diff options
author | Son Ho | 2023-11-29 14:26:04 +0100 |
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committer | Son Ho | 2023-11-29 14:26:04 +0100 |
commit | 0273fee7f6b74da1d3b66c3c6a2158c012d04197 (patch) | |
tree | 5f6db32814f6f0b3a98f2de1db39225ff2c7645d /tests/lean/Array.lean | |
parent | f4e2c2bb09d9d7b54afc0692b7f690f5ec2eb029 (diff) | |
parent | 90e42e0e1c1889aabfa66283fb15b43a5852a02a (diff) |
Merge branch 'main' into afromher_shifts
Diffstat (limited to '')
-rw-r--r-- | tests/lean/Array.lean | 510 |
1 files changed, 509 insertions, 1 deletions
diff --git a/tests/lean/Array.lean b/tests/lean/Array.lean index 277b63d9..25dad3cf 100644 --- a/tests/lean/Array.lean +++ b/tests/lean/Array.lean @@ -1 +1,509 @@ -import Array.Funs +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [array] +import Base +open Primitives + +namespace array + +/- [array::AB] + Source: 'src/array.rs', lines 3:0-3:11 -/ +inductive AB := +| A : AB +| B : AB + +/- [array::incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 8:0-8:24 -/ +def incr (x : U32) : Result U32 := + x + 1#u32 + +/- [array::array_to_shared_slice_]: forward function + Source: 'src/array.rs', lines 16:0-16:53 -/ +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 + Source: 'src/array.rs', lines 21:0-21:58 -/ +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 + Source: 'src/array.rs', lines 21:0-21:58 -/ +def array_to_mut_slice__back + (T : Type) (s : Array T 32#usize) (ret : Slice T) : + Result (Array T 32#usize) + := + Array.from_slice T 32#usize s ret + +/- [array::array_len]: forward function + Source: 'src/array.rs', lines 25:0-25:40 -/ +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 + Source: 'src/array.rs', lines 29:0-29:48 -/ +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 + Source: 'src/array.rs', lines 33:0-33:44 -/ +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 + Source: 'src/array.rs', lines 37:0-37:57 -/ +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 + Source: 'src/array.rs', lines 44:0-44:53 -/ +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 + Source: 'src/array.rs', lines 48:0-48:45 -/ +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 + Source: 'src/array.rs', lines 52:0-52:62 -/ +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 + Source: 'src/array.rs', lines 52:0-52:62 -/ +def index_mut_array_back + (T : Type) (s : Array T 32#usize) (i : Usize) (ret : T) : + Result (Array T 32#usize) + := + Array.update_usize T 32#usize s i ret + +/- [array::index_slice]: forward function + Source: 'src/array.rs', lines 56:0-56:46 -/ +def index_slice (T : Type) (s : Slice T) (i : Usize) : Result T := + Slice.index_usize T s i + +/- [array::index_mut_slice]: forward function + Source: 'src/array.rs', lines 60:0-60:58 -/ +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 + Source: 'src/array.rs', lines 60:0-60:58 -/ +def index_mut_slice_back + (T : Type) (s : Slice T) (i : Usize) (ret : T) : Result (Slice T) := + Slice.update_usize T s i ret + +/- [array::slice_subslice_shared_]: forward function + Source: 'src/array.rs', lines 64:0-64:70 -/ +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.SliceIndexRangeUsizeSliceTInst U32) x + { start := y, end_ := z } + +/- [array::slice_subslice_mut_]: forward function + Source: 'src/array.rs', lines 68:0-68:75 -/ +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.SliceIndexRangeUsizeSliceTInst U32) x + { start := y, end_ := z } + +/- [array::slice_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 68:0-68:75 -/ +def slice_subslice_mut__back + (x : Slice U32) (y : Usize) (z : Usize) (ret : Slice U32) : + Result (Slice U32) + := + core.slice.index.Slice.index_mut_back U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32) x + { start := y, end_ := z } ret + +/- [array::array_to_slice_shared_]: forward function + Source: 'src/array.rs', lines 72:0-72:54 -/ +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 + Source: 'src/array.rs', lines 76:0-76:59 -/ +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 + Source: 'src/array.rs', lines 76:0-76:59 -/ +def array_to_slice_mut__back + (x : Array U32 32#usize) (ret : Slice U32) : Result (Array U32 32#usize) := + Array.from_slice U32 32#usize x ret + +/- [array::array_subslice_shared_]: forward function + Source: 'src/array.rs', lines 80:0-80:74 -/ +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.ops.index.IndexSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x + { start := y, end_ := z } + +/- [array::array_subslice_mut_]: forward function + Source: 'src/array.rs', lines 84:0-84:79 -/ +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.ops.index.IndexMutSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x + { start := y, end_ := z } + +/- [array::array_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 84:0-84:79 -/ +def array_subslice_mut__back + (x : Array U32 32#usize) (y : Usize) (z : Usize) (ret : Slice U32) : + Result (Array U32 32#usize) + := + core.array.Array.index_mut_back U32 (core.ops.range.Range Usize) 32#usize + (core.ops.index.IndexMutSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x + { start := y, end_ := z } ret + +/- [array::index_slice_0]: forward function + Source: 'src/array.rs', lines 88:0-88:38 -/ +def index_slice_0 (T : Type) (s : Slice T) : Result T := + Slice.index_usize T s 0#usize + +/- [array::index_array_0]: forward function + Source: 'src/array.rs', lines 