Created
April 11, 2023 23:10
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AVLTree in swift for store data in a efficient way
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final class AVLTree<Element: Comparable> { | |
private var value: Element? | |
private var left: AVLTree<Element>? | |
private var right: AVLTree<Element>? | |
private var balanceFactor: Int8 = 0 | |
private var height: Int | |
init() { | |
height = (value == nil) ? 0 : 1 | |
} | |
private init(element: Element?) { | |
self.value = element | |
height = (element == nil) ? 0 : 1 | |
} | |
func contains(_ element: Element) -> Bool { | |
guard let value = self.value else { return false } | |
if value == element { | |
return true | |
} else if element < value { | |
return left?.contains(element) ?? false | |
} else { | |
return right?.contains(element) ?? false | |
} | |
} | |
@discardableResult | |
func insert(_ element: Element) -> Bool { | |
guard let value = self.value else { | |
self.value = element | |
return false | |
} | |
var rebalanced = false | |
if element < value { | |
rebalanced = insert(element, into: &left) | |
} else { | |
rebalanced = insert(element, into: &right) | |
} | |
if !rebalanced { | |
updateBalanceAndHeight() | |
rebalanced = rebalanceIfNeeded() | |
} | |
return rebalanced | |
} | |
private func insert(_ element: Element, into child: inout AVLTree<Element>?) -> Bool { | |
if let child = child { | |
return child.insert(element) | |
} else { | |
child = AVLTree(element: element) | |
return false | |
} | |
} | |
private func rebalanceIfNeeded() -> Bool { | |
if balanceFactor > 1 { | |
if left!.balanceFactor > 0 { | |
rotateRight() | |
} else { | |
doubleRotateLeftRight() | |
} | |
return true | |
} else if balanceFactor < -1 { | |
if right!.balanceFactor < 0 { | |
rotateLeft() | |
} else { | |
doubleRotateRightLeft() | |
} | |
return true | |
} | |
return false | |
} | |
private func rotateLeft() { | |
let oldRight = right! | |
let newParent = AVLTree(element: value) | |
newParent.left = left | |
newParent.right = oldRight.left | |
left = newParent | |
right = oldRight.right | |
value = oldRight.value | |
} | |
private func rotateRight() { | |
let oldLeft = left! | |
let newParent = AVLTree(element: value) | |
newParent.left = oldLeft.right | |
newParent.right = right | |
left = oldLeft.left | |
right = newParent | |
value = oldLeft.value | |
} | |
private func doubleRotateLeftRight() { | |
left?.rotateLeft() | |
rotateRight() | |
} | |
private func doubleRotateRightLeft() { | |
right!.rotateRight() | |
rotateLeft() | |
} | |
private func updateBalanceAndHeight() { | |
let leftHeight = left?.height ?? 0 | |
let rightHeight = right?.height ?? 0 | |
balanceFactor = Int8(leftHeight - rightHeight) | |
height = max(leftHeight, rightHeight) + 1 | |
} | |
} | |
//Example of how to make a find | |
extension AVLTree where Element == Empleado { | |
func find(by name: String) -> Empleado? { | |
guard let value else { return nil } | |
if value.firstName == name { | |
return value | |
} else if name < value.firstName { | |
return left?.find(by: name) | |
} else { | |
return right?.find(by: name) | |
} | |
} | |
} | |
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