mirror of
https://github.com/NGSolve/netgen.git
synced 2024-12-27 06:10:34 +05:00
1800 lines
38 KiB
C++
1800 lines
38 KiB
C++
#include <mystdlib.h>
|
|
|
|
#include "meshing.hpp"
|
|
#ifdef SOLIDGEOM
|
|
#include <csg.hpp>
|
|
#endif
|
|
#include <opti.hpp>
|
|
#include <core/array.hpp>
|
|
#include <core/taskmanager.hpp>
|
|
|
|
|
|
namespace netgen
|
|
{
|
|
using namespace ngcore;
|
|
|
|
|
|
double MinFunctionSum :: Func (const Vector & x) const
|
|
{
|
|
double retval = 0;
|
|
for(int i=0; i<functions.Size(); i++)
|
|
retval += functions[i]->Func(x);
|
|
|
|
return retval;
|
|
}
|
|
|
|
void MinFunctionSum :: Grad (const Vector & x, Vector & g) const
|
|
{
|
|
g = 0.;
|
|
VectorMem<3> gi;
|
|
for(int i=0; i<functions.Size(); i++)
|
|
{
|
|
functions[i]->Grad(x,gi);
|
|
for(int j=0; j<g.Size(); j++)
|
|
g[j] += gi[j];
|
|
}
|
|
}
|
|
|
|
|
|
double MinFunctionSum :: FuncGrad (const Vector & x, Vector & g) const
|
|
{
|
|
double retval = 0;
|
|
g = 0.;
|
|
VectorMem<3> gi;
|
|
for(int i=0; i<functions.Size(); i++)
|
|
{
|
|
retval += functions[i]->FuncGrad(x,gi);
|
|
for(int j=0; j<g.Size(); j++)
|
|
g[j] += gi[j];
|
|
}
|
|
return retval;
|
|
}
|
|
|
|
double MinFunctionSum :: FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const
|
|
{
|
|
double retval = 0;
|
|
deriv = 0.;
|
|
double derivi;
|
|
for(int i=0; i<functions.Size(); i++)
|
|
{
|
|
retval += functions[i]->FuncDeriv(x,dir,derivi);
|
|
deriv += derivi;
|
|
}
|
|
return retval;
|
|
}
|
|
|
|
double MinFunctionSum :: GradStopping (const Vector & x) const
|
|
{
|
|
double minfs(0), mini;
|
|
for(int i=0; i<functions.Size(); i++)
|
|
{
|
|
mini = functions[i]->GradStopping(x);
|
|
if(i==0 || mini < minfs)
|
|
minfs = mini;
|
|
}
|
|
return minfs;
|
|
}
|
|
|
|
|
|
void MinFunctionSum :: AddFunction(MinFunction & fun)
|
|
{
|
|
functions.Append(&fun);
|
|
}
|
|
|
|
const MinFunction & MinFunctionSum :: Function(int i) const
|
|
{
|
|
return *functions[i];
|
|
}
|
|
MinFunction & MinFunctionSum :: Function(int i)
|
|
{
|
|
return *functions[i];
|
|
}
|
|
|
|
PointFunction1 :: PointFunction1 (Mesh::T_POINTS & apoints,
|
|
const NgArray<INDEX_3> & afaces,
|
|
const MeshingParameters & amp,
|
|
double ah)
|
|
: points(apoints), faces(afaces), mp(amp)
|
|
{
|
|
h = ah;
|
|
}
|
|
|
|
|
|
double PointFunction1 :: Func (const Vector & vp) const
|
|
{
|
|
double badness = 0;
|
|
Point<3> pp(vp(0), vp(1), vp(2));
|
|
|
|
for (int j = 0; j < faces.Size(); j++)
|
|
{
|
|
const INDEX_3 & el = faces[j];
|
|
|
|
double bad = CalcTetBadness (points[PointIndex (el.I1())],
|
|
points[PointIndex (el.I3())],
|
|
points[PointIndex (el.I2())],
|
|
pp, 0, mp);
|
|
badness += bad;
|
|
}
|
|
|
|
return badness;
|
|
}
|
|
|
|
|
|
double PointFunction1 ::
|
|
FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const
|
|
{
|
|
VectorMem<3> hx;
|
|
const double eps = 1e-6;
|
|
|
|
double dirlen = dir.L2Norm();
|
|
if (dirlen < 1e-14)
|
|
{
|
|
deriv = 0;
|
|
return Func(x);
|
|
}
|
|
|
|
hx.Set(1, x);
|
|
hx.Add(eps * h / dirlen, dir);
|
|
double fr = Func (hx);
|
|
hx.Set(1, x);
|
|
hx.Add(-eps * h / dirlen, dir);
|
|
double fl = Func (hx);
|
|
|
|
deriv = (fr - fl) / (2 * eps * h) * dirlen;
|
|
|
|
return Func(x);
|
|
}
|
|
|
|
|
|
double PointFunction1 :: FuncGrad (const Vector & x, Vector & g) const
|
|
{
|
|
VectorMem<3> hx;
|
|
double eps = 1e-6;
|
|
|
|
hx = x;
|
|
for (int i = 0; i < 3; i++)
|
|
{
|
|
hx(i) = x(i) + eps * h;
|
|
double fr = Func (hx);
|
|
hx(i) = x(i) - eps * h;
|
|
double fl = Func (hx);
|
|
hx(i) = x(i);
|
|
|
|
g(i) = (fr - fl) / (2 * eps * h);
|
|
}
|
|
|
|
return Func(x);
|
|
}
|
|
|
|
double PointFunction1 :: GradStopping (const Vector & x) const
|
|
{
|
|
double f = Func(x);
|
|
return 1e-8 * f * f;
|
|
}
|
|
|
|
|
|
/* Cheap Functional depending of inner point inside triangular surface */
|
|
|
|
// is it used ????
