diff options
Diffstat (limited to 'tests/fstar/misc')
| -rw-r--r-- | tests/fstar/misc/Loops.fst | 784 | ||||
| -rw-r--r-- | tests/fstar/misc/Primitives.fst | 18 |
2 files changed, 17 insertions, 785 deletions
diff --git a/tests/fstar/misc/Loops.fst b/tests/fstar/misc/Loops.fst deleted file mode 100644 index 823acdd4..00000000 --- a/tests/fstar/misc/Loops.fst +++ /dev/null @@ -1,784 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [loops] *) -module Loops -open Primitives - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [loops::sum]: decreases clause *) -unfold let sum_loop_decreases (max : u32) (i : u32) (s : u32) : nat = admit () - -(** [loops::sum]: loop 0: forward function *) -let rec sum_loop - (max : u32) (i : u32) (s : u32) : - Tot (result u32) (decreases (sum_loop_decreases max i s)) - = - if i < max - then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop max i0 s0 - else u32_mul s 2 - -(** [loops::sum]: forward function *) -let sum (max : u32) : result u32 = - sum_loop max 0 0 - -(** [loops::sum_with_mut_borrows]: decreases clause *) -unfold -let sum_with_mut_borrows_loop_decreases (max : u32) (mi : u32) (ms : u32) : nat - = - admit () - -(** [loops::sum_with_mut_borrows]: loop 0: forward function *) -let rec sum_with_mut_borrows_loop - (max : u32) (mi : u32) (ms : u32) : - Tot (result u32) (decreases (sum_with_mut_borrows_loop_decreases max mi ms)) - = - if mi < max - then - let* ms0 = u32_add ms mi in - let* mi0 = u32_add mi 1 in - sum_with_mut_borrows_loop max mi0 ms0 - else u32_mul ms 2 - -(** [loops::sum_with_mut_borrows]: forward function *) -let sum_with_mut_borrows (max : u32) : result u32 = - sum_with_mut_borrows_loop max 0 0 - -(** [loops::sum_with_shared_borrows]: decreases clause *) -unfold -let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) : - nat = - admit () - -(** [loops::sum_with_shared_borrows]: loop 0: forward function *) -let rec sum_with_shared_borrows_loop - (max : u32) (i : u32) (s : u32) : - Tot (result u32) (decreases (sum_with_shared_borrows_loop_decreases max i s)) - = - if i < max - then - let* i0 = u32_add i 1 in - let* s0 = u32_add s i0 in - sum_with_shared_borrows_loop max i0 s0 - else u32_mul s 2 - -(** [loops::sum_with_shared_borrows]: forward function *) -let sum_with_shared_borrows (max : u32) : result u32 = - sum_with_shared_borrows_loop max 0 0 - -(** [loops::clear]: decreases clause *) -unfold -let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat = admit () - -(** [loops::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec clear_loop - (v : alloc_vec_Vec u32) (i : usize) : - Tot (result (alloc_vec_Vec u32)) (decreases (clear_loop_decreases v i)) - = - let i0 = alloc_vec_Vec_len u32 v in - if i < i0 - then - let* i1 = usize_add i 1 in - let* v0 = - alloc_vec_Vec_index_mut_back u32 usize - (core_slice_index_usize_coresliceindexSliceIndexInst u32) v i 0 in - clear_loop v0 i1 - else Return v - -(** [loops::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let clear (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) = - clear_loop v 0 - -(** [loops::List] *) -type list_t (t : Type0) = -| List_Cons : t -> list_t t -> list_t t -| List_Nil : list_t t - -(** [loops::list_mem]: decreases clause *) -unfold let list_mem_loop_decreases (x : u32) (ls : list_t u32) : nat = admit () - -(** [loops::list_mem]: loop 0: forward function *) -let rec list_mem_loop - (x : u32) (ls : list_t u32) : - Tot (result bool) (decreases (list_mem_loop_decreases x ls)) - = - begin match ls with - | List_Cons y tl -> if y = x then Return true else list_mem_loop x tl - | List_Nil -> Return false - end - -(** [loops::list_mem]: forward function *) -let list_mem (x : u32) (ls : list_t u32) : result bool = - list_mem_loop x ls - -(** [loops::list_nth_mut_loop]: decreases clause *) -unfold -let list_nth_mut_loop_loop_decreases (t : Type0) (ls : list_t t) (i : u32) : - nat = - admit () - -(** [loops::list_nth_mut_loop]: loop 0: forward function *) -let rec list_nth_mut_loop_loop - (t : Type0) (ls : list_t t) (i : u32) : - Tot (result t) (decreases (list_nth_mut_loop_loop_decreases t ls i)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop t tl i0 - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop]: forward function *) -let list_nth_mut_loop (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_mut_loop_loop t ls i - -(** [loops::list_nth_mut_loop]: loop 0: backward function 0 *) -let rec list_nth_mut_loop_loop_back - (t : Type0) (ls : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) (decreases (list_nth_mut_loop_loop_decreases t ls i)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return (List_Cons ret tl) - else - let* i0 = u32_sub i 1 in - let* tl0 = list_nth_mut_loop_loop_back t tl i0 ret in - Return (List_Cons x tl0) - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop]: backward function 0 *) -let list_nth_mut_loop_back - (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = - list_nth_mut_loop_loop_back t ls i ret - -(** [loops::list_nth_shared_loop]: decreases clause *) -unfold -let list_nth_shared_loop_loop_decreases (t : Type0) (ls : list_t t) (i : u32) : - nat = - admit () - -(** [loops::list_nth_shared_loop]: loop 0: forward function *) -let rec list_nth_shared_loop_loop - (t : Type0) (ls : list_t t) (i : u32) : - Tot (result t) (decreases (list_nth_shared_loop_loop_decreases t ls i)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop t tl i0 - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_loop]: forward function *) -let list_nth_shared_loop (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_shared_loop_loop t ls i - -(** [loops::get_elem_mut]: decreases clause *) -unfold -let get_elem_mut_loop_decreases (x : usize) (ls : list_t usize) : nat = - admit () - -(** [loops::get_elem_mut]: loop 0: forward function *) -let rec get_elem_mut_loop - (x : usize) (ls : list_t usize) : - Tot (result usize) (decreases (get_elem_mut_loop_decreases x ls)) - = - begin match ls with - | List_Cons y tl -> if y = x then Return y else get_elem_mut_loop x tl - | List_Nil -> Fail Failure - end - -(** [loops::get_elem_mut]: forward function *) -let get_elem_mut - (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = - let* l = - alloc_vec_Vec_index_mut (list_t usize) usize - (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) - slots 0 in - get_elem_mut_loop x l - -(** [loops::get_elem_mut]: loop 0: backward function 0 *) -let rec get_elem_mut_loop_back - (x : usize) (ls : list_t usize) (ret : usize) : - Tot (result (list_t usize)) (decreases (get_elem_mut_loop_decreases x ls)) - = - begin match ls with - | List_Cons y tl -> - if y = x - then Return (List_Cons ret tl) - else let* tl0 = get_elem_mut_loop_back x tl ret in Return (List_Cons y tl0) - | List_Nil -> Fail Failure - end - -(** [loops::get_elem_mut]: backward function 0 *) -let get_elem_mut_back - (slots : alloc_vec_Vec (list_t usize)) (x : usize) (ret : usize) : - result (alloc_vec_Vec (list_t usize)) - = - let* l = - alloc_vec_Vec_index_mut (list_t usize) usize - (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) - slots 0 in - let* l0 = get_elem_mut_loop_back x l ret in - alloc_vec_Vec_index_mut_back (list_t usize) usize - (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) slots - 0 l0 - -(** [loops::get_elem_shared]: decreases clause *) -unfold -let get_elem_shared_loop_decreases (x : usize) (ls : list_t usize) : nat = - admit () - -(** [loops::get_elem_shared]: loop 0: forward function *) -let rec get_elem_shared_loop - (x : usize) (ls : list_t usize) : - Tot (result usize) (decreases (get_elem_shared_loop_decreases x ls)) - = - begin match ls with - | List_Cons y tl -> if y = x then Return y else get_elem_shared_loop x tl - | List_Nil -> Fail Failure - end - -(** [loops::get_elem_shared]: forward function *) -let get_elem_shared - (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = - let* l = - alloc_vec_Vec_index (list_t usize) usize - (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) - slots 0 in - get_elem_shared_loop x l - -(** [loops::id_mut]: forward function *) -let id_mut (t : Type0) (ls : list_t t) : result (list_t t) = - Return ls - -(** [loops::id_mut]: backward function 0 *) -let id_mut_back - (t : Type0) (ls : list_t t) (ret : list_t t) : result (list_t t) = - Return ret - -(** [loops::id_shared]: forward function *) -let id_shared (t : Type0) (ls : list_t t) : result (list_t t) = - Return ls - -(** [loops::list_nth_mut_loop_with_id]: decreases clause *) -unfold -let list_nth_mut_loop_with_id_loop_decreases (t : Type0) (i : u32) - (ls : list_t t) : nat = - admit () - -(** [loops::list_nth_mut_loop_with_id]: loop 0: forward function *) -let rec list_nth_mut_loop_with_id_loop - (t : Type0) (i : u32) (ls : list_t t) : - Tot (result t) (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_with_id_loop t i0 tl - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_with_id]: forward function *) -let list_nth_mut_loop_with_id - (t : Type0) (ls : list_t t) (i : u32) : result t = - let* ls0 = id_mut t ls in list_nth_mut_loop_with_id_loop t i ls0 - -(** [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 *) -let rec list_nth_mut_loop_with_id_loop_back - (t : Type0) (i : u32) (ls : list_t t) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return (List_Cons ret tl) - else - let* i0 = u32_sub i 1 in - let* tl0 = list_nth_mut_loop_with_id_loop_back t i0 tl ret in - Return (List_Cons x tl0) - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_with_id]: backward function 