Temperature Daily Swing Tolerance Checker

Integrate exact piecewise-linear daily temperature degree-hours outside caller center/band and retain measured swing; unlike RH range/slew, this is excursion magnitude×duration, not preservation safety.

Description

Temperature excursion severity combines magnitude and duration.

Temperature excursion severity combines magnitude and duration. It differs from daily range alone.

Integrate exact piecewise-linear daily temperature degree-hours outside caller center/band and retain measured swing; unlike RH range/slew, this is excursion magnitude×duration, not preservation safety.

When to use Temperature Daily Swing Tolerance Checker

Use this tool to integrate exact piecewise-linear daily temperature degree-hours outside caller center/band and retain measured swing; unlike RH range/slew, this is excursion magnitude×duration, not preservation safety.

Prepare the collection, exposure, scheduling or financial records required for this calculation. Keep row order and the declared units consistent.

How to use Temperature Daily Swing Tolerance Checker and understand its results

  1. Prepare the collection, exposure, scheduling or financial records required for this calculation. Keep row order and the declared units consistent.
  2. Enter sampleHours, temperatureC, callerTemperatureCenterC, callerHalfBandC using the field table and calculation rules, then run the tool.
  3. Read observedDailyTemperatureRangeC, piecewiseLinearDegreeHoursOutsideBand. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
sampleHoursSample hourslist of numberRequired
temperatureCTemperature clist of numberRequired
callerTemperatureCenterCCaller temperature center cnumberRequired
callerHalfBandCCaller half band cnumberRequired

Align increasing hours spanning exactly 0–24 with temperatures and nonnegative half-band. Integrate each linear segment's outside-band triangles or trapezoids exactly, returning degree-hours and observed range.1

Paired lists must be nonempty and have equal lengths. Each sequence checked for increasing order must contain at least two strictly increasing values.

degree-hours = ∫ max(0,abs(temperature − center) − half-band) dt

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
observedDailyTemperatureRangeCObserved daily temperature range cnumber
piecewiseLinearDegreeHoursOutsideBandPiecewise linear degree hours outside bandnumber
json
{
  "input": {
    "sampleHours": [
      0,
      12,
      24
    ],
    "temperatureC": [
      20,
      24,
      20
    ],
    "callerTemperatureCenterC": 20,
    "callerHalfBandC": 1
  },
  "output": {
    "observedDailyTemperatureRangeC": 4,
    "piecewiseLinearDegreeHoursOutsideBand": 27
  }
}

Limitations and assumptions

Piecewise interpolation excludes unresolved extremes and does not establish preservation safety.

Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use RH Daily Fluctuation Tolerance Band Checker: Audit observed full-day RH range and resolved maximum slew as distinct caller fluctuation criteria; unresolved intersample extremes remain unknown. For a complementary task, use Environmental Excursion Alert Threshold Breach Counter: Retain environmental excursion sample count, contiguous episode count, actual exposure and magnitude×duration as different summaries; measurements represent declared intervals, not intersample interpolation or damage.

References

  1. Temperature Daily Swing Tolerance Checker — tool.io

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