|
|
class CheapPointFunction1 : public MinFunction
|
|
{
|
|
Mesh::T_POINTS & points;
|
|
const NgArray<INDEX_3> & faces;
|
|
DenseMatrix m;
|
|
double h;
|
|
public:
|
|
CheapPointFunction1 (Mesh::T_POINTS & apoints,
|
|
const NgArray<INDEX_3> & afaces,
|
|
double ah);
|
|
|
|
virtual double Func (const Vector & x) const;
|
|
virtual double FuncGrad (const Vector & x, Vector & g) const;
|
|
};
|
|
|
|
CheapPointFunction1 :: CheapPointFunction1 (Mesh::T_POINTS & apoints,
|
|
const NgArray<INDEX_3> & afaces,
|
|
double ah)
|
|
: points(apoints), faces(afaces)
|
|
{
|
|
h = ah;
|
|
|
|
|
|
int nf = faces.Size();
|
|
|
|
m.SetSize (nf, 4);
|
|
|
|
for (int i = 1; i <= nf; i++)
|
|
{
|
|
const Point3d & p1 = points[PointIndex(faces.Get(i).I1())];
|
|
const Point3d & p2 = points[PointIndex(faces.Get(i).I2())];
|
|
const Point3d & p3 = points[PointIndex(faces.Get(i).I3())];
|
|
Vec3d v1 (p1, p2);
|
|
Vec3d v2 (p1, p3);
|
|
Vec3d n;
|
|
Cross (v1, v2, n);
|
|
n /= n.Length();
|
|
|
|
m.Elem(i, 1) = n.X();
|
|
m.Elem(i, 2) = n.Y();
|
|
m.Elem(i, 3) = n.Z();
|
|
m.Elem(i, 4) = - (n.X() * p1.X() + n.Y() * p1.Y() + n.Z() * p1.Z());
|
|
}
|
|
}
|
|
|
|
double CheapPointFunction1 :: Func (const Vector & vp) const
|
|
{
|
|
|
|
/*
|
|
int j;
|
|
double badness = 0;
|
|
Point3d pp(vp.Get(1), vp.Get(2), vp.Get(3));
|
|
|
|
for (j = 1; j <= faces.Size(); j++)
|
|
{
|
|
const INDEX_3 & el = faces.Get(j);
|
|
|
|
double bad = CalcTetBadness (points.Get(el.I1()),
|
|
points.Get(el.I3()),
|
|
points.Get(el.I2()),
|
|
pp, 0);
|
|
badness += bad;
|
|
}
|
|
*/
|
|
|
|
int i;
|
|
double badness = 0;
|
|
VectorMem<4> hv;
|
|
Vector res(m.Height());
|
|
|
|
for (i = 0;i < 3; i++)
|
|
hv(i) = vp(i);
|
|
hv(3) = 1;
|
|
m.Mult (hv, res);
|
|
|
|
for (i = 1; i <= res.Size(); i++)
|
|
{
|
|
if (res(i-1) < 1e-10)
|
|
badness += 1e24;
|
|
else
|
|
badness += 1 / res(i-1);
|
|
}
|
|
|
|
return badness;
|
|
}
|
|
|
|
|
|
double CheapPointFunction1 :: FuncGrad (const Vector & x, Vector & g) const
|
|
{
|
|
VectorMem<3> hx;
|
|
double eps = 1e-6;
|
|
|
|
hx = x;
|
|
for (int i = 0; i < 3; i++)
|
|
{
|
|
hx(i) = x(i) + eps * h;
|
|
double fr = Func (hx);
|
|
hx(i) = x(i) - eps * h;
|
|
double fl = Func (hx);
|
|
hx(i) = x(i);
|
|
|
|
g(i) = (fr - fl) / (2 * eps * h);
|
|
}
|
|
|
|
return Func(x);
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* ************* PointFunction **************************** */
|
|
|
|
|
|
class PointFunction
|
|
{
|
|
public:
|
|
Mesh::T_POINTS & points;
|
|
const Array<Element, ElementIndex> & elements;
|
|
Table<ElementIndex, PointIndex> &elementsonpoint;
|
|
bool own_elementsonpoint;
|
|
const MeshingParameters & mp;
|
|
PointIndex actpind;
|
|
double h;
|
|
|
|
public:
|
|
PointFunction (Mesh & mesh, const MeshingParameters & amp);
|
|
PointFunction (const PointFunction & pf);
|
|
virtual ~PointFunction () { if(own_elementsonpoint) delete &elementsonpoint; }
|
|
virtual void SetPointIndex (PointIndex aactpind);
|
|
void SetLocalH (double ah) { h = ah; }
|
|
double GetLocalH () const { return h; }
|
|
const Table<ElementIndex, PointIndex> & GetPointToElementTable() { return elementsonpoint; };
|
|
virtual double PointFunctionValue (const Point<3> & pp) const;
|
|
virtual double PointFunctionValueGrad (const Point<3> & pp, Vec<3> & grad) const;
|
|
virtual double PointFunctionValueDeriv (const Point<3> & pp, const Vec<3> & dir, double & deriv) const;
|
|
|
|
int MovePointToInner ();
|
|
};
|
|
|
|
|
|
PointFunction :: PointFunction (const PointFunction & pf)
|
|
: points(pf.points), elements(pf.elements), elementsonpoint(pf.elementsonpoint), own_elementsonpoint(false), mp(pf.mp)
|
|
{ }
|
|
|
|
PointFunction :: PointFunction (Mesh & mesh, const MeshingParameters & amp)
|
|
: points(mesh.Points()), elements(mesh.VolumeElements()), elementsonpoint(* new Table<ElementIndex,PointIndex>()), own_elementsonpoint(true), mp(amp)
|
|
{
|
|
static Timer tim("PointFunction - build elementsonpoint table"); RegionTimer reg(tim);
|
|
BitArray free_points(points.Size()+PointIndex::BASE);
|
|
free_points.Clear();
|
|
|
|
ParallelForRange(elements.Range(), [&] (auto myrange)
|
|
{
|
|
for (ElementIndex eli : myrange)
|
|
{
|
|
const auto & el = elements[eli];
|
|
if(el.Flags().fixed || el.NP()!=4 || (mp.only3D_domain_nr && mp.only3D_domain_nr != el.GetIndex()) )
|
|
for (auto pi : el.PNums())
|
|
if(free_points[pi])
|
|
free_points.SetBitAtomic(pi);
|
|
}
|
|
});
|
|
free_points.Invert();
|
|
elementsonpoint = mesh.CreatePoint2ElementTable(free_points, mp.only3D_domain_nr);
|
|
}
|
|
|
|
void PointFunction :: SetPointIndex (PointIndex aactpind)
|
|
{
|
|
actpind = aactpind;
|
|
}
|
|
|
|
double PointFunction :: PointFunctionValue (const Point<3> & pp) const
|
|
{
|
|
double badness;
|
|
Point<3> hp;
|
|
|
|
badness = 0;
|
|
|
|
hp = points[actpind];
|
|
points[actpind] = Point<3> (pp);
|
|
|
|
for (auto ei : elementsonpoint[actpind])
|
|
{
|
|
const Element & el = elements[ei];
|
|
badness += CalcTetBadness (points[el[0]], points[el[1]],
|
|
points[el[2]], points[el[3]], -1, mp);
|
|
}
|
|
|
|
points[actpind] = Point<3> (hp);
|
|
return badness;
|
|
}
|
|
|
|
|
|
double PointFunction :: PointFunctionValueGrad (const Point<3> & pp, Vec<3> & grad) const
|
|
{
|
|
double f = 0;
|
|
|
|
Point<3> hp = points[actpind];
|
|
Vec<3> vgradi, vgrad(0,0,0);
|
|
points[actpind] = Point<3> (pp);
|
