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-rw-r--r--tests/lean/hashmap_on_disk/HashmapMain/Clauses/Template.lean15
-rw-r--r--tests/lean/hashmap_on_disk/HashmapMain/Funs.lean445
-rw-r--r--tests/lean/hashmap_on_disk/HashmapMain/Opaque.lean4
-rw-r--r--tests/lean/hashmap_on_disk/HashmapMain/Types.lean4
4 files changed, 247 insertions, 221 deletions
diff --git a/tests/lean/hashmap_on_disk/HashmapMain/Clauses/Template.lean b/tests/lean/hashmap_on_disk/HashmapMain/Clauses/Template.lean
index 3466e7e0..a514c58a 100644
--- a/tests/lean/hashmap_on_disk/HashmapMain/Clauses/Template.lean
+++ b/tests/lean/hashmap_on_disk/HashmapMain/Clauses/Template.lean
@@ -6,7 +6,7 @@ import HashmapMain.Types
/- [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: termination measure -/
@[simp]
def hashmap_hash_map_allocate_slots_loop_terminates (T : Type)
- (slots : vec (hashmap_list_t T)) (n : USize) :=
+ (slots : Vec (hashmap_list_t T)) (n : USize) :=
(slots, n)
syntax "hashmap_hash_map_allocate_slots_loop_decreases" term+ : tactic
@@ -15,16 +15,17 @@ macro_rules
| `(tactic| hashmap_hash_map_allocate_slots_loop_decreases $slots $n) =>
`(tactic| sorry)
-/- [hashmap_main::hashmap::HashMap::{0}::clear]: termination measure -/
+/- [hashmap_main::hashmap::HashMap::{0}::clear_slots]: termination measure -/
@[simp]
-def hashmap_hash_map_clear_loop_terminates (T : Type)
- (slots : vec (hashmap_list_t T)) (i : USize) :=
+def hashmap_hash_map_clear_slots_loop_terminates (T : Type)
+ (slots : Vec (hashmap_list_t T)) (i : USize) :=
(slots, i)
-syntax "hashmap_hash_map_clear_loop_decreases" term+ : tactic
+syntax "hashmap_hash_map_clear_slots_loop_decreases" term+ : tactic
macro_rules
-| `(tactic| hashmap_hash_map_clear_loop_decreases $slots $i) =>`(tactic| sorry)
+| `(tactic| hashmap_hash_map_clear_slots_loop_decreases $slots $i) =>
+ `(tactic| sorry)
/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: termination measure -/
@[simp]
@@ -53,7 +54,7 @@ $ls) =>`(tactic| sorry)
/- [hashmap_main::hashmap::HashMap::{0}::move_elements]: termination measure -/
@[simp]
def hashmap_hash_map_move_elements_loop_terminates (T : Type)
- (ntable : hashmap_hash_map_t T) (slots : vec (hashmap_list_t T)) (i : USize)
+ (ntable : hashmap_hash_map_t T) (slots : Vec (hashmap_list_t T)) (i : USize)
:=
(ntable, slots, i)
diff --git a/tests/lean/hashmap_on_disk/HashmapMain/Funs.lean b/tests/lean/hashmap_on_disk/HashmapMain/Funs.lean
index 1abc9f8d..ee50f126 100644
--- a/tests/lean/hashmap_on_disk/HashmapMain/Funs.lean
+++ b/tests/lean/hashmap_on_disk/HashmapMain/Funs.lean
@@ -3,35 +3,35 @@
import Base.Primitives
import HashmapMain.Types
import HashmapMain.Opaque
-import HashmapMain.Clauses.Clauses
+import HashmapMain.Clauses.Template
section variable (opaque_defs: OpaqueDefs)
/- [hashmap_main::hashmap::hash_key] -/
-def hashmap_hash_key_fwd (k : USize) : result USize :=
- result.ret k
+def hashmap_hash_key_fwd (k : USize) : Result USize := Result.ret k
/- [hashmap_main::hashmap::HashMap::{0}::allocate_slots] -/
def hashmap_hash_map_allocate_slots_loop_fwd
- (T : Type) (slots : vec (hashmap_list_t T)) (n : USize) :
- (result (vec (hashmap_list_t T)))
+ (T : Type) (slots : Vec (hashmap_list_t T)) (n : USize) :
+ (Result (Vec (hashmap_list_t T)))
:=
if n > (USize.ofNatCore 0 (by intlit))
then
do
let slots0 <-
- vec_push_back (hashmap_list_t T) slots hashmap_list_t.HashmapListNil
- let n0 <- USize.checked_sub n (USize.ofNatCore 1 (by intlit))
+ vec_push_back (hashmap_list_t T) slots hashmap_list_t.HashmapListNil
+ let n0 <- USize.checked_sub n (USize.ofNatCore 1 (by intlit))
hashmap_hash_map_allocate_slots_loop_fwd T slots0 n0
- else result.ret slots
+ else Result.ret slots
termination_by hashmap_hash_map_allocate_slots_loop_fwd slots n =>
- hashmap_hash_map_allocate_slots_loop_terminates T slots n
+ hashmap_hash_map_allocate_slots_loop_terminates
+ T slots n
decreasing_by hashmap_hash_map_allocate_slots_loop_decreases slots n
/- [hashmap_main::hashmap::HashMap::{0}::allocate_slots] -/
def hashmap_hash_map_allocate_slots_fwd
- (T : Type) (slots : vec (hashmap_list_t T)) (n : USize) :
- result (vec (hashmap_list_t T))
+ (T : Type) (slots : Vec (hashmap_list_t T)) (n : USize) :
+ Result (Vec (hashmap_list_t T))
:=
hashmap_hash_map_allocate_slots_loop_fwd T slots n
@@ -39,14 +39,14 @@ def hashmap_hash_map_allocate_slots_fwd
def hashmap_hash_map_new_with_capacity_fwd
(T : Type) (capacity : USize) (max_load_dividend : USize)
(max_load_divisor : USize) :
- result (hashmap_hash_map_t T)
