From 16715e5efd6ce899eb3d544fd71751f367eaa370 Mon Sep 17 00:00:00 2001 From: David Monniaux Date: Fri, 11 Feb 2022 21:36:57 +0100 Subject: modulos --- kvx/Builtins1.v | 18 +++++++++++++++++- kvx/CBuiltins.ml | 4 ++++ kvx/SelectOp.vp | 8 ++++++++ kvx/SelectOpproof.v | 44 ++++++++++++++++++++++++++++++++++++++++++++ 4 files changed, 73 insertions(+), 1 deletion(-) (limited to 'kvx') diff --git a/kvx/Builtins1.v b/kvx/Builtins1.v index 9a04815b..a0473d07 100644 --- a/kvx/Builtins1.v +++ b/kvx/Builtins1.v @@ -29,7 +29,9 @@ Inductive platform_builtin : Type := | BI_lround_ne | BI_luround_ne | BI_fp_udiv32 -| BI_fp_udiv64. +| BI_fp_udiv64 +| BI_fp_umod32 +| BI_fp_umod64. Local Open Scope string_scope. @@ -44,6 +46,8 @@ Definition platform_builtin_table : list (string * platform_builtin) := :: ("__builtin_luround_ne", BI_luround_ne) :: ("__builtin_fp_udiv32", BI_fp_udiv32) :: ("__builtin_fp_udiv64", BI_fp_udiv64) + :: ("__builtin_fp_umod32", BI_fp_umod32) + :: ("__builtin_fp_umod64", BI_fp_umod64) :: nil. Definition platform_builtin_sig (b: platform_builtin) : signature := @@ -62,6 +66,10 @@ Definition platform_builtin_sig (b: platform_builtin) : signature := mksignature (Tint :: Tint :: nil) Tint cc_default | BI_fp_udiv64 => mksignature (Tlong :: Tlong :: nil) Tlong cc_default + | BI_fp_umod32 => + mksignature (Tint :: Tint :: nil) Tint cc_default + | BI_fp_umod64 => + mksignature (Tlong :: Tlong :: nil) Tlong cc_default end. Definition platform_builtin_sem (b: platform_builtin) : builtin_sem (sig_res (platform_builtin_sig b)) := @@ -82,4 +90,12 @@ Definition platform_builtin_sem (b: platform_builtin) : builtin_sem (sig_res (pl (fun n1 n2 => if Int64.eq n2 Int64.zero then None else Some (Int64.divu n1 n2)) + | BI_fp_umod32 => mkbuiltin_n2p Tint Tint Tint + (fun n1 n2 => if Int.eq n2 Int.zero + then None + else Some (Int.modu n1 n2)) + | BI_fp_umod64 => mkbuiltin_n2p Tlong Tlong Tlong + (fun n1 n2 => if Int64.eq n2 Int64.zero + then None + else Some (Int64.modu n1 n2)) end. diff --git a/kvx/CBuiltins.ml b/kvx/CBuiltins.ml index 49534867..5ca5ddba 100644 --- a/kvx/CBuiltins.ml +++ b/kvx/CBuiltins.ml @@ -141,6 +141,10 @@ let builtins = { (TInt(IUInt, []), [TInt(IUInt, []); TInt(IUInt, [])], false); "__builtin_fp_udiv64", (TInt(IULong, []), [TInt(IULong, []); TInt(IULong, [])], false); + "__builtin_fp_umod32", + (TInt(IUInt, []), [TInt(IUInt, []); TInt(IUInt, [])], false); + "__builtin_fp_umod64", + (TInt(IULong, []), [TInt(IULong, []); TInt(IULong, [])], false); ] } diff --git a/kvx/SelectOp.vp b/kvx/SelectOp.vp index 72a6e4b3..089afe1d 100644 --- a/kvx/SelectOp.vp +++ b/kvx/SelectOp.vp @@ -762,6 +762,14 @@ Definition platform_builtin (b: platform_builtin) (args: exprlist) : option expr | a:::b:::Enil => Some (FPDivision64.fp_divu64 a b) | _ => None end) + | BI_fp_umod32 => (match args with + | a:::b:::Enil => Some (FPDivision32.fp_modu32 a b) + | _ => None + end) + | BI_fp_umod64 => (match args with + | a:::b:::Enil => Some (FPDivision64.fp_modu64 a b) + | _ => None + end) end. End SELECT. diff --git a/kvx/SelectOpproof.v b/kvx/SelectOpproof.v index e6cce0fa..cffa2583 100644 --- a/kvx/SelectOpproof.v +++ b/kvx/SelectOpproof.v @@ -1951,6 +1951,50 @@ Proof. } inv EVAL. constructor. + - cbn in *. + intro EVAL. + inv EVAL. discriminate. + inv H0. discriminate. + inv H2. 2: discriminate. + inv Heval. + intro EVAL. + destruct v1; try discriminate. + destruct v0; try discriminate. + unfold Int.eq in EVAL. + change (Int.unsigned Int.zero) with 0 in EVAL. + unfold zeq in EVAL. + destruct (Z.eq_dec (Int.unsigned i0) 0) as [EQ | NEQ]. + { discriminate. } + exists (Vint (Int.modu i i0)). split. + { + apply FPDivision32.fp_modu32_correct; auto. + pose proof (Int.unsigned_range i0). + lia. + } + inv EVAL. + constructor. + - cbn in *. + intro EVAL. + inv EVAL. discriminate. + inv H0. discriminate. + inv H2. 2: discriminate. + inv Heval. + intro EVAL. + destruct v1; try discriminate. + destruct v0; try discriminate. + unfold Int64.eq in EVAL. + change (Int64.unsigned Int64.zero) with 0 in EVAL. + unfold zeq in EVAL. + destruct (Z.eq_dec (Int64.unsigned i0) 0) as [EQ | NEQ]. + { discriminate. } + exists (Vlong (Int64.modu i i0)). split. + { + apply FPDivision64.fp_modu64_correct; auto. + pose proof (Int64.unsigned_range i0). + lia. + } + inv EVAL. + constructor. Qed. End CMCONSTR. -- cgit