define the class defined by the UML: USING THE PROGRAMMING LANGUAGE C$++$

Point $2$D

$-$ x: double

$-$ y: double

$+$ Point$2$D$()$;

$+$ Point$2$D $($x$1$:double, y$1$: double$)$

$+$ Point$2$D $($P$1$: const Point$2$D&$)$

$+$ setX$($x$1$:double$)$ : void

$+$ setY$($y$1$: double$)$ : void

$+$ getX$()$ const: double

$+$ getY$()$ const: double

$+$ getDistanceToOrigin$()$ const: double

$+$ getAngle$()$ const: double

$+$ shift$($dx: double, dy: double$)$ : void

$+$ distanceToPoint$($P$2$: const Point$2$D&$)$ : double$)$

$+$ friend operator$+($P$1$: const Point$2$D&$,$ P$2$: const Point$2$D&$)$: Point $2$D

$+$ friend operator $<<($os: ostream&$,$ P$1$: const Point$2$D&$)$ : ostream&

$+$ friend operator $>>($is: istream&$,$ P$1$: const Point$2$D&$)$ : istream&