vect3d.h
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	#ifndef __VECT3D_H__
	#define __VECT3D_H__

	#include <array>

	typedef std::array<double, 3> Vector;

	Vector& operator+=(Vector& v, const Vector& w);
	Vector& operator-=(Vector& v, const Vector& w);

	Vector& operator*=(Vector& v, double k);
	Vector& operator/=(Vector& v, double k);

	Vector operator+(const Vector& v, const Vector& w);
	Vector operator-(const Vector& v, const Vector& w);

	Vector operator*(const Vector& v, double k);
	Vector operator/(const Vector& v, double k);

	/* cross product */
	Vector operator^(const Vector& v, const Vector& w);

	/* dot product */
	double operator*(const Vector& v, const Vector& w);

	bool operator==(const Vector& v, const Vector& w);
	bool operator!=(const Vector& v, const Vector& w);

	double module(const Vector& v);
	double sq_module(const Vector& v);

	Vector unit(const Vector& v);

	const Vector nullv = {0, 0, 0};

	#endif