static Pt calcFitSize(BufferedImage image, Component c) {
  ret calcFitSize(image, c.getWidth(), c.getHeight());
}

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