gradients
->
getGradientsFromNodes
(
nodes
,
&
dxyzdX
,
&
dxyzdY
,
&
dxyzdZ
);
gradients
->
getGradientsFromNodes
(
nodes
,
&
dxyzdX
,
&
dxyzdY
,
&
dxyzdZ
);
metC
oeff
Lag
.
resize
(
nSampPnts
,
7
);
c
oeff
.
resize
(
nSampPnts
,
7
);
for
(
int
i
=
0
;
i
<
nSampPnts
;
i
++
)
{
const
double
&
dxdX
=
dxyzdX
(
i
,
0
),
&
dydX
=
dxyzdX
(
i
,
1
),
&
dzdX
=
dxyzdX
(
i
,
2
);
const
double
&
dxdY
=
dxyzdY
(
i
,
0
),
&
dydY
=
dxyzdY
(
i
,
1
),
&
dzdY
=
dxyzdY
(
i
,
2
);
...
...
@@ -955,30 +816,46 @@ void MetricBasis::_getMetricData(MElement *el, MetricData *&md) const
const
double
dvxdX
=
dxdX
*
dxdX
+
dydX
*
dydX
+
dzdX
*
dzdX
;
const
double
dvxdY
=
dxdY
*
dxdY
+
dydY
*
dydY
+
dzdY
*
dzdY
;
const
double
dvxdZ
=
dxdZ
*
dxdZ
+
dydZ
*
dydZ
+
dzdZ
*
dzdZ
;
metC
oeff
Lag
(
i
,
0
)
=
(
dvxdX
+
dvxdY
+
dvxdZ
)
/
3
;
metC
oeff
Lag
(
i
,
1
)
=
dvxdX
-
metC
oeff
Lag
(
i
,
0
);
metC
oeff
Lag
(
i
,
2
)
=
dvxdY
-
metC
oeff
Lag
(
i
,
0
);
metC
oeff
Lag
(
i
,
3
)
=
dvxdZ
-
metC
oeff
Lag
(
i
,
0
);
c
oeff
(
i
,
0
)
=
(
dvxdX
+
dvxdY
+
dvxdZ
)
/
3
;
c
oeff
(
i
,
1
)
=
dvxdX
-
c
oeff
(
i
,
0
);
c
oeff
(
i
,
2
)
=
dvxdY
-
c
oeff
(
i
,
0
);
c
oeff
(
i
,
3
)
=
dvxdZ
-
c
oeff
(
i
,
0
);
const
double
fact
=
std
::
sqrt
(
2
);
metC
oeff
Lag
(
i
,
4
)
=
fact
*
(
dxdX
*
dxdY
+
dydX
*
dydY
+
dzdX
*
dzdY
);
metC
oeff
Lag
(
i
,
5
)
=
fact
*
(
dxdZ
*
dxdY
+
dydZ
*
dydY
+
dzdZ
*
dzdY
);
metC
oeff
Lag
(
i
,
6
)
=
fact
*
(
dxdX
*
dxdZ
+
dydX
*
dydZ
+
dzdX
*
dzdZ
);
c
oeff
(
i
,
4
)
=
fact
*
(
dxdX
*
dxdY
+
dydX
*
dydY
+
dzdX
*
dzdY
);
c
oeff
(
i
,
5
)
=
fact
*
(
dxdZ
*
dxdY
+
dydZ
*
dydY
+
dzdZ
*
dzdY
);
c
oeff
(
i
,
6
)
=
fact
*
(
dxdX
*
dxdZ
+
dydX
*
dydZ
+
dzdX
*
dzdZ
);
}
}
break
;
}
}
fullMatrix
<
double
>
*
metCoeff
;
metCoeff
=
new
fullMatrix
<
double
>
(
nSampPnts
,
metCoeffLag
.
size2
());
_bezier
->
matrixLag2Bez
.
mult
(
metCoeffLag
,
*
metCoeff
);
// Jacobian coefficients
fullVector
<
double
>
jacLag
(
_jacobian
->
getNumJacNodes
());
fullVector
<
double
>
*
jac
=
new
fullVector
<
double
>
(
_jacobian
->
getNumJacNodes
());
_jacobian
->
getSignedJacobian
(
nodes
,
jacLag
);
_jacobian
->
lag2Bez
(
jacLag
,
*
jac
);
md
=
new
MetricData
(
metCoeff
,
jac
,
-
1
,
0
,
0
);
double
MetricBasis
::
_computeMinlagR
(
const
fullVector
<
double
>
&
jac
,
const
fullMatrix
<
double
>
&
coeff
,
int
num
)
{
double
Rmin
=
1.
