diff options
Diffstat (limited to 'tests/lean/misc-loops/Loops')
-rw-r--r-- | tests/lean/misc-loops/Loops/Clauses/Clauses.lean | 209 | ||||
-rw-r--r-- | tests/lean/misc-loops/Loops/Clauses/Template.lean | 210 | ||||
-rw-r--r-- | tests/lean/misc-loops/Loops/Funs.lean | 740 | ||||
-rw-r--r-- | tests/lean/misc-loops/Loops/Types.lean | 9 |
4 files changed, 1168 insertions, 0 deletions
diff --git a/tests/lean/misc-loops/Loops/Clauses/Clauses.lean b/tests/lean/misc-loops/Loops/Clauses/Clauses.lean new file mode 100644 index 00000000..5ddb65ca --- /dev/null +++ b/tests/lean/misc-loops/Loops/Clauses/Clauses.lean @@ -0,0 +1,209 @@ +-- [loops]: decreases clauses +import Base.Primitives +import Loops.Types + +/- [loops::sum]: termination measure -/ +@[simp] +def sum_loop_terminates (max : UInt32) (i : UInt32) (s : UInt32) := (max, i, s) + +syntax "sum_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| sum_loop_decreases $max $i $s) =>`(tactic| sorry) + +/- [loops::sum_with_mut_borrows]: termination measure -/ +@[simp] +def sum_with_mut_borrows_loop_terminates (max : UInt32) (mi : UInt32) + (ms : UInt32) := + (max, mi, ms) + +syntax "sum_with_mut_borrows_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| sum_with_mut_borrows_loop_decreases $max $mi $ms) =>`(tactic| sorry) + +/- [loops::sum_with_shared_borrows]: termination measure -/ +@[simp] +def sum_with_shared_borrows_loop_terminates (max : UInt32) (i : UInt32) + (s : UInt32) := + (max, i, s) + +syntax "sum_with_shared_borrows_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| sum_with_shared_borrows_loop_decreases $max $i $s) =>`(tactic| sorry) + +/- [loops::clear]: termination measure -/ +@[simp] def clear_loop_terminates (v : vec UInt32) (i : USize) := (v, i) + +syntax "clear_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| clear_loop_decreases $v $i) =>`(tactic| sorry) + +/- [loops::list_mem]: termination measure -/ +@[simp] +def list_mem_loop_terminates (x : UInt32) (ls : list_t UInt32) := (x, ls) + +syntax "list_mem_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_mem_loop_decreases $x $ls) =>`(tactic| sorry) + +/- [loops::list_nth_mut_loop]: termination measure -/ +@[simp] +def list_nth_mut_loop_loop_terminates (T : Type) (ls : list_t T) (i : UInt32) + := + (ls, i) + +syntax "list_nth_mut_loop_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_mut_loop_loop_decreases $ls $i) =>`(tactic| sorry) + +/- [loops::list_nth_shared_loop]: termination measure -/ +@[simp] +def list_nth_shared_loop_loop_terminates (T : Type) (ls : list_t T) + (i : UInt32) := + (ls, i) + +syntax "list_nth_shared_loop_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_shared_loop_loop_decreases $ls $i) =>`(tactic| sorry) + +/- [loops::get_elem_mut]: termination measure -/ +@[simp] +def get_elem_mut_loop_terminates (x : USize) (ls : list_t USize) := (x, ls) + +syntax "get_elem_mut_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| get_elem_mut_loop_decreases $x $ls) =>`(tactic| sorry) + +/- [loops::get_elem_shared]: termination measure -/ +@[simp] +def get_elem_shared_loop_terminates (x : USize) (ls : list_t USize) := (x, ls) + +syntax "get_elem_shared_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| get_elem_shared_loop_decreases $x $ls) =>`(tactic| sorry) + +/- [loops::list_nth_mut_loop_with_id]: termination measure -/ +@[simp] +def list_nth_mut_loop_with_id_loop_terminates (T : Type) (i : UInt32) + (ls : list_t T) := + (i, ls) + +syntax "list_nth_mut_loop_with_id_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_mut_loop_with_id_loop_decreases $i $ls) =>`(tactic| sorry) + +/- [loops::list_nth_shared_loop_with_id]: termination measure -/ +@[simp] +def list_nth_shared_loop_with_id_loop_terminates (T : Type) (i : UInt32) + (ls : list_t T) := + (i, ls) + +syntax "list_nth_shared_loop_with_id_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_shared_loop_with_id_loop_decreases $i $ls) =>`(tactic| sorry) + +/- [loops::list_nth_mut_loop_pair]: termination measure -/ +@[simp] +def list_nth_mut_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_mut_loop_pair_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_mut_loop_pair_loop_decreases $ls0 $ls1 $i) =>`(tactic| sorry) + +/- [loops::list_nth_shared_loop_pair]: