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Joint Angle Wrapping One Cycle Tool

Wrap into [lower,lower+period) using a caller-selected angular unit and period.

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Description

Wrap a joint angle into a supplied cycle.

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.

Wrap a joint angle into a supplied cycle.

When to use this tool

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

How to use the tool and how it works

  1. Enter angle, lower, period. 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 wrapped, cycles. Use the output convention below.

Wrap a joint angle into a supplied cycle. Require period > 0; wrapped = lower+mod(angle-lower,period), cycles = floor((angle-lower)/period).1

Input fieldMeaning and unitsAccepted input
angleAngleRequired. Finite number.
lowerLowerRequired. Finite number.
periodPeriodRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
wrappedWrappedRequired. Finite number.
cyclesCyclesRequired. Safe integer.
json
{
  "input": {
    "angle": 370,
    "lower": 0,
    "period": 360
  },
  "output": {
    "wrapped": 10,
    "cycles": 1
  }
}

Limitations and assumptions

  • The intended interval is [lower,lower+period); compatible angle units and an appropriate origin are supplied.
  • 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-angle-wrapping-one-cycle — tool.io

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