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//file Hypr.lxx JCV/12/10/90
#include <gp.hxx>
#include <Standard_DomainError.hxx>
#include <Standard_ConstructionError.hxx>
inline gp_Hypr::gp_Hypr () :
majorRadius(RealLast()),
minorRadius(RealFirst())
{ }
inline gp_Hypr::gp_Hypr (const gp_Ax2& A2,
const Standard_Real MajorRadius,
const Standard_Real MinorRadius):
pos(A2),
majorRadius(MajorRadius),
minorRadius(MinorRadius)
{
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || MajorRadius < 0.0,"");
}
inline void gp_Hypr::SetAxis (const gp_Ax1& A1)
{ pos.SetAxis (A1); }
inline void gp_Hypr::SetLocation (const gp_Pnt& P)
{ pos = gp_Ax2 (P, pos.Direction(), pos.XDirection()); }
inline void gp_Hypr::SetMajorRadius (const Standard_Real R)
{
Standard_ConstructionError_Raise_if(R < 0.0,"");
majorRadius = R;
}
inline void gp_Hypr::SetMinorRadius (const Standard_Real R)
{
Standard_ConstructionError_Raise_if(R < 0.0,"");
minorRadius = R;
}
inline void gp_Hypr::SetPosition (const gp_Ax2& A2)
{ pos = A2; }
inline gp_Ax1 gp_Hypr::Asymptote1 () const
{
Standard_ConstructionError_Raise_if
(majorRadius <= gp::Resolution(), "");
gp_Vec V1 = gp_Vec (pos.YDirection());
V1.Multiply (minorRadius / majorRadius);
gp_Vec V = gp_Vec (pos.XDirection());
V.Add (V1);
return gp_Ax1(pos.Location(), gp_Dir(V));
}
inline gp_Ax1 gp_Hypr::Asymptote2 () const
{
Standard_ConstructionError_Raise_if (majorRadius <= gp::Resolution(), "");
gp_Vec V1 = gp_Vec (pos.YDirection());
V1.Multiply (-minorRadius / majorRadius);
gp_Vec V = gp_Vec (pos.XDirection());
V.Add (V1);
return gp_Ax1( pos.Location(), gp_Dir(V));
}
inline const gp_Ax1& gp_Hypr::Axis () const
{ return pos.Axis(); }
inline gp_Hypr gp_Hypr::ConjugateBranch1 () const
{
return gp_Hypr (gp_Ax2(pos.Location(), pos.Direction(), pos.YDirection()),
minorRadius,
majorRadius);
}
inline gp_Hypr gp_Hypr::ConjugateBranch2 () const
{
gp_Dir D = pos.YDirection();
D.Reverse ();
return gp_Hypr (gp_Ax2(pos.Location(), pos.Direction(), D),
minorRadius,
majorRadius);
}
inline gp_Ax1 gp_Hypr::Directrix1 () const
{
Standard_Real E = Eccentricity();
gp_XYZ Orig = pos.XDirection().XYZ();
Orig.Multiply (majorRadius/E);
Orig.Add (pos.Location().XYZ());
return gp_Ax1 (gp_Pnt(Orig), pos.YDirection());
}
inline gp_Ax1 gp_Hypr::Directrix2 () const
{
Standard_Real E = Eccentricity();
gp_XYZ Orig = pos.XDirection().XYZ();
Orig.Multiply (-majorRadius/E);
Orig.Add (pos.Location().XYZ());
return gp_Ax1 (gp_Pnt(Orig), pos.YDirection());
}
inline Standard_Real gp_Hypr::Eccentricity () const
{
Standard_DomainError_Raise_if (majorRadius <= gp::Resolution(), "");
return sqrt(majorRadius * majorRadius +
minorRadius * minorRadius) / majorRadius;
}
inline Standard_Real gp_Hypr::Focal () const
{
return 2.0 * sqrt(majorRadius * majorRadius +
minorRadius * minorRadius);
}
inline gp_Pnt gp_Hypr::Focus1 () const
{
Standard_Real C = sqrt(majorRadius * majorRadius +
minorRadius * minorRadius);
const gp_Pnt& PP = pos.Location ();
