class Batteries.HashMap.LawfulHashable (α : Type u_1) [BEq α] [Hashable α] : Prop

A hash is lawful if elements which compare equal under == have equal hash.

• hash_eq : ∀ {a b : α}, (a == b) = true → hash a = hash b

  Two elements which compare equal under the BEq instance have equal hash.

theorem Batteries.HashMap.LawfulHashable.hash_eq {α : Type u_1} [BEq α] [Hashable α] [self : Batteries.HashMap.LawfulHashable α] {a : α} {b : α} : (a == b) = true → hash a = hash b

Two elements which compare equal under the BEq instance have equal hash.

def Batteries.HashMap.Imp.Buckets (α : Type u) (β : Type v) : Type (max 0 u v)

The bucket array of a HashMap is a nonempty array of AssocLists. (This type is an internal implementation detail of HashMap.)

Equations

• Batteries.HashMap.Imp.Buckets α β = { b : Array (Batteries.AssocList α β) // 0 < b.size }

def Batteries.HashMap.Imp.Buckets.mk {α : Type u_1} {β : Type u_2} (buckets : optParam Nat 8) (h : autoParam (0 < buckets) _auto✝) : Batteries.HashMap.Imp.Buckets α β

Construct a new empty bucket array with the specified capacity.

Equations

• Batteries.HashMap.Imp.Buckets.mk buckets h = ⟨mkArray buckets Batteries.AssocList.nil, ⋯⟩

def Batteries.HashMap.Imp.Buckets.update {α : Type u_1} {β : Type u_2} (data : Batteries.HashMap.Imp.Buckets α β) (i : USize) (d : Batteries.AssocList α β) (h : i.toNat < data.val.size) : Batteries.HashMap.Imp.Buckets α β

Update one bucket in the bucket array with a new value.

Equations

• data.update i d h = ⟨data.val.uset i d h, ⋯⟩

noncomputable def Batteries.HashMap.Imp.Buckets.size {α : Type u_1} {β : Type u_2} (data : Batteries.HashMap.Imp.Buckets α β) : Nat

The number of elements in the bucket array. Note: this is marked noncomputable because it is only intended for specification.

Equations

• data.size = Nat.sum (List.map (fun (x : Batteries.AssocList α β) => x.toList.length) data.val.data)

@[simp]

theorem Batteries.HashMap.Imp.Buckets.update_size {α : Type u_1} {β : Type u_2} (self : Batteries.HashMap.Imp.Buckets α β) (i : USize) (d : Batteries.AssocList α β) (h : i.toNat < self.val.size) : (self.update i d h).val.size = self.val.size

@[specialize #[]]

def Batteries.HashMap.Imp.Buckets.mapVal {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α → β → γ) (self : Batteries.HashMap.Imp.Buckets α β) : Batteries.HashMap.Imp.Buckets α γ

Map a function over the values in the map.

Equations

• Batteries.HashMap.Imp.Buckets.mapVal f self = ⟨Array.map (Batteries.AssocList.mapVal f) self.val, ⋯⟩

structure Batteries.HashMap.Imp.Buckets.WF {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (buckets : Batteries.HashMap.Imp.Buckets α β) : Prop

The well-formedness invariant for the bucket array says that every element hashes to its index (assuming the hash is lawful - otherwise there are no promises about where elements are located).

• distinct : ∀ [inst : Batteries.HashMap.LawfulHashable α] [inst : PartialEquivBEq α] (bucket : Batteries.AssocList α β), bucket ∈ buckets.val.data → List.Pairwise (fun (a b : α × β) => ¬(a.fst == b.fst) = true) bucket.toList

  The elements of a bucket are all distinct according to the BEq relation.

• hash_self : ∀ (i : Nat) (h : i < buckets.val.size), Batteries.AssocList.All (fun (k : α) (x : β) => ((hash k).toUSize % buckets.val.size).toNat = i) buckets.val[i]

  Every element in a bucket should hash to its location.

theorem Batteries.HashMap.Imp.Buckets.WF.distinct {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] {buckets : Batteries.HashMap.Imp.Buckets α β} (self : buckets.WF) [Batteries.HashMap.LawfulHashable α] [PartialEquivBEq α] (bucket : Batteries.AssocList α β) : bucket ∈ buckets.val.data → List.Pairwise (fun (a b : α × β) => ¬(a.fst == b.fst) = true) bucket.toList

The elements of a bucket are all distinct according to the BEq relation.

theorem Batteries.HashMap.Imp.Buckets.WF.hash_self {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] {buckets : Batteries.HashMap.Imp.Buckets α β} (self : buckets.WF) (i : Nat) (h : i < buckets.val.size) : Batteries.AssocList.All (fun (k : α) (x : β) => ((hash k).toUSize % buckets.val.size).toNat = i) buckets.val[i]

Every element in a bucket should hash to its location.

structure Batteries.HashMap.Imp (α : Type u) (β : Type v) : Type (max u v)

HashMap.Imp α β is the internal implementation type of HashMap α β.

