diff options
Diffstat (limited to '')
-rw-r--r-- | tests/coq/misc/Loops.v | 380 |
1 files changed, 374 insertions, 6 deletions
diff --git a/tests/coq/misc/Loops.v b/tests/coq/misc/Loops.v index 67ee0880..4fc68e1c 100644 --- a/tests/coq/misc/Loops.v +++ b/tests/coq/misc/Loops.v @@ -22,8 +22,8 @@ Definition sum_fwd (n : nat) (max : u32) : result u32 := sum_loop_fwd n max (0%u32) (0%u32) . -(** [loops::sum_with_borrows] *) -Fixpoint sum_with_borrows_loop_fwd +(** [loops::sum_with_mut_borrows] *) +Fixpoint sum_with_mut_borrows_loop_fwd (n : nat) (max : u32) (mi : u32) (ms : u32) : result u32 := match n with | O => Fail_ OutOfFuel @@ -32,14 +32,34 @@ Fixpoint sum_with_borrows_loop_fwd then ( ms0 <- u32_add ms mi; mi0 <- u32_add mi 1%u32; - sum_with_borrows_loop_fwd n0 max mi0 ms0) + sum_with_mut_borrows_loop_fwd n0 max mi0 ms0) else u32_mul ms 2%u32 end . -(** [loops::sum_with_borrows] *) -Definition sum_with_borrows_fwd (n : nat) (max : u32) : result u32 := - sum_with_borrows_loop_fwd n max (0%u32) (0%u32) +(** [loops::sum_with_mut_borrows] *) +Definition sum_with_mut_borrows_fwd (n : nat) (max : u32) : result u32 := + sum_with_mut_borrows_loop_fwd n max (0%u32) (0%u32) +. + +(** [loops::sum_with_shared_borrows] *) +Fixpoint sum_with_shared_borrows_loop_fwd + (n : nat) (max : u32) (i : u32) (s : u32) : result u32 := + match n with + | O => Fail_ OutOfFuel + | S n0 => + if i s< max + then ( + i0 <- u32_add i 1%u32; + s0 <- u32_add s i0; + sum_with_shared_borrows_loop_fwd n0 max i0 s0) + else u32_mul s 2%u32 + end +. + +(** [loops::sum_with_shared_borrows] *) +Definition sum_with_shared_borrows_fwd (n : nat) (max : u32) : result u32 := + sum_with_shared_borrows_loop_fwd n max (0%u32) (0%u32) . (** [loops::List] *) @@ -102,6 +122,28 @@ Definition list_nth_mut_loop_back list_nth_mut_loop_loop_back T n ls i ret . +(** [loops::list_nth_shared_loop] *) +Fixpoint list_nth_shared_loop_loop_fwd + (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match ls with + | ListCons x tl => + if i s= 0%u32 + then Return x + else (i0 <- u32_sub i 1%u32; list_nth_shared_loop_loop_fwd T n0 tl i0) + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_loop] *) +Definition list_nth_shared_loop_fwd + (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := + list_nth_shared_loop_loop_fwd T n ls i +. + (** [loops::list_nth_mut_loop_pair] *) Fixpoint list_nth_mut_loop_pair_loop_fwd (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : @@ -200,6 +242,38 @@ Definition list_nth_mut_loop_pair_back'b list_nth_mut_loop_pair_loop_back'b T n ls0 ls1 i ret . +(** [loops::list_nth_shared_loop_pair] *) +Fixpoint list_nth_shared_loop_pair_loop_fwd + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : + result (T * T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (x0, x1) + else ( + i0 <- u32_sub i 1%u32; + list_nth_shared_loop_pair_loop_fwd T n0 tl0 tl1 i0) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_loop_pair] *) +Definition list_nth_shared_loop_pair_fwd + (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : + result (T * T) + := + list_nth_shared_loop_pair_loop_fwd T n ls0 ls1 i +. + (** [loops::list_nth_mut_loop_pair_merge] *) Fixpoint list_nth_mut_loop_pair_merge_loop_fwd (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : @@ -268,4 +342,298 @@ Definition list_nth_mut_loop_pair_merge_back list_nth_mut_loop_pair_merge_loop_back T n ls0 ls1 i ret . +(** [loops::list_nth_shared_loop_pair_merge] *) +Fixpoint list_nth_shared_loop_pair_merge_loop_fwd + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : + result (T * T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (x0, x1) + else ( + i0 <- u32_sub i 1%u32; + list_nth_shared_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_loop_pair_merge] *) +Definition list_nth_shared_loop_pair_merge_fwd + (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : + result (T * T) + := + list_nth_shared_loop_pair_merge_loop_fwd T n ls0 ls1 i +. + +(** [loops::list_nth_mut_shared_loop_pair] *) +Fixpoint list_nth_mut_shared_loop_pair_loop_fwd + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : + result (T * T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (x0, x1) + else ( + i0 <- u32_sub i 1%u32; + list_nth_mut_shared_loop_pair_loop_fwd T n0 tl0 tl1 i0) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_mut_shared_loop_pair] *) +Definition list_nth_mut_shared_loop_pair_fwd + (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : + result (T * T) + := + list_nth_mut_shared_loop_pair_loop_fwd T n ls0 ls1 i +. + +(** [loops::list_nth_mut_shared_loop_pair] *) +Fixpoint list_nth_mut_shared_loop_pair_loop_back + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) (ret : T) : + result (List_t T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (ListCons ret tl0) + else ( + i0 <- u32_sub i 1%u32; + l1 <- list_nth_mut_shared_loop_pair_loop_back T n0 tl0 tl1 i0 ret; + Return (ListCons x0 l1)) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_mut_shared_loop_pair] *) +Definition list_nth_mut_shared_loop_pair_back + (T : Type) (n : nat) (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 n ls0 ls1 i ret +. + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +Fixpoint list_nth_mut_shared_loop_pair_merge_loop_fwd + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : + result (T * T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (x0, x1) + else ( + i0 <- u32_sub i 1%u32; + list_nth_mut_shared_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +Definition list_nth_mut_shared_loop_pair_merge_fwd + (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : + result (T * T) + := + list_nth_mut_shared_loop_pair_merge_loop_fwd T n ls0 ls1 i +. + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +Fixpoint list_nth_mut_shared_loop_pair_merge_loop_back + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) (ret : T) : + result (List_t T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (ListCons ret tl0) + else ( + i0 <- u32_sub i 1%u32; + l1 <- + list_nth_mut_shared_loop_pair_merge_loop_back T n0 tl0 tl1 i0 ret; + Return (ListCons x0 l1)) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_mut_shared_loop_pair_merge] *) +Definition list_nth_mut_shared_loop_pair_merge_back + (T : Type) (n : nat) (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 n ls0 ls1 i ret +. + +(** [loops::list_nth_shared_mut_loop_pair] *) +Fixpoint list_nth_shared_mut_loop_pair_loop_fwd + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : + result (T * T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (x0, x1) + else ( + i0 <- u32_sub i 1%u32; + list_nth_shared_mut_loop_pair_loop_fwd T n0 tl0 tl1 i0) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_mut_loop_pair] *) +Definition list_nth_shared_mut_loop_pair_fwd + (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : + result (T * T) + := + list_nth_shared_mut_loop_pair_loop_fwd T n ls0 ls1 i +. + +(** [loops::list_nth_shared_mut_loop_pair] *) +Fixpoint list_nth_shared_mut_loop_pair_loop_back + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) (ret : T) : + result (List_t T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (ListCons ret tl1) + else ( + i0 <- u32_sub i 1%u32; + l1 <- list_nth_shared_mut_loop_pair_loop_back T n0 tl0 tl1 i0 ret; + Return (ListCons x1 l1)) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_mut_loop_pair] *) +Definition list_nth_shared_mut_loop_pair_back + (T : Type) (n : nat) (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 n ls0 ls1 i ret +. + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +Fixpoint list_nth_shared_mut_loop_pair_merge_loop_fwd + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) : + result (T * T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (x0, x1) + else ( + i0 <- u32_sub i 1%u32; + list_nth_shared_mut_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +Definition list_nth_shared_mut_loop_pair_merge_fwd + (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : + result (T * T) + := + list_nth_shared_mut_loop_pair_merge_loop_fwd T n ls0 ls1 i +. + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +Fixpoint list_nth_shared_mut_loop_pair_merge_loop_back + (T : Type) (n : nat) (l : List_t T) (l0 : List_t T) (i : u32) (ret : T) : + result (List_t T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match l with + | ListCons x0 tl0 => + match l0 with + | ListCons x1 tl1 => + if i s= 0%u32 + then Return (ListCons ret tl1) + else ( + i0 <- u32_sub i 1%u32; + l1 <- + list_nth_shared_mut_loop_pair_merge_loop_back T n0 tl0 tl1 i0 ret; + Return (ListCons x1 l1)) + | ListNil => Fail_ Failure + end + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_mut_loop_pair_merge] *) +Definition list_nth_shared_mut_loop_pair_merge_back + (T : Type) (n : nat) (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 n ls0 ls1 i ret +. + End Loops . |