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-rw-r--r--tests/lean/Array.lean436
1 files changed, 435 insertions, 1 deletions
diff --git a/tests/lean/Array.lean b/tests/lean/Array.lean
index 277b63d9..20f02e97 100644
--- a/tests/lean/Array.lean
+++ b/tests/lean/Array.lean
@@ -1 +1,435 @@
-import Array.Funs
+-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
+-- [array]
+import Base
+open Primitives
+
+namespace array
+
+/- [array::AB] -/
+inductive AB :=
+| A : AB
+| B : AB
+
+/- [array::incr]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ()) -/
+def incr (x : U32) : Result U32 :=
+ x + 1#u32
+
+/- [array::array_to_shared_slice_]: forward function -/
+def array_to_shared_slice_
+ (T : Type) (s : Array T 32#usize) : Result (Slice T) :=
+ Array.to_slice T 32#usize s
+
+/- [array::array_to_mut_slice_]: forward function -/
+def array_to_mut_slice_ (T : Type) (s : Array T 32#usize) : Result (Slice T) :=
+ Array.to_slice T 32#usize s
+
+/- [array::array_to_mut_slice_]: backward function 0 -/
+def array_to_mut_slice__back
+ (T : Type) (s : Array T 32#usize) (ret0 : Slice T) :
+ Result (Array T 32#usize)
+ :=
+ Array.from_slice T 32#usize s ret0
+
+/- [array::array_len]: forward function -/
+def array_len (T : Type) (s : Array T 32#usize) : Result Usize :=
+ do
+ let s0 ← Array.to_slice T 32#usize 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 32#usize) : Result Usize :=
+ do
+ let s0 ← Array.to_slice T 32#usize 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 32#usize) (i : Usize) : Result T :=
+ Array.index_usize T 32#usize s i
+
+/- [array::index_array_u32]: forward function -/
+def index_array_u32 (s : Array U32 32#usize) (i : Usize) : Result U32 :=
+ Array.index_usize U32 32#usize s i
+
+/- [array::index_array_copy]: forward function -/
+def index_array_copy (x : Array U32 32#usize) : Result U32 :=
+ Array.index_usize U32 32#usize x 0#usize
+
+/- [array::index_mut_array]: forward function -/
+def index_mut_array (T : Type) (s : Array T 32#usize) (i : Usize) : Result T :=
+ Array.index_usize T 32#usize s i
+
+/- [array::index_mut_array]: backward function 0 -/
+def index_mut_array_back
+ (T : Type) (s : Array T 32#usize) (i : Usize) (ret0 : T) :
+ Result (Array T 32#usize)
+ :=
+ Array.update_usize T 32#usize s i ret0
+
+/- [array::index_slice]: forward function -/
+def index_slice (T : Type) (s : Slice T) (i : Usize) : Result T :=
+ Slice.index_usize T s i
+
+/- [array::index_mut_slice]: forward function -/
+def index_mut_slice (T : Type) (s : Slice T) (i : Usize) : Result T :=
+ Slice.index_usize 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.update_usize T s i ret0
+
+/- [array::slice_subslice_shared_]: forward function -/
+def slice_subslice_shared_
+ (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) :=
+ core.slice.index.Slice.index U32 (core.ops.range.Range Usize)
+ (core.slice.index.Range.coresliceindexSliceIndexInst U32) x
+ { start := y, end_ := z }
+
+/- [array::slice_subslice_mut_]: forward function -/
+def slice_subslice_mut_
+ (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) :=
+ core.slice.index.Slice.index_mut U32 (core.ops.range.Range Usize)
+ (core.slice.index.Range.coresliceindexSliceIndexInst U32) x
+ { start := y, end_ := 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)
+ :=
+ core.slice.index.Slice.index_mut_back U32 (core.ops.range.Range Usize)
+ (core.slice.index.Range.coresliceindexSliceIndexInst U32) x
+ { start := y, end_ := z } ret0
