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Cosine Antiparallel Negative Score Label Tool

Calculate cosine antiparallel negative score label from explicit caller-supplied inputs.

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Description

Return negative for score<0 and antiparallel when abs(score+1)<=tolerance.

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.

Return negative for score<0 and antiparallel when abs(score+1)<=tolerance.

When to use this tool

Use Cosine Antiparallel Negative Score Label 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 score, tolerance. 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 negative, antiparallel. Inspect negative, antiparallel before interpreting the associated values.

Return negative for score<0 and antiparallel when abs(score+1)<=tolerance. Require score within minus one through one and nonnegative tolerance.1

Input fieldMeaning and unitsAccepted input
scoreScoreRequired. Finite number; minimum -1; maximum 1.
toleranceNonnegative distance from minus one; no upper bound imposed.Required. Finite number; minimum 0.
Output fieldInterpretationReturned shape
negativeNegativeRequired. Boolean.
antiparallelAntiparallelRequired. Boolean.
json
{
  "input": {
    "score": -1,
    "tolerance": 0
  },
  "output": {
    "negative": true,
    "antiparallel": true
  }
}

Limitations and assumptions

  • Tolerance has no upper bound, so a large value can label scores far from minus one. This tests a supplied cosine-like value without inspecting vectors or selecting an angular tolerance.
  • 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/cosine-antiparallel-negative-score-label — tool.io

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