{
  "version": "1.0.0",
  "units": "Dimensionless normalized coordinates, not millimetres, hardware resolution or percentages of physical travel.",
  "threshold": "0.20 is an illustrative default, not a setting recommendation or a measured device value.",
  "floatingPoint": "Double precision; use absolute tolerance 1e-12 for these cases. Display rounded to four or six decimals; source JSON retains numeric precision.",
  "hardware": "No physical devices were tested for this reference. No controller input is consumed by the calculator.",
  "axes": "Positive y is drawn downwards; changing display orientation does not change the formulas."
}