File: othergraphs.ml

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(**************************************************************************)
(*                                                                        *)
(*  Copyright (C) Johannes Kanig, Stephane Lescuyer                       *)
(*  Jean-Christophe Filliatre, Romain Bardou and Francois Bobot           *)
(*                                                                        *)
(*  This software is free software; you can redistribute it and/or        *)
(*  modify it under the terms of the GNU Library General Public           *)
(*  License version 2.1, with the special exception on linking            *)
(*  described in file LICENSE.                                            *)
(*                                                                        *)
(*  This software is distributed in the hope that it will be useful,      *)
(*  but WITHOUT ANY WARRANTY; without even the implied warranty of        *)
(*  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                  *)
(*                                                                        *)
(**************************************************************************)

open Mlpost
open Num
open Box
open Command
open Point
open Path
module Co = Color
module P = Pen
module T = Transform
module N = Num
module H = Helpers

let a = 0., 0.
let b = 1., 0.
let c = 0., 1.
let l = [a ; b ; c]
let d1 = 1, draw (path ~style:jLine ~scale:N.cm l)
let d2 = 2, draw (path ~style:jLine ~scale:N.cm ~cycle:jLine l)

let d4 =  
  let pen = Pen.scale (bp 4.) Pen.circle in
    4, draw ~pen (path ~scale:N.cm [a]) 

let d5 = 5,
  let pen = Pen.scale (bp 4.) P.circle in
  seq [ draw (path ~style:jLine ~scale:N.cm ~cycle:jLine l);
  seq (List.map (fun point -> draw ~pen (path ~scale:N.cm [point])) l) ]

let d7 = 7,
         let a , b, c = cmp a, cmp b, cmp c in
           seq [draw (path ~style:jLine ~scale:N.cm ~cycle:jLine l) ;
                draw (pathp [ segment 0.5 a b ; c]) ;
                draw (pathp [ segment 0.5 b c ; a]) ;
                draw (pathp [ segment 0.5 c a ; b]) ; ]

let d12 = 12,
          let pen = Pen.scale two Pen.circle in
          let cl = List.map Color.gray [0.8;0.6;0.4] in
          seq
            (List.map2
              (fun (a,b) color ->
                 draw ~pen ~color (path ~style:jLine ~scale:N.cm [a;b]))
              [a,b;b,c;c,a] cl)

let triangle = 
  path ~scale:N.cm ~style:jLine ~cycle:jLine [(0.,0.);(1.,0.);(0.,1.)]

let d20 =
  20, fill ~color:(Color.gray 0.8) triangle

let d21 =
  21, seq [fill ~color:(Color.gray 0.8) triangle; draw triangle]

let d22 =
  let pen = Pen.scale two Pen.circle in
  22, seq [fill ~color:(Color.gray 0.8) triangle; draw ~pen triangle]

let d23 =
  let pen = Pen.scale two Pen.circle in
  23, seq [draw ~pen triangle; fill ~color:(Color.gray 0.8) triangle]

let d60 =
  let a = p ~scale:N.cm (0.,0.) in
  let b = p ~scale:N.cm ((-0.5), 1.) in
  let c = p ~scale:N.cm (2., 1.5) in
  let d = p ~scale:N.cm (1.5, 0.) in
  let pen = Pen.scale two Pen.circle in
    seq [ draw ~pen (jointpathp [a;d] [jControls b c]);
      draw ~color:(Co.gray 0.8) (pathp ~style:jLine [b;c]);
      H.draw_simple_arrow a b; H.draw_simple_arrow d c; ]


let d111 =
  let a = Path.shift (p ~scale:N.cm (0.5, 0.))
                    (Path.scale (N.cm 2.) fullcircle) in
  let t = [T.rotated 120.] in
  let b = transform t a in
  let c = transform t b in
  seq
    (List.map (fun (color, p) -> fill ~color p)
      [ Co.red, a ; Co.green, b; Co.blue, c; Co.yellow, build_cycle [a;b]; 
        Co.cyan, build_cycle [b;c]; Co.magenta, build_cycle [c;a]; 
        Co.white, build_cycle [a;b;c] ] @ List.map draw [a;b;c])


let deuxpi = 2.*.3.14159

let d130 =
  let sq = path ~style:jLine ~scale:N.cm ~cycle:jLine 
    [(0.,0.);(2.,0.);(2.,2.);(0.,2.)] in
    (** on peut pas utiliser la resolution de MetaPost donc on
	construit la transform à la main.. :-/ *)
  let ratio = sqrt (3.28 /. 4.) in
  let angle = atan (0.2 /. 1.8) *. 360. /. deuxpi in
  let v = pt (Num.cm 0.2, Num.cm 0.) in
  let t = [T.rotated angle; T.scaled (bp ratio); T.shifted v] in
  let rec apply acc = function 0 -> acc | n -> apply (transform t acc) (n-1) in
  let cmd i = 
    let p = apply sq (2*i) in
    seq [fill ~color:(Color.gray 0.8) p;
	 fill ~color:Color.white (transform t p)]
  in
    130, iter 0 49 cmd