92:0-92:42 -/ +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 + Source: 'src/array.rs', lines 103:0-103:71 -/ +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 + Source: 'src/array.rs', lines 114:0-114:70 -/ +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 + Source: 'src/array.rs', lines 118:0-118:43 -/ +def array_local_deep_copy (x : Array U32 32#usize) : Result Unit := + Result.ret () + +/- [array::take_array]: forward function + Source: 'src/array.rs', lines 122:0-122:30 -/ +def take_array (a : Array U32 2#usize) : Result Unit := + Result.ret () + +/- [array::take_array_borrow]: forward function + Source: 'src/array.rs', lines 123:0-123:38 -/ +def take_array_borrow (a : Array U32 2#usize) : Result Unit := + Result.ret () + +/- [array::take_slice]: forward function + Source: 'src/array.rs', lines 124:0-124:28 -/ +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 ()) + Source: 'src/array.rs', lines 125:0-125:36 -/ +def take_mut_slice (s : Slice U32) : Result (Slice U32) := + Result.ret s + +/- [array::const_array]: forward function + Source: 'src/array.rs', lines 127:0-127:32 -/ +def const_array : Result (Array U32 2#usize) := + Result.ret (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + +/- [array::const_slice]: forward function + Source: 'src/array.rs', lines 131:0-131:20 -/ +def const_slice : Result Unit := + do + let _ ← + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + Result.ret () + +/- [array::take_all]: forward function + Source: 'src/array.rs', lines 141:0-141:17 -/ +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 + Source: 'src/array.rs', lines 155:0-155:38 -/ +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 + Source: 'src/array.rs', lines 158:0-158:46 -/ +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 + Source: 'src/array.rs', lines 162:0-162:42 -/ +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 + Source: 'src/array.rs', lines 166:0-166:50 -/ +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 + Source: 'src/array.rs', lines 166:0-166:50 -/ +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 + Source: 'src/array.rs', lines 170:0-170:25 -/ +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 + Source: 'src/array.rs', lines 184:0-184:36 -/ +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 ()) + Source: 'src/array.rs', lines 187:0-187:48 -/ +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 ()) + Source: 'src/array.rs', lines 190:0-190:38 -/ +def update_mut_slice (x : Slice U32) : Result (Slice U32) := + Slice.update_usize U32 x 0#usize 1#u32 + +/- [array::update_all]: forward function + Source: 'src/array.rs', lines 194:0-194:19 -/ +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 + Source: 'src/array.rs', lines 205:0-205:18 -/ +def range_all : Result Unit := + do + let s ← + core.array.Array.index_mut U32 (core.ops.range.Range Usize) 4#usize + (core.ops.index.IndexMutSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst 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.ops.index.IndexMutSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst 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 + Source: 'src/array.rs', lines 214:0-214:46 -/ +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 + Source: 'src/array.rs', lines 219:0-219:54 -/ +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 + Source: 'src/array.rs', lines 219:0-219:54 -/ +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 + Source: 'src/array.rs', lines 227:0-227:31 -/ +def take_array_t (a : Array AB 2#usize) : Result Unit := + Result.ret () + +/- [array::non_copyable_array]: forward function + Source: 'src/array.rs', lines 229:0-229:27 -/ +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 + Source: 'src/array.rs', lines 242:0-250:1 -/ +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 + Source: 'src/array.rs', lines 242:0-242:28 -/ +def sum (s : Slice U32) : Result U32 := + sum_loop s 0#u32 0#usize + +/- [array::sum2]: loop 0: forward function + Source: 'src/array.rs', lines 252:0-261:1 -/ +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 + Source: 'src/array.rs', lines 252:0-252:41 -/ +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 .panic + else sum2_loop s s2 0#u32 0#usize + +/- [array::f0]: forward function + Source: 'src/array.rs', lines 263:0-263:11 -/ +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 + Source: 'src/array.rs', lines 268:0-268:11 -/ +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 + Source: 'src/array.rs', lines 273:0-273:17 -/ +def f2 (i : U32) : Result Unit := + Result.ret () + +/- [array::f4]: forward function + Source: 'src/array.rs', lines 282:0-282:54 -/ +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.ops.index.IndexSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x + { start := y, end_ := z } + +/- [array::f3]: forward function + Source: 'src/array.rs', lines 275:0-275:18 -/ +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] + Source: 'src/array.rs', lines 286:0-286:19 -/ +def sz_body : Result Usize := Result.ret 32#usize +def sz_c : Usize := eval_global sz_body (by simp) + +/- [array::f5]: forward function + Source: 'src/array.rs', lines 289:0-289:31 -/ +def f5 (x : Array U32 32#usize) : Result U32 := + Array.index_usize U32 32#usize x 0#usize + +/- [array::ite]: forward function + Source: 'src/array.rs', lines 294:0-294:12 -/ +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 |