143 lines
4.9 KiB
C++
143 lines
4.9 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
|
|
|
|
$Log: not supported by cvs2svn $
|
|
Revision 1.1 2004/03/31 22:19:24 ponchio
|
|
Untested first draft.
|
|
|
|
|
|
****************************************************************************/
|
|
|
|
|
|
|
|
#ifndef VCG_PLANE3_H
|
|
#define VCG_PLANE3_H
|
|
|
|
#include <vcg/space/point3.h>
|
|
|
|
namespace vcg {
|
|
|
|
/** \addtogroup space */
|
|
/*@{*/
|
|
/**
|
|
Templated class for 2D planes in 3D spaces.
|
|
This is the class for infinite planes in 3D space. A Plane is stored just as a Point3 and a scalar:
|
|
a direction (not necessarily normalized), and a distance from the origin
|
|
@param T (template parameter) Specifies the type of scalar used to represent coords.
|
|
@param NORM: if on, the direction is always Normalized
|
|
*/
|
|
template <class T, bool NORM=true> class Plane3 {
|
|
public:
|
|
typedef T ScalarType;
|
|
typedef Point3<T> PointType;
|
|
|
|
private:
|
|
/// Distance
|
|
ScalarType _offset;
|
|
///Direction (not necessarily normalized unless NORM is true)
|
|
PointType _dir;
|
|
|
|
public:
|
|
//@{
|
|
/** @name Constructors
|
|
**/
|
|
/// The empty constructor
|
|
Plane3() {}
|
|
/// The (distance, direction) constructor
|
|
Plane3(const ScalarType &dist, const PointType &dir) { Set(dist, dir); }
|
|
|
|
//@{
|
|
/** @name Members to access the distance or direction
|
|
Direction() cannot be assigned directly.
|
|
Use SetDirection() or Set() instead.
|
|
**/
|
|
const ScalarType &Offset() const { return _offset; }
|
|
ScalarType &Offset() { return _offset; }
|
|
/// sets the origin
|
|
void SetOffset( const ScalarType &o ) { _offset=o; }
|
|
|
|
const PointType &Direction() const { return _dir; }
|
|
/// sets the direction
|
|
void SetDirection( const PointType & dir) {
|
|
_dir=dir;
|
|
if (NORM) _dir.Normalize();
|
|
}
|
|
/// sets origin and direction.
|
|
void Set( const ScalarType & off, const PointType & dir ) {
|
|
SetOrigin(off);
|
|
SetDirection(dir);
|
|
}
|
|
|
|
/// Operator to compare two lines
|
|
bool operator==(Plane3 const &p) const {
|
|
return _offset == p._offset && _dir == p._dir;
|
|
}
|
|
/// Operator to dispare two lines
|
|
bool operator!=(Plane3 const &p) const {
|
|
return _offset != p._offset || _dir != p._dir;
|
|
}
|
|
|
|
///Project a point on the plane
|
|
PointType Projection(PointType &p) const {
|
|
ScalarType k = p * _dir - _offset;
|
|
return p - _dir * k;
|
|
}
|
|
|
|
/// Function to normalize direction
|
|
void Normalize() {
|
|
_dir.Normalize();
|
|
}
|
|
|
|
/// Calculates the plane passing through three points (Rename this method)
|
|
void Init(const PointType &p0, const PointType &p1, const PointType &p2) {
|
|
_dir = (p2 - p0) ^ (p1 - p0);
|
|
_offset = p0 * _dir;
|
|
if(NORM) Normalize();
|
|
}
|
|
|
|
/// Calculates the plane passing through a point and the normal (Rename this method
|
|
inline void Init(const PointType &p0, const PointType &norm) {
|
|
_dir = norm;
|
|
_offset = p0 * _dir;
|
|
}
|
|
}; // end class Plane3
|
|
|
|
typedef Plane3<float> Plane3f;
|
|
typedef Plane3<double> Plane3d;
|
|
|
|
///Distance plane - point (Move this function to somewhere else)
|
|
template<class T> T Distance(const Plane3<T> &plane, const Point3<T> &point) {
|
|
return plane.Direction() * point - plane.Offset;
|
|
}
|
|
|
|
///Distance point-plane (Move this function to somewhere else)
|
|
template<class T> T Distance(const Point3<T> &po, const Plane3<T> &plane) {
|
|
return plane.Direction() * point - plane.Offset;
|
|
}
|
|
|
|
} // end namespace
|
|
|
|
|
|
#endif |