Description
Multiply length by 1+fraction for expansion or divide by that factor when compensate.
Dental laboratory and prosthetic research records distinguish measured dimensions, reference targets, material quantities, and evidence flags. Ratios and residuals depend on those measurement conventions. An idealized bench term or metadata match is separate from fabrication quality and clinical fit or suitability.
Multiply length by 1+fraction for expansion or divide by that factor when compensate.
When to use this tool
Use Dental Cast Expansion Linear Factor when you need the stated laboratory, bench, geometry, or device-record term from already supplied measurements or annotations.
How to use the tool and how it works
- Enter length, fraction, compensate. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read modelLength, scale. Use the output convention below.
Multiply length by 1+fraction for expansion or divide by that factor when compensate. Return modelLength and scale, requiring nonnegative length and fraction greater than minus one.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| length | Length | Required. Finite number; minimum 0. |
| fraction | Dimensionless fraction under the stated basis. | Required. Finite number; strictly above -1. |
| compensate | Compensate | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| modelLength | Model Length | Required. Finite number. |
| scale | Scale | Required. Finite number. |
{
"input": {
"length": 100,
"fraction": 0.02,
"compensate": false
},
"output": {
"modelLength": 102,
"scale": 1.02
}
}Limitations and assumptions
- Fraction is a decimal linear change, not a percentage numeral. This is a uniform supplied model, not measured expansion, a material prescription, or confirmation of clinical fit.
- 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
Use calibrated measurements and an appropriate complete geometric, material, or laboratory method when the task requires more than one bench term. Clinical suitability requires a separate professional assessment.
References
Similar or alternative tools
- Dental Cast Reference Factor
Return factor=referenceLength/measuredLength with positive measured length and nonnegative reference length.
- Dental Cast Reference Plane Offset
One-axis signed cast-model distance to an explicit reference plane.