|
|
|
for (auto ei : elementsonpoint[actpind])
|
|
{
|
|
const Element & el = elements[ei];
|
|
for (int k = 0; k < 4; k++)
|
|
if (el[k] == actpind)
|
|
{
|
|
f += CalcTetBadnessGrad (points[el[0]], points[el[1]],
|
|
points[el[2]], points[el[3]],
|
|
-1, k+1, vgradi, mp);
|
|
|
|
vgrad += vgradi;
|
|
}
|
|
}
|
|
|
|
points[actpind] = Point<3> (hp);
|
|
|
|
grad = vgrad;
|
|
return f;
|
|
}
|
|
|
|
|
|
double PointFunction :: PointFunctionValueDeriv (const Point<3> & pp, const Vec<3> & dir,
|
|
double & deriv) const
|
|
{
|
|
Vec<3> vgradi, vgrad(0,0,0);
|
|
|
|
Point<3> hp = points[actpind];
|
|
points[actpind] = pp;
|
|
double f = 0;
|
|
|
|
for (auto ei : elementsonpoint[actpind])
|
|
{
|
|
const Element & el = elements[ei];
|
|
|
|
for (int k = 1; k <= 4; k++)
|
|
if (el.PNum(k) == actpind)
|
|
{
|
|
f += CalcTetBadnessGrad (points[el.PNum(1)],
|
|
points[el.PNum(2)],
|
|
points[el.PNum(3)],
|
|
points[el.PNum(4)], -1, k, vgradi, mp);
|
|
|
|
vgrad += vgradi;
|
|
}
|
|
}
|
|
|
|
points[actpind] = Point<3> (hp);
|
|
deriv = dir * vgrad;
|
|
return f;
|
|
}
|
|
|
|
int PointFunction :: MovePointToInner ()
|
|
{
|
|
// try point movement
|
|
NgArray<Element2d> faces;
|
|
|
|
for (auto ei : elementsonpoint[actpind])
|
|
{
|
|
const Element & el = elements[ei];
|
|
|
|
for (int k = 1; k <= 4; k++)
|
|
if (el.PNum(k) == actpind)
|
|
{
|
|
Element2d face(TRIG);
|
|
el.GetFace (k, face);
|
|
Swap (face.PNum(2), face.PNum(3));
|
|
faces.Append (face);
|
|
}
|
|
}
|
|
|
|
Point3d hp;
|
|
int hi = FindInnerPoint (points, faces, hp);
|
|
if (hi)
|
|
{
|
|
// cout << "inner point found" << endl;
|
|
points[actpind] = Point<3> (hp);
|
|
}
|
|
else
|
|
;
|
|
// cout << "no inner point found" << endl;
|
|
|
|
/*
|
|
Point3d hp2;
|
|
int hi2 = FindInnerPoint (points, faces, hp2);
|
|
if (hi2)
|
|
{
|
|
cout << "new: inner point found" << endl;
|
|
}
|
|
else
|
|
cout << "new: no inner point found" << endl;
|
|
|
|
(*testout) << "hi(orig) = " << hi << ", hi(new) = " << hi2;
|
|
if (hi != hi2) (*testout) << "hi different" << endl;
|
|
*/
|
|
|
|
return hi;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
class CheapPointFunction : public PointFunction
|
|
{
|
|
DenseMatrix m;
|
|
public:
|
|
CheapPointFunction (Mesh & mesh, const MeshingParameters & amp);
|
|
virtual void SetPointIndex (PointIndex aactpind);
|
|
virtual double PointFunctionValue (const Point<3> & pp) const;
|
|
virtual double PointFunctionValueGrad (const Point<3> & pp, Vec<3> & grad) const;
|
|
};
|
|
|
|
|
|
CheapPointFunction :: CheapPointFunction (Mesh & mesh, const MeshingParameters & amp)
|
|
: PointFunction (mesh, amp)
|
|
{
|
|
;
|
|
}
|
|
|
|
|
|
void CheapPointFunction :: SetPointIndex (PointIndex aactpind)
|
|
{
|
|
actpind = aactpind;
|
|
|
|
int ne = elementsonpoint[actpind].Size();
|
|
int i, j;
|
|
PointIndex pi1, pi2, pi3;
|
|
|
|
m.SetSize (ne, 4);
|
|
|
|
for (i = 0; i < ne; i++)
|
|
{
|
|
pi1 = 0;
|
|
pi2 = 0;
|
|
pi3 = 0;
|
|
|
|
const Element & el = elements[elementsonpoint[actpind][i]];
|
|
for (j = 1; j <= 4; j++)
|
|
if (el.PNum(j) != actpind)
|
|
{
|
|
pi3 = pi2;
|
|
pi2 = pi1;
|
|
pi1 = el.PNum(j);
|
|
}
|
|
|
|
const Point3d & p1 = points[pi1];
|
|
Vec3d v1 (p1, points[pi2]);
|
|
Vec3d v2 (p1, points[pi3]);
|
|
Vec3d n;
|
|
Cross (v1, v2, n);
|
|
n /= n.Length();
|
|
|
|
Vec3d v (p1, points[actpind]);
|
|
double c = v * n;
|
|
|
|
if (c < 0)
|
|
n *= -1;
|
|
|
|
// n is inner normal
|
|
|
|
m.Elem(i+1, 1) = n.X();
|
|
m.Elem(i+1, 2) = n.Y();
|
|
m.Elem(i+1, 3) = n.Z();
|
|
m.Elem(i+1, 4) = - (n.X() * p1.X() + n.Y() * p1.Y() + n.Z() * p1.Z());
|
|
}
|
|
}
|
|
|
|
double CheapPointFunction :: PointFunctionValue (const Point<3> & pp) const
|
|
{
|
|
VectorMem<4> p4;
|
|
Vector di;
|
|
int n = m.Height();
|
|
|
|
p4(0) = pp(0);
|
|
p4(1) = pp(1);
|
|
p4(2) = pp(2);
|
|
p4(3) = 1;
|
|
|
|
di.SetSize (n);
|
|
m.Mult (p4, di);
|
|
|
|
double sum = 0;
|
|
for (int i = 0; i < n; i++)
|
|
{
|
|
if (di(i) > 0)
|
|
sum += 1 / di(i);
|
|
else
|
|
return 1e16;
|
|
}
|
|
return sum;
|
|
}
|
|
|
|
|
|
|
|
|
|
double CheapPointFunction :: PointFunctionValueGrad (const Point<3> & pp, Vec<3> & grad) const
|
|
{
|
|
VectorMem<4> p4;
|
|
Vector di;
|
|
|
|
int n = m.Height();
|
|
|
|
p4(0) = pp(0);
|
|
p4(1) = pp(1);
|
|
p4(2) = pp(2);
|
|
p4(3) = 1;
|
|
|
|
di.SetSize (n);
|
|
m.Mult (p4, di);
|
|
|
|
double sum = 0;
|
|
grad = 0;
|
|
for (int i = 0; i < n; i++)
|
|
{
|
|
if (di(i) > 0)
|
|
{
|
|
double idi = 1 / di(i);
|
|
sum += idi;
|
|
grad(0) -= idi * idi * m(i, 0);
|
|
grad(1) -= idi * idi * m(i, 1);
|
|
grad(2) -= idi * idi * m(i, 2);
|
|
}
|
|
else
|
|
{
|
|
return 1e16;
|
|
}
|
|
}
|
|
return sum;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
class Opti3FreeMinFunction : public MinFunction
|
|
{
|
|
const PointFunction & pf;
|
|
Point<3> sp1;
|
|
|
|
public:
|
|
Opti3FreeMinFunction (const PointFunction & apf);
|
|
void SetPoint (const Point<3> & asp1) { sp1 = asp1; }
|
|
virtual double Func (const Vector & x) const;
|
|
virtual double FuncGrad (const Vector & x, Vector & g) const;
|
|
virtual double FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const;
|
|
virtual double GradStopping (const Vector & x) const;
|
|
virtual void ApproximateHesse (const Vector & x,
|
|
DenseMatrix & hesse) const;
|
|
};
|
|
|
|
Opti3FreeMinFunction :: Opti3FreeMinFunction (const PointFunction & apf)
