function
[] -> assert false
| [x] -> x
+ | CicNotationPt.Appl l1 :: l2 -> CicNotationPt.Appl (l1 @ l2)
| l -> CicNotationPt.Appl l
;;
-let mk_elim uri leftno [it] (outsort,suffix) =
+let mk_elim uri leftno it (outsort,suffix) pragma =
let _,ind_name,ty,cl = it in
let srec_name = ind_name ^ "_" ^ suffix in
let rec_name = mk_id srec_name in
let args,sort = NCicReduction.split_prods ~subst:[] [] (-1) ty in
let args = List.rev_map (function name,_ -> mk_id name) args in
let rec_arg = mk_id (fresh_name ()) in
- let p_ty =
+ let mk_prods =
List.fold_right
- (fun name res -> CicNotationPt.Binder (`Forall,(name,None),res)) args
+ (fun name res -> CicNotationPt.Binder (`Forall,(name,None),res)) in
+ let p_ty = mk_prods args
(CicNotationPt.Binder
(`Forall,
(rec_arg,Some (mk_appl (mk_id ind_name :: params @ args))),
CicNotationPt.Sort outsort)) in
+ let mk_arrs n = mk_prods (HExtlib.mk_list (mk_id "_") n) in
let args = args @ [rec_arg] in
let k_names = List.map (function _,name,_ -> name_of_k name) cl in
+ (*
let final_params =
List.map (function name -> name, None) params @
[p_name,Some p_ty] @
List.map (function name -> name, None) k_names @
List.map (function name -> name, None) args in
- let recno = List.length final_params in
+ *)
let cty = mk_appl (p_name :: args) in
let ty = Some cty in
- let branches =
+ let branches_with_args =
List.map
(function (_,name,ty) ->
let _,ty = NCicReduction.split_prods ~subst:[] [] leftno ty in
let cargs,ty= my_split_prods ~subst:[] [] (-1) ty in
- let cargs_and_recursive_args =
- List.rev_map
- (function
+ let cargs_recargs_nih =
+ List.fold_left
+ (fun (acc,nih) -> function
_,NCic.Def _ -> assert false
| name,NCic.Decl ty ->
let context,ty = my_split_prods ~subst:[] [] (-1) ty in
->
let abs = List.rev_map (fun id,_ -> mk_id id) context in
let name = mk_id name in
- name, Some (
+ (name, Some (
List.fold_right
(fun id res ->
CicNotationPt.Binder (`Lambda,(id,None),res))
params @
[p_name] @
k_names @
- List.map (fun _ -> CicNotationPt.Implicit)
+ List.map (fun _ -> CicNotationPt.Implicit `JustOne)
(List.tl args) @
- [mk_appl (name::abs)])))
- | _ -> mk_id name,None
- ) cargs in
+ [mk_appl (name::abs)]))))::acc, nih + 1
+ | _ -> (mk_id name,None)::acc,nih
+ ) ([],0) cargs in
+ let cargs_and_recursive_args, nih = cargs_recargs_nih in
let cargs,recursive_args = List.split cargs_and_recursive_args in
let recursive_args = HExtlib.filter_map (fun x -> x) recursive_args in
- CicNotationPt.Pattern (name,None,List.map (fun x -> x,None) cargs),
- CicNotationPt.Appl (name_of_k name :: cargs @ recursive_args)
+ (CicNotationPt.Pattern (name,None,List.map (fun x -> x,None) cargs),
+ mk_appl (name_of_k name :: cargs @ recursive_args)), (name,cargs, nih)
) cl
in
- let bo = CicNotationPt.Case (rec_arg,None,None,branches) in
- let where = List.length final_params - 1 in
+ let branches, branch_args = List.split branches_with_args in
+ let bo = CicNotationPt.Case (rec_arg,Some (ind_name,None),Some p_name,branches) in
+ let final_params =
+ List.map (function name -> name, None) params @
