How do I execute commands that require administrator privileges from Swift?

Check the terminationStatus to see if the shell script was successful.
However, this alone will not determine whether the password was incorrect or subsequent command execution failed.

let task=NSTask.launchedTaskWithLaunchPath("/bin/sh", arguments: ["-c", "/AAAA.sh")
task.waitUntilExit()

if task.terminationStatus!=0{
    // failure
}

If you want to determine if the password is wrong first, how about running only the dummy sudo to check the terminationStatus first?

 echo "password" | sudo-St true