Description
Return one Canberra-distance contribution with a zero-pair convention.
Weighted coordinate distances depend on whether weights multiply absolute differences or squared differences. Zero weights can make different vectors equivalent, and derivatives at a zero distance or absolute-value corner need explicit treatment.
Return one Canberra-distance contribution with a zero-pair convention.
When to use this tool
Use Canberra Zero Pair Convention when checking one weighted-axis contribution, support rule or derivative.
How to use the tool and how it works
- Enter first, second. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read contribution, bothZero. Inspect bothZero before interpreting the associated values.
Return one Canberra-distance contribution with a zero-pair convention. Denominator is abs(first)+abs(second); use abs(first-second)/denominator when positive, otherwise zero and bothZero = true.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| first | First | Required. Finite number. |
| second | Second | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| contribution | Contribution | Required. Finite number. |
| bothZero | Both Zero | Required. Boolean. |
{
"input": {
"first": 0,
"second": 0
},
"output": {
"contribution": 0,
"bothZero": true
}
}Limitations and assumptions
- This is one scalar term rather than a summed vector distance.
- 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
Use a complete distance implementation with an explicit weighting and missing-coordinate convention for vector comparison and optimization.
References
Similar or alternative tools
- Anisotropic Chebyshev Constraint Margin
Check axis-scaled Chebyshev tolerance margins.
- Distance: Anisotropic Axis Scaled Gap
Return one normalized signed gap and squared contribution.