+
+/- [array::array_to_slice_shared_]: forward function -/
+def array_to_slice_shared_ (x : Array U32 32#usize) : Result (Slice U32) :=
+ Array.to_slice U32 32#usize x
+
+/- [array::array_to_slice_mut_]: forward function -/
+def array_to_slice_mut_ (x : Array U32 32#usize) : Result (Slice U32) :=
+ Array.to_slice U32 32#usize x
+
+/- [array::array_to_slice_mut_]: backward function 0 -/
+def array_to_slice_mut__back
+ (x : Array U32 32#usize) (ret0 : Slice U32) : Result (Array U32 32#usize) :=
+ Array.from_slice U32 32#usize x ret0
+
+/- [array::array_subslice_shared_]: forward function -/
+def array_subslice_shared_
+ (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) :=
+ core.array.Array.index U32 (core.ops.range.Range Usize) 32#usize
+ (core.slice.index.Slice.coreopsindexIndexInst U32 (core.ops.range.Range
+ Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x
+ { start := y, end_ := z }
+
+/- [array::array_subslice_mut_]: forward function -/
+def array_subslice_mut_
+ (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) :=
+ core.array.Array.index_mut U32 (core.ops.range.Range Usize) 32#usize
+ (core.slice.index.Slice.coreopsindexIndexMutInst U32 (core.ops.range.Range
+ Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x
+ { start := y, end_ := z }
+
+/- [array::array_subslice_mut_]: backward function 0 -/
+def array_subslice_mut__back
+ (x : Array U32 32#usize) (y : Usize) (z : Usize) (ret0 : Slice U32) :
+ Result (Array U32 32#usize)
+ :=
+ core.array.Array.index_mut_back U32 (core.ops.range.Range Usize) 32#usize
+ (core.slice.index.Slice.coreopsindexIndexMutInst U32 (core.ops.range.Range
+ Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x
+ { start := y, end_ := z } ret0
+
+/- [array::index_slice_0]: forward function -/
+def index_slice_0 (T : Type) (s : Slice T) : Result T :=
+ Slice.index_usize T s 0#usize
+
+/- [array::index_array_0]: forward function -/
+def index_array_0 (T : Type) (s : Array T 32#usize) : Result T :=
+ Array.index_usize T 32#usize s 0#usize
+
+/- [array::index_index_array]: forward function -/
+def index_index_array
+ (s : Array (Array U32 32#usize) 32#usize) (i : Usize) (j : Usize) :
+ Result U32
+ :=
+ do
+ let a ← Array.index_usize (Array U32 32#usize) 32#usize s i
+ Array.index_usize U32 32#usize a j
+
+/- [array::update_update_array]: forward function -/
+def update_update_array
+ (s : Array (Array U32 32#usize) 32#usize) (i : Usize) (j : Usize) :
+ Result Unit
+ :=
+ do
+ let a ← Array.index_usize (Array U32 32#usize) 32#usize s i
+ let a0 ← Array.update_usize U32 32#usize a j 0#u32
+ let _ ← Array.update_usize (Array U32 32#usize) 32#usize s i a0
+ Result.ret ()
+
+/- [array::array_local_deep_copy]: forward function -/
+def array_local_deep_copy (x : Array U32 32#usize) : Result Unit :=
+ Result.ret ()
+
+/- [array::take_array]: forward function -/
+def take_array (a : Array U32 2#usize) : Result Unit :=
+ Result.ret ()
+
+/- [array::take_array_borrow]: forward function -/
+def take_array_borrow (a : Array U32 2#usize) : Result Unit :=
+ Result.ret ()
+
+/- [array::take_slice]: forward function -/
+def take_slice (s : Slice U32) : Result Unit :=
+ Result.ret ()
+
+/- [array::take_mut_slice]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ()) -/
+def take_mut_slice (s : Slice U32) : Result (Slice U32) :=
+ Result.ret s
+
+/- [array::take_all]: forward function -/
+def take_all : Result Unit :=
+ do
