diff options
Diffstat (limited to 'tests/coq/hashmap_main')
| -rw-r--r-- | tests/coq/hashmap_main/HashmapMain_Funs.v | 589 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/HashmapMain_FunsExternal.v | 24 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/HashmapMain_FunsExternal_Template.v | 26 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/HashmapMain_Types.v | 40 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/HashmapMain_TypesExternal.v | 14 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/HashmapMain_TypesExternal_Template.v | 15 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/Makefile | 23 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/Primitives.v | 981 | ||||
| -rw-r--r-- | tests/coq/hashmap_main/_CoqProject | 12 |
9 files changed, 1724 insertions, 0 deletions
diff --git a/tests/coq/hashmap_main/HashmapMain_Funs.v b/tests/coq/hashmap_main/HashmapMain_Funs.v new file mode 100644 index 00000000..f6467d5a --- /dev/null +++ b/tests/coq/hashmap_main/HashmapMain_Funs.v @@ -0,0 +1,589 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: function definitions *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import HashmapMain_Types. +Include HashmapMain_Types. +Require Import HashmapMain_FunsExternal. +Include HashmapMain_FunsExternal. +Module HashmapMain_Funs. + +(** [hashmap_main::hashmap::hash_key]: + Source: 'tests/src/hashmap.rs', lines 35:0-35:32 *) +Definition hashmap_hash_key (k : usize) : result usize := + Ok k. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: + Source: 'tests/src/hashmap.rs', lines 58:4-64:5 *) +Fixpoint hashmap_HashMap_allocate_slots_loop + (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (n1 : usize) + : + result (alloc_vec_Vec (hashmap_List_t T)) + := + match n with + | O => Fail_ OutOfFuel + | S n2 => + if n1 s> 0%usize + then ( + slots1 <- alloc_vec_Vec_push (hashmap_List_t T) slots Hashmap_List_Nil; + n3 <- usize_sub n1 1%usize; + hashmap_HashMap_allocate_slots_loop T n2 slots1 n3) + else Ok slots + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: + Source: 'tests/src/hashmap.rs', lines 58:4-58:76 *) +Definition hashmap_HashMap_allocate_slots + (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (n1 : usize) + : + result (alloc_vec_Vec (hashmap_List_t T)) + := + hashmap_HashMap_allocate_slots_loop T n slots n1 +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: + Source: 'tests/src/hashmap.rs', lines 67:4-71:13 *) +Definition hashmap_HashMap_new_with_capacity + (T : Type) (n : nat) (capacity : usize) (max_load_dividend : usize) + (max_load_divisor : usize) : + result (hashmap_HashMap_t T) + := + slots <- + hashmap_HashMap_allocate_slots T n (alloc_vec_Vec_new (hashmap_List_t T)) + capacity; + i <- usize_mul capacity max_load_dividend; + i1 <- usize_div i max_load_divisor; + Ok + {| + hashmap_HashMap_num_entries := 0%usize; + hashmap_HashMap_max_load_factor := (max_load_dividend, max_load_divisor); + hashmap_HashMap_max_load := i1; + hashmap_HashMap_slots := slots + |} +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: + Source: 'tests/src/hashmap.rs', lines 83:4-83:24 *) +Definition hashmap_HashMap_new + (T : Type) (n : nat) : result (hashmap_HashMap_t T) := + hashmap_HashMap_new_with_capacity T n 32%usize 4%usize 5%usize +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: loop 0: + Source: 'tests/src/hashmap.rs', lines 88:4-96:5 *) +Fixpoint hashmap_HashMap_clear_loop + (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (i : usize) : + result (alloc_vec_Vec (hashmap_List_t T)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + let i1 := alloc_vec_Vec_len (hashmap_List_t T) slots in + if i s< i1 + then ( + p <- + alloc_vec_Vec_index_mut (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) slots + i; + let (_, index_mut_back) := p in + i2 <- usize_add i 1%usize; + slots1 <- index_mut_back Hashmap_List_Nil; + hashmap_HashMap_clear_loop T n1 slots1 i2) + else Ok slots + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: + Source: 'tests/src/hashmap.rs', lines 88:4-88:27 *) +Definition hashmap_HashMap_clear + (T : Type) (n : nat) (self : hashmap_HashMap_t T) : + result (hashmap_HashMap_t T) + := + hm <- hashmap_HashMap_clear_loop T n self.(hashmap_HashMap_slots) 0%usize; + Ok + {| + hashmap_HashMap_num_entries := 0%usize; + hashmap_HashMap_max_load_factor := self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := hm + |} +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: + Source: 'tests/src/hashmap.rs', lines 98:4-98:30 *) +Definition hashmap_HashMap_len + (T : Type) (self : hashmap_HashMap_t T) : result usize := + Ok self.(hashmap_HashMap_num_entries) +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: + Source: 'tests/src/hashmap.rs', lines 105:4-122:5 *) +Fixpoint hashmap_HashMap_insert_in_list_loop + (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : + result (bool * (hashmap_List_t T)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match ls with + | Hashmap_List_Cons ckey cvalue tl => + if ckey s= key + then Ok (false, Hashmap_List_Cons ckey value tl) + else ( + p <- hashmap_HashMap_insert_in_list_loop T n1 key value tl; + let (b, tl1) := p in + Ok (b, Hashmap_List_Cons ckey cvalue tl1)) + | Hashmap_List_Nil => + Ok (true, Hashmap_List_Cons key value Hashmap_List_Nil) + end + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: + Source: 'tests/src/hashmap.rs', lines 105:4-105:71 *) +Definition hashmap_HashMap_insert_in_list + (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : + result (bool * (hashmap_List_t T)) + := + hashmap_HashMap_insert_in_list_loop T n key value ls +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_no_resize]: + Source: 'tests/src/hashmap.rs', lines 125:4-125:54 *) +Definition hashmap_HashMap_insert_no_resize + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (value : T) : + result (hashmap_HashMap_t T) + := + hash <- hashmap_hash_key key; + let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in + hash_mod <- usize_rem hash i; + p <- + alloc_vec_Vec_index_mut (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + let (l, index_mut_back) := p in + p1 <- hashmap_HashMap_insert_in_list T n key value l; + let (inserted, l1) := p1 in + if inserted + then ( + i1 <- usize_add self.