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(*
* Vericert: Verified high-level synthesis.
* Copyright (C) 2019-2020 Yann Herklotz <yann@yannherklotz.com>
*
* This program 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.
*
* This program 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 this program. If not, see <https://www.gnu.org/licenses/>.
*)
From Coq Require Import
Strings.String
Bool.Bool
Arith.Arith
ZArith.ZArith.
Local Open Scope string.
Class Show A : Type := { show : A -> string }.
#[export]
Instance showBool : Show bool :=
{ show := fun b:bool => if b then "true" else "false" }.
Fixpoint string_of_nat_aux (time n : nat) (acc : string) : string :=
let d := match n mod 10 with
| 0 => "0" | 1 => "1" | 2 => "2" | 3 => "3" | 4 => "4" | 5 => "5"
| 6 => "6" | 7 => "7" | 8 => "8" | _ => "9"
end in
let acc' := d ++ acc in
match time with
| 0 => acc'
| S time' =>
match n / 10 with
| 0 => acc'
| n' => string_of_nat_aux time' n' acc'
end
end.
Definition string_of_nat (n : nat) : string :=
string_of_nat_aux n n "".
#[export]
Instance showNat : Show nat := { show := string_of_nat }.
#[export]
Instance showZ : Show Z := { show a := show (Z.to_nat a) }.
#[export]
Instance showPositive : Show positive := { show a := show (Zpos a) }.
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