termination measure -/ +@[simp] +def list_nth_shared_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_shared_loop_pair_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_shared_loop_pair_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_mut_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_mut_loop_pair_merge_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_mut_loop_pair_merge_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_mut_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_shared_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_shared_loop_pair_merge_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_shared_loop_pair_merge_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_shared_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_mut_shared_loop_pair]: termination measure -/ +@[simp] +def list_nth_mut_shared_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_mut_shared_loop_pair_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_mut_shared_loop_pair_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_mut_shared_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_mut_shared_loop_pair_merge_loop_terminates (T : Type) + (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_mut_shared_loop_pair_merge_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_mut_shared_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_shared_mut_loop_pair]: termination measure -/ +@[simp] +def list_nth_shared_mut_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_shared_mut_loop_pair_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_shared_mut_loop_pair_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_shared_mut_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_shared_mut_loop_pair_merge_loop_terminates (T : Type) + (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +syntax "list_nth_shared_mut_loop_pair_merge_loop_decreases" term+ : tactic + +macro_rules +| `(tactic| list_nth_shared_mut_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + diff --git a/tests/lean/misc-loops/Loops/Clauses/Template.lean b/tests/lean/misc-loops/Loops/Clauses/Template.lean new file mode 100644 index 00000000..d1e72d65 --- /dev/null +++ b/tests/lean/misc-loops/Loops/Clauses/Template.lean @@ -0,0 +1,210 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [loops]: templates for the decreases clauses +import Base.Primitives +import Loops.Types + +/- [loops::sum]: termination measure -/ +@[simp] +def sum_loop_terminates (max : UInt32) (i : UInt32) (s : UInt32) := (max, i, s) + +/- [loops::sum]: decreases_by tactic -/ +syntax "sum_loop_decreases" term+ : tactic +macro_rules +| `(tactic| sum_loop_decreases $max $i $s) =>`(tactic| sorry) + +/- [loops::sum_with_mut_borrows]: termination measure -/ +@[simp] +def sum_with_mut_borrows_loop_terminates (max : UInt32) (mi : UInt32) + (ms : UInt32) := + (max, mi, ms) + +/- [loops::sum_with_mut_borrows]: decreases_by tactic -/ +syntax "sum_with_mut_borrows_loop_decreases" term+ : tactic +macro_rules +| `(tactic| sum_with_mut_borrows_loop_decreases $max $mi $ms) =>`(tactic| sorry) + +/- [loops::sum_with_shared_borrows]: termination measure -/ +@[simp] +def sum_with_shared_borrows_loop_terminates (max : UInt32) (i : UInt32) + (s : UInt32) := + (max, i, s) + +/- [loops::sum_with_shared_borrows]: decreases_by tactic -/ +syntax "sum_with_shared_borrows_loop_decreases" term+ : tactic +macro_rules +| `(tactic| sum_with_shared_borrows_loop_decreases $max $i $s) =>`(tactic| sorry) + +/- [loops::clear]: termination measure -/ +@[simp] def clear_loop_terminates (v : Vec UInt32) (i : USize) := (v, i) + +/- [loops::clear]: decreases_by tactic -/ +syntax "clear_loop_decreases" term+ : tactic +macro_rules +| `(tactic| clear_loop_decreases $v $i) =>`(tactic| sorry) + +/- [loops::list_mem]: termination measure -/ +@[simp] +def list_mem_loop_terminates (x : UInt32) (ls : list_t UInt32) := (x, ls) + +/- [loops::list_mem]: decreases_by tactic -/ +syntax "list_mem_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_mem_loop_decreases $x $ls) =>`(tactic| sorry) + +/- [loops::list_nth_mut_loop]: termination measure -/ +@[simp] +def list_nth_mut_loop_loop_terminates (T : Type) (ls : list_t T) (i : UInt32) + := + (ls, i) + +/- [loops::list_nth_mut_loop]: decreases_by tactic -/ +syntax "list_nth_mut_loop_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_mut_loop_loop_decreases $ls $i) =>`(tactic| sorry) + +/- [loops::list_nth_shared_loop]: termination measure -/ +@[simp] +def list_nth_shared_loop_loop_terminates (T : Type) (ls : list_t T) + (i : UInt32) := + (ls, i) + +/- [loops::list_nth_shared_loop]: decreases_by tactic -/ +syntax "list_nth_shared_loop_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_shared_loop_loop_decreases $ls $i) =>`(tactic| sorry) + +/- [loops::get_elem_mut]: termination measure -/ +@[simp] +def get_elem_mut_loop_terminates (x : USize) (ls : list_t USize) := (x, ls) + +/- [loops::get_elem_mut]: decreases_by tactic -/ +syntax "get_elem_mut_loop_decreases" term+ : tactic +macro_rules +| `(tactic| get_elem_mut_loop_decreases $x $ls) =>`(tactic| sorry) + +/- [loops::get_elem_shared]: termination measure -/ +@[simp] +def get_elem_shared_loop_terminates (x : USize) (ls : list_t USize) := (x, ls) + +/- [loops::get_elem_shared]: decreases_by tactic -/ +syntax "get_elem_shared_loop_decreases" term+ : tactic +macro_rules +| `(tactic| get_elem_shared_loop_decreases $x $ls) =>`(tactic| sorry) + +/- [loops::list_nth_mut_loop_with_id]: termination measure -/ +@[simp] +def list_nth_mut_loop_with_id_loop_terminates (T : Type) (i : UInt32) + (ls : list_t T) := + (i, ls) + +/- [loops::list_nth_mut_loop_with_id]: decreases_by tactic -/ +syntax "list_nth_mut_loop_with_id_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_mut_loop_with_id_loop_decreases $i $ls) =>`(tactic| sorry) + +/- [loops::list_nth_shared_loop_with_id]: termination measure -/ +@[simp] +def list_nth_shared_loop_with_id_loop_terminates (T : Type) (i : UInt32) + (ls : list_t T) := + (i, ls) + +/- [loops::list_nth_shared_loop_with_id]: decreases_by tactic -/ +syntax "list_nth_shared_loop_with_id_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_shared_loop_with_id_loop_decreases $i $ls) =>`(tactic| sorry) + +/- [loops::list_nth_mut_loop_pair]: termination measure -/ +@[simp] +def list_nth_mut_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_mut_loop_pair]: decreases_by tactic -/ +syntax "list_nth_mut_loop_pair_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_mut_loop_pair_loop_decreases $ls0 $ls1 $i) =>`(tactic| sorry) + +/- [loops::list_nth_shared_loop_pair]: termination measure -/ +@[simp] +def list_nth_shared_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_shared_loop_pair]: decreases_by tactic -/ +syntax "list_nth_shared_loop_pair_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_shared_loop_pair_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_mut_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_mut_loop_pair_merge_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_mut_loop_pair_merge]: decreases_by tactic -/ +syntax "list_nth_mut_loop_pair_merge_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_mut_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_shared_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_shared_loop_pair_merge_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_shared_loop_pair_merge]: decreases_by tactic -/ +syntax "list_nth_shared_loop_pair_merge_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_shared_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_mut_shared_loop_pair]: termination measure -/ +@[simp] +def list_nth_mut_shared_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_mut_shared_loop_pair]: decreases_by tactic -/ +syntax "list_nth_mut_shared_loop_pair_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_mut_shared_loop_pair_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_mut_shared_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_mut_shared_loop_pair_merge_loop_terminates (T : Type) + (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_mut_shared_loop_pair_merge]: decreases_by tactic -/ +syntax "list_nth_mut_shared_loop_pair_merge_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_mut_shared_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_shared_mut_loop_pair]: termination measure -/ +@[simp] +def list_nth_shared_mut_loop_pair_loop_terminates (T : Type) (ls0 : list_t