unyx / utils

     * @return  float               The cartesian distance.

     * @throws  \DomainException    When the given Vector is not in the same space as this Vector.

     */

    public function cartesianDistanceTo(Vector $that) : float

    {

        if (!$this->isSameDimension($that)) {

            throw new \DomainException('The given input Vector is not in the same dimension as this Vector.');

        }

        $result = 0;

        foreach ($this->components as $i => $component) {

            $result += pow($component - $that->components[$i], 2);

        }

        return sqrt($result);

    }

    /**

     * Returns the Chebyshev (AKA chessboard) distance of this Vector to the given Vector.

     * @return  float               The taxicab distance.

     * @throws  \DomainException    When the given Vector is not in the same space as this Vector.

     */

    public function chebyshevDistanceTo(Vector $that) : float

    {

        if (!$this->isSameDimension($that)) {

            throw new \DomainException('The given input Vector is not in the same dimension as this Vector.');

        }

        $result = [];

        foreach ($this->components as $i => $component) {

            $result[$i] = abs($component - $that->components[$i]);

        }

        return max($result);

    }

    /**

     * Returns the taxicab (AKA Manhattan / city block / rectilinear) distance of this Vector to the given Vector.