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sclass ScaledDiagram {
  settable int w = 600;
  settable int h = 400;
  int horizontalMargin = 10;
  int verticalMargin = 10;
  
  settable DoubleRange horizontalRange;
  settable DoubleRange verticalRange;

  DoubleRange xRange() { ret doubleRange(horizontalMargin, w-horizontalMargin); }
  DoubleRange yRange() { ret doubleRange(h-verticalMargin, verticalMargin); }
  
  double xToScreen(double x) { ret transformBetweenDoubleRanges(x, horizontalRange(), xRange()); }
  double yToScreen(double y) { ret transformBetweenDoubleRanges(y, verticalRange(), yRange()); }
  
  double xFromScreen(double x) { ret transformBetweenDoubleRanges(x, xRange(), horizontalRange()); }
  double yFromScreen(double y) { ret transformBetweenDoubleRanges(y, yRange(), verticalRange()); }
  
  public int getWidth() { ret w; }
  public int getHeight() { ret h; }
  
  bool hasScale() { ret horizontalRange != null && verticalRange != null; }
}