Reach Zone Primary Envelope Radius Checker

Audit actual planar task coordinates against caller measured reachable annulus, retaining too-near and too-far tasks; shoulder origin/obstructions assumed caller-defined, not generic optimal reach or safety.

Description

A planar reach envelope can exclude tasks both too near and too far.

A planar reach envelope can exclude tasks both too near and too far. Distances depend on the caller’s measured origin.^[1]

Enter nonempty local centimeter point pairs and nonnegative ordered inner/outer radii. Return radial distances, inclusive binary flags and zero-based outside indexes.

When to use Reach Zone Primary Envelope Radius Checker

Use Reach Zone Primary Envelope Radius Checker when you need to evaluate the supplied records under the calculation and evidence rules below. No obstructions, shoulder-origin estimation or universal optimal reach is modeled.

Prepare measured task, body, furniture or already weighted exposure records. Supply independently verified caller policies, tables and comparison limits with matching units and conditions.

How to use Reach Zone Primary Envelope Radius Checker and understand its results

Prepare measured task, body, furniture or already weighted exposure records. Supply independently verified caller policies, tables and comparison limits with matching units and conditions.
Enter taskCoordinatesCm, primaryReachOuterRadiusCm, callerExcludedInnerRadiusCm using the field table and calculation rules, then run the tool.
Read taskRadialDistancesCm, insideCallerPrimaryReachFlags, outsideReachTaskIndices. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
taskCoordinatesCm	Task coordinates cm	list of list of number	Required
primaryReachOuterRadiusCm	Primary reach outer radius cm	number	Required
callerExcludedInnerRadiusCm	Caller excluded inner radius cm	number	Required

Enter nonempty local centimeter point pairs and nonnegative ordered inner/outer radii. Return radial distances, inclusive binary flags and zero-based outside indexes.

distance=hypot(x,y); inside=inner≤distance≤outer

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
taskRadialDistancesCm	Task radial distances cm	list of number
insideCallerPrimaryReachFlags	Inside caller primary reach flags	list of number
outsideReachTaskIndices	Outside reach task indices	list of number

json

{
  "input": {
    "taskCoordinatesCm": [
      [
        30,
        0
      ],
      [
        50,
        0
      ],
      [
        0,
        10
      ]
    ],
    "primaryReachOuterRadiusCm": 40,
    "callerExcludedInnerRadiusCm": 15
  },
  "output": {
    "taskRadialDistancesCm": [
      30,
      50,
      10
    ],
    "insideCallerPrimaryReachFlags": [
      1,
      0,
      0
    ],
    "outsideReachTaskIndices": [
      1,
      2
    ]
  }
}

Limitations and assumptions

No obstructions, shoulder-origin estimation or universal optimal reach is modeled.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Matrices are limited to 128 rows and 128 entries per row. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Overhead Reach Limit Height Checker: Adjustable task heights and measured comfortable reach can share an interval. Fixed tasks above the upper reach limit are a separate check. For a complementary task, use Grip Diameter Cylindrical Handle Fit Calculator (5th-95th percentile): A caller-calibrated handle-to-hand ratio creates an individual diameter interval. Observed sample fit should retain excluded subjects.

References

Reach Zone Primary Envelope Radius Checker — tool.io

Similar or alternative tools

Overhead Reach Limit Height Checker
Adjustable task heights and measured comfortable reach can share an interval. Fixed tasks above the upper reach limit are a separate check.
Grip Diameter Cylindrical Handle Fit Calculator (5th-95th percentile)
A caller-calibrated handle-to-hand ratio creates an individual diameter interval. Observed sample fit should retain excluded subjects.