netgen/libsrc/visualization/vsfieldlines.cpp

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#ifndef NOTCL
#include <mystdlib.h>
#include "incvis.hpp"
#include <myadt.hpp>
#include <meshing.hpp>
#include <csg.hpp>
#include <stlgeom.hpp>
#include <visual.hpp>
namespace netgen
{
extern AutoPtr<Mesh> mesh;
RKStepper :: ~RKStepper()
{
delete a;
}
RKStepper :: RKStepper(int type) : a(NULL), tolerance(1e100)
{
notrestarted = 0;
if (type == 0) // explicit Euler
{
c.SetSize(1); c[0] = 0;
b.SetSize(1); b[0] = 1;
steps = order = 1;
}
else if (type == 1) // Euler-Cauchy
{
c.SetSize(2); c[0] = 0; c[1] = 0.5;
b.SetSize(2); b[0] = 0; b[1] = 1;
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Array<int> size(2);
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size[0] = 0; size[1] = 1;
a = new TABLE<double>(size);
a->Set(2,1,0.5); // Set, Get: 1-based!
steps = order = 2;
}
else if (type == 2) // Simpson
{
c.SetSize(3); c[0] = 0; c[1] = 1; c[2] = 0.5;
b.SetSize(3); b[0] = b[1] = 1./6.; b[2] = 2./3.;
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Array<int> size(3);
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size[0] = 0; size[1] = 1; size[2] = 2;
a = new TABLE<double>(size);
a->Set(2,1,1);
a->Set(3,1,0.25); a->Set(3,2,0.25);
steps = order = 3;
}
else if (type == 3) // classical Runge-Kutta
{
c.SetSize(4); c[0] = 0; c[1] = c[2] = 0.5; c[3] = 1;
b.SetSize(4); b[0] = b[3] = 1./6.; b[1] = b[2] = 1./3.;
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Array<int> size(4);
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size[0] = 0; size[1] = 1; size[2] = 2; size[3] = 3;
a = new TABLE<double>(size);
a->Set(2,1,0.5);
a->Set(3,1,0); a->Set(3,2,0.5);
a->Set(4,1,0); a->Set(4,2,0); a->Set(4,3,1);
steps = order = 4;
}
K.SetSize(steps);
}
void RKStepper :: StartNextValCalc(const Point3d & astartval, const double astartt, const double ah, const bool aadaptive)
{
//cout << "Starting RK-Step with h=" << ah << endl;
stepcount = 0;
h = ah;
startt = astartt;
startval = astartval;
adaptive = aadaptive;
adrun = 0;
}
bool RKStepper :: GetNextData(Point3d & val, double & t, double & ah)
{
bool finished(false);
//cout << "stepcount " << stepcount << endl;
if(stepcount <= steps)
{
t = startt + c[stepcount-1]*h;
val = startval;
for(int i=0; i<stepcount-1; i++)
val += h * a->Get(stepcount,i+1) * K[i];
}
if(stepcount == steps)
{
val = startval;
for(int i=0; i<steps; i++)
val += h * b[i] * K[i];
if(adaptive)
{
if(adrun == 0)
{
stepcount = 0;
h *= 0.5;
adrun = 1;
valh = val;
}
else if (adrun == 1)
{
stepcount = 0;
startval_bak = startval;
startval = val;
startt_bak = startt;
startt += h;//0.5*h;
adrun = 2;
}
else if (adrun == 2)
{
Point3d valh2 = val;
val = valh2 + 1./(pow(2.,order)-1.) * (valh2 - valh);
Vec3d errvec = val - valh;
double err = errvec.Length();
double fac = 0.7 * pow(tolerance/err,1./(order+1.));
if(fac > 1.3) fac = 1.3;
if(fac < 1 || notrestarted >= 2)
ah = 2.*h * fac;
if(err < tolerance)
{
finished = true;
notrestarted++;
//(*testout) << "finished RK-Step, new h=" << ah << " tolerance " << tolerance << " err " << err << endl;
}
else
{
//ah *= 0.9;
notrestarted = 0;
//(*testout) << "restarting h " << 2.*h << " ah " << ah << " tolerance " << tolerance << " err " << err << endl;
StartNextValCalc(startval_bak,startt_bak, ah, adaptive);
}
}
}
else
{
t = startt + h;
finished = true;
}
}
if(stepcount == 0)
{
t = startt + c[stepcount]*h;
val = startval;
for(int i=0; i<stepcount; i++)
val += h * a->Get(stepcount,i) * K[i];
}
return finished;
}
