diff options
| -rw-r--r-- | backends/coq/Primitives.v | 56 | ||||
| -rw-r--r-- | backends/fstar/Primitives.fst | 56 | ||||
| -rw-r--r-- | backends/lean/Base/Primitives/Alloc.lean | 6 | ||||
| -rw-r--r-- | backends/lean/Base/Primitives/ArraySlice.lean | 39 | ||||
| -rw-r--r-- | backends/lean/Base/Primitives/Vec.lean | 6 |
5 files changed, 85 insertions, 78 deletions
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. diff --git a/backends/fstar/Primitives.fst b/backends/fstar/Primitives.fst index 3297803c..19c4e7a3 100644 --- a/backends/fstar/Primitives.fst +++ b/backends/fstar/Primitives.fst @@ -351,14 +351,14 @@ let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x // Trait instance -let alloc_boxed_Box_coreOpsDerefInst (self : Type0) : core_ops_deref_Deref self = { +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { target = self; deref = alloc_boxed_Box_deref self; } // Trait instance -let alloc_boxed_Box_coreOpsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { - derefInst = alloc_boxed_Box_coreOpsDerefInst self; +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; deref_mut_back = alloc_boxed_Box_deref_mut_back self; } @@ -559,22 +559,14 @@ let core_array_Array_index_mut_back (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = admit () // TODO -// Trait implementation: [core::slice::index::[T]] -let core_slice_index_Slice_coreopsindexIndexInst (t idx : Type0) - (inst : core_slice_index_SliceIndex idx (slice t)) : - core_ops_index_Index (slice t) idx = { - output = inst.output; - index = core_slice_index_Slice_index t idx inst; -} - // Trait implementation: [core::slice::index::private_slice_index::Range] -let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst +let core_slice_index_private_slice_index_SealedRangeUsizeInst : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () // Trait implementation: [core::slice::index::Range] -let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { - sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst; + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; output = slice t; get = core_slice_index_Range_get t; get_mut = core_slice_index_Range_get_mut t; @@ -587,16 +579,24 @@ let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) : } // Trait implementation: [core::slice::index::[T]] -let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0) +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : core_ops_index_IndexMut (slice t) idx = { - indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst; + indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] -let core_array_Array_coreopsindexIndexInst (t idx : Type0) (n : usize) +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) : core_ops_index_Index (array t n) idx = { output = inst.output; @@ -604,10 +604,10 @@ let core_array_Array_coreopsindexIndexInst (t idx : Type0) (n : usize) } // Trait implementation: [core::array::[T; N]] -let core_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize) +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) : core_ops_index_IndexMut (array t n) idx = { - indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst; + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; index_mut_back = core_array_Array_index_mut_back t idx n inst; } @@ -651,13 +651,13 @@ let core_slice_index_usize_index_mut_back admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] -let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst +let core_slice_index_private_slice_index_SealedUsizeInst : core_slice_index_private_slice_index_Sealed usize = () // Trait implementation: [core::slice::index::usize] -let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) : +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : core_slice_index_SliceIndex usize (slice t) = { - sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst; + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; @@ -706,24 +706,24 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( - alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == alloc_vec_Vec_index_usize v i) - [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( - alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == alloc_vec_Vec_index_usize v i) - [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : Lemma ( - 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) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)] + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] = admit() diff --git a/backends/lean/Base/Primitives/Alloc.lean b/backends/lean/Base/Primitives/Alloc.lean index 34590499..6c89c6bb 100644 --- a/backends/lean/Base/Primitives/Alloc.lean +++ b/backends/lean/Base/Primitives/Alloc.lean @@ -16,16 +16,16 @@ def deref_mut (T : Type) (x : T) : Result T := ret x def deref_mut_back (T : Type) (_ : T) (x : T) : Result T := ret x /-- Trait instance -/ -def coreOpsDerefInst (Self : Type) : +def coreopsDerefInst (Self : Type) : core.ops.deref.Deref Self := { Target := Self deref := deref Self } /-- Trait instance -/ -def coreOpsDerefMutInst (Self : Type) : +def coreopsDerefMutInst (Self : Type) : core.ops.deref.DerefMut Self := { - derefInst := coreOpsDerefInst Self + derefInst := coreopsDerefInst Self deref_mut := deref_mut Self deref_mut_back := deref_mut_back Self } diff --git a/backends/lean/Base/Primitives/ArraySlice.lean b/backends/lean/Base/Primitives/ArraySlice.lean index cfc9a6b2..8bb9a855 100644 --- a/backends/lean/Base/Primitives/ArraySlice.lean +++ b/backends/lean/Base/Primitives/ArraySlice.lean @@ -439,23 +439,14 @@ def core.array.Array.index_mut_back (a : Array T N) (i : I) (x : inst.indexInst.Output) : Result (Array T N) := sorry -- TODO -/- Trait implementation: [core::slice::index::[T]] -/ -def core.slice.index.Slice.coreopsindexIndexInst (T I : Type) - (inst : core.slice.index.SliceIndex I (Slice T)) : - core.ops.index.Index (Slice T) I := { - Output := inst.Output - index := core.slice.index.Slice.index T I inst -} - /- Trait implementation: [core::slice::index::private_slice_index::Range] -/ -def core.slice.index.private_slice_index.Range.coresliceindexprivate_slice_indexSealedInst +def core.slice.index.private_slice_index.SealedRangeUsizeInst : core.slice.index.private_slice_index.Sealed (Range Usize) := {} /- Trait implementation: [core::slice::index::Range] -/ -def core.slice.index.Range.coresliceindexSliceIndexInst (T : Type) : +def core.slice.index.SliceIndexRangeUsizeSliceTInst (T : Type) : core.slice.index.SliceIndex (Range Usize) (Slice T) := { - sealedInst := - core.slice.index.private_slice_index.Range.coresliceindexprivate_slice_indexSealedInst + sealedInst := core.slice.index.private_slice_index.SealedRangeUsizeInst Output := Slice T get := core.slice.index.Range.get T get_mut := core.slice.index.Range.get_mut T @@ -468,16 +459,24 @@ def core.slice.index.Range.coresliceindexSliceIndexInst (T : Type) : } /- Trait implementation: [core::slice::index::[T]] -/ -def core.slice.index.Slice.coreopsindexIndexMutInst (T I : Type) +def core.ops.index.IndexSliceTIInst (T I : Type) + (inst : core.slice.index.SliceIndex I (Slice T)) : + core.ops.index.Index (Slice T) I := { + Output := inst.Output + index := core.slice.index.Slice.index T I inst +} + +/- Trait implementation: [core::slice::index::[T]] -/ +def core.ops.index.IndexMutSliceTIInst (T I : Type) (inst : core.slice.index.SliceIndex I (Slice T)) : core.ops.index.IndexMut (Slice T) I := { - indexInst := core.slice.index.Slice.coreopsindexIndexInst T I inst + indexInst := core.ops.index.IndexSliceTIInst T I inst index_mut := core.slice.index.Slice.index_mut T I inst index_mut_back := core.slice.index.Slice.index_mut_back T I inst } /- Trait implementation: [core::array::[T; N]] -/ -def core.array.Array.coreopsindexIndexInst (T I : Type) (N : Usize) +def core.ops.index.IndexArrayIInst (T I : Type) (N : Usize) (inst : core.ops.index.Index (Slice T) I) : core.ops.index.Index (Array T N) I := { Output := inst.Output @@ -485,10 +484,10 @@ def core.array.Array.coreopsindexIndexInst (T I : Type) (N : Usize) } /- Trait implementation: [core::array::[T; N]] -/ -def core.array.Array.coreopsindexIndexMutInst (T I : Type) (N : Usize) +def core.ops.index.IndexMutArrayIInst (T I : Type) (N : Usize) (inst : core.ops.index.IndexMut (Slice T) I) : core.ops.index.IndexMut (Array T N) I := { - indexInst := core.array.Array.coreopsindexIndexInst T I N inst.indexInst + indexInst := core.ops.index.IndexArrayIInst T I N inst.indexInst index_mut := core.array.Array.index_mut T I N inst index_mut_back := core.array.Array.index_mut_back T I N inst } @@ -532,13 +531,13 @@ def core.slice.index.Usize.index_mut_back sorry -- TODO /- Trait implementation: [core::slice::index::private_slice_index::usize] -/ -def core.slice.index.private_slice_index.usize.coresliceindexprivate_slice_indexSealedInst +def core.slice.index.private_slice_index.SealedUsizeInst : core.slice.index.private_slice_index.Sealed Usize := {} /- Trait implementation: [core::slice::index::usize] -/ -def core.slice.index.usize.coresliceindexSliceIndexInst (T : Type) : +def core.slice.index.SliceIndexUsizeSliceTInst (T : Type) : core.slice.index.SliceIndex Usize (Slice T) := { - sealedInst := core.slice.index.private_slice_index.usize.coresliceindexprivate_slice_indexSealedInst + sealedInst := core.slice.index.private_slice_index.SealedUsizeInst Output := T get := core.slice.index.Usize.get T get_mut := core.slice.index.Usize.get_mut T diff --git a/backends/lean/Base/Primitives/Vec.lean b/backends/lean/Base/Primitives/Vec.lean index bbed6082..e600a151 100644 --- a/backends/lean/Base/Primitives/Vec.lean +++ b/backends/lean/Base/Primitives/Vec.lean @@ -153,19 +153,19 @@ def Vec.coreopsindexIndexMutInst (T I : Type) @[simp] theorem Vec.index_slice_index {α : Type} (v : Vec α) (i : Usize) : - Vec.index α Usize (core.slice.index.usize.coresliceindexSliceIndexInst α) v i = + Vec.index α Usize (core.slice.index.SliceIndexUsizeSliceTInst α) v i = Vec.index_usize v i := sorry @[simp] theorem Vec.index_mut_slice_index {α : Type} (v : Vec α) (i : Usize) : - Vec.index_mut α Usize (core.slice.index.usize.coresliceindexSliceIndexInst α) v i = + Vec.index_mut α Usize (core.slice.index.SliceIndexUsizeSliceTInst α) v i = Vec.index_usize v i := sorry @[simp] theorem Vec.index_mut_back_slice_index {α : Type} (v : Vec α) (i : Usize) (x : α) : - Vec.index_mut_back α Usize (core.slice.index.usize.coresliceindexSliceIndexInst α) v i x = + Vec.index_mut_back α Usize (core.slice.index.SliceIndexUsizeSliceTInst α) v i x = Vec.update_usize v i x := sorry |