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/** \author Jia Pan */

#ifndef FCL_OBB_H
#define FCL_OBB_H


#include "fcl/math/vec_3f.h"
#include "fcl/math/matrix_3f.h"

namespace fcl
{

/// @brief Oriented bounding box class
class OBB
{
public:
  /// @brief Orientation of OBB. axis[i] is the ith column of the orientation matrix for the box; it is also the i-th principle direction of the box. 
  /// We assume that axis[0] corresponds to the axis with the longest box edge, axis[1] corresponds to the shorter one and axis[2] corresponds to the shortest one.
  Vec3f axis[3];

  /// @brief Center of OBB
  Vec3f To;
  
  /// @brief Half dimensions of OBB
  Vec3f extent;

  /// @brief Check collision between two OBB, return true if collision happens. 
  bool overlap(const OBB& other) const;

  
  /// @brief Check collision between two OBB and return the overlap part. For OBB, the overlap_part return value is NOT used as the overlap part of two obbs usually is not an obb. 
  bool overlap(const OBB& other, OBB& overlap_part) const
  {
    return overlap(other);
  }

  /// @brief Check whether the OBB contains a point.
  bool contain(const Vec3f& p) const;

  /// @brief A simple way to merge the OBB and a point (the result is not compact).
  OBB& operator += (const Vec3f& p);

  /// @brief Merge the OBB and another OBB (the result is not compact).
  OBB& operator += (const OBB& other)
  {
     *this = *this + other;
     return *this;
  }

  /// @brief Return the merged OBB of current OBB and the other one (the result is not compact).
  OBB operator + (const OBB& other) const;

  /// @brief Width of the OBB.
  inline FCL_REAL width() const
  {
    return 2 * extent[0];
  }

  /// @brief Height of the OBB.
  inline FCL_REAL height() const
  {
    return 2 * extent[1];
  }

  /// @brief Depth of the OBB
  inline FCL_REAL depth() const
  {
    return 2 * extent[2];
  }

  /// @brief Volume of the OBB
  inline FCL_REAL volume() const
  {
    return width() * height() * depth();
  }

  /// @brief Size of the OBB (used in BV_Splitter to order two OBBs)
  inline FCL_REAL size() const
  {
    return extent.sqrLength();
  }

  /// @brief Center of the OBB
  inline const Vec3f& center() const
  {
    return To;
  }


  /// @brief Distance between two OBBs, not implemented.
  FCL_REAL distance(const OBB& other, Vec3f* P = NULL, Vec3f* Q = NULL) const;
};


/// @brief Translate the OBB bv
OBB translate(const OBB& bv, const Vec3f& t);

/// @brief Check collision between two obbs, b1 is in configuration (R0, T0) and b2 is in identity.
bool overlap(const Matrix3f& R0, const Vec3f& T0, const OBB& b1, const OBB& b2);


/// @brief Check collision between two boxes: the first box is in configuration (R, T) and its half dimension is set by a;
/// the second box is in identity configuration and its half dimension is set by b.
bool obbDisjoint(const Matrix3f& B, const Vec3f& T, const Vec3f& a, const Vec3f& b);
}

#endif
