Description
Return rightLimit minus leftLimit for jump and exact equality for continuousExactly.
Cubic Hermite interpolation combines endpoint values with endpoint tangents. A slope per physical coordinate becomes a normalized-parameter tangent after multiplication by the interval span.
Return rightLimit minus leftLimit for jump and exact equality for continuousExactly.
When to use this tool
Use Interpolant Endpoint Continuity Residual when you need one Hermite basis, derivative, or endpoint-unit calculation.
How to use the tool and how it works
- Enter leftLimit, rightLimit. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read jump, continuousExactly. Inspect continuousExactly before interpreting the associated values.
Return rightLimit minus leftLimit for jump and exact equality for continuousExactly.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| leftLimit | Left Limit | Required. Finite number. |
| rightLimit | Right Limit | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| jump | Jump | Required. Finite number. |
| continuousExactly | Continuous Exactly | Required. Boolean. |
{
"input": {
"leftLimit": 3,
"rightLimit": 3.25
},
"output": {
"jump": 0.25,
"continuousExactly": false
}
}Limitations and assumptions
- The limits are supplied and must share units; no actual limits, derivative continuity, or numerical tolerance is estimated.
- 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
Track the derivative coordinate explicitly and evaluate the complete endpoint data on a validated interval.
References
Similar or alternative tools
- Linear Node Exact Hit Policy
Return endpoint values directly on exact hits; otherwise blend linearly by the normalized coordinate.
- Inverse Function Local Derivative
Require forwardDerivative nonzero and return its reciprocal as inverseDerivative.