Skip to content

Main content

Joint Axis Angle Wrapping Gap Tool

Wrap an explicit research-axis difference with positive antipodal tie convention, not a clinical range of motion.

Loading tool…

Description

Return a shortest signed periodic angle gap.

Motion records combine sampled coordinates, periodic angles, event timing and signed work or impulse conventions. Local numerical differences and panels can be computed independently while actual event detection, full trajectories and physiological significance require complete measurements and analysis.

Return a shortest signed periodic angle gap.

When to use this tool

Use Joint Axis Angle Wrapping Gap when checking the stated movement timing, angle, geometry, energy or panel convention.

How to use the tool and how it works

  1. Enter angleDegrees, referenceDegrees, periodDegrees. 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 signedWrappedGap, antipodal. Inspect antipodal before interpreting the associated values.

Return a shortest signed periodic angle gap. Require periodDegrees > 0; wrap angle-reference into (-period/2,period/2], choosing positive half-period at an exact antipodal tie.1

Input fieldMeaning and unitsAccepted input
angleDegreesAngle DegreesRequired. Finite number.
referenceDegreesReference DegreesRequired. Finite number.
periodDegreesPeriod DegreesRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
signedWrappedGapSigned Wrapped GapRequired. Finite number.
antipodalExact half-period separation, resolved to the positive signed wrapped gap.Required. Boolean.
json
{
  "input": {
    "angleDegrees": 350,
    "referenceDegrees": 10,
    "periodDegrees": 360
  },
  "output": {
    "signedWrappedGap": -20,
    "antipodal": false
  }
}

Limitations and assumptions

  • Antipodal tests exact equality without tolerance; anatomical motion, normal ranges and coordinate calibration are not determined.
  • 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

Inspect calibrated motion/force data and use an appropriate complete trajectory or dynamics analysis; interpret health and safe-loading implications with qualified professionals.

References

  1. Calculation and input contract: biomechanics/joint-axis-angle-wrapping-gap — tool.io

Similar or alternative tools