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/*
   math/plane3f.h
   This file is part of the Osirion project and is distributed under
   the terms of the GNU General Public License version 2
*/

#ifndef __INCLUDED_MATH_PLANE3F_H__
#define __INCLUDED_MATH_PLANE3F_H__

#include "math/vector3f.h"

namespace math
{

/** @brief A class representing a plane in 3d space
 *  all points p(x, y, z) on the plane satisfy the general equation
 *  x*a() + y*b() + z*c() + d() = 0
 */
class Plane3f
{
public:
	/// a plane defined by 3 points in space
	Plane3f(Vector3f const & point0, Vector3f const &point1, Vector3f const &point2);
	/// copy constructor
	Plane3f(Plane3f const & other);

	/// normal of the plane, not normalized to lenght 1
	inline Vector3f const & normal() const { return plane_normal; }
	/// the points defining the plane. 
	/// @param i 0 <= i < 3
	inline Vector3f const & point(size_t i) const { return plane_point[i]; }
	/// plane texture 
	inline std::string & texture() { return plane_texture; }
	/// first parameter of the general equation
	inline float a() const { return plane_normal[0]; }
	/// second parameter of the general equation
	inline float b() const { return plane_normal[1]; }
	/// third param of the general equation
	inline float c() const { return plane_normal[2]; }
	/// fourth parameter of the general equation
	inline float d() const { return pd; }

private:
	Vector3f 		plane_point[3];
	Vector3f 		plane_normal;
	std::string		plane_texture;
	float 			pd;
};

}

#endif // __INCLUDED_MATH_PLANE3F_H__