[typeclasses] functionalize typeclass evar handling

This avoids all the side effects associated with the manipulation of an
unresolvable flag. In the new design:

- The evar_map stores a set of evars that are candidates for typeclass
  resolution, which can be retrieved and set.

  We maintain the invariant that it always contains only undefined
  evars.

- At the creation time of an evar (new_evar), we classify it as a
  potential candidate of resolution.

  - This uses a hook to test if the conclusion ends in a typeclass
    application. (hook set in typeclasses.ml)

  - This is an approximation if the conclusion is an existential (i.e.
    not yet determined). In that case we register the evar as
    potentially a typeclass instance, and later phases must consider
    that case, dropping the evar if it is not a typeclass.

  - One can pass the ~typeclass_candidate:false flag to new_evar to
    prevent classification entirely. Typically this is for new goals
    which should not ever be considered to be typeclass resolution
    candidates.

  - One can mark a subset of evars unresolvable later if
    needed. Typically for clausenv, and marking future goals as
    unresolvable even if they are typeclass goals. For clausenv for
    example, after turing metas into evars we first (optionally) try a
    typeclass resolution on the newly created evars and only then mark
    the remaining newly created evars as subgoals. The intent of the
    code looks clearer now.

  This should prevent keeping testing if undefined evars are classes
  all the time and crawling large sets when no typeclasses are present.

- Typeclass candidate evars stay candidates through
  restriction/evar-evar solutions.

- Evd.add uses ~typeclass_candidate:false to avoid recomputing if the new
  evar is a candidate. There's a deficiency in the API, in most use
  cases of Evd.add we should rather use a:

  `Evd.update_evar_info : evar_map -> Evar.t -> (evar_info -> evar_info)
  -> evar_map`

  Usually it is only about nf_evar'ing the evar_info's contents, which
  doesn't change the evar candidate status.

- Typeclass resolution can now handle the set of candidates
  functionally: it always starts from the set of candidates (and not the
  whole undefined_map) and a filter on it, potentially splitting it in
  connected components, does proof search for each component in an
  evar_map with an empty set of typeclass evars (allowing clean
  reentrancy), then reinstates the potential remaining unsolved
  components and filtered out typeclass evars at the end of
  resolution.

  This means no more marking of resolvability/unresolvability
  everywhere, and hopefully a more efficient implementation in general.

- This is on top of the cleanup of evar_info's currently but can
  be made independent.

[typeclasses] Fix cases.ml: none of the new_evars should be typeclass candidates

Solve bug in inheritance of flags in evar-evar solutions.

Renaming unresolvable to typeclass_candidate (positive) and fix maybe_typeclass_hook

1 files changed, 10 insertions, 15 deletions

diff --git a/pretyping/evarsolve.ml b/pretyping/evarsolve.ml
index 9422a96f21..674f6846ae 100644
--- a/pretyping/evarsolve.ml
+++ b/pretyping/evarsolve.ml
@@ -1239,26 +1239,21 @@ let check_evar_instance evd evk1 body conv_algo =
   | UnifFailure _ -> raise (IllTypedInstance (evenv,ty, evi.evar_concl))
 
 let update_evar_info ev1 ev2 evd =
+  (* We update the source of obligation evars during evar-evar unifications. *)
   let loc, evs2 = evar_source ev2 evd in
-  let evd =
-    (* We keep the obligation evar flag during evar-evar unifications *)
-    if is_obligation_evar evd ev2 then
-      let evi = Evd.find evd ev1 in
-      let evd = Evd.add evd ev1 {evi with evar_source = loc, evs2} in
-      Evd.set_obligation_evar evd ev1
-    else evd
-  in
-  (** [ev1] inherits the unresolvability status from [ev2] *)
-  if not (Evd.is_resolvable_evar evd ev2) then
-    Evd.set_resolvable_evar evd ev1 false
-  else evd
+  let evi = Evd.find evd ev1 in
+  Evd.add evd ev1 {evi with evar_source = loc, evs2}
 
 let solve_evar_evar_l2r force f g env evd aliases pbty ev1 (evk2,_ as ev2) =
   try
     let evd,body = project_evar_on_evar force g env evd aliases 0 pbty ev1 ev2 in
-    let evd' = Evd.define evk2 body evd in
-    let evd' = update_evar_info (fst (destEvar evd body)) evk2 evd' in
-      check_evar_instance evd' evk2 body g
+    let evd' = Evd.define_with_evar evk2 body evd in
+    let evd' =
+      if is_obligation_evar evd evk2 then
+        update_evar_info evk2 (fst (destEvar evd' body)) evd'
+      else evd'
+    in
+    check_evar_instance evd' evk2 body g
   with EvarSolvedOnTheFly (evd,c) ->
     f env evd pbty ev2 c