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//File gp_Elips2d.lxx
#include <gp_Trsf2d.hxx>
#include <gp.hxx>
#include <Standard_ConstructionError.hxx>
inline gp_Elips2d::gp_Elips2d() :
majorRadius(RealLast()),
minorRadius(RealSmall())
{ }
inline gp_Elips2d::gp_Elips2d (const gp_Ax2d& MajorAxis,
const Standard_Real MajorRadius,
const Standard_Real MinorRadius,
const Standard_Boolean Sense) :
majorRadius(MajorRadius),
minorRadius(MinorRadius)
{
pos = gp_Ax22d(MajorAxis,Sense);
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || MajorRadius < MinorRadius,"");
}
inline gp_Elips2d::gp_Elips2d (const gp_Ax22d& A,
const Standard_Real MajorRadius,
const Standard_Real MinorRadius) :
pos(A),
majorRadius(MajorRadius),
minorRadius(MinorRadius)
{
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || MajorRadius < MinorRadius,"");
}
inline void gp_Elips2d::SetLocation (const gp_Pnt2d& P)
{ pos.SetLocation(P);}
inline void gp_Elips2d::SetMajorRadius (const Standard_Real MajorRadius)
{
Standard_ConstructionError_Raise_if(MajorRadius < minorRadius,"");
majorRadius = MajorRadius;
}
inline void gp_Elips2d::SetMinorRadius (const Standard_Real MinorRadius)
{
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || majorRadius < MinorRadius,"");
minorRadius = MinorRadius;
}
inline void gp_Elips2d::SetXAxis (const gp_Ax2d& A)
{ pos.SetXAxis(A); }
inline void gp_Elips2d::SetAxis (const gp_Ax22d& A)
{ pos.SetAxis(A); }
inline void gp_Elips2d::SetYAxis (const gp_Ax2d& A)
{ pos.SetYAxis(A); }
inline Standard_Real gp_Elips2d::Area() const
{ return Standard_PI * majorRadius * minorRadius; }
inline gp_Ax2d gp_Elips2d::Directrix1() const
{
Standard_Real E = Eccentricity();
Standard_ConstructionError_Raise_if (E <= gp::Resolution(), "");
gp_XY Orig = pos.XDirection().XY();
Orig.Multiply (majorRadius/E);
Orig.Add (pos.Location().XY());
return gp_Ax2d (gp_Pnt2d(Orig),gp_Dir2d (pos.YDirection()));
}
inline gp_Ax2d gp_Elips2d::Directrix2() const
{
Standard_Real E = Eccentricity();
Standard_ConstructionError_Raise_if (E <= gp::Resolution(), "");
gp_XY Orig = pos.XDirection().XY();
Orig.Multiply (-majorRadius/E);
Orig.Add (pos.Location().XY());
return gp_Ax2d (gp_Pnt2d(Orig),gp_Dir2d (pos.YDirection()));
}
inline Standard_Real gp_Elips2d::Eccentricity() const
{
if (majorRadius == 0.0) { return 0.0; }
else {
return sqrt(majorRadius * majorRadius -
minorRadius * minorRadius) / majorRadius;
}
}
inline Standard_Real gp_Elips2d::Focal() const
{
return 2.0 * sqrt(majorRadius * majorRadius -
minorRadius * minorRadius);
}
inline gp_Pnt2d gp_Elips2d::Focus1() const
{
Standard_Real C = sqrt(majorRadius * majorRadius -
minorRadius * minorRadius);
const gp_Pnt2d& PP = pos.Location ();
const gp_Dir2d& DD = pos.XDirection();
return gp_Pnt2d (PP.X() + C * DD.X(),
PP.Y() + C * DD.Y());
}
inline gp_Pnt2d gp_Elips2d::Focus2() const
{