(hashmap_HashMap_num_entries) 1%usize; + v <- index_mut_back l1; + Ok + {| + hashmap_HashMap_num_entries := i1; + hashmap_HashMap_max_load_factor := + self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := v + |}) + else ( + v <- index_mut_back l1; + Ok + {| + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := + self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := v + |}) +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: loop 0: + Source: 'tests/src/hashmap.rs', lines 191:4-204:5 *) +Fixpoint hashmap_HashMap_move_elements_from_list_loop + (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (ls : hashmap_List_t T) : + result (hashmap_HashMap_t T) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match ls with + | Hashmap_List_Cons k v tl => + ntable1 <- hashmap_HashMap_insert_no_resize T n1 ntable k v; + hashmap_HashMap_move_elements_from_list_loop T n1 ntable1 tl + | Hashmap_List_Nil => Ok ntable + end + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: + Source: 'tests/src/hashmap.rs', lines 191:4-191:72 *) +Definition hashmap_HashMap_move_elements_from_list + (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (ls : hashmap_List_t T) : + result (hashmap_HashMap_t T) + := + hashmap_HashMap_move_elements_from_list_loop T n ntable ls +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: loop 0: + Source: 'tests/src/hashmap.rs', lines 179:4-188:5 *) +Fixpoint hashmap_HashMap_move_elements_loop + (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) + (slots : alloc_vec_Vec (hashmap_List_t T)) (i : usize) : + result ((hashmap_HashMap_t T) * (alloc_vec_Vec (hashmap_List_t T))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + let i1 := alloc_vec_Vec_len (hashmap_List_t T) slots in + if i s< i1 + then ( + p <- + alloc_vec_Vec_index_mut (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) slots + i; + let (l, index_mut_back) := p in + let (ls, l1) := core_mem_replace (hashmap_List_t T) l Hashmap_List_Nil in + ntable1 <- hashmap_HashMap_move_elements_from_list T n1 ntable ls; + i2 <- usize_add i 1%usize; + slots1 <- index_mut_back l1; + hashmap_HashMap_move_elements_loop T n1 ntable1 slots1 i2) + else Ok (ntable, slots) + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: + Source: 'tests/src/hashmap.rs', lines 179:4-179:95 *) +Definition hashmap_HashMap_move_elements + (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) + (slots : alloc_vec_Vec (hashmap_List_t T)) (i : usize) : + result ((hashmap_HashMap_t T) * (alloc_vec_Vec (hashmap_List_t T))) + := + hashmap_HashMap_move_elements_loop T n ntable slots i +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::try_resize]: + Source: 'tests/src/hashmap.rs', lines 148:4-148:28 *) +Definition hashmap_HashMap_try_resize + (T : Type) (n : nat) (self : hashmap_HashMap_t T) : + result (hashmap_HashMap_t T) + := + max_usize <- scalar_cast U32 Usize core_u32_max; + let capacity := + alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in + n1 <- usize_div max_usize 2%usize; + let (i, i1) := self.(hashmap_HashMap_max_load_factor) in + i2 <- usize_div n1 i; + if capacity s<= i2 + then ( + i3 <- usize_mul capacity 2%usize; + ntable <- hashmap_HashMap_new_with_capacity T n i3 i i1; + p <- + hashmap_HashMap_move_elements T n ntable self.(hashmap_HashMap_slots) + 0%usize; + let (ntable1, _) := p in + Ok + {| + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := (i, i1); + hashmap_HashMap_max_load := ntable1.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := ntable1.(hashmap_HashMap_slots) + |}) + else + Ok + {| + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := (i, i1); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := self.(hashmap_HashMap_slots) + |} +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: + Source: 'tests/src/hashmap.rs', lines 137:4-137:48 *) +Definition hashmap_HashMap_insert + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (value : T) : + result (hashmap_HashMap_t T) + := + self1 <- hashmap_HashMap_insert_no_resize T n self key value; + i <- hashmap_HashMap_len T self1; + if i s> self1.(hashmap_HashMap_max_load) + then hashmap_HashMap_try_resize T n self1 + else Ok self1 +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: loop 0: + Source: 'tests/src/hashmap.rs', lines 214:4-227:5 *) +Fixpoint hashmap_HashMap_contains_key_in_list_loop + (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result bool := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match ls with + | Hashmap_List_Cons ckey _ tl => + if ckey s= key + then Ok true + else hashmap_HashMap_contains_key_in_list_loop T n1 key tl + | Hashmap_List_Nil => Ok false + end + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: + Source: 'tests/src/hashmap.rs', lines 214:4-214:68 *) +Definition hashmap_HashMap_contains_key_in_list + (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result bool := + hashmap_HashMap_contains_key_in_list_loop T n key ls +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: + Source: 'tests/src/hashmap.rs', lines 207:4-207:49 *) +Definition hashmap_HashMap_contains_key + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : + result bool + := + hash <- hashmap_hash_key key; + let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in + hash_mod <- usize_rem hash i; + l <- + alloc_vec_Vec_index (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + hashmap_HashMap_contains_key_in_list T n key l +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: + Source: 'tests/src/hashmap.rs', lines 232:4-245:5 *) +Fixpoint hashmap_HashMap_get_in_list_loop + (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result T := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match ls with + | Hashmap_List_Cons ckey cvalue tl => + if ckey s= key + then Ok cvalue + else hashmap_HashMap_get_in_list_loop T n1 key tl + | Hashmap_List_Nil => Fail_ Failure + end + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: + Source: 'tests/src/hashmap.rs', lines 232:4-232:70 *) +Definition hashmap_HashMap_get_in_list + (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result T := + hashmap_HashMap_get_in_list_loop T n key ls +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: + Source: 'tests/src/hashmap.rs', lines 247:4-247:55 *) +Definition hashmap_HashMap_get + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : result T := + hash <- hashmap_hash_key key; + let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in + hash_mod <- usize_rem hash i; + l <- + alloc_vec_Vec_index (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + hashmap_HashMap_get_in_list T n key l +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: + Source: 'tests/src/hashmap.rs', lines 253:4-262:5 *) +Fixpoint hashmap_HashMap_get_mut_in_list_loop + (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) : + result (T * (T -> result (hashmap_List_t