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Merge branch 'pointoutofquad' into 'master'
point out of quad fix Now the error "point out of domain" does not appear any more, but the values are wrong. [pointoutofquad.py](/uploads/91e142ab369491ac5a4e4a8d9c93d671/pointoutofquad.py) See merge request !28
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@ -4299,7 +4299,6 @@ namespace netgen
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//SZ
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if(SurfaceElement(element).GetType()==QUAD)
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{
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//cout << "check quad element" << endl;
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const Element2d & el = SurfaceElement(element);
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const Point3d & p1 = Point(el.PNum(1));
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@ -4314,6 +4313,7 @@ namespace netgen
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Vec3d c = p4 - a;
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Vec3d d = p3 - a - b - c;
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double dxb = d.X()*b.Y()-d.Y()*b.X();
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double dxc = d.X()*c.Y()-d.Y()*c.X();
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double dxa = d.X()*a.Y()-d.Y()*a.X();
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@ -4329,16 +4329,19 @@ namespace netgen
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double d1 = dp13.Length2();
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double d2 = dp24.Length2();
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// if(fabs(d.X()) <= eps && fabs(d.Y())<= eps)
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// if(fabs(d.X()) <= eps && fabs(d.Y())<= eps)
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//if (d.Length2() < sqr(eps))
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if (d.Length2() < sqr(eps)*d1 && d.Length2() < sqr(eps)*d2)
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{
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//Solve Linear System
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Vec2d sol;
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Vec2d sol;
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SolveLinearSystemLS (b, c, p-a, sol);
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lami[0] = sol.X();
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lami[1] = sol.Y();
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if(lami[1]<=1.+eps && lami[1]>=0.-eps && lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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/*
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lami[0]=(c.Y()*(p.X()-a.X())-c.X()*(p.Y()-a.Y()))/
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(b.X()*c.Y() -b.Y()*c.X());
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@ -4347,66 +4350,103 @@ namespace netgen
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*/
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}
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else
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//if(fabs(dxb) <= eps)
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if(fabs(dxb) <= eps*fabs(dxc))
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if(fabs(dxb) <= eps*fabs(dxc))
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{
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lami[1] = (dxp-dxa)/dxc;
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//if(fabs(b.X()-d.X()*lami[1])>=eps)
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if(fabs(b.X()+d.X()*lami[1])>=fabs(b.Y()+d.Y()*lami[1]))
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if(fabs(b.X()+d.X()*lami[1])>=fabs(b.Y()+d.Y()*lami[1]))
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lami[0] = (p.X()-a.X() - c.X()*lami[1])/(b.X()+d.X()*lami[1]);
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else
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lami[0] = (p.Y()-a.Y() - c.Y()*lami[1])/(b.Y()+d.Y()*lami[1]);
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if(lami[1]<=1.+eps && lami[1]>=0.-eps && lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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else
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//if(fabs(dxc) <= eps)
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if(fabs(dxc) <= eps*fabs(dxb))
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if(fabs(dxc) <= eps*fabs(dxb))
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{
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lami[0] = (dxp-dxa)/dxb;
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//if(fabs(c.X()-d.X()*lami[0])>=eps)
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if(fabs(c.X()+d.X()*lami[0])>=fabs(c.Y()+d.Y()*lami[0]))
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if(fabs(c.X()+d.X()*lami[0])>=fabs(c.Y()+d.Y()*lami[0]))
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lami[1] = (p.X()-a.X() - b.X()*lami[0])/(c.X()+d.X()*lami[0]);
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else
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lami[1] = (p.Y()-a.Y() - b.Y()*lami[0])/(c.Y()+d.Y()*lami[0]);
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if(lami[1]<=1.+eps && lami[1]>=0.-eps && lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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else //Solve quadratic equation
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{
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//if(fabs(d.X()) >= eps)
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if(fabs(d.X()) >= fabs(d.Y()))
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{
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c2 = d.X()*dxc;
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//c1 = d.X()*dxc - c.X()*dxb - d.X()*(dxp-dxa);
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c1 = b.X()*dxc - c.X()*dxb - d.X()*(dxp-dxa);
