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Bias Grainline Angle Gap Tool

Compare unoriented fabric grain axes modulo 180 degrees with an explicit bias reference.

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Description

Wrap angleDegrees-minus-suppliedBiasDegrees modulo 180 and take the smaller complementary angle.

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.

Wrap angleDegrees-minus-suppliedBiasDegrees modulo 180 and take the smaller complementary angle.

When to use this tool

Use Bias Grainline Angle Gap when you need a stated pattern-angle or arc relationship.

How to use the tool and how it works

  1. Enter angleDegrees, suppliedBiasDegrees. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read acuteGapDegrees. Use the output convention below.

Wrap angleDegrees-minus-suppliedBiasDegrees modulo 180 and take the smaller complementary angle.1

Input fieldMeaning and unitsAccepted input
angleDegreesAngle DegreesRequired. Finite number.
suppliedBiasDegreesSupplied Bias DegreesRequired. Finite number.
Output fieldInterpretationReturned shape
acuteGapDegreesAcute Gap DegreesRequired. Finite number.
json
{
  "input": {
    "angleDegrees": 50,
    "suppliedBiasDegrees": 45
  },
  "output": {
    "acuteGapDegrees": 5
  }
}

Limitations and assumptions

  • The unoriented acute gap is 0-90 degrees. The supplied bias direction is not assumed 45 degrees and material behavior is not verified.
  • 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

  1. Calculation and input contract: fashion/bias-grainline-angle-gap — tool.io

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