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PHP functions within WordPress widget function/class
add_action("widgets_init", array('LMC_countdown', 'register'));

class LMC_countdown extends WP_Widget {

  function control(){
    echo "This widget doesn't need a control panel in WordPress right now.";
    # In all likelihood, that'll be a separate issue for later. :)
  }
  function widget($args){
    echo $args['before_widget'];
      # //////////////////// BEGIN MAIN WIDGET FUNCTION ////////////////////
      $year = date("Y",$today);
      echo "<div id="sidebar-countdown">";
        /* ...
           quite a bit of additional PHP logic here, but boils down to:
        */
        echo countdownTo(findEventStart($year));
      echo "</div>";
      # //////////////////// END MAIN WIDGET FUNCTION ////////////////////
    echo $args['after_widget'];
  }
  function register(){
    register_sidebar_widget('LMC Countdown', array('LMC_countdown', 'widget'));
    register_widget_control('LMC Countdown', array('LMC_countdown', 'control'));
  }

} # end class LMC_countdown

...
  }

} # end class LMC_countdown


function countdownTo() {
  ...

class LMC_countdown extends WP_Widget {
  # private functions
  private function countdownTo() {
    ...
  }
  private function findEventStart($year) {
    ...
  }
  ...
  # wp widget functions
  function widget($args){
    ...
    echo $this->countdownTo($this->findEventStart($year));
    ...
  }
  ...
}