Vergence Accommodation Conflict Calculator

Signed vergence-minus-accommodation diopter conflict1/Dv−1/Da, actual established both distances; not infer eye strain or safe exposure.

Description

Vergence and accommodation describe eye alignment and optical focus respectively.

Vergence and accommodation describe eye alignment and optical focus respectively.1

Expressing their distances in reciprocal meters allows a signed diopter comparison. The calculation and input requirements are explained below.

When to use Vergence Accommodation Conflict Calculator

Enter positive vergence and accommodation distances in meters.

How to use Vergence Accommodation Conflict Calculator and how it works

  1. Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
  2. Enter the required fields and run Vergence Accommodation Conflict Calculator.
  3. Read the result fields using the formula, output units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualVergenceDistanceMetersActual Vergence Distance Meters. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below
actualAccommodationDistanceMetersActual Accommodation Distance Meters. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Enter positive vergence and accommodation distances in meters. Subtract accommodation reciprocal from vergence reciprocal. The signed result is in diopters and is zero for equal distances; it is not an eye-strain estimate.

conflictDiopters=1/vergenceM-1/accommodationM

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueNumeric result under the formula and output units explained above.number
json
{
  "input": {
    "actualVergenceDistanceMeters": 1,
    "actualAccommodationDistanceMeters": 2
  },
  "output": {
    "result": {
      "value": 0.5
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Vergence Distance Calculator for a complementary operation: Vergence is the inward rotation of the eyes toward a common target.

Use Accommodation Distance Calculator for a complementary operation: Accommodation distance is the reciprocal of optical power on the positive-focus branch.

References

  1. Vergence Accommodation Conflict Calculator — tool.io

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