mirror of
https://github.com/NGSolve/netgen.git
synced 2024-12-24 21:10:33 +05:00
extrusion
This commit is contained in:
Joachim Schoeberl
parent
08ea2e9639
commit
6222d32e34
@ -125,31 +125,9 @@ namespace netgen
|
||||
}
|
||||
|
||||
|
||||
#define NEWJS
|
||||
void ExtrusionFace :: CalcProj(const Point<3> & point3d, Point<2> & point2d,
|
||||
int & seg, double & t) const
|
||||
{
|
||||
#ifdef NEWJS
|
||||
// JS Version
|
||||
double mindist = 0;
|
||||
for (int i = 0; i < path->GetNSplines(); i++)
|
||||
{
|
||||
Point<2> hpoint2d;
|
||||
double ht = CalcProj (point3d, hpoint2d, i);
|
||||
double hdist = Dist2(point3d, p0[i]);
|
||||
if (i == 0 || hdist < mindist)
|
||||
{
|
||||
seg = i;
|
||||
t = ht;
|
||||
mindist = hdist;
|
||||
point2d = hpoint2d;
|
||||
latest_seg = i;
|
||||
}
|
||||
}
|
||||
return;
|
||||
#endif
|
||||
|
||||
#ifdef OLDWM
|
||||
if (Dist2 (point3d, latest_point3d) <
|
||||
1e-25 * Dist2(path->GetSpline(0).StartPI(), path->GetSpline(0).EndPI()))
|
||||
{
|
||||
@ -176,6 +154,8 @@ namespace netgen
|
||||
Point<3> startp(path->GetSpline(i).StartPI());
|
||||
Point<3> endp(path->GetSpline(i).EndPI());
|
||||
Point<3> tanp(spline3_path[i]->TangentPoint());
|
||||
|
||||
/*
|
||||
double da,db,dc;
|
||||
|
||||
Vec<3> dir = endp-startp;
|
||||
@ -212,15 +192,28 @@ namespace netgen
|
||||
else
|
||||
dc = sqrt(topoint.Length2() - s*s);
|
||||
|
||||
|
||||
// da = sqrt (MinDistLP2 (startp, endp, point3d));
|
||||
// db = sqrt (MinDistLP2 (startp, tanp, point3d));
|
||||
// dc = sqrt (MinDistLP2 (endp, tanp, point3d));
|
||||
|
||||
auxmin = min3(da,db,dc);
|
||||
|
||||
if(da > db && da > dc)
|
||||
auxcut = da;
|
||||
else
|
||||
auxcut = max2(da,min2(db,dc));
|
||||
*/
|
||||
|
||||
auxmin = min3(da,db,dc);
|
||||
// lower bound for dist
|
||||
auxmin = sqrt (MinDistTP2 (startp, endp, tanp, point3d));
|
||||
|
||||
// upper bound for dist
|
||||
auxcut = min2 (Dist (startp, point3d), Dist (endp, point3d));
|
||||
}
|
||||
else if(line_path[i])
|
||||
{
|
||||
/*
|
||||
double l;
|
||||
Vec<3> dir = path->GetSpline(i).EndPI() - path->GetSpline(i).StartPI();
|
||||
l = dir.Length(); dir *= 1./l;
|
||||
@ -228,23 +221,22 @@ namespace netgen
|
||||
double s = topoint * dir;
|
||||
if(s<=0)
|
||||
auxcut = topoint.Length();
|
||||
else if(s>=l)
|
||||
else if(s>=l)
|
||||
auxcut = Dist(path->GetSpline(i).EndPI(),point3d);
|
||||
else
|
||||
auxcut = sqrt(topoint.Length2() - s*s);
|
||||
|
||||
auxmin = auxcut;
|
||||
*/
|
