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author | Son Ho | 2023-08-04 20:03:42 +0200 |
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committer | Son Ho | 2023-08-04 20:03:42 +0200 |
commit | d7b3155ad5583d5a92e85c69cc89a21a60e51df7 (patch) | |
tree | b52c14e92e46c0ce8fcbb53a3f994b381d11d38d | |
parent | c656688ff4895904b4bb5e2f89037f1e75c9fa00 (diff) |
Generate the Array example in Lean
-rw-r--r-- | tests/lean/Array/Funs.lean | 287 | ||||
-rw-r--r-- | tests/lean/Array/Types.lean | 8 |
2 files changed, 295 insertions, 0 deletions
diff --git a/tests/lean/Array/Funs.lean b/tests/lean/Array/Funs.lean new file mode 100644 index 00000000..b1365143 --- /dev/null +++ b/tests/lean/Array/Funs.lean @@ -0,0 +1,287 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [array]: function definitions +import Base +import Array.Types +open Primitives + +namespace array + +/- [array::array_to_shared_slice_]: forward function -/ +def array_to_shared_slice_ + (T : Type) (s : Array T (Usize.ofInt 32)) : Result (Slice T) := + Array.to_slice T (Usize.ofInt 32) s + +/- [array::array_to_mut_slice_]: forward function -/ +def array_to_mut_slice_ + (T : Type) (s : Array T (Usize.ofInt 32)) : Result (Slice T) := + Array.to_mut_slice T (Usize.ofInt 32) s + +/- [array::array_to_mut_slice_]: backward function 0 -/ +def array_to_mut_slice__back + (T : Type) (s : Array T (Usize.ofInt 32)) (ret0 : Slice T) : + Result (Array T (Usize.ofInt 32)) + := + Array.to_mut_slice_back T (Usize.ofInt 32) s ret0 + +/- [array::array_len]: forward function -/ +def array_len (T : Type) (s : Array T (Usize.ofInt 32)) : Result Usize := + do + let s0 ← Array.to_slice T (Usize.ofInt 32) s + let i := Slice.len T s0 + Result.ret i + +/- [array::shared_array_len]: forward function -/ +def shared_array_len + (T : Type) (s : Array T (Usize.ofInt 32)) : Result Usize := + do + let s0 ← Array.to_slice T (Usize.ofInt 32) s + let i := Slice.len T s0 + Result.ret i + +/- [array::shared_slice_len]: forward function -/ +def shared_slice_len (T : Type) (s : Slice T) : Result Usize := + let i := Slice.len T s + Result.ret i + +/- [array::index_array_shared]: forward function -/ +def index_array_shared + (T : Type) (s : Array T (Usize.ofInt 32)) (i : Usize) : Result T := + Array.index_shared T (Usize.ofInt 32) s i + +/- [array::index_array_u32]: forward function -/ +def index_array_u32 + (s : Array U32 (Usize.ofInt 32)) (i : Usize) : Result U32 := + Array.index_shared U32 (Usize.ofInt 32) s i + +/- [array::index_array_generic]: forward function -/ +def index_array_generic + (N : Usize) (s : Array U32 N) (i : Usize) : Result U32 := + Array.index_shared U32 N s i + +/- [array::index_array_generic_call]: forward function -/ +def index_array_generic_call + (N : Usize) (s : Array U32 N) (i : Usize) : Result U32 := + index_array_generic N s i + +/- [array::index_array_copy]: forward function -/ +def index_array_copy (x : Array U32 (Usize.ofInt 32)) : Result U32 := + Array.index_shared U32 (Usize.ofInt 32) x (Usize.ofInt 0) + +/- [array::index_mut_array]: forward function -/ +def index_mut_array + (T : Type) (s : Array T (Usize.ofInt 32)) (i : Usize) : Result T := + Array.index_mut T (Usize.ofInt 32) s i + +/- [array::index_mut_array]: backward function 0 -/ +def index_mut_array_back + (T : Type) (s : Array T (Usize.ofInt 32)) (i : Usize) (ret0 : T) : + Result (Array T (Usize.ofInt 32)) + := + Array.index_mut_back T (Usize.ofInt 32) s i ret0 + +/- [array::index_slice]: forward function -/ +def index_slice (T : Type) (s : Slice T) (i : Usize) : Result T := + Slice.index_shared T s i + +/- [array::index_mut_slice]: forward function -/ +def index_mut_slice (T : Type) (s : Slice T) (i : Usize) : Result T := + Slice.index_mut T s i + +/- [array::index_mut_slice]: backward function 0 -/ +def index_mut_slice_back + (T : Type) (s : Slice T) (i : Usize) (ret0 : T) : Result (Slice T) := + Slice.index_mut_back T s i ret0 + +/- [array::slice_subslice_shared_]: forward function -/ +def slice_subslice_shared_ + (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) := + Slice.subslice_shared U32 x (Range.mk y z) + +/- [array::slice_subslice_mut_]: forward function -/ +def slice_subslice_mut_ + (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) := + Slice.subslice_mut U32 x (Range.mk y z) + +/- [array::slice_subslice_mut_]: backward function 0 -/ +def slice_subslice_mut__back + (x : Slice U32) (y : Usize) (z : Usize) (ret0 : Slice U32) : + Result (Slice U32) + := + Slice.subslice_mut_back U32 x (Range.mk y z) ret0 + +/- [array::array_to_slice_shared]: forward function -/ +def array_to_slice_shared + (x : Array U32 (Usize.ofInt 32)) : Result (Slice U32) := + Array.to_slice U32 (Usize.ofInt 32) x + +/- [array::array_to_slice_mut]: forward function -/ +def array_to_slice_mut (x : Array U32 (Usize.ofInt 32)) : Result (Slice U32) := + Array.to_mut_slice U32 (Usize.ofInt 32) x + +/- [array::array_to_slice_mut]: backward function 0 -/ +def array_to_slice_mut_back + (x : Array U32 (Usize.ofInt 32)) (ret0 : Slice U32) : + Result (Array U32 (Usize.ofInt 