bool RKStepper :: FeedNextF(const Vec3d & f)
{
K[stepcount] = f;
stepcount++;
return true;
}
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void FieldLineCalc :: GenerateFieldLines(Array<Point3d> & potential_startpoints, const int numlines, const int gllist,
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const double minval, const double maxval, const int logscale, double phaser, double phasei)
{
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Array<Point3d> points;
Array<double> values;
Array<bool> drawelems;
Array<int> dirstart;
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if(vsol -> iscomplex)
SetPhase(phaser,phasei);
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double crit = 1.0;
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if(randomized)
{
double sum = 0;
double lami[3];
double values[6];
Vec3d v;
for(int i=0; i<potential_startpoints.Size(); i++)
{
int elnr = mesh.GetElementOfPoint(potential_startpoints[i],lami,true) - 1;
if(elnr == -1)
continue;
mesh.SetPointSearchStartElement(elnr);
if (mesh.GetDimension()==3)
vss.GetValues ( vsol, elnr, lami[0], lami[1], lami[2], values);
else
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vss.GetSurfValues ( vsol, elnr, -1, lami[0], lami[1], values);
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VisualSceneSolution::RealVec3d ( values, v, vsol->iscomplex, phaser, phasei);
sum += v.Length();
}
crit = sum/double(numlines);
}
int calculated = 0;
cout << endl;
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for(int i=0; i<potential_startpoints.Size(); i++)
{
cout << "\rFieldline Calculation " << int(100.*i/potential_startpoints.Size()) << "%"; cout.flush();
if(randomized)
SetCriticalValue((double(rand())/RAND_MAX)*crit);
if(calculated >= numlines) break;
Calc(potential_startpoints[i],points,values,drawelems,dirstart);
bool usable = false;
for(int j=1; j<dirstart.Size(); j++)
for(int k=dirstart[j-1]; k<dirstart[j]-1; k++)
{
if(!drawelems[k] || !drawelems[k+1]) continue;
usable = true;
// vss.SetOpenGlColor (0.5*(values[k]+values[k+1]), minval, maxval, logscale);
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/*
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if (vss.usetexture == 1)
glTexCoord1f ( 0.5*(values[k]+values[k+1]) );
else
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*/
vss.SetOpenGlColor (0.5*(values[k]+values[k+1]) );
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vss.DrawCylinder (points[k], points[k+1], thickness);
}
if(usable) calculated++;
}
cout << "\rFieldline Calculation " << 100 << "%" << endl;
}
FieldLineCalc :: FieldLineCalc(const Mesh & amesh, VisualSceneSolution & avss, const VisualSceneSolution::SolData * solution,
const double rel_length, const int amaxpoints,
const double rel_thickness, const double rel_tolerance, const int rk_type, const int adirection) :
mesh(amesh), vss(avss), vsol(solution), stepper(rk_type)
{
mesh.GetBox (pmin, pmax);
rad = 0.5 * Dist (pmin, pmax);
maxlength = (rel_length > 0) ? rel_length : 0.5;
maxlength *= 2.*rad;
thickness = (rel_thickness > 0) ? rel_thickness : 0.0015;
thickness *= 2.*rad;
double auxtolerance = (rel_tolerance > 0) ? rel_tolerance : 1.5e-3;
auxtolerance *= 2.*rad;
stepper.SetTolerance(auxtolerance);
direction = adirection;
maxpoints = amaxpoints;
if(direction == 0)
{
maxlength *= 0.5;
maxpoints /= 2;
}
phaser = 1;
phasei = 0;
critical_value = -1;
randomized = false;
}
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void FieldLineCalc :: Calc(const Point3d & startpoint, Array<Point3d> & points, Array<double> & vals, Array<bool> & drawelems, Array<int> & dirstart)
