summaryrefslogtreecommitdiff
path: root/test-suite/bugs/closed/4852.v
diff options
context:
space:
mode:
Diffstat (limited to 'test-suite/bugs/closed/4852.v')
-rw-r--r--test-suite/bugs/closed/4852.v54
1 files changed, 54 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/4852.v b/test-suite/bugs/closed/4852.v
new file mode 100644
index 00000000..5068ed9b
--- /dev/null
+++ b/test-suite/bugs/closed/4852.v
@@ -0,0 +1,54 @@
+(** BZ 4852 : unsatisfactory Extraction Implicit for a fixpoint defined via wf *)
+
+Require Import Coq.Lists.List.
+Import ListNotations.
+Require Import Omega.
+
+Definition wfi_lt := well_founded_induction_type Wf_nat.lt_wf.
+
+Tactic Notation "wfinduction" constr(term) "on" ne_hyp_list(Hs) "as" ident(H) :=
+ let R := fresh in
+ let E := fresh in
+ remember term as R eqn:E;
+ revert E; revert Hs;
+ induction R as [R H] using wfi_lt;
+ intros; subst R.
+
+Hint Rewrite @app_comm_cons @app_assoc @app_length : app_rws.
+
+Ltac solve_nat := autorewrite with app_rws in *; cbn in *; omega.
+
+Notation "| x |" := (length x) (at level 11, no associativity, format "'|' x '|'").
+
+Definition split_acc (ls : list nat) : forall acc1 acc2,
+ (|acc1| = |acc2| \/ |acc1| = S (|acc2|)) ->
+ { lss : list nat * list nat |
+ let '(ls1, ls2) := lss in |ls1++ls2| = |ls++acc1++acc2| /\ (|ls1| = |ls2| \/ |ls1| = S (|ls2|))}.
+Proof.
+ induction ls as [|a ls IHls]. all:intros acc1 acc2 H.
+ { exists (acc1, acc2). cbn. intuition reflexivity. }
+ destruct (IHls (a::acc2) acc1) as [[ls1 ls2] (H1 & H2)]. 1:solve_nat.
+ exists (ls1, ls2). cbn. intuition solve_nat.
+Defined.
+
+Definition join(ls : list nat) : { rls : list nat | |rls| = |ls| }.
+Proof.
+ wfinduction (|ls|) on ls as IH.
+ case (split_acc ls [] []). 1:solve_nat.
+ intros (ls1 & ls2) (H1 & H2).
+ destruct ls2 as [|a ls2].
+ - exists ls1. solve_nat.
+ - unshelve eelim (IH _ _ ls1 eq_refl). 1:solve_nat. intros rls1 H3.
+ unshelve eelim (IH _ _ ls2 eq_refl). 1:solve_nat. intros rls2 H4.
+ exists (a :: rls1 ++ rls2). solve_nat.
+Defined.
+
+Require Import ExtrOcamlNatInt.
+Extract Inlined Constant length => "List.length".
+Extract Inlined Constant app => "List.append".
+
+Extraction Inline wfi_lt.
+Extraction Implicit wfi_lt [1 3].
+Recursive Extraction join. (* was: Error: An implicit occurs after extraction *)
+Extraction TestCompile join.
+