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(*
This file is part of licht.

licht is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

licht 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.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with licht.  If not, see <http://www.gnu.org/licenses/>.
*)

module D = DataType
module T = Tools

type _ typ =
  | Unit : unit typ
  | Bool : D.Bool.t typ
  | Num : D.Num.t typ
  | String : UTF8.t typ
  | List : 'a typ -> 'a list typ

let t_unit = Unit
let t_bool : DataType.Bool.t typ = Bool
let t_int : DataType.Num.t typ = Num
let t_string : UTF8.t typ = String
let t_list (t : 'a typ) : 'a list typ = List t

let typ_of_format : type a. a ScTypes.DataFormat.t -> a typ = function
  | ScTypes.DataFormat.Date -> Num
  | ScTypes.DataFormat.Number -> Num
  | ScTypes.DataFormat.String -> String
  | ScTypes.DataFormat.Bool -> Bool

let rec repr : type a. Format.formatter -> a typ -> unit =
 fun printer typ ->
  match typ with
  | Unit -> Format.fprintf printer "Unit"
  | Bool -> Format.fprintf printer "Bool"
  | Num -> Format.fprintf printer "Num"
  | String -> Format.fprintf printer "String"
  | List t -> Format.fprintf printer "List[%a]" (repr [@tailcall]) t

module C = Catalog.Make (struct
  let repr = repr

  let rec compare_typ : type a b. a typ -> b typ -> (a, b) T.cmp =
   fun a b ->
    match (a, b) with
    | Unit, Unit -> T.Eq
    | Bool, Bool -> T.Eq
    | Num, Num -> T.Eq
    | String, String -> T.Eq
    | List l1, List l2 -> (
        match compare_typ l1 l2 with
        | T.Lt -> T.Lt
        | T.Eq -> T.Eq
        | T.Gt -> T.Gt)
    | x, y -> if T.Ex x > T.Ex y then T.Gt else T.Lt

  type 'a t = 'a typ
  type 'a returnType = 'a ScTypes.ReturnType.t
end)

let f_num = ScTypes.ReturnType.f_num
let f_date = ScTypes.ReturnType.f_date
let f_number = ScTypes.ReturnType.f_number
let f_string = ScTypes.ReturnType.f_string
let f_bool = ScTypes.ReturnType.f_bool

module Make_Compare (Comp : D.COMPARABLE) = struct
  let register t catalog =
    catalog
    |> C.register2 "=" (t, t) f_bool Comp.eq
    |> C.register2 "<>" (t, t) f_bool Comp.neq
    |> C.register2 ">" (t, t) f_bool Comp.gt
    |> C.register2 ">=" (t, t) f_bool Comp.ge
    |> C.register2 "<" (t, t) f_bool Comp.lt
    |> C.register2 "<=" (t, t) f_bool Comp.le
end

let built_in catalog =
  let module CompareNum = Make_Compare (D.Num) in
  let module CompareString = Make_Compare (D.String) in
  let module CompareBool = Make_Compare (D.Bool) in
  (* Helper for list functions : reduce over a list of elements *)
  let reduce name typ res f c =
    C.register1 name (t_list typ) res
      (fun x -> List.fold_left f (List.hd x) x)
      c
    |> C.register1 name
         (t_list (t_list typ))
         res
         (fun x -> List.fold_left (List.fold_left f) (List.hd (List.hd x)) x)
  in

  (* Helper for list functions : fold over a list of elements *)
  let fold name t_in t_out f init c =
    C.register1 name (t_list t_in) t_out (fun x -> List.fold_left f init x) c
    |> C.register1 name
         (t_list (t_list t_in))
         t_out
         (fun x -> List.fold_left (List.fold_left f) init x)
  in

