TilingRange high_res_range(0, 0);
TilingRange low_res_range(tilings_.size(), tilings_.size());
for (size_t i = 0; i < tilings_.size(); ++i) {
TilingRange high_res_range(0, 0);
TilingRange low_res_range(tilings_.size(), tilings_.size());
for (size_t i = 0; i < tilings_.size(); ++i) {