+ Result (hashmap_hash_map_t T)
:=
do
- let v := vec_new (hashmap_list_t T)
- let slots <- hashmap_hash_map_allocate_slots_fwd T v capacity
- let i <- USize.checked_mul capacity max_load_dividend
- let i0 <- USize.checked_div i max_load_divisor
- result.ret
+ let v := vec_new (hashmap_list_t T)
+ let slots <- hashmap_hash_map_allocate_slots_fwd T v capacity
+ let i <- USize.checked_mul capacity max_load_dividend
+ let i0 <- USize.checked_div i max_load_divisor
+ Result.ret
{
hashmap_hash_map_num_entries := (USize.ofNatCore 0 (by intlit)),
hashmap_hash_map_max_load_factor := (max_load_dividend,
@@ -56,37 +56,45 @@ def hashmap_hash_map_new_with_capacity_fwd
}
/- [hashmap_main::hashmap::HashMap::{0}::new] -/
-def hashmap_hash_map_new_fwd (T : Type) : result (hashmap_hash_map_t T) :=
+def hashmap_hash_map_new_fwd (T : Type) : Result (hashmap_hash_map_t T) :=
hashmap_hash_map_new_with_capacity_fwd T (USize.ofNatCore 32 (by intlit))
(USize.ofNatCore 4 (by intlit)) (USize.ofNatCore 5 (by intlit))
-/- [hashmap_main::hashmap::HashMap::{0}::clear] -/
-def hashmap_hash_map_clear_loop_fwd_back
- (T : Type) (slots : vec (hashmap_list_t T)) (i : USize) :
- (result (vec (hashmap_list_t T)))
+/- [hashmap_main::hashmap::HashMap::{0}::clear_slots] -/
+def hashmap_hash_map_clear_slots_loop_fwd_back
+ (T : Type) (slots : Vec (hashmap_list_t T)) (i : USize) :
+ (Result (Vec (hashmap_list_t T)))
:=
- let i0 := vec_len (hashmap_list_t T) slots
+ let i0 := vec_len (hashmap_list_t T) slots
if i < i0
then
do
- let i1 <- USize.checked_add i (USize.ofNatCore 1 (by intlit))
+ let i1 <- USize.checked_add i (USize.ofNatCore 1 (by intlit))
let slots0 <-
vec_index_mut_back (hashmap_list_t T) slots i
- hashmap_list_t.HashmapListNil
- hashmap_hash_map_clear_loop_fwd_back T slots0 i1
- else result.ret slots
-termination_by hashmap_hash_map_clear_loop_fwd_back slots i =>
- hashmap_hash_map_clear_loop_terminates T slots i
-decreasing_by hashmap_hash_map_clear_loop_decreases slots i
+ hashmap_list_t.HashmapListNil
+ hashmap_hash_map_clear_slots_loop_fwd_back T slots0 i1
+ else Result.ret slots
+termination_by hashmap_hash_map_clear_slots_loop_fwd_back slots i =>
+ hashmap_hash_map_clear_slots_loop_terminates
+ T slots i
+decreasing_by hashmap_hash_map_clear_slots_loop_decreases slots i
+
+/- [hashmap_main::hashmap::HashMap::{0}::clear_slots] -/
+def hashmap_hash_map_clear_slots_fwd_back
+ (T : Type) (slots : Vec (hashmap_list_t T)) :
+ Result (Vec (hashmap_list_t T))
+ :=
+ hashmap_hash_map_clear_slots_loop_fwd_back T slots
+ (USize.ofNatCore 0 (by intlit))
/- [hashmap_main::hashmap::HashMap::{0}::clear] -/
def hashmap_hash_map_clear_fwd_back
- (T : Type) (self : hashmap_hash_map_t T) : result (hashmap_hash_map_t T) :=
+ (T : Type) (self : hashmap_hash_map_t T) : Result (hashmap_hash_map_t T) :=
do
let v <-
- hashmap_hash_map_clear_loop_fwd_back T self.hashmap_hash_map_slots
- (USize.ofNatCore 0 (by intlit))
- result.ret
+ hashmap_hash_map_clear_slots_fwd_back T self.hashmap_hash_map_slots
+ Result.ret
{
hashmap_hash_map_num_entries := (USize.ofNatCore 0 (by intlit)),
hashmap_hash_map_max_load_factor := self.hashmap_hash_map_max_load_factor,
@@ -96,78 +104,80 @@ def hashmap_hash_map_clear_fwd_back
/- [hashmap_main::hashmap::HashMap::{0}::len] -/
def hashmap_hash_map_len_fwd
- (T : Type) (self : hashmap_hash_map_t T) : result USize :=
- result.ret self.hashmap_hash_map_num_entries
+ (T : Type) (self : hashmap_hash_map_t T) : Result USize :=
+ Result.ret self.hashmap_hash_map_num_entries
/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list] -/
def hashmap_hash_map_insert_in_list_loop_fwd
(T : Type) (key : USize) (value : T) (ls : hashmap_list_t T) :
- (result Bool)
+ (Result Bool)
:=
match ls with
| hashmap_list_t.HashmapListCons ckey cvalue tl =>
if ckey = key
- then result.ret false
+ then Result.ret false
else hashmap_hash_map_insert_in_list_loop_fwd T key value tl
- | hashmap_list_t.HashmapListNil => result.ret true
+ | hashmap_list_t.HashmapListNil => Result.ret true
+
termination_by hashmap_hash_map_insert_in_list_loop_fwd key value ls =>
- hashmap_hash_map_insert_in_list_loop_terminates T key value ls
+ hashmap_hash_map_insert_in_list_loop_terminates T key value ls
decreasing_by hashmap_hash_map_insert_in_list_loop_decreases key value ls
/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list] -/
def hashmap_hash_map_insert_in_list_fwd
- (T : Type) (key : USize) (value : T) (ls : hashmap_list_t T) : result Bool :=
