static Point calcFitSize(BufferedImage image, Component c) {
  int w = c.getWidth(), h = c.getHeight();
  int iw = image.getWidth(), ih = image.getHeight();
  double imgScale = max(doubleRatio(h, ih), doubleRatio(w, iw));
  ret pt(iround(iw*imgScale), iround(ih*imgScale));
}