const gp_Dir& DD = pos.XDirection();
return gp_Pnt (PP.X() + C * DD.X(),
PP.Y() + C * DD.Y(),
PP.Z() + C * DD.Z());
}
inline gp_Pnt gp_Hypr::Focus2 () const
{
Standard_Real C = sqrt(majorRadius * majorRadius +
minorRadius * minorRadius);
const gp_Pnt& PP = pos.Location ();
const gp_Dir& DD = pos.XDirection();
return gp_Pnt (PP.X() - C * DD.X(),
PP.Y() - C * DD.Y(),
PP.Z() - C * DD.Z());
}
inline const gp_Pnt& gp_Hypr::Location () const
{ return pos.Location(); }
inline Standard_Real gp_Hypr::MajorRadius() const
{ return majorRadius; }
inline Standard_Real gp_Hypr::MinorRadius() const
{ return minorRadius; }
inline gp_Hypr gp_Hypr::OtherBranch () const
{
gp_Dir D = pos.XDirection ();
D.Reverse ();
return gp_Hypr (gp_Ax2(pos.Location(), pos.Direction(), D),
majorRadius, minorRadius);
}
inline Standard_Real gp_Hypr::Parameter() const
{
Standard_DomainError_Raise_if (majorRadius <= gp::Resolution(), "");
return (minorRadius * minorRadius) / majorRadius;
}
inline const gp_Ax2& gp_Hypr::Position() const
{ return pos; }
inline gp_Ax1 gp_Hypr::XAxis () const
{return gp_Ax1 (pos.Location(), pos.XDirection());}
inline gp_Ax1 gp_Hypr::YAxis () const
{return gp_Ax1 (pos.Location(), pos.YDirection());}
inline void gp_Hypr::Rotate (const gp_Ax1& A1,
const Standard_Real Ang)
{ pos.Rotate(A1, Ang); }
inline gp_Hypr gp_Hypr::Rotated (const gp_Ax1& A1,
const Standard_Real Ang) const
{
gp_Hypr H = *this;
H.pos.Rotate(A1, Ang);
return H;
}
inline void gp_Hypr::Scale (const gp_Pnt& P,
const Standard_Real S)
{
majorRadius *= S;
if (majorRadius < 0) majorRadius = - majorRadius;
minorRadius *= S;
if (minorRadius < 0) minorRadius = - minorRadius;
pos.Scale(P, S);
}
inline gp_Hypr gp_Hypr::Scaled (const gp_Pnt& P,
const Standard_Real S) const
{
gp_Hypr H = *this;
H.majorRadius *= S;
if (H.majorRadius < 0) H.majorRadius = - H.majorRadius;
H.minorRadius *= S;
if (H.minorRadius < 0) H.minorRadius = - H.minorRadius;
H.pos.Scale(P, S);
return H;
}
inline void gp_Hypr::Transform (const gp_Trsf& T)
{
majorRadius *= T.ScaleFactor();
if (majorRadius < 0) majorRadius = - majorRadius;
minorRadius *= T.ScaleFactor();
if (minorRadius < 0) minorRadius = - minorRadius;
pos.Transform(T);
}
inline gp_Hypr gp_Hypr::Transformed (const gp_Trsf& T) const
{
gp_Hypr H = *this;
H.majorRadius *= T.ScaleFactor();
if (H.majorRadius < 0) H.majorRadius = - H.majorRadius;
H.minorRadius *= T.ScaleFactor();
if (H.minorRadius < 0) H.minorRadius = - H.minorRadius;
H.pos.Transform(T);
return H;
}
inline void gp_Hypr::Translate (const gp_Vec& V)
{ pos.Translate(V); }
inline gp_Hypr gp_Hypr::Translated (const gp_Vec& V) const
{
gp_Hypr H = *this;
H.pos.Translate(V);
return H;
}
inline void gp_Hypr::Translate (const gp_Pnt& P1,
const gp_Pnt& P2)
{pos.Translate(P1,P2);}
inline gp_Hypr gp_Hypr::Translated (const gp_Pnt& P1,
const gp_Pnt& P2) const
{
gp_Hypr H = *this;
H.pos.Translate(P1, P2);
return H;
}
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