vgl_box_2d.h

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// This is core/vgl/vgl_box_2d.h
#ifndef vgl_box_2d_h
#define vgl_box_2d_h
//:
// \file
// \brief Contains class to represent a cartesian 2D bounding box.
// \author Don Hamilton, Peter Tu
// \date   15 Feb 2000
//
// \verbatim
//  Modifications
//   IMS (Manchester)14 Mar 2001: Tidied up the documentation + added binary_io
//   Amitha Perera   10 Jul 2001: Deprecated get_*() in favour of *(), as agreed in Zurich.
//   Peter Vanroose   5 Oct 2001: Added operator==() and is_empty()
//   Peter Vanroose   6 Oct 2001: Added method add(vgl_point_2d<T>) to enlarge a box
//   Peter Vanroose   7 Oct 2001: Removed deprecated get_*() functions
//   Peter Vanroose     Feb 2002: brief doxygen comment placed on single line
//   Peter Vanroose  12 Sep 2002: Added method add(vgl_box_2d<T>) to enlarge a box
//   Peter Vanroose  22 Apr 2003: Interface change (centroid constructor): now in correspondence with vgl_box_3d<T>
//   Peter Vanroose  13 May 2003: Constructor interface change (backward compat)
//   Peter Vanroose  15 Oct 2003: Removed deprecated constructors without 4th arg
//   Peter Vanroose  16 Oct 2003: Corner pts given to constructor may now be in any order
//   Gamze Tunali    25 Jan 2007: Moved intersect(box1,box2) to vgl_intersection
//   Peter Vanroose  30 Mar 2007: Commented out deprecated intersect() function
//   Peter Vanroose  22 Jul 2009: Moved vgl_intersection() to vgl_intersection.h
// \endverbatim

#include <iosfwd>
#ifdef _MSC_VER
#  include <vcl_msvc_warnings.h>
#endif
#include <vgl/vgl_fwd.h> // forward declare vgl_point_2d

//: Represents a cartesian 2D box
//  A 2d box with sides aligned with the \a x and \a y axes.
//  Also supports operations required of a bounding box for geometric region
//  tests.
//
//  A box can be empty; this is what the default constructor creates, or what
//  is left after applying the empty() method.  Use the add() methods to enlarge
//  a box, and use the contains() methods to check for inclusion of a point or
//  an other box.
//
//  To make the convex union of two boxes, use box1.add(box2).
//  \verbatim
//                                  MaxPosition
//                    O-------------O
//                    |             |
//                    |             |
//                    |  Centroid   |
//                    |      o      |
//                    |             |
//        Y           |             |
//        |           |             |
//        |           O-------------O
//        |       MinPosition
//        O------X
// \endverbatim
// If you are using a vgl_box_2d<int> to indicate a window on an image, do not forget
// that your axes will be flipped. You could think of the window as follows.
//  \verbatim
//        O------X
//        |       MinPosition
//        |             O-------------O
//        |             |             |
//        Y             |             |
//                      |  Centroid   |
//                      |      o      |
//                      |             |
//                      |             |
//                      |             |
//                      O-------------O
//                               MaxPosition
// \endverbatim
// \sa vgl_box_3d
//  Note: area is not defined on the box class to keep a clean interface
//  see vgl_area<T>
template <class Type>
class vgl_box_2d
{
 public:

  //: Default constructor (creates empty box)
  vgl_box_2d();

  //: Construct using two corner points
  vgl_box_2d(Type const corner1[2],
             Type const corner2[2]);

  //: Construct using two corner points
  vgl_box_2d(vgl_point_2d<Type> const& corner1,
             vgl_point_2d<Type> const& corner2);

  //: Construct using ranges in \a x (first two args) and \a y (last two)
  vgl_box_2d(Type xmin, Type xmax, Type ymin, Type ymax);

  enum point_type { centre=0, min_pos, max_pos };

  //: Construct a box sized width x height at a given reference point.
  //  The box will either be centered at ref_point or will have ref_point
  //  as its min-position or max-position, as specified by the 4th argument.
  vgl_box_2d(Type const ref_point[2],
             Type width, Type height,
             point_type);

  //: Construct a box sized width x height at a given reference point.
  //  The box will either be centered at ref_point or will have ref_point
  //  as its min-position or max-position, as specified by the 4th argument.
  vgl_box_2d(vgl_point_2d<Type> const& ref_point,
             Type width, Type height,
             point_type);

  //: Equality test
  inline bool operator==(vgl_box_2d<Type> const& b) const {
    // All empty boxes are equal:
    if (b.is_empty()) return is_empty();
    return  min_x() == b.min_x() && min_y() == b.min_y()
         && max_x() == b.max_x() && max_y() == b.max_y();
  }

  // Data Access---------------------------------------------------------------

  //: Get width of this box (= \a x dimension)
  Type width() const;
  //: Get height of this box (= \a y dimension)
  Type height() const;

  //: Get "volume" (=area) of this box
  Type volume() const { return width()*height(); }