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{
double lami[3], startlami[3];
double values[6];
double dummyt(0);
Vec3d v;
Vec3d startv;
Point3d newp;
double h;
double startval;
bool startdraw;
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bool drawelem = false;
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int elnr;
for (int i=0; i<6; i++) values[i]=0.0;
for (int i=0; i<3; i++) lami[i]=0.0;
for (int i=0; i<3; i++) startlami[i]=0.0;
points.SetSize(0);
vals.SetSize(0);
drawelems.SetSize(0);
dirstart.SetSize(0);
dirstart.Append(0);
int startelnr = mesh.GetElementOfPoint(startpoint,startlami,true) - 1;
(*testout) << "p = " << startpoint << "; elnr = " << startelnr << endl;
if (startelnr == -1)
return;
mesh.SetPointSearchStartElement(startelnr);
if (mesh.GetDimension()==3)
startdraw = vss.GetValues ( vsol, startelnr, startlami[0], startlami[1], startlami[2], values);
else
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startdraw = vss.GetSurfValues ( vsol, startelnr, -1, startlami[0], startlami[1], values);
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VisualSceneSolution::RealVec3d ( values, startv, vsol->iscomplex, phaser, phasei);
startval = startv.Length();
if(critical_value > 0 && fabs(startval) < critical_value)
return;
//cout << "p = " << startpoint << "; elnr = " << startelnr << endl;
for(int dir = 1; dir >= -1; dir -= 2)
{
if(dir*direction < 0) continue;
points.Append(startpoint);
vals.Append(startval);
drawelems.Append(startdraw);
h = 0.001*rad/startval; // otherwise no nice lines; should be made accessible from outside
v = startv;
if(dir == -1) v *= -1.;
elnr = startelnr;
lami[0] = startlami[0]; lami[1] = startlami[1]; lami[2] = startlami[2];
for(double length = 0; length < maxlength; length += h*vals.Last())
{
if(v.Length() < 1e-12*rad)
{
(*testout) << "Current fieldlinecalculation came to a stillstand at " << points.Last() << endl;
break;
}
stepper.StartNextValCalc(points.Last(),dummyt,h,true);
stepper.FeedNextF(v);
while(!stepper.GetNextData(newp,dummyt,h) && elnr != -1)
{
elnr = mesh.GetElementOfPoint(newp,lami,true) - 1;
if(elnr != -1)
{
mesh.SetPointSearchStartElement(elnr);
if (mesh.GetDimension()==3)
drawelem = vss.GetValues (vsol, elnr, lami[0], lami[1], lami[2], values);
else
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drawelem = vss.GetSurfValues (vsol, elnr, -1, lami[0], lami[1], values);
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VisualSceneSolution::RealVec3d (values, v, vsol->iscomplex, phaser, phasei);
if(dir == -1) v *= -1.;
stepper.FeedNextF(v);
}
}
if (elnr == -1)
{
//cout << "direction " <<dir << " reached the wall." << endl;
break;
}
points.Append(newp);
vals.Append(v.Length());
drawelems.Append(drawelem);
if(points.Size() % 40 == 0 && points.Size() > 1)
(*testout) << "Points in current fieldline: " << points.Size() << ", current position: " << newp << endl;
if(maxpoints > 0 && points.Size() >= maxpoints)
{
break;
}
//cout << "length " << length << " h " << h << " vals.Last() " << vals.Last() << " maxlength " << maxlength << endl;
}
dirstart.Append(points.Size());
}
}
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void VisualSceneSolution :: BuildFieldLinesFromBox(Array<Point3d> & startpoints)
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{
if(fieldlines_startarea_parameter[0] > fieldlines_startarea_parameter[3] ||
fieldlines_startarea_parameter[1] > fieldlines_startarea_parameter[4] ||