• size : Nat

  The number of elements stored in the HashMap. We cache this both so that we can implement .size in O(1), and also because we use the size to determine when to resize the map.

• buckets : Batteries.HashMap.Imp.Buckets α β

  The bucket array of the HashMap.

@[inline]

def Batteries.HashMap.Imp.numBucketsForCapacity (capacity : Nat) : Nat

Given a desired capacity, this returns the number of buckets we should reserve. A "load factor" of 0.75 is the usual standard for hash maps, so we return capacity * 4 / 3.

Equations

• Batteries.HashMap.Imp.numBucketsForCapacity capacity = capacity * 4 / 3

@[inline]

def Batteries.HashMap.Imp.empty' {α : Type u_1} {β : Type u_2} (buckets : optParam Nat 8) (h : autoParam (0 < buckets) _auto✝) : Batteries.HashMap.Imp α β

Constructs an empty hash map with the specified nonzero number of buckets.

Equations

• Batteries.HashMap.Imp.empty' buckets h = { size := 0, buckets := Batteries.HashMap.Imp.Buckets.mk buckets h }

def Batteries.HashMap.Imp.empty {α : Type u_1} {β : Type u_2} (capacity : optParam Nat 0) : Batteries.HashMap.Imp α β

Constructs an empty hash map with the specified target capacity.

Equations

• One or more equations did not get rendered due to their size.

def Batteries.HashMap.Imp.mkIdx {n : Nat} (h : 0 < n) (u : USize) : { u : USize // u.toNat < n }

Calculates the bucket index from a hash value u.

Equations

• Batteries.HashMap.Imp.mkIdx h u = ⟨u % n, ⋯⟩

@[inline]

def Batteries.HashMap.Imp.reinsertAux {α : Type u_1} {β : Type u_2} [Hashable α] (data : Batteries.HashMap.Imp.Buckets α β) (a : α) (b : β) : Batteries.HashMap.Imp.Buckets α β

Inserts a key-value pair into the bucket array. This function assumes that the data is not already in the array, which is appropriate when reinserting elements into the array after a resize.

Equations

• Batteries.HashMap.Imp.reinsertAux data a b = match Batteries.HashMap.Imp.mkIdx ⋯ (hash a).toUSize with | ⟨i, h⟩ => data.update i (Batteries.AssocList.cons a b data.val[i]) h

@[inline]

def Batteries.HashMap.Imp.foldM {m : Type u_1 → Type u_2} {δ : Type u_1} {α : Type u_3} {β : Type u_4} [Monad m] (f : δ → α → β → m δ) (d : δ) (map : Batteries.HashMap.Imp α β) : m δ

Folds a monadic function over the elements in the map (in arbitrary order).

Equations

• Batteries.HashMap.Imp.foldM f d map = Array.foldlM (fun (d : δ) (b : Batteries.AssocList α β) => Batteries.AssocList.foldlM f d b) d map.buckets.val 0

@[inline]

def Batteries.HashMap.Imp.fold {δ : Type u_1} {α : Type u_2} {β : Type u_3} (f : δ → α → β → δ) (d : δ) (m : Batteries.HashMap.Imp α β) : δ

Folds a function over the elements in the map (in arbitrary order).

Equations

• Batteries.HashMap.Imp.fold f d m = (Batteries.HashMap.Imp.foldM f d m).run

@[inline]

def Batteries.HashMap.Imp.forM {m : Type u_1 → Type u_2} {α : Type u_3} {β : Type u_4} [Monad m] (f : α → β → m PUnit) (h : Batteries.HashMap.Imp α β) : m PUnit

Runs a monadic function over the elements in the map (in arbitrary order).

