autoload_tester () {
  fn=$1
  echo
  echo --------- $fn ----------------------------------------
  echo unset KSH_AUTOLOAD
  unsetopt kshautoload
  unfunction $fn
  autoload $fn
  $fn
  echo "-- calling function again --"
  $fn

  echo --------------------------

  echo set KSH_AUTOLOAD
  setopt kshautoload
  unfunction $fn
  autoload $fn
  $fn
  echo "-- calling function again --"
  $fn
}

autoload_test_all () {
  autoload_tester autoload_test1
  autoload_tester autoload_test2
  autoload_tester autoload_test3
}

# This tester itself assumes KSH_AUTOLOAD is *not* set, therefore
# I need to invoke it here:
autoload_test_all "$@"