(* Open Source License *)
(* Copyright (c) 2019 Nomadic Labs. <contact@nomadic-labs.com> *)
(* Permission is hereby granted, free of charge, to any person obtaining a *)
(* copy of this software and associated documentation files (the "Software"), *)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense, *)
(* and/or sell copies of the Software, and to permit persons to whom the *)
(* Software is furnished to do so, subject to the following conditions: *)
(* The above copyright notice and this permission notice shall be included *)
(* in all copies or substantial portions of the Software. *)
(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR *)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER *)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER *)
(* DEALINGS IN THE SOFTWARE. *)
Require Import Michocoq.macros.
Import syntax.
Import comparable.
Require Import ZArith.
Require Import semantics.
Require Import util.
Import error.
Require List.
Definition parameter_ty := unit.
Definition storage_ty := unit.
Module boomerang(C:ContractContext).
Module semantics := Semantics C. Import semantics.
Definition boomerang : full_contract _ parameter_ty None storage_ty :=
{
CDR;
NIL operation;
AMOUNT;
PUSH mutez (0 ~mutez);
IFCMPEQ {}
{
SOURCE ;
CONTRACT None unit I;
ASSERT_SOME ;
AMOUNT ;
UNIT ;
TRANSFER_TOKENS (p := unit) I;
CONS
};
PAIR
}.
Lemma eqb_eq a c1 c2 :
BinInt.Z.eqb (comparison_to_int (compare a c1 c2)) Z0 = true <->
c1 = c2.
Proof.
rewrite BinInt.Z.eqb_eq.
rewrite comparison_to_int_Eq.
apply comparable.compare_eq_iff.
Qed.
Lemma eqb_neq a c1 c2 :
BinInt.Z.eqb (comparison_to_int (compare a c1 c2)) Z0 = false <->
c1 <> c2.
Proof.
split.
- intros Hf He.
rewrite <- eqb_eq in He.
congruence.
- intro Hneq.
rewrite <- eqb_eq in Hneq.
destruct ((comparison_to_int (compare a c1 c2) =? 0)%Z); congruence.
Qed.
Lemma boomerang_correct :
forall env (ops : data (list operation)) (fuel : Datatypes.nat),
fuel >= 42 ->
eval_seq env boomerang fuel ((tt, tt), tt) = Return ((ops, tt), tt)
<->
(amount env = (0 ~Mutez) /\ ops = nil) \/
(amount env <> (0 ~Mutez) /\
exists ctr, contract_ None unit I (source env) = Some ctr /\
ops = ((transfer_tokens unit I tt (amount env) ctr) :: nil)%list).
Proof.
intros env ops fuel Hfuel.
rewrite return_precond.
rewrite eval_seq_precond_correct.
unfold eval_seq_precond.
unfold ">=" in Hfuel.
more_fuel; simpl.
more_fuel; simpl.
more_fuel; simpl.
more_fuel; simpl.
rewrite destruct_if.
apply or_both; apply and_both_0.
- rewrite (eqb_eq mutez).
intuition.
- unfold data.
simpl.
intuition congruence.
- rewrite bool_not_false.
rewrite (eqb_eq mutez).
intuition.
- apply forall_ex.
intro ctr.
unfold data.
simpl.
intuition congruence.
Qed.
End boomerang.