Description
Divide coordinate by norm and square it for squaredNormShare.
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.
Divide coordinate by norm and square it for squaredNormShare.
When to use this tool
Use Unit L2 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
- Enter coordinate, norm. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read normalizedCoordinate, squaredNormShare. Use the output convention below.
Require positive norm and abs(coordinate) ≤ norm. Divide coordinate by norm and square it for squaredNormShare.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| coordinate | Coordinate | Required. Finite number. |
| norm | Norm | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| normalizedCoordinate | Normalized Coordinate | Required. Finite number. |
| squaredNormShare | Squared Norm Share | Required. Finite number. |
{
"input": {
"coordinate": 3,
"norm": 5
},
"output": {
"normalizedCoordinate": 0.6,
"squaredNormShare": 0.36
}
}Limitations and assumptions
- The norm is supplied rather than recomputed; this is one coordinate of an L2 normalization, not a full vector 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
Similar or alternative tools
- Vector Unit Direction Zero Policy
Scale coordinates by their largest absolute magnitude and normalize the scaled vector with a Euclidean norm.
- Cosine Coordinate Term
Multiply firstCoordinate/firstNorm by secondCoordinate/secondNorm.