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Diffstat (limited to 'test-suite/success/NumeralNotations.v')
| -rw-r--r-- | test-suite/success/NumeralNotations.v | 302 |
1 files changed, 302 insertions, 0 deletions
diff --git a/test-suite/success/NumeralNotations.v b/test-suite/success/NumeralNotations.v new file mode 100644 index 00000000..47ef3812 --- /dev/null +++ b/test-suite/success/NumeralNotations.v @@ -0,0 +1,302 @@ +(* Test that we fail, rather than raising anomalies, on opaque terms during interpretation *) + +(* https://github.com/coq/coq/pull/8064#discussion_r202497516 *) +Module Test1. + Axiom hold : forall {A B C}, A -> B -> C. + Definition opaque3 (x : Decimal.int) : Decimal.int := hold x (fix f (x : nat) : nat := match x with O => O | S n => S (f n) end). + Numeral Notation Decimal.int opaque3 opaque3 : opaque_scope. + Delimit Scope opaque_scope with opaque. + Fail Check 1%opaque. +End Test1. + +(* https://github.com/coq/coq/pull/8064#discussion_r202497990 *) +Module Test2. + Axiom opaque4 : option Decimal.int. + Definition opaque6 (x : Decimal.int) : option Decimal.int := opaque4. + Numeral Notation Decimal.int opaque6 opaque6 : opaque_scope. + Delimit Scope opaque_scope with opaque. + Open Scope opaque_scope. + Fail Check 1%opaque. +End Test2. + +Module Test3. + Inductive silly := SILLY (v : Decimal.uint) (f : forall A, A -> A). + Definition to_silly (v : Decimal.uint) := SILLY v (fun _ x => x). + Definition of_silly (v : silly) := match v with SILLY v _ => v end. + Numeral Notation silly to_silly of_silly : silly_scope. + Delimit Scope silly_scope with silly. + Fail Check 1%silly. +End Test3. + + +Module Test4. + Polymorphic NonCumulative Inductive punit := ptt. + Polymorphic Definition pto_punit (v : Decimal.uint) : option punit := match Nat.of_uint v with O => Some ptt | _ => None end. + Polymorphic Definition pto_punit_all (v : Decimal.uint) : punit := ptt. + Polymorphic Definition pof_punit (v : punit) : Decimal.uint := Nat.to_uint 0. + Definition to_punit (v : Decimal.uint) : option punit := match Nat.of_uint v with O => Some ptt | _ => None end. + Definition of_punit (v : punit) : Decimal.uint := Nat.to_uint 0. + Polymorphic Definition pto_unit (v : Decimal.uint) : option unit := match Nat.of_uint v with O => Some tt | _ => None end. + Polymorphic Definition pof_unit (v : unit) : Decimal.uint := Nat.to_uint 0. + Definition to_unit (v : Decimal.uint) : option unit := match Nat.of_uint v with O => Some tt | _ => None end. + Definition of_unit (v : unit) : Decimal.uint := Nat.to_uint 0. + Numeral Notation punit to_punit of_punit : pto. + Numeral Notation punit pto_punit of_punit : ppo. + Numeral Notation punit to_punit pof_punit : ptp. + Numeral Notation punit pto_punit pof_punit : ppp. + Numeral Notation unit to_unit of_unit : uto. + Delimit Scope pto with pto. + Delimit Scope ppo with ppo. + Delimit Scope ptp with ptp. + Delimit Scope ppp with ppp. + Delimit Scope uto with uto. + Check let v := 0%pto in v : punit. + Check let v := 0%ppo in v : punit. + Check let v := 0%ptp in v : punit. + Check let v := 0%ppp in v : punit. + Check let v := 0%uto in v : unit. + Fail Check 1%uto. + Fail Check (-1)%uto. + Numeral Notation unit pto_unit of_unit : upo. + Numeral Notation unit to_unit pof_unit : utp. + Numeral Notation unit pto_unit pof_unit : upp. + Delimit Scope upo with upo. + Delimit Scope utp with utp. + Delimit Scope upp with upp. + Check let v := 0%upo in v : unit. + Check let v := 0%utp in v : unit. + Check let v := 0%upp in v : unit. + + Polymorphic Definition pto_punits := pto_punit_all@{Set}. + Polymorphic Definition pof_punits := pof_punit@{Set}. + Numeral Notation punit pto_punits pof_punits : ppps (abstract after 1). + Delimit Scope ppps with ppps. + Universe u. + Constraint Set < u. + Check let v := 0%ppps in v : punit@{u}. (* Check that universes are refreshed *) + Fail Check let v := 1%ppps in v : punit@{u}. (* Note that universes