|
|
: pf(apf)
|
|
{
|
|
;
|
|
}
|
|
|
|
double Opti3FreeMinFunction :: Func (const Vector & x) const
|
|
{
|
|
Point<3> pp;
|
|
for (int j = 0; j < 3; j++)
|
|
pp(j) = sp1(j) + x(j);
|
|
return pf.PointFunctionValue (pp);
|
|
}
|
|
|
|
double Opti3FreeMinFunction :: FuncGrad (const Vector & x, Vector & grad) const
|
|
{
|
|
Vec<3> vgrad;
|
|
Point<3> pp;
|
|
|
|
for (int j = 0; j < 3; j++)
|
|
pp(j) = sp1(j) + x(j);
|
|
|
|
double val = pf.PointFunctionValueGrad (pp, vgrad);
|
|
|
|
for (int j = 0; j < 3; j++)
|
|
grad(j) = vgrad(j);
|
|
|
|
return val;
|
|
}
|
|
|
|
double Opti3FreeMinFunction :: FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const
|
|
{
|
|
Point<3> pp;
|
|
|
|
for (int j = 0; j < 3; j++)
|
|
pp(j) = sp1(j) + x(j);
|
|
|
|
Vec<3> vdir;
|
|
for (int j = 0; j < 3; j++)
|
|
vdir(j) = dir(j);
|
|
|
|
return pf.PointFunctionValueDeriv (pp, vdir, deriv);
|
|
}
|
|
|
|
double Opti3FreeMinFunction :: GradStopping (const Vector & x) const
|
|
{
|
|
double f = Func(x);
|
|
return 1e-3 * f / pf.GetLocalH();
|
|
}
|
|
|
|
|
|
void Opti3FreeMinFunction :: ApproximateHesse (const Vector & x,
|
|
DenseMatrix & hesse) const
|
|
{
|
|
int n = x.Size();
|
|
|
|
Vector hx;
|
|
hx.SetSize(n);
|
|
|
|
double eps = 1e-8;
|
|
double f, f11, f22; //, f12, f21
|
|
|
|
f = Func(x);
|
|
|
|
for (int i = 1; i <= n; i++)
|
|
{
|
|
for (int j = 1; j < i; j++)
|
|
{
|
|
/*
|
|
hx = x;
|
|
hx.Elem(i) = x.Get(i) + eps;
|
|
hx.Elem(j) = x.Get(j) + eps;
|
|
f11 = Func(hx);
|
|
hx.Elem(i) = x.Get(i) + eps;
|
|
hx.Elem(j) = x.Get(j) - eps;
|
|
f12 = Func(hx);
|
|
hx.Elem(i) = x.Get(i) - eps;
|
|
hx.Elem(j) = x.Get(j) + eps;
|
|
f21 = Func(hx);
|
|
hx.Elem(i) = x.Get(i) - eps;
|
|
hx.Elem(j) = x.Get(j) - eps;
|
|
f22 = Func(hx);
|
|
*/
|
|
hesse.Elem(i, j) = hesse.Elem(j, i) = 0;
|
|
// (f11 + f22 - f12 - f21) / (2 * eps * eps);
|
|
}
|
|
|
|
hx = x;
|
|
hx(i-1) = x(i-1) + eps;
|
|
f11 = Func(hx);
|
|
hx(i-1) = x(i-1) - eps;
|
|
f22 = Func(hx);
|
|
|
|
hesse.Elem(i, i) = (f11 + f22 - 2 * f) / (eps * eps) + 1e-12;
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifdef SOLIDGEOM
|
|
class Opti3SurfaceMinFunction : public MinFunction
|
|
{
|
|
const PointFunction & pf;
|
|
Point3d sp1;
|
|
const Surface * surf;
|
|
Vec3d t1, t2;
|
|
|
|
public:
|
|
Opti3SurfaceMinFunction (const PointFunction & apf);
|
|
|
|
void SetPoint (const Surface * asurf, const Point3d & asp1);
|
|
|
|
void CalcNewPoint (const Vector & x, Point3d & np) const;
|
|
virtual double Func (const Vector & x) const;
|
|
virtual double FuncGrad (const Vector & x, Vector & g) const;
|
|
};
|
|
|
|
|
|
Opti3SurfaceMinFunction :: Opti3SurfaceMinFunction (const PointFunction & apf)
|
|
: MinFunction(), pf(apf)
|
|
{
|
|
;
|
|
}
|
|
|
|
void Opti3SurfaceMinFunction :: SetPoint (const Surface * asurf, const Point3d & asp1)
|
|
{
|
|
Vec3d n;
|
|
sp1 = asp1;
|
|
surf = asurf;
|
|
|
|
Vec<3> hn;
|
|
surf -> GetNormalVector (sp1, hn);
|
|
n = hn;
|
|
|
|
n.GetNormal (t1);
|
|
t1 /= t1.Length();
|
|
t2 = Cross (n, t1);
|
|
}
|
|
|
|
|
|
void Opti3SurfaceMinFunction :: CalcNewPoint (const Vector & x,
|
|
Point3d & np) const
|
|
{
|
|
np.X() = sp1.X() + x.Get(1) * t1.X() + x.Get(2) * t2.X();
|
|
np.Y() = sp1.Y() + x.Get(1) * t1.Y() + x.Get(2) * t2.Y();
|
|
np.Z() = sp1.Z() + x.Get(1) * t1.Z() + x.Get(2) * t2.Z();
|
|
|
|
Point<3> hnp = np;
|
|
surf -> Project (hnp);
|
|
np = hnp;
|
|
}
|
|
|
|
|
|
double Opti3SurfaceMinFunction :: Func (const Vector & x) const
|
|
{
|
|
Point3d pp1;
|
|
|
|
CalcNewPoint (x, pp1);
|
|
return pf.PointFunctionValue (pp1);
|
|
}
|
|
|
|
|
|
|
|
double Opti3SurfaceMinFunction :: FuncGrad (const Vector & x, Vector & grad) const
|
|
{
|
|
Vec3d n, vgrad;
|
|
Point3d pp1;
|
|
VectorMem<3> freegrad;
|
|
|
|
CalcNewPoint (x, pp1);
|
|
|
|
double badness = pf.PointFunctionValueGrad (pp1, freegrad);
|
|
vgrad.X() = freegrad.Get(1);
|
|
vgrad.Y() = freegrad.Get(2);
|
|
vgrad.Z() = freegrad.Get(3);
|
|
|
|
Vec<3> hn;
|
|
surf -> GetNormalVector (pp1, hn);
|
|
n = hn;
|
|
|
|
vgrad -= (vgrad * n) * n;
|
|
|
|
grad.Elem(1) = vgrad * t1;
|
|
grad.Elem(2) = vgrad * t2;
|
|
|
|
return badness;
|
|
}
|
|
#endif
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifdef SOLIDGEOM
|
|
class Opti3EdgeMinFunction : public MinFunction
|
|
{
|
|
const PointFunction & pf;
|
|
Point3d sp1;
|
|
const Surface *surf1, *surf2;
|
|
Vec3d t1;
|
|
|
|
public:
|
|
Opti3EdgeMinFunction (const PointFunction & apf);
|
|
|
|
void SetPoint (const Surface * asurf1, const Surface * asurf2,
|
|
const Point3d & asp1);
|
|
void CalcNewPoint (const Vector & x, Point3d & np) const;
|
|
virtual double FuncGrad (const Vector & x, Vector & g) const;
|
|
virtual double Func (const Vector & x) const;
|
|
};
|
|
|
|
Opti3EdgeMinFunction :: Opti3EdgeMinFunction (const PointFunction & apf)
|
|
: MinFunction(), pf(apf)
|
|
{
|
|
;
|
|
}
|
|
|
|
void Opti3EdgeMinFunction :: SetPoint (const Surface * asurf1,
|
|
const Surface * asurf2,
|
|
const Point3d & asp1)
|
|
{
|
|
Vec3d n1, n2;
|
|
sp1 = asp1;
|
|
surf1 = asurf1;
|
|
surf2 = asurf2;
|
|
|
|
Vec<3> hn1, hn2;
|
|
surf1 -> GetNormalVector (sp1, hn1);
|
|
surf2 -> GetNormalVector (sp1, hn2);
|
|
n1 = hn1;
|
|
n2 = hn2;
|
|
t1 = Cross (n1, n2);
|
|
}
|
|
|
|
void Opti3EdgeMinFunction :: CalcNewPoint (const Vector & x,
|
|
Point3d & np) const
|
|
{
|
|
np.X() = sp1.X() + x.Get(1) * t1.X();