  //: Get min \a x
  inline Type min_x() const { return min_pos_[0]; }
  //: Get min \a y
  inline Type min_y() const { return min_pos_[1]; }
  //: Get max \a x
  inline Type max_x() const { return max_pos_[0]; }
  //: Get max \a y
  inline Type max_y() const { return max_pos_[1]; }

  //: Get the centroid point
  vgl_point_2d<Type> centroid() const;
  //: Get \a x component of centroid
  Type centroid_x() const;
  //: Get \a y component of centroid
  Type centroid_y() const;

  //: Return lower left corner of box
  vgl_point_2d<Type> min_point() const;

  //: Return upper right corner of box
  vgl_point_2d<Type> max_point() const;

  // Data Control--------------------------------------------------------------

  //: Return true if this box is empty
  inline bool is_empty() const {
    return min_x() > max_x() || min_y() > max_y();
  }

  //: Add a point to this box.
  // Do this by possibly enlarging the box so that the point just falls within the box.
  // Adding a point to an empty box makes it a size zero box only containing p.
  void add(vgl_point_2d<Type> const& p);

  //: Make the convex union of two boxes.
  // Do this by possibly enlarging this box so that the corner points of the
  // given box just fall within the box.
  // Adding an empty box does not change the current box.
  void add(vgl_box_2d<Type> const& b);

  //: Return true iff the point p is inside this box
  bool contains(vgl_point_2d<Type> const& p) const;

  //: Return true iff the corner points of b are inside this box
  bool contains(vgl_box_2d<Type> const& b) const;

  //: Return true if \a (x,y) inside box, ie \a x_min <= \a x <= \a x_max etc
  inline bool contains(Type const& x, Type const& y) const {
    return x >= min_x() && x <= max_x() && y >= min_y() && y <= max_y();
  }

  //: Make the box empty
  void empty();

  //: Set left side of box (other side ordinates unchanged)
  inline void set_min_x(Type m) { min_pos_[0]=m; }
  //: Set bottom of box (other side ordinates unchanged)
  inline void set_min_y(Type m) { min_pos_[1]=m; }
  //: Set right side (other side ordinates unchanged)
  inline void set_max_x(Type m) { max_pos_[0]=m; }
  //: Set top (other side ordinates unchanged)
  inline void set_max_y(Type m) { max_pos_[1]=m; }

  //: Move box so centroid lies at cx (width and height unchanged)
  void set_centroid_x(Type cx);
  //: Move box so centroid lies at cy (width and height unchanged)
  void set_centroid_y(Type cy);

  //: Modify width, retaining centroid at current position
  void set_width(Type width);
  //: Modify height, retaining centroid at current position
  void set_height(Type height);

  //: Add to width and height, centroid unchanged.
  // Will move each side by \p expand / 2.
  void expand_about_centroid(Type expand);
  //: Scale width and height, centroid unchanged.
  void scale_about_centroid(double s);
  //: Scale width and height, keeping scaled position of origin unchanged.
  void scale_about_origin(double s);

  //: Modify bottom left. Top right only changed if necessary to avoid empty box
  void setmin_position(Type const min_position[2]);
  //: Modify top right. Bottom left only changed if necessary to avoid empty box
  void setmax_position(Type const max_position[2]);
  //: Modify bottom left. Top right only changed if necessary to avoid empty box
  void set_min_point(vgl_point_2d<Type> const& min_pt);
  //: Modify top right. Bottom left only changed if necessary to avoid empty box
  void set_max_point(vgl_point_2d<Type> const& max_pt);

  //: Move box so centroid lies at c (width, height unchanged)
  inline void set_centroid(Type const c[2]) { set_centroid_x(c[0]); set_centroid_y(c[1]); }
  //: Move box so centroid lies at c (width, height unchanged)
  inline void set_centroid(vgl_point_2d<Type> const& c) { set_centroid_x(c.x()); set_centroid_y(c.y()); }

  // I/O-----------------------------------------------------------------------

  //: Write "<vgl_box_2d x0,y0 to x1,y1>" to stream
  std::ostream& print(std::ostream&) const;

  //: Write "x0 y0 x1 y1(endl)" to stream
  std::ostream& write(std::ostream&) const;

  //: Read x0,y0,x1,y1 from stream
  std::istream& read(std::istream&);

  // INTERNALS-----------------------------------------------------------------
 protected:
  // Data Members--------------------------------------------------------------
  Type min_pos_[2];
  Type max_pos_[2];
};

//: Write box to stream
// \relatesalso vgl_box_2d
template <class Type>
std::ostream&  operator<<(std::ostream& s, vgl_box_2d<Type> const& p);

//: Read box from stream
// \relatesalso vgl_box_2d
template <class Type>
std::istream&  operator>>(std::istream& is,  vgl_box_2d<Type>& p);

//: Calculate the bounding box of a sequence of points or boxes.
template <class T, class ITER>
void vgl_box_2d_bounds(ITER begin, ITER end, vgl_box_2d<T>& bounding_box)
{
  for (; begin != end; ++begin)
    bounding_box.add(*begin);
}

#define VGL_BOX_2D_INSTANTIATE(T) extern "please include vgl/vgl_box_2d.hxx first"

#endif // vgl_box_2d_h