+ (T : Type) (key : USize) (value : T) (ls : hashmap_list_t T) : Result Bool :=
hashmap_hash_map_insert_in_list_loop_fwd T key value ls
/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list] -/
def hashmap_hash_map_insert_in_list_loop_back
(T : Type) (key : USize) (value : T) (ls : hashmap_list_t T) :
- (result (hashmap_list_t T))
+ (Result (hashmap_list_t T))
:=
match ls with
| hashmap_list_t.HashmapListCons ckey cvalue tl =>
if ckey = key
- then result.ret (hashmap_list_t.HashmapListCons ckey value tl)
+ then Result.ret (hashmap_list_t.HashmapListCons ckey value tl)
else
do
- let tl0 <- hashmap_hash_map_insert_in_list_loop_back T key value tl
- result.ret (hashmap_list_t.HashmapListCons ckey cvalue tl0)
+ let tl0 <- hashmap_hash_map_insert_in_list_loop_back T key value tl
+ Result.ret (hashmap_list_t.HashmapListCons ckey cvalue tl0)
| hashmap_list_t.HashmapListNil =>
- let l := hashmap_list_t.HashmapListNil
- result.ret (hashmap_list_t.HashmapListCons key value l)
+ let l := hashmap_list_t.HashmapListNil
+ Result.ret (hashmap_list_t.HashmapListCons key value l)
+
termination_by hashmap_hash_map_insert_in_list_loop_back key value ls =>
- hashmap_hash_map_insert_in_list_loop_terminates T key value ls
+ hashmap_hash_map_insert_in_list_loop_terminates T key value ls
decreasing_by hashmap_hash_map_insert_in_list_loop_decreases key value ls
/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list] -/
def hashmap_hash_map_insert_in_list_back
(T : Type) (key : USize) (value : T) (ls : hashmap_list_t T) :
- result (hashmap_list_t T)
+ Result (hashmap_list_t T)
:=
hashmap_hash_map_insert_in_list_loop_back T key value ls
/- [hashmap_main::hashmap::HashMap::{0}::insert_no_resize] -/
def hashmap_hash_map_insert_no_resize_fwd_back
(T : Type) (self : hashmap_hash_map_t T) (key : USize) (value : T) :
- result (hashmap_hash_map_t T)
+ Result (hashmap_hash_map_t T)
:=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
- let inserted <- hashmap_hash_map_insert_in_list_fwd T key value l
+ vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ let inserted <- hashmap_hash_map_insert_in_list_fwd T key value l
if inserted
then
do
let i0 <- USize.checked_add self.hashmap_hash_map_num_entries
- (USize.ofNatCore 1 (by intlit))
- let l0 <- hashmap_hash_map_insert_in_list_back T key value l
+ (USize.ofNatCore 1 (by intlit))
+ let l0 <- hashmap_hash_map_insert_in_list_back T key value l
let v <-
vec_index_mut_back (hashmap_list_t T) self.hashmap_hash_map_slots
- hash_mod l0
- result.ret
+ hash_mod l0
+ Result.ret
{
hashmap_hash_map_num_entries := i0,
hashmap_hash_map_max_load_factor := self.hashmap_hash_map_max_load_factor,
@@ -176,11 +186,11 @@ def hashmap_hash_map_insert_no_resize_fwd_back
}
else
do
- let l0 <- hashmap_hash_map_insert_in_list_back T key value l
+ let l0 <- hashmap_hash_map_insert_in_list_back T key value l
let v <-
vec_index_mut_back (hashmap_list_t T) self.hashmap_hash_map_slots
- hash_mod l0
- result.ret
+ hash_mod l0
+ Result.ret
{
hashmap_hash_map_num_entries := self.hashmap_hash_map_num_entries,
hashmap_hash_map_max_load_factor := self.hashmap_hash_map_max_load_factor,
@@ -189,84 +199,85 @@ def hashmap_hash_map_insert_no_resize_fwd_back
}
/- [core::num::u32::{9}::MAX] -/
-def core_num_u32_max_body : result UInt32 :=
- result.ret (UInt32.ofNatCore 4294967295 (by intlit))
+def core_num_u32_max_body : Result UInt32 :=
+ Result.ret (UInt32.ofNatCore 4294967295 (by intlit))
def core_num_u32_max_c : UInt32 := eval_global core_num_u32_max_body (by simp)
/- [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list] -/
def hashmap_hash_map_move_elements_from_list_loop_fwd_back
(T : Type) (ntable : hashmap_hash_map_t T) (ls : hashmap_list_t T) :
- (result (hashmap_hash_map_t T))
+ (Result (hashmap_hash_map_t T))
:=
match ls with
| hashmap_list_t.HashmapListCons k v tl =>
do
- let ntable0 <- hashmap_hash_map_insert_no_resize_fwd_back T ntable k v
+ let ntable0 <- hashmap_hash_map_insert_no_resize_fwd_back T ntable k v
hashmap_hash_map_move_elements_from_list_loop_fwd_back T ntable0 tl
- | hashmap_list_t.HashmapListNil => result.ret ntable
+ | hashmap_list_t.HashmapListNil => Result.ret ntable
+
termination_by hashmap_hash_map_move_elements_from_list_loop_fwd_back ntable ls
- =>
- hashmap_hash_map_move_elements_from_list_loop_terminates T ntable ls
+ => hashmap_hash_map_move_elements_from_list_loop_terminates T
+ ntable ls
decreasing_by hashmap_hash_map_move_elements_from_list_loop_decreases ntable ls
/- [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list] -/
