mp2i-vms.fr
Initial commit
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9e81484dff
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This is a less broken version of the Math Game
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The way you play this : an arithmetic equation is shown on the screen, answer fast to earn more points
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[Right now the core game function hasn't been implemented so please wait]
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open Graphics ;;
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Random.self_init () ;;
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(* Dynamic getchar function *)
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let get1char () =
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let termio = Unix.tcgetattr Unix.stdin in
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let () =
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Unix.tcsetattr Unix.stdin Unix.TCSADRAIN
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{ termio with Unix.c_icanon = false } in
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let res = input_char stdin in
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Unix.tcsetattr Unix.stdin Unix.TCSADRAIN termio;
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res
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(* Some digit display functions *)
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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 abs n =
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if n > 0 then n else -n ;;
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let draw_integer x0 y n0 len =
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(* 7-seg display *)
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set_line_width (max 1 (len/4));
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let n = ref n0 in
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let size = ln10 (abs n0) in
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let offset = ref (size*(len*11/7)/2) in
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let initial_i = ref 1 in
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if !n < 0 then begin
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offset := (size+1)*(len*11/7)/2;
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let x = x0 + !offset - (size+1)*(len*11/7) in
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draw_poly_line [|(x-len/2, y); (x+len/2, y)|];
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n := !n * (-1);
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decr initial_i ;
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end;
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for i = !initial_i to (size + !initial_i) do
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let x = x0 + !offset - i*(len*11/7) 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 draw_integer_alignedleft x0 y n0 len =
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(* 7-seg display 2 *)
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set_line_width (max 1 (len/4));
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let n = ref n0 in
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let size = ln10 (abs n0) in
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let offset = ref (((size+1)*len)/2) in
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let initial_i = ref 0 in
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if !n < 0 then begin
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offset := ((size+2)*len)/2;
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draw_poly_line [|(x0, y); (x0+len/2, y)|];
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n := !n * (-1);
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incr initial_i ;
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end;
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for i = !initial_i to (size + !initial_i) do
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let x = x0 + (!offset - i*len)*11/7 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, y+len); (x, 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, y+len); (x+len, 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, y+len); (x+len, 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, y); (x+len, 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, y-len); (x+len, 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, y-len); (x+len, 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, y-len); (x, y)|];
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n := !n/10;
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done ;;
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(* Arithmetical functions *)
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type calcul =
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Val of int |
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Plus of calcul * calcul |
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Minus of calcul * calcul |
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Exp of calcul * int | (* u^n *)
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Multiply of calcul * calcul ;;
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let print_sign c x y len = match c with
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| '+' -> draw_poly_line [|(x, y); (x+len, y)|]; draw_poly_line [|(x+len/2, y+len/2); (x+len/2, y-len/2)|]
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| '-' -> draw_poly_line [|(x, y); (x+len, y)|]
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| '*' -> draw_poly_line [|(x+len/4, y+len/2); (x+3*len/4, y-len/2)|]; draw_poly_line [|(x+len/4, y-len/2); (x+3*len/4, y+len/2)|]
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| '^' -> () (* TODO *)
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| '(' ->
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moveto (x+len) (y+len+len/5);
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set_line_width (max 1 (len/4));
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set_color black ;
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curveto (x+len/2, y) (x+len/2, y) (x+len, y-len-len/5)
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| ')' ->
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moveto (x) (y+len+len/5);
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set_line_width (max 1 (len/4));
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set_color black ;
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curveto (x+len/2, y) (x+len/2, y) (x, y-len-len/5)
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| _ -> () ;;
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let print_math fm x0 y0 size =
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let current_x = ref x0 in
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let current_y = ref y0 in
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let rec aux f = match f with
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| Val x ->
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current_x := !current_x + size/3;
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draw_integer_alignedleft (!current_x) !current_y x size;
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current_x := !current_x + (size*(2 + ln10 (abs x)));
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current_x := !current_x + size/3
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| Plus (a, b) ->
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aux a;
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print_sign '+' !current_x !current_y size;
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current_x := !current_x + size*11/7;
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aux b
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| Minus (a, b) ->
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aux a;
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print_sign '-' !current_x !current_y size;
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current_x := !current_x + size*11/7;
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aux b
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| Multiply (a, b) ->
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aux a;
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print_sign '*' !current_x !current_y size;
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current_x := !current_x + size*11/7;
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aux b
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| Exp (a, n) ->
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()
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in aux fm ;;
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let generate_tier_1 length inf sup =
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let rec aux n = match (Random.int 2) with
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| 0 -> begin
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match n with
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| 0 -> Val (1 + Random.int (sup-inf) + inf)
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| 1 -> Val (1 + Random.int (sup-inf) + inf)