|
|
np.Y() = sp1.Y() + x.Get(1) * t1.Y();
|
|
np.Z() = sp1.Z() + x.Get(1) * t1.Z();
|
|
Point<3> hnp = np;
|
|
ProjectToEdge (surf1, surf2, hnp);
|
|
np = hnp;
|
|
}
|
|
|
|
double Opti3EdgeMinFunction :: Func (const Vector & x) const
|
|
{
|
|
Vector g(x.Size());
|
|
return FuncGrad (x, g);
|
|
}
|
|
|
|
|
|
double Opti3EdgeMinFunction :: FuncGrad (const Vector & x, Vector & grad) const
|
|
{
|
|
Vec3d n1, n2, v1, vgrad;
|
|
Point3d pp1;
|
|
double badness;
|
|
VectorMem<3> freegrad;
|
|
|
|
CalcNewPoint (x, pp1);
|
|
|
|
|
|
badness = pf.PointFunctionValueGrad (pp1, freegrad);
|
|
|
|
vgrad.X() = freegrad.Get(1);
|
|
vgrad.Y() = freegrad.Get(2);
|
|
vgrad.Z() = freegrad.Get(3);
|
|
|
|
Vec<3> hn1, hn2;
|
|
surf1 -> GetNormalVector (pp1, hn1);
|
|
surf2 -> GetNormalVector (pp1, hn2);
|
|
n1 = hn1;
|
|
n2 = hn2;
|
|
|
|
v1 = Cross (n1, n2);
|
|
v1 /= v1.Length();
|
|
|
|
grad.Elem(1) = (vgrad * v1) * (t1 * v1);
|
|
return badness;
|
|
}
|
|
#endif
|
|
|
|
|
|
|
|
|
|
|
|
int WrongOrientation (const Mesh::T_POINTS & points, const Element & el)
|
|
{
|
|
const Point3d & p1 = points[el.PNum(1)];
|
|
const Point3d & p2 = points[el.PNum(2)];
|
|
const Point3d & p3 = points[el.PNum(3)];
|
|
const Point3d & p4 = points[el.PNum(4)];
|
|
|
|
Vec3d v1(p1, p2);
|
|
Vec3d v2(p1, p3);
|
|
Vec3d v3(p1, p4);
|
|
Vec3d n;
|
|
|
|
Cross (v1, v2, n);
|
|
double vol = n * v3;
|
|
|
|
return (vol > 0);
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* ************* JacobianPointFunction **************************** */
|
|
|
|
|
|
|
|
|
|
// class JacobianPointFunction : public MinFunction
|
|
// {
|
|
// public:
|
|
// Mesh::T_POINTS & points;
|
|
// const NgArray<Element> & elements;
|
|
// TABLE<INDEX> elementsonpoint;
|
|
// PointIndex actpind;
|
|
|
|
// public:
|
|
// JacobianPointFunction (Mesh::T_POINTS & apoints,
|
|
// const NgArray<Element> & aelements);
|
|
|
|
// virtual void SetPointIndex (PointIndex aactpind);
|
|
// virtual double Func (const Vector & x) const;
|
|
// virtual double FuncGrad (const Vector & x, Vector & g) const;
|
|
// virtual double FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const;
|
|
// };
|
|
|
|
|
|
JacobianPointFunction ::
|
|
JacobianPointFunction (Mesh::T_POINTS & apoints,
|
|
const Array<Element, ElementIndex> & aelements)
|
|
: points(apoints), elements(aelements), elementsonpoint(apoints.Size())
|
|
{
|
|
for (int i = 0; i < elements.Size(); i++)
|
|
for (int j = 1; j <= elements[i].NP(); j++)
|
|
elementsonpoint.Add1 (elements[i].PNum(j), i+1);
|
|
|
|
onplane = false;
|
|
}
|
|
|
|
void JacobianPointFunction :: SetPointIndex (PointIndex aactpind)
|
|
{
|
|
actpind = aactpind;
|
|
}
|
|
|
|
|
|
double JacobianPointFunction :: Func (const Vector & v) const
|
|
{
|
|
int j;
|
|
double badness = 0;
|
|
|
|
Point<3> hp = points[actpind];
|
|
|
|
points[actpind] = hp + Vec<3> (v(0), v(1), v(2));
|
|
|
|
if(onplane)
|
|
points[actpind] -= (v(0)*nv(0)+v(1)*nv(1)+v(2)*nv(2)) * nv;
|
|
|
|
|
|
for (auto eli : elementsonpoint[actpind])
|
|
badness += elements[eli].CalcJacobianBadness (points);
|
|
|
|
points[actpind] = hp;
|
|
|
|
return badness;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
double JacobianPointFunction ::
|
|
FuncGrad (const Vector & x, Vector & g) const
|
|
{
|
|
int j, k;
|
|
int lpi;
|
|
double badness = 0;//, hbad;
|
|
|
|
Point<3> hp = points[actpind];
|
|
points[actpind] = hp + Vec<3> (x(0), x(1), x(2));
|
|
|
|
if(onplane)
|
|
points[actpind] -= (x(0)*nv(0)+x(1)*nv(1)+x(2)*nv(2)) * nv;
|
|
|
|
Vec<3> hderiv;
|
|
//Vec3d vdir;
|
|
g.SetSize(3);
|
|
g = 0;
|
|
|
|
for (auto ei : elementsonpoint[actpind])
|
|
{
|
|
const Element & el = elements[ei];
|
|
|
|
lpi = 0;
|
|
for (k = 1; k <= el.GetNP(); k++)
|
|
if (el.PNum(k) == actpind)
|
|
lpi = k;
|
|
if (!lpi) cerr << "loc point not found" << endl;
|
|
|
|
badness += elements[ei].
|
|
CalcJacobianBadnessGradient (points, lpi, hderiv);
|
|
|
|
for(k=0; k<3; k++)
|
|
g(k) += hderiv(k);
|
|
|
|
/*
|
|
for (k = 1; k <= 3; k++)
|
|
{
|
|
vdir = Vec3d(0,0,0);
|
|
vdir.X(k) = 1;
|
|
|
|
hbad = elements.Get(eli).
|
|
CalcJacobianBadnessDirDeriv (points, lpi, vdir, hderiv);
|
|
//(*testout) << "hderiv " << k << ": " << hderiv << endl;
|
|
g.Elem(k) += hderiv;
|
|
if (k == 1)
|
|
badness += hbad;
|
|
}
|
|
*/
|
|
}
|
|
|
|
if(onplane)
|
|
{
|
|
double scal = nv(0)*g(0) + nv(1)*g(1) + nv(2)*g(2);
|
|
g(0) -= scal*nv(0);
|
|
g(1) -= scal*nv(1);
|
|
g(2) -= scal*nv(2);
|
|
}
|
|
|
|
//(*testout) << "g = " << g << endl;
|
|
|
|
|
|
points[actpind] = hp;
|
|
|
|
return badness;
|
|
}
|
|
|
|
|
|
double JacobianPointFunction ::
|
|
FuncDeriv (const Vector & x, const Vector & dir, double & deriv) const
|
|
{
|
|
int j, k;
|
|
int lpi;
|
|
double badness = 0;
|
|
|
|
Point<3> hp = points[actpind];
|
|
points[actpind] = Point<3> (hp + Vec3d (x(0), x(1), x(2)));
|
|
|
|
if(onplane)
|
|
points[actpind] -= (Vec3d (x(0), x(1), x(2))*nv) * nv;
|
|
|
|
double hderiv;
|
|
deriv = 0;
|
|
Vec<3> vdir(dir(0), dir(1), dir(2));
|
|
|
|
if(onplane)
|
|
{
|
|
double scal = vdir * nv;
|
|
vdir -= scal*nv;
|
|
}
|
|
|
|
for (auto ei : elementsonpoint[actpind])
|
|
{
|
|
const Element & el = elements[ei];
|
|
|
|
lpi = 0;
|
|
for (k = 1; k <= el.GetNP(); k++)
|
|
if (el.PNum(k) == actpind)
|
|
lpi = k;
|
|
if (!lpi) cerr << "loc point not found" << endl;
|
|
|
|
badness += elements[ei].
