Point - coordinate position

include  "draw.m";
draw:= load Draw Draw->PATH;
Point: adt
{
  x:   int;
  y:   int;
  add: fn(p: self Point, q: Point): Point;
  sub: fn(p: self Point, q: Point): Point;
  mul: fn(p: self Point, i: int):   Point;
  div: fn(p: self Point, i: int):   Point;
  eq:  fn(p: self Point, q: Point): int;
  in:  fn(p: self Point, r: Rect):  int;
};

Description

The Point data type specifies a position in the integer grid.


x, y	The coordinate position. The coordinates increase to the right (x) and down (y).
p.add (q)	Returns the point (p.x+q.x, p.y+q.y).
p.sub (q)	Returns the point (p.x-q.x, p.y-q.y).
p.mul (i)	Returns the point (p.xi, p.yi).
p.div (i)	Returns the point (p.x/i, p.y/i).
p.eq (q)	Returns non-zero if the points' coordinates are equal and zero otherwise.
p.in (rect)	Returns 1 if point p is within rectangle rect, 0 if outside.

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