Equations

• Batteries.HashMap.Imp.forM f h = Array.forM (fun (b : Batteries.AssocList α β) => Batteries.AssocList.forM f b) h.buckets.val 0

def Batteries.HashMap.Imp.findEntry? {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (m : Batteries.HashMap.Imp α β) (a : α) : Option (α × β)

Given a key a, returns a key-value pair in the map whose key compares equal to a.

Equations

• One or more equations did not get rendered due to their size.

def Batteries.HashMap.Imp.find? {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (m : Batteries.HashMap.Imp α β) (a : α) : Option β

Looks up an element in the map with key a.

Equations

• m.find? a = match m with | { size := size, buckets := buckets } => match Batteries.HashMap.Imp.mkIdx ⋯ (hash a).toUSize with | ⟨i, h⟩ => Batteries.AssocList.find? a buckets.val[i]

def Batteries.HashMap.Imp.contains {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (m : Batteries.HashMap.Imp α β) (a : α) : Bool

Returns true if the element a is in the map.

Equations

• One or more equations did not get rendered due to their size.

def Batteries.HashMap.Imp.expand {α : Type u_1} {β : Type u_2} [Hashable α] (size : Nat) (buckets : Batteries.HashMap.Imp.Buckets α β) : Batteries.HashMap.Imp α β

Copies all the entries from buckets into a new hash map with a larger capacity.

Equations

• One or more equations did not get rendered due to their size.

def Batteries.HashMap.Imp.expand.go {α : Type u_1} {β : Type u_2} [Hashable α] (i : Nat) (source : Array (Batteries.AssocList α β)) (target : Batteries.HashMap.Imp.Buckets α β) : Batteries.HashMap.Imp.Buckets α β

Inner loop of expand. Copies elements source[i:] into target, destroying source in the process.

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Batteries.HashMap.Imp.insert {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (m : Batteries.HashMap.Imp α β) (a : α) (b : β) : Batteries.HashMap.Imp α β

Inserts key-value pair a, b into the map. If an element equal to a is already in the map, it is replaced by b.

Equations

• One or more equations did not get rendered due to their size.

def Batteries.HashMap.Imp.erase {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (m : Batteries.HashMap.Imp α β) (a : α) : Batteries.HashMap.Imp α β

Removes key a from the map. If it does not exist in the map, the map is returned unchanged.

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Batteries.HashMap.Imp.mapVal {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α → β → γ) (self : Batteries.HashMap.Imp α β) : Batteries.HashMap.Imp α γ

Map a function over the values in the map.

Equations

• Batteries.HashMap.Imp.mapVal f self = { size := self.size, buckets := Batteries.HashMap.Imp.Buckets.mapVal f self.buckets }

def Batteries.HashMap.Imp.modify {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (m : Batteries.HashMap.Imp α β) (a : α) (f : α → β → β) : Batteries.HashMap.Imp α β

Performs an in-place edit of the value, ensuring that the value is used linearly.

Equations

• One or more equations did not get rendered due to their size.

@[specialize #[]]

def Batteries.HashMap.Imp.filterMap {α : Type u} {β : Type v} {γ : Type w} (f : α → β → Option γ) (m : Batteries.HashMap.Imp α β) : Batteries.HashMap.Imp α γ

Applies f to each key-value pair a, b in the map. If it returns some c then a, c is pushed into the new map; else the key is removed from the map.

Equations

• One or more equations did not get rendered due to their size.

@[specialize #[]]

def Batteries.HashMap.Imp.filterMap.go {α : Type u} {β : Type v} {γ : Type w} (f : α → β → Option γ) (acc : Batteries.AssocList α γ) : Batteries.AssocList α β → ULift Nat → Batteries.AssocList α γ × ULift Nat

Inner loop of filterMap. Note that this reverses the bucket lists, but this is fine since bucket lists are unordered.

Equations

• One or more equations did not get rendered due to their size.
• Batteries.HashMap.Imp.filterMap.go f acc Batteries.AssocList.nil x = (acc, x)

@[inline]

def Batteries.HashMap.Imp.filter {α : Type u_1} {β : Type u_2} (f : α → β → Bool) (m : Batteries.HashMap.Imp α β) : Batteries.HashMap.Imp α β

Constructs a map with the set of all pairs a, b such that f returns true.