||||
auxmin = auxcut = sqrt (MinDistLP2 (path->GetSpline(i).StartPI(),
|
||||
path->GetSpline(i).EndPI(),
|
||||
point3d));
|
||||
}
|
||||
|
||||
|
||||
mindist[i] = auxmin;
|
||||
|
||||
if(i==0 || auxcut < cutdist)
|
||||
cutdist = auxcut;
|
||||
|
||||
|
||||
|
||||
|
||||
/*
|
||||
double d1 = Dist2(point3d,path.GetSpline(i).StartPI());
|
||||
double d2 = Dist2(point3d,path.GetSpline(i).EndPI());
|
||||
@ -278,7 +270,6 @@ namespace netgen
|
||||
for(int i=0; i<path->GetNSplines(); i++)
|
||||
{
|
||||
if(mindist[i] > cutdist) continue;
|
||||
//(*testout) << i << " ";
|
||||
|
||||
double thist = CalcProj(point3d,testpoint2d,i);
|
||||
testpoint3d = p0[i] + testpoint2d(0)*x_dir[i] + testpoint2d(1)*loc_z_dir[i];
|
||||
@ -300,7 +291,6 @@ namespace netgen
|
||||
}
|
||||
//(*testout) << endl;
|
||||
//(*testout) << " t " << t << endl;
|
||||
#endif
|
||||
}
|
||||
|
||||
double ExtrusionFace :: CalcProj(const Point<3> & point3d, Point<2> & point2d,
|
||||
@ -335,6 +325,8 @@ namespace netgen
|
||||
return t;
|
||||
}
|
||||
|
||||
|
||||
|
||||
double ExtrusionFace :: CalcFunctionValue (const Point<3> & point) const
|
||||
{
|
||||
Point<2> p;
|
||||
@ -342,60 +334,58 @@ namespace netgen
|
||||
double dummyd;
|
||||
int dummyi;
|
||||
|
||||
CalcProj(point,p,dummyi,dummyd);
|
||||
//(*testout) << "spline " << dummyi << " t " << dummyd << endl;
|
||||
CalcProj(point, p, dummyi, dummyd);
|
||||
|
||||
return profile_spline_coeff(0)*p(0)*p(0) + profile_spline_coeff(1)*p(1)*p(1)
|
||||
+ profile_spline_coeff(2)*p(0)*p(1) + profile_spline_coeff(3)*p(0)
|
||||
+ profile_spline_coeff(4)*p(1) + profile_spline_coeff(5);
|
||||
return
|
||||
profile_spline_coeff(0)*p(0)*p(0) +
|
||||
profile_spline_coeff(1)*p(1)*p(1) +
|
||||
profile_spline_coeff(2)*p(0)*p(1) +
|
||||
profile_spline_coeff(3)*p(0) +
|
||||
profile_spline_coeff(4)*p(1) +
|
||||
profile_spline_coeff(5);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
void ExtrusionFace :: CalcGradient (const Point<3> & point, Vec<3> & grad) const
|
||||
{
|
||||
int i;
|
||||
Point<2> p2d;
|
||||
|
||||
double t_path;
|
||||
int seg;
|
||||
CalcProj(point,p2d,seg,t_path);
|
||||
CalcProj (point, p2d, seg, t_path);
|
||||
|
||||
Point<3> phi;
|
||||
Vec<3> phip,phipp,phi_minus_point;
|
||||
|
||||
path->GetSpline(seg).GetDerivatives(t_path,phi,phip,phipp);
|
||||
Vec<3> phip, phipp, phi_minus_point;
|
||||
|
||||
path->GetSpline(seg).GetDerivatives(t_path, phi, phip, phipp);
|
||||
phi_minus_point = phi-point;
