Press-and-hold button for "repeat fire"

I have referred to countless other questions about a press-and-hold button but there aren't many related to Swift. I have one function connected to a button using the touchUpInside event:

@IBAction func singleFire(sender: AnyObject){
    //code
}

...and another function that is meant to call the function above repeatedly while the same button is held down, and stop when the button is no longer pressed:

@IBAction func speedFire(sender: AnyObject){

    button.addTarget(self, action: "buttonDown:", forControlEvents: .TouchDown)
    button.addTarget(self, action: "buttonUp:", forControlEvents: .TouchUpOutside)

    func buttonDown(sender: AnyObject){
        timer = NSTimer.scheduledTimerWithTimeInterval(0.3, target: self, selector: "singleFire", userInfo: nil, repeats: true)     
    }

    func buttonUp(sender: AnyObject){
        timer.invalidate()
    }
}

I'm not sure what I'm doing wrong, and I don't know how to setup touch events to the same button for a different function.

You want rapid repeat fire when your button is held down.

Your buttonDown and buttonUp methods need to be defined at the top level, and not inside of another function. For demonstration purposes, it is clearer to forgo wiring up @IBActions from the Storyboard and just set up the button in viewDidLoad:

class ViewController: UIViewController {

    @IBOutlet weak var button: UIButton!
    var timer: Timer?
    var speedAmmo = 20

    @objc func buttonDown(_ sender: UIButton) {
        singleFire()
        timer = Timer.scheduledTimer(timeInterval: 0.3, target: self, selector: #selector(rapidFire), userInfo: nil, repeats: true)
    }

    @objc func buttonUp(_ sender: UIButton) {
        timer?.invalidate()
    }

    func singleFire() {
        print("bang!")
    }

    @objc func rapidFire() {
        if speedAmmo > 0 {
            speedAmmo -= 1
            print("bang!")
        } else {
            print("out of speed ammo, dude!")
            timer?.invalidate()
        }
    }

    override func viewDidLoad() {
        super.viewDidLoad()

        // These could be added in the Storyboard instead if you mark
        // buttonDown and buttonUp with @IBAction
        button.addTarget(self, action: #selector(buttonDown), for: .touchDown)
        button.addTarget(self, action: #selector(buttonUp), for: [.touchUpInside, .touchUpOutside])
    }
}

Also, I changed .touchUpOutside to [.touchUpInside, .touchUpOutside] (to catch both touch up events) and call singleFire on the initial buttonDown for single fire. With these changes, pressing the button fires immediately, and then fires every 0.3 seconds for as long as the button is held down.

The button can be wired up in the Storyboard instead of setting it up in viewDidLoad. In this case, add @IBAction to buttonDown and buttonUp. Then Control-click on your button in the Storyboard and drag from the circle next to Touch Down to func buttonDown, and drag from the circles next to Touch Up Inside and Touch Up Outside to func buttonUp.