MathGame_V2/main.ml

open Graphics ;;

Random.self_init () ;;

(* Dynamic getchar function *)

let get1char () =
    let termio = Unix.tcgetattr Unix.stdin in
    let () =
        Unix.tcsetattr Unix.stdin Unix.TCSADRAIN
            { termio with Unix.c_icanon = false } in
    let res = input_char stdin in
    Unix.tcsetattr Unix.stdin Unix.TCSADRAIN termio;
    res

(* Some digit display functions *)

let rec ln10 n = match n with
    | k when k < 0 -> failwith "Are you sure about that ?"
    | k when k < 10 -> 0
    | k -> 1 + ln10 (k/10) ;;

let delta i j =
    if i = j then 1 else 0 ;; 

let abs n = 
    if n > 0 then n else -n ;;

let draw_integer x0 y n0 len =
    (* 7-seg display *)
    set_line_width (max 1 (len/4));
    let n = ref n0 in
    let size = ln10 (abs n0) in
    let offset = ref (size*(len*11/7)/2) in

    let initial_i = ref 1 in

    if !n < 0 then begin
        offset := (size+1)*(len*11/7)/2;
        let x = x0 + !offset - (size+1)*(len*11/7) in
        draw_poly_line [|(x-len/2, y); (x+len/2, y)|];
        n := !n * (-1);
        decr initial_i ;
    end;

    for i = !initial_i to (size + !initial_i) do
        let x = x0 + !offset - i*(len*11/7) in
        if Array.mem (!n mod 10) [|0; 4; 5; 6; 7; 8; 9|] then
            draw_poly_line [|(x-len/2, y+len); (x-len/2, y)|];

        if Array.mem (!n mod 10) [|0; 2; 3; 5; 6; 7; 8; 9|] then
            draw_poly_line [|(x-len/2, y+len); (x+len/2, y+len)|];

        if Array.mem (!n mod 10) [|0; 1; 2; 3; 4; 7; 8; 9|] then
            draw_poly_line [|(x+len/2, y+len); (x+len/2, y)|];

        if Array.mem (!n mod 10) [|2; 3; 4; 5; 6; 8; 9|] then
            draw_poly_line [|(x-len/2, y); (x+len/2, y)|];

        if Array.mem (!n mod 10) [|0; 1; 3; 4; 5; 6; 7; 8; 9|] then
            draw_poly_line [|(x+len/2, y-len); (x+len/2, y)|];

        if Array.mem (!n mod 10) [|0; 2; 3; 5; 6; 8; 9|] then
            draw_poly_line [|(x-len/2, y-len); (x+len/2, y-len)|];

        if Array.mem (!n mod 10) [|0; 2; 6; 8|] then
            draw_poly_line [|(x-len/2, y-len); (x-len/2, y)|];

        n := !n/10;
    done ;;

let draw_integer_alignedleft x0 y n0 len =
    (* 7-seg display 2 *)
    set_line_width (max 1 (len/4));
    let n = ref n0 in
    let size = ln10 (abs n0) in
    let offset = ref (((size+1)*len)/2) in

    let initial_i = ref 0 in

    if !n < 0 then begin
        offset := ((size+2)*len)/2;
        draw_poly_line [|(x0, y); (x0+len/2, y)|];
        n := !n * (-1);
        incr initial_i ;
    end;

    for i = !initial_i to (size + !initial_i) do
        let x = x0 + (!offset - i*len)*11/7 in
        if Array.mem (!n mod 10) [|0; 4; 5; 6; 7; 8; 9|] then
            draw_poly_line [|(x, y+len); (x, y)|];

        if Array.mem (!n mod 10) [|0; 2; 3; 5; 6; 7; 8; 9|] then
            draw_poly_line [|(x, y+len); (x+len, y+len)|];

        if Array.mem (!n mod 10) [|0; 1; 2; 3; 4; 7; 8; 9|] then
            draw_poly_line [|(x+len, y+len); (x+len, y)|];

        if Array.mem (!n mod 10) [|2; 3; 4; 5; 6; 8; 9|] then
            draw_poly_line [|(x, y); (x+len, y)|];

        if Array.mem (!n mod 10) [|0; 1; 3; 4; 5; 6; 7; 8; 9|] then
            draw_poly_line [|(x+len, y-len); (x+len, y)|];

        if Array.mem (!n mod 10) [|0; 2; 3; 5; 6; 8; 9|] then
            draw_poly_line [|(x, y-len); (x+len, y-len)|];

        if Array.mem (!n mod 10) [|0; 2; 6; 8|] then
            draw_poly_line [|(x, y-len); (x, y)|];

        n := !n/10;
    done ;;

(* Arithmetical functions *)

type calcul = 
    Val of int |
    Plus of calcul * calcul |
    Minus of calcul * calcul |
    Exp of calcul * int | (* u^n *)
    Multiply of calcul * calcul ;;

let print_sign c x y len = match c with
    | '+' -> draw_poly_line [|(x, y); (x+len, y)|]; draw_poly_line [|(x+len/2, y+len/2); (x+len/2, y-len/2)|]
    | '-' -> draw_poly_line [|(x, y); (x+len, y)|]
    | '*' -> 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)|]
    | '^' -> () (* TODO *)
    | '(' -> 
        moveto (x+len) (y+len+len/5);
        set_line_width (max 1 (len/4));
        set_color black ;
        curveto (x+len/2, y) (x+len/2, y) (x+len, y-len-len/5)
    | ')' -> 
        moveto (x) (y+len+len/5);
        set_line_width (max 1 (len/4));
        set_color black ;
        curveto (x+len/2, y) (x+len/2, y) (x, y-len-len/5)
    | _ -> () ;;

