diff options
Diffstat (limited to 'plugins/micromega/Psatz.v')
| -rw-r--r-- | plugins/micromega/Psatz.v | 71 |
1 files changed, 17 insertions, 54 deletions
diff --git a/plugins/micromega/Psatz.v b/plugins/micromega/Psatz.v index a461b26a..8acf0ff8 100644 --- a/plugins/micromega/Psatz.v +++ b/plugins/micromega/Psatz.v @@ -8,7 +8,7 @@ (* *) (* Micromega: A reflexive tactic using the Positivstellensatz *) (* *) -(* Frédéric Besson (Irisa/Inria) 2006-2008 *) +(* Frédéric Besson (Irisa/Inria) 2006-2016 *) (* *) (************************************************************************) @@ -20,75 +20,36 @@ Require Import ZArith. Require Import Rdefinitions. Require Import RingMicromega. Require Import VarMap. -Require Tauto. -Declare ML Module "micromega_plugin". +Require Coq.micromega.Tauto. +Require Lia. +Require Lra. +Require Lqa. -Ltac preprocess := - zify ; unfold Z.succ in * ; unfold Z.pred in *. +Declare ML Module "micromega_plugin". -Ltac lia := - preprocess; - xlia ; - abstract ( - intros __wit __varmap __ff ; - change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; - apply (ZTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true)). +Ltac lia := Lia.lia. -Ltac nia := - preprocess; - xnlia ; - abstract ( - intros __wit __varmap __ff ; - change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; - apply (ZTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true)). +Ltac nia := Lia.nia. Ltac xpsatz dom d := let tac := lazymatch dom with | Z => - (sos_Z || psatz_Z d) ; - abstract( - intros __wit __varmap __ff ; - change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ; - apply (ZTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true)) + (sos_Z Lia.zchecker) || (psatz_Z d Lia.zchecker) | R => - (sos_R || psatz_R d) ; - (* If csdp is not installed, the previous step might not produce any - progress: the rest of the tactical will then fail. Hence the 'try'. *) - try (abstract(intros __wit __varmap __ff ; - change (Tauto.eval_f (Reval_formula (@find R 0%R __varmap)) __ff) ; - apply (RTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true))) - | Q => - (sos_Q || psatz_Q d) ; - (* If csdp is not installed, the previous step might not produce any - progress: the rest of the tactical will then fail. Hence the 'try'. *) - try (abstract(intros __wit __varmap __ff ; - change (Tauto.eval_f (Qeval_formula (@find Q 0%Q __varmap)) __ff) ; - apply (QTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true))) + (sos_R Lra.rchecker) || (psatz_R d Lra.rchecker) + | Q => (sos_Q Lqa.rchecker) || (psatz_Q d Lqa.rchecker) | _ => fail "Unsupported domain" end in tac. Tactic Notation "psatz" constr(dom) int_or_var(n) := xpsatz dom n. -Tactic Notation "psatz" constr(dom) := xpsatz dom ltac:-1. +Tactic Notation "psatz" constr(dom) := xpsatz dom ltac:(-1). Ltac psatzl dom := let tac := lazymatch dom with - | Z => lia - | Q => - psatzl_Q ; - (* If csdp is not installed, the previous step might not produce any - progress: the rest of the tactical will then fail. Hence the 'try'. *) - try (abstract(intros __wit __varmap __ff ; - change (Tauto.eval_f (Qeval_formula (@find Q 0%Q __varmap)) __ff) ; - apply (QTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true))) - | R => - unfold Rdiv in * ; - psatzl_R ; - (* If csdp is not installed, the previous step might not produce any - progress: the rest of the tactical will then fail. Hence the 'try'. *) - try abstract((intros __wit __varmap __ff ; - change (Tauto.eval_f (Reval_formula (@find R 0%R __varmap)) __ff) ; - apply (RTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true))) + | Z => Lia.lia + | Q => Lqa.lra + | R => Lra.lra | _ => fail "Unsupported domain" end in tac. @@ -96,6 +57,8 @@ Ltac psatzl dom := Ltac lra := first [ psatzl R | psatzl Q ]. +Ltac nra := + first [ Lra.nra | Lqa.nra ]. (* Local Variables: *) |