I have UIButton. In interface builder I set its title to be \'Attributed\'. How can I make its title to be underlined from code in Swift?
@IBOutlet weak var myBt         
        A modified version of @shlomo-koppel answer for button title, It will work if you set/change button title programmatically (like in my case I used localization)
extension UIButton {
    func underline() {
        guard let text = self.currentTitle else { return }
        let attributedString = NSMutableAttributedString(string: text)
        attributedString.addAttribute(NSAttributedString.Key.underlineColor, value: self.titleColor(for: .normal)!, range: NSRange(location: 0, length: text.count))
        attributedString.addAttribute(NSAttributedString.Key.foregroundColor, value: self.titleColor(for: .normal)!, range: NSRange(location: 0, length: text.count))
        attributedString.addAttribute(NSAttributedString.Key.underlineStyle, value: NSUnderlineStyle.single.rawValue, range: NSRange(location: 0, length: text.count))
        self.setAttributedTitle(attributedString, for: .normal)
    }
}
Based on some of previous answers I decide to make a class that can be easy implemented into your apps
Swift 4
import UIKit
class UnderlineTextButton: UIButton {
override func setTitle(_ title: String?, for state: UIControlState) {
    super.setTitle(title, for: .normal)
    self.setAttributedTitle(self.attributedString(), for: .normal)
}
private func attributedString() -> NSAttributedString? {
    let attributes : [NSAttributedStringKey : Any] = [
        NSAttributedStringKey.font : UIFont.systemFont(ofSize: 19.0),
        NSAttributedStringKey.foregroundColor : UIColor.red,
        NSAttributedStringKey.underlineStyle : NSUnderlineStyle.styleSingle.rawValue
    ]
    let attributedString = NSAttributedString(string: self.currentTitle!, attributes: attributes)
    return attributedString
  }
}
From code I call it on such a way 
button.setTitle(author, for: .normal)
StoryBoard: If you want to Underline text from storyBoard.
Swift 5 / Xcode 11
  @IBOutlet weak var myButton: UIButton!
  let yourAttributes: [NSAttributedString.Key: Any] = [
      .font: UIFont.systemFont(ofSize: 14),
      .foregroundColor: UIColor.blue,
      .underlineStyle: NSUnderlineStyle.single.rawValue]
         //.double.rawValue, .thick.rawValue
  override func viewDidLoad() {
     super.viewDidLoad()
     let attributeString = NSMutableAttributedString(string: "Your button text",
                                                     attributes: yourAttributes)
     myButton.setAttributedTitle(attributeString, for: .normal)
  }
Swift 4 / Xcode 9
  @IBOutlet weak var myButton: UIButton!
  let yourAttributes : [NSAttributedStringKey: Any] = [
      NSAttributedStringKey.font : UIFont.systemFont(ofSize: 14),
      NSAttributedStringKey.foregroundColor : UIColor.blue,
      NSAttributedStringKey.underlineStyle : NSUnderlineStyle.styleSingle.rawValue]
         //.styleDouble.rawValue, .styleThick.rawValue, .styleNone.rawValue
  override func viewDidLoad() {
    super.viewDidLoad()
    let attributeString = NSMutableAttributedString(string: "Your button text",
                                                    attributes: yourAttributes)
    myButton.setAttributedTitle(attributeString, for: .normal)
  }
Swift 3 / Xcode 8
  @IBOutlet weak var myButton: UIButton!
  let yourAttributes : [String: Any] = [
      NSFontAttributeName : UIFont.systemFont(ofSize: 14),
      NSForegroundColorAttributeName : UIColor.white,
      NSUnderlineStyleAttributeName : NSUnderlineStyle.styleSingle.rawValue] 
         //.styleDouble.rawValue, .styleThick.rawValue, .styleNone.rawValue
   override func viewDidLoad() {
      super.viewDidLoad()
      let attributeString = NSMutableAttributedString(string: "Your button text", 
                                                       attributes: yourAttributes)        
      myButton.setAttributedTitle(attributeString, for: .normal) 
    }
@ShlomoKoppel answer in Swift 4.2
extension UIButton {
    func underline() {
        guard let text = self.titleLabel?.text else { return }
        let attributedString = NSMutableAttributedString(string: text)
        //NSAttributedStringKey.foregroundColor : UIColor.blue
        attributedString.addAttribute(NSAttributedString.Key.underlineColor, value: self.titleColor(for: .normal)!, range: NSRange(location: 0, length: text.count))
        attributedString.addAttribute(NSAttributedString.Key.foregroundColor, value: self.titleColor(for: .normal)!, range: NSRange(location: 0, length: text.count))
        attributedString.addAttribute(NSAttributedString.Key.underlineStyle, value: NSUnderlineStyle.single.rawValue, range: NSRange(location: 0, length: text.count))
        self.setAttributedTitle(attributedString, for: .normal)
    }
}
extension UILabel {
    func underlineMyText() {
        if let textString = self.text {
            let attributedString = NSMutableAttributedString(string: textString)
            attributedString.addAttribute(NSAttributedString.Key.underlineStyle, value: NSUnderlineStyle.single.rawValue, range: NSRange(location: 0, length: attributedString.length - 1))
            attributedText = attributedString
        }
    }
}
Thanks for posting your code, it wasn't clear that you knew how to create an attributed string at all.
This should work:
var attrs = [
    NSFontAttributeName : UIFont.systemFontOfSize(19.0),
    NSForegroundColorAttributeName : UIColor.redColor(),
    NSUnderlineStyleAttributeName : NSUnderlineStyle.StyleSingle.rawValue
]
Swift 4 version:
var attrs : [NSAttributedStringKey : Any] = [
    NSAttributedStringKey.font : UIFont.systemFont(ofSize: 19.0),
    NSAttributedStringKey.foregroundColor : UIColor.red,
    NSAttributedStringKey.underlineStyle : NSUnderlineStyle.styleSingle.rawValue
]