|
||||
|
||||
Vec<3> grad_t = phip;
|
||||
|
||||
double facA = phipp*phi_minus_point + phip*phip;
|
||||
Vec<3> grad_t = (1.0/(phipp*phi_minus_point + phip*phip)) * phip;
|
||||
|
||||
grad_t *= 1./facA;
|
||||
Vec<3> dphi_dX[3];
|
||||
Vec<3> dy_dir_dX[3];
|
||||
Vec<3> dx_dir_dX[3];
|
||||
|
||||
Array < Vec<3> > dphi_dX(3);
|
||||
|
||||
for(i=0; i<3; i++)
|
||||
for(int i = 0; i < 3; i++)
|
||||
dphi_dX[i] = grad_t(i)*phip;
|
||||
|
||||
Array < Vec<3> > dy_dir_dX(3);
|
||||
|
||||
double lphip = phip.Length();
|
||||
Vec<3> dy_dir_dt = (1./lphip) * phipp - ((phip*phipp)/pow(lphip,3)) * phip;
|
||||
|
||||
dy_dir_dX[0] = dy_dir_dX[1] = dy_dir_dX[2] =
|
||||
(1./lphip) * phipp - ((phip*phipp)/pow(lphip,3)) * phip;
|
||||
Vec<3> dx_dir_dt = Cross(dy_dir_dt,z_dir[seg]);
|
||||
|
||||
for(i=0; i<3; i++)
|
||||
dy_dir_dX[i] *= grad_t(i);
|
||||
for(int i = 0; i < 3; i++)
|
||||
dy_dir_dX[i] = grad_t(i) * dy_dir_dt;
|
||||
for(int i = 0; i < 3; i++)
|
||||
dx_dir_dX[i] = grad_t(i) * dx_dir_dt;
|
||||
|
||||
Array < Vec<3> > dx_dir_dX(3);
|
||||
|
||||
for(i=0; i<3; i++)
|
||||
dx_dir_dX[i] = Cross(dy_dir_dX[i],z_dir[seg]);
|
||||
|
||||
Vec<3> grad_xbar;
|
||||
|
||||
for(i=0; i<3; i++)
|
||||
for(int i=0; i<3; i++)
|
||||
grad_xbar(i) = -1.*(phi_minus_point * dx_dir_dX[i]) + x_dir[seg](i) - x_dir[seg] * dphi_dX[i];
|
||||
|
||||
double zy = z_dir[seg]*y_dir[seg];
|
||||
@ -403,20 +393,81 @@ namespace netgen
|
||||
Vec<3> grad_ybar;
|
||||
Vec<3> aux = z_dir[seg] - zy*y_dir[seg];
|
||||
|
||||
for(i=0; i<3; i++)
|
||||
for(int i=0; i<3; i++)
|
||||
grad_ybar(i) = ( (z_dir[seg]*dy_dir_dX[i])*y_dir[seg] + zy*dy_dir_dX[i] ) * phi_minus_point +
|
||||
aux[i] -
|
||||
aux * dphi_dX[i];
|
||||
|
||||
|
||||
const double dFdxbar = 2.*profile_spline_coeff(0)*p2d(0) +
|
||||
double dFdxbar = 2.*profile_spline_coeff(0)*p2d(0) +
|
||||
profile_spline_coeff(2)*p2d(1) + profile_spline_coeff(3);
|
||||
|
||||
const double dFdybar = 2.*profile_spline_coeff(1)*p2d(1) +
|
||||
double dFdybar = 2.*profile_spline_coeff(1)*p2d(1) +
|
||||
profile_spline_coeff(2)*p2d(0) + profile_spline_coeff(4);
|
||||
|
||||
|
||||
grad = dFdxbar * grad_xbar + dFdybar * grad_ybar;
|
||||
|
||||
|
||||
/*
|
||||
{
|
||||
cout << "grad_xbar = " << grad_xbar << endl;
|
||||
cout << "grad_ybar = " << grad_ybar << endl;
|
||||
Vec<3> numgradx, numgrady;
|
||||
|
||||
for (int i = 0; i < 3; i++)
|
||||
{
|
||||
Point<3> hpl = point, hpr = point;
|
||||
hpl(i) -= 1e-6; hpr(i) += 1e-6;
