(function ($) {
  $.fn.pulsate = function (properties, duration, type, speed, callback) {
    type = type || 'Swing'
    speed = speed || 'Normal';
    this.animate(properties, duration, 'pulsate' + type + speed, callback);
  };
                 
  function createPulsateLinear (speed) {
    speed *= 2;
    return function (p, n) {
      return (Math.asin(Math.sin(Math.PI * n / speed)) + Math.PI / 2) / Math.PI;
    }
  }
                 
  function createPulsateSwing (speed) {
    return function (p, n) {
      return (1 + Math.sin(n / speed)) / 2;
    }
  }
                 
  function createPulsateBounce (speed) {
    speed *= 2;
    return function (p, n) {
      return (
        ((Math.asin(Math.sin(Math.PI * n / speed)) + Math.PI / 2) / Math.PI) *
        (Math.sin(Math.PI * n / speed) + 1) / -2 + 1
      );
    }
  }
  
  var speeds = {
    fast: 100,
    normal: 200,
    slow: 400
  }
   
  $.extend(jQuery.easing, {
    pulsateLinearFast: createPulsateLinear(speeds.fast),
    pulsateLinearNormal: createPulsateLinear(speeds.normal),
    pulsateLinearSlow: createPulsateLinear(speeds.slow),
    pulsateSwingFast: createPulsateSwing(speeds.fast),
    pulsateSwingNormal: createPulsateSwing(speeds.normal),
    pulsateSwingSlow: createPulsateSwing(speeds.slow),
    pulsateBounceFast: createPulsateBounce(speeds.fast),
    pulsateBounceNormal: createPulsateBounce(speeds.normal),
    pulsateBounceSlow: createPulsateBounce(speeds.slow)
  });
})(jQuery);