def hashmap_hash_map_move_elements_from_list_fwd_back
(T : Type) (ntable : hashmap_hash_map_t T) (ls : hashmap_list_t T) :
- result (hashmap_hash_map_t T)
+ Result (hashmap_hash_map_t T)
:=
hashmap_hash_map_move_elements_from_list_loop_fwd_back T ntable ls
/- [hashmap_main::hashmap::HashMap::{0}::move_elements] -/
def hashmap_hash_map_move_elements_loop_fwd_back
- (T : Type) (ntable : hashmap_hash_map_t T) (slots : vec (hashmap_list_t T))
+ (T : Type) (ntable : hashmap_hash_map_t T) (slots : Vec (hashmap_list_t T))
(i : USize) :
- (result ((hashmap_hash_map_t T) × (vec (hashmap_list_t T))))
+ (Result ((hashmap_hash_map_t T) × (Vec (hashmap_list_t T))))
:=
- let i0 := vec_len (hashmap_list_t T) slots
+ let i0 := vec_len (hashmap_list_t T) slots
if i < i0
then
do
- let l <- vec_index_mut_fwd (hashmap_list_t T) slots i
+ let l <- vec_index_mut_fwd (hashmap_list_t T) slots i
let ls :=
- mem_replace_fwd (hashmap_list_t T) l hashmap_list_t.HashmapListNil
+ mem_replace_fwd (hashmap_list_t T) l hashmap_list_t.HashmapListNil
let ntable0 <-
- hashmap_hash_map_move_elements_from_list_fwd_back T ntable ls
- let i1 <- USize.checked_add i (USize.ofNatCore 1 (by intlit))
+ hashmap_hash_map_move_elements_from_list_fwd_back T ntable ls
+ let i1 <- USize.checked_add i (USize.ofNatCore 1 (by intlit))
let l0 :=
- mem_replace_back (hashmap_list_t T) l hashmap_list_t.HashmapListNil
- let slots0 <- vec_index_mut_back (hashmap_list_t T) slots i l0
+ mem_replace_back (hashmap_list_t T) l hashmap_list_t.HashmapListNil
+ let slots0 <- vec_index_mut_back (hashmap_list_t T) slots i l0
hashmap_hash_map_move_elements_loop_fwd_back T ntable0 slots0 i1
- else result.ret (ntable, slots)
+ else Result.ret (ntable, slots)
termination_by hashmap_hash_map_move_elements_loop_fwd_back ntable slots i =>
- hashmap_hash_map_move_elements_loop_terminates T ntable slots i
+ hashmap_hash_map_move_elements_loop_terminates T ntable slots i
decreasing_by hashmap_hash_map_move_elements_loop_decreases ntable slots i
/- [hashmap_main::hashmap::HashMap::{0}::move_elements] -/
def hashmap_hash_map_move_elements_fwd_back
- (T : Type) (ntable : hashmap_hash_map_t T) (slots : vec (hashmap_list_t T))
+ (T : Type) (ntable : hashmap_hash_map_t T) (slots : Vec (hashmap_list_t T))
(i : USize) :
- result ((hashmap_hash_map_t T) × (vec (hashmap_list_t T)))
+ Result ((hashmap_hash_map_t T) × (Vec (hashmap_list_t T)))
:=
hashmap_hash_map_move_elements_loop_fwd_back T ntable slots i
/- [hashmap_main::hashmap::HashMap::{0}::try_resize] -/
def hashmap_hash_map_try_resize_fwd_back
- (T : Type) (self : hashmap_hash_map_t T) : result (hashmap_hash_map_t T) :=
+ (T : Type) (self : hashmap_hash_map_t T) : Result (hashmap_hash_map_t T) :=
do
- let max_usize <- scalar_cast USize core_num_u32_max_c
- let capacity := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let n1 <- USize.checked_div max_usize (USize.ofNatCore 2 (by intlit))
- let (i, i0) := self.hashmap_hash_map_max_load_factor
- let i1 <- USize.checked_div n1 i
+ let max_usize <- scalar_cast USize core_num_u32_max_c
+ let capacity := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let n1 <- USize.checked_div max_usize (USize.ofNatCore 2 (by intlit))
+ let (i, i0) := self.hashmap_hash_map_max_load_factor
+ let i1 <- USize.checked_div n1 i
if capacity <= i1
then
do
- let i2 <- USize.checked_mul capacity (USize.ofNatCore 2 (by intlit))
- let ntable <- hashmap_hash_map_new_with_capacity_fwd T i2 i i0
+ let i2 <- USize.checked_mul capacity (USize.ofNatCore 2 (by intlit))
+ let ntable <- hashmap_hash_map_new_with_capacity_fwd T i2 i i0
let (ntable0, _) <-
hashmap_hash_map_move_elements_fwd_back T ntable
- self.hashmap_hash_map_slots (USize.ofNatCore 0 (by intlit))
- result.ret
+ self.hashmap_hash_map_slots (USize.ofNatCore 0 (by intlit))
+ Result.ret
{
hashmap_hash_map_num_entries := self.hashmap_hash_map_num_entries,
hashmap_hash_map_max_load_factor := (i, i0),
@@ -274,7 +285,7 @@ def hashmap_hash_map_try_resize_fwd_back
hashmap_hash_map_slots := ntable0.hashmap_hash_map_slots
}
else
- result.ret
+ Result.ret
{
hashmap_hash_map_num_entries := self.hashmap_hash_map_num_entries,
hashmap_hash_map_max_load_factor := (i, i0),
@@ -285,143 +296,149 @@ def hashmap_hash_map_try_resize_fwd_back
/- [hashmap_main::hashmap::HashMap::{0}::insert] -/
def hashmap_hash_map_insert_fwd_back
(T : Type) (self : hashmap_hash_map_t T) (key : USize) (value : T) :
- result (hashmap_hash_map_t T)
+ Result (hashmap_hash_map_t T)
:=