|
||||
|
||||
Point<2> p2dl, p2dr;
|
||||
CalcProj (hpl, p2dl, seg, t_path);
|
||||
CalcProj (hpr, p2dr, seg, t_path);
|
||||
|
||||
|
||||
numgradx(i) = (p2dr(0)-p2dl(0)) / (2e-6);
|
||||
numgrady(i) = (p2dr(1)-p2dl(1)) / (2e-6);
|
||||
}
|
||||
cout << "num grad_xbar" << numgradx << endl;
|
||||
cout << "num grad_ybar" << numgrady << endl;
|
||||
}
|
||||
|
||||
|
||||
{
|
||||
cout << "grad = " << grad << " =?= ";
|
||||
Vec<3> numgrad;
|
||||
|
||||
for (int i = 0; i < 3; i++)
|
||||
{
|
||||
Point<3> hpl = point;
|
||||
Point<3> hpr = point;
|
||||
hpl(i) -= 1e-6;
|
||||
hpr(i) += 1e-6;
|
||||
double vall = CalcFunctionValue (hpl);
|
||||
double valr = CalcFunctionValue (hpr);
|
||||
numgrad(i) = (valr - vall) / (2e-6);
|
||||
}
|
||||
|
||||
cout << " numgrad = " << numgrad << endl;
|
||||
|
||||
for (int i = 0; i < 3; i++)
|
||||
{
|
||||
Point<3> hpl = point;
|
||||
Point<3> hpr = point;
|
||||
hpl(i) -= 1e-4;
|
||||
hpr(i) += 1e-4;
|
||||
double vall = CalcFunctionValue (hpl);
|
||||
double valr = CalcFunctionValue (hpr);
|
||||
numgrad(i) = (valr - vall) / (2e-4);
|
||||
}
|
||||
|
||||
cout << " numgrad2 = " << numgrad << endl;
|
||||
}
|
||||
static int cnt = 0;
|
||||
cnt++;
|
||||
if (cnt == 10000)
|
||||
exit (0);
|
||||
*/
|
||||
}
|
||||
|
||||
void ExtrusionFace :: CalcHesse (const Point<3> & point, Mat<3> & hesse) const
|
||||
@ -534,7 +585,7 @@ namespace netgen
|
||||
//(*testout) << "box.Center() " << box.Center() << " projected " << center << " diam " << box.Diam()
|
||||
// << " dist " << Dist(box.Center(),center) << endl;
|
||||
|
||||
return (Dist(box.Center(),center) < 1*box.Diam());
|
||||
return (Dist(box.Center(),center) < 0.5*box.Diam());
|
||||
}
|
||||
|
||||
|
||||
|
||||
@ -16,8 +16,8 @@
|
||||
*/
|
||||
|
||||
|
||||
#undef DEVELOP
|
||||
//#define DEVELOP
|
||||
// #undef DEVELOP
|
||||
// #define DEVELOP
|
||||
|
||||
|
||||
namespace netgen
|
||||
|
||||
@ -36,164 +36,222 @@ namespace netgen
|
||||
|
||||
|
||||
|
||||
template<int D>
|
||||
void SplineSeg3<D> :: Project (const Point<D> point, Point<D> & point_on_curve, double & t) const
|
||||
{
|
||||
double t_old = -1;
|
||||
template<int D>
|
||||
void SplineSeg3<D> :: Project (const Point<D> point, Point<D> & point_on_curve, double & t) const
|
||||
{
|
||||
double t_old = -1;
|
||||
|
||||
if(proj_latest_t > 0. && proj_latest_t < 1.)
|
||||
t = proj_latest_t;
|
||||
else
|
||||
t = 0.5;
|
||||
if(proj_latest_t > 0. && proj_latest_t < 1.)