0 *) -let list_nth_mut_loop_with_id_back - (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = - let* ls0 = id_mut t ls in - let* l = list_nth_mut_loop_with_id_loop_back t i ls0 ret in - id_mut_back t ls l - -(** [loops::list_nth_shared_loop_with_id]: decreases clause *) -unfold -let list_nth_shared_loop_with_id_loop_decreases (t : Type0) (i : u32) - (ls : list_t t) : nat = - admit () - -(** [loops::list_nth_shared_loop_with_id]: loop 0: forward function *) -let rec list_nth_shared_loop_with_id_loop - (t : Type0) (i : u32) (ls : list_t t) : - Tot (result t) - (decreases (list_nth_shared_loop_with_id_loop_decreases t i ls)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i0 tl - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_loop_with_id]: forward function *) -let list_nth_shared_loop_with_id - (t : Type0) (ls : list_t t) (i : u32) : result t = - let* ls0 = id_shared t ls in list_nth_shared_loop_with_id_loop t i ls0 - -(** [loops::list_nth_mut_loop_pair]: decreases clause *) -unfold -let list_nth_mut_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) - (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_mut_loop_pair]: loop 0: forward function *) -let rec list_nth_mut_loop_pair_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair]: forward function *) -let list_nth_mut_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 *) -let rec list_nth_mut_loop_pair_loop_back'a - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl0) - else - let* i0 = u32_sub i 1 in - let* tl00 = list_nth_mut_loop_pair_loop_back'a t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair]: backward function 0 *) -let list_nth_mut_loop_pair_back'a - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) - = - list_nth_mut_loop_pair_loop_back'a t ls0 ls1 i ret - -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 *) -let rec list_nth_mut_loop_pair_loop_back'b - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl1) - else - let* i0 = u32_sub i 1 in - let* tl10 = list_nth_mut_loop_pair_loop_back'b t tl0 tl1 i0 ret in - Return (List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair]: backward function 1 *) -let list_nth_mut_loop_pair_back'b - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) - = - list_nth_mut_loop_pair_loop_back'b t ls0 ls1 i ret - -(** [loops::list_nth_shared_loop_pair]: decreases clause *) -unfold -let list_nth_shared_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) - (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_shared_loop_pair]: loop 0: forward function *) -let rec list_nth_shared_loop_pair_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_shared_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else let* i0 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_loop_pair]: forward function *) -let list_nth_shared_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_mut_loop_pair_merge]: decreases clause *) -unfold -let list_nth_mut_loop_pair_merge_loop_decreases (t : Type0) (ls0 : list_t t) - (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_mut_loop_pair_merge_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else - let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_merge_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair_merge]: forward function *) -let list_nth_mut_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_loop_pair_merge_loop t ls0 ls1 i - -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 *) -let rec list_nth_mut_loop_pair_merge_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : (t & t)) : - Tot (result ((list_t t) & (list_t t))) - (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then let (x, x2) = ret in Return (List_Cons x tl0, List_Cons x2 tl1) - else - let* i0 = u32_sub i 1 in - let* (tl00, tl10) = - list_nth_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00, List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair_merge]: backward function 0 *) -let list_nth_mut_loop_pair_merge_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : (t & t)) : - result ((list_t t) & (list_t t)) - = - list_nth_mut_loop_pair_merge_loop_back t ls0 ls1 i ret - -(** [loops::list_nth_shared_loop_pair_merge]: decreases clause *) -unfold -let list_nth_shared_loop_pair_merge_loop_decreases (t : Type0) (ls0 : list_t t) - (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_shared_loop_pair_merge_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else - let* i0 = u32_sub i 1 in - list_nth_shared_loop_pair_merge_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_loop_pair_merge]: forward function *) -let list_nth_shared_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_loop_pair_merge_loop t ls0 ls1 i - -(** [loops::list_nth_mut_shared_loop_pair]: decreases clause *) -unfold -let list_nth_mut_shared_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) - (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function *) -let rec list_nth_mut_shared_loop_pair_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else - let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_shared_loop_pair]: forward function *) -let list_nth_mut_shared_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_shared_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 *) -let rec list_nth_mut_shared_loop_pair_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl0) - else - let* i0 = u32_sub i 1 in - let* tl00 = list_nth_mut_shared_loop_pair_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_shared_loop_pair]: backward function 0 *) -let list_nth_mut_shared_loop_pair_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) - = - list_nth_mut_shared_loop_pair_loop_back t ls0 ls1 i ret - -(** [loops::list_nth_mut_shared_loop_pair_merge]: decreases clause *) -unfold -let list_nth_mut_shared_loop_pair_merge_loop_decreases (t : Type0) - (ls0 : list_t t) (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_mut_shared_loop_pair_merge_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else - let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_shared_loop_pair_merge]: forward function *) -let list_nth_mut_shared_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_shared_loop_pair_merge_loop t ls0 ls1 i - -(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: backward function 0 *) -let rec list_nth_mut_shared_loop_pair_merge_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl0) - else - let* i0 = u32_sub i 1 in - let* tl00 = - list_nth_mut_shared_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 *) -let list_nth_mut_shared_loop_pair_merge_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) - = - list_nth_mut_shared_loop_pair_merge_loop_back t ls0 ls1 i ret - -(** [loops::list_nth_shared_mut_loop_pair]: decreases clause *) -unfold -let list_nth_shared_mut_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) - (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function *) -let rec list_nth_shared_mut_loop_pair_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else - let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_mut_loop_pair]: forward function *) -let list_nth_shared_mut_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_mut_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 *) -let rec list_nth_shared_mut_loop_pair_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl1) - else - let* i0 = u32_sub i 1 in - let* tl10 = list_nth_shared_mut_loop_pair_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_mut_loop_pair]: backward function 1 *) -let list_nth_shared_mut_loop_pair_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) - = - list_nth_shared_mut_loop_pair_loop_back t ls0 ls1 i ret - -(** [loops::list_nth_shared_mut_loop_pair_merge]: decreases clause *) -unfold -let list_nth_shared_mut_loop_pair_merge_loop_decreases (t : Type0) - (ls0 : list_t t) (ls1 : list_t t) (i : u32) : nat = - admit () - -(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_shared_mut_loop_pair_merge_loop - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else - let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_mut_loop_pair_merge]: forward function *) -let list_nth_shared_mut_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_mut_loop_pair_merge_loop t ls0 ls1 i - -(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: backward function 0 *) -let rec list_nth_shared_mut_loop_pair_merge_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl1) - else - let* i0 = u32_sub i 1 in - let* tl10 = - list_nth_shared_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 *) -let list_nth_shared_mut_loop_pair_merge_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) - = - list_nth_shared_mut_loop_pair_merge_loop_back t ls0 ls1 i ret - diff --git a/tests/fstar/misc/Primitives.fst b/tests/fstar/misc/Primitives.fst index 71d75c11..3297803c 100644 --- a/tests/fstar/misc/Primitives.fst +++ b/tests/fstar/misc/Primitives.fst @@ -427,7 +427,7 @@ let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v // Helper -let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result a = +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = if i < length v then Return (index v i) else Fail Failure // Helper let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = @@ -704,6 +704,22 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) (*** Theorems *) +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)] + = + admit() + let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : Lemma ( alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x == |