T) + (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_shared_mut_loop_pair]: decreases_by tactic -/ +syntax "list_nth_shared_mut_loop_pair_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_shared_mut_loop_pair_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + +/- [loops::list_nth_shared_mut_loop_pair_merge]: termination measure -/ +@[simp] +def list_nth_shared_mut_loop_pair_merge_loop_terminates (T : Type) + (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) := + (ls0, ls1, i) + +/- [loops::list_nth_shared_mut_loop_pair_merge]: decreases_by tactic -/ +syntax "list_nth_shared_mut_loop_pair_merge_loop_decreases" term+ : tactic +macro_rules +| `(tactic| list_nth_shared_mut_loop_pair_merge_loop_decreases $ls0 $ls1 $i) => + `(tactic| sorry) + diff --git a/tests/lean/misc-loops/Loops/Funs.lean b/tests/lean/misc-loops/Loops/Funs.lean new file mode 100644 index 00000000..5a81ebff --- /dev/null +++ b/tests/lean/misc-loops/Loops/Funs.lean @@ -0,0 +1,740 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [loops]: function definitions +import Base.Primitives +import Loops.Types +import Loops.Clauses.Clauses + +/- [loops::sum] -/ +def sum_loop_fwd (max : UInt32) (i : UInt32) (s : UInt32) : (Result UInt32) := + if h: i < max + then + do + let s0 ← UInt32.checked_add s i + let i0 ← UInt32.checked_add i (UInt32.ofNatCore 1 (by intlit)) + sum_loop_fwd max i0 s0 + else UInt32.checked_mul s (UInt32.ofNatCore 2 (by intlit)) +termination_by sum_loop_fwd max i s => sum_loop_terminates max i s +decreasing_by sum_loop_decreases max i s + +/- [loops::sum] -/ +def sum_fwd (max : UInt32) : Result UInt32 := + sum_loop_fwd max (UInt32.ofNatCore 0 (by intlit)) + (UInt32.ofNatCore 0 (by intlit)) + +/- [loops::sum_with_mut_borrows] -/ +def sum_with_mut_borrows_loop_fwd + (max : UInt32) (mi : UInt32) (ms : UInt32) : (Result UInt32) := + if h: mi < max + then + do + let ms0 ← UInt32.checked_add ms mi + let mi0 ← UInt32.checked_add mi (UInt32.ofNatCore 1 (by intlit)) + sum_with_mut_borrows_loop_fwd max mi0 ms0 + else UInt32.checked_mul ms (UInt32.ofNatCore 2 (by intlit)) +termination_by sum_with_mut_borrows_loop_fwd max mi ms => + sum_with_mut_borrows_loop_terminates max mi ms +decreasing_by sum_with_mut_borrows_loop_decreases max mi ms + +/- [loops::sum_with_mut_borrows] -/ +def sum_with_mut_borrows_fwd (max : UInt32) : Result UInt32 := + sum_with_mut_borrows_loop_fwd max (UInt32.ofNatCore 0 (by intlit)) + (UInt32.ofNatCore 0 (by intlit)) + +/- [loops::sum_with_shared_borrows] -/ +def sum_with_shared_borrows_loop_fwd + (max : UInt32) (i : UInt32) (s : UInt32) : (Result UInt32) := + if h: i < max + then + do + let i0 ← UInt32.checked_add i (UInt32.ofNatCore 1 (by intlit)) + let s0 ← UInt32.checked_add s i0 + sum_with_shared_borrows_loop_fwd max i0 s0 + else UInt32.checked_mul s (UInt32.ofNatCore 2 (by intlit)) +termination_by sum_with_shared_borrows_loop_fwd max i s => + sum_with_shared_borrows_loop_terminates max i s +decreasing_by sum_with_shared_borrows_loop_decreases max i s + +/- [loops::sum_with_shared_borrows] -/ +def sum_with_shared_borrows_fwd (max : UInt32) : Result UInt32 := + sum_with_shared_borrows_loop_fwd max (UInt32.ofNatCore 0 (by intlit)) + (UInt32.ofNatCore 0 (by intlit)) + +/- [loops::clear] -/ +def clear_loop_fwd_back (v : Vec UInt32) (i : USize) : (Result (Vec UInt32)) := + let i0 := vec_len UInt32 v + if h: i < i0 + then + do + let i1 ← USize.checked_add i (USize.ofNatCore 1 (by intlit)) + let v0 ← vec_index_mut_back UInt32 v i (UInt32.ofNatCore 0 (by intlit)) + clear_loop_fwd_back v0 i1 + else Result.ret v +termination_by clear_loop_fwd_back v i => clear_loop_terminates v i +decreasing_by clear_loop_decreases v i + +/- [loops::clear] -/ +def clear_fwd_back (v : Vec UInt32) : Result (Vec UInt32) := + clear_loop_fwd_back v (USize.ofNatCore 0 (by intlit)) + +/- [loops::list_mem] -/ +def list_mem_loop_fwd (x : UInt32) (ls : list_t UInt32) : (Result Bool) := + match h: ls with + | list_t.ListCons y tl => + if h: y = x + then Result.ret true + else list_mem_loop_fwd x tl + | list_t.ListNil => Result.ret false +termination_by list_mem_loop_fwd x ls => list_mem_loop_terminates x ls +decreasing_by list_mem_loop_decreases x ls + +/- [loops::list_mem] -/ +def list_mem_fwd (x : UInt32) (ls : list_t UInt32) : Result