Equations

• Batteries.HashMap.Imp.filter f m = Batteries.HashMap.Imp.filterMap (fun (a : α) (b : β) => bif f a b then some b else none) m

inductive Batteries.HashMap.Imp.WF {α : Type u_1} [BEq α] [Hashable α] {β : Type u_2} : Batteries.HashMap.Imp α β → Prop

The well-formedness invariant for a hash map. The first constructor is the real invariant, and the others allow us to "cheat" in this file and define insert and erase, which have more complex proofs that are delayed to Batteries.Data.HashMap.Lemmas.

• mk: ∀ {α : Type u_1} [inst : BEq α] [inst_1 : Hashable α] {x : Type u_2} {m : Batteries.HashMap.Imp α x}, m.size = m.buckets.size → m.buckets.WF → m.WF

  The real well-formedness invariant:

  • The size field should match the actual number of elements in the map
  • The bucket array should be well-formed, meaning that if the hashable instance is lawful then every element hashes to its index.
• empty': ∀ {α : Type u_1} [inst : BEq α] [inst_1 : Hashable α] {x : Type u_2} {n : Nat} {h : 0 < n}, (Batteries.HashMap.Imp.empty' n h).WF

  The empty hash map is well formed.

• insert: ∀ {α : Type u_1} [inst : BEq α] [inst_1 : Hashable α] {x : Type u_2} {m : Batteries.HashMap.Imp α x} {a : α} {b : x}, m.WF → (m.insert a b).WF

  Inserting into a well formed hash map yields a well formed hash map.

• erase: ∀ {α : Type u_1} [inst : BEq α] [inst_1 : Hashable α] {x : Type u_2} {m : Batteries.HashMap.Imp α x} {a : α}, m.WF → (m.erase a).WF

  Removing an element from a well formed hash map yields a well formed hash map.

• modify: ∀ {α : Type u_1} [inst : BEq α] [inst_1 : Hashable α] {x : Type u_2} {m : Batteries.HashMap.Imp α x} {a : α} {f : α → x → x}, m.WF → (m.modify a f).WF

  Replacing an element in a well formed hash map yields a well formed hash map.

theorem Batteries.HashMap.Imp.WF.empty {α : Type u_1} {β : Type u_2} {n : Nat} [BEq α] [Hashable α] : (Batteries.HashMap.Imp.empty n).WF

def Batteries.HashMap (α : Type u) (β : Type v) [BEq α] [Hashable α] : Type (max 0 u v)

HashMap α β is a key-value map which stores elements in an array using a hash function to find the values. This allows it to have very good performance for lookups (average O(1) for a perfectly random hash function), but it is not a persistent data structure, meaning that one should take care to use the map linearly when performing updates. Copies are O(n).

Equations

• Batteries.HashMap α β = { m : Batteries.HashMap.Imp α β // m.WF }

@[inline]

def Batteries.mkHashMap {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (capacity : optParam Nat 0) : Batteries.HashMap α β

Make a new hash map with the specified capacity.

Equations

• Batteries.mkHashMap capacity = ⟨Batteries.HashMap.Imp.empty capacity, ⋯⟩

instance Batteries.HashMap.instInhabited {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] : Inhabited (Batteries.HashMap α β)

Equations

• Batteries.HashMap.instInhabited = { default := Batteries.mkHashMap }

instance Batteries.HashMap.instEmptyCollection {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] : EmptyCollection (Batteries.HashMap α β)

Equations

• Batteries.HashMap.instEmptyCollection = { emptyCollection := Batteries.mkHashMap }

@[inline]

def Batteries.HashMap.empty {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] : Batteries.HashMap α β

Make a new empty hash map.

(empty : Batteries.HashMap Int Int).toList = []

Equations

• Batteries.HashMap.empty = Batteries.mkHashMap

@[inline]

def Batteries.HashMap.size {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → Nat

The number of elements in the hash map.

(ofList [("one", 1), ("two", 2)]).size = 2

Equations

• self.size = self.val.size

@[inline]

def Batteries.HashMap.isEmpty {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → Bool

Is the map empty?

