From 1181aecddbcb3232c21b191fbde59c2e9596846a Mon Sep 17 00:00:00 2001 From: Son Ho Date: Thu, 7 Sep 2023 16:02:43 +0200 Subject: Fix some issues --- backends/coq/Primitives.v | 14 ++++++++++++++ 1 file changed, 14 insertions(+) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index 71a2d9c3..8d6c9c8d 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -394,6 +394,20 @@ Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + (*** Range *) Record range (T : Type) := mk_range { start: T; -- cgit v1.2.3 From 0f0e4be7dc746e2676db33f850bbeddf239eaec8 Mon Sep 17 00:00:00 2001 From: Son Ho Date: Fri, 13 Oct 2023 00:40:37 +0200 Subject: Add sup --- backends/coq/Primitives.v | 3 +++ 1 file changed, 3 insertions(+) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index 8d6c9c8d..b92eb967 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -433,6 +433,9 @@ Qed. (* TODO: finish the definitions *) Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. +(* For initialization *) +Axiom array_repeat : forall {T : Type} (n : usize) (x : T), array T n. + Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). -- cgit v1.2.3 From 1c55079dac0c51e45f7d77c67bfdbdb8c52ed192 Mon Sep 17 00:00:00 2001 From: Son Ho Date: Fri, 27 Oct 2023 13:26:08 +0200 Subject: Update Primitives.v --- backends/coq/Primitives.v | 402 +++++++++++++++++++++++++++++++++++++++------- 1 file changed, 342 insertions(+), 60 deletions(-) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index b92eb967..8e0e973d 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -63,13 +63,15 @@ Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. (*** Misc *) - Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition mem_replace_fwd (a : Type) (x : a) (y : a) : a := x . -Definition mem_replace_back (a : Type) (x : a) (y : a) : a := y . +Definition core_mem_replace (a : Type) (x : a) (y : a) : a := x . +Definition core_mem_replace_back (a : Type) (x : a) (y : a) : a := y . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. (*** Scalars *) @@ -408,12 +410,75 @@ Definition core_i64_max := i64_max %i64. Definition core_i128_max := i64_max %i128. Axiom core_isize_max : isize. (** TODO *) -(*** Range *) -Record range (T : Type) := mk_range { - start: T; - end_: T; +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +Arguments core_ops_index_Index_index {_ _}. + +(* Trait declaration: [core::ops::index::IndexMut] *) +Record core_ops_index_IndexMut (Self Idx : Type) := mk_core_ops_index_IndexMut { + core_ops_index_IndexMut_indexInst : core_ops_index_Index Self Idx; + core_ops_index_IndexMut_index_mut : Self -> Idx -> result core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output); + core_ops_index_IndexMut_index_mut_back : Self -> Idx -> core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output) -> result Self; +}. +Arguments mk_core_ops_index_IndexMut {_ _}. +Arguments core_ops_index_IndexMut_indexInst {_ _}. +Arguments core_ops_index_IndexMut_index_mut {_ _}. +Arguments core_ops_index_IndexMut_index_mut_back {_ _}. + +(* Trait declaration [core::ops::deref::Deref] *) +Record core_ops_deref_Deref (Self : Type) := mk_core_ops_deref_Deref { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; }. -Arguments mk_range {_}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +Arguments core_ops_deref_Deref_deref {_}. + +(* Trait declaration [core::ops::deref::DerefMut] *) +Record core_ops_deref_DerefMut (Self : Type) := mk_core_ops_deref_DerefMut { + core_ops_deref_DerefMut_derefInst : core_ops_deref_Deref Self; + core_ops_deref_DerefMut_deref_mut : Self -> result core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target); + core_ops_deref_DerefMut_deref_mut_back : Self -> core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target) -> result Self; +}. +Arguments mk_core_ops_deref_DerefMut {_}. +Arguments core_ops_deref_DerefMut_derefInst {_}. +Arguments core_ops_deref_DerefMut_deref_mut {_}. +Arguments core_ops_deref_DerefMut_deref_mut_back {_}. + +Record core_ops_range_Range (T : Type) := mk_core_ops_range_Range { + core_ops_range_Range_start : T; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +Arguments core_ops_range_Range_end_ {_}. + +(*** [alloc] *) + +Definition alloc_boxed_Box_deref (T : Type) (x : T) : result T := Return x. +Definition alloc_boxed_Box_deref_mut (T : Type) (x : T) : result T := Return