Bool := + list_mem_loop_fwd x ls + +/- [loops::list_nth_mut_loop] -/ +def list_nth_mut_loop_loop_fwd + (T : Type) (ls : list_t T) (i : UInt32) : (Result T) := + match h: ls with + | list_t.ListCons x tl => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret x + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_mut_loop_loop_fwd T tl i0 + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_loop_fwd ls i => + list_nth_mut_loop_loop_terminates T ls i +decreasing_by list_nth_mut_loop_loop_decreases ls i + +/- [loops::list_nth_mut_loop] -/ +def list_nth_mut_loop_fwd (T : Type) (ls : list_t T) (i : UInt32) : Result T := + list_nth_mut_loop_loop_fwd T ls i + +/- [loops::list_nth_mut_loop] -/ +def list_nth_mut_loop_loop_back + (T : Type) (ls : list_t T) (i : UInt32) (ret0 : T) : (Result (list_t T)) := + match h: ls with + | list_t.ListCons x tl => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret0 + Result.ret (list_t.ListCons x tl0) + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_loop_back ls i ret0 => + list_nth_mut_loop_loop_terminates T ls i +decreasing_by list_nth_mut_loop_loop_decreases ls i + +/- [loops::list_nth_mut_loop] -/ +def list_nth_mut_loop_back + (T : Type) (ls : list_t T) (i : UInt32) (ret0 : T) : Result (list_t T) := + list_nth_mut_loop_loop_back T ls i ret0 + +/- [loops::list_nth_shared_loop] -/ +def list_nth_shared_loop_loop_fwd + (T : Type) (ls : list_t T) (i : UInt32) : (Result T) := + match h: ls with + | list_t.ListCons x tl => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret x + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_shared_loop_loop_fwd T tl i0 + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_loop_loop_fwd ls i => + list_nth_shared_loop_loop_terminates T ls i +decreasing_by list_nth_shared_loop_loop_decreases ls i + +/- [loops::list_nth_shared_loop] -/ +def list_nth_shared_loop_fwd + (T : Type) (ls : list_t T) (i : UInt32) : Result T := + list_nth_shared_loop_loop_fwd T ls i + +/- [loops::get_elem_mut] -/ +def get_elem_mut_loop_fwd (x : USize) (ls : list_t USize) : (Result USize) := + match h: ls with + | list_t.ListCons y tl => + if h: y = x + then Result.ret y + else get_elem_mut_loop_fwd x tl + | list_t.ListNil => Result.fail Error.panic +termination_by get_elem_mut_loop_fwd x ls => get_elem_mut_loop_terminates x ls +decreasing_by get_elem_mut_loop_decreases x ls + +/- [loops::get_elem_mut] -/ +def get_elem_mut_fwd (slots : Vec (list_t USize)) (x : USize) : Result USize := + do + let l ← + vec_index_mut_fwd (list_t USize) slots (USize.ofNatCore 0 (by intlit)) + get_elem_mut_loop_fwd x l + +/- [loops::get_elem_mut] -/ +def get_elem_mut_loop_back + (x : USize) (ls : list_t USize) (ret0 : USize) : (Result (list_t USize)) := + match h: ls with + | list_t.ListCons y tl => + if h: y = x + then Result.ret (list_t.ListCons ret0 tl) + else + do + let tl0 ← get_elem_mut_loop_back x tl ret0 + Result.ret (list_t.ListCons y tl0) + | list_t.ListNil => Result.fail Error.panic +termination_by get_elem_mut_loop_back x ls ret0 => + get_elem_mut_loop_terminates x ls +decreasing_by get_elem_mut_loop_decreases x ls + +/- [loops::get_elem_mut] -/ +def get_elem_mut_back + (slots : Vec (list_t USize)) (x : USize) (ret0 : USize) : + Result (Vec (list_t USize)) + := + do + let l ← + vec_index_mut_fwd (list_t USize) slots (USize.ofNatCore 0 (by intlit)) + let l0 ← get_elem_mut_loop_back x l ret0 + vec_index_mut_back (list_t USize) slots (USize.ofNatCore 0 (by intlit)) l0 + +/- [loops::get_elem_shared] -/ +def get_elem_shared_loop_fwd + (x : USize) (ls : list_t USize) : (Result USize) := + match h: ls with + | list_t.ListCons y tl => + if h: y = x + then Result.ret y + else get_elem_shared_loop_fwd x tl + | list_t.ListNil => Result.fail Error.panic +termination_by get_elem_shared_loop_fwd x ls => + get_elem_shared_loop_terminates x ls +decreasing_by get_elem_shared_loop_decreases x ls + +/- [loops::get_elem_shared] -/ +def get_elem_shared_fwd + (slots : Vec (list_t USize)) (x : USize) : Result USize := + do + let l ← + vec_index_fwd (list_t USize) slots (USize.ofNatCore 0 (by intlit)) + get_elem_shared_loop_fwd x l + +/- [loops::id_mut] -/ +def id_mut_fwd (T : Type) (ls : list_t T) : Result (list_t T) := + Result.ret ls + +/- [loops::id_mut] -/ +def id_mut_back + (T : Type) (ls : list_t T) (ret0 : list_t T) : Result (list_t T) := + Result.ret ret0 + +/- [loops::id_shared] -/ +def id_shared_fwd (T : Type) (ls : list_t T) : Result (list_t T) := + Result.ret ls + +/- [loops::list_nth_mut_loop_with_id] -/ +def list_nth_mut_loop_with_id_loop_fwd + (T : Type) (i : UInt32) (ls : list_t T) : (Result T) := + match h: ls with + | list_t.ListCons x tl => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret x + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_mut_loop_with_id_loop_fwd T i0 tl + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_with_id_loop_fwd i ls => + list_nth_mut_loop_with_id_loop_terminates T i ls +decreasing_by list_nth_mut_loop_with_id_loop_decreases i ls + +/- [loops::list_nth_mut_loop_with_id] -/ +def list_nth_mut_loop_with_id_fwd + (T : Type) (ls : list_t T) (i : UInt32) : Result T := + do + let ls0 ← id_mut_fwd T ls + list_nth_mut_loop_with_id_loop_fwd T i ls0 + +/- [loops::list_nth_mut_loop_with_id] -/ +def list_nth_mut_loop_with_id_loop_back + (T : Type) (i : UInt32) (ls : list_t T) (ret0 : T) : (Result (list_t T)) := + match h: ls with + | list_t.ListCons x tl => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret0 + Result.ret (list_t.ListCons x tl0) + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_with_id_loop_back i ls ret0 => + list_nth_mut_loop_with_id_loop_terminates T i ls +decreasing_by list_nth_mut_loop_with_id_loop_decreases i ls + +/- [loops::list_nth_mut_loop_with_id] -/ +def list_nth_mut_loop_with_id_back + (T : Type) (ls : list_t T) (i : UInt32) (ret0 : T) : Result (list_t T) := + do + let ls0 ← id_mut_fwd T ls + let l ← list_nth_mut_loop_with_id_loop_back T i ls0 ret0 + id_mut_back T ls l + +/- [loops::list_nth_shared_loop_with_id] -/ +def list_nth_shared_loop_with_id_loop_fwd + (T : Type) (i : UInt32) (ls : list_t T) : (Result T) := + match h: ls with + | list_t.ListCons x tl => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret x + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_shared_loop_with_id_loop_fwd T i0 tl + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_loop_with_id_loop_fwd i ls => + list_nth_shared_loop_with_id_loop_terminates T i ls +decreasing_by list_nth_shared_loop_with_id_loop_decreases i ls + +/- [loops::list_nth_shared_loop_with_id] -/ +def list_nth_shared_loop_with_id_fwd + (T : Type) (ls : list_t T) (i : UInt32) : Result T := + do + let ls0 ← id_shared_fwd T ls + list_nth_shared_loop_with_id_loop_fwd T i ls0 + +/- [loops::list_nth_mut_loop_pair] -/ +def list_nth_mut_loop_pair_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_mut_loop_pair_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_pair_loop_fwd ls0 ls1 i => + list_nth_mut_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair] -/ +def list_nth_mut_loop_pair_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_mut_loop_pair_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair] -/ +def list_nth_mut_loop_pair_loop_back'a + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + (Result (list_t T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl0) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x0 tl00) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_pair_loop_back'a ls0 ls1 i ret0 => + list_nth_mut_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair] -/ +def list_nth_mut_loop_pair_back'a + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + Result (list_t T) + := + list_nth_mut_loop_pair_loop_back'a T ls0 ls1 i ret0 + +/- [loops::list_nth_mut_loop_pair] -/ +def list_nth_mut_loop_pair_loop_back'b + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + (Result (list_t T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x1 tl10) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_pair_loop_back'b ls0 ls1 i ret0 => + list_nth_mut_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair] -/ +def list_nth_mut_loop_pair_back'b + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + Result (list_t T) + := + list_nth_mut_loop_pair_loop_back'b T ls0 ls1 i ret0 + +/- [loops::list_nth_shared_loop_pair] -/ +def list_nth_shared_loop_pair_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_shared_loop_pair_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_loop_pair_loop_fwd