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|
module type COMPARABLE = sig
type t
val eq: t -> t -> bool
val neq: t -> t -> bool
val lt: t -> t -> bool
val le: t -> t -> bool
val gt: t -> t -> bool
val ge: t -> t -> bool
end
module Comparable = struct
let eq = (=)
let neq = (<>)
let lt = (<)
let le = (<=)
let gt = (>)
let ge = (>=)
end
module Num = struct
type t =
| NAN
| N of Num.num
let nan = NAN
let of_num n = N n
let zero = Num.num_of_int 0
let to_num = function
| NAN -> zero
| N n -> n
let eq v1 v2 = match v1, v2 with
| N n1, N n2 -> Num.eq_num n1 n2
| _, _ -> false
let neq a b = not (eq a b)
let lt v1 v2 = match v1, v2 with
| N n1, N n2 -> Num.lt_num n1 n2
| N x, NAN -> Num.lt_num x (zero)
| NAN, N x -> Num.lt_num (zero) x
| NAN, NAN -> false
let le v1 v2 = match v1, v2 with
| N n1, N n2 -> Num.le_num n1 n2
| N x, NAN -> Num.le_num x (zero)
| NAN, N x -> Num.le_num (zero) x
| NAN, NAN -> false
let gt v1 v2 = match v1, v2 with
| N n1, N n2 -> Num.gt_num n1 n2
| N x, NAN -> Num.gt_num x (zero)
| NAN, N x -> Num.gt_num (zero) x
| NAN, NAN -> false
let ge v1 v2 = match v1, v2 with
| N n1, N n2 -> Num.ge_num n1 n2
| N x, NAN -> Num.ge_num x (zero)
| NAN, N x -> Num.ge_num (zero) x
| NAN, NAN -> false
let add v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.add_num n1 n2)
| n1, NAN -> n1
| NAN, n1 -> n1
let mult v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.mult_num n1 n2)
| _, _ -> N zero
let div v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.div_num n1 n2)
| _, N _ -> N zero
| _, _ -> raise Division_by_zero
let sub v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.sub_num n1 n2)
| v, NAN -> v
| NAN, N n -> N (Num.minus_num n)
let pow v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.power_num n1 n2)
| _, NAN -> N (Num.num_of_int 1)
| NAN, _ -> N zero
let rnd () = N (
Num.div_num
(Num.num_of_int @@ Int32.to_int @@ Random.int32 Int32.max_int)
(Num.num_of_int @@ Int32.to_int @@ Int32.max_int)
)
let min v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.min_num n1 n2)
| NAN, x -> x
| x, NAN -> x
let max v1 v2 = match v1, v2 with
| N n1, N n2 -> N (Num.max_num n1 n2)
| NAN, x -> x
| x, NAN -> x
let abs = function
| NAN -> NAN
| N n1 -> N (Num.abs_num n1)
let neg = function
| NAN -> NAN
| N n1 -> N (Num.minus_num n1)
end
module Bool = struct
type t = bool
include Comparable
let true_ = true
let false_ = false
let or_ = (||)
let and_ = (&&)
let not = Pervasives.not
end
module String = struct
type t = UTF8.t
include Comparable
end
|