fieldlines_startarea_parameter[2] > fieldlines_startarea_parameter[5])
{
Point3d pmin, pmax;
mesh->GetBox (pmin, pmax);
fieldlines_startarea_parameter[0] = pmin.X();
fieldlines_startarea_parameter[1] = pmin.Y();
fieldlines_startarea_parameter[2] = pmin.Z();
fieldlines_startarea_parameter[3] = pmax.X();
fieldlines_startarea_parameter[4] = pmax.Y();
fieldlines_startarea_parameter[5] = pmax.Z();
}
for (int i = 1; i <= startpoints.Size(); i++)
{
Point3d p (fieldlines_startarea_parameter[0] + double (rand()) / RAND_MAX * (fieldlines_startarea_parameter[3]-fieldlines_startarea_parameter[0]),
fieldlines_startarea_parameter[1] + double (rand()) / RAND_MAX * (fieldlines_startarea_parameter[4]-fieldlines_startarea_parameter[1]),
fieldlines_startarea_parameter[2] + double (rand()) / RAND_MAX * (fieldlines_startarea_parameter[5]-fieldlines_startarea_parameter[2]));
startpoints[i-1] = p;
}
}
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void VisualSceneSolution :: BuildFieldLinesFromLine(Array<Point3d> & startpoints)
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{
for (int i = 1; i <= startpoints.Size(); i++)
{
double s = double (rand()) / RAND_MAX;
Point3d p (fieldlines_startarea_parameter[0] + s * (fieldlines_startarea_parameter[3]-fieldlines_startarea_parameter[0]),
fieldlines_startarea_parameter[1] + s * (fieldlines_startarea_parameter[4]-fieldlines_startarea_parameter[1]),
fieldlines_startarea_parameter[2] + s * (fieldlines_startarea_parameter[5]-fieldlines_startarea_parameter[2]));
startpoints[i-1] = p;
}
}
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void VisualSceneSolution :: BuildFieldLinesFromFile(Array<Point3d> & startpoints)
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{
ifstream * infile;
infile = new ifstream(fieldlines_filename.c_str());
//cout << "reading from file " << fieldlines_filename << endl;
int numpoints = 0;
string keyword;
double dparam;
int iparam;
while(infile->good())
{
(*infile) >> keyword;
if(keyword == "point") numpoints++;
else if(keyword == "line" || keyword == "box")
{
for(int i=0; i<6; i++) (*infile) >> dparam;
(*infile) >> iparam;
numpoints += iparam;
}
}
delete infile;
//cout << numpoints << " startpoints" << endl;
startpoints.SetSize(numpoints);
infile = new ifstream(fieldlines_filename.c_str());
numpoints = 0;
while(infile->good())
{
(*infile) >> keyword;
if (keyword == "point")
{
(*infile) >> startpoints[numpoints].X(); (*infile) >> startpoints[numpoints].Y(); (*infile) >> startpoints[numpoints].Z();
numpoints++;
}
else if (keyword == "line" || keyword == "box")
{
for(int i=0; i<6; i++) (*infile) >> fieldlines_startarea_parameter[i];
(*infile) >> iparam;
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Array<Point3d> auxpoints(iparam);
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if (keyword == "box")
BuildFieldLinesFromBox(auxpoints);
else if (keyword == "line")
BuildFieldLinesFromLine(auxpoints);
for(int i=0; i<iparam; i++)
{
startpoints[numpoints] = auxpoints[i];
numpoints++;
}
}
//cout << "startpoints " << startpoints << endl;
}
delete infile;
}
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void VisualSceneSolution :: BuildFieldLinesFromFace(Array<Point3d> & startpoints)
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{
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Array<SurfaceElementIndex> elements_2d;
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//cout << "fieldlines_startface " << fieldlines_startface << endl;