do
- let self0 <- hashmap_hash_map_insert_no_resize_fwd_back T self key value
- let i <- hashmap_hash_map_len_fwd T self0
+ let self0 <- hashmap_hash_map_insert_no_resize_fwd_back T self key value
+ let i <- hashmap_hash_map_len_fwd T self0
if i > self0.hashmap_hash_map_max_load
then hashmap_hash_map_try_resize_fwd_back T self0
- else result.ret self0
+ else Result.ret self0
/- [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list] -/
def hashmap_hash_map_contains_key_in_list_loop_fwd
- (T : Type) (key : USize) (ls : hashmap_list_t T) : (result Bool) :=
+ (T : Type) (key : USize) (ls : hashmap_list_t T) : (Result Bool) :=
match ls with
| hashmap_list_t.HashmapListCons ckey t tl =>
if ckey = key
- then result.ret true
+ then Result.ret true
else hashmap_hash_map_contains_key_in_list_loop_fwd T key tl
- | hashmap_list_t.HashmapListNil => result.ret false
+ | hashmap_list_t.HashmapListNil => Result.ret false
+
termination_by hashmap_hash_map_contains_key_in_list_loop_fwd key ls =>
- hashmap_hash_map_contains_key_in_list_loop_terminates T key ls
+ hashmap_hash_map_contains_key_in_list_loop_terminates T key ls
decreasing_by hashmap_hash_map_contains_key_in_list_loop_decreases key ls
/- [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list] -/
def hashmap_hash_map_contains_key_in_list_fwd
- (T : Type) (key : USize) (ls : hashmap_list_t T) : result Bool :=
+ (T : Type) (key : USize) (ls : hashmap_list_t T) : Result Bool :=
hashmap_hash_map_contains_key_in_list_loop_fwd T key ls
/- [hashmap_main::hashmap::HashMap::{0}::contains_key] -/
def hashmap_hash_map_contains_key_fwd
- (T : Type) (self : hashmap_hash_map_t T) (key : USize) : result Bool :=
+ (T : Type) (self : hashmap_hash_map_t T) (key : USize) : Result Bool :=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ vec_index_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
hashmap_hash_map_contains_key_in_list_fwd T key l
/- [hashmap_main::hashmap::HashMap::{0}::get_in_list] -/
def hashmap_hash_map_get_in_list_loop_fwd
- (T : Type) (key : USize) (ls : hashmap_list_t T) : (result T) :=
+ (T : Type) (key : USize) (ls : hashmap_list_t T) : (Result T) :=
match ls with
| hashmap_list_t.HashmapListCons ckey cvalue tl =>
if ckey = key
- then result.ret cvalue
+ then Result.ret cvalue
else hashmap_hash_map_get_in_list_loop_fwd T key tl
- | hashmap_list_t.HashmapListNil => result.fail error.panic
+ | hashmap_list_t.HashmapListNil => Result.fail Error.panic
+
termination_by hashmap_hash_map_get_in_list_loop_fwd key ls =>
- hashmap_hash_map_get_in_list_loop_terminates T key ls
+ hashmap_hash_map_get_in_list_loop_terminates
+ T key ls
decreasing_by hashmap_hash_map_get_in_list_loop_decreases key ls
/- [hashmap_main::hashmap::HashMap::{0}::get_in_list] -/
def hashmap_hash_map_get_in_list_fwd
- (T : Type) (key : USize) (ls : hashmap_list_t T) : result T :=
+ (T : Type) (key : USize) (ls : hashmap_list_t T) : Result T :=
hashmap_hash_map_get_in_list_loop_fwd T key ls
/- [hashmap_main::hashmap::HashMap::{0}::get] -/
def hashmap_hash_map_get_fwd
- (T : Type) (self : hashmap_hash_map_t T) (key : USize) : result T :=
+ (T : Type) (self : hashmap_hash_map_t T) (key : USize) : Result T :=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ vec_index_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
hashmap_hash_map_get_in_list_fwd T key l
/- [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list] -/
def hashmap_hash_map_get_mut_in_list_loop_fwd
- (T : Type) (ls : hashmap_list_t T) (key : USize) : (result T) :=
+ (T : Type) (ls : hashmap_list_t T) (key : USize) : (Result T) :=
match ls with
| hashmap_list_t.HashmapListCons ckey cvalue tl =>
if ckey = key
- then result.ret cvalue
+ then Result.ret cvalue
else hashmap_hash_map_get_mut_in_list_loop_fwd T tl key
- | hashmap_list_t.HashmapListNil => result.fail error.panic
+ | hashmap_list_t.HashmapListNil => Result.fail Error.panic
+
termination_by hashmap_hash_map_get_mut_in_list_loop_fwd ls key =>
- hashmap_hash_map_get_mut_in_list_loop_terminates T ls key
+ hashmap_hash_map_get_mut_in_list_loop_terminates
+ T ls key
decreasing_by hashmap_hash_map_get_mut_in_list_loop_decreases ls key
/- [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list] -/
def hashmap_hash_map_get_mut_in_list_fwd
- (T : Type) (ls : hashmap_list_t T) (key : USize) : result T :=
+ (T : Type) (ls : hashmap_list_t T) (key : USize) : Result T :=
hashmap_hash_map_get_mut_in_list_loop_fwd T ls key
/- [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list] -/
