Java tutorial
//package com.java2s; public class Main { public static double tile2lat(int y, int aZoom) { final double MerkElipsK = 0.0000001; final long sradiusa = 6378137; final long sradiusb = 6356752; final double FExct = (double) Math.sqrt(sradiusa * sradiusa - sradiusb * sradiusb) / sradiusa; final int TilesAtZoom = 1 << aZoom; double result = (y - TilesAtZoom / 2) / -(TilesAtZoom / (2 * Math.PI)); result = (2 * Math.atan(Math.exp(result)) - Math.PI / 2) * 180 / Math.PI; double Zu = result / (180 / Math.PI); double yy = ((y) - TilesAtZoom / 2); double Zum1 = Zu; Zu = Math.asin(1 - ((1 + Math.sin(Zum1)) * Math.pow(1 - FExct * Math.sin(Zum1), FExct)) / (Math.exp((2 * yy) / -(TilesAtZoom / (2 * Math.PI))) * Math.pow(1 + FExct * Math.sin(Zum1), FExct))); while (Math.abs(Zum1 - Zu) >= MerkElipsK) { Zum1 = Zu; Zu = Math.asin(1 - ((1 + Math.sin(Zum1)) * Math.pow(1 - FExct * Math.sin(Zum1), FExct)) / (Math.exp((2 * yy) / -(TilesAtZoom / (2 * Math.PI))) * Math.pow(1 + FExct * Math.sin(Zum1), FExct))); } result = Zu * 180 / Math.PI; return result; } }