Quellcode-Bibliothek

^© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: primitiveproj.v Sprache: Coq

Original von: Coq^©

Set Primitive Projections.
Set Nonrecursive Elimination Schemes.
Module Prim.

Record F := { a : nat; b : a = a }.
Record G (A : Type) := { c : A; d : F }.

Check c.
End Prim.
Module Univ.
Set Universe Polymorphism.
Set Implicit Arguments.
Record Foo (A : Type) := { foo : A }.

Record G (A : Type) := { c : A; d : c = c; e : Foo A }.

Definition Foon : Foo nat := {| foo := 0 |}.

Definition Foonp : nat := Foon.(foo).

Definition Gt : G nat := {| c:= 0; d:=eq_refl; e:= Foon |}.

Check (Gt.(e)).

Section bla.

  Record bar := { baz : nat; def := 0; baz' : forall x, x = baz \/ x = def }.
End bla.

End Univ.

Set Primitive Projections.
Unset Elimination Schemes.
Set Implicit Arguments.

Check nat.

Inductive X (U:Type) := { k : nat; a: k = k -> X U; b : let x := a eq_refl in X U }.

Parameter x:X nat.
Check (a x : forall _ : @eq nat (k x) (k x), X nat).
Check (b x : X nat).

Inductive Y := { next : option Y }.

Check _.(next) : option Y.
Lemma eta_ind (y : Y) : y = Build_Y y.(next).
Proof. Fail reflexivity. Abort.

Inductive Fdef := { Fa : nat ; Fb := Fa; Fc : Fdef }.

Fail Scheme Fdef_rec := Induction for Fdef Sort Prop.

(*
  Rules for parsing and printing of primitive projections and their eta expansions.
  If r : R A where R is a primitive record with implicit parameter A.
  If p : forall {A} (r : R A) {A : Set}, list (A * B).
*)

Record R {A : Type} := { p : forall {X : Set}, A * X }.
Arguments R : clear implicits.

Record R' {A : Type} := { p' : forall X : Set, A * X }.
Arguments R' : clear implicits.

Unset Printing All.

Parameter r : R nat.

Check (r.(p)).
Set Printing Projections.
Check (r.(p)).
Unset Printing Projections.
Set Printing All.
Check (r.(p)).
Unset Printing All.

(* Check (r.(p)).
   Elaborates to a primitive application, X arg implicit.
   Of type nat * ?ex
   No Printing All: p r
   Set Printing Projections.: r.(p)
   Printing All: r.(@p) ?ex
*)

Check p r.
Set Printing Projections.
Check p r.
Unset Printing Projections.
Set Printing All.
Check p r.
Unset Printing All.

Check p r (X:=nat).
Set Printing Projections.
Check p r (X:=nat).
Unset Printing Projections.
Set Printing All.
Check p r (X:=nat).
Unset Printing All.

(* Same elaboration, printing for p r *)

(** Explicit version of the primitive projection, under applied w.r.t implicit arguments
      can be printed only using projection notation. r.(@p) *)
Check r.(@p _).
Set Printing Projections.
Check r.(@p _).
Unset Printing Projections.
Set Printing All.
Check r.(@p _).
Unset Printing All.

(** Explicit version of the primitive projection, applied to its implicit arguments
      can be printed using application notation r.(p), r.(@p) in fully explicit form *)
Check r.(@p _) nat.
Set Printing Projections.
Check r.(@p _) nat.
Unset Printing Projections.
Set Printing All.
Check r.(@p _) nat.
Unset Printing All.

Parameter r' : R' nat.

Check (r'.(p')).
Set Printing Projections.
Check (r'.(p')).
Unset Printing Projections.
Set Printing All.
Check (r'.(p')).
Unset Printing All.

(* Check (r'.(p')).
   Elaborates to a primitive application, X arg explicit.
   Of type forall X : Set, nat * X
   No Printing All: p' r'
   Set Printing Projections.: r'.(p')
   Printing All: r'.(@p')
*)

Check p' r'.
Set Printing Projections.
Check p' r'.
Unset Printing Projections.
Set Printing All.
Check p' r'.
Unset Printing All.

(* Same elaboration, printing for p r *)

(** Explicit version of the primitive projection, under applied w.r.t implicit arguments
      can be printed only using projection notation. r.(@p) *)
Check r'.(@p' _).
Set Printing Projections.
Check r'.(@p' _).
Unset Printing Projections.
Set Printing All.
Check r'.(@p' _).
Unset Printing All.

(** Explicit version of the primitive projection, applied to its implicit arguments
      can be printed only using projection notation r.(p), r.(@p) in fully explicit form *)
Check p' r' nat.
Set Printing Projections.
Check p' r' nat.
Unset Printing Projections.
Set Printing All.
Check p' r' nat.
Unset Printing All.

Check (@p' nat).
Check p'.
Set Printing All.

Check (@p' nat).
Check p'.
Unset Printing All.

Record wrap (A : Type) := { unwrap : A; unwrap2 : A }.

Definition term (x : wrap nat) := x.(unwrap).
Definition term' (x : wrap nat) := let f := (@unwrap2 nat) in f x.

Require Coq.extraction.Extraction.
Recursive Extraction term term'.
Extraction TestCompile term term'.
(*Unset Printing Primitive Projection Parameters.*)

(* Primitive projections in the presence of let-ins (was not failing in beta3)*)

Set Primitive Projections.
Record s (x:nat) (y:=S x) := {c:=x; d:x=c}.
Lemma f : 0=1.
Proof.
  Fail apply d.
(*
split.
reflexivity.
Qed.
*)
Abort.

(* Primitive projection match compilation *)
Require Import List.
Set Primitive Projections.

Record prod (A B : Type) := pair { fst : A ; snd : B }.
Arguments pair {_ _} _ _.

Fixpoint split_at {A} (l : list A) (n : nat) : prod (list A) (list A) :=
  match n with
  | 0 => pair nil l
  | S n =>
    match l with
    | nil => pair nil nil
    | x :: l => let 'pair l1 l2 := split_at l n in pair (x :: l1) l2
    end
  end.

Time Eval vm_compute in split_at (repeat 0 20) 10. (* Takes 0s *)
Time Eval vm_compute in split_at (repeat 0 40) 20. (* Takes 0.001s *)
Timeout 1 Time Eval vm_compute in split_at (repeat 0 60) 30. (* Used to take 60s, now takes 0.001s *)

Check (@eq_refl _ 0 <: 0 = fst (pair 0 1)).
Fail Check (@eq_refl _ 0 <: 0 = snd (pair 0 1)).

Check (@eq_refl _ 0 <<: 0 = fst (pair 0 1)).
Fail Check (@eq_refl _ 0 <<: 0 = snd (pair 0 1)).

¤ Dauer der Verarbeitung: 0.13 Sekunden (vorverarbeitet) ¤

Download des Quellennavigators
Download des sprechenden Kalenders
in der Quellcodebibliothek suchen

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.