;
for
(
int
i
=
0
;
i
<
num
;
++
i
)
{
if
(
jac
(
i
)
<=
0.
)
{
return
0
;
}
else
{
double
q
=
coeff
(
i
,
0
);
double
p
=
0
;
for
(
int
k
=
1
;
k
<
7
;
++
k
)
{
p
+=
pow_int
(
coeff
(
i
,
k
),
2
);
}
p
=
std
::
sqrt
(
p
/
6
);
const
double
a
=
q
/
p
;
if
(
a
>
1e4
)
{
Rmin
=
std
::
min
(
Rmin
,
std
::
sqrt
((
a
-
std
::
sqrt
(
3
))
/
(
a
+
std
::
sqrt
(
3
))));
}
else
{
const
double
tmpR
=
_Rsafe
(
a
,
jac
(
i
)
/
p
/
p
*
jac
(
i
)
/
p
);
Rmin
=
std
::
min
(
Rmin
,
std
::
sqrt
(
tmpR
));
}
}
}
return
Rmin
;
}
void
MetricBasis
::
_minMaxA
(
...
...
@@ -1012,7 +889,7 @@ void MetricBasis::_minMaxA(
max
=
std
::
sqrt
(
max
);
}
void
MetricBasis
::
_min
J2P3
(
const
fullMatrix
<
double
>
&
coeff
,
void
MetricBasis
::
_min
K
(
const
fullMatrix
<
double
>
&
coeff
,
const
fullVector
<
double
>
&
jac
,
double
&
min
)
const
{
fullVector
<
double
>
r
(
coeff
.
size1
());
...
...
This diff is collapsed.
Click to expand it.
Numeric/MetricBasis.h
+
24
−
4
View file @
79c15ab3
...
...
@@ -78,9 +78,13 @@ private:
void
_getMetricData
(
MElement
*
,
MetricData
*&
)
const
;
double
_subdivideForRmin
(
MetricData
*
,
double
RminLag
,
double
tol
)
const
;
static
void
_fillCoeff
(
const
GradientBasis
*
,
fullMatrix
<
double
>
&
nodes
,
fullMatrix
<
double
>
&
coeff
);
static
double
_computeMinlagR
(
const
fullVector
<
double
>
&
jac
,
const
fullMatrix
<
double
>
&
coeff
,
int
num
);
void
_minMaxA
(
const
fullMatrix
<
double
>&
,
double
&
min
,
double
&
max
)
const
;
void
_min
J2P3
(
const
fullMatrix
<
double
>&
,
const
fullVector
<
double
>&
,
double
&
min
)
const
;
void
_min
K
(
const
fullMatrix
<
double
>&
,
const
fullVector
<
double
>&
,
double
&
min
)
const
;
void
_maxAstKpos
(
const
fullMatrix
<
double
>&
,
const
fullVector
<
double
>&
,
double
minK
,
double
beta
,
double
&
maxa
)
const
;
void
_maxAstKneg
(
const
fullMatrix
<
double
>&
,
const
fullVector
<
double
>&
,
...
...
@@ -90,10 +94,26 @@ private:
void
_maxKstAsharp
(
const
fullMatrix
<
double
>&
,
const
fullVector
<
double
>&
,
double
mina
,
double
beta
,
double
&
maxK
)
const
;
double
_Rsafe
(
double
a
,
double
K
)
const
{
static
double
_Rsafe
(
double
a
,
double
K
)
{
const
double
x
=
.5
*
(
K
-
a
*
a
*
a
+
3
*
a
);
if
(
x
>
1
+
1e-13
||
x
<
-
1
-
1e-13
)
{
Msg
::
Warning
(
"x = %g (|1+%g|)"
,
x
,
std
::
abs
(
x
)
-
1
);
}
double
ans
;
if
(
x
>=
1
)
ans
=
(
a
-
1
)
/
(
a
+
2
);
else
if
(
x
<=
-
1
)
ans
=
(
a
-
2
)
/
(
a
+
1
);
else
{
const
double
phi
=
std
::
acos
(
x
)
/
3
;
return
(
a
+
2
*
std
::
cos
(
phi
+
2
*
M_PI
/
3
))
/
(
a
+
2
*
std
::
cos
(
phi
));
ans
=
(
a
+
2
*
std
::
cos
(
phi
+
2
*
M_PI
/
3
))
/
(
a
+
2
*
std
::
cos
(
phi
));
}
if
(
ans
<
0
||
ans
>
1
)
{
Msg
::
Warning
(
"R = %g"
,
ans
);
if
(
ans
<
0
)
return
0
;
else
return
1
;
}
return
ans
;
}
private
:
...
...
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