Javascript call AS3 function

Question

Please try following:

Main.as

package 
{
    import flash.display.Sprite;
    import flash.display.StageAlign;
    import flash.display.StageScaleMode;
    import flash.events.Event;
    import flash.external.ExternalInterface;
    import flash.text.TextField;

    /**
     * <p>ExternalInterface example</p>
     * <p><b>author:</b> Lukasz 'Severiaan' Grela</p>
     * @author Lukasz 'Severiaan' Grela
     */
    public class Main extends Sprite 
    {
        protected var m_oOutput:TextField;
        //---------------------------------------
        //Group: CONSTRUCTOR    
        public function Main():void 
        {
            if (stage) init();
            else addEventListener(Event.ADDED_TO_STAGE, init);
        }



        protected function ei_invokeFunction(p_sMethod:String, ...args):void 
        {
            //info("ei_invokeFunction(p_sMethod:String=" + p_sMethod + ", ...args=[" + args + "]):void");
            switch (p_sMethod) 
            {
                case "func1":
                    func1.apply(this, args);
                    break;
                case "func2":
                    func2.apply(this, args);
                    break;
            }
        }

        protected function func1(num1:Number, num2:Number, num3:Number):void 
        {
            m_oOutput.text = "func1(num1=" + num1 + ", num2=" + num2 + ", num3=" + num3 + ");";
        }
        protected function func2(str1:String, num2:Number, str3:String):void 
        {
            m_oOutput.text = "func2(str1=" + str1 + ", num2=" + num2 + ", str3=" + str3 + ");";
        }


        protected function run():void 
        {

            // entry point
            m_oOutput = new TextField();
            m_oOutput.x = m_oOutput.y = 5;
            m_oOutput.width = 480;
            m_oOutput.height = 320;
            m_oOutput.multiline = true;
            m_oOutput.wordWrap = true;
            m_oOutput.border = true;

            addChild(m_oOutput);

            //prepare the ExternalInterface hook-up
            if (ExternalInterface.available)
            {
                try {
                    ExternalInterface.addCallback("invokeFunction", ei_invokeFunction);
                    m_oOutput.text = "ExternalInterface is available."
                }
                catch (err:*)
                {

                    m_oOutput.text = "ExternalInterface is not available. \nError:" + err;
                }
            }
            else
            {
                m_oOutput.text = "ExternalInterface is not available.";
            }
        }

        private function init(e:Event = null):void 
        {
            removeEventListener(Event.ADDED_TO_STAGE, init);
            //
            stage.align = StageAlign.TOP_LEFT;
            stage.scaleMode = StageScaleMode.NO_SCALE;
            stage.addEventListener(Event.RESIZE, onStageResized, false, 0, true);

            run();
        }
    }
}

index.htm

<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="utf-8"/>
    <title>external_interface_test</title>
    <meta name="description" content="" />

    <script src="js/swfobject.js"></script>
    <script>
        var flashvars = {
        };
        var params = {
            menu: "false",
            scale: "noScale",
            allowFullscreen: "true",
            allowScriptAccess: "always",
            bgcolor: "",
            wmode: "direct" // can cause issues with FP settings & webcam
        };
        var attributes = {
            id:"core"
        };
        swfobject.embedSWF(
            "externalinterfacetest.swf", 
            "altContent", "490", "330", "10.0.0", 
            "expressInstall.swf", 
            flashvars, params, attributes);
    </script>
    <script>
        var $DEBUG = true;
        //daft implementation only for testing - this should be replaced (the body of that function) with more accurate/reliable version
        function getFlashMovie(movieName) {
          var isIE = navigator.appName.indexOf("Microsoft") != -1;
          return (isIE) ? window[movieName] : document[movieName];
        }

        /**
         * Reference to the "core" SWF
         */
        function getCore()
        {
            try
            {
                var movie = getFlashMovie("core");
            }
            catch(e)
            {
                if($DEBUG)
                    alert("getCore" + "\n" + e);
            }   
            return movie;
        }

        //The "invokeFunction" is the registered callback method within SWF in query
        /**
         * wrapper for calling flash function
         */
        function function1(num1, num2, num3)
        {
            try
            {
                getCore().invokeFunction("func1", num1, num2, num3);
            }
            catch(e)
            {
                if($DEBUG)
                    alert("func1" + "\n" + e);
            }
        }
        /**
         * wrapper for calling flash function
         */
        function function2(str1, num2, str3)
        {
            try
            {
                getCore().invokeFunction("func2", str1, num2, str3);
            }
            catch(e)
            {
                if($DEBUG)
                    alert("func2" + "\n" + e);
            }
        }

    </script>
    <style>
        html, body { height:100%; overflow:hidden; }
        body { margin:0; }
    </style>
</head>
<body>
    <div id="altContent">
        <h1>external_interface_test</h1>
        <p><a href="http://www.adobe.com/go/getflashplayer">Get Adobe Flash player</a></p>
    </div>
    <div id="eiMenu">
        <a href='#' onclick='javascript:function1(1, 2, 3);return false;'>Function 1</a>|
        <a href='#' onclick="javascript:function2('a', 2, 'c');return false;">Function 2</a>

    </div>
</body>
</html>

and this are screengrabs:

Initial state Function 1 clicked Function 2 clicked

You can try to run this and let me know your output, I've tested on FF27