  let if_ : type a. bool -> a -> a -> a = fun a b c -> if a then b else c in

  (* Build a date *)
  C.register3 "date" (t_int, t_int, t_int) f_date
    (fun year month day ->
      D.Date.get_julian_day (D.Num.to_int year) (D.Num.to_int month)
        (D.Num.to_int day))
    catalog
  |> CompareNum.register t_int
  |> C.register1 "rand" t_unit f_number D.Num.rnd
  |> C.register1 "pi" t_unit f_number (fun () -> D.Num.of_float (4. *. atan 1.))
  |> C.register1 "sin" t_int f_number (fun x ->
         D.Num.of_float (sin (D.Num.to_float x)))
  |> C.register1 "cos" t_int f_number (fun x ->
         D.Num.of_float (cos (D.Num.to_float x)))
  |> C.register1 "tan" t_int f_number (fun x ->
         D.Num.of_float (tan (D.Num.to_float x)))
  |> C.register1 "atan" t_int f_number (fun x ->
         D.Num.of_float (atan (D.Num.to_float x)))
  |> C.register1 "asin" t_int f_number (fun x ->
         D.Num.of_float (asin (D.Num.to_float x)))
  |> C.register1 "acos" t_int f_number (fun x ->
         D.Num.of_float (acos (D.Num.to_float x)))
  |> C.register1 "sinh" t_int f_number (fun x ->
         D.Num.of_float (sinh (D.Num.to_float x)))
  |> C.register1 "cosh" t_int f_number (fun x ->
         D.Num.of_float (cosh (D.Num.to_float x)))
  |> C.register1 "tanh" t_int f_number (fun x ->
         D.Num.of_float (tanh (D.Num.to_float x)))
  |> C.register2 "atan2" (t_int, t_int) f_number (fun x y ->
         D.Num.of_float (atan2 (D.Num.to_float x) (D.Num.to_float y)))
  |> C.register1 "sqrt" t_int f_number (fun x ->
         D.Num.of_float (sqrt (D.Num.to_float x)))
  |> C.register1 "exp" t_int f_number (fun x ->
         D.Num.of_float (exp (D.Num.to_float x)))
  |> C.register1 "ln" t_int f_number (fun x ->
         D.Num.of_float (log (D.Num.to_float x)))
  |> C.register3 "if" (t_bool, t_int, t_int) f_number if_
  |> C.register3 "if" (t_bool, t_bool, t_bool) f_bool if_
  |> C.register3 "if" (t_bool, t_string, t_string) f_string if_
  |> C.register1 "abs" t_int f_number D.Num.abs
  |> C.register1 "int" t_int f_number D.Num.floor
  |> C.register1 "rounddown" t_int f_number D.Num.round_down
  |> C.register1 "round" t_int f_number D.Num.round
  |> C.register1 "trim" t_string f_string UTF8.trim
  |> C.register1 "right" t_string f_string (fun x -> UTF8.get x (-1))
  |> C.register2 "right" (t_string, t_int) f_string (fun t n ->
         let n' = D.Num.to_int n in
         UTF8.sub t (-n') n')
  |> C.register1 "left" t_string f_string (fun x -> UTF8.get x 0)
  |> C.register2 "left" (t_string, t_int) f_string (fun t n ->
         let n' = D.Num.to_int n in
         UTF8.sub t 0 n')
  |> C.register1 "len" t_string f_number (fun x -> D.Num.of_int (UTF8.length x))
  |> C.register1 "lenb" t_string f_number (fun x ->
         D.Num.of_int (String.length (UTF8.to_utf8string x)))
  |> C.register1 "lower" t_string f_string UTF8.lower
  |> C.register1 "unicode" t_string f_number (fun x ->
         D.Num.of_int (UTF8.code x))
  |> C.register1 "unichar" t_int f_string (fun x -> UTF8.char (D.Num.to_int x))
  |> C.register1 "upper" t_string f_string UTF8.upper
  |> C.register3 "substitute"
       (t_string, t_string, t_string)
       f_string UTF8.replace
  |> C.register2 "rept" (t_string, t_int) f_string (fun t n ->
         UTF8.repeat (D.Num.to_int n) t)
  |> CompareBool.register t_bool
  |> C.register1 "true" t_unit f_bool (fun () -> D.Bool.true_)
  |> C.register1 "false" t_unit f_bool (fun () -> D.Bool.false_)
  |> C.register1 "not" t_bool f_bool D.Bool.not
  |> C.register2 "and" (t_bool, t_bool) f_bool D.Bool.and_
  |> C.register2 "or" (t_bool, t_bool) f_bool D.Bool.or_
  |> C.register2 "xor" (t_bool, t_bool) f_bool D.Bool.neq
  |> CompareString.register t_string
  |> reduce "min" t_int f_num D.Num.min (* Minimum value from a list *)
  |> reduce "max" t_int f_num D.Num.max (* Maximum value from a list *)
  |> fold "sum" t_int f_number D.Num.add D.Num.zero
  |> fold "product" t_int f_number D.Num.mult D.Num.one
  |> C.register2 "^" (t_int, t_int) f_number D.Num.pow
  |> C.register2 "power" (t_int, t_int) f_number D.Num.pow
  |> C.register2 "gcd" (t_int, t_int) f_number D.Num.gcd
  |> C.register2 "lcm" (t_int, t_int) f_number D.Num.lcm
  |> C.register1 "+" t_int f_num (fun x -> x)
  |> C.register1 "-" t_int f_num D.Num.neg (* Unary negation *)
  |> C.register2 "+" (t_int, t_int) f_num D.Num.add
  |> C.register2 "-" (t_int, t_int) f_num D.Num.sub
  |> C.register2 "*" (t_int, t_int) f_number D.Num.mult
  |> C.register2 "/" (t_int, t_int) f_number D.Num.div