diff options
author | Son Ho | 2023-01-05 23:11:26 +0100 |
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committer | Son HO | 2023-02-03 11:21:46 +0100 |
commit | efba91b5cc65d83c3f4d8a0d282eeda520abe82a (patch) | |
tree | 9af8c05626e89bf0f5abc94ff443b3f8194d6903 /tests/coq | |
parent | ace526e4d32d17ab73bcc2cdb3726cddcae8b1c4 (diff) |
Add more loop examples and fix issues
Diffstat (limited to '')
-rw-r--r-- | tests/coq/misc/Loops.v | 136 |
1 files changed, 136 insertions, 0 deletions
diff --git a/tests/coq/misc/Loops.v b/tests/coq/misc/Loops.v index 4fc68e1c..ec8fa39c 100644 --- a/tests/coq/misc/Loops.v +++ b/tests/coq/misc/Loops.v @@ -62,6 +62,29 @@ 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::clear] *) +Definition clear_loop_fwd_back + (n : nat) (v : vec u32) (i : usize) : result (vec u32) := + match n with + | O => Fail_ OutOfFuel + | S n0 => + let i0 := vec_len u32 v in + if i s< i0 + then ( + i1 <- usize_add i 1%usize; + v0 <- vec_index_mut_back u32 v i (0%u32); + v1 <- clear_loop_fwd n0 v0 i1; + let _ := v1 in + Return v0) + else Return v + end +. + +(** [loops::clear] *) +Definition clear_fwd_back (n : nat) (v : vec u32) : result (vec u32) := + v0 <- clear_loop_fwd n v (0%usize); let _ := v0 in Return v +. + (** [loops::List] *) Inductive List_t (T : Type) := | ListCons : T -> List_t T -> List_t T @@ -71,6 +94,25 @@ Inductive List_t (T : Type) := Arguments ListCons {T} _ _. Arguments ListNil {T}. +(** [loops::list_mem] *) +Fixpoint list_mem_loop_fwd + (n : nat) (i : u32) (ls : List_t u32) : result bool := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match ls with + | ListCons y tl => + if y s= i then Return true else list_mem_loop_fwd n0 i tl + | ListNil => Return false + end + end +. + +(** [loops::list_mem] *) +Definition list_mem_fwd (n : nat) (x : u32) (ls : List_t u32) : result bool := + list_mem_loop_fwd n x ls +. + (** [loops::list_nth_mut_loop] *) Fixpoint list_nth_mut_loop_loop_fwd (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := @@ -144,6 +186,100 @@ Definition list_nth_shared_loop_fwd list_nth_shared_loop_loop_fwd T n ls i . +(** [loops::id_mut] *) +Definition id_mut_fwd (T : Type) (ls : List_t T) : result (List_t T) := + Return ls +. + +(** [loops::id_mut] *) +Definition id_mut_back + (T : Type) (ls : List_t T) (ret : List_t T) : result (List_t T) := + Return ret +. + +(** [loops::id_shared] *) +Definition id_shared_fwd (T : Type) (ls : List_t T) : result (List_t T) := + Return ls +. + +(** [loops::list_nth_mut_loop_with_id] *) +Fixpoint list_nth_mut_loop_with_id_loop_fwd + (T : Type) (n : nat) (i : u32) (ls : List_t T) : 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_mut_loop_with_id_loop_fwd T n0 i0 tl) + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_mut_loop_with_id] *) +Definition list_nth_mut_loop_with_id_fwd + (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := + ls0 <- id_mut_fwd T ls; list_nth_mut_loop_with_id_loop_fwd T n i ls0 +. + +(** [loops::list_nth_mut_loop_with_id] *) +Fixpoint list_nth_mut_loop_with_id_loop_back + (T : Type) (n : nat) (i : u32) (ls : List_t T) (ret : T) : + result (List_t T) + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + match ls with + | ListCons x tl => + if i s= 0%u32 + then Return (ListCons ret tl) + else ( + i0 <- u32_sub i 1%u32; + l <- list_nth_mut_loop_with_id_loop_back T n0 i0 tl ret; + Return (ListCons x l)) + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_mut_loop_with_id] *) +Definition list_nth_mut_loop_with_id_back + (T : Type) (n : nat) (ls : List_t T) (i : u32) (ret : T) : + result (List_t T) + := + ls0 <- id_mut_fwd T ls; + l <- list_nth_mut_loop_with_id_loop_back T n i ls0 ret; + id_mut_back T ls l +. + +(** [loops::list_nth_shared_loop_with_id] *) +Fixpoint list_nth_shared_loop_with_id_loop_fwd + (T : Type) (n : nat) (l : List_t T) (i : u32) (ls : List_t T) : 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_with_id_loop_fwd T n0 l i0 tl) + | ListNil => Fail_ Failure + end + end +. + +(** [loops::list_nth_shared_loop_with_id] *) +Definition list_nth_shared_loop_with_id_fwd + (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := + ls0 <- id_shared_fwd T ls; list_nth_shared_loop_with_id_loop_fwd T n ls i ls0 +. + (** [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) : |