AccFlower2D.ih

/**
 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Lesser General Public License as
 *  published by the Free Software Foundation, either version 3 of the
 *  License, or  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 **/
 
/**
 * @file AccFlower2D.ih
 * @author David Coeurjolly (\c david.coeurjolly@liris.cnrs.fr )
 * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France
 * @author Jacques-Olivier Lachaud (\c jacques-olivier.lachaud@univ-savoie.fr )
 * Laboratory of Mathematics (CNRS, UMR 5807), University of Savoie, France
 *
 * @date 2011/04/12
 *
 * Implementation of inline methods defined in AccFlower2D.h
 *
 * This file is part of the DGtal library.
 */
 
 
//////////////////////////////////////////////////////////////////////////////
#include <cstdlib>
//////////////////////////////////////////////////////////////////////////////
 
#define FLOWER_PI_SQUARE (M_PI * M_PI)
#define FLOWER_2_PI      (2. * M_PI)
 
///////////////////////////////////////////////////////////////////////////////
// IMPLEMENTATION of inline methods.
///////////////////////////////////////////////////////////////////////////////
 
///////////////////////////////////////////////////////////////////////////////
// ----------------------- Standard services ------------------------------
 
template <typename T>
inline
DGtal::AccFlower2D<T>::AccFlower2D(const double x0, const double y0,
           const double radius, const double smallRadius,
           const unsigned int k, const double phi)
  :  myCenter(x0,y0), myRadius(radius), myVarRadius(smallRadius), 
     myK(k), myPhi(phi)
{
  myKp = 2 * myK / FLOWER_PI_SQUARE;
}
 
 
template <typename T>
inline
DGtal::AccFlower2D<T>::AccFlower2D(const RealPoint &aPoint, const double radius,
           const double smallRadius,
           const unsigned int k, const double phi)
  : myCenter(aPoint), myRadius(radius), myVarRadius(smallRadius), 
    myK(k), myPhi(phi)
{
  myKp = 2 * myK/ FLOWER_PI_SQUARE;
}
 
template <typename T>
inline
DGtal::AccFlower2D<T>::AccFlower2D(const AccFlower2D& other) 
  : myCenter(other.myCenter), myRadius(other.myRadius), myVarRadius(other.myVarRadius), 
    myK(other.myK), myPhi(other.myPhi)
{}
 
/////////////////////////////////////////////////////////////////////////////
// ------------- Implementation of 'StarShaped' services ------------------
 
/**
 * @param pp any point in the plane.
 *
 * @return the angle parameter between 0 and 2*Pi corresponding to
 * this point for the shape.
 */
template <typename T>
inline
double
DGtal::AccFlower2D<T>::parameter( const RealPoint& pp ) const
{
  RealPoint p = pp - myCenter;
 
  const double angle = atan2( p[1], p[0] );
 
  return ( angle < 0. ) ? angle + FLOWER_2_PI : angle;
}
 
/**
 * @param tt any angle between 0 and 2*Pi.
 *
 * @return the vector (x(t),y(t)) which is the position on the
 * shape boundary.
 */
template <typename T>
inline
typename DGtal::AccFlower2D<T>::RealPoint 
DGtal::AccFlower2D<T>::x( const double tt ) const
{
  double t = tt;
  while ( t >= M_PI ) t -= FLOWER_2_PI; 
  while ( t < -M_PI ) t += FLOWER_2_PI;
 
  const double r = myRadius + myVarRadius * cos( myKp * t * t * t );
  return RealPoint( r * cos( t ), r * sin( t ) ) + myCenter;
}
 
 
/**
 * @param tt any angle between 0 and 2*Pi.
 *
 * @return the vector (x'(t),y'(t)) which is the tangent to the
 * shape boundary.
 */
template <typename T>
inline
typename DGtal::AccFlower2D<T>::RealVector 
DGtal::AccFlower2D<T>::xp( const double tt ) const
{
  double t = tt;
  while ( t >= M_PI ) t -= FLOWER_2_PI;
  while ( t < -M_PI ) t += FLOWER_2_PI;
  
  const double ktn = myKp * t * t * t;
  const double ktnp = 3 * myKp * t * t ;
 
  const double r = myRadius + myVarRadius * cos( ktn );
  const double rp = - myVarRadius * sin( ktn ) * ktnp;
  return RealPoint(
    rp * cos( t ) - r * sin( t ),
    rp * sin( t ) + r * cos( t )
  );
}
 
/**
 * @param tt any angle between 0 and 2*Pi.
 *
 * @return the vector (x''(t),y''(t)).
 */
template <typename T>
inline
typename DGtal::AccFlower2D<T>::RealVector
DGtal::AccFlower2D<T>::xpp( const double tt ) const
{
  double t = tt;
  while ( t >= M_PI ) t -= FLOWER_2_PI;
  while ( t < -M_PI ) t += FLOWER_2_PI;
  
  const double ktn = myKp * t * t * t;
  const double ktnp = 3 * myKp * t * t;
  const double ktnpp = 6 * myKp * t;
  
  const double r = myRadius + myVarRadius * cos( ktn );
  const double rp = - myVarRadius * sin( ktn ) * ktnp;
  const double rpp = - myVarRadius * cos( ktn ) * ktnp * ktnp - 
    myVarRadius * sin( ktn ) * ktnpp;
  
  return RealPoint(
    rpp * cos( t ) - 2 * rp * sin( t ) - r * cos( t ),
    rpp * sin( t ) + 2 * rp * cos( t ) - r * sin( t )
  );
}
 
 
///////////////////////////////////////////////////////////////////////////////
// Interface - public :
 
/**
 * Writes/Displays the object on an output stream.
 * @param out the output stream where the object is written.
 */
template <typename T>
inline
void
DGtal::AccFlower2D<T>::selfDisplay ( std::ostream & out ) const
{
  out << "[AccFlower2D] center= " << myCenter
      << " radius=" << myRadius
      << " smallradius=" << myVarRadius
      <<" myK=" << myK
      << " phase-shift=" << myPhi;
}
 
/**
 * Checks the validity/consistency of the object.
 * @return 'true' if the object is valid, 'false' otherwise.
 */
template <typename T>
inline
bool
DGtal::AccFlower2D<T>::isValid() const
{
    return true;
}
 
 
 
///////////////////////////////////////////////////////////////////////////////
// Implementation of inline functions                                        //
 
template <typename T>
inline
std::ostream&
DGtal::operator<< ( std::ostream & out, 
      const AccFlower2D<T> & object )
{
  object.selfDisplay( out );
  return out;
}
 
//                                                                           //
///////////////////////////////////////////////////////////////////////////////