How to change a selected tab when scrolling?

Question

I have tab panel like this:

And I want to do something like when a user scroll down the page, this panel will select the next tab instead of scrolling the whole page.

I found a similar implementation, but since all of my contents are inside this box, I have no clue how to do like that.

Code example for jsfiddle:

$(document).ready(function () {
    $(document).on("scroll", onScroll);
});

function onScroll(event){
    var scrollPos = $(document).scrollTop();
    $('#menu-center a').each(function () {
        var currLink = $(this);
        var refElement = $(currLink.attr("href"));
        if (refElement.position().top <= scrollPos && refElement.position().top + refElement.height() > scrollPos) {
            $('#menu-center ul li a').removeClass("active");
            currLink.addClass("active");
        }
        else{
            currLink.removeClass("active");
        }
    });
}

This is their html:

<div class="m1 menu">
    <div id="menu-center">
        <ul>
            <li><a class="active" href="#home">Home</a>

            </li>
            <li><a href="#portfolio">Portfolio</a>

            </li>
            <li><a href="#about">About</a>

            </li>
            <li><a href="#contact">Contact</a>

            </li>
        </ul>
    </div>
</div>
<div id="home"></div>
<div id="portfolio"></div>
<div id="about"></div>
<div id="contact"></div>