ls0 ls1 i => + list_nth_shared_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_shared_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_shared_loop_pair] -/ +def list_nth_shared_loop_pair_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_shared_loop_pair_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair_merge] -/ +def list_nth_mut_loop_pair_merge_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_mut_loop_pair_merge_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_pair_merge_loop_fwd ls0 ls1 i => + list_nth_mut_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair_merge] -/ +def list_nth_mut_loop_pair_merge_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_mut_loop_pair_merge_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair_merge] -/ +def list_nth_mut_loop_pair_merge_loop_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : (T × T)) : + (Result ((list_t T) × (list_t T))) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then + let (t, t0) := ret0 + Result.ret (list_t.ListCons t tl0, list_t.ListCons t0 tl1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let (tl00, tl10) ← + list_nth_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x0 tl00, list_t.ListCons x1 tl10) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_loop_pair_merge_loop_back ls0 ls1 i ret0 => + list_nth_mut_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_loop_pair_merge] -/ +def list_nth_mut_loop_pair_merge_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : (T × T)) : + Result ((list_t T) × (list_t T)) + := + list_nth_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0 + +/- [loops::list_nth_shared_loop_pair_merge] -/ +def list_nth_shared_loop_pair_merge_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_shared_loop_pair_merge_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_loop_pair_merge_loop_fwd ls0 ls1 i => + list_nth_shared_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_shared_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_shared_loop_pair_merge] -/ +def list_nth_shared_loop_pair_merge_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_shared_loop_pair_merge_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair] -/ +def list_nth_mut_shared_loop_pair_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_mut_shared_loop_pair_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_shared_loop_pair_loop_fwd ls0 ls1 i => + list_nth_mut_shared_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_shared_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair] -/ +def list_nth_mut_shared_loop_pair_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_mut_shared_loop_pair_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair] -/ +def list_nth_mut_shared_loop_pair_loop_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + (Result (list_t T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl0) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl00 ← + list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x0 tl00) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_shared_loop_pair_loop_back ls0 ls1 i ret0 => + list_nth_mut_shared_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_shared_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair] -/ +def list_nth_mut_shared_loop_pair_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + Result (list_t T) + := + list_nth_mut_shared_loop_pair_loop_back T ls0 ls1 i ret0 + +/- [loops::list_nth_mut_shared_loop_pair_merge] -/ +def list_nth_mut_shared_loop_pair_merge_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_mut_shared_loop_pair_merge_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_shared_loop_pair_merge_loop_fwd ls0 ls1 i => + list_nth_mut_shared_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_shared_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair_merge] -/ +def list_nth_mut_shared_loop_pair_merge_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_mut_shared_loop_pair_merge_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair_merge] -/ +def list_nth_mut_shared_loop_pair_merge_loop_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + (Result (list_t