Description
Linear sight ray from rear eye to target; frontEyeHeight must include the caller-selected obstruction reference.
A production plan combines stage geometry, cue times, movement distances, material dimensions, and explicit scheduling or accounting rules. Signed margins reveal surplus or deficit under the chosen model. Physical clearances, execution variability, and governing requirements can require checks beyond one arithmetic term.
Linear sight ray from rear eye to target; frontEyeHeight must include the caller-selected obstruction reference.
When to use this tool
Use Theatre Seat Sightline Offset Term when you need this specific stage, cue, material, timing, count, or fee term under supplied production assumptions.
How to use the tool and how it works
- Enter rearEyeHeight, frontEyeHeight, rearDistance, rowSpacing, targetHeight, requiredClearance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read rayHeightAtFront, clearance, margin. Use the output convention below.
For positive rearDistance, rowSpacing within that distance, and nonnegative requiredClearance interpolate the rear-eye-to-target ray at rearDistance-rowSpacing. Return rayHeightAtFront, clearance above frontEyeHeight, and margin after requiredClearance.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| rearEyeHeight | Rear Eye Height | Required. Finite number. |
| frontEyeHeight | Front Eye Height | Required. Finite number. |
| rearDistance | Rear Distance | Required. Finite number; strictly above 0. |
| rowSpacing | Row Spacing | Required. Finite number; minimum 0. |
| targetHeight | Target Height | Required. Finite number. |
| requiredClearance | Required Clearance | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| rayHeightAtFront | Ray Height At Front | Required. Finite number. |
| clearance | Clearance | Required. Finite number. |
| margin | Signed surplus or deficit under the stated supplied rule. | Required. Finite number. |
{
"input": {
"rearEyeHeight": 2,
"frontEyeHeight": 1.5,
"rearDistance": 10,
"rowSpacing": 2,
"targetHeight": 0,
"requiredClearance": 0.1
},
"output": {
"rayHeightAtFront": 1.6,
"clearance": 0.10000000000000009,
"margin": 8.326672684688674e-17
}
}Limitations and assumptions
- All geometry uses one length unit in an ideal vertical plane. Eye heights and viewing target are supplied; seat design, head obstructions, accessibility, and building-rule compliance are not verified.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete production schedule or equipment/layout assessment when one margin is insufficient. Check units, timing conventions, tolerances, and physical constraints before combining terms.
References
Similar or alternative tools
- Stage Mark Distance
For positive suppliedScale return distance=hypot(secondX-firstX,secondY-firstY)*suppliedScale.
- Stage Wing Prop Clearance Gap
For nonnegative openingWidth, propWidth, and sideAllowance return margin=openingWidth-propWidth-2*sideAllowance and fits when margin>=0.