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small improvement in smoothing2

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Joachim Schoeberl 2013-02-03 14:37:35 +00:00
parent 3d7092e8b3
commit 5db60383e5
1 changed files with 67 additions and 57 deletions
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116
libsrc/meshing/smoothing2.cpp
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@ -9,6 +9,7 @@ namespace netgen
static const double c_trig = 0.14433756; // sqrt(3.0) / 12 static const double c_trig = 0.14433756; // sqrt(3.0) / 12
static const double c_trig4 = 0.57735026; // sqrt(3.0) / 3 static const double c_trig4 = 0.57735026; // sqrt(3.0) / 3
inline double CalcTriangleBadness (double x2, double x3, double y3, inline double CalcTriangleBadness (double x2, double x3, double y3,
double metricweight, double h) double metricweight, double h)
{ {
@ -33,7 +34,6 @@ namespace netgen
return badness; return badness;
} }
inline void CalcTriangleBadness (double x2, double x3, double y3, double metricweight, inline void CalcTriangleBadness (double x2, double x3, double y3, double metricweight,
double h, double & badness, double & g1x, double & g1y) double h, double & badness, double & g1x, double & g1y)
{ {
@ -80,28 +80,21 @@ namespace netgen
double CalcTriangleBadness (const Point<3> & p1,
const Point<3> & p2,
double CalcTriangleBadness (const Point3d & p1, const Point<3> & p3,
const Point3d & p2,
const Point3d & p3,
double metricweight, double metricweight,
double h) double h)
{ {
// badness = sqrt(3.0) / 12 * (\sum l_i^2) / area - 1 // badness = sqrt(3.0) / 12 * (\sum l_i^2) / area - 1
// p1 = (0, 0), p2 = (x2, 0), p3 = (x3, y3); // p1 = (0, 0), p2 = (x2, 0), p3 = (x3, y3);
Vec3d e12(p1,p2); Vec<3> e12 = p2-p1;
Vec3d e13(p1,p3); Vec<3> e13 = p3-p1;
Vec3d e23(p2,p3); Vec<3> e23 = p3-p2;
double l12_2 = e12.Length2(); double cir_2 = e12.Length2() + e13.Length2() + e23.Length2();
double l13_2 = e13.Length2(); double area = 0.5 * Cross (e12, e13).Length();
double l23_2 = e23.Length2();
double cir_2 = l12_2 + l13_2 + l23_2;
Vec3d area_v = Cross (e12, e13);
double area = 0.5 * area_v.Length();
if (area <= 1e-24 * cir_2) if (area <= 1e-24 * cir_2)
return 1e10; return 1e10;
@ -112,8 +105,8 @@ namespace netgen
{ {
// area = (x2 - x1) * (y3 - y1) - (x3 - x1) * (y2 - y1); // area = (x2 - x1) * (y3 - y1) - (x3 - x1) * (y2 - y1);
// add: metricweight * (area / h^2 + h^2 / area - 2) // add: metricweight * (area / h^2 + h^2 / area - 2)
area *= 2; // copy bug
const double areahh = area / (h * h); double areahh = area / (h * h);
badness += metricweight * (areahh + 1 / areahh - 2); badness += metricweight * (areahh + 1 / areahh - 2);
} }
@ -121,18 +114,20 @@ namespace netgen
} }
double CalcTriangleBadness (const Point3d & p1,
const Point3d & p2,
const Point3d & p3, double CalcTriangleBadness (const Point<3> & p1,
const Vec3d & n, const Point<3> & p2,
const Point<3> & p3,
const Vec<3> & n,
double metricweight, double metricweight,
double h) double h)
{ {
Vec3d v1 (p1, p2); Vec<3> v1 = p2-p1;
Vec3d v2 (p1, p3); Vec<3> v2 = p3-p1;
Vec3d e1 = v1; Vec<3> e1 = v1;
Vec3d e2 = v2; Vec<3> e2 = v2;
e1 -= (e1 * n) * n; e1 -= (e1 * n) * n;