are not refreshed here *) +End Test4. + +Module Test5. + Check S. (* At one point gave Error: Anomaly "Uncaught exception Pretype_errors.PretypeError(_, _, _)." Please report at http://coq.inria.fr/bugs/. *) +End Test5. + +Module Test6. + (* Check that numeral notations on enormous terms don't take forever to print/parse *) + (* Ackerman definition from https://stackoverflow.com/a/10303475/377022 *) + Fixpoint ack (n m : nat) : nat := + match n with + | O => S m + | S p => let fix ackn (m : nat) := + match m with + | O => ack p 1 + | S q => ack p (ackn q) + end + in ackn m + end. + + Timeout 1 Check (S (ack 4 4)). (* should be instantaneous *) + + Local Set Primitive Projections. + Record > wnat := wrap { unwrap :> nat }. + Definition to_uint (x : wnat) : Decimal.uint := Nat.to_uint x. + Definition of_uint (x : Decimal.uint) : wnat := Nat.of_uint x. + Module Export Scopes. + Delimit Scope wnat_scope with wnat. + End Scopes. + Module Export Notations. + Export Scopes. + Numeral Notation wnat of_uint to_uint : wnat_scope (abstract after 5000). + End Notations. + Check let v := 0%wnat in v : wnat. + Check wrap O. + Timeout 1 Check wrap (ack 4 4). (* should be instantaneous *) +End Test6. + +Module Test6_2. + Import Test6.Scopes. + Check Test6.wrap 0. + Import Test6.Notations. + Check let v := 0%wnat in v : Test6.wnat. +End Test6_2. + +Module Test7. + Local Set Primitive Projections. + Record wuint := wrap { unwrap : Decimal.uint }. + Delimit Scope wuint_scope with wuint. + Numeral Notation wuint wrap unwrap : wuint_scope. + Check let v := 0%wuint in v : wuint. + Check let v := 1%wuint in v : wuint. +End Test7. + +Module Test8. + Local Set Primitive Projections. + Record wuint := wrap { unwrap : Decimal.uint }. + Delimit Scope wuint8_scope with wuint8. + Delimit Scope wuint8'_scope with wuint8'. + Section with_var. + Context (dummy : unit). + Definition wrap' := let __ := dummy in wrap. + Definition unwrap' := let __ := dummy in unwrap. + Numeral Notation wuint wrap' unwrap' : wuint8_scope. + Check let v := 0%wuint8 in v : wuint. + End with_var. + Check let v := 0%wuint8 in v : nat. + Fail Check let v := 0%wuint8 in v : wuint. + Compute wrap (Nat.to_uint 0). + + Notation wrap'' := wrap. + Notation unwrap'' := unwrap. + Numeral Notation wuint wrap'' unwrap'' : wuint8'_scope. + Check let v := 0%wuint8' in v : wuint. +End Test8. + +Module Test9. + Delimit Scope wuint9_scope with wuint9. + Delimit Scope wuint9'_scope with wuint9'. + Section with_let. + Local Set Primitive Projections. + Record wuint := wrap { unwrap : Decimal.uint }. + Let wrap' := wrap. + Let unwrap' := unwrap. + Local Notation wrap'' := wrap. + Local Notation unwrap'' := unwrap. + Numeral Notation wuint wrap' unwrap' : wuint9_scope. + Check let v := 0%wuint9 in v : wuint. + Numeral Notation wuint wrap'' unwrap'' : wuint9'_scope. + Check let v := 0%wuint9' in v : wuint. + End with_let. + Check let v := 0%wuint9 in v : nat. + Fail Check let v := 0%wuint9 in v : wuint. +End Test9. + +Module Test10. + (* Test that it is only a warning to add abstract after to an optional parsing function *) + Definition to_uint (v : unit) := Nat.to_uint 0. + Definition of_uint (v : Decimal.uint) := match Nat.of_uint v with O => Some tt | _ => None end. + Definition of_any_uint (v : Decimal.uint) := tt. + Delimit Scope unit_scope with unit. + Delimit Scope unit2_scope with unit2. + Numeral Notation unit of_uint to_uint : unit_scope (abstract after 1). + Local Set Warnings Append "+abstract-large-number-no-op". + (* Check that there is actually a warning here *) + Fail Numeral Notation unit of_uint to_uint : unit2_scope (abstract after 1). + (* Check that there is no warning here *) + Numeral Notation unit of_any_uint to_uint : unit2_scope (abstract after 1). +End Test10. + +Module Test11. + (* Test that numeral notations don't work on proof-local variables, especially not ones containing evars *) + Inductive unit11 := tt11. + Delimit