/**
 * Class that models a vector in 3D
 * Author: Diego Cáceres
 * Modifications by: Alfredo Morales Pinzón
 * Date modifications: Octobre 7, 2014
 */
#ifndef VEC3_H
#define VEC3_H

#include <appli/TempAirwaysAppli/MathLib/MathLib_Export.h>
#include <cmath>
#include <iostream>
#include <limits>       // std::numeric_limits

//------------------------------------------------------------------------------
/**
 * @brief The Vec3 class that represents a vector in 3D
 */
class MathLib_EXPORT Vec3
{
private:
	float x, y, z; //!< Coordinates
public:
	//----------------------------------------------------------------------------
	/**
	 * @brief Vec3
	 */
	Vec3();
	//----------------------------------------------------------------------------
	/**
	 * @brief Vec3
	 * @param x
	 * @param y
	 * @param z
	 */
	Vec3(const float& x, const float& y, const float& z);
	//----------------------------------------------------------------------------
	//Getters
	//----------------------------------------------------------------------------
	/**
	 * @brief GetVec3
	 * @return
	 */
	const float* GetVec3() const;
	//----------------------------------------------------------------------------
	/**
	 * @brief GetVec3
	 * @return
	 */
	float* GetVec3();
	//----------------------------------------------------------------------------
	/**
	 * @brief Norm
	 * @return
	 */
	float Norm() const;

	/**
	 * Method that normalizes the vector. v = v/|v|
	 */
	void Normalize();

	/**
	 * Method that sets all the values
	 */
	void set(const float& x, const float& y, const float& z);

	/**
	 * @brief Dot
	 * @param b
	 * @return
	 */
	float Dot(const Vec3& b) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief Orthogonal
	 * @param b
	 * @return
	 */
	Vec3 Orthogonal(const Vec3& b) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief Cross
	 * @param b
	 * @return
	 */
	Vec3 Cross(const Vec3& b) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief EculideanDistance between two points
	 * @param b
	 * @return
	 */
	float EculideanDistance(const Vec3& b) const;
	//----------------------------------------------------------------------------
	//Operator Overloads
	//----------------------------------------------------------------------------
	/**
	 * @brief The copy operator
	 * @param vec
	 * @return
	 */
	Vec3& operator=(const Vec3& vec);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator []
	 * @param i
	 * @return
	 */
	float& operator[](unsigned int i);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator []
	 * @param i
	 * @return
	 */
	const float& operator[](unsigned int i) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief operator +
	 * @return
	 */
	Vec3 operator+() const;
	//----------------------------------------------------------------------------
	/**
	 * @brief operator -
	 * @return
	 */
	Vec3 operator-() const;
	//----------------------------------------------------------------------------
	/**
	 * @brief operator +=
	 * @param b
	 * @return
	 */
	Vec3& operator+=(const Vec3& b);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator -=
	 * @param b
	 * @return
	 */
	Vec3& operator-=(const Vec3& b);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator *=
	 * @param k
	 * @return
	 */
	Vec3& operator*=(const float& k);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator /=
	 * @param k
	 * @return
	 */
	Vec3& operator/=(const float& k);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator +
	 * @param b
	 * @return
	 */
	Vec3 operator+(const Vec3& b);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator -
	 * @param b
	 * @return
	 */
	Vec3 operator-(const Vec3& b);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator *
	 * @param k
	 * @return
	 */
	Vec3 operator*(const float& k);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator /
	 * @param k
	 * @return
	 */
	Vec3 operator/(const float& k);
	//----------------------------------------------------------------------------
	/**
	 * @brief operator ==
	 * @param b
	 * @return
	 */
	bool operator==(const Vec3& b) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief operator !=
	 * @param b
	 * @return
	 */
	bool operator!=(const Vec3& b) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief operator <
	 * @param b
	 * @return
	 */
	bool operator<(const Vec3& b) const;
	//----------------------------------------------------------------------------
	/**
	 * @brief operator >
	 * @param b
	 * @return
	 */
	bool operator>(const Vec3& b);
	//----------------------------------------------------------------------------
	friend std::ostream& operator<<(std::ostream& os, const Vec3& coord);
	//----------------------------------------------------------------------------

};
//------------------------------------------------------------------------------

#endif // VEC3_H