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Squared Distance Coordinate Contribution Tool

Return one coordinate's squared Euclidean distance contribution in the square of the caller's common coordinate unit.

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Description

Subtract secondCoordinate from firstCoordinate and square for squaredContribution.

A vector has ordered coordinates. Its length and direction are different properties: scaling changes length, while normalization retains direction when the vector is nonzero. Coordinate order and the chosen axes determine the interpretation.

Subtract secondCoordinate from firstCoordinate and square for squaredContribution.

When to use this tool

Use Squared Distance Coordinate Contribution when you need a small coordinate transformation or a direction calculation under an explicit axis convention.

How to use the tool and how it works

  1. Enter firstCoordinate, secondCoordinate. 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 squaredContribution. Use the output convention below.

Subtract secondCoordinate from firstCoordinate and square for squaredContribution.1

Input fieldMeaning and unitsAccepted input
firstCoordinateFirst CoordinateRequired. Finite number.
secondCoordinateSecond CoordinateRequired. Finite number.
Output fieldInterpretationReturned shape
squaredContributionSquared ContributionRequired. Finite number.
json
{
  "input": {
    "firstCoordinate": 7,
    "secondCoordinate": 3
  },
  "output": {
    "squaredContribution": 16
  }
}

Limitations and assumptions

  • The output uses squared coordinate units and is one Euclidean-distance term, not a complete distance, norm, or coordinate-frame validation.
  • 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. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Verify the coordinate system and use a complete transformation matrix when several transformations must be composed.

References

  1. Calculation and input contract: distance/squared-distance-coordinate-contribution — tool.io

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