-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS -- [hashmap]: function definitions import Base.Primitives import Hashmap.Types import Hashmap.Clauses.Clauses /- [hashmap::hash_key] -/ def hash_key_fwd (k : USize) : Result USize := Result.ret k /- [hashmap::HashMap::{0}::allocate_slots] -/ def hash_map_allocate_slots_loop_fwd (T : Type) (slots : Vec (list_t T)) (n : USize) : (Result (Vec (list_t T))) := if h: n > (USize.ofNatCore 0 (by intlit)) then do let slots0 ← vec_push_back (list_t T) slots list_t.ListNil let n0 ← USize.checked_sub n (USize.ofNatCore 1 (by intlit)) hash_map_allocate_slots_loop_fwd T slots0 n0 else Result.ret slots termination_by hash_map_allocate_slots_loop_fwd slots n => hash_map_allocate_slots_loop_terminates T slots n decreasing_by hash_map_allocate_slots_loop_decreases slots n /- [hashmap::HashMap::{0}::allocate_slots] -/ def hash_map_allocate_slots_fwd (T : Type) (slots : Vec (list_t T)) (n : USize) : Result (Vec (list_t T)) := hash_map_allocate_slots_loop_fwd T slots n /- [hashmap::HashMap::{0}::new_with_capacity] -/ def hash_map_new_with_capacity_fwd (T : Type) (capacity : USize) (max_load_dividend : USize) (max_load_divisor : USize) : Result (hash_map_t T) := do let v := vec_new (list_t T) let slots ← 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 { hash_map_num_entries := (USize.ofNatCore 0 (by intlit)), hash_map_max_load_factor := (max_load_dividend, max_load_divisor), hash_map_max_load := i0, hash_map_slots := slots } /- [hashmap::HashMap::{0}::new] -/ def hash_map_new_fwd (T : Type) : Result (hash_map_t T) := hash_map_new_with_capacity_fwd T (USize.ofNatCore 32 (by intlit)) (USize.ofNatCore 4 (by intlit)) (USize.ofNatCore 5 (by intlit)) /- [hashmap::HashMap::{0}::clear] -/ def hash_map_clear_loop_fwd_back (T : Type) (slots : Vec (list_t T)) (i : USize) : (Result (Vec (list_t T))) := let i0 := vec_len (list_t T) slots if h: i < i0 then do let i1 ← USize.checked_add i (USize.ofNatCore 1 (by intlit)) let slots0 ← vec_index_mut_back (list_t T) slots i list_t.ListNil hash_map_clear_loop_fwd_back T slots0 i1 else Result.ret slots termination_by hash_map_clear_loop_fwd_back slots i => hash_map_clear_loop_terminates T slots i decreasing_by hash_map_clear_loop_decreases slots i /- [hashmap::HashMap::{0}::clear] -/ def hash_map_clear_fwd_back (T : Type) (self : hash_map_t T) : Result (hash_map_t T) := do let v ← hash_map_clear_loop_fwd_back T self.hash_map_slots (USize.ofNatCore 0 (by intlit)) Result.ret { hash_map_num_entries := (USize.ofNatCore 0 (by intlit)), hash_map_max_load_factor := self.hash_map_max_load_factor, hash_map_max_load := self.hash_map_max_load, hash_map_slots := v } /- [hashmap::HashMap::{0}::len] -/ def hash_map_len_fwd (T : Type) (self : hash_map_t T) : Result USize := Result.ret self.hash_map_num_entries /- [hashmap::HashMap::{0}::insert_in_list] -/ def hash_map_insert_in_list_loop_fwd (T : Type) (key : USize) (value : T) (ls : list_t T) : (Result Bool) := match h: ls with | list_t.ListCons ckey cvalue tl => if h: ckey = key then Result.ret false else hash_map_insert_in_list_loop_fwd T key value tl | list_t.ListNil => Result.ret true termination_by hash_map_insert_in_list_loop_fwd key value ls => hash_map_insert_in_list_loop_terminates T key value ls decreasing_by hash_map_insert_in_list_loop_decreases key value ls /- [hashmap::HashMap::{0}::insert_in_list] -/ def hash_map_insert_in_list_fwd (T : Type) (key : USize) (value : T) (ls : list_t T) : Result Bool := hash_map_insert_in_list_loop_fwd T key value ls /- [hashmap::HashMap::{0}::insert_in_list] -/ def hash_map_insert_in_list_loop_back (T : Type) (key : USize) (value : T) (ls : list_t T) : (Result (list_t T)) := match h: ls with | list_t.ListCons ckey cvalue tl => if h: ckey = key then Result.ret (list_t.ListCons ckey value tl) else do let tl0 ← hash_map_insert_in_list_loop_back T key value tl Result.ret (list_t.ListCons ckey cvalue tl0) | list_t.ListNil => let l := list_t.ListNil Result.ret (list_t.ListCons key value l) termination_by hash_map_insert_in_list_loop_back key value ls => hash_map_insert_in_list_loop_terminates T key value ls decreasing_by hash_map_insert_in_list_loop_decreases key value ls /- [hashmap::HashMap::{0}::insert_in_list] -/ def hash_map_insert_in_list_back (T : Type) (key : USize) (value : T) (ls : list_t T) : Result (list_t T) := hash_map_insert_in_list_loop_back T key value ls /- [hashmap::HashMap::{0}::insert_no_resize] -/ def hash_map_insert_no_resize_fwd_back (T : Type) (self : hash_map_t T) (key : USize) (value : T) : Result (hash_map_t T) := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_mut_fwd (list_t T) self.hash_map_slots hash_mod let inserted ← hash_map_insert_in_list_fwd T key value l if h: inserted then do let i0 ← USize.checked_add self.hash_map_num_entries (USize.ofNatCore 1 (by intlit)) let l0 ← hash_map_insert_in_list_back T key value l let v ← vec_index_mut_back (list_t T) self.hash_map_slots hash_mod l0 Result.ret { hash_map_num_entries := i0, hash_map_max_load_factor := self.hash_map_max_load_factor, hash_map_max_load := self.hash_map_max_load, hash_map_slots := v } else do let l0 ← hash_map_insert_in_list_back T key value l let v ← vec_index_mut_back (list_t T) self.hash_map_slots hash_mod l0 Result.ret { hash_map_num_entries := self.hash_map_num_entries, hash_map_max_load_factor := self.hash_map_max_load_factor, hash_map_max_load := self.hash_map_max_load, hash_map_slots := v } /- [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_c : UInt32 := eval_global core_num_u32_max_body (by simp) /- [hashmap::HashMap::{0}::move_elements_from_list] -/ def hash_map_move_elements_from_list_loop_fwd_back (T : Type) (ntable : hash_map_t T) (ls : list_t T) : (Result (hash_map_t T)) := match h: ls with | list_t.ListCons k v tl => do let ntable0 ← hash_map_insert_no_resize_fwd_back T ntable k v hash_map_move_elements_from_list_loop_fwd_back T ntable0 tl | list_t.ListNil => Result.ret ntable termination_by hash_map_move_elements_from_list_loop_fwd_back ntable ls => hash_map_move_elements_from_list_loop_terminates T ntable ls decreasing_by hash_map_move_elements_from_list_loop_decreases ntable ls /- [hashmap::HashMap::{0}::move_elements_from_list] -/ def hash_map_move_elements_from_list_fwd_back (T : Type) (ntable : hash_map_t T) (ls : list_t T) : Result (hash_map_t T) := hash_map_move_elements_from_list_loop_fwd_back T ntable ls /- [hashmap::HashMap::{0}::move_elements] -/ def hash_map_move_elements_loop_fwd_back (T : Type) (ntable : hash_map_t T) (slots : Vec (list_t T)) (i : USize) : (Result ((hash_map_t T) × (Vec (list_t T)))) := let i0 := vec_len (list_t T) slots if h: i < i0 then do let l ← vec_index_mut_fwd (list_t T) slots i let ls := mem_replace_fwd (list_t T) l list_t.ListNil let ntable0 ← 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 (list_t T) l list_t.ListNil let slots0 ← vec_index_mut_back (list_t T) slots i l0 hash_map_move_elements_loop_fwd_back T ntable0 slots0 i1 else Result.ret (ntable, slots) termination_by hash_map_move_elements_loop_fwd_back ntable slots i => hash_map_move_elements_loop_terminates T ntable slots i decreasing_by hash_map_move_elements_loop_decreases ntable slots i /- [hashmap::HashMap::{0}::move_elements] -/ def hash_map_move_elements_fwd_back (T : Type) (ntable : hash_map_t