vector.hpp

#pragma once

#include <ostream>

namespace rt {
    
    struct vector {
        
        double x;
        double y;
        double z;
    
        vector()
        : x(0.0), y(0.0), z(0.0) {}

        vector(double a, double b, double c)
        : x(a), y(b), z(c) {}

        const double & operator[](int i) const;

        double & operator[](int i);

        bool operator==(const vector& other) const;

        vector operator+(const vector& other) const;

        vector operator-(const vector& other) const;

        vector operator-() const;

        vector operator^(const vector& other) const;

        double operator|(const vector& other) const;

        double norm() const;

        vector unit() const;

        double distance(const vector &) const;
    };

    vector operator*(const double& x, const vector& v);

    vector operator*(const vector& v, const double& x);

    std::ostream & operator<<(std::ostream & stream, const vector & v);
}