32)) + := + Array.to_mut_slice_back U32 (Usize.ofInt 32) x ret0 + +/- [array::array_subslice_shared_]: forward function -/ +def array_subslice_shared_ + (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) : + Result (Slice U32) + := + Array.subslice_shared U32 (Usize.ofInt 32) x (Range.mk y z) + +/- [array::array_subslice_mut_]: forward function -/ +def array_subslice_mut_ + (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) : + Result (Slice U32) + := + Array.subslice_mut U32 (Usize.ofInt 32) x (Range.mk y z) + +/- [array::array_subslice_mut_]: backward function 0 -/ +def array_subslice_mut__back + (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) (ret0 : Slice U32) : + Result (Array U32 (Usize.ofInt 32)) + := + Array.subslice_mut_back U32 (Usize.ofInt 32) x (Range.mk y z) ret0 + +/- [array::index_slice_0]: forward function -/ +def index_slice_0 (T : Type) (s : Slice T) : Result T := + Slice.index_shared T s (Usize.ofInt 0) + +/- [array::index_array_0]: forward function -/ +def index_array_0 (T : Type) (s : Array T (Usize.ofInt 32)) : Result T := + Array.index_shared T (Usize.ofInt 32) s (Usize.ofInt 0) + +/- [array::index_index_array]: forward function -/ +def index_index_array + (s : Array (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32)) (i : Usize) + (j : Usize) : + Result U32 + := + do + let a ← + Array.index_shared (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i + Array.index_shared U32 (Usize.ofInt 32) a j + +/- [array::update_update_array]: forward function -/ +def update_update_array + (s : Array (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32)) (i : Usize) + (j : Usize) : + Result Unit + := + do + let a ← Array.index_mut (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i + let a0 ← Array.index_mut_back U32 (Usize.ofInt 32) a j (U32.ofInt 0) + let _ ← + Array.index_mut_back (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i a0 + Result.ret () + +/- [array::array_local_deep_copy]: forward function -/ +def array_local_deep_copy (x : Array U32 (Usize.ofInt 32)) : Result Unit := + Result.ret () + +/- [array::f0]: forward function -/ +def f0 : Result Unit := + do + let s ← + Array.to_mut_slice U32 (Usize.ofInt 2) + (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) + let s0 ← Slice.index_mut_back U32 s (Usize.ofInt 0) (U32.ofInt 1) + let _ ← + Array.to_mut_slice_back U32 (Usize.ofInt 2) + (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) s0 + Result.ret () + +/- Unit test for [array::f0] -/ +#assert (f0 == .ret ()) + +/- [array::f1]: forward function -/ +def f1 : Result Unit := + do + let _ ← + Array.index_mut_back U32 (Usize.ofInt 2) + (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) + (Usize.ofInt 0) (U32.ofInt 1) + Result.ret () + +/- Unit test for [array::f1] -/ +#assert (f1 == .ret ()) + +/- [array::sum]: loop 0: forward function -/ +divergent def sum_loop (s : Slice U32) (sum0 : U32) (i : Usize) : Result U32 := + let i0 := Slice.len U32 s + if i < i0 + then + do + let i1 ← Slice.index_shared U32 s i + let sum1 ← sum0 + i1 + let i2 ← i + (Usize.ofInt 1) + sum_loop s sum1 i2 + else Result.ret sum0 + +/- [array::sum]: forward function -/ +def sum (s : Slice U32) : Result U32 := + sum_loop s (U32.ofInt 0) (Usize.ofInt 0) + +/- [array::sum2]: loop 0: forward function -/ +divergent def sum2_loop + (s : Slice U32) (s2 : Slice U32) (sum0 : U32) (i : Usize) : Result U32 := + let i0 := Slice.len U32 s + if i < i0 + then + do + let i1 ← Slice.index_shared U32 s i + let i2 ← Slice.index_shared U32 s2 i + let i3 ← i1 + i2 + let sum1 ← sum0 + i3 + let i4 ← i + (Usize.ofInt 1) + sum2_loop s s2 sum1 i4 + else Result.ret sum0 + +/- [array::sum2]: forward function -/ +def sum2 (s : Slice U32) (s2 : Slice U32) : Result U32 := + let i := Slice.len U32 s + let i0 := Slice.len U32 s2 + if not (i = i0) + then Result.fail Error.panic + else sum2_loop s s2 (U32.ofInt 0) (Usize.ofInt 0) + +/- [array::f2]: forward function -/ +def f2 (i : U32) : Result Unit := + Result.ret () + +/- [array::f4]: forward function -/ +def f4 + (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) : + Result (Slice U32) + := + Array.subslice_shared U32 (Usize.ofInt 32) x (Range.mk y z) + +/- [array::f3]: forward function -/ +def f3 : Result U32 := + do + let i ← + Array.index_shared U32 (Usize.ofInt 2) + (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) + (Usize.ofInt 0) + let _ ← f2 i + let s ← + Array.to_slice U32 (Usize.ofInt 2) + (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) + let s0 ← + f4 + (Array.make U32 (Usize.ofInt 32) [ + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), + (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0) + ]) (Usize.ofInt 16) (Usize.ofInt 18) + sum2 s s0 + +end array diff --git a/tests/lean/Array/Types.lean b/tests/lean/Array/Types.lean new file mode 100644 index 00000000..407ce826 --- /dev/null +++ b/tests/lean/Array/Types.lean @@ -0,0 +1,8 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [array]: type definitions +import Base +open Primitives + +namespace array + +end array |