Std.Data.HashSet

def Std.HashSetImp.foldBucketsM {α : Type u} {δ : Type w} {m : Type w → Type w} [inst : Monad m] (data : Std.HashSetBucket α) (d : δ) (f : δ → α → m δ) :

m δ

Equations

Std.HashSetImp.foldBucketsM data d f = Array.foldlM (fun d as => List.foldlM f d as) d data.val 0 (Array.size data.val)

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@[inline]

def Std.HashSetImp.foldBuckets {α : Type u} {δ : Type w} (data : Std.HashSetBucket α) (d : δ) (f : δ → α → δ) :

Equations

Std.HashSetImp.foldBuckets data d f = Id.run (Std.HashSetImp.foldBucketsM data d f)

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@[inline]

def Std.HashSetImp.foldM {α : Type u} {δ : Type w} {m : Type w → Type w} [inst : Monad m] (f : δ → α → m δ) (d : δ) (h : Std.HashSetImp α) :

m δ

Equations

Std.HashSetImp.foldM f d h = Std.HashSetImp.foldBucketsM h.buckets d f

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@[inline]

def Std.HashSetImp.fold {α : Type u} {δ : Type w} (f : δ → α → δ) (d : δ) (m : Std.HashSetImp α) :

Equations

Std.HashSetImp.fold f d m = Std.HashSetImp.foldBuckets m.buckets d f

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def Std.HashSetImp.find? {α : Type u} [inst : BEq α] [inst : Hashable α] (m : Std.HashSetImp α) (a : α) :

Option α

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def Std.HashSetImp.contains {α : Type u} [inst : BEq α] [inst : Hashable α] (m : Std.HashSetImp α) (a : α) :

Bool

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def Std.HashSetImp.moveEntries {α : Type u} [inst : Hashable α] (i : Nat) (source : Array (List α)) (target : Std.HashSetBucket α) :

Std.HashSetBucket α

Equations

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def Std.HashSetImp.expand {α : Type u} [inst : Hashable α] (size : Nat) (buckets : Std.HashSetBucket α) :

Std.HashSetImp α

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def Std.HashSetImp.insert {α : Type u} [inst : BEq α] [inst : Hashable α] (m : Std.HashSetImp α) (a : α) :

Std.HashSetImp α

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def Std.HashSetImp.erase {α : Type u} [inst : BEq α] [inst : Hashable α] (m : Std.HashSetImp α) (a : α) :

Std.HashSetImp α

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inductive Std.HashSetImp.WellFormed {α : Type u} [inst : BEq α] [inst : Hashable α] :

Std.HashSetImp α → Prop

mkWff: ∀ {α : Type u} [inst : BEq α] [inst_1 : Hashable α] (n : Nat), Std.HashSetImp.WellFormed (Std.mkHashSetImp n)
insertWff: ∀ {α : Type u} [inst : BEq α] [inst_1 : Hashable α] (m : Std.HashSetImp α) (a : α), Std.HashSetImp.WellFormed m → Std.HashSetImp.WellFormed (Std.HashSetImp.insert m a)
eraseWff: ∀ {α : Type u} [inst : BEq α] [inst_1 : Hashable α] (m : Std.HashSetImp α) (a : α), Std.HashSetImp.WellFormed m → Std.HashSetImp.WellFormed (Std.HashSetImp.erase m a)

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def Std.HashSet (α : Type u) [inst : BEq α] [inst : Hashable α] :

Type u

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def Std.mkHashSet {α : Type u} [inst : BEq α] [inst : Hashable α] (nbuckets : optParam Nat 8) :

Std.HashSet α

Equations

Std.mkHashSet nbuckets = { val := Std.mkHashSetImp nbuckets, property := (_ : Std.HashSetImp.WellFormed (Std.mkHashSetImp nbuckets)) }

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@[inline]

def Std.HashSet.empty {α : Type u_1} [inst : BEq α] [inst : Hashable α] :

Std.HashSet α

Equations

Std.HashSet.empty = Std.mkHashSet

source

instance Std.HashSet.instInhabitedHashSet {α : Type u_1} [inst : BEq α] [inst : Hashable α] :

Inhabited (Std.HashSet α)

Equations

Std.HashSet.instInhabitedHashSet = { default := Std.mkHashSet }

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instance Std.HashSet.instEmptyCollectionHashSet {α : Type u_1} [inst : BEq α] [inst : Hashable α] :

EmptyCollection (Std.HashSet α)

Equations

Std.HashSet.instEmptyCollectionHashSet = { emptyCollection := Std.mkHashSet }

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@[inline]

def Std.HashSet.insert {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → α → Std.HashSet α

Equations

Std.HashSet.insert m a = match m with | { val := m, property := hw } => { val := Std.HashSetImp.insert m a, property := (_ : Std.HashSetImp.WellFormed (Std.HashSetImp.insert m a)) }

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@[inline]

def Std.HashSet.erase {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → α → Std.HashSet α

Equations

Std.HashSet.erase m a = match m with | { val := m, property := hw } => { val := Std.HashSetImp.erase m a, property := (_ : Std.HashSetImp.WellFormed (Std.HashSetImp.erase m a)) }

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@[inline]

def Std.HashSet.find? {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → α → Option α

Equations

Std.HashSet.find? m a = match m with | { val := m, property := property } => Std.HashSetImp.find? m a

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@[inline]

def Std.HashSet.contains {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → α → Bool

Equations

Std.HashSet.contains m a = match m with | { val := m, property := property } => Std.HashSetImp.contains m a

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@[inline]

def Std.HashSet.foldM {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → {δ : Type w} → {m : Type w → Type w} → [inst : Monad m] → (δ → α → m δ) → δ → Std.HashSet α → m δ

Equations

Std.HashSet.foldM f init h = match h with | { val := h, property := property } => Std.HashSetImp.foldM f init h

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@[inline]

def Std.HashSet.fold {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → {δ : Type w} → (δ → α → δ) → δ → Std.HashSet α → δ

Equations

Std.HashSet.fold f init m = match m with | { val := m, property := property } => Std.HashSetImp.fold f init m

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@[inline]

def Std.HashSet.size {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → Nat

Equations

Std.HashSet.size m = match m with | { val := { size := sz, buckets := buckets }, property := property } => sz

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@[inline]

def Std.HashSet.isEmpty {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → Bool

Equations

Std.HashSet.isEmpty m = decide (Std.HashSet.size m = 0)

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def Std.HashSet.toList {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → List α

Equations

Std.HashSet.toList m = Std.HashSet.fold (fun r a => a :: r) [] m

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def Std.HashSet.toArray {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → Array α

Equations

Std.HashSet.toArray m = Std.HashSet.fold (fun r a => Array.push r a) #[] m

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def Std.HashSet.numBuckets {α : Type u} :

{x : BEq α} → {x_1 : Hashable α} → Std.HashSet α → Nat

Equations

Std.HashSet.numBuckets m = Array.size m.val.buckets.val