|
||||
t = proj_latest_t;
|
||||
else
|
||||
t = 0.5;
|
||||
|
||||
Point<D> phi;
|
||||
Vec<D> phip,phipp,phimp;
|
||||
Point<D> phi;
|
||||
Vec<D> phip,phipp,phimp;
|
||||
|
||||
int i=0;
|
||||
int i=0;
|
||||
|
||||
while(t > -0.5 && t < 1.5 && i<20 && fabs(t-t_old) > 1e-15 )
|
||||
{
|
||||
GetDerivatives(t,phi,phip,phipp);
|
||||
while(t > -0.5 && t < 1.5 && i<20 && fabs(t-t_old) > 1e-15 )
|
||||
{
|
||||
GetDerivatives(t,phi,phip,phipp);
|
||||
|
||||
t_old = t;
|
||||
t_old = t;
|
||||
|
||||
phimp = phi-point;
|
||||
phimp = phi-point;
|
||||
|
||||
//t = min2(max2(t-(phip*phimp)/(phipp*phimp + phip*phip),0.),1.);
|
||||
t -= (phip*phimp)/(phipp*phimp + phip*phip);
|
||||
//t = min2(max2(t-(phip*phimp)/(phipp*phimp + phip*phip),0.),1.);
|
||||
t -= (phip*phimp)/(phipp*phimp + phip*phip);
|
||||
|
||||
i++;
|
||||
}
|
||||
i++;
|
||||
}
|
||||
|
||||
//if(i<10 && t > 0. && t < 1.)
|
||||
if(i<20 && t > -0.4 && t < 1.4)
|
||||
{
|
||||
if(t < 0)
|
||||
{
|
||||
t = 0.;
|
||||
}
|
||||
if(t > 1)
|
||||
{
|
||||
t = 1.;
|
||||
}
|
||||
//if(i<10 && t > 0. && t < 1.)
|
||||
if(i<20 && t > -0.4 && t < 1.4)
|
||||
{
|
||||
if(t < 0)
|
||||
{
|
||||
t = 0.;
|
||||
}
|
||||
if(t > 1)
|
||||
{
|
||||
t = 1.;
|
||||
}
|
||||
|
||||
point_on_curve = SplineSeg3<D>::GetPoint(t);
|
||||
point_on_curve = SplineSeg3<D>::GetPoint(t);
|
||||
|
||||
double dist = Dist(point,point_on_curve);
|
||||
double dist = Dist(point,point_on_curve);
|
||||
|
||||
phi = SplineSeg3<D> ::GetPoint(0);
|
||||
double auxdist = Dist(phi,point);
|
||||
if(auxdist < dist)
|
||||
{
|
||||
t = 0.;
|
||||
point_on_curve = phi;
|
||||
dist = auxdist;
|
||||
}
|
||||
phi = SplineSeg3<D> ::GetPoint(1);
|
||||
auxdist = Dist(phi,point);
|
||||
if(auxdist < dist)
|
||||
{
|
||||
t = 1.;
|
||||
point_on_curve = phi;
|
||||
dist = auxdist;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
double t0 = 0;
|
||||
double t1 = 0.5;
|
||||
double t2 = 1.;
|
||||
phi = SplineSeg3<D> ::GetPoint(0);
|
||||
double auxdist = Dist(phi,point);
|
||||
if(auxdist < dist)
|
||||
{
|
||||
t = 0.;
|
||||
point_on_curve = phi;
|
||||
dist = auxdist;
|
||||
}
|
||||
phi = SplineSeg3<D> ::GetPoint(1);
|
||||
auxdist = Dist(phi,point);
|
||||
if(auxdist < dist)
|
||||
{
|
||||
t = 1.;
|
||||
point_on_curve = phi;
|
||||
dist = auxdist;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
double t0 = 0;
|
||||
double t1 = 0.5;
|
||||
double t2 = 1.;
|
||||
|
||||
double d0,d1,d2;
|
||||
double d0,d1,d2;
|
||||
|
||||
|
||||
//(*testout) << "newtonersatz" << endl;
|
||||
while(t2-t0 > 1e-8)
|
||||
{
|
||||
//(*testout) << "newtonersatz" << endl;
|
||||
while(t2-t0 > 1e-8)
|
||||
{
|
||||
|
||||