Standard_Real C = sqrt (majorRadius * majorRadius -
minorRadius * minorRadius);
const gp_Pnt2d& PP = pos.Location ();
const gp_Dir2d& DD = pos.XDirection();
return gp_Pnt2d (PP.X() - C * DD.X(),
PP.Y() - C * DD.Y());
}
inline const gp_Pnt2d& gp_Elips2d::Location () const
{ return pos.Location(); }
inline Standard_Real gp_Elips2d::MajorRadius() const
{ return majorRadius; }
inline Standard_Real gp_Elips2d::MinorRadius() const
{ return minorRadius; }
inline Standard_Real gp_Elips2d::Parameter () const
{
if (majorRadius == 0.0) return 0.0;
else return (minorRadius * minorRadius) / majorRadius;
}
inline const gp_Ax22d& gp_Elips2d::Axis () const
{ return pos; }
inline gp_Ax2d gp_Elips2d::YAxis () const
{ return pos.YAxis(); }
inline gp_Ax2d gp_Elips2d::XAxis () const
{ return pos.XAxis(); }
inline void gp_Elips2d::Reverse()
{
gp_Dir2d Temp = pos.YDirection ();
Temp.Reverse ();
pos.SetAxis(gp_Ax22d(pos.Location(),pos.XDirection(),Temp));
}
inline gp_Elips2d gp_Elips2d::Reversed() const
{
gp_Elips2d E = *this;
gp_Dir2d Temp = pos.YDirection ();
Temp.Reverse ();
E.pos.SetAxis(gp_Ax22d(pos.Location(),pos.XDirection(),Temp));
return E;
}
inline Standard_Boolean gp_Elips2d::IsDirect() const
{ return (pos.XDirection().Crossed(pos.YDirection())) >= 0.0; }
inline void gp_Elips2d::Rotate (const gp_Pnt2d& P,
const Standard_Real Ang)
{ pos.Rotate (P, Ang); }
inline gp_Elips2d gp_Elips2d::Rotated (const gp_Pnt2d& P,
const Standard_Real Ang) const
{
gp_Elips2d E = *this;
E.pos.Rotate (P, Ang);
return E;
}
inline void gp_Elips2d::Scale (const gp_Pnt2d& 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_Elips2d gp_Elips2d::Scaled (const gp_Pnt2d& P,
const Standard_Real S) const
{
gp_Elips2d E = *this;
E.majorRadius *= S;
if (E.majorRadius < 0) E.majorRadius = - E.majorRadius;
E.minorRadius *= S;
if (E.minorRadius < 0) E.minorRadius = - E.minorRadius;
E.pos.Scale(P, S);
return E;
}
inline void gp_Elips2d::Transform(const gp_Trsf2d& T)
{
Standard_Real TSca = T.ScaleFactor();
if(TSca<0.0) TSca=-TSca;
majorRadius *= TSca;
minorRadius *= TSca;
pos.Transform(T);
}
inline gp_Elips2d gp_Elips2d::Transformed (const gp_Trsf2d& T) const
{
gp_Elips2d E = *this;
E.majorRadius *= T.ScaleFactor();
if (E.majorRadius < 0) E.majorRadius = - E.majorRadius;
E.minorRadius *= T.ScaleFactor();
if (E.minorRadius < 0) E.minorRadius = - E.minorRadius;
E.pos.Transform(T);
return E;
}
inline void gp_Elips2d::Translate (const gp_Vec2d& V)
{ pos.Translate(V); }
inline gp_Elips2d gp_Elips2d::Translated (const gp_Vec2d& V) const
{
gp_Elips2d E = *this;
E.pos.Translate(V);
return E;
}
inline void gp_Elips2d::Translate (const gp_Pnt2d& P1,
const gp_Pnt2d& P2)
{ pos.Translate(P1, P2); }
inline gp_Elips2d gp_Elips2d::Translated (const gp_Pnt2d& P1,
const gp_Pnt2d& P2) const
{
gp_Elips2d E = *this;
E.pos.Translate(P1, P2);
return E;
}
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