Description
Return pieceAngleDegrees-minus-grainAngleDegrees and subtract suppliedBiasAngleDegrees for biasResidual.
Angle-based pattern calculations distinguish linear intake, chord, arc and unoriented grain direction. Degrees and radians are not interchangeable, and a local geometric relationship does not model fabric deformation or three-dimensional fit.
Return pieceAngleDegrees-minus-grainAngleDegrees and subtract suppliedBiasAngleDegrees for biasResidual.
When to use this tool
Use Pattern Piece Bias Angle Offset when you need a stated pattern-angle or arc relationship.
How to use the tool and how it works
- Enter pieceAngleDegrees, grainAngleDegrees, suppliedBiasAngleDegrees. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read signedAngleGap, biasResidual. Use the output convention below.
Return pieceAngleDegrees-minus-grainAngleDegrees and subtract suppliedBiasAngleDegrees for biasResidual.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| pieceAngleDegrees | Piece Angle Degrees | Required. Finite number. |
| grainAngleDegrees | Grain Angle Degrees | Required. Finite number. |
| suppliedBiasAngleDegrees | Supplied Bias Angle Degrees | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| signedAngleGap | Signed Angle Gap | Required. Finite number. |
| biasResidual | Bias Residual | Required. Finite number. |
{
"input": {
"pieceAngleDegrees": 70,
"grainAngleDegrees": 20,
"suppliedBiasAngleDegrees": 45
},
"output": {
"signedAngleGap": 50,
"biasResidual": 5
}
}Limitations and assumptions
- Angles are degrees and differences are not wrapped; equivalent orientations can differ by full or half turns. No canonical bias angle or fabric deformation is assumed.
- 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 the full pattern geometry and a suitable construction sample when rotation, grain behavior or fit matters. Verify angle units, branch choice and the meaning of intake before applying an identity.
References
Similar or alternative tools
- Bias Grainline Angle Gap
Wrap angleDegrees-minus-suppliedBiasDegrees modulo 180 and take the smaller complementary angle.
- Fabric Direction Nap Pair Tag
Preserve explicit fabric grain and nap direction labels without identifying textile structure.