(* Open Source License *)
(* Copyright (c) 2019 Nomadic Labs. <contact@nomadic-labs.com> *)

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(* copy of this software and associated documentation files (the "Software"), *)
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(* Coq *)
Require Import String.
Require Import Michocoq.macros.
Import syntax.
Import comparable.
Require Import NArith.
Require Import ZArith.
Require Import Coq.Setoids.Setoid.
Require Import Coq.micromega.Lia.
From Coq Require Import Program.Tactics.

(* Mi-Cho-Coq *)
Require Import semantics.
Require Import util.
Import error.
Require List.

(* Dexter *)
Require dexter_definition.
Require dexter_spec.
Require Import dexter_util.
Require Import dexter_spec_util.

Module Spec := dexter_spec.

Module Def := dexter_definition.

Import Def.Storage.

Import Tactics.

Require Import contract_semantics.


(* It's better not to unfold compare in this proof,
 * this makes it easier to use util.eqb_eq.
 *)
Opaque N.mul.
Opaque N.add.
Opaque Z.modulo.
Opaque compare.

  Lemma ep_updateTokenPool_correct
        (env : @proto_env dexter_definition.self_type)
        (p : data dexter_definition.parameter_ep_updateTokenPool_ty)
        (sto : data dexter_definition.storage_ty)
        (ret_ops : Datatypes.list (data operation))
        (ret_sto : data dexter_definition.storage_ty)
        (fuel : Datatypes.nat) :
    (* TODO: fuel may have to be adapted to suit the entrypoint *)
    400 <= fuel ->
    eval_precond fuel env Def.ep_updateTokenPool
                 (fun x => x = (ret_ops, ret_sto, tt))
                 (p, (sto, tt)) <->
    Spec.ep_updateTokenPool env p sto ret_ops ret_sto.
  Proof.
  (*
   * intros Hfuel.
   * auto_fuel.
   * destruct_sto sto
   *              accounts self_is_updating_token_pool freeze_baker lq_total manager token_address token_pool xtz_pool.
   * rewrite (eqb_eq mutez).
   * rewrite (eqb_eq address).
   * intuition.
   * simpl.
   * subst.
   * 
   * - destruct H3.
   *   intuition.
   *   exists x.
   *   simpl.
   *   injection H3.
   *   intros.
   *   clear H3.
   *   rewrite <- H4.
   *   rewrite <- H1.
   *   intuition reflexivity.
   * - destruct H.
   *   apply H.
   * - destruct H.
   *   apply H.
   * - destruct H.
   *   intuition.
   *   subst.
   *   destruct self_is_updating_token_pool.
   *   + elimtype False. apply H. constructor.
   *   + reflexivity.
   * -  destruct H.
   *    intuition.
   *    exists x.
   *    subst.
   *    intuition reflexivity.
   *)
  Admitted.