How can I calculate dates in jQuery, and set an input date's value to that?

How can I calculate dates in jQuery, and set an input date's value to that?

I have this html:

  1.     <input class="smalldatepicker" type="date" id="datepickerFrom" value="2016-09-04">
        </input>
        <label class="cccsfont"> to </label>
        <input type="date" class="smalldatepicker" id="datepickerTo" value="2016-09-10">
        </input>

Which sets "datepickerTo" to the last Saturday (this is based on today's date of Thursday, 9/15) and "datepickerFrom" to the Sunday before that.

This is manually added, though; I want to do it programmatically, in jQuery, something like:

  1.     var lastSat = getLastSaturday(); // return in form "YYYY-MM-DD" 
        var sundayBeforeLastSat = getSundayBeforeLast(lastSat); // " "
        
        $("#datepickerTo").val(lastSat);
        $("#datepickerFrom").val(sundayBeforeLastSat);

I think this should work, but I don't know what to put in the functions:

  1.     function getLastSaturday() {
             return ???;
        }
        
        function sundayBeforeLastSat(lastSat) {
             return ???;
        }