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Similarity Rounding Threshold Interval Tool

Calculate similarity rounding threshold interval from explicit caller-supplied inputs.

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Description

Form displayed±resolution/2 with positive resolution.

A similarity term depends on the comparison universe, missing-value policy, treatment of repeated features, and normalization. A score can also have a caller-selected value when its mathematical denominator vanishes. Those conventions matter before interpreting a threshold or comparing methods.

Form displayed±resolution/2 with positive resolution.

When to use this tool

Use Similarity Rounding Threshold Interval when you need this particular comparison term, normalization, domain condition, or empty-result policy in a larger matching workflow.

How to use the tool and how it works

  1. Enter displayed, resolution, threshold. 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 lower, upper, classification. Use the output convention below.

Form displayed±resolution/2 with positive resolution. Label certain-pass when lower>=threshold, certain-fail when upper<threshold, otherwise ambiguous.1

Input fieldMeaning and unitsAccepted input
displayedDisplayedRequired. Finite number.
resolutionResolutionRequired. Finite number; strictly above 0.
thresholdThresholdRequired. Finite number.
Output fieldInterpretationReturned shape
lowerUnclamped displayed-minus-half-resolution bound.Required. Finite number.
upperUnclamped displayed-plus-half-resolution bound.Required. Finite number.
classificationClassificationRequired. Text; maximum UTF-16 length 8192.
json
{
  "input": {
    "displayed": 0.8,
    "resolution": 0.1,
    "threshold": 0.78
  },
  "output": {
    "lower": 0.75,
    "upper": 0.8500000000000001,
    "classification": "ambiguous"
  }
}

Limitations and assumptions

  • The envelope is not clamped to zero through one and assumes a supplied half-resolution model. Endpoint closure, actual rounding method, and statistical uncertainty are not established.
  • The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
  • 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

Compare methods only after aligning feature definitions, missingness, empty policies, multiplicities, and normalizers. Use a complete comparison when the tool returns only one contribution or count check.

References

  1. Calculation and input contract: similarity/similarity-rounding-threshold-interval — tool.io

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