T) (slots : Vec (list_t T)) (i : USize) : Result ((hash_map_t T) × (Vec (list_t T))) := hash_map_move_elements_loop_fwd_back T ntable slots i /- [hashmap::HashMap::{0}::try_resize] -/ def hash_map_try_resize_fwd_back (T : Type) (self : hash_map_t T) : Result (hash_map_t T) := do let max_usize ← scalar_cast USize core_num_u32_max_c let capacity := vec_len (list_t T) self.hash_map_slots let n1 ← USize.checked_div max_usize (USize.ofNatCore 2 (by intlit)) let (i, i0) := self.hash_map_max_load_factor let i1 ← USize.checked_div n1 i if h: capacity <= i1 then do let i2 ← USize.checked_mul capacity (USize.ofNatCore 2 (by intlit)) let ntable ← hash_map_new_with_capacity_fwd T i2 i i0 let (ntable0, _) ← hash_map_move_elements_fwd_back T ntable self.hash_map_slots (USize.ofNatCore 0 (by intlit)) Result.ret { hash_map_num_entries := self.hash_map_num_entries, hash_map_max_load_factor := (i, i0), hash_map_max_load := ntable0.hash_map_max_load, hash_map_slots := ntable0.hash_map_slots } else Result.ret { hash_map_num_entries := self.hash_map_num_entries, hash_map_max_load_factor := (i, i0), hash_map_max_load := self.hash_map_max_load, hash_map_slots := self.hash_map_slots } /- [hashmap::HashMap::{0}::insert] -/ def hash_map_insert_fwd_back (T : Type) (self : hash_map_t T) (key : USize) (value : T) : Result (hash_map_t T) := do let self0 ← hash_map_insert_no_resize_fwd_back T self key value let i ← hash_map_len_fwd T self0 if h: i > self0.hash_map_max_load then hash_map_try_resize_fwd_back T self0 else Result.ret self0 /- [hashmap::HashMap::{0}::contains_key_in_list] -/ def hash_map_contains_key_in_list_loop_fwd (T : Type) (key : USize) (ls : list_t T) : (Result Bool) := match h: ls with | list_t.ListCons ckey t tl => if h: ckey = key then Result.ret true else hash_map_contains_key_in_list_loop_fwd T key tl | list_t.ListNil => Result.ret false termination_by hash_map_contains_key_in_list_loop_fwd key ls => hash_map_contains_key_in_list_loop_terminates T key ls decreasing_by hash_map_contains_key_in_list_loop_decreases key ls /- [hashmap::HashMap::{0}::contains_key_in_list] -/ def hash_map_contains_key_in_list_fwd (T : Type) (key : USize) (ls : list_t T) : Result Bool := hash_map_contains_key_in_list_loop_fwd T key ls /- [hashmap::HashMap::{0}::contains_key] -/ def hash_map_contains_key_fwd (T : Type) (self : hash_map_t T) (key : USize) : Result Bool := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_fwd (list_t T) self.hash_map_slots hash_mod hash_map_contains_key_in_list_fwd T key l /- [hashmap::HashMap::{0}::get_in_list] -/ def hash_map_get_in_list_loop_fwd (T : Type) (key : USize) (ls : list_t T) : (Result T) := match h: ls with | list_t.ListCons ckey cvalue tl => if h: ckey = key then Result.ret cvalue else hash_map_get_in_list_loop_fwd T key tl | list_t.ListNil => Result.fail Error.panic termination_by hash_map_get_in_list_loop_fwd key ls => hash_map_get_in_list_loop_terminates T key ls decreasing_by hash_map_get_in_list_loop_decreases key ls /- [hashmap::HashMap::{0}::get_in_list] -/ def hash_map_get_in_list_fwd (T : Type) (key : USize) (ls : list_t T) : Result T := hash_map_get_in_list_loop_fwd T key ls /- [hashmap::HashMap::{0}::get] -/ def hash_map_get_fwd (T : Type) (self : hash_map_t T) (key : USize) : Result T := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_fwd (list_t T) self.hash_map_slots hash_mod hash_map_get_in_list_fwd T key l /- [hashmap::HashMap::{0}::get_mut_in_list] -/ def hash_map_get_mut_in_list_loop_fwd (T : Type) (ls : list_t T) (key : USize) : (Result T) := match h: ls with | list_t.ListCons ckey cvalue tl => if h: ckey = key then Result.ret cvalue else