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open Mlpost
open Box
open Tree
let sprintf = Format.sprintf
(*parse <<togglescript>> *)
(*parse <<tree1 *)
let tree1 =
let node s = node (tex s) in
let leaf s = leaf (tex s) in
draw
(node "1"
[ node "2" [ leaf "4"; leaf "5" ]; node "3" [ leaf "6"; leaf "7" ] ])
(*parse >> <<tree2 *)
let tree2 =
let leaf s = leaf (tex ~style:Rect s) in
let node s = node ~arrow_style:Undirected (tex ~style:Rect s) in
draw
(node "1"
[ node "2" [ leaf "4"; leaf "5" ]; node "3" [ leaf "6"; leaf "7" ] ])
(*parse >> <<tree3 *)
let tree3 =
let node s = node ~arrow_style:Undirected ~edge_style:Curve (tex s) in
let leaf s = leaf (tex s) in
draw
(node "1"
[ node "2" [ leaf "4"; leaf "5" ]; node "3" [ leaf "6"; leaf "7" ] ])
(*parse >> <<tree4 *)
let tree4 =
let node s = node ~arrow_style:Undirected ~edge_style:Square (tex s) in
let leaf s = leaf (tex s) in
draw
(node "1"
[ node "2" [ leaf "4"; leaf "5" ]; node "3" [ leaf "6"; leaf "7" ] ])
(*parse >> <<tree5 *)
let tree5 =
let node s = node ~arrow_style:Undirected ~edge_style:HalfSquare (tex s) in
let leaf s = leaf (tex s) in
draw
(node "1"
[ node "2" [ leaf "4"; leaf "5" ]; node "3" [ leaf "6"; leaf "7" ] ])
(*parse >> <<tree6 *)
let tree6 =
let node s = node ~edge_style:HalfSquare (tex s) in
let leaf s = leaf (tex s) in
draw
(node "1"
[ node "2" [ leaf "4"; leaf "5" ]; node "3" [ leaf "6"; leaf "7" ] ])
(*parse >> <<tree7 *)
let tree7 =
let node s =
node ~arrow_style:Undirected ~edge_style:HalfSquare (Box.tex s)
in
let leaf s = leaf (Box.tex s) in
draw
(node "1"
[
node "2" [ node "3" [ leaf "4" ]; leaf "5" ];
node "3"
[
node "6" [ leaf "8"; node "6" [ leaf "8"; leaf "9" ] ];
node "7" [ leaf "10" ];
];
])
(*parse >> <<tree8 *)
let stern_brocot h =
let frac (a, b) = tex (sprintf "$\\frac{%d}{%d}$" a b) in
let rec make ((a, b) as lo) ((c, d) as hi) h =
let r = (a + c, b + d) in
if h = 1 then leaf (frac r)
else
node ~arrow_style:Undirected (frac r)
[ make lo r (h - 1); make r hi (h - 1) ]
in
make (0, 1) (1, 0) h
let tree8 = draw (stern_brocot 5)
(*parse >> <<tree9 *)
let texint n = tex (sprintf "$F_{%d}$" n)
let rec fib = function
| (0 | 1) as n -> leaf (texint n)
| n -> node ~arrow_style:Undirected (texint n) [ fib (n - 1); fib (n - 2) ]
let tree9 = draw (fib 5)
(*parse >> <<tree10 *)
type 'a t = Node of 'a * 'a t list
let rec bin = function
| 0 -> Node (0, [])
| n ->
let (Node (_, l) as t) = bin (n - 1) in
Node (n, t :: l)
let rec trans (Node (n, l)) =
node ~arrow_style:Undirected (tex (sprintf "${2^{%d}}$" n)) (List.map trans l)
let tree10 = draw (trans (bin 4))
(*parse >> <<tree11 *)
open Tree.Simple
open Num
let point =
let pen = Pen.scale (bp 2.) Pen.circle in
Box.pic ~dx:zero ~dy:zero (Path.draw ~pen (Path.pathp [ Point.origin ]))
(* We use the type defined in the previous example *)
let rec bin = function
| 0 -> Node (point, [])
| n ->
let (Node (p, l) as t) = bin (n - 1) in
Node (p, t :: l)
let rec to_tree (Node (b, l)) =
node ~arrow_style:Undirected ~valign:`Right b (List.map to_tree l)
let tree11 = draw (to_tree (bin 5))
(*parse >> <<tree12 *)
open Tree_adv
open Tree_adv.Overlays
let ( ++ ) = Command.( ++ )
let rec to_tree = function Node (e, l) -> Tree.node e (List.map to_tree l)
let node i e l = Node ([ (Aft i, tex e) ], l)
let place_not_simple t =
let module P = Place (Overlays_Boxlike (Box)) in
let bplace t = Tree.to_box (to_tree t) in
P.gen_place ~place:bplace t
let tree_adv_draw t i =
let keep e = try Some (assoq i e) with Not_found -> None in
let t = filter_option keep t in
let t_arrow =
gen_draw_arrows Command.nop ~style:Helpers.draw_simple_arrow
~corner:Box.corner t
in
Tree_adv.draw (fun x -> x) t ++ fold ( ++ ) Command.nop t_arrow
let mytree_placed =
let t =
node 0 "A"
[
node 0 "B" [ node 0 "D" []; node 0 "E" [] ];
node 0 "C" [ node 1 "F" []; node 2 "G" [] ];
]
in
place_not_simple t
let tree12 = tree_adv_draw mytree_placed 0
(*parse >> <<tree13 *)
let tree13 = tree_adv_draw mytree_placed 1
(*parse >> <<tree14 *)
let tree14 = tree_adv_draw mytree_placed 2
(*parse >> *)
let _ =
List.iter
(fun (name, fig) -> Metapost.emit name (Picture.scale (Num.bp 3.) fig))
[
("tree1", tree1);
("tree2", tree2);
("tree3", tree3);
("tree4", tree4);
("tree5", tree5);
("tree6", tree6);
("tree7", tree7);
("tree8", tree8);
("tree9", tree9);
("tree10", tree10);
("tree11", tree11);
("tree12", tree12);
("tree13", tree13);
("tree14", tree14);
]
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