Leaflet OSM: Center mapview on polygon

问题

I want generate a html file including Leaflet library to show an OpenStreetMap view with a polygon. The polygon on the map should be centered. To do so i followed this discussion, but its still unclear to me, how to center an arbitrary polygon and autozoom it. Autozoom means to me, that the polygon is completly in the visible map excerpt and fills it.

As example this would be the desired result:

This is my code so far:

    var map;
    var ajaxRequest;
    var plotlist;
    var plotlayers=[];

    function initmap() {
        // set up the map
        map = new L.Map('map');

        /* --- Replace for different URL for OSM tiles */
        var url_base ='URL_TO_MY_OPENSTREETMAPS_SERVER';
        var latitude = 50.2222;
        var longtitude = 3.322343;
        var poly = L.polygon([
           [50.2222, 3.322343],
           [50.2322, 3.323353],
           [...]
        ]);


        // create the tile layer with correct attribution
        var osmUrl=url_base+'{z}/{x}/{y}.png';
        var osmAttrib='Map data ɠOpenStreetMap contributors';
        var osm = new L.TileLayer(osmUrl, {minZoom: 4, maxZoom: 20, attribution: osmAttrib});       

        // start the map at specific point
        map.setView(new L.LatLng(latitude, longtitude),15);
        map.addLayer(osm);
        poly.addTo(map);
    }

Especially it would be great, if there are "onboard" methods of Leaflet that i can use. How to calculate the center of a polygon is clear to (e.g. here) but maybe there are already implemnented methods i can use.

Solution:

// start the map at specific point
// map.setView(new L.LatLng(latitude, longtitude),15); <- Remove this line
map.addLayer(osm);
poly.addTo(map);
map.fitBounds(poly.getBounds()); // <- Add this line