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authorSon Ho2023-08-04 20:03:42 +0200
committerSon Ho2023-08-04 20:03:42 +0200
commitd7b3155ad5583d5a92e85c69cc89a21a60e51df7 (patch)
treeb52c14e92e46c0ce8fcbb53a3f994b381d11d38d /tests
parentc656688ff4895904b4bb5e2f89037f1e75c9fa00 (diff)
Generate the Array example in Lean
Diffstat (limited to 'tests')
-rw-r--r--tests/lean/Array/Funs.lean287
-rw-r--r--tests/lean/Array/Types.lean8
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