Description
Compute ((targetX-centerX)/xRadius)² + ((targetY-centerY)/yRadius)² with positive radii.
A supplied reach envelope, force arm, or hand-clearance dimension is a geometric input rather than a population-based ergonomic standard. Users and operating conditions can vary substantially.
Compute ((targetX-centerX)/xRadius)² + ((targetY-centerY)/yRadius)² with positive radii.
When to use this tool
Use Ergonomic Reach Envelope Explicit Gap when you need one explicit human-interface geometry or force term.
How to use the tool and how it works
- Enter targetX, targetY, centerX, centerY, xRadius, yRadius. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read ellipseCoordinate, insideSuppliedEnvelope. Inspect insideSuppliedEnvelope before interpreting the associated values.
Compute ((targetX-centerX)/xRadius)² + ((targetY-centerY)/yRadius)² with positive radii. Mark insideSuppliedEnvelope when this value is at most one.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| targetX | Target X | Required. Finite number. |
| targetY | Target Y | Required. Finite number. |
| centerX | Center X | Required. Finite number. |
| centerY | Center Y | Required. Finite number. |
| xRadius | X Radius | Required. Finite number; strictly above 0. |
| yRadius | Y Radius | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| ellipseCoordinate | Ellipse Coordinate | Required. Finite number. |
| insideSuppliedEnvelope | Inside Supplied Envelope | Required. Boolean. |
{
"input": {
"targetX": 3,
"targetY": 0,
"centerX": 0,
"centerY": 0,
"xRadius": 4,
"yRadius": 2
},
"output": {
"ellipseCoordinate": 0.5625,
"insideSuppliedEnvelope": true
}
}Limitations and assumptions
- The ellipse is caller supplied; membership does not establish comfortable reach, accessibility, worker safety, or a population percentile.
- 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 an appropriate ergonomic and accessibility assessment with representative users and actual operating conditions.
References
Similar or alternative tools
- Handle Clear Span Finger Envelope Gap
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