let d140 =
  let cmd i =
    let s = 1. -. ((float_of_int i) *. 0.01) in
      fill ~color:(Color.gray s) 
        (Path.scale (Num.cm (2.*.s)) fullcircle)
  in
  140, seq [iter 0 99 cmd;
	draw ~pen:(Pen.scale two Pen.circle)
          (Path.scale (Num.cm 2.) fullcircle)]

let d149 =
  let step = deuxpi /. 720. in
  let couleur x =
    let dblx = 2.*.x in
      if x > 0.5 then Color.rgb (dblx-.1.) 0. (2.-.dblx)
      else Color.rgb (1.-.dblx) 0. dblx in
  let pt angle = (2.*.sin(2.*.angle), 2.*.cos(3.*.angle)) in
  let pen = Pen.scale two Pen.circle in
  let cmd i =
    let angle = step *. (float_of_int i) in
    draw  ~color:(couleur (angle /. deuxpi)) ~pen 
      (path ~scale:N.cm [pt angle])
  in
    149,Command.iter 0 719 cmd

let d195 = 
  let n = 8 and u x = 5.*. (float_of_int x) in
  let un = u n and u1 = u 1 and udemi = (u 1) /. 5. in
  let color = Color.gray 0.8 in
  let t i j = T.shifted (pt (Num.mm (u i), Num.mm (u j))) in
  let row i =
    let col j =
      if (i+j) mod 2 = 1 then
	let strip k =
	  let kf = (float_of_int k) *. udemi in let umk = u1 -. kf in
	  let udp = kf +. udemi and udm = umk -. udemi in
	  let l = 
	    if k mod 2 = 1 then [(kf,0.); (u1,umk); (u1,udm); (udp,0.)]
	    else [(0.,kf); (umk,u1); (udm,u1); (0.,udp)]
	  in fill ~color (transform [t i j]
			    (path ~style:jLine ~scale:N.mm ~cycle:jLine l))
	in
	Command.iter 0 4 strip
      else Command.nop
    in 
    Command.iter 0 (n-1) col
  in
  let grid i =
    let ui = u i in
    seq [draw (path ~style:jLine ~scale:N.mm [(0.,ui); (un, ui)]);
	 draw (path ~style:jLine ~scale:N.mm [(ui,0.); (ui, un)])]
  in
    195, seq [Command.iter 0 (n-1) row; Command.iter 0 (n) grid]

let d267 = 
  let tex = tex ~stroke:(Some Color.black) in
  let rose = Color.rgb 1. 0.5 0.5 in
  let a = tex ~fill:rose ~style:RoundBox "D\\'ebut" in
  let b = Box.shift (cmp (2., 0.)) (tex ~fill:rose ~style:RoundBox "Fin") in
  let path angle a b =
    cut_after (bpath b) 
      (cut_before (bpath a) 
	  (jointpathk
	      [knotp ~r:(vec (dir angle)) (Box.ctr a); 
	       knotp ~r:(vec (dir (-. angle))) (Box.ctr b)] [jCurve])) 
  in
    seq [Box.draw a; Box.draw b;
   Arrow.simple (path 45. a b); Arrow.simple (path (-135.) b a)]

let min = -1.
let max = 1.

let b = (cycle ~style:jLine (path ~style:jLine [(min,min);(max,min);(max,max);(min,max)]))

(* Pour avoir une echelle *)
let embed (id,p) = 
  id,seq [p;draw b;fill ~color:Color.white b]

let figs = 
  [ d1; d2; d4; d5; d7; d12; d20; d21; d22; d23; 60, d60; 111, d111; 
    d130; d140; d149; d195; 267,d267 ]

let mpostfile = "othergraphs"
let cairostfile = "testother_cairo"
let texfile = "othergraphs.tex"

(*
let _ =
    Metapost.generate_mp mpostfile figs;
    Generate.generate_tex texfile "othergraphs/mpost" "othergraph" figs
*)

let _ =
  Sys.chdir "test";
  if Cairost.supported then
    begin
      Metapost.generate mpostfile ~pdf:true figs;
      Cairost.generate_pdfs cairostfile figs;
      Generate.generate_tex_cairo texfile "othergraphs/mpost" "othergraphs"
      "testother_cairo" figs;
    end
  else
    begin
      Metapost.generate mpostfile ~pdf:true figs;
      Generate.generate_tex ~pdf:true texfile "othergraphs/mpost" "othergraphs" figs;
    end