T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl0) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl00 ← + list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x0 tl00) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_mut_shared_loop_pair_merge_loop_back ls0 ls1 i ret0 => + list_nth_mut_shared_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_mut_shared_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_mut_shared_loop_pair_merge] -/ +def list_nth_mut_shared_loop_pair_merge_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + Result (list_t T) + := + list_nth_mut_shared_loop_pair_merge_loop_back T ls0 ls1 i ret0 + +/- [loops::list_nth_shared_mut_loop_pair] -/ +def list_nth_shared_mut_loop_pair_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_shared_mut_loop_pair_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_mut_loop_pair_loop_fwd ls0 ls1 i => + list_nth_shared_mut_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_shared_mut_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_shared_mut_loop_pair] -/ +def list_nth_shared_mut_loop_pair_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_shared_mut_loop_pair_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_shared_mut_loop_pair] -/ +def list_nth_shared_mut_loop_pair_loop_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + (Result (list_t T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl10 ← + list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x1 tl10) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_mut_loop_pair_loop_back ls0 ls1 i ret0 => + list_nth_shared_mut_loop_pair_loop_terminates T ls0 ls1 i +decreasing_by list_nth_shared_mut_loop_pair_loop_decreases ls0 ls1 i + +/- [loops::list_nth_shared_mut_loop_pair] -/ +def list_nth_shared_mut_loop_pair_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + Result (list_t T) + := + list_nth_shared_mut_loop_pair_loop_back T ls0 ls1 i ret0 + +/- [loops::list_nth_shared_mut_loop_pair_merge] -/ +def list_nth_shared_mut_loop_pair_merge_loop_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + (Result (T × T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (x0, x1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + list_nth_shared_mut_loop_pair_merge_loop_fwd T tl0 tl1 i0 + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_mut_loop_pair_merge_loop_fwd ls0 ls1 i => + list_nth_shared_mut_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_shared_mut_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_shared_mut_loop_pair_merge] -/ +def list_nth_shared_mut_loop_pair_merge_fwd + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) : + Result (T × T) + := + list_nth_shared_mut_loop_pair_merge_loop_fwd T ls0 ls1 i + +/- [loops::list_nth_shared_mut_loop_pair_merge] -/ +def list_nth_shared_mut_loop_pair_merge_loop_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + (Result (list_t T)) + := + match h: ls0 with + | list_t.ListCons x0 tl0 => + match h: ls1 with + | list_t.ListCons x1 tl1 => + if h: i = (UInt32.ofNatCore 0 (by intlit)) + then Result.ret (list_t.ListCons ret0 tl1) + else + do + let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit)) + let tl10 ← + list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0 + Result.ret (list_t.ListCons x1 tl10) + | list_t.ListNil => Result.fail Error.panic + | list_t.ListNil => Result.fail Error.panic +termination_by list_nth_shared_mut_loop_pair_merge_loop_back ls0 ls1 i ret0 => + list_nth_shared_mut_loop_pair_merge_loop_terminates T ls0 ls1 i +decreasing_by list_nth_shared_mut_loop_pair_merge_loop_decreases ls0 ls1 i + +/- [loops::list_nth_shared_mut_loop_pair_merge] -/ +def list_nth_shared_mut_loop_pair_merge_back + (T : Type) (ls0 : list_t T) (ls1 : list_t T) (i : UInt32) (ret0 : T) : + Result (list_t T) + := + list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0 + diff --git a/tests/lean/misc-loops/Loops/Types.lean b/tests/lean/misc-loops/Loops/Types.lean new file mode 100644 index 00000000..f4b6809e --- /dev/null +++ b/tests/lean/misc-loops/Loops/Types.lean @@ -0,0 +1,9 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [loops]: type definitions +import Base.Primitives + +/- [loops::List] -/ +inductive list_t (T : Type) := +| ListCons : T -> list_t T -> list_t T +| ListNil : list_t T + |