diff options
Diffstat (limited to 'test-suite')
| -rw-r--r-- | test-suite/bugs/closed/bug_12806.v | 9 | ||||
| -rw-r--r-- | test-suite/micromega/bug_11656.v | 11 | ||||
| -rw-r--r-- | test-suite/micromega/bug_12184.v | 8 | ||||
| -rw-r--r-- | test-suite/micromega/bug_14054.v | 46 | ||||
| -rw-r--r-- | test-suite/micromega/example.v | 6 | ||||
| -rw-r--r-- | test-suite/micromega/example_nia.v | 35 | ||||
| -rwxr-xr-x | test-suite/misc/vio_checking.sh | 32 | ||||
| -rw-r--r-- | test-suite/misc/vio_checking.v | 9 | ||||
| -rw-r--r-- | test-suite/misc/vio_checking_bad.v | 4 | ||||
| -rw-r--r-- | test-suite/success/Omega.v | 1 | ||||
| -rw-r--r-- | test-suite/success/RemoteUnivs.v | 31 | ||||
| -rw-r--r-- | test-suite/vio/univ_constraints_statements_body.v | 7 |
12 files changed, 194 insertions, 5 deletions
diff --git a/test-suite/bugs/closed/bug_12806.v b/test-suite/bugs/closed/bug_12806.v new file mode 100644 index 0000000000..ee221d33a6 --- /dev/null +++ b/test-suite/bugs/closed/bug_12806.v @@ -0,0 +1,9 @@ +Require Import Ltac2.Ltac2. + +Declare Scope my_scope. +Delimit Scope my_scope with my_scope. + +Notation "###" := tt : my_scope. + +Ltac2 Notation "bar" c(open_constr(my_scope)) := c. +Ltac2 Eval bar ###. diff --git a/test-suite/micromega/bug_11656.v b/test-suite/micromega/bug_11656.v new file mode 100644 index 0000000000..19846ad50a --- /dev/null +++ b/test-suite/micromega/bug_11656.v @@ -0,0 +1,11 @@ +Require Import Lia. +Require Import NArith. +Open Scope N_scope. + +Goal forall (a b c: N), + a <> 0 -> + c <> 0 -> + a * ((b + 1) * c) <> 0. +Proof. + intros. nia. +Qed. diff --git a/test-suite/micromega/bug_12184.v b/test-suite/micromega/bug_12184.v new file mode 100644 index 0000000000..d329a3fa7f --- /dev/null +++ b/test-suite/micromega/bug_12184.v @@ -0,0 +1,8 @@ +Require Import Lia. +Require Import ZArith. + +Goal forall p : positive, (0 < Z.pos (2^p)%positive)%Z. +Proof. + intros p. + lia. +Qed. diff --git a/test-suite/micromega/bug_14054.v b/test-suite/micromega/bug_14054.v new file mode 100644 index 0000000000..d97e13375f --- /dev/null +++ b/test-suite/micromega/bug_14054.v @@ -0,0 +1,46 @@ +(* bug 13242 *) + +Require Import Lia. +Fail Add Zify InjTyp id. + +(* bug 14054 *) + +Require Import Coq.ZArith.ZArith. Open Scope Z_scope. +Require Coq.Init.Byte . +Require Import Coq.micromega.ZifyClasses Coq.micromega.Lia. + +Notation byte := Coq.Init.Byte.byte. + +Module byte. + Definition unsigned(b: byte): Z := Z.of_N (Byte.to_N b). +End byte. + +Section WithA. + Context (A: Type). + Fixpoint tuple(n: nat): Type := + match n with + | O => unit + | S m => A * tuple m + end. +End WithA. + +Module LittleEndian. + Fixpoint combine (n : nat) : forall (bs : tuple byte n), Z := + match n with + | O => fun _ => 0 + | S n => fun bs => Z.lor (byte.unsigned (fst bs)) + (Z.shiftl (combine n (snd bs)) 8) + end. + Lemma combine_bound: forall {n: nat} (t: tuple byte n), + 0 <= LittleEndian.combine n t < 2 ^ (8 * Z.of_nat n). + Admitted. +End LittleEndian. + +Instance InjByteTuple{n: nat}: InjTyp (tuple byte n) Z := {| + inj := LittleEndian.combine n; + pred x := 0 <= x < 2 ^ (8 * Z.of_nat n); + cstr := @LittleEndian.combine_bound n; +|}. +Fail Add Zify InjTyp InjByteTuple. +Fail Add Zify UnOp InjByteTuple. +Fail Add Zify UnOp X. diff --git a/test-suite/micromega/example.v b/test-suite/micromega/example.v index d70bb809c6..d22e2b7c8c 100644 --- a/test-suite/micromega/example.v +++ b/test-suite/micromega/example.v @@ -12,6 +12,12 @@ Open Scope Z_scope. Require Import ZMicromega. Require Import VarMap. +Lemma power_pos : forall x y, 0 <= x \/ False -> x^ y >= 0. +Proof. + intros. + lia. +Qed. + Lemma not_so_easy : forall x n : Z, 2*x + 1 <= 2 *n -> x <= n-1. Proof. diff --git a/test-suite/micromega/example_nia.v b/test-suite/micromega/example_nia.v index 485c24f0c9..e79b76b810 100644 --- a/test-suite/micromega/example_nia.v +++ b/test-suite/micromega/example_nia.v @@ -7,10 +7,16 @@ (************************************************************************) Require Import ZArith. -Require Import Psatz. Open Scope Z_scope. -Require Import ZMicromega. +Require Import ZMicromega Lia. Require Import VarMap. +Unset Nia Cache. + +Goal forall (x y: Z), 0 < (1+y^2)^(x^2). +Proof. nia. Qed. + +Goal forall (x y: Z), 0 <= (y^2)^x. +Proof. nia. Qed. (* false in Q : x=1/2 and n=1 *) @@ -347,8 +353,8 @@ Lemma hol_light17 : forall x y, -> x * y * (x + y) <= x ^ 2 + y ^ 2. Proof. intros. - Fail nia. -Abort. + nia. +Qed. Lemma hol_light18 : forall x y, @@ -507,3 +513,24 @@ Proof. intros. lia. Qed. + +Lemma mult : forall x x0 x1 x2 n n0 n1 n2, + 0 <= x -> 0 <= x0 -> 0 <= x1 -> 0 <= x2 -> + 0 <= n -> 0 <= n0 -> 0 <= n1 -> 0 <= n2 -> + (n1 * x <= n2 * x1) -> + (n * x0 <= n0 * x2) -> + (n1 * n * (x * x0) > n2 * n0 * (x1 * x2)) -> False. +Proof. + intros. + nia. +Qed. + + +Lemma mult_nat : forall x x0 x1 x2 n n0 n1 n2, + (n1 * x <= n2 * x1)%nat -> + (n * x0 <= n0 * x2)%nat -> + (n1 * n * (x * x0) > n2 * n0 * (x1 * x2))%nat -> False. +Proof. + intros. + nia. +Qed. diff --git a/test-suite/misc/vio_checking.sh b/test-suite/misc/vio_checking.sh new file mode 100755 index 0000000000..ffa909e93b --- /dev/null +++ b/test-suite/misc/vio_checking.sh @@ -0,0 +1,32 @@ +#!/usr/bin/env bash + +set -ex + +export COQBIN=$BIN +export PATH=$COQBIN:$PATH + +cd misc + +rm -f vio_checking{,bad}.{vo,vio} + +coqc -vio vio_checking.v +coqc -vio vio_checking_bad.v + +coqc -schedule-vio-checking 2 vio_checking.vio + +if coqc -schedule-vio-checking 2 vio_checking_bad.vio; then + echo 'vio-checking on vio_checking_bad.vio should have failed!' + exit 1 +fi +if coqc -schedule-vio-checking 2 vio_checking.vio vio_checking_bad.vio; then + echo 'vio-checking on vio_checking vio_checking_bad.vio should have failed!' + exit 1 +fi + +coqc -vio2vo vio_checking.vio +coqchk -silent vio_checking.vo + +if coqc -vio2vo vio_checking_bad.vio; then + echo 'vio2vo on vio_checking_bad.vio should have failed!' + exit 1 +fi diff --git a/test-suite/misc/vio_checking.v b/test-suite/misc/vio_checking.v new file mode 100644 index 0000000000..8dd5e47383 --- /dev/null +++ b/test-suite/misc/vio_checking.v @@ -0,0 +1,9 @@ + +Lemma foo : Type. +Proof. exact Type. Qed. + +Lemma foo1 : Type. +Proof. exact Type. Qed. + +Lemma foo2 : Type. +Proof. exact foo1. Qed. diff --git a/test-suite/misc/vio_checking_bad.v b/test-suite/misc/vio_checking_bad.v new file mode 100644 index 0000000000..f32d06f34a --- /dev/null +++ b/test-suite/misc/vio_checking_bad.v @@ -0,0 +1,4 @@ +(* a file to check that vio-checking is not a noop *) + +Lemma foo : Type. +Proof. match goal with |- ?G => exact G end. Qed. diff --git a/test-suite/success/Omega.v b/test-suite/success/Omega.v index bbdf9762a3..a530c34297 100644 --- a/test-suite/success/Omega.v +++ b/test-suite/success/Omega.v @@ -1,4 +1,3 @@ - Require Import Lia ZArith. (* Submitted by Xavier Urbain 18 Jan 2002 *) diff --git a/test-suite/success/RemoteUnivs.v b/test-suite/success/RemoteUnivs.v new file mode 100644 index 0000000000..5ab4937dda --- /dev/null +++ b/test-suite/success/RemoteUnivs.v @@ -0,0 +1,31 @@ + + +Goal Type * Type. +Proof. + split. + par: exact Type. +Qed. + +Goal Type. +Proof. + exact Type. +Qed. + +(* (* coqide test, note the delegated proofs seem to get an empty dirpath? + or I got confused because I had lemma foo in file foo + *) +Definition U := Type. + +Lemma foo : U. +Proof. + exact Type. +Qed. + + +Lemma foo1 : Type. +Proof. + exact (U:Type). +Qed. + +Print foo. +*) diff --git a/test-suite/vio/univ_constraints_statements_body.v b/test-suite/vio/univ_constraints_statements_body.v new file mode 100644 index 0000000000..6302adefc2 --- /dev/null +++ b/test-suite/vio/univ_constraints_statements_body.v @@ -0,0 +1,7 @@ +Definition T := Type. +Definition T1 : T := Type. + +Lemma x : True. +Proof. +exact (let a : T := Type in I). +Qed. |
