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Orthodontic Device Package Count Balance Tool

Calculate orthodontic device package count balance from explicit caller-supplied inputs.

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Description

For nonnegative integer packages, loose, issued, returned, and damaged and positive integer perPackage require packages*perPackage+loose-issued+returned>=damaged.

Dental model and device records use coordinate frames, image scale, dimensions, force references, and observation schedules. A projection, gap, ratio, or metadata order checks a particular supplied representation. These local calculations do not establish a treatment plan or the clinical suitability of a device.

For nonnegative integer packages, loose, issued, returned, and damaged and positive integer perPackage require packages*perPackage+loose-issued+returned>=damaged.

When to use this tool

Use Orthodontic Device Package Count Balance when you need this particular model geometry, device budget, observation share, or record comparison.

How to use the tool and how it works

  1. Enter packages, perPackage, loose, issued, returned, damaged. 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 opening, closing, usable. Use the output convention below.

For nonnegative integer packages, loose, issued, returned, and damaged and positive integer perPackage require packages*perPackage+loose-issued+returned>=damaged. Return opening, closing=opening-issued+returned, and usable=closing-damaged.1

Input fieldMeaning and unitsAccepted input
packagesPackagesRequired. Safe integer; minimum 0.
perPackagePer PackageRequired. Safe integer; minimum 1.
looseLooseRequired. Safe integer; minimum 0.
issuedIssuedRequired. Safe integer; minimum 0.
returnedReturnedRequired. Safe integer; minimum 0.
damagedDamagedRequired. Safe integer; minimum 0.
Output fieldInterpretationReturned shape
openingOpeningRequired. Safe integer.
closingClosingRequired. Safe integer.
usableClosing count minus damaged; no device-safety or sterility check.Required. Safe integer.
json
{
  "input": {
    "packages": 3,
    "perPackage": 10,
    "loose": 2,
    "issued": 12,
    "returned": 1,
    "damaged": 2
  },
  "output": {
    "opening": 32,
    "closing": 21,
    "usable": 19
  }
}

Limitations and assumptions

  • Returns may exceed issued because no corresponding cap is imposed. Counts do not verify device identity, sterility, traceability, reuse suitability, or actual stock.
  • 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. Signed zero is exported as zero.

Alternative or Complementary methods

Use a validated measurement or device model and appropriate source records for the full task. Check coordinate systems, calibration, geometric assumptions, and observation denominators before interpreting the term.

References

  1. Calculation and input contract: orthodontics/orthodontic-device-package-count-balance — tool.io

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