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jquery vertical mousewheel smooth scrolling

I'm making a parallax website and I would like to make the page scroll smoother with the mousewheel for a better user experience. The best example I could get was this website: http://www.milwaukeepolicenews.com/#menu=home-page It would be great if I could get something similar to that into my website, the smooth vertical scrolling and scroll inertia.

I noticed they are using Brandon Aaron's jQuery mousewheel which is very light but I'm just a beginner and cannot make it work by myself.

Also i noticed this in their mpd-parallax.js:

jQuery(window).mousewheel(function(event, delta, deltaX, deltaY){
        if(delta < 0) page.scrollTop(page.scrollTop() + 65);
        else if(delta > 0) page.scrollTop(page.scrollTop() - 65);
        return false;
    })

Thank you!

EDIT

I'm almost there. Take a look at this fiddle: http://jsfiddle.net/gmelcul/cZuym/ It only needs adding an easing method to scroll just like the Milwaukee Police website.

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I know it's a really old post, but here is a good solution I made :

function handle(delta) {
    var animationInterval = 20; //lower is faster
  var scrollSpeed = 20; //lower is faster

    if (end == null) {
    end = $(window).scrollTop();
  }
  end -= 20 * delta;
  goUp = delta > 0;

  if (interval == null) {
    interval = setInterval(function () {
      var scrollTop = $(window).scrollTop();
      var step = Math.round((end - scrollTop) / scrollSpeed);
      if (scrollTop <= 0 || 
          scrollTop >= $(window).prop("scrollHeight") - $(window).height() ||
          goUp && step > -1 || 
          !goUp && step < 1 ) {
        clearInterval(interval);
        interval = null;
        end = null;
      }
      $(window).scrollTop(scrollTop + step );
    }, animationInterval);
  }
}

Test it : http://jsfiddle.net/y4swj2ts/3/


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