Description
Sum nonnegative projectedAreas and subtract overlappingArea for shadowedUnion, then divide by positive totalArea.
An indoor-growing record or design budget combines quantities such as tray area, operating time, water volume, electrical energy, and light output. Ratios depend on a stated production boundary and period. Supplied conversion factors and idealized geometry need to remain separate from measured equipment and crop performance.
Sum nonnegative projectedAreas and subtract overlappingArea for shadowedUnion, then divide by positive totalArea.
When to use this tool
Use Rack Column Shadowed Area Fraction when you need one stated production, lighting, water, or geometry term from a consistently defined growing-system budget.
How to use the tool and how it works
- Enter projectedAreas, overlappingArea, totalArea. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read shadowedUnion, fraction. Use the output convention below.
Sum nonnegative projectedAreas and subtract overlappingArea for shadowedUnion, then divide by positive totalArea. Require nonnegative overlap no larger than the sum and a union no larger than totalArea.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| projectedAreas | Projected Areas | Required. Array of Finite number.; maximum items 256. |
| overlappingArea | Overlapping Area | Required. Finite number; minimum 0. |
| totalArea | Total Area | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| shadowedUnion | Shadowed Union | Required. Finite number. |
| fraction | Fraction | Required. Finite number. |
{
"input": {
"projectedAreas": [
10,
15
],
"overlappingArea": 5,
"totalArea": 100
},
"output": {
"shadowedUnion": 20,
"fraction": 0.2
}
}Limitations and assumptions
- Overlap is a supplied aggregate correction, not geometric shadow intersection. Areas need one unit and projection basis; sun position, light transport, and crop effects are not inferred.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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
Compare the supplied budget with measured system records and keep the same production boundary. Equipment selection, installation, and crop requirements need an appropriate engineering or agronomic assessment.
References
Similar or alternative tools
- Aisle Rack Floor Utilization Share
Sum rackFootprints and divide by that sum plus aisleArea and otherArea for floorFraction.
- Grow Rack Fixture Hanger Adjustment Gap
Nominal supplied vertical clearance ledger, without selecting crop lighting or structural limits.