def hashmap_hash_map_get_mut_in_list_loop_back
(T : Type) (ls : hashmap_list_t T) (key : USize) (ret0 : T) :
- (result (hashmap_list_t T))
+ (Result (hashmap_list_t T))
:=
match ls with
| hashmap_list_t.HashmapListCons ckey cvalue tl =>
if ckey = key
- then result.ret (hashmap_list_t.HashmapListCons ckey ret0 tl)
+ then Result.ret (hashmap_list_t.HashmapListCons ckey ret0 tl)
else
do
- let tl0 <- hashmap_hash_map_get_mut_in_list_loop_back T tl key ret0
- result.ret (hashmap_list_t.HashmapListCons ckey cvalue tl0)
- | hashmap_list_t.HashmapListNil => result.fail error.panic
+ let tl0 <- hashmap_hash_map_get_mut_in_list_loop_back T tl key ret0
+ Result.ret (hashmap_list_t.HashmapListCons ckey cvalue tl0)
+ | hashmap_list_t.HashmapListNil => Result.fail Error.panic
+
termination_by hashmap_hash_map_get_mut_in_list_loop_back ls key ret0 =>
- hashmap_hash_map_get_mut_in_list_loop_terminates T ls key
+ hashmap_hash_map_get_mut_in_list_loop_terminates T ls key
decreasing_by hashmap_hash_map_get_mut_in_list_loop_decreases ls key
/- [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list] -/
def hashmap_hash_map_get_mut_in_list_back
(T : Type) (ls : hashmap_list_t T) (key : USize) (ret0 : T) :
- result (hashmap_list_t T)
+ Result (hashmap_list_t T)
:=
hashmap_hash_map_get_mut_in_list_loop_back T ls key ret0
/- [hashmap_main::hashmap::HashMap::{0}::get_mut] -/
def hashmap_hash_map_get_mut_fwd
- (T : Type) (self : hashmap_hash_map_t T) (key : USize) : result T :=
+ (T : Type) (self : hashmap_hash_map_t T) (key : USize) : Result T :=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
hashmap_hash_map_get_mut_in_list_fwd T l key
/- [hashmap_main::hashmap::HashMap::{0}::get_mut] -/
def hashmap_hash_map_get_mut_back
(T : Type) (self : hashmap_hash_map_t T) (key : USize) (ret0 : T) :
- result (hashmap_hash_map_t T)
+ Result (hashmap_hash_map_t T)
:=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
- let l0 <- hashmap_hash_map_get_mut_in_list_back T l key ret0
+ vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ let l0 <- hashmap_hash_map_get_mut_in_list_back T l key ret0
let v <-
vec_index_mut_back (hashmap_list_t T) self.hashmap_hash_map_slots
- hash_mod l0
- result.ret
+ hash_mod l0
+ Result.ret
{
hashmap_hash_map_num_entries := self.hashmap_hash_map_num_entries,
hashmap_hash_map_max_load_factor := self.hashmap_hash_map_max_load_factor,
@@ -431,33 +448,36 @@ def hashmap_hash_map_get_mut_back
/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list] -/
def hashmap_hash_map_remove_from_list_loop_fwd
- (T : Type) (key : USize) (ls : hashmap_list_t T) : (result (Option T)) :=
+ (T : Type) (key : USize) (ls : hashmap_list_t T) : (Result (Option T)) :=
match ls with
| hashmap_list_t.HashmapListCons ckey t tl =>
if ckey = key
then
let mv_ls :=
mem_replace_fwd (hashmap_list_t T) (hashmap_list_t.HashmapListCons ckey
- t tl) hashmap_list_t.HashmapListNil
+ t tl) hashmap_list_t.HashmapListNil
match mv_ls with
| hashmap_list_t.HashmapListCons i cvalue tl0 =>
- result.ret (Option.some cvalue)
- | hashmap_list_t.HashmapListNil => result.fail error.panic
+ Result.ret (Option.some cvalue)
+ | hashmap_list_t.HashmapListNil => Result.fail Error.panic
+
else hashmap_hash_map_remove_from_list_loop_fwd T key tl
- | hashmap_list_t.HashmapListNil => result.ret Option.none
+ | hashmap_list_t.HashmapListNil => Result.ret Option.none
+
termination_by hashmap_hash_map_remove_from_list_loop_fwd key ls =>
- hashmap_hash_map_remove_from_list_loop_terminates T key ls
+ hashmap_hash_map_remove_from_list_loop_terminates
+ T key ls
decreasing_by hashmap_hash_map_remove_from_list_loop_decreases key ls
/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list] -/
def hashmap_hash_map_remove_from_list_fwd
- (T : Type) (key : USize) (ls : hashmap_list_t T) : result (Option T) :=
+ (T : Type) (key : USize) (ls : hashmap_list_t T) : Result (Option T) :=
hashmap_hash_map_remove_from_list_loop_fwd T key ls
/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list] -/
def hashmap_hash_map_remove_from_list_loop_back
(T : Type) (key : USize) (ls : hashmap_list_t T) :
- (result (hashmap_list_t T))
+ (Result (hashmap_list_t T))
:=
match ls with
| hashmap_list_t.HashmapListCons ckey t tl =>
@@ -465,64 +485,68 @@ def hashmap_hash_map_remove_from_list_loop_back
then
let mv_ls :=
mem_replace_fwd (hashmap_list_t T) (hashmap_list_t.HashmapListCons ckey
- t tl) hashmap_list_t.HashmapListNil
+ t tl) hashmap_list_t.HashmapListNil
match mv_ls with
