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Distance: Range Reading Quantization Halfwidth Tool

Return the rounding-bin halfwidth and endpoint values for an explicit quantum; not a full measurement uncertainty, confidence interval or endpoint tie policy.

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Description

Return the symmetric nearest-rounding bin around a supplied reading and quantization increment.

A range or engineering coordinate needs a declared geometric and measurement convention. A local orthogonal station-offset distance and a quantization half-width are limited models, rather than general geographic distance or measurement accuracy.

Return the symmetric nearest-rounding bin around a supplied reading and quantization increment.

When to use this tool

Use Distance: Range Reading Quantization Halfwidth when checking the stated local geometry or rounding-resolution envelope.

How to use the tool and how it works

  1. Enter reading, quantum. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Require positive quantum. halfwidth = quantum/2; lower = reading-halfwidth; upper = reading+halfwidth.1

Input fieldMeaning and unitsAccepted input
readingReadingRequired. Finite number.
quantumQuantumRequired. Finite number.
Output fieldInterpretationReturned shape
resultObject containing the named calculated members below.Required. Object.
result.halfwidthHalf of the supplied nearest-rounding quantum, not a complete uncertainty estimate.Calculated result member: number.
result.lowerLower bound under the stated coordinate, derivative or uncertainty convention.Calculated result member: number.
result.upperUpper bound under the stated coordinate, derivative or uncertainty convention.Calculated result member: number.
json
{
  "input": {
    "reading": 10,
    "quantum": 0.2
  },
  "output": {
    "result": {
      "halfwidth": 0.1,
      "lower": 9.9,
      "upper": 10.1
    }
  }
}

Limitations and assumptions

  • This reports a symmetric rounding-to-nearest quantization envelope under the supplied resolution, not calibration error, statistical confidence or sensor accuracy. Endpoint inclusion depends on the tie rule.
  • Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use the actual road geometry or a complete calibrated measurement-uncertainty budget when the simplified assumption is insufficient.

References

  1. Calculation and input contract: distance/range-reading-quantization-halfwidth — tool.io

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