T))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match ls with + | Hashmap_List_Cons ckey cvalue tl => + if ckey s= key + then + let back := fun (ret : T) => Ok (Hashmap_List_Cons ckey ret tl) in + Ok (cvalue, back) + else ( + p <- hashmap_HashMap_get_mut_in_list_loop T n1 tl key; + let (t, back) := p in + let back1 := + fun (ret : T) => + tl1 <- back ret; Ok (Hashmap_List_Cons ckey cvalue tl1) in + Ok (t, back1)) + | Hashmap_List_Nil => Fail_ Failure + end + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: + Source: 'tests/src/hashmap.rs', lines 253:4-253:86 *) +Definition hashmap_HashMap_get_mut_in_list + (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) : + result (T * (T -> result (hashmap_List_t T))) + := + hashmap_HashMap_get_mut_in_list_loop T n ls key +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: + Source: 'tests/src/hashmap.rs', lines 265:4-265:67 *) +Definition hashmap_HashMap_get_mut + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : + result (T * (T -> result (hashmap_HashMap_t T))) + := + hash <- hashmap_hash_key key; + let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in + hash_mod <- usize_rem hash i; + p <- + alloc_vec_Vec_index_mut (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + let (l, index_mut_back) := p in + p1 <- hashmap_HashMap_get_mut_in_list T n l key; + let (t, get_mut_in_list_back) := p1 in + let back := + fun (ret : T) => + l1 <- get_mut_in_list_back ret; + v <- index_mut_back l1; + Ok + {| + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := + self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := v + |} in + Ok (t, back) +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: + Source: 'tests/src/hashmap.rs', lines 273:4-299:5 *) +Fixpoint hashmap_HashMap_remove_from_list_loop + (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : + result ((option T) * (hashmap_List_t T)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match ls with + | Hashmap_List_Cons ckey t tl => + if ckey s= key + then + let (mv_ls, _) := + core_mem_replace (hashmap_List_t T) (Hashmap_List_Cons ckey t tl) + Hashmap_List_Nil in + match mv_ls with + | Hashmap_List_Cons _ cvalue tl1 => Ok (Some cvalue, tl1) + | Hashmap_List_Nil => Fail_ Failure + end + else ( + p <- hashmap_HashMap_remove_from_list_loop T n1 key tl; + let (o, tl1) := p in + Ok (o, Hashmap_List_Cons ckey t tl1)) + | Hashmap_List_Nil => Ok (None, Hashmap_List_Nil) + end + end +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: + Source: 'tests/src/hashmap.rs', lines 273:4-273:69 *) +Definition hashmap_HashMap_remove_from_list + (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : + result ((option T) * (hashmap_List_t T)) + := + hashmap_HashMap_remove_from_list_loop T n key ls +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: + Source: 'tests/src/hashmap.rs', lines 302:4-302:52 *) +Definition hashmap_HashMap_remove + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : + result ((option T) * (hashmap_HashMap_t T)) + := + hash <- hashmap_hash_key key; + let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in + hash_mod <- usize_rem hash i; + p <- + alloc_vec_Vec_index_mut (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + let (l, index_mut_back) := p in + p1 <- hashmap_HashMap_remove_from_list T n key l; + let (x, l1) := p1 in + match x with + | None => + v <- index_mut_back l1; + Ok (None, + {| + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := + self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := v + |}) + | Some x1 => + i1 <- usize_sub self.(hashmap_HashMap_num_entries) 1%usize; + v <- index_mut_back l1; + Ok (Some x1, + {| + hashmap_HashMap_num_entries := i1; + hashmap_HashMap_max_load_factor := + self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := v + |}) + end +. + +(** [hashmap_main::hashmap::test1]: + Source: 'tests/src/hashmap.rs', lines 323:0-323:10 *) +Definition hashmap_test1 (n : nat) : result unit := + hm <- hashmap_HashMap_new u64 n; + hm1 <- hashmap_HashMap_insert u64 n hm 0%usize 42%u64; + hm2 <- hashmap_HashMap_insert u64 n hm1 128%usize 18%u64; + hm3 <- hashmap_HashMap_insert u64 n hm2 1024%usize 138%u64; + hm4 <- hashmap_HashMap_insert u64 n hm3 1056%usize 256%u64; + i <- hashmap_HashMap_get u64 n hm4 128%usize; + if negb (i s= 18%u64) + then Fail_ Failure + else ( + p <- hashmap_HashMap_get_mut u64 n hm4 1024%usize; + let (_, get_mut_back) := p in + hm5 <- get_mut_back 56%u64; + i1 <- hashmap_HashMap_get u64 n hm5 1024%usize; + if negb (i1 s= 56%u64) + then Fail_ Failure + else ( + p1 <- hashmap_HashMap_remove u64 n hm5 1024%usize; + let (x, hm6) := p1 in + match x with + | None => Fail_ Failure + | Some x1 => + if negb (x1 s= 56%u64) + then Fail_ Failure + else ( + i2 <- hashmap_HashMap_get u64 n hm6 0%usize; + if negb (i2 s= 42%u64) + then Fail_ Failure + else ( + i3 <- hashmap_HashMap_get u64 n hm6 128%usize; + if negb (i3 s= 18%u64) + then Fail_ Failure + else ( + i4 <- hashmap_HashMap_get u64 n hm6 1056%usize; + if negb (i4 s= 256%u64) then Fail_ Failure else Ok tt))) + end)) +. + +(** [hashmap_main::insert_on_disk]: + Source: 'tests/src/hashmap_main.rs', lines 13:0-13:43 *) +Definition insert_on_disk + (n : nat) (key : usize) (value : u64) (st : state) : result (state * unit) := + p <- hashmap_utils_deserialize st; + let (st1, hm) := p in + hm1 <- hashmap_HashMap_insert u64 n hm key value; + hashmap_utils_serialize hm1 st1 +. + +(** [hashmap_main::main]: + Source: 'tests/src/hashmap_main.rs', lines 22:0-22:13 *) +Definition main : result unit := + Ok tt. + +End HashmapMain_Funs. diff --git a/tests/coq/hashmap_main/HashmapMain_FunsExternal.v b/tests/coq/hashmap_main/HashmapMain_FunsExternal.v new file mode 100644 index 00000000..fb5f23cd --- /dev/null +++ b/tests/coq/hashmap_main/HashmapMain_FunsExternal.v @@ -0,0 +1,24 @@ +(** [hashmap_main]: external function declarations *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Export HashmapMain_Types. +Import HashmapMain_Types. +Module HashmapMain_FunsExternal. + +(** [hashmap_main::hashmap_utils::deserialize]: forward function + Source: 'src/hashmap_utils.rs', lines 10:0-10:43 *) +Axiom hashmap_utils_deserialize + : state -> result (state * (hashmap_HashMap_t u64)) +. + +(** [hashmap_main::hashmap_utils::serialize]: forward function + Source: 'src/hashmap_utils.rs', lines 5:0-5:42 *) +Axiom hashmap_utils_serialize + : hashmap_HashMap_t u64 -> state -> result (state * unit) +. + +End HashmapMain_FunsExternal. diff --git a/tests/coq/hashmap_main/HashmapMain_FunsExternal_Template.v b/tests/coq/hashmap_main/HashmapMain_FunsExternal_Template.v