참고 : http://stackoverflow.com/questions/210717/using-jquery-to-center-a-div-on-the-screen


- scroll 계산 없이 처리

(function($){
    $.fn.extend({
        center: function () {
            return this.each(function() {
                var top = ($(window).height() - $(this).outerHeight()) / 2;
                var left = ($(window).width() - $(this).outerWidth()) / 2;
                $(this).css({position:'absolute', margin:0, top: (top > 0 ? top : 0)+'px', left: (left > 0 ? left : 0)+'px'});
            });
        }
    }); 
})(jQuery);

- scroll 계산 포함

(function($){
     $.fn.extend({
          center: function (options) {
               var options =  $.extend({ // Default values
                    inside:window, // element, center into window
                    transition: 0, // millisecond, transition time
                    minX:0, // pixel, minimum left element value
                    minY:0, // pixel, minimum top element value
                    withScrolling:true, // booleen, take care of the scrollbar (scrollTop)
                    vertical:true, // booleen, center vertical
                    horizontal:true // booleen, center horizontal
               }, options);
               return this.each(function() {
                    var props = {position:'absolute'};
                    if (options.vertical) {
                         var top = ($(options.inside).height() - $(this).outerHeight()) / 2;
                         if (options.withScrolling) top += $(options.inside).scrollTop() || 0;
                         top = (top > options.minY ? top : options.minY);
                         $.extend(props, {top: top+'px'});
                    }
                    if (options.horizontal) {
                          var left = ($(options.inside).width() - $(this).outerWidth()) / 2;
                          if (options.withScrolling) left += $(options.inside).scrollLeft() || 0;
                          left = (left > options.minX ? left : options.minX);
                          $.extend(props, {left: left+'px'});
                    }
                    if (options.transition > 0) $(this).animate(props, options.transition);
                    else $(this).css(props);
                    return $(this);
               });
          }
     });
})(jQuery);
$(document).ready(function(){
    $('#mainDiv').center();
    $(window).bind('resize', function() {
        $('#mainDiv').center({transition:300});
    });
);


$('your-selector').position({
    of: $(window)
});


$.fn.center = function() {
    this.css({
        'position': 'fixed',
        'left': '50%',
        'top': '50%'
    });
    this.css({
        'margin-left': -this.outerWidth() / 2 + 'px',
        'margin-top': -this.outerHeight() / 2 + 'px'
    });

    return this;
}


jQuery.fn.center = function ($) {
  var w = $(window);
  this.css({
    'position':'absolute',
    'top':Math.abs(((w.height() - this.outerHeight()) / 2) + w.scrollTop()),
    'left':Math.abs(((w.width() - this.outerWidth()) / 2) + w.scrollLeft())
  });
  return this;
}
.center{
    position: absolute;
    height: 50px;
    width: 50px;
    background:red;
    top:calc(50% - 50px/2);   /* 50% - height/2 */
    left:calc(50% - 50px/2);  /* 50% - width/2 */
}



==========================================================================================================

Bootstrap Modal Center 띄우기

참고 : http://codepen.io/dimbslmh/full/mKfCc



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