Source file picture_lib.ml
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let diameter_of_a_dot = 3.
let default_line_size = 1.
module BoundingBox : sig
type pen = Spline_lib.path
type t
(** The type of the approximation *)
val empty : t
val of_path : ?base:pen -> Spline_lib.path -> t
val union : t -> t -> t
val transform : Matrix.t -> t -> t
val bounding_box : t -> Point_lib.t * Point_lib.t
val of_bounding_box : Point_lib.t * Point_lib.t -> t
end = struct
module S = Spline_lib
module P = Point_lib
type pen = S.path
type t = (Spline.t list * pen) list
let empty = []
let create ?(base = S.Point P.zero) = function
| S.Path p -> [ (p.S.pl, base) ]
| S.Point p ->
let x =
match S.of_bounding_box (p, p) with
| S.Path p -> p.S.pl
| S.Point _ -> assert false
in
[ (x, base) ]
let of_path = create
let union x y = List.rev_append x y
let transform t x =
List.map
(fun (x, f) ->
( List.map (Spline.transform t) x,
S.transform (Matrix.remove_translation t) f ))
x
open P
open P.Infix
let bounding_box sl =
let x_min, y_min, x_max, y_max =
P.list_min_max_float
(fun (e, f) ->
let x_min, y_min, x_max, y_max =
P.list_min_max_float Spline.precise_bounding_box e
in
let pen_min, pen_max = S.bounding_box f in
let p1, p2 =
( { x = x_min; y = y_min } +/ pen_min,
{ x = x_max; y = y_max } +/ pen_max )
in
(p1.x, p1.y, p2.x, p2.y))
sl
in
({ x = x_min; y = y_min }, { x = x_max; y = y_max })
let of_bounding_box l = create (S.of_bounding_box l)
end
module MP = Metapath_lib
module P = Point_lib
module S = BoundingBox
type transform = Matrix.t
type num = float
type dash = float * num list
type pen = transform
type color = Concrete_types.color
type path = Spline_lib.path
type id = int
type interactive =
| IntEmpty
| IntTransform of interactive * transform
| IntClip of interactive * path
| IntOnTop of interactive * interactive
| Inter of path * id
type commands =
| Empty
| Transform of transform * commands
| OnTop of commands list
| Tex of Gentex.t
| Stroke_path of path * color option * pen * dash option
| Fill_path of path * color option
| Clip of commands * path
| ExternalImage of string * float * transform
and t = { fcl : commands; fb : BoundingBox.t; fi : interactive }
let content x = x.fcl
let empty = { fcl = Empty; fb = S.empty; fi = IntEmpty }
let tex t =
{ fcl = Tex t; fb = S.of_bounding_box (Gentex.bounding_box t); fi = IntEmpty }
let fill_path p c = { fcl = Fill_path (p, c); fb = S.of_path p; fi = IntEmpty }
let base_of_pen pen =
Spline_lib.transform pen (MP.Approx.fullcircle default_line_size)
let stroke_path p c pen d =
{
fcl = Stroke_path (p, c, pen, d);
fb = S.of_path ~base:(base_of_pen pen) p;
fi = IntEmpty;
}
let draw_point p =
stroke_path
(Spline_lib.create_point p)
None
(Matrix.scale diameter_of_a_dot)
None
let clip p path =
{
fcl = Clip (p.fcl, path);
fb = S.of_path path;
fi = IntClip (p.fi, path);
}
let externalimage_dimension filename : float * float =
let inch =
Unix.open_process_in
(Format.sprintf "identify -format \"%%h\\n%%w\" \"%s\"" filename)
in
try
let h = float_of_string (input_line inch) in
let w = float_of_string (input_line inch) in
(h, w)
with End_of_file | Failure _ ->
invalid_arg (Format.sprintf "Unknown external image %s" filename)
let external_image filename spec =
let fh, fw = externalimage_dimension filename in
let height, width =
match spec with
| `Exact (h, w) -> (h, w)
| `None -> (fh, fw)
| `Height h -> (h, fw /. fh *. h)
| `Width w -> (fh /. fw *. w, w)
| `Inside (h, w) ->
let w = min (h *. (fw /. fh)) w in
(fh /. fw *. w, w)
in
let m = Matrix.multiply (Matrix.xscaled width) (Matrix.yscaled height) in
{
fcl = ExternalImage (filename, height, m);
fb = S.of_bounding_box (P.zero, { P.x = width; y = height });
fi = IntEmpty;
}
let interactive path id = { fcl = Empty; fb = S.empty; fi = Inter (path, id) }
let is_empty t = t.fcl = Empty
let on_top t1 t2 =
if is_empty t1 then t2
else if is_empty t2 then t1
else
{
fcl = OnTop [ t1.fcl; t2.fcl ];
fb = S.union t1.fb t2.fb;
fi = IntOnTop (t1.fi, t2.fi);
}
let transform m t =
{
fcl = Transform (m, t.fcl);
fb = S.transform m t.fb;
fi = IntTransform (t.fi, m);
}
let shift t w h = transform (Matrix.xy_translation w h) t
let bounding_box t = S.bounding_box t.fb
let baseline p = match p.fcl with Tex tex -> Gentex.get_bases_pt tex | _ -> []
let apply_transform_cmds t =
let rec aux pic =
match pic with
| Empty -> Empty
| OnTop l -> OnTop (List.map aux l)
| Fill_path (p, c) -> Fill_path (path p, c)
| Stroke_path (pa, c, pe, d) -> Stroke_path (path pa, c, pe, d)
| Clip (cmds, p) -> Clip (aux cmds, path p)
| Tex g -> Tex { g with Gentex.trans = Matrix.multiply t g.Gentex.trans }
| ExternalImage (f, h, m) -> ExternalImage (f, h, Matrix.multiply t m)
| Transform (t', l) -> Transform (Matrix.multiply t' t, l)
and path p = Spline_lib.transform t p in
aux
let iter f t =
let rec aux p =
f p;
match p with
| Empty | Fill_path _ | Stroke_path _ | ExternalImage _ | Tex _ -> ()
| OnTop l -> List.iter aux l
| Clip (c, _) -> aux c
| Transform (_, l) -> aux l
in
aux (content t)
let apply_transform t p =
{
p with
fcl = apply_transform_cmds t p.fcl;
fb = BoundingBox.transform t p.fb;
}
module Dash = struct
type t = float * float list
type input_dash = On of float | Off of float
let shifted f (x, d) = (x +. f, d)
let line = (0., [ 3.; 3. ])
let dots = (0., [ 0.; 5. ])
let rec on acc = function
| [] -> [ acc ]
| On f :: l -> on (f +. acc) l
| Off f :: l -> acc :: off f l
and off acc = function
| [] -> [ acc ]
| On f :: l -> acc :: on f l
| Off f :: l -> off (f +. acc) l
and to_dash = function
| [] -> []
| On f :: l -> on f l
| Off f :: l -> 0. :: off f l
let pattern l = (0., to_dash l)
let scale f (x, l) = (x, List.map (fun z -> f *. z) l)
end
module Print = struct
open Format
let rec command fmt c =
match c with
| Empty -> pp_print_string fmt "empty"
| Stroke_path (p, _, _, _) -> Spline_lib.print fmt p
| Tex g -> Gentex.deb_print fmt g
| OnTop cl -> Misc.print_list Misc.newline command fmt cl
| _ -> assert false
let pic fmt p = command fmt p.fcl
end