inline void G4Axis2Placement3D::Init( const G4Vector3D& refDirection0 ,
				      const G4Vector3D& axis0         ,
				      const G4Point3D& location0       ) 
{
  refDirection = refDirection0;
  axis         = axis0;
  location     = location0;
  
  // get the axes of the placement coordinate system
  // (p[] of the STEP standard)
  pZ = axis.unit();
  pX = (refDirection-(refDirection*pZ)*pZ).unit();
  pY = pZ.cross(pX); // normalized
  
  // basis transformation
  fromPlacementCoordinates= HepTranslate3D(location)
    * G4Transform3D(HepXHat, HepYHat, HepZHat,
		     pX, pY, pZ);

  toPlacementCoordinates= fromPlacementCoordinates.inverse();
}


inline G4Axis2Placement3D::G4Axis2Placement3D(const G4Vector3D& refDirection0,
					      const G4Vector3D& axis0        ,
					      const G4Point3D& location0      )
{
  Init( refDirection0, axis0, location0);
}


inline G4Point3D G4Axis2Placement3D::GetLocation() const { return location; }

inline G4Vector3D G4Axis2Placement3D::GetAxis() const { return axis; }

inline G4Vector3D G4Axis2Placement3D::GetRefDirection() const 
{
  return refDirection;
}

/////////////////////////////////////////////////////////////////////////////

inline const G4Transform3D&
G4Axis2Placement3D::GetToPlacementCoordinates() const 
{
  return toPlacementCoordinates;
}


inline const G4Transform3D&
G4Axis2Placement3D::GetFromPlacementCoordinates() const 
{
  return fromPlacementCoordinates;
}


inline G4Vector3D G4Axis2Placement3D::GetPX() const { return pX; }

inline G4Vector3D G4Axis2Placement3D::GetPY() const { return pY; }

inline G4Vector3D G4Axis2Placement3D::GetPZ() const { return pZ; }