x. +Definition alloc_boxed_Box_deref_mut_back (T : Type) (_ : T) (x : T) : result T := Return x. + +(* Trait instance *) +Definition alloc_boxed_Box_coreOpsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +Definition alloc_boxed_Box_coreOpsDerefMutInst (Self : Type) : core_ops_deref_DerefMut Self := {| + core_ops_deref_DerefMut_derefInst := alloc_boxed_Box_coreOpsDerefInst Self; + core_ops_deref_DerefMut_deref_mut := alloc_boxed_Box_deref_mut Self; + core_ops_deref_DerefMut_deref_mut_back := alloc_boxed_Box_deref_mut_back Self; +|}. + (*** Arrays *) Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. @@ -436,51 +501,47 @@ Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. (* For initialization *) Axiom array_repeat : forall {T : Type} (n : usize) (x : T), array T n. -Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +Axiom array_index_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. +Axiom array_update_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. Axiom slice_len : forall (T : Type) (s : slice T), usize. -Axiom slice_index_shared : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_fwd : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_back : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +Axiom slice_index_usize : forall (T : Type) (x : slice T) (i : usize), result T. +Axiom slice_update_usize : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). (*** Subslices *) -Axiom array_to_slice_shared : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_fwd : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_back : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +Axiom array_to_slice : forall (T : Type) (n : usize) (x : array T n), result (slice T). +Axiom array_from_slice : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). + +Axiom array_subslice: forall (T : Type) (n : usize) (x : array T n) (r : core_ops_range_Range usize), result (slice T). +Axiom array_update_subslice: forall (T : Type) (n : usize) (x : array T n) (r : core_ops_range_Range usize) (ns : slice T), result (array T n). -Axiom array_subslice_shared: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_fwd: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_back: forall (T : Type) (n : usize) (x : array T n) (r : range usize) (ns : slice T), result (array T n). -Axiom slice_subslice_shared: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_fwd: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_back: forall (T : Type) (x : slice T) (r : range usize) (ns : slice T), result (slice T). +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). (*** Vectors *) -Definition vec T := { l: list T | Z.of_nat (length l) <= usize_max }. +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. -Definition vec_to_list {T: Type} (v: vec T) : list T := proj1_sig v. +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. -Definition vec_length {T: Type} (v: vec T) : Z := Z.of_nat (length (vec_to_list v)). +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). -Definition vec_new (T: Type) : vec T := (exist _ [] le_0_usize_max). +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). -Lemma vec_len_in_usize {T} (v: vec T) : usize_min <= vec_length v <= usize_max. +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. Proof. - unfold vec_length, usize_min. + unfold alloc_vec_Vec_length, usize_min. split. - lia. - apply (proj2_sig v). Qed. -Definition vec_len (T: Type) (v: vec T) : usize := - exist _ (vec_length v) (vec_len_in_usize v). +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). Fixpoint list_update {A} (l: list A) (n: nat) (a: A) : list A := @@ -491,50 +552,271 @@ Fixpoint list_update {A} (l: list A) (n: nat) (a: A) | S m => x :: (list_update t m a) end end. -Definition vec_bind {A B} (v: vec A) (f: list A -> result (list B)) : result (vec B) := - l <- f (vec_to_list v) ; +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) | right _ => Fail_ Failure end. (* The **forward** function shouldn't be used *) -Definition vec_push_fwd (T: Type) (v: vec T) (x: T) : unit := tt. +Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. -Definition vec_push_back (T: Type) (v: vec T) (x: T) : result (vec T) := - vec_bind v (fun l => Return (l ++ [x])). +Definition alloc_vec_Vec_push (T: Type) (v: alloc_vec_Vec T) (x: T) : result (alloc_vec_Vec T) := + alloc_vec_Vec_bind