Description
Compare plane-distance expressions before and after coefficient scaling.
A signed distance depends on a chosen normal or axis orientation. Projection parameters, perpendicular distances and reflected signs are different quantities; a nonunit direction introduces a scale into its parameter.
Compare plane-distance expressions before and after coefficient scaling.
When to use this tool
Use Point To Plane Normal Scale Invariance when checking a supplied projection, orientation or reflection convention.
How to use the tool and how it works
- Enter signedNumerator, normalNorm, normalScale. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read distance, scaledDistance. Use the output convention below.
Compare plane-distance expressions before and after coefficient scaling. Require normalNorm > 0 and normalScale !== 0; distance = abs(signedNumerator)/normalNorm, and scaledDistance scales both numerator and norm consistently.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| signedNumerator | Signed Numerator | Required. Finite number. |
| normalNorm | Normal Norm | Required. Finite number; strictly above 0. |
| normalScale | Normal Scale | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| distance | Distance | Required. Finite number. |
| scaledDistance | Scaled Distance | Required. Finite number. |
{
"input": {
"signedNumerator": 10,
"normalNorm": 5,
"normalScale": -3
},
"output": {
"distance": 2,
"scaledDistance": 2
}
}Limitations and assumptions
- Inputs must already describe a compatible plane; finite-precision products can overflow despite mathematical invariance.
- 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 complete geometric objects and consistent units to compute actual distances, projections or multi-axis reflections.
References
Similar or alternative tools
- Point To Ray Projection Clamp Gap
Project a point onto a ray with origin clamping.
- Distance: Anisotropic Axis Scaled Gap
Return one normalized signed gap and squared contribution.