|
|
CalcJacobianBadnessDirDeriv (points, lpi, vdir, hderiv);
|
|
deriv += hderiv;
|
|
}
|
|
|
|
points[actpind] = hp;
|
|
|
|
return badness;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifdef SOLIDGEOMxxxx
|
|
void Mesh :: ImproveMesh (const CSG eometry & geometry, OPTIMIZEGOAL goal)
|
|
{
|
|
INDEX i, eli;
|
|
int j;
|
|
int typ = 1;
|
|
|
|
if (!&geometry || geometry.GetNSurf() == 0)
|
|
{
|
|
ImproveMesh (goal);
|
|
return;
|
|
}
|
|
|
|
const char * savetask = multithread.task;
|
|
multithread.task = "Optimize Volume: Smooth Mesh";
|
|
|
|
|
|
TABLE<INDEX> surfelementsonpoint(points.Size());
|
|
Vector x(3), xsurf(2), xedge(1);
|
|
int surf, surf1, surf2, surf3;
|
|
|
|
int uselocalh = mparam.uselocalh;
|
|
|
|
(*testout) << setprecision(8);
|
|
(*testout) << "Improve Mesh" << "\n";
|
|
PrintMessage (3, "ImproveMesh");
|
|
// (*mycout) << "Vol = " << CalcVolume (points, volelements) << endl;
|
|
|
|
|
|
for (i = 1; i <= surfelements.Size(); i++)
|
|
for (j = 1; j <= 3; j++)
|
|
surfelementsonpoint.Add1 (surfelements.Get(i).PNum(j), i);
|
|
|
|
|
|
PointFunction * pf;
|
|
if (typ == 1)
|
|
pf = new PointFunction(points, volelements);
|
|
else
|
|
pf = new CheapPointFunction(points, volelements);
|
|
|
|
// pf->SetLocalH (h);
|
|
|
|
Opti3FreeMinFunction freeminf(*pf);
|
|
Opti3SurfaceMinFunction surfminf(*pf);
|
|
Opti3EdgeMinFunction edgeminf(*pf);
|
|
|
|
OptiParameters par;
|
|
par.maxit_linsearch = 20;
|
|
par.maxit_bfgs = 20;
|
|
|
|
int printmod = 1;
|
|
char printdot = '.';
|
|
if (points.Size() > 1000)
|
|
{
|
|
printmod = 10;
|
|
printdot = '+';
|
|
}
|
|
if (points.Size() > 10000)
|
|
{
|
|
printmod = 100;
|
|
printdot = '*';
|
|
}
|
|
|
|
for (i = 1; i <= points.Size(); i++)
|
|
{
|
|
// if (ptyps.Get(i) == FIXEDPOINT) continue;
|
|
if (ptyps.Get(i) != INNERPOINT) continue;
|
|
|
|
if (multithread.terminate)
|
|
throw NgException ("Meshing stopped");
|
|
/*
|
|
if (multithread.terminate)
|
|
break;
|
|
*/
|
|
multithread.percent = 100.0 * i /points.Size();
|
|
|
|
/*
|
|
if (points.Size() < 1000)
|
|
PrintDot ();
|
|
else
|
|
if (i % 10 == 0)
|
|
PrintDot ('+');
|
|
*/
|
|
if (i % printmod == 0) PrintDot (printdot);
|
|
|
|
// (*testout) << "Now point " << i << "\n";
|
|
// (*testout) << "Old: " << points.Get(i) << "\n";
|
|
|
|
pf->SetPointIndex (i);
|
|
|
|
// if (uselocalh)
|
|
{
|
|
double lh = GetH(points.Get(i), points.Get(i).GetLayer());
|
|
pf->SetLocalH (lh);
|
|
par.typx = lh / 10;
|
|
// (*testout) << "lh(" << points.Get(i) << ") = " << lh << "\n";
|
|
}
|
|
|
|
surf1 = surf2 = surf3 = 0;
|
|
|
|
for (j = 1; j <= surfelementsonpoint.EntrySize(i); j++)
|
|
{
|
|
eli = surfelementsonpoint.Get(i, j);
|
|
int surfi = surfelements.Get(eli).GetIndex();
|
|
|
|
if (surfi)
|
|
{
|
|
surf = GetFaceDescriptor(surfi).SurfNr();
|
|
|
|
if (!surf1)
|
|
surf1 = surf;
|
|
else if (surf1 != surf)
|
|
{
|
|
if (!surf2)
|
|
surf2 = surf;
|
|
else if (surf2 != surf)
|
|
surf3 = surf;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
surf1 = surf2 = surf3 = 1; // simulates corner point
|
|
}
|
|
}
|
|
|
|
|
|
if (surf2 && !surf3)
|
|
{
|
|
// (*testout) << "On Edge" << "\n";
|
|
/*
|
|
xedge = 0;
|
|
edgeminf.SetPoint (geometry.GetSurface(surf1),
|
|
geometry.GetSurface(surf2),
|
|
points.Elem(i));
|
|
BFGS (xedge, edgeminf, par);
|
|
|
|
edgeminf.CalcNewPoint (xedge, points.Elem(i));
|
|
*/
|
|
}
|
|
|
|
if (surf1 && !surf2)
|
|
{
|
|
// (*testout) << "In Surface" << "\n";
|
|
/*
|
|
xsurf = 0;
|
|
surfminf.SetPoint (geometry.GetSurface(surf1),
|
|
points.Get(i));
|
|
BFGS (xsurf, surfminf, par);
|
|
|
|
surfminf.CalcNewPoint (xsurf, points.Elem(i));
|
|
*/
|
|
}
|
|
|
|
if (!surf1)
|
|
{
|
|
// (*testout) << "In Volume" << "\n";
|
|
x = 0;
|
|
freeminf.SetPoint (points.Elem(i));
|
|
// par.typx =
|
|
BFGS (x, freeminf, par);
|
|
|
|
points.Elem(i).X() += x.Get(1);
|
|
points.Elem(i).Y() += x.Get(2);
|
|
points.Elem(i).Z() += x.Get(3);
|
|
}
|
|
|
|
// (*testout) << "New Point: " << points.Elem(i) << "\n" << "\n";
|
|
|
|
}
|
|
PrintDot ('\n');
|
|
// (*mycout) << "Vol = " << CalcVolume (points, volelements) << endl;
|
|
|
|
multithread.task = savetask;
|
|
|
|
}
|
|
#endif
|
|
|
|
|
|
|
|
|
|
void Mesh :: ImproveMesh (const MeshingParameters & mp, OPTIMIZEGOAL goal)
|
|
{
|
|
static Timer t("Mesh::ImproveMesh"); RegionTimer reg(t);
|
|
static Timer tcoloring("coloring");
|
|
static Timer tcalcbadmax("Calc badmax");
|
|
static Timer topt("optimize");
|
|
static Timer trange("range");
|
|
static Timer tloch("loch");
|
|
|
|
BuildBoundaryEdges(false);
|
|
|
|
(*testout) << "Improve Mesh" << "\n";
|
|
PrintMessage (3, "ImproveMesh");
|
|
|
|
int np = GetNP();
|
|
int ne = GetNE();
|
|
|
|
PointFunction pf_glob(*this, mp);
|
|
|
|
auto & elementsonpoint = pf_glob.GetPointToElementTable();
|
|
|
|
const auto & getDofs = [&] (int i)
|
|
{
|
|
i += PointIndex::BASE;
|
|
return FlatArray<ElementIndex>(elementsonpoint[i].Size(), elementsonpoint[i].Data());
|
|
};
