204 lines
7.3 KiB
C++
204 lines
7.3 KiB
C++
/****************************************************************************
|
|
* VCGLib o o *
|
|
* Visual and Computer Graphics Library o o *
|
|
* _ O _ *
|
|
* Copyright(C) 2004 \/)\/ *
|
|
* Visual Computing Lab /\/| *
|
|
* ISTI - Italian National Research Council | *
|
|
* \ *
|
|
* All rights reserved. *
|
|
* *
|
|
* This program is free software; 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. *
|
|
* *
|
|
* This program 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 General Public License (http://www.gnu.org/licenses/gpl.txt) *
|
|
* for more details. *
|
|
* *
|
|
****************************************************************************/
|
|
/****************************************************************************
|
|
History
|
|
|
|
|
|
****************************************************************************/
|
|
|
|
|
|
|
|
#ifndef __VCGLIB_LINE2
|
|
#define __VCGLIB_LINE2
|
|
|
|
#include <vcg/space/point2.h>
|
|
|
|
namespace vcg {
|
|
|
|
/** \addtogroup space */
|
|
/*@{*/
|
|
/**
|
|
Templated class for 2D lines.
|
|
This is the class for infinite lines in 3D space. A Line is stored just as two Point2:
|
|
an origin and a direction (not necessarily normalized).
|
|
@param LineScalarType (template parameter) Specifies the type of scalar used to represent coords.
|
|
@param NORM: if on, the direction is always Normalized
|
|
*/
|
|
template <class LineScalarType, bool NORM=false>
|
|
class Line2
|
|
{
|
|
public:
|
|
|
|
/// The scalar type
|
|
typedef LineScalarType ScalarType;
|
|
|
|
/// The point type
|
|
typedef Point2<LineScalarType> PointType;
|
|
|
|
/// The line type
|
|
typedef Line2<LineScalarType,NORM> LineType;
|
|
|
|
private:
|
|
|
|
/// Origin
|
|
PointType _ori;
|
|
|
|
/// Direction (not necessarily normalized, unless so specified by NORM)
|
|
PointType _dir;
|
|
|
|
public:
|
|
|
|
//@{
|
|
/** @name Members to access the origin or direction
|
|
Direction() cannot be assigned directly.
|
|
Use SetDirection() or Set() instead.
|
|
**/
|
|
///
|
|
inline const PointType &Origin() const { return _ori; }
|
|
inline PointType &Origin() { return _ori; }
|
|
inline const PointType &Direction() const { return _dir; }
|
|
/// sets the origin
|
|
inline void SetOrigin( const PointType & ori )
|
|
{ _ori=ori; }
|
|
/// sets the direction
|
|
inline void SetDirection( const PointType & dir)
|
|
{ _dir=dir; if (NORM) _dir.Normalize(); }
|
|
/// sets origin and direction.
|
|
inline void Set( const PointType & ori, const PointType & dir )
|
|
{ SetOrigin(ori); SetDirection(dir); }
|
|
//@}
|
|
|
|
//@{
|
|
/** @name Constructors
|
|
**/
|
|
/// The empty constructor
|
|
Line2() {};
|
|
/// The (origin, direction) constructor
|
|
Line2(const PointType &ori, const PointType &dir) {SetOrigin(ori); SetDirection(dir);};
|
|
//@}
|
|
|
|
/// Operator to compare two lines
|
|
inline bool operator == ( LineType const & p ) const
|
|
{ return _ori==p._ori && _dir==p._dir; }
|
|
/// Operator to dispare two lines
|
|
inline bool operator != ( LineType const & p ) const
|
|
{ return _ori!=p._ori || _dir!=p._dir; }
|
|
/// Projects a point on the line
|
|
inline ScalarType Projection( const PointType &p ) const
|
|
{ if (NORM) return ScalarType((p-_ori)*_dir);
|
|
else return ScalarType((p-_ori)*_dir/_dir.SquaredNorm());
|
|
}
|
|
/// returns wheter this type is normalized or not
|
|
static bool IsNormalized() {return NORM;};
|
|
/// calculates the point of parameter t on the line.