v (fun l => Return (l ++ [x])). (* The **forward** function shouldn't be used *) -Definition vec_insert_fwd (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i +Definition alloc_vec_Vec_insert (T: Type) (v: alloc_vec_Vec T) (i: usize) (x: T) : result (alloc_vec_Vec T) := + alloc_vec_Vec_bind v (fun l => if to_Z i Return n - | None => Fail_ Failure - end. - -Definition vec_index_back (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i Return n - | None => Fail_ Failure +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + core_slice_index_SliceIndex_sealedInst : core_slice_index_private_slice_index_Sealed Self; + core_slice_index_SliceIndex_Output : Type; + core_slice_index_SliceIndex_get : Self -> T -> result (option core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_get_mut : Self -> T -> result (option core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_get_mut_back : Self -> T -> option core_slice_index_SliceIndex_Output -> result T; + core_slice_index_SliceIndex_get_unchecked : Self -> const_raw_ptr T -> result (const_raw_ptr core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_get_unchecked_mut : Self -> mut_raw_ptr T -> result (mut_raw_ptr core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_index : Self -> T -> result core_slice_index_SliceIndex_Output; + core_slice_index_SliceIndex_index_mut : Self -> T -> result core_slice_index_SliceIndex_Output; + core_slice_index_SliceIndex_index_mut_back : Self -> T -> core_slice_index_SliceIndex_Output -> result T; +}. +Arguments mk_core_slice_index_SliceIndex {_ _}. +Arguments core_slice_index_SliceIndex_sealedInst {_ _}. +Arguments core_slice_index_SliceIndex_Output {_ _}. +Arguments core_slice_index_SliceIndex_get {_ _}. +Arguments core_slice_index_SliceIndex_get_mut {_ _}. +Arguments core_slice_index_SliceIndex_get_mut_back {_ _}. +Arguments core_slice_index_SliceIndex_get_unchecked {_ _}. +Arguments core_slice_index_SliceIndex_get_unchecked_mut {_ _}. +Arguments core_slice_index_SliceIndex_index {_ _}. +Arguments core_slice_index_SliceIndex_index_mut {_ _}. +Arguments core_slice_index_SliceIndex_index_mut_back {_ _}. + +(* [core::slice::index::[T]::index]: forward function *) +Definition core_slice_index_Slice_index + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x end. -Definition vec_index_mut_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => - if to_Z i slice T -> result (option (slice T)). + +(* [core::slice::index::Range::get_mut]: backward function 0 *) +Axiom core_slice_index_Range_get_mut_back : + forall (T : Type), core_ops_range_Range usize -> slice T -> option (slice T) -> result (slice T). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_Range_get_unchecked + (T : Type) : + core_ops_range_Range usize -> const_raw_ptr (slice T) -> result (const_raw_ptr (slice T)) := + (* Don't know what the model should be - for now we always fail to make + sure code which uses it fails *) + fun _ _ => Fail_ Failure. + +(* [core::slice::index::Range::get_unchecked_mut]: forward function *) +Definition core_slice_index_Range_get_unchecked_mut + (T : Type) : + core_ops_range_Range usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr (slice T)) := + (* Don't know what the model should be - for now we always fail to make + sure code which uses it fails *) + fun _ _ => Fail_ Failure. + +(* [core::slice::index::Range::index]: forward function *) +Axiom core_slice_index_Range_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [core::slice::index::Range::index_mut]: forward function *) +Axiom core_slice_index_Range_index_mut : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [core::slice::index::Range::index_mut]: backward function 0 *) +Axiom core_slice_index_Range_index_mut_back : + forall (T : Type), core_ops_range_Range usize -> slice T -> slice T -> result (slice T). + +(* [core::slice::index::[T]::index_mut]: forward function *) +Axiom core_slice_index_Slice_index_mut : + forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)), + slice T -> Idx -> result inst.(core_slice_index_SliceIndex_Output). + +(* [core::slice::index::[T]::index_mut]: backward function 0 *) +Axiom core_slice_index_Slice_index_mut_back : + forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)), + slice T -> Idx -> inst.(core_slice_index_SliceIndex_Output) -> result (slice T). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [core::array::[T; N]::index_mut]: forward function *) +Axiom core_array_Array_index_mut : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output). + +(* [core::array::[T; N]::index_mut]: backward function 0 *) +Axiom core_array_Array_index_mut_back : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) + (a : array T N) (i : Idx) (x : inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output)), result (array T N). + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_slice_index_Slice_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_Range_coresliceindexSliceIndexInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + core_slice_index_SliceIndex_Output := slice T; + core_slice_index_SliceIndex_get := core_slice_index_Range_get T; + core_slice_index_SliceIndex_get_mut := core_slice_index_Range_get_mut T; + core_slice_index_SliceIndex_get_mut_back := core_slice_index_Range_get_mut_back T; + core_slice_index_SliceIndex_get_unchecked := core_slice_index_Range_get_unchecked T; + core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_Range_get_unchecked_mut T; + core_slice_index_SliceIndex_index := core_slice_index_Range_index T; + core_slice_index_SliceIndex_index_mut := core_slice_index_Range_index_mut T; + core_slice_index_SliceIndex_index_mut_back := core_slice_index_Range_index_mut_back T; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_slice_index_Slice_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_IndexMut (slice T) Idx := {| + core_ops_index_IndexMut_indexInst := core_slice_index_Slice_coreopsindexIndexInst T Idx inst; + core_ops_index_IndexMut_index_mut := core_slice_index_Slice_index_mut T Idx inst; + core_ops_index_IndexMut_index_mut_back := core_slice_index_Slice_index_mut_back T Idx inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_array_Array_coreopsindexIndexInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_array_Array_coreopsindexIndexMutInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + core_ops_index_IndexMut (array T N) Idx := {| + core_ops_index_IndexMut_indexInst := core_array_Array_coreopsindexIndexInst T Idx N inst.(core_ops_index_IndexMut_indexInst); + core_ops_index_IndexMut_index_mut := core_array_Array_index_mut T Idx N inst; + core_ops_index_IndexMut_index_mut_back := core_array_Array_index_mut_back T Idx N inst; +|}. + +(* [core::slice::index::usize::get]: forward function *) +Axiom core_slice_index_usize_get : forall (T : Type), usize -> slice T -> result (option T). + +(* [core::slice::index::usize::get_mut]: forward function *) +Axiom core_slice_index_usize_get_mut : forall (T : Type), usize -> slice T -> result (option T). + +(* [core::slice::index::usize::get_mut]: backward function 0 *) +Axiom core_slice_index_usize_get_mut_back : + forall (T : Type), usize -> slice T -> option T -> result (slice T). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +Axiom core_slice_index_usize_index : forall (T : Type), usize -> slice T -> result T. + +(* [core::slice::index::usize::index_mut]: forward function *) +Axiom core_slice_index_usize_index_mut : forall (T : Type), usize -> slice T -> result T. + +(* [core::slice::index::usize::index_mut]: backward function 0 *) +Axiom core_slice_index_usize_index_mut_back : + forall (T : Type), usize -> slice T -> T -> result (slice T). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_usize_coresliceindexSliceIndexInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + core_slice_index_SliceIndex_Output := T; + core_slice_index_SliceIndex_get := core_slice_index_usize_get T; + core_slice_index_SliceIndex_get_mut := core_slice_index_usize_get_mut T; + core_slice_index_SliceIndex_get_mut_back := core_slice_index_usize_get_mut_back T; + core_slice_index_SliceIndex_get_unchecked := core_slice_index_usize_get_unchecked T; + core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_usize_get_unchecked_mut T; + core_slice_index_SliceIndex_index := core_slice_index_usize_index T; + core_slice_index_SliceIndex_index_mut := core_slice_index_usize_index_mut T; + core_slice_index_SliceIndex_index_mut_back := core_slice_index_usize_index_mut_back T; +|}. + +(* [alloc::vec::Vec::index]: forward function *) +Axiom alloc_vec_Vec_index : forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (Self : alloc_vec_Vec T) (i : Idx), result inst.