static int bwIntegralImage_sumRect(BWIntegralImage img, int x1, int y1, int x2, int y2) {
  int bottomLeft  = img.getIIValue(x1-1, y2-1);
  int bottomRight = img.getIIValue(x2-1, y2-1);
  int topLeft     = img.getIIValue(x1-1, y1-1);
  int topRight    = img.getIIValue(x2-1, y1-1);
  ret bottomRight+topLeft-topRight-bottomLeft;
}

meta-for int in int, dbl {

  static int bwIntegralImage_sumRect(IBWIntegralImage img, int x1, int y1, int x2, int y2) {
    int bottomLeft  = img.getIIValue(x1-1, y2-1);
    int bottomRight = img.getIIValue(x2-1, y2-1);
    int topLeft     = img.getIIValue(x1-1, y1-1);
    int topRight    = img.getIIValue(x2-1, y1-1);
    ret bottomRight+topLeft-topRight-bottomLeft;
  }
  
}