Description
Calculate shadowLength=wallAboveBed/tan(solarAltitude) and shadedFraction=min(1,shadowLength/bedWidth).
A farm or garden budget depends on a common area, quantity, observation period, and system boundary. Recovery, exclusions, overlap, and allocation change how a share is calculated. Supplied accounting or geometry terms remain separate from measured crop performance and verified environmental outcomes.
Calculate shadowLength=wallAboveBed/tan(solarAltitude) and shadedFraction=min(1,shadowLength/bedWidth).
When to use this tool
Use Raised BED Shade One Wall Projection when you need a clearly bounded area, material, resource, energy, or allocation term for supplied garden or farm records.
How to use the tool and how it works
- Enter wallAboveBed, solarAltitude, bedWidth. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read shadowLength, shadedFraction. Use the output convention below.
Calculate shadowLength=wallAboveBed/tan(solarAltitude) and shadedFraction=min(1,shadowLength/bedWidth). Require nonnegative wall height, positive bed width, and altitude strictly between zero and pi/2 radians.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| wallAboveBed | Wall Above Bed | Required. Finite number; minimum 0. |
| solarAltitude | Solar altitude in radians, strictly between zero and pi/2. | Required. Finite number; strictly above 0. |
| bedWidth | Bed Width | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| shadowLength | Shadow Length | Required. Finite number. |
| shadedFraction | Shaded Fraction | Required. Finite number. |
{
"input": {
"wallAboveBed": 2,
"solarAltitude": 0.7853981633974483,
"bedWidth": 4
},
"output": {
"shadowLength": 2.0000000000000004,
"shadedFraction": 0.5000000000000001
}
}Limitations and assumptions
- This assumes one vertical wall, a level bed, and aligned shadow direction. Solar position, time-weighted shade, surrounding objects, and crop light requirements are not modeled.
- 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
Verify the system boundary, units, and source records before combining this term into a resource or environmental report. Physical design and crop-performance questions require appropriate measurements and a broader model.
References
Similar or alternative tools
- Raised BED Liner Cutting Budget Term
Add twice depth plus rimAllowance to each bed dimension for cutLength and cutWidth, then multiply for area.
- Raised BED Soil Volume Term
Return volume=length*width*depth*fillFraction.