+ [p_name,Some p_ty] @
+ List.map (function name, cargs, nih ->
+ name_of_k name,
+ Some (mk_prods cargs (mk_arrs nih
+ (mk_appl
+ (p_name::HExtlib.mk_list (CicNotationPt.Implicit `JustOne)
+ (List.length args - 1) @
+ [mk_appl (mk_id name :: params @ cargs)]))))) branch_args @
+ List.map (function name -> name, None) args in
+ let recno = List.length final_params in
+ let where = recno - 1 in
let res =
CicNotationPt.LetRec (`Inductive,
[final_params, (rec_name,ty), bo, where], rec_name)
in
+(*
prerr_endline
(BoxPp.render_to_string
~map_unicode_to_tex:false
(BoxPp.render_to_string ~map_unicode_to_tex:false
(function x::_ -> x | _ -> assert false) 80
(CicNotationPres.mpres_of_box boxml)));
- CicNotationPt.Theorem (`Definition,srec_name,CicNotationPt.Implicit,Some res)
+*)
+ CicNotationPt.Theorem
+ (`Definition,srec_name,
+ CicNotationPt.Implicit `JustOne,Some res,pragma)
+;;
+
+let ast_of_sort s =
+ let headrm prefix s =
+ try
+ let len_prefix = String.length prefix in
+ assert (String.sub s 0 len_prefix = prefix);
+ String.sub s len_prefix (String.length s - len_prefix)
+ with Invalid_argument _ -> assert false
+ in
+ match s with
+ | NCic.Prop -> `Prop,"ind"
+ | NCic.Type [] -> `NType "", "rect_Type"
+ | NCic.Type ((`Type,u) :: _) ->
+ let name = NUri.name_of_uri u in
+ `NType (headrm "Type" name), "rect_" ^ name
+ | NCic.Type ((`CProp,u) :: _) ->
+ let name = NUri.name_of_uri u in
+ `NCProp (headrm "Type" name),
+ "rect_" ^ Str.replace_first (Str.regexp "Type") "CProp" name
+ | _ -> assert false
;;
let mk_elims (uri,_,_,_,obj) =
- let ast_of_sort s =
- match s with
- NCic.Prop -> `Prop,"ind"
- | NCic.Type u ->
- let u = NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] (NCic.Sort s) in
- `NType u, "rect_" ^ u
- in
match obj with
- NCic.Inductive (true,leftno,itl,_) ->
- List.map (fun s -> mk_elim uri leftno itl (ast_of_sort s))
+ NCic.Inductive (true,leftno,[itl],_) ->
+ List.map (fun s -> mk_elim uri leftno itl (ast_of_sort s) (`Elim s))
(NCic.Prop::
List.map (fun s -> NCic.Type s) (NCicEnvironment.get_universes ()))
| _ -> []
;;
+
+(********************* Projections **********************)
+
+let mk_lambda =
+ function
+ [] -> assert false
+ | [t] -> t
+ | l -> CicNotationPt.Appl l
+;;
+
+let rec count_prods = function NCic.Prod (_,_,t) -> 1 + count_prods t | _ -> 0;;
+
+let rec nth_prod projs n ty =
+ match ty with
+ NCic.Prod (_,s,_) when n=0 -> projs, s
+ | NCic.Prod (name,_,t) -> nth_prod (name::projs) (n-1) t
+ | _ -> assert false
+;;
+
+(* this code should be unified with NTermCicContent.nast_of_cic0,
+ but the two contexts have different types *)
+let rec pp rels =
+ function
+ NCic.Rel i -> List.nth rels (i - 1)
+ | NCic.Const _ as t ->
+ CicNotationPt.Ident
+ (NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t,None)
+ | NCic.Sort s -> CicNotationPt.Sort (fst (ast_of_sort s))
+ | NCic.Meta _
+ | NCic.Implicit _ -> assert false
+ | NCic.Appl l -> CicNotationPt.Appl (List.map (pp rels) l)
+ | NCic.Prod (n,s,t) ->
+ let n = mk_id n in
