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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
//
// Eigen 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.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen 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 Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
#ifndef EIGEN_ALIGNEDBOX_H
#define EIGEN_ALIGNEDBOX_H
/** \geometry_module \ingroup Geometry_Module
* \nonstableyet
*
* \class AlignedBox
*
* \brief An axis aligned box
*
* \param _Scalar the type of the scalar coefficients
* \param _AmbientDim the dimension of the ambient space, can be a compile time value or Dynamic.
*
* This class represents an axis aligned box as a pair of the minimal and maximal corners.
*/
template <typename _Scalar, int _AmbientDim>
class AlignedBox
{
public:
EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_AmbientDim)
enum { AmbientDimAtCompileTime = _AmbientDim };
typedef _Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
typedef Matrix<Scalar,AmbientDimAtCompileTime,1> VectorType;
/** Default constructor initializing a null box. */
inline explicit AlignedBox()
{ if (AmbientDimAtCompileTime!=Dynamic) setNull(); }
/** Constructs a null box with \a _dim the dimension of the ambient space. */
inline explicit AlignedBox(int _dim) : m_min(_dim), m_max(_dim)
{ setNull(); }
/** Constructs a box with extremities \a _min and \a _max. */
inline AlignedBox(const VectorType& _min, const VectorType& _max) : m_min(_min), m_max(_max) {}
/** Constructs a box containing a single point \a p. */
inline explicit AlignedBox(const VectorType& p) : m_min(p), m_max(p) {}
~AlignedBox() {}
/** \returns the dimension in which the box holds */
inline int dim() const { return AmbientDimAtCompileTime==Dynamic ? m_min.size()-1 : AmbientDimAtCompileTime; }
/** \returns true if the box is null, i.e, empty. */
inline bool isNull() const { return (m_min.cwise() > m_max).any(); }
/** Makes \c *this a null/empty box. */
inline void setNull()
{
m_min.setConstant( std::numeric_limits<Scalar>::max());
m_max.setConstant(-std::numeric_limits<Scalar>::max());
}
/** \returns the minimal corner */
inline const VectorType& min() const { return m_min; }
/** \returns a non const reference to the minimal corner */
inline VectorType& min() { return m_min; }
/** \returns the maximal corner */
inline const VectorType& max() const { return m_max; }
/** \returns a non const reference to the maximal corner */
inline VectorType& max() { return m_max; }
/** \returns the center of the box */
inline VectorType center() const { return (m_min + m_max) / 2; }
/** \returns true if the point \a p is inside the box \c *this. */
inline bool contains(const VectorType& p) const
{ return (m_min.cwise()<=p).all() && (p.cwise()<=m_max).all(); }
/** \returns true if the box \a b is entirely inside the box \c *this. */
inline bool contains(const AlignedBox& b) const
{ return (m_min.cwise()<=b.min()).all() && (b.max().cwise()<=m_max).all(); }
/** Extends \c *this such that it contains the point \a p and returns a reference to \c *this. */
inline AlignedBox& extend(const VectorType& p)
{ m_min = m_min.cwise().min(p); m_max = m_max.cwise().max(p); return *this; }
/** Extends \c *this such that it contains the box \a b and returns a reference to \c *this. */
inline AlignedBox& extend(const AlignedBox& b)
{ m_min = m_min.cwise().min(b.m_min); m_max = m_max.cwise().max(b.m_max); return *this; }
/** Clamps \c *this by the box \a b and returns a reference to \c *this. */
inline AlignedBox& clamp(const AlignedBox& b)
{ m_min = m_min.cwise().max(b.m_min); m_max = m_max.cwise().min(b.m_max); return *this; }
/** Returns an AlignedBox that is the intersection of \a b and \c *this */
inline AlignedBox intersection(const AlignedBox &b) const
{ return AlignedBox(m_min.cwise().max(b.m_min), m_max.cwise().min(b.m_max)); }
/** Returns an AlignedBox that is the union of \a b and \c *this */
inline AlignedBox merged(const AlignedBox &b) const
{ return AlignedBox(m_min.cwise().min(b.m_min), m_max.cwise().max(b.m_max)); }
/** Translate \c *this by the vector \a t and returns a reference to \c *this. */
inline AlignedBox& translate(const VectorType& t)
{ m_min += t; m_max += t; return *this; }
/** \returns the squared distance between the point \a p and the box \c *this,
* and zero if \a p is inside the box.
* \sa exteriorDistance()
*/
inline Scalar squaredExteriorDistance(const VectorType& p) const;
/** \returns the squared distance between the boxes \a b and \c *this,
* and zero if the boxes intersect.
* \sa exteriorDistance()
*/
inline Scalar squaredExteriorDistance(const AlignedBox& b) const;
/** \returns the distance between the point \a p and the box \c *this,
* and zero if \a p is inside the box.
* \sa squaredExteriorDistance()
*/
inline Scalar exteriorDistance(const VectorType& p) const
{ return ei_sqrt(squaredExteriorDistance(p)); }
/** \returns the distance between the boxes \a b and \c *this,
* and zero if the boxes intersect.
* \sa squaredExteriorDistance()
*/
inline Scalar exteriorDistance(const AlignedBox& b) const
{ return ei_sqrt(squaredExteriorDistance(b)); }
/** \returns \c *this with scalar type casted to \a NewScalarType
*
* Note that if \a NewScalarType is equal to the current scalar type of \c *this
* then this function smartly returns a const reference to \c *this.
*/
template<typename NewScalarType>
inline typename ei_cast_return_type<AlignedBox,
AlignedBox<NewScalarType,AmbientDimAtCompileTime> >::type cast() const
{
return typename ei_cast_return_type<AlignedBox,
AlignedBox<NewScalarType,AmbientDimAtCompileTime> >::type(*this);
}
/** Copy constructor with scalar type conversion */
template<typename OtherScalarType>
inline explicit AlignedBox(const AlignedBox<OtherScalarType,AmbientDimAtCompileTime>& other)
{
m_min = other.min().template cast<Scalar>();
m_max = other.max().template cast<Scalar>();
}
/** \returns \c true if \c *this is approximately equal to \a other, within the precision
* determined by \a prec.
*
* \sa MatrixBase::isApprox() */
bool isApprox(const AlignedBox& other, typename NumTraits<Scalar>::Real prec = precision<Scalar>()) const
{ return m_min.isApprox(other.m_min, prec) && m_max.isApprox(other.m_max, prec); }
protected:
VectorType m_min, m_max;
};
template<typename Scalar,int AmbiantDim>
inline Scalar AlignedBox<Scalar,AmbiantDim>::squaredExteriorDistance(const VectorType& p) const
{
Scalar dist2 = 0.;
Scalar aux;
for (int k=0; k<dim(); ++k)
{
if ((aux = (p[k]-m_min[k]))<0.)
dist2 += aux*aux;
else if ( (aux = (m_max[k]-p[k]))<0. )
dist2 += aux*aux;
}
return dist2;
}
template<typename Scalar,int AmbiantDim>
inline Scalar AlignedBox<Scalar,AmbiantDim>::squaredExteriorDistance(const AlignedBox& b) const
{
Scalar dist2 = 0.;
Scalar aux;
for (int k=0; k<dim(); ++k)
{
if ((aux = (b.m_min[k]-m_max[k]))>0.)
dist2 += aux*aux;
else if ( (aux = (m_min[k]-b.m_max[k]))>0. )
dist2 += aux*aux;
}
return dist2;
}
#endif // EIGEN_ALIGNEDBOX_H
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