mp2i-vms.fr
315 lines
10 KiB
OCaml
315 lines
10 KiB
OCaml
open Graphics ;;
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Random.self_init () ;;
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let pi = 3.14159265358979343 ;;
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let rec ln10 n = match n with
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| k when k < 0 -> failwith "Are you sure about that ?"
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| k when k < 10 -> 0
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| k -> 1 + ln10 (k/10) ;;
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let delta i j =
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if i = j then 1 else 0 ;;
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let draw_integer x0 y n0 r =
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(* 7-seg display *)
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let n = ref n0 in
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let size = ln10 n0 in
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let len = r/3 in
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let offset = size*(len/2) in
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for i = 0 to size do
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let x = x0 - (-(1 - delta size 0)*8 - offset + i * (len+8)) in
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if Array.mem (!n mod 10) [|0; 4; 5; 6; 7; 8; 9|] then
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draw_poly_line [|(x-len/2, y+len); (x-len/2, y)|];
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if Array.mem (!n mod 10) [|0; 2; 3; 5; 6; 7; 8; 9|] then
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draw_poly_line [|(x-len/2, y+len); (x+len/2, y+len)|];
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if Array.mem (!n mod 10) [|0; 1; 2; 3; 4; 7; 8; 9|] then
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draw_poly_line [|(x+len/2, y+len); (x+len/2, y)|];
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if Array.mem (!n mod 10) [|2; 3; 4; 5; 6; 8; 9|] then
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draw_poly_line [|(x-len/2, y); (x+len/2, y)|];
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if Array.mem (!n mod 10) [|0; 1; 3; 4; 5; 6; 7; 8; 9|] then
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draw_poly_line [|(x+len/2, y-len); (x+len/2, y)|];
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if Array.mem (!n mod 10) [|0; 2; 3; 5; 6; 8; 9|] then
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draw_poly_line [|(x-len/2, y-len); (x+len/2, y-len)|];
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if Array.mem (!n mod 10) [|0; 2; 6; 8|] then
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draw_poly_line [|(x-len/2, y-len); (x-len/2, y)|];
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n := !n/10;
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done ;;
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let identity n = n ;;
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let square x = x *. x ;;
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let norm_int v1 v2 =
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Float.sqrt (square (float_of_int ((fst v2) - (fst v1))) +. square (float_of_int ((snd v2) - -snd v1))) ;;
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let improved_pretty_printing g wd ht r =
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let n = Array.length g in
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let coords = Array.make n (0, 0) in
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let colors = Array.make n (rgb 0 0 0) in
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for i = 0 to n-1 do
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colors.(i) <- rgb ((255 * i) / n) ((255*(i+n/3)) / n) ((255*(2*i+n/3)) / n)
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done;
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for k = 0 to n-1 do
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let theta = 2. *. pi *. (float_of_int k) /. (float_of_int (n)) +. pi /. (float_of_int (n)) in
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let i = ref (int_of_float ((float_of_int wd) /. 2.) + int_of_float ((float_of_int wd) /. 2.2 *. cos theta)) in
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let j = ref (int_of_float ((float_of_int ht) /. 2.) + int_of_float ((float_of_int ht) /. 2.2 *. sin theta)) in
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set_line_width 8 ;
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set_color colors.(k) ;
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draw_circle !i !j r;
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coords.(k) <- (!i, !j)
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done ;
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set_line_width 4 ;
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set_color black ;
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for k = 0 to n-1 do
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for l = 0 to (Array.length g.(k))-1 do
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if g.(k).(l) <> (-1) then begin
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draw_poly_line [|coords.(k); coords.(g.(k).(l))|]
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end
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done
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done;
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set_line_width 8 ;
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for k = 0 to n-1 do
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set_color colors.(k) ;
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for l = 0 to (Array.length g.(k))-1 do
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if g.(k).(l) <> (-1) then begin
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let slope = Float.atan2 (float_of_int (snd coords.(g.(k).(l)) - snd coords.(k))) (float_of_int (fst coords.(g.(k).(l)) - fst coords.(k))) in
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let nexi = int_of_float (float_of_int (fst coords.(k)) +. (float_of_int r) *. 1.75 *. cos slope) in
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let nexj = int_of_float (float_of_int (snd coords.(k)) +. (float_of_int r) *. 1.75 *. sin slope) in
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draw_poly_line [|coords.(k); (nexi, nexj)|]
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end
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done
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done;
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for k = 0 to n-1 do
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set_line_width 10 ;
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set_color black ;
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fill_circle (fst coords.(k)) (snd coords.(k)) r;
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set_color colors.(k) ;
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set_line_width 5 ;