Scope unit11_scope with unit11. + Goal True. + evar (to_uint : unit11 -> Decimal.uint). + evar (of_uint : Decimal.uint -> unit11). + Fail Numeral Notation unit11 of_uint to_uint : uint11_scope. + exact I. + Unshelve. + all: solve [ constructor ]. + Qed. +End Test11. + +Module Test12. + (* Test for numeral notations on context variables *) + Delimit Scope test12_scope with test12. + Section test12. + Context (to_uint : unit -> Decimal.uint) (of_uint : Decimal.uint -> unit). + + Numeral Notation unit of_uint to_uint : test12_scope. + Check let v := 1%test12 in v : unit. + End test12. +End Test12. + +Module Test13. + (* Test for numeral notations on notations which do not denote references *) + Delimit Scope test13_scope with test13. + Delimit Scope test13'_scope with test13'. + Delimit Scope test13''_scope with test13''. + Definition to_uint (x y : unit) : Decimal.uint := Nat.to_uint O. + Definition of_uint (x : Decimal.uint) : unit := tt. + Definition to_uint_good := to_uint tt. + Notation to_uint' := (to_uint tt). + Notation to_uint'' := (to_uint _). + Numeral Notation unit of_uint to_uint_good : test13_scope. + Check let v := 0%test13 in v : unit. + Fail Numeral Notation unit of_uint to_uint' : test13'_scope. + Fail Check let v := 0%test13' in v : unit. + Fail Numeral Notation unit of_uint to_uint'' : test13''_scope. + Fail Check let v := 0%test13'' in v : unit. +End Test13. + +Module Test14. + (* Test that numeral notations follow [Import], not [Require], and + also test that [Local Numeral Notation]s do not escape modules + nor sections. *) + Delimit Scope test14_scope with test14. + Delimit Scope test14'_scope with test14'. + Delimit Scope test14''_scope with test14''. + Delimit Scope test14'''_scope with test14'''. + Module Inner. + Definition to_uint (x : unit) : Decimal.uint := Nat.to_uint O. + Definition of_uint (x : Decimal.uint) : unit := tt. + Local Numeral Notation unit of_uint to_uint : test14_scope. + Global Numeral Notation unit of_uint to_uint : test14'_scope. + Check let v := 0%test14 in v : unit. + Check let v := 0%test14' in v : unit. + End Inner. + Fail Check let v := 0%test14 in v : unit. + Fail Check let v := 0%test14' in v : unit. + Import Inner. + Fail Check let v := 0%test14 in v : unit. + Check let v := 0%test14' in v : unit. + Section InnerSection. + Definition to_uint (x : unit) : Decimal.uint := Nat.to_uint O. + Definition of_uint (x : Decimal.uint) : unit := tt. + Local Numeral Notation unit of_uint to_uint : test14''_scope. + Fail Global Numeral Notation unit of_uint to_uint : test14'''_scope. + Check let v := 0%test14'' in v : unit. + Fail Check let v := 0%test14''' in v : unit. + End InnerSection. + Fail Check let v := 0%test14'' in v : unit. + Fail Check let v := 0%test14''' in v : unit. +End Test14. + +Module Test15. + (** Test module include *) + Delimit Scope test15_scope with test15. + Module Inner. + Definition to_uint (x : unit) : Decimal.uint := Nat.to_uint O. + Definition of_uint (x : Decimal.uint) : unit := tt. + Numeral Notation unit of_uint to_uint : test15_scope. + Check let v := 0%test15 in v : unit. + End Inner. + Module Inner2. + Include Inner. + Check let v := 0%test15 in v : unit. + End Inner2. + Import Inner Inner2. + Check let v := 0%test15 in v : unit. +End Test15. + +Module Test16. + (** Test functors *) + Delimit Scope test16_scope with test16. + Module Type A. + Axiom T : Set. + Axiom t : T. + End A. + Module F (a : A). + Inductive Foo := foo (_ : a.T). + Definition to_uint (x : Foo) : Decimal.uint := Nat.to_uint O. + Definition of_uint (x : Decimal.uint) : Foo := foo a.t. + Global Numeral Notation Foo of_uint to_uint : test16_scope. + Check let v := 0%test16 in v : Foo. + End F. + Module a <: A. + Definition T : Set := unit. + Definition t : T := tt. + End a. + Module Import f := F a. + (** Ideally this should work, but it should definitely not anomaly *) + Fail Check let v := 0%test16 in v : Foo. +End Test16. |