+ CicNotationPt.Binder (`Pi, (n,Some (pp rels s)), pp (n::rels) t)
+ | NCic.Lambda (n,s,t) ->
+ let n = mk_id n in
+ CicNotationPt.Binder (`Lambda, (n,Some (pp rels s)), pp (n::rels) t)
+ | NCic.LetIn (n,s,ty,t) ->
+ let n = mk_id n in
+ CicNotationPt.LetIn ((n, Some (pp rels ty)), pp rels s, pp (n::rels) t)
+ | NCic.Match (NReference.Ref (uri,_) as r,outty,te,patterns) ->
+ let name = NUri.name_of_uri uri in
+ let case_indty = Some (name, None) in
+ let constructors, leftno =
+ let _,leftno,tys,_,n = NCicEnvironment.get_checked_indtys r in
+ let _,_,_,cl = List.nth tys n in
+ cl,leftno
+ in
+ let rec eat_branch n rels ty pat =
+ match (ty, pat) with
+ | NCic.Prod (name, s, t), _ when n > 0 ->
+ eat_branch (pred n) rels t pat
+ | NCic.Prod (_, _, t), NCic.Lambda (name, s, t') ->
+ let cv, rhs = eat_branch 0 ((mk_id name)::rels) t t' in
+ (mk_id name, Some (pp rels s)) :: cv, rhs
+ | _, _ -> [], pp rels pat
+ in
+ let patterns =
+ try
+ List.map2
+ (fun (_, name, ty) pat ->
+ let capture_variables,rhs = eat_branch leftno rels ty pat in
+ CicNotationPt.Pattern (name, None, capture_variables), rhs
+ ) constructors patterns
+ with Invalid_argument _ -> assert false
+ in
+ CicNotationPt.Case (pp rels te, case_indty, Some (pp rels outty), patterns)
+;;
+
+let mk_projection leftno tyname consname consty (projname,_,_) i =
+ let argsno = count_prods consty - leftno in
+ let rec aux names ty leftno =
+ match leftno,ty with
+ | 0,_ ->
+ let arg = mk_id "xxx" in
+ let arg_ty = mk_appl (mk_id tyname :: List.rev names) in
+ let bvar = mk_id "yyy" in
+ let underscore = CicNotationPt.Ident ("_",None),None in
+ let bvars =
+ HExtlib.mk_list underscore i @ [bvar,None] @
+ HExtlib.mk_list underscore (argsno - i -1) in
+ let branch = CicNotationPt.Pattern (consname,None,bvars), bvar in
+ let projs,outtype = nth_prod [] i ty in
+ let rels =
+ List.map
+ (fun name -> mk_appl (mk_id name :: List.rev names @ [arg])) projs
+ @ names in
+ let outtype = pp rels outtype in
+ let outtype= CicNotationPt.Binder (`Lambda, (arg, Some arg_ty), outtype) in
+ [arg, Some arg_ty], CicNotationPt.Case (arg,None,Some outtype,[branch])
+ | _,NCic.Prod (name,_,t) ->
+ let name = mk_id name in
+ let params,body = aux (name::names) t (leftno - 1) in
+ (name,None)::params, body
+ | _,_ -> assert false
+ in
+ let params,bo = aux [] consty leftno in
+ let pprojname = mk_id projname in
+ let res =
+ CicNotationPt.LetRec (`Inductive,
+ [params, (pprojname,None), bo, leftno], pprojname) in
+(* prerr_endline
+ (BoxPp.render_to_string
+ ~map_unicode_to_tex:false
+ (function x::_ -> x | _ -> assert false)
+ 80 (CicNotationPres.render (fun _ -> None)
+ (TermContentPres.pp_ast res)));*)
+ CicNotationPt.Theorem
+ (`Definition,projname,CicNotationPt.Implicit `JustOne,Some res,`Projection)
+;;
+
+let mk_projections (_,_,_,_,obj) =
+ match obj with
+ NCic.Inductive
+ (true,leftno,[_,tyname,_,[_,consname,consty]],(_,`Record fields))
+ ->
+ HExtlib.list_mapi (mk_projection leftno tyname consname consty) fields
+ | _ -> []
+;;
projects / helm.git / blobdiff