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Theatrical Gel Frame Clear Aperture Tool

Calculate theatrical gel frame clear aperture from explicit caller-supplied inputs.

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Description

Return clearWidth=frameWidth-2*border, clearHeight=frameHeight-2*border, and their product as area.

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.

Return clearWidth=frameWidth-2*border, clearHeight=frameHeight-2*border, and their product as area.

When to use this tool

Use Theatrical Gel Frame Clear Aperture 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

  1. Enter frameWidth, frameHeight, border. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read clearWidth, clearHeight, area. Use the output convention below.

Require nonnegative border and frameWidth and frameHeight each at least twice border. Return clearWidth=frameWidth-2*border, clearHeight=frameHeight-2*border, and their product as area.1

Input fieldMeaning and unitsAccepted input
frameWidthFrame WidthRequired. Finite number.
frameHeightFrame HeightRequired. Finite number.
borderBorderRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
clearWidthClear WidthRequired. Finite number.
clearHeightClear HeightRequired. Finite number.
areaArea in compatible squared-length units.Required. Finite number.
json
{
  "input": {
    "frameWidth": 20,
    "frameHeight": 20,
    "border": 2
  },
  "output": {
    "clearWidth": 16,
    "clearHeight": 16,
    "area": 256
  }
}

Limitations and assumptions

  • Lengths need one unit. The rectangular aperture excludes the border only; fixture compatibility, heat resistance, fastening, and safe lighting use are not assessed.
  • 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

  1. Calculation and input contract: performing-arts/theatrical-gel-frame-clear-aperture — tool.io

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