e1 /= (e1.Length() + 1e-24); e1 /= (e1.Length() + 1e-24);
@ -143,7 +138,6 @@ namespace netgen
} }
class Opti2dLocalData class Opti2dLocalData
{ {
public: public:
@ -154,6 +148,7 @@ namespace netgen
Array<SurfaceElementIndex> locelements; Array<SurfaceElementIndex> locelements;
Array<int> locrots; Array<int> locrots;
Array<double> lochs; Array<double> lochs;
Array<Point<3> > loc_pnts2, loc_pnts3;
// static int locerr2; // static int locerr2;
double locmetricweight; double locmetricweight;
double loch; double loch;
@ -178,12 +173,16 @@ namespace netgen
{ } ; { } ;
virtual double FuncGrad (const Vector & x, Vector & g) const; virtual double FuncGrad (const Vector & x, Vector & g) const;
virtual double FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const; virtual double FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const;
virtual double FuncDeriv2 (const Vector & x, const Vector & dir, double & deriv) const;
virtual double Func (const Vector & x) const; virtual double Func (const Vector & x) const;
}; };
double Opti2SurfaceMinFunction :: double Opti2SurfaceMinFunction ::
Func (const Vector & x) const Func (const Vector & x) const
{ {
static int timer = NgProfiler::CreateTimer ("opti2surface - func");
NgProfiler::RegionTimer reg (timer);
Vector g(x.Size()); Vector g(x.Size());
return FuncGrad (x, g); return FuncGrad (x, g);
} }
@ -192,13 +191,14 @@ namespace netgen
double Opti2SurfaceMinFunction :: double Opti2SurfaceMinFunction ::
FuncGrad (const Vector & x, Vector & grad) const FuncGrad (const Vector & x, Vector & grad) const
{ {
// static int timer = NgProfiler::CreateTimer ("opti2surface - funcgrad");
// NgProfiler::RegionTimer reg (timer);
Vec<3> n, vgrad; Vec<3> n, vgrad;
Point<3> pp1; Point<3> pp1;
double g1x, g1y;
double badness, hbadness;
vgrad = 0; vgrad = 0;
badness = 0; double badness = 0;
ld.meshthis -> GetNormalVector (ld.surfi, ld.sp1, ld.gi1, n); ld.meshthis -> GetNormalVector (ld.surfi, ld.sp1, ld.gi1, n);
pp1 = ld.sp1 + x(0) * ld.t1 + x(1) * ld.t2; pp1 = ld.sp1 + x(0) * ld.t1 + x(1) * ld.t2;
@ -208,11 +208,10 @@ namespace netgen
for (int j = 0; j < ld.locelements.Size(); j++) for (int j = 0; j < ld.locelements.Size(); j++)
{ {
int roti = ld.locrots[j]; double g1x, g1y, hbadness;
const Element2d & bel = mesh[ld.locelements[j]];
Vec<3> e1 = mesh[bel.PNumMod(roti + 1)] - pp1; Vec<3> e1 = ld.loc_pnts2[j] - pp1;
Vec<3> e2 = mesh[bel.PNumMod(roti + 2)] - pp1; Vec<3> e2 = ld.loc_pnts3[j] - pp1;
if (ld.uselocalh) ld.loch = ld.lochs[j]; if (ld.uselocalh) ld.loch = ld.lochs[j];
@ -237,40 +236,48 @@ namespace netgen
} }
} }
vgrad -= (vgrad * n) * n; // vgrad -= (vgrad * n) * n;
grad(0) = vgrad * ld.t1; grad(0) = vgrad * ld.t1;
grad(1) = vgrad * ld.t2; grad(1) = vgrad * ld.t2;
return badness; return badness;
} }
double Opti2SurfaceMinFunction :: double Opti2SurfaceMinFunction ::
FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const
{ {
// for (int k = 0; k < 100; k++)
FuncDeriv2 (x, dir, deriv);
}
double Opti2SurfaceMinFunction ::
FuncDeriv2 (const Vector & x, const Vector & dir, double & deriv) const
{
// static int timer = NgProfiler::CreateTimer ("opti2surface - funcderiv");
// NgProfiler::RegionTimer reg (timer);