+ let _ ← take_array (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let _ ← take_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let s ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let _ ← take_slice s
+ let s0 ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let s1 ← take_mut_slice s0
+ let _ ←
+ Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1
+ Result.ret ()
+
+/- [array::index_array]: forward function -/
+def index_array (x : Array U32 2#usize) : Result U32 :=
+ Array.index_usize U32 2#usize x 0#usize
+
+/- [array::index_array_borrow]: forward function -/
+def index_array_borrow (x : Array U32 2#usize) : Result U32 :=
+ Array.index_usize U32 2#usize x 0#usize
+
+/- [array::index_slice_u32_0]: forward function -/
+def index_slice_u32_0 (x : Slice U32) : Result U32 :=
+ Slice.index_usize U32 x 0#usize
+
+/- [array::index_mut_slice_u32_0]: forward function -/
+def index_mut_slice_u32_0 (x : Slice U32) : Result U32 :=
+ Slice.index_usize U32 x 0#usize
+
+/- [array::index_mut_slice_u32_0]: backward function 0 -/
+def index_mut_slice_u32_0_back (x : Slice U32) : Result (Slice U32) :=
+ do
+ let _ ← Slice.index_usize U32 x 0#usize
+ Result.ret x
+
+/- [array::index_all]: forward function -/
+def index_all : Result U32 :=
+ do
+ let i ← index_array (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let i0 ← index_array (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let i1 ← i + i0
+ let i2 ← index_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let i3 ← i1 + i2
+ let s ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let i4 ← index_slice_u32_0 s
+ let i5 ← i3 + i4
+ let s0 ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let i6 ← index_mut_slice_u32_0 s0
+ let i7 ← i5 + i6
+ let s1 ← index_mut_slice_u32_0_back s0
+ let _ ←
+ Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1
+ Result.ret i7
+
+/- [array::update_array]: forward function -/
+def update_array (x : Array U32 2#usize) : Result Unit :=
+ do
+ let _ ← Array.update_usize U32 2#usize x 0#usize 1#u32
+ Result.ret ()
+
+/- [array::update_array_mut_borrow]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ()) -/
+def update_array_mut_borrow
+ (x : Array U32 2#usize) : Result (Array U32 2#usize) :=
+ Array.update_usize U32 2#usize x 0#usize 1#u32
+
+/- [array::update_mut_slice]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ()) -/
+def update_mut_slice (x : Slice U32) : Result (Slice U32) :=
+ Slice.update_usize U32 x 0#usize 1#u32
+
+/- [array::update_all]: forward function -/
+def update_all : Result Unit :=
+ do
+ let _ ← update_array (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let x ← update_array_mut_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let s ← Array.to_slice U32 2#usize x
+ let s0 ← update_mut_slice s
+ let _ ← Array.from_slice U32 2#usize x s0
+ Result.ret ()
+
+/- [array::range_all]: forward function -/
+def range_all : Result Unit :=
+ do
+ let s ←
+ core.array.Array.index_mut U32 (core.ops.range.Range Usize) 4#usize
+ (core.slice.index.Slice.coreopsindexIndexMutInst U32
+ (core.ops.range.Range Usize)
+ (core.slice.index.Range.coresliceindexSliceIndexInst U32))
+ (Array.make U32 4#usize [ 0#u32, 0#u32, 0#u32, 0#u32 ])
+ { start := 1#usize, end_ := 3#usize }
+ let s0 ← update_mut_slice s
+ let _ ←
+ core.array.Array.index_mut_back U32 (core.ops.range.Range Usize) 4#usize
+ (core.slice.index.Slice.coreopsindexIndexMutInst U32
+ (core.ops.range.Range Usize)
+ (core.slice.index.Range.coresliceindexSliceIndexInst U32))