(core_slice_index_SliceIndex_Output). + +(* [alloc::vec::Vec::index_mut]: forward function *) +Axiom alloc_vec_Vec_index_mut : forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (Self : alloc_vec_Vec T) (i : Idx), result inst.(core_slice_index_SliceIndex_Output). + +(* [alloc::vec::Vec::index_mut]: backward function 0 *) +Axiom alloc_vec_Vec_index_mut_back : + forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (Self : alloc_vec_Vec T) (i : Idx) (x : inst.(core_slice_index_SliceIndex_Output)), result (alloc_vec_Vec T). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_IndexMut (alloc_vec_Vec T) Idx := {| + core_ops_index_IndexMut_indexInst := alloc_vec_Vec_coreopsindexIndexInst T Idx inst; + core_ops_index_IndexMut_index_mut := alloc_vec_Vec_index_mut T Idx inst; + core_ops_index_IndexMut_index_mut_back := alloc_vec_Vec_index_mut_back T Idx inst; +|}. + +(*** Theorems *) + +Axiom alloc_vec_Vec_index_mut_back_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x = + alloc_vec_Vec_update_usize v i x. End Primitives. -- cgit v1.2.3 From 49117ba254679f98938223711810191c3f7d788f Mon Sep 17 00:00:00 2001 From: Son Ho Date: Fri, 27 Oct 2023 13:34:03 +0200 Subject: Regenerate the Coq test files --- backends/coq/Primitives.v | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index 8e0e973d..85e38f01 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -499,7 +499,7 @@ Qed. Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. (* For initialization *) -Axiom array_repeat : forall {T : Type} (n : usize) (x : T), array T n. +Axiom array_repeat : forall (T : Type) (n : usize) (x : T), array T n. Axiom array_index_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. Axiom array_update_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). -- cgit v1.2.3 From c3b6ad3685995b3b96dc88789e8512560d3257b3 Mon Sep 17 00:00:00 2001 From: Son Ho Date: Tue, 21 Nov 2023 10:23:14 +0100 Subject: Update the standard libraries --- backends/coq/Primitives.v | 56 +++++++++++++++++++++++++++-------------------- 1 file changed, 32 insertions(+), 24 deletions(-) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index 85e38f01..846a5e4b 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -467,14 +467,14 @@ Definition alloc_boxed_Box_deref_mut (T : Type) (x : T) : result T := Return x. Definition alloc_boxed_Box_deref_mut_back (T : Type) (_ : T) (x : T) : result T := Return x. (* Trait instance *) -Definition alloc_boxed_Box_coreOpsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| core_ops_deref_Deref_target := Self; core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; |}. (* Trait instance *) -Definition alloc_boxed_Box_coreOpsDerefMutInst (Self : Type) : core_ops_deref_DerefMut Self := {| - core_ops_deref_DerefMut_derefInst := alloc_boxed_Box_coreOpsDerefInst Self; +Definition alloc_boxed_Box_coreopsDerefMutInst (Self : Type) : core_ops_deref_DerefMut Self := {| + core_ops_deref_DerefMut_derefInst := alloc_boxed_Box_coreopsDerefInst Self; core_ops_deref_DerefMut_deref_mut := alloc_boxed_Box_deref_mut Self; core_ops_deref_DerefMut_deref_mut_back := alloc_boxed_Box_deref_mut_back Self; |}. @@ -576,7 +576,7 @@ Definition alloc_vec_Vec_insert (T: Type) (v: alloc_vec_Vec T) (i: usize) (x: T) else Fail_ Failure). (* Helper *) -Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result T. +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. (* Helper *) Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). @@ -683,22 +683,14 @@ Axiom core_array_Array_index_mut_back : forall (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) (a : array T N) (i : Idx) (x : inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output)), result (array T N). -(* Trait implementation: [core::slice::index::[T]] *) -Definition core_slice_index_Slice_coreopsindexIndexInst (T Idx : Type) - (inst : core_slice_index_SliceIndex Idx (slice T)) : - core_ops_index_Index (slice T) Idx := {| - core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); - core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; -|}. - (* Trait implementation: [core::slice::index::private_slice_index::Range] *) -Definition core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. (* Trait implementation: [core::slice::index::Range] *) -Definition core_slice_index_Range_coresliceindexSliceIndexInst (T : Type) : +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| - core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; core_slice_index_SliceIndex_Output := slice T; core_slice_index_SliceIndex_get := core_slice_index_Range_get T; core_slice_index_SliceIndex_get_mut := core_slice_index_Range_get_mut T; @@ -711,16 +703,24 @@ Definition core_slice_index_Range_coresliceindexSliceIndexInst (T : Type) : |}. (* Trait implementation: [core::slice::index::[T]] *) -Definition core_slice_index_Slice_coreopsindexIndexMutInst (T Idx : Type) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) : core_ops_index_IndexMut (slice T) Idx := {| - core_ops_index_IndexMut_indexInst := core_slice_index_Slice_coreopsindexIndexInst T Idx inst; + core_ops_index_IndexMut_indexInst := core_ops_index_IndexSliceTIInst T Idx inst; core_ops_index_IndexMut_index_mut := core_slice_index_Slice_index_mut T Idx inst; core_ops_index_IndexMut_index_mut_back := core_slice_index_Slice_index_mut_back T Idx inst; |}. (* Trait implementation: [core::array::[T; N]] *) -Definition core_array_Array_coreopsindexIndexInst (T Idx : Type) (N : usize) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) : core_ops_index_Index (array T N) Idx := {| core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); @@ -728,10 +728,10 @@ Definition core_array_Array_coreopsindexIndexInst (T Idx : Type) (N : usize) |}. (* Trait implementation: [core::array::[T; N]] *) -Definition core_array_Array_coreopsindexIndexMutInst (T Idx : Type) (N : usize) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) : core_ops_index_IndexMut (array T N) Idx := {| - core_ops_index_IndexMut_indexInst := core_array_Array_coreopsindexIndexInst T Idx N inst.(core_ops_index_IndexMut_indexInst); + core_ops_index_IndexMut_indexInst := core_ops_index_IndexArrayInst T Idx N inst.(core_ops_index_IndexMut_indexInst); core_ops_index_IndexMut_index_mut := core_array_Array_index_mut T Idx N inst; core_ops_index_IndexMut_index_mut_back := core_array_Array_index_mut_back T Idx N inst; |}. @@ -765,13 +765,13 @@ Axiom core_slice_index_usize_index_mut_back : forall (T : Type), usize -> slice T -> T -> result (slice T). (* Trait implementation: [core::slice::index::private_slice_index::usize] *) -Definition core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst +Definition core_slice_index_private_slice_index_SealedUsizeInst : core_slice_index_private_slice_index_Sealed usize := tt. (* Trait implementation: [core::slice::index::usize] *) -Definition core_slice_index_usize_coresliceindexSliceIndexInst (T : Type) : +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : core_slice_index_SliceIndex usize (slice T) := {| - core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; core_slice_index_SliceIndex_Output := T; core_slice_index_SliceIndex_get := core_slice_index_usize_get T; core_slice_index_SliceIndex_get_mut := core_slice_index_usize_get_mut T; @@ -815,8 +815,16 @@ Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) (*** Theorems *) +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +Axiom alloc_vec_Vec_index_mut_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + Axiom alloc_vec_Vec_index_mut_back_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), - alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x = + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x = alloc_vec_Vec_update_usize v i x. End Primitives. -- cgit v1.2.3 From 1dbdd9e316e690e5c63de2e1923afad520c76e4d Mon Sep 17 00:00:00 2001 From: Son Ho Date: Tue, 21 Nov 2023 10:27:08 +0100 Subject: Update more names --- backends/coq/Primitives.v | 32 ++++++++++++++++---------------- 1 file changed, 16 insertions(+), 16 deletions(-) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index 846a5e4b..83f860b6 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -620,18 +620,18 @@ Definition core_slice_index_Slice_index end. (* [core::slice::index::Range:::get]: forward function *) -Axiom core_slice_index_Range_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). (* [core::slice::index::Range::get_mut]: forward function *) -Axiom core_slice_index_Range_get_mut : +Axiom core_slice_index_RangeUsize_get_mut : forall (T : Type), core_ops_range_Range usize -> slice T -> result (option (slice T)). (* [core::slice::index::Range::get_mut]: backward function 0 *) -Axiom