hash_map_get_mut_in_list_loop_fwd T tl key | list_t.ListNil => Result.fail Error.panic termination_by hash_map_get_mut_in_list_loop_fwd ls key => hash_map_get_mut_in_list_loop_terminates T ls key decreasing_by hash_map_get_mut_in_list_loop_decreases ls key /- [hashmap::HashMap::{0}::get_mut_in_list] -/ def hash_map_get_mut_in_list_fwd (T : Type) (ls : list_t T) (key : USize) : Result T := hash_map_get_mut_in_list_loop_fwd T ls key /- [hashmap::HashMap::{0}::get_mut_in_list] -/ def hash_map_get_mut_in_list_loop_back (T : Type) (ls : list_t T) (key : USize) (ret0 : T) : (Result (list_t T)) := match h: ls with | list_t.ListCons ckey cvalue tl => if h: ckey = key then Result.ret (list_t.ListCons ckey ret0 tl) else do let tl0 ← hash_map_get_mut_in_list_loop_back T tl key ret0 Result.ret (list_t.ListCons ckey cvalue tl0) | list_t.ListNil => Result.fail Error.panic termination_by hash_map_get_mut_in_list_loop_back ls key ret0 => hash_map_get_mut_in_list_loop_terminates T ls key decreasing_by hash_map_get_mut_in_list_loop_decreases ls key /- [hashmap::HashMap::{0}::get_mut_in_list] -/ def hash_map_get_mut_in_list_back (T : Type) (ls : list_t T) (key : USize) (ret0 : T) : Result (list_t T) := hash_map_get_mut_in_list_loop_back T ls key ret0 /- [hashmap::HashMap::{0}::get_mut] -/ def hash_map_get_mut_fwd (T : Type) (self : hash_map_t T) (key : USize) : Result T := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_mut_fwd (list_t T) self.hash_map_slots hash_mod hash_map_get_mut_in_list_fwd T l key /- [hashmap::HashMap::{0}::get_mut] -/ def hash_map_get_mut_back (T : Type) (self : hash_map_t T) (key : USize) (ret0 : T) : Result (hash_map_t T) := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_mut_fwd (list_t T) self.hash_map_slots hash_mod let l0 ← hash_map_get_mut_in_list_back T l key ret0 let v ← vec_index_mut_back (list_t T) self.hash_map_slots hash_mod l0 Result.ret { hash_map_num_entries := self.hash_map_num_entries, hash_map_max_load_factor := self.hash_map_max_load_factor, hash_map_max_load := self.hash_map_max_load, hash_map_slots := v } /- [hashmap::HashMap::{0}::remove_from_list] -/ def hash_map_remove_from_list_loop_fwd (T : Type) (key : USize) (ls : list_t T) : (Result (Option T)) := match h: ls with | list_t.ListCons ckey t tl => if h: ckey = key then let mv_ls := mem_replace_fwd (list_t T) (list_t.ListCons ckey t tl) list_t.ListNil match h: mv_ls with | list_t.ListCons i cvalue tl0 => Result.ret (Option.some cvalue) | list_t.ListNil => Result.fail Error.panic else hash_map_remove_from_list_loop_fwd T key tl | list_t.ListNil => Result.ret Option.none termination_by hash_map_remove_from_list_loop_fwd key ls => hash_map_remove_from_list_loop_terminates T key ls decreasing_by hash_map_remove_from_list_loop_decreases key ls /- [hashmap::HashMap::{0}::remove_from_list] -/ def hash_map_remove_from_list_fwd (T : Type) (key : USize) (ls : list_t T) : Result (Option T) := hash_map_remove_from_list_loop_fwd T key ls /- [hashmap::HashMap::{0}::remove_from_list] -/ def hash_map_remove_from_list_loop_back (T : Type) (key : USize) (ls : list_t T) : (Result (list_t T)) := match h: ls with | list_t.ListCons ckey t tl => if h: ckey = key then let mv_ls := mem_replace_fwd (list_t T) (list_t.ListCons ckey t tl) list_t.ListNil match h: mv_ls with | list_t.ListCons i cvalue tl0 => Result.ret tl0 | list_t.ListNil => Result.fail Error.panic else do let tl0 ← hash_map_remove_from_list_loop_back T key tl Result.ret (list_t.ListCons ckey t tl0) | list_t.ListNil => Result.ret list_t.ListNil termination_by hash_map_remove_from_list_loop_back key ls => hash_map_remove_from_list_loop_terminates T key ls decreasing_by