+ (Array.make U32 4#usize [ 0#u32, 0#u32, 0#u32, 0#u32 ])
+ { start := 1#usize, end_ := 3#usize } s0
+ Result.ret ()
+
+/- [array::deref_array_borrow]: forward function -/
+def deref_array_borrow (x : Array U32 2#usize) : Result U32 :=
+ Array.index_usize U32 2#usize x 0#usize
+
+/- [array::deref_array_mut_borrow]: forward function -/
+def deref_array_mut_borrow (x : Array U32 2#usize) : Result U32 :=
+ Array.index_usize U32 2#usize x 0#usize
+
+/- [array::deref_array_mut_borrow]: backward function 0 -/
+def deref_array_mut_borrow_back
+ (x : Array U32 2#usize) : Result (Array U32 2#usize) :=
+ do
+ let _ ← Array.index_usize U32 2#usize x 0#usize
+ Result.ret x
+
+/- [array::take_array_t]: forward function -/
+def take_array_t (a : Array AB 2#usize) : Result Unit :=
+ Result.ret ()
+
+/- [array::non_copyable_array]: forward function -/
+def non_copyable_array : Result Unit :=
+ do
+ let _ ← take_array_t (Array.make AB 2#usize [ AB.A, AB.B ])
+ Result.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_usize U32 s i
+ let sum1 ← sum0 + i1
+ let i2 ← i + 1#usize
+ sum_loop s sum1 i2
+ else Result.ret sum0
+
+/- [array::sum]: forward function -/
+def sum (s : Slice U32) : Result U32 :=
+ sum_loop s 0#u32 0#usize
+
+/- [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_usize U32 s i
+ let i2 ← Slice.index_usize U32 s2 i
+ let i3 ← i1 + i2
+ let sum1 ← sum0 + i3
+ let i4 ← i + 1#usize
+ 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 0#u32 0#usize
+
+/- [array::f0]: forward function -/
+def f0 : Result Unit :=
+ do
+ let s ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ])
+ let s0 ← Slice.update_usize U32 s 0#usize 1#u32
+ let _ ←
+ Array.from_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) s0
+ Result.ret ()
+
+/- [array::f1]: forward function -/
+def f1 : Result Unit :=
+ do
+ let _ ←
+ Array.update_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ])
+ 0#usize 1#u32
+ Result.ret ()
+
+/- [array::f2]: forward function -/
+def f2 (i : U32) : Result Unit :=
+ Result.ret ()
+
+/- [array::f4]: forward function -/
+def f4 (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) :=
+ core.array.Array.index U32 (core.ops.range.Range Usize) 32#usize
+ (core.slice.index.Slice.coreopsindexIndexInst U32 (core.ops.range.Range
+ Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x
+ { start := y, end_ := z }
+
+/- [array::f3]: forward function -/
+def f3 : Result U32 :=
+ do
+ let i ←
+ Array.index_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ])
+ 0#usize
+ let _ ← f2 i
+ let b := Array.repeat U32 32#usize 0#u32
+ let s ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ])
+ let s0 ← f4 b 16#usize 18#usize
+ sum2 s s0
+
+/- [array::SZ] -/
+def sz_body : Result Usize := Result.ret 32#usize
+def sz_c : Usize := eval_global sz_body (by simp)
+
+/- [array::f5]: forward function -/
+def f5 (x : Array U32 32#usize) : Result U32 :=
+ Array.index_usize U32 32#usize x 0#usize
+
+/- [array::ite]: forward function -/
+def ite : Result Unit :=
+ do
+ let s ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let s0 ←
+ Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ])
+ let s1 ← index_mut_slice_u32_0_back s0
+ let _ ←
+ Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1
+ let s2 ← index_mut_slice_u32_0_back s
+ let _ ←
+ Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s2
+ Result.ret ()
+
+end array
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-25 15:12:19 +0000