- | hashmap_list_t.HashmapListCons i cvalue tl0 => result.ret tl0
- | hashmap_list_t.HashmapListNil => result.fail error.panic
+ | hashmap_list_t.HashmapListCons i cvalue tl0 => Result.ret tl0
+ | hashmap_list_t.HashmapListNil => Result.fail Error.panic
+
else
do
- let tl0 <- hashmap_hash_map_remove_from_list_loop_back T key tl
- result.ret (hashmap_list_t.HashmapListCons ckey t tl0)
- | hashmap_list_t.HashmapListNil => result.ret hashmap_list_t.HashmapListNil
+ let tl0 <- hashmap_hash_map_remove_from_list_loop_back T key tl
+ Result.ret (hashmap_list_t.HashmapListCons ckey t tl0)
+ | hashmap_list_t.HashmapListNil => Result.ret hashmap_list_t.HashmapListNil
+
termination_by hashmap_hash_map_remove_from_list_loop_back key ls =>
- hashmap_hash_map_remove_from_list_loop_terminates T key ls
+ hashmap_hash_map_remove_from_list_loop_terminates
+ T key ls
decreasing_by hashmap_hash_map_remove_from_list_loop_decreases key ls
/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list] -/
def hashmap_hash_map_remove_from_list_back
(T : Type) (key : USize) (ls : hashmap_list_t T) :
- result (hashmap_list_t T)
+ Result (hashmap_list_t T)
:=
hashmap_hash_map_remove_from_list_loop_back T key ls
/- [hashmap_main::hashmap::HashMap::{0}::remove] -/
def hashmap_hash_map_remove_fwd
- (T : Type) (self : hashmap_hash_map_t T) (key : USize) : result (Option T) :=
+ (T : Type) (self : hashmap_hash_map_t T) (key : USize) : Result (Option T) :=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
- let x <- hashmap_hash_map_remove_from_list_fwd T key l
+ vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ let x <- hashmap_hash_map_remove_from_list_fwd T key l
match x with
- | Option.none => result.ret Option.none
+ | Option.none => Result.ret Option.none
| Option.some x0 =>
do
let _ <- USize.checked_sub self.hashmap_hash_map_num_entries
- (USize.ofNatCore 1 (by intlit))
- result.ret (Option.some x0)
+ (USize.ofNatCore 1 (by intlit))
+ Result.ret (Option.some x0)
+
/- [hashmap_main::hashmap::HashMap::{0}::remove] -/
def hashmap_hash_map_remove_back
(T : Type) (self : hashmap_hash_map_t T) (key : USize) :
- result (hashmap_hash_map_t T)
+ Result (hashmap_hash_map_t T)
:=
do
- let hash <- hashmap_hash_key_fwd key
- let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
- let hash_mod <- USize.checked_rem hash i
+ let hash <- hashmap_hash_key_fwd key
+ let i := vec_len (hashmap_list_t T) self.hashmap_hash_map_slots
+ let hash_mod <- USize.checked_rem hash i
let l <-
- vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
- let x <- hashmap_hash_map_remove_from_list_fwd T key l
+ vec_index_mut_fwd (hashmap_list_t T) self.hashmap_hash_map_slots hash_mod
+ let x <- hashmap_hash_map_remove_from_list_fwd T key l
match x with
| Option.none =>
do
- let l0 <- hashmap_hash_map_remove_from_list_back T key l
+ let l0 <- hashmap_hash_map_remove_from_list_back T key l
let v <-
vec_index_mut_back (hashmap_list_t T) self.hashmap_hash_map_slots
- hash_mod l0
- result.ret
+ hash_mod l0
+ Result.ret
{
hashmap_hash_map_num_entries := self.hashmap_hash_map_num_entries,
hashmap_hash_map_max_load_factor := self.hashmap_hash_map_max_load_factor,
@@ -532,101 +556,102 @@ def hashmap_hash_map_remove_back
| Option.some x0 =>
do
let i0 <- USize.checked_sub self.hashmap_hash_map_num_entries
- (USize.ofNatCore 1 (by intlit))
- let l0 <- hashmap_hash_map_remove_from_list_back T key l
+ (USize.ofNatCore 1 (by intlit))
+ let l0 <- hashmap_hash_map_remove_from_list_back T key l
let v <-
vec_index_mut_back (hashmap_list_t T) self.hashmap_hash_map_slots
- hash_mod l0
- result.ret
+ hash_mod l0
+ Result.ret
{
hashmap_hash_map_num_entries := i0,
hashmap_hash_map_max_load_factor := self.hashmap_hash_map_max_load_factor,
hashmap_hash_map_max_load := self.hashmap_hash_map_max_load,
hashmap_hash_map_slots := v
}
+
/- [hashmap_main::hashmap::test1] -/
-def hashmap_test1_fwd : result Unit :=
+def hashmap_test1_fwd : Result Unit :=
do
- let hm <- hashmap_hash_map_new_fwd UInt64
+ let hm <- hashmap_hash_map_new_fwd UInt64
let hm0 <-
hashmap_hash_map_insert_fwd_back UInt64 hm
- (USize.ofNatCore 0 (by intlit)) (UInt64.ofNatCore 42 (by intlit))
+ (USize.ofNatCore 0 (by intlit)) (UInt64.ofNatCore 42 (by intlit))
let hm1 <-
hashmap_hash_map_insert_fwd_back UInt64 hm0
- (USize.ofNatCore 128 (by intlit)) (UInt64.ofNatCore 18 (by intlit))
+ (USize.ofNatCore 128 (by intlit)) (UInt64.ofNatCore 18 (by intlit))
let hm2 <-
hashmap_hash_map_insert_fwd_back UInt64 hm1
- (USize.ofNatCore 1024 (by intlit)) (UInt64.ofNatCore 138 (by intlit))