phi = SplineSeg3<D> ::GetPoint(t0); d0 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t1); d1 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t2); d2 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t0); d0 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t1); d1 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t2); d2 = Dist(phi,point);
|
||||
|
||||
double a = (2.*d0 - 4.*d1 +2.*d2)/pow(t2-t0,2);
|
||||
double a = (2.*d0 - 4.*d1 +2.*d2)/pow(t2-t0,2);
|
||||
|
||||
if(a <= 0)
|
||||
{
|
||||
if(d0 < d2)
|
||||
t2 -= 0.3*(t2-t0);
|
||||
else
|
||||
t0 += 0.3*(t2-t0);
|
||||
if(a <= 0)
|
||||
{
|
||||
if(d0 < d2)
|
||||
t2 -= 0.3*(t2-t0);
|
||||
else
|
||||
t0 += 0.3*(t2-t0);
|
||||
|
||||
t1 = 0.5*(t2+t0);
|
||||
}
|
||||
else
|
||||
{
|
||||
double b = (d1-d0-a*(t1*t1-t0*t0))/(t1-t0);
|
||||
t1 = 0.5*(t2+t0);
|
||||
}
|
||||
else
|
||||
{
|
||||
double b = (d1-d0-a*(t1*t1-t0*t0))/(t1-t0);
|
||||
|
||||
double auxt1 = -0.5*b/a;
|
||||
double auxt1 = -0.5*b/a;
|
||||
|
||||
if(auxt1 < t0)
|
||||
{
|
||||
t2 -= 0.4*(t2-t0);
|
||||
t0 = max2(0.,t0-0.1*(t2-t0));
|
||||
}
|
||||
else if (auxt1 > t2)
|
||||
{
|
||||
t0 += 0.4*(t2-t0);
|
||||
t2 = min2(1.,t2+0.1*(t2-t0));
|
||||
}
|
||||
else
|
||||
{
|
||||
t1 = auxt1;
|
||||
auxt1 = 0.25*(t2-t0);
|
||||
t0 = max2(0.,t1-auxt1);
|
||||
t2 = min2(1.,t1+auxt1);
|
||||
}
|
||||
if(auxt1 < t0)
|
||||
{
|
||||
t2 -= 0.4*(t2-t0);
|
||||
t0 = max2(0.,t0-0.1*(t2-t0));
|
||||
}
|
||||
else if (auxt1 > t2)
|
||||
{
|
||||
t0 += 0.4*(t2-t0);
|
||||
t2 = min2(1.,t2+0.1*(t2-t0));
|
||||
}
|
||||
else
|
||||
{
|
||||
t1 = auxt1;
|
||||
auxt1 = 0.25*(t2-t0);
|
||||
t0 = max2(0.,t1-auxt1);
|
||||
t2 = min2(1.,t1+auxt1);
|
||||
}
|
||||
|
||||
t1 = 0.5*(t2+t0);
|
||||
}
|
||||
t1 = 0.5*(t2+t0);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
phi = SplineSeg3<D> ::GetPoint(t0); d0 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t1); d1 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t2); d2 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t0); d0 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t1); d1 = Dist(phi,point);
|
||||
phi = SplineSeg3<D> ::GetPoint(t2); d2 = Dist(phi,point);
|
||||
|
||||
double mind = d0;
|
||||
t = t0;
|
||||
if(d1 < mind)
|
||||
{
|
||||
t = t1;
|
||||
mind = d1;
|
||||
}
|
||||
if(d2 < mind)
|
||||
{
|
||||
t = t2;
|
||||
mind = d2;
|
||||
}
|
||||
double mind = d0;
|
||||
t = t0;
|
||||
if(d1 < mind)
|
||||
{
|
||||
t = t1;
|
||||
mind = d1;
|
||||
}
|
||||
if(d2 < mind)
|
||||
{
|
||||
t = t2;
|
||||
mind = d2;
|
||||
}
|
||||
|
||||
point_on_curve = SplineSeg3<D> ::GetPoint(t);
|
||||
}
|
||||
//(*testout) << " latest_t " << proj_latest_t << " t " << t << endl;
|
||||