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draw_integer (fst coords.(k)) (snd coords.(k)) k r
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done;
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ignore (Scanf.bscanf Scanf.Scanning.stdin "%d\n" identity) ;;
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(* Another version *)
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type node = {tag : int; edges : int array} ;;
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type type2graph = {width : int ; height : int ; g : node array array} ;;
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(*
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array is length 8 and indicate if there-s a path with the nodes
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[| SO ; O ; NO ; N ; NE ; E ; SE ; S |]
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*)
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let generate_type2_graph w h freq inf sup =
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let weighted_d100 i =
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let res = Random.int 100 in
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if res <= freq then res else (-1)
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in
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let gr = {width = w ; height = h ; g = Array.make w [||]} in
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for i = 0 to w-1 do
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let init_fct j = {tag = i*h + j; edges = Array.init 8 weighted_d100}
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in
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gr.g.(i) <- Array.init h init_fct;
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done;
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gr ;;
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let another_type_of_graph_printing (gr : type2graph) r d =
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let colors = Array.make_matrix gr.width gr.height (rgb 0 0 0) in
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for i = 0 to gr.width -1 do
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for j = 0 to gr.height -1 do
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if (i*gr.width + j) mod 7 = 0 then
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colors.(i).(j) <- rgb 0 0 200
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else if (i*gr.width + j) mod 7 = 1 then
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colors.(i).(j) <- rgb 0 200 0
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else if (i*gr.width + j) mod 7 = 2 then
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colors.(i).(j) <- rgb 0 200 200
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else if (i*gr.width + j) mod 7 = 3 then
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colors.(i).(j) <- rgb 200 0 0
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else if (i*gr.width + j) mod 7 = 4 then
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colors.(i).(j) <- rgb 200 0 200
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else if (i*gr.width + j) mod 7 = 5 then
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colors.(i).(j) <- rgb 200 200 0
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else
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colors.(i).(j) <- rgb 200 200 200
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done
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done;
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set_line_width 4;
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set_color black ;
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for i = 0 to gr.width -1 do
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for j = 0 to gr.height -1 do
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let node_xy = ((r + (2*r + d)*i), (r + (2*r + d)*j)) in
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if (i > 0 && j > 0) && gr.g.(i).(j).edges.(0) <> (-1) then begin (* SO *)
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draw_poly_line [|node_xy; (r + (2*r + d)*(i-1)), (r + (2*r + d)*(j-1))|] ;
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end;
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if (i > 0) && gr.g.(i).(j).edges.(1) <> (-1) then begin (* O *)
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draw_poly_line [|node_xy; (r + (2*r + d)*(i-1)), (r + (2*r + d)*j)|] ;
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end;
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if (i > 0 && j < gr.height -1) && gr.g.(i).(j).edges.(2) <> (-1) then begin (* NO *)
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draw_poly_line [|node_xy; (r + (2*r + d)*(i-1)), (r + (2*r + d)*(j+1))|] ;
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end;
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if (j < gr.height -1) && gr.g.(i).(j).edges.(3) <> (-1) then begin (* N *)
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draw_poly_line [|node_xy; (r + (2*r + d)*i), (r + (2*r + d)*(j+1))|] ;
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end;
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if (i < gr.width-1 && j < gr.height -1) && gr.g.(i).(j).edges.(4) <> (-1) then begin (* NE *)
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draw_poly_line [|node_xy; (r + (2*r + d)*(i+1)), (r + (2*r + d)*(j+1))|] ;
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end;
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if (i < gr.width-1) && gr.g.(i).(j).edges.(5) <> (-1) then begin (* E *)
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draw_poly_line [|node_xy; (r + (2*r + d)*(i+1)), (r + (2*r + d)*j)|] ;
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end;
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if (i < gr.width-1 && j > 0) && gr.g.(i).(j).edges.(6) <> (-1) then begin (* SE *)
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draw_poly_line [|node_xy; (r + (2*r + d)*(i+1)), (r + (2*r + d)*(j-1))|] ;
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end;
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if (j > 0) && gr.g.(i).(j).edges.(7) <> (-1) then begin (* S *)
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draw_poly_line [|node_xy; (r + (2*r + d)*i), (r + (2*r + d)*(j-1))|] ;
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end;
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done
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done;
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set_line_width 8;
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for i = 0 to gr.width -1 do
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for j = 0 to gr.height -1 do
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set_color colors.(i).(j) ;
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let node_xy = ((r + (2*r + d)*i), (r + (2*r + d)*j)) in
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if (i > 0 && j > 0) && gr.g.(i).(j).edges.(0) <> (-1) then begin (* SO *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*(i-1))/3, (2 * (snd node_xy) + r + (2*r + d)*(j-1))/3|] ;
