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Require Import Coq.Lists.List.
Require Import Coq.Strings.String Coq.Strings.Byte Coq.Strings.Ascii.
Import ListNotations.
Set Printing Depth 100000.
Set Printing Width 1000.
Close Scope char_scope.
Close Scope string_scope.
Open Scope byte_scope.
Print byte_rect.
Print byte_rec.
Print byte_ind.
Check "000".
Check "a".
Check "127".
Fail Check "€".
Close Scope byte_scope.
Open Scope char_scope.
Check "000".
Check "a".
Check "127".
Fail Check "€".
Close Scope char_scope.
Open Scope string_scope.
Check "000".
Check "a".
Check "127".
Check "€".
Check String "001" EmptyString.
Close Scope string_scope.
Compute ascii_of_byte "a".
Compute byte_of_ascii "a".
Compute string_of_list_byte ("a"::nil)%byte.
Compute list_byte_of_string "a".
Local Open Scope byte_scope.
Compute List.fold_right
(fun n ls => match Byte.of_nat n with
| Some b => cons b ls
| None => ls
end)
nil
(List.seq 0 256).
Local Close Scope byte_scope.
Local Open Scope char_scope.
Compute List.map Ascii.ascii_of_nat (List.seq 0 256).
Local Close Scope char_scope.
(* Test numeral notations for parameterized inductives *)
Module Test2.
Notation string := (list Byte.byte).
Definition id_string := @id string.
String Notation string id_string id_string : list_scope.
Check "abc"%list.
End Test2.
(* Test the via ... using ... option *)
Module Test3.
Inductive I :=
| IO : I
| IS : I -> I.
Definition of_byte (x : Byte.byte) : I :=
let fix f n :=
match n with
| O => IO
| S n => IS (f n)
end in
f (Byte.to_nat x).
Definition to_byte (x : I) : option Byte.byte :=
let fix f i :=
match i with
| IO => O
| IS i => S (f i)
end in
Byte.of_nat (f x).
String Notation nat of_byte to_byte (via I mapping [O => IO, S => IS]) : nat_scope.
Check "000".
Check "001".
Check "002".
Check "255".
Fail Check "256".
End Test3.
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