(empty : Batteries.HashMap Int Int).isEmpty = true
(ofList [("one", 1), ("two", 2)]).isEmpty = false

Equations

• self.isEmpty = decide (self.size = 0)

def Batteries.HashMap.insert {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → β → Batteries.HashMap α β

Inserts key-value pair a, b into the map. If an element equal to a is already in the map, it is replaced by b.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.insert "three" 3 = {"one" => 1, "two" => 2, "three" => 3}
hashMap.insert "two" 0 = {"one" => 1, "two" => 0}

Equations

• self.insert a b = ⟨self.val.insert a b, ⋯⟩

@[inline]

def Batteries.HashMap.insert' {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → β → Batteries.HashMap α β × Bool

Similar to insert, but also returns a boolean flag indicating whether an existing entry has been replaced with a => b.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.insert' "three" 3 = ({"one" => 1, "two" => 2, "three" => 3}, false)
hashMap.insert' "two" 0 = ({"one" => 1, "two" => 0}, true)

Equations

• m.insert' a b = let old := m.size; let m' := m.insert a b; let replaced := old == m'.size; (m', replaced)

@[inline]

def Batteries.HashMap.erase {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → Batteries.HashMap α β

Removes key a from the map. If it does not exist in the map, the map is returned unchanged.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.erase "one" = {"two" => 2}
hashMap.erase "three" = {"one" => 1, "two" => 2}

Equations

• self.erase a = ⟨self.val.erase a, ⋯⟩

def Batteries.HashMap.modify {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → (α → β → β) → Batteries.HashMap α β

Performs an in-place edit of the value, ensuring that the value is used linearly. The function f is passed the original key of the entry, along with the value in the map.

(ofList [("one", 1), ("two", 2)]).modify "one" (fun _ v => v + 1) = {"one" => 2, "two" => 2}
(ofList [("one", 1), ("two", 2)]).modify "three" (fun _ v => v + 1) = {"one" => 1, "two" => 2}

Equations

• self.modify a f = ⟨self.val.modify a f, ⋯⟩

@[inline]

def Batteries.HashMap.findEntry? {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → Option (α × β)

Given a key a, returns a key-value pair in the map whose key compares equal to a. Note that the returned key may not be identical to the input, if == ignores some part of the value.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.findEntry? "one" = some ("one", 1)
hashMap.findEntry? "three" = none

Equations

• self.findEntry? a = self.val.findEntry? a

@[inline]

def Batteries.HashMap.find? {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → Option β

Looks up an element in the map with key a.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.find? "one" = some 1
hashMap.find? "three" = none

Equations

• self.find? a = self.val.find? a

@[inline]

def Batteries.HashMap.findD {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → β → β

Looks up an element in the map with key a. Returns b₀ if the element is not found.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.findD "one" 0 = 1
hashMap.findD "three" 0 = 0

Equations

• self.findD a b₀ = (self.find? a).getD b₀

@[inline]

def Batteries.HashMap.find! {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → [inst : Inhabited β] → Batteries.HashMap α β → α → β

Looks up an element in the map with key a. Panics if the element is not found.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.find! "one" = 1
hashMap.find! "three" => panic!

Equations

• self.find! a = (self.find? a).getD (panicWithPosWithDecl "Batteries.Data.HashMap.Basic" "Batteries.HashMap.find!" 380 23 "key is not in the map")

instance Batteries.HashMap.instGetElemOptionTrue {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → GetElem (Batteries.HashMap α β) α (Option β) fun (x : Batteries.HashMap α β) (x : α) => True

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Batteries.HashMap.contains {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → α → Bool

Returns true if the element a is in the map.

def hashMap := ofList [("one", 1), ("two", 2)]
hashMap.contains "one" = true
hashMap.contains "three" = false

Equations

• self.contains a = self.val.contains a

@[inline]

def Batteries.HashMap.foldM {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {m : Type u_2 → Type u_3} → {δ : Type u_2} → {β : Type u_4} → [inst : Monad m] → (δ → α → β → m δ) → δ → Batteries.HashMap α β → m δ

Folds a monadic function over the elements in the map (in arbitrary order).

def sumEven (sum: Nat) (k : String) (v : Nat) : Except String Nat :=
  if v % 2 == 0 then pure (sum + v) else throw s!"value {v} at key {k} is not even"

foldM sumEven 0 (ofList [("one", 1), ("three", 3)]) =
  Except.error "value 3 at key three is not even"
foldM sumEven 0 (ofList [("two", 2), ("four", 4)]) = Except.ok 6

Equations

• Batteries.HashMap.foldM f init self = Batteries.HashMap.Imp.foldM f init self.val

@[inline]

def Batteries.HashMap.fold {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {δ : Type u_2} → {β : Type u_3} → (δ → α → β → δ) → δ → Batteries.HashMap α β → δ

