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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.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/.
-
-#ifndef EIGEN_ALIGNEDBOX_H
-#define EIGEN_ALIGNEDBOX_H
-
-namespace Eigen {
-
-/** \geometry_module \ingroup Geometry_Module
- *
- *
- * \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 NumTraits<Scalar> ScalarTraits;
- typedef DenseIndex Index;
- typedef typename ScalarTraits::Real RealScalar;
- typedef typename ScalarTraits::NonInteger NonInteger;
- typedef Matrix<Scalar,AmbientDimAtCompileTime,1> VectorType;
-
- /** Define constants to name the corners of a 1D, 2D or 3D axis aligned bounding box */
- enum CornerType
- {
- /** 1D names */
- Min=0, Max=1,
-
- /** Added names for 2D */
- BottomLeft=0, BottomRight=1,
- TopLeft=2, TopRight=3,
-
- /** Added names for 3D */
- BottomLeftFloor=0, BottomRightFloor=1,
- TopLeftFloor=2, TopRightFloor=3,
- BottomLeftCeil=4, BottomRightCeil=5,
- TopLeftCeil=6, TopRightCeil=7
- };
-
-
- /** Default constructor initializing a null box. */
- inline AlignedBox()
- { if (AmbientDimAtCompileTime!=Dynamic) setEmpty(); }
-
- /** Constructs a null box with \a _dim the dimension of the ambient space. */
- inline explicit AlignedBox(Index _dim) : m_min(_dim), m_max(_dim)
- { setEmpty(); }
-
- /** Constructs a box with extremities \a _min and \a _max. */
- template<typename OtherVectorType1, typename OtherVectorType2>
- inline AlignedBox(const OtherVectorType1& _min, const OtherVectorType2& _max) : m_min(_min), m_max(_max) {}
-
- /** Constructs a box containing a single point \a p. */
- template<typename Derived>
- inline explicit AlignedBox(const MatrixBase<Derived>& a_p)
- {
- typename internal::nested<Derived,2>::type p(a_p.derived());
- m_min = p;
- m_max = p;
- }
-
- ~AlignedBox() {}
-
- /** \returns the dimension in which the box holds */
- inline Index dim() const { return AmbientDimAtCompileTime==Dynamic ? m_min.size() : Index(AmbientDimAtCompileTime); }
-
- /** \deprecated use isEmpty */
- inline bool isNull() const { return isEmpty(); }
-
- /** \deprecated use setEmpty */
- inline void setNull() { setEmpty(); }
-
- /** \returns true if the box is empty. */
- inline bool isEmpty() const { return (m_min.array() > m_max.array()).any(); }
-
- /** Makes \c *this an empty box. */
- inline void setEmpty()
- {
- m_min.setConstant( ScalarTraits::highest() );
- m_max.setConstant( ScalarTraits::lowest() );
- }
-
- /** \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 const CwiseUnaryOp<internal::scalar_quotient1_op<Scalar>,
- const CwiseBinaryOp<internal::scalar_sum_op<Scalar>, const VectorType, const VectorType> >
- center() const
- { return (m_min+m_max)/2; }
-
- /** \returns the lengths of the sides of the bounding box.
- * Note that this function does not get the same
- * result for integral or floating scalar types: see
- */
- inline const CwiseBinaryOp< internal::scalar_difference_op<Scalar>, const VectorType, const VectorType> sizes() const
- { return m_max - m_min; }
-
- /** \returns the volume of the bounding box */
- inline Scalar volume() const
- { return sizes().prod(); }
-
- /** \returns an expression for the bounding box diagonal vector
- * if the length of the diagonal is needed: diagonal().norm()
- * will provide it.
- */
- inline CwiseBinaryOp< internal::scalar_difference_op<Scalar>, const VectorType, const VectorType> diagonal() const
- { return sizes(); }
-
- /** \returns the vertex of the bounding box at the corner defined by
- * the corner-id corner. It works only for a 1D, 2D or 3D bounding box.
- * For 1D bounding boxes corners are named by 2 enum constants:
- * BottomLeft and BottomRight.
- * For 2D bounding boxes, corners are named by 4 enum constants:
- * BottomLeft, BottomRight, TopLeft, TopRight.
- * For 3D bounding boxes, the following names are added:
- * BottomLeftCeil, BottomRightCeil, TopLeftCeil, TopRightCeil.
