diff options
Diffstat (limited to 'lib')
| -rw-r--r-- | lib/coq/Sail2_instr_kinds.v | 15 | ||||
| -rw-r--r-- | lib/coq/Sail2_operators_mwords.v | 16 | ||||
| -rw-r--r-- | lib/coq/Sail2_prompt.v | 21 | ||||
| -rw-r--r-- | lib/coq/Sail2_values.v | 16 | ||||
| -rw-r--r-- | lib/regfp.sail | 1 | ||||
| -rw-r--r-- | lib/smt.sail | 4 |
6 files changed, 67 insertions, 6 deletions
diff --git a/lib/coq/Sail2_instr_kinds.v b/lib/coq/Sail2_instr_kinds.v index eadc567a..c6fb866b 100644 --- a/lib/coq/Sail2_instr_kinds.v +++ b/lib/coq/Sail2_instr_kinds.v @@ -157,6 +157,7 @@ Inductive barrier_kind := | Barrier_RISCV_rw_r | Barrier_RISCV_r_w | Barrier_RISCV_w_r + | Barrier_RISCV_tso | Barrier_RISCV_i (* X86 *) | Barrier_x86_MFENCE. @@ -182,6 +183,11 @@ instance (Show barrier_kind) | Barrier_RISCV_r_r -> "Barrier_RISCV_r_r" | Barrier_RISCV_rw_w -> "Barrier_RISCV_rw_w" | Barrier_RISCV_w_w -> "Barrier_RISCV_w_w" + | Barrier_RISCV_w_rw -> "Barrier_RISCV_w_rw" + | Barrier_RISCV_rw_r -> "Barrier_RISCV_rw_r" + | Barrier_RISCV_r_w -> "Barrier_RISCV_r_w" + | Barrier_RISCV_w_r -> "Barrier_RISCV_w_r" + | Barrier_RISCV_tso -> "Barrier_RISCV_tso" | Barrier_RISCV_i -> "Barrier_RISCV_i" | Barrier_x86_MFENCE -> "Barrier_x86_MFENCE" end @@ -295,8 +301,13 @@ instance (EnumerationType barrier_kind) | Barrier_RISCV_r_r -> 15 | Barrier_RISCV_rw_w -> 16 | Barrier_RISCV_w_w -> 17 - | Barrier_RISCV_i -> 18 - | Barrier_x86_MFENCE -> 19 + | Barrier_RISCV_w_rw -> 18 + | Barrier_RISCV_rw_r -> 19 + | Barrier_RISCV_r_w -> 20 + | Barrier_RISCV_w_r -> 21 + | Barrier_RISCV_tso -> 22 + | Barrier_RISCV_i -> 23 + | Barrier_x86_MFENCE -> 24 end end *) diff --git a/lib/coq/Sail2_operators_mwords.v b/lib/coq/Sail2_operators_mwords.v index e37e9d26..7e4abe29 100644 --- a/lib/coq/Sail2_operators_mwords.v +++ b/lib/coq/Sail2_operators_mwords.v @@ -172,16 +172,32 @@ Definition zero_extend {a} (v : mword a) (n : Z) `{ArithFact (n >= a)} : mword n Definition sign_extend {a} (v : mword a) (n : Z) `{ArithFact (n >= a)} : mword n := exts_vec n v. +Definition zeros (n : Z) `{ArithFact (n >= 0)} : mword n. +refine (cast_to_mword (Word.wzero (Z.to_nat n)) _). +unwrap_ArithFacts. +apply Z2Nat.id. +auto with zarith. +Defined. + Lemma truncate_eq {m n} : m >= 0 -> m <= n -> (Z.to_nat n = Z.to_nat m + (Z.to_nat n - Z.to_nat m))%nat. intros. assert ((Z.to_nat m <= Z.to_nat n)%nat). { apply Z2Nat.inj_le; omega. } omega. Qed. +Lemma truncateLSB_eq {m n} : m >= 0 -> m <= n -> (Z.to_nat n = (Z.to_nat n - Z.to_nat m) + Z.to_nat m)%nat. +intros. +assert ((Z.to_nat m <= Z.to_nat n)%nat). +{ apply Z2Nat.inj_le; omega. } +omega. +Qed. Definition vector_truncate {n} (v : mword n) (m : Z) `{ArithFact (m >= 0)} `{ArithFact (m <= n)} : mword m := cast_to_mword (Word.split1 _ _ (cast_word (get_word v) (ltac:(unwrap_ArithFacts; apply truncate_eq; auto) : Z.to_nat n = Z.to_nat m + (Z.to_nat n - Z.to_nat m))%nat)) (ltac:(unwrap_ArithFacts; apply Z2Nat.id; omega) : Z.of_nat (Z.to_nat m) = m). +Definition vector_truncateLSB {n} (v : mword n) (m : Z) `{ArithFact (m >= 0)} `{ArithFact (m <= n)} : mword m := + cast_to_mword (Word.split2 _ _ (cast_word (get_word v) (ltac:(unwrap_ArithFacts; apply truncateLSB_eq; auto) : Z.to_nat n = (Z.to_nat n - Z.to_nat m) + Z.to_nat m)%nat)) (ltac:(unwrap_ArithFacts; apply Z2Nat.id; omega) : Z.of_nat (Z.to_nat m) = m). + Lemma concat_eq {a b} : a >= 0 -> b >= 0 -> Z.of_nat (Z.to_nat b + Z.to_nat a)%nat = a + b. intros. rewrite Nat2Z.inj_add. diff --git a/lib/coq/Sail2_prompt.v b/lib/coq/Sail2_prompt.v index 85ca95f6..bd0d7750 100644 --- a/lib/coq/Sail2_prompt.v +++ b/lib/coq/Sail2_prompt.v @@ -86,6 +86,27 @@ red. omega. Defined. +(* A version of well-foundedness of measures with a guard to ensure that + definitions can be reduced without inspecting proofs, based on a coq-club + thread featuring Barras, Gonthier and Gregoire, see + https://sympa.inria.fr/sympa/arc/coq-club/2007-07/msg00014.html *) + +Fixpoint pos_guard_wf {A:Type} {R:A -> A -> Prop} (p:positive) : well_founded R -> well_founded R := + match p with + | xH => fun wfR x => Acc_intro x (fun y _ => wfR y) + | xO p' => fun wfR x => let F := pos_guard_wf p' in Acc_intro x (fun y _ => F (F +wfR) y) + | xI p' => fun wfR x => let F := pos_guard_wf p' in Acc_intro x (fun y _ => F (F +wfR) y) + end. + +Definition Zwf_guarded (z:Z) : Acc (Zwf 0) z := + match z with + | Zpos p => pos_guard_wf p (Zwf_well_founded _) _ + | _ => Zwf_well_founded _ _ + end. + + (*val whileM : forall 'rv 'vars 'e. 