|
|
inline PointType P( const ScalarType t ) const
|
|
{ return _ori + _dir * t; }
|
|
/// normalizes direction field (returns a Normalized Line)
|
|
inline Line2<ScalarType,true> &Normalize()
|
|
{ if (!NORM) _dir.Normalize(); return *((Line2<ScalarType,true>*)this);}
|
|
/// normalizes direction field (returns a Normalized Line) - static version
|
|
static Line2<ScalarType,true> &Normalize(LineType &p)
|
|
{ p.Normalize(); return *((Line2<ScalarType,true>*)(&p));}
|
|
/// importer for different line types (with any scalar type or normalization beaviour)
|
|
template <class Q, bool K>
|
|
inline void Import( const Line2<Q,K> & b )
|
|
{ _ori.Import( b.Origin() ); _dir.Import( b.Direction() );
|
|
if ((NORM) && (!K)) _dir.Normalize();
|
|
//printf("(=)%c->%c ",(!NORM)?'N':'n', NORM?'N':'n');
|
|
}
|
|
/// constructs a new line importing it from an existing one
|
|
template <class Q, bool K>
|
|
static LineType Construct( const Line2<Q,K> & b )
|
|
{ LineType res; res.Import(b); return res;
|
|
}
|
|
PointType ClosestPoint(const PointType & p) const{
|
|
return P(Projection(p));
|
|
}
|
|
/// flips the line
|
|
inline void Flip(){
|
|
_dir=-_dir;
|
|
};
|
|
|
|
//@{
|
|
/** @name Linearity for 3d lines
|
|
(operators +, -, *, /) so a line can be set as a linear combination
|
|
of several lines. Note that the result of any operation returns
|
|
a non-normalized line; however, the command r0 = r1*a + r2*b is licit
|
|
even if r0,r1,r2 are normalized lines, as the normalization will
|
|
take place within the final assignement operation.
|
|
**/
|
|
inline Line2<ScalarType,false> operator + ( LineType const & p) const
|
|
{return Line2<ScalarType,false> ( _ori+p.Origin(), _dir+p.Direction() );}
|
|
inline Line2<ScalarType,false> operator - ( LineType const & p) const
|
|
{return Line2<ScalarType,false> ( _ori-p.Origin(), _dir-p.Direction() );}
|
|
inline Line2<ScalarType,false> operator * ( const ScalarType s ) const
|
|
{return Line2<ScalarType,false> ( _ori*s, _dir*s );}
|
|
inline Line2<ScalarType,false> operator / ( const ScalarType s ) const
|
|
{ScalarType s0=((ScalarType)1.0)/s; return LineType( _ori*s0, _dir*s0 );}
|
|
//@}
|
|
|
|
|
|
//@{
|
|
/** @name Automatic normalized to non-normalized
|
|
"Line3dN r0 = r1" is equivalent to
|
|
"Line3dN r0 = r1.Normalize()" if r1 is a Line3d
|
|
**/
|
|
/// copy constructor that takes opposite beaviour
|
|
Line2 (const Line2<ScalarType,!NORM > &r)
|
|
{ Import(r); };
|
|
/// assignment
|
|
inline LineType & operator = ( Line2<ScalarType,!NORM> const &r)
|
|
{ Import(r); return *this; };
|
|
//@}
|
|
|
|
}; // end class definition
|
|
|
|
typedef Line2<short> Line2s;
|
|
typedef Line2<int> Line2i;
|
|
typedef Line2<float> Line2f;
|
|
typedef Line2<double> Line2d;
|
|
|
|
typedef Line2<short ,true> Line2sN;
|
|
typedef Line2<int ,true> Line2iN;
|
|
typedef Line2<float ,true> Line2fN;
|
|
typedef Line2<double,true> Line2dN;
|
|
|
|
/// returns closest point
|
|
template <class ScalarType, bool NORM>
|
|
Point2<ScalarType> ClosestPoint( Line2<ScalarType,NORM> l, const Point2<ScalarType> & p)
|
|
{
|
|
return l.P(l.Projection(p));
|
|
}
|
|
|
|
template <class ScalarType, bool NORM>
|
|
ScalarType Distance(const Line2<ScalarType, NORM> &l,
|
|
const Point2<ScalarType> &p) {
|
|
Point2<ScalarType> o = l.ClosestPoint(p);
|
|
return (o - p).Norm();
|
|
}
|
|
|
|
/*@}*/
|
|
|
|
} // end namespace
|
|
#endif
|