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// File gp_Trsf2d.lxx, JCV 08/01/91

#include <gp_Trsf.hxx>
#include <gp_Pnt2d.hxx>

inline gp_Trsf2d::gp_Trsf2d () {
  shape = gp_Identity;
  scale = 1.0;
  matrix.SetIdentity ();
  loc.SetCoord (0.0, 0.0);
}

inline gp_Trsf2d::gp_Trsf2d (const gp_Trsf& T) :
scale(T.ScaleFactor()),
shape(T.Form()),
loc(T.TranslationPart().X(),T.TranslationPart().Y())
{
  const gp_Mat& M = T.HVectorialPart();
  matrix(1,1) = M(1,1);
  matrix(1,2) = M(1,2);
  matrix(2,1) = M(2,1);
  matrix(2,2) = M(2,2);
}

inline void gp_Trsf2d::SetMirror(const gp_Pnt2d& P)
{   
  shape = gp_PntMirror;
  scale = -1.0;
  matrix.SetIdentity ();
  loc = P.XY();
  loc.Multiply (2.0);
}

inline void gp_Trsf2d::SetRotation (const gp_Pnt2d& P,
				    const Standard_Real Ang)
{
  shape = gp_Rotation;
  scale = 1.0;
  loc = P.XY ();
  loc.Reverse ();
  matrix.SetRotation (Ang);
  loc.Multiply (matrix);
  loc.Add (P.XY());
}

inline void gp_Trsf2d::SetScale (const gp_Pnt2d& P,
				 const Standard_Real S)
{
  shape = gp_Scale;
  scale = S;
  matrix.SetIdentity ();
  loc = P.XY ();
  loc.Multiply (1.0 - S);
}

inline void gp_Trsf2d::SetTranslation(const gp_Vec2d& V)
{
  shape = gp_Translation;
  scale = 1.0;
  matrix.SetIdentity ();
  loc = V.XY ();
}

inline void gp_Trsf2d::SetTranslation (const gp_Pnt2d& P1,
				       const gp_Pnt2d& P2)
{
  shape = gp_Translation;
  scale = 1.0;
  matrix.SetIdentity ();
  loc = (P2.XY()).Subtracted (P1.XY());
}

inline Standard_Boolean gp_Trsf2d::IsNegative() const
{ return (matrix.Determinant() < 0.0); }

inline const gp_XY& gp_Trsf2d::TranslationPart () const
{ return loc; }

inline const gp_Mat2d& gp_Trsf2d::HVectorialPart () const
{ return matrix; }

inline Standard_Real gp_Trsf2d::Value (const Standard_Integer Row,
				       const Standard_Integer Col) const
{
  Standard_OutOfRange_Raise_if
    (Row < 1 || Row > 2 || Col < 1 || Col > 3, " ");
  if (Col < 3) return scale * matrix.Value (Row, Col);
  else         return loc.Coord (Row);
}

inline gp_TrsfForm gp_Trsf2d::Form() const
{ return shape; }

inline Standard_Real gp_Trsf2d::ScaleFactor() const
{ return scale; }

inline gp_Trsf2d gp_Trsf2d::Inverted() const
{ 
  gp_Trsf2d T = *this;
  T.Invert();
  return T;
}

inline gp_Trsf2d gp_Trsf2d::Multiplied (const gp_Trsf2d& T) const {
  gp_Trsf2d Tresult(*this);
  Tresult.Multiply(T);
  return Tresult;
}

inline gp_Trsf2d gp_Trsf2d::Powered (const Standard_Integer N)
{
  gp_Trsf2d T = *this;
  T.Power (N);
  return T;
}

inline void gp_Trsf2d::Transforms (Standard_Real& X,
				   Standard_Real& Y) const
{
  gp_XY Doublet (X, Y);
  Doublet.Multiply (matrix);
  if (scale != 1.0) Doublet.Multiply (scale);
  Doublet.Add(loc);
  Doublet.Coord (X, Y);
}

inline void gp_Trsf2d::Transforms (gp_XY& Coord) const
{
  Coord.Multiply (matrix);
  if (scale != 1.0) Coord.Multiply (scale);
  Coord.Add(loc);
}