point_on_curve = SplineSeg3<D> ::GetPoint(t);
|
||||
}
|
||||
//(*testout) << " latest_t " << proj_latest_t << " t " << t << endl;
|
||||
|
||||
proj_latest_t = t;
|
||||
proj_latest_t = t;
|
||||
|
||||
/*
|
||||
/*
|
||||
// test it by trivial sampling
|
||||
double ht;
|
||||
Point<D> hp;
|
||||
ProjectTrivial (*this, point, hp, ht);
|
||||
if (fabs (t-ht) > 1e-3)
|
||||
double ht;
|
||||
Point<D> hp;
|
||||
ProjectTrivial (*this, point, hp, ht);
|
||||
if (fabs (t-ht) > 1e-3)
|
||||
{
|
||||
// if (Dist2 (point, hp) < Dist2 (point, point_on_curve))
|
||||
cout << "project is wrong" << endl;
|
||||
cout << "t = " << t << ", ht = " << ht << endl;
|
||||
cout << "dist org = " << Dist(point, point_on_curve) << endl;
|
||||
cout << "dist trivial = " << Dist(point, hp) << endl;
|
||||
// if (Dist2 (point, hp) < Dist2 (point, point_on_curve))
|
||||
cout << "project is wrong" << endl;
|
||||
cout << "t = " << t << ", ht = " << ht << endl;
|
||||
cout << "dist org = " << Dist(point, point_on_curve) << endl;
|
||||
cout << "dist trivial = " << Dist(point, hp) << endl;
|
||||
}
|
||||
*/
|
||||
}
|
||||
*/
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
template<int D>
|
||||
void SplineSeg3<D> :: GetDerivatives (const double t,
|
||||
Point<D> & point,
|
||||
Vec<D> & first,
|
||||
Vec<D> & second) const
|
||||
{
|
||||
Vec<D> v1(p1), v2(p2), v3(p3);
|
||||
|
||||
double b1 = (1.-t)*(1.-t);
|
||||
double b2 = sqrt(2.)*t*(1.-t);
|
||||
double b3 = t*t;
|
||||
double w = b1+b2+b3;
|
||||
b1 *= 1./w; b2 *= 1./w; b3 *= 1./w;
|
||||
|
||||
double b1p = 2.*(t-1.);
|
||||
double b2p = sqrt(2.)*(1.-2.*t);
|
||||
double b3p = 2.*t;
|
||||
const double wp = b1p+b2p+b3p;
|
||||
const double fac1 = wp/w;
|
||||
b1p *= 1./w; b2p *= 1./w; b3p *= 1./w;
|
||||
|
||||
const double b1pp = 2.;
|
||||
const double b2pp = -2.*sqrt(2.);
|
||||
const double b3pp = 2.;
|
||||
const double wpp = b1pp+b2pp+b3pp;
|
||||
const double fac2 = (wpp*w-2.*wp*wp)/(w*w);
|
||||
|
||||
for(int i=0; i<D; i++)
|
||||
point(i) = b1*p1(i) + b2*p2(i) + b3*p3(i);
|
||||
|
||||
|
||||
first = (b1p - b1*fac1) * v1 +
|
||||
(b2p - b2*fac1) * v2 +
|
||||
(b3p - b3*fac1) * v3;
|
||||
|
||||
/*
|
||||
second = (b1pp/w - b1p*fac1 - b1*fac2) * v1 +
|
||||
(b2pp/w - b2p*fac1 - b2*fac2) * v2 +
|
||||
(b3pp/w - b3p*fac1 - b3*fac2) * v3;
|
||||
*/
|
||||
// JS: 2 was missing
|
||||
second = (b1pp/w - 2*b1p*fac1 - b1*fac2) * v1 +
|
||||
(b2pp/w - 2*b2p*fac1 - b2*fac2) * v2 +
|
||||
(b3pp/w - 2*b3p*fac1 - b3*fac2) * v3;
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
template class SplineSeg3<2>;
|
||||
|
||||
@ -566,47 +566,6 @@ inline Point<D> SplineSeg3<D> :: GetPoint (double t) const
|
||||
|
||||
|
