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+Require Import Crypto.Compilers.SmartMap.
+Require Import Crypto.Compilers.Named.Syntax.
+Require Import Crypto.Compilers.Named.MapCast.
+Require Import Crypto.Compilers.Named.InterpretToPHOAS.
+Require Import Crypto.Compilers.Named.Compile.
+Require Import Crypto.Compilers.Named.PositiveContext.
+Require Import Crypto.Compilers.Named.PositiveContext.Defaults.
+Require Import Crypto.Compilers.Syntax.
+
+(** N.B. This procedure only works when there are no nested lets,
+ i.e., nothing like [let x := let y := z in w] in the PHOAS syntax
+ tree. This is a limitation of [compile]. *)
+
+Section language.
+ Context {base_type_code : Type}
+ {op : flat_type base_type_code -> flat_type base_type_code -> Type}
+ (base_type_code_beq : base_type_code -> base_type_code -> bool)
+ (base_type_code_bl_transparent : forall x y, base_type_code_beq x y = true -> x = y)
+ (failb : forall var t, @Syntax.exprf base_type_code op var (Tbase t))
+ {interp_base_type_bounds : base_type_code -> Type}
+ (interp_op_bounds : forall src dst, op src dst -> interp_flat_type interp_base_type_bounds src -> interp_flat_type interp_base_type_bounds dst)
+ (pick_typeb : forall t, interp_base_type_bounds t -> base_type_code).
+ Local Notation pick_type v := (SmartFlatTypeMap pick_typeb v).
+ Context (cast_op : forall t tR (opc : op t tR) args_bs,
+ op (pick_type args_bs) (pick_type (interp_op_bounds t tR opc args_bs))).
+
+ Local Notation PContext var := (PositiveContext _ var _ base_type_code_bl_transparent).
+
+ Section MapCast.
+ Context {t} (e : Expr base_type_code op t)
+ (input_bounds : interp_flat_type interp_base_type_bounds (domain t)).
+
+ Definition MapCastCompile
+ := compile (e _) (DefaultNamesFor e).
+ Definition MapCastDoCast (e' : option (Named.expr base_type_code op BinNums.positive t))
+ := option_map
+ (fun e'' => map_cast
+ interp_op_bounds pick_typeb cast_op
+ (BoundsContext:=PContext _)
+ empty
+ e''
+ input_bounds)
+ e'.
+ Definition MapCastDoInterp
+ (e' : option
+ (option
+ { output_bounds : interp_flat_type interp_base_type_bounds (codomain t) &
+ Named.expr _ _ _ (Arrow (pick_type input_bounds) (pick_type output_bounds)) }))
+ : option { output_bounds : interp_flat_type interp_base_type_bounds (codomain t)
+ & Expr base_type_code op (Arrow (pick_type input_bounds) (pick_type output_bounds)) }
+ := match e' with
+ | Some (Some (existT output_bounds e''))
+ => Some (existT _ output_bounds (InterpToPHOAS (Context:=fun var => PContext var) failb e''))
+ | Some None | None => None
+ end.
+ Definition MapCast
+ : option { output_bounds : interp_flat_type interp_base_type_bounds (codomain t)
+ & Expr base_type_code op (Arrow (pick_type input_bounds) (pick_type output_bounds)) }
+ := MapCastDoInterp (MapCastDoCast MapCastCompile).
+ End MapCast.
+End language.