|
|
|
|
Array<int> colors(points.Size());
|
|
|
|
tcoloring.Start();
|
|
int ncolors = ngcore::ComputeColoring( colors, ne, getDofs );
|
|
auto color_table = CreateTable<PointIndex, int>( points.Size(),
|
|
[&] ( auto & table, int i )
|
|
{
|
|
PointIndex pi = i+static_cast<int>(PointIndex::BASE);
|
|
table.Add(colors[i], pi);
|
|
}, ncolors);
|
|
|
|
tcoloring.Stop();
|
|
|
|
if (goal == OPT_QUALITY)
|
|
{
|
|
double bad1 = CalcTotalBad (mp);
|
|
(*testout) << "Total badness = " << bad1 << endl;
|
|
PrintMessage (5, "Total badness = ", bad1);
|
|
}
|
|
|
|
|
|
(*testout) << setprecision(8);
|
|
|
|
Array<double, PointIndex> pointh (points.Size());
|
|
|
|
if(HasLocalHFunction())
|
|
{
|
|
RegionTimer rt(tloch);
|
|
ParallelForRange(points.Range(), [&] (auto myrange)
|
|
{
|
|
for(auto pi : myrange)
|
|
pointh[pi] = GetH(pi);
|
|
});
|
|
}
|
|
else
|
|
{
|
|
pointh = 0;
|
|
for (Element & el : VolumeElements())
|
|
{
|
|
double h = pow(el.Volume(points),1./3.);
|
|
for (PointIndex pi : el.PNums())
|
|
if (h > pointh[pi])
|
|
pointh[pi] = h;
|
|
}
|
|
}
|
|
|
|
const char * savetask = multithread.task;
|
|
multithread.task = "Optimize Volume: Smooth Mesh";
|
|
|
|
topt.Start();
|
|
int counter = 0;
|
|
for (auto icolor : Range(ncolors))
|
|
{
|
|
if (multithread.terminate)
|
|
throw NgException ("Meshing stopped");
|
|
|
|
ParallelForRange( color_table[icolor].Range(), [&](auto myrange)
|
|
{
|
|
RegionTracer reg(ngcore::TaskManager::GetThreadId(), trange, myrange.Size());
|
|
Vector x(3);
|
|
|
|
PointFunction pf{pf_glob};
|
|
|
|
Opti3FreeMinFunction freeminf(pf);
|
|
|
|
OptiParameters par;
|
|
par.maxit_linsearch = 20;
|
|
par.maxit_bfgs = 20;
|
|
|
|
for (auto i : myrange)
|
|
{
|
|
PointIndex pi = color_table[icolor][i];
|
|
if ( (*this)[pi].Type() == INNERPOINT )
|
|
{
|
|
counter++;
|
|
|
|
double lh = pointh[pi];
|
|
pf.SetLocalH (lh);
|
|
par.typx = lh;
|
|
|
|
freeminf.SetPoint (points[pi]);
|
|
pf.SetPointIndex (pi);
|
|
|
|
x = 0;
|
|
int pok;
|
|
pok = freeminf.Func (x) < 1e10;
|
|
|
|
if (!pok)
|
|
{
|
|
pok = pf.MovePointToInner ();
|
|
|
|
freeminf.SetPoint (points[pi]);
|
|
pf.SetPointIndex (pi);
|
|
}
|
|
|
|
if (pok)
|
|
{
|
|
//*testout << "start BFGS, pok" << endl;
|
|
BFGS (x, freeminf, par);
|
|
//*testout << "BFGS complete, pok" << endl;
|
|
points[pi](0) += x(0);
|
|
points[pi](1) += x(1);
|
|
points[pi](2) += x(2);
|
|
}
|
|
}
|
|
}
|
|
}, 4*ngcore::TaskManager::GetNumThreads());
|
|
}
|
|
topt.Stop();
|
|
|
|
multithread.task = savetask;
|
|
|
|
if (goal == OPT_QUALITY)
|
|
{
|
|
double bad1 = CalcTotalBad (mp);
|
|
(*testout) << "Total badness = " << bad1 << endl;
|
|
PrintMessage (5, "Total badness = ", bad1);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
// Improve Condition number of Jacobian, any elements
|
|
void Mesh :: ImproveMeshJacobian (const MeshingParameters & mp,
|
|
OPTIMIZEGOAL goal, const NgBitArray * usepoint)
|
|
{
|
|
// int i, j;
|
|
|
|
(*testout) << "Improve Mesh Jacobian" << "\n";
|
|
PrintMessage (3, "ImproveMesh Jacobian");
|
|
|
|
int np = GetNP();
|
|
int ne = GetNE();
|
|
|
|
|
|
Vector x(3);
|
|
|
|
(*testout) << setprecision(8);
|
|
|
|
JacobianPointFunction pf(points, volelements);
|
|
|
|
|
|
OptiParameters par;
|
|
par.maxit_linsearch = 20;
|
|
par.maxit_bfgs = 20;
|
|
|
|
NgBitArray badnodes(np);
|
|
badnodes.Clear();
|
|
|
|
for (int i = 1; i <= ne; i++)
|
|
{
|
|
const Element & el = VolumeElement(i);
|
|
double bad = el.CalcJacobianBadness (Points());
|
|
if (bad > 1)
|
|
for (int j = 1; j <= el.GetNP(); j++)
|
|
badnodes.Set (el.PNum(j));
|
|
}
|
|
|
|
NgArray<double, PointIndex::BASE, PointIndex> pointh (points.Size());
|
|
|
|
if(HasLocalHFunction())
|
|
{
|
|
// for(i = 1; i<=points.Size(); i++)
|
|
for (PointIndex pi : points.Range())
|
|
pointh[pi] = GetH(pi);
|
|
}
|
|
else
|
|
{
|
|
pointh = 0;
|
|
for (int i=0; i<GetNE(); i++)
|
|
{
|
|
const Element & el = VolumeElement(i+1);
|
|
double h = pow(el.Volume(points),1./3.);
|
|
for(int j=1; j<=el.GetNV(); j++)
|
|
if(h > pointh[el.PNum(j)])
|
|
pointh[el.PNum(j)] = h;
|
|
}
|
|
}
|
|
|
|
|
|
|
|
const char * savetask = multithread.task;
|
|
multithread.task = "Optimize Volume: Smooth Mesh Jacobian";
|
|
|
|
// for (PointIndex pi = points.Begin(); i < points.End(); pi++)
|
|
for (PointIndex pi : points.Range())
|
|
{
|
|
if ((*this)[pi].Type() != INNERPOINT)
|
|
continue;
|
|
|
|
if(usepoint && !usepoint->Test(pi))
|
|
continue;
|
|
|
|
//(*testout) << "improvejac, p = " << i << endl;
|
|
|
|
if (goal == OPT_WORSTCASE && !badnodes.Test(pi))
|
|
continue;
|
|
// (*testout) << "smooth p " << i << endl;
|
|
|
|
/*
|
|
if (multithread.terminate)
|
|
break;
|
|
*/
|
|
if (multithread.terminate)
|
|
throw NgException ("Meshing stopped");
|
|
|
|
multithread.percent = 100.0 * pi / points.Size();
|
|
|
|
if (points.Size() < 1000)
|
|
PrintDot ();
|
|
else
|
|
if (pi % 10 == 0)
|
|
PrintDot ('+');
|
|
|
|
double lh = pointh[pi];
|
|
par.typx = lh;
|
|
|
|