new file mode 100644 index 00000000..66835e8c --- /dev/null +++ b/tests/coq/hashmap_main/HashmapMain_FunsExternal_Template.v @@ -0,0 +1,26 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external functions. +-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import HashmapMain_Types. +Include HashmapMain_Types. +Module HashmapMain_FunsExternal_Template. + +(** [hashmap_main::hashmap_utils::deserialize]: + Source: 'tests/src/hashmap_utils.rs', lines 11:0-11:43 *) +Axiom hashmap_utils_deserialize + : state -> result (state * (hashmap_HashMap_t u64)) +. + +(** [hashmap_main::hashmap_utils::serialize]: + Source: 'tests/src/hashmap_utils.rs', lines 6:0-6:42 *) +Axiom hashmap_utils_serialize + : hashmap_HashMap_t u64 -> state -> result (state * unit) +. + +End HashmapMain_FunsExternal_Template. diff --git a/tests/coq/hashmap_main/HashmapMain_Types.v b/tests/coq/hashmap_main/HashmapMain_Types.v new file mode 100644 index 00000000..5656bd9c --- /dev/null +++ b/tests/coq/hashmap_main/HashmapMain_Types.v @@ -0,0 +1,40 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: type definitions *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import HashmapMain_TypesExternal. +Include HashmapMain_TypesExternal. +Module HashmapMain_Types. + +(** [hashmap_main::hashmap::List] + Source: 'tests/src/hashmap.rs', lines 27:0-27:16 *) +Inductive hashmap_List_t (T : Type) := +| Hashmap_List_Cons : usize -> T -> hashmap_List_t T -> hashmap_List_t T +| Hashmap_List_Nil : hashmap_List_t T +. + +Arguments Hashmap_List_Cons { _ }. +Arguments Hashmap_List_Nil { _ }. + +(** [hashmap_main::hashmap::HashMap] + Source: 'tests/src/hashmap.rs', lines 43:0-43:21 *) +Record hashmap_HashMap_t (T : Type) := +mkhashmap_HashMap_t { + hashmap_HashMap_num_entries : usize; + hashmap_HashMap_max_load_factor : (usize * usize); + hashmap_HashMap_max_load : usize; + hashmap_HashMap_slots : alloc_vec_Vec (hashmap_List_t T); +} +. + +Arguments mkhashmap_HashMap_t { _ }. +Arguments hashmap_HashMap_num_entries { _ }. +Arguments hashmap_HashMap_max_load_factor { _ }. +Arguments hashmap_HashMap_max_load { _ }. +Arguments hashmap_HashMap_slots { _ }. + +End HashmapMain_Types. diff --git a/tests/coq/hashmap_main/HashmapMain_TypesExternal.v b/tests/coq/hashmap_main/HashmapMain_TypesExternal.v new file mode 100644 index 00000000..28651c14 --- /dev/null +++ b/tests/coq/hashmap_main/HashmapMain_TypesExternal.v @@ -0,0 +1,14 @@ +(** [hashmap_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module HashmapMain_TypesExternal. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End HashmapMain_TypesExternal. diff --git a/tests/coq/hashmap_main/HashmapMain_TypesExternal_Template.v b/tests/coq/hashmap_main/HashmapMain_TypesExternal_Template.v new file mode 100644 index 00000000..391b2775 --- /dev/null +++ b/tests/coq/hashmap_main/HashmapMain_TypesExternal_Template.v @@ -0,0 +1,15 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module HashmapMain_TypesExternal_Template. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End HashmapMain_TypesExternal_Template. diff --git a/tests/coq/hashmap_main/Makefile b/tests/coq/hashmap_main/Makefile new file mode 100644 index 00000000..1a5aee4a --- /dev/null +++ b/tests/coq/hashmap_main/Makefile @@ -0,0 +1,23 @@ +# This file was automatically generated - modify ../Makefile.template instead +# Makefile originally taken from coq-club + +%: Makefile.coq phony + +make -f Makefile.coq $@ + +all: Makefile.coq + +make -f Makefile.coq all + +clean: Makefile.coq + +make -f Makefile.coq clean + rm -f Makefile.coq + +Makefile.coq: _CoqProject Makefile + coq_makefile -f _CoqProject | sed 's/$$(COQCHK) $$(COQCHKFLAGS) $$(COQLIBS)/$$(COQCHK) $$(COQCHKFLAGS) $$(subst -Q,-R,$$(COQLIBS))/' > Makefile.coq + +_CoqProject: ; + +Makefile: ; + +phony: ; + +.PHONY: all clean phony diff --git a/tests/coq/hashmap_main/Primitives.v b/tests/coq/hashmap_main/Primitives.v new file mode 100644 index 00000000..b29fce43 --- /dev/null +++ b/tests/coq/hashmap_main/Primitives.v @@ -0,0 +1,981 @@ +Require Import Lia. +Require Coq.Strings.Ascii. +Require Coq.Strings.String. +Require Import Coq.Program.Equality. +Require Import Coq.ZArith.ZArith. +Require Import Coq.ZArith.Znat. +Require Import List. +Import ListNotations. + +Module Primitives. + + (* TODO: use more *) +Declare Scope Primitives_scope. + +(*** Result *) + +Inductive error := + | Failure + | OutOfFuel. + +Inductive result A := + | Ok : A -> result A + | Fail_ : error -> result A. + +Arguments Ok {_} a. +Arguments Fail_ {_}. + +Definition bind {A B} (m: result A) (f: A -> result B) : result B := + match m with + | Fail_ e => Fail_ e + | Ok x => f x + end. + +Definition return_ {A: Type} (x: A) : result A := Ok x. +Definition fail_ {A: Type} (e: error) : result A := Fail_ e. + +Notation "x <- c1 ; c2" := (bind c1 (fun x => c2)) + (at level 61, c1 at next level, right associativity). + +(** Monadic assert *) +Definition massert (b: bool) : result unit := + if b then Ok tt else Fail_ Failure. + +(** Normalize and unwrap a successful result (used for globals) *) +Definition eval_result_refl {A} {x} (a: result A) (p: a = Ok x) : A := + match a as r return (r = Ok x -> A) with + | Ok a' => fun _ => a' + | Fail_ e => fun p' => + False_rect _ (eq_ind (Fail_ e) + (fun e : result A => + match e with + | Ok _ => False + | Fail_ e => True + end) + I (Ok x) p') + end p. + +Notation "x %global" := (eval_result_refl x eq_refl) (at level 40). +Notation "x %return" := (eval_result_refl x eq_refl) (at level 40). + +(* Sanity check *) +Check (if true then Ok (1 + 2) else Fail_ Failure)%global = 3. + +(*** Misc *) + +Definition string := Coq.Strings.String.string. +Definition char := Coq.Strings.Ascii.ascii. +Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. + +Definition core_mem_replace (a : Type) (x : a) (y : a) : a * a := (x, x) . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. + +(*** Scalars *) + +Definition i8_min : Z := -128%Z. +Definition i8_max : Z := 127%Z. +Definition i16_min : Z := -32768%Z. +Definition i16_max : Z := 32767%Z. +Definition i32_min : Z := -2147483648%Z. +Definition i32_max : Z := 2147483647%Z. +Definition i64_min : Z := -9223372036854775808%Z. +Definition i64_max : Z := 9223372036854775807%Z. +Definition i128_min : Z := -170141183460469231731687303715884105728%Z. +Definition i128_max : Z := 170141183460469231731687303715884105727%Z. +Definition u8_min : Z := 0%Z. +Definition u8_max : Z := 255%Z. +Definition u16_min : Z := 0%Z. +Definition u16_max : Z := 65535%Z. +Definition u32_min : Z := 0%Z. +Definition u32_max : Z := 4294967295%Z. +Definition u64_min : Z := 0%Z. +Definition u64_max : Z := 18446744073709551615%Z. +Definition u128_min : Z := 0%Z. +Definition u128_max : Z := 340282366920938463463374607431768211455%Z. + +(** The bounds of [isize] and [usize] vary with the architecture. *) +Axiom isize_min : Z. +Axiom isize_max : Z. +Definition usize_min : Z := 0%Z. +Axiom usize_max : Z. + +Open Scope Z_scope. + +(** We provide those lemmas to reason about the bounds of [isize] and [usize] *) +Axiom isize_min_bound : isize_min <= i32_min. +Axiom isize_max_bound : i32_max <= isize_max. +Axiom usize_max_bound : u32_max <= usize_max. + +Inductive scalar_ty := + | Isize + | I8 + | I16 + | I32 + | I64 + | I128 + | Usize + | U8 + | U16 + | U32 + | U64 + | U128 +. + +Definition scalar_min (ty: scalar_ty) : Z := + match ty with + | Isize => isize_min + | I8 => i8_min + | I16 => i16_min + | I32 => i32_min + | I64 => i64_min + | I128 => i128_min + | Usize => usize_min + | U8 => u8_min + | U16 => u16_min + | U32 => u32_min + | U64 => u64_min + | U128 => u128_min +end. + +Definition scalar_max (ty: scalar_ty) : Z := + match ty with + | Isize => isize_max + | I8 => i8_max + | I16 => i16_max + | I32 => i32_max + | I64 => i64_max + | I128 => i128_max + | Usize => usize_max + | U8 => u8_max + | U16 => u16_max + | U32 => u32_max + | U64 => u64_max + | U128 => u128_max +end. + +(** We use the following conservative bounds to make sure we can compute bound + checks in most situations *) +Definition scalar_min_cons (ty: scalar_ty) : Z := + match ty with + | Isize => i32_min + | Usize => u32_min + | _ => scalar_min ty +end. + +Definition scalar_max_cons (ty: scalar_ty) : Z := + match ty with + | Isize => i32_max + | Usize => u32_max + | _ => scalar_max ty +end. + +Lemma scalar_min_cons_valid : forall ty, scalar_min ty <= scalar_min_cons ty . +Proof. + destruct ty; unfold scalar_min_cons, scalar_min; try lia. + - pose isize_min_bound; lia. + - apply Z.le_refl. +Qed. + +Lemma scalar_max_cons_valid : forall ty, scalar_max ty >= scalar_max_cons ty . +Proof. + destruct ty; unfold scalar_max_cons, scalar_max; try lia. + - pose isize_max_bound; lia. + - pose usize_max_bound. lia. +Qed. + +Definition scalar (ty: scalar_ty) : Type := + { x: Z | scalar_min ty <= x <= scalar_max ty }. + +Definition to_Z {ty} (x: scalar ty) : Z := proj1_sig x. + +(** Bounds checks: we start by using the conservative bounds, to make sure we + can compute in most situations, then we use the real bounds (for [isize] + and [usize]). *) +Definition scalar_ge_min (ty: scalar_ty) (x: Z) : bool := + Z.leb (scalar_min_cons ty) x || Z.leb (scalar_min ty) x. + +Definition scalar_le_max (ty: scalar_ty) (x: Z) : bool := + Z.leb x (scalar_max_cons ty) || Z.leb x (scalar_max ty). + +Lemma scalar_ge_min_valid (ty: scalar_ty) (x: Z) : + scalar_ge_min ty x = true -> scalar_min ty <= x . +Proof. + unfold scalar_ge_min. + pose (scalar_min_cons_valid ty). + lia. +Qed. + +Lemma scalar_le_max_valid (ty: scalar_ty) (x: Z) : + scalar_le_max ty x = true -> x <= scalar_max ty . +Proof. + unfold scalar_le_max. + pose (scalar_max_cons_valid ty). + lia. +Qed. + +Definition scalar_in_bounds (ty: scalar_ty) (x: Z) : bool := + scalar_ge_min ty x && scalar_le_max ty x . + +Lemma scalar_in_bounds_valid (ty: scalar_ty) (x: Z) : + scalar_in_bounds ty x = true -> scalar_min ty <= x <= scalar_max ty . +Proof. + unfold scalar_in_bounds. + intros H. + destruct (scalar_ge_min ty x) eqn:Hmin. + - destruct (scalar_le_max ty x) eqn:Hmax. + + pose (scalar_ge_min_valid ty x Hmin). + pose (scalar_le_max_valid ty x Hmax). + lia. + + inversion H. + - inversion H. +Qed. + +Import Sumbool. + +Definition mk_scalar (ty: scalar_ty) (x: Z) : result (scalar ty) := + match sumbool_of_bool (scalar_in_bounds ty x) with + | left H => Ok (exist _ x (scalar_in_bounds_valid _ _ H)) + | right _ => Fail_ Failure + end. + +Definition scalar_add {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (to_Z x + to_Z y). + +Definition scalar_sub {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (to_Z x - to_Z y). + +Definition scalar_mul {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (to_Z x * to_Z y). + +Definition scalar_div {ty} (x y: scalar ty) : result (scalar ty) := + if to_Z y =? 0 then Fail_ Failure else + mk_scalar ty (to_Z x / to_Z y). + +Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (Z.rem (to_Z x) (to_Z y)). + +Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). + +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +(* TODO: check the semantics of casts in Rust *) +Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := + mk_scalar tgt_ty (to_Z x). + +(* This can't fail, but for now we make all casts faillible (easier for the translation) *) +Definition scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) := + mk_scalar tgt_ty (if x then 1 else 0). + +(** Comparisons *) +Definition scalar_leb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.leb (to_Z x) (to_Z y) . + +Definition scalar_ltb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.ltb (to_Z x) (to_Z y) . + +Definition scalar_geb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.geb (to_Z x) (to_Z y) . + +Definition scalar_gtb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.gtb (to_Z x) (to_Z y) . + +Definition scalar_eqb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.eqb (to_Z x) (to_Z y) . + +Definition scalar_neqb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + negb (Z.eqb (to_Z x) (to_Z y)) . + + +(** The scalar types *) +Definition isize := scalar Isize. +Definition i8 := scalar I8. +Definition i16 := scalar I16. +Definition i32 := scalar I32. +Definition i64 := scalar I64. +Definition i128 := scalar I128. +Definition usize := scalar Usize. +Definition u8 := scalar U8. +Definition u16 := scalar U16. +Definition u32 := scalar U32. +Definition u64 := scalar U64. +Definition u128 := scalar U128. + +(** Negaion *) +Definition isize_neg := @scalar_neg Isize. +Definition i8_neg := @scalar_neg I8. +Definition i16_neg := @scalar_neg I16. +Definition i32_neg := @scalar_neg I32. +Definition i64_neg := @scalar_neg I64. +Definition i128_neg := @scalar_neg I128. + +(** Division *) +Definition isize_div := @scalar_div Isize. +Definition i8_div := @scalar_div I8. +Definition i16_div := @scalar_div I16. +Definition i32_div := @scalar_div I32. +Definition i64_div := @scalar_div I64. +Definition i128_div := @scalar_div I128. +Definition usize_div := @scalar_div Usize. +Definition u8_div := @scalar_div U8. +Definition u16_div := @scalar_div U16. +Definition