interval.h

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#ifndef FCL_CCD_INTERVAL_H
#define FCL_CCD_INTERVAL_H

#include "fcl/data_types.h"

namespace fcl
{

struct Interval
{
  FCL_REAL i_[2];

  Interval() { i_[0] = i_[1] = 0; }

  explicit Interval(FCL_REAL v)
  {
    i_[0] = i_[1] = v;
  }

  Interval(FCL_REAL left, FCL_REAL right)
  {
    i_[0] = left; i_[1] = right;
  }

  inline void setValue(FCL_REAL a, FCL_REAL b)
  {
    i_[0] = a; i_[1] = b;
  }

  inline void setValue(FCL_REAL x)
  {
    i_[0] = i_[1] = x;
  }

  inline FCL_REAL operator [] (size_t i) const
  {
    return i_[i];
  }

  inline FCL_REAL& operator [] (size_t i)
  {
    return i_[i];
  }

  inline bool operator == (const Interval& other) const
  {
    if(i_[0] != other.i_[0]) return false;
    if(i_[1] != other.i_[1]) return false;
    return true;
  }

  inline Interval operator + (const Interval& other) const
  {
    return Interval(i_[0] + other.i_[0], i_[1] + other.i_[1]);
  }

  inline Interval operator - (const Interval& other) const
  {
    return Interval(i_[0] - other.i_[1], i_[1] - other.i_[0]);
  }

  inline Interval& operator += (const Interval& other)
  {
    i_[0] += other.i_[0];
    i_[1] += other.i_[1];
    return *this;
  }

  inline Interval& operator -= (const Interval& other)
  {
    i_[0] -= other.i_[1];
    i_[1] -= other.i_[0];
    return *this;
  }

  Interval operator * (const Interval& other) const;

  Interval& operator *= (const Interval& other);

  inline Interval operator * (FCL_REAL d) const
  {
    if(d >= 0) return Interval(i_[0] * d, i_[1] * d);
    return Interval(i_[1] * d, i_[0] * d);
  }

  inline Interval& operator *= (FCL_REAL d)
  {
    if(d >= 0)
    {
      i_[0] *= d;
      i_[1] *= d;
    }
    else
    {
      FCL_REAL tmp = i_[0];
      i_[0] = i_[1] * d;
      i_[1] = tmp * d;
    }

    return *this;
  }

  Interval operator / (const Interval& other) const;

  Interval& operator /= (const Interval& other);

  inline bool overlap(const Interval& other) const
  {
    if(i_[1] < other.i_[0]) return false;
    if(i_[0] > other.i_[1]) return false;
    return true;
  }

  inline bool intersect(const Interval& other)
  {
    if(i_[1] < other.i_[0]) return false;
    if(i_[0] > other.i_[1]) return false;
    if(i_[1] > other.i_[1]) i_[1] = other.i_[1];
    if(i_[0] < other.i_[0]) i_[0] = other.i_[0];
    return true;
  }

  inline Interval operator - () const
  {
    return Interval(-i_[1], -i_[0]);
  }

  inline FCL_REAL getAbsLower() const
  {
    if(i_[0] >= 0) return i_[0];
    if(i_[1] >= 0) return 0;
    return -i_[1];
  }

  inline FCL_REAL getAbsUpper() const
  {
    if(i_[0] + i_[1] >= 0) return i_[1];
    return i_[0];
  }


  inline bool contains(FCL_REAL v) const
  {
    if(v < i_[0]) return false;
    if(v > i_[1]) return false;
    return true;
  }

  inline Interval& bound(FCL_REAL v)
  {
    if(v < i_[0]) i_[0] = v;
    if(v > i_[1]) i_[1] = v;
    return *this;
  }


  inline Interval& bound(const Interval& other)
  {
    if(other.i_[0] < i_[0]) i_[0] = other.i_[0];
    if(other.i_[1] > i_[1]) i_[1] = other.i_[1];
    return *this;
  }


  void print() const;
  inline FCL_REAL center() const { return 0.5 * (i_[0] + i_[1]); }
  inline FCL_REAL diameter() const { return i_[1] -i_[0]; }
};

Interval bound(const Interval& i, FCL_REAL v);

Interval bound(const Interval& i, const Interval& other);

}
#endif