require File.dirname(__FILE__) + '/../test_helper' class ShortLinkTest < ActiveSupport::TestCase ## # tests that encoding and decoding are working to within # the acceptable quantisation range. def test_encode_decode cases = Array.new 1000.times do cases << [ 180.0 * rand - 90.0, 360.0 * rand - 180.0, (18 * rand).to_i ] end cases.each do |lat, lon, zoom| lon2, lat2, zoom2 = ShortLink.decode(ShortLink.encode(lon, lat, zoom)) # zooms should be identical assert_equal zoom, zoom2, "Decoding a encoded short link gives different zoom for (#{lat}, #{lon}, #{zoom})." # but the location has a quantisation error introduced at roughly # one pixel (i.e: zoom + 8). the sqrt(5) is because each position # has an extra bit of accuracy in the lat coordinate, due to the # smaller range. distance = Math.sqrt((lat - lat2) ** 2 + (lon - lon2) ** 2) max_distance = 360.0 / (1 << (zoom + 8)) * 0.5 * Math.sqrt(5) assert max_distance > distance, "Maximum expected error exceeded: #{max_distance} <= #{distance} for (#{lat}, #{lon}, #{zoom})." end end end