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Geography: Geographic Cell Angular Center Tool

Return the angular, not area-weighted, center of a non-full eastward cell; equal longitude endpoints mean zero span and seam output is -180.

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Description

Compute the eastward wrapped longitude span, take its halfway point, and normalize into [-180, 180).

Longitude is an angular coordinate with a seam and equivalent values separated by full turns. Interval direction, endpoint inclusion, and half-turn policy must be fixed before comparing or averaging longitudes.

Compute the eastward wrapped longitude span, take its halfway point, and normalize into [-180, 180).

When to use this tool

Use Geography: Geographic Cell Angular Center when you need a longitude normalization, interval, or seam-policy calculation.

How to use the tool and how it works

  1. Enter southDegrees, northDegrees, westDegrees, eastDegrees. 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 result. Expand result to inspect the returned fields.

Require ordered bounded latitude limits and bounded longitude limits, reject longitude differences of exactly ±360, and average latitude. Compute the eastward wrapped longitude span, take its halfway point, and normalize into [-180, 180).1

Input fieldMeaning and unitsAccepted input
southDegreesSouth Degrees Unit: deg.Required. Finite number.
northDegreesNorth Degrees Unit: deg.Required. Finite number.
westDegreesWest Degrees Unit: deg.Required. Finite number.
eastDegreesEast Degrees Unit: deg.Required. Finite number.
Output fieldInterpretationReturned shape
resultObject containing the calculated members; expand to inspect the fields below.Required. Object.
result.latitudeDegreesLatitude DegreesCalculated result member: number.
result.longitudeDegreesLongitude DegreesCalculated result member: number.
json
{
  "input": {
    "southDegrees": 0,
    "northDegrees": 10,
    "westDegrees": 170,
    "eastDegrees": -170
  },
  "output": {
    "result": {
      "latitudeDegrees": 5,
      "longitudeDegrees": -180
    }
  }
}

Limitations and assumptions

  • Equal longitude endpoints mean zero width; seam-spanning intervals use the wrapped arc. The midpoint is angular, not an area centroid or ellipsoidal center.
  • Outputs are nested inside result. 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 a full spherical or ellipsoidal geometry method for routes and areas. Retain an explicit seam and endpoint policy when splitting, sorting, or averaging geographic data.

References

  1. Calculation and input contract: geography/geographic-cell-angular-center — tool.io

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