struct Vec {
    Vec() {}
    Vec( T a, T b, T c ) {
        data[ 0 ] = a;
        data[ 1 ] = b;
        data[ 2 ] = c;
    }

    template<class B>
    Vec( const Vec<B,dim> &vec ) {
        for( int var = 0; var < dim; ++var )
            data[ var ] = vec[ var ];
    }

    const T &operator[]( int index ) const { return data[ index ]; }
    T &operator[]( int index ) { return data[ index ]; }  //pour acceder a la valeur a la position index du vecteur

    Vec &operator*=( T val ) {
        for( int i = 0; i < dim; ++i )
            data[ i ] *= val;
        return *this;
    }

    Vec &operator/=( T val ) {
        for( int i = 0; i < dim; ++i )
            data[ i ] /= val;
        return *this;
    }


    T data[ dim ];
};