u32_div := @scalar_div U32. +Definition u64_div := @scalar_div U64. +Definition u128_div := @scalar_div U128. + +(** Remainder *) +Definition isize_rem := @scalar_rem Isize. +Definition i8_rem := @scalar_rem I8. +Definition i16_rem := @scalar_rem I16. +Definition i32_rem := @scalar_rem I32. +Definition i64_rem := @scalar_rem I64. +Definition i128_rem := @scalar_rem I128. +Definition usize_rem := @scalar_rem Usize. +Definition u8_rem := @scalar_rem U8. +Definition u16_rem := @scalar_rem U16. +Definition u32_rem := @scalar_rem U32. +Definition u64_rem := @scalar_rem U64. +Definition u128_rem := @scalar_rem U128. + +(** Addition *) +Definition isize_add := @scalar_add Isize. +Definition i8_add := @scalar_add I8. +Definition i16_add := @scalar_add I16. +Definition i32_add := @scalar_add I32. +Definition i64_add := @scalar_add I64. +Definition i128_add := @scalar_add I128. +Definition usize_add := @scalar_add Usize. +Definition u8_add := @scalar_add U8. +Definition u16_add := @scalar_add U16. +Definition u32_add := @scalar_add U32. +Definition u64_add := @scalar_add U64. +Definition u128_add := @scalar_add U128. + +(** Substraction *) +Definition isize_sub := @scalar_sub Isize. +Definition i8_sub := @scalar_sub I8. +Definition i16_sub := @scalar_sub I16. +Definition i32_sub := @scalar_sub I32. +Definition i64_sub := @scalar_sub I64. +Definition i128_sub := @scalar_sub I128. +Definition usize_sub := @scalar_sub Usize. +Definition u8_sub := @scalar_sub U8. +Definition u16_sub := @scalar_sub U16. +Definition u32_sub := @scalar_sub U32. +Definition u64_sub := @scalar_sub U64. +Definition u128_sub := @scalar_sub U128. + +(** Multiplication *) +Definition isize_mul := @scalar_mul Isize. +Definition i8_mul := @scalar_mul I8. +Definition i16_mul := @scalar_mul I16. +Definition i32_mul := @scalar_mul I32. +Definition i64_mul := @scalar_mul I64. +Definition i128_mul := @scalar_mul I128. +Definition usize_mul := @scalar_mul Usize. +Definition u8_mul := @scalar_mul U8. +Definition u16_mul := @scalar_mul U16. +Definition u32_mul := @scalar_mul U32. +Definition u64_mul := @scalar_mul U64. +Definition u128_mul := @scalar_mul U128. + +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + +(** Small utility *) +Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). + +(** Notations *) +Notation "x %isize" := ((mk_scalar Isize x)%return) (at level 9). +Notation "x %i8" := ((mk_scalar I8 x)%return) (at level 9). +Notation "x %i16" := ((mk_scalar I16 x)%return) (at level 9). +Notation "x %i32" := ((mk_scalar I32 x)%return) (at level 9). +Notation "x %i64" := ((mk_scalar I64 x)%return) (at level 9). +Notation "x %i128" := ((mk_scalar I128 x)%return) (at level 9). +Notation "x %usize" := ((mk_scalar Usize x)%return) (at level 9). +Notation "x %u8" := ((mk_scalar U8 x)%return) (at level 9). +Notation "x %u16" := ((mk_scalar U16 x)%return) (at level 9). +Notation "x %u32" := ((mk_scalar U32 x)%return) (at level 9). +Notation "x %u64" := ((mk_scalar U64 x)%return) (at level 9). +Notation "x %u128" := ((mk_scalar U128 x)%return) (at level 9). + +Notation "x s= y" := (scalar_eqb x y) (at level 80) : Primitives_scope. +Notation "x s<> y" := (scalar_neqb x y) (at level 80) : Primitives_scope. +Notation "x s<= y" := (scalar_leb x y) (at level 80) : Primitives_scope. +Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. +Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. +Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. + +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core *) + +(** Trait declaration: [core::clone::Clone] *) +Record core_clone_Clone (self : Type) := { + clone : self -> result self +}. + +Definition core_clone_impls_CloneBool_clone (b : bool) : bool := b. + +Definition core_clone_CloneBool : core_clone_Clone bool := {| + clone := fun b => Ok (core_clone_impls_CloneBool_clone b) +|}. + +Definition core_clone_impls_CloneUsize_clone (x : usize) : usize := x. +Definition core_clone_impls_CloneU8_clone (x : u8) : u8 := x. +Definition core_clone_impls_CloneU16_clone (x : u16) : u16 := x. +Definition core_clone_impls_CloneU32_clone (x : u32) : u32 := x. +Definition core_clone_impls_CloneU64_clone (x : u64) : u64 := x. +Definition core_clone_impls_CloneU128_clone (x : u128) : u128 := x. + +Definition core_clone_impls_CloneIsize_clone (x : isize) : isize := x. +Definition core_clone_impls_CloneI8_clone (x : i8) : i8 := x. +Definition core_clone_impls_CloneI16_clone (x : i16) : i16 := x. +Definition core_clone_impls_CloneI32_clone (x : i32) : i32 := x. +Definition core_clone_impls_CloneI64_clone (x : i64) : i64 := x. +Definition core_clone_impls_CloneI128_clone (x : i128) : i128 := x. + +Definition core_clone_CloneUsize : core_clone_Clone usize := {| + clone := fun x => Ok (core_clone_impls_CloneUsize_clone x) +|}. + +Definition core_clone_CloneU8 : core_clone_Clone u8 := {| + clone := fun x => Ok (core_clone_impls_CloneU8_clone x) +|}. + +Definition core_clone_CloneU16 : core_clone_Clone u16 := {| + clone := fun x => Ok (core_clone_impls_CloneU16_clone x) +|}. + +Definition core_clone_CloneU32 : core_clone_Clone u32 := {| + clone := fun x => Ok (core_clone_impls_CloneU32_clone x) +|}. + +Definition core_clone_CloneU64 : core_clone_Clone u64 := {| + clone := fun x => Ok (core_clone_impls_CloneU64_clone x) +|}. + +Definition core_clone_CloneU128 : core_clone_Clone u128 := {| + clone := fun x => Ok (core_clone_impls_CloneU128_clone x) +|}. + +Definition core_clone_CloneIsize : core_clone_Clone isize := {| + clone := fun x => Ok (core_clone_impls_CloneIsize_clone x) +|}. + +Definition core_clone_CloneI8 : core_clone_Clone i8 := {| + clone := fun x => Ok (core_clone_impls_CloneI8_clone x) +|}. + +Definition core_clone_CloneI16 : core_clone_Clone i16 := {| + clone := fun x => Ok (core_clone_impls_CloneI16_clone x) +|}. + +Definition core_clone_CloneI32 : core_clone_Clone i32 := {| + clone := fun x => Ok (core_clone_impls_CloneI32_clone x) +|}. + +Definition core_clone_CloneI64 : core_clone_Clone i64 := {| + clone := fun x => Ok (core_clone_impls_CloneI64_clone x) +|}. + +Definition core_clone_CloneI128 : core_clone_Clone i128 := {| + clone := fun x => Ok (core_clone_impls_CloneI128_clone x) +|}. + +(** [core::option::{core::option::Option<T>}::unwrap] *) +Definition core_option_Option_unwrap (T : Type) (x : option T) : result T := + match x with + | None => Fail_ Failure + | Some x => Ok x + end. + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +Arguments core_ops_index_Index_index {_ _}. + +(* Trait declaration: [core::ops::index::IndexMut] *) +Record