200 lines
7.1 KiB
C++
200 lines
7.1 KiB
C++
/****************************************************************************
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* VCGLib o o *
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* Visual and Computer Graphics Library o o *
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* _ O _ *
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* Copyright(C) 2004 \/)\/ *
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* Visual Computing Lab /\/| *
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* ISTI - Italian National Research Council | *
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* \ *
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* All rights reserved. *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your option) any later version. *
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* *
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* This program is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
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* for more details. *
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* *
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****************************************************************************/
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/****************************************************************************
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History
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$Log: not supported by cvs2svn $
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****************************************************************************/
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#ifndef __VCGLIB_RAY2
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#define __VCGLIB_RAY2
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#include <vcg/space/point2.h>
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namespace vcg {
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/** \addtogroup space */
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/*@{*/
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/**
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Templated class for 3D rays.
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This is the class for infinite rays in 3D space. A Ray is stored just as two Point3:
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an origin and a direction (not necessarily normalized).
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@param RayScalarType (template parameter) Specifies the type of scalar used to represent coords.
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@param NORM: if on, the direction is always Normalized
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*/
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template <class RayScalarType, bool NORM=false>
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class Ray2
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{
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public:
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/// The scalar type
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typedef RayScalarType ScalarType;
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/// The point type
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typedef Point2<RayScalarType> PointType;
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/// The ray type
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typedef Ray2<RayScalarType,NORM> RayType;
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private:
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/// Origin
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PointType _ori;
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/// Direction (not necessarily normalized, unless so specified by NORM)
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PointType _dir;
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public:
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//@{
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/** @name Members to access the origin or direction
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Direction() cannot be assigned directly.
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Use SetDirection() or Set() instead.
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**/
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///
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inline const PointType &Origin() const { return _ori; }
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inline PointType &Origin() { return _ori; }
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inline const PointType &Direction() const { return _dir; }
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/// sets the origin
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inline void SetOrigin( const PointType & ori )
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{ _ori=ori; }
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/// sets the direction
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inline void SetDirection( const PointType & dir)
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{ _dir=dir; if (NORM) _dir.Normalize(); }
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/// sets origin and direction.
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inline void Set( const PointType & ori, const PointType & dir )
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{ SetOrigin(ori); SetDirection(dir); }
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//@}
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//@{
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/** @name Constructors
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**/
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/// The empty constructor
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Ray2() {};
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/// The (origin, direction) constructor
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Ray2(const PointType &ori, const PointType &dir) {SetOrigin(ori); SetDirection(dir);};
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//@}
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/// Operator to compare two rays
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inline bool operator == ( RayType const & p ) const
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{ return _ori==p._ori && _dir==p._dir; }
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/// Operator to dispare two rays
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inline bool operator != ( RayType const & p ) const
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{ return _ori!=p._ori || _dir!=p._dir; }
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/// Projects a point on the ray
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inline ScalarType Projection( const PointType &p ) const
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{ if (NORM) return ScalarType((p-_ori)*_dir);
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else return ScalarType((p-_ori)*_dir/_dir.SquaredNorm());
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}
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/// returns wheter this type is normalized or not
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static bool IsNormalized() {return NORM;};
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/// calculates the point of parameter t on the ray.
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inline PointType P( const ScalarType t ) const
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{ return _ori + _dir * t; }
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/// normalizes direction field (returns a Normalized Ray)
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inline Ray2<ScalarType,true> &Normalize()
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{ if (!NORM) _dir.Normalize(); return *((Ray2<ScalarType,true>*)this);}
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/// normalizes direction field (returns a Normalized Ray) - static version
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static Ray2<ScalarType,true> &Normalize(RayType &p)
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{ p.Normalize(); return *((Ray2<ScalarType,true>*)(&p));}
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/// importer for different ray types (with any scalar type or normalization beaviour)
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template <class Q, bool K>
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inline void Import( const Ray2<Q,K> & b )
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{ _ori.Import( b.Origin() ); _dir.Import( b.Direction() );
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if ((NORM) && (!K)) _dir.Normalize();
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//printf("(=)%c->%c ",(!NORM)?'N':'n', NORM?'N':'n');
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}
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/// constructs a new ray importing it from an existing one
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template <class Q, bool K>
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static RayType Construct( const Ray2<Q,K> & b )
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{ RayType res; res.Import(b); return res;
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}
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PointType ClosestPoint(const PointType & p) const{
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return P(Projection(p));
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}
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/// flips the ray
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inline void Flip(){
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_dir=-_dir;
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};
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//@{
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/** @name Linearity for 3d rays
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(operators +, -, *, /) so a ray can be set as a linear combination
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of several rays. Note that the result of any operation returns
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a non-normalized ray; however, the command r0 = r1*a + r2*b is licit
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even if r0,r1,r2 are normalized rays, as the normalization will
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take place within the final assignement operation.
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**/
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inline Ray2<ScalarType,false> operator + ( RayType const & p) const
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{return Ray2<ScalarType,false> ( _ori+p.Origin(), _dir+p.Direction() );}
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inline Ray2<ScalarType,false> operator - ( RayType const & p) const
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{return Ray2<ScalarType,false> ( _ori-p.Origin(), _dir-p.Direction() );}
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inline Ray2<ScalarType,false> operator * ( const ScalarType s ) const
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{return Ray2<ScalarType,false> ( _ori*s, _dir*s );}
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inline Ray2<ScalarType,false> operator / ( const ScalarType s ) const
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{ScalarType s0=((ScalarType)1.0)/s; return RayType( _ori*s0, _dir*s0 );}
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//@}
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//@{
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/** @name Automatic normalized to non-normalized
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"Ray2dN r0 = r1" is equivalent to
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"Ray2dN r0 = r1.Normalize()" if r1 is a Ray2d
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**/
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/// copy constructor that takes opposite beaviour
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Ray2(const Ray2<ScalarType,!NORM > &r)
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{ Import(r); };
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/// assignment
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inline RayType & operator = ( Ray2<ScalarType,!NORM> const &r)
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{ Import(r); return *this; };
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//@}
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}; // end class definition
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typedef Ray2<short> Ray2s;
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typedef Ray2<int> Ray2i;
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typedef Ray2<float> Ray2f;
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typedef Ray2<double> Ray2d;
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typedef Ray2<short ,true> Ray2sN;
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typedef Ray2<int ,true> Ray2iN;
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typedef Ray2<float ,true> Ray2fN;
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typedef Ray2<double,true> Ray2dN;
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/// returns closest point
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template <class ScalarType, bool NORM>
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Point2<ScalarType> ClosestPoint( Ray2<ScalarType,NORM> r, const Point3<ScalarType> & p)
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{
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ScalarType t = r.Projection(p);
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if (t<0) return r.Origin();
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return r.P(t);
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}
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/*@}*/
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} // end namespace
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#endif
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