hash_map_remove_from_list_loop_decreases key ls /- [hashmap::HashMap::{0}::remove_from_list] -/ def hash_map_remove_from_list_back (T : Type) (key : USize) (ls : list_t T) : Result (list_t T) := hash_map_remove_from_list_loop_back T key ls /- [hashmap::HashMap::{0}::remove] -/ def hash_map_remove_fwd (T : Type) (self : hash_map_t T) (key : USize) : Result (Option T) := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_mut_fwd (list_t T) self.hash_map_slots hash_mod let x ← hash_map_remove_from_list_fwd T key l match h: x with | Option.none => Result.ret Option.none | Option.some x0 => do let _ ← USize.checked_sub self.hash_map_num_entries (USize.ofNatCore 1 (by intlit)) Result.ret (Option.some x0) /- [hashmap::HashMap::{0}::remove] -/ def hash_map_remove_back (T : Type) (self : hash_map_t T) (key : USize) : Result (hash_map_t T) := do let hash ← hash_key_fwd key let i := vec_len (list_t T) self.hash_map_slots let hash_mod ← USize.checked_rem hash i let l ← vec_index_mut_fwd (list_t T) self.hash_map_slots hash_mod let x ← hash_map_remove_from_list_fwd T key l match h: x with | Option.none => do let l0 ← hash_map_remove_from_list_back T key l let v ← vec_index_mut_back (list_t T) self.hash_map_slots hash_mod l0 Result.ret { hash_map_num_entries := self.hash_map_num_entries, hash_map_max_load_factor := self.hash_map_max_load_factor, hash_map_max_load := self.hash_map_max_load, hash_map_slots := v } | Option.some x0 => do let i0 ← USize.checked_sub self.hash_map_num_entries (USize.ofNatCore 1 (by intlit)) let l0 ← hash_map_remove_from_list_back T key l let v ← vec_index_mut_back (list_t T) self.hash_map_slots hash_mod l0 Result.ret { hash_map_num_entries := i0, hash_map_max_load_factor := self.hash_map_max_load_factor, hash_map_max_load := self.hash_map_max_load, hash_map_slots := v } /- [hashmap::test1] -/ def test1_fwd : Result Unit := do let hm ← hash_map_new_fwd UInt64 let hm0 ← hash_map_insert_fwd_back UInt64 hm (USize.ofNatCore 0 (by intlit)) (UInt64.ofNatCore 42 (by intlit)) let hm1 ← hash_map_insert_fwd_back UInt64 hm0 (USize.ofNatCore 128 (by intlit)) (UInt64.ofNatCore 18 (by intlit)) let hm2 ← hash_map_insert_fwd_back UInt64 hm1 (USize.ofNatCore 1024 (by intlit)) (UInt64.ofNatCore 138 (by intlit)) let hm3 ← hash_map_insert_fwd_back UInt64 hm2 (USize.ofNatCore 1056 (by intlit)) (UInt64.ofNatCore 256 (by intlit)) let i ← hash_map_get_fwd UInt64 hm3 (USize.ofNatCore 128 (by intlit)) if h: not (i = (UInt64.ofNatCore 18 (by intlit))) then Result.fail Error.panic else do let hm4 ← hash_map_get_mut_back UInt64 hm3 (USize.ofNatCore 1024 (by intlit)) (UInt64.ofNatCore 56 (by intlit)) let i0 ← hash_map_get_fwd UInt64 hm4 (USize.ofNatCore 1024 (by intlit)) if h: not (i0 = (UInt64.ofNatCore 56 (by intlit))) then Result.fail Error.panic else do let x ← hash_map_remove_fwd UInt64 hm4 (USize.ofNatCore 1024 (by intlit)) match h: x with | Option.none => Result.fail Error.panic | Option.some x0 => if h: not (x0 = (UInt64.ofNatCore 56 (by intlit))) then Result.fail Error.panic else do let hm5 ← hash_map_remove_back UInt64 hm4 (USize.ofNatCore 1024 (by intlit)) let i1 ← hash_map_get_fwd UInt64 hm5 (USize.ofNatCore 0 (by intlit)) if h: not (i1 = (UInt64.ofNatCore 42 (by intlit))) then Result.fail Error.panic else do let i2 ← hash_map_get_fwd UInt64 hm5 (USize.ofNatCore 128 (by intlit)) if h: not (i2 = (UInt64.ofNatCore 18 (by intlit))) then Result.fail Error.panic else do let i3 ← hash_map_get_fwd UInt64 hm5 (USize.ofNatCore 1056 (by intlit)) if h: not (i3 = (UInt64.ofNatCore 256 (by intlit))) then Result.fail Error.panic else Result.ret () /- Unit test for [hashmap::test1] -/ #assert (test1_fwd == .ret ())