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// File: AppParCurves_Variational_9.gxx
// Created: Fri Feb 19 11:09:11 1999
// Author: Sergey KHROMOV
// <skv@pronox.nnov.matra-dtv.fr>
static Standard_Boolean NotParallel(gp_Vec& T, gp_Vec& V)
{
V = T;
V.SetX(V.X() + 1.);
if (V.CrossMagnitude(T) > 1.e-12)
return Standard_True;
V.SetY(V.Y() + 1.);
if (V.CrossMagnitude(T) > 1.e-12)
return Standard_True;
V.SetZ(V.Z() + 1.);
if (V.CrossMagnitude(T) > 1.e-12)
return Standard_True;
return Standard_False;
}
Standard_Boolean AppParCurves_Variational::InitTthetaF(const Standard_Integer ndimen,
const AppParCurves_Constraint typcon,
const Standard_Integer begin,
const Standard_Integer jndex)
{
if ((ndimen < 2)||(ndimen >3))
return Standard_False;
gp_Vec T, V;
gp_Vec theta1, theta2;
gp_Vec F;
Standard_Real XX, XY, YY, XZ, YZ, ZZ;
if ((typcon == AppParCurves_TangencyPoint)||(typcon == AppParCurves_CurvaturePoint))
{
T.SetX(myTabConstraints->Value(jndex));
T.SetY(myTabConstraints->Value(jndex + 1));
if (ndimen == 3)
T.SetZ(myTabConstraints->Value(jndex + 2));
else
T.SetZ(0.);
if (ndimen == 2)
{
V.SetX(0.);
V.SetY(0.);
V.SetZ(1.);
}
if (ndimen == 3)
if (!NotParallel(T, V))
return Standard_False;
theta1 = V ^ T;
theta1.Normalize();
myTtheta->SetValue(begin, theta1.X());
myTtheta->SetValue(begin + 1, theta1.Y());
if (ndimen == 3)
{
theta2 = T ^ theta1;
theta2.Normalize();
myTtheta->SetValue(begin + 2, theta1.Z());
myTtheta->SetValue(begin + 3, theta2.X());
myTtheta->SetValue(begin + 4, theta2.Y());
myTtheta->SetValue(begin + 5, theta2.Z());
}
// Calculation of myTfthet
if (typcon == AppParCurves_CurvaturePoint)
{
XX = Pow(T.X(), 2);
XY = T.X() * T.Y();
YY = Pow(T.Y(), 2);
if (ndimen == 2)
{
F.SetX(YY * theta1.X() - XY * theta1.Y());
F.SetY(XX * theta1.Y() - XY * theta1.X());
myTfthet->SetValue(begin, F.X());
myTfthet->SetValue(begin + 1, F.Y());
}
if (ndimen == 3)
{
XZ = T.X() * T.Z();
YZ = T.Y() * T.Z();
ZZ = Pow(T.Z(), 2);
F.SetX((ZZ + YY) * theta1.X() - XY * theta1.Y() - XZ * theta1.Z());
F.SetY((XX + ZZ) * theta1.Y() - XY * theta1.X() - YZ * theta1.Z());
F.SetZ((XX + YY) * theta1.Z() - XZ * theta1.X() - YZ * theta1.Y());
myTfthet->SetValue(begin, F.X());
myTfthet->SetValue(begin + 1, F.Y());
myTfthet->SetValue(begin + 2, F.Z());
F.SetX((ZZ + YY) * theta2.X() - XY * theta2.Y() - XZ * theta2.Z());
F.SetY((XX + ZZ) * theta2.Y() - XY * theta2.X() - YZ * theta2.Z());
F.SetZ((XX + YY) * theta2.Z() - XZ * theta2.X() - YZ * theta2.Y());
myTfthet->SetValue(begin + 3, F.X());
myTfthet->SetValue(begin + 4, F.Y());
myTfthet->SetValue(begin + 5, F.Z());
}
}
}
return Standard_True;
}
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