core_slice_index_Range_get_mut_back : +Axiom core_slice_index_RangeUsize_get_mut_back : forall (T : Type), core_ops_range_Range usize -> slice T -> option (slice T) -> result (slice T). (* [core::slice::index::Range::get_unchecked]: forward function *) -Definition core_slice_index_Range_get_unchecked +Definition core_slice_index_RangeUsize_get_unchecked (T : Type) : core_ops_range_Range usize -> const_raw_ptr (slice T) -> result (const_raw_ptr (slice T)) := (* Don't know what the model should be - for now we always fail to make @@ -639,7 +639,7 @@ Definition core_slice_index_Range_get_unchecked fun _ _ => Fail_ Failure. (* [core::slice::index::Range::get_unchecked_mut]: forward function *) -Definition core_slice_index_Range_get_unchecked_mut +Definition core_slice_index_RangeUsize_get_unchecked_mut (T : Type) : core_ops_range_Range usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr (slice T)) := (* Don't know what the model should be - for now we always fail to make @@ -647,15 +647,15 @@ Definition core_slice_index_Range_get_unchecked_mut fun _ _ => Fail_ Failure. (* [core::slice::index::Range::index]: forward function *) -Axiom core_slice_index_Range_index : +Axiom core_slice_index_RangeUsize_index : forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). (* [core::slice::index::Range::index_mut]: forward function *) -Axiom core_slice_index_Range_index_mut : +Axiom core_slice_index_RangeUsize_index_mut : forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). (* [core::slice::index::Range::index_mut]: backward function 0 *) -Axiom core_slice_index_Range_index_mut_back : +Axiom core_slice_index_RangeUsize_index_mut_back : forall (T : Type), core_ops_range_Range usize -> slice T -> slice T -> result (slice T). (* [core::slice::index::[T]::index_mut]: forward function *) @@ -692,14 +692,14 @@ Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; core_slice_index_SliceIndex_Output := slice T; - core_slice_index_SliceIndex_get := core_slice_index_Range_get T; - core_slice_index_SliceIndex_get_mut := core_slice_index_Range_get_mut T; - core_slice_index_SliceIndex_get_mut_back := core_slice_index_Range_get_mut_back T; - core_slice_index_SliceIndex_get_unchecked := core_slice_index_Range_get_unchecked T; - core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_Range_get_unchecked_mut T; - core_slice_index_SliceIndex_index := core_slice_index_Range_index T; - core_slice_index_SliceIndex_index_mut := core_slice_index_Range_index_mut T; - core_slice_index_SliceIndex_index_mut_back := core_slice_index_Range_index_mut_back T; + core_slice_index_SliceIndex_get := core_slice_index_RangeUsize_get T; + core_slice_index_SliceIndex_get_mut := core_slice_index_RangeUsize_get_mut T; + core_slice_index_SliceIndex_get_mut_back := core_slice_index_RangeUsize_get_mut_back T; + core_slice_index_SliceIndex_get_unchecked := core_slice_index_RangeUsize_get_unchecked T; + core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_RangeUsize_get_unchecked_mut T; + core_slice_index_SliceIndex_index := core_slice_index_RangeUsize_index T; + core_slice_index_SliceIndex_index_mut := core_slice_index_RangeUsize_index_mut T; + core_slice_index_SliceIndex_index_mut_back := core_slice_index_RangeUsize_index_mut_back T; |}. (* Trait implementation: [core::slice::index::[T]] *) -- cgit v1.2.3 From dc4b11689131bdb41a43e5aca76538556a3a120c Mon Sep 17 00:00:00 2001 From: Son Ho Date: Wed, 29 Nov 2023 15:45:27 +0100 Subject: Add support for more bitwise operations and update the extraction --- backends/coq/Primitives.v | 76 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 76 insertions(+) (limited to 'backends/coq/Primitives.v') diff --git a/backends/coq/Primitives.v b/backends/coq/Primitives.v index 83f860b6..99ffe070 100644 --- a/backends/coq/Primitives.v +++ b/backends/coq/Primitives.v @@ -255,6 +255,12 @@ Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + (** Cast an integer from a [src_ty] to a [tgt_ty] *) (* TODO: check the semantics of casts in Rust *) Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := @@ -372,6 +378,76 @@ Definition u32_mul := @scalar_mul U32. Definition u64_mul := @scalar_mul U64. Definition u128_mul := @scalar_mul U128. +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + (** Small utility *) Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). -- cgit v1.2.3