'vars -> ('vars -> monad 'rv bool 'e) -> ('vars -> monad 'rv 'vars 'e) -> monad 'rv 'vars 'e let rec whileM vars cond body = diff --git a/lib/coq/Sail2_values.v b/lib/coq/Sail2_values.v index 37e75961..219a6f84 100644 --- a/lib/coq/Sail2_values.v +++ b/lib/coq/Sail2_values.v @@ -9,6 +9,7 @@ Require Export List. Require Export Sumbool. Require Export DecidableClass. Require Import Eqdep_dec. +Require Export Zeuclid. Import ListNotations. Open Scope Z. @@ -1125,6 +1126,10 @@ repeat end. *) +(* The linear solver doesn't like existentials. *) +Ltac destruct_exists := + repeat match goal with H:@ex Z _ |- _ => destruct H end. + Ltac prepare_for_solver := (*dump_context;*) clear_irrelevant_defns; @@ -1134,6 +1139,7 @@ Ltac prepare_for_solver := extract_properties; repeat match goal with w:mword ?n |- _ => apply ArithFact_mword in w end; unwrap_ArithFacts; + destruct_exists; unbool_comparisons; unfold_In; (* after unbool_comparisons to deal with && and || *) reduce_list_lengths; @@ -1175,6 +1181,8 @@ prepare_for_solver; [ match goal with |- ArithFact (?x _) => is_evar x; idtac "Warning: unknown constraint"; constructor; exact (I : (fun _ => True) _) end | apply ArithFact_mword; assumption | constructor; omega with Z + (* Try sail hints before dropping the existential *) + | constructor; eauto 3 with zarith sail (* The datatypes hints give us some list handling, esp In *) | constructor; drop_exists; eauto 3 with datatypes zarith sail | constructor; idtac "Unable to solve constraint"; dump_context; fail @@ -1647,8 +1655,8 @@ end (* Arithmetic functions which return proofs that match the expected Sail types in smt.sail. *) -Definition div_with_eq n m : {o : Z & ArithFact (o = Z.quot n m)} := build_ex (Z.quot n m). -Definition mod_with_eq n m : {o : Z & ArithFact (o = Z.rem n m)} := build_ex (Z.rem n m). +Definition ediv_with_eq n m : {o : Z & ArithFact (o = ZEuclid.div n m)} := build_ex (ZEuclid.div n m). +Definition emod_with_eq n m : {o : Z & ArithFact (o = ZEuclid.modulo n m)} := build_ex (ZEuclid.modulo n m). Definition abs_with_eq n : {o : Z & ArithFact (o = Z.abs n)} := build_ex (Z.abs n). (* Similarly, for ranges (currently in MIPS) *) @@ -1798,3 +1806,7 @@ Definition sub_nat (x : Z) `{ArithFact (x >= 0)} (y : Z) `{ArithFact (y >= 0)} : Definition min_nat (x : Z) `{ArithFact (x >= 0)} (y : Z) `{ArithFact (y >= 0)} : {z : Z & ArithFact (z >= 0)} := build_ex (Z.min x y). + +Definition max_nat (x : Z) `{ArithFact (x >= 0)} (y : Z) `{ArithFact (y >= 0)} : + {z : Z & ArithFact (z >= 0)} := + build_ex (Z.max x y). diff --git a/lib/regfp.sail b/lib/regfp.sail index fcf10850..cc017585 100644 --- a/lib/regfp.sail +++ b/lib/regfp.sail @@ -79,6 +79,7 @@ enum barrier_kind = { Barrier_RISCV_rw_r, Barrier_RISCV_r_w, Barrier_RISCV_w_r, + Barrier_RISCV_tso, Barrier_RISCV_i, Barrier_x86_MFENCE } diff --git a/lib/smt.sail b/lib/smt.sail index 680898a3..e73897b1 100644 --- a/lib/smt.sail +++ b/lib/smt.sail @@ -8,7 +8,7 @@ val div = { ocaml: "quotient", lem: "integerDiv", c: "tdiv_int", - coq: "div_with_eq" + coq: "ediv_with_eq" } : forall 'n 'm. (atom('n), atom('m)) -> atom(div('n, 'm)) // {'o, 'o == div('n, 'm). atom('o)} overload operator / = {div} @@ -18,7 +18,7 @@ val mod = { ocaml: "modulus", lem: "integerMod", c: "tmod_int", - coq: "mod_with_eq" + coq: "emod_with_eq" } : forall 'n 'm. (atom('n), atom('m)) -> {'o, 'o == mod('n, 'm). atom('o)} overload operator % = {mod} |