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c0 = -b.X()*(dxp -dxa) - (a.X()-p.X())*dxb;
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}
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else
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{
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c2 = d.Y()*dxc;
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//c1 = d.Y()*dxc - c.Y()*dxb - d.Y()*(dxp-dxa);
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c1 = b.Y()*dxc - c.Y()*dxb - d.Y()*(dxp-dxa);
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c0 = -b.Y()*(dxp -dxa) - (a.Y()-p.Y())*dxb;
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}
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c2 = -d.X()*dxb;
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c1 = b.X()*dxc - c.X()*dxb + d.X()*(dxp-dxa);
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c0 = c.X()*(dxp-dxa) + (a.X()-p.X())*dxc;
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double rt = c1*c1 - 4*c2*c0;
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double rt = c1*c1 - 4*c2*c0;
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if (rt < 0.) return false;
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lami[1] = (-c1 + sqrt(rt))/2/c2;
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if (rt < 0.) return false;
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lami[1] = (-c1 + sqrt(rt))/2/c2;
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if(lami[1]<=1.+eps && lami[1]>=0.-eps)
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{
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lami[0] = (dxp - dxa -dxc*lami[1])/dxb;
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{
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lami[0] = (dxp - dxa -dxb*lami[1])/dxc;
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if(lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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lami[1] = (-c1 - sqrt(rt))/2/c2;
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lami[0] = (dxp - dxa -dxb*lami[1])/dxc;
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if(lami[1]<=1.+eps && lami[1]>=0.-eps && lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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c2 = d.Y()*dxb;
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c1 = b.Y()*dxc - c.Y()*dxb + d.Y()*(dxp-dxa);
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c0 = c.Y()*(dxp -dxa) + (a.Y()-p.Y())*dxc;
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rt = c1*c1 - 4*c2*c0;
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if (rt < 0.) return false;
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lami[1] = (-c1 + sqrt(rt))/2/c2;
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if(lami[1]<=1.+eps && lami[1]>=0.-eps)
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{
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lami[0] = (dxp - dxa -dxb*lami[1])/dxc;
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if(lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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lami[1] = (-c1 - sqrt(rt))/2/c2;
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lami[0] = (dxp - dxa -dxb*lami[1])/dxc;
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if(lami[1]<=1.+eps && lami[1]>=0.-eps && lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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c2 = -d.X()*dxc;
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c1 = -b.X()*dxc + c.X()*dxb + d.X()*(dxp-dxa);
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c0 = b.X()*(dxp -dxa) + (a.X()-p.X())*dxb;
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rt = c1*c1 - 4*c2*c0;
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if (rt < 0.) return false;
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lami[1] = (-c1 + sqrt(rt))/2/c2;
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if(lami[1]<=1.+eps && lami[1]>=0.-eps)
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{
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lami[0] = (dxp - dxa -dxc*lami[1])/dxb;
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if(lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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lami[1] = (-c1 - sqrt(rt))/2/c2;
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lami[0] = (dxp - dxa -dxc*lami[1])/dxb;
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if(lami[1]<=1.+eps && lami[1]>=0.-eps && lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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if(lami[0]<=1.+eps && lami[0]>=0.-eps)
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return true;
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}
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lami[1] = (-c1 - sqrt(rt))/2/c2;
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lami[0] = (dxp - dxa -dxc*lami[1])/dxb;
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}
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//cout << "lam0,1 = " << lami[0] << ", " << lami[1] << endl;
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if( lami[0] <= 1.+eps && lami[0] >= -eps && lami[1]<=1.+eps && lami[1]>=-eps)
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/*if( lami[0] <= 1.+eps && lami[0] >= -eps && lami[1]<=1.+eps && lami[1]>=-eps)
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{
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if(consider3D)
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{
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@ -4419,7 +4459,7 @@ namespace netgen
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}
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else
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return true;
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}
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}*/
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return false;
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