mesh->GetSurfaceElementsOfFace(fieldlines_startface,elements_2d);
if(elements_2d.Size() == 0)
{
cerr << "No Elements on selected face (?)" << endl;
return;
}
Vec3d v1,v2,cross;
double area = 0;
int i;
for(i=0; i<elements_2d.Size(); i++)
{
const Element2d & elem = mesh->SurfaceElement(elements_2d[i]);
v1 = mesh->Point(elem[1]) - mesh->Point(elem[0]);
v2 = mesh->Point(elem[2]) - mesh->Point(elem[0]);
cross = Cross(v1,v2);
area += cross.Length();
if(elem.GetNV() == 4)
{
v1 = mesh->Point(elem[2]) - mesh->Point(elem[0]);
v2 = mesh->Point(elem[3]) - mesh->Point(elem[0]);
cross = Cross(v1,v2);
area += cross.Length();
}
}
int startpointsp = 0;
i = 0;
while(startpointsp < startpoints.Size())
{
const Element2d & elem = mesh->SurfaceElement(elements_2d[i]);
int numtri = (elem.GetNV() == 3) ? 1 : 2;
for(int tri = 0; startpointsp < startpoints.Size() && tri<numtri; tri++)
{
if(tri == 0)
{
v1 = mesh->Point(elem[1]) - mesh->Point(elem[0]);
v2 = mesh->Point(elem[2]) - mesh->Point(elem[0]);
cross = Cross(v1,v2);
}
else if(tri == 1)
{
v1 = mesh->Point(elem[2]) - mesh->Point(elem[0]);
v2 = mesh->Point(elem[3]) - mesh->Point(elem[0]);
cross = Cross(v1,v2);
}
double thisarea = cross.Length();
int numloc = int(startpoints.Size()*thisarea/area);
if(double (rand()) / RAND_MAX < startpoints.Size()*thisarea/area - numloc)
numloc++;
for(int j=0; startpointsp < startpoints.Size() && j<numloc; j++)
{
double s = double (rand()) / RAND_MAX;
double t = double (rand()) / RAND_MAX;
if(s+t > 1)
{
s = 1.-s; t = 1.-t;
}
startpoints[startpointsp] = mesh->Point(elem[0]) + s*v1 +t*v2;
startpointsp++;
}
}
i++;
if(i == elements_2d.Size()) i = 0;
}
}
void VisualSceneSolution :: BuildFieldLinesPlot ()
{
if (fieldlinestimestamp >= solutiontimestamp)
return;
fieldlinestimestamp = solutiontimestamp;
if (fieldlineslist)
glDeleteLists (fieldlineslist, num_fieldlineslists);
if (vecfunction == -1)
return;
const SolData * vsol = soldata[fieldlines_vecfunction];
num_fieldlineslists = (vsol -> iscomplex && !fieldlines_fixedphase) ? 100 : 1;
FieldLineCalc linecalc(*mesh,*this,vsol,
fieldlines_rellength,fieldlines_maxpoints,fieldlines_relthickness,fieldlines_reltolerance,fieldlines_rktype);
if(fieldlines_randomstart)
linecalc.Randomized();
fieldlineslist = glGenLists (num_fieldlineslists);
int num_startpoints = num_fieldlines / num_fieldlineslists;
if (num_fieldlines % num_fieldlineslists != 0) num_startpoints++;
if(fieldlines_randomstart)
num_startpoints *= 10;
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Array<Point3d> startpoints(num_startpoints);
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for (int ln = 0; ln < num_fieldlineslists; ln++)
{
if(fieldlines_startarea == 0)
BuildFieldLinesFromBox(startpoints);
else if(fieldlines_startarea == 1)
BuildFieldLinesFromFile(startpoints);
else if(fieldlines_startarea == 2)
BuildFieldLinesFromFace(startpoints);
double phi;
if(vsol -> iscomplex)
{
if(fieldlines_fixedphase)
phi = fieldlines_phase;
else
phi = 2*M_PI*ln / num_fieldlineslists;
}
else
phi = 0;
cout << "phi = " << phi << endl;
double phaser = cos(phi), phasei = sin(phi);
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glNewList(fieldlineslist+ln, GL_COMPILE);
SetTextureMode (usetexture);
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linecalc.GenerateFieldLines(startpoints,num_fieldlines / num_fieldlineslists+1,
fieldlineslist+ln,minval,maxval,logscale,phaser,phasei);
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glEndList ();
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}
}
}
#endif // NOTCL