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end;
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if (i > 0) && gr.g.(i).(j).edges.(1) <> (-1) then begin (* O *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*(i-1))/3, (2 * (snd node_xy) + r + (2*r + d)*j)/3|] ;
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end;
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if (i > 0 && j < gr.height -1) && gr.g.(i).(j).edges.(2) <> (-1) then begin (* NO *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*(i-1))/3, (2 * (snd node_xy) + r + (2*r + d)*(j+1))/3|] ;
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end;
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if (j < gr.height -1) && gr.g.(i).(j).edges.(3) <> (-1) then begin (* N *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*i)/3, (2 * (snd node_xy) + r + (2*r + d)*(j+1))/3|] ;
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end;
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if (i < gr.width-1 && j < gr.height -1) && gr.g.(i).(j).edges.(4) <> (-1) then begin (* NE *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*(i+1))/3, (2 * (snd node_xy) + r + (2*r + d)*(j+1))/3|] ;
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end;
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if (i < gr.width-1) && gr.g.(i).(j).edges.(5) <> (-1) then begin (* E *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*(i+1))/3, (2 * (snd node_xy) + r + (2*r + d)*j)/3|] ;
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end;
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if (i < gr.width-1 && j > 0) && gr.g.(i).(j).edges.(6) <> (-1) then begin (* SE *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*(i+1))/3, (2 * (snd node_xy) + r + (2*r + d)*(j-1))/3|] ;
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end;
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if (j > 0) && gr.g.(i).(j).edges.(7) <> (-1) then begin (* S *)
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draw_poly_line [|node_xy; (2 * (fst node_xy) + r + (2*r + d)*i)/3, (2 * (snd node_xy) + r + (2*r + d)*(j-1))/3|] ;
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end;
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done
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done;
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set_line_width 5;
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for i = 0 to gr.width -1 do
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for j = 0 to gr.height -1 do
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set_color (rgb 48 48 48) ;
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fill_circle (r + (2*r + d)*i) (r + (2*r + d)*j) r ;
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set_color black ;
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draw_circle (r + (2*r + d)*i) (r + (2*r + d)*j) r ;
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set_color colors.(i).(j) ;
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draw_integer (r + (2*r + d)*i) (r + (2*r + d)*j) gr.g.(i).(j).tag r
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done
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done ;
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ignore (Scanf.bscanf Scanf.Scanning.stdin "%d\n" identity) ;;
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(* ----------------------- Tests --------------------------- *)
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open_graph " 1200x800" ;;
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set_window_title "Graphs" ;;
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let type2 = generate_type2_graph 8 6 40 1 1 ;;
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another_type_of_graph_printing type2 35 75 ;;
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close_graph () ;;
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(* ----------------------- Tests --------------------------- *)
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open_graph " 1200x800" ;;
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set_window_title "Graphs" ;;
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let generate_full_graph k =
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let res = Array.make k [||] in
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for i = 0 to k-1 do
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res.(i) <- Array.make (k-1) 0
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done;
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for x = 0 to k-1 do
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for y = 0 to k-1 do
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if x < y then
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res.(x).(y-1) <- y
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else if x > y then
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res.(x).(y) <- y
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done
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done;
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res ;;
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let generate_random_graph k freq =
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let res = Array.make k [||] in
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for i = 0 to k-1 do
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res.(i) <- Array.make (k-1) (-1)
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done;
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for x = 0 to k-1 do
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for y = 0 to k-1 do
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if (Random.int 100) < freq then
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if x < y then
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res.(x).(y-1) <- y
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else if x > y then
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res.(x).(y) <- y
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done
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done;
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res ;;
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let gr = [|[|3; 5; 7|]; [|0|]; [|1; 7; 8|]; [|2; 6; 9; 10|]; [|0; 1; 3|]; [|6; 7|]; [|0; 1; 2|]; [|8|]; [|0; 7; 6|]; [|10; 11|]; [|3; 5; 7|]; [|0; 9|]|] ;;
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let fulg = generate_full_graph 16 ;;
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let rang = generate_random_graph 9 50 ;;
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(*improved_pretty_printing gr 1200 800 50*) ;;
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(*improved_pretty_printing fulg 1200 800 25 ;;*)
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improved_pretty_printing rang 1200 800 45 ;;
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close_graph () ;;
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(* compilation command : ocamlfind ocamlc -linkpkg -package unix -linkpkg -package graphics graphs.ml *) |