Description
Compute x0 + (targetY - y0) × (x1 - x0)/(y1 - y0) and flag target values outside the endpoint y range.
Linear interpolation blends endpoint values by a normalized coordinate. Its value weights, inverse slope, and sensitivities to moving nodes answer different questions and use different units.
Compute x0 + (targetY - y0) × (x1 - x0)/(y1 - y0) and flag target values outside the endpoint y range.
When to use this tool
Use Inverse Linear Extrapolation Domain Flag when you need one explicitly defined linear interpolation term.
How to use the tool and how it works
- Enter x0, x1, y0, y1, targetY. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read inverseX, extrapolated. Inspect extrapolated before interpreting the associated values.
Require distinct x and y endpoints. Compute x0 + (targetY - y0) × (x1 - x0)/(y1 - y0) and flag target values outside the endpoint y range.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| x0 | X0 | Required. Finite number. |
| x1 | X1 | Required. Finite number. |
| y0 | Y0 | Required. Finite number. |
| y1 | Y1 | Required. Finite number. |
| targetY | Target Y | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| inverseX | Inverse X | Required. Finite number. |
| extrapolated | Extrapolated | Required. Boolean. |
{
"input": {
"x0": 0,
"x1": 10,
"y0": 0,
"y1": 20,
"targetY": 30
},
"output": {
"inverseX": 15,
"extrapolated": true
}
}Limitations and assumptions
- Decreasing segments are supported and extrapolation is returned rather than rejected; no nonlinear inverse is solved.
- 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
Validate endpoints and units and use a complete evaluator when clamping, extrapolation, or uncertainty propagation is required.
References
Similar or alternative tools
- Inverse Interpolation Flat Segment Flag
Mark flat when left equals right.
- Linear Interpolant Inverse Sensitivity
Return (rightX - leftX)/(rightY - leftY) as derivative of inverse position with respect to value.