core_ops_index_IndexMut (Self Idx : Type) := mk_core_ops_index_IndexMut { + core_ops_index_IndexMut_indexInst : core_ops_index_Index Self Idx; + core_ops_index_IndexMut_index_mut : + Self -> + Idx -> + result (core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output) * + (core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output) -> result Self)); +}. +Arguments mk_core_ops_index_IndexMut {_ _}. +Arguments core_ops_index_IndexMut_indexInst {_ _}. +Arguments core_ops_index_IndexMut_index_mut {_ _}. + +(* Trait declaration [core::ops::deref::Deref] *) +Record core_ops_deref_Deref (Self : Type) := mk_core_ops_deref_Deref { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; +}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +Arguments core_ops_deref_Deref_deref {_}. + +(* Trait declaration [core::ops::deref::DerefMut] *) +Record core_ops_deref_DerefMut (Self : Type) := mk_core_ops_deref_DerefMut { + core_ops_deref_DerefMut_derefInst : core_ops_deref_Deref Self; + core_ops_deref_DerefMut_deref_mut : + Self -> + result (core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target) * + (core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target) -> result Self)); +}. +Arguments mk_core_ops_deref_DerefMut {_}. +Arguments core_ops_deref_DerefMut_derefInst {_}. +Arguments core_ops_deref_DerefMut_deref_mut {_}. + +Record core_ops_range_Range (T : Type) := mk_core_ops_range_Range { + core_ops_range_Range_start : T; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +Arguments core_ops_range_Range_end_ {_}. + +(*** [alloc] *) + +Definition alloc_boxed_Box_deref (T : Type) (x : T) : result T := Ok x. +Definition alloc_boxed_Box_deref_mut (T : Type) (x : T) : result (T * (T -> result T)) := + Ok (x, fun x => Ok x). + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefMutInst (Self : Type) : core_ops_deref_DerefMut Self := {| + core_ops_deref_DerefMut_derefInst := alloc_boxed_Box_coreopsDerefInst Self; + core_ops_deref_DerefMut_deref_mut := alloc_boxed_Box_deref_mut Self; +|}. + + +(*** Arrays *) +Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. + +Lemma le_0_usize_max : 0 <= usize_max. +Proof. + pose (H := usize_max_bound). + unfold u32_max in H. + lia. +Qed. + +Lemma eqb_imp_eq (x y : Z) : Z.eqb x y = true -> x = y. +Proof. + lia. +Qed. + +(* TODO: finish the definitions *) +Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. + +(* For initialization *) +Axiom array_repeat : forall (T : Type) (n : usize) (x : T), array T n. + +Axiom array_index_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. +Axiom array_update_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). + +Definition array_index_mut_usize (T : Type) (n : usize) (a : array T n) (i : usize) : + result (T * (T -> result (array T n))) := + match array_index_usize T n a i with + | Fail_ e => Fail_ e + | Ok x => Ok (x, array_update_usize T n a i) + end. + +(*** Slice *) +Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. + +Axiom slice_len : forall (T : Type) (s : slice T), usize. +Axiom slice_index_usize : forall (T : Type) (x : slice T) (i : usize), result T. +Axiom slice_update_usize : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). + +Definition slice_index_mut_usize (T : Type) (s : slice T) (i : usize) : + result (T * (T -> result (slice T))) := + match slice_index_usize T s i with + | Fail_ e => Fail_ e + | Ok x => Ok (x, slice_update_usize T s i) + end. + +(*** Subslices *) + +Axiom array_to_slice : forall (T : Type) (n : usize) (x : array T n), result (slice T). +Axiom array_from_slice : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). + +Definition array_to_slice_mut (T : Type) (n : usize) (a : array T n) : + result (slice T * (slice T -> result (array T n))) := + match array_to_slice T n a with + | Fail_ e => Fail_ e + | Ok x => Ok (x, array_from_slice T n a) + end. + +Axiom array_subslice: forall (T : Type) (n : usize) (x : array T n) (r : core_ops_range_Range usize), result (slice T). +Axiom array_update_subslice: forall (T : Type) (n : usize) (x : array T n) (r : core_ops_range_Range usize) (ns : slice T), result (array T n). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). + +(*** Vectors *) + +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. + +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. + +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). + +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). + +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. +Proof. + unfold alloc_vec_Vec_length, usize_min. + split. + - lia. + - apply (proj2_sig v). +Qed. + +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). + +Fixpoint list_update {A} (l: list A) (n: nat) (a: A) + : list A := + match l with + | [] => [] + | x :: t => match n with + | 0%nat => a :: t + | S m => x :: (list_update t m a) +end end. + +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; + match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with + | left H => Ok (exist _ l (scalar_le_max_valid _ _ H)) + | right _ => Fail_ Failure + end. + +Definition alloc_vec_Vec_push (T: Type) (v: alloc_vec_Vec T) (x: T) : result (alloc_vec_Vec T) := + alloc_vec_Vec_bind v (fun l => Ok (l ++ [x])). + +Definition alloc_vec_Vec_insert (T: Type) (v: alloc_vec_Vec T) (i: usize) (x: T) : result (alloc_vec_Vec T) := + alloc_vec_Vec_bind v (fun l => + if to_Z i <? Z.of_nat (length l) + then Ok (list_update l (usize_to_nat i) x) + else Fail_ Failure). + +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +Definition alloc_vec_Vec_index_mut_usize {T : Type} (v: alloc_vec_Vec T) (i: usize) : + result (T * (T -> result (alloc_vec_Vec T))) := + match alloc_vec_Vec_index_usize v i with + | Ok x => + Ok (x, alloc_vec_Vec_update_usize v i) + | Fail_ e => Fail_ e + end. + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + core_slice_index_SliceIndex_sealedInst : core_slice_index_private_slice_index_Sealed Self; + core_slice_index_SliceIndex_Output : Type; + core_slice_index_SliceIndex_get : Self -> T -> result (option core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_get_mut : + Self -> T -> result (option core_slice_index_SliceIndex_Output * (option core_slice_index_SliceIndex_Output -> result T)); + core_slice_index_SliceIndex_get_unchecked : Self -> const_raw_ptr T -> result (const_raw_ptr core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_get_unchecked_mut : Self -> mut_raw_ptr T -> result (mut_raw_ptr core_slice_index_SliceIndex_Output); + core_slice_index_SliceIndex_index : Self -> T -> result core_slice_index_SliceIndex_Output; + core_slice_index_SliceIndex_index_mut : + Self -> T -> result (core_slice_index_SliceIndex_Output * (core_slice_index_SliceIndex_Output -> result T)); +}. +Arguments mk_core_slice_index_SliceIndex {_ _}. +Arguments core_slice_index_SliceIndex_sealedInst {_ _}. +Arguments core_slice_index_SliceIndex_Output {_ _}. +Arguments core_slice_index_SliceIndex_get {_ _}. +Arguments core_slice_index_SliceIndex_get_mut {_ _}. +Arguments core_slice_index_SliceIndex_get_unchecked {_ _}. +Arguments core_slice_index_SliceIndex_get_unchecked_mut {_ _}. +Arguments core_slice_index_SliceIndex_index {_ _}. +Arguments core_slice_index_SliceIndex_index_mut {_ _}. + +(* [core::slice::index::[T]::index]: forward function *) +Definition core_slice_index_Slice_index + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Ok x + end. + +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [core::slice::index::Range::get_mut]: forward function *) +Axiom core_slice_index_RangeUsize_get_mut : + forall (T : Type), + core_ops_range_Range usize -> slice T -> + result (option (slice T) * (option (slice T) -> result (slice T))). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + core_ops_range_Range usize -> const_raw_ptr (slice T) -> result (const_raw_ptr (slice T)) := + (* Don't know what the model should be - for now we always fail to make + sure code which uses it fails *) + fun _ _ => Fail_ Failure. + +(* [core::slice::index::Range::get_unchecked_mut]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + core_ops_range_Range usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr (slice T)) := + (* Don't know what the model should be - for now we always fail to make + sure code which uses it fails *) + fun _ _ => Fail_ Failure. + +(* [core::slice::index::Range::index]: forward function *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [core::slice::index::Range::index_mut]: forward function *) +Axiom core_slice_index_RangeUsize_index_mut : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T * (slice T -> result (slice T))). + +(* [core::slice::index::[T]::index_mut]: forward function *) +Axiom core_slice_index_Slice_index_mut : + forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)), + slice T -> Idx -> + result (inst.(core_slice_index_SliceIndex_Output) * + (inst.(core_slice_index_SliceIndex_Output) -> result (slice T))). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [core::array::[T; N]::index_mut]: forward function *) +Axiom core_array_Array_index_mut : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) + (a : array T N) (i : Idx), + result (inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output) * + (inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output) -> result (array T N))). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + core_slice_index_SliceIndex_Output := slice T; + core_slice_index_SliceIndex_get := core_slice_index_RangeUsize_get T; + core_slice_index_SliceIndex_get_mut := core_slice_index_RangeUsize_get_mut T; + core_slice_index_SliceIndex_get_unchecked := core_slice_index_RangeUsize_get_unchecked T; + core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_RangeUsize_get_unchecked_mut T; + core_slice_index_SliceIndex_index := core_slice_index_RangeUsize_index T; + core_slice_index_SliceIndex_index_mut := core_slice_index_RangeUsize_index_mut T; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_IndexMut (slice T) Idx := {| + core_ops_index_IndexMut_indexInst := core_ops_index_IndexSliceTIInst T Idx inst; + core_ops_index_IndexMut_index_mut := core_slice_index_Slice_index_mut T Idx inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + core_ops_index_IndexMut (array T N) Idx := {| + core_ops_index_IndexMut_indexInst := core_ops_index_IndexArrayInst T Idx N inst.(core_ops_index_IndexMut_indexInst); + core_ops_index_IndexMut_index_mut := core_array_Array_index_mut T Idx N inst; +|}. + +(* [core::slice::index::usize::get]: forward function *) +Axiom core_slice_index_usize_get : forall (T : Type), usize -> slice T -> result (option T). + +(* [core::slice::index::usize::get_mut]: forward function *) +Axiom core_slice_index_usize_get_mut : + forall (T : Type), usize -> slice T -> result (option T * (option T -> result (slice T))). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +Axiom core_slice_index_usize_index : forall (T : Type), usize -> slice T -> result T. + +(* [core::slice::index::usize::index_mut]: forward function *) +Axiom core_slice_index_usize_index_mut : + forall (T : Type), usize -> slice T -> result (T * (T -> result (slice T))). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + core_slice_index_SliceIndex_Output := T; + core_slice_index_SliceIndex_get := core_slice_index_usize_get T; + core_slice_index_SliceIndex_get_mut := core_slice_index_usize_get_mut T; + core_slice_index_SliceIndex_get_unchecked := core_slice_index_usize_get_unchecked T; + core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_usize_get_unchecked_mut T; + core_slice_index_SliceIndex_index := core_slice_index_usize_index T; + core_slice_index_SliceIndex_index_mut := core_slice_index_usize_index_mut T; +|}. + +(* [alloc::vec::Vec::index]: forward function *) +Axiom alloc_vec_Vec_index : forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (Self : alloc_vec_Vec T) (i : Idx), result inst.(core_slice_index_SliceIndex_Output). + +(* [alloc::vec::Vec::index_mut]: forward function *) +Axiom alloc_vec_Vec_index_mut : forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (Self : alloc_vec_Vec T) (i : Idx), + result (inst.(core_slice_index_SliceIndex_Output) * + (inst.(core_slice_index_SliceIndex_Output) -> result (alloc_vec_Vec T))). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_IndexMut (alloc_vec_Vec T) Idx := {| + core_ops_index_IndexMut_indexInst := alloc_vec_Vec_coreopsindexIndexInst T Idx inst; + core_ops_index_IndexMut_index_mut := alloc_vec_Vec_index_mut T Idx inst; +|}. + +(*** Theorems *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +Axiom alloc_vec_Vec_index_mut_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_mut_usize v i. + +End Primitives. diff --git a/tests/coq/hashmap_main/_CoqProject b/tests/coq/hashmap_main/_CoqProject new file mode 100644 index 00000000..d73541d9 --- /dev/null +++ b/tests/coq/hashmap_main/_CoqProject @@ -0,0 +1,12 @@ +# This file was automatically generated - see ../Makefile +-R . Lib +-arg -w +-arg all + +HashmapMain_Types.v +HashmapMain_FunsExternal_Template.v +Primitives.v +HashmapMain_Funs.v +HashmapMain_TypesExternal.v +HashmapMain_FunsExternal.v +HashmapMain_TypesExternal_Template.v |