Description
Return usable offcut-area credit, new-area need and surplus.
Studio material calculations distinguish gross stock, usable material, finished area and losses. A loss fraction can refer to material removed from the starting quantity or an extra allowance added to a requirement; these conventions produce different formulas and must remain explicit.
Return usable offcut-area credit, new-area need and surplus.
When to use this tool
Use Classroom Collage Offcut Area Credit when checking the stated studio material, shrinkage or usable-area convention.
How to use the tool and how it works
- Enter requiredArea, offcutAreas, usableFractions. Follow any array-alignment requirements below. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read usableOffcutArea, newAreaNeeded, surplus. Use the output convention below.
Return usable offcut-area credit, new-area need and surplus. Require aligned nonnegative areas, usable fractions in [0,1] and requiredArea >= 0; credit is dot product, need/surplus are opposite positive parts of required-credit.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| requiredArea | Required Area | Required. Finite number; minimum 0. |
| offcutAreas | Offcut Areas | Required. Array of finite number; maximum items 256. |
| usableFractions | Usable Fractions | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| usableOffcutArea | Usable Offcut Area | Required. Finite number. |
| newAreaNeeded | New Area Needed | Required. Finite number. |
| surplus | Surplus | Required. Finite number. |
{
"input": {
"requiredArea": 100,
"offcutAreas": [
40,
60
],
"usableFractions": [
0.5,
0.5
]
},
"output": {
"usableOffcutArea": 50,
"newAreaNeeded": 50,
"surplus": 0
}
}Limitations and assumptions
- Area credit does not solve a cutting/packing problem or establish usable offcut shapes and material compatibility.
- 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 measured material behavior, actual offcuts and process-specific trials to plan fabrication or firing; review classroom conditions with qualified staff.
References
Similar or alternative tools
- Mural Team Panel Area Allocation
Return one mural team's weighted area and waste-adjusted material area.
- Art Class Shared Material Portion
Return individual and shared material portions.