Algorithm Math Delphi

function Intersect(x1, y1, x2, y2, x3, y3, x4, y4: Double): Boolean;
begin
Result := (Orientation(x1, y1, x2, y2, x3, y3) <> Orientation(x1, y1, x2, y2, x4, y4))
and
(Orientation(x3, y3, x4, y4, x1, y1) <> Orientation(x3, y3, x4, y4, x2, y2));
end;
(* End Of SegmentIntersect *)
function Orientation(x1, y1, x2, y2, Px, Py: Double): Integer;
var
Orin: Double;
begin
(* Linear determinant of the 3 points *)
Orin := (x2 - x1) * (py - y1) - (px - x1) * (y2 - y1);
if Orin > 0.0 then Result := +1 (* Orientaion is to the right-hand side *)
else if Orin < 0.0 then Result := -1 (* Orientaion is to the left-hand side *)
else
Result := 0; (* Orientaion is neutral if result is 0 *)
end;
(* End Of Orientation *)
// vérifier si 2 droites bidimensionnelles se coupent