diff options
Diffstat (limited to 'tests/fstar/misc/Loops.Funs.fst')
-rw-r--r-- | tests/fstar/misc/Loops.Funs.fst | 356 |
1 files changed, 349 insertions, 7 deletions
diff --git a/tests/fstar/misc/Loops.Funs.fst b/tests/fstar/misc/Loops.Funs.fst index 05d1f70f..ee8e95d2 100644 --- a/tests/fstar/misc/Loops.Funs.fst +++ b/tests/fstar/misc/Loops.Funs.fst @@ -27,10 +27,10 @@ let rec sum_loop_fwd (** [loops::sum] *) let sum_fwd (max : u32) : result u32 = sum_loop_fwd max 0 0 -(** [loops::sum_with_borrows] *) -let rec sum_with_borrows_loop_fwd +(** [loops::sum_with_mut_borrows] *) +let rec sum_with_mut_borrows_loop_fwd (max : u32) (mi : u32) (ms : u32) : - Tot (result u32) (decreases (sum_with_borrows_decreases max mi ms)) + Tot (result u32) (decreases (sum_with_mut_borrows_decreases max mi ms)) = if mi < max then @@ -39,14 +39,35 @@ let rec sum_with_borrows_loop_fwd | Return ms0 -> begin match u32_add mi 1 with | Fail e -> Fail e - | Return mi0 -> sum_with_borrows_loop_fwd max mi0 ms0 + | Return mi0 -> sum_with_mut_borrows_loop_fwd max mi0 ms0 end end else u32_mul ms 2 -(** [loops::sum_with_borrows] *) -let sum_with_borrows_fwd (max : u32) : result u32 = - sum_with_borrows_loop_fwd max 0 0 +(** [loops::sum_with_mut_borrows] *) +let sum_with_mut_borrows_fwd (max : u32) : result u32 = + sum_with_mut_borrows_loop_fwd max 0 0 + +(** [loops::sum_with_shared_borrows] *) +let rec sum_with_shared_borrows_loop_fwd + (max : u32) (i : u32) (s : u32) : + Tot (result u32) (decreases (sum_with_shared_borrows_decreases max i s)) + = + if i < max + then + begin match u32_add i 1 with + | Fail e -> Fail e + | Return i0 -> + begin match u32_add s i0 with + | Fail e -> Fail e + | Return s0 -> sum_with_shared_borrows_loop_fwd max i0 s0 + end + end + else u32_mul s 2 + +(** [loops::sum_with_shared_borrows] *) +let sum_with_shared_borrows_fwd (max : u32) : result u32 = + sum_with_shared_borrows_loop_fwd max 0 0 (** [loops::list_nth_mut_loop] *) let rec list_nth_mut_loop_loop_fwd @@ -95,6 +116,27 @@ 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] *) +let rec list_nth_shared_loop_loop_fwd + (t : Type0) (ls : list_t t) (i : u32) : + Tot (result t) (decreases (list_nth_shared_loop_decreases t ls i)) + = + begin match ls with + | ListCons x tl -> + if i = 0 + then Return x + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> list_nth_shared_loop_loop_fwd t tl i0 + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_loop] *) +let list_nth_shared_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t = + list_nth_shared_loop_loop_fwd t ls i + (** [loops::list_nth_mut_loop_pair] *) let rec list_nth_mut_loop_pair_loop_fwd (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : @@ -187,6 +229,33 @@ let list_nth_mut_loop_pair_back'b = list_nth_mut_loop_pair_loop_back'b t ls0 ls1 i ret +(** [loops::list_nth_shared_loop_pair] *) +let rec list_nth_shared_loop_pair_loop_fwd + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_loop_pair_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> list_nth_shared_loop_pair_loop_fwd t tl0 tl1 i0 + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_loop_pair] *) +let list_nth_shared_loop_pair_fwd + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_loop_pair_loop_fwd t ls0 ls1 i + (** [loops::list_nth_mut_loop_pair_merge] *) let rec list_nth_mut_loop_pair_merge_loop_fwd (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : @@ -248,3 +317,276 @@ let list_nth_mut_loop_pair_merge_back = list_nth_mut_loop_pair_merge_loop_back t ls0 ls1 i ret +(** [loops::list_nth_shared_loop_pair_merge] *) +let rec list_nth_shared_loop_pair_merge_loop_fwd + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_loop_pair_merge_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> list_nth_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0 + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_loop_pair_merge] *) +let list_nth_shared_loop_pair_merge_fwd + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_loop_pair_merge_loop_fwd t ls0 ls1 i + +(** [loops::list_nth_mut_shared_loop_pair] *) +let rec list_nth_mut_shared_loop_pair_loop_fwd + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_mut_shared_loop_pair_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> list_nth_mut_shared_loop_pair_loop_fwd t tl0 tl1 i0 + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair] *) +let list_nth_mut_shared_loop_pair_fwd + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_mut_shared_loop_pair_loop_fwd t ls0 ls1 i + +(** [loops::list_nth_mut_shared_loop_pair] *) +let rec list_nth_mut_shared_loop_pair_loop_back + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_shared_loop_pair_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (ListCons ret tl0) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> + begin match list_nth_mut_shared_loop_pair_loop_back t tl0 tl1 i0 ret + with + | Fail e -> Fail e + | Return l1 -> Return (ListCons x0 l1) + end + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair] *) +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] *) +let rec list_nth_mut_shared_loop_pair_merge_loop_fwd + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_mut_shared_loop_pair_merge_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> + list_nth_mut_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0 + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +let list_nth_mut_shared_loop_pair_merge_fwd + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_mut_shared_loop_pair_merge_loop_fwd t ls0 ls1 i + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +let rec list_nth_mut_shared_loop_pair_merge_loop_back + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_shared_loop_pair_merge_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (ListCons ret tl0) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> + begin match + list_nth_mut_shared_loop_pair_merge_loop_back t tl0 tl1 i0 ret with + | Fail e -> Fail e + | Return l1 -> Return (ListCons x0 l1) + end + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +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] *) +let rec list_nth_shared_mut_loop_pair_loop_fwd + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_mut_loop_pair_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> list_nth_shared_mut_loop_pair_loop_fwd t tl0 tl1 i0 + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair] *) +let list_nth_shared_mut_loop_pair_fwd + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_mut_loop_pair_loop_fwd t ls0 ls1 i + +(** [loops::list_nth_shared_mut_loop_pair] *) +let rec list_nth_shared_mut_loop_pair_loop_back + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_shared_mut_loop_pair_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (ListCons ret tl1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> + begin match list_nth_shared_mut_loop_pair_loop_back t tl0 tl1 i0 ret + with + | Fail e -> Fail e + | Return l1 -> Return (ListCons x1 l1) + end + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair] *) +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] *) +let rec list_nth_shared_mut_loop_pair_merge_loop_fwd + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_mut_loop_pair_merge_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> + list_nth_shared_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0 + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +let list_nth_shared_mut_loop_pair_merge_fwd + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_mut_loop_pair_merge_loop_fwd t ls0 ls1 i + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +let rec list_nth_shared_mut_loop_pair_merge_loop_back + (t : Type0) (l : list_t t) (l0 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_shared_mut_loop_pair_merge_decreases t l l0 i)) + = + begin match l with + | ListCons x0 tl0 -> + begin match l0 with + | ListCons x1 tl1 -> + if i = 0 + then Return (ListCons ret tl1) + else + begin match u32_sub i 1 with + | Fail e -> Fail e + | Return i0 -> + begin match + list_nth_shared_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret with + | Fail e -> Fail e + | Return l1 -> Return (ListCons x1 l1) + end + end + | ListNil -> Fail Failure + end + | ListNil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +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 + |