+ (USize.ofNatCore 1024 (by intlit)) (UInt64.ofNatCore 138 (by intlit))
let hm3 <-
hashmap_hash_map_insert_fwd_back UInt64 hm2
- (USize.ofNatCore 1056 (by intlit)) (UInt64.ofNatCore 256 (by intlit))
+ (USize.ofNatCore 1056 (by intlit)) (UInt64.ofNatCore 256 (by intlit))
let i <-
- hashmap_hash_map_get_fwd UInt64 hm3 (USize.ofNatCore 128 (by intlit))
+ hashmap_hash_map_get_fwd UInt64 hm3 (USize.ofNatCore 128 (by intlit))
if not (i = (UInt64.ofNatCore 18 (by intlit)))
- then result.fail error.panic
+ then Result.fail Error.panic
else
do
let hm4 <-
hashmap_hash_map_get_mut_back UInt64 hm3
(USize.ofNatCore 1024 (by intlit))
- (UInt64.ofNatCore 56 (by intlit))
+ (UInt64.ofNatCore 56 (by intlit))
let i0 <-
hashmap_hash_map_get_fwd UInt64 hm4
- (USize.ofNatCore 1024 (by intlit))
+ (USize.ofNatCore 1024 (by intlit))
if not (i0 = (UInt64.ofNatCore 56 (by intlit)))
- then result.fail error.panic
+ then Result.fail Error.panic
else
do
let x <-
hashmap_hash_map_remove_fwd UInt64 hm4
- (USize.ofNatCore 1024 (by intlit))
+ (USize.ofNatCore 1024 (by intlit))
match x with
- | Option.none => result.fail error.panic
+ | Option.none => Result.fail Error.panic
| Option.some x0 =>
if not (x0 = (UInt64.ofNatCore 56 (by intlit)))
- then result.fail error.panic
+ then Result.fail Error.panic
else
do
let hm5 <-
hashmap_hash_map_remove_back UInt64 hm4
- (USize.ofNatCore 1024 (by intlit))
+ (USize.ofNatCore 1024 (by intlit))
let i1 <-
hashmap_hash_map_get_fwd UInt64 hm5
- (USize.ofNatCore 0 (by intlit))
+ (USize.ofNatCore 0 (by intlit))
if not (i1 = (UInt64.ofNatCore 42 (by intlit)))
- then result.fail error.panic
+ then Result.fail Error.panic
else
do
let i2 <-
hashmap_hash_map_get_fwd UInt64 hm5
- (USize.ofNatCore 128 (by intlit))
+ (USize.ofNatCore 128 (by intlit))
if not (i2 = (UInt64.ofNatCore 18 (by intlit)))
- then result.fail error.panic
+ then Result.fail Error.panic
else
do
let i3 <-
hashmap_hash_map_get_fwd UInt64 hm5
- (USize.ofNatCore 1056 (by intlit))
+ (USize.ofNatCore 1056 (by intlit))
if not (i3 = (UInt64.ofNatCore 256 (by intlit)))
- then result.fail error.panic
- else result.ret ()
+ then Result.fail Error.panic
+ else Result.ret ()
+
/- Unit test for [hashmap_main::hashmap::test1] -/
#assert (hashmap_test1_fwd = .ret ())
/- [hashmap_main::insert_on_disk] -/
def insert_on_disk_fwd
- (key : USize) (value : UInt64) (st : state) : result (state × Unit) :=
+ (key : USize) (value : UInt64) (st : State) : Result (State × Unit) :=
do
- let (st0, hm) <- opaque_defs.hashmap_utils_deserialize_fwd st
- let hm0 <- hashmap_hash_map_insert_fwd_back UInt64 hm key value
- let (st1, _) <- opaque_defs.hashmap_utils_serialize_fwd hm0 st0
- result.ret (st1, ())
+ let (st0, hm) <- opaque_defs.hashmap_utils_deserialize_fwd st
+ let hm0 <- hashmap_hash_map_insert_fwd_back UInt64 hm key value
+ let (st1, _) <- opaque_defs.hashmap_utils_serialize_fwd hm0 st0
+ Result.ret (st1, ())
/- [hashmap_main::main] -/
-def main_fwd : result Unit :=
- result.ret ()
+def main_fwd : Result Unit := Result.ret ()
/- Unit test for [hashmap_main::main] -/
#assert (main_fwd = .ret ())
diff --git a/tests/lean/hashmap_on_disk/HashmapMain/Opaque.lean b/tests/lean/hashmap_on_disk/HashmapMain/Opaque.lean
index ce618a6c..3531e6e0 100644
--- a/tests/lean/hashmap_on_disk/HashmapMain/Opaque.lean
+++ b/tests/lean/hashmap_on_disk/HashmapMain/Opaque.lean
@@ -7,9 +7,9 @@ structure OpaqueDefs where
/- [hashmap_main::hashmap_utils::deserialize] -/
hashmap_utils_deserialize_fwd
- : state -> result (state × (hashmap_hash_map_t UInt64))
+ : State -> Result (State × (hashmap_hash_map_t UInt64))
/- [hashmap_main::hashmap_utils::serialize] -/
hashmap_utils_serialize_fwd
- : hashmap_hash_map_t UInt64 -> state -> result (state × Unit)
+ : hashmap_hash_map_t UInt64 -> State -> Result (State × Unit)
diff --git a/tests/lean/hashmap_on_disk/HashmapMain/Types.lean b/tests/lean/hashmap_on_disk/HashmapMain/Types.lean
index 2a3ea462..40f9b7e9 100644
--- a/tests/lean/hashmap_on_disk/HashmapMain/Types.lean
+++ b/tests/lean/hashmap_on_disk/HashmapMain/Types.lean
@@ -13,7 +13,7 @@ structure hashmap_hash_map_t (T : Type) where
hashmap_hash_map_num_entries : USize
hashmap_hash_map_max_load_factor : (USize × USize)
hashmap_hash_map_max_load : USize
- hashmap_hash_map_slots : vec (hashmap_list_t T)
+ hashmap_hash_map_slots : Vec (hashmap_list_t T)
-/- The state type used in the state-error monad -/ axiom state : Type
+/- The state type used in the state-error monad -/ axiom State : Type