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Diffstat (limited to 'eigen/Eigen/src/Eigen2Support/Geometry/AlignedBox.h')
-rw-r--r-- | eigen/Eigen/src/Eigen2Support/Geometry/AlignedBox.h | 159 |
1 files changed, 159 insertions, 0 deletions
diff --git a/eigen/Eigen/src/Eigen2Support/Geometry/AlignedBox.h b/eigen/Eigen/src/Eigen2Support/Geometry/AlignedBox.h new file mode 100644 index 0000000..2e4309d --- /dev/null +++ b/eigen/Eigen/src/Eigen2Support/Geometry/AlignedBox.h @@ -0,0 +1,159 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +// no include guard, we'll include this twice from All.h from Eigen2Support, and it's internal anyway + +namespace Eigen { + +/** \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==Dynamic ? Dynamic : _AmbientDim+1) + 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 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 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; } + + /** 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 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 \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 internal::cast_return_type<AlignedBox, + AlignedBox<NewScalarType,AmbientDimAtCompileTime> >::type cast() const + { + return typename internal::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]))<Scalar(0)) + dist2 += aux*aux; + else if ( (aux = (m_max[k]-p[k]))<Scalar(0)) + dist2 += aux*aux; + } + return dist2; +} + +} // end namespace Eigen |