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quantum_package/ocaml/Multiplicity.ml

36 lines
684 B
OCaml

open Qptypes ;;
type t = Strictly_positive_int.t;;
let of_int = Strictly_positive_int.of_int ;;
let to_int = Strictly_positive_int.to_int ;;
let to_string m =
match (to_int m) with
| 1 -> "Singlet"
| 2 -> "Doublet"
| 3 -> "Triplet"
| 4 -> "Quartet"
| 5 -> "Quintet"
| 6 -> "Sextet"
| 7 -> "Septet"
| 8 -> "Octet"
| 9 -> "Nonet"
| i -> Printf.sprintf "%d-et" i
;;
let of_alpha_beta a b =
let a = Positive_int.to_int a
and b = Positive_int.to_int b
in
assert (a >= b);
of_int (1 + a - b)
;;
let to_alpha_beta ne m =
let ne = Positive_int.to_int ne in
let nb = (ne-(to_int m)+1)/2 in
let na = ne - nb in
assert (na >= nb) ;
(na,nb)
;;