#+begin_src elisp tangle: no :results none
(org-babel-tangle)
#+end_src 

* Charge
  :PROPERTIES:
  :ml:       lib/charge.ml
  :mli:      lib/charge.mli
  :test-ml:  test/charge.ml
  :header-args: :noweb yes :comments both
  :END:

** Type

   This type should be used for all charges in the program (electrons, nuclei,...).

   #+begin_src ocaml :tangle (org-entry-get nil "mli" t)
type t
   #+end_src

   #+begin_src ocaml :tangle (org-entry-get nil "ml" t)
type t = float
   #+end_src

** Conversions

*** ~of_float~ / ~to_float~

    #+begin_src ocaml :tangle (org-entry-get nil "mli" t)
val of_float : float -> t
val to_float : t -> float
    #+end_src

    #+begin_src ocaml :tangle (org-entry-get nil "ml" t)
external of_float : float -> t = "%identity"
external to_float : t -> float = "%identity"
    #+end_src

*** ~of_int~ / ~to_int~

    #+begin_src ocaml :tangle (org-entry-get nil "mli" t)
val of_int   : int -> t
val to_int   : t -> int
    #+end_src

    #+begin_src ocaml :tangle (org-entry-get nil "ml" t)
let of_int = float_of_int
let to_int = int_of_float
    #+end_src

*** ~of_string~ / ~to_string~

    #+begin_src ocaml :tangle (org-entry-get nil "mli" t)
val of_string: string -> t
val to_string: t -> string 
    #+end_src

    #+begin_src ocaml :tangle (org-entry-get nil "ml" t)
let of_string = float_of_string 

let to_string x = 
  if x >  0. then
    Printf.sprintf "+%f" x
  else if x < 0. then
    Printf.sprintf "%f" x
  else 
    "0.0"
    #+end_src

** Simple operations

   #+begin_src ocaml :tangle (org-entry-get nil "mli" t)
val ( + ) : t -> t -> t
val ( - ) : t -> t -> t
val ( * ) : t -> float -> t
val ( / ) : t -> float -> t 
   #+end_src

   #+begin_src ocaml :tangle (org-entry-get nil "ml" t)
let gen_op op =
  fun a b ->
  op (to_float a) (to_float b)
  |> of_float

let ( + ) = gen_op ( +. )
let ( - ) = gen_op ( -. )
let ( * ) = gen_op ( *. )
let ( / ) = gen_op ( /. )
   #+end_src

** Printers

   #+begin_src ocaml :tangle (org-entry-get nil "mli" t)
val pp : Format.formatter -> t -> unit
   #+end_src

   #+begin_src ocaml :tangle (org-entry-get nil "ml" t)
let pp ppf x = 
  Format.fprintf ppf "@[+%s@]" (to_string x)
   #+end_src