- */
- inline VectorType corner(CornerType corner) const
- {
- EIGEN_STATIC_ASSERT(_AmbientDim <= 3, THIS_METHOD_IS_ONLY_FOR_VECTORS_OF_A_SPECIFIC_SIZE);
-
- VectorType res;
-
- Index mult = 1;
- for(Index d=0; d<dim(); ++d)
- {
- if( mult & corner ) res[d] = m_max[d];
- else res[d] = m_min[d];
- mult *= 2;
- }
- return res;
- }
-
- /** \returns a random point inside the bounding box sampled with
- * a uniform distribution */
- inline VectorType sample() const
- {
- VectorType r;
- for(Index d=0; d<dim(); ++d)
- {
- if(!ScalarTraits::IsInteger)
- {
- r[d] = m_min[d] + (m_max[d]-m_min[d])
- * internal::random<Scalar>(Scalar(0), Scalar(1));
- }
- else
- r[d] = internal::random(m_min[d], m_max[d]);
- }
- return r;
- }
-
- /** \returns true if the point \a p is inside the box \c *this. */
- template<typename Derived>
- inline bool contains(const MatrixBase<Derived>& a_p) const
- {
- typename internal::nested<Derived,2>::type p(a_p.derived());
- return (m_min.array()<=p.array()).all() && (p.array()<=m_max.array()).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.array()<=(b.min)().array()).all() && ((b.max)().array()<=m_max.array()).all(); }
-
- /** \returns true if the box \a b is intersecting the box \c *this. */
- inline bool intersects(const AlignedBox& b) const
- { return (m_min.array()<=(b.max)().array()).all() && ((b.min)().array()<=m_max.array()).all(); }
-
- /** Extends \c *this such that it contains the point \a p and returns a reference to \c *this. */
- template<typename Derived>
- inline AlignedBox& extend(const MatrixBase<Derived>& a_p)
- {
- typename internal::nested<Derived,2>::type p(a_p.derived());
- m_min = m_min.cwiseMin(p);
- m_max = m_max.cwiseMax(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.cwiseMin(b.m_min);
- m_max = m_max.cwiseMax(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.cwiseMax(b.m_min);
- m_max = m_max.cwiseMin(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.cwiseMax(b.m_min), m_max.cwiseMin(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.cwiseMin(b.m_min), m_max.cwiseMax(b.m_max)); }
-
- /** Translate \c *this by the vector \a t and returns a reference to \c *this. */
- template<typename Derived>
- inline AlignedBox& translate(const MatrixBase<Derived>& a_t)
- {
- const typename internal::nested<Derived,2>::type t(a_t.derived());
- 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()
- */
- template<typename Derived>
- inline Scalar squaredExteriorDistance(const MatrixBase<Derived>& a_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()
- */
- template<typename Derived>
- inline NonInteger exteriorDistance(const MatrixBase<Derived>& p) const
- { using std::sqrt; return sqrt(NonInteger(squaredExteriorDistance(p))); }
-
- /** \returns the distance between the boxes \a b and \c *this,
- * and zero if the boxes intersect.
- * \sa squaredExteriorDistance()
- */
- inline NonInteger exteriorDistance(const AlignedBox& b) const
- { using std::sqrt; return sqrt(NonInteger(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 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, const RealScalar& prec = ScalarTraits::dummy_precision()) 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 AmbientDim>
-template<typename Derived>
-inline Scalar AlignedBox<Scalar,AmbientDim>::squaredExteriorDistance(const MatrixBase<Derived>& a_p) const
-{
- typename internal::nested<Derived,2*AmbientDim>::type p(a_p.derived());
- Scalar dist2(0);
- Scalar aux;
- for (Index k=0; k<dim(); ++k)
- {
- if( m_min[k] > p[k] )
- {
- aux = m_min[k] - p[k];
- dist2 += aux*aux;
- }
- else if( p[k] > m_max[k] )
- {
- aux = p[k] - m_max[k];
- dist2 += aux*aux;
- }
- }
- return dist2;
-}
-
-template<typename Scalar,int AmbientDim>
-inline Scalar AlignedBox<Scalar,AmbientDim>::squaredExteriorDistance(const AlignedBox& b) const
-{
- Scalar dist2(0);
- Scalar aux;
- for (Index k=0; k<dim(); ++k)
- {
- if( m_min[k] > b.m_max[k] )
- {
- aux = m_min[k] - b.m_max[k];
- dist2 += aux*aux;
- }
- else if( b.m_min[k] > m_max[k] )
- {
- aux = b.m_min[k] - m_max[k];
- dist2 += aux*aux;
- }
- }
- return dist2;
-}
-
-/** \defgroup alignedboxtypedefs Global aligned box typedefs
- *
- * \ingroup Geometry_Module
- *
- * Eigen defines several typedef shortcuts for most common aligned box types.
- *
- * The general patterns are the following:
- *
- * \c AlignedBoxSizeType where \c Size can be \c 1, \c 2,\c 3,\c 4 for fixed size boxes or \c X for dynamic size,
- * and where \c Type can be \c i for integer, \c f for float, \c d for double.
- *
- * For example, \c AlignedBox3d is a fixed-size 3x3 aligned box type of doubles, and \c AlignedBoxXf is a dynamic-size aligned box of floats.
- *
- * \sa class AlignedBox
- */
-
-#define EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, Size, SizeSuffix) \
-/** \ingroup alignedboxtypedefs */ \
-typedef AlignedBox<Type, Size> AlignedBox##SizeSuffix##TypeSuffix;
-
-#define EIGEN_MAKE_TYPEDEFS_ALL_SIZES(Type, TypeSuffix) \
-EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 1, 1) \
-EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 2, 2) \
-EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 3, 3) \
-EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, 4, 4) \
-EIGEN_MAKE_TYPEDEFS(Type, TypeSuffix, Dynamic, X)
-
-EIGEN_MAKE_TYPEDEFS_ALL_SIZES(int, i)
-EIGEN_MAKE_TYPEDEFS_ALL_SIZES(float, f)
-EIGEN_MAKE_TYPEDEFS_ALL_SIZES(double, d)
-
-#undef EIGEN_MAKE_TYPEDEFS_ALL_SIZES
-#undef EIGEN_MAKE_TYPEDEFS
-
-} // end namespace Eigen
-
-#endif // EIGEN_ALIGNEDBOX_H