Folds a function over the elements in the map (in arbitrary order).

fold (fun sum _ v => sum + v) 0 (ofList [("one", 1), ("two", 2)]) = 3

Equations

• Batteries.HashMap.fold f init self = Batteries.HashMap.Imp.fold f init self.val

@[specialize #[]]

def Batteries.HashMap.mergeWithM {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {m : Type (max u_2 u_1) → Type u_3} → {β : Type (max u_2 u_1)} → [inst : Monad m] → (α → β → β → m β) → Batteries.HashMap α β → Batteries.HashMap α β → m (Batteries.HashMap α β)

Combines two hashmaps using a monadic function f to combine two values at a key.

def map1 := ofList [("one", 1), ("two", 2)]
def map2 := ofList [("two", 2), ("three", 3)]
def map3 := ofList [("two", 3), ("three", 3)]
def mergeIfNoConflict? (_ : String) (v₁ v₂ : Nat) : Option Nat :=
  if v₁ != v₂ then none else some v₁


mergeWithM mergeIfNoConflict? map1 map2 = some {"one" => 1, "two" => 2, "three" => 3}
mergeWithM mergeIfNoConflict? map1 map3 = none

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Batteries.HashMap.mergeWith {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → (α → β → β → β) → Batteries.HashMap α β → Batteries.HashMap α β → Batteries.HashMap α β

Combines two hashmaps using function f to combine two values at a key.

mergeWith (fun _ v₁ v₂ => v₁ + v₂ )
  (ofList [("one", 1), ("two", 2)]) (ofList [("two", 2), ("three", 3)]) =
    {"one" => 1, "two" => 4, "three" => 3}

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Batteries.HashMap.forM {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {m : Type u_2 → Type u_3} → {β : Type u_4} → [inst : Monad m] → (α → β → m PUnit) → Batteries.HashMap α β → m PUnit

Runs a monadic function over the elements in the map (in arbitrary order).

def checkEven (k : String) (v : Nat) : Except String Unit :=
  if v % 2 == 0 then pure () else throw s!"value {v} at key {k} is not even"

forM checkEven (ofList [("one", 1), ("three", 3)]) = Except.error "value 3 at key three is not even"
forM checkEven (ofList [("two", 2), ("four", 4)]) = Except.ok ()

Equations

• Batteries.HashMap.forM f self = Batteries.HashMap.Imp.forM f self.val

def Batteries.HashMap.toList {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → List (α × β)

Converts the map into a list of key-value pairs.

open List
(ofList [("one", 1), ("two", 2)]).toList ~ [("one", 1), ("two", 2)]

Equations

• self.toList = Batteries.HashMap.fold (fun (r : List (α × β)) (k : α) (v : β) => (k, v) :: r) [] self

def Batteries.HashMap.toArray {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → Array (α × β)

Converts the map into an array of key-value pairs.

open List
(ofList [("one", 1), ("two", 2)]).toArray.data ~ #[("one", 1), ("two", 2)].data

Equations

• self.toArray = Batteries.HashMap.fold (fun (r : Array (α × β)) (k : α) (v : β) => r.push (k, v)) #[] self

def Batteries.HashMap.numBuckets {α : Type u_1} : {x : BEq α} → {x_1 : Hashable α} → {β : Type u_2} → Batteries.HashMap α β → Nat

The number of buckets in the hash map.

Equations

• self.numBuckets = self.val.buckets.val.size

def Batteries.HashMap.ofList {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (l : List (α × β)) : Batteries.HashMap α β

Builds a HashMap from a list of key-value pairs. Values of duplicated keys are replaced by their respective last occurrences.

ofList [("one", 1), ("one", 2)] = {"one" => 2}

Equations

• Batteries.HashMap.ofList l = List.foldl (fun (m : Batteries.HashMap α β) (x : α × β) => match x with | (k, v) => m.insert k v) Batteries.HashMap.empty l

def Batteries.HashMap.ofListWith {α : Type u_1} {β : Type u_2} [BEq α] [Hashable α] (l : List (α × β)) (f : β → β → β) : Batteries.HashMap α β

Variant of ofList which accepts a function that combines values of duplicated keys.

ofListWith [("one", 1), ("one", 2)] (fun v₁ v₂ => v₁ + v₂) = {"one" => 3}

Equations

• One or more equations did not get rendered due to their size.