||||
|
||||
template<int D>
|
||||
void SplineSeg3<D> :: GetDerivatives (const double t,
|
||||
Point<D> & point,
|
||||
Vec<D> & first,
|
||||
Vec<D> & second) const
|
||||
{
|
||||
Vec<D> v1(p1), v2(p2), v3(p3);
|
||||
|
||||
double b1 = (1.-t)*(1.-t);
|
||||
double b2 = sqrt(2.)*t*(1.-t);
|
||||
double b3 = t*t;
|
||||
double w = b1+b2+b3;
|
||||
b1 *= 1./w; b2 *= 1./w; b3 *= 1./w;
|
||||
|
||||
double b1p = 2.*(t-1.);
|
||||
double b2p = sqrt(2.)*(1.-2.*t);
|
||||
double b3p = 2.*t;
|
||||
const double wp = b1p+b2p+b3p;
|
||||
const double fac1 = wp/w;
|
||||
b1p *= 1./w; b2p *= 1./w; b3p *= 1./w;
|
||||
|
||||
const double b1pp = 2.;
|
||||
const double b2pp = -2.*sqrt(2.);
|
||||
const double b3pp = 2.;
|
||||
const double wpp = b1pp+b2pp+b3pp;
|
||||
const double fac2 = (wpp*w-2.*wp*wp)/(w*w);
|
||||
|
||||
for(int i=0; i<D; i++)
|
||||
point(i) = b1*p1(i) + b2*p2(i) + b3*p3(i);
|
||||
|
||||
|
||||
first = (b1p - b1*fac1) * v1 +
|
||||
(b2p - b2*fac1) * v2 +
|
||||
(b3p - b3*fac1) * v3;
|
||||
|
||||
second = (b1pp/w - b1p*fac1 - b1*fac2) * v1 +
|
||||
(b2pp/w - b2p*fac1 - b2*fac2) * v2 +
|
||||
(b3pp/w - b3p*fac1 - b3*fac2) * v3;
|
||||
}
|
||||
|
||||
|
||||
|
||||
template<int D>
|
||||
Vec<D> SplineSeg3<D> :: GetTangent (const double t) const
|
||||
|
||||
@ -65,14 +65,17 @@ extern double ComputeCylinderRadius (const Point3d & p1, const Point3d & p2,
|
||||
extern double ComputeCylinderRadius (const Vec3d & n1, const Vec3d & n2,
|
||||
double h1, double h2);
|
||||
|
||||
|
||||
/// Minimal distance of point p to the line segment [lp1,lp2]
|
||||
extern double MinDistLP2 (const Point2d & lp1, const Point2d & lp2, const Point2d & p);
|
||||
|
||||
/// Minimal distance of point p to the line segment [lp1,lp2]
|
||||
extern double MinDistLP2 (const Point3d & lp1, const Point3d & lp2, const Point3d & p);
|
||||
|
||||
/// Minimal distance of point p to the triangle segment [tp1,tp2,pt3]
|
||||
extern double MinDistTP2 (const Point3d & tp1, const Point3d & tp2,
|
||||
const Point3d & tp3, const Point3d & p);
|
||||
|
||||
/// Minimal distance of the 2 lines [l1p1,l1p2] and [l2p1,l2p2]
|
||||
extern double MinDistLL2 (const Point3d & l1p1, const Point3d & l1p2,
|
||||
const Point3d & l2p1, const Point3d & l2p2);
|
||||
|
||||
|
||||
@ -443,3 +443,18 @@ extern "C" {
|
||||
DLL_HEADER int Ng_GetElementClosureNodes (int dim, int elementnr, int nodeset, int * nodes);
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
#ifdef __cplusplus
|
||||
#include <iostream>
|
||||
namespace netgen
|
||||
{
|
||||
DLL_HEADER extern std::ostream * testout;
|
||||
DLL_HEADER extern int printmessage_importance;
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user