let print_math fm x0 y0 size =
    let current_x = ref x0 in
    let current_y = ref y0 in
    let rec aux f = match f with
        | Val x -> 
            current_x := !current_x + size/3;
            draw_integer_alignedleft (!current_x) !current_y x size;
            current_x := !current_x + (size*(2 + ln10 (abs x)));
            current_x := !current_x + size/3
        | Plus (a, b) ->
            aux a;
            print_sign '+' !current_x !current_y size;
            current_x := !current_x + size*11/7;
            aux b
        | Minus (a, b) ->
            aux a;
            print_sign '-' !current_x !current_y size;
            current_x := !current_x + size*11/7;
            aux b
        | Multiply (a, b) ->
            aux a;
            print_sign '*' !current_x !current_y size;
            current_x := !current_x + size*11/7;
            aux b
        | Exp (a, n) ->
            ()

    in aux fm ;;

let generate_tier_1 length inf sup = 
    let rec aux n = match (Random.int 2) with
        | 0 -> begin
            match n with
                | 0 -> Val (1 + Random.int (sup-inf) + inf)
                | 1 -> Val (1 + Random.int (sup-inf) + inf)
                | k -> Plus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
        end
        | 1 -> begin
            match n with
                | 0 -> Val (1 + Random.int (sup-inf) + inf)
                | 1 -> Val (1 + Random.int (sup-inf) + inf)
                | k -> Minus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
        end
        | _ -> failwith "Never happen"
    in aux length ;;

let generate_tier_2 length inf sup mreduction = 
    let rec aux n = match (Random.int 3) with
        | 0 -> begin
            match n with
                | 0 -> Val (1 + Random.int (sup-inf) + inf)
                | 1 -> Val (1 + Random.int (sup-inf) + inf)
                | k -> Plus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
        end
        | 1 -> begin
            match n with
                | 0 -> Val (1 + Random.int (sup-inf) + inf)
                | 1 -> Val (1 + Random.int (sup-inf) + inf)
                | k -> Minus (aux (k-1), Val (1 + Random.int (sup-inf) + inf))
        end
        | 2 -> begin
            match n with
                | 0 -> Val (1 + Random.int (sup-inf) + inf)
                | 1 -> Val (1 + Random.int (sup-inf) + inf)
                | k -> Plus (Multiply (Val ((1 + Random.int (sup-inf) + inf)/mreduction), Val ((1 + Random.int (sup-inf) + inf)/mreduction)), aux (k-2))
        end
        | _ -> failwith "Never happen"
    in aux length ;;


let rec pw x n = match n with
    | 0 -> 1
    | 1 -> x
    | k when k mod 2 = 0 -> let res = pw x (n/2) in res*res
    | k -> let res = pw x (n/2) in res*res*x ;;

(* Boi *)

let rec eval_exp fm = match fm with
    | Plus (a, b) -> Plus (eval_exp a, eval_exp b)
    | Minus (a, b) -> Minus (eval_exp a, eval_exp b)
    | Multiply (a, b) -> Multiply (eval_exp a, eval_exp b)
    | Val x -> Val x 

    | Exp (a, n) -> Val (pw (evaluate a) n)

and eval_mult fm = match fm with
    | Plus (a, b) -> Plus (eval_mult a, eval_mult b)
    | Minus (a, b) -> Minus (eval_mult a, eval_mult b)
    | Val x -> Val x 
    | Exp (a, n) -> Exp(eval_mult a, n)

    | Multiply (a, b) -> Val ((evaluate a) * (evaluate b))

and eval_plus fm = match fm with
    | Val x -> x

    | Plus (a, b) -> (evaluate a) + (evaluate b)
    | Minus (a, b) -> (evaluate a) - (evaluate b)

    | Exp (a, n) -> failwith "_Impossible"
    | Multiply (a, b) -> failwith "Impossible_"

and evaluate fm = 
    eval_plus (eval_mult (eval_exp fm)) ;;

(* Core functions *)

let update_char code buf = match code with
    | k when k >= 48 && k <= 57 -> 
        (* Integer *)
        if !buf >= 0 then begin
            buf := !buf * 10;
            buf := !buf + code - 48;
        end
        else begin
            buf := !buf * (-1);

            buf := !buf * 10;
            buf := !buf + code - 48;

            buf := !buf * (-1);
        end;
        true
    | 45 -> 
        (* Minus sign *)
        buf := !buf * (-1); true
    | 127 -> 
        (* Delete *)
        if !buf >= 0 then begin
            buf := !buf / 10
        end
        else begin
            buf := !buf * (-1);

            buf := !buf / 10;

            buf := !buf * (-1);
        end;
        true
    | 10 -> 
        (* Enter *)
        let math = (generate_tier_2 6 1 100 5) in
        print_math math 10 900 15;
        buf := evaluate math;
        draw_integer 300 300 !buf 20;
        Unix.sleepf 15.0;
        true
    | _ -> 
        false ;;

(* Main *)

let main () = 
    open_graph " 1000x1000";
    set_window_title "Math";

    let buffer = ref 0 in

    try
        while true do
            let ch = get1char () in
            let chint = Char.code ch in
            
            if update_char chint buffer then begin
                open_graph " 1000x1000";
                set_window_title "Math";

                draw_integer 300 300 !buffer 20;
                end;

            Unix.sleepf 0.025
        done;
    with
        | exn -> close_graph (); raise exn ;;

main () ;;

(* ocamlfind ocamlc -linkpkg -package unix -linkpkg -package graphics main.ml *)