pf.SetPointIndex (pi);
|
|
|
|
x = 0;
|
|
int pok = (pf.Func (x) < 1e10);
|
|
|
|
if (pok)
|
|
{
|
|
//*testout << "start BFGS, Jacobian" << endl;
|
|
BFGS (x, pf, par);
|
|
//*testout << "end BFGS, Jacobian" << endl;
|
|
points[pi](0) += x(0);
|
|
points[pi](1) += x(1);
|
|
points[pi](2) += x(2);
|
|
}
|
|
else
|
|
{
|
|
cout << "el not ok" << endl;
|
|
}
|
|
}
|
|
PrintDot ('\n');
|
|
|
|
|
|
multithread.task = savetask;
|
|
}
|
|
|
|
|
|
|
|
|
|
// Improve Condition number of Jacobian, any elements
|
|
void Mesh :: ImproveMeshJacobianOnSurface (const MeshingParameters & mp,
|
|
const NgBitArray & usepoint,
|
|
const NgArray< Vec<3>* > & nv,
|
|
OPTIMIZEGOAL goal,
|
|
const NgArray< NgArray<int,PointIndex::BASE>* > * idmaps)
|
|
{
|
|
// int i, j;
|
|
|
|
(*testout) << "Improve Mesh Jacobian" << "\n";
|
|
PrintMessage (3, "ImproveMesh Jacobian");
|
|
|
|
int np = GetNP();
|
|
int ne = GetNE();
|
|
|
|
|
|
Vector x(3);
|
|
|
|
(*testout).precision(8);
|
|
|
|
JacobianPointFunction pf(points, volelements);
|
|
|
|
NgArray< NgArray<int,PointIndex::BASE>* > locidmaps;
|
|
const NgArray< NgArray<int,PointIndex::BASE>* > * used_idmaps;
|
|
|
|
if(idmaps)
|
|
used_idmaps = idmaps;
|
|
else
|
|
{
|
|
used_idmaps = &locidmaps;
|
|
|
|
for(int i=1; i<=GetIdentifications().GetMaxNr(); i++)
|
|
{
|
|
if(GetIdentifications().GetType(i) == Identifications::PERIODIC)
|
|
{
|
|
locidmaps.Append(new NgArray<int,PointIndex::BASE>);
|
|
GetIdentifications().GetMap(i,*locidmaps.Last(),true);
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
bool usesum = (used_idmaps->Size() > 0);
|
|
MinFunctionSum pf_sum;
|
|
|
|
JacobianPointFunction * pf2ptr = NULL;
|
|
if(usesum)
|
|
{
|
|
pf2ptr = new JacobianPointFunction(points, volelements);
|
|
pf_sum.AddFunction(pf);
|
|
pf_sum.AddFunction(*pf2ptr);
|
|
}
|
|
|
|
|
|
OptiParameters par;
|
|
par.maxit_linsearch = 20;
|
|
par.maxit_bfgs = 20;
|
|
|
|
NgBitArray badnodes(np);
|
|
badnodes.Clear();
|
|
|
|
for (int i = 1; i <= ne; i++)
|
|
{
|
|
const Element & el = VolumeElement(i);
|
|
double bad = el.CalcJacobianBadness (Points());
|
|
if (bad > 1)
|
|
for (int j = 1; j <= el.GetNP(); j++)
|
|
badnodes.Set (el.PNum(j));
|
|
}
|
|
|
|
NgArray<double, PointIndex::BASE> pointh (points.Size());
|
|
|
|
if(HasLocalHFunction())
|
|
{
|
|
// for(i=1; i<=points.Size(); i++)
|
|
for (PointIndex pi : points.Range())
|
|
pointh[pi] = GetH(pi);
|
|
}
|
|
else
|
|
{
|
|
pointh = 0;
|
|
for(int i=0; i<GetNE(); i++)
|
|
{
|
|
const Element & el = VolumeElement(i+1);
|
|
double h = pow(el.Volume(points),1./3.);
|
|
for(int j=1; j<=el.GetNV(); j++)
|
|
if(h > pointh[el.PNum(j)])
|
|
pointh[el.PNum(j)] = h;
|
|
}
|
|
}
|
|
|
|
|
|
const char * savetask = multithread.task;
|
|
multithread.task = "Optimize Volume: Smooth Mesh Jacobian";
|
|
|
|
// for (PointIndex pi = points.Begin(); pi <= points.End(); pi++)
|
|
for (PointIndex pi : points.Range())
|
|
if ( usepoint.Test(pi) )
|
|
{
|
|
//(*testout) << "improvejac, p = " << i << endl;
|
|
|
|
if (goal == OPT_WORSTCASE && !badnodes.Test(pi))
|
|
continue;
|
|
// (*testout) << "smooth p " << i << endl;
|
|
|
|
/*
|
|
if (multithread.terminate)
|
|
break;
|
|
*/
|
|
if (multithread.terminate)
|
|
throw NgException ("Meshing stopped");
|
|
|
|
multithread.percent = 100.0 * pi / points.Size();
|
|
|
|
if (points.Size() < 1000)
|
|
PrintDot ();
|
|
else
|
|
if (pi % 10 == 0)
|
|
PrintDot ('+');
|
|
|
|
double lh = pointh[pi];//GetH(points.Get(i));
|
|
par.typx = lh;
|
|
|
|
pf.SetPointIndex (pi);
|
|
|
|
PointIndex brother (-1);
|
|
if(usesum)
|
|
{
|
|
for(int j=0; brother == -1 && j<used_idmaps->Size(); j++)
|
|
{
|
|
if(pi < (*used_idmaps)[j]->Size() + PointIndex::BASE)
|
|
{
|
|
brother = (*(*used_idmaps)[j])[pi];
|
|
if(brother == pi || brother == 0)
|
|
brother = -1;
|
|
}
|
|
}
|
|
if(brother >= pi)
|
|
{
|
|
pf2ptr->SetPointIndex(brother);
|
|
pf2ptr->SetNV(*nv[brother-1]);
|
|
}
|
|
}
|
|
|
|
if(usesum && brother < pi)
|
|
continue;
|
|
|
|
//pf.UnSetNV(); x = 0;
|
|
//(*testout) << "before " << pf.Func(x);
|
|
|
|
pf.SetNV(*nv[pi-1]);
|
|
|
|
x = 0;
|
|
int pok = (brother == -1) ? (pf.Func (x) < 1e10) : (pf_sum.Func (x) < 1e10);
|
|
|
|
if (pok)
|
|
{
|
|
|
|
if(brother == -1)
|
|
BFGS (x, pf, par);
|
|
else
|
|
BFGS (x, pf_sum, par);
|
|
|
|
|
|
for(int j=0; j<3; j++)
|
|
points[pi](j) += x(j);// - scal*nv[i-1].X(j);
|
|
|
|
if(brother != -1)
|
|
for(int j=0; j<3; j++)
|
|
points[brother](j) += x(j);// - scal*nv[brother-1].X(j);
|
|
|
|
|
|
}
|
|
else
|
|
{
|
|
cout << "el not ok" << endl;
|
|
(*testout) << "el not ok" << endl
|
|
<< " func " << ((brother == -1) ? pf.Func(x) : pf_sum.Func (x)) << endl;
|
|
if(brother != -1)
|
|
(*testout) << " func1 " << pf.Func(x) << endl
|
|
<< " func2 " << pf2ptr->Func(x) << endl;
|
|
}
|
|
}
|
|
|
|
PrintDot ('\n');
|
|
|
|
delete pf2ptr;
|
|
for(int i=0; i<locidmaps.Size(); i++)
|
|
delete locidmaps[i];
|
|
|
|
multithread.task = savetask;
|
|
}
|
|
|
|
|
|
|
|
|
|
}
|