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module Make(Storage : Management.Physical.S) = struct
  module Alg = Algebra.Make(Storage)
  module Ops = Manipulation.Make(Storage)

  type error =
    | RelationNotFound of string
    | AlgebraError of Algebra.error

  let wrap = Result.map_error (fun e -> AlgebraError e)

  let ast_value_to_abstract = Ast.value_to_abstract

  let rec execute
      (storage : Storage.t)
      (db : Management.Database.t)
      (q : Ast.query)
    : (Relation.t, error) Result.t =
    let ( >>= ) = Result.bind in
    match q with
    | Ast.Base name ->
      (match Ops.get_relation db ~name with
       | None     -> Error (RelationNotFound name)
       | Some rel -> Ok rel)
    | Ast.Const pairs ->
      Ok (Alg.const_relation
            (List.map (fun (k, v) -> (k, ast_value_to_abstract v)) pairs))
    | Ast.Select (filter_q, source_q) ->
      execute storage db filter_q >>= fun filter ->
      execute storage db source_q >>= fun source ->
      (* semijoin = project(source attrs, equijoin on common attrs) *)
      let common = List.filter_map (fun (n, _) ->
        if List.exists (fun (m, _) -> m = n) filter.Relation.schema
        then Some n else None) source.Relation.schema in
      let source_attrs = List.map fst source.Relation.schema in
      wrap (Alg.equijoin storage common source filter) >>= fun joined ->
      wrap (Alg.project storage source_attrs joined)
    | Ast.Join (attrs, q1, q2) ->
      execute storage db q1 >>= fun r1 ->
      execute storage db q2 >>= fun r2 ->
      wrap (Alg.equijoin storage attrs r1 r2)
    | Ast.Project (attrs, q) ->
      execute storage db q >>= fun rel ->
      wrap (Alg.project storage attrs rel)
    | Ast.Rename (renames, q) ->
      execute storage db q >>= fun rel ->
      wrap (Alg.rename storage renames rel)
    | Ast.Cartesian (q1, q2) ->
      execute storage db q1 >>= fun r1 ->
      execute storage db q2 >>= fun r2 ->
      (* Cartesian product = join on no attrs *)
      wrap (Alg.equijoin storage [] r1 r2)
    | Ast.Union (q1, q2) ->
      execute storage db q1 >>= fun r1 ->
      execute storage db q2 >>= fun r2 ->
      wrap (Alg.union storage r1 r2)
    | Ast.Diff (q1, q2) ->
      execute storage db q1 >>= fun r1 ->
      execute storage db q2 >>= fun r2 ->
      wrap (Alg.diff storage r1 r2)
    | Ast.Take (n, q) ->
      execute storage db q >>= fun rel ->
      wrap (Alg.take storage n rel)
end

module Memory = Make(Management.Physical.Memory)