diff options
author | 2015-12-11 13:02:37 +0100 | |
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committer | 2015-12-11 13:06:53 +0100 | |
commit | 50d241267e2eb41cb06eb2f48a5ce440f0458b71 (patch) | |
tree | f5d7c15cd62cf41177f2f902559ff21fc2988c54 /test-suite/success | |
parent | e70165079e8defe490a568ece20a7029e4c1626e (diff) | |
parent | 119d61453c6761f20b8862f47334bfb8fae0049e (diff) |
Merge branch 'v8.5'
Diffstat (limited to 'test-suite/success')
-rw-r--r-- | test-suite/success/intros.v | 26 | ||||
-rw-r--r-- | test-suite/success/vm_univ_poly.v | 141 | ||||
-rw-r--r-- | test-suite/success/vm_univ_poly_match.v | 28 |
3 files changed, 185 insertions, 10 deletions
diff --git a/test-suite/success/intros.v b/test-suite/success/intros.v index 741f372ff..11156aa0e 100644 --- a/test-suite/success/intros.v +++ b/test-suite/success/intros.v @@ -34,47 +34,53 @@ intros _ ?. exact H. Qed. -(* A short test about introduction pattern pat/c *) +(* A short test about introduction pattern pat%c *) Goal (True -> 0=0) -> True /\ False -> 0=0. -intros H (H1/H,_). +intros H (H1%H,_). exact H1. Qed. (* A test about bugs in 8.5beta2 *) Goal (True -> 0=0) -> True /\ False -> False -> 0=0. intros H H0 H1. -destruct H0 as (a/H,_). +destruct H0 as (a%H,_). (* Check that H0 is removed (was bugged in 8.5beta2) *) Fail clear H0. -(* Check position of newly created hypotheses when using pat/c (was +(* Check position of newly created hypotheses when using pat%c (was left at top in 8.5beta2) *) match goal with H:_ |- _ => clear H end. (* clear H1:False *) match goal with H:_ |- _ => exact H end. (* check that next hyp shows 0=0 *) Qed. Goal (True -> 0=0) -> True -> 0=0. -intros H H1/H. +intros H H1%H. exact H1. Qed. Goal forall n, n = S n -> 0=0. -intros n H/n_Sn. +intros n H%n_Sn. destruct H. Qed. (* Another check about generated names and cleared hypotheses with - pat/c patterns *) + pat%c patterns *) Goal (True -> 0=0 /\ 1=1) -> True -> 0=0. -intros H (H1,?)/H. +intros H (H1,?)%H. change (1=1) in H0. exact H1. Qed. -(* Checking iterated pat/c1.../cn introduction patterns and side conditions *) +(* Checking iterated pat%c1...%cn introduction patterns and side conditions *) Goal forall A B C D:Prop, (A -> B -> C) -> (C -> D) -> B -> A -> D. intros * H H0 H1. -intros H2/H/H0. +intros H2%H%H0. - exact H2. - exact H1. Qed. + +(* Bug found by Enrico *) + +Goal forall x : nat, True. +intros y%(fun x => x). +Abort. diff --git a/test-suite/success/vm_univ_poly.v b/test-suite/success/vm_univ_poly.v new file mode 100644 index 000000000..58fa39743 --- /dev/null +++ b/test-suite/success/vm_univ_poly.v @@ -0,0 +1,141 @@ +(* Basic tests *) +Polymorphic Definition pid {T : Type} (x : T) : T := x. +(* +Definition _1 : pid true = true := + @eq_refl _ true <: pid true = true. + +Polymorphic Definition a_type := Type. + +Definition _2 : a_type@{i} = Type@{i} := + @eq_refl _ Type@{i} <: a_type@{i} = Type@{i}. + +Polymorphic Definition FORALL (T : Type) (P : T -> Prop) : Prop := + forall x : T, P x. + +Polymorphic Axiom todo : forall {T:Type}, T -> T. + +Polymorphic Definition todo' (T : Type) := @todo T. + +Definition _3 : @todo'@{Set} = @todo@{Set} := + @eq_refl _ (@todo@{Set}) <: @todo'@{Set} = @todo@{Set}. +*) + +(* Inductive Types *) +Inductive sumbool (A B : Prop) : Set := +| left : A -> sumbool A B +| right : B -> sumbool A B. + +Definition x : sumbool True False := left _ _ I. + +Definition sumbool_copy {A B : Prop} (H : sumbool A B) : sumbool A B := + match H with + | left _ _ x => left _ _ x + | right _ _ x => right _ _ x + end. + +Definition _4 : sumbool_copy x = x := + @eq_refl _ x <: sumbool_copy x = x. + +(* Polymorphic Inductive Types *) +Polymorphic Inductive poption@{i} (T : Type@{i}) : Type@{i} := +| PSome : T -> poption@{i} T +| PNone : poption@{i} T. + +Polymorphic Definition poption_default@{i} {T : Type@{i}} (p : poption@{i} T) (x : T) : T := + match p with + | @PSome _ y => y + | @PNone _ => x + end. + +Polymorphic Inductive plist@{i} (T : Type@{i}) : Type@{i} := +| pnil +| pcons : T -> plist@{i} T -> plist@{i} T. + +Arguments pnil {_}. +Arguments pcons {_} _ _. + +Polymorphic Definition pmap@{i j} + {T : Type@{i}} {U : Type@{j}} (f : T -> U) := + fix pmap (ls : plist@{i} T) : plist@{j} U := + match ls with + | @pnil _ => @pnil _ + | @pcons _ l ls => @pcons@{j} U (f l) (pmap@{i j} ls) + end. + +Universe Ubool. +Inductive tbool : Type@{Ubool} := ttrue | tfalse. + + +Eval vm_compute in pmap pid (pcons true (pcons false pnil)). +Eval vm_compute in pmap (fun x => match x with + | pnil => true + | pcons _ _ => false + end) (pcons pnil (pcons (pcons false pnil) pnil)). +Eval vm_compute in pmap (fun x => x -> Type) (pcons tbool (pcons (plist tbool) pnil)). + +Polymorphic Inductive Tree@{i} (T : Type@{i}) : Type@{i} := +| Empty +| Branch : plist@{i} (Tree@{i} T) -> Tree@{i} T. + +Polymorphic Definition pfold@{i u} + {T : Type@{i}} {U : Type@{u}} (f : T -> U -> U) := + fix pfold (acc : U) (ls : plist@{i} T) : U := + match ls with + | pnil => acc + | pcons a b => pfold (f a acc) b + end. + +Polymorphic Inductive nat@{i} : Type@{i} := +| O +| S : nat -> nat. + +Polymorphic Fixpoint nat_max@{i} (a b : nat@{i}) : nat@{i} := + match a , b with + | O , b => b + | a , O => a + | S a , S b => S (nat_max a b) + end. + +Polymorphic Fixpoint height@{i} {T : Type@{i}} (t : Tree@{i} T) : nat@{i} := + match t return nat@{i} with + | Empty _ => O + | Branch _ ls => S@{i} (pfold@{i i} nat_max O (pmap height ls)) + end. + +Polymorphic Fixpoint repeat@{i} {T : Type@{i}} (n : nat@{i}) (v : T) : plist@{i} T := + match n return plist@{i} T with + | O => pnil + | S n => pcons@{i} v (repeat n v) + end. + +Polymorphic Fixpoint big_tree@{i} (n : nat@{i}) : Tree@{i} nat@{i} := + match n with + | O => @Empty nat@{i} + | S n' => Branch@{i} nat@{i} (repeat@{i} n' (big_tree@{i} n')) + end. + +Eval compute in height (big_tree (S (S (S O)))). + +Let big := S (S (S (S (S O)))). +Polymorphic Definition really_big@{i} := (S@{i} (S (S (S (S (S (S (S (S (S O)))))))))). + +Time Definition _5 : height (@Empty nat) = O := + @eq_refl nat O <: height (@Empty nat) = O. + +Time Definition _6 : height@{Set} (@Branch nat pnil) = S O := + @eq_refl nat@{Set} (S@{Set} O@{Set}) <: @eq nat@{Set} (height@{Set} (@Branch@{Set} nat@{Set} (@pnil@{Set} (Tree@{Set} nat@{Set})))) (S@{Set} O@{Set}). + +Time Definition _7 : height (big_tree big) = big := + @eq_refl nat big <: height (big_tree big) = big. + +Time Definition _8 : height (big_tree really_big) = really_big := + @eq_refl nat@{Set} (S@{Set} + (S@{Set} + (S@{Set} + (S@{Set} + (S@{Set} + (S@{Set} (S@{Set} (S@{Set} (S@{Set} (S@{Set} O@{Set})))))))))) + <: + @eq nat@{Set} + (@height nat@{Set} (big_tree really_big@{Set})) + really_big@{Set}. diff --git a/test-suite/success/vm_univ_poly_match.v b/test-suite/success/vm_univ_poly_match.v new file mode 100644 index 000000000..abe6d0fe0 --- /dev/null +++ b/test-suite/success/vm_univ_poly_match.v @@ -0,0 +1,28 @@ +Set Dump Bytecode. +Set Printing Universes. +Set Printing All. + +Polymorphic Class Applicative@{d c} (T : Type@{d} -> Type@{c}) := +{ pure : forall {A : Type@{d}}, A -> T A + ; ap : forall {A B : Type@{d}}, T (A -> B) -> T A -> T B +}. + +Universes Uo Ua. + +Eval compute in @pure@{Uo Ua}. + +Global Instance Applicative_option : Applicative@{Uo Ua} option := +{| pure := @Some + ; ap := fun _ _ f x => + match f , x with + | Some f , Some x => Some (f x) + | _ , _ => None + end +|}. + +Definition foo := ap (ap (pure plus) (pure 1)) (pure 1). + +Print foo. + + +Eval vm_compute in foo. |