summaryrefslogtreecommitdiff
path: root/test-suite/output/Notations3.v
diff options
context:
space:
mode:
Diffstat (limited to 'test-suite/output/Notations3.v')
-rw-r--r--test-suite/output/Notations3.v141
1 files changed, 141 insertions, 0 deletions
diff --git a/test-suite/output/Notations3.v b/test-suite/output/Notations3.v
new file mode 100644
index 00000000..4b8bfe31
--- /dev/null
+++ b/test-suite/output/Notations3.v
@@ -0,0 +1,141 @@
+(**********************************************************************)
+(* Check printing of notations with several instances of a recursive pattern *)
+(* Was wrong but I could not trigger a problem due to the collision between *)
+(* different instances of ".." *)
+
+Notation "[< x , y , .. , z >]" := (pair (.. (pair x y) ..) z,pair y ( .. (pair z x) ..)).
+Check [<0,2>].
+Check ((0,2),(2,0)).
+Check ((0,2),(2,2)).
+Unset Printing Notations.
+Check [<0,2>].
+Set Printing Notations.
+
+Notation "<< x , y , .. , z >>" := ((.. (x,y) .., z),(z, .. (y,x) ..)).
+Check <<0,2,4>>.
+Check (((0,2),4),(4,(2,0))).
+Check (((0,2),4),(2,(2,0))).
+Check (((0,2),4),(0,(2,4))).
+Unset Printing Notations.
+Check <<0,2,4>>.
+Set Printing Notations.
+
+(**********************************************************************)
+(* Check notations with recursive notations both in binders and terms *)
+
+Notation "'ETA' x .. y , f" :=
+ (fun x => .. (fun y => (.. (f x) ..) y ) ..)
+ (at level 200, x binder, y binder).
+Check ETA (x:nat) (y:nat), Nat.add.
+Check ETA (x y:nat), Nat.add.
+Check ETA x y, Nat.add.
+Unset Printing Notations.
+Check ETA (x:nat) (y:nat), Nat.add.
+Set Printing Notations.
+Check ETA x y, le_S.
+
+Notation "'CURRY' x .. y , f" := (fun x => .. (fun y => f (x, .. (y,tt) ..)) ..)
+ (at level 200, x binder, y binder).
+Check fun f => CURRY (x:nat) (y:bool), f.
+
+Notation "'CURRYINV' x .. y , f" := (fun x => .. (fun y => f (y, .. (x,tt) ..)) ..)
+ (at level 200, x binder, y binder).
+Check fun f => CURRYINV (x:nat) (y:bool), f.
+
+Notation "'CURRYLEFT' x .. y , f" := (fun x => .. (fun y => f (.. (tt,x) .., y)) ..)
+ (at level 200, x binder, y binder).
+Check fun f => CURRYLEFT (x:nat) (y:bool), f.
+
+Notation "'CURRYINVLEFT' x .. y , f" := (fun x => .. (fun y => f (.. (tt,y) .., x)) ..)
+ (at level 200, x binder, y binder).
+Check fun f => CURRYINVLEFT (x:nat) (y:bool), f.
+
+(**********************************************************************)
+(* Notations with variables bound both as a term and as a binder *)
+(* This is #4592 *)
+
+Notation "{# x | P }" := (ex2 (fun y => x = y) (fun x => P)).
+Check forall n:nat, {# n | 1 > n}.
+
+Parameter foo : forall {T}(x : T)(P : T -> Prop), Prop.
+Notation "{| x | P |}" := (foo x (fun x => P)).
+Check forall x:nat, {| x | x > 0 |}.
+
+Check ex2 (fun x => x=1) (fun x0 => x0=2).
+
+(* Other tests about alpha-conversions: the following notation
+ contains all three kinds of bindings:
+
+ - x is bound in the lhs as a term and a binder: its name is forced
+ by its position as a term; it can bind variables in P
+ - y is bound in the lhs as a binder only: its name is given by its
+ name as a binder in the term to display; it can bind variables in P
+ - z is a binder local to the rhs; it cannot bind a variable in P
+*)
+
+Parameter foo2 : forall {T}(x : T)(P : T -> T -> T -> Prop), Prop.
+Notation "{| x , y | P |}_2" := (foo2 x (fun x y z => P z y x)).
+
+(* Not printable: z (resp c, n) occurs in P *)
+Check fun n => foo2 n (fun x y z => (fun _ _ _ => x+y+z=0) z y x).
+Check fun n => foo2 n (fun a b c => (fun _ _ _ => a+b+c=0) c b a).
+Check fun n => foo2 n (fun n y z => (fun _ _ _ => n+y+z=0) z y n).
+Check fun n => foo2 n (fun x n z => (fun _ _ _ => x+n+z=0) z n x).
+Check fun n => foo2 n (fun x y n => (fun _ _ _ => x+y+n=0) n y x).
+
+(* Printable *)
+Check fun n => foo2 n (fun x y z => (fun _ _ _ => x+y=0) z y x).
+Check fun n => foo2 n (fun n y z => (fun _ _ _ => n+y=0) z y n).
+Check fun n => foo2 n (fun x n z => (fun _ _ _ => x+n=0) z n x).
+
+(* Not printable: renaming x into n would bind the 2nd occurrence of n *)
+Check fun n => foo2 n (fun x y z => (fun _ _ _ => x+y+n=0) z y x).
+Check fun n => foo2 n (fun x y z => (fun _ _ _ => x+y+n=0) z y x).
+
+(* Other tests *)
+Parameter foo3 : forall {T}(x : T)(P : T -> T -> T -> Prop), Prop.
+Notation "{| x , P |}_3" := (foo3 x (fun x x x => P x)).
+
+(* Printable *)
+Check fun n : nat => foo3 n (fun x y z => (fun _ => 0=0) z).
+Check fun n => foo3 n (fun x y z => (fun _ => z=0) z).
+
+(* Not printable: renaming z in n would hide the renaming of x into n *)
+Check fun n => foo3 n (fun x y z => (fun _ => x=0) z).
+
+(* Other tests *)
+Parameter foo4 : forall {T}(x : T)(P : T -> T -> T -> Prop), Prop.
+Notation "{| x , P |}_4" := (foo4 x (fun x _ z => P z)).
+
+(* Printable *)
+Check fun n : nat => foo4 n (fun x y z => (fun _ => 0=0) z).
+Check fun n => foo4 n (fun x y z => (fun _ => x=0) z).
+
+(* Not printable: y, z not allowed to occur in P *)
+Check fun n => foo4 n (fun x y z => (fun _ => z=0) z).
+Check fun n => foo4 n (fun x y z => (fun _ => y=0) z).
+
+(**********************************************************************)
+(* Test printing of #4932 *)
+
+Inductive ftele : Type :=
+| fb {T:Type} : T -> ftele
+| fr {T} : (T -> ftele) -> ftele.
+
+Fixpoint args ftele : Type :=
+ match ftele with
+ | fb _ => unit
+ | fr f => sigT (fun t => args (f t))
+ end.
+
+Definition fpack := sigT args.
+Definition pack fp fa : fpack := existT _ fp fa.
+
+Notation "'tele' x .. z := b" :=
+ (fun x => .. (fun z =>
+ pack (fr (fun x => .. ( fr (fun z => fb b) ) .. ) )
+ (existT _ x .. (existT _ z tt) .. )
+ ) ..)
+ (at level 85, x binder, z binder).
+
+Check tele (t:Type) '((y,z):nat*nat) (x:t) := tt.