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| k -> Plus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
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end
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| 1 -> begin
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match n with
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| 0 -> Val (1 + Random.int (sup-inf) + inf)
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| 1 -> Val (1 + Random.int (sup-inf) + inf)
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| k -> Minus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
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end
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| _ -> failwith "Never happen"
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in aux length ;;
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let generate_tier_2 length inf sup mreduction =
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let rec aux n = match (Random.int 3) with
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| 0 -> begin
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match n with
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| 0 -> Val (1 + Random.int (sup-inf) + inf)
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| 1 -> Val (1 + Random.int (sup-inf) + inf)
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| k -> Plus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
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end
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| 1 -> begin
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match n with
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| 0 -> Val (1 + Random.int (sup-inf) + inf)
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| 1 -> Val (1 + Random.int (sup-inf) + inf)
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| k -> Minus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
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end
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| 2 -> begin
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match n with
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| 0 -> Val (1 + Random.int (sup-inf) + inf)
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| 1 -> Val (1 + Random.int (sup-inf) + inf)
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| k -> Plus (Multiply (Val ((1 + Random.int (sup-inf) + inf)/mreduction), Val ((1 + Random.int (sup-inf) + inf)/mreduction)), aux (k-2))
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end
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| _ -> failwith "Never happen"
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in aux length ;;
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let rec pw x n = match n with
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| 0 -> 1
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| 1 -> x
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| k when k mod 2 = 0 -> let res = pw x (n/2) in res*res
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| k -> let res = pw x (n/2) in res*res*x ;;
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(* Boi *)
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let rec eval_exp fm = match fm with
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| Plus (a, b) -> Plus (eval_exp a, eval_exp b)
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| Minus (a, b) -> Minus (eval_exp a, eval_exp b)
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| Multiply (a, b) -> Multiply (eval_exp a, eval_exp b)
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| Val x -> Val x
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| Exp (a, n) -> Val (pw (evaluate a) n)
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and eval_mult fm = match fm with
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| Plus (a, b) -> Plus (eval_mult a, eval_mult b)
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| Minus (a, b) -> Minus (eval_mult a, eval_mult b)
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| Val x -> Val x
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| Exp (a, n) -> Exp(eval_mult a, n)
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| Multiply (a, b) -> Val ((evaluate a) * (evaluate b))
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and eval_plus fm = match fm with
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| Val x -> x
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| Plus (a, b) -> (evaluate a) + (evaluate b)
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| Minus (a, b) -> (evaluate a) - (evaluate b)
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| Exp (a, n) -> failwith "_Impossible"
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| Multiply (a, b) -> failwith "Impossible_"
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and evaluate fm =
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eval_plus (eval_mult (eval_exp fm)) ;;
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(* Core functions *)
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let update_char code buf = match code with
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| k when k >= 48 && k <= 57 ->
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(* Integer *)
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if !buf >= 0 then begin
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buf := !buf * 10;
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buf := !buf + code - 48;
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end
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else begin
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buf := !buf * (-1);
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buf := !buf * 10;
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buf := !buf + code - 48;
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buf := !buf * (-1);
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end;
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true
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| 45 ->
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(* Minus sign *)
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buf := !buf * (-1); true
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| 127 ->
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(* Delete *)
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if !buf >= 0 then begin
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buf := !buf / 10
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end
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else begin
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buf := !buf * (-1);
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buf := !buf / 10;
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buf := !buf * (-1);
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end;
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true
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| 10 ->
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(* Enter *)
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let math = (generate_tier_2 6 1 100 5) in
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print_math math 10 900 15;
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buf := evaluate math;
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draw_integer 300 300 !buf 20;
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Unix.sleepf 15.0;
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true
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| _ ->
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false ;;
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(* Main *)
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let main () =
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open_graph " 1000x1000";
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set_window_title "Math";
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let buffer = ref 0 in
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try
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while true do
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let ch = get1char () in
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let chint = Char.code ch in
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if update_char chint buffer then begin
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open_graph " 1000x1000";
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set_window_title "Math";
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draw_integer 300 300 !buffer 20;
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end;
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Unix.sleepf 0.025
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done;
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with
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| exn -> close_graph (); raise exn ;;
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main () ;;
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(* ocamlfind ocamlc -linkpkg -package unix -linkpkg -package graphics main.ml *)
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