Vec<3> n, vgrad; Vec<3> n, vgrad;
Point<3> pp1; Point<3> pp1;
double g1x, g1y;
double badness, hbadness;
vgrad = 0; vgrad = 0;
badness = 0; double badness = 0;
ld.meshthis -> GetNormalVector (ld.surfi, ld.sp1, ld.gi1, n); ld.meshthis -> GetNormalVector (ld.surfi, ld.sp1, ld.gi1, n);
pp1 = ld.sp1 + x(0) * ld.t1 + x(1) * ld.t2; pp1 = ld.sp1 + x(0) * ld.t1 + x(1) * ld.t2;
for (int j = 0; j < ld.locelements.Size(); j++) for (int j = 0; j < ld.locelements.Size(); j++)
{ {
double g1x, g1y, hbadness;
/*
int roti = ld.locrots[j]; int roti = ld.locrots[j];
const Element2d & bel = mesh[ld.locelements[j]]; const Element2d & bel = mesh[ld.locelements[j]];
Vec<3> e1 = mesh[bel.PNumMod(roti + 1)] - pp1; Vec<3> e1 = mesh[bel.PNumMod(roti + 1)] - pp1;
Vec<3> e2 = mesh[bel.PNumMod(roti + 2)] - pp1; Vec<3> e2 = mesh[bel.PNumMod(roti + 2)] - pp1;
*/
Vec<3> e1 = ld.loc_pnts2[j] - pp1;
Vec<3> e2 = ld.loc_pnts3[j] - pp1;
if (ld.uselocalh) ld.loch = ld.lochs[j]; if (ld.uselocalh) ld.loch = ld.lochs[j];
double e1l = e1.Length(); double e1l = e1.Length();
@ -293,7 +300,7 @@ namespace netgen
} }
} }
vgrad -= (vgrad * n) * n; // vgrad -= (vgrad * n) * n;
deriv = dir(0) * (vgrad*ld.t1) + dir(1) * (vgrad*ld.t2); deriv = dir(0) * (vgrad*ld.t1) + dir(1) * (vgrad*ld.t2);
return badness; return badness;
@ -571,6 +578,7 @@ namespace netgen
static int timer = NgProfiler::CreateTimer ("MeshSmoothing 2D"); static int timer = NgProfiler::CreateTimer ("MeshSmoothing 2D");
static int timer1 = NgProfiler::CreateTimer ("MeshSmoothing 2D start"); static int timer1 = NgProfiler::CreateTimer ("MeshSmoothing 2D start");
static int timer2 = NgProfiler::CreateTimer ("MeshSmoothing 2D - BFGS");
NgProfiler::RegionTimer reg (timer); NgProfiler::RegionTimer reg (timer);
NgProfiler::StartTimer (timer1); NgProfiler::StartTimer (timer1);
@ -801,6 +809,8 @@ namespace netgen
ld.locelements.SetSize(0); ld.locelements.SetSize(0);
ld.locrots.SetSize (0); ld.locrots.SetSize (0);
ld.lochs.SetSize (0); ld.lochs.SetSize (0);
ld.loc_pnts2.SetSize (0);
ld.loc_pnts3.SetSize (0);
for (int j = 0; j < elementsonpoint[hi].Size(); j++) for (int j = 0; j < elementsonpoint[hi].Size(); j++)
{ {
@ -814,6 +824,8 @@ namespace netgen
if (bel.PNum(k) == pi) if (bel.PNum(k) == pi)
{ {
ld.locrots.Append (k); ld.locrots.Append (k);
ld.loc_pnts2.Append (mesh[bel.PNumMod(k + 1)]);
ld.loc_pnts3.Append (mesh[bel.PNumMod(k + 2)]);
break; break;
} }
@ -848,23 +860,21 @@ namespace netgen
} }
x = 0; x = 0;
par.typx = ld.lochs[0]; par.typx = 0.3*ld.lochs[0];
NgProfiler::StartTimer (timer2);
if (mixed) if (mixed)
{ {
// (*testout) << "vorher : " << surfminfj.Func (x) << endl;
BFGS (x, surfminfj, par, 1e-6); BFGS (x, surfminfj, par, 1e-6);
// (*testout) << "nachher: " << surfminfj.Func (x) << endl;
// (*testout) << "x = " << x << endl;
} }
else else
{ {
// (*testout) << "vorher : " << surfminf.Func (x) << endl;
BFGS (x, surfminf, par, 1e-6); BFGS (x, surfminf, par, 1e-6);
// (*testout) << "nachher: " << surfminf.Func (x) << endl;
// (*testout) << "x = " << x << endl;
} }
NgProfiler::StopTimer (timer2);
Point3d origp = mesh[pi]; Point3d origp = mesh[pi];
int loci = 1; int loci = 1;
double fact = 1; double fact = 1;