Bitmap/Bézier curves/Cubic
< Bitmap
Bitmap/Bézier curves/Cubic
You are encouraged to solve this task according to the task description, using any language you may know.
You are encouraged to solve this task according to the task description, using any language you may know.
Using the data storage type defined on this page for raster images, and the draw_line
function defined in this other one, draw a cubic bezier curves
(definition on Wikipedia).
OCaml
<ocaml>let cubic_bezier ~img ~color
~p1:(_x1, _y1) ~p2:(_x2, _y2) ~p3:(_x3, _y3) ~p4:(_x4, _y4) = let x1, y1, x2, y2, x3, y3, x4, y4 = (float _x1, float _y1, float _x2, float _y2, float _x3, float _y3, float _x4, float _y4) in let bz t = let a = (1.0 -. t) ** 3.0 and b = 3.0 *. t *. ((1.0 -. t) ** 2.0) and c = 3.0 *. (t ** 2.0) *. (1.0 -. t) and d = t ** 3.0 in let x = a *. x1 +. b *. x2 +. c *. x3 +. d *. x4 and y = a *. y1 +. b *. y2 +. c *. y3 +. d *. y4 in (int_of_float x, int_of_float y) in let rec loop _t acc = if _t > 20 then acc else begin let t = (float _t) /. 20.0 in let x, y = bz t in loop (succ _t) ((x,y)::acc) end in let pts = loop 0 [] in
(* (* draw only points *) List.iter (fun (x, y) -> put_pixel img color x y) pts; *)
(* draw segments *) let line = draw_line ~img ~color in let by_pair li f = let rec aux prev = function | [] -> () | x::xs -> f prev x; aux x xs in aux (List.hd li) (List.tl li) in by_pair pts (fun p0 p1 -> line ~p0 ~p1);
- </ocaml>