Description
Center a supplied value on a signed interval coordinate without clamping extrapolation.
Normalization depends on the supplied center, scale, norm, range, reference distribution, or denominator. A zero spread and a missing denominator need an explicit policy, and clipping differs from fitting a scaler. Evaluating one scalar or derivative term does not estimate every parameter or establish a distributional improvement.
Center a supplied value on a signed interval coordinate without clamping extrapolation.
When to use this tool
Use Signed Range Center Offset when you already have the required normalization parameters and need this local scalar, range, policy, or derivative term.
How to use the tool and how it works
- Enter value, lower, upper. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read center, normalizedOffset. Use the output convention below.
For lower<upper return center=lower+(upper-lower)/2 and normalizedOffset=2*(value-lower)/(upper-lower)-1.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| value | Supplied scalar or returned value under the stated operation. | Required. Finite number. |
| lower | Lower | Required. Finite number. |
| upper | Upper | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| center | Supplied location parameter or calculated midpoint under the stated formula. | Required. Finite number. |
| normalizedOffset | Affine map to [-1,1] on the supplied interval, with outside extrapolation. | Required. Finite number. |
{
"input": {
"value": 7,
"lower": 0,
"upper": 10
},
"output": {
"center": 5,
"normalizedOffset": 0.3999999999999999
}
}Limitations and assumptions
- The supplied interval maps to [-1,1] but outside values are allowed and not clipped. Bounds and value need one unit; no feature range is fitted or verified from observations.
- 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
Fit or verify the intended scaler parameters and statistical model separately. Check units, zero policies, missingness, clipping, inverse conventions, and whether supplied norms or denominators belong to the same data.
References
Similar or alternative tools
- Normalizer Center Inverse Offset
For nonzero signed scale return original=normalized*scale+center and offsetContribution=center.
- Symmetric Range Center Span Pair
For minimum<maximum return center=minimum/2+maximum/2 and halfSpan=(maximum-minimum)/2.