Limiting user input to a valid decimal number in Swift

This takes multiple decimals into account by using an NSScanner to test whether the new string would be numeric:

func textField(textField: UITextField,
              shouldChangeCharactersInRange range: NSRange,
              replacementString string: String) -> Bool {

    // Get the attempted new string by replacing the new characters in the
    // appropriate range
    let newString = (textField.text as NSString).stringByReplacingCharactersInRange(range, withString: string)

    if newString.length > 0 {

        // Find out whether the new string is numeric by using an NSScanner.
        // The scanDecimal method is invoked with NULL as value to simply scan
        // past a decimal integer representation.
        let scanner: NSScanner = NSScanner(string:newString)
        let isNumeric = scanner.scanDecimal(nil) && scanner.atEnd

        return isNumeric

    } else {

        // To allow for an empty text field
        return true
    }

}

Here is a simple example:

import UIKit

class ViewController: UIViewController, UITextFieldDelegate {

    @IBOutlet weak var textField: UITextField!

    override func viewDidLoad() {
        super.viewDidLoad()

        self.textField.delegate = self

    }

    //Textfield delegates
    func textField(textField: UITextField, shouldChangeCharactersInRange range: NSRange, replacementString string: String) -> Bool { // return NO to not change text

        switch string {
        case "0","1","2","3","4","5","6","7","8","9":
            return true
        case ".":
            let array = Array(textField.text)
            var decimalCount = 0
            for character in array {
                if character == "." {
                    decimalCount++
                }
            }

            if decimalCount == 1 {
                return false
            } else {
                return true
            }
        default:
            let array = Array(string)
            if array.count == 0 {
                return true
            }
            return false
        }
    }
}

All of answers use '.' as valid separator for decimals, but in different localisation it's may be wrong.

func textField(_ textField: UITextField, shouldChangeCharactersIn range: NSRange, replacementString string: String) -> Bool {
    guard !string.isEmpty else {
        return true
    }

    let currentText = textField.text ?? ""
    let replacementText = (currentText as NSString).replacingCharacters(in: range, with: string)

    return replacementText.isDecimal()
}


extension String{
   func isDecimal()->Bool{
       let formatter = NumberFormatter()
       formatter.allowsFloats = true
       formatter.locale = Locale.current
       return formatter.number(from: self) != nil
   }
}